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 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7_inplace(Mat C,Mat A,const MatFactorInfo *info) 11 { 12 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ*)C->data; 13 IS isrow = b->row,isicol = b->icol; 14 const PetscInt *r,*ic,*bi = b->i,*bj = b->j,*ajtmp,*diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj,*ajtmpold; 15 PetscInt i,j,n = a->mbs,nz,row,idx; 16 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 17 MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 18 MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16; 19 MatScalar x17,x18,x19,x20,x21,x22,x23,x24,x25,p10,p11,p12,p13,p14; 20 MatScalar p15,p16,p17,p18,p19,p20,p21,p22,p23,p24,p25,m10,m11,m12; 21 MatScalar m13,m14,m15,m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 22 MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 23 MatScalar p37,p38,p39,p40,p41,p42,p43,p44,p45,p46,p47,p48,p49; 24 MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 25 MatScalar x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49; 26 MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 27 MatScalar m37,m38,m39,m40,m41,m42,m43,m44,m45,m46,m47,m48,m49; 28 MatScalar *ba = b->a,*aa = a->a; 29 PetscReal shift = info->shiftamount; 30 PetscBool allowzeropivot,zeropivotdetected; 31 32 PetscFunctionBegin; 33 allowzeropivot = PetscNot(A->erroriffailure); 34 PetscCall(ISGetIndices(isrow,&r)); 35 PetscCall(ISGetIndices(isicol,&ic)); 36 PetscCall(PetscMalloc1(49*(n+1),&rtmp)); 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+49*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] = x[36] = x[37] = x[38] = x[39] = x[40] = x[41] = 0.0; 48 x[42] = x[43] = x[44] = x[45] = x[46] = x[47] = x[48] = 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 + 49*ai[idx]; 55 for (j=0; j<nz; j++) { 56 x = rtmp+49*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 x[36] = v[36]; x[37] = v[37]; x[38] = v[38]; x[39] = v[39]; 67 x[40] = v[40]; x[41] = v[41]; x[42] = v[42]; x[43] = v[43]; 68 x[44] = v[44]; x[45] = v[45]; x[46] = v[46]; x[47] = v[47]; 69 x[48] = v[48]; 70 v += 49; 71 } 72 row = *ajtmp++; 73 while (row < i) { 74 pc = rtmp + 49*row; 75 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 76 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 77 p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 78 p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 79 p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 80 p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 81 p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 82 p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 83 p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 84 p37 = pc[36]; p38 = pc[37]; p39 = pc[38]; p40 = pc[39]; 85 p41 = pc[40]; p42 = pc[41]; p43 = pc[42]; p44 = pc[43]; 86 p45 = pc[44]; p46 = pc[45]; p47 = pc[46]; p48 = pc[47]; 87 p49 = pc[48]; 88 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 89 p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 90 p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 91 p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 92 p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 93 p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 94 p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 95 p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 96 p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0 || 97 p37 != 0.0 || p38 != 0.0 || p39 != 0.0 || p40 != 0.0 || 98 p41 != 0.0 || p42 != 0.0 || p43 != 0.0 || p44 != 0.0 || 99 p45 != 0.0 || p46 != 0.0 || p47 != 0.0 || p48 != 0.0 || 100 p49 != 0.0) { 101 pv = ba + 49*diag_offset[row]; 102 pj = bj + diag_offset[row] + 1; 103 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 104 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 105 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 106 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 107 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 108 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 109 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 110 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 111 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 112 x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 113 x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 114 x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 115 x49 = pv[48]; 116 pc[0] = m1 = p1*x1 + p8*x2 + p15*x3 + p22*x4 + p29*x5 + p36*x6 + p43*x7; 117 pc[1] = m2 = p2*x1 + p9*x2 + p16*x3 + p23*x4 + p30*x5 + p37*x6 + p44*x7; 118 pc[2] = m3 = p3*x1 + p10*x2 + p17*x3 + p24*x4 + p31*x5 + p38*x6 + p45*x7; 119 pc[3] = m4 = p4*x1 + p11*x2 + p18*x3 + p25*x4 + p32*x5 + p39*x6 + p46*x7; 120 pc[4] = m5 = p5*x1 + p12*x2 + p19*x3 + p26*x4 + p33*x5 + p40*x6 + p47*x7; 121 pc[5] = m6 = p6*x1 + p13*x2 + p20*x3 + p27*x4 + p34*x5 + p41*x6 + p48*x7; 122 pc[6] = m7 = p7*x1 + p14*x2 + p21*x3 + p28*x4 + p35*x5 + p42*x6 + p49*x7; 123 124 pc[7] = m8 = p1*x8 + p8*x9 + p15*x10 + p22*x11 + p29*x12 + p36*x13 + p43*x14; 125 pc[8] = m9 = p2*x8 + p9*x9 + p16*x10 + p23*x11 + p30*x12 + p37*x13 + p44*x14; 126 pc[9] = m10 = p3*x8 + p10*x9 + p17*x10 + p24*x11 + p31*x12 + p38*x13 + p45*x14; 127 pc[10] = m11 = p4*x8 + p11*x9 + p18*x10 + p25*x11 + p32*x12 + p39*x13 + p46*x14; 128 pc[11] = m12 = p5*x8 + p12*x9 + p19*x10 + p26*x11 + p33*x12 + p40*x13 + p47*x14; 129 pc[12] = m13 = p6*x8 + p13*x9 + p20*x10 + p27*x11 + p34*x12 + p41*x13 + p48*x14; 130 pc[13] = m14 = p7*x8 + p14*x9 + p21*x10 + p28*x11 + p35*x12 + p42*x13 + p49*x14; 131 132 pc[14] = m15 = p1*x15 + p8*x16 + p15*x17 + p22*x18 + p29*x19 + p36*x20 + p43*x21; 133 pc[15] = m16 = p2*x15 + p9*x16 + p16*x17 + p23*x18 + p30*x19 + p37*x20 + p44*x21; 134 pc[16] = m17 = p3*x15 + p10*x16 + p17*x17 + p24*x18 + p31*x19 + p38*x20 + p45*x21; 135 pc[17] = m18 = p4*x15 + p11*x16 + p18*x17 + p25*x18 + p32*x19 + p39*x20 + p46*x21; 136 pc[18] = m19 = p5*x15 + p12*x16 + p19*x17 + p26*x18 + p33*x19 + p40*x20 + p47*x21; 137 pc[19] = m20 = p6*x15 + p13*x16 + p20*x17 + p27*x18 + p34*x19 + p41*x20 + p48*x21; 138 pc[20] = m21 = p7*x15 + p14*x16 + p21*x17 + p28*x18 + p35*x19 + p42*x20 + p49*x21; 139 140 pc[21] = m22 = p1*x22 + p8*x23 + p15*x24 + p22*x25 + p29*x26 + p36*x27 + p43*x28; 141 pc[22] = m23 = p2*x22 + p9*x23 + p16*x24 + p23*x25 + p30*x26 + p37*x27 + p44*x28; 142 pc[23] = m24 = p3*x22 + p10*x23 + p17*x24 + p24*x25 + p31*x26 + p38*x27 + p45*x28; 143 pc[24] = m25 = p4*x22 + p11*x23 + p18*x24 + p25*x25 + p32*x26 + p39*x27 + p46*x28; 144 pc[25] = m26 = p5*x22 + p12*x23 + p19*x24 + p26*x25 + p33*x26 + p40*x27 + p47*x28; 145 pc[26] = m27 = p6*x22 + p13*x23 + p20*x24 + p27*x25 + p34*x26 + p41*x27 + p48*x28; 146 pc[27] = m28 = p7*x22 + p14*x23 + p21*x24 + p28*x25 + p35*x26 + p42*x27 + p49*x28; 147 148 pc[28] = m29 = p1*x29 + p8*x30 + p15*x31 + p22*x32 + p29*x33 + p36*x34 + p43*x35; 149 pc[29] = m30 = p2*x29 + p9*x30 + p16*x31 + p23*x32 + p30*x33 + p37*x34 + p44*x35; 150 pc[30] = m31 = p3*x29 + p10*x30 + p17*x31 + p24*x32 + p31*x33 + p38*x34 + p45*x35; 151 pc[31] = m32 = p4*x29 + p11*x30 + p18*x31 + p25*x32 + p32*x33 + p39*x34 + p46*x35; 152 pc[32] = m33 = p5*x29 + p12*x30 + p19*x31 + p26*x32 + p33*x33 + p40*x34 + p47*x35; 153 pc[33] = m34 = p6*x29 + p13*x30 + p20*x31 + p27*x32 + p34*x33 + p41*x34 + p48*x35; 154 pc[34] = m35 = p7*x29 + p14*x30 + p21*x31 + p28*x32 + p35*x33 + p42*x34 + p49*x35; 155 156 pc[35] = m36 = p1*x36 + p8*x37 + p15*x38 + p22*x39 + p29*x40 + p36*x41 + p43*x42; 157 pc[36] = m37 = p2*x36 + p9*x37 + p16*x38 + p23*x39 + p30*x40 + p37*x41 + p44*x42; 158 pc[37] = m38 = p3*x36 + p10*x37 + p17*x38 + p24*x39 + p31*x40 + p38*x41 + p45*x42; 159 pc[38] = m39 = p4*x36 + p11*x37 + p18*x38 + p25*x39 + p32*x40 + p39*x41 + p46*x42; 160 pc[39] = m40 = p5*x36 + p12*x37 + p19*x38 + p26*x39 + p33*x40 + p40*x41 + p47*x42; 161 pc[40] = m41 = p6*x36 + p13*x37 + p20*x38 + p27*x39 + p34*x40 + p41*x41 + p48*x42; 162 pc[41] = m42 = p7*x36 + p14*x37 + p21*x38 + p28*x39 + p35*x40 + p42*x41 + p49*x42; 163 164 pc[42] = m43 = p1*x43 + p8*x44 + p15*x45 + p22*x46 + p29*x47 + p36*x48 + p43*x49; 165 pc[43] = m44 = p2*x43 + p9*x44 + p16*x45 + p23*x46 + p30*x47 + p37*x48 + p44*x49; 166 pc[44] = m45 = p3*x43 + p10*x44 + p17*x45 + p24*x46 + p31*x47 + p38*x48 + p45*x49; 167 pc[45] = m46 = p4*x43 + p11*x44 + p18*x45 + p25*x46 + p32*x47 + p39*x48 + p46*x49; 168 pc[46] = m47 = p5*x43 + p12*x44 + p19*x45 + p26*x46 + p33*x47 + p40*x48 + p47*x49; 169 pc[47] = m48 = p6*x43 + p13*x44 + p20*x45 + p27*x46 + p34*x47 + p41*x48 + p48*x49; 170 pc[48] = m49 = p7*x43 + p14*x44 + p21*x45 + p28*x46 + p35*x47 + p42*x48 + p49*x49; 171 172 nz = bi[row+1] - diag_offset[row] - 1; 173 pv += 49; 174 for (j=0; j<nz; j++) { 175 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 176 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 177 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 178 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 179 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 180 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 181 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 182 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 183 