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SuperLU/superlu-removemc64.patch

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--- a/SRC/mc64ad.c 2016-05-22 17:58:44.000000000 +0200
+++ b/SRC/mc64ad.c 2018-04-13 17:13:23.571981656 +0200
@@ -1,2645 +1,16 @@
-/* mc64ad.f -- translated by f2c (version 20100827).
- You must link the resulting object file with libf2c:
- on Microsoft Windows system, link with libf2c.lib;
- on Linux or Unix systems, link with .../path/to/libf2c.a -lm
- or, if you install libf2c.a in a standard place, with -lf2c -lm
- -- in that order, at the end of the command line, as in
- cc *.o -lf2c -lm
- Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,
-
- http://www.netlib.org/f2c/libf2c.zip
-*/
-
-#include "slu_ddefs.h"
-
-#define abs(a) ((a) >= 0) ? (a) : -(a)
-#define min(a,b) ((a) < (b)) ? (a) : (b)
-
-#if 0
-/* Table of constant values */
-static int_t c__1 = 1;
-static int_t c__2 = 2;
-#endif
-
-/* CCCC COPYRIGHT (c) 1999 Council for the Central Laboratory of the */
-/* CCCC Research Councils. All rights reserved. */
-/* CCCC PACKAGE MC64A/AD */
-/* CCCC AUTHORS Iain Duff (i.duff@rl.ac.uk) and Jacko Koster (jak@ii.uib.no) */
-/* CCCC LAST UPDATE 20/09/99 */
-/* CCCC */
-/* *** Conditions on external use *** */
-
-/* The user shall acknowledge the contribution of this */
-/* package in any publication of material dependent upon the use of */
-/* the package. The user shall use reasonable endeavours to notify */
-/* the authors of the package of this publication. */
-
-/* The user can modify this code but, at no time */
-/* shall the right or title to all or any part of this package pass */
-/* to the user. The user shall make available free of charge */
-/* to the authors for any purpose all information relating to any */
-/* alteration or addition made to this package for the purposes of */
-/* extending the capabilities or enhancing the performance of this */
-/* package. */
-
-/* The user shall not pass this code directly to a third party without the */
-/* express prior consent of the authors. Users wanting to licence their */
-/* own copy of these routines should send email to hsl@stfc.ac.uk */
-
-/* None of the comments from the Copyright notice up to and including this */
-/* one shall be removed or altered in any way. */
-/* ********************************************************************** */
-/* Subroutine */ int_t mc64id_(int_t *icntl)
-{
- int_t i__;
-
-
-/* *** Copyright (c) 1999 Council for the Central Laboratory of the */
-/* Research Councils *** */
-/* *** Although every effort has been made to ensure robustness and *** */
-/* *** reliability of the subroutines in this MC64 suite, we *** */
-/* *** disclaim any liability arising through the use or misuse of *** */
-/* *** any of the subroutines. *** */
-/* *** Any problems? Contact ... */
-/* Iain Duff (I.Duff@rl.ac.uk) or Jacko Koster (jak@ii.uib.no) *** */
-
-/* Purpose */
-/* ======= */
-
-/* The components of the array ICNTL control the action of MC64A/AD. */
-/* Default values for these are set in this subroutine. */
-
-/* Parameters */
-/* ========== */
-
-
-/* Local variables */
-
-/* ICNTL(1) has default value 6. */
-/* It is the output stream for error messages. If it */
-/* is negative, these messages will be suppressed. */
-
-/* ICNTL(2) has default value 6. */
-/* It is the output stream for warning messages. */
-/* If it is negative, these messages are suppressed. */
-
-/* ICNTL(3) has default value -1. */
-/* It is the output stream for monitoring printing. */
-/* If it is negative, these messages are suppressed. */
-
-/* ICNTL(4) has default value 0. */
-/* If left at the defaut value, the incoming data is checked for */
-/* out-of-range indices and duplicates. Setting ICNTL(4) to any */
-/* other will avoid the checks but is likely to cause problems */
-/* later if out-of-range indices or duplicates are present. */
-/* The user should only set ICNTL(4) non-zero, if the data is */
-/* known to avoid these problems. */
-
-/* ICNTL(5) to ICNTL(10) are not used by MC64A/AD but are set to */
-/* zero in this routine. */
-/* Initialization of the ICNTL array. */
- /* Parameter adjustments */
- --icntl;
-
- /* Function Body */
- icntl[1] = 6;
- icntl[2] = 6;
- icntl[3] = -1;
- for (i__ = 4; i__ <= 10; ++i__) {
- icntl[i__] = 0;
-/* L10: */
- }
- return 0;
-} /* mc64id_ */
-
-/* ********************************************************************** */
-/* Subroutine */ int_t mc64ad_(int_t *job, int_t *n, int_t *ne, int_t *
- ip, int_t *irn, double *a, int_t *num, int *cperm,
- int_t *liw, int_t *iw, int_t *ldw, double *dw, int_t *
- icntl, int_t *info)
-{
- /* System generated locals */
- int_t i__1, i__2;
- double d__1, d__2;
-
- /* Builtin functions */
- double log(double);
-
- /* Local variables */
- int_t i__, j, k;
- double fact, rinf;
-
- extern /* Subroutine */ int_t mc21ad_(int_t *, int_t *, int_t *,
- int_t *, int_t *, int_t *, int_t *, int_t *),
- mc64bd_(int_t *n, int_t *ne, int_t *ip, int_t *irn, double *a,
- int *iperm, int_t *num, int_t *jperm,
- int_t *pr, int_t *q, int_t *l, double *d__),
- mc64rd_(int_t *n, int_t *ne, int_t *ip, int_t *irn, double *a),
- mc64sd_(int_t *n, int_t *ne, int_t *ip, int_t *irn, double *a,
- int *iperm, int_t *numx, int_t *w, int_t *len, int_t *lenl,
- int_t *lenh, int_t *fc, int_t *iw, int_t *iw4),
- mc64wd_(int_t *n, int_t *ne, int_t *ip, int_t *irn, double *a,
- int *iperm, int_t *num, int_t *jperm, int_t *out,
- int_t *pr, int_t *q, int_t *l, double *u, double *d__);
-
-/* *** Copyright (c) 1999 Council for the Central Laboratory of the */
-/* Research Councils *** */
-/* *** Although every effort has been made to ensure robustness and *** */
-/* *** reliability of the subroutines in this MC64 suite, we *** */
-/* *** disclaim any liability arising through the use or misuse of *** */
-/* *** any of the subroutines. *** */
-/* *** Any problems? Contact ... */
-/* Iain Duff (I.Duff@rl.ac.uk) or Jacko Koster (jak@ii.uib.no) *** */
-
-/* Purpose */
-/* ======= */
-
-/* This subroutine attempts to find a column permutation for an NxN */
-/* sparse matrix A = {a_ij} that makes the permuted matrix have N */
-/* entries on its diagonal. */
-/* If the matrix is structurally nonsingular, the subroutine optionally */
-/* returns a column permutation that maximizes the smallest element */
-/* on the diagonal, maximizes the sum of the diagonal entries, or */
-/* maximizes the product of the diagonal entries of the permuted matrix. */
-/* For the latter option, the subroutine also finds scaling factors */
-/* that may be used to scale the matrix so that the nonzero diagonal */
-/* entries of the permuted matrix are one in absolute value and all the */
-/* off-diagonal entries are less than or equal to one in absolute value. */
-/* The natural logarithms of the scaling factors u(i), i=1..N, for the */
-/* rows and v(j), j=1..N, for the columns are returned so that the */
-/* scaled matrix B = {b_ij} has entries b_ij = a_ij * EXP(u_i + v_j). */
-
-/* Parameters */
-/* ========== */
-
-
-/* JOB is an INT_T variable which must be set by the user to */
-/* control the action. It is not altered by the subroutine. */
-/* Possible values for JOB are: */
-/* 1 Compute a column permutation of the matrix so that the */
-/* permuted matrix has as many entries on its diagonal as possible. */
-/* The values on the diagonal are of arbitrary size. HSL subroutine */
-/* MC21A/AD is used for this. See [1]. */
-/* 2 Compute a column permutation of the matrix so that the smallest */
-/* value on the diagonal of the permuted matrix is maximized. */
-/* See [3]. */
-/* 3 Compute a column permutation of the matrix so that the smallest */
-/* value on the diagonal of the permuted matrix is maximized. */
-/* The algorithm differs from the one used for JOB = 2 and may */
-/* have quite a different performance. See [2]. */
-/* 4 Compute a column permutation of the matrix so that the sum */
-/* of the diagonal entries of the permuted matrix is maximized. */
-/* See [3]. */
-/* 5 Compute a column permutation of the matrix so that the product */
-/* of the diagonal entries of the permuted matrix is maximized */
-/* and vectors to scale the matrix so that the nonzero diagonal */
-/* entries of the permuted matrix are one in absolute value and */
-/* all the off-diagonal entries are less than or equal to one in */
-/* absolute value. See [3]. */
-/* Restriction: 1 <= JOB <= 5. */
