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
|
#include "rb_lapack.h"
extern VOID spttrs_(integer* n, integer* nrhs, real* d, real* e, real* b, integer* ldb, integer* info);
static VALUE
rblapack_spttrs(int argc, VALUE *argv, VALUE self){
VALUE rblapack_d;
real *d;
VALUE rblapack_e;
real *e;
VALUE rblapack_b;
real *b;
VALUE rblapack_info;
integer info;
VALUE rblapack_b_out__;
real *b_out__;
integer n;
integer ldb;
integer nrhs;
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, b = NumRu::Lapack.spttrs( d, e, b, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE SPTTRS( N, NRHS, D, E, B, LDB, INFO )\n\n* Purpose\n* =======\n*\n* SPTTRS solves a tridiagonal system of the form\n* A * X = B\n* using the L*D*L' factorization of A computed by SPTTRF. D is a\n* diagonal matrix specified in the vector D, L is a unit bidiagonal\n* matrix whose subdiagonal is specified in the vector E, and X and B\n* are N by NRHS matrices.\n*\n\n* Arguments\n* =========\n*\n* N (input) INTEGER\n* The order of the tridiagonal matrix A. N >= 0.\n*\n* NRHS (input) INTEGER\n* The number of right hand sides, i.e., the number of columns\n* of the matrix B. NRHS >= 0.\n*\n* D (input) REAL array, dimension (N)\n* The n diagonal elements of the diagonal matrix D from the\n* L*D*L' factorization of A.\n*\n* E (input) REAL array, dimension (N-1)\n* The (n-1) subdiagonal elements of the unit bidiagonal factor\n* L from the L*D*L' factorization of A. E can also be regarded\n* as the superdiagonal of the unit bidiagonal factor U from the\n* factorization A = U'*D*U.\n*\n* B (input/output) REAL array, dimension (LDB,NRHS)\n* On entry, the right hand side vectors B for the system of\n* linear equations.\n* On exit, the solution vectors, X.\n*\n* LDB (input) INTEGER\n* The leading dimension of the array B. LDB >= max(1,N).\n*\n* INFO (output) INTEGER\n* = 0: successful exit\n* < 0: if INFO = -k, the k-th argument had an illegal value\n*\n\n* =====================================================================\n*\n* .. Local Scalars ..\n INTEGER J, JB, NB\n* ..\n* .. External Functions ..\n INTEGER ILAENV\n EXTERNAL ILAENV\n* ..\n* .. External Subroutines ..\n EXTERNAL SPTTS2, XERBLA\n* ..\n* .. Intrinsic Functions ..\n INTRINSIC MAX, MIN\n* ..\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n info, b = NumRu::Lapack.spttrs( d, e, b, [:usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 3 && argc != 3)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 3)", argc);
rblapack_d = argv[0];
rblapack_e = argv[1];
rblapack_b = argv[2];
if (argc == 3) {
} else if (rblapack_options != Qnil) {
} else {
}
if (!NA_IsNArray(rblapack_d))
rb_raise(rb_eArgError, "d (1th argument) must be NArray");
if (NA_RANK(rblapack_d) != 1)
rb_raise(rb_eArgError, "rank of d (1th argument) must be %d", 1);
n = NA_SHAPE0(rblapack_d);
if (NA_TYPE(rblapack_d) != NA_SFLOAT)
rblapack_d = na_change_type(rblapack_d, NA_SFLOAT);
d = NA_PTR_TYPE(rblapack_d, real*);
if (!NA_IsNArray(rblapack_b))
rb_raise(rb_eArgError, "b (3th argument) must be NArray");
if (NA_RANK(rblapack_b) != 2)
rb_raise(rb_eArgError, "rank of b (3th argument) must be %d", 2);
ldb = NA_SHAPE0(rblapack_b);
nrhs = NA_SHAPE1(rblapack_b);
if (NA_TYPE(rblapack_b) != NA_SFLOAT)
rblapack_b = na_change_type(rblapack_b, NA_SFLOAT);
b = NA_PTR_TYPE(rblapack_b, real*);
if (!NA_IsNArray(rblapack_e))
rb_raise(rb_eArgError, "e (2th argument) must be NArray");
if (NA_RANK(rblapack_e) != 1)
rb_raise(rb_eArgError, "rank of e (2th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_e) != (n-1))
rb_raise(rb_eRuntimeError, "shape 0 of e must be %d", n-1);
if (NA_TYPE(rblapack_e) != NA_SFLOAT)
rblapack_e = na_change_type(rblapack_e, NA_SFLOAT);
e = NA_PTR_TYPE(rblapack_e, real*);
{
na_shape_t shape[2];
shape[0] = ldb;
shape[1] = nrhs;
rblapack_b_out__ = na_make_object(NA_SFLOAT, 2, shape, cNArray);
}
b_out__ = NA_PTR_TYPE(rblapack_b_out__, real*);
MEMCPY(b_out__, b, real, NA_TOTAL(rblapack_b));
rblapack_b = rblapack_b_out__;
b = b_out__;
spttrs_(&n, &nrhs, d, e, b, &ldb, &info);
rblapack_info = INT2NUM(info);
return rb_ary_new3(2, rblapack_info, rblapack_b);
}
void
init_lapack_spttrs(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "spttrs", rblapack_spttrs, -1);
}
|
