1 2 /* 3 Factorization code for BAIJ format. 4 */ 5 #include <../src/mat/impls/baij/seq/baij.h> 6 #include <petsc/private/kernels/blockinvert.h> 7 8 /* ------------------------------------------------------------*/ 9 /* 10 Version for when blocks are 6 by 6 11 */ 12 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_inplace(Mat C, Mat A, const MatFactorInfo *info) 13 { 14 Mat_SeqBAIJ *a = (Mat_SeqBAIJ *)A->data, *b = (Mat_SeqBAIJ *)C->data; 15 IS isrow = b->row, isicol = b->icol; 16 const PetscInt *ajtmpold, *ajtmp, *diag_offset = b->diag, *r, *ic, *bi = b->i, *bj = b->j, *ai = a->i, *aj = a->j, *pj; 17 PetscInt nz, row, i, j, n = a->mbs, idx; 18 MatScalar *pv, *v, *rtmp, *pc, *w, *x; 19 MatScalar p1, p2, p3, p4, m1, m2, m3, m4, m5, m6, m7, m8, m9, x1, x2, x3, x4; 20 MatScalar p5, p6, p7, p8, p9, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16; 21 MatScalar x17, x18, x19, x20, x21, x22, x23, x24, x25, p10, p11, p12, p13, p14; 22 MatScalar p15, p16, p17, p18, p19, p20, p21, p22, p23, p24, p25, m10, m11, m12; 23 MatScalar m13, m14, m15, m16, m17, m18, m19, m20, m21, m22, m23, m24, m25; 24 MatScalar p26, p27, p28, p29, p30, p31, p32, p33, p34, p35, p36; 25 MatScalar x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x36; 26 MatScalar m26, m27, m28, m29, m30, m31, m32, m33, m34, m35, m36; 27 MatScalar *ba = b->a, *aa = a->a; 28 PetscReal shift = info->shiftamount; 29 PetscBool allowzeropivot, zeropivotdetected; 30 31 PetscFunctionBegin; 32 allowzeropivot = PetscNot(A->erroriffailure); 33 PetscCall(ISGetIndices(isrow, &r)); 34 PetscCall(ISGetIndices(isicol, &ic)); 35 PetscCall(PetscMalloc1(36 * (n + 1), &rtmp)); 36 37 for (i = 0; i < n; i++) { 38 nz = bi[i + 1] - bi[i]; 39 ajtmp = bj + bi[i]; 40 for (j = 0; j < nz; j++) { 41 x = rtmp + 36 * ajtmp[j]; 42 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 43 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 44 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0; 45 x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0; 46 x[34] = x[35] = 0.0; 47 } 48 /* load in initial (unfactored row) */ 49 idx = r[i]; 50 nz = ai[idx + 1] - ai[idx]; 51 ajtmpold = aj + ai[idx]; 52 v = aa + 36 * ai[idx]; 53 for (j = 0; j < nz; j++) { 54 x = rtmp + 36 * ic[ajtmpold[j]]; 55 x[0] = v[0]; 56 x[1] = v[1]; 57 x[2] = v[2]; 58 x[3] = v[3]; 59 x[4] = v[4]; 60 x[5] = v[5]; 61 x[6] = v[6]; 62 x[7] = v[7]; 63 x[8] = v[8]; 64 x[9] = v[9]; 65 x[10] = v[10]; 66 x[11] = v[11]; 67 x[12] = v[12]; 68 x[13] = v[13]; 69 x[14] = v[14]; 70 x[15] = v[15]; 71 x[16] = v[16]; 72 x[17] = v[17]; 73 x[18] = v[18]; 74 x[19] = v[19]; 75 x[20] = v[20]; 76 x[21] = v[21]; 77 x[22] = v[22]; 78 x[23] = v[23]; 79 x[24] = v[24]; 80 x[25] = v[25]; 81 x[26] = v[26]; 82 x[27] = v[27]; 83 x[28] = v[28]; 84 x[29] = v[29]; 85 x[30] = v[30]; 86 x[31] = v[31]; 87 x[32] = v[32]; 88 x[33] = v[33]; 89 x[34] = v[34]; 90 x[35] = v[35]; 91 v += 36; 92 } 93 row = *ajtmp++; 94 while (row < i) { 95 pc = rtmp + 36 * row; 96 p1 = pc[0]; 97 p2 = pc[1]; 98 p3 = pc[2]; 99 p4 = pc[3]; 100 p5 = pc[4]; 101 p6 = pc[5]; 102 p7 = pc[6]; 103 p8 = pc[7]; 104 p9 = pc[8]; 105 p10 = pc[9]; 106 p11 = pc[10]; 107 p12 = pc[11]; 108 p13 = pc[12]; 109 p14 = pc[13]; 110 p15 = pc[14]; 111 p16 = pc[15]; 112 p17 = pc[16]; 113 p18 = pc[17]; 114 p19 = pc[18]; 115 p20 = pc[19]; 116 p21 = pc[20]; 117 p22 = pc[21]; 118 p23 = pc[22]; 119 p24 = pc[23]; 120 p25 = pc[24]; 121 p26 = pc[25]; 122 p27 = pc[26]; 123 p28 = pc[27]; 124 p29 = pc[28]; 125 p30 = pc[29]; 126 p31 = pc[30]; 127 p32 = pc[31]; 128 p33 = pc[32]; 129 p34 = pc[33]; 130 p35 = pc[34]; 131 p36 = pc[35]; 132 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) { 133 pv = ba + 36 * diag_offset[row]; 134 pj = bj + diag_offset[row] + 1; 135 x1 = pv[0]; 136 x2 = pv[1]; 137 x3 = pv[2]; 138 x4 = pv[3]; 139 x5 = pv[4]; 140 x6 = pv[5]; 141 x7 = pv[6]; 142 x8 = pv[7]; 143 x9 = pv[8]; 144 x10 = pv[9]; 145 x11 = pv[10]; 146 x12 = pv[11]; 147 x13 = pv[12]; 148 x14 = pv[13]; 149 x15 = pv[14]; 150 x16 = pv[15]; 151 x17 = pv[16]; 152 x18 = pv[17]; 153 x19 = pv[18]; 154 x20 = pv[19]; 155 x21 = pv[20]; 156 x22 = pv[21]; 157 x23 = pv[22]; 158 x24 = pv[23]; 159 x25 = pv[24]; 160 x26 = pv[25]; 161 x27 = pv[26]; 162 x28 = pv[27]; 163 x29 = pv[28]; 164 x30 = pv[29]; 165 x31 = pv[30]; 166 x32 = pv[31]; 167 x33 = pv[32]; 168 x34 = pv[33]; 169 x35 = pv[34]; 170 x36 = pv[35]; 171 pc[0] = m1 = p1 * x1 + p7 * x2 + p13 * x3 + p19 * x4 + p25 * x5 + p31 * x6; 172 pc[1] = m2 = p2 * x1 + p8 * x2 + p14 * x3 + p20 * x4 + p26 * x5 + p32 * x6; 173 pc[2] = m3 = p3 * x1 + p9 * x2 + p15 * x3 + p21 * x4 + p27 * x5 + p33 * x6; 174 pc[3] = m4 = p4 * x1 + p10 * x2 + p16 * x3 + p22 * x4 + p28 * x5 + p34 * x6; 175 pc[4] = m5 = p5 * x1 + p11 * x2 + p17 * x3 + p23 * x4 + p29 * x5 + p35 * x6; 176 pc[5] = m6 = p6 * x1 + p12 * x2 + p18 * x3 + p24 * x4 + p30 * x5 + p36 * x6; 177 178 pc[6] = m7 = p1 * x7 + p7 * x8 + p13 * x9 + p19 * x10 + p25 * x11 + p31 * x12; 179 pc[7] = m8 = p2 * x7 + p8 * x8 + p14 * x9 + p20 * x10 + p26 * x11 + p32 * x12; 180 pc[8] = m9 = p3 * x7 + p9 * x8 + p15 * x9 + p21 * x10 + p27 * x11 + p33 * x12; 181 pc[9] = m10 = p4 * x7 + p10 * x8 + p16 * x9 + p22 * x10 + p28 * x11 + p34 * x12; 182 pc[10] = m11 = p5 * x7 + p11 * x8 + p17 * x9 + p23 * x10 + p29 * x11 + p35 * x12; 183 pc[11] = m12 = p6 * x7 + p12 * x8 + p18 * x9 + p24 * x10 + p30 * x11 + p36 * x12; 184 185 pc[12] = m13 = p1 * x13 + p7 * x14 + p13 * x15 + p19 * x16 + p25 * x17 + p31 * x18; 186 pc[13] = m14 = p2 * x13 + p8 * x14 + p14 * x15 + p20 * x16 + p26 * x17 + p32 * x18; 187 pc[14] = m15 = p3 * x13 + p9 * x14 + p15 * x15 + p21 * x16 + p27 * x17 + p33 * x18; 188 pc[15] = m16 = p4 * x13 + p10 * x14 + p16 * x15 + p22 * x16 + p28 * x17 + p34 * x18; 189 pc[16] = m17 = p5 * x13 + p11 * x14 + p17 * x15 + p23 * x16 + p29 * x17 + p35 * x18; 190 pc[17] = m18 = p6 * x13 + p12 * x14 + p18 * x15 + p24 * x16 + p30 * x17 + p36 * x18; 191 192 pc[18] = m19 = p1 * x19 + p7 * x20 + p13 * x21 + p19 * x22 + p25 * x23 + p31 * x24; 193 pc[19] = m20 = p2 * x19 + p8 * x20 + p14 * x21 + p20 * x22 + p26 * x23 + p32 * x24; 194 pc[20] = m21 = p3 * x19 + p9 * x20 + p15 * x21 + p21 * x22 + p27 * x23 + p33 * x24; 195 pc[21] = m22 = p4 * x19 + p10 * x20 + p16 * x21 + p22 * x22 + p28 * x23 + p34 * x24; 196 pc[22] = m23 = p5 * x19 + p11 * x20 + p17 * x21 + p23 * x22 + p29 * x23 + p35 * x24; 197 pc[23] = m24 = p6 * x19 + p12 * x20 + p18 * x21 + p24 * x22 + p30 * x23 + p36 * x24; 198 199 pc[24] = m25 = p1 * x25 + p7 * x26 + p13 * x27 + p19 * x28 + p25 * x29 + p31 * x30; 200 pc[25] = m26 = p2 * x25 + p8 * x26 + p14 * x27 + p20 * x28 + p26 * x29 + p32 * x30; 201 pc[26] = m27 = p3 * x25 + p9 * x26 + p15 * x27 + p21 * x28 + p27 * x29 + p33 * x30; 202 pc[27] = m28 = p4 * x25 + p10 * x26 + p16 * x27 + p22 * x28 + p28 * x29 + p34 * x30; 203 pc[28] = m29 = p5 * x25 + p11 * x26 + p17 * x27 + p23 * x28 + p29 * x29 + p35 * x30; 204 pc[29] = m30 = p6 * x25 + p12 * x26 + p18 * x27 + p24 * x28 + p30 * x29 + p36 * x30; 205 206 pc[30] = m31 = p1 * x31 + p7 * x32 + p13 * x33 + p19 * x34 + p25 * x35 + p31 * x36; 207 pc[31] = m32 = p2 * x31 + p8 * x32 + p14 * x33 + p20 * x34 + p26 * x35 + p32 * x36; 208 pc[32] = m33 = p3 * x31 + p9 * x32 + p15 * x33 + p21 * x34 + p27 * x35 + p33 * x36; 209 pc[33] = m34 = p4 * x31 + p10 * x32 + p16 * x33 + p22 * x34 + p28 * x35 + p34 * x36; 210 pc[34] = m35 = p5 * x31 + p11 * x32 + p17 * x33 + p23 * x34 + p29 * x35 + p35 * x36; 211 pc[35] = m36 = p6 * x31 + p12 * x32 + p18 * x33 + p24 * x34 + p30 * x35 + p36 * x36; 212 213 nz = bi[row + 1] - diag_offset[row] - 1; 214 pv += 36; 215 for (j = 0; j < nz; j++) { 216 x1 = pv[0]; 217 x2 = pv[1]; 218 x3 = pv[2]; 219 x4 = pv[3]; 220 x5 = pv[4]; 221 x6 = pv[5]; 222 x7 = pv[6]; 223 x8 = pv[7]; 224 x9 = pv[8]; 225 x10 = pv[9]; 226 x11 = pv[10]; 227 x12 = pv[11]; 228 x13 = pv[12]; 229 x14 = pv[13]; 230 x15 = pv[14]; 231 x16 = pv[15]; 232 x17 = pv[16]; 233 x18 = pv[17]; 234 x19 = pv[18]; 235 x20 = pv[19]; 236 x21 = pv[20]; 237 x22 = pv[21]; 238 x23 = pv[22]; 239 x24 = pv[23]; 240 x25 = pv[24]; 241 x26 = pv[25]; 242 x27 = pv[26]; 243 x28 = pv[27]; 244 x29 = pv[28]; 245 x30 = pv[29]; 246 x31 = pv[30]; 247 x32 = pv[31]; 248 x33 = pv[32]; 249 x34 = pv[33]; 250 x35 = pv[34]; 