-
-/* N is an INT_T variable which must be set by the user to the */
-/* order of the matrix A. It is not altered by the subroutine. */
-/* Restriction: N >= 1. */
-
-/* NE is an INT_T variable which must be set by the user to the */
-/* number of entries in the matrix. It is not altered by the */
-/* subroutine. */
-/* Restriction: NE >= 1. */
-
-/* IP is an INT_T array of length N+1. */
-/* IP(J), J=1..N, must be set by the user to the position in array IRN */
-/* of the first row index of an entry in column J. IP(N+1) must be set */
-/* to NE+1. It is not altered by the subroutine. */
-
-/* IRN is an INT_T array of length NE. */
-/* IRN(K), K=1..NE, must be set by the user to hold the row indices of */
-/* the entries of the matrix. Those belonging to column J must be */
-/* stored contiguously in the positions IP(J)..IP(J+1)-1. The ordering */
-/* of the row indices within each column is unimportant. Repeated */
-/* entries are not allowed. The array IRN is not altered by the */
-/* subroutine. */
-
-/* A is a REAL (DOUBLE PRECISION in the D-version) array of length NE. */
-/* The user must set A(K), K=1..NE, to the numerical value of the */
-/* entry that corresponds to IRN(K). */
-/* It is not used by the subroutine when JOB = 1. */
-/* It is not altered by the subroutine. */
-
-/* NUM is an INT_T variable that need not be set by the user. */
-/* On successful exit, NUM will be the number of entries on the */
-/* diagonal of the permuted matrix. */
-/* If NUM < N, the matrix is structurally singular. */
-
-/* CPERM is an INT_T array of length N that need not be set by the */
-/* user. On successful exit, CPERM contains the column permutation. */
-/* Column CPERM(J) of the original matrix is column J in the permuted */
-/* matrix, J=1..N. */
-
-/* LIW is an INT_T variable that must be set by the user to */
-/* the dimension of array IW. It is not altered by the subroutine. */
-/* Restriction: */
-/* JOB = 1 : LIW >= 5N */
-/* JOB = 2 : LIW >= 4N */
-/* JOB = 3 : LIW >= 10N + NE */
-/* JOB = 4 : LIW >= 5N */
-/* JOB = 5 : LIW >= 5N */
-
-/* IW is an INT_T array of length LIW that is used for workspace. */
-
-/* LDW is an INT_T variable that must be set by the user to the */
-/* dimension of array DW. It is not altered by the subroutine. */
-/* Restriction: */
-/* JOB = 1 : LDW is not used */
-/* JOB = 2 : LDW >= N */
-/* JOB = 3 : LDW >= NE */
-/* JOB = 4 : LDW >= 2N + NE */
-/* JOB = 5 : LDW >= 3N + NE */
-
-/* DW is a REAL (DOUBLE PRECISION in the D-version) array of length LDW */
-/* that is used for workspace. If JOB = 5, on return, */
-/* DW(i) contains u_i, i=1..N, and DW(N+j) contains v_j, j=1..N. */
-
-/* ICNTL is an INT_T array of length 10. Its components control the */
-/* output of MC64A/AD and must be set by the user before calling */
-/* MC64A/AD. They are not altered by the subroutine. */
-
-/* ICNTL(1) must be set to specify the output stream for */
-/* error messages. If ICNTL(1) < 0, messages are suppressed. */
-/* The default value set by MC46I/ID is 6. */
-
-/* ICNTL(2) must be set by the user to specify the output stream for */
-/* warning messages. If ICNTL(2) < 0, messages are suppressed. */
-/* The default value set by MC46I/ID is 6. */
-
-/* ICNTL(3) must be set by the user to specify the output stream for */
-/* diagnostic messages. If ICNTL(3) < 0, messages are suppressed. */
-/* The default value set by MC46I/ID is -1. */
-
-/* ICNTL(4) must be set by the user to a value other than 0 to avoid */
-/* checking of the input data. */
-/* The default value set by MC46I/ID is 0. */
-
-/* INFO is an INT_T array of length 10 which need not be set by the */
-/* user. INFO(1) is set non-negative to indicate success. A negative */
-/* value is returned if an error occurred, a positive value if a */
-/* warning occurred. INFO(2) holds further information on the error. */
-/* On exit from the subroutine, INFO(1) will take one of the */
-/* following values: */
-/* 0 : successful entry (for structurally nonsingular matrix). */
-/* +1 : successful entry (for structurally singular matrix). */
-/* +2 : the returned scaling factors are large and may cause */
-/* overflow when used to scale the matrix. */
-/* (For JOB = 5 entry only.) */
-/* -1 : JOB < 1 or JOB > 5. Value of JOB held in INFO(2). */
-/* -2 : N < 1. Value of N held in INFO(2). */
-/* -3 : NE < 1. Value of NE held in INFO(2). */
-/* -4 : the defined length LIW violates the restriction on LIW. */
-/* Value of LIW required given by INFO(2). */
-/* -5 : the defined length LDW violates the restriction on LDW. */
-/* Value of LDW required given by INFO(2). */
-/* -6 : entries are found whose row indices are out of range. INFO(2) */
-/* contains the index of a column in which such an entry is found. */
-/* -7 : repeated entries are found. INFO(2) contains the index of a */
-/* column in which such entries are found. */
-/* INFO(3) to INFO(10) are not currently used and are set to zero by */
-/* the routine. */
-
-/* References: */
-/* [1] I. S. Duff, (1981), */
-/* "Algorithm 575. Permutations for a zero-free diagonal", */
-/* ACM Trans. Math. Software 7(3), 387-390. */
-/* [2] I. S. Duff and J. Koster, (1998), */
-/* "The design and use of algorithms for permuting large */
-/* entries to the diagonal of sparse matrices", */
-/* SIAM J. Matrix Anal. Appl., vol. 20, no. 4, pp. 889-901. */
-/* [3] I. S. Duff and J. Koster, (1999), */
-/* "On algorithms for permuting large entries to the diagonal */
-/* of sparse matrices", */
-/* Technical Report RAL-TR-1999-030, RAL, Oxfordshire, England. */
-/* Local variables and parameters */
-/* External routines and functions */
-/* EXTERNAL FD05AD */
-/* DOUBLE PRECISION FD05AD */
-/* Intrinsic functions */
-/* Set RINF to largest positive real number (infinity) */
-/* XSL RINF = FD05AD(5) */
- /* Parameter adjustments */
- --cperm;
- --ip;
- --a;
- --irn;
- --iw;
- --dw;
- --icntl;
- --info;
-
- /* Function Body */
- rinf = dmach("Overflow");
-/* Check value of JOB */
- if (*job < 1 || *job > 5) {
- info[1] = -1;
- info[2] = *job;
- if (icntl[1] >= 0) {
- printf(" ****** Error in MC64A/AD. INFO(1) = %2d"
- " because JOB = %d\n", (int) info[1], (int) *job);
- }
- goto L99;
- }
-/* Check value of N */
- if (*n < 1) {
- info[1] = -2;
- info[2] = *n;
- if (icntl[1] >= 0) {
- printf(" ****** Error in MC64A/AD. INFO(1) = %2d"
- " because N = %d\n", (int) info[1], (int) *job);
- }
- goto L99;
- }
-/* Check value of NE */
- if (*ne < 1) {
- info[1] = -3;
- info[2] = *ne;
- if (icntl[1] >= 0) {
- printf(" ****** Error in MC64A/AD. INFO(1) = %2d"
- " because NE = %d\n", (int) info[1], (int) *job);
- }
- goto L99;
- }
-/* Check LIW */
- if (*job == 1) {
- k = *n * 5;
- }
- if (*job == 2) {
- k = *n << 2;
- }
- if (*job == 3) {
- k = *n * 10 + *ne;
- }
- if (*job == 4) {
- k = *n * 5;
- }
- if (*job == 5) {
- k = *n * 5;
- }
- if (*liw < k) {
- info[1] = -4;
- info[2] = k;
- if (icntl[1] >= 0) {
- printf(" ****** Error in MC64A/AD. INFO(1) = %2d"
- " LIW too small, must be at least %8d\n", (int) info[1], (int) k);
- }
- goto L99;
- }
-/* Check LDW */
-/* If JOB = 1, do not check */
- if (*job > 1) {
- if (*job == 2) {
- k = *n;
- }
- if (*job == 3) {
- k = *ne;
- }
- if (*job == 4) {
- k = (*n << 1) + *ne;
- }
- if (*job == 5) {
- k = *n * 3 + *ne;
- }
- if (*ldw < k) {
- info[1] = -5;
- info[2] = k;
- if (icntl[1] >= 0) {
- printf(" ****** Error in MC64A/AD. INFO(1) = %2d"
- " LDW too small, must be at least %8d\n", (int) info[1], (int) k);
- }
- goto L99;
- }
- }
- if (icntl[4] == 0) {
-/* Check row indices. Use IW(1:N) as workspace */
- i__1 = *n;
- for (i__ = 1; i__ <= i__1; ++i__) {
- iw[i__] = 0;
-/* L3: */
- }
- i__1 = *n;
- for (j = 1; j <= i__1; ++j) {
- i__2 = ip[j + 1] - 1;
- for (k = ip[j]; k <= i__2; ++k) {
- i__ = irn[k];
-/* Check for row indices that are out of range */
- if (i__ < 1 || i__ > *n) {
- info[1] = -6;
- info[2] = j;
- if (icntl[1] >= 0) {
- printf(" ****** Error in MC64A/AD. INFO(1) = %2d Column %8d"
- " contains an entry with invalid row index %8d\n",
- (int) info[1], (int) j, (int) i__);
- }
- goto L99;
- }
-/* Check for repeated row indices within a column */
- if (iw[i__] == j) {
- info[1] = -7;
- info[2] = j;
- if (icntl[1] >= 0) {
- printf(" ****** Error in MC64A/AD. INFO(1) = %2d"
- " Column %8d"
- " contains two or more entries with row index %8d\n",
- (int) info[1], (int) j, (int) i__);
- }
- goto L99;
- } else {
- iw[i__] = j;
- }
-/* L4: */
- }
