1be1d678aSKris Buschelman 283287d42SBarry Smith /* 383287d42SBarry Smith Factorization code for BAIJ format. 483287d42SBarry Smith */ 5c6db04a5SJed Brown #include <../src/mat/impls/baij/seq/baij.h> 6af0996ceSBarry Smith #include <petsc/private/kernels/blockinvert.h> 783287d42SBarry Smith 883287d42SBarry Smith /* ------------------------------------------------------------*/ 983287d42SBarry Smith /* 1083287d42SBarry Smith Version for when blocks are 6 by 6 1183287d42SBarry Smith */ 124a2ae208SSatish Balay #undef __FUNCT__ 1306e38f1dSHong Zhang #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_6_inplace" 1406e38f1dSHong Zhang PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_inplace(Mat C,Mat A,const MatFactorInfo *info) 1583287d42SBarry Smith { 1683287d42SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ*)C->data; 1783287d42SBarry Smith IS isrow = b->row,isicol = b->icol; 186849ba73SBarry Smith PetscErrorCode ierr; 195d0c19d7SBarry Smith const PetscInt *ajtmpold,*ajtmp,*diag_offset = b->diag,*r,*ic,*bi = b->i,*bj = b->j,*ai=a->i,*aj=a->j,*pj; 205d0c19d7SBarry Smith PetscInt nz,row,i,j,n = a->mbs,idx; 2183287d42SBarry Smith MatScalar *pv,*v,*rtmp,*pc,*w,*x; 2283287d42SBarry Smith MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 2383287d42SBarry Smith MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16; 2483287d42SBarry Smith MatScalar x17,x18,x19,x20,x21,x22,x23,x24,x25,p10,p11,p12,p13,p14; 2583287d42SBarry Smith MatScalar p15,p16,p17,p18,p19,p20,p21,p22,p23,p24,p25,m10,m11,m12; 2683287d42SBarry Smith MatScalar m13,m14,m15,m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 2783287d42SBarry Smith MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 2883287d42SBarry Smith MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 2983287d42SBarry Smith MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 3083287d42SBarry Smith MatScalar *ba = b->a,*aa = a->a; 31182b8fbaSHong Zhang PetscReal shift = info->shiftamount; 32*a455e926SHong Zhang PetscBool allowzeropivot,zeropivotdetected; 3383287d42SBarry Smith 3483287d42SBarry Smith PetscFunctionBegin; 3583287d42SBarry Smith ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 3683287d42SBarry Smith ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 37785e854fSJed Brown ierr = PetscMalloc1(36*(n+1),&rtmp);CHKERRQ(ierr); 3883287d42SBarry Smith 3983287d42SBarry Smith for (i=0; i<n; i++) { 4083287d42SBarry Smith nz = bi[i+1] - bi[i]; 4183287d42SBarry Smith ajtmp = bj + bi[i]; 4283287d42SBarry Smith for (j=0; j<nz; j++) { 4383287d42SBarry Smith x = rtmp+36*ajtmp[j]; 4483287d42SBarry Smith x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 4583287d42SBarry Smith x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 4683287d42SBarry Smith x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0; 4783287d42SBarry Smith x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0; 4883287d42SBarry Smith x[34] = x[35] = 0.0; 4983287d42SBarry Smith } 5083287d42SBarry Smith /* load in initial (unfactored row) */ 5183287d42SBarry Smith idx = r[i]; 5283287d42SBarry Smith nz = ai[idx+1] - ai[idx]; 5383287d42SBarry Smith ajtmpold = aj + ai[idx]; 5483287d42SBarry Smith v = aa + 36*ai[idx]; 5583287d42SBarry Smith for (j=0; j<nz; j++) { 5683287d42SBarry Smith x = rtmp+36*ic[ajtmpold[j]]; 5783287d42SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 5883287d42SBarry Smith x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 5983287d42SBarry Smith x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 6083287d42SBarry Smith x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 6183287d42SBarry Smith x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 6283287d42SBarry Smith x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 6383287d42SBarry Smith x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 6483287d42SBarry Smith x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 6583287d42SBarry Smith x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 6683287d42SBarry Smith v += 36; 6783287d42SBarry Smith } 6883287d42SBarry Smith row = *ajtmp++; 6983287d42SBarry Smith while (row < i) { 7083287d42SBarry Smith pc = rtmp + 36*row; 7183287d42SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 7283287d42SBarry Smith p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 7383287d42SBarry Smith p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 7483287d42SBarry Smith p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 7583287d42SBarry Smith p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 7683287d42SBarry Smith p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 7783287d42SBarry Smith p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 7883287d42SBarry Smith p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 7983287d42SBarry Smith p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 8083287d42SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 8183287d42SBarry Smith p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 8283287d42SBarry Smith p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 8383287d42SBarry Smith p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 8483287d42SBarry Smith p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 8583287d42SBarry Smith p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 