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 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 PetscBool allowzeropivot,zeropivotdetected; 34 35 PetscFunctionBegin; 36 allowzeropivot = PetscNot(A->erroriffailure); 37 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 38 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 39 ierr = PetscMalloc1(49*(n+1),&rtmp);CHKERRQ(ierr); 40 41 for (i=0; i<n; i++) { 42 nz = bi[i+1] - bi[i]; 43 ajtmp = bj + bi[i]; 44 for (j=0; j<nz; j++) { 45 x = rtmp+49*ajtmp[j]; 46 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 47 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 48 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0; 49 x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0; 50 x[34] = x[35] = x[36] = x[37] = x[38] = x[39] = x[40] = x[41] = 0.0; 51 x[42] = x[43] = x[44] = x[45] = x[46] = x[47] = x[48] = 0.0; 52 } 53 /* load in initial (unfactored row) */ 54 idx = r[i]; 55 nz = ai[idx+1] - ai[idx]; 56 ajtmpold = aj + ai[idx]; 57 v = aa + 49*ai[idx]; 58 for (j=0; j<nz; j++) { 59 x = rtmp+49*ic[ajtmpold[j]]; 60 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 61 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 62 x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 63 x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 64 x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 65 x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 66 x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 67 x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 68 x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 69 x[36] = v[36]; x[37] = v[37]; x[38] = v[38]; x[39] = v[39]; 70 x[40] = v[40]; x[41] = v[41]; x[42] = v[42]; x[43] = v[43]; 71 x[44] = v[44]; x[45] = v[45]; x[46] = v[46]; x[47] = v[47]; 72 x[48] = v[48]; 73 v += 49; 74 } 75 row = *ajtmp++; 76 while (row < i) { 77 pc = rtmp + 49*row; 78 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 79 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 80 p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 81 p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 82 p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 83 p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 84 p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 85 p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 86 p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 87 p37 = pc[36]; p38 = pc[37]; p39 = pc[38]; p40 = pc[39]; 88 p41 = pc[40]; p42 = pc[41]; p43 = pc[42]; p44 = pc[43]; 89 p45 = pc[44]; p46 = pc[45]; p47 = pc[46]; p48 = pc[47]; 90 p49 = pc[48]; 91 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 92 p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 93 p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 94 p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 95 p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 96 p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 97 p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 98 p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 99 p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0 || 100 p37 != 0.0 || p38 != 0.0 || p39 != 0.0 || p40 != 0.0 || 101 p41 != 0.0 || p42 != 0.0 || p43 != 0.0 || p44 != 0.0 || 102 p45 != 0.0 || p46 != 0.0 || p47 != 0.0 || p48 != 0.0 || 103 p49 != 0.0) { 104 pv = ba + 49*diag_offset[row]; 105 pj = bj + diag_offset[row] + 1; 106 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 107 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 108 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 109 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 110 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 111 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 112 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 113 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 114 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 115 x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 116 x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 117 x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 118 x49 = pv[48]; 119 pc[0] = m1 = p1*x1 + p8*x2 + p15*x3 + p22*x4 + p29*x5 + p36*x6 + p43*x7; 120 pc[1] = m2 = p2*x1 + p9*x2 + p16*x3 + p23*x4 + p30*x5 + p37*x6 + p44*x7; 121 pc[2] = m3 = p3*x1 + p10*x2 + p17*x3 + p24*x4 + p31*x5 + p38*x6 + p45*x7; 122 pc[3] = m4 = p4*x1 + p11*x2 + p18*x3 + p25*x4 + p32*x5 + p39*x6 + p46*x7; 123 pc[4] = m5 = p5*x1 + p12*x2 + p19*x3 + p26*x4 + p33*x5 + p40*x6 + p47*x7; 124 pc[5] = m6 = p6*x1 + p13*x2 + p20*x3 + p27*x4 + p34*x5 + p41*x6 + p48*x7; 125 pc[6] = m7 = p7*x1 + p14*x2 + p21*x3 + p28*x4 + p35*x5 + p42*x6 + p49*x7; 126 127 pc[7] = m8 = p1*x8 + p8*x9 + p15*x10 + p22*x11 + p29*x12 + p36*x13 + p43*x14; 128 pc[8] = m9 = p2*x8 + p9*x9 + p16*x10 + p23*x11 + p30*x12 + p37*x13 + p44*x14; 129 pc[9] = m10 = p3*x8 + p10*x9 + p17*x10 + p24*x11 + p31*x12 + p38*x13 + p45*x14; 130 pc[10] = m11 = p4*x8 + p11*x9 + p18*x10 + p25*x11 + p32*x12 + p39*x13 + p46*x14; 131 pc[11] = m12 = p5*x8 + p12*x9 + p19*x10 + p26*x11 + p33*x12 + p40*x13 + p47*x14; 132 pc[12] = m13 = p6*x8 + p13*x9 + p20*x10 + p27*x11 + p34*x12 + p41*x13 + p48*x14; 133 pc[13] = m14 = p7*x8 + p14*x9 + p21*x10 + p28*x11 + p35*x12 + p42*x13 + p49*x14; 134 135 pc[14] = m15 = p1*x15 + p8*x16 + p15*x17 + p22*x18 + p29*x19 + p36*x20 + p43*x21; 136 pc[15] = m16 = p2*x15 + p9*x16 + p16*x17 + p23*x18 + p30*x19 + p37*x20 + p44*x21; 137 pc[16] = m17 = p3*x15 + p10*x16 + p17*x17 + p24*x18 + p31*x19 + p38*x20 + p45*x21; 138 pc[17] = m18 = p4*x15 + p11*x16 + p18*x17 + p25*x18 + p32*x19 + p39*x20 + p46*x21; 139 pc[18] = m19 = p5*x15 + p12*x16 + p19*x17 + p26*x18 + p33*x19 + p40*x20 + p47*x21; 140 pc[19] = m20 = p6*x15 + p13*x16 + p20*x17 + p27*x18 + p34*x19 + p41*x20 + p48*x21; 141 pc[20] = m21 = p7*x15 + p14*x16 + p21*x17 + p28*x18 + p35*x19 + p42*x20 + p49*x21; 142 143 pc[21] = m22 = p1*x22 + p8*x23 + p15*x24 + p22*x25 + p29*x26 + p36*x27 + p43*x28; 144 pc[22] = m23 = p2*x22 + p9*x23 + p16*x24 + p23*x25 + p30*x26 + p37*x27 + p44*x28; 145 pc[23] = m24 = p3*x22 + p10*x23 + p17*x24 + p24*x25 + p31*x26 + p38*x27 + p45*x28; 146 pc[24] = m25 = p4*x22 + p11*x23 + p18*x24 + p25*x25 + p32*x26 + p39*x27 + p46*x28; 147 pc[25] = m26 = p5*x22 + p12*x23 + p19*x24 + p26*x25 + p33*x26 + p40*x27 + p47*x28; 148 pc[26] = m27 = p6*x22 + p13*x23 + p20*x24 + p27*x25 + p34*x26 + p41*x27 + p48*x28; 149 pc[27] = m28 = p7*x22 + p14*x23 + p21*x24 + p28*x25 + p35*x26 + p42*x27 + p49*x28; 150 151 pc[28] = m29 = p1*x29 + p8*x30 + p15*x31 + p22*x32 + p29*x33 + p36*x34 + p43*x35; 152 pc[29] = m30 = p2*x29 + p9*x30 + p16*x31 + p23*x32 + p30*x33 + p37*x34 + p44*x35; 153 pc[30] = m31 = p3*x29 + p10*x30 + p17*x31 + p24*x32 + p31*x33 + p38*x34 + p45*x35; 154 pc[31] = m32 = p4*x29 + p11*x30 + p18*x31 + p25*x32 + p32*x33 + p39*x34 + p46*x35; 155 pc[32] = m33 = p5*x29 + p12*x30 + p19*x31 + p26*x32 + p33*x33 + p40*x34 + p47*x35; 156 pc[33] = m34 = p6*x29 + p13*x30 + p20*x31 + p27*x32 + p34*x33 + p41*x34 + p48*x35; 157 pc[34] = m35 = p7*x29 + p14*x30 + p21*x31 + p28*x32 + p35*x33 + p42*x34 + p49*x35; 158 159 pc[35] = m36 = p1*x36 + p8*x37 + p15*x38 + p22*x39 + p29*x40 + p36*x41 + p43*x42; 160 pc[36] = m37 = p2*x36 + p9*x37 + p16*x38 + p23*x39 + p30*x40 + p37*x41 + p44*x42; 161 pc[37] = m38 = p3*x36 + p10*x37 + p17*x38 + p24*x39 + p31*x40 + p38*x41 + p45*x42; 162 pc[38] = m39 = p4*x36 + p11*x37 + p18*x38 + p25*x39 + p32*x40 + p39*x41 + p46*x42; 163 pc[39] = m40 = p5*x36 + p12*x37 + p19*x38 + p26*x39 + p33*x40 + p40*x41 + p47*x42; 164 pc[40] = m41 = p6*x36 + p13*x37 + p20*x38 + p27*x39 + p34*x40 + p41*x41 + p48*x42; 165 pc[41] = m42 = p7*x36 + p14*x37 + p21*x38 + p28*x39 + p35*x40 + p42*x41 + p49*x42; 166 167 pc[42] = m43 = p1*x43 + p8*x44 + p15*x45 + p22*x46 + p29*x47 + p36*x48 + p43*x49; 168 pc[43] = m44 = p2*x43 + p9*x44 + p16*x45 + p23*x46 + p30*x47 + p37*x48 + p44*x49; 169 pc[44] = m45 = p3*x43 + p10*x44 + p17*x45 + p24*x46 + p31*x47 + p38*x48 + p45*x49; 170 pc[45] = m46 = p4*x43 + p11*x44 + p18*x45 + p25*x46 + p32*x47 + p39*x48 + p46*x49; 171 pc[46] = m47 = p5*x43 + p12*x44 + p19*x45 + p26*x46 + p33*x47 + p40*x48 + p47*x49; 172 pc[47] = m48 = p6*x43 + p13*x44 + p20*x45 + p27*x46 + p34*x47 + p41*x48 + p48*x49; 173 pc[48] = m49 = p7*x43 + p14*x44 + p21*x45 + p28*x46 + p35*x47 + p42*x48 + p49*x49; 174 175 nz = bi[row+1] - diag_offset[row] - 1; 176 pv += 49; 177 for (j=0; j<nz; j++) { 178 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 179 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 180 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 181 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 182 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 183 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 184 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 185 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 186 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 187 x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 188 x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 189 x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 190 x49 = pv[48]; 191 x = rtmp + 49*pj[j]; 192 x[0] -= m1*x1 + m8*x2 + m15*x3 + m22*x4 + m29*x5 + m36*x6 + m43*x7; 193 x[1] -= m2*x1 + m9*x2 + m16*x3 + m23*x4 + m30*x5 + m37*x6 + m44*x7; 194 x[2] -= m3*x1 + m10*x2 + m17*x3 + m24*x4 + m31*x5 + m38*x6 + m45*x7; 195 x[3] -= m4*x1 + m11*x2 + m18*x3 + m25*x4 + m32*x5 + m39*x6 + m46*x7; 196 x[4] -= m5*x1 + m12*x2 + m19*x3 + m26*x4 + m33*x5 + m40*x6 + m47*x7; 197 x[5] -= m6*x1 + m13*x2 + m20*x3 + m27*x4 + m34*x5 + m41*x6 + m48*x7; 198 x[6] -= m7*x1 + m14*x2 + m21*x3 + m28*x4 + m35*x5 + m42*x6 + m49*x7; 199 200 x[7] -= m1*x8 + m8*x9 + m15*x10 + m22*x11 + m29*x12 + m36*x13 + m43*x14; 201 x[8] -= m2*x8 + m9*x9 + m16*x10 + m23*x11 + m30*x12 + m37*x13 + m44*x14; 202 x[9] -= m3*x8 + m10*x9 + m17*x10 + m24*x11 + m31*x12 + m38*x13 + m45*x14; 203 x[10] -= m4*x8 + m11*x9 + m18*x10 + m25*x11 + m32*x12 + m39*x13 + m46*x14; 204 x[11] -= m5*x8 + m12*x9 + m19*x10 + m26*x11 + m33*x12 + m40*x13 + m47*x14; 205 x[12] -= m6*x8 + m13*x9 + m20*x10 + m27*x11 + m34*x12 + m41*x13 + m48*x14; 206 x[13] -= m7*x8 + m14*x9 + m21*x10 + m28*x11 + m35*x12 + m42*x13 + m49*x14; 207 208 x[14] -= m1*x15 + m8*x16 + m15*x17 + m22*x18 + m29*x19 + m36*x20 + m43*x21; 209 x[15] -= m2*x15 + m9*x16 + m16*x17 + m23*x18 + m30*x19 + m37*x20 + m44*x21; 210 x[16] -= m3*x15 + m10*x16 + m17*x17 + m24*x18 + m31*x19 + m38*x20 + m45*x21; 211 x[17] -= m4*x15 + m11*x16 + m18*x17 + m25*x18 + m32*x19 + m39*x20 + m46*x21; 212 x[18] -= m5*x15 + m12*x16 + m19*x17 + m26*x18 + m33*x19 + m40*x20 + m47*x21; 213 x[19] -= m6*x15 + m13*x16 + m20*x17 + m27*x18 + m34*x19 + m41*x20 + m48*x21; 214 x[20] -= m7*x15 + m14*x16 + m21*x17 + m28*x18 + m35*x19 + m42*x20 + m49*x21; 215 216 x[21] -= m1*x22 + m8*x23 + m15*x24 + m22*x25 + m29*x26 + m36*x27 + m43*x28; 217 x[22] -= m2*x22 + m9*x23 + m16*x24 + m23*x25 + m30*x26 + m37*x27 + m44*x28; 218 x[23] -= m3*x22 + m10*x23 + m17*x24 + m24*x25 + m31*x26 + m38*x27 + m45*x28; 219 x[24] -= m4*x22 + m11*x23 + m18*x24 + m25*x25 + m32*x26 + m39*x27 + m46*x28; 220 x[25] -= m5*x22 + m12*x23 + m19*x24 + m26*x25 + m33*x26 + m40*x27 + m47*x28; 221 x[26] -= m6*x22 + m13*x23 + m20*x24 + m27*x25 + m34*x26 + m41*x27 + m48*x28; 222 x[27] -= m7*x22 + m14*x23 + m21*x24 + m28*x25 + m35*x26 + m42*x27 + m49*x28; 223 224 x[28] -= m1*x29 + m8*x30 + m15*x31 + m22*x32 + m29*x33 + m36*x34 + m43*x35; 225 x[29] -= m2*x29 + m9*x30 + m16*x31 + m23*x32 + m30*x33 + m37*x34 + m44*x35; 226 x[30] -= m3*x29 + m10*x30 + m17*x31 + m24*x32 + m31*x33 + m38*x34 + m45*x35; 227 x[31] -= m4*x29 + m11*x30 + m18*x31 + m25*x32 + m32*x33 + m39*x34 + m46*x35; 228 x[32] -= m5*x29 + m12*x30 + m19*x31 + m26*x32 + m33*x33 + m40*x34 + m47*x35; 229 x[33] -= m6*x29 + m13*x30 + m20*x31 + m27*x32 + m34*x33 + m41*x34 + m48*x35; 230 x[34] -= m7*x29 + m14*x30 + m21*x31 + m28*x32 + m35*x33 + m42*x34 + m49*x35; 231 232 x[35] -= m1*x36 + m8*x37 + m15*x38 + m22*x39 + m29*x40 + m36*x41 + m43*x42; 233 x[36] -= m2*x36 + m9*x37 + m16*x38 + m23*x39 + m30*x40 + m37*x41 + m44*x42; 234 x[37] -= m3*x36 + m10*x37 + m17*x38 + m24*x39 + m31*x40 + m38*x41 + m45*x42; 235 x[38] -= m4*x36 + m11*x37 + m18*x38 + m25*x39 + m32*x40 + m39*x41 + m46*x42; 236 x[39] -= m5*x36 + m12*x37 + m19*x38 + m26*x39 + m33*x40 + m40*x41 + m47*x42; 237 x[40] -= m6*x36 + m13*x37 + m20*x38 + m27*x39 + m34*x40 + m41*x41 + m48*x42; 238 x[41] -= m7*x36 + m14*x37 + m21*x38 + m28*x39 + m35*x40 + m42*x41 + m49*x42; 239 240 x[42] -= m1*x43 + m8*x44 + m15*x45 + m22*x46 + m29*x47 + m36*x48 + m43*x49; 241 x[43] -= m2*x43 + m9*x44 + m16*x45 + m23*x46 + m30*x47 + m37*x48 + m44*x49; 242 x[44] -= m3*x43 + m10*x44 + m17*x45 + m24*x46 + m31*x47 + m38*x48 + m45*x49; 243 x[45] -= m4*x43 + m11*x44 + m18*x45 + m25*x46 + m32*x47 + m39*x48 + m46*x49; 244 x[46] -= m5*x43 + m12*x44 + m19*x45 + m26*x46 + m33*x47 + m40*x48 + m47*x49; 245 x[47] -= m6*x43 + m13*x44 + m20*x45 + m27*x46 + m34*x47 + m41*x48 + m48*x49; 246 x[48] -= m7*x43 + m14*x44 + m21*x45 + m28*x46 + m35*x47 + m42*x48 + m49*x49; 247 pv += 49; 248 } 249 ierr = PetscLogFlops(686.0*nz+637.0);CHKERRQ(ierr); 250 } 251 row = *ajtmp++; 252 } 253 /* finished row so stick it into b->a */ 254 pv = ba + 49*bi[i]; 255 pj = bj + bi[i]; 256 nz = bi[i+1] - bi[i]; 257 for (j=0; j<nz; j++) { 258 x = rtmp+49*pj[j]; 259 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 260 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 261 pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 262 pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 263 pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 264 pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 265 pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 266 pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 267 pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 268 pv[36] = x[36]; pv[37] = x[37]; pv[38] = x[38]; pv[39] = x[39]; 269 pv[40] = x[40]; pv[41] = x[41]; pv[42] = x[42]; pv[43] = x[43]; 270 pv[44] = x[44]; pv[45] = x[45]; pv[46] = x[46]; pv[47] = x[47]; 271 pv[48] = x[48]; 272 pv += 49; 273 } 274 /* invert diagonal block */ 275 w = ba + 49*diag_offset[i]; 276 ierr = PetscKernel_A_gets_inverse_A_7(w,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr); 277 if (zeropivotdetected) C->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 278 } 279 280 ierr = PetscFree(rtmp);CHKERRQ(ierr); 281 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 