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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/dlacn2.c | |
parent | 01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff) | |
download | ydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz |
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/dlacn2.c')
-rw-r--r-- | contrib/libs/clapack/dlacn2.c | 267 |
1 files changed, 267 insertions, 0 deletions
diff --git a/contrib/libs/clapack/dlacn2.c b/contrib/libs/clapack/dlacn2.c new file mode 100644 index 0000000000..958f294de0 --- /dev/null +++ b/contrib/libs/clapack/dlacn2.c @@ -0,0 +1,267 @@ +/* dlacn2.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 doublereal c_b11 = 1.; + +/* Subroutine */ int dlacn2_(integer *n, doublereal *v, doublereal *x, + integer *isgn, doublereal *est, integer *kase, integer *isave) +{ + /* System generated locals */ + integer i__1; + doublereal d__1; + + /* Builtin functions */ + double d_sign(doublereal *, doublereal *); + integer i_dnnt(doublereal *); + + /* Local variables */ + integer i__; + doublereal temp; + extern doublereal dasum_(integer *, doublereal *, integer *); + integer jlast; + extern /* Subroutine */ int dcopy_(integer *, doublereal *, integer *, + doublereal *, integer *); + extern integer idamax_(integer *, doublereal *, integer *); + doublereal 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 */ +/* ======= */ + +/* DLACN2 estimates the 1-norm of a square, real matrix A. */ +/* Reverse communication is used for evaluating matrix-vector products. */ + +/* Arguments */ +/* ========= */ + +/* N (input) INTEGER */ +/* The order of the matrix. N >= 1. */ + +/* V (workspace) DOUBLE PRECISION array, dimension (N) */ +/* On the final return, V = A*W, where EST = norm(V)/norm(W) */ +/* (W is not returned). */ + +/* X (input/output) DOUBLE PRECISION array, dimension (N) */ +/* On an intermediate return, X should be overwritten by */ +/* A * X, if KASE=1, */ +/* A' * X, if KASE=2, */ +/* and DLACN2 must be re-called with all the other parameters */ +/* unchanged. */ + +/* ISGN (workspace) INTEGER array, dimension (N) */ + +/* EST (input/output) DOUBLE PRECISION */ +/* On entry with KASE = 1 or 2 and ISAVE(1) = 3, EST should be */ +/* unchanged from the previous call to DLACN2. */ +/* On exit, EST is an estimate (a lower bound) for norm(A). */ + +/* KASE (input/output) INTEGER */ +/* On the initial call to DLACN2, 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 DLACN2, KASE will again be 0. */ + +/* ISAVE (input/output) INTEGER array, dimension (3) */ +/* ISAVE is used to save variables between calls to DLACN2 */ + +/* Further Details */ +/* ======= ======= */ + +/* Contributed by Nick Higham, University of Manchester. */ +/* Originally named SONEST, 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. */ + +/* This is a thread safe version of DLACON, which uses the array ISAVE */ +/* in place of a SAVE statement, as follows: */ + +/* DLACON DLACN2 */ +/* JUMP ISAVE(1) */ +/* J ISAVE(2) */ +/* ITER ISAVE(3) */ + +/* ===================================================================== */ + +/* .. Parameters .. */ +/* .. */ +/* .. Local Scalars .. */ +/* .. */ +/* .. External Functions .. */ +/* .. */ +/* .. External Subroutines .. */ +/* .. */ +/* .. Intrinsic Functions .. */ +/* .. */ +/* .. Executable Statements .. */ + + /* Parameter adjustments */ + --isave; + --isgn; + --x; + --v; + + /* Function Body */ + if (*kase == 0) { + i__1 = *n; + for (i__ = 1; i__ <= i__1; ++i__) { + x[i__] = 1. / (doublereal) (*n); +/* L10: */ + } + *kase = 1; + isave[1] = 1; + return 0; + } + + switch (isave[1]) { + case 1: goto L20; + case 2: goto L40; + case 3: goto L70; + case 4: goto L110; + case 5: goto L140; + } + +/* ................ ENTRY (ISAVE( 1 ) = 1) */ +/* FIRST ITERATION. X HAS BEEN OVERWRITTEN BY A*X. */ + +L20: + if (*n == 1) { + v[1] = x[1]; + *est = abs(v[1]); +/* ... QUIT */ + goto L150; + } + *est = dasum_(n, &x[1], &c__1); + + i__1 = *n; + for (i__ = 1; i__ <= i__1; ++i__) { + x[i__] = d_sign(&c_b11, &x[i__]); + isgn[i__] = i_dnnt(&x[i__]); +/* L30: */ + } + *kase = 2; + isave[1] = 2; + return 0; + +/* ................ ENTRY (ISAVE( 1 ) = 2) */ +/* FIRST ITERATION. X HAS BEEN OVERWRITTEN BY TRANSPOSE(A)*X. */ + +L40: + isave[2] = idamax_(n, &x[1], &c__1); + isave[3] = 2; + +/* MAIN LOOP - ITERATIONS 2,3,...,ITMAX. */ + +L50: + i__1 = *n; + for (i__ = 1; i__ <= i__1; ++i__) { + x[i__] = 0.; +/* L60: */ + } + x[isave[2]] = 1.; + *kase = 1; + isave[1] = 3; + return 0; + +/* ................ ENTRY (ISAVE( 1 ) = 3) */ +/* X HAS BEEN OVERWRITTEN BY A*X. */ + +L70: + dcopy_(n, &x[1], &c__1, &v[1], &c__1); + estold = *est; + *est = dasum_(n, &v[1], &c__1); + i__1 = *n; + for (i__ = 1; i__ <= i__1; ++i__) { + d__1 = d_sign(&c_b11, &x[i__]); + if (i_dnnt(&d__1) != isgn[i__]) { + goto L90; + } +/* L80: */ + } +/* REPEATED SIGN VECTOR DETECTED, HENCE ALGORITHM HAS CONVERGED. */ + goto L120; + +L90: +/* TEST FOR CYCLING. */ + if (*est <= estold) { + goto L120; + } + + i__1 = *n; + for (i__ = 1; i__ <= i__1; ++i__) { + x[i__] = d_sign(&c_b11, &x[i__]); + isgn[i__] = i_dnnt(&x[i__]); +/* L100: */ + } + *kase = 2; + isave[1] = 4; + return 0; + +/* ................ ENTRY (ISAVE( 1 ) = 4) */ +/* X HAS BEEN OVERWRITTEN BY TRANSPOSE(A)*X. */ + +L110: + jlast = isave[2]; + isave[2] = idamax_(n, &x[1], &c__1); + if (x[jlast] != (d__1 = x[isave[2]], abs(d__1)) && isave[3] < 5) { + ++isave[3]; + goto L50; + } + +/* ITERATION COMPLETE. FINAL STAGE. */ + +L120: + altsgn = 1.; + i__1 = *n; + for (i__ = 1; i__ <= i__1; ++i__) { + x[i__] = altsgn * ((doublereal) (i__ - 1) / (doublereal) (*n - 1) + + 1.); + altsgn = -altsgn; +/* L130: */ + } + *kase = 1; + isave[1] = 5; + return 0; + +/* ................ ENTRY (ISAVE( 1 ) = 5) */ +/* X HAS BEEN OVERWRITTEN BY A*X. */ + +L140: + temp = dasum_(n, &x[1], &c__1) / (doublereal) (*n * 3) * 2.; + if (temp > *est) { + dcopy_(n, &x[1], &c__1, &v[1], &c__1); + *est = temp; + } + +L150: + *kase = 0; + return 0; + +/* End of DLACN2 */ + +} /* dlacn2_ */ |