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 allowzeropivot,zeropivotdetected; 33 34 PetscFunctionBegin; 35 allowzeropivot = PetscNot(A->erroriffailure); 36 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 37 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 38 ierr = PetscMalloc1(36*(n+1),&rtmp);CHKERRQ(ierr); 39 40 for (i=0; i<n; i++) { 41 nz = bi[i+1] - bi[i]; 42 ajtmp = bj + bi[i]; 43 for (j=0; j<nz; j++) { 44 x = rtmp+36*ajtmp[j]; 45 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 46 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 47 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0; 48 x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0; 49 x[34] = x[35] = 0.0; 50 } 51 /* load in initial (unfactored row) */ 52 idx = r[i]; 53 nz = ai[idx+1] - ai[idx]; 54 ajtmpold = aj + ai[idx]; 55 v = aa + 36*ai[idx]; 56 for (j=0; j<nz; j++) { 57 x = rtmp+36*ic[ajtmpold[j]]; 58 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 59 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 60 x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 61 x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 62 x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 63 x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 64 x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 65 x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 66 x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 67 v += 36; 68 } 69 row = *ajtmp++; 70 while (row < i) { 71 pc = rtmp + 36*row; 72 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 73 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 74 p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 75 p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 76 p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 77 p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 78 p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 79 p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 80 p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 81 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 82 p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 83 p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 84 p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 85 p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 86 p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 87 p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 88 p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 89 p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0) { 90 pv = ba + 36*diag_offset[row]; 91 pj = bj + diag_offset[row] + 1; 92 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 93 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 94 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 95 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 96 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 97 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 98 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 99 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 100 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 101 pc[0] = m1 = p1*x1 + p7*x2 + p13*x3 + p19*x4 + p25*x5 + p31*x6; 102 pc[1] = m2 = p2*x1 + p8*x2 + p14*x3 + p20*x4 + p26*x5 + p32*x6; 103 pc[2] = m3 = p3*x1 + p9*x2 + p15*x3 + p21*x4 + p27*x5 + p33*x6; 104 pc[3] = m4 = p4*x1 + p10*x2 + p16*x3 + p22*x4 + p28*x5 + p34*x6; 105 pc[4] = m5 = p5*x1 + p11*x2 + p17*x3 + p23*x4 + p29*x5 + p35*x6; 106 pc[5] = m6 = p6*x1 + p12*x2 + p18*x3 + p24*x4 + p30*x5 + p36*x6; 107 108 pc[6] = m7 = p1*x7 + p7*x8 + p13*x9 + p19*x10 + p25*x11 + p31*x12; 109 pc[7] = m8 = p2*x7 + p8*x8 + p14*x9 + p20*x10 + p26*x11 + p32*x12; 110 pc[8] = m9 = p3*x7 + p9*x8 + p15*x9 + p21*x10 + p27*x11 + p33*x12; 111 pc[9] = m10 = p4*x7 + p10*x8 + p16*x9 + p22*x10 + p28*x11 + p34*x12; 112 pc[10] = m11 = p5*x7 + p11*x8 + p17*x9 + p23*x10 + p29*x11 + p35*x12; 113 pc[11] = m12 = p6*x7 + p12*x8 + p18*x9 + p24*x10 + p30*x11 + p36*x12; 114 115 pc[12] = m13 = p1*x13 + p7*x14 + p13*x15 + p19*x16 + p25*x17 + p31*x18; 116 pc[13] = m14 = p2*x13 + p8*x14 + p14*x15 + p20*x16 + p26*x17 + p32*x18; 117 pc[14] = m15 = p3*x13 + p9*x14 + p15*x15 + p21*x16 + p27*x17 + p33*x18; 118 pc[15] = m16 = p4*x13 + p10*x14 + p16*x15 + p22*x16 + p28*x17 + p34*x18; 119 pc[16] = m17 = p5*x13 + p11*x14 + p17*x15 + p23*x16 + p29*x17 + p35*x18; 120 pc[17] = m18 = p6*x13 + p12*x14 + p18*x15 + p24*x16 + p30*x17 + p36*x18; 121 122 pc[18] = m19 = p1*x19 + p7*x20 + p13*x21 + p19*x22 + p25*x23 + p31*x24; 123 pc[19] = m20 = p2*x19 + p8*x20 + p14*x21 + p20*x22 + p26*x23 + p32*x24; 124 pc[20] = m21 = p3*x19 + p9*x20 + p15*x21 + p21*x22 + p27*x23 + p33*x24; 125 pc[21] = m22 = p4*x19 + p10*x20 + p16*x21 + p22*x22 + p28*x23 + p34*x24; 126 pc[22] = m23 = p5*x19 + p11*x20 + p17*x21 + p23*x22 + p29*x23 + p35*x24; 127 pc[23] = m24 = p6*x19 + p12*x20 + p18*x21 + p24*x22 + p30*x23 + p36*x24; 128 129 pc[24] = m25 = p1*x25 + p7*x26 + p13*x27 + p19*x28 + p25*x29 + p31*x30; 130 pc[25] = m26 = p2*x25 + p8*x26 + p14*x27 + p20*x28 + p26*x29 + p32*x30; 131 pc[26] = m27 = p3*x25 + p9*x26 + p15*x27 + p21*x28 + p27*x29 + p33*x30; 132 pc[27] = m28 = p4*x25 + p10*x26 + p16*x27 + p22*x28 + p28*x29 + p34*x30; 133 pc[28] = m29 = p5*x25 + p11*x26 + p17*x27 + p23*x28 + p29*x29 + p35*x30; 134 pc[29] = m30 = p6*x25 + p12*x26 + p18*x27 + p24*x28 + p30*x29 + p36*x30; 135 136 pc[30] = m31 = p1*x31 + p7*x32 + p13*x33 + p19*x34 + p25*x35 + p31*x36; 137 pc[31] = m32 = p2*x31 + p8*x32 + p14*x33 + p20*x34 + p26*x35 + p32*x36; 138 pc[32] = m33 = p3*x31 + p9*x32 + p15*x33 + p21*x34 + p27*x35 + p33*x36; 139 pc[33] = m34 = p4*x31 + p10*x32 + p16*x33 + p22*x34 + p28*x35 + p34*x36; 140 pc[34] = m35 = p5*x31 + p11*x32 + p17*x33 + p23*x34 + p29*x35 + p35*x36; 141 pc[35] = m36 = p6*x31 + p12*x32 + p18*x33 + p24*x34 + p30*x35 + p36*x36; 142 143 nz = bi[row+1] - diag_offset[row] - 1; 144 pv += 36; 145 for (j=0; j<nz; j++) { 146 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 147 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 148 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 149 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 150 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 151 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 152 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 153 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 154 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 155 x = rtmp + 36*pj[j]; 156 x[0] -= m1*x1 + m7*x2 + m13*x3 + m19*x4 + m25*x5 + m31*x6; 157 x[1] -= m2*x1 + m8*x2 + m14*x3 + m20*x4 + m26*x5 + m32*x6; 158 x[2] -= m3*x1 + m9*x2 + m15*x3 + m21*x4 + m27*x5 + m33*x6; 159 x[3] -= m4*x1 + m10*x2 + m16*x3 + m22*x4 + m28*x5 + m34*x6; 160 x[4] -= m5*x1 + m11*x2 + m17*x3 + m23*x4 + m29*x5 + m35*x6; 161 x[5] -= m6*x1 + m12*x2 + m18*x3 + m24*x4 + m30*x5 + m36*x6; 162 163 x[6] -= m1*x7 + m7*x8 + m13*x9 + m19*x10 + m25*x11 + m31*x12; 164 x[7] -= m2*x7 + m8*x8 + m14*x9 + m20*x10 + m26*x11 + m32*x12; 165 x[8] -= m3*x7 + m9*x8 + m15*x9 + m21*x10 + m27*x11 + m33*x12; 166 x[9] -= m4*x7 + m10*x8 + m16*x9 + m22*x10 + m28*x11 + m34*x12; 167 x[10] -= m5*x7 + m11*x8 + m17*x9 + m23*x10 + m29*x11 + m35*x12; 168 x[11] -= m6*x7 + m12*x8 + m18*x9 + m24*x10 + m30*x11 + m36*x12; 169 170 x[12] -= m1*x13 + m7*x14 + m13*x15 + m19*x16 + m25*x17 + m31*x18; 171 x[13] -= m2*x13 + m8*x14 + m14*x15 + m20*x16 + m26*x17 + m32*x18; 172 x[14] -= m3*x13 + m9*x14 + m15*x15 + m21*x16 + m27*x17 + m33*x18; 173 x[15] -= m4*x13 + m10*x14 + m16*x15 + m22*x16 + m28*x17 + m34*x18; 174 x[16] -= m5*x13 + m11*x14 + m17*x15 + m23*x16 + m29*x17 + m35*x18; 175 x[17] -= m6*x13 + m12*x14 + m18*x15 + m24*x16 + m30*x17 + m36*x18; 176 177 x[18] -= m1*x19 + m7*x20 + m13*x21 + m19*x22 + m25*x23 + m31*x24; 178 x[19] -= m2*x19 + m8*x20 + m14*x21 + m20*x22 + m26*x23 + m32*x24; 179 x[20] -= m3*x19 + m9*x20 + m15*x21 + m21*x22 + m27*x23 + m33*x24; 180 x[21] -= m4*x19 + m10*x20 + m16*x21 + m22*x22 + m28*x23 + m34*x24; 181 x[22] -= m5*x19 + m11*x20 + m17*x21 + m23*x22 + m29*x23 + m35*x24; 182 x[23] -= m6*x19 + m12*x20 + m18*x21 + m24*x22 + m30*x23 + m36*x24; 183 184 x[24] -= m1*x25 + m7*x26 + m13*x27 + m19*x28 + m25*x29 + m31*x30; 185 x[25] -= m2*x25 + m8*x26 + m14*x27 + m20*x28 + m26*x29 + m32*x30; 186 x[26] -= m3*x25 + m9*x26 + m15*x27 + m21*x28 + m27*x29 + m33*x30; 187 x[27] -= m4*x25 + m10*x26 + m16*x27 + m22*x28 + m28*x29 + m34*x30; 188 x[28] -= m5*x25 + m11*x26 + m17*x27 + m23*x28 + m29*x29 + m35*x30; 189 x[29] -= m6*x25 + m12*x26 + m18*x27 + m24*x28 + m30*x29 + m36*x30; 190 191 x[30] -= m1*x31 + m7*x32 + m13*x33 + m19*x34 + m25*x35 + m31*x36; 192 x[31] -= m2*x31 + m8*x32 + m14*x33 + m20*x34 + m26*x35 + m32*x36; 193 x[32] -= m3*x31 + m9*x32 + m15*x33 + m21*x34 + m27*x35 + m33*x36; 194 x[33] -= m4*x31 + m10*x32 + m16*x33 + m22*x34 + m28*x35 + m34*x36; 195 x[34] -= m5*x31 + m11*x32 + m17*x33 + m23*x34 + m29*x35 + m35*x36; 196 x[35] -= m6*x31 + m12*x32 + m18*x33 + m24*x34 + m30*x35 + m36*x36; 197 198 pv += 36; 199 } 200 ierr = PetscLogFlops(432.0*nz+396.0);CHKERRQ(ierr); 201 } 202 row = *ajtmp++; 203 } 204 /* finished row so stick it into b->a */ 205 pv = ba + 36*bi[i]; 206 pj = bj + bi[i]; 207 nz = bi[i+1] - bi[i]; 208 for (j=0; j<nz; j++) { 209 x = rtmp+36*pj[j]; 210 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 211 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 212 pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 213 pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 214 pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 215 pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 216 pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 217 pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 218 pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 219 pv += 36; 220 } 221 /* invert diagonal block */ 222 w = ba + 36*diag_offset[i]; 223 ierr = PetscKernel_A_gets_inverse_A_6(w,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr); 224 if (zeropivotdetected) C->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 225 } 226 227 ierr = PetscFree(rtmp);CHKERRQ(ierr); 228 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 229 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 230 231 C->ops->solve = MatSolve_SeqBAIJ_6_inplace; 232 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_6_inplace; 233 C->assembled = PETSC_TRUE; 234 235 ierr = PetscLogFlops(1.333333333333*6*6*6*b->mbs);CHKERRQ(ierr); /* from inverting diagonal blocks */ 236 PetscFunctionReturn(0); 237 } 238 239 #undef __FUNCT__ 240 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_6" 241 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6(Mat B,Mat A,const MatFactorInfo *info) 242 { 243 Mat C = B; 244 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ*)C->data; 245 IS isrow = b->row,isicol = b->icol; 246 PetscErrorCode ierr; 247 const PetscInt *r,*ic; 248 PetscInt i,j,k,nz,nzL,row; 249 const PetscInt n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j; 250 const PetscInt *ajtmp,*bjtmp,*bdiag=b->diag,*pj,bs2=a->bs2; 251 MatScalar *rtmp,*pc,*mwork,*v,*pv,*aa=a->a; 252 PetscInt flg; 253 PetscReal shift = info->shiftamount; 254 PetscBool