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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/ddisna.c | |
parent | 01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff) | |
download | ydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz |
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/ddisna.c')
-rw-r--r-- | contrib/libs/clapack/ddisna.c | 227 |
1 files changed, 227 insertions, 0 deletions
diff --git a/contrib/libs/clapack/ddisna.c b/contrib/libs/clapack/ddisna.c new file mode 100644 index 0000000000..ad7c3677ab --- /dev/null +++ b/contrib/libs/clapack/ddisna.c @@ -0,0 +1,227 @@ +/* ddisna.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 ddisna_(char *job, integer *m, integer *n, doublereal * + d__, doublereal *sep, integer *info) +{ + /* System generated locals */ + integer i__1; + doublereal d__1, d__2, d__3; + + /* Local variables */ + integer i__, k; + doublereal eps; + logical decr, left, incr, sing, eigen; + extern logical lsame_(char *, char *); + doublereal anorm; + logical right; + extern doublereal dlamch_(char *); + doublereal oldgap, safmin; + extern /* Subroutine */ int xerbla_(char *, integer *); + doublereal newgap, thresh; + + +/* -- LAPACK routine (version 3.2) -- */ +/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ +/* November 2006 */ + +/* .. Scalar Arguments .. */ +/* .. */ +/* .. Array Arguments .. */ +/* .. */ + +/* Purpose */ +/* ======= */ + +/* DDISNA computes the reciprocal condition numbers for the eigenvectors */ +/* of a real symmetric or complex Hermitian matrix or for the left or */ +/* right singular vectors of a general m-by-n matrix. The reciprocal */ +/* condition number is the 'gap' between the corresponding eigenvalue or */ +/* singular value and the nearest other one. */ + +/* The bound on the error, measured by angle in radians, in the I-th */ +/* computed vector is given by */ + +/* DLAMCH( 'E' ) * ( ANORM / SEP( I ) ) */ + +/* where ANORM = 2-norm(A) = max( abs( D(j) ) ). SEP(I) is not allowed */ +/* to be smaller than DLAMCH( 'E' )*ANORM in order to limit the size of */ +/* the error bound. */ + +/* DDISNA may also be used to compute error bounds for eigenvectors of */ +/* the generalized symmetric definite eigenproblem. */ + +/* Arguments */ +/* ========= */ + +/* JOB (input) CHARACTER*1 */ +/* Specifies for which problem the reciprocal condition numbers */ +/* should be computed: */ +/* = 'E': the eigenvectors of a symmetric/Hermitian matrix; */ +/* = 'L': the left singular vectors of a general matrix; */ +/* = 'R': the right singular vectors of a general matrix. */ + +/* M (input) INTEGER */ +/* The number of rows of the matrix. M >= 0. */ + +/* N (input) INTEGER */ +/* If JOB = 'L' or 'R', the number of columns of the matrix, */ +/* in which case N >= 0. Ignored if JOB = 'E'. */ + +/* D (input) DOUBLE PRECISION array, dimension (M) if JOB = 'E' */ +/* dimension (min(M,N)) if JOB = 'L' or 'R' */ +/* The eigenvalues (if JOB = 'E') or singular values (if JOB = */ +/* 'L' or 'R') of the matrix, in either increasing or decreasing */ +/* order. If singular values, they must be non-negative. */ + +/* SEP (output) DOUBLE PRECISION array, dimension (M) if JOB = 'E' */ +/* dimension (min(M,N)) if JOB = 'L' or 'R' */ +/* The reciprocal condition numbers of the vectors. */ + +/* INFO (output) INTEGER */ +/* = 0: successful exit. */ +/* < 0: if INFO = -i, the i-th argument had an illegal value. */ + +/* ===================================================================== */ + +/* .. Parameters .. */ +/* .. */ +/* .. Local Scalars .. */ +/* .. */ +/* .. External Functions .. */ +/* .. */ +/* .. Intrinsic Functions .. */ +/* .. */ +/* .. External Subroutines .. */ +/* .. */ +/* .. Executable Statements .. */ + +/* Test the input arguments */ + + /* Parameter adjustments */ + --sep; + --d__; + + /* Function Body */ + *info = 0; + eigen = lsame_(job, "E"); + left = lsame_(job, "L"); + right = lsame_(job, "R"); + sing = left || right; + if (eigen) { + k = *m; + } else if (sing) { + k = min(*m,*n); + } + if (! eigen && ! sing) { + *info = -1; + } else if (*m < 0) { + *info = -2; + } else if (k < 0) { + *info = -3; + } else { + incr = TRUE_; + decr = TRUE_; + i__1 = k - 1; + for (i__ = 1; i__ <= i__1; ++i__) { + if (incr) { + incr = incr && d__[i__] <= d__[i__ + 1]; + } + if (decr) { + decr = decr && d__[i__] >= d__[i__ + 1]; + } +/* L10: */ + } + if (sing && k > 0) { + if (incr) { + incr = incr && 0. <= d__[1]; + } + if (decr) { + decr = decr && d__[k] >= 0.; + } + } + if (! (incr || decr)) { + *info = -4; + } + } + if (*info != 0) { + i__1 = -(*info); + xerbla_("DDISNA", &i__1); + return 0; + } + +/* Quick return if possible */ + + if (k == 0) { + return 0; + } + +/* Compute reciprocal condition numbers */ + + if (k == 1) { + sep[1] = dlamch_("O"); + } else { + oldgap = (d__1 = d__[2] - d__[1], abs(d__1)); + sep[1] = oldgap; + i__1 = k - 1; + for (i__ = 2; i__ <= i__1; ++i__) { + newgap = (d__1 = d__[i__ + 1] - d__[i__], abs(d__1)); + sep[i__] = min(oldgap,newgap); + oldgap = newgap; +/* L20: */ + } + sep[k] = oldgap; + } + if (sing) { + if (left && *m > *n || right && *m < *n) { + if (incr) { + sep[1] = min(sep[1],d__[1]); + } + if (decr) { +/* Computing MIN */ + d__1 = sep[k], d__2 = d__[k]; + sep[k] = min(d__1,d__2); + } + } + } + +/* Ensure that reciprocal condition numbers are not less than */ +/* threshold, in order to limit the size of the error bound */ + + eps = dlamch_("E"); + safmin = dlamch_("S"); +/* Computing MAX */ + d__2 = abs(d__[1]), d__3 = (d__1 = d__[k], abs(d__1)); + anorm = max(d__2,d__3); + if (anorm == 0.) { + thresh = eps; + } else { +/* Computing MAX */ + d__1 = eps * anorm; + thresh = max(d__1,safmin); + } + i__1 = k; + for (i__ = 1; i__ <= i__1; ++i__) { +/* Computing MAX */ + d__1 = sep[i__]; + sep[i__] = max(d__1,thresh); +/* L30: */ + } + + return 0; + +/* End of DDISNA */ + +} /* ddisna_ */ |