xref: /petsc/src/mat/impls/baij/seq/baij.h (revision b2b2dd246975d7f9c8a1571def503d28e659d8b1)
1 
2 #if !defined(__BAIJ_H)
3 #define __BAIJ_H
4 #include "private/matimpl.h"
5 #include "../src/mat/impls/aij/seq/aij.h"
6 #include "../src/mat/impls/baij/seq/ftn-kernels/fsolvebaij.h"
7 
8 /*
9   MATSEQBAIJ format - Block compressed row storage. The i[] and j[]
10   arrays start at 0.
11 */
12 
13 /* This header is shared by the SeqSBAIJ matrix */
14 #define SEQBAIJHEADER \
15   PetscInt         bs2;              /*  square of block size */                                     \
16   PetscInt         mbs,nbs;          /* rows/bs, columns/bs */                                       \
17   PetscScalar      *mult_work;       /* work array for matrix vector product*/                       \
18   MatScalar        *saved_values;                                                                    \
19                                                                                                      \
20   Mat              sbaijMat;         /* mat in sbaij format */                                       \
21                                                                                                      \
22                                                                                                      \
23   MatScalar        *idiag;           /* inverse of block diagonal  */                                \
24   PetscTruth       idiagvalid       /* if above has correct/current values */
25 
26 
27 typedef struct {
28   SEQAIJHEADER(MatScalar);
29   SEQBAIJHEADER;
30 } Mat_SeqBAIJ;
31 
32 EXTERN_C_BEGIN
33 EXTERN PetscErrorCode MatSeqBAIJSetPreallocation_SeqBAIJ(Mat,PetscInt,PetscInt,PetscInt*);
34 EXTERN_C_END
35 EXTERN PetscErrorCode MatILUFactorSymbolic_SeqBAIJ(Mat,Mat,IS,IS,const MatFactorInfo*);
36 EXTERN PetscErrorCode MatICCFactorSymbolic_SeqBAIJ(Mat,Mat,IS,const MatFactorInfo*);
37 EXTERN PetscErrorCode MatCholeskyFactorSymbolic_SeqBAIJ(Mat,Mat,IS,const MatFactorInfo*);
38 EXTERN PetscErrorCode MatCholeskyFactorNumeric_SeqBAIJ_N(Mat,Mat,const MatFactorInfo*);
39 EXTERN PetscErrorCode MatCholeskyFactorNumeric_SeqBAIJ_N_NaturalOrdering(Mat,Mat,const MatFactorInfo*);
40 EXTERN PetscErrorCode MatDuplicate_SeqBAIJ(Mat,MatDuplicateOption,Mat*);
41 EXTERN PetscErrorCode MatMissingDiagonal_SeqBAIJ(Mat,PetscTruth*,PetscInt*);
42 EXTERN PetscErrorCode MatMarkDiagonal_SeqBAIJ(Mat);
43 EXTERN PetscErrorCode MatILUDTFactor_SeqBAIJ(Mat,IS,IS,const MatFactorInfo*,Mat*);
44 
45 EXTERN PetscErrorCode MatLUFactorSymbolic_SeqBAIJ(Mat,Mat,IS,IS,const MatFactorInfo*);
46 EXTERN PetscErrorCode MatLUFactor_SeqBAIJ(Mat,IS,IS,const MatFactorInfo*);
47 EXTERN PetscErrorCode MatIncreaseOverlap_SeqBAIJ(Mat,PetscInt,IS*,PetscInt);
48 EXTERN PetscErrorCode MatGetSubMatrix_SeqBAIJ(Mat,IS,IS,MatReuse,Mat*);
49 EXTERN PetscErrorCode MatGetSubMatrices_SeqBAIJ(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat*[]);
50 EXTERN PetscErrorCode MatMultTranspose_SeqBAIJ(Mat,Vec,Vec);
51 EXTERN PetscErrorCode MatMultTransposeAdd_SeqBAIJ(Mat,Vec,Vec,Vec);
52 EXTERN PetscErrorCode MatScale_SeqBAIJ(Mat,PetscScalar);
53 EXTERN PetscErrorCode MatNorm_SeqBAIJ(Mat,NormType,PetscReal *);
54 EXTERN PetscErrorCode MatEqual_SeqBAIJ(Mat,Mat,PetscTruth*);
55 EXTERN PetscErrorCode MatGetDiagonal_SeqBAIJ(Mat,Vec);
56 EXTERN PetscErrorCode MatDiagonalScale_SeqBAIJ(Mat,Vec,Vec);
57 EXTERN PetscErrorCode MatGetInfo_SeqBAIJ(Mat,MatInfoType,MatInfo *);
58 EXTERN PetscErrorCode MatZeroEntries_SeqBAIJ(Mat);
59 
60 EXTERN PetscErrorCode MatSeqBAIJ_UpdateFactorNumeric_NaturalOrdering(Mat);
61 
62 EXTERN PetscErrorCode MatSolve_SeqBAIJ_1(Mat,Vec,Vec);
63 EXTERN PetscErrorCode MatSolve_SeqBAIJ_1_NaturalOrdering(Mat,Vec,Vec);
64 EXTERN PetscErrorCode MatSolve_SeqBAIJ_2(Mat,Vec,Vec);
65 EXTERN PetscErrorCode MatSolve_SeqBAIJ_2_newdatastruct(Mat,Vec,Vec);
66 EXTERN PetscErrorCode MatSolve_SeqBAIJ_2_NaturalOrdering(Mat,Vec,Vec);
67 EXTERN PetscErrorCode MatSolve_SeqBAIJ_2_NaturalOrdering_newdatastruct(Mat,Vec,Vec);
68 EXTERN PetscErrorCode MatSolve_SeqBAIJ_2_NaturalOrdering_newdatastruct_v2(Mat,Vec,Vec);
69 EXTERN PetscErrorCode MatSolve_SeqBAIJ_3_NaturalOrdering_newdatastruct(Mat,Vec,Vec);
70 EXTERN PetscErrorCode MatSolve_SeqBAIJ_3_NaturalOrdering_newdatastruct_v2(Mat,Vec,Vec);
71 EXTERN PetscErrorCode MatSolve_SeqBAIJ_3(Mat,Vec,Vec);
72 EXTERN PetscErrorCode MatSolve_SeqBAIJ_3_newdatastruct(Mat,Vec,Vec);
73 EXTERN PetscErrorCode MatSolve_SeqBAIJ_3_NaturalOrdering(Mat,Vec,Vec);
74 EXTERN PetscErrorCode MatSolve_SeqBAIJ_3_NaturalOrdering_newdatastruct(Mat,Vec,Vec);
75 EXTERN PetscErrorCode MatSolve_SeqBAIJ_4(Mat,Vec,Vec);
76 EXTERN PetscErrorCode MatSolve_SeqBAIJ_4_newdatastruct(Mat,Vec,Vec);
77 EXTERN PetscErrorCode MatSolve_SeqBAIJ_4_NaturalOrdering(Mat,Vec,Vec);
78 EXTERN PetscErrorCode MatSolve_SeqBAIJ_4_NaturalOrdering_newdatastruct(Mat,Vec,Vec);
79 EXTERN PetscErrorCode MatSolve_SeqBAIJ_4_NaturalOrdering_newdatastruct_v2(Mat,Vec,Vec);
80 #if defined(PETSC_HAVE_SSE)
81 EXTERN PetscErrorCode MatSolve_SeqBAIJ_4_SSE_Demotion(Mat,Vec,Vec);
82 EXTERN PetscErrorCode MatSolve_SeqBAIJ_4_NaturalOrdering_SSE_Demotion(Mat,Vec,Vec);
83 EXTERN PetscErrorCode MatSolve_SeqBAIJ_4_NaturalOrdering_SSE_Demotion_usj(Mat,Vec,Vec);