-/* L6: */
- }
- }
-/* Print diagnostics on input */
- if (icntl[3] >= 0) {
- printf(" ****** Input parameters for MC64A/AD: JOB = %8d,"
- " N = %d, NE = %8d\n", (int) *job, (int) *n, (int) *ne);
- printf(" IP(1:N+1) = ");
- for (j=1; j<=(*n+1); ++j) {
- printf("%8d", (int) ip[j]);
- if (j%8 == 0) printf("\n");
- }
- printf("\n IRN(1:NE) = ");
- for (j=1; j<=(*ne); ++j) {
- printf("%8d", (int) irn[j]);
- if (j%8 == 0) printf("\n");
- }
- printf("\n");
-
- if (*job > 1) {
- printf(" A(1:NE) = ");
- for (j=1; j<=(*ne); ++j) {
- printf("%f14.4", a[j]);
- if (j%4 == 0) printf("\n");
- }
- printf("\n");
- }
- }
-/* Set components of INFO to zero */
- for (i__ = 1; i__ <= 10; ++i__) {
- info[i__] = 0;
-/* L8: */
- }
-/* Compute maximum matching with MC21A/AD */
- if (*job == 1) {
-/* Put length of column J in IW(J) */
- i__1 = *n;
- for (j = 1; j <= i__1; ++j) {
- iw[j] = ip[j + 1] - ip[j];
-/* L10: */
- }
-/* IW(N+1:5N) is workspace */
-#if 0
- mc21ad_(n, &irn[1], ne, &ip[1], &iw[1], &cperm[1], num, &iw[*n+1]);
-#else
- printf(" ****** Warning from MC64A/AD. Need to link mc21ad.\n");
-#endif
- goto L90;
- }
-/* Compute bottleneck matching */
- if (*job == 2) {
-/* IW(1:5N), DW(1:N) are workspaces */
- mc64bd_(n, ne, &ip[1], &irn[1], &a[1], &cperm[1], num, &iw[1], &iw[*n
- + 1], &iw[(*n << 1) + 1], &iw[*n * 3 + 1], &dw[1]);
- goto L90;
- }
-/* Compute bottleneck matching */
- if (*job == 3) {
-/* Copy IRN(K) into IW(K), ABS(A(K)) into DW(K), K=1..NE */
- i__1 = *ne;
- for (k = 1; k <= i__1; ++k) {
- iw[k] = irn[k];
- dw[k] = (d__1 = a[k], abs(d__1));
-/* L20: */
- }
-/* Sort entries in each column by decreasing value. */
- mc64rd_(n, ne, &ip[1], &iw[1], &dw[1]);
-/* IW(NE+1:NE+10N) is workspace */
- mc64sd_(n, ne, &ip[1], &iw[1], &dw[1], &cperm[1], num, &iw[*ne + 1], &
- iw[*ne + *n + 1], &iw[*ne + (*n << 1) + 1], &iw[*ne + *n * 3
- + 1], &iw[*ne + (*n << 2) + 1], &iw[*ne + *n * 5 + 1], &iw[*
- ne + *n * 6 + 1]);
- goto L90;
- }
- if (*job == 4) {
- i__1 = *n;
- for (j = 1; j <= i__1; ++j) {
- fact = 0.;
- i__2 = ip[j + 1] - 1;
- for (k = ip[j]; k <= i__2; ++k) {
- if ((d__1 = a[k], abs(d__1)) > fact) {
- fact = (d__2 = a[k], abs(d__2));
- }
-/* L30: */
- }
- i__2 = ip[j + 1] - 1;
- for (k = ip[j]; k <= i__2; ++k) {
- dw[(*n << 1) + k] = fact - (d__1 = a[k], abs(d__1));
-/* L40: */
- }
-/* L50: */
- }
-/* B = DW(2N+1:2N+NE); IW(1:5N) and DW(1:2N) are workspaces */
- mc64wd_(n, ne, &ip[1], &irn[1], &dw[(*n << 1) + 1], &cperm[1], num, &
- iw[1], &iw[*n + 1], &iw[(*n << 1) + 1], &iw[*n * 3 + 1], &iw[(
- *n << 2) + 1], &dw[1], &dw[*n + 1]);
- goto L90;
- }
- if (*job == 5) {
- i__1 = *n;
- for (j = 1; j <= i__1; ++j) {
- fact = 0.;
- i__2 = ip[j + 1] - 1;
- for (k = ip[j]; k <= i__2; ++k) {
- dw[*n * 3 + k] = (d__1 = a[k], abs(d__1));
- if (dw[*n * 3 + k] > fact) {
- fact = dw[*n * 3 + k];
- }
-/* L60: */
- }
- dw[(*n << 1) + j] = fact;
- if (fact != 0.) {
- fact = log(fact);
- } else {
- fact = rinf / *n;
- }
- i__2 = ip[j + 1] - 1;
- for (k = ip[j]; k <= i__2; ++k) {
- if (dw[*n * 3 + k] != 0.) {
- dw[*n * 3 + k] = fact - log(dw[*n * 3 + k]);
- } else {
- dw[*n * 3 + k] = rinf / *n;
- }
-/* L70: */
- }
-/* L75: */
- }
-/* B = DW(3N+1:3N+NE); IW(1:5N) and DW(1:2N) are workspaces */
- mc64wd_(n, ne, &ip[1], &irn[1], &dw[*n * 3 + 1], &cperm[1], num, &iw[
- 1], &iw[*n + 1], &iw[(*n << 1) + 1], &iw[*n * 3 + 1], &iw[(*n
- << 2) + 1], &dw[1], &dw[*n + 1]);
- if (*num == *n) {
- i__1 = *n;
- for (j = 1; j <= i__1; ++j) {
- if (dw[(*n << 1) + j] != 0.) {
- dw[*n + j] -= log(dw[(*n << 1) + j]);
- } else {
- dw[*n + j] = 0.;
- }
-/* L80: */
- }
- }
-/* Check size of scaling factors */
- fact = log(rinf) * .5f;
- i__1 = *n;
- for (j = 1; j <= i__1; ++j) {
- if (dw[j] < fact && dw[*n + j] < fact) {
- goto L86;
- }
- info[1] = 2;
- goto L90;
-L86:
- ;
- }
-/* GO TO 90 */
- }
-L90:
- if (info[1] == 0 && *num < *n) {
-/* Matrix is structurally singular, return with warning */
- info[1] = 1;
- if (icntl[2] >= 0) {
- printf(" ****** Warning from MC64A/AD. INFO(1) = %2d"
- " The matrix is structurally singular.\n", (int)info[1]);
- }
- }
- if (info[1] == 2) {
-/* Scaling factors are large, return with warning */
- if (icntl[2] >= 0) {
- printf(" ****** Warning from MC64A/AD. INFO(1) = %2d\n"
- " Some scaling factors may be too large.\n", (int) info[1]);
- }
- }
-/* Print diagnostics on output */
- if (icntl[3] >= 0) {
- printf(" ****** Output parameters for MC64A/AD: INFO(1:2) = %8d%8d\n",
- (int) info[1], (int) info[2]);
- printf(" NUM = %8d", (int) *num);
- printf(" CPERM(1:N) = ");
- for (j=1; j<=*n; ++j) {
- printf("%8d", (int) cperm[j]);
- if (j%8 == 0) printf("\n");
- }
- if (*job == 5) {
- printf("\n DW(1:N) = ");
- for (j=1; j<=*n; ++j) {
- printf("%11.3f", dw[j]);
- if (j%5 == 0) printf("\n");
- }
- printf("\n DW(N+1:2N) = ");
- for (j=1; j<=*n; ++j) {
- printf("%11.3f", dw[*n+j]);
- if (j%5 == 0) printf("\n");
- }
- printf("\n");
- }
- }
-/* Return from subroutine. */
-L99:
- return 0;
-} /* mc64ad_ */
-
-/* ********************************************************************** */
-/* Subroutine */ int_t mc64bd_(int_t *n, int_t *ne, int_t *ip, int_t *
- irn, double *a, int *iperm, int_t *num, int_t *jperm,
- int_t *pr, int_t *q, int_t *l, double *d__)
-{
- /* System generated locals */
- int_t i__1, i__2, i__3;
- double d__1, d__2, d__3;
- int_t c__1 = 1;
-
- /* Local variables */
- int_t i__, j, k;
- double a0;
- int_t i0, q0;
- double ai, di;
- int_t ii, jj, kk;
- double bv;
- int_t up;
- double dq0;
- int_t kk1, kk2;
- double csp;
- int_t isp, jsp, low;
- double dnew;
- int_t jord, qlen, idum, jdum;
- double rinf;
- extern /* Subroutine */ int_t
- mc64dd_(int_t *, int_t *, int_t *, double *, int_t *, int_t *),
- mc64ed_(int_t *, int_t *, int_t *, double *, int_t *, int_t *),
- mc64fd_(int_t *, int_t *, int_t *, int_t *, double *, int_t *, int_t *);
-
-
-/* *** Copyright (c) 1999 Council for the Central Laboratory of the */
-/* Research Councils *** */
-/* *** Although every effort has been made to ensure robustness and *** */
-/* *** reliability of the subroutines in this MC64 suite, we *** */
-/* *** disclaim any liability arising through the use or misuse of *** */
-/* *** any of the subroutines. *** */
-/* *** Any problems? Contact ... */
-/* Iain Duff (I.Duff@rl.ac.uk) or Jacko Koster (jak@ii.uib.no) *** */
-
-/* N, NE, IP, IRN are described in MC64A/AD. */
-/* A is a REAL (DOUBLE PRECISION in the D-version) array of length */
-/* NE. A(K), K=1..NE, must be set to the value of the entry */
-/* that corresponds to IRN(K). It is not altered. */
-/* IPERM is an INT_T array of length N. On exit, it contains the */
-/* matching: IPERM(I) = 0 or row I is matched to column IPERM(I). */
-/* NUM is INT_T variable. On exit, it contains the cardinality of the */
-/* matching stored in IPERM. */
-/* IW is an INT_T work array of length 4N. */
-/* DW is a REAL (DOUBLE PRECISION in D-version) work array of length N. */
-/* Local variables */
-/* Local parameters */
-/* Intrinsic functions */
-/* External subroutines and/or functions */
-/* EXTERNAL FD05AD,MC64DD,MC64ED,MC64FD, DMACH */
-/* DOUBLE PRECISION FD05AD, DMACH */
-/* Set RINF to largest positive real number */
-/* XSL RINF = FD05AD(5) */
- /* Parameter adjustments */
- --d__;
- --l;
- --q;
- --pr;
- --jperm;
- --iperm;
- --ip;
- --a;
- --irn;
-
- /* Function Body */
- rinf = dmach("Overflow");
-/* Initialization */
- *num = 0;
- bv = rinf;
- i__1 = *n;
- for (k = 1; k <= i__1; ++k) {
- iperm[k] = 0;
- jperm[k] = 0;
- pr[k] = ip[k];
- d__[k] = 0.;
-/* L10: */
- }
-/* Scan columns of matrix; */
- i__1 = *n;
- for (j = 1; j <= i__1; ++j) {
- a0 = -1.;
- i__2 = ip[j + 1] - 1;
- for (k = ip[j]; k <= i__2; ++k) {
- i__ = irn[k];
- ai = (d__1 = a[k], abs(d__1));
- if (ai > d__[i__]) {
- d__[i__] = ai;
- }
- if (jperm[j] != 0) {
- goto L30;
- }
- if (ai >= bv) {
- a0 = bv;
- if (iperm[i__] != 0) {
- goto L30;
- }
- jperm[j] = i__;
- iperm[i__] = j;
- ++(*num);
- } else {
- if (ai <= a0) {
- goto L30;
- }
- a0 = ai;
- i0 = i__;
- }
-L30:
- ;
- }
- if (a0 != -1. && a0 < bv) {
- bv = a0;
- if (iperm[i0] != 0) {
- goto L20;
- }
- iperm[i0] = j;
- jperm[j] = i0;
- ++(*num);
- }
-L20:
- ;
- }
-/* Update BV with smallest of all the largest maximum absolute values */
-/* of the rows. */
- i__1 = *n;
- for (i__ = 1; i__ <= i__1; ++i__) {
-/* Computing MIN */
- d__1 = bv, d__2 = d__[i__];
- bv = min(d__1,d__2);
-/* L25: */
- }
- if (*num == *n) {
- goto L1000;
- }
