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
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
|
#include "rb_lapack.h"
extern VOID dgerfs_(char* trans, integer* n, integer* nrhs, doublereal* a, integer* lda, doublereal* af, integer* ldaf, integer* ipiv, doublereal* b, integer* ldb, doublereal* x, integer* ldx, doublereal* ferr, doublereal* berr, doublereal* work, integer* iwork, integer* info);
static VALUE
rblapack_dgerfs(int argc, VALUE *argv, VALUE self){
VALUE rblapack_trans;
char trans;
VALUE rblapack_a;
doublereal *a;
VALUE rblapack_af;
doublereal *af;
VALUE rblapack_ipiv;
integer *ipiv;
VALUE rblapack_b;
doublereal *b;
VALUE rblapack_x;
doublereal *x;
VALUE rblapack_ferr;
doublereal *ferr;
VALUE rblapack_berr;
doublereal *berr;
VALUE rblapack_info;
integer info;
VALUE rblapack_x_out__;
doublereal *x_out__;
doublereal *work;
integer *iwork;
integer lda;
integer n;
integer ldaf;
integer ldb;
integer nrhs;
integer ldx;
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 ferr, berr, info, x = NumRu::Lapack.dgerfs( trans, a, af, ipiv, b, x, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE DGERFS( TRANS, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO )\n\n* Purpose\n* =======\n*\n* DGERFS improves the computed solution to a system of linear\n* equations and provides error bounds and backward error estimates for\n* the solution.\n*\n\n* Arguments\n* =========\n*\n* TRANS (input) CHARACTER*1\n* Specifies the form of the system of equations:\n* = 'N': A * X = B (No transpose)\n* = 'T': A**T * X = B (Transpose)\n* = 'C': A**H * X = B (Conjugate transpose = Transpose)\n*\n* N (input) INTEGER\n* The order of the 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 matrices B and X. NRHS >= 0.\n*\n* A (input) DOUBLE PRECISION array, dimension (LDA,N)\n* The original N-by-N matrix A.\n*\n* LDA (input) INTEGER\n* The leading dimension of the array A. LDA >= max(1,N).\n*\n* AF (input) DOUBLE PRECISION array, dimension (LDAF,N)\n* The factors L and U from the factorization A = P*L*U\n* as computed by DGETRF.\n*\n* LDAF (input) INTEGER\n* The leading dimension of the array AF. LDAF >= max(1,N).\n*\n* IPIV (input) INTEGER array, dimension (N)\n* The pivot indices from DGETRF; for 1<=i<=N, row i of the\n* matrix was interchanged with row IPIV(i).\n*\n* B (input) DOUBLE PRECISION array, dimension (LDB,NRHS)\n* The right hand side matrix B.\n*\n* LDB (input) INTEGER\n* The leading dimension of the array B. LDB >= max(1,N).\n*\n* X (input/output) DOUBLE PRECISION array, dimension (LDX,NRHS)\n* On entry, the solution matrix X, as computed by DGETRS.\n* On exit, the improved solution matrix X.\n*\n* LDX (input) INTEGER\n* The leading dimension of the array X. LDX >= max(1,N).\n*\n* FERR (output) DOUBLE PRECISION array, dimension (NRHS)\n* The estimated forward error bound for each solution vector\n* X(j) (the j-th column of the solution matrix X).\n* If XTRUE is the true solution corresponding to X(j), FERR(j)\n* is an estimated upper bound for the magnitude of the largest\n* element in (X(j) - XTRUE) divided by the magnitude of the\n* largest element in X(j). The estimate is as reliable as\n* the estimate for RCOND, and is almost always a slight\n* overestimate of the true error.\n*\n* BERR (output) DOUBLE PRECISION array, dimension (NRHS)\n* The componentwise relative backward error of each solution\n* vector X(j) (i.e., the smallest relative change in\n* any element of A or B that makes X(j) an exact solution).\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* Internal Parameters\n* ===================\n*\n* ITMAX is the maximum number of steps of iterative refinement.\n*\n\n* =====================================================================\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n ferr, berr, info, x = NumRu::Lapack.dgerfs( trans, a, af, ipiv, b, x, [:usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 6 && argc != 6)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 6)", argc);
