1 2 /* 3 Factorization code for BAIJ format. 4 */ 5 #include <../src/mat/impls/baij/seq/baij.h> 6 #include <../src/mat/blockinvert.h> 7 /* 8 Version for when blocks are 7 by 7 9 */ 10 #undef __FUNCT__ 11 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_7_inplace" 12 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7_inplace(Mat C,Mat A,const MatFactorInfo *info) 13 { 14 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 15 IS isrow = b->row,isicol = b->icol; 16 PetscErrorCode ierr; 17 const PetscInt *r,*ic,*bi = b->i,*bj = b->j,*ajtmp,*diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj,*ajtmpold; 18 PetscInt i,j,n = a->mbs,nz,row,idx; 19 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 20 MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 21 MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16; 22 MatScalar x17,x18,x19,x20,x21,x22,x23,x24,x25,p10,p11,p12,p13,p14; 23 MatScalar p15,p16,p17,p18,p19,p20,p21,p22,p23,p24,p25,m10,m11,m12; 24 MatScalar m13,m14,m15,m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 25 MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 26 MatScalar p37,p38,p39,p40,p41,p42,p43,p44,p45,p46,p47,p48,p49; 27 MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 28 MatScalar x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49; 29 MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 30 MatScalar m37,m38,m39,m40,m41,m42,m43,m44,m45,m46,m47,m48,m49; 31 MatScalar *ba = b->a,*aa = a->a; 32 PetscReal shift = info->shiftamount; 33 34 PetscFunctionBegin; 35 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 36 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 37 ierr = PetscMalloc(49*(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+49*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] = x[36] = x[37] = x[38] = x[39] = x[40] = x[41] = 0.0 ; 49 x[42] = x[43] = x[44] = x[45] = x[46] = x[47] = x[48] = 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 + 49*ai[idx]; 56 for (j=0; j<nz; j++) { 57 x = rtmp+49*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 x[36] = v[36]; x[37] = v[37]; x[38] = v[38]; x[39] = v[39]; 68 x[40] = v[40]; x[41] = v[41]; x[42] = v[42]; x[43] = v[43]; 69 x[44] = v[44]; x[45] = v[45]; x[46] = v[46]; x[47] = v[47]; 70 x[48] = v[48]; 71 v += 49; 72 } 73 row = *ajtmp++; 74 while (row < i) { 75 pc = rtmp + 49*row; 76 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 77 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 78 p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 79 p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 80 p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 81 p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 82 p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 83 p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 84 p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 85 p37 = pc[36]; p38 = pc[37]; p39 = pc[38]; p40 = pc[39]; 86 p41 = pc[40]; p42 = pc[41]; p43 = pc[42]; p44 = pc[43]; 87 p45 = pc[44]; p46 = pc[45]; p47 = pc[46]; p48 = pc[47]; 88 p49 = pc[48]; 89 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 90 p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 91 p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 92 p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 93 p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 94 p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 95 p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 96 p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 97 p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0 || 98 p37 != 0.0 || p38 != 0.0 || p39 != 0.0 || p40 != 0.0 || 99 p41 != 0.0 || p42 != 0.0 || p43 != 0.0 || p44 != 0.0 || 100 p45 != 0.0 || p46 != 0.0 || p47 != 0.0 || p48 != 0.0 || 101 p49 != 0.0) { 102 pv = ba + 49*diag_offset[row]; 103 pj = bj + diag_offset[row] + 1; 104 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 105 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 106 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 107 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 108 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 109 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 110 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 111 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 112 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 113 x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 114 x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 115 x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 116 x49 = pv[48]; 117 pc[0] = m1 = p1*x1 + p8*x2 + p15*x3 + p22*x4 + p29*x5 + p36*x6 + p43*x7; 118 pc[1] = m2 = p2*x1 + p9*x2 + p16*x3 + p23*x4 + p30*x5 + p37*x6 + p44*x7; 119 pc[2] = m3 = p3*x1 + p10*x2 + p17*x3 + p24*x4 + p31*x5 + p38*x6 + p45*x7; 120 pc[3] = m4 = p4*x1 + p11*x2 + p18*x3 + p25*x4 + p32*x5 + p39*x6 + p46*x7; 121 pc[4] = m5 = p5*x1 + p12*x2 + p19*x3 + p26*x4 + p33*x5 + p40*x6 + p47*x7; 122 pc[5] = m6 = p6*x1 + p13*x2 + p20*x3 + p27*x4 + p34*x5 + p41*x6 + p48*x7; 123 pc[6] = m7 = p7*x1 + p14*x2 + p21*x3 + p28*x4 + p35*x5 + p42*x6 + p49*x7; 124 125 pc[7] = m8 = p1*x8 + p8*x9 + p15*x10 + p22*x11 + p29*x12 + p36*x13 + p43*x14; 126 pc[8] = m9 = p2*x8 + p9*x9 + p16*x10 + p23*x11 + p30*x12 + p37*x13 + p44*x14; 127 pc[9] = m10 = p3*x8 + p10*x9 + p17*x10 + p24*x11 + p31*x12 + p38*x13 + p45*x14; 128 pc[10] = m11 = p4*x8 + p11*x9 + p18*x10 + p25*x11 + p32*x12 + p39*x13 + p46*x14; 129 pc[11] = m12 = p5*x8 + p12*x9 + p19*x10 + p26*x11 + p33*x12 + p40*x13 + p47*x14; 130 pc[12] = m13 = p6*x8 + p13*x9 + p20*x10 + p27*x11 + p34*x12 + p41*x13 + p48*x14; 131 pc[13] = m14 = p7*x8 + p14*x9 + p21*x10 + p28*x11 + p35*x12 + p42*x13 + p49*x14; 132 133 pc[14] = m15 = p1*x15 + p8*x16 + p15*x17 + p22*x18 + p29*x19 + p36*x20 + p43*x21; 134 pc[15] = m16 = p2*x15 + p9*x16 + p16*x17 + p23*x18 + p30*x19 + p37*x20 + p44*x21; 135 pc[16] = m17 = p3*x15 + p10*x16 + p17*x17 + p24*x18 + p31*x19 + p38*x20 + p45*x21; 136 pc[17] = m18 = p4*x15 + p11*x16 + p18*x17 + p25*x18 + p32*x19 + p39*x20 + p46*x21; 137 pc[18] = m19 = p5*x15 + p12*x16 + p19*x17 + p26*x18 + p33*x19 + p40*x20 + p47*x21; 138 pc[19] = m20 = p6*x15 + p13*x16 + p20*x17 + p27*x18 + p34*x19 + p41*x20 + p48*x21; 139 pc[20] = m21 = p7*x15 + p14*x16 + p21*x17 + p28*x18 + p35*x19 + p42*x20 + p49*x21; 140 141 pc[21] = m22 = p1*x22 + p8*x23 + p15*x24 + p22*x25 + p29*x26 + p36*x27 + p43*x28; 142 pc[22] = m23 = p2*x22 + p9*x23 + p16*x24 + p23*x25 + p30*x26 + p37*x27 + p44*x28; 143 pc[23] = m24 = p3*x22 + p10*x23 + p17*x24 + p24*x25 + p31*x26 + p38*x27 + p45*x28; 144 pc[24] = m25 = p4*x22 + p11*x23 + p18*x24 + p25*x25 + p32*x26 + p39*x27 + p46*x28; 145 pc[25] = m26 = p5*x22 + p12*x23 + p19*x24 + p26*x25 + p33*x26 + p40*x27 + p47*x28; 146 pc[26] = m27 = p6*x22 + p13*x23 + p20*x24 + p27*x25 + p34*x26 + p41*x27 + p48*x28; 147 pc[27] = m28 = p7*x22 + p14*x23 + p21*x24 + p28*x25 + p35*x26 + p42*x27 + p49*x28; 148 149 pc[28] = m29 = p1*x29 + p8*x30 + p15*x31 + p22*x32 + p29*x33 + p36*x34 + p43*x35; 150 pc[29] = m30 = p2*x29 + p9*x30 + p16*x31 + p23*x32 + p30*x33 + p37*x34 + p44*x35; 151 pc[30] = m31 = p3*x29 + p10*x30 + p17*x31 + p24*x32 + p31*x33 + p38*x34 + p45*x35; 152 pc[31] = m32 = p4*x29 + p11*x30 + p18*x31 + p25*x32 + p32*x33 + p39*x34 + p46*x35; 153 pc[32] = m33 = p5*x29 + p12*x30 + p19*x31 + p26*x32 + p33*x33 + p40*x34 + p47*x35; 154 pc[33] = m34 = p6*x29 + p13*x30 + p20*x31 + p27*x32 + p34*x33 + p41*x34 + p48*x35; 155 pc[34] = m35 = p7*x29 + p14*x30 + p21*x31 + p28*x32 + p35*x33 + p42*x34 + p49*x35; 156 157 pc[35] = m36 = p1*x36 + p8*x37 + p15*x38 + p22*x39 + p29*x40 + p36*x41 + p43*x42; 158 pc[36] = m37 = p2*x36 + p9*x37 + p16*x38 + p23*x39 + p30*x40 + p37*x41 + p44*x42; 159 pc[37] = m38 = p3*x36 + p10*x37 + p17*x38 + p24*x39 + p31*x40 + p38*x41 + p45*x42; 160 pc[38] = m39 = p4*x36 + p11*x37 + p18*x38 + p25*x39 + p32*x40 + p39*x41 + p46*x42; 161 pc[39] = m40 = p5*x36 + p12*x37 + p19*x38 + p26*x39 + p33*x40 + p40*x41 + p47*x42; 162 pc[40] = m41 = p6*x36 + p13*x37 + p20*x38 + p27*x39 + p34*x40 + p41*x41 + p48*x42; 163 pc[41] = m42 = p7*x36 + p14*x37 + p21*x38 + p28*x39 + p35*x40 + p42*x41 + p49*x42; 164 165 pc[42] = m43 = p1*x43 + p8*x44 + p15*x45 + p22*x46 + p29*x47 + p36*x48 + p43*x49; 166 pc[43] = m44 = p2*x43 + p9*x44 + p16*x45 + p23*x46 + p30*x47 + p37*x48 + p44*x49; 167 pc[44] = m45 = p3*x43 + p10*x44 + p17*x45 + p24*x46 + p31*x47 + p38*x48 + p45*x49; 168 pc[45] = m46 = p4*x43 + p11*x44 + p18*x45 + p25*x46 + p32*x47 + p39*x48 + p46*x49; 169 pc[46] = m47 = p5*x43 + p12*x44 + p19*x45 + p26*x46 + p33*x47 + p40*x48 + p47*x49; 170 pc[47] = m48 = p6*x43 + p13*x44 + p20*x45 + p27*x46 + p34*x47 + p41*x48 + p48*x49; 171 pc[48] = m49 = p7*x43 + p14*x44 + p21*x45 + p28*x46 + p35*x47 + p42*x48 + p49*x49; 172 173 nz = bi[row+1] - diag_offset[row] - 1; 174 pv += 49; 175 for (j=0; j<nz; j++) { 176 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 177 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 178 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 179 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 180 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 181 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 182 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 183 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 184 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 185 x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 186 x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 