xref: /petsc/include/petscblaslapack.h (revision d5b43468fb8780a8feea140ccd6fa3e6a50411cc)
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 <petscconf.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 with error check handling
35 
36     Not collective
37 
38     Synopsis:
39    #include <petscsys.h>
40    void PetscCallBLAS(char *name,routine)
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 user or external library 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   PetscError(PETSC_COMM_SELF, __LINE__, PETSC_FUNCTION_NAME, __FILE__, PETSC_ERR_SUP, PETSC_ERROR_INITIAL, "%s - Lapack routine is unavailable.", fname);
63   MPI_Abort(PETSC_COMM_SELF, PETSC_ERR_SUP);
64 }
65 
66 #include <petscblaslapack_mangle.h>
67 
68 BLAS_EXTERN void LAPACKgetrf_(const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscBLASInt *);
69 BLAS_EXTERN void LAPACKREALgetrf_(const PetscBLASInt *, const PetscBLASInt *, PetscReal *, const PetscBLASInt *, PetscBLASInt *, PetscBLASInt *);
70 BLAS_EXTERN void LAPACKgetri_(const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
71 BLAS_EXTERN void LAPACKREALgetri_(const PetscBLASInt *, PetscReal *, const PetscBLASInt *, const PetscBLASInt *, PetscReal *, const PetscBLASInt *, PetscBLASInt *);
72 #if !defined(PETSC_MISSING_LAPACK_ORGQR)
73 BLAS_EXTERN void LAPACKorgqr_(const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
74 #else
75   #define LAPACKorgqr_(a, b, c, d, e, f, g, h, i) PetscMissingLapack("ORGQR", a, b, c, d, e, f, g, h, i)
76 #endif
77 BLAS_EXTERN void LAPACKgeqrf_(const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
78 #if defined(PETSC_USE_REAL_SINGLE) && defined(PETSC_BLASLAPACK_SNRM2_RETURNS_DOUBLE)
79 BLAS_EXTERN double BLASnrm2_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
80 #else
81 BLAS_EXTERN PetscReal BLASnrm2_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
82 #endif
83 BLAS_EXTERN void BLASscal_(const PetscBLASInt *, const PetscScalar *, PetscScalar *, const PetscBLASInt *);
84 BLAS_EXTERN void BLAScopy_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *);
85 BLAS_EXTERN void BLASswap_(const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *);
86 BLAS_EXTERN void BLASaxpy_(const PetscBLASInt *, const PetscScalar *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *);
87 #if defined(PETSC_USE_REAL_SINGLE) && defined(PETSC_BLASLAPACK_SNRM2_RETURNS_DOUBLE)
88 BLAS_EXTERN double BLASasum_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
89 #else
90 BLAS_EXTERN PetscReal BLASasum_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
91 #endif
92 BLAS_EXTERN void LAPACKpttrf_(const PetscBLASInt *, PetscReal *, PetscScalar *, PetscBLASInt *);
93 #if !defined(PETSC_MISSING_LAPACK_STEIN)
94 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 *);
95 #else
96   #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)
97 #endif
98 BLAS_EXTERN void LAPACKgesv_(const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
99 
100 BLAS_EXTERN void LAPACKpotrf_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
101 BLAS_EXTERN void LAPACKpotri_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
102 BLAS_EXTERN void LAPACKpotrs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
103 BLAS_EXTERN void LAPACKsytrf_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
104 BLAS_EXTERN void LAPACKsytrs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
105 #if !defined(PETSC_MISSING_LAPACK_SYTRI)
106 BLAS_EXTERN void LAPACKsytri_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, PetscBLASInt *);
107 #else
108   #define LAPACKsytri_(a, b, c, d, e, f, g) PetscMissingLapack("SYTRI", a, b, c, d, e, f, g)
109 #endif
110 BLAS_EXTERN void BLASsyrk_(const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, PetscScalar *, const PetscBLASInt *);
111 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 *);
112 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 *);
113 BLAS_EXTERN void LAPACKgetrs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
114 BLAS_EXTERN void BLAStrmv_(const char *, const char *, const char *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *);
115 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 *);
116 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 *);
117 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 *);
118 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 *);
119 #if !defined(PETSC_MISSING_LAPACK_ORMQR)
120 BLAS_EXTERN void LAPACKormqr_(const char *, const char *, PetscBLASInt *, PetscBLASInt *, PetscBLASInt *, PetscScalar *, PetscBLASInt *, PetscScalar *, PetscScalar *, PetscBLASInt *, PetscScalar *, PetscBLASInt *, PetscBLASInt *);
121 #else
122   #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)
123 #endif
124 #if !defined(PETSC_MISSING_LAPACK_STEGR)
125 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 *);
126 #else
127   #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)
128 #endif
129 #if !defined(PETSC_MISSING_LAPACK_STEQR)
130 BLAS_EXTERN void LAPACKsteqr_(const char *, const PetscBLASInt *, PetscReal *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
131 BLAS_EXTERN void LAPACKREALsteqr_(const char *, const PetscBLASInt *, PetscReal *, PetscReal *, PetscReal *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
132 #else
133   #define LAPACKsteqr_(a, b, c, d, e, f, g, h)     PetscMissingLapack("STEQR", a, b, c, d, e, f, g, h)
134   #define LAPACKREALsteqr_(a, b, c, d, e, f, g, h) PetscMissingLapack("STEQR", a, b, c, d, e, f, g, h)
135 #endif
136 #if !defined(PETSC_MISSING_LAPACK_HGEQZ)
137 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 *);
138 #else
139   #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)
140 #endif
141 #if !defined(PETSC_MISSING_LAPACK_TRTRS)
142 BLAS_EXTERN void LAPACKtrtrs_(const char *, const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
143 #else
144   #define LAPACKtrtrs_(a, b, c, d, e, f, g, h, i, j) PetscMissingLapack("TRTRS", a, b, c, d, e, f, g, h, i, j)
145 #endif
146 BLAS_EXTERN void LAPACKgels_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
147 
148 /* handle complex dot() with special code */