251 x36 = pv[35]; 252 x = rtmp + 36 * pj[j]; 253 x[0] -= m1 * x1 + m7 * x2 + m13 * x3 + m19 * x4 + m25 * x5 + m31 * x6; 254 x[1] -= m2 * x1 + m8 * x2 + m14 * x3 + m20 * x4 + m26 * x5 + m32 * x6; 255 x[2] -= m3 * x1 + m9 * x2 + m15 * x3 + m21 * x4 + m27 * x5 + m33 * x6; 256 x[3] -= m4 * x1 + m10 * x2 + m16 * x3 + m22 * x4 + m28 * x5 + m34 * x6; 257 x[4] -= m5 * x1 + m11 * x2 + m17 * x3 + m23 * x4 + m29 * x5 + m35 * x6; 258 x[5] -= m6 * x1 + m12 * x2 + m18 * x3 + m24 * x4 + m30 * x5 + m36 * x6; 259 260 x[6] -= m1 * x7 + m7 * x8 + m13 * x9 + m19 * x10 + m25 * x11 + m31 * x12; 261 x[7] -= m2 * x7 + m8 * x8 + m14 * x9 + m20 * x10 + m26 * x11 + m32 * x12; 262 x[8] -= m3 * x7 + m9 * x8 + m15 * x9 + m21 * x10 + m27 * x11 + m33 * x12; 263 x[9] -= m4 * x7 + m10 * x8 + m16 * x9 + m22 * x10 + m28 * x11 + m34 * x12; 264 x[10] -= m5 * x7 + m11 * x8 + m17 * x9 + m23 * x10 + m29 * x11 + m35 * x12; 265 x[11] -= m6 * x7 + m12 * x8 + m18 * x9 + m24 * x10 + m30 * x11 + m36 * x12; 266 267 x[12] -= m1 * x13 + m7 * x14 + m13 * x15 + m19 * x16 + m25 * x17 + m31 * x18; 268 x[13] -= m2 * x13 + m8 * x14 + m14 * x15 + m20 * x16 + m26 * x17 + m32 * x18; 269 x[14] -= m3 * x13 + m9 * x14 + m15 * x15 + m21 * x16 + m27 * x17 + m33 * x18; 270 x[15] -= m4 * x13 + m10 * x14 + m16 * x15 + m22 * x16 + m28 * x17 + m34 * x18; 271 x[16] -= m5 * x13 + m11 * x14 + m17 * x15 + m23 * x16 + m29 * x17 + m35 * x18; 272 x[17] -= m6 * x13 + m12 * x14 + m18 * x15 + m24 * x16 + m30 * x17 + m36 * x18; 273 274 x[18] -= m1 * x19 + m7 * x20 + m13 * x21 + m19 * x22 + m25 * x23 + m31 * x24; 275 x[19] -= m2 * x19 + m8 * x20 + m14 * x21 + m20 * x22 + m26 * x23 + m32 * x24; 276 x[20] -= m3 * x19 + m9 * x20 + m15 * x21 + m21 * x22 + m27 * x23 + m33 * x24; 277 x[21] -= m4 * x19 + m10 * x20 + m16 * x21 + m22 * x22 + m28 * x23 + m34 * x24; 278 x[22] -= m5 * x19 + m11 * x20 + m17 * x21 + m23 * x22 + m29 * x23 + m35 * x24; 279 x[23] -= m6 * x19 + m12 * x20 + m18 * x21 + m24 * x22 + m30 * x23 + m36 * x24; 280 281 x[24] -= m1 * x25 + m7 * x26 + m13 * x27 + m19 * x28 + m25 * x29 + m31 * x30; 282 x[25] -= m2 * x25 + m8 * x26 + m14 * x27 + m20 * x28 + m26 * x29 + m32 * x30; 283 x[26] -= m3 * x25 + m9 * x26 + m15 * x27 + m21 * x28 + m27 * x29 + m33 * x30; 284 x[27] -= m4 * x25 + m10 * x26 + m16 * x27 + m22 * x28 + m28 * x29 + m34 * x30; 285 x[28] -= m5 * x25 + m11 * x26 + m17 * x27 + m23 * x28 + m29 * x29 + m35 * x30; 286 x[29] -= m6 * x25 + m12 * x26 + m18 * x27 + m24 * x28 + m30 * x29 + m36 * x30; 287 288 x[30] -= m1 * x31 + m7 * x32 + m13 * x33 + m19 * x34 + m25 * x35 + m31 * x36; 289 x[31] -= m2 * x31 + m8 * x32 + m14 * x33 + m20 * x34 + m26 * x35 + m32 * x36; 290 x[32] -= m3 * x31 + m9 * x32 + m15 * x33 + m21 * x34 + m27 * x35 + m33 * x36; 291 x[33] -= m4 * x31 + m10 * x32 + m16 * x33 + m22 * x34 + m28 * x35 + m34 * x36; 292 x[34] -= m5 * x31 + m11 * x32 + m17 * x33 + m23 * x34 + m29 * x35 + m35 * x36; 293 x[35] -= m6 * x31 + m12 * x32 + m18 * x33 + m24 * x34 + m30 * x35 + m36 * x36; 294 295 pv += 36; 296 } 297 PetscCall(PetscLogFlops(432.0 * nz + 396.0)); 298 } 299 row = *ajtmp++; 300 } 301 /* finished row so stick it into b->a */ 302 pv = ba + 36 * bi[i]; 303 pj = bj + bi[i]; 304 nz = bi[i + 1] - bi[i]; 305 for (j = 0; j < nz; j++) { 306 x = rtmp + 36 * pj[j]; 307 pv[0] = x[0]; 308 pv[1] = x[1]; 309 pv[2] = x[2]; 310 pv[3] = x[3]; 311 pv[4] = x[4]; 312 pv[5] = x[5]; 313 pv[6] = x[6]; 314 pv[7] = x[7]; 315 pv[8] = x[8]; 316 pv[9] = x[9]; 317 pv[10] = x[10]; 318 pv[11] = x[11]; 319 pv[12] = x[12]; 320 pv[13] = x[13]; 321 pv[14] = x[14]; 322 pv[15] = x[15]; 323 pv[16] = x[16]; 324 pv[17] = x[17]; 325 pv[18] = x[18]; 326 pv[19] = x[19]; 327 pv[20] = x[20]; 328 pv[21] = x[21]; 329 pv[22] = x[22]; 330 pv[23] = x[23]; 331 pv[24] = x[24]; 332 pv[25] = x[25]; 333 pv[26] = x[26]; 334 pv[27] = x[27]; 335 pv[28] = x[28]; 336 pv[29] = x[29]; 337 pv[30] = x[30]; 338 pv[31] = x[31]; 339 pv[32] = x[32]; 340 pv[33] = x[33]; 341 pv[34] = x[34]; 342 pv[35] = x[35]; 343 pv += 36; 344 } 345 /* invert diagonal block */ 346 w = ba + 36 * diag_offset[i]; 347 PetscCall(PetscKernel_A_gets_inverse_A_6(w, shift, allowzeropivot, &zeropivotdetected)); 