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 5 by 5 11 */ 12 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_5_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 PetscErrorCode ierr; 17 const PetscInt *r,*ic,*bi = b->i,*bj = b->j,*ajtmpold,*ajtmp; 18 PetscInt i,j,n = a->mbs,nz,row,idx,ipvt[5]; 19 const PetscInt *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 20 MatScalar *w,*pv,*rtmp,*x,*pc; 21 const MatScalar *v,*aa = a->a; 22 MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 23 MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16; 24 MatScalar x17,x18,x19,x20,x21,x22,x23,x24,x25,p10,p11,p12,p13,p14; 25 MatScalar p15,p16,p17,p18,p19,p20,p21,p22,p23,p24,p25,m10,m11,m12; 26 MatScalar m13,m14,m15,m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 27 MatScalar *ba = b->a,work[25]; 28 PetscReal shift = info->shiftamount; 29 PetscBool allowzeropivot,zeropivotdetected; 30 31 PetscFunctionBegin; 32 allowzeropivot = PetscNot(A->erroriffailure); 33 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 34 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 35 ierr = PetscMalloc1(25*(n+1),&rtmp);CHKERRQ(ierr); 36 37 #define PETSC_USE_MEMZERO 1 38 #define PETSC_USE_MEMCPY 1 39 40 for (i=0; i<n; i++) { 41 nz = bi[i+1] - bi[i]; 42 ajtmp = bj + bi[i]; 43 for (j=0; j<nz; j++) { 44 #if defined(PETSC_USE_MEMZERO) 45 ierr = PetscArrayzero(rtmp+25*ajtmp[j],25);CHKERRQ(ierr); 46 #else 47 x = rtmp+25*ajtmp[j]; 48 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 49 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 50 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = 0.0; 51 #endif 52 } 53 /* load in initial (unfactored row) */ 54 idx = r[i]; 55 nz = ai[idx+1] - ai[idx]; 56 ajtmpold = aj + ai[idx]; 57 v = aa + 25*ai[idx]; 58 for (j=0; j<nz; j++) { 59 #if defined(PETSC_USE_MEMCPY) 60 ierr = PetscArraycpy(rtmp+25*ic[ajtmpold[j]],v,25);CHKERRQ(ierr); 61 #else 62 x = rtmp+25*ic[ajtmpold[j]]; 63 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 64 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 65 x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; x[12] = v[12]; x[13] = v[13]; 66 x[14] = v[14]; x[15] = v[15]; x[16] = v[16]; x[17] = v[17]; 67 x[18] = v[18]; x[19] = v[19]; x[20] = v[20]; x[21] = v[21]; 68 x[22] = v[22]; x[23] = v[23]; x[24] = v[24]; 69 #endif 70 v += 25; 71 } 72 row = *ajtmp++; 73 while (row < i) { 74 pc = rtmp + 25*row; 75 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 76 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 77 p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; p13 = pc[12]; p14 = pc[13]; 78 p15 = pc[14]; p16 = pc[15]; p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; 79 p20 = pc[19]; p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 80 p25 = pc[24]; 81 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 82 p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 || 83 p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0 84 || p16 != 0.0 || p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || 85 p20 != 0.0 || p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || 86 p24 != 0.0 || p25 != 0.0) { 87 pv = ba + 25*diag_offset[row]; 88 pj = bj + diag_offset[row] + 1; 89 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 90 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 91 x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; x14 = pv[13]; 92 x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; x18 = pv[17]; 93 x19 = pv[18]; x20 = pv[19]; x21 = pv[20]; x22 = pv[21]; 94 x23 = pv[22]; x24 = pv[23]; x25 = pv[24]; 95 pc[0] = m1 = p1*x1 + p6*x2 + p11*x3 + p16*x4 + p21*x5; 96 pc[1] = m2 = p2*x1 + p7*x2 + p12*x3 + p17*x4 + p22*x5; 97 pc[2] = m3 = p3*x1 + p8*x2 + p13*x3 + p18*x4 + p23*x5; 98 pc[3] = m4 = p4*x1 + p9*x2 + p14*x3 + p19*x4 + p24*x5; 99 pc[4] = m5 = p5*x1 + p10*x2 + p15*x3 + p20*x4 + p25*x5; 100 101 pc[5] = m6 = p1*x6 + p6*x7 + p11*x8 + p16*x9 + p21*x10; 102 pc[6] = m7 = p2*x6 + p7*x7 + p12*x8 + p17*x9 + p22*x10; 103 pc[7] = m8 = p3*x6 + p8*x7 + p13*x8 + p18*x9 + p23*x10; 104 pc[8] = m9 = p4*x6 + p9*x7 + p14*x8 + p19*x9 + p24*x10; 105 pc[9] = m10 = p5*x6 + p10*x7 + p15*x8 + p20*x9 + p25*x10; 106 107 pc[10] = m11 = p1*x11 + p6*x12 + p11*x13 + p16*x14 + p21*x15; 108 pc[11] = m12 = p2*x11 + p7*x12 + p12*x13 + p17*x14 + p22*x15; 109 pc[12] = m13 = p3*x11 + p8*x12 + p13*x13 + p18*x14 + p23*x15; 110 pc[13] = m14 = p4*x11 + p9*x12 + p14*x13 + p19*x14 + p24*x15; 111 pc[14] = m15 = p5*x11 + p10*x12 + p15*x13 + p20*x14 + p25*x15; 112 113 pc[15] = m16 = p1*x16 + p6*x17 + p11*x18 + p16*x19 + p21*x20; 114 pc[16] = m17 = p2*x16 + p7*x17 + p12*x18 + p17*x19 + p22*x20; 115 pc[17] = m18 = p3*x16 + p8*x17 + p13*x18 + p18*x19 + p23*x20; 116 pc[18] = m19 = p4*x16 + p9*x17 + p14*x18 + p19*x19 + p24*x20; 117 pc[19] = m20 = p5*x16 + p10*x17 + p15*x18 + p20*x19 + p25*x20; 118 119 pc[20] = m21 = p1*x21 + p6*x22 + p11*x23 + p16*x24 + p21*x25; 120 pc[21] = m22 = p2*x21 + p7*x22 + p12*x23 + p17*x24 + p22*x25; 121 pc[22] = m23 = p3*x21 + p8*x22 + p13*x23 + p18*x24 + p23*x25; 122 pc[23] = m24 = p4*x21 + p9*x22 + p14*x23 + p19*x24 + p24*x25; 123 pc[24] = m25 = p5*x21 + p10*x22 + p15*x23 + p20*x24 + p25*x25; 124 125 nz = bi[row+1] - diag_offset[row] - 1; 126 pv += 25; 127 for (j=0; j<nz; j++) { 128 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 129 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 130 x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; 131 x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; 132 x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; x21 = pv[20]; 133 x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; x25 = pv[24]; 134 x = rtmp + 25*pj[j]; 135 x[0] -= m1*x1 + m6*x2 + m11*x3 + m16*x4 + m21*x5; 136 x[1] -= m2*x1 + m7*x2 + m12*x3 + m17*x4 + m22*x5; 137 x[2] -= m3*x1 + m8*x2 + m13*x3 + m18*x4 + m23*x5; 138 x[3] -= m4*x1 + m9*x2 + m14*x3 + m19*x4 + m24*x5; 139 x[4] -= m5*x1 + m10*x2 + m15*x3 + m20*x4 + m25*x5; 140 141 x[5] -= m1*x6 + m6*x7 + m11*x8 + m16*x9 + m21*x10; 142 x[6] -= m2*x6 + m7*x7 + m12*x8 + m17*x9 + m22*x10; 143 x[7] -= m3*x6 + m8*x7 + m13*x8 + m18*x9 + m23*x10; 144 x[8] -= m4*x6 + m9*x7 + m14*x8 + m19*x9 + m24*x10; 145 x[9] -= m5*x6 + m10*x7 + m15*x8 + m20*x9 + m25*x10; 146 147 x[10] -= m1*x11 + m6*x12 + m11*x13 + m16*x14 + m21*x15; 148 x[11] -= m2*x11 + m7*x12 + m12*x13 + m17*x14 + m22*x15; 149 x[12] -= m3*x11 + m8*x12 + m13*x13 + m18*x14 + m23*x15; 150 x[13] -= m4*x11 + m9*x12 + m14*x13 + m19*x14 + m24*x15; 151 x[14] -= m5*x11 + m10*x12 + m15*x13 + m20*x14 + m25*x15; 152 153 x[15] -= m1*x16 + m6*x17 + m11*x18 + m16*x19 + m21*x20; 154 x[16] -= m2*x16 + m7*x17 + m12*x18 + m17*x19 + m22*x20; 155 x[17] -= m3*x16 + m8*x17 + m13*x18 + m18*x19 + m23*x20; 156 x[18] -= m4*x16 + m9*x17 + m14*x18 + m19*x19 + m24*x20; 157 x[19] -= m5*x16 + m10*x17 + m15*x18 + m20*x19 + m25*x20; 158 159 x[20] -= m1*x21 + m6*x22 + m11*x23 + m16*x24 + m21*x25; 160 x[21] -= m2*x21 + m7*x22 + m12*x23 + m17*x24 + m22*x25; 161 x[22] -= m3*x21 + m8*x22 + m13*x23 + m18*x24 + m23*x25; 162 x[23] -= m4*x21 + m9*x22 + m14*x23 + m19*x24 + m24*x25; 163 x[24] -= m5*x21 + m10*x22 + m15*x23 + m20*x24 + m25*x25; 164 165 pv += 25; 166 } 167 ierr = PetscLogFlops(250.0*nz+225.0);CHKERRQ(ierr); 168 } 169 row = *ajtmp++; 170 } 171 /* finished row so stick it into b->a */ 172 pv = ba + 25*bi[i]; 173 pj = bj + bi[i]; 174 nz = bi[i+1] - bi[i]; 175 for (j=0; j<nz; j++) { 176 #if defined(PETSC_USE_MEMCPY) 177 ierr = PetscArraycpy(pv,rtmp+25*pj[j],25);CHKERRQ(ierr); 178 #else 179 x = rtmp+25*pj[j]; 180 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 181 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 182 pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; pv[12] = x[12]; 183 pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; pv[16] = x[16]; 184 pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; pv[20] = x[20]; 185 pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; pv[24] = x[24]; 186 #endif 187 pv += 25; 188 } 189 /* invert diagonal block */ 190 w = ba + 25*diag_offset[i]; 191 ierr = PetscKernel_A_gets_inverse_A_5(w,ipvt,work,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr); 192 if (zeropivotdetected) C->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 193 } 194 195 ierr = PetscFree(rtmp);CHKERRQ(ierr); 196 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 197 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 198 199 C->ops->solve = MatSolve_SeqBAIJ_5_inplace; 200 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_5_inplace; 201 C->assembled = PETSC_TRUE; 202 203 ierr = PetscLogFlops(1.333333333333*5*5*5*b->mbs);CHKERRQ(ierr); /* from inverting diagonal blocks */ 204 PetscFunctionReturn(0); 205 } 206 207 /* MatLUFactorNumeric_SeqBAIJ_5 - 208 copied from MatLUFactorNumeric_SeqBAIJ_N_inplace() and manually re-implemented 209 PetscKernel_A_gets_A_times_B() 210 PetscKernel_A_gets_A_minus_B_times_C() 211 PetscKernel_A_gets_inverse_A() 212 */ 213 214 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_5(Mat B,Mat A,const MatFactorInfo *info) 215 { 216 Mat C =B; 217 Mat_SeqBAIJ *a =(Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ*)C->data; 218 IS isrow = b->row,isicol = b->icol; 219 PetscErrorCode ierr; 220 const PetscInt *r,*ic; 221 PetscInt i,j,k,nz,nzL,row; 222 const PetscInt