extra-number
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A number is a mathematical object used to count, measure, and label.
414 lines (411 loc) • 14.2 kB
JavaScript
var _build = {};
Object.defineProperty(_build, "__esModule", { value: true });
var mean = _build.mean = arithmeticMean_1 = _build.arithmeticMean = variance_1 = _build.variance = range_1 = _build.range = modes_1 = _build.modes = median_1 = _build.median = product_1 = _build.product = sum_1 = _build.sum = radians_1 = _build.radians = degrees_1 = _build.degrees = multinomial_1 = _build.multinomial = binomial_1 = _build.binomial = factorial_1 = _build.factorial = lcm_1 = _build.lcm = hcf = _build.hcf = gcd_1 = _build.gcd = isPrime_1 = _build.isPrime = primeExponentials_1 = _build.primeExponentials = primeFactors_1 = _build.primeFactors = greatestPrimeFactor = _build.greatestPrimeFactor = maxPrimeFactor_1 = _build.maxPrimeFactor = leastPrimeFactor = _build.leastPrimeFactor = minPrimeFactor_1 = _build.minPrimeFactor = aliquotSum_1 = _build.aliquotSum = aliquotParts = _build.aliquotParts = properDivisors_1 = _build.properDivisors = log_1 = _build.log = root_1 = _build.root = nextPow_1 = _build.nextPow = prevPow_1 = _build.prevPow = isPow_1 = _build.isPow = lerp_1 = _build.lerp = map = _build.map = remap_1 = _build.remap = norm = _build.norm = normalize_1 = _build.normalize = clamp = _build.clamp = constrain_1 = _build.constrain = modp_1 = _build.modp = mod_1 = _build.mod = rem_1 = _build.rem = roundDiv_1 = _build.roundDiv = ceilDiv_1 = _build.ceilDiv = floorDiv_1 = _build.floorDiv = round_1 = _build.round = ceil_1 = _build.ceil = floor_1 = _build.floor = compare_1 = _build.compare = significantDigits_1 = _build.significantDigits = is_1 = _build.is = void 0;
var toRoman = _build.toRoman = toRomanNumerals_1 = _build.toRomanNumerals = fromRoman = _build.fromRoman = fromRomanNumerals_1 = _build.fromRomanNumerals = cubicMean_1 = _build.cubicMean = rootMeanSquare = _build.rootMeanSquare = quadriaticMean_1 = _build.quadriaticMean = harmonicMean_1 = _build.harmonicMean = geometricMean_1 = _build.geometricMean = void 0;
function is(v) {
return typeof v === "number";
}
var is_1 = _build.is = is;
function significantDigits(x) {
var a = x.toExponential();
return a.replace(/e[\+\-0-9]*$/, "").replace(/^0\.?0*|\./, "").length;
}
var significantDigits_1 = _build.significantDigits = significantDigits;
function compare(x, y) {
return x - y;
}
var compare_1 = _build.compare = compare;
function floor(x, pre = 1) {
return Math.floor(x / pre) * pre;
}
var floor_1 = _build.floor = floor;
function ceil(x, pre = 1) {
return Math.ceil(x / pre) * pre;
}
var ceil_1 = _build.ceil = ceil;
function round(x, pre = 1) {
return Math.round(x / pre) * pre;
}
var round_1 = _build.round = round;
function floorDiv(x, y) {
return Math.floor(x / y);
}
var floorDiv_1 = _build.floorDiv = floorDiv;
function ceilDiv(x, y) {
return Math.ceil(x / y);
}
var ceilDiv_1 = _build.ceilDiv = ceilDiv;
function roundDiv(x, y) {
return Math.round(x / y);
}
var roundDiv_1 = _build.roundDiv = roundDiv;
function rem(x, y) {
return x % y;
}
var rem_1 = _build.rem = rem;
function mod(x, y) {
return x - y * Math.floor(x / y);
}
var mod_1 = _build.mod = mod;
function modp(x, y) {
