Add graph references
This commit is contained in:
Abdelrahman Said
+838
@@ -0,0 +1,838 @@
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/* -- translated by f2c (version 20240504).
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You must link the resulting object file with libf2c:
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on Microsoft Windows system, link with libf2c.lib;
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on Linux or Unix systems, link with .../path/to/libf2c.a -lm
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or, if you install libf2c.a in a standard place, with -lf2c -lm
|
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-- in that order, at the end of the command line, as in
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cc *.o -lf2c -lm
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Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,
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http://www.netlib.org/f2c/libf2c.zip
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*/
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#include "f2c.h"
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/* Table of constant values */
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static integer c__1 = 1;
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static doublereal c_b14 = 1.;
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static doublereal c_b25 = -1.;
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/* > \brief \b DLARFB applies a block reflector or its transpose to a general rectangular matrix.
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=========== DOCUMENTATION ===========
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Online html documentation available at
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http://www.netlib.org/lapack/explore-html/
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> \htmlonly
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> Download DLARFB + dependencies
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> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlarfb.
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f">
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> [TGZ]</a>
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> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlarfb.
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f">
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> [ZIP]</a>
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> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlarfb.
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f">
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> [TXT]</a>
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> \endhtmlonly
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Definition:
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===========
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SUBROUTINE DLARFB( SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV,
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T, LDT, C, LDC, WORK, LDWORK )
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CHARACTER DIRECT, SIDE, STOREV, TRANS
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INTEGER K, LDC, LDT, LDV, LDWORK, M, N
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DOUBLE PRECISION C( LDC, * ), T( LDT, * ), V( LDV, * ),
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$ WORK( LDWORK, * )
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> \par Purpose:
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=============
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>
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> \verbatim
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>
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> DLARFB applies a real block reflector H or its transpose H**T to a
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> real m by n matrix C, from either the left or the right.
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> \endverbatim
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Arguments:
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==========
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> \param[in] SIDE
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> \verbatim
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> SIDE is CHARACTER*1
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> = 'L': apply H or H**T from the Left
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> = 'R': apply H or H**T from the Right
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> \endverbatim
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>
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> \param[in] TRANS
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> \verbatim
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> TRANS is CHARACTER*1
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> = 'N': apply H (No transpose)
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> = 'T': apply H**T (Transpose)
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> \endverbatim
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>
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> \param[in] DIRECT
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> \verbatim
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> DIRECT is CHARACTER*1
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> Indicates how H is formed from a product of elementary
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> reflectors
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> = 'F': H = H(1) H(2) . . . H(k) (Forward)
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> = 'B': H = H(k) . . . H(2) H(1) (Backward)
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> \endverbatim
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>
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> \param[in] STOREV
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> \verbatim
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> STOREV is CHARACTER*1
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> Indicates how the vectors which define the elementary
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> reflectors are stored:
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> = 'C': Columnwise
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> = 'R': Rowwise
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> \endverbatim
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>
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> \param[in] M
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> \verbatim
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> M is INTEGER
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> The number of rows of the matrix C.
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> \endverbatim
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>
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> \param[in] N
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> \verbatim
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> N is INTEGER
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> The number of columns of the matrix C.
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> \endverbatim
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>
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> \param[in] K
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> \verbatim
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> K is INTEGER
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> The order of the matrix T (= the number of elementary
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> reflectors whose product defines the block reflector).
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> \endverbatim
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>
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> \param[in] V
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> \verbatim
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> V is DOUBLE PRECISION array, dimension
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> (LDV,K) if STOREV = 'C'
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> (LDV,M) if STOREV = 'R' and SIDE = 'L'
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> (LDV,N) if STOREV = 'R' and SIDE = 'R'
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> The matrix V. See Further Details.
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> \endverbatim
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>
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> \param[in] LDV
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> \verbatim
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> LDV is INTEGER
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> The leading dimension of the array V.
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> If STOREV = 'C' and SIDE = 'L', LDV >= max(1,M);
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> if STOREV = 'C' and SIDE = 'R', LDV >= max(1,N);
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> if STOREV = 'R', LDV >= K.