-/* Rescan unassigned columns; improve initial assignment */
- i__1 = *n;
- for (j = 1; j <= i__1; ++j) {
- if (jperm[j] != 0) {
- goto L95;
- }
- i__2 = ip[j + 1] - 1;
- for (k = ip[j]; k <= i__2; ++k) {
- i__ = irn[k];
- ai = (d__1 = a[k], abs(d__1));
- if (ai < bv) {
- goto L50;
- }
- if (iperm[i__] == 0) {
- goto L90;
- }
- jj = iperm[i__];
- kk1 = pr[jj];
- kk2 = ip[jj + 1] - 1;
- if (kk1 > kk2) {
- goto L50;
- }
- i__3 = kk2;
- for (kk = kk1; kk <= i__3; ++kk) {
- ii = irn[kk];
- if (iperm[ii] != 0) {
- goto L70;
- }
- if ((d__1 = a[kk], abs(d__1)) >= bv) {
- goto L80;
- }
-L70:
- ;
- }
- pr[jj] = kk2 + 1;
-L50:
- ;
- }
- goto L95;
-L80:
- jperm[jj] = ii;
- iperm[ii] = jj;
- pr[jj] = kk + 1;
-L90:
- ++(*num);
- jperm[j] = i__;
- iperm[i__] = j;
- pr[j] = k + 1;
-L95:
- ;
- }
- if (*num == *n) {
- goto L1000;
- }
-/* Prepare for main loop */
- i__1 = *n;
- for (i__ = 1; i__ <= i__1; ++i__) {
- d__[i__] = -1.;
- l[i__] = 0;
-/* L99: */
- }
-/* Main loop ... each pass round this loop is similar to Dijkstra's */
-/* algorithm for solving the single source shortest path problem */
- i__1 = *n;
- for (jord = 1; jord <= i__1; ++jord) {
- if (jperm[jord] != 0) {
- goto L100;
- }
- qlen = 0;
- low = *n + 1;
- up = *n + 1;
-/* CSP is cost of shortest path to any unassigned row */
-/* ISP is matrix position of unassigned row element in shortest path */
-/* JSP is column index of unassigned row element in shortest path */
- csp = -1.;
-/* Build shortest path tree starting from unassigned column JORD */
- j = jord;
- pr[j] = -1;
-/* Scan column J */
- i__2 = ip[j + 1] - 1;
- for (k = ip[j]; k <= i__2; ++k) {
- i__ = irn[k];
- dnew = (d__1 = a[k], abs(d__1));
- if (csp >= dnew) {
- goto L115;
- }
- if (iperm[i__] == 0) {
-/* Row I is unassigned; update shortest path info */
- csp = dnew;
- isp = i__;
- jsp = j;
- if (csp >= bv) {
- goto L160;
- }
- } else {
- d__[i__] = dnew;
- if (dnew >= bv) {
-/* Add row I to Q2 */
- --low;
- q[low] = i__;
- } else {
-/* Add row I to Q, and push it */
- ++qlen;
- l[i__] = qlen;
- mc64dd_(&i__, n, &q[1], &d__[1], &l[1], &c__1);
- }
- jj = iperm[i__];
- pr[jj] = j;
- }
-L115:
- ;
- }
- i__2 = *num;
- for (jdum = 1; jdum <= i__2; ++jdum) {
-/* If Q2 is empty, extract new rows from Q */
- if (low == up) {
- if (qlen == 0) {
- goto L160;
- }
- i__ = q[1];
- if (csp >= d__[i__]) {
- goto L160;
- }
- bv = d__[i__];
- i__3 = *n;
- for (idum = 1; idum <= i__3; ++idum) {
- mc64ed_(&qlen, n, &q[1], &d__[1], &l[1], &c__1);
- l[i__] = 0;
- --low;
- q[low] = i__;
- if (qlen == 0) {
- goto L153;
- }
- i__ = q[1];
- if (d__[i__] != bv) {
- goto L153;
- }
-/* L152: */
- }
-/* End of dummy loop; this point is never reached */
- }
-/* Move row Q0 */
-L153:
- --up;
- q0 = q[up];
- dq0 = d__[q0];
- l[q0] = up;
-/* Scan column that matches with row Q0 */
- j = iperm[q0];
- i__3 = ip[j + 1] - 1;
- for (k = ip[j]; k <= i__3; ++k) {
- i__ = irn[k];
-/* Update D(I) */
- if (l[i__] >= up) {
- goto L155;
- }
-/* Computing MIN */
- d__2 = dq0, d__3 = (d__1 = a[k], abs(d__1));
- dnew = min(d__2,d__3);
- if (csp >= dnew) {
- goto L155;
- }
- if (iperm[i__] == 0) {
-/* Row I is unassigned; update shortest path info */
- csp = dnew;
- isp = i__;
- jsp = j;
- if (csp >= bv) {
- goto L160;
- }
- } else {
- di = d__[i__];
- if (di >= bv || di >= dnew) {
- goto L155;
- }
- d__[i__] = dnew;
- if (dnew >= bv) {
-/* Delete row I from Q (if necessary); add row I to Q2 */
- if (di != -1.) {
- mc64fd_(&l[i__], &qlen, n, &q[1], &d__[1], &l[1],
- &c__1);
- }
- l[i__] = 0;
- --low;
- q[low] = i__;
- } else {
-/* Add row I to Q (if necessary); push row I up Q */
- if (di == -1.) {
- ++qlen;
- l[i__] = qlen;
- }
- mc64dd_(&i__, n, &q[1], &d__[1], &l[1], &c__1);
- }
-/* Update tree */
- jj = iperm[i__];
- pr[jj] = j;
- }
-L155:
- ;
- }
-/* L150: */
- }
-/* If CSP = MINONE, no augmenting path is found */
-L160:
- if (csp == -1.) {
- goto L190;
- }
-/* Update bottleneck value */
- bv = min(bv,csp);
-/* Find augmenting path by tracing backward in PR; update IPERM,JPERM */
- ++(*num);
- i__ = isp;
- j = jsp;
- i__2 = *num + 1;
- for (jdum = 1; jdum <= i__2; ++jdum) {
- i0 = jperm[j];
- jperm[j] = i__;
- iperm[i__] = j;
- j = pr[j];
- if (j == -1) {
- goto L190;
- }
- i__ = i0;
-/* L170: */
- }
-/* End of dummy loop; this point is never reached */
-L190:
- i__2 = *n;
- for (kk = up; kk <= i__2; ++kk) {
- i__ = q[kk];
- d__[i__] = -1.;
- l[i__] = 0;
-/* L191: */
- }
- i__2 = up - 1;
- for (kk = low; kk <= i__2; ++kk) {
- i__ = q[kk];
- d__[i__] = -1.;
-/* L192: */
- }
- i__2 = qlen;
- for (kk = 1; kk <= i__2; ++kk) {
- i__ = q[kk];
- d__[i__] = -1.;
- l[i__] = 0;
-/* L193: */
- }
-L100:
- ;
- }
-/* End of main loop */
-/* BV is bottleneck value of final matching */
- if (*num == *n) {
- goto L1000;
- }
-/* Matrix is structurally singular, complete IPERM. */
-/* JPERM, PR are work arrays */
- i__1 = *n;
- for (j = 1; j <= i__1; ++j) {
- jperm[j] = 0;
-/* L300: */
- }
- k = 0;
- i__1 = *n;
- for (i__ = 1; i__ <= i__1; ++i__) {
- if (iperm[i__] == 0) {
- ++k;
- pr[k] = i__;
- } else {
- j = iperm[i__];
- jperm[j] = i__;
- }
-/* L310: */
- }
- k = 0;
- i__1 = *n;
- for (i__ = 1; i__ <= i__1; ++i__) {
- if (jperm[i__] != 0) {
- goto L320;
- }
- ++k;
- jdum = pr[k];
- iperm[jdum] = i__;
-L320:
- ;
- }
-L1000:
- return 0;
-} /* mc64bd_ */
-
-/* ********************************************************************** */
-/* Subroutine */ int_t mc64dd_(int_t *i__, int_t *n, int_t *q, double
- *d__, int_t *l, int_t *iway)
-{
- /* System generated locals */
- int_t i__1;
-
- /* Local variables */
- double di;
- int_t qk, pos, idum, posk;
-
-
-/* *** Copyright (c) 1999 Council for the Central Laboratory of the */
-/* Research Councils *** */
-/* *** Although every effort has been made to ensure robustness and *** */
-/* *** reliability of the subroutines in this MC64 suite, we *** */
-/* *** disclaim any liability arising through the use or misuse of *** */
-/* *** any of the subroutines. *** */
-/* *** Any problems? Contact ... */
-/* Iain Duff (I.Duff@rl.ac.uk) or Jacko Koster (jak@ii.uib.no) *** */
-
-/* Variables N,Q,D,L are described in MC64B/BD */
-/* IF IWAY is equal to 1, then */
-/* node I is pushed from its current position upwards */
-/* IF IWAY is not equal to 1, then */
-/* node I is pushed from its current position downwards */
-/* Local variables and parameters */
- /* Parameter adjustments */
- --l;
- --d__;
- --q;
-
- /* Function Body */
- di = d__[*i__];
- pos = l[*i__];
-/* POS is index of current position of I in the tree */
- if (*iway == 1) {
- i__1 = *n;
- for (idum = 1; idum <= i__1; ++idum) {
- if (pos <= 1) {
- goto L20;
- }
- posk = pos / 2;
- qk = q[posk];
- if (di <= d__[qk]) {
- goto L20;
- }
- q[pos] = qk;
- l[qk] = pos;
- pos = posk;
-/* L10: */
- }
-/* End of dummy loop; this point is never reached */
- } else {
- i__1 = *n;
- for (idum = 1; idum <= i__1; ++idum) {
- if (pos <= 1) {
- goto L20;
- }
- posk = pos / 2;
- qk = q[posk];
- if (di >= d__[qk]) {
- goto L20;
- }
- q[pos] = qk;
- l[qk] = pos;
- pos = posk;
-/* L15: */
- }
-/* End of dummy loop; this point is never reached */
- }
-/* End of dummy if; this point is never reached */
-L20:
- q[pos] = *i__;
- l[*i__] = pos;
- return 0;
-} /* mc64dd_ */
-
-/* ********************************************************************** */
-/* Subroutine */ int_t mc64ed_(int_t *qlen, int_t *n, int_t *q,
- double *d__, int_t *l, int_t *iway)
-{
- /* System generated locals */
- int_t i__1;
-
- /* Local variables */
- int_t i__;
- double di, dk, dr;
- int_t pos, idum, posk;
-
-
-/* *** Copyright (c) 1999 Council for the Central Laboratory of the */
-/* Research Councils *** */
-/* *** Although every effort has been made to ensure robustness and *** */
-/* *** reliability of the subroutines in this MC64 suite, we *** */
-/* *** disclaim any liability arising through the use or misuse of *** */
-/* *** any of the subroutines. *** */
-/* *** Any problems? Contact ... */
-/* Iain Duff (I.Duff@rl.ac.uk) or Jacko Koster (jak@ii.uib.no) *** */
-
-/* Variables QLEN,N,Q,D,L are described in MC64B/BD (IWAY = 1) or */
-/* MC64W/WD (IWAY = 2) */
-/* The root node is deleted from the binary heap. */
-/* Local variables and parameters */
-/* Move last element to begin of Q */
- /* Parameter adjustments */
- --l;
- --d__;
- --q;
-
- /* Function Body */
- i__ = q[*qlen];
- di = d__[i__];
- --(*qlen);
- pos = 1;
- if (*iway == 1) {
- i__1 = *n;
- for (idum = 1; idum <= i__1; ++idum) {
