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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/zlaev2.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
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+/* zlaev2.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 zlaev2_(doublecomplex *a, doublecomplex *b,
+ doublecomplex *c__, doublereal *rt1, doublereal *rt2, doublereal *cs1,
+ doublecomplex *sn1)
+{
+ /* System generated locals */
+ doublereal d__1, d__2, d__3;
+ doublecomplex z__1, z__2;
+
+ /* Builtin functions */
+ double z_abs(doublecomplex *);
+ void d_cnjg(doublecomplex *, doublecomplex *);
+
+ /* Local variables */
+ doublereal t;
+ doublecomplex w;
+ extern /* Subroutine */ int dlaev2_(doublereal *, doublereal *,
+ doublereal *, doublereal *, doublereal *, doublereal *,
+ doublereal *);
+
+
+/* -- LAPACK auxiliary routine (version 3.2) -- */
+/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/* November 2006 */
+
+/* .. Scalar Arguments .. */
+/* .. */
+
+/* Purpose */
+/* ======= */
+
+/* ZLAEV2 computes the eigendecomposition of a 2-by-2 Hermitian matrix */
+/* [ A B ] */
+/* [ CONJG(B) C ]. */
+/* On return, RT1 is the eigenvalue of larger absolute value, RT2 is the */
+/* eigenvalue of smaller absolute value, and (CS1,SN1) is the unit right */
+/* eigenvector for RT1, giving the decomposition */
+
+/* [ CS1 CONJG(SN1) ] [ A B ] [ CS1 -CONJG(SN1) ] = [ RT1 0 ] */
+/* [-SN1 CS1 ] [ CONJG(B) C ] [ SN1 CS1 ] [ 0 RT2 ]. */
+
+/* Arguments */
+/* ========= */
+
+/* A (input) COMPLEX*16 */
+/* The (1,1) element of the 2-by-2 matrix. */
+
+/* B (input) COMPLEX*16 */
+/* The (1,2) element and the conjugate of the (2,1) element of */
+/* the 2-by-2 matrix. */
+
+/* C (input) COMPLEX*16 */
+/* The (2,2) element of the 2-by-2 matrix. */
+
+/* RT1 (output) DOUBLE PRECISION */
+/* The eigenvalue of larger absolute value. */
+
+/* RT2 (output) DOUBLE PRECISION */
+/* The eigenvalue of smaller absolute value. */
+
+/* CS1 (output) DOUBLE PRECISION */
+/* SN1 (output) COMPLEX*16 */
+/* The vector (CS1, SN1) is a unit right eigenvector for RT1. */
+
+/* Further Details */
+/* =============== */
+
+/* RT1 is accurate to a few ulps barring over/underflow. */
+
+/* RT2 may be inaccurate if there is massive cancellation in the */
+/* determinant A*C-B*B; higher precision or correctly rounded or */
+/* correctly truncated arithmetic would be needed to compute RT2 */
+/* accurately in all cases. */
+
+/* CS1 and SN1 are accurate to a few ulps barring over/underflow. */
+
+/* Overflow is possible only if RT1 is within a factor of 5 of overflow. */
+/* Underflow is harmless if the input data is 0 or exceeds */
+/* underflow_threshold / macheps. */
+
+/* ===================================================================== */
+
+/* .. Parameters .. */
+/* .. */
+/* .. Local Scalars .. */
+/* .. */
+/* .. External Subroutines .. */
+/* .. */
+/* .. Intrinsic Functions .. */
+/* .. */
+/* .. Executable Statements .. */
+
+ if (z_abs(b) == 0.) {
+ w.r = 1., w.i = 0.;
+ } else {
+ d_cnjg(&z__2, b);
+ d__1 = z_abs(b);
+ z__1.r = z__2.r / d__1, z__1.i = z__2.i / d__1;
+ w.r = z__1.r, w.i = z__1.i;
+ }
+ d__1 = a->r;
+ d__2 = z_abs(b);
+ d__3 = c__->r;
+ dlaev2_(&d__1, &d__2, &d__3, rt1, rt2, cs1, &t);
+ z__1.r = t * w.r, z__1.i = t * w.i;
+ sn1->r = z__1.r, sn1->i = z__1.i;
+ return 0;
+
+/* End of ZLAEV2 */
+
+} /* zlaev2_ */