1 #define PETSCMAT_DLL 2 3 /* 4 Factorization code for BAIJ format. 5 */ 6 #include "../src/mat/impls/baij/seq/baij.h" 7 #include "../src/mat/blockinvert.h" 8 9 /* ------------------------------------------------------------*/ 10 /* 11 Version for when blocks are 5 by 5 12 */ 13 #undef __FUNCT__ 14 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_5_inplace" 15 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_5_inplace(Mat C,Mat A,const MatFactorInfo *info) 16 { 17 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 18 IS isrow = b->row,isicol = b->icol; 19 PetscErrorCode ierr; 20 const PetscInt *r,*ic,*bi = b->i,*bj = b->j,*ajtmpold,*ajtmp; 21 PetscInt i,j,n = a->mbs,nz,row,idx,ipvt[5]; 22 const PetscInt *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 23 MatScalar *w,*pv,*rtmp,*x,*pc; 24 const MatScalar *v,*aa = a->a; 25 MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 26 MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16; 27 MatScalar x17,x18,x19,x20,x21,x22,x23,x24,x25,p10,p11,p12,p13,p14; 28 MatScalar p15,p16,p17,p18,p19,p20,p21,p22,p23,p24,p25,m10,m11,m12; 29 MatScalar m13,m14,m15,m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 30 MatScalar *ba = b->a,work[25]; 31 PetscReal shift = info->shiftamount; 32 33 PetscFunctionBegin; 34 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 35 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 36 ierr = PetscMalloc(25*(n+1)*sizeof(MatScalar),&rtmp);CHKERRQ(ierr); 37 38 #define PETSC_USE_MEMZERO 1 39 #define PETSC_USE_MEMCPY 1 40 41 for (i=0; i<n; i++) { 42 nz = bi[i+1] - bi[i]; 43 ajtmp = bj + bi[i]; 44 for (j=0; j<nz; j++) { 45 #if defined(PETSC_USE_MEMZERO) 46 ierr = PetscMemzero(rtmp+25*ajtmp[j],25*sizeof(PetscScalar));CHKERRQ(ierr); 47 #else 48 x = rtmp+25*ajtmp[j]; 49 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 50 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 51 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = 0.0; 52 #endif 53 } 54 /* load in initial (unfactored row) */ 55 idx = r[i]; 56 nz = ai[idx+1] - ai[idx]; 57 ajtmpold = aj + ai[idx]; 58 v = aa + 25*ai[idx]; 59 for (j=0; j<nz; j++) { 60 #if defined(PETSC_USE_MEMCPY) 61 ierr = PetscMemcpy(rtmp+25*ic[ajtmpold[j]],v,25*sizeof(PetscScalar));CHKERRQ(ierr); 62 #else 63 x = rtmp+25*ic[ajtmpold[j]]; 64 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 65 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 66 x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; x[12] = v[12]; x[13] = v[13]; 67 x[14] = v[14]; x[15] = v[15]; x[16] = v[16]; x[17] = v[17]; 68 x[18] = v[18]; x[19] = v[19]; x[20] = v[20]; x[21] = v[21]; 69 x[22] = v[22]; x[23] = v[23]; x[24] = v[24]; 70 #endif 71 v += 25; 72 } 73 row = *ajtmp++; 74 while (row < i) { 75 pc = rtmp + 25*row; 76 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 77 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 78 p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; p13 = pc[12]; p14 = pc[13]; 79 p15 = pc[14]; p16 = pc[15]; p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; 