xref: /petsc/include/petscblaslapack.h (revision 9a2aa9a4efd967f1ecc08c0a73da4ea1c54dbc45) 
1 /*
2   This file dispatches between various header files for blas/lapack distributions to handle the name mangling.
3   It also provides C prototypes for all the BLAS/LAPACK functions that PETSc uses
4 
5   This is not included automatically by petscsys.h because some external packages include their own prototypes for
6   certain BLAS/LAPACK functions that conflict with the ones given here. Hence this should only be included when needed.
7 
8   The BLAS/LAPACK name mangling is almost (but not always) the same as the Fortran mangling; and exists even if there is
9   not Fortran compiler.
10 
11   PETSC_BLASLAPACK_STDCALL  is for Microsoft Windows compiles, it also implicitly has capitalized function names
12   PETSC_BLASLAPACK_UNDERSCORE BLAS/LAPACK function have an underscore at the end of each function name
13   PETSC_BLASLAPACK_CAPS BLAS/LAPACK function names are all in capital letters
14   PETSC_BLASLAPACK_C BLAS/LAPACK function names have no mangling
15 
16   PETSC_BLASLAPACK_SINGLEISDOUBLE - for Cray systems where the BLAS/LAPACK single precision (i.e. Fortran single precision is actually 64 bits)
17                                     old Cray vector machines used to be this way, it is is not clear if any exist now.
18 
19   PetscBLASInt is almost always 32 bit integers but can be 64 bit integers for certain usages of MKL and OpenBLAS BLAS/LAPACK libraries
20 
21 */
22 #if !defined(_BLASLAPACK_H)
23 #define _BLASLAPACK_H
24 
25 #include <petscconf.h>
26 #if defined(__cplusplus)
27 #define BLAS_EXTERN extern "C"
28 #else
29 #define BLAS_EXTERN extern
30 #endif
31 
32 #define PetscStackCallBLAS(name,routine) do {                   \
33     PetscStackPushNoCheck(name,PETSC_FALSE,PETSC_TRUE);         \
34     routine;                                                    \
35     PetscStackPop;                                              \
36   } while(0)
37 
38 #if defined(PETSC_BLASLAPACK_STDCALL)
39 #include <petscblaslapack_stdcall.h>
40 #else
41 
42 #include <petscblaslapack_mangle.h>
43 
44 BLAS_EXTERN void LAPACKgetrf_(PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
45 BLAS_EXTERN void LAPACKgetri_(PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
46 BLAS_EXTERN void LAPACKorgqr_(PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
47 BLAS_EXTERN void LAPACKgeqrf_(PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
48 #if defined(PETSC_USE_REAL_SINGLE) && defined(PETSC_BLASLAPACK_SNRM2_RETURNS_DOUBLE)
49 BLAS_EXTERN double BLASnrm2_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*);
50 #else
51 BLAS_EXTERN PetscReal BLASnrm2_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*);
52 #endif
53 BLAS_EXTERN void BLASscal_(const PetscBLASInt*,const PetscScalar*,PetscScalar*,const PetscBLASInt*);
54 BLAS_EXTERN void BLAScopy_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*);
55 BLAS_EXTERN void BLASswap_(const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*);
56 BLAS_EXTERN void BLASaxpy_(const PetscBLASInt*,const PetscScalar*,const PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*);
57 #if defined(PETSC_USE_REAL_SINGLE) && defined(PETSC_BLASLAPACK_SNRM2_RETURNS_DOUBLE)
58 BLAS_EXTERN double BLASasum_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*);
59 #else
60 BLAS_EXTERN PetscReal BLASasum_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*);
61 #endif
62 BLAS_EXTERN void LAPACKpttrf_(const PetscBLASInt*,PetscReal*,PetscScalar*,const PetscBLASInt*);
63 BLAS_EXTERN void LAPACKstein_(const PetscBLASInt*,PetscReal*,PetscReal*,const PetscBLASInt*,PetscReal*,const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*);
64 BLAS_EXTERN void LAPACKgesv_(const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*);
65 
66 BLAS_EXTERN void LAPACKpotrf_(const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
67 BLAS_EXTERN void LAPACKpotri_(const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
68 BLAS_EXTERN void LAPACKpotrs_(const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
69 BLAS_EXTERN void LAPACKsytrf_(const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
