xref: /petsc/include/petscblaslapack.h (revision fbf9dbe564678ed6eff1806adbc4c4f01b9743f4)
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_UNDERSCORE BLAS/LAPACK function have an underscore at the end of each function name
12   PETSC_BLASLAPACK_CAPS BLAS/LAPACK function names are all in capital letters
13   PETSC_BLASLAPACK_C BLAS/LAPACK function names have no mangling
14 
15   PETSC_BLASLAPACK_SINGLEISDOUBLE - for Cray systems where the BLAS/LAPACK single precision (i.e. Fortran single precision is actually 64-bits)
16                                     old Cray vector machines used to be this way, it is is not clear if any exist now.
17 
18   PetscBLASInt is almost always 32-bit integers but can be 64-bit integers for certain usages of MKL and OpenBLAS BLAS/LAPACK libraries
19 
20 */
21 #ifndef _BLASLAPACK_H
22 #define _BLASLAPACK_H
23 
24 #include <petscsys.h>
25 #if defined(__cplusplus)
26   #define BLAS_EXTERN extern "C"
27 #else
28   #define BLAS_EXTERN extern
29 #endif
30 
31 /* SUBMANSEC = Sys */
32 
33 /*MC
34     PetscCallBLAS - Calls a BLAS or LAPACK routine and catches exceptions
35 
36     Synopsis:
37    #include <petscsys.h>
38    void PetscCallBLAS(char *name,routine)
39 
40     Not Collective
41 
42   Input Parameters:
43 +   name - string that gives the name of the function being called
44 -   routine - actual call to the routine including its arguments
45 
46    Level: developer
47 
48    Developer Note:
49    This is so that when a BLAS/LAPACK routine results in a crash or corrupts memory, they get blamed instead of PETSc.
50 
51 .seealso: `PetscCall()`, `PetscStackPushNoCheck()`, `PetscStackPush()`, `PetscCallExternal()`, `PetscStackCallExternalVoid()`
52 M*/
53 #define PetscCallBLAS(name, routine) \
54   do { \
55     PetscStackPushExternal(name); \
56     routine; \
57     PetscStackPop; \
58   } while (0)
59 
60 static inline void PetscMissingLapack(const char *fname, ...)
61 {
62   SETERRABORT(PETSC_COMM_SELF, PETSC_ERR_SUP, "%s - Lapack routine is unavailable.", fname);
63 }
64 
65 #include <petscblaslapack_mangle.h>
66 
67 BLAS_EXTERN void LAPACKgetrf_(const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscBLASInt *);
68 BLAS_EXTERN void LAPACKREALgetrf_(const PetscBLASInt *, const PetscBLASInt *, PetscReal *, const PetscBLASInt *, PetscBLASInt *, PetscBLASInt *);
69 BLAS_EXTERN void LAPACKgetri_(const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
70 BLAS_EXTERN void LAPACKREALgetri_(const PetscBLASInt *, PetscReal *, const PetscBLASInt *, const PetscBLASInt *, PetscReal *, const PetscBLASInt *, PetscBLASInt *);
71 #if !defined(PETSC_MISSING_LAPACK_ORGQR)
72 BLAS_EXTERN void LAPACKorgqr_(const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
73 #else
74   #define LAPACKorgqr_(a, b, c, d, e, f, g, h, i) PetscMissingLapack("ORGQR", a, b, c, d, e, f, g, h, i)
75 #endif
76 BLAS_EXTERN void LAPACKgeqrf_(const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
77 #if defined(PETSC_USE_REAL_SINGLE) && defined(PETSC_BLASLAPACK_SNRM2_RETURNS_DOUBLE)
78 BLAS_EXTERN double BLASnrm2_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
79 #else
80 BLAS_EXTERN PetscReal BLASnrm2_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
81 #endif
82 BLAS_EXTERN void BLASscal_(const PetscBLASInt *, const PetscScalar *, PetscScalar *, const PetscBLASInt *);
83 BLAS_EXTERN void BLAScopy_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *);
84 BLAS_EXTERN void BLASswap_(const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *);
85 BLAS_EXTERN void BLASaxpy_(const PetscBLASInt *, const PetscScalar *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *);
86 #if defined(PETSC_USE_REAL_SINGLE) && defined(PETSC_BLASLAPACK_SNRM2_RETURNS_DOUBLE)
87 BLAS_EXTERN double BLASasum_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
88 #else