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 184 x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 185 x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 186 x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 187 x49 = pv[48]; 188 x = rtmp + 49*pj[j]; 189 x[0] -= m1*x1 + m8*x2 + m15*x3 + m22*x4 + m29*x5 + m36*x6 + m43*x7; 190 x[1] -= m2*x1 + m9*x2 + m16*x3 + m23*x4 + m30*x5 + m37*x6 + m44*x7; 191 x[2] -= m3*x1 + m10*x2 + m17*x3 + m24*x4 + m31*x5 + m38*x6 + m45*x7; 192 x[3] -= m4*x1 + m11*x2 + m18*x3 + m25*x4 + m32*x5 + m39*x6 + m46*x7; 193 x[4] -= m5*x1 + m12*x2 + m19*x3 + m26*x4 + m33*x5 + m40*x6 + m47*x7; 194 x[5] -= m6*x1 + m13*x2 + m20*x3 + m27*x4 + m34*x5 + m41*x6 + m48*x7; 195 x[6] -= m7*x1 + m14*x2 + m21*x3 + m28*x4 + m35*x5 + m42*x6 + m49*x7; 196 197 x[7] -= m1*x8 + m8*x9 + m15*x10 + m22*x11 + m29*x12 + m36*x13 + m43*x14; 198 x[8] -= m2*x8 + m9*x9 + m16*x10 + m23*x11 + m30*x12 + m37*x13 + m44*x14; 199 x[9] -= m3*x8 + m10*x9 + m17*x10 + m24*x11 + m31*x12 + m38*x13 + m45*x14; 200 x[10] -= m4*x8 + m11*x9 + m18*x10 + m25*x11 + m32*x12 + m39*x13 + m46*x14; 201 x[11] -= m5*x8 + m12*x9 + m19*x10 + m26*x11 + m33*x12 + m40*x13 + m47*x14; 202 x[12] -= m6*x8 + m13*x9 + m20*x10 + m27*x11 + m34*x12 + m41*x13 + m48*x14; 203 x[13] -= m7*x8 + m14*x9 + m21*x10 + m28*x11 + m35*x12 + m42*x13 + m49*x14; 204 205 x[14] -= m1*x15 + m8*x16 + m15*x17 + m22*x18 + m29*x19 + m36*x20 + m43*x21; 206 x[15] -= m2*x15 + m9*x16 + m16*x17 + m23*x18 + m30*x19 + m37*x20 + m44*x21; 207 x[16] -= m3*x15 + m10*x16 + m17*x17 + m24*x18 + m31*x19 + m38*x20 + m45*x21; 208 x[17] -= m4*x15 + m11*x16 + m18*x17 + m25*x18 + m32*x19 + m39*x20 + m46*x21; 209 x[18] -= m5*x15 + m12*x16 + m19*x17 + m26*x18 + m33*x19 + m40*x20 + m47*x21; 210 x[19] -= m6*x15 + m13*x16 + m20*x17 + m27*x18 + m34*x19 + m41*x20 + m48*x21; 211 x[20] -= m7*x15 + m14*x16 + m21*x17 + m28*x18 + m35*x19 + m42*x20 + m49*x21; 212 213 x[21] -= m1*x22 + m8*x23 + m15*x24 + m22*x25 + m29*x26 + m36*x27 + m43*x28; 214 x[22] -= m2*x22 + m9*x23 + m16*x24 + m23*x25 + m30*x26 + m37*x27 + m44*x28; 215 x[23] -= m3*x22 + m10*x23 + m17*x24 + m24*x25 + m31*x26 + m38*x27 + m45*x28; 216 x[24] -= m4*x22 + m11*x23 + m18*x24 + m25*x25 + m32*x26 + m39*x27 + m46*x28; 217 x[25] -= m5*x22 + m12*x23 + m19*x24 + m26*x25 + m33*x26 + m40*x27 + m47*x28; 218 x[26] -= m6*x22 + m13*x23 + m20*x24 + m27*x25 + m34*x26 + m41*x27 + m48*x28; 219 x[27] -= m7*x22 + m14*x23 + m21*x24 + m28*x25 + m35*x26 + m42*x27 + m49*x28; 220 221 x[28] -= m1*x29 + m8*x30 + m15*x31 + m22*x32 + m29*x33 + m36*x34 + m43*x35; 222 x[29] -= m2*x29 + m9*x30 + m16*x31 + m23*x32 + m30*x33 + m37*x34 + m44*x35; 223 x[30] -= m3*x29 + m10*x30 + m17*x31 + m24*x32 + m31*x33 + m38*x34 + m45*x35; 224 x[31] -= m4*x29 + m11*x30 + m18*x31 + m25*x32 + m32*x33 + m39*x34 + m46*x35; 225 x[32] -= m5*x29 + m12*x30 + m19*x31 + m26*x32 + m33*x33 + m40*x34 + m47*x35; 226 x[33] -= m6*x29 + m13*x30 + m20*x31 + m27*x32 + m34*x33 + m41*x34 + m48*x35; 227 x[34] -= m7*x29 + m14*x30 + m21*x31 + m28*x32 + m35*x33 + m42*x34 + m49*x35; 228 229 x[35] -= m1*x36 + m8*x37 + m15*x38 + m22*x39 + m29*x40 + m36*x41 + m43*x42; 230 x[36] -= m2*x36 + m9*x37 + m16*x38 + m23*x39 + m30*x40 + m37*x41 + m44*x42; 231 x[37] -= m3*x36 + m10*x37 + m17*x38 + m24*x39 + m31*x40 + m38*x41 + m45*x42; 232 x[38] -= m4*x36 + m11*x37 + m18*x38 + m25*x39 + m32*x40 + m39*x41 + m46*x42; 233 x[39] -= m5*x36 + m12*x37 + m19*x38 + m26*x39 + m33*x40 + m40*x41 + m47*x42; 234 x[40] -= m6*x36 + m13*x37 + m20*x38 + m27*x39 + m34*x40 + m41*x41 + m48*x42; 235 x[41] -= m7*x36 + m14*x37 + m21*x38 + m28*x39 + m35*x40 + m42*x41 + m49*x42; 236 237 x[42] -= m1*x43 + m8*x44 + m15*x45 + m22*x46 + m29*x47 + m36*x48 + m43*x49; 238 x[43] -= m2*x43 + m9*x44 + m16*x45 + m23*x46 + m30*x47 + m37*x48 + m44*x49; 239 x[44] -= m3*x43 + m10*x44 + m17*x45 + m24*x46 + m31*x47 + m38*x48 + m45*x49; 240 x[45] -= m4*x43 + m11*x44 + m18*x45 + m25*x46 + m32*x47 + m39*x48 + m46*x49; 241 x[46] -= m5*x43 + m12*x44 + m19*x45 + m26*x46 + m33*x47 + m40*x48 + m47*x49; 242 x[47] -= m6*x43 + m13*x44 + m20*x45 + m27*x46 + m34*x47 + m41*x48 + m48*x49; 243 x[48] -= m7*x43 + m14*x44 + m21*x45 + m28*x46 + m35*x47 + m42*x48 + m49*x49; 244 pv += 49; 245 } 246 PetscCall(PetscLogFlops(686.0*nz+637.0)); 247 } 248 row = *ajtmp++; 249 } 250 /* finished row so stick it into b->a */ 251 pv = ba + 49*bi[i]; 252 pj = bj + bi[i]; 253 nz = bi[i+1] - bi[i]; 254 for (j=0; j<nz; j++) { 255 x = rtmp+49*pj[j]; 256 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 257 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 258 pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 