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 ctrcon_(char* norm, char* uplo, char* diag, integer* n, complex* a, integer* lda, real* rcond, complex* work, real* rwork, integer* info);
static VALUE
rblapack_ctrcon(int argc, VALUE *argv, VALUE self){
VALUE rblapack_norm;
char norm;
VALUE rblapack_uplo;
char uplo;
VALUE rblapack_diag;
char diag;
VALUE rblapack_a;
complex *a;
VALUE rblapack_rcond;
real rcond;
VALUE rblapack_info;
integer info;
complex *work;
real *rwork;
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 rcond, info = NumRu::Lapack.ctrcon( norm, uplo, diag, a, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE CTRCON( NORM, UPLO, DIAG, N, A, LDA, RCOND, WORK, RWORK, INFO )\n\n* Purpose\n* =======\n*\n* CTRCON estimates the reciprocal of the condition number of a\n* triangular matrix A, in either the 1-norm or the infinity-norm.\n*\n* The norm of A is computed and an estimate is obtained for\n* norm(inv(A)), then the reciprocal of the condition number is\n* computed as\n* RCOND = 1 / ( norm(A) * norm(inv(A)) ).\n*\n\n* Arguments\n* =========\n*\n* NORM (input) CHARACTER*1\n* Specifies whether the 1-norm condition number or the\n* infinity-norm condition number is required:\n* = '1' or 'O': 1-norm;\n* = 'I': Infinity-norm.\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) COMPLEX array, dimension (LDA,N)\n* The triangular matrix A. If UPLO = 'U', the leading N-by-N\n* upper triangular part of the array A contains the upper\n* triangular matrix, and the strictly lower triangular part of\n* A is not referenced. If UPLO = 'L', the leading N-by-N lower\n* triangular part of the array A contains the lower triangular\n* matrix, and the strictly upper triangular part of A is not\n* referenced. If DIAG = 'U', the diagonal elements of A are\n* also not referenced and are assumed to be 1.\n*\n* LDA (input) INTEGER\n* The leading dimension of the array A. LDA >= max(1,N).\n*\n* RCOND (output) REAL\n* The reciprocal of the condition number of the matrix A,\n* computed as RCOND = 1/(norm(A) * norm(inv(A))).\n*\n* WORK (workspace) COMPLEX array, dimension (2*N)\n*\n* RWORK (workspace) REAL array, dimension (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* =====================================================================\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n rcond, info = NumRu::Lapack.ctrcon( norm, uplo, diag, a, [: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_norm = argv[0];
rblapack_uplo = argv[1];
rblapack_diag = argv[2];
rblapack_a = argv[3];
if (argc == 4) {
} else if (rblapack_options != Qnil) {
} else {
}
norm = StringValueCStr(rblapack_norm)[0];
diag = StringValueCStr(rblapack_diag)[0];
uplo = StringValueCStr(rblapack_uplo)[0];
if (!NA_IsNArray(rblapack_a))
rb_raise(rb_eArgError, "a (4th argument) must be NArray");
if (NA_RANK(rblapack_a) != 2)
rb_raise(rb_eArgError, "rank of a (4th 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*);
work = ALLOC_N(complex, (2*n));
rwork = ALLOC_N(real, (n));
ctrcon_(&norm, &uplo, &diag, &n, a, &lda, &rcond, work, rwork, &info);
free(work);
free(rwork);
rblapack_rcond = rb_float_new((double)rcond);
rblapack_info = INT2NUM(info);
return rb_ary_new3(2, rblapack_rcond, rblapack_info);
}
void
init_lapack_ctrcon(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "ctrcon", rblapack_ctrcon, -1);
}
|
