@noble/curves - npm Package Compare versions

Comparing version 1.9.6 to 2.0.0-beta.1

abstract/oprf.d.ts

+/**
+ * RFC 9497: Oblivious Pseudorandom Functions (OPRFs) Using Prime-Order Groups.
+ * https://www.rfc-editor.org/rfc/rfc9497
+ *
+
+OPRF allows to interactively create an `Output = PRF(Input, serverSecretKey)`:
+
+- Server cannot calculate Output by itself: it doesn't know Input
+- Client cannot calculate Output by itself: it doesn't know server secretKey
+- An attacker interception the communication can't restore Input/Output/serverSecretKey and can't
+  link Input to some value.
+
+## Issues
+
+- Low-entropy inputs (e.g. password '123') enable brute-forced dictionary attacks by the server
+  (solveable by domain separation in POPRF)
+- High-level protocol needs to be constructed on top, because OPRF is low-level
+
+## Use cases
+
+1. **Password-Authenticated Key Exchange (PAKE):** Enables secure password login (e.g., OPAQUE)
+   without revealing the password to the server.
+2. **Private Set Intersection (PSI):** Allows two parties to compute the intersection of their
+   private sets without revealing non-intersecting elements.
+3. **Anonymous Credential Systems:** Supports issuance of anonymous, unlinkable credentials
+   (e.g., Privacy Pass) using blind OPRF evaluation.
+4. **Private Information Retrieval (PIR):** Helps users query databases without revealing which
+   item they accessed.
+5. **Encrypted Search / Secure Indexing:** Enables keyword search over encrypted data while keeping
+   queries private.
+6. **Spam Prevention and Rate-Limiting:** Issues anonymous tokens to prevent abuse
+   (e.g., CAPTCHA bypass) without compromising user privacy.
+
+## Modes
+
+- OPRF: simple mode, client doesn't need to know server public key
+- VOPRF: verifable mode, allows client to verify that server used secret key corresponding to known public key
+- POPRF: partially oblivious mode, VOPRF + domain separation
+
+There is also non-interactive mode (Evaluate) that supports creating Output in non-interactive mode with knowledge of secret key.
+
+Flow:
+- (once) Server generates secret and public keys, distributes public keys to clients
+  - deterministically: `deriveKeyPair` or just random: `generateKeyPair`
+- Client blinds input: `blind(secretInput)`
+- Server evaluates blinded input: `blindEvaluate` generated by client, sends result to client
+- Client creates output using result of evaluation via 'finalize'
+
+ * @module
+ */
+/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
+import { randomBytes } from '../utils.ts';
+import { type CurvePoint, type CurvePointCons } from './curve.ts';
+import { type H2CMethod, type htfBasicOpts } from './hash-to-curve.js';
+export type PointBytes = Uint8Array;
+export type ScalarBytes = Uint8Array;
+export type Bytes = Uint8Array;
+export type RNG = typeof randomBytes;
+export type OPRFOpts<P extends CurvePoint<any, P>> = {
+    name: string;
+    Point: CurvePointCons<P>;
+    hash: (msg: Bytes) => Bytes;
+    hashToScalar: (msg: Uint8Array, options: htfBasicOpts) => bigint;
+    hashToGroup: ((msg: Uint8Array, options: htfBasicOpts) => P) | H2CMethod<P>;
+};
+export type OPRFKeys = {
+    secretKey: ScalarBytes;
+    publicKey: PointBytes;
+};
+export type OPRFBlind = {
+    blind: Uint8Array;
+    blinded: Uint8Array;
+};
+export type OPRFBlindEval = {
+    evaluated: PointBytes;
+    proof: Bytes;
+};
+export type OPRFBlindEvalBatch = {
+    evaluated: PointBytes[];
+    proof: Bytes;
+};
+export type OPRFFinalizeItem = {
+    input: Bytes;
+    blind: ScalarBytes;
+    evaluated: PointBytes;
+    blinded: PointBytes;
+};
+/**
+ * Represents a full OPRF ciphersuite implementation according to RFC 9497.
+ * This object bundles the three protocol variants (OPRF, VOPRF, POPRF) for a specific
+ * prime-order group and hash function combination.
+ *
+ * @see https://www.rfc-editor.org/rfc/rfc9497.html
+ */
+export type OPRF = {
+    /**
+     * The unique identifier for the ciphersuite, e.g., "ristretto255-SHA512".
+     * This name is used for domain separation to prevent cross-protocol attacks.
+     */
+    readonly name: string;
+    /**
+     * The base Oblivious Pseudorandom Function (OPRF) mode (mode 0x00).
+     * This is a two-party protocol between a client and a server to compute F(k, x)
+     * where 'k' is the server's key and 'x' is the client's input.
+     *
+     * The client learns the output F(k, x) but nothing about 'k'.
+     * The server learns nothing about 'x' or F(k, x).
+     * This mode is NOT verifiable; the client cannot prove the server used a specific key.
+     */
+    readonly oprf: {
+        /**
+         * (Server-side) Generates a new random private/public key pair for the server.
+         * @returns A new key pair.
+         */
+        generateKeyPair(): OPRFKeys;
+        /**
+         * (Server-side) Deterministically derives a private/public key pair from a seed.
+         * @param seed A 32-byte cryptographically secure random seed.
+         * @param keyInfo An optional byte string for domain separation.
+         * @returns The derived key pair.
+         */
+        deriveKeyPair(seed: Bytes, keyInfo: Bytes): OPRFKeys;
+        /**
+         * (Client-side) The first step of the protocol. The client blinds its private input.
+         * @param input The client's private input bytes.
+         * @param rng An optional cryptographically secure random number generator.
+         * @returns An object containing the `blind` scalar (which the client MUST keep secret)
+         * and the `blinded` element (which the client sends to the server).
+         */
+        blind(input: Bytes, rng?: RNG): OPRFBlind;
+        /**
+         * (Server-side) The second step. The server evaluates the client's blinded element
+         * using its secret key.
+         * @param secretKey The server's private key.
+         * @param blinded The blinded group element received from the client.
+         * @returns The evaluated group element, to be sent back to the client.
+         */
+        blindEvaluate(secretKey: ScalarBytes, blinded: PointBytes): PointBytes;
+        /**
+         * (Client-side) The final step. The client unblinds the server's response to
+         * compute the final OPRF output.
+         * @param input The original private input from the `blind` step.
+         * @param blind The secret scalar from the `blind` step.
+         * @param evaluated The evaluated group element received from the server.
+         * @returns The final OPRF output, `Hash(len(input)||input||len(unblinded)||unblinded||"Finalize")`.
+         */
+        finalize(input: Bytes, blind: ScalarBytes, evaluated: PointBytes): Bytes;
+    };
+    /**
+     * The Verifiable Oblivious Pseudorandom Function (VOPRF) mode (mode 0x01).
+     * This mode extends the base OPRF by providing a proof that the server used the
+     * secret key corresponding to its known public key.
+     */
+    readonly voprf: {
+        /** (Server-side) Generates a key pair for the VOPRF mode. */
+        generateKeyPair(): OPRFKeys;
+        /** (Server-side) Deterministically derives a key pair for the VOPRF mode. */
+        deriveKeyPair(seed: Bytes, keyInfo: Bytes): OPRFKeys;
+        /** (Client-side) Blinds the client's private input for the VOPRF protocol. */
+        blind(input: Bytes, rng?: RNG): OPRFBlind;
+        /**
+         * (Server-side) Evaluates the client's blinded element and generates a DLEQ proof
+         * of correctness.
+         * @param secretKey The server's private key.
+         * @param publicKey The server's public key, used in proof generation.
+         * @param blinded The blinded group element received from the client.
+         * @param rng An optional cryptographically secure random number generator for the proof.
+         * @returns The evaluated element and a proof of correct computation.
+         */
+        blindEvaluate(secretKey: ScalarBytes, publicKey: PointBytes, blinded: PointBytes, rng?: RNG): OPRFBlindEval;
+        /**
+         * (Server-side) An optimized batch version of `blindEvaluate`. It evaluates multiple
+         * blinded elements and produces a single, constant-size proof for the entire batch,
+         * amortizing the cost of proof generation.
+         * @param secretKey The server's private key.
+         * @param publicKey The server's public key.
+         * @param blinded An array of blinded group elements from one or more clients.
+         * @param rng An optional cryptographically secure random number generator for the proof.
+         * @returns An array of evaluated elements and a single proof for the batch.
+         */
+        blindEvaluateBatch(secretKey: ScalarBytes, publicKey: PointBytes, blinded: PointBytes[], rng?: RNG): OPRFBlindEvalBatch;
+        /**
+         * (Client-side) The final step. The client verifies the server's proof, and if valid,
+         * unblinds the result to compute the final VOPRF output.
+         * @param input The original private input.
+         * @param blind The secret scalar from the `blind` step.
+         * @param evaluated The evaluated element from the server.
+         * @param blinded The blinded element sent to the server (needed for proof verification).
+         * @param publicKey The server's public key against which the proof is verified.
+         * @param proof The DLEQ proof from the server.
+         * @returns The final VOPRF output.
+         * @throws If the proof verification fails.
+         */
+        finalize(input: Bytes, blind: ScalarBytes, evaluated: PointBytes, blinded: PointBytes, publicKey: PointBytes, proof: Bytes): Bytes;
+        /**
+         * (Client-side) The batch-aware version of `finalize`. It verifies a single batch proof
+         * against a list of corresponding inputs and outputs.
+         * @param items An array of objects, each containing the parameters for a single finalization.
+         * @param publicKey The server's public key.
+         * @param proof The single DLEQ proof for the entire batch.
+         * @returns An array of final VOPRF outputs, one for each item in the input.
+         * @throws If the proof verification fails.
+         */
+        finalizeBatch(items: OPRFFinalizeItem[], publicKey: PointBytes, proof: Bytes): Bytes[];
+    };
+    /**
+     * A factory for the Partially Oblivious Pseudorandom Function (POPRF) mode (mode 0x02).
+     * This mode extends VOPRF to include a public `info` parameter, known to both client and
+     * server, which is cryptographically bound to the final output.
+     * This is useful for domain separation at the application level.
+     * @param info A public byte string to be mixed into the computation.
+     * @returns An object with the POPRF protocol functions.
+     */
+    readonly poprf: (info: Bytes) => {
+        /** (Server-side) Generates a key pair for the POPRF mode. */
+        generateKeyPair(): OPRFKeys;
+        /** (Server-side) Deterministically derives a key pair for the POPRF mode. */
+        deriveKeyPair(seed: Bytes, keyInfo: Bytes): OPRFKeys;
+        /**
+         * (Client-side) Blinds the client's private input and computes the "tweaked key".
+         * The tweaked key is a public value derived from the server's public key and the public `info`.
+         * @param input The client's private input.
+         * @param publicKey The server's public key.
+         * @param rng An optional cryptographically secure random number generator.
+         * @returns The `blind`, `blinded` element, and the `tweakedKey` which the client uses for verification.
+         */
+        blind(input: Bytes, publicKey: PointBytes, rng?: RNG): OPRFBlind & {
+            tweakedKey: PointBytes;
+        };
+        /**
+         * (Server-side) Evaluates the blinded element using a key derived from its secret key and the public `info`.
+         * It generates a DLEQ proof against the tweaked key.
+         * @param secretKey The server's private key.
+         * @param blinded The blinded element from the client.
+         * @param rng An optional RNG for the proof.
+         * @returns The evaluated element and a proof of correct computation.
+         */
+        blindEvaluate(secretKey: ScalarBytes, blinded: PointBytes, rng?: RNG): OPRFBlindEval;
+        /**
+         * (Server-side) A batch-aware version of `blindEvaluate` for the POPRF mode.
+         * @param secretKey The server's private key.
+         * @param blinded An array of blinded elements.
+         * @param rng An optional RNG for the proof.
+         * @returns An array of evaluated elements and a single proof for the batch.
+         */
+        blindEvaluateBatch(secretKey: ScalarBytes, blinded: PointBytes[], rng: RNG): OPRFBlindEvalBatch;
+        /**
+         * (Client-side) A batch-aware version of `finalize` for the POPRF mode.
+         * It verifies the proof against the tweaked key.
+         * @param items An array containing the parameters for each finalization.
+         * @param proof The single DLEQ proof for the batch.
+         * @param tweakedKey The tweaked key corresponding to the proof (all items must share the same `info` and `publicKey`).
+         * @returns An array of final POPRF outputs.
+         * @throws If proof verification fails.
+         */
+        finalizeBatch(items: OPRFFinalizeItem[], proof: Bytes, tweakedKey: PointBytes): Bytes[];
+        /**
+         * (Client-side) Finalizes the POPRF protocol. It verifies the server's proof against the
+         * `tweakedKey` computed in the `blind` step. The final output is bound to the public `info`.
+         * @param input The original private input.
+         * @param blind The secret scalar.
+         * @param evaluated The evaluated element from the server.
+         * @param blinded The blinded element sent to the server.
+         * @param proof The DLEQ proof from the server.
+         * @param tweakedKey The public tweaked key computed by the client during the `blind` step.
+         * @returns The final POPRF output.
+         * @throws If proof verification fails.
+         */
+        finalize(input: Bytes, blind: ScalarBytes, evaluated: PointBytes, blinded: PointBytes, proof: Bytes, tweakedKey: PointBytes): Bytes;
+        /**
+         * A non-interactive evaluation function for an entity that knows all inputs.
+         * Computes the final POPRF output directly. Useful for testing or specific applications
+         * where the server needs to compute the output for a known input.
+         * @param secretKey The server's private key.
+         * @param input The client's private input.
+         * @returns The final POPRF output.
+         */
+        evaluate(secretKey: ScalarBytes, input: Bytes): Bytes;
+    };
+};
+export declare function createORPF<P extends CurvePoint<any, P>>(opts: OPRFOpts<P>): OPRF;
+//# sourceMappingURL=oprf.d.ts.map

abstract/oprf.d.ts.map

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abstract/oprf.js

+/**
+ * RFC 9497: Oblivious Pseudorandom Functions (OPRFs) Using Prime-Order Groups.
+ * https://www.rfc-editor.org/rfc/rfc9497
+ *
+
+OPRF allows to interactively create an `Output = PRF(Input, serverSecretKey)`:
+
+- Server cannot calculate Output by itself: it doesn't know Input
+- Client cannot calculate Output by itself: it doesn't know server secretKey
+- An attacker interception the communication can't restore Input/Output/serverSecretKey and can't
+  link Input to some value.
+
+## Issues
+
+- Low-entropy inputs (e.g. password '123') enable brute-forced dictionary attacks by the server
+  (solveable by domain separation in POPRF)
+- High-level protocol needs to be constructed on top, because OPRF is low-level
+
+## Use cases
+
+1. **Password-Authenticated Key Exchange (PAKE):** Enables secure password login (e.g., OPAQUE)
+   without revealing the password to the server.
+2. **Private Set Intersection (PSI):** Allows two parties to compute the intersection of their
+   private sets without revealing non-intersecting elements.
+3. **Anonymous Credential Systems:** Supports issuance of anonymous, unlinkable credentials
+   (e.g., Privacy Pass) using blind OPRF evaluation.
+4. **Private Information Retrieval (PIR):** Helps users query databases without revealing which
+   item they accessed.
+5. **Encrypted Search / Secure Indexing:** Enables keyword search over encrypted data while keeping
+   queries private.
+6. **Spam Prevention and Rate-Limiting:** Issues anonymous tokens to prevent abuse
+   (e.g., CAPTCHA bypass) without compromising user privacy.
+
+## Modes
+
+- OPRF: simple mode, client doesn't need to know server public key
+- VOPRF: verifable mode, allows client to verify that server used secret key corresponding to known public key
+- POPRF: partially oblivious mode, VOPRF + domain separation
+
+There is also non-interactive mode (Evaluate) that supports creating Output in non-interactive mode with knowledge of secret key.
+
+Flow:
+- (once) Server generates secret and public keys, distributes public keys to clients
+  - deterministically: `deriveKeyPair` or just random: `generateKeyPair`
+- Client blinds input: `blind(secretInput)`
+- Server evaluates blinded input: `blindEvaluate` generated by client, sends result to client
+- Client creates output using result of evaluation via 'finalize'
+
+ * @module
+ */
+/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
+import { abytes, asciiToBytes, bytesToNumberBE, bytesToNumberLE, concatBytes, numberToBytesBE, randomBytes, validateObject, } from "../utils.js";
+import { pippenger } from "./curve.js";
+import { _DST_scalar } from './hash-to-curve.js';
+import { getMinHashLength, mapHashToField } from './modular.js';
+// welcome to generic hell
+export function createORPF(opts) {
+    validateObject(opts, {
+        name: 'string',
+        hash: 'function',
+        hashToScalar: 'function',
+        hashToGroup: 'function',
+    });
+    // TODO
+    // Point: 'point',
+    const { name, Point, hash } = opts;
+    const { Fn } = Point;
+    const hashToGroup = (msg, ctx) => opts.hashToGroup(msg, {
+        DST: concatBytes(asciiToBytes('HashToGroup-'), ctx),
+    });
+    const hashToScalarPrefixed = (msg, ctx) => opts.hashToScalar(msg, { DST: concatBytes(_DST_scalar, ctx) });
+    const randomScalar = (rng = randomBytes) => {
+        const t = mapHashToField(rng(getMinHashLength(Fn.ORDER)), Fn.ORDER, Fn.isLE);
+        // We cannot use Fn.fromBytes here, because field
+        // can have different number of bytes (like ed448)
+        return Fn.isLE ? bytesToNumberLE(t) : bytesToNumberBE(t);
+    };
+    const msm = (points, scalars) => pippenger(Point, points, scalars);
+    const getCtx = (mode) => concatBytes(asciiToBytes('OPRFV1-'), new Uint8Array([mode]), asciiToBytes('-' + name));
+    const ctxOPRF = getCtx(0x00);
+    const ctxVOPRF = getCtx(0x01);
+    const ctxPOPRF = getCtx(0x02);
+    function encode(...args) {
+        const res = [];
+        for (const a of args) {
+            if (typeof a === 'number')
+                res.push(numberToBytesBE(a, 2));
+            else if (typeof a === 'string')
+                res.push(asciiToBytes(a));
+            else {
+                abytes(a);
+                res.push(numberToBytesBE(a.length, 2), a);
+            }
+        }
+        // No wipe here, since will modify actual bytes
+        return concatBytes(...res);
+    }
+    const hashInput = (...bytes) => hash(encode(...bytes, 'Finalize'));
+    function getTranscripts(B, C, D, ctx) {
+        const Bm = B.toBytes();
+        const seed = hash(encode(Bm, concatBytes(asciiToBytes('Seed-'), ctx)));
+        const res = [];
+        for (let i = 0; i < C.length; i++) {
+            const Ci = C[i].toBytes();
+            const Di = D[i].toBytes();
+            const di = hashToScalarPrefixed(encode(seed, i, Ci, Di, 'Composite'), ctx);
+            res.push(di);
+        }
+        return res;
+    }
+    function computeComposites(B, C, D, ctx) {
+        const T = getTranscripts(B, C, D, ctx);
+        const M = msm(C, T);
+        const Z = msm(D, T);
+        return { M, Z };
+    }
+    function computeCompositesFast(k, B, C, D, ctx) {
+        const T = getTranscripts(B, C, D, ctx);
+        const M = msm(C, T);
+        const Z = M.multiply(k);
+        return { M, Z };
+    }
+    function challengeTranscript(B, M, Z, t2, t3, ctx) {
+        const [Bm, a0, a1, a2, a3] = [B, M, Z, t2, t3].map((i) => i.toBytes());
+        return hashToScalarPrefixed(encode(Bm, a0, a1, a2, a3, 'Challenge'), ctx);
+    }
+    function generateProof(ctx, k, B, C, D, rng) {
+        const { M, Z } = computeCompositesFast(k, B, C, D, ctx);
+        const r = randomScalar(rng);
+        const t2 = Point.BASE.multiply(r);
+        const t3 = M.multiply(r);
+        const c = challengeTranscript(B, M, Z, t2, t3, ctx);
+        const s = Fn.sub(r, Fn.mul(c, k)); // r - c*k
+        return concatBytes(...[c, s].map((i) => Fn.toBytes(i)));
+    }
+    function verifyProof(ctx, B, C, D, proof) {
+        abytes(proof, 2 * Fn.BYTES);
+        const { M, Z } = computeComposites(B, C, D, ctx);
+        const [c, s] = [proof.subarray(0, Fn.BYTES), proof.subarray(Fn.BYTES)].map((f) => Fn.fromBytes(f));
+        const t2 = Point.BASE.multiply(s).add(B.multiply(c)); // s*G + c*B
+        const t3 = M.multiply(s).add(Z.multiply(c)); // s*M + c*Z
+        const expectedC = challengeTranscript(B, M, Z, t2, t3, ctx);
+        if (!Fn.eql(c, expectedC))
+            throw new Error('proof verification failed');
+    }
+    function generateKeyPair() {
+        const skS = randomScalar();
+        const pkS = Point.BASE.multiply(skS);
+        return { secretKey: Fn.toBytes(skS), publicKey: pkS.toBytes() };
+    }
+    function deriveKeyPair(ctx, seed, info) {
+        const dst = concatBytes(asciiToBytes('DeriveKeyPair'), ctx);
+        const msg = concatBytes(seed, encode(info), new Uint8Array([0]));
+        for (let counter = 0; counter <= 255; counter++) {
+            msg[msg.length - 1] = counter;
+            const skS = opts.hashToScalar(msg, { DST: dst });
+            if (Fn.is0(skS))
+                continue; // should not happen
+            return { secretKey: Fn.toBytes(skS), publicKey: Point.BASE.multiply(skS).toBytes() };
+        }
+        throw new Error('Cannot derive key');
+    }
+    function blind(ctx, input, rng = randomBytes) {
+        const blind = randomScalar(rng);
+        const inputPoint = hashToGroup(input, ctx);
+        if (inputPoint.equals(Point.ZERO))
+            throw new Error('Input point at infinity');
+        const blinded = inputPoint.multiply(blind);
+        return { blind: Fn.toBytes(blind), blinded: blinded.toBytes() };
+    }
+    function evaluate(ctx, secretKey, input) {
+        const skS = Fn.fromBytes(secretKey);
+        const inputPoint = hashToGroup(input, ctx);
+        if (inputPoint.equals(Point.ZERO))
+            throw new Error('Input point at infinity');
+        const unblinded = inputPoint.multiply(skS).toBytes();
+        return hashInput(input, unblinded);
+    }
+    const oprf = {
+        generateKeyPair,
+        deriveKeyPair: (seed, keyInfo) => deriveKeyPair(ctxOPRF, seed, keyInfo),
+        blind: (input, rng = randomBytes) => blind(ctxOPRF, input, rng),
+        blindEvaluate(secretKey, blindedPoint) {
+            const skS = Fn.fromBytes(secretKey);
+            const elm = Point.fromBytes(blindedPoint);
+            return elm.multiply(skS).toBytes();
+        },
+        finalize(input, blindBytes, evaluatedBytes) {
+            const blind = Fn.fromBytes(blindBytes);
+            const evalPoint = Point.fromBytes(evaluatedBytes);
+            const unblinded = evalPoint.multiply(Fn.inv(blind)).toBytes();
+            return hashInput(input, unblinded);
+        },
+        evaluate: (secretKey, input) => evaluate(ctxOPRF, secretKey, input),
+    };
+    const voprf = {
+        generateKeyPair,
+        deriveKeyPair: (seed, keyInfo) => deriveKeyPair(ctxVOPRF, seed, keyInfo),
+        blind: (input, rng = randomBytes) => blind(ctxVOPRF, input, rng),
+        blindEvaluateBatch(secretKey, publicKey, blinded, rng = randomBytes) {
+            if (!Array.isArray(blinded))
+                throw new Error('expected array');
+            const skS = Fn.fromBytes(secretKey);
+            const pkS = Point.fromBytes(publicKey);
+            const blindedPoints = blinded.map(Point.fromBytes);
+            const evaluated = blindedPoints.map((i) => i.multiply(skS));
+            const proof = generateProof(ctxVOPRF, skS, pkS, blindedPoints, evaluated, rng);
+            return { evaluated: evaluated.map((i) => i.toBytes()), proof };
+        },
+        blindEvaluate(secretKey, publicKey, blinded, rng = randomBytes) {
+            const res = this.blindEvaluateBatch(secretKey, publicKey, [blinded], rng);
+            return { evaluated: res.evaluated[0], proof: res.proof };
+        },
+        finalizeBatch(items, publicKey, proof) {
+            if (!Array.isArray(items))
+                throw new Error('expected array');
+            const pkS = Point.fromBytes(publicKey);
+            const blindedPoints = items.map((i) => i.blinded).map(Point.fromBytes);
+            const evalPoints = items.map((i) => i.evaluated).map(Point.fromBytes);
+            verifyProof(ctxVOPRF, pkS, blindedPoints, evalPoints, proof);
+            return items.map((i) => oprf.finalize(i.input, i.blind, i.evaluated));
+        },
+        finalize(input, blind, evaluated, blinded, publicKey, proof) {
+            return this.finalizeBatch([{ input, blind, evaluated, blinded }], publicKey, proof)[0];
+        },
+        evaluate: (secretKey, input) => evaluate(ctxVOPRF, secretKey, input),
+    };
+    // NOTE: info is domain separation
+    const poprf = (info) => {
+        const m = hashToScalarPrefixed(encode('Info', info), ctxPOPRF);
+        const T = Point.BASE.multiply(m);
+        return {
+            generateKeyPair,
+            deriveKeyPair: (seed, keyInfo) => deriveKeyPair(ctxPOPRF, seed, keyInfo),
+            blind(input, publicKey, rng = randomBytes) {
+                const pkS = Point.fromBytes(publicKey);
+                const tweakedKey = T.add(pkS);
+                if (tweakedKey.equals(Point.ZERO))
+                    throw new Error('tweakedKey point at infinity');
+                const blind = randomScalar(rng);
+                const inputPoint = hashToGroup(input, ctxPOPRF);
+                if (inputPoint.equals(Point.ZERO))
+                    throw new Error('Input point at infinity');
+                const blindedPoint = inputPoint.multiply(blind);
+                return {
+                    blind: Fn.toBytes(blind),
+                    blinded: blindedPoint.toBytes(),
+                    tweakedKey: tweakedKey.toBytes(),
+                };
+            },
+            blindEvaluateBatch(secretKey, blinded, rng = randomBytes) {
+                if (!Array.isArray(blinded))
+                    throw new Error('expected array');
+                const skS = Fn.fromBytes(secretKey);
+                const t = Fn.add(skS, m);
+                // "Hence, this error can be a signal for the server to replace its private key". We throw inside,
+                // should be impossible.
+                const invT = Fn.inv(t);
+                const blindedPoints = blinded.map(Point.fromBytes);
+                const evalPoints = blindedPoints.map((i) => i.multiply(invT));
+                const tweakedKey = Point.BASE.multiply(t);
+                const proof = generateProof(ctxPOPRF, t, tweakedKey, evalPoints, blindedPoints, rng);
+                return { evaluated: evalPoints.map((i) => i.toBytes()), proof };
+            },
+            blindEvaluate(secretKey, blinded, rng = randomBytes) {
+                const res = this.blindEvaluateBatch(secretKey, [blinded], rng);
+                return { evaluated: res.evaluated[0], proof: res.proof };
+            },
+            finalizeBatch(items, proof, tweakedKey) {
+                if (!Array.isArray(items))
+                    throw new Error('expected array');
+                const evalPoints = items.map((i) => i.evaluated).map(Point.fromBytes);
+                verifyProof(ctxPOPRF, Point.fromBytes(tweakedKey), evalPoints, items.map((i) => i.blinded).map(Point.fromBytes), proof);
+                return items.map((i, j) => {
+                    const blind = Fn.fromBytes(i.blind);
+                    const point = evalPoints[j].multiply(Fn.inv(blind)).toBytes();
+                    return hashInput(i.input, info, point);
+                });
+            },
+            finalize(input, blind, evaluated, blinded, proof, tweakedKey) {
+                return this.finalizeBatch([{ input, blind, evaluated, blinded }], proof, tweakedKey)[0];
+            },
+            evaluate(secretKey, input) {
+                const skS = Fn.fromBytes(secretKey);
+                const inputPoint = hashToGroup(input, ctxPOPRF);
+                if (inputPoint.equals(Point.ZERO))
+                    throw new Error('Input point at infinity');
+                const t = Fn.add(skS, m);
+                const invT = Fn.inv(t);
+                const unblinded = inputPoint.multiply(invT).toBytes();
+                return hashInput(input, info, unblinded);
+            },
+        };
+    };
+    return Object.freeze({ name, oprf, voprf, poprf, __tests: { Fn } });
+}
+//# sourceMappingURL=oprf.js.map

abstract/oprf.js.map

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src/abstract/oprf.ts

+/**
+ * RFC 9497: Oblivious Pseudorandom Functions (OPRFs) Using Prime-Order Groups.
+ * https://www.rfc-editor.org/rfc/rfc9497
+ *
+
+OPRF allows to interactively create an `Output = PRF(Input, serverSecretKey)`:
+
+- Server cannot calculate Output by itself: it doesn't know Input
+- Client cannot calculate Output by itself: it doesn't know server secretKey
+- An attacker interception the communication can't restore Input/Output/serverSecretKey and can't
+  link Input to some value.
+
+## Issues
+
+- Low-entropy inputs (e.g. password '123') enable brute-forced dictionary attacks by the server
+  (solveable by domain separation in POPRF)
+- High-level protocol needs to be constructed on top, because OPRF is low-level
+
+## Use cases
+
+1. **Password-Authenticated Key Exchange (PAKE):** Enables secure password login (e.g., OPAQUE)
+   without revealing the password to the server.
+2. **Private Set Intersection (PSI):** Allows two parties to compute the intersection of their
+   private sets without revealing non-intersecting elements.
+3. **Anonymous Credential Systems:** Supports issuance of anonymous, unlinkable credentials
+   (e.g., Privacy Pass) using blind OPRF evaluation.
+4. **Private Information Retrieval (PIR):** Helps users query databases without revealing which
+   item they accessed.
+5. **Encrypted Search / Secure Indexing:** Enables keyword search over encrypted data while keeping
+   queries private.
+6. **Spam Prevention and Rate-Limiting:** Issues anonymous tokens to prevent abuse
+   (e.g., CAPTCHA bypass) without compromising user privacy.
+
+## Modes
+
+- OPRF: simple mode, client doesn't need to know server public key
+- VOPRF: verifable mode, allows client to verify that server used secret key corresponding to known public key
+- POPRF: partially oblivious mode, VOPRF + domain separation
+
+There is also non-interactive mode (Evaluate) that supports creating Output in non-interactive mode with knowledge of secret key.
+
+Flow:
+- (once) Server generates secret and public keys, distributes public keys to clients
+  - deterministically: `deriveKeyPair` or just random: `generateKeyPair`
+- Client blinds input: `blind(secretInput)`
+- Server evaluates blinded input: `blindEvaluate` generated by client, sends result to client
+- Client creates output using result of evaluation via 'finalize'
+
+ * @module
+ */
+/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
+import {
+  abytes,
+  asciiToBytes,
+  bytesToNumberBE,
+  bytesToNumberLE,
+  concatBytes,
+  numberToBytesBE,
+  randomBytes,
+  validateObject,
+} from '../utils.ts';
+import { pippenger, type CurvePoint, type CurvePointCons } from './curve.ts';
+import { _DST_scalar, type H2CMethod, type htfBasicOpts } from './hash-to-curve.js';
+import { getMinHashLength, mapHashToField } from './modular.js';
+
+// OPRF is designed to be used across network, so we default to serialized values.
+export type PointBytes = Uint8Array;
+export type ScalarBytes = Uint8Array;
+export type Bytes = Uint8Array;
+export type RNG = typeof randomBytes;
+
+export type OPRFOpts<P extends CurvePoint<any, P>> = {
+  name: string;
+  Point: CurvePointCons<P>; // we don't return Point, so we need generic interface only
+  // Fn: IField<bigint>;
+  hash: (msg: Bytes) => Bytes;
+  hashToScalar: (msg: Uint8Array, options: htfBasicOpts) => bigint;
+  hashToGroup: ((msg: Uint8Array, options: htfBasicOpts) => P) | H2CMethod<P>;
+};
+
+export type OPRFKeys = { secretKey: ScalarBytes; publicKey: PointBytes };
+export type OPRFBlind = { blind: Uint8Array; blinded: Uint8Array };
+export type OPRFBlindEval = { evaluated: PointBytes; proof: Bytes };
+export type OPRFBlindEvalBatch = { evaluated: PointBytes[]; proof: Bytes };
+export type OPRFFinalizeItem = {
+  input: Bytes;
+  blind: ScalarBytes;
+  evaluated: PointBytes;
+  blinded: PointBytes;
+};
+
+/**
+ * Represents a full OPRF ciphersuite implementation according to RFC 9497.
+ * This object bundles the three protocol variants (OPRF, VOPRF, POPRF) for a specific
+ * prime-order group and hash function combination.
+ *
+ * @see https://www.rfc-editor.org/rfc/rfc9497.html
+ */
+export type OPRF = {
+  /**
+   * The unique identifier for the ciphersuite, e.g., "ristretto255-SHA512".
+   * This name is used for domain separation to prevent cross-protocol attacks.
+   */
+  readonly name: string;
+
+  /**
+   * The base Oblivious Pseudorandom Function (OPRF) mode (mode 0x00).
+   * This is a two-party protocol between a client and a server to compute F(k, x)
+   * where 'k' is the server's key and 'x' is the client's input.
+   *
+   * The client learns the output F(k, x) but nothing about 'k'.
+   * The server learns nothing about 'x' or F(k, x).
+   * This mode is NOT verifiable; the client cannot prove the server used a specific key.
+   */
+  readonly oprf: {
+    /**
+     * (Server-side) Generates a new random private/public key pair for the server.
+     * @returns A new key pair.
+     */
+    generateKeyPair(): OPRFKeys;
+
+    /**
+     * (Server-side) Deterministically derives a private/public key pair from a seed.
+     * @param seed A 32-byte cryptographically secure random seed.
+     * @param keyInfo An optional byte string for domain separation.
+     * @returns The derived key pair.
+     */
+    deriveKeyPair(seed: Bytes, keyInfo: Bytes): OPRFKeys;
+
+    /**
+     * (Client-side) The first step of the protocol. The client blinds its private input.
+     * @param input The client's private input bytes.
+     * @param rng An optional cryptographically secure random number generator.
+     * @returns An object containing the `blind` scalar (which the client MUST keep secret)
+     * and the `blinded` element (which the client sends to the server).
+     */
+    blind(input: Bytes, rng?: RNG): OPRFBlind;
+
+    /**
+     * (Server-side) The second step. The server evaluates the client's blinded element
+     * using its secret key.
+     * @param secretKey The server's private key.
+     * @param blinded The blinded group element received from the client.
+     * @returns The evaluated group element, to be sent back to the client.
+     */
+    blindEvaluate(secretKey: ScalarBytes, blinded: PointBytes): PointBytes;
+
+    /**
+     * (Client-side) The final step. The client unblinds the server's response to
+     * compute the final OPRF output.
+     * @param input The original private input from the `blind` step.
+     * @param blind The secret scalar from the `blind` step.
+     * @param evaluated The evaluated group element received from the server.
+     * @returns The final OPRF output, `Hash(len(input)||input||len(unblinded)||unblinded||"Finalize")`.
+     */
+    finalize(input: Bytes, blind: ScalarBytes, evaluated: PointBytes): Bytes;
+  };
+
+  /**
+   * The Verifiable Oblivious Pseudorandom Function (VOPRF) mode (mode 0x01).
+   * This mode extends the base OPRF by providing a proof that the server used the
+   * secret key corresponding to its known public key.
+   */
+  readonly voprf: {
+    /** (Server-side) Generates a key pair for the VOPRF mode. */
+    generateKeyPair(): OPRFKeys;
+    /** (Server-side) Deterministically derives a key pair for the VOPRF mode. */
+    deriveKeyPair(seed: Bytes, keyInfo: Bytes): OPRFKeys;
+    /** (Client-side) Blinds the client's private input for the VOPRF protocol. */
+    blind(input: Bytes, rng?: RNG): OPRFBlind;
+
+    /**
+     * (Server-side) Evaluates the client's blinded element and generates a DLEQ proof
+     * of correctness.
+     * @param secretKey The server's private key.
+     * @param publicKey The server's public key, used in proof generation.
+     * @param blinded The blinded group element received from the client.
+     * @param rng An optional cryptographically secure random number generator for the proof.
+     * @returns The evaluated element and a proof of correct computation.
+     */
+    blindEvaluate(
+      secretKey: ScalarBytes,
+      publicKey: PointBytes,
+      blinded: PointBytes,
+      rng?: RNG
+    ): OPRFBlindEval;
+
+    /**
+     * (Server-side) An optimized batch version of `blindEvaluate`. It evaluates multiple
+     * blinded elements and produces a single, constant-size proof for the entire batch,
+     * amortizing the cost of proof generation.
+     * @param secretKey The server's private key.
+     * @param publicKey The server's public key.
+     * @param blinded An array of blinded group elements from one or more clients.
+     * @param rng An optional cryptographically secure random number generator for the proof.
+     * @returns An array of evaluated elements and a single proof for the batch.
+     */
+    blindEvaluateBatch(
+      secretKey: ScalarBytes,
+      publicKey: PointBytes,
+      blinded: PointBytes[],
+      rng?: RNG
+    ): OPRFBlindEvalBatch;
+
+    /**
+     * (Client-side) The final step. The client verifies the server's proof, and if valid,
+     * unblinds the result to compute the final VOPRF output.
+     * @param input The original private input.
+     * @param blind The secret scalar from the `blind` step.
+     * @param evaluated The evaluated element from the server.
+     * @param blinded The blinded element sent to the server (needed for proof verification).
+     * @param publicKey The server's public key against which the proof is verified.
+     * @param proof The DLEQ proof from the server.
+     * @returns The final VOPRF output.
+     * @throws If the proof verification fails.
+     */
+    finalize(
+      input: Bytes,
+      blind: ScalarBytes,
+      evaluated: PointBytes,
+      blinded: PointBytes,
+      publicKey: PointBytes,
+      proof: Bytes
+    ): Bytes;
+
+    /**
+     * (Client-side) The batch-aware version of `finalize`. It verifies a single batch proof
+     * against a list of corresponding inputs and outputs.
+     * @param items An array of objects, each containing the parameters for a single finalization.
+     * @param publicKey The server's public key.
+     * @param proof The single DLEQ proof for the entire batch.
+     * @returns An array of final VOPRF outputs, one for each item in the input.
+     * @throws If the proof verification fails.
+     */
+    finalizeBatch(items: OPRFFinalizeItem[], publicKey: PointBytes, proof: Bytes): Bytes[];
+  };
+
+  /**
+   * A factory for the Partially Oblivious Pseudorandom Function (POPRF) mode (mode 0x02).
+   * This mode extends VOPRF to include a public `info` parameter, known to both client and
+   * server, which is cryptographically bound to the final output.
+   * This is useful for domain separation at the application level.
+   * @param info A public byte string to be mixed into the computation.
+   * @returns An object with the POPRF protocol functions.
+   */
+  readonly poprf: (info: Bytes) => {
+    /** (Server-side) Generates a key pair for the POPRF mode. */
+    generateKeyPair(): OPRFKeys;
+    /** (Server-side) Deterministically derives a key pair for the POPRF mode. */
+    deriveKeyPair(seed: Bytes, keyInfo: Bytes): OPRFKeys;
+
+    /**
+     * (Client-side) Blinds the client's private input and computes the "tweaked key".
+     * The tweaked key is a public value derived from the server's public key and the public `info`.
+     * @param input The client's private input.
+     * @param publicKey The server's public key.
+     * @param rng An optional cryptographically secure random number generator.
+     * @returns The `blind`, `blinded` element, and the `tweakedKey` which the client uses for verification.
+     */
+    blind(input: Bytes, publicKey: PointBytes, rng?: RNG): OPRFBlind & { tweakedKey: PointBytes };
+
+    /**
+     * (Server-side) Evaluates the blinded element using a key derived from its secret key and the public `info`.
+     * It generates a DLEQ proof against the tweaked key.
+     * @param secretKey The server's private key.
+     * @param blinded The blinded element from the client.
+     * @param rng An optional RNG for the proof.
+     * @returns The evaluated element and a proof of correct computation.
+     */
+    blindEvaluate(secretKey: ScalarBytes, blinded: PointBytes, rng?: RNG): OPRFBlindEval;
+
+    /**
+     * (Server-side) A batch-aware version of `blindEvaluate` for the POPRF mode.
+     * @param secretKey The server's private key.
+     * @param blinded An array of blinded elements.
+     * @param rng An optional RNG for the proof.
+     * @returns An array of evaluated elements and a single proof for the batch.
+     */
+    blindEvaluateBatch(secretKey: ScalarBytes, blinded: PointBytes[], rng: RNG): OPRFBlindEvalBatch;
+
+    /**
+     * (Client-side) A batch-aware version of `finalize` for the POPRF mode.
+     * It verifies the proof against the tweaked key.
+     * @param items An array containing the parameters for each finalization.
+     * @param proof The single DLEQ proof for the batch.
+     * @param tweakedKey The tweaked key corresponding to the proof (all items must share the same `info` and `publicKey`).
+     * @returns An array of final POPRF outputs.
+     * @throws If proof verification fails.
+     */
+    finalizeBatch(items: OPRFFinalizeItem[], proof: Bytes, tweakedKey: PointBytes): Bytes[];
+
+    /**
+     * (Client-side) Finalizes the POPRF protocol. It verifies the server's proof against the
+     * `tweakedKey` computed in the `blind` step. The final output is bound to the public `info`.
+     * @param input The original private input.
+     * @param blind The secret scalar.
+     * @param evaluated The evaluated element from the server.
+     * @param blinded The blinded element sent to the server.
+     * @param proof The DLEQ proof from the server.
+     * @param tweakedKey The public tweaked key computed by the client during the `blind` step.
+     * @returns The final POPRF output.
+     * @throws If proof verification fails.
+     */
+    finalize(
+      input: Bytes,
+      blind: ScalarBytes,
+      evaluated: PointBytes,
+      blinded: PointBytes,
+      proof: Bytes,
+      tweakedKey: PointBytes
+    ): Bytes;
+
+    /**
+     * A non-interactive evaluation function for an entity that knows all inputs.
+     * Computes the final POPRF output directly. Useful for testing or specific applications
+     * where the server needs to compute the output for a known input.
+     * @param secretKey The server's private key.
+     * @param input The client's private input.
+     * @returns The final POPRF output.
+     */
+    evaluate(secretKey: ScalarBytes, input: Bytes): Bytes;
+  };
+};
+
+// welcome to generic hell
+export function createORPF<P extends CurvePoint<any, P>>(opts: OPRFOpts<P>): OPRF {
+  validateObject(opts, {
+    name: 'string',
+    hash: 'function',
+    hashToScalar: 'function',
+    hashToGroup: 'function',
+  });
+  // TODO
+  // Point: 'point',
+  const { name, Point, hash } = opts;
+  const { Fn } = Point;
+
+  const hashToGroup = (msg: Uint8Array, ctx: Uint8Array) =>
+    opts.hashToGroup(msg, {
+      DST: concatBytes(asciiToBytes('HashToGroup-'), ctx),
+    }) as P;
+  const hashToScalarPrefixed = (msg: Uint8Array, ctx: Uint8Array) =>
+    opts.hashToScalar(msg, { DST: concatBytes(_DST_scalar, ctx) });
+  const randomScalar = (rng: RNG = randomBytes) => {
+    const t = mapHashToField(rng(getMinHashLength(Fn.ORDER)), Fn.ORDER, Fn.isLE);
+    // We cannot use Fn.fromBytes here, because field
+    // can have different number of bytes (like ed448)
+    return Fn.isLE ? bytesToNumberLE(t) : bytesToNumberBE(t);
+  };
+
+  const msm = (points: P[], scalars: bigint[]) => pippenger(Point, points, scalars);
+
+  const getCtx = (mode: number) =>
+    concatBytes(asciiToBytes('OPRFV1-'), new Uint8Array([mode]), asciiToBytes('-' + name));
+  const ctxOPRF = getCtx(0x00);
+  const ctxVOPRF = getCtx(0x01);
+  const ctxPOPRF = getCtx(0x02);
+
+  function encode(...args: (Uint8Array | number | string)[]) {
+    const res = [];
+    for (const a of args) {
+      if (typeof a === 'number') res.push(numberToBytesBE(a, 2));
+      else if (typeof a === 'string') res.push(asciiToBytes(a));
+      else {
+        abytes(a);
+        res.push(numberToBytesBE(a.length, 2), a);
+      }
+    }
+    // No wipe here, since will modify actual bytes
+    return concatBytes(...res);
+  }
+  const hashInput = (...bytes: Uint8Array[]) => hash(encode(...bytes, 'Finalize'));
+
+  function getTranscripts(B: P, C: P[], D: P[], ctx: Bytes) {
+    const Bm = B.toBytes();
+    const seed = hash(encode(Bm, concatBytes(asciiToBytes('Seed-'), ctx)));
+    const res: bigint[] = [];
+    for (let i = 0; i < C.length; i++) {
+      const Ci = C[i].toBytes();
+      const Di = D[i].toBytes();
+      const di = hashToScalarPrefixed(encode(seed, i, Ci, Di, 'Composite'), ctx);
+      res.push(di);
+    }
+    return res;
+  }
+
+  function computeComposites(B: P, C: P[], D: P[], ctx: Bytes) {
+    const T = getTranscripts(B, C, D, ctx);
+    const M = msm(C, T);
+    const Z = msm(D, T);
+    return { M, Z };
+  }
+
+  function computeCompositesFast(k: bigint, B: P, C: P[], D: P[], ctx: Bytes): { M: P; Z: P } {
+    const T = getTranscripts(B, C, D, ctx);
+    const M = msm(C, T);
+    const Z = M.multiply(k);
+    return { M, Z };
+  }
+
+  function challengeTranscript(B: P, M: P, Z: P, t2: P, t3: P, ctx: Bytes) {
+    const [Bm, a0, a1, a2, a3] = [B, M, Z, t2, t3].map((i) => i.toBytes());
+    return hashToScalarPrefixed(encode(Bm, a0, a1, a2, a3, 'Challenge'), ctx);
+  }
+
+  function generateProof(ctx: Bytes, k: bigint, B: P, C: P[], D: P[], rng: RNG) {
+    const { M, Z } = computeCompositesFast(k, B, C, D, ctx);
+    const r = randomScalar(rng);
+    const t2 = Point.BASE.multiply(r);
+    const t3 = M.multiply(r);
+    const c = challengeTranscript(B, M, Z, t2, t3, ctx);
+    const s = Fn.sub(r, Fn.mul(c, k)); // r - c*k
+    return concatBytes(...[c, s].map((i) => Fn.toBytes(i)));
+  }
+
+  function verifyProof(ctx: Bytes, B: P, C: P[], D: P[], proof: Bytes) {
+    abytes(proof, 2 * Fn.BYTES);
+    const { M, Z } = computeComposites(B, C, D, ctx);
+    const [c, s] = [proof.subarray(0, Fn.BYTES), proof.subarray(Fn.BYTES)].map((f) =>
+      Fn.fromBytes(f)
+    );
+    const t2 = Point.BASE.multiply(s).add(B.multiply(c)); // s*G + c*B
+    const t3 = M.multiply(s).add(Z.multiply(c)); // s*M + c*Z
+    const expectedC = challengeTranscript(B, M, Z, t2, t3, ctx);
+    if (!Fn.eql(c, expectedC)) throw new Error('proof verification failed');
+  }
+
+  function generateKeyPair() {
+    const skS = randomScalar();
+    const pkS = Point.BASE.multiply(skS);
+    return { secretKey: Fn.toBytes(skS), publicKey: pkS.toBytes() };
+  }
+
+  function deriveKeyPair(ctx: Bytes, seed: Bytes, info: Bytes) {
+    const dst = concatBytes(asciiToBytes('DeriveKeyPair'), ctx);
+    const msg = concatBytes(seed, encode(info), new Uint8Array([0]));
+    for (let counter = 0; counter <= 255; counter++) {
+      msg[msg.length - 1] = counter;
+      const skS = opts.hashToScalar(msg, { DST: dst });
+      if (Fn.is0(skS)) continue; // should not happen
+      return { secretKey: Fn.toBytes(skS), publicKey: Point.BASE.multiply(skS).toBytes() };
+    }
+    throw new Error('Cannot derive key');
+  }
+  function blind(ctx: Bytes, input: Uint8Array, rng: RNG = randomBytes) {
+    const blind = randomScalar(rng);
+    const inputPoint = hashToGroup(input, ctx);
+    if (inputPoint.equals(Point.ZERO)) throw new Error('Input point at infinity');
+    const blinded = inputPoint.multiply(blind);
+    return { blind: Fn.toBytes(blind), blinded: blinded.toBytes() };
+  }
+  function evaluate(ctx: Bytes, secretKey: ScalarBytes, input: Bytes) {
+    const skS = Fn.fromBytes(secretKey);
+    const inputPoint = hashToGroup(input, ctx);
+    if (inputPoint.equals(Point.ZERO)) throw new Error('Input point at infinity');
+    const unblinded = inputPoint.multiply(skS).toBytes();
+    return hashInput(input, unblinded);
+  }
+  const oprf = {
+    generateKeyPair,
+    deriveKeyPair: (seed: Bytes, keyInfo: Bytes) => deriveKeyPair(ctxOPRF, seed, keyInfo),
+    blind: (input: Bytes, rng: RNG = randomBytes) => blind(ctxOPRF, input, rng),
+    blindEvaluate(secretKey: ScalarBytes, blindedPoint: PointBytes) {
+      const skS = Fn.fromBytes(secretKey);
+      const elm = Point.fromBytes(blindedPoint);
+      return elm.multiply(skS).toBytes();
+    },
+    finalize(input: Bytes, blindBytes: ScalarBytes, evaluatedBytes: PointBytes) {
+      const blind = Fn.fromBytes(blindBytes);
+      const evalPoint = Point.fromBytes(evaluatedBytes);
+      const unblinded = evalPoint.multiply(Fn.inv(blind)).toBytes();
+      return hashInput(input, unblinded);
+    },
+    evaluate: (secretKey: ScalarBytes, input: Bytes) => evaluate(ctxOPRF, secretKey, input),
+  };
+
+  const voprf = {
+    generateKeyPair,
+    deriveKeyPair: (seed: Bytes, keyInfo: Bytes) => deriveKeyPair(ctxVOPRF, seed, keyInfo),
+    blind: (input: Bytes, rng: RNG = randomBytes) => blind(ctxVOPRF, input, rng),
+    blindEvaluateBatch(
+      secretKey: ScalarBytes,
+      publicKey: PointBytes,
+      blinded: PointBytes[],
+      rng: RNG = randomBytes
+    ) {
+      if (!Array.isArray(blinded)) throw new Error('expected array');
+      const skS = Fn.fromBytes(secretKey);
+      const pkS = Point.fromBytes(publicKey);
+      const blindedPoints = blinded.map(Point.fromBytes);
+      const evaluated = blindedPoints.map((i) => i.multiply(skS));
+      const proof = generateProof(ctxVOPRF, skS, pkS, blindedPoints, evaluated, rng);
+      return { evaluated: evaluated.map((i) => i.toBytes()), proof };
+    },
+    blindEvaluate(
+      secretKey: ScalarBytes,
+      publicKey: PointBytes,
+      blinded: PointBytes,
+      rng: RNG = randomBytes
+    ) {
+      const res = this.blindEvaluateBatch(secretKey, publicKey, [blinded], rng);
+      return { evaluated: res.evaluated[0], proof: res.proof };
+    },
+    finalizeBatch(items: OPRFFinalizeItem[], publicKey: PointBytes, proof: Bytes) {
+      if (!Array.isArray(items)) throw new Error('expected array');
+      const pkS = Point.fromBytes(publicKey);
+      const blindedPoints = items.map((i) => i.blinded).map(Point.fromBytes);
+      const evalPoints = items.map((i) => i.evaluated).map(Point.fromBytes);
+      verifyProof(ctxVOPRF, pkS, blindedPoints, evalPoints, proof);
+      return items.map((i) => oprf.finalize(i.input, i.blind, i.evaluated));
+    },
+    finalize(
+      input: Bytes,
+      blind: ScalarBytes,
+      evaluated: PointBytes,
+      blinded: PointBytes,
+      publicKey: PointBytes,
+      proof: Bytes
+    ) {
+      return this.finalizeBatch([{ input, blind, evaluated, blinded }], publicKey, proof)[0];
+    },
+    evaluate: (secretKey: ScalarBytes, input: Bytes) => evaluate(ctxVOPRF, secretKey, input),
+  };
+  // NOTE: info is domain separation
+  const poprf = (info: Bytes) => {
+    const m = hashToScalarPrefixed(encode('Info', info), ctxPOPRF);
+    const T = Point.BASE.multiply(m);
+    return {
+      generateKeyPair,
+      deriveKeyPair: (seed: Bytes, keyInfo: Bytes) => deriveKeyPair(ctxPOPRF, seed, keyInfo),
+      blind(input: Bytes, publicKey: PointBytes, rng: RNG = randomBytes) {
+        const pkS = Point.fromBytes(publicKey);
+        const tweakedKey = T.add(pkS);
+        if (tweakedKey.equals(Point.ZERO)) throw new Error('tweakedKey point at infinity');
+        const blind = randomScalar(rng);
+        const inputPoint = hashToGroup(input, ctxPOPRF);
+        if (inputPoint.equals(Point.ZERO)) throw new Error('Input point at infinity');
+        const blindedPoint = inputPoint.multiply(blind);
+        return {
+          blind: Fn.toBytes(blind),
+          blinded: blindedPoint.toBytes(),
+          tweakedKey: tweakedKey.toBytes(),
+        };
+      },
+      blindEvaluateBatch(secretKey: ScalarBytes, blinded: PointBytes[], rng: RNG = randomBytes) {
+        if (!Array.isArray(blinded)) throw new Error('expected array');
+        const skS = Fn.fromBytes(secretKey);
+        const t = Fn.add(skS, m);
+        // "Hence, this error can be a signal for the server to replace its private key". We throw inside,
+        // should be impossible.
+        const invT = Fn.inv(t);
+        const blindedPoints = blinded.map(Point.fromBytes);
+        const evalPoints = blindedPoints.map((i) => i.multiply(invT));
+        const tweakedKey = Point.BASE.multiply(t);
+        const proof = generateProof(ctxPOPRF, t, tweakedKey, evalPoints, blindedPoints, rng);
+        return { evaluated: evalPoints.map((i) => i.toBytes()), proof };
+      },
+      blindEvaluate(secretKey: ScalarBytes, blinded: PointBytes, rng: RNG = randomBytes) {
+        const res = this.blindEvaluateBatch(secretKey, [blinded], rng);
+        return { evaluated: res.evaluated[0], proof: res.proof };
+      },
+      finalizeBatch(items: OPRFFinalizeItem[], proof: Bytes, tweakedKey: PointBytes) {
+        if (!Array.isArray(items)) throw new Error('expected array');
+        const evalPoints = items.map((i) => i.evaluated).map(Point.fromBytes);
+        verifyProof(
+          ctxPOPRF,
+          Point.fromBytes(tweakedKey),
+          evalPoints,
+          items.map((i) => i.blinded).map(Point.fromBytes),
+          proof
+        );
+        return items.map((i, j) => {
+          const blind = Fn.fromBytes(i.blind);
+          const point = evalPoints[j].multiply(Fn.inv(blind)).toBytes();
+          return hashInput(i.input, info, point);
+        });
+      },
+      finalize(
+        input: Bytes,
+        blind: ScalarBytes,
+        evaluated: PointBytes,
+        blinded: PointBytes,
+        proof: Bytes,
+        tweakedKey: PointBytes
+      ) {
+        return this.finalizeBatch([{ input, blind, evaluated, blinded }], proof, tweakedKey)[0];
+      },
+      evaluate(secretKey: ScalarBytes, input: Bytes) {
+        const skS = Fn.fromBytes(secretKey);
+        const inputPoint = hashToGroup(input, ctxPOPRF);
+        if (inputPoint.equals(Point.ZERO)) throw new Error('Input point at infinity');
+        const t = Fn.add(skS, m);
+        const invT = Fn.inv(t);
+        const unblinded = inputPoint.multiply(invT).toBytes();
+        return hashInput(input, info, unblinded);
+      },
+    };
+  };
+  return Object.freeze({ name, oprf, voprf, poprf, __tests: { Fn } });
+}

src/webcrypto.ts

+/**
+ * Friendly wrapper over elliptic curves from built-in WebCrypto. Experimental: API may change.
+
+# WebCrypto issues
+
+## No way to get public keys
+
+- Export of raw secret key is prohibited by spec:
+  - https://w3c.github.io/webcrypto/#ecdsa-operations-export-key
+    -> "If format is "raw":" -> "If the [[type]] internal slot of key is not "public",
+       then throw an InvalidAccessError."
+- Import of raw secret keys is prohibited by spec:
+  - https://w3c.github.io/webcrypto/#ecdsa-operations-import-key
+    -> "If format is "raw":" -> "If usages contains a value which is not "verify"
+       then throw a SyntaxError."
+- SPKI (Simple public-key infrastructure) is public-key-only
+- PCKS8 is secret-key-only
+- No way to get public key from secret key, but we convert to jwk and then create it manually, since jwk secret key is priv+pub.
+- Noble supports generating keys for both sign, verify & getSharedSecret,
+  but JWK key includes usage, which forces us to patch it (non-JWK is ok)
+- We have import/export for 'raw', but it doesn't work in Firefox / Safari
+
+## Point encoding
+
+- Raw export of public points returns uncompressed points,
+  but this is implementation specific and not much we can do there.
+- `getSharedSecret` differs for p256, p384, p521:
+  Noble returns 33-byte output (y-parity + x coordinate),
+  while in WebCrypto returns 32-byte output (x coordinate)
+- `getSharedSecret` identical for X25519, X448
+
+## Availability
+
+Node.js additionally supports ed448.
+There seems no reasonable way to check for availability, other than actually calling methods.
+
+ * @module
+ */
+/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
+import { concatBytes, hexToBytes } from './utils.ts';
+
+function getWebcryptoSubtle(): any {
+  const subtle: any = globalThis?.crypto?.subtle;
+  if (typeof subtle === 'object' && subtle != null) return subtle;
+  throw new Error('crypto.subtle must be defined');
+}
+
+// Trying to do generics here creates hell on conversion and usage
+type JsonWebKey = {
+  crv?: string;
+  d?: string;
+  kty?: string;
+  x?: string;
+  y?: string;
+  [key: string]: unknown;
+};
+type Format = 'raw' | 'jwk' | 'spki' | 'pkcs8';
+type Key = JsonWebKey | Uint8Array;
+type CryptoKey = Awaited<ReturnType<typeof crypto.subtle.importKey>>;
+type KeyUsage = 'deriveBits' | 'deriveKey' | 'sign' | 'verify';
+type Algo = string | { name: string; namedCurve: string };
+type SigAlgo = string | { name: string; hash?: { name: string } };
+
+type KeyUtils = {
+  import(key: Key, format?: Format): Promise<CryptoKey>;
+  export(key: CryptoKey, format?: Format): Promise<Key>;
+  convert(key: Key, inFormat?: Format, outFormat?: Format): Promise<Key>;
+};
+export type WebCryptoGetPubOpts = {
+  secFormat?: Format;
+  pubFormat?: Format;
+};
+const _format = 'raw';
+
+function assertType(type: 'private' | 'public', key: any) {
+  if (key.type !== type) throw new Error(`invalid key type, expected ${type}`);
+}
+
+function createKeyUtils(algo: Algo, derive: boolean, keyLen: number, pcks8header: string) {
+  const secUsage: KeyUsage[] = derive ? ['deriveBits'] : ['sign'];
+  const pubUsage: KeyUsage[] = derive ? [] : ['verify'];
+  // Return Uint8Array instead of ArrayBuffer
+  const arrBufToU8 = (res: Key, format: Format) =>
+    format === 'jwk' ? res : new Uint8Array(res as ArrayBuffer);
+  const pub: KeyUtils = {
+    async import(key: Key, format: Format = _format): Promise<CryptoKey> {
+      const crypto = getWebcryptoSubtle();
+      const keyi: CryptoKey = await crypto.importKey(format, key, algo, true, pubUsage);
+      assertType('public', keyi);
+      return keyi;
+    },
+    async export(key: CryptoKey, format: Format = _format): Promise<Key> {
+      assertType('public', key);
+      const crypto = getWebcryptoSubtle();
+      const keyi = await crypto.exportKey(format, key);
+      return arrBufToU8(keyi, format);
+    },
+    async convert(key: Key, inFormat: Format = _format, outFormat: Format = _format): Promise<Key> {
+      return pub.export(await pub.import(key, inFormat), outFormat);
+    },
+  };
+  const priv: KeyUtils = {
+    async import(key: Key, format: Format = _format): Promise<CryptoKey> {
+      const crypto = getWebcryptoSubtle();
+      let keyi: CryptoKey;
+      if (format === 'raw') {
+        // Chrome, node, bun, deno: works
+        // Safari, Firefox: Data provided to an operation does not meet requirements
+        // This is the best one can do. JWK can't be used: it contains public key component inside.
+        keyi = await crypto.importKey(
+          'pkcs8',
+          concatBytes(hexToBytes(pcks8header), key as Uint8Array),
+          algo,
+          true,
+          secUsage
+        );
+      } else {
+        // Fix import of ECDSA keys into ECDH, other formats are ok
+        if (derive && format === 'jwk') key = { ...key, key_ops: secUsage };
+        keyi = await crypto.importKey(format, key, algo, true, secUsage);
+      }
+      assertType('private', keyi);
+      return keyi;
+    },
+    async export(key: CryptoKey, format: Format = _format): Promise<Key> {
+      const crypto = getWebcryptoSubtle();
+      assertType('private', key);
+      if (format === 'raw') {
+        // scure-base base64urlnopad could have been used, but we can't add more deps.
+        // pcks8 would be even more fragile
+        const jwk = await crypto.exportKey('jwk', key);
+        const base64 = jwk.d.replace(/-/g, '+').replace(/_/g, '/'); // base64url
+        const pad = base64.length % 4 ? '='.repeat(4 - (base64.length % 4)) : ''; // add padding
+        const binary = atob(base64 + pad);
+        // This is not ASCII, and not text: this is only semi-safe with atob output
+        const raw = Uint8Array.from(binary, (c) => c.charCodeAt(0));
+        // Pad key to key len because Bun strips leading zero for P-521 only
+        const res = new Uint8Array(keyLen);
+        res.set(raw, keyLen - raw.length);
+        return res as Key;
+      }
+      const keyi = await crypto.exportKey(format, key);
+      return arrBufToU8(keyi, format);
+    },
+    async convert(key: Key, inFormat: Format = _format, outFormat: Format = _format): Promise<Key> {
+      return priv.export(await priv.import(key, inFormat), outFormat);
+    },
+  };
+  // Key generation could be slow, so we cache result once.
+  let available: boolean | undefined;
+  return {
+    pub: pub as KeyUtils,
+    priv: priv as KeyUtils,
+    async isAvailable(): Promise<boolean> {
+      if (available !== undefined) return available;
+      try {
+        const crypto = getWebcryptoSubtle();
+        const key = await crypto.generateKey(algo, true, secUsage);
+        // Deno is broken and generates key for unsupported curves, but then fails on export
+        await priv.export(key.privateKey, 'jwk');
+        // Bun fails on derive for x25519, but not x448
+        if (derive) {
+          await crypto.deriveBits(
+            { name: typeof algo === 'string' ? algo : algo.name, public: key.publicKey },
+            key.privateKey,
+            8
+          );
+        }
+        return (available = true);
+      } catch (e) {
+        return (available = false);
+      }
+    },
+    // We support different input / output formats since there is no 'spki' secret key
+    async getPublicKey(secretKey: Key, opts: WebCryptoGetPubOpts = {}): Promise<Key> {
+      const fpriv = opts.secFormat ?? _format;
+      const fpub = opts.pubFormat ?? fpriv;
+      // Export to jwk, remove private scalar and then convert to format
+      const jwk = (
+        fpriv === 'jwk' ? { ...secretKey } : await priv.convert(secretKey, fpriv, 'jwk')
+      ) as JsonWebKey;
+      delete jwk.d;
+      jwk.key_ops = pubUsage;
+      if (fpub === 'jwk') return jwk;
+      return pub.convert(jwk, 'jwk', fpub);
+    },
+    utils: {
+      async randomSecretKey(format: Format = _format): Promise<Key> {
+        const crypto = getWebcryptoSubtle();
+        const keyPair = await crypto.generateKey(algo, true, secUsage);
+        return priv.export(keyPair.privateKey, format);
+      },
+      convertPublicKey: pub.convert as KeyUtils['convert'],
+      convertSecretKey: priv.convert as KeyUtils['convert'],
+    },
+  };
+}
+
+type WebCryptoOpts = { format?: Format };
+
+function createSigner(keys: ReturnType<typeof createKeyUtils>, algo: SigAlgo) {
+  return {
+    async sign(msgHash: Uint8Array, secretKey: Key, opts: WebCryptoOpts = {}): Promise<Uint8Array> {
+      const crypto = getWebcryptoSubtle();
+      const key = await keys.priv.import(secretKey, opts.format || _format);
+      const sig = await crypto.sign(algo, key, msgHash);
+      return new Uint8Array(sig);
+    },
+    async verify(
+      signature: Uint8Array,
+      msgHash: Uint8Array,
+      publicKey: Key,
+      opts: WebCryptoOpts = {}
+    ): Promise<boolean> {
+      const crypto = getWebcryptoSubtle();
+      const key = await keys.pub.import(publicKey, opts.format || _format);
+      return await crypto.verify(algo, key, signature, msgHash);
+    },
+  };
+}
+
+function createECDH(keys: ReturnType<typeof createKeyUtils>, algo: Algo, keyLen: number) {
+  return {
+    async getSharedSecret(
+      secretKeyA: Uint8Array,
+      publicKeyB: Uint8Array,
+      opts: WebCryptoOpts = {}
+    ): Promise<Uint8Array> {
+      // if (_isCompressed !== true) throw new Error('WebCrypto only supports compressed keys');
+      const crypto = getWebcryptoSubtle();
+      const secKey = await keys.priv.import(secretKeyA, opts.format || _format);
+      const pubKey = await keys.pub.import(publicKeyB, opts.format || _format);
+      const shared = await crypto.deriveBits(
+        { name: typeof algo === 'string' ? algo : algo.name, public: pubKey },
+        secKey,
+        8 * keyLen
+      );
+      return new Uint8Array(shared);
+    },
+  };
+}
+
+type WebCryptoBaseCurve = {
+  name: string;
+  isAvailable(): Promise<boolean>;
+  getPublicKey(secretKey: Key, opts?: WebCryptoGetPubOpts): Promise<Key>;
+  utils: {
+    randomSecretKey: (format?: Format) => Promise<Key>;
+    convertSecretKey: (key: Key, inFormat?: Format, outFormat?: Format) => Promise<Key>;
+    convertPublicKey: (key: Key, inFormat?: Format, outFormat?: Format) => Promise<Key>;
+  };
+};
+
+// Specific per-curve methods - no reason to export them; we can't "add" a new curve
+// export type WebCryptoSigner = ReturnType<typeof createSigner>;
+export type WebCryptoSigner = {
+  sign(msgHash: Uint8Array, privateKey: Key, opts?: WebCryptoOpts): Promise<Uint8Array>;
+  verify(
+    signature: Uint8Array,
+    msgHash: Uint8Array,
+    publicKey: Key,
+    opts?: WebCryptoOpts
+  ): Promise<boolean>;
+};
+export type WebCryptoECDH = {
+  getSharedSecret(priv: Uint8Array, pub: Uint8Array, opts?: WebCryptoOpts): Promise<Uint8Array>;
+};
+export type WebCryptoNIST = WebCryptoBaseCurve & WebCryptoSigner & WebCryptoECDH;
+export type WebCryptoEdDSA = WebCryptoBaseCurve & WebCryptoSigner;
+export type WebCryptoMontgomery = WebCryptoBaseCurve & WebCryptoECDH;
+
+function wrapNIST(
+  curve: 'P-256' | 'P-384' | 'P-521',
+  hash: string,
+  keyLen: number,
+  pcks8header: string
+): WebCryptoNIST {
+  const ECDH_ALGO = { name: 'ECDH', namedCurve: curve };
+  const keys = createKeyUtils({ name: 'ECDSA', namedCurve: curve }, false, keyLen, pcks8header);
+  const keysEcdh = createKeyUtils(ECDH_ALGO, true, keyLen, pcks8header);
+  return Object.freeze({
+    name: curve,
+    isAvailable: keys.isAvailable,
+    getPublicKey: keys.getPublicKey,
+    ...createSigner(keys, { name: 'ECDSA', hash: { name: hash } }),
+    ...createECDH(keysEcdh, ECDH_ALGO, keyLen),
+    utils: keys.utils,
+  });
+}
+
+function wrapEdDSA(
+  curve: 'Ed25519' | 'Ed448',
+  keyLen: number,
+  pcks8header: string
+): WebCryptoEdDSA {
+  const keys = createKeyUtils(curve, false, keyLen, pcks8header);
+  return Object.freeze({
+    name: curve,
+    isAvailable: keys.isAvailable,
+    getPublicKey: keys.getPublicKey,
+    ...createSigner(keys, { name: curve }),
+    utils: keys.utils,
+  });
+}
+
+function wrapMontgomery(
+  curve: 'X25519' | 'X448',
+  keyLen: number,
+  pcks8header: string
+): WebCryptoMontgomery {
+  const keys = createKeyUtils(curve, true, keyLen, pcks8header);
+  return Object.freeze({
+    name: curve,
+    isAvailable: keys.isAvailable,
+    getPublicKey: keys.getPublicKey,
+    ...createECDH(keys, curve, keyLen),
+    utils: keys.utils,
+  });
+}
+
+export const p256: WebCryptoNIST = /* @__PURE__ */ wrapNIST(
+  'P-256',
+  'SHA-256',
+  32,
+  '3041020100301306072a8648ce3d020106082a8648ce3d030107042730250201010420'
+);
+export const p384: WebCryptoNIST = /* @__PURE__ */ wrapNIST(
+  'P-384',
+  'SHA-384',
+  48,
+  '304e020100301006072a8648ce3d020106052b81040022043730350201010430'
+);
+export const p521: WebCryptoNIST = /* @__PURE__ */ wrapNIST(
+  'P-521',
+  'SHA-512',
+  66,
+  '3060020100301006072a8648ce3d020106052b81040023044930470201010442'
+);
+
+export const ed25519: WebCryptoEdDSA = /* @__PURE__ */ wrapEdDSA(
+  'Ed25519',
+  32,
+  '302e020100300506032b657004220420'
+);
+export const ed448: WebCryptoEdDSA = /* @__PURE__ */ wrapEdDSA(
+  'Ed448',
+  57,
+  '3047020100300506032b6571043b0439'
+);
+
+export const x25519: WebCryptoMontgomery = /* @__PURE__ */ wrapMontgomery(
+  'X25519',
+  32,
+  '302e020100300506032b656e04220420'
+);
+export const x448: WebCryptoMontgomery = /* @__PURE__ */ wrapMontgomery(
+  'X448',
+  56,
+  '3046020100300506032b656f043a0438'
+);
+
+export const supportsWc = (a: WebCryptoBaseCurve): Promise<boolean> => a.isAvailable();

webcrypto.d.ts

+type JsonWebKey = {
+    crv?: string;
+    d?: string;
+    kty?: string;
+    x?: string;
+    y?: string;
+    [key: string]: unknown;
+};
+type Format = 'raw' | 'jwk' | 'spki' | 'pkcs8';
+type Key = JsonWebKey | Uint8Array;
+export type WebCryptoGetPubOpts = {
+    secFormat?: Format;
+    pubFormat?: Format;
+};
+type WebCryptoOpts = {
+    format?: Format;
+};
+type WebCryptoBaseCurve = {
+    name: string;
+    isAvailable(): Promise<boolean>;
+    getPublicKey(secretKey: Key, opts?: WebCryptoGetPubOpts): Promise<Key>;
+    utils: {
+        randomSecretKey: (format?: Format) => Promise<Key>;
+        convertSecretKey: (key: Key, inFormat?: Format, outFormat?: Format) => Promise<Key>;
+        convertPublicKey: (key: Key, inFormat?: Format, outFormat?: Format) => Promise<Key>;
+    };
+};
+export type WebCryptoSigner = {
+    sign(msgHash: Uint8Array, privateKey: Key, opts?: WebCryptoOpts): Promise<Uint8Array>;
+    verify(signature: Uint8Array, msgHash: Uint8Array, publicKey: Key, opts?: WebCryptoOpts): Promise<boolean>;
+};
+export type WebCryptoECDH = {
+    getSharedSecret(priv: Uint8Array, pub: Uint8Array, opts?: WebCryptoOpts): Promise<Uint8Array>;
+};
+export type WebCryptoNIST = WebCryptoBaseCurve & WebCryptoSigner & WebCryptoECDH;
+export type WebCryptoEdDSA = WebCryptoBaseCurve & WebCryptoSigner;
+export type WebCryptoMontgomery = WebCryptoBaseCurve & WebCryptoECDH;
+export declare const p256: WebCryptoNIST;
+export declare const p384: WebCryptoNIST;
+export declare const p521: WebCryptoNIST;
+export declare const ed25519: WebCryptoEdDSA;
+export declare const ed448: WebCryptoEdDSA;
+export declare const x25519: WebCryptoMontgomery;
+export declare const x448: WebCryptoMontgomery;
+export declare const supportsWc: (a: WebCryptoBaseCurve) => Promise<boolean>;
+export {};
+//# sourceMappingURL=webcrypto.d.ts.map

webcrypto.d.ts.map

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webcrypto.js

+/**
+ * Friendly wrapper over elliptic curves from built-in WebCrypto. Experimental: API may change.
+
+# WebCrypto issues
+
+## No way to get public keys
+
+- Export of raw secret key is prohibited by spec:
+  - https://w3c.github.io/webcrypto/#ecdsa-operations-export-key
+    -> "If format is "raw":" -> "If the [[type]] internal slot of key is not "public",
+       then throw an InvalidAccessError."
+- Import of raw secret keys is prohibited by spec:
+  - https://w3c.github.io/webcrypto/#ecdsa-operations-import-key
+    -> "If format is "raw":" -> "If usages contains a value which is not "verify"
+       then throw a SyntaxError."
+- SPKI (Simple public-key infrastructure) is public-key-only
+- PCKS8 is secret-key-only
+- No way to get public key from secret key, but we convert to jwk and then create it manually, since jwk secret key is priv+pub.
+- Noble supports generating keys for both sign, verify & getSharedSecret,
+  but JWK key includes usage, which forces us to patch it (non-JWK is ok)
+- We have import/export for 'raw', but it doesn't work in Firefox / Safari
+
+## Point encoding
+
+- Raw export of public points returns uncompressed points,
+  but this is implementation specific and not much we can do there.
+- `getSharedSecret` differs for p256, p384, p521:
+  Noble returns 33-byte output (y-parity + x coordinate),
+  while in WebCrypto returns 32-byte output (x coordinate)
+- `getSharedSecret` identical for X25519, X448
+
+## Availability
+
+Node.js additionally supports ed448.
+There seems no reasonable way to check for availability, other than actually calling methods.
+
+ * @module
+ */
+/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
+import { concatBytes, hexToBytes } from "./utils.js";
+function getWebcryptoSubtle() {
+    const subtle = globalThis?.crypto?.subtle;
+    if (typeof subtle === 'object' && subtle != null)
+        return subtle;
+    throw new Error('crypto.subtle must be defined');
+}
+const _format = 'raw';
+function assertType(type, key) {
+    if (key.type !== type)
+        throw new Error(`invalid key type, expected ${type}`);
+}
+function createKeyUtils(algo, derive, keyLen, pcks8header) {
+    const secUsage = derive ? ['deriveBits'] : ['sign'];
+    const pubUsage = derive ? [] : ['verify'];
+    // Return Uint8Array instead of ArrayBuffer
+    const arrBufToU8 = (res, format) => format === 'jwk' ? res : new Uint8Array(res);
+    const pub = {
+        async import(key, format = _format) {
+            const crypto = getWebcryptoSubtle();
+            const keyi = await crypto.importKey(format, key, algo, true, pubUsage);
+            assertType('public', keyi);
+            return keyi;
+        },
+        async export(key, format = _format) {
+            assertType('public', key);
+            const crypto = getWebcryptoSubtle();
+            const keyi = await crypto.exportKey(format, key);
+            return arrBufToU8(keyi, format);
+        },
+        async convert(key, inFormat = _format, outFormat = _format) {
+            return pub.export(await pub.import(key, inFormat), outFormat);
+        },
+    };
+    const priv = {
+        async import(key, format = _format) {
+            const crypto = getWebcryptoSubtle();
+            let keyi;
+            if (format === 'raw') {
+                // Chrome, node, bun, deno: works
+                // Safari, Firefox: Data provided to an operation does not meet requirements
+                // This is the best one can do. JWK can't be used: it contains public key component inside.
+                keyi = await crypto.importKey('pkcs8', concatBytes(hexToBytes(pcks8header), key), algo, true, secUsage);
+            }
+            else {
+                // Fix import of ECDSA keys into ECDH, other formats are ok
+                if (derive && format === 'jwk')
+                    key = { ...key, key_ops: secUsage };
+                keyi = await crypto.importKey(format, key, algo, true, secUsage);
+            }
+            assertType('private', keyi);
+            return keyi;
+        },
+        async export(key, format = _format) {
+            const crypto = getWebcryptoSubtle();
+            assertType('private', key);
+            if (format === 'raw') {
+                // scure-base base64urlnopad could have been used, but we can't add more deps.
+                // pcks8 would be even more fragile
+                const jwk = await crypto.exportKey('jwk', key);
+                const base64 = jwk.d.replace(/-/g, '+').replace(/_/g, '/'); // base64url
+                const pad = base64.length % 4 ? '='.repeat(4 - (base64.length % 4)) : ''; // add padding
+                const binary = atob(base64 + pad);
+                // This is not ASCII, and not text: this is only semi-safe with atob output
+                const raw = Uint8Array.from(binary, (c) => c.charCodeAt(0));
+                // Pad key to key len because Bun strips leading zero for P-521 only
+                const res = new Uint8Array(keyLen);
+                res.set(raw, keyLen - raw.length);
+                return res;
+            }
+            const keyi = await crypto.exportKey(format, key);
+            return arrBufToU8(keyi, format);
+        },
+        async convert(key, inFormat = _format, outFormat = _format) {
+            return priv.export(await priv.import(key, inFormat), outFormat);
+        },
+    };
+    // Key generation could be slow, so we cache result once.
+    let available;
+    return {
+        pub: pub,
+        priv: priv,
+        async isAvailable() {
+            if (available !== undefined)
+                return available;
+            try {
+                const crypto = getWebcryptoSubtle();
+                const key = await crypto.generateKey(algo, true, secUsage);
+                // Deno is broken and generates key for unsupported curves, but then fails on export
+                await priv.export(key.privateKey, 'jwk');
+                // Bun fails on derive for x25519, but not x448
+                if (derive) {
+                    await crypto.deriveBits({ name: typeof algo === 'string' ? algo : algo.name, public: key.publicKey }, key.privateKey, 8);
+                }
+                return (available = true);
+            }
+            catch (e) {
+                return (available = false);
+            }
+        },
+        // We support different input / output formats since there is no 'spki' secret key
+        async getPublicKey(secretKey, opts = {}) {
+            const fpriv = opts.secFormat ?? _format;
+            const fpub = opts.pubFormat ?? fpriv;
+            // Export to jwk, remove private scalar and then convert to format
+            const jwk = (fpriv === 'jwk' ? { ...secretKey } : await priv.convert(secretKey, fpriv, 'jwk'));
+            delete jwk.d;
+            jwk.key_ops = pubUsage;
+            if (fpub === 'jwk')
+                return jwk;
+            return pub.convert(jwk, 'jwk', fpub);
+        },
+        utils: {
+            async randomSecretKey(format = _format) {
+                const crypto = getWebcryptoSubtle();
+                const keyPair = await crypto.generateKey(algo, true, secUsage);
+                return priv.export(keyPair.privateKey, format);
+            },
+            convertPublicKey: pub.convert,
+            convertSecretKey: priv.convert,
+        },
+    };
+}
+function createSigner(keys, algo) {
+    return {
+        async sign(msgHash, secretKey, opts = {}) {
+            const crypto = getWebcryptoSubtle();
+            const key = await keys.priv.import(secretKey, opts.format || _format);
+            const sig = await crypto.sign(algo, key, msgHash);
+            return new Uint8Array(sig);
+        },
+        async verify(signature, msgHash, publicKey, opts = {}) {
+            const crypto = getWebcryptoSubtle();
+            const key = await keys.pub.import(publicKey, opts.format || _format);
+            return await crypto.verify(algo, key, signature, msgHash);
+        },
+    };
+}
+function createECDH(keys, algo, keyLen) {
+    return {
+        async getSharedSecret(secretKeyA, publicKeyB, opts = {}) {
+            // if (_isCompressed !== true) throw new Error('WebCrypto only supports compressed keys');
+            const crypto = getWebcryptoSubtle();
+            const secKey = await keys.priv.import(secretKeyA, opts.format || _format);
+            const pubKey = await keys.pub.import(publicKeyB, opts.format || _format);
+            const shared = await crypto.deriveBits({ name: typeof algo === 'string' ? algo : algo.name, public: pubKey }, secKey, 8 * keyLen);
+            return new Uint8Array(shared);
+        },
+    };
+}
+function wrapNIST(curve, hash, keyLen, pcks8header) {
+    const ECDH_ALGO = { name: 'ECDH', namedCurve: curve };
+    const keys = createKeyUtils({ name: 'ECDSA', namedCurve: curve }, false, keyLen, pcks8header);
+    const keysEcdh = createKeyUtils(ECDH_ALGO, true, keyLen, pcks8header);
+    return Object.freeze({
+        name: curve,
+        isAvailable: keys.isAvailable,
+        getPublicKey: keys.getPublicKey,
+        ...createSigner(keys, { name: 'ECDSA', hash: { name: hash } }),
+        ...createECDH(keysEcdh, ECDH_ALGO, keyLen),
+        utils: keys.utils,
+    });
+}
+function wrapEdDSA(curve, keyLen, pcks8header) {
+    const keys = createKeyUtils(curve, false, keyLen, pcks8header);
+    return Object.freeze({
+        name: curve,
+        isAvailable: keys.isAvailable,
+        getPublicKey: keys.getPublicKey,
+        ...createSigner(keys, { name: curve }),
+        utils: keys.utils,
+    });
+}
+function wrapMontgomery(curve, keyLen, pcks8header) {
+    const keys = createKeyUtils(curve, true, keyLen, pcks8header);
+    return Object.freeze({
+        name: curve,
+        isAvailable: keys.isAvailable,
+        getPublicKey: keys.getPublicKey,
+        ...createECDH(keys, curve, keyLen),
+        utils: keys.utils,
+    });
+}
+export const p256 = /* @__PURE__ */ wrapNIST('P-256', 'SHA-256', 32, '3041020100301306072a8648ce3d020106082a8648ce3d030107042730250201010420');
+export const p384 = /* @__PURE__ */ wrapNIST('P-384', 'SHA-384', 48, '304e020100301006072a8648ce3d020106052b81040022043730350201010430');
+export const p521 = /* @__PURE__ */ wrapNIST('P-521', 'SHA-512', 66, '3060020100301006072a8648ce3d020106052b81040023044930470201010442');
+export const ed25519 = /* @__PURE__ */ wrapEdDSA('Ed25519', 32, '302e020100300506032b657004220420');
+export const ed448 = /* @__PURE__ */ wrapEdDSA('Ed448', 57, '3047020100300506032b6571043b0439');
+export const x25519 = /* @__PURE__ */ wrapMontgomery('X25519', 32, '302e020100300506032b656e04220420');
+export const x448 = /* @__PURE__ */ wrapMontgomery('X448', 56, '3046020100300506032b656f043a0438');
+export const supportsWc = (a) => a.isAvailable();
+//# sourceMappingURL=webcrypto.js.map

webcrypto.js.map

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abstract/bls.d.ts

@@ -1,23 +0,6 @@
-/**
- * BLS != BLS.
- * The file implements BLS (Boneh-Lynn-Shacham) signatures.
- * Used in both BLS (Barreto-Lynn-Scott) and BN (Barreto-Naehrig)
- * families of pairing-friendly curves.
- * Consists of two curves: G1 and G2:
- * - G1 is a subgroup of (x, y) E(Fq) over y² = x³ + 4.
- * - G2 is a subgroup of ((x₁, x₂+i), (y₁, y₂+i)) E(Fq²) over y² = x³ + 4(1 + i) where i is √-1
- * - Gt, created by bilinear (ate) pairing e(G1, G2), consists of p-th roots of unity in
- *   Fq^k where k is embedding degree. Only degree 12 is currently supported, 24 is not.
- * Pairing is used to aggregate and verify signatures.
- * There are two modes of operation:
- * - Long signatures:  X-byte keys + 2X-byte sigs (G1 keys + G2 sigs).
- * - Short signatures: 2X-byte keys + X-byte sigs (G2 keys + G1 sigs).
- * @module
- **/
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { type CHash, type Hex, type PrivKey } from '../utils.ts';
-import { type H2CHasher, type H2CHashOpts, type H2COpts, type htfBasicOpts, type MapToCurve } from './hash-to-curve.ts';
+import { type CurveLengths } from './curve.ts';
+import { type H2CHasher, type H2CHashOpts, type H2COpts, type MapToCurve } from './hash-to-curve.ts';
 import { type IField } from './modular.ts';
 import type { Fp12, Fp12Bls, Fp2, Fp2Bls, Fp6Bls } from './tower.ts';
-import { type CurvePointsRes, type CurvePointsType, type WeierstrassPoint, type WeierstrassPointCons } from './weierstrass.ts';
+import { type WeierstrassPoint, type WeierstrassPointCons } from './weierstrass.ts';
 type Fp = bigint;
@@ -27,15 +10,11 @@ export type TwistType = 'multiplicative' | 'divisive';
     fromBytes(bytes: Uint8Array): WeierstrassPoint<Fp>;
-    fromHex(hex: Hex): WeierstrassPoint<Fp>;
+    fromHex(hex: string): WeierstrassPoint<Fp>;
     toBytes(point: WeierstrassPoint<Fp>): Uint8Array;
     toHex(point: WeierstrassPoint<Fp>): string;
-    /** @deprecated use `toBytes` */
-    toRawBytes(point: WeierstrassPoint<Fp>): Uint8Array;
 };
-export type SignatureCoder<Fp> = {
+export type LongSignatureCoder<Fp> = {
     fromBytes(bytes: Uint8Array): WeierstrassPoint<Fp>;
-    fromHex(hex: Hex): WeierstrassPoint<Fp>;
+    fromHex(hex: string): WeierstrassPoint<Fp>;
     toBytes(point: WeierstrassPoint<Fp>): Uint8Array;
     toHex(point: WeierstrassPoint<Fp>): string;
-    /** @deprecated use `toBytes` */
-    toRawBytes(point: WeierstrassPoint<Fp>): Uint8Array;
 };
@@ -56,2 +35,4 @@ export type BlsFields = {
 export type BlsPairing = {
+    lengths: CurveLengths;
+    Fr: IField<bigint>;
     Fp12: Fp12Bls;
@@ -65,2 +46,3 @@ calcPairingPrecomputes: (p: WeierstrassPoint<Fp2>) => Precompute;
     }[], withFinalExponent?: boolean) => Fp12;
+    randomSecretKey: (seed?: Uint8Array) => Uint8Array;
 };
@@ -71,26 +53,11 @@ export type BlsPairingParams = {
     twistType: TwistType;
+    randomBytes?: (len?: number) => Uint8Array;
     postPrecompute?: PostPrecomputeFn;
 };
-export type CurveType = {
-    G1: CurvePointsType<Fp> & {
-        ShortSignature: SignatureCoder<Fp>;
-        mapToCurve: MapToCurve<Fp>;
-        htfDefaults: H2COpts;
-    };
-    G2: CurvePointsType<Fp2> & {
-        Signature: SignatureCoder<Fp2>;
-        mapToCurve: MapToCurve<Fp2>;
-        htfDefaults: H2COpts;
-    };
-    fields: BlsFields;
-    params: {
-        ateLoopSize: BlsPairingParams['ateLoopSize'];
-        xNegative: BlsPairingParams['xNegative'];
-        r: bigint;
-        twistType: BlsPairingParams['twistType'];
-    };
-    htfDefaults: H2COpts;
-    hash: CHash;
-    randomBytes?: (bytesLength?: number) => Uint8Array;
-    postPrecompute?: PostPrecomputeFn;
+export type BlsHasherParams = {
+    mapToG1?: MapToCurve<Fp>;
+    mapToG2?: MapToCurve<Fp2>;
+    hasherOpts: H2COpts;
+    hasherOptsG1: H2COpts;
+    hasherOptsG2: H2COpts;
 };
@@ -105,4 +72,3 @@ type PrecomputeSingle = [Fp2, Fp2, Fp2][];
 export interface BLSCurvePair {
-    longSignatures: BLSSigs<bigint, Fp2>;
-    shortSignatures: BLSSigs<Fp2, bigint>;
+    lengths: CurveLengths;
     millerLoopBatch: BlsPairing['millerLoopBatch'];
@@ -112,7 +78,7 @@ pairing: BlsPairing['pairing'];
     G1: {
-        Point: WeierstrassPointCons<bigint>;
-    } & H2CHasher<Fp>;
+        Point: WeierstrassPointCons<Fp>;
+    };
     G2: {
         Point: WeierstrassPointCons<Fp2>;
-    } & H2CHasher<Fp2>;
+    };
     fields: {
@@ -126,72 +92,44 @@ Fp: IField<Fp>;
     utils: {
-        randomSecretKey: () => Uint8Array;
-        /** @deprecated use randomSecretKey */
-        randomPrivateKey: () => Uint8Array;
+        randomSecretKey: (seed?: Uint8Array) => Uint8Array;
         calcPairingPrecomputes: BlsPairing['calcPairingPrecomputes'];
     };
-}
-export type CurveFn = BLSCurvePair & {
-    /** @deprecated use `longSignatures.getPublicKey` */
-    getPublicKey: (secretKey: PrivKey) => Uint8Array;
-    /** @deprecated use `shortSignatures.getPublicKey` */
-    getPublicKeyForShortSignatures: (secretKey: PrivKey) => Uint8Array;
-    /** @deprecated use `longSignatures.sign` */
-    sign: {
-        (message: Hex, secretKey: PrivKey, htfOpts?: htfBasicOpts): Uint8Array;
-        (message: WeierstrassPoint<Fp2>, secretKey: PrivKey, htfOpts?: htfBasicOpts): WeierstrassPoint<Fp2>;
-    };
-    /** @deprecated use `shortSignatures.sign` */
-    signShortSignature: {
-        (message: Hex, secretKey: PrivKey, htfOpts?: htfBasicOpts): Uint8Array;
-        (message: WeierstrassPoint<Fp>, secretKey: PrivKey, htfOpts?: htfBasicOpts): WeierstrassPoint<Fp>;
-    };
-    /** @deprecated use `longSignatures.verify` */
-    verify: (signature: Hex | WeierstrassPoint<Fp2>, message: Hex | WeierstrassPoint<Fp2>, publicKey: Hex | WeierstrassPoint<Fp>, htfOpts?: htfBasicOpts) => boolean;
-    /** @deprecated use `shortSignatures.verify` */
-    verifyShortSignature: (signature: Hex | WeierstrassPoint<Fp>, message: Hex | WeierstrassPoint<Fp>, publicKey: Hex | WeierstrassPoint<Fp2>, htfOpts?: htfBasicOpts) => boolean;
-    verifyBatch: (signature: Hex | WeierstrassPoint<Fp2>, messages: (Hex | WeierstrassPoint<Fp2>)[], publicKeys: (Hex | WeierstrassPoint<Fp>)[], htfOpts?: htfBasicOpts) => boolean;
-    /** @deprecated use `longSignatures.aggregatePublicKeys` */
-    aggregatePublicKeys: {
-        (publicKeys: Hex[]): Uint8Array;
-        (publicKeys: WeierstrassPoint<Fp>[]): WeierstrassPoint<Fp>;
-    };
-    /** @deprecated use `longSignatures.aggregateSignatures` */
-    aggregateSignatures: {
-        (signatures: Hex[]): Uint8Array;
-        (signatures: WeierstrassPoint<Fp2>[]): WeierstrassPoint<Fp2>;
-    };
-    /** @deprecated use `shortSignatures.aggregateSignatures` */
-    aggregateShortSignatures: {
-        (signatures: Hex[]): Uint8Array;
-        (signatures: WeierstrassPoint<Fp>[]): WeierstrassPoint<Fp>;
-    };
-    G1: CurvePointsRes<Fp> & H2CHasher<Fp>;
-    G2: CurvePointsRes<Fp2> & H2CHasher<Fp2>;
-    /** @deprecated use `longSignatures.Signature` */
-    Signature: SignatureCoder<Fp2>;
-    /** @deprecated use `shortSignatures.Signature` */
-    ShortSignature: ShortSignatureCoder<Fp>;
     params: {
         ateLoopSize: bigint;
-        r: bigint;
         twistType: TwistType;
-        /** @deprecated */
-        G1b: bigint;
-        /** @deprecated */
-        G2b: Fp2;
     };
-};
-type BLSInput = Hex | Uint8Array;
+}
+export interface BlsCurvePairWithHashers extends BLSCurvePair {
+    G1: H2CHasher<WeierstrassPointCons<Fp>>;
+    G2: H2CHasher<WeierstrassPointCons<Fp2>>;
+}
+export interface BlsCurvePairWithSignatures extends BlsCurvePairWithHashers {
+    longSignatures: BLSSigs<bigint, Fp2>;
+    shortSignatures: BLSSigs<Fp2, bigint>;
+}
+type BLSInput = Uint8Array;
 export interface BLSSigs<P, S> {
-    getPublicKey(secretKey: PrivKey): WeierstrassPoint<P>;
-    sign(hashedMessage: WeierstrassPoint<S>, secretKey: PrivKey): WeierstrassPoint<S>;
+    lengths: CurveLengths;
+    keygen(seed?: Uint8Array): {
+        secretKey: Uint8Array;
+        publicKey: WeierstrassPoint<P>;
+    };
+    getPublicKey(secretKey: Uint8Array): WeierstrassPoint<P>;
+    sign(hashedMessage: WeierstrassPoint<S>, secretKey: Uint8Array): WeierstrassPoint<S>;
     verify(signature: WeierstrassPoint<S> | BLSInput, message: WeierstrassPoint<S>, publicKey: WeierstrassPoint<P> | BLSInput): boolean;
-    verifyBatch: (signature: WeierstrassPoint<S> | BLSInput, messages: WeierstrassPoint<S>[], publicKeys: (WeierstrassPoint<P> | BLSInput)[]) => boolean;
+    verifyBatch: (signature: WeierstrassPoint<S> | BLSInput, items: {
+        message: WeierstrassPoint<S>;
+        publicKey: WeierstrassPoint<P> | BLSInput;
+    }[]) => boolean;
     aggregatePublicKeys(publicKeys: (WeierstrassPoint<P> | BLSInput)[]): WeierstrassPoint<P>;
     aggregateSignatures(signatures: (WeierstrassPoint<S> | BLSInput)[]): WeierstrassPoint<S>;
     hash(message: Uint8Array, DST?: string | Uint8Array, hashOpts?: H2CHashOpts): WeierstrassPoint<S>;
-    Signature: SignatureCoder<S>;
+    Signature: LongSignatureCoder<S>;
 }
-export declare function bls(CURVE: CurveType): CurveFn;
+type BlsSignatureCoders = Partial<{
+    LongSignature: LongSignatureCoder<Fp2>;
+    ShortSignature: ShortSignatureCoder<Fp>;
+}>;
+export declare function blsBasic(fields: BlsFields, G1_Point: WeierstrassPointCons<Fp>, G2_Point: WeierstrassPointCons<Fp2>, params: BlsPairingParams): BLSCurvePair;
+export declare function bls(fields: BlsFields, G1_Point: WeierstrassPointCons<Fp>, G2_Point: WeierstrassPointCons<Fp2>, params: BlsPairingParams, hasherParams: BlsHasherParams, signatureCoders: BlsSignatureCoders): BlsCurvePairWithSignatures;
 export {};
 //# sourceMappingURL=bls.d.ts.map

abstract/bls.d.ts.map

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+{"version":3,"file":"bls.d.ts","sourceRoot":"","sources":["../src/abstract/bls.ts"],"names":[],"mappings":"AAkBA,OAAO,EAAc,KAAK,YAAY,EAAE,MAAM,YAAY,CAAC;AAC3D,OAAO,EAEL,KAAK,SAAS,EACd,KAAK,WAAW,EAEhB,KAAK,OAAO,EACZ,KAAK,UAAU,EAChB,MAAM,oBAAoB,CAAC;AAC5B,OAAO,EAAoC,KAAK,MAAM,EAAE,MAAM,cAAc,CAAC;AAC7E,OAAO,KAAK,EAAE,IAAI,EAAE,OAAO,EAAE,GAAG,EAAE,MAAM,EAAE,MAAM,EAAE,MAAM,YAAY,CAAC;AACrE,OAAO,EAAE,KAAK,gBAAgB,EAAE,KAAK,oBAAoB,EAAE,MAAM,kBAAkB,CAAC;AAEpF,KAAK,EAAE,GAAG,MAAM,CAAC;AAKjB,MAAM,MAAM,SAAS,GAAG,gBAAgB,GAAG,UAAU,CAAC;AAEtD,MAAM,MAAM,mBAAmB,CAAC,EAAE,IAAI;IACpC,SAAS,CAAC,KAAK,EAAE,UAAU,GAAG,gBAAgB,CAAC,EAAE,CAAC,CAAC;IACnD,OAAO,CAAC,GAAG,EAAE,MAAM,GAAG,gBAAgB,CAAC,EAAE,CAAC,CAAC;IAC3C,OAAO,CAAC,KAAK,EAAE,gBAAgB,CAAC,EAAE,CAAC,GAAG,UAAU,CAAC;IACjD,KAAK,CAAC,KAAK,EAAE,gBAAgB,CAAC,EAAE,CAAC,GAAG,MAAM,CAAC;CAC5C,CAAC;AAEF,MAAM,MAAM,kBAAkB,CAAC,EAAE,IAAI;IACnC,SAAS,CAAC,KAAK,EAAE,UAAU,GAAG,gBAAgB,CAAC,EAAE,CAAC,CAAC;IACnD,OAAO,CAAC,GAAG,EAAE,MAAM,GAAG,gBAAgB,CAAC,EAAE,CAAC,CAAC;IAC3C,OAAO,CAAC,KAAK,EAAE,gBAAgB,CAAC,EAAE,CAAC,GAAG,UAAU,CAAC;IACjD,KAAK,CAAC,KAAK,EAAE,gBAAgB,CAAC,EAAE,CAAC,GAAG,MAAM,CAAC;CAC5C,CAAC;AAEF,MAAM,MAAM,SAAS,GAAG;IACtB,EAAE,EAAE,MAAM,CAAC,EAAE,CAAC,CAAC;IACf,EAAE,EAAE,MAAM,CAAC,MAAM,CAAC,CAAC;IACnB,GAAG,EAAE,MAAM,CAAC;IACZ,GAAG,EAAE,MAAM,CAAC;IACZ,IAAI,EAAE,OAAO,CAAC;CACf,CAAC;AAEF,MAAM,MAAM,wBAAwB,GAAG,CACrC,EAAE,EAAE,GAAG,EACP,EAAE,EAAE,GAAG,EACP,EAAE,EAAE,GAAG,EACP,EAAE,EAAE,GAAG,EACP,EAAE,EAAE,GAAG,KACJ;IAAE,EAAE,EAAE,GAAG,CAAC;IAAC,EAAE,EAAE,GAAG,CAAC;IAAC,EAAE,EAAE,GAAG,CAAA;CAAE,CAAC;AACnC,MAAM,MAAM,gBAAgB,GAAG,CAC7B,EAAE,EAAE,GAAG,EACP,EAAE,EAAE,GAAG,EACP,EAAE,EAAE,GAAG,EACP,EAAE,EAAE,GAAG,EACP,EAAE,EAAE,GAAG,EACP,QAAQ,EAAE,wBAAwB,KAC/B,IAAI,CAAC;AACV,MAAM,MAAM,UAAU,GAAG;IACvB,OAAO,EAAE,YAAY,CAAC;IACtB,EAAE,EAAE,MAAM,CAAC,MAAM,CAAC,CAAC;IACnB,IAAI,EAAE,OAAO,CAAC;IACd,sBAAsB,EAAE,CAAC,CAAC,EAAE,gBAAgB,CAAC,GAAG,CAAC,KAAK,UAAU,CAAC;IACjE,eAAe,EAAE,CAAC,KAAK,EAAE,CAAC,UAAU,EAAE,EAAE,EAAE,EAAE,CAAC,EAAE,KAAK,IAAI,CAAC;IACzD,OAAO,EAAE,CAAC,CAAC,EAAE,gBAAgB,CAAC,EAAE,CAAC,EAAE,CAAC,EAAE,gBAAgB,CAAC,GAAG,CAAC,EAAE,iBAAiB,CAAC,EAAE,OAAO,KAAK,IAAI,CAAC;IAClG,YAAY,EAAE,CACZ,KAAK,EAAE;QAAE,EAAE,EAAE,gBAAgB,CAAC,EAAE,CAAC,CAAC;QAAC,EAAE,EAAE,gBAAgB,CAAC,GAAG,CAAC,CAAA;KAAE,EAAE,EAChE,iBAAiB,CAAC,EAAE,OAAO,KACxB,IAAI,CAAC;IACV,eAAe,EAAE,CAAC,IAAI,CAAC,EAAE,UAAU,KAAK,UAAU,CAAC;CACpD,CAAC;AAEF,MAAM,MAAM,gBAAgB,GAAG;IAG7B,WAAW,EAAE,MAAM,CAAC;IACpB,SAAS,EAAE,OAAO,CAAC;IACnB,SAAS,EAAE,SAAS,CAAC;IACrB,WAAW,CAAC,EAAE,CAAC,GAAG,CAAC,EAAE,MAAM,KAAK,UAAU,CAAC;IAC3C,cAAc,CAAC,EAAE,gBAAgB,CAAC;CACnC,CAAC;AACF,MAAM,MAAM,eAAe,GAAG;IAC5B,OAAO,CAAC,EAAE,UAAU,CAAC,EAAE,CAAC,CAAC;IACzB,OAAO,CAAC,EAAE,UAAU,CAAC,GAAG,CAAC,CAAC;IAC1B,UAAU,EAAE,OAAO,CAAC;IACpB,YAAY,EAAE,OAAO,CAAC;IACtB,YAAY,EAAE,OAAO,CAAC;CACvB,CAAC;AACF,KAAK,gBAAgB,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,CAAC,EAAE,CAAC;AAC1C,KAAK,UAAU,GAAG,gBAAgB,EAAE,CAAC;AAErC;;;;GAIG;AACH,MAAM,WAAW,YAAY;IAC3B,OAAO,EAAE,YAAY,CAAC;IACtB,eAAe,EAAE,UAAU,CAAC,iBAAiB,CAAC,CAAC;IAC/C,OAAO,EAAE,UAAU,CAAC,SAAS,CAAC,CAAC;IAC/B,YAAY,EAAE,UAAU,CAAC,cAAc,CAAC,CAAC;IACzC,EAAE,EAAE;QAAE,KAAK,EAAE,oBAAoB,CAAC,EAAE,CAAC,CAAA;KAAE,CAAC;IACxC,EAAE,EAAE;QAAE,KAAK,EAAE,oBAAoB,CAAC,GAAG,CAAC,CAAA;KAAE,CAAC;IACzC,MAAM,EAAE;QACN,EAAE,EAAE,MAAM,CAAC,EAAE,CAAC,CAAC;QACf,GAAG,EAAE,MAAM,CAAC;QACZ,GAAG,EAAE,MAAM,CAAC;QACZ,IAAI,EAAE,OAAO,CAAC;QACd,EAAE,EAAE,MAAM,CAAC,MAAM,CAAC,CAAC;KACpB,CAAC;IACF,KAAK,EAAE;QACL,eAAe,EAAE,CAAC,IAAI,CAAC,EAAE,UAAU,KAAK,UAAU,CAAC;QACnD,sBAAsB,EAAE,UAAU,CAAC,wBAAwB,CAAC,CAAC;KAC9D,CAAC;IACF,MAAM,EAAE;QACN,WAAW,EAAE,MAAM,CAAC;QACpB,SAAS,EAAE,SAAS,CAAC;KACtB,CAAC;CACH;AAED,MAAM,WAAW,uBAAwB,SAAQ,YAAY;IAC3D,EAAE,EAAE,SAAS,CAAC,oBAAoB,CAAC,EAAE,CAAC,CAAC,CAAC;IACxC,EAAE,EAAE,SAAS,CAAC,oBAAoB,CAAC,GAAG,CAAC,CAAC,CAAC;CAC1C;AAED,MAAM,WAAW,0BAA2B,SAAQ,uBAAuB;IACzE,cAAc,EAAE,OAAO,CAAC,MAAM,EAAE,GAAG,CAAC,CAAC;IACrC,eAAe,EAAE,OAAO,CAAC,GAAG,EAAE,MAAM,CAAC,CAAC;CACvC;AAED,KAAK,QAAQ,GAAG,UAAU,CAAC;AAC3B,MAAM,WAAW,OAAO,CAAC,CAAC,EAAE,CAAC;IAC3B,OAAO,EAAE,YAAY,CAAC;IACtB,MAAM,CAAC,IAAI,CAAC,EAAE,UAAU,GAAG;QACzB,SAAS,EAAE,UAAU,CAAC;QACtB,SAAS,EAAE,gBAAgB,CAAC,CAAC,CAAC,CAAC;KAChC,CAAC;IACF,YAAY,CAAC,SAAS,EAAE,UAAU,GAAG,gBAAgB,CAAC,CAAC,CAAC,CAAC;IACzD,IAAI,CAAC,aAAa,EAAE,gBAAgB,CAAC,CAAC,CAAC,EAAE,SAAS,EAAE,UAAU,GAAG,gBAAgB,CAAC,CAAC,CAAC,CAAC;IACrF,MAAM,CACJ,SAAS,EAAE,gBAAgB,CAAC,CAAC,CAAC,GAAG,QAAQ,EACzC,OAAO,EAAE,gBAAgB,CAAC,CAAC,CAAC,EAC5B,SAAS,EAAE,gBAAgB,CAAC,CAAC,CAAC,GAAG,QAAQ,GACxC,OAAO,CAAC;IACX,WAAW,EAAE,CACX,SAAS,EAAE,gBAAgB,CAAC,CAAC,CAAC,GAAG,QAAQ,EACzC,KAAK,EAAE;QAAE,OAAO,EAAE,gBAAgB,CAAC,CAAC,CAAC,CAAC;QAAC,SAAS,EAAE,gBAAgB,CAAC,CAAC,CAAC,GAAG,QAAQ,CAAA;KAAE,EAAE,KACjF,OAAO,CAAC;IACb,mBAAmB,CAAC,UAAU,EAAE,CAAC,gBAAgB,CAAC,CAAC,CAAC,GAAG,QAAQ,CAAC,EAAE,GAAG,gBAAgB,CAAC,CAAC,CAAC,CAAC;IACzF,mBAAmB,CAAC,UAAU,EAAE,CAAC,gBAAgB,CAAC,CAAC,CAAC,GAAG,QAAQ,CAAC,EAAE,GAAG,gBAAgB,CAAC,CAAC,CAAC,CAAC;IACzF,IAAI,CAAC,OAAO,EAAE,UAAU,EAAE,GAAG,CAAC,EAAE,MAAM,GAAG,UAAU,EAAE,QAAQ,CAAC,EAAE,WAAW,GAAG,gBAAgB,CAAC,CAAC,CAAC,CAAC;IAClG,SAAS,EAAE,kBAAkB,CAAC,CAAC,CAAC,CAAC;CAClC;AAq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abstract/bls.js

@@ -1,4 +0,1 @@
-"use strict";
-Object.defineProperty(exports, "__esModule", { value: true });
-exports.bls = bls;
 /**
@@ -21,7 +18,7 @@ * BLS != BLS.
 /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-const utils_ts_1 = require("../utils.js");
-const curve_ts_1 = require("./curve.js");
-const hash_to_curve_ts_1 = require("./hash-to-curve.js");
-const modular_ts_1 = require("./modular.js");
-const weierstrass_ts_1 = require("./weierstrass.js");
+import { abytes, memoized, notImplemented, randomBytes } from "../utils.js";
+import { normalizeZ } from "./curve.js";
+import { createHasher, } from "./hash-to-curve.js";
+import { getMinHashLength, mapHashToField } from "./modular.js";
+import {} from "./weierstrass.js";
 // prettier-ignore
@@ -51,3 +48,3 @@ const _0n = BigInt(0), _1n = BigInt(1), _2n = BigInt(2), _3n = BigInt(3);
 function createBlsPairing(fields, G1, G2, params) {
-    const { Fp2, Fp12 } = fields;
+    const { Fr, Fp2, Fp12 } = fields;
     const { twistType, ateLoopSize, xNegative, postPrecompute } = params;
@@ -104,3 +101,3 @@ // Applies sparse multiplication as line function
     const ATE_NAF = NAfDecomposition(ateLoopSize);
-    const calcPairingPrecomputes = (0, utils_ts_1.memoized)((point) => {
+    const calcPairingPrecomputes = memoized((point) => {
         const p = point;
@@ -148,4 +145,4 @@ const { x, y } = p.toAffine();
         // Cache precomputed toAffine for all points
-        (0, curve_ts_1.normalizeZ)(G1, pairs.map(({ g1 }) => g1));
-        (0, curve_ts_1.normalizeZ)(G2, pairs.map(({ g2 }) => g2));
+        normalizeZ(G1, pairs.map(({ g1 }) => g1));
+        normalizeZ(G2, pairs.map(({ g2 }) => g2));
         for (const { g1, g2 } of pairs) {
@@ -166,3 +163,13 @@ if (g1.is0() || g2.is0())
     }
+    const lengths = {
+        seed: getMinHashLength(Fr.ORDER),
+    };
+    const rand = params.randomBytes || randomBytes;
+    const randomSecretKey = (seed = rand(lengths.seed)) => {
+        abytes(seed, lengths.seed, 'seed');
+        return mapHashToField(seed, Fr.ORDER);
+    };
     return {
+        lengths,
+        Fr,
         Fp12, // NOTE: we re-export Fp12 here because pairing results are Fp12!
@@ -173,14 +180,23 @@ millerLoopBatch,
         calcPairingPrecomputes,
+        randomSecretKey,
     };
 }
-function createBlsSig(blsPairing, PubCurve, SigCurve, SignatureCoder, isSigG1) {
-    const { Fp12, pairingBatch } = blsPairing;
+function createBlsSig(blsPairing, PubPoint, SigPoint, isSigG1, hashToSigCurve, SignatureCoder) {
+    const { Fr, Fp12, pairingBatch, randomSecretKey, lengths } = blsPairing;
+    if (!SignatureCoder) {
+        SignatureCoder = {
+            fromBytes: notImplemented,
+            fromHex: notImplemented,
+            toBytes: notImplemented,
+            toHex: notImplemented,
+        };
+    }
     function normPub(point) {
-        return point instanceof PubCurve.Point ? point : PubCurve.Point.fromHex(point);
+        return point instanceof PubPoint ? point : PubPoint.fromBytes(point);
     }
     function normSig(point) {
-        return point instanceof SigCurve.Point ? point : SigCurve.Point.fromHex(point);
+        return point instanceof SigPoint ? point : SigPoint.fromBytes(point);
     }
     function amsg(m) {
-        if (!(m instanceof SigCurve.Point))
+        if (!(m instanceof SigPoint))
             throw new Error(`expected valid message hashed to ${!isSigG1 ? 'G2' : 'G1'} curve`);
@@ -193,9 +209,20 @@ return m;
         : (a, b) => ({ g1: b, g2: a });
-    return {
+    return Object.freeze({
+        lengths: { ...lengths, secretKey: Fr.BYTES },
+        keygen(seed) {
+            const secretKey = randomSecretKey(seed);
+            const publicKey = this.getPublicKey(secretKey);
+            return { secretKey, publicKey };
+        },
         // P = pk x G
         getPublicKey(secretKey) {
-            // TODO: replace with
-            // const sec = PubCurve.Point.Fn.fromBytes(secretKey);
-            const sec = (0, weierstrass_ts_1._normFnElement)(PubCurve.Point.Fn, secretKey);
-            return PubCurve.Point.BASE.multiply(sec);
+            let sec;
+            try {
+                sec = PubPoint.Fn.fromBytes(secretKey);
+            }
+            catch (error) {
+                // @ts-ignore
+                throw new Error('invalid private key: ' + typeof secretKey, { cause: error });
+            }
+            return PubPoint.BASE.multiply(sec);
         },
@@ -206,5 +233,3 @@ // S = pk x H(m)
                 throw new Error('sign() expects 2 arguments');
-            // TODO: replace with
-            // PubCurve.Point.Fn.fromBytes(secretKey)
-            const sec = (0, weierstrass_ts_1._normFnElement)(PubCurve.Point.Fn, secretKey);
+            const sec = PubPoint.Fn.fromBytes(secretKey);
             amsg(message).assertValidity();
@@ -222,3 +247,3 @@ return message.multiply(sec);
             const P = publicKey.negate();
-            const G = PubCurve.Point.BASE;
+            const G = PubPoint.BASE;
             const Hm = amsg(message);
@@ -236,9 +261,7 @@ const S = signature;
         // TODO: maybe `{message: G2Hex, publicKey: G1Hex}[]` instead?
-        verifyBatch(signature, messages, publicKeys) {
-            aNonEmpty(messages);
-            if (publicKeys.length !== messages.length)
-                throw new Error('amount of public keys and messages should be equal');
+        verifyBatch(signature, items) {
+            aNonEmpty(items);
             const sig = normSig(signature);
-            const nMessages = messages;
-            const nPublicKeys = publicKeys.map(normPub);
+            const nMessages = items.map((i) => i.message);
+            const nPublicKeys = items.map((i) => normPub(i.publicKey));
             // NOTE: this works only for exact same object
@@ -257,3 +280,3 @@ const messagePubKeyMap = new Map();
             const paired = [];
-            const G = PubCurve.Point.BASE;
+            const G = PubPoint.BASE;
             try {
@@ -276,3 +299,3 @@ for (const [msg, keys] of messagePubKeyMap) {
             publicKeys = publicKeys.map((pub) => normPub(pub));
-            const agg = publicKeys.reduce((sum, p) => sum.add(p), PubCurve.Point.ZERO);
+            const agg = publicKeys.reduce((sum, p) => sum.add(p), PubPoint.ZERO);
             agg.assertValidity();
@@ -286,3 +309,3 @@ return agg;
             signatures = signatures.map((sig) => normSig(sig));
-            const agg = signatures.reduce((sum, s) => sum.add(s), SigCurve.Point.ZERO);
+            const agg = signatures.reduce((sum, s) => sum.add(s), SigPoint.ZERO);
             agg.assertValidity();
@@ -292,134 +315,67 @@ return agg;
         hash(messageBytes, DST) {
-            (0, utils_ts_1.abytes)(messageBytes);
+            abytes(messageBytes);
             const opts = DST ? { DST } : undefined;
-            return SigCurve.hashToCurve(messageBytes, opts);
+            return hashToSigCurve(messageBytes, opts);
         },
         Signature: SignatureCoder,
-    };
+    }) /*satisfies Signer */;
 }
-// G1_Point: ProjConstructor<bigint>, G2_Point: ProjConstructor<Fp2>,
-function bls(CURVE) {
+// NOTE: separate function instead of function override, so we don't depend on hasher in bn254.
+export function blsBasic(fields, G1_Point, G2_Point, params) {
     // Fields are specific for curve, so for now we'll need to pass them with opts
-    const { Fp, Fr, Fp2, Fp6, Fp12 } = CURVE.fields;
+    const { Fp, Fr, Fp2, Fp6, Fp12 } = fields;
     // Point on G1 curve: (x, y)
-    const G1_ = (0, weierstrass_ts_1.weierstrassPoints)(CURVE.G1);
-    const G1 = Object.assign(G1_, (0, hash_to_curve_ts_1.createHasher)(G1_.Point, CURVE.G1.mapToCurve, {
-        ...CURVE.htfDefaults,
-        ...CURVE.G1.htfDefaults,
-    }));
+    // const G1_Point = weierstrass(CURVE.G1, { Fn: Fr });
+    const G1 = { Point: G1_Point };
     // Point on G2 curve (complex numbers): (x₁, x₂+i), (y₁, y₂+i)
-    const G2_ = (0, weierstrass_ts_1.weierstrassPoints)(CURVE.G2);
-    const G2 = Object.assign(G2_, (0, hash_to_curve_ts_1.createHasher)(G2_.Point, CURVE.G2.mapToCurve, {
-        ...CURVE.htfDefaults,
-        ...CURVE.G2.htfDefaults,
-    }));
-    const pairingRes = createBlsPairing(CURVE.fields, G1.Point, G2.Point, {
-        ...CURVE.params,
-        postPrecompute: CURVE.postPrecompute,
-    });
-    const { millerLoopBatch, pairing, pairingBatch, calcPairingPrecomputes } = pairingRes;
-    const longSignatures = createBlsSig(pairingRes, G1, G2, CURVE.G2.Signature, false);
-    const shortSignatures = createBlsSig(pairingRes, G2, G1, CURVE.G1.ShortSignature, true);
-    const rand = CURVE.randomBytes || utils_ts_1.randomBytes;
-    const randomSecretKey = () => {
-        const length = (0, modular_ts_1.getMinHashLength)(Fr.ORDER);
-        return (0, modular_ts_1.mapHashToField)(rand(length), Fr.ORDER);
-    };
-    const utils = {
-        randomSecretKey,
-        randomPrivateKey: randomSecretKey,
-        calcPairingPrecomputes,
-    };
-    const { ShortSignature } = CURVE.G1;
-    const { Signature } = CURVE.G2;
-    function normP1Hash(point, htfOpts) {
-        return point instanceof G1.Point
-            ? point
-            : shortSignatures.hash((0, utils_ts_1.ensureBytes)('point', point), htfOpts?.DST);
-    }
-    function normP2Hash(point, htfOpts) {
-        return point instanceof G2.Point
-            ? point
-            : longSignatures.hash((0, utils_ts_1.ensureBytes)('point', point), htfOpts?.DST);
-    }
-    function getPublicKey(privateKey) {
-        return longSignatures.getPublicKey(privateKey).toBytes(true);
-    }
-    function getPublicKeyForShortSignatures(privateKey) {
-        return shortSignatures.getPublicKey(privateKey).toBytes(true);
-    }
-    function sign(message, privateKey, htfOpts) {
-        const Hm = normP2Hash(message, htfOpts);
-        const S = longSignatures.sign(Hm, privateKey);
-        return message instanceof G2.Point ? S : Signature.toBytes(S);
-    }
-    function signShortSignature(message, privateKey, htfOpts) {
-        const Hm = normP1Hash(message, htfOpts);
-        const S = shortSignatures.sign(Hm, privateKey);
-        return message instanceof G1.Point ? S : ShortSignature.toBytes(S);
-    }
-    function verify(signature, message, publicKey, htfOpts) {
-        const Hm = normP2Hash(message, htfOpts);
-        return longSignatures.verify(signature, Hm, publicKey);
-    }
-    function verifyShortSignature(signature, message, publicKey, htfOpts) {
-        const Hm = normP1Hash(message, htfOpts);
-        return shortSignatures.verify(signature, Hm, publicKey);
-    }
-    function aggregatePublicKeys(publicKeys) {
-        const agg = longSignatures.aggregatePublicKeys(publicKeys);
-        return publicKeys[0] instanceof G1.Point ? agg : agg.toBytes(true);
-    }
-    function aggregateSignatures(signatures) {
-        const agg = longSignatures.aggregateSignatures(signatures);
-        return signatures[0] instanceof G2.Point ? agg : Signature.toBytes(agg);
-    }
-    function aggregateShortSignatures(signatures) {
-        const agg = shortSignatures.aggregateSignatures(signatures);
-        return signatures[0] instanceof G1.Point ? agg : ShortSignature.toBytes(agg);
-    }
-    function verifyBatch(signature, messages, publicKeys, htfOpts) {
-        const Hm = messages.map((m) => normP2Hash(m, htfOpts));
-        return longSignatures.verifyBatch(signature, Hm, publicKeys);
-    }
+    const G2 = { Point: G2_Point };
+    const pairingRes = createBlsPairing(fields, G1_Point, G2_Point, params);
+    const { millerLoopBatch, pairing, pairingBatch, calcPairingPrecomputes, randomSecretKey, lengths, } = pairingRes;
     G1.Point.BASE.precompute(4);
-    return {
-        longSignatures,
-        shortSignatures,
+    return Object.freeze({
+        lengths,
         millerLoopBatch,
         pairing,
         pairingBatch,
-        verifyBatch,
-        fields: {
-            Fr,
-            Fp,
-            Fp2,
-            Fp6,
-            Fp12,
-        },
+        G1,
+        G2,
+        fields: { Fr, Fp, Fp2, Fp6, Fp12 },
         params: {
-            ateLoopSize: CURVE.params.ateLoopSize,
-            twistType: CURVE.params.twistType,
-            // deprecated
-            r: CURVE.params.r,
-            G1b: CURVE.G1.b,
-            G2b: CURVE.G2.b,
+            ateLoopSize: params.ateLoopSize,
+            twistType: params.twistType,
         },
-        utils,
-        // deprecated
-        getPublicKey,
-        getPublicKeyForShortSignatures,
-        sign,
-        signShortSignature,
-        verify,
-        verifyShortSignature,
-        aggregatePublicKeys,
-        aggregateSignatures,
-        aggregateShortSignatures,
-        G1,
-        G2,
-        Signature,
-        ShortSignature,
+        utils: {
+            randomSecretKey,
+            calcPairingPrecomputes,
+        },
+    });
+}
+// We can export this too, but seems there is not much reasons for now? If user wants hasher, they can just create hasher.
+function blsHashers(fields, G1_Point, G2_Point, params, hasherParams) {
+    const base = blsBasic(fields, G1_Point, G2_Point, params);
+    const G1Hasher = createHasher(G1_Point, hasherParams.mapToG1 || notImplemented, {
+        ...hasherParams.hasherOpts,
+        ...hasherParams.hasherOptsG1,
+    });
+    const G2Hasher = createHasher(G2_Point, hasherParams.mapToG2 || notImplemented, {
+        ...hasherParams.hasherOpts,
+        ...hasherParams.hasherOptsG2,
+    });
+    return Object.freeze({ ...base, G1: G1Hasher, G2: G2Hasher });
+}
+// G1_Point: ProjConstructor<bigint>, G2_Point: ProjConstructor<Fp2>,
+// Rename to blsSignatures?
+export function bls(fields, G1_Point, G2_Point, params, hasherParams, signatureCoders) {
+    const base = blsHashers(fields, G1_Point, G2_Point, params, hasherParams);
+    const pairingRes = {
+        ...base,
+        Fr: base.fields.Fr,
+        Fp12: base.fields.Fp12,
+        calcPairingPrecomputes: base.utils.calcPairingPrecomputes,
+        randomSecretKey: base.utils.randomSecretKey,
     };
+    const longSignatures = createBlsSig(pairingRes, G1_Point, G2_Point, false, base.G2.hashToCurve, signatureCoders?.LongSignature);
+    const shortSignatures = createBlsSig(pairingRes, G2_Point, G1_Point, true, base.G1.hashToCurve, signatureCoders?.ShortSignature);
+    return Object.freeze({ ...base, longSignatures, shortSignatures });
 }
 //# sourceMappingURL=bls.js.map

abstract/bls.js.map

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abstract/curve.d.ts

@@ -8,13 +8,4 @@ import { type IField } from './modular.ts';
 };
-export interface Group<T extends Group<T>> {
-    double(): T;
-    negate(): T;
-    add(other: T): T;
-    subtract(other: T): T;
-    equals(other: T): boolean;
-    multiply(scalar: bigint): T;
-    toAffine?(invertedZ?: any): AffinePoint<any>;
-}
 /** Base interface for all elliptic curve Points. */
-export interface CurvePoint<F, P extends CurvePoint<F, P>> extends Group<P> {
+export interface CurvePoint<F, P extends CurvePoint<F, P>> {
     /** Affine x coordinate. Different from projective / extended X coordinate. */
@@ -59,3 +50,3 @@ x: F;
     fromBytes(bytes: Uint8Array): P;
-    fromHex(hex: Uint8Array | string): P;
+    fromHex(hex: string): P;
 }
@@ -77,12 +68,2 @@ /** Returns Fp type from Point (P_F<P> == P.F) */
 }
-export type GroupConstructor<T> = {
-    BASE: T;
-    ZERO: T;
-};
-/** @deprecated */
-export type ExtendedGroupConstructor<T> = GroupConstructor<T> & {
-    Fp: IField<any>;
-    Fn: IField<bigint>;
-    fromAffine(ap: AffinePoint<any>): T;
-};
 export type Mapper<T> = (i: T[]) => T[];
@@ -185,3 +166,3 @@ export declare function negateCt<T extends {
  */
-export declare function pippenger<P extends CurvePoint<any, P>, PC extends CurvePointCons<P>>(c: PC, fieldN: IField<bigint>, points: P[], scalars: bigint[]): P;
+export declare function pippenger<P extends CurvePoint<any, P>, PC extends CurvePointCons<P>>(c: PC, points: P[], scalars: bigint[]): P;
 /**
@@ -194,25 +175,3 @@ * Precomputed multi-scalar multiplication (MSM, Pa + Qb + Rc + ...).
  */
-export declare function precomputeMSMUnsafe<P extends CurvePoint<any, P>, PC extends CurvePointCons<P>>(c: PC, fieldN: IField<bigint>, points: P[], windowSize: number): (scalars: bigint[]) => P;
-/**
- * Generic BasicCurve interface: works even for polynomial fields (BLS): P, n, h would be ok.
- * Though generator can be different (Fp2 / Fp6 for BLS).
- */
-export type BasicCurve<T> = {
-    Fp: IField<T>;
-    n: bigint;
-    nBitLength?: number;
-    nByteLength?: number;
-    h: bigint;
-    hEff?: bigint;
-    Gx: T;
-    Gy: T;
-    allowInfinityPoint?: boolean;
-};
-/** @deprecated */
-export declare function validateBasic<FP, T>(curve: BasicCurve<FP> & T): Readonly<{
-    readonly nBitLength: number;
-    readonly nByteLength: number;
-} & BasicCurve<FP> & T & {
-    p: bigint;
-}>;
+export declare function precomputeMSMUnsafe<P extends CurvePoint<any, P>, PC extends CurvePointCons<P>>(c: PC, points: P[], windowSize: number): (scalars: bigint[]) => P;
 export type ValidCurveParams<T> = {
@@ -219,0 +178,0 @@ p: bigint;

abstract/curve.d.ts.map

@@ -1,1 +0,1 @@
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abstract/curve.js

@@ -1,11 +0,1 @@
-"use strict";
-Object.defineProperty(exports, "__esModule", { value: true });
-exports.wNAF = void 0;
-exports.negateCt = negateCt;
-exports.normalizeZ = normalizeZ;
-exports.mulEndoUnsafe = mulEndoUnsafe;
-exports.pippenger = pippenger;
-exports.precomputeMSMUnsafe = precomputeMSMUnsafe;
-exports.validateBasic = validateBasic;
-exports._createCurveFields = _createCurveFields;
 /**
@@ -17,7 +7,7 @@ * Methods for elliptic curve multiplication by scalars.
 /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-const utils_ts_1 = require("../utils.js");
-const modular_ts_1 = require("./modular.js");
+import { bitLen, bitMask } from "../utils.js";
+import { Field, FpInvertBatch, validateField } from "./modular.js";
 const _0n = BigInt(0);
 const _1n = BigInt(1);
-function negateCt(condition, item) {
+export function negateCt(condition, item) {
     const neg = item.negate();
@@ -32,4 +22,4 @@ return condition ? neg : item;
  */
-function normalizeZ(c, points) {
-    const invertedZs = (0, modular_ts_1.FpInvertBatch)(c.Fp, points.map((p) => p.Z));
+export function normalizeZ(c, points) {
+    const invertedZs = FpInvertBatch(c.Fp, points.map((p) => p.Z));
     return points.map((p, i) => c.fromAffine(p.toAffine(invertedZs[i])));
@@ -46,3 +36,3 @@ }
     const maxNumber = 2 ** W; // W=8 256
-    const mask = (0, utils_ts_1.bitMask)(W); // W=8 255 == mask 0b11111111
+    const mask = bitMask(W); // W=8 255 == mask 0b11111111
     const shiftBy = BigInt(W); // W=8 8
@@ -121,3 +111,7 @@ return { windows, windowSize, mask, maxNumber, shiftBy };
  */
-class wNAF {
+export class wNAF {
+    BASE;
+    ZERO;
+    Fn;
+    bits;
     // Parametrized with a given Point class (not individual point)
@@ -270,3 +264,2 @@ constructor(Point, bits) {
 }
-exports.wNAF = wNAF;
 /**
@@ -276,3 +269,3 @@ * Endomorphism-specific multiplication for Koblitz curves.
  */
-function mulEndoUnsafe(Point, point, k1, k2) {
+export function mulEndoUnsafe(Point, point, k1, k2) {
     let acc = point;
@@ -302,3 +295,3 @@ let p1 = Point.ZERO;
  */
-function pippenger(c, fieldN, points, scalars) {
+export function pippenger(c, points, scalars) {
     // If we split scalars by some window (let's say 8 bits), every chunk will only
@@ -310,2 +303,3 @@ // take 256 buckets even if there are 4096 scalars, also re-uses double.
     // 0 is accepted in scalars
+    const fieldN = c.Fn;
     validateMSMPoints(points, c);
@@ -319,3 +313,3 @@ validateMSMScalars(scalars, fieldN);
     const zero = c.ZERO;
-    const wbits = (0, utils_ts_1.bitLen)(BigInt(plength));
+    const wbits = bitLen(BigInt(plength));
     let windowSize = 1; // bits
@@ -328,3 +322,3 @@ if (wbits > 12)
         windowSize = 2;
-    const MASK = (0, utils_ts_1.bitMask)(windowSize);
+    const MASK = bitMask(windowSize);
     const buckets = new Array(Number(MASK) + 1).fill(zero); // +1 for zero array
@@ -360,3 +354,3 @@ const lastBits = Math.floor((fieldN.BITS - 1) / windowSize) * windowSize;
  */
-function precomputeMSMUnsafe(c, fieldN, points, windowSize) {
+export function precomputeMSMUnsafe(c, points, windowSize) {
     /**
@@ -397,2 +391,3 @@ * Performance Analysis of Window-based Precomputation
      */
+    const fieldN = c.Fn;
     validateW(windowSize, fieldN.BITS);
@@ -403,3 +398,3 @@ validateMSMPoints(points, c);
     const chunks = Math.ceil(fieldN.BITS / windowSize); // chunks of item
-    const MASK = (0, utils_ts_1.bitMask)(windowSize);
+    const MASK = bitMask(windowSize);
     const tables = points.map((p) => {
@@ -435,22 +430,2 @@ const res = [];
 }
-// TODO: remove
-/** @deprecated */
-function validateBasic(curve) {
-    (0, modular_ts_1.validateField)(curve.Fp);
-    (0, utils_ts_1.validateObject)(curve, {
-        n: 'bigint',
-        h: 'bigint',
-        Gx: 'field',
-        Gy: 'field',
-    }, {
-        nBitLength: 'isSafeInteger',
-        nByteLength: 'isSafeInteger',
-    });
-    // Set defaults
-    return Object.freeze({
-        ...(0, modular_ts_1.nLength)(curve.n, curve.nBitLength),
-        ...curve,
-        ...{ p: curve.Fp.ORDER },
-    });
-}
 function createField(order, field, isLE) {
@@ -460,11 +435,11 @@ if (field) {
             throw new Error('Field.ORDER must match order: Fp == p, Fn == n');
-        (0, modular_ts_1.validateField)(field);
+        validateField(field);
         return field;
     }
     else {
-        return (0, modular_ts_1.Field)(order, { isLE });
+        return Field(order, { isLE });
     }
 }
 /** Validates CURVE opts and creates fields */
-function _createCurveFields(type, CURVE, curveOpts = {}, FpFnLE) {
+export function _createCurveFields(type, CURVE, curveOpts = {}, FpFnLE) {
     if (FpFnLE === undefined)
@@ -471,0 +446,0 @@ FpFnLE = type === 'edwards';

abstract/curve.js.map

@@ -1,1 +0,1 @@
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abstract/edwards.d.ts

@@ -8,5 +8,5 @@ /**
 /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { type FHash, type Hex } from '../utils.ts';
-import { type AffinePoint, type BasicCurve, type CurveLengths, type CurvePoint, type CurvePointCons } from './curve.ts';
-import { type IField, type NLength } from './modular.ts';
+import { type FHash } from '../utils.ts';
+import { type AffinePoint, type CurveLengths, type CurvePoint, type CurvePointCons } from './curve.ts';
+import { type IField } from './modular.ts';
 export type UVRatio = (u: bigint, v: bigint) => {
@@ -26,14 +26,2 @@ isValid: boolean;
     readonly T: bigint;
-    /** @deprecated use `toBytes` */
-    toRawBytes(): Uint8Array;
-    /** @deprecated use `p.precompute(windowSize)` */
-    _setWindowSize(windowSize: number): void;
-    /** @deprecated use .X */
-    readonly ex: bigint;
-    /** @deprecated use .Y */
-    readonly ey: bigint;
-    /** @deprecated use .Z */
-    readonly ez: bigint;
-    /** @deprecated use .T */
-    readonly et: bigint;
 }
@@ -45,10 +33,4 @@ /** Static methods of Extended Point with coordinates in X, Y, Z, T. */
     fromBytes(bytes: Uint8Array, zip215?: boolean): EdwardsPoint;
-    fromHex(hex: Hex, zip215?: boolean): EdwardsPoint;
-    /** @deprecated use `import { pippenger } from '@noble/curves/abstract/curve.js';` */
-    msm(points: EdwardsPoint[], scalars: bigint[]): EdwardsPoint;
+    fromHex(hex: string, zip215?: boolean): EdwardsPoint;
 }
-/** @deprecated use EdwardsPoint */
-export type ExtPointType = EdwardsPoint;
-/** @deprecated use EdwardsPointCons */
-export type ExtPointConstructor = EdwardsPointCons;
 /**
@@ -117,8 +99,8 @@ * Twisted Edwards curve options.
     };
-    getPublicKey: (secretKey: Hex) => Uint8Array;
-    sign: (message: Hex, secretKey: Hex, options?: {
-        context?: Hex;
+    getPublicKey: (secretKey: Uint8Array) => Uint8Array;
+    sign: (message: Uint8Array, secretKey: Uint8Array, options?: {
+        context?: Uint8Array;
     }) => Uint8Array;
-    verify: (sig: Hex, message: Hex, publicKey: Hex, options?: {
-        context?: Hex;
+    verify: (sig: Uint8Array, message: Uint8Array, publicKey: Uint8Array, options?: {
+        context?: Uint8Array;
         zip215: boolean;
@@ -157,3 +139,3 @@ }) => boolean;
         toMontgomeryPriv: (privateKey: Uint8Array) => Uint8Array;
-        getExtendedPublicKey: (key: Hex) => {
+        getExtendedPublicKey: (key: Uint8Array) => {
             head: Uint8Array;
@@ -165,6 +147,2 @@ prefix: Uint8Array;
         };
-        /** @deprecated use `randomSecretKey` */
-        randomPrivateKey: (seed?: Uint8Array) => Uint8Array;
-        /** @deprecated use `point.precompute()` */
-        precompute: (windowSize?: number, point?: EdwardsPoint) => EdwardsPoint;
     };
@@ -189,3 +167,3 @@ lengths: CurveLengths;
     static fromBytes(_bytes: Uint8Array): any;
-    static fromHex(_hex: Hex): any;
+    static fromHex(_hex: string): any;
     get x(): bigint;
@@ -210,4 +188,2 @@ get y(): bigint;
     protected abstract init(ep: EdwardsPoint): T;
-    /** @deprecated use `toBytes` */
-    toRawBytes(): Uint8Array;
 }
@@ -218,35 +194,2 @@ /**
 export declare function eddsa(Point: EdwardsPointCons, cHash: FHash, eddsaOpts?: EdDSAOpts): EdDSA;
-export type CurveType = BasicCurve<bigint> & {
-    a: bigint;
-    d: bigint;
-    /** @deprecated the property will be removed in next release */
-    hash: FHash;
-    randomBytes?: (bytesLength?: number) => Uint8Array;
-    adjustScalarBytes?: (bytes: Uint8Array) => Uint8Array;
-    domain?: (data: Uint8Array, ctx: Uint8Array, phflag: boolean) => Uint8Array;
-    uvRatio?: UVRatio;
-    prehash?: FHash;
-    mapToCurve?: (scalar: bigint[]) => AffinePoint<bigint>;
-};
-export type CurveTypeWithLength = Readonly<CurveType & Partial<NLength>>;
-export type CurveFn = {
-    /** @deprecated the property will be removed in next release */
-    CURVE: CurveType;
-    keygen: EdDSA['keygen'];
-    getPublicKey: EdDSA['getPublicKey'];
-    sign: EdDSA['sign'];
-    verify: EdDSA['verify'];
-    Point: EdwardsPointCons;
-    /** @deprecated use `Point` */
-    ExtendedPoint: EdwardsPointCons;
-    utils: EdDSA['utils'];
-    lengths: CurveLengths;
-};
-export type EdComposed = {
-    CURVE: EdwardsOpts;
-    curveOpts: EdwardsExtraOpts;
-    hash: FHash;
-    eddsaOpts: EdDSAOpts;
-};
-export declare function twistedEdwards(c: CurveTypeWithLength): CurveFn;
 //# sourceMappingURL=edwards.d.ts.map

abstract/edwards.d.ts.map

@@ -1,1 +0,1 @@
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abstract/edwards.js