80 p20 = pc[19]; p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 81 p25 = pc[24]; 82 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 83 p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 || 84 p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0 85 || p16 != 0.0 || p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || 86 p20 != 0.0 || p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || 87 p24 != 0.0 || p25 != 0.0) { 88 pv = ba + 25*diag_offset[row]; 89 pj = bj + diag_offset[row] + 1; 90 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 91 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 92 x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; x14 = pv[13]; 93 x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; x18 = pv[17]; 94 x19 = pv[18]; x20 = pv[19]; x21 = pv[20]; x22 = pv[21]; 95 x23 = pv[22]; x24 = pv[23]; x25 = pv[24]; 96 pc[0] = m1 = p1*x1 + p6*x2 + p11*x3 + p16*x4 + p21*x5; 97 pc[1] = m2 = p2*x1 + p7*x2 + p12*x3 + p17*x4 + p22*x5; 98 pc[2] = m3 = p3*x1 + p8*x2 + p13*x3 + p18*x4 + p23*x5; 99 pc[3] = m4 = p4*x1 + p9*x2 + p14*x3 + p19*x4 + p24*x5; 100 pc[4] = m5 = p5*x1 + p10*x2 + p15*x3 + p20*x4 + p25*x5; 101 102 pc[5] = m6 = p1*x6 + p6*x7 + p11*x8 + p16*x9 + p21*x10; 103 pc[6] = m7 = p2*x6 + p7*x7 + p12*x8 + p17*x9 + p22*x10; 104 pc[7] = m8 = p3*x6 + p8*x7 + p13*x8 + p18*x9 + p23*x10; 105 pc[8] = m9 = p4*x6 + p9*x7 + p14*x8 + p19*x9 + p24*x10; 106 pc[9] = m10 = p5*x6 + p10*x7 + p15*x8 + p20*x9 + p25*x10; 107 108 pc[10] = m11 = p1*x11 + p6*x12 + p11*x13 + p16*x14 + p21*x15; 109 pc[11] = m12 = p2*x11 + p7*x12 + p12*x13 + p17*x14 + p22*x15; 110 pc[12] = m13 = p3*x11 + p8*x12 + p13*x13 + p18*x14 + p23*x15; 111 pc[13] = m14 = p4*x11 + p9*x12 + p14*x13 + p19*x14 + p24*x15; 112 pc[14] = m15 = p5*x11 + p10*x12 + p15*x13 + p20*x14 + p25*x15; 113 114 pc[15] = m16 = p1*x16 + p6*x17 + p11*x18 + p16*x19 + p21*x20; 115 pc[16] = m17 = p2*x16 + p7*x17 + p12*x18 + p17*x19 + p22*x20; 116 pc[17] = m18 = p3*x16 + p8*x17 + p13*x18 + p18*x19 + p23*x20; 117 pc[18] = m19 = p4*x16 + p9*x17 + p14*x18 + p19*x19 + p24*x20; 118 pc[19] = m20 = p5*x16 + p10*x17 + p15*x18 + p20*x19 + p25*x20; 119 120 pc[20] = m21 = p1*x21 + p6*x22 + p11*x23 + p16*x24 + p21*x25; 121 pc[21] = m22 = p2*x21 + p7*x22 + p12*x23 + p17*x24 + p22*x25; 122 pc[22] = m23 = p3*x21 + p8*x22 + p13*x23 + p18*x24 + p23*x25; 123 pc[23] = m24 = p4*x21 + p9*x22 + p14*x23 + p19*x24 + p24*x25; 124 pc[24] = m25 = p5*x21 + p10*x22 + p15*x23 + p20*x24 + p25*x25; 125 126 nz = bi[row+1] - diag_offset[row] - 1; 127 pv += 25; 128 for (j=0; j<nz; j++) { 129 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 130 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 131 x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; 132 x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; 133 x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; x21 = pv[20]; 134 x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; x25 = pv[24]; 135 x = rtmp + 25*pj[j]; 136 x[0] -= m1*x1 + m6*x2 + m11*x3 + m16*x4 + m21*x5; 137 x[1] -= m2*x1 + m7*x2 + m12*x3 + m17*x4 + m22*x5; 138 x[2] -= m3*x1 + m8*x2 + m13*x3 + m18*x4 + m23*x5; 139 x[3] -= m4*x1 + m9*x2 + m14*x3 + m19*x4 + m24*x5; 140 x[4] -= m5*x1 + m10*x2 + m15*x3 + m20*x4 + m25*x5; 141 142 x[5] -= m1*x6 + m6*x7 + m11*x8 + m16*x9 + m21*x10; 143 x[6] -= m2*x6 + m7*x7 + m12*x8 + m17*x9 + m22*x10; 144 x[7] -= m3*x6 + m8*x7 + m13*x8 + m18*x9 + m23*x10; 145 x[8] -= m4*x6 + m9*x7 + m14*x8 + m19*x9 + m24*x10; 146 x[9] -= m5*x6 + m10*x7 + m15*x8 + m20*x9 + m25*x10; 147 148 x[10] -= m1*x11 + m6*x12 + m11*x13 + m16*x14 + m21*x15; 149 x[11] -= m2*x11 + m7*x12 + m12*x13 + m17*x14 + m22*x15; 150 x[12] -= m3*x11 + m8*x12 + m13*x13 + m18*x14 + m23*x15; 151 x[13] -= m4*x11 + m9*x12 + m14*x13 + m19*x14 + m24*x15; 152 x[14] -= m5*x11 + m10*x12 + m15*x13 + m20*x14 + m25*x15; 153 154 x[15] -= m1*x16 + m6*x17 + m11*x18 + m16*x19 + m21*x20; 155 x[16] -= m2*x16 + m7*x17 + m12*x18 + m17*x19 + m22*x20; 156 x[17] -= m3*x16 + m8*x17 + m13*x18 + m18*x19 + m23*x20; 157 x[18] -= m4*x16 + m9*x17 + m14*x18 + m19*x19 + m24*x20; 158 x[19] -= m5*x16 + m10*x17 + m15*x18 + m20*x19 + m25*x20; 159 160 x[20] -= m1*x21 + m6*x22 + m11*x23 + m16*x24 + m21*x25; 161 x[21] -= m2*x21 + m7*x22 + m12*x23 + m17*x24 + m22*x25; 162 x[22] -= m3*x21 + m8*x22 + m13*x23 + m18*x24 + m23*x25; 163 x[23] -= m4*x21 + m9*x22 + m14*x23 + m19*x24 + m24*x25; 164 x[24] -= m5*x21 + m10*x22 + m15*x23 + m20*x24 + m25*x25; 165 166 pv += 25; 167 } 168 ierr = PetscLogFlops(250.0*nz+225.0);CHKERRQ(ierr); 169 } 170 row = *ajtmp++; 171 } 172 /* finished row so stick it into b->a */ 173 pv = ba + 25*bi[i]; 174 pj = bj + bi[i]; 175 nz = bi[i+1] - bi[i]; 176 for (j=0; j<nz; j++) { 177 #if defined(PETSC_USE_MEMCPY) 178 ierr = PetscMemcpy(pv,rtmp+25*pj[j],25*sizeof(PetscScalar));CHKERRQ(ierr); 179 #else 180 x = rtmp+25*pj[j]; 181 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 182 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 183 pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; pv[12] = x[12]; 184 pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; pv[16] = x[16]; 185 pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; pv[20] = x[20]; 186 pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; pv[24] = x[24]; 187 #endif 188 pv += 25; 189 } 190 /* invert diagonal block */ 191 w = ba + 25*diag_offset[i]; 192 ierr = Kernel_A_gets_inverse_A_5(w,ipvt,work,shift);CHKERRQ(ierr); 193 } 194 195 ierr = PetscFree(rtmp);CHKERRQ(ierr); 196 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 197 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 198 C->ops->solve = MatSolve_SeqBAIJ_5_inplace; 199 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_5_inplace; 200 C->assembled = PETSC_TRUE; 201 ierr = PetscLogFlops(1.333333333333*5*5*5*b->mbs);CHKERRQ(ierr); /* from inverting diagonal blocks */ 202 PetscFunctionReturn(0); 203 } 204 205 /* MatLUFactorNumeric_SeqBAIJ_5 - 206 copied from MatLUFactorNumeric_SeqBAIJ_N_inplace() and manually re-implemented 207 Kernel_A_gets_A_times_B() 