84 #endif
85 EXTERN PetscErrorCode MatSolve_SeqBAIJ_5(Mat,Vec,Vec);
86 EXTERN PetscErrorCode MatSolve_SeqBAIJ_5_newdatastruct(Mat,Vec,Vec);
87 EXTERN PetscErrorCode MatSolve_SeqBAIJ_5_NaturalOrdering(Mat,Vec,Vec);
88 EXTERN PetscErrorCode MatSolve_SeqBAIJ_5_NaturalOrdering_newdatastruct(Mat,Vec,Vec);
89 EXTERN PetscErrorCode MatSolve_SeqBAIJ_6(Mat,Vec,Vec);
90 EXTERN PetscErrorCode MatSolve_SeqBAIJ_6_newdatastruct(Mat,Vec,Vec);
91 EXTERN PetscErrorCode MatSolve_SeqBAIJ_6_NaturalOrdering(Mat,Vec,Vec);
92 EXTERN PetscErrorCode MatSolve_SeqBAIJ_6_NaturalOrdering_newdatastruct(Mat,Vec,Vec);
93 EXTERN PetscErrorCode MatSolve_SeqBAIJ_7(Mat,Vec,Vec);
94 EXTERN PetscErrorCode MatSolve_SeqBAIJ_7_newdatastruct(Mat,Vec,Vec);
95 EXTERN PetscErrorCode MatSolve_SeqBAIJ_7_NaturalOrdering(Mat,Vec,Vec);
96 EXTERN PetscErrorCode MatSolve_SeqBAIJ_7_NaturalOrdering_newdatastruct(Mat,Vec,Vec);
97 EXTERN PetscErrorCode MatSolve_SeqBAIJ_N(Mat,Vec,Vec);
98 EXTERN PetscErrorCode MatSolve_SeqBAIJ_N_newdatastruct(Mat,Vec,Vec);
99 EXTERN PetscErrorCode MatSolve_SeqBAIJ_N_NaturalOrdering_newdatastruct(Mat,Vec,Vec);
100 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_Update(Mat,Vec,Vec);
101 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_1(Mat,Vec,Vec);
102 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_1_NaturalOrdering(Mat,Vec,Vec);
103 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_2(Mat,Vec,Vec);
104 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_2_NaturalOrdering(Mat,Vec,Vec);
105 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_3(Mat,Vec,Vec);
106 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_3_NaturalOrdering(Mat,Vec,Vec);
107 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_4(Mat,Vec,Vec);
108 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_4_NaturalOrdering(Mat,Vec,Vec);
109 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_5(Mat,Vec,Vec);
110 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_5_NaturalOrdering(Mat,Vec,Vec);
111 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_6(Mat,Vec,Vec);
112 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_6_NaturalOrdering(Mat,Vec,Vec);
113 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_7(Mat,Vec,Vec);
114 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_7_NaturalOrdering(Mat,Vec,Vec);
115 
116 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_N_newdatastruct(Mat,Mat,const MatFactorInfo*);
117 
118 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_1(Mat,Mat,const MatFactorInfo*);
119 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_2(Mat,Mat,const MatFactorInfo*);
120 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_2_newdatastruct(Mat,Mat,const MatFactorInfo*);
121 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_2_NaturalOrdering(Mat,Mat,const MatFactorInfo*);
122 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_2_NaturalOrdering_newdatastruct(Mat,Mat,const MatFactorInfo*);
123 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_2_NaturalOrdering_newdatastruct_v2(Mat,Mat,const MatFactorInfo*);
124 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_3(Mat,Mat,const MatFactorInfo*);
125 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_3_newdatastruct(Mat,Mat,const MatFactorInfo*);
126 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_3_NaturalOrdering(Mat,Mat,const MatFactorInfo*);
127 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_3_NaturalOrdering_newdatastruct(Mat,Mat,const MatFactorInfo*);
128 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_3_NaturalOrdering_newdatastruct_v2(Mat,Mat,const MatFactorInfo*);
129 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_4(Mat,Mat,const MatFactorInfo*);
130 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_4_newdatastruct(Mat,Mat,const MatFactorInfo*);
131 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_4_NaturalOrdering(Mat,Mat,const MatFactorInfo*);
132 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_4_NaturalOrdering_newdatastruct(Mat,Mat,const MatFactorInfo*);
133 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_4_NaturalOrdering_newdatastruct_v2(Mat,Mat,const MatFactorInfo*);
134 #if defined(PETSC_HAVE_SSE)
135 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_4_NaturalOrdering_SSE(Mat,Mat,const MatFactorInfo*);
136 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_4_NaturalOrdering_SSE_usj(Mat,Mat,const MatFactorInfo*);
137 #else
138 #endif
139 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_5(Mat,Mat,const MatFactorInfo*);
140 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_5_newdatastruct(Mat,Mat,const MatFactorInfo*);
141 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_5_NaturalOrdering(Mat,Mat,const MatFactorInfo*);
142 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_5_NaturalOrdering_newdatastruct(Mat,Mat,const MatFactorInfo*);
143 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6(Mat,Mat,const MatFactorInfo*);
144 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_newdatastruct(Mat,Mat,const MatFactorInfo*);
145 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering(Mat,Mat,const MatFactorInfo*);
146 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering_newdatastruct(Mat,Mat,const MatFactorInfo*);