@@ -1,7 +0,1 @@
-"use strict";
-Object.defineProperty(exports, "__esModule", { value: true });
-exports.PrimeEdwardsPoint = void 0;
-exports.edwards = edwards;
-exports.eddsa = eddsa;
-exports.twistedEdwards = twistedEdwards;
 /**
@@ -14,5 +8,5 @@ * Twisted Edwards curve. The formula is: ax² + y² = 1 + dx²y².
 /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-const utils_ts_1 = require("../utils.js");
-const curve_ts_1 = require("./curve.js");
-const modular_ts_1 = require("./modular.js");
+import { _validateObject, abool, abytes, aInRange, bytesToHex, bytesToNumberLE, concatBytes, copyBytes, hexToBytes, isBytes, memoized, notImplemented, randomBytes as wcRandomBytes, } from "../utils.js";
+import { _createCurveFields, normalizeZ, wNAF, } from "./curve.js";
+import {} from "./modular.js";
 // Be friendly to bad ECMAScript parsers by not using bigint literals
@@ -28,8 +22,8 @@ // prettier-ignore
 }
-function edwards(params, extraOpts = {}) {
-    const validated = (0, curve_ts_1._createCurveFields)('edwards', params, extraOpts, extraOpts.FpFnLE);
+export function edwards(params, extraOpts = {}) {
+    const validated = _createCurveFields('edwards', params, extraOpts, extraOpts.FpFnLE);
     const { Fp, Fn } = validated;
     let CURVE = validated.CURVE;
     const { h: cofactor } = CURVE;
-    (0, utils_ts_1._validateObject)(extraOpts, {}, { uvRatio: 'function' });
+    _validateObject(extraOpts, {}, { uvRatio: 'function' });
     // Important:
@@ -61,3 +55,3 @@ // There are some places where Fp.BYTES is used instead of nByteLength.
         const min = banZero ? _1n : _0n;
-        (0, utils_ts_1.aInRange)('coordinate ' + title, n, min, MASK);
+        aInRange('coordinate ' + title, n, min, MASK);
         return n;
@@ -71,3 +65,3 @@ }
     // Can accept precomputed Z^-1 - for example, from invertBatch.
-    const toAffineMemo = (0, utils_ts_1.memoized)((p, iz) => {
+    const toAffineMemo = memoized((p, iz) => {
         const { X, Y, Z } = p;
@@ -86,3 +80,3 @@ const is0 = p.is0();
     });
-    const assertValidMemo = (0, utils_ts_1.memoized)((p) => {
+    const assertValidMemo = memoized((p) => {
         const { a, d } = CURVE;
@@ -113,2 +107,14 @@ if (p.is0())
     class Point {
+        // base / generator point
+        static BASE = new Point(CURVE.Gx, CURVE.Gy, _1n, modP(CURVE.Gx * CURVE.Gy));
+        // zero / infinity / identity point
+        static ZERO = new Point(_0n, _1n, _1n, _0n); // 0, 1, 1, 0
+        // math field
+        static Fp = Fp;
+        // scalar field
+        static Fn = Fn;
+        X;
+        Y;
+        Z;
+        T;
         constructor(X, Y, Z, T) {
@@ -136,8 +142,8 @@ this.X = acoord('x', X);
             const { a, d } = CURVE;
-            bytes = (0, utils_ts_1.copyBytes)((0, utils_ts_1._abytes2)(bytes, len, 'point'));
-            (0, utils_ts_1._abool2)(zip215, 'zip215');
-            const normed = (0, utils_ts_1.copyBytes)(bytes); // copy again, we'll manipulate it
+            bytes = copyBytes(abytes(bytes, len, 'point'));
+            abool(zip215, 'zip215');
+            const normed = copyBytes(bytes); // copy again, we'll manipulate it
             const lastByte = bytes[len - 1]; // select last byte
             normed[len - 1] = lastByte & ~0x80; // clear last bit
-            const y = (0, utils_ts_1.bytesToNumberLE)(normed);
+            const y = bytesToNumberLE(normed);
             // zip215=true is good for consensus-critical apps. =false follows RFC8032 / NIST186-5.
@@ -148,3 +154,3 @@ // RFC8032 prohibits >= p, but ZIP215 doesn't
             const max = zip215 ? MASK : Fp.ORDER;
-            (0, utils_ts_1.aInRange)('point.y', y, _0n, max);
+            aInRange('point.y', y, _0n, max);
             // Ed25519: x² = (y²-1)/(dy²+1) mod p. Ed448: x² = (y²-1)/(dy²-1) mod p. Generic case:
@@ -167,4 +173,4 @@ // ax²+y²=1+dx²y² => y²-1=dx²y²-ax² => y²-1=x²(dy²-a) => x²=(y²-1)/(dy²-a)
         }
-        static fromHex(bytes, zip215 = false) {
-            return Point.fromBytes((0, utils_ts_1.ensureBytes)('point', bytes), zip215);
+        static fromHex(hex, zip215 = false) {
+            return Point.fromBytes(hexToBytes(hex), zip215);
         }
@@ -256,4 +262,4 @@ get x() {
                 throw new Error('invalid scalar: expected 1 <= sc < curve.n');
-            const { p, f } = wnaf.cached(this, scalar, (p) => (0, curve_ts_1.normalizeZ)(Point, p));
-            return (0, curve_ts_1.normalizeZ)(Point, [p, f])[0];
+            const { p, f } = wnaf.cached(this, scalar, (p) => normalizeZ(Point, p));
+            return normalizeZ(Point, [p, f])[0];
         }
@@ -273,3 +279,3 @@ // Non-constant-time multiplication. Uses double-and-add algorithm.
                 return this;
-            return wnaf.unsafe(this, scalar, (p) => (0, curve_ts_1.normalizeZ)(Point, p), acc);
+            return wnaf.unsafe(this, scalar, (p) => normalizeZ(Point, p), acc);
         }
@@ -308,3 +314,3 @@ // Checks if point is of small order.
         toHex() {
-            return (0, utils_ts_1.bytesToHex)(this.toBytes());
+            return bytesToHex(this.toBytes());
         }
@@ -314,37 +320,4 @@ toString() {
         }
-        // TODO: remove
-        get ex() {
-            return this.X;
-        }
-        get ey() {
-            return this.Y;
-        }
-        get ez() {
-            return this.Z;
-        }
-        get et() {
-            return this.T;
-        }
-        static normalizeZ(points) {
-            return (0, curve_ts_1.normalizeZ)(Point, points);
-        }
-        static msm(points, scalars) {
-            return (0, curve_ts_1.pippenger)(Point, Fn, points, scalars);
-        }
-        _setWindowSize(windowSize) {
-            this.precompute(windowSize);
-        }
-        toRawBytes() {
-            return this.toBytes();
-        }
     }
-    // base / generator point
-    Point.BASE = new Point(CURVE.Gx, CURVE.Gy, _1n, modP(CURVE.Gx * CURVE.Gy));
-    // zero / infinity / identity point
-    Point.ZERO = new Point(_0n, _1n, _1n, _0n); // 0, 1, 1, 0
-    // math field
-    Point.Fp = Fp;
-    // scalar field
-    Point.Fn = Fn;
-    const wnaf = new curve_ts_1.wNAF(Point, Fn.BITS);
+    const wnaf = new wNAF(Point, Fn.BITS);
     Point.BASE.precompute(8); // Enable precomputes. Slows down first publicKey computation by 20ms.
@@ -358,3 +331,8 @@ return Point;
  */
-class PrimeEdwardsPoint {
+export class PrimeEdwardsPoint {
+    static BASE;
+    static ZERO;
+    static Fp;
+    static Fn;
+    ep;
     constructor(ep) {
@@ -365,6 +343,6 @@ this.ep = ep;
     static fromBytes(_bytes) {
-        (0, utils_ts_1.notImplemented)();
+        notImplemented();
     }
     static fromHex(_hex) {
-        (0, utils_ts_1.notImplemented)();
+        notImplemented();
     }
@@ -389,3 +367,3 @@ get x() {
     toHex() {
-        return (0, utils_ts_1.bytesToHex)(this.toBytes());
+        return bytesToHex(this.toBytes());
     }
@@ -424,15 +402,10 @@ toString() {
     }
-    /** @deprecated use `toBytes` */
-    toRawBytes() {
-        return this.toBytes();
-    }
 }
-exports.PrimeEdwardsPoint = PrimeEdwardsPoint;
 /**
  * Initializes EdDSA signatures over given Edwards curve.
  */
-function eddsa(Point, cHash, eddsaOpts = {}) {
+export function eddsa(Point, cHash, eddsaOpts = {}) {
     if (typeof cHash !== 'function')
         throw new Error('"hash" function param is required');
-    (0, utils_ts_1._validateObject)(eddsaOpts, {}, {
+    _validateObject(eddsaOpts, {}, {
         adjustScalarBytes: 'function',
@@ -446,7 +419,7 @@ randomBytes: 'function',
     const { BASE, Fp, Fn } = Point;
-    const randomBytes = eddsaOpts.randomBytes || utils_ts_1.randomBytes;
+    const randomBytes = eddsaOpts.randomBytes || wcRandomBytes;
     const adjustScalarBytes = eddsaOpts.adjustScalarBytes || ((bytes) => bytes);
     const domain = eddsaOpts.domain ||
         ((data, ctx, phflag) => {
-            (0, utils_ts_1._abool2)(phflag, 'phflag');
+            abool(phflag, 'phflag');
             if (ctx.length || phflag)
@@ -458,3 +431,3 @@ throw new Error('Contexts/pre-hash are not supported');
     function modN_LE(hash) {
-        return Fn.create((0, utils_ts_1.bytesToNumberLE)(hash)); // Not Fn.fromBytes: it has length limit
+        return Fn.create(bytesToNumberLE(hash)); // Not Fn.fromBytes: it has length limit
     }
@@ -464,6 +437,6 @@ // Get the hashed private scalar per RFC8032 5.1.5
         const len = lengths.secretKey;
-        key = (0, utils_ts_1.ensureBytes)('private key', key, len);
+        abytes(key, lengths.secretKey, 'secretKey');
         // Hash private key with curve's hash function to produce uniformingly random input
         // Check byte lengths: ensure(64, h(ensure(32, key)))
-        const hashed = (0, utils_ts_1.ensureBytes)('hashed private key', cHash(key), 2 * len);
+        const hashed = abytes(cHash(key), 2 * len, 'hashedSecretKey');
         const head = adjustScalarBytes(hashed.slice(0, len)); // clear first half bits, produce FE
@@ -487,8 +460,8 @@ const prefix = hashed.slice(len, 2 * len); // second half is called key prefix (5.1.6)
     function hashDomainToScalar(context = Uint8Array.of(), ...msgs) {
-        const msg = (0, utils_ts_1.concatBytes)(...msgs);
-        return modN_LE(cHash(domain(msg, (0, utils_ts_1.ensureBytes)('context', context), !!prehash)));
+        const msg = concatBytes(...msgs);
+        return modN_LE(cHash(domain(msg, abytes(context, undefined, 'context'), !!prehash)));
     }
     /** Signs message with privateKey. RFC8032 5.1.6 */
     function sign(msg, secretKey, options = {}) {
-        msg = (0, utils_ts_1.ensureBytes)('message', msg);
+        msg = abytes(msg, undefined, 'message');
         if (prehash)
@@ -503,4 +476,4 @@ msg = prehash(msg); // for ed25519ph etc.
             throw new Error('sign failed: invalid s'); // 0 <= s < L
-        const rs = (0, utils_ts_1.concatBytes)(R, Fn.toBytes(s));
-        return (0, utils_ts_1._abytes2)(rs, lengths.signature, 'result');
+        const rs = concatBytes(R, Fn.toBytes(s));
+        return abytes(rs, lengths.signature, 'result');
     }
@@ -516,7 +489,7 @@ // verification rule is either zip215 or rfc8032 / nist186-5. Consult fromHex:
         const len = lengths.signature;
-        sig = (0, utils_ts_1.ensureBytes)('signature', sig, len);
-        msg = (0, utils_ts_1.ensureBytes)('message', msg);
-        publicKey = (0, utils_ts_1.ensureBytes)('publicKey', publicKey, lengths.publicKey);
+        sig = abytes(sig, len, 'signature');
+        msg = abytes(msg, undefined, 'message');
+        publicKey = abytes(publicKey, lengths.publicKey, 'publicKey');
         if (zip215 !== undefined)
-            (0, utils_ts_1._abool2)(zip215, 'zip215');
+            abool(zip215, 'zip215');
         if (prehash)
@@ -526,3 +499,3 @@ msg = prehash(msg); // for ed25519ph, etc
         const r = sig.subarray(0, mid);
-        const s = (0, utils_ts_1.bytesToNumberLE)(sig.subarray(mid, len));
+        const s = bytesToNumberLE(sig.subarray(mid, len));
         let A, R, SB;
@@ -556,3 +529,3 @@ try {
     function randomSecretKey(seed = randomBytes(lengths.seed)) {
-        return (0, utils_ts_1._abytes2)(seed, lengths.seed, 'seed');
+        return abytes(seed, lengths.seed, 'seed');
     }
@@ -564,3 +537,3 @@ function keygen(seed) {
     function isValidSecretKey(key) {
-        return (0, utils_ts_1.isBytes)(key) && key.length === Fn.BYTES;
+        return isBytes(key) && key.length === Fn.BYTES;
     }
@@ -600,12 +573,6 @@ function isValidPublicKey(key, zip215) {
             const size = lengths.secretKey;
-            (0, utils_ts_1._abytes2)(secretKey, size);
+            abytes(secretKey, size);
             const hashed = cHash(secretKey.subarray(0, size));
             return adjustScalarBytes(hashed).subarray(0, size);
         },
-        /** @deprecated */
-        randomPrivateKey: randomSecretKey,
-        /** @deprecated */
-        precompute(windowSize = 8, point = Point.BASE) {
-            return point.precompute(windowSize, false);
-        },
     };
@@ -622,41 +589,2 @@ return Object.freeze({
 }
-function _eddsa_legacy_opts_to_new(c) {
-    const CURVE = {
-        a: c.a,
-        d: c.d,
-        p: c.Fp.ORDER,
-        n: c.n,
-        h: c.h,
-        Gx: c.Gx,
-        Gy: c.Gy,
-    };
-    const Fp = c.Fp;
-    const Fn = (0, modular_ts_1.Field)(CURVE.n, c.nBitLength, true);
-    const curveOpts = { Fp, Fn, uvRatio: c.uvRatio };
-    const eddsaOpts = {
-        randomBytes: c.randomBytes,
-        adjustScalarBytes: c.adjustScalarBytes,
-        domain: c.domain,
-        prehash: c.prehash,
-        mapToCurve: c.mapToCurve,
-    };
-    return { CURVE, curveOpts, hash: c.hash, eddsaOpts };
-}
-function _eddsa_new_output_to_legacy(c, eddsa) {
-    const Point = eddsa.Point;
-    const legacy = Object.assign({}, eddsa, {
-        ExtendedPoint: Point,
-        CURVE: c,
-        nBitLength: Point.Fn.BITS,
-        nByteLength: Point.Fn.BYTES,
-    });
-    return legacy;
-}
-// TODO: remove. Use eddsa
-function twistedEdwards(c) {
-    const { CURVE, curveOpts, hash, eddsaOpts } = _eddsa_legacy_opts_to_new(c);
-    const Point = edwards(CURVE, curveOpts);
-    const EDDSA = eddsa(Point, hash, eddsaOpts);
-    return _eddsa_new_output_to_legacy(c, EDDSA);
-}
 //# sourceMappingURL=edwards.js.map

abstract/edwards.js.map

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abstract/fft.js

@@ -1,13 +0,1 @@
-"use strict";
-Object.defineProperty(exports, "__esModule", { value: true });
-exports.FFTCore = void 0;
-exports.isPowerOfTwo = isPowerOfTwo;
-exports.nextPowerOfTwo = nextPowerOfTwo;
-exports.reverseBits = reverseBits;
-exports.log2 = log2;
-exports.bitReversalInplace = bitReversalInplace;
-exports.bitReversalPermutation = bitReversalPermutation;
-exports.rootsOfUnity = rootsOfUnity;
-exports.FFT = FFT;
-exports.poly = poly;
 function checkU32(n) {
@@ -20,7 +8,7 @@ // 0xff_ff_ff_ff
 /** Checks if integer is in form of `1 << X` */
-function isPowerOfTwo(x) {
+export function isPowerOfTwo(x) {
     checkU32(x);
     return (x & (x - 1)) === 0 && x !== 0;
 }
-function nextPowerOfTwo(n) {
+export function nextPowerOfTwo(n) {
     checkU32(n);
@@ -31,3 +19,3 @@ if (n <= 1)
 }
-function reverseBits(n, bits) {
+export function reverseBits(n, bits) {
     checkU32(n);
@@ -40,3 +28,3 @@ let reversed = 0;
 /** Similar to `bitLen(x)-1` but much faster for small integers, like indices */
-function log2(n) {
+export function log2(n) {
     checkU32(n);
@@ -50,3 +38,3 @@ return 31 - Math.clz32(n);
  */
-function bitReversalInplace(values) {
+export function bitReversalInplace(values) {
     const n = values.length;
@@ -66,3 +54,3 @@ if (n < 2 || !isPowerOfTwo(n))
 }
-function bitReversalPermutation(values) {
+export function bitReversalPermutation(values) {
     return bitReversalInplace(values.slice());
@@ -78,3 +66,3 @@ }
 /** We limit roots up to 2**31, which is a lot: 2-billion polynomimal should be rare. */
-function rootsOfUnity(field, generator) {
+export function rootsOfUnity(field, generator) {
     // Factor field.ORDER-1 as oddFactor * 2^powerOfTwo
@@ -164,3 +152,3 @@ let oddFactor = field.ORDER - _1n;
  */
-const FFTCore = (F, coreOpts) => {
+export const FFTCore = (F, coreOpts) => {
     const { N, roots, dit, invertButterflies = false, skipStages = 0, brp = true } = coreOpts;
@@ -215,3 +203,2 @@ const bits = log2(N);
 };
-exports.FFTCore = FFTCore;
 /**
@@ -221,13 +208,13 @@ * NTT aka FFT over finite field (NOT over complex numbers).
  */
-function FFT(roots, opts) {
+export function FFT(roots, opts) {
     const getLoop = (N, roots, brpInput = false, brpOutput = false) => {
         if (brpInput && brpOutput) {
             // we cannot optimize this case, but lets support it anyway
-            return (values) => (0, exports.FFTCore)(opts, { N, roots, dit: false, brp: false })(bitReversalInplace(values));
+            return (values) => FFTCore(opts, { N, roots, dit: false, brp: false })(bitReversalInplace(values));
         }
         if (brpInput)
-            return (0, exports.FFTCore)(opts, { N, roots, dit: true, brp: false });
+            return FFTCore(opts, { N, roots, dit: true, brp: false });
         if (brpOutput)
-            return (0, exports.FFTCore)(opts, { N, roots, dit: false, brp: false });
-        return (0, exports.FFTCore)(opts, { N, roots, dit: true, brp: true }); // all natural
+            return FFTCore(opts, { N, roots, dit: false, brp: false });
+        return FFTCore(opts, { N, roots, dit: true, brp: true }); // all natural
     };
@@ -257,3 +244,3 @@ return {
 }
-function poly(field, roots, create, fft, length) {
+export function poly(field, roots, create, fft, length) {
     const F = field;
@@ -260,0 +247,0 @@ const _create = create ||

abstract/fft.js.map

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abstract/hash-to-curve.d.ts

@@ -9,3 +9,3 @@ /**
 import type { CHash } from '../utils.ts';
-import type { AffinePoint, Group, GroupConstructor } from './curve.ts';
+import type { AffinePoint, PC_ANY, PC_F, PC_P } from './curve.ts';
 import { type IField } from './modular.ts';
@@ -33,3 +33,2 @@ export type UnicodeOrBytes = string | Uint8Array;
 };
-export type Opts = H2COpts;
 /**
@@ -63,12 +62,2 @@ * Produces a uniformly random byte string using a cryptographic hash function H that outputs b bits.
 export declare function isogenyMap<T, F extends IField<T>>(field: F, map: XYRatio<T>): XY<T>;
-/** Point interface, which curves must implement to work correctly with the module. */
-export interface H2CPoint<T> extends Group<H2CPoint<T>> {
-    add(rhs: H2CPoint<T>): H2CPoint<T>;
-    toAffine(iz?: bigint): AffinePoint<T>;
-    clearCofactor(): H2CPoint<T>;
-    assertValidity(): void;
-}
-export interface H2CPointConstructor<T> extends GroupConstructor<H2CPoint<T>> {
-    fromAffine(ap: AffinePoint<T>): H2CPoint<T>;
-}
 export type MapToCurve<T> = (scalar: bigint[]) => AffinePoint<T>;
@@ -78,8 +67,6 @@ export type htfBasicOpts = {
 };
-export type H2CMethod<T> = (msg: Uint8Array, options?: htfBasicOpts) => H2CPoint<T>;
-export type HTFMethod<T> = H2CMethod<T>;
-export type MapMethod<T> = (scalars: bigint[]) => H2CPoint<T>;
-export type H2CHasherBase<T> = {
-    hashToCurve: H2CMethod<T>;
-    hashToScalar: (msg: Uint8Array, options: htfBasicOpts) => bigint;
+export type H2CMethod<P> = (msg: Uint8Array, options?: htfBasicOpts) => P;
+export type H2CHasherBase<P> = {
+    hashToCurve: H2CMethod<P>;
+    hashToScalar: (msg: Uint8Array, options?: htfBasicOpts) => bigint;
 };
@@ -93,5 +80,6 @@ /**
  */
-export type H2CHasher<T> = H2CHasherBase<T> & {
-    encodeToCurve: H2CMethod<T>;
-    mapToCurve: MapMethod<T>;
+export type H2CHasher<PC extends PC_ANY> = H2CHasherBase<PC_P<PC>> & {
+    Point: PC;
+    encodeToCurve: H2CMethod<PC_P<PC>>;
+    mapToCurve: MapToCurve<PC_F<PC>>;
     defaults: H2COpts & {
@@ -101,8 +89,7 @@ encodeDST?: UnicodeOrBytes;
 };
-export type Hasher<T> = H2CHasher<T>;
 export declare const _DST_scalar: Uint8Array;
 /** Creates hash-to-curve methods from EC Point and mapToCurve function. See {@link H2CHasher}. */
-export declare function createHasher<T>(Point: H2CPointConstructor<T>, mapToCurve: MapToCurve<T>, defaults: H2COpts & {
+export declare function createHasher<PC extends PC_ANY>(Point: PC, mapToCurve: MapToCurve<PC_F<PC>>, defaults: H2COpts & {
     encodeDST?: UnicodeOrBytes;
-}): H2CHasher<T>;
+}): H2CHasher<PC>;
 //# sourceMappingURL=hash-to-curve.d.ts.map

abstract/hash-to-curve.d.ts.map

@@ -1,1 +0,1 @@
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abstract/hash-to-curve.js

@@ -1,13 +0,5 @@
-"use strict";
-Object.defineProperty(exports, "__esModule", { value: true });
-exports._DST_scalar = void 0;
-exports.expand_message_xmd = expand_message_xmd;
-exports.expand_message_xof = expand_message_xof;
-exports.hash_to_field = hash_to_field;
-exports.isogenyMap = isogenyMap;
-exports.createHasher = createHasher;
-const utils_ts_1 = require("../utils.js");
-const modular_ts_1 = require("./modular.js");
+import { _validateObject, abytes, asciiToBytes, bytesToNumberBE, concatBytes, isBytes, isHash, } from "../utils.js";
+import { FpInvertBatch, mod } from "./modular.js";
 // Octet Stream to Integer. "spec" implementation of os2ip is 2.5x slower vs bytesToNumberBE.
-const os2ip = utils_ts_1.bytesToNumberBE;
+const os2ip = bytesToNumberBE;
 // Integer to Octet Stream (numberToBytesBE)
@@ -37,6 +29,8 @@ function i2osp(value, length) {
 }
+// User can always use utf8 if they want, by passing Uint8Array.
+// If string is passed, we treat it as ASCII: other formats are likely a mistake.
 function normDST(DST) {
-    if (!(0, utils_ts_1.isBytes)(DST) && typeof DST !== 'string')
-        throw new Error('DST must be Uint8Array or string');
-    return typeof DST === 'string' ? (0, utils_ts_1.utf8ToBytes)(DST) : DST;
+    if (!isBytes(DST) && typeof DST !== 'string')
+        throw new Error('DST must be Uint8Array or ascii string');
+    return typeof DST === 'string' ? asciiToBytes(DST) : DST;
 }
@@ -47,4 +41,4 @@ /**
  */
-function expand_message_xmd(msg, DST, lenInBytes, H) {
-    (0, utils_ts_1.abytes)(msg);
+export function expand_message_xmd(msg, DST, lenInBytes, H) {
+    abytes(msg);
     anum(lenInBytes);
@@ -54,3 +48,3 @@ DST = normDST(DST);
     if (DST.length > 255)
-        DST = H((0, utils_ts_1.concatBytes)((0, utils_ts_1.utf8ToBytes)('H2C-OVERSIZE-DST-'), DST));
+        DST = H(concatBytes(asciiToBytes('H2C-OVERSIZE-DST-'), DST));
     const { outputLen: b_in_bytes, blockLen: r_in_bytes } = H;
@@ -60,13 +54,13 @@ const ell = Math.ceil(lenInBytes / b_in_bytes);
         throw new Error('expand_message_xmd: invalid lenInBytes');
-    const DST_prime = (0, utils_ts_1.concatBytes)(DST, i2osp(DST.length, 1));
+    const DST_prime = concatBytes(DST, i2osp(DST.length, 1));
     const Z_pad = i2osp(0, r_in_bytes);
     const l_i_b_str = i2osp(lenInBytes, 2); // len_in_bytes_str
     const b = new Array(ell);
-    const b_0 = H((0, utils_ts_1.concatBytes)(Z_pad, msg, l_i_b_str, i2osp(0, 1), DST_prime));
-    b[0] = H((0, utils_ts_1.concatBytes)(b_0, i2osp(1, 1), DST_prime));
+    const b_0 = H(concatBytes(Z_pad, msg, l_i_b_str, i2osp(0, 1), DST_prime));
+    b[0] = H(concatBytes(b_0, i2osp(1, 1), DST_prime));
     for (let i = 1; i <= ell; i++) {
         const args = [strxor(b_0, b[i - 1]), i2osp(i + 1, 1), DST_prime];
-        b[i] = H((0, utils_ts_1.concatBytes)(...args));
+        b[i] = H(concatBytes(...args));
     }
-    const pseudo_random_bytes = (0, utils_ts_1.concatBytes)(...b);
+    const pseudo_random_bytes = concatBytes(...b);
     return pseudo_random_bytes.slice(0, lenInBytes);
@@ -81,4 +75,4 @@ }
  */
-function expand_message_xof(msg, DST, lenInBytes, k, H) {
-    (0, utils_ts_1.abytes)(msg);
+export function expand_message_xof(msg, DST, lenInBytes, k, H) {
+    abytes(msg);
     anum(lenInBytes);
@@ -90,3 +84,3 @@ DST = normDST(DST);
         const dkLen = Math.ceil((2 * k) / 8);
-        DST = H.create({ dkLen }).update((0, utils_ts_1.utf8ToBytes)('H2C-OVERSIZE-DST-')).update(DST).digest();
+        DST = H.create({ dkLen }).update(asciiToBytes('H2C-OVERSIZE-DST-')).update(DST).digest();
     }
@@ -111,4 +105,4 @@ if (lenInBytes > 65535 || DST.length > 255)
  */
-function hash_to_field(msg, count, options) {
-    (0, utils_ts_1._validateObject)(options, {
+export function hash_to_field(msg, count, options) {
+    _validateObject(options, {
         p: 'bigint',
@@ -120,5 +114,5 @@ m: 'number',
     const { p, k, m, hash, expand, DST } = options;
-    if (!(0, utils_ts_1.isHash)(options.hash))
+    if (!isHash(options.hash))
         throw new Error('expected valid hash');
-    (0, utils_ts_1.abytes)(msg);
+    abytes(msg);
     anum(count);
@@ -148,3 +142,3 @@ const log2p = p.toString(2).length;
             const tv = prb.subarray(elm_offset, elm_offset + L);
-            e[j] = (0, modular_ts_1.mod)(os2ip(tv), p);
+            e[j] = mod(os2ip(tv), p);
         }
@@ -155,3 +149,3 @@ u[i] = e;
 }
-function isogenyMap(field, map) {
+export function isogenyMap(field, map) {
     // Make same order as in spec
@@ -165,3 +159,3 @@ const coeff = map.map((i) => Array.from(i).reverse());
         // the identity point on E.
-        const [xd_inv, yd_inv] = (0, modular_ts_1.FpInvertBatch)(field, [xd, yd], true);
+        const [xd_inv, yd_inv] = FpInvertBatch(field, [xd, yd], true);
         x = field.mul(xn, xd_inv); // xNum / xDen
@@ -172,5 +166,5 @@ y = field.mul(y, field.mul(yn, yd_inv)); // y * (yNum / yDev)
 }
-exports._DST_scalar = (0, utils_ts_1.utf8ToBytes)('HashToScalar-');
+export const _DST_scalar = asciiToBytes('HashToScalar-');
 /** Creates hash-to-curve methods from EC Point and mapToCurve function. See {@link H2CHasher}. */
-function createHasher(Point, mapToCurve, defaults) {
+export function createHasher(Point, mapToCurve, defaults) {
     if (typeof mapToCurve !== 'function')
@@ -190,2 +184,3 @@ throw new Error('mapToCurve() must be defined');
         defaults,
+        Point,
         hashToCurve(msg, options) {
@@ -219,3 +214,3 @@ const opts = Object.assign({}, defaults, options);
             const N = Point.Fn.ORDER;
-            const opts = Object.assign({}, defaults, { p: N, m: 1, DST: exports._DST_scalar }, options);
+            const opts = Object.assign({}, defaults, { p: N, m: 1, DST: _DST_scalar }, options);
             return hash_to_field(msg, 1, opts)[0][0];
@@ -222,0 +217,0 @@ },

abstract/hash-to-curve.js.map

@@ -1,1 +0,1 @@
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abstract/modular.d.ts

@@ -40,6 +40,5 @@ export declare function mod(a: bigint, b: bigint): bigint;
     ORDER: bigint;
-    isLE: boolean;
     BYTES: number;
     BITS: number;
-    MASK: bigint;
+    isLE: boolean;
     ZERO: T;
@@ -66,3 +65,2 @@ ONE: T;
     isOdd?(num: T): boolean;
-    allowedLengths?: number[];
     invertBatch: (lst: T[]) => T[];
@@ -105,7 +103,7 @@ toBytes(num: T): Uint8Array;
 type FieldOpts = Partial<{
-    sqrt: SqrtFn;
     isLE: boolean;
     BITS: number;
+    sqrt: SqrtFn;
+    allowedLengths?: readonly number[];
     modFromBytes: boolean;
-    allowedLengths?: readonly number[];
 }>;
@@ -131,16 +129,6 @@ /**
  */
-export declare function Field(ORDER: bigint, bitLenOrOpts?: number | FieldOpts, // TODO: use opts only in v2?
-isLE?: boolean, opts?: {
-    sqrt?: SqrtFn;
-}): Readonly<FpField>;
+export declare function Field(ORDER: bigint, opts?: FieldOpts): Readonly<FpField>;
 export declare function FpSqrtOdd<T>(Fp: IField<T>, elm: T): T;
 export declare function FpSqrtEven<T>(Fp: IField<T>, elm: T): T;
 /**
- * "Constant-time" private key generation utility.
- * Same as mapKeyToField, but accepts less bytes (40 instead of 48 for 32-byte field).
- * Which makes it slightly more biased, less secure.
- * @deprecated use `mapKeyToField` instead
- */
-export declare function hashToPrivateScalar(hash: string | Uint8Array, groupOrder: bigint, isLE?: boolean): bigint;
-/**
  * Returns total number of bytes consumed by the field element.
@@ -169,3 +157,3 @@ * For example, 32 bytes for usual 256-bit weierstrass curve.
  * @param hash hash output from SHA3 or a similar function
- * @param groupOrder size of subgroup - (e.g. secp256k1.CURVE.n)
+ * @param groupOrder size of subgroup - (e.g. secp256k1.Point.Fn.ORDER)
  * @param isLE interpret hash bytes as LE num
@@ -172,0 +160,0 @@ * @returns valid private scalar

abstract/modular.d.ts.map

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abstract/modular.js

@@ -1,24 +0,1 @@
-"use strict";
-Object.defineProperty(exports, "__esModule", { value: true });
-exports.isNegativeLE = void 0;
-exports.mod = mod;
-exports.pow = pow;
-exports.pow2 = pow2;
-exports.invert = invert;
-exports.tonelliShanks = tonelliShanks;
-exports.FpSqrt = FpSqrt;
-exports.validateField = validateField;
-exports.FpPow = FpPow;
-exports.FpInvertBatch = FpInvertBatch;
-exports.FpDiv = FpDiv;
-exports.FpLegendre = FpLegendre;
-exports.FpIsSquare = FpIsSquare;
-exports.nLength = nLength;
-exports.Field = Field;
-exports.FpSqrtOdd = FpSqrtOdd;
-exports.FpSqrtEven = FpSqrtEven;
-exports.hashToPrivateScalar = hashToPrivateScalar;
-exports.getFieldBytesLength = getFieldBytesLength;
-exports.getMinHashLength = getMinHashLength;
-exports.mapHashToField = mapHashToField;
 /**
@@ -31,5 +8,5 @@ * Utils for modular division and fields.
 /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-const utils_ts_1 = require("../utils.js");
+import { _validateObject, abytes, anumber, bytesToNumberBE, bytesToNumberLE, numberToBytesBE, numberToBytesLE, } from "../utils.js";
 // prettier-ignore
-const _0n = BigInt(0), _1n = BigInt(1), _2n = /* @__PURE__ */ BigInt(2), _3n = /* @__PURE__ */ BigInt(3);
+const _0n = BigInt(0), _1n = /* @__PURE__ */ BigInt(1), _2n = /* @__PURE__ */ BigInt(2), _3n = /* @__PURE__ */ BigInt(3);
 // prettier-ignore
@@ -40,3 +17,3 @@ const _4n = /* @__PURE__ */ BigInt(4), _5n = /* @__PURE__ */ BigInt(5), _7n = /* @__PURE__ */ BigInt(7);
 // Calculates a modulo b
-function mod(a, b) {
+export function mod(a, b) {
     const result = a % b;
@@ -51,7 +28,7 @@ return result >= _0n ? result : b + result;
  */
-function pow(num, power, modulo) {
+export function pow(num, power, modulo) {
     return FpPow(Field(modulo), num, power);
 }
 /** Does `x^(2^power)` mod p. `pow2(30, 4)` == `30^(2^4)` */
-function pow2(x, power, modulo) {
+export function pow2(x, power, modulo) {
     let res = x;
@@ -68,3 +45,3 @@ while (power-- > _0n) {
  */
-function invert(number, modulo) {
+export function invert(number, modulo) {
     if (number === _0n)
@@ -148,3 +125,3 @@ throw new Error('invert: expected non-zero number');
  */
-function tonelliShanks(P) {
+export function tonelliShanks(P) {
     // Initialization (precomputation).
@@ -225,3 +202,3 @@ // Caching initialization could boost perf by 7%.
  */
-function FpSqrt(P) {
+export function FpSqrt(P) {
     // P ≡ 3 (mod 4) => √n = n^((P+1)/4)
@@ -240,4 +217,3 @@ if (P % _4n === _3n)
 // Little-endian check for first LE bit (last BE bit);
-const isNegativeLE = (num, modulo) => (mod(num, modulo) & _1n) === _1n;
-exports.isNegativeLE = isNegativeLE;
+export const isNegativeLE = (num, modulo) => (mod(num, modulo) & _1n) === _1n;
 // prettier-ignore
@@ -249,6 +225,5 @@ const FIELD_FIELDS = [
 ];
-function validateField(field) {
+export function validateField(field) {
     const initial = {
         ORDER: 'bigint',
-        MASK: 'bigint',
         BYTES: 'number',
@@ -261,3 +236,3 @@ BITS: 'number',
     }, initial);
-    (0, utils_ts_1._validateObject)(field, opts);
+    _validateObject(field, opts);
     // const max = 16384;
@@ -273,3 +248,3 @@ // if (field.BYTES < 1 || field.BYTES > max) throw new Error('invalid field');
  */
-function FpPow(Fp, num, power) {
+export function FpPow(Fp, num, power) {
     if (power < _0n)
@@ -296,3 +271,3 @@ throw new Error('invalid exponent, negatives unsupported');
  */
-function FpInvertBatch(Fp, nums, passZero = false) {
+export function FpInvertBatch(Fp, nums, passZero = false) {
     const inverted = new Array(nums.length).fill(passZero ? Fp.ZERO : undefined);
@@ -318,3 +293,3 @@ // Walk from first to last, multiply them by each other MOD p
 // TODO: remove
-function FpDiv(Fp, lhs, rhs) {
+export function FpDiv(Fp, lhs, rhs) {
     return Fp.mul(lhs, typeof rhs === 'bigint' ? invert(rhs, Fp.ORDER) : Fp.inv(rhs));
@@ -331,3 +306,3 @@ }
  */
-function FpLegendre(Fp, n) {
+export function FpLegendre(Fp, n) {
     // We can use 3rd argument as optional cache of this value
@@ -345,3 +320,3 @@ // but seems unneeded for now. The operation is very fast.
 // This function returns True whenever the value x is a square in the field F.
-function FpIsSquare(Fp, n) {
+export function FpIsSquare(Fp, n) {
     const l = FpLegendre(Fp, n);
@@ -351,6 +326,6 @@ return l === 1;
 // CURVE.n lengths
-function nLength(n, nBitLength) {
+export function nLength(n, nBitLength) {
     // Bit size, byte size of CURVE.n
     if (nBitLength !== undefined)
-        (0, utils_ts_1.anumber)(nBitLength);
+        anumber(nBitLength);
     const _nBitLength = nBitLength !== undefined ? nBitLength : n.toString(2).length;
@@ -360,2 +335,139 @@ const nByteLength = Math.ceil(_nBitLength / 8);
 }
+class _Field {
+    ORDER;
+    BITS;
+    BYTES;
+    isLE;
+    ZERO = _0n;
+    ONE = _1n;
+    _lengths;
+    _sqrt; // cached sqrt
+    _mod;
+    constructor(ORDER, opts = {}) {
+        if (ORDER <= _0n)
+            throw new Error('invalid field: expected ORDER > 0, got ' + ORDER);
+        let _nbitLength = undefined;
+        this.isLE = false;
+        if (opts != null && typeof opts === 'object') {
+            if (typeof opts.BITS === 'number')
+                _nbitLength = opts.BITS;
+            if (typeof opts.sqrt === 'function')
+                this.sqrt = opts.sqrt;
+            if (typeof opts.isLE === 'boolean')
+                this.isLE = opts.isLE;
+            if (opts.allowedLengths)
+                this._lengths = opts.allowedLengths?.slice();
+            if (typeof opts.modFromBytes === 'boolean')
+                this._mod = opts.modFromBytes;
+        }
+        const { nBitLength, nByteLength } = nLength(ORDER, _nbitLength);
+        if (nByteLength > 2048)
+            throw new Error('invalid field: expected ORDER of <= 2048 bytes');
+        this.ORDER = ORDER;
+        this.BITS = nBitLength;
+        this.BYTES = nByteLength;
+        this._sqrt = undefined;
+        Object.preventExtensions(this);
+    }
+    create(num) {
+        return mod(num, this.ORDER);
+    }
+    isValid(num) {
+        if (typeof num !== 'bigint')
+            throw new Error('invalid field element: expected bigint, got ' + typeof num);
+        return _0n <= num && num < this.ORDER; // 0 is valid element, but it's not invertible
+    }
+    is0(num) {
+        return num === _0n;
+    }
+    // is valid and invertible
+    isValidNot0(num) {
+        return !this.is0(num) && this.isValid(num);
+    }
+    isOdd(num) {
+        return (num & _1n) === _1n;
+    }
+    neg(num) {
+        return mod(-num, this.ORDER);
+    }
+    eql(lhs, rhs) {
+        return lhs === rhs;
+    }
+    sqr(num) {
+        return mod(num * num, this.ORDER);
+    }
+    add(lhs, rhs) {
+        return mod(lhs + rhs, this.ORDER);
+    }
+    sub(lhs, rhs) {
+        return mod(lhs - rhs, this.ORDER);
+    }
+    mul(lhs, rhs) {
+        return mod(lhs * rhs, this.ORDER);
+    }
+    pow(num, power) {
+        return FpPow(this, num, power);
+    }
+    div(lhs, rhs) {
+        return mod(lhs * invert(rhs, this.ORDER), this.ORDER);
+    }
+    // Same as above, but doesn't normalize
+    sqrN(num) {
+        return num * num;
+    }
+    addN(lhs, rhs) {
+        return lhs + rhs;
+    }
+    subN(lhs, rhs) {
+        return lhs - rhs;
+    }
+    mulN(lhs, rhs) {
+        return lhs * rhs;
+    }
+    inv(num) {
+        return invert(num, this.ORDER);
+    }
+    sqrt(num) {
+        // Caching _sqrt speeds up sqrt9mod16 by 5x and tonneli-shanks by 10%
+        if (!this._sqrt)
+            this._sqrt = FpSqrt(this.ORDER);
+        return this._sqrt(this, num);
+    }
+    toBytes(num) {
+        return this.isLE ? numberToBytesLE(num, this.BYTES) : numberToBytesBE(num, this.BYTES);
+    }
+    fromBytes(bytes, skipValidation = false) {
+        abytes(bytes);
+        const { _lengths: allowedLengths, BYTES, isLE, ORDER, _mod: modFromBytes } = this;
+        if (allowedLengths) {
+            if (!allowedLengths.includes(bytes.length) || bytes.length > BYTES) {
+                throw new Error('Field.fromBytes: expected ' + allowedLengths + ' bytes, got ' + bytes.length);
+            }
+            const padded = new Uint8Array(BYTES);
+            // isLE add 0 to right, !isLE to the left.
+            padded.set(bytes, isLE ? 0 : padded.length - bytes.length);
+            bytes = padded;
+        }
+        if (bytes.length !== BYTES)
+            throw new Error('Field.fromBytes: expected ' + BYTES + ' bytes, got ' + bytes.length);
+        let scalar = isLE ? bytesToNumberLE(bytes) : bytesToNumberBE(bytes);
+        if (modFromBytes)
+            scalar = mod(scalar, ORDER);
+        if (!skipValidation)
+            if (!this.isValid(scalar))
+                throw new Error('invalid field element: outside of range 0..ORDER');
+        // NOTE: we don't validate scalar here, please use isValid. This done such way because some
+        // protocol may allow non-reduced scalar that reduced later or changed some other way.
+        return scalar;
+    }
+    // TODO: we don't need it here, move out to separate fn
+    invertBatch(lst) {
+        return FpInvertBatch(this, lst);
+    }
+    // We can't move this out because Fp6, Fp12 implement it
+    // and it's unclear what to return in there.
+    cmov(a, b, condition) {
+        return condition ? b : a;
+    }
+}
 /**
@@ -380,103 +492,4 @@ * Creates a finite field. Major performance optimizations:
  */
-function Field(ORDER, bitLenOrOpts, // TODO: use opts only in v2?
-isLE = false, opts = {}) {
-    if (ORDER <= _0n)
-        throw new Error('invalid field: expected ORDER > 0, got ' + ORDER);
-    let _nbitLength = undefined;
-    let _sqrt = undefined;
-    let modFromBytes = false;
-    let allowedLengths = undefined;
-    if (typeof bitLenOrOpts === 'object' && bitLenOrOpts != null) {
-        if (opts.sqrt || isLE)
-            throw new Error('cannot specify opts in two arguments');
-        const _opts = bitLenOrOpts;
-        if (_opts.BITS)
-            _nbitLength = _opts.BITS;
-        if (_opts.sqrt)
-            _sqrt = _opts.sqrt;
-        if (typeof _opts.isLE === 'boolean')
-            isLE = _opts.isLE;
-        if (typeof _opts.modFromBytes === 'boolean')
-            modFromBytes = _opts.modFromBytes;
-        allowedLengths = _opts.allowedLengths;
-    }
-    else {
-        if (typeof bitLenOrOpts === 'number')
-            _nbitLength = bitLenOrOpts;
-        if (opts.sqrt)
-            _sqrt = opts.sqrt;
-    }
-    const { nBitLength: BITS, nByteLength: BYTES } = nLength(ORDER, _nbitLength);
-    if (BYTES > 2048)
-        throw new Error('invalid field: expected ORDER of <= 2048 bytes');
-    let sqrtP; // cached sqrtP
-    const f = Object.freeze({
-        ORDER,
-        isLE,
-        BITS,
-        BYTES,
-        MASK: (0, utils_ts_1.bitMask)(BITS),
-        ZERO: _0n,
-        ONE: _1n,
-        allowedLengths: allowedLengths,
-        create: (num) => mod(num, ORDER),
-        isValid: (num) => {
-            if (typeof num !== 'bigint')
-                throw new Error('invalid field element: expected bigint, got ' + typeof num);
-            return _0n <= num && num < ORDER; // 0 is valid element, but it's not invertible
-        },
-        is0: (num) => num === _0n,
-        // is valid and invertible
-        isValidNot0: (num) => !f.is0(num) && f.isValid(num),
-        isOdd: (num) => (num & _1n) === _1n,
-        neg: (num) => mod(-num, ORDER),
-        eql: (lhs, rhs) => lhs === rhs,
-        sqr: (num) => mod(num * num, ORDER),
-        add: (lhs, rhs) => mod(lhs + rhs, ORDER),
-        sub: (lhs, rhs) => mod(lhs - rhs, ORDER),
-        mul: (lhs, rhs) => mod(lhs * rhs, ORDER),
-        pow: (num, power) => FpPow(f, num, power),
-        div: (lhs, rhs) => mod(lhs * invert(rhs, ORDER), ORDER),
-        // Same as above, but doesn't normalize
-        sqrN: (num) => num * num,
-        addN: (lhs, rhs) => lhs + rhs,
-        subN: (lhs, rhs) => lhs - rhs,
-        mulN: (lhs, rhs) => lhs * rhs,
-        inv: (num) => invert(num, ORDER),
-        sqrt: _sqrt ||
-            ((n) => {
-                if (!sqrtP)
-                    sqrtP = FpSqrt(ORDER);
-                return sqrtP(f, n);
-            }),
-        toBytes: (num) => (isLE ? (0, utils_ts_1.numberToBytesLE)(num, BYTES) : (0, utils_ts_1.numberToBytesBE)(num, BYTES)),
-        fromBytes: (bytes, skipValidation = true) => {
-            if (allowedLengths) {
-                if (!allowedLengths.includes(bytes.length) || bytes.length > BYTES) {
-                    throw new Error('Field.fromBytes: expected ' + allowedLengths + ' bytes, got ' + bytes.length);
-                }
-                const padded = new Uint8Array(BYTES);
-                // isLE add 0 to right, !isLE to the left.
-                padded.set(bytes, isLE ? 0 : padded.length - bytes.length);
-                bytes = padded;
-            }
-            if (bytes.length !== BYTES)
-                throw new Error('Field.fromBytes: expected ' + BYTES + ' bytes, got ' + bytes.length);
-            let scalar = isLE ? (0, utils_ts_1.bytesToNumberLE)(bytes) : (0, utils_ts_1.bytesToNumberBE)(bytes);
-            if (modFromBytes)
-                scalar = mod(scalar, ORDER);
-            if (!skipValidation)
-                if (!f.isValid(scalar))
-                    throw new Error('invalid field element: outside of range 0..ORDER');
-            // NOTE: we don't validate scalar here, please use isValid. This done such way because some
-            // protocol may allow non-reduced scalar that reduced later or changed some other way.
-            return scalar;
-        },
-        // TODO: we don't need it here, move out to separate fn
-        invertBatch: (lst) => FpInvertBatch(f, lst),
-        // We can't move this out because Fp6, Fp12 implement it
-        // and it's unclear what to return in there.
-        cmov: (a, b, c) => (c ? b : a),
-    });
-    return Object.freeze(f);
+export function Field(ORDER, opts = {}) {
+    return new _Field(ORDER, opts);
 }
@@ -496,3 +509,3 @@ // Generic random scalar, we can do same for other fields if via Fp2.mul(Fp2.ONE, Fp2.random)?
 // },
-function FpSqrtOdd(Fp, elm) {
+export function FpSqrtOdd(Fp, elm) {
     if (!Fp.isOdd)
@@ -503,3 +516,3 @@ throw new Error("Field doesn't have isOdd");
 }
-function FpSqrtEven(Fp, elm) {
+export function FpSqrtEven(Fp, elm) {
     if (!Fp.isOdd)
@@ -511,17 +524,2 @@ throw new Error("Field doesn't have isOdd");
 /**
- * "Constant-time" private key generation utility.
- * Same as mapKeyToField, but accepts less bytes (40 instead of 48 for 32-byte field).
- * Which makes it slightly more biased, less secure.
- * @deprecated use `mapKeyToField` instead
- */
-function hashToPrivateScalar(hash, groupOrder, isLE = false) {
-    hash = (0, utils_ts_1.ensureBytes)('privateHash', hash);
-    const hashLen = hash.length;
-    const minLen = nLength(groupOrder).nByteLength + 8;
-    if (minLen < 24 || hashLen < minLen || hashLen > 1024)
-        throw new Error('hashToPrivateScalar: expected ' + minLen + '-1024 bytes of input, got ' + hashLen);
-    const num = isLE ? (0, utils_ts_1.bytesToNumberLE)(hash) : (0, utils_ts_1.bytesToNumberBE)(hash);
-    return mod(num, groupOrder - _1n) + _1n;
-}
-/**
  * Returns total number of bytes consumed by the field element.
@@ -532,3 +530,3 @@ * For example, 32 bytes for usual 256-bit weierstrass curve.
  */
-function getFieldBytesLength(fieldOrder) {
+export function getFieldBytesLength(fieldOrder) {
     if (typeof fieldOrder !== 'bigint')
@@ -546,3 +544,3 @@ throw new Error('field order must be bigint');
  */
-function getMinHashLength(fieldOrder) {
+export function getMinHashLength(fieldOrder) {
     const length = getFieldBytesLength(fieldOrder);
@@ -560,7 +558,8 @@ return length + Math.ceil(length / 2);
  * @param hash hash output from SHA3 or a similar function
- * @param groupOrder size of subgroup - (e.g. secp256k1.CURVE.n)
+ * @param groupOrder size of subgroup - (e.g. secp256k1.Point.Fn.ORDER)
  * @param isLE interpret hash bytes as LE num
  * @returns valid private scalar
  */
-function mapHashToField(key, fieldOrder, isLE = false) {
+export function mapHashToField(key, fieldOrder, isLE = false) {
+    abytes(key);
     const len = key.length;
@@ -572,7 +571,7 @@ const fieldLen = getFieldBytesLength(fieldOrder);
         throw new Error('expected ' + minLen + '-1024 bytes of input, got ' + len);
-    const num = isLE ? (0, utils_ts_1.bytesToNumberLE)(key) : (0, utils_ts_1.bytesToNumberBE)(key);
+    const num = isLE ? bytesToNumberLE(key) : bytesToNumberBE(key);
     // `mod(x, 11)` can sometimes produce 0. `mod(x, 10) + 1` is the same, but no 0
     const reduced = mod(num, fieldOrder - _1n) + _1n;
-    return isLE ? (0, utils_ts_1.numberToBytesLE)(reduced, fieldLen) : (0, utils_ts_1.numberToBytesBE)(reduced, fieldLen);
+    return isLE ? numberToBytesLE(reduced, fieldLen) : numberToBytesBE(reduced, fieldLen);
 }
 //# sourceMappingURL=modular.js.map

abstract/modular.js.map

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abstract/montgomery.d.ts

 import type { CurveLengths } from './curve.ts';
-type Hex = string | Uint8Array;
 export type CurveType = {
@@ -11,10 +10,8 @@ P: bigint;
 export type MontgomeryECDH = {
-    scalarMult: (scalar: Hex, u: Hex) => Uint8Array;
-    scalarMultBase: (scalar: Hex) => Uint8Array;
-    getSharedSecret: (secretKeyA: Hex, publicKeyB: Hex) => Uint8Array;
-    getPublicKey: (secretKey: Hex) => Uint8Array;
+    scalarMult: (scalar: Uint8Array, u: Uint8Array) => Uint8Array;
+    scalarMultBase: (scalar: Uint8Array) => Uint8Array;
+    getSharedSecret: (secretKeyA: Uint8Array, publicKeyB: Uint8Array) => Uint8Array;
+    getPublicKey: (secretKey: Uint8Array) => Uint8Array;
     utils: {
         randomSecretKey: () => Uint8Array;
-        /** @deprecated use `randomSecretKey` */
-        randomPrivateKey: () => Uint8Array;
     };
@@ -28,5 +25,3 @@ GuBytes: Uint8Array;
 };
-export type CurveFn = MontgomeryECDH;
 export declare function montgomery(curveDef: CurveType): MontgomeryECDH;
-export {};
 //# sourceMappingURL=montgomery.d.ts.map

abstract/montgomery.d.ts.map

@@ -1,1 +0,1 @@
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+{"version":3,"file":"montgomery.d.ts","sourceRoot":"","sources":["../src/abstract/montgomery.ts"],"names":[],"mappings":"AAiBA,OAAO,KAAK,EAAE,YAAY,EAAE,MAAM,YAAY,CAAC;AAO/C,MAAM,MAAM,SAAS,GAAG;IACtB,CAAC,EAAE,MAAM,CAAC;IACV,IAAI,EAAE,QAAQ,GAAG,MAAM,CAAC;IACxB,iBAAiB,EAAE,CAAC,KAAK,EAAE,UAAU,KAAK,UAAU,CAAC;IACrD,UAAU,EAAE,CAAC,CAAC,EAAE,MAAM,KAAK,MAAM,CAAC;IAClC,WAAW,CAAC,EAAE,CAAC,WAAW,CAAC,EAAE,MAAM,KAAK,UAAU,CAAC;CACpD,CAAC;AAEF,MAAM,MAAM,cAAc,GAAG;IAC3B,UAAU,EAAE,CAAC,MAAM,EAAE,UAAU,EAAE,CAAC,EAAE,UAAU,KAAK,UAAU,CAAC;IAC9D,cAAc,EAAE,CAAC,MAAM,EAAE,UAAU,KAAK,UAAU,CAAC;IACnD,eAAe,EAAE,CAAC,UAAU,EAAE,UAAU,EAAE,UAAU,EAAE,UAAU,KAAK,UAAU,CAAC;IAChF,YAAY,EAAE,CAAC,SAAS,EAAE,UAAU,KAAK,UAAU,CAAC;IACpD,KAAK,EAAE;QACL,eAAe,EAAE,MAAM,UAAU,CAAC;KACnC,CAAC;IACF,OAAO,EAAE,UAAU,CAAC;IACpB,OAAO,EAAE,YAAY,CAAC;IACtB,MAAM,EAAE,CAAC,IAAI,CAAC,EAAE,UAAU,KAAK;QAAE,SAAS,EAAE,UAAU,CAAC;QAAC,SAAS,EAAE,UAAU,CAAA;KAAE,CAAC;CACjF,CAAC;AAUF,wBAAgB,UAAU,CAAC,QAAQ,EAAE,SAAS,GAAG,cAAc,CA2I9D"}

abstract/montgomery.js

@@ -1,4 +0,1 @@
-"use strict";
-Object.defineProperty(exports, "__esModule", { value: true });
-exports.montgomery = montgomery;
 /**
@@ -11,4 +8,4 @@ * Montgomery curve methods. It's not really whole montgomery curve,
 /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-const utils_ts_1 = require("../utils.js");
-const modular_ts_1 = require("./modular.js");
+import { _validateObject, abytes, aInRange, bytesToNumberLE, copyBytes, numberToBytesLE, randomBytes, } from "../utils.js";
+import { mod } from "./modular.js";
 const _0n = BigInt(0);
@@ -18,3 +15,3 @@ const _1n = BigInt(1);
 function validateOpts(curve) {
-    (0, utils_ts_1._validateObject)(curve, {
+    _validateObject(curve, {
         adjustScalarBytes: 'function',
@@ -25,3 +22,3 @@ powPminus2: 'function',
 }
-function montgomery(curveDef) {
+export function montgomery(curveDef) {
     const CURVE = validateOpts(curveDef);
@@ -32,3 +29,3 @@ const { P, type, adjustScalarBytes, powPminus2, randomBytes: rand } = CURVE;
         throw new Error('invalid type');
-    const randomBytes_ = rand || utils_ts_1.randomBytes;
+    const randomBytes_ = rand || randomBytes;
     const montgomeryBits = is25519 ? 255 : 448;
@@ -50,9 +47,9 @@ const fieldLen = is25519 ? 32 : 56;
     const maxScalar = minScalar + maxAdded + _1n; // (inclusive)
-    const modP = (n) => (0, modular_ts_1.mod)(n, P);
+    const modP = (n) => mod(n, P);
     const GuBytes = encodeU(Gu);
     function encodeU(u) {
-        return (0, utils_ts_1.numberToBytesLE)(modP(u), fieldLen);
+        return numberToBytesLE(modP(u), fieldLen);
     }
     function decodeU(u) {
-        const _u = (0, utils_ts_1.ensureBytes)('u coordinate', u, fieldLen);
+        const _u = copyBytes(abytes(u, fieldLen, 'uCoordinate'));
         // RFC: When receiving such an array, implementations of X25519
@@ -66,6 +63,6 @@ // (but not X448) MUST mask the most significant bit in the final byte.
         // - 1 through 2^448 - 1 for X448.
-        return modP((0, utils_ts_1.bytesToNumberLE)(_u));
+        return modP(bytesToNumberLE(_u));
     }
     function decodeScalar(scalar) {
-        return (0, utils_ts_1.bytesToNumberLE)(adjustScalarBytes((0, utils_ts_1.ensureBytes)('scalar', scalar, fieldLen)));
+        return bytesToNumberLE(adjustScalarBytes(copyBytes(abytes(scalar, fieldLen, 'scalar'))));
     }
@@ -102,4 +99,4 @@ function scalarMult(scalar, u) {
     function montgomeryLadder(u, scalar) {
-        (0, utils_ts_1.aInRange)('u', u, _0n, P);
-        (0, utils_ts_1.aInRange)('scalar', scalar, minScalar, maxScalar);
+        aInRange('u', u, _0n, P);
+        aInRange('scalar', scalar, minScalar, maxScalar);
         const k = scalar;
@@ -145,3 +142,3 @@ const x_1 = u;
     const randomSecretKey = (seed = randomBytes_(fieldLen)) => {
-        (0, utils_ts_1.abytes)(seed, lengths.seed);
+        abytes(seed, lengths.seed, 'seed');
         return seed;
@@ -157,3 +154,3 @@ };
     };
-    return {
+    return Object.freeze({
         keygen,
@@ -167,4 +164,4 @@ getSharedSecret: (secretKey, publicKey) => scalarMult(secretKey, publicKey),
         lengths,
-    };
+    });
 }
 //# sourceMappingURL=montgomery.js.map

abstract/montgomery.js.map

@@ -1,1 +0,1 @@
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abstract/poseidon.js

@@ -1,9 +0,1 @@
-"use strict";
-Object.defineProperty(exports, "__esModule", { value: true });
-exports.PoseidonSponge = void 0;
-exports.grainGenConstants = grainGenConstants;
-exports.validateOpts = validateOpts;
-exports.splitConstants = splitConstants;
-exports.poseidon = poseidon;
-exports.poseidonSponge = poseidonSponge;
 /**
@@ -18,4 +10,4 @@ * Implements [Poseidon](https://www.poseidon-hash.info) ZK-friendly hash.
 /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-const utils_ts_1 = require("../utils.js");
-const modular_ts_1 = require("./modular.js");
+import { _validateObject, bitGet } from "../utils.js";
+import { FpInvertBatch, FpPow, validateField } from "./modular.js";
 // Grain LFSR (Linear-Feedback Shift Register): https://eprint.iacr.org/2009/109.pdf
@@ -48,4 +40,4 @@ function grainLFSR(state) {
     const { Fp, roundsFull } = opts;
-    (0, modular_ts_1.validateField)(Fp);
-    (0, utils_ts_1._validateObject)(opts, {
+    validateField(Fp);
+    _validateObject(opts, {
         t: 'number',
@@ -71,3 +63,3 @@ roundsFull: 'number',
         for (let i = bitCount - 1; i >= 0; i--)
-            state[pos++] = Number((0, utils_ts_1.bitGet)(value, i));
+            state[pos++] = Number(bitGet(value, i));
     };
@@ -104,3 +96,3 @@ const _0n = BigInt(0);
 // (grain LFRS-like structure)
-function grainGenConstants(opts, skipMDS = 0) {
+export function grainGenConstants(opts, skipMDS = 0) {
     const { Fp, t, roundsFull, roundsPartial } = opts;
@@ -127,7 +119,7 @@ const rounds = roundsFull + roundsPartial;
         }
-        mds.push((0, modular_ts_1.FpInvertBatch)(Fp, row));
+        mds.push(FpInvertBatch(Fp, row));
     }
     return { roundConstants, mds };
 }
-function validateOpts(opts) {
+export function validateOpts(opts) {
     assertValidPosOpts(opts);
@@ -167,3 +159,3 @@ const { Fp, mds, reversePartialPowIdx: rev, roundConstants: rc } = opts;
     const _sboxPower = BigInt(sboxPower);
-    let sboxFn = (n) => (0, modular_ts_1.FpPow)(Fp, n, _sboxPower);
+    let sboxFn = (n) => FpPow(Fp, n, _sboxPower);
     // Unwrapped sbox power for common cases (195->142μs)
@@ -176,3 +168,3 @@ if (sboxPower === 3)
 }
-function splitConstants(rc, t) {
+export function splitConstants(rc, t) {
     if (typeof t !== 'number')
@@ -194,3 +186,3 @@ throw new Error('poseidonSplitConstants: invalid t');
 /** Poseidon NTT-friendly hash. */
-function poseidon(opts) {
+export function poseidon(opts) {
     const _opts = validateOpts(opts);
@@ -236,6 +228,11 @@ const { Fp, mds, roundConstants, rounds: totalRounds, roundsPartial, sboxFn, t } = _opts;
 }
-class PoseidonSponge {
+export class PoseidonSponge {
+    Fp;
+    rate;
+    capacity;
+    hash;
+    state; // [...capacity, ...rate]
+    pos = 0;
+    isAbsorbing = true;
     constructor(Fp, rate, capacity, hash) {
-        this.pos = 0;
-        this.isAbsorbing = true;
         this.Fp = Fp;
@@ -294,3 +291,2 @@ this.hash = hash;
 }
-exports.PoseidonSponge = PoseidonSponge;
 /**
@@ -303,3 +299,3 @@ * The method is not defined in spec, but nevertheless used often.
  */
-function poseidonSponge(opts) {
+export function poseidonSponge(opts) {
     for (const i of ['rate', 'capacity']) {
@@ -306,0 +302,0 @@ if (typeof opts[i] !== 'number' || !Number.isSafeInteger(opts[i]))

abstract/poseidon.js.map

@@ -1,1 +0,1 @@
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abstract/tower.d.ts.map

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abstract/tower.js

@@ -1,5 +0,1 @@
-"use strict";
-Object.defineProperty(exports, "__esModule", { value: true });
-exports.psiFrobenius = psiFrobenius;
-exports.tower12 = tower12;
 /**
@@ -17,4 +13,4 @@ * Towered extension fields.
 /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-const utils_ts_1 = require("../utils.js");
-const mod = require("./modular.js");
+import { bitGet, bitLen, concatBytes, notImplemented } from "../utils.js";
+import * as mod from "./modular.js";
 // Be friendly to bad ECMAScript parsers by not using bigint literals
@@ -40,3 +36,3 @@ // prettier-ignore
 // This works same at least for bls12-381, bn254 and bls12-377
-function psiFrobenius(Fp, Fp2, base) {
+export function psiFrobenius(Fp, Fp2, base) {
     // GLV endomorphism Ψ(P)
@@ -78,4 +74,15 @@ const PSI_X = Fp2.pow(base, (Fp.ORDER - _1n) / _3n); // u^((p-1)/3)
 class _Field2 {
+    ORDER;
+    BITS;
+    BYTES;
+    isLE;
+    ZERO;
+    ONE;
+    Fp;
+    NONRESIDUE;
+    mulByB;
+    Fp_NONRESIDUE;
+    Fp_div2;
+    FROBENIUS_COEFFICIENTS;
     constructor(Fp, opts = {}) {
-        this.MASK = _1n;
         const ORDER = Fp.ORDER;
@@ -85,4 +92,4 @@ const FP2_ORDER = ORDER * ORDER;
         this.ORDER = FP2_ORDER;
-        this.BITS = (0, utils_ts_1.bitLen)(FP2_ORDER);
-        this.BYTES = Math.ceil((0, utils_ts_1.bitLen)(FP2_ORDER) / 8);
+        this.BITS = bitLen(FP2_ORDER);
+        this.BYTES = Math.ceil(bitLen(FP2_ORDER) / 8);
         this.isLE = Fp.isLE;
@@ -248,3 +255,3 @@ this.ZERO = { c0: Fp.ZERO, c1: Fp.ZERO };
     toBytes({ c0, c1 }) {
-        return (0, utils_ts_1.concatBytes)(this.Fp.toBytes(c0), this.Fp.toBytes(c1));
+        return concatBytes(this.Fp.toBytes(c0), this.Fp.toBytes(c1));
     }
@@ -281,4 +288,12 @@ cmov({ c0, c1 }, { c0: r0, c1: r1 }, c) {
 class _Field6 {
+    ORDER;
+    BITS;
+    BYTES;
+    isLE;
+    ZERO;
+    ONE;
+    Fp2;
+    FROBENIUS_COEFFICIENTS_1;
+    FROBENIUS_COEFFICIENTS_2;
     constructor(Fp2) {
-        this.MASK = _1n;
         this.Fp2 = Fp2;
@@ -383,3 +398,3 @@ this.ORDER = Fp2.ORDER; // TODO: unused, but need to verify
     sqrt(_) {
-        return (0, utils_ts_1.notImplemented)();
+        return notImplemented();
     }
@@ -421,3 +436,3 @@ // Do we need division by bigint at all? Should be done via order:
         const { Fp2 } = this;
-        return (0, utils_ts_1.concatBytes)(Fp2.toBytes(c0), Fp2.toBytes(c1), Fp2.toBytes(c2));
+        return concatBytes(Fp2.toBytes(c0), Fp2.toBytes(c1), Fp2.toBytes(c2));
     }
@@ -487,4 +502,13 @@ cmov({ c0, c1, c2 }, { c0: r0, c1: r1, c2: r2 }, c) {
 class _Field12 {
+    ORDER;
+    BITS;
+    BYTES;
+    isLE;
+    ZERO;
+    ONE;
+    Fp6;
+    FROBENIUS_COEFFICIENTS;
+    X_LEN;
+    finalExponentiate;
     constructor(Fp6, opts) {
-        this.MASK = _1n;
         const { Fp2 } = Fp6;
@@ -526,3 +550,3 @@ const { Fp } = Fp2;
     sqrt(_) {
-        (0, utils_ts_1.notImplemented)();
+        notImplemented();
     }
@@ -608,3 +632,3 @@ inv({ c0, c1 }) {
         const { Fp6 } = this;
-        return (0, utils_ts_1.concatBytes)(Fp6.toBytes(c0), Fp6.toBytes(c1));
+        return concatBytes(Fp6.toBytes(c0), Fp6.toBytes(c1));
     }
@@ -716,3 +740,3 @@ cmov({ c0, c1 }, { c0: r0, c1: r1 }, c) {
             z = this._cyclotomicSquare(z);
-            if ((0, utils_ts_1.bitGet)(n, i))
+            if (bitGet(n, i))
                 z = this.mul(z, num);
@@ -723,3 +747,3 @@ }
 }
-function tower12(opts) {
+export function tower12(opts) {
     const Fp = mod.Field(opts.ORDER);
@@ -726,0 +750,0 @@ const Fp2 = new _Field2(Fp, opts);

abstract/tower.js.map

@@ -1,1 +0,1 @@
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abstract/weierstrass.d.ts

@@ -1,4 +0,4 @@
-import { type CHash, type Hex, type PrivKey } from '../utils.ts';
-import { type AffinePoint, type BasicCurve, type CurveLengths, type CurvePoint, type CurvePointCons } from './curve.ts';
-import { type IField, type NLength } from './modular.ts';
+import { type CHash } from '../utils.ts';
+import { type AffinePoint, type CurveLengths, type CurvePoint, type CurvePointCons } from './curve.ts';
+import { type IField } from './modular.ts';
 export type { AffinePoint };
@@ -80,16 +80,2 @@ export type HmacFnSync = (key: Uint8Array, ...messages: Uint8Array[]) => Uint8Array;
     toHex(isCompressed?: boolean): string;
-    /** @deprecated use `.X` */
-    readonly px: T;
-    /** @deprecated use `.Y` */
-    readonly py: T;
-    /** @deprecated use `.Z` */
-    readonly pz: T;
-    /** @deprecated use `toBytes` */
-    toRawBytes(isCompressed?: boolean): Uint8Array;
-    /** @deprecated use `multiplyUnsafe` */
-    multiplyAndAddUnsafe(Q: WeierstrassPoint<T>, a: bigint, b: bigint): WeierstrassPoint<T> | undefined;
-    /** @deprecated use `p.y % 2n === 0n` */
-    hasEvenY(): boolean;
-    /** @deprecated use `p.precompute(windowSize)` */
-    _setWindowSize(windowSize: number): void;
 }
@@ -101,8 +87,2 @@ /** Static methods for 3D XYZ projective points. */
     CURVE(): WeierstrassOpts<T>;
-    /** @deprecated use `Point.BASE.multiply(Point.Fn.fromBytes(privateKey))` */
-    fromPrivateKey(privateKey: PrivKey): WeierstrassPoint<T>;
-    /** @deprecated use `import { normalizeZ } from '@noble/curves/abstract/curve.js';` */
-    normalizeZ(points: WeierstrassPoint<T>[]): WeierstrassPoint<T>[];
-    /** @deprecated use `import { pippenger } from '@noble/curves/abstract/curve.js';` */
-    msm(points: WeierstrassPoint<T>[], scalars: bigint[]): WeierstrassPoint<T>;
 }
@@ -163,17 +143,9 @@ /**
     };
-    getPublicKey: (secretKey: PrivKey, isCompressed?: boolean) => Uint8Array;
-    getSharedSecret: (secretKeyA: PrivKey, publicKeyB: Hex, isCompressed?: boolean) => Uint8Array;
+    getPublicKey: (secretKey: Uint8Array, isCompressed?: boolean) => Uint8Array;
+    getSharedSecret: (secretKeyA: Uint8Array, publicKeyB: Uint8Array, isCompressed?: boolean) => Uint8Array;
     Point: WeierstrassPointCons<bigint>;
     utils: {
-        isValidSecretKey: (secretKey: PrivKey) => boolean;
+        isValidSecretKey: (secretKey: Uint8Array) => boolean;
         isValidPublicKey: (publicKey: Uint8Array, isCompressed?: boolean) => boolean;
         randomSecretKey: (seed?: Uint8Array) => Uint8Array;
-        /** @deprecated use `randomSecretKey` */
-        randomPrivateKey: (seed?: Uint8Array) => Uint8Array;
-        /** @deprecated use `isValidSecretKey` */
-        isValidPrivateKey: (secretKey: PrivKey) => boolean;
-        /** @deprecated use `Point.Fn.fromBytes()` */
-        normPrivateKeyToScalar: (key: PrivKey) => bigint;
-        /** @deprecated use `point.precompute()` */
-        precompute: (windowSize?: number, point?: WeierstrassPoint<bigint>) => WeierstrassPoint<bigint>;
     };
@@ -187,3 +159,3 @@ lengths: CurveLengths;
 export interface ECDSA extends ECDH {
-    sign: (message: Hex, secretKey: PrivKey, opts?: ECDSASignOpts) => ECDSASigRecovered;
+    sign: (message: Uint8Array, secretKey: Uint8Array, opts?: ECDSASignOpts) => Uint8Array;
     verify: (signature: Uint8Array, message: Uint8Array, publicKey: Uint8Array, opts?: ECDSAVerifyOpts) => boolean;
@@ -226,3 +198,2 @@ recoverPublicKey(signature: Uint8Array, message: Uint8Array, opts?: ECDSARecoverOpts): Uint8Array;
 export declare const DER: IDER;
-export declare function _normFnElement(Fn: IField<bigint>, key: PrivKey): bigint;
 /**
@@ -245,3 +216,3 @@ * Creates weierstrass Point constructor, based on specified curve options.
  */
-export declare function weierstrassN<T>(params: WeierstrassOpts<T>, extraOpts?: WeierstrassExtraOpts<T>): WeierstrassPointCons<T>;
+export declare function weierstrass<T>(params: WeierstrassOpts<T>, extraOpts?: WeierstrassExtraOpts<T>): WeierstrassPointCons<T>;
 /** Methods of ECDSA signature instance. */
@@ -252,24 +223,9 @@ export interface ECDSASignature {
     readonly recovery?: number;
-    addRecoveryBit(recovery: number): ECDSASigRecovered;
+    addRecoveryBit(recovery: number): ECDSASignature & {
+        readonly recovery: number;
+    };
     hasHighS(): boolean;
     toBytes(format?: string): Uint8Array;
     toHex(format?: string): string;
-    /** @deprecated */
-    assertValidity(): void;
-    /** @deprecated */
-    normalizeS(): ECDSASignature;
-    /** @deprecated use standalone method `curve.recoverPublicKey(sig.toBytes('recovered'), msg)` */
-    recoverPublicKey(msgHash: Hex): WeierstrassPoint<bigint>;
-    /** @deprecated use `.toBytes('compact')` */
-    toCompactRawBytes(): Uint8Array;
-    /** @deprecated use `.toBytes('compact')` */
-    toCompactHex(): string;
-    /** @deprecated use `.toBytes('der')` */
-    toDERRawBytes(): Uint8Array;
-    /** @deprecated use `.toBytes('der')` */
-    toDERHex(): string;
 }
-export type ECDSASigRecovered = ECDSASignature & {
-    readonly recovery: number;
-};
 /** Methods of ECDSA signature constructor. */
@@ -280,6 +236,2 @@ export type ECDSASignatureCons = {
     fromHex(hex: string, format?: ECDSASigFormat): ECDSASignature;
-    /** @deprecated use `.fromBytes(bytes, 'compact')` */
-    fromCompact(hex: Hex): ECDSASignature;
-    /** @deprecated use `.fromBytes(bytes, 'der')` */
-    fromDER(hex: Hex): ECDSASignature;
 };
@@ -335,88 +287,2 @@ /**
 export declare function ecdsa(Point: WeierstrassPointCons<bigint>, hash: CHash, ecdsaOpts?: ECDSAOpts): ECDSA;
-/** @deprecated */
-export type SignatureType = ECDSASignature;
-/** @deprecated */
-export type RecoveredSignatureType = ECDSASigRecovered;
-/** @deprecated */
-export type SignatureLike = {
-    r: bigint;
-    s: bigint;
-};
-/** @deprecated use `Uint8Array | boolean` */
-export type Entropy = Hex | boolean;
-export type BasicWCurve<T> = BasicCurve<T> & {
-    a: T;
-    b: T;
-    allowedPrivateKeyLengths?: readonly number[];
-    wrapPrivateKey?: boolean;
-    endo?: EndomorphismOpts;
-    isTorsionFree?: (c: WeierstrassPointCons<T>, point: WeierstrassPoint<T>) => boolean;
-    clearCofactor?: (c: WeierstrassPointCons<T>, point: WeierstrassPoint<T>) => WeierstrassPoint<T>;
-};
-/** @deprecated use ECDSASignOpts */
-export type SignOpts = ECDSASignOpts;
-/** @deprecated use ECDSASignOpts */
-export type VerOpts = ECDSAVerifyOpts;
-/** @deprecated use WeierstrassPoint */
-export type ProjPointType<T> = WeierstrassPoint<T>;
-/** @deprecated use WeierstrassPointCons */
-export type ProjConstructor<T> = WeierstrassPointCons<T>;
-export type CurvePointsType<T> = BasicWCurve<T> & {
-    fromBytes?: (bytes: Uint8Array) => AffinePoint<T>;
-    toBytes?: (c: WeierstrassPointCons<T>, point: WeierstrassPoint<T>, isCompressed: boolean) => Uint8Array;
-};
-export type CurvePointsTypeWithLength<T> = Readonly<CurvePointsType<T> & Partial<NLength>>;
-export type CurvePointsRes<T> = {
-    Point: WeierstrassPointCons<T>;
-    /** @deprecated use `Point.CURVE()` */
-    CURVE: CurvePointsType<T>;
-    /** @deprecated use `Point` */
-    ProjectivePoint: WeierstrassPointCons<T>;
-    /** @deprecated use `Point.Fn.fromBytes(privateKey)` */
-    normPrivateKeyToScalar: (key: PrivKey) => bigint;
-    /** @deprecated */
-    weierstrassEquation: (x: T) => T;
-    /** @deprecated use `Point.Fn.isValidNot0(num)` */
-    isWithinCurveOrder: (num: bigint) => boolean;
-};
-/** @deprecated use `Uint8Array` */
-export type PubKey = Hex | WeierstrassPoint<bigint>;
-export type CurveType = BasicWCurve<bigint> & {
-    hash: CHash;
-    hmac?: HmacFnSync;
-    randomBytes?: (bytesLength?: number) => Uint8Array;
-    lowS?: boolean;
-    bits2int?: (bytes: Uint8Array) => bigint;
-    bits2int_modN?: (bytes: Uint8Array) => bigint;
-};
-export type CurveFn = {
-    /** @deprecated use `Point.CURVE()` */
-    CURVE: CurvePointsType<bigint>;
-    keygen: ECDSA['keygen'];
-    getPublicKey: ECDSA['getPublicKey'];
-    getSharedSecret: ECDSA['getSharedSecret'];
-    sign: ECDSA['sign'];
-    verify: ECDSA['verify'];
-    Point: WeierstrassPointCons<bigint>;
-    /** @deprecated use `Point` */
-    ProjectivePoint: WeierstrassPointCons<bigint>;
-    Signature: ECDSASignatureCons;
-    utils: ECDSA['utils'];
-    lengths: ECDSA['lengths'];
-};
-/** @deprecated use `weierstrass` in newer releases */
-export declare function weierstrassPoints<T>(c: CurvePointsTypeWithLength<T>): CurvePointsRes<T>;
-export type WsPointComposed<T> = {
-    CURVE: WeierstrassOpts<T>;
-    curveOpts: WeierstrassExtraOpts<T>;
-};
-export type WsComposed = {
-    /** @deprecated use `Point.CURVE()` */
-    CURVE: WeierstrassOpts<bigint>;
-    hash: CHash;
-    curveOpts: WeierstrassExtraOpts<bigint>;
-    ecdsaOpts: ECDSAOpts;
-};
-export declare function _legacyHelperEquat<T>(Fp: IField<T>, a: T, b: T): (x: T) => T;
-export declare function weierstrass(c: CurveType): CurveFn;
 //# sourceMappingURL=weierstrass.d.ts.map

abstract/weierstrass.d.ts.map

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abstract/weierstrass.js

@@ -1,14 +0,1 @@
-"use strict";
-Object.defineProperty(exports, "__esModule", { value: true });
-exports.DER = exports.DERErr = void 0;
-exports._splitEndoScalar = _splitEndoScalar;
-exports._normFnElement = _normFnElement;
-exports.weierstrassN = weierstrassN;
-exports.SWUFpSqrtRatio = SWUFpSqrtRatio;
-exports.mapToCurveSimpleSWU = mapToCurveSimpleSWU;
-exports.ecdh = ecdh;
-exports.ecdsa = ecdsa;
-exports.weierstrassPoints = weierstrassPoints;
-exports._legacyHelperEquat = _legacyHelperEquat;
-exports.weierstrass = weierstrass;
 /**
@@ -41,7 +28,7 @@ * Short Weierstrass curve methods. The formula is: y² = x³ + ax + b.
 /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-const hmac_js_1 = require("@noble/hashes/hmac.js");
-const utils_1 = require("@noble/hashes/utils");
-const utils_ts_1 = require("../utils.js");
-const curve_ts_1 = require("./curve.js");
-const modular_ts_1 = require("./modular.js");
+import { hmac as nobleHmac } from '@noble/hashes/hmac.js';
+import { ahash } from '@noble/hashes/utils.js';
+import { _validateObject, abool, abytes, aInRange, bitLen, bitMask, bytesToHex, bytesToNumberBE, concatBytes, createHmacDrbg, hexToBytes, isBytes, memoized, numberToHexUnpadded, randomBytes as wcRandomBytes, } from "../utils.js";
+import { _createCurveFields, mulEndoUnsafe, negateCt, normalizeZ, wNAF, } from "./curve.js";
+import { FpInvertBatch, getMinHashLength, mapHashToField, validateField, } from "./modular.js";
 // We construct basis in such way that den is always positive and equals n, but num sign depends on basis (not on secret value)
@@ -52,3 +39,3 @@ const divNearest = (num, den) => (num + (num >= 0 ? den : -den) / _2n) / den;
  */
-function _splitEndoScalar(k, basis, n) {
+export function _splitEndoScalar(k, basis, n) {
     // Split scalar into two such that part is ~half bits: `abs(part) < sqrt(N)`
@@ -72,3 +59,3 @@ // Since part can be negative, we need to do this on point.
     // This should only happen on wrong basises. Also, math inside is too complex and I don't trust it.
-    const MAX_NUM = (0, utils_ts_1.bitMask)(Math.ceil((0, utils_ts_1.bitLen)(n) / 2)) + _1n; // Half bits of N
+    const MAX_NUM = bitMask(Math.ceil(bitLen(n) / 2)) + _1n; // Half bits of N
     if (k1 < _0n || k1 >= MAX_NUM || k2 < _0n || k2 >= MAX_NUM) {
@@ -90,4 +77,4 @@ throw new Error('splitScalar (endomorphism): failed, k=' + k);
     }
-    (0, utils_ts_1._abool2)(optsn.lowS, 'lowS');
-    (0, utils_ts_1._abool2)(optsn.prehash, 'prehash');
+    abool(optsn.lowS, 'lowS');
+    abool(optsn.prehash, 'prehash');
     if (optsn.format !== undefined)
@@ -97,3 +84,3 @@ validateSigFormat(optsn.format);
 }
-class DERErr extends Error {
+export class DERErr extends Error {
     constructor(m = '') {
@@ -103,3 +90,2 @@ super(m);
 }
-exports.DERErr = DERErr;
 /**
@@ -112,3 +98,3 @@ * ASN.1 DER encoding utilities. ASN is very complex & fragile. Format:
  */
-exports.DER = {
+export const DER = {
     // asn.1 DER encoding utils
@@ -119,3 +105,3 @@ Err: DERErr,
         encode: (tag, data) => {
-            const { Err: E } = exports.DER;
+            const { Err: E } = DER;
             if (tag < 0 || tag > 256)
@@ -126,8 +112,8 @@ throw new E('tlv.encode: wrong tag');
             const dataLen = data.length / 2;
-            const len = (0, utils_ts_1.numberToHexUnpadded)(dataLen);
-            if ((len.length / 2) & 128)
+            const len = numberToHexUnpadded(dataLen);
+            if ((len.length / 2) & 0b1000_0000)
                 throw new E('tlv.encode: long form length too big');
             // length of length with long form flag
-            const lenLen = dataLen > 127 ? (0, utils_ts_1.numberToHexUnpadded)((len.length / 2) | 128) : '';
-            const t = (0, utils_ts_1.numberToHexUnpadded)(tag);
+            const lenLen = dataLen > 127 ? numberToHexUnpadded((len.length / 2) | 0b1000_0000) : '';
+            const t = numberToHexUnpadded(tag);
             return t + lenLen + len + data;
@@ -137,3 +123,3 @@ },
         decode(tag, data) {
-            const { Err: E } = exports.DER;
+            const { Err: E } = DER;
             let pos = 0;
@@ -145,3 +131,3 @@ if (tag < 0 || tag > 256)
             const first = data[pos++];
-            const isLong = !!(first & 128); // First bit of first length byte is flag for short/long form
+            const isLong = !!(first & 0b1000_0000); // First bit of first length byte is flag for short/long form
             let length = 0;
@@ -152,3 +138,3 @@ if (!isLong)
                 // Long form: [longFlag(1bit), lengthLength(7bit), length (BE)]
-                const lenLen = first & 127;
+                const lenLen = first & 0b0111_1111;
                 if (!lenLen)
@@ -181,6 +167,6 @@ throw new E('tlv.decode(long): indefinite length not supported');
         encode(num) {
-            const { Err: E } = exports.DER;
+            const { Err: E } = DER;
             if (num < _0n)
                 throw new E('integer: negative integers are not allowed');
-            let hex = (0, utils_ts_1.numberToHexUnpadded)(num);
+            let hex = numberToHexUnpadded(num);
             // Pad with zero byte if negative flag is present
@@ -194,14 +180,14 @@ if (Number.parseInt(hex[0], 16) & 0b1000)
         decode(data) {
-            const { Err: E } = exports.DER;
-            if (data[0] & 128)
+            const { Err: E } = DER;
+            if (data[0] & 0b1000_0000)
                 throw new E('invalid signature integer: negative');
-            if (data[0] === 0x00 && !(data[1] & 128))
+            if (data[0] === 0x00 && !(data[1] & 0b1000_0000))
                 throw new E('invalid signature integer: unnecessary leading zero');
-            return (0, utils_ts_1.bytesToNumberBE)(data);
+            return bytesToNumberBE(data);
         },
     },
-    toSig(hex) {
+    toSig(bytes) {
         // parse DER signature
-        const { Err: E, _int: int, _tlv: tlv } = exports.DER;
-        const data = (0, utils_ts_1.ensureBytes)('signature', hex);
+        const { Err: E, _int: int, _tlv: tlv } = DER;
+        const data = abytes(bytes, undefined, 'signature');
         const { v: seqBytes, l: seqLeftBytes } = tlv.decode(0x30, data);
@@ -217,3 +203,3 @@ if (seqLeftBytes.length)
     hexFromSig(sig) {
-        const { _tlv: tlv, _int: int } = exports.DER;
+        const { _tlv: tlv, _int: int } = DER;
         const rs = tlv.encode(0x02, int.encode(sig.r));
@@ -228,21 +214,2 @@ const ss = tlv.encode(0x02, int.encode(sig.s));
 const _0n = BigInt(0), _1n = BigInt(1), _2n = BigInt(2), _3n = BigInt(3), _4n = BigInt(4);
-function _normFnElement(Fn, key) {
-    const { BYTES: expected } = Fn;
-    let num;
-    if (typeof key === 'bigint') {
-        num = key;
-    }
-    else {
-        let bytes = (0, utils_ts_1.ensureBytes)('private key', key);
-        try {
-            num = Fn.fromBytes(bytes);
-        }
-        catch (error) {
-            throw new Error(`invalid private key: expected ui8a of size ${expected}, got ${typeof key}`);
-        }
-    }
-    if (!Fn.isValidNot0(num))
-        throw new Error('invalid private key: out of range [1..N-1]');
-    return num;
-}
 /**
@@ -265,8 +232,8 @@ * Creates weierstrass Point constructor, based on specified curve options.
  */
-function weierstrassN(params, extraOpts = {}) {
-    const validated = (0, curve_ts_1._createCurveFields)('weierstrass', params, extraOpts);
+export function weierstrass(params, extraOpts = {}) {
+    const validated = _createCurveFields('weierstrass', params, extraOpts);
     const { Fp, Fn } = validated;
     let CURVE = validated.CURVE;
     const { h: cofactor, n: CURVE_ORDER } = CURVE;
-    (0, utils_ts_1._validateObject)(extraOpts, {}, {
+    _validateObject(extraOpts, {}, {
         allowInfinityPoint: 'boolean',
@@ -296,14 +263,14 @@ clearCofactor: 'function',
         const bx = Fp.toBytes(x);
-        (0, utils_ts_1._abool2)(isCompressed, 'isCompressed');
+        abool(isCompressed, 'isCompressed');
         if (isCompressed) {
             assertCompressionIsSupported();
             const hasEvenY = !Fp.isOdd(y);
-            return (0, utils_ts_1.concatBytes)(pprefix(hasEvenY), bx);
+            return concatBytes(pprefix(hasEvenY), bx);
         }
         else {
-            return (0, utils_ts_1.concatBytes)(Uint8Array.of(0x04), bx, Fp.toBytes(y));
+            return concatBytes(Uint8Array.of(0x04), bx, Fp.toBytes(y));
         }
     }
     function pointFromBytes(bytes) {
-        (0, utils_ts_1._abytes2)(bytes, undefined, 'Point');
+        abytes(bytes, undefined, 'Point');
         const { publicKey: comp, publicKeyUncompressed: uncomp } = lengths; // e.g. for 32-byte: 33, 65
@@ -390,3 +357,3 @@ const length = bytes.length;
     // (X, Y, Z) ∋ (x=X/Z, y=Y/Z)
-    const toAffineMemo = (0, utils_ts_1.memoized)((p, iz) => {
+    const toAffineMemo = memoized((p, iz) => {
         const { X, Y, Z } = p;
@@ -412,3 +379,3 @@ // Fast-path for normalized points
     // Otherwise true will be return
-    const assertValidMemo = (0, utils_ts_1.memoized)((p) => {
+    const assertValidMemo = memoized((p) => {
         if (p.is0()) {
@@ -434,4 +401,4 @@ // (0, 1, 0) aka ZERO is invalid in most contexts.
         k2p = new Point(Fp.mul(k2p.X, endoBeta), k2p.Y, k2p.Z);
-        k1p = (0, curve_ts_1.negateCt)(k1neg, k1p);
-        k2p = (0, curve_ts_1.negateCt)(k2neg, k2p);
+        k1p = negateCt(k1neg, k1p);
+        k2p = negateCt(k2neg, k2p);
         return k1p.add(k2p);
@@ -445,2 +412,13 @@ }
     class Point {
+        // base / generator point
+        static BASE = new Point(CURVE.Gx, CURVE.Gy, Fp.ONE);
+        // zero / infinity / identity point
+        static ZERO = new Point(Fp.ZERO, Fp.ONE, Fp.ZERO); // 0, 1, 0
+        // math field
+        static Fp = Fp;
+        // scalar field
+        static Fn = Fn;
+        X;
+        Y;
+        Z;
         /** Does NOT validate if the point is valid. Use `.assertValidity()`. */
@@ -469,3 +447,3 @@ constructor(X, Y, Z) {
         static fromBytes(bytes) {
-            const P = Point.fromAffine(decodePoint((0, utils_ts_1._abytes2)(bytes, undefined, 'point')));
+            const P = Point.fromAffine(decodePoint(abytes(bytes, undefined, 'point')));
             P.assertValidity();
@@ -475,3 +453,3 @@ return P;
         static fromHex(hex) {
-            return Point.fromBytes((0, utils_ts_1.ensureBytes)('pointHex', hex));
+            return Point.fromBytes(hexToBytes(hex));
         }
@@ -635,3 +613,3 @@ get x() {
             let point, fake; // Fake point is used to const-time mult
-            const mul = (n) => wnaf.cached(this, n, (p) => (0, curve_ts_1.normalizeZ)(Point, p));
+            const mul = (n) => wnaf.cached(this, n, (p) => normalizeZ(Point, p));
             /** See docs for {@link EndomorphismOpts} */
@@ -651,3 +629,3 @@ if (endo) {
             // Normalize `z` for both points, but return only real one
-            return (0, curve_ts_1.normalizeZ)(Point, [point, fake])[0];
+            return normalizeZ(Point, [point, fake])[0];
         }
@@ -672,3 +650,3 @@ /**
                 const { k1neg, k1, k2neg, k2 } = splitEndoScalarN(sc);
-                const { p1, p2 } = (0, curve_ts_1.mulEndoUnsafe)(Point, p, k1, k2); // 30% faster vs wnaf.unsafe
+                const { p1, p2 } = mulEndoUnsafe(Point, p, k1, k2); // 30% faster vs wnaf.unsafe
                 return finishEndo(endo.beta, p1, p2, k1neg, k2neg);
@@ -716,3 +694,3 @@ }
         toBytes(isCompressed = true) {
-            (0, utils_ts_1._abool2)(isCompressed, 'isCompressed');
+            abool(isCompressed, 'isCompressed');
             this.assertValidity();
@@ -722,3 +700,3 @@ return encodePoint(Point, this, isCompressed);
         toHex(isCompressed = true) {
-            return (0, utils_ts_1.bytesToHex)(this.toBytes(isCompressed));
+            return bytesToHex(this.toBytes(isCompressed));
         }
@@ -728,38 +706,5 @@ toString() {
         }
-        // TODO: remove
-        get px() {
-            return this.X;
-        }
-        get py() {
-            return this.X;
-        }
-        get pz() {
-            return this.Z;
-        }
-        toRawBytes(isCompressed = true) {
-            return this.toBytes(isCompressed);
-        }
-        _setWindowSize(windowSize) {
-            this.precompute(windowSize);
-        }
-        static normalizeZ(points) {
-            return (0, curve_ts_1.normalizeZ)(Point, points);
-        }
-        static msm(points, scalars) {
-            return (0, curve_ts_1.pippenger)(Point, Fn, points, scalars);
-        }
-        static fromPrivateKey(privateKey) {
-            return Point.BASE.multiply(_normFnElement(Fn, privateKey));
-        }
     }
-    // base / generator point
-    Point.BASE = new Point(CURVE.Gx, CURVE.Gy, Fp.ONE);
-    // zero / infinity / identity point
-    Point.ZERO = new Point(Fp.ZERO, Fp.ONE, Fp.ZERO); // 0, 1, 0
-    // math field
-    Point.Fp = Fp;
-    // scalar field
-    Point.Fn = Fn;
     const bits = Fn.BITS;
-    const wnaf = new curve_ts_1.wNAF(Point, extraOpts.endo ? Math.ceil(bits / 2) : bits);
+    const wnaf = new wNAF(Point, extraOpts.endo ? Math.ceil(bits / 2) : bits);
     Point.BASE.precompute(8); // Enable precomputes. Slows down first publicKey computation by 20ms.
@@ -781,3 +726,3 @@ return Point;
  */
-function SWUFpSqrtRatio(Fp, Z) {
+export function SWUFpSqrtRatio(Fp, Z) {
     // Generic implementation
@@ -855,4 +800,4 @@ const q = Fp.ORDER;
  */
-function mapToCurveSimpleSWU(Fp, opts) {
-    (0, modular_ts_1.validateField)(Fp);
+export function mapToCurveSimpleSWU(Fp, opts) {
+    validateField(Fp);
     const { A, B, Z } = opts;
@@ -893,3 +838,3 @@ if (!Fp.isValid(A) || !Fp.isValid(B) || !Fp.isValid(Z))
         y = Fp.cmov(Fp.neg(y), y, e1); // 24.   y = CMOV(-y, y, e1)
-        const tv4_inv = (0, modular_ts_1.FpInvertBatch)(Fp, [tv4], true)[0];
+        const tv4_inv = FpInvertBatch(Fp, [tv4], true)[0];
         x = Fp.mul(x, tv4_inv); // 25.   x = x / tv4
@@ -912,9 +857,10 @@ return { x, y };
  */
-function ecdh(Point, ecdhOpts = {}) {
+export function ecdh(Point, ecdhOpts = {}) {
     const { Fn } = Point;
-    const randomBytes_ = ecdhOpts.randomBytes || utils_ts_1.randomBytes;
-    const lengths = Object.assign(getWLengths(Point.Fp, Fn), { seed: (0, modular_ts_1.getMinHashLength)(Fn.ORDER) });
+    const randomBytes_ = ecdhOpts.randomBytes || wcRandomBytes;
+    const lengths = Object.assign(getWLengths(Point.Fp, Fn), { seed: getMinHashLength(Fn.ORDER) });
     function isValidSecretKey(secretKey) {
         try {
-            return !!_normFnElement(Fn, secretKey);
+            const num = Fn.fromBytes(secretKey);
+            return Fn.isValidNot0(num);
         }
@@ -944,3 +890,3 @@ catch (error) {
     function randomSecretKey(seed = randomBytes_(lengths.seed)) {
-        return (0, modular_ts_1.mapHashToField)((0, utils_ts_1._abytes2)(seed, lengths.seed, 'seed'), Fn.ORDER);
+        return mapHashToField(abytes(seed, lengths.seed, 'seed'), Fn.ORDER);
     }
@@ -953,3 +899,3 @@ /**
     function getPublicKey(secretKey, isCompressed = true) {
-        return Point.BASE.multiply(_normFnElement(Fn, secretKey)).toBytes(isCompressed);
+        return Point.BASE.multiply(Fn.fromBytes(secretKey)).toBytes(isCompressed);
     }
@@ -964,10 +910,8 @@ function keygen(seed) {
     function isProbPub(item) {
-        if (typeof item === 'bigint')
-            return false;
-        if (item instanceof Point)
-            return true;
         const { secretKey, publicKey, publicKeyUncompressed } = lengths;
-        if (Fn.allowedLengths || secretKey === publicKey)
+        if (!isBytes(item))
             return undefined;
-        const l = (0, utils_ts_1.ensureBytes)('key', item).length;
+        if (('_lengths' in Fn && Fn._lengths) || secretKey === publicKey)
+            return undefined;
+        const l = abytes(item, undefined, 'key').length;
         return l === publicKey || l === publicKeyUncompressed;
@@ -988,4 +932,4 @@ }
             throw new Error('second arg must be public key');
-        const s = _normFnElement(Fn, secretKeyA);
-        const b = Point.fromHex(publicKeyB); // checks for being on-curve
+        const s = Fn.fromBytes(secretKeyA);
+        const b = Point.fromBytes(publicKeyB); // checks for being on-curve
         return b.multiply(s).toBytes(isCompressed);
@@ -997,9 +941,2 @@ }
         randomSecretKey,
-        // TODO: remove
-        isValidPrivateKey: isValidSecretKey,
-        randomPrivateKey: randomSecretKey,
-        normPrivateKeyToScalar: (key) => _normFnElement(Fn, key),
-        precompute(windowSize = 8, point = Point.BASE) {
-            return point.precompute(windowSize, false);
-        },
     };
@@ -1024,5 +961,5 @@ return Object.freeze({ getPublicKey, getSharedSecret, keygen, Point, utils, lengths });
  */
-function ecdsa(Point, hash, ecdsaOpts = {}) {
-    (0, utils_1.ahash)(hash);
-    (0, utils_ts_1._validateObject)(ecdsaOpts, {}, {
+export function ecdsa(Point, hash, ecdsaOpts = {}) {
+    ahash(hash);
+    _validateObject(ecdsaOpts, {}, {
         hmac: 'function',
@@ -1034,5 +971,6 @@ lowS: 'boolean',
     });
-    const randomBytes = ecdsaOpts.randomBytes || utils_ts_1.randomBytes;
+    ecdsaOpts = Object.assign({}, ecdsaOpts);
+    const randomBytes = ecdsaOpts.randomBytes || wcRandomBytes;
     const hmac = ecdsaOpts.hmac ||
-        ((key, ...msgs) => (0, hmac_js_1.hmac)(hash, key, (0, utils_ts_1.concatBytes)(...msgs)));
+        ((key, ...msgs) => nobleHmac(hash, key, concatBytes(...msgs)));
     const { Fp, Fn } = Point;
@@ -1042,8 +980,7 @@ const { ORDER: CURVE_ORDER, BITS: fnBits } = Fn;
     const defaultSigOpts = {
-        prehash: false,
-        lowS: typeof ecdsaOpts.lowS === 'boolean' ? ecdsaOpts.lowS : false,
-        format: undefined, //'compact' as ECDSASigFormat,
+        prehash: true,
+        lowS: typeof ecdsaOpts.lowS === 'boolean' ? ecdsaOpts.lowS : true,
+        format: 'compact',
         extraEntropy: false,
     };
-    const defaultSigOpts_format = 'compact';
     function isBiggerThanHalfOrder(number) {
@@ -1062,3 +999,3 @@ const HALF = CURVE_ORDER >> _1n;
         const sizer = format === 'compact' ? size : format === 'recovered' ? size + 1 : undefined;
-        return (0, utils_ts_1._abytes2)(bytes, sizer, `${format} signature`);
+        return abytes(bytes, sizer);
     }
@@ -1069,2 +1006,5 @@ /**
     class Signature {
+        r;
+        s;
+        recovery;
         constructor(r, s, recovery) {
@@ -1077,7 +1017,7 @@ this.r = validateRS('r', r); // r in [1..N-1];
         }
-        static fromBytes(bytes, format = defaultSigOpts_format) {
+        static fromBytes(bytes, format = defaultSigOpts.format) {
             validateSigLength(bytes, format);
             let recid;
             if (format === 'der') {
-                const { r, s } = exports.DER.toSig((0, utils_ts_1._abytes2)(bytes));
+                const { r, s } = DER.toSig(abytes(bytes));
                 return new Signature(r, s);
@@ -1090,3 +1030,3 @@ }
             }
-            const L = Fn.BYTES;
+            const L = lengths.signature / 2;
             const r = bytes.subarray(0, L);
@@ -1097,3 +1037,3 @@ const s = bytes.subarray(L, L * 2);
         static fromHex(hex, format) {
-            return this.fromBytes((0, utils_ts_1.hexToBytes)(hex), format);
+            return this.fromBytes(hexToBytes(hex), format);
         }
@@ -1123,5 +1063,5 @@ addRecoveryBit(recovery) {
             const x = Fp.toBytes(radj);
-            const R = Point.fromBytes((0, utils_ts_1.concatBytes)(pprefix((rec & 1) === 0), x));
+            const R = Point.fromBytes(concatBytes(pprefix((rec & 1) === 0), x));
             const ir = Fn.inv(radj); // r^-1
-            const h = bits2int_modN((0, utils_ts_1.ensureBytes)('msgHash', messageHash)); // Truncate hash
+            const h = bits2int_modN(abytes(messageHash, undefined, 'msgHash')); // Truncate hash
             const u1 = Fn.create(-h * ir); // -hr^-1
@@ -1140,6 +1080,6 @@ const u2 = Fn.create(s * ir); // sr^-1
         }
-        toBytes(format = defaultSigOpts_format) {
+        toBytes(format = defaultSigOpts.format) {
             validateSigFormat(format);
             if (format === 'der')
-                return (0, utils_ts_1.hexToBytes)(exports.DER.hexFromSig(this));
+                return hexToBytes(DER.hexFromSig(this));
             const r = Fn.toBytes(this.r);
@@ -1150,32 +1090,9 @@ const s = Fn.toBytes(this.s);
                     throw new Error('recovery bit must be present');
-                return (0, utils_ts_1.concatBytes)(Uint8Array.of(this.recovery), r, s);
+                return concatBytes(Uint8Array.of(this.recovery), r, s);
             }
-            return (0, utils_ts_1.concatBytes)(r, s);
+            return concatBytes(r, s);
         }
         toHex(format) {
-            return (0, utils_ts_1.bytesToHex)(this.toBytes(format));
+            return bytesToHex(this.toBytes(format));
         }
-        // TODO: remove
-        assertValidity() { }
-        static fromCompact(hex) {
-            return Signature.fromBytes((0, utils_ts_1.ensureBytes)('sig', hex), 'compact');
-        }
-        static fromDER(hex) {
-            return Signature.fromBytes((0, utils_ts_1.ensureBytes)('sig', hex), 'der');
-        }
-        normalizeS() {
-            return this.hasHighS() ? new Signature(this.r, Fn.neg(this.s), this.recovery) : this;
-        }
-        toDERRawBytes() {
-            return this.toBytes('der');
-        }
-        toDERHex() {
-            return (0, utils_ts_1.bytesToHex)(this.toBytes('der'));
-        }
-        toCompactRawBytes() {
-            return this.toBytes('compact');
-        }
-        toCompactHex() {
-            return (0, utils_ts_1.bytesToHex)(this.toBytes('compact'));
-        }
     }
@@ -1193,3 +1110,3 @@ // RFC6979: ensure ECDSA msg is X bytes and < N. RFC suggests optional truncating via bits2octets.
             // for some cases, since bytes.length * 8 is not actual bitLength.
-            const num = (0, utils_ts_1.bytesToNumberBE)(bytes); // check for == u8 done here
+            const num = bytesToNumberBE(bytes); // check for == u8 done here
             const delta = bytes.length * 8 - fnBits; // truncate to nBitLength leftmost bits
@@ -1203,12 +1120,12 @@ return delta > 0 ? num >> BigInt(delta) : num;
     // Pads output with zero as per spec
-    const ORDER_MASK = (0, utils_ts_1.bitMask)(fnBits);
+    const ORDER_MASK = bitMask(fnBits);
     /** Converts to bytes. Checks if num in `[0..ORDER_MASK-1]` e.g.: `[0..2^256-1]`. */
     function int2octets(num) {
         // IMPORTANT: the check ensures working for case `Fn.BYTES != Fn.BITS * 8`
-        (0, utils_ts_1.aInRange)('num < 2^' + fnBits, num, _0n, ORDER_MASK);
+        aInRange('num < 2^' + fnBits, num, _0n, ORDER_MASK);
         return Fn.toBytes(num);
     }
     function validateMsgAndHash(message, prehash) {
-        (0, utils_ts_1._abytes2)(message, undefined, 'message');
-        return prehash ? (0, utils_ts_1._abytes2)(hash(message), undefined, 'prehashed message') : message;
+        abytes(message, undefined, 'message');
+        return prehash ? abytes(hash(message), undefined, 'prehashed message') : message;
     }
@@ -1224,4 +1141,2 @@ /**
     function prepSig(message, privateKey, opts) {
-        if (['recovered', 'canonical'].some((k) => k in opts))
-            throw new Error('sign() legacy options not supported');
         const { lowS, prehash, extraEntropy } = validateSigOpts(opts, defaultSigOpts);
@@ -1233,3 +1148,5 @@ message = validateMsgAndHash(message, prehash); // RFC6979 3.2 A: h1 = H(m)
         const h1int = bits2int_modN(message);
-        const d = _normFnElement(Fn, privateKey); // validate secret key, convert to bigint
+        const d = Fn.fromBytes(privateKey); // validate secret key, convert to bigint
+        if (!Fn.isValidNot0(d))
+            throw new Error('invalid private key');
         const seedArgs = [int2octets(d), int2octets(h1int)];
@@ -1241,6 +1158,6 @@ // extraEntropy. RFC6979 3.6: additional k' (optional).
             const e = extraEntropy === true ? randomBytes(lengths.secretKey) : extraEntropy;
-            seedArgs.push((0, utils_ts_1.ensureBytes)('extraEntropy', e)); // check for being bytes
+            seedArgs.push(abytes(e, undefined, 'extraEntropy')); // check for being bytes
         }
-        const seed = (0, utils_ts_1.concatBytes)(...seedArgs); // Step D of RFC6979 3.2
-        const m = h1int; // NOTE: no need to call bits2int second time here, it is inside truncateHash!
+        const seed = concatBytes(...seedArgs); // Step D of RFC6979 3.2
+        const m = h1int; // no need to call bits2int second time here, it is inside truncateHash!
         // Converts signature params into point w r/s, checks result for validity.
@@ -1257,3 +1174,3 @@ // To transform k => Signature:
             // Important: all mod() calls here must be done over N
-            const k = bits2int(kBytes); // mod n, not mod p
+            const k = bits2int(kBytes); // Cannot use fields methods, since it is group element
             if (!Fn.isValidNot0(k))
@@ -1291,43 +1208,7 @@ return; // Valid scalars (including k) must be in 1..N-1
     function sign(message, secretKey, opts = {}) {
-        message = (0, utils_ts_1.ensureBytes)('message', message);
         const { seed, k2sig } = prepSig(message, secretKey, opts); // Steps A, D of RFC6979 3.2.
-        const drbg = (0, utils_ts_1.createHmacDrbg)(hash.outputLen, Fn.BYTES, hmac);
+        const drbg = createHmacDrbg(hash.outputLen, Fn.BYTES, hmac);
         const sig = drbg(seed, k2sig); // Steps B, C, D, E, F, G
-        return sig;
+        return sig.toBytes(opts.format);
     }
-    function tryParsingSig(sg) {
-        // Try to deduce format
-        let sig = undefined;
-        const isHex = typeof sg === 'string' || (0, utils_ts_1.isBytes)(sg);
-        const isObj = !isHex &&
-            sg !== null &&
-            typeof sg === 'object' &&
-            typeof sg.r === 'bigint' &&
-            typeof sg.s === 'bigint';
-        if (!isHex && !isObj)
-            throw new Error('invalid signature, expected Uint8Array, hex string or Signature instance');
-        if (isObj) {
-            sig = new Signature(sg.r, sg.s);
-        }
-        else if (isHex) {
-            try {
-                sig = Signature.fromBytes((0, utils_ts_1.ensureBytes)('sig', sg), 'der');
-            }
-            catch (derError) {
-                if (!(derError instanceof exports.DER.Err))
-                    throw derError;
-            }
-            if (!sig) {
-                try {
-                    sig = Signature.fromBytes((0, utils_ts_1.ensureBytes)('sig', sg), 'compact');
-                }
-                catch (error) {
-                    return false;
-                }
-            }
-        }
-        if (!sig)
-            return false;
-        return sig;
-    }
     /**
@@ -1348,12 +1229,11 @@ * Verifies a signature against message and public key.
         const { lowS, prehash, format } = validateSigOpts(opts, defaultSigOpts);
-        publicKey = (0, utils_ts_1.ensureBytes)('publicKey', publicKey);
-        message = validateMsgAndHash((0, utils_ts_1.ensureBytes)('message', message), prehash);
-        if ('strict' in opts)
-            throw new Error('options.strict was renamed to lowS');
-        const sig = format === undefined
-            ? tryParsingSig(signature)
-            : Signature.fromBytes((0, utils_ts_1.ensureBytes)('sig', signature), format);
-        if (sig === false)
-            return false;
+        publicKey = abytes(publicKey, undefined, 'publicKey');
+        message = validateMsgAndHash(message, prehash);
+        if (!isBytes(signature)) {
+            const end = signature instanceof Signature ? ', use sig.toBytes()' : '';
+            throw new Error('verify expects Uint8Array signature' + end);
+        }
+        validateSigLength(signature, format); // execute this twice because we want loud error
         try {
+            const sig = Signature.fromBytes(signature, format);
             const P = Point.fromBytes(publicKey);
@@ -1396,91 +1276,2 @@ if (lowS && sig.hasHighS())
 }
-/** @deprecated use `weierstrass` in newer releases */
-function weierstrassPoints(c) {
-    const { CURVE, curveOpts } = _weierstrass_legacy_opts_to_new(c);
-    const Point = weierstrassN(CURVE, curveOpts);
-    return _weierstrass_new_output_to_legacy(c, Point);
-}
-function _weierstrass_legacy_opts_to_new(c) {
-    const CURVE = {
-        a: c.a,
-        b: c.b,
-        p: c.Fp.ORDER,
-        n: c.n,
-        h: c.h,
-        Gx: c.Gx,
-        Gy: c.Gy,
-    };
-    const Fp = c.Fp;
-    let allowedLengths = c.allowedPrivateKeyLengths
-        ? Array.from(new Set(c.allowedPrivateKeyLengths.map((l) => Math.ceil(l / 2))))
-        : undefined;
-    const Fn = (0, modular_ts_1.Field)(CURVE.n, {
-        BITS: c.nBitLength,
-        allowedLengths: allowedLengths,
-        modFromBytes: c.wrapPrivateKey,
-    });
-    const curveOpts = {
-        Fp,
-        Fn,
-        allowInfinityPoint: c.allowInfinityPoint,
-        endo: c.endo,
-        isTorsionFree: c.isTorsionFree,
-        clearCofactor: c.clearCofactor,
-        fromBytes: c.fromBytes,
-        toBytes: c.toBytes,
-    };
-    return { CURVE, curveOpts };
-}
-function _ecdsa_legacy_opts_to_new(c) {
-    const { CURVE, curveOpts } = _weierstrass_legacy_opts_to_new(c);
-    const ecdsaOpts = {
-        hmac: c.hmac,
-        randomBytes: c.randomBytes,
-        lowS: c.lowS,
-        bits2int: c.bits2int,
-        bits2int_modN: c.bits2int_modN,
-    };
-    return { CURVE, curveOpts, hash: c.hash, ecdsaOpts };
-}
-function _legacyHelperEquat(Fp, a, b) {
-    /**
-     * y² = x³ + ax + b: Short weierstrass curve formula. Takes x, returns y².
-     * @returns y²
-     */
-    function weierstrassEquation(x) {
-        const x2 = Fp.sqr(x); // x * x
-        const x3 = Fp.mul(x2, x); // x² * x
-        return Fp.add(Fp.add(x3, Fp.mul(x, a)), b); // x³ + a * x + b
-    }
-    return weierstrassEquation;
-}
-function _weierstrass_new_output_to_legacy(c, Point) {
-    const { Fp, Fn } = Point;
-    function isWithinCurveOrder(num) {
-        return (0, utils_ts_1.inRange)(num, _1n, Fn.ORDER);
-    }
-    const weierstrassEquation = _legacyHelperEquat(Fp, c.a, c.b);
-    return Object.assign({}, {
-        CURVE: c,
-        Point: Point,
-        ProjectivePoint: Point,
-        normPrivateKeyToScalar: (key) => _normFnElement(Fn, key),
-        weierstrassEquation,
-        isWithinCurveOrder,
-    });
-}
-function _ecdsa_new_output_to_legacy(c, _ecdsa) {
-    const Point = _ecdsa.Point;
-    return Object.assign({}, _ecdsa, {
-        ProjectivePoint: Point,
-        CURVE: Object.assign({}, c, (0, modular_ts_1.nLength)(Point.Fn.ORDER, Point.Fn.BITS)),
-    });
-}
-// _ecdsa_legacy
-function weierstrass(c) {
-    const { CURVE, curveOpts, hash, ecdsaOpts } = _ecdsa_legacy_opts_to_new(c);
-    const Point = weierstrassN(CURVE, curveOpts);
-    const signs = ecdsa(Point, hash, ecdsaOpts);
-    return _ecdsa_new_output_to_legacy(c, signs);
-}
 //# sourceMappingURL=weierstrass.js.map

abstract/weierstrass.js.map

@@ -1,1 +0,1 @@
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bls12-381.d.ts

@@ -1,2 +0,2 @@
-import { type CurveFn } from './abstract/bls.ts';
+import { type BlsCurvePairWithSignatures } from './abstract/bls.ts';
 import { type IField } from './abstract/modular.ts';
@@ -15,3 +15,3 @@ export declare const bls12_381_Fr: IField<bigint>;
  */
-export declare const bls12_381: CurveFn;
+export declare const bls12_381: BlsCurvePairWithSignatures;
 //# sourceMappingURL=bls12-381.d.ts.map

bls12-381.d.ts.map

@@ -1,1 +0,1 @@
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+{"version":3,"file":"bls12-381.d.ts","sourceRoot":"","sources":["src/bls12-381.ts"],"names":[],"mappings":"AAgFA,OAAO,EAAO,KAAK,0BAA0B,EAAE,MAAM,mBAAmB,CAAC;AACzE,OAAO,EAAS,KAAK,MAAM,EAAE,MAAM,uBAAuB,CAAC;AAsE3D,eAAO,MAAM,YAAY,EAAE,MAAM,CAAC,MAAM,CAEtC,CAAC;AAibH;;;;;;;;;;GAUG;AACH,eAAO,MAAM,SAAS,EAAE,0BAOvB,CAAC"}

bls12-381.js

@@ -1,4 +0,1 @@
-"use strict";
-Object.defineProperty(exports, "__esModule", { value: true });
-exports.bls12_381 = exports.bls12_381_Fr = void 0;
 /**
@@ -83,10 +80,10 @@ * bls12-381 is pairing-friendly Barreto-Lynn-Scott elliptic curve construction allowing to:
 /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-const sha2_js_1 = require("@noble/hashes/sha2.js");
-const bls_ts_1 = require("./abstract/bls.js");
-const modular_ts_1 = require("./abstract/modular.js");
-const utils_ts_1 = require("./utils.js");
+import { sha256 } from '@noble/hashes/sha2.js';
+import { bls } from "./abstract/bls.js";
+import { Field } from "./abstract/modular.js";
+import { abytes, bitLen, bitMask, bytesToHex, bytesToNumberBE, concatBytes, copyBytes, hexToBytes, numberToBytesBE, randomBytes, } from "./utils.js";
 // Types
-const hash_to_curve_ts_1 = require("./abstract/hash-to-curve.js");
-const tower_ts_1 = require("./abstract/tower.js");
-const weierstrass_ts_1 = require("./abstract/weierstrass.js");
+import { isogenyMap } from "./abstract/hash-to-curve.js";
+import { psiFrobenius, tower12 } from "./abstract/tower.js";
+import { mapToCurveSimpleSWU, weierstrass, } from "./abstract/weierstrass.js";
 // Be friendly to bad ECMAScript parsers by not using bigint literals
@@ -102,3 +99,3 @@ // prettier-ignore
 // const t = -BLS_X;
-const BLS_X_LEN = (0, utils_ts_1.bitLen)(BLS_X);
+const BLS_X_LEN = bitLen(BLS_X);
 // a=0, b=4
@@ -126,7 +123,7 @@ // P is characteristic of field Fp, in which curve calculations are done.
 // CURVE FIELDS
-exports.bls12_381_Fr = (0, modular_ts_1.Field)(bls12_381_CURVE_G1.n, {
+// r = z⁴ − z² + 1; CURVE.n from other curves
+export const bls12_381_Fr = Field(bls12_381_CURVE_G1.n, {
     modFromBytes: true,
-    isLE: true,
 });
-const { Fp, Fp2, Fp6, Fp12 } = (0, tower_ts_1.tower12)({
+const { Fp, Fp2, Fp6, Fp12 } = tower12({
     ORDER: bls12_381_CURVE_G1.p,
@@ -164,3 +161,3 @@ X_LEN: BLS_X_LEN,
 // GLV endomorphism Ψ(P), for fast cofactor clearing
-const { G2psi, G2psi2 } = (0, tower_ts_1.psiFrobenius)(Fp, Fp2, Fp2.div(Fp2.ONE, Fp2.NONRESIDUE)); // 1/(u+1)
+const { G2psi, G2psi2 } = psiFrobenius(Fp, Fp2, Fp2.div(Fp2.ONE, Fp2.NONRESIDUE)); // 1/(u+1)
 /**
@@ -173,3 +170,3 @@ * Default hash_to_field / hash-to-curve for BLS.
  */
-const htfDefaults = Object.freeze({
+const hasher_opts = Object.freeze({
     DST: 'BLS_SIG_BLS12381G2_XMD:SHA-256_SSWU_RO_NUL_',
@@ -181,3 +178,3 @@ encodeDST: 'BLS_SIG_BLS12381G2_XMD:SHA-256_SSWU_RO_NUL_',
     expand: 'xmd',
-    hash: sha2_js_1.sha256,
+    hash: sha256,
 });
@@ -210,20 +207,21 @@ // a=0, b=4
 function parseMask(bytes) {
-    // Copy, so we can remove mask data. It will be removed also later, when Fp.create will call modulo.
-    bytes = bytes.slice();
-    const mask = bytes[0] & 224;
+    // Copy, so we can remove mask data.
+    // It will be removed also later, when Fp.create will call modulo.
+    bytes = copyBytes(bytes);
+    const mask = bytes[0] & 0b1110_0000;
     const compressed = !!((mask >> 7) & 1); // compression bit (0b1000_0000)
     const infinity = !!((mask >> 6) & 1); // point at infinity bit (0b0100_0000)
     const sort = !!((mask >> 5) & 1); // sort bit (0b0010_0000)
-    bytes[0] &= 31; // clear mask (zero first 3 bits)
+    bytes[0] &= 0b0001_1111; // clear mask (zero first 3 bits)
     return { compressed, infinity, sort, value: bytes };
 }
 function setMask(bytes, mask) {
-    if (bytes[0] & 224)
+    if (bytes[0] & 0b1110_0000)
         throw new Error('setMask: non-empty mask');
     if (mask.compressed)
-        bytes[0] |= 128;
+        bytes[0] |= 0b1000_0000;
     if (mask.infinity)
-        bytes[0] |= 64;
+        bytes[0] |= 0b0100_0000;
     if (mask.sort)
-        bytes[0] |= 32;
+        bytes[0] |= 0b0010_0000;
     return bytes;
@@ -239,10 +237,10 @@ }
         const sort = Boolean((y * _2n) / P);
-        return setMask((0, utils_ts_1.numberToBytesBE)(x, L), { compressed: true, sort });
+        return setMask(numberToBytesBE(x, L), { compressed: true, sort });
     }
     else {
         if (is0) {
-            return (0, utils_ts_1.concatBytes)(Uint8Array.of(0x40), new Uint8Array(2 * L - 1));
+            return concatBytes(Uint8Array.of(0x40), new Uint8Array(2 * L - 1));
         }
         else {
-            return (0, utils_ts_1.concatBytes)((0, utils_ts_1.numberToBytesBE)(x, L), (0, utils_ts_1.numberToBytesBE)(y, L));
+            return concatBytes(numberToBytesBE(x, L), numberToBytesBE(y, L));
         }
@@ -258,3 +256,3 @@ }
     const sort = Boolean((y * _2n) / P);
-    return setMask((0, utils_ts_1.numberToBytesBE)(x, L), { compressed: true, sort });
+    return setMask(numberToBytesBE(x, L), { compressed: true, sort });
 }
@@ -265,5 +263,5 @@ function pointG1FromBytes(bytes) {
     if (value.length === 48 && compressed) {
-        const compressedValue = (0, utils_ts_1.bytesToNumberBE)(value);
+        const compressedValue = bytesToNumberBE(value);
         // Zero
-        const x = Fp.create(compressedValue & (0, utils_ts_1.bitMask)(Fp.BITS));
+        const x = Fp.create(compressedValue & bitMask(Fp.BITS));
         if (infinity) {
@@ -284,8 +282,8 @@ if (x !== _0n)
         // Check if the infinity flag is set
-        const x = (0, utils_ts_1.bytesToNumberBE)(value.subarray(0, L));
-        const y = (0, utils_ts_1.bytesToNumberBE)(value.subarray(L));
+        const x = bytesToNumberBE(value.subarray(0, L));
+        const y = bytesToNumberBE(value.subarray(L));
         if (infinity) {
             if (x !== _0n || y !== _0n)
                 throw new Error('G1: non-empty point at infinity');
-            return exports.bls12_381.G1.Point.ZERO.toAffine();
+            return bls12_381.G1.Point.ZERO.toAffine();
         }
@@ -298,11 +296,11 @@ return { x: Fp.create(x), y: Fp.create(y) };
 }
-function signatureG1FromBytes(hex) {
-    const { infinity, sort, value } = parseMask((0, utils_ts_1.ensureBytes)('signatureHex', hex, 48));
+function signatureG1FromBytes(bytes) {
+    const { infinity, sort, value } = parseMask(abytes(bytes, 48, 'signature'));
     const P = Fp.ORDER;
-    const Point = exports.bls12_381.G1.Point;
-    const compressedValue = (0, utils_ts_1.bytesToNumberBE)(value);
+    const Point = bls12_381.G1.Point;
+    const compressedValue = bytesToNumberBE(value);
     // Zero
     if (infinity)
         return Point.ZERO;
-    const x = Fp.create(compressedValue & (0, utils_ts_1.bitMask)(Fp.BITS));
+    const x = Fp.create(compressedValue & bitMask(Fp.BITS));
     const right = Fp.add(Fp.pow(x, _3n), Fp.create(bls12_381_CURVE_G1.b)); // y² = x³ + b
@@ -325,12 +323,12 @@ let y = Fp.sqrt(right);
         if (is0)
-            return (0, utils_ts_1.concatBytes)(COMPZERO, (0, utils_ts_1.numberToBytesBE)(_0n, L));
+            return concatBytes(COMPZERO, numberToBytesBE(_0n, L));
         const flag = Boolean(y.c1 === _0n ? (y.c0 * _2n) / P : (y.c1 * _2n) / P);
-        return (0, utils_ts_1.concatBytes)(setMask((0, utils_ts_1.numberToBytesBE)(x.c1, L), { compressed: true, sort: flag }), (0, utils_ts_1.numberToBytesBE)(x.c0, L));
+        return concatBytes(setMask(numberToBytesBE(x.c1, L), { compressed: true, sort: flag }), numberToBytesBE(x.c0, L));
     }
     else {
         if (is0)
-            return (0, utils_ts_1.concatBytes)(Uint8Array.of(0x40), new Uint8Array(4 * L - 1));
+            return concatBytes(Uint8Array.of(0x40), new Uint8Array(4 * L - 1));
         const { re: x0, im: x1 } = Fp2.reim(x);
         const { re: y0, im: y1 } = Fp2.reim(y);
-        return (0, utils_ts_1.concatBytes)((0, utils_ts_1.numberToBytesBE)(x1, L), (0, utils_ts_1.numberToBytesBE)(x0, L), (0, utils_ts_1.numberToBytesBE)(y1, L), (0, utils_ts_1.numberToBytesBE)(y0, L));
+        return concatBytes(numberToBytesBE(x1, L), numberToBytesBE(x0, L), numberToBytesBE(y1, L), numberToBytesBE(y0, L));
     }
@@ -342,3 +340,3 @@ }
     if (point.is0())
-        return (0, utils_ts_1.concatBytes)(COMPZERO, (0, utils_ts_1.numberToBytesBE)(_0n, L));
+        return concatBytes(COMPZERO, numberToBytesBE(_0n, L));
     const { x, y } = point.toAffine();
@@ -350,3 +348,3 @@ const { re: x0, im: x1 } = Fp2.reim(x);
     const z2 = x0;
-    return (0, utils_ts_1.concatBytes)(setMask((0, utils_ts_1.numberToBytesBE)(x1, L), { sort, compressed: true }), (0, utils_ts_1.numberToBytesBE)(z2, L));
+    return concatBytes(setMask(numberToBytesBE(x1, L), { sort, compressed: true }), numberToBytesBE(z2, L));
 }
@@ -360,5 +358,5 @@ function pointG2FromBytes(bytes) {
     ) {
-        throw new Error('invalid encoding flag: ' + (bytes[0] & 224));
+        throw new Error('invalid encoding flag: ' + (bytes[0] & 0b1110_0000));
     }
-    const slc = (b, from, to) => (0, utils_ts_1.bytesToNumberBE)(b.slice(from, to));
+    const slc = (b, from, to) => bytesToNumberBE(b.slice(from, to));
     if (value.length === 96 && compressed) {
@@ -398,16 +396,16 @@ if (infinity) {
 }
-function signatureG2FromBytes(hex) {
+function signatureG2FromBytes(bytes) {
     const { ORDER: P } = Fp;
     // TODO: Optimize, it's very slow because of sqrt.
-    const { infinity, sort, value } = parseMask((0, utils_ts_1.ensureBytes)('signatureHex', hex));
-    const Point = exports.bls12_381.G2.Point;
+    const { infinity, sort, value } = parseMask(abytes(bytes));
+    const Point = bls12_381.G2.Point;
     const half = value.length / 2;
     if (half !== 48 && half !== 96)
         throw new Error('invalid compressed signature length, expected 96/192 bytes');
-    const z1 = (0, utils_ts_1.bytesToNumberBE)(value.slice(0, half));
-    const z2 = (0, utils_ts_1.bytesToNumberBE)(value.slice(half));
+    const z1 = bytesToNumberBE(value.slice(0, half));
+    const z2 = bytesToNumberBE(value.slice(half));
     // Indicates the infinity point
     if (infinity)
         return Point.ZERO;
-    const x1 = Fp.create(z1 & (0, utils_ts_1.bitMask)(Fp.BITS));
+    const x1 = Fp.create(z1 & bitMask(Fp.BITS));
     const x2 = Fp.create(z2);
@@ -432,2 +430,117 @@ const x = Fp2.create({ c0: x2, c1: x1 });
 }
+const signatureCoders = {
+    ShortSignature: {
+        fromBytes(bytes) {
+            return signatureG1FromBytes(abytes(bytes));
+        },
+        fromHex(hex) {
+            return signatureG1FromBytes(hexToBytes(hex));
+        },
+        toBytes(point) {
+            return signatureG1ToBytes(point);
+        },
+        toRawBytes(point) {
+            return signatureG1ToBytes(point);
+        },
+        toHex(point) {
+            return bytesToHex(signatureG1ToBytes(point));
+        },
+    },
+    LongSignature: {
+        fromBytes(bytes) {
+            return signatureG2FromBytes(abytes(bytes));
+        },
+        fromHex(hex) {
+            return signatureG2FromBytes(hexToBytes(hex));
+        },
+        toBytes(point) {
+            return signatureG2ToBytes(point);
+        },
+        toRawBytes(point) {
+            return signatureG2ToBytes(point);
+        },
+        toHex(point) {
+            return bytesToHex(signatureG2ToBytes(point));
+        },
+    },
+};
+const fields = {
+    Fp,
+    Fp2,
+    Fp6,
+    Fp12,
+    Fr: bls12_381_Fr,
+};
+const G1_Point = weierstrass(bls12_381_CURVE_G1, {
+    allowInfinityPoint: true,
+    Fn: bls12_381_Fr,
+    fromBytes: pointG1FromBytes,
+    toBytes: pointG1ToBytes,
+    // Checks is the point resides in prime-order subgroup.
+    // point.isTorsionFree() should return true for valid points
+    // It returns false for shitty points.
+    // https://eprint.iacr.org/2021/1130.pdf
+    isTorsionFree: (c, point) => {
+        // GLV endomorphism ψ(P)
+        const beta = BigInt('0x5f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffe');
+        const phi = new c(Fp.mul(point.X, beta), point.Y, point.Z);
+        // TODO: unroll
+        const xP = point.multiplyUnsafe(BLS_X).negate(); // [x]P
+        const u2P = xP.multiplyUnsafe(BLS_X); // [u2]P
+        return u2P.equals(phi);
+    },
+    // Clear cofactor of G1
+    // https://eprint.iacr.org/2019/403
+    clearCofactor: (_c, point) => {
+        // return this.multiplyUnsafe(CURVE.h);
+        return point.multiplyUnsafe(BLS_X).add(point); // x*P + P
+    },
+});
+const G2_Point = weierstrass(bls12_381_CURVE_G2, {
+    Fp: Fp2,
+    allowInfinityPoint: true,
+    Fn: bls12_381_Fr,
+    fromBytes: pointG2FromBytes,
+    toBytes: pointG2ToBytes,
+    // https://eprint.iacr.org/2021/1130.pdf
+    // Older version: https://eprint.iacr.org/2019/814.pdf
+    isTorsionFree: (c, P) => {
+        return P.multiplyUnsafe(BLS_X).negate().equals(G2psi(c, P)); // ψ(P) == [u](P)
+    },
+    // clear_cofactor_bls12381_g2 from RFC 9380.
+    // https://eprint.iacr.org/2017/419.pdf
+    // prettier-ignore
+    clearCofactor: (c, P) => {
+        const x = BLS_X;
+        let t1 = P.multiplyUnsafe(x).negate(); // [-x]P
+        let t2 = G2psi(c, P); // Ψ(P)
+        let t3 = P.double(); // 2P
+        t3 = G2psi2(c, t3); // Ψ²(2P)
+        t3 = t3.subtract(t2); // Ψ²(2P) - Ψ(P)
+        t2 = t1.add(t2); // [-x]P + Ψ(P)
+        t2 = t2.multiplyUnsafe(x).negate(); // [x²]P - [x]Ψ(P)
+        t3 = t3.add(t2); // Ψ²(2P) - Ψ(P) + [x²]P - [x]Ψ(P)
+        t3 = t3.subtract(t1); // Ψ²(2P) - Ψ(P) + [x²]P - [x]Ψ(P) + [x]P
+        const Q = t3.subtract(P); // Ψ²(2P) - Ψ(P) + [x²]P - [x]Ψ(P) + [x]P - 1P
+        return Q; // [x²-x-1]P + [x-1]Ψ(P) + Ψ²(2P)
+    },
+});
+const bls12_hasher_opts = {
+    mapToG1: mapToG1,
+    mapToG2: mapToG2,
+    hasherOpts: hasher_opts,
+    hasherOptsG1: { ...hasher_opts, m: 1, DST: 'BLS_SIG_BLS12381G1_XMD:SHA-256_SSWU_RO_NUL_' },
+    hasherOptsG2: { ...hasher_opts },
+};
+const bls12_params = {
+    ateLoopSize: BLS_X, // The BLS parameter x for BLS12-381
+    xNegative: true,
+    twistType: 'multiplicative',
+    randomBytes: randomBytes,
+    // https://datatracker.ietf.org/doc/html/rfc9380#name-clearing-the-cofactor
+    // https://datatracker.ietf.org/doc/html/rfc9380#name-cofactor-clearing-for-bls12
+    // G2hEff: BigInt(
+    //   '0xbc69f08f2ee75b3584c6a0ea91b352888e2a8e9145ad7689986ff031508ffe1329c2f178731db956d82bf015d1212b02ec0ec69d7477c1ae954cbc06689f6a359894c0adebbf6b4e8020005aaa95551'
+    // ),
+};
 /**
@@ -444,127 +557,5 @@ * bls12-381 pairing-friendly curve.
  */
-exports.bls12_381 = (0, bls_ts_1.bls)({
-    // Fields
-    fields: {
-        Fp,
-        Fp2,
-        Fp6,
-        Fp12,
-        Fr: exports.bls12_381_Fr,
-    },
-    // G1: y² = x³ + 4
-    G1: {
-        ...bls12_381_CURVE_G1,
-        Fp,
-        htfDefaults: { ...htfDefaults, m: 1, DST: 'BLS_SIG_BLS12381G1_XMD:SHA-256_SSWU_RO_NUL_' },
-        wrapPrivateKey: true,
-        allowInfinityPoint: true,
-        // Checks is the point resides in prime-order subgroup.
-        // point.isTorsionFree() should return true for valid points
-        // It returns false for shitty points.
-        // https://eprint.iacr.org/2021/1130.pdf
-        isTorsionFree: (c, point) => {
-            // GLV endomorphism ψ(P)
-            const beta = BigInt('0x5f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffe');
-            const phi = new c(Fp.mul(point.X, beta), point.Y, point.Z);
-            // TODO: unroll
-            const xP = point.multiplyUnsafe(BLS_X).negate(); // [x]P
-            const u2P = xP.multiplyUnsafe(BLS_X); // [u2]P
-            return u2P.equals(phi);
-        },
-        // Clear cofactor of G1
-        // https://eprint.iacr.org/2019/403
-        clearCofactor: (_c, point) => {
-            // return this.multiplyUnsafe(CURVE.h);
-            return point.multiplyUnsafe(BLS_X).add(point); // x*P + P
-        },
-        mapToCurve: mapToG1,
-        fromBytes: pointG1FromBytes,
-        toBytes: pointG1ToBytes,
-        ShortSignature: {
-            fromBytes(bytes) {
-                (0, utils_ts_1.abytes)(bytes);
-                return signatureG1FromBytes(bytes);
-            },
-            fromHex(hex) {
-                return signatureG1FromBytes(hex);
-            },
-            toBytes(point) {
-                return signatureG1ToBytes(point);
-            },
-            toRawBytes(point) {
-                return signatureG1ToBytes(point);
-            },
-            toHex(point) {
-                return (0, utils_ts_1.bytesToHex)(signatureG1ToBytes(point));
-            },
-        },
-    },
-    G2: {
-        ...bls12_381_CURVE_G2,
-        Fp: Fp2,
-        // https://datatracker.ietf.org/doc/html/rfc9380#name-clearing-the-cofactor
-        // https://datatracker.ietf.org/doc/html/rfc9380#name-cofactor-clearing-for-bls12
-        hEff: BigInt('0xbc69f08f2ee75b3584c6a0ea91b352888e2a8e9145ad7689986ff031508ffe1329c2f178731db956d82bf015d1212b02ec0ec69d7477c1ae954cbc06689f6a359894c0adebbf6b4e8020005aaa95551'),
-        htfDefaults: { ...htfDefaults },
-        wrapPrivateKey: true,
-        allowInfinityPoint: true,
-        mapToCurve: mapToG2,
-        // Checks is the point resides in prime-order subgroup.
-        // point.isTorsionFree() should return true for valid points
-        // It returns false for shitty points.
-        // https://eprint.iacr.org/2021/1130.pdf
-        // Older version: https://eprint.iacr.org/2019/814.pdf
-        isTorsionFree: (c, P) => {
-            return P.multiplyUnsafe(BLS_X).negate().equals(G2psi(c, P)); // ψ(P) == [u](P)
-        },
-        // Maps the point into the prime-order subgroup G2.
-        // clear_cofactor_bls12381_g2 from RFC 9380.
-        // https://eprint.iacr.org/2017/419.pdf
-        // prettier-ignore
-        clearCofactor: (c, P) => {
-            const x = BLS_X;
-            let t1 = P.multiplyUnsafe(x).negate(); // [-x]P
-            let t2 = G2psi(c, P); // Ψ(P)
-            let t3 = P.double(); // 2P
-            t3 = G2psi2(c, t3); // Ψ²(2P)
-            t3 = t3.subtract(t2); // Ψ²(2P) - Ψ(P)
-            t2 = t1.add(t2); // [-x]P + Ψ(P)
-            t2 = t2.multiplyUnsafe(x).negate(); // [x²]P - [x]Ψ(P)
-            t3 = t3.add(t2); // Ψ²(2P) - Ψ(P) + [x²]P - [x]Ψ(P)
-            t3 = t3.subtract(t1); // Ψ²(2P) - Ψ(P) + [x²]P - [x]Ψ(P) + [x]P
-            const Q = t3.subtract(P); // Ψ²(2P) - Ψ(P) + [x²]P - [x]Ψ(P) + [x]P - 1P
-            return Q; // [x²-x-1]P + [x-1]Ψ(P) + Ψ²(2P)
-        },
-        fromBytes: pointG2FromBytes,
-        toBytes: pointG2ToBytes,
-        Signature: {
-            fromBytes(bytes) {
-                (0, utils_ts_1.abytes)(bytes);
-                return signatureG2FromBytes(bytes);
-            },
-            fromHex(hex) {
-                return signatureG2FromBytes(hex);
-            },
-            toBytes(point) {
-                return signatureG2ToBytes(point);
-            },
-            toRawBytes(point) {
-                return signatureG2ToBytes(point);
-            },
-            toHex(point) {
-                return (0, utils_ts_1.bytesToHex)(signatureG2ToBytes(point));
-            },
-        },
-    },
-    params: {
-        ateLoopSize: BLS_X, // The BLS parameter x for BLS12-381
-        r: bls12_381_CURVE_G1.n, // order; z⁴ − z² + 1; CURVE.n from other curves
-        xNegative: true,
-        twistType: 'multiplicative',
-    },
-    htfDefaults,
-    hash: sha2_js_1.sha256,
-});
+export const bls12_381 = bls(fields, G1_Point, G2_Point, bls12_params, bls12_hasher_opts, signatureCoders);
 // 3-isogeny map from E' to E https://www.rfc-editor.org/rfc/rfc9380#appendix-E.3
-const isogenyMapG2 = (0, hash_to_curve_ts_1.isogenyMap)(Fp2, [
+const isogenyMapG2 = isogenyMap(Fp2, [
     // xNum
@@ -638,3 +629,3 @@ [
 // 11-isogeny map from E' to E
-const isogenyMapG1 = (0, hash_to_curve_ts_1.isogenyMap)(Fp, [
+const isogenyMapG1 = isogenyMap(Fp, [
     // xNum
@@ -709,3 +700,3 @@ [
 // Optimized SWU Map - Fp to G1
-const G1_SWU = (0, weierstrass_ts_1.mapToCurveSimpleSWU)(Fp, {
+const G1_SWU = mapToCurveSimpleSWU(Fp, {
     A: Fp.create(BigInt('0x144698a3b8e9433d693a02c96d4982b0ea985383ee66a8d8e8981aefd881ac98936f8da0e0f97f5cf428082d584c1d')),
@@ -716,3 +707,3 @@ B: Fp.create(BigInt('0x12e2908d11688030018b12e8753eee3b2016c1f0f24f4070a0b9c14fcef35ef55a23215a316ceaa5d1cc48e98e172be0')),
 // SWU Map - Fp2 to G2': y² = x³ + 240i * x + 1012 + 1012i
-const G2_SWU = (0, weierstrass_ts_1.mapToCurveSimpleSWU)(Fp2, {
+const G2_SWU = mapToCurveSimpleSWU(Fp2, {
     A: Fp2.create({ c0: Fp.create(_0n), c1: Fp.create(BigInt(240)) }), // A' = 240 * I
@@ -719,0 +710,0 @@ B: Fp2.create({ c0: Fp.create(BigInt(1012)), c1: Fp.create(BigInt(1012)) }), // B' = 1012 * (1 + I)

bls12-381.js.map

@@ -1,1 +0,1 @@
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bn254.d.ts

@@ -1,4 +0,59 @@
-import { type CurveFn as BLSCurveFn, type PostPrecomputeFn } from './abstract/bls.ts';
+/**
+ * bn254, previously known as alt_bn_128, when it had 128-bit security.
+
+Barbulescu-Duquesne 2017 shown it's weaker: just about 100 bits,
+so the naming has been adjusted to its prime bit count:
+https://hal.science/hal-01534101/file/main.pdf.
+Compatible with EIP-196 and EIP-197.
+
+There are huge compatibility issues in the ecosystem:
+
+1. Different libraries call it in different ways: "bn254", "bn256", "alt_bn128", "bn128".
+2. libff has bn128, but it's a different curve with different G2:
+   https://github.com/scipr-lab/libff/blob/a44f482e18b8ac04d034c193bd9d7df7817ad73f/libff/algebra/curves/bn128/bn128_init.cpp#L166-L169
+3. halo2curves bn256 is also incompatible and returns different outputs
+
+We don't implement Point methods toHex / toBytes.
+To work around this limitation, has to initialize points on their own from BigInts.
+Reason it's not implemented is because [there is no standard](https://github.com/privacy-scaling-explorations/halo2curves/issues/109).
+Points of divergence:
+
+- Endianness: LE vs BE (byte-swapped)
+- Flags as first hex bits (similar to BLS) vs no-flags
+- Imaginary part last in G2 vs first (c0, c1 vs c1, c0)
+
+The goal of our implementation is to support "Ethereum" variant of the curve,
+because it at least has specs:
+
+- EIP196 (https://eips.ethereum.org/EIPS/eip-196) describes bn254 ECADD and ECMUL opcodes for EVM
+- EIP197 (https://eips.ethereum.org/EIPS/eip-197) describes bn254 pairings
+- It's hard: EIPs don't have proper tests. EIP-197 returns boolean output instead of Fp12
+- The existing implementations are bad. Some are deprecated:
+    - https://github.com/paritytech/bn (old version)
+    - https://github.com/ewasm/ethereum-bn128.rs (uses paritytech/bn)
+    - https://github.com/zcash-hackworks/bn
+    - https://github.com/arkworks-rs/curves/blob/master/bn254/src/lib.rs
+- Python implementations use different towers and produce different Fp12 outputs:
+    - https://github.com/ethereum/py_pairing
+    - https://github.com/ethereum/execution-specs/blob/master/src/ethereum/crypto/alt_bn128.py
+- Points are encoded differently in different implementations
+
+### Params
+Seed (X): 4965661367192848881
+Fr: (36x⁴+36x³+18x²+6x+1)
+Fp: (36x⁴+36x³+24x²+6x+1)
+(E  / Fp ): Y² = X³+3
+(Et / Fp²): Y² = X³+3/(u+9) (D-type twist)
+Ate loop size: 6x+2
+
+### Towers
+- Fp²[u] = Fp/u²+1
+- Fp⁶[v] = Fp²/v³-9-u
+- Fp¹²[w] = Fp⁶/w²-v
+
+ * @module
+ */
+/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
+import { type BLSCurvePair, type PostPrecomputeFn } from './abstract/bls.ts';
 import { type IField } from './abstract/modular.ts';
-import { type CurveFn } from './abstract/weierstrass.ts';
 export declare const bn254_Fr: IField<bigint>;
@@ -10,10 +65,3 @@ export declare const _postPrecompute: PostPrecomputeFn;
  */
-export declare const bn254: BLSCurveFn;
-/**
- * bn254 weierstrass curve with ECDSA.
- * This is very rare and probably not used anywhere.
- * Instead, you should use G1 / G2, defined above.
- * @deprecated
- */
-export declare const bn254_weierstrass: CurveFn;
+export declare const bn254: BLSCurvePair;
 //# sourceMappingURL=bn254.d.ts.map

bn254.d.ts.map

@@ -1,1 +0,1 @@
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+{"version":3,"file":"bn254.d.ts","sourceRoot":"","sources":["src/bn254.ts"],"names":[],"mappings":"AAAA;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;GAsDG;AACH,sEAAsE;AACtE,OAAO,EAEL,KAAK,YAAY,EACjB,KAAK,gBAAgB,EAEtB,MAAM,mBAAmB,CAAC;AAC3B,OAAO,EAAS,KAAK,MAAM,EAAE,MAAM,uBAAuB,CAAC;AAyB3D,eAAO,MAAM,QAAQ,EAAE,MAAM,CAAC,MAAM,CAA2B,CAAC;AAoChE,eAAO,MAAM,eAAe,EAAE,gBAY7B,CAAC;AA8EF;;;GAGG;AAEH,eAAO,MAAM,KAAK,EAAE,YAAiE,CAAC"}

bn254.js

@@ -1,4 +0,1 @@
-"use strict";
-Object.defineProperty(exports, "__esModule", { value: true });
-exports.bn254_weierstrass = exports.bn254 = exports._postPrecompute = exports.bn254_Fr = void 0;
 /**
@@ -60,8 +57,7 @@ * bn254, previously known as alt_bn_128, when it had 128-bit security.
 /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-const sha2_js_1 = require("@noble/hashes/sha2.js");
-const bls_ts_1 = require("./abstract/bls.js");
-const modular_ts_1 = require("./abstract/modular.js");
-const tower_ts_1 = require("./abstract/tower.js");
-const weierstrass_ts_1 = require("./abstract/weierstrass.js");
-const utils_ts_1 = require("./utils.js");
+import { blsBasic, } from "./abstract/bls.js";
+import { Field } from "./abstract/modular.js";
+import { psiFrobenius, tower12 } from "./abstract/tower.js";
+import { weierstrass } from "./abstract/weierstrass.js";
+import { bitLen } from "./utils.js";
 // prettier-ignore
@@ -71,3 +67,3 @@ const _0n = BigInt(0), _1n = BigInt(1), _2n = BigInt(2), _3n = BigInt(3);
 const BN_X = BigInt('4965661367192848881');
-const BN_X_LEN = (0, utils_ts_1.bitLen)(BN_X);
+const BN_X_LEN = bitLen(BN_X);
 const SIX_X_SQUARED = _6n * BN_X ** _2n;
@@ -85,3 +81,3 @@ const bn254_G1_CURVE = {
 // Finite field over r. It's for convenience and is not used in the code below.
-exports.bn254_Fr = (0, modular_ts_1.Field)(bn254_G1_CURVE.n);
+export const bn254_Fr = Field(bn254_G1_CURVE.n);
 // Fp2.div(Fp2.mul(Fp2.ONE, _3n), Fp2.NONRESIDUE)
@@ -92,3 +88,3 @@ const Fp2B = {
 };
-const { Fp, Fp2, Fp6, Fp12 } = (0, tower_ts_1.tower12)({
+const { Fp, Fp2, Fp6, Fp12 } = tower12({
     ORDER: bn254_G1_CURVE.p,
@@ -112,21 +108,4 @@ X_LEN: BN_X_LEN,
 // END OF CURVE FIELDS
-const { G2psi, psi } = (0, tower_ts_1.psiFrobenius)(Fp, Fp2, Fp2.NONRESIDUE);
-/*
-No hashToCurve for now (and signatures):
-
-- RFC 9380 doesn't mention bn254 and doesn't provide test vectors
-- Overall seems like nobody is using BLS signatures on top of bn254
-- Seems like it can utilize SVDW, which is not implemented yet
-*/
-const htfDefaults = Object.freeze({
-    // DST: a domain separation tag defined in section 2.2.5
-    DST: 'BN254G2_XMD:SHA-256_SVDW_RO_',
-    encodeDST: 'BN254G2_XMD:SHA-256_SVDW_RO_',
-    p: Fp.ORDER,
-    m: 2,
-    k: 128,
-    expand: 'xmd',
-    hash: sha2_js_1.sha256,
-});
-const _postPrecompute = (Rx, Ry, Rz, Qx, Qy, pointAdd) => {
+const { G2psi, psi } = psiFrobenius(Fp, Fp2, Fp2.NONRESIDUE);
+export const _postPrecompute = (Rx, Ry, Rz, Qx, Qy, pointAdd) => {
     const q = psi(Qx, Qy);
@@ -137,3 +116,2 @@ ({ Rx, Ry, Rz } = pointAdd(Rx, Ry, Rz, q[0], q[1]));
 };
-exports._postPrecompute = _postPrecompute;
 // cofactor: (36 * X^4) + (36 * X^3) + (30 * X^2) + 6*X + 1
@@ -155,2 +133,59 @@ const bn254_G2_CURVE = {
 };
+const fields = { Fp, Fp2, Fp6, Fp12, Fr: bn254_Fr };
+const bn254_G1 = weierstrass(bn254_G1_CURVE, {
+    Fp,
+    Fn: bn254_Fr,
+    allowInfinityPoint: true,
+});
+const bn254_G2 = weierstrass(bn254_G2_CURVE, {
+    Fp: Fp2,
+    Fn: bn254_Fr,
+    allowInfinityPoint: true,
+    isTorsionFree: (c, P) => P.multiplyUnsafe(SIX_X_SQUARED).equals(G2psi(c, P)), // [p]P = [6X^2]P
+});
+/*
+No hashToCurve for now (and signatures):
+
+- RFC 9380 doesn't mention bn254 and doesn't provide test vectors
+- Overall seems like nobody is using BLS signatures on top of bn254
+- Seems like it can utilize SVDW, which is not implemented yet
+*/
+// const htfDefaults = Object.freeze({
+//   // DST: a domain separation tag defined in section 2.2.5
+//   DST: 'BN254G2_XMD:SHA-256_SVDW_RO_',
+//   encodeDST: 'BN254G2_XMD:SHA-256_SVDW_RO_',
+//   p: Fp.ORDER,
+//   m: 2,
+//   k: 128,
+//   expand: 'xmd',
+//   hash: sha256,
+// });
+// const hasherOpts = {
+//   { ...htfDefaults, m: 1, DST: 'BN254G2_XMD:SHA-256_SVDW_RO_' }
+// };
+const bn254_params = {
+    ateLoopSize: BN_X * _6n + _2n,
+    r: bn254_Fr.ORDER,
+    xNegative: false,
+    twistType: 'divisive',
+    postPrecompute: _postPrecompute,
+};
+// const bn254_hasher = {
+//   hasherOpts: htfDefaults,
+//   hasherOptsG1: { m: 1, DST: 'BN254G2_XMD:SHA-256_SVDW_RO_' },
+//   hasherOptsG2: htfDefaults
+// };
+// G2_heff     hEff: BigInt('21888242871839275222246405745257275088844257914179612981679871602714643921549'),
+// fromBytes: notImplemented,
+// toBytes: notImplemented,
+// mapToCurve: notImplemented,
+// fromBytes: notImplemented,
+// toBytes: notImplemented,
+// ShortSignature: {
+//   fromBytes: notImplemented,
+//   fromHex: notImplemented,
+//   toBytes: notImplemented,
+//   toRawBytes: notImplemented,
+//   toHex: notImplemented,
+// },
 /**
@@ -160,67 +195,4 @@ * bn254 (a.k.a. alt_bn128) pairing-friendly curve.
  */
-exports.bn254 = (0, bls_ts_1.bls)({
-    // Fields
-    fields: { Fp, Fp2, Fp6, Fp12, Fr: exports.bn254_Fr },
-    G1: {
-        ...bn254_G1_CURVE,
-        Fp,
-        htfDefaults: { ...htfDefaults, m: 1, DST: 'BN254G2_XMD:SHA-256_SVDW_RO_' },
-        wrapPrivateKey: true,
-        allowInfinityPoint: true,
-        mapToCurve: utils_ts_1.notImplemented,
-        fromBytes: utils_ts_1.notImplemented,
-        toBytes: utils_ts_1.notImplemented,
-        ShortSignature: {
-            fromBytes: utils_ts_1.notImplemented,
-            fromHex: utils_ts_1.notImplemented,
-            toBytes: utils_ts_1.notImplemented,
-            toRawBytes: utils_ts_1.notImplemented,
-            toHex: utils_ts_1.notImplemented,
-        },
-    },
-    G2: {
-        ...bn254_G2_CURVE,
-        Fp: Fp2,
-        hEff: BigInt('21888242871839275222246405745257275088844257914179612981679871602714643921549'),
-        htfDefaults: { ...htfDefaults },
-        wrapPrivateKey: true,
-        allowInfinityPoint: true,
-        isTorsionFree: (c, P) => P.multiplyUnsafe(SIX_X_SQUARED).equals(G2psi(c, P)), // [p]P = [6X^2]P
-        mapToCurve: utils_ts_1.notImplemented,
-        fromBytes: utils_ts_1.notImplemented,
-        toBytes: utils_ts_1.notImplemented,
-        Signature: {
-            fromBytes: utils_ts_1.notImplemented,
-            fromHex: utils_ts_1.notImplemented,
-            toBytes: utils_ts_1.notImplemented,
-            toRawBytes: utils_ts_1.notImplemented,
-            toHex: utils_ts_1.notImplemented,
-        },
-    },
-    params: {
-        ateLoopSize: BN_X * _6n + _2n,
-        r: exports.bn254_Fr.ORDER,
-        xNegative: false,
-        twistType: 'divisive',
-    },
-    htfDefaults,
-    hash: sha2_js_1.sha256,
-    postPrecompute: exports._postPrecompute,
-});
-/**
- * bn254 weierstrass curve with ECDSA.
- * This is very rare and probably not used anywhere.
- * Instead, you should use G1 / G2, defined above.
- * @deprecated
- */
-exports.bn254_weierstrass = (0, weierstrass_ts_1.weierstrass)({
-    a: BigInt(0),
-    b: BigInt(3),
-    Fp,
-    n: BigInt('21888242871839275222246405745257275088548364400416034343698204186575808495617'),
-    Gx: BigInt(1),
-    Gy: BigInt(2),
-    h: BigInt(1),
-    hash: sha2_js_1.sha256,
-});
+// bn254_hasher
+export const bn254 = blsBasic(fields, bn254_G1, bn254_G2, bn254_params);
 //# sourceMappingURL=bn254.js.map

bn254.js.map

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ed25519.d.ts

 import { type AffinePoint } from './abstract/curve.ts';
-import { PrimeEdwardsPoint, type CurveFn, type EdwardsPoint } from './abstract/edwards.ts';
-import { type H2CHasher, type H2CHasherBase, type H2CMethod, type htfBasicOpts } from './abstract/hash-to-curve.ts';
+import { PrimeEdwardsPoint, type EdDSA, type EdwardsPoint, type EdwardsPointCons } from './abstract/edwards.ts';
+import { type H2CHasher, type H2CHasherBase } from './abstract/hash-to-curve.ts';
 import { type IField } from './abstract/modular.ts';
-import { type MontgomeryECDH as XCurveFn } from './abstract/montgomery.ts';
-import { type Hex } from './utils.ts';
+import { type MontgomeryECDH } from './abstract/montgomery.ts';
+import { type OPRF } from './abstract/oprf.ts';
 /**
@@ -17,7 +17,7 @@ * ed25519 curve with EdDSA signatures.
  */
-export declare const ed25519: CurveFn;
+export declare const ed25519: EdDSA;
 /** Context of ed25519. Uses context for domain separation. */
-export declare const ed25519ctx: CurveFn;
+export declare const ed25519ctx: EdDSA;
 /** Prehashed version of ed25519. Accepts already-hashed messages in sign() and verify(). */
-export declare const ed25519ph: CurveFn;
+export declare const ed25519ph: EdDSA;
 /**
@@ -33,5 +33,5 @@ * ECDH using curve25519 aka x25519.
  */
-export declare const x25519: XCurveFn;
+export declare const x25519: MontgomeryECDH;
 /** Hashing to ed25519 points / field. RFC 9380 methods. */
-export declare const ed25519_hasher: H2CHasher<bigint>;
+export declare const ed25519_hasher: H2CHasher<EdwardsPointCons>;
 type ExtendedPoint = EdwardsPoint;
@@ -56,4 +56,2 @@ /**
     protected init(ep: EdwardsPoint): _RistrettoPoint;
-    /** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */
-    static hashToCurve(hex: Hex): _RistrettoPoint;
     static fromBytes(bytes: Uint8Array): _RistrettoPoint;
@@ -65,4 +63,3 @@ /**
      */
-    static fromHex(hex: Hex): _RistrettoPoint;
-    static msm(points: _RistrettoPoint[], scalars: bigint[]): _RistrettoPoint;
+    static fromHex(hex: string): _RistrettoPoint;
     /**
@@ -84,3 +81,4 @@ * Encodes ristretto point to Uint8Array.
 /** Hashing to ristretto255 points / field. RFC 9380 methods. */
-export declare const ristretto255_hasher: H2CHasherBase<bigint>;
+export declare const ristretto255_hasher: H2CHasherBase<_RistrettoPoint>;
+export declare const ristretto255_oprf: OPRF;
 /**
@@ -93,20 +91,3 @@ * Weird / bogus points, useful for debugging.
 export declare const ED25519_TORSION_SUBGROUP: string[];
-/** @deprecated use `ed25519.utils.toMontgomery` */
-export declare function edwardsToMontgomeryPub(edwardsPub: Hex): Uint8Array;
-/** @deprecated use `ed25519.utils.toMontgomery` */
-export declare const edwardsToMontgomery: typeof edwardsToMontgomeryPub;
-/** @deprecated use `ed25519.utils.toMontgomeryPriv` */
-export declare function edwardsToMontgomeryPriv(edwardsPriv: Uint8Array): Uint8Array;
-/** @deprecated use `ristretto255.Point` */
-export declare const RistrettoPoint: typeof _RistrettoPoint;
-/** @deprecated use `import { ed25519_hasher } from '@noble/curves/ed25519.js';` */
-export declare const hashToCurve: H2CMethod<bigint>;
-/** @deprecated use `import { ed25519_hasher } from '@noble/curves/ed25519.js';` */
-export declare const encodeToCurve: H2CMethod<bigint>;
-type RistHasher = (msg: Uint8Array, options: htfBasicOpts) => _RistrettoPoint;
-/** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */
-export declare const hashToRistretto255: RistHasher;
-/** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */
-export declare const hash_to_ristretto255: RistHasher;
 export {};
 //# sourceMappingURL=ed25519.d.ts.map