208 Kernel_A_gets_A_minus_B_times_C() 209 Kernel_A_gets_inverse_A() 210 */ 211 212 #undef __FUNCT__ 213 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_5" 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; 227 228 PetscFunctionBegin; 229 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 230 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 231 232 /* generate work space needed by the factorization */ 233 ierr = PetscMalloc2(bs2*n,MatScalar,&rtmp,bs2,MatScalar,&mwork);CHKERRQ(ierr); 234 ierr = PetscMemzero(rtmp,bs2*n*sizeof(MatScalar));CHKERRQ(ierr); 235 236 for (i=0; i<n; i++){ 237 /* zero rtmp */ 238 /* L part */ 239 nz = bi[i+1] - bi[i]; 240 bjtmp = bj + bi[i]; 241 for (j=0; j<nz; j++){ 242 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 243 } 244 245 /* U part */ 246 nz = bdiag[i] - bdiag[i+1]; 247 bjtmp = bj + bdiag[i+1]+1; 248 for (j=0; j<nz; j++){ 249 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 250 } 251 252 /* load in initial (unfactored row) */ 253 nz = ai[r[i]+1] - ai[r[i]]; 254 ajtmp = aj + ai[r[i]]; 255 v = aa + bs2*ai[r[i]]; 256 for (j=0; j<nz; j++) { 257 ierr = PetscMemcpy(rtmp+bs2*ic[ajtmp[j]],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr); 258 } 259 260 /* elimination */ 261 bjtmp = bj + bi[i]; 262 nzL = bi[i+1] - bi[i]; 263 for(k=0;k < nzL;k++) { 264 row = bjtmp[k]; 265 pc = rtmp + bs2*row; 266 for (flg=0,j=0; j<bs2; j++) { if (pc[j]!=0.0) { flg = 1; break; }} 267 if (flg) { 268 pv = b->a + bs2*bdiag[row]; 269 /* Kernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 270 ierr = Kernel_A_gets_A_times_B_5(pc,pv,mwork);CHKERRQ(ierr); 271 272 pj = b->j + bdiag[row+1]+1; /* begining of U(row,:) */ 273 pv = b->a + bs2*(bdiag[row+1]+1); 274 nz = bdiag[row] - bdiag[row+1] - 1; /* num of entries inU(row,:), excluding diag */ 275 for (j=0; j<nz; j++) { 276 /* Kernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 277 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 278 v = rtmp + bs2*pj[j]; 279 ierr = Kernel_A_gets_A_minus_B_times_C_5(v,pc,pv);CHKERRQ(ierr); 280 pv += bs2; 281 } 282 ierr = PetscLogFlops(250*nz+225);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 283 } 284 } 285 286 /* finished row so stick it into b->a */ 287 /* L part */ 288 pv = b->a + bs2*bi[i] ; 289 pj = b->j + bi[i] ; 290 nz = bi[i+1] - bi[i]; 291 for (j=0; j<nz; j++) { 292 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 293 } 294 295 /* Mark diagonal and invert diagonal for simplier triangular solves */ 296 pv = b->a + bs2*bdiag[i]; 297 pj = b->j + bdiag[i]; 298 ierr = PetscMemcpy(pv,rtmp+bs2*pj[0],bs2*sizeof(MatScalar));CHKERRQ(ierr); 299 /* ierr = Kernel_A_gets_inverse_A(bs,pv,v_pivots,v_work);CHKERRQ(ierr); */ 300 ierr = Kernel_A_gets_inverse_A_5(pv,ipvt,work,shift);CHKERRQ(ierr); 301 302 /* U part */ 303 pv = b->a + bs2*(bdiag[i+1]+1); 304 pj = b->j + bdiag[i+1]+1; 305 nz = bdiag[i] - bdiag[i+1] - 1; 306 for (j=0; j<nz; j++){ 307 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 308 } 309 } 310 311 ierr = PetscFree2(rtmp,mwork);CHKERRQ(ierr); 