8683287d42SBarry Smith p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 8783287d42SBarry Smith p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 8883287d42SBarry Smith p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0) { 8983287d42SBarry Smith pv = ba + 36*diag_offset[row]; 9083287d42SBarry Smith pj = bj + diag_offset[row] + 1; 9183287d42SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 9283287d42SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 9383287d42SBarry Smith x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 9483287d42SBarry Smith x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 9583287d42SBarry Smith x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 9683287d42SBarry Smith x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 9783287d42SBarry Smith x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 9883287d42SBarry Smith x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 9983287d42SBarry Smith x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 10083287d42SBarry Smith pc[0] = m1 = p1*x1 + p7*x2 + p13*x3 + p19*x4 + p25*x5 + p31*x6; 10183287d42SBarry Smith pc[1] = m2 = p2*x1 + p8*x2 + p14*x3 + p20*x4 + p26*x5 + p32*x6; 10283287d42SBarry Smith pc[2] = m3 = p3*x1 + p9*x2 + p15*x3 + p21*x4 + p27*x5 + p33*x6; 10383287d42SBarry Smith pc[3] = m4 = p4*x1 + p10*x2 + p16*x3 + p22*x4 + p28*x5 + p34*x6; 10483287d42SBarry Smith pc[4] = m5 = p5*x1 + p11*x2 + p17*x3 + p23*x4 + p29*x5 + p35*x6; 10583287d42SBarry Smith pc[5] = m6 = p6*x1 + p12*x2 + p18*x3 + p24*x4 + p30*x5 + p36*x6; 10683287d42SBarry Smith 10783287d42SBarry Smith pc[6] = m7 = p1*x7 + p7*x8 + p13*x9 + p19*x10 + p25*x11 + p31*x12; 10883287d42SBarry Smith pc[7] = m8 = p2*x7 + p8*x8 + p14*x9 + p20*x10 + p26*x11 + p32*x12; 10983287d42SBarry Smith pc[8] = m9 = p3*x7 + p9*x8 + p15*x9 + p21*x10 + p27*x11 + p33*x12; 11083287d42SBarry Smith pc[9] = m10 = p4*x7 + p10*x8 + p16*x9 + p22*x10 + p28*x11 + p34*x12; 11183287d42SBarry Smith pc[10] = m11 = p5*x7 + p11*x8 + p17*x9 + p23*x10 + p29*x11 + p35*x12; 11283287d42SBarry Smith pc[11] = m12 = p6*x7 + p12*x8 + p18*x9 + p24*x10 + p30*x11 + p36*x12; 11383287d42SBarry Smith 11483287d42SBarry Smith pc[12] = m13 = p1*x13 + p7*x14 + p13*x15 + p19*x16 + p25*x17 + p31*x18; 11583287d42SBarry Smith pc[13] = m14 = p2*x13 + p8*x14 + p14*x15 + p20*x16 + p26*x17 + p32*x18; 11683287d42SBarry Smith pc[14] = m15 = p3*x13 + p9*x14 + p15*x15 + p21*x16 + p27*x17 + p33*x18; 11783287d42SBarry Smith pc[15] = m16 = p4*x13 + p10*x14 + p16*x15 + p22*x16 + p28*x17 + p34*x18; 11883287d42SBarry Smith pc[16] = m17 = p5*x13 + p11*x14 + p17*x15 + p23*x16 + p29*x17 + p35*x18; 11983287d42SBarry Smith pc[17] = m18 = p6*x13 + p12*x14 + p18*x15 + p24*x16 + p30*x17 + p36*x18; 12083287d42SBarry Smith 12183287d42SBarry Smith pc[18] = m19 = p1*x19 + p7*x20 + p13*x21 + p19*x22 + p25*x23 + p31*x24; 12283287d42SBarry Smith pc[19] = m20 = p2*x19 + p8*x20 + p14*x21 + p20*x22 + p26*x23 + p32*x24; 12383287d42SBarry Smith pc[20] = m21 = p3*x19 + p9*x20 + p15*x21 + p21*x22 + p27*x23 + p33*x24; 12483287d42SBarry Smith pc[21] = m22 = p4*x19 + p10*x20 + p16*x21 + p22*x22 + p28*x23 + p34*x24; 12583287d42SBarry Smith pc[22] = m23 = p5*x19 + p11*x20 + p17*x21 + p23*x22 + p29*x23 + p35*x24; 12683287d42SBarry Smith pc[23] = m24 = p6*x19 + p12*x20 + p18*x21 + p24*x22 + p30*x23 + p36*x24; 12783287d42SBarry Smith 12883287d42SBarry Smith pc[24] = m25 = p1*x25 + p7*x26 + p13*x27 + p19*x28 + p25*x29 + p31*x30; 12983287d42SBarry Smith pc[25] = m26 = p2*x25 + p8*x26 + p14*x27 + p20*x28 + p26*x29 + p32*x30; 13083287d42SBarry Smith pc[26] = m27 = p3*x25 + p9*x26 + p15*x27 + p21*x28 + p27*x29 + p33*x30; 13183287d42SBarry Smith pc[27] = m28 = p4*x25 + p10*x26 + p16*x27 + p22*x28 + p28*x29 + p34*x30; 13283287d42SBarry Smith pc[28] = m29 = p5*x25 + p11*x26 + p17*x27 + p23*x28 + p29*x29 + p35*x30; 13383287d42SBarry Smith pc[29] = m30 = p6*x25 + p12*x26 + p18*x27 + p24*x28 + p30*x29 + p36*x30; 13483287d42SBarry Smith 13583287d42SBarry Smith pc[30] = m31 = p1*x31 + p7*x32 + p13*x33 + p19*x34 + p25*x35 + p31*x36; 13683287d42SBarry Smith pc[31] = m32 = p2*x31 + p8*x32 + p14*x33 + p20*x34 + p26*x35 + p32*x36; 13783287d42SBarry Smith pc[32] = m33 = p3*x31 + p9*x32 + p15*x33 + p21*x34 + p27*x35 + p33*x36; 13883287d42SBarry Smith pc[33] = m34 = p4*x31 + p10*x32 + p16*x33 + p22*x34 + p28*x35 + p34*x36; 13983287d42SBarry Smith pc[34] = m35 = p5*x31 + p11*x32 + p17*x33 + p23*x34 + p29*x35 + p35*x36; 14083287d42SBarry Smith pc[35] = m36 = p6*x31 + p12*x32 + p18*x33 + p24*x34 + p30*x35 + p36*x36; 14183287d42SBarry Smith 14283287d42SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 14383287d42SBarry Smith pv += 36; 14483287d42SBarry Smith for (j=0; j<nz; j++) { 14583287d42SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 14683287d42SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 14783287d42SBarry Smith x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 14883287d42SBarry Smith x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 14983287d42SBarry Smith x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 15083287d42SBarry Smith x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 15183287d42SBarry Smith x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 15283287d42SBarry Smith