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ed25519.js

@@ -1,6 +0,1 @@
-"use strict";
-Object.defineProperty(exports, "__esModule", { value: true });
-exports.hash_to_ristretto255 = exports.hashToRistretto255 = exports.encodeToCurve = exports.hashToCurve = exports.RistrettoPoint = exports.edwardsToMontgomery = exports.ED25519_TORSION_SUBGROUP = exports.ristretto255_hasher = exports.ristretto255 = exports.ed25519_hasher = exports.x25519 = exports.ed25519ph = exports.ed25519ctx = exports.ed25519 = void 0;
-exports.edwardsToMontgomeryPub = edwardsToMontgomeryPub;
-exports.edwardsToMontgomeryPriv = edwardsToMontgomeryPriv;
 /**
@@ -14,10 +9,11 @@ * ed25519 Twisted Edwards curve with following addons:
 /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-const sha2_js_1 = require("@noble/hashes/sha2.js");
-const utils_js_1 = require("@noble/hashes/utils.js");
-const curve_ts_1 = require("./abstract/curve.js");
-const edwards_ts_1 = require("./abstract/edwards.js");
-const hash_to_curve_ts_1 = require("./abstract/hash-to-curve.js");
-const modular_ts_1 = require("./abstract/modular.js");
-const montgomery_ts_1 = require("./abstract/montgomery.js");
-const utils_ts_1 = require("./utils.js");
+import { sha512 } from '@noble/hashes/sha2.js';
+import { abytes, concatBytes, hexToBytes } from '@noble/hashes/utils.js';
+import {} from "./abstract/curve.js";
+import { eddsa, edwards, PrimeEdwardsPoint, } from "./abstract/edwards.js";
+import { _DST_scalar, createHasher, expand_message_xmd, } from "./abstract/hash-to-curve.js";
+import { FpInvertBatch, FpSqrtEven, isNegativeLE, mod, pow2, } from "./abstract/modular.js";
+import { montgomery } from "./abstract/montgomery.js";
+import { createORPF } from "./abstract/oprf.js";
+import { asciiToBytes, bytesToNumberLE, equalBytes } from "./utils.js";
 // prettier-ignore
@@ -27,3 +23,3 @@ const _0n = /* @__PURE__ */ BigInt(0), _1n = BigInt(1), _2n = BigInt(2), _3n = BigInt(3);
 const _5n = BigInt(5), _8n = BigInt(8);
-// P = 2n**255n-19n
+// P = 2n**255n - 19n
 const ed25519_CURVE_p = BigInt('0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed');
@@ -48,12 +44,12 @@ // N = 2n**252n + 27742317777372353535851937790883648493n
     const b2 = (x2 * x) % P; // x^3, 11
-    const b4 = ((0, modular_ts_1.pow2)(b2, _2n, P) * b2) % P; // x^15, 1111
-    const b5 = ((0, modular_ts_1.pow2)(b4, _1n, P) * x) % P; // x^31
-    const b10 = ((0, modular_ts_1.pow2)(b5, _5n, P) * b5) % P;
-    const b20 = ((0, modular_ts_1.pow2)(b10, _10n, P) * b10) % P;
-    const b40 = ((0, modular_ts_1.pow2)(b20, _20n, P) * b20) % P;
-    const b80 = ((0, modular_ts_1.pow2)(b40, _40n, P) * b40) % P;
-    const b160 = ((0, modular_ts_1.pow2)(b80, _80n, P) * b80) % P;
-    const b240 = ((0, modular_ts_1.pow2)(b160, _80n, P) * b80) % P;
-    const b250 = ((0, modular_ts_1.pow2)(b240, _10n, P) * b10) % P;
-    const pow_p_5_8 = ((0, modular_ts_1.pow2)(b250, _2n, P) * x) % P;
+    const b4 = (pow2(b2, _2n, P) * b2) % P; // x^15, 1111
+    const b5 = (pow2(b4, _1n, P) * x) % P; // x^31
+    const b10 = (pow2(b5, _5n, P) * b5) % P;
+    const b20 = (pow2(b10, _10n, P) * b10) % P;
+    const b40 = (pow2(b20, _20n, P) * b20) % P;
+    const b80 = (pow2(b40, _40n, P) * b40) % P;
+    const b160 = (pow2(b80, _80n, P) * b80) % P;
+    const b240 = (pow2(b160, _80n, P) * b80) % P;
+    const b250 = (pow2(b240, _10n, P) * b10) % P;
+    const pow_p_5_8 = (pow2(b250, _2n, P) * x) % P;
     // ^ To pow to (p+3)/8, multiply it by x.
@@ -78,13 +74,13 @@ return { pow_p_5_8, b2 };
     const P = ed25519_CURVE_p;
-    const v3 = (0, modular_ts_1.mod)(v * v * v, P); // v³
-    const v7 = (0, modular_ts_1.mod)(v3 * v3 * v, P); // v⁷
+    const v3 = mod(v * v * v, P); // v³
+    const v7 = mod(v3 * v3 * v, P); // v⁷
     // (p+3)/8 and (p-5)/8
     const pow = ed25519_pow_2_252_3(u * v7).pow_p_5_8;
-    let x = (0, modular_ts_1.mod)(u * v3 * pow, P); // (uv³)(uv⁷)^(p-5)/8
-    const vx2 = (0, modular_ts_1.mod)(v * x * x, P); // vx²
+    let x = mod(u * v3 * pow, P); // (uv³)(uv⁷)^(p-5)/8
+    const vx2 = mod(v * x * x, P); // vx²
     const root1 = x; // First root candidate
-    const root2 = (0, modular_ts_1.mod)(x * ED25519_SQRT_M1, P); // Second root candidate
+    const root2 = mod(x * ED25519_SQRT_M1, P); // Second root candidate
     const useRoot1 = vx2 === u; // If vx² = u (mod p), x is a square root
-    const useRoot2 = vx2 === (0, modular_ts_1.mod)(-u, P); // If vx² = -u, set x <-- x * 2^((p-1)/4)
-    const noRoot = vx2 === (0, modular_ts_1.mod)(-u * ED25519_SQRT_M1, P); // There is no valid root, vx² = -u√(-1)
+    const useRoot2 = vx2 === mod(-u, P); // If vx² = -u, set x <-- x * 2^((p-1)/4)
+    const noRoot = vx2 === mod(-u * ED25519_SQRT_M1, P); // There is no valid root, vx² = -u√(-1)
     if (useRoot1)
@@ -94,18 +90,18 @@ x = root1;
         x = root2; // We return root2 anyway, for const-time
-    if ((0, modular_ts_1.isNegativeLE)(x, P))
-        x = (0, modular_ts_1.mod)(-x, P);
+    if (isNegativeLE(x, P))
+        x = mod(-x, P);
     return { isValid: useRoot1 || useRoot2, value: x };
 }
-const Fp = /* @__PURE__ */ (() => (0, modular_ts_1.Field)(ed25519_CURVE.p, { isLE: true }))();
-const Fn = /* @__PURE__ */ (() => (0, modular_ts_1.Field)(ed25519_CURVE.n, { isLE: true }))();
-const ed25519Defaults = /* @__PURE__ */ (() => ({
-    ...ed25519_CURVE,
-    Fp,
-    hash: sha2_js_1.sha512,
-    adjustScalarBytes,
-    // dom2
-    // Ratio of u to v. Allows us to combine inversion and square root. Uses algo from RFC8032 5.1.3.
-    // Constant-time, u/√v
-    uvRatio,
-}))();
+const ed25519_Point = /* @__PURE__ */ edwards(ed25519_CURVE, { uvRatio });
+const Fp = /* @__PURE__ */ (() => ed25519_Point.Fp)();
+const Fn = /* @__PURE__ */ (() => ed25519_Point.Fn)();
+const ed25519_eddsa_opts = { adjustScalarBytes };
+function ed25519_domain(data, ctx, phflag) {
+    if (ctx.length > 255)
+        throw new Error('Context is too big');
+    return concatBytes(asciiToBytes('SigEd25519 no Ed25519 collisions'), new Uint8Array([phflag ? 1 : 0, ctx.length]), ctx, data);
+}
+function _ed(opts) {
+    return eddsa(ed25519_Point, sha512, Object.assign({}, ed25519_eddsa_opts, opts));
+}
 /**
@@ -121,18 +117,7 @@ * ed25519 curve with EdDSA signatures.
  */
-exports.ed25519 = (() => (0, edwards_ts_1.twistedEdwards)(ed25519Defaults))();
-function ed25519_domain(data, ctx, phflag) {
-    if (ctx.length > 255)
-        throw new Error('Context is too big');
-    return (0, utils_js_1.concatBytes)((0, utils_js_1.utf8ToBytes)('SigEd25519 no Ed25519 collisions'), new Uint8Array([phflag ? 1 : 0, ctx.length]), ctx, data);
-}
+export const ed25519 = /* @__PURE__ */ _ed({});
 /** Context of ed25519. Uses context for domain separation. */
-exports.ed25519ctx = (() => (0, edwards_ts_1.twistedEdwards)({
-    ...ed25519Defaults,
-    domain: ed25519_domain,
-}))();
+export const ed25519ctx = /* @__PURE__ */ _ed({ domain: ed25519_domain });
 /** Prehashed version of ed25519. Accepts already-hashed messages in sign() and verify(). */
-exports.ed25519ph = (() => (0, edwards_ts_1.twistedEdwards)(Object.assign({}, ed25519Defaults, {
-    domain: ed25519_domain,
-    prehash: sha2_js_1.sha512,
-})))();
+export const ed25519ph = /* @__PURE__ */ _ed({ domain: ed25519_domain, prehash: sha512 });
 /**
@@ -148,5 +133,5 @@ * ECDH using curve25519 aka x25519.
  */
-exports.x25519 = (() => {
-    const P = Fp.ORDER;
-    return (0, montgomery_ts_1.montgomery)({
+export const x25519 = /* @__PURE__ */ (() => {
+    const P = ed25519_CURVE_p;
+    return montgomery({
         P,
@@ -157,3 +142,3 @@ type: 'x25519',
             const { pow_p_5_8, b2 } = ed25519_pow_2_252_3(x);
-            return (0, modular_ts_1.mod)((0, modular_ts_1.pow2)(pow_p_5_8, _3n, P) * b2, P);
+            return mod(pow2(pow_p_5_8, _3n, P) * b2, P);
         },
@@ -213,3 +198,3 @@ adjustScalarBytes,
 }
-const ELL2_C1_EDWARDS = /* @__PURE__ */ (() => (0, modular_ts_1.FpSqrtEven)(Fp, Fp.neg(BigInt(486664))))(); // sgn0(c1) MUST equal 0
+const ELL2_C1_EDWARDS = /* @__PURE__ */ (() => FpSqrtEven(Fp, Fp.neg(BigInt(486664))))(); // sgn0(c1) MUST equal 0
 function map_to_curve_elligator2_edwards25519(u) {
@@ -229,7 +214,7 @@ const { xMn, xMd, yMn, yMd } = map_to_curve_elligator2_curve25519(u); //  1.  (xMn, xMd, yMn, yMd) =
     yd = Fp.cmov(yd, Fp.ONE, e); //  12. yd = CMOV(yd, 1, e)
-    const [xd_inv, yd_inv] = (0, modular_ts_1.FpInvertBatch)(Fp, [xd, yd], true); // batch division
+    const [xd_inv, yd_inv] = FpInvertBatch(Fp, [xd, yd], true); // batch division
     return { x: Fp.mul(xn, xd_inv), y: Fp.mul(yn, yd_inv) }; //  13. return (xn, xd, yn, yd)
 }
 /** Hashing to ed25519 points / field. RFC 9380 methods. */
-exports.ed25519_hasher = (() => (0, hash_to_curve_ts_1.createHasher)(exports.ed25519.Point, (scalars) => map_to_curve_elligator2_edwards25519(scalars[0]), {
+export const ed25519_hasher = /* @__PURE__ */ (() => createHasher(ed25519_Point, (scalars) => map_to_curve_elligator2_edwards25519(scalars[0]), {
     DST: 'edwards25519_XMD:SHA-512_ELL2_RO_',
@@ -241,3 +226,3 @@ encodeDST: 'edwards25519_XMD:SHA-512_ELL2_NU_',
     expand: 'xmd',
-    hash: sha2_js_1.sha512,
+    hash: sha512,
 }))();
@@ -257,3 +242,3 @@ // √(-1) aka √(a) aka 2^((p-1)/4)
 const MAX_255B = /* @__PURE__ */ BigInt('0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff');
-const bytes255ToNumberLE = (bytes) => exports.ed25519.Point.Fp.create((0, utils_ts_1.bytesToNumberLE)(bytes) & MAX_255B);
+const bytes255ToNumberLE = (bytes) => Fp.create(bytesToNumberLE(bytes) & MAX_255B);
 /**
@@ -274,3 +259,3 @@ * Computes Elligator map for Ristretto255.
     let s_ = mod(s * r0); // 6
-    if (!(0, modular_ts_1.isNegativeLE)(s_, P))
+    if (!isNegativeLE(s_, P))
         s_ = mod(-s_);
@@ -287,6 +272,6 @@ if (!Ns_D_is_sq)
     const W3 = mod(_1n + s2); // 13
-    return new exports.ed25519.Point(mod(W0 * W3), mod(W2 * W1), mod(W1 * W3), mod(W0 * W2));
+    return new ed25519_Point(mod(W0 * W3), mod(W2 * W1), mod(W1 * W3), mod(W0 * W2));
 }
 function ristretto255_map(bytes) {
-    (0, utils_js_1.abytes)(bytes, 64);
+    abytes(bytes, 64);
     const r1 = bytes255ToNumberLE(bytes.subarray(0, 32));
@@ -307,3 +292,17 @@ const R1 = calcElligatorRistrettoMap(r1);
  */
-class _RistrettoPoint extends edwards_ts_1.PrimeEdwardsPoint {
+class _RistrettoPoint extends PrimeEdwardsPoint {
+    // Do NOT change syntax: the following gymnastics is done,
+    // because typescript strips comments, which makes bundlers disable tree-shaking.
+    // prettier-ignore
+    static BASE = 
+    /* @__PURE__ */ (() => new _RistrettoPoint(ed25519_Point.BASE))();
+    // prettier-ignore
+    static ZERO = 
+    /* @__PURE__ */ (() => new _RistrettoPoint(ed25519_Point.ZERO))();
+    // prettier-ignore
+    static Fp = 
+    /* @__PURE__ */ (() => Fp)();
+    // prettier-ignore
+    static Fn = 
+    /* @__PURE__ */ (() => Fn)();
     constructor(ep) {
@@ -313,3 +312,3 @@ super(ep);
     static fromAffine(ap) {
-        return new _RistrettoPoint(exports.ed25519.Point.fromAffine(ap));
+        return new _RistrettoPoint(ed25519_Point.fromAffine(ap));
     }
@@ -323,8 +322,4 @@ assertSame(other) {
     }
-    /** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */
-    static hashToCurve(hex) {
-        return ristretto255_map((0, utils_ts_1.ensureBytes)('ristrettoHash', hex, 64));
-    }
     static fromBytes(bytes) {
-        (0, utils_js_1.abytes)(bytes, 32);
+        abytes(bytes, 32);
         const { a, d } = ed25519_CURVE;
@@ -336,3 +331,3 @@ const P = ed25519_CURVE_p;
         // 3. Check that s is non-negative, or else abort
-        if (!(0, utils_ts_1.equalBytes)(Fp.toBytes(s), bytes) || (0, modular_ts_1.isNegativeLE)(s, P))
+        if (!equalBytes(Fp.toBytes(s), bytes) || isNegativeLE(s, P))
             throw new Error('invalid ristretto255 encoding 1');
@@ -349,9 +344,9 @@ const s2 = mod(s * s);
         let x = mod((s + s) * Dx); // 10
-        if ((0, modular_ts_1.isNegativeLE)(x, P))
+        if (isNegativeLE(x, P))
             x = mod(-x); // 10
         const y = mod(u1 * Dy); // 11
         const t = mod(x * y); // 12
-        if (!isValid || (0, modular_ts_1.isNegativeLE)(t, P) || y === _0n)
+        if (!isValid || isNegativeLE(t, P) || y === _0n)
             throw new Error('invalid ristretto255 encoding 2');
-        return new _RistrettoPoint(new exports.ed25519.Point(x, y, _1n, t));
+        return new _RistrettoPoint(new ed25519_Point(x, y, _1n, t));
     }
@@ -364,7 +359,4 @@ /**
     static fromHex(hex) {
-        return _RistrettoPoint.fromBytes((0, utils_ts_1.ensureBytes)('ristrettoHex', hex, 32));
+        return _RistrettoPoint.fromBytes(hexToBytes(hex));
     }
-    static msm(points, scalars) {
-        return (0, curve_ts_1.pippenger)(_RistrettoPoint, exports.ed25519.Point.Fn, points, scalars);
-    }
     /**
@@ -387,3 +379,3 @@ * Encodes ristretto point to Uint8Array.
         let D; // 7
-        if ((0, modular_ts_1.isNegativeLE)(T * zInv, P)) {
+        if (isNegativeLE(T * zInv, P)) {
             let _x = mod(Y * SQRT_M1);
@@ -398,6 +390,6 @@ let _y = mod(X * SQRT_M1);
         }
-        if ((0, modular_ts_1.isNegativeLE)(X * zInv, P))
+        if (isNegativeLE(X * zInv, P))
             Y = mod(-Y); // 9
         let s = mod((Z - Y) * D); // 10 (check footer's note, no sqrt(-a))
-        if ((0, modular_ts_1.isNegativeLE)(s, P))
+        if (isNegativeLE(s, P))
             s = mod(-s);
@@ -424,36 +416,22 @@ return Fp.toBytes(s); // 11
 }
-// Do NOT change syntax: the following gymnastics is done,
-// because typescript strips comments, which makes bundlers disable tree-shaking.
-// prettier-ignore
-_RistrettoPoint.BASE = 
-/* @__PURE__ */ (() => new _RistrettoPoint(exports.ed25519.Point.BASE))();
-// prettier-ignore
-_RistrettoPoint.ZERO = 
-/* @__PURE__ */ (() => new _RistrettoPoint(exports.ed25519.Point.ZERO))();
-// prettier-ignore
-_RistrettoPoint.Fp = 
-/* @__PURE__ */ (() => Fp)();
-// prettier-ignore
-_RistrettoPoint.Fn = 
-/* @__PURE__ */ (() => Fn)();
-exports.ristretto255 = { Point: _RistrettoPoint };
+export const ristretto255 = { Point: _RistrettoPoint };
 /** Hashing to ristretto255 points / field. RFC 9380 methods. */
-exports.ristretto255_hasher = {
+export const ristretto255_hasher = {
     hashToCurve(msg, options) {
         const DST = options?.DST || 'ristretto255_XMD:SHA-512_R255MAP_RO_';
-        const xmd = (0, hash_to_curve_ts_1.expand_message_xmd)(msg, DST, 64, sha2_js_1.sha512);
+        const xmd = expand_message_xmd(msg, DST, 64, sha512);
         return ristretto255_map(xmd);
     },
-    hashToScalar(msg, options = { DST: hash_to_curve_ts_1._DST_scalar }) {
-        const xmd = (0, hash_to_curve_ts_1.expand_message_xmd)(msg, options.DST, 64, sha2_js_1.sha512);
-        return Fn.create((0, utils_ts_1.bytesToNumberLE)(xmd));
+    hashToScalar(msg, options = { DST: _DST_scalar }) {
+        const xmd = expand_message_xmd(msg, options.DST, 64, sha512);
+        return Fn.create(bytesToNumberLE(xmd));
     },
 };
-// export const ristretto255_oprf: OPRF = createORPF({
-//   name: 'ristretto255-SHA512',
-//   Point: RistrettoPoint,
-//   hash: sha512,
-//   hashToGroup: ristretto255_hasher.hashToCurve,
-//   hashToScalar: ristretto255_hasher.hashToScalar,
-// });
+export const ristretto255_oprf = /* @__PURE__ */ (() => createORPF({
+    name: 'ristretto255-SHA512',
+    Point: _RistrettoPoint,
+    hash: sha512,
+    hashToGroup: ristretto255_hasher.hashToCurve,
+    hashToScalar: ristretto255_hasher.hashToScalar,
+}))();
 /**
@@ -465,3 +443,3 @@ * Weird / bogus points, useful for debugging.
  */
-exports.ED25519_TORSION_SUBGROUP = [
+export const ED25519_TORSION_SUBGROUP = [
     '0100000000000000000000000000000000000000000000000000000000000000',
@@ -476,22 +454,2 @@ 'c7176a703d4dd84fba3c0b760d10670f2a2053fa2c39ccc64ec7fd7792ac037a',
 ];
-/** @deprecated use `ed25519.utils.toMontgomery` */
-function edwardsToMontgomeryPub(edwardsPub) {
-    return exports.ed25519.utils.toMontgomery((0, utils_ts_1.ensureBytes)('pub', edwardsPub));
-}
-/** @deprecated use `ed25519.utils.toMontgomery` */
-exports.edwardsToMontgomery = edwardsToMontgomeryPub;
-/** @deprecated use `ed25519.utils.toMontgomeryPriv` */
-function edwardsToMontgomeryPriv(edwardsPriv) {
-    return exports.ed25519.utils.toMontgomeryPriv((0, utils_ts_1.ensureBytes)('pub', edwardsPriv));
-}
-/** @deprecated use `ristretto255.Point` */
-exports.RistrettoPoint = _RistrettoPoint;
-/** @deprecated use `import { ed25519_hasher } from '@noble/curves/ed25519.js';` */
-exports.hashToCurve = (() => exports.ed25519_hasher.hashToCurve)();
-/** @deprecated use `import { ed25519_hasher } from '@noble/curves/ed25519.js';` */
-exports.encodeToCurve = (() => exports.ed25519_hasher.encodeToCurve)();
-/** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */
-exports.hashToRistretto255 = (() => exports.ristretto255_hasher.hashToCurve)();
-/** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */
-exports.hash_to_ristretto255 = (() => exports.ristretto255_hasher.hashToCurve)();
 //# sourceMappingURL=ed25519.js.map

ed25519.js.map

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ed448.d.ts

 import type { AffinePoint } from './abstract/curve.ts';
-import { PrimeEdwardsPoint, type CurveFn, type EdwardsPoint, type EdwardsPointCons } from './abstract/edwards.ts';
-import { type H2CHasher, type H2CHasherBase, type H2CMethod, type htfBasicOpts } from './abstract/hash-to-curve.ts';
+import { PrimeEdwardsPoint, type EdDSA, type EdwardsPoint, type EdwardsPointCons } from './abstract/edwards.ts';
+import { type H2CHasher, type H2CHasherBase } from './abstract/hash-to-curve.ts';
 import { type IField } from './abstract/modular.ts';
-import { type MontgomeryECDH as XCurveFn } from './abstract/montgomery.ts';
-import { type Hex } from './utils.ts';
+import { type MontgomeryECDH } from './abstract/montgomery.ts';
+import { type OPRF } from './abstract/oprf.ts';
 /**
@@ -16,5 +16,5 @@ * ed448 EdDSA curve and methods.
  */
-export declare const ed448: CurveFn;
+export declare const ed448: EdDSA;
 /** Prehashed version of ed448. Accepts already-hashed messages in sign() and verify(). */
-export declare const ed448ph: CurveFn;
+export declare const ed448ph: EdDSA;
 /**
@@ -31,5 +31,5 @@ * E448 curve, defined by NIST.
  */
-export declare const x448: XCurveFn;
+export declare const x448: MontgomeryECDH;
 /** Hashing / encoding to ed448 points / field. RFC 9380 methods. */
-export declare const ed448_hasher: H2CHasher<bigint>;
+export declare const ed448_hasher: H2CHasher<EdwardsPointCons>;
 /**
@@ -51,4 +51,2 @@ * Each ed448/EdwardsPoint has 4 different equivalent points. This can be
     protected init(ep: EdwardsPoint): _DecafPoint;
-    /** @deprecated use `import { decaf448_hasher } from '@noble/curves/ed448.js';` */
-    static hashToCurve(hex: Hex): _DecafPoint;
     static fromBytes(bytes: Uint8Array): _DecafPoint;
@@ -60,5 +58,3 @@ /**
      */
-    static fromHex(hex: Hex): _DecafPoint;
-    /** @deprecated use `import { pippenger } from '@noble/curves/abstract/curve.js';` */
-    static msm(points: _DecafPoint[], scalars: bigint[]): _DecafPoint;
+    static fromHex(hex: string): _DecafPoint;
     /**
@@ -80,3 +76,4 @@ * Encodes decaf point to Uint8Array.
 /** Hashing to decaf448 points / field. RFC 9380 methods. */
-export declare const decaf448_hasher: H2CHasherBase<bigint>;
+export declare const decaf448_hasher: H2CHasherBase<_DecafPoint>;
+export declare const decaf448_oprf: OPRF;
 /**
@@ -89,18 +86,3 @@ * Weird / bogus points, useful for debugging.
 export declare const ED448_TORSION_SUBGROUP: string[];
-type DcfHasher = (msg: Uint8Array, options: htfBasicOpts) => _DecafPoint;
-/** @deprecated use `decaf448.Point` */
-export declare const DecafPoint: typeof _DecafPoint;
-/** @deprecated use `import { ed448_hasher } from '@noble/curves/ed448.js';` */
-export declare const hashToCurve: H2CMethod<bigint>;
-/** @deprecated use `import { ed448_hasher } from '@noble/curves/ed448.js';` */
-export declare const encodeToCurve: H2CMethod<bigint>;
-/** @deprecated use `import { decaf448_hasher } from '@noble/curves/ed448.js';` */
-export declare const hashToDecaf448: DcfHasher;
-/** @deprecated use `import { decaf448_hasher } from '@noble/curves/ed448.js';` */
-export declare const hash_to_decaf448: DcfHasher;
-/** @deprecated use `ed448.utils.toMontgomery` */
-export declare function edwardsToMontgomeryPub(edwardsPub: string | Uint8Array): Uint8Array;
-/** @deprecated use `ed448.utils.toMontgomery` */
-export declare const edwardsToMontgomery: typeof edwardsToMontgomeryPub;
 export {};
 //# sourceMappingURL=ed448.d.ts.map

ed448.d.ts.map

@@ -1,1 +0,1 @@
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ed448.js

@@ -1,5 +0,1 @@
-"use strict";
-Object.defineProperty(exports, "__esModule", { value: true });
-exports.edwardsToMontgomery = exports.hash_to_decaf448 = exports.hashToDecaf448 = exports.encodeToCurve = exports.hashToCurve = exports.DecafPoint = exports.ED448_TORSION_SUBGROUP = exports.decaf448_hasher = exports.decaf448 = exports.ed448_hasher = exports.x448 = exports.E448 = exports.ed448ph = exports.ed448 = void 0;
-exports.edwardsToMontgomeryPub = edwardsToMontgomeryPub;
 /**
@@ -14,10 +10,10 @@ * Edwards448 (not Ed448-Goldilocks) curve with following addons:
 /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-const sha3_js_1 = require("@noble/hashes/sha3.js");
-const utils_js_1 = require("@noble/hashes/utils.js");
-const curve_ts_1 = require("./abstract/curve.js");
-const edwards_ts_1 = require("./abstract/edwards.js");
-const hash_to_curve_ts_1 = require("./abstract/hash-to-curve.js");
-const modular_ts_1 = require("./abstract/modular.js");
-const montgomery_ts_1 = require("./abstract/montgomery.js");
-const utils_ts_1 = require("./utils.js");
+import { shake256 } from '@noble/hashes/sha3.js';
+import { concatBytes, hexToBytes, createHasher as wrapConstructor } from '@noble/hashes/utils.js';
+import { eddsa, edwards, PrimeEdwardsPoint, } from "./abstract/edwards.js";
+import { _DST_scalar, createHasher, expand_message_xof, } from "./abstract/hash-to-curve.js";
+import { Field, FpInvertBatch, isNegativeLE, mod, pow2 } from "./abstract/modular.js";
+import { montgomery } from "./abstract/montgomery.js";
+import { createORPF } from "./abstract/oprf.js";
+import { abytes, asciiToBytes, bytesToNumberLE, equalBytes } from "./utils.js";
 // edwards448 curve
@@ -46,4 +42,4 @@ // a = 1n
 });
-const shake256_114 = /* @__PURE__ */ (0, utils_js_1.createHasher)(() => sha3_js_1.shake256.create({ dkLen: 114 }));
-const shake256_64 = /* @__PURE__ */ (0, utils_js_1.createHasher)(() => sha3_js_1.shake256.create({ dkLen: 64 }));
+const shake256_114 = /* @__PURE__ */ wrapConstructor(() => shake256.create({ dkLen: 114 }));
+const shake256_64 = /* @__PURE__ */ wrapConstructor(() => shake256.create({ dkLen: 64 }));
 // prettier-ignore
@@ -60,13 +56,13 @@ const _1n = BigInt(1), _2n = BigInt(2), _3n = BigInt(3), _4n = BigInt(4), _11n = BigInt(11);
     const b3 = (b2 * b2 * x) % P;
-    const b6 = ((0, modular_ts_1.pow2)(b3, _3n, P) * b3) % P;
-    const b9 = ((0, modular_ts_1.pow2)(b6, _3n, P) * b3) % P;
-    const b11 = ((0, modular_ts_1.pow2)(b9, _2n, P) * b2) % P;
-    const b22 = ((0, modular_ts_1.pow2)(b11, _11n, P) * b11) % P;
-    const b44 = ((0, modular_ts_1.pow2)(b22, _22n, P) * b22) % P;
-    const b88 = ((0, modular_ts_1.pow2)(b44, _44n, P) * b44) % P;
-    const b176 = ((0, modular_ts_1.pow2)(b88, _88n, P) * b88) % P;
-    const b220 = ((0, modular_ts_1.pow2)(b176, _44n, P) * b44) % P;
-    const b222 = ((0, modular_ts_1.pow2)(b220, _2n, P) * b2) % P;
-    const b223 = ((0, modular_ts_1.pow2)(b222, _1n, P) * x) % P;
-    return ((0, modular_ts_1.pow2)(b223, _223n, P) * b222) % P;
+    const b6 = (pow2(b3, _3n, P) * b3) % P;
+    const b9 = (pow2(b6, _3n, P) * b3) % P;
+    const b11 = (pow2(b9, _2n, P) * b2) % P;
+    const b22 = (pow2(b11, _11n, P) * b11) % P;
+    const b44 = (pow2(b22, _22n, P) * b22) % P;
+    const b88 = (pow2(b44, _44n, P) * b44) % P;
+    const b176 = (pow2(b88, _88n, P) * b88) % P;
+    const b220 = (pow2(b176, _44n, P) * b44) % P;
+    const b222 = (pow2(b220, _2n, P) * b2) % P;
+    const b223 = (pow2(b222, _1n, P) * x) % P;
+    return (pow2(b223, _223n, P) * b222) % P;
 }
@@ -92,12 +88,12 @@ function adjustScalarBytes(bytes) {
     // x = (u/v)^((p+1)/4)   = u³v(u⁵v³)^((p-3)/4)   (mod p)
-    const u2v = (0, modular_ts_1.mod)(u * u * v, P); // u²v
-    const u3v = (0, modular_ts_1.mod)(u2v * u, P); // u³v
-    const u5v3 = (0, modular_ts_1.mod)(u3v * u2v * v, P); // u⁵v³
+    const u2v = mod(u * u * v, P); // u²v
+    const u3v = mod(u2v * u, P); // u³v
+    const u5v3 = mod(u3v * u2v * v, P); // u⁵v³
     const root = ed448_pow_Pminus3div4(u5v3);
-    const x = (0, modular_ts_1.mod)(u3v * root, P);
+    const x = mod(u3v * root, P);
     // Verify that root is exists
-    const x2 = (0, modular_ts_1.mod)(x * x, P); // x²
+    const x2 = mod(x * x, P); // x²
     // If vx² = u, the recovered x-coordinate is x.  Otherwise, no
     // square root exists, and the decoding fails.
-    return { isValid: (0, modular_ts_1.mod)(x2 * v, P) === u, value: x };
+    return { isValid: mod(x2 * v, P) === u, value: x };
 }
@@ -108,7 +104,7 @@ // Finite field 2n**448n - 2n**224n - 1n
 // - ed448 fits in 448 bits. We can't use last 1 byte: we can only use a bit 224 in the middle.
-const Fp = /* @__PURE__ */ (() => (0, modular_ts_1.Field)(ed448_CURVE.p, { BITS: 456, isLE: true }))();
-const Fn = /* @__PURE__ */ (() => (0, modular_ts_1.Field)(ed448_CURVE.n, { BITS: 456, isLE: true }))();
+const Fp = /* @__PURE__ */ (() => Field(ed448_CURVE.p, { BITS: 456, isLE: true }))();
+const Fn = /* @__PURE__ */ (() => Field(ed448_CURVE.n, { BITS: 456, isLE: true }))();
 // decaf448 uses 448-bit (56-byte) keys
-const Fp448 = /* @__PURE__ */ (() => (0, modular_ts_1.Field)(ed448_CURVE.p, { BITS: 448, isLE: true }))();
-const Fn448 = /* @__PURE__ */ (() => (0, modular_ts_1.Field)(ed448_CURVE.n, { BITS: 448, isLE: true }))();
+const Fp448 = /* @__PURE__ */ (() => Field(ed448_CURVE.p, { BITS: 448, isLE: true }))();
+const Fn448 = /* @__PURE__ */ (() => Field(ed448_CURVE.n, { BITS: 448, isLE: true }))();
 // SHAKE256(dom4(phflag,context)||x, 114)
@@ -118,16 +114,6 @@ function dom4(data, ctx, phflag) {
         throw new Error('context must be smaller than 255, got: ' + ctx.length);
-    return (0, utils_js_1.concatBytes)((0, utils_ts_1.asciiToBytes)('SigEd448'), new Uint8Array([phflag ? 1 : 0, ctx.length]), ctx, data);
+    return concatBytes(asciiToBytes('SigEd448'), new Uint8Array([phflag ? 1 : 0, ctx.length]), ctx, data);
 }
-// const ed448_eddsa_opts = { adjustScalarBytes, domain: dom4 };
-// const ed448_Point = edwards(ed448_CURVE, { Fp, Fn, uvRatio });
-const ED448_DEF = /* @__PURE__ */ (() => ({
-    ...ed448_CURVE,
-    Fp,
-    Fn,
-    nBitLength: Fn.BITS,
-    hash: shake256_114,
-    adjustScalarBytes,
-    domain: dom4,
-    uvRatio,
-}))();
+const ed448_eddsa_opts = { adjustScalarBytes, domain: dom4 };
+const ed448_Point = edwards(ed448_CURVE, { Fp, Fn, uvRatio });
 /**
@@ -142,9 +128,9 @@ * ed448 EdDSA curve and methods.
  */
-exports.ed448 = (0, edwards_ts_1.twistedEdwards)(ED448_DEF);
+export const ed448 = eddsa(ed448_Point, shake256_114, ed448_eddsa_opts);
 // There is no ed448ctx, since ed448 supports ctx by default
 /** Prehashed version of ed448. Accepts already-hashed messages in sign() and verify(). */
-exports.ed448ph = (() => (0, edwards_ts_1.twistedEdwards)({
-    ...ED448_DEF,
+export const ed448ph = /* @__PURE__ */ eddsa(ed448_Point, shake256_114, {
+    ...ed448_eddsa_opts,
     prehash: shake256_64,
-}))();
+});
 /**
@@ -155,3 +141,3 @@ * E448 curve, defined by NIST.
  */
-exports.E448 = (0, edwards_ts_1.edwards)(E448_CURVE);
+export const E448 = edwards(E448_CURVE);
 /**
@@ -162,5 +148,5 @@ * ECDH using curve448 aka x448.
  */
-exports.x448 = (() => {
+export const x448 = /* @__PURE__ */ (() => {
     const P = ed448_CURVE.p;
-    return (0, montgomery_ts_1.montgomery)({
+    return montgomery({
         P,
@@ -170,4 +156,4 @@ type: 'x448',
             const Pminus3div4 = ed448_pow_Pminus3div4(x);
-            const Pminus3 = (0, modular_ts_1.pow2)(Pminus3div4, _2n, P);
-            return (0, modular_ts_1.mod)(Pminus3 * x, P); // Pminus3 * x = Pminus2
+            const Pminus3 = pow2(Pminus3div4, _2n, P);
+            return mod(Pminus3 * x, P); // Pminus3 * x = Pminus2
         },
@@ -247,7 +233,7 @@ adjustScalarBytes,
     yEd = Fp.cmov(yEd, Fp.ONE, e); // 37. yEd = CMOV(yEd, 1, e)
-    const inv = (0, modular_ts_1.FpInvertBatch)(Fp, [xEd, yEd], true); // batch division
+    const inv = FpInvertBatch(Fp, [xEd, yEd], true); // batch division
     return { x: Fp.mul(xEn, inv[0]), y: Fp.mul(yEn, inv[1]) }; // 38. return (xEn, xEd, yEn, yEd)
 }
 /** Hashing / encoding to ed448 points / field. RFC 9380 methods. */
-exports.ed448_hasher = (() => (0, hash_to_curve_ts_1.createHasher)(exports.ed448.Point, (scalars) => map_to_curve_elligator2_edwards448(scalars[0]), {
+export const ed448_hasher = /* @__PURE__ */ (() => createHasher(ed448_Point, (scalars) => map_to_curve_elligator2_edwards448(scalars[0]), {
     DST: 'edwards448_XOF:SHAKE256_ELL2_RO_',
@@ -259,3 +245,3 @@ encodeDST: 'edwards448_XOF:SHAKE256_ELL2_NU_',
     expand: 'xof',
-    hash: sha3_js_1.shake256,
+    hash: shake256,
 }))();
@@ -293,3 +279,3 @@ // 1-d
     let s_abs = s;
-    if ((0, modular_ts_1.isNegativeLE)(s, P))
+    if (isNegativeLE(s, P))
         s_abs = mod(-s);
@@ -301,6 +287,6 @@ const s2 = s * s;
     const W3 = mod(v_prime * s * (r - _1n) * ONE_MINUS_TWO_D + sgn); // 11
-    return new exports.ed448.Point(mod(W0 * W3), mod(W2 * W1), mod(W1 * W3), mod(W0 * W2));
+    return new ed448_Point(mod(W0 * W3), mod(W2 * W1), mod(W1 * W3), mod(W0 * W2));
 }
 function decaf448_map(bytes) {
-    (0, utils_js_1.abytes)(bytes, 112);
+    abytes(bytes, 112);
     const skipValidation = true;
@@ -323,3 +309,16 @@ // Note: Similar to the field element decoding described in
  */
-class _DecafPoint extends edwards_ts_1.PrimeEdwardsPoint {
+class _DecafPoint extends PrimeEdwardsPoint {
+    // The following gymnastics is done because typescript strips comments otherwise
+    // prettier-ignore
+    static BASE = 
+    /* @__PURE__ */ (() => new _DecafPoint(ed448_Point.BASE).multiplyUnsafe(_2n))();
+    // prettier-ignore
+    static ZERO = 
+    /* @__PURE__ */ (() => new _DecafPoint(ed448_Point.ZERO))();
+    // prettier-ignore
+    static Fp = 
+    /* @__PURE__ */ (() => Fp448)();
+    // prettier-ignore
+    static Fn = 
+    /* @__PURE__ */ (() => Fn448)();
     constructor(ep) {
@@ -329,3 +328,3 @@ super(ep);
     static fromAffine(ap) {
-        return new _DecafPoint(exports.ed448.Point.fromAffine(ap));
+        return new _DecafPoint(ed448_Point.fromAffine(ap));
     }
@@ -339,8 +338,4 @@ assertSame(other) {
     }
-    /** @deprecated use `import { decaf448_hasher } from '@noble/curves/ed448.js';` */
-    static hashToCurve(hex) {
-        return decaf448_map((0, utils_ts_1.ensureBytes)('decafHash', hex, 112));
-    }
     static fromBytes(bytes) {
-        (0, utils_js_1.abytes)(bytes, 56);
+        abytes(bytes, 56);
         const { d } = ed448_CURVE;
@@ -352,3 +347,3 @@ const P = Fp.ORDER;
         // 2. Check that s is non-negative, or else abort
-        if (!(0, utils_ts_1.equalBytes)(Fn448.toBytes(s), bytes) || (0, modular_ts_1.isNegativeLE)(s, P))
+        if (!equalBytes(Fn448.toBytes(s), bytes) || isNegativeLE(s, P))
             throw new Error('invalid decaf448 encoding 1');
@@ -361,3 +356,3 @@ const s2 = mod(s * s); // 1
         let u3 = mod((s + s) * invsqrt * u1 * SQRT_MINUS_D); // 5
-        if ((0, modular_ts_1.isNegativeLE)(u3, P))
+        if (isNegativeLE(u3, P))
             u3 = mod(-u3);
@@ -369,3 +364,3 @@ const x = mod(u3 * invsqrt * u2 * INVSQRT_MINUS_D); // 6
             throw new Error('invalid decaf448 encoding 2');
-        return new _DecafPoint(new exports.ed448.Point(x, y, _1n, t));
+        return new _DecafPoint(new ed448_Point(x, y, _1n, t));
     }
@@ -378,8 +373,4 @@ /**
     static fromHex(hex) {
-        return _DecafPoint.fromBytes((0, utils_ts_1.ensureBytes)('decafHex', hex, 56));
+        return _DecafPoint.fromBytes(hexToBytes(hex));
     }
-    /** @deprecated use `import { pippenger } from '@noble/curves/abstract/curve.js';` */
-    static msm(points, scalars) {
-        return (0, curve_ts_1.pippenger)(_DecafPoint, Fn, points, scalars);
-    }
     /**
@@ -397,7 +388,7 @@ * Encodes decaf point to Uint8Array.
         let ratio = mod(invsqrt * u1 * SQRT_MINUS_D); // 3
-        if ((0, modular_ts_1.isNegativeLE)(ratio, P))
+        if (isNegativeLE(ratio, P))
             ratio = mod(-ratio);
         const u2 = mod(INVSQRT_MINUS_D * ratio * Z - T); // 4
         let s = mod(ONE_MINUS_D * invsqrt * X * u2); // 5
-        if ((0, modular_ts_1.isNegativeLE)(s, P))
+        if (isNegativeLE(s, P))
             s = mod(-s);
@@ -421,21 +412,8 @@ return Fn448.toBytes(s);
 }
-// The following gymnastics is done because typescript strips comments otherwise
-// prettier-ignore
-_DecafPoint.BASE = 
-/* @__PURE__ */ (() => new _DecafPoint(exports.ed448.Point.BASE).multiplyUnsafe(_2n))();
-// prettier-ignore
-_DecafPoint.ZERO = 
-/* @__PURE__ */ (() => new _DecafPoint(exports.ed448.Point.ZERO))();
-// prettier-ignore
-_DecafPoint.Fp = 
-/* @__PURE__ */ (() => Fp448)();
-// prettier-ignore
-_DecafPoint.Fn = 
-/* @__PURE__ */ (() => Fn448)();
-exports.decaf448 = { Point: _DecafPoint };
+export const decaf448 = { Point: _DecafPoint };
 /** Hashing to decaf448 points / field. RFC 9380 methods. */
-exports.decaf448_hasher = {
+export const decaf448_hasher = {
     hashToCurve(msg, options) {
         const DST = options?.DST || 'decaf448_XOF:SHAKE256_D448MAP_RO_';
-        return decaf448_map((0, hash_to_curve_ts_1.expand_message_xof)(msg, DST, 112, 224, sha3_js_1.shake256));
+        return decaf448_map(expand_message_xof(msg, DST, 112, 224, shake256));
     },
@@ -445,15 +423,15 @@ // Warning: has big modulo bias of 2^-64.
     // it must use 84-byte xof (56+56/2), not 64.
-    hashToScalar(msg, options = { DST: hash_to_curve_ts_1._DST_scalar }) {
+    hashToScalar(msg, options = { DST: _DST_scalar }) {
         // Can't use `Fn448.fromBytes()`. 64-byte input => 56-byte field element
-        const xof = (0, hash_to_curve_ts_1.expand_message_xof)(msg, options.DST, 64, 256, sha3_js_1.shake256);
-        return Fn448.create((0, utils_ts_1.bytesToNumberLE)(xof));
+        const xof = expand_message_xof(msg, options.DST, 64, 256, shake256);
+        return Fn448.create(bytesToNumberLE(xof));
     },
 };
-// export const decaf448_oprf: OPRF = createORPF({
-//   name: 'decaf448-SHAKE256',
-//   Point: DecafPoint,
-//   hash: (msg: Uint8Array) => shake256(msg, { dkLen: 64 }),
-//   hashToGroup: decaf448_hasher.hashToCurve,
-//   hashToScalar: decaf448_hasher.hashToScalar,
-// });
+export const decaf448_oprf = /* @__PURE__ */ (() => createORPF({
+    name: 'decaf448-SHAKE256',
+    Point: _DecafPoint,
+    hash: (msg) => shake256(msg, { dkLen: 64 }),
+    hashToGroup: decaf448_hasher.hashToCurve,
+    hashToScalar: decaf448_hasher.hashToScalar,
+}))();
 /**
@@ -465,3 +443,3 @@ * Weird / bogus points, useful for debugging.
  */
-exports.ED448_TORSION_SUBGROUP = [
+export const ED448_TORSION_SUBGROUP = [
     '010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000',
@@ -472,18 +450,2 @@ 'fefffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff00',
 ];
-/** @deprecated use `decaf448.Point` */
-exports.DecafPoint = _DecafPoint;
-/** @deprecated use `import { ed448_hasher } from '@noble/curves/ed448.js';` */
-exports.hashToCurve = (() => exports.ed448_hasher.hashToCurve)();
-/** @deprecated use `import { ed448_hasher } from '@noble/curves/ed448.js';` */
-exports.encodeToCurve = (() => exports.ed448_hasher.encodeToCurve)();
-/** @deprecated use `import { decaf448_hasher } from '@noble/curves/ed448.js';` */
-exports.hashToDecaf448 = (() => exports.decaf448_hasher.hashToCurve)();
-/** @deprecated use `import { decaf448_hasher } from '@noble/curves/ed448.js';` */
-exports.hash_to_decaf448 = (() => exports.decaf448_hasher.hashToCurve)();
-/** @deprecated use `ed448.utils.toMontgomery` */
-function edwardsToMontgomeryPub(edwardsPub) {
-    return exports.ed448.utils.toMontgomery((0, utils_ts_1.ensureBytes)('pub', edwardsPub));
-}
-/** @deprecated use `ed448.utils.toMontgomery` */
-exports.edwardsToMontgomery = edwardsToMontgomeryPub;
 //# sourceMappingURL=ed448.js.map

ed448.js.map

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index.js

@@ -13,3 +13,3 @@ "use strict";
 import { bn254 } from '@noble/curves/bn254.js';
-import { bytesToHex, hexToBytes, concatBytes, utf8ToBytes } from '@noble/curves/abstract/utils.js';
+import { bytesToHex, hexToBytes, concatBytes, utf8ToBytes } from '@noble/curves/utils.js';
 ```
@@ -16,0 +16,0 @@ */

misc.d.ts

@@ -1,19 +0,15 @@
-import { type CurveFn, type EdwardsPoint } from './abstract/edwards.ts';
-import { type CurveFn as WCurveFn } from './abstract/weierstrass.ts';
+import { type EdDSA, type EdwardsPoint } from './abstract/edwards.ts';
+import { type ECDSA } from './abstract/weierstrass.ts';
 /** Curve over scalar field of bls12-381. jubjub Fp = bls n */
-export declare const jubjub: CurveFn;
+export declare const jubjub: EdDSA;
 /** Curve over scalar field of bn254. babyjubjub Fp = bn254 n */
-export declare const babyjubjub: CurveFn;
+export declare const babyjubjub: EdDSA;
 export declare function jubjub_groupHash(tag: Uint8Array, personalization: Uint8Array): EdwardsPoint;
 export declare function jubjub_findGroupHash(m: Uint8Array, personalization: Uint8Array): EdwardsPoint;
-export declare const pasta_p: bigint;
-export declare const pasta_q: bigint;
-/**
- * @deprecated
- */
-export declare const pallas: WCurveFn;
-/**
- * @deprecated
- */
-export declare const vesta: WCurveFn;
+/** Brainpool P256r1 with sha256, from RFC 5639. */
+export declare const brainpoolP256r1: ECDSA;
+/** Brainpool P384r1 with sha384, from RFC 5639. */
+export declare const brainpoolP384r1: ECDSA;
+/** Brainpool P521r1 with sha512, from RFC 5639. */
+export declare const brainpoolP512r1: ECDSA;
 //# sourceMappingURL=misc.d.ts.map

misc.d.ts.map

@@ -1,1 +0,1 @@
-{"version":3,"file":"misc.d.ts","sourceRoot":"","sources":["src/misc.ts"],"names":[],"mappings":"AAUA,OAAO,EAEL,KAAK,OAAO,EAEZ,KAAK,YAAY,EAClB,MAAM,uBAAuB,CAAC;AAE/B,OAAO,EAAe,KAAK,OAAO,IAAI,QAAQ,EAAE,MAAM,2BAA2B,CAAC;AAgBlF,8DAA8D;AAC9D,eAAO,MAAM,MAAM,EAAE,OAInB,CAAC;AAWH,gEAAgE;AAChE,eAAO,MAAM,UAAU,EAAE,OAIvB,CAAC;AAOH,wBAAgB,gBAAgB,CAAC,GAAG,EAAE,UAAU,EAAE,eAAe,EAAE,UAAU,GAAG,YAAY,CAU3F;AAKD,wBAAgB,oBAAoB,CAAC,CAAC,EAAE,UAAU,EAAE,eAAe,EAAE,UAAU,GAAG,YAAY,CAW7F;AAID,eAAO,MAAM,OAAO,EAAE,MAErB,CAAC;AACF,eAAO,MAAM,OAAO,EAAE,MAErB,CAAC;AAEF;;GAEG;AACH,eAAO,MAAM,MAAM,EAAE,QASnB,CAAC;AACH;;GAEG;AACH,eAAO,MAAM,KAAK,EAAE,QASlB,CAAC"}
+{"version":3,"file":"misc.d.ts","sourceRoot":"","sources":["src/misc.ts"],"names":[],"mappings":"AAUA,OAAO,EAGL,KAAK,KAAK,EAEV,KAAK,YAAY,EAClB,MAAM,uBAAuB,CAAC;AAC/B,OAAO,EAAsB,KAAK,KAAK,EAAwB,MAAM,2BAA2B,CAAC;AAiBjG,8DAA8D;AAC9D,eAAO,MAAM,MAAM,EAAE,KAA4D,CAAC;AAWlF,gEAAgE;AAChE,eAAO,MAAM,UAAU,EAAE,KAAkE,CAAC;AAO5F,wBAAgB,gBAAgB,CAAC,GAAG,EAAE,UAAU,EAAE,eAAe,EAAE,UAAU,GAAG,YAAY,CAU3F;AAKD,wBAAgB,oBAAoB,CAAC,CAAC,EAAE,UAAU,EAAE,eAAe,EAAE,UAAU,GAAG,YAAY,CAW7F;AAWD,mDAAmD;AACnD,eAAO,MAAM,eAAe,EAAE,KAAyD,CAAC;AAuBxF,mDAAmD;AACnD,eAAO,MAAM,eAAe,EAAE,KAAyD,CAAC;AAuBxF,mDAAmD;AACnD,eAAO,MAAM,eAAe,EAAE,KAAyD,CAAC"}

misc.js

@@ -1,6 +0,1 @@
-"use strict";
-Object.defineProperty(exports, "__esModule", { value: true });
-exports.vesta = exports.pallas = exports.pasta_q = exports.pasta_p = exports.babyjubjub = exports.jubjub = void 0;
-exports.jubjub_groupHash = jubjub_groupHash;
-exports.jubjub_findGroupHash = jubjub_findGroupHash;
 /**
@@ -12,11 +7,11 @@ * Miscellaneous, rarely used curves.
 /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-const blake1_js_1 = require("@noble/hashes/blake1.js");
-const blake2_js_1 = require("@noble/hashes/blake2.js");
-const sha2_js_1 = require("@noble/hashes/sha2.js");
-const utils_js_1 = require("@noble/hashes/utils.js");
-const edwards_ts_1 = require("./abstract/edwards.js");
-const modular_ts_1 = require("./abstract/modular.js");
-const weierstrass_ts_1 = require("./abstract/weierstrass.js");
-const bls12_381_ts_1 = require("./bls12-381.js");
-const bn254_ts_1 = require("./bn254.js");
+import { blake256 } from '@noble/hashes/blake1.js';
+import { blake2s } from '@noble/hashes/blake2.js';
+import { sha256, sha384, sha512 } from '@noble/hashes/sha2.js';
+import { concatBytes } from '@noble/hashes/utils.js';
+import { eddsa, edwards, } from "./abstract/edwards.js";
+import { ecdsa, weierstrass } from "./abstract/weierstrass.js";
+import { bls12_381_Fr } from "./bls12-381.js";
+import { bn254_Fr } from "./bn254.js";
+import { asciiToBytes } from "./utils.js";
 // Jubjub curves have 𝔽p over scalar fields of other curves. They are friendly to ZK proofs.
@@ -26,3 +21,3 @@ // jubjub Fp = bls n. babyjubjub Fp = bn254 n.
 const jubjub_CURVE = {
-    p: bls12_381_ts_1.bls12_381_Fr.ORDER,
+    p: bls12_381_Fr.ORDER,
     n: BigInt('0xe7db4ea6533afa906673b0101343b00a6682093ccc81082d0970e5ed6f72cb7'),
@@ -36,9 +31,5 @@ h: BigInt(8),
 /** Curve over scalar field of bls12-381. jubjub Fp = bls n */
-exports.jubjub = (0, edwards_ts_1.twistedEdwards)({
-    ...jubjub_CURVE,
-    Fp: bls12_381_ts_1.bls12_381_Fr,
-    hash: sha2_js_1.sha512,
-});
+export const jubjub = /* @__PURE__ */ eddsa(edwards(jubjub_CURVE), sha512);
 const babyjubjub_CURVE = {
-    p: bn254_ts_1.bn254_Fr.ORDER,
+    p: bn254_Fr.ORDER,
     n: BigInt('0x30644e72e131a029b85045b68181585d59f76dc1c90770533b94bee1c9093788'),
@@ -52,18 +43,14 @@ h: BigInt(8),
 /** Curve over scalar field of bn254. babyjubjub Fp = bn254 n */
-exports.babyjubjub = (0, edwards_ts_1.twistedEdwards)({
-    ...babyjubjub_CURVE,
-    Fp: bn254_ts_1.bn254_Fr,
-    hash: blake1_js_1.blake256,
-});
-const jubjub_gh_first_block = (0, utils_js_1.utf8ToBytes)('096b36a5804bfacef1691e173c366a47ff5ba84a44f26ddd7e8d9f79d5b42df0');
+export const babyjubjub = /* @__PURE__ */ eddsa(edwards(babyjubjub_CURVE), blake256);
+const jubjub_gh_first_block = asciiToBytes('096b36a5804bfacef1691e173c366a47ff5ba84a44f26ddd7e8d9f79d5b42df0');
 // Returns point at JubJub curve which is prime order and not zero
-function jubjub_groupHash(tag, personalization) {
-    const h = blake2_js_1.blake2s.create({ personalization, dkLen: 32 });
+export function jubjub_groupHash(tag, personalization) {
+    const h = blake2s.create({ personalization, dkLen: 32 });
     h.update(jubjub_gh_first_block);
     h.update(tag);
     // NOTE: returns ExtendedPoint, in case it will be multiplied later
-    let p = exports.jubjub.Point.fromBytes(h.digest());
+    let p = jubjub.Point.fromBytes(h.digest());
     // NOTE: cannot replace with isSmallOrder, returns Point*8
     p = p.multiply(jubjub_CURVE.h);
-    if (p.equals(exports.jubjub.Point.ZERO))
+    if (p.equals(jubjub.Point.ZERO))
         throw new Error('Point has small order');
@@ -75,4 +62,4 @@ return p;
 // const G_SPEND = jubjub.findGroupHash(Uint8Array.of(), utf8ToBytes('Item_G_'));
-function jubjub_findGroupHash(m, personalization) {
-    const tag = (0, utils_js_1.concatBytes)(m, Uint8Array.of(0));
+export function jubjub_findGroupHash(m, personalization) {
+    const tag = concatBytes(m, Uint8Array.of(0));
     const hashes = [];
@@ -90,31 +77,35 @@ for (let i = 0; i < 256; i++) {
 }
-// Pasta curves. See [Spec](https://o1-labs.github.io/proof-systems/specs/pasta.html).
-exports.pasta_p = BigInt('0x40000000000000000000000000000000224698fc094cf91b992d30ed00000001');
-exports.pasta_q = BigInt('0x40000000000000000000000000000000224698fc0994a8dd8c46eb2100000001');
-/**
- * @deprecated
- */
-exports.pallas = (0, weierstrass_ts_1.weierstrass)({
-    a: BigInt(0),
-    b: BigInt(5),
-    Fp: (0, modular_ts_1.Field)(exports.pasta_p),
-    n: exports.pasta_q,
-    Gx: (0, modular_ts_1.mod)(BigInt(-1), exports.pasta_p),
-    Gy: BigInt(2),
+const brainpoolP256r1_CURVE = {
+    p: BigInt('0xa9fb57dba1eea9bc3e660a909d838d726e3bf623d52620282013481d1f6e5377'),
+    a: BigInt('0x7d5a0975fc2c3057eef67530417affe7fb8055c126dc5c6ce94a4b44f330b5d9'),
+    b: BigInt('0x26dc5c6ce94a4b44f330b5d9bbd77cbf958416295cf7e1ce6bccdc18ff8c07b6'),
+    n: BigInt('0xa9fb57dba1eea9bc3e660a909d838d718c397aa3b561a6f7901e0e82974856a7'),
+    Gx: BigInt('0x8bd2aeb9cb7e57cb2c4b482ffc81b7afb9de27e1e3bd23c23a4453bd9ace3262'),
+    Gy: BigInt('0x547ef835c3dac4fd97f8461a14611dc9c27745132ded8e545c1d54c72f046997'),
     h: BigInt(1),
-    hash: sha2_js_1.sha256,
-});
-/**
- * @deprecated
- */
-exports.vesta = (0, weierstrass_ts_1.weierstrass)({
-    a: BigInt(0),
-    b: BigInt(5),
-    Fp: (0, modular_ts_1.Field)(exports.pasta_q),
-    n: exports.pasta_p,
-    Gx: (0, modular_ts_1.mod)(BigInt(-1), exports.pasta_q),
-    Gy: BigInt(2),
+};
+/** Brainpool P256r1 with sha256, from RFC 5639. */
+export const brainpoolP256r1 = ecdsa(weierstrass(brainpoolP256r1_CURVE), sha256);
+const brainpoolP384r1_CURVE = {
+    p: BigInt('0x8cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b412b1da197fb71123acd3a729901d1a71874700133107ec53'),
+    a: BigInt('0x7bc382c63d8c150c3c72080ace05afa0c2bea28e4fb22787139165efba91f90f8aa5814a503ad4eb04a8c7dd22ce2826'),
+    b: BigInt('0x04a8c7dd22ce28268b39b55416f0447c2fb77de107dcd2a62e880ea53eeb62d57cb4390295dbc9943ab78696fa504c11'),
+    n: BigInt('0x8cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b31f166e6cac0425a7cf3ab6af6b7fc3103b883202e9046565'),
+    Gx: BigInt('0x1d1c64f068cf45ffa2a63a81b7c13f6b8847a3e77ef14fe3db7fcafe0cbd10e8e826e03436d646aaef87b2e247d4af1e'),
+    Gy: BigInt('0x8abe1d7520f9c2a45cb1eb8e95cfd55262b70b29feec5864e19c054ff99129280e4646217791811142820341263c5315'),
     h: BigInt(1),
-    hash: sha2_js_1.sha256,
-});
+};
+/** Brainpool P384r1 with sha384, from RFC 5639. */
+export const brainpoolP384r1 = ecdsa(weierstrass(brainpoolP384r1_CURVE), sha384);
+const brainpoolP512r1_CURVE = {
+    p: BigInt('0xaadd9db8dbe9c48b3fd4e6ae33c9fc07cb308db3b3c9d20ed6639cca703308717d4d9b009bc66842aecda12ae6a380e62881ff2f2d82c68528aa6056583a48f3'),
+    a: BigInt('0x7830a3318b603b89e2327145ac234cc594cbdd8d3df91610a83441caea9863bc2ded5d5aa8253aa10a2ef1c98b9ac8b57f1117a72bf2c7b9e7c1ac4d77fc94ca'),
+    b: BigInt('0x3df91610a83441caea9863bc2ded5d5aa8253aa10a2ef1c98b9ac8b57f1117a72bf2c7b9e7c1ac4d77fc94cadc083e67984050b75ebae5dd2809bd638016f723'),
+    n: BigInt('0xaadd9db8dbe9c48b3fd4e6ae33c9fc07cb308db3b3c9d20ed6639cca70330870553e5c414ca92619418661197fac10471db1d381085ddaddb58796829ca90069'),
+    Gx: BigInt('0x81aee4bdd82ed9645a21322e9c4c6a9385ed9f70b5d916c1b43b62eef4d0098eff3b1f78e2d0d48d50d1687b93b97d5f7c6d5047406a5e688b352209bcb9f822'),
+    Gy: BigInt('0x7dde385d566332ecc0eabfa9cf7822fdf209f70024a57b1aa000c55b881f8111b2dcde494a5f485e5bca4bd88a2763aed1ca2b2fa8f0540678cd1e0f3ad80892'),
+    h: BigInt(1),
+};
+/** Brainpool P521r1 with sha512, from RFC 5639. */
+export const brainpoolP512r1 = ecdsa(weierstrass(brainpoolP512r1_CURVE), sha512);
 //# sourceMappingURL=misc.js.map

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nist.d.ts

@@ -1,21 +0,18 @@
-import { type CurveFnWithCreate } from './_shortw_utils.ts';
 import { type H2CHasher } from './abstract/hash-to-curve.ts';
-/** NIST P256 (aka secp256r1, prime256v1) curve, ECDSA and ECDH methods. */
-export declare const p256: CurveFnWithCreate;
+import { type OPRF } from './abstract/oprf.ts';
+import { type ECDSA, type WeierstrassPointCons } from './abstract/weierstrass.ts';
+export declare const p256: ECDSA;
 /** Hashing / encoding to p256 points / field. RFC 9380 methods. */
-export declare const p256_hasher: H2CHasher<bigint>;
+export declare const p256_hasher: H2CHasher<WeierstrassPointCons<bigint>>;
+export declare const p256_oprf: OPRF;
 /** NIST P384 (aka secp384r1) curve, ECDSA and ECDH methods. */
-export declare const p384: CurveFnWithCreate;
+export declare const p384: ECDSA;
 /** Hashing / encoding to p384 points / field. RFC 9380 methods. */
-export declare const p384_hasher: H2CHasher<bigint>;
+export declare const p384_hasher: H2CHasher<WeierstrassPointCons<bigint>>;
+export declare const p384_oprf: OPRF;
 /** NIST P521 (aka secp521r1) curve, ECDSA and ECDH methods. */
-export declare const p521: CurveFnWithCreate;
-/** @deprecated use `p256` for consistency with `p256_hasher` */
-export declare const secp256r1: typeof p256;
-/** @deprecated use `p384` for consistency with `p384_hasher` */
-export declare const secp384r1: typeof p384;
-/** @deprecated use `p521` for consistency with `p521_hasher` */
-export declare const secp521r1: typeof p521;
+export declare const p521: ECDSA;
 /** Hashing / encoding to p521 points / field. RFC 9380 methods. */
-export declare const p521_hasher: H2CHasher<bigint>;
+export declare const p521_hasher: H2CHasher<WeierstrassPointCons<bigint>>;
+export declare const p521_oprf: OPRF;
 //# sourceMappingURL=nist.d.ts.map

nist.d.ts.map

@@ -1,1 +0,1 @@
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+{"version":3,"file":"nist.d.ts","sourceRoot":"","sources":["src/nist.ts"],"names":[],"mappings":"AAOA,OAAO,EAAgB,KAAK,SAAS,EAAE,MAAM,6BAA6B,CAAC;AAE3E,OAAO,EAAc,KAAK,IAAI,EAAE,MAAM,oBAAoB,CAAC;AAC3D,OAAO,EAIL,KAAK,KAAK,EAEV,KAAK,oBAAoB,EAC1B,MAAM,2BAA2B,CAAC;AAyEnC,eAAO,MAAM,IAAI,EAAE,KAAiD,CAAC;AACrE,mEAAmE;AACnE,eAAO,MAAM,WAAW,EAAE,SAAS,CAAC,oBAAoB,CAAC,MAAM,CAAC,CAkB5D,CAAC;AAEL,eAAO,MAAM,SAAS,EAAE,IAOjB,CAAC;AAGR,+DAA+D;AAC/D,eAAO,MAAM,IAAI,EAAE,KAAiD,CAAC;AACrE,mEAAmE;AACnE,eAAO,MAAM,WAAW,EAAE,SAAS,CAAC,oBAAoB,CAAC,MAAM,CAAC,CAkB5D,CAAC;AAEL,eAAO,MAAM,SAAS,EAAE,IAOjB,CAAC;AAIR,+DAA+D;AAC/D,eAAO,MAAM,IAAI,EAAE,KAAiD,CAAC;AAErE,mEAAmE;AACnE,eAAO,MAAM,WAAW,EAAE,SAAS,CAAC,oBAAoB,CAAC,MAAM,CAAC,CAkB5D,CAAC;AAEL,eAAO,MAAM,SAAS,EAAE,IAOjB,CAAC"}

nist.js

@@ -1,4 +0,1 @@
-"use strict";
-Object.defineProperty(exports, "__esModule", { value: true });
-exports.p521_hasher = exports.secp521r1 = exports.secp384r1 = exports.secp256r1 = exports.p521 = exports.p384_hasher = exports.p384 = exports.p256_hasher = exports.p256 = void 0;
 /**
@@ -10,7 +7,7 @@ * Internal module for NIST P256, P384, P521 curves.
 /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-const sha2_js_1 = require("@noble/hashes/sha2.js");
-const _shortw_utils_ts_1 = require("./_shortw_utils.js");
-const hash_to_curve_ts_1 = require("./abstract/hash-to-curve.js");
-const modular_ts_1 = require("./abstract/modular.js");
-const weierstrass_ts_1 = require("./abstract/weierstrass.js");
+import { sha256, sha384, sha512 } from '@noble/hashes/sha2.js';
+import { createHasher } from "./abstract/hash-to-curve.js";
+import { Field } from "./abstract/modular.js";
+import { createORPF } from "./abstract/oprf.js";
+import { ecdsa, mapToCurveSimpleSWU, weierstrass, } from "./abstract/weierstrass.js";
 // p = 2n**224n * (2n**32n-1n) + 2n**192n + 2n**96n - 1n
@@ -47,17 +44,15 @@ // a = Fp256.create(BigInt('-3'));
 };
-const Fp256 = (0, modular_ts_1.Field)(p256_CURVE.p);
-const Fp384 = (0, modular_ts_1.Field)(p384_CURVE.p);
-const Fp521 = (0, modular_ts_1.Field)(p521_CURVE.p);
 function createSWU(Point, opts) {
-    const map = (0, weierstrass_ts_1.mapToCurveSimpleSWU)(Point.Fp, opts);
+    const map = mapToCurveSimpleSWU(Point.Fp, opts);
     return (scalars) => map(scalars[0]);
 }
 /** NIST P256 (aka secp256r1, prime256v1) curve, ECDSA and ECDH methods. */
-exports.p256 = (0, _shortw_utils_ts_1.createCurve)({ ...p256_CURVE, Fp: Fp256, lowS: false }, sha2_js_1.sha256);
+const p256_Point = /* @__PURE__ */ weierstrass(p256_CURVE);
+export const p256 = /* @__PURE__ */ ecdsa(p256_Point, sha256);
 /** Hashing / encoding to p256 points / field. RFC 9380 methods. */
-exports.p256_hasher = (() => {
-    return (0, hash_to_curve_ts_1.createHasher)(exports.p256.Point, createSWU(exports.p256.Point, {
+export const p256_hasher = /* @__PURE__ */ (() => {
+    return createHasher(p256_Point, createSWU(p256_Point, {
         A: p256_CURVE.a,
         B: p256_CURVE.b,
-        Z: exports.p256.Point.Fp.create(BigInt('-10')),
+        Z: p256_Point.Fp.create(BigInt('-10')),
     }), {
@@ -70,20 +65,21 @@ DST: 'P256_XMD:SHA-256_SSWU_RO_',
         expand: 'xmd',
-        hash: sha2_js_1.sha256,
+        hash: sha256,
     });
 })();
-// export const p256_oprf: OPRF = createORPF({
-//   name: 'P256-SHA256',
-//   Point: p256.Point,
-//   hash: sha256,
-//   hashToGroup: p256_hasher.hashToCurve,
-//   hashToScalar: p256_hasher.hashToScalar,
-// });
+export const p256_oprf = /* @__PURE__ */ (() => createORPF({
+    name: 'P256-SHA256',
+    Point: p256_Point,
+    hash: sha256,
+    hashToGroup: p256_hasher.hashToCurve,
+    hashToScalar: p256_hasher.hashToScalar,
+}))();
+const p384_Point = /* @__PURE__ */ weierstrass(p384_CURVE);
 /** NIST P384 (aka secp384r1) curve, ECDSA and ECDH methods. */
-exports.p384 = (0, _shortw_utils_ts_1.createCurve)({ ...p384_CURVE, Fp: Fp384, lowS: false }, sha2_js_1.sha384);
+export const p384 = /* @__PURE__ */ ecdsa(p384_Point, sha384);
 /** Hashing / encoding to p384 points / field. RFC 9380 methods. */
-exports.p384_hasher = (() => {
-    return (0, hash_to_curve_ts_1.createHasher)(exports.p384.Point, createSWU(exports.p384.Point, {
+export const p384_hasher = /* @__PURE__ */ (() => {
+    return createHasher(p384_Point, createSWU(p384_Point, {
         A: p384_CURVE.a,
         B: p384_CURVE.b,
-        Z: exports.p384.Point.Fp.create(BigInt('-12')),
+        Z: p384_Point.Fp.create(BigInt('-12')),
     }), {
@@ -96,27 +92,22 @@ DST: 'P384_XMD:SHA-384_SSWU_RO_',
         expand: 'xmd',
-        hash: sha2_js_1.sha384,
+        hash: sha384,
     });
 })();
-// export const p384_oprf: OPRF = createORPF({
-//   name: 'P384-SHA384',
-//   Point: p384.Point,
-//   hash: sha384,
-//   hashToGroup: p384_hasher.hashToCurve,
-//   hashToScalar: p384_hasher.hashToScalar,
-// });
-// const Fn521 = Field(p521_CURVE.n, { allowedScalarLengths: [65, 66] });
+export const p384_oprf = /* @__PURE__ */ (() => createORPF({
+    name: 'P384-SHA384',
+    Point: p384_Point,
+    hash: sha384,
+    hashToGroup: p384_hasher.hashToCurve,
+    hashToScalar: p384_hasher.hashToScalar,
+}))();
+const Fn521 = /* @__PURE__ */ Field(p521_CURVE.n, { allowedLengths: [65, 66] });
+const p521_Point = /* @__PURE__ */ weierstrass(p521_CURVE, { Fn: Fn521 });
 /** NIST P521 (aka secp521r1) curve, ECDSA and ECDH methods. */
-exports.p521 = (0, _shortw_utils_ts_1.createCurve)({ ...p521_CURVE, Fp: Fp521, lowS: false, allowedPrivateKeyLengths: [130, 131, 132] }, sha2_js_1.sha512);
-/** @deprecated use `p256` for consistency with `p256_hasher` */
-exports.secp256r1 = exports.p256;
-/** @deprecated use `p384` for consistency with `p384_hasher` */
-exports.secp384r1 = exports.p384;
-/** @deprecated use `p521` for consistency with `p521_hasher` */
-exports.secp521r1 = exports.p521;
+export const p521 = /* @__PURE__ */ ecdsa(p521_Point, sha512);
 /** Hashing / encoding to p521 points / field. RFC 9380 methods. */
-exports.p521_hasher = (() => {
-    return (0, hash_to_curve_ts_1.createHasher)(exports.p521.Point, createSWU(exports.p521.Point, {
+export const p521_hasher = /* @__PURE__ */ (() => {
+    return createHasher(p521_Point, createSWU(p521_Point, {
         A: p521_CURVE.a,
         B: p521_CURVE.b,
-        Z: exports.p521.Point.Fp.create(BigInt('-4')),
+        Z: p521_Point.Fp.create(BigInt('-4')),
     }), {
@@ -129,12 +120,12 @@ DST: 'P521_XMD:SHA-512_SSWU_RO_',
         expand: 'xmd',
-        hash: sha2_js_1.sha512,
+        hash: sha512,
     });
 })();
-// export const p521_oprf: OPRF = createORPF({
-//   name: 'P521-SHA512',
-//   Point: p521.Point,
-//   hash: sha512,
-//   hashToGroup: p521_hasher.hashToCurve,
-//   hashToScalar: p521_hasher.hashToScalar, // produces L=98 just like in RFC
-// });
+export const p521_oprf = /* @__PURE__ */ (() => createORPF({
+    name: 'P521-SHA512',
+    Point: p521_Point,
+    hash: sha512,
+    hashToGroup: p521_hasher.hashToCurve,
+    hashToScalar: p521_hasher.hashToScalar, // produces L=98 just like in RFC
+}))();
 //# sourceMappingURL=nist.js.map

nist.js.map

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package.json

 {
   "name": "@noble/curves",
-  "version": "1.9.6",
+  "version": "2.0.0-beta.1",
   "description": "Audited & minimal JS implementation of elliptic curve cryptography",
@@ -10,7 +10,4 @@ "files": [
     "*.d.ts.map",
-    "esm",
-    "src",
     "abstract",
-    "!oprf.*",
-    "!webcrypto.*"
+    "src"
   ],
@@ -20,4 +17,4 @@ "scripts": {
     "bench:install": "cd test/benchmark; npm install; npm install ../.. --install-links",
-    "build": "tsc && tsc -p tsconfig.cjs.json",
-    "build:release": "npx jsbt esbuild test/build",
+    "build": "tsc",
+    "build:release": "npx --no @paulmillr/jsbt esbuild test/build",
     "build:clean": "rm {.,esm,abstract,esm/abstract}/*.{js,d.ts,d.ts.map,js.map} 2> /dev/null",
@@ -39,3 +36,3 @@ "lint": "prettier --check 'src/**/*.{js,ts}' 'test/*.js'",
   "dependencies": {
-    "@noble/hashes": "1.8.0"
+    "@noble/hashes": "2.0.0-beta.3"
   },
@@ -52,219 +49,7 @@ "devDependencies": {
   "sideEffects": false,
+  "type": "module",
   "main": "index.js",
-  "exports": {
-    ".": {
-      "import": "./esm/index.js",
-      "require": "./index.js"
-    },
-    "./abstract/bls": {
-      "import": "./esm/abstract/bls.js",
-      "require": "./abstract/bls.js"
-    },
-    "./abstract/curve": {
-      "import": "./esm/abstract/curve.js",
-      "require": "./abstract/curve.js"
-    },
-    "./abstract/edwards": {
-      "import": "./esm/abstract/edwards.js",
-      "require": "./abstract/edwards.js"
-    },
-    "./abstract/hash-to-curve": {
-      "import": "./esm/abstract/hash-to-curve.js",
-      "require": "./abstract/hash-to-curve.js"
-    },
-    "./abstract/modular": {
-      "import": "./esm/abstract/modular.js",
-      "require": "./abstract/modular.js"
-    },
-    "./abstract/montgomery": {
-      "import": "./esm/abstract/montgomery.js",
-      "require": "./abstract/montgomery.js"
-    },
-    "./abstract/poseidon": {
-      "import": "./esm/abstract/poseidon.js",
-      "require": "./abstract/poseidon.js"
-    },
-    "./abstract/tower": {
-      "import": "./esm/abstract/tower.js",
-      "require": "./abstract/tower.js"
-    },
-    "./abstract/utils": {
-      "import": "./esm/abstract/utils.js",
-      "require": "./abstract/utils.js"
-    },
-    "./abstract/weierstrass": {
-      "import": "./esm/abstract/weierstrass.js",
-      "require": "./abstract/weierstrass.js"
-    },
-    "./abstract/fft": {
-      "import": "./esm/abstract/fft.js",
-      "require": "./abstract/fft.js"
-    },
-    "./_shortw_utils": {
-      "import": "./esm/_shortw_utils.js",
-      "require": "./_shortw_utils.js"
-    },
-    "./bls12-381": {
-      "import": "./esm/bls12-381.js",
-      "require": "./bls12-381.js"
-    },
-    "./bn254": {
-      "import": "./esm/bn254.js",
-      "require": "./bn254.js"
-    },
-    "./ed448": {
-      "import": "./esm/ed448.js",
-      "require": "./ed448.js"
-    },
-    "./ed25519": {
-      "import": "./esm/ed25519.js",
-      "require": "./ed25519.js"
-    },
-    "./index": {
-      "import": "./esm/index.js",
-      "require": "./index.js"
-    },
-    "./jubjub": {
-      "import": "./esm/jubjub.js",
-      "require": "./jubjub.js"
-    },
-    "./misc": {
-      "import": "./esm/misc.js",
-      "require": "./misc.js"
-    },
-    "./nist": {
-      "import": "./esm/nist.js",
-      "require": "./nist.js"
-    },
-    "./p256": {
-      "import": "./esm/p256.js",
-      "require": "./p256.js"
-    },
-    "./p384": {
-      "import": "./esm/p384.js",
-      "require": "./p384.js"
-    },
-    "./p521": {
-      "import": "./esm/p521.js",
-      "require": "./p521.js"
-    },
-    "./pasta": {
-      "import": "./esm/pasta.js",
-      "require": "./pasta.js"
-    },
-    "./secp256k1": {
-      "import": "./esm/secp256k1.js",
-      "require": "./secp256k1.js"
-    },
-    "./utils": {
-      "import": "./esm/utils.js",
-      "require": "./utils.js"
-    },
-    "./abstract/bls.js": {
-      "import": "./esm/abstract/bls.js",
-      "require": "./abstract/bls.js"
-    },
-    "./abstract/curve.js": {
-      "import": "./esm/abstract/curve.js",
-      "require": "./abstract/curve.js"
-    },
-    "./abstract/edwards.js": {
-      "import": "./esm/abstract/edwards.js",
-      "require": "./abstract/edwards.js"
-    },
-    "./abstract/hash-to-curve.js": {
-      "import": "./esm/abstract/hash-to-curve.js",
-      "require": "./abstract/hash-to-curve.js"
-    },
-    "./abstract/modular.js": {
-      "import": "./esm/abstract/modular.js",
-      "require": "./abstract/modular.js"
-    },
-    "./abstract/montgomery.js": {
-      "import": "./esm/abstract/montgomery.js",
-      "require": "./abstract/montgomery.js"
-    },
-    "./abstract/poseidon.js": {
-      "import": "./esm/abstract/poseidon.js",
-      "require": "./abstract/poseidon.js"
-    },
-    "./abstract/tower.js": {
-      "import": "./esm/abstract/tower.js",
-      "require": "./abstract/tower.js"
-    },
-    "./abstract/utils.js": {
-      "import": "./esm/abstract/utils.js",
-      "require": "./abstract/utils.js"
-    },
-    "./abstract/weierstrass.js": {
-      "import": "./esm/abstract/weierstrass.js",
-      "require": "./abstract/weierstrass.js"
-    },
-    "./abstract/fft.js": {
-      "import": "./esm/abstract/fft.js",
-      "require": "./abstract/fft.js"
-    },
-    "./_shortw_utils.js": {
-      "import": "./esm/_shortw_utils.js",
-      "require": "./_shortw_utils.js"
-    },
-    "./bls12-381.js": {
-      "import": "./esm/bls12-381.js",
-      "require": "./bls12-381.js"
-    },
-    "./bn254.js": {
-      "import": "./esm/bn254.js",
-      "require": "./bn254.js"
-    },
-    "./utils.js": {
-      "import": "./esm/utils.js",
-      "require": "./utils.js"
-    },
-    "./ed448.js": {
-      "import": "./esm/ed448.js",
-      "require": "./ed448.js"
-    },
-    "./ed25519.js": {
-      "import": "./esm/ed25519.js",
-      "require": "./ed25519.js"
-    },
-    "./index.js": {
-      "import": "./esm/index.js",
-      "require": "./index.js"
-    },
-    "./jubjub.js": {
-      "import": "./esm/jubjub.js",
-      "require": "./jubjub.js"
-    },
-    "./misc.js": {
-      "import": "./esm/misc.js",
-      "require": "./misc.js"
-    },
-    "./nist.js": {
-      "import": "./esm/nist.js",
-      "require": "./nist.js"
-    },
-    "./p256.js": {
-      "import": "./esm/p256.js",
-      "require": "./p256.js"
-    },
-    "./p384.js": {
-      "import": "./esm/p384.js",
-      "require": "./p384.js"
-    },
-    "./p521.js": {
-      "import": "./esm/p521.js",
-      "require": "./p521.js"
-    },
-    "./pasta.js": {
-      "import": "./esm/pasta.js",
-      "require": "./pasta.js"
-    },
-    "./secp256k1.js": {
-      "import": "./esm/secp256k1.js",
-      "require": "./secp256k1.js"
-    }
-  },
+  "module": "index.js",
   "engines": {
-    "node": "^14.21.3 || >=16"
+    "node": ">= 20.19.0"
   },
@@ -271,0 +56,0 @@ "keywords": [

README.md

@@ -8,3 +8,3 @@ # noble-curves
 - 🏎 Fast: hand-optimized for caveats of JS engines
-- 🔍 Reliable: tested against cross-library, wycheproof and acvp vectors
+- 🔍 Reliable: cross-library / wycheproof tests and fuzzing ensure correctness
 - ➰ Weierstrass, Edwards, Montgomery curves; ECDSA, EdDSA, Schnorr, BLS signatures
@@ -60,125 +60,140 @@ - ✍️ ECDH, hash-to-curve, OPRF, Poseidon ZK-friendly hash
 import { jubjub, babyjubjub } from '@noble/curves/misc.js';
+
+// hash-to-curve
+import { secp256k1_hasher } from '@noble/curves/secp256k1.js';
+import { p256_hasher, p384_hasher, p521_hasher } from '@noble/curves/nist.js';
+import { ristretto255_hasher } from '@noble/curves/ed25519.js';
+import { decaf448_hasher } from '@noble/curves/ed448.js';
+
+// OPRFs
+import { p256_oprf, p384_oprf, p521_oprf } from '@noble/curves/nist.js';
+import { ristretto255_oprf } from '@noble/curves/ed25519.js';
+import { decaf448_orpf } from '@noble/curves/ed448.js';
+
+// utils
+import { weierstrass, ecdsa } from '@noble/curves/abstract/weierstrass.js';
+import { edwards, eddsa } from '@noble/curves/abstract/edwards.js';
+import { poseidon, poseidonSponge } from '@noble/curves/abstract/poseidon.js';
+import { Field, mod, pow } from '@noble/curves/abstract/modular.js';
+import { FFT, poly } from '@noble/curves/abstract/fft.js';
 import { bytesToHex, hexToBytes, concatBytes, utf8ToBytes } from '@noble/curves/abstract/utils.js';
 ```
 
-- [ECDSA signatures over secp256k1 and others](#ecdsa-signatures-over-secp256k1-and-others)
-- [Hedged ECDSA with noise](#hedged-ecdsa-with-noise)
-- [ECDH: Diffie-Hellman shared secrets](#ecdh-diffie-hellman-shared-secrets)
-- [secp256k1 Schnorr signatures from BIP340](#secp256k1-schnorr-signatures-from-bip340)
-- [ed25519](#ed25519) / [X25519](#x25519) / [ristretto255](#ristretto255)
-- [ed448](#ed448) / [X448](#x448) / [decaf448](#decaf448)
-- [bls12-381](#bls12-381)
-- [bn254 aka alt_bn128](#bn254-aka-alt_bn128)
-- [misc curves](#misc-curves)
-- [Low-level methods](#low-level-methods)
-- [Abstract API](#abstract-api)
-  - [weierstrass](#weierstrass-short-weierstrass-curve), [Projective Point](#projective-weierstrass-point), [ECDSA signatures](#ecdsa-signatures)
-  - [edwards](#edwards-twisted-edwards-curve), [Extended Point](#extended-edwards-point), [EdDSA signatures](#eddsa-signatures)
-  - [montgomery](#montgomery-montgomery-curve)
-  - [bls](#bls-barreto-lynn-scott-curves)
-  - [hash-to-curve](#hash-to-curve-hashing-strings-to-curve-points)
-  - [poseidon](#poseidon-poseidon-hash)
-  - [modular](#modular-modular-arithmetics-utilities)
-  - [fft](#fft-fast-fourier-transform)
-  - [Creating private keys from hashes](#creating-private-keys-from-hashes)
-  - [utils](#utils-useful-utilities)
-- [Security](#security)
-- [Speed](#speed)
-- [Upgrading](#upgrading)
-- [Contributing & testing](#contributing--testing)
-- [License](#license)
 
-### Implementations
+### ECDSA, EdDSA, Schnorr signatures
 
-#### ECDSA signatures over secp256k1 and others
+#### secp256k1, p256, p384, p521, ed25519, ed448
 
-```ts
-import { secp256k1 } from '@noble/curves/secp256k1.js';
-// import { p256 } from '@noble/curves/nist.js'; // or p384 / p521
+```js
+import { secp256k1, schnorr } from '@noble/curves/secp256k1.js';
+import { p256, p384, p521 } from '@noble/curves/nist.js';
+import { ed25519 } from '@noble/curves/ed25519.js';
+import { ed448 } from '@noble/curves/ed448.js';
 
-const priv = secp256k1.utils.randomPrivateKey();
-const pub = secp256k1.getPublicKey(priv);
-const msg = new Uint8Array(32).fill(1); // message hash (not message) in ecdsa
-const sig = secp256k1.sign(msg, priv); // `{prehash: true}` option is available
-const isValid = secp256k1.verify(sig, msg, pub) === true;
+import { hexToBytes, utf8ToBytes } from '@noble/curves/utils.js';
 
-// hex strings are also supported besides Uint8Array-s:
-const privHex = '46c930bc7bb4db7f55da20798697421b98c4175a52c630294d75a84b9c126236';
-const pub2 = secp256k1.getPublicKey(privHex);
+for (const curve of [secp256k1, schnorr, p256, p384, p521, ed25519, ed448]) {
+  const { secretKey, publicKey } = curve.keygen();
+  const msg = utf8ToBytes('hello noble');
+  const sig = curve.sign(msg, secretKey);
+  const isValid = curve.verify(sig, msg, publicKey);
+  console.log(curve, secretKey, publicKey, sig);
+}
 
-// public key recovery
-// let sig = secp256k1.Signature.fromCompact(sigHex); // or .fromDER(sigDERHex)
-// sig = sig.addRecoveryBit(bit); // bit is not serialized into compact / der format
-sig.recoverPublicKey(msg).toRawBytes(); // === pub; // public key recovery
+// Specific private key
+const priv2 = hexToBytes('46c930bc7bb4db7f55da20798697421b98c4175a52c630294d75a84b9c126236');
+const pub2 = secp256k1.getPublicKey(priv2);
 ```
 
-The same code would work for NIST P256 (secp256r1), P384 (secp384r1) & P521 (secp521r1).
+- We provide NIST P256 (same as secp256r1 / prime256v1), P384 (secp384r1) & P521 (secp521r1),
+their hash-to-curve methods, and OPRFs.
+- ECDSA signatures conform to ....
+- EdDSA conform to RFC8032.
+- Schnorr is only available for secp256k1 and conforms to BIP340.
 
-#### Hedged ECDSA with noise
+#### ristretto255, decaf448
 
 ```ts
-const noisySignature = secp256k1.sign(msg, priv, { extraEntropy: true });
-const ent = new Uint8Array(32).fill(3); // set custom entropy
-const noisySignature2 = secp256k1.sign(msg, priv, { extraEntropy: ent });
-```
+import { ristretto255, ristretto255_hasher, ristretto255_oprf } from '@noble/curves/ed25519.js';
+import { decaf448, decaf448_hasher, decaf448_oprf } from '@noble/curves/ed448.js';
 
-Hedged ECDSA is add-on, providing improved protection against fault attacks.
-It adds noise to signatures. The technique is used by default in BIP340; we also implement them
-optionally for ECDSA. Check out blog post
-[Deterministic signatures are not your friends](https://paulmillr.com/posts/deterministic-signatures/)
-and [spec draft](https://datatracker.ietf.org/doc/draft-irtf-cfrg-det-sigs-with-noise/).
+import { sha512 } from '@noble/hashes/sha2.js';
+import { shake256 } from '@noble/hashes/sha3.js';
 
-#### ECDH: Diffie-Hellman shared secrets
+const msg = new TextEncoder().encode('Ristretto is traditionally a short shot of espresso coffee');
+hashToCurve(msg);
 
-```ts
-const someonesPub = secp256k1.getPublicKey(secp256k1.utils.randomPrivateKey());
-const shared = secp256k1.getSharedSecret(priv, someonesPub);
-// NOTE:
-// - `shared` includes parity byte: strip it using shared.slice(1)
-// - `shared` is not hashed: more secure way is sha256(shared) or hkdf(shared)
+const dp = DecafPoint.fromHex(
+  'c898eb4f87f97c564c6fd61fc7e49689314a1f818ec85eeb3bd5514ac816d38778f69ef347a89fca817e66defdedce178c7cc709b2116e75'
+);
+DecafPoint.BASE.multiply(2n).add(dp).subtract(DecafPoint.BASE).toBytes();
+DecafPoint.ZERO.equals(dp) === false;
+// pre-hashed hash-to-curve
+DecafPoint.hashToCurve(shake256(msg, { dkLen: 112 }));
+// full hash-to-curve including domain separation tag
+hashToDecaf448(msg, { DST: 'decaf448_XOF:SHAKE256_D448MAP_RO_' });
 ```
 
-#### secp256k1 Schnorr signatures from BIP340
+Check out [RFC9496](https://www.rfc-editor.org/rfc/rfc9496) more info on ristretto255 & decaf448.
 
-```ts
-import { schnorr } from '@noble/curves/secp256k1.js';
-const priv = schnorr.utils.randomPrivateKey();
-const pub = schnorr.getPublicKey(priv);
-const msg = new TextEncoder().encode('hello');
-const sig = schnorr.sign(msg, priv);
-const isValid = schnorr.verify(sig, msg, pub);
-```
+#### Prehashed signing
 
-#### ed25519
+#### Hedged ECDSA with noise
 
-```ts
-import { ed25519 } from '@noble/curves/ed25519.js';
-const priv = ed25519.utils.randomPrivateKey();
-const pub = ed25519.getPublicKey(priv);
-const msg = new TextEncoder().encode('hello');
-const sig = ed25519.sign(msg, priv);
-ed25519.verify(sig, msg, pub); // Default mode: follows ZIP215
-ed25519.verify(sig, msg, pub, { zip215: false }); // SBS / e-voting / RFC8032 / FIPS 186-5
+#### Consensus-friendliness vs e-voting
 
+#### webcrypto: Friendly wrapper
+
+
+```js
+const sig2 = curve.sign(msg, secretKey, { prehash: false })
+const msg = new Uint8Array(32).fill(1); // message hash (not message) in ecdsa
+const sig = secp256k1.sign(msg, priv); // `{prehash: true}` option is available
+const isValid = secp256k1.verify(sig, msg, pub) === true;
+
+const isValid = ed25519.verify(sig, msg, pub); // Default mode: follows ZIP215
+
+// SBS / e-voting / RFC8032 / FIPS 186-5
+const isValidRfc = ed25519.verify(sig, msg, pub, { zip215: false });
+
 // Variants from RFC8032: with context, prehashed
 import { ed25519ctx, ed25519ph } from '@noble/curves/ed25519.js';
+
+
+import { secp256k1 } from '@noble/curves/secp256k1.js';
+// random entropy
+const sigNoisy = secp256k1.sign(msg, priv, { extraEntropy: true });
+// set custom entropy
+const ent = new Uint8Array(32).fill(3);
+const sigNoisy2 = secp256k1.sign(msg, priv, { extraEntropy: ent });
 ```
 
-Default `verify` behavior follows ZIP215 and
-can be used in consensus-critical applications.
-If you need SBS (Strongly Binding Signatures) and FIPS 186-5 compliance,
-use `zip215: false`. Check out [Edwards Signatures section for more info](#edwards-twisted-edwards-curve).
-Both options have SUF-CMA (strong unforgeability under chosen message attacks).
+- Hedged ECDSA is add-on, providing improved protection against fault attacks.
+  It adds noise to signatures.
+  The technique is used by default in BIP340; we also implement them optionally for ECDSA.
+  Check out blog post [Deterministic signatures are not your friends](https://paulmillr.com/posts/deterministic-signatures/)
+  and [cfrg-det-sigs-with-noise draft](https://datatracker.ietf.org/doc/draft-irtf-cfrg-det-sigs-with-noise/).
+- In ed25519 & ed448, default `verify` behavior follows ZIP215 and
+  can be used in consensus-critical applications.
+  If you need SBS (Strongly Binding Signatures) and FIPS 186-5 compliance,
+  use `zip215: false`. Check out [Edwards Signatures section for more info](#edwards-twisted-edwards-curve).
+  Both options have SUF-CMA (strong unforgeability under chosen message attacks).
 
-#### X25519
+### ECDH: Diffie-Hellman shared secrets
 
-```ts
-// X25519 aka ECDH on Curve25519 from [RFC7748](https://www.rfc-editor.org/rfc/rfc7748)
+```js
+import { secp256k1 } from '@noble/curves/secp256k1.js';
 import { x25519 } from '@noble/curves/ed25519.js';
-const priv = 'a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4';
-const pub = 'e6db6867583030db3594c1a424b15f7c726624ec26b3353b10a903a6d0ab1c4c';
+import { x448 } from '@noble/curves/ed448.js';
+import { p256, p384, p521 } from '@noble/curves/nist.js';
+
+for (const curve of [secp256k1, schnorr, x25519, x448, p256, p384, p521]) {
+  const alice = curve.keygen();
+  const bob = curve.keygen();
+  const sharedKey = curve.getSharedSecret(alice.secretKey, bob.publicKey);
+  console.log('alice', alice, 'bob', bob, 'shared', sharedKey);
+}
+
 x25519.getSharedSecret(priv, pub) === x25519.scalarMult(priv, pub); // aliases
 x25519.getPublicKey(priv) === x25519.scalarMultBase(priv);
-x25519.getPublicKey(x25519.utils.randomPrivateKey());
-
 // ed25519 => x25519 conversion
@@ -190,82 +205,15 @@ import { edwardsToMontgomeryPub, edwardsToMontgomeryPriv } from '@noble/curves/ed25519.js';
 
-#### ristretto255
+- X25519 aka ECDH on Curve25519 from [RFC7748](https://www.rfc-editor.org/rfc/rfc7748).
+- X448 aka ECDH on Curve448 from [RFC7748](https://www.rfc-editor.org/rfc/rfc7748)
 
-```ts
-import { sha512 } from '@noble/hashes/sha2.js';
-import {
-  hashToCurve,
-  encodeToCurve,
-  RistrettoPoint,
-  hashToRistretto255,
-} from '@noble/curves/ed25519.js';
+> [!NOTE]
+> In Weierstrass curves, shared secrets include y-parity bytes. To strip it, use `key.slice(1)`.
 
-const msg = new TextEncoder().encode('Ristretto is traditionally a short shot of espresso coffee');
-hashToCurve(msg);
+> [!NOTE]
+> In Weierstrass curves, shared secrets are not hashed: use hashing or KDF on top, like `sha256(shared)` or `hkdf(shared)`.
 
-const rp = RistrettoPoint.fromHex(
-  '6a493210f7499cd17fecb510ae0cea23a110e8d5b901f8acadd3095c73a3b919'
-);
-RistrettoPoint.BASE.multiply(2n).add(rp).subtract(RistrettoPoint.BASE).toRawBytes();
-RistrettoPoint.ZERO.equals(dp) === false;
-// pre-hashed hash-to-curve
-RistrettoPoint.hashToCurve(sha512(msg));
-// full hash-to-curve including domain separation tag
-hashToRistretto255(msg, { DST: 'ristretto255_XMD:SHA-512_R255MAP_RO_' });
-```
 
-Check out [RFC9496](https://www.rfc-editor.org/rfc/rfc9496) more info on ristretto255.
+### BLS signatures, bls12-381, bn254 aka alt_bn128
 
-#### ed448
-
 ```ts
-import { ed448 } from '@noble/curves/ed448.js';
-const priv = ed448.utils.randomPrivateKey();
-const pub = ed448.getPublicKey(priv);
-const msg = new TextEncoder().encode('whatsup');
-const sig = ed448.sign(msg, priv);
-ed448.verify(sig, msg, pub);
-
-// Variants from RFC8032: prehashed
-import { ed448ph } from '@noble/curves/ed448.js';
-```
-
-#### X448
-
-```ts
-// X448 aka ECDH on Curve448 from [RFC7748](https://www.rfc-editor.org/rfc/rfc7748)
-import { x448 } from '@noble/curves/ed448.js';
-x448.getSharedSecret(priv, pub) === x448.scalarMult(priv, pub); // aliases
-x448.getPublicKey(priv) === x448.scalarMultBase(priv);
-
-// ed448 => x448 conversion
-import { edwardsToMontgomeryPub } from '@noble/curves/ed448.js';
-edwardsToMontgomeryPub(ed448.getPublicKey(ed448.utils.randomPrivateKey()));
-```
-
-#### decaf448
-
-```ts
-// decaf448 from [RFC9496](https://www.rfc-editor.org/rfc/rfc9496)
-import { shake256 } from '@noble/hashes/sha3.js';
-import { hashToCurve, encodeToCurve, DecafPoint, hashToDecaf448 } from '@noble/curves/ed448.js';
-
-const msg = new TextEncoder().encode('Ristretto is traditionally a short shot of espresso coffee');
-hashToCurve(msg);
-
-const dp = DecafPoint.fromHex(
-  'c898eb4f87f97c564c6fd61fc7e49689314a1f818ec85eeb3bd5514ac816d38778f69ef347a89fca817e66defdedce178c7cc709b2116e75'
-);
-DecafPoint.BASE.multiply(2n).add(dp).subtract(DecafPoint.BASE).toRawBytes();
-DecafPoint.ZERO.equals(dp) === false;
-// pre-hashed hash-to-curve
-DecafPoint.hashToCurve(shake256(msg, { dkLen: 112 }));
-// full hash-to-curve including domain separation tag
-hashToDecaf448(msg, { DST: 'decaf448_XOF:SHAKE256_D448MAP_RO_' });
-```
-
-Check out [RFC9496](https://www.rfc-editor.org/rfc/rfc9496) more info on decaf448.
-
-#### bls12-381
-
-```ts
 import { bls12_381 } from '@noble/curves/bls12-381.js';
@@ -317,15 +265,7 @@ import { hexToBytes } from '@noble/curves/abstract/utils.js';
 
-#### bn254 aka alt_bn128
-
-```ts
-import { bn254 } from '@noble/curves/bn254.js';
-
-console.log(bn254.G1, bn254.G2, bn254.pairing);
-```
-
-The API mirrors [BLS](#bls12-381). The curve was previously called alt_bn128.
+The BN254 API mirrors [BLS](#bls12-381). The curve was previously called alt_bn128.
 The implementation is compatible with [EIP-196](https://eips.ethereum.org/EIPS/eip-196) and
 [EIP-197](https://eips.ethereum.org/EIPS/eip-197).
 
-We don't implement Point methods toHex / toRawBytes.
+We don't implement Point methods toBytes.
 To work around this limitation, has to initialize points on their own from BigInts.
@@ -341,84 +281,74 @@ Reason it's not implemented is because [there is no standard](https://github.com/privacy-scaling-explorations/halo2curves/issues/109).
 
-#### misc curves
+### Low-level math: EC Point, modular
 
-```ts
+```js
+import { secp256k1, schnorr } from '@noble/curves/secp256k1.js';
+import { p256, p384, p521 } from '@noble/curves/nist.js';
+import { ed25519, ristretto255 } from '@noble/curves/ed25519.js';
+import { ed448, decaf448 } from '@noble/curves/ed448.js';
+import { bls12_381 } from '@noble/curves/bls12-381.js'
+import { bn254 } from '@noble/curves/bn254.js';
 import { jubjub, babyjubjub } from '@noble/curves/misc.js';
-```
 
-Miscellaneous, rarely used curves are contained in the module.
-Jubjub curves have Fp over scalar fields of other curves. They are friendly to ZK proofs.
-jubjub Fp = bls n. babyjubjub Fp = bn254 n.
+const curves = [
+  secp256k1, schnorr, p256, p384, p521, ed25519, ed448,
+  ristretto255, decaf448,
+  bls12_381.G1, bls12_381.G2, bn254.G1, bn254.G2,
+  jubjub, babyjubjub
+];
+for (const curve of curves) {
+  const { info, Point } = curve;
+  const { BASE, ZERO, Fp, Fn } = Point;
+  const p = BASE.multiply(2n);
 
-## Abstract API
+  // Initialization
+  if (info.type === 'weierstrass') {
+    // projective (homogeneous) coordinates: (X, Y, Z) ∋ (x=X/Z, y=Y/Z)
+    const p_ = new Point(BASE.X, BASE.Y, BASE.Z);
+  } else if (info.type === 'edwards') {
+    // extended coordinates: (X, Y, Z, T) ∋ (x=X/Z, y=Y/Z)
+    const p_ = new Point(BASE.X, BASE.Y, BASE.Z, BASE.T);
+  }
 
-Abstract API allows to define custom curves. All arithmetics is done with JS
-bigints over finite fields, which is defined from `modular` sub-module.
-For scalar multiplication, we use
-[precomputed tables with w-ary non-adjacent form (wNAF)](https://paulmillr.com/posts/noble-secp256k1-fast-ecc/).
-Precomputes are enabled for weierstrass and edwards BASE points of a curve.
-Implementations use [noble-hashes](https://github.com/paulmillr/noble-hashes).
-It's always possible to use different hashing library.
+  // Math
+  const p1 = p.add(p);
+  const p2 = p.double();
+  const p3 = p.subtract(p);
+  const p4 = p.negate();
+  const p5 = p.multiply(451n);
 
+  // MSM (multi-scalar multiplication)
+  const pa = [BASE, BASE.multiply(2n), BASE.multiply(4n), BASE.multiply(8n)];
+  const p6 = Point.msm(pa, [3n, 5n, 7n, 11n]);
+  const _true3 = p6.equals(BASE.multiply(129n)); // 129*G
 
-### weierstrass: Short Weierstrass curve
+  const pcl = p.clearCofactor();
+  console.log(p.isTorsionFree(), p.isSmallOrder());
 
-```js
-import { weierstrass } from '@noble/curves/abstract/weierstrass.js';
-// NIST secp192r1 aka p192. https://www.secg.org/sec2-v2.pdf
-const p192_CURVE = {
-  p: 0xfffffffffffffffffffffffffffffffeffffffffffffffffn,
-  n: 0xffffffffffffffffffffffff99def836146bc9b1b4d22831n,
-  h: 1n,
-  a: 0xfffffffffffffffffffffffffffffffefffffffffffffffcn,
-  b: 0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1n,
-  Gx: 0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012n,
-  Gy: 0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811n,
-};
-const p192_Point = weierstrass(p192_CURVE);
+  const r1 = p.toBytes();
+  const r1_ = Point.fromBytes(r1);
+  const r2 = p.toAffine();
+  const { x, y } = r2;
+  const r2_ = Point.fromAffine(r2);
+}
 ```
 
-Short Weierstrass curve's formula is `y² = x³ + ax + b`. `weierstrass`
-expects arguments `a`, `b`, field characteristic `p`, curve order `n`,
-cofactor `h` and coordinates `Gx`, `Gy` of generator point.
+#### Modular math
 
-#### Projective Weierstrass Point
-
 ```js
-// # weierstrass Point methods
-// projective (homogeneous) coordinates: (x, y, z) ∋ (x=x/z, y=y/z)
-// const p = new Point(x, y, z);
-const p = Point.BASE;
-// arithmetics
-p.add(p).equals(p.double());
-p.subtract(p).equals(Point.ZERO);
-p.negate();
-p.multiply(31415n);
+import { mod, invert, Field } from '@noble/curves/abstract/modular.js';
 
-// decoding, encoding
-const b = p.toBytes();
-const p2 = Point.fromBytes(b);
-// affine conversion
-const { x, y } = p.toAffine();
-const p3 = Point.fromAffine({ x, y });
+// Finite Field utils
+const fp = Field(2n ** 255n - 19n); // Finite field over 2^255-19
+fp.mul(591n, 932n); // multiplication
+fp.pow(481n, 11024858120n); // exponentiation
+fp.div(5n, 17n); // division: 5/17 mod 2^255-19 == 5 * invert(17)
+fp.inv(5n); // modular inverse
+fp.sqrt(21n); // square root
 
-// Multi-scalar-multiplication (MSM) is basically `(Pa + Qb + Rc + ...)`.
-// It's 10-30x faster vs naive addition for large amount of points.
-// Pippenger algorithm is used underneath.
-const points = [Point.BASE, Point.BASE.multiply(2n), Point.BASE.multiply(4n), Point.BASE.multiply(8n)];
-Point.msm(points, [3n, 5n, 7n, 11n]).equals(Point.BASE.multiply(129n)); // 129*G
+// Non-Field generic utils are also available
+mod(21n, 10n); // 21 mod 10 == 1n; fixed version of 21 % 10
+invert(17n, 10n); // invert(17) mod 10; modular multiplicative inverse
 ```
 
-#### ECDSA signatures
-
-```js
-import { ecdsa } from '@noble/curves/abstract/weierstrass.js';
-import { sha256 } from '@noble/hashes/sha2.js';
-const p192 = ecdsa(p192_Point, sha256);
-const priv = p192.utils.randomPrivateKey();
-const pub = p192.getPublicKey(priv);
-const msg = sha256(new TextEncoder().encode('custom curve'));
-const sig = p192.sign(msg);
-const isValid = p192.verify(sig, msg, pub);
-```
-
 ECDSA signatures:
@@ -435,58 +365,18 @@
 
-### edwards: Twisted Edwards curve
+All arithmetics is done with JS
+bigints over finite fields, which is defined from `modular` sub-module.
+For scalar multiplication, we use
+[precomputed tables with w-ary non-adjacent form (wNAF)](https://paulmillr.com/posts/noble-secp256k1-fast-ecc/).
+Precomputes are enabled for weierstrass and edwards BASE points of a curve.
+Field operations are not constant-time: they are using JS bigints, see [security](#security).
+The fact is mostly irrelevant, but the important method to keep in mind is `pow`,
+which may leak exponent bits, when used naïvely.
 
-```ts
-import { edwards } from '@noble/curves/abstract/edwards.js';
-const ed25519_CURVE = {
-  p: 0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffedn,
-  n: 0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3edn,
-  h: 8n,
-  a: 0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffecn,
-  d: 0x52036cee2b6ffe738cc740797779e89800700a4d4141d8ab75eb4dca135978a3n,
-  Gx: 0x216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51an,
-  Gy: 0x6666666666666666666666666666666666666666666666666666666666666658n,
-};
-const ed25519_Point = edwards(ed25519_CURVE);
-```
+`mod.Field` is always **field over prime number**. Non-prime fields aren't supported for now.
+We don't test for prime-ness for speed and because algorithms are probabilistic anyway.
+Initializing a non-prime field could make your app suspectible to
+DoS (infilite loop) on Tonelli-Shanks square root calculation.
 
-Twisted Edwards curve's formula is `ax² + y² = 1 + dx²y²`.
-You must specify `a`, `d`, field characteristic `p`, curve order `n` (sometimes named as `L`),
-cofactor `h` and coordinates `Gx`, `Gy` of generator point.
+Unlike `mod.inv`, `mod.invertBatch` won't throw on `0`: make sure to throw an error yourself.
 
-#### Extended Edwards Point
-
-```js
-const Point = ed25519_Point;
-// extended coordinates: (x, y, z, t) ∋ (x=x/z, y=y/z)
-// const p = new Point(x, y, z, t);
-
-const p = Point.BASE;
-// arithmetics
-p.add(p).equals(p.double());
-p.subtract(p).equals(Point.ZERO);
-p.negate();
-p.multiply(31415n);
-
-// decoding, encoding
-const b = p.toBytes();
-const p2 = Point.fromBytes(b);
-// on-curve test
-p.assertValidity();
-// affine conversion
-const { x, y } = p.toAffine();
-const p3 = Point.fromAffine({ x, y });
-// misc
-const pcl = p.clearCofactor();
-console.log(p.isTorsionFree(), p.isSmallOrder());
-```
-
-#### EdDSA signatures
-
-```js
-const ed25519 = eddsa(ed25519_Point, { hash: sha512 });
-// ed25519.getPublicKey();
-// ed25519.sign();
-// ed25519.verify();
-```
-
 We define ed25519, ed448; user can use custom curves with EdDSA,
@@ -508,34 +398,65 @@ but EdDSA in general is not defined. Check out `edwards.ts` source code.
 
-### montgomery: Montgomery curve
+### Making custom curves
 
-The module contains methods for x-only ECDH on Curve25519 / Curve448 from RFC7748.
-Proper Elliptic Curve Points are not implemented yet.
+- Short Weierstrass curve's formula is `y² = x³ + ax + b`. `weierstrass`
+expects arguments `a`, `b`, field characteristic `p`, curve order `n`,
+cofactor `h` and coordinates `Gx`, `Gy` of generator point.
+- Twisted Edwards curve's formula is `ax² + y² = 1 + dx²y²`.
+  You must specify `a`, `d`, field characteristic `p`, curve order `n` (sometimes named as `L`),
+  cofactor `h` and coordinates `Gx`, `Gy` of generator point.
 
-### bls: Barreto-Lynn-Scott curves
+#### Custom Weierstrass curve
 
-The module abstracts BLS (Barreto-Lynn-Scott) pairing-friendly elliptic curve construction.
-They allow to construct [zk-SNARKs](https://z.cash/technology/zksnarks/) and
-use aggregated, batch-verifiable
-[threshold signatures](https://medium.com/snigirev.stepan/bls-signatures-better-than-schnorr-5a7fe30ea716),
-using Boneh-Lynn-Shacham signature scheme.
+```js
+import { weierstrass } from '@noble/curves/abstract/weierstrass.js';
+// NIST secp192r1 aka p192. https://www.secg.org/sec2-v2.pdf
+const p192_CURVE = {
+  p: 0xfffffffffffffffffffffffffffffffeffffffffffffffffn,
+  n: 0xffffffffffffffffffffffff99def836146bc9b1b4d22831n,
+  h: 1n,
+  a: 0xfffffffffffffffffffffffffffffffefffffffffffffffcn,
+  b: 0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1n,
+  Gx: 0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012n,
+  Gy: 0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811n,
+};
+const p192_Point = weierstrass(p192_CURVE);
+```
 
-The module doesn't expose `CURVE` property: use `G1.CURVE`, `G2.CURVE` instead.
-Only BLS12-381 is currently implemented.
-Defining BLS12-377 and BLS24 should be straightforward.
+#### Custom Edwards curve
 
-The default BLS uses short public keys (with public keys in G1 and signatures in G2).
-Short signatures (public keys in G2 and signatures in G1) are also supported.
+```js
+import { edwards } from '@noble/curves/abstract/edwards.js';
+const ed25519_CURVE = {
+  p: 0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffedn,
+  n: 0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3edn,
+  h: 8n,
+  a: 0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffecn,
+  d: 0x52036cee2b6ffe738cc740797779e89800700a4d4141d8ab75eb4dca135978a3n,
+  Gx: 0x216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51an,
+  Gy: 0x6666666666666666666666666666666666666666666666666666666666666658n,
+};
+const ed25519_Point = edwards(ed25519_CURVE);
+```
 
-### hash-to-curve: Hashing strings to curve points
+#### Custom ECDSA, requires curve and hash
 
-The module allows to hash arbitrary strings to elliptic curve points. Implements [RFC 9380](https://www.rfc-editor.org/rfc/rfc9380).
+```js
+import { ecdsa } from '@noble/curves/abstract/weierstrass.js';
+import { sha256 } from '@noble/hashes/sha2.js';
+const p192 = ecdsa(p192_Point, sha256);
+const p192_sha224 = ecdsa(p192.Point, sha224);
+const keys = p192.keygen();
+const msg = new TextEncoder().encode('custom curve');
+const sig = p192.sign(msg, keys.secretKey);
+const isValid = p192.verify(sig, msg, keys.publicKey);
+// const ed25519 = eddsa(ed25519_Point, { hash: sha512 });
+```
 
-Every curve has exported `hashToCurve` and `encodeToCurve` methods. You should always prefer `hashToCurve` for security:
+### hash-to-curve: hashing to curve points
 
 ```ts
-import { hashToCurve, encodeToCurve } from '@noble/curves/secp256k1.js';
-import { randomBytes } from '@noble/hashes/utils.js';
-hashToCurve('0102abcd');
-console.log(hashToCurve(randomBytes()));
-console.log(encodeToCurve(randomBytes()));
+import { secp256k1_hasher } from '@noble/curves/secp256k1.js';
+import { p256_hasher, p384_hasher, p521_hasher } from '@noble/curves/nist.js';
+import { ristretto255_hasher } from '@noble/curves/ed25519.js';
+import { decaf448_hasher } from '@noble/curves/ed448.js';
 
@@ -545,44 +466,27 @@ import { bls12_381 } from '@noble/curves/bls12-381.js';
 bls12_381.G2.hashToCurve(randomBytes(), { DST: 'custom' });
+
+import { expand_message_xmd, expand_message_xof, hash_to_field } from '@noble/curves/abstract/hash-to-curve.js';
 ```
 
-Low-level methods from the spec:
+The module allows to hash arbitrary strings to elliptic curve points. Implements [RFC 9380](https://www.rfc-editor.org/rfc/rfc9380).
 
-```ts
-// produces a uniformly random byte string using a cryptographic hash function H that outputs b bits.
-function expand_message_xmd(
-  msg: Uint8Array,
-  DST: Uint8Array,
-  lenInBytes: number,
-  H: CHash // For CHash see abstract/weierstrass docs section
-): Uint8Array;
-// produces a uniformly random byte string using an extendable-output function (XOF) H.
-function expand_message_xof(
-  msg: Uint8Array,
-  DST: Uint8Array,
-  lenInBytes: number,
-  k: number,
-  H: CHash
-): Uint8Array;
-// Hashes arbitrary-length byte strings to a list of one or more elements of a finite field F
-function hash_to_field(msg: Uint8Array, count: number, options: Opts): bigint[][];
+Every curve has exported `hashToCurve` and `encodeToCurve` methods. You should always prefer `hashToCurve` for security:
 
-/**
- * * `DST` is a domain separation tag, defined in section 2.2.5
- * * `p` characteristic of F, where F is a finite field of characteristic p and order q = p^m
- * * `m` is extension degree (1 for prime fields)
- * * `k` is the target security target in bits (e.g. 128), from section 5.1
- * * `expand` is `xmd` (SHA2, SHA3, BLAKE) or `xof` (SHAKE, BLAKE-XOF)
- * * `hash` conforming to `utils.CHash` interface, with `outputLen` / `blockLen` props
- */
-type UnicodeOrBytes = string | Uint8Array;
-type Opts = {
-  DST: UnicodeOrBytes;
-  p: bigint;
-  m: number;
-  k: number;
-  expand?: 'xmd' | 'xof';
-  hash: CHash;
-};
+### oprf: oblivious pseudorandom functions
+
+```js
+import { p256_oprf, p384_oprf, p521_oprf } from '@noble/curves/nist.js';
+import { ristretto255_oprf } from '@noble/curves/ed25519.js';
+import { decaf448_orpf } from '@noble/curves/ed448.js';
 ```
 
+We provide OPRFs, conforming to [RFC 9497](https://www.rfc-editor.org/rfc/rfc9497).
+
+OPRF allows to interactively create an `Output = PRF(Input, serverSecretKey)`:
+
+- Server cannot calculate Output by itself: it doesn't know Input
+- Client cannot calculate Output by itself: it doesn't know server secretKey
+- An attacker interception the communication can't restore Input/Output/serverSecretKey and can't
+  link Input to some value.
+
 ### poseidon: Poseidon hash
@@ -622,32 +526,2 @@
 
-### modular: Modular arithmetics utilities
-
-```ts
-import * as mod from '@noble/curves/abstract/modular.js';
-
-// Finite Field utils
-const fp = mod.Field(2n ** 255n - 19n); // Finite field over 2^255-19
-fp.mul(591n, 932n); // multiplication
-fp.pow(481n, 11024858120n); // exponentiation
-fp.div(5n, 17n); // division: 5/17 mod 2^255-19 == 5 * invert(17)
-fp.inv(5n); // modular inverse
-fp.sqrt(21n); // square root
-
-// Non-Field generic utils are also available
-mod.mod(21n, 10n); // 21 mod 10 == 1n; fixed version of 21 % 10
-mod.invert(17n, 10n); // invert(17) mod 10; modular multiplicative inverse
-mod.invertBatch([1n, 2n, 4n], 21n); // => [1n, 11n, 16n] in one inversion
-```
-
-Field operations are not constant-time: they are using JS bigints, see [security](#security).
-The fact is mostly irrelevant, but the important method to keep in mind is `pow`,
-which may leak exponent bits, when used naïvely.
-
-`mod.Field` is always **field over prime number**. Non-prime fields aren't supported for now.
-We don't test for prime-ness for speed and because algorithms are probabilistic anyway.
-Initializing a non-prime field could make your app suspectible to
-DoS (infilite loop) on Tonelli-Shanks square root calculation.
-
-Unlike `mod.inv`, `mod.invertBatch` won't throw on `0`: make sure to throw an error yourself.
-
 ### fft: Fast Fourier Transform
@@ -662,28 +536,5 @@
 
-#### Creating private keys from hashes
+### utils: byte shuffling, conversion
 
-You can't simply make a 32-byte private key from a 32-byte hash.
-Doing so will make the key [biased](https://research.kudelskisecurity.com/2020/07/28/the-definitive-guide-to-modulo-bias-and-how-to-avoid-it/).
-
-To make the bias negligible, we follow [FIPS 186-5 A.2](https://csrc.nist.gov/publications/detail/fips/186/5/final)
-and [RFC 9380](https://www.rfc-editor.org/rfc/rfc9380#section-5.2).
-This means, for 32-byte key, we would need 48-byte hash to get 2^-128 bias, which matches curve security level.
-
-`hashToPrivateScalar()` that hashes to **private key** was created for this purpose.
-Use [abstract/hash-to-curve](#hash-to-curve-hashing-strings-to-curve-points)
-if you need to hash to **public key**.
-
 ```ts
-import { p256 } from '@noble/curves/nist.js';
-import { sha256 } from '@noble/hashes/sha2.js';
-import { hkdf } from '@noble/hashes/hkdf.js';
-import * as mod from '@noble/curves/abstract/modular.js';
-const someKey = new Uint8Array(32).fill(2); // Needs to actually be random, not .fill(2)
-const derived = hkdf(sha256, someKey, undefined, 'application', 48); // 48 bytes for 32-byte priv
-const validPrivateKey = mod.hashToPrivateScalar(derived, p256.CURVE.n);
-```
-
-### utils: Useful utilities
-
-```ts
 import * as utils from '@noble/curves/abstract/utils.js';
@@ -706,7 +557,2 @@
 
-### Unreleased bits
-
-- `test/unreleased-xeddsa.ts` contains implementation of XEd25519, defined by Signal
-- `test/misc/endomorphism.js` contains tool for generation of endomorphism params for Koblitz curves
-
 ## Security
@@ -737,3 +583,3 @@
 It is tested against property-based, cross-library and Wycheproof vectors,
-and is being fuzzed in [the separate repo](https://github.com/paulmillr/fuzzing).
+and is being fuzzed in [the separate repo](https://github.com/paulmillr/integration-tests).
 
