xref: /petsc/include/petscblaslapack.h (revision 16a9b8de2019c191953d52ed8be9fc0021dcda4c)
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 #pragma once
22 
23 #include <petscsys.h>
24 #if defined(__cplusplus)
25   #define BLAS_EXTERN extern "C"
26 #else
27   #define BLAS_EXTERN extern
28 #endif
29 
30 /* SUBMANSEC = Sys */
31 
32 /*MC
33     PetscCallBLAS - Calls a BLAS or LAPACK routine and catches exceptions
34 
35     Synopsis:
36    #include <petscsys.h>
37    void PetscCallBLAS(char *name,routine)
38 
39     Not Collective
40 
41   Input Parameters:
42 +   name - string that gives the name of the function being called
43 -   routine - actual call to the routine including its arguments
44 
45    Level: developer
46 
47    Developer Note:
48    This is so that when a BLAS/LAPACK routine results in a crash or corrupts memory, they get blamed instead of PETSc.
49 
50 .seealso: `PetscCall()`, `PetscStackPushNoCheck()`, `PetscStackPush()`, `PetscCallExternal()`, `PetscStackCallExternalVoid()`
51 M*/
52 #define PetscCallBLAS(name, routine) \
53   do { \
54     PetscStackPushExternal(name); \
55     routine; \
56     PetscStackPop; \
57   } while (0)
58 
59 static inline void PetscMissingLapack(const char *fname, ...)
60 {
61   SETERRABORT(PETSC_COMM_SELF, PETSC_ERR_SUP, "%s - Lapack routine is unavailable.", fname);
62 }
63 
64 #include <petscblaslapack_mangle.h>
65 
66 BLAS_EXTERN void LAPACKgetrf_(const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscBLASInt *);
67 BLAS_EXTERN void LAPACKREALgetrf_(const PetscBLASInt *, const PetscBLASInt *, PetscReal *, const PetscBLASInt *, PetscBLASInt *, PetscBLASInt *);
68 BLAS_EXTERN void LAPACKgetri_(const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
69 BLAS_EXTERN void LAPACKREALgetri_(const PetscBLASInt *, PetscReal *, const PetscBLASInt *, const PetscBLASInt *, PetscReal *, const PetscBLASInt *, PetscBLASInt *);
70 #if !defined(PETSC_MISSING_LAPACK_ORGQR)
71 BLAS_EXTERN void LAPACKorgqr_(const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
72 #else
73   #define LAPACKorgqr_(a, b, c, d, e, f, g, h, i) PetscMissingLapack("ORGQR", a, b, c, d, e, f, g, h, i)
74 #endif
75 BLAS_EXTERN void LAPACKgeqrf_(const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
76 #if defined(PETSC_USE_REAL_SINGLE) && defined(PETSC_BLASLAPACK_SNRM2_RETURNS_DOUBLE)
77 BLAS_EXTERN double BLASnrm2_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
78 #else
79 BLAS_EXTERN PetscReal BLASnrm2_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
80 #endif
81 BLAS_EXTERN void BLASscal_(const PetscBLASInt *, const PetscScalar *, PetscScalar *, const PetscBLASInt *);
82 BLAS_EXTERN void BLAScopy_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *);
83 BLAS_EXTERN void BLASswap_(const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *);
84 BLAS_EXTERN void BLASaxpy_(const PetscBLASInt *, const PetscScalar *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *);
85 #if defined(PETSC_USE_REAL_SINGLE) && defined(PETSC_BLASLAPACK_SNRM2_RETURNS_DOUBLE)
86 BLAS_EXTERN double BLASasum_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
87 #else
88 BLAS_EXTERN PetscReal BLASasum_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
89 #endif
90 BLAS_EXTERN void LAPACKpttrf_(const PetscBLASInt *, PetscReal *, PetscScalar *, PetscBLASInt *);
91 #if !defined(PETSC_MISSING_LAPACK_STEIN)
92 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 *);
93 #else
94   #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)
95 #endif
96 BLAS_EXTERN void LAPACKgesv_(const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
97 
98 BLAS_EXTERN void LAPACKpotrf_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
99 BLAS_EXTERN void LAPACKpotri_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
100 BLAS_EXTERN void LAPACKpotrs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
101 BLAS_EXTERN void LAPACKsytrf_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
102 BLAS_EXTERN void LAPACKsytrs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
103 #if !defined(PETSC_MISSING_LAPACK_SYTRI)
104 BLAS_EXTERN void LAPACKsytri_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, PetscBLASInt *);
105 #else
106   #define LAPACKsytri_(a, b, c, d, e, f, g) PetscMissingLapack("SYTRI", a, b, c, d, e, f, g)
107 #endif
108 BLAS_EXTERN void BLASsyrk_(const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, PetscScalar *, const PetscBLASInt *);
