1 #define PETSCMAT_DLL 2 3 /* 4 Factorization code for BAIJ format. 5 */ 6 #include "../src/mat/impls/baij/seq/baij.h" 7 #include "../src/mat/blockinvert.h" 8 9 /* ------------------------------------------------------------*/ 10 /* 11 Version for when blocks are 6 by 6 12 */ 13 #undef __FUNCT__ 14 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_6" 15 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6(Mat C,Mat A,const MatFactorInfo *info) 16 { 17 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 18 IS isrow = b->row,isicol = b->icol; 19 PetscErrorCode ierr; 20 const PetscInt *ajtmpold,*ajtmp,*diag_offset = b->diag,*r,*ic,*bi = b->i,*bj = b->j,*ai=a->i,*aj=a->j,*pj; 21 PetscInt nz,row,i,j,n = a->mbs,idx; 22 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 23 MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 24 MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16; 25 MatScalar x17,x18,x19,x20,x21,x22,x23,x24,x25,p10,p11,p12,p13,p14; 26 MatScalar p15,p16,p17,p18,p19,p20,p21,p22,p23,p24,p25,m10,m11,m12; 27 MatScalar m13,m14,m15,m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 28 MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 29 MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 30 MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 31 MatScalar *ba = b->a,*aa = a->a; 32 PetscReal shift = info->shiftinblocks; 33 34 PetscFunctionBegin; 35 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 36 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 37 ierr = PetscMalloc(36*(n+1)*sizeof(MatScalar),&rtmp);CHKERRQ(ierr); 38 39 for (i=0; i<n; i++) { 40 nz = bi[i+1] - bi[i]; 41 ajtmp = bj + bi[i]; 42 for (j=0; j<nz; j++) { 43 x = rtmp+36*ajtmp[j]; 44 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 45 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 46 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0 ; 47 x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0 ; 48 x[34] = x[35] = 0.0 ; 49 } 50 /* load in initial (unfactored row) */ 51 idx = r[i]; 52 nz = ai[idx+1] - ai[idx]; 53 ajtmpold = aj + ai[idx]; 54 v = aa + 36*ai[idx]; 55 for (j=0; j<nz; j++) { 56 x = rtmp+36*ic[ajtmpold[j]]; 57 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 58 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 59 x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 60 x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 61 x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 62 x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 63 x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 64 x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 65 x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 66 v += 36; 67 } 68 row = *ajtmp++; 69 while (row < i) { 70 pc = rtmp + 36*row; 71 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 72 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 73 p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 74 p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 75 p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 76 p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 77 p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 78 p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 79 p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 80 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 81 p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 82 p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 83 p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 84 p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 85 p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 86 p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 87 p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 88 p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0) { 89 pv = ba + 36*diag_offset[row]; 90 pj = bj + diag_offset[row] + 1; 91 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 92 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 93 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 94 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 95 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 96 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 97 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 98 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 99 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 100 pc[0] = m1 = p1*x1 + p7*x2 + p13*x3 + p19*x4 + p25*x5 + p31*x6; 101 pc[1] = m2 = p2*x1 + p8*x2 + p14*x3 + p20*x4 + p26*x5 + p32*x6; 102 pc[2] = m3 = p3*x1 + p9*x2 + p15*x3 + p21*x4 + p27*x5 + p33*x6; 103 pc[3] = m4 = p4*x1 + p10*x2 + p16*x3 + p22*x4 + p28*x5 + p34*x6; 104 pc[4] = m5 = p5*x1 + p11*x2 + p17*x3 + p23*x4 + p29*x5 + p35*x6; 105 pc[5] = m6 = p6*x1 + p12*x2 + p18*x3 + p24*x4 + p30*x5 + p36*x6; 106 107 pc[6] = m7 = p1*x7 + p7*x8 + p13*x9 + p19*x10 + p25*x11 + p31*x12; 108 pc[7] = m8 = p2*x7 + p8*x8 + p14*x9 + p20*x10 + p26*x11 + p32*x12; 109 pc[8] = m9 = p3*x7 + p9*x8 + p15*x9 + p21*x10 + p27*x11 + p33*x12; 110 pc[9] = m10 = p4*x7 + p10*x8 + p16*x9 + p22*x10 + p28*x11 + p34*x12; 111 pc[10] = m11 = p5*x7 + p11*x8 + p17*x9 + p23*x10 + p29*x11 + p35*x12; 112 pc[11] = m12 = p6*x7 + p12*x8 + p18*x9 + p24*x10 + p30*x11 + p36*x12; 113 114 pc[12] = m13 = p1*x13 + p7*x14 + p13*x15 + p19*x16 + p25*x17 + p31*x18; 115 pc[13] = m14 = p2*x13 + p8*x14 + p14*x15 + p20*x16 + p26*x17 + p32*x18; 116 pc[14] = m15 = p3*x13 + p9*x14 + p15*x15 + p21*x16 + p27*x17 + p33*x18; 117 pc[15] = m16 = p4*x13 + p10*x14 + p16*x15 + p22*x16 + p28*x17 + p34*x18; 118 pc[16] = m17 = p5*x13 + p11*x14 + p17*x15 + p23*x16 + p29*x17 + p35*x18; 119 pc[17] = m18 = p6*x13 + p12*x14 + p18*x15 + p24*x16 + p30*x17 + p36*x18; 120 121 pc[18] = m19 = p1*x19 + p7*x20 + p13*x21 + p19*x22 + p25*x23 + p31*x24; 122 pc[19] = m20 = p2*x19 + p8*x20 + p14*x21 + p20*x22 + p26*x23 + p32*x24; 123 pc[20] = m21 = p3*x19 + p9*x20 + p15*x21 + p21*x22 + p27*x23 + p33*x24; 124 pc[21] = m22 = p4*x19 + p10*x20 + p16*x21 + p22*x22 + p28*x23 + p34*x24; 125 pc[22] = m23 = p5*x19 + p11*x20 + p17*x21 + p23*x22 + p29*x23 + p35*x24; 126 pc[23] = m24 = p6*x19 + p12*x20 + p18*x21 + p24*x22 + p30*x23 + p36*x24; 127 128 pc[24] = m25 = p1*x25 + p7*x26 + p13*x27 + p19*x28 + p25*x29 + p31*x30; 129 pc[25] = m26 = p2*x25 + p8*x26 + p14*x27 + p20*x28 + p26*x29 + p32*x30; 130 pc[26] = m27 = p3*x25 + p9*x26 + p15*x27 + p21*x28 + p27*x29 + p33*x30; 131 pc[27] = m28 = p4*x25 + p10*x26 + p16*x27 + p22*x28 + p28*x29 + p34*x30; 132 pc[28] = m29 = p5*x25 + p11*x26 + p17*x27 + p23*x28 + p29*x29 + p35*x30; 133 pc[29] = m30 = p6*x25 + p12*x26 + p18*x27 + p24*x28 + p30*x29 + p36*x30; 134 135 pc[30] = m31 = p1*x31 + p7*x32 + p13*x33 + p19*x34 + p25*x35 + p31*x36; 136 pc[31] = m32 = p2*x31 + p8*x32 + p14*x33 + p20*x34 + p26*x35 + p32*x36; 137 pc[32] = m33 = p3*x31 + p9*x32 + p15*x33 + p21*x34 + p27*x35 + p33*x36; 138 pc[33] = m34 = p4*x31 + p10*x32 + p16*x33 + p22*x34 + p28*x35 + p34*x36; 139 pc[34] = m35 = p5*x31 + p11*x32 + p17*x33 + p23*x34 + p29*x35 + p35*x36; 140 pc[35] = m36 = p6*x31 + p12*x32 + p18*x33 + p24*x34 + p30*x35 + p36*x36; 141 142 nz = bi[row+1] - diag_offset[row] - 1; 143 pv += 36; 144 for (j=0; j<nz; j++) { 145 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 146 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 147 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 148 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 149 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 150 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 151 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 152 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 153 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 154 x = rtmp + 36*pj[j]; 155 x[0] -= m1*x1 + m7*x2 + m13*x3 + m19*x4 + m25*x5 + m31*x6; 156 x[1] -= m2*x1 + m8*x2 + m14*x3 + m20*x4 + m26*x5 + m32*x6; 157 x[2] -= m3*x1 + m9*x2 + m15*x3 + m21*x4 + m27*x5 + m33*x6; 158 x[3] -= m4*x1 + m10*x2 + m16*x3 + m22*x4 + m28*x5 + m34*x6; 159 x[4] -= m5*x1 + m11*x2 + m17*x3 + m23*x4 + m29*x5 + m35*x6; 160 x[5] -= m6*x1 + m12*x2 + m18*x3 + m24*x4 + m30*x5 + m36*x6; 161 162 x[6] -= m1*x7 + m7*x8 + m13*x9 + m19*x10 + m25*x11 + m31*x12; 163 x[7] -= m2*x7 + m8*x8 + m14*x9 + m20*x10 + m26*x11 + m32*x12; 164 x[8] -= m3*x7 + m9*x8 + m15*x9 + m21*x10 + m27*x11 + m33*x12; 165 x[9] -= m4*x7 + m10*x8 + m16*x9 + m22*x10 + m28*x11 + m34*x12; 166 x[10] -= m5*x7 + m11*x8 + m17*x9 + m23*x10 + m29*x11 + m35*x12; 167 x[11] -= m6*x7 + m12*x8 + m18*x9 + m24*x10 + m30*x11 + m36*x12; 168 169 x[12] -= m1*x13 + m7*x14 + m13*x15 + m19*x16 + m25*x17 + m31*x18; 170 x[13] -= m2*x13 + m8*x14 + m14*x15 + m20*x16 + m26*x17 + m32*x18; 171 x[14] -= m3*x13 + m9*x14 + m15*x15 + m21*x16 + m27*x17 + m33*x18; 172 x[15] -= m4*x13 + m10*x14 + m16*x15 + m22*x16 + m28*x17 + m34*x18; 173 x[16] -= m5*x13 + m11*x14 + m17*x15 + m23*x16 + m29*x17 + m35*x18; 174 x[17] -= m6*x13 + m12*x14 + m18*x15 + m24*x16 + m30*x17 + m36*x18; 175 176 x[18] -= m1*x19 + m7*x20 + m13*x21 + m19*x22 + m25*x23 + m31*x24; 177 x[19] -= m2*x19 + m8*x20 + m14*x21 + m20*x22 + m26*x23 + m32*x24; 178 x[20] -= m3*x19 + m9*x20 + m15*x21 + m21*x22 + m27*x23 + m33*x24; 179 x[21] -= m4*x19 + m10*x20 + m16*x21 + m22*x22 + m28*x23 + m34*x24; 180 x[22] -= m5*x19 + m11*x20 + m17*x21 + m23*x22 + m29*x23 + m35*x24; 181 x[23] -= m6*x19 + m12*x20 + m18*x21 + m24*x22 + m30*x23 + m36*x24; 182 183 x[24] -= m1*x25 + m7*x26 + m13*x27 + m19*x28 + m25*x29 + m31*x30; 184 x[25] -= m2*x25 + m8*x26 + m14*x27 + m20*x28 + m26*x29 + m32*x30; 185 x[26] -= m3*x25 + m9*x26 + m15*x27 + m21*x28 + m27*x29 + m33*x30; 186 x[27] -= m4*x25 + m10*x26 + m16*x27 + m22*x28 + m28*x29 + m34*x30; 187 x[28] -= m5*x25 + m11*x26 + m17*x27 + m23*x28 + m29*x29 + m35*x30; 188 x[29] -= m6*x25 + m12*x26 + m18*x27 + m24*x28 + m30*x29 + m36*x30; 189 190 x[30] -= m1*x31 + m7*x32 + m13*x33 + m19*x34 + m25*x35 + m31*x36; 191 x[31] -= m2*x31 + m8*x32 + m14*x33 + m20*x34 + m26*x35 + m32*x36; 192 x[32] -= m3*x31 + m9*x32 + m15*x33 + m21*x34 + m27*x35 + m33*x36; 193 x[33] -= m4*x31 + m10*x32 + m16*x33 + m22*x34 + m28*x35 + m34*x36; 194 x[34] -= m5*x31 + m11*x32 + m17*x33 + m23*x34 + m29*x35 + m35*x36; 195 x[35] -= m6*x31 + m12*x32 + m18*x33 + m24*x34 + m30*x35 + m36*x36; 196 197 pv += 36; 198 } 199 ierr = PetscLogFlops(432.0*nz+396.0);CHKERRQ(ierr); 200 } 201 row = *ajtmp++; 202 } 203 /* finished row so stick it into b->a */ 204 pv = ba + 36*bi[i]; 205 pj = bj + bi[i]; 206 nz = bi[i+1] - bi[i]; 207 for (j=0; j<nz; j++) { 208 x = rtmp+36*pj[j]; 209 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 210 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 211 pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 212 pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 213 pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 214 pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 215 pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 216 pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 217 pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 218 pv += 36; 219 } 220 /* invert diagonal block */ 221 w = ba + 36*diag_offset[i]; 222 ierr = Kernel_A_gets_inverse_A_6(w,shift);CHKERRQ(ierr); 223 } 224 225 ierr = PetscFree(rtmp);CHKERRQ(ierr); 226 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 227 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 228 C->ops->solve = MatSolve_SeqBAIJ_6; 229 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_6; 230 C->assembled = PETSC_TRUE; 231 ierr = PetscLogFlops(1.3333*216*b->mbs);CHKERRQ(ierr); /* from inverting diagonal blocks */ 232 PetscFunctionReturn(0); 233 } 234 235 #undef __FUNCT__ 236 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_6_newdatastruct" 237 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_newdatastruct(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,*ics; 244 PetscInt i,j,k,n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j; 245 PetscInt *ajtmp,*bjtmp,nz,nzL,row,*bdiag=b->diag,*pj; 246 MatScalar *rtmp,*pc,*mwork,*v,*pv,*aa=a->a; 247 PetscInt bs2 = a->bs2,flg; 248 PetscReal shift = info->shiftinblocks; 249 250 PetscFunctionBegin; 251 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 252 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 253 254 /* generate work space needed by the factorization */ 255 ierr = PetscMalloc((bs2*n+bs2+1)*sizeof(MatScalar),&rtmp);CHKERRQ(ierr); 256 mwork = rtmp + bs2*n; 257 ierr = PetscMemzero(rtmp,bs2*n*sizeof(MatScalar));CHKERRQ(ierr); 258 ics = ic; 259 260 for (i=0; i<n; i++){ 261 /* zero rtmp */ 262 /* L part */ 263 nz = bi[i+1] - bi[i]; 264 bjtmp = bj + bi[i]; 265 for (j=0; j<nz; j++){ 266 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 267 } 268 269 /* U part */ 270 nz = bi[2*n-i+1] - bi[2*n-i]; 271 bjtmp = bj + bi[2*n-i]; 272 for (j=0; j<nz; j++){ 273 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 274 } 275 276 /* load in initial (unfactored row) */ 277 nz = ai[r[i]+1] - ai[r[i]]; 278 ajtmp = aj + ai[r[i]]; 279 v = aa + bs2*ai[r[i]]; 280 for (j=0; j<nz; j++) { 281 ierr = PetscMemcpy(rtmp+bs2*ic[ajtmp[j]],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr); 282 } 283 284 /* elimination */ 285 bjtmp = bj + bi[i]; 286 nzL = bi[i+1] - bi[i]; 287 for(k=0;k < nzL;k++) { 288 row = bjtmp[k]; 289 pc = rtmp + bs2*row; 290 for (flg=0,j=0; j<bs2; j++) { if (pc[j]!