x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 15383287d42SBarry Smith x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 15483287d42SBarry Smith x = rtmp + 36*pj[j]; 15583287d42SBarry Smith x[0] -= m1*x1 + m7*x2 + m13*x3 + m19*x4 + m25*x5 + m31*x6; 15683287d42SBarry Smith x[1] -= m2*x1 + m8*x2 + m14*x3 + m20*x4 + m26*x5 + m32*x6; 15783287d42SBarry Smith x[2] -= m3*x1 + m9*x2 + m15*x3 + m21*x4 + m27*x5 + m33*x6; 15883287d42SBarry Smith x[3] -= m4*x1 + m10*x2 + m16*x3 + m22*x4 + m28*x5 + m34*x6; 15983287d42SBarry Smith x[4] -= m5*x1 + m11*x2 + m17*x3 + m23*x4 + m29*x5 + m35*x6; 16083287d42SBarry Smith x[5] -= m6*x1 + m12*x2 + m18*x3 + m24*x4 + m30*x5 + m36*x6; 16183287d42SBarry Smith 16283287d42SBarry Smith x[6] -= m1*x7 + m7*x8 + m13*x9 + m19*x10 + m25*x11 + m31*x12; 16383287d42SBarry Smith x[7] -= m2*x7 + m8*x8 + m14*x9 + m20*x10 + m26*x11 + m32*x12; 16483287d42SBarry Smith x[8] -= m3*x7 + m9*x8 + m15*x9 + m21*x10 + m27*x11 + m33*x12; 16583287d42SBarry Smith x[9] -= m4*x7 + m10*x8 + m16*x9 + m22*x10 + m28*x11 + m34*x12; 16683287d42SBarry Smith x[10] -= m5*x7 + m11*x8 + m17*x9 + m23*x10 + m29*x11 + m35*x12; 16783287d42SBarry Smith x[11] -= m6*x7 + m12*x8 + m18*x9 + m24*x10 + m30*x11 + m36*x12; 16883287d42SBarry Smith 16983287d42SBarry Smith x[12] -= m1*x13 + m7*x14 + m13*x15 + m19*x16 + m25*x17 + m31*x18; 17083287d42SBarry Smith x[13] -= m2*x13 + m8*x14 + m14*x15 + m20*x16 + m26*x17 + m32*x18; 17183287d42SBarry Smith x[14] -= m3*x13 + m9*x14 + m15*x15 + m21*x16 + m27*x17 + m33*x18; 17283287d42SBarry Smith x[15] -= m4*x13 + m10*x14 + m16*x15 + m22*x16 + m28*x17 + m34*x18; 17383287d42SBarry Smith x[16] -= m5*x13 + m11*x14 + m17*x15 + m23*x16 + m29*x17 + m35*x18; 17483287d42SBarry Smith x[17] -= m6*x13 + m12*x14 + m18*x15 + m24*x16 + m30*x17 + m36*x18; 17583287d42SBarry Smith 17683287d42SBarry Smith x[18] -= m1*x19 + m7*x20 + m13*x21 + m19*x22 + m25*x23 + m31*x24; 17783287d42SBarry Smith x[19] -= m2*x19 + m8*x20 + m14*x21 + m20*x22 + m26*x23 + m32*x24; 17883287d42SBarry Smith x[20] -= m3*x19 + m9*x20 + m15*x21 + m21*x22 + m27*x23 + m33*x24; 17983287d42SBarry Smith x[21] -= m4*x19 + m10*x20 + m16*x21 + m22*x22 + m28*x23 + m34*x24; 18083287d42SBarry Smith x[22] -= m5*x19 + m11*x20 + m17*x21 + m23*x22 + m29*x23 + m35*x24; 18183287d42SBarry Smith x[23] -= m6*x19 + m12*x20 + m18*x21 + m24*x22 + m30*x23 + m36*x24; 18283287d42SBarry Smith 18383287d42SBarry Smith x[24] -= m1*x25 + m7*x26 + m13*x27 + m19*x28 + m25*x29 + m31*x30; 18483287d42SBarry Smith x[25] -= m2*x25 + m8*x26 + m14*x27 + m20*x28 + m26*x29 + m32*x30; 18583287d42SBarry Smith x[26] -= m3*x25 + m9*x26 + m15*x27 + m21*x28 + m27*x29 + m33*x30; 18683287d42SBarry Smith x[27] -= m4*x25 + m10*x26 + m16*x27 + m22*x28 + m28*x29 + m34*x30; 18783287d42SBarry Smith x[28] -= m5*x25 + m11*x26 + m17*x27 + m23*x28 + m29*x29 + m35*x30; 18883287d42SBarry Smith x[29] -= m6*x25 + m12*x26 + m18*x27 + m24*x28 + m30*x29 + m36*x30; 18983287d42SBarry Smith 19083287d42SBarry Smith x[30] -= m1*x31 + m7*x32 + m13*x33 + m19*x34 + m25*x35 + m31*x36; 19183287d42SBarry Smith x[31] -= m2*x31 + m8*x32 + m14*x33 + m20*x34 + m26*x35 + m32*x36; 19283287d42SBarry Smith x[32] -= m3*x31 + m9*x32 + m15*x33 + m21*x34 + m27*x35 + m33*x36; 19383287d42SBarry Smith x[33] -= m4*x31 + m10*x32 + m16*x33 + m22*x34 + m28*x35 + m34*x36; 19483287d42SBarry Smith x[34] -= m5*x31 + m11*x32 + m17*x33 + m23*x34 + m29*x35 + m35*x36; 19583287d42SBarry Smith x[35] -= m6*x31 + m12*x32 + m18*x33 + m24*x34 + m30*x35 + m36*x36; 19683287d42SBarry Smith 19783287d42SBarry Smith pv += 36; 19883287d42SBarry Smith } 199dc0b31edSSatish Balay ierr = PetscLogFlops(432.0*nz+396.0);CHKERRQ(ierr); 20083287d42SBarry Smith } 20183287d42SBarry Smith row = *ajtmp++; 20283287d42SBarry Smith } 20383287d42SBarry Smith /* finished row so stick it into b->a */ 20483287d42SBarry Smith pv = ba + 36*bi[i]; 20583287d42SBarry Smith pj = bj + bi[i]; 20683287d42SBarry Smith nz = bi[i+1] - bi[i]; 20783287d42SBarry Smith for (j=0; j<nz; j++) { 20883287d42SBarry Smith x = rtmp+36*pj[j]; 20983287d42SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 21083287d42SBarry Smith pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 21183287d42SBarry Smith pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 21283287d42SBarry Smith pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 21383287d42SBarry Smith pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 21483287d42SBarry Smith pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 21583287d42SBarry Smith pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 21683287d42SBarry Smith pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 21783287d42SBarry Smith pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 21883287d42SBarry Smith pv += 36; 21983287d42SBarry Smith } 22083287d42SBarry Smith /* invert diagonal block */ 22183287d42SBarry Smith w = ba + 36*diag_offset[i]; 222*a455e926SHong Zhang allowzeropivot = PetscNot(A->erroriffailure); 223*a455e926SHong Zhang ierr = PetscKernel_A_gets_inverse_A_6(w,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr); 2242e92ee13SHong Zhang if (zeropivotdetected) C->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 22583287d42SBarry Smith } 22683287d42SBarry Smith 22783287d42SBarry Smith ierr = PetscFree(rtmp);CHKERRQ(ierr); 22883287d42SBarry