259 pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 260 pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 261 pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 262 pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 263 pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 264 pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 265 pv[36] = x[36]; pv[37] = x[37]; pv[38] = x[38]; pv[39] = x[39]; 266 pv[40] = x[40]; pv[41] = x[41]; pv[42] = x[42]; pv[43] = x[43]; 267 pv[44] = x[44]; pv[45] = x[45]; pv[46] = x[46]; pv[47] = x[47]; 268 pv[48] = x[48]; 269 pv += 49; 270 } 271 /* invert diagonal block */ 272 w = ba + 49*diag_offset[i]; 273 PetscCall(PetscKernel_A_gets_inverse_A_7(w,shift,allowzeropivot,&zeropivotdetected)); 274 if (zeropivotdetected) C->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 275 } 276 277 PetscCall(PetscFree(rtmp)); 278 PetscCall(ISRestoreIndices(isicol,&ic)); 279 PetscCall(ISRestoreIndices(isrow,&r)); 280 281 C->ops->solve = MatSolve_SeqBAIJ_7_inplace; 282 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_7_inplace; 283 C->assembled = PETSC_TRUE; 284 285 PetscCall(PetscLogFlops(1.333333333333*7*7*7*b->mbs)); /* from inverting diagonal blocks */ 286 PetscFunctionReturn(0); 287 } 288 289 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7(Mat B,Mat A,const MatFactorInfo *info) 290 { 291 Mat C =B; 292 Mat_SeqBAIJ *a =(Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ*)C->data; 293 IS isrow = b->row,isicol = b->icol; 294 const PetscInt *r,*ic; 295 PetscInt i,j,k,nz,nzL,row; 296 const PetscInt n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j; 297 const PetscInt *ajtmp,*bjtmp,*bdiag=b->diag,*pj,bs2=a->bs2; 298 MatScalar *rtmp,*pc,*mwork,*v,*pv,*aa=a->a; 299 PetscInt flg; 300 PetscReal shift = info->shiftamount; 301 PetscBool allowzeropivot,zeropivotdetected; 302 303 PetscFunctionBegin; 304 allowzeropivot = PetscNot(A->erroriffailure); 305 PetscCall(ISGetIndices(isrow,&r)); 306 PetscCall(ISGetIndices(isicol,&ic)); 307 308 /* generate work space needed by the factorization */ 309 PetscCall(PetscMalloc2(bs2*n,&rtmp,bs2,&mwork)); 310 PetscCall(PetscArrayzero(rtmp,bs2*n)); 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 PetscCall(PetscArrayzero(rtmp+bs2*bjtmp[j],bs2)); 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 PetscCall(PetscArrayzero(rtmp+bs2*bjtmp[j],bs2)); 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 PetscCall(PetscArraycpy(rtmp+bs2*ic[ajtmp[j]],v+bs2*j,bs2)); 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 PetscCall(PetscKernel_A_gets_A_times_B_7(pc,pv,mwork)); 352 353 pj = b->j + bdiag[row+1]+1; /* beginning 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 PetscCall(PetscKernel_A_gets_A_minus_B_times_C_7(v,pc,pv)); 361 pv += bs2; 362 } 363 PetscCall(PetscLogFlops(686.0*nz+637)); /* 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 PetscCall(PetscArraycpy(pv+bs2*j,rtmp+bs2*pj[j],bs2)); 374 } 375 376 /* Mark diagonal and invert diagonal for simpler triangular solves */ 377 pv = b->a + bs2*bdiag[i]; 378 pj = b->j + bdiag[i]; 379 PetscCall(PetscArraycpy(pv,rtmp+bs2*pj[0],bs2)); 380 PetscCall(PetscKernel_A_gets_inverse_A_7(pv,shift,allowzeropivot,&zeropivotdetected)); 381 if (zeropivotdetected) C->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 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 PetscCall(PetscArraycpy(pv+bs2*j,rtmp+bs2*pj[j],bs2)); 389 } 390 } 391 392 PetscCall(PetscFree2(rtmp,mwork)); 393 PetscCall(ISRestoreIndices(isicol,&ic)); 394 PetscCall(ISRestoreIndices(isrow,&r)); 395 396 C->ops->solve = MatSolve_SeqBAIJ_7; 397 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_7; 398 C->assembled = PETSC_TRUE; 399 400 PetscCall(PetscLogFlops(1.333333333333*7*7*7*n)); /* from inverting diagonal blocks */ 401 PetscFunctionReturn(0); 402 } 403 404 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 PetscInt i,j,n = a->mbs,*bi = b->i,*bj = b->j; 408 PetscInt *ajtmpold,*ajtmp,nz,row; 409 PetscInt *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 410 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 411 MatScalar x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15; 412 MatScalar x16,x17,x18,x19,x20,x21,x22,x23,x24,x25; 413 MatScalar p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15; 414 MatScalar p16,p17,p18,p19,p20,p21,p22,p23,p24,p25; 415 MatScalar m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15; 416 MatScalar m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 417 MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 418 MatScalar