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#include "rb_lapack.h"
extern VOID ctftri_(char* transr, char* uplo, char* diag, integer* n, complex* a, integer* info);
static VALUE
rblapack_ctftri(int argc, VALUE *argv, VALUE self){
VALUE rblapack_transr;
char transr;
VALUE rblapack_uplo;
char uplo;
VALUE rblapack_diag;
char diag;
VALUE rblapack_n;
integer n;
VALUE rblapack_a;
complex *a;
VALUE rblapack_info;
integer info;
VALUE rblapack_a_out__;
complex *a_out__;
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 info, a = NumRu::Lapack.ctftri( transr, uplo, diag, n, a, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE CTFTRI( TRANSR, UPLO, DIAG, N, A, INFO )\n\n* Purpose\n* =======\n*\n* CTFTRI computes the inverse of a triangular matrix A stored in RFP\n* format.\n*\n* This is a Level 3 BLAS version of the algorithm.\n*\n\n* Arguments\n* =========\n*\n* TRANSR (input) CHARACTER*1\n* = 'N': The Normal TRANSR of RFP A is stored;\n* = 'C': The Conjugate-transpose TRANSR of RFP A is stored.\n*\n* UPLO (input) CHARACTER*1\n* = 'U': A is upper triangular;\n* = 'L': A is lower triangular.\n*\n* DIAG (input) CHARACTER*1\n* = 'N': A is non-unit triangular;\n* = 'U': A is unit triangular.\n*\n* N (input) INTEGER\n* The order of the matrix A. N >= 0.\n*\n* A (input/output) COMPLEX array, dimension ( N*(N+1)/2 );\n* On entry, the triangular matrix A in RFP format. RFP format\n* is described by TRANSR, UPLO, and N as follows: If TRANSR =\n* 'N' then RFP A is (0:N,0:k-1) when N is even; k=N/2. RFP A is\n* (0:N-1,0:k) when N is odd; k=N/2. IF TRANSR = 'C' then RFP is\n* the Conjugate-transpose of RFP A as defined when\n* TRANSR = 'N'. The contents of RFP A are defined by UPLO as\n* follows: If UPLO = 'U' the RFP A contains the nt elements of\n* upper packed A; If UPLO = 'L' the RFP A contains the nt\n* elements of lower packed A. The LDA of RFP A is (N+1)/2 when\n* TRANSR = 'C'. When TRANSR is 'N' the LDA is N+1 when N is\n* even and N is odd. See the Note below for more details.\n*\n* On exit, the (triangular) inverse of the original matrix, in\n* the same storage format.\n*\n* INFO (output) INTEGER\n* = 0: successful exit\n* < 0: if INFO = -i, the i-th argument had an illegal value\n* > 0: if INFO = i, A(i,i) is exactly zero. The triangular\n* matrix is singular and its inverse can not be computed.\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 info, a = NumRu::Lapack.ctftri( transr, uplo, diag, n, a, [:usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 5 && argc != 5)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 5)", argc);
rblapack_transr = argv[0];
rblapack_uplo = argv[1];
rblapack_diag = argv[2];
rblapack_n = argv[3];
rblapack_a = argv[4];
if (argc == 5) {
} else if (rblapack_options != Qnil) {
} else {
}
transr = StringValueCStr(rblapack_transr)[0];
diag = StringValueCStr(rblapack_diag)[0];
uplo = StringValueCStr(rblapack_uplo)[0];
n = NUM2INT(rblapack_n);
if (!NA_IsNArray(rblapack_a))
rb_raise(rb_eArgError, "a (5th argument) must be NArray");
if (NA_RANK(rblapack_a) != 1)
rb_raise(rb_eArgError, "rank of a (5th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_a) != (n*(n+1)/2))
rb_raise(rb_eRuntimeError, "shape 0 of a must be %d", n*(n+1)/2);
if (NA_TYPE(rblapack_a) != NA_SCOMPLEX)
rblapack_a = na_change_type(rblapack_a, NA_SCOMPLEX);
a = NA_PTR_TYPE(rblapack_a, complex*);
{
na_shape_t shape[1];
shape[0] = n*(n+1)/2;
rblapack_a_out__ = na_make_object(NA_SCOMPLEX, 1, 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__;
ctftri_(&transr, &uplo, &diag, &n, a, &info);
rblapack_info = INT2NUM(info);
return rb_ary_new3(2, rblapack_info, rblapack_a);
}
void
init_lapack_ctftri(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "ctftri", rblapack_ctftri, -1);
}
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