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#include "rb_lapack.h"
extern VOID ctfttr_(char* transr, char* uplo, integer* n, complex* arf, complex* a, integer* lda, integer* info);
static VALUE
rblapack_ctfttr(int argc, VALUE *argv, VALUE self){
VALUE rblapack_transr;
char transr;
VALUE rblapack_uplo;
char uplo;
VALUE rblapack_arf;
complex *arf;
VALUE rblapack_a;
complex *a;
VALUE rblapack_info;
integer info;
integer ldarf;
integer lda;
integer n;
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 a, info = NumRu::Lapack.ctfttr( transr, uplo, arf, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE CTFTTR( TRANSR, UPLO, N, ARF, A, LDA, INFO )\n\n* Purpose\n* =======\n*\n* CTFTTR copies a triangular matrix A from rectangular full packed\n* format (TF) to standard full format (TR).\n*\n\n* Arguments\n* =========\n*\n* TRANSR (input) CHARACTER*1\n* = 'N': ARF is in Normal format;\n* = 'C': ARF is in Conjugate-transpose format;\n*\n* UPLO (input) CHARACTER*1\n* = 'U': A is upper triangular;\n* = 'L': A is lower triangular.\n*\n* N (input) INTEGER\n* The order of the matrix A. N >= 0.\n*\n* ARF (input) COMPLEX array, dimension ( N*(N+1)/2 ),\n* On entry, the upper or lower triangular matrix A stored in\n* RFP format. For a further discussion see Notes below.\n*\n* A (output) COMPLEX array, dimension ( LDA, N ) \n* On exit, the triangular matrix A. If UPLO = 'U', the\n* leading N-by-N upper triangular part of the array A contains\n* the upper triangular matrix, and the strictly lower\n* triangular part of A is not referenced. If UPLO = 'L', the\n* leading N-by-N lower triangular part of the array A contains\n* the lower triangular matrix, and the strictly upper\n* triangular part of A is not referenced.\n*\n* LDA (input) INTEGER\n* The leading dimension of the array A. LDA >= max(1,N).\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* We first consider Standard Packed Format when N is even.\n* We give an example where N = 6.\n*\n* AP is Upper AP is Lower\n*\n* 00 01 02 03 04 05 00\n* 11 12 13 14 15 10 11\n* 22 23 24 25 20 21 22\n* 33 34 35 30 31 32 33\n* 44 45 40 41 42 43 44\n* 55 50 51 52 53 54 55\n*\n*\n* Let TRANSR = 'N'. RFP holds AP as follows:\n* For UPLO = 'U' the upper trapezoid A(0:5,0:2) consists of the last\n* three columns of AP upper. The lower triangle A(4:6,0:2) consists of\n* conjugate-transpose of the first three columns of AP upper.\n* For UPLO = 'L' the lower trapezoid A(1:6,0:2) consists of the first\n* three columns of AP lower. The upper triangle A(0:2,0:2) consists of\n* conjugate-transpose of the last three columns of AP lower.\n* To denote conjugate we place -- above the element. This covers the\n* case N even and TRANSR = 'N'.\n*\n* RFP A RFP A\n*\n* -- -- --\n* 03 04 05 33 43 53\n* -- --\n* 13 14 15 00 44 54\n* --\n* 23 24 25 10 11 55\n*\n* 33 34 35 20 21 22\n* --\n* 00 44 45 30 31 32\n* -- --\n* 01 11 55 40 41 42\n* -- -- --\n* 02 12 22 50 51 52\n*\n* Now let TRANSR = 'C'. RFP A in both UPLO cases is just the conjugate-\n* transpose of RFP A above. One therefore gets:\n*\n*\n* RFP A RFP A\n*\n* -- -- -- -- -- -- -- -- -- --\n* 03 13 23 33 00 01 02 33 00 10 20 30 40 50\n* -- -- -- -- -- -- -- -- -- --\n* 04 14 24 34 44 11 12 43 44 11 21 31 41 51\n* -- -- -- -- -- -- -- -- -- --\n* 05 15 25 35 45 55 22 53 54 55 22 32 42 52\n*\n*\n* We next consider Standard Packed Format when N is odd.\n* We give an example where N = 5.\n*\n* AP is Upper AP is Lower\n*\n* 00 01 02 03 04 00\n* 11 12 13 14 10 11\n* 22 23 24 20 21 22\n* 33 34 30 31 32 33\n* 44 40 41 42 43 44\n*\n*\n* Let TRANSR = 'N'. RFP holds AP as follows:\n* For UPLO = 'U' the upper trapezoid A(0:4,0:2) consists of the last\n* three columns of AP upper. The lower triangle A(3:4,0:1) consists of\n* conjugate-transpose of the first two columns of AP upper.\n* For UPLO = 'L' the lower trapezoid A(0:4,0:2) consists of the first\n* three columns of AP lower. The upper triangle A(0:1,1:2) consists of\n* conjugate-transpose of the last two columns of AP lower.\n* To denote conjugate we place -- above the element. This covers the\n* case N odd and TRANSR = 'N'.\n*\n* RFP A RFP A\n*\n* -- --\n* 02 03 04 00 33 43\n* --\n* 12 13 14 10 11 44\n*\n* 22 23 24 20 21 22\n* --\n* 00 33 34 30 31 32\n* -- --\n* 01 11 44 40 41 42\n*\n* Now let TRANSR = 'C'. RFP A in both UPLO cases is just the conjugate-\n* transpose of RFP A above. One therefore gets:\n*\n*\n* RFP A RFP A\n*\n* -- -- -- -- -- -- -- -- --\n* 02 12 22 00 01 00 10 20 30 40 50\n* -- -- -- -- -- -- -- -- --\n* 03 13 23 33 11 33 11 21 31 41 51\n* -- -- -- -- -- -- -- -- --\n* 04 14 24 34 44 43 44 22 32 42 52\n*\n* =====================================================================\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n a, info = NumRu::Lapack.ctfttr( transr, uplo, arf, [:usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 3 && argc != 3)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 3)", argc);
rblapack_transr = argv[0];
rblapack_uplo = argv[1];
rblapack_arf = argv[2];
if (argc == 3) {
} else if (rblapack_options != Qnil) {
} else {
}
transr = StringValueCStr(rblapack_transr)[0];
if (!NA_IsNArray(rblapack_arf))
rb_raise(rb_eArgError, "arf (3th argument) must be NArray");
if (NA_RANK(rblapack_arf) != 1)
rb_raise(rb_eArgError, "rank of arf (3th argument) must be %d", 1);
ldarf = NA_SHAPE0(rblapack_arf);
if (NA_TYPE(rblapack_arf) != NA_SCOMPLEX)
rblapack_arf = na_change_type(rblapack_arf, NA_SCOMPLEX);
arf = NA_PTR_TYPE(rblapack_arf, complex*);
n = ((int)sqrtf(ldarf*8+1.0f)-1)/2;
uplo = StringValueCStr(rblapack_uplo)[0];
lda = MAX(1,n);
{
na_shape_t shape[2];
shape[0] = lda;
shape[1] = n;
rblapack_a = na_make_object(NA_SCOMPLEX, 2, shape, cNArray);
}
a = NA_PTR_TYPE(rblapack_a, complex*);
ctfttr_(&transr, &uplo, &n, arf, a, &lda, &info);
rblapack_info = INT2NUM(info);
return rb_ary_new3(2, rblapack_a, rblapack_info);
}
void
init_lapack_ctfttr(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "ctfttr", rblapack_ctfttr, -1);
}
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