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_inplace(Mat,Mat,IS,IS,const MatFactorInfo*); 36 EXTERN PetscErrorCode MatILUFactorSymbolic_SeqBAIJ(Mat,Mat,IS,IS,const MatFactorInfo*); 37 EXTERN PetscErrorCode MatICCFactorSymbolic_SeqBAIJ(Mat,Mat,IS,const MatFactorInfo*); 38 EXTERN PetscErrorCode MatCholeskyFactorSymbolic_SeqBAIJ(Mat,Mat,IS,const MatFactorInfo*); 39 EXTERN PetscErrorCode MatCholeskyFactorNumeric_SeqBAIJ_N(Mat,Mat,const MatFactorInfo*); 40 EXTERN PetscErrorCode MatCholeskyFactorNumeric_SeqBAIJ_N_NaturalOrdering(Mat,Mat,const MatFactorInfo*); 41 EXTERN PetscErrorCode MatDuplicate_SeqBAIJ(Mat,MatDuplicateOption,Mat*); 42 EXTERN PetscErrorCode MatMissingDiagonal_SeqBAIJ(Mat,PetscTruth*,PetscInt*); 43 EXTERN PetscErrorCode MatMarkDiagonal_SeqBAIJ(Mat); 44 EXTERN PetscErrorCode MatILUDTFactor_SeqBAIJ(Mat,IS,IS,const MatFactorInfo*,Mat*); 45 46 EXTERN PetscErrorCode MatLUFactorSymbolic_SeqBAIJ_inplace(Mat,Mat,IS,IS,const MatFactorInfo*); 47 EXTERN PetscErrorCode MatLUFactorSymbolic_SeqBAIJ(Mat,Mat,IS,IS,const MatFactorInfo*); 48 EXTERN PetscErrorCode MatLUFactor_SeqBAIJ(Mat,IS,IS,const MatFactorInfo*); 49 EXTERN PetscErrorCode MatIncreaseOverlap_SeqBAIJ(Mat,PetscInt,IS*,PetscInt); 50 EXTERN PetscErrorCode MatGetSubMatrix_SeqBAIJ(Mat,IS,IS,MatReuse,Mat*); 51 EXTERN PetscErrorCode MatGetSubMatrices_SeqBAIJ(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat*[]); 52 EXTERN PetscErrorCode MatMultTranspose_SeqBAIJ(Mat,Vec,Vec); 53 EXTERN PetscErrorCode MatMultHermitianTranspose_SeqBAIJ(Mat,Vec,Vec); 54 EXTERN PetscErrorCode MatMultTransposeAdd_SeqBAIJ(Mat,Vec,Vec,Vec); 55 EXTERN PetscErrorCode MatMultHermitianTransposeAdd_SeqBAIJ(Mat,Vec,Vec,Vec); 56 EXTERN PetscErrorCode MatScale_SeqBAIJ(Mat,PetscScalar); 57 EXTERN PetscErrorCode MatNorm_SeqBAIJ(Mat,NormType,PetscReal *); 58 EXTERN PetscErrorCode MatEqual_SeqBAIJ(Mat,Mat,PetscTruth*); 59 EXTERN PetscErrorCode MatGetDiagonal_SeqBAIJ(Mat,Vec); 60 EXTERN PetscErrorCode MatDiagonalScale_SeqBAIJ(Mat,Vec,Vec); 61 EXTERN PetscErrorCode MatGetInfo_SeqBAIJ(Mat,MatInfoType,MatInfo *); 62 EXTERN PetscErrorCode MatZeroEntries_SeqBAIJ(Mat); 63 64 EXTERN PetscErrorCode MatSeqBAIJ_UpdateFactorNumeric_NaturalOrdering(Mat); 65 66 EXTERN PetscErrorCode MatSolve_SeqBAIJ_1_inplace(Mat,Vec,Vec); 67 EXTERN PetscErrorCode MatSolve_SeqBAIJ_1_NaturalOrdering_inplace(Mat,Vec,Vec); 68 69 EXTERN PetscErrorCode MatSolve_SeqBAIJ_2_inplace(Mat,Vec,Vec); 70 EXTERN PetscErrorCode MatSolve_SeqBAIJ_2(Mat,Vec,Vec); 71 EXTERN PetscErrorCode MatSolve_SeqBAIJ_2_NaturalOrdering_inplace(Mat,Vec,Vec); 72 EXTERN PetscErrorCode MatSolve_SeqBAIJ_2_NaturalOrdering(Mat,Vec,Vec); 73 74 EXTERN PetscErrorCode MatSolve_SeqBAIJ_3_inplace(Mat,Vec,Vec); 75 EXTERN PetscErrorCode MatSolve_SeqBAIJ_3(Mat,Vec,Vec); 76 EXTERN PetscErrorCode MatSolve_SeqBAIJ_3_NaturalOrdering_inplace(Mat,Vec,Vec); 77 EXTERN PetscErrorCode MatSolve_SeqBAIJ_3_NaturalOrdering(Mat,Vec,Vec); 78 79 EXTERN PetscErrorCode MatSolve_SeqBAIJ_4_inplace(Mat,Vec,Vec); 80 EXTERN PetscErrorCode MatSolve_SeqBAIJ_4(Mat,Vec,Vec); 81 EXTERN PetscErrorCode MatSolve_SeqBAIJ_4_NaturalOrdering_inplace(Mat,Vec,Vec); 82 EXTERN PetscErrorCode MatSolve_SeqBAIJ_4_NaturalOrdering(Mat,Vec,Vec); 83 #if defined(PETSC_HAVE_SSE) 84 EXTERN PetscErrorCode MatSolve_SeqBAIJ_4_SSE_Demotion(Mat,Vec,Vec); 85 EXTERN PetscErrorCode MatSolve_SeqBAIJ_4_NaturalOrdering_SSE_Demotion(Mat,Vec,Vec); 86 EXTERN PetscErrorCode MatSolve_SeqBAIJ_4_NaturalOrdering_SSE_Demotion_usj(Mat,Vec,Vec); 87 #endif 88 EXTERN PetscErrorCode MatSolve_SeqBAIJ_5_inplace(Mat,Vec,Vec); 89 EXTERN PetscErrorCode MatSolve_SeqBAIJ_5(Mat,Vec,Vec); 90 EXTERN PetscErrorCode MatSolve_SeqBAIJ_5_NaturalOrdering_inplace(Mat,Vec,Vec); 91 EXTERN PetscErrorCode MatSolve_SeqBAIJ_5_NaturalOrdering(Mat,Vec,Vec); 92 93 EXTERN PetscErrorCode MatSolve_SeqBAIJ_6_inplace(Mat,Vec,Vec); 94 EXTERN PetscErrorCode MatSolve_SeqBAIJ_6(Mat,Vec,Vec); 95 EXTERN PetscErrorCode MatSolve_SeqBAIJ_6_NaturalOrdering_inplace(Mat,Vec,Vec); 96 EXTERN PetscErrorCode MatSolve_SeqBAIJ_6_NaturalOrdering(Mat,Vec,Vec); 97 98 EXTERN PetscErrorCode