187 x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 188 x49 = pv[48]; 189 x = rtmp + 49*pj[j]; 190 x[0] -= m1*x1 + m8*x2 + m15*x3 + m22*x4 + m29*x5 + m36*x6 + m43*x7; 191 x[1] -= m2*x1 + m9*x2 + m16*x3 + m23*x4 + m30*x5 + m37*x6 + m44*x7; 192 x[2] -= m3*x1 + m10*x2 + m17*x3 + m24*x4 + m31*x5 + m38*x6 + m45*x7; 193 x[3] -= m4*x1 + m11*x2 + m18*x3 + m25*x4 + m32*x5 + m39*x6 + m46*x7; 194 x[4] -= m5*x1 + m12*x2 + m19*x3 + m26*x4 + m33*x5 + m40*x6 + m47*x7; 195 x[5] -= m6*x1 + m13*x2 + m20*x3 + m27*x4 + m34*x5 + m41*x6 + m48*x7; 196 x[6] -= m7*x1 + m14*x2 + m21*x3 + m28*x4 + m35*x5 + m42*x6 + m49*x7; 197 198 x[7] -= m1*x8 + m8*x9 + m15*x10 + m22*x11 + m29*x12 + m36*x13 + m43*x14; 199 x[8] -= m2*x8 + m9*x9 + m16*x10 + m23*x11 + m30*x12 + m37*x13 + m44*x14; 200 x[9] -= m3*x8 + m10*x9 + m17*x10 + m24*x11 + m31*x12 + m38*x13 + m45*x14; 201 x[10] -= m4*x8 + m11*x9 + m18*x10 + m25*x11 + m32*x12 + m39*x13 + m46*x14; 202 x[11] -= m5*x8 + m12*x9 + m19*x10 + m26*x11 + m33*x12 + m40*x13 + m47*x14; 203 x[12] -= m6*x8 + m13*x9 + m20*x10 + m27*x11 + m34*x12 + m41*x13 + m48*x14; 204 x[13] -= m7*x8 + m14*x9 + m21*x10 + m28*x11 + m35*x12 + m42*x13 + m49*x14; 205 206 x[14] -= m1*x15 + m8*x16 + m15*x17 + m22*x18 + m29*x19 + m36*x20 + m43*x21; 207 x[15] -= m2*x15 + m9*x16 + m16*x17 + m23*x18 + m30*x19 + m37*x20 + m44*x21; 208 x[16] -= m3*x15 + m10*x16 + m17*x17 + m24*x18 + m31*x19 + m38*x20 + m45*x21; 209 x[17] -= m4*x15 + m11*x16 + m18*x17 + m25*x18 + m32*x19 + m39*x20 + m46*x21; 210 x[18] -= m5*x15 + m12*x16 + m19*x17 + m26*x18 + m33*x19 + m40*x20 + m47*x21; 211 x[19] -= m6*x15 + m13*x16 + m20*x17 + m27*x18 + m34*x19 + m41*x20 + m48*x21; 212 x[20] -= m7*x15 + m14*x16 + m21*x17 + m28*x18 + m35*x19 + m42*x20 + m49*x21; 213 214 x[21] -= m1*x22 + m8*x23 + m15*x24 + m22*x25 + m29*x26 + m36*x27 + m43*x28; 215 x[22] -= m2*x22 + m9*x23 + m16*x24 + m23*x25 + m30*x26 + m37*x27 + m44*x28; 216 x[23] -= m3*x22 + m10*x23 + m17*x24 + m24*x25 + m31*x26 + m38*x27 + m45*x28; 217 x[24] -= m4*x22 + m11*x23 + m18*x24 + m25*x25 + m32*x26 + m39*x27 + m46*x28; 218 x[25] -= m5*x22 + m12*x23 + m19*x24 + m26*x25 + m33*x26 + m40*x27 + m47*x28; 219 x[26] -= m6*x22 + m13*x23 + m20*x24 + m27*x25 + m34*x26 + m41*x27 + m48*x28; 220 x[27] -= m7*x22 + m14*x23 + m21*x24 + m28*x25 + m35*x26 + m42*x27 + m49*x28; 221 222 x[28] -= m1*x29 + m8*x30 + m15*x31 + m22*x32 + m29*x33 + m36*x34 + m43*x35; 223 x[29] -= m2*x29 + m9*x30 + m16*x31 + m23*x32 + m30*x33 + m37*x34 + m44*x35; 224 x[30] -= m3*x29 + m10*x30 + m17*x31 + m24*x32 + m31*x33 + m38*x34 + m45*x35; 225 x[31] -= m4*x29 + m11*x30 + m18*x31 + m25*x32 + m32*x33 + m39*x34 + m46*x35; 226 x[32] -= m5*x29 + m12*x30 + m19*x31 + m26*x32 + m33*x33 + m40*x34 + m47*x35; 227 x[33] -= m6*x29 + m13*x30 + m20*x31 + m27*x32 + m34*x33 + m41*x34 + m48*x35; 228 x[34] -= m7*x29 + m14*x30 + m21*x31 + m28*x32 + m35*x33 + m42*x34 + m49*x35; 229 230 x[35] -= m1*x36 + m8*x37 + m15*x38 + m22*x39 + m29*x40 + m36*x41 + m43*x42; 231 x[36] -= m2*x36 + m9*x37 + m16*x38 + m23*x39 + m30*x40 + m37*x41 + m44*x42; 232 x[37] -= m3*x36 + m10*x37 + m17*x38 + m24*x39 + m31*x40 + m38*x41 + m45*x42; 233 x[38] -= m4*x36 + m11*x37 + m18*x38 + m25*x39 + m32*x40 + m39*x41 + m46*x42; 234 x[39] -= m5*x36 + m12*x37 + m19*x38 + m26*x39 + m33*x40 + m40*x41 + m47*x42; 235 x[40] -= m6*x36 + m13*x37 + m20*x38 + m27*x39 + m34*x40 + m41*x41 + m48*x42; 236 x[41] -= m7*x36 + m14*x37 + m21*x38 + m28*x39 + m35*x40 + m42*x41 + m49*x42; 237 238 x[42] -= m1*x43 + m8*x44 + m15*x45 + m22*x46 + m29*x47 + m36*x48 + m43*x49; 239 x[43] -= m2*x43 + m9*x44 + m16*x45 + m23*x46 + m30*x47 + m37*x48 + m44*x49; 240 x[44] -= m3*x43 + m10*x44 + m17*x45 + m24*x46 + m31*x47 + m38*x48 + m45*x49; 241 x[45] -= m4*x43 + m11*x44 + m18*x45 + m25*x46 + m32*x47 + m39*x48 + m46*x49; 242 x[46] -= m5*x43 + m12*x44 + m19*x45 + m26*x46 + m33*x47 + m40*x48 + m47*x49; 243 x[47] -= m6*x43 + m13*x44 + m20*x45 + m27*x46 + m34*x47 + m41*x48 + m48*x49; 244 x[48] -= m7*x43 + m14*x44 + m21*x45 + m28*x46 + m35*x47 + m42*x48 + m49*x49; 245 pv += 49; 246 } 247 ierr = PetscLogFlops(686.0*nz+637.0);CHKERRQ(ierr); 248 } 249 row = *ajtmp++; 250 } 251 /* finished row so stick it into b->a */ 252 pv = ba + 49*bi[i]; 253 pj = bj + bi[i]; 254 nz = bi[i+1] - bi[i]; 255 for (j=0; j<nz; j++) { 256 x = rtmp+49*pj[j]; 257 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 258 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 259 pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 260 pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 261 pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 262 pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 263 pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 264 pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 