Smith ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 22983287d42SBarry Smith ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 23026fbe8dcSKarl Rupp 23106e38f1dSHong Zhang C->ops->solve = MatSolve_SeqBAIJ_6_inplace; 23206e38f1dSHong Zhang C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_6_inplace; 23383287d42SBarry Smith C->assembled = PETSC_TRUE; 23426fbe8dcSKarl Rupp 235766f9fbaSBarry Smith ierr = PetscLogFlops(1.333333333333*6*6*6*b->mbs);CHKERRQ(ierr); /* from inverting diagonal blocks */ 23683287d42SBarry Smith PetscFunctionReturn(0); 23783287d42SBarry Smith } 238bef36659SShri Abhyankar 239bef36659SShri Abhyankar #undef __FUNCT__ 2404dd39f65SShri Abhyankar #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_6" 2414dd39f65SShri Abhyankar PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6(Mat B,Mat A,const MatFactorInfo *info) 242bef36659SShri Abhyankar { 243bef36659SShri Abhyankar Mat C = B; 244bef36659SShri Abhyankar Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ*)C->data; 245bef36659SShri Abhyankar IS isrow = b->row,isicol = b->icol; 246bef36659SShri Abhyankar PetscErrorCode ierr; 2475a586d82SBarry Smith const PetscInt *r,*ic; 248bbd65245SShri Abhyankar PetscInt i,j,k,nz,nzL,row; 249bbd65245SShri Abhyankar const PetscInt n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j; 250bbd65245SShri Abhyankar const PetscInt *ajtmp,*bjtmp,*bdiag=b->diag,*pj,bs2=a->bs2; 251bef36659SShri Abhyankar MatScalar *rtmp,*pc,*mwork,*v,*pv,*aa=a->a; 252bbd65245SShri Abhyankar PetscInt flg; 253182b8fbaSHong Zhang PetscReal shift = info->shiftamount; 254*a455e926SHong Zhang PetscBool allowzeropivot,zeropivotdetected; 255bef36659SShri Abhyankar 256bef36659SShri Abhyankar PetscFunctionBegin; 257bef36659SShri Abhyankar ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 258bef36659SShri Abhyankar ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 259bef36659SShri Abhyankar 260bef36659SShri Abhyankar /* generate work space needed by the factorization */ 261dcca6d9dSJed Brown ierr = PetscMalloc2(bs2*n,&rtmp,bs2,&mwork);CHKERRQ(ierr); 262bef36659SShri Abhyankar ierr = PetscMemzero(rtmp,bs2*n*sizeof(MatScalar));CHKERRQ(ierr); 263bef36659SShri Abhyankar 264bef36659SShri Abhyankar for (i=0; i<n; i++) { 265bef36659SShri Abhyankar /* zero rtmp */ 266bef36659SShri Abhyankar /* L part */ 267bef36659SShri Abhyankar nz = bi[i+1] - bi[i]; 268bef36659SShri Abhyankar bjtmp = bj + bi[i]; 269bef36659SShri Abhyankar for (j=0; j<nz; j++) { 270bef36659SShri Abhyankar ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 271bef36659SShri Abhyankar } 272bef36659SShri Abhyankar 273bef36659SShri Abhyankar /* U part */ 2746506fda5SShri Abhyankar nz = bdiag[i] - bdiag[i+1]; 2756506fda5SShri Abhyankar bjtmp = bj + bdiag[i+1]+1; 2766506fda5SShri Abhyankar for (j=0; j<nz; j++) { 2776506fda5SShri Abhyankar ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 2786506fda5SShri Abhyankar } 2796506fda5SShri Abhyankar 2806506fda5SShri Abhyankar /* load in initial (unfactored row) */ 2816506fda5SShri Abhyankar nz = ai[r[i]+1] - ai[r[i]]; 2826506fda5SShri Abhyankar ajtmp = aj + ai[r[i]]; 2836506fda5SShri Abhyankar v = aa + bs2*ai[r[i]]; 2846506fda5SShri Abhyankar for (j=0; j<nz; j++) { 2856506fda5SShri Abhyankar ierr = PetscMemcpy(rtmp+bs2*ic[ajtmp[j]],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr); 2866506fda5SShri Abhyankar } 2876506fda5SShri Abhyankar 2886506fda5SShri Abhyankar /* elimination */ 2896506fda5SShri Abhyankar bjtmp = bj + bi[i]; 2906506fda5SShri Abhyankar nzL = bi[i+1] - bi[i]; 2916506fda5SShri Abhyankar for (k=0; k < nzL; k++) { 2926506fda5SShri Abhyankar row = bjtmp[k]; 2936506fda5SShri Abhyankar pc = rtmp + bs2*row; 294c35f09e5SBarry Smith for (flg=0,j=0; j<bs2; j++) { 295c35f09e5SBarry Smith if (pc[j]!=0.0) { 296c35f09e5SBarry Smith flg = 1; 297c35f09e5SBarry Smith break; 298c35f09e5SBarry Smith } 299c35f09e5SBarry Smith } 3006506fda5SShri Abhyankar if (flg) { 3016506fda5SShri Abhyankar pv = b->a + bs2*bdiag[row]; 30296b95a6bSBarry Smith /* PetscKernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 30396b95a6bSBarry Smith ierr = PetscKernel_A_gets_A_times_B_6(pc,pv,mwork);CHKERRQ(ierr); 3046506fda5SShri Abhyankar 3056506fda5SShri Abhyankar pj = b->j + bdiag[row+1]+1; /* begining of U(row,:) */ 3066506fda5SShri Abhyankar pv = b->a + bs2*(bdiag[row+1]+1); 3076506fda5SShri Abhyankar nz = bdiag[row] - bdiag[row+1] - 1; /* num of entries inU(row,:), excluding diag */ 3086506fda5SShri Abhyankar for (j=0; j<nz; j++) { 30996b95a6bSBarry Smith /* PetscKernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 3106506fda5SShri Abhyankar /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 3116506fda5SShri Abhyankar v = rtmp + bs2*pj[j]; 31296b95a6bSBarry Smith ierr = PetscKernel_A_gets_A_minus_B_times_C_6(v,pc,pv);CHKERRQ(ierr); 3136506fda5SShri Abhyankar pv += bs2; 3146506fda5SShri Abhyankar } 3156506fda5SShri Abhyankar ierr = PetscLogFlops(432*nz+396);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 3166506fda5SShri Abhyankar } 3176506fda5SShri Abhyankar } 3186506fda5SShri Abhyankar 3196506fda5SShri Abhyankar /* finished row so stick it into b->a */ 3206506fda5SShri Abhyankar /* L part */ 3216506fda5SShri Abhyankar pv = b->a + bs2*bi[i]; 3226506fda5SShri Abhyankar pj = b->j + bi[i]; 3236506fda5SShri Abhyankar nz = bi[i+1] - bi[i]; 3246506fda5SShri Abhyankar for (j=0; j<nz; j++) { 3256506fda5SShri Abhyankar ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 3266506fda5SShri Abhyankar } 3276506fda5SShri Abhyankar 3286506fda5SShri Abhyankar /* Mark diagonal and invert diagonal for simplier triangular solves */ 3296506fda5SShri Abhyankar pv = b->a + bs2*bdiag[i]; 3306506fda5SShri Abhyankar pj = b->j + bdiag[i]; 3316506fda5SShri Abhyankar ierr = PetscMemcpy(pv,rtmp+bs2*pj[0],bs2*sizeof(MatScalar));CHKERRQ(ierr); 33296b95a6bSBarry Smith /* ierr = PetscKernel_A_gets_inverse_A(bs,pv,v_pivots,v_work);CHKERRQ(ierr); */ 333*a455e926SHong Zhang allowzeropivot = PetscNot(A->erroriffailure); 334*a455e926SHong Zhang ierr = PetscKernel_A_gets_inverse_A_6(pv,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr); 3352e92ee13SHong Zhang if (zeropivotdetected) C->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 3366506fda5SShri Abhyankar 3376506fda5SShri Abhyankar /* U part */ 3386506fda5SShri Abhyankar pv = b->a + bs2*(bdiag[i+1]+1); 3396506fda5SShri Abhyankar pj = b->j + bdiag[i+1]+1; 3406506fda5SShri Abhyankar nz = bdiag[i] - bdiag[i+1] - 1; 3416506fda5SShri Abhyankar for (j=0; j<nz; j++) { 3426506fda5SShri Abhyankar ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 3436506fda5SShri Abhyankar } 3446506fda5SShri Abhyankar } 3456506fda5SShri Abhyankar 34674ed9c26SBarry Smith ierr = PetscFree2(rtmp,mwork);CHKERRQ(ierr); 3476506fda5SShri Abhyankar ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 3486506fda5SShri Abhyankar ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 34926fbe8dcSKarl Rupp 3504dd39f65SShri Abhyankar C->ops->solve = MatSolve_SeqBAIJ_6; 3514dd39f65SShri Abhyankar C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_6; 3526506fda5SShri Abhyankar C->assembled = PETSC_TRUE; 35326fbe8dcSKarl Rupp 354766f9fbaSBarry Smith ierr = PetscLogFlops(1.333333333333*6*6*6*n);CHKERRQ(ierr); /* from inverting diagonal blocks */ 3556506fda5SShri Abhyankar PetscFunctionReturn(0); 3566506fda5SShri Abhyankar } 3576506fda5SShri Abhyankar 3586506fda5SShri Abhyankar #undef __FUNCT__ 35906e38f1dSHong Zhang #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering_inplace" 36006e38f1dSHong Zhang PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering_inplace(Mat C,Mat A,const MatFactorInfo *info) 361bef36659SShri Abhyankar { 362bef36659SShri Abhyankar Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ*)C->data; 363bef36659SShri Abhyankar PetscErrorCode ierr; 364bef36659SShri Abhyankar PetscInt i,j,n = a->mbs,*bi = b->i,*bj = b->j; 365bef36659SShri Abhyankar PetscInt *ajtmpold,*ajtmp,nz,row; 366bef36659SShri Abhyankar PetscInt *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 367bef36659SShri Abhyankar MatScalar *pv,*v,*rtmp,*pc,*w,*x; 368bef36659SShri Abhyankar MatScalar x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15; 369bef36659SShri Abhyankar MatScalar x16,x17,x18,x19,x20,x21,x22,x23,x24,x25; 370bef36659SShri Abhyankar MatScalar p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15; 371bef36659SShri Abhyankar MatScalar p16,p17,p18,p19,p20,p21,p22,p23,p24,p25; 372bef36659SShri Abhyankar MatScalar m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15; 373bef36659SShri Abhyankar MatScalar m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 374bef36659SShri Abhyankar MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 375bef36659SShri Abhyankar MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 376bef36659SShri Abhyankar MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 377bef36659SShri Abhyankar MatScalar *ba = b->a,*aa = a->a; 378182b8fbaSHong Zhang PetscReal shift = info->shiftamount; 379*a455e926SHong Zhang PetscBool allowzeropivot,zeropivotdetected; 380bef36659SShri Abhyankar 381bef36659SShri Abhyankar PetscFunctionBegin; 382785e854fSJed Brown ierr = PetscMalloc1(36*(n+1),&rtmp);CHKERRQ(ierr); 383bef36659SShri Abhyankar for (i=0; i<n; i++) { 384bef36659SShri Abhyankar nz = bi[i+1] - bi[i]; 385bef36659SShri Abhyankar ajtmp = bj + bi[i]; 386bef36659SShri Abhyankar for (j=0; j<nz; j++) { 387bef36659SShri Abhyankar x = rtmp+36*ajtmp[j]; 388bef36659SShri Abhyankar x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 389bef36659SShri Abhyankar x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 390bef36659SShri Abhyankar x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0; 391bef36659SShri Abhyankar x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0; 392bef36659SShri Abhyankar x[34] = x[35] = 0.0; 393bef36659SShri Abhyankar } 394bef36659SShri Abhyankar /* load in initial (unfactored row) */ 395bef36659SShri Abhyankar nz = ai[i+1] - ai[i]; 396bef36659SShri Abhyankar ajtmpold = aj + ai[i]; 397bef36659SShri Abhyankar v = aa + 36*ai[i]; 398bef36659SShri Abhyankar for (j=0; j<nz; j++) { 399bef36659SShri Abhyankar x = rtmp+36*ajtmpold[j]; 400bef36659SShri Abhyankar x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 401bef36659SShri Abhyankar x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 402bef36659SShri Abhyankar x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 403bef36659SShri Abhyankar x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 404bef36659SShri Abhyankar x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 