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@thi.ng/math
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@thi.ng/math - npm Package Compare versions
Comparing version 2.0.4 to 2.1.0
@@ -1,3 +0,4 @@ | ||
| export declare const absDiff: (x: number, y: number) => number; | ||
| import type { FnN2 } from "@thi.ng/api"; | ||
| export declare const absDiff: FnN2; | ||
| export declare const sign: (x: number, eps?: number) => 1 | 0 | -1; | ||
| //# sourceMappingURL=abs.d.ts.map |
@@ -0,1 +1,2 @@ | ||
| import type { FnN, FnN2, FnN3 } from "@thi.ng/api"; | ||
| /** | ||
@@ -20,4 +21,4 @@ * Returns vector of `[sin(theta)*n, cos(theta)*n]`. | ||
| */ | ||
| export declare const absTheta: (theta: number) => number; | ||
| export declare const absInnerAngle: (theta: number) => number; | ||
| export declare const absTheta: FnN; | ||
| export declare const absInnerAngle: FnN; | ||
| /** | ||
@@ -30,3 +31,3 @@ * Returns smallest absolute angle difference between `a` and `b`. | ||
| */ | ||
| export declare const angleDist: (a: number, b: number) => number; | ||
| export declare const angleDist: FnN2; | ||
| /** | ||
@@ -38,3 +39,3 @@ * Like `Math.atan2`, but always returns angle in [0 .. TAU) interval. | ||
| */ | ||
| export declare const atan2Abs: (y: number, x: number) => number; | ||
| export declare const atan2Abs: FnN2; | ||
| /** | ||
@@ -45,3 +46,3 @@ * Returns quadrant ID (0-3) of given angle (in radians). | ||
| */ | ||
| export declare const quadrant: (theta: number) => number; | ||
| export declare const quadrant: FnN; | ||
| /** | ||
@@ -52,3 +53,3 @@ * Converts angle to degrees. | ||
| */ | ||
| export declare const deg: (theta: number) => number; | ||
| export declare const deg: FnN; | ||
| /** | ||
@@ -59,3 +60,3 @@ * Converts angle to radians. | ||
| */ | ||
| export declare const rad: (theta: number) => number; | ||
| export declare const rad: FnN; | ||
| /** | ||
@@ -66,3 +67,3 @@ * Cosecant. Approaches `±Infinity` for `theta` near multiples of π. | ||
| */ | ||
| export declare const csc: (theta: number) => number; | ||
| export declare const csc: FnN; | ||
| /** | ||
@@ -73,3 +74,3 @@ * Secant. Approaches `±Infinity` for `theta` near π/2 ± nπ | ||
| */ | ||
| export declare const sec: (theta: number) => number; | ||
| export declare const sec: FnN; | ||
| /** | ||
@@ -80,3 +81,3 @@ * Cotangent. Approaches `±Infinity` for `theta` near multiples of π. | ||
| */ | ||
| export declare const cot: (theta: number) => number; | ||
| export declare const cot: FnN; | ||
| /** | ||
@@ -90,3 +91,3 @@ * Law of Cosines. Takes length of two sides of a triangle and the inner | ||
| */ | ||
| export declare const loc: (a: number, b: number, gamma: number) => number; | ||
| export declare const loc: FnN3; | ||
| /** | ||
@@ -97,3 +98,3 @@ * Approximates cos(xπ) for x in [-1,1] | ||
| */ | ||
| export declare const normCos: (x: number) => number; | ||
| export declare const normCos: FnN; | ||
| /** | ||
@@ -107,3 +108,3 @@ * Fast cosine approximation using {@link normCos} (polynomial). Max. error | ||
| */ | ||
| export declare const fastCos: (theta: number) => number; | ||
| export declare const fastCos: FnN; | ||
| /** | ||
@@ -114,3 +115,3 @@ * {@link fastCos} | ||
| */ | ||
| export declare const fastSin: (theta: number) => number; | ||
| export declare const fastSin: FnN; | ||
| //# sourceMappingURL=angle.d.ts.map |
@@ -6,2 +6,13 @@ # Change Log | ||
| # [2.1.0](https://github.com/thi-ng/umbrella/compare/@thi.ng/math@2.0.4...@thi.ng/math@2.1.0) (2020-09-13) | ||
| ### Features | ||
| * **math:** add lens(), invCircular() interpolators ([56dce17](https://github.com/thi-ng/umbrella/commit/56dce1779ee314179771fa14f31d0f36e1ec6a12)) | ||
| ## [2.0.4](https://github.com/thi-ng/umbrella/compare/@thi.ng/math@2.0.3...@thi.ng/math@2.0.4) (2020-08-28) | ||
@@ -8,0 +19,0 @@ |
@@ -0,1 +1,2 @@ | ||
| import type { FnU4 } from "@thi.ng/api"; | ||
| import { Crossing } from "./api"; | ||
@@ -18,3 +19,3 @@ /** | ||
| */ | ||
| export declare const isCrossOver: (a1: number, a2: number, b1: number, b2: number) => boolean; | ||
| export declare const isCrossOver: FnU4<number, boolean>; | ||
| /** | ||
@@ -36,3 +37,3 @@ * Returns true if line A rises up over B. | ||
| */ | ||
| export declare const isCrossUnder: (a1: number, a2: number, b1: number, b2: number) => boolean; | ||
| export declare const isCrossUnder: FnU4<number, boolean>; | ||
| /** | ||
@@ -39,0 +40,0 @@ * Returns {@link Crossing} classifier indicating the relationship of line A |
@@ -0,1 +1,2 @@ | ||
| import type { FnU3 } from "@thi.ng/api"; | ||
| /** | ||
@@ -8,3 +9,3 @@ * Returns true if `b` is a local minima, i.e. iff a > b and b < c. | ||