return x - Math.abs(y) * Math.floor(x / Math.abs(y));
}
var modp_1 = _build.modp = modp;
function constrain(x, min, max) {
return Math.min(Math.max(x, min), max);
}
var constrain_1 = _build.constrain = constrain;
var clamp = _build.clamp = constrain;
function normalize(x, r, R) {
return (x - r) / (R - r);
}
var normalize_1 = _build.normalize = normalize;
var norm = _build.norm = normalize;
function remap(x, r, R, t, T) {
return t + ((x - r) / (R - r)) * (T - t);
}
var remap_1 = _build.remap = remap;
var map = _build.map = remap;
function lerp(x, y, t) {
return x + t * (y - x);
}
var lerp_1 = _build.lerp = lerp;
function isPow(x, n) {
if (n === 0)
return x === 0;
var p = log(Math.abs(x), Math.abs(n));
if (p !== Math.floor(p))
return false;
return x < 0 ? n < 0 && (p & 1) === 1 : n > 0 || (p & 1) === 0;
}
var isPow_1 = _build.isPow = isPow;
function prevPow(x, n) {
if (x <= 1)
return 0;
var p = Math.floor(Math.log(x) / Math.log(n));
return Math.pow(n, p);
}
var prevPow_1 = _build.prevPow = prevPow;
function nextPow(x, n) {
if (x <= 0)
return 1;
var p = Math.ceil(Math.log(x) / Math.log(n));
return Math.pow(n, p);
}
var nextPow_1 = _build.nextPow = nextPow;
function root(x, n) {
if ((n & 1) === 0)
return Math.pow(x, 1 / n);
return Math.sign(x) * Math.pow(Math.abs(x), 1 / n);
}
var root_1 = _build.root = root;
function log(x, b = Math.E) {
return Math.log(x) / Math.log(b);
}
var log_1 = _build.log = log;
function properDivisors(x) {
var x = Math.abs(x), a = [];
for (var i = 1; i < x; i++)
if (x % i === 0)
a.push(i);
return a;
}
var properDivisors_1 = _build.properDivisors = properDivisors;
var aliquotParts = _build.aliquotParts = properDivisors;
function aliquotSum(x) {
var x = Math.abs(x), a = 0;
for (var i = 0; i < x; i++)
if (x % i === 0)
a += i;
return a;
}
var aliquotSum_1 = _build.aliquotSum = aliquotSum;
function minPrimeFactor(x) {
var x = Math.abs(x);
if (x <= 1)
return 0;
if (x <= 3)
return x;
if (x % 2 === 0)
return 2;
if (x % 3 === 0)
return 3;
for (var i = 6, I = Math.sqrt(x) + 1; i <= I; i += 6) {
if (x % (i - 1) === 0)
return i - 1;
if (x % (i + 1) === 0)
return i + 1;
}
return x;
}
var minPrimeFactor_1 = _build.minPrimeFactor = minPrimeFactor;
var leastPrimeFactor = _build.leastPrimeFactor = minPrimeFactor;
function maxPrimeFactor(x) {
var x = Math.abs(x), a = 0;
if (x <= 1)
return 0;
if (x <= 3)
return x;
for (; x % 2 === 0; a = 2)
x /= 2;
for (; x % 3 === 0; a = 3)
x /= 3;
for (var i = 6, I = Math.sqrt(x) + 1; x > 1 && i <= I; i += 6) {
for (; x % (i - 1) == 0; a = i - 1)
x /= i - 1;
for (; x % (i + 1) == 0; a = i + 1)
x /= i + 1;
}
if (x <= 1)
return a;
return x;
}
var maxPrimeFactor_1 = _build.maxPrimeFactor = maxPrimeFactor;
var greatestPrimeFactor = _build.greatestPrimeFactor = maxPrimeFactor;
function primeFactors(x) {
var x = Math.abs(x), a = [];
if (x <= 1)
return [];
if (x <= 3)
return [x];
x = pushPrimeFactorTo$(a, x, 2);
x = pushPrimeFactorTo$(a, x, 3);
for (var i = 6, I = Math.sqrt(x) + 1; x > 1 && i <= I; i += 6) {
x = pushPrimeFactorTo$(a, x, i - 1);
x = pushPrimeFactorTo$(a, x, i + 1);
}
if (x > 1)
a.push(x);
return a;
}
var primeFactors_1 = _build.primeFactors = primeFactors;
function pushPrimeFactorTo$(a, x, f) {
if (x % f !== 0)
return x;
do {
x /= f;
} while (x % f === 0);