282 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 283 284 C->ops->solve = MatSolve_SeqBAIJ_7_inplace; 285 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_7_inplace; 286 C->assembled = PETSC_TRUE; 287 288 ierr = PetscLogFlops(1.333333333333*7*7*7*b->mbs);CHKERRQ(ierr); /* from inverting diagonal blocks */ 289 PetscFunctionReturn(0); 290 } 291 292 293 #undef __FUNCT__ 294 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_7" 295 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7(Mat B,Mat A,const MatFactorInfo *info) 296 { 297 Mat C =B; 298 Mat_SeqBAIJ *a =(Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ*)C->data; 299 IS isrow = b->row,isicol = b->icol; 300 PetscErrorCode ierr; 301 const PetscInt *r,*ic; 302 PetscInt i,j,k,nz,nzL,row; 303 const PetscInt n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j; 304 const PetscInt *ajtmp,*bjtmp,*bdiag=b->diag,*pj,bs2=a->bs2; 305 MatScalar *rtmp,*pc,*mwork,*v,*pv,*aa=a->a; 306 PetscInt flg; 307 PetscReal shift = info->shiftamount; 308 PetscBool allowzeropivot,zeropivotdetected; 309 310 PetscFunctionBegin; 311 allowzeropivot = PetscNot(A->erroriffailure); 312 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 313 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 314 315 /* generate work space needed by the factorization */ 316 ierr = PetscMalloc2(bs2*n,&rtmp,bs2,&mwork);CHKERRQ(ierr); 317 ierr = PetscMemzero(rtmp,bs2*n*sizeof(MatScalar));CHKERRQ(ierr); 318 319 for (i=0; i<n; i++) { 320 /* zero rtmp */ 321 /* L part */ 322 nz = bi[i+1] - bi[i]; 323 bjtmp = bj + bi[i]; 324 for (j=0; j<nz; j++) { 325 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 326 } 327 328 /* U part */ 329 nz = bdiag[i] - bdiag[i+1]; 330 bjtmp = bj + bdiag[i+1]+1; 331 for (j=0; j<nz; j++) { 332 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 333 } 334 335 /* load in initial (unfactored row) */ 336 nz = ai[r[i]+1] - ai[r[i]]; 337 ajtmp = aj + ai[r[i]]; 338 v = aa + bs2*ai[r[i]]; 339 for (j=0; j<nz; j++) { 340 ierr = PetscMemcpy(rtmp+bs2*ic[ajtmp[j]],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr); 341 } 342 343 /* elimination */ 344 bjtmp = bj + bi[i]; 345 nzL = bi[i+1] - bi[i]; 346 for (k=0; k < nzL; k++) { 347 row = bjtmp[k]; 348 pc = rtmp + bs2*row; 349 for (flg=0,j=0; j<bs2; j++) { 350 if (pc[j]!=0.0) { 351 flg = 1; 352 break; 353 } 354 } 355 if (flg) { 356 pv = b->a + bs2*bdiag[row]; 357 /* PetscKernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 358 ierr = PetscKernel_A_gets_A_times_B_7(pc,pv,mwork);CHKERRQ(ierr); 359 360 pj = b->j + bdiag[row+1]+1; /* begining of U(row,:) */ 361 pv = b->a + bs2*(bdiag[row+1]+1); 362 nz = bdiag[row] - bdiag[row+1] - 1; /* num of entries inU(row,:), excluding diag */ 363 for (j=0; j<nz; j++) { 364 /* PetscKernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 365 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 366 v = rtmp + bs2*pj[j]; 367 ierr = PetscKernel_A_gets_A_minus_B_times_C_7(v,pc,pv);CHKERRQ(ierr); 368 pv += bs2; 369 } 370 ierr = PetscLogFlops(686*nz+637);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 371 } 372 } 373 374 /* finished row so stick it into b->a */ 375 /* L part */ 376 pv = b->a + bs2*bi[i]; 377 pj = b->j + bi[i]; 378 nz = bi[i+1] - bi[i]; 379 for (j=0; j<nz; j++) { 380 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 381 } 382 383 /* Mark diagonal and invert diagonal for simplier triangular solves */ 384 pv = b->a + bs2*bdiag[i]; 385 pj = b->j + bdiag[i]; 386 ierr = PetscMemcpy(pv,rtmp+bs2*pj[0],bs2*sizeof(MatScalar));CHKERRQ(ierr); 387 ierr = PetscKernel_A_gets_inverse_A_7(pv,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr); 388 if (zeropivotdetected) C->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 389 390 /* U part */ 391 pv = b->a + bs2*(bdiag[i+1]+1); 392 pj = b->j + bdiag[i+1]+1; 393 nz = bdiag[i] - bdiag[i+1] - 1; 394 for (j=0; j<nz; j++) { 395 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 396 } 397 } 398 399 ierr = PetscFree2(rtmp,mwork);CHKERRQ(ierr); 400 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 401 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 402 403 C->ops->solve = MatSolve_SeqBAIJ_7; 404 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_7; 405 C->assembled = PETSC_TRUE; 406 407 ierr = PetscLogFlops(1.333333333333*7*7*7*n);CHKERRQ(ierr); /* from inverting diagonal blocks */ 408 PetscFunctionReturn(0); 409 } 410 411 #undef __FUNCT__ 412 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering_inplace" 413 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering_inplace(Mat C,Mat A,const MatFactorInfo *info) 414 { 415 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ*)C->data; 416 PetscErrorCode ierr; 417 PetscInt i,j,n = a->mbs,*bi = b->i,*bj = b->j; 418 PetscInt *ajtmpold,*ajtmp,nz,row; 419 PetscInt *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 420 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 421 MatScalar x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15; 422 MatScalar x16,x17,x18,x19,x20,x21,x22,x23,x24,x25; 423 MatScalar p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15; 424 MatScalar p16,p17,p18,p19,p20,p21,p22,p23,p24,p25; 425 MatScalar m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15; 426 MatScalar m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 427 MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 428 MatScalar p37,p38,p39,p40,p41,p42,p43,p44,p45,p46,p47,p48,p49; 429 MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 430 MatScalar x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49; 431 MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 432 MatScalar m37,m38,m39,m40,m41,m42,m43,m44,m45,m46,m47,m48,m49; 433 MatScalar *ba = b->a,*aa = a->a; 434 PetscReal shift = info->shiftamount; 435 PetscBool allowzeropivot,zeropivotdetected; 436 437 PetscFunctionBegin; 438 allowzeropivot = PetscNot(A->erroriffailure); 439 ierr = PetscMalloc1(49*(n+1),&rtmp);CHKERRQ(ierr); 440 for (i=0; i<n; i++) { 441 nz = bi[i+1] - bi[i]; 442 ajtmp = bj + bi[i]; 443 for (j=0; j<nz; j++) { 444 x = rtmp+49*ajtmp[j]; 445 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 446 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 447 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0; 448 x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0; 449 x[34] = x[35] = x[36] = x[37] = x[38] = x[39] = x[40] = x[41] = 0.0; 450 x[42] = x[43] = x[44] = x[45] = x[46] = x[47] = x[48] = 0.0; 451 } 452 /* load in initial (unfactored row) */ 453 nz = ai[i+1] - ai[i]; 454 ajtmpold = aj + ai[i]; 455 v = aa + 49*ai[i]; 456 for (j=0; j<nz; j++) { 457 x = rtmp+49*ajtmpold[j]; 458 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 459 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 460 x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 461 x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 462 x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 463 x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 464 x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 465 x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 466 x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 467 x[36] = v[36]; x[37] = v[37]; x[38] = v[38]; x[39] = v[39]; 468 x[40] = v[40]; x[41] = v[41]; x[42] = v[42]; x[43] = v[43]; 469 x[44] = v[44]; x[45] = v[45]; x[46] = v[46]; x[47] = v[47]; 470 x[48] = v[48]; 471 v += 49; 472 } 473 row = *ajtmp++; 474 while (row < i) { 475 pc = rtmp + 49*row; 476 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 477 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 478 p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 479 p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 480 p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 481 p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 482 p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 483 p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 484 p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 485 p37 = pc[36]; p38 = pc[37]; p39 = pc[38]; p40 = pc[39]; 486 p41 = pc[40]; p42 = pc[41]; p43 = pc[42]; p44 = pc[43]; 487 p45 = pc[44]; p46 = pc[45]; p47 = pc[46]; p48 = pc[47]; 488 p49 = pc[48]; 489 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 490 p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 491 p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 492 p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 493 p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 494 p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 495 p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 496 p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 497 p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0 || 498 p37 != 0.0 || p38 != 0.0 || p39 != 0.0 || p40 != 0.0 || 499 p41 != 0.0 || p42 != 0.0 || p43 != 0.0 || p44 != 0.0 || 500 p45 != 0.0 || p46 != 0.0 || p47 != 0.0 || p48 != 0.0 || 501 p49 != 0.0) { 502 pv = ba + 49*diag_offset[row]; 503 pj = bj + diag_offset[row] + 1; 504 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 505 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 506 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 507 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 508 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 509 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 510 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 511 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 512 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 513 x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 514 x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 