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authorshmel1k <shmel1k@ydb.tech>2022-09-02 12:44:59 +0300
committershmel1k <shmel1k@ydb.tech>2022-09-02 12:44:59 +0300
commit90d450f74722da7859d6f510a869f6c6908fd12f (patch)
tree538c718dedc76cdfe37ad6d01ff250dd930d9278 /contrib/libs/clapack/zspsv.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
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1 files changed, 177 insertions, 0 deletions
diff --git a/contrib/libs/clapack/zspsv.c b/contrib/libs/clapack/zspsv.c
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+/* zspsv.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"
+
+/* Subroutine */ int zspsv_(char *uplo, integer *n, integer *nrhs,
+ doublecomplex *ap, integer *ipiv, doublecomplex *b, integer *ldb,
+ integer *info)
+{
+ /* System generated locals */
+ integer b_dim1, b_offset, i__1;
+
+ /* Local variables */
+ extern logical lsame_(char *, char *);
+ extern /* Subroutine */ int xerbla_(char *, integer *), zsptrf_(
+ char *, integer *, doublecomplex *, integer *, integer *),
+ zsptrs_(char *, integer *, integer *, doublecomplex *, integer *,
+ doublecomplex *, integer *, integer *);
+
+
+/* -- LAPACK driver routine (version 3.2) -- */
+/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/* November 2006 */
+
+/* .. Scalar Arguments .. */
+/* .. */
+/* .. Array Arguments .. */
+/* .. */
+
+/* Purpose */
+/* ======= */
+
+/* ZSPSV computes the solution to a complex system of linear equations */
+/* A * X = B, */
+/* where A is an N-by-N symmetric matrix stored in packed format and X */
+/* and B are N-by-NRHS matrices. */
+
+/* The diagonal pivoting method is used to factor A as */
+/* A = U * D * U**T, if UPLO = 'U', or */
+/* A = L * D * L**T, if UPLO = 'L', */
+/* where U (or L) is a product of permutation and unit upper (lower) */
+/* triangular matrices, D is symmetric and block diagonal with 1-by-1 */
+/* and 2-by-2 diagonal blocks. The factored form of A is then used to */
+/* solve the system of equations A * X = B. */
+
+/* Arguments */
+/* ========= */
+
+/* UPLO (input) CHARACTER*1 */
+/* = 'U': Upper triangle of A is stored; */
+/* = 'L': Lower triangle of A is stored. */
+
+/* N (input) INTEGER */
+/* The number of linear equations, i.e., the order of the */
+/* matrix A. N >= 0. */
+
+/* NRHS (input) INTEGER */
+/* The number of right hand sides, i.e., the number of columns */
+/* of the matrix B. NRHS >= 0. */
+
+/* AP (input/output) COMPLEX*16 array, dimension (N*(N+1)/2) */
+/* On entry, the upper or lower triangle of the symmetric matrix */
+/* A, packed columnwise in a linear array. The j-th column of A */
+/* is stored in the array AP as follows: */
+/* if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j; */
+/* if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n. */
+/* See below for further details. */
+
+/* On exit, the block diagonal matrix D and the multipliers used */
+/* to obtain the factor U or L from the factorization */
+/* A = U*D*U**T or A = L*D*L**T as computed by ZSPTRF, stored as */
+/* a packed triangular matrix in the same storage format as A. */
+
+/* IPIV (output) INTEGER array, dimension (N) */
+/* Details of the interchanges and the block structure of D, as */
+/* determined by ZSPTRF. If IPIV(k) > 0, then rows and columns */
+/* k and IPIV(k) were interchanged, and D(k,k) is a 1-by-1 */
+/* diagonal block. If UPLO = 'U' and IPIV(k) = IPIV(k-1) < 0, */
+/* then rows and columns k-1 and -IPIV(k) were interchanged and */
+/* D(k-1:k,k-1:k) is a 2-by-2 diagonal block. If UPLO = 'L' and */
+/* IPIV(k) = IPIV(k+1) < 0, then rows and columns k+1 and */
+/* -IPIV(k) were interchanged and D(k:k+1,k:k+1) is a 2-by-2 */
+/* diagonal block. */
+
+/* B (input/output) COMPLEX*16 array, dimension (LDB,NRHS) */
+/* On entry, the N-by-NRHS right hand side matrix B. */
+/* On exit, if INFO = 0, the N-by-NRHS solution matrix X. */
+
+/* LDB (input) INTEGER */
+/* The leading dimension of the array B. LDB >= max(1,N). */
+
+/* INFO (output) INTEGER */
+/* = 0: successful exit */
+/* < 0: if INFO = -i, the i-th argument had an illegal value */
+/* > 0: if INFO = i, D(i,i) is exactly zero. The factorization */
+/* has been completed, but the block diagonal matrix D is */
+/* exactly singular, so the solution could not be */
+/* computed. */
+
+/* Further Details */
+/* =============== */
+
+/* The packed storage scheme is illustrated by the following example */
+/* when N = 4, UPLO = 'U': */
+
+/* Two-dimensional storage of the symmetric matrix A: */
+
+/* a11 a12 a13 a14 */
+/* a22 a23 a24 */
+/* a33 a34 (aij = aji) */
+/* a44 */
+
+/* Packed storage of the upper triangle of A: */
+
+/* AP = [ a11, a12, a22, a13, a23, a33, a14, a24, a34, a44 ] */
+
+/* ===================================================================== */
+
+/* .. External Functions .. */
+/* .. */
+/* .. External Subroutines .. */
+/* .. */
+/* .. Intrinsic Functions .. */
+/* .. */
+/* .. Executable Statements .. */
+
+/* Test the input parameters. */
+
+ /* Parameter adjustments */
+ --ap;
+ --ipiv;
+ b_dim1 = *ldb;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Function Body */
+ *info = 0;
+ if (! lsame_(uplo, "U") && ! lsame_(uplo, "L")) {
+ *info = -1;
+ } else if (*n < 0) {
+ *info = -2;
+ } else if (*nrhs < 0) {
+ *info = -3;
+ } else if (*ldb < max(1,*n)) {
+ *info = -7;
+ }
+ if (*info != 0) {
+ i__1 = -(*info);
+ xerbla_("ZSPSV ", &i__1);
+ return 0;
+ }
+
+/* Compute the factorization A = U*D*U' or A = L*D*L'. */
+
+ zsptrf_(uplo, n, &ap[1], &ipiv[1], info);
+ if (*info == 0) {
+
+/* Solve the system A*X = B, overwriting B with X. */
+
+ zsptrs_(uplo, n, nrhs, &ap[1], &ipiv[1], &b[b_offset], ldb, info);
+
+ }
+ return 0;
+
+/* End of ZSPSV */
+
+} /* zspsv_ */