=0.0) { flg = 1; break; }} 291 if (flg) { 292 pv = b->a + bs2*bdiag[row]; 293 /* Kernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 294 ierr = Kernel_A_gets_A_times_B_6(pc,pv,mwork);CHKERRQ(ierr); 295 296 pj = b->j + bi[2*n-row]; /* begining of U(row,:) */ 297 pv = b->a + bs2*bi[2*n-row]; 298 nz = bi[2*n-row+1] - bi[2*n-row] - 1; /* num of entries inU(row,:), excluding diag */ 299 for (j=0; j<nz; j++) { 300 /* Kernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 301 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 302 v = rtmp + bs2*pj[j]; 303 ierr = Kernel_A_gets_A_minus_B_times_C_6(v,pc,pv);CHKERRQ(ierr); 304 pv += bs2; 305 } 306 ierr = PetscLogFlops(432*nz+396);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 307 } 308 } 309 310 /* finished row so stick it into b->a */ 311 /* L part */ 312 pv = b->a + bs2*bi[i] ; 313 pj = b->j + bi[i] ; 314 nz = bi[i+1] - bi[i]; 315 for (j=0; j<nz; j++) { 316 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 317 } 318 319 /* Mark diagonal and invert diagonal for simplier triangular solves */ 320 pv = b->a + bs2*bdiag[i]; 321 pj = b->j + bdiag[i]; 322 ierr = PetscMemcpy(pv,rtmp+bs2*pj[0],bs2*sizeof(MatScalar));CHKERRQ(ierr); 323 /* ierr = Kernel_A_gets_inverse_A(bs,pv,v_pivots,v_work);CHKERRQ(ierr); */ 324 ierr = Kernel_A_gets_inverse_A_6(pv,shift);CHKERRQ(ierr); 325 326 /* U part */ 327 pv = b->a + bs2*bi[2*n-i]; 328 pj = b->j + bi[2*n-i]; 329 nz = bi[2*n-i+1] - bi[2*n-i] - 1; 330 for (j=0; j<nz; j++){ 331 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 332 } 333 } 334 335 ierr = PetscFree(rtmp);CHKERRQ(ierr); 336 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 337 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 338 339 C->assembled = PETSC_TRUE; 340 ierr = PetscLogFlops(1.3333*bs2*n);CHKERRQ(ierr); /* from inverting diagonal blocks */ 341 PetscFunctionReturn(0); 342 } 343 344 #undef __FUNCT__ 345 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_6_newdatastruct_v2" 346 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_newdatastruct_v2(Mat B,Mat A,const MatFactorInfo *info) 347 { 348 Mat C=B; 349 Mat_SeqBAIJ *a=(Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ *)C->data; 350 IS isrow = b->row,isicol = b->icol; 351 PetscErrorCode ierr; 352 const PetscInt *r,*ic,*ics; 353 PetscInt i,j,k,n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j; 354 PetscInt *ajtmp,*bjtmp,nz,nzL,row,*bdiag=b->diag,*pj; 355 MatScalar *rtmp,*pc,*mwork,*v,*pv,*aa=a->a; 356 PetscInt bs2 = a->bs2,flg; 357 PetscReal shift = info->shiftinblocks; 358 359 PetscFunctionBegin; 360 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 361 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 362 363 /* generate work space needed by the factorization */ 364 ierr = PetscMalloc((bs2*n+bs2+1)*sizeof(MatScalar),&rtmp);CHKERRQ(ierr); 365 mwork = rtmp + bs2*n; 366 ierr = PetscMemzero(rtmp,bs2*n*sizeof(MatScalar));CHKERRQ(ierr); 367 ics = ic; 368 369 for (i=0; i<n; i++){ 370 /* zero rtmp */ 371 /* L part */ 372 nz = bi[i+1] - bi[i]; 373 bjtmp = bj + bi[i]; 374 for (j=0; j<nz; j++){ 375 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 376 } 377 378 /* U part */ 379 nz = bdiag[i] - bdiag[i+1]; 380 bjtmp = bj + bdiag[i+1]+1; 381 for (j=0; j<nz; j++){ 382 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 383 } 384 385 /* load in initial (unfactored row) */ 386 nz = ai[r[i]+1] - ai[r[i]]; 387 ajtmp = aj + ai[r[i]]; 388 v = aa + bs2*ai[r[i]]; 389 for (j=0; j<nz; j++) { 390 ierr = PetscMemcpy(rtmp+bs2*ic[ajtmp[j]],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr); 391 } 392 393 /* elimination */ 394 bjtmp = bj + bi[i]; 395 nzL = bi[i+1] - bi[i]; 396 for(k=0;k < nzL;k++) { 397 row = bjtmp[k]; 398 pc = rtmp + bs2*row; 399 for (flg=0,j=0; j<bs2; j++) { if (pc[j]!=0.0) { flg = 1; break; }} 400 if (flg) { 401 pv = b->a + bs2*bdiag[row]; 402 /* Kernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 403 ierr = Kernel_A_gets_A_times_B_6(pc,pv,mwork);CHKERRQ(ierr); 404 405 pj = b->j + bdiag[row+1]+1; /* begining of U(row,:) */ 406 pv = b->a + bs2*(bdiag[row+1]+1); 407 nz = bdiag[row] - bdiag[row+1] - 1; /* num of entries inU(row,:), excluding diag */ 408 for (j=0; j<nz; j++) { 409 /* Kernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 410 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 411 v = rtmp + bs2*pj[j]; 412 ierr = Kernel_A_gets_A_minus_B_times_C_6(v,pc,pv);CHKERRQ(ierr); 413 pv += bs2; 414 } 415 ierr = PetscLogFlops(432*nz+396);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 416 } 417 } 418 419 /* finished row so stick it into b->a */ 420 /* L part */ 421 pv = b->a + bs2*bi[i] ; 422 pj = b->j + bi[i] ; 423 nz = bi[i+1] - bi[i]; 424 for (j=0; j<nz; j++) { 425 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 426 } 427 428 /* Mark diagonal and invert diagonal for simplier triangular solves */ 429 pv = b->a + bs2*bdiag[i]; 430 pj = b->j + bdiag[i]; 431 ierr = PetscMemcpy(pv,rtmp+bs2*pj[0],bs2*sizeof(MatScalar));CHKERRQ(ierr); 432 /* ierr = Kernel_A_gets_inverse_A(bs,pv,v_pivots,v_work);CHKERRQ(ierr); */ 433 ierr = Kernel_A_gets_inverse_A_6(pv,shift);CHKERRQ(ierr); 434 435 /* U part */ 436 pv = b->a + bs2*(bdiag[i+1]+1); 437 pj = b->j + bdiag[i+1]+1; 438 nz = bdiag[i] - bdiag[i+1] - 1; 439 for (j=0; j<nz; j++){ 440 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 441 } 442 } 443 444 ierr = PetscFree(rtmp);CHKERRQ(ierr); 445 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 446 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 447 448 C->assembled = PETSC_TRUE; 449 ierr = PetscLogFlops(1.3333*bs2*n);CHKERRQ(ierr); /* from inverting diagonal blocks */ 450 PetscFunctionReturn(0); 451 } 452 453 #undef __FUNCT__ 454 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering" 455 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering(Mat C,Mat A,const MatFactorInfo *info) 456 { 457 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 458 PetscErrorCode ierr; 459 PetscInt i,j,n = a->mbs,*bi = b->i,*bj = b->j; 460 PetscInt *ajtmpold,*ajtmp,nz,row; 461 PetscInt *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 462 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 463 MatScalar x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15; 464 MatScalar x16,x17,x18,x19,x20,x21,x22,x23,x24,x25; 465 MatScalar p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15; 466 MatScalar p16,p17,p18,p19,p20,p21,p22,p23,p24,p25; 467 MatScalar m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15; 468 MatScalar m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 469 MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 470 MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 471 MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 472 MatScalar *ba = b->a,*aa = a->a; 473 PetscReal shift = info->shiftinblocks; 474 475 PetscFunctionBegin; 476 ierr = PetscMalloc(36*(n+1)*sizeof(MatScalar),&rtmp);CHKERRQ(ierr); 477 for (i=0; i<n; i++) { 478 nz = bi[i+1] - bi[i]; 479 ajtmp = bj + bi[i]; 480 for (j=0; j<nz; j++) { 481 x = rtmp+36*ajtmp[j]; 482 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 483 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 484 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0 ; 485 x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0 ; 486 x[34] = x[35] = 0.0 ; 487 } 488 /* load in initial (unfactored row) */ 489 nz = ai[i+1] - ai[i]; 490 ajtmpold = aj + ai[i]; 491 v = aa + 36*ai[i]; 492 for (j=0; j<nz; j++) { 493 x = rtmp+36*ajtmpold[j]; 494 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 495 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 496 x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 497 x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 498 x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 499 x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 500 x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 501 x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 502 x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 503 v += 36; 504 } 505 row = *ajtmp++; 506 while (row < i) { 507 pc = rtmp + 36*row; 508 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 509 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 510 p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 511 p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 512 p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 513 p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 514 p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 515 p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 516 p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 517 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 518 p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 519 p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 520 p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 521 p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 522 p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 523 p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 524 p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 525 p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0) { 526 pv = ba + 36*diag_offset[row]; 527 pj = bj + diag_offset[row] + 1; 528 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 529 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 530 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 531 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 532 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 533 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 534 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 535 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 536 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 537 pc[0] = m1 = p1*x1 + p7*x2 + p13*x3 + p19*x4 + p25*x5 + p31*x6; 538 pc[1] = m2 = p2*x1 + p8*x2 + p14*x3 + p20*x4 + p26*x5 + p32*x6; 539 pc[2] = m3 = p3*x1 + p9*x2 + p15*x3 + p21*x4 + p27*x5 + p33*x6; 540 pc[3] = m4 = p4*x1 + p10*x2 + p16*x3 + p22*x4 + p28*x5 + p34*x6; 541 pc[4] = m5 = p5*x1 + p11*x2 + p17*x3 + p23*x4 + p29*x5 + p35*x6; 542 pc[5] = m6 = p6*x1 + p12*x2 + p18*x3 + p24*x4 + p30*x5 + p36*x6; 543 544 pc[6] = m7 = p1*x7 + p7*x8 + p13*x9 + p19*x10 + p25*x11 + p31*x12; 545 pc[7] = m8 = p2*x7 + p8*x8 + p14*x9 + p20*x10 + p26*x11 + p32*x12; 546 pc[8] = m9 = p3*x7 + p9*x8 + p15*x9 + p21*x10 + p27*x11 + p33*x12; 547 pc[9] = m10 = p4*x7 + p10*x8 + p16*x9 + p22*x10 + p28*x11 + p34*x12; 548 pc[10] = m11 = p5*x7 + p11*x8 + p17*x9 + p23*x10 + p29*x11 + p35*x12; 549 pc[11] = m12 = p6*x7 + p12*x8 + p18*x9 + p24*x10 + p30*x11 + p36*x12; 550 551 pc[12] = m13 = p1*x13 + p7*x14 + p13*x15 + p19*x16 + p25*x17 + p31*x18; 552 pc[13] = m14 = p2*x13 + p8*x14 + p14*x15 + p20*x16 + p26*x17 + p32*x18; 553 pc[14] = m15 = p3*x13 + p9*x14 + p15*x15 + p21*x16 + p27*x17 + p33*x18; 554 pc[15] = m16 = p4*x13 + p10*x14 + p16*x15 + p22*x16 + p28*x17 + p34*x18; 555 pc[16] = m17 = p5*x13 + p11*x14 + p17*x15 + p23*x16 + p29*x17 + p35*x18; 556 pc[17] = m18 = p6*x13 + p12*x14 + p18*x15 + p24*x16 + p30*x17 + p36*x18; 557 558 pc[18] = m19 = p1*x19 + p7*x20 + p13*x21 + p19*x22 + p25*x23 + p31*x24; 559 pc[19] = m20 = p2*x19 + p8*x20 + p14*x21 + p20*x22 + p26*x23 + p32*x24; 560 pc[20] = m21 = p3*x19 + p9*x20 + p15*x21 + p21*x22 + p27*x23 + p33*x24; 561 pc[21] = m22 = p4*x19 + p10*x20 + p16*x21 + p22*x22 + p28*x23 + p34*x24; 562 pc[22] = m23 = p5*x19 + p11*x20 + p17*x21 + p23*x22 + p29*x23 + p35*x24; 563 pc[23] = m24 = p6*x19 + p12*x20 + p18*x21 + p24*x22 + p30*x23 + p36*x24; 564 565 pc[24] = m25 = p1*x25 + p7*x26 + p13*x27 + p19*x28 + p25*x29 + p31*x30; 566 pc[25] = m26 = p2*x25 + p8*x26 + p14*x27 + p20*x28 + p26*x29 + p32*x30; 567 pc[26] = m27 = p3*x25 + p9*x26 + p15*x27 + p21*x28 + p27*x29 + p33*x30; 568 pc[27] = m28 = p4*x25 + p10*x26 + p16*x27 + p22*x28 + p28*x29 + p34*x30; 569 pc[28] = m29 = p5*x25 + p11*x26 + p17*x27 + p23*x28 + p29*x29 + p35*x30; 570 pc[29] = m30 = p6*x25 + p12*x26 + p18*x27 + p24*x28 + p30*x29 + p36*x30; 571 572 pc[30] = m31 = p1*x31 + p7*x32 + p13*x33 + p19*x34 + p25*x35 + p31*x36; 573 pc[31] = m32 = p2*x31 + p8*x32 + p14*x33 + p20*x34 + p26*x35 + p32*x36; 574 pc[32] = m33 = p3*x31 + p9*x32 + p15*x33 + p21*x34 + p27*x35 + p33*x36; 575 pc[33] = m34 = p4*x31 + p10*x32 + p16*x33 + p22*x34 + p28*x35 + p34*x36; 576 pc[34] = m35 = p5*x31 + p11*x32 + p17*x33 + p23*x34 + p29*x35 + p35*x36; 577 pc[35] = m36 = p6*x31 + p12*x32 + p18*x33 + p24*x34 + p30*x35 + p36*x36; 578 579 nz = bi[row+1] - diag_offset[row] - 1; 580 pv += 36; 581 for (j=0; j<nz; j++) { 582 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 583 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 584 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 585 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 586 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 587 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 588 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 589 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 590 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 591 x = rtmp + 36*pj[j]; 592 x[0] -= m1*x1 + m7*x2 + m13*x3 + m19*x4 + m25*x5 + m31*x6; 593 x[1] -= m2*x1 + m8*x2 + m14*x3 + m20*x4 + m26*x5 + m32*x6; 594 x[2] -= m3*x1 + m9*x2 + m15*x3 + m21*x4 + m27*x5 + m33*x6; 595 x[3] -= m4*x1 + m10*x2 + m16*x3 + m22*x4 + m28*x5 + m34*x6; 596 x[4] -= m5*x1 + m11*x2 + m17*x3 + m23*x4 + m29*x5 + m35*x6; 597 x[5] -= m6*x1 + m12*x2 + m18*x3 + m24*x4 + m30*x5 + m36*x6; 598 599 x[6] -= m1*x7 + m7*x8 + m13*x9 + m19*x10 + m25*x11 + m31*x12; 600 x[7] -= m2*x7 + m8*x8 + m14*x9 + m20*x10 + m26*x11 + m32*x12; 601 x[8] -= m3*x7 + m9*x8 + m15*x9 + m21*x10 + m27*x11 + m33*x12; 602 x[9] -= m4*x7 + m10*x8 + m16*x9 + m22*x10 + m28*x11 + m34*x12; 603 x[10] -= m5*x7 + m11*x8 + m17*x9 + m23*x10 + m29*x11 + m35*x12; 604 x[11] -= m6*x7 + m12*x8 + m18*x9 + m24*x10 + m30*x11 + m36*x12; 605 606 x[12] -= m1*x13 + m7*x14 + m13*x15 + m19*x16 + m25*x17 + m31*x18; 607 x[13] -= m2*x13 + m8*x14 + m14*x15 + m20*x16 + m26*x17 + m32*x18; 608 x[14] -= m3*x13 + m9*x14 + m15*x15 + m21*x16 + m27*x17 + m33*x18; 609 x[15] -= m4*x13 + m10*x14 + m16*x15 + m22*x16 + m28*x17 + m34*x18; 610 x[16] -= m5*x13 + m11*x14 + m17*x15 + m23*x16 + m29*x17 + m35*x18; 611 x[17] -= m6*x13 + m12*x14 + m18*x15 + m24*x16 + m30*x17 + m36*x18; 612 613 x[18] -= m1*x19 + m7*x20 + m13*x21 + m19*x22 + m25*x23 + m31*x24; 614 x[19] -= m2*x19 + m8*x20 + m14*x21 + m20*x22 + m26*x23 + m32*x24; 615 x[20] -= m3*x19 + m9*x20 + m15*x21 + m21*x22 + m27*x23 + m33*x24; 616 x[21] -= m4*x19 + m10*x20 + m16*x21 + m22*x22 + m28*x23 + m34*x24; 617 x[22] -= m5*x19 + m11*x20 + m17*x21 + m23*x22 + m29*x23 + m35*x24; 618 x[23] -= m6*x19 + m12*x20 + m18*x21 + m24*x22 + m30*x23 + m36*x24; 619 620 x[24] -= m1*x25 + m7*x26 + m13*x27 + m19*x28 + m25*x29 + m31*x30; 621 x[25] -= m2*x25 + m8*x26 + m14*x27 + m20*x28 + m26*x29 + m32*x30; 622 x[26] -= m3*x25 + m9*x26 + m15*x27 + m21*x28 + m27*x29 + m33*x30; 623 x[27] -= m4*x25 + m10*x26 + m16*x27 + m22*x28 + m28*x29 + m34*x30; 624 x[28] -= m5*x25 + m11*x26 + m17*x27 + m23*x28 + m29*x29 + m35*x30; 625 x[29] -= m6*x25 + m12*x26 + m18*x27 + m24*x28 + m30*x29 + m36*x30; 626 627 x[30] -= m1*x31 + m7*x32 + m13*x33 + m19*x34 + m25*x35 + m31*x36; 628 x[31] -= m2*x31 + m8*x32 + m14*x33 + m20*x34 + m26*x35 + m32*x36; 629 x[32] -= m3*x31 + m9*x32 + m15*x33 + m21*x34 + m27*x35 + m33*x36; 630 x[33] -= m4*x31 + m10*x32 + m16*x33 + m22*x34 + m28*x35 + m34*x36; 631 x[34] -= m5*x31 + m11*x32 + m17*x33 + m23*x34 + m29*x35 + m35*x36; 632 x[35] -= m6*x31 + m12*x32 + m18*x33 + m24*x34 + m30*x35 + m36*x36; 633 634 pv += 36; 635 } 636 ierr = PetscLogFlops(432.0*nz+396.0);CHKERRQ(ierr); 637 } 638 row = *ajtmp++; 639 } 640 /* finished row so stick it into b->a */ 641 pv = ba + 36*bi[i]; 642 pj = bj + bi[i]; 643 nz = bi[i+1] - bi[i]; 644 for (j=0; j<nz; j++) { 645 x = rtmp+36*pj[j]; 646 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 647 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 648 pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 649 pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 650 pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 651 pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 652 pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 653 pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 654 pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 655 pv += 36; 656 } 657 /* invert diagonal block */ 658 w = ba + 36*diag_offset[i]; 659 ierr = Kernel_A_gets_inverse_A_6(w,shift);CHKERRQ(ierr); 660 } 661 662 ierr = PetscFree(rtmp);CHKERRQ(ierr); 663 C->ops->solve = MatSolve_SeqBAIJ_6_NaturalOrdering; 664 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_6_NaturalOrdering; 665 C->assembled = PETSC_TRUE; 666 ierr = PetscLogFlops(1.3333*216*b->mbs);CHKERRQ(ierr); /* from inverting diagonal blocks */ 667 PetscFunctionReturn(0); 668 } 669 670 #undef __FUNCT__ 671 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering_newdatastruct" 672 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering_newdatastruct(Mat B,Mat A,const MatFactorInfo *info) 673 { 674 Mat C=B; 675 Mat_SeqBAIJ *a=(Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ *)C->data; 676 PetscErrorCode ierr; 677 PetscInt i,j,k,n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j; 678 PetscInt *ajtmp,*bjtmp,nz,nzL,row,*bdiag=b->diag,*pj; 679 MatScalar *rtmp,*pc,*mwork,*v,*pv,*aa=a->a; 680 PetscInt bs2 = a->bs2,flg; 681 PetscReal shift = info->shiftinblocks; 682 683 PetscFunctionBegin; 684 /* generate work space needed by the factorization */ 685 ierr = PetscMalloc((bs2*n+bs2+1)*sizeof(MatScalar),&rtmp);CHKERRQ(ierr); 686 mwork = rtmp + bs2*n; 687 ierr = PetscMemzero(rtmp,bs2*n*sizeof(MatScalar));CHKERRQ(ierr); 688 689 for (i=0; i<n; i++){ 690 /* zero rtmp */ 691 /* L part */ 692 nz = bi[i+1] - bi[i]; 693 bjtmp = bj + bi[i]; 694 for (j=0; j<nz; j++){ 695 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 696 } 697 698 /* U part */ 699 nz = bi[2*n-i+1] - bi[2*n-i]; 700 bjtmp = bj + bi[2*n-i]; 701 for (j=0; j<nz; j++){ 702 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 703 } 704 705 /* load in initial (unfactored row) */ 706 nz = ai[i+1] - ai[i]; 707 ajtmp = aj + ai[i]; 708 v = aa + bs2*ai[i]; 709 for (j=0; j<nz; j++) { 710 ierr = PetscMemcpy(rtmp+bs2*ajtmp[j],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr); 711 } 712 713 /* elimination */ 714 bjtmp = bj + bi[i]; 715 nzL = bi[i+1] - bi[i]; 716 for(k=0;k < nzL;k++) { 717 row = bjtmp[k]; 718 pc = rtmp + bs2*row; 719 for (flg=0,j=0; j<bs2; j++) { if (pc[j]!