|
kusano |
7d535a |
/* -- translated by f2c (version 19940927).
|
|
kusano |
7d535a |
You must link the resulting object file with the libraries:
|
|
kusano |
7d535a |
-lf2c -lm (in that order)
|
|
kusano |
7d535a |
*/
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
#include "f2c.h"
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Table of constant values */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
static integer c__1 = 1;
|
|
kusano |
7d535a |
static doublereal c_b22 = 0.;
|
|
kusano |
7d535a |
static logical c_true = TRUE_;
|
|
kusano |
7d535a |
static logical c_false = FALSE_;
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
int
|
|
kusano |
7d535a |
dlatms_(integer *m, integer *n, char *dist, integer *
|
|
kusano |
7d535a |
iseed, char *sym, doublereal *d, integer *mode, doublereal *cond,
|
|
kusano |
7d535a |
doublereal *dmax__, integer *kl, integer *ku, char *pack,
|
|
kusano |
7d535a |
doublereal *a, integer *lda, doublereal *work, integer *info)
|
|
kusano |
7d535a |
{
|
|
kusano |
7d535a |
/* System generated locals */
|
|
kusano |
7d535a |
integer a_dim1, a_offset, i__1, i__2, i__3, i__4, i__5, i__6;
|
|
kusano |
7d535a |
doublereal d__1, d__2, d__3;
|
|
kusano |
7d535a |
logical L__1;
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Builtin functions */
|
|
kusano |
7d535a |
double cos(doublereal), sin(doublereal);
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Local variables */
|
|
kusano |
7d535a |
static integer ilda, icol;
|
|
kusano |
7d535a |
static doublereal temp;
|
|
kusano |
7d535a |
static integer irow, isym;
|
|
kusano |
7d535a |
static doublereal c;
|
|
kusano |
7d535a |
static integer i, j, k;
|
|
kusano |
7d535a |
static doublereal s, alpha, angle;
|
|
kusano |
7d535a |
static integer ipack;
|
|
kusano |
7d535a |
extern /* Subroutine */ int dscal_(integer *, doublereal *, doublereal *,
|
|
kusano |
7d535a |
integer *);
|
|
kusano |
7d535a |
static integer ioffg;
|
|
kusano |
7d535a |
extern logical lsame_(char *, char *);
|
|
kusano |
7d535a |
static integer iinfo, idist, mnmin;
|
|
kusano |
7d535a |
extern /* Subroutine */ int dcopy_(integer *, doublereal *, integer *,
|
|
kusano |
7d535a |
doublereal *, integer *);
|
|
kusano |
7d535a |
static integer iskew;
|
|
kusano |
7d535a |
static doublereal extra, dummy;
|
|
kusano |
7d535a |
extern /* Subroutine */ int dlatm1_(integer *, doublereal *, integer *,
|
|
kusano |
7d535a |
integer *, integer *, doublereal *, integer *, integer *);
|
|
kusano |
7d535a |
static integer ic, jc, nc;
|
|
kusano |
7d535a |
extern /* Subroutine */ int dlagge_(integer *, integer *, integer *,
|
|
kusano |
7d535a |
integer *, doublereal *, doublereal *, integer *, integer *,
|
|
kusano |
7d535a |
doublereal *, integer *);
|
|
kusano |
7d535a |
static integer il, iendch, ir, jr, ipackg, mr, minlda;
|
|
kusano |
7d535a |
extern doublereal dlarnd_(integer *, integer *);
|
|
kusano |
7d535a |
extern /* Subroutine */ int dlaset_(char *, integer *, integer *,
|
|
kusano |
7d535a |
doublereal *, doublereal *, doublereal *, integer *),
|
|
kusano |
7d535a |
dlartg_(doublereal *, doublereal *, doublereal *, doublereal *,
|
|
kusano |
7d535a |
doublereal *), xerbla_(char *, integer *), dlagsy_(
|
|
kusano |
7d535a |
integer *, integer *, doublereal *, doublereal *, integer *,
|
|
kusano |
7d535a |
integer *, doublereal *, integer *), dlarot_(logical *, logical *,
|
|
kusano |
7d535a |
logical *, integer *, doublereal *, doublereal *, doublereal *,
|
|
kusano |
7d535a |
integer *, doublereal *, doublereal *);
|
|
kusano |
7d535a |
static logical iltemp, givens;
|
|
kusano |
7d535a |
static integer ioffst, irsign;
|
|
kusano |
7d535a |
static logical ilextr, topdwn;
|
|
kusano |
7d535a |
static integer ir1, ir2, isympk, jch, llb, jkl, jku, uub;
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* -- LAPACK test routine (version 2.0) --
|
|
kusano |
7d535a |
Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
|
|
kusano |
7d535a |
Courant Institute, Argonne National Lab, and Rice University
|
|
kusano |
7d535a |
September 30, 1994
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
Purpose
|
|
kusano |
7d535a |
=======
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
DLATMS generates random matrices with specified singular values
|
|
kusano |
7d535a |
(or symmetric/hermitian with specified eigenvalues)
|
|
kusano |
7d535a |
for testing LAPACK programs.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
DLATMS operates by applying the following sequence of
|
|
kusano |
7d535a |
operations:
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
Set the diagonal to D, where D may be input or
|
|
kusano |
7d535a |
computed according to MODE, COND, DMAX, and SYM
|
|
kusano |
7d535a |
as described below.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
Generate a matrix with the appropriate band structure, by one
|
|
kusano |
7d535a |
of two methods:
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
Method A:
|
|
kusano |
7d535a |
Generate a dense M x N matrix by multiplying D on the left
|
|
kusano |
7d535a |
and the right by random unitary matrices, then:
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
Reduce the bandwidth according to KL and KU, using
|
|
kusano |
7d535a |
Householder transformations.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
Method B:
|
|
kusano |
7d535a |
Convert the bandwidth-0 (i.e., diagonal) matrix to a
|
|
kusano |
7d535a |
bandwidth-1 matrix using Givens rotations, "chasing"
|
|
kusano |
7d535a |
out-of-band elements back, much as in QR; then
|
|
kusano |
7d535a |
convert the bandwidth-1 to a bandwidth-2 matrix, etc.
|
|
kusano |
7d535a |
Note that for reasonably small bandwidths (relative to
|
|
kusano |
7d535a |
M and N) this requires less storage, as a dense matrix
|
|
kusano |
7d535a |
is not generated. Also, for symmetric matrices, only
|
|
kusano |
7d535a |
one triangle is generated.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
Method A is chosen if the bandwidth is a large fraction of the
|
|
kusano |
7d535a |
order of the matrix, and LDA is at least M (so a dense
|
|
kusano |
7d535a |
matrix can be stored.) Method B is chosen if the bandwidth
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
is small (< 1/2 N for symmetric, < .3 N+M for
|
|
kusano |
7d535a |
non-symmetric), or LDA is less than M and not less than the
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
bandwidth.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
Pack the matrix if desired. Options specified by PACK are:
|
|
kusano |
7d535a |
no packing
|
|
kusano |
7d535a |
zero out upper half (if symmetric)
|
|
kusano |
7d535a |
zero out lower half (if symmetric)
|
|
kusano |
7d535a |
store the upper half columnwise (if symmetric or upper
|
|
kusano |
7d535a |
triangular)
|
|
kusano |
7d535a |
store the lower half columnwise (if symmetric or lower
|
|
kusano |
7d535a |
triangular)
|
|
kusano |
7d535a |
store the lower triangle in banded format (if symmetric
|
|
kusano |
7d535a |
or lower triangular)
|
|
kusano |
7d535a |
store the upper triangle in banded format (if symmetric
|
|
kusano |
7d535a |
or upper triangular)
|
|
kusano |
7d535a |
store the entire matrix in banded format
|
|
kusano |
7d535a |
If Method B is chosen, and band format is specified, then the
|
|
kusano |
7d535a |
matrix will be generated in the band format, so no repacking
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
will be necessary.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
Arguments
|
|
kusano |
7d535a |
=========
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
M - INTEGER
|
|
kusano |
7d535a |
The number of rows of A. Not modified.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
N - INTEGER
|
|
kusano |
7d535a |
The number of columns of A. Not modified.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
DIST - CHARACTER*1
|
|
kusano |
7d535a |
On entry, DIST specifies the type of distribution to be used
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
to generate the random eigen-/singular values.