@@ -740,0 +586,0 @@ If you see anything unusual: investigate and report.

secp256k1.d.ts

@@ -1,8 +0,4 @@
-import { type CurveFnWithCreate } from './_shortw_utils.ts';
 import type { CurveLengths } from './abstract/curve.ts';
-import { type H2CHasher, type H2CMethod } from './abstract/hash-to-curve.ts';
-import { mod } from './abstract/modular.ts';
-import { type WeierstrassPoint as PointType, type WeierstrassPointCons } from './abstract/weierstrass.ts';
-import type { Hex, PrivKey } from './utils.ts';
-import { bytesToNumberBE, numberToBytesBE } from './utils.ts';
+import { type H2CHasher } from './abstract/hash-to-curve.ts';
+import { type ECDSA, type WeierstrassPoint as PointType, type WeierstrassPointCons } from './abstract/weierstrass.ts';
 /**
@@ -22,3 +18,3 @@ * secp256k1 curve, ECDSA and ECDH methods.
  */
-export declare const secp256k1: CurveFnWithCreate;
+export declare const secp256k1: ECDSA;
 declare function taggedHash(tag: string, ...messages: Uint8Array[]): Uint8Array;
@@ -33,3 +29,3 @@ /**
  */
-declare function schnorrGetPublicKey(secretKey: Hex): Uint8Array;
+declare function schnorrGetPublicKey(secretKey: Uint8Array): Uint8Array;
 /**
@@ -39,3 +35,3 @@ * Creates Schnorr signature as per BIP340. Verifies itself before returning anything.
  */
-declare function schnorrSign(message: Hex, secretKey: PrivKey, auxRand?: Hex): Uint8Array;
+declare function schnorrSign(message: Uint8Array, secretKey: Uint8Array, auxRand?: Uint8Array): Uint8Array;
 /**
@@ -45,3 +41,3 @@ * Verifies Schnorr signature.
  */
-declare function schnorrVerify(signature: Hex, message: Hex, publicKey: Hex): boolean;
+declare function schnorrVerify(signature: Uint8Array, message: Uint8Array, publicKey: Uint8Array): boolean;
 export type SecpSchnorr = {
@@ -61,10 +57,2 @@ keygen: (seed?: Uint8Array) => {
         taggedHash: typeof taggedHash;
-        /** @deprecated use `randomSecretKey` */
-        randomPrivateKey: (seed?: Uint8Array) => Uint8Array;
-        /** @deprecated use `utils` */
-        numberToBytesBE: typeof numberToBytesBE;
-        /** @deprecated use `utils` */
-        bytesToNumberBE: typeof bytesToNumberBE;
-        /** @deprecated use `modular` */
-        mod: typeof mod;
     };
@@ -88,8 +76,4 @@ lengths: CurveLengths;
 /** Hashing / encoding to secp256k1 points / field. RFC 9380 methods. */
-export declare const secp256k1_hasher: H2CHasher<bigint>;
-/** @deprecated use `import { secp256k1_hasher } from '@noble/curves/secp256k1.js';` */
-export declare const hashToCurve: H2CMethod<bigint>;
-/** @deprecated use `import { secp256k1_hasher } from '@noble/curves/secp256k1.js';` */
-export declare const encodeToCurve: H2CMethod<bigint>;
+export declare const secp256k1_hasher: H2CHasher<WeierstrassPointCons<bigint>>;
 export {};
 //# sourceMappingURL=secp256k1.d.ts.map

secp256k1.d.ts.map

@@ -1,1 +0,1 @@
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secp256k1.js

@@ -1,4 +0,1 @@
-"use strict";
-Object.defineProperty(exports, "__esModule", { value: true });
-exports.encodeToCurve = exports.hashToCurve = exports.secp256k1_hasher = exports.schnorr = exports.secp256k1 = void 0;
 /**
@@ -12,11 +9,10 @@ * SECG secp256k1. See [pdf](https://www.secg.org/sec2-v2.pdf).
 /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-const sha2_js_1 = require("@noble/hashes/sha2.js");
-const utils_js_1 = require("@noble/hashes/utils.js");
-const _shortw_utils_ts_1 = require("./_shortw_utils.js");
-const hash_to_curve_ts_1 = require("./abstract/hash-to-curve.js");
-const modular_ts_1 = require("./abstract/modular.js");
-const weierstrass_ts_1 = require("./abstract/weierstrass.js");
-const utils_ts_1 = require("./utils.js");
+import { sha256 } from '@noble/hashes/sha2.js';
+import { randomBytes } from '@noble/hashes/utils.js';
+import { createHasher, isogenyMap } from "./abstract/hash-to-curve.js";
+import { Field, mapHashToField, pow2 } from "./abstract/modular.js";
+import { ecdsa, mapToCurveSimpleSWU, weierstrass, } from "./abstract/weierstrass.js";
+import { abytes, asciiToBytes, bytesToNumberBE, concatBytes, inRange } from "./utils.js";
 // Seems like generator was produced from some seed:
-// `Point.BASE.multiply(Point.Fn.inv(2n, N)).toAffine().x`
+// `Pointk1.BASE.multiply(Pointk1.Fn.inv(2n, N)).toAffine().x`
 // // gives short x 0x3b78ce563f89a0ed9414f5aa28ad0d96d6795f9c63n
@@ -54,14 +50,14 @@ const secp256k1_CURVE = {
     const b3 = (b2 * b2 * y) % P; // x^7
-    const b6 = ((0, modular_ts_1.pow2)(b3, _3n, P) * b3) % P;
-    const b9 = ((0, modular_ts_1.pow2)(b6, _3n, P) * b3) % P;
-    const b11 = ((0, modular_ts_1.pow2)(b9, _2n, P) * b2) % P;
-    const b22 = ((0, modular_ts_1.pow2)(b11, _11n, P) * b11) % P;
-    const b44 = ((0, modular_ts_1.pow2)(b22, _22n, P) * b22) % P;
-    const b88 = ((0, modular_ts_1.pow2)(b44, _44n, P) * b44) % P;
-    const b176 = ((0, modular_ts_1.pow2)(b88, _88n, P) * b88) % P;
-    const b220 = ((0, modular_ts_1.pow2)(b176, _44n, P) * b44) % P;
-    const b223 = ((0, modular_ts_1.pow2)(b220, _3n, P) * b3) % P;
-    const t1 = ((0, modular_ts_1.pow2)(b223, _23n, P) * b22) % P;
-    const t2 = ((0, modular_ts_1.pow2)(t1, _6n, P) * b2) % P;
-    const root = (0, modular_ts_1.pow2)(t2, _2n, P);
+    const b6 = (pow2(b3, _3n, P) * b3) % P;
+    const b9 = (pow2(b6, _3n, P) * b3) % P;
+    const b11 = (pow2(b9, _2n, P) * b2) % P;
+    const b22 = (pow2(b11, _11n, P) * b11) % P;
+    const b44 = (pow2(b22, _22n, P) * b22) % P;
+    const b88 = (pow2(b44, _44n, P) * b44) % P;
+    const b176 = (pow2(b88, _88n, P) * b88) % P;
+    const b220 = (pow2(b176, _44n, P) * b44) % P;
+    const b223 = (pow2(b220, _3n, P) * b3) % P;
+    const t1 = (pow2(b223, _23n, P) * b22) % P;
+    const t2 = (pow2(t1, _6n, P) * b2) % P;
+    const root = pow2(t2, _2n, P);
     if (!Fpk1.eql(Fpk1.sqr(root), y))
@@ -71,3 +67,7 @@ throw new Error('Cannot find square root');
 }
-const Fpk1 = (0, modular_ts_1.Field)(secp256k1_CURVE.p, { sqrt: sqrtMod });
+const Fpk1 = Field(secp256k1_CURVE.p, { sqrt: sqrtMod });
+const Pointk1 = /* @__PURE__ */ weierstrass(secp256k1_CURVE, {
+    Fp: Fpk1,
+    endo: secp256k1_ENDO,
+});
 /**
@@ -87,3 +87,3 @@ * secp256k1 curve, ECDSA and ECDH methods.
  */
-exports.secp256k1 = (0, _shortw_utils_ts_1.createCurve)({ ...secp256k1_CURVE, Fp: Fpk1, lowS: true, endo: secp256k1_ENDO }, sha2_js_1.sha256);
+export const secp256k1 = /* @__PURE__ */ ecdsa(Pointk1, sha256);
 // Schnorr signatures are superior to ECDSA from above. Below is Schnorr-specific BIP0340 code.
@@ -96,11 +96,10 @@ // https://github.com/bitcoin/bips/blob/master/bip-0340.mediawiki
     if (tagP === undefined) {
-        const tagH = (0, sha2_js_1.sha256)((0, utils_ts_1.utf8ToBytes)(tag));
-        tagP = (0, utils_ts_1.concatBytes)(tagH, tagH);
+        const tagH = sha256(asciiToBytes(tag));
+        tagP = concatBytes(tagH, tagH);
         TAGGED_HASH_PREFIXES[tag] = tagP;
     }
-    return (0, sha2_js_1.sha256)((0, utils_ts_1.concatBytes)(tagP, ...messages));
+    return sha256(concatBytes(tagP, ...messages));
 }
 // ECDSA compact points are 33-byte. Schnorr is 32: we strip first byte 0x02 or 0x03
 const pointToBytes = (point) => point.toBytes(true).slice(1);
-const Pointk1 = /* @__PURE__ */ (() => exports.secp256k1.Point)();
 const hasEven = (y) => y % _2n === _0n;
@@ -110,3 +109,3 @@ // Calculate point, scalar and bytes
     const { Fn, BASE } = Pointk1;
-    const d_ = (0, weierstrass_ts_1._normFnElement)(Fn, priv);
+    const d_ = Fn.fromBytes(priv);
     const p = BASE.multiply(d_); // P = d'⋅G; 0 < d' < n check is done inside
@@ -135,3 +134,3 @@ const scalar = hasEven(p.y) ? d_ : Fn.neg(d_);
 }
-const num = utils_ts_1.bytesToNumberBE;
+const num = bytesToNumberBE;
 /**
@@ -153,7 +152,7 @@ * Create tagged hash, convert it to bigint, reduce modulo-n.
  */
-function schnorrSign(message, secretKey, auxRand = (0, utils_js_1.randomBytes)(32)) {
+function schnorrSign(message, secretKey, auxRand = randomBytes(32)) {
     const { Fn } = Pointk1;
-    const m = (0, utils_ts_1.ensureBytes)('message', message);
+    const m = abytes(message, undefined, 'message');
     const { bytes: px, scalar: d } = schnorrGetExtPubKey(secretKey); // checks for isWithinCurveOrder
-    const a = (0, utils_ts_1.ensureBytes)('auxRand', auxRand, 32); // Auxiliary random data a: a 32-byte array
+    const a = abytes(auxRand, 32, 'auxRand'); // Auxiliary random data a: a 32-byte array
     const t = Fn.toBytes(d ^ num(taggedHash('BIP0340/aux', a))); // Let t be the byte-wise xor of bytes(d) and hash/aux(a)
@@ -178,15 +177,14 @@ const rand = taggedHash('BIP0340/nonce', t, px, m); // Let rand = hash/nonce(t || bytes(P) || m)
     const { Fn, BASE } = Pointk1;
-    const sig = (0, utils_ts_1.ensureBytes)('signature', signature, 64);
-    const m = (0, utils_ts_1.ensureBytes)('message', message);
-    const pub = (0, utils_ts_1.ensureBytes)('publicKey', publicKey, 32);
+    const sig = abytes(signature, 64, 'signature');
+    const m = abytes(message, undefined, 'message');
+    const pub = abytes(publicKey, 32, 'publicKey');
     try {
         const P = lift_x(num(pub)); // P = lift_x(int(pk)); fail if that fails
         const r = num(sig.subarray(0, 32)); // Let r = int(sig[0:32]); fail if r ≥ p.
-        if (!(0, utils_ts_1.inRange)(r, _1n, secp256k1_CURVE.p))
+        if (!inRange(r, _1n, secp256k1_CURVE.p))
             return false;
         const s = num(sig.subarray(32, 64)); // Let s = int(sig[32:64]); fail if s ≥ n.
-        if (!(0, utils_ts_1.inRange)(s, _1n, secp256k1_CURVE.n))
+        if (!inRange(s, _1n, secp256k1_CURVE.n))
             return false;
-        // int(challenge(bytes(r)||bytes(P)||m))%n
-        const e = challenge(Fn.toBytes(r), pointToBytes(P), m);
+        const e = challenge(Fn.toBytes(r), pointToBytes(P), m); // int(challenge(bytes(r)||bytes(P)||m))%n
         // R = s⋅G - e⋅P, where -eP == (n-e)P
@@ -217,10 +215,8 @@ const R = BASE.multiplyUnsafe(s).add(P.multiplyUnsafe(Fn.neg(e)));
  */
-exports.schnorr = (() => {
+export const schnorr = /* @__PURE__ */ (() => {
     const size = 32;
     const seedLength = 48;
-    const randomSecretKey = (seed = (0, utils_js_1.randomBytes)(seedLength)) => {
-        return (0, modular_ts_1.mapHashToField)(seed, secp256k1_CURVE.n);
+    const randomSecretKey = (seed = randomBytes(seedLength)) => {
+        return mapHashToField(seed, secp256k1_CURVE.n);
     };
-    // TODO: remove
-    exports.secp256k1.utils.randomSecretKey;
     function keygen(seed) {
@@ -237,11 +233,6 @@ const secretKey = randomSecretKey(seed);
         utils: {
-            randomSecretKey: randomSecretKey,
-            randomPrivateKey: randomSecretKey,
+            randomSecretKey,
             taggedHash,
-            // TODO: remove
             lift_x,
             pointToBytes,
-            numberToBytesBE: utils_ts_1.numberToBytesBE,
-            bytesToNumberBE: utils_ts_1.bytesToNumberBE,
-            mod: modular_ts_1.mod,
         },
@@ -257,3 +248,3 @@ lengths: {
 })();
-const isoMap = /* @__PURE__ */ (() => (0, hash_to_curve_ts_1.isogenyMap)(Fpk1, [
+const isoMap = /* @__PURE__ */ (() => isogenyMap(Fpk1, [
     // xNum
@@ -287,3 +278,3 @@ [
 ].map((i) => i.map((j) => BigInt(j)))))();
-const mapSWU = /* @__PURE__ */ (() => (0, weierstrass_ts_1.mapToCurveSimpleSWU)(Fpk1, {
+const mapSWU = /* @__PURE__ */ (() => mapToCurveSimpleSWU(Fpk1, {
     A: BigInt('0x3f8731abdd661adca08a5558f0f5d272e953d363cb6f0e5d405447c01a444533'),
@@ -294,3 +285,3 @@ B: BigInt('1771'),
 /** Hashing / encoding to secp256k1 points / field. RFC 9380 methods. */
-exports.secp256k1_hasher = (() => (0, hash_to_curve_ts_1.createHasher)(exports.secp256k1.Point, (scalars) => {
+export const secp256k1_hasher = /* @__PURE__ */ (() => createHasher(Pointk1, (scalars) => {
     const { x, y } = mapSWU(Fpk1.create(scalars[0]));
@@ -305,8 +296,4 @@ return isoMap(x, y);
     expand: 'xmd',
-    hash: sha2_js_1.sha256,
+    hash: sha256,
 }))();
-/** @deprecated use `import { secp256k1_hasher } from '@noble/curves/secp256k1.js';` */
-exports.hashToCurve = (() => exports.secp256k1_hasher.hashToCurve)();
-/** @deprecated use `import { secp256k1_hasher } from '@noble/curves/secp256k1.js';` */
-exports.encodeToCurve = (() => exports.secp256k1_hasher.encodeToCurve)();
 //# sourceMappingURL=secp256k1.js.map

secp256k1.js.map

@@ -1,1 +0,1 @@
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src/abstract/bls.ts

@@ -18,19 +18,10 @@ /**
 /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
+import { abytes, memoized, notImplemented, randomBytes } from '../utils.ts';
+import { normalizeZ, type CurveLengths } from './curve.ts';
 import {
-  abytes,
-  ensureBytes,
-  memoized,
-  randomBytes,
-  type CHash,
-  type Hex,
-  type PrivKey,
-} from '../utils.ts';
-import { normalizeZ } from './curve.ts';
-import {
   createHasher,
   type H2CHasher,
   type H2CHashOpts,
+  type H2CMethod,
   type H2COpts,
-  type H2CPointConstructor,
-  type htfBasicOpts,
   type MapToCurve,
@@ -40,10 +31,3 @@ } from './hash-to-curve.ts';
 import type { Fp12, Fp12Bls, Fp2, Fp2Bls, Fp6Bls } from './tower.ts';
-import {
-  _normFnElement,
-  weierstrassPoints,
-  type CurvePointsRes,
-  type CurvePointsType,
-  type WeierstrassPoint,
-  type WeierstrassPointCons,
-} from './weierstrass.ts';
+import { type WeierstrassPoint, type WeierstrassPointCons } from './weierstrass.ts';
 
@@ -59,16 +43,12 @@ type Fp = bigint; // Can be different field?
   fromBytes(bytes: Uint8Array): WeierstrassPoint<Fp>;
-  fromHex(hex: Hex): WeierstrassPoint<Fp>;
+  fromHex(hex: string): WeierstrassPoint<Fp>;
   toBytes(point: WeierstrassPoint<Fp>): Uint8Array;
   toHex(point: WeierstrassPoint<Fp>): string;
-  /** @deprecated use `toBytes` */
-  toRawBytes(point: WeierstrassPoint<Fp>): Uint8Array;
 };
 
-export type SignatureCoder<Fp> = {
+export type LongSignatureCoder<Fp> = {
   fromBytes(bytes: Uint8Array): WeierstrassPoint<Fp>;
-  fromHex(hex: Hex): WeierstrassPoint<Fp>;
+  fromHex(hex: string): WeierstrassPoint<Fp>;
   toBytes(point: WeierstrassPoint<Fp>): Uint8Array;
   toHex(point: WeierstrassPoint<Fp>): string;
-  /** @deprecated use `toBytes` */
-  toRawBytes(point: WeierstrassPoint<Fp>): Uint8Array;
 };
@@ -100,2 +80,4 @@
 export type BlsPairing = {
+  lengths: CurveLengths;
+  Fr: IField<bigint>;
   Fp12: Fp12Bls;
@@ -109,42 +91,21 @@ calcPairingPrecomputes: (p: WeierstrassPoint<Fp2>) => Precompute;
   ) => Fp12;
+  randomSecretKey: (seed?: Uint8Array) => Uint8Array;
 };
-// TODO: replace CurveType with this? It doesn't contain r however and has postPrecompute
+
 export type BlsPairingParams = {
-  // NOTE: MSB is always ignored and used as marker for length,
-  // otherwise leading zeros will be lost.
-  // Can be different from 'X' (seed) param!
+  // MSB is always ignored and used as marker for length, otherwise leading zeros will be lost.
+  // Can be different from `X` (seed) param.
   ateLoopSize: bigint;
   xNegative: boolean;
   twistType: TwistType; // BLS12-381: Multiplicative, BN254: Divisive
-  // This is super ugly hack for untwist point in BN254 after miller loop
-  postPrecompute?: PostPrecomputeFn;
+  randomBytes?: (len?: number) => Uint8Array;
+  postPrecompute?: PostPrecomputeFn; // Ugly hack to untwist point in BN254 after miller loop
 };
-export type CurveType = {
-  G1: CurvePointsType<Fp> & {
-    ShortSignature: SignatureCoder<Fp>;
-    mapToCurve: MapToCurve<Fp>;
-    htfDefaults: H2COpts;
-  };
-  G2: CurvePointsType<Fp2> & {
-    Signature: SignatureCoder<Fp2>;
-    mapToCurve: MapToCurve<Fp2>;
-    htfDefaults: H2COpts;
-  };
-  fields: BlsFields;
-  params: {
-    // NOTE: MSB is always ignored and used as marker for length,
-    // otherwise leading zeros will be lost.
-    // Can be different from 'X' (seed) param!
-    ateLoopSize: BlsPairingParams['ateLoopSize'];
-    xNegative: BlsPairingParams['xNegative'];
-    r: bigint; // TODO: remove
-    twistType: BlsPairingParams['twistType']; // BLS12-381: Multiplicative, BN254: Divisive
-  };
-  htfDefaults: H2COpts;
-  hash: CHash; // Because we need outputLen for DRBG
-  randomBytes?: (bytesLength?: number) => Uint8Array;
-  // This is super ugly hack for untwist point in BN254 after miller loop
-  postPrecompute?: PostPrecomputeFn;
+export type BlsHasherParams = {
+  mapToG1?: MapToCurve<Fp>;
+  mapToG2?: MapToCurve<Fp2>;
+  hasherOpts: H2COpts;
+  hasherOptsG1: H2COpts;
+  hasherOptsG2: H2COpts;
 };
-
 type PrecomputeSingle = [Fp2, Fp2, Fp2][];
@@ -159,9 +120,8 @@ type Precompute = PrecomputeSingle[];
 export interface BLSCurvePair {
-  longSignatures: BLSSigs<bigint, Fp2>;
-  shortSignatures: BLSSigs<Fp2, bigint>;
+  lengths: CurveLengths;
   millerLoopBatch: BlsPairing['millerLoopBatch'];
   pairing: BlsPairing['pairing'];
   pairingBatch: BlsPairing['pairingBatch'];
-  G1: { Point: WeierstrassPointCons<bigint> } & H2CHasher<Fp>;
-  G2: { Point: WeierstrassPointCons<Fp2> } & H2CHasher<Fp2>;
+  G1: { Point: WeierstrassPointCons<Fp> };
+  G2: { Point: WeierstrassPointCons<Fp2> };
   fields: {
@@ -175,88 +135,30 @@ Fp: IField<Fp>;
   utils: {
-    randomSecretKey: () => Uint8Array;
-    /** @deprecated use randomSecretKey */
-    randomPrivateKey: () => Uint8Array;
+    randomSecretKey: (seed?: Uint8Array) => Uint8Array;
     calcPairingPrecomputes: BlsPairing['calcPairingPrecomputes'];
   };
-}
-
-export type CurveFn = BLSCurvePair & {
-  /** @deprecated use `longSignatures.getPublicKey` */
-  getPublicKey: (secretKey: PrivKey) => Uint8Array;
-  /** @deprecated use `shortSignatures.getPublicKey` */
-  getPublicKeyForShortSignatures: (secretKey: PrivKey) => Uint8Array;
-  /** @deprecated use `longSignatures.sign` */
-  sign: {
-    (message: Hex, secretKey: PrivKey, htfOpts?: htfBasicOpts): Uint8Array;
-    (
-      message: WeierstrassPoint<Fp2>,
-      secretKey: PrivKey,
-      htfOpts?: htfBasicOpts
-    ): WeierstrassPoint<Fp2>;
-  };
-  /** @deprecated use `shortSignatures.sign` */
-  signShortSignature: {
-    (message: Hex, secretKey: PrivKey, htfOpts?: htfBasicOpts): Uint8Array;
-    (
-      message: WeierstrassPoint<Fp>,
-      secretKey: PrivKey,
-      htfOpts?: htfBasicOpts
-    ): WeierstrassPoint<Fp>;
-  };
-  /** @deprecated use `longSignatures.verify` */
-  verify: (
-    signature: Hex | WeierstrassPoint<Fp2>,
-    message: Hex | WeierstrassPoint<Fp2>,
-    publicKey: Hex | WeierstrassPoint<Fp>,
-    htfOpts?: htfBasicOpts
-  ) => boolean;
-  /** @deprecated use `shortSignatures.verify` */
-  verifyShortSignature: (
-    signature: Hex | WeierstrassPoint<Fp>,
-    message: Hex | WeierstrassPoint<Fp>,
-    publicKey: Hex | WeierstrassPoint<Fp2>,
-    htfOpts?: htfBasicOpts
-  ) => boolean;
-  verifyBatch: (
-    signature: Hex | WeierstrassPoint<Fp2>,
-    messages: (Hex | WeierstrassPoint<Fp2>)[],
-    publicKeys: (Hex | WeierstrassPoint<Fp>)[],
-    htfOpts?: htfBasicOpts
-  ) => boolean;
-  /** @deprecated use `longSignatures.aggregatePublicKeys` */
-  aggregatePublicKeys: {
-    (publicKeys: Hex[]): Uint8Array;
-    (publicKeys: WeierstrassPoint<Fp>[]): WeierstrassPoint<Fp>;
-  };
-  /** @deprecated use `longSignatures.aggregateSignatures` */
-  aggregateSignatures: {
-    (signatures: Hex[]): Uint8Array;
-    (signatures: WeierstrassPoint<Fp2>[]): WeierstrassPoint<Fp2>;
-  };
-  /** @deprecated use `shortSignatures.aggregateSignatures` */
-  aggregateShortSignatures: {
-    (signatures: Hex[]): Uint8Array;
-    (signatures: WeierstrassPoint<Fp>[]): WeierstrassPoint<Fp>;
-  };
-  G1: CurvePointsRes<Fp> & H2CHasher<Fp>;
-  G2: CurvePointsRes<Fp2> & H2CHasher<Fp2>;
-  /** @deprecated use `longSignatures.Signature` */
-  Signature: SignatureCoder<Fp2>;
-  /** @deprecated use `shortSignatures.Signature` */
-  ShortSignature: ShortSignatureCoder<Fp>;
   params: {
     ateLoopSize: bigint;
-    r: bigint;
     twistType: TwistType;
-    /** @deprecated */
-    G1b: bigint;
-    /** @deprecated */
-    G2b: Fp2;
   };
-};
+}
 
-type BLSInput = Hex | Uint8Array;
+export interface BlsCurvePairWithHashers extends BLSCurvePair {
+  G1: H2CHasher<WeierstrassPointCons<Fp>>;
+  G2: H2CHasher<WeierstrassPointCons<Fp2>>;
+}
+
+export interface BlsCurvePairWithSignatures extends BlsCurvePairWithHashers {
+  longSignatures: BLSSigs<bigint, Fp2>;
+  shortSignatures: BLSSigs<Fp2, bigint>;
+}
+
+type BLSInput = Uint8Array;
 export interface BLSSigs<P, S> {
-  getPublicKey(secretKey: PrivKey): WeierstrassPoint<P>;
-  sign(hashedMessage: WeierstrassPoint<S>, secretKey: PrivKey): WeierstrassPoint<S>;
+  lengths: CurveLengths;
+  keygen(seed?: Uint8Array): {
+    secretKey: Uint8Array;
+    publicKey: WeierstrassPoint<P>;
+  };
+  getPublicKey(secretKey: Uint8Array): WeierstrassPoint<P>;
+  sign(hashedMessage: WeierstrassPoint<S>, secretKey: Uint8Array): WeierstrassPoint<S>;
   verify(
@@ -269,4 +171,3 @@ signature: WeierstrassPoint<S> | BLSInput,
     signature: WeierstrassPoint<S> | BLSInput,
-    messages: WeierstrassPoint<S>[],
-    publicKeys: (WeierstrassPoint<P> | BLSInput)[]
+    items: { message: WeierstrassPoint<S>; publicKey: WeierstrassPoint<P> | BLSInput }[]
   ) => boolean;
@@ -276,3 +177,3 @@ aggregatePublicKeys(publicKeys: (WeierstrassPoint<P> | BLSInput)[]): WeierstrassPoint<P>;
   hash(message: Uint8Array, DST?: string | Uint8Array, hashOpts?: H2CHashOpts): WeierstrassPoint<S>;
-  Signature: SignatureCoder<S>;
+  Signature: LongSignatureCoder<S>;
 }
@@ -305,3 +206,3 @@
 ): BlsPairing {
-  const { Fp2, Fp12 } = fields;
+  const { Fr, Fp2, Fp12 } = fields;
   const { twistType, ateLoopSize, xNegative, postPrecompute } = params;
@@ -433,3 +334,13 @@ type G1 = typeof G1.BASE;
   }
+  const lengths = {
+    seed: getMinHashLength(Fr.ORDER),
+  };
+  const rand = params.randomBytes || randomBytes;
+  const randomSecretKey = (seed = rand(lengths.seed)): Uint8Array => {
+    abytes(seed, lengths.seed, 'seed');
+    return mapHashToField(seed, Fr.ORDER);
+  };
   return {
+    lengths,
+    Fr,
     Fp12, // NOTE: we re-export Fp12 here because pairing results are Fp12!
@@ -440,2 +351,3 @@ millerLoopBatch,
     calcPairingPrecomputes,
+    randomSecretKey,
   };
@@ -446,18 +358,27 @@ }
   blsPairing: BlsPairing,
-  PubCurve: CurvePointsRes<P> & H2CHasher<P>,
-  SigCurve: CurvePointsRes<S> & H2CHasher<S>,
-  SignatureCoder: SignatureCoder<S>,
-  isSigG1: boolean
+  PubPoint: WeierstrassPointCons<P>,
+  SigPoint: WeierstrassPointCons<S>,
+  isSigG1: boolean,
+  hashToSigCurve: H2CMethod<WeierstrassPoint<S>>,
+  SignatureCoder?: LongSignatureCoder<S>
 ): BLSSigs<P, S> {
-  const { Fp12, pairingBatch } = blsPairing;
+  const { Fr, Fp12, pairingBatch, randomSecretKey, lengths } = blsPairing;
+  if (!SignatureCoder) {
+    SignatureCoder = {
+      fromBytes: notImplemented,
+      fromHex: notImplemented,
+      toBytes: notImplemented,
+      toHex: notImplemented,
+    };
+  }
   type PubPoint = WeierstrassPoint<P>;
   type SigPoint = WeierstrassPoint<S>;
   function normPub(point: PubPoint | BLSInput): PubPoint {
-    return point instanceof PubCurve.Point ? (point as PubPoint) : PubCurve.Point.fromHex(point);
+    return point instanceof PubPoint ? (point as PubPoint) : PubPoint.fromBytes(point);
   }
   function normSig(point: SigPoint | BLSInput): SigPoint {
-    return point instanceof SigCurve.Point ? (point as SigPoint) : SigCurve.Point.fromHex(point);
+    return point instanceof SigPoint ? (point as SigPoint) : SigPoint.fromBytes(point);
   }
   function amsg(m: unknown): SigPoint {
-    if (!(m instanceof SigCurve.Point))
+    if (!(m instanceof SigPoint))
       throw new Error(`expected valid message hashed to ${!isSigG1 ? 'G2' : 'G1'} curve`);
@@ -467,4 +388,4 @@ return m as SigPoint;
 
-  type G1 = CurvePointsRes<Fp>['Point']['BASE'];
-  type G2 = CurvePointsRes<Fp2>['Point']['BASE'];
+  type G1 = WeierstrassPoint<Fp>;
+  type G2 = WeierstrassPoint<Fp2>;
   type PairingInput = { g1: G1; g2: G2 };
@@ -475,16 +396,24 @@ // What matters here is what point pairing API accepts as G1 or G2, not actual size or names
     : (a: PubPoint, b: SigPoint) => ({ g1: b, g2: a }) as PairingInput;
-  return {
+  return Object.freeze({
+    lengths: { ...lengths, secretKey: Fr.BYTES },
+    keygen(seed?: Uint8Array) {
+      const secretKey = randomSecretKey(seed);
+      const publicKey = this.getPublicKey(secretKey);
+      return { secretKey, publicKey };
+    },
     // P = pk x G
-    getPublicKey(secretKey: PrivKey): PubPoint {
-      // TODO: replace with
-      // const sec = PubCurve.Point.Fn.fromBytes(secretKey);
-      const sec = _normFnElement(PubCurve.Point.Fn, secretKey);
-      return PubCurve.Point.BASE.multiply(sec);
+    getPublicKey(secretKey: Uint8Array): PubPoint {
+      let sec;
+      try {
+        sec = PubPoint.Fn.fromBytes(secretKey);
+      } catch (error) {
+        // @ts-ignore
+        throw new Error('invalid private key: ' + typeof secretKey, { cause: error });
+      }
+      return PubPoint.BASE.multiply(sec);
     },
     // S = pk x H(m)
-    sign(message: SigPoint, secretKey: PrivKey, unusedArg?: any): SigPoint {
+    sign(message: SigPoint, secretKey: Uint8Array, unusedArg?: any): SigPoint {
       if (unusedArg != null) throw new Error('sign() expects 2 arguments');
-      // TODO: replace with
-      // PubCurve.Point.Fn.fromBytes(secretKey)
-      const sec = _normFnElement(PubCurve.Point.Fn, secretKey);
+      const sec = PubPoint.Fn.fromBytes(secretKey);
       amsg(message).assertValidity();
@@ -506,3 +435,3 @@ return message.multiply(sec);
       const P = publicKey.negate();
-      const G = PubCurve.Point.BASE;
+      const G = PubPoint.BASE;
       const Hm = amsg(message);
@@ -522,11 +451,8 @@ const S = signature;
       signature: SigPoint | BLSInput,
-      messages: SigPoint[],
-      publicKeys: (PubPoint | BLSInput)[]
+      items: { message: SigPoint; publicKey: PubPoint | BLSInput }[]
     ): boolean {
-      aNonEmpty(messages);
-      if (publicKeys.length !== messages.length)
-        throw new Error('amount of public keys and messages should be equal');
+      aNonEmpty(items);
       const sig = normSig(signature);
-      const nMessages = messages;
-      const nPublicKeys = publicKeys.map(normPub);
+      const nMessages = items.map((i) => i.message);
+      const nPublicKeys = items.map((i) => normPub(i.publicKey));
       // NOTE: this works only for exact same object
@@ -545,3 +471,3 @@ const messagePubKeyMap = new Map<SigPoint, PubPoint[]>();
       const paired = [];
-      const G = PubCurve.Point.BASE;
+      const G = PubPoint.BASE;
       try {
@@ -563,3 +489,3 @@ for (const [msg, keys] of messagePubKeyMap) {
       publicKeys = publicKeys.map((pub) => normPub(pub));
-      const agg = (publicKeys as PubPoint[]).reduce((sum, p) => sum.add(p), PubCurve.Point.ZERO);
+      const agg = (publicKeys as PubPoint[]).reduce((sum, p) => sum.add(p), PubPoint.ZERO);
       agg.assertValidity();
@@ -574,3 +500,3 @@ return agg;
       signatures = signatures.map((sig) => normSig(sig));
-      const agg = (signatures as SigPoint[]).reduce((sum, s) => sum.add(s), SigCurve.Point.ZERO);
+      const agg = (signatures as SigPoint[]).reduce((sum, s) => sum.add(s), SigPoint.ZERO);
       agg.assertValidity();
@@ -583,186 +509,113 @@ return agg;
       const opts = DST ? { DST } : undefined;
-      return SigCurve.hashToCurve(messageBytes, opts) as SigPoint;
+      return hashToSigCurve(messageBytes, opts);
     },
     Signature: SignatureCoder,
-  };
+  }) /*satisfies Signer */;
 }
 
-// G1_Point: ProjConstructor<bigint>, G2_Point: ProjConstructor<Fp2>,
-export function bls(CURVE: CurveType): CurveFn {
+type BlsSignatureCoders = Partial<{
+  LongSignature: LongSignatureCoder<Fp2>;
+  ShortSignature: ShortSignatureCoder<Fp>;
+}>;
+
+// NOTE: separate function instead of function override, so we don't depend on hasher in bn254.
+export function blsBasic(
+  fields: BlsFields,
+  G1_Point: WeierstrassPointCons<Fp>,
+  G2_Point: WeierstrassPointCons<Fp2>,
+  params: BlsPairingParams
+): BLSCurvePair {
   // Fields are specific for curve, so for now we'll need to pass them with opts
-  const { Fp, Fr, Fp2, Fp6, Fp12 } = CURVE.fields;
+  const { Fp, Fr, Fp2, Fp6, Fp12 } = fields;
   // Point on G1 curve: (x, y)
-  const G1_ = weierstrassPoints(CURVE.G1);
-  const G1 = Object.assign(
-    G1_,
-    createHasher(G1_.Point, CURVE.G1.mapToCurve, {
-      ...CURVE.htfDefaults,
-      ...CURVE.G1.htfDefaults,
-    })
-  );
+  // const G1_Point = weierstrass(CURVE.G1, { Fn: Fr });
+  const G1 = { Point: G1_Point };
   // Point on G2 curve (complex numbers): (x₁, x₂+i), (y₁, y₂+i)
-  const G2_ = weierstrassPoints(CURVE.G2);
-  const G2 = Object.assign(
-    G2_,
-    createHasher(G2_.Point as H2CPointConstructor<Fp2>, CURVE.G2.mapToCurve, {
-      ...CURVE.htfDefaults,
-      ...CURVE.G2.htfDefaults,
-    })
-  );
-  type G1 = typeof G1.Point.BASE;
-  type G2 = typeof G2.Point.BASE;
+  const G2 = { Point: G2_Point };
 
-  const pairingRes = createBlsPairing(CURVE.fields, G1.Point, G2.Point, {
-    ...CURVE.params,
-    postPrecompute: CURVE.postPrecompute,
-  });
-
-  const { millerLoopBatch, pairing, pairingBatch, calcPairingPrecomputes } = pairingRes;
-  const longSignatures = createBlsSig(pairingRes, G1, G2, CURVE.G2.Signature, false);
-  const shortSignatures = createBlsSig(pairingRes, G2, G1, CURVE.G1.ShortSignature, true);
-
-  const rand = CURVE.randomBytes || randomBytes;
-  const randomSecretKey = (): Uint8Array => {
-    const length = getMinHashLength(Fr.ORDER);
-    return mapHashToField(rand(length), Fr.ORDER);
-  };
-  const utils = {
+  const pairingRes = createBlsPairing(fields, G1_Point, G2_Point, params);
+  const {
+    millerLoopBatch,
+    pairing,
+    pairingBatch,
+    calcPairingPrecomputes,
     randomSecretKey,
-    randomPrivateKey: randomSecretKey,
-    calcPairingPrecomputes,
-  };
+    lengths,
+  } = pairingRes;
 
-  // LEGACY code
-  type G1Hex = Hex | G1;
-  type G2Hex = Hex | G2;
-
-  const { ShortSignature } = CURVE.G1;
-  const { Signature } = CURVE.G2;
-
-  function normP1Hash(point: G1Hex, htfOpts?: htfBasicOpts): G1 {
-    return point instanceof G1.Point
-      ? point
-      : shortSignatures.hash(ensureBytes('point', point), htfOpts?.DST);
-  }
-  function normP2Hash(point: G2Hex, htfOpts?: htfBasicOpts): G2 {
-    return point instanceof G2.Point
-      ? point
-      : longSignatures.hash(ensureBytes('point', point), htfOpts?.DST);
-  }
-
-  function getPublicKey(privateKey: PrivKey): Uint8Array {
-    return longSignatures.getPublicKey(privateKey).toBytes(true);
-  }
-  function getPublicKeyForShortSignatures(privateKey: PrivKey): Uint8Array {
-    return shortSignatures.getPublicKey(privateKey).toBytes(true);
-  }
-  function sign(message: Hex, privateKey: PrivKey, htfOpts?: htfBasicOpts): Uint8Array;
-  function sign(message: G2, privateKey: PrivKey, htfOpts?: htfBasicOpts): G2;
-  function sign(message: G2Hex, privateKey: PrivKey, htfOpts?: htfBasicOpts): Uint8Array | G2 {
-    const Hm = normP2Hash(message, htfOpts);
-    const S = longSignatures.sign(Hm, privateKey);
-    return message instanceof G2.Point ? S : Signature.toBytes(S);
-  }
-  function signShortSignature(
-    message: Hex,
-    privateKey: PrivKey,
-    htfOpts?: htfBasicOpts
-  ): Uint8Array;
-  function signShortSignature(message: G1, privateKey: PrivKey, htfOpts?: htfBasicOpts): G1;
-  function signShortSignature(
-    message: G1Hex,
-    privateKey: PrivKey,
-    htfOpts?: htfBasicOpts
-  ): Uint8Array | G1 {
-    const Hm = normP1Hash(message, htfOpts);
-    const S = shortSignatures.sign(Hm, privateKey);
-    return message instanceof G1.Point ? S : ShortSignature.toBytes(S);
-  }
-  function verify(
-    signature: G2Hex,
-    message: G2Hex,
-    publicKey: G1Hex,
-    htfOpts?: htfBasicOpts
-  ): boolean {
-    const Hm = normP2Hash(message, htfOpts);
-    return longSignatures.verify(signature, Hm, publicKey);
-  }
-  function verifyShortSignature(
-    signature: G1Hex,
-    message: G1Hex,
-    publicKey: G2Hex,
-    htfOpts?: htfBasicOpts
-  ): boolean {
-    const Hm = normP1Hash(message, htfOpts);
-    return shortSignatures.verify(signature, Hm, publicKey);
-  }
-  function aggregatePublicKeys(publicKeys: Hex[]): Uint8Array;
-  function aggregatePublicKeys(publicKeys: G1[]): G1;
-  function aggregatePublicKeys(publicKeys: G1Hex[]): Uint8Array | G1 {
-    const agg = longSignatures.aggregatePublicKeys(publicKeys);
-    return publicKeys[0] instanceof G1.Point ? agg : agg.toBytes(true);
-  }
-  function aggregateSignatures(signatures: Hex[]): Uint8Array;
-  function aggregateSignatures(signatures: G2[]): G2;
-  function aggregateSignatures(signatures: G2Hex[]): Uint8Array | G2 {
-    const agg = longSignatures.aggregateSignatures(signatures);
-    return signatures[0] instanceof G2.Point ? agg : Signature.toBytes(agg);
-  }
-  function aggregateShortSignatures(signatures: Hex[]): Uint8Array;
-  function aggregateShortSignatures(signatures: G1[]): G1;
-  function aggregateShortSignatures(signatures: G1Hex[]): Uint8Array | G1 {
-    const agg = shortSignatures.aggregateSignatures(signatures);
-    return signatures[0] instanceof G1.Point ? agg : ShortSignature.toBytes(agg);
-  }
-  function verifyBatch(
-    signature: G2Hex,
-    messages: G2Hex[],
-    publicKeys: G1Hex[],
-    htfOpts?: htfBasicOpts
-  ): boolean {
-    const Hm = messages.map((m) => normP2Hash(m, htfOpts));
-    return longSignatures.verifyBatch(signature, Hm, publicKeys);
-  }
-
   G1.Point.BASE.precompute(4);
-
-  return {
-    longSignatures,
-    shortSignatures,
+  return Object.freeze({
+    lengths,
     millerLoopBatch,
     pairing,
     pairingBatch,
-    verifyBatch,
-    fields: {
-      Fr,
-      Fp,
-      Fp2,
-      Fp6,
-      Fp12,
-    },
+    G1,
+    G2,
+    fields: { Fr, Fp, Fp2, Fp6, Fp12 },
     params: {
-      ateLoopSize: CURVE.params.ateLoopSize,
-      twistType: CURVE.params.twistType,
-      // deprecated
-      r: CURVE.params.r,
-      G1b: CURVE.G1.b,
-      G2b: CURVE.G2.b,
+      ateLoopSize: params.ateLoopSize,
+      twistType: params.twistType,
     },
-    utils,
+    utils: {
+      randomSecretKey,
+      calcPairingPrecomputes,
+    },
+  });
+}
 
-    // deprecated
-    getPublicKey,
-    getPublicKeyForShortSignatures,
-    sign,
-    signShortSignature,
-    verify,
-    verifyShortSignature,
-    aggregatePublicKeys,
-    aggregateSignatures,
-    aggregateShortSignatures,
-    G1,
-    G2,
-    Signature,
-    ShortSignature,
+// We can export this too, but seems there is not much reasons for now? If user wants hasher, they can just create hasher.
+function blsHashers(
+  fields: BlsFields,
+  G1_Point: WeierstrassPointCons<Fp>,
+  G2_Point: WeierstrassPointCons<Fp2>,
+  params: BlsPairingParams,
+  hasherParams: BlsHasherParams
+): BlsCurvePairWithHashers {
+  const base = blsBasic(fields, G1_Point, G2_Point, params);
+  const G1Hasher = createHasher(G1_Point, hasherParams.mapToG1 || notImplemented, {
+    ...hasherParams.hasherOpts,
+    ...hasherParams.hasherOptsG1,
+  });
+  const G2Hasher = createHasher(G2_Point, hasherParams.mapToG2 || notImplemented, {
+    ...hasherParams.hasherOpts,
+    ...hasherParams.hasherOptsG2,
+  });
+  return Object.freeze({ ...base, G1: G1Hasher, G2: G2Hasher });
+}
+
+// G1_Point: ProjConstructor<bigint>, G2_Point: ProjConstructor<Fp2>,
+// Rename to blsSignatures?
+export function bls(
+  fields: BlsFields,
+  G1_Point: WeierstrassPointCons<Fp>,
+  G2_Point: WeierstrassPointCons<Fp2>,
+  params: BlsPairingParams,
+  hasherParams: BlsHasherParams,
+  signatureCoders: BlsSignatureCoders
+): BlsCurvePairWithSignatures {
+  const base = blsHashers(fields, G1_Point, G2_Point, params, hasherParams);
+  const pairingRes: BlsPairing = {
+    ...base,
+    Fr: base.fields.Fr,
+    Fp12: base.fields.Fp12,
+    calcPairingPrecomputes: base.utils.calcPairingPrecomputes,
+    randomSecretKey: base.utils.randomSecretKey,
   };
+  const longSignatures = createBlsSig(
+    pairingRes,
+    G1_Point,
+    G2_Point,
+    false,
+    base.G2.hashToCurve,
+    signatureCoders?.LongSignature
+  );
+  const shortSignatures = createBlsSig(
+    pairingRes,
+    G2_Point,
+    G1_Point,
+    true,
+    base.G1.hashToCurve,
+    signatureCoders?.ShortSignature
+  );
+  return Object.freeze({ ...base, longSignatures, shortSignatures });
 }

src/abstract/curve.ts

@@ -7,4 +7,4 @@ /**
 /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { bitLen, bitMask, validateObject } from '../utils.ts';
-import { Field, FpInvertBatch, nLength, validateField, type IField } from './modular.ts';
+import { bitLen, bitMask } from '../utils.ts';
+import { Field, FpInvertBatch, validateField, type IField } from './modular.ts';
 
@@ -19,14 +19,2 @@ const _0n = BigInt(0);
 
-// This was initialy do this way to re-use montgomery ladder in field (add->mul,double->sqr), but
-// that didn't happen and there is probably not much reason to have separate Group like this?
-export interface Group<T extends Group<T>> {
-  double(): T;
-  negate(): T;
-  add(other: T): T;
-  subtract(other: T): T;
-  equals(other: T): boolean;
-  multiply(scalar: bigint): T;
-  toAffine?(invertedZ?: any): AffinePoint<any>;
-}
-
 // We can't "abstract out" coordinates (X, Y, Z; and T in Edwards): argument names of constructor
@@ -41,3 +29,3 @@ // are not accessible. See Typescript gh-56093, gh-41594.
 /** Base interface for all elliptic curve Points. */
-export interface CurvePoint<F, P extends CurvePoint<F, P>> extends Group<P> {
+export interface CurvePoint<F, P extends CurvePoint<F, P>> {
   /** Affine x coordinate. Different from projective / extended X coordinate. */
@@ -83,3 +71,3 @@ x: F;
   fromBytes(bytes: Uint8Array): P;
-  fromHex(hex: Uint8Array | string): P;
+  fromHex(hex: string): P;
 }
@@ -141,12 +129,3 @@
 }
-export type GroupConstructor<T> = {
-  BASE: T;
-  ZERO: T;
-};
-/** @deprecated */
-export type ExtendedGroupConstructor<T> = GroupConstructor<T> & {
-  Fp: IField<any>;
-  Fn: IField<bigint>;
-  fromAffine(ap: AffinePoint<any>): T;
-};
+
 export type Mapper<T> = (i: T[]) => T[];
@@ -472,3 +451,2 @@
   c: PC,
-  fieldN: IField<bigint>,
   points: P[],
@@ -483,2 +461,3 @@ scalars: bigint[]
   // 0 is accepted in scalars
+  const fieldN = c.Fn;
   validateMSMPoints(points, c);
@@ -527,3 +506,2 @@ validateMSMScalars(scalars, fieldN);
   c: PC,
-  fieldN: IField<bigint>,
   points: P[],
@@ -567,2 +545,3 @@ windowSize: number
    */
+  const fieldN = c.Fn;
   validateW(windowSize, fieldN.BITS);
@@ -602,54 +581,2 @@ validateMSMPoints(points, c);
 
-// TODO: remove
-/**
- * Generic BasicCurve interface: works even for polynomial fields (BLS): P, n, h would be ok.
- * Though generator can be different (Fp2 / Fp6 for BLS).
- */
-export type BasicCurve<T> = {
-  Fp: IField<T>; // Field over which we'll do calculations (Fp)
-  n: bigint; // Curve order, total count of valid points in the field
-  nBitLength?: number; // bit length of curve order
-  nByteLength?: number; // byte length of curve order
-  h: bigint; // cofactor. we can assign default=1, but users will just ignore it w/o validation
-  hEff?: bigint; // Number to multiply to clear cofactor
-  Gx: T; // base point X coordinate
-  Gy: T; // base point Y coordinate
-  allowInfinityPoint?: boolean; // bls12-381 requires it. ZERO point is valid, but invalid pubkey
-};
-
-// TODO: remove
-/** @deprecated */
-export function validateBasic<FP, T>(
-  curve: BasicCurve<FP> & T
-): Readonly<
-  {
-    readonly nBitLength: number;
-    readonly nByteLength: number;
-  } & BasicCurve<FP> &
-    T & {
-      p: bigint;
-    }
-> {
-  validateField(curve.Fp);
-  validateObject(
-    curve,
-    {
-      n: 'bigint',
-      h: 'bigint',
-      Gx: 'field',
-      Gy: 'field',
-    },
-    {
-      nBitLength: 'isSafeInteger',
-      nByteLength: 'isSafeInteger',
-    }
-  );
-  // Set defaults
-  return Object.freeze({
-    ...nLength(curve.n, curve.nBitLength),
-    ...curve,
-    ...{ p: curve.Fp.ORDER },
-  } as const);
-}
-
 export type ValidCurveParams<T> = {
@@ -656,0 +583,0 @@ p: bigint;

src/abstract/edwards.ts

@@ -10,4 +10,4 @@ /**
   _validateObject,
-  _abool2 as abool,
-  _abytes2 as abytes,
+  abool,
+  abytes,
   aInRange,
@@ -18,9 +18,9 @@ bytesToHex,
   copyBytes,
-  ensureBytes,
+  hexToBytes,
   isBytes,
   memoized,
   notImplemented,
-  randomBytes as randomBytesWeb,
+  randomBytes as wcRandomBytes,
   type FHash,
-  type Hex,
+  type Signer,
 } from '../utils.ts';
@@ -30,6 +30,4 @@ import {
   normalizeZ,
-  pippenger,
   wNAF,
   type AffinePoint,
-  type BasicCurve,
   type CurveLengths,
@@ -39,3 +37,3 @@ type CurvePoint,
 } from './curve.ts';
-import { Field, type IField, type NLength } from './modular.ts';
+import { type IField } from './modular.ts';
 
@@ -58,15 +56,2 @@ // Be friendly to bad ECMAScript parsers by not using bigint literals
   readonly T: bigint;
-
-  /** @deprecated use `toBytes` */
-  toRawBytes(): Uint8Array;
-  /** @deprecated use `p.precompute(windowSize)` */
-  _setWindowSize(windowSize: number): void;
-  /** @deprecated use .X */
-  readonly ex: bigint;
-  /** @deprecated use .Y */
-  readonly ey: bigint;
-  /** @deprecated use .Z */
-  readonly ez: bigint;
-  /** @deprecated use .T */
-  readonly et: bigint;
 }
@@ -78,10 +63,4 @@ /** Static methods of Extended Point with coordinates in X, Y, Z, T. */
   fromBytes(bytes: Uint8Array, zip215?: boolean): EdwardsPoint;
-  fromHex(hex: Hex, zip215?: boolean): EdwardsPoint;
-  /** @deprecated use `import { pippenger } from '@noble/curves/abstract/curve.js';` */
-  msm(points: EdwardsPoint[], scalars: bigint[]): EdwardsPoint;
+  fromHex(hex: string, zip215?: boolean): EdwardsPoint;
 }
-/** @deprecated use EdwardsPoint */
-export type ExtPointType = EdwardsPoint;
-/** @deprecated use EdwardsPointCons */
-export type ExtPointConstructor = EdwardsPointCons;
 
@@ -148,9 +127,13 @@ /**
   keygen: (seed?: Uint8Array) => { secretKey: Uint8Array; publicKey: Uint8Array };
-  getPublicKey: (secretKey: Hex) => Uint8Array;
-  sign: (message: Hex, secretKey: Hex, options?: { context?: Hex }) => Uint8Array;
+  getPublicKey: (secretKey: Uint8Array) => Uint8Array;
+  sign: (
+    message: Uint8Array,
+    secretKey: Uint8Array,
+    options?: { context?: Uint8Array }
+  ) => Uint8Array;
   verify: (
-    sig: Hex,
-    message: Hex,
-    publicKey: Hex,
-    options?: { context?: Hex; zip215: boolean }
+    sig: Uint8Array,
+    message: Uint8Array,
+    publicKey: Uint8Array,
+    options?: { context?: Uint8Array; zip215: boolean }
   ) => boolean;
@@ -189,3 +172,3 @@ Point: EdwardsPointCons;
     toMontgomeryPriv: (privateKey: Uint8Array) => Uint8Array;
-    getExtendedPublicKey: (key: Hex) => {
+    getExtendedPublicKey: (key: Uint8Array) => {
       head: Uint8Array;
@@ -197,7 +180,2 @@ prefix: Uint8Array;
     };
-
-    /** @deprecated use `randomSecretKey` */
-    randomPrivateKey: (seed?: Uint8Array) => Uint8Array;
-    /** @deprecated use `point.precompute()` */
-    precompute: (windowSize?: number, point?: EdwardsPoint) => EdwardsPoint;
   };
@@ -362,4 +340,5 @@ lengths: CurveLengths;
     }
-    static fromHex(bytes: Uint8Array, zip215 = false): Point {
-      return Point.fromBytes(ensureBytes('point', bytes), zip215);
+
+    static fromHex(hex: string, zip215 = false): Point {
+      return Point.fromBytes(hexToBytes(hex), zip215);
     }
@@ -517,28 +496,2 @@
     }
-
-    // TODO: remove
-    get ex(): bigint {
-      return this.X;
-    }
-    get ey(): bigint {
-      return this.Y;
-    }
-    get ez(): bigint {
-      return this.Z;
-    }
-    get et(): bigint {
-      return this.T;
-    }
-    static normalizeZ(points: Point[]): Point[] {
-      return normalizeZ(Point, points);
-    }
-    static msm(points: Point[], scalars: bigint[]): Point {
-      return pippenger(Point, Fn, points, scalars);
-    }
-    _setWindowSize(windowSize: number) {
-      this.precompute(windowSize);
-    }
-    toRawBytes(): Uint8Array {
-      return this.toBytes();
-    }
   }
@@ -578,3 +531,3 @@ const wnaf = new wNAF(Point, Fn.BITS);
 
-  static fromHex(_hex: Hex): any {
+  static fromHex(_hex: string): any {
     notImplemented();
@@ -654,7 +607,2 @@ }
   protected abstract init(ep: EdwardsPoint): T;
-
-  /** @deprecated use `toBytes` */
-  toRawBytes(): Uint8Array {
-    return this.toBytes();
-  }
 }
@@ -682,3 +630,3 @@
 
-  const randomBytes = eddsaOpts.randomBytes || randomBytesWeb;
+  const randomBytes = eddsaOpts.randomBytes || wcRandomBytes;
   const adjustScalarBytes = eddsaOpts.adjustScalarBytes || ((bytes: Uint8Array) => bytes);
@@ -699,8 +647,8 @@ const domain =
   // Get the hashed private scalar per RFC8032 5.1.5
-  function getPrivateScalar(key: Hex) {
+  function getPrivateScalar(key: Uint8Array) {
     const len = lengths.secretKey;
-    key = ensureBytes('private key', key, len);
+    abytes(key, lengths.secretKey, 'secretKey');
     // Hash private key with curve's hash function to produce uniformingly random input
     // Check byte lengths: ensure(64, h(ensure(32, key)))
-    const hashed = ensureBytes('hashed private key', cHash(key), 2 * len);
+    const hashed = abytes(cHash(key), 2 * len, 'hashedSecretKey');
     const head = adjustScalarBytes(hashed.slice(0, len)); // clear first half bits, produce FE
@@ -713,3 +661,3 @@ const prefix = hashed.slice(len, 2 * len); // second half is called key prefix (5.1.6)
   /** Convenience method that creates public key from scalar. RFC8032 5.1.5 */
-  function getExtendedPublicKey(secretKey: Hex) {
+  function getExtendedPublicKey(secretKey: Uint8Array) {
     const { head, prefix, scalar } = getPrivateScalar(secretKey);
@@ -722,3 +670,3 @@ const point = BASE.multiply(scalar); // Point on Edwards curve aka public key
   /** Calculates EdDSA pub key. RFC8032 5.1.5. */
-  function getPublicKey(secretKey: Hex): Uint8Array {
+  function getPublicKey(secretKey: Uint8Array): Uint8Array {
     return getExtendedPublicKey(secretKey).pointBytes;
@@ -728,10 +676,14 @@ }
   // int('LE', SHA512(dom2(F, C) || msgs)) mod N
-  function hashDomainToScalar(context: Hex = Uint8Array.of(), ...msgs: Uint8Array[]) {
+  function hashDomainToScalar(context: Uint8Array = Uint8Array.of(), ...msgs: Uint8Array[]) {
     const msg = concatBytes(...msgs);
-    return modN_LE(cHash(domain(msg, ensureBytes('context', context), !!prehash)));
+    return modN_LE(cHash(domain(msg, abytes(context, undefined, 'context'), !!prehash)));
   }
 
   /** Signs message with privateKey. RFC8032 5.1.6 */
-  function sign(msg: Hex, secretKey: Hex, options: { context?: Hex } = {}): Uint8Array {
-    msg = ensureBytes('message', msg);
+  function sign(
+    msg: Uint8Array,
+    secretKey: Uint8Array,
+    options: { context?: Uint8Array } = {}
+  ): Uint8Array {
+    msg = abytes(msg, undefined, 'message');
     if (prehash) msg = prehash(msg); // for ed25519ph etc.
@@ -749,3 +701,3 @@ const { prefix, scalar, pointBytes } = getExtendedPublicKey(secretKey);
   // verification rule is either zip215 or rfc8032 / nist186-5. Consult fromHex:
-  const verifyOpts: { context?: Hex; zip215?: boolean } = { zip215: true };
+  const verifyOpts: { context?: Uint8Array; zip215?: boolean } = { zip215: true };
 
@@ -756,8 +708,13 @@ /**
    */
-  function verify(sig: Hex, msg: Hex, publicKey: Hex, options = verifyOpts): boolean {
+  function verify(
+    sig: Uint8Array,
+    msg: Uint8Array,
+    publicKey: Uint8Array,
+    options = verifyOpts
+  ): boolean {
     const { context, zip215 } = options;
     const len = lengths.signature;
-    sig = ensureBytes('signature', sig, len);
-    msg = ensureBytes('message', msg);
-    publicKey = ensureBytes('publicKey', publicKey, lengths.publicKey);
+    sig = abytes(sig, len, 'signature');
+    msg = abytes(msg, undefined, 'message');
+    publicKey = abytes(publicKey, lengths.publicKey, 'publicKey');
     if (zip215 !== undefined) abool(zip215, 'zip215');
@@ -803,5 +760,7 @@ if (prehash) msg = prehash(msg); // for ed25519ph, etc
   }
+
   function isValidSecretKey(key: Uint8Array): boolean {
     return isBytes(key) && key.length === Fn.BYTES;
   }
+
   function isValidPublicKey(key: Uint8Array, zip215?: boolean): boolean {
@@ -837,3 +796,2 @@ try {
     },
-
     toMontgomeryPriv(secretKey: Uint8Array): Uint8Array {
@@ -845,9 +803,2 @@ const size = lengths.secretKey;
     },
-
-    /** @deprecated */
-    randomPrivateKey: randomSecretKey,
-    /** @deprecated */
-    precompute(windowSize = 8, point: EdwardsPoint = Point.BASE): EdwardsPoint {
-      return point.precompute(windowSize, false);
-    },
   };
@@ -863,76 +814,3 @@
     lengths,
-  });
+  }) satisfies Signer;
 }
-
-// TODO: remove everything below
-export type CurveType = BasicCurve<bigint> & {
-  a: bigint; // curve param a
-  d: bigint; // curve param d
-  /** @deprecated the property will be removed in next release */
-  hash: FHash; // Hashing
-  randomBytes?: (bytesLength?: number) => Uint8Array; // CSPRNG
-  adjustScalarBytes?: (bytes: Uint8Array) => Uint8Array; // clears bits to get valid field elemtn
-  domain?: (data: Uint8Array, ctx: Uint8Array, phflag: boolean) => Uint8Array; // Used for hashing
-  uvRatio?: UVRatio; // Ratio √(u/v)
-  prehash?: FHash; // RFC 8032 pre-hashing of messages to sign() / verify()
-  mapToCurve?: (scalar: bigint[]) => AffinePoint<bigint>; // for hash-to-curve standard
-};
-export type CurveTypeWithLength = Readonly<CurveType & Partial<NLength>>;
-export type CurveFn = {
-  /** @deprecated the property will be removed in next release */
-  CURVE: CurveType;
-  keygen: EdDSA['keygen'];
-  getPublicKey: EdDSA['getPublicKey'];
-  sign: EdDSA['sign'];
-  verify: EdDSA['verify'];
-  Point: EdwardsPointCons;
-  /** @deprecated use `Point` */
-  ExtendedPoint: EdwardsPointCons;
-  utils: EdDSA['utils'];
-  lengths: CurveLengths;
-};
-export type EdComposed = {
-  CURVE: EdwardsOpts;
-  curveOpts: EdwardsExtraOpts;
-  hash: FHash;
-  eddsaOpts: EdDSAOpts;
-};
-function _eddsa_legacy_opts_to_new(c: CurveTypeWithLength): EdComposed {
-  const CURVE: EdwardsOpts = {
-    a: c.a,
-    d: c.d,
-    p: c.Fp.ORDER,
-    n: c.n,
-    h: c.h,
-    Gx: c.Gx,
-    Gy: c.Gy,
-  };
-  const Fp = c.Fp;
-  const Fn = Field(CURVE.n, c.nBitLength, true);
-  const curveOpts: EdwardsExtraOpts = { Fp, Fn, uvRatio: c.uvRatio };
-  const eddsaOpts: EdDSAOpts = {
-    randomBytes: c.randomBytes,
-    adjustScalarBytes: c.adjustScalarBytes,
-    domain: c.domain,
-    prehash: c.prehash,
-    mapToCurve: c.mapToCurve,
-  };
-  return { CURVE, curveOpts, hash: c.hash, eddsaOpts };
-}
-function _eddsa_new_output_to_legacy(c: CurveTypeWithLength, eddsa: EdDSA): CurveFn {
-  const Point = eddsa.Point;
-  const legacy = Object.assign({}, eddsa, {
-    ExtendedPoint: Point,
-    CURVE: c,
-    nBitLength: Point.Fn.BITS,
-    nByteLength: Point.Fn.BYTES,
-  });
-  return legacy;
-}
-// TODO: remove. Use eddsa
-export function twistedEdwards(c: CurveTypeWithLength): CurveFn {
-  const { CURVE, curveOpts, hash, eddsaOpts } = _eddsa_legacy_opts_to_new(c);
-  const Point = edwards(CURVE, curveOpts);
-  const EDDSA = eddsa(Point, hash, eddsaOpts);
-  return _eddsa_new_output_to_legacy(c, EDDSA);
-}

src/abstract/hash-to-curve.ts

@@ -12,2 +12,3 @@ /**
   abytes,
+  asciiToBytes,
   bytesToNumberBE,
@@ -17,5 +18,4 @@ concatBytes,
   isHash,
-  utf8ToBytes,
 } from '../utils.ts';
-import type { AffinePoint, Group, GroupConstructor } from './curve.ts';
+import type { AffinePoint, PC_ANY, PC_F, PC_P } from './curve.ts';
 import { FpInvertBatch, mod, type IField } from './modular.ts';
@@ -45,4 +45,2 @@
 };
-// todo: remove
-export type Opts = H2COpts;
 
@@ -77,5 +75,8 @@ // Octet Stream to Integer. "spec" implementation of os2ip is 2.5x slower vs bytesToNumberBE.
 
+// User can always use utf8 if they want, by passing Uint8Array.
+// If string is passed, we treat it as ASCII: other formats are likely a mistake.
 function normDST(DST: UnicodeOrBytes): Uint8Array {
-  if (!isBytes(DST) && typeof DST !== 'string') throw new Error('DST must be Uint8Array or string');
-  return typeof DST === 'string' ? utf8ToBytes(DST) : DST;
+  if (!isBytes(DST) && typeof DST !== 'string')
+    throw new Error('DST must be Uint8Array or ascii string');
+  return typeof DST === 'string' ? asciiToBytes(DST) : DST;
 }
@@ -97,3 +98,3 @@
   // https://www.rfc-editor.org/rfc/rfc9380#section-5.3.3
-  if (DST.length > 255) DST = H(concatBytes(utf8ToBytes('H2C-OVERSIZE-DST-'), DST));
+  if (DST.length > 255) DST = H(concatBytes(asciiToBytes('H2C-OVERSIZE-DST-'), DST));
   const { outputLen: b_in_bytes, blockLen: r_in_bytes } = H;
@@ -137,3 +138,3 @@ const ell = Math.ceil(lenInBytes / b_in_bytes);
     const dkLen = Math.ceil((2 * k) / 8);
-    DST = H.create({ dkLen }).update(utf8ToBytes('H2C-OVERSIZE-DST-')).update(DST).digest();
+    DST = H.create({ dkLen }).update(asciiToBytes('H2C-OVERSIZE-DST-')).update(DST).digest();
   }
@@ -219,14 +220,2 @@ if (lenInBytes > 65535 || DST.length > 255)
 
-/** Point interface, which curves must implement to work correctly with the module. */
-export interface H2CPoint<T> extends Group<H2CPoint<T>> {
-  add(rhs: H2CPoint<T>): H2CPoint<T>;
-  toAffine(iz?: bigint): AffinePoint<T>;
-  clearCofactor(): H2CPoint<T>;
-  assertValidity(): void;
-}
-
-export interface H2CPointConstructor<T> extends GroupConstructor<H2CPoint<T>> {
-  fromAffine(ap: AffinePoint<T>): H2CPoint<T>;
-}
-
 export type MapToCurve<T> = (scalar: bigint[]) => AffinePoint<T>;
@@ -237,9 +226,7 @@
 export type htfBasicOpts = { DST: UnicodeOrBytes };
-export type H2CMethod<T> = (msg: Uint8Array, options?: htfBasicOpts) => H2CPoint<T>;
+export type H2CMethod<P> = (msg: Uint8Array, options?: htfBasicOpts) => P;
 // TODO: remove
-export type HTFMethod<T> = H2CMethod<T>;
-export type MapMethod<T> = (scalars: bigint[]) => H2CPoint<T>;
-export type H2CHasherBase<T> = {
-  hashToCurve: H2CMethod<T>;
-  hashToScalar: (msg: Uint8Array, options: htfBasicOpts) => bigint;
+export type H2CHasherBase<P> = {
+  hashToCurve: H2CMethod<P>;
+  hashToScalar: (msg: Uint8Array, options?: htfBasicOpts) => bigint;
 };
@@ -253,27 +240,26 @@ /**
  */
-export type H2CHasher<T> = H2CHasherBase<T> & {
-  encodeToCurve: H2CMethod<T>;
-  mapToCurve: MapMethod<T>;
+export type H2CHasher<PC extends PC_ANY> = H2CHasherBase<PC_P<PC>> & {
+  Point: PC;
+  encodeToCurve: H2CMethod<PC_P<PC>>;
+  mapToCurve: MapToCurve<PC_F<PC>>;
   defaults: H2COpts & { encodeDST?: UnicodeOrBytes };
 };
-// TODO: remove
-export type Hasher<T> = H2CHasher<T>;
 
-export const _DST_scalar: Uint8Array = utf8ToBytes('HashToScalar-');
+export const _DST_scalar: Uint8Array = asciiToBytes('HashToScalar-');
 
 /** Creates hash-to-curve methods from EC Point and mapToCurve function. See {@link H2CHasher}. */
-export function createHasher<T>(
-  Point: H2CPointConstructor<T>,
-  mapToCurve: MapToCurve<T>,
+export function createHasher<PC extends PC_ANY>(
+  Point: PC,
+  mapToCurve: MapToCurve<PC_F<PC>>,
   defaults: H2COpts & { encodeDST?: UnicodeOrBytes }
-): H2CHasher<T> {
+): H2CHasher<PC> {
   if (typeof mapToCurve !== 'function') throw new Error('mapToCurve() must be defined');
-  function map(num: bigint[]) {
-    return Point.fromAffine(mapToCurve(num));
+  function map(num: bigint[]): PC_P<PC> {
+    return Point.fromAffine(mapToCurve(num)) as PC_P<PC>;
   }
-  function clear(initial: H2CPoint<T>) {
+  function clear(initial: PC_P<PC>): PC_P<PC> {
     const P = initial.clearCofactor();
-    if (P.equals(Point.ZERO)) return Point.ZERO; // zero will throw in assert
+    if (P.equals(Point.ZERO)) return Point.ZERO as PC_P<PC>; // zero will throw in assert
     P.assertValidity();
-    return P;
+    return P as PC_P<PC>;
   }
@@ -283,4 +269,5 @@
     defaults,
+    Point,
 
-    hashToCurve(msg: Uint8Array, options?: htfBasicOpts): H2CPoint<T> {
+    hashToCurve(msg: Uint8Array, options?: htfBasicOpts): PC_P<PC> {
       const opts = Object.assign({}, defaults, options);
@@ -290,5 +277,5 @@ const u = hash_to_field(msg, 2, opts);
       const u1 = map(u[1]);
-      return clear(u0.add(u1));
+      return clear(u0.add(u1) as PC_P<PC>);
     },
-    encodeToCurve(msg: Uint8Array, options?: htfBasicOpts): H2CPoint<T> {
+    encodeToCurve(msg: Uint8Array, options?: htfBasicOpts): PC_P<PC> {
       const optsDst = defaults.encodeDST ? { DST: defaults.encodeDST } : {};
@@ -301,3 +288,3 @@ const opts = Object.assign({}, defaults, optsDst, options);
     /** See {@link H2CHasher} */
-    mapToCurve(scalars: bigint[]): H2CPoint<T> {
+    mapToCurve(scalars: bigint[]): PC_P<PC> {
       if (!Array.isArray(scalars)) throw new Error('expected array of bigints');
@@ -304,0 +291,0 @@ for (const i of scalars)

src/abstract/modular.ts

@@ -10,7 +10,6 @@ /**
   _validateObject,
+  abytes,
   anumber,
-  bitMask,
   bytesToNumberBE,
   bytesToNumberLE,
-  ensureBytes,
   numberToBytesBE,
@@ -21,3 +20,3 @@ numberToBytesLE,
 // prettier-ignore
-const _0n = BigInt(0), _1n = BigInt(1), _2n = /* @__PURE__ */ BigInt(2), _3n = /* @__PURE__ */ BigInt(3);
+const _0n = BigInt(0), _1n = /* @__PURE__ */ BigInt(1), _2n = /* @__PURE__ */ BigInt(2), _3n = /* @__PURE__ */ BigInt(3);
 // prettier-ignore
@@ -232,6 +231,5 @@ const _4n = /* @__PURE__ */ BigInt(4), _5n = /* @__PURE__ */ BigInt(5), _7n = /* @__PURE__ */ BigInt(7);
   ORDER: bigint;
-  isLE: boolean;
   BYTES: number;
   BITS: number;
-  MASK: bigint;
+  isLE: boolean;
   ZERO: T;
@@ -266,3 +264,2 @@ ONE: T;
   isOdd?(num: T): boolean; // Odd instead of even since we have it for Fp2
-  allowedLengths?: number[];
   // legendre?(num: T): T;
@@ -284,3 +281,2 @@ invertBatch: (lst: T[]) => T[];
     ORDER: 'bigint',
-    MASK: 'bigint',
     BYTES: 'number',
@@ -389,8 +385,143 @@ BITS: 'number',
 type FieldOpts = Partial<{
-  sqrt: SqrtFn;
   isLE: boolean;
   BITS: number;
+  sqrt: SqrtFn;
+  allowedLengths?: readonly number[]; // for P521 (adds padding for smaller sizes)
   modFromBytes: boolean; // bls12-381 requires mod(n) instead of rejecting keys >= n
-  allowedLengths?: readonly number[]; // for P521 (adds padding for smaller sizes)
 }>;
+class _Field implements IField<bigint> {
+  readonly ORDER: bigint;
+  readonly BITS: number;
+  readonly BYTES: number;
+  readonly isLE: boolean;
+  readonly ZERO = _0n;
+  readonly ONE = _1n;
+  readonly _lengths?: number[];
+  private _sqrt: ReturnType<typeof FpSqrt> | undefined; // cached sqrt
+  private readonly _mod?: boolean;
+  constructor(ORDER: bigint, opts: FieldOpts = {}) {
+    if (ORDER <= _0n) throw new Error('invalid field: expected ORDER > 0, got ' + ORDER);
+    let _nbitLength: number | undefined = undefined;
+    this.isLE = false;
+    if (opts != null && typeof opts === 'object') {
+      if (typeof opts.BITS === 'number') _nbitLength = opts.BITS;
+      if (typeof opts.sqrt === 'function') this.sqrt = opts.sqrt;
+      if (typeof opts.isLE === 'boolean') this.isLE = opts.isLE;
+      if (opts.allowedLengths) this._lengths = opts.allowedLengths?.slice();
+      if (typeof opts.modFromBytes === 'boolean') this._mod = opts.modFromBytes;
+    }
+    const { nBitLength, nByteLength } = nLength(ORDER, _nbitLength);
+    if (nByteLength > 2048) throw new Error('invalid field: expected ORDER of <= 2048 bytes');
+    this.ORDER = ORDER;
+    this.BITS = nBitLength;
+    this.BYTES = nByteLength;
+    this._sqrt = undefined;
+    Object.preventExtensions(this);
+  }
+
+  create(num: bigint) {
+    return mod(num, this.ORDER);
+  }
+  isValid(num: bigint) {
+    if (typeof num !== 'bigint')
+      throw new Error('invalid field element: expected bigint, got ' + typeof num);
+    return _0n <= num && num < this.ORDER; // 0 is valid element, but it's not invertible
+  }
+  is0(num: bigint) {
+    return num === _0n;
+  }
+  // is valid and invertible
+  isValidNot0(num: bigint) {
+    return !this.is0(num) && this.isValid(num);
+  }
+  isOdd(num: bigint) {
+    return (num & _1n) === _1n;
+  }
+  neg(num: bigint) {
+    return mod(-num, this.ORDER);
+  }
+  eql(lhs: bigint, rhs: bigint) {
+    return lhs === rhs;
+  }
+
+  sqr(num: bigint) {
+    return mod(num * num, this.ORDER);
+  }
+  add(lhs: bigint, rhs: bigint) {
+    return mod(lhs + rhs, this.ORDER);
+  }
+  sub(lhs: bigint, rhs: bigint) {
+    return mod(lhs - rhs, this.ORDER);
+  }
+  mul(lhs: bigint, rhs: bigint) {
+    return mod(lhs * rhs, this.ORDER);
+  }
+  pow(num: bigint, power: bigint): bigint {
+    return FpPow(this, num, power);
+  }
+  div(lhs: bigint, rhs: bigint) {
+    return mod(lhs * invert(rhs, this.ORDER), this.ORDER);
+  }
+
+  // Same as above, but doesn't normalize
+  sqrN(num: bigint) {
+    return num * num;
+  }
+  addN(lhs: bigint, rhs: bigint) {
+    return lhs + rhs;
+  }
+  subN(lhs: bigint, rhs: bigint) {
+    return lhs - rhs;
+  }
+  mulN(lhs: bigint, rhs: bigint) {
+    return lhs * rhs;
+  }
+
+  inv(num: bigint) {
+    return invert(num, this.ORDER);
+  }
+  sqrt(num: bigint): bigint {
+    // Caching _sqrt speeds up sqrt9mod16 by 5x and tonneli-shanks by 10%
+    if (!this._sqrt) this._sqrt = FpSqrt(this.ORDER);
+    return this._sqrt(this, num);
+  }
+  toBytes(num: bigint) {
+    return this.isLE ? numberToBytesLE(num, this.BYTES) : numberToBytesBE(num, this.BYTES);
+  }
+  fromBytes(bytes: Uint8Array, skipValidation = false) {
+    abytes(bytes);
+    const { _lengths: allowedLengths, BYTES, isLE, ORDER, _mod: modFromBytes } = this;
+    if (allowedLengths) {
+      if (!allowedLengths.includes(bytes.length) || bytes.length > BYTES) {
+        throw new Error(
+          'Field.fromBytes: expected ' + allowedLengths + ' bytes, got ' + bytes.length
+        );
+      }
+      const padded = new Uint8Array(BYTES);
+      // isLE add 0 to right, !isLE to the left.
+      padded.set(bytes, isLE ? 0 : padded.length - bytes.length);
+      bytes = padded;
+    }
+    if (bytes.length !== BYTES)
+      throw new Error('Field.fromBytes: expected ' + BYTES + ' bytes, got ' + bytes.length);
+    let scalar = isLE ? bytesToNumberLE(bytes) : bytesToNumberBE(bytes);
+    if (modFromBytes) scalar = mod(scalar, ORDER);
+    if (!skipValidation)
+      if (!this.isValid(scalar))
+        throw new Error('invalid field element: outside of range 0..ORDER');
+    // NOTE: we don't validate scalar here, please use isValid. This done such way because some
+    // protocol may allow non-reduced scalar that reduced later or changed some other way.
+    return scalar;
+  }
+  // TODO: we don't need it here, move out to separate fn
+  invertBatch(lst: bigint[]): bigint[] {
+    return FpInvertBatch(this, lst);
+  }
+  // We can't move this out because Fp6, Fp12 implement it
+  // and it's unclear what to return in there.
+  cmov(a: bigint, b: bigint, condition: boolean) {
+    return condition ? b : a;
+  }
+}
+
 /**
@@ -415,100 +546,4 @@ * Creates a finite field. Major performance optimizations:
  */
-export function Field(
-  ORDER: bigint,
-  bitLenOrOpts?: number | FieldOpts, // TODO: use opts only in v2?
-  isLE = false,
-  opts: { sqrt?: SqrtFn } = {}
-): Readonly<FpField> {
-  if (ORDER <= _0n) throw new Error('invalid field: expected ORDER > 0, got ' + ORDER);
-  let _nbitLength: number | undefined = undefined;
-  let _sqrt: SqrtFn | undefined = undefined;
-  let modFromBytes: boolean = false;
-  let allowedLengths: undefined | readonly number[] = undefined;
-  if (typeof bitLenOrOpts === 'object' && bitLenOrOpts != null) {
-    if (opts.sqrt || isLE) throw new Error('cannot specify opts in two arguments');
-    const _opts = bitLenOrOpts;
-    if (_opts.BITS) _nbitLength = _opts.BITS;
-    if (_opts.sqrt) _sqrt = _opts.sqrt;
-    if (typeof _opts.isLE === 'boolean') isLE = _opts.isLE;
-    if (typeof _opts.modFromBytes === 'boolean') modFromBytes = _opts.modFromBytes;
-    allowedLengths = _opts.allowedLengths;
-  } else {
-    if (typeof bitLenOrOpts === 'number') _nbitLength = bitLenOrOpts;
-    if (opts.sqrt) _sqrt = opts.sqrt;
-  }
-  const { nBitLength: BITS, nByteLength: BYTES } = nLength(ORDER, _nbitLength);
-  if (BYTES > 2048) throw new Error('invalid field: expected ORDER of <= 2048 bytes');
-  let sqrtP: ReturnType<typeof FpSqrt>; // cached sqrtP
-  const f: Readonly<FpField> = Object.freeze({
-    ORDER,
-    isLE,
-    BITS,
-    BYTES,
-    MASK: bitMask(BITS),
-    ZERO: _0n,
-    ONE: _1n,
-    allowedLengths: allowedLengths,
-    create: (num) => mod(num, ORDER),
-    isValid: (num) => {
-      if (typeof num !== 'bigint')
-        throw new Error('invalid field element: expected bigint, got ' + typeof num);
-      return _0n <= num && num < ORDER; // 0 is valid element, but it's not invertible
-    },
-    is0: (num) => num === _0n,
-    // is valid and invertible
-    isValidNot0: (num: bigint) => !f.is0(num) && f.isValid(num),
-    isOdd: (num) => (num & _1n) === _1n,
-    neg: (num) => mod(-num, ORDER),
-    eql: (lhs, rhs) => lhs === rhs,
-
-    sqr: (num) => mod(num * num, ORDER),
-    add: (lhs, rhs) => mod(lhs + rhs, ORDER),
-    sub: (lhs, rhs) => mod(lhs - rhs, ORDER),
-    mul: (lhs, rhs) => mod(lhs * rhs, ORDER),
-    pow: (num, power) => FpPow(f, num, power),
-    div: (lhs, rhs) => mod(lhs * invert(rhs, ORDER), ORDER),
-
-    // Same as above, but doesn't normalize
-    sqrN: (num) => num * num,
-    addN: (lhs, rhs) => lhs + rhs,
-    subN: (lhs, rhs) => lhs - rhs,
-    mulN: (lhs, rhs) => lhs * rhs,
-
-    inv: (num) => invert(num, ORDER),
-    sqrt:
-      _sqrt ||
-      ((n) => {
-        if (!sqrtP) sqrtP = FpSqrt(ORDER);
-        return sqrtP(f, n);
-      }),
-    toBytes: (num) => (isLE ? numberToBytesLE(num, BYTES) : numberToBytesBE(num, BYTES)),
-    fromBytes: (bytes, skipValidation = true) => {
-      if (allowedLengths) {
-        if (!allowedLengths.includes(bytes.length) || bytes.length > BYTES) {
-          throw new Error(
-            'Field.fromBytes: expected ' + allowedLengths + ' bytes, got ' + bytes.length
-          );
-        }
-        const padded = new Uint8Array(BYTES);
-        // isLE add 0 to right, !isLE to the left.
-        padded.set(bytes, isLE ? 0 : padded.length - bytes.length);
-        bytes = padded;
-      }
-      if (bytes.length !== BYTES)
-        throw new Error('Field.fromBytes: expected ' + BYTES + ' bytes, got ' + bytes.length);
-      let scalar = isLE ? bytesToNumberLE(bytes) : bytesToNumberBE(bytes);
-      if (modFromBytes) scalar = mod(scalar, ORDER);
-      if (!skipValidation)
-        if (!f.isValid(scalar)) throw new Error('invalid field element: outside of range 0..ORDER');
-      // NOTE: we don't validate scalar here, please use isValid. This done such way because some
-      // protocol may allow non-reduced scalar that reduced later or changed some other way.
-      return scalar;
-    },
-    // TODO: we don't need it here, move out to separate fn
-    invertBatch: (lst) => FpInvertBatch(f, lst),
-    // We can't move this out because Fp6, Fp12 implement it
-    // and it's unclear what to return in there.
-    cmov: (a, b, c) => (c ? b : a),
-  } as FpField);
-  return Object.freeze(f);
+export function Field(ORDER: bigint, opts: FieldOpts = {}): Readonly<FpField> {
+  return new _Field(ORDER, opts);
 }
@@ -543,24 +578,2 @@
 /**
- * "Constant-time" private key generation utility.
- * Same as mapKeyToField, but accepts less bytes (40 instead of 48 for 32-byte field).
- * Which makes it slightly more biased, less secure.
- * @deprecated use `mapKeyToField` instead
- */
-export function hashToPrivateScalar(
-  hash: string | Uint8Array,
-  groupOrder: bigint,
-  isLE = false
-): bigint {
-  hash = ensureBytes('privateHash', hash);
-  const hashLen = hash.length;
-  const minLen = nLength(groupOrder).nByteLength + 8;
-  if (minLen < 24 || hashLen < minLen || hashLen > 1024)
-    throw new Error(
-      'hashToPrivateScalar: expected ' + minLen + '-1024 bytes of input, got ' + hashLen
-    );
-  const num = isLE ? bytesToNumberLE(hash) : bytesToNumberBE(hash);
-  return mod(num, groupOrder - _1n) + _1n;
-}
-
-/**
  * Returns total number of bytes consumed by the field element.
@@ -598,3 +611,3 @@ * For example, 32 bytes for usual 256-bit weierstrass curve.
  * @param hash hash output from SHA3 or a similar function
- * @param groupOrder size of subgroup - (e.g. secp256k1.CURVE.n)
+ * @param groupOrder size of subgroup - (e.g. secp256k1.Point.Fn.ORDER)
  * @param isLE interpret hash bytes as LE num
@@ -604,2 +617,3 @@ * @returns valid private scalar
 export function mapHashToField(key: Uint8Array, fieldOrder: bigint, isLE = false): Uint8Array {
+  abytes(key);
   const len = key.length;
@@ -606,0 +620,0 @@ const fieldLen = getFieldBytesLength(fieldOrder);

src/abstract/montgomery.ts

@@ -13,5 +13,6 @@ /**
   bytesToNumberLE,
-  ensureBytes,
+  copyBytes,
   numberToBytesLE,
   randomBytes,
+  type CryptoKeys,
 } from '../utils.ts';
@@ -24,3 +25,2 @@ import type { CurveLengths } from './curve.ts';
 const _2n = BigInt(2);
-type Hex = string | Uint8Array;
 
@@ -36,10 +36,8 @@ export type CurveType = {
 export type MontgomeryECDH = {
-  scalarMult: (scalar: Hex, u: Hex) => Uint8Array;
-  scalarMultBase: (scalar: Hex) => Uint8Array;
-  getSharedSecret: (secretKeyA: Hex, publicKeyB: Hex) => Uint8Array;
-  getPublicKey: (secretKey: Hex) => Uint8Array;
+  scalarMult: (scalar: Uint8Array, u: Uint8Array) => Uint8Array;
+  scalarMultBase: (scalar: Uint8Array) => Uint8Array;
+  getSharedSecret: (secretKeyA: Uint8Array, publicKeyB: Uint8Array) => Uint8Array;
+  getPublicKey: (secretKey: Uint8Array) => Uint8Array;
   utils: {
     randomSecretKey: () => Uint8Array;
-    /** @deprecated use `randomSecretKey` */
-    randomPrivateKey: () => Uint8Array;
   };
@@ -50,3 +48,2 @@ GuBytes: Uint8Array;
 };
-export type CurveFn = MontgomeryECDH;
 
@@ -89,4 +86,4 @@ function validateOpts(curve: CurveType) {
   }
-  function decodeU(u: Hex): bigint {
-    const _u = ensureBytes('u coordinate', u, fieldLen);
+  function decodeU(u: Uint8Array): bigint {
+    const _u = copyBytes(abytes(u, fieldLen, 'uCoordinate'));
     // RFC: When receiving such an array, implementations of X25519
@@ -101,6 +98,6 @@ // (but not X448) MUST mask the most significant bit in the final byte.
   }
-  function decodeScalar(scalar: Hex): bigint {
-    return bytesToNumberLE(adjustScalarBytes(ensureBytes('scalar', scalar, fieldLen)));
+  function decodeScalar(scalar: Uint8Array): bigint {
+    return bytesToNumberLE(adjustScalarBytes(copyBytes(abytes(scalar, fieldLen, 'scalar'))));
   }
-  function scalarMult(scalar: Hex, u: Hex): Uint8Array {
+  function scalarMult(scalar: Uint8Array, u: Uint8Array): Uint8Array {
     const pu = montgomeryLadder(decodeU(u), decodeScalar(scalar));
@@ -114,3 +111,3 @@ // Some public keys are useless, of low-order. Curve author doesn't think
   // Computes public key from private. By doing scalar multiplication of base point.
-  function scalarMultBase(scalar: Hex): Uint8Array {
+  function scalarMultBase(scalar: Uint8Array): Uint8Array {
     return scalarMult(scalar, GuBytes);
@@ -180,3 +177,3 @@ }
   const randomSecretKey = (seed = randomBytes_(fieldLen)) => {
-    abytes(seed, lengths.seed);
+    abytes(seed, lengths.seed, 'seed');
     return seed;
@@ -192,6 +189,8 @@ };
   };
-  return {
+
+  return Object.freeze({
     keygen,
-    getSharedSecret: (secretKey: Hex, publicKey: Hex) => scalarMult(secretKey, publicKey),
-    getPublicKey: (secretKey: Hex): Uint8Array => scalarMultBase(secretKey),
+    getSharedSecret: (secretKey: Uint8Array, publicKey: Uint8Array) =>
+      scalarMult(secretKey, publicKey),
+    getPublicKey: (secretKey: Uint8Array): Uint8Array => scalarMultBase(secretKey),
     scalarMult,
@@ -202,3 +201,3 @@ scalarMultBase,
     lengths,
-  };
+  }) satisfies CryptoKeys;
 }

src/abstract/tower.ts

@@ -161,3 +161,2 @@ /**
   readonly isLE: boolean;
-  readonly MASK = _1n;
 
@@ -379,3 +378,2 @@ readonly ZERO: Fp2;
   readonly isLE: boolean;
-  readonly MASK = _1n;
 
@@ -604,3 +602,2 @@ readonly ZERO: Fp6;
   readonly isLE: boolean;
-  readonly MASK = _1n;
 
@@ -607,0 +604,0 @@ readonly ZERO: Fp12;

src/bls12-381.ts

@@ -81,3 +81,3 @@ /**
 import { sha256 } from '@noble/hashes/sha2.js';
-import { bls, type CurveFn } from './abstract/bls.ts';
+import { bls, type BlsCurvePairWithSignatures } from './abstract/bls.ts';
 import { Field, type IField } from './abstract/modular.ts';
@@ -91,5 +91,6 @@ import {
   concatBytes,
-  ensureBytes,
+  copyBytes,
+  hexToBytes,
   numberToBytesBE,
-  type Hex,
+  randomBytes,
 } from './utils.ts';
@@ -102,2 +103,3 @@ // Types
   mapToCurveSimpleSWU,
+  weierstrass,
   type AffinePoint,
@@ -152,5 +154,5 @@ type WeierstrassOpts,
 // CURVE FIELDS
+// r = z⁴ − z² + 1; CURVE.n from other curves
 export const bls12_381_Fr: IField<bigint> = Field(bls12_381_CURVE_G1.n, {
   modFromBytes: true,
-  isLE: true,
 });
@@ -200,3 +202,3 @@ const { Fp, Fp2, Fp6, Fp12 } = tower12({
  */
-const htfDefaults = Object.freeze({
+const hasher_opts = Object.freeze({
   DST: 'BLS_SIG_BLS12381G2_XMD:SHA-256_SSWU_RO_NUL_',
@@ -249,4 +251,5 @@ encodeDST: 'BLS_SIG_BLS12381G2_XMD:SHA-256_SSWU_RO_NUL_',
 function parseMask(bytes: Uint8Array) {
-  // Copy, so we can remove mask data. It will be removed also later, when Fp.create will call modulo.
-  bytes = bytes.slice();
+  // Copy, so we can remove mask data.
+  // It will be removed also later, when Fp.create will call modulo.
+  bytes = copyBytes(bytes);
   const mask = bytes[0] & 0b1110_0000;
@@ -331,4 +334,4 @@ const compressed = !!((mask >> 7) & 1); // compression bit (0b1000_0000)
 
-function signatureG1FromBytes(hex: Hex): WeierstrassPoint<Fp> {
-  const { infinity, sort, value } = parseMask(ensureBytes('signatureHex', hex, 48));
+function signatureG1FromBytes(bytes: Uint8Array): WeierstrassPoint<Fp> {
+  const { infinity, sort, value } = parseMask(abytes(bytes, 48, 'signature'));
   const P = Fp.ORDER;
@@ -438,6 +441,6 @@ const Point = bls12_381.G1.Point;
 
-function signatureG2FromBytes(hex: Hex) {
+function signatureG2FromBytes(bytes: Uint8Array) {
   const { ORDER: P } = Fp;
   // TODO: Optimize, it's very slow because of sqrt.
-  const { infinity, sort, value } = parseMask(ensureBytes('signatureHex', hex));
+  const { infinity, sort, value } = parseMask(abytes(bytes));
   const Point = bls12_381.G2.Point;
@@ -471,2 +474,123 @@ const half = value.length / 2;
 
+const signatureCoders = {
+  ShortSignature: {
+    fromBytes(bytes: Uint8Array) {
+      return signatureG1FromBytes(abytes(bytes));
+    },
+    fromHex(hex: string): WeierstrassPoint<Fp> {
+      return signatureG1FromBytes(hexToBytes(hex));
+    },
+    toBytes(point: WeierstrassPoint<Fp>) {
+      return signatureG1ToBytes(point);
+    },
+    toRawBytes(point: WeierstrassPoint<Fp>) {
+      return signatureG1ToBytes(point);
+    },
+    toHex(point: WeierstrassPoint<Fp>) {
+      return bytesToHex(signatureG1ToBytes(point));
+    },
+  },
+  LongSignature: {
+    fromBytes(bytes: Uint8Array): WeierstrassPoint<Fp2> {
+      return signatureG2FromBytes(abytes(bytes));
+    },
+    fromHex(hex: string): WeierstrassPoint<Fp2> {
+      return signatureG2FromBytes(hexToBytes(hex));
+    },
+    toBytes(point: WeierstrassPoint<Fp2>) {
+      return signatureG2ToBytes(point);
+    },
+    toRawBytes(point: WeierstrassPoint<Fp2>) {
+      return signatureG2ToBytes(point);
+    },
+    toHex(point: WeierstrassPoint<Fp2>) {
+      return bytesToHex(signatureG2ToBytes(point));
+    },
+  },
+};
+
+const fields = {
+  Fp,
+  Fp2,
+  Fp6,
+  Fp12,
+  Fr: bls12_381_Fr,
+};
+const G1_Point = weierstrass(bls12_381_CURVE_G1, {
+  allowInfinityPoint: true,
+  Fn: bls12_381_Fr,
+  fromBytes: pointG1FromBytes,
+  toBytes: pointG1ToBytes,
+  // Checks is the point resides in prime-order subgroup.
+  // point.isTorsionFree() should return true for valid points
+  // It returns false for shitty points.
+  // https://eprint.iacr.org/2021/1130.pdf
+  isTorsionFree: (c, point): boolean => {
+    // GLV endomorphism ψ(P)
+    const beta = BigInt(
+      '0x5f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffe'
+    );
+    const phi = new c(Fp.mul(point.X, beta), point.Y, point.Z);
+    // TODO: unroll
+    const xP = point.multiplyUnsafe(BLS_X).negate(); // [x]P
+    const u2P = xP.multiplyUnsafe(BLS_X); // [u2]P
+    return u2P.equals(phi);
+  },
+  // Clear cofactor of G1
+  // https://eprint.iacr.org/2019/403
+  clearCofactor: (_c, point) => {
+    // return this.multiplyUnsafe(CURVE.h);
+    return point.multiplyUnsafe(BLS_X).add(point); // x*P + P
+  },
+});
+const G2_Point = weierstrass(bls12_381_CURVE_G2, {
+  Fp: Fp2,
+  allowInfinityPoint: true,
+  Fn: bls12_381_Fr,
+  fromBytes: pointG2FromBytes,
+  toBytes: pointG2ToBytes,
+  // https://eprint.iacr.org/2021/1130.pdf
+  // Older version: https://eprint.iacr.org/2019/814.pdf
+  isTorsionFree: (c, P): boolean => {
+    return P.multiplyUnsafe(BLS_X).negate().equals(G2psi(c, P)); // ψ(P) == [u](P)
+  },
+  // clear_cofactor_bls12381_g2 from RFC 9380.
+  // https://eprint.iacr.org/2017/419.pdf
+  // prettier-ignore
+  clearCofactor: (c, P) => {
+    const x = BLS_X;
+    let t1 = P.multiplyUnsafe(x).negate();  // [-x]P
+    let t2 = G2psi(c, P);                   // Ψ(P)
+    let t3 = P.double();                    // 2P
+    t3 = G2psi2(c, t3);                     // Ψ²(2P)
+    t3 = t3.subtract(t2);                   // Ψ²(2P) - Ψ(P)
+    t2 = t1.add(t2);                        // [-x]P + Ψ(P)
+    t2 = t2.multiplyUnsafe(x).negate();     // [x²]P - [x]Ψ(P)
+    t3 = t3.add(t2);                        // Ψ²(2P) - Ψ(P) + [x²]P - [x]Ψ(P)
+    t3 = t3.subtract(t1);                   // Ψ²(2P) - Ψ(P) + [x²]P - [x]Ψ(P) + [x]P
+    const Q = t3.subtract(P);               // Ψ²(2P) - Ψ(P) + [x²]P - [x]Ψ(P) + [x]P - 1P
+    return Q;                               // [x²-x-1]P + [x-1]Ψ(P) + Ψ²(2P)
+  },
+});
+
+const bls12_hasher_opts = {
+  mapToG1: mapToG1,
+  mapToG2: mapToG2,
+  hasherOpts: hasher_opts,
+  hasherOptsG1: { ...hasher_opts, m: 1, DST: 'BLS_SIG_BLS12381G1_XMD:SHA-256_SSWU_RO_NUL_' },
+  hasherOptsG2: { ...hasher_opts },
+};
+
+const bls12_params = {
+  ateLoopSize: BLS_X, // The BLS parameter x for BLS12-381
+  xNegative: true,
+  twistType: 'multiplicative' as const,
+  randomBytes: randomBytes,
+  // https://datatracker.ietf.org/doc/html/rfc9380#name-clearing-the-cofactor
+  // https://datatracker.ietf.org/doc/html/rfc9380#name-cofactor-clearing-for-bls12
+  // G2hEff: BigInt(
+  //   '0xbc69f08f2ee75b3584c6a0ea91b352888e2a8e9145ad7689986ff031508ffe1329c2f178731db956d82bf015d1212b02ec0ec69d7477c1ae954cbc06689f6a359894c0adebbf6b4e8020005aaa95551'
+  // ),
+};
+
 /**
@@ -483,129 +607,10 @@ * bls12-381 pairing-friendly curve.
  */
-export const bls12_381: CurveFn = bls({
-  // Fields
-  fields: {
-    Fp,
-    Fp2,
-    Fp6,
-    Fp12,
-    Fr: bls12_381_Fr,
-  },
-  // G1: y² = x³ + 4
-  G1: {
-    ...bls12_381_CURVE_G1,
-    Fp,
-    htfDefaults: { ...htfDefaults, m: 1, DST: 'BLS_SIG_BLS12381G1_XMD:SHA-256_SSWU_RO_NUL_' },
-    wrapPrivateKey: true,
-    allowInfinityPoint: true,
-    // Checks is the point resides in prime-order subgroup.
-    // point.isTorsionFree() should return true for valid points
-    // It returns false for shitty points.
-    // https://eprint.iacr.org/2021/1130.pdf
-    isTorsionFree: (c, point): boolean => {
-      // GLV endomorphism ψ(P)
-      const beta = BigInt(
-        '0x5f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffe'
-      );
-      const phi = new c(Fp.mul(point.X, beta), point.Y, point.Z);
-      // TODO: unroll
-      const xP = point.multiplyUnsafe(BLS_X).negate(); // [x]P
-      const u2P = xP.multiplyUnsafe(BLS_X); // [u2]P
-      return u2P.equals(phi);
-    },
-    // Clear cofactor of G1
-    // https://eprint.iacr.org/2019/403
-    clearCofactor: (_c, point) => {
-      // return this.multiplyUnsafe(CURVE.h);
-      return point.multiplyUnsafe(BLS_X).add(point); // x*P + P
-    },
-    mapToCurve: mapToG1,
-    fromBytes: pointG1FromBytes,
-    toBytes: pointG1ToBytes,
-    ShortSignature: {
-      fromBytes(bytes: Uint8Array) {
-        abytes(bytes);
-        return signatureG1FromBytes(bytes);
-      },
-      fromHex(hex: Hex): WeierstrassPoint<Fp> {
-        return signatureG1FromBytes(hex);
-      },
-      toBytes(point: WeierstrassPoint<Fp>) {
-        return signatureG1ToBytes(point);
-      },
-      toRawBytes(point: WeierstrassPoint<Fp>) {
-        return signatureG1ToBytes(point);
-      },
-      toHex(point: WeierstrassPoint<Fp>) {
-        return bytesToHex(signatureG1ToBytes(point));
-      },
-    },
-  },
-  G2: {
-    ...bls12_381_CURVE_G2,
-    Fp: Fp2,
-    // https://datatracker.ietf.org/doc/html/rfc9380#name-clearing-the-cofactor
-    // https://datatracker.ietf.org/doc/html/rfc9380#name-cofactor-clearing-for-bls12
-    hEff: BigInt(
-      '0xbc69f08f2ee75b3584c6a0ea91b352888e2a8e9145ad7689986ff031508ffe1329c2f178731db956d82bf015d1212b02ec0ec69d7477c1ae954cbc06689f6a359894c0adebbf6b4e8020005aaa95551'
-    ),
-    htfDefaults: { ...htfDefaults },
-    wrapPrivateKey: true,
-    allowInfinityPoint: true,
-    mapToCurve: mapToG2,
-    // Checks is the point resides in prime-order subgroup.
-    // point.isTorsionFree() should return true for valid points
-    // It returns false for shitty points.
-    // https://eprint.iacr.org/2021/1130.pdf
-    // Older version: https://eprint.iacr.org/2019/814.pdf
-    isTorsionFree: (c, P): boolean => {
-      return P.multiplyUnsafe(BLS_X).negate().equals(G2psi(c, P)); // ψ(P) == [u](P)
-    },
-    // Maps the point into the prime-order subgroup G2.
-    // clear_cofactor_bls12381_g2 from RFC 9380.
-    // https://eprint.iacr.org/2017/419.pdf
-    // prettier-ignore
-    clearCofactor: (c, P) => {
-      const x = BLS_X;
-      let t1 = P.multiplyUnsafe(x).negate();  // [-x]P
-      let t2 = G2psi(c, P);                   // Ψ(P)
-      let t3 = P.double();                    // 2P
-      t3 = G2psi2(c, t3);                     // Ψ²(2P)
-      t3 = t3.subtract(t2);                   // Ψ²(2P) - Ψ(P)
-      t2 = t1.add(t2);                        // [-x]P + Ψ(P)
-      t2 = t2.multiplyUnsafe(x).negate();     // [x²]P - [x]Ψ(P)
-      t3 = t3.add(t2);                        // Ψ²(2P) - Ψ(P) + [x²]P - [x]Ψ(P)
-      t3 = t3.subtract(t1);                   // Ψ²(2P) - Ψ(P) + [x²]P - [x]Ψ(P) + [x]P
-      const Q = t3.subtract(P);               // Ψ²(2P) - Ψ(P) + [x²]P - [x]Ψ(P) + [x]P - 1P
-      return Q;                               // [x²-x-1]P + [x-1]Ψ(P) + Ψ²(2P)
-    },
-    fromBytes: pointG2FromBytes,
-    toBytes: pointG2ToBytes,
-    Signature: {
-      fromBytes(bytes: Uint8Array): WeierstrassPoint<Fp2> {
-        abytes(bytes);
-        return signatureG2FromBytes(bytes);
-      },
-      fromHex(hex: Hex): WeierstrassPoint<Fp2> {
-        return signatureG2FromBytes(hex);
-      },
-      toBytes(point: WeierstrassPoint<Fp2>) {
-        return signatureG2ToBytes(point);
-      },
-      toRawBytes(point: WeierstrassPoint<Fp2>) {
-        return signatureG2ToBytes(point);
-      },
-      toHex(point: WeierstrassPoint<Fp2>) {
-        return bytesToHex(signatureG2ToBytes(point));
-      },
-    },
-  },
-  params: {
-    ateLoopSize: BLS_X, // The BLS parameter x for BLS12-381
-    r: bls12_381_CURVE_G1.n, // order; z⁴ − z² + 1; CURVE.n from other curves
-    xNegative: true,
-    twistType: 'multiplicative',
-  },
-  htfDefaults,
-  hash: sha256,
-});
+export const bls12_381: BlsCurvePairWithSignatures = bls(
+  fields,
+  G1_Point,
+  G2_Point,
+  bls12_params,
+  bls12_hasher_opts,
+  signatureCoders
+);
 
@@ -612,0 +617,0 @@ // 3-isogeny map from E' to E https://www.rfc-editor.org/rfc/rfc9380#appendix-E.3

src/bn254.ts

@@ -57,6 +57,5 @@ /**
 /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { sha256 } from '@noble/hashes/sha2.js';
 import {
-  bls,
-  type CurveFn as BLSCurveFn,
+  blsBasic,
+  type BLSCurvePair,
   type PostPrecomputeFn,
@@ -68,4 +67,4 @@ type PostPrecomputePointAddFn,
 import { psiFrobenius, tower12 } from './abstract/tower.ts';
-import { type CurveFn, weierstrass, type WeierstrassOpts } from './abstract/weierstrass.ts';
-import { bitLen, notImplemented } from './utils.ts';
+import { weierstrass, type WeierstrassOpts } from './abstract/weierstrass.ts';
+import { bitLen } from './utils.ts';
 // prettier-ignore
@@ -127,20 +126,2 @@ const _0n = BigInt(0), _1n = BigInt(1), _2n = BigInt(2), _3n = BigInt(3);
 
-/*
-No hashToCurve for now (and signatures):
-
-- RFC 9380 doesn't mention bn254 and doesn't provide test vectors
-- Overall seems like nobody is using BLS signatures on top of bn254
-- Seems like it can utilize SVDW, which is not implemented yet
-*/
-const htfDefaults = Object.freeze({
-  // DST: a domain separation tag defined in section 2.2.5
-  DST: 'BN254G2_XMD:SHA-256_SVDW_RO_',
-  encodeDST: 'BN254G2_XMD:SHA-256_SVDW_RO_',
-  p: Fp.ORDER,
-  m: 2,
-  k: 128,
-  expand: 'xmd',
-  hash: sha256,
-});
-
 export const _postPrecompute: PostPrecomputeFn = (
@@ -177,2 +158,61 @@ Rx: Fp2,
 
+const fields = { Fp, Fp2, Fp6, Fp12, Fr: bn254_Fr };
+const bn254_G1 = weierstrass(bn254_G1_CURVE, {
+  Fp,
+  Fn: bn254_Fr,
+  allowInfinityPoint: true,
+});
+const bn254_G2 = weierstrass(bn254_G2_CURVE, {
+  Fp: Fp2,
+  Fn: bn254_Fr,
+  allowInfinityPoint: true,
+  isTorsionFree: (c, P) => P.multiplyUnsafe(SIX_X_SQUARED).equals(G2psi(c, P)), // [p]P = [6X^2]P
+});
+/*
+No hashToCurve for now (and signatures):
+
+- RFC 9380 doesn't mention bn254 and doesn't provide test vectors
+- Overall seems like nobody is using BLS signatures on top of bn254
+- Seems like it can utilize SVDW, which is not implemented yet
+*/
+// const htfDefaults = Object.freeze({
+//   // DST: a domain separation tag defined in section 2.2.5
+//   DST: 'BN254G2_XMD:SHA-256_SVDW_RO_',
+//   encodeDST: 'BN254G2_XMD:SHA-256_SVDW_RO_',
+//   p: Fp.ORDER,
+//   m: 2,
+//   k: 128,
+//   expand: 'xmd',
+//   hash: sha256,
+// });
+// const hasherOpts = {
+//   { ...htfDefaults, m: 1, DST: 'BN254G2_XMD:SHA-256_SVDW_RO_' }
+// };
+const bn254_params = {
+  ateLoopSize: BN_X * _6n + _2n,
+  r: bn254_Fr.ORDER,
+  xNegative: false,
+  twistType: 'divisive' as const,
+  postPrecompute: _postPrecompute,
+};
+// const bn254_hasher = {
+//   hasherOpts: htfDefaults,
+//   hasherOptsG1: { m: 1, DST: 'BN254G2_XMD:SHA-256_SVDW_RO_' },
+//   hasherOptsG2: htfDefaults
+// };
+// G2_heff     hEff: BigInt('21888242871839275222246405745257275088844257914179612981679871602714643921549'),
+// fromBytes: notImplemented,
+// toBytes: notImplemented,
+
+// mapToCurve: notImplemented,
+// fromBytes: notImplemented,
+// toBytes: notImplemented,
+// ShortSignature: {
+//   fromBytes: notImplemented,
+//   fromHex: notImplemented,
+//   toBytes: notImplemented,
+//   toRawBytes: notImplemented,
+//   toHex: notImplemented,
+// },
+
 /**
@@ -182,67 +222,3 @@ * bn254 (a.k.a. alt_bn128) pairing-friendly curve.
  */
-export const bn254: BLSCurveFn = bls({
-  // Fields
-  fields: { Fp, Fp2, Fp6, Fp12, Fr: bn254_Fr },
-  G1: {
-    ...bn254_G1_CURVE,
-    Fp,
-    htfDefaults: { ...htfDefaults, m: 1, DST: 'BN254G2_XMD:SHA-256_SVDW_RO_' },
-    wrapPrivateKey: true,
-    allowInfinityPoint: true,
-    mapToCurve: notImplemented,
-    fromBytes: notImplemented,
-    toBytes: notImplemented,
-    ShortSignature: {
-      fromBytes: notImplemented,
-      fromHex: notImplemented,
-      toBytes: notImplemented,
-      toRawBytes: notImplemented,
-      toHex: notImplemented,
-    },
-  },
-  G2: {
-    ...bn254_G2_CURVE,
-    Fp: Fp2,
-    hEff: BigInt('21888242871839275222246405745257275088844257914179612981679871602714643921549'),
-    htfDefaults: { ...htfDefaults },
-    wrapPrivateKey: true,
-    allowInfinityPoint: true,
-    isTorsionFree: (c, P) => P.multiplyUnsafe(SIX_X_SQUARED).equals(G2psi(c, P)), // [p]P = [6X^2]P
-    mapToCurve: notImplemented,
-    fromBytes: notImplemented,
-    toBytes: notImplemented,
-    Signature: {
-      fromBytes: notImplemented,
-      fromHex: notImplemented,
-      toBytes: notImplemented,
-      toRawBytes: notImplemented,
-      toHex: notImplemented,
-    },
-  },
-  params: {
-    ateLoopSize: BN_X * _6n + _2n,
-    r: bn254_Fr.ORDER,
-    xNegative: false,
-    twistType: 'divisive',
-  },
-  htfDefaults,
-  hash: sha256,
-  postPrecompute: _postPrecompute,
-});
-
-/**
- * bn254 weierstrass curve with ECDSA.
- * This is very rare and probably not used anywhere.
- * Instead, you should use G1 / G2, defined above.
- * @deprecated
- */
-export const bn254_weierstrass: CurveFn = weierstrass({
-  a: BigInt(0),
-  b: BigInt(3),
-  Fp,
-  n: BigInt('21888242871839275222246405745257275088548364400416034343698204186575808495617'),
-  Gx: BigInt(1),
-  Gy: BigInt(2),
-  h: BigInt(1),
-  hash: sha256,
-});
+// bn254_hasher
+export const bn254: BLSCurvePair = blsBasic(fields, bn254_G1, bn254_G2, bn254_params);

src/ed25519.ts

@@ -10,10 +10,13 @@ /**
 import { sha512 } from '@noble/hashes/sha2.js';
-import { abytes, concatBytes, utf8ToBytes } from '@noble/hashes/utils.js';
-import { pippenger, type AffinePoint } from './abstract/curve.ts';
+import { abytes, concatBytes, hexToBytes } from '@noble/hashes/utils.js';
+import { type AffinePoint } from './abstract/curve.ts';
 import {
+  eddsa,
+  edwards,
   PrimeEdwardsPoint,
-  twistedEdwards,
-  type CurveFn,
+  type EdDSA,
+  type EdDSAOpts,
   type EdwardsOpts,
   type EdwardsPoint,
+  type EdwardsPointCons,
 } from './abstract/edwards.ts';
@@ -26,7 +29,5 @@ import {
   type H2CHasherBase,
-  type H2CMethod,
   type htfBasicOpts,
 } from './abstract/hash-to-curve.ts';
 import {
-  Field,
   FpInvertBatch,
@@ -39,4 +40,5 @@ FpSqrtEven,
 } from './abstract/modular.ts';
-import { montgomery, type MontgomeryECDH as XCurveFn } from './abstract/montgomery.ts';
-import { bytesToNumberLE, ensureBytes, equalBytes, type Hex } from './utils.ts';
+import { montgomery, type MontgomeryECDH } from './abstract/montgomery.ts';
+import { createORPF, type OPRF } from './abstract/oprf.ts';
+import { asciiToBytes, bytesToNumberLE, equalBytes } from './utils.ts';
 
@@ -48,7 +50,6 @@ // prettier-ignore
 
-// P = 2n**255n-19n
+// P = 2n**255n - 19n
 const ed25519_CURVE_p = BigInt(
   '0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed'
 );
-
 // N = 2n**252n + 27742317777372353535851937790883648493n
@@ -123,16 +124,21 @@ // a = Fp.create(BigInt(-1))
 
-const Fp = /* @__PURE__ */ (() => Field(ed25519_CURVE.p, { isLE: true }))();
-const Fn = /* @__PURE__ */ (() => Field(ed25519_CURVE.n, { isLE: true }))();
+const ed25519_Point = /* @__PURE__ */ edwards(ed25519_CURVE, { uvRatio });
+const Fp = /* @__PURE__ */ (() => ed25519_Point.Fp)();
+const Fn = /* @__PURE__ */ (() => ed25519_Point.Fn)();
 
-const ed25519Defaults = /* @__PURE__ */ (() => ({
-  ...ed25519_CURVE,
-  Fp,
-  hash: sha512,
-  adjustScalarBytes,
-  // dom2
-  // Ratio of u to v. Allows us to combine inversion and square root. Uses algo from RFC8032 5.1.3.
-  // Constant-time, u/√v
-  uvRatio,
-}))();
+const ed25519_eddsa_opts = { adjustScalarBytes };
+function ed25519_domain(data: Uint8Array, ctx: Uint8Array, phflag: boolean) {
+  if (ctx.length > 255) throw new Error('Context is too big');
+  return concatBytes(
+    asciiToBytes('SigEd25519 no Ed25519 collisions'),
+    new Uint8Array([phflag ? 1 : 0, ctx.length]),
+    ctx,
+    data
+  );
+}
 
+function _ed(opts: EdDSAOpts) {
+  return eddsa(ed25519_Point, sha512, Object.assign({}, ed25519_eddsa_opts, opts));
+}
+
 /**
@@ -148,29 +154,7 @@ * ed25519 curve with EdDSA signatures.
  */
-export const ed25519: CurveFn = /* @__PURE__ */ (() => twistedEdwards(ed25519Defaults))();
-
-function ed25519_domain(data: Uint8Array, ctx: Uint8Array, phflag: boolean) {
-  if (ctx.length > 255) throw new Error('Context is too big');
-  return concatBytes(
-    utf8ToBytes('SigEd25519 no Ed25519 collisions'),
-    new Uint8Array([phflag ? 1 : 0, ctx.length]),
-    ctx,
-    data
-  );
-}
-
+export const ed25519: EdDSA = /* @__PURE__ */ _ed({});
 /** Context of ed25519. Uses context for domain separation. */
-export const ed25519ctx: CurveFn = /* @__PURE__ */ (() =>
-  twistedEdwards({
-    ...ed25519Defaults,
-    domain: ed25519_domain,
-  }))();
-
+export const ed25519ctx: EdDSA = /* @__PURE__ */ _ed({ domain: ed25519_domain });
 /** Prehashed version of ed25519. Accepts already-hashed messages in sign() and verify(). */
-export const ed25519ph: CurveFn = /* @__PURE__ */ (() =>
-  twistedEdwards(
-    Object.assign({}, ed25519Defaults, {
-      domain: ed25519_domain,
-      prehash: sha512,
-    })
-  ))();
+export const ed25519ph: EdDSA = /* @__PURE__ */ _ed({ domain: ed25519_domain, prehash: sha512 });
 
@@ -187,4 +171,4 @@ /**
  */
-export const x25519: XCurveFn = /* @__PURE__ */ (() => {
-  const P = Fp.ORDER;
+export const x25519: MontgomeryECDH = /* @__PURE__ */ (() => {
+  const P = ed25519_CURVE_p;
   return montgomery({
@@ -275,5 +259,5 @@ P,
 /** Hashing to ed25519 points / field. RFC 9380 methods. */
-export const ed25519_hasher: H2CHasher<bigint> = /* @__PURE__ */ (() =>
+export const ed25519_hasher: H2CHasher<EdwardsPointCons> = /* @__PURE__ */ (() =>
   createHasher(
-    ed25519.Point,
+    ed25519_Point,
     (scalars: bigint[]) => map_to_curve_elligator2_edwards25519(scalars[0]),
@@ -315,4 +299,3 @@ {
 );
-const bytes255ToNumberLE = (bytes: Uint8Array) =>
-  ed25519.Point.Fp.create(bytesToNumberLE(bytes) & MAX_255B);
+const bytes255ToNumberLE = (bytes: Uint8Array) => Fp.create(bytesToNumberLE(bytes) & MAX_255B);
 
@@ -345,3 +328,3 @@ type ExtendedPoint = EdwardsPoint;
   const W3 = mod(_1n + s2); // 13
-  return new ed25519.Point(mod(W0 * W3), mod(W2 * W1), mod(W1 * W3), mod(W0 * W2));
+  return new ed25519_Point(mod(W0 * W3), mod(W2 * W1), mod(W1 * W3), mod(W0 * W2));
 }
@@ -372,6 +355,6 @@
   static BASE: _RistrettoPoint =
-    /* @__PURE__ */ (() => new _RistrettoPoint(ed25519.Point.BASE))();
+    /* @__PURE__ */ (() => new _RistrettoPoint(ed25519_Point.BASE))();
   // prettier-ignore
   static ZERO: _RistrettoPoint =
-    /* @__PURE__ */ (() => new _RistrettoPoint(ed25519.Point.ZERO))();
+    /* @__PURE__ */ (() => new _RistrettoPoint(ed25519_Point.ZERO))();
   // prettier-ignore
@@ -389,3 +372,3 @@ static Fp: IField<bigint> =
   static fromAffine(ap: AffinePoint<bigint>): _RistrettoPoint {
-    return new _RistrettoPoint(ed25519.Point.fromAffine(ap));
+    return new _RistrettoPoint(ed25519_Point.fromAffine(ap));
   }
@@ -401,7 +384,2 @@
 
-  /** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */
-  static hashToCurve(hex: Hex): _RistrettoPoint {
-    return ristretto255_map(ensureBytes('ristrettoHash', hex, 64));
-  }
-
   static fromBytes(bytes: Uint8Array): _RistrettoPoint {
@@ -432,3 +410,3 @@ abytes(bytes, 32);
       throw new Error('invalid ristretto255 encoding 2');
-    return new _RistrettoPoint(new ed25519.Point(x, y, _1n, t));
+    return new _RistrettoPoint(new ed25519_Point(x, y, _1n, t));
   }
@@ -441,10 +419,6 @@
    */
-  static fromHex(hex: Hex): _RistrettoPoint {
-    return _RistrettoPoint.fromBytes(ensureBytes('ristrettoHex', hex, 32));
+  static fromHex(hex: string): _RistrettoPoint {
+    return _RistrettoPoint.fromBytes(hexToBytes(hex));
   }
 
-  static msm(points: _RistrettoPoint[], scalars: bigint[]): _RistrettoPoint {
-    return pippenger(_RistrettoPoint, ed25519.Point.Fn, points, scalars);
-  }
-
   /**
@@ -507,3 +481,3 @@ * Encodes ristretto point to Uint8Array.
 /** Hashing to ristretto255 points / field. RFC 9380 methods. */
-export const ristretto255_hasher: H2CHasherBase<bigint> = {
+export const ristretto255_hasher: H2CHasherBase<_RistrettoPoint> = {
   hashToCurve(msg: Uint8Array, options?: htfBasicOpts): _RistrettoPoint {
@@ -520,9 +494,10 @@ const DST = options?.DST || 'ristretto255_XMD:SHA-512_R255MAP_RO_';
 
-// export const ristretto255_oprf: OPRF = createORPF({
-//   name: 'ristretto255-SHA512',
-//   Point: RistrettoPoint,
-//   hash: sha512,
-//   hashToGroup: ristretto255_hasher.hashToCurve,
-//   hashToScalar: ristretto255_hasher.hashToScalar,
-// });
+export const ristretto255_oprf: OPRF = /* @__PURE__ */ (() =>
+  createORPF({
+    name: 'ristretto255-SHA512',
+    Point: _RistrettoPoint,
+    hash: sha512,
+    hashToGroup: ristretto255_hasher.hashToCurve,
+    hashToScalar: ristretto255_hasher.hashToScalar,
+  }))();
 
@@ -545,28 +520,1 @@ /**
 ];
-
-/** @deprecated use `ed25519.utils.toMontgomery` */
-export function edwardsToMontgomeryPub(edwardsPub: Hex): Uint8Array {
-  return ed25519.utils.toMontgomery(ensureBytes('pub', edwardsPub));
-}
-/** @deprecated use `ed25519.utils.toMontgomery` */
-export const edwardsToMontgomery: typeof edwardsToMontgomeryPub = edwardsToMontgomeryPub;
-
-/** @deprecated use `ed25519.utils.toMontgomeryPriv` */
-export function edwardsToMontgomeryPriv(edwardsPriv: Uint8Array): Uint8Array {
-  return ed25519.utils.toMontgomeryPriv(ensureBytes('pub', edwardsPriv));
-}
-
-/** @deprecated use `ristretto255.Point` */
-export const RistrettoPoint: typeof _RistrettoPoint = _RistrettoPoint;
-/** @deprecated use `import { ed25519_hasher } from '@noble/curves/ed25519.js';` */
-export const hashToCurve: H2CMethod<bigint> = /* @__PURE__ */ (() => ed25519_hasher.hashToCurve)();
-/** @deprecated use `import { ed25519_hasher } from '@noble/curves/ed25519.js';` */
-export const encodeToCurve: H2CMethod<bigint> = /* @__PURE__ */ (() =>
-  ed25519_hasher.encodeToCurve)();
-type RistHasher = (msg: Uint8Array, options: htfBasicOpts) => _RistrettoPoint;
-/** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */
-export const hashToRistretto255: RistHasher = /* @__PURE__ */ (() =>
-  ristretto255_hasher.hashToCurve as RistHasher)();
-/** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */
-export const hash_to_ristretto255: RistHasher = /* @__PURE__ */ (() =>
-  ristretto255_hasher.hashToCurve as RistHasher)();

src/ed448.ts

@@ -11,10 +11,9 @@ /**
 import { shake256 } from '@noble/hashes/sha3.js';
-import { abytes, concatBytes, createHasher as wrapConstructor } from '@noble/hashes/utils.js';
+import { concatBytes, hexToBytes, createHasher as wrapConstructor } from '@noble/hashes/utils.js';
 import type { AffinePoint } from './abstract/curve.ts';
-import { pippenger } from './abstract/curve.ts';
 import {
+  eddsa,
   edwards,
   PrimeEdwardsPoint,
-  twistedEdwards,
-  type CurveFn,
+  type EdDSA,
   type EdwardsOpts,
@@ -30,8 +29,8 @@ type EdwardsPoint,
   type H2CHasherBase,
-  type H2CMethod,
   type htfBasicOpts,
 } from './abstract/hash-to-curve.ts';
 import { Field, FpInvertBatch, isNegativeLE, mod, pow2, type IField } from './abstract/modular.ts';
-import { montgomery, type MontgomeryECDH as XCurveFn } from './abstract/montgomery.ts';
-import { asciiToBytes, bytesToNumberLE, ensureBytes, equalBytes, type Hex } from './utils.ts';
+import { montgomery, type MontgomeryECDH } from './abstract/montgomery.ts';
+import { createORPF, type OPRF } from './abstract/oprf.ts';
+import { abytes, asciiToBytes, bytesToNumberLE, equalBytes } from './utils.ts';
 
@@ -159,16 +158,5 @@ // edwards448 curve
 }
-// const ed448_eddsa_opts = { adjustScalarBytes, domain: dom4 };
-// const ed448_Point = edwards(ed448_CURVE, { Fp, Fn, uvRatio });
+const ed448_eddsa_opts = { adjustScalarBytes, domain: dom4 };
+const ed448_Point = edwards(ed448_CURVE, { Fp, Fn, uvRatio });
 
-const ED448_DEF = /* @__PURE__ */ (() => ({
-  ...ed448_CURVE,
-  Fp,
-  Fn,
-  nBitLength: Fn.BITS,
-  hash: shake256_114,
-  adjustScalarBytes,
-  domain: dom4,
-  uvRatio,
-}))();
-
 /**
@@ -183,11 +171,10 @@ * ed448 EdDSA curve and methods.
  */
-export const ed448: CurveFn = twistedEdwards(ED448_DEF);
+export const ed448: EdDSA = eddsa(ed448_Point, shake256_114, ed448_eddsa_opts);
 
 // There is no ed448ctx, since ed448 supports ctx by default
 /** Prehashed version of ed448. Accepts already-hashed messages in sign() and verify(). */
-export const ed448ph: CurveFn = /* @__PURE__ */ (() =>
-  twistedEdwards({
-    ...ED448_DEF,
-    prehash: shake256_64,
-  }))();
+export const ed448ph: EdDSA = /* @__PURE__ */ eddsa(ed448_Point, shake256_114, {
+  ...ed448_eddsa_opts,
+  prehash: shake256_64,
+});
 
@@ -206,3 +193,3 @@ /**
  */
-export const x448: XCurveFn = /* @__PURE__ */ (() => {
+export const x448: MontgomeryECDH = /* @__PURE__ */ (() => {
   const P = ed448_CURVE.p;
@@ -299,4 +286,4 @@ return montgomery({
 /** Hashing / encoding to ed448 points / field. RFC 9380 methods. */
-export const ed448_hasher: H2CHasher<bigint> = /* @__PURE__ */ (() =>
-  createHasher(ed448.Point, (scalars: bigint[]) => map_to_curve_elligator2_edwards448(scalars[0]), {
+export const ed448_hasher: H2CHasher<EdwardsPointCons> = /* @__PURE__ */ (() =>
+  createHasher(ed448_Point, (scalars: bigint[]) => map_to_curve_elligator2_edwards448(scalars[0]), {
     DST: 'edwards448_XOF:SHAKE256_ELL2_RO_',
@@ -357,3 +344,3 @@ encodeDST: 'edwards448_XOF:SHAKE256_ELL2_NU_',
   const W3 = mod(v_prime * s * (r - _1n) * ONE_MINUS_TWO_D + sgn); // 11
-  return new ed448.Point(mod(W0 * W3), mod(W2 * W1), mod(W1 * W3), mod(W0 * W2));
+  return new ed448_Point(mod(W0 * W3), mod(W2 * W1), mod(W1 * W3), mod(W0 * W2));
 }
@@ -385,6 +372,6 @@
   static BASE: _DecafPoint =
-    /* @__PURE__ */ (() => new _DecafPoint(ed448.Point.BASE).multiplyUnsafe(_2n))();
+    /* @__PURE__ */ (() => new _DecafPoint(ed448_Point.BASE).multiplyUnsafe(_2n))();
   // prettier-ignore
   static ZERO: _DecafPoint =
-    /* @__PURE__ */ (() => new _DecafPoint(ed448.Point.ZERO))();
+    /* @__PURE__ */ (() => new _DecafPoint(ed448_Point.ZERO))();
   // prettier-ignore
@@ -402,3 +389,3 @@ static Fp: IField<bigint> =
   static fromAffine(ap: AffinePoint<bigint>): _DecafPoint {
-    return new _DecafPoint(ed448.Point.fromAffine(ap));
+    return new _DecafPoint(ed448_Point.fromAffine(ap));
   }
@@ -414,7 +401,2 @@
 
-  /** @deprecated use `import { decaf448_hasher } from '@noble/curves/ed448.js';` */
-  static hashToCurve(hex: Hex): _DecafPoint {
-    return decaf448_map(ensureBytes('decafHash', hex, 112));
-  }
-
   static fromBytes(bytes: Uint8Array): _DecafPoint {
@@ -429,3 +411,2 @@ abytes(bytes, 56);
     // 2. Check that s is non-negative, or else abort
-
     if (!equalBytes(Fn448.toBytes(s), bytes) || isNegativeLE(s, P))
@@ -449,3 +430,3 @@ throw new Error('invalid decaf448 encoding 1');
     if (!isValid) throw new Error('invalid decaf448 encoding 2');
-    return new _DecafPoint(new ed448.Point(x, y, _1n, t));
+    return new _DecafPoint(new ed448_Point(x, y, _1n, t));
   }
@@ -458,11 +439,6 @@
    */
-  static fromHex(hex: Hex): _DecafPoint {
-    return _DecafPoint.fromBytes(ensureBytes('decafHex', hex, 56));
+  static fromHex(hex: string): _DecafPoint {
+    return _DecafPoint.fromBytes(hexToBytes(hex));
   }
 
-  /** @deprecated use `import { pippenger } from '@noble/curves/abstract/curve.js';` */
-  static msm(points: _DecafPoint[], scalars: bigint[]): _DecafPoint {
-    return pippenger(_DecafPoint, Fn, points, scalars);
-  }
-
   /**
@@ -509,3 +485,3 @@ * Encodes decaf point to Uint8Array.
 /** Hashing to decaf448 points / field. RFC 9380 methods. */
-export const decaf448_hasher: H2CHasherBase<bigint> = {
+export const decaf448_hasher: H2CHasherBase<_DecafPoint> = {
   hashToCurve(msg: Uint8Array, options?: htfBasicOpts): _DecafPoint {
@@ -525,9 +501,10 @@ const DST = options?.DST || 'decaf448_XOF:SHAKE256_D448MAP_RO_';
 
-// export const decaf448_oprf: OPRF = createORPF({
-//   name: 'decaf448-SHAKE256',
-//   Point: DecafPoint,
-//   hash: (msg: Uint8Array) => shake256(msg, { dkLen: 64 }),
-//   hashToGroup: decaf448_hasher.hashToCurve,
-//   hashToScalar: decaf448_hasher.hashToScalar,
-// });
+export const decaf448_oprf: OPRF = /* @__PURE__ */ (() =>
+  createORPF({
+    name: 'decaf448-SHAKE256',
+    Point: _DecafPoint,
+    hash: (msg: Uint8Array) => shake256(msg, { dkLen: 64 }),
+    hashToGroup: decaf448_hasher.hashToCurve,
+    hashToScalar: decaf448_hasher.hashToScalar,
+  }))();
 
