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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/ctrcon.c | |
parent | 01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff) | |
download | ydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz |
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/ctrcon.c')
-rw-r--r-- | contrib/libs/clapack/ctrcon.c | 249 |
1 files changed, 249 insertions, 0 deletions
diff --git a/contrib/libs/clapack/ctrcon.c b/contrib/libs/clapack/ctrcon.c new file mode 100644 index 0000000000..05831a70f1 --- /dev/null +++ b/contrib/libs/clapack/ctrcon.c @@ -0,0 +1,249 @@ +/* ctrcon.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 ctrcon_(char *norm, char *uplo, char *diag, integer *n, + complex *a, integer *lda, real *rcond, complex *work, real *rwork, + integer *info) +{ + /* System generated locals */ + integer a_dim1, a_offset, i__1; + real r__1, r__2; + + /* Builtin functions */ + double r_imag(complex *); + + /* Local variables */ + integer ix, kase, kase1; + real scale; + extern logical lsame_(char *, char *); + integer isave[3]; + real anorm; + logical upper; + extern /* Subroutine */ int clacn2_(integer *, complex *, complex *, real + *, integer *, integer *); + real xnorm; + extern integer icamax_(integer *, complex *, integer *); + extern doublereal slamch_(char *); + extern /* Subroutine */ int xerbla_(char *, integer *); + extern doublereal clantr_(char *, char *, char *, integer *, integer *, + complex *, integer *, real *); + real ainvnm; + extern /* Subroutine */ int clatrs_(char *, char *, char *, char *, + integer *, complex *, integer *, complex *, real *, real *, + integer *), csrscl_(integer *, + real *, complex *, integer *); + logical onenrm; + char normin[1]; + real smlnum; + logical nounit; + + +/* -- LAPACK routine (version 3.2) -- */ +/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ +/* November 2006 */ + +/* Modified to call CLACN2 in place of CLACON, 10 Feb 03, SJH. */ + +/* .. Scalar Arguments .. */ +/* .. */ +/* .. Array Arguments .. */ +/* .. */ + +/* Purpose */ +/* ======= */ + +/* CTRCON estimates the reciprocal of the condition number of a */ +/* triangular matrix A, in either the 1-norm or the infinity-norm. */ + +/* The norm of A is computed and an estimate is obtained for */ +/* norm(inv(A)), then 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. */ + +/* UPLO (input) CHARACTER*1 */ +/* = 'U': A is upper triangular; */ +/* = 'L': A is lower triangular. */ + +/* DIAG (input) CHARACTER*1 */ +/* = 'N': A is non-unit triangular; */ +/* = 'U': A is unit triangular. */ + +/* N (input) INTEGER */ +/* The order of the matrix A. N >= 0. */ + +/* A (input) COMPLEX array, dimension (LDA,N) */ +/* The triangular matrix A. If UPLO = 'U', the leading N-by-N */ +/* upper triangular part of the array A contains the upper */ +/* triangular matrix, and the strictly lower triangular part of */ +/* A is not referenced. If UPLO = 'L', the leading N-by-N lower */ +/* triangular part of the array A contains the lower triangular */ +/* matrix, and the strictly upper triangular part of A is not */ +/* referenced. If DIAG = 'U', the diagonal elements of A are */ +/* also not referenced and are assumed to be 1. */ + +/* LDA (input) INTEGER */ +/* The leading dimension of the array A. LDA >= max(1,N). */ + +/* RCOND (output) REAL */ +/* The reciprocal of the condition number of the matrix A, */ +/* computed as RCOND = 1/(norm(A) * norm(inv(A))). */ + +/* WORK (workspace) COMPLEX array, dimension (2*N) */ + +/* RWORK (workspace) REAL 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 .. */ +/* .. */ +/* .. Statement Functions .. */ +/* .. */ +/* .. Statement Function definitions .. */ +/* .. */ +/* .. Executable Statements .. */ + +/* Test the input parameters. */ + + /* Parameter adjustments */ + a_dim1 = *lda; + a_offset = 1 + a_dim1; + a -= a_offset; + --work; + --rwork; + + /* Function Body */ + *info = 0; + upper = lsame_(uplo, "U"); + onenrm = *(unsigned char *)norm == '1' || lsame_(norm, "O"); + nounit = lsame_(diag, "N"); + + if (! onenrm && ! lsame_(norm, "I")) { + *info = -1; + } else if (! upper && ! lsame_(uplo, "L")) { + *info = -2; + } else if (! nounit && ! lsame_(diag, "U")) { + *info = -3; + } else if (*n < 0) { + *info = -4; + } else if (*lda < max(1,*n)) { + *info = -6; + } + if (*info != 0) { + i__1 = -(*info); + xerbla_("CTRCON", &i__1); + return 0; + } + +/* Quick return if possible */ + + if (*n == 0) { + *rcond = 1.f; + return 0; + } + + *rcond = 0.f; + smlnum = slamch_("Safe minimum") * (real) max(1,*n); + +/* Compute the norm of the triangular matrix A. */ + + anorm = clantr_(norm, uplo, diag, n, n, &a[a_offset], lda, &rwork[1]); + +/* Continue only if ANORM > 0. */ + + if (anorm > 0.f) { + +/* Estimate the norm of the inverse of A. */ + + ainvnm = 0.f; + *(unsigned char *)normin = 'N'; + if (onenrm) { + kase1 = 1; + } else { + kase1 = 2; + } + kase = 0; +L10: + clacn2_(n, &work[*n + 1], &work[1], &ainvnm, &kase, isave); + if (kase != 0) { + if (kase == kase1) { + +/* Multiply by inv(A). */ + + clatrs_(uplo, "No transpose", diag, normin, n, &a[a_offset], + lda, &work[1], &scale, &rwork[1], info); + } else { + +/* Multiply by inv(A'). */ + + clatrs_(uplo, "Conjugate transpose", diag, normin, n, &a[ + a_offset], lda, &work[1], &scale, &rwork[1], info); + } + *(unsigned char *)normin = 'Y'; + +/* Multiply by 1/SCALE if doing so will not cause overflow. */ + + if (scale != 1.f) { + ix = icamax_(n, &work[1], &c__1); + i__1 = ix; + xnorm = (r__1 = work[i__1].r, dabs(r__1)) + (r__2 = r_imag(& + work[ix]), dabs(r__2)); + if (scale < xnorm * smlnum || scale == 0.f) { + goto L20; + } + csrscl_(n, &scale, &work[1], &c__1); + } + goto L10; + } + +/* Compute the estimate of the reciprocal condition number. */ + + if (ainvnm != 0.f) { + *rcond = 1.f / anorm / ainvnm; + } + } + +L20: + return 0; + +/* End of CTRCON */ + +} /* ctrcon_ */ |