147 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7(Mat,Mat,const MatFactorInfo*);
148 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7_newdatastruct(Mat,Mat,const MatFactorInfo*);
149 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering(Mat,Mat,const MatFactorInfo*);
150 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering_newdatastruct(Mat,Mat,const MatFactorInfo*);
151 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_N(Mat,Mat,const MatFactorInfo*);
152 
153 EXTERN PetscErrorCode MatMult_SeqBAIJ_1(Mat,Vec,Vec);
154 EXTERN PetscErrorCode MatMult_SeqBAIJ_2(Mat,Vec,Vec);
155 EXTERN PetscErrorCode MatMult_SeqBAIJ_3(Mat,Vec,Vec);
156 EXTERN PetscErrorCode MatMult_SeqBAIJ_4(Mat,Vec,Vec);
157 EXTERN PetscErrorCode MatMult_SeqBAIJ_5(Mat,Vec,Vec);
158 EXTERN PetscErrorCode MatMult_SeqBAIJ_6(Mat,Vec,Vec);
159 EXTERN PetscErrorCode MatMult_SeqBAIJ_7(Mat,Vec,Vec);
160 EXTERN PetscErrorCode MatMult_SeqBAIJ_N(Mat,Vec,Vec);
161 
162 EXTERN PetscErrorCode MatMultAdd_SeqBAIJ_1(Mat,Vec,Vec,Vec);
163 EXTERN PetscErrorCode MatMultAdd_SeqBAIJ_2(Mat,Vec,Vec,Vec);
164 EXTERN PetscErrorCode MatMultAdd_SeqBAIJ_3(Mat,Vec,Vec,Vec);
165 EXTERN PetscErrorCode MatMultAdd_SeqBAIJ_4(Mat,Vec,Vec,Vec);
166 EXTERN PetscErrorCode MatMultAdd_SeqBAIJ_5(Mat,Vec,Vec,Vec);
167 EXTERN PetscErrorCode MatMultAdd_SeqBAIJ_6(Mat,Vec,Vec,Vec);
168 EXTERN PetscErrorCode MatMultAdd_SeqBAIJ_7(Mat,Vec,Vec,Vec);
169 EXTERN PetscErrorCode MatMultAdd_SeqBAIJ_N(Mat,Vec,Vec,Vec);
170 EXTERN PetscErrorCode MatLoad_SeqBAIJ(PetscViewer, const MatType,Mat*);
171 
172 /*
173   Kernel_A_gets_A_times_B_2: A = A * B with size bs=2
174 
175   Input Parameters:
176 +  A,B - square bs by bs arrays stored in column major order
177 -  W   - bs*bs work arrary
178 
179   Output Parameter:
180 .  A = A * B
181 */
182 
183 #define Kernel_A_gets_A_times_B_2(A,B,W) 0;\
184 {\
185   PetscMemcpy(W,A,4*sizeof(MatScalar));\
186   A[0] = W[0]*B[0] + W[2]*B[1];\
187   A[1] = W[1]*B[0] + W[3]*B[1];\
188   A[2] = W[0]*B[2] + W[2]*B[3];\
189   A[3] = W[1]*B[2] + W[3]*B[3];\
190 }
191 
192 /*
193   Kernel_A_gets_A_minus_B_times_C_2: A = A - B * C with size bs=2
194 
195   Input Parameters:
196 +  A,B,C - square bs by bs arrays stored in column major order
197 
198   Output Parameter:
199 .  A = A - B*C
200 */
201 
202 #define Kernel_A_gets_A_minus_B_times_C_2(A,B,C) 0;\
203 {\
204   A[0] -= B[0]*C[0] + B[2]*C[1];\
205   A[1] -= B[1]*C[0] + B[3]*C[1];\
206   A[2] -= B[0]*C[2] + B[2]*C[3];\
207   A[3] -= B[1]*C[2] + B[3]*C[3];\
208 }
209 
210 /*
211   Kernel_A_gets_A_times_B_3: A = A * B with size bs=3
212 
213   Input Parameters:
214 +  A,B - square bs by bs arrays stored in column major order
215 -  W   - bs*bs work arrary
216 
217   Output Parameter:
218 .  A = A * B
219 */
220 
221 #define Kernel_A_gets_A_times_B_3(A,B,W) 0;\
222 {\
223   PetscMemcpy(W,A,9*sizeof(MatScalar));\
224   A[0] = W[0]*B[0] + W[3]*B[1] + W[6]*B[2];\
225   A[1] = W[1]*B[0] + W[4]*B[1] + W[7]*B[2];\
226   A[2] = W[2]*B[0] + W[5]*B[1] + W[8]*B[2];\
227   A[3] = W[0]*B[3] + W[3]*B[4] + W[6]*B[5];\
228   A[4] = W[1]*B[3] + W[4]*B[4] + W[7]*B[5];\
229   A[5] = W[2]*B[3] + W[5]*B[4] + W[8]*B[5];\
230   A[6] = W[0]*B[6] + W[3]*B[7] + W[6]*B[8];\
231   A[7] = W[1]*B[6] + W[4]*B[7] + W[7]*B[8];\
232   A[8] = W[2]*B[6] + W[5]*B[7] + W[8]*B[8];\
233 }
234 
235 /*
236   Kernel_A_gets_A_minus_B_times_C_3: A = A - B * C with size bs=3
237 
238   Input Parameters:
239 +  A,B,C - square bs by bs arrays stored in column major order
240 
241   Output Parameter:
242 .  A = A - B*C
243 */
244 
245 #define Kernel_A_gets_A_minus_B_times_C_3(A,B,C) 0;\
246 {\
247   A[0] -= B[0]*C[0] + B[3]*C[1] + B[6]*C[2];\
248   A[1] -= B[1]*C[0] + B[4]*C[1] + B[7]*C[2];\
249   A[2] -= B[2]*C[0] + B[5]*C[1] + B[8]*C[2];\
250   A[3] -= B[0]*C[3] + B[3]*C[4] + B[6]*C[5];\
251   A[4] -= B[1]*C[3] + B[4]*C[4] + B[7]*C[5];\
252   A[5] -= B[2]*C[3] + B[5]*C[4] + B[8]*C[5];\
253   A[6] -= B[0]*C[6] + B[3]*C[7] + B[6]*C[8];\
254   A[7] -= B[1]*C[6] + B[4]*C[7] + B[7]*C[8];\
255   A[8] -= B[2]*C[6] + B[5]*C[7] + B[8]*C[8];\
256 }
257 
258 /*
259   Kernel_A_gets_A_times_B_4: A = A * B with size bs=4
260 
261   Input Parameters:
262 +  A,B - square bs by bs arrays stored in column major order
263 -  W   - bs*bs work arrary
264 
265   Output Parameter:
266 .  A = A * B
267 */
268 
269 #define Kernel_A_gets_A_times_B_4(A,B,W) 0;\
270 {\
271   PetscMemcpy(W,A,16*sizeof(MatScalar));\
272   A[0] =  W[0]*B[0]  + W[4]*B[1]  + W[8]*B[2]   + W[12]*B[3];\
273   A[1] =  W[1]*B[0]  + W[5]*B[1]  + W[9]*B[2]   + W[13]*B[3];\
274   A[2] =  W[2]*B[0]  + W[6]*B[1]  + W[10]*B[2]  + W[14]*B[3];\
275   A[3] =  W[3]*B[0]  + W[7]*B[1]  + W[11]*B[2]  + W[15]*B[3];\
276   A[4] =  W[0]*B[4]  + W[4]*B[5]  + W[8]*B[6]   + W[12]*B[7];\
277   A[5] =  W[1]*B[4]  + W[5]*B[5]  + W[9]*B[6]   + W[13]*B[7];\
278   A[6] =  W[2]*B[4]  + W[6]*B[5]  + W[10]*B[6]  + W[14]*B[7];\
279   A[7] =  W[3]*B[4]  + W[7]*B[5]  + W[11]*B[6]  + W[15]*B[7];\
280   A[8] =  W[0]*B[8]  + W[4]*B[9]  + W[8]*B[10]  + W[12]*B[11];\
281   A[9] =  W[1]*B[8]  + W[5]*B[9]  + W[9]*B[10]  + W[13]*B[11];\
282   A[10] = W[2]*B[8]  + W[6]*B[9]  + W[10]*B[10] + W[14]*B[11];\
283   A[11] = W[3]*B[8]  + W[7]*B[9]  + W[11]*B[10] + W[15]*B[11];\
