aboutsummaryrefslogtreecommitdiffstats
path: root/contrib/libs/clapack/ssptrd.c
diff options
context:
space:
mode:
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/ssptrd.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/ssptrd.c')
-rw-r--r--contrib/libs/clapack/ssptrd.c275
1 files changed, 275 insertions, 0 deletions
diff --git a/contrib/libs/clapack/ssptrd.c b/contrib/libs/clapack/ssptrd.c
new file mode 100644
index 0000000000..db5eb88f2a
--- /dev/null
+++ b/contrib/libs/clapack/ssptrd.c
@@ -0,0 +1,275 @@
+/* ssptrd.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 real c_b8 = 0.f;
+static real c_b14 = -1.f;
+
+/* Subroutine */ int ssptrd_(char *uplo, integer *n, real *ap, real *d__,
+ real *e, real *tau, integer *info)
+{
+ /* System generated locals */
+ integer i__1, i__2;
+
+ /* Local variables */
+ integer i__, i1, ii, i1i1;
+ real taui;
+ extern doublereal sdot_(integer *, real *, integer *, real *, integer *);
+ extern /* Subroutine */ int sspr2_(char *, integer *, real *, real *,
+ integer *, real *, integer *, real *);
+ real alpha;
+ extern logical lsame_(char *, char *);
+ logical upper;
+ extern /* Subroutine */ int saxpy_(integer *, real *, real *, integer *,
+ real *, integer *), sspmv_(char *, integer *, real *, real *,
+ real *, integer *, real *, real *, integer *), xerbla_(
+ char *, integer *), slarfg_(integer *, real *, real *,
+ integer *, real *);
+
+
+/* -- LAPACK routine (version 3.2) -- */
+/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/* November 2006 */
+
+/* .. Scalar Arguments .. */
+/* .. */
+/* .. Array Arguments .. */
+/* .. */
+
+/* Purpose */
+/* ======= */
+
+/* SSPTRD reduces a real symmetric matrix A stored in packed form to */
+/* symmetric tridiagonal form T by an orthogonal similarity */
+/* transformation: Q**T * A * Q = T. */
+
+/* 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/output) REAL 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)*(2*n-j)/2) = A(i,j) for j<=i<=n. */
+/* On exit, if UPLO = 'U', the diagonal and first superdiagonal */
+/* of A are overwritten by the corresponding elements of the */
+/* tridiagonal matrix T, and the elements above the first */
+/* superdiagonal, with the array TAU, represent the orthogonal */
+/* matrix Q as a product of elementary reflectors; if UPLO */
+/* = 'L', the diagonal and first subdiagonal of A are over- */
+/* written by the corresponding elements of the tridiagonal */
+/* matrix T, and the elements below the first subdiagonal, with */
+/* the array TAU, represent the orthogonal matrix Q as a product */
+/* of elementary reflectors. See Further Details. */
+
+/* D (output) REAL array, dimension (N) */
+/* The diagonal elements of the tridiagonal matrix T: */
+/* D(i) = A(i,i). */
+
+/* E (output) REAL array, dimension (N-1) */
+/* The off-diagonal elements of the tridiagonal matrix T: */
+/* E(i) = A(i,i+1) if UPLO = 'U', E(i) = A(i+1,i) if UPLO = 'L'. */
+
+/* TAU (output) REAL array, dimension (N-1) */
+/* The scalar factors of the elementary reflectors (see Further */
+/* Details). */
+
+/* INFO (output) INTEGER */
+/* = 0: successful exit */
+/* < 0: if INFO = -i, the i-th argument had an illegal value */
+
+/* Further Details */
+/* =============== */
+
+/* If UPLO = 'U', the matrix Q is represented as a product of elementary */
+/* reflectors */
+
+/* Q = H(n-1) . . . H(2) H(1). */
+
+/* Each H(i) has the form */
+
+/* H(i) = I - tau * v * v' */
+
+/* where tau is a real scalar, and v is a real vector with */
+/* v(i+1:n) = 0 and v(i) = 1; v(1:i-1) is stored on exit in AP, */
