78 lines
2.7 KiB
JavaScript
78 lines
2.7 KiB
JavaScript
import { factory } from '../../utils/factory.js';
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import { extend } from '../../utils/object.js';
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import { createAlgorithm11 } from '../../type/matrix/utils/algorithm11.js';
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import { createAlgorithm14 } from '../../type/matrix/utils/algorithm14.js';
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var name = 'divide';
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var dependencies = ['typed', 'matrix', 'multiply', 'equalScalar', 'divideScalar', 'inv'];
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export var createDivide = /* #__PURE__ */factory(name, dependencies, _ref => {
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var {
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typed,
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matrix,
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multiply,
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equalScalar,
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divideScalar,
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inv
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} = _ref;
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var algorithm11 = createAlgorithm11({
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typed,
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equalScalar
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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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* Divide two values, `x / y`.
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* To divide matrices, `x` is multiplied with the inverse of `y`: `x * inv(y)`.
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*
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* Syntax:
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*
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* math.divide(x, y)
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*
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* Examples:
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*
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* math.divide(2, 3) // returns number 0.6666666666666666
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*
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* const a = math.complex(5, 14)
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* const b = math.complex(4, 1)
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* math.divide(a, b) // returns Complex 2 + 3i
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*
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* const c = [[7, -6], [13, -4]]
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* const d = [[1, 2], [4, 3]]
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* math.divide(c, d) // returns Array [[-9, 4], [-11, 6]]
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*
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* const e = math.unit('18 km')
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* math.divide(e, 4.5) // returns Unit 4 km
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*
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* See also:
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*
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* multiply
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*
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* @param {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} x Numerator
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* @param {number | BigNumber | Fraction | Complex | Array | Matrix} y Denominator
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* @return {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} Quotient, `x / y`
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*/
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return typed('divide', extend({
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// we extend the signatures of divideScalar with signatures dealing with matrices
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'Array | Matrix, Array | Matrix': function ArrayMatrixArrayMatrix(x, y) {
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// TODO: implement matrix right division using pseudo inverse
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// https://www.mathworks.nl/help/matlab/ref/mrdivide.html
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// https://www.gnu.org/software/octave/doc/interpreter/Arithmetic-Ops.html
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// https://stackoverflow.com/questions/12263932/how-does-gnu-octave-matrix-division-work-getting-unexpected-behaviour
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return multiply(x, inv(y));
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},
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'DenseMatrix, any': function DenseMatrixAny(x, y) {
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return algorithm14(x, y, divideScalar, false);
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},
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'SparseMatrix, any': function SparseMatrixAny(x, y) {
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return algorithm11(x, y, divideScalar, false);
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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, divideScalar, false).valueOf();
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},
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'any, Array | Matrix': function anyArrayMatrix(x, y) {
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return multiply(x, inv(y));
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}
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}, divideScalar.signatures));
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}); |