348 if (zeropivotdetected) C->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 349 } 350 351 PetscCall(PetscFree(rtmp)); 352 PetscCall(ISRestoreIndices(isicol, &ic)); 353 PetscCall(ISRestoreIndices(isrow, &r)); 354 355 C->ops->solve = MatSolve_SeqBAIJ_6_inplace; 356 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_6_inplace; 357 C->assembled = PETSC_TRUE; 358 359 PetscCall(PetscLogFlops(1.333333333333 * 6 * 6 * 6 * b->mbs)); /* from inverting diagonal blocks */ 360 PetscFunctionReturn(0); 361 } 362 363 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6(Mat B, Mat A, const MatFactorInfo *info) 364 { 365 Mat C = B; 366 Mat_SeqBAIJ *a = (Mat_SeqBAIJ *)A->data, *b = (Mat_SeqBAIJ *)C->data; 367 IS isrow = b->row, isicol = b->icol; 368 const PetscInt *r, *ic; 369 PetscInt i, j, k, nz, nzL, row; 370 const PetscInt n = a->mbs, *ai = a->i, *aj = a->j, *bi = b->i, *bj = b->j; 371 const PetscInt *ajtmp, *bjtmp, *bdiag = b->diag, *pj, bs2 = a->bs2; 372 MatScalar *rtmp, *pc, *mwork, *v, *pv, *aa = a->a; 373 PetscInt flg; 374 PetscReal shift = info->shiftamount; 375 PetscBool allowzeropivot, zeropivotdetected; 376 377 PetscFunctionBegin; 378 allowzeropivot = PetscNot(A->erroriffailure); 379 PetscCall(ISGetIndices(isrow, &r)); 380 PetscCall(ISGetIndices(isicol, &ic)); 381 382 /* generate work space needed by the factorization */ 383 PetscCall(PetscMalloc2(bs2 * n, &rtmp, bs2, &mwork)); 384 PetscCall(PetscArrayzero(rtmp, bs2 * n)); 385 386 for (i = 0; i < n; i++) { 387 /* zero rtmp */ 388 /* L part */ 389 nz = bi[i + 1] - bi[i]; 390 bjtmp = bj + bi[i]; 391 for (j = 0; j < nz; j++) PetscCall(PetscArrayzero(rtmp + bs2 * bjtmp[j], bs2)); 392 393 /* U part */ 394 nz = bdiag[i] - bdiag[i + 1]; 395 bjtmp = bj + bdiag[i + 1] + 1; 396 for (j = 0; j < nz; j++) PetscCall(PetscArrayzero(rtmp + bs2 * bjtmp[j], bs2)); 397 398 /* load in initial (unfactored row) */ 399 nz = ai[r[i] + 1] - ai[r[i]]; 400 ajtmp = aj + ai[r[i]]; 401 v = aa + bs2 * ai[r[i]]; 402 for (j = 0; j < nz; j++) PetscCall(PetscArraycpy(rtmp + bs2 * ic[ajtmp[j]], v + bs2 * j, bs2)); 403 404 /* elimination */ 405 bjtmp = bj + bi[i]; 406 nzL = bi[i + 1] - bi[i]; 407 for (k = 0; k < nzL; k++) { 408 row = bjtmp[k]; 409 pc = rtmp + bs2 * row; 410 for (flg = 0, j = 0; j < bs2; j++) { 411 if (pc[j] != 0.0) { 412 flg = 1; 413 break; 414 } 415 } 416 if (flg) { 417 pv = b->a + bs2 * bdiag[row]; 418 /* PetscKernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 419 PetscCall(PetscKernel_A_gets_A_times_B_6(pc, pv, mwork)); 420 421 pj = b->j + bdiag[row + 1] + 1; /* beginning of U(row,:) */ 422 pv = b->a + bs2 * (bdiag[row + 1] + 1); 423 nz = bdiag[row] - bdiag[row + 1] - 1; /* num of entries inU(row,:), excluding diag */ 424 for (j = 0; j < nz; j++) { 425 /* PetscKernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 426 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 427 v = rtmp + bs2 * pj[j]; 428 PetscCall(PetscKernel_A_gets_A_minus_B_times_C_6(v, pc, pv)); 429 pv += bs2; 430 } 431 PetscCall(PetscLogFlops(432.0 * nz + 396)); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 432 } 433 } 434 435 /* finished row so stick it into b->a */ 436 /* L part */ 437 pv = b->a + bs2 * bi[i]; 438 pj = b->j + bi[i]; 439 nz = bi[i + 1] - bi[i]; 440 for (j = 0; j < nz; j++) PetscCall(PetscArraycpy(pv + bs2 * j, rtmp + bs2 * pj[j], bs2)); 441 442 /* Mark diagonal and invert diagonal for simpler triangular solves */ 443 pv = b->a + bs2 * bdiag[i]; 444 pj = b->j + bdiag[i]; 445 PetscCall(PetscArraycpy(pv, rtmp + bs2 * pj[0], bs2)); 446 PetscCall(PetscKernel_A_gets_inverse_A_6(pv, shift, allowzeropivot, &zeropivotdetected)); 447 if (zeropivotdetected) C->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 448 449 /* U part */ 450 pv = b->a + bs2 * (bdiag[i + 1] + 1); 451 pj = b->j + bdiag[i + 1] + 1; 452 nz = bdiag[i] - bdiag[i + 1] - 1; 453 for (j = 0; j < nz; j++) PetscCall(PetscArraycpy(pv + bs2 * j, rtmp + bs2 * pj[j], bs2)); 454 } 455 456 PetscCall(PetscFree2(rtmp, mwork)); 457 PetscCall(ISRestoreIndices(isicol, &ic)); 458 