MatSolve_SeqBAIJ_7_inplace(Mat,Vec,Vec); 99 EXTERN PetscErrorCode MatSolve_SeqBAIJ_7(Mat,Vec,Vec); 100 EXTERN PetscErrorCode MatSolve_SeqBAIJ_7_NaturalOrdering_inplace(Mat,Vec,Vec); 101 EXTERN PetscErrorCode MatSolve_SeqBAIJ_7_NaturalOrdering(Mat,Vec,Vec); 102 103 EXTERN PetscErrorCode MatSolve_SeqBAIJ_15(Mat,Vec,Vec); 104 105 EXTERN PetscErrorCode MatSolve_SeqBAIJ_N_inplace(Mat,Vec,Vec); 106 EXTERN PetscErrorCode MatSolve_SeqBAIJ_N(Mat,Vec,Vec); 107 EXTERN PetscErrorCode MatSolve_SeqBAIJ_N_NaturalOrdering(Mat,Vec,Vec); 108 109 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_Update(Mat,Vec,Vec); 110 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_1_inplace(Mat,Vec,Vec); 111 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_1_NaturalOrdering_inplace(Mat,Vec,Vec); 112 113 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_2_inplace(Mat,Vec,Vec); 114 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_2(Mat,Vec,Vec); 115 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_2_NaturalOrdering_inplace(Mat,Vec,Vec); 116 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_2_NaturalOrdering(Mat,Vec,Vec); 117 118 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_3_inplace(Mat,Vec,Vec); 119 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_3(Mat,Vec,Vec); 120 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_3_NaturalOrdering_inplace(Mat,Vec,Vec); 121 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_3_NaturalOrdering(Mat,Vec,Vec); 122 123 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_4_inplace(Mat,Vec,Vec); 124 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_4(Mat,Vec,Vec); 125 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_4_NaturalOrdering_inplace(Mat,Vec,Vec); 126 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_4_NaturalOrdering(Mat,Vec,Vec); 127 128 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_5_inplace(Mat,Vec,Vec); 129 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_5(Mat,Vec,Vec); 130 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_5_NaturalOrdering_inplace(Mat,Vec,Vec); 131 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_5_NaturalOrdering(Mat,Vec,Vec); 132 133 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_6_inplace(Mat,Vec,Vec); 134 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_6(Mat,Vec,Vec); 135 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_6_NaturalOrdering_inplace(Mat,Vec,Vec); 136 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_6_NaturalOrdering(Mat,Vec,Vec); 137 138 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_7_inplace(Mat,Vec,Vec); 139 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_7(Mat,Vec,Vec); 140 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_7_NaturalOrdering_inplace(Mat,Vec,Vec); 141 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_7_NaturalOrdering(Mat,Vec,Vec); 142 143 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_N_inplace(Mat,Vec,Vec); 144 EXTERN PetscErrorCode MatSolveTranspose_SeqBAIJ_N(Mat,Vec,Vec); 145 146 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_N(Mat,Mat,const MatFactorInfo*); 147 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_1_inplace(Mat,Mat,const MatFactorInfo*); 148 149 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_2_inplace(Mat,Mat,const MatFactorInfo*); 150 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_2(Mat,Mat,const MatFactorInfo*); 151 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_2_NaturalOrdering_inplace(Mat,Mat,const MatFactorInfo*); 152 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_2_NaturalOrdering(Mat,Mat,const MatFactorInfo*); 153 154 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_3_inplace(Mat,Mat,const MatFactorInfo*); 155 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_3(Mat,Mat,const MatFactorInfo*); 156 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_3_NaturalOrdering_inplace(Mat,Mat,const MatFactorInfo*); 157 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_3_NaturalOrdering(Mat,Mat,const MatFactorInfo*); 158 159 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_4_inplace(Mat,Mat,const