198 lines
7.2 KiB
JavaScript
198 lines
7.2 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 { isInteger, 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 = 'floor';
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var dependencies = ['typed', 'config', 'round', 'matrix', 'equalScalar', 'zeros', 'DenseMatrix'];
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var bigTen = new Decimal(10);
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export var createFloorNumber = /* #__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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function _floorNumber(x) {
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// First, if the floor and the round are identical we can be
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// quite comfortable that is the best answer:
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var f = Math.floor(x);
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var r = round(x);
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if (f === r) return f;
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// OK, they are different. If x is truly distinct from f but
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// appears indistinguishable from r, presume it really is just
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// the integer r with rounding/computation error, and return that
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if (nearlyEqual(x, r, config.relTol, config.absTol) && !nearlyEqual(x, f, config.relTol, config.absTol)) {
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return r;
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}
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// Otherwise (x distinct from both r and f, or indistinguishable from
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// both r and f) may as well just return f, as that's the best
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// candidate we can discern:
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return f;
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}
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return typed(name, {
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number: _floorNumber,
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'number, number': function number_number(x, n) {
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if (!isInteger(n)) {
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throw new RangeError('number of decimals in function floor must be an integer');
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}
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if (n < 0 || n > 15) {
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throw new RangeError('number of decimals in floor number must be in range 0 - 15');
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}
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var shift = 10 ** n;
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return _floorNumber(x * shift) / shift;
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}
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});
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});
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export var createFloor = /* #__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 floorNumber = createFloorNumber({
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typed,
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config,
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round
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});
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function _bigFloor(x) {
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// see _floorNumber above for rationale
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var bne = (a, b) => bigNearlyEqual(a, b, config.relTol, config.absTol);
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var f = x.floor();
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var r = round(x);
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if (f.eq(r)) return f;
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if (bne(x, r) && !bne(x, f)) return r;
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return f;
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}
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/**
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* Round a value towards minus 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.floor(x)
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* math.floor(x, n)
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* math.floor(unit, valuelessUnit)
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* math.floor(unit, n, valuelessUnit)
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*
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* Examples:
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*
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* math.floor(3.2) // returns number 3
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* math.floor(3.8) // returns number 3
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* math.floor(-4.2) // returns number -5
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* math.floor(-4.7) // returns number -5
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*
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* math.floor(3.212, 2) // returns number 3.21
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* math.floor(3.288, 2) // returns number 3.28
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* math.floor(-4.212, 2) // returns number -4.22
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* math.floor(-4.782, 2) // returns number -4.79
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*
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* const c = math.complex(3.24, -2.71)
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* math.floor(c) // returns Complex 3 - 3i
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* math.floor(c, 1) // returns Complex 3.2 -2.8i
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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.floor(unit, 1, cm) // returns Unit 3.2 cm
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* math.floor(unit, 1, mm) // returns Unit 32.4 mm
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*
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* math.floor([3.2, 3.8, -4.7]) // returns Array [3, 3, -5]
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* math.floor([3.21, 3.82, -4.71], 1) // returns Array [3.2, 3.8, -4.8]
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*
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* math.floor(math.tau, [2, 3]) // returns Array [6.28, 6.283]
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*
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* // Note that floor(array, array) currently not implemented.
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*
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* See also:
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*
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* ceil, 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('floor', {
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number: floorNumber.signatures.number,
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'number,number': floorNumber.signatures['number,number'],
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Complex: function Complex(x) {
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return x.floor();
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},
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'Complex, number': function Complex_number(x, n) {
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return x.floor(n);
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},
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'Complex, BigNumber': function Complex_BigNumber(x, n) {
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return x.floor(n.toNumber());
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},
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BigNumber: _bigFloor,
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'BigNumber, BigNumber': function BigNumber_BigNumber(x, n) {
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var shift = bigTen.pow(n);
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return _bigFloor(x.mul(shift)).div(shift);
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},
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bigint: b => b,
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'bigint, number': (b, _dummy) => b,
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'bigint, BigNumber': (b, _dummy) => b,
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Fraction: function Fraction(x) {
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return x.floor();
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},
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'Fraction, number': function Fraction_number(x, n) {
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return x.floor(n);
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},
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'Fraction, BigNumber': function Fraction_BigNumber(x, n) {
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return x.floor(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 floor(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 floor(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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}); |