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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/sgttrf.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/sgttrf.c')
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1 files changed, 203 insertions, 0 deletions
diff --git a/contrib/libs/clapack/sgttrf.c b/contrib/libs/clapack/sgttrf.c
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+/* sgttrf.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 sgttrf_(integer *n, real *dl, real *d__, real *du, real *
+ du2, integer *ipiv, integer *info)
+{
+ /* System generated locals */
+ integer i__1;
+ real r__1, r__2;
+
+ /* Local variables */
+ integer i__;
+ real fact, temp;
+ extern /* Subroutine */ int xerbla_(char *, integer *);
+
+
+/* -- LAPACK routine (version 3.2) -- */
+/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/* November 2006 */
+
+/* .. Scalar Arguments .. */
+/* .. */
+/* .. Array Arguments .. */
+/* .. */
+
+/* Purpose */
+/* ======= */
+
+/* SGTTRF computes an LU factorization of a real tridiagonal matrix A */
+/* using elimination with partial pivoting and row interchanges. */
+
+/* The factorization has the form */
+/* A = L * U */
+/* where L is a product of permutation and unit lower bidiagonal */
+/* matrices and U is upper triangular with nonzeros in only the main */
+/* diagonal and first two superdiagonals. */
+
+/* Arguments */
+/* ========= */
+
+/* N (input) INTEGER */
+/* The order of the matrix A. */
+
+/* DL (input/output) REAL array, dimension (N-1) */
+/* On entry, DL must contain the (n-1) sub-diagonal elements of */
+/* A. */
+
+/* On exit, DL is overwritten by the (n-1) multipliers that */
+/* define the matrix L from the LU factorization of A. */
+
+/* D (input/output) REAL array, dimension (N) */
+/* On entry, D must contain the diagonal elements of A. */
+
+/* On exit, D is overwritten by the n diagonal elements of the */
+/* upper triangular matrix U from the LU factorization of A. */
+
+/* DU (input/output) REAL array, dimension (N-1) */
+/* On entry, DU must contain the (n-1) super-diagonal elements */
+/* of A. */
+
+/* On exit, DU is overwritten by the (n-1) elements of the first */
+/* super-diagonal of U. */
+
+/* DU2 (output) REAL array, dimension (N-2) */
+/* On exit, DU2 is overwritten by the (n-2) elements of the */
+/* second super-diagonal of U. */
+
+/* IPIV (output) 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. */
+
+/* INFO (output) INTEGER */
+/* = 0: successful exit */
+/* < 0: if INFO = -k, the k-th argument had an illegal value */
+/* > 0: if INFO = k, U(k,k) is exactly zero. The factorization */
+/* has been completed, but the factor U is exactly */
+/* singular, and division by zero will occur if it is used */
+/* to solve a system of equations. */
+
+/* ===================================================================== */
+
+/* .. Parameters .. */
+/* .. */
+/* .. Local Scalars .. */
+/* .. */
+/* .. Intrinsic Functions .. */
+/* .. */
+/* .. External Subroutines .. */
+/* .. */
+/* .. Executable Statements .. */
+
+ /* Parameter adjustments */
+ --ipiv;
+ --du2;
+ --du;
+ --d__;
+ --dl;
+
+ /* Function Body */
+ *info = 0;
+ if (*n < 0) {
+ *info = -1;
+ i__1 = -(*info);
+ xerbla_("SGTTRF", &i__1);
+ return 0;
+ }
+
+/* Quick return if possible */
+
+ if (*n == 0) {
+ return 0;
+ }
+
+/* Initialize IPIV(i) = i and DU2(I) = 0 */
+
+ i__1 = *n;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+ ipiv[i__] = i__;
+/* L10: */
+ }
+ i__1 = *n - 2;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+ du2[i__] = 0.f;
+/* L20: */
+ }
+
+ i__1 = *n - 2;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+ if ((r__1 = d__[i__], dabs(r__1)) >= (r__2 = dl[i__], dabs(r__2))) {
+
+/* No row interchange required, eliminate DL(I) */
+
+ if (d__[i__] != 0.f) {
+ fact = dl[i__] / d__[i__];
+ dl[i__] = fact;
+ d__[i__ + 1] -= fact * du[i__];
+ }
+ } else {
+
+/* Interchange rows I and I+1, eliminate DL(I) */
+
+ fact = d__[i__] / dl[i__];
+ d__[i__] = dl[i__];
+ dl[i__] = fact;
+ temp = du[i__];
+ du[i__] = d__[i__ + 1];
+ d__[i__ + 1] = temp - fact * d__[i__ + 1];
+ du2[i__] = du[i__ + 1];
+ du[i__ + 1] = -fact * du[i__ + 1];
+ ipiv[i__] = i__ + 1;
+ }
+/* L30: */
+ }
+ if (*n > 1) {
+ i__ = *n - 1;
+ if ((r__1 = d__[i__], dabs(r__1)) >= (r__2 = dl[i__], dabs(r__2))) {
+ if (d__[i__] != 0.f) {
+ fact = dl[i__] / d__[i__];
+ dl[i__] = fact;
+ d__[i__ + 1] -= fact * du[i__];
+ }
+ } else {
+ fact = d__[i__] / dl[i__];
+ d__[i__] = dl[i__];
+ dl[i__] = fact;
+ temp = du[i__];
+ du[i__] = d__[i__ + 1];
+ d__[i__ + 1] = temp - fact * d__[i__ + 1];
+ ipiv[i__] = i__ + 1;
+ }
+ }
+
+/* Check for a zero on the diagonal of U. */
+
+ i__1 = *n;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+ if (d__[i__] == 0.f) {
+ *info = i__;
+ goto L50;
+ }
+/* L40: */
+ }
+L50:
+
+ return 0;
+
+/* End of SGTTRF */
+
+} /* sgttrf_ */