|
|
kusano |
7d535a |
'U' => UNIFORM( 0, 1 ) ( 'U' for uniform )
|
|
kusano |
7d535a |
'S' => UNIFORM( -1, 1 ) ( 'S' for symmetric )
|
|
kusano |
7d535a |
'N' => NORMAL( 0, 1 ) ( 'N' for normal )
|
|
kusano |
7d535a |
Not modified.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
ISEED - INTEGER array, dimension ( 4 )
|
|
kusano |
7d535a |
On entry ISEED specifies the seed of the random number
|
|
kusano |
7d535a |
generator. They should lie between 0 and 4095 inclusive,
|
|
kusano |
7d535a |
and ISEED(4) should be odd. The random number generator
|
|
kusano |
7d535a |
uses a linear congruential sequence limited to small
|
|
kusano |
7d535a |
integers, and so should produce machine independent
|
|
kusano |
7d535a |
random numbers. The values of ISEED are changed on
|
|
kusano |
7d535a |
exit, and can be used in the next call to DLATMS
|
|
kusano |
7d535a |
to continue the same random number sequence.
|
|
kusano |
7d535a |
Changed on exit.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
SYM - CHARACTER*1
|
|
kusano |
7d535a |
If SYM='S' or 'H', the generated matrix is symmetric, with
|
|
kusano |
7d535a |
eigenvalues specified by D, COND, MODE, and DMAX; they
|
|
kusano |
7d535a |
may be positive, negative, or zero.
|
|
kusano |
7d535a |
If SYM='P', the generated matrix is symmetric, with
|
|
kusano |
7d535a |
eigenvalues (= singular values) specified by D, COND,
|
|
kusano |
7d535a |
MODE, and DMAX; they will not be negative.
|
|
kusano |
7d535a |
If SYM='N', the generated matrix is nonsymmetric, with
|
|
kusano |
7d535a |
singular values specified by D, COND, MODE, and DMAX;
|
|
kusano |
7d535a |
they will not be negative.
|
|
kusano |
7d535a |
Not modified.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
D - DOUBLE PRECISION array, dimension ( MIN( M , N ) )
|
|
kusano |
7d535a |
This array is used to specify the singular values or
|
|
kusano |
7d535a |
eigenvalues of A (see SYM, above.) If MODE=0, then D is
|
|
kusano |
7d535a |
assumed to contain the singular/eigenvalues, otherwise
|
|
kusano |
7d535a |
they will be computed according to MODE, COND, and DMAX,
|
|
kusano |
7d535a |
and placed in D.
|
|
kusano |
7d535a |
Modified if MODE is nonzero.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
MODE - INTEGER
|
|
kusano |
7d535a |
On entry this describes how the singular/eigenvalues are to
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
be specified:
|
|
kusano |
7d535a |
MODE = 0 means use D as input
|
|
kusano |
7d535a |
MODE = 1 sets D(1)=1 and D(2:N)=1.0/COND
|
|
kusano |
7d535a |
MODE = 2 sets D(1:N-1)=1 and D(N)=1.0/COND
|
|
kusano |
7d535a |
MODE = 3 sets D(I)=COND**(-(I-1)/(N-1))
|
|
kusano |
7d535a |
MODE = 4 sets D(i)=1 - (i-1)/(N-1)*(1 - 1/COND)
|
|
kusano |
7d535a |
MODE = 5 sets D to random numbers in the range
|
|
kusano |
7d535a |
( 1/COND , 1 ) such that their logarithms
|
|
kusano |
7d535a |
are uniformly distributed.
|
|
kusano |
7d535a |
MODE = 6 set D to random numbers from same distribution
|
|
kusano |
7d535a |
as the rest of the matrix.
|
|
kusano |
7d535a |
MODE < 0 has the same meaning as ABS(MODE), except that
|
|
kusano |
7d535a |
the order of the elements of D is reversed.
|
|
kusano |
7d535a |
Thus if MODE is positive, D has entries ranging from
|
|
kusano |
7d535a |
1 to 1/COND, if negative, from 1/COND to 1,
|
|
kusano |
7d535a |
If SYM='S' or 'H', and MODE is neither 0, 6, nor -6, then
|
|
kusano |
7d535a |
the elements of D will also be multiplied by a random
|
|
kusano |
7d535a |
sign (i.e., +1 or -1.)
|
|
kusano |
7d535a |
Not modified.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
COND - DOUBLE PRECISION
|
|
kusano |
7d535a |
On entry, this is used as described under MODE above.
|
|
kusano |
7d535a |
If used, it must be >= 1. Not modified.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
DMAX - DOUBLE PRECISION
|
|
kusano |
7d535a |
If MODE is neither -6, 0 nor 6, the contents of D, as
|
|
kusano |
7d535a |
computed according to MODE and COND, will be scaled by
|
|
kusano |
7d535a |
DMAX / max(abs(D(i))); thus, the maximum absolute eigen- or
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
singular value (which is to say the norm) will be abs(DMAX).
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
Note that DMAX need not be positive: if DMAX is negative
|
|
kusano |
7d535a |
(or zero), D will be scaled by a negative number (or zero).
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
Not modified.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
KL - INTEGER
|
|
kusano |
7d535a |
This specifies the lower bandwidth of the matrix. For
|
|
kusano |
7d535a |
example, KL=0 implies upper triangular, KL=1 implies upper
|
|
kusano |
7d535a |
Hessenberg, and KL being at least M-1 means that the matrix
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
has full lower bandwidth. KL must equal KU if the matrix
|
|
kusano |
7d535a |
is symmetric.
|
|
kusano |
7d535a |
Not modified.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
KU - INTEGER
|
|
kusano |
7d535a |
This specifies the upper bandwidth of the matrix. For
|
|
kusano |
7d535a |
example, KU=0 implies lower triangular, KU=1 implies lower
|
|
kusano |
7d535a |
Hessenberg, and KU being at least N-1 means that the matrix
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
has full upper bandwidth. KL must equal KU if the matrix
|
|
kusano |
7d535a |
is symmetric.
|
|
kusano |
7d535a |
Not modified.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
PACK - CHARACTER*1
|
|
kusano |
7d535a |
This specifies packing of matrix as follows:
|
|
kusano |
7d535a |
'N' => no packing
|
|
kusano |
7d535a |
'U' => zero out all subdiagonal entries (if symmetric)
|
|
kusano |
7d535a |
'L' => zero out all superdiagonal entries (if symmetric)
|
|
kusano |
7d535a |
'C' => store the upper triangle columnwise
|
|
kusano |
7d535a |
(only if the matrix is symmetric or upper triangular)
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
'R' => store the lower triangle columnwise
|
|
kusano |
7d535a |
(only if the matrix is symmetric or lower triangular)
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
'B' => store the lower triangle in band storage scheme
|
|
kusano |
7d535a |
(only if matrix symmetric or lower triangular)
|
|
kusano |
7d535a |
'Q' => store the upper triangle in band storage scheme
|
|
kusano |
7d535a |
(only if matrix symmetric or upper triangular)
|
|
kusano |
7d535a |
'Z' => store the entire matrix in band storage scheme
|
|
kusano |
7d535a |
(pivoting can be provided for by using this
|
|
kusano |
7d535a |
option to store A in the trailing rows of
|
|
kusano |
7d535a |
the allocated storage)
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
Using these options, the various LAPACK packed and banded
|
|
kusano |
7d535a |
storage schemes can be obtained:
|
|
kusano |
7d535a |
GB - use 'Z'
|
|
kusano |
7d535a |
PB, SB or TB - use 'B' or 'Q'
|
|
kusano |
7d535a |
PP, SP or TP - use 'C' or 'R'
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
If two calls to DLATMS differ only in the PACK parameter,
|
|
kusano |
7d535a |
they will generate mathematically equivalent matrices.
|
|
kusano |
7d535a |
Not modified.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
A - DOUBLE PRECISION array, dimension ( LDA, N )
|
|
kusano |
7d535a |
On exit A is the desired test matrix. A is first generated
|
|
kusano |
7d535a |
in full (unpacked) form, and then packed, if so specified
|
|
kusano |
7d535a |
by PACK. Thus, the first M elements of the first N
|
|
kusano |
7d535a |
columns will always be modified. If PACK specifies a
|
|
kusano |
7d535a |
packed or banded storage scheme, all LDA elements of the
|
|
kusano |
7d535a |
first N columns will be modified; the elements of the
|
|
kusano |
7d535a |
array which do not correspond to elements of the generated
|
|
kusano |
7d535a |
matrix are set to zero.
|
|
kusano |
7d535a |
Modified.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
LDA - INTEGER
|
|
kusano |
7d535a |
LDA specifies the first dimension of A as declared in the
|
|
kusano |
7d535a |
calling program. If PACK='N', 'U', 'L', 'C', or 'R', then
|
|
kusano |
7d535a |
LDA must be at least M. If PACK='B' or 'Q', then LDA must
|
|
kusano |
7d535a |
be at least MIN( KL, M-1) (which is equal to MIN(KU,N-1)).
|
|
kusano |
7d535a |
If PACK='Z', LDA must be large enough to hold the packed
|
|
kusano |
7d535a |
array: MIN( KU, N-1) + MIN( KL, M-1) + 1.
