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 #undef __FUNCT__ 13 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_6_inplace" 14 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_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 *ajtmpold,*ajtmp,*diag_offset = b->diag,*r,*ic,*bi = b->i,*bj = b->j,*ai=a->i,*aj=a->j,*pj; 20 PetscInt nz,row,i,j,n = a->mbs,idx; 21 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 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 p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 28 MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 29 MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 30 MatScalar *ba = b->a,*aa = a->a; 31 PetscReal shift = info->shiftamount; 32 PetscBool zeropivotdetected; 33 34 PetscFunctionBegin; 35 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 36 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 37 ierr = PetscMalloc1(36*(n+1),&rtmp);CHKERRQ(ierr); 38 39 for (i=0; i<n; i++) { 40 nz = bi[i+1] - bi[i]; 41 ajtmp = bj + bi[i]; 42 for (j=0; j<nz; j++) { 43 x = rtmp+36*ajtmp[j]; 44 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 45 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 46 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0; 47 x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0; 48 x[34] = x[35] = 0.0; 49 } 50 /* load in initial (unfactored row) */ 51 idx = r[i]; 52 nz = ai[idx+1] - ai[idx]; 53 ajtmpold = aj + ai[idx]; 54 v = aa + 36*ai[idx]; 55 for (j=0; j<nz; j++) { 56 x = rtmp+36*ic[ajtmpold[j]]; 57 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 58 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 59 x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 60 x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 61 x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 62 x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 63 x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 64 x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 65 x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 66 v += 36; 67 } 68 row = *ajtmp++; 69 while (row < i) { 70 pc = rtmp + 36*row; 71 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 72 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 73 p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 74 p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 75 p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 76 p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 77 p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 78 p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 79 p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 80 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 81 p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 82 p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 83 p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 84 p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 85 p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 86 p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 87 p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 88 p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0) { 89 pv = ba + 36*diag_offset[row]; 90 pj = bj + diag_offset[row] + 1; 91 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 92 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 93 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 94 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 95 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 96 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 97 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 98 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 99 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 100 pc[0] = m1 = p1*x1 + p7*x2 + p13*x3 + p19*x4 + p25*x5 + p31*x6; 101 pc[1] = m2 = p2*x1 + p8*x2 + p14*x3 + p20*x4 + p26*x5 + p32*x6; 102 pc[2] = m3 = p3*x1 + p9*x2 + p15*x3 + p21*x4 + p27*x5 + p33*x6; 103 pc[3] = m4 = p4*x1 + p10*x2 + p16*x3 + p22*x4 + p28*x5 + p34*x6; 104 pc[4] = m5 = p5*x1 + p11*x2 + p17*x3 + p23*x4 + p29*x5 + p35*x6; 105 pc[5] = m6 = p6*x1 + p12*x2 + p18*x3 + p24*x4 + p30*x5 + p36*x6; 106 107 pc[6] = m7 = p1*x7 + p7*x8 + p13*x9 + p19*x10 + p25*x11 + p31*x12; 108 pc[7] = m8 = p2*x7 + p8*x8 + p14*x9 + p20*x10 + p26*x11 + p32*x12; 109 pc[8] = m9 = p3*x7 + p9*x8 + p15*x9 + p21*x10 + p27*x11 + p33*x12; 110 pc[9] = m10 = p4*x7 + p10*x8 + p16*x9 + p22*x10 + p28*x11 + p34*x12; 111 pc[10] = m11 = p5*x7 + p11*x8 + p17*x9 + p23*x10 + p29*x11 + p35*x12; 112 pc[11] = m12 = p6*x7 + p12*x8 + p18*x9 + p24*x10 + p30*x11 + p36*x12; 113 114 pc[12] = m13 = p1*x13 + p7*x14 + p13*x15 + p19*x16 + p25*x17 + p31*x18; 115 pc[13] = m14 = p2*x13 + p8*x14 + p14*x15 + p20*x16 + p26*x17 + p32*x18; 116 pc[14] = m15 = p3*x13 + p9*x14 + p15*x15 + p21*x16 + p27*x17 + p33*x18; 117 pc[15] = m16 = p4*x13 + p10*x14 + p16*x15 + p22*x16 + p28*x17 + p34*x18; 118 pc[16] = m17 = p5*x13 + p11*x14 + p17*x15 + p23*x16 + p29*x17 + p35*x18; 119 pc[17] = m18 = p6*x13 + p12*x14 + p18*x15 + p24*x16 + p30*x17 + p36*x18; 120 121 pc[18] = m19 = p1*x19 + p7*x20 + p13*x21 + p19*x22 + p25*x23 + p31*x24; 122 pc[19] = m20 = p2*x19 + p8*x20 + p14*x21 + p20*x22 + p26*x23 + p32*x24; 123 pc[20] = m21 = p3*x19 + p9*x20 + p15*x21 + p21*x22 + p27*x23 + p33*x24; 124 pc[21] = m22 = p4*x19 + p10*x20 + p16*x21 + p22*x22 + p28*x23 + p34*x24; 125 pc[22] = m23 = p5*x19 + p11*x20 + p17*x21 + p23*x22 + p29*x23 + p35*x24; 126 pc[23] = m24 = p6*x19 + p12*x20 + p18*x21 + p24*x22 + p30*x23 + p36*x24; 127 128 pc[24] = m25 = p1*x25 + p7*x26 + p13*x27 + p19*x28 + p25*x29 + p31*x30; 129 pc[25] = m26 = p2*x25 + p8*x26 + p14*x27 + p20*x28 + p26*x29 + p32*x30; 130 pc[26] = m27 = p3*x25 + p9*x26 + p15*x27 + p21*x28 + p27*x29 + p33*x30; 131 pc[27] = m28 = p4*x25 + p10*x26 + p16*x27 + p22*x28 + p28*x29 + p34*x30; 132 pc[28] = m29 = p5*x25 + p11*x26 + p17*x27 + p23*x28 + p29*x29 + p35*x30; 133 pc[29] = m30 = p6*x25 + p12*x26 + p18*x27 + p24*x28 + p30*x29 + p36*x30; 134 135 pc[30] = m31 = p1*x31 + p7*x32 + p13*x33 + p19*x34 + p25*x35 + p31*x36; 136 pc[31] = m32 = p2*x31 + p8*x32 + p14*x33 + p20*x34 + p26*x35 + p32*x36; 137 pc[32] = m33 = p3*x31 + p9*x32 + p15*x33 + p21*x34 + p27*x35 + p33*x36; 138 pc[33] = m34 = p4*x31 + p10*x32 + p16*x33 + p22*x34 + p28*x35 + p34*x36; 139 pc[34] = m35 = p5*x31 + p11*x32 + p17*x33 + p23*x34 + p29*x35 + p35*x36; 140 pc[35] = m36 = p6*x31 + p12*x32 + p18*x33 + p24*x34 + p30*x35 + p36*x36; 141 142 nz = bi[row+1] - diag_offset[row] - 1; 143 pv += 36; 144 for (j=0; j<nz; j++) { 145 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 146 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 147 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 148 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 149 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 150 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 151 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 152 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 153 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 154 x = rtmp + 36*pj[j]; 155 x[0] -= m1*x1 + m7*x2 + m13*x3 + m19*x4 + m25*x5 + m31*x6; 156 x[1] -= m2*x1 + m8*x2 + m14*x3 + m20*x4 + m26*x5 + m32*x6; 157 x[2] -= m3*x1 + m9*x2 + m15*x3 + m21*x4 + m27*x5 + m33*x6; 158 x[3] -= m4*x1 + m10*x2 + m16*x3 + m22*x4 + m28*x5 + m34*x6; 159 x[4] -= m5*x1 + m11*x2 + m17*x3 + m23*x4 + m29*x5 + m35*x6; 160 x[5] -= m6*x1 + m12*x2 + m18*x3 + m24*x4 + m30*x5 + m36*x6; 161 162 x[6] -= m1*x7 + m7*x8 + m13*x9 + m19*x10 + m25*x11 + m31*x12; 163 x[7] -= m2*x7 + m8*x8 + m14*x9 + m20*x10 + m26*x11 + m32*x12; 164 x[8] -= m3*x7 + m9*x8 + m15*x9 + m21*x10 + m27*x11 + m33*x12; 165 x[9] -= m4*x7 + m10*x8 + m16*x9 + m22*x10 + m28*x11 + m34*x12; 166 x[10] -= m5*x7 + m11*x8 + m17*x9 + m23*x10 + m29*x11 + m35*x12; 167 x[11] -= m6*x7 + m12*x8 + m18*x9 + m24*x10 + m30*x11 + m36*x12; 168 169 x[12] -= m1*x13 + m7*x14 + m13*x15 + m19*x16 + m25*x17 + m31*x18; 170 x[13] -= m2*x13 + m8*x14 + m14*x15 + m20*x16 + m26*x17 + m32*x18; 171 x[14] -= m3*x13 + m9*x14 + m15*x15 + m21*x16 + m27*x17 + m33*x18; 172 x[15] -= m4*x13 + m10*x14 + m16*x15 + m22*x16 + m28*x17 + m34*x18; 173 x[16] -= m5*x13 + m11*x14 + m17*x15 + m23*x16 + m29*x17 + m35*x18; 174 x[17] -= m6*x13 + m12*x14 + m18*x15 + m24*x16 + m30*x17 + m36*x18; 175 176 x[18] -= m1*x19 + m7*x20 + m13*x21 + m19*x22 + m25*x23 + m31*x24; 177 x[19] -= m2*x19 + m8*x20 + m14*x21 + m20*x22 + m26*x23 + m32*x24; 178 x[20] -= m3*x19 + m9*x20 + m15*x21 + m21*x22 + m27*x23 + m33*x24; 179 x[21] -= m4*x19 + m10*x20 + m16*x21 + m22*x22 + m28*x23 + m34*x24; 180 x[22] -= m5*x19 + m11*x20 + m17*x21 + m23*x22 + m29*x23 + m35*x24; 181 x[23] -= m6*x19 + m12*x20 + m18*x21 + m24*x22 + m30*x23 + m36*x24; 182 183 x[24] -= m1*x25 + m7*x26 + m13*x27 + m19*x28 + m25*x29 + m31*x30; 184 x[25] -= m2*x25 + m8*x26 + m14*x27 + m20*x28 + m26*x29 + m32*x30; 185 x[26] -= m3*x25 + m9*x26 + m15*x27 + m21*x28 + m27*x29 + m33*x30; 186 x[27] -= m4*x25 + m10*x26 + m16*x27 + m22*x28 + m28*x29 + m34*x30; 187 x[28] -= m5*x25 + m11*x26 + m17*x27 + m23*x28 + m29*x29 + m35*x30; 188 x[29] -= m6*x25 + m12*x26 + m18*x27 + m24*x28 + m30*x29 + m36*x30; 189 190 x[30] -= m1*x31 + m7*x32 + m13*x33 + m19*x34 + m25*x35 + m31*x36; 191 x[31] -= m2*x31 + m8*x32 + m14*x33 + m20*x34 + m26*x35 + m32*x36; 192 x[32] -= m3*x31 + m9*x32 + m15*x33 + m21*x34 + m27*x35 + m33*x36; 193 x[33] -= m4*x31 + m10*x32 + m16*x33 + m22*x34 + m28*x35 + m34*x36; 194 x[34] -= m5*x31 + m11*x32 + m17*x33 + m23*x34 + m29*x35 + m35*x36; 195 x[35] -= m6*x31 + m12*x32 + m18*x33 + m24*x34 + m30*x35 + m36*x36; 196 197 pv += 36; 198 } 199 ierr = PetscLogFlops(432.0*nz+396.0);CHKERRQ(ierr); 200 } 201 row = *ajtmp++; 202 } 203 /* finished row so stick it into b->a */ 204 pv = ba + 36*bi[i]; 205 pj = bj + bi[i]; 206 nz = bi[i+1] - bi[i]; 207 for (j=0; j<nz; j++) { 208 x = rtmp+36*pj[j]; 209 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 210 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 211 pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 212 pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 213 pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 214 pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 215 pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 216 pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 217 pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 218 pv += 36; 219 } 220 /* invert diagonal block */ 221 w = ba + 36*diag_offset[i]; 222 ierr = PetscKernel_A_gets_inverse_A_6(w,shift,!A->erroriffailure,&zeropivotdetected);CHKERRQ(ierr); 223 if (zeropivotdetected) C->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 224 } 225 226 ierr = PetscFree(rtmp);CHKERRQ(ierr); 227 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 228 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 229 230 C->ops->solve = MatSolve_SeqBAIJ_6_inplace; 231 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_6_inplace; 232 C->assembled = PETSC_TRUE; 233 234 ierr = PetscLogFlops(1.333333333333*6*6*6*b->mbs);CHKERRQ(ierr); /* from inverting diagonal blocks */ 235 PetscFunctionReturn(0); 236 } 237 238 #undef __FUNCT__ 239 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_6" 240 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6(Mat B,Mat A,const MatFactorInfo *info) 241 { 242 Mat C = B; 243 