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