@thi.ng/math
Advanced tools
Comparing version 1.0.1 to 1.1.0
@@ -9,2 +9,3 @@ export declare const PI: number; | ||
export declare const RAD2DEG: number; | ||
export declare const PHI: number; | ||
export declare const SQRT2: number; | ||
@@ -11,0 +12,0 @@ export declare const SQRT3: number; |
@@ -9,2 +9,3 @@ export const PI = Math.PI; | ||
export const RAD2DEG = 180 / PI; | ||
export const PHI = (1 + Math.sqrt(5)) / 2; | ||
export const SQRT2 = Math.SQRT2; | ||
@@ -11,0 +12,0 @@ export const SQRT3 = Math.sqrt(3); |
@@ -6,2 +6,15 @@ # Change Log | ||
# [1.1.0](https://github.com/thi-ng/umbrella/compare/@thi.ng/math@1.0.1...@thi.ng/math@1.1.0) (2019-02-05) | ||
### Features | ||
* **math:** add minError() search ([cae8394](https://github.com/thi-ng/umbrella/commit/cae8394)) | ||
* **math:** add PHI const ([57d4488](https://github.com/thi-ng/umbrella/commit/57d4488)) | ||
* **math:** add simplifyRatio() ([31e369b](https://github.com/thi-ng/umbrella/commit/31e369b)) | ||
## [1.0.1](https://github.com/thi-ng/umbrella/compare/@thi.ng/math@1.0.0...@thi.ng/math@1.0.1) (2019-01-21) | ||
@@ -8,0 +21,0 @@ |
@@ -7,5 +7,7 @@ export * from "./api"; | ||
export * from "./interval"; | ||
export * from "./min-error"; | ||
export * from "./mix"; | ||
export * from "./prec"; | ||
export * from "./ratio"; | ||
export * from "./solve"; | ||
export * from "./step"; |
@@ -7,5 +7,7 @@ export * from "./api"; | ||
export * from "./interval"; | ||
export * from "./min-error"; | ||
export * from "./mix"; | ||
export * from "./prec"; | ||
export * from "./ratio"; | ||
export * from "./solve"; | ||
export * from "./step"; |
@@ -13,2 +13,3 @@ 'use strict'; | ||
const RAD2DEG = 180 / PI; | ||
const PHI = (1 + Math.sqrt(5)) / 2; | ||
const SQRT2 = Math.SQRT2; | ||
@@ -89,2 +90,21 @@ const SQRT3 = Math.sqrt(3); | ||
const minError = (fn, error, q, res = 16, iter = 8, start = 0, end = 1, eps = EPS) => { | ||
if (iter <= 0) | ||
return (start + end) / 2; | ||
const delta = (end - start) / res; | ||
let minT = start; | ||
let minE = Infinity; | ||
for (let i = 0; i <= res; i++) { | ||
const t = start + i * delta; | ||
const e = error(q, fn(t)); | ||
if (e < minE) { | ||
if (e <= eps) | ||
return t; | ||
minE = e; | ||
minT = t; | ||
} | ||
} | ||
return minError(fn, error, q, res, iter - 1, Math.max(minT - delta, 0), Math.min(minT + delta, 1)); | ||
}; | ||
const mix = (a, b, t) => a + (b - a) * t; | ||
@@ -144,2 +164,21 @@ const mixBilinear = (a, b, c, d, u, v) => mix(mix(a, b, u), mix(c, d, u), v); | ||
const simplifyRatio = (num, denom) => { | ||
let e1 = Math.abs(num); | ||
let e2 = Math.abs(denom); | ||
while (true) { | ||
if (e1 < e2) { | ||
const t = e1; | ||
e1 = e2; | ||
e2 = t; | ||
} | ||
const r = e1 % e2; | ||
if (r) { | ||
e1 = r; | ||
} | ||
else { | ||
return [num / e2, denom / e2]; | ||
} | ||
} | ||
}; | ||
const derivative = (f, eps = EPS) => (x) => (f(x + eps) - f(x)) / eps; | ||
@@ -212,2 +251,3 @@ const solveLinear = (a, b) => -b / a; | ||
exports.RAD2DEG = RAD2DEG; | ||
