jiangchengfeiyi-xiaochengxu/node_modules/mathjs/lib/cjs/function/algebra/sparse/csEreach.js

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2025-01-02 03:13:50 +00:00
"use strict";
Object.defineProperty(exports, "__esModule", {
value: true
});
exports.csEreach = csEreach;
var _csMark = require("./csMark.js");
var _csMarked = require("./csMarked.js");
// Copyright (c) 2006-2024, Timothy A. Davis, All Rights Reserved.
// SPDX-License-Identifier: LGPL-2.1+
// https://github.com/DrTimothyAldenDavis/SuiteSparse/tree/dev/CSparse/Source
/**
* Find nonzero pattern of Cholesky L(k,1:k-1) using etree and triu(A(:,k))
*
* @param {Matrix} a The A matrix
* @param {Number} k The kth column in A
* @param {Array} parent The parent vector from the symbolic analysis result
* @param {Array} w The nonzero pattern xi[top] .. xi[n - 1], an array of size = 2 * n
* The first n entries is the nonzero pattern, the last n entries is the stack
*
* @return {Number} The index for the nonzero pattern
*/
function csEreach(a, k, parent, w) {
// a arrays
const aindex = a._index;
const aptr = a._ptr;
const asize = a._size;
// columns
const n = asize[1];
// initialize top
let top = n;
// vars
let p, p0, p1, len;
// mark node k as visited
(0, _csMark.csMark)(w, k);
// loop values & index for column k
for (p0 = aptr[k], p1 = aptr[k + 1], p = p0; p < p1; p++) {
// A(i,k) is nonzero
let i = aindex[p];
// only use upper triangular part of A
if (i > k) {
continue;
}
// traverse up etree
for (len = 0; !(0, _csMarked.csMarked)(w, i); i = parent[i]) {
// L(k,i) is nonzero, last n entries in w
w[n + len++] = i;
// mark i as visited
(0, _csMark.csMark)(w, i);
}
while (len > 0) {
// decrement top & len
--top;
--len;
// push path onto stack, last n entries in w
w[n + top] = w[n + len];
}
}
// unmark all nodes
for (p = top; p < n; p++) {
// use stack value, last n entries in w
(0, _csMark.csMark)(w, w[n + p]);
}
// unmark node k
(0, _csMark.csMark)(w, k);
// s[top..n-1] contains pattern of L(k,:)
return top;
}