allowzeropivot,zeropivotdetected; 255 256 PetscFunctionBegin; 257 allowzeropivot = PetscNot(A->erroriffailure); 258 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 259 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 260 261 /* generate work space needed by the factorization */ 262 ierr = PetscMalloc2(bs2*n,&rtmp,bs2,&mwork);CHKERRQ(ierr); 263 ierr = PetscMemzero(rtmp,bs2*n*sizeof(MatScalar));CHKERRQ(ierr); 264 265 for (i=0; i<n; i++) { 266 /* zero rtmp */ 267 /* L part */ 268 nz = bi[i+1] - bi[i]; 269 bjtmp = bj + bi[i]; 270 for (j=0; j<nz; j++) { 271 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 272 } 273 274 /* U part */ 275 nz = bdiag[i] - bdiag[i+1]; 276 bjtmp = bj + bdiag[i+1]+1; 277 for (j=0; j<nz; j++) { 278 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 279 } 280 281 /* load in initial (unfactored row) */ 282 nz = ai[r[i]+1] - ai[r[i]]; 283 ajtmp = aj + ai[r[i]]; 284 v = aa + bs2*ai[r[i]]; 285 for (j=0; j<nz; j++) { 286 ierr = PetscMemcpy(rtmp+bs2*ic[ajtmp[j]],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr); 287 } 288 289 /* elimination */ 290 bjtmp = bj + bi[i]; 291 nzL = bi[i+1] - bi[i]; 292 for (k=0; k < nzL; k++) { 293 row = bjtmp[k]; 294 pc = rtmp + bs2*row; 295 for (flg=0,j=0; j<bs2; j++) { 296 if (pc[j]!=0.0) { 297 flg = 1; 298 break; 299 } 300 } 301 if (flg) { 302 pv = b->a + bs2*bdiag[row]; 303 /* PetscKernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 304 ierr = PetscKernel_A_gets_A_times_B_6(pc,pv,mwork);CHKERRQ(ierr); 305 306 pj = b->j + bdiag[row+1]+1; /* begining of U(row,:) */ 307 pv = b->a + bs2*(bdiag[row+1]+1); 308 nz = bdiag[row] - bdiag[row+1] - 1; /* num of entries inU(row,:), excluding diag */ 309 for (j=0; j<nz; j++) { 310 /* PetscKernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 311 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 312 v = rtmp + bs2*pj[j]; 313 ierr = PetscKernel_A_gets_A_minus_B_times_C_6(v,pc,pv);CHKERRQ(ierr); 314 pv += bs2; 315 } 316 ierr = PetscLogFlops(432*nz+396);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 317 } 318 } 319 320 /* finished row so stick it into b->a */ 321 /* L part */ 322 pv = b->a + bs2*bi[i]; 323 pj = b->j + bi[i]; 324 nz = bi[i+1] - bi[i]; 325 for (j=0; j<nz; j++) { 326 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 327 } 328 329 /* Mark diagonal and invert diagonal for simplier triangular solves */ 330 pv = b->a + bs2*bdiag[i]; 331 pj = b->j + bdiag[i]; 332 ierr = PetscMemcpy(pv,rtmp+bs2*pj[0],bs2*sizeof(MatScalar));CHKERRQ(ierr); 333 ierr = PetscKernel_A_gets_inverse_A_6(pv,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr); 334 if (zeropivotdetected) C->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 335 336 /* U part */ 337 pv = b->a + bs2*(bdiag[i+1]+1); 338 pj = b->j + bdiag[i+1]+1; 339 nz = bdiag[i] - bdiag[i+1] - 1; 340 for (j=0; j<nz; j++) { 341 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 342 } 343 } 344 345 ierr = PetscFree2(rtmp,mwork);CHKERRQ(ierr); 346 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 347 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 348 349 C->ops->solve = MatSolve_SeqBAIJ_6; 350 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_6; 351 C->assembled = PETSC_TRUE; 352 353 ierr = PetscLogFlops(1.333333333333*6*6*6*n);CHKERRQ(ierr); /* from inverting diagonal blocks */ 354 PetscFunctionReturn(0); 355 } 356 357 #undef __FUNCT__ 358 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering_inplace" 359 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering_inplace(Mat C,Mat A,const MatFactorInfo *info) 360 { 361 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ*)C->data; 362 PetscErrorCode ierr; 363 PetscInt i,j,n = a->mbs,*bi = b->i,*bj = b->j; 364 PetscInt *ajtmpold,*ajtmp,nz,row; 365 PetscInt *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 366 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 367 MatScalar x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15; 368 MatScalar x16,x17,x18,x19,x20,x21,x22,x23,x24,x25; 369 MatScalar p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15; 370 MatScalar p16,p17,p18,p19,p20,p21,p22,p23,p24,p25; 371 MatScalar m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15; 372 MatScalar m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 373 MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 374 MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 375 MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 376 MatScalar *ba = b->a,*aa = a->a; 377 PetscReal shift = info->shiftamount; 378 PetscBool allowzeropivot,zeropivotdetected; 379 380 PetscFunctionBegin; 381 allowzeropivot = PetscNot(A->erroriffailure); 382 ierr = PetscMalloc1(36*(n+1),&rtmp);CHKERRQ(ierr); 383 for (i=0; i<n; i++) { 384 nz = bi[i+1] - bi[i]; 385 ajtmp = bj + bi[i]; 386 for (j=0; j<nz; j++) { 387 x = rtmp+36*ajtmp[j]; 388 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 389 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 390 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0; 391 x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0; 392 x[34] = x[35] = 0.0; 393 } 394 /* load in initial (unfactored row) */ 395 nz = ai[i+1] - ai[i]; 396 ajtmpold = aj + ai[i]; 397 v = aa + 36*ai[i]; 398 for (j=0; j<nz; j++) { 399 x = rtmp+36*ajtmpold[j]; 400 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 401 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 402 x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 403 x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 404 x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 405 x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 406 x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 407 x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 408 x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 409 v += 36; 410 } 411 row = *ajtmp++; 412 while (row < i) { 413 pc = rtmp + 36*row; 414 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 415 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 416 p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 417 p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 418 p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 419 p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 420 p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 421 p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 422 p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 423 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 424 p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 425 p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 426 p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 427 p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 428 p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 429 p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 430 p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 431 p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0) { 432 pv = ba + 36*diag_offset[row]; 433 pj = bj + diag_offset[row] + 1; 434 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 435 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 436 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 437 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 438 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 439 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 440 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 