312 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 313 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 314 C->ops->solve = MatSolve_SeqBAIJ_5; 315 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_5; 316 C->assembled = PETSC_TRUE; 317 ierr = PetscLogFlops(1.333333333333*5*5*5*n);CHKERRQ(ierr); /* from inverting diagonal blocks */ 318 PetscFunctionReturn(0); 319 } 320 321 /* 322 Version for when blocks are 5 by 5 Using natural ordering 323 */ 324 #undef __FUNCT__ 325 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_5_NaturalOrdering_inplace" 326 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_5_NaturalOrdering_inplace(Mat C,Mat A,const MatFactorInfo *info) 327 { 328 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 329 PetscErrorCode ierr; 330 PetscInt i,j,n = a->mbs,*bi = b->i,*bj = b->j,ipvt[5]; 331 PetscInt *ajtmpold,*ajtmp,nz,row; 332 PetscInt *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 333 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 334 MatScalar x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15; 335 MatScalar x16,x17,x18,x19,x20,x21,x22,x23,x24,x25; 336 MatScalar p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15; 337 MatScalar p16,p17,p18,p19,p20,p21,p22,p23,p24,p25; 338 MatScalar m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15; 339 MatScalar m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 340 MatScalar *ba = b->a,*aa = a->a,work[25]; 341 PetscReal shift = info->shiftamount; 342 343 PetscFunctionBegin; 344 ierr = PetscMalloc(25*(n+1)*sizeof(MatScalar),&rtmp);CHKERRQ(ierr); 345 for (i=0; i<n; i++) { 346 nz = bi[i+1] - bi[i]; 347 ajtmp = bj + bi[i]; 348 for (j=0; j<nz; j++) { 349 x = rtmp+25*ajtmp[j]; 350 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 351 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = 0.0; 352 x[16] = x[17] = x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = 0.0; 353 } 354 /* load in initial (unfactored row) */ 355 nz = ai[i+1] - ai[i]; 356 ajtmpold = aj + ai[i]; 357 v = aa + 25*ai[i]; 358 for (j=0; j<nz; j++) { 359 x = rtmp+25*ajtmpold[j]; 360 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 361 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 362 x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; x[12] = v[12]; x[13] = v[13]; 363 x[14] = v[14]; x[15] = v[15]; x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; 364 x[19] = v[19]; x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 365 x[24] = v[24]; 366 v += 25; 367 } 368 row = *ajtmp++; 369 while (row < i) { 370 pc = rtmp + 25*row; 371 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 372 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 373 p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; p13 = pc[12]; p14 = pc[13]; 374 p15 = pc[14]; p16 = pc[15]; p17 = pc[16]; p18 = pc[17]; 375 p19 = pc[18]; p20 = pc[19]; p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; 376 p24 = pc[23]; p25 = pc[24]; 377 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 