MatFactorInfo*); 160 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_4(Mat,Mat,const MatFactorInfo*); 161 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_4_NaturalOrdering_inplace(Mat,Mat,const MatFactorInfo*); 162 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_4_NaturalOrdering(Mat,Mat,const MatFactorInfo*); 163 #if defined(PETSC_HAVE_SSE) 164 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_4_NaturalOrdering_SSE(Mat,Mat,const MatFactorInfo*); 165 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_4_NaturalOrdering_SSE_usj(Mat,Mat,const MatFactorInfo*); 166 #else 167 #endif 168 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_5_inplace(Mat,Mat,const MatFactorInfo*); 169 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_5(Mat,Mat,const MatFactorInfo*); 170 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_5_NaturalOrdering_inplace(Mat,Mat,const MatFactorInfo*); 171 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_5_NaturalOrdering(Mat,Mat,const MatFactorInfo*); 172 173 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_inplace(Mat,Mat,const MatFactorInfo*); 174 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6(Mat,Mat,const MatFactorInfo*); 175 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering_inplace(Mat,Mat,const MatFactorInfo*); 176 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering(Mat,Mat,const MatFactorInfo*); 177 178 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7_inplace(Mat,Mat,const MatFactorInfo*); 179 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7(Mat,Mat,const MatFactorInfo*); 180 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering_inplace(Mat,Mat,const MatFactorInfo*); 181 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering(Mat,Mat,const MatFactorInfo*); 182 183 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_15(Mat,Mat,const MatFactorInfo*); 184 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_N_inplace(Mat,Mat,const MatFactorInfo*); 185 EXTERN PetscErrorCode MatLUFactorNumeric_SeqBAIJ_N(Mat,Mat,const MatFactorInfo*); 186 187 EXTERN PetscErrorCode MatMult_SeqBAIJ_1(Mat,Vec,Vec); 188 EXTERN PetscErrorCode MatMult_SeqBAIJ_2(Mat,Vec,Vec); 189 EXTERN PetscErrorCode MatMult_SeqBAIJ_3(Mat,Vec,Vec); 190 EXTERN PetscErrorCode MatMult_SeqBAIJ_4(Mat,Vec,Vec); 191 EXTERN PetscErrorCode MatMult_SeqBAIJ_5(Mat,Vec,Vec); 192 EXTERN PetscErrorCode MatMult_SeqBAIJ_6(Mat,Vec,Vec); 193 EXTERN PetscErrorCode MatMult_SeqBAIJ_7(Mat,Vec,Vec); 194 EXTERN PetscErrorCode MatMult_SeqBAIJ_N(Mat,Vec,Vec); 195 196 EXTERN PetscErrorCode MatMultAdd_SeqBAIJ_1(Mat,Vec,Vec,Vec); 197 EXTERN PetscErrorCode MatMultAdd_SeqBAIJ_2(Mat,Vec,Vec,Vec); 198 EXTERN PetscErrorCode MatMultAdd_SeqBAIJ_3(Mat,Vec,Vec,Vec); 199 EXTERN PetscErrorCode MatMultAdd_SeqBAIJ_4(Mat,Vec,Vec,Vec); 200 EXTERN PetscErrorCode MatMultAdd_SeqBAIJ_5(Mat,Vec,Vec,Vec); 201 EXTERN PetscErrorCode MatMultAdd_SeqBAIJ_6(Mat,Vec,Vec,Vec); 202 EXTERN PetscErrorCode MatMultAdd_SeqBAIJ_7(Mat,Vec,Vec,Vec); 203 EXTERN PetscErrorCode MatMultAdd_SeqBAIJ_N(Mat,Vec,Vec,Vec); 204 EXTERN PetscErrorCode MatLoad_SeqBAIJ(PetscViewer, const MatType,Mat*); 205 206 EXTERN PetscErrorCode MatSeqBAIJSetNumericFactorization_inplace(Mat,PetscTruth); 207 EXTERN PetscErrorCode MatSeqBAIJSetNumericFactorization(Mat,PetscTruth); 208 209 /* 210 Kernel_A_gets_A_times_B_2: A = A * B with size bs=2 211 212 Input Parameters: 213 + A,B - square bs by bs arrays stored in column major order 214 - W - bs*bs work arrary 215 216 Output Parameter: 217 . A = A * B 218 */ 219 220 #define Kernel_A_gets_A_times_B_2(A,B,W) 0;\ 221 {\ 222 PetscMemcpy(W,A,4*sizeof(MatScalar));\ 223 A[0] = W[0]*B[0] + W[2]*B[1];\ 224 A[1] = W[1]*B[0] + W[3]*B[1];\ 225 A[2] = W[0]*B[2] + W[2]*B[3];\ 226 A[3] = W[1]*B[2] + W[3]*B[3];\ 227 } 228 229 /* 230 Kernel_A_gets_A_minus_B_times_C_2: A = A - B * C with size bs=2 231 232 Input Parameters: 233 + A,B,C - square bs by bs arrays stored in column major order 234 235 Output Parameter: 236 . A = A - B*C 237 */ 238 239 #define Kernel_A_gets_A_minus_B_times_C_2(A,B,C) 0;\ 240 {\ 241 