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 #undef __FUNCT__ 13 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_5_inplace" 14 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_5_inplace(Mat C,Mat A,const MatFactorInfo *info) 15 { 16 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ*)C->data; 17 IS isrow = b->row,isicol = b->icol; 18 PetscErrorCode ierr; 19 const PetscInt *r,*ic,*bi = b->i,*bj = b->j,*ajtmpold,*ajtmp; 20 PetscInt i,j,n = a->mbs,nz,row,idx,ipvt[5]; 21 const PetscInt *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 22 MatScalar *w,*pv,*rtmp,*x,*pc; 23 const MatScalar *v,*aa = a->a; 24 MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 25 MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16; 26 MatScalar x17,x18,x19,x20,x21,x22,x23,x24,x25,p10,p11,p12,p13,p14; 27 MatScalar p15,p16,p17,p18,p19,p20,p21,p22,p23,p24,p25,m10,m11,m12; 28 MatScalar m13,m14,m15,m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 29 MatScalar *ba = b->a,work[25]; 30 PetscReal shift = info->shiftamount; 31 PetscBool allowzeropivot,zeropivotdetected; 32 33 PetscFunctionBegin; 34 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 35 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 36 ierr = PetscMalloc1(25*(n+1),&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 allowzeropivot = PetscNot(A->erroriffailure); 193 ierr = PetscKernel_A_gets_inverse_A_5(w,ipvt,work,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr); 194 if (zeropivotdetected) C->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 195 } 196 197 ierr = PetscFree(rtmp);CHKERRQ(ierr); 198 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 199 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 200 201 C->ops->solve = MatSolve_SeqBAIJ_5_inplace; 202 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_5_inplace; 203 C->assembled = PETSC_TRUE; 204 205 ierr = PetscLogFlops(1.333333333333*5*5*5*b->mbs);CHKERRQ(ierr); /* from inverting diagonal blocks */ 206 PetscFunctionReturn(0); 207 } 208 209 /* MatLUFactorNumeric_SeqBAIJ_5 - 210 copied from MatLUFactorNumeric_SeqBAIJ_N_inplace() and manually re-implemented 211 PetscKernel_A_gets_A_times_B() 212 PetscKernel_A_gets_A_minus_B_times_C() 213 PetscKernel_A_gets_inverse_A() 214 */ 215 216 #undef __FUNCT__ 217 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_5" 218 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_5(Mat B,Mat A,const MatFactorInfo *info) 219 { 220 Mat C =B; 221 Mat_SeqBAIJ *a =(Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ*)C->data; 222 IS isrow = b->row,isicol = b->icol; 223 PetscErrorCode ierr; 224 const PetscInt *r,*ic; 225 PetscInt i,j,k,nz,nzL,row; 226 const PetscInt n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j; 227 const PetscInt *ajtmp,*bjtmp,*bdiag=b->diag,*pj,bs2=a->bs2; 228 MatScalar *rtmp,*pc,*mwork,*v,*pv,*aa=a->a,work[25]; 229 PetscInt flg,ipvt[5]; 230 PetscReal shift = info->shiftamount; 231 PetscBool allowzeropivot,zeropivotdetected; 232 233 PetscFunctionBegin; 234 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 235 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 236 237 /* generate work space needed by the factorization */ 238 ierr = PetscMalloc2(bs2*n,&rtmp,bs2,&mwork);CHKERRQ(ierr); 239 ierr = PetscMemzero(rtmp,bs2*n*sizeof(MatScalar));CHKERRQ(ierr); 240 241 for (i=0; i<n; i++) { 242 /* zero rtmp */ 243 /* L part */ 244 nz = bi[i+1] - bi[i]; 245 bjtmp = bj + bi[i]; 246 for (j=0; j<nz; j++) { 247 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 248 } 249 250 /* U part */ 251 nz = bdiag[i] - bdiag[i+1]; 252 bjtmp = bj + bdiag[i+1]+1; 253 for (j=0; j<nz; j++) { 254 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 255 } 256 257 /* load in initial (unfactored row) */ 258 nz = ai[r[i]+1] - ai[r[i]]; 259 ajtmp = aj + ai[r[i]]; 260 v = aa + bs2*ai[r[i]]; 261 for (j=0; j<nz; j++) { 262 ierr = PetscMemcpy(rtmp+bs2*ic[ajtmp[j]],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr); 263 } 264 265 /* elimination */ 266 bjtmp = bj + bi[i]; 267 nzL = bi[i+1] - bi[i]; 268 for (k=0; k < nzL; k++) { 269 row = bjtmp[k]; 270 pc = rtmp + bs2*row; 271 for (flg=0,j=0; j<bs2; j++) { 272 if (pc[j]!