109 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 *);
110 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 *);
111 BLAS_EXTERN void LAPACKgetrs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
112 BLAS_EXTERN void BLAStrmv_(const char *, const char *, const char *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *);
113 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 *);
114 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 *);
115 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 *);
116 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 *);
117 #if !defined(PETSC_MISSING_LAPACK_ORMQR)
118 BLAS_EXTERN void LAPACKormqr_(const char *, const char *, PetscBLASInt *, PetscBLASInt *, PetscBLASInt *, PetscScalar *, PetscBLASInt *, PetscScalar *, PetscScalar *, PetscBLASInt *, PetscScalar *, PetscBLASInt *, PetscBLASInt *);
119 #else
120   #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)
121 #endif
122 #if !defined(PETSC_MISSING_LAPACK_STEGR)
123 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 *);
124 #else
125   #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)
126 #endif
127 #if !defined(PETSC_MISSING_LAPACK_STEQR)
128 BLAS_EXTERN void LAPACKsteqr_(const char *, const PetscBLASInt *, PetscReal *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
129 BLAS_EXTERN void LAPACKREALsteqr_(const char *, const PetscBLASInt *, PetscReal *, PetscReal *, PetscReal *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
130 #else
131   #define LAPACKsteqr_(a, b, c, d, e, f, g, h)     PetscMissingLapack("STEQR", a, b, c, d, e, f, g, h)
132   #define LAPACKREALsteqr_(a, b, c, d, e, f, g, h) PetscMissingLapack("STEQR", a, b, c, d, e, f, g, h)
133 #endif
134 #if !defined(PETSC_MISSING_LAPACK_STEV)
135 BLAS_EXTERN void LAPACKstev_(const char *, const PetscBLASInt *, PetscReal *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
136 BLAS_EXTERN void LAPACKREALstev_(const char *, const PetscBLASInt *, PetscReal *, PetscReal *, PetscReal *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
137 #else
138   #define LAPACKstev_(a, b, c, d, e, f, g, h)     PetscMissingLapack("STEV", a, b, c, d, e, f, g, h)
139   #define LAPACKREALstev_(a, b, c, d, e, f, g, h) PetscMissingLapack("STEV", a, b, c, d, e, f, g, h)
140 #endif
141 #if !defined(PETSC_MISSING_LAPACK_HGEQZ)
142 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 *);
143 #else
144   #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)
145 #endif
146 #if !defined(PETSC_MISSING_LAPACK_TRTRS)
147 BLAS_EXTERN void LAPACKtrtrs_(const char *, const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
148 #else
149   #define LAPACKtrtrs_(a, b, c, d, e, f, g, h, i, j) PetscMissingLapack("TRTRS", a, b, c, d, e, f, g, h, i, j)
150 #endif
151 BLAS_EXTERN void LAPACKgels_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
152 
153 /* handle complex dot() with special code */
154 #if defined(PETSC_USE_COMPLEX)
155 static inline PetscScalar BLASdot_(const PetscBLASInt *n, const PetscScalar *x, const PetscBLASInt *sx, const PetscScalar *y, const PetscBLASInt *sy)
156 {
157   PetscScalar sum = 0.0;
158   PetscInt    i, j, k;
159   if (*sx == 1 && *sy == 1) {
160     for (i = 0; i < *n; i++) sum += PetscConj(x[i]) * y[i];
161   } else {
162     for (i = 0, j = 0, k = 0; i < *n; i++, j += *sx, k += *sy) sum += PetscConj(x[j]) * y[k];
163   }
164   return sum;
165 }
166 static inline PetscScalar BLASdotu_(const PetscBLASInt *n, const PetscScalar *x, const PetscBLASInt *sx, const PetscScalar *y, const PetscBLASInt *sy)
167 {
168   PetscScalar sum = 0.0;
169   PetscInt    i, j, k;
170   if (*sx == 1 && *sy == 1) {
171     for (i = 0; i < *n; i++) sum += x[i] * y[i];
172   } else {
173     for (i = 0, j = 0, k = 0; i < *n; i++, j += *sx, k += *sy) sum += x[j] * y[k];
174   }
175   return sum;
176 }
177 #else
178   #if defined(PETSC_USE_REAL_SINGLE) && defined(PETSC_BLASLAPACK_SDOT_RETURNS_DOUBLE)
179 BLAS_EXTERN double    BLASdot_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
180 BLAS_EXTERN double    BLASdotu_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
181   #else
182 BLAS_EXTERN PetscScalar BLASdot_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
183   #endif
184 #endif
185 
186 /* Some functions prototypes do not exist for reals */
187 #if defined(PETSC_USE_COMPLEX)
188 BLAS_EXTERN void LAPACKhetrf_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