n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j; 223 const PetscInt *ajtmp,*bjtmp,*bdiag=b->diag,*pj,bs2=a->bs2; 224 MatScalar *rtmp,*pc,*mwork,*v,*pv,*aa=a->a,work[25]; 225 PetscInt flg,ipvt[5]; 226 PetscReal shift = info->shiftamount; 227 PetscBool allowzeropivot,zeropivotdetected; 228 229 PetscFunctionBegin; 230 allowzeropivot = PetscNot(A->erroriffailure); 231 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 232 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 233 234 /* generate work space needed by the factorization */ 235 ierr = PetscMalloc2(bs2*n,&rtmp,bs2,&mwork);CHKERRQ(ierr); 236 ierr = PetscArrayzero(rtmp,bs2*n);CHKERRQ(ierr); 237 238 for (i=0; i<n; i++) { 239 /* zero rtmp */ 240 /* L part */ 241 nz = bi[i+1] - bi[i]; 242 bjtmp = bj + bi[i]; 243 for (j=0; j<nz; j++) { 244 ierr = PetscArrayzero(rtmp+bs2*bjtmp[j],bs2);CHKERRQ(ierr); 245 } 246 247 /* U part */ 248 nz = bdiag[i] - bdiag[i+1]; 249 bjtmp = bj + bdiag[i+1]+1; 250 for (j=0; j<nz; j++) { 251 ierr = PetscArrayzero(rtmp+bs2*bjtmp[j],bs2);CHKERRQ(ierr); 252 } 253 254 /* load in initial (unfactored row) */ 255 nz = ai[r[i]+1] - ai[r[i]]; 256 ajtmp = aj + ai[r[i]]; 257 v = aa + bs2*ai[r[i]]; 258 for (j=0; j<nz; j++) { 259 ierr = PetscArraycpy(rtmp+bs2*ic[ajtmp[j]],v+bs2*j,bs2);CHKERRQ(ierr); 260 } 261 262 /* elimination */ 263 bjtmp = bj + bi[i]; 264 nzL = bi[i+1] - bi[i]; 265 for (k=0; k < nzL; k++) { 266 row = bjtmp[k]; 267 pc = rtmp + bs2*row; 268 for (flg=0,j=0; j<bs2; j++) { 269 if (pc[j]!=0.0) { 270 flg = 1; 271 break; 272 } 273 } 274 if (flg) { 275 pv = b->a + bs2*bdiag[row]; 276 /* PetscKernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 277 ierr = PetscKernel_A_gets_A_times_B_5(pc,pv,mwork);CHKERRQ(ierr); 278 279 pj = b->j + bdiag[row+1]+1; /* beginning of U(row,:) */ 280 pv = b->a + bs2*(bdiag[row+1]+1); 281 nz = bdiag[row] - bdiag[row+1] - 1; /* num of entries inU(row,:), excluding diag */ 282 for (j=0; j<nz; j++) { 283 /* PetscKernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 284 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 285 v = rtmp + bs2*pj[j]; 286 ierr = PetscKernel_A_gets_A_minus_B_times_C_5(v,pc,pv);CHKERRQ(ierr); 287 pv += bs2; 288 } 289 ierr = PetscLogFlops(250.0*nz+225);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 290 } 291 } 292 293 /* finished row so stick it into b->a */ 294 /* L part */ 295 pv = b->a + bs2*bi[i]; 296 pj = b->j + bi[i]; 297 nz = bi[i+1] - bi[i]; 298 for (j=0; j<nz; j++) { 299 ierr = PetscArraycpy(pv+bs2*j,rtmp+bs2*pj[j],bs2);CHKERRQ(ierr); 300 } 301 302 /* Mark diagonal and invert diagonal for simpler triangular solves */ 303 pv = b->a + bs2*bdiag[i]; 304 pj = b->j + bdiag[i]; 305 ierr = PetscArraycpy(pv,rtmp+bs2*pj[0],bs2);CHKERRQ(ierr); 306 ierr = PetscKernel_A_gets_inverse_A_5(pv,ipvt,work,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr); 307 if (zeropivotdetected) C->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 308 309 /* U part */ 310 pv = b->a + bs2*(bdiag[i+1]+1); 311 pj = b->j + bdiag[i+1]+1; 312 nz = bdiag[i] - bdiag[i+1] - 1; 313 for (j=0; j<nz; j++) { 314 ierr = PetscArraycpy(pv+bs2*j,rtmp+bs2*pj[j],bs2);CHKERRQ(ierr); 315 } 316 } 317 318 ierr = PetscFree2(rtmp,mwork);CHKERRQ(ierr); 319 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 320 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 321 322 C->ops->solve = MatSolve_SeqBAIJ_5; 323 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_5; 324 C->assembled = PETSC_TRUE; 325 326 ierr = PetscLogFlops(1.333333333333*5*5*5*n);CHKERRQ(ierr); /* from inverting diagonal blocks */ 327 PetscFunctionReturn(0); 328 } 329 330 /* 331 Version for when blocks are 5 by 5 Using natural ordering 332 */ 333 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_5_NaturalOrdering_inplace(Mat C,Mat A,const MatFactorInfo *info) 334 { 335 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ*)C->data; 336 PetscErrorCode ierr; 337 PetscInt i,j,n = a->mbs,*bi = b->i,*bj = b->j,ipvt[5]; 338 PetscInt *ajtmpold,*ajtmp,nz,row; 339 PetscInt *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 340 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 341 MatScalar x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15; 342 MatScalar x16,x17,x18,x19,x20,x21,x22,x23,x24,x25; 343 MatScalar p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15; 344 MatScalar p16,p17,p18,p19,p20,p21,p22,p23,p24,p25; 345 MatScalar m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15; 346 MatScalar m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 347 MatScalar *ba = b->a,*aa = a->a,work[25]; 348 PetscReal shift = info->shiftamount; 349 PetscBool allowzeropivot,zeropivotdetected; 350 351 PetscFunctionBegin; 352 allowzeropivot = PetscNot(A->erroriffailure); 353 ierr = PetscMalloc1(25*(n+1),&rtmp);CHKERRQ(ierr); 354 for (i=0; i<n; i++) { 355 nz = bi[i+1] - bi[i]; 356 ajtmp = bj + bi[i]; 357 for (j=0; j<nz; j++) { 358 x = rtmp+25*ajtmp[j]; 359 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 360 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = 0.0; 361 x[16] = x[17] = x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = 0.0; 362 } 363 /* load in initial (unfactored row) */ 364 nz = ai[i+1] - ai[i]; 365 ajtmpold = aj + ai[i]; 366 v = aa + 25*ai[i]; 367 for (j=0; j<nz; j++) { 368 x = rtmp+25*ajtmpold[j]; 369 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 370 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 371 x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; x[12] = v[12]; x[13] = v[13]; 372 x[14] = v[14]; x[15] = v[15]; x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; 373 x[19] = v[19]; x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 374 x[24] = v[24]; 375 v += 25; 376 } 377 row = *ajtmp++; 378 while (row < i) { 379 pc = rtmp + 25*row; 380 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 381 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 382 p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; p13 = pc[12]; p14 = pc[13]; 383 p15 = pc[14]; p16 = pc[15]; p17 = pc[16]; p18 = pc[17]; 384 p19 = pc[18]; p20 = pc[19]; p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; 385 p24 = pc[23]; p25 = pc[24]; 386 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 