|
|
kusano |
7d535a |
Not modified.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
WORK - DOUBLE PRECISION array, dimension ( 3*MAX( N , M ) )
|
|
kusano |
7d535a |
Workspace.
|
|
kusano |
7d535a |
Modified.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
INFO - INTEGER
|
|
kusano |
7d535a |
Error code. On exit, INFO will be set to one of the
|
|
kusano |
7d535a |
following values:
|
|
kusano |
7d535a |
0 => normal return
|
|
kusano |
7d535a |
-1 => M negative or unequal to N and SYM='S', 'H', or 'P'
|
|
kusano |
7d535a |
-2 => N negative
|
|
kusano |
7d535a |
-3 => DIST illegal string
|
|
kusano |
7d535a |
-5 => SYM illegal string
|
|
kusano |
7d535a |
-7 => MODE not in range -6 to 6
|
|
kusano |
7d535a |
-8 => COND less than 1.0, and MODE neither -6, 0 nor 6
|
|
kusano |
7d535a |
-10 => KL negative
|
|
kusano |
7d535a |
-11 => KU negative, or SYM='S' or 'H' and KU not equal to KL
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
-12 => PACK illegal string, or PACK='U' or 'L', and SYM='N';
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
or PACK='C' or 'Q' and SYM='N' and KL is not zero;
|
|
kusano |
7d535a |
or PACK='R' or 'B' and SYM='N' and KU is not zero;
|
|
kusano |
7d535a |
or PACK='U', 'L', 'C', 'R', 'B', or 'Q', and M is not
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
N.
|
|
kusano |
7d535a |
-14 => LDA is less than M, or PACK='Z' and LDA is less than
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
MIN(KU,N-1) + MIN(KL,M-1) + 1.
|
|
kusano |
7d535a |
1 => Error return from DLATM1
|
|
kusano |
7d535a |
2 => Cannot scale to DMAX (max. sing. value is 0)
|
|
kusano |
7d535a |
3 => Error return from DLAGGE or SLAGSY
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
=====================================================================
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
1) Decode and Test the input parameters.
|
|
kusano |
7d535a |
Initialize flags & seed.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
Parameter adjustments */
|
|
kusano |
7d535a |
--iseed;
|
|
kusano |
7d535a |
--d;
|
|
kusano |
7d535a |
a_dim1 = *lda;
|
|
kusano |
7d535a |
a_offset = a_dim1 + 1;
|
|
kusano |
7d535a |
a -= a_offset;
|
|
kusano |
7d535a |
--work;
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Function Body */
|
|
kusano |
7d535a |
*info = 0;
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Quick return if possible */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (*m == 0 || *n == 0) {
|
|
kusano |
7d535a |
return 0;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Decode DIST */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (lsame_(dist, "U")) {
|
|
kusano |
7d535a |
idist = 1;
|
|
kusano |
7d535a |
} else if (lsame_(dist, "S")) {
|
|
kusano |
7d535a |
idist = 2;
|
|
kusano |
7d535a |
} else if (lsame_(dist, "N")) {
|
|
kusano |
7d535a |
idist = 3;
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
idist = -1;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Decode SYM */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (lsame_(sym, "N")) {
|
|
kusano |
7d535a |
isym = 1;
|
|
kusano |
7d535a |
irsign = 0;
|
|
kusano |
7d535a |
} else if (lsame_(sym, "P")) {
|
|
kusano |
7d535a |
isym = 2;
|
|
kusano |
7d535a |
irsign = 0;
|
|
kusano |
7d535a |
} else if (lsame_(sym, "S")) {
|
|
kusano |
7d535a |
isym = 2;
|
|
kusano |
7d535a |
irsign = 1;
|
|
kusano |
7d535a |
} else if (lsame_(sym, "H")) {
|
|
kusano |
7d535a |
isym = 2;
|
|
kusano |
7d535a |
irsign = 1;
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
isym = -1;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Decode PACK */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
isympk = 0;
|
|
kusano |
7d535a |
if (lsame_(pack, "N")) {
|
|
kusano |
7d535a |
ipack = 0;
|
|
kusano |
7d535a |
} else if (lsame_(pack, "U")) {
|
|
kusano |
7d535a |
ipack = 1;
|
|
kusano |
7d535a |
isympk = 1;
|
|
kusano |
7d535a |
} else if (lsame_(pack, "L")) {
|
|
kusano |
7d535a |
ipack = 2;
|
|
kusano |
7d535a |
isympk = 1;
|
|
kusano |
7d535a |
} else if (lsame_(pack, "C")) {
|
|
kusano |
7d535a |
ipack = 3;
|
|
kusano |
7d535a |
isympk = 2;
|
|
kusano |
7d535a |
} else if (lsame_(pack, "R")) {
|
|
kusano |
7d535a |
ipack = 4;
|
|
kusano |
7d535a |
isympk = 3;
|
|
kusano |
7d535a |
} else if (lsame_(pack, "B")) {
|
|
kusano |
7d535a |
ipack = 5;
|
|
kusano |
7d535a |
isympk = 3;
|
|
kusano |
7d535a |
} else if (lsame_(pack, "Q")) {
|
|
kusano |
7d535a |
ipack = 6;
|
|
kusano |
7d535a |
isympk = 2;
|
|
kusano |
7d535a |
} else if (lsame_(pack, "Z")) {
|
|
kusano |
7d535a |
ipack = 7;
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
ipack = -1;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Set certain internal parameters */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
mnmin = min(*m,*n);
|
|
kusano |
7d535a |
/* Computing MIN */
|
|
kusano |
7d535a |
i__1 = *kl, i__2 = *m - 1;
|
|
kusano |
7d535a |
llb = min(i__1,i__2);
|
|
kusano |
7d535a |
/* Computing MIN */
|
|
kusano |
7d535a |
i__1 = *ku, i__2 = *n - 1;
|
|
kusano |
7d535a |
uub = min(i__1,i__2);
|
|
kusano |
7d535a |
/* Computing MIN */
|
|
kusano |
7d535a |
i__1 = *m, i__2 = *n + llb;
|
|
kusano |
7d535a |
mr = min(i__1,i__2);
|
|
kusano |
7d535a |
/* Computing MIN */
|
|
kusano |
7d535a |
i__1 = *n, i__2 = *m + uub;
|
|
kusano |
7d535a |
nc = min(i__1,i__2);
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (ipack == 5 || ipack == 6) {
|
|
kusano |
7d535a |
minlda = uub + 1;
|
|
kusano |
7d535a |
} else if (ipack == 7) {
|
|
kusano |
7d535a |
minlda = llb + uub + 1;
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
minlda = *m;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Use Givens rotation method if bandwidth small enough,
|
|
kusano |
7d535a |
or if LDA is too small to store the matrix unpacked. */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
givens = FALSE_;
|
|
kusano |
7d535a |
if (isym == 1) {
|
|
kusano |
7d535a |
/* Computing MAX */
|
|
kusano |
7d535a |
i__1 = 1, i__2 = mr + nc;
|
|
kusano |
7d535a |
if ((doublereal) (llb + uub) < (doublereal) max(i__1,i__2) * .3) {
|
|
kusano |
7d535a |
givens = TRUE_;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
if (llb << 1 < *m) {
|
|
kusano |
7d535a |
givens = TRUE_;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
if (*lda < *m && *lda >= minlda) {
|
|
kusano |
7d535a |
givens = TRUE_;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Set INFO if an error */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (*m < 0) {
|
|
kusano |
7d535a |
*info = -1;
|
|
kusano |
7d535a |
} else if (*m != *n && isym != 1) {
|
|
kusano |
7d535a |
*info = -1;
|
|
kusano |
7d535a |
} else if (*n < 0) {
|
|
kusano |
7d535a |
*info = -2;
|
|
kusano |
7d535a |
} else if (idist == -1) {
|
|
kusano |
7d535a |
*info = -3;
|
|
kusano |
7d535a |
} else if (isym == -1) {
|
|
kusano |
7d535a |
*info = -5;
|
|
kusano |
7d535a |
} else if (abs(*mode) > 6) {
|
|
kusano |
7d535a |
*info = -7;
|
|
kusano |
7d535a |
} else if (*mode != 0 && abs(*mode) != 6 && *cond < 1.) {
|
|
kusano |
7d535a |
*info = -8;
|
|
kusano |
7d535a |
} else if (*kl < 0) {
|
|
kusano |
7d535a |
*info = -10;
|
|
kusano |
7d535a |
} else if (*ku < 0 || isym != 1 && *kl != *ku) {
|
|
kusano |
7d535a |
*info = -11;
|
|
kusano |
7d535a |
} else if (ipack == -1 || isympk == 1 && isym == 1 || isympk == 2 && isym
|
|
kusano |
7d535a |
== 1 && *kl > 0 || isympk == 3 && isym == 1 && *ku > 0 || isympk
|
|
kusano |
7d535a |
!= 0 && *m != *n) {
|
|
kusano |
7d535a |
*info = -12;
|
|
kusano |
7d535a |
} else if (*lda < max(1,minlda)) {
|
|
kusano |
7d535a |
*info = -14;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (*info != 0) {
|
|
kusano |
7d535a |
i__1 = -(*info);
|
|
kusano |
7d535a |
xerbla_("DLATMS", &i__1);
|
|
kusano |
7d535a |
return 0;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Initialize random number generator */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
for (i = 1; i <= 4; ++i) {
|
|
kusano |
7d535a |
iseed[i] = (i__1 = iseed[i], abs(i__1)) % 4096;
|
|
kusano |
7d535a |
/* L10: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (iseed[4] % 2 != 1) {
|
|
kusano |
7d535a |
++iseed[4];
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* 2) Set up D if indicated.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
Compute D according to COND and MODE */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
dlatm1_(mode, cond, &irsign, &idist, &iseed[1], &d[1], &mnmin, &iinfo);
|
|
kusano |
7d535a |
if (iinfo != 0) {
|
|
kusano |
7d535a |
*info = 1;
|
|
kusano |
7d535a |
return 0;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Choose Top-Down if D is (apparently) increasing,
|
|
kusano |
7d535a |
Bottom-Up if D is (apparently) decreasing. */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (abs(d[1]) <= (d__1 = d[mnmin], abs(d__1))) {
|
|
kusano |
7d535a |
topdwn = TRUE_;
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
topdwn = FALSE_;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (*mode != 0 && abs(*mode) != 6) {
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Scale by DMAX */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
temp = abs(d[1]);
|
|
kusano |
7d535a |
i__1 = mnmin;
|
|
kusano |
7d535a |
for (i = 2; i <= i__1; ++i) {
|
|
kusano |
7d535a |
/* Computing MAX */
|
|
kusano |
7d535a |
d__2 = temp, d__3 = (d__1 = d[i], abs(d__1));
|
|
kusano |
7d535a |
temp = max(d__2,d__3);
|
|
kusano |
7d535a |
/* L20: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (temp > 0.) {
|
|
kusano |
7d535a |
alpha = *dmax__ / temp;
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
*info = 2;
|
|
kusano |
7d535a |
return 0;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
dscal_(&mnmin, &alpha, &d[1], &c__1);
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* 3) Generate Banded Matrix using Givens rotations.