| */ | ||
| export declare const isMinima: (a: number, b: number, c: number) => boolean; | ||
| export declare const isMinima: FnU3<number, boolean>; | ||
| /** | ||
@@ -17,3 +18,3 @@ * Returns true if `b` is a local maxima, i.e. iff a < b and b > c. | ||
| */ | ||
| export declare const isMaxima: (a: number, b: number, c: number) => boolean; | ||
| export declare const isMaxima: FnU3<number, boolean>; | ||
| /** | ||
@@ -20,0 +21,0 @@ * Returns index of the first local & internal minima found in given |
13
fit.d.ts
@@ -0,1 +1,2 @@ | ||
| import type { FnN3, FnN5 } from "@thi.ng/api"; | ||
| /** | ||
@@ -9,8 +10,8 @@ * Returns normalized value of `x` WRT to interval `a .. b`. If `a` | ||
| */ | ||
| export declare const norm: (x: number, a: number, b: number) => number; | ||
| export declare const fit: (x: number, a: number, b: number, c: number, d: number) => number; | ||
| export declare const fitClamped: (x: number, a: number, b: number, c: number, d: number) => number; | ||
| export declare const fit01: (x: number, a: number, b: number) => number; | ||
| export declare const fit10: (x: number, a: number, b: number) => number; | ||
| export declare const fit11: (x: number, a: number, b: number) => number; | ||
| export declare const norm: FnN3; | ||
| export declare const fit: FnN5; | ||
| export declare const fitClamped: FnN5; | ||
| export declare const fit01: FnN3; | ||
| export declare const fit10: FnN3; | ||
| export declare const fit11: FnN3; | ||
| //# sourceMappingURL=fit.d.ts.map |
@@ -10,3 +10,3 @@ import { clamp01, clamp11 } from "./interval"; | ||
| */ | ||
| export const norm = (x, a, b) => b !== a ? (x - a) / (b - a) : 0; | ||
| export const norm = (x, a, b) => (b !== a ? (x - a) / (b - a) : 0); | ||
| export const fit = (x, a, b, c, d) => c + (d - c) * norm(x, a, b); | ||
@@ -13,0 +13,0 @@ export const fitClamped = (x, a, b, c, d) => c + (d - c) * clamp01(norm(x, a, b)); |
125
int.d.ts
@@ -1,63 +0,64 @@ | ||
| export declare const signExtend8: (a: number) => number; | ||
| export declare const signExtend16: (a: number) => number; | ||
| export declare const addi8: (a: number, b: number) => number; | ||
| export declare const divi8: (a: number, b: number) => number; | ||
| export declare const muli8: (a: number, b: number) => number; | ||
| export declare const subi8: (a: number, b: number) => number; | ||
| export declare const andi8: (a: number, b: number) => number; | ||
| export declare const ori8: (a: number, b: number) => number; | ||
| export declare const xori8: (a: number, b: number) => number; | ||
| export declare const noti8: (a: number) => number; | ||
| export declare const lshifti8: (a: number, b: number) => number; | ||
| export declare const rshifti8: (a: number, b: number) => number; | ||
| export declare const addi16: (a: number, b: number) => number; | ||
| export declare const divi16: (a: number, b: number) => number; | ||
| export declare const muli16: (a: number, b: number) => number; | ||
| export declare const subi16: (a: number, b: number) => number; | ||
| export declare const andi16: (a: number, b: number) => number; | ||
| export declare const ori16: (a: number, b: number) => number; | ||
| export declare const xori16: (a: number, b: number) => number; | ||
| export declare const noti16: (a: number) => number; | ||
| export declare const lshifti16: (a: number, b: number) => number; | ||
| export declare const rshifti16: (a: number, b: number) => number; | ||
| export declare const addi32: (a: number, b: number) => number; | ||
| export declare const divi32: (a: number, b: number) => number; | ||
| export declare const muli32: (a: number, b: number) => number; | ||
| export declare const subi32: (a: number, b: number) => number; | ||
| export declare const andi32: (a: number, b: number) => number; | ||
| export declare const ori32: (a: number, b: number) => number; | ||
| export declare const xori32: (a: number, b: number) => number; | ||
| export declare const lshifti32: (a: number, b: number) => number; | ||
| export declare const rshifti32: (a: number, b: number) => number; | ||
| export declare const noti32: (a: number) => number; | ||
| export declare const addu8: (a: number, b: number) => number; | ||
| export declare const divu8: (a: number, b: number) => number; | ||
| export declare const mulu8: (a: number, b: number) => number; | ||
| export declare const subu8: (a: number, b: number) => number; | ||
| export declare const andu8: (a: number, b: number) => number; | ||
| export declare const oru8: (a: number, b: number) => number; | ||
| export declare const xoru8: (a: number, b: number) => number; | ||