284   A[12] = W[0]*B[12] + W[4]*B[13] + W[8]*B[14]  + W[12]*B[15];\
285   A[13] = W[1]*B[12] + W[5]*B[13] + W[9]*B[14]  + W[13]*B[15];\
286   A[14] = W[2]*B[12] + W[6]*B[13] + W[10]*B[14] + W[14]*B[15];\
287   A[15] = W[3]*B[12] + W[7]*B[13] + W[11]*B[14] + W[15]*B[15];\
288 }
289 
290 /*
291   Kernel_A_gets_A_minus_B_times_C_4: A = A - B * C with size bs=4
292 
293   Input Parameters:
294 +  A,B,C - square bs by bs arrays stored in column major order
295 
296   Output Parameter:
297 .  A = A - B*C
298 */
299 
300 #define Kernel_A_gets_A_minus_B_times_C_4(A,B,C) 0;\
301 {\
302   A[0] -=  B[0]*C[0]  + B[4]*C[1]  + B[8]*C[2]   + B[12]*C[3];\
303   A[1] -=  B[1]*C[0]  + B[5]*C[1]  + B[9]*C[2]   + B[13]*C[3];\
304   A[2] -=  B[2]*C[0]  + B[6]*C[1]  + B[10]*C[2]  + B[14]*C[3];\
305   A[3] -=  B[3]*C[0]  + B[7]*C[1]  + B[11]*C[2]  + B[15]*C[3];\
306   A[4] -=  B[0]*C[4]  + B[4]*C[5]  + B[8]*C[6]   + B[12]*C[7];\
307   A[5] -=  B[1]*C[4]  + B[5]*C[5]  + B[9]*C[6]   + B[13]*C[7];\
308   A[6] -=  B[2]*C[4]  + B[6]*C[5]  + B[10]*C[6]  + B[14]*C[7];\
309   A[7] -=  B[3]*C[4]  + B[7]*C[5]  + B[11]*C[6]  + B[15]*C[7];\
310   A[8] -=  B[0]*C[8]  + B[4]*C[9]  + B[8]*C[10]  + B[12]*C[11];\
311   A[9] -=  B[1]*C[8]  + B[5]*C[9]  + B[9]*C[10]  + B[13]*C[11];\
312   A[10] -= B[2]*C[8]  + B[6]*C[9]  + B[10]*C[10] + B[14]*C[11];\
313   A[11] -= B[3]*C[8]  + B[7]*C[9]  + B[11]*C[10] + B[15]*C[11];\
314   A[12] -= B[0]*C[12] + B[4]*C[13] + B[8]*C[14]  + B[12]*C[15];\
315   A[13] -= B[1]*C[12] + B[5]*C[13] + B[9]*C[14]  + B[13]*C[15];\
316   A[14] -= B[2]*C[12] + B[6]*C[13] + B[10]*C[14] + B[14]*C[15];\
317   A[15] -= B[3]*C[12] + B[7]*C[13] + B[11]*C[14] + B[15]*C[15];\
318 }
319 
320 #define Kernel_A_gets_A_times_B_5(A,B,W) 0;\
321 {\
322   PetscMemcpy(W,A,25*sizeof(MatScalar));\
323   A[0] =  W[0]*B[0]  + W[5]*B[1]  + W[10]*B[2]   + W[15]*B[3] + W[20]*B[4];\
324   A[1] =  W[1]*B[0]  + W[6]*B[1]  + W[11]*B[2]   + W[16]*B[3] + W[21]*B[4];\
325   A[2] =  W[2]*B[0]  + W[7]*B[1]  + W[12]*B[2]  + W[17]*B[3]  + W[22]*B[4];\
326   A[3] =  W[3]*B[0]  + W[8]*B[1]  + W[13]*B[2]  + W[18]*B[3]  + W[23]*B[4];\
327   A[4] =  W[4]*B[0]  + W[9]*B[1]  + W[14]*B[2]   + W[19]*B[3] + W[24]*B[4];\
328   A[5] =  W[0]*B[5]  + W[5]*B[6]  + W[10]*B[7]   + W[15]*B[8] + W[20]*B[9];\
329   A[6] =  W[1]*B[5]  + W[6]*B[6]  + W[11]*B[7]   + W[16]*B[8] + W[21]*B[9];\
330   A[7] =  W[2]*B[5]  + W[7]*B[6]  + W[12]*B[7]  + W[17]*B[8]  + W[22]*B[9];\
331   A[8] =  W[3]*B[5]  + W[8]*B[6]  + W[13]*B[7]  + W[18]*B[8]  + W[23]*B[9];\
332   A[9] =  W[4]*B[5]  + W[9]*B[6]  + W[14]*B[7]   + W[19]*B[8] + W[24]*B[9];\
333   A[10] =  W[0]*B[10]  + W[5]*B[11]  + W[10]*B[12]   + W[15]*B[13] + W[20]*B[14];\
334   A[11] =  W[1]*B[10]  + W[6]*B[11]  + W[11]*B[12]   + W[16]*B[13] + W[21]*B[14];\
335   A[12] =  W[2]*B[10]  + W[7]*B[11]  + W[12]*B[12]  + W[17]*B[13]  + W[22]*B[14];\
336   A[13] =  W[3]*B[10]  + W[8]*B[11]  + W[13]*B[12]  + W[18]*B[13]  + W[23]*B[14];\
337   A[14] =  W[4]*B[10]  + W[9]*B[11]  + W[14]*B[12]   + W[19]*B[13] + W[24]*B[14];\
338   A[15] =  W[0]*B[15]  + W[5]*B[16]  + W[10]*B[17]   + W[15]*B[18] + W[20]*B[19];\
339   A[16] =  W[1]*B[15]  + W[6]*B[16]  + W[11]*B[17]   + W[16]*B[18] + W[21]*B[19];\
340   A[17] =  W[2]*B[15]  + W[7]*B[16]  + W[12]*B[17]  + W[17]*B[18]  + W[22]*B[19];\
341   A[18] =  W[3]*B[15]  + W[8]*B[16]  + W[13]*B[17]  + W[18]*B[18]  + W[23]*B[19];\
342   A[19] =  W[4]*B[15]  + W[9]*B[16]  + W[14]*B[17]   + W[19]*B[18] + W[24]*B[19];\
343   A[20] =  W[0]*B[20]  + W[5]*B[21]  + W[10]*B[22]   + W[15]*B[23] + W[20]*B[24];\
344   A[21] =  W[1]*B[20]  + W[6]*B[21]  + W[11]*B[22]   + W[16]*B[23] + W[21]*B[24];\
345   A[22] =  W[2]*B[20]  + W[7]*B[21]  + W[12]*B[22]  + W[17]*B[23]  + W[22]*B[24];\
346   A[23] =  W[3]*B[20]  + W[8]*B[21]  + W[13]*B[22]  + W[18]*B[23]  + W[23]*B[24];\
347   A[24] =  W[4]*B[20]  + W[9]*B[21]  + W[14]*B[22]   + W[19]*B[23] + W[24]*B[24];\
348 }
349 
350 /*
351   Kernel_A_gets_A_minus_B_times_C_5: A = A - B * C with size bs=5
352 
353   Input Parameters:
354 +  A,B,C - square bs by bs arrays stored in column major order
355 
356   Output Parameter:
357 .  A = A - B*C
358 */
359 
360 #define Kernel_A_gets_A_minus_B_times_C_5(A,B,C) 0;\
361 {\
362   A[0] -=  B[0]*C[0]  + B[5]*C[1]  + B[10]*C[2]   + B[15]*C[3] + B[20]*C[4];\
363   A[1] -=  B[1]*C[0]  + B[6]*C[1]  + B[11]*C[2]   + B[16]*C[3] + B[21]*C[4];\
364   A[2] -=  B[2]*C[0]  + B[7]*C[1]  + B[12]*C[2]  + B[17]*C[3]  + B[22]*C[4];\
365   A[3] -=  B[3]*C[0]  + B[8]*C[1]  + B[13]*C[2]  + B[18]*C[3]  + B[23]*C[4];\
366   A[4] -=  B[4]*C[0]  + B[9]*C[1]  + B[14]*C[2]   + B[19]*C[3] + B[24]*C[4];\
367   A[5] -=  B[0]*C[5]  + B[5]*C[6]  + B[10]*C[7]   + B[15]*C[8] + B[20]*C[9];\
368   A[6] -=  B[1]*C[5]  + B[6]*C[6]  + B[11]*C[7]   + B[16]*C[8] + B[21]*C[9];\
369   A[7] -=  B[2]*C[5]  + B[7]*C[6]  + B[12]*C[7]  + B[17]*C[8]  + B[22]*C[9];\
370   A[8] -=  B[3]*C[5]  + B[8]*C[6]  + B[13]*C[7]  + B[18]*C[8]  + B[23]*C[9];\
371   A[9] -=  B[4]*C[5]  + B[9]*C[6]  + B[14]*C[7]   + B[19]*C[8] + B[24]*C[9];\
372   A[10] -=  B[0]*C[10]  + B[5]*C[11]  + B[10]*C[12]   + B[15]*C[13] + B[20]*C[14];\
373   A[11] -=  B[1]*C[10]  + B[6]*C[11]  + B[11]*C[12]   + B[16]*C[13] + B[21]*C[14];\