A[0] -= B[0]*C[0] + B[2]*C[1];\ 242 A[1] -= B[1]*C[0] + B[3]*C[1];\ 243 A[2] -= B[0]*C[2] + B[2]*C[3];\ 244 A[3] -= B[1]*C[2] + B[3]*C[3];\ 245 } 246 247 /* 248 Kernel_A_gets_A_times_B_3: A = A * B with size bs=3 249 250 Input Parameters: 251 + A,B - square bs by bs arrays stored in column major order 252 - W - bs*bs work arrary 253 254 Output Parameter: 255 . A = A * B 256 */ 257 258 #define Kernel_A_gets_A_times_B_3(A,B,W) 0;\ 259 {\ 260 PetscMemcpy(W,A,9*sizeof(MatScalar));\ 261 A[0] = W[0]*B[0] + W[3]*B[1] + W[6]*B[2];\ 262 A[1] = W[1]*B[0] + W[4]*B[1] + W[7]*B[2];\ 263 A[2] = W[2]*B[0] + W[5]*B[1] + W[8]*B[2];\ 264 A[3] = W[0]*B[3] + W[3]*B[4] + W[6]*B[5];\ 265 A[4] = W[1]*B[3] + W[4]*B[4] + W[7]*B[5];\ 266 A[5] = W[2]*B[3] + W[5]*B[4] + W[8]*B[5];\ 267 A[6] = W[0]*B[6] + W[3]*B[7] + W[6]*B[8];\ 268 A[7] = W[1]*B[6] + W[4]*B[7] + W[7]*B[8];\ 269 A[8] = W[2]*B[6] + W[5]*B[7] + W[8]*B[8];\ 270 } 271 272 /* 273 Kernel_A_gets_A_minus_B_times_C_3: A = A - B * C with size bs=3 274 275 Input Parameters: 276 + A,B,C - square bs by bs arrays stored in column major order 277 278 Output Parameter: 279 . A = A - B*C 280 */ 281 282 #define Kernel_A_gets_A_minus_B_times_C_3(A,B,C) 0;\ 283 {\ 284 A[0] -= B[0]*C[0] + B[3]*C[1] + B[6]*C[2];\ 285 A[1] -= B[1]*C[0] + B[4]*C[1] + B[7]*C[2];\ 286 A[2] -= B[2]*C[0] + B[5]*C[1] + B[8]*C[2];\ 287 A[3] -= B[0]*C[3] + B[3]*C[4] + B[6]*C[5];\ 288 A[4] -= B[1]*C[3] + B[4]*C[4] + B[7]*C[5];\ 289 A[5] -= B[2]*C[3] + B[5]*C[4] + B[8]*C[5];\ 290 A[6] -= B[0]*C[6] + B[3]*C[7] + B[6]*C[8];\ 291 A[7] -= B[1]*C[6] + B[4]*C[7] + B[7]*C[8];\ 292 A[8] -= B[2]*C[6] + B[5]*C[7] + B[8]*C[8];\ 293 } 294 295 /* 296 Kernel_A_gets_A_times_B_4: A = A * B with size bs=4 297 298 Input Parameters: 299 + A,B - square bs by bs arrays stored in column major order 300 - W - bs*bs work arrary 301 302 Output Parameter: 303 . A = A * B 304 */ 305 306 #define Kernel_A_gets_A_times_B_4(A,B,W) 0;\ 307 {\ 308 PetscMemcpy(W,A,16*sizeof(MatScalar));\ 309 A[0] = W[0]*B[0] + W[4]*B[1] + W[8]*B[2] + W[12]*B[3];\ 310 A[1] = W[1]*B[0] + W[5]*B[1] + W[9]*B[2] + W[13]*B[3];\ 311 A[2] = W[2]*B[0] + W[6]*B[1] + W[10]*B[2] + W[14]*B[3];\ 312 A[3] = W[3]*B[0] + W[7]*B[1] + W[11]*B[2] + W[15]*B[3];\ 313 A[4] = W[0]*B[4] + W[4]*B[5] + W[8]*B[6] + W[12]*B[7];\ 314 A[5] = W[1]*B[4] + W[5]*B[5] + W[9]*B[6] + W[13]*B[7];\ 315 A[6] = W[2]*B[4] + W[6]*B[5] + W[10]*B[6] + W[14]*B[7];\ 316 A[7] = W[3]*B[4] + W[7]*B[5] + W[11]*B[6] + W[15]*B[7];\ 317 A[8] = W[0]*B[8] + W[4]*B[9] + W[8]*B[10] + W[12]*B[11];\ 318 A[9] = W[1]*B[8] + W[5]*B[9] + W[9]*B[10] + W[13]*B[11];\ 319 A[10] = W[2]*B[8] + W[6]*B[9] + W[10]*B[10] + W[14]*B[11];\ 320 A[11] = W[3]*B[8] + W[7]*B[9] + W[11]*B[10] + W[15]*B[11];\ 321 A[12] = W[0]*B[12] + W[4]*B[13] + W[8]*B[14] + W[12]*B[15];\ 322 A[13] = W[1]*B[12] + W[5]*B[13] + W[9]*B[14] + W[13]*B[15];\ 323 A[14] = W[2]*B[12] + W[6]*B[13] + W[10]*B[14] + W[14]*B[15];\ 324 A[15] = W[3]*B[12] + W[7]*B[13] + W[11]*B[14] + W[15]*B[15];\ 325 } 326 327 /* 328 Kernel_A_gets_A_minus_B_times_C_4: A = A - B * C with size bs=4 329 330 Input Parameters: 331 + A,B,C - square bs by bs arrays stored in column major order 332 333 Output Parameter: 334 . A = A - B*C 335 */ 336 337 #define Kernel_A_gets_A_minus_B_times_C_4(A,B,C) 0;\ 338 {\ 339 A[0] -= B[0]*C[0] + B[4]*C[1] + B[8]*C[2] + B[12]*C[3];\ 340 A[1] -= B[1]*C[0] + B[5]*C[1] + B[9]*C[2] + B[13]*C[3];\ 341 A[2] -= B[2]*C[0] + B[6]*C[1] + B[10]*C[2] + B[14]*C[3];\ 342 A[3] -= B[3]*C[0] + B[7]*C[1] + B[11]*C[2] + B[15]*C[3];\ 343 A[4] -= B[0]*C[4] + B[4]*C[5] + B[8]*C[6] + B[12]*C[7];\ 344 A[5] -= B[1]*C[4] + B[5]*C[5] + B[9]*C[6] + B[13]*C[7];\ 345 A[6] -= B[2]*C[4] + B[6]*C[5] + B[10]*C[6] + B[14]*C[7];\ 346 A[7] -= B[3]*C[4] + B[7]*C[5] + B[11]*C[6] + B[15]*C[7];\ 347 A[8] -= B[0]*C[8] + B[4]*C[9] + B[8]*C[10] + B[12]*C[11];\ 348 A[9] -= B[1]*C[8] + B[5]*C[9] + B[9]*C[10] + B[13]*C[11];\ 349 A[10] -= B[2]*C[8] + B[6]*C[9] + B[10]*C[10] + B[14]*C[11];\ 350 A[11] -= B[3]*C[8] + B[7]*C[9] + B[11]*C[10] + B[15]*C[11];\ 351 A[12] -= B[0]*C[12] + B[4]*C[13] + B[8]*C[14] + B[12]*C[15];\ 352 