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ*)C->data; 244 IS isrow = b->row,isicol = b->icol; 245 PetscErrorCode ierr; 246 const PetscInt *r,*ic; 247 PetscInt i,j,k,nz,nzL,row; 248 const PetscInt n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j; 249 const PetscInt *ajtmp,*bjtmp,*bdiag=b->diag,*pj,bs2=a->bs2; 250 MatScalar *rtmp,*pc,*mwork,*v,*pv,*aa=a->a; 251 PetscInt flg; 252 PetscReal shift = info->shiftamount; 253 PetscBool zeropivotdetected; 254 255 PetscFunctionBegin; 256 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 257 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 258 259 /* generate work space needed by the factorization */ 260 ierr = PetscMalloc2(bs2*n,&rtmp,bs2,&mwork);CHKERRQ(ierr); 261 ierr = PetscMemzero(rtmp,bs2*n*sizeof(MatScalar));CHKERRQ(ierr); 262 263 for (i=0; i<n; i++) { 264 /* zero rtmp */ 265 /* L part */ 266 nz = bi[i+1] - bi[i]; 267 bjtmp = bj + bi[i]; 268 for (j=0; j<nz; j++) { 269 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 270 } 271 272 /* U part */ 273 nz = bdiag[i] - bdiag[i+1]; 274 bjtmp = bj + bdiag[i+1]+1; 275 for (j=0; j<nz; j++) { 276 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 277 } 278 279 /* load in initial (unfactored row) */ 280 nz = ai[r[i]+1] - ai[r[i]]; 281 ajtmp = aj + ai[r[i]]; 282 v = aa + bs2*ai[r[i]]; 283 for (j=0; j<nz; j++) { 284 ierr = PetscMemcpy(rtmp+bs2*ic[ajtmp[j]],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr); 285 } 286 287 /* elimination */ 288 bjtmp = bj + bi[i]; 289 nzL = bi[i+1] - bi[i]; 290 for (k=0; k < nzL; k++) { 291 row = bjtmp[k]; 292 pc = rtmp + bs2*row; 293 for (flg=0,j=0; j<bs2; j++) { 294 if (pc[j]!=0.0) { 295 flg = 1; 296 break; 297 } 298 } 299 if (flg) { 300 pv = b->a + bs2*bdiag[row]; 301 /* PetscKernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 302 ierr = PetscKernel_A_gets_A_times_B_6(pc,pv,mwork);CHKERRQ(ierr); 303 304 pj = b->j + bdiag[row+1]+1; /* begining of U(row,:) */ 305 pv = b->a + bs2*(bdiag[row+1]+1); 306 nz = bdiag[row] - bdiag[row+1] - 1; /* num of entries inU(row,:), excluding diag */ 307 for (j=0; j<nz; j++) { 308 /* PetscKernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 309 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 310 v = rtmp + bs2*pj[j]; 311 ierr = PetscKernel_A_gets_A_minus_B_times_C_6(v,pc,pv);CHKERRQ(ierr); 312 pv += bs2; 313 } 314 ierr = PetscLogFlops(432*nz+396);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 315 } 316 } 317 318 /* finished row so stick it into b->a */ 319 /* L part */ 320 pv = b->a + bs2*bi[i]; 321 pj = b->j + bi[i]; 322 nz = bi[i+1] - bi[i]; 323 for (j=0; j<nz; j++) { 324 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 325 } 326 327 /* Mark diagonal and invert diagonal for simplier triangular solves */ 328 pv = b->a + bs2*bdiag[i]; 329 pj = b->j + bdiag[i]; 330 ierr = PetscMemcpy(pv,rtmp+bs2*pj[0],bs2*sizeof(MatScalar));CHKERRQ(ierr); 331 /* ierr = PetscKernel_A_gets_inverse_A(bs,pv,v_pivots,v_work);CHKERRQ(ierr); */ 332 ierr = PetscKernel_A_gets_inverse_A_6(pv,shift,!A->erroriffailure,&zeropivotdetected);CHKERRQ(ierr); 333 if (zeropivotdetected) C->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 334 335 /* U part */ 336 pv = b->a + bs2*(bdiag[i+1]+1); 337 pj = b->j + bdiag[i+1]+1; 338 nz = bdiag[i] - bdiag[i+1] - 1; 339 for (j=0; j<nz; j++) { 340 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 341 } 342 } 343 344 ierr = PetscFree2(rtmp,mwork);CHKERRQ(ierr); 345 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 346 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 347 348 C->ops->solve = MatSolve_SeqBAIJ_6; 349 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_6; 350 C->assembled = PETSC_TRUE; 351 352 ierr = PetscLogFlops(1.333333333333*6*6*6*n);CHKERRQ(ierr); /* from inverting diagonal blocks */ 353 