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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/zlatrz.c | |
parent | 01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff) | |
download | ydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz |
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/zlatrz.c')
-rw-r--r-- | contrib/libs/clapack/zlatrz.c | 181 |
1 files changed, 181 insertions, 0 deletions
diff --git a/contrib/libs/clapack/zlatrz.c b/contrib/libs/clapack/zlatrz.c new file mode 100644 index 0000000000..21b55c15bd --- /dev/null +++ b/contrib/libs/clapack/zlatrz.c @@ -0,0 +1,181 @@ +/* zlatrz.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 zlatrz_(integer *m, integer *n, integer *l, + doublecomplex *a, integer *lda, doublecomplex *tau, doublecomplex * + work) +{ + /* System generated locals */ + integer a_dim1, a_offset, i__1, i__2; + doublecomplex z__1; + + /* Builtin functions */ + void d_cnjg(doublecomplex *, doublecomplex *); + + /* Local variables */ + integer i__; + doublecomplex alpha; + extern /* Subroutine */ int zlarz_(char *, integer *, integer *, integer * +, doublecomplex *, integer *, doublecomplex *, doublecomplex *, + integer *, doublecomplex *), zlacgv_(integer *, + doublecomplex *, integer *), zlarfp_(integer *, doublecomplex *, + doublecomplex *, integer *, doublecomplex *); + + +/* -- LAPACK routine (version 3.2) -- */ +/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ +/* November 2006 */ + +/* .. Scalar Arguments .. */ +/* .. */ +/* .. Array Arguments .. */ +/* .. */ + +/* Purpose */ +/* ======= */ + +/* ZLATRZ factors the M-by-(M+L) complex upper trapezoidal matrix */ +/* [ A1 A2 ] = [ A(1:M,1:M) A(1:M,N-L+1:N) ] as ( R 0 ) * Z by means */ +/* of unitary transformations, where Z is an (M+L)-by-(M+L) unitary */ +/* matrix and, R and A1 are M-by-M upper triangular matrices. */ + +/* Arguments */ +/* ========= */ + +/* M (input) INTEGER */ +/* The number of rows of the matrix A. M >= 0. */ + +/* N (input) INTEGER */ +/* The number of columns of the matrix A. N >= 0. */ + +/* L (input) INTEGER */ +/* The number of columns of the matrix A containing the */ +/* meaningful part of the Householder vectors. N-M >= L >= 0. */ + +/* A (input/output) COMPLEX*16 array, dimension (LDA,N) */ +/* On entry, the leading M-by-N upper trapezoidal part of the */ +/* array A must contain the matrix to be factorized. */ +/* On exit, the leading M-by-M upper triangular part of A */ +/* contains the upper triangular matrix R, and elements N-L+1 to */ +/* N of the first M rows of A, with the array TAU, represent the */ +/* unitary matrix Z as a product of M elementary reflectors. */ + +/* LDA (input) INTEGER */ +/* The leading dimension of the array A. LDA >= max(1,M). */ + +/* TAU (output) COMPLEX*16 array, dimension (M) */ +/* The scalar factors of the elementary reflectors. */ + +/* WORK (workspace) COMPLEX*16 array, dimension (M) */ + +/* Further Details */ +/* =============== */ + +/* Based on contributions by */ +/* A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA */ + +/* The factorization is obtained by Householder's method. The kth */ +/* transformation matrix, Z( k ), which is used to introduce zeros into */ +/* the ( m - k + 1 )th row of A, is given in the form */ + +/* Z( k ) = ( I 0 ), */ +/* ( 0 T( k ) ) */ + +/* where */ + +/* T( k ) = I - tau*u( k )*u( k )', u( k ) = ( 1 ), */ +/* ( 0 ) */ +/* ( z( k ) ) */ + +/* tau is a scalar and z( k ) is an l element vector. tau and z( k ) */ +/* are chosen to annihilate the elements of the kth row of A2. */ + +/* The scalar tau is returned in the kth element of TAU and the vector */ +/* u( k ) in the kth row of A2, such that the elements of z( k ) are */ +/* in a( k, l + 1 ), ..., a( k, n ). The elements of R are returned in */ +/* the upper triangular part of A1. */ + +/* Z is given by */ + +/* Z = Z( 1 ) * Z( 2 ) * ... * Z( m ). */ + +/* ===================================================================== */ + +/* .. Parameters .. */ +/* .. */ +/* .. Local Scalars .. */ +/* .. */ +/* .. External Subroutines .. */ +/* .. */ +/* .. Intrinsic Functions .. */ +/* .. */ +/* .. Executable Statements .. */ + +/* Quick return if possible */ + + /* Parameter adjustments */ + a_dim1 = *lda; + a_offset = 1 + a_dim1; + a -= a_offset; + --tau; + --work; + + /* Function Body */ + if (*m == 0) { + return 0; + } else if (*m == *n) { + i__1 = *n; + for (i__ = 1; i__ <= i__1; ++i__) { + i__2 = i__; + tau[i__2].r = 0., tau[i__2].i = 0.; +/* L10: */ + } + return 0; + } + + for (i__ = *m; i__ >= 1; --i__) { + +/* Generate elementary reflector H(i) to annihilate */ +/* [ A(i,i) A(i,n-l+1:n) ] */ + + zlacgv_(l, &a[i__ + (*n - *l + 1) * a_dim1], lda); + d_cnjg(&z__1, &a[i__ + i__ * a_dim1]); + alpha.r = z__1.r, alpha.i = z__1.i; + i__1 = *l + 1; + zlarfp_(&i__1, &alpha, &a[i__ + (*n - *l + 1) * a_dim1], lda, &tau[ + i__]); + i__1 = i__; + d_cnjg(&z__1, &tau[i__]); + tau[i__1].r = z__1.r, tau[i__1].i = z__1.i; + +/* Apply H(i) to A(1:i-1,i:n) from the right */ + + i__1 = i__ - 1; + i__2 = *n - i__ + 1; + d_cnjg(&z__1, &tau[i__]); + zlarz_("Right", &i__1, &i__2, l, &a[i__ + (*n - *l + 1) * a_dim1], + lda, &z__1, &a[i__ * a_dim1 + 1], lda, &work[1]); + i__1 = i__ + i__ * a_dim1; + d_cnjg(&z__1, &alpha); + a[i__1].r = z__1.r, a[i__1].i = z__1.i; + +/* L20: */ + } + + return 0; + +/* End of ZLATRZ */ + +} /* zlatrz_ */ |