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#include "rb_lapack.h"
extern VOID slaqps_(integer* m, integer* n, integer* offset, integer* nb, integer* kb, real* a, integer* lda, integer* jpvt, real* tau, real* vn1, real* vn2, real* auxv, real* f, integer* ldf);
static VALUE
rblapack_slaqps(int argc, VALUE *argv, VALUE self){
VALUE rblapack_m;
integer m;
VALUE rblapack_offset;
integer offset;
VALUE rblapack_a;
real *a;
VALUE rblapack_jpvt;
integer *jpvt;
VALUE rblapack_vn1;
real *vn1;
VALUE rblapack_vn2;
real *vn2;
VALUE rblapack_auxv;
real *auxv;
VALUE rblapack_f;
real *f;
VALUE rblapack_kb;
integer kb;
VALUE rblapack_tau;
real *tau;
VALUE rblapack_a_out__;
real *a_out__;
VALUE rblapack_jpvt_out__;
integer *jpvt_out__;
VALUE rblapack_vn1_out__;
real *vn1_out__;
VALUE rblapack_vn2_out__;
real *vn2_out__;
VALUE rblapack_auxv_out__;
real *auxv_out__;
VALUE rblapack_f_out__;
real *f_out__;
integer lda;
integer n;
integer nb;
integer ldf;
VALUE rblapack_options;
if (argc > 0 && TYPE(argv[argc-1]) == T_HASH) {
argc--;
rblapack_options = argv[argc];
if (rb_hash_aref(rblapack_options, sHelp) == Qtrue) {
printf("%s\n", "USAGE:\n kb, tau, a, jpvt, vn1, vn2, auxv, f = NumRu::Lapack.slaqps( m, offset, a, jpvt, vn1, vn2, auxv, f, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE SLAQPS( M, N, OFFSET, NB, KB, A, LDA, JPVT, TAU, VN1, VN2, AUXV, F, LDF )\n\n* Purpose\n* =======\n*\n* SLAQPS computes a step of QR factorization with column pivoting\n* of a real M-by-N matrix A by using Blas-3. It tries to factorize\n* NB columns from A starting from the row OFFSET+1, and updates all\n* of the matrix with Blas-3 xGEMM.\n*\n* In some cases, due to catastrophic cancellations, it cannot\n* factorize NB columns. Hence, the actual number of factorized\n* columns is returned in KB.\n*\n* Block A(1:OFFSET,1:N) is accordingly pivoted, but not factorized.\n*\n\n* Arguments\n* =========\n*\n* M (input) INTEGER\n* The number of rows of the matrix A. M >= 0.\n*\n* N (input) INTEGER\n* The number of columns of the matrix A. N >= 0\n*\n* OFFSET (input) INTEGER\n* The number of rows of A that have been factorized in\n* previous steps.\n*\n* NB (input) INTEGER\n* The number of columns to factorize.\n*\n* KB (output) INTEGER\n* The number of columns actually factorized.\n*\n* A (input/output) REAL array, dimension (LDA,N)\n* On entry, the M-by-N matrix A.\n* On exit, block A(OFFSET+1:M,1:KB) is the triangular\n* factor obtained and block A(1:OFFSET,1:N) has been\n* accordingly pivoted, but no factorized.\n* The rest of the matrix, block A(OFFSET+1:M,KB+1:N) has\n* been updated.\n*\n* LDA (input) INTEGER\n* The leading dimension of the array A. LDA >= max(1,M).\n*\n* JPVT (input/output) INTEGER array, dimension (N)\n* JPVT(I) = K <==> Column K of the full matrix A has been\n* permuted into position I in AP.\n*\n* TAU (output) REAL array, dimension (KB)\n* The scalar factors of the elementary reflectors.\n*\n* VN1 (input/output) REAL array, dimension (N)\n* The vector with the partial column norms.