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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/ssygst.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/ssygst.c')
-rw-r--r--contrib/libs/clapack/ssygst.c342
1 files changed, 342 insertions, 0 deletions
diff --git a/contrib/libs/clapack/ssygst.c b/contrib/libs/clapack/ssygst.c
new file mode 100644
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+++ b/contrib/libs/clapack/ssygst.c
@@ -0,0 +1,342 @@
+/* ssygst.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;
+static integer c_n1 = -1;
+static real c_b14 = 1.f;
+static real c_b16 = -.5f;
+static real c_b19 = -1.f;
+static real c_b52 = .5f;
+
+/* Subroutine */ int ssygst_(integer *itype, char *uplo, integer *n, real *a,
+ integer *lda, real *b, integer *ldb, integer *info)
+{
+ /* System generated locals */
+ integer a_dim1, a_offset, b_dim1, b_offset, i__1, i__2, i__3;
+
+ /* Local variables */
+ integer k, kb, nb;
+ extern logical lsame_(char *, char *);
+ logical upper;
+ extern /* Subroutine */ int strmm_(char *, char *, char *, char *,
+ integer *, integer *, real *, real *, integer *, real *, integer *
+), ssymm_(char *, char *, integer
+ *, integer *, real *, real *, integer *, real *, integer *, real *
+, real *, integer *), strsm_(char *, char *, char
+ *, char *, integer *, integer *, real *, real *, integer *, real *
+, integer *), ssygs2_(integer *,
+ char *, integer *, real *, integer *, real *, integer *, integer *
+), ssyr2k_(char *, char *, integer *, integer *, real *,
+ real *, integer *, real *, integer *, real *, real *, integer *), xerbla_(char *, integer *);
+ extern integer ilaenv_(integer *, char *, char *, integer *, integer *,
+ integer *, integer *);
+
+
+/* -- LAPACK routine (version 3.2) -- */
+/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/* November 2006 */
+
+/* .. Scalar Arguments .. */
+/* .. */
+/* .. Array Arguments .. */
+/* .. */
+
+/* Purpose */
+/* ======= */
+
+/* SSYGST reduces a real symmetric-definite generalized eigenproblem */
+/* to standard form. */
+
+/* If ITYPE = 1, the problem is A*x = lambda*B*x, */
+/* and A is overwritten by inv(U**T)*A*inv(U) or inv(L)*A*inv(L**T) */
+
+/* If ITYPE = 2 or 3, the problem is A*B*x = lambda*x or */
+/* B*A*x = lambda*x, and A is overwritten by U*A*U**T or L**T*A*L. */
+
+/* B must have been previously factorized as U**T*U or L*L**T by SPOTRF. */
+
+/* Arguments */
+/* ========= */
+
+/* ITYPE (input) INTEGER */
+/* = 1: compute inv(U**T)*A*inv(U) or inv(L)*A*inv(L**T); */
+/* = 2 or 3: compute U*A*U**T or L**T*A*L. */
+
+/* UPLO (input) CHARACTER*1 */
+/* = 'U': Upper triangle of A is stored and B is factored as */
+/* U**T*U; */
+/* = 'L': Lower triangle of A is stored and B is factored as */
+/* L*L**T. */
+
+/* N (input) INTEGER */
+/* The order of the matrices A and B. N >= 0. */
+
+/* A (input/output) REAL array, dimension (LDA,N) */
+/* On entry, the symmetric matrix A. If UPLO = 'U', the leading */
+/* N-by-N upper triangular part of A contains the upper */
+/* triangular part of the matrix A, and the strictly lower */
+/* triangular part of A is not referenced. If UPLO = 'L', the */
+/* leading N-by-N lower triangular part of A contains the lower */