515 x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 516 x49 = pv[48]; 517 pc[0] = m1 = p1*x1 + p8*x2 + p15*x3 + p22*x4 + p29*x5 + p36*x6 + p43*x7; 518 pc[1] = m2 = p2*x1 + p9*x2 + p16*x3 + p23*x4 + p30*x5 + p37*x6 + p44*x7; 519 pc[2] = m3 = p3*x1 + p10*x2 + p17*x3 + p24*x4 + p31*x5 + p38*x6 + p45*x7; 520 pc[3] = m4 = p4*x1 + p11*x2 + p18*x3 + p25*x4 + p32*x5 + p39*x6 + p46*x7; 521 pc[4] = m5 = p5*x1 + p12*x2 + p19*x3 + p26*x4 + p33*x5 + p40*x6 + p47*x7; 522 pc[5] = m6 = p6*x1 + p13*x2 + p20*x3 + p27*x4 + p34*x5 + p41*x6 + p48*x7; 523 pc[6] = m7 = p7*x1 + p14*x2 + p21*x3 + p28*x4 + p35*x5 + p42*x6 + p49*x7; 524 525 pc[7] = m8 = p1*x8 + p8*x9 + p15*x10 + p22*x11 + p29*x12 + p36*x13 + p43*x14; 526 pc[8] = m9 = p2*x8 + p9*x9 + p16*x10 + p23*x11 + p30*x12 + p37*x13 + p44*x14; 527 pc[9] = m10 = p3*x8 + p10*x9 + p17*x10 + p24*x11 + p31*x12 + p38*x13 + p45*x14; 528 pc[10] = m11 = p4*x8 + p11*x9 + p18*x10 + p25*x11 + p32*x12 + p39*x13 + p46*x14; 529 pc[11] = m12 = p5*x8 + p12*x9 + p19*x10 + p26*x11 + p33*x12 + p40*x13 + p47*x14; 530 pc[12] = m13 = p6*x8 + p13*x9 + p20*x10 + p27*x11 + p34*x12 + p41*x13 + p48*x14; 531 pc[13] = m14 = p7*x8 + p14*x9 + p21*x10 + p28*x11 + p35*x12 + p42*x13 + p49*x14; 532 533 pc[14] = m15 = p1*x15 + p8*x16 + p15*x17 + p22*x18 + p29*x19 + p36*x20 + p43*x21; 534 pc[15] = m16 = p2*x15 + p9*x16 + p16*x17 + p23*x18 + p30*x19 + p37*x20 + p44*x21; 535 pc[16] = m17 = p3*x15 + p10*x16 + p17*x17 + p24*x18 + p31*x19 + p38*x20 + p45*x21; 536 pc[17] = m18 = p4*x15 + p11*x16 + p18*x17 + p25*x18 + p32*x19 + p39*x20 + p46*x21; 537 pc[18] = m19 = p5*x15 + p12*x16 + p19*x17 + p26*x18 + p33*x19 + p40*x20 + p47*x21; 538 pc[19] = m20 = p6*x15 + p13*x16 + p20*x17 + p27*x18 + p34*x19 + p41*x20 + p48*x21; 539 pc[20] = m21 = p7*x15 + p14*x16 + p21*x17 + p28*x18 + p35*x19 + p42*x20 + p49*x21; 540 541 pc[21] = m22 = p1*x22 + p8*x23 + p15*x24 + p22*x25 + p29*x26 + p36*x27 + p43*x28; 542 pc[22] = m23 = p2*x22 + p9*x23 + p16*x24 + p23*x25 + p30*x26 + p37*x27 + p44*x28; 543 pc[23] = m24 = p3*x22 + p10*x23 + p17*x24 + p24*x25 + p31*x26 + p38*x27 + p45*x28; 544 pc[24] = m25 = p4*x22 + p11*x23 + p18*x24 + p25*x25 + p32*x26 + p39*x27 + p46*x28; 545 pc[25] = m26 = p5*x22 + p12*x23 + p19*x24 + p26*x25 + p33*x26 + p40*x27 + p47*x28; 546 pc[26] = m27 = p6*x22 + p13*x23 + p20*x24 + p27*x25 + p34*x26 + p41*x27 + p48*x28; 547 pc[27] = m28 = p7*x22 + p14*x23 + p21*x24 + p28*x25 + p35*x26 + p42*x27 + p49*x28; 548 549 pc[28] = m29 = p1*x29 + p8*x30 + p15*x31 + p22*x32 + p29*x33 + p36*x34 + p43*x35; 550 pc[29] = m30 = p2*x29 + p9*x30 + p16*x31 + p23*x32 + p30*x33 + p37*x34 + p44*x35; 551 pc[30] = m31 = p3*x29 + p10*x30 + p17*x31 + p24*x32 + p31*x33 + p38*x34 + p45*x35; 552 pc[31] = m32 = p4*x29 + p11*x30 + p18*x31 + p25*x32 + p32*x33 + p39*x34 + p46*x35; 553 pc[32] = m33 = p5*x29 + p12*x30 + p19*x31 + p26*x32 + p33*x33 + p40*x34 + p47*x35; 554 pc[33] = m34 = p6*x29 + p13*x30 + p20*x31 + p27*x32 + p34*x33 + p41*x34 + p48*x35; 555 pc[34] = m35 = p7*x29 + p14*x30 + p21*x31 + p28*x32 + p35*x33 + p42*x34 + p49*x35; 556 557 pc[35] = m36 = p1*x36 + p8*x37 + p15*x38 + p22*x39 + p29*x40 + p36*x41 + p43*x42; 558 pc[36] = m37 = p2*x36 + p9*x37 + p16*x38 + p23*x39 + p30*x40 + p37*x41 + p44*x42; 559 pc[37] = m38 = p3*x36 + p10*x37 + p17*x38 + p24*x39 + p31*x40 + p38*x41 + p45*x42; 560 pc[38] = m39 = p4*x36 + p11*x37 + p18*x38 + p25*x39 + p32*x40 + p39*x41 + p46*x42; 561 pc[39] = m40 = p5*x36 + p12*x37 + p19*x38 + p26*x39 + p33*x40 + p40*x41 + p47*x42; 562 pc[40] = m41 = p6*x36 + p13*x37 + p20*x38 + p27*x39 + p34*x40 + p41*x41 + p48*x42; 563 pc[41] = m42 = p7*x36 + p14*x37 + p21*x38 + p28*x39 + p35*x40 + p42*x41 + p49*x42; 564 565 pc[42] = m43 = p1*x43 + p8*x44 + p15*x45 + p22*x46 + p29*x47 + p36*x48 + p43*x49; 566 pc[43] = m44 = p2*x43 + p9*x44 + p16*x45 + p23*x46 + p30*x47 + p37*x48 + p44*x49; 567 pc[44] = m45 = p3*x43 + p10*x44 + p17*x45 + p24*x46 + p31*x47 + p38*x48 + p45*x49; 568 pc[45] = m46 = p4*x43 + p11*x44 + p18*x45 + p25*x46 + p32*x47 + p39*x48 + p46*x49; 569 pc[46] = m47 = p5*x43 + p12*x44 + p19*x45 + p26*x46 + p33*x47 + p40*x48 + p47*x49; 570 pc[47] = m48 = p6*x43 + p13*x44 + p20*x45 + p27*x46 + p34*x47 + p41*x48 + p48*x49; 571 pc[48] = m49 = p7*x43 + p14*x44 + p21*x45 + p28*x46 + p35*x47 + p42*x48 + p49*x49; 572 573 nz = bi[row+1] - diag_offset[row] - 1; 574 pv += 49; 575 for (j=0; j<nz; j++) { 576 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 577 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 578 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 579 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 580 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 581 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 582 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 583 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 