1 /* 2 Factorization code for BAIJ format. 3 */ 4 #include <../src/mat/impls/baij/seq/baij.h> 5 #include <petsc/private/kernels/blockinvert.h> 6 7 /* 8 Version for when blocks are 6 by 6 9 */ 10 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_inplace(Mat C, Mat A, const MatFactorInfo *info) 11 { 12 Mat_SeqBAIJ *a = (Mat_SeqBAIJ *)A->data, *b = (Mat_SeqBAIJ *)C->data; 13 IS isrow = b->row, isicol = b->icol; 14 const PetscInt *ajtmpold, *ajtmp, *diag_offset = b->diag, *r, *ic, *bi = b->i, *bj = b->j, *ai = a->i, *aj = a->j, *pj; 15 PetscInt nz, row, i, j, n = a->mbs, idx; 16 MatScalar *pv, *v, *rtmp, *pc, *w, *x; 17 MatScalar p1, p2, p3, p4, m1, m2, m3, m4, m5, m6, m7, m8, m9, x1, x2, x3, x4; 18 MatScalar p5, p6, p7, p8, p9, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16; 19 MatScalar x17, x18, x19, x20, x21, x22, x23, x24, x25, p10, p11, p12, p13, p14; 20 MatScalar p15, p16, p17, p18, p19, p20, p21, p22, p23, p24, p25, m10, m11, m12; 21 MatScalar m13, m14, m15, m16, m17, m18, m19, m20, m21, m22, m23, m24, m25; 22 MatScalar p26, p27, p28, p29, p30, p31, p32, p33, p34, p35, p36; 23 MatScalar x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x36; 24 MatScalar m26, m27, m28, m29, m30, m31, m32, m33, m34, m35, m36; 25 MatScalar *ba = b->a, *aa = a->a; 26 PetscReal shift = info->shiftamount; 27 PetscBool allowzeropivot, zeropivotdetected; 28 29 PetscFunctionBegin; 30 allowzeropivot = PetscNot(A->erroriffailure); 31 PetscCall(ISGetIndices(isrow, &r)); 32 PetscCall(ISGetIndices(isicol, &ic)); 33 PetscCall(PetscMalloc1(36 * (n + 1), &rtmp)); 34 35 for (i = 0; i < n; i++) { 36 nz = bi[i + 1] - bi[i]; 37 ajtmp = bj + bi[i]; 38 for (j = 0; j < nz; j++) { 39 x = rtmp + 36 * ajtmp[j]; 40 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 41 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 42 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0; 43 x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0; 44 x[34] = x[35] = 0.0; 45 } 46 /* load in initial (unfactored row) */ 47 idx = r[i]; 48 nz = ai[idx + 1] - ai[idx]; 49 ajtmpold = aj + ai[idx]; 50 v = aa + 36 * ai[idx]; 51 for (j = 0; j < nz; j++) { 52 x = rtmp + 36 * ic[ajtmpold[j]]; 53 x[0] = v[0]; 54 x[1] = v[1]; 55 x[2] = v[2]; 56 x[3] = v[3]; 57 x[4] = v[4]; 58 x[5] = v[5]; 59 x[6] = v[6]; 60 x[7] = v[7]; 61 x[8] = v[8]; 62 x[9] = v[9]; 63 x[10] = v[10]; 64 x[11] = v[11]; 65 x[12] = v[12]; 66 x[13] = v[13]; 67 x[14] = v[14]; 68 x[15] = v[15]; 69 x[16] = v[16]; 70 x[17] = v[17]; 71 x[18] = v[18]; 72 x[19] = v[19]; 73 x[20] = v[20]; 74 x[21] = v[21]; 75 x[22] = v[22]; 76 x[23] = v[23]; 77 x[24] = v[24]; 78 x[25] = v[25]; 79 x[26] = v[26]; 80 x[27] = v[27]; 81 x[28] = v[28]; 82 x[29] = v[29]; 83 x[30] = v[30]; 84 x[31] = v[31]; 85 x[32] = v[32]; 86 x[33] = v[33]; 87 x[34] = v[34]; 88 x[35] = v[35]; 89 v += 36; 90 } 91 row = *ajtmp++; 92 while (row < i) { 93 pc = rtmp + 36 * row; 94 p1 = pc[0]; 95 p2 = pc[1]; 96 p3 = pc[2]; 97 p4 = pc[3]; 98 p5 = pc[4]; 99 p6 = pc[5]; 100 p7 = pc[6]; 101 p8 = pc[7]; 102 p9 = pc[8]; 103 p10 = pc[9]; 104 p11 = pc[10]; 105 p12 = pc[11]; 106 p13 = pc[12]; 107 p14 = pc[13]; 108 p15 = pc[14]; 109 p16 = pc[15]; 110 p17 = pc[16]; 111 p18 = pc[17]; 112 p19 = pc[18]; 113 p20 = pc[19]; 114 p21 = pc[20]; 115 p22 = pc[21]; 116 p23 = pc[22]; 117 p24 = pc[23]; 118 p25 = pc[24]; 119 p26 = pc[25]; 120 p27 = pc[26]; 121 p28 = pc[27]; 122 p29 = pc[28]; 123 p30 = pc[29]; 124 p31 = pc[30]; 125 p32 = pc[31]; 126 p33 = pc[32]; 127 p34 = pc[33]; 128 p35 = pc[34]; 129 p36 = pc[35]; 130 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0) { 131 pv = ba + 36 * diag_offset[row]; 132 pj = bj + diag_offset[row] + 1; 133 x1 = pv[0]; 134 x2 = pv[1]; 135 x3 = pv[2]; 136 x4 = pv[3]; 137 x5 = pv[4]; 138 x6 = pv[5]; 139 x7 = pv[6]; 140 x8 = pv[7]; 141 x9 = pv[8]; 142 x10 = pv[9]; 143 x11 = pv[10]; 144 x12 = pv[11]; 145 x13 = pv[12]; 146 x14 = pv[13]; 147 x15 = pv[14]; 148 x16 = pv[15]; 149 x17 = pv[16]; 150 x18 = pv[17]; 151 x19 = pv[18]; 152 x20 = pv[19]; 153 x21 = pv[20]; 154 x22 = pv[21]; 155 x23 = pv[22]; 156 x24 = pv[23]; 157 x25 = pv[24]; 158 x26 = pv[25]; 159 x27 = pv[26]; 160 x28 = pv[27]; 161 x29 = pv[28]; 162 x30 = pv[29]; 163 x31 = pv[30]; 164 x32 = pv[31]; 165 x33 = pv[32]; 166 x34 = pv[33]; 167 x35 = pv[34]; 168 x36 = pv[35]; 169 pc[0] = m1 = p1 * x1 + p7 * x2 + p13 * x3 + p19 * x4 + p25 * x5 + p31 * x6; 170 pc[1] = m2 = p2 * x1 + p8 * x2 + p14 * x3 + p20 * x4 + p26 * x5 + p32 * x6; 171 pc[2] = m3 = p3 * x1 + p9 * x2 + p15 * x3 + p21 * x4 + p27 * x5 + p33 * x6; 172 pc[3] = m4 = p4 * x1 + p10 * x2 + p16 * x3 + p22 * x4 + p28 * x5 + p34 * x6; 173 pc[4] = m5 = p5 * x1 + p11 * x2 + p17 * x3 + p23 * x4 + p29 * x5 + p35 * x6; 174 pc[5] = m6 = p6 * x1 + p12 * x2 + p18 * x3 + p24 * x4 + p30 * x5 + p36 * x6; 175 176 pc[6] = m7 = p1 * x7 + p7 * x8 + p13 * x9 + p19 * x10 + p25 * x11 + p31 * x12; 177 pc[7] = m8 = p2 * x7 + p8 * x8 + p14 * x9 + p20 * x10 + p26 * x11 + p32 * x12; 178 pc[8] = m9 = p3 * x7 + p9 * x8 + p15 * x9 + p21 * x10 + p27 * x11 + p33 * x12; 179 pc[9] = m10 = p4 * x7 + p10 * x8 + p16 * x9 + p22 * x10 + p28 * x11 + p34 * x12; 180 pc[10] = m11 = p5 * x7 + p11 * x8 + p17 * x9 + p23 * x10 + p29 * x11 + p35 * x12; 181 pc[11] = m12 = p6 * x7 + p12 * x8 + p18 * x9 + p24 * x10 + p30 * x11 + p36 * x12; 182 183 pc[12] = m13 = p1 * x13 + p7 * x14 + p13 * x15 + p19 * x16 + p25 * x17 + p31 * x18; 184 pc[13] = m14 = p2 * x13 + p8 * x14 + p14 * x15 + p20 * x16 + p26 * x17 + p32 * x18; 185 pc[14] = m15 = p3 * x13 + p9 * x14 + p15 * x15 + p21 * x16 + p27 * x17 + p33 * x18; 186 pc[15] = m16 = p4 * x13 + p10 * x14 + p16 * x15 + p22 * x16 + p28 * x17 + p34 * x18; 187 pc[16] = m17 = p5 * x13 + p11 * x14 + p17 * x15 + p23 * x16 + p29 * x17 + p35 * x18; 188 pc[17] = m18 = p6 * x13 + p12 * x14 + p18 * x15 + p24 * x16 + p30 * x17 + p36 * x18; 189 190 pc[18] = m19 = p1 * x19 + p7 * x20 + p13 * x21 + p19 * x22 + p25 * x23 + p31 * x24; 191 pc[19] = m20 = p2 * x19 + p8 * x20 + p14 * x21 + p20 * x22 + p26 * x23 + p32 * x24; 192 pc[20] = m21 = p3 * x19 + p9 * x20 + p15 * x21 + p21 * x22 + p27 * x23 + p33 * x24; 193 pc[21] = m22 = p4 * x19 + p10 * x20 + p16 * x21 + p22 * x22 + p28 * x23 + p34 * x24; 194 pc[22] = m23 = p5 * x19 + p11 * x20 + p17 * x21 + p23 * x22 + p29 * x23 + p35 * x24; 195 pc[23] = m24 = p6 * x19 + p12 * x20 + p18 * x21 + p24 * x22 + p30 * x23 + p36 * x24; 196 197 pc[24] = m25 = p1 * x25 + p7 * x26 + p13 * x27 + p19 * x28 + p25 * x29 + p31 * x30; 198 pc[25] = m26 = p2 * x25 + p8 * x26 + p14 * x27 + p20 * x28 + p26 * x29 + p32 * x30; 199 pc[26] = m27 = p3 * x25 + p9 * x26 + p15 * x27 + p21 * x28 + p27 * x29 + p33 * x30; 200 pc[27] = m28 = p4 * x25 + p10 * x26 + p16 * x27 + p22 * x28 + p28 * x29 + p34 * x30; 201 pc[28] = m29 = p5 * x25 + p11 * x26 + p17 * x27 + p23 * x28 + p29 * x29 + p35 * x30; 202 pc[29] = m30 = p6 * x25 + p12 * x26 + p18 * x27 + p24 * x28 + p30 * x29 + p36 * x30; 203 204 pc[30] = m31 = p1 * x31 + p7 * x32 + p13 * x33 + p19 * x34 + p25 * x35 + p31 * x36; 205 pc[31] = m32 = p2 * x31 + p8 * x32 + p14 * x33 + p20 * x34 + p26 * x35 + p32 * x36; 206 pc[32] = m33 = p3 * x31 + p9 * x32 + p15 * x33 + p21 * x34 + p27 * x35 + p33 * x36; 207 pc[33] = m34 = p4 * x31 + p10 * x32 + p16 * x33 + p22 * x34 + p28 * x35 + p34 * x36; 208 pc[34] = m35 = p5 * x31 + p11 * x32 + p17 * x33 + p23 * x34 + p29 * x35 + p35 * x36; 209 pc[35] = m36 = p6 * x31 + p12 * x32 + p18 * x33 + p24 * x34 + p30 * x35 + p36 * x36; 210 211 nz = bi[row + 1] - diag_offset[row] - 1; 212 pv += 36; 213 for (j = 0; j < nz; j++) { 214 x1 = pv[0]; 215 x2 = pv[1]; 216 x3 = pv[2]; 217 x4 = pv[3]; 218 x5 = pv[4]; 219 x6 = pv[5]; 220 x7 = pv[6]; 221 x8 = pv[7]; 222 x9 = pv[8]; 223 x10 = pv[9]; 224 x11 = pv[10]; 225 x12 = pv[11]; 226 x13 = pv[12]; 227 x14 = pv[13]; 228 x15 = pv[14]; 229 x16 = pv[15]; 230 x17 = pv[16]; 231 x18 = pv[17]; 232 x19 = pv[18]; 233 x20 = pv[19]; 234 x21 = pv[20]; 235 x22 = pv[21]; 236 x23 = pv[22]; 237 x24 = pv[23]; 238 x25 = pv[24]; 239 x26 = pv[25]; 240 x27 = pv[26]; 241 x28 = pv[27]; 242 x29 = pv[28]; 243 x30 = pv[29]; 244 x31 = pv[30]; 245 x32 = pv[31]; 246 x33 = pv[32]; 247 x34 = pv[33]; 248 x35 = pv[34]; 249 x36 = pv[35]; 250 x = rtmp + 36 * pj[j]; 251 x[0] -= m1 * x1 + m7 * x2 + m13 * x3 + m19 * x4 + m25 * x5 + m31 * x6; 252 x[1] -= m2 * x1 + m8 * x2 + m14 * x3 + m20 * x4 + m26 * x5 + m32 * x6; 253 x[2] -= m3 * x1 + m9 * x2 + m15 * x3 + m21 * x4 + m27 * x5 + m33 * x6; 254 x[3] -= m4 * x1 + m10 * x2 + m16 * x3 + m22 * x4 + m28 * x5 + m34 * x6; 255 x[4] -= m5 * x1 + m11 * x2 + m17 * x3 + m23 * x4 + m29 * x5 + m35 * x6; 256 x[5] -= m6 * x1 + m12 * x2 + m18 * x3 + m24 * x4 + m30 * x5 + m36 * x6; 257 258 x[6] -= m1 * x7 + m7 * x8 + m13 * x9 + m19 * x10 + m25 * x11 + m31 * x12; 259 x[7] -= m2 * x7 + m8 * x8 + m14 * x9 + m20 * x10 + m26 * x11 + m32 * x12; 260 x[8] -= m3 * x7 + m9 * x8 + m15 * x9 + m21 * x10 + m27 * x11 + m33 * x12; 261 x[9] -= m4 * x7 + m10 * x8 + m16 * x9 + m22 * x10 + m28 * x11 + m34 * x12; 262 x[10] -= m5 * x7 + m11 * x8 + m17 * x9 + m23 * x10 + m29 * x11 + m35 * x12; 263 x[11] -= m6 * x7 + m12 * x8 + m18 * x9 + m24 * x10 + m30 * x11 + m36 * x12; 264 265 x[12] -= m1 * x13 + m7 * x14 + m13 * x15 + m19 * x16 + m25 * x17 + m31 * x18; 266 x[13] -= m2 * x13 + m8 * x14 + m14 * x15 + m20 * x16 + m26 * x17 + m32 * x18; 267 x[14] -= m3 * x13 + m9 * x14 + m15 * x15 + m21 * x16 + m27 * x17 + m33 * x18; 268 x[15] -= m4 * x13 + m10 * x14 + m16 * x15 + m22 * x16 + m28 * x17 + m34 * x18; 269 x[16] -= m5 * x13 + m11 * x14 + m17 * x15 + m23 * x16 + m29 * x17 + m35 * x18; 270 x[17] -= m6 * x13 + m12 * x14 + m18 * x15 + m24 * x16 + m30 * x17 + m36 * x18; 271 272 x[18] -= m1 * x19 + m7 * x20 + m13 * x21 + m19 * x22 + m25 * x23 + m31 * x24; 273 x[19] -= m2 * x19 + m8 * x20 + m14 * x21 + m20 * x22 + m26 * x23 + m32 * x24; 274 x[20] -= m3 * x19 + m9 * x20 + m15 * x21 + m21 * x22 + m27 * x23 + m33 * x24; 275 x[21] -= m4 * x19 + m10 * x20 + m16 * x21 + m22 * x22 + m28 * x23 + m34 * x24; 276 x[22] -= m5 * x19 + m11 * x20 + m17 * x21 + m23 * x22 + m29 * x23 + m35 * x24; 277 x[23] -= m6 * x19 + m12 * x20 + m18 * x21 + m24 * x22 + m30 * x23 + m36 * x24; 278 279 x[24] -= m1 * x25 + m7 * x26 + m13 * x27 + m19 * x28 + m25 * x29 + m31 * x30; 280 x[25] -= m2 * x25 + m8 * x26 + m14 * x27 + m20 * x28 + m26 * x29 + m32 * x30; 281 x[26] -= m3 * x25 + m9 * x26 + m15 * x27 + m21 * x28 + m27 * x29 + m33 * x30; 282 x[27] -= m4 * x25 + m10 * x26 + m16 * x27 + m22 * x28 + m28 * x29 + m34 * x30; 283 x[28] -= m5 * x25 + m11 * x26 + m17 * x27 + m23 * x28 + m29 * x29 + m35 * x30; 284 x[29] -= m6 * x25 + m12 * x26 + m18 * x27 + m24 * x28 + m30 * x29 + m36 * x30; 285 286 x[30] -= m1 * x31 + m7 * x32 + m13 * x33 + m19 * x34 + m25 * x35 + m31 * x36; 287 x[31] -= m2 * x31 + m8 * x32 + m14 * x33 + m20 * x34 + m26 * x35 + m32 * x36; 288 x[32] -= m3 * x31 + m9 * x32 + m15 * x33 + m21 * x34 + m27 * x35 + m33 * x36; 289 x[33] -= m4 * x31 + m10 * x32 + m16 * x33 + m22 * x34 + m28 * x35 + m34 * x36; 290 x[34] -= m5 * x31 + m11 * x32 + m17 * x33 + m23 * x34 + m29 * x35 + m35 * x36; 291 x[35] -= m6 * x31 + m12 * x32 + m18 * x33 + m24 * x34 + m30 * x35 + m36 * x36; 292 293 pv += 36; 294 } 295 PetscCall(PetscLogFlops(432.0 * nz + 396.0)); 296 } 297 row = *ajtmp++; 298 } 299 /* finished row so stick it into b->a */ 300 pv = ba + 36 * bi[i]; 301 pj = bj + bi[i]; 302 nz = bi[i + 1] - bi[i]; 303 for (j = 0; j < nz; j++) { 304 x = rtmp + 36 * pj[j]; 305 pv[0] = x[0]; 306 pv[1] = x[1]; 307 pv[2] = x[2]; 308 pv[3] = x[3]; 309 pv[4] = x[4]; 310 pv[5] = x[5]; 311 pv[6] = x[6]; 312 pv[7] = x[7]; 313 pv[8] = x[8]; 314 pv[9] = x[9]; 315 pv[10] = x[10]; 316 pv[11] = x[11]; 317 pv[12] = x[12]; 318 pv[13] = x[13]; 319 pv[14] = x[14]; 320 pv[15] = x[15]; 321 pv[16] = x[16]; 322 pv[17] = x[17]; 323 pv[18] = x[18]; 324 pv[19] = x[19]; 325 pv[20] = x[20]; 326 pv[21] = x[21]; 327 pv[22] = x[22]; 328 pv[23] = x[23]; 329 pv[24] = x[24]; 330 pv[25] = x[25]; 331 pv[26] = x[26]; 332 pv[27] = x[27]; 333 pv[28] = x[28]; 334 pv[29] = x[29]; 335 pv[30] = x[30]; 336 pv[31] = x[31]; 337 pv[32] = x[32]; 338 pv[33] = x[33]; 339 pv[34] = x[34]; 340 pv[35] = x[35]; 341 pv += 36; 342 } 343 /* invert diagonal block */ 344 w = ba + 36 * diag_offset[i]; 345 PetscCall(PetscKernel_A_gets_inverse_A_6(w, shift, allowzeropivot, &zeropivotdetected)); 346 if (zeropivotdetected) C->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 347 } 348 349 PetscCall(PetscFree(rtmp)); 350 PetscCall(ISRestoreIndices(isicol, &ic)); 351 PetscCall(ISRestoreIndices(isrow, &r)); 352 353 C->ops->solve = MatSolve_SeqBAIJ_6_inplace; 354 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_6_inplace; 355 C->assembled = PETSC_TRUE; 356 357 PetscCall(PetscLogFlops(1.333333333333 * 6 * 6 * 6 * b->mbs)); /* from inverting diagonal blocks */ 358 PetscFunctionReturn(PETSC_SUCCESS); 359 } 360 361 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6(Mat B, Mat A, const MatFactorInfo *info) 362 { 363 Mat C = B; 364 Mat_SeqBAIJ *a = (Mat_SeqBAIJ *)A->data, *b = (Mat_SeqBAIJ *)C->data; 365 IS isrow = b->row, isicol = b->icol; 366 const PetscInt *r, *ic; 367 PetscInt i, j, k, nz, nzL, row; 368 const PetscInt n = a->mbs, *ai = a->i, *aj = a->j, *bi = b->i, *bj = b->j; 369 const PetscInt *ajtmp, *bjtmp, *bdiag = b->diag, *pj, bs2 = a->bs2; 370 MatScalar *rtmp, *pc, *mwork, *v, *pv, *aa = a->a; 371 PetscInt flg; 372 PetscReal shift = info->shiftamount; 373 PetscBool allowzeropivot, zeropivotdetected; 374 375 PetscFunctionBegin; 376 allowzeropivot = PetscNot(A->erroriffailure); 377 PetscCall(ISGetIndices(isrow, &r)); 378 PetscCall(ISGetIndices(isicol, &ic)); 379 380 /* generate work space needed by the factorization */ 381 PetscCall(PetscMalloc2(bs2 * n, &rtmp, bs2, &mwork)); 382 PetscCall(PetscArrayzero(rtmp, bs2 * n)); 383 384 for (i = 0; i < n; i++) { 385 /* zero rtmp */ 386 /* L part */ 387 nz = bi[i + 1] - bi[i]; 388 bjtmp = bj + bi[i]; 389 for (j = 0; j < nz; j++) PetscCall(PetscArrayzero(rtmp + bs2 * bjtmp[j], bs2)); 390 391 /* U part */ 392 nz = bdiag[i] - bdiag[i + 1]; 393 bjtmp = bj + bdiag[i + 1] + 1; 394 for (j = 0; j < nz; j++) PetscCall(PetscArrayzero(rtmp + bs2 * bjtmp[j], bs2)); 395 396 /* load in initial (unfactored row) */ 397 nz = ai[r[i] + 1] - ai[r[i]]; 398 ajtmp = aj + ai[r[i]]; 399 v = aa + bs2 * ai[r[i]]; 400 for (j = 0; j < nz; j++) PetscCall(PetscArraycpy(rtmp + bs2 * ic[ajtmp[j]], v + bs2 * j, bs2)); 401 402 /* elimination */ 403 bjtmp = bj + bi[i]; 404 nzL = bi[i + 1] - bi[i]; 405 for (k = 0; k < nzL; k++) { 406 row = bjtmp[k]; 407 pc = rtmp + bs2 * row; 408 for (flg = 0, j = 0; j < bs2; j++) { 409 if (pc[j] != 0.0) { 410 flg = 1; 411 break; 412 } 413 } 414 if (flg) { 415 pv = b->a + bs2 * bdiag[row]; 416 /* PetscKernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 417 PetscCall(PetscKernel_A_gets_A_times_B_6(pc, pv, mwork)); 418 419 pj = b->j + bdiag[row + 1] + 1; /* beginning of U(row,:) */ 420 pv = b->a + bs2 * (bdiag[row + 1] + 1); 421 nz = bdiag[row] - bdiag[row + 1] - 1; /* num of entries inU(row,:), excluding diag */ 422 for (j = 0; j < nz; j++) { 423 /* PetscKernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 424 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 425 v = rtmp + bs2 * pj[j]; 426 PetscCall(PetscKernel_A_gets_A_minus_B_times_C_6(v, pc, pv)); 427 pv += bs2; 428 } 429 PetscCall(PetscLogFlops(432.0 * nz + 396)); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 430 } 431 } 432 433 /* finished row so stick it into b->a */ 434 /* L part */ 435 pv = b->a + bs2 * bi[i]; 436 pj = b->j + bi[i]; 437 nz = bi[i + 1] - bi[i]; 438 for (j = 0; j < nz; j++) PetscCall(PetscArraycpy(pv + bs2 * j, rtmp + bs2 * pj[j], bs2)); 439 440 /* Mark diagonal and invert diagonal for simpler triangular solves */ 441 pv = b->a + bs2 * bdiag[i]; 442 pj = b->j + bdiag[i]; 443 PetscCall(PetscArraycpy(pv, rtmp + bs2 * pj[0], bs2)); 444 PetscCall(PetscKernel_A_gets_inverse_A_6(pv, shift, allowzeropivot, &zeropivotdetected)); 445 if (zeropivotdetected) C->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 446 447 /* U part */ 448 pv = b->a + bs2 * (bdiag[i + 1] + 1); 449 pj = b->j + bdiag[i + 1] + 1; 450 nz = bdiag[i] - bdiag[i + 1] - 1; 451 for (j = 0; j < nz; j++) PetscCall(PetscArraycpy(pv + bs2 * j, rtmp + bs2 * pj[j], bs2)); 452 } 453 454 PetscCall(PetscFree2(rtmp, mwork)); 455 PetscCall(ISRestoreIndices(isicol, &ic)); 456 PetscCall(ISRestoreIndices(isrow, &r)); 457 458 C->ops->solve = MatSolve_SeqBAIJ_6; 459 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_6; 460 C->assembled = PETSC_TRUE; 461 462 PetscCall(PetscLogFlops(1.333333333333 * 6 * 6 * 6 * n)); /* from inverting diagonal blocks */ 463 PetscFunctionReturn(PETSC_SUCCESS); 464 } 465 466 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering_inplace(Mat C, Mat A, const MatFactorInfo *info) 467 { 468 Mat_SeqBAIJ *a = (Mat_SeqBAIJ *)A->data, *b = (Mat_SeqBAIJ *)C->data; 469 PetscInt i, j, n = a->mbs, *bi = b->i, *bj = b->j; 470 PetscInt *ajtmpold, *ajtmp, nz, row; 471 PetscInt *diag_offset = b->diag, *ai = a->i, *aj = a->j, *pj; 472 MatScalar *pv, *v, *rtmp, *pc, *w, *x; 473 MatScalar x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15; 474 MatScalar x16, x17, x18, x19, x20, x21, x22, x23, x24, x25; 475 MatScalar p1, p2, p3, p4, p5, p6, p7, p8, p9, p10, p11, p12, p13, p14, p15; 476 MatScalar p16, p17, p18, p19, p20, p21, p22, p23, p24, p25; 477 MatScalar m1, m2, m3, m4, m5, m6, m7, m8, m9, m10, m11, m12, m13, m14, m15; 478 MatScalar m16, m17, m18, m19, m20, m21, m22, m23, m24, m25; 479 MatScalar p26, p27, p28, p29, p30, p31, p32, p33, p34, p35, p36; 480 MatScalar x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x36; 481 MatScalar m26, m27, m28, m29, m30, m31, m32, m33, m34, m35, m36; 482 MatScalar *ba = b->a, *aa = a->a; 483 PetscReal shift = info->shiftamount; 484 PetscBool allowzeropivot, zeropivotdetected; 485 486 PetscFunctionBegin; 487 allowzeropivot = PetscNot(A->erroriffailure); 488 PetscCall(PetscMalloc1(36 * (n + 1), &rtmp)); 489 for (i = 0; i < n; i++) { 490 nz = bi[i + 1] - bi[i]; 491 ajtmp = bj + bi[i]; 492 for (j = 0; j < nz; j++) { 493 x = rtmp + 36 * ajtmp[j]; 494 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 495 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 496 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0; 497 x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0; 498 x[34] = x[35] = 0.0; 499 } 500 /* load in initial (unfactored row) */ 501 nz = ai[i + 1] - ai[i]; 502 ajtmpold = aj + ai[i]; 503 v = aa + 36 * ai[i]; 504 for (j = 0; j < nz; j++) { 505 x = rtmp + 36 * ajtmpold[j]; 506 x[0] = v[0]; 507 x[1] = v[1]; 508 x[2] = v[2]; 509 x[3] = v[3]; 510 x[4] = v[4]; 511 x[5] = v[5]; 512 x[6] = v[6]; 513 x[7] = v[7]; 514 x[8] = v[8]; 515 x[9] = v[9]; 516 x[10] = v[10]; 517 x[11] = v[11]; 518 x[12] = v[12]; 519 x[13] = v[13]; 520 x[14] = v[14]; 521 x[15] = v[15]; 522 x[16] = v[16]; 523 x[17] = v[17]; 524 x[18] = v[18]; 525 x[19] = v[19]; 526 x[20] = v[20]; 527 x[21] = v[21]; 528 x[22] = v[22]; 529 x[23] = v[23]; 530 x[24] = v[24]; 531 x[25] = v[25]; 532 x[26] = v[26]; 533 x[27] = v[27]; 534 x[28] = v[28]; 535 x[29] = v[29]; 536 x[30] = v[30]; 537 x[31] = v[31]; 538 x[32] = v[32]; 539 x[33] = v[33]; 540 x[34] = v[34]; 541 x[35] = v[35]; 542 v += 36; 543 } 544 row = *ajtmp++; 545 while (row < i) { 546 pc = rtmp + 36 * row; 547 p1 = pc[0]; 548 p2 = pc[1]; 549 p3 = pc[2]; 550 p4 = pc[3]; 551 p5 = pc[4]; 552 p6 = pc[5]; 553 p7 = pc[6]; 554 p8 = pc[7]; 555 p9 = pc[8]; 556 p10 = pc[9]; 557 p11 = pc[10]; 558 p12 = pc[11]; 559 p13 = pc[12]; 560 p14 = pc[13]; 561 p15 = pc[14]; 562 p16 = pc[15]; 563 p17 = pc[16]; 564 p18 = pc[17]; 565 p19 = pc[18]; 566 p20 = pc[19]; 567 p21 = pc[20]; 568 p22 = pc[21]; 569 p23 = pc[22]; 570 p24 = pc[23]; 571 p25 = pc[24]; 572 p26 = pc[25]; 573 p27 = pc[26]; 574 p28 = pc[27]; 575 p29 = pc[28]; 576 p30 = pc[29]; 577 p31 = pc[30]; 578 p32 = pc[31]; 579 p33 = pc[32]; 580 p34 = pc[33]; 581 p35 = pc[34]; 582 p36 = pc[35]; 583 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0) { 584 pv = ba + 36 * diag_offset[row]; 585 pj = bj + diag_offset[row] + 1; 586 x1 = pv[0]; 587 x2 = pv[1]; 588 x3 = pv[2]; 589 x4 = pv[3]; 590 x5 = pv[4]; 591 x6 = pv[5]; 592 x7 = pv[6]; 593 x8 = pv[7]; 594 x9 = pv[8]; 595 x10 = pv[9]; 596 x11 = pv[10]; 597 x12 = pv[11]; 598 x13 = pv[12]; 599 x14 = pv[13]; 600 x15 = pv[14]; 601 x16 = pv[15]; 602 x17 = pv[16]; 603 x18 = pv[17]; 604 x19 = pv[18]; 605 x20 = pv[19]; 606 x21 = pv[20]; 607 x22 = pv[21]; 608 x23 = pv[22]; 609 x24 = pv[23]; 610 x25 = pv[24]; 611 x26 = pv[25]; 612 x27 = pv[26]; 613 x28 = pv[27]; 614 x29 = pv[28]; 615 x30 = pv[29]; 616 x31 = pv[30]; 617 x32 = pv[31]; 618 x33 = pv[32]; 619 x34 = pv[33]; 620 x35 = pv[34]; 621 x36 = pv[35]; 622 pc[0] = m1 = p1 * x1 + p7 * x2 + p13 * x3 + p19 * x4 + p25 * x5 + p31 * x6; 623 pc[1] = m2 = p2 * x1 + p8 * x2 + p14 * x3 + p20 * x4 + p26 * x5 + p32 * x6; 624 pc[2] = m3 = p3 * x1 + p9 * x2 + p15 * x3 + p21 * x4 + p27 * x5 + p33 * x6; 625 pc[3] = m4 = p4 * x1 + p10 * x2 + p16 * x3 + p22 * x4 + p28 * x5 + p34 * x6; 626 pc[4] = m5 = p5 * x1 + p11 * x2 + p17 * x3 + p23 * x4 + p29 * x5 + p35 * x6; 627 pc[5] = m6 = p6 * x1 + p12 * x2 + p18 * x3 + p24 * x4 + p30 * x5 + p36 * x6; 628 629 pc[6] = m7 = p1 * x7 + p7 * x8 + p13 * x9 + p19 * x10 + p25 * x11 + p31 * x12; 630 pc[7] = m8 = p2 * x7 + p8 * x8 + p14 * x9 + p20 * x10 + p26 * x11 + p32 * x12; 631 pc[8] = m9 = p3 * x7 + p9 * x8 + p15 * x9 + p21 * x10 + p27 * x11 + p33 * x12; 632 pc[9] = m10 = p4 * x7 + p10 * x8 + p16 * x9 + p22 * x10 + p28 * x11 + p34 * x12; 633 pc[10] = m11 = p5 * x7 + p11 * x8 + p17 * x9 + p23 * x10 + p29 * x11 + p35 * x12; 634 pc[11] = m12 = p6 * x7 + p12 * x8 + p18 * x9 + p24 * x10 + p30 * x11 + p36 * x12; 635 636 pc[12] = m13 = p1 * x13 + p7 * x14 + p13 * x15 + p19 * x16 + p25 * x17 + p31 * x18; 637 pc[13] = m14 = p2 * x13 + p8 * x14 + p14 * x15 + p20 * x16 + p26 * x17 + p32 * x18; 638 pc[14] = m15 = p3 * x13 + p9 * x14 + p15 * x15 + p21 * x16 + p27 * x17 + p33 * x18; 639 pc[15] = m16 = p4 * x13 + p10 * x14 + p16 * x15 + p22 * x16 + p28 * x17 + p34 * x18; 640 pc[16] = m17 = p5 * x13 + p11 * x14 + p17 * x15 + p23 * x16 + p29 * x17 + p35 * x18; 641 pc[17] = m18 = p6 * x13 + p12 * x14 + p18 * x15 + p24 * x16 + p30 * x17 + p36 * x18; 642 643 pc[18] = m19 = p1 * x19 + p7 * x20 + p13 * x21 + p19 * x22 + p25 * x23 + p31 * x24; 644 pc[19] = m20 = p2 * x19 + p8 * x20 + p14 * x21 + p20 * x22 + p26 * x23 + p32 * x24; 645 pc[20] = m21 = p3 * x19 + p9 * x20 + p15 * x21 + p21 * x22 + p27 * x23 + p33 * x24; 646 pc[21] = m22 = p4 * x19 + p10 * x20 + p16 * x21 + p22 * x22 + p28 * x23 + p34 * x24; 647 pc[22] = m23 = p5 * x19 + p11 * x20 + p17 * x21 + p23 * x22 + p29 * x23 + p35 * x24; 648 pc[23] = m24 = p6 * x19 + p12 * x20 + p18 * x21 + p24 * x22 + p30 * x23 + p36 * x24; 649 650 pc[24] = m25 = p1 * x25 + p7 * x26 + p13 * x27 + p19 * x28 + p25 * x29 + p31 * x30; 651 pc[25] = m26 = p2 * x25 + p8 * x26 + p14 * x27 + p20 * x28 + p26 * x29 + p32 * x30; 652 pc[26] = m27 = p3 * x25 + p9 * x26 + p15 * x27 + p21 * x28 + p27 * x29 + p33 * x30; 653 pc[27] = m28 = p4 * x25 + p10 * x26 + p16 * x27 + p22 * x28 + p28 * x29 + p34 * x30; 654 pc[28] = m29 = p5 * x25 + p11 * x26 + p17 * x27 + p23 * x28 + p29 * x29 + p35 * x30; 655 pc[29] = m30 = p6 * x25 + p12 * x26 + p18 * x27 + p24 * x28 + p30 * x29 + p36 * x30; 656 657 pc[30] = m31 = p1 * x31 + p7 * x32 + p13 * x33 + p19 * x34 + p25 * x35 + p31 * x36; 658 pc[31] = m32 = p2 * x31 + p8 * x32 + p14 * x33 + p20 * x34 + p26 * x35 + p32 * x36; 659 pc[32] = m33 = p3 * x31 + p9 * x32 + p15 * x33 + p21 * x34 + p27 * x35 + p33 * x36; 660 pc[33] = m34 = p4 * x31 + p10 * x32 + p16 * x33 + p22 * x34 + p28 * x35 + p34 * x36; 661 pc[34] = m35 = p5 * x31 + p11 * x32 + p17 * x33 + p23 * x34 + p29 * x35 + p35 * x36; 662 pc[35] = m36 = p6 * x31 + p12 * x32 + p18 * x33 + p24 * x34 + p30 * x35 + p36 * x36; 663 664 nz = bi[row + 1] - diag_offset[row] - 1; 665 pv += 36; 666 for (j = 0; j < nz; j++) { 667 x1 = pv[0]; 668 x2 = pv[1]; 669 x3 = pv[2]; 670 x4 = pv[3]; 671 x5 = pv[4]; 672 x6 = pv[5]; 673 x7 = pv[6]; 674 x8 = pv[7]; 675 x9 = pv[8]; 676 x10 = pv[9]; 677 x11 = pv[10]; 678 x12 = pv[11]; 679 x13 = pv[12]; 680 x14 = pv[13]; 681 x15 = pv[14]; 682 x16 = pv[15]; 683 x17 = pv[16]; 684 x18 = pv[17]; 685 x19 = pv[18]; 686 x20 = pv[19]; 687 x21 = pv[20]; 688 x22 = pv[21]; 689 x23 = pv[22]; 690 x24 = pv[23]; 691 x25 = pv[24]; 692 x26 = pv[25]; 693 x27 = pv[26]; 694 x28 = pv[27]; 695 x29 = pv[28]; 696 x30 = pv[29]; 697 x31 = pv[30]; 698 x32 = pv[31]; 699 x33 = pv[32]; 700 x34 = pv[33]; 701 x35 = pv[34]; 702 x36 = pv[35]; 703 x = rtmp + 36 * pj[j]; 704 