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> \endverbatim
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>
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> \param[in] T
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> \verbatim
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> T is DOUBLE PRECISION array, dimension (LDT,K)
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> The triangular k by k matrix T in the representation of the
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> block reflector.
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> \endverbatim
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>
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> \param[in] LDT
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> \verbatim
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> LDT is INTEGER
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> The leading dimension of the array T. LDT >= K.
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> \endverbatim
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>
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> \param[in,out] C
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> \verbatim
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> C is DOUBLE PRECISION array, dimension (LDC,N)
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> On entry, the m by n matrix C.
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> On exit, C is overwritten by H*C or H**T*C or C*H or C*H**T.
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> \endverbatim
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>
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> \param[in] LDC
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> \verbatim
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> LDC is INTEGER
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> The leading dimension of the array C. LDC >= max(1,M).
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> \endverbatim
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>
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> \param[out] WORK
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> \verbatim
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> WORK is DOUBLE PRECISION array, dimension (LDWORK,K)
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> \endverbatim
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>
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> \param[in] LDWORK
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> \verbatim
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> LDWORK is INTEGER
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> The leading dimension of the array WORK.
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> If SIDE = 'L', LDWORK >= max(1,N);
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> if SIDE = 'R', LDWORK >= max(1,M).
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> \endverbatim
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Authors:
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========
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> \author Univ. of Tennessee
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> \author Univ. of California Berkeley
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> \author Univ. of Colorado Denver
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> \author NAG Ltd.
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> \date June 2013
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> \ingroup doubleOTHERauxiliary
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> \par Further Details:
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=====================
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>