374   A[12] -=  B[2]*C[10]  + B[7]*C[11]  + B[12]*C[12]  + B[17]*C[13]  + B[22]*C[14];\
375   A[13] -=  B[3]*C[10]  + B[8]*C[11]  + B[13]*C[12]  + B[18]*C[13]  + B[23]*C[14];\
376   A[14] -=  B[4]*C[10]  + B[9]*C[11]  + B[14]*C[12]   + B[19]*C[13] + B[24]*C[14];\
377   A[15] -=  B[0]*C[15]  + B[5]*C[16]  + B[10]*C[17]   + B[15]*C[18] + B[20]*C[19];\
378   A[16] -=  B[1]*C[15]  + B[6]*C[16]  + B[11]*C[17]   + B[16]*C[18] + B[21]*C[19];\
379   A[17] -=  B[2]*C[15]  + B[7]*C[16]  + B[12]*C[17]  + B[17]*C[18]  + B[22]*C[19];\
380   A[18] -=  B[3]*C[15]  + B[8]*C[16]  + B[13]*C[17]  + B[18]*C[18]  + B[23]*C[19];\
381   A[19] -=  B[4]*C[15]  + B[9]*C[16]  + B[14]*C[17]   + B[19]*C[18] + B[24]*C[19];\
382   A[20] -=  B[0]*C[20]  + B[5]*C[21]  + B[10]*C[22]   + B[15]*C[23] + B[20]*C[24];\
383   A[21] -=  B[1]*C[20]  + B[6]*C[21]  + B[11]*C[22]   + B[16]*C[23] + B[21]*C[24];\
384   A[22] -=  B[2]*C[20]  + B[7]*C[21]  + B[12]*C[22]  + B[17]*C[23]  + B[22]*C[24];\
385   A[23] -=  B[3]*C[20]  + B[8]*C[21]  + B[13]*C[22]  + B[18]*C[23]  + B[23]*C[24];\
386   A[24] -=  B[4]*C[20]  + B[9]*C[21]  + B[14]*C[22]   + B[19]*C[23] + B[24]*C[24];\
387 }
388 
389 #define Kernel_A_gets_A_times_B_6(A,B,W) 0;\
390 {\
391   PetscMemcpy(W,A,36*sizeof(MatScalar));\
392   A[0]  =  W[0]*B[0]   + W[6]*B[1]   + W[12]*B[2]   + W[18]*B[3]  + W[24]*B[4]  + W[30]*B[5];\
393   A[1]  =  W[1]*B[0]   + W[7]*B[1]   + W[13]*B[2]   + W[19]*B[3]  + W[25]*B[4]  + W[31]*B[5];\
394   A[2]  =  W[2]*B[0]   + W[8]*B[1]   + W[14]*B[2]   + W[20]*B[3]  + W[26]*B[4]  + W[32]*B[5];\
395   A[3]  =  W[3]*B[0]   + W[9]*B[1]   + W[15]*B[2]   + W[21]*B[3]  + W[27]*B[4]  + W[33]*B[5];\
396   A[4]  =  W[4]*B[0]   + W[10]*B[1]  + W[16]*B[2]   + W[22]*B[3]  + W[28]*B[4]  + W[34]*B[5];\
397   A[5]  =  W[5]*B[0]   + W[11]*B[1]  + W[17]*B[2]   + W[23]*B[3]  + W[29]*B[4]  + W[35]*B[5];\
398   A[6]  =  W[0]*B[6]   + W[6]*B[7]   + W[12]*B[8]   + W[18]*B[9]  + W[24]*B[10] + W[30]*B[11];\
399   A[7]  =  W[1]*B[6]   + W[7]*B[7]   + W[13]*B[8]   + W[19]*B[9]  + W[25]*B[10] + W[31]*B[11];\
400   A[8]  =  W[2]*B[6]   + W[8]*B[7]   + W[14]*B[8]   + W[20]*B[9]  + W[26]*B[10] + W[32]*B[11];\
401   A[9]  =  W[3]*B[6]   + W[9]*B[7]   + W[15]*B[8]   + W[21]*B[9]  + W[27]*B[10] + W[33]*B[11];\
402   A[10] =  W[4]*B[6]   + W[10]*B[7]  + W[16]*B[8]   + W[22]*B[9]  + W[28]*B[10] + W[34]*B[11];\
403   A[11] =  W[5]*B[6]   + W[11]*B[7]  + W[17]*B[8]   + W[23]*B[9]  + W[29]*B[10] + W[35]*B[11];\
404   A[12] =  W[0]*B[12]  + W[6]*B[13]  + W[12]*B[14]  + W[18]*B[15] + W[24]*B[16] + W[30]*B[17];\
405   A[13] =  W[1]*B[12]  + W[7]*B[13]  + W[13]*B[14]  + W[19]*B[15] + W[25]*B[16] + W[31]*B[17];\
406   A[14] =  W[2]*B[12]  + W[8]*B[13]  + W[14]*B[14]  + W[20]*B[15] + W[26]*B[16] + W[32]*B[17];\
407   A[15] =  W[3]*B[12]  + W[9]*B[13]  + W[15]*B[14]  + W[21]*B[15] + W[27]*B[16] + W[33]*B[17];\
408   A[16] =  W[4]*B[12]  + W[10]*B[13] + W[16]*B[14]  + W[22]*B[15] + W[28]*B[16] + W[34]*B[17];\
409   A[17] =  W[5]*B[12]  + W[11]*B[13] + W[17]*B[14]  + W[23]*B[15] + W[29]*B[16] + W[35]*B[17];\
410   A[18] =  W[0]*B[18]  + W[6]*B[19]  + W[12]*B[20]  + W[18]*B[21] + W[24]*B[22] + W[30]*B[23];\
411   A[19] =  W[1]*B[18]  + W[7]*B[19]  + W[13]*B[20]  + W[19]*B[21] + W[25]*B[22] + W[31]*B[23];\
412   A[20] =  W[2]*B[18]  + W[8]*B[19]  + W[14]*B[20]  + W[20]*B[21] + W[26]*B[22] + W[32]*B[23];\
413   A[21] =  W[3]*B[18]  + W[9]*B[19]  + W[15]*B[20]  + W[21]*B[21] + W[27]*B[22] + W[33]*B[23];\
414   A[22] =  W[4]*B[18]  + W[10]*B[19] + W[16]*B[20]  + W[22]*B[21] + W[28]*B[22] + W[34]*B[23];\
415   A[23] =  W[5]*B[18]  + W[11]*B[19] + W[17]*B[20]  + W[23]*B[21] + W[29]*B[22] + W[35]*B[23];\
416   A[24] =  W[0]*B[24]  + W[6]*B[25]  + W[12]*B[26]  + W[18]*B[27] + W[24]*B[28] + W[30]*B[29];\
417   A[25] =  W[1]*B[24]  + W[7]*B[25]  + W[13]*B[26]  + W[19]*B[27] + W[25]*B[28] + W[31]*B[29];\
418   A[26] =  W[2]*B[24]  + W[8]*B[25]  + W[14]*B[26]  + W[20]*B[27] + W[26]*B[28] + W[32]*B[29];\
419   A[27] =  W[3]*B[24]  + W[9]*B[25]  + W[15]*B[26]  + W[21]*B[27] + W[27]*B[28] + W[33]*B[29];\
420   A[28] =  W[4]*B[24]  + W[10]*B[25] + W[16]*B[26]  + W[22]*B[27] + W[28]*B[28] + W[34]*B[29];\
421   A[29] =  W[5]*B[24]  + W[11]*B[25] + W[17]*B[26]  + W[23]*B[27] + W[29]*B[28] + W[35]*B[29];\
422   A[30] =  W[0]*B[30]  + W[6]*B[31]  + W[12]*B[32]  + W[18]*B[33] + W[24]*B[34] + W[30]*B[35];\
423   A[31] =  W[1]*B[30]  + W[7]*B[31]  + W[13]*B[32]  + W[19]*B[33] + W[25]*B[34] + W[31]*B[35];\
424   A[32] =  W[2]*B[30]  + W[8]*B[31]  + W[14]*B[32]  + W[20]*B[33] + W[26]*B[34] + W[32]*B[35];\
425   A[33] =  W[3]*B[30]  + W[9]*B[31]  + W[15]*B[32]  + W[21]*B[33] + W[27]*B[34] + W[33]*B[35];\
426   A[34] =  W[4]*B[30]  + W[10]*B[31] + W[16]*B[32]  + W[22]*B[33] + W[28]*B[34] + W[34]*B[35];\
427   A[35] =  W[5]*B[30]  + W[11]*B[31] + W[17]*B[32]  + W[23]*B[33] + W[29]*B[34] + W[35]*B[35];\
428 }
429 
430 /*
431   Kernel_A_gets_A_minus_B_times_C_6: A = A - B * C with size bs=6
432 
433   Input Parameters:
434 +  A,B,C - square bs by bs arrays stored in column major order
435 
436   Output Parameter:
437 .  A = A - B*C
438 */
439 
440 #define Kernel_A_gets_A_minus_B_times_C_6(A,B,C) 0;\
441 {\
442   A[0]  -=  B[0]*C[0]   + B[6]*C[1]   + B[12]*C[2]   + B[18]*C[3]  + B[24]*C[4]  + B[30]*C[5];\