- posk = pos << 1;
- if (posk > *qlen) {
- goto L20;
- }
- dk = d__[q[posk]];
- if (posk < *qlen) {
- dr = d__[q[posk + 1]];
- if (dk < dr) {
- ++posk;
- dk = dr;
- }
- }
- if (di >= dk) {
- goto L20;
- }
-/* Exchange old last element with larger priority child */
- q[pos] = q[posk];
- l[q[pos]] = pos;
- pos = posk;
-/* L10: */
- }
-/* End of dummy loop; this point is never reached */
- } else {
- i__1 = *n;
- for (idum = 1; idum <= i__1; ++idum) {
- posk = pos << 1;
- if (posk > *qlen) {
- goto L20;
- }
- dk = d__[q[posk]];
- if (posk < *qlen) {
- dr = d__[q[posk + 1]];
- if (dk > dr) {
- ++posk;
- dk = dr;
- }
- }
- if (di <= dk) {
- goto L20;
- }
-/* Exchange old last element with smaller child */
- q[pos] = q[posk];
- l[q[pos]] = pos;
- pos = posk;
-/* L15: */
- }
-/* End of dummy loop; this point is never reached */
- }
-/* End of dummy if; this point is never reached */
-L20:
- q[pos] = i__;
- l[i__] = pos;
- return 0;
-} /* mc64ed_ */
-
-/* ********************************************************************** */
-/* Subroutine */ int_t mc64fd_(int_t *pos0, int_t *qlen, int_t *n,
- int_t *q, double *d__, int_t *l, int_t *iway)
-{
- /* System generated locals */
- int_t i__1;
-
- /* Local variables */
- int_t i__;
- double di, dk, dr;
- int_t qk, pos, idum, posk;
-
-
-/* *** Copyright (c) 1999 Council for the Central Laboratory of the */
-/* Research Councils *** */
-/* *** Although every effort has been made to ensure robustness and *** */
-/* *** reliability of the subroutines in this MC64 suite, we *** */
-/* *** disclaim any liability arising through the use or misuse of *** */
-/* *** any of the subroutines. *** */
-/* *** Any problems? Contact ... */
-/* Iain Duff (I.Duff@rl.ac.uk) or Jacko Koster (jak@ii.uib.no) *** */
-
-/* Variables QLEN,N,Q,D,L are described in MC64B/BD (IWAY = 1) or */
-/* MC64WD (IWAY = 2). */
-/* Move last element in the heap */
-/* Quick return, if possible */
- /* Parameter adjustments */
- --l;
- --d__;
- --q;
-
- /* Function Body */
- if (*qlen == *pos0) {
- --(*qlen);
- return 0;
- }
-/* Move last element from queue Q to position POS0 */
-/* POS is current position of node I in the tree */
- i__ = q[*qlen];
- di = d__[i__];
- --(*qlen);
- pos = *pos0;
- if (*iway == 1) {
- i__1 = *n;
- for (idum = 1; idum <= i__1; ++idum) {
- if (pos <= 1) {
- goto L20;
- }
- posk = pos / 2;
- qk = q[posk];
- if (di <= d__[qk]) {
- goto L20;
- }
- q[pos] = qk;
- l[qk] = pos;
- pos = posk;
-/* L10: */
- }
-/* End of dummy loop; this point is never reached */
-L20:
- q[pos] = i__;
- l[i__] = pos;
- i__1 = *n;
- for (idum = 1; idum <= i__1; ++idum) {
- posk = pos << 1;
- if (posk > *qlen) {
- goto L40;
- }
- dk = d__[q[posk]];
- if (posk < *qlen) {
- dr = d__[q[posk + 1]];
- if (dk < dr) {
- ++posk;
- dk = dr;
- }
- }
- if (di >= dk) {
- goto L40;
- }
- qk = q[posk];
- q[pos] = qk;
- l[qk] = pos;
- pos = posk;
-/* L30: */
- }
-/* End of dummy loop; this point is never reached */
- } else {
- i__1 = *n;
- for (idum = 1; idum <= i__1; ++idum) {
- if (pos <= 1) {
- goto L34;
- }
- posk = pos / 2;
- qk = q[posk];
- if (di >= d__[qk]) {
- goto L34;
- }
- q[pos] = qk;
- l[qk] = pos;
- pos = posk;
-/* L32: */
- }
-/* End of dummy loop; this point is never reached */
-L34:
- q[pos] = i__;
- l[i__] = pos;
- i__1 = *n;
- for (idum = 1; idum <= i__1; ++idum) {
- posk = pos << 1;
- if (posk > *qlen) {
- goto L40;
- }
- dk = d__[q[posk]];
- if (posk < *qlen) {
- dr = d__[q[posk + 1]];
- if (dk > dr) {
- ++posk;
- dk = dr;
- }
- }
- if (di <= dk) {
- goto L40;
- }
- qk = q[posk];
- q[pos] = qk;
- l[qk] = pos;
- pos = posk;
-/* L36: */
- }
-/* End of dummy loop; this point is never reached */
- }
-/* End of dummy if; this point is never reached */
-L40:
- q[pos] = i__;
- l[i__] = pos;
- return 0;
-} /* mc64fd_ */
-
-/* ********************************************************************** */
-/* Subroutine */ int_t mc64rd_(int_t *n, int_t *ne, int_t *ip, int_t *
- irn, double *a)
-{
- /* System generated locals */
- int_t i__1, i__2, i__3;
-
- /* Local variables */
- int_t j, k, r__, s;
- double ha;
- int_t hi, td, mid, len, ipj;
- double key;
- int_t last, todo[50], first;
-
-
-/* *** Copyright (c) 1999 Council for the Central Laboratory of the */
-/* Research Councils *** */
-/* *** Although every effort has been made to ensure robustness and *** */
-/* *** reliability of the subroutines in this MC64 suite, we *** */
-/* *** disclaim any liability arising through the use or misuse of *** */
-/* *** any of the subroutines. *** */
-/* *** Any problems? Contact ... */
-/* Iain Duff (I.Duff@rl.ac.uk) or Jacko Koster (jak@ii.uib.no) *** */
-
-/* This subroutine sorts the entries in each column of the */
-/* sparse matrix (defined by N,NE,IP,IRN,A) by decreasing */
-/* numerical value. */
-/* Local constants */
-/* Local variables */
-/* Local arrays */
- /* Parameter adjustments */
- --ip;
- --a;
- --irn;
-
- /* Function Body */
- i__1 = *n;
- for (j = 1; j <= i__1; ++j) {
- len = ip[j + 1] - ip[j];
- if (len <= 1) {
- goto L100;
- }
- ipj = ip[j];
-/* Sort array roughly with partial quicksort */
- if (len < 15) {
- goto L400;
- }
- todo[0] = ipj;
- todo[1] = ipj + len;
- td = 2;
-L500:
- first = todo[td - 2];
- last = todo[td - 1];
-/* KEY is the smallest of two values present in interval [FIRST,LAST) */
- key = a[(first + last) / 2];
- i__2 = last - 1;
- for (k = first; k <= i__2; ++k) {
- ha = a[k];
- if (ha == key) {
- goto L475;
- }
- if (ha > key) {
- goto L470;
- }
- key = ha;
- goto L470;
-L475:
- ;
- }
-/* Only one value found in interval, so it is already sorted */
- td += -2;
- goto L425;
-/* Reorder interval [FIRST,LAST) such that entries before MID are gt KEY */
-L470:
- mid = first;
- i__2 = last - 1;
- for (k = first; k <= i__2; ++k) {
- if (a[k] <= key) {
- goto L450;
- }
- ha = a[mid];
- a[mid] = a[k];
- a[k] = ha;
- hi = irn[mid];
- irn[mid] = irn[k];
- irn[k] = hi;
- ++mid;
-L450:
- ;
- }
-/* Both subintervals [FIRST,MID), [MID,LAST) are nonempty */
-/* Stack the longest of the two subintervals first */
- if (mid - first >= last - mid) {
- todo[td + 1] = last;
- todo[td] = mid;
- todo[td - 1] = mid;
-/* TODO(TD-1) = FIRST */
- } else {
- todo[td + 1] = mid;
- todo[td] = first;
- todo[td - 1] = last;
- todo[td - 2] = mid;
- }
- td += 2;
-L425:
- if (td == 0) {
- goto L400;
- }
-/* There is still work to be done */
- if (todo[td - 1] - todo[td - 2] >= 15) {
- goto L500;
- }
-/* Next interval is already short enough for straightforward insertion */
- td += -2;
- goto L425;
-/* Complete sorting with straightforward insertion */
-L400:
- i__2 = ipj + len - 1;
- for (r__ = ipj + 1; r__ <= i__2; ++r__) {
- if (a[r__ - 1] < a[r__]) {
- ha = a[r__];
- hi = irn[r__];
- a[r__] = a[r__ - 1];
- irn[r__] = irn[r__ - 1];
- i__3 = ipj + 1;
- for (s = r__ - 1; s >= i__3; --s) {
- if (a[s - 1] < ha) {
- a[s] = a[s - 1];
- irn[s] = irn[s - 1];
- } else {
- a[s] = ha;
- irn[s] = hi;
- goto L200;
- }
-/* L300: */
- }
- a[ipj] = ha;
- irn[ipj] = hi;
- }
-L200:
- ;
- }
-L100:
- ;
- }
- return 0;
-} /* mc64rd_ */
-
-/* ********************************************************************** */
-/* Subroutine */ int_t mc64sd_(int_t *n, int_t *ne, int_t *ip, int_t *
- irn, double *a, int *iperm, int_t *numx, int_t *w,
- int_t *len, int_t *lenl, int_t *lenh, int_t *fc, int_t *iw,
- int_t *iw4)
-{
- /* System generated locals */
- int_t i__1, i__2, i__3, i__4;
-
- /* Local variables */
- int_t i__, j, k, l, ii, mod, cnt, num;
- double bval, bmin, bmax, rinf;
- int_t nval, wlen, idum1, idum2, idum3;
- extern /* Subroutine */ int_t
- mc64qd_(int_t *, int_t *, int_t *, int_t *, int_t *, double *,
- int_t *, double *),
- mc64ud_(int_t *, int_t *, int_t *, int_t *, int_t *,
- int_t *, int_t *, int_t *, int_t *, int_t *, int_t *,
- int_t *, int_t *, int_t *, int_t *);
-
-/* *** Copyright (c) 1999 Council for the Central Laboratory of the */
-/* Research Councils *** */
-/* *** Although every effort has been made to ensure robustness and *** */
-/* *** reliability of the subroutines in this MC64 suite, we *** */
-/* *** disclaim any liability arising through the use or misuse of *** */
-/* *** any of the subroutines. *** */
-/* *** Any problems? Contact ... */
-/* Iain Duff (I.Duff@rl.ac.uk) or Jacko Koster (jak@ii.uib.no) *** */
-
-/* N, NE, IP, IRN, are described in MC64A/AD. */
-/* A is a REAL (DOUBLE PRECISION in the D-version) array of length NE. */
-/* A(K), K=1..NE, must be set to the value of the entry that */
