simple-squiggle/node_modules/mathjs/lib/esm/function/relational/smallerEq.js

142 lines
4.7 KiB
JavaScript

import { nearlyEqual as bigNearlyEqual } from '../../utils/bignumber/nearlyEqual.js';
import { nearlyEqual } from '../../utils/number.js';
import { factory } from '../../utils/factory.js';
import { createAlgorithm03 } from '../../type/matrix/utils/algorithm03.js';
import { createAlgorithm07 } from '../../type/matrix/utils/algorithm07.js';
import { createAlgorithm12 } from '../../type/matrix/utils/algorithm12.js';
import { createAlgorithm14 } from '../../type/matrix/utils/algorithm14.js';
import { createAlgorithm13 } from '../../type/matrix/utils/algorithm13.js';
var name = 'smallerEq';
var dependencies = ['typed', 'config', 'matrix', 'DenseMatrix'];
export var createSmallerEq = /* #__PURE__ */factory(name, dependencies, _ref => {
var {
typed,
config,
matrix,
DenseMatrix
} = _ref;
var algorithm03 = createAlgorithm03({
typed
});
var algorithm07 = createAlgorithm07({
typed,
DenseMatrix
});
var algorithm12 = createAlgorithm12({
typed,
DenseMatrix
});
var algorithm13 = createAlgorithm13({
typed
});
var algorithm14 = createAlgorithm14({
typed
});
/**
* Test whether value x is smaller or equal to y.
*
* The function returns true when x is smaller than y or the relative
* difference between x and y is smaller than the configured epsilon. The
* function cannot be used to compare values smaller than approximately 2.22e-16.
*
* For matrices, the function is evaluated element wise.
* Strings are compared by their numerical value.
*
* Syntax:
*
* math.smallerEq(x, y)
*
* Examples:
*
* math.smaller(1 + 2, 3) // returns false
* math.smallerEq(1 + 2, 3) // returns true
*
* See also:
*
* equal, unequal, smaller, larger, largerEq, compare
*
* @param {number | BigNumber | Fraction | boolean | Unit | string | Array | Matrix} x First value to compare
* @param {number | BigNumber | Fraction | boolean | Unit | string | Array | Matrix} y Second value to compare
* @return {boolean | Array | Matrix} Returns true when the x is smaller than y, else returns false
*/
return typed(name, {
'boolean, boolean': function booleanBoolean(x, y) {
return x <= y;
},
'number, number': function numberNumber(x, y) {
return x <= y || nearlyEqual(x, y, config.epsilon);
},
'BigNumber, BigNumber': function BigNumberBigNumber(x, y) {
return x.lte(y) || bigNearlyEqual(x, y, config.epsilon);
},
'Fraction, Fraction': function FractionFraction(x, y) {
return x.compare(y) !== 1;
},
'Complex, Complex': function ComplexComplex() {
throw new TypeError('No ordering relation is defined for complex numbers');
},
'Unit, Unit': function UnitUnit(x, y) {
if (!x.equalBase(y)) {
throw new Error('Cannot compare units with different base');
}
return this(x.value, y.value);
},
'SparseMatrix, SparseMatrix': function SparseMatrixSparseMatrix(x, y) {
return algorithm07(x, y, this);
},
'SparseMatrix, DenseMatrix': function SparseMatrixDenseMatrix(x, y) {
return algorithm03(y, x, this, true);
},
'DenseMatrix, SparseMatrix': function DenseMatrixSparseMatrix(x, y) {
return algorithm03(x, y, this, false);
},
'DenseMatrix, DenseMatrix': function DenseMatrixDenseMatrix(x, y) {
return algorithm13(x, y, this);
},
'Array, Array': function ArrayArray(x, y) {
// use matrix implementation
return this(matrix(x), matrix(y)).valueOf();
},
'Array, Matrix': function ArrayMatrix(x, y) {
// use matrix implementation
return this(matrix(x), y);
},
'Matrix, Array': function MatrixArray(x, y) {
// use matrix implementation
return this(x, matrix(y));
},
'SparseMatrix, any': function SparseMatrixAny(x, y) {
return algorithm12(x, y, this, false);
},
'DenseMatrix, any': function DenseMatrixAny(x, y) {
return algorithm14(x, y, this, false);
},
'any, SparseMatrix': function anySparseMatrix(x, y) {
return algorithm12(y, x, this, true);
},
'any, DenseMatrix': function anyDenseMatrix(x, y) {
return algorithm14(y, x, this, true);
},
'Array, any': function ArrayAny(x, y) {
// use matrix implementation
return algorithm14(matrix(x), y, this, false).valueOf();
},
'any, Array': function anyArray(x, y) {
// use matrix implementation
return algorithm14(matrix(y), x, this, true).valueOf();
}
});
});
export var createSmallerEqNumber = /* #__PURE__ */factory(name, ['typed', 'config'], _ref2 => {
var {
typed,
config
} = _ref2;
return typed(name, {
'number, number': function numberNumber(x, y) {
return x <= y || nearlyEqual(x, y, config.epsilon);
}
});
});