|
|
kusano |
7d535a |
Also the special case of UUB=LLB=0
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
Compute Addressing constants to cover all
|
|
kusano |
7d535a |
storage formats. Whether GE, SY, GB, or SB,
|
|
kusano |
7d535a |
upper or lower triangle or both,
|
|
kusano |
7d535a |
the (i,j)-th element is in
|
|
kusano |
7d535a |
A( i - ISKEW*j + IOFFST, j ) */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (ipack > 4) {
|
|
kusano |
7d535a |
ilda = *lda - 1;
|
|
kusano |
7d535a |
iskew = 1;
|
|
kusano |
7d535a |
if (ipack > 5) {
|
|
kusano |
7d535a |
ioffst = uub + 1;
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
ioffst = 1;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
ilda = *lda;
|
|
kusano |
7d535a |
iskew = 0;
|
|
kusano |
7d535a |
ioffst = 0;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* IPACKG is the format that the matrix is generated in. If this is
|
|
kusano |
7d535a |
different from IPACK, then the matrix must be repacked at the
|
|
kusano |
7d535a |
end. It also signals how to compute the norm, for scaling. */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
ipackg = 0;
|
|
kusano |
7d535a |
dlaset_("Full", lda, n, &c_b22, &c_b22, &a[a_offset], lda);
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Diagonal Matrix -- We are done, unless it
|
|
kusano |
7d535a |
is to be stored SP/PP/TP (PACK='R' or 'C') */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (llb == 0 && uub == 0) {
|
|
kusano |
7d535a |
i__1 = ilda + 1;
|
|
kusano |
7d535a |
dcopy_(&mnmin, &d[1], &c__1, &a[1 - iskew + ioffst + a_dim1], &i__1);
|
|
kusano |
7d535a |
if (ipack <= 2 || ipack >= 5) {
|
|
kusano |
7d535a |
ipackg = ipack;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
} else if (givens) {
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Check whether to use Givens rotations,
|
|
kusano |
7d535a |
Householder transformations, or nothing. */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (isym == 1) {
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Non-symmetric -- A = U D V */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (ipack > 4) {
|
|
kusano |
7d535a |
ipackg = ipack;
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
ipackg = 0;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
i__1 = ilda + 1;
|
|
kusano |
7d535a |
dcopy_(&mnmin, &d[1], &c__1, &a[1 - iskew + ioffst + a_dim1], &
|
|
kusano |
7d535a |
i__1);
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (topdwn) {
|
|
kusano |
7d535a |
jkl = 0;
|
|
kusano |
7d535a |
i__1 = uub;
|
|
kusano |
7d535a |
for (jku = 1; jku <= i__1; ++jku) {
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Transform from bandwidth JKL, JKU-1 to
|
|
kusano |
7d535a |
JKL, JKU
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
Last row actually rotated is M
|
|
kusano |
7d535a |
Last column actually rotated is MIN( M+
|
|
kusano |
7d535a |
JKU, N )
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
Computing MIN */
|
|
kusano |
7d535a |
i__3 = *m + jku;
|
|
kusano |
7d535a |
i__2 = min(i__3,*n) + jkl - 1;
|
|
kusano |
7d535a |
for (jr = 1; jr <= i__2; ++jr) {
|
|
kusano |
7d535a |
extra = 0.;
|
|
kusano |
7d535a |
angle = dlarnd_(&c__1, &iseed[1]) *
|
|
kusano |
7d535a |
6.2831853071795864769252867663;
|
|
kusano |
7d535a |
c = cos(angle);
|
|
kusano |
7d535a |
s = sin(angle);
|
|
kusano |
7d535a |
/* Computing MAX */
|
|
kusano |
7d535a |
i__3 = 1, i__4 = jr - jkl;
|
|
kusano |
7d535a |
icol = max(i__3,i__4);
|
|
kusano |
7d535a |
if (jr < *m) {
|
|
kusano |
7d535a |
/* Computing MIN */
|
|
kusano |
7d535a |
i__3 = *n, i__4 = jr + jku;
|
|
kusano |
7d535a |
il = min(i__3,i__4) + 1 - icol;
|
|
kusano |
7d535a |
L__1 = jr > jkl;
|
|
kusano |
7d535a |
dlarot_(&c_true, &L__1, &c_false, &il, &c, &s, &a[
|
|
kusano |
7d535a |
jr - iskew * icol + ioffst + icol *
|
|
kusano |
7d535a |
a_dim1], &ilda, &extra, &dummy);
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Chase "EXTRA" back up */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
ir = jr;
|
|
kusano |
7d535a |
ic = icol;
|
|
kusano |
7d535a |
i__3 = -jkl - jku;
|
|
kusano |
7d535a |
for (jch = jr - jkl; i__3 < 0 ? jch >= 1 : jch <= 1;
|
|
kusano |
7d535a |
jch += i__3) {
|
|
kusano |
7d535a |
if (ir < *m) {
|
|
kusano |
7d535a |
dlartg_(&a[ir + 1 - iskew * (ic + 1) + ioffst
|
|
kusano |
7d535a |
+ (ic + 1) * a_dim1], &extra, &c, &s,
|
|
kusano |
7d535a |
&dummy);
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* Computing MAX */
|
|
kusano |
7d535a |
i__4 = 1, i__5 = jch - jku;
|
|
kusano |
7d535a |
irow = max(i__4,i__5);
|
|
kusano |
7d535a |
il = ir + 2 - irow;
|
|
kusano |
7d535a |
temp = 0.;
|
|
kusano |
7d535a |
iltemp = jch > jku;
|
|
kusano |
7d535a |
d__1 = -s;
|
|
kusano |
7d535a |
dlarot_(&c_false, &iltemp, &c_true, &il, &c, &
|
|
kusano |
7d535a |
d__1, &a[irow - iskew * ic + ioffst + ic *
|
|
kusano |
7d535a |
a_dim1], &ilda, &temp, &extra);
|
|
kusano |
7d535a |
if (iltemp) {
|
|
kusano |
7d535a |
dlartg_(&a[irow + 1 - iskew * (ic + 1) +
|
|
kusano |
7d535a |
ioffst + (ic + 1) * a_dim1], &temp, &
|
|
kusano |
7d535a |
c, &s, &dummy);
|
|
kusano |
7d535a |
/* Computing MAX */
|
|
kusano |
7d535a |
i__4 = 1, i__5 = jch - jku - jkl;
|
|
kusano |
7d535a |
icol = max(i__4,i__5);
|
|
kusano |
7d535a |
il = ic + 2 - icol;
|
|
kusano |
7d535a |
extra = 0.;
|
|
kusano |
7d535a |
L__1 = jch > jku + jkl;
|
|
kusano |
7d535a |
d__1 = -s;
|
|
kusano |
7d535a |
dlarot_(&c_true, &L__1, &c_true, &il, &c, &
|
|
kusano |
7d535a |
d__1, &a[irow - iskew * icol + ioffst
|
|
kusano |
7d535a |
+ icol * a_dim1], &ilda, &extra, &
|
|
kusano |
7d535a |
temp);
|
|
kusano |
7d535a |
ic = icol;
|
|
kusano |
7d535a |
ir = irow;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L30: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L40: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L50: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
jku = uub;
|
|
kusano |
7d535a |
i__1 = llb;
|
|
kusano |
7d535a |
for (jkl = 1; jkl <= i__1; ++jkl) {
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Transform from bandwidth JKL-1, JKU to
|
|
kusano |
7d535a |
JKL, JKU
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
Computing MIN */
|
|
kusano |
7d535a |
i__3 = *n + jkl;
|
|
kusano |
7d535a |
i__2 = min(i__3,*m) + jku - 1;
|
|
kusano |
7d535a |
for (jc = 1; jc <= i__2; ++jc) {
|
|
kusano |
7d535a |
extra = 0.;
|
|
kusano |
7d535a |
angle = dlarnd_(&c__1, &iseed[1]) *
|
|
kusano |
7d535a |
6.2831853071795864769252867663;
|
|
kusano |
7d535a |
c = cos(angle);
|
|
kusano |
7d535a |
s = sin(angle);
|
|
kusano |
7d535a |
/* Computing MAX */