@@ -546,23 +523,1 @@ /**
 ];
-
-type DcfHasher = (msg: Uint8Array, options: htfBasicOpts) => _DecafPoint;
-
-/** @deprecated use `decaf448.Point` */
-export const DecafPoint: typeof _DecafPoint = _DecafPoint;
-/** @deprecated use `import { ed448_hasher } from '@noble/curves/ed448.js';` */
-export const hashToCurve: H2CMethod<bigint> = /* @__PURE__ */ (() => ed448_hasher.hashToCurve)();
-/** @deprecated use `import { ed448_hasher } from '@noble/curves/ed448.js';` */
-export const encodeToCurve: H2CMethod<bigint> = /* @__PURE__ */ (() =>
-  ed448_hasher.encodeToCurve)();
-/** @deprecated use `import { decaf448_hasher } from '@noble/curves/ed448.js';` */
-export const hashToDecaf448: DcfHasher = /* @__PURE__ */ (() =>
-  decaf448_hasher.hashToCurve as DcfHasher)();
-/** @deprecated use `import { decaf448_hasher } from '@noble/curves/ed448.js';` */
-export const hash_to_decaf448: DcfHasher = /* @__PURE__ */ (() =>
-  decaf448_hasher.hashToCurve as DcfHasher)();
-/** @deprecated use `ed448.utils.toMontgomery` */
-export function edwardsToMontgomeryPub(edwardsPub: string | Uint8Array): Uint8Array {
-  return ed448.utils.toMontgomery(ensureBytes('pub', edwardsPub));
-}
-/** @deprecated use `ed448.utils.toMontgomery` */
-export const edwardsToMontgomery: typeof edwardsToMontgomeryPub = edwardsToMontgomeryPub;

