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
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
|
/*
* Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
* Copyright (C) 2007-2008 - INRIA - Bruno JOFRET
*
* This file must be used under the terms of the CeCILL.
* This source file is licensed as described in the file COPYING, which
* you should have received as part of this distribution. The terms
* are also available at
* http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
*
*/
#ifndef __LAPACK_H__
#define __LAPACK_H__
#ifndef _MACRO_C2F_
#define _MACRO_C2F_
#define C2F(name) name##_
#endif
#include "doubleComplex.h"
#ifdef __cplusplus
extern "C" {
#endif
#ifndef lapack_int
#define lapack_int int
#endif
#ifndef lapack_logical
#define lapack_logical lapack_int
#endif
typedef lapack_logical (*LAPACK_D_SELECT3) (double*, double*, double*);
typedef lapack_logical (*LAPACK_D_SELECT2) (double*, double*);
#define getRelativeMachinePrecision() dlamch_("e", 1L)
#define getOverflowThreshold() dlamch_("o", 1L)
#define getUnderflowThreshold() dlamch_("u", 1L)
#define getOneNorm(lines,cols,in,work) dlange_("1", lines, cols, in, lines, work)
#define resolveSystemLinear(cols1,row2,cpytranIn1,pIpiv, transposeOfIn2,info) \
dgetrs_ ("N" ,cols1, row2, cpytranIn1 , cols1, pIpiv,transposeOfIn2, cols1, info) ;
/**
* -- LAPACK auxiliary routine (version 3.0) --
* Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
* Courant Institute, Argonne National Lab, and Rice University
* October 31, 1992
*
* Purpose
* =======
*
* DLAMCH determines double precision machine parameters.
*
* Arguments
* =========
*
* CMACH (input) CHARACTER*1
* Specifies the value to be returned by DLAMCH:
* = 'E' or 'e', DLAMCH := eps
* = 'S' or 's , DLAMCH := sfmin
* = 'B' or 'b', DLAMCH := base
* = 'P' or 'p', DLAMCH := eps*base
* = 'N' or 'n', DLAMCH := t
* = 'R' or 'r', DLAMCH := rnd
* = 'M' or 'm', DLAMCH := emin
* = 'U' or 'u', DLAMCH := rmin
* = 'L' or 'l', DLAMCH := emax
* = 'O' or 'o', DLAMCH := rmax
*
* where
*
* eps = relative machine precision
* sfmin = safe minimum, such that 1/sfmin does not overflow
* base = base of the machine
* prec = eps*base
* t = number of (base) digits in the mantissa
* rnd = 1.0 when rounding occurs in addition, 0.0 otherwise
* emin = minimum exponent before (gradual) underflow
* rmin = underflow threshold - base**(emin-1)
* emax = largest exponent before overflow
* rmax = overflow threshold - (base**emax)*(1-eps)
*
* =====================================================================
**/
extern double dlamch_ (char *CMACH, unsigned long int i);
extern double dlange_ (char* NORM, int* M, int* N, double* A, int* LDA , double* WORK);
extern double dgetrf_ (int* M, int* N , double* A , int* LDA , int* IPIV , int* INFO);
extern double dgecon_ (char* NORM, int* N, double* A, int* LDA, double* ANORM,
double* RCOND, double* WORK , int* IWORK, int* INFO ) ;
extern double dgetrs_ (char* TRANS, int* N, int* NRHS, double* A, int* LDA,
int* IPIV, double* B, int* LDB, int* INFO ) ;
extern double dgelsy_ (int* M, int* N, int* NRHS, double* A, int* LDA,
double* B, int* LDB, int* JPVT, double* RCOND, int* RANK,
double* WORK, int* LWORK, int* INFO) ;
extern double dlacpy_ (char* NORM, int* M, int* N, double* A, int* LDA,
double* B, int* LDB );