89 BLAS_EXTERN PetscReal BLASasum_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
90 #endif
91 BLAS_EXTERN void LAPACKpttrf_(const PetscBLASInt *, PetscReal *, PetscScalar *, PetscBLASInt *);
92 #if !defined(PETSC_MISSING_LAPACK_STEIN)
93 BLAS_EXTERN void LAPACKstein_(const PetscBLASInt *, const PetscReal *, const PetscReal *, const PetscBLASInt *, const PetscReal *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *, PetscBLASInt *, PetscBLASInt *);
94 #else
95   #define LAPACKstein_(a, b, c, d, e, f, g, h, i, j, k, l, m) PetscMissingLapack("STEIN", a, b, c, d, e, f, g, h, i, j, k, l)
96 #endif
97 BLAS_EXTERN void LAPACKgesv_(const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
98 
99 BLAS_EXTERN void LAPACKpotrf_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
100 BLAS_EXTERN void LAPACKpotri_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
101 BLAS_EXTERN void LAPACKpotrs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
102 BLAS_EXTERN void LAPACKsytrf_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
103 BLAS_EXTERN void LAPACKsytrs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
104 #if !defined(PETSC_MISSING_LAPACK_SYTRI)
105 BLAS_EXTERN void LAPACKsytri_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, PetscBLASInt *);
106 #else
107   #define LAPACKsytri_(a, b, c, d, e, f, g) PetscMissingLapack("SYTRI", a, b, c, d, e, f, g)
108 #endif
109 BLAS_EXTERN void BLASsyrk_(const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, PetscScalar *, const PetscBLASInt *);
110 BLAS_EXTERN void BLASsyr2k_(const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, PetscScalar *, const PetscBLASInt *);
111 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 *);
112 BLAS_EXTERN void LAPACKgetrs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
113 BLAS_EXTERN void BLAStrmv_(const char *, const char *, const char *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *);
114 BLAS_EXTERN void BLASgemm_(const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, PetscScalar *, const PetscBLASInt *);
115 BLAS_EXTERN void BLASREALgemm_(const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, const PetscReal *, const PetscReal *, const PetscBLASInt *, const PetscReal *, const PetscBLASInt *, const PetscReal *, PetscReal *, const PetscBLASInt *);
116 BLAS_EXTERN void BLASsymm_(const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, PetscScalar *, const PetscBLASInt *);
117 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 *);
118 #if !defined(PETSC_MISSING_LAPACK_ORMQR)
119 BLAS_EXTERN void LAPACKormqr_(const char *, const char *, PetscBLASInt *, PetscBLASInt *, PetscBLASInt *, PetscScalar *, PetscBLASInt *, PetscScalar *, PetscScalar *, PetscBLASInt *, PetscScalar *, PetscBLASInt *, PetscBLASInt *);
120 #else
121   #define LAPACKormqr_(a, b, c, d, e, f, g, h, i, j, k, l, m) PetscMissingLapack("ORMQR", a, b, c, d, e, f, g, h, i, j, k, l, m)
122 #endif
123 #if !defined(PETSC_MISSING_LAPACK_STEGR)
124 BLAS_EXTERN void LAPACKstegr_(const char *, const char *, const PetscBLASInt *, PetscReal *, PetscReal *, const PetscReal *, const PetscReal *, const PetscBLASInt *, const PetscBLASInt *, const PetscReal *, PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscReal *, const PetscBLASInt *, PetscBLASInt *, const PetscBLASInt *, PetscBLASInt *);
125 #else
126   #define LAPACKstegr_(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t) PetscMissingLapack("STEGR", a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t)
127 #endif
128 #if !defined(PETSC_MISSING_LAPACK_STEQR)
129 BLAS_EXTERN void LAPACKsteqr_(const char *, const PetscBLASInt *, PetscReal *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
130 BLAS_EXTERN void LAPACKREALsteqr_(const char *, const PetscBLASInt *, PetscReal *, PetscReal *, PetscReal *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