src/index.ts

@@ -12,5 +12,5 @@ /**
 import { bn254 } from '@noble/curves/bn254.js';
-import { bytesToHex, hexToBytes, concatBytes, utf8ToBytes } from '@noble/curves/abstract/utils.js';
+import { bytesToHex, hexToBytes, concatBytes, utf8ToBytes } from '@noble/curves/utils.js';
 ```
  */
 throw new Error('root module cannot be imported: import submodules instead. Check out README');

src/misc.ts

@@ -9,14 +9,15 @@ /**
 import { blake2s } from '@noble/hashes/blake2.js';
-import { sha256, sha512 } from '@noble/hashes/sha2.js';
-import { concatBytes, utf8ToBytes } from '@noble/hashes/utils.js';
+import { sha256, sha384, sha512 } from '@noble/hashes/sha2.js';
+import { concatBytes } from '@noble/hashes/utils.js';
 import {
-  twistedEdwards,
-  type CurveFn,
+  eddsa,
+  edwards,
+  type EdDSA,
   type EdwardsOpts,
   type EdwardsPoint,
 } from './abstract/edwards.ts';
-import { Field, mod } from './abstract/modular.ts';
-import { weierstrass, type CurveFn as WCurveFn } from './abstract/weierstrass.ts';
+import { ecdsa, weierstrass, type ECDSA, type WeierstrassOpts } from './abstract/weierstrass.ts';
 import { bls12_381_Fr } from './bls12-381.ts';
 import { bn254_Fr } from './bn254.ts';
+import { asciiToBytes } from './utils.ts';
 
@@ -36,7 +37,3 @@ // Jubjub curves have 𝔽p over scalar fields of other curves. They are friendly to ZK proofs.
 /** Curve over scalar field of bls12-381. jubjub Fp = bls n */
-export const jubjub: CurveFn = /* @__PURE__ */ twistedEdwards({
-  ...jubjub_CURVE,
-  Fp: bls12_381_Fr,
-  hash: sha512,
-});
+export const jubjub: EdDSA = /* @__PURE__ */ eddsa(edwards(jubjub_CURVE), sha512);
 
@@ -53,9 +50,5 @@ const babyjubjub_CURVE: EdwardsOpts = {
 /** Curve over scalar field of bn254. babyjubjub Fp = bn254 n */
-export const babyjubjub: CurveFn = /* @__PURE__ */ twistedEdwards({
-  ...babyjubjub_CURVE,
-  Fp: bn254_Fr,
-  hash: blake256,
-});
+export const babyjubjub: EdDSA = /* @__PURE__ */ eddsa(edwards(babyjubjub_CURVE), blake256);
 
-const jubjub_gh_first_block = utf8ToBytes(
+const jubjub_gh_first_block = asciiToBytes(
   '096b36a5804bfacef1691e173c366a47ff5ba84a44f26ddd7e8d9f79d5b42df0'
@@ -93,36 +86,60 @@ );
 
-// Pasta curves. See [Spec](https://o1-labs.github.io/proof-systems/specs/pasta.html).
+const brainpoolP256r1_CURVE: WeierstrassOpts<bigint> = {
+  p: BigInt('0xa9fb57dba1eea9bc3e660a909d838d726e3bf623d52620282013481d1f6e5377'),
+  a: BigInt('0x7d5a0975fc2c3057eef67530417affe7fb8055c126dc5c6ce94a4b44f330b5d9'),
+  b: BigInt('0x26dc5c6ce94a4b44f330b5d9bbd77cbf958416295cf7e1ce6bccdc18ff8c07b6'),
+  n: BigInt('0xa9fb57dba1eea9bc3e660a909d838d718c397aa3b561a6f7901e0e82974856a7'),
+  Gx: BigInt('0x8bd2aeb9cb7e57cb2c4b482ffc81b7afb9de27e1e3bd23c23a4453bd9ace3262'),
+  Gy: BigInt('0x547ef835c3dac4fd97f8461a14611dc9c27745132ded8e545c1d54c72f046997'),
+  h: BigInt(1),
+};
+/** Brainpool P256r1 with sha256, from RFC 5639. */
+export const brainpoolP256r1: ECDSA = ecdsa(weierstrass(brainpoolP256r1_CURVE), sha256);
 
-export const pasta_p: bigint = BigInt(
-  '0x40000000000000000000000000000000224698fc094cf91b992d30ed00000001'
-);
-export const pasta_q: bigint = BigInt(
-  '0x40000000000000000000000000000000224698fc0994a8dd8c46eb2100000001'
-);
+const brainpoolP384r1_CURVE: WeierstrassOpts<bigint> = {
+  p: BigInt(
+    '0x8cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b412b1da197fb71123acd3a729901d1a71874700133107ec53'
+  ),
+  a: BigInt(
+    '0x7bc382c63d8c150c3c72080ace05afa0c2bea28e4fb22787139165efba91f90f8aa5814a503ad4eb04a8c7dd22ce2826'
+  ),
+  b: BigInt(
+    '0x04a8c7dd22ce28268b39b55416f0447c2fb77de107dcd2a62e880ea53eeb62d57cb4390295dbc9943ab78696fa504c11'
+  ),
+  n: BigInt(
+    '0x8cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b31f166e6cac0425a7cf3ab6af6b7fc3103b883202e9046565'
+  ),
+  Gx: BigInt(
+    '0x1d1c64f068cf45ffa2a63a81b7c13f6b8847a3e77ef14fe3db7fcafe0cbd10e8e826e03436d646aaef87b2e247d4af1e'
+  ),
+  Gy: BigInt(
+    '0x8abe1d7520f9c2a45cb1eb8e95cfd55262b70b29feec5864e19c054ff99129280e4646217791811142820341263c5315'
+  ),
+  h: BigInt(1),
+};
+/** Brainpool P384r1 with sha384, from RFC 5639. */
+export const brainpoolP384r1: ECDSA = ecdsa(weierstrass(brainpoolP384r1_CURVE), sha384);
 
-/**
- * @deprecated
- */
-export const pallas: WCurveFn = weierstrass({
-  a: BigInt(0),
-  b: BigInt(5),
-  Fp: Field(pasta_p),
-  n: pasta_q,
-  Gx: mod(BigInt(-1), pasta_p),
-  Gy: BigInt(2),
+const brainpoolP512r1_CURVE: WeierstrassOpts<bigint> = {
+  p: BigInt(
+    '0xaadd9db8dbe9c48b3fd4e6ae33c9fc07cb308db3b3c9d20ed6639cca703308717d4d9b009bc66842aecda12ae6a380e62881ff2f2d82c68528aa6056583a48f3'
+  ),
+  a: BigInt(
+    '0x7830a3318b603b89e2327145ac234cc594cbdd8d3df91610a83441caea9863bc2ded5d5aa8253aa10a2ef1c98b9ac8b57f1117a72bf2c7b9e7c1ac4d77fc94ca'
+  ),
+  b: BigInt(
+    '0x3df91610a83441caea9863bc2ded5d5aa8253aa10a2ef1c98b9ac8b57f1117a72bf2c7b9e7c1ac4d77fc94cadc083e67984050b75ebae5dd2809bd638016f723'
+  ),
+  n: BigInt(
+    '0xaadd9db8dbe9c48b3fd4e6ae33c9fc07cb308db3b3c9d20ed6639cca70330870553e5c414ca92619418661197fac10471db1d381085ddaddb58796829ca90069'
+  ),
+  Gx: BigInt(
+    '0x81aee4bdd82ed9645a21322e9c4c6a9385ed9f70b5d916c1b43b62eef4d0098eff3b1f78e2d0d48d50d1687b93b97d5f7c6d5047406a5e688b352209bcb9f822'
+  ),
+  Gy: BigInt(
+    '0x7dde385d566332ecc0eabfa9cf7822fdf209f70024a57b1aa000c55b881f8111b2dcde494a5f485e5bca4bd88a2763aed1ca2b2fa8f0540678cd1e0f3ad80892'
+  ),
   h: BigInt(1),
-  hash: sha256,
-});
-/**
- * @deprecated
- */
-export const vesta: WCurveFn = weierstrass({
-  a: BigInt(0),
-  b: BigInt(5),
-  Fp: Field(pasta_q),
-  n: pasta_p,
-  Gx: mod(BigInt(-1), pasta_q),
-  Gy: BigInt(2),
-  h: BigInt(1),
-  hash: sha256,
-});
+};
+/** Brainpool P521r1 with sha512, from RFC 5639. */
+export const brainpoolP512r1: ECDSA = ecdsa(weierstrass(brainpoolP512r1_CURVE), sha512);

src/nist.ts

@@ -8,7 +8,10 @@ /**
 import { sha256, sha384, sha512 } from '@noble/hashes/sha2.js';
-import { createCurve, type CurveFnWithCreate } from './_shortw_utils.ts';
 import { createHasher, type H2CHasher } from './abstract/hash-to-curve.ts';
 import { Field } from './abstract/modular.ts';
+import { createORPF, type OPRF } from './abstract/oprf.ts';
 import {
+  ecdsa,
   mapToCurveSimpleSWU,
+  weierstrass,
+  type ECDSA,
   type WeierstrassOpts,
@@ -76,5 +79,2 @@ type WeierstrassPointCons,
 
-const Fp256 = Field(p256_CURVE.p);
-const Fp384 = Field(p384_CURVE.p);
-const Fp521 = Field(p521_CURVE.p);
 type SwuOpts = {
@@ -91,14 +91,13 @@ A: bigint;
 /** NIST P256 (aka secp256r1, prime256v1) curve, ECDSA and ECDH methods. */
-export const p256: CurveFnWithCreate = createCurve(
-  { ...p256_CURVE, Fp: Fp256, lowS: false },
-  sha256
-);
+
+const p256_Point = /* @__PURE__ */ weierstrass(p256_CURVE);
+export const p256: ECDSA = /* @__PURE__ */ ecdsa(p256_Point, sha256);
 /** Hashing / encoding to p256 points / field. RFC 9380 methods. */
-export const p256_hasher: H2CHasher<bigint> = /* @__PURE__ */ (() => {
+export const p256_hasher: H2CHasher<WeierstrassPointCons<bigint>> = /* @__PURE__ */ (() => {
   return createHasher(
-    p256.Point,
-    createSWU(p256.Point, {
+    p256_Point,
+    createSWU(p256_Point, {
       A: p256_CURVE.a,
       B: p256_CURVE.b,
-      Z: p256.Point.Fp.create(BigInt('-10')),
+      Z: p256_Point.Fp.create(BigInt('-10')),
     }),
@@ -117,23 +116,22 @@ {
 
-// export const p256_oprf: OPRF = createORPF({
-//   name: 'P256-SHA256',
-//   Point: p256.Point,
-//   hash: sha256,
-//   hashToGroup: p256_hasher.hashToCurve,
-//   hashToScalar: p256_hasher.hashToScalar,
-// });
+export const p256_oprf: OPRF = /* @__PURE__ */ (() =>
+  createORPF({
+    name: 'P256-SHA256',
+    Point: p256_Point,
+    hash: sha256,
+    hashToGroup: p256_hasher.hashToCurve,
+    hashToScalar: p256_hasher.hashToScalar,
+  }))();
 
+const p384_Point = /* @__PURE__ */ weierstrass(p384_CURVE);
 /** NIST P384 (aka secp384r1) curve, ECDSA and ECDH methods. */
-export const p384: CurveFnWithCreate = createCurve(
-  { ...p384_CURVE, Fp: Fp384, lowS: false },
-  sha384
-);
+export const p384: ECDSA = /* @__PURE__ */ ecdsa(p384_Point, sha384);
 /** Hashing / encoding to p384 points / field. RFC 9380 methods. */
-export const p384_hasher: H2CHasher<bigint> = /* @__PURE__ */ (() => {
+export const p384_hasher: H2CHasher<WeierstrassPointCons<bigint>> = /* @__PURE__ */ (() => {
   return createHasher(
-    p384.Point,
-    createSWU(p384.Point, {
+    p384_Point,
+    createSWU(p384_Point, {
       A: p384_CURVE.a,
       B: p384_CURVE.b,
-      Z: p384.Point.Fp.create(BigInt('-12')),
+      Z: p384_Point.Fp.create(BigInt('-12')),
     }),
@@ -152,32 +150,24 @@ {
 
-// export const p384_oprf: OPRF = createORPF({
-//   name: 'P384-SHA384',
-//   Point: p384.Point,
-//   hash: sha384,
-//   hashToGroup: p384_hasher.hashToCurve,
-//   hashToScalar: p384_hasher.hashToScalar,
-// });
+export const p384_oprf: OPRF = /* @__PURE__ */ (() =>
+  createORPF({
+    name: 'P384-SHA384',
+    Point: p384_Point,
+    hash: sha384,
+    hashToGroup: p384_hasher.hashToCurve,
+    hashToScalar: p384_hasher.hashToScalar,
+  }))();
 
-// const Fn521 = Field(p521_CURVE.n, { allowedScalarLengths: [65, 66] });
+const Fn521 = /* @__PURE__ */ Field(p521_CURVE.n, { allowedLengths: [65, 66] });
+const p521_Point = /* @__PURE__ */ weierstrass(p521_CURVE, { Fn: Fn521 });
 /** NIST P521 (aka secp521r1) curve, ECDSA and ECDH methods. */
-export const p521: CurveFnWithCreate = createCurve(
-  { ...p521_CURVE, Fp: Fp521, lowS: false, allowedPrivateKeyLengths: [130, 131, 132] },
-  sha512
-);
+export const p521: ECDSA = /* @__PURE__ */ ecdsa(p521_Point, sha512);
 
-/** @deprecated use `p256` for consistency with `p256_hasher` */
-export const secp256r1: typeof p256 = p256;
-/** @deprecated use `p384` for consistency with `p384_hasher` */
-export const secp384r1: typeof p384 = p384;
-/** @deprecated use `p521` for consistency with `p521_hasher` */
-export const secp521r1: typeof p521 = p521;
-
 /** Hashing / encoding to p521 points / field. RFC 9380 methods. */
-export const p521_hasher: H2CHasher<bigint> = /* @__PURE__ */ (() => {
+export const p521_hasher: H2CHasher<WeierstrassPointCons<bigint>> = /* @__PURE__ */ (() => {
   return createHasher(
-    p521.Point,
-    createSWU(p521.Point, {
+    p521_Point,
+    createSWU(p521_Point, {
       A: p521_CURVE.a,
       B: p521_CURVE.b,
-      Z: p521.Point.Fp.create(BigInt('-4')),
+      Z: p521_Point.Fp.create(BigInt('-4')),
     }),
@@ -196,8 +186,9 @@ {
 
-// export const p521_oprf: OPRF = createORPF({
-//   name: 'P521-SHA512',
-//   Point: p521.Point,
-//   hash: sha512,
-//   hashToGroup: p521_hasher.hashToCurve,
-//   hashToScalar: p521_hasher.hashToScalar, // produces L=98 just like in RFC
-// });
+export const p521_oprf: OPRF = /* @__PURE__ */ (() =>
+  createORPF({
+    name: 'P521-SHA512',
+    Point: p521_Point,
+    hash: sha512,
+    hashToGroup: p521_hasher.hashToCurve,
+    hashToScalar: p521_hasher.hashToScalar, // produces L=98 just like in RFC
+  }))();

src/secp256k1.ts

@@ -11,31 +11,19 @@ /**
 import { randomBytes } from '@noble/hashes/utils.js';
-import { createCurve, type CurveFnWithCreate } from './_shortw_utils.ts';
 import type { CurveLengths } from './abstract/curve.ts';
+import { createHasher, type H2CHasher, isogenyMap } from './abstract/hash-to-curve.ts';
+import { Field, mapHashToField, pow2 } from './abstract/modular.ts';
 import {
-  createHasher,
-  type H2CHasher,
-  type H2CMethod,
-  isogenyMap,
-} from './abstract/hash-to-curve.ts';
-import { Field, mapHashToField, mod, pow2 } from './abstract/modular.ts';
-import {
-  _normFnElement,
+  type ECDSA,
+  ecdsa,
   type EndomorphismOpts,
   mapToCurveSimpleSWU,
   type WeierstrassPoint as PointType,
+  weierstrass,
   type WeierstrassOpts,
   type WeierstrassPointCons,
 } from './abstract/weierstrass.ts';
-import type { Hex, PrivKey } from './utils.ts';
-import {
-  bytesToNumberBE,
-  concatBytes,
-  ensureBytes,
-  inRange,
-  numberToBytesBE,
-  utf8ToBytes,
-} from './utils.ts';
+import { abytes, asciiToBytes, bytesToNumberBE, concatBytes, inRange } from './utils.ts';
 
 // Seems like generator was produced from some seed:
-// `Point.BASE.multiply(Point.Fn.inv(2n, N)).toAffine().x`
+// `Pointk1.BASE.multiply(Pointk1.Fn.inv(2n, N)).toAffine().x`
 // // gives short x 0x3b78ce563f89a0ed9414f5aa28ad0d96d6795f9c63n
@@ -93,2 +81,6 @@ const secp256k1_CURVE: WeierstrassOpts<bigint> = {
 const Fpk1 = Field(secp256k1_CURVE.p, { sqrt: sqrtMod });
+const Pointk1 = /* @__PURE__ */ weierstrass(secp256k1_CURVE, {
+  Fp: Fpk1,
+  endo: secp256k1_ENDO,
+});
 
@@ -109,7 +101,5 @@ /**
  */
-export const secp256k1: CurveFnWithCreate = createCurve(
-  { ...secp256k1_CURVE, Fp: Fpk1, lowS: true, endo: secp256k1_ENDO },
-  sha256
-);
 
+export const secp256k1: ECDSA = /* @__PURE__ */ ecdsa(Pointk1, sha256);
+
 // Schnorr signatures are superior to ECDSA from above. Below is Schnorr-specific BIP0340 code.
@@ -122,3 +112,3 @@ // https://github.com/bitcoin/bips/blob/master/bip-0340.mediawiki
   if (tagP === undefined) {
-    const tagH = sha256(utf8ToBytes(tag));
+    const tagH = sha256(asciiToBytes(tag));
     tagP = concatBytes(tagH, tagH);
@@ -132,9 +122,8 @@ TAGGED_HASH_PREFIXES[tag] = tagP;
 const pointToBytes = (point: PointType<bigint>) => point.toBytes(true).slice(1);
-const Pointk1 = /* @__PURE__ */ (() => secp256k1.Point)();
 const hasEven = (y: bigint) => y % _2n === _0n;
 
 // Calculate point, scalar and bytes
-function schnorrGetExtPubKey(priv: PrivKey) {
+function schnorrGetExtPubKey(priv: Uint8Array) {
   const { Fn, BASE } = Pointk1;
-  const d_ = _normFnElement(Fn, priv);
+  const d_ = Fn.fromBytes(priv);
   const p = BASE.multiply(d_); // P = d'⋅G; 0 < d' < n check is done inside
@@ -172,3 +161,3 @@ const scalar = hasEven(p.y) ? d_ : Fn.neg(d_);
  */
-function schnorrGetPublicKey(secretKey: Hex): Uint8Array {
+function schnorrGetPublicKey(secretKey: Uint8Array): Uint8Array {
   return schnorrGetExtPubKey(secretKey).bytes; // d'=int(sk). Fail if d'=0 or d'≥n. Ret bytes(d'⋅G)
@@ -181,7 +170,11 @@ }
  */
-function schnorrSign(message: Hex, secretKey: PrivKey, auxRand: Hex = randomBytes(32)): Uint8Array {
+function schnorrSign(
+  message: Uint8Array,
+  secretKey: Uint8Array,
+  auxRand: Uint8Array = randomBytes(32)
+): Uint8Array {
   const { Fn } = Pointk1;
-  const m = ensureBytes('message', message);
+  const m = abytes(message, undefined, 'message');
   const { bytes: px, scalar: d } = schnorrGetExtPubKey(secretKey); // checks for isWithinCurveOrder
-  const a = ensureBytes('auxRand', auxRand, 32); // Auxiliary random data a: a 32-byte array
+  const a = abytes(auxRand, 32, 'auxRand'); // Auxiliary random data a: a 32-byte array
   const t = Fn.toBytes(d ^ num(taggedHash('BIP0340/aux', a))); // Let t be the byte-wise xor of bytes(d) and hash/aux(a)
@@ -204,7 +197,7 @@ const rand = taggedHash('BIP0340/nonce', t, px, m); // Let rand = hash/nonce(t || bytes(P) || m)
  */
-function schnorrVerify(signature: Hex, message: Hex, publicKey: Hex): boolean {
+function schnorrVerify(signature: Uint8Array, message: Uint8Array, publicKey: Uint8Array): boolean {
   const { Fn, BASE } = Pointk1;
-  const sig = ensureBytes('signature', signature, 64);
-  const m = ensureBytes('message', message);
-  const pub = ensureBytes('publicKey', publicKey, 32);
+  const sig = abytes(signature, 64, 'signature');
+  const m = abytes(message, undefined, 'message');
+  const pub = abytes(publicKey, 32, 'publicKey');
   try {
@@ -216,4 +209,3 @@ const P = lift_x(num(pub)); // P = lift_x(int(pk)); fail if that fails
     if (!inRange(s, _1n, secp256k1_CURVE.n)) return false;
-    // int(challenge(bytes(r)||bytes(P)||m))%n
-    const e = challenge(Fn.toBytes(r), pointToBytes(P), m);
+    const e = challenge(Fn.toBytes(r), pointToBytes(P), m); // int(challenge(bytes(r)||bytes(P)||m))%n
     // R = s⋅G - e⋅P, where -eP == (n-e)P
@@ -241,11 +233,2 @@ const R = BASE.multiplyUnsafe(s).add(P.multiplyUnsafe(Fn.neg(e)));
     taggedHash: typeof taggedHash;
-
-    /** @deprecated use `randomSecretKey` */
-    randomPrivateKey: (seed?: Uint8Array) => Uint8Array;
-    /** @deprecated use `utils` */
-    numberToBytesBE: typeof numberToBytesBE;
-    /** @deprecated use `utils` */
-    bytesToNumberBE: typeof bytesToNumberBE;
-    /** @deprecated use `modular` */
-    mod: typeof mod;
   };
@@ -273,4 +256,2 @@ lengths: CurveLengths;
   };
-  // TODO: remove
-  secp256k1.utils.randomSecretKey;
   function keygen(seed?: Uint8Array) {
@@ -287,12 +268,6 @@ const secretKey = randomSecretKey(seed);
     utils: {
-      randomSecretKey: randomSecretKey,
-      randomPrivateKey: randomSecretKey,
+      randomSecretKey,
       taggedHash,
-
-      // TODO: remove
       lift_x,
       pointToBytes,
-      numberToBytesBE,
-      bytesToNumberBE,
-      mod,
     },
@@ -350,5 +325,5 @@ lengths: {
 /** Hashing / encoding to secp256k1 points / field. RFC 9380 methods. */
-export const secp256k1_hasher: H2CHasher<bigint> = /* @__PURE__ */ (() =>
+export const secp256k1_hasher: H2CHasher<WeierstrassPointCons<bigint>> = /* @__PURE__ */ (() =>
   createHasher(
-    secp256k1.Point,
+    Pointk1,
     (scalars: bigint[]) => {
@@ -368,9 +343,1 @@ const { x, y } = mapSWU(Fpk1.create(scalars[0]));
   ))();
-
-/** @deprecated use `import { secp256k1_hasher } from '@noble/curves/secp256k1.js';` */
-export const hashToCurve: H2CMethod<bigint> = /* @__PURE__ */ (() =>
-  secp256k1_hasher.hashToCurve)();
-
-/** @deprecated use `import { secp256k1_hasher } from '@noble/curves/secp256k1.js';` */
-export const encodeToCurve: H2CMethod<bigint> = /* @__PURE__ */ (() =>
-  secp256k1_hasher.encodeToCurve)();

src/utils.ts

@@ -8,2 +8,3 @@ /**
   abytes as abytes_,
+  anumber,
   bytesToHex as bytesToHex_,
@@ -23,10 +24,9 @@ concatBytes as concatBytes_,
   randomBytes,
-  utf8ToBytes,
+  utf8ToBytes
 } from '@noble/hashes/utils.js';
 const _0n = /* @__PURE__ */ BigInt(0);
 const _1n = /* @__PURE__ */ BigInt(1);
-export type Hex = Uint8Array | string; // hex strings are accepted for simplicity
-export type PrivKey = Hex | bigint; // bigints are accepted to ease learning curve
+
 export type CHash = {
-  (message: Uint8Array | string): Uint8Array;
+  (message: Uint8Array): Uint8Array;
   blockLen: number;
@@ -36,10 +36,4 @@ outputLen: number;
 };
-export type FHash = (message: Uint8Array | string) => Uint8Array;
-
-export function abool(title: string, value: boolean): void {
-  if (typeof value !== 'boolean') throw new Error(title + ' boolean expected, got ' + value);
-}
-
-// tmp name until v2
-export function _abool2(value: boolean, title: string = ''): boolean {
+export type FHash = (message: Uint8Array) => Uint8Array;
+export function abool(value: boolean, title: string = ''): boolean {
   if (typeof value !== 'boolean') {
@@ -52,20 +46,12 @@ const prefix = title && `"${title}"`;
 
-// tmp name until v2
-/** Asserts something is Uint8Array. */
-export function _abytes2(value: Uint8Array, length?: number, title: string = ''): Uint8Array {
-  const bytes = isBytes_(value);
-  const len = value?.length;
-  const needsLen = length !== undefined;
-  if (!bytes || (needsLen && len !== length)) {
-    const prefix = title && `"${title}" `;
-    const ofLen = needsLen ? ` of length ${length}` : '';
-    const got = bytes ? `length=${len}` : `type=${typeof value}`;
-    throw new Error(prefix + 'expected Uint8Array' + ofLen + ', got ' + got);
-  }
-  return value;
+// Used in weierstrass, der
+function abignumer(n: number | bigint) {
+  if (typeof n === 'bigint') {
+    if (!isPosBig(n)) throw new Error('positive bigint expected, got ' + n);
+  } else anumber(n);
+  return n;
 }
 
-// Used in weierstrass, der
 export function numberToHexUnpadded(num: number | bigint): string {
-  const hex = num.toString(16);
+  const hex = abignumer(num).toString(16);
   return hex.length & 1 ? '0' + hex : hex;
@@ -84,8 +70,11 @@ }
 export function bytesToNumberLE(bytes: Uint8Array): bigint {
-  abytes_(bytes);
-  return hexToNumber(bytesToHex_(Uint8Array.from(bytes).reverse()));
+  return hexToNumber(bytesToHex_(copyBytes(abytes_(bytes)).reverse()));
 }
 
 export function numberToBytesBE(n: number | bigint, len: number): Uint8Array {
-  return hexToBytes_(n.toString(16).padStart(len * 2, '0'));
+  anumber(len);
+  n = abignumer(n);
+  const res = hexToBytes_(n.toString(16).padStart(len * 2, '0'));
+  if (res.length !== len) throw new Error('number too large');
+  return res;
 }
@@ -97,35 +86,5 @@ export function numberToBytesLE(n: number | bigint, len: number): Uint8Array {
 export function numberToVarBytesBE(n: number | bigint): Uint8Array {
-  return hexToBytes_(numberToHexUnpadded(n));
+  return hexToBytes_(numberToHexUnpadded(abignumer(n)));
 }
 
-/**
- * Takes hex string or Uint8Array, converts to Uint8Array.
- * Validates output length.
- * Will throw error for other types.
- * @param title descriptive title for an error e.g. 'secret key'
- * @param hex hex string or Uint8Array
- * @param expectedLength optional, will compare to result array's length
- * @returns
- */
-export function ensureBytes(title: string, hex: Hex, expectedLength?: number): Uint8Array {
-  let res: Uint8Array;
-  if (typeof hex === 'string') {
-    try {
-      res = hexToBytes_(hex);
-    } catch (e) {
-      throw new Error(title + ' must be hex string or Uint8Array, cause: ' + e);
-    }
-  } else if (isBytes_(hex)) {
-    // Uint8Array.from() instead of hash.slice() because node.js Buffer
-    // is instance of Uint8Array, and its slice() creates **mutable** copy
-    res = Uint8Array.from(hex);
-  } else {
-    throw new Error(title + ' must be hex string or Uint8Array');
-  }
-  const len = res.length;
-  if (typeof expectedLength === 'number' && len !== expectedLength)
-    throw new Error(title + ' of length ' + expectedLength + ' expected, got ' + len);
-  return res;
-}
-
 // Compares 2 u8a-s in kinda constant time
@@ -138,2 +97,3 @@ export function equalBytes(a: Uint8Array, b: Uint8Array): boolean {
 }
+
 /**
@@ -384,1 +344,21 @@ * Copies Uint8Array. We can't use u8a.slice(), because u8a can be Buffer,
 }
+
+export interface CryptoKeys {
+  lengths: { seed?: number; public?: number; secret?: number };
+  keygen: (seed?: Uint8Array) => { secretKey: Uint8Array; publicKey: Uint8Array };
+  getPublicKey: (secretKey: Uint8Array) => Uint8Array;
+}
+
+/** Generic interface for signatures. Has keygen, sign and verify. */
+export interface Signer extends CryptoKeys {
+  // Interfaces are fun. We cannot just add new fields without copying old ones.
+  lengths: {
+    seed?: number;
+    public?: number;
+    secret?: number;
+    signRand?: number;
+    signature?: number;
+  };
+  sign: (msg: Uint8Array, secretKey: Uint8Array) => Uint8Array;
+  verify: (sig: Uint8Array, msg: Uint8Array, publicKey: Uint8Array) => boolean;
+}

utils.d.ts

@@ -1,6 +0,4 @@
-export { abytes, anumber, bytesToHex, bytesToUtf8, concatBytes, hexToBytes, isBytes, randomBytes, utf8ToBytes, } from '@noble/hashes/utils.js';
-export type Hex = Uint8Array | string;
-export type PrivKey = Hex | bigint;
+export { abytes, anumber, bytesToHex, bytesToUtf8, concatBytes, hexToBytes, isBytes, randomBytes, utf8ToBytes } from '@noble/hashes/utils.js';
 export type CHash = {
-    (message: Uint8Array | string): Uint8Array;
+    (message: Uint8Array): Uint8Array;
     blockLen: number;
@@ -12,7 +10,4 @@ outputLen: number;
 };
-export type FHash = (message: Uint8Array | string) => Uint8Array;
-export declare function abool(title: string, value: boolean): void;
-export declare function _abool2(value: boolean, title?: string): boolean;
-/** Asserts something is Uint8Array. */
-export declare function _abytes2(value: Uint8Array, length?: number, title?: string): Uint8Array;
+export type FHash = (message: Uint8Array) => Uint8Array;
+export declare function abool(value: boolean, title?: string): boolean;
 export declare function numberToHexUnpadded(num: number | bigint): string;
@@ -25,12 +20,2 @@ export declare function hexToNumber(hex: string): bigint;
 export declare function numberToVarBytesBE(n: number | bigint): Uint8Array;
-/**
- * Takes hex string or Uint8Array, converts to Uint8Array.
- * Validates output length.
- * Will throw error for other types.
- * @param title descriptive title for an error e.g. 'secret key'
- * @param hex hex string or Uint8Array
- * @param expectedLength optional, will compare to result array's length
- * @returns
- */
-export declare function ensureBytes(title: string, hex: Hex, expectedLength?: number): Uint8Array;
 export declare function equalBytes(a: Uint8Array, b: Uint8Array): boolean;
@@ -112,2 +97,26 @@ /**
 export declare function memoized<T extends object, R, O extends any[]>(fn: (arg: T, ...args: O) => R): (arg: T, ...args: O) => R;
+export interface CryptoKeys {
+    lengths: {
+        seed?: number;
+        public?: number;
+        secret?: number;
+    };
+    keygen: (seed?: Uint8Array) => {
+        secretKey: Uint8Array;
+        publicKey: Uint8Array;
+    };
+    getPublicKey: (secretKey: Uint8Array) => Uint8Array;
+}
+/** Generic interface for signatures. Has keygen, sign and verify. */
+export interface Signer extends CryptoKeys {
+    lengths: {
+        seed?: number;
+        public?: number;
+        secret?: number;
+        signRand?: number;
+        signature?: number;
+    };
+    sign: (msg: Uint8Array, secretKey: Uint8Array) => Uint8Array;
+    verify: (sig: Uint8Array, msg: Uint8Array, publicKey: Uint8Array) => boolean;
+}
 //# sourceMappingURL=utils.d.ts.map

utils.d.ts.map

@@ -1,1 +0,1 @@
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utils.js

@@ -1,28 +0,1 @@
-"use strict";
-Object.defineProperty(exports, "__esModule", { value: true });
-exports.notImplemented = exports.bitMask = exports.utf8ToBytes = exports.randomBytes = exports.isBytes = exports.hexToBytes = exports.concatBytes = exports.bytesToUtf8 = exports.bytesToHex = exports.anumber = exports.abytes = void 0;
-exports.abool = abool;
-exports._abool2 = _abool2;
-exports._abytes2 = _abytes2;
-exports.numberToHexUnpadded = numberToHexUnpadded;
-exports.hexToNumber = hexToNumber;
-exports.bytesToNumberBE = bytesToNumberBE;
-exports.bytesToNumberLE = bytesToNumberLE;
-exports.numberToBytesBE = numberToBytesBE;
-exports.numberToBytesLE = numberToBytesLE;
-exports.numberToVarBytesBE = numberToVarBytesBE;
-exports.ensureBytes = ensureBytes;
-exports.equalBytes = equalBytes;
-exports.copyBytes = copyBytes;
-exports.asciiToBytes = asciiToBytes;
-exports.inRange = inRange;
-exports.aInRange = aInRange;
-exports.bitLen = bitLen;
-exports.bitGet = bitGet;
-exports.bitSet = bitSet;
-exports.createHmacDrbg = createHmacDrbg;
-exports.validateObject = validateObject;
-exports.isHash = isHash;
-exports._validateObject = _validateObject;
-exports.memoized = memoized;
 /**
@@ -33,21 +6,7 @@ * Hex, bytes and number utilities.
 /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-const utils_js_1 = require("@noble/hashes/utils.js");
-var utils_js_2 = require("@noble/hashes/utils.js");
-Object.defineProperty(exports, "abytes", { enumerable: true, get: function () { return utils_js_2.abytes; } });
-Object.defineProperty(exports, "anumber", { enumerable: true, get: function () { return utils_js_2.anumber; } });
-Object.defineProperty(exports, "bytesToHex", { enumerable: true, get: function () { return utils_js_2.bytesToHex; } });
-Object.defineProperty(exports, "bytesToUtf8", { enumerable: true, get: function () { return utils_js_2.bytesToUtf8; } });
-Object.defineProperty(exports, "concatBytes", { enumerable: true, get: function () { return utils_js_2.concatBytes; } });
-Object.defineProperty(exports, "hexToBytes", { enumerable: true, get: function () { return utils_js_2.hexToBytes; } });
-Object.defineProperty(exports, "isBytes", { enumerable: true, get: function () { return utils_js_2.isBytes; } });
-Object.defineProperty(exports, "randomBytes", { enumerable: true, get: function () { return utils_js_2.randomBytes; } });
-Object.defineProperty(exports, "utf8ToBytes", { enumerable: true, get: function () { return utils_js_2.utf8ToBytes; } });
+import { abytes as abytes_, anumber, bytesToHex as bytesToHex_, concatBytes as concatBytes_, hexToBytes as hexToBytes_, isBytes as isBytes_, } from '@noble/hashes/utils.js';
+export { abytes, anumber, bytesToHex, bytesToUtf8, concatBytes, hexToBytes, isBytes, randomBytes, utf8ToBytes } from '@noble/hashes/utils.js';
 const _0n = /* @__PURE__ */ BigInt(0);
 const _1n = /* @__PURE__ */ BigInt(1);
-function abool(title, value) {
-    if (typeof value !== 'boolean')
-        throw new Error(title + ' boolean expected, got ' + value);
-}
-// tmp name until v2
-function _abool2(value, title = '') {
+export function abool(value, title = '') {
     if (typeof value !== 'boolean') {
@@ -59,22 +18,17 @@ const prefix = title && `"${title}"`;
 }
-// tmp name until v2
-/** Asserts something is Uint8Array. */
-function _abytes2(value, length, title = '') {
-    const bytes = (0, utils_js_1.isBytes)(value);
-    const len = value?.length;
-    const needsLen = length !== undefined;
-    if (!bytes || (needsLen && len !== length)) {
-        const prefix = title && `"${title}" `;
-        const ofLen = needsLen ? ` of length ${length}` : '';
-        const got = bytes ? `length=${len}` : `type=${typeof value}`;
-        throw new Error(prefix + 'expected Uint8Array' + ofLen + ', got ' + got);
+// Used in weierstrass, der
+function abignumer(n) {
+    if (typeof n === 'bigint') {
+        if (!isPosBig(n))
+            throw new Error('positive bigint expected, got ' + n);
     }
-    return value;
+    else
+        anumber(n);
+    return n;
 }
-// Used in weierstrass, der
-function numberToHexUnpadded(num) {
-    const hex = num.toString(16);
+export function numberToHexUnpadded(num) {
+    const hex = abignumer(num).toString(16);
     return hex.length & 1 ? '0' + hex : hex;
 }
-function hexToNumber(hex) {
+export function hexToNumber(hex) {
     if (typeof hex !== 'string')
@@ -85,53 +39,25 @@ throw new Error('hex string expected, got ' + typeof hex);
 // BE: Big Endian, LE: Little Endian
-function bytesToNumberBE(bytes) {
-    return hexToNumber((0, utils_js_1.bytesToHex)(bytes));
+export function bytesToNumberBE(bytes) {
+    return hexToNumber(bytesToHex_(bytes));
 }
-function bytesToNumberLE(bytes) {
-    (0, utils_js_1.abytes)(bytes);
-    return hexToNumber((0, utils_js_1.bytesToHex)(Uint8Array.from(bytes).reverse()));
+export function bytesToNumberLE(bytes) {
+    return hexToNumber(bytesToHex_(copyBytes(abytes_(bytes)).reverse()));
 }
-function numberToBytesBE(n, len) {
-    return (0, utils_js_1.hexToBytes)(n.toString(16).padStart(len * 2, '0'));
+export function numberToBytesBE(n, len) {
+    anumber(len);
+    n = abignumer(n);
+    const res = hexToBytes_(n.toString(16).padStart(len * 2, '0'));
+    if (res.length !== len)
+        throw new Error('number too large');
+    return res;
 }
-function numberToBytesLE(n, len) {
+export function numberToBytesLE(n, len) {
     return numberToBytesBE(n, len).reverse();
 }
 // Unpadded, rarely used
-function numberToVarBytesBE(n) {
-    return (0, utils_js_1.hexToBytes)(numberToHexUnpadded(n));
+export function numberToVarBytesBE(n) {
+    return hexToBytes_(numberToHexUnpadded(abignumer(n)));
 }
-/**
- * Takes hex string or Uint8Array, converts to Uint8Array.
- * Validates output length.
- * Will throw error for other types.
- * @param title descriptive title for an error e.g. 'secret key'
- * @param hex hex string or Uint8Array
- * @param expectedLength optional, will compare to result array's length
- * @returns
- */
-function ensureBytes(title, hex, expectedLength) {
-    let res;
-    if (typeof hex === 'string') {
-        try {
-            res = (0, utils_js_1.hexToBytes)(hex);
-        }
-        catch (e) {
-            throw new Error(title + ' must be hex string or Uint8Array, cause: ' + e);
-        }
-    }
-    else if ((0, utils_js_1.isBytes)(hex)) {
-        // Uint8Array.from() instead of hash.slice() because node.js Buffer
-        // is instance of Uint8Array, and its slice() creates **mutable** copy
-        res = Uint8Array.from(hex);
-    }
-    else {
-        throw new Error(title + ' must be hex string or Uint8Array');
-    }
-    const len = res.length;
-    if (typeof expectedLength === 'number' && len !== expectedLength)
-        throw new Error(title + ' of length ' + expectedLength + ' expected, got ' + len);
-    return res;
-}
 // Compares 2 u8a-s in kinda constant time
-function equalBytes(a, b) {
+export function equalBytes(a, b) {
     if (a.length !== b.length)
@@ -148,3 +74,3 @@ return false;
  */
-function copyBytes(bytes) {
+export function copyBytes(bytes) {
     return Uint8Array.from(bytes);
@@ -157,3 +83,3 @@ }
  */
-function asciiToBytes(ascii) {
+export function asciiToBytes(ascii) {
     return Uint8Array.from(ascii, (c, i) => {
@@ -178,3 +104,3 @@ const charCode = c.charCodeAt(0);
 const isPosBig = (n) => typeof n === 'bigint' && _0n <= n;
-function inRange(n, min, max) {
+export function inRange(n, min, max) {
     return isPosBig(n) && isPosBig(min) && isPosBig(max) && min <= n && n < max;
@@ -187,3 +113,3 @@ }
  */
-function aInRange(title, n, min, max) {
+export function aInRange(title, n, min, max) {
     // Why min <= n < max and not a (min < n < max) OR b (min <= n <= max)?
@@ -203,3 +129,3 @@ // consider P=256n, min=0n, max=P
  */
-function bitLen(n) {
+export function bitLen(n) {
     let len;
@@ -215,3 +141,3 @@ for (len = 0; n > _0n; n >>= _1n, len += 1)
  */
-function bitGet(n, pos) {
+export function bitGet(n, pos) {
     return (n >> BigInt(pos)) & _1n;
@@ -222,3 +148,3 @@ }
  */
-function bitSet(n, pos, value) {
+export function bitSet(n, pos, value) {
     return n | ((value ? _1n : _0n) << BigInt(pos));
@@ -230,4 +156,3 @@ }
  */
-const bitMask = (n) => (_1n << BigInt(n)) - _1n;
-exports.bitMask = bitMask;
+export const bitMask = (n) => (_1n << BigInt(n)) - _1n;
 /**
@@ -240,3 +165,3 @@ * Minimal HMAC-DRBG from NIST 800-90 for RFC6979 sigs.
  */
-function createHmacDrbg(hashLen, qByteLen, hmacFn) {
+export function createHmacDrbg(hashLen, qByteLen, hmacFn) {
     if (typeof hashLen !== 'number' || hashLen < 2)
@@ -281,3 +206,3 @@ throw new Error('hashLen must be a number');
         }
-        return (0, utils_js_1.concatBytes)(...out);
+        return concatBytes_(...out);
     };
@@ -301,3 +226,3 @@ const genUntil = (seed, pred) => {
     string: (val) => typeof val === 'string',
-    stringOrUint8Array: (val) => typeof val === 'string' || (0, utils_js_1.isBytes)(val),
+    stringOrUint8Array: (val) => typeof val === 'string' || isBytes_(val),
     isSafeInteger: (val) => Number.isSafeInteger(val),
@@ -309,3 +234,3 @@ array: (val) => Array.isArray(val),
 // type Record<K extends string | number | symbol, T> = { [P in K]: T; }
-function validateObject(object, validators, optValidators = {}) {
+export function validateObject(object, validators, optValidators = {}) {
     const checkField = (fieldName, type, isOptional) => {
@@ -336,6 +261,6 @@ const checkVal = validatorFns[type];
 // const z4 = validateObject(o, { a: 'boolean', z: 'bug' });
-function isHash(val) {
+export function isHash(val) {
     return typeof val === 'function' && Number.isSafeInteger(val.outputLen);
 }
-function _validateObject(object, fields, optFields = {}) {
+export function _validateObject(object, fields, optFields = {}) {
     if (!object || typeof object !== 'object')
@@ -357,6 +282,5 @@ throw new Error('expected valid options object');
  */
-const notImplemented = () => {
+export const notImplemented = () => {
     throw new Error('not implemented');
 };
-exports.notImplemented = notImplemented;
 /**
@@ -366,3 +290,3 @@ * Memoizes (caches) computation result.
  */
-function memoized(fn) {
+export function memoized(fn) {
     const map = new WeakMap();
@@ -369,0 +293,0 @@ return (arg, ...args) => {

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esm/_shortw_utils.d.ts

-/**
- * Utilities for short weierstrass curves, combined with noble-hashes.
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { type CurveFn, type CurveType } from './abstract/weierstrass.ts';
-import type { CHash } from './utils.ts';
-/** connects noble-curves to noble-hashes */
-export declare function getHash(hash: CHash): {
-    hash: CHash;
-};
-/** Same API as @noble/hashes, with ability to create curve with custom hash */
-export type CurveDef = Readonly<Omit<CurveType, 'hash'>>;
-export type CurveFnWithCreate = CurveFn & {
-    create: (hash: CHash) => CurveFn;
-};
-/** @deprecated use new `weierstrass()` and `ecdsa()` methods */
-export declare function createCurve(curveDef: CurveDef, defHash: CHash): CurveFnWithCreate;
-//# sourceMappingURL=_shortw_utils.d.ts.map

esm/_shortw_utils.d.ts.map

-{"version":3,"file":"_shortw_utils.d.ts","sourceRoot":"","sources":["../src/_shortw_utils.ts"],"names":[],"mappings":"AAAA;;;GAGG;AACH,sEAAsE;AACtE,OAAO,EAAE,KAAK,OAAO,EAAE,KAAK,SAAS,EAAe,MAAM,2BAA2B,CAAC;AACtF,OAAO,KAAK,EAAE,KAAK,EAAE,MAAM,YAAY,CAAC;AAExC,4CAA4C;AAC5C,wBAAgB,OAAO,CAAC,IAAI,EAAE,KAAK,GAAG;IAAE,IAAI,EAAE,KAAK,CAAA;CAAE,CAEpD;AACD,+EAA+E;AAC/E,MAAM,MAAM,QAAQ,GAAG,QAAQ,CAAC,IAAI,CAAC,SAAS,EAAE,MAAM,CAAC,CAAC,CAAC;AACzD,MAAM,MAAM,iBAAiB,GAAG,OAAO,GAAG;IAAE,MAAM,EAAE,CAAC,IAAI,EAAE,KAAK,KAAK,OAAO,CAAA;CAAE,CAAC;AAE/E,gEAAgE;AAChE,wBAAgB,WAAW,CAAC,QAAQ,EAAE,QAAQ,EAAE,OAAO,EAAE,KAAK,GAAG,iBAAiB,CAGjF"}

esm/_shortw_utils.js

-/**
- * Utilities for short weierstrass curves, combined with noble-hashes.
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { weierstrass } from "./abstract/weierstrass.js";
-/** connects noble-curves to noble-hashes */
-export function getHash(hash) {
-    return { hash };
-}
-/** @deprecated use new `weierstrass()` and `ecdsa()` methods */
-export function createCurve(curveDef, defHash) {
-    const create = (hash) => weierstrass({ ...curveDef, hash: hash });
-    return { ...create(defHash), create };
-}
-//# sourceMappingURL=_shortw_utils.js.map

esm/_shortw_utils.js.map

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esm/abstract/bls.d.ts

-/**
- * BLS != BLS.
- * The file implements BLS (Boneh-Lynn-Shacham) signatures.
- * Used in both BLS (Barreto-Lynn-Scott) and BN (Barreto-Naehrig)
- * families of pairing-friendly curves.
- * Consists of two curves: G1 and G2:
- * - G1 is a subgroup of (x, y) E(Fq) over y² = x³ + 4.
- * - G2 is a subgroup of ((x₁, x₂+i), (y₁, y₂+i)) E(Fq²) over y² = x³ + 4(1 + i) where i is √-1
- * - Gt, created by bilinear (ate) pairing e(G1, G2), consists of p-th roots of unity in
- *   Fq^k where k is embedding degree. Only degree 12 is currently supported, 24 is not.
- * Pairing is used to aggregate and verify signatures.
- * There are two modes of operation:
- * - Long signatures:  X-byte keys + 2X-byte sigs (G1 keys + G2 sigs).
- * - Short signatures: 2X-byte keys + X-byte sigs (G2 keys + G1 sigs).
- * @module
- **/
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { type CHash, type Hex, type PrivKey } from '../utils.ts';
-import { type H2CHasher, type H2CHashOpts, type H2COpts, type htfBasicOpts, type MapToCurve } from './hash-to-curve.ts';
-import { type IField } from './modular.ts';
-import type { Fp12, Fp12Bls, Fp2, Fp2Bls, Fp6Bls } from './tower.ts';
-import { type CurvePointsRes, type CurvePointsType, type WeierstrassPoint, type WeierstrassPointCons } from './weierstrass.ts';
-type Fp = bigint;
-export type TwistType = 'multiplicative' | 'divisive';
-export type ShortSignatureCoder<Fp> = {
-    fromBytes(bytes: Uint8Array): WeierstrassPoint<Fp>;
-    fromHex(hex: Hex): WeierstrassPoint<Fp>;
-    toBytes(point: WeierstrassPoint<Fp>): Uint8Array;
-    toHex(point: WeierstrassPoint<Fp>): string;
-    /** @deprecated use `toBytes` */
-    toRawBytes(point: WeierstrassPoint<Fp>): Uint8Array;
-};
-export type SignatureCoder<Fp> = {
-    fromBytes(bytes: Uint8Array): WeierstrassPoint<Fp>;
-    fromHex(hex: Hex): WeierstrassPoint<Fp>;
-    toBytes(point: WeierstrassPoint<Fp>): Uint8Array;
-    toHex(point: WeierstrassPoint<Fp>): string;
-    /** @deprecated use `toBytes` */
-    toRawBytes(point: WeierstrassPoint<Fp>): Uint8Array;
-};
-export type BlsFields = {
-    Fp: IField<Fp>;
-    Fr: IField<bigint>;
-    Fp2: Fp2Bls;
-    Fp6: Fp6Bls;
-    Fp12: Fp12Bls;
-};
-export type PostPrecomputePointAddFn = (Rx: Fp2, Ry: Fp2, Rz: Fp2, Qx: Fp2, Qy: Fp2) => {
-    Rx: Fp2;
-    Ry: Fp2;
-    Rz: Fp2;
-};
-export type PostPrecomputeFn = (Rx: Fp2, Ry: Fp2, Rz: Fp2, Qx: Fp2, Qy: Fp2, pointAdd: PostPrecomputePointAddFn) => void;
-export type BlsPairing = {
-    Fp12: Fp12Bls;
-    calcPairingPrecomputes: (p: WeierstrassPoint<Fp2>) => Precompute;
-    millerLoopBatch: (pairs: [Precompute, Fp, Fp][]) => Fp12;
-    pairing: (P: WeierstrassPoint<Fp>, Q: WeierstrassPoint<Fp2>, withFinalExponent?: boolean) => Fp12;
-    pairingBatch: (pairs: {
-        g1: WeierstrassPoint<Fp>;
-        g2: WeierstrassPoint<Fp2>;
-    }[], withFinalExponent?: boolean) => Fp12;
-};
-export type BlsPairingParams = {
-    ateLoopSize: bigint;
-    xNegative: boolean;
-    twistType: TwistType;
-    postPrecompute?: PostPrecomputeFn;
-};
-export type CurveType = {
-    G1: CurvePointsType<Fp> & {
-        ShortSignature: SignatureCoder<Fp>;
-        mapToCurve: MapToCurve<Fp>;
-        htfDefaults: H2COpts;
-    };
-    G2: CurvePointsType<Fp2> & {
-        Signature: SignatureCoder<Fp2>;
-        mapToCurve: MapToCurve<Fp2>;
-        htfDefaults: H2COpts;
-    };
-    fields: BlsFields;
-    params: {
-        ateLoopSize: BlsPairingParams['ateLoopSize'];
-        xNegative: BlsPairingParams['xNegative'];
-        r: bigint;
-        twistType: BlsPairingParams['twistType'];
-    };
-    htfDefaults: H2COpts;
-    hash: CHash;
-    randomBytes?: (bytesLength?: number) => Uint8Array;
-    postPrecompute?: PostPrecomputeFn;
-};
-type PrecomputeSingle = [Fp2, Fp2, Fp2][];
-type Precompute = PrecomputeSingle[];
-/**
- * BLS consists of two curves: G1 and G2:
- * - G1 is a subgroup of (x, y) E(Fq) over y² = x³ + 4.
- * - G2 is a subgroup of ((x₁, x₂+i), (y₁, y₂+i)) E(Fq²) over y² = x³ + 4(1 + i) where i is √-1
- */
-export interface BLSCurvePair {
-    longSignatures: BLSSigs<bigint, Fp2>;
-    shortSignatures: BLSSigs<Fp2, bigint>;
-    millerLoopBatch: BlsPairing['millerLoopBatch'];
-    pairing: BlsPairing['pairing'];
-    pairingBatch: BlsPairing['pairingBatch'];
-    G1: {
-        Point: WeierstrassPointCons<bigint>;
-    } & H2CHasher<Fp>;
-    G2: {
-        Point: WeierstrassPointCons<Fp2>;
-    } & H2CHasher<Fp2>;
-    fields: {
-        Fp: IField<Fp>;
-        Fp2: Fp2Bls;
-        Fp6: Fp6Bls;
-        Fp12: Fp12Bls;
-        Fr: IField<bigint>;
-    };
-    utils: {
-        randomSecretKey: () => Uint8Array;
-        /** @deprecated use randomSecretKey */
-        randomPrivateKey: () => Uint8Array;
-        calcPairingPrecomputes: BlsPairing['calcPairingPrecomputes'];
-    };
-}
-export type CurveFn = BLSCurvePair & {
-    /** @deprecated use `longSignatures.getPublicKey` */
-    getPublicKey: (secretKey: PrivKey) => Uint8Array;
-    /** @deprecated use `shortSignatures.getPublicKey` */
-    getPublicKeyForShortSignatures: (secretKey: PrivKey) => Uint8Array;
-    /** @deprecated use `longSignatures.sign` */
-    sign: {
-        (message: Hex, secretKey: PrivKey, htfOpts?: htfBasicOpts): Uint8Array;
-        (message: WeierstrassPoint<Fp2>, secretKey: PrivKey, htfOpts?: htfBasicOpts): WeierstrassPoint<Fp2>;
-    };
-    /** @deprecated use `shortSignatures.sign` */
-    signShortSignature: {
-        (message: Hex, secretKey: PrivKey, htfOpts?: htfBasicOpts): Uint8Array;
-        (message: WeierstrassPoint<Fp>, secretKey: PrivKey, htfOpts?: htfBasicOpts): WeierstrassPoint<Fp>;
-    };
-    /** @deprecated use `longSignatures.verify` */
-    verify: (signature: Hex | WeierstrassPoint<Fp2>, message: Hex | WeierstrassPoint<Fp2>, publicKey: Hex | WeierstrassPoint<Fp>, htfOpts?: htfBasicOpts) => boolean;
-    /** @deprecated use `shortSignatures.verify` */
-    verifyShortSignature: (signature: Hex | WeierstrassPoint<Fp>, message: Hex | WeierstrassPoint<Fp>, publicKey: Hex | WeierstrassPoint<Fp2>, htfOpts?: htfBasicOpts) => boolean;
-    verifyBatch: (signature: Hex | WeierstrassPoint<Fp2>, messages: (Hex | WeierstrassPoint<Fp2>)[], publicKeys: (Hex | WeierstrassPoint<Fp>)[], htfOpts?: htfBasicOpts) => boolean;
-    /** @deprecated use `longSignatures.aggregatePublicKeys` */
-    aggregatePublicKeys: {
-        (publicKeys: Hex[]): Uint8Array;
-        (publicKeys: WeierstrassPoint<Fp>[]): WeierstrassPoint<Fp>;
-    };
-    /** @deprecated use `longSignatures.aggregateSignatures` */
-    aggregateSignatures: {
-        (signatures: Hex[]): Uint8Array;
-        (signatures: WeierstrassPoint<Fp2>[]): WeierstrassPoint<Fp2>;
-    };
-    /** @deprecated use `shortSignatures.aggregateSignatures` */
-    aggregateShortSignatures: {
-        (signatures: Hex[]): Uint8Array;
-        (signatures: WeierstrassPoint<Fp>[]): WeierstrassPoint<Fp>;
-    };
-    G1: CurvePointsRes<Fp> & H2CHasher<Fp>;
-    G2: CurvePointsRes<Fp2> & H2CHasher<Fp2>;
-    /** @deprecated use `longSignatures.Signature` */
-    Signature: SignatureCoder<Fp2>;
-    /** @deprecated use `shortSignatures.Signature` */
-    ShortSignature: ShortSignatureCoder<Fp>;
-    params: {
-        ateLoopSize: bigint;
-        r: bigint;
-        twistType: TwistType;
-        /** @deprecated */
-        G1b: bigint;
-        /** @deprecated */
-        G2b: Fp2;
-    };
-};
-type BLSInput = Hex | Uint8Array;
-export interface BLSSigs<P, S> {
-    getPublicKey(secretKey: PrivKey): WeierstrassPoint<P>;
-    sign(hashedMessage: WeierstrassPoint<S>, secretKey: PrivKey): WeierstrassPoint<S>;
-    verify(signature: WeierstrassPoint<S> | BLSInput, message: WeierstrassPoint<S>, publicKey: WeierstrassPoint<P> | BLSInput): boolean;
-    verifyBatch: (signature: WeierstrassPoint<S> | BLSInput, messages: WeierstrassPoint<S>[], publicKeys: (WeierstrassPoint<P> | BLSInput)[]) => boolean;
-    aggregatePublicKeys(publicKeys: (WeierstrassPoint<P> | BLSInput)[]): WeierstrassPoint<P>;
-    aggregateSignatures(signatures: (WeierstrassPoint<S> | BLSInput)[]): WeierstrassPoint<S>;
-    hash(message: Uint8Array, DST?: string | Uint8Array, hashOpts?: H2CHashOpts): WeierstrassPoint<S>;
-    Signature: SignatureCoder<S>;
-}
-export declare function bls(CURVE: CurveType): CurveFn;
-export {};
-//# sourceMappingURL=bls.d.ts.map

esm/abstract/bls.d.ts.map

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esm/abstract/bls.js

-/**
- * BLS != BLS.
- * The file implements BLS (Boneh-Lynn-Shacham) signatures.
- * Used in both BLS (Barreto-Lynn-Scott) and BN (Barreto-Naehrig)
- * families of pairing-friendly curves.
- * Consists of two curves: G1 and G2:
- * - G1 is a subgroup of (x, y) E(Fq) over y² = x³ + 4.
- * - G2 is a subgroup of ((x₁, x₂+i), (y₁, y₂+i)) E(Fq²) over y² = x³ + 4(1 + i) where i is √-1
- * - Gt, created by bilinear (ate) pairing e(G1, G2), consists of p-th roots of unity in
- *   Fq^k where k is embedding degree. Only degree 12 is currently supported, 24 is not.
- * Pairing is used to aggregate and verify signatures.
- * There are two modes of operation:
- * - Long signatures:  X-byte keys + 2X-byte sigs (G1 keys + G2 sigs).
- * - Short signatures: 2X-byte keys + X-byte sigs (G2 keys + G1 sigs).
- * @module
- **/
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { abytes, ensureBytes, memoized, randomBytes, } from "../utils.js";
-import { normalizeZ } from "./curve.js";
-import { createHasher, } from "./hash-to-curve.js";
-import { getMinHashLength, mapHashToField } from "./modular.js";
-import { _normFnElement, weierstrassPoints, } from "./weierstrass.js";
-// prettier-ignore
-const _0n = BigInt(0), _1n = BigInt(1), _2n = BigInt(2), _3n = BigInt(3);
-// Not used with BLS12-381 (no sequential `11` in X). Useful for other curves.
-function NAfDecomposition(a) {
-    const res = [];
-    // a>1 because of marker bit
-    for (; a > _1n; a >>= _1n) {
-        if ((a & _1n) === _0n)
-            res.unshift(0);
-        else if ((a & _3n) === _3n) {
-            res.unshift(-1);
-            a += _1n;
-        }
-        else
-            res.unshift(1);
-    }
-    return res;
-}
-function aNonEmpty(arr) {
-    if (!Array.isArray(arr) || arr.length === 0)
-        throw new Error('expected non-empty array');
-}
-// This should be enough for bn254, no need to export full stuff?
-function createBlsPairing(fields, G1, G2, params) {
-    const { Fp2, Fp12 } = fields;
-    const { twistType, ateLoopSize, xNegative, postPrecompute } = params;
-    // Applies sparse multiplication as line function
-    let lineFunction;
-    if (twistType === 'multiplicative') {
-        lineFunction = (c0, c1, c2, f, Px, Py) => Fp12.mul014(f, c0, Fp2.mul(c1, Px), Fp2.mul(c2, Py));
-    }
-    else if (twistType === 'divisive') {
-        // NOTE: it should be [c0, c1, c2], but we use different order here to reduce complexity of
-        // precompute calculations.
-        lineFunction = (c0, c1, c2, f, Px, Py) => Fp12.mul034(f, Fp2.mul(c2, Py), Fp2.mul(c1, Px), c0);
-    }
-    else
-        throw new Error('bls: unknown twist type');
-    const Fp2div2 = Fp2.div(Fp2.ONE, Fp2.mul(Fp2.ONE, _2n));
-    function pointDouble(ell, Rx, Ry, Rz) {
-        const t0 = Fp2.sqr(Ry); // Ry²
-        const t1 = Fp2.sqr(Rz); // Rz²
-        const t2 = Fp2.mulByB(Fp2.mul(t1, _3n)); // 3 * T1 * B
-        const t3 = Fp2.mul(t2, _3n); // 3 * T2
-        const t4 = Fp2.sub(Fp2.sub(Fp2.sqr(Fp2.add(Ry, Rz)), t1), t0); // (Ry + Rz)² - T1 - T0
-        const c0 = Fp2.sub(t2, t0); // T2 - T0 (i)
-        const c1 = Fp2.mul(Fp2.sqr(Rx), _3n); // 3 * Rx²
-        const c2 = Fp2.neg(t4); // -T4 (-h)
-        ell.push([c0, c1, c2]);
-        Rx = Fp2.mul(Fp2.mul(Fp2.mul(Fp2.sub(t0, t3), Rx), Ry), Fp2div2); // ((T0 - T3) * Rx * Ry) / 2
-        Ry = Fp2.sub(Fp2.sqr(Fp2.mul(Fp2.add(t0, t3), Fp2div2)), Fp2.mul(Fp2.sqr(t2), _3n)); // ((T0 + T3) / 2)² - 3 * T2²
-        Rz = Fp2.mul(t0, t4); // T0 * T4
-        return { Rx, Ry, Rz };
-    }
-    function pointAdd(ell, Rx, Ry, Rz, Qx, Qy) {
-        // Addition
-        const t0 = Fp2.sub(Ry, Fp2.mul(Qy, Rz)); // Ry - Qy * Rz
-        const t1 = Fp2.sub(Rx, Fp2.mul(Qx, Rz)); // Rx - Qx * Rz
-        const c0 = Fp2.sub(Fp2.mul(t0, Qx), Fp2.mul(t1, Qy)); // T0 * Qx - T1 * Qy == Ry * Qx  - Rx * Qy
-        const c1 = Fp2.neg(t0); // -T0 == Qy * Rz - Ry
-        const c2 = t1; // == Rx - Qx * Rz
-        ell.push([c0, c1, c2]);
-        const t2 = Fp2.sqr(t1); // T1²
-        const t3 = Fp2.mul(t2, t1); // T2 * T1
-        const t4 = Fp2.mul(t2, Rx); // T2 * Rx
-        const t5 = Fp2.add(Fp2.sub(t3, Fp2.mul(t4, _2n)), Fp2.mul(Fp2.sqr(t0), Rz)); // T3 - 2 * T4 + T0² * Rz
-        Rx = Fp2.mul(t1, t5); // T1 * T5
-        Ry = Fp2.sub(Fp2.mul(Fp2.sub(t4, t5), t0), Fp2.mul(t3, Ry)); // (T4 - T5) * T0 - T3 * Ry
-        Rz = Fp2.mul(Rz, t3); // Rz * T3
-        return { Rx, Ry, Rz };
-    }
-    // Pre-compute coefficients for sparse multiplication
-    // Point addition and point double calculations is reused for coefficients
-    // pointAdd happens only if bit set, so wNAF is reasonable. Unfortunately we cannot combine
-    // add + double in windowed precomputes here, otherwise it would be single op (since X is static)
-    const ATE_NAF = NAfDecomposition(ateLoopSize);
-    const calcPairingPrecomputes = memoized((point) => {
-        const p = point;
-        const { x, y } = p.toAffine();
-        // prettier-ignore
-        const Qx = x, Qy = y, negQy = Fp2.neg(y);
-        // prettier-ignore
-        let Rx = Qx, Ry = Qy, Rz = Fp2.ONE;
-        const ell = [];
-        for (const bit of ATE_NAF) {
-            const cur = [];
-            ({ Rx, Ry, Rz } = pointDouble(cur, Rx, Ry, Rz));
-            if (bit)
-                ({ Rx, Ry, Rz } = pointAdd(cur, Rx, Ry, Rz, Qx, bit === -1 ? negQy : Qy));
-            ell.push(cur);
-        }
-        if (postPrecompute) {
-            const last = ell[ell.length - 1];
-            postPrecompute(Rx, Ry, Rz, Qx, Qy, pointAdd.bind(null, last));
-        }
-        return ell;
-    });
-    function millerLoopBatch(pairs, withFinalExponent = false) {
-        let f12 = Fp12.ONE;
-        if (pairs.length) {
-            const ellLen = pairs[0][0].length;
-            for (let i = 0; i < ellLen; i++) {
-                f12 = Fp12.sqr(f12); // This allows us to do sqr only one time for all pairings
-                // NOTE: we apply multiple pairings in parallel here
-                for (const [ell, Px, Py] of pairs) {
-                    for (const [c0, c1, c2] of ell[i])
-                        f12 = lineFunction(c0, c1, c2, f12, Px, Py);
-                }
-            }
-        }
-        if (xNegative)
-            f12 = Fp12.conjugate(f12);
-        return withFinalExponent ? Fp12.finalExponentiate(f12) : f12;
-    }
-    // Calculates product of multiple pairings
-    // This up to x2 faster than just `map(({g1, g2})=>pairing({g1,g2}))`
-    function pairingBatch(pairs, withFinalExponent = true) {
-        const res = [];
-        // Cache precomputed toAffine for all points
-        normalizeZ(G1, pairs.map(({ g1 }) => g1));
-        normalizeZ(G2, pairs.map(({ g2 }) => g2));
-        for (const { g1, g2 } of pairs) {
-            if (g1.is0() || g2.is0())
-                throw new Error('pairing is not available for ZERO point');
-            // This uses toAffine inside
-            g1.assertValidity();
-            g2.assertValidity();
-            const Qa = g1.toAffine();
-            res.push([calcPairingPrecomputes(g2), Qa.x, Qa.y]);
-        }
-        return millerLoopBatch(res, withFinalExponent);
-    }
-    // Calculates bilinear pairing
-    function pairing(Q, P, withFinalExponent = true) {
-        return pairingBatch([{ g1: Q, g2: P }], withFinalExponent);
-    }
-    return {
-        Fp12, // NOTE: we re-export Fp12 here because pairing results are Fp12!
-        millerLoopBatch,
-        pairing,
-        pairingBatch,
-        calcPairingPrecomputes,
-    };
-}
-function createBlsSig(blsPairing, PubCurve, SigCurve, SignatureCoder, isSigG1) {
-    const { Fp12, pairingBatch } = blsPairing;
-    function normPub(point) {
-        return point instanceof PubCurve.Point ? point : PubCurve.Point.fromHex(point);
-    }
-    function normSig(point) {
-        return point instanceof SigCurve.Point ? point : SigCurve.Point.fromHex(point);
-    }
-    function amsg(m) {
-        if (!(m instanceof SigCurve.Point))
-            throw new Error(`expected valid message hashed to ${!isSigG1 ? 'G2' : 'G1'} curve`);
-        return m;
-    }
-    // What matters here is what point pairing API accepts as G1 or G2, not actual size or names
-    const pair = !isSigG1
-        ? (a, b) => ({ g1: a, g2: b })
-        : (a, b) => ({ g1: b, g2: a });
-    return {
-        // P = pk x G
-        getPublicKey(secretKey) {
-            // TODO: replace with
-            // const sec = PubCurve.Point.Fn.fromBytes(secretKey);
-            const sec = _normFnElement(PubCurve.Point.Fn, secretKey);
-            return PubCurve.Point.BASE.multiply(sec);
-        },
-        // S = pk x H(m)
-        sign(message, secretKey, unusedArg) {
-            if (unusedArg != null)
-                throw new Error('sign() expects 2 arguments');
-            // TODO: replace with
-            // PubCurve.Point.Fn.fromBytes(secretKey)
-            const sec = _normFnElement(PubCurve.Point.Fn, secretKey);
-            amsg(message).assertValidity();
-            return message.multiply(sec);
-        },
-        // Checks if pairing of public key & hash is equal to pairing of generator & signature.
-        // e(P, H(m)) == e(G, S)
-        // e(S, G) == e(H(m), P)
-        verify(signature, message, publicKey, unusedArg) {
-            if (unusedArg != null)
-                throw new Error('verify() expects 3 arguments');
-            signature = normSig(signature);
-            publicKey = normPub(publicKey);
-            const P = publicKey.negate();
-            const G = PubCurve.Point.BASE;
-            const Hm = amsg(message);
-            const S = signature;
-            // This code was changed in 1.9.x:
-            // Before it was G.negate() in G2, now it's always pubKey.negate
-            // e(P, -Q)===e(-P, Q)==e(P, Q)^-1. Negate can be done anywhere (as long it is done once per pair).
-            // We just moving sign, but since pairing is multiplicative, we doing X * X^-1 = 1
-            const exp = pairingBatch([pair(P, Hm), pair(G, S)]);
-            return Fp12.eql(exp, Fp12.ONE);
-        },
-        // https://ethresear.ch/t/fast-verification-of-multiple-bls-signatures/5407
-        // e(G, S) = e(G, SUM(n)(Si)) = MUL(n)(e(G, Si))
-        // TODO: maybe `{message: G2Hex, publicKey: G1Hex}[]` instead?
-        verifyBatch(signature, messages, publicKeys) {
-            aNonEmpty(messages);
-            if (publicKeys.length !== messages.length)
-                throw new Error('amount of public keys and messages should be equal');
-            const sig = normSig(signature);
-            const nMessages = messages;
-            const nPublicKeys = publicKeys.map(normPub);
-            // NOTE: this works only for exact same object
-            const messagePubKeyMap = new Map();
-            for (let i = 0; i < nPublicKeys.length; i++) {
-                const pub = nPublicKeys[i];
-                const msg = nMessages[i];
-                let keys = messagePubKeyMap.get(msg);
-                if (keys === undefined) {
-                    keys = [];
-                    messagePubKeyMap.set(msg, keys);
-                }
-                keys.push(pub);
-            }
-            const paired = [];
-            const G = PubCurve.Point.BASE;
-            try {
-                for (const [msg, keys] of messagePubKeyMap) {
-                    const groupPublicKey = keys.reduce((acc, msg) => acc.add(msg));
-                    paired.push(pair(groupPublicKey, msg));
-                }
-                paired.push(pair(G.negate(), sig));
-                return Fp12.eql(pairingBatch(paired), Fp12.ONE);
-            }
-            catch {
-                return false;
-            }
-        },
-        // Adds a bunch of public key points together.
-        // pk1 + pk2 + pk3 = pkA
-        aggregatePublicKeys(publicKeys) {
-            aNonEmpty(publicKeys);
-            publicKeys = publicKeys.map((pub) => normPub(pub));
-            const agg = publicKeys.reduce((sum, p) => sum.add(p), PubCurve.Point.ZERO);
-            agg.assertValidity();
-            return agg;
-        },
-        // Adds a bunch of signature points together.
-        // pk1 + pk2 + pk3 = pkA
-        aggregateSignatures(signatures) {
-            aNonEmpty(signatures);
-            signatures = signatures.map((sig) => normSig(sig));
-            const agg = signatures.reduce((sum, s) => sum.add(s), SigCurve.Point.ZERO);
-            agg.assertValidity();
-            return agg;
-        },
-        hash(messageBytes, DST) {
-            abytes(messageBytes);
-            const opts = DST ? { DST } : undefined;
-            return SigCurve.hashToCurve(messageBytes, opts);
-        },
-        Signature: SignatureCoder,
-    };
-}
-// G1_Point: ProjConstructor<bigint>, G2_Point: ProjConstructor<Fp2>,
-export function bls(CURVE) {
-    // Fields are specific for curve, so for now we'll need to pass them with opts
-    const { Fp, Fr, Fp2, Fp6, Fp12 } = CURVE.fields;
-    // Point on G1 curve: (x, y)
-    const G1_ = weierstrassPoints(CURVE.G1);
-    const G1 = Object.assign(G1_, createHasher(G1_.Point, CURVE.G1.mapToCurve, {
-        ...CURVE.htfDefaults,
-        ...CURVE.G1.htfDefaults,
-    }));
-    // Point on G2 curve (complex numbers): (x₁, x₂+i), (y₁, y₂+i)
-    const G2_ = weierstrassPoints(CURVE.G2);
-    const G2 = Object.assign(G2_, createHasher(G2_.Point, CURVE.G2.mapToCurve, {
-        ...CURVE.htfDefaults,
-        ...CURVE.G2.htfDefaults,
-    }));
-    const pairingRes = createBlsPairing(CURVE.fields, G1.Point, G2.Point, {
-        ...CURVE.params,
-        postPrecompute: CURVE.postPrecompute,
-    });
-    const { millerLoopBatch, pairing, pairingBatch, calcPairingPrecomputes } = pairingRes;
-    const longSignatures = createBlsSig(pairingRes, G1, G2, CURVE.G2.Signature, false);
-    const shortSignatures = createBlsSig(pairingRes, G2, G1, CURVE.G1.ShortSignature, true);
-    const rand = CURVE.randomBytes || randomBytes;
-    const randomSecretKey = () => {
-        const length = getMinHashLength(Fr.ORDER);
-        return mapHashToField(rand(length), Fr.ORDER);
-    };
-    const utils = {
-        randomSecretKey,
-        randomPrivateKey: randomSecretKey,
-        calcPairingPrecomputes,
-    };
-    const { ShortSignature } = CURVE.G1;
-    const { Signature } = CURVE.G2;
-    function normP1Hash(point, htfOpts) {
-        return point instanceof G1.Point
-            ? point
-            : shortSignatures.hash(ensureBytes('point', point), htfOpts?.DST);
-    }
-    function normP2Hash(point, htfOpts) {
-        return point instanceof G2.Point
-            ? point
-            : longSignatures.hash(ensureBytes('point', point), htfOpts?.DST);
-    }
-    function getPublicKey(privateKey) {
-        return longSignatures.getPublicKey(privateKey).toBytes(true);
-    }
-    function getPublicKeyForShortSignatures(privateKey) {
-        return shortSignatures.getPublicKey(privateKey).toBytes(true);
-    }
-    function sign(message, privateKey, htfOpts) {
-        const Hm = normP2Hash(message, htfOpts);
-        const S = longSignatures.sign(Hm, privateKey);
-        return message instanceof G2.Point ? S : Signature.toBytes(S);
-    }
-    function signShortSignature(message, privateKey, htfOpts) {
-        const Hm = normP1Hash(message, htfOpts);
-        const S = shortSignatures.sign(Hm, privateKey);
-        return message instanceof G1.Point ? S : ShortSignature.toBytes(S);
-    }
-    function verify(signature, message, publicKey, htfOpts) {
-        const Hm = normP2Hash(message, htfOpts);
-        return longSignatures.verify(signature, Hm, publicKey);
-    }
-    function verifyShortSignature(signature, message, publicKey, htfOpts) {
-        const Hm = normP1Hash(message, htfOpts);
-        return shortSignatures.verify(signature, Hm, publicKey);
-    }
-    function aggregatePublicKeys(publicKeys) {
-        const agg = longSignatures.aggregatePublicKeys(publicKeys);
-        return publicKeys[0] instanceof G1.Point ? agg : agg.toBytes(true);
-    }
-    function aggregateSignatures(signatures) {
-        const agg = longSignatures.aggregateSignatures(signatures);
-        return signatures[0] instanceof G2.Point ? agg : Signature.toBytes(agg);
-    }
-    function aggregateShortSignatures(signatures) {
-        const agg = shortSignatures.aggregateSignatures(signatures);
-        return signatures[0] instanceof G1.Point ? agg : ShortSignature.toBytes(agg);
-    }
-    function verifyBatch(signature, messages, publicKeys, htfOpts) {
-        const Hm = messages.map((m) => normP2Hash(m, htfOpts));
-        return longSignatures.verifyBatch(signature, Hm, publicKeys);
-    }
-    G1.Point.BASE.precompute(4);
-    return {
-        longSignatures,
-        shortSignatures,
-        millerLoopBatch,
-        pairing,
-        pairingBatch,
-        verifyBatch,
-        fields: {
-            Fr,
-            Fp,
-            Fp2,
-            Fp6,
-            Fp12,
-        },
-        params: {
-            ateLoopSize: CURVE.params.ateLoopSize,
-            twistType: CURVE.params.twistType,
-            // deprecated
-            r: CURVE.params.r,
-            G1b: CURVE.G1.b,
-            G2b: CURVE.G2.b,
-        },
-        utils,
-        // deprecated
-        getPublicKey,
-        getPublicKeyForShortSignatures,
-        sign,
-        signShortSignature,
-        verify,
-        verifyShortSignature,
-        aggregatePublicKeys,
-        aggregateSignatures,
-        aggregateShortSignatures,
-        G1,
-        G2,
-        Signature,
-        ShortSignature,
-    };
-}
-//# sourceMappingURL=bls.js.map

esm/abstract/bls.js.map

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esm/abstract/curve.d.ts

-import { type IField } from './modular.ts';
-export type AffinePoint<T> = {
-    x: T;
-    y: T;
-} & {
-    Z?: never;
-};
-export interface Group<T extends Group<T>> {
-    double(): T;
-    negate(): T;
-    add(other: T): T;
-    subtract(other: T): T;
-    equals(other: T): boolean;
-    multiply(scalar: bigint): T;
-    toAffine?(invertedZ?: any): AffinePoint<any>;
-}
-/** Base interface for all elliptic curve Points. */
-export interface CurvePoint<F, P extends CurvePoint<F, P>> extends Group<P> {
-    /** Affine x coordinate. Different from projective / extended X coordinate. */
-    x: F;
-    /** Affine y coordinate. Different from projective / extended Y coordinate. */
-    y: F;
-    Z?: F;
-    double(): P;
-    negate(): P;
-    add(other: P): P;
-    subtract(other: P): P;
-    equals(other: P): boolean;
-    multiply(scalar: bigint): P;
-    assertValidity(): void;
-    clearCofactor(): P;
-    is0(): boolean;
-    isTorsionFree(): boolean;
-    isSmallOrder(): boolean;
-    multiplyUnsafe(scalar: bigint): P;
-    /**
-     * Massively speeds up `p.multiply(n)` by using precompute tables (caching). See {@link wNAF}.
-     * @param isLazy calculate cache now. Default (true) ensures it's deferred to first `multiply()`
-     */
-    precompute(windowSize?: number, isLazy?: boolean): P;
-    /** Converts point to 2D xy affine coordinates */
-    toAffine(invertedZ?: F): AffinePoint<F>;
-    toBytes(): Uint8Array;
-    toHex(): string;
-}
-/** Base interface for all elliptic curve Point constructors. */
-export interface CurvePointCons<P extends CurvePoint<any, P>> {
-    [Symbol.hasInstance]: (item: unknown) => boolean;
-    BASE: P;
-    ZERO: P;
-    /** Field for basic curve math */
-    Fp: IField<P_F<P>>;
-    /** Scalar field, for scalars in multiply and others */
-    Fn: IField<bigint>;
-    /** Creates point from x, y. Does NOT validate if the point is valid. Use `.assertValidity()`. */
-    fromAffine(p: AffinePoint<P_F<P>>): P;
-    fromBytes(bytes: Uint8Array): P;
-    fromHex(hex: Uint8Array | string): P;
-}
-/** Returns Fp type from Point (P_F<P> == P.F) */
-export type P_F<P extends CurvePoint<any, P>> = P extends CurvePoint<infer F, P> ? F : never;
-/** Returns Fp type from PointCons (PC_F<PC> == PC.P.F) */
-export type PC_F<PC extends CurvePointCons<CurvePoint<any, any>>> = PC['Fp']['ZERO'];
-/** Returns Point type from PointCons (PC_P<PC> == PC.P) */
-export type PC_P<PC extends CurvePointCons<CurvePoint<any, any>>> = PC['ZERO'];
-export type PC_ANY = CurvePointCons<CurvePoint<any, CurvePoint<any, CurvePoint<any, CurvePoint<any, CurvePoint<any, CurvePoint<any, CurvePoint<any, CurvePoint<any, CurvePoint<any, CurvePoint<any, any>>>>>>>>>>>;
-export interface CurveLengths {
-    secretKey?: number;
-    publicKey?: number;
-    publicKeyUncompressed?: number;
-    publicKeyHasPrefix?: boolean;
-    signature?: number;
-    seed?: number;
-}
-export type GroupConstructor<T> = {
-    BASE: T;
-    ZERO: T;
-};
-/** @deprecated */
-export type ExtendedGroupConstructor<T> = GroupConstructor<T> & {
-    Fp: IField<any>;
-    Fn: IField<bigint>;
-    fromAffine(ap: AffinePoint<any>): T;
-};
-export type Mapper<T> = (i: T[]) => T[];
-export declare function negateCt<T extends {
-    negate: () => T;
-}>(condition: boolean, item: T): T;
-/**
- * Takes a bunch of Projective Points but executes only one
- * inversion on all of them. Inversion is very slow operation,
- * so this improves performance massively.
- * Optimization: converts a list of projective points to a list of identical points with Z=1.
- */
-export declare function normalizeZ<P extends CurvePoint<any, P>, PC extends CurvePointCons<P>>(c: PC, points: P[]): P[];
-/** Internal wNAF opts for specific W and scalarBits */
-export type WOpts = {
-    windows: number;
-    windowSize: number;
-    mask: bigint;
-    maxNumber: number;
-    shiftBy: bigint;
-};
-/**
- * Elliptic curve multiplication of Point by scalar. Fragile.
- * Table generation takes **30MB of ram and 10ms on high-end CPU**,
- * but may take much longer on slow devices. Actual generation will happen on
- * first call of `multiply()`. By default, `BASE` point is precomputed.
- *
- * Scalars should always be less than curve order: this should be checked inside of a curve itself.
- * Creates precomputation tables for fast multiplication:
- * - private scalar is split by fixed size windows of W bits
- * - every window point is collected from window's table & added to accumulator
- * - since windows are different, same point inside tables won't be accessed more than once per calc
- * - each multiplication is 'Math.ceil(CURVE_ORDER / 𝑊) + 1' point additions (fixed for any scalar)
- * - +1 window is neccessary for wNAF
- * - wNAF reduces table size: 2x less memory + 2x faster generation, but 10% slower multiplication
- *
- * @todo Research returning 2d JS array of windows, instead of a single window.
- * This would allow windows to be in different memory locations
- */
-export declare class wNAF<PC extends PC_ANY> {
-    private readonly BASE;
-    private readonly ZERO;
-    private readonly Fn;
-    readonly bits: number;
-    constructor(Point: PC, bits: number);
-    _unsafeLadder(elm: PC_P<PC>, n: bigint, p?: PC_P<PC>): PC_P<PC>;
-    /**
-     * Creates a wNAF precomputation window. Used for caching.
-     * Default window size is set by `utils.precompute()` and is equal to 8.
-     * Number of precomputed points depends on the curve size:
-     * 2^(𝑊−1) * (Math.ceil(𝑛 / 𝑊) + 1), where:
-     * - 𝑊 is the window size
-     * - 𝑛 is the bitlength of the curve order.
-     * For a 256-bit curve and window size 8, the number of precomputed points is 128 * 33 = 4224.
-     * @param point Point instance
-     * @param W window size
-     * @returns precomputed point tables flattened to a single array
-     */
-    private precomputeWindow;
-    /**
-     * Implements ec multiplication using precomputed tables and w-ary non-adjacent form.
-     * More compact implementation:
-     * https://github.com/paulmillr/noble-secp256k1/blob/47cb1669b6e506ad66b35fe7d76132ae97465da2/index.ts#L502-L541
-     * @returns real and fake (for const-time) points
-     */
-    private wNAF;
-    /**
-     * Implements ec unsafe (non const-time) multiplication using precomputed tables and w-ary non-adjacent form.
-     * @param acc accumulator point to add result of multiplication
-     * @returns point
-     */
-    private wNAFUnsafe;
-    private getPrecomputes;
-    cached(point: PC_P<PC>, scalar: bigint, transform?: Mapper<PC_P<PC>>): {
-        p: PC_P<PC>;
-        f: PC_P<PC>;
-    };
-    unsafe(point: PC_P<PC>, scalar: bigint, transform?: Mapper<PC_P<PC>>, prev?: PC_P<PC>): PC_P<PC>;
-    createCache(P: PC_P<PC>, W: number): void;
-    hasCache(elm: PC_P<PC>): boolean;
-}
-/**
- * Endomorphism-specific multiplication for Koblitz curves.
- * Cost: 128 dbl, 0-256 adds.
- */
-export declare function mulEndoUnsafe<P extends CurvePoint<any, P>, PC extends CurvePointCons<P>>(Point: PC, point: P, k1: bigint, k2: bigint): {
-    p1: P;
-    p2: P;
-};
-/**
- * Pippenger algorithm for multi-scalar multiplication (MSM, Pa + Qb + Rc + ...).
- * 30x faster vs naive addition on L=4096, 10x faster than precomputes.
- * For N=254bit, L=1, it does: 1024 ADD + 254 DBL. For L=5: 1536 ADD + 254 DBL.
- * Algorithmically constant-time (for same L), even when 1 point + scalar, or when scalar = 0.
- * @param c Curve Point constructor
- * @param fieldN field over CURVE.N - important that it's not over CURVE.P
- * @param points array of L curve points
- * @param scalars array of L scalars (aka secret keys / bigints)
- */
-export declare function pippenger<P extends CurvePoint<any, P>, PC extends CurvePointCons<P>>(c: PC, fieldN: IField<bigint>, points: P[], scalars: bigint[]): P;
-/**
- * Precomputed multi-scalar multiplication (MSM, Pa + Qb + Rc + ...).
- * @param c Curve Point constructor
- * @param fieldN field over CURVE.N - important that it's not over CURVE.P
- * @param points array of L curve points
- * @returns function which multiplies points with scaars
- */
-export declare function precomputeMSMUnsafe<P extends CurvePoint<any, P>, PC extends CurvePointCons<P>>(c: PC, fieldN: IField<bigint>, points: P[], windowSize: number): (scalars: bigint[]) => P;
-/**
- * Generic BasicCurve interface: works even for polynomial fields (BLS): P, n, h would be ok.
- * Though generator can be different (Fp2 / Fp6 for BLS).
- */
-export type BasicCurve<T> = {
-    Fp: IField<T>;
-    n: bigint;
-    nBitLength?: number;
-    nByteLength?: number;
-    h: bigint;
-    hEff?: bigint;
-    Gx: T;
-    Gy: T;
-    allowInfinityPoint?: boolean;
-};
-/** @deprecated */
-export declare function validateBasic<FP, T>(curve: BasicCurve<FP> & T): Readonly<{
-    readonly nBitLength: number;
-    readonly nByteLength: number;
-} & BasicCurve<FP> & T & {
-    p: bigint;
-}>;
-export type ValidCurveParams<T> = {
-    p: bigint;
-    n: bigint;
-    h: bigint;
-    a: T;
-    b?: T;
-    d?: T;
-    Gx: T;
-    Gy: T;
-};
-export type FpFn<T> = {
-    Fp: IField<T>;
-    Fn: IField<bigint>;
-};
-/** Validates CURVE opts and creates fields */
-export declare function _createCurveFields<T>(type: 'weierstrass' | 'edwards', CURVE: ValidCurveParams<T>, curveOpts?: Partial<FpFn<T>>, FpFnLE?: boolean): FpFn<T> & {
-    CURVE: ValidCurveParams<T>;
-};
-//# sourceMappingURL=curve.d.ts.map

esm/abstract/curve.d.ts.map

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esm/abstract/curve.js

-/**
- * Methods for elliptic curve multiplication by scalars.
- * Contains wNAF, pippenger.
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { bitLen, bitMask, validateObject } from "../utils.js";
-import { Field, FpInvertBatch, nLength, validateField } from "./modular.js";
-const _0n = BigInt(0);
-const _1n = BigInt(1);
-export function negateCt(condition, item) {
-    const neg = item.negate();
-    return condition ? neg : item;
-}
-/**
- * Takes a bunch of Projective Points but executes only one
- * inversion on all of them. Inversion is very slow operation,
- * so this improves performance massively.
- * Optimization: converts a list of projective points to a list of identical points with Z=1.
- */
-export function normalizeZ(c, points) {
-    const invertedZs = FpInvertBatch(c.Fp, points.map((p) => p.Z));
-    return points.map((p, i) => c.fromAffine(p.toAffine(invertedZs[i])));
-}
-function validateW(W, bits) {
-    if (!Number.isSafeInteger(W) || W <= 0 || W > bits)
-        throw new Error('invalid window size, expected [1..' + bits + '], got W=' + W);
-}
-function calcWOpts(W, scalarBits) {
-    validateW(W, scalarBits);
-    const windows = Math.ceil(scalarBits / W) + 1; // W=8 33. Not 32, because we skip zero
-    const windowSize = 2 ** (W - 1); // W=8 128. Not 256, because we skip zero
-    const maxNumber = 2 ** W; // W=8 256
-    const mask = bitMask(W); // W=8 255 == mask 0b11111111
-    const shiftBy = BigInt(W); // W=8 8
-    return { windows, windowSize, mask, maxNumber, shiftBy };
-}
-function calcOffsets(n, window, wOpts) {
-    const { windowSize, mask, maxNumber, shiftBy } = wOpts;
-    let wbits = Number(n & mask); // extract W bits.
-    let nextN = n >> shiftBy; // shift number by W bits.
-    // What actually happens here:
-    // const highestBit = Number(mask ^ (mask >> 1n));
-    // let wbits2 = wbits - 1; // skip zero
-    // if (wbits2 & highestBit) { wbits2 ^= Number(mask); // (~);
-    // split if bits > max: +224 => 256-32
-    if (wbits > windowSize) {
-        // we skip zero, which means instead of `>= size-1`, we do `> size`
-        wbits -= maxNumber; // -32, can be maxNumber - wbits, but then we need to set isNeg here.
-        nextN += _1n; // +256 (carry)
-    }
-    const offsetStart = window * windowSize;
-    const offset = offsetStart + Math.abs(wbits) - 1; // -1 because we skip zero
-    const isZero = wbits === 0; // is current window slice a 0?
-    const isNeg = wbits < 0; // is current window slice negative?
-    const isNegF = window % 2 !== 0; // fake random statement for noise
-    const offsetF = offsetStart; // fake offset for noise
-    return { nextN, offset, isZero, isNeg, isNegF, offsetF };
-}
-function validateMSMPoints(points, c) {
-    if (!Array.isArray(points))
-        throw new Error('array expected');
-    points.forEach((p, i) => {
-        if (!(p instanceof c))
-            throw new Error('invalid point at index ' + i);
-    });
-}
-function validateMSMScalars(scalars, field) {
-    if (!Array.isArray(scalars))
-        throw new Error('array of scalars expected');
-    scalars.forEach((s, i) => {
-        if (!field.isValid(s))
-            throw new Error('invalid scalar at index ' + i);
-    });
-}
-// Since points in different groups cannot be equal (different object constructor),
-// we can have single place to store precomputes.
-// Allows to make points frozen / immutable.
-const pointPrecomputes = new WeakMap();
-const pointWindowSizes = new WeakMap();
-function getW(P) {
-    // To disable precomputes:
-    // return 1;
-    return pointWindowSizes.get(P) || 1;
-}
-function assert0(n) {
-    if (n !== _0n)
-        throw new Error('invalid wNAF');
-}
-/**
- * Elliptic curve multiplication of Point by scalar. Fragile.
- * Table generation takes **30MB of ram and 10ms on high-end CPU**,
- * but may take much longer on slow devices. Actual generation will happen on
- * first call of `multiply()`. By default, `BASE` point is precomputed.
- *
- * Scalars should always be less than curve order: this should be checked inside of a curve itself.
- * Creates precomputation tables for fast multiplication:
- * - private scalar is split by fixed size windows of W bits
- * - every window point is collected from window's table & added to accumulator
- * - since windows are different, same point inside tables won't be accessed more than once per calc
- * - each multiplication is 'Math.ceil(CURVE_ORDER / 𝑊) + 1' point additions (fixed for any scalar)
- * - +1 window is neccessary for wNAF
- * - wNAF reduces table size: 2x less memory + 2x faster generation, but 10% slower multiplication
- *
- * @todo Research returning 2d JS array of windows, instead of a single window.
- * This would allow windows to be in different memory locations
- */
-export class wNAF {
-    // Parametrized with a given Point class (not individual point)
-    constructor(Point, bits) {
-        this.BASE = Point.BASE;
-        this.ZERO = Point.ZERO;
-        this.Fn = Point.Fn;
-        this.bits = bits;
-    }
-    // non-const time multiplication ladder
-    _unsafeLadder(elm, n, p = this.ZERO) {
-        let d = elm;
-        while (n > _0n) {
-            if (n & _1n)
-                p = p.add(d);
-            d = d.double();
-            n >>= _1n;
-        }
-        return p;
-    }
-    /**
-     * Creates a wNAF precomputation window. Used for caching.
-     * Default window size is set by `utils.precompute()` and is equal to 8.
-     * Number of precomputed points depends on the curve size:
-     * 2^(𝑊−1) * (Math.ceil(𝑛 / 𝑊) + 1), where:
-     * - 𝑊 is the window size
-     * - 𝑛 is the bitlength of the curve order.
-     * For a 256-bit curve and window size 8, the number of precomputed points is 128 * 33 = 4224.
-     * @param point Point instance
-     * @param W window size
-     * @returns precomputed point tables flattened to a single array
-     */
-    precomputeWindow(point, W) {
-        const { windows, windowSize } = calcWOpts(W, this.bits);
-        const points = [];
-        let p = point;
-        let base = p;
-        for (let window = 0; window < windows; window++) {
-            base = p;
-            points.push(base);
-            // i=1, bc we skip 0
-            for (let i = 1; i < windowSize; i++) {
-                base = base.add(p);
-                points.push(base);
-            }
-            p = base.double();
-        }
-        return points;
-    }
-    /**
-     * Implements ec multiplication using precomputed tables and w-ary non-adjacent form.
-     * More compact implementation:
-     * https://github.com/paulmillr/noble-secp256k1/blob/47cb1669b6e506ad66b35fe7d76132ae97465da2/index.ts#L502-L541
-     * @returns real and fake (for const-time) points
-     */
-    wNAF(W, precomputes, n) {
-        // Scalar should be smaller than field order
-        if (!this.Fn.isValid(n))
-            throw new Error('invalid scalar');
-        // Accumulators
-        let p = this.ZERO;
-        let f = this.BASE;
-        // This code was first written with assumption that 'f' and 'p' will never be infinity point:
-        // since each addition is multiplied by 2 ** W, it cannot cancel each other. However,
-        // there is negate now: it is possible that negated element from low value
-        // would be the same as high element, which will create carry into next window.
-        // It's not obvious how this can fail, but still worth investigating later.
-        const wo = calcWOpts(W, this.bits);
-        for (let window = 0; window < wo.windows; window++) {
-            // (n === _0n) is handled and not early-exited. isEven and offsetF are used for noise
-            const { nextN, offset, isZero, isNeg, isNegF, offsetF } = calcOffsets(n, window, wo);
-            n = nextN;
-            if (isZero) {
-                // bits are 0: add garbage to fake point
-                // Important part for const-time getPublicKey: add random "noise" point to f.
-                f = f.add(negateCt(isNegF, precomputes[offsetF]));
-            }
-            else {
-                // bits are 1: add to result point
-                p = p.add(negateCt(isNeg, precomputes[offset]));
-            }
-        }
-        assert0(n);
-        // Return both real and fake points: JIT won't eliminate f.
-        // At this point there is a way to F be infinity-point even if p is not,
-        // which makes it less const-time: around 1 bigint multiply.
-        return { p, f };
-    }
-    /**
-     * Implements ec unsafe (non const-time) multiplication using precomputed tables and w-ary non-adjacent form.
-     * @param acc accumulator point to add result of multiplication
-     * @returns point
-     */
-    wNAFUnsafe(W, precomputes, n, acc = this.ZERO) {
-        const wo = calcWOpts(W, this.bits);
-        for (let window = 0; window < wo.windows; window++) {
-            if (n === _0n)
-                break; // Early-exit, skip 0 value
-            const { nextN, offset, isZero, isNeg } = calcOffsets(n, window, wo);
-            n = nextN;
-            if (isZero) {
-                // Window bits are 0: skip processing.
-                // Move to next window.
-                continue;
-            }
-            else {
-                const item = precomputes[offset];
-                acc = acc.add(isNeg ? item.negate() : item); // Re-using acc allows to save adds in MSM
-            }
-        }
-        assert0(n);
-        return acc;
-    }
-    getPrecomputes(W, point, transform) {
-        // Calculate precomputes on a first run, reuse them after
-        let comp = pointPrecomputes.get(point);
-        if (!comp) {
-            comp = this.precomputeWindow(point, W);
-            if (W !== 1) {
-                // Doing transform outside of if brings 15% perf hit
-                if (typeof transform === 'function')
-                    comp = transform(comp);
-                pointPrecomputes.set(point, comp);
-            }
-        }
-        return comp;
-    }
-    cached(point, scalar, transform) {
-        const W = getW(point);
-        return this.wNAF(W, this.getPrecomputes(W, point, transform), scalar);
-    }
-    unsafe(point, scalar, transform, prev) {
-        const W = getW(point);
-        if (W === 1)
-            return this._unsafeLadder(point, scalar, prev); // For W=1 ladder is ~x2 faster
-        return this.wNAFUnsafe(W, this.getPrecomputes(W, point, transform), scalar, prev);
-    }
-    // We calculate precomputes for elliptic curve point multiplication
-    // using windowed method. This specifies window size and
-    // stores precomputed values. Usually only base point would be precomputed.
-    createCache(P, W) {
-        validateW(W, this.bits);
-        pointWindowSizes.set(P, W);
-        pointPrecomputes.delete(P);
-    }
-    hasCache(elm) {
-        return getW(elm) !== 1;
-    }
-}
-/**
- * Endomorphism-specific multiplication for Koblitz curves.
- * Cost: 128 dbl, 0-256 adds.
- */
-export function mulEndoUnsafe(Point, point, k1, k2) {
-    let acc = point;
-    let p1 = Point.ZERO;
-    let p2 = Point.ZERO;
-    while (k1 > _0n || k2 > _0n) {
-        if (k1 & _1n)
-            p1 = p1.add(acc);
-        if (k2 & _1n)
-            p2 = p2.add(acc);
-        acc = acc.double();
-        k1 >>= _1n;
-        k2 >>= _1n;
-    }
-    return { p1, p2 };
-}
-/**
- * Pippenger algorithm for multi-scalar multiplication (MSM, Pa + Qb + Rc + ...).
- * 30x faster vs naive addition on L=4096, 10x faster than precomputes.
- * For N=254bit, L=1, it does: 1024 ADD + 254 DBL. For L=5: 1536 ADD + 254 DBL.
- * Algorithmically constant-time (for same L), even when 1 point + scalar, or when scalar = 0.
- * @param c Curve Point constructor
- * @param fieldN field over CURVE.N - important that it's not over CURVE.P
- * @param points array of L curve points
- * @param scalars array of L scalars (aka secret keys / bigints)
- */
-export function pippenger(c, fieldN, points, scalars) {
-    // If we split scalars by some window (let's say 8 bits), every chunk will only
-    // take 256 buckets even if there are 4096 scalars, also re-uses double.
-    // TODO:
-    // - https://eprint.iacr.org/2024/750.pdf
-    // - https://tches.iacr.org/index.php/TCHES/article/view/10287
-    // 0 is accepted in scalars
-    validateMSMPoints(points, c);
-    validateMSMScalars(scalars, fieldN);
-    const plength = points.length;
-    const slength = scalars.length;
-    if (plength !== slength)
-        throw new Error('arrays of points and scalars must have equal length');
-    // if (plength === 0) throw new Error('array must be of length >= 2');
-    const zero = c.ZERO;
-    const wbits = bitLen(BigInt(plength));
-    let windowSize = 1; // bits
-    if (wbits > 12)
-        windowSize = wbits - 3;
-    else if (wbits > 4)
-        windowSize = wbits - 2;
-    else if (wbits > 0)
-        windowSize = 2;
-    const MASK = bitMask(windowSize);
-    const buckets = new Array(Number(MASK) + 1).fill(zero); // +1 for zero array
-    const lastBits = Math.floor((fieldN.BITS - 1) / windowSize) * windowSize;
-    let sum = zero;
-    for (let i = lastBits; i >= 0; i -= windowSize) {
-        buckets.fill(zero);
-        for (let j = 0; j < slength; j++) {
-            const scalar = scalars[j];
-            const wbits = Number((scalar >> BigInt(i)) & MASK);
-            buckets[wbits] = buckets[wbits].add(points[j]);
-        }
-        let resI = zero; // not using this will do small speed-up, but will lose ct
-        // Skip first bucket, because it is zero
-        for (let j = buckets.length - 1, sumI = zero; j > 0; j--) {
-            sumI = sumI.add(buckets[j]);
-            resI = resI.add(sumI);
-        }
-        sum = sum.add(resI);
-        if (i !== 0)
-            for (let j = 0; j < windowSize; j++)
-                sum = sum.double();
-    }
-    return sum;
-}
-/**
- * Precomputed multi-scalar multiplication (MSM, Pa + Qb + Rc + ...).
- * @param c Curve Point constructor
- * @param fieldN field over CURVE.N - important that it's not over CURVE.P
- * @param points array of L curve points
- * @returns function which multiplies points with scaars
- */
-export function precomputeMSMUnsafe(c, fieldN, points, windowSize) {
-    /**
-     * Performance Analysis of Window-based Precomputation
-     *
-     * Base Case (256-bit scalar, 8-bit window):
-     * - Standard precomputation requires:
-     *   - 31 additions per scalar × 256 scalars = 7,936 ops
-     *   - Plus 255 summary additions = 8,191 total ops
-     *   Note: Summary additions can be optimized via accumulator
-     *
-     * Chunked Precomputation Analysis:
-     * - Using 32 chunks requires:
-     *   - 255 additions per chunk
-     *   - 256 doublings
-     *   - Total: (255 × 32) + 256 = 8,416 ops
-     *
-     * Memory Usage Comparison:
-     * Window Size | Standard Points | Chunked Points
-     * ------------|-----------------|---------------
-     *     4-bit   |     520         |      15
-     *     8-bit   |    4,224        |     255
-     *    10-bit   |   13,824        |   1,023
-     *    16-bit   |  557,056        |  65,535
-     *
-     * Key Advantages:
-     * 1. Enables larger window sizes due to reduced memory overhead
-     * 2. More efficient for smaller scalar counts:
-     *    - 16 chunks: (16 × 255) + 256 = 4,336 ops
-     *    - ~2x faster than standard 8,191 ops
-     *
-     * Limitations:
-     * - Not suitable for plain precomputes (requires 256 constant doublings)
-     * - Performance degrades with larger scalar counts:
-     *   - Optimal for ~256 scalars
-     *   - Less efficient for 4096+ scalars (Pippenger preferred)
-     */
-    validateW(windowSize, fieldN.BITS);
-    validateMSMPoints(points, c);
-    const zero = c.ZERO;
-    const tableSize = 2 ** windowSize - 1; // table size (without zero)
-    const chunks = Math.ceil(fieldN.BITS / windowSize); // chunks of item
-    const MASK = bitMask(windowSize);
-    const tables = points.map((p) => {
-        const res = [];
-        for (let i = 0, acc = p; i < tableSize; i++) {
-            res.push(acc);
-            acc = acc.add(p);
-        }
-        return res;
-    });
-    return (scalars) => {
-        validateMSMScalars(scalars, fieldN);
-        if (scalars.length > points.length)
-            throw new Error('array of scalars must be smaller than array of points');
-        let res = zero;
-        for (let i = 0; i < chunks; i++) {
-            // No need to double if accumulator is still zero.
-            if (res !== zero)
-                for (let j = 0; j < windowSize; j++)
-                    res = res.double();
-            const shiftBy = BigInt(chunks * windowSize - (i + 1) * windowSize);
-            for (let j = 0; j < scalars.length; j++) {
-                const n = scalars[j];
-                const curr = Number((n >> shiftBy) & MASK);
-                if (!curr)
-                    continue; // skip zero scalars chunks
-                res = res.add(tables[j][curr - 1]);
-            }
-        }
-        return res;
-    };
-}
-// TODO: remove
-/** @deprecated */
-export function validateBasic(curve) {
-    validateField(curve.Fp);
-    validateObject(curve, {
-        n: 'bigint',
-        h: 'bigint',
-        Gx: 'field',
-        Gy: 'field',
-    }, {
-        nBitLength: 'isSafeInteger',
-        nByteLength: 'isSafeInteger',
-    });
-    // Set defaults
-    return Object.freeze({
-        ...nLength(curve.n, curve.nBitLength),
-        ...curve,
-        ...{ p: curve.Fp.ORDER },
-    });
-}
-function createField(order, field, isLE) {
-    if (field) {
-        if (field.ORDER !== order)
-            throw new Error('Field.ORDER must match order: Fp == p, Fn == n');
-        validateField(field);
-        return field;
-    }
-    else {
-        return Field(order, { isLE });
-    }
-}
-/** Validates CURVE opts and creates fields */
-export function _createCurveFields(type, CURVE, curveOpts = {}, FpFnLE) {
-    if (FpFnLE === undefined)
-        FpFnLE = type === 'edwards';
-    if (!CURVE || typeof CURVE !== 'object')
-        throw new Error(`expected valid ${type} CURVE object`);
-    for (const p of ['p', 'n', 'h']) {
-        const val = CURVE[p];
-        if (!(typeof val === 'bigint' && val > _0n))
-            throw new Error(`CURVE.${p} must be positive bigint`);
-    }
-    const Fp = createField(CURVE.p, curveOpts.Fp, FpFnLE);
-    const Fn = createField(CURVE.n, curveOpts.Fn, FpFnLE);
-    const _b = type === 'weierstrass' ? 'b' : 'd';
-    const params = ['Gx', 'Gy', 'a', _b];
-    for (const p of params) {
-        // @ts-ignore
-        if (!Fp.isValid(CURVE[p]))
-            throw new Error(`CURVE.${p} must be valid field element of CURVE.Fp`);
-    }
-    CURVE = Object.freeze(Object.assign({}, CURVE));
-    return { CURVE, Fp, Fn };
-}
-//# sourceMappingURL=curve.js.map

esm/abstract/curve.js.map

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esm/abstract/edwards.d.ts

-/**
- * Twisted Edwards curve. The formula is: ax² + y² = 1 + dx²y².
- * For design rationale of types / exports, see weierstrass module documentation.
- * Untwisted Edwards curves exist, but they aren't used in real-world protocols.
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { type FHash, type Hex } from '../utils.ts';
-import { type AffinePoint, type BasicCurve, type CurveLengths, type CurvePoint, type CurvePointCons } from './curve.ts';
-import { type IField, type NLength } from './modular.ts';
-export type UVRatio = (u: bigint, v: bigint) => {
-    isValid: boolean;
-    value: bigint;
-};
-/** Instance of Extended Point with coordinates in X, Y, Z, T. */
-export interface EdwardsPoint extends CurvePoint<bigint, EdwardsPoint> {
-    /** extended X coordinate. Different from affine x. */
-    readonly X: bigint;
-    /** extended Y coordinate. Different from affine y. */
-    readonly Y: bigint;
-    /** extended Z coordinate */
-    readonly Z: bigint;
-    /** extended T coordinate */
-    readonly T: bigint;
-    /** @deprecated use `toBytes` */
-    toRawBytes(): Uint8Array;
-    /** @deprecated use `p.precompute(windowSize)` */
-    _setWindowSize(windowSize: number): void;
-    /** @deprecated use .X */
-    readonly ex: bigint;
-    /** @deprecated use .Y */
-    readonly ey: bigint;
-    /** @deprecated use .Z */
-    readonly ez: bigint;
-    /** @deprecated use .T */
-    readonly et: bigint;
-}
-/** Static methods of Extended Point with coordinates in X, Y, Z, T. */
-export interface EdwardsPointCons extends CurvePointCons<EdwardsPoint> {
-    new (X: bigint, Y: bigint, Z: bigint, T: bigint): EdwardsPoint;
-    CURVE(): EdwardsOpts;
-    fromBytes(bytes: Uint8Array, zip215?: boolean): EdwardsPoint;
-    fromHex(hex: Hex, zip215?: boolean): EdwardsPoint;
-    /** @deprecated use `import { pippenger } from '@noble/curves/abstract/curve.js';` */
-    msm(points: EdwardsPoint[], scalars: bigint[]): EdwardsPoint;
-}
-/** @deprecated use EdwardsPoint */
-export type ExtPointType = EdwardsPoint;
-/** @deprecated use EdwardsPointCons */
-export type ExtPointConstructor = EdwardsPointCons;
-/**
- * Twisted Edwards curve options.
- *
- * * a: formula param
- * * d: formula param
- * * p: prime characteristic (order) of finite field, in which arithmetics is done
- * * n: order of prime subgroup a.k.a total amount of valid curve points
- * * h: cofactor. h*n is group order; n is subgroup order
- * * Gx: x coordinate of generator point a.k.a. base point
- * * Gy: y coordinate of generator point
- */
-export type EdwardsOpts = Readonly<{
-    p: bigint;
-    n: bigint;
-    h: bigint;
-    a: bigint;
-    d: bigint;
-    Gx: bigint;
-    Gy: bigint;
-}>;
-/**
- * Extra curve options for Twisted Edwards.
- *
- * * Fp: redefined Field over curve.p
- * * Fn: redefined Field over curve.n
- * * uvRatio: helper function for decompression, calculating √(u/v)
- */
-export type EdwardsExtraOpts = Partial<{
-    Fp: IField<bigint>;
-    Fn: IField<bigint>;
-    FpFnLE: boolean;
-    uvRatio: (u: bigint, v: bigint) => {
-        isValid: boolean;
-        value: bigint;
-    };
-}>;
-/**
- * EdDSA (Edwards Digital Signature algorithm) options.
- *
- * * hash: hash function used to hash secret keys and messages
- * * adjustScalarBytes: clears bits to get valid field element
- * * domain: Used for hashing
- * * mapToCurve: for hash-to-curve standard
- * * prehash: RFC 8032 pre-hashing of messages to sign() / verify()
- * * randomBytes: function generating random bytes, used for randomSecretKey
- */
-export type EdDSAOpts = Partial<{
-    adjustScalarBytes: (bytes: Uint8Array) => Uint8Array;
-    domain: (data: Uint8Array, ctx: Uint8Array, phflag: boolean) => Uint8Array;
-    mapToCurve: (scalar: bigint[]) => AffinePoint<bigint>;
-    prehash: FHash;
-    randomBytes: (bytesLength?: number) => Uint8Array;
-}>;
-/**
- * EdDSA (Edwards Digital Signature algorithm) interface.
- *
- * Allows to create and verify signatures, create public and secret keys.
- */
-export interface EdDSA {
-    keygen: (seed?: Uint8Array) => {
-        secretKey: Uint8Array;
-        publicKey: Uint8Array;
-    };
-    getPublicKey: (secretKey: Hex) => Uint8Array;
-    sign: (message: Hex, secretKey: Hex, options?: {
-        context?: Hex;
-    }) => Uint8Array;
-    verify: (sig: Hex, message: Hex, publicKey: Hex, options?: {
-        context?: Hex;
-        zip215: boolean;
-    }) => boolean;
-    Point: EdwardsPointCons;
-    utils: {
-        randomSecretKey: (seed?: Uint8Array) => Uint8Array;
-        isValidSecretKey: (secretKey: Uint8Array) => boolean;
-        isValidPublicKey: (publicKey: Uint8Array, zip215?: boolean) => boolean;
-        /**
-         * Converts ed public key to x public key.
-         *
-         * There is NO `fromMontgomery`:
-         * - There are 2 valid ed25519 points for every x25519, with flipped coordinate
-         * - Sometimes there are 0 valid ed25519 points, because x25519 *additionally*
-         *   accepts inputs on the quadratic twist, which can't be moved to ed25519
-         *
-         * @example
-         * ```js
-         * const someonesPub = ed25519.getPublicKey(ed25519.utils.randomSecretKey());
-         * const aPriv = x25519.utils.randomSecretKey();
-         * x25519.getSharedSecret(aPriv, ed25519.utils.toMontgomery(someonesPub))
-         * ```
-         */
-        toMontgomery: (publicKey: Uint8Array) => Uint8Array;
-        /**
-         * Converts ed secret key to x secret key.
-         * @example
-         * ```js
-         * const someonesPub = x25519.getPublicKey(x25519.utils.randomSecretKey());
-         * const aPriv = ed25519.utils.randomSecretKey();
-         * x25519.getSharedSecret(ed25519.utils.toMontgomeryPriv(aPriv), someonesPub)
-         * ```
-         */
-        toMontgomeryPriv: (privateKey: Uint8Array) => Uint8Array;
-        getExtendedPublicKey: (key: Hex) => {
-            head: Uint8Array;
-            prefix: Uint8Array;
-            scalar: bigint;
-            point: EdwardsPoint;
-            pointBytes: Uint8Array;
-        };
-        /** @deprecated use `randomSecretKey` */
-        randomPrivateKey: (seed?: Uint8Array) => Uint8Array;
-        /** @deprecated use `point.precompute()` */
-        precompute: (windowSize?: number, point?: EdwardsPoint) => EdwardsPoint;
-    };
-    lengths: CurveLengths;
-}
-export declare function edwards(params: EdwardsOpts, extraOpts?: EdwardsExtraOpts): EdwardsPointCons;
-/**
- * Base class for prime-order points like Ristretto255 and Decaf448.
- * These points eliminate cofactor issues by representing equivalence classes
- * of Edwards curve points.
- */
-export declare abstract class PrimeEdwardsPoint<T extends PrimeEdwardsPoint<T>> implements CurvePoint<bigint, T> {
-    static BASE: PrimeEdwardsPoint<any>;
-    static ZERO: PrimeEdwardsPoint<any>;
-    static Fp: IField<bigint>;
-    static Fn: IField<bigint>;
-    protected readonly ep: EdwardsPoint;
-    constructor(ep: EdwardsPoint);
-    abstract toBytes(): Uint8Array;
-    abstract equals(other: T): boolean;
-    static fromBytes(_bytes: Uint8Array): any;
-    static fromHex(_hex: Hex): any;
-    get x(): bigint;
-    get y(): bigint;
-    clearCofactor(): T;
-    assertValidity(): void;
-    toAffine(invertedZ?: bigint): AffinePoint<bigint>;
-    toHex(): string;
-    toString(): string;
-    isTorsionFree(): boolean;
-    isSmallOrder(): boolean;
-    add(other: T): T;
-    subtract(other: T): T;
-    multiply(scalar: bigint): T;
-    multiplyUnsafe(scalar: bigint): T;
-    double(): T;
-    negate(): T;
-    precompute(windowSize?: number, isLazy?: boolean): T;
-    abstract is0(): boolean;
-    protected abstract assertSame(other: T): void;
-    protected abstract init(ep: EdwardsPoint): T;
-    /** @deprecated use `toBytes` */
-    toRawBytes(): Uint8Array;
-}
-/**
- * Initializes EdDSA signatures over given Edwards curve.
- */
-export declare function eddsa(Point: EdwardsPointCons, cHash: FHash, eddsaOpts?: EdDSAOpts): EdDSA;
-export type CurveType = BasicCurve<bigint> & {
-    a: bigint;
-    d: bigint;
-    /** @deprecated the property will be removed in next release */
-    hash: FHash;
-    randomBytes?: (bytesLength?: number) => Uint8Array;
-    adjustScalarBytes?: (bytes: Uint8Array) => Uint8Array;
-    domain?: (data: Uint8Array, ctx: Uint8Array, phflag: boolean) => Uint8Array;
-    uvRatio?: UVRatio;
-    prehash?: FHash;
-    mapToCurve?: (scalar: bigint[]) => AffinePoint<bigint>;
-};
-export type CurveTypeWithLength = Readonly<CurveType & Partial<NLength>>;
-export type CurveFn = {
-    /** @deprecated the property will be removed in next release */
-    CURVE: CurveType;
-    keygen: EdDSA['keygen'];
-    getPublicKey: EdDSA['getPublicKey'];
-    sign: EdDSA['sign'];
-    verify: EdDSA['verify'];
-    Point: EdwardsPointCons;
-    /** @deprecated use `Point` */
-    ExtendedPoint: EdwardsPointCons;
-    utils: EdDSA['utils'];
-    lengths: CurveLengths;
-};
-export type EdComposed = {
-    CURVE: EdwardsOpts;
-    curveOpts: EdwardsExtraOpts;
-    hash: FHash;
-    eddsaOpts: EdDSAOpts;
-};
-export declare function twistedEdwards(c: CurveTypeWithLength): CurveFn;
-//# sourceMappingURL=edwards.d.ts.map

esm/abstract/edwards.d.ts.map

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esm/abstract/edwards.js

-/**
- * Twisted Edwards curve. The formula is: ax² + y² = 1 + dx²y².
- * For design rationale of types / exports, see weierstrass module documentation.
- * Untwisted Edwards curves exist, but they aren't used in real-world protocols.
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { _validateObject, _abool2 as abool, _abytes2 as abytes, aInRange, bytesToHex, bytesToNumberLE, concatBytes, copyBytes, ensureBytes, isBytes, memoized, notImplemented, randomBytes as randomBytesWeb, } from "../utils.js";
-import { _createCurveFields, normalizeZ, pippenger, wNAF, } from "./curve.js";
-import { Field } from "./modular.js";
-// Be friendly to bad ECMAScript parsers by not using bigint literals
-// prettier-ignore
-const _0n = BigInt(0), _1n = BigInt(1), _2n = BigInt(2), _8n = BigInt(8);
-function isEdValidXY(Fp, CURVE, x, y) {
-    const x2 = Fp.sqr(x);
-    const y2 = Fp.sqr(y);
-    const left = Fp.add(Fp.mul(CURVE.a, x2), y2);
-    const right = Fp.add(Fp.ONE, Fp.mul(CURVE.d, Fp.mul(x2, y2)));
-    return Fp.eql(left, right);
-}
-export function edwards(params, extraOpts = {}) {
-    const validated = _createCurveFields('edwards', params, extraOpts, extraOpts.FpFnLE);
-    const { Fp, Fn } = validated;
-    let CURVE = validated.CURVE;
-    const { h: cofactor } = CURVE;
-    _validateObject(extraOpts, {}, { uvRatio: 'function' });
-    // Important:
-    // There are some places where Fp.BYTES is used instead of nByteLength.
-    // So far, everything has been tested with curves of Fp.BYTES == nByteLength.
-    // TODO: test and find curves which behave otherwise.
-    const MASK = _2n << (BigInt(Fn.BYTES * 8) - _1n);
-    const modP = (n) => Fp.create(n); // Function overrides
-    // sqrt(u/v)
-    const uvRatio = extraOpts.uvRatio ||
-        ((u, v) => {
-            try {
-                return { isValid: true, value: Fp.sqrt(Fp.div(u, v)) };
-            }
-            catch (e) {
-                return { isValid: false, value: _0n };
-            }
-        });
-    // Validate whether the passed curve params are valid.
-    // equation ax² + y² = 1 + dx²y² should work for generator point.
-    if (!isEdValidXY(Fp, CURVE, CURVE.Gx, CURVE.Gy))
-        throw new Error('bad curve params: generator point');
-    /**
-     * Asserts coordinate is valid: 0 <= n < MASK.
-     * Coordinates >= Fp.ORDER are allowed for zip215.
-     */
-    function acoord(title, n, banZero = false) {
-        const min = banZero ? _1n : _0n;
-        aInRange('coordinate ' + title, n, min, MASK);
-        return n;
-    }
-    function aextpoint(other) {
-        if (!(other instanceof Point))
-            throw new Error('ExtendedPoint expected');
-    }
-    // Converts Extended point to default (x, y) coordinates.
-    // Can accept precomputed Z^-1 - for example, from invertBatch.
-    const toAffineMemo = memoized((p, iz) => {
-        const { X, Y, Z } = p;
-        const is0 = p.is0();
-        if (iz == null)
-            iz = is0 ? _8n : Fp.inv(Z); // 8 was chosen arbitrarily
-        const x = modP(X * iz);
-        const y = modP(Y * iz);
-        const zz = Fp.mul(Z, iz);
-        if (is0)
-            return { x: _0n, y: _1n };
-        if (zz !== _1n)
-            throw new Error('invZ was invalid');
-        return { x, y };
-    });
-    const assertValidMemo = memoized((p) => {
-        const { a, d } = CURVE;
-        if (p.is0())
-            throw new Error('bad point: ZERO'); // TODO: optimize, with vars below?
-        // Equation in affine coordinates: ax² + y² = 1 + dx²y²
-        // Equation in projective coordinates (X/Z, Y/Z, Z):  (aX² + Y²)Z² = Z⁴ + dX²Y²
-        const { X, Y, Z, T } = p;
-        const X2 = modP(X * X); // X²
-        const Y2 = modP(Y * Y); // Y²
-        const Z2 = modP(Z * Z); // Z²
-        const Z4 = modP(Z2 * Z2); // Z⁴
-        const aX2 = modP(X2 * a); // aX²
-        const left = modP(Z2 * modP(aX2 + Y2)); // (aX² + Y²)Z²
-        const right = modP(Z4 + modP(d * modP(X2 * Y2))); // Z⁴ + dX²Y²
-        if (left !== right)
-            throw new Error('bad point: equation left != right (1)');
-        // In Extended coordinates we also have T, which is x*y=T/Z: check X*Y == Z*T
-        const XY = modP(X * Y);
-        const ZT = modP(Z * T);
-        if (XY !== ZT)
-            throw new Error('bad point: equation left != right (2)');
-        return true;
-    });
-    // Extended Point works in extended coordinates: (X, Y, Z, T) ∋ (x=X/Z, y=Y/Z, T=xy).
-    // https://en.wikipedia.org/wiki/Twisted_Edwards_curve#Extended_coordinates
-    class Point {
-        constructor(X, Y, Z, T) {
-            this.X = acoord('x', X);
-            this.Y = acoord('y', Y);
-            this.Z = acoord('z', Z, true);
-            this.T = acoord('t', T);
-            Object.freeze(this);
-        }
-        static CURVE() {
-            return CURVE;
-        }
-        static fromAffine(p) {
-            if (p instanceof Point)
-                throw new Error('extended point not allowed');
-            const { x, y } = p || {};
-            acoord('x', x);
-            acoord('y', y);
-            return new Point(x, y, _1n, modP(x * y));
-        }
-        // Uses algo from RFC8032 5.1.3.
-        static fromBytes(bytes, zip215 = false) {
-            const len = Fp.BYTES;
-            const { a, d } = CURVE;
-            bytes = copyBytes(abytes(bytes, len, 'point'));
-            abool(zip215, 'zip215');
-            const normed = copyBytes(bytes); // copy again, we'll manipulate it
-            const lastByte = bytes[len - 1]; // select last byte
-            normed[len - 1] = lastByte & ~0x80; // clear last bit
-            const y = bytesToNumberLE(normed);
-            // zip215=true is good for consensus-critical apps. =false follows RFC8032 / NIST186-5.
-            // RFC8032 prohibits >= p, but ZIP215 doesn't
-            // zip215=true:  0 <= y < MASK (2^256 for ed25519)
-            // zip215=false: 0 <= y < P (2^255-19 for ed25519)
-            const max = zip215 ? MASK : Fp.ORDER;
-            aInRange('point.y', y, _0n, max);
-            // Ed25519: x² = (y²-1)/(dy²+1) mod p. Ed448: x² = (y²-1)/(dy²-1) mod p. Generic case:
-            // ax²+y²=1+dx²y² => y²-1=dx²y²-ax² => y²-1=x²(dy²-a) => x²=(y²-1)/(dy²-a)
-            const y2 = modP(y * y); // denominator is always non-0 mod p.
-            const u = modP(y2 - _1n); // u = y² - 1
-            const v = modP(d * y2 - a); // v = d y² + 1.
-            let { isValid, value: x } = uvRatio(u, v); // √(u/v)
-            if (!isValid)
-                throw new Error('bad point: invalid y coordinate');
-            const isXOdd = (x & _1n) === _1n; // There are 2 square roots. Use x_0 bit to select proper
-            const isLastByteOdd = (lastByte & 0x80) !== 0; // x_0, last bit
-            if (!zip215 && x === _0n && isLastByteOdd)
-                // if x=0 and x_0 = 1, fail
-                throw new Error('bad point: x=0 and x_0=1');
-            if (isLastByteOdd !== isXOdd)
-                x = modP(-x); // if x_0 != x mod 2, set x = p-x
-            return Point.fromAffine({ x, y });
-        }
-        static fromHex(bytes, zip215 = false) {
-            return Point.fromBytes(ensureBytes('point', bytes), zip215);
-        }
-        get x() {
-            return this.toAffine().x;
-        }
-        get y() {
-            return this.toAffine().y;
-        }
-        precompute(windowSize = 8, isLazy = true) {
-            wnaf.createCache(this, windowSize);
-            if (!isLazy)
-                this.multiply(_2n); // random number
-            return this;
-        }
-        // Useful in fromAffine() - not for fromBytes(), which always created valid points.
-        assertValidity() {
-            assertValidMemo(this);
-        }
-        // Compare one point to another.
-        equals(other) {
-            aextpoint(other);
-            const { X: X1, Y: Y1, Z: Z1 } = this;
-            const { X: X2, Y: Y2, Z: Z2 } = other;
-            const X1Z2 = modP(X1 * Z2);
-            const X2Z1 = modP(X2 * Z1);
-            const Y1Z2 = modP(Y1 * Z2);
-            const Y2Z1 = modP(Y2 * Z1);
-            return X1Z2 === X2Z1 && Y1Z2 === Y2Z1;
-        }
-        is0() {
-            return this.equals(Point.ZERO);
-        }
-        negate() {
-            // Flips point sign to a negative one (-x, y in affine coords)
-            return new Point(modP(-this.X), this.Y, this.Z, modP(-this.T));
-        }
-        // Fast algo for doubling Extended Point.
-        // https://hyperelliptic.org/EFD/g1p/auto-twisted-extended.html#doubling-dbl-2008-hwcd
-        // Cost: 4M + 4S + 1*a + 6add + 1*2.
-        double() {
-            const { a } = CURVE;
-            const { X: X1, Y: Y1, Z: Z1 } = this;
-            const A = modP(X1 * X1); // A = X12
-            const B = modP(Y1 * Y1); // B = Y12
-            const C = modP(_2n * modP(Z1 * Z1)); // C = 2*Z12
-            const D = modP(a * A); // D = a*A
-            const x1y1 = X1 + Y1;
-            const E = modP(modP(x1y1 * x1y1) - A - B); // E = (X1+Y1)2-A-B
-            const G = D + B; // G = D+B
-            const F = G - C; // F = G-C
-            const H = D - B; // H = D-B
-            const X3 = modP(E * F); // X3 = E*F
-            const Y3 = modP(G * H); // Y3 = G*H
-            const T3 = modP(E * H); // T3 = E*H
-            const Z3 = modP(F * G); // Z3 = F*G
-            return new Point(X3, Y3, Z3, T3);
-        }
-        // Fast algo for adding 2 Extended Points.
-        // https://hyperelliptic.org/EFD/g1p/auto-twisted-extended.html#addition-add-2008-hwcd
-        // Cost: 9M + 1*a + 1*d + 7add.
-        add(other) {
-            aextpoint(other);
-            const { a, d } = CURVE;
-            const { X: X1, Y: Y1, Z: Z1, T: T1 } = this;
-            const { X: X2, Y: Y2, Z: Z2, T: T2 } = other;
-            const A = modP(X1 * X2); // A = X1*X2
-            const B = modP(Y1 * Y2); // B = Y1*Y2
-            const C = modP(T1 * d * T2); // C = T1*d*T2
-            const D = modP(Z1 * Z2); // D = Z1*Z2
-            const E = modP((X1 + Y1) * (X2 + Y2) - A - B); // E = (X1+Y1)*(X2+Y2)-A-B
-            const F = D - C; // F = D-C
-            const G = D + C; // G = D+C
-            const H = modP(B - a * A); // H = B-a*A
-            const X3 = modP(E * F); // X3 = E*F
-            const Y3 = modP(G * H); // Y3 = G*H
-            const T3 = modP(E * H); // T3 = E*H
-            const Z3 = modP(F * G); // Z3 = F*G
-            return new Point(X3, Y3, Z3, T3);
-        }
-        subtract(other) {
-            return this.add(other.negate());
-        }
-        // Constant-time multiplication.
-        multiply(scalar) {
-            // 1 <= scalar < L
-            if (!Fn.isValidNot0(scalar))
-                throw new Error('invalid scalar: expected 1 <= sc < curve.n');
-            const { p, f } = wnaf.cached(this, scalar, (p) => normalizeZ(Point, p));
-            return normalizeZ(Point, [p, f])[0];
-        }
-        // Non-constant-time multiplication. Uses double-and-add algorithm.
-        // It's faster, but should only be used when you don't care about
-        // an exposed private key e.g. sig verification.
-        // Does NOT allow scalars higher than CURVE.n.
-        // Accepts optional accumulator to merge with multiply (important for sparse scalars)
-        multiplyUnsafe(scalar, acc = Point.ZERO) {
-            // 0 <= scalar < L
-            if (!Fn.isValid(scalar))
-                throw new Error('invalid scalar: expected 0 <= sc < curve.n');
-            if (scalar === _0n)
-                return Point.ZERO;
-            if (this.is0() || scalar === _1n)
-                return this;
-            return wnaf.unsafe(this, scalar, (p) => normalizeZ(Point, p), acc);
-        }
-        // Checks if point is of small order.
-        // If you add something to small order point, you will have "dirty"
-        // point with torsion component.
-        // Multiplies point by cofactor and checks if the result is 0.
-        isSmallOrder() {
-            return this.multiplyUnsafe(cofactor).is0();
-        }
-        // Multiplies point by curve order and checks if the result is 0.
-        // Returns `false` is the point is dirty.
-        isTorsionFree() {
-            return wnaf.unsafe(this, CURVE.n).is0();
-        }
-        // Converts Extended point to default (x, y) coordinates.
-        // Can accept precomputed Z^-1 - for example, from invertBatch.
-        toAffine(invertedZ) {
-            return toAffineMemo(this, invertedZ);
-        }
-        clearCofactor() {
-            if (cofactor === _1n)
-                return this;
-            return this.multiplyUnsafe(cofactor);
-        }
-        toBytes() {
-            const { x, y } = this.toAffine();
-            // Fp.toBytes() allows non-canonical encoding of y (>= p).
-            const bytes = Fp.toBytes(y);
-            // Each y has 2 valid points: (x, y), (x,-y).
-            // When compressing, it's enough to store y and use the last byte to encode sign of x
-            bytes[bytes.length - 1] |= x & _1n ? 0x80 : 0;
-            return bytes;
-        }
-        toHex() {
-            return bytesToHex(this.toBytes());
-        }
-        toString() {
-            return `<Point ${this.is0() ? 'ZERO' : this.toHex()}>`;
-        }
-        // TODO: remove
-        get ex() {
-            return this.X;
-        }
-        get ey() {
-            return this.Y;
-        }
-        get ez() {
-            return this.Z;
-        }
-        get et() {
-            return this.T;
-        }
-        static normalizeZ(points) {
-            return normalizeZ(Point, points);
-        }
-        static msm(points, scalars) {
-            return pippenger(Point, Fn, points, scalars);
-        }
-        _setWindowSize(windowSize) {
-            this.precompute(windowSize);
-        }
-        toRawBytes() {
-            return this.toBytes();
-        }
-    }
-    // base / generator point
-    Point.BASE = new Point(CURVE.Gx, CURVE.Gy, _1n, modP(CURVE.Gx * CURVE.Gy));
-    // zero / infinity / identity point
-    Point.ZERO = new Point(_0n, _1n, _1n, _0n); // 0, 1, 1, 0
-    // math field
-    Point.Fp = Fp;
-    // scalar field
-    Point.Fn = Fn;
-    const wnaf = new wNAF(Point, Fn.BITS);
-    Point.BASE.precompute(8); // Enable precomputes. Slows down first publicKey computation by 20ms.
-    return Point;
-}
-/**
- * Base class for prime-order points like Ristretto255 and Decaf448.
- * These points eliminate cofactor issues by representing equivalence classes
- * of Edwards curve points.
- */
-export class PrimeEdwardsPoint {
-    constructor(ep) {
-        this.ep = ep;
-    }
-    // Static methods that must be implemented by subclasses
-    static fromBytes(_bytes) {
-        notImplemented();
-    }
-    static fromHex(_hex) {
-        notImplemented();
-    }
-    get x() {
-        return this.toAffine().x;
-    }
-    get y() {
-        return this.toAffine().y;
-    }
-    // Common implementations
-    clearCofactor() {
-        // no-op for prime-order groups
-        return this;
-    }
-    assertValidity() {
-        this.ep.assertValidity();
-    }
-    toAffine(invertedZ) {
-        return this.ep.toAffine(invertedZ);
-    }
-    toHex() {
-        return bytesToHex(this.toBytes());
-    }
-    toString() {
-        return this.toHex();
-    }
-    isTorsionFree() {
-        return true;
-    }
-    isSmallOrder() {
-        return false;
-    }
-    add(other) {
-        this.assertSame(other);
-        return this.init(this.ep.add(other.ep));
-    }
-    subtract(other) {
-        this.assertSame(other);
-        return this.init(this.ep.subtract(other.ep));
-    }
-    multiply(scalar) {
-        return this.init(this.ep.multiply(scalar));
-    }
-    multiplyUnsafe(scalar) {
-        return this.init(this.ep.multiplyUnsafe(scalar));
-    }
-    double() {
-        return this.init(this.ep.double());
-    }
-    negate() {
-        return this.init(this.ep.negate());
-    }
-    precompute(windowSize, isLazy) {
-        return this.init(this.ep.precompute(windowSize, isLazy));
-    }
-    /** @deprecated use `toBytes` */
-    toRawBytes() {
-        return this.toBytes();
-    }
-}
-/**
- * Initializes EdDSA signatures over given Edwards curve.
- */
-export function eddsa(Point, cHash, eddsaOpts = {}) {
-    if (typeof cHash !== 'function')
-        throw new Error('"hash" function param is required');
-    _validateObject(eddsaOpts, {}, {
-        adjustScalarBytes: 'function',
-        randomBytes: 'function',
-        domain: 'function',
-        prehash: 'function',
-        mapToCurve: 'function',
-    });
-    const { prehash } = eddsaOpts;
-    const { BASE, Fp, Fn } = Point;
-    const randomBytes = eddsaOpts.randomBytes || randomBytesWeb;
-    const adjustScalarBytes = eddsaOpts.adjustScalarBytes || ((bytes) => bytes);
-    const domain = eddsaOpts.domain ||
-        ((data, ctx, phflag) => {
-            abool(phflag, 'phflag');
-            if (ctx.length || phflag)
-                throw new Error('Contexts/pre-hash are not supported');
-            return data;
-        }); // NOOP
-    // Little-endian SHA512 with modulo n
-    function modN_LE(hash) {
-        return Fn.create(bytesToNumberLE(hash)); // Not Fn.fromBytes: it has length limit
-    }
-    // Get the hashed private scalar per RFC8032 5.1.5
-    function getPrivateScalar(key) {
-        const len = lengths.secretKey;
-        key = ensureBytes('private key', key, len);
-        // Hash private key with curve's hash function to produce uniformingly random input
-        // Check byte lengths: ensure(64, h(ensure(32, key)))
-        const hashed = ensureBytes('hashed private key', cHash(key), 2 * len);
-        const head = adjustScalarBytes(hashed.slice(0, len)); // clear first half bits, produce FE
-        const prefix = hashed.slice(len, 2 * len); // second half is called key prefix (5.1.6)
-        const scalar = modN_LE(head); // The actual private scalar
-        return { head, prefix, scalar };
-    }
-    /** Convenience method that creates public key from scalar. RFC8032 5.1.5 */
-    function getExtendedPublicKey(secretKey) {
-        const { head, prefix, scalar } = getPrivateScalar(secretKey);
-        const point = BASE.multiply(scalar); // Point on Edwards curve aka public key
-        const pointBytes = point.toBytes();
-        return { head, prefix, scalar, point, pointBytes };
-    }
-    /** Calculates EdDSA pub key. RFC8032 5.1.5. */
-    function getPublicKey(secretKey) {
-        return getExtendedPublicKey(secretKey).pointBytes;
-    }
-    // int('LE', SHA512(dom2(F, C) || msgs)) mod N
-    function hashDomainToScalar(context = Uint8Array.of(), ...msgs) {
-        const msg = concatBytes(...msgs);
-        return modN_LE(cHash(domain(msg, ensureBytes('context', context), !!prehash)));
-    }
-    /** Signs message with privateKey. RFC8032 5.1.6 */
-    function sign(msg, secretKey, options = {}) {
-        msg = ensureBytes('message', msg);
-        if (prehash)
-            msg = prehash(msg); // for ed25519ph etc.
-        const { prefix, scalar, pointBytes } = getExtendedPublicKey(secretKey);
-        const r = hashDomainToScalar(options.context, prefix, msg); // r = dom2(F, C) || prefix || PH(M)
-        const R = BASE.multiply(r).toBytes(); // R = rG
-        const k = hashDomainToScalar(options.context, R, pointBytes, msg); // R || A || PH(M)
-        const s = Fn.create(r + k * scalar); // S = (r + k * s) mod L
-        if (!Fn.isValid(s))
-            throw new Error('sign failed: invalid s'); // 0 <= s < L
-        const rs = concatBytes(R, Fn.toBytes(s));
-        return abytes(rs, lengths.signature, 'result');
-    }
-    // verification rule is either zip215 or rfc8032 / nist186-5. Consult fromHex:
-    const verifyOpts = { zip215: true };
-    /**
-     * Verifies EdDSA signature against message and public key. RFC8032 5.1.7.
-     * An extended group equation is checked.
-     */
-    function verify(sig, msg, publicKey, options = verifyOpts) {
-        const { context, zip215 } = options;
-        const len = lengths.signature;
-        sig = ensureBytes('signature', sig, len);
-        msg = ensureBytes('message', msg);
-        publicKey = ensureBytes('publicKey', publicKey, lengths.publicKey);
-        if (zip215 !== undefined)
-            abool(zip215, 'zip215');
-        if (prehash)
-            msg = prehash(msg); // for ed25519ph, etc
-        const mid = len / 2;
-        const r = sig.subarray(0, mid);
-        const s = bytesToNumberLE(sig.subarray(mid, len));
-        let A, R, SB;
-        try {
-            // zip215=true is good for consensus-critical apps. =false follows RFC8032 / NIST186-5.
-            // zip215=true:  0 <= y < MASK (2^256 for ed25519)
-            // zip215=false: 0 <= y < P (2^255-19 for ed25519)
-            A = Point.fromBytes(publicKey, zip215);
-            R = Point.fromBytes(r, zip215);
-            SB = BASE.multiplyUnsafe(s); // 0 <= s < l is done inside
-        }
-        catch (error) {
-            return false;
-        }
-        if (!zip215 && A.isSmallOrder())
-            return false; // zip215 allows public keys of small order
-        const k = hashDomainToScalar(context, R.toBytes(), A.toBytes(), msg);
-        const RkA = R.add(A.multiplyUnsafe(k));
-        // Extended group equation
-        // [8][S]B = [8]R + [8][k]A'
-        return RkA.subtract(SB).clearCofactor().is0();
-    }
-    const _size = Fp.BYTES; // 32 for ed25519, 57 for ed448
-    const lengths = {
-        secretKey: _size,
-        publicKey: _size,
-        signature: 2 * _size,
-        seed: _size,
-    };
-    function randomSecretKey(seed = randomBytes(lengths.seed)) {
-        return abytes(seed, lengths.seed, 'seed');
-    }
-    function keygen(seed) {
-        const secretKey = utils.randomSecretKey(seed);
-        return { secretKey, publicKey: getPublicKey(secretKey) };
-    }
-    function isValidSecretKey(key) {
-        return isBytes(key) && key.length === Fn.BYTES;
-    }
-    function isValidPublicKey(key, zip215) {
-        try {
-            return !!Point.fromBytes(key, zip215);
-        }
-        catch (error) {
-            return false;
-        }
-    }
-    const utils = {
-        getExtendedPublicKey,
-        randomSecretKey,
-        isValidSecretKey,
-        isValidPublicKey,
-        /**
-         * Converts ed public key to x public key. Uses formula:
-         * - ed25519:
-         *   - `(u, v) = ((1+y)/(1-y), sqrt(-486664)*u/x)`
-         *   - `(x, y) = (sqrt(-486664)*u/v, (u-1)/(u+1))`
-         * - ed448:
-         *   - `(u, v) = ((y-1)/(y+1), sqrt(156324)*u/x)`
-         *   - `(x, y) = (sqrt(156324)*u/v, (1+u)/(1-u))`
-         */
-        toMontgomery(publicKey) {
-            const { y } = Point.fromBytes(publicKey);
-            const size = lengths.publicKey;
-            const is25519 = size === 32;
-            if (!is25519 && size !== 57)
-                throw new Error('only defined for 25519 and 448');
-            const u = is25519 ? Fp.div(_1n + y, _1n - y) : Fp.div(y - _1n, y + _1n);
-            return Fp.toBytes(u);
-        },
-        toMontgomeryPriv(secretKey) {
-            const size = lengths.secretKey;
-            abytes(secretKey, size);
-            const hashed = cHash(secretKey.subarray(0, size));
-            return adjustScalarBytes(hashed).subarray(0, size);
-        },
-        /** @deprecated */
-        randomPrivateKey: randomSecretKey,
-        /** @deprecated */
-        precompute(windowSize = 8, point = Point.BASE) {
-            return point.precompute(windowSize, false);
-        },
-    };
-    return Object.freeze({
-        keygen,
-        getPublicKey,
-        sign,
-        verify,
-        utils,
-        Point,
-        lengths,
-    });
-}
-function _eddsa_legacy_opts_to_new(c) {
-    const CURVE = {
-        a: c.a,
-        d: c.d,
-        p: c.Fp.ORDER,
-        n: c.n,
-        h: c.h,
-        Gx: c.Gx,
-        Gy: c.Gy,
-    };
-    const Fp = c.Fp;
-    const Fn = Field(CURVE.n, c.nBitLength, true);
-    const curveOpts = { Fp, Fn, uvRatio: c.uvRatio };
-    const eddsaOpts = {
-        randomBytes: c.randomBytes,
-        adjustScalarBytes: c.adjustScalarBytes,
-        domain: c.domain,
-        prehash: c.prehash,
-        mapToCurve: c.mapToCurve,
-    };
-    return { CURVE, curveOpts, hash: c.hash, eddsaOpts };
-}
-function _eddsa_new_output_to_legacy(c, eddsa) {
-    const Point = eddsa.Point;
-    const legacy = Object.assign({}, eddsa, {
-        ExtendedPoint: Point,
-        CURVE: c,
-        nBitLength: Point.Fn.BITS,
-        nByteLength: Point.Fn.BYTES,
-    });
-    return legacy;
-}
-// TODO: remove. Use eddsa
-export function twistedEdwards(c) {
-    const { CURVE, curveOpts, hash, eddsaOpts } = _eddsa_legacy_opts_to_new(c);
-    const Point = edwards(CURVE, curveOpts);
-    const EDDSA = eddsa(Point, hash, eddsaOpts);
-    return _eddsa_new_output_to_legacy(c, EDDSA);
-}
-//# sourceMappingURL=edwards.js.map

esm/abstract/edwards.js.map

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esm/abstract/fft.d.ts

-/**
- * Experimental implementation of NTT / FFT (Fast Fourier Transform) over finite fields.
- * API may change at any time. The code has not been audited. Feature requests are welcome.
- * @module
- */
-import type { IField } from './modular.ts';
-export interface MutableArrayLike<T> {
-    [index: number]: T;
-    length: number;
-    slice(start?: number, end?: number): this;
-    [Symbol.iterator](): Iterator<T>;
-}
-/** Checks if integer is in form of `1 << X` */
-export declare function isPowerOfTwo(x: number): boolean;
-export declare function nextPowerOfTwo(n: number): number;
-export declare function reverseBits(n: number, bits: number): number;
-/** Similar to `bitLen(x)-1` but much faster for small integers, like indices */
-export declare function log2(n: number): number;
-/**
- * Moves lowest bit to highest position, which at first step splits
- * array on even and odd indices, then it applied again to each part,
- * which is core of fft
- */
-export declare function bitReversalInplace<T extends MutableArrayLike<any>>(values: T): T;
-export declare function bitReversalPermutation<T>(values: T[]): T[];
-export type RootsOfUnity = {
-    roots: (bits: number) => bigint[];
-    brp(bits: number): bigint[];
-    inverse(bits: number): bigint[];
-    omega: (bits: number) => bigint;
-    clear: () => void;
-};
-/** We limit roots up to 2**31, which is a lot: 2-billion polynomimal should be rare. */
-export declare function rootsOfUnity(field: IField<bigint>, generator?: bigint): RootsOfUnity;
-export type Polynomial<T> = MutableArrayLike<T>;
-/**
- * Maps great to Field<bigint>, but not to Group (EC points):
- * - inv from scalar field
- * - we need multiplyUnsafe here, instead of multiply for speed
- * - multiplyUnsafe is safe in the context: we do mul(rootsOfUnity), which are public and sparse
- */
-export type FFTOpts<T, R> = {
-    add: (a: T, b: T) => T;
-    sub: (a: T, b: T) => T;
-    mul: (a: T, scalar: R) => T;
-    inv: (a: R) => R;
-};
-export type FFTCoreOpts<R> = {
-    N: number;
-    roots: Polynomial<R>;
-    dit: boolean;
-    invertButterflies?: boolean;
-    skipStages?: number;
-    brp?: boolean;
-};
-export type FFTCoreLoop<T> = <P extends Polynomial<T>>(values: P) => P;
-/**
- * Constructs different flavors of FFT. radix2 implementation of low level mutating API. Flavors:
- *
- * - DIT (Decimation-in-Time): Bottom-Up (leaves -> root), Cool-Turkey
- * - DIF (Decimation-in-Frequency): Top-Down (root -> leaves), Gentleman–Sande
- *
- * DIT takes brp input, returns natural output.
- * DIF takes natural input, returns brp output.
- *
- * The output is actually identical. Time / frequence distinction is not meaningful
- * for Polynomial multiplication in fields.
- * Which means if protocol supports/needs brp output/inputs, then we can skip this step.
- *
- * Cyclic NTT: Rq = Zq[x]/(x^n-1). butterfly_DIT+loop_DIT OR butterfly_DIF+loop_DIT, roots are omega
- * Negacyclic NTT: Rq = Zq[x]/(x^n+1). butterfly_DIT+loop_DIF, at least for mlkem / mldsa
- */
-export declare const FFTCore: <T, R>(F: FFTOpts<T, R>, coreOpts: FFTCoreOpts<R>) => FFTCoreLoop<T>;
-export type FFTMethods<T> = {
-    direct<P extends Polynomial<T>>(values: P, brpInput?: boolean, brpOutput?: boolean): P;
-    inverse<P extends Polynomial<T>>(values: P, brpInput?: boolean, brpOutput?: boolean): P;
-};
-/**
- * NTT aka FFT over finite field (NOT over complex numbers).
- * Naming mirrors other libraries.
- */
-export declare function FFT<T>(roots: RootsOfUnity, opts: FFTOpts<T, bigint>): FFTMethods<T>;
-export type CreatePolyFn<P extends Polynomial<T>, T> = (len: number, elm?: T) => P;
-export type PolyFn<P extends Polynomial<T>, T> = {
-    roots: RootsOfUnity;
-    create: CreatePolyFn<P, T>;
-    length?: number;
-    degree: (a: P) => number;
-    extend: (a: P, len: number) => P;
-    add: (a: P, b: P) => P;
-    sub: (a: P, b: P) => P;
-    mul: (a: P, b: P | T) => P;
-    dot: (a: P, b: P) => P;
-    convolve: (a: P, b: P) => P;
-    shift: (p: P, factor: bigint) => P;
-    clone: (a: P) => P;
-    eval: (a: P, basis: P) => T;
-    monomial: {
-        basis: (x: T, n: number) => P;
-        eval: (a: P, x: T) => T;
-    };
-    lagrange: {
-        basis: (x: T, n: number, brp?: boolean) => P;
-        eval: (a: P, x: T, brp?: boolean) => T;
-    };
-    vanishing: (roots: P) => P;
-};
-/**
- * Poly wants a cracker.
- *
- * Polynomials are functions like `y=f(x)`, which means when we multiply two polynomials, result is
- * function `f3(x) = f1(x) * f2(x)`, we don't multiply values. Key takeaways:
- *
- * - **Polynomial** is an array of coefficients: `f(x) = sum(coeff[i] * basis[i](x))`
- * - **Basis** is array of functions
- * - **Monominal** is Polynomial where `basis[i](x) == x**i` (powers)
- * - **Array size** is domain size
- * - **Lattice** is matrix (Polynomial of Polynomials)
- */
-export declare function poly<T>(field: IField<T>, roots: RootsOfUnity, create?: undefined, fft?: FFTMethods<T>, length?: number): PolyFn<T[], T>;
-export declare function poly<T, P extends Polynomial<T>>(field: IField<T>, roots: RootsOfUnity, create: CreatePolyFn<P, T>, fft?: FFTMethods<T>, length?: number): PolyFn<P, T>;
-//# sourceMappingURL=fft.d.ts.map

esm/abstract/fft.d.ts.map

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esm/abstract/fft.js

-function checkU32(n) {
-    // 0xff_ff_ff_ff
-    if (!Number.isSafeInteger(n) || n < 0 || n > 0xffffffff)
-        throw new Error('wrong u32 integer:' + n);
-    return n;
-}
-/** Checks if integer is in form of `1 << X` */
-export function isPowerOfTwo(x) {
-    checkU32(x);
-    return (x & (x - 1)) === 0 && x !== 0;
-}
-export function nextPowerOfTwo(n) {
-    checkU32(n);
-    if (n <= 1)
-        return 1;
-    return (1 << (log2(n - 1) + 1)) >>> 0;
-}
-export function reverseBits(n, bits) {
-    checkU32(n);
-    let reversed = 0;
-    for (let i = 0; i < bits; i++, n >>>= 1)
-        reversed = (reversed << 1) | (n & 1);
-    return reversed;
-}
-/** Similar to `bitLen(x)-1` but much faster for small integers, like indices */
-export function log2(n) {
-    checkU32(n);
-    return 31 - Math.clz32(n);
-}
-/**
- * Moves lowest bit to highest position, which at first step splits
- * array on even and odd indices, then it applied again to each part,
- * which is core of fft
- */
-export function bitReversalInplace(values) {
-    const n = values.length;
-    if (n < 2 || !isPowerOfTwo(n))
-        throw new Error('n must be a power of 2 and greater than 1. Got ' + n);
-    const bits = log2(n);
-    for (let i = 0; i < n; i++) {
-        const j = reverseBits(i, bits);
-        if (i < j) {
-            const tmp = values[i];
-            values[i] = values[j];
-            values[j] = tmp;
-        }
-    }
-    return values;
-}
-export function bitReversalPermutation(values) {
-    return bitReversalInplace(values.slice());
-}
-const _1n = /** @__PURE__ */ BigInt(1);
-function findGenerator(field) {
-    let G = BigInt(2);
-    for (; field.eql(field.pow(G, field.ORDER >> _1n), field.ONE); G++)
-        ;
-    return G;
-}
-/** We limit roots up to 2**31, which is a lot: 2-billion polynomimal should be rare. */
-export function rootsOfUnity(field, generator) {
-    // Factor field.ORDER-1 as oddFactor * 2^powerOfTwo
-    let oddFactor = field.ORDER - _1n;
-    let powerOfTwo = 0;
-    for (; (oddFactor & _1n) !== _1n; powerOfTwo++, oddFactor >>= _1n)
-        ;
-    // Find non quadratic residue
-    let G = generator !== undefined ? BigInt(generator) : findGenerator(field);
-    // Powers of generator
-    const omegas = new Array(powerOfTwo + 1);
-    omegas[powerOfTwo] = field.pow(G, oddFactor);
-    for (let i = powerOfTwo; i > 0; i--)
-        omegas[i - 1] = field.sqr(omegas[i]);
-    // Compute all roots of unity for powers up to maxPower
-    const rootsCache = [];
-    const checkBits = (bits) => {
-        checkU32(bits);
-        if (bits > 31 || bits > powerOfTwo)
-            throw new Error('rootsOfUnity: wrong bits ' + bits + ' powerOfTwo=' + powerOfTwo);
-        return bits;
-    };
-    const precomputeRoots = (maxPower) => {
-        checkBits(maxPower);
-        for (let power = maxPower; power >= 0; power--) {
-            if (rootsCache[power])
-                continue; // Skip if we've already computed roots for this power
-            const rootsAtPower = [];
-            for (let j = 0, cur = field.ONE; j < 2 ** power; j++, cur = field.mul(cur, omegas[power]))
-                rootsAtPower.push(cur);
-            rootsCache[power] = rootsAtPower;
-        }
-        return rootsCache[maxPower];
-    };
-    const brpCache = new Map();
-    const inverseCache = new Map();
-    // NOTE: we use bits instead of power, because power = 2**bits,
-    // but power is not neccesary isPowerOfTwo(power)!
-    return {
-        roots: (bits) => {
-            const b = checkBits(bits);
-            return precomputeRoots(b);
-        },
-        brp(bits) {
-            const b = checkBits(bits);
-            if (brpCache.has(b))
-                return brpCache.get(b);
-            else {
-                const res = bitReversalPermutation(this.roots(b));
-                brpCache.set(b, res);
-                return res;
-            }
-        },
-        inverse(bits) {
-            const b = checkBits(bits);
-            if (inverseCache.has(b))
-                return inverseCache.get(b);
-            else {
-                const res = field.invertBatch(this.roots(b));
-                inverseCache.set(b, res);
-                return res;
-            }
-        },
-        omega: (bits) => omegas[checkBits(bits)],
-        clear: () => {
-            rootsCache.splice(0, rootsCache.length);
-            brpCache.clear();
-        },
-    };
-}
-/**
- * Constructs different flavors of FFT. radix2 implementation of low level mutating API. Flavors:
- *
- * - DIT (Decimation-in-Time): Bottom-Up (leaves -> root), Cool-Turkey
- * - DIF (Decimation-in-Frequency): Top-Down (root -> leaves), Gentleman–Sande
- *
- * DIT takes brp input, returns natural output.
- * DIF takes natural input, returns brp output.
- *
- * The output is actually identical. Time / frequence distinction is not meaningful
- * for Polynomial multiplication in fields.
- * Which means if protocol supports/needs brp output/inputs, then we can skip this step.
- *
- * Cyclic NTT: Rq = Zq[x]/(x^n-1). butterfly_DIT+loop_DIT OR butterfly_DIF+loop_DIT, roots are omega
- * Negacyclic NTT: Rq = Zq[x]/(x^n+1). butterfly_DIT+loop_DIF, at least for mlkem / mldsa
- */
-export const FFTCore = (F, coreOpts) => {
-    const { N, roots, dit, invertButterflies = false, skipStages = 0, brp = true } = coreOpts;
-    const bits = log2(N);
-    if (!isPowerOfTwo(N))
-        throw new Error('FFT: Polynomial size should be power of two');
-    const isDit = dit !== invertButterflies;
-    isDit;
-    return (values) => {
-        if (values.length !== N)
-            throw new Error('FFT: wrong Polynomial length');
-        if (dit && brp)
-            bitReversalInplace(values);
-        for (let i = 0, g = 1; i < bits - skipStages; i++) {
-            // For each stage s (sub-FFT length m = 2^s)
-            const s = dit ? i + 1 + skipStages : bits - i;
-            const m = 1 << s;
-            const m2 = m >> 1;
-            const stride = N >> s;
-            // Loop over each subarray of length m
-            for (let k = 0; k < N; k += m) {
-                // Loop over each butterfly within the subarray
-                for (let j = 0, grp = g++; j < m2; j++) {
-                    const rootPos = invertButterflies ? (dit ? N - grp : grp) : j * stride;
-                    const i0 = k + j;
-                    const i1 = k + j + m2;
-                    const omega = roots[rootPos];
-                    const b = values[i1];
-                    const a = values[i0];
-                    // Inlining gives us 10% perf in kyber vs functions
-                    if (isDit) {
-                        const t = F.mul(b, omega); // Standard DIT butterfly
-                        values[i0] = F.add(a, t);
-                        values[i1] = F.sub(a, t);
-                    }
-                    else if (invertButterflies) {
-                        values[i0] = F.add(b, a); // DIT loop + inverted butterflies (Kyber decode)
-                        values[i1] = F.mul(F.sub(b, a), omega);
-                    }
-                    else {
-                        values[i0] = F.add(a, b); // Standard DIF butterfly
-                        values[i1] = F.mul(F.sub(a, b), omega);
-                    }
-                }
-            }
-        }
-        if (!dit && brp)
-            bitReversalInplace(values);
-        return values;
-    };
-};
-/**
- * NTT aka FFT over finite field (NOT over complex numbers).
- * Naming mirrors other libraries.
- */
-export function FFT(roots, opts) {
-    const getLoop = (N, roots, brpInput = false, brpOutput = false) => {
-        if (brpInput && brpOutput) {
-            // we cannot optimize this case, but lets support it anyway
-            return (values) => FFTCore(opts, { N, roots, dit: false, brp: false })(bitReversalInplace(values));
-        }
-        if (brpInput)
-            return FFTCore(opts, { N, roots, dit: true, brp: false });
-        if (brpOutput)
-            return FFTCore(opts, { N, roots, dit: false, brp: false });
-        return FFTCore(opts, { N, roots, dit: true, brp: true }); // all natural
-    };
-    return {
-        direct(values, brpInput = false, brpOutput = false) {
-            const N = values.length;
-            if (!isPowerOfTwo(N))
-                throw new Error('FFT: Polynomial size should be power of two');
-            const bits = log2(N);
-            return getLoop(N, roots.roots(bits), brpInput, brpOutput)(values.slice());
-        },
-        inverse(values, brpInput = false, brpOutput = false) {
-            const N = values.length;
-            const bits = log2(N);
-            const res = getLoop(N, roots.inverse(bits), brpInput, brpOutput)(values.slice());
-            const ivm = opts.inv(BigInt(values.length)); // scale
-            // we can get brp output if we use dif instead of dit!
-            for (let i = 0; i < res.length; i++)
-                res[i] = opts.mul(res[i], ivm);
-            // Allows to re-use non-inverted roots, but is VERY fragile
-            // return [res[0]].concat(res.slice(1).reverse());
-            // inverse calculated as pow(-1), which transforms into ω^{-kn} (-> reverses indices)
-            return res;
-        },
-    };
-}
-export function poly(field, roots, create, fft, length) {
-    const F = field;
-    const _create = create ||
-        ((len, elm) => new Array(len).fill(elm ?? F.ZERO));
-    const isPoly = (x) => Array.isArray(x) || ArrayBuffer.isView(x);
-    const checkLength = (...lst) => {
-        if (!lst.length)
-            return 0;
-        for (const i of lst)
-            if (!isPoly(i))
-                throw new Error('poly: not polynomial: ' + i);
-        const L = lst[0].length;
-        for (let i = 1; i < lst.length; i++)
-            if (lst[i].length !== L)
-                throw new Error(`poly: mismatched lengths ${L} vs ${lst[i].length}`);
-        if (length !== undefined && L !== length)
-            throw new Error(`poly: expected fixed length ${length}, got ${L}`);
-        return L;
-    };
-    function findOmegaIndex(x, n, brp = false) {
-        const bits = log2(n);
-        const omega = brp ? roots.brp(bits) : roots.roots(bits);
-        for (let i = 0; i < n; i++)
-            if (F.eql(x, omega[i]))
-                return i;
-        return -1;
-    }
-    // TODO: mutating versions for mlkem/mldsa
-    return {
-        roots,
-        create: _create,
-        length,
-        extend: (a, len) => {
-            checkLength(a);
-            const out = _create(len, F.ZERO);
-            for (let i = 0; i < a.length; i++)
-                out[i] = a[i];
-            return out;
-        },
-        degree: (a) => {
-            checkLength(a);
-            for (let i = a.length - 1; i >= 0; i--)
-                if (!F.is0(a[i]))
-                    return i;
-            return -1;
-        },
-        add: (a, b) => {
-            const len = checkLength(a, b);
-            const out = _create(len);
-            for (let i = 0; i < len; i++)
-                out[i] = F.add(a[i], b[i]);
-            return out;
-        },
-        sub: (a, b) => {
-            const len = checkLength(a, b);
-            const out = _create(len);
-            for (let i = 0; i < len; i++)
-                out[i] = F.sub(a[i], b[i]);
-            return out;
-        },
-        dot: (a, b) => {
-            const len = checkLength(a, b);
-            const out = _create(len);
-            for (let i = 0; i < len; i++)
-                out[i] = F.mul(a[i], b[i]);
-            return out;
-        },
-        mul: (a, b) => {
-            if (isPoly(b)) {
-                const len = checkLength(a, b);
-                if (fft) {
-                    const A = fft.direct(a, false, true);
-                    const B = fft.direct(b, false, true);
-                    for (let i = 0; i < A.length; i++)
-                        A[i] = F.mul(A[i], B[i]);
-                    return fft.inverse(A, true, false);
-                }
-                else {
-                    // NOTE: this is quadratic and mostly for compat tests with FFT
-                    const res = _create(len);
-                    for (let i = 0; i < len; i++) {
-                        for (let j = 0; j < len; j++) {
-                            const k = (i + j) % len; // wrap mod length
-                            res[k] = F.add(res[k], F.mul(a[i], b[j]));
-                        }
-                    }
-                    return res;
-                }
-            }
-            else {
-                const out = _create(checkLength(a));
-                for (let i = 0; i < out.length; i++)
-                    out[i] = F.mul(a[i], b);
-                return out;
-            }
-        },
-        convolve(a, b) {
-            const len = nextPowerOfTwo(a.length + b.length - 1);
-            return this.mul(this.extend(a, len), this.extend(b, len));
-        },
-        shift(p, factor) {
-            const out = _create(checkLength(p));
-            out[0] = p[0];
-            for (let i = 1, power = F.ONE; i < p.length; i++) {
-                power = F.mul(power, factor);
-                out[i] = F.mul(p[i], power);
-            }
-            return out;
-        },
-        clone: (a) => {
-            checkLength(a);
-            const out = _create(a.length);
-            for (let i = 0; i < a.length; i++)
-                out[i] = a[i];
-            return out;
-        },
-        eval: (a, basis) => {
-            checkLength(a);
-            let acc = F.ZERO;
-            for (let i = 0; i < a.length; i++)
-                acc = F.add(acc, F.mul(a[i], basis[i]));
-            return acc;
-        },
-        monomial: {
-            basis: (x, n) => {
-                const out = _create(n);
-                let pow = F.ONE;
-                for (let i = 0; i < n; i++) {
-                    out[i] = pow;
-                    pow = F.mul(pow, x);
-                }
-                return out;
-            },
-            eval: (a, x) => {
-                checkLength(a);
-                // Same as eval(a, monomialBasis(x, a.length)), but it is faster this way
-                let acc = F.ZERO;
-                for (let i = a.length - 1; i >= 0; i--)
-                    acc = F.add(F.mul(acc, x), a[i]);
-                return acc;
-            },
-        },
-        lagrange: {
-            basis: (x, n, brp = false, weights) => {
-                const bits = log2(n);
-                const cache = weights || brp ? roots.brp(bits) : roots.roots(bits); // [ω⁰, ω¹, ..., ωⁿ⁻¹]
-                const out = _create(n);
-                // Fast Kronecker-δ shortcut
-                const idx = findOmegaIndex(x, n, brp);
-                if (idx !== -1) {
-                    out[idx] = F.ONE;
-                    return out;
-                }
-                const tm = F.pow(x, BigInt(n));
-                const c = F.mul(F.sub(tm, F.ONE), F.inv(BigInt(n))); // c = (xⁿ - 1)/n
-                const denom = _create(n);
-                for (let i = 0; i < n; i++)
-                    denom[i] = F.sub(x, cache[i]);
-                const inv = F.invertBatch(denom);
-                for (let i = 0; i < n; i++)
-                    out[i] = F.mul(c, F.mul(cache[i], inv[i]));
-                return out;
-            },
-            eval(a, x, brp = false) {
-                checkLength(a);
-                const idx = findOmegaIndex(x, a.length, brp);
-                if (idx !== -1)
-                    return a[idx]; // fast path
-                const L = this.basis(x, a.length, brp); // Lᵢ(x)
-                let acc = F.ZERO;
-                for (let i = 0; i < a.length; i++)
-                    if (!F.is0(a[i]))
-                        acc = F.add(acc, F.mul(a[i], L[i]));
-                return acc;
-            },
-        },
-        vanishing(roots) {
-            checkLength(roots);
-            const out = _create(roots.length + 1, F.ZERO);
-            out[0] = F.ONE;
-            for (const r of roots) {
-                const neg = F.neg(r);
-                for (let j = out.length - 1; j > 0; j--)
-                    out[j] = F.add(F.mul(out[j], neg), out[j - 1]);
-                out[0] = F.mul(out[0], neg);
-            }
-            return out;
-        },
-    };
-}
-//# sourceMappingURL=fft.js.map

esm/abstract/fft.js.map

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esm/abstract/hash-to-curve.d.ts

-/**
- * hash-to-curve from RFC 9380.
- * Hashes arbitrary-length byte strings to a list of one or more elements of a finite field F.
- * https://www.rfc-editor.org/rfc/rfc9380
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import type { CHash } from '../utils.ts';
-import type { AffinePoint, Group, GroupConstructor } from './curve.ts';
-import { type IField } from './modular.ts';
-export type UnicodeOrBytes = string | Uint8Array;
-/**
- * * `DST` is a domain separation tag, defined in section 2.2.5
- * * `p` characteristic of F, where F is a finite field of characteristic p and order q = p^m
- * * `m` is extension degree (1 for prime fields)
- * * `k` is the target security target in bits (e.g. 128), from section 5.1
- * * `expand` is `xmd` (SHA2, SHA3, BLAKE) or `xof` (SHAKE, BLAKE-XOF)
- * * `hash` conforming to `utils.CHash` interface, with `outputLen` / `blockLen` props
- */
-export type H2COpts = {
-    DST: UnicodeOrBytes;
-    expand: 'xmd' | 'xof';
-    hash: CHash;
-    p: bigint;
-    m: number;
-    k: number;
-};
-export type H2CHashOpts = {
-    expand: 'xmd' | 'xof';
-    hash: CHash;
-};
-export type Opts = H2COpts;
-/**
- * Produces a uniformly random byte string using a cryptographic hash function H that outputs b bits.
- * [RFC 9380 5.3.1](https://www.rfc-editor.org/rfc/rfc9380#section-5.3.1).
- */
-export declare function expand_message_xmd(msg: Uint8Array, DST: UnicodeOrBytes, lenInBytes: number, H: CHash): Uint8Array;
-/**
- * Produces a uniformly random byte string using an extendable-output function (XOF) H.
- * 1. The collision resistance of H MUST be at least k bits.
- * 2. H MUST be an XOF that has been proved indifferentiable from
- *    a random oracle under a reasonable cryptographic assumption.
- * [RFC 9380 5.3.2](https://www.rfc-editor.org/rfc/rfc9380#section-5.3.2).
- */
-export declare function expand_message_xof(msg: Uint8Array, DST: UnicodeOrBytes, lenInBytes: number, k: number, H: CHash): Uint8Array;
-/**
- * Hashes arbitrary-length byte strings to a list of one or more elements of a finite field F.
- * [RFC 9380 5.2](https://www.rfc-editor.org/rfc/rfc9380#section-5.2).
- * @param msg a byte string containing the message to hash
- * @param count the number of elements of F to output
- * @param options `{DST: string, p: bigint, m: number, k: number, expand: 'xmd' | 'xof', hash: H}`, see above
- * @returns [u_0, ..., u_(count - 1)], a list of field elements.
- */
-export declare function hash_to_field(msg: Uint8Array, count: number, options: H2COpts): bigint[][];
-export type XY<T> = (x: T, y: T) => {
-    x: T;
-    y: T;
-};
-export type XYRatio<T> = [T[], T[], T[], T[]];
-export declare function isogenyMap<T, F extends IField<T>>(field: F, map: XYRatio<T>): XY<T>;
-/** Point interface, which curves must implement to work correctly with the module. */
-export interface H2CPoint<T> extends Group<H2CPoint<T>> {
-    add(rhs: H2CPoint<T>): H2CPoint<T>;
-    toAffine(iz?: bigint): AffinePoint<T>;
-    clearCofactor(): H2CPoint<T>;
-    assertValidity(): void;
-}
-export interface H2CPointConstructor<T> extends GroupConstructor<H2CPoint<T>> {
-    fromAffine(ap: AffinePoint<T>): H2CPoint<T>;
-}
-export type MapToCurve<T> = (scalar: bigint[]) => AffinePoint<T>;
-export type htfBasicOpts = {
-    DST: UnicodeOrBytes;
-};
-export type H2CMethod<T> = (msg: Uint8Array, options?: htfBasicOpts) => H2CPoint<T>;
-export type HTFMethod<T> = H2CMethod<T>;
-export type MapMethod<T> = (scalars: bigint[]) => H2CPoint<T>;
-export type H2CHasherBase<T> = {
-    hashToCurve: H2CMethod<T>;
-    hashToScalar: (msg: Uint8Array, options: htfBasicOpts) => bigint;
-};
-/**
- * RFC 9380 methods, with cofactor clearing. See https://www.rfc-editor.org/rfc/rfc9380#section-3.
- *
- * * hashToCurve: `map(hash(input))`, encodes RANDOM bytes to curve (WITH hashing)
- * * encodeToCurve: `map(hash(input))`, encodes NON-UNIFORM bytes to curve (WITH hashing)
- * * mapToCurve: `map(scalars)`, encodes NON-UNIFORM scalars to curve (NO hashing)
- */
-export type H2CHasher<T> = H2CHasherBase<T> & {
-    encodeToCurve: H2CMethod<T>;
-    mapToCurve: MapMethod<T>;
-    defaults: H2COpts & {
-        encodeDST?: UnicodeOrBytes;
-    };
-};
-export type Hasher<T> = H2CHasher<T>;
-export declare const _DST_scalar: Uint8Array;
-/** Creates hash-to-curve methods from EC Point and mapToCurve function. See {@link H2CHasher}. */
-export declare function createHasher<T>(Point: H2CPointConstructor<T>, mapToCurve: MapToCurve<T>, defaults: H2COpts & {
-    encodeDST?: UnicodeOrBytes;
-}): H2CHasher<T>;
-//# sourceMappingURL=hash-to-curve.d.ts.map

esm/abstract/hash-to-curve.d.ts.map

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esm/abstract/hash-to-curve.js

-import { _validateObject, abytes, bytesToNumberBE, concatBytes, isBytes, isHash, utf8ToBytes, } from "../utils.js";
-import { FpInvertBatch, mod } from "./modular.js";
-// Octet Stream to Integer. "spec" implementation of os2ip is 2.5x slower vs bytesToNumberBE.
-const os2ip = bytesToNumberBE;
-// Integer to Octet Stream (numberToBytesBE)
-function i2osp(value, length) {
-    anum(value);
-    anum(length);
-    if (value < 0 || value >= 1 << (8 * length))
-        throw new Error('invalid I2OSP input: ' + value);
-    const res = Array.from({ length }).fill(0);
-    for (let i = length - 1; i >= 0; i--) {
-        res[i] = value & 0xff;
-        value >>>= 8;
-    }
-    return new Uint8Array(res);
-}
-function strxor(a, b) {
-    const arr = new Uint8Array(a.length);
-    for (let i = 0; i < a.length; i++) {
-        arr[i] = a[i] ^ b[i];
-    }
-    return arr;
-}
-function anum(item) {
-    if (!Number.isSafeInteger(item))
-        throw new Error('number expected');
-}
-function normDST(DST) {
-    if (!isBytes(DST) && typeof DST !== 'string')
-        throw new Error('DST must be Uint8Array or string');
-    return typeof DST === 'string' ? utf8ToBytes(DST) : DST;
-}
-/**
- * Produces a uniformly random byte string using a cryptographic hash function H that outputs b bits.
- * [RFC 9380 5.3.1](https://www.rfc-editor.org/rfc/rfc9380#section-5.3.1).
- */
-export function expand_message_xmd(msg, DST, lenInBytes, H) {
-    abytes(msg);
-    anum(lenInBytes);
-    DST = normDST(DST);
-    // https://www.rfc-editor.org/rfc/rfc9380#section-5.3.3
-    if (DST.length > 255)
-        DST = H(concatBytes(utf8ToBytes('H2C-OVERSIZE-DST-'), DST));
-    const { outputLen: b_in_bytes, blockLen: r_in_bytes } = H;
-    const ell = Math.ceil(lenInBytes / b_in_bytes);
-    if (lenInBytes > 65535 || ell > 255)
-        throw new Error('expand_message_xmd: invalid lenInBytes');
-    const DST_prime = concatBytes(DST, i2osp(DST.length, 1));
-    const Z_pad = i2osp(0, r_in_bytes);
-    const l_i_b_str = i2osp(lenInBytes, 2); // len_in_bytes_str
-    const b = new Array(ell);
-    const b_0 = H(concatBytes(Z_pad, msg, l_i_b_str, i2osp(0, 1), DST_prime));
-    b[0] = H(concatBytes(b_0, i2osp(1, 1), DST_prime));
-    for (let i = 1; i <= ell; i++) {
-        const args = [strxor(b_0, b[i - 1]), i2osp(i + 1, 1), DST_prime];
-        b[i] = H(concatBytes(...args));
-    }
-    const pseudo_random_bytes = concatBytes(...b);
-    return pseudo_random_bytes.slice(0, lenInBytes);
-}
-/**
- * Produces a uniformly random byte string using an extendable-output function (XOF) H.
- * 1. The collision resistance of H MUST be at least k bits.
- * 2. H MUST be an XOF that has been proved indifferentiable from
- *    a random oracle under a reasonable cryptographic assumption.
- * [RFC 9380 5.3.2](https://www.rfc-editor.org/rfc/rfc9380#section-5.3.2).
- */
-export function expand_message_xof(msg, DST, lenInBytes, k, H) {
-    abytes(msg);
-    anum(lenInBytes);
-    DST = normDST(DST);
-    // https://www.rfc-editor.org/rfc/rfc9380#section-5.3.3
-    // DST = H('H2C-OVERSIZE-DST-' || a_very_long_DST, Math.ceil((lenInBytes * k) / 8));
-    if (DST.length > 255) {
-        const dkLen = Math.ceil((2 * k) / 8);
-        DST = H.create({ dkLen }).update(utf8ToBytes('H2C-OVERSIZE-DST-')).update(DST).digest();
-    }
-    if (lenInBytes > 65535 || DST.length > 255)
-        throw new Error('expand_message_xof: invalid lenInBytes');
-    return (H.create({ dkLen: lenInBytes })
-        .update(msg)
-        .update(i2osp(lenInBytes, 2))
-        // 2. DST_prime = DST || I2OSP(len(DST), 1)
-        .update(DST)
-        .update(i2osp(DST.length, 1))
-        .digest());
-}
-/**
- * Hashes arbitrary-length byte strings to a list of one or more elements of a finite field F.
- * [RFC 9380 5.2](https://www.rfc-editor.org/rfc/rfc9380#section-5.2).
- * @param msg a byte string containing the message to hash
- * @param count the number of elements of F to output
- * @param options `{DST: string, p: bigint, m: number, k: number, expand: 'xmd' | 'xof', hash: H}`, see above
- * @returns [u_0, ..., u_(count - 1)], a list of field elements.
- */
-export function hash_to_field(msg, count, options) {
-    _validateObject(options, {
-        p: 'bigint',
-        m: 'number',
-        k: 'number',
-        hash: 'function',
-    });
-    const { p, k, m, hash, expand, DST } = options;
-    if (!isHash(options.hash))
-        throw new Error('expected valid hash');
-    abytes(msg);
-    anum(count);
-    const log2p = p.toString(2).length;
-    const L = Math.ceil((log2p + k) / 8); // section 5.1 of ietf draft link above
-    const len_in_bytes = count * m * L;
-    let prb; // pseudo_random_bytes
-    if (expand === 'xmd') {
-        prb = expand_message_xmd(msg, DST, len_in_bytes, hash);
-    }
-    else if (expand === 'xof') {
-        prb = expand_message_xof(msg, DST, len_in_bytes, k, hash);
-    }
-    else if (expand === '_internal_pass') {
-        // for internal tests only
-        prb = msg;
-    }
-    else {
-        throw new Error('expand must be "xmd" or "xof"');
-    }
-    const u = new Array(count);
-    for (let i = 0; i < count; i++) {
-        const e = new Array(m);
-        for (let j = 0; j < m; j++) {
-            const elm_offset = L * (j + i * m);
-            const tv = prb.subarray(elm_offset, elm_offset + L);
-            e[j] = mod(os2ip(tv), p);
-        }
-        u[i] = e;
-    }
-    return u;
-}
-export function isogenyMap(field, map) {
-    // Make same order as in spec
-    const coeff = map.map((i) => Array.from(i).reverse());
-    return (x, y) => {
-        const [xn, xd, yn, yd] = coeff.map((val) => val.reduce((acc, i) => field.add(field.mul(acc, x), i)));
-        // 6.6.3
-        // Exceptional cases of iso_map are inputs that cause the denominator of
-        // either rational function to evaluate to zero; such cases MUST return
-        // the identity point on E.
-        const [xd_inv, yd_inv] = FpInvertBatch(field, [xd, yd], true);