443   A[1]  -=  B[1]*C[0]   + B[7]*C[1]   + B[13]*C[2]   + B[19]*C[3]  + B[25]*C[4]  + B[31]*C[5];\
444   A[2]  -=  B[2]*C[0]   + B[8]*C[1]   + B[14]*C[2]   + B[20]*C[3]  + B[26]*C[4]  + B[32]*C[5];\
445   A[3]  -=  B[3]*C[0]   + B[9]*C[1]   + B[15]*C[2]   + B[21]*C[3]  + B[27]*C[4]  + B[33]*C[5];\
446   A[4]  -=  B[4]*C[0]   + B[10]*C[1]  + B[16]*C[2]   + B[22]*C[3]  + B[28]*C[4]  + B[34]*C[5];\
447   A[5]  -=  B[5]*C[0]   + B[11]*C[1]  + B[17]*C[2]   + B[23]*C[3]  + B[29]*C[4]  + B[35]*C[5];\
448   A[6]  -=  B[0]*C[6]   + B[6]*C[7]   + B[12]*C[8]   + B[18]*C[9]  + B[24]*C[10] + B[30]*C[11];\
449   A[7]  -=  B[1]*C[6]   + B[7]*C[7]   + B[13]*C[8]   + B[19]*C[9]  + B[25]*C[10] + B[31]*C[11];\
450   A[8]  -=  B[2]*C[6]   + B[8]*C[7]   + B[14]*C[8]   + B[20]*C[9]  + B[26]*C[10] + B[32]*C[11];\
451   A[9]  -=  B[3]*C[6]   + B[9]*C[7]   + B[15]*C[8]   + B[21]*C[9]  + B[27]*C[10] + B[33]*C[11];\
452   A[10] -=  B[4]*C[6]   + B[10]*C[7]  + B[16]*C[8]   + B[22]*C[9]  + B[28]*C[10] + B[34]*C[11];\
453   A[11] -=  B[5]*C[6]   + B[11]*C[7]  + B[17]*C[8]   + B[23]*C[9]  + B[29]*C[10] + B[35]*C[11];\
454   A[12] -=  B[0]*C[12]  + B[6]*C[13]  + B[12]*C[14]  + B[18]*C[15] + B[24]*C[16] + B[30]*C[17];\
455   A[13] -=  B[1]*C[12]  + B[7]*C[13]  + B[13]*C[14]  + B[19]*C[15] + B[25]*C[16] + B[31]*C[17];\
456   A[14] -=  B[2]*C[12]  + B[8]*C[13]  + B[14]*C[14]  + B[20]*C[15] + B[26]*C[16] + B[32]*C[17];\
457   A[15] -=  B[3]*C[12]  + B[9]*C[13]  + B[15]*C[14]  + B[21]*C[15] + B[27]*C[16] + B[33]*C[17];\
458   A[16] -=  B[4]*C[12]  + B[10]*C[13] + B[16]*C[14]  + B[22]*C[15] + B[28]*C[16] + B[34]*C[17];\
459   A[17] -=  B[5]*C[12]  + B[11]*C[13] + B[17]*C[14]  + B[23]*C[15] + B[29]*C[16] + B[35]*C[17];\
460   A[18] -=  B[0]*C[18]  + B[6]*C[19]  + B[12]*C[20]  + B[18]*C[21] + B[24]*C[22] + B[30]*C[23];\
461   A[19] -=  B[1]*C[18]  + B[7]*C[19]  + B[13]*C[20]  + B[19]*C[21] + B[25]*C[22] + B[31]*C[23];\
462   A[20] -=  B[2]*C[18]  + B[8]*C[19]  + B[14]*C[20]  + B[20]*C[21] + B[26]*C[22] + B[32]*C[23];\
463   A[21] -=  B[3]*C[18]  + B[9]*C[19]  + B[15]*C[20]  + B[21]*C[21] + B[27]*C[22] + B[33]*C[23];\
464   A[22] -=  B[4]*C[18]  + B[10]*C[19] + B[16]*C[20]  + B[22]*C[21] + B[28]*C[22] + B[34]*C[23];\
465   A[23] -=  B[5]*C[18]  + B[11]*C[19] + B[17]*C[20]  + B[23]*C[21] + B[29]*C[22] + B[35]*C[23];\
466   A[24] -=  B[0]*C[24]  + B[6]*C[25]  + B[12]*C[26]  + B[18]*C[27] + B[24]*C[28] + B[30]*C[29];\
467   A[25] -=  B[1]*C[24]  + B[7]*C[25]  + B[13]*C[26]  + B[19]*C[27] + B[25]*C[28] + B[31]*C[29];\
468   A[26] -=  B[2]*C[24]  + B[8]*C[25]  + B[14]*C[26]  + B[20]*C[27] + B[26]*C[28] + B[32]*C[29];\
469   A[27] -=  B[3]*C[24]  + B[9]*C[25]  + B[15]*C[26]  + B[21]*C[27] + B[27]*C[28] + B[33]*C[29];\
470   A[28] -=  B[4]*C[24]  + B[10]*C[25] + B[16]*C[26]  + B[22]*C[27] + B[28]*C[28] + B[34]*C[29];\
471   A[29] -=  B[5]*C[24]  + B[11]*C[25] + B[17]*C[26]  + B[23]*C[27] + B[29]*C[28] + B[35]*C[29];\
472   A[30] -=  B[0]*C[30]  + B[6]*C[31]  + B[12]*C[32]  + B[18]*C[33] + B[24]*C[34] + B[30]*C[35];\
473   A[31] -=  B[1]*C[30]  + B[7]*C[31]  + B[13]*C[32]  + B[19]*C[33] + B[25]*C[34] + B[31]*C[35];\
474   A[32] -=  B[2]*C[30]  + B[8]*C[31]  + B[14]*C[32]  + B[20]*C[33] + B[26]*C[34] + B[32]*C[35];\
475   A[33] -=  B[3]*C[30]  + B[9]*C[31]  + B[15]*C[32]  + B[21]*C[33] + B[27]*C[34] + B[33]*C[35];\
476   A[34] -=  B[4]*C[30]  + B[10]*C[31] + B[16]*C[32]  + B[22]*C[33] + B[28]*C[34] + B[34]*C[35];\
477   A[35] -=  B[5]*C[30]  + B[11]*C[31] + B[17]*C[32]  + B[23]*C[33] + B[29]*C[34] + B[35]*C[35];\
478 }
479 
480 #define Kernel_A_gets_A_times_B_7(A,B,W) 0;\
481 {\
482   PetscMemcpy(W,A,49*sizeof(MatScalar));\
483   A[0]  =  W[0]*B[0]   + W[7]*B[1]   + W[14]*B[2]   + W[21]*B[3]  + W[28]*B[4]  + W[35]*B[5]  + W[42]*B[6];\
484   A[1]  =  W[1]*B[0]   + W[8]*B[1]   + W[15]*B[2]   + W[22]*B[3]  + W[29]*B[4]  + W[36]*B[5]  + W[43]*B[6];\
485   A[2]  =  W[2]*B[0]   + W[9]*B[1]   + W[16]*B[2]   + W[23]*B[3]  + W[30]*B[4]  + W[37]*B[5]  + W[44]*B[6];\
486   A[3]  =  W[3]*B[0]   + W[10]*B[1]   + W[17]*B[2]   + W[24]*B[3]  + W[31]*B[4]  + W[38]*B[5]  + W[45]*B[6];\
487   A[4]  =  W[4]*B[0]   + W[11]*B[1]  + W[18]*B[2]   + W[25]*B[3]  + W[32]*B[4]  + W[39]*B[5]  + W[46]*B[6];\
488   A[5]  =  W[5]*B[0]   + W[12]*B[1]  + W[19]*B[2]   + W[26]*B[3]  + W[33]*B[4]  + W[40]*B[5]  + W[47]*B[6];\
489   A[6]  =  W[6]*B[0]   + W[13]*B[1]   + W[20]*B[2]   + W[27]*B[3]  + W[34]*B[4] + W[41]*B[5]  + W[48]*B[6];\
490   A[7]  =  W[0]*B[7]   + W[7]*B[8]   + W[14]*B[9]   + W[21]*B[10]  + W[28]*B[11]  + W[35]*B[12]  + W[42]*B[13];\
491   A[8]  =  W[1]*B[7]   + W[8]*B[8]   + W[15]*B[9]   + W[22]*B[10]  + W[29]*B[11]  + W[36]*B[12]  + W[43]*B[13];\
492   A[9]  =  W[2]*B[7]   + W[9]*B[8]   + W[16]*B[9]   + W[23]*B[10]  + W[30]*B[11]  + W[37]*B[12]  + W[44]*B[13];\
493   A[10]  =  W[3]*B[7]   + W[10]*B[8]   + W[17]*B[9]   + W[24]*B[10]  + W[31]*B[11]  + W[38]*B[12]  + W[45]*B[13];\
494   A[11]  =  W[4]*B[7]   + W[11]*B[8]  + W[18]*B[9]   + W[25]*B[10]  + W[32]*B[11]  + W[39]*B[12]  + W[46]*B[13];\
495   A[12]  =  W[5]*B[7]   + W[12]*B[8]  + W[19]*B[9]   + W[26]*B[10]  + W[33]*B[11]  + W[40]*B[12]  + W[47]*B[13];\
496   A[13]  =  W[6]*B[7]   + W[13]*B[8]   + W[20]*B[9]   + W[27]*B[10]  + W[34]*B[11] + W[41]*B[12]  + W[48]*B[13];\