+/* overwriting A(1:i-1,i+1), and tau is stored in TAU(i). */
+
+/* If UPLO = 'L', the matrix Q is represented as a product of elementary */
+/* reflectors */
+
+/* Q = H(1) H(2) . . . H(n-1). */
+
+/* Each H(i) has the form */
+
+/* H(i) = I - tau * v * v' */
+
+/* where tau is a real scalar, and v is a real vector with */
+/* v(1:i) = 0 and v(i+1) = 1; v(i+2:n) is stored on exit in AP, */
+/* overwriting A(i+2:n,i), and tau is stored in TAU(i). */
+
+/* ===================================================================== */
+
+/* .. Parameters .. */
+/* .. */
+/* .. Local Scalars .. */
+/* .. */
+/* .. External Subroutines .. */
+/* .. */
+/* .. External Functions .. */
+/* .. */
+/* .. Executable Statements .. */
+
+/* Test the input parameters */
+
+ /* Parameter adjustments */
+ --tau;
+ --e;
+ --d__;
+ --ap;
+
+ /* Function Body */
+ *info = 0;
+ upper = lsame_(uplo, "U");
+ if (! upper && ! lsame_(uplo, "L")) {
+ *info = -1;
+ } else if (*n < 0) {
+ *info = -2;
+ }
+ if (*info != 0) {
+ i__1 = -(*info);
+ xerbla_("SSPTRD", &i__1);
+ return 0;
+ }
+
+/* Quick return if possible */
+
+ if (*n <= 0) {
+ return 0;
+ }
+
+ if (upper) {
+
+/* Reduce the upper triangle of A. */
+/* I1 is the index in AP of A(1,I+1). */
+
+ i1 = *n * (*n - 1) / 2 + 1;
+ for (i__ = *n - 1; i__ >= 1; --i__) {
+
+/* Generate elementary reflector H(i) = I - tau * v * v' */
+/* to annihilate A(1:i-1,i+1) */
+
+ slarfg_(&i__, &ap[i1 + i__ - 1], &ap[i1], &c__1, &taui);
+ e[i__] = ap[i1 + i__ - 1];
+
+ if (taui != 0.f) {
+
+/* Apply H(i) from both sides to A(1:i,1:i) */
+
+ ap[i1 + i__ - 1] = 1.f;
+
+/* Compute y := tau * A * v storing y in TAU(1:i) */
+
+ sspmv_(uplo, &i__, &taui, &ap[1], &ap[i1], &c__1, &c_b8, &tau[
+ 1], &c__1);
+
+/* Compute w := y - 1/2 * tau * (y'*v) * v */
+
+ alpha = taui * -.5f * sdot_(&i__, &tau[1], &c__1, &ap[i1], &
+ c__1);
+ saxpy_(&i__, &alpha, &ap[i1], &c__1, &tau[1], &c__1);
+
+/* Apply the transformation as a rank-2 update: */
+/* A := A - v * w' - w * v' */
+
+ sspr2_(uplo, &i__, &c_b14, &ap[i1], &c__1, &tau[1], &c__1, &
+ ap[1]);
+
+ ap[i1 + i__ - 1] = e[i__];
+ }
+ d__[i__ + 1] = ap[i1 + i__];
+ tau[i__] = taui;
+ i1 -= i__;
+/* L10: */
+ }
+ d__[1] = ap[1];
+ } else {
+
+/* Reduce the lower triangle of A. II is the index in AP of */
+/* A(i,i) and I1I1 is the index of A(i+1,i+1). */
+
+ ii = 1;
+ i__1 = *n - 1;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+ i1i1 = ii + *n - i__ + 1;
+
+/* Generate elementary reflector H(i) = I - tau * v * v' */
+/* to annihilate A(i+2:n,i) */
+
+ i__2 = *n - i__;
+ slarfg_(&i__2, &ap[ii + 1], &ap[ii + 2], &c__1, &taui);
+ e[i__] = ap[ii + 1];
+
+ if (taui != 0.f) {
+
+/* Apply H(i) from both sides to A(i+1:n,i+1:n) */
+
+ ap[ii + 1] = 1.f;
+
+/* Compute y := tau * A * v storing y in TAU(i:n-1) */
+
+ i__2 = *n - i__;
+ sspmv_(uplo, &i__2, &taui, &ap[i1i1], &ap[ii + 1], &c__1, &
+ c_b8, &tau[i__], &c__1);
+
+/* Compute w := y - 1/2 * tau * (y'*v) * v */
+
+ i__2 = *n - i__;
+ alpha = taui * -.5f * sdot_(&i__2, &tau[i__], &c__1, &ap[ii +
+ 1], &c__1);
+ i__2 = *n - i__;
+ saxpy_(&i__2, &alpha, &ap[ii + 1], &c__1, &tau[i__], &c__1);
+
+/* Apply the transformation as a rank-2 update: */
+/* A := A - v * w' - w * v' */
+
+ i__2 = *n - i__;
+ sspr2_(uplo, &i__2, &c_b14, &ap[ii + 1], &c__1, &tau[i__], &
+ c__1, &ap[i1i1]);
+
+ ap[ii + 1] = e[i__];
+ }
+ d__[i__] = ap[ii];
+ tau[i__] = taui;
+ ii = i1i1;
+/* L20: */
+ }
+ d__[*n] = ap[ii];
+ }
+
+ return 0;
+
+/* End of SSPTRD */
+
+} /* ssptrd_ */