mathjs
Version:
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
153 lines (144 loc) • 4.8 kB
JavaScript
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
});
};
});