441 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 442 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 443 pc[0] = m1 = p1*x1 + p7*x2 + p13*x3 + p19*x4 + p25*x5 + p31*x6; 444 pc[1] = m2 = p2*x1 + p8*x2 + p14*x3 + p20*x4 + p26*x5 + p32*x6; 445 pc[2] = m3 = p3*x1 + p9*x2 + p15*x3 + p21*x4 + p27*x5 + p33*x6; 446 pc[3] = m4 = p4*x1 + p10*x2 + p16*x3 + p22*x4 + p28*x5 + p34*x6; 447 pc[4] = m5 = p5*x1 + p11*x2 + p17*x3 + p23*x4 + p29*x5 + p35*x6; 448 pc[5] = m6 = p6*x1 + p12*x2 + p18*x3 + p24*x4 + p30*x5 + p36*x6; 449 450 pc[6] = m7 = p1*x7 + p7*x8 + p13*x9 + p19*x10 + p25*x11 + p31*x12; 451 pc[7] = m8 = p2*x7 + p8*x8 + p14*x9 + p20*x10 + p26*x11 + p32*x12; 452 pc[8] = m9 = p3*x7 + p9*x8 + p15*x9 + p21*x10 + p27*x11 + p33*x12; 453 pc[9] = m10 = p4*x7 + p10*x8 + p16*x9 + p22*x10 + p28*x11 + p34*x12; 454 pc[10] = m11 = p5*x7 + p11*x8 + p17*x9 + p23*x10 + p29*x11 + p35*x12; 455 pc[11] = m12 = p6*x7 + p12*x8 + p18*x9 + p24*x10 + p30*x11 + p36*x12; 456 457 pc[12] = m13 = p1*x13 + p7*x14 + p13*x15 + p19*x16 + p25*x17 + p31*x18; 458 pc[13] = m14 = p2*x13 + p8*x14 + p14*x15 + p20*x16 + p26*x17 + p32*x18; 459 pc[14] = m15 = p3*x13 + p9*x14 + p15*x15 + p21*x16 + p27*x17 + p33*x18; 460 pc[15] = m16 = p4*x13 + p10*x14 + p16*x15 + p22*x16 + p28*x17 + p34*x18; 461 pc[16] = m17 = p5*x13 + p11*x14 + p17*x15 + p23*x16 + p29*x17 + p35*x18; 462 pc[17] = m18 = p6*x13 + p12*x14 + p18*x15 + p24*x16 + p30*x17 + p36*x18; 463 464 pc[18] = m19 = p1*x19 + p7*x20 + p13*x21 + p19*x22 + p25*x23 + p31*x24; 465 pc[19] = m20 = p2*x19 + p8*x20 + p14*x21 + p20*x22 + p26*x23 + p32*x24; 466 pc[20] = m21 = p3*x19 + p9*x20 + p15*x21 + p21*x22 + p27*x23 + p33*x24; 467 pc[21] = m22 = p4*x19 + p10*x20 + p16*x21 + p22*x22 + p28*x23 + p34*x24; 468 pc[22] = m23 = p5*x19 + p11*x20 + p17*x21 + p23*x22 + p29*x23 + p35*x24; 469 pc[23] = m24 = p6*x19 + p12*x20 + p18*x21 + p24*x22 + p30*x23 + p36*x24; 470 471 pc[24] = m25 = p1*x25 + p7*x26 + p13*x27 + p19*x28 + p25*x29 + p31*x30; 472 pc[25] = m26 = p2*x25 + p8*x26 + p14*x27 + p20*x28 + p26*x29 + p32*x30; 473 pc[26] = m27 = p3*x25 + p9*x26 + p15*x27 + p21*x28 + p27*x29 + p33*x30; 474 pc[27] = m28 = p4*x25 + p10*x26 + p16*x27 + p22*x28 + p28*x29 + p34*x30; 475 pc[28] = m29 = p5*x25 + p11*x26 + p17*x27 + p23*x28 + p29*x29 + p35*x30; 476 pc[29] = m30 = p6*x25 + p12*x26 + p18*x27 + p24*x28 + p30*x29 + p36*x30; 477 478 pc[30] = m31 = p1*x31 + p7*x32 + p13*x33 + p19*x34 + p25*x35 + p31*x36; 479 pc[31] = m32 = p2*x31 + p8*x32 + p14*x33 + p20*x34 + p26*x35 + p32*x36; 480 pc[32] = m33 = p3*x31 + p9*x32 + p15*x33 + p21*x34 + p27*x35 + p33*x36; 481 pc[33] = m34 = p4*x31 + p10*x32 + p16*x33 + p22*x34 + p28*x35 + p34*x36; 482 pc[34] = m35 = p5*x31 + p11*x32 + p17*x33 + p23*x34 + p29*x35 + p35*x36; 483 pc[35] = m36 = p6*x31 + p12*x32 + p18*x33 + p24*x34 + p30*x35 + p36*x36; 484 485 nz = bi[row+1] - diag_offset[row] - 1; 486 pv += 36; 487 for (j=0; j<nz; j++) { 488 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 489 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 490 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 491 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 492 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 493 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 494 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 495 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 496 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 497 x = rtmp + 36*pj[j]; 498 x[0] -= m1*x1 + m7*x2 + m13*x3 + m19*x4 + m25*x5 + m31*x6; 499 x[1] -= m2*x1 + m8*x2 + m14*x3 + m20*x4 + m26*x5 + m32*x6; 500 x[2] -= m3*x1 + m9*x2 + m15*x3 + m21*x4 + m27*x5 + m33*x6; 501 x[3] -= m4*x1 + m10*x2 + m16*x3 + m22*x4 + m28*x5 + m34*x6; 502 x[4] -= m5*x1 + m11*x2 + m17*x3 + m23*x4 + m29*x5 + m35*x6; 503 x[5] -= m6*x1 + m12*x2 + m18*x3 + m24*x4 + m30*x5 + m36*x6; 504 505 x[6] -= m1*x7 + m7*x8 + m13*x9 + m19*x10 + m25*x11 + m31*x12; 506 x[7] -= m2*x7 + m8*x8 + m14*x9 + m20*x10 + m26*x11 + m32*x12; 507 x[8] -= m3*x7 + m9*x8 + m15*x9 + m21*x10 + m27*x11 + m33*x12; 508 x[9] -= m4*x7 + m10*x8 + m16*x9 + m22*x10 + m28*x11 + m34*x12; 509 x[10] -= m5*x7 + m11*x8 + m17*x9 + m23*x10 + m29*x11 + m35*x12; 510 x[11] -= m6*x7 + m12*x8 + m18*x9 + m24*x10 + m30*x11 + m36*x12; 511 512 x[12] -= m1*x13 + m7*x14 + m13*x15 + m19*x16 + m25*x17 + m31*x18; 513 x[13] -= m2*x13 + m8*x14 + m14*x15 + m20*x16 + m26*x17 + m32*x18; 514 x[14] -= m3*x13 + m9*x14 + m15*x15 + m21*x16 + m27*x17 + m33*x18; 515 x[15] -= m4*x13 + m10*x14 + m16*x15 + m22*x16 + m28*x17 + m34*x18; 516 x[16] -= m5*x13 + m11*x14 + m17*x15 + m23*x16 + m29*x17 + m35*x18; 517 x[17] -= m6*x13 + m12*x14 + m18*x15 + m24*x16 + m30*x17 + m36*x18; 518 519 x[18] -= m1*x19 + m7*x20 + m13*x21 + m19*x22 + m25*x23 + m31*x24; 520 x[19] -= m2*x19 + m8*x20 + m14*x21 + m20*x22 + m26*x23 + m32*x24; 521 x[20] -= m3*x19 + m9*x20 + m15*x21 + m21*x22 + m27*x23 + m33*x24; 522 x[21] -= m4*x19 + m10*x20 + m16*x21 + m22*x22 + m28*x23 + m34*x24; 523 x[22] -= m5*x19 + m11*x20 + m17*x21 + m23*x22 + m29*x23 + m35*x24; 524 x[23] -= m6*x19 + m12*x20 + m18*x21 + m24*x22 + m30*x23 + m36*x24; 525 526 x[24] -= m1*x25 + m7*x26 + m13*x27 + m19*x28 + m25*x29 + m31*x30; 527 x[25] -= m2*x25 + m8*x26 + m14*x27 + m20*x28 + m26*x29 + m32*x30; 528 x[26] -= m3*x25 + m9*x26 + m15*x27 + m21*x28 + m27*x29 + m33*x30; 529 x[27] -= m4*x25 + m10*x26 + m16*x27 + m22*x28 + m28*x29 + m34*x30; 530 x[28] -= m5*x25 + m11*x26 + m17*x27 + m23*x28 + m29*x29 + m35*x30; 531 x[29] -= m6*x25 + m12*x26 + m18*x27 + m24*x28 + m30*x29 + m36*x30; 532 533 x[30] -= m1*x31 + m7*x32 + m13*x33 + m19*x34 + m25*x35 + m31*x36; 534 x[31] -= m2*x31 + m8*x32 + m14*x33 + m20*x34 + m26*x35 + m32*x36; 535 x[32] -= m3*x31 + m9*x32 + m15*x33 + m21*x34 + m27*x35 + m33*x36; 536 x[33] -= m4*x31 + m10*x32 + m16*x33 + m22*x34 + m28*x35 + m34*x36; 537 x[34] -= m5*x31 + m11*x32 + m17*x33 + m23*x34 + m29*x35 + m35*x36; 538 x[35] -= m6*x31 + m12*x32 + m18*x33 + m24*x34 + m30*x35 + m36*x36; 539 540 pv += 36; 541 } 542 ierr = PetscLogFlops(432.0*nz+396.0);CHKERRQ(ierr); 543 } 544 row = *ajtmp++; 545 } 546 /* finished row so stick it into b->a */ 547 pv = ba + 36*bi[i]; 548 pj = bj + bi[i]; 549 nz = bi[i+1] - bi[i]; 550 for (j=0; j<nz; j++) { 551 x = rtmp+36*pj[j]; 552 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 553 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 554 pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 555 pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 556 pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 557 pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 558 pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 559 pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 560 pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 561 pv += 36; 562 } 563 /* invert diagonal block */ 564 w = ba + 36*diag_offset[i]; 565 ierr = PetscKernel_A_gets_inverse_A_6(w,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr); 566 if (zeropivotdetected) C->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 567 } 568 569 ierr = PetscFree(rtmp);CHKERRQ(ierr); 570 571 C->ops->solve = MatSolve_SeqBAIJ_6_NaturalOrdering_inplace; 572 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_6_NaturalOrdering_inplace; 573 C->assembled = PETSC_TRUE; 574 575 ierr = PetscLogFlops(1.333333333333*6*6*6*b->mbs);CHKERRQ(ierr); /* from inverting diagonal blocks */ 576 PetscFunctionReturn(0); 577 } 578 579 #undef __FUNCT__ 580 