rblapack_trans = argv[0];
rblapack_a = argv[1];
rblapack_af = argv[2];
rblapack_ipiv = argv[3];
rblapack_b = argv[4];
rblapack_x = argv[5];
if (argc == 6) {
} else if (rblapack_options != Qnil) {
} else {
}
trans = StringValueCStr(rblapack_trans)[0];
if (!NA_IsNArray(rblapack_af))
rb_raise(rb_eArgError, "af (3th argument) must be NArray");
if (NA_RANK(rblapack_af) != 2)
rb_raise(rb_eArgError, "rank of af (3th argument) must be %d", 2);
ldaf = NA_SHAPE0(rblapack_af);
n = NA_SHAPE1(rblapack_af);
if (NA_TYPE(rblapack_af) != NA_DFLOAT)
rblapack_af = na_change_type(rblapack_af, NA_DFLOAT);
af = NA_PTR_TYPE(rblapack_af, doublereal*);
if (!NA_IsNArray(rblapack_b))
rb_raise(rb_eArgError, "b (5th argument) must be NArray");
if (NA_RANK(rblapack_b) != 2)
rb_raise(rb_eArgError, "rank of b (5th argument) must be %d", 2);
ldb = NA_SHAPE0(rblapack_b);
nrhs = NA_SHAPE1(rblapack_b);
if (NA_TYPE(rblapack_b) != NA_DFLOAT)
rblapack_b = na_change_type(rblapack_b, NA_DFLOAT);
b = NA_PTR_TYPE(rblapack_b, doublereal*);
if (!NA_IsNArray(rblapack_a))
rb_raise(rb_eArgError, "a (2th argument) must be NArray");
if (NA_RANK(rblapack_a) != 2)
rb_raise(rb_eArgError, "rank of a (2th argument) must be %d", 2);
lda = NA_SHAPE0(rblapack_a);
if (NA_SHAPE1(rblapack_a) != n)
rb_raise(rb_eRuntimeError, "shape 1 of a must be the same as shape 1 of af");
if (NA_TYPE(rblapack_a) != NA_DFLOAT)
rblapack_a = na_change_type(rblapack_a, NA_DFLOAT);
a = NA_PTR_TYPE(rblapack_a, doublereal*);
if (!NA_IsNArray(rblapack_x))
rb_raise(rb_eArgError, "x (6th argument) must be NArray");
if (NA_RANK(rblapack_x) != 2)
rb_raise(rb_eArgError, "rank of x (6th argument) must be %d", 2);
ldx = NA_SHAPE0(rblapack_x);
if (NA_SHAPE1(rblapack_x) != nrhs)
rb_raise(rb_eRuntimeError, "shape 1 of x must be the same as shape 1 of b");
if (NA_TYPE(rblapack_x) != NA_DFLOAT)
rblapack_x = na_change_type(rblapack_x, NA_DFLOAT);
x = NA_PTR_TYPE(rblapack_x, doublereal*);
if (!NA_IsNArray(rblapack_ipiv))
rb_raise(rb_eArgError, "ipiv (4th argument) must be NArray");
if (NA_RANK(rblapack_ipiv) != 1)
rb_raise(rb_eArgError, "rank of ipiv (4th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_ipiv) != n)
rb_raise(rb_eRuntimeError, "shape 0 of ipiv must be the same as shape 1 of af");
if (NA_TYPE(rblapack_ipiv) != NA_LINT)
rblapack_ipiv = na_change_type(rblapack_ipiv, NA_LINT);
ipiv = NA_PTR_TYPE(rblapack_ipiv, integer*);
{
na_shape_t shape[1];
shape[0] = nrhs;
rblapack_ferr = na_make_object(NA_DFLOAT, 1, shape, cNArray);
}
ferr = NA_PTR_TYPE(rblapack_ferr, doublereal*);
{
na_shape_t shape[1];
shape[0] = nrhs;
rblapack_berr = na_make_object(NA_DFLOAT, 1, shape, cNArray);
}
berr = NA_PTR_TYPE(rblapack_berr, doublereal*);
{
na_shape_t shape[2];
shape[0] = ldx;
shape[1] = nrhs;
rblapack_x_out__ = na_make_object(NA_DFLOAT, 2, shape, cNArray);
}
x_out__ = NA_PTR_TYPE(rblapack_x_out__, doublereal*);
MEMCPY(x_out__, x, doublereal, NA_TOTAL(rblapack_x));
rblapack_x = rblapack_x_out__;
x = x_out__;
work = ALLOC_N(doublereal, (3*n));
iwork = ALLOC_N(integer, (n));
dgerfs_(&trans, &n, &nrhs, a, &lda, af, &ldaf, ipiv, b, &ldb, x, &ldx, ferr, berr, work, iwork, &info);
free(work);
free(iwork);
rblapack_info = INT2NUM(info);
return rb_ary_new3(4, rblapack_ferr, rblapack_berr, rblapack_info, rblapack_x);
}
void
init_lapack_dgerfs(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "dgerfs", rblapack_dgerfs, -1);
}
|