|
|
kusano |
7d535a |
i__3 = 1, i__4 = jc - jku;
|
|
kusano |
7d535a |
irow = max(i__3,i__4);
|
|
kusano |
7d535a |
if (jc < *n) {
|
|
kusano |
7d535a |
/* Computing MIN */
|
|
kusano |
7d535a |
i__3 = *m, i__4 = jc + jkl;
|
|
kusano |
7d535a |
il = min(i__3,i__4) + 1 - irow;
|
|
kusano |
7d535a |
L__1 = jc > jku;
|
|
kusano |
7d535a |
dlarot_(&c_false, &L__1, &c_false, &il, &c, &s, &
|
|
kusano |
7d535a |
a[irow - iskew * jc + ioffst + jc *
|
|
kusano |
7d535a |
a_dim1], &ilda, &extra, &dummy);
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Chase "EXTRA" back up */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
ic = jc;
|
|
kusano |
7d535a |
ir = irow;
|
|
kusano |
7d535a |
i__3 = -jkl - jku;
|
|
kusano |
7d535a |
for (jch = jc - jku; i__3 < 0 ? jch >= 1 : jch <= 1;
|
|
kusano |
7d535a |
jch += i__3) {
|
|
kusano |
7d535a |
if (ic < *n) {
|
|
kusano |
7d535a |
dlartg_(&a[ir + 1 - iskew * (ic + 1) + ioffst
|
|
kusano |
7d535a |
+ (ic + 1) * a_dim1], &extra, &c, &s,
|
|
kusano |
7d535a |
&dummy);
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* Computing MAX */
|
|
kusano |
7d535a |
i__4 = 1, i__5 = jch - jkl;
|
|
kusano |
7d535a |
icol = max(i__4,i__5);
|
|
kusano |
7d535a |
il = ic + 2 - icol;
|
|
kusano |
7d535a |
temp = 0.;
|
|
kusano |
7d535a |
iltemp = jch > jkl;
|
|
kusano |
7d535a |
d__1 = -s;
|
|
kusano |
7d535a |
dlarot_(&c_true, &iltemp, &c_true, &il, &c, &d__1,
|
|
kusano |
7d535a |
&a[ir - iskew * icol + ioffst + icol *
|
|
kusano |
7d535a |
a_dim1], &ilda, &temp, &extra);
|
|
kusano |
7d535a |
if (iltemp) {
|
|
kusano |
7d535a |
dlartg_(&a[ir + 1 - iskew * (icol + 1) +
|
|
kusano |
7d535a |
ioffst + (icol + 1) * a_dim1], &temp,
|
|
kusano |
7d535a |
&c, &s, &dummy);
|
|
kusano |
7d535a |
/* Computing MAX */
|
|
kusano |
7d535a |
i__4 = 1, i__5 = jch - jkl - jku;
|
|
kusano |
7d535a |
irow = max(i__4,i__5);
|
|
kusano |
7d535a |
il = ir + 2 - irow;
|
|
kusano |
7d535a |
extra = 0.;
|
|
kusano |
7d535a |
L__1 = jch > jkl + jku;
|
|
kusano |
7d535a |
d__1 = -s;
|
|
kusano |
7d535a |
dlarot_(&c_false, &L__1, &c_true, &il, &c, &
|
|
kusano |
7d535a |
d__1, &a[irow - iskew * icol + ioffst
|
|
kusano |
7d535a |
+ icol * a_dim1], &ilda, &extra, &
|
|
kusano |
7d535a |
temp);
|
|
kusano |
7d535a |
ic = icol;
|
|
kusano |
7d535a |
ir = irow;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L60: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L70: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L80: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Bottom-Up -- Start at the bottom right. */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
jkl = 0;
|
|
kusano |
7d535a |
i__1 = uub;
|
|
kusano |
7d535a |
for (jku = 1; jku <= i__1; ++jku) {
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Transform from bandwidth JKL, JKU-1 to
|
|
kusano |
7d535a |
JKL, JKU
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
First row actually rotated is M
|
|
kusano |
7d535a |
First column actually rotated is MIN( M
|
|
kusano |
7d535a |
+JKU, N )
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
Computing MIN */
|
|
kusano |
7d535a |
i__2 = *m, i__3 = *n + jkl;
|
|
kusano |
7d535a |
iendch = min(i__2,i__3) - 1;
|
|
kusano |
7d535a |
/* Computing MIN */
|
|
kusano |
7d535a |
i__2 = *m + jku;
|
|
kusano |
7d535a |
i__3 = 1 - jkl;
|
|
kusano |
7d535a |
for (jc = min(i__2,*n) - 1; jc >= i__3; --jc) {
|
|
kusano |
7d535a |
extra = 0.;
|
|
kusano |
7d535a |
angle = dlarnd_(&c__1, &iseed[1]) *
|
|
kusano |
7d535a |
6.2831853071795864769252867663;
|
|
kusano |
7d535a |
c = cos(angle);
|
|
kusano |
7d535a |
s = sin(angle);
|
|
kusano |
7d535a |
/* Computing MAX */
|
|
kusano |
7d535a |
i__2 = 1, i__4 = jc - jku + 1;
|
|
kusano |
7d535a |
irow = max(i__2,i__4);
|
|
kusano |
7d535a |
if (jc > 0) {
|
|
kusano |
7d535a |
/* Computing MIN */
|
|
kusano |
7d535a |
i__2 = *m, i__4 = jc + jkl + 1;
|
|
kusano |
7d535a |
il = min(i__2,i__4) + 1 - irow;
|
|
kusano |
7d535a |
L__1 = jc + jkl < *m;
|
|
kusano |
7d535a |
dlarot_(&c_false, &c_false, &L__1, &il, &c, &s, &
|
|
kusano |
7d535a |
a[irow - iskew * jc + ioffst + jc *
|
|
kusano |
7d535a |
a_dim1], &ilda, &dummy, &extra);
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Chase "EXTRA" back down */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
ic = jc;
|
|
kusano |
7d535a |
i__2 = iendch;
|
|
kusano |
7d535a |
i__4 = jkl + jku;
|
|
kusano |
7d535a |
for (jch = jc + jkl; i__4 < 0 ? jch >= i__2 : jch <=
|
|
kusano |
7d535a |
i__2; jch += i__4) {
|
|
kusano |
7d535a |
ilextr = ic > 0;
|
|
kusano |
7d535a |
if (ilextr) {
|
|
kusano |
7d535a |
dlartg_(&a[jch - iskew * ic + ioffst + ic *
|
|
kusano |
7d535a |
a_dim1], &extra, &c, &s, &dummy);
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
ic = max(1,ic);
|
|
kusano |
7d535a |
/* Computing MIN */
|
|
kusano |
7d535a |
i__5 = *n - 1, i__6 = jch + jku;
|
|
kusano |
7d535a |
icol = min(i__5,i__6);
|
|
kusano |
7d535a |
iltemp = jch + jku < *n;
|
|
kusano |
7d535a |
temp = 0.;
|
|
kusano |
7d535a |
i__5 = icol + 2 - ic;
|
|
kusano |
7d535a |
dlarot_(&c_true, &ilextr, &iltemp, &i__5, &c, &s,
|
|
kusano |
7d535a |
&a[jch - iskew * ic + ioffst + ic *
|
|
kusano |
7d535a |
a_dim1], &ilda, &extra, &temp);
|
|
kusano |
7d535a |
if (iltemp) {
|
|
kusano |
7d535a |
dlartg_(&a[jch - iskew * icol + ioffst + icol
|
|
kusano |
7d535a |
* a_dim1], &temp, &c, &s, &dummy);
|
|
kusano |
7d535a |
/* Computing MIN */
|
|
kusano |
7d535a |
i__5 = iendch, i__6 = jch + jkl + jku;
|
|
kusano |
7d535a |
il = min(i__5,i__6) + 2 - jch;
|
|
kusano |
7d535a |
extra = 0.;
|
|
kusano |
7d535a |
L__1 = jch + jkl + jku <= iendch;
|
|
kusano |
7d535a |
dlarot_(&c_false, &c_true, &L__1, &il, &c, &s,
|
|
kusano |
7d535a |
&a[jch - iskew * icol + ioffst +
|
|
kusano |
7d535a |
icol * a_dim1], &ilda, &temp, &extra);
|
|
kusano |
7d535a |
ic = icol;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L90: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L100: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L110: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
jku = uub;
|
|
kusano |
7d535a |
i__1 = llb;
|
|
kusano |
7d535a |
for (jkl = 1; jkl <= i__1; ++jkl) {
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Transform from bandwidth JKL-1, JKU to
|
|
kusano |
7d535a |
JKL, JKU
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
First row actually rotated is MIN( N+JK
|
|
kusano |
7d535a |
L, M )
|
|
kusano |
7d535a |
First column actually rotated is N
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
Computing MIN */
|
|
kusano |
7d535a |
i__3 = *n, i__4 = *m + jku;
|
|
kusano |
7d535a |