497   A[14]  =  W[0]*B[14]   + W[7]*B[15]   + W[14]*B[16]   + W[21]*B[17]  + W[28]*B[18]  + W[35]*B[19]  + W[42]*B[20];\
498   A[15]  =  W[1]*B[14]   + W[8]*B[15]   + W[15]*B[16]   + W[22]*B[17]  + W[29]*B[18]  + W[36]*B[19]  + W[43]*B[20];\
499   A[16]  =  W[2]*B[14]   + W[9]*B[15]   + W[16]*B[16]   + W[23]*B[17]  + W[30]*B[18]  + W[37]*B[19]  + W[44]*B[20];\
500   A[17]  =  W[3]*B[14]   + W[10]*B[15]   + W[17]*B[16]   + W[24]*B[17]  + W[31]*B[18]  + W[38]*B[19]  + W[45]*B[20];\
501   A[18]  =  W[4]*B[14]   + W[11]*B[15]  + W[18]*B[16]   + W[25]*B[17]  + W[32]*B[18]  + W[39]*B[19]  + W[46]*B[20];\
502   A[19]  =  W[5]*B[14]   + W[12]*B[15]  + W[19]*B[16]   + W[26]*B[17]  + W[33]*B[18]  + W[40]*B[19]  + W[47]*B[20];\
503   A[20]  =  W[6]*B[14]   + W[13]*B[15]   + W[20]*B[16]   + W[27]*B[17]  + W[34]*B[18] + W[41]*B[19]  + W[48]*B[20];\
504   A[21]  =  W[0]*B[21]   + W[7]*B[22]   + W[14]*B[23]   + W[21]*B[24]  + W[28]*B[25]  + W[35]*B[26]  + W[42]*B[27];\
505   A[22]  =  W[1]*B[21]   + W[8]*B[22]   + W[15]*B[23]   + W[22]*B[24]  + W[29]*B[25]  + W[36]*B[26]  + W[43]*B[27];\
506   A[23]  =  W[2]*B[21]   + W[9]*B[22]   + W[16]*B[23]   + W[23]*B[24]  + W[30]*B[25]  + W[37]*B[26]  + W[44]*B[27];\
507   A[24]  =  W[3]*B[21]   + W[10]*B[22]   + W[17]*B[23]   + W[24]*B[24]  + W[31]*B[25]  + W[38]*B[26]  + W[45]*B[27];\
508   A[25]  =  W[4]*B[21]   + W[11]*B[22]  + W[18]*B[23]   + W[25]*B[24]  + W[32]*B[25]  + W[39]*B[26]  + W[46]*B[27];\
509   A[26]  =  W[5]*B[21]   + W[12]*B[22]  + W[19]*B[23]   + W[26]*B[24]  + W[33]*B[25]  + W[40]*B[26]  + W[47]*B[27];\
510   A[27]  =  W[6]*B[21]   + W[13]*B[22]   + W[20]*B[23]   + W[27]*B[24]  + W[34]*B[25] + W[41]*B[26]  + W[48]*B[27];\
511   A[28]  =  W[0]*B[28]   + W[7]*B[29]   + W[14]*B[30]   + W[21]*B[31]  + W[28]*B[32]  + W[35]*B[33]  + W[42]*B[34];\
512   A[29]  =  W[1]*B[28]   + W[8]*B[29]   + W[15]*B[30]   + W[22]*B[31]  + W[29]*B[32]  + W[36]*B[33]  + W[43]*B[34];\
513   A[30]  =  W[2]*B[28]   + W[9]*B[29]   + W[16]*B[30]   + W[23]*B[31]  + W[30]*B[32]  + W[37]*B[33]  + W[44]*B[34];\
514   A[31]  =  W[3]*B[28]   + W[10]*B[29]   + W[17]*B[30]   + W[24]*B[31]  + W[31]*B[32]  + W[38]*B[33]  + W[45]*B[34];\
515   A[32]  =  W[4]*B[28]   + W[11]*B[29]  + W[18]*B[30]   + W[25]*B[31]  + W[32]*B[32]  + W[39]*B[33]  + W[46]*B[34];\
516   A[33]  =  W[5]*B[28]   + W[12]*B[29]  + W[19]*B[30]   + W[26]*B[31]  + W[33]*B[32]  + W[40]*B[33]  + W[47]*B[34];\
517   A[34]  =  W[6]*B[28]   + W[13]*B[29]   + W[20]*B[30]   + W[27]*B[31]  + W[34]*B[32] + W[41]*B[33]  + W[48]*B[34];\
518   A[35]  =  W[0]*B[35]   + W[7]*B[36]   + W[14]*B[37]   + W[21]*B[38]  + W[28]*B[39]  + W[35]*B[40]  + W[42]*B[41];\
519   A[36]  =  W[1]*B[35]   + W[8]*B[36]   + W[15]*B[37]   + W[22]*B[38]  + W[29]*B[39]  + W[36]*B[40]  + W[43]*B[41];\
520   A[37]  =  W[2]*B[35]   + W[9]*B[36]   + W[16]*B[37]   + W[23]*B[38]  + W[30]*B[39]  + W[37]*B[40]  + W[44]*B[41];\
521   A[38]  =  W[3]*B[35]   + W[10]*B[36]   + W[17]*B[37]   + W[24]*B[38]  + W[31]*B[39]  + W[38]*B[40]  + W[45]*B[41];\
522   A[39]  =  W[4]*B[35]   + W[11]*B[36]  + W[18]*B[37]   + W[25]*B[38]  + W[32]*B[39]  + W[39]*B[40]  + W[46]*B[41];\
523   A[40]  =  W[5]*B[35]   + W[12]*B[36]  + W[19]*B[37]   + W[26]*B[38]  + W[33]*B[39]  + W[40]*B[40]  + W[47]*B[41];\
524   A[41]  =  W[6]*B[35]   + W[13]*B[36]   + W[20]*B[37]   + W[27]*B[38]  + W[34]*B[39] + W[41]*B[40]  + W[48]*B[41];\
525   A[42]  =  W[0]*B[42]   + W[7]*B[43]   + W[14]*B[44]   + W[21]*B[45]  + W[28]*B[46]  + W[35]*B[47]  + W[42]*B[48];\
526   A[43]  =  W[1]*B[42]   + W[8]*B[43]   + W[15]*B[44]   + W[22]*B[45]  + W[29]*B[46]  + W[36]*B[47]  + W[43]*B[48];\
527   A[44]  =  W[2]*B[42]   + W[9]*B[43]   + W[16]*B[44]   + W[23]*B[45]  + W[30]*B[46]  + W[37]*B[47]  + W[44]*B[48];\
528   A[45]  =  W[3]*B[42]   + W[10]*B[43]   + W[17]*B[44]   + W[24]*B[45]  + W[31]*B[46]  + W[38]*B[47]  + W[45]*B[48];\
529   A[46]  =  W[4]*B[42]   + W[11]*B[43]  + W[18]*B[44]   + W[25]*B[45]  + W[32]*B[46]  + W[39]*B[47]  + W[46]*B[48];\
530   A[47]  =  W[5]*B[42]   + W[12]*B[43]  + W[19]*B[44]   + W[26]*B[45]  + W[33]*B[46]  + W[40]*B[47]  + W[47]*B[48];\
531   A[48]  =  W[6]*B[42]   + W[13]*B[43]   + W[20]*B[44]   + W[27]*B[45]  + W[34]*B[46] + W[41]*B[47]  + W[48]*B[48];\
532 }
533 
534 /*
535   Kernel_A_gets_A_minus_B_times_C_7: A = A - B * C with size bs=7
536 
537   Input Parameters:
538 +  A,B,C - square bs by bs arrays stored in column major order
539 
540   Output Parameter:
541 .  A = A - B*C
542 */
543 
544 #define Kernel_A_gets_A_minus_B_times_C_7(A,B,C) 0;\
545 {\
546   A[0]  -=  B[0]*C[0]   + B[7]*C[1]   + B[14]*C[2]   + B[21]*C[3]  + B[28]*C[4]  + B[35]*C[5]  + B[42]*C[6];\
547   A[1]  -=  B[1]*C[0]   + B[8]*C[1]   + B[15]*C[2]   + B[22]*C[3]  + B[29]*C[4]  + B[36]*C[5]  + B[43]*C[6];\
548   A[2]  -=  B[2]*C[0]   + B[9]*C[1]   + B[16]*C[2]   + B[23]*C[3]  + B[30]*C[4]  + B[37]*C[5]  + B[44]*C[6];\
549   A[3]  -=  B[3]*C[0]   + B[10]*C[1]   + B[17]*C[2]   + B[24]*C[3]  + B[31]*C[4]  + B[38]*C[5]  + B[45]*C[6];\
550   A[4]  -=  B[4]*C[0]   + B[11]*C[1]  + B[18]*C[2]   + B[25]*C[3]  + B[32]*C[4]  + B[39]*C[5]  + B[46]*C[6];\
551   A[5]  -=  B[5]*C[0]   + B[12]*C[1]  + B[19]*C[2]   + B[26]*C[3]  + B[33]*C[4]  + B[40]*C[5]  + B[47]*C[6];\
