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hypre/lapack/dlasr.c
falgout e3181f26b1 Added 64 bit feature using HYPRE_Int (see tracker [issue489] for details). 
Changed MPI routines to hypre_MPI routines.
Added hypre_printf, etc. routines.
Added AUTOTEST tests to look for 'int' and 'MPI_' calls.
Added a new approach for the Fortran interface (not implemented everywhere yet).
2010-12-20 19:27:44 +00:00

396 lines
10 KiB
C
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#include "hypre_lapack.h"
#include "f2c.h"
/* Subroutine */ HYPRE_Int dlasr_(char *side, char *pivot, char *direct, integer *m,
integer *n, doublereal *c__, doublereal *s, doublereal *a, integer *
lda)
{
/* -- LAPACK auxiliary routine (version 3.0) --
Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
Courant Institute, Argonne National Lab, and Rice University
October 31, 1992
Purpose
=======
DLASR performs the transformation
A := P*A, when SIDE = 'L' or 'l' ( Left-hand side )
A := A*P', when SIDE = 'R' or 'r' ( Right-hand side )
where A is an m by n real matrix and P is an orthogonal matrix,
consisting of a sequence of plane rotations determined by the
parameters PIVOT and DIRECT as follows ( z = m when SIDE = 'L' or 'l'
and z = n when SIDE = 'R' or 'r' ):
When DIRECT = 'F' or 'f' ( Forward sequence ) then
P = P( z - 1 )*...*P( 2 )*P( 1 ),
and when DIRECT = 'B' or 'b' ( Backward sequence ) then
P = P( 1 )*P( 2 )*...*P( z - 1 ),
where P( k ) is a plane rotation matrix for the following planes:
when PIVOT = 'V' or 'v' ( Variable pivot ),
the plane ( k, k + 1 )
when PIVOT = 'T' or 't' ( Top pivot ),
the plane ( 1, k + 1 )
when PIVOT = 'B' or 'b' ( Bottom pivot ),
the plane ( k, z )
c( k ) and s( k ) must contain the cosine and sine that define the
matrix P( k ). The two by two plane rotation part of the matrix
P( k ), R( k ), is assumed to be of the form
R( k ) = ( c( k ) s( k ) ).
( -s( k ) c( k ) )
This version vectorises across rows of the array A when SIDE = 'L'.
Arguments
=========
SIDE (input) CHARACTER*1
Specifies whether the plane rotation matrix P is applied to
A on the left or the right.
= 'L': Left, compute A := P*A
= 'R': Right, compute A:= A*P'
DIRECT (input) CHARACTER*1
Specifies whether P is a forward or backward sequence of
plane rotations.
= 'F': Forward, P = P( z - 1 )*...*P( 2 )*P( 1 )
= 'B': Backward, P = P( 1 )*P( 2 )*...*P( z - 1 )
PIVOT (input) CHARACTER*1
Specifies the plane for which P(k) is a plane rotation
matrix.
= 'V': Variable pivot, the plane (k,k+1)
= 'T': Top pivot, the plane (1,k+1)
= 'B': Bottom pivot, the plane (k,z)
M (input) INTEGER
The number of rows of the matrix A. If m <= 1, an immediate
return is effected.
N (input) INTEGER
The number of columns of the matrix A. If n <= 1, an
immediate return is effected.
C, S (input) DOUBLE PRECISION arrays, dimension
(M-1) if SIDE = 'L'
(N-1) if SIDE = 'R'
c(k) and s(k) contain the cosine and sine that define the
matrix P(k). The two by two plane rotation part of the
matrix P(k), R(k), is assumed to be of the form
R( k ) = ( c( k ) s( k ) ).
( -s( k ) c( k ) )
A (input/output) DOUBLE PRECISION array, dimension (LDA,N)
The m by n matrix A. On exit, A is overwritten by P*A if
SIDE = 'R' or by A*P' if SIDE = 'L'.
LDA (input) INTEGER
The leading dimension of the array A. LDA >= max(1,M).