584 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 585 x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 586 x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 587 x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 588 x49 = pv[48]; 589 x = rtmp + 49*pj[j]; 590 x[0] -= m1*x1 + m8*x2 + m15*x3 + m22*x4 + m29*x5 + m36*x6 + m43*x7; 591 x[1] -= m2*x1 + m9*x2 + m16*x3 + m23*x4 + m30*x5 + m37*x6 + m44*x7; 592 x[2] -= m3*x1 + m10*x2 + m17*x3 + m24*x4 + m31*x5 + m38*x6 + m45*x7; 593 x[3] -= m4*x1 + m11*x2 + m18*x3 + m25*x4 + m32*x5 + m39*x6 + m46*x7; 594 x[4] -= m5*x1 + m12*x2 + m19*x3 + m26*x4 + m33*x5 + m40*x6 + m47*x7; 595 x[5] -= m6*x1 + m13*x2 + m20*x3 + m27*x4 + m34*x5 + m41*x6 + m48*x7; 596 x[6] -= m7*x1 + m14*x2 + m21*x3 + m28*x4 + m35*x5 + m42*x6 + m49*x7; 597 598 x[7] -= m1*x8 + m8*x9 + m15*x10 + m22*x11 + m29*x12 + m36*x13 + m43*x14; 599 x[8] -= m2*x8 + m9*x9 + m16*x10 + m23*x11 + m30*x12 + m37*x13 + m44*x14; 600 x[9] -= m3*x8 + m10*x9 + m17*x10 + m24*x11 + m31*x12 + m38*x13 + m45*x14; 601 x[10] -= m4*x8 + m11*x9 + m18*x10 + m25*x11 + m32*x12 + m39*x13 + m46*x14; 602 x[11] -= m5*x8 + m12*x9 + m19*x10 + m26*x11 + m33*x12 + m40*x13 + m47*x14; 603 x[12] -= m6*x8 + m13*x9 + m20*x10 + m27*x11 + m34*x12 + m41*x13 + m48*x14; 604 x[13] -= m7*x8 + m14*x9 + m21*x10 + m28*x11 + m35*x12 + m42*x13 + m49*x14; 605 606 x[14] -= m1*x15 + m8*x16 + m15*x17 + m22*x18 + m29*x19 + m36*x20 + m43*x21; 607 x[15] -= m2*x15 + m9*x16 + m16*x17 + m23*x18 + m30*x19 + m37*x20 + m44*x21; 608 x[16] -= m3*x15 + m10*x16 + m17*x17 + m24*x18 + m31*x19 + m38*x20 + m45*x21; 609 x[17] -= m4*x15 + m11*x16 + m18*x17 + m25*x18 + m32*x19 + m39*x20 + m46*x21; 610 x[18] -= m5*x15 + m12*x16 + m19*x17 + m26*x18 + m33*x19 + m40*x20 + m47*x21; 611 x[19] -= m6*x15 + m13*x16 + m20*x17 + m27*x18 + m34*x19 + m41*x20 + m48*x21; 612 x[20] -= m7*x15 + m14*x16 + m21*x17 + m28*x18 + m35*x19 + m42*x20 + m49*x21; 613 614 x[21] -= m1*x22 + m8*x23 + m15*x24 + m22*x25 + m29*x26 + m36*x27 + m43*x28; 615 x[22] -= m2*x22 + m9*x23 + m16*x24 + m23*x25 + m30*x26 + m37*x27 + m44*x28; 616 x[23] -= m3*x22 + m10*x23 + m17*x24 + m24*x25 + m31*x26 + m38*x27 + m45*x28; 617 x[24] -= m4*x22 + m11*x23 + m18*x24 + m25*x25 + m32*x26 + m39*x27 + m46*x28; 618 x[25] -= m5*x22 + m12*x23 + m19*x24 + m26*x25 + m33*x26 + m40*x27 + m47*x28; 619 x[26] -= m6*x22 + m13*x23 + m20*x24 + m27*x25 + m34*x26 + m41*x27 + m48*x28; 620 x[27] -= m7*x22 + m14*x23 + m21*x24 + m28*x25 + m35*x26 + m42*x27 + m49*x28; 621 622 x[28] -= m1*x29 + m8*x30 + m15*x31 + m22*x32 + m29*x33 + m36*x34 + m43*x35; 623 x[29] -= m2*x29 + m9*x30 + m16*x31 + m23*x32 + m30*x33 + m37*x34 + m44*x35; 624 x[30] -= m3*x29 + m10*x30 + m17*x31 + m24*x32 + m31*x33 + m38*x34 + m45*x35; 625 x[31] -= m4*x29 + m11*x30 + m18*x31 + m25*x32 + m32*x33 + m39*x34 + m46*x35; 626 x[32] -= m5*x29 + m12*x30 + m19*x31 + m26*x32 + m33*x33 + m40*x34 + m47*x35; 627 x[33] -= m6*x29 + m13*x30 + m20*x31 + m27*x32 + m34*x33 + m41*x34 + m48*x35; 628 x[34] -= m7*x29 + m14*x30 + m21*x31 + m28*x32 + m35*x33 + m42*x34 + m49*x35; 629 630 x[35] -= m1*x36 + m8*x37 + m15*x38 + m22*x39 + m29*x40 + m36*x41 + m43*x42; 631 x[36] -= m2*x36 + m9*x37 + m16*x38 + m23*x39 + m30*x40 + m37*x41 + m44*x42; 632 x[37] -= m3*x36 + m10*x37 + m17*x38 + m24*x39 + m31*x40 + m38*x41 + m45*x42; 633 x[38] -= m4*x36 + m11*x37 + m18*x38 + m25*x39 + m32*x40 + m39*x41 + m46*x42; 634 x[39] -= m5*x36 + m12*x37 + m19*x38 + m26*x39 + m33*x40 + m40*x41 + m47*x42; 635 x[40] -= m6*x36 + m13*x37 + m20*x38 + m27*x39 + m34*x40 + m41*x41 + m48*x42; 636 x[41] -= m7*x36 + m14*x37 + m21*x38 + m28*x39 + m35*x40 + m42*x41 + m49*x42; 637 638 x[42] -= m1*x43 + m8*x44 + m15*x45 + m22*x46 + m29*x47 + m36*x48 + m43*x49; 639 x[43] -= m2*x43 + m9*x44 + m16*x45 + m23*x46 + m30*x47 + m37*x48 + m44*x49; 640 x[44] -= m3*x43 + m10*x44 + m17*x45 + m24*x46 + m31*x47 + m38*x48 + m45*x49; 641 x[45] -= m4*x43 + m11*x44 + m18*x45 + m25*x46 + m32*x47 + m39*x48 + m46*x49; 642 x[46] -= m5*x43 + m12*x44 + m19*x45 + m26*x46 + m33*x47 + m40*x48 + m47*x49; 643 x[47] -= m6*x43 + m13*x44 + m20*x45 + m27*x46 + m34*x47 + m41*x48 + m48*x49; 644 x[48] -= m7*x43 + m14*x44 + m21*x45 + m28*x46 + m35*x47 + m42*x48 + m49*x49; 645 pv += 49; 646 } 647 ierr = PetscLogFlops(686.0*nz+637.0);CHKERRQ(ierr); 648 } 649 row = *ajtmp++; 650 } 651 /* finished row so stick it into b->a */ 652 pv = ba + 49*bi[i]; 653 pj = bj + bi[i]; 654 nz = bi[i+1] - bi[i]; 655 for (j=0; j<nz; j++) { 656 x = rtmp+49*pj[j]; 657 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 658 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 659 pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 660 pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 661 pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 662 pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 