| export declare const notu8: (a: number) => number; | ||
| export declare const lshiftu8: (a: number, b: number) => number; | ||
| export declare const rshiftu8: (a: number, b: number) => number; | ||
| export declare const addu16: (a: number, b: number) => number; | ||
| export declare const divu16: (a: number, b: number) => number; | ||
| export declare const mulu16: (a: number, b: number) => number; | ||
| export declare const subu16: (a: number, b: number) => number; | ||
| export declare const andu16: (a: number, b: number) => number; | ||
| export declare const oru16: (a: number, b: number) => number; | ||
| export declare const xoru16: (a: number, b: number) => number; | ||
| export declare const notu16: (a: number) => number; | ||
| export declare const lshiftu16: (a: number, b: number) => number; | ||
| export declare const rshiftu16: (a: number, b: number) => number; | ||
| export declare const addu32: (a: number, b: number) => number; | ||
| export declare const divu32: (a: number, b: number) => number; | ||
| export declare const mulu32: (a: number, b: number) => number; | ||
| export declare const subu32: (a: number, b: number) => number; | ||
| export declare const andu32: (a: number, b: number) => number; | ||
| export declare const oru32: (a: number, b: number) => number; | ||
| export declare const xoru32: (a: number, b: number) => number; | ||
| export declare const notu32: (a: number) => number; | ||
| export declare const lshiftu32: (a: number, b: number) => number; | ||
| export declare const rshiftu32: (a: number, b: number) => number; | ||
| import type { FnN, FnN2 } from "@thi.ng/api"; | ||
| export declare const signExtend8: FnN; | ||
| export declare const signExtend16: FnN; | ||
| export declare const addi8: FnN2; | ||
| export declare const divi8: FnN2; | ||
| export declare const muli8: FnN2; | ||
| export declare const subi8: FnN2; | ||
| export declare const andi8: FnN2; | ||
| export declare const ori8: FnN2; | ||
| export declare const xori8: FnN2; | ||
| export declare const noti8: FnN; | ||
| export declare const lshifti8: FnN2; | ||
| export declare const rshifti8: FnN2; | ||
| export declare const addi16: FnN2; | ||
| export declare const divi16: FnN2; | ||
| export declare const muli16: FnN2; | ||
| export declare const subi16: FnN2; | ||
| export declare const andi16: FnN2; | ||
| export declare const ori16: FnN2; | ||
| export declare const xori16: FnN2; | ||
| export declare const noti16: FnN; | ||
| export declare const lshifti16: FnN2; | ||
| export declare const rshifti16: FnN2; | ||
| export declare const addi32: FnN2; | ||
| export declare const divi32: FnN2; | ||
| export declare const muli32: FnN2; | ||
| export declare const subi32: FnN2; | ||
| export declare const andi32: FnN2; | ||
| export declare const ori32: FnN2; | ||
| export declare const xori32: FnN2; | ||
| export declare const lshifti32: FnN2; | ||
| export declare const rshifti32: FnN2; | ||
| export declare const noti32: FnN; | ||
| export declare const addu8: FnN2; | ||
| export declare const divu8: FnN2; | ||
| export declare const mulu8: FnN2; | ||
| export declare const subu8: FnN2; | ||
| export declare const andu8: FnN2; | ||
| export declare const oru8: FnN2; | ||
| export declare const xoru8: FnN2; | ||
| export declare const notu8: FnN; | ||
| export declare const lshiftu8: FnN2; | ||
| export declare const rshiftu8: FnN2; | ||
| export declare const addu16: FnN2; | ||
| export declare const divu16: FnN2; | ||
| export declare const mulu16: FnN2; | ||
| export declare const subu16: FnN2; | ||
| export declare const andu16: FnN2; | ||
| export declare const oru16: FnN2; | ||
| export declare const xoru16: FnN2; | ||
| export declare const notu16: FnN; | ||
| export declare const lshiftu16: FnN2; | ||
| export declare const rshiftu16: FnN2; | ||
| export declare const addu32: FnN2; | ||
| export declare const divu32: FnN2; | ||
| export declare const mulu32: FnN2; | ||
| export declare const subu32: FnN2; | ||
| export declare const andu32: FnN2; | ||
| export declare const oru32: FnN2; | ||
| export declare const xoru32: FnN2; | ||
| export declare const notu32: FnN; | ||
| export declare const lshiftu32: FnN2; | ||
| export declare const rshiftu32: FnN2; | ||
| //# sourceMappingURL=int.d.ts.map |
26
int.js
@@ -13,5 +13,3 @@ const M8 = 0xff; | ||
| export const noti8 = (a) => signExtend8(~a); | ||
| // prettier-ignore | ||
| export const lshifti8 = (a, b) => signExtend8((a | 0) << (b | 0)); | ||
| // prettier-ignore | ||
| export const rshifti8 = (a, b) => signExtend8((a | 0) >> (b | 0)); | ||
@@ -26,5 +24,3 @@ export const addi16 = (a, b) => signExtend16((a | 0) + (b | 0)); | ||