405bef36659SShri Abhyankar x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 406bef36659SShri Abhyankar x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 407bef36659SShri Abhyankar x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 408bef36659SShri Abhyankar x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 409bef36659SShri Abhyankar v += 36; 410bef36659SShri Abhyankar } 411bef36659SShri Abhyankar row = *ajtmp++; 412bef36659SShri Abhyankar while (row < i) { 413bef36659SShri Abhyankar pc = rtmp + 36*row; 414bef36659SShri Abhyankar p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 415bef36659SShri Abhyankar p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 416bef36659SShri Abhyankar p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 417bef36659SShri Abhyankar p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 418bef36659SShri Abhyankar p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 419bef36659SShri Abhyankar p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 420bef36659SShri Abhyankar p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 421bef36659SShri Abhyankar p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 422bef36659SShri Abhyankar p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 423bef36659SShri Abhyankar if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 424bef36659SShri Abhyankar p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 425bef36659SShri Abhyankar p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 426bef36659SShri Abhyankar p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 427bef36659SShri Abhyankar p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 428bef36659SShri Abhyankar p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 429bef36659SShri Abhyankar p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 430bef36659SShri Abhyankar p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 431bef36659SShri Abhyankar p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0) { 432bef36659SShri Abhyankar pv = ba + 36*diag_offset[row]; 433bef36659SShri Abhyankar pj = bj + diag_offset[row] + 1; 434bef36659SShri Abhyankar x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 435bef36659SShri Abhyankar x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 436bef36659SShri Abhyankar x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 437bef36659SShri Abhyankar x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 438bef36659SShri Abhyankar x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 439bef36659SShri Abhyankar x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 440bef36659SShri Abhyankar x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 441bef36659SShri Abhyankar x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 442bef36659SShri Abhyankar x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 443bef36659SShri Abhyankar pc[0] = m1 = p1*x1 + p7*x2 + p13*x3 + p19*x4 + p25*x5 + p31*x6; 444bef36659SShri Abhyankar pc[1] = m2 = p2*x1 + p8*x2 + p14*x3 + p20*x4 + p26*x5 + p32*x6; 445bef36659SShri Abhyankar pc[2] = m3 = p3*x1 + p9*x2 + p15*x3 + p21*x4 + p27*x5 + p33*x6; 446bef36659SShri Abhyankar pc[3] = m4 = p4*x1 + p10*x2 + p16*x3 + p22*x4 + p28*x5 + p34*x6; 447bef36659SShri Abhyankar pc[4] = m5 = p5*x1 + p11*x2 + p17*x3 + p23*x4 + p29*x5 + p35*x6; 448bef36659SShri Abhyankar pc[5] = m6 = p6*x1 + p12*x2 + p18*x3 + p24*x4 + p30*x5 + p36*x6; 449bef36659SShri Abhyankar 450bef36659SShri Abhyankar pc[6] = m7 = p1*x7 + p7*x8 + p13*x9 + p19*x10 + p25*x11 + p31*x12; 451bef36659SShri Abhyankar pc[7] = m8 = p2*x7 + p8*x8 + p14*x9 + p20*x10 + p26*x11 + p32*x12; 452bef36659SShri Abhyankar pc[8] = m9 = p3*x7 + p9*x8 + p15*x9 + p21*x10 + p27*x11 + p33*x12; 453bef36659SShri Abhyankar pc[9] = m10 = p4*x7 + p10*x8 + p16*x9 + p22*x10 + p28*x11 + p34*x12; 454bef36659SShri Abhyankar pc[10] = m11 = p5*x7 + p11*x8 + p17*x9 + p23*x10 + p29*x11 + p35*x12; 455bef36659SShri Abhyankar pc[11] = m12 = p6*x7 + p12*x8 + p18*x9 + p24*x10 + p30*x11 + p36*x12; 456bef36659SShri Abhyankar 457bef36659SShri Abhyankar pc[12] = m13 = p1*x13 + p7*x14 + p13*x15 + p19*x16 + p25*x17 + p31*x18; 458bef36659SShri Abhyankar pc[13] = m14 = p2*x13 + p8*x14 + p14*x15 + p20*x16 + p26*x17 + p32*x18; 459bef36659SShri Abhyankar pc[14] = m15 = p3*x13 + p9*x14 + p15*x15 + p21*x16 + p27*x17 + p33*x18; 460bef36659SShri Abhyankar pc[15] = m16 = p4*x13 + p10*x14 + p16*x15 + p22*x16 + p28*x17 + p34*x18; 461bef36659SShri Abhyankar pc[16] = m17 = p5*x13 + p11*x14 + p17*x15 + p23*x16 + p29*x17 + p35*x18; 462bef36659SShri Abhyankar pc[17] = m18 = p6*x13 + p12*x14 + p18*x15 + p24*x16 + p30*x17 + p36*x18; 463bef36659SShri Abhyankar 464bef36659SShri Abhyankar pc[18] = m19 = p1*x19 + p7*x20 + p13*x21 + p19*x22 + p25*x23 + p31*x24; 465bef36659SShri Abhyankar pc[19] = m20 = p2*x19 + p8*x20 + p14*x21 + p20*x22 + p26*x23 + p32*x24; 466bef36659SShri Abhyankar pc[20] = m21 = p3*x19 + p9*x20 + p15*x21 + p21*x22 + p27*x23 + p33*x24; 467bef36659SShri Abhyankar pc[21] = m22 = p4*x19 + p10*x20 + p16*x21 + p22*x22 + p28*x23 + p34*x24; 468bef36659SShri Abhyankar pc[22] = m23 = p5*x19 + p11*x20 + p17*x21 + p23*x22 + p29*x23 + p35*x24; 469bef36659SShri Abhyankar pc[23] = m24 = p6*x19 + p12*x20 + p18*x21 + p24*x22 + p30*x23 + p36*x24; 470bef36659SShri Abhyankar 