A[13] -= B[1]*C[12] + B[5]*C[13] + B[9]*C[14] + B[13]*C[15];\ 353 A[14] -= B[2]*C[12] + B[6]*C[13] + B[10]*C[14] + B[14]*C[15];\ 354 A[15] -= B[3]*C[12] + B[7]*C[13] + B[11]*C[14] + B[15]*C[15];\ 355 } 356 357 #define Kernel_A_gets_A_times_B_5(A,B,W) 0;\ 358 {\ 359 PetscMemcpy(W,A,25*sizeof(MatScalar));\ 360 A[0] = W[0]*B[0] + W[5]*B[1] + W[10]*B[2] + W[15]*B[3] + W[20]*B[4];\ 361 A[1] = W[1]*B[0] + W[6]*B[1] + W[11]*B[2] + W[16]*B[3] + W[21]*B[4];\ 362 A[2] = W[2]*B[0] + W[7]*B[1] + W[12]*B[2] + W[17]*B[3] + W[22]*B[4];\ 363 A[3] = W[3]*B[0] + W[8]*B[1] + W[13]*B[2] + W[18]*B[3] + W[23]*B[4];\ 364 A[4] = W[4]*B[0] + W[9]*B[1] + W[14]*B[2] + W[19]*B[3] + W[24]*B[4];\ 365 A[5] = W[0]*B[5] + W[5]*B[6] + W[10]*B[7] + W[15]*B[8] + W[20]*B[9];\ 366 A[6] = W[1]*B[5] + W[6]*B[6] + W[11]*B[7] + W[16]*B[8] + W[21]*B[9];\ 367 A[7] = W[2]*B[5] + W[7]*B[6] + W[12]*B[7] + W[17]*B[8] + W[22]*B[9];\ 368 A[8] = W[3]*B[5] + W[8]*B[6] + W[13]*B[7] + W[18]*B[8] + W[23]*B[9];\ 369 A[9] = W[4]*B[5] + W[9]*B[6] + W[14]*B[7] + W[19]*B[8] + W[24]*B[9];\ 370 A[10] = W[0]*B[10] + W[5]*B[11] + W[10]*B[12] + W[15]*B[13] + W[20]*B[14];\ 371 A[11] = W[1]*B[10] + W[6]*B[11] + W[11]*B[12] + W[16]*B[13] + W[21]*B[14];\ 372 A[12] = W[2]*B[10] + W[7]*B[11] + W[12]*B[12] + W[17]*B[13] + W[22]*B[14];\ 373 A[13] = W[3]*B[10] + W[8]*B[11] + W[13]*B[12] + W[18]*B[13] + W[23]*B[14];\ 374 A[14] = W[4]*B[10] + W[9]*B[11] + W[14]*B[12] + W[19]*B[13] + W[24]*B[14];\ 375 A[15] = W[0]*B[15] + W[5]*B[16] + W[10]*B[17] + W[15]*B[18] + W[20]*B[19];\ 376 A[16] = W[1]*B[15] + W[6]*B[16] + W[11]*B[17] + W[16]*B[18] + W[21]*B[19];\ 377 A[17] = W[2]*B[15] + W[7]*B[16] + W[12]*B[17] + W[17]*B[18] + W[22]*B[19];\ 378 A[18] = W[3]*B[15] + W[8]*B[16] + W[13]*B[17] + W[18]*B[18] + W[23]*B[19];\ 379 A[19] = W[4]*B[15] + W[9]*B[16] + W[14]*B[17] + W[19]*B[18] + W[24]*B[19];\ 380 A[20] = W[0]*B[20] + W[5]*B[21] + W[10]*B[22] + W[15]*B[23] + W[20]*B[24];\ 381 A[21] = W[1]*B[20] + W[6]*B[21] + W[11]*B[22] + W[16]*B[23] + W[21]*B[24];\ 382 A[22] = W[2]*B[20] + W[7]*B[21] + W[12]*B[22] + W[17]*B[23] + W[22]*B[24];\ 383 A[23] = W[3]*B[20] + W[8]*B[21] + W[13]*B[22] + W[18]*B[23] + W[23]*B[24];\ 384 A[24] = W[4]*B[20] + W[9]*B[21] + W[14]*B[22] + W[19]*B[23] + W[24]*B[24];\ 385 } 386 387 /* 388 Kernel_A_gets_A_minus_B_times_C_5: A = A - B * C with size bs=5 389 390 Input Parameters: 391 + A,B,C - square bs by bs arrays stored in column major order 392 393 Output Parameter: 394 . A = A - B*C 395 */ 396 397 #define Kernel_A_gets_A_minus_B_times_C_5(A,B,C) 0;\ 398 {\ 399 A[0] -= B[0]*C[0] + B[5]*C[1] + B[10]*C[2] + B[15]*C[3] + B[20]*C[4];\ 400 A[1] -= B[1]*C[0] + B[6]*C[1] + B[11]*C[2] + B[16]*C[3] + B[21]*C[4];\ 401 A[2] -= B[2]*C[0] + B[7]*C[1] + B[12]*C[2] + B[17]*C[3] + B[22]*C[4];\ 402 A[3] -= B[3]*C[0] + B[8]*C[1] + B[13]*C[2] + B[18]*C[3] + B[23]*C[4];\ 403 A[4] -= B[4]*C[0] + B[9]*C[1] + B[14]*C[2] + B[19]*C[3] + B[24]*C[4];\ 404 A[5] -= B[0]*C[5] + B[5]*C[6] + B[10]*C[7] + B[15]*C[8] + B[20]*C[9];\ 405 A[6] -= B[1]*C[5] + B[6]*C[6] + B[11]*C[7] + B[16]*C[8] + B[21]*C[9];\ 406 A[7] -= B[2]*C[5] + B[7]*C[6] + B[12]*C[7] + B[17]*C[8] + B[22]*C[9];\ 407 A[8] -= B[3]*C[5] + B[8]*C[6] + B[13]*C[7] + B[18]*C[8] + B[23]*C[9];\ 408 A[9] -= B[4]*C[5] + B[9]*C[6] + B[14]*C[7] + B[19]*C[8] + B[24]*C[9];\ 409 A[10] -= B[0]*C[10] + B[5]*C[11] + B[10]*C[12] + B[15]*C[13] + B[20]*C[14];\ 410 A[11] -= B[1]*C[10] + B[6]*C[11] + B[11]*C[12] + B[16]*C[13] + B[21]*C[14];\ 411 A[12] -= B[2]*C[10] + B[7]*C[11] + B[12]*C[12] + B[17]*C[13] + B[22]*C[14];\ 412 A[13] -= B[3]*C[10] + B[8]*C[11] + B[13]*C[12] + B[18]*C[13] + B[23]*C[14];\ 413 A[14] -= B[4]*C[10] + B[9]*C[11] + B[14]*C[12] + B[19]*C[13] + B[24]*C[14];\ 414 A[15] -= B[0]*C[15] + B[5]*C[16] + B[10]*C[17] + B[15]*C[18] + B[20]*C[19];\ 415 A[16] -= B[1]*C[15] + B[6]*C[16] + B[11]*C[17] + B[16]*C[18] + B[21]*C[19];\ 416 A[17] -= B[2]*C[15] + B[7]*C[16] + B[12]*C[17] + B[17]*C[18] + B[22]*C[19];\ 417 A[18] -= B[3]*C[15] + B[8]*C[16] + B[13]*C[17] + B[18]*C[18] + B[23]*C[19];\ 418 A[19] -= B[4]*C[15] + B[9]*C[16] + B[14]*C[17] + B[19]*C[18] + B[24]*C[19];\ 419 