-/* corresponds to IRN(k). The entries in each column must be */
-/* non-negative and ordered by decreasing value. */
-/* IPERM is an INT_T array of length N. On exit, it contains the */
-/* bottleneck matching: IPERM(I) - 0 or row I is matched to column */
-/* IPERM(I). */
-/* NUMX is an INT_T variable. On exit, it contains the cardinality */
-/* of the matching stored in IPERM. */
-/* IW is an INT_T work array of length 10N. */
-/* FC is an int_t array of length N that contains the list of */
-/* unmatched columns. */
-/* LEN(J), LENL(J), LENH(J) are int_t arrays of length N that point */
-/* to entries in matrix column J. */
-/* In the matrix defined by the column parts IP(J)+LENL(J) we know */
-/* a matching does not exist; in the matrix defined by the column */
-/* parts IP(J)+LENH(J) we know one exists. */
-/* LEN(J) lies between LENL(J) and LENH(J) and determines the matrix */
-/* that is tested for a maximum matching. */
-/* W is an int_t array of length N and contains the indices of the */
-/* columns for which LENL ne LENH. */
-/* WLEN is number of indices stored in array W. */
-/* IW is int_t work array of length N. */
-/* IW4 is int_t work array of length 4N used by MC64U/UD. */
-/* EXTERNAL FD05AD,MC64QD,MC64UD */
-/* DOUBLE PRECISION FD05AD */
-/* BMIN and BMAX are such that a maximum matching exists for the input */
-/* matrix in which all entries smaller than BMIN are dropped. */
-/* For BMAX, a maximum matching does not exist. */
-/* BVAL is a value between BMIN and BMAX. */
-/* CNT is the number of calls made to MC64U/UD so far. */
-/* NUM is the cardinality of last matching found. */
-/* Set RINF to largest positive real number */
-/* XSL RINF = FD05AD(5) */
- /* Parameter adjustments */
- --iw4;
- --iw;
- --fc;
- --lenh;
- --lenl;
- --len;
- --w;
- --iperm;
- --ip;
- --a;
- --irn;
-
- /* Function Body */
- rinf = dmach("Overflow");
-/* Compute a first maximum matching from scratch on whole matrix. */
- i__1 = *n;
- for (j = 1; j <= i__1; ++j) {
- fc[j] = j;
- iw[j] = 0;
- len[j] = ip[j + 1] - ip[j];
-/* L20: */
- }
-/* The first call to MC64U/UD */
- cnt = 1;
- mod = 1;
- *numx = 0;
- mc64ud_(&cnt, &mod, n, &irn[1], ne, &ip[1], &len[1], &fc[1], &iw[1], numx,
- n, &iw4[1], &iw4[*n + 1], &iw4[(*n << 1) + 1], &iw4[*n * 3 + 1]);
-/* IW contains a maximum matching of length NUMX. */
- num = *numx;
- if (num != *n) {
-/* Matrix is structurally singular */
- bmax = rinf;
- } else {
-/* Matrix is structurally nonsingular, NUM=NUMX=N; */
-/* Set BMAX just above the smallest of all the maximum absolute */
-/* values of the columns */
- bmax = rinf;
- i__1 = *n;
- for (j = 1; j <= i__1; ++j) {
- bval = 0.f;
- i__2 = ip[j + 1] - 1;
- for (k = ip[j]; k <= i__2; ++k) {
- if (a[k] > bval) {
- bval = a[k];
- }
-/* L25: */
- }
- if (bval < bmax) {
- bmax = bval;
- }
-/* L30: */
- }
- bmax *= 1.001f;
- }
-/* Initialize BVAL,BMIN */
- bval = 0.f;
- bmin = 0.f;
-/* Initialize LENL,LEN,LENH,W,WLEN according to BMAX. */
-/* Set LEN(J), LENH(J) just after last entry in column J. */
-/* Set LENL(J) just after last entry in column J with value ge BMAX. */
- wlen = 0;
- i__1 = *n;
- for (j = 1; j <= i__1; ++j) {
- l = ip[j + 1] - ip[j];
- lenh[j] = l;
- len[j] = l;
- i__2 = ip[j + 1] - 1;
- for (k = ip[j]; k <= i__2; ++k) {
- if (a[k] < bmax) {
- goto L46;
- }
-/* L45: */
- }
-/* Column J is empty or all entries are ge BMAX */
- k = ip[j + 1];
-L46:
- lenl[j] = k - ip[j];
-/* Add J to W if LENL(J) ne LENH(J) */
- if (lenl[j] == l) {
- goto L48;
- }
- ++wlen;
- w[wlen] = j;
-L48:
- ;
- }
-/* Main loop */
- i__1 = *ne;
- for (idum1 = 1; idum1 <= i__1; ++idum1) {
- if (num == *numx) {
-/* We have a maximum matching in IW; store IW in IPERM */
- i__2 = *n;
- for (i__ = 1; i__ <= i__2; ++i__) {
- iperm[i__] = iw[i__];
-/* L50: */
- }
-/* Keep going round this loop until matching IW is no longer maximum. */
- i__2 = *ne;
- for (idum2 = 1; idum2 <= i__2; ++idum2) {
- bmin = bval;
- if (bmax == bmin) {
- goto L99;
- }
-/* Find splitting value BVAL */
- mc64qd_(&ip[1], &lenl[1], &len[1], &w[1], &wlen, &a[1], &nval,
- &bval);
- if (nval <= 1) {
- goto L99;
- }
-/* Set LEN such that all matrix entries with value lt BVAL are */
-/* discarded. Store old LEN in LENH. Do this for all columns W(K). */
-/* Each step, either K is incremented or WLEN is decremented. */
- k = 1;
- i__3 = *n;
- for (idum3 = 1; idum3 <= i__3; ++idum3) {
- if (k > wlen) {
- goto L71;
- }
- j = w[k];
- i__4 = ip[j] + lenl[j];
- for (ii = ip[j] + len[j] - 1; ii >= i__4; --ii) {
- if (a[ii] >= bval) {
- goto L60;
- }
- i__ = irn[ii];
- if (iw[i__] != j) {
- goto L55;
- }
-/* Remove entry from matching */
- iw[i__] = 0;
- --num;
- fc[*n - num] = j;
-L55:
- ;
- }
-L60:
- lenh[j] = len[j];
-/* IP(J)+LEN(J)-1 is last entry in column ge BVAL */
- len[j] = ii - ip[j] + 1;
-/* If LENH(J) = LENL(J), remove J from W */
- if (lenl[j] == lenh[j]) {
- w[k] = w[wlen];
- --wlen;
- } else {
- ++k;
- }
-/* L70: */
- }
-L71:
- if (num < *numx) {
- goto L81;
- }
-/* L80: */
- }
-/* End of dummy loop; this point is never reached */
-/* Set mode for next call to MC64U/UD */
-L81:
- mod = 1;
- } else {
-/* We do not have a maximum matching in IW. */
- bmax = bval;
-/* BMIN is the bottleneck value of a maximum matching; */
-/* for BMAX the matching is not maximum, so BMAX>BMIN */
-/* IF (BMAX .EQ. BMIN) GO TO 99 */
-/* Find splitting value BVAL */
- mc64qd_(&ip[1], &len[1], &lenh[1], &w[1], &wlen, &a[1], &nval, &
- bval);
- if (nval == 0 || bval == bmin) {
- goto L99;
- }
-/* Set LEN such that all matrix entries with value ge BVAL are */
-/* inside matrix. Store old LEN in LENL. Do this for all columns W(K). */
-/* Each step, either K is incremented or WLEN is decremented. */
- k = 1;
- i__2 = *n;
- for (idum3 = 1; idum3 <= i__2; ++idum3) {
- if (k > wlen) {
- goto L88;
- }
- j = w[k];
- i__3 = ip[j] + lenh[j] - 1;
- for (ii = ip[j] + len[j]; ii <= i__3; ++ii) {
- if (a[ii] < bval) {
- goto L86;
- }
-/* L85: */
- }
-L86:
- lenl[j] = len[j];
- len[j] = ii - ip[j];
- if (lenl[j] == lenh[j]) {
- w[k] = w[wlen];
- --wlen;
- } else {
- ++k;
- }
-/* L87: */
- }
-/* End of dummy loop; this point is never reached */
-/* Set mode for next call to MC64U/UD */
-L88:
- mod = 0;
- }
- ++cnt;
- mc64ud_(&cnt, &mod, n, &irn[1], ne, &ip[1], &len[1], &fc[1], &iw[1], &
- num, numx, &iw4[1], &iw4[*n + 1], &iw4[(*n << 1) + 1], &iw4[*
- n * 3 + 1]);
-/* IW contains maximum matching of length NUM */
-/* L90: */
- }
-/* End of dummy loop; this point is never reached */
-/* BMIN is bottleneck value of final matching */
-L99:
- if (*numx == *n) {
- goto L1000;
- }
-/* The matrix is structurally singular, complete IPERM */
-/* W, IW are work arrays */
- i__1 = *n;
- for (j = 1; j <= i__1; ++j) {
- w[j] = 0;
-/* L300: */
- }
- k = 0;
- i__1 = *n;
- for (i__ = 1; i__ <= i__1; ++i__) {
- if (iperm[i__] == 0) {
- ++k;
- iw[k] = i__;
- } else {
- j = iperm[i__];
- w[j] = i__;
- }
-/* L310: */
- }
- k = 0;
- i__1 = *n;
- for (j = 1; j <= i__1; ++j) {
- if (w[j] != 0) {
- goto L320;
- }
- ++k;
- idum1 = iw[k];
- iperm[idum1] = j;
-L320:
- ;
- }
-L1000:
- return 0;
-} /* mc64sd_ */
-
-/* ********************************************************************** */
-/* Subroutine */ int_t mc64qd_(int_t *ip, int_t *lenl, int_t *lenh,
- int_t *w, int_t *wlen, double *a, int_t *nval, double *
- val)
-{
- /* System generated locals */
- int_t i__1, i__2, i__3;
-
- /* Local variables */
- int_t j, k, s;
- double ha;
- int_t ii, pos;
- double split[10];
-
-
-/* *** Copyright (c) 1999 Council for the Central Laboratory of the */
-/* Research Councils *** */
-/* *** Although every effort has been made to ensure robustness and *** */
-/* *** reliability of the subroutines in this MC64 suite, we *** */
-/* *** disclaim any liability arising through the use or misuse of *** */
-/* *** any of the subroutines. *** */
-/* *** Any problems? Contact ... */
-/* Iain Duff (I.Duff@rl.ac.uk) or Jacko Koster (jak@ii.uib.no) *** */
-
-/* This routine searches for at most XX different numerical values */
-/* in the columns W(1:WLEN). XX>=2. */
-/* Each column J is scanned between IP(J)+LENL(J) and IP(J)+LENH(J)-1 */
-/* until XX values are found or all columns have been considered. */
-/* On output, NVAL is the number of different values that is found */
-/* and SPLIT(1:NVAL) contains the values in decreasing order. */
-/* If NVAL > 0, the routine returns VAL = SPLIT((NVAL+1)/2). */
-
