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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/sgehd2.c | |
parent | 01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff) | |
download | ydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz |
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/sgehd2.c')
-rw-r--r-- | contrib/libs/clapack/sgehd2.c | 190 |
1 files changed, 190 insertions, 0 deletions
diff --git a/contrib/libs/clapack/sgehd2.c b/contrib/libs/clapack/sgehd2.c new file mode 100644 index 0000000000..e7ba6947db --- /dev/null +++ b/contrib/libs/clapack/sgehd2.c @@ -0,0 +1,190 @@ +/* sgehd2.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 sgehd2_(integer *n, integer *ilo, integer *ihi, real *a, + integer *lda, real *tau, real *work, integer *info) +{ + /* System generated locals */ + integer a_dim1, a_offset, i__1, i__2, i__3; + + /* Local variables */ + integer i__; + real aii; + extern /* Subroutine */ int slarf_(char *, integer *, integer *, real *, + integer *, real *, real *, integer *, real *), 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 */ +/* ======= */ + +/* SGEHD2 reduces a real general matrix A to upper Hessenberg form H by */ +/* an orthogonal similarity transformation: Q' * A * Q = H . */ + +/* Arguments */ +/* ========= */ + +/* N (input) INTEGER */ +/* The order of the matrix A. N >= 0. */ + +/* ILO (input) INTEGER */ +/* IHI (input) INTEGER */ +/* It is assumed that A is already upper triangular in rows */ +/* and columns 1:ILO-1 and IHI+1:N. ILO and IHI are normally */ +/* set by a previous call to SGEBAL; otherwise they should be */ +/* set to 1 and N respectively. See Further Details. */ +/* 1 <= ILO <= IHI <= max(1,N). */ + +/* A (input/output) REAL array, dimension (LDA,N) */ +/* On entry, the n by n general matrix to be reduced. */ +/* On exit, the upper triangle and the first subdiagonal of A */ +/* are overwritten with the upper Hessenberg matrix H, 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. */ + +/* LDA (input) INTEGER */ +/* The leading dimension of the array A. LDA >= max(1,N). */ + +/* TAU (output) REAL array, dimension (N-1) */ +/* The scalar factors of the elementary reflectors (see Further */ +/* Details). */ + +/* WORK (workspace) REAL array, dimension (N) */ + +/* INFO (output) INTEGER */ +/* = 0: successful exit. */ +/* < 0: if INFO = -i, the i-th argument had an illegal value. */ + +/* Further Details */ +/* =============== */ + +/* The matrix Q is represented as a product of (ihi-ilo) elementary */ +/* reflectors */ + +/* Q = H(ilo) H(ilo+1) . . . H(ihi-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, v(i+1) = 1 and v(ihi+1:n) = 0; v(i+2:ihi) is stored on */ +/* exit in A(i+2:ihi,i), and tau in TAU(i). */ + +/* The contents of A are illustrated by the following example, with */ +/* n = 7, ilo = 2 and ihi = 6: */ + +/* on entry, on exit, */ + +/* ( a a a a a a a ) ( a a h h h h a ) */ +/* ( a a a a a a ) ( a h h h h a ) */ +/* ( a a a a a a ) ( h h h h h h ) */ +/* ( a a a a a a ) ( v2 h h h h h ) */ +/* ( a a a a a a ) ( v2 v3 h h h h ) */ +/* ( a a a a a a ) ( v2 v3 v4 h h h ) */ +/* ( a ) ( a ) */ + +/* where a denotes an element of the original matrix A, h denotes a */ +/* modified element of the upper Hessenberg matrix H, and vi denotes an */ +/* element of the vector defining H(i). */ + +/* ===================================================================== */ + +/* .. Parameters .. */ +/* .. */ +/* .. Local Scalars .. */ +/* .. */ +/* .. External Subroutines .. */ +/* .. */ +/* .. Intrinsic Functions .. */ +/* .. */ +/* .. Executable Statements .. */ + +/* Test the input parameters */ + + /* Parameter adjustments */ + a_dim1 = *lda; + a_offset = 1 + a_dim1; + a -= a_offset; + --tau; + --work; + + /* Function Body */ + *info = 0; + if (*n < 0) { + *info = -1; + } else if (*ilo < 1 || *ilo > max(1,*n)) { + *info = -2; + } else if (*ihi < min(*ilo,*n) || *ihi > *n) { + *info = -3; + } else if (*lda < max(1,*n)) { + *info = -5; + } + if (*info != 0) { + i__1 = -(*info); + xerbla_("SGEHD2", &i__1); + return 0; + } + + i__1 = *ihi - 1; + for (i__ = *ilo; i__ <= i__1; ++i__) { + +/* Compute elementary reflector H(i) to annihilate A(i+2:ihi,i) */ + + i__2 = *ihi - i__; +/* Computing MIN */ + i__3 = i__ + 2; + slarfg_(&i__2, &a[i__ + 1 + i__ * a_dim1], &a[min(i__3, *n)+ i__ * + a_dim1], &c__1, &tau[i__]); + aii = a[i__ + 1 + i__ * a_dim1]; + a[i__ + 1 + i__ * a_dim1] = 1.f; + +/* Apply H(i) to A(1:ihi,i+1:ihi) from the right */ + + i__2 = *ihi - i__; + slarf_("Right", ihi, &i__2, &a[i__ + 1 + i__ * a_dim1], &c__1, &tau[ + i__], &a[(i__ + 1) * a_dim1 + 1], lda, &work[1]); + +/* Apply H(i) to A(i+1:ihi,i+1:n) from the left */ + + i__2 = *ihi - i__; + i__3 = *n - i__; + slarf_("Left", &i__2, &i__3, &a[i__ + 1 + i__ * a_dim1], &c__1, &tau[ + i__], &a[i__ + 1 + (i__ + 1) * a_dim1], lda, &work[1]); + + a[i__ + 1 + i__ * a_dim1] = aii; +/* L10: */ + } + + return 0; + +/* End of SGEHD2 */ + +} /* sgehd2_ */ |