PetscCall(ISRestoreIndices(isrow, &r)); 459 460 C->ops->solve = MatSolve_SeqBAIJ_6; 461 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_6; 462 C->assembled = PETSC_TRUE; 463 464 PetscCall(PetscLogFlops(1.333333333333 * 6 * 6 * 6 * n)); /* from inverting diagonal blocks */ 465 PetscFunctionReturn(0); 466 } 467 468 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering_inplace(Mat C, Mat A, const MatFactorInfo *info) 469 { 470 Mat_SeqBAIJ *a = (Mat_SeqBAIJ *)A->data, *b = (Mat_SeqBAIJ *)C->data; 471 PetscInt i, j, n = a->mbs, *bi = b->i, *bj = b->j; 472 PetscInt *ajtmpold, *ajtmp, nz, row; 473 PetscInt *diag_offset = b->diag, *ai = a->i, *aj = a->j, *pj; 474 MatScalar *pv, *v, *rtmp, *pc, *w, *x; 475 MatScalar x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15; 476 MatScalar x16, x17, x18, x19, x20, x21, x22, x23, x24, x25; 477 MatScalar p1, p2, p3, p4, p5, p6, p7, p8, p9, p10, p11, p12, p13, p14, p15; 478 MatScalar p16, p17, p18, p19, p20, p21, p22, p23, p24, p25; 479 MatScalar m1, m2, m3, m4, m5, m6, m7, m8, m9, m10, m11, m12, m13, m14, m15; 480 MatScalar m16, m17, m18, m19, m20, m21, m22, m23, m24, m25; 481 MatScalar p26, p27, p28, p29, p30, p31, p32, p33, p34, p35, p36; 482 MatScalar x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x36; 483 MatScalar m26, m27, m28, m29, m30, m31, m32, m33, m34, m35, m36; 484 MatScalar *ba = b->a, *aa = a->a; 485 PetscReal shift = info->shiftamount; 486 PetscBool allowzeropivot, zeropivotdetected; 487 488 PetscFunctionBegin; 489 allowzeropivot = PetscNot(A->erroriffailure); 490 PetscCall(PetscMalloc1(36 * (n + 1), &rtmp)); 491 for (i = 0; i < n; i++) { 492 nz = bi[i + 1] - bi[i]; 493 ajtmp = bj + bi[i]; 494 for (j = 0; j < nz; j++) { 495 x = rtmp + 36 * ajtmp[j]; 496 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 497 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 498 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0; 499 x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0; 500 x[34] = x[35] = 0.0; 501 } 502 /* load in initial (unfactored row) */ 503 nz = ai[i + 1] - ai[i]; 504 ajtmpold = aj + ai[i]; 505 v = aa + 36 * ai[i]; 506 for (j = 0; j < nz; j++) { 507 x = rtmp + 36 * ajtmpold[j]; 508 x[0] = v[0]; 509 x[1] = v[1]; 510 x[2] = v[2]; 511 x[3] = v[3]; 512 x[4] = v[4]; 513 x[5] = v[5]; 514 x[6] = v[6]; 515 x[7] = v[7]; 516 x[8] = v[8]; 517 x[9] = v[9]; 518 x[10] = v[10]; 519 x[11] = v[11]; 520 x[12] = v[12]; 521 x[13] = v[13]; 522 x[14] = v[14]; 523 x[15] = v[15]; 524 x[16] = v[16]; 525 x[17] = v[17]; 526 x[18] = v[18]; 527 x[19] = v[19]; 528 x[20] = v[20]; 529 x[21] = v[21]; 530 x[22] = v[22]; 531 x[23] = v[23]; 532 x[24] = v[24]; 533 x[25] = v[25]; 534 x[26] = v[26]; 535 x[27] = v[27]; 536 x[28] = v[28]; 537 x[29] = v[29]; 538 x[30] = v[30]; 539 x[31] = v[31]; 540 x[32] = v[32]; 541 x[33] = v[33]; 542 x[34] = v[34]; 543 x[35] = v[35]; 544 v += 36; 545 } 546 row = *ajtmp++; 547 while (row < i) { 548 pc = rtmp + 36 * row; 549 p1 = pc[0]; 550 p2 = pc[1]; 551 p3 = pc[2]; 552 p4 = pc[3]; 553 p5 = pc[4]; 554 p6 = pc[5]; 555 p7 = pc[6]; 556 p8 = pc[7]; 557 p9 = pc[8]; 558 p10 = pc[9]; 559 p11 = pc[10]; 560 p12 = pc[11]; 561 p13 = pc[12]; 562 p14 = pc[13]; 563 p15 = pc[14]; 564 p16 = pc[15]; 565 p17 = pc[16]; 566 p18 = pc[17]; 567 p19 = pc[18]; 568 p20 = pc[19]; 569 p21 = pc[20]; 570 p22 = pc[21]; 571 p23 = pc[22]; 572 p24 = pc[23]; 573 p25 = pc[24]; 574 p26 = pc[25]; 575 p27 = pc[26]; 576 p28 = pc[27]; 577 p29 = pc[28]; 578 p30 = pc[29]; 579 p31 = pc[30]; 580 p32 = pc[31]; 581 p33 = pc[32]; 582 p34 = pc[33]; 583 p35 = pc[34]; 584 p36 = pc[35]; 585 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) { 586 pv = ba + 36 * diag_offset[row]; 587 pj = bj + diag_offset[row] + 1; 588 x1 = pv[0]; 589 x2 = pv[1]; 590 x3 = pv[2]; 591 x4 = pv[3]; 592 x5 = pv[4]; 593 x6 = pv[5]; 594 x7 = pv[6]; 595 x8 = pv[7]; 596 x9 = pv[8]; 597 x10 = pv[9]; 598 x11 = pv[10]; 599 x12 = pv[11]; 600 x13 = pv[12]; 601 x14 = pv[13]; 602 x15 = pv[14]; 603 x16 = pv[15]; 604 x17 = pv[16]; 605 x18 = pv[17]; 606 x19 = pv[18]; 607 x20 = pv[19]; 608 x21 = pv[20]; 609 x22 = pv[21]; 610 x23 = pv[22]; 611 x24 = pv[23]; 612 x25 = pv[24]; 613 x26 = pv[25]; 614 x27 = pv[26]; 615 x28 = pv[27]; 616 x29 = pv[28]; 617 x30 = pv[29]; 618 x31 = pv[30]; 619 x32 = pv[31]; 620 x33 = pv[32]; 621 x34 = pv[33]; 622 x35 = pv[34]; 623 x36 = pv[35]; 624 pc[0] = m1 = p1 * x1 + p7 * x2 + p13 * x3 + p19 * x4 + p25 * x5 + p31 * x6; 625 pc[1] = m2 = p2 * x1 + p8 * x2 + p14 * x3 + p20 * x4 + p26 * x5 + p32 * x6; 626 pc[2] = m3 = p3 * x1 + p9 * x2 + p15 * x3 + p21 * x4 + p27 * x5 + p33 * x6; 627 pc[3] = m4 = p4 * x1 + p10 * x2 + p16 * x3 + p22 * x4 + p28 * x5 + p34 * x6; 628 pc[4] = m5 = p5 * x1 + p11 * x2 + p17 * x3 + p23 * x4 + p29 * x5 + p35 * x6; 629 pc[5] = m6 = p6 * x1 + p12 * x2 + p18 * x3 + p24 * x4 + p30 * x5 + p36 * x6; 630 631 pc[6] = m7 = p1 * x7 + p7 * x8 + p13 * x9 + p19 * x10 + p25 * x11 + p31 * x12; 632 pc[7] = m8 = p2 * x7 + p8 * x8 + p14 * x9 + p20 * x10 + p26 * x11 + p32 * x12; 633 pc[8] = m9 = p3 * x7 + p9 * x8 + p15 * x9 + p21 * x10 + p27 * x11 + p33 * x12; 634 pc[9] = m10 = p4 * x7 + p10 * x8 + p16 * x9 + p22 * x10 + p28 * x11 + p34 * x12; 635 pc[10] = m11 = p5 * x7 + p11 * x8 + p17 * x9 + p23 * x10 + p29 * x11 + p35 * x12; 636 pc[11] = m12 = p6 * x7 + p12 * x8 + p18 * x9 + p24 * x10 + p30 * x11 + p36 * x12; 637 638 pc[12] = m13 = p1 * x13 + p7 * x14 + p13 * x15 + p19 * x16 + p25 * x17 + p31 * x18; 639 pc[13] = m14 = p2 * x13 + p8 * x14 + p14 * x15 + p20 * x16 + p26 * x17 + p32 * x18; 640 pc[14] = m15 = p3 * x13 + p9 * x14 + p15 * x15 + p21 * x16 + p27 * x17 + p33 * x18; 641 pc[15] = m16 = p4 * x13 + p10 * x14 + p16 * x15 + p22 * x16 + p28 * x17 + p34 * x18; 642 pc[16] = m17 = p5 * x13 + p11 * x14 + p17 * x15 + p23 * x16 + p29 * x17 + p35 * x18; 643 pc[17] = m18 = p6 * x13 + p12 * x14 + p18 * x15 + p24 * x16 + p30 * x17 + p36 * x18; 644 645 pc[18] = m19 = p1 * x19 + p7 * x20 + p13 * x21 + p19 * x22 + p25 * x23 + p31 * x24; 646 pc[19] = m20 = p2 * x19 + p8 * x20 + p14 * x21 + p20 * x22 + p26 * x23 + p32 * x24; 647 pc[20] = m21 = p3 * x19 + p9 * x20 + p15 * x21 + p21 * x22 + p27 * x23 + p33 * x24; 648 pc[21] = m22 = p4 * x19 + p10 * x20 + p16 * x21 + p22 * x22 + p28 * x23 + p34 * x24; 649 pc[22] = m23 = p5 * x19 + p11 * x20 + p17 * x21 + p23 * x22 + p29 * x23 + p35 * x24; 650 pc[23] = m24 = p6 * x19 + p12 * x20 + p18 * x21 + p24 * x22 + p30 * x23 + p36 * x24; 651 652 pc[24] = m25 = p1 * x25 + p7 * x26 + p13 * x27 + p19 * x28 + p25 * x29 + p31 * x30; 653 pc[25] = m26 = p2 * x25 + p8 * x26 + p14 * x27 + p20 * x28 + p26 * x29 + p32 * x30; 654 pc[26] = m27 = p3 * x25 + p9 * x26 + p15 * x27 + p21 * x28 + p27 * x29 + p33 * x30; 655 pc[27] = m28 = p4 * x25 + p10 * x26 + p16 * x27 + p22 * x28 + p28 * x29 + p34 * x30; 656 pc[28] = m29 = p5 * x25 + p11 * x26 + p17 * x27 + p23 * x28 + p29 * x29 + p35 * x30; 657 pc[29] = m30 = p6 * x25 + p12 * x26 + p18 * x27 + p24 * x28 + p30 * x29 + p36 * x30; 658 659 pc[30] = m31 = p1 * x31 + p7 * x32 + p13 * x33 + p19 * x34 + p25 * x35 + p31 * x36; 660 pc[31] = m32 = p2 * x31 + p8 * x32 + p14 * x33 + p20 * x34 + p26 * x35 + p32 * x36; 661 pc[32] = m33 = p3 * x31 + p9 * x32 + p15 * x33 + p21 * x34 + p27 * x35 + p33 * x36; 662 pc[33] = m34 = p4 * x31 + p10 * x32 + p16 * x33 + p22 * x34 + p28 * x35 + p34 * x36; 663 pc[34] = m35 = p5 * x31 + p11 * x32 + p17 * x33 + p23 * x34 + p29 * x35 + p35 * x36; 664 pc[35] = m36 = p6 * x31 + p12 * x32 + p18 * x33 + p24 * x34 + p30 * x35 + p36 * x36; 665 666 nz = bi[row + 1] - diag_offset[row] - 1; 667 pv += 36; 668 for (j = 0; j < nz; j++) { 669 x1 = pv[0]; 670 x2 = pv[1]; 671 x3 = pv[2]; 672 x4 = pv[3]; 673 x5 = pv[4]; 674 x6 = pv[5]; 675 x7 = pv[6]; 676 x8 = pv[7]; 677 x9 = pv[8]; 678 x10 = pv[9]; 679 x11 = pv[10]; 680 x12 = pv[11]; 681 x13 = pv[12]; 682 x14 = pv[13]; 683 x15 = pv[14]; 684 x16 = pv[15]; 685 x17 = pv[16]; 686 x18 = pv[17]; 687 x19 = pv[18]; 688 x20 = pv[19]; 689 x21 = pv[20]; 690 x22 = pv[21]; 691 x23 = pv[22]; 692 x24 = pv[23]; 693 x25 = pv[24]; 694 x26 = pv[25]; 695 x27 = pv[26]; 696 x28 = pv[27]; 697 x29 = pv[28]; 698 x30 = pv[29]; 699 x31 = pv[30]; 700 x32 = pv[31]; 701 x33 = pv[32]; 702 x34 = pv[33]; 703 x35 = pv[34]; 704 x36 = pv[35]; 