p37,p38,p39,p40,p41,p42,p43,p44,p45,p46,p47,p48,p49; 419 MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 420 MatScalar x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49; 421 MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 422 MatScalar m37,m38,m39,m40,m41,m42,m43,m44,m45,m46,m47,m48,m49; 423 MatScalar *ba = b->a,*aa = a->a; 424 PetscReal shift = info->shiftamount; 425 PetscBool allowzeropivot,zeropivotdetected; 426 427 PetscFunctionBegin; 428 allowzeropivot = PetscNot(A->erroriffailure); 429 PetscCall(PetscMalloc1(49*(n+1),&rtmp)); 430 for (i=0; i<n; i++) { 431 nz = bi[i+1] - bi[i]; 432 ajtmp = bj + bi[i]; 433 for (j=0; j<nz; j++) { 434 x = rtmp+49*ajtmp[j]; 435 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 436 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 437 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0; 438 x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0; 439 x[34] = x[35] = x[36] = x[37] = x[38] = x[39] = x[40] = x[41] = 0.0; 440 x[42] = x[43] = x[44] = x[45] = x[46] = x[47] = x[48] = 0.0; 441 } 442 /* load in initial (unfactored row) */ 443 nz = ai[i+1] - ai[i]; 444 ajtmpold = aj + ai[i]; 445 v = aa + 49*ai[i]; 446 for (j=0; j<nz; j++) { 447 x = rtmp+49*ajtmpold[j]; 448 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 449 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 450 x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 451 x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 452 x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 453 x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 454 x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 455 x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 456 x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 457 x[36] = v[36]; x[37] = v[37]; x[38] = v[38]; x[39] = v[39]; 458 x[40] = v[40]; x[41] = v[41]; x[42] = v[42]; x[43] = v[43]; 459 x[44] = v[44]; x[45] = v[45]; x[46] = v[46]; x[47] = v[47]; 460 x[48] = v[48]; 461 v += 49; 462 } 463 row = *ajtmp++; 464 while (row < i) { 465 pc = rtmp + 49*row; 466 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 467 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 468 p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 469 p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 470 p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 471 p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 472 p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 473 p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 474 p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 475 p37 = pc[36]; p38 = pc[37]; p39 = pc[38]; p40 = pc[39]; 476 p41 = pc[40]; p42 = pc[41]; p43 = pc[42]; p44 = pc[43]; 477 p45 = pc[44]; p46 = pc[45]; p47 = pc[46]; p48 = pc[47]; 478 p49 = pc[48]; 479 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 480 p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 481 p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 482 p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 483 p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 484 p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 485 p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 486 p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 487 p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0 || 488 p37 != 0.0 || p38 != 0.0 || p39 != 0.0 || p40 != 0.0 || 489 p41 != 0.0 || p42 != 0.0 || p43 != 0.0 || p44 != 0.0 || 490 p45 != 0.0 || p46 != 0.0 || p47 != 0.0 || p48 != 0.0 || 491 p49 != 0.0) { 492 pv = ba + 49*diag_offset[row]; 493 pj = bj + diag_offset[row] + 1; 494 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 495 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 496 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 497 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 498 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 499 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 500 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 501 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 502 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 503 x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 504 x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 505 x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 506 x49 = pv[48]; 507 pc[0] = m1 = p1*x1 + p8*x2 + p15*x3 + p22*x4 + p29*x5 + p36*x6 + p43*x7; 508 pc[1] = m2 = p2*x1 + p9*x2 + p16*x3 + p23*x4 + p30*x5 + p37*x6 + p44*x7; 509 pc[2] = m3 = p3*x1 + p10*x2 + p17*x3 + p24*x4 + p31*x5 + p38*x6 + p45*x7; 510 pc[3] = m4 = p4*x1 + p11*x2 + p18*x3 + p25*x4 + p32*x5 + p39*x6 + p46*x7; 511 pc[4] = m5 = p5*x1 + p12*x2 + p19*x3 + p26*x4 + p33*x5 + p40*x6 + p47*x7; 512 pc[5] = m6 = p6*x1 + p13*x2 + p20*x3 + p27*x4 + p34*x5 + p41*x6 + p48*x7; 513 pc[6] = m7 = p7*x1 + p14*x2 + p21*x3 + p28*x4 + p35*x5 + p42*x6 + p49*x7; 514 515 pc[7] = m8 = p1*x8 + p8*x9 + p15*x10 + p22*x11 + p29*x12 + p36*x13 + p43*x14; 516 pc[8] = m9 = p2*x8 + p9*x9 + p16*x10 + p23*x11 + p30*x12 + p37*x13 + p44*x14; 517 pc[9] = m10 = p3*x8 + p10*x9 + p17*x10 + p24*x11 + p31*x12 + p38*x13 + p45*x14; 518 pc[10] = m11 = p4*x8 + p11*x9 + p18*x10 + p25*x11 + p32*x12 + p39*x13 + p46*x14; 519 pc[11] = m12 = p5*x8 + p12*x9 + p19*x10 + p26*x11 + p33*x12 + p40*x13 + p47*x14; 520 pc[12] = m13 = p6*x8 + p13*x9 + p20*x10 + p27*x11 + p34*x12 + p41*x13 + p48*x14; 521 pc[13] = m14 = p7*x8 + p14*x9 + p21*x10 + p28*x11 + p35*x12 + p42*x13 + p49*x14; 522 523 pc[14] = m15 = p1*x15 + p8*x16 + p15*x17 + p22*x18 + p29*x19 + p36*x20 + p43*x21; 524 pc[15] = m16 = p2*x15 + p9*x16 + p16*x17 + p23*x18 + p30*x19 + p37*x20 + p44*x21; 525 pc[16] = m17 = p3*x15 + p10*x16 + p17*x17 + p24*x18 + p31*x19 + p38*x20 + p45*x21; 526 pc[17] = m18 = p4*x15 + p11*x16 + p18*x17 + p25*x18 + p32*x19 + p39*x20 + p46*x21; 527 pc[18] = m19 = p5*x15 + p12*x16 + p19*x17 + p26*x18 + p33*x19 + p40*x20 + p47*x21; 528 pc[19] = m20 = p6*x15 + p13*x16 + p20*x17 + p27*x18 + p34*x19 + p41*x20 + p48*x21; 529 pc[20] = m21 = p7*x15 + p14*x16 + p21*x17 + p28*x18 + p35*x19 + p42*x20 + p49*x21; 530 531 pc[21] = m22 = p1*x22 + p8*x23 + p15*x24 + p22*x25 + p29*x26 + p36*x27 + p43*x28; 532 pc[22] = m23 = p2*x22 + p9*x23 + p16*x24 + p23*x25 + p30*x26 + p37*x27 + p44*x28; 533 pc[23] = m24 = p3*x22 + p10*x23 + p17*x24 + p24*x25 + p31*x26 + p38*x27 + p45*x28; 534 pc[24] = m25 = p4*x22 + p11*x23 + p18*x24 + p25*x25 + p32*x26 + p39*x27 + p46*x28; 535 pc[25] = m26 = p5*x22 + p12*x23 + p19*x24 + p26*x25 + p33*x26 + p40*x27 + p47*x28; 536 pc[26] = m27 = p6*x22 + p13*x23 + p20*x24 + p27*x25 + p34*x26 + p41*x27 + p48*x28; 537 pc[27] = m28 = p7*x22 + p14*x23 + p21*x24 + p28*x25 + p35*x26 + p42*x27 + p49*x28; 538 539 pc[28] = m29 = p1*x29 + p8*x30 + p15*x31 + p22*x32 + p29*x33 + p36*x34 + p43*x35; 540 pc[29] = m30 = p2*x29 + p9*x30 + p16*x31 + p23*x32 + p30*x33 + p37*x34 + p44*x35; 541 pc[30] = m31 = p3*x29 + p10*x30 + p17*x31 + p24*x32 + p31*x33 + p38*x34 + p45*x35; 542 pc[31] = m32 = p4*x29 + p11*x30 + p18*x31 + p25*x32 + p32*x33 + p39*x34 + p46*x35; 543 pc[32] = m33 = p5*x29 + p12*x30 + p19*x31 + p26*x32 + p33*x33 + p40*x34 + p47*x35; 544 pc[33] = m34 = p6*x29 + p13*x30 + p20*x31 + p27*x32 + p34*x33 + p41*x34 + p48*x35; 545 pc[34] = m35 = p7*x29 + p14*x30 + p21*x31 + p28*x32 + p35*x33 + p42*x34 + p49*x35; 546 547 pc[35] = m36 = p1*x36 + p8*x37 + p15*x38 + p22*x39 + p29*x40 + p36*x41 + p43*x42; 548 pc[36] = m37 = p2*x36 + p9*x37 + p16*x38 + p23*x39 + p30*x40 + p37*x41 + p44*x42; 549 pc[37] = m38 = p3*x36 + p10*x37 + p17*x38 + p24*x39 + p31*x40 + p38*x41 + p45*x42; 550 pc[38] = m39 = p4*x36 + p11*x37 + p18*x38 + p25*x39 + p32*x40 + p39*x41 + p46*x42; 551 pc[39] = m40 = p5*x36 + p12*x37 + p19*x38 + p26*x39 + p33*x40 + p40*x41 + p47*x42; 552 pc[40] = m41 = p6*x36 + p13*x37 + p20*x38 + p27*x39 + p34*x40 + p41*x41 + p48*x42; 553 pc[41] = m42 = p7*x36 + p14*x37 + p21*x38 + p28*x39 + p35*x40 + p42*x41 + p49*x42; 554 555 pc[42] = m43 = p1*x43 + p8*x44 + p15*x45 + p22*x46 + p29*x47 + p36*x48 + p43*x49; 556 pc[43] = m44 = p2*x43 + p9*x44 + p16*x45 + p23*x46 + p30*x47 + p37*x48 + p44*x49; 557 pc[44] = m45 = p3*x43 + p10*x44 + p17*x45 + p24*x46 + p31*x47 + p38*x48 + p45*x49; 558 pc[45] = m46 = p4*x43 + p11*x44 + p18*x45 + p25*x46 + p32*x47 + p39*x48 + p46*x49; 559 pc[46] = m47 = p5*x43 + p12*x44 + p19*x45 + p26*x46 + p33*x47 + p40*x48 + p47*x49; 560 pc[47] = m48 = p6*x43 + p13*x44 + p20*x45 + p27*x46 + p34*x47 + p41*x48 + p48*x49; 561 pc[48] = m49 = p7*x43 + p14*x44 + p21*x45 + p28*x46 + p35*x47 + p42*x48 + p49*x49; 562 563 nz = bi[row+1] - diag_offset[row] - 1; 564 pv += 49; 565 for (j=0; j<nz; j++) { 566 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 567 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 568 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 569 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 570 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 571 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 572 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 573 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 574 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 575 x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 576 