exports.PHI = PHI; | ||
exports.SQRT2 = SQRT2; | ||
@@ -258,2 +298,3 @@ exports.SQRT3 = SQRT3; | ||
exports.inOpenRange = inOpenRange; | ||
exports.minError = minError; | ||
exports.mix = mix; | ||
@@ -279,2 +320,3 @@ exports.mixBilinear = mixBilinear; | ||
exports.roundEps = roundEps; | ||
exports.simplifyRatio = simplifyRatio; | ||
exports.derivative = derivative; | ||
@@ -281,0 +323,0 @@ exports.solveLinear = solveLinear; |
@@ -15,2 +15,3 @@ (function (global, factory) { | ||
const RAD2DEG = 180 / PI; | ||
const PHI = (1 + Math.sqrt(5)) / 2; | ||
const SQRT2 = Math.SQRT2; | ||
@@ -91,2 +92,21 @@ const SQRT3 = Math.sqrt(3); | ||
const minError = (fn, error, q, res = 16, iter = 8, start = 0, end = 1, eps = EPS) => { | ||
if (iter <= 0) | ||
return (start + end) / 2; | ||
const delta = (end - start) / res; | ||
let minT = start; | ||
let minE = Infinity; | ||
for (let i = 0; i <= res; i++) { | ||
const t = start + i * delta; | ||
const e = error(q, fn(t)); | ||
if (e < minE) { | ||
if (e <= eps) | ||
return t; | ||
minE = e; | ||
minT = t; | ||
} | ||
} | ||
return minError(fn, error, q, res, iter - 1, Math.max(minT - delta, 0), Math.min(minT + delta, 1)); | ||
}; | ||
const mix = (a, b, t) => a + (b - a) * t; | ||
@@ -146,2 +166,21 @@ const mixBilinear = (a, b, c, d, u, v) => mix(mix(a, b, u), mix(c, d, u), v); | ||
const simplifyRatio = (num, denom) => { | ||
let e1 = Math.abs(num); | ||
let e2 = Math.abs(denom); | ||
while (true) { | ||
if (e1 < e2) { | ||
const t = e1; | ||
e1 = e2; | ||
e2 = t; | ||
} | ||
const r = e1 % e2; | ||
if (r) { | ||
e1 = r; | ||
} | ||
else { | ||
return [num / e2, denom / e2]; | ||
} | ||
} | ||
}; | ||
const derivative = (f, eps = EPS) => (x) => (f(x + eps) - f(x)) / eps; | ||
@@ -214,2 +253,3 @@ const solveLinear = (a, b) => -b / a; | ||
exports.RAD2DEG = RAD2DEG; | ||
exports.PHI = PHI; | ||
exports.SQRT2 = SQRT2; | ||
@@ -260,2 +300,3 @@ exports.SQRT3 = SQRT3; | ||
exports.inOpenRange = inOpenRange; | ||
exports.minError = minError; | ||
exports.mix = mix; | ||
@@ -281,2 +322,3 @@ exports.mixBilinear = mixBilinear; | ||
exports.roundEps = roundEps; | ||
exports.simplifyRatio = simplifyRatio; | ||
exports.derivative = derivative; | ||
@@ -283,0 +325,0 @@ exports.solveLinear = solveLinear; |
{ | ||
"name": "@thi.ng/math", | ||
"version": "1.0.1", | ||
"version": "1.1.0", | ||
"description": "Assorted common math functions & utilities", | ||
@@ -19,3 +19,3 @@ "module": "./index.js", | ||
"build:es6": "tsc --declaration", | ||
"build:bundle": "../../scripts/bundle-module math", | ||
"build:bundle": "../../scripts/bundle-module", | ||
"test": "rimraf build && tsc -p test/tsconfig.json && nyc mocha build/test/*.js", | ||
@@ -48,3 +48,3 @@ "clean": "rimraf *.js *.d.ts .nyc_output build coverage doc lib", | ||
"sideEffects": false, | ||
"gitHead": "d098aff5e61f96be177289461eec95648cf4e15a" | ||
"gitHead": "74fb4d83013785ce7a95357c565426a046657e74" | ||
} |
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