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author | shmel1k <shmel1k@ydb.tech> | 2022-09-02 12:44:59 +0300 |
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committer | shmel1k <shmel1k@ydb.tech> | 2022-09-02 12:44:59 +0300 |
commit | 90d450f74722da7859d6f510a869f6c6908fd12f (patch) | |
tree | 538c718dedc76cdfe37ad6d01ff250dd930d9278 /contrib/libs/clapack/zlacon.c | |
parent | 01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff) | |
download | ydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz |
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/zlacon.c')
-rw-r--r-- | contrib/libs/clapack/zlacon.c | 275 |
1 files changed, 275 insertions, 0 deletions
diff --git a/contrib/libs/clapack/zlacon.c b/contrib/libs/clapack/zlacon.c new file mode 100644 index 0000000000..9291b3f74c --- /dev/null +++ b/contrib/libs/clapack/zlacon.c @@ -0,0 +1,275 @@ +/* zlacon.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; + +/* Subroutine */ int zlacon_(integer *n, doublecomplex *v, doublecomplex *x, + doublereal *est, integer *kase) +{ + /* System generated locals */ + integer i__1, i__2, i__3; + doublereal d__1, d__2; + doublecomplex z__1; + + /* Builtin functions */ + double z_abs(doublecomplex *), d_imag(doublecomplex *); + + /* Local variables */ + static integer i__, j, iter; + static doublereal temp; + static integer jump; + static doublereal absxi; + static integer jlast; + extern /* Subroutine */ int zcopy_(integer *, doublecomplex *, integer *, + doublecomplex *, integer *); + extern integer izmax1_(integer *, doublecomplex *, integer *); + extern doublereal dzsum1_(integer *, doublecomplex *, integer *), dlamch_( + char *); + static doublereal safmin, altsgn, estold; + + +/* -- LAPACK auxiliary routine (version 3.2) -- */ +/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ +/* November 2006 */ + +/* .. Scalar Arguments .. */ +/* .. */ +/* .. Array Arguments .. */ +/* .. */ + +/* Purpose */ +/* ======= */ + +/* ZLACON estimates the 1-norm of a square, complex matrix A. */ +/* Reverse communication is used for evaluating matrix-vector products. */ + +/* Arguments */ +/* ========= */ + +/* N (input) INTEGER */ +/* The order of the matrix. N >= 1. */ + +/* V (workspace) COMPLEX*16 array, dimension (N) */ +/* On the final return, V = A*W, where EST = norm(V)/norm(W) */ +/* (W is not returned). */ + +/* X (input/output) COMPLEX*16 array, dimension (N) */ +/* On an intermediate return, X should be overwritten by */ +/* A * X, if KASE=1, */ +/* A' * X, if KASE=2, */ +/* where A' is the conjugate transpose of A, and ZLACON must be */ +/* re-called with all the other parameters unchanged. */ + +/* EST (input/output) DOUBLE PRECISION */ +/* On entry with KASE = 1 or 2 and JUMP = 3, EST should be */ +/* unchanged from the previous call to ZLACON. */ +/* On exit, EST is an estimate (a lower bound) for norm(A). */ + +/* KASE (input/output) INTEGER */ +/* On the initial call to ZLACON, KASE should be 0. */ +/* On an intermediate return, KASE will be 1 or 2, indicating */ +/* whether X should be overwritten by A * X or A' * X. */ +/* On the final return from ZLACON, KASE will again be 0. */ + +/* Further Details */ +/* ======= ======= */ + +/* Contributed by Nick Higham, University of Manchester. */ +/* Originally named CONEST, dated March 16, 1988. */ + +/* Reference: N.J. Higham, "FORTRAN codes for estimating the one-norm of */ +/* a real or complex matrix, with applications to condition estimation", */ +/* ACM