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> \verbatim
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>
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> The shape of the matrix V and the storage of the vectors which define
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> the H(i) is best illustrated by the following example with n = 5 and
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> k = 3. The elements equal to 1 are not stored; the corresponding
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> array elements are modified but restored on exit. The rest of the
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> array is not used.
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>
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> DIRECT = 'F' and STOREV = 'C': DIRECT = 'F' and STOREV = 'R':
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>
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> V = ( 1 ) V = ( 1 v1 v1 v1 v1 )
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> ( v1 1 ) ( 1 v2 v2 v2 )
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> ( v1 v2 1 ) ( 1 v3 v3 )
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> ( v1 v2 v3 )
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> ( v1 v2 v3 )
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>
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> DIRECT = 'B' and STOREV = 'C': DIRECT = 'B' and STOREV = 'R':
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>
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> V = ( v1 v2 v3 ) V = ( v1 v1 1 )
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> ( v1 v2 v3 ) ( v2 v2 v2 1 )
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> ( 1 v2 v3 ) ( v3 v3 v3 v3 1 )
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> ( 1 v3 )
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> ( 1 )
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> \endverbatim
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>
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=====================================================================
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Subroutine */ int igraphdlarfb_(char *side, char *trans, char *direct, char *
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storev, integer *m, integer *n, integer *k, doublereal *v, integer *
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ldv, doublereal *t, integer *ldt, doublereal *c__, integer *ldc,
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doublereal *work, integer *ldwork)
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{
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/* System generated locals */
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integer c_dim1, c_offset, t_dim1, t_offset, v_dim1, v_offset, work_dim1,
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work_offset, i__1, i__2;
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/* Local variables */
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integer i__, j;
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extern /* Subroutine */ int igraphdgemm_(char *, char *, integer *, integer *,
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integer *, doublereal *, doublereal *, integer *, doublereal *,
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integer *, doublereal *, doublereal *, integer *);
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extern logical igraphlsame_(char *, char *);
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extern /* Subroutine */ int igraphdcopy_(integer *, doublereal *, integer *,
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doublereal *, integer *), igraphdtrmm_(char *, char *, char *, char *,
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integer *, integer *, doublereal *, doublereal *, integer *,
