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
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
|
#include "rb_lapack.h"
extern VOID chbev_(char* jobz, char* uplo, integer* n, integer* kd, complex* ab, integer* ldab, real* w, complex* z, integer* ldz, complex* work, real* rwork, integer* info);
static VALUE
rblapack_chbev(int argc, VALUE *argv, VALUE self){
VALUE rblapack_jobz;
char jobz;
VALUE rblapack_uplo;
char uplo;
VALUE rblapack_kd;
integer kd;
VALUE rblapack_ab;
complex *ab;
VALUE rblapack_w;
real *w;
VALUE rblapack_z;
complex *z;
VALUE rblapack_info;
integer info;
VALUE rblapack_ab_out__;
complex *ab_out__;
complex *work;
real *rwork;
integer ldab;
integer n;
integer ldz;
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 w, z, info, ab = NumRu::Lapack.chbev( jobz, uplo, kd, ab, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE CHBEV( JOBZ, UPLO, N, KD, AB, LDAB, W, Z, LDZ, WORK, RWORK, INFO )\n\n* Purpose\n* =======\n*\n* CHBEV computes all the eigenvalues and, optionally, eigenvectors of\n* a complex Hermitian band matrix A.\n*\n\n* Arguments\n* =========\n*\n* JOBZ (input) CHARACTER*1\n* = 'N': Compute eigenvalues only;\n* = 'V': Compute eigenvalues and eigenvectors.\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* KD (input) INTEGER\n* The number of superdiagonals of the matrix A if UPLO = 'U',\n* or the number of subdiagonals if UPLO = 'L'. KD >= 0.\n*\n* AB (input/output) COMPLEX array, dimension (LDAB, N)\n* On entry, the upper or lower triangle of the Hermitian band\n* matrix A, stored in the first KD+1 rows of the array. The\n* j-th column of A is stored in the j-th column of the array AB\n* as follows:\n* if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j;\n* if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd).\n*\n* On exit, AB is overwritten by values generated during the\n* reduction to tridiagonal form. If UPLO = 'U', the first\n* superdiagonal and the diagonal of the tridiagonal matrix T\n* are returned in rows KD and KD+1 of AB, and if UPLO = 'L',\n* the diagonal and first subdiagonal of T are returned in the\n* first two rows of AB.\n*\n* LDAB (input) INTEGER\n* The leading dimension of the array AB. LDAB >= KD + 1.\n*\n* W (output) REAL array, dimension (N)\n* If INFO = 0, the eigenvalues in ascending order.\n*\n* Z (output) COMPLEX array, dimension (LDZ, N)\n* If JOBZ = 'V', then if INFO = 0, Z contains the orthonormal\n* eigenvectors of the matrix A, with the i-th column of Z\n* holding the eigenvector associated with W(i).\n* If JOBZ = 'N', then Z is not referenced.\n*\n* LDZ (input) INTEGER\n* The leading dimension of the array Z. LDZ >= 1, and if\n* JOBZ = 'V', LDZ >= max(1,N).\n*\n* WORK (workspace) COMPLEX array, dimension (N)\n*\n* RWORK (workspace) REAL array, dimension (max(1,3*N-2))\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, the algorithm failed to converge; i\n* off-diagonal elements of an intermediate tridiagonal\n* form did not converge to zero.\n*\n\n* =====================================================================\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n w, z, info, ab = NumRu::Lapack.chbev( jobz, uplo, kd, ab, [: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_jobz = argv[0];
rblapack_uplo = argv[1];
rblapack_kd = argv[2];
rblapack_ab = argv[3];
if (argc == 4) {
} else if (rblapack_options != Qnil) {
} else {
}
jobz = StringValueCStr(rblapack_jobz)[0];
kd = NUM2INT(rblapack_kd);
uplo = StringValueCStr(rblapack_uplo)[0];
if (!NA_IsNArray(rblapack_ab))
rb_raise(rb_eArgError, "ab (4th argument) must be NArray");
if (NA_RANK(rblapack_ab) != 2)
rb_raise(rb_eArgError, "rank of ab (4th argument) must be %d", 2);
ldab = NA_SHAPE0(rblapack_ab);
n = NA_SHAPE1(rblapack_ab);
if (NA_TYPE(rblapack_ab) != NA_SCOMPLEX)
rblapack_ab = na_change_type(rblapack_ab, NA_SCOMPLEX);
ab = NA_PTR_TYPE(rblapack_ab, complex*);
ldz = lsame_(&jobz,"V") ? MAX(1,n) : 1;
{
na_shape_t shape[1];
shape[0] = n;
rblapack_w = na_make_object(NA_SFLOAT, 1, shape, cNArray);
}
w = NA_PTR_TYPE(rblapack_w, real*);
{
na_shape_t shape[2];
shape[0] = ldz;
shape[1] = n;
rblapack_z = na_make_object(NA_SCOMPLEX, 2, shape, cNArray);
}
z = NA_PTR_TYPE(rblapack_z, complex*);
{
na_shape_t shape[2];
shape[0] = ldab;
shape[1] = n;
rblapack_ab_out__ = na_make_object(NA_SCOMPLEX, 2, shape, cNArray);
}
ab_out__ = NA_PTR_TYPE(rblapack_ab_out__, complex*);
MEMCPY(ab_out__, ab, complex, NA_TOTAL(rblapack_ab));
rblapack_ab = rblapack_ab_out__;
ab = ab_out__;
work = ALLOC_N(complex, (n));
rwork = ALLOC_N(real, (MAX(1,3*n-2)));
chbev_(&jobz, &uplo, &n, &kd, ab, &ldab, w, z, &ldz, work, rwork, &info);
free(work);
free(rwork);
rblapack_info = INT2NUM(info);
return rb_ary_new3(4, rblapack_w, rblapack_z, rblapack_info, rblapack_ab);
}
void
init_lapack_chbev(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "chbev", rblapack_chbev, -1);
}
|
