1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
|
#include "rb_lapack.h"
extern VOID ctptri_(char* uplo, char* diag, integer* n, complex* ap, integer* info);
static VALUE
rblapack_ctptri(int argc, VALUE *argv, VALUE self){
VALUE rblapack_uplo;
char uplo;
VALUE rblapack_diag;
char diag;
VALUE rblapack_n;
integer n;
VALUE rblapack_ap;
complex *ap;
VALUE rblapack_info;
integer info;
VALUE rblapack_ap_out__;
complex *ap_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, ap = NumRu::Lapack.ctptri( uplo, diag, n, ap, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE CTPTRI( UPLO, DIAG, N, AP, INFO )\n\n* Purpose\n* =======\n*\n* CTPTRI computes the inverse of a complex upper or lower triangular\n* matrix A stored in packed format.\n*\n\n* Arguments\n* =========\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* AP (input/output) COMPLEX array, dimension (N*(N+1)/2)\n* On entry, the upper or lower triangular matrix A, stored\n* columnwise in a linear array. The j-th column of A is stored\n* in the array AP as follows:\n* if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;\n* if UPLO = 'L', AP(i + (j-1)*((2*n-j)/2) = A(i,j) for j<=i<=n.\n* See below for further details.\n* On exit, the (triangular) inverse of the original matrix, in\n* the same packed 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* A triangular matrix A can be transferred to packed storage using one\n* of the following program segments:\n*\n* UPLO = 'U': UPLO = 'L':\n*\n* JC = 1 JC = 1\n* DO 2 J = 1, N DO 2 J = 1, N\n* DO 1 I = 1, J DO 1 I = J, N\n* AP(JC+I-1) = A(I,J) AP(JC+I-J) = A(I,J)\n* 1 CONTINUE 1 CONTINUE\n* JC = JC + J JC = JC + N - J + 1\n* 2 CONTINUE 2 CONTINUE\n*\n* =====================================================================\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n info, ap = NumRu::Lapack.ctptri( uplo, diag, n, ap, [:usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 4 && argc != 4)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 4)", argc);
rblapack_uplo = argv[0];
rblapack_diag = argv[1];
rblapack_n = argv[2];
rblapack_ap = argv[3];
if (argc == 4) {
} else if (rblapack_options != Qnil) {
} else {
}
uplo = StringValueCStr(rblapack_uplo)[0];
n = NUM2INT(rblapack_n);
diag = StringValueCStr(rblapack_diag)[0];
if (!NA_IsNArray(rblapack_ap))
rb_raise(rb_eArgError, "ap (4th argument) must be NArray");
if (NA_RANK(rblapack_ap) != 1)
rb_raise(rb_eArgError, "rank of ap (4th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_ap) != (n*(n+1)/2))
rb_raise(rb_eRuntimeError, "shape 0 of ap must be %d", n*(n+1)/2);
if (NA_TYPE(rblapack_ap) != NA_SCOMPLEX)
rblapack_ap = na_change_type(rblapack_ap, NA_SCOMPLEX);
ap = NA_PTR_TYPE(rblapack_ap, complex*);
{
na_shape_t shape[1];
shape[0] = n*(n+1)/2;
rblapack_ap_out__ = na_make_object(NA_SCOMPLEX, 1, shape, cNArray);
}
ap_out__ = NA_PTR_TYPE(rblapack_ap_out__, complex*);
MEMCPY(ap_out__, ap, complex, NA_TOTAL(rblapack_ap));
rblapack_ap = rblapack_ap_out__;
ap = ap_out__;
ctptri_(&uplo, &diag, &n, ap, &info);
rblapack_info = INT2NUM(info);
return rb_ary_new3(2, rblapack_info, rblapack_ap);
}
void
init_lapack_ctptri(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "ctptri", rblapack_ctptri, -1);
}
|
