1 /* 2 Factorization code for BAIJ format. 3 */ 4 #include "src/mat/impls/baij/seq/baij.h" 5 #include "src/inline/ilu.h" 6 7 /* ------------------------------------------------------------*/ 8 /* 9 Version for when blocks are 6 by 6 10 */ 11 #undef __FUNCT__ 12 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_6" 13 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6(Mat A,Mat *B) 14 { 15 Mat C = *B; 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 int *r,*ic,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 20 int *ajtmpold,*ajtmp,nz,row; 21 int *diag_offset = b->diag,idx,*ai=a->i,*aj=a->j,*pj; 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 33 PetscFunctionBegin; 34 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 35 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 36 ierr = PetscMalloc(36*(n+1)*sizeof(MatScalar),&rtmp);CHKERRQ(ierr); 37 38 for (i=0; i<n; i++) { 39 nz = bi[i+1] - bi[i]; 40 ajtmp = bj + bi[i]; 41 for (j=0; j<nz; j++) { 42 x = rtmp+36*ajtmp[j]; 43 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 44 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 45 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0 ; 46 x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0 ; 47 x[34] = x[35] = 0.0 ; 48 } 49 /* load in initial (unfactored row) */ 50 idx = r[i]; 51 nz = ai[idx+1] - ai[idx]; 52 ajtmpold = aj + ai[idx]; 53 v = aa + 36*ai[idx]; 54 for (j=0; j<nz; j++) { 55 x = rtmp+36*ic[ajtmpold[j]]; 56 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 57 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 58 x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 59 x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 60 x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 61 x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 62 x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 63 x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 64 x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 65 v += 36; 66 } 67 row = *ajtmp++; 68 while (row < i) { 69 pc = rtmp + 36*row; 70 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 71 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 72 p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 73 p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 74 p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 75 p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 76 p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 77 p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 78 p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 79 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 80 p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 81 p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 82 p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 83 p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 84 p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 85 p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 86 p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 87 p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0) { 88 pv = ba + 36*diag_offset[row]; 89 pj = bj + diag_offset[row] + 1; 90 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 91 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 92 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 93 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 94 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 95 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 96 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 97 