A[20] -= B[0]*C[20] + B[5]*C[21] + B[10]*C[22] + B[15]*C[23] + B[20]*C[24];\ 420 A[21] -= B[1]*C[20] + B[6]*C[21] + B[11]*C[22] + B[16]*C[23] + B[21]*C[24];\ 421 A[22] -= B[2]*C[20] + B[7]*C[21] + B[12]*C[22] + B[17]*C[23] + B[22]*C[24];\ 422 A[23] -= B[3]*C[20] + B[8]*C[21] + B[13]*C[22] + B[18]*C[23] + B[23]*C[24];\ 423 A[24] -= B[4]*C[20] + B[9]*C[21] + B[14]*C[22] + B[19]*C[23] + B[24]*C[24];\ 424 } 425 426 #define Kernel_A_gets_A_times_B_6(A,B,W) 0;\ 427 {\ 428 PetscMemcpy(W,A,36*sizeof(MatScalar));\ 429 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];\ 430 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];\ 431 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];\ 432 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];\ 433 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];\ 434 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];\ 435 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];\ 436 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];\ 437 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];\ 438 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];\ 439 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];\ 440 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];\ 441 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];\ 442 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];\ 443 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];\ 444 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];\ 445 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];\ 446 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];\ 447 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];\ 448 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];\ 449 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];\ 450 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];\ 451 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];\ 452 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];\ 453 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];\ 454 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];\ 455 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];\ 456 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];\ 457 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];\ 458 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];\ 459 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];\ 460 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];\ 461 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];\ 462 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];\ 463 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];\ 464 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];\ 465 } 466 467 /* 468 Kernel_A_gets_A_minus_B_times_C_6: A = A - B * C with size bs=6 469 470 Input Parameters: 471 + A,B,C - square bs by bs arrays stored in column major order 472 473 Output Parameter: 474 . A = A - B*C 475 */ 476 477 #define Kernel_A_gets_A_minus_B_times_C_6(A,B,C) 0;\ 478 {\ 479 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];\ 480 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];\ 481 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];\ 482 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];\ 483 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];\ 484 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];\ 485 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];\ 486 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];\ 487 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];\ 488 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];\ 489 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];\ 490 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];\ 491 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];\ 492 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];\ 493 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];\ 494 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];\ 495 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];\ 496 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];\ 497 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];\ 