=0.0) { 273 flg = 1; 274 break; 275 } 276 } 277 if (flg) { 278 pv = b->a + bs2*bdiag[row]; 279 /* PetscKernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 280 ierr = PetscKernel_A_gets_A_times_B_5(pc,pv,mwork);CHKERRQ(ierr); 281 282 pj = b->j + bdiag[row+1]+1; /* begining of U(row,:) */ 283 pv = b->a + bs2*(bdiag[row+1]+1); 284 nz = bdiag[row] - bdiag[row+1] - 1; /* num of entries inU(row,:), excluding diag */ 285 for (j=0; j<nz; j++) { 286 /* PetscKernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 287 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 288 v = rtmp + bs2*pj[j]; 289 ierr = PetscKernel_A_gets_A_minus_B_times_C_5(v,pc,pv);CHKERRQ(ierr); 290 pv += bs2; 291 } 292 ierr = PetscLogFlops(250*nz+225);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 293 } 294 } 295 296 /* finished row so stick it into b->a */ 297 /* L part */ 298 pv = b->a + bs2*bi[i]; 299 pj = b->j + bi[i]; 300 nz = bi[i+1] - bi[i]; 301 for (j=0; j<nz; j++) { 302 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 303 } 304 305 /* Mark diagonal and invert diagonal for simplier triangular solves */ 306 pv = b->a + bs2*bdiag[i]; 307 pj = b->j + bdiag[i]; 308 ierr = PetscMemcpy(pv,rtmp+bs2*pj[0],bs2*sizeof(MatScalar));CHKERRQ(ierr); 309 /* ierr = PetscKernel_A_gets_inverse_A(bs,pv,v_pivots,v_work);CHKERRQ(ierr); */ 310 allowzeropivot = PetscNot(A->erroriffailure); 311 ierr = PetscKernel_A_gets_inverse_A_5(pv,ipvt,work,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr); 312 if (zeropivotdetected) C->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 313 314 /* U part */ 315 pv = b->a + bs2*(bdiag[i+1]+1); 316 pj = b->j + bdiag[i+1]+1; 317 nz = bdiag[i] - bdiag[i+1] - 1; 318 for (j=0; j<nz; j++) { 319 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 320 } 321 } 322 323 ierr = PetscFree2(rtmp,mwork);CHKERRQ(ierr); 324 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 325 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 326 327 C->ops->solve = MatSolve_SeqBAIJ_5; 328 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_5; 329 C->assembled = PETSC_TRUE; 330 331 ierr = PetscLogFlops(1.333333333333*5*5*5*n);CHKERRQ(ierr); /* from inverting diagonal blocks */ 332 PetscFunctionReturn(0); 333 } 334 335 /* 336 Version for when blocks are 5 by 5 Using natural ordering 337 */ 338 #undef __FUNCT__ 339 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_5_NaturalOrdering_inplace" 340 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_5_NaturalOrdering_inplace(Mat C,Mat A,const MatFactorInfo *info) 341 { 342 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ*)C->data; 343 PetscErrorCode ierr; 344 PetscInt i,j,n = a->mbs,*bi = b->i,*bj = b->j,ipvt[5]; 345 PetscInt *ajtmpold,*ajtmp,nz,row; 346 PetscInt *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 347 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 348 MatScalar x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15; 349 MatScalar x16,x17,x18,x19,x20,x21,x22,x23,x24,x25; 350 MatScalar p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15; 351 MatScalar p16,p17,p18,p19,p20,p21,p22,p23,p24,p25; 352 MatScalar m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15; 353 MatScalar m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 354 