a.push(f);
return x;
}
function primeExponentials(x) {
var x = Math.abs(x), a = [];
if (x <= 1)
return [];
if (x <= 3)
return [[x, 1]];
x = pushPrimeExponentialTo$(a, x, 2);
x = pushPrimeExponentialTo$(a, x, 3);
for (var i = 6, I = Math.sqrt(x) + 1; x > 1 && i <= I; i += 6) {
x = pushPrimeExponentialTo$(a, x, i - 1);
x = pushPrimeExponentialTo$(a, x, i + 1);
}
if (x > 1)
a.push([x, 1]);
return a;
}
var primeExponentials_1 = _build.primeExponentials = primeExponentials;
function pushPrimeExponentialTo$(a, x, f) {
if (x % f !== 0)
return x;
var e = 0;
do {
x /= f;
++e;
} while (x % f === 0);
a.push([f, e]);
return x;
}
function isPrime(x) {
return x !== 0 && minPrimeFactor(x) === Math.abs(x);
}
var isPrime_1 = _build.isPrime = isPrime;
function gcd(...xs) {
var a = xs[0] || 1;
for (var i = 1, I = xs.length; i < I; i++)
a = gcdPair(a, xs[i]);
return a;
}
var gcd_1 = _build.gcd = gcd;
var hcf = _build.hcf = gcd;
function gcdPair(x, y) {
while (y !== 0) {
var t = y;
y = x % y;
x = t;
}
return x;
}
function lcm(...xs) {
var a = xs[0] || 1;
for (var i = 1, I = xs.length; i < I; i++)
a = a * xs[i] / gcdPair(a, xs[i]);
return a;
}
var lcm_1 = _build.lcm = lcm;
function factorial(n, k = 0) {
if (n < 0)
return 0;
for (var i = k + 1, a = 1; i <= n; i++)
a *= i;
return a;
}
var factorial_1 = _build.factorial = factorial;
function binomial(n, k) {
if (k < 0 || k > Math.abs(n))
return 0;
if (n < 0)
return Math.pow(-1, k) * binomial(-n, k);
k = k > n - k ? n - k : k;
for (var a = 1, i = 1; i <= k; i++, n--)
a *= n / i;
return a;
}
var binomial_1 = _build.binomial = binomial;
function multinomial(...ks) {
var n = sum(...ks), a = 1;
for (var i = 0, j = 0, I = ks.length; i < I;) {
if (j <= 0)
j = ks[i++];
else
a *= n-- / j--;
}
return a;
}
var multinomial_1 = _build.multinomial = multinomial;
function degrees(x) {
return x * (180 / Math.PI);
}
var degrees_1 = _build.degrees = degrees;
function radians(x) {
return x * (Math.PI / 180);
}
var radians_1 = _build.radians = radians;
function sum(...xs) {
var a = 0;
for (var x of xs)
a += x;
return a;
}
var sum_1 = _build.sum = sum;
function product(...xs) {
var a = 1;
for (var x of xs)
a *= x;
return a;
}
var product_1 = _build.product = product;
function median(...xs) {
if (xs.length === 0)
return 0;
xs.sort((a, b) => a - b);
var i = xs.length >> 1;
if ((xs.length & 1) === 1)
return xs[i];
return (xs[i - 1] + xs[i]) / 2;
}
var median_1 = _build.median = median;
function modes(...xs) {
xs.sort((a, b) => a - b);
var r = maxRepeat(xs);
return getRepeats(xs, r);
}
var modes_1 = _build.modes = modes;
function maxRepeat(xs) {
var count = Math.min(xs.length, 1), max = count;
for (var i = 1, I = xs.length; i < I; i++) {
if (xs[i - 1] === xs[i])
count++;
else {
max = Math.max(max, count);
count = 1;
}
}
return Math.max(max, count);
}
function getRepeats(xs, r) {
var a = [];
r--;
for (var i = 0, I = xs.length - r; i < I; i++)
if (xs[i] === xs[i + r])
a.push(xs[i += r]);
return a;
}
function range(...xs) {
return [Math.min(...xs), Math.max(...xs)];
}
var range_1 = _build.range = range;
function variance(...xs) {
if (xs.length === 0)
return 0;
var m = arithmeticMean(...xs), a = 0;
for (var x of xs)
a += (x - m) ** 2;
return a / xs.length;
}
var variance_1 = _build.variance = variance;