| export const noti16 = (a) => signExtend16(~a); | ||
| // prettier-ignore | ||
| export const lshifti16 = (a, b) => signExtend16((a | 0) << (b | 0)); | ||
| // prettier-ignore | ||
| export const rshifti16 = (a, b) => signExtend16((a | 0) >> (b | 0)); | ||
@@ -41,15 +37,8 @@ export const addi32 = (a, b) => ((a | 0) + (b | 0)) | 0; | ||
| export const noti32 = (a) => ~a; | ||
| // prettier-ignore | ||
| export const addu8 = (a, b) => ((a & M8) + (b & M8)) & M8; | ||
| // prettier-ignore | ||
| export const divu8 = (a, b) => ((a & M8) / (b & M8)) & M8; | ||
| // prettier-ignore | ||
| export const mulu8 = (a, b) => ((a & M8) * (b & M8)) & M8; | ||
| // prettier-ignore | ||
| export const subu8 = (a, b) => ((a & M8) - (b & M8)) & M8; | ||
| // prettier-ignore | ||
| export const andu8 = (a, b) => ((a & M8) & (b & M8)) & M8; | ||
| // prettier-ignore | ||
| export const andu8 = (a, b) => a & M8 & (b & M8) & M8; | ||
| export const oru8 = (a, b) => ((a & M8) | (b & M8)) & M8; | ||
| // prettier-ignore | ||
| export const xoru8 = (a, b) => ((a & M8) ^ (b & M8)) & M8; | ||
@@ -59,20 +48,11 @@ export const notu8 = (a) => ~a & M8; | ||
| export const rshiftu8 = (a, b) => ((a & M8) >>> (b & M8)) & M8; | ||
| // prettier-ignore | ||
| export const addu16 = (a, b) => ((a & M16) + (b & M16)) & M16; | ||
| // prettier-ignore | ||
| export const divu16 = (a, b) => ((a & M16) / (b & M16)) & M16; | ||
| // prettier-ignore | ||
| export const mulu16 = (a, b) => ((a & M16) * (b & M16)) & M16; | ||
| // prettier-ignore | ||
| export const subu16 = (a, b) => ((a & M16) - (b & M16)) & M16; | ||
| // prettier-ignore | ||
| export const andu16 = (a, b) => ((a & M16) & (b & M16)) & M16; | ||
| // prettier-ignore | ||
| export const andu16 = (a, b) => a & M16 & (b & M16) & M16; | ||
| export const oru16 = (a, b) => ((a & M16) | (b & M16)) & M16; | ||
| // prettier-ignore | ||
| export const xoru16 = (a, b) => ((a & M16) ^ (b & M16)) & M16; | ||
| export const notu16 = (a) => ~a & M16; | ||
| // prettier-ignore | ||
| export const lshiftu16 = (a, b) => ((a & M16) << (b & M16)) & M16; | ||
| // prettier-ignore | ||
| export const rshiftu16 = (a, b) => ((a & M16) >>> (b & M16)) & M16; | ||
@@ -87,5 +67,3 @@ export const addu32 = (a, b) => ((a >>> 0) + (b >>> 0)) >>> 0; | ||
| export const notu32 = (a) => ~a >>> 0; | ||
| // prettier-ignore | ||
| export const lshiftu32 = (a, b) => ((a >>> 0) << (b >>> 0)) >>> 0; | ||
| // prettier-ignore | ||
| export const rshiftu32 = (a, b) => ((a >>> 0) >>> (b >>> 0)) >>> 0; |
@@ -0,1 +1,2 @@ | ||
| import type { FnN, FnN2, FnN3, FnN4, FnU3 } from "@thi.ng/api"; | ||
| /** | ||
@@ -8,3 +9,3 @@ * Clamps value `x` to given closed interval. | ||
| */ | ||
| export declare const clamp: (x: number, min: number, max: number) => number; | ||
| export declare const clamp: FnN3; | ||
| /** | ||
@@ -15,3 +16,3 @@ * Clamps value `x` to closed [0 .. 1] interval. | ||
| */ | ||
| export declare const clamp01: (x: number) => number; | ||
| export declare const clamp01: FnN; | ||
| /** | ||
@@ -22,3 +23,3 @@ * Clamps value `x` to closed [-1 .. 1] interval. | ||
| */ | ||
| export declare const clamp11: (x: number) => number; | ||
| export declare const clamp11: FnN; | ||
| /** | ||
@@ -29,3 +30,3 @@ * Clamps value `x` to closed [0 .. 0.5] interval. | ||
| */ | ||
| export declare const clamp05: (x: number) => number; | ||
| export declare const clamp05: FnN; | ||
| /** | ||
@@ -39,3 +40,3 @@ * Folds `x` back inside closed [min..max] interval. Also see | ||
| */ | ||
| export declare const wrap: (x: number, min: number, max: number) => number; | ||
| export declare const wrap: FnN3; | ||
| /** | ||
@@ -50,3 +51,3 @@ * Like {@link wrap}, but optimized for cases where `x` is guaranteed to | ||
| */ | ||
| export declare const wrapOnce: (x: number, min: number, max: number) => number; | ||
| export declare const wrapOnce: FnN3; | ||
| /** | ||
@@ -57,3 +58,3 @@ * Similar to {@link wrapOnce} for [0..1] interval. | ||
| */ | ||
| export declare const wrap01: (x: number) => number; | ||
| export declare const wrap01: FnN; | ||
| /** | ||
@@ -64,9 +65,9 @@ * Similar to {@link wrapOnce} for [-1..1] interval. | ||
| */ | ||
| export declare const wrap11: (x: number) => number; | ||
| export declare const min2id: (a: number, b: number) => 1 | 0; | ||
| export declare const min3id: (a: number, b: number, c: number) => 1 | 2 | 0; | ||
| export declare const min4id: (a: number, b: number, c: number, d: number) => 1 | 2 | 3 | 0; | ||
| export declare const max2id: (a: number, b: number) => 1 | 0; | ||
| export declare const max3id: (a: number, b: number, c: number) => 1 | 2 | 0; | ||