+/* triangular part of the matrix A, and the strictly upper */
+/* triangular part of A is not referenced. */
+
+/* On exit, if INFO = 0, the transformed matrix, stored in the */
+/* same format as A. */
+
+/* LDA (input) INTEGER */
+/* The leading dimension of the array A. LDA >= max(1,N). */
+
+/* B (input) REAL array, dimension (LDB,N) */
+/* The triangular factor from the Cholesky factorization of B, */
+/* as returned by SPOTRF. */
+
+/* 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 */
+
+/* ===================================================================== */
+
+/* .. Parameters .. */
+/* .. */
+/* .. Local Scalars .. */
+/* .. */
+/* .. External Subroutines .. */
+/* .. */
+/* .. Intrinsic Functions .. */
+/* .. */
+/* .. External Functions .. */
+/* .. */
+/* .. Executable Statements .. */
+
+/* Test the input parameters. */
+
+ /* Parameter adjustments */
+ a_dim1 = *lda;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = *ldb;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Function Body */
+ *info = 0;
+ upper = lsame_(uplo, "U");
+ if (*itype < 1 || *itype > 3) {
+ *info = -1;
+ } else if (! upper && ! lsame_(uplo, "L")) {
+ *info = -2;
+ } else if (*n < 0) {
+ *info = -3;
+ } else if (*lda < max(1,*n)) {
+ *info = -5;
+ } else if (*ldb < max(1,*n)) {
+ *info = -7;
+ }
+ if (*info != 0) {
+ i__1 = -(*info);
+ xerbla_("SSYGST", &i__1);
+ return 0;
+ }
+
+/* Quick return if possible */
+
+ if (*n == 0) {
+ return 0;
+ }
+
+/* Determine the block size for this environment. */
+
+ nb = ilaenv_(&c__1, "SSYGST", uplo, n, &c_n1, &c_n1, &c_n1);
+
+ if (nb <= 1 || nb >= *n) {
+
+/* Use unblocked code */
+
+ ssygs2_(itype, uplo, n, &a[a_offset], lda, &b[b_offset], ldb, info);
+ } else {
+
+/* Use blocked code */
+
+ if (*itype == 1) {
+ if (upper) {
+
+/* Compute inv(U')*A*inv(U) */
+
+ i__1 = *n;
+ i__2 = nb;
+ for (k = 1; i__2 < 0 ? k >= i__1 : k <= i__1; k += i__2) {
+/* Computing MIN */
+ i__3 = *n - k + 1;
+ kb = min(i__3,nb);
+
+/* Update the upper triangle of A(k:n,k:n) */
+
+ ssygs2_(itype, uplo, &kb, &a[k + k * a_dim1], lda, &b[k +
+ k * b_dim1], ldb, info);
+ if (k + kb <= *n) {
+ i__3 = *n - k - kb + 1;
+ strsm_("Left", uplo, "Transpose", "Non-unit", &kb, &
+ i__3, &c_b14, &b[k + k * b_dim1], ldb, &a[k +
+ (k + kb) * a_dim1], lda);
+ i__3 = *n - k - kb + 1;
+ ssymm_("Left", uplo, &kb, &i__3, &c_b16, &a[k + k *
+ a_dim1], lda, &b[k + (k + kb) * b_dim1], ldb,
+ &c_b14, &a[k + (k + kb) * a_dim1], lda);
+ i__3 = *n - k - kb + 1;
+ ssyr2k_(uplo, "Transpose", &i__3, &kb, &c_b19, &a[k +
+ (k + kb) * a_dim1], lda, &b[k + (k + kb) *
+ b_dim1], ldb, &c_b14, &a[k + kb + (k + kb) *
+ a_dim1], lda);
+ i__3 = *n - k - kb + 1;
+ ssymm_("Left", uplo, &kb, &i__3, &c_b16, &a[k + k *
+ a_dim1], lda, &b[k + (k + kb) * b_dim1], ldb,
+ &c_b14, &a[k + (k + kb) * a_dim1], lda);
+ i__3 = *n - k - kb + 1;
+ strsm_("Right", uplo, "No transpose", "Non-unit", &kb,
+ &i__3, &c_b14, &b[k + kb + (k + kb) * b_dim1]
+, ldb, &a[k + (k + kb) * a_dim1], lda);
+ }
+/* L10: */
+ }
+ } else {
+
+/* Compute inv(L)*A*inv(L') */
+
+ i__2 = *n;
+ i__1 = nb;
+ for (k = 1; i__1 < 0 ? k >= i__2 : k <= i__2; k += i__1) {
+/* Computing MIN */
+ i__3 = *n - k + 1;
+ kb = min(i__3,nb);
+