\n*\n* VN2 (input/output) REAL array, dimension (N)\n* The vector with the exact column norms.\n*\n* AUXV (input/output) REAL array, dimension (NB)\n* Auxiliar vector.\n*\n* F (input/output) REAL array, dimension (LDF,NB)\n* Matrix F' = L*Y'*A.\n*\n* LDF (input) INTEGER\n* The leading dimension of the array F. LDF >= max(1,N).\n*\n\n* Further Details\n* ===============\n*\n* Based on contributions by\n* G. Quintana-Orti, Depto. de Informatica, Universidad Jaime I, Spain\n* X. Sun, Computer Science Dept., Duke University, USA\n*\n* Partial column norm updating strategy modified by\n* Z. Drmac and Z. Bujanovic, Dept. of Mathematics,\n* University of Zagreb, Croatia.\n* June 2010\n* For more details see LAPACK Working Note 176.\n* =====================================================================\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n kb, tau, a, jpvt, vn1, vn2, auxv, f = NumRu::Lapack.slaqps( m, offset, a, jpvt, vn1, vn2, auxv, f, [:usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 8 && argc != 8)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 8)", argc);
rblapack_m = argv[0];
rblapack_offset = argv[1];
rblapack_a = argv[2];
rblapack_jpvt = argv[3];
rblapack_vn1 = argv[4];
rblapack_vn2 = argv[5];
rblapack_auxv = argv[6];
rblapack_f = argv[7];
if (argc == 8) {
} else if (rblapack_options != Qnil) {
} else {
}
m = NUM2INT(rblapack_m);
if (!NA_IsNArray(rblapack_a))
rb_raise(rb_eArgError, "a (3th argument) must be NArray");
if (NA_RANK(rblapack_a) != 2)
rb_raise(rb_eArgError, "rank of a (3th argument) must be %d", 2);
lda = NA_SHAPE0(rblapack_a);
n = NA_SHAPE1(rblapack_a);
if (NA_TYPE(rblapack_a) != NA_SFLOAT)
rblapack_a = na_change_type(rblapack_a, NA_SFLOAT);
a = NA_PTR_TYPE(rblapack_a, real*);
if (!NA_IsNArray(rblapack_vn1))
rb_raise(rb_eArgError, "vn1 (5th argument) must be NArray");
if (NA_RANK(rblapack_vn1) != 1)
rb_raise(rb_eArgError, "rank of vn1 (5th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_vn1) != n)
rb_raise(rb_eRuntimeError, "shape 0 of vn1 must be the same as shape 1 of a");
if (NA_TYPE(rblapack_vn1) != NA_SFLOAT)
rblapack_vn1 = na_change_type(rblapack_vn1, NA_SFLOAT);
vn1 = NA_PTR_TYPE(rblapack_vn1, real*);
if (!NA_IsNArray(rblapack_auxv))
rb_raise(rb_eArgError, "auxv (7th argument) must be NArray");
if (NA_RANK(rblapack_auxv) != 1)
rb_raise(rb_eArgError, "rank of auxv (7th argument) must be %d", 1);
nb = NA_SHAPE0(rblapack_auxv);
if (NA_TYPE(rblapack_auxv) != NA_SFLOAT)
rblapack_auxv = na_change_type(rblapack_auxv, NA_SFLOAT);
auxv = NA_PTR_TYPE(rblapack_auxv, real*);
offset = NUM2INT(rblapack_offset);
if (!NA_IsNArray(rblapack_vn2))
rb_raise(rb_eArgError, "vn2 (6th argument) must be NArray");
if (NA_RANK(rblapack_vn2) != 1)
rb_raise(rb_eArgError, "rank of vn2 (6th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_vn2) != n)
rb_raise(rb_eRuntimeError, "shape 0 of vn2 must be the same as shape 1 of a");
if (NA_TYPE(rblapack_vn2) != NA_SFLOAT)
rblapack_vn2 = na_change_type(rblapack_vn2, NA_SFLOAT);
vn2 = NA_PTR_TYPE(rblapack_vn2, real*);
if (!NA_IsNArray(rblapack_jpvt))