=====================================================================
Test the input parameters
Parameter adjustments */
/* System generated locals */
integer a_dim1, a_offset, i__1, i__2;
/* Local variables */
static integer info;
static doublereal temp;
static integer i__, j;
extern logical lsame_(char *, char *);
static doublereal ctemp, stemp;
extern /* Subroutine */ HYPRE_Int xerbla_(char *, integer *);
#define a_ref(a_1,a_2) a[(a_2)*a_dim1 + a_1]
--c__;
--s;
a_dim1 = *lda;
a_offset = 1 + a_dim1 * 1;
a -= a_offset;
/* Function Body */
info = 0;
if (! (lsame_(side, "L") || lsame_(side, "R"))) {
info = 1;
} else if (! (lsame_(pivot, "V") || lsame_(pivot,
"T") || lsame_(pivot, "B"))) {
info = 2;
} else if (! (lsame_(direct, "F") || lsame_(direct,
"B"))) {
info = 3;
} else if (*m < 0) {
info = 4;
} else if (*n < 0) {
info = 5;
} else if (*lda < max(1,*m)) {
info = 9;
}
if (info != 0) {
xerbla_("DLASR ", &info);
return 0;
}
/* Quick return if possible */
if (*m == 0 || *n == 0) {
return 0;
}
if (lsame_(side, "L")) {
/* Form P * A */
if (lsame_(pivot, "V")) {
if (lsame_(direct, "F")) {
i__1 = *m - 1;
for (j = 1; j <= i__1; ++j) {
ctemp = c__[j];
stemp = s[j];
if (ctemp != 1. || stemp != 0.) {
i__2 = *n;
for (i__ = 1; i__ <= i__2; ++i__) {
temp = a_ref(j + 1, i__);
a_ref(j + 1, i__) = ctemp * temp - stemp * a_ref(
j, i__);
a_ref(j, i__) = stemp * temp + ctemp * a_ref(j,
i__);
/* L10: */
}
}
/* L20: */
}
} else if (lsame_(direct, "B")) {
for (j = *m - 1; j >= 1; --j) {
ctemp = c__[j];
stemp = s[j];
if (ctemp != 1. || stemp != 0.) {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
temp = a_ref(j + 1, i__);
a_ref(j + 1, i__) = ctemp * temp - stemp * a_ref(
j, i__);
a_ref(j, i__) = stemp * temp + ctemp * a_ref(j,
i__);
/* L30: */
}
}
/* L40: */
}
}
} else if (lsame_(pivot, "T")) {
if (lsame_(direct, "F")) {
i__1 = *m;
for (j = 2; j <= i__1; ++j) {
ctemp = c__[j - 1];
stemp = s[j - 1];
if (ctemp != 1. || stemp != 0.) {
i__2 = *n;
for (i__ = 1; i__ <= i__2; ++i__) {
temp = a_ref(j, i__);
a_ref(j, i__) = ctemp * temp - stemp * a_ref(1,
i__);
a_ref(1, i__) = stemp * temp + ctemp * a_ref(1,
i__);
/* L50: */
}
}
/* L60: */
}
} else if (lsame_(direct, "B")) {
for (j = *m; j >= 2; --j) {
ctemp = c__[j - 1];
stemp = s[j - 1];
if (ctemp != 1. || stemp != 0.) {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
temp = a_ref(j, i__);
a_ref(j, i__) = ctemp * temp - stemp * a_ref(1,
i__);
a_ref(1, i__) = stemp * temp + ctemp * a_ref(1,
i__);
/* L70: */
}
}
/* L80: */
}
}
} else if (lsame_(pivot, "B")) {
if (lsame_(direct, "F")) {
i__1 = *m - 1;
for (j = 1; j <= i__1; ++j) {
ctemp = c__[j];
stemp = s[j];
if (ctemp != 1. || stemp != 0.) {
i__2 = *n;
for (i__ = 1; i__ <= i__2; ++i__) {
temp = a_ref(j, i__);
a_ref(j, i__) = stemp * a_ref(*m, i__) + ctemp *
