simple-squiggle

A restricted subset of Squiggle
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csEreach.js (1960B)


      1 "use strict";
      2 
      3 Object.defineProperty(exports, "__esModule", {
      4   value: true
      5 });
      6 exports.csEreach = csEreach;
      7 
      8 var _csMark = require("./csMark.js");
      9 
     10 var _csMarked = require("./csMarked.js");
     11 
     12 /**
     13  * Find nonzero pattern of Cholesky L(k,1:k-1) using etree and triu(A(:,k))
     14  *
     15  * @param {Matrix}  a               The A matrix
     16  * @param {Number}  k               The kth column in A
     17  * @param {Array}   parent          The parent vector from the symbolic analysis result
     18  * @param {Array}   w               The nonzero pattern xi[top] .. xi[n - 1], an array of size = 2 * n
     19  *                                  The first n entries is the nonzero pattern, the last n entries is the stack
     20  *
     21  * @return {Number}                 The index for the nonzero pattern
     22  *
     23  * Reference: http://faculty.cse.tamu.edu/davis/publications.html
     24  */
     25 function csEreach(a, k, parent, w) {
     26   // a arrays
     27   var aindex = a._index;
     28   var aptr = a._ptr;
     29   var asize = a._size; // columns
     30 
     31   var n = asize[1]; // initialize top
     32 
     33   var top = n; // vars
     34 
     35   var p, p0, p1, len; // mark node k as visited
     36 
     37   (0, _csMark.csMark)(w, k); // loop values & index for column k
     38 
     39   for (p0 = aptr[k], p1 = aptr[k + 1], p = p0; p < p1; p++) {
     40     // A(i,k) is nonzero
     41     var i = aindex[p]; // only use upper triangular part of A
     42 
     43     if (i > k) {
     44       continue;
     45     } // traverse up etree
     46 
     47 
     48     for (len = 0; !(0, _csMarked.csMarked)(w, i); i = parent[i]) {
     49       // L(k,i) is nonzero, last n entries in w
     50       w[n + len++] = i; // mark i as visited
     51 
     52       (0, _csMark.csMark)(w, i);
     53     }
     54 
     55     while (len > 0) {
     56       // decrement top & len
     57       --top;
     58       --len; // push path onto stack, last n entries in w
     59 
     60       w[n + top] = w[n + len];
     61     }
     62   } // unmark all nodes
     63 
     64 
     65   for (p = top; p < n; p++) {
     66     // use stack value, last n entries in w
     67     (0, _csMark.csMark)(w, w[n + p]);
     68   } // unmark node k
     69 
     70 
     71   (0, _csMark.csMark)(w, k); // s[top..n-1] contains pattern of L(k,:)
     72 
     73   return top;
     74 }