663 pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 664 pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 665 pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 666 pv[36] = x[36]; pv[37] = x[37]; pv[38] = x[38]; pv[39] = x[39]; 667 pv[40] = x[40]; pv[41] = x[41]; pv[42] = x[42]; pv[43] = x[43]; 668 pv[44] = x[44]; pv[45] = x[45]; pv[46] = x[46]; pv[47] = x[47]; 669 pv[48] = x[48]; 670 pv += 49; 671 } 672 /* invert diagonal block */ 673 w = ba + 49*diag_offset[i]; 674 ierr = PetscKernel_A_gets_inverse_A_7(w,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr); 675 if (zeropivotdetected) C->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 676 } 677 678 ierr = PetscFree(rtmp);CHKERRQ(ierr); 679 680 C->ops->solve = MatSolve_SeqBAIJ_7_NaturalOrdering_inplace; 681 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_7_NaturalOrdering_inplace; 682 C->assembled = PETSC_TRUE; 683 684 ierr = PetscLogFlops(1.333333333333*7*7*7*b->mbs);CHKERRQ(ierr); /* from inverting diagonal blocks */ 685 PetscFunctionReturn(0); 686 } 687 688 #undef __FUNCT__ 689 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering" 690 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering(Mat B,Mat A,const MatFactorInfo *info) 691 { 692 Mat C =B; 693 Mat_SeqBAIJ *a=(Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ*)C->data; 694 PetscErrorCode ierr; 695 PetscInt i,j,k,nz,nzL,row; 696 const PetscInt n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j; 697 const PetscInt *ajtmp,*bjtmp,*bdiag=b->diag,*pj,bs2=a->bs2; 698 MatScalar *rtmp,*pc,*mwork,*v,*pv,*aa=a->a; 699 PetscInt flg; 700 PetscReal shift = info->shiftamount; 701 PetscBool allowzeropivot,zeropivotdetected; 702 703 PetscFunctionBegin; 704 allowzeropivot = PetscNot(A->erroriffailure); 705 706 /* generate work space needed by the factorization */ 707 ierr = PetscMalloc2(bs2*n,&rtmp,bs2,&mwork);CHKERRQ(ierr); 708 ierr = PetscMemzero(rtmp,bs2*n*sizeof(MatScalar));CHKERRQ(ierr); 709 710 for (i=0; i<n; i++) { 711 /* zero rtmp */ 712 /* L part */ 713 nz = bi[i+1] - bi[i]; 714 bjtmp = bj + bi[i]; 715 for (j=0; j<nz; j++) { 716 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 717 } 718 719 /* U part */ 720 nz = bdiag[i] - bdiag[i+1]; 721 bjtmp = bj + bdiag[i+1]+1; 722 for (j=0; j<nz; j++) { 723 ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 724 } 725 726 /* load in initial (unfactored row) */ 727 nz = ai[i+1] - ai[i]; 728 ajtmp = aj + ai[i]; 729 v = aa + bs2*ai[i]; 730 for (j=0; j<nz; j++) { 731 ierr = PetscMemcpy(rtmp+bs2*ajtmp[j],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr); 732 } 733 734 /* elimination */ 735 bjtmp = bj + bi[i]; 736 nzL = bi[i+1] - bi[i]; 737 for (k=0; k < nzL; k++) { 738 row = bjtmp[k]; 739 pc = rtmp + bs2*row; 740 for (flg=0,j=0; j<bs2; j++) { 741 if (pc[j]!=0.0) { 742 flg = 1; 743 break; 744 } 745 } 746 if (flg) { 747 pv = b->a + bs2*bdiag[row]; 748 /* PetscKernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 749 ierr = PetscKernel_A_gets_A_times_B_7(pc,pv,mwork);CHKERRQ(ierr); 750 751 pj = b->j + bdiag[row+1]+1; /* begining of U(row,:) */ 752 pv = b->a + bs2*(bdiag[row+1]+1); 753 nz = bdiag[row] - bdiag[row+1] - 1; /* num of entries inU(row,:), excluding diag */ 754 for (j=0; j<nz; j++) { 755 /* PetscKernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 756 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 757 v = rtmp + bs2*pj[j]; 758 ierr = PetscKernel_A_gets_A_minus_B_times_C_7(v,pc,pv);CHKERRQ(ierr); 759 pv += bs2; 760 } 761 ierr = PetscLogFlops(686*nz+637);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 762 } 763 } 764 765 /* finished row so stick it into b->a */ 766 /* L part */ 767 pv = b->a + bs2*bi[i]; 768 pj = b->j + bi[i]; 769 nz = bi[i+1] - bi[i]; 770 for (j=0; j<nz; j++) { 771 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 772 } 773 774 /* Mark diagonal and invert diagonal for simplier triangular solves */ 775 pv = b->a + bs2*bdiag[i]; 776 pj = b->j + bdiag[i]; 777 ierr = PetscMemcpy(pv,rtmp+bs2*pj[0],bs2*sizeof(MatScalar));CHKERRQ(ierr); 778 ierr = PetscKernel_A_gets_inverse_A_7(pv,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr); 779 if (zeropivotdetected) C->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 780 781 /* U part */ 782 pv = b->a + bs2*(bdiag[i+1]+1); 783 pj = b->j + bdiag[i+1]+1; 784 nz = bdiag[i] - bdiag[i+1] - 1; 785 for (j=0; j<nz; j++) { 786 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 787 } 788 } 789 ierr = PetscFree2(rtmp,mwork);CHKERRQ(ierr); 790 791 C->ops->solve = MatSolve_SeqBAIJ_7_NaturalOrdering; 792 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_7_NaturalOrdering; 793 C->assembled = PETSC_TRUE; 794 795 ierr = PetscLogFlops(1.333333333333*7*7*7*n);CHKERRQ(ierr); /* from inverting diagonal blocks */ 796 PetscFunctionReturn(0); 797 } 798 799