=0.0) { flg = 1; break; }} 720 if (flg) { 721 pv = b->a + bs2*bdiag[row]; 722 /* Kernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 723 ierr = Kernel_A_gets_A_times_B_6(pc,pv,mwork);CHKERRQ(ierr); 724 725 pj = b->j + bi[2*n-row]; /* begining of U(row,:) */ 726 pv = b->a + bs2*bi[2*n-row]; 727 nz = bi[2*n-row+1] - bi[2*n-row] - 1; /* num of entries inU(row,:), excluding diag */ 728 for (j=0; j<nz; j++) { 729 /* Kernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 730 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 731 v = rtmp + bs2*pj[j]; 732 ierr = Kernel_A_gets_A_minus_B_times_C_6(v,pc,pv);CHKERRQ(ierr); 733 pv += bs2; 734 } 735 ierr = PetscLogFlops(432*nz+396);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 736 } 737 } 738 739 /* finished row so stick it into b->a */ 740 /* L part */ 741 pv = b->a + bs2*bi[i] ; 742 pj = b->j + bi[i] ; 743 nz = bi[i+1] - bi[i]; 744 for (j=0; j<nz; j++) { 745 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 746 } 747 748 /* Mark diagonal and invert diagonal for simplier triangular solves */ 749 pv = b->a + bs2*bdiag[i]; 750 pj = b->j + bdiag[i]; 751 ierr = PetscMemcpy(pv,rtmp+bs2*pj[0],bs2*sizeof(MatScalar));CHKERRQ(ierr); 752 /* ierr = Kernel_A_gets_inverse_A(bs,pv,v_pivots,v_work);CHKERRQ(ierr); */ 753 ierr = Kernel_A_gets_inverse_A_6(pv,shift);CHKERRQ(ierr); 754 755 /* U part */ 756 pv = b->a + bs2*bi[2*n-i]; 757 pj = b->j + bi[2*n-i]; 758 nz = bi[2*n-i+1] - bi[2*n-i] - 1; 759 for (j=0; j<nz; j++){ 760 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 761 } 762 } 763 764 ierr = PetscFree(rtmp);CHKERRQ(ierr); 765 C->assembled = PETSC_TRUE; 766 ierr = PetscLogFlops(1.3333*bs2*n);CHKERRQ(ierr); /* from inverting diagonal blocks */ 767 PetscFunctionReturn(0); 768 } 769 770 #undef __FUNCT__ 771 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering_newdatastruct_v2" 772 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering_newdatastruct_v2(Mat B,Mat A,const MatFactorInfo *info) 773 { 774 Mat C=B; 775 Mat_SeqBAIJ *a=(Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ *)C->data; 776 PetscErrorCode ierr; 777 PetscInt i,j,k,n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j; 778 PetscInt *ajtmp,*bjtmp,nz,nzL,row,*bdiag=b->diag,*pj; 779 MatScalar *rtmp,*pc,*mwork,*v,*pv,*aa=a->a; 780 PetscInt bs2 = a->bs2,flg; 781 PetscReal shift = info->shiftinblocks; 782 783 PetscFunctionBegin; 784 /* generate work space needed by the factorization */ 785 ierr = PetscMalloc((bs2*n+bs2+1)*sizeof(MatScalar),&rtmp);CHKERRQ(ierr); 786 mwork = rtmp + bs2*n; 787 ierr = PetscMemzero(rtmp,bs2*n*sizeof(MatScalar));CHKERRQ(ierr); 788 789 for (i=0; i<n; i++){ 790 /* zero rtmp */ 791 /* L part */ 792 nz = bi[i+1] - bi[i]; 793 bjtmp = bj + bi[i]; 794 for (j=0; j<nz; j++){ 795 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 796 } 797 798 /* U part */ 799 nz = bdiag[i] - bdiag[i+1]; 800 bjtmp = bj + bdiag[i+1]+1; 801 for (j=0; j<nz; j++){ 802 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 803 } 804 805 /* load in initial (unfactored row) */ 806 nz = ai[i+1] - ai[i]; 807 ajtmp = aj + ai[i]; 808 v = aa + bs2*ai[i]; 809 for (j=0; j<nz; j++) { 810 ierr = PetscMemcpy(rtmp+bs2*ajtmp[j],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr); 811 } 812 813 /* elimination */ 814 bjtmp = bj + bi[i]; 815 nzL = bi[i+1] - bi[i]; 816 for(k=0;k < nzL;k++) { 817 row = bjtmp[k]; 818 pc = rtmp + bs2*row; 819 for (flg=0,j=0; j<bs2; j++) { if (pc[j]!=0.0) { flg = 1; break; }} 820 if (flg) { 821 pv = b->a + bs2*bdiag[row]; 822 /* Kernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 823 ierr = Kernel_A_gets_A_times_B_6(pc,pv,mwork);CHKERRQ(ierr); 824 825 pj = b->j + bdiag[row+1]+1; /* begining of U(row,:) */ 826 pv = b->a + bs2*(bdiag[row+1]+1); 827 nz = bdiag[row] - bdiag[row+1] - 1; /* num of entries inU(row,:), excluding diag */ 828 for (j=0; j<nz; j++) { 829 /* Kernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 830 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 831 v = rtmp + bs2*pj[j]; 832 ierr = Kernel_A_gets_A_minus_B_times_C_6(v,pc,pv);CHKERRQ(ierr); 833 pv += bs2; 834 } 835 ierr = PetscLogFlops(432*nz+396);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 836 } 837 } 838 839 /* finished row so stick it into b->a */ 840 /* L part */ 841 pv = b->a + bs2*bi[i] ; 842 pj = b->j + bi[i] ; 843 nz = bi[i+1] - bi[i]; 844 for (j=0; j<nz; j++) { 845 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 846 } 847 848 /* Mark diagonal and invert diagonal for simplier triangular solves */ 849 pv = b->a + bs2*bdiag[i]; 850 pj = b->j + bdiag[i]; 851 ierr = PetscMemcpy(pv,rtmp+bs2*pj[0],bs2*sizeof(MatScalar));CHKERRQ(ierr); 852 /* ierr = Kernel_A_gets_inverse_A(bs,pv,v_pivots,v_work);CHKERRQ(ierr); */ 853 ierr = Kernel_A_gets_inverse_A_6(pv,shift);CHKERRQ(ierr); 854 855 /* U part */ 856 pv = b->a + bs2*(bdiag[i+1]+1); 857 pj = b->j + bdiag[i+1]+1; 858 nz = bdiag[i] - bdiag[i+1] - 1; 859 for (j=0; j<nz; j++){ 860 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 861 } 862 } 863 864 ierr = PetscFree(rtmp);CHKERRQ(ierr); 865 C->assembled = PETSC_TRUE; 866 ierr = PetscLogFlops(1.3333*bs2*n);CHKERRQ(ierr); /* from inverting diagonal blocks */ 867 PetscFunctionReturn(0); 868 } 869