PetscFunctionReturn(0); 354 } 355 356 #undef __FUNCT__ 357 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering_inplace" 358 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering_inplace(Mat C,Mat A,const MatFactorInfo *info) 359 { 360 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ*)C->data; 361 PetscErrorCode ierr; 362 PetscInt i,j,n = a->mbs,*bi = b->i,*bj = b->j; 363 PetscInt *ajtmpold,*ajtmp,nz,row; 364 PetscInt *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 365 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 366 MatScalar x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15; 367 MatScalar x16,x17,x18,x19,x20,x21,x22,x23,x24,x25; 368 MatScalar p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15; 369 MatScalar p16,p17,p18,p19,p20,p21,p22,p23,p24,p25; 370 MatScalar m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15; 371 MatScalar m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 372 MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 373 MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 374 MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 375 MatScalar *ba = b->a,*aa = a->a; 376 PetscReal shift = info->shiftamount; 377 PetscBool zeropivotdetected; 378 379 PetscFunctionBegin; 380 ierr = PetscMalloc1(36*(n+1),&rtmp);CHKERRQ(ierr); 381 for (i=0; i<n; i++) { 382 nz = bi[i+1] - bi[i]; 383 ajtmp = bj + bi[i]; 384 for (j=0; j<nz; j++) { 385 x = rtmp+36*ajtmp[j]; 386 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 387 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 388 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0; 389 x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0; 390 x[34] = x[35] = 0.0; 391 } 392 /* load in initial (unfactored row) */ 393 nz = ai[i+1] - ai[i]; 394 ajtmpold = aj + ai[i]; 395 v = aa + 36*ai[i]; 396 for (j=0; j<nz; j++) { 397 x = rtmp+36*ajtmpold[j]; 398 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 399 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 400 x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 401 x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 402 x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 403 x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 404 x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 405 x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 406 x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 407 v += 36; 408 } 409 row = *ajtmp++; 410 while (row < i) { 411 pc = rtmp + 36*row; 412 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 413 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 414 p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 415 p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 416 p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 417 p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 418 p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 419 p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 420 p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 421 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 422 p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 423 p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 424 p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 425 p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 426 p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 427 p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 428 p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 429 p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0) { 430 pv = ba + 36*diag_offset[row]; 431 pj = bj + diag_offset[row] + 1; 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]; 434 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 435 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 