265 pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 266 pv[36] = x[36]; pv[37] = x[37]; pv[38] = x[38]; pv[39] = x[39]; 267 pv[40] = x[40]; pv[41] = x[41]; pv[42] = x[42]; pv[43] = x[43]; 268 pv[44] = x[44]; pv[45] = x[45]; pv[46] = x[46]; pv[47] = x[47]; 269 pv[48] = x[48]; 270 pv += 49; 271 } 272 /* invert diagonal block */ 273 w = ba + 49*diag_offset[i]; 274 ierr = PetscKernel_A_gets_inverse_A_7(w,shift);CHKERRQ(ierr); 275 } 276 277 ierr = PetscFree(rtmp);CHKERRQ(ierr); 278 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 279 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 280 C->ops->solve = MatSolve_SeqBAIJ_7_inplace; 281 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_7_inplace; 282 C->assembled = PETSC_TRUE; 283 ierr = PetscLogFlops(1.333333333333*7*7*7*b->mbs);CHKERRQ(ierr); /* from inverting diagonal blocks */ 284 PetscFunctionReturn(0); 285 } 286 287 288 #undef __FUNCT__ 289 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_7" 290 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7(Mat B,Mat A,const MatFactorInfo *info) 291 { 292 Mat C=B; 293 Mat_SeqBAIJ *a=(Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ *)C->data; 294 IS isrow = b->row,isicol = b->icol; 295 PetscErrorCode ierr; 296 const PetscInt *r,*ic; 297 PetscInt i,j,k,nz,nzL,row; 298 const PetscInt n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j; 299 const PetscInt *ajtmp,*bjtmp,*bdiag=b->diag,*pj,bs2=a->bs2; 300 MatScalar *rtmp,*pc,*mwork,*v,*pv,*aa=a->a; 301 PetscInt flg; 302 PetscReal shift = info->shiftamount; 303 304 PetscFunctionBegin; 305 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 306 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 307 308 /* generate work space needed by the factorization */ 309 ierr = PetscMalloc2(bs2*n,MatScalar,&rtmp,bs2,MatScalar,&mwork);CHKERRQ(ierr); 310 ierr = PetscMemzero(rtmp,bs2*n*sizeof(MatScalar));CHKERRQ(ierr); 311 312 for (i=0; i<n; i++) { 313 /* zero rtmp */ 314 /* L part */ 315 nz = bi[i+1] - bi[i]; 316 bjtmp = bj + bi[i]; 317 for (j=0; j<nz; j++) { 318 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 319 } 320 321 /* U part */ 322 nz = bdiag[i] - bdiag[i+1]; 323 bjtmp = bj + bdiag[i+1]+1; 324 for (j=0; j<nz; j++) { 325 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 326 } 327 328 /* load in initial (unfactored row) */ 329 nz = ai[r[i]+1] - ai[r[i]]; 330 ajtmp = aj + ai[r[i]]; 331 v = aa + bs2*ai[r[i]]; 332 for (j=0; j<nz; j++) { 333 ierr = PetscMemcpy(rtmp+bs2*ic[ajtmp[j]],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr); 334 } 335 336 /* elimination */ 337 bjtmp = bj + bi[i]; 338 nzL = bi[i+1] - bi[i]; 339 for (k=0;k < nzL;k++) { 340 row = bjtmp[k]; 341 pc = rtmp + bs2*row; 342 for (flg=0,j=0; j<bs2; j++) { 343 if (pc[j]!=0.0) { 344 flg = 1; 345 break; 346 } 347 } 348 if (flg) { 349 pv = b->a + bs2*bdiag[row]; 350 /* PetscKernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 351 ierr = PetscKernel_A_gets_A_times_B_7(pc,pv,mwork);CHKERRQ(ierr); 352 353 pj = b->j + bdiag[row+1]+1; /* begining of U(row,:) */ 354 pv = b->a + bs2*(bdiag[row+1]+1); 355 nz = bdiag[row] - bdiag[row+1] - 1; /* num of entries inU(row,:), excluding diag */ 356 for (j=0; j<nz; j++) { 357 /* PetscKernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 358 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 359 v = rtmp + bs2*pj[j]; 360 ierr = PetscKernel_A_gets_A_minus_B_times_C_7(v,pc,pv);CHKERRQ(ierr); 361 pv += bs2; 362 } 363 ierr = PetscLogFlops(686*nz+637);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 364 } 365 } 366 367 /* finished row so stick it into b->a */ 368 /* L part */ 369 pv = b->a + bs2*bi[i] ; 370 pj = b->j + bi[i] ; 371 nz = bi[i+1] - bi[i]; 372 for (j=0; j<nz; j++) { 373 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 374 } 375 376 /* Mark diagonal and invert diagonal for simplier triangular solves */ 377 pv = b->a + bs2*bdiag[i]; 378 pj = b->j + bdiag[i]; 379 ierr = PetscMemcpy(pv,rtmp+bs2*pj[0],bs2*sizeof(MatScalar));CHKERRQ(ierr); 380 /* ierr = PetscKernel_A_gets_inverse_A(bs,pv,v_pivots,v_work);CHKERRQ(ierr); */ 381 ierr = PetscKernel_A_gets_inverse_A_7(pv,shift);CHKERRQ(ierr); 382 383 /* U part */ 384 pv = b->a + bs2*(bdiag[i+1]+1); 385 pj = b->j + bdiag[i+1]+1; 386 nz = bdiag[i] - bdiag[i+1] - 1; 387 for (j=0; j<nz; j++) { 388 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 389 } 390 } 391 392 ierr = PetscFree2(rtmp,mwork);CHKERRQ(ierr); 393 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 394 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 395 C->ops->solve = MatSolve_SeqBAIJ_7; 396 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_7; 397 C->assembled = PETSC_TRUE; 398 ierr = PetscLogFlops(1.333333333333*7*7*7*n);CHKERRQ(ierr); /* from inverting diagonal blocks */ 399 PetscFunctionReturn(0); 400 } 401 402 #undef __FUNCT__ 403 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering_inplace" 404 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering_inplace(Mat C,Mat A,const MatFactorInfo *info) 405 { 406 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 407 PetscErrorCode ierr; 408 PetscInt i,j,n = a->mbs,*bi = b->i,*bj = b->j; 409 PetscInt *ajtmpold,*ajtmp,nz,row; 410 PetscInt *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 411 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 412 MatScalar x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15; 413 MatScalar x16,x17,x18,x19,x20,x21,x22,x23,x24,x25; 414 MatScalar p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15; 415 MatScalar p16,p17,p18,p19,p20,p21,p22,p23,p24,p25; 416 MatScalar m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15; 417 MatScalar m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 418 MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 419 MatScalar p37,p38,p39,p40,p41,p42,p43,p44,p45,p46,p47,p48,p49; 420 MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 421 MatScalar x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49; 422 MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 423 MatScalar m37,m38,m39,m40,m41,m42,m43,m44,m45,m46,m47,m48,m49; 424 MatScalar *ba = b->a,*aa = a->a; 425 PetscReal shift = info->shiftamount; 426 427 PetscFunctionBegin; 428 ierr = PetscMalloc(49*(n+1)*sizeof(MatScalar),&rtmp);CHKERRQ(ierr); 429 for (i=0; i<n; i++) { 430 nz = bi[i+1] - bi[i]; 431 ajtmp = bj + bi[i]; 432 for (j=0; j<nz; j++) { 433 x = rtmp+49*ajtmp[j]; 434 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 435 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 436 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0 ; 437 x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0 ; 438 x[34] = x[35] = x[36] = x[37] = x[38] = x[39] = x[40] = x[41] = 0.0 ; 439 x[42] = x[43] = x[44] = x[45] = x[46] = x[47] = x[48] = 0.0 ; 440 } 441 /* load in initial (unfactored row) */ 442 nz = ai[i+1] - ai[i]; 443 ajtmpold = aj + ai[i]; 444 v = aa + 49*ai[i]; 445 for (j=0; j<nz; j++) { 446 x = rtmp+49*ajtmpold[j]; 447 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 448 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 449 x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 450 x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 451 x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 452 x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 453 x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 454 x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 455 x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 456 x[36] = v[36]; x[37] = v[37]; x[38] = v[38]; x[39] = v[39]; 457 x[40] = v[40]; x[41] = v[41]; x[42] = v[42]; x[43] = v[43]; 458 x[44] = v[44]; x[45] = v[45]; x[46] = v[46]; x[47] = v[47]; 459 x[48] = v[48]; 460 v += 49; 461 } 462 row = *ajtmp++; 463 while (row < i) { 464 pc = rtmp + 49*row; 465 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 466 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 467 p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 468 p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 469 p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 470 p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 471 p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 472 p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 473 p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 474 p37 = pc[36]; p38 = pc[37]; p39 = pc[38]; p40 = pc[39]; 475 p41 = pc[40]; p42 = pc[41]; p43 = pc[42]; p44 = pc[43]; 476 p45 = pc[44]; p46 = pc[45]; p47 = pc[46]; p48 = pc[47]; 477 p49 = pc[48]; 478 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 479 p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 480 p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 481 p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 482 p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 483 p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 484 p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 485 p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 486 p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0 || 487 p37 != 0.0 || p38 != 0.0 || p39 != 0.0 || p40 != 0.0 || 488 p41 != 0.0 || p42 != 0.0 || p43 != 0.0 || p44 != 0.0 || 489 p45 != 0.0 || p46 != 0.0 || p47 != 0.0 || p48 != 0.0 || 490 p49 != 0.0) { 491 pv = ba + 49*diag_offset[row]; 492 pj = bj + diag_offset[row] + 1; 493 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 494 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 495 