Trans. Math. Soft., vol. 14, no. 4, pp. 381-396, December 1988. */ + +/* Last modified: April, 1999 */ + +/* ===================================================================== */ + +/* .. Parameters .. */ +/* .. */ +/* .. Local Scalars .. */ +/* .. */ +/* .. External Functions .. */ +/* .. */ +/* .. External Subroutines .. */ +/* .. */ +/* .. Intrinsic Functions .. */ +/* .. */ +/* .. Save statement .. */ +/* .. */ +/* .. Executable Statements .. */ + + /* Parameter adjustments */ + --x; + --v; + + /* Function Body */ + safmin = dlamch_("Safe minimum"); + if (*kase == 0) { + i__1 = *n; + for (i__ = 1; i__ <= i__1; ++i__) { + i__2 = i__; + d__1 = 1. / (doublereal) (*n); + z__1.r = d__1, z__1.i = 0.; + x[i__2].r = z__1.r, x[i__2].i = z__1.i; +/* L10: */ + } + *kase = 1; + jump = 1; + return 0; + } + + switch (jump) { + case 1: goto L20; + case 2: goto L40; + case 3: goto L70; + case 4: goto L90; + case 5: goto L120; + } + +/* ................ ENTRY (JUMP = 1) */ +/* FIRST ITERATION. X HAS BEEN OVERWRITTEN BY A*X. */ + +L20: + if (*n == 1) { + v[1].r = x[1].r, v[1].i = x[1].i; + *est = z_abs(&v[1]); +/* ... QUIT */ + goto L130; + } + *est = dzsum1_(n, &x[1], &c__1); + + i__1 = *n; + for (i__ = 1; i__ <= i__1; ++i__) { + absxi = z_abs(&x[i__]); + if (absxi > safmin) { + i__2 = i__; + i__3 = i__; + d__1 = x[i__3].r / absxi; + d__2 = d_imag(&x[i__]) / absxi; + z__1.r = d__1, z__1.i = d__2; + x[i__2].r = z__1.r, x[i__2].i = z__1.i; + } else { + i__2 = i__; + x[i__2].r = 1., x[i__2].i = 0.; + } +/* L30: */ + } + *kase = 2; + jump = 2; + return 0; + +/* ................ ENTRY (JUMP = 2) */ +/* FIRST ITERATION. X HAS BEEN OVERWRITTEN BY CTRANS(A)*X. */ + +L40: + j = izmax1_(n, &x[1], &c__1); + iter = 2; + +/* MAIN LOOP - ITERATIONS 2,3,...,ITMAX. */ + +L50: + i__1 = *n; + for (i__ = 1; i__ <= i__1; ++i__) { + i__2 = i__; + x[i__2].r = 0., x[i__2].i = 0.; +/* L60: */ + } + i__1 = j; + x[i__1].r = 1., x[i__1].i = 0.; + *kase = 1; + jump = 3; + return 0; + +/* ................ ENTRY (JUMP = 3) */ +/* X HAS BEEN OVERWRITTEN BY A*X. */ + +L70: + zcopy_(n, &x[1], &c__1, &v[1], &c__1); + estold = *est; + *est = dzsum1_(n, &v[1], &c__1); + +/* TEST FOR CYCLING. */ + if (*est <= estold) { + goto L100; + } + + i__1 = *n; + for (i__ = 1; i__ <= i__1; ++i__) { + absxi = z_abs(&x[i__]); + if (absxi > safmin) { + i__2 = i__; + i__3 = i__; + d__1 = x[i__3].r / absxi; + d__2 = d_imag(&x[i__]) / absxi; + z__1.r = d__1, z__1.i = d__2; + x[i__2].r = z__1.r, x[i__2].i = z__1.i; + } else { + i__2 = i__; + x[i__2].r = 1., x[i__2].i = 0.; + } +/* L80: */ + } + *kase = 2; + jump = 4; + return 0; + +/* ................ ENTRY (JUMP = 4) */ +/* X HAS BEEN OVERWRITTEN BY CTRANS(A)*X. */ + +L90: + jlast = j; + j = izmax1_(n, &x[1], &c__1); + if (z_abs(&x[jlast]) != z_abs(&x[j]) && iter < 5) { + ++iter; + goto L50; + } + +/* ITERATION COMPLETE. FINAL STAGE. */ + +L100: + altsgn = 1.; + i__1 = *n; + for (i__ = 1; i__ <= i__1; ++i__) { + i__2 = i__; + d__1 = altsgn * ((doublereal) (i__ - 1) / (doublereal) (*n - 1) + 1.); + z__1.r = d__1, z__1.i = 0.; + x[i__2].r = z__1.r, x[i__2].i = z__1.i; + altsgn = -altsgn; +/* L110: */ + } + *kase = 1; + jump = 5; + return 0; + +/* ................ ENTRY (JUMP = 5) */ +/* X HAS BEEN OVERWRITTEN BY A*X. */ + +L120: + temp = dzsum1_(n, &x[1], &c__1) / (doublereal) (*n * 3) * 2.; + if (temp > *est) { + zcopy_(n, &x[1], &c__1, &v[1], &c__1); + *est = temp; + } + +L130: + *kase = 0; + return 0; + +/* End of ZLACON */ + +} /* zlacon_ */ |