436 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 437 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 438 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 439 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 440 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 441 pc[0] = m1 = p1*x1 + p7*x2 + p13*x3 + p19*x4 + p25*x5 + p31*x6; 442 pc[1] = m2 = p2*x1 + p8*x2 + p14*x3 + p20*x4 + p26*x5 + p32*x6; 443 pc[2] = m3 = p3*x1 + p9*x2 + p15*x3 + p21*x4 + p27*x5 + p33*x6; 444 pc[3] = m4 = p4*x1 + p10*x2 + p16*x3 + p22*x4 + p28*x5 + p34*x6; 445 pc[4] = m5 = p5*x1 + p11*x2 + p17*x3 + p23*x4 + p29*x5 + p35*x6; 446 pc[5] = m6 = p6*x1 + p12*x2 + p18*x3 + p24*x4 + p30*x5 + p36*x6; 447 448 pc[6] = m7 = p1*x7 + p7*x8 + p13*x9 + p19*x10 + p25*x11 + p31*x12; 449 pc[7] = m8 = p2*x7 + p8*x8 + p14*x9 + p20*x10 + p26*x11 + p32*x12; 450 pc[8] = m9 = p3*x7 + p9*x8 + p15*x9 + p21*x10 + p27*x11 + p33*x12; 451 pc[9] = m10 = p4*x7 + p10*x8 + p16*x9 + p22*x10 + p28*x11 + p34*x12; 452 pc[10] = m11 = p5*x7 + p11*x8 + p17*x9 + p23*x10 + p29*x11 + p35*x12; 453 pc[11] = m12 = p6*x7 + p12*x8 + p18*x9 + p24*x10 + p30*x11 + p36*x12; 454 455 pc[12] = m13 = p1*x13 + p7*x14 + p13*x15 + p19*x16 + p25*x17 + p31*x18; 456 pc[13] = m14 = p2*x13 + p8*x14 + p14*x15 + p20*x16 + p26*x17 + p32*x18; 457 pc[14] = m15 = p3*x13 + p9*x14 + p15*x15 + p21*x16 + p27*x17 + p33*x18; 458 pc[15] = m16 = p4*x13 + p10*x14 + p16*x15 + p22*x16 + p28*x17 + p34*x18; 459 pc[16] = m17 = p5*x13 + p11*x14 + p17*x15 + p23*x16 + p29*x17 + p35*x18; 460 pc[17] = m18 = p6*x13 + p12*x14 + p18*x15 + p24*x16 + p30*x17 + p36*x18; 461 462 pc[18] = m19 = p1*x19 + p7*x20 + p13*x21 + p19*x22 + p25*x23 + p31*x24; 463 pc[19] = m20 = p2*x19 + p8*x20 + p14*x21 + p20*x22 + p26*x23 + p32*x24; 464 pc[20] = m21 = p3*x19 + p9*x20 + p15*x21 + p21*x22 + p27*x23 + p33*x24; 465 pc[21] = m22 = p4*x19 + p10*x20 + p16*x21 + p22*x22 + p28*x23 + p34*x24; 466 pc[22] = m23 = p5*x19 + p11*x20 + p17*x21 + p23*x22 + p29*x23 + p35*x24; 467 pc[23] = m24 = p6*x19 + p12*x20 + p18*x21 + p24*x22 + p30*x23 + p36*x24; 468 469 pc[24] = m25 = p1*x25 + p7*x26 + p13*x27 + p19*x28 + p25*x29 + p31*x30; 470 pc[25] = m26 = p2*x25 + p8*x26 + p14*x27 + p20*x28 + p26*x29 + p32*x30; 471 pc[26] = m27 = p3*x25 + p9*x26 + p15*x27 + p21*x28 + p27*x29 + p33*x30; 472 pc[27] = m28 = p4*x25 + p10*x26 + p16*x27 + p22*x28 + p28*x29 + p34*x30; 473 pc[28] = m29 = p5*x25 + p11*x26 + p17*x27 + p23*x28 + p29*x29 + p35*x30; 474 pc[29] = m30 = p6*x25 + p12*x26 + p18*x27 + p24*x28 + p30*x29 + p36*x30; 475 476 pc[30] = m31 = p1*x31 + p7*x32 + p13*x33 + p19*x34 + p25*x35 + p31*x36; 477 pc[31] = m32 = p2*x31 + p8*x32 + p14*x33 + p20*x34 + p26*x35 + p32*x36; 478 pc[32] = m33 = p3*x31 + p9*x32 + p15*x33 + p21*x34 + p27*x35 + p33*x36; 479 pc[33] = m34 = p4*x31 + p10*x32 + p16*x33 + p22*x34 + p28*x35 + p34*x36; 480 pc[34] = m35 = p5*x31 + p11*x32 + p17*x33 + p23*x34 + p29*x35 + p35*x36; 481 pc[35] = m36 = p6*x31 + p12*x32 + p18*x33 + p24*x34 + p30*x35 + p36*x36; 482 483 nz = bi[row+1] - diag_offset[row] - 1; 484 pv += 36; 485 for (j=0; j<nz; j++) { 486 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 487 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 488 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 489 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 490 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 491 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 492 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 493 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 494 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 495 x = rtmp + 36*pj[j]; 496 x[0] -= m1*x1 + m7*x2 + m13*x3 + m19*x4 + m25*x5 + m31*x6; 497 x[1] -= m2*x1 + m8*x2 + m14*x3 + m20*x4 + m26*x5 + m32*x6; 498 x[2] -= m3*x1 + m9*x2 + m15*x3 + m21*x4 + m27*x5 + m33*x6; 499 x[3] -= m4*x1 + m10*x2 + m16*x3 + m22*x4 + m28*x5 + m34*x6; 500 x[4] -= m5*x1 + m11*x2 + m17*x3 + m23*x4 + m29*x5 + m35*x6; 501 x[5] -= m6*x1 + m12*x2 + m18*x3 + m24*x4 + m30*x5 + m36*x6; 502 503 x[6] -= m1*x7 + m7*x8 + m13*x9 + m19*x10 + m25*x11 + m31*x12; 504 x[7] -= m2*x7 + m8*x8 + m14*x9 + m20*x10 + m26*x11 + m32*x12; 505 x[8] -= m3*x7 + m9*x8 + m15*x9 + m21*x10 + m27*x11 + m33*x12; 506 x[9] -= m4*x7 + m10*x8 + m16*x9 + m22*x10 + m28*x11 + m34*x12; 507 x[10] -= m5*x7 + m11*x8 + m17*x9 + m23*x10 + m29*x11 + m35*x12; 508 x[11] -= m6*x7 + m12*x8 + m18*x9 + m24*x10 + m30*x11 + m36*x12; 509 510 x[12] -= m1*x13 + m7*x14 + m13*x15 + m19*x16 + m25*x17 + m31*x18; 511 x[13] -= m2*x13 + m8*x14 + m14*x15 + m20*x16 + m26*x17 + m32*x18; 512 x[14] -= m3*x13 + m9*x14 + m15*x15 + m21*x16 + m27*x17 + m33*x18; 513 x[15] -= m4*x13 + m10*x14 + m16*x15 + m22*x16 + m28*x17 + m34*x18; 514 x[16] -= m5*x13 + m11*x14 + m17*x15 + m23*x16 + m29*x17 + m35*x18; 515 x[17] -= m6*x13 + m12*x14 + m18*x15 + m24*x16 + m30*x17 + m36*x18; 516 517 x[18] -= m1*x19 + m7*x20 + m13*x21 + m19*x22 + m25*x23 + m31*x24; 518 x[19] -= m2*x19 + m8*x20 + m14*x21 + m20*x22 + m26*x23 + m32*x24; 519 x[20] -= m3*x19 + m9*x20 + m15*x21 + m21*x22 + m27*x23 + m33*x24; 520 x[21] -= m4*x19 + m10*x20 + m16*x21 + m22*x22 + m28*x23 + m34*x24; 521 x[22] -= m5*x19 + m11*x20 + m17*x21 + m23*x22 + m29*x23 + m35*x24; 522 x[23] -= m6*x19 + m12*x20 + m18*x21 + m24*x22 + m30*x23 + m36*x24; 523 524 x[24] -= m1*x25 + m7*x26 + m13*x27 + m19*x28 + m25*x29 + m31*x30; 525 x[25] -= m2*x25 + m8*x26 + m14*x27 + m20*x28 + m26*x29 + m32*x30; 526 x[26] -= m3*x25 + m9*x26 + m15*x27 + m21*x28 + m27*x29 + m33*x30; 527 x[27] -= m4*x25 + m10*x26 + m16*x27 + m22*x28 + m28*x29 + m34*x30; 528 x[28] -= m5*x25 + m11*x26 + m17*x27 + m23*x28 + m29*x29 + m35*x30; 529 x[29] -= m6*x25 + m12*x26 + m18*x27 + m24*x28 + m30*x29 + m36*x30; 530 531 x[30] -= m1*x31 + m7*x32 + m13*x33 + m19*x34 + m25*x35 + m31*x36; 532 x[31] -= m2*x31 + m8*x32 + m14*x33 + m20*x34 + m26*x35 + m32*x36; 533 x[32] -= m3*x31 + m9*x32 + m15*x33 + m21*x34 + m27*x35 + m33*x36; 534 x[33] -= m4*x31 + m10*x32 + m16*x33 + m22*x34 + m28*x35 + m34*x36; 535 x[34] -= m5*x31 + m11*x32 + m17*x33 + m23*x34 + m29*x35 + m35*x36; 536 x[35] -= m6*x31 + m12*x32 + m18*x33 + m24*x34 + m30*x35 + m36*x36; 537 538 pv += 36; 539 } 540 ierr = PetscLogFlops(432.0*nz+396.0);CHKERRQ(ierr); 541 } 542 row = *ajtmp++; 543 } 544 /* finished row so stick it into b->a */ 545 pv = ba + 36*bi[i]; 546 pj = bj + bi[i]; 547 nz = bi[i+1] - bi[i]; 548 for (j=0; j<nz; j++) { 549 x = rtmp+36*pj[j]; 550 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 551 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 552 pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 553 pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 554 pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 555 pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 556 pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 557 pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 558 pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 559 pv += 36; 560 } 561 /* invert diagonal block */ 562 w = ba + 36*diag_offset[i]; 563 ierr = PetscKernel_A_gets_inverse_A_6(w,shift,!A->erroriffailure,&zeropivotdetected);CHKERRQ(ierr); 564 if (zeropivotdetected) C->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 565 } 566 567 ierr = PetscFree(rtmp);CHKERRQ(ierr); 568 569 C->ops->solve = MatSolve_SeqBAIJ_6_NaturalOrdering_inplace; 570 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_6_NaturalOrdering_inplace; 571 C->assembled = PETSC_TRUE; 572 573 ierr = PetscLogFlops(1.333333333333*6*6*6*b->mbs);CHKERRQ(ierr); /* from inverting diagonal blocks */ 574 PetscFunctionReturn(0); 