70 BLAS_EXTERN void LAPACKsytrs_(const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
71 BLAS_EXTERN void LAPACKsytri_(const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*);
72 BLAS_EXTERN void BLASsyrk_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*);
73 BLAS_EXTERN void BLASsyr2k_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*);
74 BLAS_EXTERN void BLASgemv_(const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscScalar*,const PetscScalar*,const PetscBLASInt*,const PetscScalar *,const PetscBLASInt*,const PetscScalar*,PetscScalar*,const PetscBLASInt*);
75 BLAS_EXTERN void LAPACKgetrs_(const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
76 BLAS_EXTERN void BLAStrmv_(const char*,const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*);
77 BLAS_EXTERN void BLASgemm_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*);
78 BLAS_EXTERN void BLASsymm_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*);
79 BLAS_EXTERN void BLAStrsm_(const char*,const char*,const char*,const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscScalar*,const PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*);
80 BLAS_EXTERN void LAPACKormqr_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
81 BLAS_EXTERN void LAPACKsteqr_(const char*,PetscBLASInt*,PetscReal*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
82 BLAS_EXTERN void LAPACKREALsteqr_(const char*,PetscBLASInt*,PetscReal*,PetscReal*,PetscReal*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
83 BLAS_EXTERN void LAPACKhgeqz_(const char *,const char *,const char *,PetscBLASInt *,PetscBLASInt *,PetscBLASInt *,PetscScalar *,PetscBLASInt *,PetscScalar *,PetscBLASInt *,PetscScalar *,PetscScalar *,PetscScalar *,PetscScalar *,PetscBLASInt *,PetscScalar *,PetscBLASInt *,PetscScalar *,PetscBLASInt *,PetscBLASInt *);
84 BLAS_EXTERN void LAPACKtrtrs_(const char *,const char *, const char *,PetscBLASInt *,PetscBLASInt *,PetscScalar *,PetscBLASInt *,PetscScalar *,PetscBLASInt *,PetscBLASInt *);
85 BLAS_EXTERN void LAPACKgels_(const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*);
86 
87 /* handle complex dot() with special code */
88 #if defined(PETSC_USE_COMPLEX)
89 PETSC_STATIC_INLINE PetscScalar BLASdot_(const PetscBLASInt *n,const PetscScalar *x,const PetscBLASInt *sx,const PetscScalar *y,const PetscBLASInt *sy)
90 {
91   PetscScalar sum=0.0;
92   PetscInt    i,j,k;
93   if (*sx==1 && *sy==1) {
94     for (i=0; i < *n; i++) sum += PetscConj(x[i])*y[i];
95   } else {
96     for (i=0,j=0,k=0; i < *n; i++,j+=*sx,k+=*sy) sum += PetscConj(x[j])*y[k];
97   }
98   return sum;
99 }
100 PETSC_STATIC_INLINE PetscScalar BLASdotu_(const PetscBLASInt *n,const PetscScalar *x,const PetscBLASInt *sx,const PetscScalar *y,const PetscBLASInt *sy)
101 {
102   PetscScalar sum=0.0;
103   PetscInt    i,j,k;
104   if (*sx==1 && *sy==1) {
105     for (i=0; i < *n; i++) sum += x[i]*y[i];
106   } else {
107     for (i=0,j=0,k=0; i < *n; i++,j+=*sx,k+=*sy) sum += x[j]*y[k];
108   }
109   return sum;
110 }
111 #else
112 #if defined(PETSC_USE_REAL_SINGLE) && defined(PETSC_BLASLAPACK_SDOT_RETURNS_DOUBLE)
113 BLAS_EXTERN double BLASdot_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*);
114 BLAS_EXTERN double BLASdotu_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*);
115 #else
116 BLAS_EXTERN PetscScalar BLASdot_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*);
117 #endif
118 #endif
119 
120 /* Some functions prototypes do not exist for reals */
121 #if defined(PETSC_USE_COMPLEX)
122 BLAS_EXTERN void LAPACKhetrf_(const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
123 BLAS_EXTERN void LAPACKhetrs_(const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
124 BLAS_EXTERN void LAPACKhetri_(const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*);
125 #endif
126 /* Some functions prototypes differ between real and complex */
127 #if defined(PETSC_USE_COMPLEX)
128 BLAS_EXTERN void LAPACKgelss_(const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,const PetscReal*,PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,PetscBLASInt*);