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doublereal *, integer *);
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char transt[1];
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/* -- LAPACK auxiliary routine (version 3.5.0) --
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-- LAPACK is a software package provided by Univ. of Tennessee, --
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-- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
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June 2013
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=====================================================================
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Quick return if possible
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Parameter adjustments */
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v_dim1 = *ldv;
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v_offset = 1 + v_dim1;
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v -= v_offset;
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t_dim1 = *ldt;
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t_offset = 1 + t_dim1;
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t -= t_offset;
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c_dim1 = *ldc;
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c_offset = 1 + c_dim1;
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c__ -= c_offset;
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work_dim1 = *ldwork;
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work_offset = 1 + work_dim1;
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work -= work_offset;
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/* Function Body */
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if (*m <= 0 || *n <= 0) {
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return 0;
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}
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if (igraphlsame_(trans, "N")) {
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*(unsigned char *)transt = 'T';
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} else {
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*(unsigned char *)transt = 'N';
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}
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if (igraphlsame_(storev, "C")) {
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if (igraphlsame_(direct, "F")) {
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/* Let V = ( V1 ) (first K rows)
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( V2 )
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where V1 is unit lower triangular. */
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if (igraphlsame_(side, "L")) {
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/* Form H * C or H**T * C where C = ( C1 )
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( C2 )
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W := C**T * V = (C1**T * V1 + C2**T * V2) (stored in WORK)
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W := C1**T */
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i__1 = *k;
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for (j = 1; j <= i__1; ++j) {
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igraphdcopy_(n, &c__[j + c_dim1], ldc, &work[j * work_dim1 + 1],
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&c__1);
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/* L10: */
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}
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/* W := W * V1 */
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igraphdtrmm_("Right", "Lower", "No transpose", "Unit", n, k, &c_b14,