-/* Scan columns in W(1:WLEN). For each encountered value, if value not */
-/* already present in SPLIT(1:NVAL), insert value such that SPLIT */
-/* remains sorted by decreasing value. */
-/* The sorting is done by straightforward insertion; therefore the use */
-/* of this routine should be avoided for large XX (XX < 20). */
- /* Parameter adjustments */
- --a;
- --w;
- --lenh;
- --lenl;
- --ip;
-
- /* Function Body */
- *nval = 0;
- i__1 = *wlen;
- for (k = 1; k <= i__1; ++k) {
- j = w[k];
- i__2 = ip[j] + lenh[j] - 1;
- for (ii = ip[j] + lenl[j]; ii <= i__2; ++ii) {
- ha = a[ii];
- if (*nval == 0) {
- split[0] = ha;
- *nval = 1;
- } else {
-/* Check presence of HA in SPLIT */
- for (s = *nval; s >= 1; --s) {
- if (split[s - 1] == ha) {
- goto L15;
- }
- if (split[s - 1] > ha) {
- pos = s + 1;
- goto L21;
- }
-/* L20: */
- }
- pos = 1;
-/* The insertion */
-L21:
- i__3 = pos;
- for (s = *nval; s >= i__3; --s) {
- split[s] = split[s - 1];
-/* L22: */
- }
- split[pos - 1] = ha;
- ++(*nval);
- }
-/* Exit loop if XX values are found */
- if (*nval == 10) {
- goto L11;
- }
-L15:
- ;
- }
-/* L10: */
- }
-/* Determine VAL */
-L11:
- if (*nval > 0) {
- *val = split[(*nval + 1) / 2 - 1];
- }
- return 0;
-} /* mc64qd_ */
-
-/* ********************************************************************** */
-/* Subroutine */ int_t mc64ud_(int_t *id, int_t *mod, int_t *n, int_t *
- irn, int_t *lirn, int_t *ip, int_t *lenc, int_t *fc, int_t *
- iperm, int_t *num, int_t *numx, int_t *pr, int_t *arp,
- int_t *cv, int_t *out)
-{
- /* System generated locals */
- int_t i__1, i__2, i__3, i__4;
-
- /* Local variables */
- int_t i__, j, k, j1, ii, kk, id0, id1, in1, in2, nfc, num0, num1, num2,
- jord, last;
-
-
-/* *** Copyright (c) 1999 Council for the Central Laboratory of the */
-/* Research Councils *** */
-/* *** Although every effort has been made to ensure robustness and *** */
-/* *** reliability of the subroutines in this MC64 suite, we *** */
-/* *** disclaim any liability arising through the use or misuse of *** */
-/* *** any of the subroutines. *** */
-/* *** Any problems? Contact ... */
-/* Iain Duff (I.Duff@rl.ac.uk) or Jacko Koster (jak@ii.uib.no) *** */
-
-/* PR(J) is the previous column to J in the depth first search. */
-/* Array PR is used as workspace in the sorting algorithm. */
-/* Elements (I,IPERM(I)) I=1,..,N are entries at the end of the */
-/* algorithm unless N assignments have not been made in which case */
-/* N-NUM pairs (I,IPERM(I)) will not be entries in the matrix. */
-/* CV(I) is the most recent loop number (ID+JORD) at which row I */
-/* was visited. */
-/* ARP(J) is the number of entries in column J which have been scanned */
-/* when looking for a cheap assignment. */
-/* OUT(J) is one less than the number of entries in column J which have */
-/* not been scanned during one pass through the main loop. */
-/* NUMX is maximum possible size of matching. */
- /* Parameter adjustments */
- --out;
- --cv;
- --arp;
- --pr;
- --iperm;
- --fc;
- --lenc;
- --ip;
- --irn;
-
- /* Function Body */
- if (*id == 1) {
-/* The first call to MC64U/UD. */
-/* Initialize CV and ARP; parameters MOD, NUMX are not accessed */
- i__1 = *n;
- for (i__ = 1; i__ <= i__1; ++i__) {
- cv[i__] = 0;
- arp[i__] = 0;
-/* L5: */
- }
- num1 = *n;
- num2 = *n;
- } else {
-/* Not the first call to MC64U/UD. */
-/* Re-initialize ARP if entries were deleted since last call to MC64U/UD */
- if (*mod == 1) {
- i__1 = *n;
- for (i__ = 1; i__ <= i__1; ++i__) {
- arp[i__] = 0;
-/* L8: */
- }
- }
- num1 = *numx;
- num2 = *n - *numx;
- }
- num0 = *num;
-/* NUM0 is size of input matching */
-/* NUM1 is maximum possible size of matching */
-/* NUM2 is maximum allowed number of unassigned rows/columns */
-/* NUM is size of current matching */
-/* Quick return if possible */
-/* IF (NUM.EQ.N) GO TO 199 */
-/* NFC is number of rows/columns that could not be assigned */
- nfc = 0;
-/* Integers ID0+1 to ID0+N are unique numbers for call ID to MC64U/UD, */
-/* so 1st call uses 1..N, 2nd call uses N+1..2N, etc */
- id0 = (*id - 1) * *n;
-/* Main loop. Each pass round this loop either results in a new */
-/* assignment or gives a column with no assignment */
- i__1 = *n;
- for (jord = num0 + 1; jord <= i__1; ++jord) {
-/* Each pass uses unique number ID1 */
- id1 = id0 + jord;
-/* J is unmatched column */
- j = fc[jord - num0];
- pr[j] = -1;
- i__2 = jord;
- for (k = 1; k <= i__2; ++k) {
-/* Look for a cheap assignment */
- if (arp[j] >= lenc[j]) {
- goto L30;
- }
- in1 = ip[j] + arp[j];
- in2 = ip[j] + lenc[j] - 1;
- i__3 = in2;
- for (ii = in1; ii <= i__3; ++ii) {
- i__ = irn[ii];
- if (iperm[i__] == 0) {
- goto L80;
- }
-/* L20: */
- }
-/* No cheap assignment in row */
- arp[j] = lenc[j];
-/* Begin looking for assignment chain starting with row J */
-L30:
- out[j] = lenc[j] - 1;
-/* Inner loop. Extends chain by one or backtracks */
- i__3 = jord;
- for (kk = 1; kk <= i__3; ++kk) {
- in1 = out[j];
- if (in1 < 0) {
- goto L50;
- }
- in2 = ip[j] + lenc[j] - 1;
- in1 = in2 - in1;
-/* Forward scan */
- i__4 = in2;
- for (ii = in1; ii <= i__4; ++ii) {
- i__ = irn[ii];
- if (cv[i__] == id1) {
- goto L40;
- }
-/* Column J has not yet been accessed during this pass */
- j1 = j;
- j = iperm[i__];
- cv[i__] = id1;
- pr[j] = j1;
- out[j1] = in2 - ii - 1;
- goto L70;
-L40:
- ;
- }
-/* Backtracking step. */
-L50:
- j1 = pr[j];
- if (j1 == -1) {
-/* No augmenting path exists for column J. */
- ++nfc;
- fc[nfc] = j;
- if (nfc > num2) {
-/* A matching of maximum size NUM1 is not possible */
- last = jord;
- goto L101;
- }
- goto L100;
- }
- j = j1;
-/* L60: */
- }
-/* End of dummy loop; this point is never reached */
-L70:
- ;
- }
-/* End of dummy loop; this point is never reached */
-/* New assignment is made. */
-L80:
- iperm[i__] = j;
- arp[j] = ii - ip[j] + 1;
- ++(*num);
- i__2 = jord;
- for (k = 1; k <= i__2; ++k) {
- j = pr[j];
- if (j == -1) {
- goto L95;
- }
- ii = ip[j] + lenc[j] - out[j] - 2;
- i__ = irn[ii];
- iperm[i__] = j;
-/* L90: */
- }
-/* End of dummy loop; this point is never reached */
-L95:
- if (*num == num1) {
-/* A matching of maximum size NUM1 is found */
- last = jord;
- goto L101;
- }
-
-L100:
- ;
- }
-/* All unassigned columns have been considered */
- last = *n;
-/* Now, a transversal is computed or is not possible. */
-/* Complete FC before returning. */
-L101:
- i__1 = *n;
- for (jord = last + 1; jord <= i__1; ++jord) {
- ++nfc;
- fc[nfc] = fc[jord - num0];
-/* L110: */
- }
-/* 199 RETURN */
- return 0;
-} /* mc64ud_ */
-
-/* ********************************************************************** */
-/* Subroutine */ int_t mc64wd_(int_t *n, int_t *ne, int_t *ip, int_t *
- irn, double *a, int *iperm, int_t *num, int_t *jperm,
- int_t *out, int_t *pr, int_t *q, int_t *l, double *u,
- double *d__)
-{
- /* System generated locals */
- int_t i__1, i__2, i__3, c__2 = 2;
-
- /* Local variables */
- int_t i__, j, k, i0, k0, k1, k2, q0;
- double di;
- int_t ii, jj, kk;
- double vj;
- int_t up;
- double dq0;
- int_t kk1, kk2;
- double csp;
- int_t isp, jsp, low;
- double dmin__, dnew;
- int_t jord, qlen, jdum;
- double rinf;
- extern /* Subroutine */ int_t
- mc64dd_(int_t *, int_t *, int_t *, double *, int_t *, int_t *),
- mc64ed_(int_t *, int_t *, int_t *, double *, int_t *, int_t *),
- mc64fd_(int_t *, int_t *, int_t *, int_t *, double *, int_t *, int_t *);
-
-
-/* *** Copyright (c) 1999 Council for the Central Laboratory of the */
-/* Research Councils *** */
-/* *** Although every effort has been made to ensure robustness and *** */
-/* *** reliability of the subroutines in this MC64 suite, we *** */
-/* *** disclaim any liability arising through the use or misuse of *** */
-/* *** any of the subroutines. *** */
-/* *** Any problems? Contact ... */
-/* Iain Duff (I.Duff@rl.ac.uk) or Jacko Koster (jak@ii.uib.no) *** */
-
-/* N, NE, IP, IRN are described in MC64A/AD. */
-/* A is a REAL (DOUBLE PRECISION in the D-version) array of length NE. */
-/* A(K), K=1..NE, must be set to the value of the entry that */
-/* corresponds to IRN(K). It is not altered. */
-/* All values A(K) must be non-negative. */
-/* IPERM is an INT_T array of length N. On exit, it contains the */
-/* weighted matching: IPERM(I) = 0 or row I is matched to column */
-/* IPERM(I). */
-/* NUM is an INT_T variable. On exit, it contains the cardinality of */
-/* the matching stored in IPERM. */
-/* IW is an INT_T work array of length 5N. */