129 BLAS_EXTERN void LAPACKsyev_(const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
130 BLAS_EXTERN void LAPACKsyevx_(const char*,const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
131 BLAS_EXTERN void LAPACKsygv_(PetscBLASInt*,const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
132 BLAS_EXTERN void LAPACKsygvx_(PetscBLASInt*,const char*,const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
133 BLAS_EXTERN void LAPACKpttrs_(const char*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
134 BLAS_EXTERN void LAPACKgerfs_(const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,PetscReal*,PetscBLASInt*);
135 BLAS_EXTERN void LAPACKtrsen_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
136 BLAS_EXTERN void LAPACKtgsen_(PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscReal*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
137 BLAS_EXTERN void LAPACKgges_(const char*,const char*,const char*,PetscBLASInt(*)(),PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*);
138 BLAS_EXTERN void LAPACKhseqr_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
139 #else
140 BLAS_EXTERN void LAPACKgelss_(const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,const PetscReal*,PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*);
141 BLAS_EXTERN void LAPACKsyev_(const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
142 BLAS_EXTERN void LAPACKsyevx_(const char*,const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
143 BLAS_EXTERN void LAPACKsygv_(PetscBLASInt*,const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
144 BLAS_EXTERN void LAPACKsygvx_(PetscBLASInt*,const char*,const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
145 BLAS_EXTERN void LAPACKpttrs_(PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
146 BLAS_EXTERN void LAPACKstebz_(const char*,const char*,PetscBLASInt*,PetscReal*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscReal*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*);
147 BLAS_EXTERN void LAPACKgerfs_(const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
148 BLAS_EXTERN void LAPACKtrsen_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscReal*,PetscReal*,PetscBLASInt*,PetscReal*,PetscReal*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
149 BLAS_EXTERN void LAPACKtgsen_(PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscReal*,PetscReal*,PetscReal*,PetscReal*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscReal*,PetscReal*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
150 BLAS_EXTERN void LAPACKgges_(const char*,const char*,const char*,PetscBLASInt(*)(void),PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
151 BLAS_EXTERN void LAPACKhseqr_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
152 #endif
153 
154 /* ESSL uses a different calling sequence for dgeev(), zgeev() than LAPACK; */
155 #if defined(PETSC_HAVE_ESSL) && defined(PETSC_USE_COMPLEX)
156 BLAS_EXTERN void LAPACKgeev_(PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
157 BLAS_EXTERN void LAPACKgesvd_(const char*,const char*,PetscBLASInt *,PetscBLASInt*,PetscScalar *,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
158 #elif defined(PETSC_HAVE_ESSL)
159 BLAS_EXTERN void LAPACKgeev_(PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
160 BLAS_EXTERN void LAPACKgesvd_(const char*,const char*,PetscBLASInt *,PetscBLASInt*,PetscScalar *,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
161 #elif defined(PETSC_USE_COMPLEX)
162 BLAS_EXTERN void LAPACKgeev_(const char*,const char*,PetscBLASInt *,PetscScalar *,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
163 BLAS_EXTERN void LAPACKgesvd_(const char*,const char*,PetscBLASInt *,PetscBLASInt*,PetscScalar *,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
164 #else
165 BLAS_EXTERN void LAPACKgeev_(const char*,const char*,PetscBLASInt *,PetscScalar *,PetscBLASInt*,PetscReal*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
166 BLAS_EXTERN void LAPACKgesvd_(const char*,const char*,PetscBLASInt *,PetscBLASInt*,PetscScalar *,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
167 #endif
168 
169 #endif
170 #endif
171