131 #else
132   #define LAPACKsteqr_(a, b, c, d, e, f, g, h)     PetscMissingLapack("STEQR", a, b, c, d, e, f, g, h)
133   #define LAPACKREALsteqr_(a, b, c, d, e, f, g, h) PetscMissingLapack("STEQR", a, b, c, d, e, f, g, h)
134 #endif
135 #if !defined(PETSC_MISSING_LAPACK_STEV)
136 BLAS_EXTERN void LAPACKstev_(const char *, const PetscBLASInt *, PetscReal *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
137 BLAS_EXTERN void LAPACKREALstev_(const char *, const PetscBLASInt *, PetscReal *, PetscReal *, PetscReal *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
138 #else
139   #define LAPACKstev_(a, b, c, d, e, f, g, h)     PetscMissingLapack("STEV", a, b, c, d, e, f, g, h)
140   #define LAPACKREALstev_(a, b, c, d, e, f, g, h) PetscMissingLapack("STEV", a, b, c, d, e, f, g, h)
141 #endif
142 #if !defined(PETSC_MISSING_LAPACK_HGEQZ)
143 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 *);
144 #else
145   #define LAPACKhgeqz_(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t) PetscMissingLapack("HGEQZ", a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t)
146 #endif
147 #if !defined(PETSC_MISSING_LAPACK_TRTRS)
148 BLAS_EXTERN void LAPACKtrtrs_(const char *, const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
149 #else
150   #define LAPACKtrtrs_(a, b, c, d, e, f, g, h, i, j) PetscMissingLapack("TRTRS", a, b, c, d, e, f, g, h, i, j)
151 #endif
152 BLAS_EXTERN void LAPACKgels_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
153 
154 /* handle complex dot() with special code */
155 #if defined(PETSC_USE_COMPLEX)
156 static inline PetscScalar BLASdot_(const PetscBLASInt *n, const PetscScalar *x, const PetscBLASInt *sx, const PetscScalar *y, const PetscBLASInt *sy)
157 {
158   PetscScalar sum = 0.0;
159   PetscInt    i, j, k;
160   if (*sx == 1 && *sy == 1) {
161     for (i = 0; i < *n; i++) sum += PetscConj(x[i]) * y[i];
162   } else {
163     for (i = 0, j = 0, k = 0; i < *n; i++, j += *sx, k += *sy) sum += PetscConj(x[j]) * y[k];
164   }
165   return sum;
166 }
167 static inline PetscScalar BLASdotu_(const PetscBLASInt *n, const PetscScalar *x, const PetscBLASInt *sx, const PetscScalar *y, const PetscBLASInt *sy)
168 {
169   PetscScalar sum = 0.0;
170   PetscInt    i, j, k;
171   if (*sx == 1 && *sy == 1) {
172     for (i = 0; i < *n; i++) sum += x[i] * y[i];
173   } else {
174     for (i = 0, j = 0, k = 0; i < *n; i++, j += *sx, k += *sy) sum += x[j] * y[k];
175   }
176   return sum;
177 }
178 #else
179   #if defined(PETSC_USE_REAL_SINGLE) && defined(PETSC_BLASLAPACK_SDOT_RETURNS_DOUBLE)
180 BLAS_EXTERN double    BLASdot_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
181 BLAS_EXTERN double    BLASdotu_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
182   #else
183 BLAS_EXTERN PetscScalar BLASdot_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
184   #endif
185 #endif
186 
187 /* Some functions prototypes do not exist for reals */
188 #if defined(PETSC_USE_COMPLEX)
189 BLAS_EXTERN void LAPACKhetrf_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
190 BLAS_EXTERN void LAPACKhetrs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
191 BLAS_EXTERN void LAPACKhetri_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, PetscBLASInt *);
192 BLAS_EXTERN void LAPACKheev_(const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
193 #endif
194 /* Some functions prototypes differ between real and complex */
195 #if defined(PETSC_USE_COMPLEX)
196   #if !defined(PETSC_MISSING_LAPACK_GELSS)
197 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 *);
198   #else
199     #define LAPACKgelss_(a, b, c, d, e, f, g, h, i, j, k, l, m, n) PetscMissingLapack("GELSS", a, b, c, d, e, f, g, h, i, j, k, l, m, n)
200   #endif
201 BLAS_EXTERN void LAPACKsyev_(const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
