mathjs/lib/type/matrix/utils/algorithm06.js

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

'use strict';

var scatter = require('./../../../utils/collection/scatter');

var DimensionError = require('../../../error/DimensionError');

function factory(type, config, load, typed) {
  var equalScalar = load(require('../../../function/relational/equalScalar'));
  var SparseMatrix = type.SparseMatrix;
  /**
   * 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
   */

  var algorithm06 = function algorithm06(a, b, callback) {
    // sparse matrix arrays
    var avalues = a._values;
    var asize = a._size;
    var adt = a._datatype; // sparse matrix arrays

    var bvalues = b._values;
    var bsize = b._size;
    var bdt = b._datatype; // 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) {
      // 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 = []; // matrix

    var c = new SparseMatrix({
      values: cvalues,
      index: cindex,
      ptr: cptr,
      size: [rows, columns],
      datatype: dt
    }); // 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, c, cf); // scatter the values of B(:,j) into workspace

      scatter(b, j, w, x, u, mark, c, 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 c;
  };

  return algorithm06;
}

exports.name = 'algorithm06';
exports.factory = factory;