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1.1.0
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Added browser support.
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@TheYule
TheYule committed Jul 10, 2021
1 parent 485e490 commit 4b13b6f
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172 changes: 172 additions & 0 deletions browser/Yoo-Math.js
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var YooMath = {
E: 2.7182818284590451,
LN10: 2.302585092994046,
LN2: .6931471805599453,
LOG2E: 1.4426950408889634,
LOG10E: .4342944819032518,
PI: 3.1415926535897931,
SQRT1_2: .7071067811865476,
SQRT2: 1.4142135623730951,
isNegative(x) { return x < 0 ? true : false; },
pow(x, y) { return Math.pow(x, y); },
sqed(x) { return this.pow(x, 2); },
cbed(x) { return this.pow(x, 3); },
qded(x) { return this.root(x, 4); },
qied(x) { return this.root(x, 5); },
root(x, y) { return this.pow(x, 1 / y); },
sqrt(x) { return this.root(x, 2); },
cbrt(x) { return this.root(x, 3); },
qdrt(x) { return this.root(x, 4); },
qirt(x) { return this.root(x, 5); },
abs(x) { return this.isNegative(x) ? parseInt(x.toString().replace("-", "")) : x; },
fact(x) { var f = 1; for (var i = x; i >= 1; i--)
f = f * i; return f; },
signot(x, y, z) { var s = 0, i = x; do {
s += z(i);
i++;
} while (x < y); return s; },
sign(x) { return x == 0 ? 0 : x > 0 ? 1 : -1; },
exp(x) { return this.pow(this.E, x); },
expm1(x) { return this.exp(x) - 1; },
logBase(x, y) { return this.ln(x) / this.ln(y); },
ln(x) { return Math.log(x); },
log10(x) { return this.logBase(x, 10); },
log2(x) { return this.logBase(x, 2); },
log1p(x) { return this.ln(x) + 1; },
trig: {
sin(x) {
return x - (YooMath.cbed(x) / YooMath.fact(3))
+ (YooMath.qied(x) / YooMath.fact(5))
- (YooMath.pow(x, 7) / YooMath.fact(7))
+ (YooMath.pow(x, 9) / YooMath.fact(9))
- (YooMath.pow(x, 11) / YooMath.fact(11))
+ (YooMath.pow(x, 13) / YooMath.fact(13))
- (YooMath.pow(x, 15) / YooMath.fact(15))
+ (YooMath.pow(x, 17) / YooMath.fact(17))
- (YooMath.pow(x, 19) / YooMath.fact(19))
+ (YooMath.pow(x, 21) / YooMath.fact(21));
},
cos(x) {
return 1 - (YooMath.sqed(x) / YooMath.fact(2))
+ (YooMath.qded(x) / YooMath.fact(4))
- (YooMath.pow(x, 6) / YooMath.fact(6))
+ (YooMath.pow(x, 8) / YooMath.fact(8))
- (YooMath.pow(x, 10) / YooMath.fact(10))
+ (YooMath.pow(x, 12) / YooMath.fact(12))
- (YooMath.pow(x, 14) / YooMath.fact(14))
+ (YooMath.pow(x, 16) / YooMath.fact(16))
- (YooMath.pow(x, 18) / YooMath.fact(18))
+ (YooMath.pow(x, 20) / YooMath.fact(20));
},
tan(x) {
return x + ((1 / 3) * YooMath.cbed(x))
+ ((2 / 15) * YooMath.qied(x))
+ ((17 / 315) * YooMath.pow(x, 7))
+ ((62 / 2835) * YooMath.pow(x, 9));
},