-        x = field.mul(xn, xd_inv); // xNum / xDen
-        y = field.mul(y, field.mul(yn, yd_inv)); // y * (yNum / yDev)
-        return { x, y };
-    };
-}
-export const _DST_scalar = utf8ToBytes('HashToScalar-');
-/** Creates hash-to-curve methods from EC Point and mapToCurve function. See {@link H2CHasher}. */
-export function createHasher(Point, mapToCurve, defaults) {
-    if (typeof mapToCurve !== 'function')
-        throw new Error('mapToCurve() must be defined');
-    function map(num) {
-        return Point.fromAffine(mapToCurve(num));
-    }
-    function clear(initial) {
-        const P = initial.clearCofactor();
-        if (P.equals(Point.ZERO))
-            return Point.ZERO; // zero will throw in assert
-        P.assertValidity();
-        return P;
-    }
-    return {
-        defaults,
-        hashToCurve(msg, options) {
-            const opts = Object.assign({}, defaults, options);
-            const u = hash_to_field(msg, 2, opts);
-            const u0 = map(u[0]);
-            const u1 = map(u[1]);
-            return clear(u0.add(u1));
-        },
-        encodeToCurve(msg, options) {
-            const optsDst = defaults.encodeDST ? { DST: defaults.encodeDST } : {};
-            const opts = Object.assign({}, defaults, optsDst, options);
-            const u = hash_to_field(msg, 1, opts);
-            const u0 = map(u[0]);
-            return clear(u0);
-        },
-        /** See {@link H2CHasher} */
-        mapToCurve(scalars) {
-            if (!Array.isArray(scalars))
-                throw new Error('expected array of bigints');
-            for (const i of scalars)
-                if (typeof i !== 'bigint')
-                    throw new Error('expected array of bigints');
-            return clear(map(scalars));
-        },
-        // hash_to_scalar can produce 0: https://www.rfc-editor.org/errata/eid8393
-        // RFC 9380, draft-irtf-cfrg-bbs-signatures-08
-        hashToScalar(msg, options) {
-            // @ts-ignore
-            const N = Point.Fn.ORDER;
-            const opts = Object.assign({}, defaults, { p: N, m: 1, DST: _DST_scalar }, options);
-            return hash_to_field(msg, 1, opts)[0][0];
-        },
-    };
-}
-//# sourceMappingURL=hash-to-curve.js.map

esm/abstract/hash-to-curve.js.map

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esm/abstract/modular.d.ts

-export declare function mod(a: bigint, b: bigint): bigint;
-/**
- * Efficiently raise num to power and do modular division.
- * Unsafe in some contexts: uses ladder, so can expose bigint bits.
- * @example
- * pow(2n, 6n, 11n) // 64n % 11n == 9n
- */
-export declare function pow(num: bigint, power: bigint, modulo: bigint): bigint;
-/** Does `x^(2^power)` mod p. `pow2(30, 4)` == `30^(2^4)` */
-export declare function pow2(x: bigint, power: bigint, modulo: bigint): bigint;
-/**
- * Inverses number over modulo.
- * Implemented using [Euclidean GCD](https://brilliant.org/wiki/extended-euclidean-algorithm/).
- */
-export declare function invert(number: bigint, modulo: bigint): bigint;
-/**
- * Tonelli-Shanks square root search algorithm.
- * 1. https://eprint.iacr.org/2012/685.pdf (page 12)
- * 2. Square Roots from 1; 24, 51, 10 to Dan Shanks
- * @param P field order
- * @returns function that takes field Fp (created from P) and number n
- */
-export declare function tonelliShanks(P: bigint): <T>(Fp: IField<T>, n: T) => T;
-/**
- * Square root for a finite field. Will try optimized versions first:
- *
- * 1. P ≡ 3 (mod 4)
- * 2. P ≡ 5 (mod 8)
- * 3. P ≡ 9 (mod 16)
- * 4. Tonelli-Shanks algorithm
- *
- * Different algorithms can give different roots, it is up to user to decide which one they want.
- * For example there is FpSqrtOdd/FpSqrtEven to choice root based on oddness (used for hash-to-curve).
- */
-export declare function FpSqrt(P: bigint): <T>(Fp: IField<T>, n: T) => T;
-export declare const isNegativeLE: (num: bigint, modulo: bigint) => boolean;
-/** Field is not always over prime: for example, Fp2 has ORDER(q)=p^m. */
-export interface IField<T> {
-    ORDER: bigint;
-    isLE: boolean;
-    BYTES: number;
-    BITS: number;
-    MASK: bigint;
-    ZERO: T;
-    ONE: T;
-    create: (num: T) => T;
-    isValid: (num: T) => boolean;
-    is0: (num: T) => boolean;
-    isValidNot0: (num: T) => boolean;
-    neg(num: T): T;
-    inv(num: T): T;
-    sqrt(num: T): T;
-    sqr(num: T): T;
-    eql(lhs: T, rhs: T): boolean;
-    add(lhs: T, rhs: T): T;
-    sub(lhs: T, rhs: T): T;
-    mul(lhs: T, rhs: T | bigint): T;
-    pow(lhs: T, power: bigint): T;
-    div(lhs: T, rhs: T | bigint): T;
-    addN(lhs: T, rhs: T): T;
-    subN(lhs: T, rhs: T): T;
-    mulN(lhs: T, rhs: T | bigint): T;
-    sqrN(num: T): T;
-    isOdd?(num: T): boolean;
-    allowedLengths?: number[];
-    invertBatch: (lst: T[]) => T[];
-    toBytes(num: T): Uint8Array;
-    fromBytes(bytes: Uint8Array, skipValidation?: boolean): T;
-    cmov(a: T, b: T, c: boolean): T;
-}
-export declare function validateField<T>(field: IField<T>): IField<T>;
-/**
- * Same as `pow` but for Fp: non-constant-time.
- * Unsafe in some contexts: uses ladder, so can expose bigint bits.
- */
-export declare function FpPow<T>(Fp: IField<T>, num: T, power: bigint): T;
-/**
- * Efficiently invert an array of Field elements.
- * Exception-free. Will return `undefined` for 0 elements.
- * @param passZero map 0 to 0 (instead of undefined)
- */
-export declare function FpInvertBatch<T>(Fp: IField<T>, nums: T[], passZero?: boolean): T[];
-export declare function FpDiv<T>(Fp: IField<T>, lhs: T, rhs: T | bigint): T;
-/**
- * Legendre symbol.
- * Legendre constant is used to calculate Legendre symbol (a | p)
- * which denotes the value of a^((p-1)/2) (mod p).
- *
- * * (a | p) ≡ 1    if a is a square (mod p), quadratic residue
- * * (a | p) ≡ -1   if a is not a square (mod p), quadratic non residue
- * * (a | p) ≡ 0    if a ≡ 0 (mod p)
- */
-export declare function FpLegendre<T>(Fp: IField<T>, n: T): -1 | 0 | 1;
-export declare function FpIsSquare<T>(Fp: IField<T>, n: T): boolean;
-export type NLength = {
-    nByteLength: number;
-    nBitLength: number;
-};
-export declare function nLength(n: bigint, nBitLength?: number): NLength;
-type FpField = IField<bigint> & Required<Pick<IField<bigint>, 'isOdd'>>;
-type SqrtFn = (n: bigint) => bigint;
-type FieldOpts = Partial<{
-    sqrt: SqrtFn;
-    isLE: boolean;
-    BITS: number;
-    modFromBytes: boolean;
-    allowedLengths?: readonly number[];
-}>;
-/**
- * Creates a finite field. Major performance optimizations:
- * * 1. Denormalized operations like mulN instead of mul.
- * * 2. Identical object shape: never add or remove keys.
- * * 3. `Object.freeze`.
- * Fragile: always run a benchmark on a change.
- * Security note: operations don't check 'isValid' for all elements for performance reasons,
- * it is caller responsibility to check this.
- * This is low-level code, please make sure you know what you're doing.
- *
- * Note about field properties:
- * * CHARACTERISTIC p = prime number, number of elements in main subgroup.
- * * ORDER q = similar to cofactor in curves, may be composite `q = p^m`.
- *
- * @param ORDER field order, probably prime, or could be composite
- * @param bitLen how many bits the field consumes
- * @param isLE (default: false) if encoding / decoding should be in little-endian
- * @param redef optional faster redefinitions of sqrt and other methods
- */
-export declare function Field(ORDER: bigint, bitLenOrOpts?: number | FieldOpts, // TODO: use opts only in v2?
-isLE?: boolean, opts?: {
-    sqrt?: SqrtFn;
-}): Readonly<FpField>;
-export declare function FpSqrtOdd<T>(Fp: IField<T>, elm: T): T;
-export declare function FpSqrtEven<T>(Fp: IField<T>, elm: T): T;
-/**
- * "Constant-time" private key generation utility.
- * Same as mapKeyToField, but accepts less bytes (40 instead of 48 for 32-byte field).
- * Which makes it slightly more biased, less secure.
- * @deprecated use `mapKeyToField` instead
- */
-export declare function hashToPrivateScalar(hash: string | Uint8Array, groupOrder: bigint, isLE?: boolean): bigint;
-/**
- * Returns total number of bytes consumed by the field element.
- * For example, 32 bytes for usual 256-bit weierstrass curve.
- * @param fieldOrder number of field elements, usually CURVE.n
- * @returns byte length of field
- */
-export declare function getFieldBytesLength(fieldOrder: bigint): number;
-/**
- * Returns minimal amount of bytes that can be safely reduced
- * by field order.
- * Should be 2^-128 for 128-bit curve such as P256.
- * @param fieldOrder number of field elements, usually CURVE.n
- * @returns byte length of target hash
- */
-export declare function getMinHashLength(fieldOrder: bigint): number;
-/**
- * "Constant-time" private key generation utility.
- * Can take (n + n/2) or more bytes of uniform input e.g. from CSPRNG or KDF
- * and convert them into private scalar, with the modulo bias being negligible.
- * Needs at least 48 bytes of input for 32-byte private key.
- * https://research.kudelskisecurity.com/2020/07/28/the-definitive-guide-to-modulo-bias-and-how-to-avoid-it/
- * FIPS 186-5, A.2 https://csrc.nist.gov/publications/detail/fips/186/5/final
- * RFC 9380, https://www.rfc-editor.org/rfc/rfc9380#section-5
- * @param hash hash output from SHA3 or a similar function
- * @param groupOrder size of subgroup - (e.g. secp256k1.CURVE.n)
- * @param isLE interpret hash bytes as LE num
- * @returns valid private scalar
- */
-export declare function mapHashToField(key: Uint8Array, fieldOrder: bigint, isLE?: boolean): Uint8Array;
-export {};
-//# sourceMappingURL=modular.d.ts.map

esm/abstract/modular.d.ts.map

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esm/abstract/modular.js

-/**
- * Utils for modular division and fields.
- * Field over 11 is a finite (Galois) field is integer number operations `mod 11`.
- * There is no division: it is replaced by modular multiplicative inverse.
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { _validateObject, anumber, bitMask, bytesToNumberBE, bytesToNumberLE, ensureBytes, numberToBytesBE, numberToBytesLE, } from "../utils.js";
-// prettier-ignore
-const _0n = BigInt(0), _1n = BigInt(1), _2n = /* @__PURE__ */ BigInt(2), _3n = /* @__PURE__ */ BigInt(3);
-// prettier-ignore
-const _4n = /* @__PURE__ */ BigInt(4), _5n = /* @__PURE__ */ BigInt(5), _7n = /* @__PURE__ */ BigInt(7);
-// prettier-ignore
-const _8n = /* @__PURE__ */ BigInt(8), _9n = /* @__PURE__ */ BigInt(9), _16n = /* @__PURE__ */ BigInt(16);
-// Calculates a modulo b
-export function mod(a, b) {
-    const result = a % b;
-    return result >= _0n ? result : b + result;
-}
-/**
- * Efficiently raise num to power and do modular division.
- * Unsafe in some contexts: uses ladder, so can expose bigint bits.
- * @example
- * pow(2n, 6n, 11n) // 64n % 11n == 9n
- */
-export function pow(num, power, modulo) {
-    return FpPow(Field(modulo), num, power);
-}
-/** Does `x^(2^power)` mod p. `pow2(30, 4)` == `30^(2^4)` */
-export function pow2(x, power, modulo) {
-    let res = x;
-    while (power-- > _0n) {
-        res *= res;
-        res %= modulo;
-    }
-    return res;
-}
-/**
- * Inverses number over modulo.
- * Implemented using [Euclidean GCD](https://brilliant.org/wiki/extended-euclidean-algorithm/).
- */
-export function invert(number, modulo) {
-    if (number === _0n)
-        throw new Error('invert: expected non-zero number');
-    if (modulo <= _0n)
-        throw new Error('invert: expected positive modulus, got ' + modulo);
-    // Fermat's little theorem "CT-like" version inv(n) = n^(m-2) mod m is 30x slower.
-    let a = mod(number, modulo);
-    let b = modulo;
-    // prettier-ignore
-    let x = _0n, y = _1n, u = _1n, v = _0n;
-    while (a !== _0n) {
-        // JIT applies optimization if those two lines follow each other
-        const q = b / a;
-        const r = b % a;
-        const m = x - u * q;
-        const n = y - v * q;
-        // prettier-ignore
-        b = a, a = r, x = u, y = v, u = m, v = n;
-    }
-    const gcd = b;
-    if (gcd !== _1n)
-        throw new Error('invert: does not exist');
-    return mod(x, modulo);
-}
-function assertIsSquare(Fp, root, n) {
-    if (!Fp.eql(Fp.sqr(root), n))
-        throw new Error('Cannot find square root');
-}
-// Not all roots are possible! Example which will throw:
-// const NUM =
-// n = 72057594037927816n;
-// Fp = Field(BigInt('0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab'));
-function sqrt3mod4(Fp, n) {
-    const p1div4 = (Fp.ORDER + _1n) / _4n;
-    const root = Fp.pow(n, p1div4);
-    assertIsSquare(Fp, root, n);
-    return root;
-}
-function sqrt5mod8(Fp, n) {
-    const p5div8 = (Fp.ORDER - _5n) / _8n;
-    const n2 = Fp.mul(n, _2n);
-    const v = Fp.pow(n2, p5div8);
-    const nv = Fp.mul(n, v);
-    const i = Fp.mul(Fp.mul(nv, _2n), v);
-    const root = Fp.mul(nv, Fp.sub(i, Fp.ONE));
-    assertIsSquare(Fp, root, n);
-    return root;
-}
-// Based on RFC9380, Kong algorithm
-// prettier-ignore
-function sqrt9mod16(P) {
-    const Fp_ = Field(P);
-    const tn = tonelliShanks(P);
-    const c1 = tn(Fp_, Fp_.neg(Fp_.ONE)); //  1. c1 = sqrt(-1) in F, i.e., (c1^2) == -1 in F
-    const c2 = tn(Fp_, c1); //  2. c2 = sqrt(c1) in F, i.e., (c2^2) == c1 in F
-    const c3 = tn(Fp_, Fp_.neg(c1)); //  3. c3 = sqrt(-c1) in F, i.e., (c3^2) == -c1 in F
-    const c4 = (P + _7n) / _16n; //  4. c4 = (q + 7) / 16        # Integer arithmetic
-    return (Fp, n) => {
-        let tv1 = Fp.pow(n, c4); //  1. tv1 = x^c4
-        let tv2 = Fp.mul(tv1, c1); //  2. tv2 = c1 * tv1
-        const tv3 = Fp.mul(tv1, c2); //  3. tv3 = c2 * tv1
-        const tv4 = Fp.mul(tv1, c3); //  4. tv4 = c3 * tv1
-        const e1 = Fp.eql(Fp.sqr(tv2), n); //  5.  e1 = (tv2^2) == x
-        const e2 = Fp.eql(Fp.sqr(tv3), n); //  6.  e2 = (tv3^2) == x
-        tv1 = Fp.cmov(tv1, tv2, e1); //  7. tv1 = CMOV(tv1, tv2, e1)  # Select tv2 if (tv2^2) == x
-        tv2 = Fp.cmov(tv4, tv3, e2); //  8. tv2 = CMOV(tv4, tv3, e2)  # Select tv3 if (tv3^2) == x
-        const e3 = Fp.eql(Fp.sqr(tv2), n); //  9.  e3 = (tv2^2) == x
-        const root = Fp.cmov(tv1, tv2, e3); // 10.  z = CMOV(tv1, tv2, e3)   # Select sqrt from tv1 & tv2
-        assertIsSquare(Fp, root, n);
-        return root;
-    };
-}
-/**
- * Tonelli-Shanks square root search algorithm.
- * 1. https://eprint.iacr.org/2012/685.pdf (page 12)
- * 2. Square Roots from 1; 24, 51, 10 to Dan Shanks
- * @param P field order
- * @returns function that takes field Fp (created from P) and number n
- */
-export function tonelliShanks(P) {
-    // Initialization (precomputation).
-    // Caching initialization could boost perf by 7%.
-    if (P < _3n)
-        throw new Error('sqrt is not defined for small field');
-    // Factor P - 1 = Q * 2^S, where Q is odd
-    let Q = P - _1n;
-    let S = 0;
-    while (Q % _2n === _0n) {
-        Q /= _2n;
-        S++;
-    }
-    // Find the first quadratic non-residue Z >= 2
-    let Z = _2n;
-    const _Fp = Field(P);
-    while (FpLegendre(_Fp, Z) === 1) {
-        // Basic primality test for P. After x iterations, chance of
-        // not finding quadratic non-residue is 2^x, so 2^1000.
-        if (Z++ > 1000)
-            throw new Error('Cannot find square root: probably non-prime P');
-    }
-    // Fast-path; usually done before Z, but we do "primality test".
-    if (S === 1)
-        return sqrt3mod4;
-    // Slow-path
-    // TODO: test on Fp2 and others
-    let cc = _Fp.pow(Z, Q); // c = z^Q
-    const Q1div2 = (Q + _1n) / _2n;
-    return function tonelliSlow(Fp, n) {
-        if (Fp.is0(n))
-            return n;
-        // Check if n is a quadratic residue using Legendre symbol
-        if (FpLegendre(Fp, n) !== 1)
-            throw new Error('Cannot find square root');
-        // Initialize variables for the main loop
-        let M = S;
-        let c = Fp.mul(Fp.ONE, cc); // c = z^Q, move cc from field _Fp into field Fp
-        let t = Fp.pow(n, Q); // t = n^Q, first guess at the fudge factor
-        let R = Fp.pow(n, Q1div2); // R = n^((Q+1)/2), first guess at the square root
-        // Main loop
-        // while t != 1
-        while (!Fp.eql(t, Fp.ONE)) {
-            if (Fp.is0(t))
-                return Fp.ZERO; // if t=0 return R=0
-            let i = 1;
-            // Find the smallest i >= 1 such that t^(2^i) ≡ 1 (mod P)
-            let t_tmp = Fp.sqr(t); // t^(2^1)
-            while (!Fp.eql(t_tmp, Fp.ONE)) {
-                i++;
-                t_tmp = Fp.sqr(t_tmp); // t^(2^2)...
-                if (i === M)
-                    throw new Error('Cannot find square root');
-            }
-            // Calculate the exponent for b: 2^(M - i - 1)
-            const exponent = _1n << BigInt(M - i - 1); // bigint is important
-            const b = Fp.pow(c, exponent); // b = 2^(M - i - 1)
-            // Update variables
-            M = i;
-            c = Fp.sqr(b); // c = b^2
-            t = Fp.mul(t, c); // t = (t * b^2)
-            R = Fp.mul(R, b); // R = R*b
-        }
-        return R;
-    };
-}
-/**
- * Square root for a finite field. Will try optimized versions first:
- *
- * 1. P ≡ 3 (mod 4)
- * 2. P ≡ 5 (mod 8)
- * 3. P ≡ 9 (mod 16)
- * 4. Tonelli-Shanks algorithm
- *
- * Different algorithms can give different roots, it is up to user to decide which one they want.
- * For example there is FpSqrtOdd/FpSqrtEven to choice root based on oddness (used for hash-to-curve).
- */
-export function FpSqrt(P) {
-    // P ≡ 3 (mod 4) => √n = n^((P+1)/4)
-    if (P % _4n === _3n)
-        return sqrt3mod4;
-    // P ≡ 5 (mod 8) => Atkin algorithm, page 10 of https://eprint.iacr.org/2012/685.pdf
-    if (P % _8n === _5n)
-        return sqrt5mod8;
-    // P ≡ 9 (mod 16) => Kong algorithm, page 11 of https://eprint.iacr.org/2012/685.pdf (algorithm 4)
-    if (P % _16n === _9n)
-        return sqrt9mod16(P);
-    // Tonelli-Shanks algorithm
-    return tonelliShanks(P);
-}
-// Little-endian check for first LE bit (last BE bit);
-export const isNegativeLE = (num, modulo) => (mod(num, modulo) & _1n) === _1n;
-// prettier-ignore
-const FIELD_FIELDS = [
-    'create', 'isValid', 'is0', 'neg', 'inv', 'sqrt', 'sqr',
-    'eql', 'add', 'sub', 'mul', 'pow', 'div',
-    'addN', 'subN', 'mulN', 'sqrN'
-];
-export function validateField(field) {
-    const initial = {
-        ORDER: 'bigint',
-        MASK: 'bigint',
-        BYTES: 'number',
-        BITS: 'number',
-    };
-    const opts = FIELD_FIELDS.reduce((map, val) => {
-        map[val] = 'function';
-        return map;
-    }, initial);
-    _validateObject(field, opts);
-    // const max = 16384;
-    // if (field.BYTES < 1 || field.BYTES > max) throw new Error('invalid field');
-    // if (field.BITS < 1 || field.BITS > 8 * max) throw new Error('invalid field');
-    return field;
-}
-// Generic field functions
-/**
- * Same as `pow` but for Fp: non-constant-time.
- * Unsafe in some contexts: uses ladder, so can expose bigint bits.
- */
-export function FpPow(Fp, num, power) {
-    if (power < _0n)
-        throw new Error('invalid exponent, negatives unsupported');
-    if (power === _0n)
-        return Fp.ONE;
-    if (power === _1n)
-        return num;
-    let p = Fp.ONE;
-    let d = num;
-    while (power > _0n) {
-        if (power & _1n)
-            p = Fp.mul(p, d);
-        d = Fp.sqr(d);
-        power >>= _1n;
-    }
-    return p;
-}
-/**
- * Efficiently invert an array of Field elements.
- * Exception-free. Will return `undefined` for 0 elements.
- * @param passZero map 0 to 0 (instead of undefined)
- */
-export function FpInvertBatch(Fp, nums, passZero = false) {
-    const inverted = new Array(nums.length).fill(passZero ? Fp.ZERO : undefined);
-    // Walk from first to last, multiply them by each other MOD p
-    const multipliedAcc = nums.reduce((acc, num, i) => {
-        if (Fp.is0(num))
-            return acc;
-        inverted[i] = acc;
-        return Fp.mul(acc, num);
-    }, Fp.ONE);
-    // Invert last element
-    const invertedAcc = Fp.inv(multipliedAcc);
-    // Walk from last to first, multiply them by inverted each other MOD p
-    nums.reduceRight((acc, num, i) => {
-        if (Fp.is0(num))
-            return acc;
-        inverted[i] = Fp.mul(acc, inverted[i]);
-        return Fp.mul(acc, num);
-    }, invertedAcc);
-    return inverted;
-}
-// TODO: remove
-export function FpDiv(Fp, lhs, rhs) {
-    return Fp.mul(lhs, typeof rhs === 'bigint' ? invert(rhs, Fp.ORDER) : Fp.inv(rhs));
-}
-/**
- * Legendre symbol.
- * Legendre constant is used to calculate Legendre symbol (a | p)
- * which denotes the value of a^((p-1)/2) (mod p).
- *
- * * (a | p) ≡ 1    if a is a square (mod p), quadratic residue
- * * (a | p) ≡ -1   if a is not a square (mod p), quadratic non residue
- * * (a | p) ≡ 0    if a ≡ 0 (mod p)
- */
-export function FpLegendre(Fp, n) {
-    // We can use 3rd argument as optional cache of this value
-    // but seems unneeded for now. The operation is very fast.
-    const p1mod2 = (Fp.ORDER - _1n) / _2n;
-    const powered = Fp.pow(n, p1mod2);
-    const yes = Fp.eql(powered, Fp.ONE);
-    const zero = Fp.eql(powered, Fp.ZERO);
-    const no = Fp.eql(powered, Fp.neg(Fp.ONE));
-    if (!yes && !zero && !no)
-        throw new Error('invalid Legendre symbol result');
-    return yes ? 1 : zero ? 0 : -1;
-}
-// This function returns True whenever the value x is a square in the field F.
-export function FpIsSquare(Fp, n) {
-    const l = FpLegendre(Fp, n);
-    return l === 1;
-}
-// CURVE.n lengths
-export function nLength(n, nBitLength) {
-    // Bit size, byte size of CURVE.n
-    if (nBitLength !== undefined)
-        anumber(nBitLength);
-    const _nBitLength = nBitLength !== undefined ? nBitLength : n.toString(2).length;
-    const nByteLength = Math.ceil(_nBitLength / 8);
-    return { nBitLength: _nBitLength, nByteLength };
-}
-/**
- * Creates a finite field. Major performance optimizations:
- * * 1. Denormalized operations like mulN instead of mul.
- * * 2. Identical object shape: never add or remove keys.
- * * 3. `Object.freeze`.
- * Fragile: always run a benchmark on a change.
- * Security note: operations don't check 'isValid' for all elements for performance reasons,
- * it is caller responsibility to check this.
- * This is low-level code, please make sure you know what you're doing.
- *
- * Note about field properties:
- * * CHARACTERISTIC p = prime number, number of elements in main subgroup.
- * * ORDER q = similar to cofactor in curves, may be composite `q = p^m`.
- *
- * @param ORDER field order, probably prime, or could be composite
- * @param bitLen how many bits the field consumes
- * @param isLE (default: false) if encoding / decoding should be in little-endian
- * @param redef optional faster redefinitions of sqrt and other methods
- */
-export function Field(ORDER, bitLenOrOpts, // TODO: use opts only in v2?
-isLE = false, opts = {}) {
-    if (ORDER <= _0n)
-        throw new Error('invalid field: expected ORDER > 0, got ' + ORDER);
-    let _nbitLength = undefined;
-    let _sqrt = undefined;
-    let modFromBytes = false;
-    let allowedLengths = undefined;
-    if (typeof bitLenOrOpts === 'object' && bitLenOrOpts != null) {
-        if (opts.sqrt || isLE)
-            throw new Error('cannot specify opts in two arguments');
-        const _opts = bitLenOrOpts;
-        if (_opts.BITS)
-            _nbitLength = _opts.BITS;
-        if (_opts.sqrt)
-            _sqrt = _opts.sqrt;
-        if (typeof _opts.isLE === 'boolean')
-            isLE = _opts.isLE;
-        if (typeof _opts.modFromBytes === 'boolean')
-            modFromBytes = _opts.modFromBytes;
-        allowedLengths = _opts.allowedLengths;
-    }
-    else {
-        if (typeof bitLenOrOpts === 'number')
-            _nbitLength = bitLenOrOpts;
-        if (opts.sqrt)
-            _sqrt = opts.sqrt;
-    }
-    const { nBitLength: BITS, nByteLength: BYTES } = nLength(ORDER, _nbitLength);
-    if (BYTES > 2048)
-        throw new Error('invalid field: expected ORDER of <= 2048 bytes');
-    let sqrtP; // cached sqrtP
-    const f = Object.freeze({
-        ORDER,
-        isLE,
-        BITS,
-        BYTES,
-        MASK: bitMask(BITS),
-        ZERO: _0n,
-        ONE: _1n,
-        allowedLengths: allowedLengths,
-        create: (num) => mod(num, ORDER),
-        isValid: (num) => {
-            if (typeof num !== 'bigint')
-                throw new Error('invalid field element: expected bigint, got ' + typeof num);
-            return _0n <= num && num < ORDER; // 0 is valid element, but it's not invertible
-        },
-        is0: (num) => num === _0n,
-        // is valid and invertible
-        isValidNot0: (num) => !f.is0(num) && f.isValid(num),
-        isOdd: (num) => (num & _1n) === _1n,
-        neg: (num) => mod(-num, ORDER),
-        eql: (lhs, rhs) => lhs === rhs,
-        sqr: (num) => mod(num * num, ORDER),
-        add: (lhs, rhs) => mod(lhs + rhs, ORDER),
-        sub: (lhs, rhs) => mod(lhs - rhs, ORDER),
-        mul: (lhs, rhs) => mod(lhs * rhs, ORDER),
-        pow: (num, power) => FpPow(f, num, power),
-        div: (lhs, rhs) => mod(lhs * invert(rhs, ORDER), ORDER),
-        // Same as above, but doesn't normalize
-        sqrN: (num) => num * num,
-        addN: (lhs, rhs) => lhs + rhs,
-        subN: (lhs, rhs) => lhs - rhs,
-        mulN: (lhs, rhs) => lhs * rhs,
-        inv: (num) => invert(num, ORDER),
-        sqrt: _sqrt ||
-            ((n) => {
-                if (!sqrtP)
-                    sqrtP = FpSqrt(ORDER);
-                return sqrtP(f, n);
-            }),
-        toBytes: (num) => (isLE ? numberToBytesLE(num, BYTES) : numberToBytesBE(num, BYTES)),
-        fromBytes: (bytes, skipValidation = true) => {
-            if (allowedLengths) {
-                if (!allowedLengths.includes(bytes.length) || bytes.length > BYTES) {
-                    throw new Error('Field.fromBytes: expected ' + allowedLengths + ' bytes, got ' + bytes.length);
-                }
-                const padded = new Uint8Array(BYTES);
-                // isLE add 0 to right, !isLE to the left.
-                padded.set(bytes, isLE ? 0 : padded.length - bytes.length);
-                bytes = padded;
-            }
-            if (bytes.length !== BYTES)
-                throw new Error('Field.fromBytes: expected ' + BYTES + ' bytes, got ' + bytes.length);
-            let scalar = isLE ? bytesToNumberLE(bytes) : bytesToNumberBE(bytes);
-            if (modFromBytes)
-                scalar = mod(scalar, ORDER);
-            if (!skipValidation)
-                if (!f.isValid(scalar))
-                    throw new Error('invalid field element: outside of range 0..ORDER');
-            // NOTE: we don't validate scalar here, please use isValid. This done such way because some
-            // protocol may allow non-reduced scalar that reduced later or changed some other way.
-            return scalar;
-        },
-        // TODO: we don't need it here, move out to separate fn
-        invertBatch: (lst) => FpInvertBatch(f, lst),
-        // We can't move this out because Fp6, Fp12 implement it
-        // and it's unclear what to return in there.
-        cmov: (a, b, c) => (c ? b : a),
-    });
-    return Object.freeze(f);
-}
-// Generic random scalar, we can do same for other fields if via Fp2.mul(Fp2.ONE, Fp2.random)?
-// This allows unsafe methods like ignore bias or zero. These unsafe, but often used in different protocols (if deterministic RNG).
-// which mean we cannot force this via opts.
-// Not sure what to do with randomBytes, we can accept it inside opts if wanted.
-// Probably need to export getMinHashLength somewhere?
-// random(bytes?: Uint8Array, unsafeAllowZero = false, unsafeAllowBias = false) {
-//   const LEN = !unsafeAllowBias ? getMinHashLength(ORDER) : BYTES;
-//   if (bytes === undefined) bytes = randomBytes(LEN); // _opts.randomBytes?
-//   const num = isLE ? bytesToNumberLE(bytes) : bytesToNumberBE(bytes);
-//   // `mod(x, 11)` can sometimes produce 0. `mod(x, 10) + 1` is the same, but no 0
-//   const reduced = unsafeAllowZero ? mod(num, ORDER) : mod(num, ORDER - _1n) + _1n;
-//   return reduced;
-// },
-export function FpSqrtOdd(Fp, elm) {
-    if (!Fp.isOdd)
-        throw new Error("Field doesn't have isOdd");
-    const root = Fp.sqrt(elm);
-    return Fp.isOdd(root) ? root : Fp.neg(root);
-}
-export function FpSqrtEven(Fp, elm) {
-    if (!Fp.isOdd)
-        throw new Error("Field doesn't have isOdd");
-    const root = Fp.sqrt(elm);
-    return Fp.isOdd(root) ? Fp.neg(root) : root;
-}
-/**
- * "Constant-time" private key generation utility.
- * Same as mapKeyToField, but accepts less bytes (40 instead of 48 for 32-byte field).
- * Which makes it slightly more biased, less secure.
- * @deprecated use `mapKeyToField` instead
- */
-export function hashToPrivateScalar(hash, groupOrder, isLE = false) {
-    hash = ensureBytes('privateHash', hash);
-    const hashLen = hash.length;
-    const minLen = nLength(groupOrder).nByteLength + 8;
-    if (minLen < 24 || hashLen < minLen || hashLen > 1024)
-        throw new Error('hashToPrivateScalar: expected ' + minLen + '-1024 bytes of input, got ' + hashLen);
-    const num = isLE ? bytesToNumberLE(hash) : bytesToNumberBE(hash);
-    return mod(num, groupOrder - _1n) + _1n;
-}
-/**
- * Returns total number of bytes consumed by the field element.
- * For example, 32 bytes for usual 256-bit weierstrass curve.
- * @param fieldOrder number of field elements, usually CURVE.n
- * @returns byte length of field
- */
-export function getFieldBytesLength(fieldOrder) {
-    if (typeof fieldOrder !== 'bigint')
-        throw new Error('field order must be bigint');
-    const bitLength = fieldOrder.toString(2).length;
-    return Math.ceil(bitLength / 8);
-}
-/**
- * Returns minimal amount of bytes that can be safely reduced
- * by field order.
- * Should be 2^-128 for 128-bit curve such as P256.
- * @param fieldOrder number of field elements, usually CURVE.n
- * @returns byte length of target hash
- */
-export function getMinHashLength(fieldOrder) {
-    const length = getFieldBytesLength(fieldOrder);
-    return length + Math.ceil(length / 2);
-}
-/**
- * "Constant-time" private key generation utility.
- * Can take (n + n/2) or more bytes of uniform input e.g. from CSPRNG or KDF
- * and convert them into private scalar, with the modulo bias being negligible.
- * Needs at least 48 bytes of input for 32-byte private key.
- * https://research.kudelskisecurity.com/2020/07/28/the-definitive-guide-to-modulo-bias-and-how-to-avoid-it/
- * FIPS 186-5, A.2 https://csrc.nist.gov/publications/detail/fips/186/5/final
- * RFC 9380, https://www.rfc-editor.org/rfc/rfc9380#section-5
- * @param hash hash output from SHA3 or a similar function
- * @param groupOrder size of subgroup - (e.g. secp256k1.CURVE.n)
- * @param isLE interpret hash bytes as LE num
- * @returns valid private scalar
- */
-export function mapHashToField(key, fieldOrder, isLE = false) {
-    const len = key.length;
-    const fieldLen = getFieldBytesLength(fieldOrder);
-    const minLen = getMinHashLength(fieldOrder);
-    // No small numbers: need to understand bias story. No huge numbers: easier to detect JS timings.
-    if (len < 16 || len < minLen || len > 1024)
-        throw new Error('expected ' + minLen + '-1024 bytes of input, got ' + len);
-    const num = isLE ? bytesToNumberLE(key) : bytesToNumberBE(key);
-    // `mod(x, 11)` can sometimes produce 0. `mod(x, 10) + 1` is the same, but no 0
-    const reduced = mod(num, fieldOrder - _1n) + _1n;
-    return isLE ? numberToBytesLE(reduced, fieldLen) : numberToBytesBE(reduced, fieldLen);
-}
-//# sourceMappingURL=modular.js.map

esm/abstract/modular.js.map

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esm/abstract/montgomery.d.ts

-import type { CurveLengths } from './curve.ts';
-type Hex = string | Uint8Array;
-export type CurveType = {
-    P: bigint;
-    type: 'x25519' | 'x448';
-    adjustScalarBytes: (bytes: Uint8Array) => Uint8Array;
-    powPminus2: (x: bigint) => bigint;
-    randomBytes?: (bytesLength?: number) => Uint8Array;
-};
-export type MontgomeryECDH = {
-    scalarMult: (scalar: Hex, u: Hex) => Uint8Array;
-    scalarMultBase: (scalar: Hex) => Uint8Array;
-    getSharedSecret: (secretKeyA: Hex, publicKeyB: Hex) => Uint8Array;
-    getPublicKey: (secretKey: Hex) => Uint8Array;
-    utils: {
-        randomSecretKey: () => Uint8Array;
-        /** @deprecated use `randomSecretKey` */
-        randomPrivateKey: () => Uint8Array;
-    };
-    GuBytes: Uint8Array;
-    lengths: CurveLengths;
-    keygen: (seed?: Uint8Array) => {
-        secretKey: Uint8Array;
-        publicKey: Uint8Array;
-    };
-};
-export type CurveFn = MontgomeryECDH;
-export declare function montgomery(curveDef: CurveType): MontgomeryECDH;
-export {};
-//# sourceMappingURL=montgomery.d.ts.map

esm/abstract/montgomery.d.ts.map

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esm/abstract/montgomery.js

-/**
- * Montgomery curve methods. It's not really whole montgomery curve,
- * just bunch of very specific methods for X25519 / X448 from
- * [RFC 7748](https://www.rfc-editor.org/rfc/rfc7748)
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { _validateObject, abytes, aInRange, bytesToNumberLE, ensureBytes, numberToBytesLE, randomBytes, } from "../utils.js";
-import { mod } from "./modular.js";
-const _0n = BigInt(0);
-const _1n = BigInt(1);
-const _2n = BigInt(2);
-function validateOpts(curve) {
-    _validateObject(curve, {
-        adjustScalarBytes: 'function',
-        powPminus2: 'function',
-    });
-    return Object.freeze({ ...curve });
-}
-export function montgomery(curveDef) {
-    const CURVE = validateOpts(curveDef);
-    const { P, type, adjustScalarBytes, powPminus2, randomBytes: rand } = CURVE;
-    const is25519 = type === 'x25519';
-    if (!is25519 && type !== 'x448')
-        throw new Error('invalid type');
-    const randomBytes_ = rand || randomBytes;
-    const montgomeryBits = is25519 ? 255 : 448;
-    const fieldLen = is25519 ? 32 : 56;
-    const Gu = is25519 ? BigInt(9) : BigInt(5);
-    // RFC 7748 #5:
-    // The constant a24 is (486662 - 2) / 4 = 121665 for curve25519/X25519 and
-    // (156326 - 2) / 4 = 39081 for curve448/X448
-    // const a = is25519 ? 156326n : 486662n;
-    const a24 = is25519 ? BigInt(121665) : BigInt(39081);
-    // RFC: x25519 "the resulting integer is of the form 2^254 plus
-    // eight times a value between 0 and 2^251 - 1 (inclusive)"
-    // x448: "2^447 plus four times a value between 0 and 2^445 - 1 (inclusive)"
-    const minScalar = is25519 ? _2n ** BigInt(254) : _2n ** BigInt(447);
-    const maxAdded = is25519
-        ? BigInt(8) * _2n ** BigInt(251) - _1n
-        : BigInt(4) * _2n ** BigInt(445) - _1n;
-    const maxScalar = minScalar + maxAdded + _1n; // (inclusive)
-    const modP = (n) => mod(n, P);
-    const GuBytes = encodeU(Gu);
-    function encodeU(u) {
-        return numberToBytesLE(modP(u), fieldLen);
-    }
-    function decodeU(u) {
-        const _u = ensureBytes('u coordinate', u, fieldLen);
-        // RFC: When receiving such an array, implementations of X25519
-        // (but not X448) MUST mask the most significant bit in the final byte.
-        if (is25519)
-            _u[31] &= 127; // 0b0111_1111
-        // RFC: Implementations MUST accept non-canonical values and process them as
-        // if they had been reduced modulo the field prime.  The non-canonical
-        // values are 2^255 - 19 through 2^255 - 1 for X25519 and 2^448 - 2^224
-        // - 1 through 2^448 - 1 for X448.
-        return modP(bytesToNumberLE(_u));
-    }
-    function decodeScalar(scalar) {
-        return bytesToNumberLE(adjustScalarBytes(ensureBytes('scalar', scalar, fieldLen)));
-    }
-    function scalarMult(scalar, u) {
-        const pu = montgomeryLadder(decodeU(u), decodeScalar(scalar));
-        // Some public keys are useless, of low-order. Curve author doesn't think
-        // it needs to be validated, but we do it nonetheless.
-        // https://cr.yp.to/ecdh.html#validate
-        if (pu === _0n)
-            throw new Error('invalid private or public key received');
-        return encodeU(pu);
-    }
-    // Computes public key from private. By doing scalar multiplication of base point.
-    function scalarMultBase(scalar) {
-        return scalarMult(scalar, GuBytes);
-    }
-    // cswap from RFC7748 "example code"
-    function cswap(swap, x_2, x_3) {
-        // dummy = mask(swap) AND (x_2 XOR x_3)
-        // Where mask(swap) is the all-1 or all-0 word of the same length as x_2
-        // and x_3, computed, e.g., as mask(swap) = 0 - swap.
-        const dummy = modP(swap * (x_2 - x_3));
-        x_2 = modP(x_2 - dummy); // x_2 = x_2 XOR dummy
-        x_3 = modP(x_3 + dummy); // x_3 = x_3 XOR dummy
-        return { x_2, x_3 };
-    }
-    /**
-     * Montgomery x-only multiplication ladder.
-     * @param pointU u coordinate (x) on Montgomery Curve 25519
-     * @param scalar by which the point would be multiplied
-     * @returns new Point on Montgomery curve
-     */
-    function montgomeryLadder(u, scalar) {
-        aInRange('u', u, _0n, P);
-        aInRange('scalar', scalar, minScalar, maxScalar);
-        const k = scalar;
-        const x_1 = u;
-        let x_2 = _1n;
-        let z_2 = _0n;
-        let x_3 = u;
-        let z_3 = _1n;
-        let swap = _0n;
-        for (let t = BigInt(montgomeryBits - 1); t >= _0n; t--) {
-            const k_t = (k >> t) & _1n;
-            swap ^= k_t;
-            ({ x_2, x_3 } = cswap(swap, x_2, x_3));
-            ({ x_2: z_2, x_3: z_3 } = cswap(swap, z_2, z_3));
-            swap = k_t;
-            const A = x_2 + z_2;
-            const AA = modP(A * A);
-            const B = x_2 - z_2;
-            const BB = modP(B * B);
-            const E = AA - BB;
-            const C = x_3 + z_3;
-            const D = x_3 - z_3;
-            const DA = modP(D * A);
-            const CB = modP(C * B);
-            const dacb = DA + CB;
-            const da_cb = DA - CB;
-            x_3 = modP(dacb * dacb);
-            z_3 = modP(x_1 * modP(da_cb * da_cb));
-            x_2 = modP(AA * BB);
-            z_2 = modP(E * (AA + modP(a24 * E)));
-        }
-        ({ x_2, x_3 } = cswap(swap, x_2, x_3));
-        ({ x_2: z_2, x_3: z_3 } = cswap(swap, z_2, z_3));
-        const z2 = powPminus2(z_2); // `Fp.pow(x, P - _2n)` is much slower equivalent
-        return modP(x_2 * z2); // Return x_2 * (z_2^(p - 2))
-    }
-    const lengths = {
-        secretKey: fieldLen,
-        publicKey: fieldLen,
-        seed: fieldLen,
-    };
-    const randomSecretKey = (seed = randomBytes_(fieldLen)) => {
-        abytes(seed, lengths.seed);
-        return seed;
-    };
-    function keygen(seed) {
-        const secretKey = randomSecretKey(seed);
-        return { secretKey, publicKey: scalarMultBase(secretKey) };
-    }
-    const utils = {
-        randomSecretKey,
-        randomPrivateKey: randomSecretKey,
-    };
-    return {
-        keygen,
-        getSharedSecret: (secretKey, publicKey) => scalarMult(secretKey, publicKey),
-        getPublicKey: (secretKey) => scalarMultBase(secretKey),
-        scalarMult,
-        scalarMultBase,
-        utils,
-        GuBytes: GuBytes.slice(),
-        lengths,
-    };
-}
-//# sourceMappingURL=montgomery.js.map

esm/abstract/montgomery.js.map

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esm/abstract/poseidon.d.ts

-import { type IField } from './modular.ts';
-export type PoseidonBasicOpts = {
-    Fp: IField<bigint>;
-    t: number;
-    roundsFull: number;
-    roundsPartial: number;
-    isSboxInverse?: boolean;
-};
-export type PoseidonGrainOpts = PoseidonBasicOpts & {
-    sboxPower?: number;
-};
-type PoseidonConstants = {
-    mds: bigint[][];
-    roundConstants: bigint[][];
-};
-export declare function grainGenConstants(opts: PoseidonGrainOpts, skipMDS?: number): PoseidonConstants;
-export type PoseidonOpts = PoseidonBasicOpts & PoseidonConstants & {
-    sboxPower?: number;
-    reversePartialPowIdx?: boolean;
-};
-export declare function validateOpts(opts: PoseidonOpts): Readonly<{
-    rounds: number;
-    sboxFn: (n: bigint) => bigint;
-    roundConstants: bigint[][];
-    mds: bigint[][];
-    Fp: IField<bigint>;
-    t: number;
-    roundsFull: number;
-    roundsPartial: number;
-    sboxPower?: number;
-    reversePartialPowIdx?: boolean;
-}>;
-export declare function splitConstants(rc: bigint[], t: number): bigint[][];
-export type PoseidonFn = {
-    (values: bigint[]): bigint[];
-    roundConstants: bigint[][];
-};
-/** Poseidon NTT-friendly hash. */
-export declare function poseidon(opts: PoseidonOpts): PoseidonFn;
-export declare class PoseidonSponge {
-    private Fp;
-    readonly rate: number;
-    readonly capacity: number;
-    readonly hash: PoseidonFn;
-    private state;
-    private pos;
-    private isAbsorbing;
-    constructor(Fp: IField<bigint>, rate: number, capacity: number, hash: PoseidonFn);
-    private process;
-    absorb(input: bigint[]): void;
-    squeeze(count: number): bigint[];
-    clean(): void;
-    clone(): PoseidonSponge;
-}
-export type PoseidonSpongeOpts = Omit<PoseidonOpts, 't'> & {
-    rate: number;
-    capacity: number;
-};
-/**
- * The method is not defined in spec, but nevertheless used often.
- * Check carefully for compatibility: there are many edge cases, like absorbing an empty array.
- * We cross-test against:
- * - https://github.com/ProvableHQ/snarkVM/tree/staging/algorithms
- * - https://github.com/arkworks-rs/crypto-primitives/tree/main
- */
-export declare function poseidonSponge(opts: PoseidonSpongeOpts): () => PoseidonSponge;
-export {};
-//# sourceMappingURL=poseidon.d.ts.map

esm/abstract/poseidon.d.ts.map

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esm/abstract/poseidon.js

-/**
- * Implements [Poseidon](https://www.poseidon-hash.info) ZK-friendly hash.
- *
- * There are many poseidon variants with different constants.
- * We don't provide them: you should construct them manually.
- * Check out [micro-starknet](https://github.com/paulmillr/micro-starknet) package for a proper example.
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { _validateObject, bitGet } from "../utils.js";
-import { FpInvertBatch, FpPow, validateField } from "./modular.js";
-// Grain LFSR (Linear-Feedback Shift Register): https://eprint.iacr.org/2009/109.pdf
-function grainLFSR(state) {
-    let pos = 0;
-    if (state.length !== 80)
-        throw new Error('grainLFRS: wrong state length, should be 80 bits');
-    const getBit = () => {
-        const r = (offset) => state[(pos + offset) % 80];
-        const bit = r(62) ^ r(51) ^ r(38) ^ r(23) ^ r(13) ^ r(0);
-        state[pos] = bit;
-        pos = ++pos % 80;
-        return !!bit;
-    };
-    for (let i = 0; i < 160; i++)
-        getBit();
-    return () => {
-        // https://en.wikipedia.org/wiki/Shrinking_generator
-        while (true) {
-            const b1 = getBit();
-            const b2 = getBit();
-            if (!b1)
-                continue;
-            return b2;
-        }
-    };
-}
-function assertValidPosOpts(opts) {
-    const { Fp, roundsFull } = opts;
-    validateField(Fp);
-    _validateObject(opts, {
-        t: 'number',
-        roundsFull: 'number',
-        roundsPartial: 'number',
-    }, {
-        isSboxInverse: 'boolean',
-    });
-    for (const i of ['t', 'roundsFull', 'roundsPartial']) {
-        if (!Number.isSafeInteger(opts[i]) || opts[i] < 1)
-            throw new Error('invalid number ' + i);
-    }
-    if (roundsFull & 1)
-        throw new Error('roundsFull is not even' + roundsFull);
-}
-function poseidonGrain(opts) {
-    assertValidPosOpts(opts);
-    const { Fp } = opts;
-    const state = Array(80).fill(1);
-    let pos = 0;
-    const writeBits = (value, bitCount) => {
-        for (let i = bitCount - 1; i >= 0; i--)
-            state[pos++] = Number(bitGet(value, i));
-    };
-    const _0n = BigInt(0);
-    const _1n = BigInt(1);
-    writeBits(_1n, 2); // prime field
-    writeBits(opts.isSboxInverse ? _1n : _0n, 4); // b2..b5
-    writeBits(BigInt(Fp.BITS), 12); // b6..b17
-    writeBits(BigInt(opts.t), 12); // b18..b29
-    writeBits(BigInt(opts.roundsFull), 10); // b30..b39
-    writeBits(BigInt(opts.roundsPartial), 10); // b40..b49
-    const getBit = grainLFSR(state);
-    return (count, reject) => {
-        const res = [];
-        for (let i = 0; i < count; i++) {
-            while (true) {
-                let num = _0n;
-                for (let i = 0; i < Fp.BITS; i++) {
-                    num <<= _1n;
-                    if (getBit())
-                        num |= _1n;
-                }
-                if (reject && num >= Fp.ORDER)
-                    continue; // rejection sampling
-                res.push(Fp.create(num));
-                break;
-            }
-        }
-        return res;
-    };
-}
-// NOTE: this is not standard but used often for constant generation for poseidon
-// (grain LFRS-like structure)
-export function grainGenConstants(opts, skipMDS = 0) {
-    const { Fp, t, roundsFull, roundsPartial } = opts;
-    const rounds = roundsFull + roundsPartial;
-    const sample = poseidonGrain(opts);
-    const roundConstants = [];
-    for (let r = 0; r < rounds; r++)
-        roundConstants.push(sample(t, true));
-    if (skipMDS > 0)
-        for (let i = 0; i < skipMDS; i++)
-            sample(2 * t, false);
-    const xs = sample(t, false);
-    const ys = sample(t, false);
-    // Construct MDS Matrix M[i][j] = 1 / (xs[i] + ys[j])
-    const mds = [];
-    for (let i = 0; i < t; i++) {
-        const row = [];
-        for (let j = 0; j < t; j++) {
-            const xy = Fp.add(xs[i], ys[j]);
-            if (Fp.is0(xy))
-                throw new Error(`Error generating MDS matrix: xs[${i}] + ys[${j}] resulted in zero.`);
-            row.push(xy);
-        }
-        mds.push(FpInvertBatch(Fp, row));
-    }
-    return { roundConstants, mds };
-}
-export function validateOpts(opts) {
-    assertValidPosOpts(opts);
-    const { Fp, mds, reversePartialPowIdx: rev, roundConstants: rc } = opts;
-    const { roundsFull, roundsPartial, sboxPower, t } = opts;
-    // MDS is TxT matrix
-    if (!Array.isArray(mds) || mds.length !== t)
-        throw new Error('Poseidon: invalid MDS matrix');
-    const _mds = mds.map((mdsRow) => {
-        if (!Array.isArray(mdsRow) || mdsRow.length !== t)
-            throw new Error('invalid MDS matrix row: ' + mdsRow);
-        return mdsRow.map((i) => {
-            if (typeof i !== 'bigint')
-                throw new Error('invalid MDS matrix bigint: ' + i);
-            return Fp.create(i);
-        });
-    });
-    if (rev !== undefined && typeof rev !== 'boolean')
-        throw new Error('invalid param reversePartialPowIdx=' + rev);
-    if (roundsFull & 1)
-        throw new Error('roundsFull is not even' + roundsFull);
-    const rounds = roundsFull + roundsPartial;
-    if (!Array.isArray(rc) || rc.length !== rounds)
-        throw new Error('Poseidon: invalid round constants');
-    const roundConstants = rc.map((rc) => {
-        if (!Array.isArray(rc) || rc.length !== t)
-            throw new Error('invalid round constants');
-        return rc.map((i) => {
-            if (typeof i !== 'bigint' || !Fp.isValid(i))
-                throw new Error('invalid round constant');
-            return Fp.create(i);
-        });
-    });
-    if (!sboxPower || ![3, 5, 7, 17].includes(sboxPower))
-        throw new Error('invalid sboxPower');
-    const _sboxPower = BigInt(sboxPower);
-    let sboxFn = (n) => FpPow(Fp, n, _sboxPower);
-    // Unwrapped sbox power for common cases (195->142μs)
-    if (sboxPower === 3)
-        sboxFn = (n) => Fp.mul(Fp.sqrN(n), n);
-    else if (sboxPower === 5)
-        sboxFn = (n) => Fp.mul(Fp.sqrN(Fp.sqrN(n)), n);
-    return Object.freeze({ ...opts, rounds, sboxFn, roundConstants, mds: _mds });
-}
-export function splitConstants(rc, t) {
-    if (typeof t !== 'number')
-        throw new Error('poseidonSplitConstants: invalid t');
-    if (!Array.isArray(rc) || rc.length % t)
-        throw new Error('poseidonSplitConstants: invalid rc');
-    const res = [];
-    let tmp = [];
-    for (let i = 0; i < rc.length; i++) {
-        tmp.push(rc[i]);
-        if (tmp.length === t) {
-            res.push(tmp);
-            tmp = [];
-        }
-    }
-    return res;
-}
-/** Poseidon NTT-friendly hash. */
-export function poseidon(opts) {
-    const _opts = validateOpts(opts);
-    const { Fp, mds, roundConstants, rounds: totalRounds, roundsPartial, sboxFn, t } = _opts;
-    const halfRoundsFull = _opts.roundsFull / 2;
-    const partialIdx = _opts.reversePartialPowIdx ? t - 1 : 0;
-    const poseidonRound = (values, isFull, idx) => {
-        values = values.map((i, j) => Fp.add(i, roundConstants[idx][j]));
-        if (isFull)
-            values = values.map((i) => sboxFn(i));
-        else
-            values[partialIdx] = sboxFn(values[partialIdx]);
-        // Matrix multiplication
-        values = mds.map((i) => i.reduce((acc, i, j) => Fp.add(acc, Fp.mulN(i, values[j])), Fp.ZERO));
-        return values;
-    };
-    const poseidonHash = function poseidonHash(values) {
-        if (!Array.isArray(values) || values.length !== t)
-            throw new Error('invalid values, expected array of bigints with length ' + t);
-        values = values.map((i) => {
-            if (typeof i !== 'bigint')
-                throw new Error('invalid bigint=' + i);
-            return Fp.create(i);
-        });
-        let lastRound = 0;
-        // Apply r_f/2 full rounds.
-        for (let i = 0; i < halfRoundsFull; i++)
-            values = poseidonRound(values, true, lastRound++);
-        // Apply r_p partial rounds.
-        for (let i = 0; i < roundsPartial; i++)
-            values = poseidonRound(values, false, lastRound++);
-        // Apply r_f/2 full rounds.
-        for (let i = 0; i < halfRoundsFull; i++)
-            values = poseidonRound(values, true, lastRound++);
-        if (lastRound !== totalRounds)
-            throw new Error('invalid number of rounds');
-        return values;
-    };
-    // For verification in tests
-    poseidonHash.roundConstants = roundConstants;
-    return poseidonHash;
-}
-export class PoseidonSponge {
-    constructor(Fp, rate, capacity, hash) {
-        this.pos = 0;
-        this.isAbsorbing = true;
-        this.Fp = Fp;
-        this.hash = hash;
-        this.rate = rate;
-        this.capacity = capacity;
-        this.state = new Array(rate + capacity);
-        this.clean();
-    }
-    process() {
-        this.state = this.hash(this.state);
-    }
-    absorb(input) {
-        for (const i of input)
-            if (typeof i !== 'bigint' || !this.Fp.isValid(i))
-                throw new Error('invalid input: ' + i);
-        for (let i = 0; i < input.length;) {
-            if (!this.isAbsorbing || this.pos === this.rate) {
-                this.process();
-                this.pos = 0;
-                this.isAbsorbing = true;
-            }
-            const chunk = Math.min(this.rate - this.pos, input.length - i);
-            for (let j = 0; j < chunk; j++) {
-                const idx = this.capacity + this.pos++;
-                this.state[idx] = this.Fp.add(this.state[idx], input[i++]);
-            }
-        }
-    }
-    squeeze(count) {
-        const res = [];
-        while (res.length < count) {
-            if (this.isAbsorbing || this.pos === this.rate) {
-                this.process();
-                this.pos = 0;
-                this.isAbsorbing = false;
-            }
-            const chunk = Math.min(this.rate - this.pos, count - res.length);
-            for (let i = 0; i < chunk; i++)
-                res.push(this.state[this.capacity + this.pos++]);
-        }
-        return res;
-    }
-    clean() {
-        this.state.fill(this.Fp.ZERO);
-        this.isAbsorbing = true;
-        this.pos = 0;
-    }
-    clone() {
-        const c = new PoseidonSponge(this.Fp, this.rate, this.capacity, this.hash);
-        c.pos = this.pos;
-        c.state = [...this.state];
-        return c;
-    }
-}
-/**
- * The method is not defined in spec, but nevertheless used often.
- * Check carefully for compatibility: there are many edge cases, like absorbing an empty array.
- * We cross-test against:
- * - https://github.com/ProvableHQ/snarkVM/tree/staging/algorithms
- * - https://github.com/arkworks-rs/crypto-primitives/tree/main
- */
-export function poseidonSponge(opts) {
-    for (const i of ['rate', 'capacity']) {
-        if (typeof opts[i] !== 'number' || !Number.isSafeInteger(opts[i]))
-            throw new Error('invalid number ' + i);
-    }
-    const { rate, capacity } = opts;
-    const t = opts.rate + opts.capacity;
-    // Re-use hash instance between multiple instances
-    const hash = poseidon({ ...opts, t });
-    const { Fp } = opts;
-    return () => new PoseidonSponge(Fp, rate, capacity, hash);
-}
-//# sourceMappingURL=poseidon.js.map

esm/abstract/poseidon.js.map

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esm/abstract/tower.d.ts

-import * as mod from './modular.ts';
-import type { WeierstrassPoint, WeierstrassPointCons } from './weierstrass.ts';
-export type BigintTuple = [bigint, bigint];
-export type Fp = bigint;
-export type Fp2 = {
-    c0: bigint;
-    c1: bigint;
-};
-export type BigintSix = [bigint, bigint, bigint, bigint, bigint, bigint];
-export type Fp6 = {
-    c0: Fp2;
-    c1: Fp2;
-    c2: Fp2;
-};
-export type Fp12 = {
-    c0: Fp6;
-    c1: Fp6;
-};
-export type BigintTwelve = [
-    bigint,
-    bigint,
-    bigint,
-    bigint,
-    bigint,
-    bigint,
-    bigint,
-    bigint,
-    bigint,
-    bigint,
-    bigint,
-    bigint
-];
-export type Fp2Bls = mod.IField<Fp2> & {
-    Fp: mod.IField<Fp>;
-    frobeniusMap(num: Fp2, power: number): Fp2;
-    fromBigTuple(num: BigintTuple): Fp2;
-    mulByB: (num: Fp2) => Fp2;
-    mulByNonresidue: (num: Fp2) => Fp2;
-    reim: (num: Fp2) => {
-        re: Fp;
-        im: Fp;
-    };
-    Fp4Square: (a: Fp2, b: Fp2) => {
-        first: Fp2;
-        second: Fp2;
-    };
-    NONRESIDUE: Fp2;
-};
-export type Fp6Bls = mod.IField<Fp6> & {
-    Fp2: Fp2Bls;
-    frobeniusMap(num: Fp6, power: number): Fp6;
-    fromBigSix: (tuple: BigintSix) => Fp6;
-    mul1(num: Fp6, b1: Fp2): Fp6;
-    mul01(num: Fp6, b0: Fp2, b1: Fp2): Fp6;
-    mulByFp2(lhs: Fp6, rhs: Fp2): Fp6;
-    mulByNonresidue: (num: Fp6) => Fp6;
-};
-export type Fp12Bls = mod.IField<Fp12> & {
-    Fp6: Fp6Bls;
-    frobeniusMap(num: Fp12, power: number): Fp12;
-    fromBigTwelve: (t: BigintTwelve) => Fp12;
-    mul014(num: Fp12, o0: Fp2, o1: Fp2, o4: Fp2): Fp12;
-    mul034(num: Fp12, o0: Fp2, o3: Fp2, o4: Fp2): Fp12;
-    mulByFp2(lhs: Fp12, rhs: Fp2): Fp12;
-    conjugate(num: Fp12): Fp12;
-    finalExponentiate(num: Fp12): Fp12;
-    _cyclotomicSquare(num: Fp12): Fp12;
-    _cyclotomicExp(num: Fp12, n: bigint): Fp12;
-};
-export declare function psiFrobenius(Fp: mod.IField<Fp>, Fp2: Fp2Bls, base: Fp2): {
-    psi: (x: Fp2, y: Fp2) => [Fp2, Fp2];
-    psi2: (x: Fp2, y: Fp2) => [Fp2, Fp2];
-    G2psi: (c: WeierstrassPointCons<Fp2>, P: WeierstrassPoint<Fp2>) => WeierstrassPoint<Fp2>;
-    G2psi2: (c: WeierstrassPointCons<Fp2>, P: WeierstrassPoint<Fp2>) => WeierstrassPoint<Fp2>;
-    PSI_X: Fp2;
-    PSI_Y: Fp2;
-    PSI2_X: Fp2;
-    PSI2_Y: Fp2;
-};
-export type Tower12Opts = {
-    ORDER: bigint;
-    X_LEN: number;
-    NONRESIDUE?: Fp;
-    FP2_NONRESIDUE: BigintTuple;
-    Fp2sqrt?: (num: Fp2) => Fp2;
-    Fp2mulByB: (num: Fp2) => Fp2;
-    Fp12finalExponentiate: (num: Fp12) => Fp12;
-};
-export declare function tower12(opts: Tower12Opts): {
-    Fp: Readonly<mod.IField<bigint> & Required<Pick<mod.IField<bigint>, 'isOdd'>>>;
-    Fp2: Fp2Bls;
-    Fp6: Fp6Bls;
-    Fp12: Fp12Bls;
-};
-//# sourceMappingURL=tower.d.ts.map

esm/abstract/tower.d.ts.map

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esm/abstract/tower.js

-/**
- * Towered extension fields.
- * Rather than implementing a massive 12th-degree extension directly, it is more efficient
- * to build it up from smaller extensions: a tower of extensions.
- *
- * For BLS12-381, the Fp12 field is implemented as a quadratic (degree two) extension,
- * on top of a cubic (degree three) extension, on top of a quadratic extension of Fp.
- *
- * For more info: "Pairings for beginners" by Costello, section 7.3.
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { bitGet, bitLen, concatBytes, notImplemented } from "../utils.js";
-import * as mod from "./modular.js";
-// Be friendly to bad ECMAScript parsers by not using bigint literals
-// prettier-ignore
-const _0n = BigInt(0), _1n = BigInt(1), _2n = BigInt(2), _3n = BigInt(3);
-function calcFrobeniusCoefficients(Fp, nonResidue, modulus, degree, num = 1, divisor) {
-    const _divisor = BigInt(divisor === undefined ? degree : divisor);
-    const towerModulus = modulus ** BigInt(degree);
-    const res = [];
-    for (let i = 0; i < num; i++) {
-        const a = BigInt(i + 1);
-        const powers = [];
-        for (let j = 0, qPower = _1n; j < degree; j++) {
-            const power = ((a * qPower - a) / _divisor) % towerModulus;
-            powers.push(Fp.pow(nonResidue, power));
-            qPower *= modulus;
-        }
-        res.push(powers);
-    }
-    return res;
-}
-// This works same at least for bls12-381, bn254 and bls12-377
-export function psiFrobenius(Fp, Fp2, base) {
-    // GLV endomorphism Ψ(P)
-    const PSI_X = Fp2.pow(base, (Fp.ORDER - _1n) / _3n); // u^((p-1)/3)
-    const PSI_Y = Fp2.pow(base, (Fp.ORDER - _1n) / _2n); // u^((p-1)/2)
-    function psi(x, y) {
-        // This x10 faster than previous version in bls12-381
-        const x2 = Fp2.mul(Fp2.frobeniusMap(x, 1), PSI_X);
-        const y2 = Fp2.mul(Fp2.frobeniusMap(y, 1), PSI_Y);
-        return [x2, y2];
-    }
-    // Ψ²(P) endomorphism (psi2(x) = psi(psi(x)))
-    const PSI2_X = Fp2.pow(base, (Fp.ORDER ** _2n - _1n) / _3n); // u^((p^2 - 1)/3)
-    // This equals -1, which causes y to be Fp2.neg(y).
-    // But not sure if there are case when this is not true?
-    const PSI2_Y = Fp2.pow(base, (Fp.ORDER ** _2n - _1n) / _2n); // u^((p^2 - 1)/3)
-    if (!Fp2.eql(PSI2_Y, Fp2.neg(Fp2.ONE)))
-        throw new Error('psiFrobenius: PSI2_Y!==-1');
-    function psi2(x, y) {
-        return [Fp2.mul(x, PSI2_X), Fp2.neg(y)];
-    }
-    // Map points
-    const mapAffine = (fn) => (c, P) => {
-        const affine = P.toAffine();
-        const p = fn(affine.x, affine.y);
-        return c.fromAffine({ x: p[0], y: p[1] });
-    };
-    const G2psi = mapAffine(psi);
-    const G2psi2 = mapAffine(psi2);
-    return { psi, psi2, G2psi, G2psi2, PSI_X, PSI_Y, PSI2_X, PSI2_Y };
-}
-const Fp2fromBigTuple = (Fp, tuple) => {
-    if (tuple.length !== 2)
-        throw new Error('invalid tuple');
-    const fps = tuple.map((n) => Fp.create(n));
-    return { c0: fps[0], c1: fps[1] };
-};
-class _Field2 {
-    constructor(Fp, opts = {}) {
-        this.MASK = _1n;
-        const ORDER = Fp.ORDER;
-        const FP2_ORDER = ORDER * ORDER;
-        this.Fp = Fp;
-        this.ORDER = FP2_ORDER;
-        this.BITS = bitLen(FP2_ORDER);
-        this.BYTES = Math.ceil(bitLen(FP2_ORDER) / 8);
-        this.isLE = Fp.isLE;
-        this.ZERO = { c0: Fp.ZERO, c1: Fp.ZERO };
-        this.ONE = { c0: Fp.ONE, c1: Fp.ZERO };
-        this.Fp_NONRESIDUE = Fp.create(opts.NONRESIDUE || BigInt(-1));
-        this.Fp_div2 = Fp.div(Fp.ONE, _2n); // 1/2
-        this.NONRESIDUE = Fp2fromBigTuple(Fp, opts.FP2_NONRESIDUE);
-        // const Fp2Nonresidue = Fp2fromBigTuple(opts.FP2_NONRESIDUE);
-        this.FROBENIUS_COEFFICIENTS = calcFrobeniusCoefficients(Fp, this.Fp_NONRESIDUE, Fp.ORDER, 2)[0];
-        this.mulByB = opts.Fp2mulByB;
-        Object.seal(this);
-    }
-    fromBigTuple(tuple) {
-        return Fp2fromBigTuple(this.Fp, tuple);
-    }
-    create(num) {
-        return num;
-    }
-    isValid({ c0, c1 }) {
-        function isValidC(num, ORDER) {
-            return typeof num === 'bigint' && _0n <= num && num < ORDER;
-        }
-        return isValidC(c0, this.ORDER) && isValidC(c1, this.ORDER);
-    }
-    is0({ c0, c1 }) {
-        return this.Fp.is0(c0) && this.Fp.is0(c1);
-    }
-    isValidNot0(num) {
-        return !this.is0(num) && this.isValid(num);
-    }
-    eql({ c0, c1 }, { c0: r0, c1: r1 }) {
-        return this.Fp.eql(c0, r0) && this.Fp.eql(c1, r1);
-    }
-    neg({ c0, c1 }) {
-        return { c0: this.Fp.neg(c0), c1: this.Fp.neg(c1) };
-    }
-    pow(num, power) {
-        return mod.FpPow(this, num, power);
-    }
-    invertBatch(nums) {
-        return mod.FpInvertBatch(this, nums);
-    }
-    // Normalized
-    add(f1, f2) {
-        const { c0, c1 } = f1;
-        const { c0: r0, c1: r1 } = f2;
-        return {
-            c0: this.Fp.add(c0, r0),
-            c1: this.Fp.add(c1, r1),
-        };
-    }
-    sub({ c0, c1 }, { c0: r0, c1: r1 }) {
-        return {
-            c0: this.Fp.sub(c0, r0),
-            c1: this.Fp.sub(c1, r1),
-        };
-    }
-    mul({ c0, c1 }, rhs) {
-        const { Fp } = this;
-        if (typeof rhs === 'bigint')
-            return { c0: Fp.mul(c0, rhs), c1: Fp.mul(c1, rhs) };
-        // (a+bi)(c+di) = (ac−bd) + (ad+bc)i
-        const { c0: r0, c1: r1 } = rhs;
-        let t1 = Fp.mul(c0, r0); // c0 * o0
-        let t2 = Fp.mul(c1, r1); // c1 * o1
-        // (T1 - T2) + ((c0 + c1) * (r0 + r1) - (T1 + T2))*i
-        const o0 = Fp.sub(t1, t2);
-        const o1 = Fp.sub(Fp.mul(Fp.add(c0, c1), Fp.add(r0, r1)), Fp.add(t1, t2));
-        return { c0: o0, c1: o1 };
-    }
-    sqr({ c0, c1 }) {
-        const { Fp } = this;
-        const a = Fp.add(c0, c1);
-        const b = Fp.sub(c0, c1);
-        const c = Fp.add(c0, c0);
-        return { c0: Fp.mul(a, b), c1: Fp.mul(c, c1) };
-    }
-    // NonNormalized stuff
-    addN(a, b) {
-        return this.add(a, b);
-    }
-    subN(a, b) {
-        return this.sub(a, b);
-    }
-    mulN(a, b) {
-        return this.mul(a, b);
-    }
-    sqrN(a) {
-        return this.sqr(a);
-    }
-    // Why inversion for bigint inside Fp instead of Fp2? it is even used in that context?
-    div(lhs, rhs) {
-        const { Fp } = this;
-        // @ts-ignore
-        return this.mul(lhs, typeof rhs === 'bigint' ? Fp.inv(Fp.create(rhs)) : this.inv(rhs));
-    }
-    inv({ c0: a, c1: b }) {
-        // We wish to find the multiplicative inverse of a nonzero
-        // element a + bu in Fp2. We leverage an identity
-        //
-        // (a + bu)(a - bu) = a² + b²
-        //
-        // which holds because u² = -1. This can be rewritten as
-        //
-        // (a + bu)(a - bu)/(a² + b²) = 1
-        //
-        // because a² + b² = 0 has no nonzero solutions for (a, b).
-        // This gives that (a - bu)/(a² + b²) is the inverse
-        // of (a + bu). Importantly, this can be computing using
-        // only a single inversion in Fp.
-        const { Fp } = this;
-        const factor = Fp.inv(Fp.create(a * a + b * b));
-        return { c0: Fp.mul(factor, Fp.create(a)), c1: Fp.mul(factor, Fp.create(-b)) };
-    }
-    sqrt(num) {
-        // This is generic for all quadratic extensions (Fp2)
-        const { Fp } = this;
-        const Fp2 = this;
-        const { c0, c1 } = num;
-        if (Fp.is0(c1)) {
-            // if c0 is quadratic residue
-            if (mod.FpLegendre(Fp, c0) === 1)
-                return Fp2.create({ c0: Fp.sqrt(c0), c1: Fp.ZERO });
-            else
-                return Fp2.create({ c0: Fp.ZERO, c1: Fp.sqrt(Fp.div(c0, this.Fp_NONRESIDUE)) });
-        }
-        const a = Fp.sqrt(Fp.sub(Fp.sqr(c0), Fp.mul(Fp.sqr(c1), this.Fp_NONRESIDUE)));
-        let d = Fp.mul(Fp.add(a, c0), this.Fp_div2);
-        const legendre = mod.FpLegendre(Fp, d);
-        // -1, Quadratic non residue
-        if (legendre === -1)
-            d = Fp.sub(d, a);
-        const a0 = Fp.sqrt(d);
-        const candidateSqrt = Fp2.create({ c0: a0, c1: Fp.div(Fp.mul(c1, this.Fp_div2), a0) });
-        if (!Fp2.eql(Fp2.sqr(candidateSqrt), num))
-            throw new Error('Cannot find square root');
-        // Normalize root: at this point candidateSqrt ** 2 = num, but also -candidateSqrt ** 2 = num
-        const x1 = candidateSqrt;
-        const x2 = Fp2.neg(x1);
-        const { re: re1, im: im1 } = Fp2.reim(x1);
-        const { re: re2, im: im2 } = Fp2.reim(x2);
-        if (im1 > im2 || (im1 === im2 && re1 > re2))
-            return x1;
-        return x2;
-    }
-    // Same as sgn0_m_eq_2 in RFC 9380
-    isOdd(x) {
-        const { re: x0, im: x1 } = this.reim(x);
-        const sign_0 = x0 % _2n;
-        const zero_0 = x0 === _0n;
-        const sign_1 = x1 % _2n;
-        return BigInt(sign_0 || (zero_0 && sign_1)) == _1n;
-    }
-    // Bytes util
-    fromBytes(b) {
-        const { Fp } = this;
-        if (b.length !== this.BYTES)
-            throw new Error('fromBytes invalid length=' + b.length);
-        return { c0: Fp.fromBytes(b.subarray(0, Fp.BYTES)), c1: Fp.fromBytes(b.subarray(Fp.BYTES)) };
-    }
-    toBytes({ c0, c1 }) {
-        return concatBytes(this.Fp.toBytes(c0), this.Fp.toBytes(c1));
-    }
-    cmov({ c0, c1 }, { c0: r0, c1: r1 }, c) {
-        return {
-            c0: this.Fp.cmov(c0, r0, c),
-            c1: this.Fp.cmov(c1, r1, c),
-        };
-    }
-    reim({ c0, c1 }) {
-        return { re: c0, im: c1 };
-    }
-    Fp4Square(a, b) {
-        const Fp2 = this;
-        const a2 = Fp2.sqr(a);
-        const b2 = Fp2.sqr(b);
-        return {
-            first: Fp2.add(Fp2.mulByNonresidue(b2), a2), // b² * Nonresidue + a²
-            second: Fp2.sub(Fp2.sub(Fp2.sqr(Fp2.add(a, b)), a2), b2), // (a + b)² - a² - b²
-        };
-    }
-    // multiply by u + 1
-    mulByNonresidue({ c0, c1 }) {
-        return this.mul({ c0, c1 }, this.NONRESIDUE);
-    }
-    frobeniusMap({ c0, c1 }, power) {
-        return {
-            c0,
-            c1: this.Fp.mul(c1, this.FROBENIUS_COEFFICIENTS[power % 2]),
-        };
-    }
-}
-class _Field6 {
-    constructor(Fp2) {
-        this.MASK = _1n;
-        this.Fp2 = Fp2;
-        this.ORDER = Fp2.ORDER; // TODO: unused, but need to verify
-        this.BITS = 3 * Fp2.BITS;
-        this.BYTES = 3 * Fp2.BYTES;
-        this.isLE = Fp2.isLE;
-        this.ZERO = { c0: Fp2.ZERO, c1: Fp2.ZERO, c2: Fp2.ZERO };
-        this.ONE = { c0: Fp2.ONE, c1: Fp2.ZERO, c2: Fp2.ZERO };
-        const { Fp } = Fp2;
-        const frob = calcFrobeniusCoefficients(Fp2, Fp2.NONRESIDUE, Fp.ORDER, 6, 2, 3);
-        this.FROBENIUS_COEFFICIENTS_1 = frob[0];
-        this.FROBENIUS_COEFFICIENTS_2 = frob[1];
-        Object.seal(this);
-    }
-    add({ c0, c1, c2 }, { c0: r0, c1: r1, c2: r2 }) {
-        const { Fp2 } = this;
-        return {
-            c0: Fp2.add(c0, r0),
-            c1: Fp2.add(c1, r1),
-            c2: Fp2.add(c2, r2),
-        };
-    }
-    sub({ c0, c1, c2 }, { c0: r0, c1: r1, c2: r2 }) {
-        const { Fp2 } = this;
-        return {
-            c0: Fp2.sub(c0, r0),
-            c1: Fp2.sub(c1, r1),
-            c2: Fp2.sub(c2, r2),
-        };
-    }
-    mul({ c0, c1, c2 }, rhs) {
-        const { Fp2 } = this;
-        if (typeof rhs === 'bigint') {
-            return {
-                c0: Fp2.mul(c0, rhs),
-                c1: Fp2.mul(c1, rhs),
-                c2: Fp2.mul(c2, rhs),
-            };
-        }
-        const { c0: r0, c1: r1, c2: r2 } = rhs;
-        const t0 = Fp2.mul(c0, r0); // c0 * o0
-        const t1 = Fp2.mul(c1, r1); // c1 * o1
-        const t2 = Fp2.mul(c2, r2); // c2 * o2
-        return {
-            // t0 + (c1 + c2) * (r1 * r2) - (T1 + T2) * (u + 1)
-            c0: Fp2.add(t0, Fp2.mulByNonresidue(Fp2.sub(Fp2.mul(Fp2.add(c1, c2), Fp2.add(r1, r2)), Fp2.add(t1, t2)))),
-            // (c0 + c1) * (r0 + r1) - (T0 + T1) + T2 * (u + 1)
-            c1: Fp2.add(Fp2.sub(Fp2.mul(Fp2.add(c0, c1), Fp2.add(r0, r1)), Fp2.add(t0, t1)), Fp2.mulByNonresidue(t2)),
-            // T1 + (c0 + c2) * (r0 + r2) - T0 + T2
-            c2: Fp2.sub(Fp2.add(t1, Fp2.mul(Fp2.add(c0, c2), Fp2.add(r0, r2))), Fp2.add(t0, t2)),
-        };
-    }
-    sqr({ c0, c1, c2 }) {
-        const { Fp2 } = this;
-        let t0 = Fp2.sqr(c0); // c0²
-        let t1 = Fp2.mul(Fp2.mul(c0, c1), _2n); // 2 * c0 * c1
-        let t3 = Fp2.mul(Fp2.mul(c1, c2), _2n); // 2 * c1 * c2
-        let t4 = Fp2.sqr(c2); // c2²
-        return {
-            c0: Fp2.add(Fp2.mulByNonresidue(t3), t0), // T3 * (u + 1) + T0
-            c1: Fp2.add(Fp2.mulByNonresidue(t4), t1), // T4 * (u + 1) + T1
-            // T1 + (c0 - c1 + c2)² + T3 - T0 - T4
-            c2: Fp2.sub(Fp2.sub(Fp2.add(Fp2.add(t1, Fp2.sqr(Fp2.add(Fp2.sub(c0, c1), c2))), t3), t0), t4),
-        };
-    }
-    addN(a, b) {
-        return this.add(a, b);
-    }
-    subN(a, b) {
-        return this.sub(a, b);
-    }
-    mulN(a, b) {
-        return this.mul(a, b);
-    }
-    sqrN(a) {
-        return this.sqr(a);
-    }
-    create(num) {
-        return num;
-    }
-    isValid({ c0, c1, c2 }) {
-        const { Fp2 } = this;
-        return Fp2.isValid(c0) && Fp2.isValid(c1) && Fp2.isValid(c2);
-    }
-    is0({ c0, c1, c2 }) {
-        const { Fp2 } = this;
-        return Fp2.is0(c0) && Fp2.is0(c1) && Fp2.is0(c2);
-    }
-    isValidNot0(num) {
-        return !this.is0(num) && this.isValid(num);
-    }
-    neg({ c0, c1, c2 }) {
-        const { Fp2 } = this;
-        return { c0: Fp2.neg(c0), c1: Fp2.neg(c1), c2: Fp2.neg(c2) };
-    }
-    eql({ c0, c1, c2 }, { c0: r0, c1: r1, c2: r2 }) {
-        const { Fp2 } = this;
-        return Fp2.eql(c0, r0) && Fp2.eql(c1, r1) && Fp2.eql(c2, r2);
-    }
-    sqrt(_) {
-        return notImplemented();
-    }
-    // Do we need division by bigint at all? Should be done via order:
-    div(lhs, rhs) {
-        const { Fp2 } = this;
-        const { Fp } = Fp2;
-        return this.mul(lhs, typeof rhs === 'bigint' ? Fp.inv(Fp.create(rhs)) : this.inv(rhs));
-    }
-    pow(num, power) {
-        return mod.FpPow(this, num, power);
-    }
-    invertBatch(nums) {
-        return mod.FpInvertBatch(this, nums);
-    }
-    inv({ c0, c1, c2 }) {
-        const { Fp2 } = this;
-        let t0 = Fp2.sub(Fp2.sqr(c0), Fp2.mulByNonresidue(Fp2.mul(c2, c1))); // c0² - c2 * c1 * (u + 1)
-        let t1 = Fp2.sub(Fp2.mulByNonresidue(Fp2.sqr(c2)), Fp2.mul(c0, c1)); // c2² * (u + 1) - c0 * c1
-        let t2 = Fp2.sub(Fp2.sqr(c1), Fp2.mul(c0, c2)); // c1² - c0 * c2
-        // 1/(((c2 * T1 + c1 * T2) * v) + c0 * T0)
-        let t4 = Fp2.inv(Fp2.add(Fp2.mulByNonresidue(Fp2.add(Fp2.mul(c2, t1), Fp2.mul(c1, t2))), Fp2.mul(c0, t0)));
-        return { c0: Fp2.mul(t4, t0), c1: Fp2.mul(t4, t1), c2: Fp2.mul(t4, t2) };
-    }
-    // Bytes utils
-    fromBytes(b) {
-        const { Fp2 } = this;
-        if (b.length !== this.BYTES)
-            throw new Error('fromBytes invalid length=' + b.length);
-        const B2 = Fp2.BYTES;
-        return {
-            c0: Fp2.fromBytes(b.subarray(0, B2)),
-            c1: Fp2.fromBytes(b.subarray(B2, B2 * 2)),
-            c2: Fp2.fromBytes(b.subarray(2 * B2)),
-        };
-    }
-    toBytes({ c0, c1, c2 }) {
-        const { Fp2 } = this;
-        return concatBytes(Fp2.toBytes(c0), Fp2.toBytes(c1), Fp2.toBytes(c2));
-    }
-    cmov({ c0, c1, c2 }, { c0: r0, c1: r1, c2: r2 }, c) {
-        const { Fp2 } = this;
-        return {
-            c0: Fp2.cmov(c0, r0, c),
-            c1: Fp2.cmov(c1, r1, c),
-            c2: Fp2.cmov(c2, r2, c),
-        };
-    }
-    fromBigSix(t) {
-        const { Fp2 } = this;
-        if (!Array.isArray(t) || t.length !== 6)
-            throw new Error('invalid Fp6 usage');
-        return {
-            c0: Fp2.fromBigTuple(t.slice(0, 2)),
-            c1: Fp2.fromBigTuple(t.slice(2, 4)),
-            c2: Fp2.fromBigTuple(t.slice(4, 6)),
-        };
-    }
-    frobeniusMap({ c0, c1, c2 }, power) {
-        const { Fp2 } = this;
-        return {
-            c0: Fp2.frobeniusMap(c0, power),
-            c1: Fp2.mul(Fp2.frobeniusMap(c1, power), this.FROBENIUS_COEFFICIENTS_1[power % 6]),
-            c2: Fp2.mul(Fp2.frobeniusMap(c2, power), this.FROBENIUS_COEFFICIENTS_2[power % 6]),
-        };
-    }
-    mulByFp2({ c0, c1, c2 }, rhs) {
-        const { Fp2 } = this;
-        return {
-            c0: Fp2.mul(c0, rhs),
-            c1: Fp2.mul(c1, rhs),
-            c2: Fp2.mul(c2, rhs),
-        };
-    }
-    mulByNonresidue({ c0, c1, c2 }) {
-        const { Fp2 } = this;
-        return { c0: Fp2.mulByNonresidue(c2), c1: c0, c2: c1 };
-    }
-    // Sparse multiplication
-    mul1({ c0, c1, c2 }, b1) {
-        const { Fp2 } = this;
-        return {
-            c0: Fp2.mulByNonresidue(Fp2.mul(c2, b1)),
-            c1: Fp2.mul(c0, b1),
-            c2: Fp2.mul(c1, b1),
-        };
-    }
-    // Sparse multiplication
-    mul01({ c0, c1, c2 }, b0, b1) {
-        const { Fp2 } = this;
-        let t0 = Fp2.mul(c0, b0); // c0 * b0
-        let t1 = Fp2.mul(c1, b1); // c1 * b1
-        return {
-            // ((c1 + c2) * b1 - T1) * (u + 1) + T0
-            c0: Fp2.add(Fp2.mulByNonresidue(Fp2.sub(Fp2.mul(Fp2.add(c1, c2), b1), t1)), t0),
-            // (b0 + b1) * (c0 + c1) - T0 - T1
-            c1: Fp2.sub(Fp2.sub(Fp2.mul(Fp2.add(b0, b1), Fp2.add(c0, c1)), t0), t1),
-            // (c0 + c2) * b0 - T0 + T1
-            c2: Fp2.add(Fp2.sub(Fp2.mul(Fp2.add(c0, c2), b0), t0), t1),
-        };
-    }
-}
-class _Field12 {
-    constructor(Fp6, opts) {
-        this.MASK = _1n;
-        const { Fp2 } = Fp6;
-        const { Fp } = Fp2;
-        this.Fp6 = Fp6;
-        this.ORDER = Fp2.ORDER; // TODO: verify if it's unuesd
-        this.BITS = 2 * Fp6.BITS;
-        this.BYTES = 2 * Fp6.BYTES;
-        this.isLE = Fp6.isLE;
-        this.ZERO = { c0: Fp6.ZERO, c1: Fp6.ZERO };
-        this.ONE = { c0: Fp6.ONE, c1: Fp6.ZERO };
-        this.FROBENIUS_COEFFICIENTS = calcFrobeniusCoefficients(Fp2, Fp2.NONRESIDUE, Fp.ORDER, 12, 1, 6)[0];
-        this.X_LEN = opts.X_LEN;
-        this.finalExponentiate = opts.Fp12finalExponentiate;
-    }
-    create(num) {
-        return num;
-    }
-    isValid({ c0, c1 }) {
-        const { Fp6 } = this;
-        return Fp6.isValid(c0) && Fp6.isValid(c1);
-    }
-    is0({ c0, c1 }) {
-        const { Fp6 } = this;
-        return Fp6.is0(c0) && Fp6.is0(c1);
-    }
-    isValidNot0(num) {
-        return !this.is0(num) && this.isValid(num);
-    }
-    neg({ c0, c1 }) {
-        const { Fp6 } = this;
-        return { c0: Fp6.neg(c0), c1: Fp6.neg(c1) };
-    }
-    eql({ c0, c1 }, { c0: r0, c1: r1 }) {
-        const { Fp6 } = this;
-        return Fp6.eql(c0, r0) && Fp6.eql(c1, r1);
-    }
-    sqrt(_) {
-        notImplemented();
-    }
-    inv({ c0, c1 }) {
-        const { Fp6 } = this;
-        let t = Fp6.inv(Fp6.sub(Fp6.sqr(c0), Fp6.mulByNonresidue(Fp6.sqr(c1)))); // 1 / (c0² - c1² * v)
-        return { c0: Fp6.mul(c0, t), c1: Fp6.neg(Fp6.mul(c1, t)) }; // ((C0 * T) * T) + (-C1 * T) * w
-    }
-    div(lhs, rhs) {
-        const { Fp6 } = this;
-        const { Fp2 } = Fp6;
-        const { Fp } = Fp2;
-        return this.mul(lhs, typeof rhs === 'bigint' ? Fp.inv(Fp.create(rhs)) : this.inv(rhs));
-    }
-    pow(num, power) {
-        return mod.FpPow(this, num, power);
-    }
-    invertBatch(nums) {
-        return mod.FpInvertBatch(this, nums);
-    }
-    // Normalized
-    add({ c0, c1 }, { c0: r0, c1: r1 }) {
-        const { Fp6 } = this;
-        return {
-            c0: Fp6.add(c0, r0),
-            c1: Fp6.add(c1, r1),
-        };
-    }
-    sub({ c0, c1 }, { c0: r0, c1: r1 }) {
-        const { Fp6 } = this;
-        return {
-            c0: Fp6.sub(c0, r0),
-            c1: Fp6.sub(c1, r1),
-        };
-    }
-    mul({ c0, c1 }, rhs) {
-        const { Fp6 } = this;
-        if (typeof rhs === 'bigint')
-            return { c0: Fp6.mul(c0, rhs), c1: Fp6.mul(c1, rhs) };
-        let { c0: r0, c1: r1 } = rhs;
-        let t1 = Fp6.mul(c0, r0); // c0 * r0
-        let t2 = Fp6.mul(c1, r1); // c1 * r1
-        return {
-            c0: Fp6.add(t1, Fp6.mulByNonresidue(t2)), // T1 + T2 * v
-            // (c0 + c1) * (r0 + r1) - (T1 + T2)
-            c1: Fp6.sub(Fp6.mul(Fp6.add(c0, c1), Fp6.add(r0, r1)), Fp6.add(t1, t2)),
-        };
-    }
-    sqr({ c0, c1 }) {
-        const { Fp6 } = this;
-        let ab = Fp6.mul(c0, c1); // c0 * c1
-        return {
-            // (c1 * v + c0) * (c0 + c1) - AB - AB * v
-            c0: Fp6.sub(Fp6.sub(Fp6.mul(Fp6.add(Fp6.mulByNonresidue(c1), c0), Fp6.add(c0, c1)), ab), Fp6.mulByNonresidue(ab)),
-            c1: Fp6.add(ab, ab),
-        }; // AB + AB
-    }
-    // NonNormalized stuff
-    addN(a, b) {
-        return this.add(a, b);
-    }
-    subN(a, b) {
-        return this.sub(a, b);
-    }
-    mulN(a, b) {
-        return this.mul(a, b);
-    }
-    sqrN(a) {
-        return this.sqr(a);
-    }
-    // Bytes utils
-    fromBytes(b) {
-        const { Fp6 } = this;
-        if (b.length !== this.BYTES)
-            throw new Error('fromBytes invalid length=' + b.length);
-        return {
-            c0: Fp6.fromBytes(b.subarray(0, Fp6.BYTES)),
-            c1: Fp6.fromBytes(b.subarray(Fp6.BYTES)),
-        };
-    }
-    toBytes({ c0, c1 }) {
-        const { Fp6 } = this;
-        return concatBytes(Fp6.toBytes(c0), Fp6.toBytes(c1));
-    }
-    cmov({ c0, c1 }, { c0: r0, c1: r1 }, c) {
-        const { Fp6 } = this;
-        return {
-            c0: Fp6.cmov(c0, r0, c),
-            c1: Fp6.cmov(c1, r1, c),
-        };
-    }
-    // Utils
-    // toString() {
-    //   return '' + 'Fp12(' + this.c0 + this.c1 + '* w');
-    // },
-    // fromTuple(c: [Fp6, Fp6]) {
-    //   return new Fp12(...c);
-    // }
-    fromBigTwelve(t) {
-        const { Fp6 } = this;
-        return {
-            c0: Fp6.fromBigSix(t.slice(0, 6)),
-            c1: Fp6.fromBigSix(t.slice(6, 12)),
-        };
-    }
-    // Raises to q**i -th power
-    frobeniusMap(lhs, power) {
-        const { Fp6 } = this;
-        const { Fp2 } = Fp6;
-        const { c0, c1, c2 } = Fp6.frobeniusMap(lhs.c1, power);
-        const coeff = this.FROBENIUS_COEFFICIENTS[power % 12];
-        return {
-            c0: Fp6.frobeniusMap(lhs.c0, power),
-            c1: Fp6.create({
-                c0: Fp2.mul(c0, coeff),
-                c1: Fp2.mul(c1, coeff),
-                c2: Fp2.mul(c2, coeff),
-            }),
-        };
-    }
-    mulByFp2({ c0, c1 }, rhs) {
-        const { Fp6 } = this;
-        return {
-            c0: Fp6.mulByFp2(c0, rhs),
-            c1: Fp6.mulByFp2(c1, rhs),
-        };
-    }
-    conjugate({ c0, c1 }) {
-        return { c0, c1: this.Fp6.neg(c1) };
-    }
-    // Sparse multiplication
-    mul014({ c0, c1 }, o0, o1, o4) {
-        const { Fp6 } = this;
-        const { Fp2 } = Fp6;
-        let t0 = Fp6.mul01(c0, o0, o1);
-        let t1 = Fp6.mul1(c1, o4);
-        return {
-            c0: Fp6.add(Fp6.mulByNonresidue(t1), t0), // T1 * v + T0
-            // (c1 + c0) * [o0, o1+o4] - T0 - T1
-            c1: Fp6.sub(Fp6.sub(Fp6.mul01(Fp6.add(c1, c0), o0, Fp2.add(o1, o4)), t0), t1),
-        };
-    }
-    mul034({ c0, c1 }, o0, o3, o4) {
-        const { Fp6 } = this;
-        const { Fp2 } = Fp6;
-        const a = Fp6.create({
-            c0: Fp2.mul(c0.c0, o0),
-            c1: Fp2.mul(c0.c1, o0),
-            c2: Fp2.mul(c0.c2, o0),
-        });
-        const b = Fp6.mul01(c1, o3, o4);
-        const e = Fp6.mul01(Fp6.add(c0, c1), Fp2.add(o0, o3), o4);
-        return {
-            c0: Fp6.add(Fp6.mulByNonresidue(b), a),
-            c1: Fp6.sub(e, Fp6.add(a, b)),
-        };
-    }
-    // A cyclotomic group is a subgroup of Fp^n defined by
-    //   GΦₙ(p) = {α ∈ Fpⁿ : α^Φₙ(p) = 1}
-    // The result of any pairing is in a cyclotomic subgroup
-    // https://eprint.iacr.org/2009/565.pdf
-    // https://eprint.iacr.org/2010/354.pdf
-    _cyclotomicSquare({ c0, c1 }) {
-        const { Fp6 } = this;
-        const { Fp2 } = Fp6;
-        const { c0: c0c0, c1: c0c1, c2: c0c2 } = c0;
-        const { c0: c1c0, c1: c1c1, c2: c1c2 } = c1;
-        const { first: t3, second: t4 } = Fp2.Fp4Square(c0c0, c1c1);
-        const { first: t5, second: t6 } = Fp2.Fp4Square(c1c0, c0c2);
-        const { first: t7, second: t8 } = Fp2.Fp4Square(c0c1, c1c2);
-        const t9 = Fp2.mulByNonresidue(t8); // T8 * (u + 1)
-        return {
-            c0: Fp6.create({
-                c0: Fp2.add(Fp2.mul(Fp2.sub(t3, c0c0), _2n), t3), // 2 * (T3 - c0c0)  + T3
-                c1: Fp2.add(Fp2.mul(Fp2.sub(t5, c0c1), _2n), t5), // 2 * (T5 - c0c1)  + T5
-                c2: Fp2.add(Fp2.mul(Fp2.sub(t7, c0c2), _2n), t7),
-            }), // 2 * (T7 - c0c2)  + T7
-            c1: Fp6.create({
-                c0: Fp2.add(Fp2.mul(Fp2.add(t9, c1c0), _2n), t9), // 2 * (T9 + c1c0) + T9
-                c1: Fp2.add(Fp2.mul(Fp2.add(t4, c1c1), _2n), t4), // 2 * (T4 + c1c1) + T4
-                c2: Fp2.add(Fp2.mul(Fp2.add(t6, c1c2), _2n), t6),
-            }),
-        }; // 2 * (T6 + c1c2) + T6
-    }
-    // https://eprint.iacr.org/2009/565.pdf
-    _cyclotomicExp(num, n) {
-        let z = this.ONE;
-        for (let i = this.X_LEN - 1; i >= 0; i--) {
-            z = this._cyclotomicSquare(z);
-            if (bitGet(n, i))
-                z = this.mul(z, num);
-        }
-        return z;
-    }
-}
-export function tower12(opts) {
-    const Fp = mod.Field(opts.ORDER);
-    const Fp2 = new _Field2(Fp, opts);
-    const Fp6 = new _Field6(Fp2);
-    const Fp12 = new _Field12(Fp6, opts);
-    return { Fp, Fp2, Fp6, Fp12 };
-}
-//# sourceMappingURL=tower.js.map

esm/abstract/tower.js.map

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esm/abstract/utils.d.ts

-/**
- * @module
- */
-export * from '../utils.ts';
-//# sourceMappingURL=utils.d.ts.map

esm/abstract/utils.d.ts.map

-{"version":3,"file":"utils.d.ts","sourceRoot":"","sources":["../../src/abstract/utils.ts"],"names":[],"mappings":"AAAA;;GAEG;AACH,cAAc,aAAa,CAAC"}

esm/abstract/utils.js

-/**
- * @module
- */
-export * from "../utils.js";
-// TODO
-// @deprecated use `@noble/curves/utils.js`
-//# sourceMappingURL=utils.js.map

esm/abstract/utils.js.map

-{"version":3,"file":"utils.js","sourceRoot":"","sources":["../../src/abstract/utils.ts"],"names":[],"mappings":"AAAA;;GAEG;AACH,cAAc,aAAa,CAAC;AAE5B,OAAO;AACP,2CAA2C"}

esm/abstract/weierstrass.d.ts

-import { type CHash, type Hex, type PrivKey } from '../utils.ts';
-import { type AffinePoint, type BasicCurve, type CurveLengths, type CurvePoint, type CurvePointCons } from './curve.ts';
-import { type IField, type NLength } from './modular.ts';
-export type { AffinePoint };
-export type HmacFnSync = (key: Uint8Array, ...messages: Uint8Array[]) => Uint8Array;
-type EndoBasis = [[bigint, bigint], [bigint, bigint]];
-/**
- * When Weierstrass curve has `a=0`, it becomes Koblitz curve.
- * Koblitz curves allow using **efficiently-computable GLV endomorphism ψ**.
- * Endomorphism uses 2x less RAM, speeds up precomputation by 2x and ECDH / key recovery by 20%.
- * For precomputed wNAF it trades off 1/2 init time & 1/3 ram for 20% perf hit.
- *
- * Endomorphism consists of beta, lambda and splitScalar:
- *
- * 1. GLV endomorphism ψ transforms a point: `P = (x, y) ↦ ψ(P) = (β·x mod p, y)`
- * 2. GLV scalar decomposition transforms a scalar: `k ≡ k₁ + k₂·λ (mod n)`
- * 3. Then these are combined: `k·P = k₁·P + k₂·ψ(P)`
- * 4. Two 128-bit point-by-scalar multiplications + one point addition is faster than
- *    one 256-bit multiplication.
- *
- * where
- * * beta: β ∈ Fₚ with β³ = 1, β ≠ 1
- * * lambda: λ ∈ Fₙ with λ³ = 1, λ ≠ 1
- * * splitScalar decomposes k ↦ k₁, k₂, by using reduced basis vectors.
- *   Gauss lattice reduction calculates them from initial basis vectors `(n, 0), (-λ, 0)`
- *
- * Check out `test/misc/endomorphism.js` and
- * [gist](https://gist.github.com/paulmillr/eb670806793e84df628a7c434a873066).
- */
-export type EndomorphismOpts = {
-    beta: bigint;
-    basises?: EndoBasis;
-    splitScalar?: (k: bigint) => {
-        k1neg: boolean;
-        k1: bigint;
-        k2neg: boolean;
-        k2: bigint;
-    };
-};
-export type ScalarEndoParts = {
-    k1neg: boolean;
-    k1: bigint;
-    k2neg: boolean;
-    k2: bigint;
-};
-/**
- * Splits scalar for GLV endomorphism.
- */
-export declare function _splitEndoScalar(k: bigint, basis: EndoBasis, n: bigint): ScalarEndoParts;
-export type ECDSASigFormat = 'compact' | 'recovered' | 'der';
-export type ECDSARecoverOpts = {
-    prehash?: boolean;
-};
-export type ECDSAVerifyOpts = {
-    prehash?: boolean;
-    lowS?: boolean;
-    format?: ECDSASigFormat;
-};
-export type ECDSASignOpts = {
-    prehash?: boolean;
-    lowS?: boolean;
-    format?: ECDSASigFormat;
-    extraEntropy?: Uint8Array | boolean;
-};
-/** Instance methods for 3D XYZ projective points. */
-export interface WeierstrassPoint<T> extends CurvePoint<T, WeierstrassPoint<T>> {
-    /** projective X coordinate. Different from affine x. */
-    readonly X: T;
-    /** projective Y coordinate. Different from affine y. */
-    readonly Y: T;
-    /** projective z coordinate */
-    readonly Z: T;
-    /** affine x coordinate. Different from projective X. */
-    get x(): T;
-    /** affine y coordinate. Different from projective Y. */
-    get y(): T;
-    /** Encodes point using IEEE P1363 (DER) encoding. First byte is 2/3/4. Default = isCompressed. */
-    toBytes(isCompressed?: boolean): Uint8Array;
-    toHex(isCompressed?: boolean): string;
-    /** @deprecated use `.X` */
-    readonly px: T;
-    /** @deprecated use `.Y` */
-    readonly py: T;
-    /** @deprecated use `.Z` */
-    readonly pz: T;
-    /** @deprecated use `toBytes` */
-    toRawBytes(isCompressed?: boolean): Uint8Array;
-    /** @deprecated use `multiplyUnsafe` */
-    multiplyAndAddUnsafe(Q: WeierstrassPoint<T>, a: bigint, b: bigint): WeierstrassPoint<T> | undefined;
-    /** @deprecated use `p.y % 2n === 0n` */
-    hasEvenY(): boolean;
-    /** @deprecated use `p.precompute(windowSize)` */
-    _setWindowSize(windowSize: number): void;
-}
-/** Static methods for 3D XYZ projective points. */
-export interface WeierstrassPointCons<T> extends CurvePointCons<WeierstrassPoint<T>> {
-    /** Does NOT validate if the point is valid. Use `.assertValidity()`. */
-    new (X: T, Y: T, Z: T): WeierstrassPoint<T>;
-    CURVE(): WeierstrassOpts<T>;
-    /** @deprecated use `Point.BASE.multiply(Point.Fn.fromBytes(privateKey))` */
-    fromPrivateKey(privateKey: PrivKey): WeierstrassPoint<T>;
-    /** @deprecated use `import { normalizeZ } from '@noble/curves/abstract/curve.js';` */
-    normalizeZ(points: WeierstrassPoint<T>[]): WeierstrassPoint<T>[];
-    /** @deprecated use `import { pippenger } from '@noble/curves/abstract/curve.js';` */
-    msm(points: WeierstrassPoint<T>[], scalars: bigint[]): WeierstrassPoint<T>;
-}
-/**
- * Weierstrass curve options.
- *
- * * p: prime characteristic (order) of finite field, in which arithmetics is done
- * * n: order of prime subgroup a.k.a total amount of valid curve points
- * * h: cofactor, usually 1. h*n is group order; n is subgroup order
- * * a: formula param, must be in field of p
- * * b: formula param, must be in field of p
- * * Gx: x coordinate of generator point a.k.a. base point
- * * Gy: y coordinate of generator point
- */
-export type WeierstrassOpts<T> = Readonly<{
-    p: bigint;
-    n: bigint;
-    h: bigint;
-    a: T;
-    b: T;
-    Gx: T;
-    Gy: T;
-}>;
-export type WeierstrassExtraOpts<T> = Partial<{
-    Fp: IField<T>;
-    Fn: IField<bigint>;
-    allowInfinityPoint: boolean;
-    endo: EndomorphismOpts;
-    isTorsionFree: (c: WeierstrassPointCons<T>, point: WeierstrassPoint<T>) => boolean;
-    clearCofactor: (c: WeierstrassPointCons<T>, point: WeierstrassPoint<T>) => WeierstrassPoint<T>;
-    fromBytes: (bytes: Uint8Array) => AffinePoint<T>;
-    toBytes: (c: WeierstrassPointCons<T>, point: WeierstrassPoint<T>, isCompressed: boolean) => Uint8Array;
-}>;
-/**
- * Options for ECDSA signatures over a Weierstrass curve.
- *
- * * lowS: (default: true) whether produced / verified signatures occupy low half of ecdsaOpts.p. Prevents malleability.
- * * hmac: (default: noble-hashes hmac) function, would be used to init hmac-drbg for k generation.
- * * randomBytes: (default: webcrypto os-level CSPRNG) custom method for fetching secure randomness.
- * * bits2int, bits2int_modN: used in sigs, sometimes overridden by curves
- */
-export type ECDSAOpts = Partial<{
-    lowS: boolean;
-    hmac: HmacFnSync;
-    randomBytes: (bytesLength?: number) => Uint8Array;
-    bits2int: (bytes: Uint8Array) => bigint;
-    bits2int_modN: (bytes: Uint8Array) => bigint;
-}>;
-/**
- * Elliptic Curve Diffie-Hellman interface.
- * Provides keygen, secret-to-public conversion, calculating shared secrets.
- */
-export interface ECDH {
-    keygen: (seed?: Uint8Array) => {
-        secretKey: Uint8Array;
-        publicKey: Uint8Array;
-    };
-    getPublicKey: (secretKey: PrivKey, isCompressed?: boolean) => Uint8Array;
-    getSharedSecret: (secretKeyA: PrivKey, publicKeyB: Hex, isCompressed?: boolean) => Uint8Array;
-    Point: WeierstrassPointCons<bigint>;
-    utils: {
-        isValidSecretKey: (secretKey: PrivKey) => boolean;
-        isValidPublicKey: (publicKey: Uint8Array, isCompressed?: boolean) => boolean;
-        randomSecretKey: (seed?: Uint8Array) => Uint8Array;
-        /** @deprecated use `randomSecretKey` */
-        randomPrivateKey: (seed?: Uint8Array) => Uint8Array;
-        /** @deprecated use `isValidSecretKey` */
-        isValidPrivateKey: (secretKey: PrivKey) => boolean;
-        /** @deprecated use `Point.Fn.fromBytes()` */
-        normPrivateKeyToScalar: (key: PrivKey) => bigint;
-        /** @deprecated use `point.precompute()` */
-        precompute: (windowSize?: number, point?: WeierstrassPoint<bigint>) => WeierstrassPoint<bigint>;
-    };
-    lengths: CurveLengths;
-}
-/**
- * ECDSA interface.
- * Only supported for prime fields, not Fp2 (extension fields).
- */
-export interface ECDSA extends ECDH {
-    sign: (message: Hex, secretKey: PrivKey, opts?: ECDSASignOpts) => ECDSASigRecovered;
-    verify: (signature: Uint8Array, message: Uint8Array, publicKey: Uint8Array, opts?: ECDSAVerifyOpts) => boolean;
-    recoverPublicKey(signature: Uint8Array, message: Uint8Array, opts?: ECDSARecoverOpts): Uint8Array;
-    Signature: ECDSASignatureCons;
-}
-export declare class DERErr extends Error {
-    constructor(m?: string);
-}
-export type IDER = {
-    Err: typeof DERErr;
-    _tlv: {
-        encode: (tag: number, data: string) => string;
-        decode(tag: number, data: Uint8Array): {
-            v: Uint8Array;
-            l: Uint8Array;
-        };
-    };
-    _int: {
-        encode(num: bigint): string;
-        decode(data: Uint8Array): bigint;
-    };
-    toSig(hex: string | Uint8Array): {
-        r: bigint;
-        s: bigint;
-    };
-    hexFromSig(sig: {
-        r: bigint;
-        s: bigint;
-    }): string;
-};
-/**
- * ASN.1 DER encoding utilities. ASN is very complex & fragile. Format:
- *
- *     [0x30 (SEQUENCE), bytelength, 0x02 (INTEGER), intLength, R, 0x02 (INTEGER), intLength, S]
- *
- * Docs: https://letsencrypt.org/docs/a-warm-welcome-to-asn1-and-der/, https://luca.ntop.org/Teaching/Appunti/asn1.html
- */
-export declare const DER: IDER;
-export declare function _normFnElement(Fn: IField<bigint>, key: PrivKey): bigint;
-/**
- * Creates weierstrass Point constructor, based on specified curve options.
- *
- * @example
-```js
-const opts = {
-  p: BigInt('0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff'),
-  n: BigInt('0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551'),
-  h: BigInt(1),
-  a: BigInt('0xffffffff00000001000000000000000000000000fffffffffffffffffffffffc'),
-  b: BigInt('0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b'),
-  Gx: BigInt('0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296'),
-  Gy: BigInt('0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5'),
-};
-const p256_Point = weierstrass(opts);
-```
- */
-export declare function weierstrassN<T>(params: WeierstrassOpts<T>, extraOpts?: WeierstrassExtraOpts<T>): WeierstrassPointCons<T>;
-/** Methods of ECDSA signature instance. */
-export interface ECDSASignature {
-    readonly r: bigint;
-    readonly s: bigint;
-    readonly recovery?: number;
-    addRecoveryBit(recovery: number): ECDSASigRecovered;
-    hasHighS(): boolean;
-    toBytes(format?: string): Uint8Array;
-    toHex(format?: string): string;
-    /** @deprecated */
-    assertValidity(): void;
-    /** @deprecated */
-    normalizeS(): ECDSASignature;
-    /** @deprecated use standalone method `curve.recoverPublicKey(sig.toBytes('recovered'), msg)` */
-    recoverPublicKey(msgHash: Hex): WeierstrassPoint<bigint>;
-    /** @deprecated use `.toBytes('compact')` */
-    toCompactRawBytes(): Uint8Array;
-    /** @deprecated use `.toBytes('compact')` */
-    toCompactHex(): string;
-    /** @deprecated use `.toBytes('der')` */
-    toDERRawBytes(): Uint8Array;
-    /** @deprecated use `.toBytes('der')` */
-    toDERHex(): string;
-}
-export type ECDSASigRecovered = ECDSASignature & {
-    readonly recovery: number;
-};
-/** Methods of ECDSA signature constructor. */
-export type ECDSASignatureCons = {
-    new (r: bigint, s: bigint, recovery?: number): ECDSASignature;
-    fromBytes(bytes: Uint8Array, format?: ECDSASigFormat): ECDSASignature;
-    fromHex(hex: string, format?: ECDSASigFormat): ECDSASignature;
-    /** @deprecated use `.fromBytes(bytes, 'compact')` */
-    fromCompact(hex: Hex): ECDSASignature;
-    /** @deprecated use `.fromBytes(bytes, 'der')` */
-    fromDER(hex: Hex): ECDSASignature;
-};
-/**
- * Implementation of the Shallue and van de Woestijne method for any weierstrass curve.
- * TODO: check if there is a way to merge this with uvRatio in Edwards; move to modular.
- * b = True and y = sqrt(u / v) if (u / v) is square in F, and
- * b = False and y = sqrt(Z * (u / v)) otherwise.
- * @param Fp
- * @param Z
- * @returns
- */
-export declare function SWUFpSqrtRatio<T>(Fp: IField<T>, Z: T): (u: T, v: T) => {
-    isValid: boolean;
-    value: T;
-};
-/**
- * Simplified Shallue-van de Woestijne-Ulas Method
- * https://www.rfc-editor.org/rfc/rfc9380#section-6.6.2
- */
-export declare function mapToCurveSimpleSWU<T>(Fp: IField<T>, opts: {
-    A: T;
-    B: T;
-    Z: T;
-}): (u: T) => {
-    x: T;
-    y: T;
-};
-/**
- * Sometimes users only need getPublicKey, getSharedSecret, and secret key handling.
- * This helper ensures no signature functionality is present. Less code, smaller bundle size.
- */
-export declare function ecdh(Point: WeierstrassPointCons<bigint>, ecdhOpts?: {
-    randomBytes?: (bytesLength?: number) => Uint8Array;
-}): ECDH;
-/**
- * Creates ECDSA signing interface for given elliptic curve `Point` and `hash` function.
- * We need `hash` for 2 features:
- * 1. Message prehash-ing. NOT used if `sign` / `verify` are called with `prehash: false`
- * 2. k generation in `sign`, using HMAC-drbg(hash)
- *
- * ECDSAOpts are only rarely needed.
- *
- * @example
- * ```js
- * const p256_Point = weierstrass(...);
- * const p256_sha256 = ecdsa(p256_Point, sha256);
- * const p256_sha224 = ecdsa(p256_Point, sha224);
- * const p256_sha224_r = ecdsa(p256_Point, sha224, { randomBytes: (length) => { ... } });
- * ```
- */
-export declare function ecdsa(Point: WeierstrassPointCons<bigint>, hash: CHash, ecdsaOpts?: ECDSAOpts): ECDSA;
-/** @deprecated */
-export type SignatureType = ECDSASignature;
-/** @deprecated */
-export type RecoveredSignatureType = ECDSASigRecovered;
-/** @deprecated */
-export type SignatureLike = {
-    r: bigint;
-    s: bigint;
-};
-/** @deprecated use `Uint8Array | boolean` */
-export type Entropy = Hex | boolean;
-export type BasicWCurve<T> = BasicCurve<T> & {
-    a: T;
-    b: T;
-    allowedPrivateKeyLengths?: readonly number[];
-    wrapPrivateKey?: boolean;
-    endo?: EndomorphismOpts;
-    isTorsionFree?: (c: WeierstrassPointCons<T>, point: WeierstrassPoint<T>) => boolean;
-    clearCofactor?: (c: WeierstrassPointCons<T>, point: WeierstrassPoint<T>) => WeierstrassPoint<T>;
-};
-/** @deprecated use ECDSASignOpts */
-export type SignOpts = ECDSASignOpts;
-/** @deprecated use ECDSASignOpts */
-export type VerOpts = ECDSAVerifyOpts;
-/** @deprecated use WeierstrassPoint */
-export type ProjPointType<T> = WeierstrassPoint<T>;
-/** @deprecated use WeierstrassPointCons */
-export type ProjConstructor<T> = WeierstrassPointCons<T>;
-export type CurvePointsType<T> = BasicWCurve<T> & {
-    fromBytes?: (bytes: Uint8Array) => AffinePoint<T>;
-    toBytes?: (c: WeierstrassPointCons<T>, point: WeierstrassPoint<T>, isCompressed: boolean) => Uint8Array;
-};
-export type CurvePointsTypeWithLength<T> = Readonly<CurvePointsType<T> & Partial<NLength>>;
-export type CurvePointsRes<T> = {
-    Point: WeierstrassPointCons<T>;
-    /** @deprecated use `Point.CURVE()` */
-    CURVE: CurvePointsType<T>;
-    /** @deprecated use `Point` */
-    ProjectivePoint: WeierstrassPointCons<T>;
-    /** @deprecated use `Point.Fn.fromBytes(privateKey)` */
-    normPrivateKeyToScalar: (key: PrivKey) => bigint;
-    /** @deprecated */
-    weierstrassEquation: (x: T) => T;
-    /** @deprecated use `Point.Fn.isValidNot0(num)` */
-    isWithinCurveOrder: (num: bigint) => boolean;
-};
-/** @deprecated use `Uint8Array` */
-export type PubKey = Hex | WeierstrassPoint<bigint>;
-export type CurveType = BasicWCurve<bigint> & {
-    hash: CHash;
-    hmac?: HmacFnSync;
-    randomBytes?: (bytesLength?: number) => Uint8Array;
-    lowS?: boolean;
-    bits2int?: (bytes: Uint8Array) => bigint;
-    bits2int_modN?: (bytes: Uint8Array) => bigint;
-};
-export type CurveFn = {
-    /** @deprecated use `Point.CURVE()` */
-    CURVE: CurvePointsType<bigint>;
-    keygen: ECDSA['keygen'];
-    getPublicKey: ECDSA['getPublicKey'];
-    getSharedSecret: ECDSA['getSharedSecret'];
-    sign: ECDSA['sign'];
-    verify: ECDSA['verify'];
-    Point: WeierstrassPointCons<bigint>;
-    /** @deprecated use `Point` */
-    ProjectivePoint: WeierstrassPointCons<bigint>;
-    Signature: ECDSASignatureCons;
-    utils: ECDSA['utils'];
-    lengths: ECDSA['lengths'];
-};
-/** @deprecated use `weierstrass` in newer releases */
-export declare function weierstrassPoints<T>(c: CurvePointsTypeWithLength<T>): CurvePointsRes<T>;
-export type WsPointComposed<T> = {
-    CURVE: WeierstrassOpts<T>;
-    curveOpts: WeierstrassExtraOpts<T>;
-};
-export type WsComposed = {
-    /** @deprecated use `Point.CURVE()` */
-    CURVE: WeierstrassOpts<bigint>;
-    hash: CHash;
-    curveOpts: WeierstrassExtraOpts<bigint>;
-    ecdsaOpts: ECDSAOpts;
-};
-export declare function _legacyHelperEquat<T>(Fp: IField<T>, a: T, b: T): (x: T) => T;
-export declare function weierstrass(c: CurveType): CurveFn;
-//# sourceMappingURL=weierstrass.d.ts.map

esm/abstract/weierstrass.d.ts.map

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esm/abstract/weierstrass.js

-/**
- * Short Weierstrass curve methods. The formula is: y² = x³ + ax + b.
- *
- * ### Design rationale for types
- *
- * * Interaction between classes from different curves should fail:
- *   `k256.Point.BASE.add(p256.Point.BASE)`
- * * For this purpose we want to use `instanceof` operator, which is fast and works during runtime
- * * Different calls of `curve()` would return different classes -
- *   `curve(params) !== curve(params)`: if somebody decided to monkey-patch their curve,
- *   it won't affect others
- *
- * TypeScript can't infer types for classes created inside a function. Classes is one instance
- * of nominative types in TypeScript and interfaces only check for shape, so it's hard to create
- * unique type for every function call.
- *
- * We can use generic types via some param, like curve opts, but that would:
- *     1. Enable interaction between `curve(params)` and `curve(params)` (curves of same params)
- *     which is hard to debug.
- *     2. Params can be generic and we can't enforce them to be constant value:
- *     if somebody creates curve from non-constant params,
- *     it would be allowed to interact with other curves with non-constant params
- *
- * @todo https://www.typescriptlang.org/docs/handbook/release-notes/typescript-2-7.html#unique-symbol
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { hmac as nobleHmac } from '@noble/hashes/hmac.js';
-import { ahash } from '@noble/hashes/utils';
-import { _validateObject, _abool2 as abool, _abytes2 as abytes, aInRange, bitLen, bitMask, bytesToHex, bytesToNumberBE, concatBytes, createHmacDrbg, ensureBytes, hexToBytes, inRange, isBytes, memoized, numberToHexUnpadded, randomBytes as randomBytesWeb, } from "../utils.js";
-import { _createCurveFields, mulEndoUnsafe, negateCt, normalizeZ, pippenger, wNAF, } from "./curve.js";
-import { Field, FpInvertBatch, getMinHashLength, mapHashToField, nLength, validateField, } from "./modular.js";
-// We construct basis in such way that den is always positive and equals n, but num sign depends on basis (not on secret value)
-const divNearest = (num, den) => (num + (num >= 0 ? den : -den) / _2n) / den;
-/**
- * Splits scalar for GLV endomorphism.
- */
-export function _splitEndoScalar(k, basis, n) {
-    // Split scalar into two such that part is ~half bits: `abs(part) < sqrt(N)`
-    // Since part can be negative, we need to do this on point.
-    // TODO: verifyScalar function which consumes lambda
-    const [[a1, b1], [a2, b2]] = basis;
-    const c1 = divNearest(b2 * k, n);
-    const c2 = divNearest(-b1 * k, n);
-    // |k1|/|k2| is < sqrt(N), but can be negative.
-    // If we do `k1 mod N`, we'll get big scalar (`> sqrt(N)`): so, we do cheaper negation instead.
-    let k1 = k - c1 * a1 - c2 * a2;
-    let k2 = -c1 * b1 - c2 * b2;
-    const k1neg = k1 < _0n;
-    const k2neg = k2 < _0n;
-    if (k1neg)
-        k1 = -k1;
-    if (k2neg)
-        k2 = -k2;
-    // Double check that resulting scalar less than half bits of N: otherwise wNAF will fail.
-    // This should only happen on wrong basises. Also, math inside is too complex and I don't trust it.
-    const MAX_NUM = bitMask(Math.ceil(bitLen(n) / 2)) + _1n; // Half bits of N
-    if (k1 < _0n || k1 >= MAX_NUM || k2 < _0n || k2 >= MAX_NUM) {
-        throw new Error('splitScalar (endomorphism): failed, k=' + k);
-    }
-    return { k1neg, k1, k2neg, k2 };
-}
-function validateSigFormat(format) {
-    if (!['compact', 'recovered', 'der'].includes(format))
-        throw new Error('Signature format must be "compact", "recovered", or "der"');
-    return format;
-}
-function validateSigOpts(opts, def) {
-    const optsn = {};
-    for (let optName of Object.keys(def)) {
-        // @ts-ignore
-        optsn[optName] = opts[optName] === undefined ? def[optName] : opts[optName];
-    }
-    abool(optsn.lowS, 'lowS');
-    abool(optsn.prehash, 'prehash');
-    if (optsn.format !== undefined)
-        validateSigFormat(optsn.format);
-    return optsn;
-}
-export class DERErr extends Error {
-    constructor(m = '') {
-        super(m);
-    }
-}
-/**
- * ASN.1 DER encoding utilities. ASN is very complex & fragile. Format:
- *
- *     [0x30 (SEQUENCE), bytelength, 0x02 (INTEGER), intLength, R, 0x02 (INTEGER), intLength, S]
- *
- * Docs: https://letsencrypt.org/docs/a-warm-welcome-to-asn1-and-der/, https://luca.ntop.org/Teaching/Appunti/asn1.html
- */
-export const DER = {
-    // asn.1 DER encoding utils
-    Err: DERErr,
-    // Basic building block is TLV (Tag-Length-Value)
-    _tlv: {
-        encode: (tag, data) => {
-            const { Err: E } = DER;
-            if (tag < 0 || tag > 256)
-                throw new E('tlv.encode: wrong tag');
-            if (data.length & 1)
-                throw new E('tlv.encode: unpadded data');
-            const dataLen = data.length / 2;
-            const len = numberToHexUnpadded(dataLen);
-            if ((len.length / 2) & 128)
-                throw new E('tlv.encode: long form length too big');
-            // length of length with long form flag
-            const lenLen = dataLen > 127 ? numberToHexUnpadded((len.length / 2) | 128) : '';
-            const t = numberToHexUnpadded(tag);
-            return t + lenLen + len + data;
-        },
-        // v - value, l - left bytes (unparsed)
-        decode(tag, data) {
-            const { Err: E } = DER;
-            let pos = 0;
-            if (tag < 0 || tag > 256)
-                throw new E('tlv.encode: wrong tag');
-            if (data.length < 2 || data[pos++] !== tag)
-                throw new E('tlv.decode: wrong tlv');
-            const first = data[pos++];
-            const isLong = !!(first & 128); // First bit of first length byte is flag for short/long form
-            let length = 0;
-            if (!isLong)
-                length = first;
-            else {
-                // Long form: [longFlag(1bit), lengthLength(7bit), length (BE)]
-                const lenLen = first & 127;
-                if (!lenLen)
-                    throw new E('tlv.decode(long): indefinite length not supported');
-                if (lenLen > 4)
-                    throw new E('tlv.decode(long): byte length is too big'); // this will overflow u32 in js
-                const lengthBytes = data.subarray(pos, pos + lenLen);
-                if (lengthBytes.length !== lenLen)
-                    throw new E('tlv.decode: length bytes not complete');
-                if (lengthBytes[0] === 0)
-                    throw new E('tlv.decode(long): zero leftmost byte');
-                for (const b of lengthBytes)
-                    length = (length << 8) | b;
-                pos += lenLen;
-                if (length < 128)
-                    throw new E('tlv.decode(long): not minimal encoding');
-            }
-            const v = data.subarray(pos, pos + length);
-            if (v.length !== length)
-                throw new E('tlv.decode: wrong value length');
-            return { v, l: data.subarray(pos + length) };
-        },
-    },
-    // https://crypto.stackexchange.com/a/57734 Leftmost bit of first byte is 'negative' flag,
-    // since we always use positive integers here. It must always be empty:
-    // - add zero byte if exists
-    // - if next byte doesn't have a flag, leading zero is not allowed (minimal encoding)
-    _int: {
-        encode(num) {
-            const { Err: E } = DER;
-            if (num < _0n)
-                throw new E('integer: negative integers are not allowed');
-            let hex = numberToHexUnpadded(num);
-            // Pad with zero byte if negative flag is present
-            if (Number.parseInt(hex[0], 16) & 0b1000)
-                hex = '00' + hex;
-            if (hex.length & 1)
-                throw new E('unexpected DER parsing assertion: unpadded hex');
-            return hex;
-        },
-        decode(data) {
-            const { Err: E } = DER;
-            if (data[0] & 128)
-                throw new E('invalid signature integer: negative');
-            if (data[0] === 0x00 && !(data[1] & 128))
-                throw new E('invalid signature integer: unnecessary leading zero');
-            return bytesToNumberBE(data);
-        },
-    },
-    toSig(hex) {
-        // parse DER signature
-        const { Err: E, _int: int, _tlv: tlv } = DER;
-        const data = ensureBytes('signature', hex);
-        const { v: seqBytes, l: seqLeftBytes } = tlv.decode(0x30, data);
-        if (seqLeftBytes.length)
-            throw new E('invalid signature: left bytes after parsing');
-        const { v: rBytes, l: rLeftBytes } = tlv.decode(0x02, seqBytes);
-        const { v: sBytes, l: sLeftBytes } = tlv.decode(0x02, rLeftBytes);
-        if (sLeftBytes.length)
-            throw new E('invalid signature: left bytes after parsing');
-        return { r: int.decode(rBytes), s: int.decode(sBytes) };
-    },
-    hexFromSig(sig) {
-        const { _tlv: tlv, _int: int } = DER;
-        const rs = tlv.encode(0x02, int.encode(sig.r));
-        const ss = tlv.encode(0x02, int.encode(sig.s));
-        const seq = rs + ss;
-        return tlv.encode(0x30, seq);
-    },
-};
-// Be friendly to bad ECMAScript parsers by not using bigint literals
-// prettier-ignore
-const _0n = BigInt(0), _1n = BigInt(1), _2n = BigInt(2), _3n = BigInt(3), _4n = BigInt(4);
-export function _normFnElement(Fn, key) {
-    const { BYTES: expected } = Fn;
-    let num;
-    if (typeof key === 'bigint') {
-        num = key;
-    }
-    else {
-        let bytes = ensureBytes('private key', key);
-        try {
-            num = Fn.fromBytes(bytes);
-        }
-        catch (error) {
-            throw new Error(`invalid private key: expected ui8a of size ${expected}, got ${typeof key}`);
-        }
-    }
-    if (!Fn.isValidNot0(num))
-        throw new Error('invalid private key: out of range [1..N-1]');
-    return num;
-}
-/**
- * Creates weierstrass Point constructor, based on specified curve options.
- *
- * @example
-```js
-const opts = {
-  p: BigInt('0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff'),
-  n: BigInt('0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551'),
-  h: BigInt(1),
-  a: BigInt('0xffffffff00000001000000000000000000000000fffffffffffffffffffffffc'),
-  b: BigInt('0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b'),
-  Gx: BigInt('0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296'),
-  Gy: BigInt('0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5'),
-};
-const p256_Point = weierstrass(opts);
-```
- */
-export function weierstrassN(params, extraOpts = {}) {
-    const validated = _createCurveFields('weierstrass', params, extraOpts);
-    const { Fp, Fn } = validated;
-    let CURVE = validated.CURVE;
-    const { h: cofactor, n: CURVE_ORDER } = CURVE;
-    _validateObject(extraOpts, {}, {
-        allowInfinityPoint: 'boolean',
-        clearCofactor: 'function',
-        isTorsionFree: 'function',
-        fromBytes: 'function',
-        toBytes: 'function',
-        endo: 'object',
-        wrapPrivateKey: 'boolean',
-    });
-    const { endo } = extraOpts;
-    if (endo) {
-        // validateObject(endo, { beta: 'bigint', splitScalar: 'function' });
-        if (!Fp.is0(CURVE.a) || typeof endo.beta !== 'bigint' || !Array.isArray(endo.basises)) {
-            throw new Error('invalid endo: expected "beta": bigint and "basises": array');
-        }
-    }
-    const lengths = getWLengths(Fp, Fn);
-    function assertCompressionIsSupported() {
-        if (!Fp.isOdd)
-            throw new Error('compression is not supported: Field does not have .isOdd()');
-    }
-    // Implements IEEE P1363 point encoding
-    function pointToBytes(_c, point, isCompressed) {
-        const { x, y } = point.toAffine();
-        const bx = Fp.toBytes(x);
-        abool(isCompressed, 'isCompressed');
-        if (isCompressed) {
-            assertCompressionIsSupported();
-            const hasEvenY = !Fp.isOdd(y);
-            return concatBytes(pprefix(hasEvenY), bx);
-        }
-        else {
-            return concatBytes(Uint8Array.of(0x04), bx, Fp.toBytes(y));
-        }
-    }
-    function pointFromBytes(bytes) {
-        abytes(bytes, undefined, 'Point');
-        const { publicKey: comp, publicKeyUncompressed: uncomp } = lengths; // e.g. for 32-byte: 33, 65
-        const length = bytes.length;
-        const head = bytes[0];
-        const tail = bytes.subarray(1);
-        // No actual validation is done here: use .assertValidity()
-        if (length === comp && (head === 0x02 || head === 0x03)) {
-            const x = Fp.fromBytes(tail);
-            if (!Fp.isValid(x))
-                throw new Error('bad point: is not on curve, wrong x');
-            const y2 = weierstrassEquation(x); // y² = x³ + ax + b
-            let y;
-            try {
-                y = Fp.sqrt(y2); // y = y² ^ (p+1)/4
-            }
-            catch (sqrtError) {
-                const err = sqrtError instanceof Error ? ': ' + sqrtError.message : '';
-                throw new Error('bad point: is not on curve, sqrt error' + err);
-            }
-            assertCompressionIsSupported();
-            const isYOdd = Fp.isOdd(y); // (y & _1n) === _1n;
-            const isHeadOdd = (head & 1) === 1; // ECDSA-specific
-            if (isHeadOdd !== isYOdd)
-                y = Fp.neg(y);
-            return { x, y };
-        }
-        else if (length === uncomp && head === 0x04) {
-            // TODO: more checks
-            const L = Fp.BYTES;
-            const x = Fp.fromBytes(tail.subarray(0, L));
-            const y = Fp.fromBytes(tail.subarray(L, L * 2));
-            if (!isValidXY(x, y))
-                throw new Error('bad point: is not on curve');
-            return { x, y };
-        }
-        else {
-            throw new Error(`bad point: got length ${length}, expected compressed=${comp} or uncompressed=${uncomp}`);
-        }
-    }
-    const encodePoint = extraOpts.toBytes || pointToBytes;
-    const decodePoint = extraOpts.fromBytes || pointFromBytes;
-    function weierstrassEquation(x) {
-        const x2 = Fp.sqr(x); // x * x
-        const x3 = Fp.mul(x2, x); // x² * x
-        return Fp.add(Fp.add(x3, Fp.mul(x, CURVE.a)), CURVE.b); // x³ + a * x + b
-    }
-    // TODO: move top-level
-    /** Checks whether equation holds for given x, y: y² == x³ + ax + b */
-    function isValidXY(x, y) {
-        const left = Fp.sqr(y); // y²
-        const right = weierstrassEquation(x); // x³ + ax + b
-        return Fp.eql(left, right);
-    }
-    // Validate whether the passed curve params are valid.
-    // Test 1: equation y² = x³ + ax + b should work for generator point.
-    if (!isValidXY(CURVE.Gx, CURVE.Gy))
-        throw new Error('bad curve params: generator point');
-    // Test 2: discriminant Δ part should be non-zero: 4a³ + 27b² != 0.
-    // Guarantees curve is genus-1, smooth (non-singular).
-    const _4a3 = Fp.mul(Fp.pow(CURVE.a, _3n), _4n);
-    const _27b2 = Fp.mul(Fp.sqr(CURVE.b), BigInt(27));
-    if (Fp.is0(Fp.add(_4a3, _27b2)))
-        throw new Error('bad curve params: a or b');
-    /** Asserts coordinate is valid: 0 <= n < Fp.ORDER. */
-    function acoord(title, n, banZero = false) {
-        if (!Fp.isValid(n) || (banZero && Fp.is0(n)))
-            throw new Error(`bad point coordinate ${title}`);
-        return n;
-    }
-    function aprjpoint(other) {
-        if (!(other instanceof Point))
-            throw new Error('ProjectivePoint expected');
-    }
-    function splitEndoScalarN(k) {
-        if (!endo || !endo.basises)
-            throw new Error('no endo');
-        return _splitEndoScalar(k, endo.basises, Fn.ORDER);
-    }
-    // Memoized toAffine / validity check. They are heavy. Points are immutable.
-    // Converts Projective point to affine (x, y) coordinates.
-    // Can accept precomputed Z^-1 - for example, from invertBatch.
-    // (X, Y, Z) ∋ (x=X/Z, y=Y/Z)
-    const toAffineMemo = memoized((p, iz) => {
-        const { X, Y, Z } = p;
-        // Fast-path for normalized points
-        if (Fp.eql(Z, Fp.ONE))
-            return { x: X, y: Y };
-        const is0 = p.is0();
-        // If invZ was 0, we return zero point. However we still want to execute
-        // all operations, so we replace invZ with a random number, 1.
-        if (iz == null)
-            iz = is0 ? Fp.ONE : Fp.inv(Z);
-        const x = Fp.mul(X, iz);
-        const y = Fp.mul(Y, iz);
-        const zz = Fp.mul(Z, iz);
-        if (is0)
-            return { x: Fp.ZERO, y: Fp.ZERO };
-        if (!Fp.eql(zz, Fp.ONE))
-            throw new Error('invZ was invalid');
-        return { x, y };
-    });
-    // NOTE: on exception this will crash 'cached' and no value will be set.
-    // Otherwise true will be return
-    const assertValidMemo = memoized((p) => {
-        if (p.is0()) {
-            // (0, 1, 0) aka ZERO is invalid in most contexts.
-            // In BLS, ZERO can be serialized, so we allow it.
-            // (0, 0, 0) is invalid representation of ZERO.
-            if (extraOpts.allowInfinityPoint && !Fp.is0(p.Y))
-                return;
-            throw new Error('bad point: ZERO');
-        }
-        // Some 3rd-party test vectors require different wording between here & `fromCompressedHex`
-        const { x, y } = p.toAffine();
-        if (!Fp.isValid(x) || !Fp.isValid(y))
-            throw new Error('bad point: x or y not field elements');
-        if (!isValidXY(x, y))
-            throw new Error('bad point: equation left != right');
-        if (!p.isTorsionFree())
-            throw new Error('bad point: not in prime-order subgroup');
-        return true;
-    });
-    function finishEndo(endoBeta, k1p, k2p, k1neg, k2neg) {
-        k2p = new Point(Fp.mul(k2p.X, endoBeta), k2p.Y, k2p.Z);
-        k1p = negateCt(k1neg, k1p);
-        k2p = negateCt(k2neg, k2p);
-        return k1p.add(k2p);
-    }
-    /**
-     * Projective Point works in 3d / projective (homogeneous) coordinates:(X, Y, Z) ∋ (x=X/Z, y=Y/Z).
-     * Default Point works in 2d / affine coordinates: (x, y).
-     * We're doing calculations in projective, because its operations don't require costly inversion.
-     */
-    class Point {
-        /** Does NOT validate if the point is valid. Use `.assertValidity()`. */
-        constructor(X, Y, Z) {
-            this.X = acoord('x', X);
-            this.Y = acoord('y', Y, true);
-            this.Z = acoord('z', Z);
-            Object.freeze(this);
-        }
-        static CURVE() {
-            return CURVE;
-        }
-        /** Does NOT validate if the point is valid. Use `.assertValidity()`. */
-        static fromAffine(p) {
-            const { x, y } = p || {};
-            if (!p || !Fp.isValid(x) || !Fp.isValid(y))
-                throw new Error('invalid affine point');
-            if (p instanceof Point)
-                throw new Error('projective point not allowed');
-            // (0, 0) would've produced (0, 0, 1) - instead, we need (0, 1, 0)
-            if (Fp.is0(x) && Fp.is0(y))
-                return Point.ZERO;
-            return new Point(x, y, Fp.ONE);
-        }
-        static fromBytes(bytes) {
-            const P = Point.fromAffine(decodePoint(abytes(bytes, undefined, 'point')));
-            P.assertValidity();
-            return P;
-        }
-        static fromHex(hex) {
-            return Point.fromBytes(ensureBytes('pointHex', hex));
-        }
-        get x() {
-            return this.toAffine().x;
-        }
-        get y() {
-            return this.toAffine().y;
-        }
-        /**
-         *
-         * @param windowSize
-         * @param isLazy true will defer table computation until the first multiplication
-         * @returns
-         */
-        precompute(windowSize = 8, isLazy = true) {
-            wnaf.createCache(this, windowSize);
-            if (!isLazy)
-                this.multiply(_3n); // random number
-            return this;
-        }
-        // TODO: return `this`
-        /** A point on curve is valid if it conforms to equation. */
-        assertValidity() {
-            assertValidMemo(this);
-        }
-        hasEvenY() {
-            const { y } = this.toAffine();
-            if (!Fp.isOdd)
-                throw new Error("Field doesn't support isOdd");
-            return !Fp.isOdd(y);
-        }
-        /** Compare one point to another. */
-        equals(other) {
-            aprjpoint(other);
-            const { X: X1, Y: Y1, Z: Z1 } = this;
-            const { X: X2, Y: Y2, Z: Z2 } = other;
-            const U1 = Fp.eql(Fp.mul(X1, Z2), Fp.mul(X2, Z1));
-            const U2 = Fp.eql(Fp.mul(Y1, Z2), Fp.mul(Y2, Z1));
-            return U1 && U2;
-        }
-        /** Flips point to one corresponding to (x, -y) in Affine coordinates. */
-        negate() {
-            return new Point(this.X, Fp.neg(this.Y), this.Z);
-        }
-        // Renes-Costello-Batina exception-free doubling formula.
-        // There is 30% faster Jacobian formula, but it is not complete.
-        // https://eprint.iacr.org/2015/1060, algorithm 3
-        // Cost: 8M + 3S + 3*a + 2*b3 + 15add.
-        double() {
-            const { a, b } = CURVE;
-            const b3 = Fp.mul(b, _3n);
-            const { X: X1, Y: Y1, Z: Z1 } = this;
-            let X3 = Fp.ZERO, Y3 = Fp.ZERO, Z3 = Fp.ZERO; // prettier-ignore
-            let t0 = Fp.mul(X1, X1); // step 1
-            let t1 = Fp.mul(Y1, Y1);
-            let t2 = Fp.mul(Z1, Z1);
-            let t3 = Fp.mul(X1, Y1);
-            t3 = Fp.add(t3, t3); // step 5
-            Z3 = Fp.mul(X1, Z1);
-            Z3 = Fp.add(Z3, Z3);
-            X3 = Fp.mul(a, Z3);
-            Y3 = Fp.mul(b3, t2);
-            Y3 = Fp.add(X3, Y3); // step 10
-            X3 = Fp.sub(t1, Y3);
-            Y3 = Fp.add(t1, Y3);
-            Y3 = Fp.mul(X3, Y3);
-            X3 = Fp.mul(t3, X3);
-            Z3 = Fp.mul(b3, Z3); // step 15
-            t2 = Fp.mul(a, t2);
-            t3 = Fp.sub(t0, t2);
-            t3 = Fp.mul(a, t3);
-            t3 = Fp.add(t3, Z3);
-            Z3 = Fp.add(t0, t0); // step 20
-            t0 = Fp.add(Z3, t0);
-            t0 = Fp.add(t0, t2);
-            t0 = Fp.mul(t0, t3);
-            Y3 = Fp.add(Y3, t0);
-            t2 = Fp.mul(Y1, Z1); // step 25
-            t2 = Fp.add(t2, t2);
-            t0 = Fp.mul(t2, t3);
-            X3 = Fp.sub(X3, t0);
-            Z3 = Fp.mul(t2, t1);
-            Z3 = Fp.add(Z3, Z3); // step 30
-            Z3 = Fp.add(Z3, Z3);
-            return new Point(X3, Y3, Z3);
-        }
-        // Renes-Costello-Batina exception-free addition formula.
-        // There is 30% faster Jacobian formula, but it is not complete.
-        // https://eprint.iacr.org/2015/1060, algorithm 1
-        // Cost: 12M + 0S + 3*a + 3*b3 + 23add.
-        add(other) {
-            aprjpoint(other);
-            const { X: X1, Y: Y1, Z: Z1 } = this;
-            const { X: X2, Y: Y2, Z: Z2 } = other;
-            let X3 = Fp.ZERO, Y3 = Fp.ZERO, Z3 = Fp.ZERO; // prettier-ignore
-            const a = CURVE.a;
-            const b3 = Fp.mul(CURVE.b, _3n);
-            let t0 = Fp.mul(X1, X2); // step 1
-            let t1 = Fp.mul(Y1, Y2);
-            let t2 = Fp.mul(Z1, Z2);
-            let t3 = Fp.add(X1, Y1);
-            let t4 = Fp.add(X2, Y2); // step 5
-            t3 = Fp.mul(t3, t4);
-            t4 = Fp.add(t0, t1);
-            t3 = Fp.sub(t3, t4);
-            t4 = Fp.add(X1, Z1);
-            let t5 = Fp.add(X2, Z2); // step 10
-            t4 = Fp.mul(t4, t5);
-            t5 = Fp.add(t0, t2);
-            t4 = Fp.sub(t4, t5);
-            t5 = Fp.add(Y1, Z1);
-            X3 = Fp.add(Y2, Z2); // step 15
-            t5 = Fp.mul(t5, X3);
-            X3 = Fp.add(t1, t2);
-            t5 = Fp.sub(t5, X3);
-            Z3 = Fp.mul(a, t4);
-            X3 = Fp.mul(b3, t2); // step 20
-            Z3 = Fp.add(X3, Z3);
-            X3 = Fp.sub(t1, Z3);
-            Z3 = Fp.add(t1, Z3);
-            Y3 = Fp.mul(X3, Z3);
-            t1 = Fp.add(t0, t0); // step 25
-            t1 = Fp.add(t1, t0);
-            t2 = Fp.mul(a, t2);
-            t4 = Fp.mul(b3, t4);
-            t1 = Fp.add(t1, t2);
-            t2 = Fp.sub(t0, t2); // step 30
-            t2 = Fp.mul(a, t2);
-            t4 = Fp.add(t4, t2);
-            t0 = Fp.mul(t1, t4);
-            Y3 = Fp.add(Y3, t0);
-            t0 = Fp.mul(t5, t4); // step 35
-            X3 = Fp.mul(t3, X3);
-            X3 = Fp.sub(X3, t0);
-            t0 = Fp.mul(t3, t1);
-            Z3 = Fp.mul(t5, Z3);
-            Z3 = Fp.add(Z3, t0); // step 40
-            return new Point(X3, Y3, Z3);
-        }
-        subtract(other) {
-            return this.add(other.negate());
-        }
-        is0() {
-            return this.equals(Point.ZERO);
-        }
-        /**
-         * Constant time multiplication.
-         * Uses wNAF method. Windowed method may be 10% faster,
-         * but takes 2x longer to generate and consumes 2x memory.
-         * Uses precomputes when available.
-         * Uses endomorphism for Koblitz curves.
-         * @param scalar by which the point would be multiplied
-         * @returns New point
-         */
-        multiply(scalar) {
-            const { endo } = extraOpts;
-            if (!Fn.isValidNot0(scalar))
-                throw new Error('invalid scalar: out of range'); // 0 is invalid
-            let point, fake; // Fake point is used to const-time mult
-            const mul = (n) => wnaf.cached(this, n, (p) => normalizeZ(Point, p));
-            /** See docs for {@link EndomorphismOpts} */
-            if (endo) {
-                const { k1neg, k1, k2neg, k2 } = splitEndoScalarN(scalar);
-                const { p: k1p, f: k1f } = mul(k1);
-                const { p: k2p, f: k2f } = mul(k2);
-                fake = k1f.add(k2f);
-                point = finishEndo(endo.beta, k1p, k2p, k1neg, k2neg);
-            }
-            else {
-                const { p, f } = mul(scalar);
-                point = p;
-                fake = f;
-            }
-            // Normalize `z` for both points, but return only real one
-            return normalizeZ(Point, [point, fake])[0];
-        }
-        /**
-         * Non-constant-time multiplication. Uses double-and-add algorithm.
-         * It's faster, but should only be used when you don't care about
-         * an exposed secret key e.g. sig verification, which works over *public* keys.
-         */
-        multiplyUnsafe(sc) {
-            const { endo } = extraOpts;
-            const p = this;
-            if (!Fn.isValid(sc))
-                throw new Error('invalid scalar: out of range'); // 0 is valid
-            if (sc === _0n || p.is0())
-                return Point.ZERO;
-            if (sc === _1n)
-                return p; // fast-path
-            if (wnaf.hasCache(this))
-                return this.multiply(sc);
-            if (endo) {
-                const { k1neg, k1, k2neg, k2 } = splitEndoScalarN(sc);
-                const { p1, p2 } = mulEndoUnsafe(Point, p, k1, k2); // 30% faster vs wnaf.unsafe
-                return finishEndo(endo.beta, p1, p2, k1neg, k2neg);
-            }
-            else {
-                return wnaf.unsafe(p, sc);
-            }
-        }
-        multiplyAndAddUnsafe(Q, a, b) {
-            const sum = this.multiplyUnsafe(a).add(Q.multiplyUnsafe(b));
-            return sum.is0() ? undefined : sum;
-        }
-        /**
-         * Converts Projective point to affine (x, y) coordinates.
-         * @param invertedZ Z^-1 (inverted zero) - optional, precomputation is useful for invertBatch
-         */
-        toAffine(invertedZ) {
-            return toAffineMemo(this, invertedZ);
-        }
-        /**
-         * Checks whether Point is free of torsion elements (is in prime subgroup).
-         * Always torsion-free for cofactor=1 curves.
-         */
-        isTorsionFree() {
-            const { isTorsionFree } = extraOpts;
-            if (cofactor === _1n)
-                return true;
-            if (isTorsionFree)
-                return isTorsionFree(Point, this);
-            return wnaf.unsafe(this, CURVE_ORDER).is0();
-        }
-        clearCofactor() {
-            const { clearCofactor } = extraOpts;
-            if (cofactor === _1n)
-                return this; // Fast-path
-            if (clearCofactor)
-                return clearCofactor(Point, this);
-            return this.multiplyUnsafe(cofactor);
-        }
-        isSmallOrder() {
-            // can we use this.clearCofactor()?
-            return this.multiplyUnsafe(cofactor).is0();
-        }
-        toBytes(isCompressed = true) {
-            abool(isCompressed, 'isCompressed');
-            this.assertValidity();
-            return encodePoint(Point, this, isCompressed);
-        }
-        toHex(isCompressed = true) {
-            return bytesToHex(this.toBytes(isCompressed));
-        }
-        toString() {
-            return `<Point ${this.is0() ? 'ZERO' : this.toHex()}>`;
-        }
-        // TODO: remove
-        get px() {
-            return this.X;
-        }
-        get py() {
-            return this.X;
-        }
-        get pz() {
-            return this.Z;
-        }
-        toRawBytes(isCompressed = true) {
-            return this.toBytes(isCompressed);
-        }
-        _setWindowSize(windowSize) {
-            this.precompute(windowSize);
-        }
-        static normalizeZ(points) {
-            return normalizeZ(Point, points);
-        }
-        static msm(points, scalars) {
-            return pippenger(Point, Fn, points, scalars);
-        }
-        static fromPrivateKey(privateKey) {
-            return Point.BASE.multiply(_normFnElement(Fn, privateKey));
-        }
-    }
-    // base / generator point
-    Point.BASE = new Point(CURVE.Gx, CURVE.Gy, Fp.ONE);
-    // zero / infinity / identity point
-    Point.ZERO = new Point(Fp.ZERO, Fp.ONE, Fp.ZERO); // 0, 1, 0
-    // math field
-    Point.Fp = Fp;
-    // scalar field
-    Point.Fn = Fn;
-    const bits = Fn.BITS;
-    const wnaf = new wNAF(Point, extraOpts.endo ? Math.ceil(bits / 2) : bits);
-    Point.BASE.precompute(8); // Enable precomputes. Slows down first publicKey computation by 20ms.
-    return Point;
-}
-// Points start with byte 0x02 when y is even; otherwise 0x03
-function pprefix(hasEvenY) {
-    return Uint8Array.of(hasEvenY ? 0x02 : 0x03);
-}
-/**
- * Implementation of the Shallue and van de Woestijne method for any weierstrass curve.
- * TODO: check if there is a way to merge this with uvRatio in Edwards; move to modular.
- * b = True and y = sqrt(u / v) if (u / v) is square in F, and
- * b = False and y = sqrt(Z * (u / v)) otherwise.
- * @param Fp
- * @param Z
- * @returns
- */
-export function SWUFpSqrtRatio(Fp, Z) {
-    // Generic implementation
-    const q = Fp.ORDER;
-    let l = _0n;
-    for (let o = q - _1n; o % _2n === _0n; o /= _2n)
-        l += _1n;
-    const c1 = l; // 1. c1, the largest integer such that 2^c1 divides q - 1.
-    // We need 2n ** c1 and 2n ** (c1-1). We can't use **; but we can use <<.
-    // 2n ** c1 == 2n << (c1-1)
-    const _2n_pow_c1_1 = _2n << (c1 - _1n - _1n);
-    const _2n_pow_c1 = _2n_pow_c1_1 * _2n;
-    const c2 = (q - _1n) / _2n_pow_c1; // 2. c2 = (q - 1) / (2^c1)  # Integer arithmetic
-    const c3 = (c2 - _1n) / _2n; // 3. c3 = (c2 - 1) / 2            # Integer arithmetic
-    const c4 = _2n_pow_c1 - _1n; // 4. c4 = 2^c1 - 1                # Integer arithmetic
-    const c5 = _2n_pow_c1_1; // 5. c5 = 2^(c1 - 1)                  # Integer arithmetic
-    const c6 = Fp.pow(Z, c2); // 6. c6 = Z^c2
-    const c7 = Fp.pow(Z, (c2 + _1n) / _2n); // 7. c7 = Z^((c2 + 1) / 2)
-    let sqrtRatio = (u, v) => {
-        let tv1 = c6; // 1. tv1 = c6
-        let tv2 = Fp.pow(v, c4); // 2. tv2 = v^c4
-        let tv3 = Fp.sqr(tv2); // 3. tv3 = tv2^2
-        tv3 = Fp.mul(tv3, v); // 4. tv3 = tv3 * v
-        let tv5 = Fp.mul(u, tv3); // 5. tv5 = u * tv3
-        tv5 = Fp.pow(tv5, c3); // 6. tv5 = tv5^c3
-        tv5 = Fp.mul(tv5, tv2); // 7. tv5 = tv5 * tv2
-        tv2 = Fp.mul(tv5, v); // 8. tv2 = tv5 * v
-        tv3 = Fp.mul(tv5, u); // 9. tv3 = tv5 * u
-        let tv4 = Fp.mul(tv3, tv2); // 10. tv4 = tv3 * tv2
-        tv5 = Fp.pow(tv4, c5); // 11. tv5 = tv4^c5
-        let isQR = Fp.eql(tv5, Fp.ONE); // 12. isQR = tv5 == 1
-        tv2 = Fp.mul(tv3, c7); // 13. tv2 = tv3 * c7
-        tv5 = Fp.mul(tv4, tv1); // 14. tv5 = tv4 * tv1
-        tv3 = Fp.cmov(tv2, tv3, isQR); // 15. tv3 = CMOV(tv2, tv3, isQR)
-        tv4 = Fp.cmov(tv5, tv4, isQR); // 16. tv4 = CMOV(tv5, tv4, isQR)
-        // 17. for i in (c1, c1 - 1, ..., 2):
-        for (let i = c1; i > _1n; i--) {
-            let tv5 = i - _2n; // 18.    tv5 = i - 2
-            tv5 = _2n << (tv5 - _1n); // 19.    tv5 = 2^tv5
-            let tvv5 = Fp.pow(tv4, tv5); // 20.    tv5 = tv4^tv5
-            const e1 = Fp.eql(tvv5, Fp.ONE); // 21.    e1 = tv5 == 1
-            tv2 = Fp.mul(tv3, tv1); // 22.    tv2 = tv3 * tv1
-            tv1 = Fp.mul(tv1, tv1); // 23.    tv1 = tv1 * tv1
-            tvv5 = Fp.mul(tv4, tv1); // 24.    tv5 = tv4 * tv1
-            tv3 = Fp.cmov(tv2, tv3, e1); // 25.    tv3 = CMOV(tv2, tv3, e1)
-            tv4 = Fp.cmov(tvv5, tv4, e1); // 26.    tv4 = CMOV(tv5, tv4, e1)
-        }
-        return { isValid: isQR, value: tv3 };
-    };
-    if (Fp.ORDER % _4n === _3n) {
-        // sqrt_ratio_3mod4(u, v)
-        const c1 = (Fp.ORDER - _3n) / _4n; // 1. c1 = (q - 3) / 4     # Integer arithmetic
-        const c2 = Fp.sqrt(Fp.neg(Z)); // 2. c2 = sqrt(-Z)
-        sqrtRatio = (u, v) => {
-            let tv1 = Fp.sqr(v); // 1. tv1 = v^2
-            const tv2 = Fp.mul(u, v); // 2. tv2 = u * v
-            tv1 = Fp.mul(tv1, tv2); // 3. tv1 = tv1 * tv2
-            let y1 = Fp.pow(tv1, c1); // 4. y1 = tv1^c1
-            y1 = Fp.mul(y1, tv2); // 5. y1 = y1 * tv2
-            const y2 = Fp.mul(y1, c2); // 6. y2 = y1 * c2
-            const tv3 = Fp.mul(Fp.sqr(y1), v); // 7. tv3 = y1^2; 8. tv3 = tv3 * v
-            const isQR = Fp.eql(tv3, u); // 9. isQR = tv3 == u
-            let y = Fp.cmov(y2, y1, isQR); // 10. y = CMOV(y2, y1, isQR)
-            return { isValid: isQR, value: y }; // 11. return (isQR, y) isQR ? y : y*c2
-        };
-    }
-    // No curves uses that
-    // if (Fp.ORDER % _8n === _5n) // sqrt_ratio_5mod8
-    return sqrtRatio;
-}
-/**
- * Simplified Shallue-van de Woestijne-Ulas Method
- * https://www.rfc-editor.org/rfc/rfc9380#section-6.6.2
- */
-export function mapToCurveSimpleSWU(Fp, opts) {
-    validateField(Fp);
-    const { A, B, Z } = opts;
-    if (!Fp.isValid(A) || !Fp.isValid(B) || !Fp.isValid(Z))
-        throw new Error('mapToCurveSimpleSWU: invalid opts');
-    const sqrtRatio = SWUFpSqrtRatio(Fp, Z);
-    if (!Fp.isOdd)
-        throw new Error('Field does not have .isOdd()');
-    // Input: u, an element of F.
-    // Output: (x, y), a point on E.
-    return (u) => {
-        // prettier-ignore
-        let tv1, tv2, tv3, tv4, tv5, tv6, x, y;
-        tv1 = Fp.sqr(u); // 1.  tv1 = u^2
-        tv1 = Fp.mul(tv1, Z); // 2.  tv1 = Z * tv1
-        tv2 = Fp.sqr(tv1); // 3.  tv2 = tv1^2
-        tv2 = Fp.add(tv2, tv1); // 4.  tv2 = tv2 + tv1
-        tv3 = Fp.add(tv2, Fp.ONE); // 5.  tv3 = tv2 + 1
-        tv3 = Fp.mul(tv3, B); // 6.  tv3 = B * tv3
-        tv4 = Fp.cmov(Z, Fp.neg(tv2), !Fp.eql(tv2, Fp.ZERO)); // 7.  tv4 = CMOV(Z, -tv2, tv2 != 0)
-        tv4 = Fp.mul(tv4, A); // 8.  tv4 = A * tv4
-        tv2 = Fp.sqr(tv3); // 9.  tv2 = tv3^2
-        tv6 = Fp.sqr(tv4); // 10. tv6 = tv4^2
-        tv5 = Fp.mul(tv6, A); // 11. tv5 = A * tv6
-        tv2 = Fp.add(tv2, tv5); // 12. tv2 = tv2 + tv5
-        tv2 = Fp.mul(tv2, tv3); // 13. tv2 = tv2 * tv3
-        tv6 = Fp.mul(tv6, tv4); // 14. tv6 = tv6 * tv4
-        tv5 = Fp.mul(tv6, B); // 15. tv5 = B * tv6
-        tv2 = Fp.add(tv2, tv5); // 16. tv2 = tv2 + tv5
-        x = Fp.mul(tv1, tv3); // 17.   x = tv1 * tv3
-        const { isValid, value } = sqrtRatio(tv2, tv6); // 18. (is_gx1_square, y1) = sqrt_ratio(tv2, tv6)
-        y = Fp.mul(tv1, u); // 19.   y = tv1 * u  -> Z * u^3 * y1
-        y = Fp.mul(y, value); // 20.   y = y * y1
-        x = Fp.cmov(x, tv3, isValid); // 21.   x = CMOV(x, tv3, is_gx1_square)
-        y = Fp.cmov(y, value, isValid); // 22.   y = CMOV(y, y1, is_gx1_square)
-        const e1 = Fp.isOdd(u) === Fp.isOdd(y); // 23.  e1 = sgn0(u) == sgn0(y)
-        y = Fp.cmov(Fp.neg(y), y, e1); // 24.   y = CMOV(-y, y, e1)
-        const tv4_inv = FpInvertBatch(Fp, [tv4], true)[0];
-        x = Fp.mul(x, tv4_inv); // 25.   x = x / tv4
-        return { x, y };
-    };
-}
-function getWLengths(Fp, Fn) {
-    return {
-        secretKey: Fn.BYTES,
-        publicKey: 1 + Fp.BYTES,
-        publicKeyUncompressed: 1 + 2 * Fp.BYTES,
-        publicKeyHasPrefix: true,
-        signature: 2 * Fn.BYTES,
-    };
-}
-/**
- * Sometimes users only need getPublicKey, getSharedSecret, and secret key handling.
- * This helper ensures no signature functionality is present. Less code, smaller bundle size.
- */
-export function ecdh(Point, ecdhOpts = {}) {
-    const { Fn } = Point;
-    const randomBytes_ = ecdhOpts.randomBytes || randomBytesWeb;
-    const lengths = Object.assign(getWLengths(Point.Fp, Fn), { seed: getMinHashLength(Fn.ORDER) });
-    function isValidSecretKey(secretKey) {
-        try {
-            return !!_normFnElement(Fn, secretKey);
-        }
-        catch (error) {
-            return false;
-        }
-    }
-    function isValidPublicKey(publicKey, isCompressed) {
-        const { publicKey: comp, publicKeyUncompressed } = lengths;
-        try {
-            const l = publicKey.length;
-            if (isCompressed === true && l !== comp)
-                return false;
-            if (isCompressed === false && l !== publicKeyUncompressed)
-                return false;
-            return !!Point.fromBytes(publicKey);
-        }
-        catch (error) {
-            return false;
-        }
-    }
-    /**
-     * Produces cryptographically secure secret key from random of size
-     * (groupLen + ceil(groupLen / 2)) with modulo bias being negligible.
-     */
-    function randomSecretKey(seed = randomBytes_(lengths.seed)) {
-        return mapHashToField(abytes(seed, lengths.seed, 'seed'), Fn.ORDER);
-    }
-    /**
-     * Computes public key for a secret key. Checks for validity of the secret key.
-     * @param isCompressed whether to return compact (default), or full key
-     * @returns Public key, full when isCompressed=false; short when isCompressed=true
-     */
-    function getPublicKey(secretKey, isCompressed = true) {
-        return Point.BASE.multiply(_normFnElement(Fn, secretKey)).toBytes(isCompressed);
-    }
-    function keygen(seed) {
-        const secretKey = randomSecretKey(seed);
-        return { secretKey, publicKey: getPublicKey(secretKey) };
-    }
-    /**
-     * Quick and dirty check for item being public key. Does not validate hex, or being on-curve.
-     */
-    function isProbPub(item) {
-        if (typeof item === 'bigint')
-            return false;
-        if (item instanceof Point)
-            return true;
-        const { secretKey, publicKey, publicKeyUncompressed } = lengths;
-        if (Fn.allowedLengths || secretKey === publicKey)
-            return undefined;
-        const l = ensureBytes('key', item).length;
-        return l === publicKey || l === publicKeyUncompressed;
-    }
-    /**
-     * ECDH (Elliptic Curve Diffie Hellman).
-     * Computes shared public key from secret key A and public key B.
-     * Checks: 1) secret key validity 2) shared key is on-curve.
-     * Does NOT hash the result.
-     * @param isCompressed whether to return compact (default), or full key
-     * @returns shared public key
-     */
-    function getSharedSecret(secretKeyA, publicKeyB, isCompressed = true) {
-        if (isProbPub(secretKeyA) === true)
-            throw new Error('first arg must be private key');
-        if (isProbPub(publicKeyB) === false)
-            throw new Error('second arg must be public key');
-        const s = _normFnElement(Fn, secretKeyA);
-        const b = Point.fromHex(publicKeyB); // checks for being on-curve
-        return b.multiply(s).toBytes(isCompressed);
-    }
-    const utils = {
-        isValidSecretKey,
-        isValidPublicKey,
-        randomSecretKey,
-        // TODO: remove
-        isValidPrivateKey: isValidSecretKey,
-        randomPrivateKey: randomSecretKey,
-        normPrivateKeyToScalar: (key) => _normFnElement(Fn, key),
-        precompute(windowSize = 8, point = Point.BASE) {
-            return point.precompute(windowSize, false);
-        },
-    };
-    return Object.freeze({ getPublicKey, getSharedSecret, keygen, Point, utils, lengths });
-}
-/**
- * Creates ECDSA signing interface for given elliptic curve `Point` and `hash` function.
- * We need `hash` for 2 features:
- * 1. Message prehash-ing. NOT used if `sign` / `verify` are called with `prehash: false`
- * 2. k generation in `sign`, using HMAC-drbg(hash)
- *
- * ECDSAOpts are only rarely needed.
- *
- * @example
- * ```js
- * const p256_Point = weierstrass(...);
- * const p256_sha256 = ecdsa(p256_Point, sha256);
- * const p256_sha224 = ecdsa(p256_Point, sha224);
- * const p256_sha224_r = ecdsa(p256_Point, sha224, { randomBytes: (length) => { ... } });
- * ```
- */
-export function ecdsa(Point, hash, ecdsaOpts = {}) {
-    ahash(hash);
-    _validateObject(ecdsaOpts, {}, {
-        hmac: 'function',
-        lowS: 'boolean',
-        randomBytes: 'function',
-        bits2int: 'function',
-        bits2int_modN: 'function',
-    });
-    const randomBytes = ecdsaOpts.randomBytes || randomBytesWeb;
-    const hmac = ecdsaOpts.hmac ||
-        ((key, ...msgs) => nobleHmac(hash, key, concatBytes(...msgs)));
-    const { Fp, Fn } = Point;
-    const { ORDER: CURVE_ORDER, BITS: fnBits } = Fn;
-    const { keygen, getPublicKey, getSharedSecret, utils, lengths } = ecdh(Point, ecdsaOpts);
-    const defaultSigOpts = {
-        prehash: false,
-        lowS: typeof ecdsaOpts.lowS === 'boolean' ? ecdsaOpts.lowS : false,
-        format: undefined, //'compact' as ECDSASigFormat,
-        extraEntropy: false,
-    };
-    const defaultSigOpts_format = 'compact';
-    function isBiggerThanHalfOrder(number) {
-        const HALF = CURVE_ORDER >> _1n;
-        return number > HALF;
-    }
-    function validateRS(title, num) {
-        if (!Fn.isValidNot0(num))
-            throw new Error(`invalid signature ${title}: out of range 1..Point.Fn.ORDER`);
-        return num;
-    }
-    function validateSigLength(bytes, format) {
-        validateSigFormat(format);
-        const size = lengths.signature;
-        const sizer = format === 'compact' ? size : format === 'recovered' ? size + 1 : undefined;
-        return abytes(bytes, sizer, `${format} signature`);
-    }
-    /**
-     * ECDSA signature with its (r, s) properties. Supports compact, recovered & DER representations.
-     */
-    class Signature {
-        constructor(r, s, recovery) {
-            this.r = validateRS('r', r); // r in [1..N-1];
-            this.s = validateRS('s', s); // s in [1..N-1];
-            if (recovery != null)
-                this.recovery = recovery;
-            Object.freeze(this);
-        }
-        static fromBytes(bytes, format = defaultSigOpts_format) {
-            validateSigLength(bytes, format);
-            let recid;
-            if (format === 'der') {
-                const { r, s } = DER.toSig(abytes(bytes));
-                return new Signature(r, s);
-            }
-            if (format === 'recovered') {
-                recid = bytes[0];
-                format = 'compact';
-                bytes = bytes.subarray(1);
-            }
-            const L = Fn.BYTES;
-            const r = bytes.subarray(0, L);
-            const s = bytes.subarray(L, L * 2);
-            return new Signature(Fn.fromBytes(r), Fn.fromBytes(s), recid);
-        }
-        static fromHex(hex, format) {
-            return this.fromBytes(hexToBytes(hex), format);
-        }
-        addRecoveryBit(recovery) {
-            return new Signature(this.r, this.s, recovery);
-        }
-        recoverPublicKey(messageHash) {
-            const FIELD_ORDER = Fp.ORDER;
-            const { r, s, recovery: rec } = this;
-            if (rec == null || ![0, 1, 2, 3].includes(rec))
-                throw new Error('recovery id invalid');
-            // ECDSA recovery is hard for cofactor > 1 curves.
-            // In sign, `r = q.x mod n`, and here we recover q.x from r.
-            // While recovering q.x >= n, we need to add r+n for cofactor=1 curves.
-            // However, for cofactor>1, r+n may not get q.x:
-            // r+n*i would need to be done instead where i is unknown.
-            // To easily get i, we either need to:
-            // a. increase amount of valid recid values (4, 5...); OR
-            // b. prohibit non-prime-order signatures (recid > 1).
-            const hasCofactor = CURVE_ORDER * _2n < FIELD_ORDER;
-            if (hasCofactor && rec > 1)
-                throw new Error('recovery id is ambiguous for h>1 curve');
-            const radj = rec === 2 || rec === 3 ? r + CURVE_ORDER : r;
-            if (!Fp.isValid(radj))
-                throw new Error('recovery id 2 or 3 invalid');
-            const x = Fp.toBytes(radj);
-            const R = Point.fromBytes(concatBytes(pprefix((rec & 1) === 0), x));
-            const ir = Fn.inv(radj); // r^-1
-            const h = bits2int_modN(ensureBytes('msgHash', messageHash)); // Truncate hash
-            const u1 = Fn.create(-h * ir); // -hr^-1
-            const u2 = Fn.create(s * ir); // sr^-1
-            // (sr^-1)R-(hr^-1)G = -(hr^-1)G + (sr^-1). unsafe is fine: there is no private data.
-            const Q = Point.BASE.multiplyUnsafe(u1).add(R.multiplyUnsafe(u2));
-            if (Q.is0())
-                throw new Error('point at infinify');
-            Q.assertValidity();
-            return Q;
-        }
-        // Signatures should be low-s, to prevent malleability.
-        hasHighS() {
-            return isBiggerThanHalfOrder(this.s);
-        }
-        toBytes(format = defaultSigOpts_format) {
-            validateSigFormat(format);
-            if (format === 'der')
-                return hexToBytes(DER.hexFromSig(this));
-            const r = Fn.toBytes(this.r);
-            const s = Fn.toBytes(this.s);
-            if (format === 'recovered') {
-                if (this.recovery == null)
-                    throw new Error('recovery bit must be present');
-                return concatBytes(Uint8Array.of(this.recovery), r, s);
-            }
-            return concatBytes(r, s);
-        }
-        toHex(format) {
-            return bytesToHex(this.toBytes(format));
-        }
-        // TODO: remove
-        assertValidity() { }
-        static fromCompact(hex) {
-            return Signature.fromBytes(ensureBytes('sig', hex), 'compact');
-        }
-        static fromDER(hex) {
-            return Signature.fromBytes(ensureBytes('sig', hex), 'der');
-        }
-        normalizeS() {
-            return this.hasHighS() ? new Signature(this.r, Fn.neg(this.s), this.recovery) : this;
-        }
-        toDERRawBytes() {
-            return this.toBytes('der');
-        }
-        toDERHex() {
-            return bytesToHex(this.toBytes('der'));
-        }
-        toCompactRawBytes() {
-            return this.toBytes('compact');
-        }
-        toCompactHex() {
-            return bytesToHex(this.toBytes('compact'));
-        }
-    }
-    // RFC6979: ensure ECDSA msg is X bytes and < N. RFC suggests optional truncating via bits2octets.
-    // FIPS 186-4 4.6 suggests the leftmost min(nBitLen, outLen) bits, which matches bits2int.
-    // bits2int can produce res>N, we can do mod(res, N) since the bitLen is the same.
-    // int2octets can't be used; pads small msgs with 0: unacceptatble for trunc as per RFC vectors
-    const bits2int = ecdsaOpts.bits2int ||
-        function bits2int_def(bytes) {
-            // Our custom check "just in case", for protection against DoS
-            if (bytes.length > 8192)
-                throw new Error('input is too large');
-            // For curves with nBitLength % 8 !== 0: bits2octets(bits2octets(m)) !== bits2octets(m)
-            // for some cases, since bytes.length * 8 is not actual bitLength.
-            const num = bytesToNumberBE(bytes); // check for == u8 done here
-            const delta = bytes.length * 8 - fnBits; // truncate to nBitLength leftmost bits
-            return delta > 0 ? num >> BigInt(delta) : num;
-        };
-    const bits2int_modN = ecdsaOpts.bits2int_modN ||
-        function bits2int_modN_def(bytes) {
-            return Fn.create(bits2int(bytes)); // can't use bytesToNumberBE here
-        };
-    // Pads output with zero as per spec
-    const ORDER_MASK = bitMask(fnBits);
-    /** Converts to bytes. Checks if num in `[0..ORDER_MASK-1]` e.g.: `[0..2^256-1]`. */
-    function int2octets(num) {
-        // IMPORTANT: the check ensures working for case `Fn.BYTES != Fn.BITS * 8`
-        aInRange('num < 2^' + fnBits, num, _0n, ORDER_MASK);
-        return Fn.toBytes(num);
-    }
-    function validateMsgAndHash(message, prehash) {
-        abytes(message, undefined, 'message');
-        return prehash ? abytes(hash(message), undefined, 'prehashed message') : message;
-    }
-    /**
-     * Steps A, D of RFC6979 3.2.
-     * Creates RFC6979 seed; converts msg/privKey to numbers.
-     * Used only in sign, not in verify.
-     *
-     * Warning: we cannot assume here that message has same amount of bytes as curve order,
-     * this will be invalid at least for P521. Also it can be bigger for P224 + SHA256.
-     */
-    function prepSig(message, privateKey, opts) {
-        if (['recovered', 'canonical'].some((k) => k in opts))
-            throw new Error('sign() legacy options not supported');
-        const { lowS, prehash, extraEntropy } = validateSigOpts(opts, defaultSigOpts);
-        message = validateMsgAndHash(message, prehash); // RFC6979 3.2 A: h1 = H(m)
-        // We can't later call bits2octets, since nested bits2int is broken for curves
-        // with fnBits % 8 !== 0. Because of that, we unwrap it here as int2octets call.
-        // const bits2octets = (bits) => int2octets(bits2int_modN(bits))
-        const h1int = bits2int_modN(message);
-        const d = _normFnElement(Fn, privateKey); // validate secret key, convert to bigint
-        const seedArgs = [int2octets(d), int2octets(h1int)];
-        // extraEntropy. RFC6979 3.6: additional k' (optional).
-        if (extraEntropy != null && extraEntropy !== false) {
-            // K = HMAC_K(V || 0x00 || int2octets(x) || bits2octets(h1) || k')
-            // gen random bytes OR pass as-is
-            const e = extraEntropy === true ? randomBytes(lengths.secretKey) : extraEntropy;
-            seedArgs.push(ensureBytes('extraEntropy', e)); // check for being bytes
-        }
-        const seed = concatBytes(...seedArgs); // Step D of RFC6979 3.2
-        const m = h1int; // NOTE: no need to call bits2int second time here, it is inside truncateHash!
-        // Converts signature params into point w r/s, checks result for validity.
-        // To transform k => Signature:
-        // q = k⋅G
-        // r = q.x mod n
-        // s = k^-1(m + rd) mod n
-        // Can use scalar blinding b^-1(bm + bdr) where b ∈ [1,q−1] according to
-        // https://tches.iacr.org/index.php/TCHES/article/view/7337/6509. We've decided against it:
-        // a) dependency on CSPRNG b) 15% slowdown c) doesn't really help since bigints are not CT
-        function k2sig(kBytes) {
-            // RFC 6979 Section 3.2, step 3: k = bits2int(T)
-            // Important: all mod() calls here must be done over N
-            const k = bits2int(kBytes); // mod n, not mod p
-            if (!Fn.isValidNot0(k))
-                return; // Valid scalars (including k) must be in 1..N-1
-            const ik = Fn.inv(k); // k^-1 mod n
-            const q = Point.BASE.multiply(k).toAffine(); // q = k⋅G
-            const r = Fn.create(q.x); // r = q.x mod n
-            if (r === _0n)
-                return;
-            const s = Fn.create(ik * Fn.create(m + r * d)); // Not using blinding here, see comment above
-            if (s === _0n)
-                return;
-            let recovery = (q.x === r ? 0 : 2) | Number(q.y & _1n); // recovery bit (2 or 3, when q.x > n)
-            let normS = s;
-            if (lowS && isBiggerThanHalfOrder(s)) {
-                normS = Fn.neg(s); // if lowS was passed, ensure s is always
-                recovery ^= 1; // // in the bottom half of N
-            }
-            return new Signature(r, normS, recovery); // use normS, not s
-        }
-        return { seed, k2sig };
-    }
-    /**
-     * Signs message hash with a secret key.
-     *
-     * ```
-     * sign(m, d) where
-     *   k = rfc6979_hmac_drbg(m, d)
-     *   (x, y) = G × k
-     *   r = x mod n
-     *   s = (m + dr) / k mod n
-     * ```
-     */
-    function sign(message, secretKey, opts = {}) {
-        message = ensureBytes('message', message);
-        const { seed, k2sig } = prepSig(message, secretKey, opts); // Steps A, D of RFC6979 3.2.
-        const drbg = createHmacDrbg(hash.outputLen, Fn.BYTES, hmac);
-        const sig = drbg(seed, k2sig); // Steps B, C, D, E, F, G
-        return sig;
-    }
-    function tryParsingSig(sg) {
-        // Try to deduce format
-        let sig = undefined;
-        const isHex = typeof sg === 'string' || isBytes(sg);
-        const isObj = !isHex &&
-            sg !== null &&
-            typeof sg === 'object' &&
-            typeof sg.r === 'bigint' &&
-            typeof sg.s === 'bigint';
-        if (!isHex && !isObj)
-            throw new Error('invalid signature, expected Uint8Array, hex string or Signature instance');
-        if (isObj) {
-            sig = new Signature(sg.r, sg.s);
-        }
-        else if (isHex) {
-            try {
-                sig = Signature.fromBytes(ensureBytes('sig', sg), 'der');
-            }
-            catch (derError) {
-                if (!(derError instanceof DER.Err))
-                    throw derError;
-            }
-            if (!sig) {
-                try {
-                    sig = Signature.fromBytes(ensureBytes('sig', sg), 'compact');
-                }
-                catch (error) {
-                    return false;
-                }
-            }
-        }
-        if (!sig)
-            return false;
-        return sig;
-    }
-    /**
-     * Verifies a signature against message and public key.
-     * Rejects lowS signatures by default: see {@link ECDSAVerifyOpts}.
-     * Implements section 4.1.4 from https://www.secg.org/sec1-v2.pdf:
-     *
-     * ```
-     * verify(r, s, h, P) where
-     *   u1 = hs^-1 mod n
-     *   u2 = rs^-1 mod n
-     *   R = u1⋅G + u2⋅P
-     *   mod(R.x, n) == r
-     * ```
-     */
-    function verify(signature, message, publicKey, opts = {}) {
-        const { lowS, prehash, format } = validateSigOpts(opts, defaultSigOpts);
-        publicKey = ensureBytes('publicKey', publicKey);
-        message = validateMsgAndHash(ensureBytes('message', message), prehash);
-        if ('strict' in opts)
-            throw new Error('options.strict was renamed to lowS');
-        const sig = format === undefined
-            ? tryParsingSig(signature)
-            : Signature.fromBytes(ensureBytes('sig', signature), format);
-        if (sig === false)
-            return false;
-        try {
-            const P = Point.fromBytes(publicKey);
-            if (lowS && sig.hasHighS())
-                return false;
-            const { r, s } = sig;
-            const h = bits2int_modN(message); // mod n, not mod p
-            const is = Fn.inv(s); // s^-1 mod n
-            const u1 = Fn.create(h * is); // u1 = hs^-1 mod n
-            const u2 = Fn.create(r * is); // u2 = rs^-1 mod n
-            const R = Point.BASE.multiplyUnsafe(u1).add(P.multiplyUnsafe(u2)); // u1⋅G + u2⋅P
-            if (R.is0())
-                return false;
-            const v = Fn.create(R.x); // v = r.x mod n
-            return v === r;
-        }
-        catch (e) {
-            return false;
-        }
-    }
-    function recoverPublicKey(signature, message, opts = {}) {
-        const { prehash } = validateSigOpts(opts, defaultSigOpts);
-        message = validateMsgAndHash(message, prehash);
-        return Signature.fromBytes(signature, 'recovered').recoverPublicKey(message).toBytes();
-    }
-    return Object.freeze({
-        keygen,
-        getPublicKey,
-        getSharedSecret,
-        utils,
-        lengths,
-        Point,
-        sign,
-        verify,
-        recoverPublicKey,
-        Signature,
-        hash,
-    });
-}
-/** @deprecated use `weierstrass` in newer releases */
-export function weierstrassPoints(c) {
-    const { CURVE, curveOpts } = _weierstrass_legacy_opts_to_new(c);
-    const Point = weierstrassN(CURVE, curveOpts);
-    return _weierstrass_new_output_to_legacy(c, Point);
-}
-function _weierstrass_legacy_opts_to_new(c) {
-    const CURVE = {
-        a: c.a,
-        b: c.b,
-        p: c.Fp.ORDER,
-        n: c.n,
-        h: c.h,
-        Gx: c.Gx,
-        Gy: c.Gy,
-    };
-    const Fp = c.Fp;
-    let allowedLengths = c.allowedPrivateKeyLengths
-        ? Array.from(new Set(c.allowedPrivateKeyLengths.map((l) => Math.ceil(l / 2))))
-        : undefined;
-    const Fn = Field(CURVE.n, {
-        BITS: c.nBitLength,
-        allowedLengths: allowedLengths,
-        modFromBytes: c.wrapPrivateKey,
-    });
-    const curveOpts = {
-        Fp,
-        Fn,
-        allowInfinityPoint: c.allowInfinityPoint,
-        endo: c.endo,
-        isTorsionFree: c.isTorsionFree,
-        clearCofactor: c.clearCofactor,
-        fromBytes: c.fromBytes,
-        toBytes: c.toBytes,
-    };
-    return { CURVE, curveOpts };
-}
-function _ecdsa_legacy_opts_to_new(c) {
-    const { CURVE, curveOpts } = _weierstrass_legacy_opts_to_new(c);
-    const ecdsaOpts = {
-        hmac: c.hmac,
-        randomBytes: c.randomBytes,
-        lowS: c.lowS,
-        bits2int: c.bits2int,
-        bits2int_modN: c.bits2int_modN,
-    };
-    return { CURVE, curveOpts, hash: c.hash, ecdsaOpts };
-}
-export function _legacyHelperEquat(Fp, a, b) {
-    /**
-     * y² = x³ + ax + b: Short weierstrass curve formula. Takes x, returns y².
-     * @returns y²
-     */
-    function weierstrassEquation(x) {
-        const x2 = Fp.sqr(x); // x * x
-        const x3 = Fp.mul(x2, x); // x² * x
-        return Fp.add(Fp.add(x3, Fp.mul(x, a)), b); // x³ + a * x + b
-    }
-    return weierstrassEquation;
-}
-function _weierstrass_new_output_to_legacy(c, Point) {
-    const { Fp, Fn } = Point;
-    function isWithinCurveOrder(num) {
-        return inRange(num, _1n, Fn.ORDER);
-    }
-    const weierstrassEquation = _legacyHelperEquat(Fp, c.a, c.b);
-    return Object.assign({}, {
-        CURVE: c,
-        Point: Point,
-        ProjectivePoint: Point,
-        normPrivateKeyToScalar: (key) => _normFnElement(Fn, key),
-        weierstrassEquation,
-        isWithinCurveOrder,
-    });
-}
-function _ecdsa_new_output_to_legacy(c, _ecdsa) {
-    const Point = _ecdsa.Point;
-    return Object.assign({}, _ecdsa, {
-        ProjectivePoint: Point,
-        CURVE: Object.assign({}, c, nLength(Point.Fn.ORDER, Point.Fn.BITS)),
-    });
-}
-// _ecdsa_legacy
-export function weierstrass(c) {
-    const { CURVE, curveOpts, hash, ecdsaOpts } = _ecdsa_legacy_opts_to_new(c);
-    const Point = weierstrassN(CURVE, curveOpts);
-    const signs = ecdsa(Point, hash, ecdsaOpts);
-    return _ecdsa_new_output_to_legacy(c, signs);
-}
-//# sourceMappingURL=weierstrass.js.map

esm/abstract/weierstrass.js.map

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esm/bls12-381.d.ts

-import { type CurveFn } from './abstract/bls.ts';
-import { type IField } from './abstract/modular.ts';
-export declare const bls12_381_Fr: IField<bigint>;
-/**
- * bls12-381 pairing-friendly curve.
- * @example
- * import { bls12_381 as bls } from '@noble/curves/bls12-381';
- * // G1 keys, G2 signatures
- * const privateKey = '67d53f170b908cabb9eb326c3c337762d59289a8fec79f7bc9254b584b73265c';
- * const message = '64726e3da8';
- * const publicKey = bls.getPublicKey(privateKey);
- * const signature = bls.sign(message, privateKey);
- * const isValid = bls.verify(signature, message, publicKey);
- */
