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mathjs

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Math.js is an extensive math library for JavaScript and Node.js. It features a flexible expression parser with support for symbolic computation, comes with a large set of built-in functions and constants, and offers an integrated solution to work with dif

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import { factory } from '../../../utils/factory.js'; import { DimensionError } from '../../../error/DimensionError.js'; import { scatter } from '../../../utils/collection.js'; var name = 'matAlgo06xS0S0'; var dependencies = ['typed', 'equalScalar']; export var createMatAlgo06xS0S0 = /* #__PURE__ */factory(name, dependencies, _ref => { var { typed, equalScalar } = _ref; /** * Iterates over SparseMatrix A and SparseMatrix B nonzero items and invokes the callback function f(Aij, Bij). * Callback function invoked (Anz U Bnz) times, where Anz and Bnz are the nonzero elements in both matrices. * * * ┌ f(Aij, Bij) ; A(i,j) !== 0 && B(i,j) !== 0 * C(i,j) = ┤ * └ 0 ; otherwise * * * @param {Matrix} a The SparseMatrix instance (A) * @param {Matrix} b The SparseMatrix instance (B) * @param {Function} callback The f(Aij,Bij) operation to invoke * * @return {Matrix} SparseMatrix (C) * * see https://github.com/josdejong/mathjs/pull/346#issuecomment-97620294 */ return function matAlgo06xS0S0(a, b, callback) { // sparse matrix arrays var avalues = a._values; var asize = a._size; var adt = a._datatype || a._data === undefined ? a._datatype : a.getDataType(); // sparse matrix arrays var bvalues = b._values; var bsize = b._size; var bdt = b._datatype || b._data === undefined ? b._datatype : b.getDataType(); // validate dimensions if (asize.length !== bsize.length) { throw new DimensionError(asize.length, bsize.length); } // check rows & columns if (asize[0] !== bsize[0] || asize[1] !== bsize[1]) { throw new RangeError('Dimension mismatch. Matrix A (' + asize + ') must match Matrix B (' + bsize + ')'); } // rows & columns var rows = asize[0]; var columns = asize[1]; // datatype var dt; // equal signature to use var eq = equalScalar; // zero value var zero = 0; // callback signature to use var cf = callback; // process data types if (typeof adt === 'string' && adt === bdt && adt !== 'mixed') { // datatype dt = adt; // find signature that matches (dt, dt) eq = typed.find(equalScalar, [dt, dt]); // convert 0 to the same datatype zero = typed.convert(0, dt); // callback cf = typed.find(callback, [dt, dt]); } // result arrays var cvalues = avalues && bvalues ? [] : undefined; var cindex = []; var cptr = []; // workspaces var x = cvalues ? [] : undefined; // marks indicating we have a value in x for a given column var w = []; // marks indicating value in a given row has been updated var u = []; // loop columns for (var j = 0; j < columns; j++) { // update cptr cptr[j] = cindex.length; // columns mark var mark = j + 1; // scatter the values of A(:,j) into workspace scatter(a, j, w, x, u, mark, cindex, cf); // scatter the values of B(:,j) into workspace scatter(b, j, w, x, u, mark, cindex, cf); // check we need to process values (non pattern matrix) if (x) { // initialize first index in j var k = cptr[j]; // loop index in j while (k < cindex.length) { // row var i = cindex[k]; // check function was invoked on current row (Aij !=0 && Bij != 0) if (u[i] === mark) { // value @ i var v = x[i]; // check for zero value if (!eq(v, zero)) { // push value cvalues.push(v); // increment pointer k++; } else { // remove value @ i, do not increment pointer cindex.splice(k, 1); } } else { // remove value @ i, do not increment pointer cindex.splice(k, 1); } } } else { // initialize first index in j var p = cptr[j]; // loop index in j while (p < cindex.length) { // row var r = cindex[p]; // check function was invoked on current row (Aij !=0 && Bij != 0) if (u[r] !== mark) { // remove value @ i, do not increment pointer cindex.splice(p, 1); } else { // increment pointer p++; } } } } // update cptr cptr[columns] = cindex.length; // return sparse matrix return a.createSparseMatrix({ values: cvalues, index: cindex, ptr: cptr, size: [rows, columns], datatype: adt === a._datatype && bdt === b._datatype ? dt : undefined }); }; });