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&v[v_offset], ldv, &work[work_offset], ldwork);
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if (*m > *k) {
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/* W := W + C2**T * V2 */
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i__1 = *m - *k;
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igraphdgemm_("Transpose", "No transpose", n, k, &i__1, &c_b14, &
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c__[*k + 1 + c_dim1], ldc, &v[*k + 1 + v_dim1],
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||||
ldv, &c_b14, &work[work_offset], ldwork);
|
||||
}
|
||||
|
||||
/* W := W * T**T or W * T */
|
||||
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igraphdtrmm_("Right", "Upper", transt, "Non-unit", n, k, &c_b14, &t[
|
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t_offset], ldt, &work[work_offset], ldwork);
|
||||
|
||||
/* C := C - V * W**T */
|
||||
|
||||
if (*m > *k) {
|
||||
|
||||
/* C2 := C2 - V2 * W**T */
|
||||
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i__1 = *m - *k;
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igraphdgemm_("No transpose", "Transpose", &i__1, n, k, &c_b25, &
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||||
v[*k + 1 + v_dim1], ldv, &work[work_offset],
|
||||
ldwork, &c_b14, &c__[*k + 1 + c_dim1], ldc);
|
||||
}
|
||||
|
||||
/* W := W * V1**T */
|
||||
|
||||
igraphdtrmm_("Right", "Lower", "Transpose", "Unit", n, k, &c_b14, &
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||||
v[v_offset], ldv, &work[work_offset], ldwork);
|
||||
|
||||
/* C1 := C1 - W**T */
|
||||
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||||
i__1 = *k;
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for (j = 1; j <= i__1; ++j) {
|
||||
i__2 = *n;
|
||||
for (i__ = 1; i__ <= i__2; ++i__) {
|
||||
c__[j + i__ * c_dim1] -= work[i__ + j * work_dim1];
|
||||
/* L20: */
|
||||
}
|
||||
/* L30: */
|
||||
}
|
||||
|
||||
} else if (igraphlsame_(side, "R")) {
|
||||
|
||||
/* Form C * H or C * H**T where C = ( C1 C2 )
|
||||
|
||||
W := C * V = (C1*V1 + C2*V2) (stored in WORK)
|
||||
|
||||
W := C1 */
|
||||
|
||||
i__1 = *k;
|
||||
for (j = 1; j <= i__1; ++j) {
|
||||
igraphdcopy_(m, &c__[j * c_dim1 + 1], &c__1, &work[j *
|
||||
work_dim1 + 1], &c__1);
|
||||
/* L40: */
|
||||
}
|
||||
|
||||
/* W := W * V1 */
|
||||
|
||||
igraphdtrmm_("Right", "Lower", "No transpose", "Unit", m, k, &c_b14,
|
||||
&v[v_offset], ldv, &work[work_offset], ldwork);
|
||||
if (*n > *k) {
|
||||
|
||||
/* W := W + C2 * V2 */
|
||||
|
||||
i__1 = *n - *k;
|
||||
igraphdgemm_("No transpose", "No transpose", m, k, &i__1, &
|
||||
c_b14, &c__[(*k + 1) * c_dim1 + 1], ldc, &v[*k +
|
||||
1 + v_dim1], ldv, &c_b14, &work[work_offset],
|
||||
ldwork);
|
||||
}
|
||||
|
||||
/* W := W * T or W * T**T */
|
||||
|
||||
igraphdtrmm_("Right", "Upper", trans, "Non-unit", m, k, &c_b14, &t[
|
||||
t_offset], ldt, &work[work_offset], ldwork);
|
||||
|
||||
/* C := C - W * V**T */
|
||||
|
||||
if (*n > *k) {
|
||||
|
||||
/* C2 := C2 - W * V2**T */
|
||||
|
||||
i__1 = *n - *k;
|
||||
igraphdgemm_("No transpose", "Transpose", m, &i__1, k, &c_b25, &
|
||||
work[work_offset], ldwork, &v[*k + 1 + v_dim1],
|
||||
ldv, &c_b14, &c__[(*k + 1) * c_dim1 + 1], ldc);
|
||||
}
|
||||
|
||||
/* W := W * V1**T */
|
||||
|
||||
igraphdtrmm_("Right", "Lower", "Transpose", "Unit", m, k, &c_b14, &
|
||||
v[v_offset], ldv, &work[work_offset], ldwork);
|
||||
|
||||
/* C1 := C1 - W */
|
||||
|
||||
i__1 = *k;
|
||||
for (j = 1; j <= i__1; ++j) {
|
||||
i__2 = *m;
|
||||
for (i__ = 1; i__ <= i__2; ++i__) {
|
||||
c__[i__ + j * c_dim1] -= work[i__ + j * work_dim1];
|
||||
/* L50: */
|
||||
}
|
||||
/* L60: */
|
||||
}
|
||||
}
|
||||
|
||||
} else {
|
||||
|
||||
/* Let V = ( V1 )
|
||||
( V2 ) (last K rows)
|
||||