387 p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 || 388 p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0 389 || p16 != 0.0 || p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 390 || p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || p25 != 0.0) { 391 pv = ba + 25*diag_offset[row]; 392 pj = bj + diag_offset[row] + 1; 393 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 394 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 395 x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; x14 = pv[13]; 396 x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; 397 x20 = pv[19]; x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 398 x25 = pv[24]; 399 pc[0] = m1 = p1*x1 + p6*x2 + p11*x3 + p16*x4 + p21*x5; 400 pc[1] = m2 = p2*x1 + p7*x2 + p12*x3 + p17*x4 + p22*x5; 401 pc[2] = m3 = p3*x1 + p8*x2 + p13*x3 + p18*x4 + p23*x5; 402 pc[3] = m4 = p4*x1 + p9*x2 + p14*x3 + p19*x4 + p24*x5; 403 pc[4] = m5 = p5*x1 + p10*x2 + p15*x3 + p20*x4 + p25*x5; 404 405 pc[5] = m6 = p1*x6 + p6*x7 + p11*x8 + p16*x9 + p21*x10; 406 pc[6] = m7 = p2*x6 + p7*x7 + p12*x8 + p17*x9 + p22*x10; 407 pc[7] = m8 = p3*x6 + p8*x7 + p13*x8 + p18*x9 + p23*x10; 408 pc[8] = m9 = p4*x6 + p9*x7 + p14*x8 + p19*x9 + p24*x10; 409 pc[9] = m10 = p5*x6 + p10*x7 + p15*x8 + p20*x9 + p25*x10; 410 411 pc[10] = m11 = p1*x11 + p6*x12 + p11*x13 + p16*x14 + p21*x15; 412 pc[11] = m12 = p2*x11 + p7*x12 + p12*x13 + p17*x14 + p22*x15; 413 pc[12] = m13 = p3*x11 + p8*x12 + p13*x13 + p18*x14 + p23*x15; 414 pc[13] = m14 = p4*x11 + p9*x12 + p14*x13 + p19*x14 + p24*x15; 415 pc[14] = m15 = p5*x11 + p10*x12 + p15*x13 + p20*x14 + p25*x15; 416 417 pc[15] = m16 = p1*x16 + p6*x17 + p11*x18 + p16*x19 + p21*x20; 418 pc[16] = m17 = p2*x16 + p7*x17 + p12*x18 + p17*x19 + p22*x20; 419 pc[17] = m18 = p3*x16 + p8*x17 + p13*x18 + p18*x19 + p23*x20; 420 pc[18] = m19 = p4*x16 + p9*x17 + p14*x18 + p19*x19 + p24*x20; 421 pc[19] = m20 = p5*x16 + p10*x17 + p15*x18 + p20*x19 + p25*x20; 422 423 pc[20] = m21 = p1*x21 + p6*x22 + p11*x23 + p16*x24 + p21*x25; 424 pc[21] = m22 = p2*x21 + p7*x22 + p12*x23 + p17*x24 + p22*x25; 425 pc[22] = m23 = p3*x21 + p8*x22 + p13*x23 + p18*x24 + p23*x25; 426 pc[23] = m24 = p4*x21 + p9*x22 + p14*x23 + p19*x24 + p24*x25; 427 pc[24] = m25 = p5*x21 + p10*x22 + p15*x23 + p20*x24 + p25*x25; 428 429 nz = bi[row+1] - diag_offset[row] - 1; 430 pv += 25; 431 for (j=0; j<nz; j++) { 432 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 433 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 434 x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; 435 x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; x18 = pv[17]; 436 x19 = pv[18]; x20 = pv[19]; x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; 437 x24 = pv[23]; x25 = pv[24]; 438 x = rtmp + 25*pj[j]; 439 x[0] -= m1*x1 + m6*x2 + m11*x3 + m16*x4 + m21*x5; 440 x[1] -= m2*x1 + m7*x2 + m12*x3 + m17*x4 + m22*x5; 441 x[2] -= m3*x1 + m8*x2 + m13*x3 + m18*x4 + m23*x5; 442 x[3] -= m4*x1 + m9*x2 + m14*x3 + m19*x4 + m24*x5; 443 x[4] -= m5*x1 + m10*x2 + m15*x3 + m20*x4 + m25*x5; 444 445 x[5] -= m1*x6 + m6*x7 + m11*x8 + m16*x9 + m21*x10; 446 x[6] -= m2*x6 + m7*x7 + m12*x8 + m17*x9 + m22*x10; 447 x[7] -= m3*x6 + m8*x7 + m13*x8 + m18*x9 + m23*x10; 448 x[8] -= m4*x6 + m9*x7 + m14*x8 + m19*x9 + m24*x10; 449 x[9] -= m5*x6 + m10*x7 + m15*x8 + m20*x9 + m25*x10; 450 451 x[10] -= m1*x11 + m6*x12 + m11*x13 + m16*x14 + m21*x15; 452 x[11] -= m2*x11 + m7*x12 + m12*x13 + m17*x14 + m22*x15; 453 x[12] -= m3*x11 + m8*x12 + m13*x13 + m18*x14 + m23*x15; 454 x[13] -= m4*x11 + m9*x12 + m14*x13 + m19*x14 + m24*x15; 455 x[14] -= m5*x11 + m10*x12 + m15*x13 + m20*x14 + m25*x15; 456 457 x[15] -= m1*x16 + m6*x17 + m11*x18 + m16*x19 + m21*x20; 458 x[16] -= m2*x16 + m7*x17 + m12*x18 + m17*x19 + m22*x20; 459 x[17] -= m3*x16 + m8*x17 + m13*x18 + m18*x19 + m23*x20; 460 x[18] -= m4*x16 + m9*x17 + m14*x18 + m19*x19 + m24*x20; 461 x[19] -= m5*x16 + m10*x17 + m15*x18 + m20*x19 + m25*x20; 462 463 x[20] -= m1*x21 + m6*x22 + m11*x23 + m16*x24 + m21*x25; 464 x[21] -= m2*x21 + m7*x22 + m12*x23 + m17*x24 + m22*x25; 465 x[22] -= m3*x21 + m8*x22 + m13*x23 + m18*x24 + m23*x25; 466 x[23] -= m4*x21 + m9*x22 + m14*x23 + m19*x24 + m24*x25; 467 x[24] -= m5*x21 + m10*x22 + m15*x23 + m20*x24 + m25*x25; 468 pv += 25; 469 } 470 ierr = PetscLogFlops(250.0*nz+225.0);CHKERRQ(ierr); 471 } 472 row = *ajtmp++; 473 } 474 /* finished row so stick it into b->a */ 475 pv = ba + 25*bi[i]; 476 pj = bj + bi[i]; 477 nz = bi[i+1] - bi[i]; 478 for (j=0; j<nz; j++) { 479 x = rtmp+25*pj[j]; 480 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 481 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 482 pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; pv[12] = x[12]; 483 pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; pv[16] = x[16]; pv[17] = x[17]; 484 pv[18] = x[18]; pv[19] = x[19]; pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; 485 pv[23] = x[23]; pv[24] = x[24]; 486 pv += 25; 487 } 488 /* invert diagonal block */ 489 w = ba + 25*diag_offset[i]; 490 ierr = PetscKernel_A_gets_inverse_A_5(w,ipvt,work,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr); 491 if (zeropivotdetected) C->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 492 } 493 494 ierr = PetscFree(rtmp);CHKERRQ(ierr); 495 496 C->ops->solve = MatSolve_SeqBAIJ_5_NaturalOrdering_inplace; 497 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_5_NaturalOrdering_inplace; 498 C->assembled = PETSC_TRUE; 499 500 ierr = PetscLogFlops(1.333333333333*5*5*5*b->mbs);CHKERRQ(ierr); /* from inverting diagonal blocks */ 501 PetscFunctionReturn(0); 502 } 503 504 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_5_NaturalOrdering(Mat B,Mat A,const MatFactorInfo *info) 505 { 506 Mat C =B; 507 Mat_SeqBAIJ *a=(Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ*)C->data; 508 PetscErrorCode ierr; 509 PetscInt i,j,k,nz,nzL,row; 510 const PetscInt n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j; 511 const PetscInt *ajtmp,*bjtmp,*bdiag=b->diag,*pj,bs2=a->bs2; 512 MatScalar *rtmp,*pc,*mwork,*v,*vv,*pv,*aa=a->a,work[25]; 513 PetscInt flg,ipvt[5]; 514 PetscReal shift = info->shiftamount; 515 PetscBool allowzeropivot,zeropivotdetected; 516 