202 BLAS_EXTERN void LAPACKsyevx_(const char *, const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscReal *, const PetscReal *, const PetscBLASInt *, const PetscBLASInt *, const PetscReal *, PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *, PetscBLASInt *, PetscBLASInt *);
203 BLAS_EXTERN void LAPACKsygv_(const PetscBLASInt *, const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
204 BLAS_EXTERN void LAPACKsygvx_(PetscBLASInt *, const char *, const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscReal *, const PetscReal *, const PetscBLASInt *, const PetscBLASInt *, const PetscReal *, PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *, PetscBLASInt *, PetscBLASInt *);
205 BLAS_EXTERN void LAPACKpttrs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscReal *, const PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
206   #if !defined(PETSC_MISSING_LAPACK_GERFS)
207 BLAS_EXTERN void LAPACKgerfs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, PetscScalar *, PetscScalar *, PetscReal *, PetscBLASInt *);
208   #else
209     #define LAPACKgerfs_(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q) PetscMissingLapack("GERFS", a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q)
210   #endif
211   #if !defined(PETSC_MISSING_LAPACK_TRSEN)
212 BLAS_EXTERN void LAPACKtrsen_(const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, PetscBLASInt *, PetscReal *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
213   #else
214     #define LAPACKtrsen_(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) PetscMissingLapack("TRSEN", a, b, c, d, e, f, g, h, i, j, k, l, m, n, o)
215   #endif
216   #if !defined(PETSC_MISSING_LAPACK_TGSEN)
217 BLAS_EXTERN void LAPACKtgsen_(const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscReal *, PetscReal *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, const PetscBLASInt *, PetscBLASInt *);
218   #else
219     #define LAPACKtgsen_(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x) PetscMissingLapack("TGSEN", a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x)
220   #endif
221   #if !defined(PETSC_MISSING_LAPACK_GGES)
222 BLAS_EXTERN void LAPACKgges_(const char *, const char *, const char *, PetscBLASInt (*)(void), const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscScalar *, PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *, PetscBLASInt *);
223   #else
224     #define LAPACKgges_(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) PetscMissingLapack("GGES", a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u)
225   #endif
226   #if !defined(PETSC_MISSING_LAPACK_HSEQR)
227 BLAS_EXTERN void LAPACKhseqr_(const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
228   #else
229     #define LAPACKhseqr_(a, b, c, d, e, f, g, h, i, j, k, l, m) PetscMissingLapack("HSEQR", a, b, c, d, e, f, g, h, i, j, k, l, m)
230   #endif
231 #else /* !defined(PETSC_USE_COMPLEX) */
232   #if !defined(PETSC_MISSING_LAPACK_GELSS)
233 BLAS_EXTERN void LAPACKgelss_(const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, const PetscReal *, PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
234   #else
235     #define LAPACKgelss_(a, b, c, d, e, f, g, h, i, j, k, l, m) PetscMissingLapack("GELSS", a, b, c, d, e, f, g, h, i, j, k, l, m)
236   #endif
237 BLAS_EXTERN void LAPACKsyev_(const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
238 BLAS_EXTERN void LAPACKsyevx_(const char *, const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscReal *, const PetscReal *, const PetscBLASInt *, const PetscBLASInt *, const PetscReal *, PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscBLASInt *, PetscBLASInt *);
239 BLAS_EXTERN void LAPACKsygv_(const PetscBLASInt *, const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