-/* DW is a REAL (DOUBLE PRECISION in the D-version) array of length 2N. */
-/* On exit, U = D(1:N) contains the dual row variable and */
-/* V = D(N+1:2N) contains the dual column variable. If the matrix */
-/* is structurally nonsingular (NUM = N), the following holds: */
-/* U(I)+V(J) <= A(I,J) if IPERM(I) |= J */
-/* U(I)+V(J) = A(I,J) if IPERM(I) = J */
-/* U(I) = 0 if IPERM(I) = 0 */
-/* V(J) = 0 if there is no I for which IPERM(I) = J */
-/* Local variables */
-/* Local parameters */
-/* External subroutines and/or functions */
-/* EXTERNAL FD05AD,MC64DD,MC64ED,MC64FD */
-/* DOUBLE PRECISION FD05AD */
-/* Set RINF to largest positive real number */
-/* XSL RINF = FD05AD(5) */
- /* Parameter adjustments */
- --d__;
- --u;
- --l;
- --q;
- --pr;
- --out;
- --jperm;
- --iperm;
- --ip;
- --a;
- --irn;
-
- /* Function Body */
- rinf = dmach("Overflow");
-/* Initialization */
- *num = 0;
- i__1 = *n;
- for (k = 1; k <= i__1; ++k) {
- u[k] = rinf;
- d__[k] = 0.;
- iperm[k] = 0;
- jperm[k] = 0;
- pr[k] = ip[k];
- l[k] = 0;
-/* L10: */
- }
-/* Initialize U(I) */
- i__1 = *n;
- for (j = 1; j <= i__1; ++j) {
- i__2 = ip[j + 1] - 1;
- for (k = ip[j]; k <= i__2; ++k) {
- i__ = irn[k];
- if (a[k] > u[i__]) {
- goto L20;
- }
- u[i__] = a[k];
- iperm[i__] = j;
- l[i__] = k;
-L20:
- ;
- }
-/* L30: */
- }
- i__1 = *n;
- for (i__ = 1; i__ <= i__1; ++i__) {
- j = iperm[i__];
- if (j == 0) {
- goto L40;
- }
-/* Row I is not empty */
- iperm[i__] = 0;
- if (jperm[j] != 0) {
- goto L40;
- }
-/* Assignment of column J to row I */
- ++(*num);
- iperm[i__] = j;
- jperm[j] = l[i__];
-L40:
- ;
- }
- if (*num == *n) {
- goto L1000;
- }
-/* Scan unassigned columns; improve assignment */
- i__1 = *n;
- for (j = 1; j <= i__1; ++j) {
-/* JPERM(J) ne 0 iff column J is already assigned */
- if (jperm[j] != 0) {
- goto L95;
- }
- k1 = ip[j];
- k2 = ip[j + 1] - 1;
-/* Continue only if column J is not empty */
- if (k1 > k2) {
- goto L95;
- }
- vj = rinf;
- i__2 = k2;
- for (k = k1; k <= i__2; ++k) {
- i__ = irn[k];
- di = a[k] - u[i__];
- if (di > vj) {
- goto L50;
- }
- if (di < vj || di == rinf) {
- goto L55;
- }
- if (iperm[i__] != 0 || iperm[i0] == 0) {
- goto L50;
- }
-L55:
- vj = di;
- i0 = i__;
- k0 = k;
-L50:
- ;
- }
- d__[j] = vj;
- k = k0;
- i__ = i0;
- if (iperm[i__] == 0) {
- goto L90;
- }
- i__2 = k2;
- for (k = k0; k <= i__2; ++k) {
- i__ = irn[k];
- if (a[k] - u[i__] > vj) {
- goto L60;
- }
- jj = iperm[i__];
-/* Scan remaining part of assigned column JJ */
- kk1 = pr[jj];
- kk2 = ip[jj + 1] - 1;
- if (kk1 > kk2) {
- goto L60;
- }
- i__3 = kk2;
- for (kk = kk1; kk <= i__3; ++kk) {
- ii = irn[kk];
- if (iperm[ii] > 0) {
- goto L70;
- }
- if (a[kk] - u[ii] <= d__[jj]) {
- goto L80;
- }
-L70:
- ;
- }
- pr[jj] = kk2 + 1;
-L60:
- ;
- }
- goto L95;
-L80:
- jperm[jj] = kk;
- iperm[ii] = jj;
- pr[jj] = kk + 1;
-L90:
- ++(*num);
- jperm[j] = k;
- iperm[i__] = j;
- pr[j] = k + 1;
-L95:
- ;
- }
- if (*num == *n) {
- goto L1000;
- }
-/* Prepare for main loop */
- i__1 = *n;
- for (i__ = 1; i__ <= i__1; ++i__) {
- d__[i__] = rinf;
- l[i__] = 0;
-/* L99: */
- }
-/* Main loop ... each pass round this loop is similar to Dijkstra's */
-/* algorithm for solving the single source shortest path problem */
- i__1 = *n;
- for (jord = 1; jord <= i__1; ++jord) {
- if (jperm[jord] != 0) {
- goto L100;
- }
-/* JORD is next unmatched column */
-/* DMIN is the length of shortest path in the tree */
- dmin__ = rinf;
- qlen = 0;
- low = *n + 1;
- up = *n + 1;
-/* CSP is the cost of the shortest augmenting path to unassigned row */
-/* IRN(ISP). The corresponding column index is JSP. */
- csp = rinf;
-/* Build shortest path tree starting from unassigned column (root) JORD */
- j = jord;
- pr[j] = -1;
-/* Scan column J */
- i__2 = ip[j + 1] - 1;
- for (k = ip[j]; k <= i__2; ++k) {
- i__ = irn[k];
- dnew = a[k] - u[i__];
- if (dnew >= csp) {
- goto L115;
- }
- if (iperm[i__] == 0) {
- csp = dnew;
- isp = k;
- jsp = j;
- } else {
- if (dnew < dmin__) {
- dmin__ = dnew;
- }
- d__[i__] = dnew;
- ++qlen;
- q[qlen] = k;
- }
-L115:
- ;
- }
-/* Initialize heap Q and Q2 with rows held in Q(1:QLEN) */
- q0 = qlen;
- qlen = 0;
- i__2 = q0;
- for (kk = 1; kk <= i__2; ++kk) {
- k = q[kk];
- i__ = irn[k];
- if (csp <= d__[i__]) {
- d__[i__] = rinf;
- goto L120;
- }
- if (d__[i__] <= dmin__) {
- --low;
- q[low] = i__;
- l[i__] = low;
- } else {
- ++qlen;
- l[i__] = qlen;
- mc64dd_(&i__, n, &q[1], &d__[1], &l[1], &c__2);
- }
-/* Update tree */
- jj = iperm[i__];
- out[jj] = k;
- pr[jj] = j;
-L120:
- ;
- }
- i__2 = *num;
- for (jdum = 1; jdum <= i__2; ++jdum) {
-/* If Q2 is empty, extract rows from Q */
- if (low == up) {
- if (qlen == 0) {
- goto L160;
- }
- i__ = q[1];
- if (d__[i__] >= csp) {
- goto L160;
- }
- dmin__ = d__[i__];
-L152:
- mc64ed_(&qlen, n, &q[1], &d__[1], &l[1], &c__2);
- --low;
- q[low] = i__;
- l[i__] = low;
- if (qlen == 0) {
- goto L153;
- }
- i__ = q[1];
- if (d__[i__] > dmin__) {
- goto L153;
- }
- goto L152;
- }
-/* Q0 is row whose distance D(Q0) to the root is smallest */
-L153:
- q0 = q[up - 1];
- dq0 = d__[q0];
-/* Exit loop if path to Q0 is longer than the shortest augmenting path */
- if (dq0 >= csp) {
- goto L160;
- }
- --up;
-/* Scan column that matches with row Q0 */
- j = iperm[q0];
- vj = dq0 - a[jperm[j]] + u[q0];
- i__3 = ip[j + 1] - 1;
- for (k = ip[j]; k <= i__3; ++k) {
- i__ = irn[k];
- if (l[i__] >= up) {
- goto L155;
- }
-/* DNEW is new cost */
- dnew = vj + a[k] - u[i__];
-/* Do not update D(I) if DNEW ge cost of shortest path */
- if (dnew >= csp) {
- goto L155;
- }
- if (iperm[i__] == 0) {
-/* Row I is unmatched; update shortest path info */
- csp = dnew;
- isp = k;
- jsp = j;
- } else {
-/* Row I is matched; do not update D(I) if DNEW is larger */
- di = d__[i__];
- if (di <= dnew) {
- goto L155;
- }
- if (l[i__] >= low) {
- goto L155;
- }
- d__[i__] = dnew;
- if (dnew <= dmin__) {
- if (l[i__] != 0) {
- mc64fd_(&l[i__], &qlen, n, &q[1], &d__[1], &l[1],
- &c__2);
- }
- --low;
- q[low] = i__;
- l[i__] = low;
- } else {
- if (l[i__] == 0) {
- ++qlen;
- l[i__] = qlen;
- }
- mc64dd_(&i__, n, &q[1], &d__[1], &l[1], &c__2);
- }
-/* Update tree */
- jj = iperm[i__];
- out[jj] = k;
- pr[jj] = j;
- }
-L155:
- ;
- }
-/* L150: */
- }
-/* If CSP = RINF, no augmenting path is found */
-L160:
- if (csp == rinf) {
- goto L190;
- }
-/* Find augmenting path by tracing backward in PR; update IPERM,JPERM */
- ++(*num);
- i__ = irn[isp];
- iperm[i__] = jsp;
- jperm[jsp] = isp;
- j = jsp;
- i__2 = *num;
- for (jdum = 1; jdum <= i__2; ++jdum) {
- jj = pr[j];
- if (jj == -1) {
- goto L180;
- }
- k = out[j];
- i__ = irn[k];
- iperm[i__] = jj;
- jperm[jj] = k;
- j = jj;
-/* L170: */
- }
-/* End of dummy loop; this point is never reached */
-/* Update U for rows in Q(UP:N) */
-L180:
- i__2 = *n;
- for (kk = up; kk <= i__2; ++kk) {
- i__ = q[kk];
- u[i__] = u[i__] + d__[i__] - csp;
-/* L185: */
- }
-L190:
- i__2 = *n;
- for (kk = low; kk <= i__2; ++kk) {
- i__ = q[kk];
- d__[i__] = rinf;
- l[i__] = 0;
-/* L191: */
- }
- i__2 = qlen;
- for (kk = 1; kk <= i__2; ++kk) {
- i__ = q[kk];
- d__[i__] = rinf;
- l[i__] = 0;
-/* L193: */
- }
-L100:
- ;
- }
-/* End of main loop */
-/* Set dual column variable in D(1:N) */
-L1000:
- i__1 = *n;
- for (j = 1; j <= i__1; ++j) {
- k = jperm[j];
- if (k != 0) {
- d__[j] = a[k] - u[irn[k]];
- } else {
- d__[j] = 0.;
- }
- if (iperm[j] == 0) {
- u[j] = 0.;
- }
-/* L200: */
- }
- if (*num == *n) {
- goto L1100;
- }
-/* The matrix is structurally singular, complete IPERM. */
-/* JPERM, OUT are work arrays */
- i__1 = *n;
- for (j = 1; j <= i__1; ++j) {
- jperm[j] = 0;
-/* L300: */
- }
- k = 0;
- i__1 = *n;
- for (i__ = 1; i__ <= i__1; ++i__) {
- if (iperm[i__] == 0) {
- ++k;
- out[k] = i__;
- } else {
- j = iperm[i__];
- jperm[j] = i__;
- }
-/* L310: */
- }
- k = 0;
- i__1 = *n;
- for (j = 1; j <= i__1; ++j) {
- if (jperm[j] != 0) {
- goto L320;
- }
- ++k;
- jdum = out[k];
- iperm[jdum] = j;
-L320:
- ;
- }
-L1100:
- return 0;
-} /* mc64wd_ */
-
-
+#include <stdio.h>
+#include <stdlib.h>
+
+void mc64id_(int *a)
+ {
+ fprintf(stderr, "SuperLU: MC64 functionality not available (it uses non-free code). Aborting.\n");
+ abort();
+}
+
+void mc64ad_(int *a, int *b, int *c, int d[], int e[], double f[],
+ int *g, int h[], int *i, int j[], int *k, double l[],
+ int m[], int n[])
+{
+ fprintf(stderr, "SuperLU: MC64 functionality not available (it uses non-free code). Aborting.\n");
+ abort();
+}
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