where V2 is unit upper triangular. */
|
||||
|
||||
if (igraphlsame_(side, "L")) {
|
||||
|
||||
/* Form H * C or H**T * C where C = ( C1 )
|
||||
( C2 )
|
||||
|
||||
W := C**T * V = (C1**T * V1 + C2**T * V2) (stored in WORK)
|
||||
|
||||
W := C2**T */
|
||||
|
||||
i__1 = *k;
|
||||
for (j = 1; j <= i__1; ++j) {
|
||||
igraphdcopy_(n, &c__[*m - *k + j + c_dim1], ldc, &work[j *
|
||||
work_dim1 + 1], &c__1);
|
||||
/* L70: */
|
||||
}
|
||||
|
||||
/* W := W * V2 */
|
||||
|
||||
igraphdtrmm_("Right", "Upper", "No transpose", "Unit", n, k, &c_b14,
|
||||
&v[*m - *k + 1 + v_dim1], ldv, &work[work_offset],
|
||||
ldwork);
|
||||
if (*m > *k) {
|
||||
|
||||
/* W := W + C1**T * V1 */
|
||||
|
||||
i__1 = *m - *k;
|
||||
igraphdgemm_("Transpose", "No transpose", n, k, &i__1, &c_b14, &
|
||||
c__[c_offset], ldc, &v[v_offset], ldv, &c_b14, &
|
||||
work[work_offset], ldwork);
|
||||
}
|
||||
|
||||
/* W := W * T**T or W * T */
|
||||
|
||||
igraphdtrmm_("Right", "Lower", transt, "Non-unit", n, k, &c_b14, &t[
|
||||
t_offset], ldt, &work[work_offset], ldwork);
|
||||
|
||||
/* C := C - V * W**T */
|
||||
|
||||
if (*m > *k) {
|
||||
|
||||
/* C1 := C1 - V1 * W**T */
|
||||
|
||||
i__1 = *m - *k;
|
||||
igraphdgemm_("No transpose", "Transpose", &i__1, n, k, &c_b25, &
|
||||
v[v_offset], ldv, &work[work_offset], ldwork, &
|
||||
c_b14, &c__[c_offset], ldc)
|
||||
;
|
||||
}
|
||||
|
||||
/* W := W * V2**T */
|
||||
|
||||
igraphdtrmm_("Right", "Upper", "Transpose", "Unit", n, k, &c_b14, &
|
||||
v[*m - *k + 1 + v_dim1], ldv, &work[work_offset],
|
||||
ldwork);
|
||||
|
||||
/* C2 := C2 - W**T */
|
||||
|
||||
i__1 = *k;
|
||||
for (j = 1; j <= i__1; ++j) {
|
||||
i__2 = *n;
|
||||
for (i__ = 1; i__ <= i__2; ++i__) {
|
||||
c__[*m - *k + j + i__ * c_dim1] -= work[i__ + j *
|
||||
work_dim1];
|
||||
/* L80: */
|
||||
}
|
||||
/* L90: */
|
||||
}
|
||||
|
||||
} else if (igraphlsame_(side, "R")) {
|
||||
|
||||
/* Form C * H or C * H**T where C = ( C1 C2 )
|
||||
|
||||
W := C * V = (C1*V1 + C2*V2) (stored in WORK)
|
||||
|
||||
W := C2 */
|
||||
|
||||
i__1 = *k;
|
||||
for (j = 1; j <= i__1; ++j) {
|
||||
igraphdcopy_(m, &c__[(*n - *k + j) * c_dim1 + 1], &c__1, &work[
|
||||
j * work_dim1 + 1], &c__1);
|
||||
/* L100: */
|
||||
}
|
||||
|
||||
/* W := W * V2 */
|
||||
|
||||
igraphdtrmm_("Right", "Upper", "No transpose", "Unit", m, k, &c_b14,
|
||||
&v[*n - *k + 1 + v_dim1], ldv, &work[work_offset],
|
||||
ldwork);
|
||||
if (*n > *k) {
|
||||
|
||||
/* W := W + C1 * V1 */
|
||||
|
||||
i__1 = *n - *k;
|
||||
igraphdgemm_("No transpose", "No transpose", m, k, &i__1, &
|
||||
c_b14, &c__[c_offset], ldc, &v[v_offset], ldv, &
|
||||
c_b14, &work[work_offset], ldwork);
|
||||
}
|
||||
|
||||
/* W := W * T or W * T**T */
|
||||
|
||||
igraphdtrmm_("Right", "Lower", trans, "Non-unit", m, k, &c_b14, &t[
|
||||
t_offset], ldt, &work[work_offset], ldwork);
|
||||
|
||||
/* C := C - W * V**T */
|
||||
|
||||
if (*n > *k) {
|
||||
|
||||
/* C1 := C1 - W * V1**T */
|
||||
|
||||
i__1 = *n - *k;
|
||||
igraphdgemm_("No transpose", "Transpose", m, &i__1, k, &c_b25, &
|
||||
work[work_offset], ldwork, &v[v_offset], ldv, &
|
||||
c_b14, &c__[c_offset], ldc)
|
||||
;
|
||||
}
|
||||
|
||||
/* W := W * V2**T */
|
||||
|
||||
igraphdtrmm_("Right", "Upper", "Transpose", "Unit", m, k, &c_b14, &
|
||||
v[*n - *k + 1 + v_dim1], ldv, &work[work_offset],
|
||||
ldwork);
|
||||
|
||||
/* C2 := C2 - W */
|
||||
|
||||
i__1 = *k;
|
||||
for (j = 1; j <= i__1; ++j) {
|
||||
i__2 = *m;
|
||||
for (i__ = 1; i__ <= i__2; ++i__) {
|
||||
c__[i__ + (*n - *k + j) * c_dim1] -= work[i__ + j *
|
||||
work_dim1];
|
||||
/* L110: */
|
||||
}
|
||||
/* L120: */
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
} else if (igraphlsame_(storev, "R")) {
|
||||
|
||||
if (igraphlsame_(direct, "F")) {
|
||||
|
||||
/* Let V = ( V1 V2 ) (V1: first K columns)