rb_raise(rb_eArgError, "jpvt (4th argument) must be NArray");
if (NA_RANK(rblapack_jpvt) != 1)
rb_raise(rb_eArgError, "rank of jpvt (4th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_jpvt) != n)
rb_raise(rb_eRuntimeError, "shape 0 of jpvt must be the same as shape 1 of a");
if (NA_TYPE(rblapack_jpvt) != NA_LINT)
rblapack_jpvt = na_change_type(rblapack_jpvt, NA_LINT);
jpvt = NA_PTR_TYPE(rblapack_jpvt, integer*);
if (!NA_IsNArray(rblapack_f))
rb_raise(rb_eArgError, "f (8th argument) must be NArray");
if (NA_RANK(rblapack_f) != 2)
rb_raise(rb_eArgError, "rank of f (8th argument) must be %d", 2);
ldf = NA_SHAPE0(rblapack_f);
if (NA_SHAPE1(rblapack_f) != nb)
rb_raise(rb_eRuntimeError, "shape 1 of f must be the same as shape 0 of auxv");
if (NA_TYPE(rblapack_f) != NA_SFLOAT)
rblapack_f = na_change_type(rblapack_f, NA_SFLOAT);
f = NA_PTR_TYPE(rblapack_f, real*);
kb = nb;
{
na_shape_t shape[1];
shape[0] = kb;
rblapack_tau = na_make_object(NA_SFLOAT, 1, shape, cNArray);
}
tau = NA_PTR_TYPE(rblapack_tau, real*);
{
na_shape_t shape[2];
shape[0] = lda;
shape[1] = n;
rblapack_a_out__ = na_make_object(NA_SFLOAT, 2, shape, cNArray);
}
a_out__ = NA_PTR_TYPE(rblapack_a_out__, real*);
MEMCPY(a_out__, a, real, NA_TOTAL(rblapack_a));
rblapack_a = rblapack_a_out__;
a = a_out__;
{
na_shape_t shape[1];
shape[0] = n;
rblapack_jpvt_out__ = na_make_object(NA_LINT, 1, shape, cNArray);
}
jpvt_out__ = NA_PTR_TYPE(rblapack_jpvt_out__, integer*);
MEMCPY(jpvt_out__, jpvt, integer, NA_TOTAL(rblapack_jpvt));
rblapack_jpvt = rblapack_jpvt_out__;
jpvt = jpvt_out__;
{
na_shape_t shape[1];
shape[0] = n;
rblapack_vn1_out__ = na_make_object(NA_SFLOAT, 1, shape, cNArray);
}
vn1_out__ = NA_PTR_TYPE(rblapack_vn1_out__, real*);
MEMCPY(vn1_out__, vn1, real, NA_TOTAL(rblapack_vn1));
rblapack_vn1 = rblapack_vn1_out__;
vn1 = vn1_out__;
{
na_shape_t shape[1];
shape[0] = n;
rblapack_vn2_out__ = na_make_object(NA_SFLOAT, 1, shape, cNArray);
}
vn2_out__ = NA_PTR_TYPE(rblapack_vn2_out__, real*);
MEMCPY(vn2_out__, vn2, real, NA_TOTAL(rblapack_vn2));
rblapack_vn2 = rblapack_vn2_out__;
vn2 = vn2_out__;
{
na_shape_t shape[1];
shape[0] = nb;
rblapack_auxv_out__ = na_make_object(NA_SFLOAT, 1, shape, cNArray);
}
auxv_out__ = NA_PTR_TYPE(rblapack_auxv_out__, real*);
MEMCPY(auxv_out__, auxv, real, NA_TOTAL(rblapack_auxv));
rblapack_auxv = rblapack_auxv_out__;
auxv = auxv_out__;
{
na_shape_t shape[2];
shape[0] = ldf;
shape[1] = nb;
rblapack_f_out__ = na_make_object(NA_SFLOAT, 2, shape, cNArray);
}
f_out__ = NA_PTR_TYPE(rblapack_f_out__, real*);
MEMCPY(f_out__, f, real, NA_TOTAL(rblapack_f));
rblapack_f = rblapack_f_out__;
f = f_out__;
slaqps_(&m, &n, &offset, &nb, &kb, a, &lda, jpvt, tau, vn1, vn2, auxv, f, &ldf);
rblapack_kb = INT2NUM(kb);
return rb_ary_new3(8, rblapack_kb, rblapack_tau, rblapack_a, rblapack_jpvt, rblapack_vn1, rblapack_vn2, rblapack_auxv, rblapack_f);
}
void
init_lapack_slaqps(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "slaqps", rblapack_slaqps, -1);
}
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