iendch = min(i__3,i__4) - 1;
|
|
kusano |
7d535a |
/* Computing MIN */
|
|
kusano |
7d535a |
i__3 = *n + jkl;
|
|
kusano |
7d535a |
i__4 = 1 - jku;
|
|
kusano |
7d535a |
for (jr = min(i__3,*m) - 1; jr >= i__4; --jr) {
|
|
kusano |
7d535a |
extra = 0.;
|
|
kusano |
7d535a |
angle = dlarnd_(&c__1, &iseed[1]) *
|
|
kusano |
7d535a |
6.2831853071795864769252867663;
|
|
kusano |
7d535a |
c = cos(angle);
|
|
kusano |
7d535a |
s = sin(angle);
|
|
kusano |
7d535a |
/* Computing MAX */
|
|
kusano |
7d535a |
i__3 = 1, i__2 = jr - jkl + 1;
|
|
kusano |
7d535a |
icol = max(i__3,i__2);
|
|
kusano |
7d535a |
if (jr > 0) {
|
|
kusano |
7d535a |
/* Computing MIN */
|
|
kusano |
7d535a |
i__3 = *n, i__2 = jr + jku + 1;
|
|
kusano |
7d535a |
il = min(i__3,i__2) + 1 - icol;
|
|
kusano |
7d535a |
L__1 = jr + jku < *n;
|
|
kusano |
7d535a |
dlarot_(&c_true, &c_false, &L__1, &il, &c, &s, &a[
|
|
kusano |
7d535a |
jr - iskew * icol + ioffst + icol *
|
|
kusano |
7d535a |
a_dim1], &ilda, &dummy, &extra);
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Chase "EXTRA" back down */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
ir = jr;
|
|
kusano |
7d535a |
i__3 = iendch;
|
|
kusano |
7d535a |
i__2 = jkl + jku;
|
|
kusano |
7d535a |
for (jch = jr + jku; i__2 < 0 ? jch >= i__3 : jch <=
|
|
kusano |
7d535a |
i__3; jch += i__2) {
|
|
kusano |
7d535a |
ilextr = ir > 0;
|
|
kusano |
7d535a |
if (ilextr) {
|
|
kusano |
7d535a |
dlartg_(&a[ir - iskew * jch + ioffst + jch *
|
|
kusano |
7d535a |
a_dim1], &extra, &c, &s, &dummy);
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
ir = max(1,ir);
|
|
kusano |
7d535a |
/* Computing MIN */
|
|
kusano |
7d535a |
i__5 = *m - 1, i__6 = jch + jkl;
|
|
kusano |
7d535a |
irow = min(i__5,i__6);
|
|
kusano |
7d535a |
iltemp = jch + jkl < *m;
|
|
kusano |
7d535a |
temp = 0.;
|
|
kusano |
7d535a |
i__5 = irow + 2 - ir;
|
|
kusano |
7d535a |
dlarot_(&c_false, &ilextr, &iltemp, &i__5, &c, &s,
|
|
kusano |
7d535a |
&a[ir - iskew * jch + ioffst + jch *
|
|
kusano |
7d535a |
a_dim1], &ilda, &extra, &temp);
|
|
kusano |
7d535a |
if (iltemp) {
|
|
kusano |
7d535a |
dlartg_(&a[irow - iskew * jch + ioffst + jch *
|
|
kusano |
7d535a |
a_dim1], &temp, &c, &s, &dummy);
|
|
kusano |
7d535a |
/* Computing MIN */
|
|
kusano |
7d535a |
i__5 = iendch, i__6 = jch + jkl + jku;
|
|
kusano |
7d535a |
il = min(i__5,i__6) + 2 - jch;
|
|
kusano |
7d535a |
extra = 0.;
|
|
kusano |
7d535a |
L__1 = jch + jkl + jku <= iendch;
|
|
kusano |
7d535a |
dlarot_(&c_true, &c_true, &L__1, &il, &c, &s,
|
|
kusano |
7d535a |
&a[irow - iskew * jch + ioffst + jch *
|
|
kusano |
7d535a |
a_dim1], &ilda, &temp, &extra);
|
|
kusano |
7d535a |
ir = irow;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L120: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L130: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L140: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Symmetric -- A = U D U' */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
ipackg = ipack;
|
|
kusano |
7d535a |
ioffg = ioffst;
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (topdwn) {
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Top-Down -- Generate Upper triangle only */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (ipack >= 5) {
|
|
kusano |
7d535a |
ipackg = 6;
|
|
kusano |
7d535a |
ioffg = uub + 1;
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
ipackg = 1;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
i__1 = ilda + 1;
|
|
kusano |
7d535a |
dcopy_(&mnmin, &d[1], &c__1, &a[1 - iskew + ioffg + a_dim1], &
|
|
kusano |
7d535a |
i__1);
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
i__1 = uub;
|
|
kusano |
7d535a |
for (k = 1; k <= i__1; ++k) {
|
|
kusano |
7d535a |
i__4 = *n - 1;
|
|
kusano |
7d535a |
for (jc = 1; jc <= i__4; ++jc) {
|
|
kusano |
7d535a |
/* Computing MAX */
|
|
kusano |
7d535a |
i__2 = 1, i__3 = jc - k;
|
|
kusano |
7d535a |
irow = max(i__2,i__3);
|
|
kusano |
7d535a |
/* Computing MIN */
|
|
kusano |
7d535a |
i__2 = jc + 1, i__3 = k + 2;
|
|
kusano |
7d535a |
il = min(i__2,i__3);
|
|
kusano |
7d535a |
extra = 0.;
|
|
kusano |
7d535a |
temp = a[jc - iskew * (jc + 1) + ioffg + (jc + 1) *
|
|
kusano |
7d535a |
a_dim1];
|
|
kusano |
7d535a |
angle = dlarnd_(&c__1, &iseed[1]) *
|
|
kusano |
7d535a |
6.2831853071795864769252867663;
|
|
kusano |
7d535a |
c = cos(angle);
|
|
kusano |
7d535a |
s = sin(angle);
|
|
kusano |
7d535a |
L__1 = jc > k;
|
|
kusano |
7d535a |
dlarot_(&c_false, &L__1, &c_true, &il, &c, &s, &a[
|
|
kusano |
7d535a |
irow - iskew * jc + ioffg + jc * a_dim1], &
|
|
kusano |
7d535a |
ilda, &extra, &temp);
|
|
kusano |
7d535a |
/* Computing MIN */
|
|
kusano |
7d535a |
i__3 = k, i__5 = *n - jc;
|
|
kusano |
7d535a |
i__2 = min(i__3,i__5) + 1;
|
|
kusano |
7d535a |
dlarot_(&c_true, &c_true, &c_false, &i__2, &c, &s, &a[
|
|
kusano |
7d535a |
(1 - iskew) * jc + ioffg + jc * a_dim1], &
|
|
kusano |
7d535a |
ilda, &temp, &dummy);
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Chase EXTRA back up the matrix
|
|
kusano |
7d535a |
*/
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
icol = jc;
|
|
kusano |
7d535a |
i__2 = -k;
|
|
kusano |
7d535a |
for (jch = jc - k; i__2 < 0 ? jch >= 1 : jch <= 1;
|
|
kusano |
7d535a |
jch += i__2) {
|
|
kusano |
7d535a |
dlartg_(&a[jch + 1 - iskew * (icol + 1) + ioffg +
|
|
kusano |
7d535a |
(icol + 1) * a_dim1], &extra, &c, &s, &
|
|
kusano |
7d535a |
dummy);
|
|
kusano |
7d535a |
temp = a[jch - iskew * (jch + 1) + ioffg + (jch +
|
|
kusano |
7d535a |
1) * a_dim1];
|
|
kusano |
7d535a |
i__3 = k + 2;
|
|
kusano |
7d535a |
d__1 = -s;
|
|
kusano |
7d535a |
dlarot_(&c_true, &c_true, &c_true, &i__3, &c, &
|
|
kusano |
7d535a |
d__1, &a[(1 - iskew) * jch + ioffg + jch *
|
|
kusano |
7d535a |
a_dim1], &ilda, &temp, &extra);
|
|
kusano |
7d535a |
/* Computing MAX */
|
|
kusano |
7d535a |
i__3 = 1, i__5 = jch - k;
|
|
kusano |
7d535a |
irow = max(i__3,i__5);
|
|
kusano |
7d535a |
/* Computing MIN */
|
|
kusano |
7d535a |
i__3 = jch + 1, i__5 = k + 2;
|
|
kusano |
7d535a |
il = min(i__3,i__5);
|
|
kusano |
7d535a |
extra = 0.;
|
|
kusano |
7d535a |
L__1 = jch > k;
|
|
kusano |
7d535a |
d__1 = -s;
|
|
kusano |
7d535a |
dlarot_(&c_false, &L__1, &c_true, &il, &c, &d__1,
|
|
kusano |
7d535a |
&a[irow - iskew * jch + ioffg + jch *
|
|
kusano |
7d535a |
a_dim1], &ilda, &extra, &temp);
|
|
kusano |
7d535a |
icol = jch;
|
|
kusano |
7d535a |
/* L150: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L160: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L170: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* If we need lower triangle, copy from upper. No
