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