183 lines
5.5 KiB
JavaScript
183 lines
5.5 KiB
JavaScript
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import { factory } from '../../utils/factory.js';
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import { isInteger } from '../../utils/number.js';
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import { isMatrix } from '../../utils/is.js';
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var name = 'diff';
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var dependencies = ['typed', 'matrix', 'subtract', 'number'];
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export var createDiff = /* #__PURE__ */factory(name, dependencies, _ref => {
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var {
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typed,
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matrix,
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subtract,
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number
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} = _ref;
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/**
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* Create a new matrix or array of the difference between elements of the given array
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* The optional dim parameter lets you specify the dimension to evaluate the difference of
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* If no dimension parameter is passed it is assumed as dimension 0
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*
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* Dimension is zero-based in javascript and one-based in the parser and can be a number or bignumber
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* Arrays must be 'rectangular' meaning arrays like [1, 2]
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* If something is passed as a matrix it will be returned as a matrix but other than that all matrices are converted to arrays
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*
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* Syntax:
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*
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* math.diff(arr)
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* math.diff(arr, dim)
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*
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* Examples:
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*
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* const arr = [1, 2, 4, 7, 0]
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* math.diff(arr) // returns [1, 2, 3, -7] (no dimension passed so 0 is assumed)
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* math.diff(math.matrix(arr)) // returns math.matrix([1, 2, 3, -7])
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*
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* const arr = [[1, 2, 3, 4, 5], [1, 2, 3, 4, 5], [9, 8, 7, 6, 4]]
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* math.diff(arr) // returns [[0, 0, 0, 0, 0], [8, 6, 4, 2, -1]]
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* math.diff(arr, 0) // returns [[0, 0, 0, 0, 0], [8, 6, 4, 2, -1]]
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* math.diff(arr, 1) // returns [[1, 1, 1, 1], [1, 1, 1, 1], [-1, -1, -1, -2]]
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* math.diff(arr, math.bignumber(1)) // returns [[1, 1, 1, 1], [1, 1, 1, 1], [-1, -1, -1, -2]]
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*
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* math.diff(arr, 2) // throws RangeError as arr is 2 dimensional not 3
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* math.diff(arr, -1) // throws RangeError as negative dimensions are not allowed
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*
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* // These will all produce the same result
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* math.diff([[1, 2], [3, 4]])
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* math.diff([math.matrix([1, 2]), math.matrix([3, 4])])
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* math.diff([[1, 2], math.matrix([3, 4])])
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* math.diff([math.matrix([1, 2]), [3, 4]])
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* // They do not produce the same result as math.diff(math.matrix([[1, 2], [3, 4]])) as this returns a matrix
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*
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* See Also:
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*
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* sum
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* subtract
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* partitionSelect
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*
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* @param {Array | Matrix} arr An array or matrix
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* @param {number} dim Dimension
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* @return {Array | Matrix} Difference between array elements in given dimension
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*/
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return typed(name, {
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'Array | Matrix': function ArrayMatrix(arr) {
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// No dimension specified => assume dimension 0
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if (isMatrix(arr)) {
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return matrix(_diff(arr.toArray()));
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} else {
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return _diff(arr);
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}
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},
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'Array | Matrix, number': function ArrayMatrixNumber(arr, dim) {
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if (!isInteger(dim)) throw new RangeError('Dimension must be a whole number');
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if (isMatrix(arr)) {
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return matrix(_recursive(arr.toArray(), dim));
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} else {
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return _recursive(arr, dim);
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}
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},
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'Array | Matrix, BigNumber': function ArrayMatrixBigNumber(arr, dim) {
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return this(arr, number(dim));
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}
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});
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/**
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* Recursively find the correct dimension in the array/matrix
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* Then Apply _diff to that dimension
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*
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* @param {Array} arr The array
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* @param {number} dim Dimension
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* @return {Array} resulting array
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*/
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function _recursive(arr, dim) {
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if (isMatrix(arr)) {
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arr = arr.toArray(); // Makes sure arrays like [ matrix([0, 1]), matrix([1, 0]) ] are processed properly
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}
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if (!Array.isArray(arr)) {
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throw RangeError('Array/Matrix does not have that many dimensions');
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}
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if (dim > 0) {
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var result = [];
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arr.forEach(element => {
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result.push(_recursive(element, dim - 1));
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});
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return result;
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} else if (dim === 0) {
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return _diff(arr);
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} else {
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throw RangeError('Cannot have negative dimension');
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}
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}
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/**
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* Difference between elements in the array
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*
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* @param {Array} arr An array
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* @return {Array} resulting array
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*/
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function _diff(arr) {
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var result = [];
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var size = arr.length;
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if (size < 2) {
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return arr;
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}
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for (var i = 1; i < size; i++) {
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result.push(_ElementDiff(arr[i - 1], arr[i]));
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}
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return result;
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}
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/**
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* Difference between 2 objects
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*
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* @param {Object} obj1 First object
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* @param {Object} obj2 Second object
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* @return {Array} resulting array
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*/
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function _ElementDiff(obj1, obj2) {
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// Convert matrices to arrays
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if (isMatrix(obj1)) obj1 = obj1.toArray();
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if (isMatrix(obj2)) obj2 = obj2.toArray();
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var obj1IsArray = Array.isArray(obj1);
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var obj2IsArray = Array.isArray(obj2);
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if (obj1IsArray && obj2IsArray) {
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return _ArrayDiff(obj1, obj2);
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}
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if (!obj1IsArray && !obj2IsArray) {
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return subtract(obj2, obj1); // Difference is (second - first) NOT (first - second)
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}
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throw TypeError('Cannot calculate difference between 1 array and 1 non-array');
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}
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/**
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* Difference of elements in 2 arrays
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*
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* @param {Array} arr1 Array 1
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* @param {Array} arr2 Array 2
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* @return {Array} resulting array
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*/
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function _ArrayDiff(arr1, arr2) {
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if (arr1.length !== arr2.length) {
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throw RangeError('Not all sub-arrays have the same length');
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}
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var result = [];
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var size = arr1.length;
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for (var i = 0; i < size; i++) {
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result.push(_ElementDiff(arr1[i], arr2[i]));
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}
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return result;
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}
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});
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