|
||||
where V1 is unit upper triangular. */
|
||||
|
||||
if (igraphlsame_(side, "L")) {
|
||||
|
||||
/* Form H * C or H**T * C where C = ( C1 )
|
||||
( C2 )
|
||||
|
||||
W := C**T * V**T = (C1**T * V1**T + C2**T * V2**T) (stored in WORK)
|
||||
|
||||
W := C1**T */
|
||||
|
||||
i__1 = *k;
|
||||
for (j = 1; j <= i__1; ++j) {
|
||||
igraphdcopy_(n, &c__[j + c_dim1], ldc, &work[j * work_dim1 + 1],
|
||||
&c__1);
|
||||
/* L130: */
|
||||
}
|
||||
|
||||
/* W := W * V1**T */
|
||||
|
||||
igraphdtrmm_("Right", "Upper", "Transpose", "Unit", n, k, &c_b14, &
|
||||
v[v_offset], ldv, &work[work_offset], ldwork);
|
||||
if (*m > *k) {
|
||||
|
||||
/* W := W + C2**T * V2**T */
|
||||
|
||||
i__1 = *m - *k;
|
||||
igraphdgemm_("Transpose", "Transpose", n, k, &i__1, &c_b14, &
|
||||
c__[*k + 1 + c_dim1], ldc, &v[(*k + 1) * v_dim1 +
|
||||
1], ldv, &c_b14, &work[work_offset], ldwork);
|
||||
}
|
||||
|
||||
/* W := W * T**T or W * T */
|
||||
|
||||
igraphdtrmm_("Right", "Upper", transt, "Non-unit", n, k, &c_b14, &t[
|
||||
t_offset], ldt, &work[work_offset], ldwork);
|
||||
|
||||
/* C := C - V**T * W**T */
|
||||
|
||||
if (*m > *k) {
|
||||
|
||||
/* C2 := C2 - V2**T * W**T */
|
||||
|
||||
i__1 = *m - *k;
|
||||
igraphdgemm_("Transpose", "Transpose", &i__1, n, k, &c_b25, &v[(
|
||||
*k + 1) * v_dim1 + 1], ldv, &work[work_offset],
|
||||
ldwork, &c_b14, &c__[*k + 1 + c_dim1], ldc);
|
||||
}
|
||||
|
||||
/* W := W * V1 */
|
||||
|
||||
igraphdtrmm_("Right", "Upper", "No transpose", "Unit", n, k, &c_b14,
|
||||
&v[v_offset], ldv, &work[work_offset], ldwork);
|
||||
|
||||
/* C1 := C1 - W**T */
|
||||
|
||||
i__1 = *k;
|
||||
for (j = 1; j <= i__1; ++j) {
|
||||
i__2 = *n;
|
||||
for (i__ = 1; i__ <= i__2; ++i__) {
|
||||
c__[j + i__ * c_dim1] -= work[i__ + j * work_dim1];
|
||||
/* L140: */
|
||||
}
|
||||
/* L150: */
|
||||
}
|
||||
|
||||
} else if (igraphlsame_(side, "R")) {
|
||||
|
||||
/* Form C * H or C * H**T where C = ( C1 C2 )
|
||||
|
||||
W := C * V**T = (C1*V1**T + C2*V2**T) (stored in WORK)
|
||||
|
||||
W := C1 */
|
||||
|
||||
i__1 = *k;
|
||||
for (j = 1; j <= i__1; ++j) {
|
||||
igraphdcopy_(m, &c__[j * c_dim1 + 1], &c__1, &work[j *
|
||||
work_dim1 + 1], &c__1);
|
||||
/* L160: */
|
||||
}
|
||||
|
||||
/* W := W * V1**T */
|
||||
|
||||
igraphdtrmm_("Right", "Upper", "Transpose", "Unit", m, k, &c_b14, &
|
||||
v[v_offset], ldv, &work[work_offset], ldwork);
|
||||
if (*n > *k) {
|
||||
|
||||
/* W := W + C2 * V2**T */
|
||||
|
||||
i__1 = *n - *k;
|
||||
igraphdgemm_("No transpose", "Transpose", m, k, &i__1, &c_b14, &
|
||||
c__[(*k + 1) * c_dim1 + 1], ldc, &v[(*k + 1) *
|
||||
v_dim1 + 1], ldv, &c_b14, &work[work_offset],
|
||||
ldwork);
|
||||
}
|
||||
|
||||
/* W := W * T or W * T**T */
|
||||
|
||||
igraphdtrmm_("Right", "Upper", trans, "Non-unit", m, k, &c_b14, &t[
|
||||
t_offset], ldt, &work[work_offset], ldwork);
|
||||
|
||||
/* C := C - W * V */
|
||||
|
||||
if (*n > *k) {
|
||||
|
||||
/* C2 := C2 - W * V2 */
|
||||
|
||||
i__1 = *n - *k;
|
||||
igraphdgemm_("No transpose", "No transpose", m, &i__1, k, &
|
||||
c_b25, &work[work_offset], ldwork, &v[(*k + 1) *
|
||||
v_dim1 + 1], ldv, &c_b14, &c__[(*k + 1) * c_dim1
|
||||
+ 1], ldc);
|
||||
}
|
||||
|
||||
/* W := W * V1 */
|
||||
|
||||
igraphdtrmm_("Right", "Upper", "No transpose", "Unit", m, k, &c_b14,
|
||||
&v[v_offset], ldv, &work[work_offset], ldwork);
|
||||
|
||||
/* C1 := C1 - W */
|
||||
|
||||
i__1 = *k;
|
||||
for (j = 1; j <= i__1; ++j) {
|
||||
i__2 = *m;
|
||||
for (i__ = 1; i__ <= i__2; ++i__) {
|
||||
c__[i__ + j * c_dim1] -= work[i__ + j * work_dim1];
|
||||
/* L170: */
|
||||
}
|
||||
/* L180: */
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
} else {
|
||||
|
||||
/* Let V = ( V1 V2 ) (V2: last K columns)
|
||||
where V2 is unit lower triangular. */
|
||||
|
||||