MatScalar *ba = b->a,*aa = a->a,work[25]; 355 PetscReal shift = info->shiftamount; 356 PetscBool allowzeropivot,zeropivotdetected; 357 358 PetscFunctionBegin; 359 ierr = PetscMalloc1(25*(n+1),&rtmp);CHKERRQ(ierr); 360 for (i=0; i<n; i++) { 361 nz = bi[i+1] - bi[i]; 362 ajtmp = bj + bi[i]; 363 for (j=0; j<nz; j++) { 364 x = rtmp+25*ajtmp[j]; 365 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 366 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = 0.0; 367 x[16] = x[17] = x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = 0.0; 368 } 369 /* load in initial (unfactored row) */ 370 nz = ai[i+1] - ai[i]; 371 ajtmpold = aj + ai[i]; 372 v = aa + 25*ai[i]; 373 for (j=0; j<nz; j++) { 374 x = rtmp+25*ajtmpold[j]; 375 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 376 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 377 x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; x[12] = v[12]; x[13] = v[13]; 378 x[14] = v[14]; x[15] = v[15]; x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; 379 x[19] = v[19]; x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 380 x[24] = v[24]; 381 v += 25; 382 } 383 row = *ajtmp++; 384 while (row < i) { 385 pc = rtmp + 25*row; 386 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 387 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 388 p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; p13 = pc[12]; p14 = pc[13]; 389 p15 = pc[14]; p16 = pc[15]; p17 = pc[16]; p18 = pc[17]; 390 p19 = pc[18]; p20 = pc[19]; p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; 391 p24 = pc[23]; p25 = pc[24]; 392 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 393 p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 || 394 p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0 395 || p16 != 0.0 || p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 396 || p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || p25 != 0.0) { 397 pv = ba + 25*diag_offset[row]; 398 pj = bj + diag_offset[row] + 1; 399 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 400 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 401 x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; x14 = pv[13]; 402 x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; 403 x20 = pv[19]; x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 404 x25 = pv[24]; 405 pc[0] = m1 = p1*x1 + p6*x2 + p11*x3 + p16*x4 + p21*x5; 406 pc[1] = m2 = p2*x1 + p7*x2 + p12*x3 + p17*x4 + p22*x5; 407 pc[2] = m3 = p3*x1 + p8*x2 + p13*x3 + p18*x4 + p23*x5; 408 pc[3] = m4 = p4*x1 + p9*x2 + p14*x3 + p19*x4 + p24*x5; 409 pc[4] = m5 = p5*x1 + p10*x2 + p15*x3 + p20*x4 + p25*x5; 410 411 pc[5] = m6 = p1*x6 + p6*x7 + p11*x8 + p16*x9 + p21*x10; 412 pc[6] = m7 = p2*x6 + p7*x7 + p12*x8 + p17*x9 + p22*x10; 413 pc[7] = m8 = p3*x6 + p8*x7 + p13*x8 + p18*x9 + p23*x10; 414 pc[8] = m9 = p4*x6 + p9*x7 + p14*x8 + p19*x9 + p24*x10; 415 pc[9] = m10 = p5*x6 + p10*x7 + p15*x8 + p20*x9 + p25*x10; 416 417 pc[10] = m11 = p1*x11 + p6*x12 + p11*x13 + p16*x14 + p21*x15; 418 pc[11] = m12 = p2*x11 + p7*x12 + p12*x13 + p17*x14 + p22*x15; 419 pc[12] = m13 = p3*x11 + p8*x12 + p13*x13 + p18*x14 + p23*x15; 420 pc[13] = m14 = p4*x11 + p9*x12 + p14*x13 + p19*x14 + p24*x15; 421 pc[14] = m15 = p5*x11 + p10*x12 + p15*x13 + p20*x14 + p25*x15; 422 423 pc[15] = m16 = p1*x16 + p6*x17 + p11*x18 + p16*x19 + p21*x20; 424 pc[16] = m17 = p2*x16 + p7*x17 + p12*x18 + p17*x19 + p22*x20; 425 pc[17] = m18 = p3*x16 + p8*x17 + p13*x18 + p18*x19 + p23*x20; 426 pc[18] = m19 = p4*x16 + p9*x17 + p14*x18 + p19*x19 + p24*x20; 427 pc[19] = m20 = p5*x16 + p10*x17 + p15*x18 + p20*x19 + p25*x20; 428 429 pc[20] = m21 = p1*x21 + p6*x22 + p11*x23 + p16*x24 + p21*x25; 430 pc[21] = m22 = p2*x21 + p7*x22 + p12*x23 + p17*x24 + p22*x25; 431 pc[22] = m23 = p3*x21 + p8*x22 + p13*x23 + p18*x24 + p23*x25; 432 pc[23] = m24 = p4*x21 + p9*x22 + p14*x23 + p19*x24 + p24*x25; 433 pc[24] = m25 = p5*x21 + p10*x22 + p15*x23 + p20*x24 + p25*x25; 434 435 nz = bi[row+1] - diag_offset[row] - 1; 436 pv += 25; 437 for (j=0; j<nz; j++) { 438 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 439 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 440 x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; 441 x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; x18 = pv[17]; 442 x19 = pv[18]; x20 = pv[19]; x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; 443 x24 = pv[23]; x25 = pv[24]; 444 x = rtmp + 25*pj[j]; 445 x[0] -= m1*x1 + m6*x2 + m11*x3 + m16*x4 + m21*x5; 446 x[1] -= m2*x1 + m7*x2 + m12*x3 + m17*x4 + m22*x5; 447 x[2] -= m3*x1 + m8*x2 + m13*x3 + m18*x4 + m23*x5; 448 x[3] -= m4*x1 + m9*x2 + m14*x3 + m19*x4 + m24*x5; 449 x[4] -= m5*x1 + m10*x2 + m15*x3 + m20*x4 + m25*x5; 450 451 x[5] -= m1*x6 + m6*x7 + m11*x8 + m16*x9 + m21*x10; 452 x[6] -= m2*x6 + m7*x7 + m12*x8 + m17*x9 + m22*x10; 453 x[7] -= m3*x6 + m8*x7 + m13*x8 + m18*x9 + m23*x10; 454 x[8] -= m4*x6 + m9*x7 + m14*x8 + m19*x9 + m24*x10; 455 x[9] -= m5*x6 + m10*x7 + m15*x8 + m20*x9 + m25*x10; 456 457 x[10] -= m1*x11 + m6*x12 + m11*x13 + m16*x14 + m21*x15; 458 x[11] -= m2*x11 + m7*x12 + m12*x13 + m17*x14 + m22*x15; 459 x[12] -= m3*x11 + m8*x12 + m13*x13 + m18*x14 + m23*x15; 460 x[13] -= m4*x11 + m9*x12 + m14*x13 + m19*x14 + m24*x15; 461 x[14] -= m5*x11 + m10*x12 + m15*x13 + m20*x14 + m25*x15; 462 463 x[15] -= m1*x16 + m6*x17 + m11*x18 + m16*x19 + m21*x20; 464 x[16] -= m2*x16 + m7*x17 + m12*x18 + m17*x19 + m22*x20; 465 x[17] -= m3*x16 + m8*x17 + m13*x18 + m18*x19 + m23*x20; 466 x[18] -= m4*x16 + m9*x17 + m14*x18 + m19*x19 + m24*x20; 467 x[19] -= m5*x16 + m10*x17 + m15*x18 + m20*x19 + m25*x20; 468 469 x[20] -= m1*x21 + m6*x22 + m11*x23 + m16*x24 + m21*x25; 470 x[21] -= m2*x21 + m7*x22 + m12*x23 + m17*x24 + m22*x25; 471 x[22] -= m3*x21 + m8*x22 + m13*x23 + m18*x24 + m23*x25; 472 x[23] -= m4*x21 + m9*x22 + m14*x23 + m19*x24 + m24*x25; 473 x[24] -= m5*x21 + m10*x22 + m15*x23 + m20*x24 + m25*x25; 474 pv += 25; 475 } 476 ierr = PetscLogFlops(250.0*nz+225.0);CHKERRQ(ierr); 477 } 478 row = *ajtmp++; 479 } 480 /* finished row so stick it into b->a */ 481 pv = ba + 25*bi[i]; 482 pj = bj + bi[i]; 483 nz = bi[i+1] - bi[i]; 484 for (j=0; j<nz; j++) { 485 x = rtmp+25*pj[j]; 486 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 487 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 488 pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; pv[12] = x[12]; 489 pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; pv[16] = x[16]; pv[17] = x[17]; 490 pv[18] = x[18]; pv[19] = x[19]; pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; 491 pv[23] = x[23]; pv[24] = x[24]; 492 pv += 25; 493 } 494 /* invert diagonal block */ 495 w = ba + 25*diag_offset[i]; 496 allowzeropivot = PetscNot(A->erroriffailure); 497 ierr = PetscKernel_A_gets_inverse_A_5(w,ipvt,work,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr); 498 if (zeropivotdetected) C->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 499 } 500 501 ierr = PetscFree(rtmp);CHKERRQ(ierr); 502 503 C->ops->solve = MatSolve_SeqBAIJ_5_NaturalOrdering_inplace; 504 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_5_NaturalOrdering_inplace; 505 C->assembled = PETSC_TRUE; 506 507 ierr = PetscLogFlops(1.333333333333*5*5*5*b->mbs);CHKERRQ(ierr); /* from inverting diagonal blocks */ 508 PetscFunctionReturn(0); 509 } 510 511 #undef __FUNCT__ 512 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_5_NaturalOrdering" 513 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_5_NaturalOrdering(Mat