| export declare const max4id: (a: number, b: number, c: number, d: number) => 1 | 2 | 3 | 0; | ||
| export declare const wrap11: FnN; | ||
| export declare const min2id: FnN2; | ||
| export declare const min3id: FnN3; | ||
| export declare const min4id: FnN4; | ||
| export declare const max2id: FnN2; | ||
| export declare const max3id: FnN3; | ||
| export declare const max4id: FnN4; | ||
| /** | ||
@@ -78,3 +79,3 @@ * Returns the non-zero minimum value of the given `a`, `b` args. | ||
| */ | ||
| export declare const minNonZero2: (a: number, b: number) => number; | ||
| export declare const minNonZero2: FnN2; | ||
| /** | ||
@@ -87,3 +88,3 @@ * Returns the non-zero minimum value of the given `a`, `b`, `c` args. | ||
| */ | ||
| export declare const minNonZero3: (a: number, b: number, c: number) => number; | ||
| export declare const minNonZero3: FnN3; | ||
| /** | ||
@@ -96,3 +97,3 @@ * See `smax()`. | ||
| */ | ||
| export declare const smin: (a: number, b: number, k: number) => number; | ||
| export declare const smin: FnN3; | ||
| /** | ||
@@ -109,3 +110,3 @@ * Smooth maximum. Note: Result values will be slightly larger than max | ||
| */ | ||
| export declare const smax: (a: number, b: number, k: number) => number; | ||
| export declare const smax: FnN3; | ||
| /** | ||
@@ -119,5 +120,5 @@ * Same as `smin(smax(x, min, k), max, k)`. | ||
| */ | ||
| export declare const sclamp: (x: number, min: number, max: number, k: number) => number; | ||
| export declare const absMin: (a: number, b: number) => number; | ||
| export declare const absMax: (a: number, b: number) => number; | ||
| export declare const sclamp: FnN4; | ||
| export declare const absMin: FnN2; | ||
| export declare const absMax: FnN2; | ||
| /** | ||
@@ -135,3 +136,3 @@ * If `abs(x) > abs(e)`, recursively mirrors `x` back into `[-e .. +e]` | ||
| */ | ||
| export declare const foldback: (e: number, x: number) => number; | ||
| export declare const foldback: FnN2; | ||
| /** | ||
@@ -144,3 +145,3 @@ * Returns true iff `x` is in closed interval `[min .. max]` | ||
| */ | ||
| export declare const inRange: (x: number, min: number, max: number) => boolean; | ||
| export declare const inRange: FnU3<number, boolean>; | ||
| /** | ||
@@ -153,3 +154,3 @@ * Returns true iff `x` is in open interval `(min .. max)` | ||
| */ | ||
| export declare const inOpenRange: (x: number, min: number, max: number) => boolean; | ||
| export declare const inOpenRange: FnU3<number, boolean>; | ||
| //# sourceMappingURL=interval.d.ts.map |
@@ -8,3 +8,3 @@ /** | ||
| */ | ||
| export const clamp = (x, min, max) => x < min ? min : x > max ? max : x; | ||
| export const clamp = (x, min, max) => (x < min ? min : x > max ? max : x); | ||
| /** | ||
@@ -157,4 +157,4 @@ * Clamps value `x` to closed [0 .. 1] interval. | ||
| export const sclamp = (x, min, max, k) => smin(smax(x, min, k), max, k); | ||
| export const absMin = (a, b) => Math.abs(a) < Math.abs(b) ? a : b; | ||
| export const absMax = (a, b) => Math.abs(a) > Math.abs(b) ? a : b; | ||
| export const absMin = (a, b) => (Math.abs(a) < Math.abs(b) ? a : b); | ||
| export const absMax = (a, b) => (Math.abs(a) > Math.abs(b) ? a : b); | ||
| /** | ||
@@ -161,0 +161,0 @@ * If `abs(x) > abs(e)`, recursively mirrors `x` back into `[-e .. +e]` |
@@ -126,3 +126,3 @@ 'use strict'; | ||
| const clamp = (x, min, max) => x < min ? min : x > max ? max : x; | ||
| const clamp = (x, min, max) => (x < min ? min : x > max ? max : x); | ||
| const clamp01 = (x) => (x < 0 ? 0 : x > 1 ? 1 : x); | ||
@@ -194,4 +194,4 @@ const clamp11 = (x) => (x < -1 ? -1 : x > 1 ? 1 : x); | ||
| const sclamp = (x, min, max, k) => smin(smax(x, min, k), max, k); | ||
| const absMin = (a, b) => Math.abs(a) < Math.abs(b) ? a : b; | ||
| const absMax = (a, b) => Math.abs(a) > Math.abs(b) ? a : b; | ||
| const absMin = (a, b) => (Math.abs(a) < Math.abs(b) ? a : b); | ||
| const absMax = (a, b) => (Math.abs(a) > Math.abs(b) ? a : b); | ||
| const foldback = (e, x) => x < -e || x > e ? Math.abs(Math.abs((x - e) % (4 * e)) - 2 * e) - e : x; | ||
@@ -201,3 +201,3 @@ const inRange = (x, min, max) => x >= min && x <= max; | ||
| const norm = (x, a, b) => b !== a ? (x - a) / (b - a) : 0; | ||
| const norm = (x, a, b) => (b !== a ? (x - a) / (b - a) : 0); | ||
| const fit = (x, a, b, c, d) => c + (d - c) * norm(x, a, b); | ||
@@ -247,3 +247,3 @@ const fitClamped = (x, a, b, c, d) => c + (d - c) * clamp01(norm(x, a, b)); | ||
| const subu8 = (a, b) => ((a & M8) - (b & M8)) & M8; | ||
| const andu8 = (a, b) => ((a & M8) & (b & M8)) & M8; | ||
| const andu8 = (a, b) => a & M8 & (b & M8) & M8; | ||
| const oru8 = (a, b) => ((a & M8) | (b & M8)) & M8; | ||