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 496 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 497 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 498 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 499 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 500 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 501 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 502 x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 503 x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 504 x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 505 x49 = pv[48]; 506 pc[0] = m1 = p1*x1 + p8*x2 + p15*x3 + p22*x4 + p29*x5 + p36*x6 + p43*x7; 507 pc[1] = m2 = p2*x1 + p9*x2 + p16*x3 + p23*x4 + p30*x5 + p37*x6 + p44*x7; 508 pc[2] = m3 = p3*x1 + p10*x2 + p17*x3 + p24*x4 + p31*x5 + p38*x6 + p45*x7; 509 pc[3] = m4 = p4*x1 + p11*x2 + p18*x3 + p25*x4 + p32*x5 + p39*x6 + p46*x7; 510 pc[4] = m5 = p5*x1 + p12*x2 + p19*x3 + p26*x4 + p33*x5 + p40*x6 + p47*x7; 511 pc[5] = m6 = p6*x1 + p13*x2 + p20*x3 + p27*x4 + p34*x5 + p41*x6 + p48*x7; 512 pc[6] = m7 = p7*x1 + p14*x2 + p21*x3 + p28*x4 + p35*x5 + p42*x6 + p49*x7; 513 514 pc[7] = m8 = p1*x8 + p8*x9 + p15*x10 + p22*x11 + p29*x12 + p36*x13 + p43*x14; 515 pc[8] = m9 = p2*x8 + p9*x9 + p16*x10 + p23*x11 + p30*x12 + p37*x13 + p44*x14; 516 pc[9] = m10 = p3*x8 + p10*x9 + p17*x10 + p24*x11 + p31*x12 + p38*x13 + p45*x14; 517 pc[10] = m11 = p4*x8 + p11*x9 + p18*x10 + p25*x11 + p32*x12 + p39*x13 + p46*x14; 518 pc[11] = m12 = p5*x8 + p12*x9 + p19*x10 + p26*x11 + p33*x12 + p40*x13 + p47*x14; 519 pc[12] = m13 = p6*x8 + p13*x9 + p20*x10 + p27*x11 + p34*x12 + p41*x13 + p48*x14; 520 pc[13] = m14 = p7*x8 + p14*x9 + p21*x10 + p28*x11 + p35*x12 + p42*x13 + p49*x14; 521 522 pc[14] = m15 = p1*x15 + p8*x16 + p15*x17 + p22*x18 + p29*x19 + p36*x20 + p43*x21; 523 pc[15] = m16 = p2*x15 + p9*x16 + p16*x17 + p23*x18 + p30*x19 + p37*x20 + p44*x21; 524 pc[16] = m17 = p3*x15 + p10*x16 + p17*x17 + p24*x18 + p31*x19 + p38*x20 + p45*x21; 525 pc[17] = m18 = p4*x15 + p11*x16 + p18*x17 + p25*x18 + p32*x19 + p39*x20 + p46*x21; 526 pc[18] = m19 = p5*x15 + p12*x16 + p19*x17 + p26*x18 + p33*x19 + p40*x20 + p47*x21; 527 pc[19] = m20 = p6*x15 + p13*x16 + p20*x17 + p27*x18 + p34*x19 + p41*x20 + p48*x21; 528 pc[20] = m21 = p7*x15 + p14*x16 + p21*x17 + p28*x18 + p35*x19 + p42*x20 + p49*x21; 529 530 pc[21] = m22 = p1*x22 + p8*x23 + p15*x24 + p22*x25 + p29*x26 + p36*x27 + p43*x28; 531 pc[22] = m23 = p2*x22 + p9*x23 + p16*x24 + p23*x25 + p30*x26 + p37*x27 + p44*x28; 532 pc[23] = m24 = p3*x22 + p10*x23 + p17*x24 + p24*x25 + p31*x26 + p38*x27 + p45*x28; 533 pc[24] = m25 = p4*x22 + p11*x23 + p18*x24 + p25*x25 + p32*x26 + p39*x27 + p46*x28; 534 pc[25] = m26 = p5*x22 + p12*x23 + p19*x24 + p26*x25 + p33*x26 + p40*x27 + p47*x28; 535 pc[26] = m27 = p6*x22 + p13*x23 + p20*x24 + p27*x25 + p34*x26 + p41*x27 + p48*x28; 536 pc[27] = m28 = p7*x22 + p14*x23 + p21*x24 + p28*x25 + p35*x26 + p42*x27 + p49*x28; 537 538 pc[28] = m29 = p1*x29 + p8*x30 + p15*x31 + p22*x32 + p29*x33 + p36*x34 + p43*x35; 539 pc[29] = m30 = p2*x29 + p9*x30 + p16*x31 + p23*x32 + p30*x33 + p37*x34 + p44*x35; 540 pc[30] = m31 = p3*x29 + p10*x30 + p17*x31 + p24*x32 + p31*x33 + p38*x34 + p45*x35; 541 pc[31] = m32 = p4*x29 + p11*x30 + p18*x31 + p25*x32 + p32*x33 + p39*x34 + p46*x35; 542 pc[32] = m33 = p5*x29 + p12*x30 + p19*x31 + p26*x32 + p33*x33 + p40*x34 + p47*x35; 543 pc[33] = m34 = p6*x29 + p13*x30 + p20*x31 + p27*x32 + p34*x33 + p41*x34 + p48*x35; 544 pc[34] = m35 = p7*x29 + p14*x30 + p21*x31 + p28*x32 + p35*x33 + p42*x34 + p49*x35; 545 546 pc[35] = m36 = p1*x36 + p8*x37 + p15*x38 + p22*x39 + p29*x40 + p36*x41 + p43*x42; 547 pc[36] = m37 = p2*x36 + p9*x37 + p16*x38 + p23*x39 + p30*x40 + p37*x41 + p44*x42; 548 pc[37] = m38 = p3*x36 + p10*x37 + p17*x38 + p24*x39 + p31*x40 + p38*x41 + p45*x42; 549 pc[38] = m39 = p4*x36 + p11*x37 + p18*x38 + p25*x39 + p32*x40 + p39*x41 + p46*x42; 550 pc[39] = m40 = p5*x36 + p12*x37 + p19*x38 + p26*x39 + p33*x40 + p40*x41 + p47*x42; 551 pc[40] = m41 = p6*x36 + p13*x37 + p20*x38 + p27*x39 + p34*x40 + p41*x41 + p48*x42; 552 pc[41] = m42 = p7*x36 + p14*x37 + p21*x38 + p28*x39 + p35*x40 + p42*x41 + p49*x42; 553 554 pc[42] = m43 = p1*x43 + p8*x44 + p15*x45 + p22*x46 + p29*x47 + p36*x48 + p43*x49; 555 pc[43] = m44 = p2*x43 + p9*x44 + p16*x45 + p23*x46 + p30*x47 + p37*x48 + p44*x49; 556 pc[44] = m45 = p3*x43 + p10*x44 + p17*x45 + p24*x46 + p31*x47 + p38*x48 + p45*x49; 557 pc[45] = m46 = p4*x43 + p11*x44 + p18*x45 + p25*x46 + p32*x47 + p39*x48 + p46*x49; 558 pc[46] = m47 = p5*x43 + p12*x44 + p19*x45 + p26*x46 + p33*x47 + p40*x48 + p47*x49; 559 pc[47] = m48 = p6*x43 + p13*x44 + p20*x45 + p27*x46 + p34*x47 + p41*x48 + p48*x49; 560 pc[48] = m49 = p7*x43 + p14*x44 + p21*x45 + p28*x46 + p35*x47 + p42*x48 + p49*x49; 561 562 nz = bi[row+1] - diag_offset[row] - 1; 563 pv += 49; 564 for (j=0; j<nz; j++) { 565 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 566 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 567 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 568 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 569 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 570 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 571 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 572 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 573 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 574 x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 575 x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 576 x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 577 x49 = pv[48]; 578 x = rtmp + 49*pj[j]; 579 x[0] -= m1*x1 + m8*x2 + m15*x3 + m22*x4 + m29*x5 + m36*x6 + m43*x7; 580 x[1] -= m2*x1 + m9*x2 + m16*x3 + m23*x4 + m30*x5 + m37*x6 + m44*x7; 581 x[2] -= m3*x1 + m10*x2 + m17*x3 + m24*x4 + m31*x5 + m38*x6 + m45*x7; 582 x[3] -= m4*x1 + m11*x2 + m18*x3 + m25*x4 + m32*x5 + m39*x6 + m46*x7; 583 x[4] -= m5*x1 + m12*x2 + m19*x3 + m26*x4 + m33*x5 + m40*x6 + m47*x7; 584 x[5] -= m6*x1 + m13*x2 + m20*x3 + m27*x4 + m34*x5 + m41*x6 + m48*x7; 585 x[6] -= m7*x1 + m14*x2 + m21*x3 + m28*x4 + m35*x5 + m42*x6 + m49*x7; 586 587 x[7] -= m1*x8 + m8*x9 + m15*x10 + m22*x11 + m29*x12 + m36*x13 + m43*x14; 588 x[8] -= m2*x8 + m9*x9 + m16*x10 + m23*x11 + m30*x12 + m37*x13 + m44*x14; 589 x[9] -= m3*x8 + m10*x9 + m17*x10 + m24*x11 + m31*x12 + m38*x13 + m45*x14; 590 x[10] -= m4*x8 + m11*x9 + m18*x10 + m25*x11 + m32*x12 + m39*x13 + m46*x14; 591 x[11] -= m5*x8 + m12*x9 + m19*x10 + m26*x11 + m33*x12 + m40*x13 + m47*x14; 592 x[12] -= m6*x8 + m13*x9 + m20*x10 + m27*x11 + m34*x12 + m41*x13 + m48*x14; 593 x[13] -= m7*x8 + m14*x9 + m21*x10 + m28*x11 + m35*x12 + m42*x13 + m49*x14; 594 595 x[14] -= m1*x15 + m8*x16 + m15*x17 + m22*x18 + m29*x19 + m36*x20 + m43*x21; 596 x[15] -= m2*x15 + m9*x16 + m16*x17 + m23*x18 + m30*x19 + m37*x20 + m44*x21; 597 x[16] -= m3*x15 + m10*x16 + m17*x17 + m24*x18 + m31*x19 + m38*x20 + m45*x21; 598 x[17] -= m4*x15 + m11*x16 + m18*x17 + m25*x18 + m32*x19 + m39*x20 + m46*x21; 599 x[18] -= m5*x15 + m12*x16 + m19*x17 + m26*x18 + m33*x19 + m40*x20 + m47*x21; 600 x[19] -= m6*x15 + m13*x16 + m20*x17 + m27*x18 + m34*x19 + m41*x20 + m48*x21; 601 x[20] -= m7*x15 + m14*x16 + m21*x17 + m28*x18 + m35*x19 + m42*x20 + m49*x21; 602 603 x[21] -= m1*x22 + m8*x23 + m15*x24 + m22*x25 + m29*x26 + m36*x27 + m43*x28; 604 x[22] -= m2*x22 + m9*x23 + m16*x24 + m23*x25 + m30*x26 + m37*x27 + m44*x28; 605 x[23] -= m3*x22 + m10*x23 + m17*x24 + m24*x25 + m31*x26 + m38*x27 + m45*x28; 606 x[24] -= m4*x22 + m11*x23 + m18*x24 + m25*x25 + m32*x26 + m39*x27 + m46*x28; 607 x[25] -= m5*x22 + m12*x23 + m19*x24 + m26*x25 + m33*x26 + m40*x27 + m47*x28; 608 x[26] -= m6*x22 + m13*x23 + m20*x24 + m27*x25 + m34*x26 + m41*x27 + m48*x28; 609 x[27] -= m7*x22 + m14*x23 + m21*x24 + m28*x25 + m35*x26 + m42*x27 + m49*x28; 610 611 x[28] -= m1*x29 + m8*x30 + m15*x31 + m22*x32 + m29*x33 + m36*x34 + m43*x35; 612 x[29] -= m2*x29 + m9*x30 + m16*x31 + m23*x32 + m30*x33 + m37*x34 + m44*x35; 613 x[30] -= m3*x29 + m10*x30 + m17*x31 + m24*x32 + m31*x33 + m38*x34 + m45*x35; 614 x[31] -= m4*x29 + m11*x30 + m18*x31 + m25*x32 + m32*x33 + m39*x34 + m46*x35; 615 x[32] -= m5*x29 + m12*x30 + m19*x31 + m26*x32 + m33*x33 + m40*x34 + m47*x35; 616 x[33] -= m6*x29 + m13*x30 + m20*x31 + m27*x32 + m34*x33 + m41*x34 + m48*x35; 617 x[34] -= m7*x29 + m14*x30 + m21*x31 + m28*x32 + m35*x33 + m42*x34 + m49*x35; 618 619 x[35] -= m1*x36 + m8*x37 + m15*x38 + m22*x39 + m29*x40 + m36*x41 + m43*x42; 620 x[36] -= m2*x36 + m9*x37 + m16*x38 + m23*x39 + m30*x40 + m37*x41 + m44*x42; 621 x[37] -= m3*x36 + m10*x37 + m17*x38 + m24*x39 + m31*x40 + m38*x41 + m45*x42; 622 x[38] -= m4*x36 + m11*x37 + m18*x38 + m25*x39 + m32*x40 + m39*x41 + m46*x42; 623 x[39] -= m5*x36 + m12*x37 + m19*x38 + m26*x39 + m33*x40 + m40*x41 + m47*x42; 624 x[40] -= m6*x36 + m13*x37 + m20*x38 + m27*x39 + m34*x40 + m41*x41 + m48*x42; 625 x[41] -= m7*x36 + m14*x37 + m21*x38 + m28*x39 + m35*x40 + m42*x41 + m49*x42; 626 627 x[42] -= m1*x43 + m8*x44 + m15*x45 + m22*x46 + m29*x47 + m36*x48 + m43*x49; 628 x[43] -= m2*x43 + m9*x44 + m16*x45 + m23*x46 + m30*x47 + m37*x48 + m44*x49; 629 x[44] -= m3*x43 + m10*x44 + m17*x45 + m24*x46 + m31*x47 + m38*x48 + m45*x49; 630 x[45] -= m4*x43 + m11*x44 + m18*x45 + m25*x46 + m32*x47 + m39*x48 + m46*x49; 631 x[46] -= m5*x43 + m12*x44 + m19*x45 + m26*x46 + m33*x47 + m40*x48 + m47*x49; 632 x[47] -= m6*x43 + m13*x44 + m20*x45 + m27*x46 + m34*x47 + m41*x48 + m48*x49; 633 x[48] -= m7*x43 + m14*x44 + m21*x45 + m28*x46 + m35*x47 + m42*x48 + m49*x49; 634 pv += 49; 635 } 636 ierr = PetscLogFlops(686.0*nz+637.0);CHKERRQ(ierr); 637 } 638 row = *ajtmp++; 639 } 640 /* finished row so stick it into b->a */ 641 pv = ba + 49*bi[i]; 642 pj = bj + bi[i]; 643 nz = bi[i+1] - bi[i]; 644 for (j=0; j<nz; j++) { 645 x = rtmp+49*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] = x[36]; pv[37] = x[37]; pv[38] = x[38]; pv[39] = x[39]; 656 pv[40] = x[40]; pv[41] = x[41]; pv[42] = x[42]; pv[43] = x[43]; 657 pv[44] = x[44]; pv[45] = x[45]; pv[46] = x[46]; pv[47] = x[47]; 658 pv[48] = x[48]; 659 pv += 49; 660 } 661 /* invert diagonal block */ 662 w = ba + 49*diag_offset[i]; 663 ierr = PetscKernel_A_gets_inverse_A_7(w,shift);CHKERRQ(ierr); 664 } 665 666 ierr = PetscFree(rtmp);CHKERRQ(ierr); 667 C->ops->solve = MatSolve_SeqBAIJ_7_NaturalOrdering_inplace; 668 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_7_NaturalOrdering_inplace; 669 C->assembled = PETSC_TRUE; 670 ierr = PetscLogFlops(1.333333333333*7*7*7*b->mbs);CHKERRQ(ierr); /* from inverting diagonal blocks */ 671 PetscFunctionReturn(0); 672 } 673 674 #undef __FUNCT__ 675 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering" 676 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering(Mat B,Mat A,const MatFactorInfo *info) 677 { 678 Mat C=B; 679 Mat_SeqBAIJ *a=(Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ *)C->data; 680 PetscErrorCode ierr; 681 PetscInt i,j,k,nz,nzL,row; 682 const PetscInt n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j; 683 const PetscInt *ajtmp,*bjtmp,*bdiag=b->diag,*pj,bs2=a->bs2; 684 MatScalar *rtmp,*pc,*mwork,*v,*pv,*aa=a->a; 685 PetscInt flg; 686 PetscReal shift = info->shiftamount; 687 688 PetscFunctionBegin; 689 /* generate work space needed by the factorization */ 690 ierr = PetscMalloc2(bs2*n,MatScalar,&rtmp,bs2,MatScalar,&mwork);CHKERRQ(ierr); 691 ierr = PetscMemzero(rtmp,bs2*n*sizeof(MatScalar));CHKERRQ(ierr); 692 693 for (i=0; i<n; i++) { 694 /* zero rtmp */ 695 /* L part */ 696 nz = bi[i+1] - bi[i]; 697 bjtmp = bj + bi[i]; 698 for (j=0; j<nz; j++) { 699 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 700 } 701 702 /* U part */ 703 nz = bdiag[i] - bdiag[i+1]; 704 bjtmp = bj + bdiag[i+1]+1; 705 for (j=0; j<nz; j++) { 706 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 707 } 708 709 /* load in initial (unfactored row) */ 710 nz = ai[i+1] - ai[i]; 711 ajtmp = aj + ai[i]; 712 v = aa + bs2*ai[i]; 713 for (j=0; j<nz; j++) { 714 ierr = PetscMemcpy(rtmp+bs2*ajtmp[j],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr); 715 } 716 717 /* elimination */ 718 bjtmp = bj + bi[i]; 719 nzL = bi[i+1] - bi[i]; 720 for (k=0;k < nzL;k++) { 721 row = bjtmp[k]; 722 pc = rtmp + bs2*row; 723 for (flg=0,j=0; j<bs2; j++) { 724 if (pc[j]!=0.0) { 725 flg = 1; 726 break; 727 } 728 } 729 if (flg) { 730 pv = b->a + bs2*bdiag[row]; 731 /* PetscKernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 732 ierr = PetscKernel_A_gets_A_times_B_7(pc,pv,mwork);CHKERRQ(ierr); 733 734 pj = b->j + bdiag[row+1]+1; /* begining of U(row,:) */ 735 pv = b->a + bs2*(bdiag[row+1]+1); 736 nz = bdiag[row] - bdiag[row+1] - 1; /* num of entries inU(row,:), excluding diag */ 737 for (j=0; j<nz; j++) { 738 /* PetscKernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 739 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 740 v = rtmp + bs2*pj[j]; 741 ierr = PetscKernel_A_gets_A_minus_B_times_C_7(v,pc,pv);CHKERRQ(ierr); 742 pv += bs2; 743 } 744 ierr = PetscLogFlops(686*nz+637);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 745 } 746 } 747 748 /* finished row so stick it into b->a */ 749 /* L part */ 750 pv = b->a + bs2*bi[i] ; 751 pj = b->j + bi[i] ; 752 nz = bi[i+1] - bi[i]; 753 for (j=0; j<nz; j++) { 754 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 755 } 756 757 /* Mark diagonal and invert diagonal for simplier triangular solves */ 758 pv = b->a + bs2*bdiag[i]; 759 pj = b->j + bdiag[i]; 760 ierr = PetscMemcpy(pv,rtmp+bs2*pj[0],bs2*sizeof(MatScalar));CHKERRQ(ierr); 761 /* ierr = PetscKernel_A_gets_inverse_A(bs,pv,v_pivots,v_work);CHKERRQ(ierr); */ 762 ierr = PetscKernel_A_gets_inverse_A_7(pv,shift);CHKERRQ(ierr); 763 764 /* U part */ 765 pv = b->a + bs2*(bdiag[i+1]+1); 766 pj = b->j + bdiag[i+1]+1; 767 nz = bdiag[i] - bdiag[i+1] - 1; 768 for (j=0; j<nz; j++) { 769 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 770 } 771 } 772 ierr = PetscFree2(rtmp,mwork);CHKERRQ(ierr); 773 C->ops->solve = MatSolve_SeqBAIJ_7_NaturalOrdering; 774 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_7_NaturalOrdering; 775 C->assembled = PETSC_TRUE; 776 ierr = PetscLogFlops(1.333333333333*7*7*7*n);CHKERRQ(ierr); /* from inverting diagonal blocks */ 777 PetscFunctionReturn(0); 778 } 779 780