705 x = rtmp + 36 * pj[j]; 706 x[0] -= m1 * x1 + m7 * x2 + m13 * x3 + m19 * x4 + m25 * x5 + m31 * x6; 707 x[1] -= m2 * x1 + m8 * x2 + m14 * x3 + m20 * x4 + m26 * x5 + m32 * x6; 708 x[2] -= m3 * x1 + m9 * x2 + m15 * x3 + m21 * x4 + m27 * x5 + m33 * x6; 709 x[3] -= m4 * x1 + m10 * x2 + m16 * x3 + m22 * x4 + m28 * x5 + m34 * x6; 710 x[4] -= m5 * x1 + m11 * x2 + m17 * x3 + m23 * x4 + m29 * x5 + m35 * x6; 711 x[5] -= m6 * x1 + m12 * x2 + m18 * x3 + m24 * x4 + m30 * x5 + m36 * x6; 712 713 x[6] -= m1 * x7 + m7 * x8 + m13 * x9 + m19 * x10 + m25 * x11 + m31 * x12; 714 x[7] -= m2 * x7 + m8 * x8 + m14 * x9 + m20 * x10 + m26 * x11 + m32 * x12; 715 x[8] -= m3 * x7 + m9 * x8 + m15 * x9 + m21 * x10 + m27 * x11 + m33 * x12; 716 x[9] -= m4 * x7 + m10 * x8 + m16 * x9 + m22 * x10 + m28 * x11 + m34 * x12; 717 x[10] -= m5 * x7 + m11 * x8 + m17 * x9 + m23 * x10 + m29 * x11 + m35 * x12; 718 x[11] -= m6 * x7 + m12 * x8 + m18 * x9 + m24 * x10 + m30 * x11 + m36 * x12; 719 720 x[12] -= m1 * x13 + m7 * x14 + m13 * x15 + m19 * x16 + m25 * x17 + m31 * x18; 721 x[13] -= m2 * x13 + m8 * x14 + m14 * x15 + m20 * x16 + m26 * x17 + m32 * x18; 722 x[14] -= m3 * x13 + m9 * x14 + m15 * x15 + m21 * x16 + m27 * x17 + m33 * x18; 723 x[15] -= m4 * x13 + m10 * x14 + m16 * x15 + m22 * x16 + m28 * x17 + m34 * x18; 724 x[16] -= m5 * x13 + m11 * x14 + m17 * x15 + m23 * x16 + m29 * x17 + m35 * x18; 725 x[17] -= m6 * x13 + m12 * x14 + m18 * x15 + m24 * x16 + m30 * x17 + m36 * x18; 726 727 x[18] -= m1 * x19 + m7 * x20 + m13 * x21 + m19 * x22 + m25 * x23 + m31 * x24; 728 x[19] -= m2 * x19 + m8 * x20 + m14 * x21 + m20 * x22 + m26 * x23 + m32 * x24; 729 x[20] -= m3 * x19 + m9 * x20 + m15 * x21 + m21 * x22 + m27 * x23 + m33 * x24; 730 x[21] -= m4 * x19 + m10 * x20 + m16 * x21 + m22 * x22 + m28 * x23 + m34 * x24; 731 x[22] -= m5 * x19 + m11 * x20 + m17 * x21 + m23 * x22 + m29 * x23 + m35 * x24; 732 x[23] -= m6 * x19 + m12 * x20 + m18 * x21 + m24 * x22 + m30 * x23 + m36 * x24; 733 734 x[24] -= m1 * x25 + m7 * x26 + m13 * x27 + m19 * x28 + m25 * x29 + m31 * x30; 735 x[25] -= m2 * x25 + m8 * x26 + m14 * x27 + m20 * x28 + m26 * x29 + m32 * x30; 736 x[26] -= m3 * x25 + m9 * x26 + m15 * x27 + m21 * x28 + m27 * x29 + m33 * x30; 737 x[27] -= m4 * x25 + m10 * x26 + m16 * x27 + m22 * x28 + m28 * x29 + m34 * x30; 738 x[28] -= m5 * x25 + m11 * x26 + m17 * x27 + m23 * x28 + m29 * x29 + m35 * x30; 739 x[29] -= m6 * x25 + m12 * x26 + m18 * x27 + m24 * x28 + m30 * x29 + m36 * x30; 740 741 x[30] -= m1 * x31 + m7 * x32 + m13 * x33 + m19 * x34 + m25 * x35 + m31 * x36; 742 x[31] -= m2 * x31 + m8 * x32 + m14 * x33 + m20 * x34 + m26 * x35 + m32 * x36; 743 x[32] -= m3 * x31 + m9 * x32 + m15 * x33 + m21 * x34 + m27 * x35 + m33 * x36; 744 x[33] -= m4 * x31 + m10 * x32 + m16 * x33 + m22 * x34 + m28 * x35 + m34 * x36; 745 x[34] -= m5 * x31 + m11 * x32 + m17 * x33 + m23 * x34 + m29 * x35 + m35 * x36; 746 x[35] -= m6 * x31 + m12 * x32 + m18 * x33 + m24 * x34 + m30 * x35 + m36 * x36; 747 748 pv += 36; 749 } 750 PetscCall(PetscLogFlops(432.0 * nz + 396.0)); 751 } 752 row = *ajtmp++; 753 } 754 /* finished row so stick it into b->a */ 755 pv = ba + 36 * bi[i]; 756 pj = bj + bi[i]; 757 nz = bi[i + 1] - bi[i]; 758 for (j = 0; j < nz; j++) { 759 x = rtmp + 36 * pj[j]; 760 pv[0] = x[0]; 761 pv[1] = x[1]; 762 pv[2] = x[2]; 763 pv[3] = x[3]; 764 pv[4] = x[4]; 765 pv[5] = x[5]; 766 pv[6] = x[6]; 767 pv[7] = x[7]; 768 pv[8] = x[8]; 769 pv[9] = x[9]; 770 pv[10] = x[10]; 771 pv[11] = x[11]; 772 pv[12] = x[12]; 773 pv[13] = x[13]; 774 pv[14] = x[14]; 775 pv[15] = x[15]; 776 pv[16] = x[16]; 777 pv[17] = x[17]; 778 pv[18] = x[18]; 779 pv[19] = x[19]; 780 pv[20] = x[20]; 781 pv[21] = x[21]; 782 pv[22] = x[22]; 783 pv[23] = x[23]; 784 pv[24] = x[24]; 785 pv[25] = x[25]; 786 pv[26] = x[26]; 787 pv[27] = x[27]; 788 pv[28] = x[28]; 789 pv[29] = x[29]; 790 pv[30] = x[30]; 791 pv[31] = x[31]; 792 pv[32] = x[32]; 793 pv[33] = x[33]; 794 pv[34] = x[34]; 795 pv[35] = x[35]; 796 pv += 36; 797 } 798 /* invert diagonal block */ 799 w = ba + 36 * diag_offset[i]; 800 PetscCall(PetscKernel_A_gets_inverse_A_6(w, shift, allowzeropivot, &zeropivotdetected)); 