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 98 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 99 pc[0] = m1 = p1*x1 + p7*x2 + p13*x3 + p19*x4 + p25*x5 + p31*x6; 100 pc[1] = m2 = p2*x1 + p8*x2 + p14*x3 + p20*x4 + p26*x5 + p32*x6; 101 pc[2] = m3 = p3*x1 + p9*x2 + p15*x3 + p21*x4 + p27*x5 + p33*x6; 102 pc[3] = m4 = p4*x1 + p10*x2 + p16*x3 + p22*x4 + p28*x5 + p34*x6; 103 pc[4] = m5 = p5*x1 + p11*x2 + p17*x3 + p23*x4 + p29*x5 + p35*x6; 104 pc[5] = m6 = p6*x1 + p12*x2 + p18*x3 + p24*x4 + p30*x5 + p36*x6; 105 106 pc[6] = m7 = p1*x7 + p7*x8 + p13*x9 + p19*x10 + p25*x11 + p31*x12; 107 pc[7] = m8 = p2*x7 + p8*x8 + p14*x9 + p20*x10 + p26*x11 + p32*x12; 108 pc[8] = m9 = p3*x7 + p9*x8 + p15*x9 + p21*x10 + p27*x11 + p33*x12; 109 pc[9] = m10 = p4*x7 + p10*x8 + p16*x9 + p22*x10 + p28*x11 + p34*x12; 110 pc[10] = m11 = p5*x7 + p11*x8 + p17*x9 + p23*x10 + p29*x11 + p35*x12; 111 pc[11] = m12 = p6*x7 + p12*x8 + p18*x9 + p24*x10 + p30*x11 + p36*x12; 112 113 pc[12] = m13 = p1*x13 + p7*x14 + p13*x15 + p19*x16 + p25*x17 + p31*x18; 114 pc[13] = m14 = p2*x13 + p8*x14 + p14*x15 + p20*x16 + p26*x17 + p32*x18; 115 pc[14] = m15 = p3*x13 + p9*x14 + p15*x15 + p21*x16 + p27*x17 + p33*x18; 116 pc[15] = m16 = p4*x13 + p10*x14 + p16*x15 + p22*x16 + p28*x17 + p34*x18; 117 pc[16] = m17 = p5*x13 + p11*x14 + p17*x15 + p23*x16 + p29*x17 + p35*x18; 118 pc[17] = m18 = p6*x13 + p12*x14 + p18*x15 + p24*x16 + p30*x17 + p36*x18; 119 120 pc[18] = m19 = p1*x19 + p7*x20 + p13*x21 + p19*x22 + p25*x23 + p31*x24; 121 pc[19] = m20 = p2*x19 + p8*x20 + p14*x21 + p20*x22 + p26*x23 + p32*x24; 122 pc[20] = m21 = p3*x19 + p9*x20 + p15*x21 + p21*x22 + p27*x23 + p33*x24; 123 pc[21] = m22 = p4*x19 + p10*x20 + p16*x21 + p22*x22 + p28*x23 + p34*x24; 124 pc[22] = m23 = p5*x19 + p11*x20 + p17*x21 + p23*x22 + p29*x23 + p35*x24; 125 pc[23] = m24 = p6*x19 + p12*x20 + p18*x21 + p24*x22 + p30*x23 + p36*x24; 126 127 pc[24] = m25 = p1*x25 + p7*x26 + p13*x27 + p19*x28 + p25*x29 + p31*x30; 128 pc[25] = m26 = p2*x25 + p8*x26 + p14*x27 + p20*x28 + p26*x29 + p32*x30; 129 pc[26] = m27 = p3*x25 + p9*x26 + p15*x27 + p21*x28 + p27*x29 + p33*x30; 130 pc[27] = m28 = p4*x25 + p10*x26 + p16*x27 + p22*x28 + p28*x29 + p34*x30; 131 pc[28] = m29 = p5*x25 + p11*x26 + p17*x27 + p23*x28 + p29*x29 + p35*x30; 132 pc[29] = m30 = p6*x25 + p12*x26 + p18*x27 + p24*x28 + p30*x29 + p36*x30; 133 134 pc[30] = m31 = p1*x31 + p7*x32 + p13*x33 + p19*x34 + p25*x35 + p31*x36; 135 pc[31] = m32 = p2*x31 + p8*x32 + p14*x33 + p20*x34 + p26*x35 + p32*x36; 136 pc[32] = m33 = p3*x31 + p9*x32 + p15*x33 + p21*x34 + p27*x35 + p33*x36; 137 pc[33] = m34 = p4*x31 + p10*x32 + p16*x33 + p22*x34 + p28*x35 + p34*x36; 138 pc[34] = m35 = p5*x31 + p11*x32 + p17*x33 + p23*x34 + p29*x35 + p35*x36; 139 pc[35] = m36 = p6*x31 + p12*x32 + p18*x33 + p24*x34 + p30*x35 + p36*x36; 140 141 nz = bi[row+1] - diag_offset[row] - 1; 142 pv += 36; 143 for (j=0; j<nz; j++) { 144 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 145 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 146 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 147 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 148 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 149 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 150 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 151 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 152 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 153 x = rtmp + 36*pj[j]; 154 x[0] -= m1*x1 + m7*x2 + m13*x3 + m19*x4 + m25*x5 + m31*x6; 155 x[1] -= m2*x1 + m8*x2 + m14*x3 + m20*x4 + m26*x5 + m32*x6; 156 x[2] -= m3*x1 + m9*x2 + m15*x3 + m21*x4 + m27*x5 + m33*x6; 157 x[3] -= m4*x1 + m10*x2 + m16*x3 + m22*x4 + m28*x5 + m34*x6; 158 x[4] -= m5*x1 + m11*x2 + m17*x3 + m23*x4 + m29*x5 + m35*x6; 159 x[5] -= m6*x1 + m12*x2 + m18*x3 + m24*x4 + m30*x5 + m36*x6; 160 161 x[6] -= m1*x7 + m7*x8 + m13*x9 + m19*x10 + m25*x11 + m31*x12; 162 x[7] -= m2*x7 + m8*x8 + m14*x9 + m20*x10 + m26*x11 + m32*x12; 163 x[8] -= m3*x7 + m9*x8 + m15*x9 + m21*x10 + m27*x11 + m33*x12; 164 x[9] -= m4*x7 + m10*x8 + m16*x9 + m22*x10 + m28*x11 + m34*x12; 165 x[10] -= m5*x7 + m11*x8 + m17*x9 + m23*x10 + m29*x11 + m35*x12; 166 x[11] -= m6*x7 + m12*x8 + m18*x9 + m24*x10 + m30*x11 + m36*x12; 167 168 x[12] -= m1*x13 + m7*x14 + m13*x15 + m19*x16 + m25*x17 + m31*x18; 169 x[13] -= m2*x13 + m8*x14 + m14*x15 + m20*x16 + m26*x17 + m32*x18; 170 x[14] -= m3*x13 + m9*x14 + m15*x15 + m21*x16 + m27*x17 + m33*x18; 171 x[15] -= m4*x13 + m10*x14 + m16*x15 + m22*x16 + m28*x17 + m34*x18; 172 x[16] -= m5*x13 + m11*x14 + m17*x15 + m23*x16 + m29*x17 + m35*x18; 173 x[17] -= m6*x13 + m12*x14 + m18*x15 + m24*x16 + m30*x17 + m36*x18; 174 175 x[18] -= m1*x19 + m7*x20 + m13*x21 + m19*x22 + m25*x23 + m31*x24; 176 x[19] -= m2*x19 + m8*x20 + m14*x21 + m20*x22 + m26*x23 + m32*x24; 177 x[20] -= m3*x19 + m9*x20 + m15*x21 + m21*x22 + m27*x23 + m33*x24; 178 x[21] -= m4*x19 + m10*x20 + m16*x21 + m22*x22 + m28*x23 + m34*x24; 179 x[22] -= m5*x19 + m11*x20 + m17*x21 + m23*x22 + m29*x23 + m35*x24; 180 x[23] -= m6*x19 + m12*x20 + m18*x21 + m24*x22 + m30*x23 + m36*x24; 181 182 x[24] -= m1*x25 + m7*x26 + m13*x27 + m19*x28 + m25*x29 + m31*x30; 183 x[25] -= m2*x25 + m8*x26 + m14*x27 + m20*x28 + m26*x29 + m32*x30; 184 x[26] -= m3*x25 + m9*x26 + m15*x27 + m21*x28 + m27*x29 + m33*x30; 185 x[27] -= m4*x25 + m10*x26 + m16*x27 + m22*x28 + m28*x29 + m34*x30; 186 x[28] -= m5*x25 + m11*x26 + m17*x27 + m23*x28 + m29*x29 + m35*x30; 187 x[29] -= m6*x25 + m12*x26 + m18*x27 + m24*x28 + m30*x29 + m36*x30; 188 189 x[30] -= m1*x31 + m7*x32 + m13*x33 + m19*x34 + m25*x35 + m31*x36; 190 x[31] -= m2*x31 + m8*x32 + m14*x33 + m20*x34 + m26*x35 + m32*x36; 191 x[32] -= m3*x31 + m9*x32 + m15*x33 + m21*x34 + m27*x35 + m33*x36; 192 x[33] -= m4*x31 + m10*x32 + m16*x33 + m22*x34 + m28*x35 + m34*x36; 193 x[34] -= m5*x31 + m11*x32 + m17*x33 + m23*x34 + m29*x35 + m35*x36; 194 x[35] -= m6*x31 + m12*x32 + m18*x33 + m24*x34 + m30*x35 + m36*x36; 195 196 pv += 36; 197 } 198 PetscLogFlops(432*nz+396); 199 } 200 row = *ajtmp++; 201 } 202 /* finished row so stick it into b->a */ 203 pv = ba + 36*bi[i]; 204 pj = bj + bi[i]; 205 nz = bi[i+1] - bi[i]; 206 for (j=0; j<nz; j++) { 207 x = rtmp+36*pj[j]; 208 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 209 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 210 pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 211 pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 212 pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 213 pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 214 pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 215 pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 216 pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 217 pv += 36; 218 } 219 /* invert diagonal block */ 220 w = ba + 36*diag_offset[i]; 221 ierr = Kernel_A_gets_inverse_A_6(w);CHKERRQ(ierr); 222 } 223 224 ierr = PetscFree(rtmp);CHKERRQ(ierr); 225 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 226 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 227 C->factor = FACTOR_LU; 228 C->assembled = PETSC_TRUE; 229 PetscLogFlops(1.3333*216*b->mbs); /* from inverting diagonal blocks */ 230 PetscFunctionReturn(0); 231 } 232