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering" 581 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering(Mat B,Mat A,const MatFactorInfo *info) 582 { 583 Mat C =B; 584 Mat_SeqBAIJ *a=(Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ*)C->data; 585 PetscErrorCode ierr; 586 PetscInt i,j,k,nz,nzL,row; 587 const PetscInt n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j; 588 const PetscInt *ajtmp,*bjtmp,*bdiag=b->diag,*pj,bs2=a->bs2; 589 MatScalar *rtmp,*pc,*mwork,*v,*pv,*aa=a->a; 590 PetscInt flg; 591 PetscReal shift = info->shiftamount; 592 PetscBool allowzeropivot,zeropivotdetected; 593 594 PetscFunctionBegin; 595 allowzeropivot = PetscNot(A->erroriffailure); 596 597 /* generate work space needed by the factorization */ 598 ierr = PetscMalloc2(bs2*n,&rtmp,bs2,&mwork);CHKERRQ(ierr); 599 ierr = PetscMemzero(rtmp,bs2*n*sizeof(MatScalar));CHKERRQ(ierr); 600 601 for (i=0; i<n; i++) { 602 /* zero rtmp */ 603 /* L part */ 604 nz = bi[i+1] - bi[i]; 605 bjtmp = bj + bi[i]; 606 for (j=0; j<nz; j++) { 607 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 608 } 609 610 /* U part */ 611 nz = bdiag[i] - bdiag[i+1]; 612 bjtmp = bj + bdiag[i+1]+1; 613 for (j=0; j<nz; j++) { 614 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 615 } 616 617 /* load in initial (unfactored row) */ 618 nz = ai[i+1] - ai[i]; 619 ajtmp = aj + ai[i]; 620 v = aa + bs2*ai[i]; 621 for (j=0; j<nz; j++) { 622 ierr = PetscMemcpy(rtmp+bs2*ajtmp[j],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr); 623 } 624 625 /* elimination */ 626 bjtmp = bj + bi[i]; 627 nzL = bi[i+1] - bi[i]; 628 for (k=0; k < nzL; k++) { 629 row = bjtmp[k]; 630 pc = rtmp + bs2*row; 631 for (flg=0,j=0; j<bs2; j++) { 632 if (pc[j]!=0.0) { 633 flg = 1; 634 break; 635 } 636 } 637 if (flg) { 638 pv = b->a + bs2*bdiag[row]; 639 /* PetscKernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 640 ierr = PetscKernel_A_gets_A_times_B_6(pc,pv,mwork);CHKERRQ(ierr); 641 642 pj = b->j + bdiag[row+1]+1; /* begining of U(row,:) */ 643 pv = b->a + bs2*(bdiag[row+1]+1); 644 nz = bdiag[row] - bdiag[row+1] - 1; /* num of entries inU(row,:), excluding diag */ 645 for (j=0; j<nz; j++) { 646 /* PetscKernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 647 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 648 v = rtmp + bs2*pj[j]; 649 ierr = PetscKernel_A_gets_A_minus_B_times_C_6(v,pc,pv);CHKERRQ(ierr); 650 pv += bs2; 651 } 652 ierr = PetscLogFlops(432*nz+396);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 653 } 654 } 655 656 /* finished row so stick it into b->a */ 657 /* L part */ 658 pv = b->a + bs2*bi[i]; 659 pj = b->j + bi[i]; 660 nz = bi[i+1] - bi[i]; 661 for (j=0; j<nz; j++) { 662 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 663 } 664 665 /* Mark diagonal and invert diagonal for simplier triangular solves */ 666 pv = b->a + bs2*bdiag[i]; 667 pj = b->j + bdiag[i]; 668 ierr = PetscMemcpy(pv,rtmp+bs2*pj[0],bs2*sizeof(MatScalar));CHKERRQ(ierr); 669 ierr = PetscKernel_A_gets_inverse_A_6(pv,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr); 670 if (zeropivotdetected) C->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 671 672 /* U part */ 673 pv = b->a + bs2*(bdiag[i+1]+1); 674 pj = b->j + bdiag[i+1]+1; 675 nz = bdiag[i] - bdiag[i+1] - 1; 676 for (j=0; j<nz; j++) { 677 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 678 } 679 } 680 ierr = PetscFree2(rtmp,mwork);CHKERRQ(ierr); 681 682 C->ops->solve = MatSolve_SeqBAIJ_6_NaturalOrdering; 683 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_6_NaturalOrdering; 684 C->assembled = PETSC_TRUE; 685 686 ierr = PetscLogFlops(1.333333333333*6*6*6*n);CHKERRQ(ierr); /* from inverting diagonal blocks */ 687 PetscFunctionReturn(0); 688 } 689