498 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];\ 499 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];\ 500 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];\ 501 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];\ 502 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];\ 503 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];\ 504 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];\ 505 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];\ 506 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];\ 507 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];\ 508 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];\ 509 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];\ 510 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];\ 511 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];\ 512 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];\ 513 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];\ 514 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];\ 515 } 516 517 #define Kernel_A_gets_A_times_B_7(A,B,W) 0;\ 518 {\ 519 PetscMemcpy(W,A,49*sizeof(MatScalar));\ 520 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];\ 521 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];\ 522 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];\ 523 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];\ 524 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];\ 525 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];\ 526 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];\ 527 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];\ 528 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];\ 529 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];\ 530 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];\ 531 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];\ 532 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];\ 533 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];\ 534 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];\ 535 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];\ 536 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];\ 537 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];\ 538 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];\ 539 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];\ 540 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];\ 541 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];\ 542 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];\ 543 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];\ 544 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];\ 545 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];\ 546 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];\ 547 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];\ 548 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];\ 549 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];\ 550 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];\ 551 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];\ 552 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];\ 553 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];\ 554 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];\ 555 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];\ 556 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];\ 557 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];\ 558 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];\ 559 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];\ 560 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];\ 561 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];\ 562 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];\ 563 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];\ 564 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];\ 565 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];\ 566 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];\ 567 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];\ 568 