378 p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 || 379 p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0 380 || p16 != 0.0 || p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 381 || p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || p25 != 0.0) { 382 pv = ba + 25*diag_offset[row]; 383 pj = bj + diag_offset[row] + 1; 384 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 385 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 386 x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; x14 = pv[13]; 387 x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; 388 x20 = pv[19]; x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 389 x25 = pv[24]; 390 pc[0] = m1 = p1*x1 + p6*x2 + p11*x3 + p16*x4 + p21*x5; 391 pc[1] = m2 = p2*x1 + p7*x2 + p12*x3 + p17*x4 + p22*x5; 392 pc[2] = m3 = p3*x1 + p8*x2 + p13*x3 + p18*x4 + p23*x5; 393 pc[3] = m4 = p4*x1 + p9*x2 + p14*x3 + p19*x4 + p24*x5; 394 pc[4] = m5 = p5*x1 + p10*x2 + p15*x3 + p20*x4 + p25*x5; 395 396 pc[5] = m6 = p1*x6 + p6*x7 + p11*x8 + p16*x9 + p21*x10; 397 pc[6] = m7 = p2*x6 + p7*x7 + p12*x8 + p17*x9 + p22*x10; 398 pc[7] = m8 = p3*x6 + p8*x7 + p13*x8 + p18*x9 + p23*x10; 399 pc[8] = m9 = p4*x6 + p9*x7 + p14*x8 + p19*x9 + p24*x10; 400 pc[9] = m10 = p5*x6 + p10*x7 + p15*x8 + p20*x9 + p25*x10; 401 402 pc[10] = m11 = p1*x11 + p6*x12 + p11*x13 + p16*x14 + p21*x15; 403 pc[11] = m12 = p2*x11 + p7*x12 + p12*x13 + p17*x14 + p22*x15; 404 pc[12] = m13 = p3*x11 + p8*x12 + p13*x13 + p18*x14 + p23*x15; 405 pc[13] = m14 = p4*x11 + p9*x12 + p14*x13 + p19*x14 + p24*x15; 406 pc[14] = m15 = p5*x11 + p10*x12 + p15*x13 + p20*x14 + p25*x15; 407 408 pc[15] = m16 = p1*x16 + p6*x17 + p11*x18 + p16*x19 + p21*x20; 409 pc[16] = m17 = p2*x16 + p7*x17 + p12*x18 + p17*x19 + p22*x20; 410 pc[17] = m18 = p3*x16 + p8*x17 + p13*x18 + p18*x19 + p23*x20; 411 pc[18] = m19 = p4*x16 + p9*x17 + p14*x18 + p19*x19 + p24*x20; 412 pc[19] = m20 = p5*x16 + p10*x17 + p15*x18 + p20*x19 + p25*x20; 413 414 pc[20] = m21 = p1*x21 + p6*x22 + p11*x23 + p16*x24 + p21*x25; 415 pc[21] = m22 = p2*x21 + p7*x22 + p12*x23 + p17*x24 + p22*x25; 416 pc[22] = m23 = p3*x21 + p8*x22 + p13*x23 + p18*x24 + p23*x25; 417 pc[23] = m24 = p4*x21 + p9*x22 + p14*x23 + p19*x24 + p24*x25; 418 pc[24] = m25 = p5*x21 + p10*x22 + p15*x23 + p20*x24 + p25*x25; 419 420 nz = bi[row+1] - diag_offset[row] - 1; 421 pv += 25; 422 for (j=0; j<nz; j++) { 423 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 424 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 425 x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; 426 x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; x18 = pv[17]; 427 x19 = pv[18]; x20 = pv[19]; x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; 428 x24 = pv[23]; x25 = pv[24]; 429 x = rtmp + 25*pj[j]; 430 x[0] -= m1*x1 + m6*x2 + m11*x3 + m16*x4 + m21*x5; 431 x[1] -= m2*x1 + m7*x2 + m12*x3 + m17*x4 + m22*x5; 432 x[2] -= m3*x1 + m8*x2 + m13*x3 + m18*x4 + m23*x5; 433 x[3] -= m4*x1 + m9*x2 + m14*x3 + m19*x4 + m24*x5; 434 x[4] -= m5*x1 + m10*x2 + m15*x3 + m20*x4 + m25*x5; 435 436 x[5] -= m1*x6 + m6*x7 + m11*x8 + m16*x9 + m21*x10; 437 x[6] -= m2*x6 + m7*x7 + m12*x8 + m17*x9 + m22*x10; 438 x[7] -= m3*x6 + m8*x7 + m13*x8 + m18*x9 + m23*x10; 439 x[8] -= m4*x6 + m9*x7 + m14*x8 + m19*x9 + m24*x10; 440 x[9] -= m5*x6 + m10*x7 + m15*x8 + m20*x9 + m25*x10; 441 442 x[10] -= m1*x11 + m6*x12 + m11*x13 + m16*x14 + m21*x15; 443 x[11] -= m2*x11 + m7*x12 + m12*x13 + m17*x14 + m22*x15; 444 x[12] -= m3*x11 + m8*x12 + m13*x13 + m18*x14 + m23*x15; 445 x[13] -= m4*x11 + m9*x12 + m14*x13 + m19*x14 + m24*x15; 446 x[14] -= m5*x11 + m10*x12 + m15*x13 + m20*x14 + m25*x15; 447 448 x[15] -= m1*x16 + m6*x17 + m11*x18 + m16*x19 + m21*x20; 449 x[16] -= m2*x16 + m7*x17 + m12*x18 + m17*x19 + m22*x20; 450 x[17] -= m3*x16 + m8*x17 + m13*x18 + m18*x19 + m23*x20; 451 x[18] -= m4*x16 + m9*x17 + m14*x18 + m19*x19 + m24*x20; 452 x[19] -= m5*x16 + m10*x17 + m15*x18 + m20*x19 + m25*x20; 453 454 x[20] -= m1*x21 + m6*x22 + m11*x23 + m16*x24 + m21*x25; 455 x[21] -= m2*x21 + m7*x22 + m12*x23 + m17*x24 + m22*x25; 456 x[22] -= m3*x21 + m8*x22 + m13*x23 + m18*x24 + m23*x25; 457 x[23] -= m4*x21 + m9*x22 + m14*x23 + m19*x24 + m24*x25; 458 x[24] -= m5*x21 + m10*x22 + m15*x23 + m20*x24 + m25*x25; 459 pv += 25; 460 } 461 ierr = PetscLogFlops(250.0*nz+225.0);CHKERRQ(ierr); 462 } 463 row = *ajtmp++; 464 } 465 /* finished row so stick it into b->a */ 466 pv = ba + 25*bi[i]; 467 pj = bj + bi[i]; 468 nz = bi[i+1] - bi[i]; 469 for (j=0; j<nz; j++) { 470 x = rtmp+25*pj[j]; 471 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 472 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 473 pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; pv[12] = x[12]; 474 pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; pv[16] = x[16]; pv[17] = x[17]; 475 pv[18] = x[18]; pv[19] = x[19]; pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; 476 pv[23] = x[23]; pv[24] = x[24]; 477 pv += 25; 478 } 479 /* invert diagonal block */ 480 w = ba + 25*diag_offset[i]; 481 ierr = Kernel_A_gets_inverse_A_5(w,ipvt,work,shift);CHKERRQ(ierr); 482 } 483 484 ierr = PetscFree(rtmp);CHKERRQ(ierr); 485 C->ops->solve = MatSolve_SeqBAIJ_5_NaturalOrdering_inplace; 486 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_5_NaturalOrdering_inplace; 487 C->assembled = PETSC_TRUE; 488 ierr = PetscLogFlops(1.333333333333*5*5*5*b->mbs);CHKERRQ(ierr); /* from inverting diagonal blocks */ 489 PetscFunctionReturn(0); 490 } 491 492 #undef __FUNCT__ 493 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_5_NaturalOrdering" 494 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_5_NaturalOrdering(Mat B,Mat A,const MatFactorInfo *info) 495 { 496 Mat C=B; 497 Mat_SeqBAIJ *a=(Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ *)C->data; 498 PetscErrorCode ierr; 499 PetscInt i,j,k,nz,nzL,row; 500 const PetscInt n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j; 501 const PetscInt *ajtmp,*bjtmp,*bdiag=b->diag,*pj,bs2=a->bs2; 502 MatScalar *rtmp,*pc,*mwork,*v,*vv,*pv,*aa=a->a,work[25]; 503 PetscInt flg,ipvt[5]; 504 