517 PetscFunctionBegin; 518 allowzeropivot = PetscNot(A->erroriffailure); 519 520 /* generate work space needed by the factorization */ 521 ierr = PetscMalloc2(bs2*n,&rtmp,bs2,&mwork);CHKERRQ(ierr); 522 ierr = PetscArrayzero(rtmp,bs2*n);CHKERRQ(ierr); 523 524 for (i=0; i<n; i++) { 525 /* zero rtmp */ 526 /* L part */ 527 nz = bi[i+1] - bi[i]; 528 bjtmp = bj + bi[i]; 529 for (j=0; j<nz; j++) { 530 ierr = PetscArrayzero(rtmp+bs2*bjtmp[j],bs2);CHKERRQ(ierr); 531 } 532 533 /* U part */ 534 nz = bdiag[i] - bdiag[i+1]; 535 bjtmp = bj + bdiag[i+1]+1; 536 for (j=0; j<nz; j++) { 537 ierr = PetscArrayzero(rtmp+bs2*bjtmp[j],bs2);CHKERRQ(ierr); 538 } 539 540 /* load in initial (unfactored row) */ 541 nz = ai[i+1] - ai[i]; 542 ajtmp = aj + ai[i]; 543 v = aa + bs2*ai[i]; 544 for (j=0; j<nz; j++) { 545 ierr = PetscArraycpy(rtmp+bs2*ajtmp[j],v+bs2*j,bs2);CHKERRQ(ierr); 546 } 547 548 /* elimination */ 549 bjtmp = bj + bi[i]; 550 nzL = bi[i+1] - bi[i]; 551 for (k=0; k < nzL; k++) { 552 row = bjtmp[k]; 553 pc = rtmp + bs2*row; 554 for (flg=0,j=0; j<bs2; j++) { 555 if (pc[j]!=0.0) { 556 flg = 1; 557 break; 558 } 559 } 560 if (flg) { 561 pv = b->a + bs2*bdiag[row]; 562 /* PetscKernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 563 ierr = PetscKernel_A_gets_A_times_B_5(pc,pv,mwork);CHKERRQ(ierr); 564 565 pj = b->j + bdiag[row+1]+1; /* beginning of U(row,:) */ 566 pv = b->a + bs2*(bdiag[row+1]+1); 567 nz = bdiag[row] - bdiag[row+1] - 1; /* num of entries inU(row,:), excluding diag */ 568 for (j=0; j<nz; j++) { 569 /* PetscKernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 570 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 571 vv = rtmp + bs2*pj[j]; 572 ierr = PetscKernel_A_gets_A_minus_B_times_C_5(vv,pc,pv);CHKERRQ(ierr); 573 pv += bs2; 574 } 575 ierr = PetscLogFlops(250.0*nz+225);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 576 } 577 } 578 579 /* finished row so stick it into b->a */ 580 /* L part */ 581 pv = b->a + bs2*bi[i]; 582 pj = b->j + bi[i]; 583 nz = bi[i+1] - bi[i]; 584 for (j=0; j<nz; j++) { 585 ierr = PetscArraycpy(pv+bs2*j,rtmp+bs2*pj[j],bs2);CHKERRQ(ierr); 586 } 587 588 /* Mark diagonal and invert diagonal for simpler triangular solves */ 589 pv = b->a + bs2*bdiag[i]; 590 pj = b->j + bdiag[i]; 591 ierr = PetscArraycpy(pv,rtmp+bs2*pj[0],bs2);CHKERRQ(ierr); 592 ierr = PetscKernel_A_gets_inverse_A_5(pv,ipvt,work,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr); 593 if (zeropivotdetected) C->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 594 595 /* U part */ 596 pv = b->a + bs2*(bdiag[i+1]+1); 597 pj = b->j + bdiag[i+1]+1; 598 nz = bdiag[i] - bdiag[i+1] - 1; 599 for (j=0; j<nz; j++) { 600 ierr = PetscArraycpy(pv+bs2*j,rtmp+bs2*pj[j],bs2);CHKERRQ(ierr); 601 } 602 } 603 ierr = PetscFree2(rtmp,mwork);CHKERRQ(ierr); 604 605 C->ops->solve = MatSolve_SeqBAIJ_5_NaturalOrdering; 606 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_5_NaturalOrdering; 607 C->assembled = PETSC_TRUE; 608 609 ierr = PetscLogFlops(1.333333333333*5*5*5*n);CHKERRQ(ierr); /* from inverting diagonal blocks */ 610 PetscFunctionReturn(0); 611 } 612