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#include "rb_lapack.h"
extern VOID cgerq2_(integer* m, integer* n, complex* a, integer* lda, complex* tau, complex* work, integer* info);
static VALUE
rblapack_cgerq2(int argc, VALUE *argv, VALUE self){
VALUE rblapack_a;
complex *a;
VALUE rblapack_tau;
complex *tau;
VALUE rblapack_info;
integer info;
VALUE rblapack_a_out__;
complex *a_out__;
complex *work;
integer lda;
integer n;
integer m;
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 tau, info, a = NumRu::Lapack.cgerq2( a, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE CGERQ2( M, N, A, LDA, TAU, WORK, INFO )\n\n* Purpose\n* =======\n*\n* CGERQ2 computes an RQ factorization of a complex m by n matrix A:\n* A = R * Q.\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* A (input/output) COMPLEX array, dimension (LDA,N)\n* On entry, the m by n matrix A.\n* On exit, if m <= n, the upper triangle of the subarray\n* A(1:m,n-m+1:n) contains the m by m upper triangular matrix R;\n* if m >= n, the elements on and above the (m-n)-th subdiagonal\n* contain the m by n upper trapezoidal matrix R; the remaining\n* elements, with the array TAU, represent the unitary matrix\n* Q as a product of elementary reflectors (see Further\n* Details).\n*\n* LDA (input) INTEGER\n* The leading dimension of the array A. LDA >= max(1,M).\n*\n* TAU (output) COMPLEX array, dimension (min(M,N))\n* The scalar factors of the elementary reflectors (see Further\n* Details).\n*\n* WORK (workspace) COMPLEX array, dimension (M)\n*\n* INFO (output) INTEGER\n* = 0: successful exit\n* < 0: if INFO = -i, the i-th argument had an illegal value\n*\n\n* Further Details\n* ===============\n*\n* The matrix Q is represented as a product of elementary reflectors\n*\n* Q = H(1)' H(2)' . . . H(k)', where k = min(m,n).\n*\n* Each H(i) has the form\n*\n* H(i) = I - tau * v * v'\n*\n* where tau is a complex scalar, and v is a complex vector with\n* v(n-k+i+1:n) = 0 and v(n-k+i) = 1; conjg(v(1:n-k+i-1)) is stored on\n* exit in A(m-k+i,1:n-k+i-1), and tau in TAU(i).\n*\n* =====================================================================\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n tau, info, a = NumRu::Lapack.cgerq2( a, [:usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 1 && argc != 1)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 1)", argc);
rblapack_a = argv[0];
if (argc == 1) {
} else if (rblapack_options != Qnil) {
} else {
}
if (!NA_IsNArray(rblapack_a))
rb_raise(rb_eArgError, "a (1th argument) must be NArray");
if (NA_RANK(rblapack_a) != 2)
rb_raise(rb_eArgError, "rank of a (1th argument) must be %d", 2);
lda = NA_SHAPE0(rblapack_a);
n = NA_SHAPE1(rblapack_a);
if (NA_TYPE(rblapack_a) != NA_SCOMPLEX)
rblapack_a = na_change_type(rblapack_a, NA_SCOMPLEX);
a = NA_PTR_TYPE(rblapack_a, complex*);
m = lda;
{
na_shape_t shape[1];
shape[0] = MIN(m,n);
rblapack_tau = na_make_object(NA_SCOMPLEX, 1, shape, cNArray);
}
tau = NA_PTR_TYPE(rblapack_tau, complex*);
{
na_shape_t shape[2];
shape[0] = lda;
shape[1] = n;
rblapack_a_out__ = na_make_object(NA_SCOMPLEX, 2, shape, cNArray);
}
a_out__ = NA_PTR_TYPE(rblapack_a_out__, complex*);
MEMCPY(a_out__, a, complex, NA_TOTAL(rblapack_a));
rblapack_a = rblapack_a_out__;
a = a_out__;
work = ALLOC_N(complex, (m));
cgerq2_(&m, &n, a, &lda, tau, work, &info);
free(work);
rblapack_info = INT2NUM(info);
return rb_ary_new3(3, rblapack_tau, rblapack_info, rblapack_a);
}
void
init_lapack_cgerq2(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "cgerq2", rblapack_cgerq2, -1);
}
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