575 } 576 577 #undef __FUNCT__ 578 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering" 579 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering(Mat B,Mat A,const MatFactorInfo *info) 580 { 581 Mat C =B; 582 Mat_SeqBAIJ *a=(Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ*)C->data; 583 PetscErrorCode ierr; 584 PetscInt i,j,k,nz,nzL,row; 585 const PetscInt n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j; 586 const PetscInt *ajtmp,*bjtmp,*bdiag=b->diag,*pj,bs2=a->bs2; 587 MatScalar *rtmp,*pc,*mwork,*v,*pv,*aa=a->a; 588 PetscInt flg; 589 PetscReal shift = info->shiftamount; 590 PetscBool zeropivotdetected; 591 592 PetscFunctionBegin; 593 /* generate work space needed by the factorization */ 594 ierr = PetscMalloc2(bs2*n,&rtmp,bs2,&mwork);CHKERRQ(ierr); 595 ierr = PetscMemzero(rtmp,bs2*n*sizeof(MatScalar));CHKERRQ(ierr); 596 597 for (i=0; i<n; i++) { 598 /* zero rtmp */ 599 /* L part */ 600 nz = bi[i+1] - bi[i]; 601 bjtmp = bj + bi[i]; 602 for (j=0; j<nz; j++) { 603 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 604 } 605 606 /* U part */ 607 nz = bdiag[i] - bdiag[i+1]; 608 bjtmp = bj + bdiag[i+1]+1; 609 for (j=0; j<nz; j++) { 610 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 611 } 612 613 /* load in initial (unfactored row) */ 614 nz = ai[i+1] - ai[i]; 615 ajtmp = aj + ai[i]; 616 v = aa + bs2*ai[i]; 617 for (j=0; j<nz; j++) { 618 ierr = PetscMemcpy(rtmp+bs2*ajtmp[j],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr); 619 } 620 621 /* elimination */ 622 bjtmp = bj + bi[i]; 623 nzL = bi[i+1] - bi[i]; 624 for (k=0; k < nzL; k++) { 625 row = bjtmp[k]; 626 pc = rtmp + bs2*row; 627 for (flg=0,j=0; j<bs2; j++) { 628 if (pc[j]!=0.0) { 629 flg = 1; 630 break; 631 } 632 } 633 if (flg) { 634 pv = b->a + bs2*bdiag[row]; 635 /* PetscKernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 636 ierr = PetscKernel_A_gets_A_times_B_6(pc,pv,mwork);CHKERRQ(ierr); 637 638 pj = b->j + bdiag[row+1]+1; /* begining of U(row,:) */ 639 pv = b->a + bs2*(bdiag[row+1]+1); 640 nz = bdiag[row] - bdiag[row+1] - 1; /* num of entries inU(row,:), excluding diag */ 641 for (j=0; j<nz; j++) { 642 /* PetscKernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 643 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 644 v = rtmp + bs2*pj[j]; 645 ierr = PetscKernel_A_gets_A_minus_B_times_C_6(v,pc,pv);CHKERRQ(ierr); 646 pv += bs2; 647 } 648 ierr = PetscLogFlops(432*nz+396);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 649 } 650 } 651 652 /* finished row so stick it into b->a */ 653 /* L part */ 654 pv = b->a + bs2*bi[i]; 655 pj = b->j + bi[i]; 656 nz = bi[i+1] - bi[i]; 657 for (j=0; j<nz; j++) { 658 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 659 } 660 661 /* Mark diagonal and invert diagonal for simplier triangular solves */ 662 pv = b->a + bs2*bdiag[i]; 663 pj = b->j + bdiag[i]; 664 ierr = PetscMemcpy(pv,rtmp+bs2*pj[0],bs2*sizeof(MatScalar));CHKERRQ(ierr); 665 /* ierr = PetscKernel_A_gets_inverse_A(bs,pv,v_pivots,v_work);CHKERRQ(ierr); */ 666 ierr = PetscKernel_A_gets_inverse_A_6(pv,shift,!A->erroriffailure,&zeropivotdetected);CHKERRQ(ierr); 667 if (zeropivotdetected) C->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 668 669 /* U part */ 670 pv = b->a + bs2*(bdiag[i+1]+1); 671 pj = b->j + bdiag[i+1]+1; 672 nz = bdiag[i] - bdiag[i+1] - 1; 673 for (j=0; j<nz; j++) { 674 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 675 } 676 } 677 ierr = PetscFree2(rtmp,mwork);CHKERRQ(ierr); 678 679 C->ops->solve = MatSolve_SeqBAIJ_6_NaturalOrdering; 680 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_6_NaturalOrdering; 681 C->assembled = PETSC_TRUE; 682 683 ierr = PetscLogFlops(1.333333333333*6*6*6*n);CHKERRQ(ierr); /* from inverting diagonal blocks */ 684 PetscFunctionReturn(0); 685 } 686