142 lines
4.7 KiB
JavaScript
142 lines
4.7 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 { createAlgorithm07 } from '../../type/matrix/utils/algorithm07.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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var name = 'smallerEq';
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var dependencies = ['typed', 'config', 'matrix', 'DenseMatrix'];
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export var createSmallerEq = /* #__PURE__ */factory(name, dependencies, _ref => {
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var {
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typed,
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config,
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matrix,
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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 algorithm07 = createAlgorithm07({
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typed,
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DenseMatrix
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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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* Test whether value x is smaller or equal to y.
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*
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* The function returns true when x is smaller than y or the relative
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* difference between x and y is smaller than the configured epsilon. The
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* function cannot be used to 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.smallerEq(x, y)
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*
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* Examples:
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*
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* math.smaller(1 + 2, 3) // returns false
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* math.smallerEq(1 + 2, 3) // returns true
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*
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* See also:
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*
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* equal, unequal, smaller, larger, largerEq, compare
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*
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* @param {number | BigNumber | Fraction | boolean | Unit | string | Array | Matrix} x First value to compare
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* @param {number | BigNumber | Fraction | boolean | Unit | string | Array | Matrix} y Second value to compare
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* @return {boolean | Array | Matrix} Returns true when the x is smaller than y, else returns false
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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;
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},
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'number, number': function numberNumber(x, y) {
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return x <= y || nearlyEqual(x, y, config.epsilon);
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},
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'BigNumber, BigNumber': function BigNumberBigNumber(x, y) {
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return x.lte(y) || bigNearlyEqual(x, y, config.epsilon);
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},
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'Fraction, Fraction': function FractionFraction(x, y) {
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return x.compare(y) !== 1;
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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 algorithm07(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 createSmallerEqNumber = /* #__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 x <= y || nearlyEqual(x, y, config.epsilon);
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}
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});
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}); |