sinh(x) { return (YooMath.exp(x) - YooMath.exp(-YooMath.abs(x))) / 2; },
cosh(x) { return (YooMath.exp(x) + YooMath.exp(-YooMath.abs(x))) / 2; },
tanh(x) {
return (YooMath.exp(x) - YooMath.exp(-YooMath.abs(x)))
/ (YooMath.exp(x) + YooMath.exp(-YooMath.abs(x)));
},
asin(x) {
return x + ((1 / 2) * (YooMath.cbed(x) / 3))
+ (((1 * 3) / (2 * 4)) * (YooMath.qied(x) / 5))
+ (((1 * 3 * 5) / (2 * 4 * 6)) * (YooMath.pow(x, 7) / 7))
+ (((1 * 3 * 5 * 7) / (2 * 4 * 6 * 8)) * (YooMath.pow(x, 9) / 9))
+ (((1 * 3 * 5 * 7 * 9) / (2 * 4 * 6 * 8 * 10)) * (YooMath.pow(x, 11) / 11))
+ (((1 * 3 * 5 * 7 * 9 * 11) / (2 * 4 * 6 * 8 * 10 * 12)) * YooMath.pow(x, 13) / 13)
+ (((1 * 3 * 5 * 7 * 9 * 11 * 13) / (2 * 4 * 6 * 8 * 10 * 12 * 14)) * YooMath.pow(x, 15) / 15)
+ (((1 * 3 * 5 * 7 * 9 * 11 * 13 * 15) / (2 * 4 * 6 * 8 * 10 * 12 * 14 * 16)) * YooMath.pow(x, 17) / 17)
+ (((1 * 3 * 5 * 7 * 9 * 11 * 13 * 15 * 17) / (2 * 4 * 6 * 8 * 10 * 12 * 14 * 16 * 18)) * YooMath.pow(x, 19) / 19)
+ (((1 * 3 * 5 * 7 * 9 * 11 * 13 * 15 * 17 * 19) / (2 * 4 * 6 * 8 * 10 * 12 * 14 * 16 * 18 * 20)) * YooMath.pow(x, 21) / 21);
},
acos(x) { return (YooMath.PI / 2) - this.asin(x); },
atan(x) {
return (YooMath.PI / 2)
- (1 / x)
+ (1 / (YooMath.cbed(x) * 3))
- (1 / (YooMath.qied(x) * 5))
+ (1 / (YooMath.pow(x, 7) * 7))
- (1 / (YooMath.pow(x, 9) * 9))
+ (1 / (YooMath.pow(x, 11) * 11))
- (1 / (YooMath.pow(x, 13) * 13))
+ (1 / (YooMath.pow(x, 15) * 15))
- (1 / (YooMath.pow(x, 17) * 17));
},
asinh(x) {
return x - ((1 / 2) * (YooMath.cbed(x) / 3))
+ (((1 * 3) / (2 * 4)) * (YooMath.qied(x) / 5))
- (((1 * 3 * 5) / (2 * 4 * 6)) * (YooMath.pow(x, 7) / 7))
+ (((1 * 3 * 5 * 7) / (2 * 4 * 6 * 8)) * (YooMath.pow(x, 9) / 9))
- (((1 * 3 * 5 * 7 * 9) / (2 * 4 * 6 * 8 * 10)) * (YooMath.pow(x, 11) / 11))
+ (((1 * 3 * 5 * 7 * 9 * 11) / (2 * 4 * 6 * 8 * 10 * 12)) * YooMath.pow(x, 13) / 13)
- (((1 * 3 * 5 * 7 * 9 * 11 * 13) / (2 * 4 * 6 * 8 * 10 * 12 * 14)) * YooMath.pow(x, 15) / 15)
+ (((1 * 3 * 5 * 7 * 9 * 11 * 13 * 15) / (2 * 4 * 6 * 8 * 10 * 12 * 14 * 16)) * YooMath.pow(x, 17) / 17)
- (((1 * 3 * 5 * 7 * 9 * 11 * 13 * 15 * 17) / (2 * 4 * 6 * 8 * 10 * 12 * 14 * 16 * 18)) * YooMath.pow(x, 19) / 19)
+ (((1 * 3 * 5 * 7 * 9 * 11 * 13 * 15 * 17 * 19) / (2 * 4 * 6 * 8 * 10 * 12 * 14 * 16 * 18 * 20)) * YooMath.pow(x, 21) / 21);
},
acosh(x) {
return YooMath.ln(x * 2) - ((1 / ((YooMath.sqed(x) * 2) * 2))
+ ((1 * 3) / ((YooMath.qded(x) * 4) * 2 * 4))
+ ((1 * 3 * 5) / ((YooMath.pow(x, 6) * 6) * 2 * 4 * 6))
+ ((1 * 3 * 5 * 7) / ((YooMath.pow(x, 8) * 8) * 2 * 4 * 6 * 8))
+ ((1 * 3 * 5 * 7 * 9) / ((YooMath.pow(x, 10) * 10) * 2 * 4 * 6 * 8 * 10))
+ ((1 * 3 * 5 * 7 * 9 * 11) / ((YooMath.pow(x, 12) * 12) * 2 * 4 * 6 * 8 * 10 * 12))