@@ -258,3 +258,3 @@ const xoru8 = (a, b) => ((a & M8) ^ (b & M8)) & M8; | ||
| const subu16 = (a, b) => ((a & M16) - (b & M16)) & M16; | ||
| const andu16 = (a, b) => ((a & M16) & (b & M16)) & M16; | ||
| const andu16 = (a, b) => a & M16 & (b & M16) & M16; | ||
| const oru16 = (a, b) => ((a & M16) | (b & M16)) & M16; | ||
@@ -329,2 +329,9 @@ const xoru16 = (a, b) => ((a & M16) ^ (b & M16)) & M16; | ||
| }; | ||
| const invCircular = (t) => 1 - circular(1 - t); | ||
| const lens = (pos, strength, t) => { | ||
| const impl = strength > 0 ? invCircular : circular; | ||
| const tp = 1 - pos; | ||
| const tl = t <= pos ? impl(t / pos) * pos : 1 - impl((1 - t) / tp) * tp; | ||
| return mix(t, tl, Math.abs(strength)); | ||
| }; | ||
| const cosine = (t) => 1 - (Math.cos(t * PI) * 0.5 + 0.5); | ||
@@ -386,3 +393,3 @@ const decimated = (n, t) => Math.floor(t * n) / n; | ||
| const derivative = (f, eps = EPS) => (x) => (f(x + eps) - f(x)) / eps; | ||
| const solveLinear = (a, b) => -b / a; | ||
| const solveLinear = (a, b) => safeDiv(-b, a); | ||
| const solveQuadratic = (a, b, c, eps = 1e-9) => { | ||
@@ -522,2 +529,3 @@ const d = 2 * a; | ||
| exports.inRange = inRange; | ||
| exports.invCircular = invCircular; | ||
| exports.isCrossOver = isCrossOver; | ||
@@ -527,2 +535,3 @@ exports.isCrossUnder = isCrossUnder; | ||
| exports.isMinima = isMinima; | ||
| exports.lens = lens; | ||
| exports.loc = loc; | ||
@@ -529,0 +538,0 @@ exports.lshifti16 = lshifti16; |
@@ -1,1 +0,1 @@ | ||
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83
mix.d.ts
@@ -1,2 +0,3 @@ | ||
| export declare const mix: (a: number, b: number, t: number) => number; | ||
| import type { FnN, FnN2, FnN3, FnN4, FnN5, FnN6 } from "@thi.ng/api"; | ||
| export declare const mix: FnN3; | ||
| /** | ||
@@ -19,5 +20,5 @@ * @example | ||
| */ | ||
| export declare const mixBilinear: (a: number, b: number, c: number, d: number, u: number, v: number) => number; | ||
| export declare const mixQuadratic: (a: number, b: number, c: number, t: number) => number; | ||
| export declare const mixCubic: (a: number, b: number, c: number, d: number, t: number) => number; | ||
| export declare const mixBilinear: FnN6; | ||
| export declare const mixQuadratic: FnN4; | ||
| export declare const mixCubic: FnN5; | ||
| /** | ||
@@ -48,3 +49,3 @@ * Returns hermite interpolation of `a, b, c, d` at normalized position | ||
| */ | ||
| export declare const mixHermite: (a: number, b: number, c: number, d: number, t: number) => number; | ||
| export declare const mixHermite: FnN5; | ||
| /** | ||
@@ -66,3 +67,3 @@ * Computes cubic-hermite interpolation between `a` / `b` at normalized | ||
| */ | ||
| export declare const mixCubicHermite: (a: number, ta: number, b: number, tb: number, t: number) => number; | ||
| export declare const mixCubicHermite: FnN5; | ||
| /** | ||
@@ -116,13 +117,49 @@ * Helper function for {@link mixCubicHermite}. Computes cardinal tangents | ||
| /** | ||
| * Circular interpolation: `sqrt(1 - (1 - t)^2)` | ||
| * Circular interpolation (ease out): `sqrt(1 - (1 - t)^2)` | ||
| * | ||
| * @param t - interpolation factor (0.0 .. 1.0) | ||
| * Reference: https://www.desmos.com/calculator/tisoiazdrw | ||
| * | ||
| * @param t - interpolation factor [0..1] | ||
| */ | ||
| export declare const circular: (t: number) => number; | ||
| export declare const cosine: (t: number) => number; | ||
| export declare const decimated: (n: number, t: number) => number; | ||
| export declare const bounce: (k: number, amp: number, t: number) => number; | ||
| export declare const circular: FnN; | ||
| /** | ||
| * HOF exponential easing. | ||
| * Inverse/flipped version of {@link circular} (ease in). | ||
| * | ||
| * Reference: https://www.desmos.com/calculator/tisoiazdrw | ||
| * | ||
| * @param t - interpolation factor [0..1] | ||
| */ | ||
| export declare const invCircular: FnN; | ||
| /** | ||
| * Zoomlens interpolation with customizable lens position, behavior and | ||
| * strength. | ||
| * | ||
| * @remarks | ||
| * Lens position must be given in (0..1) interval. Lens strength must be in | ||
| * [-1,1] range. If negative, the lens will be bundling values near `pos`, if | ||
| * positive the lens has dilating characteristics and will spread values near | ||
| * `pos` towards the edges. | ||
| * | ||
| * @example | ||
| * ```ts | ||
| * // interpolated position in [100..400] interval for given `t` | ||
| * y = mix(100, 400, lens(0.5, 1, t)); | ||
| * | ||
| * // or build tween function via `tween()` | ||
| * f = tween(partial(lens, 0.5, 1), 100, 400); | ||
| * | ||
| * f(t) | ||
| * ``` | ||
| * | ||
| * @param pos - lens pos | ||
| * @param strength - lens strength | ||