x[0] -= m1 * x1 + m7 * x2 + m13 * x3 + m19 * x4 + m25 * x5 + m31 * x6; 705 x[1] -= m2 * x1 + m8 * x2 + m14 * x3 + m20 * x4 + m26 * x5 + m32 * x6; 706 x[2] -= m3 * x1 + m9 * x2 + m15 * x3 + m21 * x4 + m27 * x5 + m33 * x6; 707 x[3] -= m4 * x1 + m10 * x2 + m16 * x3 + m22 * x4 + m28 * x5 + m34 * x6; 708 x[4] -= m5 * x1 + m11 * x2 + m17 * x3 + m23 * x4 + m29 * x5 + m35 * x6; 709 x[5] -= m6 * x1 + m12 * x2 + m18 * x3 + m24 * x4 + m30 * x5 + m36 * x6; 710 711 x[6] -= m1 * x7 + m7 * x8 + m13 * x9 + m19 * x10 + m25 * x11 + m31 * x12; 712 x[7] -= m2 * x7 + m8 * x8 + m14 * x9 + m20 * x10 + m26 * x11 + m32 * x12; 713 x[8] -= m3 * x7 + m9 * x8 + m15 * x9 + m21 * x10 + m27 * x11 + m33 * x12; 714 x[9] -= m4 * x7 + m10 * x8 + m16 * x9 + m22 * x10 + m28 * x11 + m34 * x12; 715 x[10] -= m5 * x7 + m11 * x8 + m17 * x9 + m23 * x10 + m29 * x11 + m35 * x12; 716 x[11] -= m6 * x7 + m12 * x8 + m18 * x9 + m24 * x10 + m30 * x11 + m36 * x12; 717 718 x[12] -= m1 * x13 + m7 * x14 + m13 * x15 + m19 * x16 + m25 * x17 + m31 * x18; 719 x[13] -= m2 * x13 + m8 * x14 + m14 * x15 + m20 * x16 + m26 * x17 + m32 * x18; 720 x[14] -= m3 * x13 + m9 * x14 + m15 * x15 + m21 * x16 + m27 * x17 + m33 * x18; 721 x[15] -= m4 * x13 + m10 * x14 + m16 * x15 + m22 * x16 + m28 * x17 + m34 * x18; 722 x[16] -= m5 * x13 + m11 * x14 + m17 * x15 + m23 * x16 + m29 * x17 + m35 * x18; 723 x[17] -= m6 * x13 + m12 * x14 + m18 * x15 + m24 * x16 + m30 * x17 + m36 * x18; 724 725 x[18] -= m1 * x19 + m7 * x20 + m13 * x21 + m19 * x22 + m25 * x23 + m31 * x24; 726 x[19] -= m2 * x19 + m8 * x20 + m14 * x21 + m20 * x22 + m26 * x23 + m32 * x24; 727 x[20] -= m3 * x19 + m9 * x20 + m15 * x21 + m21 * x22 + m27 * x23 + m33 * x24; 728 x[21] -= m4 * x19 + m10 * x20 + m16 * x21 + m22 * x22 + m28 * x23 + m34 * x24; 729 x[22] -= m5 * x19 + m11 * x20 + m17 * x21 + m23 * x22 + m29 * x23 + m35 * x24; 730 x[23] -= m6 * x19 + m12 * x20 + m18 * x21 + m24 * x22 + m30 * x23 + m36 * x24; 731 732 x[24] -= m1 * x25 + m7 * x26 + m13 * x27 + m19 * x28 + m25 * x29 + m31 * x30; 733 x[25] -= m2 * x25 + m8 * x26 + m14 * x27 + m20 * x28 + m26 * x29 + m32 * x30; 734 x[26] -= m3 * x25 + m9 * x26 + m15 * x27 + m21 * x28 + m27 * x29 + m33 * x30; 735 x[27] -= m4 * x25 + m10 * x26 + m16 * x27 + m22 * x28 + m28 * x29 + m34 * x30; 736 x[28] -= m5 * x25 + m11 * x26 + m17 * x27 + m23 * x28 + m29 * x29 + m35 * x30; 737 x[29] -= m6 * x25 + m12 * x26 + m18 * x27 + m24 * x28 + m30 * x29 + m36 * x30; 738 739 x[30] -= m1 * x31 + m7 * x32 + m13 * x33 + m19 * x34 + m25 * x35 + m31 * x36; 740 x[31] -= m2 * x31 + m8 * x32 + m14 * x33 + m20 * x34 + m26 * x35 + m32 * x36; 741 x[32] -= m3 * x31 + m9 * x32 + m15 * x33 + m21 * x34 + m27 * x35 + m33 * x36; 742 x[33] -= m4 * x31 + m10 * x32 + m16 * x33 + m22 * x34 + m28 * x35 + m34 * x36; 743 x[34] -= m5 * x31 + m11 * x32 + m17 * x33 + m23 * x34 + m29 * x35 + m35 * x36; 744 x[35] -= m6 * x31 + m12 * x32 + m18 * x33 + m24 * x34 + m30 * x35 + m36 * x36; 745 746 pv += 36; 747 } 748 PetscCall(PetscLogFlops(432.0 * nz + 396.0)); 749 } 750 row = *ajtmp++; 751 } 752 /* finished row so stick it into b->a */ 753 pv = ba + 36 * bi[i]; 754 pj = bj + bi[i]; 755 nz = bi[i + 1] - bi[i]; 756 for (j = 0; j < nz; j++) { 757 x = rtmp + 36 * pj[j]; 758 pv[0] = x[0]; 759 pv[1] = x[1]; 760 pv[2] = x[2]; 761 pv[3] = x[3]; 762 pv[4] = x[4]; 763 pv[5] = x[5]; 764 pv[6] = x[6]; 765 pv[7] = x[7]; 766 pv[8] = x[8]; 767 pv[9] = x[9]; 768 pv[10] = x[10]; 769 pv[11] = x[11]; 770 pv[12] = x[12]; 771 pv[13] = x[13]; 772 pv[14] = x[14]; 773 pv[15] = x[15]; 774 pv[16] = x[16]; 775 pv[17] = x[17]; 776 pv[18] = x[18]; 777 pv[19] = x[19]; 778 pv[20] = x[20]; 779 pv[21] = x[21]; 780 pv[22] = x[22]; 781 pv[23] = x[23]; 782 pv[24] = x[24]; 783 pv[25] = x[25]; 784 pv[26] = x[26]; 785 pv[27] = x[27]; 786 pv[28] = x[28]; 787 pv[29] = x[29]; 788 pv[30] = x[30]; 789 pv[31] = x[31]; 790 pv[32] = x[32]; 791 pv[33] = x[33]; 792 pv[34] = x[34]; 793 pv[35] = x[35]; 794 pv += 36; 795 } 796 /* invert diagonal block */ 797 w = ba + 36 * diag_offset[i]; 798 PetscCall(PetscKernel_A_gets_inverse_A_6(w, shift, allowzeropivot, &zeropivotdetected)); 799 if (zeropivotdetected) C->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 800 } 801 802 PetscCall(PetscFree(rtmp)); 803 804 C->ops->solve = MatSolve_SeqBAIJ_6_NaturalOrdering_inplace; 805 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_6_NaturalOrdering_inplace; 806 C->assembled = PETSC_TRUE; 807 808 PetscCall(PetscLogFlops(1.333333333333 * 6 * 6 * 6 * b->mbs)); /* from inverting diagonal blocks */ 809 PetscFunctionReturn(PETSC_SUCCESS); 810 } 811 812 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering(Mat B, Mat A, const MatFactorInfo *info) 813 { 814 Mat C = B; 815 Mat_SeqBAIJ *a = (Mat_SeqBAIJ *)A->data, *b = (Mat_SeqBAIJ *)C->data; 816 PetscInt i, j, k, nz, nzL, row; 817 const PetscInt n = a->mbs, *ai = a->i, *aj = a->j, *bi = b->i, *bj = b->j; 818 const PetscInt *ajtmp, *bjtmp, *bdiag = b->diag, *pj, bs2 = a->bs2; 819 MatScalar *rtmp, *pc, *mwork, *v, *pv, *aa = a->a; 820 PetscInt flg; 821 PetscReal shift = info->shiftamount; 822 PetscBool allowzeropivot, zeropivotdetected; 823 824 PetscFunctionBegin; 825 allowzeropivot = PetscNot(A->erroriffailure); 826 827 /* generate work space needed by the factorization */ 828 PetscCall(PetscMalloc2(bs2 * n, &rtmp, bs2, &mwork)); 829 PetscCall(PetscArrayzero(rtmp, bs2 * n)); 830 831 for (i = 0; i < n; i++) { 832 /* zero rtmp */ 833 /* L part */ 834 nz = bi[i + 1] - bi[i]; 835 bjtmp = bj + bi[i]; 836 for (j = 0; j < nz; j++) PetscCall(PetscArrayzero(rtmp + bs2 * bjtmp[j], bs2)); 837 838 /* U part */ 839 nz = bdiag[i] - bdiag[i + 1]; 840 bjtmp = bj + bdiag[i + 1] + 1; 841 for (j = 0; j < nz; j++) PetscCall(PetscArrayzero(rtmp + bs2 * bjtmp[j], bs2)); 842 843 /* load in initial (unfactored row) */ 844 nz = ai[i + 1] - ai[i]; 845 ajtmp = aj + ai[i]; 846 v = aa + bs2 * ai[i]; 847 for (j = 0; j < nz; j++) PetscCall(PetscArraycpy(rtmp + bs2 * ajtmp[j], v + bs2 * j, bs2)); 848 849 /* elimination */ 850 bjtmp = bj + bi[i]; 851 nzL = bi[i + 1] - bi[i]; 852 for (k = 0; k < nzL; k++) { 853 row = bjtmp[k]; 854 pc = rtmp + bs2 * row; 855 for (flg = 0, j = 0; j < bs2; j++) { 856 if (pc[j] != 0.0) { 857 flg = 1; 858 break; 859 } 860 } 861 if (flg) { 862 pv = b->a + bs2 * bdiag[row]; 863 /* PetscKernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 864 PetscCall(PetscKernel_A_gets_A_times_B_6(pc, pv, mwork)); 865 866 pj = b->j + bdiag[row + 1] + 1; /* beginning of U(row,:) */ 867 pv = b->a + bs2 * (bdiag[row + 1] + 1); 868 nz = bdiag[row] - bdiag[row + 1] - 1; /* num of entries inU(row,:), excluding diag */ 869 for (j = 0; j < nz; j++) { 870 /* PetscKernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 871 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 872 v = rtmp + bs2 * pj[j]; 873 PetscCall(PetscKernel_A_gets_A_minus_B_times_C_6(v, pc, pv)); 874 pv += bs2; 875 } 876 PetscCall(PetscLogFlops(432.0 * nz + 396)); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 877 } 878 } 879 880 /* finished row so stick it into b->a */ 881 /* L part */ 882 pv = b->a + bs2 * bi[i]; 883 pj = b->j + bi[i]; 884 nz = bi[i + 1] - bi[i]; 885 for (j = 0; j < nz; j++) PetscCall(PetscArraycpy(pv + bs2 * j, rtmp + bs2 * pj[j], bs2)); 886 887 /* Mark diagonal and invert diagonal for simpler triangular solves */ 888 pv = b->a + bs2 * bdiag[i]; 889 pj = b->j + bdiag[i]; 890 PetscCall(PetscArraycpy(pv, rtmp + bs2 * pj[0], bs2)); 891 PetscCall(PetscKernel_A_gets_inverse_A_6(pv, shift, allowzeropivot, &zeropivotdetected)); 892 if (zeropivotdetected) C->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 893 894 /* U part */ 895 pv = b->a + bs2 * (bdiag[i + 1] + 1); 896 pj = b->j + bdiag[i + 1] + 1; 897 nz = bdiag[i] - bdiag[i + 1] - 1; 898 for (j = 0; j < nz; j++) PetscCall(PetscArraycpy(pv + bs2 * j, rtmp + bs2 * pj[j], bs2)); 899 } 900 PetscCall(PetscFree2(rtmp, mwork)); 901 902 C->ops->solve = MatSolve_SeqBAIJ_6_NaturalOrdering; 903 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_6_NaturalOrdering; 904 C->assembled = PETSC_TRUE; 905 906 PetscCall(PetscLogFlops(1.333333333333 * 6 * 6 * 6 * n)); /* from inverting diagonal blocks */ 907 PetscFunctionReturn(PETSC_SUCCESS); 908 } 909