155 lines
5.3 KiB
JavaScript
155 lines
5.3 KiB
JavaScript
import { nearlyEqual as bigNearlyEqual } from '../../utils/bignumber/nearlyEqual.js';
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import { nearlyEqual } from '../../utils/number.js';
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import { factory } from '../../utils/factory.js';
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import { createAlgorithm03 } from '../../type/matrix/utils/algorithm03.js';
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import { createAlgorithm12 } from '../../type/matrix/utils/algorithm12.js';
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import { createAlgorithm14 } from '../../type/matrix/utils/algorithm14.js';
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import { createAlgorithm13 } from '../../type/matrix/utils/algorithm13.js';
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import { createAlgorithm05 } from '../../type/matrix/utils/algorithm05.js';
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var name = 'compare';
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var dependencies = ['typed', 'config', 'matrix', 'equalScalar', 'BigNumber', 'Fraction', 'DenseMatrix'];
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export var createCompare = /* #__PURE__ */factory(name, dependencies, _ref => {
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var {
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typed,
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config,
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equalScalar,
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matrix,
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BigNumber,
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Fraction,
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DenseMatrix
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} = _ref;
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var algorithm03 = createAlgorithm03({
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typed
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});
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var algorithm05 = createAlgorithm05({
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typed,
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equalScalar
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});
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var algorithm12 = createAlgorithm12({
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typed,
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DenseMatrix
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});
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var algorithm13 = createAlgorithm13({
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typed
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});
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var algorithm14 = createAlgorithm14({
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typed
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});
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/**
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* Compare two values. Returns 1 when x > y, -1 when x < y, and 0 when x == y.
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*
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* x and y are considered equal when the relative difference between x and y
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* is smaller than the configured epsilon. The function cannot be used to
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* compare values smaller than approximately 2.22e-16.
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*
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* For matrices, the function is evaluated element wise.
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* Strings are compared by their numerical value.
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*
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* Syntax:
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*
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* math.compare(x, y)
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*
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* Examples:
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*
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* math.compare(6, 1) // returns 1
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* math.compare(2, 3) // returns -1
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* math.compare(7, 7) // returns 0
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* math.compare('10', '2') // returns 1
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* math.compare('1000', '1e3') // returns 0
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*
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* const a = math.unit('5 cm')
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* const b = math.unit('40 mm')
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* math.compare(a, b) // returns 1
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*
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* math.compare(2, [1, 2, 3]) // returns [1, 0, -1]
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*
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* See also:
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*
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* equal, unequal, smaller, smallerEq, larger, largerEq, compareNatural, compareText
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*
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* @param {number | BigNumber | Fraction | Unit | string | Array | Matrix} x First value to compare
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* @param {number | BigNumber | Fraction | Unit | string | Array | Matrix} y Second value to compare
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* @return {number | BigNumber | Fraction | Array | Matrix} Returns the result of the comparison:
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* 1 when x > y, -1 when x < y, and 0 when x == y.
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*/
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return typed(name, {
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'boolean, boolean': function booleanBoolean(x, y) {
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return x === y ? 0 : x > y ? 1 : -1;
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},
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'number, number': function numberNumber(x, y) {
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return nearlyEqual(x, y, config.epsilon) ? 0 : x > y ? 1 : -1;
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},
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'BigNumber, BigNumber': function BigNumberBigNumber(x, y) {
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return bigNearlyEqual(x, y, config.epsilon) ? new BigNumber(0) : new BigNumber(x.cmp(y));
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},
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'Fraction, Fraction': function FractionFraction(x, y) {
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return new Fraction(x.compare(y));
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},
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'Complex, Complex': function ComplexComplex() {
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throw new TypeError('No ordering relation is defined for complex numbers');
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},
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'Unit, Unit': function UnitUnit(x, y) {
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if (!x.equalBase(y)) {
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throw new Error('Cannot compare units with different base');
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}
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return this(x.value, y.value);
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},
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'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {
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return algorithm05(x, y, this);
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},
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'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {
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return algorithm03(y, x, this, true);
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},
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'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {
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return algorithm03(x, y, this, false);
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},
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'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {
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return algorithm13(x, y, this);
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},
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'Array, Array': function ArrayArray(x, y) {
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// use matrix implementation
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return this(matrix(x), matrix(y)).valueOf();
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},
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'Array, Matrix': function ArrayMatrix(x, y) {
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// use matrix implementation
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return this(matrix(x), y);
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},
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'Matrix, Array': function MatrixArray(x, y) {
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// use matrix implementation
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return this(x, matrix(y));
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},
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'SparseMatrix, any': function SparseMatrixAny(x, y) {
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return algorithm12(x, y, this, false);
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},
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'DenseMatrix, any': function DenseMatrixAny(x, y) {
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return algorithm14(x, y, this, false);
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},
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'any, SparseMatrix': function anySparseMatrix(x, y) {
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return algorithm12(y, x, this, true);
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},
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'any, DenseMatrix': function anyDenseMatrix(x, y) {
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return algorithm14(y, x, this, true);
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},
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'Array, any': function ArrayAny(x, y) {
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// use matrix implementation
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return algorithm14(matrix(x), y, this, false).valueOf();
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},
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'any, Array': function anyArray(x, y) {
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// use matrix implementation
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return algorithm14(matrix(y), x, this, true).valueOf();
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}
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});
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});
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export var createCompareNumber = /* #__PURE__ */factory(name, ['typed', 'config'], _ref2 => {
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var {
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typed,
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config
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} = _ref2;
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return typed(name, {
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'number, number': function numberNumber(x, y) {
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return nearlyEqual(x, y, config.epsilon) ? 0 : x > y ? 1 : -1;
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}
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});
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}); |