extern double dgetri_ (int* N , double* A , int* LDA , int* IPIV , double* WORK,
int* LWORK , int* INFO ) ;
/****** doubleComplex fortran function ************/
extern double zgelsy_ (int*,int*,int*,doubleComplex*,int*,doubleComplex*,int*,int*,double*,int*,doubleComplex*,int*,double*,int*) ;
extern double zlamch_ ();
extern double zlange_ (char*,int*,int*,doubleComplex*,int*,doubleComplex*);
extern double zgetrf_ (int *, int *, doubleComplex *, int *, int *, int *);
extern double zgecon_ ( char*,int*,doubleComplex*,int*,double*,double*,doubleComplex*,double*,int*) ;
extern double zgetrs_ ( char *,int*,int*,doubleComplex*,int*,int*,doubleComplex*,int*,int*) ;
extern double zlacpy_ (char*,int*,int*,doubleComplex*,int*,doubleComplex*,int*);
extern double zgetri_ (int*,doubleComplex*,int*,int*,doubleComplex*,int*,int*) ;
/*extern int zgelsy_ ();*/
/*certainly have some blas functions in */
extern int C2F(split)();
extern int C2F(exch)();
extern int C2F(balbak)();
extern double C2F(ddot)();
extern int C2F(pade)();
extern int C2F(dcopy)();
extern int C2F(dscal)();
extern int C2F(dgeco)();
extern int C2F(dgesl)();
extern int C2F(coef)();
extern int C2F(cerr)();
extern int C2F(dclmat)();
extern int C2F(dexpm1)();
extern int C2F(wexpm1)();
extern int C2F(drot)();
extern int C2F(intexpm) ();
extern int C2F(zcopy)(int*,doubleComplex *,int*,doubleComplex*,int*);
extern int C2F(dgemm)(char *,char*,int*,int*,int*,double*,double*,int*,double*,int*,double*,double*,int*);
extern int C2F(idamax)() ;/* could be transcribe easily in c */
extern int C2F(daxpy) () ;/* could be transcribe easily in c */
extern int C2F(dscal) () ;/* could be transcribe easily in c */
extern int C2F(dasum) () ;/* could be transcribe easily in c */
/* used in chol */
extern int C2F(dpotrf)(char*,int*,double*,int*,int*);
extern int C2F(zpotrf)(char*,int*,doubleComplex*,int*,int*);
/* used in logm */
extern int C2F(zgeev)(char*,char*,int*,doubleComplex*,int*,doubleComplex*,
doubleComplex*,int*,doubleComplex*,int*,doubleComplex*,int *,doubleComplex*,int*);
extern int C2F(zheev)(char*,char*,int*,doubleComplex*,int*,double*,doubleComplex*,int*,double*,int*);
/* used in spec */
extern int C2F(dgeev)(char*,char*,int*,double*,int*,double*,double*,double*,int*,double*,int*,double*,int*,int*);
extern int C2F(dsyev)(char*,char*,int*,double*,int*,double*,double*,int*,int*);
/*used in schur*/
extern int dgees_(char*,char*,LAPACK_D_SELECT2,int*,double*,int*,int*, \
double*,double*,double*,int*,double*,int*,int*,int*);
extern int dgges_(char*,char*,char*,LAPACK_D_SELECT3,int*,double*,int*,double*,int*, \
int*,double*,double*,double*,double*,int*,double*,int*,double*, int*, \
int*,int*);
/*used in matrix balancing*/
extern int dgebal_(char*,int*,double*,int*,int*,int*,double*,int*);
extern int dggbal_(char*,int*,double*,int*,double*,int*,int*,int*,double*, \
double*,double*,int*);
extern int dgebak_(char*,char*,int*,int*,int*,double*,int*,double*,int*,int*);
/*Used in SVD */
extern double dgesvd_(char*,char*,int*,int*,double*,int*,double*,double*,int*,\
double*,int*,double *,int*,int*);
/* Used in svd complex */
extern doubleComplex zgesvd_( char* , char* , int* , int* ,doubleComplex *,\
int* , double* ,doubleComplex* , int* ,doubleComplex* , int* ,\
doubleComplex* , int* , double* , int* );
#ifdef __cplusplus
} /* extern "C" */
#endif
#endif /* !__LAPACK_H__ */
|
