180 lines
6.5 KiB
JavaScript
180 lines
6.5 KiB
JavaScript
import Decimal from 'decimal.js';
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import { factory } from '../../utils/factory.js';
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import { deepMap } from '../../utils/collection.js';
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import { nearlyEqual } from '../../utils/number.js';
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import { nearlyEqual as bigNearlyEqual } from '../../utils/bignumber/nearlyEqual.js';
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import { createMatAlgo11xS0s } from '../../type/matrix/utils/matAlgo11xS0s.js';
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import { createMatAlgo12xSfs } from '../../type/matrix/utils/matAlgo12xSfs.js';
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import { createMatAlgo14xDs } from '../../type/matrix/utils/matAlgo14xDs.js';
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var name = 'ceil';
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var dependencies = ['typed', 'config', 'round', 'matrix', 'equalScalar', 'zeros', 'DenseMatrix'];
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export var createCeilNumber = /* #__PURE__ */factory(name, ['typed', 'config', 'round'], _ref => {
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var {
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typed,
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config,
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round
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} = _ref;
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return typed(name, {
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number: function number(x) {
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if (nearlyEqual(x, round(x), config.relTol, config.absTol)) {
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return round(x);
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} else {
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return Math.ceil(x);
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}
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},
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'number, number': function number_number(x, n) {
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if (nearlyEqual(x, round(x, n), config.relTol, config.absTol)) {
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return round(x, n);
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} else {
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var [number, exponent] = "".concat(x, "e").split('e');
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var result = Math.ceil(Number("".concat(number, "e").concat(Number(exponent) + n)));
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[number, exponent] = "".concat(result, "e").split('e');
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return Number("".concat(number, "e").concat(Number(exponent) - n));
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}
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}
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});
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});
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export var createCeil = /* #__PURE__ */factory(name, dependencies, _ref2 => {
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var {
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typed,
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config,
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round,
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matrix,
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equalScalar,
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zeros,
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DenseMatrix
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} = _ref2;
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var matAlgo11xS0s = createMatAlgo11xS0s({
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typed,
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equalScalar
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});
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var matAlgo12xSfs = createMatAlgo12xSfs({
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typed,
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DenseMatrix
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});
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var matAlgo14xDs = createMatAlgo14xDs({
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typed
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});
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var ceilNumber = createCeilNumber({
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typed,
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config,
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round
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});
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/**
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* Round a value towards plus infinity
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* If `x` is complex, both real and imaginary part are rounded towards plus infinity.
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* For matrices, the function is evaluated element wise.
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*
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* Syntax:
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*
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* math.ceil(x)
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* math.ceil(x, n)
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* math.ceil(unit, valuelessUnit)
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* math.ceil(unit, n, valuelessUnit)
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*
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* Examples:
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*
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* math.ceil(3.2) // returns number 4
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* math.ceil(3.8) // returns number 4
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* math.ceil(-4.2) // returns number -4
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* math.ceil(-4.7) // returns number -4
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*
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* math.ceil(3.212, 2) // returns number 3.22
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* math.ceil(3.288, 2) // returns number 3.29
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* math.ceil(-4.212, 2) // returns number -4.21
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* math.ceil(-4.782, 2) // returns number -4.78
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*
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* const c = math.complex(3.24, -2.71)
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* math.ceil(c) // returns Complex 4 - 2i
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* math.ceil(c, 1) // returns Complex 3.3 - 2.7i
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*
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* const unit = math.unit('3.241 cm')
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* const cm = math.unit('cm')
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* const mm = math.unit('mm')
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* math.ceil(unit, 1, cm) // returns Unit 3.3 cm
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* math.ceil(unit, 1, mm) // returns Unit 32.5 mm
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*
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* math.ceil([3.2, 3.8, -4.7]) // returns Array [4, 4, -4]
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* math.ceil([3.21, 3.82, -4.71], 1) // returns Array [3.3, 3.9, -4.7]
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*
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* See also:
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*
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* floor, fix, round
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*
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* @param {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} x Value to be rounded
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* @param {number | BigNumber | Array} [n=0] Number of decimals
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* @param {Unit} [valuelessUnit] A valueless unit
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* @return {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} Rounded value
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*/
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return typed('ceil', {
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number: ceilNumber.signatures.number,
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'number,number': ceilNumber.signatures['number,number'],
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Complex: function Complex(x) {
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return x.ceil();
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},
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'Complex, number': function Complex_number(x, n) {
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return x.ceil(n);
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},
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'Complex, BigNumber': function Complex_BigNumber(x, n) {
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return x.ceil(n.toNumber());
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},
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BigNumber: function BigNumber(x) {
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if (bigNearlyEqual(x, round(x), config.relTol, config.absTol)) {
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return round(x);
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} else {
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return x.ceil();
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}
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},
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'BigNumber, BigNumber': function BigNumber_BigNumber(x, n) {
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if (bigNearlyEqual(x, round(x, n), config.relTol, config.absTol)) {
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return round(x, n);
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} else {
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return x.toDecimalPlaces(n.toNumber(), Decimal.ROUND_CEIL);
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}
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},
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Fraction: function Fraction(x) {
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return x.ceil();
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},
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'Fraction, number': function Fraction_number(x, n) {
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return x.ceil(n);
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},
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'Fraction, BigNumber': function Fraction_BigNumber(x, n) {
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return x.ceil(n.toNumber());
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},
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'Unit, number, Unit': typed.referToSelf(self => function (x, n, unit) {
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var valueless = x.toNumeric(unit);
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return unit.multiply(self(valueless, n));
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}),
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'Unit, BigNumber, Unit': typed.referToSelf(self => (x, n, unit) => self(x, n.toNumber(), unit)),
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'Array | Matrix, number | BigNumber, Unit': typed.referToSelf(self => (x, n, unit) => {
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// deep map collection, skip zeros since ceil(0) = 0
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return deepMap(x, value => self(value, n, unit), true);
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}),
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'Array | Matrix | Unit, Unit': typed.referToSelf(self => (x, unit) => self(x, 0, unit)),
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'Array | Matrix': typed.referToSelf(self => x => {
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// deep map collection, skip zeros since ceil(0) = 0
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return deepMap(x, self, true);
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}),
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'Array, number | BigNumber': typed.referToSelf(self => (x, n) => {
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// deep map collection, skip zeros since ceil(0) = 0
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return deepMap(x, i => self(i, n), true);
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}),
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'SparseMatrix, number | BigNumber': typed.referToSelf(self => (x, y) => {
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return matAlgo11xS0s(x, y, self, false);
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}),
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'DenseMatrix, number | BigNumber': typed.referToSelf(self => (x, y) => {
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return matAlgo14xDs(x, y, self, false);
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}),
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'number | Complex | Fraction | BigNumber, Array': typed.referToSelf(self => (x, y) => {
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// use matrix implementation
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return matAlgo14xDs(matrix(y), x, self, true).valueOf();
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}),
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'number | Complex | Fraction | BigNumber, Matrix': typed.referToSelf(self => (x, y) => {
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if (equalScalar(x, 0)) return zeros(y.size(), y.storage());
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if (y.storage() === 'dense') {
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return matAlgo14xDs(y, x, self, true);
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}
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return matAlgo12xSfs(y, x, self, true);
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})
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});
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}); |