149 #if defined(PETSC_USE_COMPLEX)
150 static inline PetscScalar BLASdot_(const PetscBLASInt *n, const PetscScalar *x, const PetscBLASInt *sx, const PetscScalar *y, const PetscBLASInt *sy)
151 {
152   PetscScalar sum = 0.0;
153   PetscInt    i, j, k;
154   if (*sx == 1 && *sy == 1) {
155     for (i = 0; i < *n; i++) sum += PetscConj(x[i]) * y[i];
156   } else {
157     for (i = 0, j = 0, k = 0; i < *n; i++, j += *sx, k += *sy) sum += PetscConj(x[j]) * y[k];
158   }
159   return sum;
160 }
161 static inline PetscScalar BLASdotu_(const PetscBLASInt *n, const PetscScalar *x, const PetscBLASInt *sx, const PetscScalar *y, const PetscBLASInt *sy)
162 {
163   PetscScalar sum = 0.0;
164   PetscInt    i, j, k;
165   if (*sx == 1 && *sy == 1) {
166     for (i = 0; i < *n; i++) sum += x[i] * y[i];
167   } else {
168     for (i = 0, j = 0, k = 0; i < *n; i++, j += *sx, k += *sy) sum += x[j] * y[k];
169   }
170   return sum;
171 }
172 #else
173   #if defined(PETSC_USE_REAL_SINGLE) && defined(PETSC_BLASLAPACK_SDOT_RETURNS_DOUBLE)
174 BLAS_EXTERN double    BLASdot_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
175 BLAS_EXTERN double    BLASdotu_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
176   #else
177 BLAS_EXTERN PetscScalar BLASdot_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
178   #endif
179 #endif
180 
181 /* Some functions prototypes do not exist for reals */
182 #if defined(PETSC_USE_COMPLEX)
183 BLAS_EXTERN void LAPACKhetrf_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
184 BLAS_EXTERN void LAPACKhetrs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
185 BLAS_EXTERN void LAPACKhetri_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, PetscBLASInt *);
186 BLAS_EXTERN void LAPACKheev_(const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
187 #endif
188 /* Some functions prototypes differ between real and complex */
189 #if defined(PETSC_USE_COMPLEX)
190   #if !defined(PETSC_MISSING_LAPACK_GELSS)
191 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 *);
192   #else
193     #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)
194   #endif
195 BLAS_EXTERN void LAPACKsyev_(const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
196 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 *);
197 BLAS_EXTERN void LAPACKsygv_(const PetscBLASInt *, const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
198 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 *);
199 BLAS_EXTERN void LAPACKpttrs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscReal *, const PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
200   #if !defined(PETSC_MISSING_LAPACK_GERFS)
201 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 *);
202   #else
203     #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)
204   #endif
205   #if !defined(PETSC_MISSING_LAPACK_TRSEN)
206 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 *);
207   #else
208     #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)
209   #endif
210   #if !defined(PETSC_MISSING_LAPACK_TGSEN)
211 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 *);
212   #else
213     #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)
214   #endif
215   #if !defined(PETSC_MISSING_LAPACK_GGES)
216 BLAS_EXTERN void LAPACKgges_(const char *, const char *, const char *, PetscBLASInt (*)(), const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscScalar *, PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *, PetscBLASInt *);
217   #else
218     #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)
219   #endif
220   #if !defined(PETSC_MISSING_LAPACK_HSEQR)
221 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 *);
222   #else
223     #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)
224   #endif
225 #else /* !defined(PETSC_USE_COMPLEX) */
226   #if !defined(PETSC_MISSING_LAPACK_GELSS)
227 BLAS_EXTERN void LAPACKgelss_(const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, const PetscReal *, PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
228   #else
229     #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)
230   #endif
231 BLAS_EXTERN void LAPACKsyev_(const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
232 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 *);
233 BLAS_EXTERN void LAPACKsygv_(const PetscBLASInt *, const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
234 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 *);
235 BLAS_EXTERN void LAPACKpttrs_(const PetscBLASInt *, const PetscBLASInt *, const PetscReal *, const PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
236   #if !defined(PETSC_MISSING_LAPACK_STEBZ)
237 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 *);
238   #else
239     #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)
240   #endif
241   #if !defined(PETSC_MISSING_LAPACK_GERFS)
242 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 *);
243   #else
244     #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)
245   #endif
246   #if !defined(PETSC_MISSING_LAPACK_TRSEN)
247 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 *);
248   #else
249     #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)
250   #endif
251   #if !defined(PETSC_MISSING_LAPACK_TGSEN)
252 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 *);
253   #else
254     #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)
255   #endif
256   #if !defined(PETSC_MISSING_LAPACK_GGES)
257 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 *);
258   #else
259     #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)
260   #endif
261   #if !defined(PETSC_MISSING_LAPACK_HSEQR)
262 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 *);
263   #else
264     #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)
265   #endif
266 #endif /* defined(PETSC_USE_COMPLEX) */
267 
268 #if defined(PETSC_USE_COMPLEX)
269 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 *);
270 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 *);
271 #else
272 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 *);
273 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 *);
274 #endif
275 
276 #endif
277