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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/zpbcon.c | |
parent | 01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff) | |
download | ydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz |
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/zpbcon.c')
-rw-r--r-- | contrib/libs/clapack/zpbcon.c | 236 |
1 files changed, 236 insertions, 0 deletions
diff --git a/contrib/libs/clapack/zpbcon.c b/contrib/libs/clapack/zpbcon.c new file mode 100644 index 00000000000..bbfa6dfa072 --- /dev/null +++ b/contrib/libs/clapack/zpbcon.c @@ -0,0 +1,236 @@ +/* zpbcon.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 zpbcon_(char *uplo, integer *n, integer *kd, + doublecomplex *ab, integer *ldab, doublereal *anorm, doublereal * + rcond, doublecomplex *work, doublereal *rwork, integer *info) +{ + /* System generated locals */ + integer ab_dim1, ab_offset, i__1; + doublereal d__1, d__2; + + /* Builtin functions */ + double d_imag(doublecomplex *); + + /* Local variables */ + integer ix, kase; + doublereal scale; + extern logical lsame_(char *, char *); + integer isave[3]; + logical upper; + extern /* Subroutine */ int zlacn2_(integer *, doublecomplex *, + doublecomplex *, doublereal *, integer *, integer *); + extern doublereal dlamch_(char *); + doublereal scalel, scaleu; + extern /* Subroutine */ int xerbla_(char *, integer *); + doublereal ainvnm; + extern integer izamax_(integer *, doublecomplex *, integer *); + extern /* Subroutine */ int zlatbs_(char *, char *, char *, char *, + integer *, integer *, doublecomplex *, integer *, doublecomplex *, + doublereal *, doublereal *, integer *), zdrscl_(integer *, doublereal *, doublecomplex *, + integer *); + char normin[1]; + doublereal smlnum; + + +/* -- 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 */ +/* ======= */ + +/* ZPBCON estimates the reciprocal of the condition number (in the */ +/* 1-norm) of a complex Hermitian positive definite band matrix using */ +/* the Cholesky factorization A = U**H*U or A = L*L**H computed by */ +/* ZPBTRF. */ + +/* 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 */ +/* = 'U': Upper triangular factor stored in AB; */ +/* = 'L': Lower triangular factor stored in AB. */ + +/* N (input) INTEGER */ +/* The order of the matrix A. N >= 0. */ + +/* KD (input) INTEGER */ +/* The number of superdiagonals of the matrix A if UPLO = 'U', */ +/* or the number of sub-diagonals if UPLO = 'L'. KD >= 0. */ + +/* AB (input) COMPLEX*16 array, dimension (LDAB,N) */ +/* The triangular factor U or L from the Cholesky factorization */ +/* A = U**H*U or A = L*L**H of the band matrix A, stored in the */ +/* first KD+1 rows of the array. The j-th column of U or L is */ +/* stored in the j-th column of the array AB as follows: */ +/* if UPLO ='U', AB(kd+1+i-j,j) = U(i,j) for max(1,j-kd)<=i<=j; */ +/* if UPLO ='L', AB(1+i-j,j) = L(i,j) for j<=i<=min(n,j+kd). */ + +/* LDAB (input) INTEGER */ +/* The leading dimension of the array AB. LDAB >= KD+1. */ + +/* ANORM (input) DOUBLE PRECISION */ +/* The 1-norm (or infinity-norm) of the Hermitian band 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) */ + +/* RWORK (workspace) DOUBLE PRECISION 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 */ + ab_dim1 = *ldab; + ab_offset = 1 + ab_dim1; + ab -= ab_offset; + --work; + --rwork; + + /* Function Body */ + *info = 0; + upper = lsame_(uplo, "U"); + if (! upper && ! lsame_(uplo, "L")) { + *info = -1; + } else if (*n < 0) { + *info = -2; + } else if (*kd < 0) { + *info = -3; + } else if (*ldab < *kd + 1) { + *info = -5; + } else if (*anorm < 0.) { + *info = -6; + } + if (*info != 0) { + i__1 = -(*info); + xerbla_("ZPBCON", &i__1); + return 0; + } + +/* Quick return if possible */ + + *rcond = 0.; + if (*n == 0) { + *rcond = 1.; + return 0; + } else if (*anorm == 0.) { + return 0; + } + + smlnum = dlamch_("Safe minimum"); + +/* Estimate the 1-norm of the inverse. */ + + kase = 0; + *(unsigned char *)normin = 'N'; +L10: + zlacn2_(n, &work[*n + 1], &work[1], &ainvnm, &kase, isave); + if (kase != 0) { + if (upper) { + +/* Multiply by inv(U'). */ + + zlatbs_("Upper", "Conjugate transpose", "Non-unit", normin, n, kd, + &ab[ab_offset], ldab, &work[1], &scalel, &rwork[1], info); + *(unsigned char *)normin = 'Y'; + +/* Multiply by inv(U). */ + + zlatbs_("Upper", "No transpose", "Non-unit", normin, n, kd, &ab[ + ab_offset], ldab, &work[1], &scaleu, &rwork[1], info); + } else { + +/* Multiply by inv(L). */ + + zlatbs_("Lower", "No transpose", "Non-unit", normin, n, kd, &ab[ + ab_offset], ldab, &work[1], &scalel, &rwork[1], info); + *(unsigned char *)normin = 'Y'; + +/* Multiply by inv(L'). */ + + zlatbs_("Lower", "Conjugate transpose", "Non-unit", normin, n, kd, + &ab[ab_offset], ldab, &work[1], &scaleu, &rwork[1], info); + } + +/* Multiply by 1/SCALE if doing so will not cause overflow. */ + + scale = scalel * scaleu; + if (scale != 1.) { + ix = izamax_(n, &work[1], &c__1); + i__1 = ix; + if (scale < ((d__1 = work[i__1].r, abs(d__1)) + (d__2 = d_imag(& + work[ix]), abs(d__2))) * smlnum || scale == 0.) { + goto L20; + } + zdrscl_(n, &scale, &work[1], &c__1); + } + goto L10; + } + +/* Compute the estimate of the reciprocal condition number. */ + + if (ainvnm != 0.) { + *rcond = 1. / ainvnm / *anorm; + } + +L20: + + return 0; + +/* End of ZPBCON */ + +} /* zpbcon_ */ |