smaller.js (4975B)
1 import { nearlyEqual as bigNearlyEqual } from '../../utils/bignumber/nearlyEqual.js'; 2 import { nearlyEqual } from '../../utils/number.js'; 3 import { factory } from '../../utils/factory.js'; 4 import { createAlgorithm03 } from '../../type/matrix/utils/algorithm03.js'; 5 import { createAlgorithm07 } from '../../type/matrix/utils/algorithm07.js'; 6 import { createAlgorithm12 } from '../../type/matrix/utils/algorithm12.js'; 7 import { createAlgorithm14 } from '../../type/matrix/utils/algorithm14.js'; 8 import { createAlgorithm13 } from '../../type/matrix/utils/algorithm13.js'; 9 var name = 'smaller'; 10 var dependencies = ['typed', 'config', 'matrix', 'DenseMatrix']; 11 export var createSmaller = /* #__PURE__ */factory(name, dependencies, _ref => { 12 var { 13 typed, 14 config, 15 matrix, 16 DenseMatrix 17 } = _ref; 18 var algorithm03 = createAlgorithm03({ 19 typed 20 }); 21 var algorithm07 = createAlgorithm07({ 22 typed, 23 DenseMatrix 24 }); 25 var algorithm12 = createAlgorithm12({ 26 typed, 27 DenseMatrix 28 }); 29 var algorithm13 = createAlgorithm13({ 30 typed 31 }); 32 var algorithm14 = createAlgorithm14({ 33 typed 34 }); 35 /** 36 * Test whether value x is smaller than y. 37 * 38 * The function returns true when x is smaller than y and the relative 39 * difference between x and y is smaller than the configured epsilon. The 40 * function cannot be used to compare values smaller than approximately 2.22e-16. 41 * 42 * For matrices, the function is evaluated element wise. 43 * Strings are compared by their numerical value. 44 * 45 * Syntax: 46 * 47 * math.smaller(x, y) 48 * 49 * Examples: 50 * 51 * math.smaller(2, 3) // returns true 52 * math.smaller(5, 2 * 2) // returns false 53 * 54 * const a = math.unit('5 cm') 55 * const b = math.unit('2 inch') 56 * math.smaller(a, b) // returns true 57 * 58 * See also: 59 * 60 * equal, unequal, smallerEq, smaller, smallerEq, compare 61 * 62 * @param {number | BigNumber | Fraction | boolean | Unit | string | Array | Matrix} x First value to compare 63 * @param {number | BigNumber | Fraction | boolean | Unit | string | Array | Matrix} y Second value to compare 64 * @return {boolean | Array | Matrix} Returns true when the x is smaller than y, else returns false 65 */ 66 67 return typed(name, { 68 'boolean, boolean': function booleanBoolean(x, y) { 69 return x < y; 70 }, 71 'number, number': function numberNumber(x, y) { 72 return x < y && !nearlyEqual(x, y, config.epsilon); 73 }, 74 'BigNumber, BigNumber': function BigNumberBigNumber(x, y) { 75 return x.lt(y) && !bigNearlyEqual(x, y, config.epsilon); 76 }, 77 'Fraction, Fraction': function FractionFraction(x, y) { 78 return x.compare(y) === -1; 79 }, 80 'Complex, Complex': function ComplexComplex(x, y) { 81 throw new TypeError('No ordering relation is defined for complex numbers'); 82 }, 83 'Unit, Unit': function UnitUnit(x, y) { 84 if (!x.equalBase(y)) { 85 throw new Error('Cannot compare units with different base'); 86 } 87 88 return this(x.value, y.value); 89 }, 90 'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) { 91 return algorithm07(x, y, this); 92 }, 93 'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) { 94 return algorithm03(y, x, this, true); 95 }, 96 'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) { 97 return algorithm03(x, y, this, false); 98 }, 99 'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) { 100 return algorithm13(x, y, this); 101 }, 102 'Array, Array': function ArrayArray(x, y) { 103 // use matrix implementation 104 return this(matrix(x), matrix(y)).valueOf(); 105 }, 106 'Array, Matrix': function ArrayMatrix(x, y) { 107 // use matrix implementation 108 return this(matrix(x), y); 109 }, 110 'Matrix, Array': function MatrixArray(x, y) { 111 // use matrix implementation 112 return this(x, matrix(y)); 113 }, 114 'SparseMatrix, any': function SparseMatrixAny(x, y) { 115 return algorithm12(x, y, this, false); 116 }, 117 'DenseMatrix, any': function DenseMatrixAny(x, y) { 118 return algorithm14(x, y, this, false); 119 }, 120 'any, SparseMatrix': function anySparseMatrix(x, y) { 121 return algorithm12(y, x, this, true); 122 }, 123 'any, DenseMatrix': function anyDenseMatrix(x, y) { 124 return algorithm14(y, x, this, true); 125 }, 126 'Array, any': function ArrayAny(x, y) { 127 // use matrix implementation 128 return algorithm14(matrix(x), y, this, false).valueOf(); 129 }, 130 'any, Array': function anyArray(x, y) { 131 // use matrix implementation 132 return algorithm14(matrix(y), x, this, true).valueOf(); 133 } 134 }); 135 }); 136 export var createSmallerNumber = /* #__PURE__ */factory(name, ['typed', 'config'], _ref2 => { 137 var { 138 typed, 139 config 140 } = _ref2; 141 return typed(name, { 142 'number, number': function numberNumber(x, y) { 143 return x < y && !nearlyEqual(x, y, config.epsilon); 144 } 145 }); 146 });