+/* Update the lower triangle of A(k:n,k:n) */
+
+ ssygs2_(itype, uplo, &kb, &a[k + k * a_dim1], lda, &b[k +
+ k * b_dim1], ldb, info);
+ if (k + kb <= *n) {
+ i__3 = *n - k - kb + 1;
+ strsm_("Right", uplo, "Transpose", "Non-unit", &i__3,
+ &kb, &c_b14, &b[k + k * b_dim1], ldb, &a[k +
+ kb + k * a_dim1], lda);
+ i__3 = *n - k - kb + 1;
+ ssymm_("Right", uplo, &i__3, &kb, &c_b16, &a[k + k *
+ a_dim1], lda, &b[k + kb + k * b_dim1], ldb, &
+ c_b14, &a[k + kb + k * a_dim1], lda);
+ i__3 = *n - k - kb + 1;
+ ssyr2k_(uplo, "No transpose", &i__3, &kb, &c_b19, &a[
+ k + kb + k * a_dim1], lda, &b[k + kb + k *
+ b_dim1], ldb, &c_b14, &a[k + kb + (k + kb) *
+ a_dim1], lda);
+ i__3 = *n - k - kb + 1;
+ ssymm_("Right", uplo, &i__3, &kb, &c_b16, &a[k + k *
+ a_dim1], lda, &b[k + kb + k * b_dim1], ldb, &
+ c_b14, &a[k + kb + k * a_dim1], lda);
+ i__3 = *n - k - kb + 1;
+ strsm_("Left", uplo, "No transpose", "Non-unit", &
+ i__3, &kb, &c_b14, &b[k + kb + (k + kb) *
+ b_dim1], ldb, &a[k + kb + k * a_dim1], lda);
+ }
+/* L20: */
+ }
+ }
+ } else {
+ if (upper) {
+
+/* Compute U*A*U' */
+
+ i__1 = *n;
+ i__2 = nb;
+ for (k = 1; i__2 < 0 ? k >= i__1 : k <= i__1; k += i__2) {
+/* Computing MIN */
+ i__3 = *n - k + 1;
+ kb = min(i__3,nb);
+
+/* Update the upper triangle of A(1:k+kb-1,1:k+kb-1) */
+
+ i__3 = k - 1;
+ strmm_("Left", uplo, "No transpose", "Non-unit", &i__3, &
+ kb, &c_b14, &b[b_offset], ldb, &a[k * a_dim1 + 1],
+ lda)
+ ;
+ i__3 = k - 1;
+ ssymm_("Right", uplo, &i__3, &kb, &c_b52, &a[k + k *
+ a_dim1], lda, &b[k * b_dim1 + 1], ldb, &c_b14, &a[
+ k * a_dim1 + 1], lda);
+ i__3 = k - 1;
+ ssyr2k_(uplo, "No transpose", &i__3, &kb, &c_b14, &a[k *
+ a_dim1 + 1], lda, &b[k * b_dim1 + 1], ldb, &c_b14,
+ &a[a_offset], lda);
+ i__3 = k - 1;
+ ssymm_("Right", uplo, &i__3, &kb, &c_b52, &a[k + k *
+ a_dim1], lda, &b[k * b_dim1 + 1], ldb, &c_b14, &a[
+ k * a_dim1 + 1], lda);
+ i__3 = k - 1;
+ strmm_("Right", uplo, "Transpose", "Non-unit", &i__3, &kb,
+ &c_b14, &b[k + k * b_dim1], ldb, &a[k * a_dim1 +
+ 1], lda);
+ ssygs2_(itype, uplo, &kb, &a[k + k * a_dim1], lda, &b[k +
+ k * b_dim1], ldb, info);
+/* L30: */
+ }
+ } else {
+
+/* Compute L'*A*L */
+
+ i__2 = *n;
+ i__1 = nb;
+ for (k = 1; i__1 < 0 ? k >= i__2 : k <= i__2; k += i__1) {
+/* Computing MIN */
+ i__3 = *n - k + 1;
+ kb = min(i__3,nb);
+
+/* Update the lower triangle of A(1:k+kb-1,1:k+kb-1) */
+
+ i__3 = k - 1;
+ strmm_("Right", uplo, "No transpose", "Non-unit", &kb, &
+ i__3, &c_b14, &b[b_offset], ldb, &a[k + a_dim1],
+ lda);
+ i__3 = k - 1;
+ ssymm_("Left", uplo, &kb, &i__3, &c_b52, &a[k + k *
+ a_dim1], lda, &b[k + b_dim1], ldb, &c_b14, &a[k +
+ a_dim1], lda);
+ i__3 = k - 1;
+ ssyr2k_(uplo, "Transpose", &i__3, &kb, &c_b14, &a[k +
+ a_dim1], lda, &b[k + b_dim1], ldb, &c_b14, &a[
+ a_offset], lda);
+ i__3 = k - 1;
+ ssymm_("Left", uplo, &kb, &i__3, &c_b52, &a[k + k *
+ a_dim1], lda, &b[k + b_dim1], ldb, &c_b14, &a[k +
+ a_dim1], lda);
+ i__3 = k - 1;
+ strmm_("Left", uplo, "Transpose", "Non-unit", &kb, &i__3,
+ &c_b14, &b[k + k * b_dim1], ldb, &a[k + a_dim1],
+ lda);
+ ssygs2_(itype, uplo, &kb, &a[k + k * a_dim1], lda, &b[k +
+ k * b_dim1], ldb, info);
+/* L40: */
+ }
+ }
+ }
+ }
+ return 0;
+
+/* End of SSYGST */
+
+} /* ssygst_ */