x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 577 x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 578 x49 = pv[48]; 579 x = rtmp + 49*pj[j]; 580 x[0] -= m1*x1 + m8*x2 + m15*x3 + m22*x4 + m29*x5 + m36*x6 + m43*x7; 581 x[1] -= m2*x1 + m9*x2 + m16*x3 + m23*x4 + m30*x5 + m37*x6 + m44*x7; 582 x[2] -= m3*x1 + m10*x2 + m17*x3 + m24*x4 + m31*x5 + m38*x6 + m45*x7; 583 x[3] -= m4*x1 + m11*x2 + m18*x3 + m25*x4 + m32*x5 + m39*x6 + m46*x7; 584 x[4] -= m5*x1 + m12*x2 + m19*x3 + m26*x4 + m33*x5 + m40*x6 + m47*x7; 585 x[5] -= m6*x1 + m13*x2 + m20*x3 + m27*x4 + m34*x5 + m41*x6 + m48*x7; 586 x[6] -= m7*x1 + m14*x2 + m21*x3 + m28*x4 + m35*x5 + m42*x6 + m49*x7; 587 588 x[7] -= m1*x8 + m8*x9 + m15*x10 + m22*x11 + m29*x12 + m36*x13 + m43*x14; 589 x[8] -= m2*x8 + m9*x9 + m16*x10 + m23*x11 + m30*x12 + m37*x13 + m44*x14; 590 x[9] -= m3*x8 + m10*x9 + m17*x10 + m24*x11 + m31*x12 + m38*x13 + m45*x14; 591 x[10] -= m4*x8 + m11*x9 + m18*x10 + m25*x11 + m32*x12 + m39*x13 + m46*x14; 592 x[11] -= m5*x8 + m12*x9 + m19*x10 + m26*x11 + m33*x12 + m40*x13 + m47*x14; 593 x[12] -= m6*x8 + m13*x9 + m20*x10 + m27*x11 + m34*x12 + m41*x13 + m48*x14; 594 x[13] -= m7*x8 + m14*x9 + m21*x10 + m28*x11 + m35*x12 + m42*x13 + m49*x14; 595 596 x[14] -= m1*x15 + m8*x16 + m15*x17 + m22*x18 + m29*x19 + m36*x20 + m43*x21; 597 x[15] -= m2*x15 + m9*x16 + m16*x17 + m23*x18 + m30*x19 + m37*x20 + m44*x21; 598 x[16] -= m3*x15 + m10*x16 + m17*x17 + m24*x18 + m31*x19 + m38*x20 + m45*x21; 599 x[17] -= m4*x15 + m11*x16 + m18*x17 + m25*x18 + m32*x19 + m39*x20 + m46*x21; 600 x[18] -= m5*x15 + m12*x16 + m19*x17 + m26*x18 + m33*x19 + m40*x20 + m47*x21; 601 x[19] -= m6*x15 + m13*x16 + m20*x17 + m27*x18 + m34*x19 + m41*x20 + m48*x21; 602 x[20] -= m7*x15 + m14*x16 + m21*x17 + m28*x18 + m35*x19 + m42*x20 + m49*x21; 603 604 x[21] -= m1*x22 + m8*x23 + m15*x24 + m22*x25 + m29*x26 + m36*x27 + m43*x28; 605 x[22] -= m2*x22 + m9*x23 + m16*x24 + m23*x25 + m30*x26 + m37*x27 + m44*x28; 606 x[23] -= m3*x22 + m10*x23 + m17*x24 + m24*x25 + m31*x26 + m38*x27 + m45*x28; 607 x[24] -= m4*x22 + m11*x23 + m18*x24 + m25*x25 + m32*x26 + m39*x27 + m46*x28; 608 x[25] -= m5*x22 + m12*x23 + m19*x24 + m26*x25 + m33*x26 + m40*x27 + m47*x28; 609 x[26] -= m6*x22 + m13*x23 + m20*x24 + m27*x25 + m34*x26 + m41*x27 + m48*x28; 610 x[27] -= m7*x22 + m14*x23 + m21*x24 + m28*x25 + m35*x26 + m42*x27 + m49*x28; 611 612 x[28] -= m1*x29 + m8*x30 + m15*x31 + m22*x32 + m29*x33 + m36*x34 + m43*x35; 613 x[29] -= m2*x29 + m9*x30 + m16*x31 + m23*x32 + m30*x33 + m37*x34 + m44*x35; 614 x[30] -= m3*x29 + m10*x30 + m17*x31 + m24*x32 + m31*x33 + m38*x34 + m45*x35; 615 x[31] -= m4*x29 + m11*x30 + m18*x31 + m25*x32 + m32*x33 + m39*x34 + m46*x35; 616 x[32] -= m5*x29 + m12*x30 + m19*x31 + m26*x32 + m33*x33 + m40*x34 + m47*x35; 617 x[33] -= m6*x29 + m13*x30 + m20*x31 + m27*x32 + m34*x33 + m41*x34 + m48*x35; 618 x[34] -= m7*x29 + m14*x30 + m21*x31 + m28*x32 + m35*x33 + m42*x34 + m49*x35; 619 620 x[35] -= m1*x36 + m8*x37 + m15*x38 + m22*x39 + m29*x40 + m36*x41 + m43*x42; 621 x[36] -= m2*x36 + m9*x37 + m16*x38 + m23*x39 + m30*x40 + m37*x41 + m44*x42; 622 x[37] -= m3*x36 + m10*x37 + m17*x38 + m24*x39 + m31*x40 + m38*x41 + m45*x42; 623 x[38] -= m4*x36 + m11*x37 + m18*x38 + m25*x39 + m32*x40 + m39*x41 + m46*x42; 624 x[39] -= m5*x36 + m12*x37 + m19*x38 + m26*x39 + m33*x40 + m40*x41 + m47*x42; 625 x[40] -= m6*x36 + m13*x37 + m20*x38 + m27*x39 + m34*x40 + m41*x41 + m48*x42; 626 x[41] -= m7*x36 + m14*x37 + m21*x38 + m28*x39 + m35*x40 + m42*x41 + m49*x42; 627 628 x[42] -= m1*x43 + m8*x44 + m15*x45 + m22*x46 + m29*x47 + m36*x48 + m43*x49; 629 x[43] -= m2*x43 + m9*x44 + m16*x45 + m23*x46 + m30*x47 + m37*x48 + m44*x49; 630 x[44] -= m3*x43 + m10*x44 + m17*x45 + m24*x46 + m31*x47 + m38*x48 + m45*x49; 631 x[45] -= m4*x43 + m11*x44 + m18*x45 + m25*x46 + m32*x47 + m39*x48 + m46*x49; 632 x[46] -= m5*x43 + m12*x44 + m19*x45 + m26*x46 + m33*x47 + m40*x48 + m47*x49; 633 x[47] -= m6*x43 + m13*x44 + m20*x45 + m27*x46 + m34*x47 + m41*x48 + m48*x49; 634 x[48] -= m7*x43 + m14*x44 + m21*x45 + m28*x46 + m35*x47 + m42*x48 + m49*x49; 635 pv += 49; 636 } 637 PetscCall(PetscLogFlops(686.0*nz+637.0)); 638 } 639 row = *ajtmp++; 640 } 641 /* finished row so stick it into b->a */ 642 pv = ba + 49*bi[i]; 643 pj = bj + bi[i]; 644 nz = bi[i+1] - bi[i]; 645 for (j=0; j<nz; j++) { 646 x = rtmp+49*pj[j]; 647 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 648 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 649 pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 650 pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 651 pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 