B,Mat A,const MatFactorInfo *info) 514 { 515 Mat C =B; 516 Mat_SeqBAIJ *a=(Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ*)C->data; 517 PetscErrorCode ierr; 518 PetscInt i,j,k,nz,nzL,row; 519 const PetscInt n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j; 520 const PetscInt *ajtmp,*bjtmp,*bdiag=b->diag,*pj,bs2=a->bs2; 521 MatScalar *rtmp,*pc,*mwork,*v,*vv,*pv,*aa=a->a,work[25]; 522 PetscInt flg,ipvt[5]; 523 PetscReal shift = info->shiftamount; 524 PetscBool allowzeropivot,zeropivotdetected; 525 526 PetscFunctionBegin; 527 /* generate work space needed by the factorization */ 528 ierr = PetscMalloc2(bs2*n,&rtmp,bs2,&mwork);CHKERRQ(ierr); 529 ierr = PetscMemzero(rtmp,bs2*n*sizeof(MatScalar));CHKERRQ(ierr); 530 531 for (i=0; i<n; i++) { 532 /* zero rtmp */ 533 /* L part */ 534 nz = bi[i+1] - bi[i]; 535 bjtmp = bj + bi[i]; 536 for (j=0; j<nz; j++) { 537 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 538 } 539 540 /* U part */ 541 nz = bdiag[i] - bdiag[i+1]; 542 bjtmp = bj + bdiag[i+1]+1; 543 for (j=0; j<nz; j++) { 544 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 545 } 546 547 /* load in initial (unfactored row) */ 548 nz = ai[i+1] - ai[i]; 549 ajtmp = aj + ai[i]; 550 v = aa + bs2*ai[i]; 551 for (j=0; j<nz; j++) { 552 ierr = PetscMemcpy(rtmp+bs2*ajtmp[j],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr); 553 } 554 555 /* elimination */ 556 bjtmp = bj + bi[i]; 557 nzL = bi[i+1] - bi[i]; 558 for (k=0; k < nzL; k++) { 559 row = bjtmp[k]; 560 pc = rtmp + bs2*row; 561 for (flg=0,j=0; j<bs2; j++) { 562 if (pc[j]!=0.0) { 563 flg = 1; 564 break; 565 } 566 } 567 if (flg) { 568 pv = b->a + bs2*bdiag[row]; 569 /* PetscKernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 570 ierr = PetscKernel_A_gets_A_times_B_5(pc,pv,mwork);CHKERRQ(ierr); 571 572 pj = b->j + bdiag[row+1]+1; /* begining of U(row,:) */ 573 pv = b->a + bs2*(bdiag[row+1]+1); 574 nz = bdiag[row] - bdiag[row+1] - 1; /* num of entries inU(row,:), excluding diag */ 575 for (j=0; j<nz; j++) { 576 /* PetscKernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 577 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 578 vv = rtmp + bs2*pj[j]; 579 ierr = PetscKernel_A_gets_A_minus_B_times_C_5(vv,pc,pv);CHKERRQ(ierr); 580 pv += bs2; 581 } 582 ierr = PetscLogFlops(250*nz+225);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 583 } 584 } 585 586 /* finished row so stick it into b->a */ 587 /* L part */ 588 pv = b->a + bs2*bi[i]; 589 pj = b->j + bi[i]; 590 nz = bi[i+1] - bi[i]; 591 for (j=0; j<nz; j++) { 592 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 593 } 594 595 /* Mark diagonal and invert diagonal for simplier triangular solves */ 596 pv = b->a + bs2*bdiag[i]; 597 pj = b->j + bdiag[i]; 598 ierr = PetscMemcpy(pv,rtmp+bs2*pj[0],bs2*sizeof(MatScalar));CHKERRQ(ierr); 599 /* ierr = PetscKernel_A_gets_inverse_A(bs,pv,v_pivots,v_work);CHKERRQ(ierr); */ 600 allowzeropivot = PetscNot(A->erroriffailure); 601 ierr = PetscKernel_A_gets_inverse_A_5(pv,ipvt,work,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr); 602 if (zeropivotdetected) C->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 603 604 /* U part */ 605 pv = b->a + bs2*(bdiag[i+1]+1); 606 pj = b->j + bdiag[i+1]+1; 607 nz = bdiag[i] - bdiag[i+1] - 1; 608 for (j=0; j<nz; j++) { 609 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 610 } 611 } 612 ierr = PetscFree2(rtmp,mwork);CHKERRQ(ierr); 613 614 C->ops->solve = MatSolve_SeqBAIJ_5_NaturalOrdering; 615 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_5_NaturalOrdering; 616 C->assembled = PETSC_TRUE; 617 618 ierr = PetscLogFlops(1.333333333333*5*5*5*n);CHKERRQ(ierr); /* from inverting diagonal blocks */ 619 PetscFunctionReturn(0); 620 } 621