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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/zhecon.c | |
parent | 01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff) | |
download | ydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz |
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/zhecon.c')
-rw-r--r-- | contrib/libs/clapack/zhecon.c | 203 |
1 files changed, 203 insertions, 0 deletions
diff --git a/contrib/libs/clapack/zhecon.c b/contrib/libs/clapack/zhecon.c new file mode 100644 index 0000000000..869cdc034b --- /dev/null +++ b/contrib/libs/clapack/zhecon.c @@ -0,0 +1,203 @@ +/* zhecon.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 zhecon_(char *uplo, integer *n, doublecomplex *a, + integer *lda, integer *ipiv, doublereal *anorm, doublereal *rcond, + doublecomplex *work, integer *info) +{ + /* System generated locals */ + integer a_dim1, a_offset, i__1, i__2; + + /* Local variables */ + integer i__, kase; + extern logical lsame_(char *, char *); + integer isave[3]; + logical upper; + extern /* Subroutine */ int zlacn2_(integer *, doublecomplex *, + doublecomplex *, doublereal *, integer *, integer *), xerbla_( + char *, integer *); + doublereal ainvnm; + extern /* Subroutine */ int zhetrs_(char *, integer *, integer *, + doublecomplex *, integer *, integer *, doublecomplex *, integer *, + integer *); + + +/* -- LAPACK routine (version 3.2) -- */ +/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ +/* November 2006 */ + +/* Modified to call ZLACN2 in place of ZLACON, 10 Feb 03, SJH. */ + +/* .. Scalar Arguments .. */ +/* .. */ +/* .. Array Arguments .. */ +/* .. */ + +/* Purpose */ +/* ======= */ + +/* ZHECON estimates the reciprocal of the condition number of a complex */ +/* Hermitian matrix A using the factorization A = U*D*U**H or */ +/* A = L*D*L**H computed by ZHETRF. */ + +/* An estimate is obtained for norm(inv(A)), and the reciprocal of the */ +/* condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))). */ + +/* Arguments */ +/* ========= */ + +/* UPLO (input) CHARACTER*1 */ +/* Specifies whether the details of the factorization are stored */ +/* as an upper or lower triangular matrix. */ +/* = 'U': Upper triangular, form is A = U*D*U**H; */ +/* = 'L': Lower triangular, form is A = L*D*L**H. */ + +/* N (input) INTEGER */ +/* The order of the matrix A. N >= 0. */ + +/* A (input) COMPLEX*16 array, dimension (LDA,N) */ +/* The block diagonal matrix D and the multipliers used to */ +/* obtain the factor U or L as computed by ZHETRF. */ + +/* LDA (input) INTEGER */ +/* The leading dimension of the array A. LDA >= max(1,N). */ + +/* IPIV (input) INTEGER array, dimension (N) */ +/* Details of the interchanges and the block structure of D */ +/* as determined by ZHETRF. */ + +/* ANORM (input) DOUBLE PRECISION */ +/* The 1-norm of the original matrix A. */ + +/* RCOND (output) DOUBLE PRECISION */ +/* The reciprocal of the condition number of the matrix A, */ +/* computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an */ +/* estimate of the 1-norm of inv(A) computed in this routine. */ + +/* WORK (workspace) COMPLEX*16 array, dimension (2*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; + --ipiv; + --work; + + /* Function Body */ + *info = 0; + upper = lsame_(uplo, "U"); + if (! upper && ! lsame_(uplo, "L")) { + *info = -1; + } else if (*n < 0) { + *info = -2; + } else if (*lda < max(1,*n)) { + *info = -4; + } else if (*anorm < 0.) { + *info = -6; + } + if (*info != 0) { + i__1 = -(*info); + xerbla_("ZHECON", &i__1); + return 0; + } + +/* Quick return if possible */ + + *rcond = 0.; + if (*n == 0) { + *rcond = 1.; + return 0; + } else if (*anorm <= 0.) { + return 0; + } + +/* Check that the diagonal matrix D is nonsingular. */ + + if (upper) { + +/* Upper triangular storage: examine D from bottom to top */ + + for (i__ = *n; i__ >= 1; --i__) { + i__1 = i__ + i__ * a_dim1; + if (ipiv[i__] > 0 && (a[i__1].r == 0. && a[i__1].i == 0.)) { + return 0; + } +/* L10: */ + } + } else { + +/* Lower triangular storage: examine D from top to bottom. */ + + i__1 = *n; + for (i__ = 1; i__ <= i__1; ++i__) { + i__2 = i__ + i__ * a_dim1; + if (ipiv[i__] > 0 && (a[i__2].r == 0. && a[i__2].i == 0.)) { + return 0; + } +/* L20: */ + } + } + +/* Estimate the 1-norm of the inverse. */ + + kase = 0; +L30: + zlacn2_(n, &work[*n + 1], &work[1], &ainvnm, &kase, isave); + if (kase != 0) { + +/* Multiply by inv(L*D*L') or inv(U*D*U'). */ + + zhetrs_(uplo, n, &c__1, &a[a_offset], lda, &ipiv[1], &work[1], n, + info); + goto L30; + } + +/* Compute the estimate of the reciprocal condition number. */ + + if (ainvnm != 0.) { + *rcond = 1. / ainvnm / *anorm; + } + + return 0; + +/* End of ZHECON */ + +} /* zhecon_ */ |