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];\ 569 } 570 571 /* 572 Kernel_A_gets_A_minus_B_times_C_7: A = A - B * C with size bs=7 573 574 Input Parameters: 575 + A,B,C - square bs by bs arrays stored in column major order 576 577 Output Parameter: 578 . A = A - B*C 579 */ 580 581 #define Kernel_A_gets_A_minus_B_times_C_7(A,B,C) 0;\ 582 {\ 583 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];\ 584 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];\ 585 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];\ 586 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];\ 587 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];\ 588 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];\ 589 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];\ 590 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];\ 591 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];\ 592 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];\ 593 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];\ 594 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];\ 595 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];\ 596 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];\ 597 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];\ 598 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];\ 599 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];\ 600 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];\ 601 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];\ 602 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];\ 603 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];\ 604 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];\ 605 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];\ 606 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];\ 607 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];\ 608 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];\ 609 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];\ 610 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];\ 611 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];\ 612 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];\ 613 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];\ 614 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];\ 615 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];\ 616 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];\ 617 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];\ 618 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];\ 619 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];\ 620 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];\ 621 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];\ 622 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];\ 623 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];\ 624 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];\ 625 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];\ 626 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];\ 627 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];\ 628 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];\ 629 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];\ 630 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];\ 631 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];\ 632 } 633 634 #define Kernel_A_gets_A_times_B_15(A,B,W) 0;\ 635 { \ 636 PetscInt __i,__j,__k; \ 637 PetscMemcpy(W,A,225*sizeof(MatScalar)); \ 638 for(__i=0;__i<15;__i++){ \ 639 for(__j=0;__j<15;__j++) { \ 640 for(__k=0;__k<15;__k++) A[15*__i+__j] += W[15*__k+__j]*B[15*__i+k];}};\ 641 } 642 643 /* 644 Kernel_A_gets_A_minus_B_times_C_15: A = A - B * C with size bs=15 645 646 Input Parameters: 647 + A,B,C - square bs by bs arrays stored in column major order 648 649 Output Parameter: 650 . A = A - B*C 651 */ 652 653 #define Kernel_A_gets_A_minus_B_times_C_15(A,B,C) 0;\ 654 { \ 655 PetscInt __i,__j,__k; \ 656 for(__i=0;__i<15;__i++){\ 657 for(__j=0;__j<15;__j++){\ 658 for(__k=0;__k<15;__k++) A[15*__i+__j] -= B[15*__k+__j]*C[15*__i+__k];}}\ 659 } 660 661 #endif 662