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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/cgtcon.c | |
parent | 01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff) | |
download | ydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz |
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/cgtcon.c')
-rw-r--r-- | contrib/libs/clapack/cgtcon.c | 207 |
1 files changed, 207 insertions, 0 deletions
diff --git a/contrib/libs/clapack/cgtcon.c b/contrib/libs/clapack/cgtcon.c new file mode 100644 index 0000000000..462a36a57c --- /dev/null +++ b/contrib/libs/clapack/cgtcon.c @@ -0,0 +1,207 @@ +/* cgtcon.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 cgtcon_(char *norm, integer *n, complex *dl, complex * + d__, complex *du, complex *du2, integer *ipiv, real *anorm, real * + rcond, complex *work, integer *info) +{ + /* System generated locals */ + integer i__1, i__2; + + /* Local variables */ + integer i__, kase, kase1; + extern logical lsame_(char *, char *); + integer isave[3]; + extern /* Subroutine */ int clacn2_(integer *, complex *, complex *, real + *, integer *, integer *), xerbla_(char *, integer *); + real ainvnm; + logical onenrm; + extern /* Subroutine */ int cgttrs_(char *, integer *, integer *, complex + *, complex *, complex *, complex *, integer *, complex *, integer + *, integer *); + + +/* -- 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 */ +/* ======= */ + +/* CGTCON estimates the reciprocal of the condition number of a complex */ +/* tridiagonal matrix A using the LU factorization as computed by */ +/* CGTTRF. */ + +/* 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 */ +/* ========= */ + +/* 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. */ + +/* DL (input) COMPLEX array, dimension (N-1) */ +/* The (n-1) multipliers that define the matrix L from the */ +/* LU factorization of A as computed by CGTTRF. */ + +/* D (input) COMPLEX array, dimension (N) */ +/* The n diagonal elements of the upper triangular matrix U from */ +/* the LU factorization of A. */ + +/* DU (input) COMPLEX array, dimension (N-1) */ +/* The (n-1) elements of the first superdiagonal of U. */ + +/* DU2 (input) COMPLEX array, dimension (N-2) */ +/* The (n-2) elements of the second superdiagonal of U. */ + +/* IPIV (input) INTEGER array, dimension (N) */ +/* The pivot indices; for 1 <= i <= n, row i of the matrix was */ +/* interchanged with row IPIV(i). IPIV(i) will always be either */ +/* i or i+1; IPIV(i) = i indicates a row interchange was not */ +/* required. */ + +/* 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/(ANORM * AINVNM), where AINVNM is an */ +/* estimate of the 1-norm of inv(A) computed in this routine. */ + +/* WORK (workspace) COMPLEX 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 arguments. */ + + /* Parameter adjustments */ + --work; + --ipiv; + --du2; + --du; + --d__; + --dl; + + /* 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 (*anorm < 0.f) { + *info = -8; + } + if (*info != 0) { + i__1 = -(*info); + xerbla_("CGTCON", &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; + } + +/* Check that D(1:N) is non-zero. */ + + i__1 = *n; + for (i__ = 1; i__ <= i__1; ++i__) { + i__2 = i__; + if (d__[i__2].r == 0.f && d__[i__2].i == 0.f) { + return 0; + } +/* L10: */ + } + + ainvnm = 0.f; + if (onenrm) { + kase1 = 1; + } else { + kase1 = 2; + } + kase = 0; +L20: + clacn2_(n, &work[*n + 1], &work[1], &ainvnm, &kase, isave); + if (kase != 0) { + if (kase == kase1) { + +/* Multiply by inv(U)*inv(L). */ + + cgttrs_("No transpose", n, &c__1, &dl[1], &d__[1], &du[1], &du2[1] +, &ipiv[1], &work[1], n, info); + } else { + +/* Multiply by inv(L')*inv(U'). */ + + cgttrs_("Conjugate transpose", n, &c__1, &dl[1], &d__[1], &du[1], + &du2[1], &ipiv[1], &work[1], n, info); + } + goto L20; + } + +/* Compute the estimate of the reciprocal condition number. */ + + if (ainvnm != 0.f) { + *rcond = 1.f / ainvnm / *anorm; + } + + return 0; + +/* End of CGTCON */ + +} /* cgtcon_ */ |