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author | shmel1k <shmel1k@ydb.tech> | 2022-09-02 12:44:59 +0300 |
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committer | shmel1k <shmel1k@ydb.tech> | 2022-09-02 12:44:59 +0300 |
commit | 90d450f74722da7859d6f510a869f6c6908fd12f (patch) | |
tree | 538c718dedc76cdfe37ad6d01ff250dd930d9278 /contrib/libs/clapack/sgecon.c | |
parent | 01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff) | |
download | ydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz |
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/sgecon.c')
-rw-r--r-- | contrib/libs/clapack/sgecon.c | 224 |
1 files changed, 224 insertions, 0 deletions
diff --git a/contrib/libs/clapack/sgecon.c b/contrib/libs/clapack/sgecon.c new file mode 100644 index 00000000000..83a66558ff0 --- /dev/null +++ b/contrib/libs/clapack/sgecon.c @@ -0,0 +1,224 @@ +/* sgecon.f -- translated by f2c (version 20061008). + 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 "f2c.h" +#include "blaswrap.h" + +/* Table of constant values */ + +static integer c__1 = 1; + +/* Subroutine */ int sgecon_(char *norm, integer *n, real *a, integer *lda, + real *anorm, real *rcond, real *work, integer *iwork, integer *info) +{ + /* System generated locals */ + integer a_dim1, a_offset, i__1; + real r__1; + + /* Local variables */ + real sl; + integer ix; + real su; + integer kase, kase1; + real scale; + extern logical lsame_(char *, char *); + integer isave[3]; + extern /* Subroutine */ int srscl_(integer *, real *, real *, integer *), + slacn2_(integer *, real *, real *, integer *, real *, integer *, + integer *); + extern doublereal slamch_(char *); + extern /* Subroutine */ int xerbla_(char *, integer *); + extern integer isamax_(integer *, real *, integer *); + real ainvnm; + logical onenrm; + char normin[1]; + extern /* Subroutine */ int slatrs_(char *, char *, char *, char *, + integer *, real *, integer *, real *, real *, real *, integer *); + real smlnum; + + +/* -- LAPACK routine (version 3.2) -- */ +/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ +/* November 2006 */ + +/* Modified to call SLACN2 in place of SLACON, 7 Feb 03, SJH. */ + +/* .. Scalar Arguments .. */ +/* .. */ +/* .. Array Arguments .. */ +/* .. */ + +/* Purpose */ +/* ======= */ + +/* SGECON estimates the reciprocal of the condition number of a general */ +/* real matrix A, in either the 1-norm or the infinity-norm, using */ +/* the LU factorization computed by SGETRF. */ + +/* An estimate is obtained for norm(inv(A)), and the reciprocal of the */ +/* condition number is computed as */ +/* RCOND = 1 / ( norm(A) * norm(inv(A)) ). */ + +/* Arguments */ +/* ========= */ + +/* NORM (input) CHARACTER*1 */ +/* Specifies whether the 1-norm condition number or the */ +/* infinity-norm condition number is required: */ +/* = '1' or 'O': 1-norm; */ +/* = 'I': Infinity-norm. */ + +/* N (input) INTEGER */ +/* The order of the matrix A. N >= 0. */ + +/* A (input) REAL array, dimension (LDA,N) */ +/* The factors L and U from the factorization A = P*L*U */ +/* as computed by SGETRF. */ + +/* LDA (input) INTEGER */ +/* The leading dimension of the array A. LDA >= max(1,N). */ + +/* ANORM (input) REAL */ +/* If NORM = '1' or 'O', the 1-norm of the original matrix A. */ +/* If NORM = 'I', the infinity-norm of the original matrix A. */ + +/* RCOND (output) REAL */ +/* The reciprocal of the condition number of the matrix A, */ +/* computed as RCOND = 1/(norm(A) * norm(inv(A))). */ + +/* WORK (workspace) REAL array, dimension (4*N) */ + +/* IWORK (workspace) INTEGER array, dimension (N) */ + +/* INFO (output) INTEGER */ +/* = 0: successful exit */ +/* < 0: if INFO = -i, the i-th argument had an illegal value */ + +/* ===================================================================== */ + +/* .. Parameters .. */ +/* .. */ +/* .. Local Scalars .. */ +/* .. */ +/* .. Local Arrays .. */ +/* .. */ +/* .. External Functions .. */ +/* .. */ +/* .. External Subroutines .. */ +/* .. */ +/* .. Intrinsic Functions .. */ +/* .. */ +/* .. Executable Statements .. */ + +/* Test the input parameters. */ + + /* Parameter adjustments */ + a_dim1 = *lda; + a_offset = 1 + a_dim1; + a -= a_offset; + --work; + --iwork; + + /* Function Body */ + *info = 0; + onenrm = *(unsigned char *)norm == '1' || lsame_(norm, "O"); + if (! onenrm && ! lsame_(norm, "I")) { + *info = -1; + } else if (*n < 0) { + *info = -2; + } else if (*lda < max(1,*n)) { + *info = -4; + } else if (*anorm < 0.f) { + *info = -5; + } + if (*info != 0) { + i__1 = -(*info); + xerbla_("SGECON", &i__1); + return 0; + } + +/* Quick return if possible */ + + *rcond = 0.f; + if (*n == 0) { + *rcond = 1.f; + return 0; + } else if (*anorm == 0.f) { + return 0; + } + + smlnum = slamch_("Safe minimum"); + +/* Estimate the norm of inv(A). */ + + ainvnm = 0.f; + *(unsigned char *)normin = 'N'; + if (onenrm) { + kase1 = 1; + } else { + kase1 = 2; + } + kase = 0; +L10: + slacn2_(n, &work[*n + 1], &work[1], &iwork[1], &ainvnm, &kase, isave); + if (kase != 0) { + if (kase == kase1) { + +/* Multiply by inv(L). */ + + slatrs_("Lower", "No transpose", "Unit", normin, n, &a[a_offset], + lda, &work[1], &sl, &work[(*n << 1) + 1], info); + +/* Multiply by inv(U). */ + + slatrs_("Upper", "No transpose", "Non-unit", normin, n, &a[ + a_offset], lda, &work[1], &su, &work[*n * 3 + 1], info); + } else { + +/* Multiply by inv(U'). */ + + slatrs_("Upper", "Transpose", "Non-unit", normin, n, &a[a_offset], + lda, &work[1], &su, &work[*n * 3 + 1], info); + +/* Multiply by inv(L'). */ + + slatrs_("Lower", "Transpose", "Unit", normin, n, &a[a_offset], + lda, &work[1], &sl, &work[(*n << 1) + 1], info); + } + +/* Divide X by 1/(SL*SU) if doing so will not cause overflow. */ + + scale = sl * su; + *(unsigned char *)normin = 'Y'; + if (scale != 1.f) { + ix = isamax_(n, &work[1], &c__1); + if (scale < (r__1 = work[ix], dabs(r__1)) * smlnum || scale == + 0.f) { + goto L20; + } + srscl_(n, &scale, &work[1], &c__1); + } + goto L10; + } + +/* Compute the estimate of the reciprocal condition number. */ + + if (ainvnm != 0.f) { + *rcond = 1.f / ainvnm / *anorm; + } + +L20: + return 0; + +/* End of SGECON */ + +} /* sgecon_ */ |