1 /* 2 Factorization code for BAIJ format. 3 */ 4 #include "src/mat/impls/baij/seq/baij.h" 5 #include "src/inline/ilu.h" 6 7 /* ------------------------------------------------------------*/ 8 /* 9 Version for when blocks are 5 by 5 10 */ 11 #undef __FUNCT__ 12 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_5" 13 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_5(Mat A,Mat *B) 14 { 15 Mat C = *B; 16 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 17 IS isrow = b->row,isicol = b->icol; 18 PetscErrorCode ierr; 19 int *r,*ic,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 20 int *ajtmpold,*ajtmp,nz,row; 21 int *diag_offset = b->diag,idx,*ai=a->i,*aj=a->j,*pj; 22 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 23 MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 24 MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16; 25 MatScalar x17,x18,x19,x20,x21,x22,x23,x24,x25,p10,p11,p12,p13,p14; 26 MatScalar p15,p16,p17,p18,p19,p20,p21,p22,p23,p24,p25,m10,m11,m12; 27 MatScalar m13,m14,m15,m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 28 MatScalar *ba = b->a,*aa = a->a; 29 30 PetscFunctionBegin; 31 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 32 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 33 ierr = PetscMalloc(25*(n+1)*sizeof(MatScalar),&rtmp);CHKERRQ(ierr); 34 35 for (i=0; i<n; i++) { 36 nz = bi[i+1] - bi[i]; 37 ajtmp = bj + bi[i]; 38 for (j=0; j<nz; j++) { 39 x = rtmp+25*ajtmp[j]; 40 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 41 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 42 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = 0.0; 43 } 44 /* load in initial (unfactored row) */ 45 idx = r[i]; 46 nz = ai[idx+1] - ai[idx]; 47 ajtmpold = aj + ai[idx]; 48 v = aa + 25*ai[idx]; 49 for (j=0; j<nz; j++) { 50 x = rtmp+25*ic[ajtmpold[j]]; 51 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 52 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 53 x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; x[12] = v[12]; x[13] = v[13]; 54 x[14] = v[14]; x[15] = v[15]; x[16] = v[16]; x[17] = v[17]; 55 x[18] = v[18]; x[19] = v[19]; x[20] = v[20]; x[21] = v[21]; 56 x[22] = v[22]; x[23] = v[23]; x[24] = v[24]; 57 v += 25; 58 } 59 row = *ajtmp++; 60 while (row < i) { 61 pc = rtmp + 25*row; 62 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 63 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 64 p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; p13 = pc[12]; p14 = pc[13]; 65 p15 = pc[14]; p16 = pc[15]; p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; 66 p20 = pc[19]; p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 67 p25 = pc[24]; 68 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 69 p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 || 70 p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0 71 || p16 != 0.0 || p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || 72 p20 != 0.0 || p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || 73 p24 != 0.0 || p25 != 0.0) { 74 pv = ba + 25*diag_offset[row]; 75 pj = bj + diag_offset[row] + 1; 76 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 77 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 78 x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; x14 = pv[13]; 79 x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; x18 = pv[17]; 80 x19 = pv[18]; x20 = pv[19]; x21 = pv[20]; x22 = pv[21]; 81 x23 = pv[22]; x24 = pv[23]; x25 = pv[24]; 82 pc[0] = m1 = p1*x1 + p6*x2 + p11*x3 + p16*x4 + p21*x5; 83 pc[1] = m2 = p2*x1 + p7*x2 + p12*x3 + p17*x4 + p22*x5; 84 pc[2] = m3 = p3*x1 + p8*x2 + p13*x3 + p18*x4 + p23*x5; 85 pc[3] = m4 = p4*x1 + p9*x2 + p14*x3 + p19*x4 + p24*x5; 86 pc[4] = m5 = p5*x1 + p10*x2 + p15*x3 + p20*x4 + p25*x5; 87 88 pc[5] = m6 = p1*x6 + p6*x7 + p11*x8 + p16*x9 + p21*x10; 89 pc[6] = m7 = p2*x6 + p7*x7 + p12*x8 + p17*x9 + p22*x10; 90 pc[7] = m8 = p3*x6 + p8*x7 + p13*x8 + p18*x9 + p23*x10; 91 pc[8] = m9 = p4*x6 + p9*x7 + p14*x8 + p19*x9 + p24*x10; 92 pc[9] = m10 = p5*x6 + p10*x7 + p15*x8 + p20*x9 + p25*x10; 93 94 pc[10] = m11 = p1*x11 + p6*x12 + p11*x13 + p16*x14 + p21*x15; 95 pc[11] = m12 = p2*x11 + p7*x12 + p12*x13 + p17*x14 + p22*x15; 96 pc[12] = m13 = p3*x11 + p8*x12 + p13*x13 + p18*x14 + p23*x15; 97 pc[13] = m14 = p4*x11 + p9*x12 + p14*x13 + p19*x14 + p24*x15; 98 pc[14] = m15 = p5*x11 + p10*x12 + p15*x13 + p20*x14 + p25*x15; 99 100 pc[15] = m16 = p1*x16 + p6*x17 + p11*x18 + p16*x19 + p21*x20; 101 pc[16] = m17 = p2*x16 + p7*x17 + p12*x18 + p17*x19 + p22*x20; 102 pc[17] = m18 = p3*x16 + p8*x17 + p13*x18 + p18*x19 + p23*x20; 103 pc[18] = m19 = p4*x16 + p9*x17 + p14*x18 + p19*x19 + p24*x20; 104 pc[19] = m20 = p5*x16 + p10*x17 + p15*x18 + p20*x19 + p25*x20; 105 106 pc[20] = m21 = p1*x21 + p6*x22 + p11*x23 + p16*x24 + p21*x25; 107 pc[21] = m22 = p2*x21 + p7*x22 + p12*x23 + p17*x24 + p22*x25; 108 pc[22] = m23 = p3*x21 + p8*x22 + p13*x23 + p18*x24 + p23*x25; 109 pc[23] = m24 = p4*x21 + p9*x22 + p14*x23 + p19*x24 + p24*x25; 110 pc[24] = m25 = p5*x21 + p10*x22 + p15*x23 + p20*x24 + p25*x25; 111 112 nz = bi[row+1] - diag_offset[row] - 1; 113 pv += 25; 114 for (j=0; j<nz; j++) { 115 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 116 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 117 x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; 118 x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; 119 x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; x21 = pv[20]; 120 x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; x25 = pv[24]; 121 x = rtmp + 25*pj[j]; 122 x[0] -= m1*x1 + m6*x2 + m11*x3 + m16*x4 + m21*x5; 123 x[1] -= m2*x1 + m7*x2 + m12*x3 + m17*x4 + m22*x5; 124 x[2] -= m3*x1 + m8*x2 + m13*x3 + m18*x4 + m23*x5; 125 x[3] -= m4*x1 + m9*x2 + m14*x3 + m19*x4 + m24*x5; 126 x[4] -= m5*x1 + m10*x2 + m15*x3 + m20*x4 + m25*x5; 127 128 x[5] -= m1*x6 + m6*x7 + m11*x8 + m16*x9 + m21*x10; 129 x[6] -= m2*x6 + m7*x7 + m12*x8 + m17*x9 + m22*x10; 130 x[7] -= m3*x6 + m8*x7 + m13*x8 + m18*x9 + m23*x10; 131 x[8] -= m4*x6 + m9*x7 + m14*x8 + m19*x9 + m24*x10; 132 x[9] -= m5*x6 + m10*x7 + m15*x8 + m20*x9 + m25*x10; 133 134 x[10] -= m1*x11 + m6*x12 + m11*x13 + m16*x14 + m21*x15; 135 x[11] -= m2*x11 + m7*x12 + m12*x13 + m17*x14 + m22*x15; 136 x[12] -= m3*x11 + m8*x12 + m13*x13 + m18*x14 + m23*x15; 137 x[13] -= m4*x11 + m9*x12 + m14*x13 + m19*x14 + m24*x15; 138 x[14] -= m5*x11 + m10*x12 + m15*x13 + m20*x14 + m25*x15; 139 140 x[15] -= m1*x16 + m6*x17 + m11*x18 + m16*x19 + m21*x20; 141 x[16] -= m2*x16 + m7*x17 + m12*x18 + m17*x19 + m22*x20; 142 x[17] -= m3*x16 + m8*x17 + m13*x18 + m18*x19 + m23*x20; 143 x[18] -= m4*x16 + m9*x17 + m14*x18 + m19*x19 + m24*x20; 144 x[19] -= m5*x16 + m10*x17 + m15*x18 + m20*x19 + m25*x20; 145 146 x[20] -= m1*x21 + m6*x22 + m11*x23 + m16*x24 + m21*x25; 147 x[21] -= m2*x21 + m7*x22 + m12*x23 + m17*x24 + m22*x25; 148 x[22] -= m3*x21 + m8*x22 + m13*x23 + m18*x24 + m23*x25; 149 x[23] -= m4*x21 + m9*x22 + m14*x23 + m19*x24 + m24*x25; 150 x[24] -= m5*x21 + m10*x22 + m15*x23 + m20*x24 + m25*x25; 151 152 pv += 25; 153 } 154 PetscLogFlops(250*nz+225); 155 } 156 row = *ajtmp++; 157 } 158 /* finished row so stick it into b->a */ 159 pv = ba + 25*bi[i]; 160 pj = bj + bi[i]; 161 nz = bi[i+1] - bi[i]; 162 for (j=0; j<nz; j++) { 163 x = rtmp+25*pj[j]; 164 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 165 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 166 pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; pv[12] = x[12]; 167 pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; pv[16] = x[16]; 168 pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; pv[20] = x[20]; 169 pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; pv[24] = x[24]; 170 pv += 25; 171 } 172 /* invert diagonal block */ 173 w = ba + 25*diag_offset[i]; 174 ierr = Kernel_A_gets_inverse_A_5(w);CHKERRQ(ierr); 175 } 176 177 ierr = PetscFree(rtmp);CHKERRQ(ierr); 178 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 179 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 180 C->factor = FACTOR_LU; 181 C->assembled = PETSC_TRUE; 182 PetscLogFlops(1.3333*125*b->mbs); /* from inverting diagonal blocks */ 183 PetscFunctionReturn(0); 184 } 185