if (igraphlsame_(side, "L")) {
|
||||
|
||||
/* Form H * C or H**T * C where C = ( C1 )
|
||||
( C2 )
|
||||
|
||||
W := C**T * V**T = (C1**T * V1**T + C2**T * V2**T) (stored in WORK)
|
||||
|
||||
W := C2**T */
|
||||
|
||||
i__1 = *k;
|
||||
for (j = 1; j <= i__1; ++j) {
|
||||
igraphdcopy_(n, &c__[*m - *k + j + c_dim1], ldc, &work[j *
|
||||
work_dim1 + 1], &c__1);
|
||||
/* L190: */
|
||||
}
|
||||
|
||||
/* W := W * V2**T */
|
||||
|
||||
igraphdtrmm_("Right", "Lower", "Transpose", "Unit", n, k, &c_b14, &
|
||||
v[(*m - *k + 1) * v_dim1 + 1], ldv, &work[work_offset]
|
||||
, ldwork);
|
||||
if (*m > *k) {
|
||||
|
||||
/* W := W + C1**T * V1**T */
|
||||
|
||||
i__1 = *m - *k;
|
||||
igraphdgemm_("Transpose", "Transpose", n, k, &i__1, &c_b14, &
|
||||
c__[c_offset], ldc, &v[v_offset], ldv, &c_b14, &
|
||||
work[work_offset], ldwork);
|
||||
}
|
||||
|
||||
/* W := W * T**T or W * T */
|
||||
|
||||
igraphdtrmm_("Right", "Lower", transt, "Non-unit", n, k, &c_b14, &t[
|
||||
t_offset], ldt, &work[work_offset], ldwork);
|
||||
|
||||
/* C := C - V**T * W**T */
|
||||
|
||||
if (*m > *k) {
|
||||
|
||||
/* C1 := C1 - V1**T * W**T */
|
||||
|
||||
i__1 = *m - *k;
|
||||
igraphdgemm_("Transpose", "Transpose", &i__1, n, k, &c_b25, &v[
|
||||
v_offset], ldv, &work[work_offset], ldwork, &
|
||||
c_b14, &c__[c_offset], ldc);
|
||||
}
|
||||
|
||||
/* W := W * V2 */
|
||||
|
||||
igraphdtrmm_("Right", "Lower", "No transpose", "Unit", n, k, &c_b14,
|
||||
&v[(*m - *k + 1) * v_dim1 + 1], ldv, &work[
|
||||
work_offset], ldwork);
|
||||
|
||||
/* C2 := C2 - W**T */
|
||||
|
||||
i__1 = *k;
|
||||
for (j = 1; j <= i__1; ++j) {
|
||||
i__2 = *n;
|
||||
for (i__ = 1; i__ <= i__2; ++i__) {
|
||||
c__[*m - *k + j + i__ * c_dim1] -= work[i__ + j *
|
||||
work_dim1];
|
||||
/* L200: */
|
||||
}
|
||||
/* L210: */
|
||||
}
|
||||
|
||||
} else if (igraphlsame_(side, "R")) {
|
||||
|
||||
/* Form C * H or C * H' where C = ( C1 C2 )
|
||||
|
||||
W := C * V**T = (C1*V1**T + C2*V2**T) (stored in WORK)
|
||||
|
||||
W := C2 */
|
||||
|
||||
i__1 = *k;
|
||||
for (j = 1; j <= i__1; ++j) {
|
||||
igraphdcopy_(m, &c__[(*n - *k + j) * c_dim1 + 1], &c__1, &work[
|
||||
j * work_dim1 + 1], &c__1);
|
||||
/* L220: */
|
||||
}
|
||||
|
||||
/* W := W * V2**T */
|
||||
|
||||
igraphdtrmm_("Right", "Lower", "Transpose", "Unit", m, k, &c_b14, &
|
||||
v[(*n - *k + 1) * v_dim1 + 1], ldv, &work[work_offset]
|
||||
, ldwork);
|
||||
if (*n > *k) {
|
||||
|
||||
/* W := W + C1 * V1**T */
|
||||
|
||||
i__1 = *n - *k;
|
||||
igraphdgemm_("No transpose", "Transpose", m, k, &i__1, &c_b14, &
|
||||
c__[c_offset], ldc, &v[v_offset], ldv, &c_b14, &
|
||||
work[work_offset], ldwork);
|
||||
}
|
||||
|
||||
/* W := W * T or W * T**T */
|
||||
|
||||
igraphdtrmm_("Right", "Lower", trans, "Non-unit", m, k, &c_b14, &t[
|
||||
t_offset], ldt, &work[work_offset], ldwork);
|
||||
|
||||
/* C := C - W * V */
|
||||
|
||||
if (*n > *k) {
|
||||
|
||||
/* C1 := C1 - W * V1 */
|
||||
|
||||
i__1 = *n - *k;
|
||||
igraphdgemm_("No transpose", "No transpose", m, &i__1, k, &
|
||||
c_b25, &work[work_offset], ldwork, &v[v_offset],
|
||||
ldv, &c_b14, &c__[c_offset], ldc);
|
||||
}
|
||||
|
||||
/* W := W * V2 */
|
||||
|
||||
igraphdtrmm_("Right", "Lower", "No transpose", "Unit", m, k, &c_b14,
|
||||
&v[(*n - *k + 1) * v_dim1 + 1], ldv, &work[
|
||||
work_offset], ldwork);
|
||||
|
||||
/* C1 := C1 - W */
|
||||
|
||||
i__1 = *k;
|
||||
for (j = 1; j <= i__1; ++j) {
|
||||
i__2 = *m;
|
||||
for (i__ = 1; i__ <= i__2; ++i__) {
|
||||
c__[i__ + (*n - *k + j) * c_dim1] -= work[i__ + j *
|
||||
work_dim1];
|
||||
/* L230: */
|
||||
}
|
||||
/* L240: */
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
}
|
||||
}
|
||||
|
||||
return 0;
|
||||
|
||||
/* End of DLARFB */
|
||||
|
||||
} /* igraphdlarfb_ */
|
||||
|
||||
Reference in New Issue
Block a user