+ ((1 * 3 * 5 * 7 * 9 * 11 * 13) / ((YooMath.pow(x, 14) * 14) * 2 * 4 * 6 * 8 * 10 * 12 * 14))
+ ((1 * 3 * 5 * 7 * 9 * 11 * 13 * 15) / ((YooMath.pow(x, 16) * 16) * 2 * 4 * 6 * 8 * 10 * 12 * 14 * 16))
+ ((1 * 3 * 5 * 7 * 9 * 11 * 13 * 15 * 17) / ((YooMath.pow(x, 18) * 18) * 2 * 4 * 6 * 8 * 10 * 12 * 14 * 16 * 18))
+ ((1 * 3 * 5 * 7 * 9 * 11 * 13 * 15 * 17 * 19) / ((YooMath.pow(x, 20) * 20) * 2 * 4 * 6 * 8 * 10 * 12 * 14 * 16 * 18 * 20)));
},
atanh(x) {
return (YooMath.PI / 2)
+ (1 / x)
+ (1 / (YooMath.cbed(x) * 3))
+ (1 / (YooMath.qied(x) * 5))
+ (1 / (YooMath.pow(x, 7) * 7))
+ (1 / (YooMath.pow(x, 9) * 9))
+ (1 / (YooMath.pow(x, 11) * 11))
+ (1 / (YooMath.pow(x, 13) * 13))
+ (1 / (YooMath.pow(x, 15) * 15))
+ (1 / (YooMath.pow(x, 17) * 17));
},
csc(x) { return 1 / this.sin(x); },
sec(x) { return 1 / this.cos(x); },
cot(x) { return 1 / this.tan(x); },
csch(x) { return 2 / (YooMath.exp(x) - YooMath.exp(-YooMath.abs(x))); },
sech(x) { return 2 / (YooMath.exp(x) + YooMath.exp(-YooMath.abs(x))); },
coth(x) {
return (YooMath.exp(x) + YooMath.exp(-YooMath.abs(x)))
/ (YooMath.exp(x) - YooMath.exp(-YooMath.abs(x)));
},
acsc(x) { return this.asin(1 / x); },
asec(x) { return this.acos(1 / x); },
acot(x) { return (YooMath.PI / 2) - this.atan(x); },
acsch(x) {
return YooMath.LN2 - YooMath.ln(x)
+ (1 / 4) * YooMath.sqed(x)
- (3 / 32) * YooMath.qded(x)
+ (5 / 96) * YooMath.pow(x, 6);
},
asech(x) {
return YooMath.LN2 - YooMath.ln(x)
- (1 / 4) * YooMath.sqed(x)
- (3 / 32) * YooMath.qded(x)
- (5 / 96) * YooMath.pow(x, 6);
},
acoth(x) {
return (1 / x)
+ (1 / (YooMath.cbed(x) * 3))
+ (1 / (YooMath.qied(x) * 5))
+ (1 / (YooMath.pow(x, 7) * 7))
+ (1 / (YooMath.pow(x, 9) * 9))
+ (1 / (YooMath.pow(x, 11) * 11))
+ (1 / (YooMath.pow(x, 13) * 13))
+ (1 / (YooMath.pow(x, 15) * 15))
+ (1 / (YooMath.pow(x, 17) * 17))
+ (1 / (YooMath.pow(x, 19) * 19))
+ (1 / (YooMath.pow(x, 21) * 21));
}
}
};
1 change: 1 addition & 0 deletions browser/Yoo-Math.min.js
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5 changes: 4 additions & 1 deletion package.json
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{
"name": "@yoo-babobo/yoo-math.js",
"version": "1.0.0",
"version": "1.1.0",
"description": "A simple math library that adds extra and useful functions to your project.",
"main": "./lib/cjs/YooMath.js",
"module": "./lib/esm/YooMath.js",
Expand All @@ -12,6 +12,9 @@
"prepublishOnly": "npm run tsc",
"deploy": "npm publish --access public"
},
"publishConfig": {
"registry":"https://npm.pkg.github.com"
},
"repository": {
"type": "git",
"url": "https://github.com/Yoo-Babobo/Yoo-Math.js.git"
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