PetscReal shift = info->shiftamount; 505 506 PetscFunctionBegin; 507 /* generate work space needed by the factorization */ 508 ierr = PetscMalloc2(bs2*n,MatScalar,&rtmp,bs2,MatScalar,&mwork);CHKERRQ(ierr); 509 ierr = PetscMemzero(rtmp,bs2*n*sizeof(MatScalar));CHKERRQ(ierr); 510 511 for (i=0; i<n; i++){ 512 /* zero rtmp */ 513 /* L part */ 514 nz = bi[i+1] - bi[i]; 515 bjtmp = bj + bi[i]; 516 for (j=0; j<nz; j++){ 517 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 518 } 519 520 /* U part */ 521 nz = bdiag[i] - bdiag[i+1]; 522 bjtmp = bj + bdiag[i+1]+1; 523 for (j=0; j<nz; j++){ 524 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 525 } 526 527 /* load in initial (unfactored row) */ 528 nz = ai[i+1] - ai[i]; 529 ajtmp = aj + ai[i]; 530 v = aa + bs2*ai[i]; 531 for (j=0; j<nz; j++) { 532 ierr = PetscMemcpy(rtmp+bs2*ajtmp[j],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr); 533 } 534 535 /* elimination */ 536 bjtmp = bj + bi[i]; 537 nzL = bi[i+1] - bi[i]; 538 for(k=0;k < nzL;k++) { 539 row = bjtmp[k]; 540 pc = rtmp + bs2*row; 541 for (flg=0,j=0; j<bs2; j++) { if (pc[j]!=0.0) { flg = 1; break; }} 542 if (flg) { 543 pv = b->a + bs2*bdiag[row]; 544 /* Kernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 545 ierr = Kernel_A_gets_A_times_B_5(pc,pv,mwork);CHKERRQ(ierr); 546 547 pj = b->j + bdiag[row+1]+1; /* begining of U(row,:) */ 548 pv = b->a + bs2*(bdiag[row+1]+1); 549 nz = bdiag[row] - bdiag[row+1] - 1; /* num of entries inU(row,:), excluding diag */ 550 for (j=0; j<nz; j++) { 551 /* Kernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 552 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 553 vv = rtmp + bs2*pj[j]; 554 ierr = Kernel_A_gets_A_minus_B_times_C_5(vv,pc,pv);CHKERRQ(ierr); 555 pv += bs2; 556 } 557 ierr = PetscLogFlops(250*nz+225);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 558 } 559 } 560 561 /* finished row so stick it into b->a */ 562 /* L part */ 563 pv = b->a + bs2*bi[i] ; 564 pj = b->j + bi[i] ; 565 nz = bi[i+1] - bi[i]; 566 for (j=0; j<nz; j++) { 567 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 568 } 569 570 /* Mark diagonal and invert diagonal for simplier triangular solves */ 571 pv = b->a + bs2*bdiag[i]; 572 pj = b->j + bdiag[i]; 573 ierr = PetscMemcpy(pv,rtmp+bs2*pj[0],bs2*sizeof(MatScalar));CHKERRQ(ierr); 574 /* ierr = Kernel_A_gets_inverse_A(bs,pv,v_pivots,v_work);CHKERRQ(ierr); */ 575 ierr = Kernel_A_gets_inverse_A_5(pv,ipvt,work,shift);CHKERRQ(ierr); 576 577 /* U part */ 578 pv = b->a + bs2*(bdiag[i+1]+1); 579 pj = b->j + bdiag[i+1]+1; 580 nz = bdiag[i] - bdiag[i+1] - 1; 581 for (j=0; j<nz; j++){ 582 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 583 } 584 } 585 ierr = PetscFree2(rtmp,mwork);CHKERRQ(ierr); 586 C->ops->solve = MatSolve_SeqBAIJ_5_NaturalOrdering; 587 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_5_NaturalOrdering; 588 C->assembled = PETSC_TRUE; 589 ierr = PetscLogFlops(1.333333333333*5*5*5*n);CHKERRQ(ierr); /* from inverting diagonal blocks */ 590 PetscFunctionReturn(0); 591 } 592