temp;
a_ref(*m, i__) = ctemp * a_ref(*m, i__) - stemp *
temp;
/* L90: */
}
}
/* L100: */
}
} else if (lsame_(direct, "B")) {
for (j = *m - 1; j >= 1; --j) {
ctemp = c__[j];
stemp = s[j];
if (ctemp != 1. || stemp != 0.) {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
temp = a_ref(j, i__);
a_ref(j, i__) = stemp * a_ref(*m, i__) + ctemp *
temp;
a_ref(*m, i__) = ctemp * a_ref(*m, i__) - stemp *
temp;
/* L110: */
}
}
/* L120: */
}
}
}
} else if (lsame_(side, "R")) {
/* Form A * P' */
if (lsame_(pivot, "V")) {
if (lsame_(direct, "F")) {
i__1 = *n - 1;
for (j = 1; j <= i__1; ++j) {
ctemp = c__[j];
stemp = s[j];
if (ctemp != 1. || stemp != 0.) {
i__2 = *m;
for (i__ = 1; i__ <= i__2; ++i__) {
temp = a_ref(i__, j + 1);
a_ref(i__, j + 1) = ctemp * temp - stemp * a_ref(
i__, j);
a_ref(i__, j) = stemp * temp + ctemp * a_ref(i__,
j);
/* L130: */
}
}
/* L140: */
}
} else if (lsame_(direct, "B")) {
for (j = *n - 1; j >= 1; --j) {
ctemp = c__[j];
stemp = s[j];
if (ctemp != 1. || stemp != 0.) {
i__1 = *m;
for (i__ = 1; i__ <= i__1; ++i__) {
temp = a_ref(i__, j + 1);
a_ref(i__, j + 1) = ctemp * temp - stemp * a_ref(
i__, j);
a_ref(i__, j) = stemp * temp + ctemp * a_ref(i__,
j);
/* L150: */
}
}
/* L160: */
}
}
} else if (lsame_(pivot, "T")) {
if (lsame_(direct, "F")) {
i__1 = *n;
for (j = 2; j <= i__1; ++j) {
ctemp = c__[j - 1];
stemp = s[j - 1];
if (ctemp != 1. || stemp != 0.) {
i__2 = *m;
for (i__ = 1; i__ <= i__2; ++i__) {
temp = a_ref(i__, j);
a_ref(i__, j) = ctemp * temp - stemp * a_ref(i__,
1);
a_ref(i__, 1) = stemp * temp + ctemp * a_ref(i__,
1);
/* L170: */
}
}
/* L180: */
}
} else if (lsame_(direct, "B")) {
for (j = *n; j >= 2; --j) {
ctemp = c__[j - 1];
stemp = s[j - 1];
if (ctemp != 1. || stemp != 0.) {
i__1 = *m;
for (i__ = 1; i__ <= i__1; ++i__) {
temp = a_ref(i__, j);
a_ref(i__, j) = ctemp * temp - stemp * a_ref(i__,
1);
a_ref(i__, 1) = stemp * temp + ctemp * a_ref(i__,
1);
/* L190: */
}
}
/* L200: */
}
}
} else if (lsame_(pivot, "B")) {
if (lsame_(direct, "F")) {
i__1 = *n - 1;
for (j = 1; j <= i__1; ++j) {
ctemp = c__[j];
stemp = s[j];
if (ctemp != 1. || stemp != 0.) {
i__2 = *m;
for (i__ = 1; i__ <= i__2; ++i__) {
temp = a_ref(i__, j);
a_ref(i__, j) = stemp * a_ref(i__, *n) + ctemp *
temp;
a_ref(i__, *n) = ctemp * a_ref(i__, *n) - stemp *
temp;
/* L210: */
}
}
/* L220: */
}
} else if (lsame_(direct, "B")) {
for (j = *n - 1; j >= 1; --j) {
ctemp = c__[j];
stemp = s[j];
if (ctemp != 1. || stemp != 0.) {
i__1 = *m;
for (i__ = 1; i__ <= i__1; ++i__) {
temp = a_ref(i__, j);
a_ref(i__, j) = stemp * a_ref(i__, *n) + ctemp *
temp;
a_ref(i__, *n) = ctemp * a_ref(i__, *n) - stemp *
temp;
/* L230: */
}
}
/* L240: */
}
}
}
}
return 0;
/* End of DLASR */
} /* dlasr_ */
#undef a_ref
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