801 if (zeropivotdetected) C->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 802 } 803 804 PetscCall(PetscFree(rtmp)); 805 806 C->ops->solve = MatSolve_SeqBAIJ_6_NaturalOrdering_inplace; 807 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_6_NaturalOrdering_inplace; 808 C->assembled = PETSC_TRUE; 809 810 PetscCall(PetscLogFlops(1.333333333333 * 6 * 6 * 6 * b->mbs)); /* from inverting diagonal blocks */ 811 PetscFunctionReturn(0); 812 } 813 814 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering(Mat B, Mat A, const MatFactorInfo *info) 815 { 816 Mat C = B; 817 Mat_SeqBAIJ *a = (Mat_SeqBAIJ *)A->data, *b = (Mat_SeqBAIJ *)C->data; 818 PetscInt i, j, k, nz, nzL, row; 819 const PetscInt n = a->mbs, *ai = a->i, *aj = a->j, *bi = b->i, *bj = b->j; 820 const PetscInt *ajtmp, *bjtmp, *bdiag = b->diag, *pj, bs2 = a->bs2; 821 MatScalar *rtmp, *pc, *mwork, *v, *pv, *aa = a->a; 822 PetscInt flg; 823 PetscReal shift = info->shiftamount; 824 PetscBool allowzeropivot, zeropivotdetected; 825 826 PetscFunctionBegin; 827 allowzeropivot = PetscNot(A->erroriffailure); 828 829 /* generate work space needed by the factorization */ 830 PetscCall(PetscMalloc2(bs2 * n, &rtmp, bs2, &mwork)); 831 PetscCall(PetscArrayzero(rtmp, bs2 * n)); 832 833 for (i = 0; i < n; i++) { 834 /* zero rtmp */ 835 /* L part */ 836 nz = bi[i + 1] - bi[i]; 837 bjtmp = bj + bi[i]; 838 for (j = 0; j < nz; j++) PetscCall(PetscArrayzero(rtmp + bs2 * bjtmp[j], bs2)); 839 840 /* U part */ 841 nz = bdiag[i] - bdiag[i + 1]; 842 bjtmp = bj + bdiag[i + 1] + 1; 843 for (j = 0; j < nz; j++) PetscCall(PetscArrayzero(rtmp + bs2 * bjtmp[j], bs2)); 844 845 /* load in initial (unfactored row) */ 846 nz = ai[i + 1] - ai[i]; 847 ajtmp = aj + ai[i]; 848 v = aa + bs2 * ai[i]; 849 for (j = 0; j < nz; j++) PetscCall(PetscArraycpy(rtmp + bs2 * ajtmp[j], v + bs2 * j, bs2)); 850 851 /* elimination */ 852 bjtmp = bj + bi[i]; 853 nzL = bi[i + 1] - bi[i]; 854 for (k = 0; k < nzL; k++) { 855 row = bjtmp[k]; 856 pc = rtmp + bs2 * row; 857 for (flg = 0, j = 0; j < bs2; j++) { 858 if (pc[j] != 0.0) { 859 flg = 1; 860 break; 861 } 862 } 863 if (flg) { 864 pv = b->a + bs2 * bdiag[row]; 865 /* PetscKernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 866 PetscCall(PetscKernel_A_gets_A_times_B_6(pc, pv, mwork)); 867 868 pj = b->j + bdiag[row + 1] + 1; /* beginning of U(row,:) */ 869 pv = b->a + bs2 * (bdiag[row + 1] + 1); 870 nz = bdiag[row] - bdiag[row + 1] - 1; /* num of entries inU(row,:), excluding diag */ 871 for (j = 0; j < nz; j++) { 872 /* PetscKernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 873 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 874 v = rtmp + bs2 * pj[j]; 875 PetscCall(PetscKernel_A_gets_A_minus_B_times_C_6(v, pc, pv)); 876 pv += bs2; 877 } 878 PetscCall(PetscLogFlops(432.0 * nz + 396)); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 879 } 880 } 881 882 /* finished row so stick it into b->a */ 883 /* L part */ 884 pv = b->a + bs2 * bi[i]; 885 pj = b->j + bi[i]; 886 nz = bi[i + 1] - bi[i]; 887 for (j = 0; j < nz; j++) PetscCall(PetscArraycpy(pv + bs2 * j, rtmp + bs2 * pj[j], bs2)); 888 889 /* Mark diagonal and invert diagonal for simpler triangular solves */ 890 pv = b->a + bs2 * bdiag[i]; 891 pj = b->j + bdiag[i]; 892 PetscCall(PetscArraycpy(pv, rtmp + bs2 * pj[0], bs2)); 893 PetscCall(PetscKernel_A_gets_inverse_A_6(pv, shift, allowzeropivot, &zeropivotdetected)); 894 if (zeropivotdetected) C->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 895 896 /* U part */ 897 pv = b->a + bs2 * (bdiag[i + 1] + 1); 898 pj = b->j + bdiag[i + 1] + 1; 899 nz = bdiag[i] - bdiag[i + 1] - 1; 900 for (j = 0; j < nz; j++) PetscCall(PetscArraycpy(pv + bs2 * j, rtmp + bs2 * pj[j], bs2)); 901 } 902 PetscCall(PetscFree2(rtmp, mwork)); 903 904 C->ops->solve = MatSolve_SeqBAIJ_6_NaturalOrdering; 905 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_6_NaturalOrdering; 906 C->assembled = PETSC_TRUE; 907 908 PetscCall(PetscLogFlops(1.333333333333 * 6 * 6 * 6 * n)); /* from inverting diagonal blocks */ 909 PetscFunctionReturn(0); 910 } 911