|
|
kusano |
7d535a |
te that
|
|
kusano |
7d535a |
the order of copying is chosen to work for 'q'
|
|
kusano |
7d535a |
-> 'b' */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (ipack != ipackg && ipack != 3) {
|
|
kusano |
7d535a |
i__1 = *n;
|
|
kusano |
7d535a |
for (jc = 1; jc <= i__1; ++jc) {
|
|
kusano |
7d535a |
irow = ioffst - iskew * jc;
|
|
kusano |
7d535a |
/* Computing MIN */
|
|
kusano |
7d535a |
i__2 = *n, i__3 = jc + uub;
|
|
kusano |
7d535a |
i__4 = min(i__2,i__3);
|
|
kusano |
7d535a |
for (jr = jc; jr <= i__4; ++jr) {
|
|
kusano |
7d535a |
a[jr + irow + jc * a_dim1] = a[jc - iskew * jr +
|
|
kusano |
7d535a |
ioffg + jr * a_dim1];
|
|
kusano |
7d535a |
/* L180: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L190: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
if (ipack == 5) {
|
|
kusano |
7d535a |
i__1 = *n;
|
|
kusano |
7d535a |
for (jc = *n - uub + 1; jc <= i__1; ++jc) {
|
|
kusano |
7d535a |
i__4 = uub + 1;
|
|
kusano |
7d535a |
for (jr = *n + 2 - jc; jr <= i__4; ++jr) {
|
|
kusano |
7d535a |
a[jr + jc * a_dim1] = 0.;
|
|
kusano |
7d535a |
/* L200: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L210: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
if (ipackg == 6) {
|
|
kusano |
7d535a |
ipackg = ipack;
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
ipackg = 0;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Bottom-Up -- Generate Lower triangle only */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (ipack >= 5) {
|
|
kusano |
7d535a |
ipackg = 5;
|
|
kusano |
7d535a |
if (ipack == 6) {
|
|
kusano |
7d535a |
ioffg = 1;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
ipackg = 2;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
i__1 = ilda + 1;
|
|
kusano |
7d535a |
dcopy_(&mnmin, &d[1], &c__1, &a[1 - iskew + ioffg + a_dim1], &
|
|
kusano |
7d535a |
i__1);
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
i__1 = uub;
|
|
kusano |
7d535a |
for (k = 1; k <= i__1; ++k) {
|
|
kusano |
7d535a |
for (jc = *n - 1; jc >= 1; --jc) {
|
|
kusano |
7d535a |
/* Computing MIN */
|
|
kusano |
7d535a |
i__4 = *n + 1 - jc, i__2 = k + 2;
|
|
kusano |
7d535a |
il = min(i__4,i__2);
|
|
kusano |
7d535a |
extra = 0.;
|
|
kusano |
7d535a |
temp = a[(1 - iskew) * jc + 1 + ioffg + jc * a_dim1];
|
|
kusano |
7d535a |
angle = dlarnd_(&c__1, &iseed[1]) *
|
|
kusano |
7d535a |
6.2831853071795864769252867663;
|
|
kusano |
7d535a |
c = cos(angle);
|
|
kusano |
7d535a |
s = -sin(angle);
|
|
kusano |
7d535a |
L__1 = *n - jc > k;
|
|
kusano |
7d535a |
dlarot_(&c_false, &c_true, &L__1, &il, &c, &s, &a[(1
|
|
kusano |
7d535a |
- iskew) * jc + ioffg + jc * a_dim1], &ilda, &
|
|
kusano |
7d535a |
temp, &extra);
|
|
kusano |
7d535a |
/* Computing MAX */
|
|
kusano |
7d535a |
i__4 = 1, i__2 = jc - k + 1;
|
|
kusano |
7d535a |
icol = max(i__4,i__2);
|
|
kusano |
7d535a |
i__4 = jc + 2 - icol;
|
|
kusano |
7d535a |
dlarot_(&c_true, &c_false, &c_true, &i__4, &c, &s, &a[
|
|
kusano |
7d535a |
jc - iskew * icol + ioffg + icol * a_dim1], &
|
|
kusano |
7d535a |
ilda, &dummy, &temp);
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Chase EXTRA back down the matrix
|
|
kusano |
7d535a |
*/
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
icol = jc;
|
|
kusano |
7d535a |
i__4 = *n - 1;
|
|
kusano |
7d535a |
i__2 = k;
|
|
kusano |
7d535a |
for (jch = jc + k; i__2 < 0 ? jch >= i__4 : jch <=
|
|
kusano |
7d535a |
i__4; jch += i__2) {
|
|
kusano |
7d535a |
dlartg_(&a[jch - iskew * icol + ioffg + icol *
|
|
kusano |
7d535a |
a_dim1], &extra, &c, &s, &dummy);
|
|
kusano |
7d535a |
temp = a[(1 - iskew) * jch + 1 + ioffg + jch *
|
|
kusano |
7d535a |
a_dim1];
|
|
kusano |
7d535a |
i__3 = k + 2;
|
|
kusano |
7d535a |
dlarot_(&c_true, &c_true, &c_true, &i__3, &c, &s,
|
|
kusano |
7d535a |
&a[jch - iskew * icol + ioffg + icol *
|
|
kusano |
7d535a |
a_dim1], &ilda, &extra, &temp);
|
|
kusano |
7d535a |
/* Computing MIN */
|
|
kusano |
7d535a |
i__3 = *n + 1 - jch, i__5 = k + 2;
|
|
kusano |
7d535a |
il = min(i__3,i__5);
|
|
kusano |
7d535a |
extra = 0.;
|
|
kusano |
7d535a |
L__1 = *n - jch > k;
|
|
kusano |
7d535a |
dlarot_(&c_false, &c_true, &L__1, &il, &c, &s, &a[
|
|
kusano |
7d535a |
(1 - iskew) * jch + ioffg + jch * a_dim1],
|
|
kusano |
7d535a |
&ilda, &temp, &extra);
|
|
kusano |
7d535a |
icol = jch;
|
|
kusano |
7d535a |
/* L220: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L230: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L240: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* If we need upper triangle, copy from lower. No
|
|
kusano |
7d535a |
te that
|
|
kusano |
7d535a |
the order of copying is chosen to work for 'b'
|
|
kusano |
7d535a |
-> 'q' */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (ipack != ipackg && ipack != 4) {
|
|
kusano |
7d535a |
for (jc = *n; jc >= 1; --jc) {
|
|
kusano |
7d535a |
irow = ioffst - iskew * jc;
|
|
kusano |
7d535a |
/* Computing MAX */
|
|
kusano |
7d535a |
i__2 = 1, i__4 = jc - uub;
|
|
kusano |
7d535a |
i__1 = max(i__2,i__4);
|
|
kusano |
7d535a |
for (jr = jc; jr >= i__1; --jr) {
|
|
kusano |
7d535a |
a[jr + irow + jc * a_dim1] = a[jc - iskew * jr +
|
|
kusano |
7d535a |
ioffg + jr * a_dim1];
|
|
kusano |
7d535a |
/* L250: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L260: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
if (ipack == 6) {
|
|
kusano |
7d535a |
i__1 = uub;
|
|
kusano |
7d535a |
for (jc = 1; jc <= i__1; ++jc) {
|
|
kusano |
7d535a |
i__2 = uub + 1 - jc;
|
|
kusano |
7d535a |
for (jr = 1; jr <= i__2; ++jr) {
|
|
kusano |
7d535a |
a[jr + jc * a_dim1] = 0.;
|
|
kusano |
7d535a |
/* L270: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L280: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
if (ipackg == 5) {
|
|
kusano |
7d535a |
ipackg = ipack;
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
ipackg = 0;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* 4) Generate Banded Matrix by first
|
|
kusano |
7d535a |
Rotating by random Unitary matrices,
|
|
kusano |
7d535a |
then reducing the bandwidth using Householder
|
|
kusano |
7d535a |
transformations.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
Note: we should get here only if LDA .ge. N */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (isym == 1) {
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Non-symmetric -- A = U D V */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
dlagge_(&mr, &nc, &llb, &uub, &d[1], &a[a_offset], lda, &iseed[1],
|
|
kusano |
7d535a |
&work[1], &iinfo);
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Symmetric -- A = U D U' */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