189 BLAS_EXTERN void LAPACKhetrs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
190 BLAS_EXTERN void LAPACKhetri_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, PetscBLASInt *);
191 BLAS_EXTERN void LAPACKheev_(const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
192 #endif
193 /* Some functions prototypes differ between real and complex */
194 #if defined(PETSC_USE_COMPLEX)
195   #if !defined(PETSC_MISSING_LAPACK_GELSS)
196 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 *);
197   #else
198     #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)
199   #endif
200 BLAS_EXTERN void LAPACKsyev_(const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
201 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 *);
202 BLAS_EXTERN void LAPACKsygv_(const PetscBLASInt *, const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
203 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 *);
204 BLAS_EXTERN void LAPACKpttrs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscReal *, const PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
205   #if !defined(PETSC_MISSING_LAPACK_GERFS)
206 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 *);
207   #else
208     #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)
209   #endif
210   #if !defined(PETSC_MISSING_LAPACK_TRSEN)
211 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 *);
212   #else
213     #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)
214   #endif
215   #if !defined(PETSC_MISSING_LAPACK_TGSEN)
216 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 *);
217   #else
218     #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)
219   #endif
220   #if !defined(PETSC_MISSING_LAPACK_GGES)
221 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 *);
222   #else
223     #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)
224   #endif
225   #if !defined(PETSC_MISSING_LAPACK_HSEQR)
226 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 *);
227   #else
228     #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)
229   #endif
230 #else /* !defined(PETSC_USE_COMPLEX) */
231   #if !defined(PETSC_MISSING_LAPACK_GELSS)
232 BLAS_EXTERN void LAPACKgelss_(const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, const PetscReal *, PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
233   #else
234     #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)
235   #endif
236 BLAS_EXTERN void LAPACKsyev_(const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
237 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 *);
238 BLAS_EXTERN void LAPACKsygv_(const PetscBLASInt *, const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
239 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 *);
240 BLAS_EXTERN void LAPACKpttrs_(const PetscBLASInt *, const PetscBLASInt *, const PetscReal *, const PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
241   #if !defined(PETSC_MISSING_LAPACK_STEBZ)
242 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 *);
243   #else
244     #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)
245   #endif
246   #if !defined(PETSC_MISSING_LAPACK_GERFS)
247 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 *);
248   #else
249     #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)
250   #endif
251   #if !defined(PETSC_MISSING_LAPACK_TRSEN)
252 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 *);
253   #else
254     #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)
255   #endif
256   #if !defined(PETSC_MISSING_LAPACK_TGSEN)
257 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 *);
258   #else
259     #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)
260   #endif
261   #if !defined(PETSC_MISSING_LAPACK_GGES)
262 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 *);
263   #else
264     #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)
265   #endif
266   #if !defined(PETSC_MISSING_LAPACK_HSEQR)
267 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 *);
268   #else
269     #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)
270   #endif
271 #endif /* defined(PETSC_USE_COMPLEX) */
272 
273 #if defined(PETSC_USE_COMPLEX)
274 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 *);
275 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 *);
276 #else
277 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 *);
278 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 *);
279 #endif
280