| * @param t - interpolation factor [0..1] | ||
| */ | ||
| export declare const lens: FnN3; | ||
| export declare const cosine: FnN; | ||
| export declare const decimated: FnN2; | ||
| export declare const bounce: FnN3; | ||
| /** | ||
| * Exponential easing. | ||
| * | ||
| * - `ease = 1` -> linear | ||
@@ -135,13 +172,13 @@ * - `ease > 1` -> ease in | ||
| */ | ||
| export declare const ease: (ease: number, t: number) => number; | ||
| export declare const ease: FnN2; | ||
| /** | ||
| * HOF impulse generator. Peaks at `t=1/k` | ||
| * Impulse generator. Peaks at `t = 1/k` | ||
| * | ||
| * @param k - impulse width (higher values => shorter impulse) | ||
| */ | ||
| export declare const impulse: (k: number, t: number) => number; | ||
| export declare const gain: (k: number, t: number) => number; | ||
| export declare const parabola: (k: number, t: number) => number; | ||
| export declare const cubicPulse: (w: number, c: number, t: number) => number; | ||
| export declare const sinc: (k: number, t: number) => number; | ||
| export declare const impulse: FnN2; | ||
| export declare const gain: FnN2; | ||
| export declare const parabola: FnN2; | ||
| export declare const cubicPulse: FnN3; | ||
| export declare const sinc: FnN2; | ||
| /** | ||
@@ -153,3 +190,3 @@ * Sigmoid function for inputs in [0..1] interval. | ||
| */ | ||
| export declare const sigmoid: (k: number, t: number) => number; | ||
| export declare const sigmoid: FnN2; | ||
| /** | ||
@@ -161,3 +198,3 @@ * Sigmoid function for inputs in [-1..+1] interval. | ||
| */ | ||
| export declare const sigmoid11: (k: number, t: number) => number; | ||
| export declare const sigmoid11: FnN2; | ||
| /** | ||
@@ -172,3 +209,3 @@ * Computes exponential factor to interpolate from `a` to `b` over | ||
| */ | ||
| export declare const expFactor: (a: number, b: number, num: number) => number; | ||
| export declare const expFactor: FnN3; | ||
| //# sourceMappingURL=mix.d.ts.map |
49
mix.js
@@ -135,5 +135,7 @@ import { HALF_PI, PI } from "./api"; | ||
| /** | ||
| * Circular interpolation: `sqrt(1 - (1 - t)^2)` | ||
| * Circular interpolation (ease out): `sqrt(1 - (1 - t)^2)` | ||
| * | ||
| * @param t - interpolation factor (0.0 .. 1.0) | ||
| * Reference: https://www.desmos.com/calculator/tisoiazdrw | ||
| * | ||
| * @param t - interpolation factor [0..1] | ||
| */ | ||
@@ -144,2 +146,41 @@ export const circular = (t) => { | ||
| }; | ||
| /** | ||
| * Inverse/flipped version of {@link circular} (ease in). | ||
| * | ||
| * Reference: https://www.desmos.com/calculator/tisoiazdrw | ||
| * | ||
| * @param t - interpolation factor [0..1] | ||
| */ | ||
| export const invCircular = (t) => 1 - circular(1 - t); | ||
| /** | ||
| * Zoomlens interpolation with customizable lens position, behavior and | ||
| * strength. | ||
| * | ||
| * @remarks | ||
| * Lens position must be given in (0..1) interval. Lens strength must be in | ||
| * [-1,1] range. If negative, the lens will be bundling values near `pos`, if | ||
| * positive the lens has dilating characteristics and will spread values near | ||
| * `pos` towards the edges. | ||
| * | ||
| * @example | ||
| * ```ts | ||
| * // interpolated position in [100..400] interval for given `t` | ||
| * y = mix(100, 400, lens(0.5, 1, t)); | ||
| * | ||
| * // or build tween function via `tween()` | ||
| * f = tween(partial(lens, 0.5, 1), 100, 400); | ||
| * | ||
| * f(t) | ||
| * ``` | ||
| * | ||
| * @param pos - lens pos | ||
| * @param strength - lens strength | ||
| * @param t - interpolation factor [0..1] | ||
| */ | ||
| export const lens = (pos, strength, t) => { | ||
| const impl = strength > 0 ? invCircular : circular; | ||
| const tp = 1 - pos; | ||
| const tl = t <= pos ? impl(t / pos) * pos : 1 - impl((1 - t) / tp) * tp; | ||
| return mix(t, tl, Math.abs(strength)); | ||
| }; | ||
| export const cosine = (t) => 1 - (Math.cos(t * PI) * 0.5 + 0.5); | ||
@@ -152,3 +193,3 @@ export const decimated = (n, t) => Math.floor(t * n) / n; | ||
| /** | ||
| * HOF exponential easing. | ||
| * Exponential easing. | ||
| * | ||
@@ -164,3 +205,3 @@ * - `ease = 1` -> linear | ||
| /** | ||
| * HOF impulse generator. Peaks at `t=1/k` | ||
| * Impulse generator. Peaks at `t = 1/k` | ||
| * | ||
@@ -167,0 +208,0 @@ * @param k - impulse width (higher values => shorter impulse) |
| { | ||
| "name": "@thi.ng/math", | ||
| "version": "2.0.4", | ||
| "version": "2.1.0", | ||
| "description": "Assorted common math functions & utilities", | ||
@@ -34,3 +34,3 @@ "module": "./index.js", | ||
| "cover": "nyc mocha test && nyc report --reporter=lcov", | ||
| "clean": "rimraf *.js *.d.ts .nyc_output build coverage doc lib", | ||