240 BLAS_EXTERN void LAPACKsygvx_(const PetscBLASInt *, const char *, const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscReal *, const PetscReal *, const PetscBLASInt *, const PetscBLASInt *, const PetscReal *, PetscBLASInt *, PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscBLASInt *, PetscBLASInt *);
241 BLAS_EXTERN void LAPACKpttrs_(const PetscBLASInt *, const PetscBLASInt *, const PetscReal *, const PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
242   #if !defined(PETSC_MISSING_LAPACK_STEBZ)
243 BLAS_EXTERN void LAPACKstebz_(const char *, const char *, const PetscBLASInt *, const PetscReal *, const PetscReal *, const PetscBLASInt *, const PetscBLASInt *, const PetscReal *, const PetscReal *, const PetscReal *, PetscBLASInt *, PetscBLASInt *, PetscReal *, PetscBLASInt *, PetscBLASInt *, PetscReal *, PetscBLASInt *, PetscBLASInt *);
244   #else
245     #define LAPACKstebz_(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r) PetscMissingLapack("STEBZ", a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r)
246   #endif
247   #if !defined(PETSC_MISSING_LAPACK_GERFS)
248 BLAS_EXTERN void LAPACKgerfs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, PetscScalar *, PetscScalar *, PetscBLASInt *, PetscBLASInt *);
249   #else
250     #define LAPACKgerfs_(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q) PetscMissingLapack("GERFS", a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q)
251   #endif
252   #if !defined(PETSC_MISSING_LAPACK_TRSEN)
253 BLAS_EXTERN void LAPACKtrsen_(const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, PetscReal *, const PetscBLASInt *, PetscReal *, const PetscBLASInt *, PetscReal *, PetscReal *, PetscBLASInt *, PetscReal *, PetscReal *, PetscReal *, const PetscBLASInt *, PetscBLASInt *, const PetscBLASInt *, PetscBLASInt *);
254   #else
255     #define LAPACKtrsen_(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r) PetscMissingLapack("TRSEN", a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r)
256   #endif
257   #if !defined(PETSC_MISSING_LAPACK_TGSEN)
258 BLAS_EXTERN void LAPACKtgsen_(const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, PetscReal *, const PetscBLASInt *, PetscReal *, const PetscBLASInt *, PetscReal *, PetscReal *, PetscReal *, PetscReal *, const PetscBLASInt *, PetscReal *, const PetscBLASInt *, PetscBLASInt *, PetscReal *, PetscReal *, PetscReal *, PetscReal *, const PetscBLASInt *, PetscBLASInt *, const PetscBLASInt *, PetscBLASInt *);
259   #else
260     #define LAPACKtgsen_(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y) PetscMissingLapack("TGSEN", a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y)
261   #endif
262   #if !defined(PETSC_MISSING_LAPACK_GGES)
263 BLAS_EXTERN void LAPACKgges_(const char *, const char *, const char *, PetscBLASInt (*)(void), const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscScalar *, PetscScalar *, PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscBLASInt *);
264   #else
265     #define LAPACKgges_(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u) PetscMissingLapack("GGES", a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u)
266   #endif
267   #if !defined(PETSC_MISSING_LAPACK_HSEQR)
268 BLAS_EXTERN void LAPACKhseqr_(const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
269   #else
270     #define LAPACKhseqr_(a, b, c, d, e, f, g, h, i, j, k, l, m, n) PetscMissingLapack("HSEQR", a, b, c, d, e, f, g, h, i, j, k, l, m, n)
271   #endif
272 #endif /* defined(PETSC_USE_COMPLEX) */
273 
274 #if defined(PETSC_USE_COMPLEX)
275 BLAS_EXTERN void LAPACKgeev_(const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
276 BLAS_EXTERN void LAPACKgesvd_(const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
277 #else
278 BLAS_EXTERN void LAPACKgeev_(const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
279 BLAS_EXTERN void LAPACKgesvd_(const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
280 #endif
281 
282 #endif
283