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#include "rb_lapack.h"
extern VOID strttf_(char* transr, char* uplo, integer* n, real* a, integer* lda, real* arf, integer* info);
static VALUE
rblapack_strttf(int argc, VALUE *argv, VALUE self){
VALUE rblapack_transr;
char transr;
VALUE rblapack_uplo;
char uplo;
VALUE rblapack_a;
real *a;
VALUE rblapack_arf;
real *arf;
VALUE rblapack_info;
integer info;
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 arf, info = NumRu::Lapack.strttf( transr, uplo, a, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE STRTTF( TRANSR, UPLO, N, A, LDA, ARF, INFO )\n\n* Purpose\n* =======\n*\n* STRTTF copies a triangular matrix A from standard full format (TR)\n* to rectangular full packed format (TF) .\n*\n\n* Arguments\n* =========\n*\n* TRANSR (input) CHARACTER*1\n* = 'N': ARF in Normal form is wanted;\n* = 'T': ARF in Transpose form is wanted.\n*\n* UPLO (input) CHARACTER*1\n* = 'U': Upper triangle of A is stored;\n* = 'L': Lower triangle of A is stored.\n*\n* N (input) INTEGER\n* The order of the matrix A. N >= 0.\n*\n* A (input) REAL array, dimension (LDA,N).\n* On entry, 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 matrix A. LDA >= max(1,N).\n*\n* ARF (output) REAL array, dimension (NT).\n* NT=N*(N+1)/2. On exit, the triangular matrix A in RFP format.\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 Rectangular Full Packed (RFP) Format when N is\n* even. 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* the 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* the transpose of the last three columns of AP lower.\n* This covers the case N even and TRANSR = 'N'.\n*\n* RFP A RFP A\n*\n* 03 04 05 33 43 53\n* 13 14 15 00 44 54\n* 23 24 25 10 11 55\n* 33 34 35 20 21 22\n* 00 44 45 30 31 32\n* 01 11 55 40 41 42\n* 02 12 22 50 51 52\n*\n* Now let TRANSR = 'T'. RFP A in both UPLO cases is just the\n* transpose of RFP A above. One therefore gets:\n*\n*\n* RFP A RFP A\n*\n* 03 13 23 33 00 01 02 33 00 10 20 30 40 50\n* 04 14 24 34 44 11 12 43 44 11 21 31 41 51\n* 05 15 25 35 45 55 22 53 54 55 22 32 42 52\n*\n*\n* We then consider Rectangular Full Packed (RFP) Format when N is\n* odd. 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* the 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* the transpose of the last two columns of AP lower.\n* This covers the case N odd and TRANSR = 'N'.\n*\n* RFP A RFP A\n*\n* 02 03 04 00 33 43\n* 12 13 14 10 11 44\n* 22 23 24 20 21 22\n* 00 33 34 30 31 32\n* 01 11 44 40 41 42\n*\n* Now let TRANSR = 'T'. RFP A in both UPLO cases is just the\n* transpose of RFP A above. One therefore gets:\n*\n* RFP A RFP A\n*\n* 02 12 22 00 01 00 10 20 30 40 50\n* 03 13 23 33 11 33 11 21 31 41 51\n* 04 14 24 34 44 43 44 22 32 42 52\n*\n* Reference\n* =========\n*\n* =====================================================================\n*\n* ..\n* .. Local Scalars ..\n LOGICAL LOWER, NISODD, NORMALTRANSR\n INTEGER I, IJ, J, K, L, N1, N2, NT, NX2, NP1X2\n* ..\n* .. External Functions ..\n LOGICAL LSAME\n EXTERNAL LSAME\n* ..\n* .. External Subroutines ..\n EXTERNAL XERBLA\n* ..\n* .. Intrinsic Functions ..\n INTRINSIC MAX, MOD\n* ..\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n arf, info = NumRu::Lapack.strttf( transr, uplo, a, [: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_a = argv[2];
if (argc == 3) {
} else if (rblapack_options != Qnil) {
} else {
}
transr = StringValueCStr(rblapack_transr)[0];
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*);
uplo = StringValueCStr(rblapack_uplo)[0];
{
na_shape_t shape[1];
shape[0] = n*(n+1)/2;
rblapack_arf = na_make_object(NA_SFLOAT, 1, shape, cNArray);
}
arf = NA_PTR_TYPE(rblapack_arf, real*);
strttf_(&transr, &uplo, &n, a, &lda, arf, &info);
rblapack_info = INT2NUM(info);
return rb_ary_new3(2, rblapack_arf, rblapack_info);
}
void
init_lapack_strttf(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "strttf", rblapack_strttf, -1);
}
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