| "clean": "rimraf *.js *.d.ts *.map .nyc_output build coverage doc lib", | ||
| "doc:readme": "ts-node -P ../../tools/tsconfig.json ../../tools/src/readme.ts", | ||
@@ -52,2 +52,5 @@ "doc": "node_modules/.bin/typedoc --mode modules --out doc --theme ../../tools/doc/typedoc-theme src", | ||
| }, | ||
| "dependencies": { | ||
| "@thi.ng/api": "^6.13.0" | ||
| }, | ||
| "files": [ | ||
@@ -59,9 +62,13 @@ "*.js", | ||
| "keywords": [ | ||
| "ES6", | ||
| "es6", | ||
| "cubic", | ||
| "hermite", | ||
| "interpolation", | ||
| "interval", | ||
| "math", | ||
| "quadratic", | ||
| "smooth", | ||
| "solver", | ||
| "typescript", | ||
| "utilities" | ||
| "trigonometry", | ||
| "typescript" | ||
| ], | ||
@@ -72,6 +79,3 @@ "publishConfig": { | ||
| "sideEffects": false, | ||
| "dependencies": { | ||
| "tslib": "^2.0.1" | ||
| }, | ||
| "gitHead": "3a55c0df86c5be9c56a1e1a4c0cfcaa2809a160a" | ||
| "gitHead": "83a0206aae59aa1b1b4bcb01c2b34bbe3db4844c" | ||
| } |
@@ -0,1 +1,2 @@ | ||
| import type { FnN, FnN2 } from "@thi.ng/api"; | ||
| /** | ||
@@ -7,5 +8,5 @@ * Returns `a - b * floor(a/b)` | ||
| */ | ||
| export declare const fmod: (a: number, b: number) => number; | ||
| export declare const fract: (x: number) => number; | ||
| export declare const trunc: (x: number) => number; | ||
| export declare const fmod: FnN2; | ||
| export declare const fract: FnN; | ||
| export declare const trunc: FnN; | ||
| export declare const roundTo: (x: number, prec?: number) => number; | ||
@@ -12,0 +13,0 @@ /** |
@@ -49,7 +49,7 @@ <!-- This file is generated - DO NOT EDIT! --> | ||
| Package sizes (gzipped, pre-treeshake): ESM: 3.49 KB / CJS: 4.04 KB / UMD: 3.33 KB | ||
| Package sizes (gzipped, pre-treeshake): ESM: 3.56 KB / CJS: 4.12 KB / UMD: 3.40 KB | ||
| ## Dependencies | ||
| - [tslib](https://github.com/thi-ng/umbrella/tree/develop/packages/undefined) | ||
| - [@thi.ng/api](https://github.com/thi-ng/umbrella/tree/develop/packages/api) | ||
@@ -56,0 +56,0 @@ ## Usage examples |
@@ -0,1 +1,2 @@ | ||
| import type { FnN2 } from "@thi.ng/api"; | ||
| /** | ||
@@ -7,3 +8,3 @@ * Returns `a` divided by `b` or zero if `b = 0`. | ||
| */ | ||
| export declare const safeDiv: (a: number, b: number) => number; | ||
| export declare const safeDiv: FnN2; | ||
| //# sourceMappingURL=safe-div.d.ts.map |
@@ -0,1 +1,2 @@ | ||
| import type { FnN2 } from "@thi.ng/api"; | ||
| /** | ||
@@ -21,3 +22,3 @@ * Produces a new function which computes derivative of the given | ||
| * | ||
| * Note: `a` MUST NOT be zero. | ||
| * Note: Returns 0 iff `a == 0` | ||
| * | ||
@@ -27,3 +28,3 @@ * @param a - slope | ||
| */ | ||
| export declare const solveLinear: (a: number, b: number) => number; | ||
| export declare const solveLinear: FnN2; | ||
| /** | ||
@@ -30,0 +31,0 @@ * Computes solutions for quadratic equation: `ax^2 + bx + c = 0`. |
| import { EPS } from "./api"; | ||
| import { safeDiv } from "./safe-div"; | ||
| /** | ||
@@ -22,3 +23,3 @@ * Produces a new function which computes derivative of the given | ||
| * | ||
| * Note: `a` MUST NOT be zero. | ||
| * Note: Returns 0 iff `a == 0` | ||
| * | ||
@@ -28,3 +29,3 @@ * @param a - slope | ||
| */ | ||
| export const solveLinear = (a, b) => -b / a; | ||
| export const solveLinear = (a, b) => safeDiv(-b, a); | ||
| /** | ||
@@ -31,0 +32,0 @@ * Computes solutions for quadratic equation: `ax^2 + bx + c = 0`. |
@@ -0,1 +1,2 @@ | ||
| import type { FnN2, FnN3 } from "@thi.ng/api"; | ||
| /** | ||
@@ -8,3 +9,3 @@ * Step/threshold function. | ||
| */ | ||
| export declare const step: (edge: number, x: number) => 1 | 0; | ||
| export declare const step: FnN2; | ||
| /** | ||
@@ -18,3 +19,3 @@ * GLSL-style smoothStep threshold function. | ||
| */ | ||
| export declare const smoothStep: (edge: number, edge2: number, x: number) => number; | ||
| export declare const smoothStep: FnN3; | ||
| /** | ||
@@ -27,3 +28,3 @@ * Similar to {@link smoothStep} but using different polynomial. | ||
| */ | ||
| export declare const smootherStep: (edge: number, edge2: number, x: number) => number; | ||
| export declare const smootherStep: FnN3; | ||
| /** | ||
@@ -41,3 +42,3 @@ * Exponential ramp with variable shape, e.g. | ||
| */ | ||
| export declare const expStep: (k: number, n: number, x: number) => number; | ||
| export declare const expStep: FnN3; | ||
| //# sourceMappingURL=step.d.ts.map |
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Improved metrics
- Total package byte prevSize
- increased by0.08%
168804
- Lines of code
- increased by3.1%
2561
Dependency changes
+ Added@thi.ng/api@^6.13.0
+ Added@thi.ng/api@6.13.6(transitive)
- Removedtslib@^2.0.1
- Removedtslib@2.8.1(transitive)