dlagsy_(m, &llb, &d[1], &a[a_offset], lda, &iseed[1], &work[1], &
|
|
kusano |
7d535a |
iinfo);
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
if (iinfo != 0) {
|
|
kusano |
7d535a |
*info = 3;
|
|
kusano |
7d535a |
return 0;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* 5) Pack the matrix */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (ipack != ipackg) {
|
|
kusano |
7d535a |
if (ipack == 1) {
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* 'U' -- Upper triangular, not packed */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
i__1 = *m;
|
|
kusano |
7d535a |
for (j = 1; j <= i__1; ++j) {
|
|
kusano |
7d535a |
i__2 = *m;
|
|
kusano |
7d535a |
for (i = j + 1; i <= i__2; ++i) {
|
|
kusano |
7d535a |
a[i + j * a_dim1] = 0.;
|
|
kusano |
7d535a |
/* L290: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L300: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
} else if (ipack == 2) {
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* 'L' -- Lower triangular, not packed */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
i__1 = *m;
|
|
kusano |
7d535a |
for (j = 2; j <= i__1; ++j) {
|
|
kusano |
7d535a |
i__2 = j - 1;
|
|
kusano |
7d535a |
for (i = 1; i <= i__2; ++i) {
|
|
kusano |
7d535a |
a[i + j * a_dim1] = 0.;
|
|
kusano |
7d535a |
/* L310: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L320: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
} else if (ipack == 3) {
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* 'C' -- Upper triangle packed Columnwise. */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
icol = 1;
|
|
kusano |
7d535a |
irow = 0;
|
|
kusano |
7d535a |
i__1 = *m;
|
|
kusano |
7d535a |
for (j = 1; j <= i__1; ++j) {
|
|
kusano |
7d535a |
i__2 = j;
|
|
kusano |
7d535a |
for (i = 1; i <= i__2; ++i) {
|
|
kusano |
7d535a |
++irow;
|
|
kusano |
7d535a |
if (irow > *lda) {
|
|
kusano |
7d535a |
irow = 1;
|
|
kusano |
7d535a |
++icol;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
a[irow + icol * a_dim1] = a[i + j * a_dim1];
|
|
kusano |
7d535a |
/* L330: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L340: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
} else if (ipack == 4) {
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* 'R' -- Lower triangle packed Columnwise. */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
icol = 1;
|
|
kusano |
7d535a |
irow = 0;
|
|
kusano |
7d535a |
i__1 = *m;
|
|
kusano |
7d535a |
for (j = 1; j <= i__1; ++j) {
|
|
kusano |
7d535a |
i__2 = *m;
|
|
kusano |
7d535a |
for (i = j; i <= i__2; ++i) {
|
|
kusano |
7d535a |
++irow;
|
|
kusano |
7d535a |
if (irow > *lda) {
|
|
kusano |
7d535a |
irow = 1;
|
|
kusano |
7d535a |
++icol;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
a[irow + icol * a_dim1] = a[i + j * a_dim1];
|
|
kusano |
7d535a |
/* L350: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L360: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
} else if (ipack >= 5) {
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* 'B' -- The lower triangle is packed as a band matrix.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
'Q' -- The upper triangle is packed as a band matrix.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
'Z' -- The whole matrix is packed as a band matrix.
|
|
kusano |
7d535a |
*/
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (ipack == 5) {
|
|
kusano |
7d535a |
uub = 0;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
if (ipack == 6) {
|
|
kusano |
7d535a |
llb = 0;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
i__1 = uub;
|
|
kusano |
7d535a |
for (j = 1; j <= i__1; ++j) {
|
|
kusano |
7d535a |
/* Computing MIN */
|
|
kusano |
7d535a |
i__2 = j + llb;
|
|
kusano |
7d535a |
for (i = min(i__2,*m); i >= 1; --i) {
|
|
kusano |
7d535a |
a[i - j + uub + 1 + j * a_dim1] = a[i + j * a_dim1];
|
|
kusano |
7d535a |
/* L370: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L380: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
i__1 = *n;
|
|
kusano |
7d535a |
for (j = uub + 2; j <= i__1; ++j) {
|
|
kusano |
7d535a |
/* Computing MIN */
|
|
kusano |
7d535a |
i__4 = j + llb;
|
|
kusano |
7d535a |
i__2 = min(i__4,*m);
|
|
kusano |
7d535a |
for (i = j - uub; i <= i__2; ++i) {
|
|
kusano |
7d535a |
a[i - j + uub + 1 + j * a_dim1] = a[i + j * a_dim1];
|
|
kusano |
7d535a |
/* L390: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L400: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* If packed, zero out extraneous elements.
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
Symmetric/Triangular Packed --
|
|
kusano |
7d535a |
zero out everything after A(IROW,ICOL) */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (ipack == 3 || ipack == 4) {
|
|
kusano |
7d535a |
i__1 = *m;
|
|
kusano |
7d535a |
for (jc = icol; jc <= i__1; ++jc) {
|
|
kusano |
7d535a |
i__2 = *lda;
|
|
kusano |
7d535a |
for (jr = irow + 1; jr <= i__2; ++jr) {
|
|
kusano |
7d535a |
a[jr + jc * a_dim1] = 0.;
|
|
kusano |
7d535a |
/* L410: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
irow = 0;
|
|
kusano |
7d535a |
/* L420: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
} else if (ipack >= 5) {
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Packed Band --
|
|
kusano |
7d535a |
1st row is now in A( UUB+2-j, j), zero above it
|
|
kusano |
7d535a |
m-th row is now in A( M+UUB-j,j), zero below it
|
|
kusano |
7d535a |
last non-zero diagonal is now in A( UUB+LLB+1,j ),
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
zero below it, too. */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
ir1 = uub + llb + 2;
|
|
kusano |
7d535a |
ir2 = uub + *m + 2;
|
|
kusano |
7d535a |
i__1 = *n;
|
|
kusano |
7d535a |
for (jc = 1; jc <= i__1; ++jc) {
|
|
kusano |
7d535a |
i__2 = uub + 1 - jc;
|
|
kusano |
7d535a |
for (jr = 1; jr <= i__2; ++jr) {
|
|
kusano |
7d535a |
a[jr + jc * a_dim1] = 0.;
|
|
kusano |
7d535a |
/* L430: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* Computing MAX
|
|
kusano |
7d535a |
Computing MIN */
|
|
kusano |
7d535a |
i__3 = ir1, i__5 = ir2 - jc;
|
|
kusano |
7d535a |
i__2 = 1, i__4 = min(i__3,i__5);
|
|
kusano |
7d535a |
i__6 = *lda;
|
|
kusano |
7d535a |
for (jr = max(i__2,i__4); jr <= i__6; ++jr) {
|
|
kusano |
7d535a |
a[jr + jc * a_dim1] = 0.;
|
|
kusano |
7d535a |
/* L440: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
/* L450: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
return 0;
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* End of DLATMS */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
} /* dlatms_ */
|
|
kusano |
7d535a |
|