function arithmeticMean(...xs) {
if (xs.length === 0)
return 0;
return sum(...xs) / xs.length;
}
var arithmeticMean_1 = _build.arithmeticMean = arithmeticMean;
mean = _build.mean = arithmeticMean;
function geometricMean(...xs) {
var n = xs.length;
return root(product(...xs), n);
}
var geometricMean_1 = _build.geometricMean = geometricMean;
function harmonicMean(...xs) {
var n = xs.length;
var p = product(...xs), q = 0;
for (var x of xs)
q += p / x;
return n * p / q;
}
var harmonicMean_1 = _build.harmonicMean = harmonicMean;
function quadriaticMean(...xs) {
var n = xs.length, a = 0;
for (var x of xs)
a += x * x;
return Math.sqrt(a / n);
}
var quadriaticMean_1 = _build.quadriaticMean = quadriaticMean;
var rootMeanSquare = _build.rootMeanSquare = quadriaticMean;
function cubicMean(...xs) {
var n = xs.length, a = 0;
for (var x of xs)
a += x ** 3;
return Math.cbrt(a / n);
}
var cubicMean_1 = _build.cubicMean = cubicMean;
const ROMAN_SYMBOLS = ['I', 'IV', 'V', 'IX', 'X', 'XL', 'L', 'XC', 'C', 'CD', 'D', 'CM', 'M'];
const ROMAN_VALUES = [1, 4, 5, 9, 10, 40, 50, 90, 100, 400, 500, 900, 1000];
function fromRomanNumerals(txt) {
var s = ROMAN_SYMBOLS.length - 1;
var n = txt.search(/^\s*-/) >= 0, a = 0;
var txt = txt.replace(/\W/g, '').toUpperCase();
for (var i = 0, I = txt.length; i < I; i += ROMAN_SYMBOLS[s].length) {
while (s >= 0 && txt.substring(i, i + ROMAN_SYMBOLS[s].length) !== ROMAN_SYMBOLS[s])
--s;
if (s < 0)
break;
a += ROMAN_VALUES[s];
}
return n ? -a : a;
}
var fromRomanNumerals_1 = _build.fromRomanNumerals = fromRomanNumerals;
var fromRoman = _build.fromRoman = fromRomanNumerals;
function toRomanNumerals(x) {
var a = x < 0 ? '-' : '';
var x = Math.abs(x);
for (var s = ROMAN_SYMBOLS.length - 1; s >= 0; --s)
while (x >= ROMAN_VALUES[s]) {
x -= ROMAN_VALUES[s];
a += ROMAN_SYMBOLS[s];
}
return a;
}
var toRomanNumerals_1 = _build.toRomanNumerals = toRomanNumerals;
toRoman = _build.toRoman = toRomanNumerals;
export { aliquotParts, aliquotSum_1 as aliquotSum, arithmeticMean_1 as arithmeticMean, binomial_1 as binomial, ceil_1 as ceil, ceilDiv_1 as ceilDiv, clamp, compare_1 as compare, constrain_1 as constrain, cubicMean_1 as cubicMean, _build as default, degrees_1 as degrees, factorial_1 as factorial, floor_1 as floor, floorDiv_1 as floorDiv, fromRoman, fromRomanNumerals_1 as fromRomanNumerals, gcd_1 as gcd, geometricMean_1 as geometricMean, greatestPrimeFactor, harmonicMean_1 as harmonicMean, hcf, is_1 as is, isPow_1 as isPow, isPrime_1 as isPrime, lcm_1 as lcm, leastPrimeFactor, lerp_1 as lerp, log_1 as log, map, maxPrimeFactor_1 as maxPrimeFactor, mean, median_1 as median, minPrimeFactor_1 as minPrimeFactor, mod_1 as mod, modes_1 as modes, modp_1 as modp, multinomial_1 as multinomial, nextPow_1 as nextPow, norm, normalize_1 as normalize, prevPow_1 as prevPow, primeExponentials_1 as primeExponentials, primeFactors_1 as primeFactors, product_1 as product, properDivisors_1 as properDivisors, quadriaticMean_1 as quadriaticMean, radians_1 as radians, range_1 as range, rem_1 as rem, remap_1 as remap, root_1 as root, rootMeanSquare, round_1 as round, roundDiv_1 as roundDiv, significantDigits_1 as significantDigits, sum_1 as sum, toRoman, toRomanNumerals_1 as toRomanNumerals, variance_1 as variance };