652 pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 653 pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 654 pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 655 pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 656 pv[36] = x[36]; pv[37] = x[37]; pv[38] = x[38]; pv[39] = x[39]; 657 pv[40] = x[40]; pv[41] = x[41]; pv[42] = x[42]; pv[43] = x[43]; 658 pv[44] = x[44]; pv[45] = x[45]; pv[46] = x[46]; pv[47] = x[47]; 659 pv[48] = x[48]; 660 pv += 49; 661 } 662 /* invert diagonal block */ 663 w = ba + 49*diag_offset[i]; 664 PetscCall(PetscKernel_A_gets_inverse_A_7(w,shift,allowzeropivot,&zeropivotdetected)); 665 if (zeropivotdetected) C->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 666 } 667 668 PetscCall(PetscFree(rtmp)); 669 670 C->ops->solve = MatSolve_SeqBAIJ_7_NaturalOrdering_inplace; 671 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_7_NaturalOrdering_inplace; 672 C->assembled = PETSC_TRUE; 673 674 PetscCall(PetscLogFlops(1.333333333333*7*7*7*b->mbs)); /* from inverting diagonal blocks */ 675 PetscFunctionReturn(0); 676 } 677 678 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering(Mat B,Mat A,const MatFactorInfo *info) 679 { 680 Mat C =B; 681 Mat_SeqBAIJ *a=(Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ*)C->data; 682 PetscInt i,j,k,nz,nzL,row; 683 const PetscInt n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j; 684 const PetscInt *ajtmp,*bjtmp,*bdiag=b->diag,*pj,bs2=a->bs2; 685 MatScalar *rtmp,*pc,*mwork,*v,*pv,*aa=a->a; 686 PetscInt flg; 687 PetscReal shift = info->shiftamount; 688 PetscBool allowzeropivot,zeropivotdetected; 689 690 PetscFunctionBegin; 691 allowzeropivot = PetscNot(A->erroriffailure); 692 693 /* generate work space needed by the factorization */ 694 PetscCall(PetscMalloc2(bs2*n,&rtmp,bs2,&mwork)); 695 PetscCall(PetscArrayzero(rtmp,bs2*n)); 696 697 for (i=0; i<n; i++) { 698 /* zero rtmp */ 699 /* L part */ 700 nz = bi[i+1] - bi[i]; 701 bjtmp = bj + bi[i]; 702 for (j=0; j<nz; j++) { 703 PetscCall(PetscArrayzero(rtmp+bs2*bjtmp[j],bs2)); 704 } 705 706 /* U part */ 707 nz = bdiag[i] - bdiag[i+1]; 708 bjtmp = bj + bdiag[i+1]+1; 709 for (j=0; j<nz; j++) { 710 PetscCall(PetscArrayzero(rtmp+bs2*bjtmp[j],bs2)); 711 } 712 713 /* load in initial (unfactored row) */ 714 nz = ai[i+1] - ai[i]; 715 ajtmp = aj + ai[i]; 716 v = aa + bs2*ai[i]; 717 for (j=0; j<nz; j++) { 718 PetscCall(PetscArraycpy(rtmp+bs2*ajtmp[j],v+bs2*j,bs2)); 719 } 720 721 /* elimination */ 722 bjtmp = bj + bi[i]; 723 nzL = bi[i+1] - bi[i]; 724 for (k=0; k < nzL; k++) { 725 row = bjtmp[k]; 726 pc = rtmp + bs2*row; 727 for (flg=0,j=0; j<bs2; j++) { 728 if (pc[j]!=0.0) { 729 flg = 1; 730 break; 731 } 732 } 733 if (flg) { 734 pv = b->a + bs2*bdiag[row]; 735 /* PetscKernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 736 PetscCall(PetscKernel_A_gets_A_times_B_7(pc,pv,mwork)); 737 738 pj = b->j + bdiag[row+1]+1; /* beginning of U(row,:) */ 739 pv = b->a + bs2*(bdiag[row+1]+1); 740 nz = bdiag[row] - bdiag[row+1] - 1; /* num of entries inU(row,:), excluding diag */ 741 for (j=0; j<nz; j++) { 742 /* PetscKernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 743 /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 744 v = rtmp + bs2*pj[j]; 745 PetscCall(PetscKernel_A_gets_A_minus_B_times_C_7(v,pc,pv)); 746 pv += bs2; 747 } 748 PetscCall(PetscLogFlops(686.0*nz+637)); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 749 } 750 } 751 752 /* finished row so stick it into b->a */ 753 /* L part */ 754 pv = b->a + bs2*bi[i]; 755 pj = b->j + bi[i]; 756 nz = bi[i+1] - bi[i]; 757 for (j=0; j<nz; j++) { 758 PetscCall(PetscArraycpy(pv+bs2*j,rtmp+bs2*pj[j],bs2)); 759 } 760 761 /* Mark diagonal and invert diagonal for simpler triangular solves */ 762 pv = b->a + bs2*bdiag[i]; 763 pj = b->j + bdiag[i]; 764 PetscCall(PetscArraycpy(pv,rtmp+bs2*pj[0],bs2)); 765 PetscCall(PetscKernel_A_gets_inverse_A_7(pv,shift,allowzeropivot,&zeropivotdetected)); 766 if (zeropivotdetected) C->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 767 768 /* U part */ 769 pv = b->a + bs2*(bdiag[i+1]+1); 770 pj = b->j + bdiag[i+1]+1; 771 nz = bdiag[i] - bdiag[i+1] - 1; 772 for (j=0; j<nz; j++) { 773 PetscCall(PetscArraycpy(pv+bs2*j,rtmp+bs2*pj[j],bs2)); 774 } 775 } 776 PetscCall(PetscFree2(rtmp,mwork)); 777 778 C->ops->solve = MatSolve_SeqBAIJ_7_NaturalOrdering; 779 C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_7_NaturalOrdering; 780 C->assembled = PETSC_TRUE; 781 782 PetscCall(PetscLogFlops(1.333333333333*7*7*7*n)); /* from inverting diagonal blocks */ 783 PetscFunctionReturn(0); 784 } 785