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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/cppcon.c | |
parent | 01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff) | |
download | ydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz |
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/cppcon.c')
-rw-r--r-- | contrib/libs/clapack/cppcon.c | 222 |
1 files changed, 222 insertions, 0 deletions
diff --git a/contrib/libs/clapack/cppcon.c b/contrib/libs/clapack/cppcon.c new file mode 100644 index 0000000000..656f100ef5 --- /dev/null +++ b/contrib/libs/clapack/cppcon.c @@ -0,0 +1,222 @@ +/* cppcon.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 cppcon_(char *uplo, integer *n, complex *ap, real *anorm, + real *rcond, complex *work, real *rwork, integer *info) +{ + /* System generated locals */ + integer i__1; + real r__1, r__2; + + /* Builtin functions */ + double r_imag(complex *); + + /* Local variables */ + integer ix, kase; + real scale; + extern logical lsame_(char *, char *); + integer isave[3]; + logical upper; + extern /* Subroutine */ int clacn2_(integer *, complex *, complex *, real + *, integer *, integer *); + extern integer icamax_(integer *, complex *, integer *); + real scalel; + extern doublereal slamch_(char *); + real scaleu; + extern /* Subroutine */ int xerbla_(char *, integer *), clatps_( + char *, char *, char *, char *, integer *, complex *, complex *, + real *, real *, integer *); + real ainvnm; + extern /* Subroutine */ int csrscl_(integer *, real *, complex *, integer + *); + char normin[1]; + real smlnum; + + +/* -- 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 */ +/* ======= */ + +/* CPPCON estimates the reciprocal of the condition number (in the */ +/* 1-norm) of a complex Hermitian positive definite packed matrix using */ +/* the Cholesky factorization A = U**H*U or A = L*L**H computed by */ +/* CPPTRF. */ + +/* 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 triangle of A is stored; */ +/* = 'L': Lower triangle of A is stored. */ + +/* N (input) INTEGER */ +/* The order of the matrix A. N >= 0. */ + +/* AP (input) COMPLEX array, dimension (N*(N+1)/2) */ +/* The triangular factor U or L from the Cholesky factorization */ +/* A = U**H*U or A = L*L**H, packed columnwise in a linear */ +/* array. The j-th column of U or L is stored in the array AP */ +/* as follows: */ +/* if UPLO = 'U', AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j; */ +/* if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n. */ + +/* ANORM (input) REAL */ +/* The 1-norm (or infinity-norm) of the Hermitian 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) */ + +/* 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 */ + --rwork; + --work; + --ap; + + /* Function Body */ + *info = 0; + upper = lsame_(uplo, "U"); + if (! upper && ! lsame_(uplo, "L")) { + *info = -1; + } else if (*n < 0) { + *info = -2; + } else if (*anorm < 0.f) { + *info = -4; + } + if (*info != 0) { + i__1 = -(*info); + xerbla_("CPPCON", &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 1-norm of the inverse. */ + + kase = 0; + *(unsigned char *)normin = 'N'; +L10: + clacn2_(n, &work[*n + 1], &work[1], &ainvnm, &kase, isave); + if (kase != 0) { + if (upper) { + +/* Multiply by inv(U'). */ + + clatps_("Upper", "Conjugate transpose", "Non-unit", normin, n, & + ap[1], &work[1], &scalel, &rwork[1], info); + *(unsigned char *)normin = 'Y'; + +/* Multiply by inv(U). */ + + clatps_("Upper", "No transpose", "Non-unit", normin, n, &ap[1], & + work[1], &scaleu, &rwork[1], info); + } else { + +/* Multiply by inv(L). */ + + clatps_("Lower", "No transpose", "Non-unit", normin, n, &ap[1], & + work[1], &scalel, &rwork[1], info); + *(unsigned char *)normin = 'Y'; + +/* Multiply by inv(L'). */ + + clatps_("Lower", "Conjugate transpose", "Non-unit", normin, n, & + ap[1], &work[1], &scaleu, &rwork[1], info); + } + +/* Multiply by 1/SCALE if doing so will not cause overflow. */ + + scale = scalel * scaleu; + if (scale != 1.f) { + ix = icamax_(n, &work[1], &c__1); + i__1 = ix; + if (scale < ((r__1 = work[i__1].r, dabs(r__1)) + (r__2 = r_imag(& + work[ix]), dabs(r__2))) * 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 / ainvnm / *anorm; + } + +L20: + return 0; + +/* End of CPPCON */ + +} /* cppcon_ */ |