552   A[6]  -=  B[6]*C[0]   + B[13]*C[1]   + B[20]*C[2]   + B[27]*C[3]  + B[34]*C[4] + B[41]*C[5]  + B[48]*C[6];\
553   A[7]  -=  B[0]*C[7]   + B[7]*C[8]   + B[14]*C[9]   + B[21]*C[10]  + B[28]*C[11]  + B[35]*C[12]  + B[42]*C[13];\
554   A[8]  -=  B[1]*C[7]   + B[8]*C[8]   + B[15]*C[9]   + B[22]*C[10]  + B[29]*C[11]  + B[36]*C[12]  + B[43]*C[13];\
555   A[9]  -=  B[2]*C[7]   + B[9]*C[8]   + B[16]*C[9]   + B[23]*C[10]  + B[30]*C[11]  + B[37]*C[12]  + B[44]*C[13];\
556   A[10]  -=  B[3]*C[7]   + B[10]*C[8]   + B[17]*C[9]   + B[24]*C[10]  + B[31]*C[11]  + B[38]*C[12]  + B[45]*C[13];\
557   A[11]  -=  B[4]*C[7]   + B[11]*C[8]  + B[18]*C[9]   + B[25]*C[10]  + B[32]*C[11]  + B[39]*C[12]  + B[46]*C[13];\
558   A[12]  -=  B[5]*C[7]   + B[12]*C[8]  + B[19]*C[9]   + B[26]*C[10]  + B[33]*C[11]  + B[40]*C[12]  + B[47]*C[13];\
559   A[13]  -=  B[6]*C[7]   + B[13]*C[8]   + B[20]*C[9]   + B[27]*C[10]  + B[34]*C[11] + B[41]*C[12]  + B[48]*C[13];\
560   A[14]  -=  B[0]*C[14]   + B[7]*C[15]   + B[14]*C[16]   + B[21]*C[17]  + B[28]*C[18]  + B[35]*C[19]  + B[42]*C[20];\
561   A[15]  -=  B[1]*C[14]   + B[8]*C[15]   + B[15]*C[16]   + B[22]*C[17]  + B[29]*C[18]  + B[36]*C[19]  + B[43]*C[20];\
562   A[16]  -=  B[2]*C[14]   + B[9]*C[15]   + B[16]*C[16]   + B[23]*C[17]  + B[30]*C[18]  + B[37]*C[19]  + B[44]*C[20];\
563   A[17]  -=  B[3]*C[14]   + B[10]*C[15]   + B[17]*C[16]   + B[24]*C[17]  + B[31]*C[18]  + B[38]*C[19]  + B[45]*C[20];\
564   A[18]  -=  B[4]*C[14]   + B[11]*C[15]  + B[18]*C[16]   + B[25]*C[17]  + B[32]*C[18]  + B[39]*C[19]  + B[46]*C[20];\
565   A[19]  -=  B[5]*C[14]   + B[12]*C[15]  + B[19]*C[16]   + B[26]*C[17]  + B[33]*C[18]  + B[40]*C[19]  + B[47]*C[20];\
566   A[20]  -=  B[6]*C[14]   + B[13]*C[15]   + B[20]*C[16]   + B[27]*C[17]  + B[34]*C[18] + B[41]*C[19]  + B[48]*C[20];\
567   A[21]  -=  B[0]*C[21]   + B[7]*C[22]   + B[14]*C[23]   + B[21]*C[24]  + B[28]*C[25]  + B[35]*C[26]  + B[42]*C[27];\
568   A[22]  -=  B[1]*C[21]   + B[8]*C[22]   + B[15]*C[23]   + B[22]*C[24]  + B[29]*C[25]  + B[36]*C[26]  + B[43]*C[27];\
569   A[23]  -=  B[2]*C[21]   + B[9]*C[22]   + B[16]*C[23]   + B[23]*C[24]  + B[30]*C[25]  + B[37]*C[26]  + B[44]*C[27];\
570   A[24]  -=  B[3]*C[21]   + B[10]*C[22]   + B[17]*C[23]   + B[24]*C[24]  + B[31]*C[25]  + B[38]*C[26]  + B[45]*C[27];\
571   A[25]  -=  B[4]*C[21]   + B[11]*C[22]  + B[18]*C[23]   + B[25]*C[24]  + B[32]*C[25]  + B[39]*C[26]  + B[46]*C[27];\
572   A[26]  -=  B[5]*C[21]   + B[12]*C[22]  + B[19]*C[23]   + B[26]*C[24]  + B[33]*C[25]  + B[40]*C[26]  + B[47]*C[27];\
573   A[27]  -=  B[6]*C[21]   + B[13]*C[22]   + B[20]*C[23]   + B[27]*C[24]  + B[34]*C[25] + B[41]*C[26]  + B[48]*C[27];\
574   A[28]  -=  B[0]*C[28]   + B[7]*C[29]   + B[14]*C[30]   + B[21]*C[31]  + B[28]*C[32]  + B[35]*C[33]  + B[42]*C[34];\
575   A[29]  -=  B[1]*C[28]   + B[8]*C[29]   + B[15]*C[30]   + B[22]*C[31]  + B[29]*C[32]  + B[36]*C[33]  + B[43]*C[34];\
576   A[30]  -=  B[2]*C[28]   + B[9]*C[29]   + B[16]*C[30]   + B[23]*C[31]  + B[30]*C[32]  + B[37]*C[33]  + B[44]*C[34];\
577   A[31]  -=  B[3]*C[28]   + B[10]*C[29]   + B[17]*C[30]   + B[24]*C[31]  + B[31]*C[32]  + B[38]*C[33]  + B[45]*C[34];\
578   A[32]  -=  B[4]*C[28]   + B[11]*C[29]  + B[18]*C[30]   + B[25]*C[31]  + B[32]*C[32]  + B[39]*C[33]  + B[46]*C[34];\
579   A[33]  -=  B[5]*C[28]   + B[12]*C[29]  + B[19]*C[30]   + B[26]*C[31]  + B[33]*C[32]  + B[40]*C[33]  + B[47]*C[34];\
580   A[34]  -=  B[6]*C[28]   + B[13]*C[29]   + B[20]*C[30]   + B[27]*C[31]  + B[34]*C[32] + B[41]*C[33]  + B[48]*C[34];\
581   A[35]  -=  B[0]*C[35]   + B[7]*C[36]   + B[14]*C[37]   + B[21]*C[38]  + B[28]*C[39]  + B[35]*C[40]  + B[42]*C[41];\
582   A[36]  -=  B[1]*C[35]   + B[8]*C[36]   + B[15]*C[37]   + B[22]*C[38]  + B[29]*C[39]  + B[36]*C[40]  + B[43]*C[41];\
583   A[37]  -=  B[2]*C[35]   + B[9]*C[36]   + B[16]*C[37]   + B[23]*C[38]  + B[30]*C[39]  + B[37]*C[40]  + B[44]*C[41];\
584   A[38]  -=  B[3]*C[35]   + B[10]*C[36]   + B[17]*C[37]   + B[24]*C[38]  + B[31]*C[39]  + B[38]*C[40]  + B[45]*C[41];\
585   A[39]  -=  B[4]*C[35]   + B[11]*C[36]  + B[18]*C[37]   + B[25]*C[38]  + B[32]*C[39]  + B[39]*C[40]  + B[46]*C[41];\
586   A[40]  -=  B[5]*C[35]   + B[12]*C[36]  + B[19]*C[37]   + B[26]*C[38]  + B[33]*C[39]  + B[40]*C[40]  + B[47]*C[41];\
587   A[41]  -=  B[6]*C[35]   + B[13]*C[36]   + B[20]*C[37]   + B[27]*C[38]  + B[34]*C[39] + B[41]*C[40]  + B[48]*C[41];\
588   A[42]  -=  B[0]*C[42]   + B[7]*C[43]   + B[14]*C[44]   + B[21]*C[45]  + B[28]*C[46]  + B[35]*C[47]  + B[42]*C[48];\
589   A[43]  -=  B[1]*C[42]   + B[8]*C[43]   + B[15]*C[44]   + B[22]*C[45]  + B[29]*C[46]  + B[36]*C[47]  + B[43]*C[48];\
590   A[44]  -=  B[2]*C[42]   + B[9]*C[43]   + B[16]*C[44]   + B[23]*C[45]  + B[30]*C[46]  + B[37]*C[47]  + B[44]*C[48];\
591   A[45]  -=  B[3]*C[42]   + B[10]*C[43]   + B[17]*C[44]   + B[24]*C[45]  + B[31]*C[46]  + B[38]*C[47]  + B[45]*C[48];\
592   A[46]  -=  B[4]*C[42]   + B[11]*C[43]  + B[18]*C[44]   + B[25]*C[45]  + B[32]*C[46]  + B[39]*C[47]  + B[46]*C[48];\
593   A[47]  -=  B[5]*C[42]   + B[12]*C[43]  + B[19]*C[44]   + B[26]*C[45]  + B[33]*C[46]  + B[40]*C[47]  + B[47]*C[48];\
594   A[48]  -=  B[6]*C[42]   + B[13]*C[43]   + B[20]*C[44]   + B[27]*C[45]  + B[34]*C[46] + B[41]*C[47]  + B[48]*C[48];\
595 }
596 
597 
598 #endif
599