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 dtpcon_(char* norm, char* uplo, char* diag, integer* n, doublereal* ap, doublereal* rcond, doublereal* work, integer* iwork, integer* info);
static VALUE
rblapack_dtpcon(int argc, VALUE *argv, VALUE self){
VALUE rblapack_norm;
char norm;
VALUE rblapack_uplo;
char uplo;
VALUE rblapack_diag;
char diag;
VALUE rblapack_ap;
doublereal *ap;
VALUE rblapack_rcond;
doublereal rcond;
VALUE rblapack_info;
integer info;
doublereal *work;
integer *iwork;
integer ldap;
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.dtpcon( norm, uplo, diag, ap, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE DTPCON( NORM, UPLO, DIAG, N, AP, RCOND, WORK, IWORK, INFO )\n\n* Purpose\n* =======\n*\n* DTPCON estimates the reciprocal of the condition number of a packed\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* AP (input) DOUBLE PRECISION array, dimension (N*(N+1)/2)\n* The upper or lower triangular matrix A, packed columnwise in\n* a linear array. The j-th column of A is stored in the array\n* 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)*(2n-j)/2) = A(i,j) for j<=i<=n.\n* If DIAG = 'U', the diagonal elements of A are not referenced\n* and are assumed to be 1.\n*\n* RCOND (output) DOUBLE PRECISION\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) DOUBLE PRECISION array, dimension (3*N)\n*\n* IWORK (workspace) INTEGER 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.dtpcon( norm, uplo, diag, 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_norm = argv[0];
rblapack_uplo = argv[1];
rblapack_diag = argv[2];
rblapack_ap = 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_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);
ldap = NA_SHAPE0(rblapack_ap);
if (NA_TYPE(rblapack_ap) != NA_DFLOAT)
rblapack_ap = na_change_type(rblapack_ap, NA_DFLOAT);
ap = NA_PTR_TYPE(rblapack_ap, doublereal*);
n = ((int)sqrtf(ldap*8+1.0f)-1)/2;
work = ALLOC_N(doublereal, (3*n));
iwork = ALLOC_N(integer, (n));
dtpcon_(&norm, &uplo, &diag, &n, ap, &rcond, work, iwork, &info);
free(work);
free(iwork);
rblapack_rcond = rb_float_new((double)rcond);
rblapack_info = INT2NUM(info);
return rb_ary_new3(2, rblapack_rcond, rblapack_info);
}
void
init_lapack_dtpcon(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "dtpcon", rblapack_dtpcon, -1);
}
|