-export declare const bls12_381: CurveFn;
-//# sourceMappingURL=bls12-381.d.ts.map

esm/bls12-381.d.ts.map

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esm/bls12-381.js

-/**
- * bls12-381 is pairing-friendly Barreto-Lynn-Scott elliptic curve construction allowing to:
-
-* Construct zk-SNARKs at the ~120-bit security, as per [Barbulescu-Duquesne 2017](https://hal.science/hal-01534101/file/main.pdf)
-* Efficiently verify N aggregate signatures with 1 pairing and N ec additions:
-the Boneh-Lynn-Shacham signature scheme is orders of magnitude more efficient than Schnorr
-
-BLS can mean 2 different things:
-
-* Barreto-Lynn-Scott: BLS12, a Pairing Friendly Elliptic Curve
-* Boneh-Lynn-Shacham: A Signature Scheme.
-
-### Summary
-
-1. BLS Relies on expensive bilinear pairing
-2. Secret Keys: 32 bytes
-3. Public Keys: 48 OR 96 bytes - big-endian x coordinate of point on G1 OR G2 curve
-4. Signatures: 96 OR 48 bytes - big-endian x coordinate of point on G2 OR G1 curve
-5. The 12 stands for the Embedding degree.
-
-Modes of operation:
-
-* Long signatures:  48-byte keys + 96-byte sigs (G1 keys + G2 sigs).
-* Short signatures: 96-byte keys + 48-byte sigs (G2 keys + G1 sigs).
-
-### Formulas
-
-- `P = pk x G` - public keys
-- `S = pk x H(m)` - signing, uses hash-to-curve on m
-- `e(P, H(m)) == e(G, S)` - verification using pairings
-- `e(G, S) = e(G, SUM(n)(Si)) = MUL(n)(e(G, Si))` - signature aggregation
-
-### Curves
-
-G1 is ordinary elliptic curve. G2 is extension field curve, think "over complex numbers".
-
-- G1: y² = x³ + 4
-- G2: y² = x³ + 4(u + 1) where u = √−1; r-order subgroup of E'(Fp²), M-type twist
-
-### Towers
-
-Pairing G1 + G2 produces element in Fp₁₂, 12-degree polynomial.
-Fp₁₂ is usually implemented using tower of lower-degree polynomials for speed.
-
-- Fp₁₂ = Fp₆² => Fp₂³
-- Fp(u) / (u² - β) where β = -1
-- Fp₂(v) / (v³ - ξ) where ξ = u + 1
-- Fp₆(w) / (w² - γ) where γ = v
-- Fp²[u] = Fp/u²+1
-- Fp⁶[v] = Fp²/v³-1-u
-- Fp¹²[w] = Fp⁶/w²-v
-
-### Params
-
-* Embedding degree (k): 12
-* Seed is sometimes named x or t
-* t = -15132376222941642752
-* p = (t-1)² * (t⁴-t²+1)/3 + t
-* r = t⁴-t²+1
-* Ate loop size: X
-
-To verify curve parameters, see
-[pairing-friendly-curves spec](https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-pairing-friendly-curves-11).
-Basic math is done over finite fields over p.
-More complicated math is done over polynominal extension fields.
-
-### Compatibility and notes
-1. It is compatible with Algorand, Chia, Dfinity, Ethereum, Filecoin, ZEC.
-Filecoin uses little endian byte arrays for secret keys - make sure to reverse byte order.
-2. Make sure to correctly select mode: "long signature" or "short signature".
-3. Compatible with specs:
-   RFC 9380,
-   [cfrg-pairing-friendly-curves-11](https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-pairing-friendly-curves-11),
-   [cfrg-bls-signature-05](https://datatracker.ietf.org/doc/draft-irtf-cfrg-bls-signature/).
-
- *
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { sha256 } from '@noble/hashes/sha2.js';
-import { bls } from "./abstract/bls.js";
-import { Field } from "./abstract/modular.js";
-import { abytes, bitLen, bitMask, bytesToHex, bytesToNumberBE, concatBytes, ensureBytes, numberToBytesBE, } from "./utils.js";
-// Types
-import { isogenyMap } from "./abstract/hash-to-curve.js";
-import { psiFrobenius, tower12 } from "./abstract/tower.js";
-import { mapToCurveSimpleSWU, } from "./abstract/weierstrass.js";
-// Be friendly to bad ECMAScript parsers by not using bigint literals
-// prettier-ignore
-const _0n = BigInt(0), _1n = BigInt(1), _2n = BigInt(2), _3n = BigInt(3), _4n = BigInt(4);
-// To verify math:
-// https://tools.ietf.org/html/draft-irtf-cfrg-pairing-friendly-curves-11
-// The BLS parameter x (seed) for BLS12-381. NOTE: it is negative!
-// x = -2^63 - 2^62 - 2^60 - 2^57 - 2^48 - 2^16
-const BLS_X = BigInt('0xd201000000010000');
-// t = x (called differently in different places)
-// const t = -BLS_X;
-const BLS_X_LEN = bitLen(BLS_X);
-// a=0, b=4
-// P is characteristic of field Fp, in which curve calculations are done.
-// p = (t-1)² * (t⁴-t²+1)/3 + t
-// bls12_381_Fp = (t-1n)**2n * (t**4n - t**2n + 1n) / 3n + t
-// r*h is curve order, amount of points on curve,
-// where r is order of prime subgroup and h is cofactor.
-// r = t⁴-t²+1
-// r = (t**4n - t**2n + 1n)
-// cofactor h of G1: (t - 1)²/3
-// cofactorG1 = (t-1n)**2n/3n
-// x = 3685416753713387016781088315183077757961620795782546409894578378688607592378376318836054947676345821548104185464507
-// y = 1339506544944476473020471379941921221584933875938349620426543736416511423956333506472724655353366534992391756441569
-const bls12_381_CURVE_G1 = {
-    p: BigInt('0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab'),
-    n: BigInt('0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001'),
-    h: BigInt('0x396c8c005555e1568c00aaab0000aaab'),
-    a: _0n,
-    b: _4n,
-    Gx: BigInt('0x17f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb'),
-    Gy: BigInt('0x08b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e1'),
-};
-// CURVE FIELDS
-export const bls12_381_Fr = Field(bls12_381_CURVE_G1.n, {
-    modFromBytes: true,
-    isLE: true,
-});
-const { Fp, Fp2, Fp6, Fp12 } = tower12({
-    ORDER: bls12_381_CURVE_G1.p,
-    X_LEN: BLS_X_LEN,
-    // Finite extension field over irreducible polynominal.
-    // Fp(u) / (u² - β) where β = -1
-    FP2_NONRESIDUE: [_1n, _1n],
-    Fp2mulByB: ({ c0, c1 }) => {
-        const t0 = Fp.mul(c0, _4n); // 4 * c0
-        const t1 = Fp.mul(c1, _4n); // 4 * c1
-        // (T0-T1) + (T0+T1)*i
-        return { c0: Fp.sub(t0, t1), c1: Fp.add(t0, t1) };
-    },
-    Fp12finalExponentiate: (num) => {
-        const x = BLS_X;
-        // this^(q⁶) / this
-        const t0 = Fp12.div(Fp12.frobeniusMap(num, 6), num);
-        // t0^(q²) * t0
-        const t1 = Fp12.mul(Fp12.frobeniusMap(t0, 2), t0);
-        const t2 = Fp12.conjugate(Fp12._cyclotomicExp(t1, x));
-        const t3 = Fp12.mul(Fp12.conjugate(Fp12._cyclotomicSquare(t1)), t2);
-        const t4 = Fp12.conjugate(Fp12._cyclotomicExp(t3, x));
-        const t5 = Fp12.conjugate(Fp12._cyclotomicExp(t4, x));
-        const t6 = Fp12.mul(Fp12.conjugate(Fp12._cyclotomicExp(t5, x)), Fp12._cyclotomicSquare(t2));
-        const t7 = Fp12.conjugate(Fp12._cyclotomicExp(t6, x));
-        const t2_t5_pow_q2 = Fp12.frobeniusMap(Fp12.mul(t2, t5), 2);
-        const t4_t1_pow_q3 = Fp12.frobeniusMap(Fp12.mul(t4, t1), 3);
-        const t6_t1c_pow_q1 = Fp12.frobeniusMap(Fp12.mul(t6, Fp12.conjugate(t1)), 1);
-        const t7_t3c_t1 = Fp12.mul(Fp12.mul(t7, Fp12.conjugate(t3)), t1);
-        // (t2 * t5)^(q²) * (t4 * t1)^(q³) * (t6 * t1.conj)^(q^1) * t7 * t3.conj * t1
-        return Fp12.mul(Fp12.mul(Fp12.mul(t2_t5_pow_q2, t4_t1_pow_q3), t6_t1c_pow_q1), t7_t3c_t1);
-    },
-});
-// GLV endomorphism Ψ(P), for fast cofactor clearing
-const { G2psi, G2psi2 } = psiFrobenius(Fp, Fp2, Fp2.div(Fp2.ONE, Fp2.NONRESIDUE)); // 1/(u+1)
-/**
- * Default hash_to_field / hash-to-curve for BLS.
- * m: 1 for G1, 2 for G2
- * k: target security level in bits
- * hash: any function, e.g. BBS+ uses BLAKE2: see [github](https://github.com/hyperledger/aries-framework-go/issues/2247).
- * Parameter values come from [section 8.8.2 of RFC 9380](https://www.rfc-editor.org/rfc/rfc9380#section-8.8.2).
- */
-const htfDefaults = Object.freeze({
-    DST: 'BLS_SIG_BLS12381G2_XMD:SHA-256_SSWU_RO_NUL_',
-    encodeDST: 'BLS_SIG_BLS12381G2_XMD:SHA-256_SSWU_RO_NUL_',
-    p: Fp.ORDER,
-    m: 2,
-    k: 128,
-    expand: 'xmd',
-    hash: sha256,
-});
-// a=0, b=4
-// cofactor h of G2
-// (t^8 - 4t^7 + 5t^6 - 4t^4 + 6t^3 - 4t^2 - 4t + 13)/9
-// cofactorG2 = (t**8n - 4n*t**7n + 5n*t**6n - 4n*t**4n + 6n*t**3n - 4n*t**2n - 4n*t+13n)/9n
-// x = 3059144344244213709971259814753781636986470325476647558659373206291635324768958432433509563104347017837885763365758*u + 352701069587466618187139116011060144890029952792775240219908644239793785735715026873347600343865175952761926303160
-// y = 927553665492332455747201965776037880757740193453592970025027978793976877002675564980949289727957565575433344219582*u + 1985150602287291935568054521177171638300868978215655730859378665066344726373823718423869104263333984641494340347905
-const bls12_381_CURVE_G2 = {
-    p: Fp2.ORDER,
-    n: bls12_381_CURVE_G1.n,
-    h: BigInt('0x5d543a95414e7f1091d50792876a202cd91de4547085abaa68a205b2e5a7ddfa628f1cb4d9e82ef21537e293a6691ae1616ec6e786f0c70cf1c38e31c7238e5'),
-    a: Fp2.ZERO,
-    b: Fp2.fromBigTuple([_4n, _4n]),
-    Gx: Fp2.fromBigTuple([
-        BigInt('0x024aa2b2f08f0a91260805272dc51051c6e47ad4fa403b02b4510b647ae3d1770bac0326a805bbefd48056c8c121bdb8'),
-        BigInt('0x13e02b6052719f607dacd3a088274f65596bd0d09920b61ab5da61bbdc7f5049334cf11213945d57e5ac7d055d042b7e'),
-    ]),
-    Gy: Fp2.fromBigTuple([
-        BigInt('0x0ce5d527727d6e118cc9cdc6da2e351aadfd9baa8cbdd3a76d429a695160d12c923ac9cc3baca289e193548608b82801'),
-        BigInt('0x0606c4a02ea734cc32acd2b02bc28b99cb3e287e85a763af267492ab572e99ab3f370d275cec1da1aaa9075ff05f79be'),
-    ]),
-};
-// Encoding utils
-// Compressed point of infinity
-// Set compressed & point-at-infinity bits
-const COMPZERO = setMask(Fp.toBytes(_0n), { infinity: true, compressed: true });
-function parseMask(bytes) {
-    // Copy, so we can remove mask data. It will be removed also later, when Fp.create will call modulo.
-    bytes = bytes.slice();
-    const mask = bytes[0] & 224;
-    const compressed = !!((mask >> 7) & 1); // compression bit (0b1000_0000)
-    const infinity = !!((mask >> 6) & 1); // point at infinity bit (0b0100_0000)
-    const sort = !!((mask >> 5) & 1); // sort bit (0b0010_0000)
-    bytes[0] &= 31; // clear mask (zero first 3 bits)
-    return { compressed, infinity, sort, value: bytes };
-}
-function setMask(bytes, mask) {
-    if (bytes[0] & 224)
-        throw new Error('setMask: non-empty mask');
-    if (mask.compressed)
-        bytes[0] |= 128;
-    if (mask.infinity)
-        bytes[0] |= 64;
-    if (mask.sort)
-        bytes[0] |= 32;
-    return bytes;
-}
-function pointG1ToBytes(_c, point, isComp) {
-    const { BYTES: L, ORDER: P } = Fp;
-    const is0 = point.is0();
-    const { x, y } = point.toAffine();
-    if (isComp) {
-        if (is0)
-            return COMPZERO.slice();
-        const sort = Boolean((y * _2n) / P);
-        return setMask(numberToBytesBE(x, L), { compressed: true, sort });
-    }
-    else {
-        if (is0) {
-            return concatBytes(Uint8Array.of(0x40), new Uint8Array(2 * L - 1));
-        }
-        else {
-            return concatBytes(numberToBytesBE(x, L), numberToBytesBE(y, L));
-        }
-    }
-}
-function signatureG1ToBytes(point) {
-    point.assertValidity();
-    const { BYTES: L, ORDER: P } = Fp;
-    const { x, y } = point.toAffine();
-    if (point.is0())
-        return COMPZERO.slice();
-    const sort = Boolean((y * _2n) / P);
-    return setMask(numberToBytesBE(x, L), { compressed: true, sort });
-}
-function pointG1FromBytes(bytes) {
-    const { compressed, infinity, sort, value } = parseMask(bytes);
-    const { BYTES: L, ORDER: P } = Fp;
-    if (value.length === 48 && compressed) {
-        const compressedValue = bytesToNumberBE(value);
-        // Zero
-        const x = Fp.create(compressedValue & bitMask(Fp.BITS));
-        if (infinity) {
-            if (x !== _0n)
-                throw new Error('invalid G1 point: non-empty, at infinity, with compression');
-            return { x: _0n, y: _0n };
-        }
-        const right = Fp.add(Fp.pow(x, _3n), Fp.create(bls12_381_CURVE_G1.b)); // y² = x³ + b
-        let y = Fp.sqrt(right);
-        if (!y)
-            throw new Error('invalid G1 point: compressed point');
-        if ((y * _2n) / P !== BigInt(sort))
-            y = Fp.neg(y);
-        return { x: Fp.create(x), y: Fp.create(y) };
-    }
-    else if (value.length === 96 && !compressed) {
-        // Check if the infinity flag is set
-        const x = bytesToNumberBE(value.subarray(0, L));
-        const y = bytesToNumberBE(value.subarray(L));
-        if (infinity) {
-            if (x !== _0n || y !== _0n)
-                throw new Error('G1: non-empty point at infinity');
-            return bls12_381.G1.Point.ZERO.toAffine();
-        }
-        return { x: Fp.create(x), y: Fp.create(y) };
-    }
-    else {
-        throw new Error('invalid G1 point: expected 48/96 bytes');
-    }
-}
-function signatureG1FromBytes(hex) {
-    const { infinity, sort, value } = parseMask(ensureBytes('signatureHex', hex, 48));
-    const P = Fp.ORDER;
-    const Point = bls12_381.G1.Point;
-    const compressedValue = bytesToNumberBE(value);
-    // Zero
-    if (infinity)
-        return Point.ZERO;
-    const x = Fp.create(compressedValue & bitMask(Fp.BITS));
-    const right = Fp.add(Fp.pow(x, _3n), Fp.create(bls12_381_CURVE_G1.b)); // y² = x³ + b
-    let y = Fp.sqrt(right);
-    if (!y)
-        throw new Error('invalid G1 point: compressed');
-    const aflag = BigInt(sort);
-    if ((y * _2n) / P !== aflag)
-        y = Fp.neg(y);
-    const point = Point.fromAffine({ x, y });
-    point.assertValidity();
-    return point;
-}
-function pointG2ToBytes(_c, point, isComp) {
-    const { BYTES: L, ORDER: P } = Fp;
-    const is0 = point.is0();
-    const { x, y } = point.toAffine();
-    if (isComp) {
-        if (is0)
-            return concatBytes(COMPZERO, numberToBytesBE(_0n, L));
-        const flag = Boolean(y.c1 === _0n ? (y.c0 * _2n) / P : (y.c1 * _2n) / P);
-        return concatBytes(setMask(numberToBytesBE(x.c1, L), { compressed: true, sort: flag }), numberToBytesBE(x.c0, L));
-    }
-    else {
-        if (is0)
-            return concatBytes(Uint8Array.of(0x40), new Uint8Array(4 * L - 1));
-        const { re: x0, im: x1 } = Fp2.reim(x);
-        const { re: y0, im: y1 } = Fp2.reim(y);
-        return concatBytes(numberToBytesBE(x1, L), numberToBytesBE(x0, L), numberToBytesBE(y1, L), numberToBytesBE(y0, L));
-    }
-}
-function signatureG2ToBytes(point) {
-    point.assertValidity();
-    const { BYTES: L } = Fp;
-    if (point.is0())
-        return concatBytes(COMPZERO, numberToBytesBE(_0n, L));
-    const { x, y } = point.toAffine();
-    const { re: x0, im: x1 } = Fp2.reim(x);
-    const { re: y0, im: y1 } = Fp2.reim(y);
-    const tmp = y1 > _0n ? y1 * _2n : y0 * _2n;
-    const sort = Boolean((tmp / Fp.ORDER) & _1n);
-    const z2 = x0;
-    return concatBytes(setMask(numberToBytesBE(x1, L), { sort, compressed: true }), numberToBytesBE(z2, L));
-}
-function pointG2FromBytes(bytes) {
-    const { BYTES: L, ORDER: P } = Fp;
-    const { compressed, infinity, sort, value } = parseMask(bytes);
-    if ((!compressed && !infinity && sort) || // 00100000
-        (!compressed && infinity && sort) || // 01100000
-        (sort && infinity && compressed) // 11100000
-    ) {
-        throw new Error('invalid encoding flag: ' + (bytes[0] & 224));
-    }
-    const slc = (b, from, to) => bytesToNumberBE(b.slice(from, to));
-    if (value.length === 96 && compressed) {
-        if (infinity) {
-            // check that all bytes are 0
-            if (value.reduce((p, c) => (p !== 0 ? c + 1 : c), 0) > 0) {
-                throw new Error('invalid G2 point: compressed');
-            }
-            return { x: Fp2.ZERO, y: Fp2.ZERO };
-        }
-        const x_1 = slc(value, 0, L);
-        const x_0 = slc(value, L, 2 * L);
-        const x = Fp2.create({ c0: Fp.create(x_0), c1: Fp.create(x_1) });
-        const right = Fp2.add(Fp2.pow(x, _3n), bls12_381_CURVE_G2.b); // y² = x³ + 4 * (u+1) = x³ + b
-        let y = Fp2.sqrt(right);
-        const Y_bit = y.c1 === _0n ? (y.c0 * _2n) / P : (y.c1 * _2n) / P ? _1n : _0n;
-        y = sort && Y_bit > 0 ? y : Fp2.neg(y);
-        return { x, y };
-    }
-    else if (value.length === 192 && !compressed) {
-        if (infinity) {
-            if (value.reduce((p, c) => (p !== 0 ? c + 1 : c), 0) > 0) {
-                throw new Error('invalid G2 point: uncompressed');
-            }
-            return { x: Fp2.ZERO, y: Fp2.ZERO };
-        }
-        const x1 = slc(value, 0 * L, 1 * L);
-        const x0 = slc(value, 1 * L, 2 * L);
-        const y1 = slc(value, 2 * L, 3 * L);
-        const y0 = slc(value, 3 * L, 4 * L);
-        return { x: Fp2.fromBigTuple([x0, x1]), y: Fp2.fromBigTuple([y0, y1]) };
-    }
-    else {
-        throw new Error('invalid G2 point: expected 96/192 bytes');
-    }
-}
-function signatureG2FromBytes(hex) {
-    const { ORDER: P } = Fp;
-    // TODO: Optimize, it's very slow because of sqrt.
-    const { infinity, sort, value } = parseMask(ensureBytes('signatureHex', hex));
-    const Point = bls12_381.G2.Point;
-    const half = value.length / 2;
-    if (half !== 48 && half !== 96)
-        throw new Error('invalid compressed signature length, expected 96/192 bytes');
-    const z1 = bytesToNumberBE(value.slice(0, half));
-    const z2 = bytesToNumberBE(value.slice(half));
-    // Indicates the infinity point
-    if (infinity)
-        return Point.ZERO;
-    const x1 = Fp.create(z1 & bitMask(Fp.BITS));
-    const x2 = Fp.create(z2);
-    const x = Fp2.create({ c0: x2, c1: x1 });
-    const y2 = Fp2.add(Fp2.pow(x, _3n), bls12_381_CURVE_G2.b); // y² = x³ + 4
-    // The slow part
-    let y = Fp2.sqrt(y2);
-    if (!y)
-        throw new Error('Failed to find a square root');
-    // Choose the y whose leftmost bit of the imaginary part is equal to the a_flag1
-    // If y1 happens to be zero, then use the bit of y0
-    const { re: y0, im: y1 } = Fp2.reim(y);
-    const aflag1 = BigInt(sort);
-    const isGreater = y1 > _0n && (y1 * _2n) / P !== aflag1;
-    const is0 = y1 === _0n && (y0 * _2n) / P !== aflag1;
-    if (isGreater || is0)
-        y = Fp2.neg(y);
-    const point = Point.fromAffine({ x, y });
-    point.assertValidity();
-    return point;
-}
-/**
- * bls12-381 pairing-friendly curve.
- * @example
- * import { bls12_381 as bls } from '@noble/curves/bls12-381';
- * // G1 keys, G2 signatures
- * const privateKey = '67d53f170b908cabb9eb326c3c337762d59289a8fec79f7bc9254b584b73265c';
- * const message = '64726e3da8';
- * const publicKey = bls.getPublicKey(privateKey);
- * const signature = bls.sign(message, privateKey);
- * const isValid = bls.verify(signature, message, publicKey);
- */
-export const bls12_381 = bls({
-    // Fields
-    fields: {
-        Fp,
-        Fp2,
-        Fp6,
-        Fp12,
-        Fr: bls12_381_Fr,
-    },
-    // G1: y² = x³ + 4
-    G1: {
-        ...bls12_381_CURVE_G1,
-        Fp,
-        htfDefaults: { ...htfDefaults, m: 1, DST: 'BLS_SIG_BLS12381G1_XMD:SHA-256_SSWU_RO_NUL_' },
-        wrapPrivateKey: true,
-        allowInfinityPoint: true,
-        // Checks is the point resides in prime-order subgroup.
-        // point.isTorsionFree() should return true for valid points
-        // It returns false for shitty points.
-        // https://eprint.iacr.org/2021/1130.pdf
-        isTorsionFree: (c, point) => {
-            // GLV endomorphism ψ(P)
-            const beta = BigInt('0x5f19672fdf76ce51ba69c6076a0f77eaddb3a93be6f89688de17d813620a00022e01fffffffefffe');
-            const phi = new c(Fp.mul(point.X, beta), point.Y, point.Z);
-            // TODO: unroll
-            const xP = point.multiplyUnsafe(BLS_X).negate(); // [x]P
-            const u2P = xP.multiplyUnsafe(BLS_X); // [u2]P
-            return u2P.equals(phi);
-        },
-        // Clear cofactor of G1
-        // https://eprint.iacr.org/2019/403
-        clearCofactor: (_c, point) => {
-            // return this.multiplyUnsafe(CURVE.h);
-            return point.multiplyUnsafe(BLS_X).add(point); // x*P + P
-        },
-        mapToCurve: mapToG1,
-        fromBytes: pointG1FromBytes,
-        toBytes: pointG1ToBytes,
-        ShortSignature: {
-            fromBytes(bytes) {
-                abytes(bytes);
-                return signatureG1FromBytes(bytes);
-            },
-            fromHex(hex) {
-                return signatureG1FromBytes(hex);
-            },
-            toBytes(point) {
-                return signatureG1ToBytes(point);
-            },
-            toRawBytes(point) {
-                return signatureG1ToBytes(point);
-            },
-            toHex(point) {
-                return bytesToHex(signatureG1ToBytes(point));
-            },
-        },
-    },
-    G2: {
-        ...bls12_381_CURVE_G2,
-        Fp: Fp2,
-        // https://datatracker.ietf.org/doc/html/rfc9380#name-clearing-the-cofactor
-        // https://datatracker.ietf.org/doc/html/rfc9380#name-cofactor-clearing-for-bls12
-        hEff: BigInt('0xbc69f08f2ee75b3584c6a0ea91b352888e2a8e9145ad7689986ff031508ffe1329c2f178731db956d82bf015d1212b02ec0ec69d7477c1ae954cbc06689f6a359894c0adebbf6b4e8020005aaa95551'),
-        htfDefaults: { ...htfDefaults },
-        wrapPrivateKey: true,
-        allowInfinityPoint: true,
-        mapToCurve: mapToG2,
-        // Checks is the point resides in prime-order subgroup.
-        // point.isTorsionFree() should return true for valid points
-        // It returns false for shitty points.
-        // https://eprint.iacr.org/2021/1130.pdf
-        // Older version: https://eprint.iacr.org/2019/814.pdf
-        isTorsionFree: (c, P) => {
-            return P.multiplyUnsafe(BLS_X).negate().equals(G2psi(c, P)); // ψ(P) == [u](P)
-        },
-        // Maps the point into the prime-order subgroup G2.
-        // clear_cofactor_bls12381_g2 from RFC 9380.
-        // https://eprint.iacr.org/2017/419.pdf
-        // prettier-ignore
-        clearCofactor: (c, P) => {
-            const x = BLS_X;
-            let t1 = P.multiplyUnsafe(x).negate(); // [-x]P
-            let t2 = G2psi(c, P); // Ψ(P)
-            let t3 = P.double(); // 2P
-            t3 = G2psi2(c, t3); // Ψ²(2P)
-            t3 = t3.subtract(t2); // Ψ²(2P) - Ψ(P)
-            t2 = t1.add(t2); // [-x]P + Ψ(P)
-            t2 = t2.multiplyUnsafe(x).negate(); // [x²]P - [x]Ψ(P)
-            t3 = t3.add(t2); // Ψ²(2P) - Ψ(P) + [x²]P - [x]Ψ(P)
-            t3 = t3.subtract(t1); // Ψ²(2P) - Ψ(P) + [x²]P - [x]Ψ(P) + [x]P
-            const Q = t3.subtract(P); // Ψ²(2P) - Ψ(P) + [x²]P - [x]Ψ(P) + [x]P - 1P
-            return Q; // [x²-x-1]P + [x-1]Ψ(P) + Ψ²(2P)
-        },
-        fromBytes: pointG2FromBytes,
-        toBytes: pointG2ToBytes,
-        Signature: {
-            fromBytes(bytes) {
-                abytes(bytes);
-                return signatureG2FromBytes(bytes);
-            },
-            fromHex(hex) {
-                return signatureG2FromBytes(hex);
-            },
-            toBytes(point) {
-                return signatureG2ToBytes(point);
-            },
-            toRawBytes(point) {
-                return signatureG2ToBytes(point);
-            },
-            toHex(point) {
-                return bytesToHex(signatureG2ToBytes(point));
-            },
-        },
-    },
-    params: {
-        ateLoopSize: BLS_X, // The BLS parameter x for BLS12-381
-        r: bls12_381_CURVE_G1.n, // order; z⁴ − z² + 1; CURVE.n from other curves
-        xNegative: true,
-        twistType: 'multiplicative',
-    },
-    htfDefaults,
-    hash: sha256,
-});
-// 3-isogeny map from E' to E https://www.rfc-editor.org/rfc/rfc9380#appendix-E.3
-const isogenyMapG2 = isogenyMap(Fp2, [
-    // xNum
-    [
-        [
-            '0x5c759507e8e333ebb5b7a9a47d7ed8532c52d39fd3a042a88b58423c50ae15d5c2638e343d9c71c6238aaaaaaaa97d6',
-            '0x5c759507e8e333ebb5b7a9a47d7ed8532c52d39fd3a042a88b58423c50ae15d5c2638e343d9c71c6238aaaaaaaa97d6',
-        ],
-        [
-            '0x0',
-            '0x11560bf17baa99bc32126fced787c88f984f87adf7ae0c7f9a208c6b4f20a4181472aaa9cb8d555526a9ffffffffc71a',
-        ],
-        [
-            '0x11560bf17baa99bc32126fced787c88f984f87adf7ae0c7f9a208c6b4f20a4181472aaa9cb8d555526a9ffffffffc71e',
-            '0x8ab05f8bdd54cde190937e76bc3e447cc27c3d6fbd7063fcd104635a790520c0a395554e5c6aaaa9354ffffffffe38d',
-        ],
-        [
-            '0x171d6541fa38ccfaed6dea691f5fb614cb14b4e7f4e810aa22d6108f142b85757098e38d0f671c7188e2aaaaaaaa5ed1',
-            '0x0',
-        ],
-    ],
-    // xDen
-    [
-        [
-            '0x0',
-            '0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaa63',
-        ],
-        [
-            '0xc',
-            '0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaa9f',
-        ],
-        ['0x1', '0x0'], // LAST 1
-    ],
-    // yNum
-    [
-        [
-            '0x1530477c7ab4113b59a4c18b076d11930f7da5d4a07f649bf54439d87d27e500fc8c25ebf8c92f6812cfc71c71c6d706',
-            '0x1530477c7ab4113b59a4c18b076d11930f7da5d4a07f649bf54439d87d27e500fc8c25ebf8c92f6812cfc71c71c6d706',
-        ],
-        [
-            '0x0',
-            '0x5c759507e8e333ebb5b7a9a47d7ed8532c52d39fd3a042a88b58423c50ae15d5c2638e343d9c71c6238aaaaaaaa97be',
-        ],
-        [
-            '0x11560bf17baa99bc32126fced787c88f984f87adf7ae0c7f9a208c6b4f20a4181472aaa9cb8d555526a9ffffffffc71c',
-            '0x8ab05f8bdd54cde190937e76bc3e447cc27c3d6fbd7063fcd104635a790520c0a395554e5c6aaaa9354ffffffffe38f',
-        ],
-        [
-            '0x124c9ad43b6cf79bfbf7043de3811ad0761b0f37a1e26286b0e977c69aa274524e79097a56dc4bd9e1b371c71c718b10',
-            '0x0',
-        ],
-    ],
-    // yDen
-    [
-        [
-            '0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffa8fb',
-            '0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffa8fb',
-        ],
-        [
-            '0x0',
-            '0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffa9d3',
-        ],
-        [
-            '0x12',
-            '0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaa99',
-        ],
-        ['0x1', '0x0'], // LAST 1
-    ],
-].map((i) => i.map((pair) => Fp2.fromBigTuple(pair.map(BigInt)))));
-// 11-isogeny map from E' to E
-const isogenyMapG1 = isogenyMap(Fp, [
-    // xNum
-    [
-        '0x11a05f2b1e833340b809101dd99815856b303e88a2d7005ff2627b56cdb4e2c85610c2d5f2e62d6eaeac1662734649b7',
-        '0x17294ed3e943ab2f0588bab22147a81c7c17e75b2f6a8417f565e33c70d1e86b4838f2a6f318c356e834eef1b3cb83bb',
-        '0xd54005db97678ec1d1048c5d10a9a1bce032473295983e56878e501ec68e25c958c3e3d2a09729fe0179f9dac9edcb0',
-        '0x1778e7166fcc6db74e0609d307e55412d7f5e4656a8dbf25f1b33289f1b330835336e25ce3107193c5b388641d9b6861',
-        '0xe99726a3199f4436642b4b3e4118e5499db995a1257fb3f086eeb65982fac18985a286f301e77c451154ce9ac8895d9',
-        '0x1630c3250d7313ff01d1201bf7a74ab5db3cb17dd952799b9ed3ab9097e68f90a0870d2dcae73d19cd13c1c66f652983',
-        '0xd6ed6553fe44d296a3726c38ae652bfb11586264f0f8ce19008e218f9c86b2a8da25128c1052ecaddd7f225a139ed84',
-        '0x17b81e7701abdbe2e8743884d1117e53356de5ab275b4db1a682c62ef0f2753339b7c8f8c8f475af9ccb5618e3f0c88e',
-        '0x80d3cf1f9a78fc47b90b33563be990dc43b756ce79f5574a2c596c928c5d1de4fa295f296b74e956d71986a8497e317',
-        '0x169b1f8e1bcfa7c42e0c37515d138f22dd2ecb803a0c5c99676314baf4bb1b7fa3190b2edc0327797f241067be390c9e',
-        '0x10321da079ce07e272d8ec09d2565b0dfa7dccdde6787f96d50af36003b14866f69b771f8c285decca67df3f1605fb7b',
-        '0x6e08c248e260e70bd1e962381edee3d31d79d7e22c837bc23c0bf1bc24c6b68c24b1b80b64d391fa9c8ba2e8ba2d229',
-    ],
-    // xDen
-    [
-        '0x8ca8d548cff19ae18b2e62f4bd3fa6f01d5ef4ba35b48ba9c9588617fc8ac62b558d681be343df8993cf9fa40d21b1c',
-        '0x12561a5deb559c4348b4711298e536367041e8ca0cf0800c0126c2588c48bf5713daa8846cb026e9e5c8276ec82b3bff',
-        '0xb2962fe57a3225e8137e629bff2991f6f89416f5a718cd1fca64e00b11aceacd6a3d0967c94fedcfcc239ba5cb83e19',
-        '0x3425581a58ae2fec83aafef7c40eb545b08243f16b1655154cca8abc28d6fd04976d5243eecf5c4130de8938dc62cd8',
-        '0x13a8e162022914a80a6f1d5f43e7a07dffdfc759a12062bb8d6b44e833b306da9bd29ba81f35781d539d395b3532a21e',
-        '0xe7355f8e4e667b955390f7f0506c6e9395735e9ce9cad4d0a43bcef24b8982f7400d24bc4228f11c02df9a29f6304a5',
-        '0x772caacf16936190f3e0c63e0596721570f5799af53a1894e2e073062aede9cea73b3538f0de06cec2574496ee84a3a',
-        '0x14a7ac2a9d64a8b230b3f5b074cf01996e7f63c21bca68a81996e1cdf9822c580fa5b9489d11e2d311f7d99bbdcc5a5e',
-        '0xa10ecf6ada54f825e920b3dafc7a3cce07f8d1d7161366b74100da67f39883503826692abba43704776ec3a79a1d641',
-        '0x95fc13ab9e92ad4476d6e3eb3a56680f682b4ee96f7d03776df533978f31c1593174e4b4b7865002d6384d168ecdd0a',
-        '0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001', // LAST 1
-    ],
-    // yNum
-    [
-        '0x90d97c81ba24ee0259d1f094980dcfa11ad138e48a869522b52af6c956543d3cd0c7aee9b3ba3c2be9845719707bb33',
-        '0x134996a104ee5811d51036d776fb46831223e96c254f383d0f906343eb67ad34d6c56711962fa8bfe097e75a2e41c696',
-        '0xcc786baa966e66f4a384c86a3b49942552e2d658a31ce2c344be4b91400da7d26d521628b00523b8dfe240c72de1f6',
-        '0x1f86376e8981c217898751ad8746757d42aa7b90eeb791c09e4a3ec03251cf9de405aba9ec61deca6355c77b0e5f4cb',
-        '0x8cc03fdefe0ff135caf4fe2a21529c4195536fbe3ce50b879833fd221351adc2ee7f8dc099040a841b6daecf2e8fedb',
-        '0x16603fca40634b6a2211e11db8f0a6a074a7d0d4afadb7bd76505c3d3ad5544e203f6326c95a807299b23ab13633a5f0',
-        '0x4ab0b9bcfac1bbcb2c977d027796b3ce75bb8ca2be184cb5231413c4d634f3747a87ac2460f415ec961f8855fe9d6f2',
-        '0x987c8d5333ab86fde9926bd2ca6c674170a05bfe3bdd81ffd038da6c26c842642f64550fedfe935a15e4ca31870fb29',
-        '0x9fc4018bd96684be88c9e221e4da1bb8f3abd16679dc26c1e8b6e6a1f20cabe69d65201c78607a360370e577bdba587',
-        '0xe1bba7a1186bdb5223abde7ada14a23c42a0ca7915af6fe06985e7ed1e4d43b9b3f7055dd4eba6f2bafaaebca731c30',
-        '0x19713e47937cd1be0dfd0b8f1d43fb93cd2fcbcb6caf493fd1183e416389e61031bf3a5cce3fbafce813711ad011c132',
-        '0x18b46a908f36f6deb918c143fed2edcc523559b8aaf0c2462e6bfe7f911f643249d9cdf41b44d606ce07c8a4d0074d8e',
-        '0xb182cac101b9399d155096004f53f447aa7b12a3426b08ec02710e807b4633f06c851c1919211f20d4c04f00b971ef8',
-        '0x245a394ad1eca9b72fc00ae7be315dc757b3b080d4c158013e6632d3c40659cc6cf90ad1c232a6442d9d3f5db980133',
-        '0x5c129645e44cf1102a159f748c4a3fc5e673d81d7e86568d9ab0f5d396a7ce46ba1049b6579afb7866b1e715475224b',
-        '0x15e6be4e990f03ce4ea50b3b42df2eb5cb181d8f84965a3957add4fa95af01b2b665027efec01c7704b456be69c8b604',
-    ],
-    // yDen
-    [
-        '0x16112c4c3a9c98b252181140fad0eae9601a6de578980be6eec3232b5be72e7a07f3688ef60c206d01479253b03663c1',
-        '0x1962d75c2381201e1a0cbd6c43c348b885c84ff731c4d59ca4a10356f453e01f78a4260763529e3532f6102c2e49a03d',
-        '0x58df3306640da276faaae7d6e8eb15778c4855551ae7f310c35a5dd279cd2eca6757cd636f96f891e2538b53dbf67f2',
-        '0x16b7d288798e5395f20d23bf89edb4d1d115c5dbddbcd30e123da489e726af41727364f2c28297ada8d26d98445f5416',
-        '0xbe0e079545f43e4b00cc912f8228ddcc6d19c9f0f69bbb0542eda0fc9dec916a20b15dc0fd2ededda39142311a5001d',
-        '0x8d9e5297186db2d9fb266eaac783182b70152c65550d881c5ecd87b6f0f5a6449f38db9dfa9cce202c6477faaf9b7ac',
-        '0x166007c08a99db2fc3ba8734ace9824b5eecfdfa8d0cf8ef5dd365bc400a0051d5fa9c01a58b1fb93d1a1399126a775c',
-        '0x16a3ef08be3ea7ea03bcddfabba6ff6ee5a4375efa1f4fd7feb34fd206357132b920f5b00801dee460ee415a15812ed9',
-        '0x1866c8ed336c61231a1be54fd1d74cc4f9fb0ce4c6af5920abc5750c4bf39b4852cfe2f7bb9248836b233d9d55535d4a',
-        '0x167a55cda70a6e1cea820597d94a84903216f763e13d87bb5308592e7ea7d4fbc7385ea3d529b35e346ef48bb8913f55',
-        '0x4d2f259eea405bd48f010a01ad2911d9c6dd039bb61a6290e591b36e636a5c871a5c29f4f83060400f8b49cba8f6aa8',
-        '0xaccbb67481d033ff5852c1e48c50c477f94ff8aefce42d28c0f9a88cea7913516f968986f7ebbea9684b529e2561092',
-        '0xad6b9514c767fe3c3613144b45f1496543346d98adf02267d5ceef9a00d9b8693000763e3b90ac11e99b138573345cc',
-        '0x2660400eb2e4f3b628bdd0d53cd76f2bf565b94e72927c1cb748df27942480e420517bd8714cc80d1fadc1326ed06f7',
-        '0xe0fa1d816ddc03e6b24255e0d7819c171c40f65e273b853324efcd6356caa205ca2f570f13497804415473a1d634b8f',
-        '0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001', // LAST 1
-    ],
-].map((i) => i.map((j) => BigInt(j))));
-// Optimized SWU Map - Fp to G1
-const G1_SWU = mapToCurveSimpleSWU(Fp, {
-    A: Fp.create(BigInt('0x144698a3b8e9433d693a02c96d4982b0ea985383ee66a8d8e8981aefd881ac98936f8da0e0f97f5cf428082d584c1d')),
-    B: Fp.create(BigInt('0x12e2908d11688030018b12e8753eee3b2016c1f0f24f4070a0b9c14fcef35ef55a23215a316ceaa5d1cc48e98e172be0')),
-    Z: Fp.create(BigInt(11)),
-});
-// SWU Map - Fp2 to G2': y² = x³ + 240i * x + 1012 + 1012i
-const G2_SWU = mapToCurveSimpleSWU(Fp2, {
-    A: Fp2.create({ c0: Fp.create(_0n), c1: Fp.create(BigInt(240)) }), // A' = 240 * I
-    B: Fp2.create({ c0: Fp.create(BigInt(1012)), c1: Fp.create(BigInt(1012)) }), // B' = 1012 * (1 + I)
-    Z: Fp2.create({ c0: Fp.create(BigInt(-2)), c1: Fp.create(BigInt(-1)) }), // Z: -(2 + I)
-});
-function mapToG1(scalars) {
-    const { x, y } = G1_SWU(Fp.create(scalars[0]));
-    return isogenyMapG1(x, y);
-}
-function mapToG2(scalars) {
-    const { x, y } = G2_SWU(Fp2.fromBigTuple(scalars));
-    return isogenyMapG2(x, y);
-}
-//# sourceMappingURL=bls12-381.js.map

esm/bls12-381.js.map

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esm/bn254.d.ts

-import { type CurveFn as BLSCurveFn, type PostPrecomputeFn } from './abstract/bls.ts';
-import { type IField } from './abstract/modular.ts';
-import { type CurveFn } from './abstract/weierstrass.ts';
-export declare const bn254_Fr: IField<bigint>;
-export declare const _postPrecompute: PostPrecomputeFn;
-/**
- * bn254 (a.k.a. alt_bn128) pairing-friendly curve.
- * Contains G1 / G2 operations and pairings.
- */
-export declare const bn254: BLSCurveFn;
-/**
- * bn254 weierstrass curve with ECDSA.
- * This is very rare and probably not used anywhere.
- * Instead, you should use G1 / G2, defined above.
- * @deprecated
- */
-export declare const bn254_weierstrass: CurveFn;
-//# sourceMappingURL=bn254.d.ts.map

esm/bn254.d.ts.map

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esm/bn254.js

-/**
- * bn254, previously known as alt_bn_128, when it had 128-bit security.
-
-Barbulescu-Duquesne 2017 shown it's weaker: just about 100 bits,
-so the naming has been adjusted to its prime bit count:
-https://hal.science/hal-01534101/file/main.pdf.
-Compatible with EIP-196 and EIP-197.
-
-There are huge compatibility issues in the ecosystem:
-
-1. Different libraries call it in different ways: "bn254", "bn256", "alt_bn128", "bn128".
-2. libff has bn128, but it's a different curve with different G2:
-   https://github.com/scipr-lab/libff/blob/a44f482e18b8ac04d034c193bd9d7df7817ad73f/libff/algebra/curves/bn128/bn128_init.cpp#L166-L169
-3. halo2curves bn256 is also incompatible and returns different outputs
-
-We don't implement Point methods toHex / toBytes.
-To work around this limitation, has to initialize points on their own from BigInts.
-Reason it's not implemented is because [there is no standard](https://github.com/privacy-scaling-explorations/halo2curves/issues/109).
-Points of divergence:
-
-- Endianness: LE vs BE (byte-swapped)
-- Flags as first hex bits (similar to BLS) vs no-flags
-- Imaginary part last in G2 vs first (c0, c1 vs c1, c0)
-
-The goal of our implementation is to support "Ethereum" variant of the curve,
-because it at least has specs:
-
-- EIP196 (https://eips.ethereum.org/EIPS/eip-196) describes bn254 ECADD and ECMUL opcodes for EVM
-- EIP197 (https://eips.ethereum.org/EIPS/eip-197) describes bn254 pairings
-- It's hard: EIPs don't have proper tests. EIP-197 returns boolean output instead of Fp12
-- The existing implementations are bad. Some are deprecated:
-    - https://github.com/paritytech/bn (old version)
-    - https://github.com/ewasm/ethereum-bn128.rs (uses paritytech/bn)
-    - https://github.com/zcash-hackworks/bn
-    - https://github.com/arkworks-rs/curves/blob/master/bn254/src/lib.rs
-- Python implementations use different towers and produce different Fp12 outputs:
-    - https://github.com/ethereum/py_pairing
-    - https://github.com/ethereum/execution-specs/blob/master/src/ethereum/crypto/alt_bn128.py
-- Points are encoded differently in different implementations
-
-### Params
-Seed (X): 4965661367192848881
-Fr: (36x⁴+36x³+18x²+6x+1)
-Fp: (36x⁴+36x³+24x²+6x+1)
-(E  / Fp ): Y² = X³+3
-(Et / Fp²): Y² = X³+3/(u+9) (D-type twist)
-Ate loop size: 6x+2
-
-### Towers
-- Fp²[u] = Fp/u²+1
-- Fp⁶[v] = Fp²/v³-9-u
-- Fp¹²[w] = Fp⁶/w²-v
-
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { sha256 } from '@noble/hashes/sha2.js';
-import { bls, } from "./abstract/bls.js";
-import { Field } from "./abstract/modular.js";
-import { psiFrobenius, tower12 } from "./abstract/tower.js";
-import { weierstrass } from "./abstract/weierstrass.js";
-import { bitLen, notImplemented } from "./utils.js";
-// prettier-ignore
-const _0n = BigInt(0), _1n = BigInt(1), _2n = BigInt(2), _3n = BigInt(3);
-const _6n = BigInt(6);
-const BN_X = BigInt('4965661367192848881');
-const BN_X_LEN = bitLen(BN_X);
-const SIX_X_SQUARED = _6n * BN_X ** _2n;
-const bn254_G1_CURVE = {
-    p: BigInt('0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47'),
-    n: BigInt('0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001'),
-    h: _1n,
-    a: _0n,
-    b: _3n,
-    Gx: _1n,
-    Gy: BigInt(2),
-};
-// r == n
-// Finite field over r. It's for convenience and is not used in the code below.
-export const bn254_Fr = Field(bn254_G1_CURVE.n);
-// Fp2.div(Fp2.mul(Fp2.ONE, _3n), Fp2.NONRESIDUE)
-const Fp2B = {
-    c0: BigInt('19485874751759354771024239261021720505790618469301721065564631296452457478373'),
-    c1: BigInt('266929791119991161246907387137283842545076965332900288569378510910307636690'),
-};
-const { Fp, Fp2, Fp6, Fp12 } = tower12({
-    ORDER: bn254_G1_CURVE.p,
-    X_LEN: BN_X_LEN,
-    FP2_NONRESIDUE: [BigInt(9), _1n],
-    Fp2mulByB: (num) => Fp2.mul(num, Fp2B),
-    Fp12finalExponentiate: (num) => {
-        const powMinusX = (num) => Fp12.conjugate(Fp12._cyclotomicExp(num, BN_X));
-        const r0 = Fp12.mul(Fp12.conjugate(num), Fp12.inv(num));
-        const r = Fp12.mul(Fp12.frobeniusMap(r0, 2), r0);
-        const y1 = Fp12._cyclotomicSquare(powMinusX(r));
-        const y2 = Fp12.mul(Fp12._cyclotomicSquare(y1), y1);
-        const y4 = powMinusX(y2);
-        const y6 = powMinusX(Fp12._cyclotomicSquare(y4));
-        const y8 = Fp12.mul(Fp12.mul(Fp12.conjugate(y6), y4), Fp12.conjugate(y2));
-        const y9 = Fp12.mul(y8, y1);
-        return Fp12.mul(Fp12.frobeniusMap(Fp12.mul(Fp12.conjugate(r), y9), 3), Fp12.mul(Fp12.frobeniusMap(y8, 2), Fp12.mul(Fp12.frobeniusMap(y9, 1), Fp12.mul(Fp12.mul(y8, y4), r))));
-    },
-});
-// END OF CURVE FIELDS
-const { G2psi, psi } = psiFrobenius(Fp, Fp2, Fp2.NONRESIDUE);
-/*
-No hashToCurve for now (and signatures):
-
-- RFC 9380 doesn't mention bn254 and doesn't provide test vectors
-- Overall seems like nobody is using BLS signatures on top of bn254
-- Seems like it can utilize SVDW, which is not implemented yet
-*/
-const htfDefaults = Object.freeze({
-    // DST: a domain separation tag defined in section 2.2.5
-    DST: 'BN254G2_XMD:SHA-256_SVDW_RO_',
-    encodeDST: 'BN254G2_XMD:SHA-256_SVDW_RO_',
-    p: Fp.ORDER,
-    m: 2,
-    k: 128,
-    expand: 'xmd',
-    hash: sha256,
-});
-export const _postPrecompute = (Rx, Ry, Rz, Qx, Qy, pointAdd) => {
-    const q = psi(Qx, Qy);
-    ({ Rx, Ry, Rz } = pointAdd(Rx, Ry, Rz, q[0], q[1]));
-    const q2 = psi(q[0], q[1]);
-    pointAdd(Rx, Ry, Rz, q2[0], Fp2.neg(q2[1]));
-};
-// cofactor: (36 * X^4) + (36 * X^3) + (30 * X^2) + 6*X + 1
-const bn254_G2_CURVE = {
-    p: Fp2.ORDER,
-    n: bn254_G1_CURVE.n,
-    h: BigInt('0x30644e72e131a029b85045b68181585e06ceecda572a2489345f2299c0f9fa8d'),
-    a: Fp2.ZERO,
-    b: Fp2B,
-    Gx: Fp2.fromBigTuple([
-        BigInt('10857046999023057135944570762232829481370756359578518086990519993285655852781'),
-        BigInt('11559732032986387107991004021392285783925812861821192530917403151452391805634'),
-    ]),
-    Gy: Fp2.fromBigTuple([
-        BigInt('8495653923123431417604973247489272438418190587263600148770280649306958101930'),
-        BigInt('4082367875863433681332203403145435568316851327593401208105741076214120093531'),
-    ]),
-};
-/**
- * bn254 (a.k.a. alt_bn128) pairing-friendly curve.
- * Contains G1 / G2 operations and pairings.
- */
-export const bn254 = bls({
-    // Fields
-    fields: { Fp, Fp2, Fp6, Fp12, Fr: bn254_Fr },
-    G1: {
-        ...bn254_G1_CURVE,
-        Fp,
-        htfDefaults: { ...htfDefaults, m: 1, DST: 'BN254G2_XMD:SHA-256_SVDW_RO_' },
-        wrapPrivateKey: true,
-        allowInfinityPoint: true,
-        mapToCurve: notImplemented,
-        fromBytes: notImplemented,
-        toBytes: notImplemented,
-        ShortSignature: {
-            fromBytes: notImplemented,
-            fromHex: notImplemented,
-            toBytes: notImplemented,
-            toRawBytes: notImplemented,
-            toHex: notImplemented,
-        },
-    },
-    G2: {
-        ...bn254_G2_CURVE,
-        Fp: Fp2,
-        hEff: BigInt('21888242871839275222246405745257275088844257914179612981679871602714643921549'),
-        htfDefaults: { ...htfDefaults },
-        wrapPrivateKey: true,
-        allowInfinityPoint: true,
-        isTorsionFree: (c, P) => P.multiplyUnsafe(SIX_X_SQUARED).equals(G2psi(c, P)), // [p]P = [6X^2]P
-        mapToCurve: notImplemented,
-        fromBytes: notImplemented,
-        toBytes: notImplemented,
-        Signature: {
-            fromBytes: notImplemented,
-            fromHex: notImplemented,
-            toBytes: notImplemented,
-            toRawBytes: notImplemented,
-            toHex: notImplemented,
-        },
-    },
-    params: {
-        ateLoopSize: BN_X * _6n + _2n,
-        r: bn254_Fr.ORDER,
-        xNegative: false,
-        twistType: 'divisive',
-    },
-    htfDefaults,
-    hash: sha256,
-    postPrecompute: _postPrecompute,
-});
-/**
- * bn254 weierstrass curve with ECDSA.
- * This is very rare and probably not used anywhere.
- * Instead, you should use G1 / G2, defined above.
- * @deprecated
- */
-export const bn254_weierstrass = weierstrass({
-    a: BigInt(0),
-    b: BigInt(3),
-    Fp,
-    n: BigInt('21888242871839275222246405745257275088548364400416034343698204186575808495617'),
-    Gx: BigInt(1),
-    Gy: BigInt(2),
-    h: BigInt(1),
-    hash: sha256,
-});
-//# sourceMappingURL=bn254.js.map

esm/bn254.js.map

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esm/ed25519.d.ts

-import { type AffinePoint } from './abstract/curve.ts';
-import { PrimeEdwardsPoint, type CurveFn, type EdwardsPoint } from './abstract/edwards.ts';
-import { type H2CHasher, type H2CHasherBase, type H2CMethod, type htfBasicOpts } from './abstract/hash-to-curve.ts';
-import { type IField } from './abstract/modular.ts';
-import { type MontgomeryECDH as XCurveFn } from './abstract/montgomery.ts';
-import { type Hex } from './utils.ts';
-/**
- * ed25519 curve with EdDSA signatures.
- * @example
- * import { ed25519 } from '@noble/curves/ed25519';
- * const { secretKey, publicKey } = ed25519.keygen();
- * const msg = new TextEncoder().encode('hello');
- * const sig = ed25519.sign(msg, priv);
- * ed25519.verify(sig, msg, pub); // Default mode: follows ZIP215
- * ed25519.verify(sig, msg, pub, { zip215: false }); // RFC8032 / FIPS 186-5
- */
-export declare const ed25519: CurveFn;
-/** Context of ed25519. Uses context for domain separation. */
-export declare const ed25519ctx: CurveFn;
-/** Prehashed version of ed25519. Accepts already-hashed messages in sign() and verify(). */
-export declare const ed25519ph: CurveFn;
-/**
- * ECDH using curve25519 aka x25519.
- * @example
- * import { x25519 } from '@noble/curves/ed25519';
- * const priv = 'a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4';
- * const pub = 'e6db6867583030db3594c1a424b15f7c726624ec26b3353b10a903a6d0ab1c4c';
- * x25519.getSharedSecret(priv, pub) === x25519.scalarMult(priv, pub); // aliases
- * x25519.getPublicKey(priv) === x25519.scalarMultBase(priv);
- * x25519.getPublicKey(x25519.utils.randomSecretKey());
- */
-export declare const x25519: XCurveFn;
-/** Hashing to ed25519 points / field. RFC 9380 methods. */
-export declare const ed25519_hasher: H2CHasher<bigint>;
-type ExtendedPoint = EdwardsPoint;
-/**
- * Wrapper over Edwards Point for ristretto255.
- *
- * Each ed25519/ExtendedPoint has 8 different equivalent points. This can be
- * a source of bugs for protocols like ring signatures. Ristretto was created to solve this.
- * Ristretto point operates in X:Y:Z:T extended coordinates like ExtendedPoint,
- * but it should work in its own namespace: do not combine those two.
- * See [RFC9496](https://www.rfc-editor.org/rfc/rfc9496).
- */
-declare class _RistrettoPoint extends PrimeEdwardsPoint<_RistrettoPoint> {
-    static BASE: _RistrettoPoint;
-    static ZERO: _RistrettoPoint;
-    static Fp: IField<bigint>;
-    static Fn: IField<bigint>;
-    constructor(ep: ExtendedPoint);
-    static fromAffine(ap: AffinePoint<bigint>): _RistrettoPoint;
-    protected assertSame(other: _RistrettoPoint): void;
-    protected init(ep: EdwardsPoint): _RistrettoPoint;
-    /** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */
-    static hashToCurve(hex: Hex): _RistrettoPoint;
-    static fromBytes(bytes: Uint8Array): _RistrettoPoint;
-    /**
-     * Converts ristretto-encoded string to ristretto point.
-     * Described in [RFC9496](https://www.rfc-editor.org/rfc/rfc9496#name-decode).
-     * @param hex Ristretto-encoded 32 bytes. Not every 32-byte string is valid ristretto encoding
-     */
-    static fromHex(hex: Hex): _RistrettoPoint;
-    static msm(points: _RistrettoPoint[], scalars: bigint[]): _RistrettoPoint;
-    /**
-     * Encodes ristretto point to Uint8Array.
-     * Described in [RFC9496](https://www.rfc-editor.org/rfc/rfc9496#name-encode).
-     */
-    toBytes(): Uint8Array;
-    /**
-     * Compares two Ristretto points.
-     * Described in [RFC9496](https://www.rfc-editor.org/rfc/rfc9496#name-equals).
-     */
-    equals(other: _RistrettoPoint): boolean;
-    is0(): boolean;
-}
-export declare const ristretto255: {
-    Point: typeof _RistrettoPoint;
-};
-/** Hashing to ristretto255 points / field. RFC 9380 methods. */
-export declare const ristretto255_hasher: H2CHasherBase<bigint>;
-/**
- * Weird / bogus points, useful for debugging.
- * All 8 ed25519 points of 8-torsion subgroup can be generated from the point
- * T = `26e8958fc2b227b045c3f489f2ef98f0d5dfac05d3c63339b13802886d53fc05`.
- * ⟨T⟩ = { O, T, 2T, 3T, 4T, 5T, 6T, 7T }
- */
-export declare const ED25519_TORSION_SUBGROUP: string[];
-/** @deprecated use `ed25519.utils.toMontgomery` */
-export declare function edwardsToMontgomeryPub(edwardsPub: Hex): Uint8Array;
-/** @deprecated use `ed25519.utils.toMontgomery` */
-export declare const edwardsToMontgomery: typeof edwardsToMontgomeryPub;
-/** @deprecated use `ed25519.utils.toMontgomeryPriv` */
-export declare function edwardsToMontgomeryPriv(edwardsPriv: Uint8Array): Uint8Array;
-/** @deprecated use `ristretto255.Point` */
-export declare const RistrettoPoint: typeof _RistrettoPoint;
-/** @deprecated use `import { ed25519_hasher } from '@noble/curves/ed25519.js';` */
-export declare const hashToCurve: H2CMethod<bigint>;
-/** @deprecated use `import { ed25519_hasher } from '@noble/curves/ed25519.js';` */
-export declare const encodeToCurve: H2CMethod<bigint>;
-type RistHasher = (msg: Uint8Array, options: htfBasicOpts) => _RistrettoPoint;
-/** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */
-export declare const hashToRistretto255: RistHasher;
-/** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */
-export declare const hash_to_ristretto255: RistHasher;
-export {};
-//# sourceMappingURL=ed25519.d.ts.map

esm/ed25519.d.ts.map

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esm/ed25519.js

-/**
- * ed25519 Twisted Edwards curve with following addons:
- * - X25519 ECDH
- * - Ristretto cofactor elimination
- * - Elligator hash-to-group / point indistinguishability
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { sha512 } from '@noble/hashes/sha2.js';
-import { abytes, concatBytes, utf8ToBytes } from '@noble/hashes/utils.js';
-import { pippenger } from "./abstract/curve.js";
-import { PrimeEdwardsPoint, twistedEdwards, } from "./abstract/edwards.js";
-import { _DST_scalar, createHasher, expand_message_xmd, } from "./abstract/hash-to-curve.js";
-import { Field, FpInvertBatch, FpSqrtEven, isNegativeLE, mod, pow2, } from "./abstract/modular.js";
-import { montgomery } from "./abstract/montgomery.js";
-import { bytesToNumberLE, ensureBytes, equalBytes } from "./utils.js";
-// prettier-ignore
-const _0n = /* @__PURE__ */ BigInt(0), _1n = BigInt(1), _2n = BigInt(2), _3n = BigInt(3);
-// prettier-ignore
-const _5n = BigInt(5), _8n = BigInt(8);
-// P = 2n**255n-19n
-const ed25519_CURVE_p = BigInt('0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed');
-// N = 2n**252n + 27742317777372353535851937790883648493n
-// a = Fp.create(BigInt(-1))
-// d = -121665/121666 a.k.a. Fp.neg(121665 * Fp.inv(121666))
-const ed25519_CURVE = /* @__PURE__ */ (() => ({
-    p: ed25519_CURVE_p,
-    n: BigInt('0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed'),
-    h: _8n,
-    a: BigInt('0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffec'),
-    d: BigInt('0x52036cee2b6ffe738cc740797779e89800700a4d4141d8ab75eb4dca135978a3'),
-    Gx: BigInt('0x216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a'),
-    Gy: BigInt('0x6666666666666666666666666666666666666666666666666666666666666658'),
-}))();
-function ed25519_pow_2_252_3(x) {
-    // prettier-ignore
-    const _10n = BigInt(10), _20n = BigInt(20), _40n = BigInt(40), _80n = BigInt(80);
-    const P = ed25519_CURVE_p;
-    const x2 = (x * x) % P;
-    const b2 = (x2 * x) % P; // x^3, 11
-    const b4 = (pow2(b2, _2n, P) * b2) % P; // x^15, 1111
-    const b5 = (pow2(b4, _1n, P) * x) % P; // x^31
-    const b10 = (pow2(b5, _5n, P) * b5) % P;
-    const b20 = (pow2(b10, _10n, P) * b10) % P;
-    const b40 = (pow2(b20, _20n, P) * b20) % P;
-    const b80 = (pow2(b40, _40n, P) * b40) % P;
-    const b160 = (pow2(b80, _80n, P) * b80) % P;
-    const b240 = (pow2(b160, _80n, P) * b80) % P;
-    const b250 = (pow2(b240, _10n, P) * b10) % P;
-    const pow_p_5_8 = (pow2(b250, _2n, P) * x) % P;
-    // ^ To pow to (p+3)/8, multiply it by x.
-    return { pow_p_5_8, b2 };
-}
-function adjustScalarBytes(bytes) {
-    // Section 5: For X25519, in order to decode 32 random bytes as an integer scalar,
-    // set the three least significant bits of the first byte
-    bytes[0] &= 248; // 0b1111_1000
-    // and the most significant bit of the last to zero,
-    bytes[31] &= 127; // 0b0111_1111
-    // set the second most significant bit of the last byte to 1
-    bytes[31] |= 64; // 0b0100_0000
-    return bytes;
-}
-// √(-1) aka √(a) aka 2^((p-1)/4)
-// Fp.sqrt(Fp.neg(1))
-const ED25519_SQRT_M1 = /* @__PURE__ */ BigInt('19681161376707505956807079304988542015446066515923890162744021073123829784752');
-// sqrt(u/v)
-function uvRatio(u, v) {
-    const P = ed25519_CURVE_p;
-    const v3 = mod(v * v * v, P); // v³
-    const v7 = mod(v3 * v3 * v, P); // v⁷
-    // (p+3)/8 and (p-5)/8
-    const pow = ed25519_pow_2_252_3(u * v7).pow_p_5_8;
-    let x = mod(u * v3 * pow, P); // (uv³)(uv⁷)^(p-5)/8
-    const vx2 = mod(v * x * x, P); // vx²
-    const root1 = x; // First root candidate
-    const root2 = mod(x * ED25519_SQRT_M1, P); // Second root candidate
-    const useRoot1 = vx2 === u; // If vx² = u (mod p), x is a square root
-    const useRoot2 = vx2 === mod(-u, P); // If vx² = -u, set x <-- x * 2^((p-1)/4)
-    const noRoot = vx2 === mod(-u * ED25519_SQRT_M1, P); // There is no valid root, vx² = -u√(-1)
-    if (useRoot1)
-        x = root1;
-    if (useRoot2 || noRoot)
-        x = root2; // We return root2 anyway, for const-time
-    if (isNegativeLE(x, P))
-        x = mod(-x, P);
-    return { isValid: useRoot1 || useRoot2, value: x };
-}
-const Fp = /* @__PURE__ */ (() => Field(ed25519_CURVE.p, { isLE: true }))();
-const Fn = /* @__PURE__ */ (() => Field(ed25519_CURVE.n, { isLE: true }))();
-const ed25519Defaults = /* @__PURE__ */ (() => ({
-    ...ed25519_CURVE,
-    Fp,
-    hash: sha512,
-    adjustScalarBytes,
-    // dom2
-    // Ratio of u to v. Allows us to combine inversion and square root. Uses algo from RFC8032 5.1.3.
-    // Constant-time, u/√v
-    uvRatio,
-}))();
-/**
- * ed25519 curve with EdDSA signatures.
- * @example
- * import { ed25519 } from '@noble/curves/ed25519';
- * const { secretKey, publicKey } = ed25519.keygen();
- * const msg = new TextEncoder().encode('hello');
- * const sig = ed25519.sign(msg, priv);
- * ed25519.verify(sig, msg, pub); // Default mode: follows ZIP215
- * ed25519.verify(sig, msg, pub, { zip215: false }); // RFC8032 / FIPS 186-5
- */
-export const ed25519 = /* @__PURE__ */ (() => twistedEdwards(ed25519Defaults))();
-function ed25519_domain(data, ctx, phflag) {
-    if (ctx.length > 255)
-        throw new Error('Context is too big');
-    return concatBytes(utf8ToBytes('SigEd25519 no Ed25519 collisions'), new Uint8Array([phflag ? 1 : 0, ctx.length]), ctx, data);
-}
-/** Context of ed25519. Uses context for domain separation. */
-export const ed25519ctx = /* @__PURE__ */ (() => twistedEdwards({
-    ...ed25519Defaults,
-    domain: ed25519_domain,
-}))();
-/** Prehashed version of ed25519. Accepts already-hashed messages in sign() and verify(). */
-export const ed25519ph = /* @__PURE__ */ (() => twistedEdwards(Object.assign({}, ed25519Defaults, {
-    domain: ed25519_domain,
-    prehash: sha512,
-})))();
-/**
- * ECDH using curve25519 aka x25519.
- * @example
- * import { x25519 } from '@noble/curves/ed25519';
- * const priv = 'a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4';
- * const pub = 'e6db6867583030db3594c1a424b15f7c726624ec26b3353b10a903a6d0ab1c4c';
- * x25519.getSharedSecret(priv, pub) === x25519.scalarMult(priv, pub); // aliases
- * x25519.getPublicKey(priv) === x25519.scalarMultBase(priv);
- * x25519.getPublicKey(x25519.utils.randomSecretKey());
- */
-export const x25519 = /* @__PURE__ */ (() => {
-    const P = Fp.ORDER;
-    return montgomery({
-        P,
-        type: 'x25519',
-        powPminus2: (x) => {
-            // x^(p-2) aka x^(2^255-21)
-            const { pow_p_5_8, b2 } = ed25519_pow_2_252_3(x);
-            return mod(pow2(pow_p_5_8, _3n, P) * b2, P);
-        },
-        adjustScalarBytes,
-    });
-})();
-// Hash To Curve Elligator2 Map (NOTE: different from ristretto255 elligator)
-// NOTE: very important part is usage of FpSqrtEven for ELL2_C1_EDWARDS, since
-// SageMath returns different root first and everything falls apart
-const ELL2_C1 = /* @__PURE__ */ (() => (ed25519_CURVE_p + _3n) / _8n)(); // 1. c1 = (q + 3) / 8       # Integer arithmetic
-const ELL2_C2 = /* @__PURE__ */ (() => Fp.pow(_2n, ELL2_C1))(); // 2. c2 = 2^c1
-const ELL2_C3 = /* @__PURE__ */ (() => Fp.sqrt(Fp.neg(Fp.ONE)))(); // 3. c3 = sqrt(-1)
-// prettier-ignore
-function map_to_curve_elligator2_curve25519(u) {
-    const ELL2_C4 = (ed25519_CURVE_p - _5n) / _8n; // 4. c4 = (q - 5) / 8       # Integer arithmetic
-    const ELL2_J = BigInt(486662);
-    let tv1 = Fp.sqr(u); //  1.  tv1 = u^2
-    tv1 = Fp.mul(tv1, _2n); //  2.  tv1 = 2 * tv1
-    let xd = Fp.add(tv1, Fp.ONE); //  3.   xd = tv1 + 1         # Nonzero: -1 is square (mod p), tv1 is not
-    let x1n = Fp.neg(ELL2_J); //  4.  x1n = -J              # x1 = x1n / xd = -J / (1 + 2 * u^2)
-    let tv2 = Fp.sqr(xd); //  5.  tv2 = xd^2
-    let gxd = Fp.mul(tv2, xd); //  6.  gxd = tv2 * xd        # gxd = xd^3
-    let gx1 = Fp.mul(tv1, ELL2_J); //  7.  gx1 = J * tv1         # x1n + J * xd
-    gx1 = Fp.mul(gx1, x1n); //  8.  gx1 = gx1 * x1n       # x1n^2 + J * x1n * xd
-    gx1 = Fp.add(gx1, tv2); //  9.  gx1 = gx1 + tv2       # x1n^2 + J * x1n * xd + xd^2
-    gx1 = Fp.mul(gx1, x1n); //  10. gx1 = gx1 * x1n       # x1n^3 + J * x1n^2 * xd + x1n * xd^2
-    let tv3 = Fp.sqr(gxd); //  11. tv3 = gxd^2
-    tv2 = Fp.sqr(tv3); //  12. tv2 = tv3^2           # gxd^4
-    tv3 = Fp.mul(tv3, gxd); //  13. tv3 = tv3 * gxd       # gxd^3
-    tv3 = Fp.mul(tv3, gx1); //  14. tv3 = tv3 * gx1       # gx1 * gxd^3
-    tv2 = Fp.mul(tv2, tv3); //  15. tv2 = tv2 * tv3       # gx1 * gxd^7
-    let y11 = Fp.pow(tv2, ELL2_C4); //  16. y11 = tv2^c4        # (gx1 * gxd^7)^((p - 5) / 8)
-    y11 = Fp.mul(y11, tv3); //  17. y11 = y11 * tv3       # gx1*gxd^3*(gx1*gxd^7)^((p-5)/8)
-    let y12 = Fp.mul(y11, ELL2_C3); //  18. y12 = y11 * c3
-    tv2 = Fp.sqr(y11); //  19. tv2 = y11^2
-    tv2 = Fp.mul(tv2, gxd); //  20. tv2 = tv2 * gxd
-    let e1 = Fp.eql(tv2, gx1); //  21.  e1 = tv2 == gx1
-    let y1 = Fp.cmov(y12, y11, e1); //  22.  y1 = CMOV(y12, y11, e1)  # If g(x1) is square, this is its sqrt
-    let x2n = Fp.mul(x1n, tv1); //  23. x2n = x1n * tv1       # x2 = x2n / xd = 2 * u^2 * x1n / xd
-    let y21 = Fp.mul(y11, u); //  24. y21 = y11 * u
-    y21 = Fp.mul(y21, ELL2_C2); //  25. y21 = y21 * c2
-    let y22 = Fp.mul(y21, ELL2_C3); //  26. y22 = y21 * c3
-    let gx2 = Fp.mul(gx1, tv1); //  27. gx2 = gx1 * tv1       # g(x2) = gx2 / gxd = 2 * u^2 * g(x1)
-    tv2 = Fp.sqr(y21); //  28. tv2 = y21^2
-    tv2 = Fp.mul(tv2, gxd); //  29. tv2 = tv2 * gxd
-    let e2 = Fp.eql(tv2, gx2); //  30.  e2 = tv2 == gx2
-    let y2 = Fp.cmov(y22, y21, e2); //  31.  y2 = CMOV(y22, y21, e2)  # If g(x2) is square, this is its sqrt
-    tv2 = Fp.sqr(y1); //  32. tv2 = y1^2
-    tv2 = Fp.mul(tv2, gxd); //  33. tv2 = tv2 * gxd
-    let e3 = Fp.eql(tv2, gx1); //  34.  e3 = tv2 == gx1
-    let xn = Fp.cmov(x2n, x1n, e3); //  35.  xn = CMOV(x2n, x1n, e3)  # If e3, x = x1, else x = x2
-    let y = Fp.cmov(y2, y1, e3); //  36.   y = CMOV(y2, y1, e3)    # If e3, y = y1, else y = y2
-    let e4 = Fp.isOdd(y); //  37.  e4 = sgn0(y) == 1        # Fix sign of y
-    y = Fp.cmov(y, Fp.neg(y), e3 !== e4); //  38.   y = CMOV(y, -y, e3 XOR e4)
-    return { xMn: xn, xMd: xd, yMn: y, yMd: _1n }; //  39. return (xn, xd, y, 1)
-}
-const ELL2_C1_EDWARDS = /* @__PURE__ */ (() => FpSqrtEven(Fp, Fp.neg(BigInt(486664))))(); // sgn0(c1) MUST equal 0
-function map_to_curve_elligator2_edwards25519(u) {
-    const { xMn, xMd, yMn, yMd } = map_to_curve_elligator2_curve25519(u); //  1.  (xMn, xMd, yMn, yMd) =
-    // map_to_curve_elligator2_curve25519(u)
-    let xn = Fp.mul(xMn, yMd); //  2.  xn = xMn * yMd
-    xn = Fp.mul(xn, ELL2_C1_EDWARDS); //  3.  xn = xn * c1
-    let xd = Fp.mul(xMd, yMn); //  4.  xd = xMd * yMn    # xn / xd = c1 * xM / yM
-    let yn = Fp.sub(xMn, xMd); //  5.  yn = xMn - xMd
-    let yd = Fp.add(xMn, xMd); //  6.  yd = xMn + xMd    # (n / d - 1) / (n / d + 1) = (n - d) / (n + d)
-    let tv1 = Fp.mul(xd, yd); //  7. tv1 = xd * yd
-    let e = Fp.eql(tv1, Fp.ZERO); //  8.   e = tv1 == 0
-    xn = Fp.cmov(xn, Fp.ZERO, e); //  9.  xn = CMOV(xn, 0, e)
-    xd = Fp.cmov(xd, Fp.ONE, e); //  10. xd = CMOV(xd, 1, e)
-    yn = Fp.cmov(yn, Fp.ONE, e); //  11. yn = CMOV(yn, 1, e)
-    yd = Fp.cmov(yd, Fp.ONE, e); //  12. yd = CMOV(yd, 1, e)
-    const [xd_inv, yd_inv] = FpInvertBatch(Fp, [xd, yd], true); // batch division
-    return { x: Fp.mul(xn, xd_inv), y: Fp.mul(yn, yd_inv) }; //  13. return (xn, xd, yn, yd)
-}
-/** Hashing to ed25519 points / field. RFC 9380 methods. */
-export const ed25519_hasher = /* @__PURE__ */ (() => createHasher(ed25519.Point, (scalars) => map_to_curve_elligator2_edwards25519(scalars[0]), {
-    DST: 'edwards25519_XMD:SHA-512_ELL2_RO_',
-    encodeDST: 'edwards25519_XMD:SHA-512_ELL2_NU_',
-    p: ed25519_CURVE_p,
-    m: 1,
-    k: 128,
-    expand: 'xmd',
-    hash: sha512,
-}))();
-// √(-1) aka √(a) aka 2^((p-1)/4)
-const SQRT_M1 = ED25519_SQRT_M1;
-// √(ad - 1)
-const SQRT_AD_MINUS_ONE = /* @__PURE__ */ BigInt('25063068953384623474111414158702152701244531502492656460079210482610430750235');
-// 1 / √(a-d)
-const INVSQRT_A_MINUS_D = /* @__PURE__ */ BigInt('54469307008909316920995813868745141605393597292927456921205312896311721017578');
-// 1-d²
-const ONE_MINUS_D_SQ = /* @__PURE__ */ BigInt('1159843021668779879193775521855586647937357759715417654439879720876111806838');
-// (d-1)²
-const D_MINUS_ONE_SQ = /* @__PURE__ */ BigInt('40440834346308536858101042469323190826248399146238708352240133220865137265952');
-// Calculates 1/√(number)
-const invertSqrt = (number) => uvRatio(_1n, number);
-const MAX_255B = /* @__PURE__ */ BigInt('0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff');
-const bytes255ToNumberLE = (bytes) => ed25519.Point.Fp.create(bytesToNumberLE(bytes) & MAX_255B);
-/**
- * Computes Elligator map for Ristretto255.
- * Described in [RFC9380](https://www.rfc-editor.org/rfc/rfc9380#appendix-B) and on
- * the [website](https://ristretto.group/formulas/elligator.html).
- */
-function calcElligatorRistrettoMap(r0) {
-    const { d } = ed25519_CURVE;
-    const P = ed25519_CURVE_p;
-    const mod = (n) => Fp.create(n);
-    const r = mod(SQRT_M1 * r0 * r0); // 1
-    const Ns = mod((r + _1n) * ONE_MINUS_D_SQ); // 2
-    let c = BigInt(-1); // 3
-    const D = mod((c - d * r) * mod(r + d)); // 4
-    let { isValid: Ns_D_is_sq, value: s } = uvRatio(Ns, D); // 5
-    let s_ = mod(s * r0); // 6
-    if (!isNegativeLE(s_, P))
-        s_ = mod(-s_);
-    if (!Ns_D_is_sq)
-        s = s_; // 7
-    if (!Ns_D_is_sq)
-        c = r; // 8
-    const Nt = mod(c * (r - _1n) * D_MINUS_ONE_SQ - D); // 9
-    const s2 = s * s;
-    const W0 = mod((s + s) * D); // 10
-    const W1 = mod(Nt * SQRT_AD_MINUS_ONE); // 11
-    const W2 = mod(_1n - s2); // 12
-    const W3 = mod(_1n + s2); // 13
-    return new ed25519.Point(mod(W0 * W3), mod(W2 * W1), mod(W1 * W3), mod(W0 * W2));
-}
-function ristretto255_map(bytes) {
-    abytes(bytes, 64);
-    const r1 = bytes255ToNumberLE(bytes.subarray(0, 32));
-    const R1 = calcElligatorRistrettoMap(r1);
-    const r2 = bytes255ToNumberLE(bytes.subarray(32, 64));
-    const R2 = calcElligatorRistrettoMap(r2);
-    return new _RistrettoPoint(R1.add(R2));
-}
-/**
- * Wrapper over Edwards Point for ristretto255.
- *
- * Each ed25519/ExtendedPoint has 8 different equivalent points. This can be
- * a source of bugs for protocols like ring signatures. Ristretto was created to solve this.
- * Ristretto point operates in X:Y:Z:T extended coordinates like ExtendedPoint,
- * but it should work in its own namespace: do not combine those two.
- * See [RFC9496](https://www.rfc-editor.org/rfc/rfc9496).
- */
-class _RistrettoPoint extends PrimeEdwardsPoint {
-    constructor(ep) {
-        super(ep);
-    }
-    static fromAffine(ap) {
-        return new _RistrettoPoint(ed25519.Point.fromAffine(ap));
-    }
-    assertSame(other) {
-        if (!(other instanceof _RistrettoPoint))
-            throw new Error('RistrettoPoint expected');
-    }
-    init(ep) {
-        return new _RistrettoPoint(ep);
-    }
-    /** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */
-    static hashToCurve(hex) {
-        return ristretto255_map(ensureBytes('ristrettoHash', hex, 64));
-    }
-    static fromBytes(bytes) {
-        abytes(bytes, 32);
-        const { a, d } = ed25519_CURVE;
-        const P = ed25519_CURVE_p;
-        const mod = (n) => Fp.create(n);
-        const s = bytes255ToNumberLE(bytes);
-        // 1. Check that s_bytes is the canonical encoding of a field element, or else abort.
-        // 3. Check that s is non-negative, or else abort
-        if (!equalBytes(Fp.toBytes(s), bytes) || isNegativeLE(s, P))
-            throw new Error('invalid ristretto255 encoding 1');
-        const s2 = mod(s * s);
-        const u1 = mod(_1n + a * s2); // 4 (a is -1)
-        const u2 = mod(_1n - a * s2); // 5
-        const u1_2 = mod(u1 * u1);
-        const u2_2 = mod(u2 * u2);
-        const v = mod(a * d * u1_2 - u2_2); // 6
-        const { isValid, value: I } = invertSqrt(mod(v * u2_2)); // 7
-        const Dx = mod(I * u2); // 8
-        const Dy = mod(I * Dx * v); // 9
-        let x = mod((s + s) * Dx); // 10
-        if (isNegativeLE(x, P))
-            x = mod(-x); // 10
-        const y = mod(u1 * Dy); // 11
-        const t = mod(x * y); // 12
-        if (!isValid || isNegativeLE(t, P) || y === _0n)
-            throw new Error('invalid ristretto255 encoding 2');
-        return new _RistrettoPoint(new ed25519.Point(x, y, _1n, t));
-    }
-    /**
-     * Converts ristretto-encoded string to ristretto point.
-     * Described in [RFC9496](https://www.rfc-editor.org/rfc/rfc9496#name-decode).
-     * @param hex Ristretto-encoded 32 bytes. Not every 32-byte string is valid ristretto encoding
-     */
-    static fromHex(hex) {
-        return _RistrettoPoint.fromBytes(ensureBytes('ristrettoHex', hex, 32));
-    }
-    static msm(points, scalars) {
-        return pippenger(_RistrettoPoint, ed25519.Point.Fn, points, scalars);
-    }
-    /**
-     * Encodes ristretto point to Uint8Array.
-     * Described in [RFC9496](https://www.rfc-editor.org/rfc/rfc9496#name-encode).
-     */
-    toBytes() {
-        let { X, Y, Z, T } = this.ep;
-        const P = ed25519_CURVE_p;
-        const mod = (n) => Fp.create(n);
-        const u1 = mod(mod(Z + Y) * mod(Z - Y)); // 1
-        const u2 = mod(X * Y); // 2
-        // Square root always exists
-        const u2sq = mod(u2 * u2);
-        const { value: invsqrt } = invertSqrt(mod(u1 * u2sq)); // 3
-        const D1 = mod(invsqrt * u1); // 4
-        const D2 = mod(invsqrt * u2); // 5
-        const zInv = mod(D1 * D2 * T); // 6
-        let D; // 7
-        if (isNegativeLE(T * zInv, P)) {
-            let _x = mod(Y * SQRT_M1);
-            let _y = mod(X * SQRT_M1);
-            X = _x;
-            Y = _y;
-            D = mod(D1 * INVSQRT_A_MINUS_D);
-        }
-        else {
-            D = D2; // 8
-        }
-        if (isNegativeLE(X * zInv, P))
-            Y = mod(-Y); // 9
-        let s = mod((Z - Y) * D); // 10 (check footer's note, no sqrt(-a))
-        if (isNegativeLE(s, P))
-            s = mod(-s);
-        return Fp.toBytes(s); // 11
-    }
-    /**
-     * Compares two Ristretto points.
-     * Described in [RFC9496](https://www.rfc-editor.org/rfc/rfc9496#name-equals).
-     */
-    equals(other) {
-        this.assertSame(other);
-        const { X: X1, Y: Y1 } = this.ep;
-        const { X: X2, Y: Y2 } = other.ep;
-        const mod = (n) => Fp.create(n);
-        // (x1 * y2 == y1 * x2) | (y1 * y2 == x1 * x2)
-        const one = mod(X1 * Y2) === mod(Y1 * X2);
-        const two = mod(Y1 * Y2) === mod(X1 * X2);
-        return one || two;
-    }
-    is0() {
-        return this.equals(_RistrettoPoint.ZERO);
-    }
-}
-// Do NOT change syntax: the following gymnastics is done,
-// because typescript strips comments, which makes bundlers disable tree-shaking.
-// prettier-ignore
-_RistrettoPoint.BASE = 
-/* @__PURE__ */ (() => new _RistrettoPoint(ed25519.Point.BASE))();
-// prettier-ignore
-_RistrettoPoint.ZERO = 
-/* @__PURE__ */ (() => new _RistrettoPoint(ed25519.Point.ZERO))();
-// prettier-ignore
-_RistrettoPoint.Fp = 
-/* @__PURE__ */ (() => Fp)();
-// prettier-ignore
-_RistrettoPoint.Fn = 
-/* @__PURE__ */ (() => Fn)();
-export const ristretto255 = { Point: _RistrettoPoint };
-/** Hashing to ristretto255 points / field. RFC 9380 methods. */
-export const ristretto255_hasher = {
-    hashToCurve(msg, options) {
-        const DST = options?.DST || 'ristretto255_XMD:SHA-512_R255MAP_RO_';
-        const xmd = expand_message_xmd(msg, DST, 64, sha512);
-        return ristretto255_map(xmd);
-    },
-    hashToScalar(msg, options = { DST: _DST_scalar }) {
-        const xmd = expand_message_xmd(msg, options.DST, 64, sha512);
-        return Fn.create(bytesToNumberLE(xmd));
-    },
-};
-// export const ristretto255_oprf: OPRF = createORPF({
-//   name: 'ristretto255-SHA512',
-//   Point: RistrettoPoint,
-//   hash: sha512,
-//   hashToGroup: ristretto255_hasher.hashToCurve,
-//   hashToScalar: ristretto255_hasher.hashToScalar,
-// });
-/**
- * Weird / bogus points, useful for debugging.
- * All 8 ed25519 points of 8-torsion subgroup can be generated from the point
- * T = `26e8958fc2b227b045c3f489f2ef98f0d5dfac05d3c63339b13802886d53fc05`.
- * ⟨T⟩ = { O, T, 2T, 3T, 4T, 5T, 6T, 7T }
- */
-export const ED25519_TORSION_SUBGROUP = [
-    '0100000000000000000000000000000000000000000000000000000000000000',
-    'c7176a703d4dd84fba3c0b760d10670f2a2053fa2c39ccc64ec7fd7792ac037a',
-    '0000000000000000000000000000000000000000000000000000000000000080',
-    '26e8958fc2b227b045c3f489f2ef98f0d5dfac05d3c63339b13802886d53fc05',
-    'ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f',
-    '26e8958fc2b227b045c3f489f2ef98f0d5dfac05d3c63339b13802886d53fc85',
-    '0000000000000000000000000000000000000000000000000000000000000000',
-    'c7176a703d4dd84fba3c0b760d10670f2a2053fa2c39ccc64ec7fd7792ac03fa',
-];
-/** @deprecated use `ed25519.utils.toMontgomery` */
-export function edwardsToMontgomeryPub(edwardsPub) {
-    return ed25519.utils.toMontgomery(ensureBytes('pub', edwardsPub));
-}
-/** @deprecated use `ed25519.utils.toMontgomery` */
-export const edwardsToMontgomery = edwardsToMontgomeryPub;
-/** @deprecated use `ed25519.utils.toMontgomeryPriv` */
-export function edwardsToMontgomeryPriv(edwardsPriv) {
-    return ed25519.utils.toMontgomeryPriv(ensureBytes('pub', edwardsPriv));
-}
-/** @deprecated use `ristretto255.Point` */
-export const RistrettoPoint = _RistrettoPoint;
-/** @deprecated use `import { ed25519_hasher } from '@noble/curves/ed25519.js';` */
-export const hashToCurve = /* @__PURE__ */ (() => ed25519_hasher.hashToCurve)();
-/** @deprecated use `import { ed25519_hasher } from '@noble/curves/ed25519.js';` */
-export const encodeToCurve = /* @__PURE__ */ (() => ed25519_hasher.encodeToCurve)();
-/** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */
-export const hashToRistretto255 = /* @__PURE__ */ (() => ristretto255_hasher.hashToCurve)();
-/** @deprecated use `import { ristretto255_hasher } from '@noble/curves/ed25519.js';` */
-export const hash_to_ristretto255 = /* @__PURE__ */ (() => ristretto255_hasher.hashToCurve)();
-//# sourceMappingURL=ed25519.js.map

esm/ed25519.js.map

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esm/ed448.d.ts

-import type { AffinePoint } from './abstract/curve.ts';
-import { PrimeEdwardsPoint, type CurveFn, type EdwardsPoint, type EdwardsPointCons } from './abstract/edwards.ts';
-import { type H2CHasher, type H2CHasherBase, type H2CMethod, type htfBasicOpts } from './abstract/hash-to-curve.ts';
-import { type IField } from './abstract/modular.ts';
-import { type MontgomeryECDH as XCurveFn } from './abstract/montgomery.ts';
-import { type Hex } from './utils.ts';
-/**
- * ed448 EdDSA curve and methods.
- * @example
- * import { ed448 } from '@noble/curves/ed448';
- * const { secretKey, publicKey } = ed448.keygen();
- * const msg = new TextEncoder().encode('hello');
- * const sig = ed448.sign(msg, secretKey);
- * const isValid = ed448.verify(sig, msg, publicKey);
- */
-export declare const ed448: CurveFn;
-/** Prehashed version of ed448. Accepts already-hashed messages in sign() and verify(). */
-export declare const ed448ph: CurveFn;
-/**
- * E448 curve, defined by NIST.
- * E448 != edwards448 used in ed448.
- * E448 is birationally equivalent to edwards448.
- */
-export declare const E448: EdwardsPointCons;
-/**
- * ECDH using curve448 aka x448.
- * x448 has 56-byte keys as per RFC 7748, while
- * ed448 has 57-byte keys as per RFC 8032.
- */
-export declare const x448: XCurveFn;
-/** Hashing / encoding to ed448 points / field. RFC 9380 methods. */
-export declare const ed448_hasher: H2CHasher<bigint>;
-/**
- * Each ed448/EdwardsPoint has 4 different equivalent points. This can be
- * a source of bugs for protocols like ring signatures. Decaf was created to solve this.
- * Decaf point operates in X:Y:Z:T extended coordinates like EdwardsPoint,
- * but it should work in its own namespace: do not combine those two.
- * See [RFC9496](https://www.rfc-editor.org/rfc/rfc9496).
- */
-declare class _DecafPoint extends PrimeEdwardsPoint<_DecafPoint> {
-    static BASE: _DecafPoint;
-    static ZERO: _DecafPoint;
-    static Fp: IField<bigint>;
-    static Fn: IField<bigint>;
-    constructor(ep: EdwardsPoint);
-    static fromAffine(ap: AffinePoint<bigint>): _DecafPoint;
-    protected assertSame(other: _DecafPoint): void;
-    protected init(ep: EdwardsPoint): _DecafPoint;
-    /** @deprecated use `import { decaf448_hasher } from '@noble/curves/ed448.js';` */
-    static hashToCurve(hex: Hex): _DecafPoint;
-    static fromBytes(bytes: Uint8Array): _DecafPoint;
-    /**
-     * Converts decaf-encoded string to decaf point.
-     * Described in [RFC9496](https://www.rfc-editor.org/rfc/rfc9496#name-decode-2).
-     * @param hex Decaf-encoded 56 bytes. Not every 56-byte string is valid decaf encoding
-     */
-    static fromHex(hex: Hex): _DecafPoint;
-    /** @deprecated use `import { pippenger } from '@noble/curves/abstract/curve.js';` */
-    static msm(points: _DecafPoint[], scalars: bigint[]): _DecafPoint;
-    /**
-     * Encodes decaf point to Uint8Array.
-     * Described in [RFC9496](https://www.rfc-editor.org/rfc/rfc9496#name-encode-2).
-     */
-    toBytes(): Uint8Array;
-    /**
-     * Compare one point to another.
-     * Described in [RFC9496](https://www.rfc-editor.org/rfc/rfc9496#name-equals-2).
-     */
-    equals(other: _DecafPoint): boolean;
-    is0(): boolean;
-}
-export declare const decaf448: {
-    Point: typeof _DecafPoint;
-};
-/** Hashing to decaf448 points / field. RFC 9380 methods. */
-export declare const decaf448_hasher: H2CHasherBase<bigint>;
-/**
- * Weird / bogus points, useful for debugging.
- * Unlike ed25519, there is no ed448 generator point which can produce full T subgroup.
- * Instead, there is a Klein four-group, which spans over 2 independent 2-torsion points:
- * (0, 1), (0, -1), (-1, 0), (1, 0).
- */
-export declare const ED448_TORSION_SUBGROUP: string[];
-type DcfHasher = (msg: Uint8Array, options: htfBasicOpts) => _DecafPoint;
-/** @deprecated use `decaf448.Point` */
-export declare const DecafPoint: typeof _DecafPoint;
-/** @deprecated use `import { ed448_hasher } from '@noble/curves/ed448.js';` */
-export declare const hashToCurve: H2CMethod<bigint>;
-/** @deprecated use `import { ed448_hasher } from '@noble/curves/ed448.js';` */
-export declare const encodeToCurve: H2CMethod<bigint>;
-/** @deprecated use `import { decaf448_hasher } from '@noble/curves/ed448.js';` */
-export declare const hashToDecaf448: DcfHasher;
-/** @deprecated use `import { decaf448_hasher } from '@noble/curves/ed448.js';` */
-export declare const hash_to_decaf448: DcfHasher;
-/** @deprecated use `ed448.utils.toMontgomery` */
-export declare function edwardsToMontgomeryPub(edwardsPub: string | Uint8Array): Uint8Array;
-/** @deprecated use `ed448.utils.toMontgomery` */
-export declare const edwardsToMontgomery: typeof edwardsToMontgomeryPub;
-export {};
-//# sourceMappingURL=ed448.d.ts.map

esm/ed448.d.ts.map

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esm/ed448.js

-/**
- * Edwards448 (not Ed448-Goldilocks) curve with following addons:
- * - X448 ECDH
- * - Decaf cofactor elimination
- * - Elligator hash-to-group / point indistinguishability
- * Conforms to RFC 8032 https://www.rfc-editor.org/rfc/rfc8032.html#section-5.2
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { shake256 } from '@noble/hashes/sha3.js';
-import { abytes, concatBytes, createHasher as wrapConstructor } from '@noble/hashes/utils.js';
-import { pippenger } from "./abstract/curve.js";
-import { edwards, PrimeEdwardsPoint, twistedEdwards, } from "./abstract/edwards.js";
-import { _DST_scalar, createHasher, expand_message_xof, } from "./abstract/hash-to-curve.js";
-import { Field, FpInvertBatch, isNegativeLE, mod, pow2 } from "./abstract/modular.js";
-import { montgomery } from "./abstract/montgomery.js";
-import { asciiToBytes, bytesToNumberLE, ensureBytes, equalBytes } from "./utils.js";
-// edwards448 curve
-// a = 1n
-// d = Fp.neg(39081n)
-// Finite field 2n**448n - 2n**224n - 1n
-// Subgroup order
-// 2n**446n - 13818066809895115352007386748515426880336692474882178609894547503885n
-const ed448_CURVE = {
-    p: BigInt('0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffffff'),
-    n: BigInt('0x3fffffffffffffffffffffffffffffffffffffffffffffffffffffff7cca23e9c44edb49aed63690216cc2728dc58f552378c292ab5844f3'),
-    h: BigInt(4),
-    a: BigInt(1),
-    d: BigInt('0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffff6756'),
-    Gx: BigInt('0x4f1970c66bed0ded221d15a622bf36da9e146570470f1767ea6de324a3d3a46412ae1af72ab66511433b80e18b00938e2626a82bc70cc05e'),
-    Gy: BigInt('0x693f46716eb6bc248876203756c9c7624bea73736ca3984087789c1e05a0c2d73ad3ff1ce67c39c4fdbd132c4ed7c8ad9808795bf230fa14'),
-};
-// E448 NIST curve is identical to edwards448, except for:
-// d = 39082/39081
-// Gx = 3/2
-const E448_CURVE = Object.assign({}, ed448_CURVE, {
-    d: BigInt('0xd78b4bdc7f0daf19f24f38c29373a2ccad46157242a50f37809b1da3412a12e79ccc9c81264cfe9ad080997058fb61c4243cc32dbaa156b9'),
-    Gx: BigInt('0x79a70b2b70400553ae7c9df416c792c61128751ac92969240c25a07d728bdc93e21f7787ed6972249de732f38496cd11698713093e9c04fc'),
-    Gy: BigInt('0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffff80000000000000000000000000000000000000000000000000000001'),
-});
-const shake256_114 = /* @__PURE__ */ wrapConstructor(() => shake256.create({ dkLen: 114 }));
-const shake256_64 = /* @__PURE__ */ wrapConstructor(() => shake256.create({ dkLen: 64 }));
-// prettier-ignore
-const _1n = BigInt(1), _2n = BigInt(2), _3n = BigInt(3), _4n = BigInt(4), _11n = BigInt(11);
-// prettier-ignore
-const _22n = BigInt(22), _44n = BigInt(44), _88n = BigInt(88), _223n = BigInt(223);
-// powPminus3div4 calculates z = x^k mod p, where k = (p-3)/4.
-// Used for efficient square root calculation.
-// ((P-3)/4).toString(2) would produce bits [223x 1, 0, 222x 1]
-function ed448_pow_Pminus3div4(x) {
-    const P = ed448_CURVE.p;
-    const b2 = (x * x * x) % P;
-    const b3 = (b2 * b2 * x) % P;
-    const b6 = (pow2(b3, _3n, P) * b3) % P;
-    const b9 = (pow2(b6, _3n, P) * b3) % P;
-    const b11 = (pow2(b9, _2n, P) * b2) % P;
-    const b22 = (pow2(b11, _11n, P) * b11) % P;
-    const b44 = (pow2(b22, _22n, P) * b22) % P;
-    const b88 = (pow2(b44, _44n, P) * b44) % P;
-    const b176 = (pow2(b88, _88n, P) * b88) % P;
-    const b220 = (pow2(b176, _44n, P) * b44) % P;
-    const b222 = (pow2(b220, _2n, P) * b2) % P;
-    const b223 = (pow2(b222, _1n, P) * x) % P;
-    return (pow2(b223, _223n, P) * b222) % P;
-}
-function adjustScalarBytes(bytes) {
-    // Section 5: Likewise, for X448, set the two least significant bits of the first byte to 0,
-    bytes[0] &= 252; // 0b11111100
-    // and the most significant bit of the last byte to 1.
-    bytes[55] |= 128; // 0b10000000
-    // NOTE: is NOOP for 56 bytes scalars (X25519/X448)
-    bytes[56] = 0; // Byte outside of group (456 buts vs 448 bits)
-    return bytes;
-}
-// Constant-time ratio of u to v. Allows to combine inversion and square root u/√v.
-// Uses algo from RFC8032 5.1.3.
-function uvRatio(u, v) {
-    const P = ed448_CURVE.p;
-    // https://www.rfc-editor.org/rfc/rfc8032#section-5.2.3
-    // To compute the square root of (u/v), the first step is to compute the
-    //   candidate root x = (u/v)^((p+1)/4).  This can be done using the
-    // following trick, to use a single modular powering for both the
-    // inversion of v and the square root:
-    // x = (u/v)^((p+1)/4)   = u³v(u⁵v³)^((p-3)/4)   (mod p)
-    const u2v = mod(u * u * v, P); // u²v
-    const u3v = mod(u2v * u, P); // u³v
-    const u5v3 = mod(u3v * u2v * v, P); // u⁵v³
-    const root = ed448_pow_Pminus3div4(u5v3);
-    const x = mod(u3v * root, P);
-    // Verify that root is exists
-    const x2 = mod(x * x, P); // x²
-    // If vx² = u, the recovered x-coordinate is x.  Otherwise, no
-    // square root exists, and the decoding fails.
-    return { isValid: mod(x2 * v, P) === u, value: x };
-}
-// Finite field 2n**448n - 2n**224n - 1n
-// The value fits in 448 bits, but we use 456-bit (57-byte) elements because of bitflags.
-// - ed25519 fits in 255 bits, allowing using last 1 byte for specifying bit flag of point negation.
-// - ed448 fits in 448 bits. We can't use last 1 byte: we can only use a bit 224 in the middle.
-const Fp = /* @__PURE__ */ (() => Field(ed448_CURVE.p, { BITS: 456, isLE: true }))();
-const Fn = /* @__PURE__ */ (() => Field(ed448_CURVE.n, { BITS: 456, isLE: true }))();
-// decaf448 uses 448-bit (56-byte) keys
-const Fp448 = /* @__PURE__ */ (() => Field(ed448_CURVE.p, { BITS: 448, isLE: true }))();
-const Fn448 = /* @__PURE__ */ (() => Field(ed448_CURVE.n, { BITS: 448, isLE: true }))();
-// SHAKE256(dom4(phflag,context)||x, 114)
-function dom4(data, ctx, phflag) {
-    if (ctx.length > 255)
-        throw new Error('context must be smaller than 255, got: ' + ctx.length);
-    return concatBytes(asciiToBytes('SigEd448'), new Uint8Array([phflag ? 1 : 0, ctx.length]), ctx, data);
-}
-// const ed448_eddsa_opts = { adjustScalarBytes, domain: dom4 };
-// const ed448_Point = edwards(ed448_CURVE, { Fp, Fn, uvRatio });
-const ED448_DEF = /* @__PURE__ */ (() => ({
-    ...ed448_CURVE,
-    Fp,
-    Fn,
-    nBitLength: Fn.BITS,
-    hash: shake256_114,
-    adjustScalarBytes,
-    domain: dom4,
-    uvRatio,
-}))();
-/**
- * ed448 EdDSA curve and methods.
- * @example
- * import { ed448 } from '@noble/curves/ed448';
- * const { secretKey, publicKey } = ed448.keygen();
- * const msg = new TextEncoder().encode('hello');
- * const sig = ed448.sign(msg, secretKey);
- * const isValid = ed448.verify(sig, msg, publicKey);
- */
-export const ed448 = twistedEdwards(ED448_DEF);
-// There is no ed448ctx, since ed448 supports ctx by default
-/** Prehashed version of ed448. Accepts already-hashed messages in sign() and verify(). */
-export const ed448ph = /* @__PURE__ */ (() => twistedEdwards({
-    ...ED448_DEF,
-    prehash: shake256_64,
-}))();
-/**
- * E448 curve, defined by NIST.
- * E448 != edwards448 used in ed448.
- * E448 is birationally equivalent to edwards448.
- */
-export const E448 = edwards(E448_CURVE);
-/**
- * ECDH using curve448 aka x448.
- * x448 has 56-byte keys as per RFC 7748, while
- * ed448 has 57-byte keys as per RFC 8032.
- */
-export const x448 = /* @__PURE__ */ (() => {
-    const P = ed448_CURVE.p;
-    return montgomery({
-        P,
-        type: 'x448',
-        powPminus2: (x) => {
-            const Pminus3div4 = ed448_pow_Pminus3div4(x);
-            const Pminus3 = pow2(Pminus3div4, _2n, P);
-            return mod(Pminus3 * x, P); // Pminus3 * x = Pminus2
-        },
-        adjustScalarBytes,
-    });
-})();
-// Hash To Curve Elligator2 Map
-const ELL2_C1 = /* @__PURE__ */ (() => (Fp.ORDER - BigInt(3)) / BigInt(4))(); // 1. c1 = (q - 3) / 4         # Integer arithmetic
-const ELL2_J = /* @__PURE__ */ BigInt(156326);
-function map_to_curve_elligator2_curve448(u) {
-    let tv1 = Fp.sqr(u); // 1.  tv1 = u^2
-    let e1 = Fp.eql(tv1, Fp.ONE); // 2.   e1 = tv1 == 1
-    tv1 = Fp.cmov(tv1, Fp.ZERO, e1); // 3.  tv1 = CMOV(tv1, 0, e1)  # If Z * u^2 == -1, set tv1 = 0
-    let xd = Fp.sub(Fp.ONE, tv1); // 4.   xd = 1 - tv1
-    let x1n = Fp.neg(ELL2_J); // 5.  x1n = -J
-    let tv2 = Fp.sqr(xd); // 6.  tv2 = xd^2
-    let gxd = Fp.mul(tv2, xd); // 7.  gxd = tv2 * xd          # gxd = xd^3
-    let gx1 = Fp.mul(tv1, Fp.neg(ELL2_J)); // 8.  gx1 = -J * tv1          # x1n + J * xd
-    gx1 = Fp.mul(gx1, x1n); // 9.  gx1 = gx1 * x1n         # x1n^2 + J * x1n * xd
-    gx1 = Fp.add(gx1, tv2); // 10. gx1 = gx1 + tv2         # x1n^2 + J * x1n * xd + xd^2
-    gx1 = Fp.mul(gx1, x1n); // 11. gx1 = gx1 * x1n         # x1n^3 + J * x1n^2 * xd + x1n * xd^2
-    let tv3 = Fp.sqr(gxd); // 12. tv3 = gxd^2
-    tv2 = Fp.mul(gx1, gxd); // 13. tv2 = gx1 * gxd         # gx1 * gxd
-    tv3 = Fp.mul(tv3, tv2); // 14. tv3 = tv3 * tv2         # gx1 * gxd^3
-    let y1 = Fp.pow(tv3, ELL2_C1); // 15.  y1 = tv3^c1            # (gx1 * gxd^3)^((p - 3) / 4)
-    y1 = Fp.mul(y1, tv2); // 16.  y1 = y1 * tv2          # gx1 * gxd * (gx1 * gxd^3)^((p - 3) / 4)
-    let x2n = Fp.mul(x1n, Fp.neg(tv1)); // 17. x2n = -tv1 * x1n        # x2 = x2n / xd = -1 * u^2 * x1n / xd
-    let y2 = Fp.mul(y1, u); // 18.  y2 = y1 * u
-    y2 = Fp.cmov(y2, Fp.ZERO, e1); // 19.  y2 = CMOV(y2, 0, e1)
-    tv2 = Fp.sqr(y1); // 20. tv2 = y1^2
-    tv2 = Fp.mul(tv2, gxd); // 21. tv2 = tv2 * gxd
-    let e2 = Fp.eql(tv2, gx1); // 22.  e2 = tv2 == gx1
-    let xn = Fp.cmov(x2n, x1n, e2); // 23.  xn = CMOV(x2n, x1n, e2)  # If e2, x = x1, else x = x2
-    let y = Fp.cmov(y2, y1, e2); // 24.   y = CMOV(y2, y1, e2)    # If e2, y = y1, else y = y2
-    let e3 = Fp.isOdd(y); // 25.  e3 = sgn0(y) == 1        # Fix sign of y
-    y = Fp.cmov(y, Fp.neg(y), e2 !== e3); // 26.   y = CMOV(y, -y, e2 XOR e3)
-    return { xn, xd, yn: y, yd: Fp.ONE }; // 27. return (xn, xd, y, 1)
-}
-function map_to_curve_elligator2_edwards448(u) {
-    let { xn, xd, yn, yd } = map_to_curve_elligator2_curve448(u); // 1. (xn, xd, yn, yd) = map_to_curve_elligator2_curve448(u)
-    let xn2 = Fp.sqr(xn); // 2.  xn2 = xn^2
-    let xd2 = Fp.sqr(xd); // 3.  xd2 = xd^2
-    let xd4 = Fp.sqr(xd2); // 4.  xd4 = xd2^2
-    let yn2 = Fp.sqr(yn); // 5.  yn2 = yn^2
-    let yd2 = Fp.sqr(yd); // 6.  yd2 = yd^2
-    let xEn = Fp.sub(xn2, xd2); // 7.  xEn = xn2 - xd2
-    let tv2 = Fp.sub(xEn, xd2); // 8.  tv2 = xEn - xd2
-    xEn = Fp.mul(xEn, xd2); // 9.  xEn = xEn * xd2
-    xEn = Fp.mul(xEn, yd); // 10. xEn = xEn * yd
-    xEn = Fp.mul(xEn, yn); // 11. xEn = xEn * yn
-    xEn = Fp.mul(xEn, _4n); // 12. xEn = xEn * 4
-    tv2 = Fp.mul(tv2, xn2); // 13. tv2 = tv2 * xn2
-    tv2 = Fp.mul(tv2, yd2); // 14. tv2 = tv2 * yd2
-    let tv3 = Fp.mul(yn2, _4n); // 15. tv3 = 4 * yn2
-    let tv1 = Fp.add(tv3, yd2); // 16. tv1 = tv3 + yd2
-    tv1 = Fp.mul(tv1, xd4); // 17. tv1 = tv1 * xd4
-    let xEd = Fp.add(tv1, tv2); // 18. xEd = tv1 + tv2
-    tv2 = Fp.mul(tv2, xn); // 19. tv2 = tv2 * xn
-    let tv4 = Fp.mul(xn, xd4); // 20. tv4 = xn * xd4
-    let yEn = Fp.sub(tv3, yd2); // 21. yEn = tv3 - yd2
-    yEn = Fp.mul(yEn, tv4); // 22. yEn = yEn * tv4
-    yEn = Fp.sub(yEn, tv2); // 23. yEn = yEn - tv2
-    tv1 = Fp.add(xn2, xd2); // 24. tv1 = xn2 + xd2
-    tv1 = Fp.mul(tv1, xd2); // 25. tv1 = tv1 * xd2
-    tv1 = Fp.mul(tv1, xd); // 26. tv1 = tv1 * xd
-    tv1 = Fp.mul(tv1, yn2); // 27. tv1 = tv1 * yn2
-    tv1 = Fp.mul(tv1, BigInt(-2)); // 28. tv1 = -2 * tv1
-    let yEd = Fp.add(tv2, tv1); // 29. yEd = tv2 + tv1
-    tv4 = Fp.mul(tv4, yd2); // 30. tv4 = tv4 * yd2
-    yEd = Fp.add(yEd, tv4); // 31. yEd = yEd + tv4
-    tv1 = Fp.mul(xEd, yEd); // 32. tv1 = xEd * yEd
-    let e = Fp.eql(tv1, Fp.ZERO); // 33.   e = tv1 == 0
-    xEn = Fp.cmov(xEn, Fp.ZERO, e); // 34. xEn = CMOV(xEn, 0, e)
-    xEd = Fp.cmov(xEd, Fp.ONE, e); // 35. xEd = CMOV(xEd, 1, e)
-    yEn = Fp.cmov(yEn, Fp.ONE, e); // 36. yEn = CMOV(yEn, 1, e)
-    yEd = Fp.cmov(yEd, Fp.ONE, e); // 37. yEd = CMOV(yEd, 1, e)
-    const inv = FpInvertBatch(Fp, [xEd, yEd], true); // batch division
-    return { x: Fp.mul(xEn, inv[0]), y: Fp.mul(yEn, inv[1]) }; // 38. return (xEn, xEd, yEn, yEd)
-}
-/** Hashing / encoding to ed448 points / field. RFC 9380 methods. */
-export const ed448_hasher = /* @__PURE__ */ (() => createHasher(ed448.Point, (scalars) => map_to_curve_elligator2_edwards448(scalars[0]), {
-    DST: 'edwards448_XOF:SHAKE256_ELL2_RO_',
-    encodeDST: 'edwards448_XOF:SHAKE256_ELL2_NU_',
-    p: Fp.ORDER,
-    m: 1,
-    k: 224,
-    expand: 'xof',
-    hash: shake256,
-}))();
-// 1-d
-const ONE_MINUS_D = /* @__PURE__ */ BigInt('39082');
-// 1-2d
-const ONE_MINUS_TWO_D = /* @__PURE__ */ BigInt('78163');
-// √(-d)
-const SQRT_MINUS_D = /* @__PURE__ */ BigInt('98944233647732219769177004876929019128417576295529901074099889598043702116001257856802131563896515373927712232092845883226922417596214');
-// 1 / √(-d)
-const INVSQRT_MINUS_D = /* @__PURE__ */ BigInt('315019913931389607337177038330951043522456072897266928557328499619017160722351061360252776265186336876723201881398623946864393857820716');
-// Calculates 1/√(number)
-const invertSqrt = (number) => uvRatio(_1n, number);
-/**
- * Elligator map for hash-to-curve of decaf448.
- * Described in [RFC9380](https://www.rfc-editor.org/rfc/rfc9380#appendix-C)
- * and [RFC9496](https://www.rfc-editor.org/rfc/rfc9496#name-element-derivation-2).
- */
-function calcElligatorDecafMap(r0) {
-    const { d } = ed448_CURVE;
-    const P = Fp.ORDER;
-    const mod = (n) => Fp.create(n);
-    const r = mod(-(r0 * r0)); // 1
-    const u0 = mod(d * (r - _1n)); // 2
-    const u1 = mod((u0 + _1n) * (u0 - r)); // 3
-    const { isValid: was_square, value: v } = uvRatio(ONE_MINUS_TWO_D, mod((r + _1n) * u1)); // 4
-    let v_prime = v; // 5
-    if (!was_square)
-        v_prime = mod(r0 * v);
-    let sgn = _1n; // 6
-    if (!was_square)
-        sgn = mod(-_1n);
-    const s = mod(v_prime * (r + _1n)); // 7
-    let s_abs = s;
-    if (isNegativeLE(s, P))
-        s_abs = mod(-s);
-    const s2 = s * s;
-    const W0 = mod(s_abs * _2n); // 8
-    const W1 = mod(s2 + _1n); // 9
-    const W2 = mod(s2 - _1n); // 10
-    const W3 = mod(v_prime * s * (r - _1n) * ONE_MINUS_TWO_D + sgn); // 11
-    return new ed448.Point(mod(W0 * W3), mod(W2 * W1), mod(W1 * W3), mod(W0 * W2));
-}
-function decaf448_map(bytes) {
-    abytes(bytes, 112);
-    const skipValidation = true;
-    // Note: Similar to the field element decoding described in
-    // [RFC7748], and unlike the field element decoding described in
-    // Section 5.3.1, non-canonical values are accepted.
-    const r1 = Fp448.create(Fp448.fromBytes(bytes.subarray(0, 56), skipValidation));
-    const R1 = calcElligatorDecafMap(r1);
-    const r2 = Fp448.create(Fp448.fromBytes(bytes.subarray(56, 112), skipValidation));
-    const R2 = calcElligatorDecafMap(r2);
-    return new _DecafPoint(R1.add(R2));
-}
-/**
- * Each ed448/EdwardsPoint has 4 different equivalent points. This can be
- * a source of bugs for protocols like ring signatures. Decaf was created to solve this.
- * Decaf point operates in X:Y:Z:T extended coordinates like EdwardsPoint,
- * but it should work in its own namespace: do not combine those two.
- * See [RFC9496](https://www.rfc-editor.org/rfc/rfc9496).
- */
-class _DecafPoint extends PrimeEdwardsPoint {
-    constructor(ep) {
-        super(ep);
-    }
-    static fromAffine(ap) {
-        return new _DecafPoint(ed448.Point.fromAffine(ap));
-    }
-    assertSame(other) {
-        if (!(other instanceof _DecafPoint))
-            throw new Error('DecafPoint expected');
-    }
-    init(ep) {
-        return new _DecafPoint(ep);
-    }
-    /** @deprecated use `import { decaf448_hasher } from '@noble/curves/ed448.js';` */
-    static hashToCurve(hex) {
-        return decaf448_map(ensureBytes('decafHash', hex, 112));
-    }
-    static fromBytes(bytes) {
-        abytes(bytes, 56);
-        const { d } = ed448_CURVE;
-        const P = Fp.ORDER;
-        const mod = (n) => Fp448.create(n);
-        const s = Fp448.fromBytes(bytes);
-        // 1. Check that s_bytes is the canonical encoding of a field element, or else abort.
-        // 2. Check that s is non-negative, or else abort
-        if (!equalBytes(Fn448.toBytes(s), bytes) || isNegativeLE(s, P))
-            throw new Error('invalid decaf448 encoding 1');
-        const s2 = mod(s * s); // 1
-        const u1 = mod(_1n + s2); // 2
-        const u1sq = mod(u1 * u1);
-        const u2 = mod(u1sq - _4n * d * s2); // 3
-        const { isValid, value: invsqrt } = invertSqrt(mod(u2 * u1sq)); // 4
-        let u3 = mod((s + s) * invsqrt * u1 * SQRT_MINUS_D); // 5
-        if (isNegativeLE(u3, P))
-            u3 = mod(-u3);
-        const x = mod(u3 * invsqrt * u2 * INVSQRT_MINUS_D); // 6
-        const y = mod((_1n - s2) * invsqrt * u1); // 7
-        const t = mod(x * y); // 8
-        if (!isValid)
-            throw new Error('invalid decaf448 encoding 2');
-        return new _DecafPoint(new ed448.Point(x, y, _1n, t));
-    }
-    /**
-     * Converts decaf-encoded string to decaf point.
-     * Described in [RFC9496](https://www.rfc-editor.org/rfc/rfc9496#name-decode-2).
-     * @param hex Decaf-encoded 56 bytes. Not every 56-byte string is valid decaf encoding
-     */
-    static fromHex(hex) {
-        return _DecafPoint.fromBytes(ensureBytes('decafHex', hex, 56));
-    }
-    /** @deprecated use `import { pippenger } from '@noble/curves/abstract/curve.js';` */
-    static msm(points, scalars) {
-        return pippenger(_DecafPoint, Fn, points, scalars);
-    }
-    /**
-     * Encodes decaf point to Uint8Array.
-     * Described in [RFC9496](https://www.rfc-editor.org/rfc/rfc9496#name-encode-2).
-     */
-    toBytes() {
-        const { X, Z, T } = this.ep;
-        const P = Fp.ORDER;
-        const mod = (n) => Fp.create(n);
-        const u1 = mod(mod(X + T) * mod(X - T)); // 1
-        const x2 = mod(X * X);
-        const { value: invsqrt } = invertSqrt(mod(u1 * ONE_MINUS_D * x2)); // 2
-        let ratio = mod(invsqrt * u1 * SQRT_MINUS_D); // 3
-        if (isNegativeLE(ratio, P))
-            ratio = mod(-ratio);
-        const u2 = mod(INVSQRT_MINUS_D * ratio * Z - T); // 4
-        let s = mod(ONE_MINUS_D * invsqrt * X * u2); // 5
-        if (isNegativeLE(s, P))
-            s = mod(-s);
-        return Fn448.toBytes(s);
-    }
-    /**
-     * Compare one point to another.
-     * Described in [RFC9496](https://www.rfc-editor.org/rfc/rfc9496#name-equals-2).
-     */
-    equals(other) {
-        this.assertSame(other);
-        const { X: X1, Y: Y1 } = this.ep;
-        const { X: X2, Y: Y2 } = other.ep;
-        // (x1 * y2 == y1 * x2)
-        return Fp.create(X1 * Y2) === Fp.create(Y1 * X2);
-    }
-    is0() {
-        return this.equals(_DecafPoint.ZERO);
-    }
-}
-// The following gymnastics is done because typescript strips comments otherwise
-// prettier-ignore
-_DecafPoint.BASE = 
-/* @__PURE__ */ (() => new _DecafPoint(ed448.Point.BASE).multiplyUnsafe(_2n))();
-// prettier-ignore
-_DecafPoint.ZERO = 
-/* @__PURE__ */ (() => new _DecafPoint(ed448.Point.ZERO))();
-// prettier-ignore
-_DecafPoint.Fp = 
-/* @__PURE__ */ (() => Fp448)();
-// prettier-ignore
-_DecafPoint.Fn = 
-/* @__PURE__ */ (() => Fn448)();
-export const decaf448 = { Point: _DecafPoint };
-/** Hashing to decaf448 points / field. RFC 9380 methods. */
-export const decaf448_hasher = {
-    hashToCurve(msg, options) {
-        const DST = options?.DST || 'decaf448_XOF:SHAKE256_D448MAP_RO_';
-        return decaf448_map(expand_message_xof(msg, DST, 112, 224, shake256));
-    },
-    // Warning: has big modulo bias of 2^-64.
-    // RFC is invalid. RFC says "use 64-byte xof", while for 2^-112 bias
-    // it must use 84-byte xof (56+56/2), not 64.
-    hashToScalar(msg, options = { DST: _DST_scalar }) {
-        // Can't use `Fn448.fromBytes()`. 64-byte input => 56-byte field element
-        const xof = expand_message_xof(msg, options.DST, 64, 256, shake256);
-        return Fn448.create(bytesToNumberLE(xof));
-    },
-};
-// export const decaf448_oprf: OPRF = createORPF({
-//   name: 'decaf448-SHAKE256',
-//   Point: DecafPoint,
-//   hash: (msg: Uint8Array) => shake256(msg, { dkLen: 64 }),
-//   hashToGroup: decaf448_hasher.hashToCurve,
-//   hashToScalar: decaf448_hasher.hashToScalar,
-// });
-/**
- * Weird / bogus points, useful for debugging.
- * Unlike ed25519, there is no ed448 generator point which can produce full T subgroup.
- * Instead, there is a Klein four-group, which spans over 2 independent 2-torsion points:
- * (0, 1), (0, -1), (-1, 0), (1, 0).
- */
-export const ED448_TORSION_SUBGROUP = [
-    '010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000',
-    'fefffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff00',
-    '000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000',
-    '000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000080',
-];
-/** @deprecated use `decaf448.Point` */
-export const DecafPoint = _DecafPoint;
-/** @deprecated use `import { ed448_hasher } from '@noble/curves/ed448.js';` */
-export const hashToCurve = /* @__PURE__ */ (() => ed448_hasher.hashToCurve)();
-/** @deprecated use `import { ed448_hasher } from '@noble/curves/ed448.js';` */
-export const encodeToCurve = /* @__PURE__ */ (() => ed448_hasher.encodeToCurve)();
-/** @deprecated use `import { decaf448_hasher } from '@noble/curves/ed448.js';` */
-export const hashToDecaf448 = /* @__PURE__ */ (() => decaf448_hasher.hashToCurve)();
-/** @deprecated use `import { decaf448_hasher } from '@noble/curves/ed448.js';` */
-export const hash_to_decaf448 = /* @__PURE__ */ (() => decaf448_hasher.hashToCurve)();
-/** @deprecated use `ed448.utils.toMontgomery` */
-export function edwardsToMontgomeryPub(edwardsPub) {
-    return ed448.utils.toMontgomery(ensureBytes('pub', edwardsPub));
-}
-/** @deprecated use `ed448.utils.toMontgomery` */
-export const edwardsToMontgomery = edwardsToMontgomeryPub;
-//# sourceMappingURL=ed448.js.map

esm/ed448.js.map

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esm/index.d.ts

-export {};
-//# sourceMappingURL=index.d.ts.map

esm/index.d.ts.map

-{"version":3,"file":"index.d.ts","sourceRoot":"","sources":["../src/index.ts"],"names":[],"mappings":""}

esm/index.js

-/**
- * Audited & minimal JS implementation of elliptic curve cryptography.
- * @module
- * @example
-```js
-import { secp256k1, schnorr } from '@noble/curves/secp256k1.js';
-import { ed25519, ed25519ph, ed25519ctx, x25519, RistrettoPoint } from '@noble/curves/ed25519.js';
-import { ed448, ed448ph, ed448ctx, x448 } from '@noble/curves/ed448.js';
-import { p256, p384, p521 } from '@noble/curves/nist.js';
-import { bls12_381 } from '@noble/curves/bls12-381.js';
-import { bn254 } from '@noble/curves/bn254.js';
-import { bytesToHex, hexToBytes, concatBytes, utf8ToBytes } from '@noble/curves/abstract/utils.js';
-```
- */
-throw new Error('root module cannot be imported: import submodules instead. Check out README');
-export {};
-//# sourceMappingURL=index.js.map

esm/index.js.map

-{"version":3,"file":"index.js","sourceRoot":"","sources":["../src/index.ts"],"names":[],"mappings":"AAAA;;;;;;;;;;;;;GAaG;AACH,MAAM,IAAI,KAAK,CAAC,6EAA6E,CAAC,CAAC"}

esm/jubjub.d.ts

-/**
- * @deprecated
- * @module
- */
-import { jubjub_findGroupHash, jubjub_groupHash, jubjub as jubjubn } from './misc.ts';
-/** @deprecated use `import { jubjub } from '@noble/curves/misc.js';` */
-export declare const jubjub: typeof jubjubn;
-/** @deprecated use `import { jubjub_findGroupHash } from '@noble/curves/misc.js';` */
-export declare const findGroupHash: typeof jubjub_findGroupHash;
-/** @deprecated use `import { jubjub_groupHash } from '@noble/curves/misc.js';` */
-export declare const groupHash: typeof jubjub_groupHash;
-//# sourceMappingURL=jubjub.d.ts.map

esm/jubjub.d.ts.map

-{"version":3,"file":"jubjub.d.ts","sourceRoot":"","sources":["../src/jubjub.ts"],"names":[],"mappings":"AAAA;;;GAGG;AACH,OAAO,EAAE,oBAAoB,EAAE,gBAAgB,EAAE,MAAM,IAAI,OAAO,EAAE,MAAM,WAAW,CAAC;AAEtF,wEAAwE;AACxE,eAAO,MAAM,MAAM,EAAE,OAAO,OAAiB,CAAC;AAC9C,sFAAsF;AACtF,eAAO,MAAM,aAAa,EAAE,OAAO,oBAA2C,CAAC;AAC/E,kFAAkF;AAClF,eAAO,MAAM,SAAS,EAAE,OAAO,gBAAmC,CAAC"}

esm/jubjub.js

-/**
- * @deprecated
- * @module
- */
-import { jubjub_findGroupHash, jubjub_groupHash, jubjub as jubjubn } from "./misc.js";
-/** @deprecated use `import { jubjub } from '@noble/curves/misc.js';` */
-export const jubjub = jubjubn;
-/** @deprecated use `import { jubjub_findGroupHash } from '@noble/curves/misc.js';` */
-export const findGroupHash = jubjub_findGroupHash;
-/** @deprecated use `import { jubjub_groupHash } from '@noble/curves/misc.js';` */
-export const groupHash = jubjub_groupHash;
-//# sourceMappingURL=jubjub.js.map

esm/jubjub.js.map

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esm/misc.d.ts

-import { type CurveFn, type EdwardsPoint } from './abstract/edwards.ts';
-import { type CurveFn as WCurveFn } from './abstract/weierstrass.ts';
-/** Curve over scalar field of bls12-381. jubjub Fp = bls n */
-export declare const jubjub: CurveFn;
-/** Curve over scalar field of bn254. babyjubjub Fp = bn254 n */
-export declare const babyjubjub: CurveFn;
-export declare function jubjub_groupHash(tag: Uint8Array, personalization: Uint8Array): EdwardsPoint;
-export declare function jubjub_findGroupHash(m: Uint8Array, personalization: Uint8Array): EdwardsPoint;
-export declare const pasta_p: bigint;
-export declare const pasta_q: bigint;
-/**
- * @deprecated
- */
-export declare const pallas: WCurveFn;
-/**
- * @deprecated
- */
-export declare const vesta: WCurveFn;
-//# sourceMappingURL=misc.d.ts.map

esm/misc.d.ts.map

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esm/misc.js

-/**
- * Miscellaneous, rarely used curves.
- * jubjub, babyjubjub, pallas, vesta.
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { blake256 } from '@noble/hashes/blake1.js';
-import { blake2s } from '@noble/hashes/blake2.js';
-import { sha256, sha512 } from '@noble/hashes/sha2.js';
-import { concatBytes, utf8ToBytes } from '@noble/hashes/utils.js';
-import { twistedEdwards, } from "./abstract/edwards.js";
-import { Field, mod } from "./abstract/modular.js";
-import { weierstrass } from "./abstract/weierstrass.js";
-import { bls12_381_Fr } from "./bls12-381.js";
-import { bn254_Fr } from "./bn254.js";
-// Jubjub curves have 𝔽p over scalar fields of other curves. They are friendly to ZK proofs.
-// jubjub Fp = bls n. babyjubjub Fp = bn254 n.
-// verify manually, check bls12-381.ts and bn254.ts.
-const jubjub_CURVE = {
-    p: bls12_381_Fr.ORDER,
-    n: BigInt('0xe7db4ea6533afa906673b0101343b00a6682093ccc81082d0970e5ed6f72cb7'),
-    h: BigInt(8),
-    a: BigInt('0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000000'),
-    d: BigInt('0x2a9318e74bfa2b48f5fd9207e6bd7fd4292d7f6d37579d2601065fd6d6343eb1'),
-    Gx: BigInt('0x11dafe5d23e1218086a365b99fbf3d3be72f6afd7d1f72623e6b071492d1122b'),
-    Gy: BigInt('0x1d523cf1ddab1a1793132e78c866c0c33e26ba5cc220fed7cc3f870e59d292aa'),
-};
-/** Curve over scalar field of bls12-381. jubjub Fp = bls n */
-export const jubjub = /* @__PURE__ */ twistedEdwards({
-    ...jubjub_CURVE,
-    Fp: bls12_381_Fr,
-    hash: sha512,
-});
-const babyjubjub_CURVE = {
-    p: bn254_Fr.ORDER,
-    n: BigInt('0x30644e72e131a029b85045b68181585d59f76dc1c90770533b94bee1c9093788'),
-    h: BigInt(8),
-    a: BigInt('168700'),
-    d: BigInt('168696'),
-    Gx: BigInt('0x23343e3445b673d38bcba38f25645adb494b1255b1162bb40f41a59f4d4b45e'),
-    Gy: BigInt('0xc19139cb84c680a6e14116da06056174a0cfa121e6e5c2450f87d64fc000001'),
-};
-/** Curve over scalar field of bn254. babyjubjub Fp = bn254 n */
-export const babyjubjub = /* @__PURE__ */ twistedEdwards({
-    ...babyjubjub_CURVE,
-    Fp: bn254_Fr,
-    hash: blake256,
-});
-const jubjub_gh_first_block = utf8ToBytes('096b36a5804bfacef1691e173c366a47ff5ba84a44f26ddd7e8d9f79d5b42df0');
-// Returns point at JubJub curve which is prime order and not zero
-export function jubjub_groupHash(tag, personalization) {
-    const h = blake2s.create({ personalization, dkLen: 32 });
-    h.update(jubjub_gh_first_block);
-    h.update(tag);
-    // NOTE: returns ExtendedPoint, in case it will be multiplied later
-    let p = jubjub.Point.fromBytes(h.digest());
-    // NOTE: cannot replace with isSmallOrder, returns Point*8
-    p = p.multiply(jubjub_CURVE.h);
-    if (p.equals(jubjub.Point.ZERO))
-        throw new Error('Point has small order');
-    return p;
-}
-// No secret data is leaked here at all.
-// It operates over public data:
-// const G_SPEND = jubjub.findGroupHash(Uint8Array.of(), utf8ToBytes('Item_G_'));
-export function jubjub_findGroupHash(m, personalization) {
-    const tag = concatBytes(m, Uint8Array.of(0));
-    const hashes = [];
-    for (let i = 0; i < 256; i++) {
-        tag[tag.length - 1] = i;
-        try {
-            hashes.push(jubjub_groupHash(tag, personalization));
-        }
-        catch (e) { }
-    }
-    if (!hashes.length)
-        throw new Error('findGroupHash tag overflow');
-    return hashes[0];
-}
-// Pasta curves. See [Spec](https://o1-labs.github.io/proof-systems/specs/pasta.html).
-export const pasta_p = BigInt('0x40000000000000000000000000000000224698fc094cf91b992d30ed00000001');
-export const pasta_q = BigInt('0x40000000000000000000000000000000224698fc0994a8dd8c46eb2100000001');
-/**
- * @deprecated
- */
-export const pallas = weierstrass({
-    a: BigInt(0),
-    b: BigInt(5),
-    Fp: Field(pasta_p),
-    n: pasta_q,
-    Gx: mod(BigInt(-1), pasta_p),
-    Gy: BigInt(2),
-    h: BigInt(1),
-    hash: sha256,
-});
-/**
- * @deprecated
- */
-export const vesta = weierstrass({
-    a: BigInt(0),
-    b: BigInt(5),
-    Fp: Field(pasta_q),
-    n: pasta_p,
-    Gx: mod(BigInt(-1), pasta_q),
-    Gy: BigInt(2),
-    h: BigInt(1),
-    hash: sha256,
-});
-//# sourceMappingURL=misc.js.map

esm/misc.js.map

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esm/nist.d.ts

-import { type CurveFnWithCreate } from './_shortw_utils.ts';
-import { type H2CHasher } from './abstract/hash-to-curve.ts';
-/** NIST P256 (aka secp256r1, prime256v1) curve, ECDSA and ECDH methods. */
-export declare const p256: CurveFnWithCreate;
-/** Hashing / encoding to p256 points / field. RFC 9380 methods. */
-export declare const p256_hasher: H2CHasher<bigint>;
-/** NIST P384 (aka secp384r1) curve, ECDSA and ECDH methods. */
-export declare const p384: CurveFnWithCreate;
-/** Hashing / encoding to p384 points / field. RFC 9380 methods. */
-export declare const p384_hasher: H2CHasher<bigint>;
-/** NIST P521 (aka secp521r1) curve, ECDSA and ECDH methods. */
-export declare const p521: CurveFnWithCreate;
-/** @deprecated use `p256` for consistency with `p256_hasher` */
-export declare const secp256r1: typeof p256;
-/** @deprecated use `p384` for consistency with `p384_hasher` */
-export declare const secp384r1: typeof p384;
-/** @deprecated use `p521` for consistency with `p521_hasher` */
-export declare const secp521r1: typeof p521;
-/** Hashing / encoding to p521 points / field. RFC 9380 methods. */
-export declare const p521_hasher: H2CHasher<bigint>;
-//# sourceMappingURL=nist.d.ts.map

esm/nist.d.ts.map

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esm/nist.js

-/**
- * Internal module for NIST P256, P384, P521 curves.
- * Do not use for now.
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { sha256, sha384, sha512 } from '@noble/hashes/sha2.js';
-import { createCurve } from "./_shortw_utils.js";
-import { createHasher } from "./abstract/hash-to-curve.js";
-import { Field } from "./abstract/modular.js";
-import { mapToCurveSimpleSWU, } from "./abstract/weierstrass.js";
-// p = 2n**224n * (2n**32n-1n) + 2n**192n + 2n**96n - 1n
-// a = Fp256.create(BigInt('-3'));
-const p256_CURVE = {
-    p: BigInt('0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff'),
-    n: BigInt('0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551'),
-    h: BigInt(1),
-    a: BigInt('0xffffffff00000001000000000000000000000000fffffffffffffffffffffffc'),
-    b: BigInt('0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b'),
-    Gx: BigInt('0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296'),
-    Gy: BigInt('0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5'),
-};
-// p = 2n**384n - 2n**128n - 2n**96n + 2n**32n - 1n
-const p384_CURVE = {
-    p: BigInt('0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff'),
-    n: BigInt('0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973'),
-    h: BigInt(1),
-    a: BigInt('0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffc'),
-    b: BigInt('0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef'),
-    Gx: BigInt('0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7'),
-    Gy: BigInt('0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f'),
-};
-// p = 2n**521n - 1n
-const p521_CURVE = {
-    p: BigInt('0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff'),
-    n: BigInt('0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409'),
-    h: BigInt(1),
-    a: BigInt('0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc'),
-    b: BigInt('0x0051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00'),
-    Gx: BigInt('0x00c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66'),
-    Gy: BigInt('0x011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650'),
-};
-const Fp256 = Field(p256_CURVE.p);
-const Fp384 = Field(p384_CURVE.p);
-const Fp521 = Field(p521_CURVE.p);
-function createSWU(Point, opts) {
-    const map = mapToCurveSimpleSWU(Point.Fp, opts);
-    return (scalars) => map(scalars[0]);
-}
-/** NIST P256 (aka secp256r1, prime256v1) curve, ECDSA and ECDH methods. */
-export const p256 = createCurve({ ...p256_CURVE, Fp: Fp256, lowS: false }, sha256);
-/** Hashing / encoding to p256 points / field. RFC 9380 methods. */
-export const p256_hasher = /* @__PURE__ */ (() => {
-    return createHasher(p256.Point, createSWU(p256.Point, {
-        A: p256_CURVE.a,
-        B: p256_CURVE.b,
-        Z: p256.Point.Fp.create(BigInt('-10')),
-    }), {
-        DST: 'P256_XMD:SHA-256_SSWU_RO_',
-        encodeDST: 'P256_XMD:SHA-256_SSWU_NU_',
-        p: p256_CURVE.p,
-        m: 1,
-        k: 128,
-        expand: 'xmd',
-        hash: sha256,
-    });
-})();
-// export const p256_oprf: OPRF = createORPF({
-//   name: 'P256-SHA256',
-//   Point: p256.Point,
-//   hash: sha256,
-//   hashToGroup: p256_hasher.hashToCurve,
-//   hashToScalar: p256_hasher.hashToScalar,
-// });
-/** NIST P384 (aka secp384r1) curve, ECDSA and ECDH methods. */
-export const p384 = createCurve({ ...p384_CURVE, Fp: Fp384, lowS: false }, sha384);
-/** Hashing / encoding to p384 points / field. RFC 9380 methods. */
-export const p384_hasher = /* @__PURE__ */ (() => {
-    return createHasher(p384.Point, createSWU(p384.Point, {
-        A: p384_CURVE.a,
-        B: p384_CURVE.b,
-        Z: p384.Point.Fp.create(BigInt('-12')),
-    }), {
-        DST: 'P384_XMD:SHA-384_SSWU_RO_',
-        encodeDST: 'P384_XMD:SHA-384_SSWU_NU_',
-        p: p384_CURVE.p,
-        m: 1,
-        k: 192,
-        expand: 'xmd',
-        hash: sha384,
-    });
-})();
-// export const p384_oprf: OPRF = createORPF({
-//   name: 'P384-SHA384',
-//   Point: p384.Point,
-//   hash: sha384,
-//   hashToGroup: p384_hasher.hashToCurve,
-//   hashToScalar: p384_hasher.hashToScalar,
-// });
-// const Fn521 = Field(p521_CURVE.n, { allowedScalarLengths: [65, 66] });
-/** NIST P521 (aka secp521r1) curve, ECDSA and ECDH methods. */
-export const p521 = createCurve({ ...p521_CURVE, Fp: Fp521, lowS: false, allowedPrivateKeyLengths: [130, 131, 132] }, sha512);
-/** @deprecated use `p256` for consistency with `p256_hasher` */
-export const secp256r1 = p256;
-/** @deprecated use `p384` for consistency with `p384_hasher` */
-export const secp384r1 = p384;
-/** @deprecated use `p521` for consistency with `p521_hasher` */
-export const secp521r1 = p521;
-/** Hashing / encoding to p521 points / field. RFC 9380 methods. */
-export const p521_hasher = /* @__PURE__ */ (() => {
-    return createHasher(p521.Point, createSWU(p521.Point, {
-        A: p521_CURVE.a,
-        B: p521_CURVE.b,
-        Z: p521.Point.Fp.create(BigInt('-4')),
-    }), {
-        DST: 'P521_XMD:SHA-512_SSWU_RO_',
-        encodeDST: 'P521_XMD:SHA-512_SSWU_NU_',
-        p: p521_CURVE.p,
-        m: 1,
-        k: 256,
-        expand: 'xmd',
-        hash: sha512,
-    });
-})();
-// export const p521_oprf: OPRF = createORPF({
-//   name: 'P521-SHA512',
-//   Point: p521.Point,
-//   hash: sha512,
-//   hashToGroup: p521_hasher.hashToCurve,
-//   hashToScalar: p521_hasher.hashToScalar, // produces L=98 just like in RFC
-// });
-//# sourceMappingURL=nist.js.map

esm/nist.js.map

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esm/p256.d.ts

-/**
- * NIST secp256r1 aka p256.
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { type H2CMethod } from './abstract/hash-to-curve.ts';
-import { p256 as p256n } from './nist.ts';
-/** @deprecated use `import { p256 } from '@noble/curves/nist.js';` */
-export declare const p256: typeof p256n;
-/** @deprecated use `import { p256 } from '@noble/curves/nist.js';` */
-export declare const secp256r1: typeof p256n;
-/** @deprecated use `import { p256_hasher } from '@noble/curves/nist.js';` */
-export declare const hashToCurve: H2CMethod<bigint>;
-/** @deprecated use `import { p256_hasher } from '@noble/curves/nist.js';` */
-export declare const encodeToCurve: H2CMethod<bigint>;
-//# sourceMappingURL=p256.d.ts.map

esm/p256.d.ts.map

-{"version":3,"file":"p256.d.ts","sourceRoot":"","sources":["../src/p256.ts"],"names":[],"mappings":"AAAA;;;GAGG;AACH,sEAAsE;AACtE,OAAO,EAAE,KAAK,SAAS,EAAE,MAAM,6BAA6B,CAAC;AAC7D,OAAO,EAAe,IAAI,IAAI,KAAK,EAAE,MAAM,WAAW,CAAC;AACvD,sEAAsE;AACtE,eAAO,MAAM,IAAI,EAAE,OAAO,KAAa,CAAC;AACxC,sEAAsE;AACtE,eAAO,MAAM,SAAS,EAAE,OAAO,KAAa,CAAC;AAC7C,6EAA6E;AAC7E,eAAO,MAAM,WAAW,EAAE,SAAS,CAAC,MAAM,CAAqD,CAAC;AAChG,6EAA6E;AAC7E,eAAO,MAAM,aAAa,EAAE,SAAS,CAAC,MAAM,CAAuD,CAAC"}

esm/p256.js

-/**
- * NIST secp256r1 aka p256.
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import {} from "./abstract/hash-to-curve.js";
-import { p256_hasher, p256 as p256n } from "./nist.js";
-/** @deprecated use `import { p256 } from '@noble/curves/nist.js';` */
-export const p256 = p256n;
-/** @deprecated use `import { p256 } from '@noble/curves/nist.js';` */
-export const secp256r1 = p256n;
-/** @deprecated use `import { p256_hasher } from '@noble/curves/nist.js';` */
-export const hashToCurve = /* @__PURE__ */ (() => p256_hasher.hashToCurve)();
-/** @deprecated use `import { p256_hasher } from '@noble/curves/nist.js';` */
-export const encodeToCurve = /* @__PURE__ */ (() => p256_hasher.encodeToCurve)();
-//# sourceMappingURL=p256.js.map

esm/p256.js.map

-{"version":3,"file":"p256.js","sourceRoot":"","sources":["../src/p256.ts"],"names":[],"mappings":"AAAA;;;GAGG;AACH,sEAAsE;AACtE,OAAO,EAAkB,MAAM,6BAA6B,CAAC;AAC7D,OAAO,EAAE,WAAW,EAAE,IAAI,IAAI,KAAK,EAAE,MAAM,WAAW,CAAC;AACvD,sEAAsE;AACtE,MAAM,CAAC,MAAM,IAAI,GAAiB,KAAK,CAAC;AACxC,sEAAsE;AACtE,MAAM,CAAC,MAAM,SAAS,GAAiB,KAAK,CAAC;AAC7C,6EAA6E;AAC7E,MAAM,CAAC,MAAM,WAAW,GAAsB,eAAe,CAAC,CAAC,GAAG,EAAE,CAAC,WAAW,CAAC,WAAW,CAAC,EAAE,CAAC;AAChG,6EAA6E;AAC7E,MAAM,CAAC,MAAM,aAAa,GAAsB,eAAe,CAAC,CAAC,GAAG,EAAE,CAAC,WAAW,CAAC,aAAa,CAAC,EAAE,CAAC"}

esm/p384.d.ts

-/**
- * NIST secp384r1 aka p384.
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { type H2CMethod } from './abstract/hash-to-curve.ts';
-import { p384 as p384n } from './nist.ts';
-/** @deprecated use `import { p384 } from '@noble/curves/nist.js';` */
-export declare const p384: typeof p384n;
-/** @deprecated use `import { p384 } from '@noble/curves/nist.js';` */
-export declare const secp384r1: typeof p384n;
-/** @deprecated use `import { p384_hasher } from '@noble/curves/nist.js';` */
-export declare const hashToCurve: H2CMethod<bigint>;
-/** @deprecated use `import { p384_hasher } from '@noble/curves/nist.js';` */
-export declare const encodeToCurve: H2CMethod<bigint>;
-//# sourceMappingURL=p384.d.ts.map

esm/p384.d.ts.map

-{"version":3,"file":"p384.d.ts","sourceRoot":"","sources":["../src/p384.ts"],"names":[],"mappings":"AAAA;;;GAGG;AACH,sEAAsE;AACtE,OAAO,EAAE,KAAK,SAAS,EAAE,MAAM,6BAA6B,CAAC;AAC7D,OAAO,EAAe,IAAI,IAAI,KAAK,EAAE,MAAM,WAAW,CAAC;AACvD,sEAAsE;AACtE,eAAO,MAAM,IAAI,EAAE,OAAO,KAAa,CAAC;AACxC,sEAAsE;AACtE,eAAO,MAAM,SAAS,EAAE,OAAO,KAAa,CAAC;AAC7C,6EAA6E;AAC7E,eAAO,MAAM,WAAW,EAAE,SAAS,CAAC,MAAM,CAAqD,CAAC;AAChG,6EAA6E;AAC7E,eAAO,MAAM,aAAa,EAAE,SAAS,CAAC,MAAM,CAAuD,CAAC"}

esm/p384.js

-/**
- * NIST secp384r1 aka p384.
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import {} from "./abstract/hash-to-curve.js";
-import { p384_hasher, p384 as p384n } from "./nist.js";
-/** @deprecated use `import { p384 } from '@noble/curves/nist.js';` */
-export const p384 = p384n;
-/** @deprecated use `import { p384 } from '@noble/curves/nist.js';` */
-export const secp384r1 = p384n;
-/** @deprecated use `import { p384_hasher } from '@noble/curves/nist.js';` */
-export const hashToCurve = /* @__PURE__ */ (() => p384_hasher.hashToCurve)();
-/** @deprecated use `import { p384_hasher } from '@noble/curves/nist.js';` */
-export const encodeToCurve = /* @__PURE__ */ (() => p384_hasher.encodeToCurve)();
-//# sourceMappingURL=p384.js.map

esm/p384.js.map

-{"version":3,"file":"p384.js","sourceRoot":"","sources":["../src/p384.ts"],"names":[],"mappings":"AAAA;;;GAGG;AACH,sEAAsE;AACtE,OAAO,EAAkB,MAAM,6BAA6B,CAAC;AAC7D,OAAO,EAAE,WAAW,EAAE,IAAI,IAAI,KAAK,EAAE,MAAM,WAAW,CAAC;AACvD,sEAAsE;AACtE,MAAM,CAAC,MAAM,IAAI,GAAiB,KAAK,CAAC;AACxC,sEAAsE;AACtE,MAAM,CAAC,MAAM,SAAS,GAAiB,KAAK,CAAC;AAC7C,6EAA6E;AAC7E,MAAM,CAAC,MAAM,WAAW,GAAsB,eAAe,CAAC,CAAC,GAAG,EAAE,CAAC,WAAW,CAAC,WAAW,CAAC,EAAE,CAAC;AAChG,6EAA6E;AAC7E,MAAM,CAAC,MAAM,aAAa,GAAsB,eAAe,CAAC,CAAC,GAAG,EAAE,CAAC,WAAW,CAAC,aAAa,CAAC,EAAE,CAAC"}

esm/p521.d.ts

-/**
- * NIST secp521r1 aka p521.
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { type H2CMethod } from './abstract/hash-to-curve.ts';
-import { p521 as p521n } from './nist.ts';
-/** @deprecated use `import { p521 } from '@noble/curves/nist.js';` */
-export declare const p521: typeof p521n;
-/** @deprecated use `import { p521 } from '@noble/curves/nist.js';` */
-export declare const secp521r1: typeof p521n;
-/** @deprecated use `import { p521_hasher } from '@noble/curves/nist.js';` */
-export declare const hashToCurve: H2CMethod<bigint>;
-/** @deprecated use `import { p521_hasher } from '@noble/curves/nist.js';` */
-export declare const encodeToCurve: H2CMethod<bigint>;
-//# sourceMappingURL=p521.d.ts.map

esm/p521.d.ts.map

-{"version":3,"file":"p521.d.ts","sourceRoot":"","sources":["../src/p521.ts"],"names":[],"mappings":"AAAA;;;GAGG;AACH,sEAAsE;AACtE,OAAO,EAAE,KAAK,SAAS,EAAE,MAAM,6BAA6B,CAAC;AAC7D,OAAO,EAAe,IAAI,IAAI,KAAK,EAAE,MAAM,WAAW,CAAC;AACvD,sEAAsE;AACtE,eAAO,MAAM,IAAI,EAAE,OAAO,KAAa,CAAC;AACxC,sEAAsE;AACtE,eAAO,MAAM,SAAS,EAAE,OAAO,KAAa,CAAC;AAC7C,6EAA6E;AAC7E,eAAO,MAAM,WAAW,EAAE,SAAS,CAAC,MAAM,CAAqD,CAAC;AAChG,6EAA6E;AAC7E,eAAO,MAAM,aAAa,EAAE,SAAS,CAAC,MAAM,CAAuD,CAAC"}

esm/p521.js

-/**
- * NIST secp521r1 aka p521.
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import {} from "./abstract/hash-to-curve.js";
-import { p521_hasher, p521 as p521n } from "./nist.js";
-/** @deprecated use `import { p521 } from '@noble/curves/nist.js';` */
-export const p521 = p521n;
-/** @deprecated use `import { p521 } from '@noble/curves/nist.js';` */
-export const secp521r1 = p521n;
-/** @deprecated use `import { p521_hasher } from '@noble/curves/nist.js';` */
-export const hashToCurve = /* @__PURE__ */ (() => p521_hasher.hashToCurve)();
-/** @deprecated use `import { p521_hasher } from '@noble/curves/nist.js';` */
-export const encodeToCurve = /* @__PURE__ */ (() => p521_hasher.encodeToCurve)();
-//# sourceMappingURL=p521.js.map

esm/p521.js.map

-{"version":3,"file":"p521.js","sourceRoot":"","sources":["../src/p521.ts"],"names":[],"mappings":"AAAA;;;GAGG;AACH,sEAAsE;AACtE,OAAO,EAAkB,MAAM,6BAA6B,CAAC;AAC7D,OAAO,EAAE,WAAW,EAAE,IAAI,IAAI,KAAK,EAAE,MAAM,WAAW,CAAC;AACvD,sEAAsE;AACtE,MAAM,CAAC,MAAM,IAAI,GAAiB,KAAK,CAAC;AACxC,sEAAsE;AACtE,MAAM,CAAC,MAAM,SAAS,GAAiB,KAAK,CAAC;AAC7C,6EAA6E;AAC7E,MAAM,CAAC,MAAM,WAAW,GAAsB,eAAe,CAAC,CAAC,GAAG,EAAE,CAAC,WAAW,CAAC,WAAW,CAAC,EAAE,CAAC;AAChG,6EAA6E;AAC7E,MAAM,CAAC,MAAM,aAAa,GAAsB,eAAe,CAAC,CAAC,GAAG,EAAE,CAAC,WAAW,CAAC,aAAa,CAAC,EAAE,CAAC"}

esm/package.json

-{
-  "type": "module",
-  "sideEffects": false
-}

esm/pasta.d.ts

-/**
- * @deprecated
- * @module
- */
-import { pallas as pn, vesta as vn } from './misc.ts';
-/** @deprecated */
-export declare const pallas: typeof pn;
-/** @deprecated */
-export declare const vesta: typeof vn;
-//# sourceMappingURL=pasta.d.ts.map

esm/pasta.d.ts.map

-{"version":3,"file":"pasta.d.ts","sourceRoot":"","sources":["../src/pasta.ts"],"names":[],"mappings":"AAAA;;;GAGG;AACH,OAAO,EAAE,MAAM,IAAI,EAAE,EAAE,KAAK,IAAI,EAAE,EAAE,MAAM,WAAW,CAAC;AACtD,kBAAkB;AAClB,eAAO,MAAM,MAAM,EAAE,OAAO,EAAO,CAAC;AACpC,kBAAkB;AAClB,eAAO,MAAM,KAAK,EAAE,OAAO,EAAO,CAAC"}

esm/pasta.js

-/**
- * @deprecated
- * @module
- */
-import { pallas as pn, vesta as vn } from "./misc.js";
-/** @deprecated */
-export const pallas = pn;
-/** @deprecated */
-export const vesta = vn;
-//# sourceMappingURL=pasta.js.map

esm/pasta.js.map

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esm/secp256k1.d.ts

-import { type CurveFnWithCreate } from './_shortw_utils.ts';
-import type { CurveLengths } from './abstract/curve.ts';
-import { type H2CHasher, type H2CMethod } from './abstract/hash-to-curve.ts';
-import { mod } from './abstract/modular.ts';
-import { type WeierstrassPoint as PointType, type WeierstrassPointCons } from './abstract/weierstrass.ts';
-import type { Hex, PrivKey } from './utils.ts';
-import { bytesToNumberBE, numberToBytesBE } from './utils.ts';
-/**
- * secp256k1 curve, ECDSA and ECDH methods.
- *
- * Field: `2n**256n - 2n**32n - 2n**9n - 2n**8n - 2n**7n - 2n**6n - 2n**4n - 1n`
- *
- * @example
- * ```js
- * import { secp256k1 } from '@noble/curves/secp256k1';
- * const { secretKey, publicKey } = secp256k1.keygen();
- * const msg = new TextEncoder().encode('hello');
- * const sig = secp256k1.sign(msg, secretKey);
- * const isValid = secp256k1.verify(sig, msg, publicKey) === true;
- * ```
- */
-export declare const secp256k1: CurveFnWithCreate;
-declare function taggedHash(tag: string, ...messages: Uint8Array[]): Uint8Array;
-/**
- * lift_x from BIP340. Convert 32-byte x coordinate to elliptic curve point.
- * @returns valid point checked for being on-curve
- */
-declare function lift_x(x: bigint): PointType<bigint>;
-/**
- * Schnorr public key is just `x` coordinate of Point as per BIP340.
- */
-declare function schnorrGetPublicKey(secretKey: Hex): Uint8Array;
-/**
- * Creates Schnorr signature as per BIP340. Verifies itself before returning anything.
- * auxRand is optional and is not the sole source of k generation: bad CSPRNG won't be dangerous.
- */
-declare function schnorrSign(message: Hex, secretKey: PrivKey, auxRand?: Hex): Uint8Array;
-/**
- * Verifies Schnorr signature.
- * Will swallow errors & return false except for initial type validation of arguments.
- */
-declare function schnorrVerify(signature: Hex, message: Hex, publicKey: Hex): boolean;
-export type SecpSchnorr = {
-    keygen: (seed?: Uint8Array) => {
-        secretKey: Uint8Array;
-        publicKey: Uint8Array;
-    };
-    getPublicKey: typeof schnorrGetPublicKey;
-    sign: typeof schnorrSign;
-    verify: typeof schnorrVerify;
-    Point: WeierstrassPointCons<bigint>;
-    utils: {
-        randomSecretKey: (seed?: Uint8Array) => Uint8Array;
-        pointToBytes: (point: PointType<bigint>) => Uint8Array;
-        lift_x: typeof lift_x;
-        taggedHash: typeof taggedHash;
-        /** @deprecated use `randomSecretKey` */
-        randomPrivateKey: (seed?: Uint8Array) => Uint8Array;
-        /** @deprecated use `utils` */
-        numberToBytesBE: typeof numberToBytesBE;
-        /** @deprecated use `utils` */
-        bytesToNumberBE: typeof bytesToNumberBE;
-        /** @deprecated use `modular` */
-        mod: typeof mod;
-    };
-    lengths: CurveLengths;
-};
-/**
- * Schnorr signatures over secp256k1.
- * https://github.com/bitcoin/bips/blob/master/bip-0340.mediawiki
- * @example
- * ```js
- * import { schnorr } from '@noble/curves/secp256k1';
- * const { secretKey, publicKey } = schnorr.keygen();
- * // const publicKey = schnorr.getPublicKey(secretKey);
- * const msg = new TextEncoder().encode('hello');
- * const sig = schnorr.sign(msg, secretKey);
- * const isValid = schnorr.verify(sig, msg, publicKey);
- * ```
- */
-export declare const schnorr: SecpSchnorr;
-/** Hashing / encoding to secp256k1 points / field. RFC 9380 methods. */
-export declare const secp256k1_hasher: H2CHasher<bigint>;
-/** @deprecated use `import { secp256k1_hasher } from '@noble/curves/secp256k1.js';` */
-export declare const hashToCurve: H2CMethod<bigint>;
-/** @deprecated use `import { secp256k1_hasher } from '@noble/curves/secp256k1.js';` */
-export declare const encodeToCurve: H2CMethod<bigint>;
-export {};
-//# sourceMappingURL=secp256k1.d.ts.map

esm/secp256k1.d.ts.map

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esm/secp256k1.js

-/**
- * SECG secp256k1. See [pdf](https://www.secg.org/sec2-v2.pdf).
- *
- * Belongs to Koblitz curves: it has efficiently-computable GLV endomorphism ψ,
- * check out {@link EndomorphismOpts}. Seems to be rigid (not backdoored).
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { sha256 } from '@noble/hashes/sha2.js';
-import { randomBytes } from '@noble/hashes/utils.js';
-import { createCurve } from "./_shortw_utils.js";
-import { createHasher, isogenyMap, } from "./abstract/hash-to-curve.js";
-import { Field, mapHashToField, mod, pow2 } from "./abstract/modular.js";
-import { _normFnElement, mapToCurveSimpleSWU, } from "./abstract/weierstrass.js";
-import { bytesToNumberBE, concatBytes, ensureBytes, inRange, numberToBytesBE, utf8ToBytes, } from "./utils.js";
-// Seems like generator was produced from some seed:
-// `Point.BASE.multiply(Point.Fn.inv(2n, N)).toAffine().x`
-// // gives short x 0x3b78ce563f89a0ed9414f5aa28ad0d96d6795f9c63n
-const secp256k1_CURVE = {
-    p: BigInt('0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f'),
-    n: BigInt('0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141'),
-    h: BigInt(1),
-    a: BigInt(0),
-    b: BigInt(7),
-    Gx: BigInt('0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798'),
-    Gy: BigInt('0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8'),
-};
-const secp256k1_ENDO = {
-    beta: BigInt('0x7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee'),
-    basises: [
-        [BigInt('0x3086d221a7d46bcde86c90e49284eb15'), -BigInt('0xe4437ed6010e88286f547fa90abfe4c3')],
-        [BigInt('0x114ca50f7a8e2f3f657c1108d9d44cfd8'), BigInt('0x3086d221a7d46bcde86c90e49284eb15')],
-    ],
-};
-const _0n = /* @__PURE__ */ BigInt(0);
-const _1n = /* @__PURE__ */ BigInt(1);
-const _2n = /* @__PURE__ */ BigInt(2);
-/**
- * √n = n^((p+1)/4) for fields p = 3 mod 4. We unwrap the loop and multiply bit-by-bit.
- * (P+1n/4n).toString(2) would produce bits [223x 1, 0, 22x 1, 4x 0, 11, 00]
- */
-function sqrtMod(y) {
-    const P = secp256k1_CURVE.p;
-    // prettier-ignore
-    const _3n = BigInt(3), _6n = BigInt(6), _11n = BigInt(11), _22n = BigInt(22);
-    // prettier-ignore
-    const _23n = BigInt(23), _44n = BigInt(44), _88n = BigInt(88);
-    const b2 = (y * y * y) % P; // x^3, 11
-    const b3 = (b2 * b2 * y) % P; // x^7
-    const b6 = (pow2(b3, _3n, P) * b3) % P;
-    const b9 = (pow2(b6, _3n, P) * b3) % P;
-    const b11 = (pow2(b9, _2n, P) * b2) % P;
-    const b22 = (pow2(b11, _11n, P) * b11) % P;
-    const b44 = (pow2(b22, _22n, P) * b22) % P;
-    const b88 = (pow2(b44, _44n, P) * b44) % P;
-    const b176 = (pow2(b88, _88n, P) * b88) % P;
-    const b220 = (pow2(b176, _44n, P) * b44) % P;
-    const b223 = (pow2(b220, _3n, P) * b3) % P;
-    const t1 = (pow2(b223, _23n, P) * b22) % P;
-    const t2 = (pow2(t1, _6n, P) * b2) % P;
-    const root = pow2(t2, _2n, P);
-    if (!Fpk1.eql(Fpk1.sqr(root), y))
-        throw new Error('Cannot find square root');
-    return root;
-}
-const Fpk1 = Field(secp256k1_CURVE.p, { sqrt: sqrtMod });
-/**
- * secp256k1 curve, ECDSA and ECDH methods.
- *
- * Field: `2n**256n - 2n**32n - 2n**9n - 2n**8n - 2n**7n - 2n**6n - 2n**4n - 1n`
- *
- * @example
- * ```js
- * import { secp256k1 } from '@noble/curves/secp256k1';
- * const { secretKey, publicKey } = secp256k1.keygen();
- * const msg = new TextEncoder().encode('hello');
- * const sig = secp256k1.sign(msg, secretKey);
- * const isValid = secp256k1.verify(sig, msg, publicKey) === true;
- * ```
- */
-export const secp256k1 = createCurve({ ...secp256k1_CURVE, Fp: Fpk1, lowS: true, endo: secp256k1_ENDO }, sha256);
-// Schnorr signatures are superior to ECDSA from above. Below is Schnorr-specific BIP0340 code.
-// https://github.com/bitcoin/bips/blob/master/bip-0340.mediawiki
-/** An object mapping tags to their tagged hash prefix of [SHA256(tag) | SHA256(tag)] */
-const TAGGED_HASH_PREFIXES = {};
-function taggedHash(tag, ...messages) {
-    let tagP = TAGGED_HASH_PREFIXES[tag];
-    if (tagP === undefined) {
-        const tagH = sha256(utf8ToBytes(tag));
-        tagP = concatBytes(tagH, tagH);
-        TAGGED_HASH_PREFIXES[tag] = tagP;
-    }
-    return sha256(concatBytes(tagP, ...messages));
-}
-// ECDSA compact points are 33-byte. Schnorr is 32: we strip first byte 0x02 or 0x03
-const pointToBytes = (point) => point.toBytes(true).slice(1);
-const Pointk1 = /* @__PURE__ */ (() => secp256k1.Point)();
-const hasEven = (y) => y % _2n === _0n;
-// Calculate point, scalar and bytes
-function schnorrGetExtPubKey(priv) {
-    const { Fn, BASE } = Pointk1;
-    const d_ = _normFnElement(Fn, priv);
-    const p = BASE.multiply(d_); // P = d'⋅G; 0 < d' < n check is done inside
-    const scalar = hasEven(p.y) ? d_ : Fn.neg(d_);
-    return { scalar, bytes: pointToBytes(p) };
-}
-/**
- * lift_x from BIP340. Convert 32-byte x coordinate to elliptic curve point.
- * @returns valid point checked for being on-curve
- */
-function lift_x(x) {
-    const Fp = Fpk1;
-    if (!Fp.isValidNot0(x))
-        throw new Error('invalid x: Fail if x ≥ p');
-    const xx = Fp.create(x * x);
-    const c = Fp.create(xx * x + BigInt(7)); // Let c = x³ + 7 mod p.
-    let y = Fp.sqrt(c); // Let y = c^(p+1)/4 mod p. Same as sqrt().
-    // Return the unique point P such that x(P) = x and
-    // y(P) = y if y mod 2 = 0 or y(P) = p-y otherwise.
-    if (!hasEven(y))
-        y = Fp.neg(y);
-    const p = Pointk1.fromAffine({ x, y });
-    p.assertValidity();
-    return p;
-}
-const num = bytesToNumberBE;
-/**
- * Create tagged hash, convert it to bigint, reduce modulo-n.
- */
-function challenge(...args) {
-    return Pointk1.Fn.create(num(taggedHash('BIP0340/challenge', ...args)));
-}
-/**
- * Schnorr public key is just `x` coordinate of Point as per BIP340.
- */
-function schnorrGetPublicKey(secretKey) {
-    return schnorrGetExtPubKey(secretKey).bytes; // d'=int(sk). Fail if d'=0 or d'≥n. Ret bytes(d'⋅G)
-}
-/**
- * Creates Schnorr signature as per BIP340. Verifies itself before returning anything.
- * auxRand is optional and is not the sole source of k generation: bad CSPRNG won't be dangerous.
- */
-function schnorrSign(message, secretKey, auxRand = randomBytes(32)) {
-    const { Fn } = Pointk1;
-    const m = ensureBytes('message', message);
-    const { bytes: px, scalar: d } = schnorrGetExtPubKey(secretKey); // checks for isWithinCurveOrder
-    const a = ensureBytes('auxRand', auxRand, 32); // Auxiliary random data a: a 32-byte array
-    const t = Fn.toBytes(d ^ num(taggedHash('BIP0340/aux', a))); // Let t be the byte-wise xor of bytes(d) and hash/aux(a)
-    const rand = taggedHash('BIP0340/nonce', t, px, m); // Let rand = hash/nonce(t || bytes(P) || m)
-    // Let k' = int(rand) mod n. Fail if k' = 0. Let R = k'⋅G
-    const { bytes: rx, scalar: k } = schnorrGetExtPubKey(rand);
-    const e = challenge(rx, px, m); // Let e = int(hash/challenge(bytes(R) || bytes(P) || m)) mod n.
-    const sig = new Uint8Array(64); // Let sig = bytes(R) || bytes((k + ed) mod n).
-    sig.set(rx, 0);
-    sig.set(Fn.toBytes(Fn.create(k + e * d)), 32);
-    // If Verify(bytes(P), m, sig) (see below) returns failure, abort
-    if (!schnorrVerify(sig, m, px))
-        throw new Error('sign: Invalid signature produced');
-    return sig;
-}
-/**
- * Verifies Schnorr signature.
- * Will swallow errors & return false except for initial type validation of arguments.
- */
-function schnorrVerify(signature, message, publicKey) {
-    const { Fn, BASE } = Pointk1;
-    const sig = ensureBytes('signature', signature, 64);
-    const m = ensureBytes('message', message);
-    const pub = ensureBytes('publicKey', publicKey, 32);
-    try {
-        const P = lift_x(num(pub)); // P = lift_x(int(pk)); fail if that fails
-        const r = num(sig.subarray(0, 32)); // Let r = int(sig[0:32]); fail if r ≥ p.
-        if (!inRange(r, _1n, secp256k1_CURVE.p))
-            return false;
-        const s = num(sig.subarray(32, 64)); // Let s = int(sig[32:64]); fail if s ≥ n.
-        if (!inRange(s, _1n, secp256k1_CURVE.n))
-            return false;
-        // int(challenge(bytes(r)||bytes(P)||m))%n
-        const e = challenge(Fn.toBytes(r), pointToBytes(P), m);
-        // R = s⋅G - e⋅P, where -eP == (n-e)P
-        const R = BASE.multiplyUnsafe(s).add(P.multiplyUnsafe(Fn.neg(e)));
-        const { x, y } = R.toAffine();
-        // Fail if is_infinite(R) / not has_even_y(R) / x(R) ≠ r.
-        if (R.is0() || !hasEven(y) || x !== r)
-            return false;
-        return true;
-    }
-    catch (error) {
-        return false;
-    }
-}
-/**
- * Schnorr signatures over secp256k1.
- * https://github.com/bitcoin/bips/blob/master/bip-0340.mediawiki
- * @example
- * ```js
- * import { schnorr } from '@noble/curves/secp256k1';
- * const { secretKey, publicKey } = schnorr.keygen();
- * // const publicKey = schnorr.getPublicKey(secretKey);
- * const msg = new TextEncoder().encode('hello');
- * const sig = schnorr.sign(msg, secretKey);
- * const isValid = schnorr.verify(sig, msg, publicKey);
- * ```
- */
-export const schnorr = /* @__PURE__ */ (() => {
-    const size = 32;
-    const seedLength = 48;
-    const randomSecretKey = (seed = randomBytes(seedLength)) => {
-        return mapHashToField(seed, secp256k1_CURVE.n);
-    };
-    // TODO: remove
-    secp256k1.utils.randomSecretKey;
-    function keygen(seed) {
-        const secretKey = randomSecretKey(seed);
-        return { secretKey, publicKey: schnorrGetPublicKey(secretKey) };
-    }
-    return {
-        keygen,
-        getPublicKey: schnorrGetPublicKey,
-        sign: schnorrSign,
-        verify: schnorrVerify,
-        Point: Pointk1,
-        utils: {
-            randomSecretKey: randomSecretKey,
-            randomPrivateKey: randomSecretKey,
-            taggedHash,
-            // TODO: remove
-            lift_x,
-            pointToBytes,
-            numberToBytesBE,
-            bytesToNumberBE,
-            mod,
-        },
-        lengths: {
-            secretKey: size,
-            publicKey: size,
-            publicKeyHasPrefix: false,
-            signature: size * 2,
-            seed: seedLength,
-        },
-    };
-})();
-const isoMap = /* @__PURE__ */ (() => isogenyMap(Fpk1, [
-    // xNum
-    [
-        '0x8e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38daaaaa8c7',
-        '0x7d3d4c80bc321d5b9f315cea7fd44c5d595d2fc0bf63b92dfff1044f17c6581',
-        '0x534c328d23f234e6e2a413deca25caece4506144037c40314ecbd0b53d9dd262',
-        '0x8e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38daaaaa88c',
-    ],
-    // xDen
-    [
-        '0xd35771193d94918a9ca34ccbb7b640dd86cd409542f8487d9fe6b745781eb49b',
-        '0xedadc6f64383dc1df7c4b2d51b54225406d36b641f5e41bbc52a56612a8c6d14',
-        '0x0000000000000000000000000000000000000000000000000000000000000001', // LAST 1
-    ],
-    // yNum
-    [
-        '0x4bda12f684bda12f684bda12f684bda12f684bda12f684bda12f684b8e38e23c',
-        '0xc75e0c32d5cb7c0fa9d0a54b12a0a6d5647ab046d686da6fdffc90fc201d71a3',
-        '0x29a6194691f91a73715209ef6512e576722830a201be2018a765e85a9ecee931',
-        '0x2f684bda12f684bda12f684bda12f684bda12f684bda12f684bda12f38e38d84',
-    ],
-    // yDen
-    [
-        '0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffff93b',
-        '0x7a06534bb8bdb49fd5e9e6632722c2989467c1bfc8e8d978dfb425d2685c2573',
-        '0x6484aa716545ca2cf3a70c3fa8fe337e0a3d21162f0d6299a7bf8192bfd2a76f',
-        '0x0000000000000000000000000000000000000000000000000000000000000001', // LAST 1
-    ],
-].map((i) => i.map((j) => BigInt(j)))))();
-const mapSWU = /* @__PURE__ */ (() => mapToCurveSimpleSWU(Fpk1, {
-    A: BigInt('0x3f8731abdd661adca08a5558f0f5d272e953d363cb6f0e5d405447c01a444533'),
-    B: BigInt('1771'),
-    Z: Fpk1.create(BigInt('-11')),
-}))();
-/** Hashing / encoding to secp256k1 points / field. RFC 9380 methods. */
-export const secp256k1_hasher = /* @__PURE__ */ (() => createHasher(secp256k1.Point, (scalars) => {
-    const { x, y } = mapSWU(Fpk1.create(scalars[0]));
-    return isoMap(x, y);
-}, {
-    DST: 'secp256k1_XMD:SHA-256_SSWU_RO_',
-    encodeDST: 'secp256k1_XMD:SHA-256_SSWU_NU_',
-    p: Fpk1.ORDER,
-    m: 1,
-    k: 128,
-    expand: 'xmd',
-    hash: sha256,
-}))();
-/** @deprecated use `import { secp256k1_hasher } from '@noble/curves/secp256k1.js';` */
-export const hashToCurve = /* @__PURE__ */ (() => secp256k1_hasher.hashToCurve)();
-/** @deprecated use `import { secp256k1_hasher } from '@noble/curves/secp256k1.js';` */
-export const encodeToCurve = /* @__PURE__ */ (() => secp256k1_hasher.encodeToCurve)();
-//# sourceMappingURL=secp256k1.js.map

esm/secp256k1.js.map

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esm/utils.d.ts

-export { abytes, anumber, bytesToHex, bytesToUtf8, concatBytes, hexToBytes, isBytes, randomBytes, utf8ToBytes, } from '@noble/hashes/utils.js';
-export type Hex = Uint8Array | string;
-export type PrivKey = Hex | bigint;
-export type CHash = {
-    (message: Uint8Array | string): Uint8Array;
-    blockLen: number;
-    outputLen: number;
-    create(opts?: {
-        dkLen?: number;
-    }): any;
-};
-export type FHash = (message: Uint8Array | string) => Uint8Array;
-export declare function abool(title: string, value: boolean): void;
-export declare function _abool2(value: boolean, title?: string): boolean;
-/** Asserts something is Uint8Array. */
-export declare function _abytes2(value: Uint8Array, length?: number, title?: string): Uint8Array;
-export declare function numberToHexUnpadded(num: number | bigint): string;
-export declare function hexToNumber(hex: string): bigint;
-export declare function bytesToNumberBE(bytes: Uint8Array): bigint;
-export declare function bytesToNumberLE(bytes: Uint8Array): bigint;
-export declare function numberToBytesBE(n: number | bigint, len: number): Uint8Array;
-export declare function numberToBytesLE(n: number | bigint, len: number): Uint8Array;
-export declare function numberToVarBytesBE(n: number | bigint): Uint8Array;
-/**
- * Takes hex string or Uint8Array, converts to Uint8Array.
- * Validates output length.
- * Will throw error for other types.
- * @param title descriptive title for an error e.g. 'secret key'
- * @param hex hex string or Uint8Array
- * @param expectedLength optional, will compare to result array's length
- * @returns
- */
-export declare function ensureBytes(title: string, hex: Hex, expectedLength?: number): Uint8Array;
-export declare function equalBytes(a: Uint8Array, b: Uint8Array): boolean;
-/**
- * Copies Uint8Array. We can't use u8a.slice(), because u8a can be Buffer,
- * and Buffer#slice creates mutable copy. Never use Buffers!
- */
-export declare function copyBytes(bytes: Uint8Array): Uint8Array;
-/**
- * Decodes 7-bit ASCII string to Uint8Array, throws on non-ascii symbols
- * Should be safe to use for things expected to be ASCII.
- * Returns exact same result as utf8ToBytes for ASCII or throws.
- */
-export declare function asciiToBytes(ascii: string): Uint8Array;
-export declare function inRange(n: bigint, min: bigint, max: bigint): boolean;
-/**
- * Asserts min <= n < max. NOTE: It's < max and not <= max.
- * @example
- * aInRange('x', x, 1n, 256n); // would assume x is in (1n..255n)
- */
-export declare function aInRange(title: string, n: bigint, min: bigint, max: bigint): void;
-/**
- * Calculates amount of bits in a bigint.
- * Same as `n.toString(2).length`
- * TODO: merge with nLength in modular
- */
-export declare function bitLen(n: bigint): number;
-/**
- * Gets single bit at position.
- * NOTE: first bit position is 0 (same as arrays)
- * Same as `!!+Array.from(n.toString(2)).reverse()[pos]`
- */
-export declare function bitGet(n: bigint, pos: number): bigint;
-/**
- * Sets single bit at position.
- */
-export declare function bitSet(n: bigint, pos: number, value: boolean): bigint;
-/**
- * Calculate mask for N bits. Not using ** operator with bigints because of old engines.
- * Same as BigInt(`0b${Array(i).fill('1').join('')}`)
- */
-export declare const bitMask: (n: number) => bigint;
-type Pred<T> = (v: Uint8Array) => T | undefined;
-/**
- * Minimal HMAC-DRBG from NIST 800-90 for RFC6979 sigs.
- * @returns function that will call DRBG until 2nd arg returns something meaningful
- * @example
- *   const drbg = createHmacDRBG<Key>(32, 32, hmac);
- *   drbg(seed, bytesToKey); // bytesToKey must return Key or undefined
- */
-export declare function createHmacDrbg<T>(hashLen: number, qByteLen: number, hmacFn: (key: Uint8Array, ...messages: Uint8Array[]) => Uint8Array): (seed: Uint8Array, predicate: Pred<T>) => T;
-declare const validatorFns: {
-    readonly bigint: (val: any) => boolean;
-    readonly function: (val: any) => boolean;
-    readonly boolean: (val: any) => boolean;
-    readonly string: (val: any) => boolean;
-    readonly stringOrUint8Array: (val: any) => boolean;
-    readonly isSafeInteger: (val: any) => boolean;
-    readonly array: (val: any) => boolean;
-    readonly field: (val: any, object: any) => any;
-    readonly hash: (val: any) => boolean;
-};
-type Validator = keyof typeof validatorFns;
-type ValMap<T extends Record<string, any>> = {
-    [K in keyof T]?: Validator;
-};
-export declare function validateObject<T extends Record<string, any>>(object: T, validators: ValMap<T>, optValidators?: ValMap<T>): T;
-export declare function isHash(val: CHash): boolean;
-export declare function _validateObject(object: Record<string, any>, fields: Record<string, string>, optFields?: Record<string, string>): void;
-/**
- * throws not implemented error
- */
-export declare const notImplemented: () => never;
-/**
- * Memoizes (caches) computation result.
- * Uses WeakMap: the value is going auto-cleaned by GC after last reference is removed.
- */
-export declare function memoized<T extends object, R, O extends any[]>(fn: (arg: T, ...args: O) => R): (arg: T, ...args: O) => R;
-//# sourceMappingURL=utils.d.ts.map

esm/utils.d.ts.map

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esm/utils.js

-/**
- * Hex, bytes and number utilities.
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { abytes as abytes_, bytesToHex as bytesToHex_, concatBytes as concatBytes_, hexToBytes as hexToBytes_, isBytes as isBytes_, } from '@noble/hashes/utils.js';
-export { abytes, anumber, bytesToHex, bytesToUtf8, concatBytes, hexToBytes, isBytes, randomBytes, utf8ToBytes, } from '@noble/hashes/utils.js';
-const _0n = /* @__PURE__ */ BigInt(0);
-const _1n = /* @__PURE__ */ BigInt(1);
-export function abool(title, value) {
-    if (typeof value !== 'boolean')
-        throw new Error(title + ' boolean expected, got ' + value);
-}
-// tmp name until v2
-export function _abool2(value, title = '') {
-    if (typeof value !== 'boolean') {
-        const prefix = title && `"${title}"`;
-        throw new Error(prefix + 'expected boolean, got type=' + typeof value);
-    }
-    return value;
-}
-// tmp name until v2
-/** Asserts something is Uint8Array. */
-export function _abytes2(value, length, title = '') {
-    const bytes = isBytes_(value);
-    const len = value?.length;
-    const needsLen = length !== undefined;
-    if (!bytes || (needsLen && len !== length)) {
-        const prefix = title && `"${title}" `;
-        const ofLen = needsLen ? ` of length ${length}` : '';
-        const got = bytes ? `length=${len}` : `type=${typeof value}`;
-        throw new Error(prefix + 'expected Uint8Array' + ofLen + ', got ' + got);
-    }
-    return value;
-}
-// Used in weierstrass, der
-export function numberToHexUnpadded(num) {
-    const hex = num.toString(16);
-    return hex.length & 1 ? '0' + hex : hex;
-}
-export function hexToNumber(hex) {
-    if (typeof hex !== 'string')
-        throw new Error('hex string expected, got ' + typeof hex);
-    return hex === '' ? _0n : BigInt('0x' + hex); // Big Endian
-}
-// BE: Big Endian, LE: Little Endian
-export function bytesToNumberBE(bytes) {
-    return hexToNumber(bytesToHex_(bytes));
-}
-export function bytesToNumberLE(bytes) {
-    abytes_(bytes);
-    return hexToNumber(bytesToHex_(Uint8Array.from(bytes).reverse()));
-}
-export function numberToBytesBE(n, len) {
-    return hexToBytes_(n.toString(16).padStart(len * 2, '0'));
-}
-export function numberToBytesLE(n, len) {
-    return numberToBytesBE(n, len).reverse();
-}
-// Unpadded, rarely used
-export function numberToVarBytesBE(n) {
-    return hexToBytes_(numberToHexUnpadded(n));
-}
-/**
- * Takes hex string or Uint8Array, converts to Uint8Array.
- * Validates output length.
- * Will throw error for other types.
- * @param title descriptive title for an error e.g. 'secret key'
- * @param hex hex string or Uint8Array
- * @param expectedLength optional, will compare to result array's length
- * @returns
- */
-export function ensureBytes(title, hex, expectedLength) {
-    let res;
-    if (typeof hex === 'string') {
-        try {
-            res = hexToBytes_(hex);
-        }
-        catch (e) {
-            throw new Error(title + ' must be hex string or Uint8Array, cause: ' + e);
-        }
-    }
-    else if (isBytes_(hex)) {
-        // Uint8Array.from() instead of hash.slice() because node.js Buffer
-        // is instance of Uint8Array, and its slice() creates **mutable** copy
-        res = Uint8Array.from(hex);
-    }
-    else {
-        throw new Error(title + ' must be hex string or Uint8Array');
-    }
-    const len = res.length;
-    if (typeof expectedLength === 'number' && len !== expectedLength)
-        throw new Error(title + ' of length ' + expectedLength + ' expected, got ' + len);
-    return res;
-}
-// Compares 2 u8a-s in kinda constant time
-export function equalBytes(a, b) {
-    if (a.length !== b.length)
-        return false;
-    let diff = 0;
-    for (let i = 0; i < a.length; i++)
-        diff |= a[i] ^ b[i];
-    return diff === 0;
-}
-/**
- * Copies Uint8Array. We can't use u8a.slice(), because u8a can be Buffer,
- * and Buffer#slice creates mutable copy. Never use Buffers!
- */
-export function copyBytes(bytes) {
-    return Uint8Array.from(bytes);
-}
-/**
- * Decodes 7-bit ASCII string to Uint8Array, throws on non-ascii symbols
- * Should be safe to use for things expected to be ASCII.
- * Returns exact same result as utf8ToBytes for ASCII or throws.
- */
-export function asciiToBytes(ascii) {
-    return Uint8Array.from(ascii, (c, i) => {
-        const charCode = c.charCodeAt(0);
-        if (c.length !== 1 || charCode > 127) {
-            throw new Error(`string contains non-ASCII character "${ascii[i]}" with code ${charCode} at position ${i}`);
-        }
-        return charCode;
-    });
-}
-/**
- * @example utf8ToBytes('abc') // new Uint8Array([97, 98, 99])
- */
-// export const utf8ToBytes: typeof utf8ToBytes_ = utf8ToBytes_;
-/**
- * Converts bytes to string using UTF8 encoding.
- * @example bytesToUtf8(Uint8Array.from([97, 98, 99])) // 'abc'
- */
-// export const bytesToUtf8: typeof bytesToUtf8_ = bytesToUtf8_;
-// Is positive bigint
-const isPosBig = (n) => typeof n === 'bigint' && _0n <= n;
-export function inRange(n, min, max) {
-    return isPosBig(n) && isPosBig(min) && isPosBig(max) && min <= n && n < max;
-}
-/**
- * Asserts min <= n < max. NOTE: It's < max and not <= max.
- * @example
- * aInRange('x', x, 1n, 256n); // would assume x is in (1n..255n)
- */
-export function aInRange(title, n, min, max) {
-    // Why min <= n < max and not a (min < n < max) OR b (min <= n <= max)?
-    // consider P=256n, min=0n, max=P
-    // - a for min=0 would require -1:          `inRange('x', x, -1n, P)`
-    // - b would commonly require subtraction:  `inRange('x', x, 0n, P - 1n)`
-    // - our way is the cleanest:               `inRange('x', x, 0n, P)
-    if (!inRange(n, min, max))
-        throw new Error('expected valid ' + title + ': ' + min + ' <= n < ' + max + ', got ' + n);
-}
-// Bit operations
-/**
- * Calculates amount of bits in a bigint.
- * Same as `n.toString(2).length`
- * TODO: merge with nLength in modular
- */
-export function bitLen(n) {
-    let len;
-    for (len = 0; n > _0n; n >>= _1n, len += 1)
-        ;
-    return len;
-}
-/**
- * Gets single bit at position.
- * NOTE: first bit position is 0 (same as arrays)
- * Same as `!!+Array.from(n.toString(2)).reverse()[pos]`
- */
-export function bitGet(n, pos) {
-    return (n >> BigInt(pos)) & _1n;
-}
-/**
- * Sets single bit at position.
- */
-export function bitSet(n, pos, value) {
-    return n | ((value ? _1n : _0n) << BigInt(pos));
-}
-/**
- * Calculate mask for N bits. Not using ** operator with bigints because of old engines.
- * Same as BigInt(`0b${Array(i).fill('1').join('')}`)
- */
-export const bitMask = (n) => (_1n << BigInt(n)) - _1n;
-/**
- * Minimal HMAC-DRBG from NIST 800-90 for RFC6979 sigs.
- * @returns function that will call DRBG until 2nd arg returns something meaningful
- * @example
- *   const drbg = createHmacDRBG<Key>(32, 32, hmac);
- *   drbg(seed, bytesToKey); // bytesToKey must return Key or undefined
- */
-export function createHmacDrbg(hashLen, qByteLen, hmacFn) {
-    if (typeof hashLen !== 'number' || hashLen < 2)
-        throw new Error('hashLen must be a number');
-    if (typeof qByteLen !== 'number' || qByteLen < 2)
-        throw new Error('qByteLen must be a number');
-    if (typeof hmacFn !== 'function')
-        throw new Error('hmacFn must be a function');
-    // Step B, Step C: set hashLen to 8*ceil(hlen/8)
-    const u8n = (len) => new Uint8Array(len); // creates Uint8Array
-    const u8of = (byte) => Uint8Array.of(byte); // another shortcut
-    let v = u8n(hashLen); // Minimal non-full-spec HMAC-DRBG from NIST 800-90 for RFC6979 sigs.
-    let k = u8n(hashLen); // Steps B and C of RFC6979 3.2: set hashLen, in our case always same
-    let i = 0; // Iterations counter, will throw when over 1000
-    const reset = () => {
-        v.fill(1);
-        k.fill(0);
-        i = 0;
-    };
-    const h = (...b) => hmacFn(k, v, ...b); // hmac(k)(v, ...values)
-    const reseed = (seed = u8n(0)) => {
-        // HMAC-DRBG reseed() function. Steps D-G
-        k = h(u8of(0x00), seed); // k = hmac(k || v || 0x00 || seed)
-        v = h(); // v = hmac(k || v)
-        if (seed.length === 0)
-            return;
-        k = h(u8of(0x01), seed); // k = hmac(k || v || 0x01 || seed)
-        v = h(); // v = hmac(k || v)
-    };
-    const gen = () => {
-        // HMAC-DRBG generate() function
-        if (i++ >= 1000)
-            throw new Error('drbg: tried 1000 values');
-        let len = 0;
-        const out = [];
-        while (len < qByteLen) {
-            v = h();
-            const sl = v.slice();
-            out.push(sl);
-            len += v.length;
-        }
-        return concatBytes_(...out);
-    };
-    const genUntil = (seed, pred) => {
-        reset();
-        reseed(seed); // Steps D-G
-        let res = undefined; // Step H: grind until k is in [1..n-1]
-        while (!(res = pred(gen())))
-            reseed();
-        reset();
-        return res;
-    };
-    return genUntil;
-}
-// Validating curves and fields
-const validatorFns = {
-    bigint: (val) => typeof val === 'bigint',
-    function: (val) => typeof val === 'function',
-    boolean: (val) => typeof val === 'boolean',
-    string: (val) => typeof val === 'string',
-    stringOrUint8Array: (val) => typeof val === 'string' || isBytes_(val),
-    isSafeInteger: (val) => Number.isSafeInteger(val),
-    array: (val) => Array.isArray(val),
-    field: (val, object) => object.Fp.isValid(val),
-    hash: (val) => typeof val === 'function' && Number.isSafeInteger(val.outputLen),
-};
-// type Record<K extends string | number | symbol, T> = { [P in K]: T; }
-export function validateObject(object, validators, optValidators = {}) {
-    const checkField = (fieldName, type, isOptional) => {
-        const checkVal = validatorFns[type];
-        if (typeof checkVal !== 'function')
-            throw new Error('invalid validator function');
-        const val = object[fieldName];
-        if (isOptional && val === undefined)
-            return;
-        if (!checkVal(val, object)) {
-            throw new Error('param ' + String(fieldName) + ' is invalid. Expected ' + type + ', got ' + val);
-        }
-    };
-    for (const [fieldName, type] of Object.entries(validators))
-        checkField(fieldName, type, false);
-    for (const [fieldName, type] of Object.entries(optValidators))
-        checkField(fieldName, type, true);
-    return object;
-}
-// validate type tests
-// const o: { a: number; b: number; c: number } = { a: 1, b: 5, c: 6 };
-// const z0 = validateObject(o, { a: 'isSafeInteger' }, { c: 'bigint' }); // Ok!
-// // Should fail type-check
-// const z1 = validateObject(o, { a: 'tmp' }, { c: 'zz' });
-// const z2 = validateObject(o, { a: 'isSafeInteger' }, { c: 'zz' });
-// const z3 = validateObject(o, { test: 'boolean', z: 'bug' });
-// const z4 = validateObject(o, { a: 'boolean', z: 'bug' });
-export function isHash(val) {
-    return typeof val === 'function' && Number.isSafeInteger(val.outputLen);
-}
-export function _validateObject(object, fields, optFields = {}) {
-    if (!object || typeof object !== 'object')
-        throw new Error('expected valid options object');
-    function checkField(fieldName, expectedType, isOpt) {
-        const val = object[fieldName];
-        if (isOpt && val === undefined)
-            return;
-        const current = typeof val;
-        if (current !== expectedType || val === null)
-            throw new Error(`param "${fieldName}" is invalid: expected ${expectedType}, got ${current}`);
-    }
-    Object.entries(fields).forEach(([k, v]) => checkField(k, v, false));
-    Object.entries(optFields).forEach(([k, v]) => checkField(k, v, true));
-}
-/**
- * throws not implemented error
- */
-export const notImplemented = () => {
-    throw new Error('not implemented');
-};
-/**
- * Memoizes (caches) computation result.
- * Uses WeakMap: the value is going auto-cleaned by GC after last reference is removed.
- */
-export function memoized(fn) {
-    const map = new WeakMap();
-    return (arg, ...args) => {
-        const val = map.get(arg);
-        if (val !== undefined)
-            return val;
-        const computed = fn(arg, ...args);
-        map.set(arg, computed);
-        return computed;
-    };
-}
-//# sourceMappingURL=utils.js.map

esm/utils.js.map

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src/_shortw_utils.ts

-/**
- * Utilities for short weierstrass curves, combined with noble-hashes.
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { type CurveFn, type CurveType, weierstrass } from './abstract/weierstrass.ts';
-import type { CHash } from './utils.ts';
-
-/** connects noble-curves to noble-hashes */
-export function getHash(hash: CHash): { hash: CHash } {
-  return { hash };
-}
-/** Same API as @noble/hashes, with ability to create curve with custom hash */
-export type CurveDef = Readonly<Omit<CurveType, 'hash'>>;
-export type CurveFnWithCreate = CurveFn & { create: (hash: CHash) => CurveFn };
-
-/** @deprecated use new `weierstrass()` and `ecdsa()` methods */
-export function createCurve(curveDef: CurveDef, defHash: CHash): CurveFnWithCreate {
-  const create = (hash: CHash): CurveFn => weierstrass({ ...curveDef, hash: hash });
-  return { ...create(defHash), create };
-}

src/abstract/utils.ts

-/**
- * @module
- */
-export * from '../utils.ts';
-
-// TODO
-// @deprecated use `@noble/curves/utils.js`

src/jubjub.ts

-/**
- * @deprecated
- * @module
- */
-import { jubjub_findGroupHash, jubjub_groupHash, jubjub as jubjubn } from './misc.ts';
-
-/** @deprecated use `import { jubjub } from '@noble/curves/misc.js';` */
-export const jubjub: typeof jubjubn = jubjubn;
-/** @deprecated use `import { jubjub_findGroupHash } from '@noble/curves/misc.js';` */
-export const findGroupHash: typeof jubjub_findGroupHash = jubjub_findGroupHash;
-/** @deprecated use `import { jubjub_groupHash } from '@noble/curves/misc.js';` */
-export const groupHash: typeof jubjub_groupHash = jubjub_groupHash;

src/p256.ts

-/**
- * NIST secp256r1 aka p256.
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { type H2CMethod } from './abstract/hash-to-curve.ts';
-import { p256_hasher, p256 as p256n } from './nist.ts';
-/** @deprecated use `import { p256 } from '@noble/curves/nist.js';` */
-export const p256: typeof p256n = p256n;
-/** @deprecated use `import { p256 } from '@noble/curves/nist.js';` */
-export const secp256r1: typeof p256n = p256n;
-/** @deprecated use `import { p256_hasher } from '@noble/curves/nist.js';` */
-export const hashToCurve: H2CMethod<bigint> = /* @__PURE__ */ (() => p256_hasher.hashToCurve)();
-/** @deprecated use `import { p256_hasher } from '@noble/curves/nist.js';` */
-export const encodeToCurve: H2CMethod<bigint> = /* @__PURE__ */ (() => p256_hasher.encodeToCurve)();

src/p384.ts

-/**
- * NIST secp384r1 aka p384.
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { type H2CMethod } from './abstract/hash-to-curve.ts';
-import { p384_hasher, p384 as p384n } from './nist.ts';
-/** @deprecated use `import { p384 } from '@noble/curves/nist.js';` */
-export const p384: typeof p384n = p384n;
-/** @deprecated use `import { p384 } from '@noble/curves/nist.js';` */
-export const secp384r1: typeof p384n = p384n;
-/** @deprecated use `import { p384_hasher } from '@noble/curves/nist.js';` */
-export const hashToCurve: H2CMethod<bigint> = /* @__PURE__ */ (() => p384_hasher.hashToCurve)();
-/** @deprecated use `import { p384_hasher } from '@noble/curves/nist.js';` */
-export const encodeToCurve: H2CMethod<bigint> = /* @__PURE__ */ (() => p384_hasher.encodeToCurve)();

src/p521.ts

-/**
- * NIST secp521r1 aka p521.
- * @module
- */
-/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
-import { type H2CMethod } from './abstract/hash-to-curve.ts';
-import { p521_hasher, p521 as p521n } from './nist.ts';
-/** @deprecated use `import { p521 } from '@noble/curves/nist.js';` */
-export const p521: typeof p521n = p521n;
-/** @deprecated use `import { p521 } from '@noble/curves/nist.js';` */
-export const secp521r1: typeof p521n = p521n;
-/** @deprecated use `import { p521_hasher } from '@noble/curves/nist.js';` */
-export const hashToCurve: H2CMethod<bigint> = /* @__PURE__ */ (() => p521_hasher.hashToCurve)();
-/** @deprecated use `import { p521_hasher } from '@noble/curves/nist.js';` */
-export const encodeToCurve: H2CMethod<bigint> = /* @__PURE__ */ (() => p521_hasher.encodeToCurve)();

src/package.json

-{
-  "type": "module"
-}

src/pasta.ts

-/**
- * @deprecated
- * @module
- */
-import { pallas as pn, vesta as vn } from './misc.ts';
-/** @deprecated */
-export const pallas: typeof pn = pn;
-/** @deprecated */
-export const vesta: typeof vn = vn;

New alerts

Deprecated

Maintenance

The maintainer of the package marked it as deprecated. This could indicate that a single version should not be used, or that the package is no longer maintained and any new vulnerabilities will not be fixed.

No v1

Quality

Package is not semver >=1. This means it is not stable and does not support ^ ranges.

Improved metrics

Number of medium supply chain risk alerts

2

-33.33%

Is type module

Yes

NaN

Worsened metrics

Total package byte prevSize

1233804

-39.31%

Number of package files

136

-43.1%

Lines of code

19968

-34.1%

Number of medium maintenance alerts

1

Infinity%

Number of low quality alerts

1

Infinity%

Number of lines in readme file

856

-15.25%

Dependency changes

• + Added

  @noble/hashes@2.0.0-beta.3
  (transitive)

• - Removed

  @noble/hashes@1.8.0
  (transitive)

• Updated

  @noble/hashes@2.0.0-beta.3