471bef36659SShri Abhyankar pc[24] = m25 = p1*x25 + p7*x26 + p13*x27 + p19*x28 + p25*x29 + p31*x30; 472bef36659SShri Abhyankar pc[25] = m26 = p2*x25 + p8*x26 + p14*x27 + p20*x28 + p26*x29 + p32*x30; 473bef36659SShri Abhyankar pc[26] = m27 = p3*x25 + p9*x26 + p15*x27 + p21*x28 + p27*x29 + p33*x30; 474bef36659SShri Abhyankar pc[27] = m28 = p4*x25 + p10*x26 + p16*x27 + p22*x28 + p28*x29 + p34*x30; 475bef36659SShri Abhyankar pc[28] = m29 = p5*x25 + p11*x26 + p17*x27 + p23*x28 + p29*x29 + p35*x30; 476bef36659SShri Abhyankar pc[29] = m30 = p6*x25 + p12*x26 + p18*x27 + p24*x28 + p30*x29 + p36*x30; 477bef36659SShri Abhyankar 478bef36659SShri Abhyankar pc[30] = m31 = p1*x31 + p7*x32 + p13*x33 + p19*x34 + p25*x35 + p31*x36; 479bef36659SShri Abhyankar pc[31] = m32 = p2*x31 + p8*x32 + p14*x33 + p20*x34 + p26*x35 + p32*x36; 480bef36659SShri Abhyankar pc[32] = m33 = p3*x31 + p9*x32 + p15*x33 + p21*x34 + p27*x35 + p33*x36; 481bef36659SShri Abhyankar pc[33] = m34 = p4*x31 + p10*x32 + p16*x33 + p22*x34 + p28*x35 + p34*x36; 482bef36659SShri Abhyankar pc[34] = m35 = p5*x31 + p11*x32 + p17*x33 + p23*x34 + p29*x35 + p35*x36; 483bef36659SShri Abhyankar pc[35] = m36 = p6*x31 + p12*x32 + p18*x33 + p24*x34 + p30*x35 + p36*x36; 484bef36659SShri Abhyankar 485bef36659SShri Abhyankar nz = bi[row+1] - diag_offset[row] - 1; 486bef36659SShri Abhyankar pv += 36; 487bef36659SShri Abhyankar for (j=0; j<nz; j++) { 488bef36659SShri Abhyankar x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 489bef36659SShri Abhyankar x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 490bef36659SShri Abhyankar x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 491bef36659SShri Abhyankar x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 492bef36659SShri Abhyankar x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 493bef36659SShri Abhyankar x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 494bef36659SShri Abhyankar x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 495bef36659SShri Abhyankar x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 496bef36659SShri Abhyankar x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 497bef36659SShri Abhyankar x = rtmp + 36*pj[j]; 498bef36659SShri Abhyankar x[0] -= m1*x1 + m7*x2 + m13*x3 + m19*x4 + m25*x5 + m31*x6; 499bef36659SShri Abhyankar x[1] -= m2*x1 + m8*x2 + m14*x3 + m20*x4 + m26*x5 + m32*x6; 500bef36659SShri Abhyankar x[2] -= m3*x1 + m9*x2 + m15*x3 + m21*x4 + m27*x5 + m33*x6; 501bef36659SShri Abhyankar x[3] -= m4*x1 + m10*x2 + m16*x3 + m22*x4 + m28*x5 + m34*x6; 502bef36659SShri Abhyankar x[4] -= m5*x1 + m11*x2 + m17*x3 + m23*x4 + m29*x5 + m35*x6; 503bef36659SShri Abhyankar x[5] -= m6*x1 + m12*x2 + m18*x3 + m24*x4 + m30*x5 + m36*x6; 504bef36659SShri Abhyankar 505bef36659SShri Abhyankar x[6] -= m1*x7 + m7*x8 + m13*x9 + m19*x10 + m25*x11 + m31*x12; 506bef36659SShri Abhyankar x[7] -= m2*x7 + m8*x8 + m14*x9 + m20*x10 + m26*x11 + m32*x12; 507bef36659SShri Abhyankar x[8] -= m3*x7 + m9*x8 + m15*x9 + m21*x10 + m27*x11 + m33*x12; 508bef36659SShri Abhyankar x[9] -= m4*x7 + m10*x8 + m16*x9 + m22*x10 + m28*x11 + m34*x12; 509bef36659SShri Abhyankar x[10] -= m5*x7 + m11*x8 + m17*x9 + m23*x10 + m29*x11 + m35*x12; 510bef36659SShri Abhyankar x[11] -= m6*x7 + m12*x8 + m18*x9 + m24*x10 + m30*x11 + m36*x12; 511bef36659SShri Abhyankar 512bef36659SShri Abhyankar x[12] -= m1*x13 + m7*x14 + m13*x15 + m19*x16 + m25*x17 + m31*x18; 513bef36659SShri Abhyankar x[13] -= m2*x13 + m8*x14 + m14*x15 + m20*x16 + m26*x17 + m32*x18; 514bef36659SShri Abhyankar x[14] -= m3*x13 + m9*x14 + m15*x15 + m21*x16 + m27*x17 + m33*x18; 515bef36659SShri Abhyankar x[15] -= m4*x13 + m10*x14 + m16*x15 + m22*x16 + m28*x17 + m34*x18; 516bef36659SShri Abhyankar x[16] -= m5*x13 + m11*x14 + m17*x15 + m23*x16 + m29*x17 + m35*x18; 517bef36659SShri Abhyankar x[17] -= m6*x13 + m12*x14 + m18*x15 + m24*x16 + m30*x17 + m36*x18; 518bef36659SShri Abhyankar 519bef36659SShri Abhyankar x[18] -= m1*x19 + m7*x20 + m13*x21 + m19*x22 + m25*x23 + m31*x24; 520bef36659SShri Abhyankar x[19] -= m2*x19 + m8*x20 + m14*x21 + m20*x22 + m26*x23 + m32*x24; 521bef36659SShri Abhyankar x[20] -= m3*x19 + m9*x20 + m15*x21 + m21*x22 + m27*x23 + m33*x24; 522bef36659SShri Abhyankar x[21] -= m4*x19 + m10*x20 + m16*x21 + m22*x22 + m28*x23 + m34*x24; 523bef36659SShri Abhyankar x[22] -= m5*x19 + m11*x20 + m17*x21 + m23*x22 + m29*x23 + m35*x24; 524bef36659SShri Abhyankar x[23] -= m6*x19 + m12*x20 + m18*x21 + m24*x22 + m30*x23 + m36*x24; 525bef36659SShri Abhyankar 526bef36659SShri Abhyankar x[24] -= m1*x25 + m7*x26 + m13*x27 + m19*x28 + m25*x29 + m31*x30; 527bef36659SShri Abhyankar x[25] -= m2*x25 + m8*x26 + m14*x27 + m20*x28 + m26*x29 + m32*x30; 528bef36659SShri Abhyankar x[26] -= m3*x25 + m9*x26 + m15*x27 + m21*x28 + m27*x29 + m33*x30; 529bef36659SShri Abhyankar x[27] -= m4*x25 + m10*x26 + m16*x27 + m22*x28 + m28*x29 + m34*x30; 530bef36659SShri Abhyankar x[28] -= m5*x25 + m11*x26 + m17*x27 + m23*x28 + m29*x29 + m35*x30; 531bef36659SShri Abhyankar x[29] -= m6*x25 + m12*x26 + m18*x27 + m24*x28 + m30*x29 + m36*x30; 532bef36659SShri Abhyankar 533bef36659SShri Abhyankar x[30] -= m1*x31 + m7*x32 + m13*x33 + m19*x34 + m25*x35 + m31*x36; 534bef36659SShri Abhyankar x[31] -= m2*x31 + m8*x32 + m14*x33 + m20*x34 + m26*x35 + m32*x36; 535bef36659SShri Abhyankar x[32] -= m3*x31 + m9*x32 + m15*x33 + m21*x34 + m27*x35 + m33*x36; 536bef36659SShri Abhyankar x[33] -= m4*x31 + m10*x32 + m16*x33 + m22*x34 + m28*x35 + m34*x36; 537bef36659SShri Abhyankar x[34] -= m5*x31 + m11*x32 + m17*x33 + m23*x34 + m29*x35 + m35*x36; 538bef36659SShri Abhyankar x[35] -= m6*x31 + m12*x32 + m18*x33 + m24*x34 + m30*x35 + m36*x36; 539bef36659SShri Abhyankar 540bef36659SShri Abhyankar pv += 36; 541bef36659SShri Abhyankar } 542bef36659SShri Abhyankar ierr = PetscLogFlops(432.0*nz+396.0);CHKERRQ(ierr); 543bef36659SShri Abhyankar } 544bef36659SShri Abhyankar row = *ajtmp++; 545bef36659SShri Abhyankar } 546bef36659SShri Abhyankar /* finished row so stick it into b->a */ 547bef36659SShri Abhyankar pv = ba + 36*bi[i]; 548bef36659SShri Abhyankar pj = bj + bi[i]; 549bef36659SShri Abhyankar nz = bi[i+1] - bi[i]; 550bef36659SShri Abhyankar for (j=0; j<nz; j++) { 551bef36659SShri Abhyankar x = rtmp+36*pj[j]; 552bef36659SShri Abhyankar pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 553bef36659SShri Abhyankar pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 554bef36659SShri Abhyankar pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 555bef36659SShri Abhyankar pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 556bef36659SShri Abhyankar pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 557bef36659SShri Abhyankar pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 558bef36659SShri Abhyankar pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 559bef36659SShri Abhyankar pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 560bef36659SShri Abhyankar pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 561bef36659SShri Abhyankar pv += 36; 562bef36659SShri Abhyankar } 563bef36659SShri Abhyankar /* invert diagonal block */ 564bef36659SShri Abhyankar w = ba + 36*diag_offset[i]; 565*a455e926SHong Zhang allowzeropivot = PetscNot(A->erroriffailure); 566*a455e926SHong Zhang ierr = PetscKernel_A_gets_inverse_A_6(w,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr); 5672e92ee13SHong Zhang if (zeropivotdetected) C->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 568bef36659SShri Abhyankar } 569bef36659SShri Abhyankar 570bef36659SShri Abhyankar ierr = PetscFree(rtmp);CHKERRQ(ierr); 57126fbe8dcSKarl Rupp 57206e38f1dSHong Zhang C->ops->solve = MatSolve_SeqBAIJ_6_NaturalOrdering_inplace; 57306e38f1dSHong Zhang C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_6_NaturalOrdering_inplace; 574bef36659SShri Abhyankar C->assembled = PETSC_TRUE; 57526fbe8dcSKarl Rupp 576766f9fbaSBarry Smith ierr = PetscLogFlops(1.333333333333*6*6*6*b->mbs);CHKERRQ(ierr); /* from inverting diagonal blocks */ 577bef36659SShri Abhyankar PetscFunctionReturn(0); 578bef36659SShri Abhyankar } 579bef36659SShri Abhyankar 580bef36659SShri Abhyankar #undef __FUNCT__ 5814dd39f65SShri Abhyankar #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering" 5824dd39f65SShri Abhyankar PetscErrorCode MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering(Mat B,Mat A,const MatFactorInfo *info) 583bef36659SShri Abhyankar { 584bef36659SShri Abhyankar Mat C =B; 585bef36659SShri Abhyankar Mat_SeqBAIJ *a=(Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ*)C->data; 586bef36659SShri Abhyankar PetscErrorCode ierr; 587bbd65245SShri Abhyankar PetscInt i,j,k,nz,nzL,row; 588bbd65245SShri Abhyankar const PetscInt n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j; 589bbd65245SShri Abhyankar const PetscInt *ajtmp,*bjtmp,*bdiag=b->diag,*pj,bs2=a->bs2; 590bef36659SShri Abhyankar MatScalar *rtmp,*pc,*mwork,*v,*pv,*aa=a->a; 591bbd65245SShri Abhyankar PetscInt flg; 592182b8fbaSHong Zhang PetscReal shift = info->shiftamount; 593*a455e926SHong Zhang PetscBool allowzeropivot,zeropivotdetected; 594bef36659SShri Abhyankar 595bef36659SShri Abhyankar PetscFunctionBegin; 596bef36659SShri Abhyankar /* generate work space needed by the factorization */ 597dcca6d9dSJed Brown ierr = PetscMalloc2(bs2*n,&rtmp,bs2,&mwork);CHKERRQ(ierr); 598bef36659SShri Abhyankar ierr = PetscMemzero(rtmp,bs2*n*sizeof(MatScalar));CHKERRQ(ierr); 599bef36659SShri Abhyankar 600bef36659SShri Abhyankar for (i=0; i<n; i++) { 601bef36659SShri Abhyankar /* zero rtmp */ 602bef36659SShri Abhyankar /* L part */ 603bef36659SShri Abhyankar nz = bi[i+1] - bi[i]; 604bef36659SShri Abhyankar bjtmp = bj + bi[i]; 605bef36659SShri Abhyankar for (j=0; j<nz; j++) { 606bef36659SShri Abhyankar ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 607bef36659SShri Abhyankar } 608bef36659SShri Abhyankar 609bef36659SShri Abhyankar /* U part */ 61053cca76cSShri Abhyankar nz = bdiag[i] - bdiag[i+1]; 61153cca76cSShri Abhyankar bjtmp = bj + bdiag[i+1]+1; 61253cca76cSShri Abhyankar for (j=0; j<nz; j++) { 61353cca76cSShri Abhyankar ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 61453cca76cSShri Abhyankar } 61553cca76cSShri Abhyankar 61653cca76cSShri Abhyankar /* load in initial (unfactored row) */ 61753cca76cSShri Abhyankar nz = ai[i+1] - ai[i]; 61853cca76cSShri Abhyankar ajtmp = aj + ai[i]; 61953cca76cSShri Abhyankar v = aa + bs2*ai[i]; 62053cca76cSShri Abhyankar for (j=0; j<nz; j++) { 62153cca76cSShri Abhyankar ierr = PetscMemcpy(rtmp+bs2*ajtmp[j],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr); 62253cca76cSShri Abhyankar } 62353cca76cSShri Abhyankar 62453cca76cSShri Abhyankar /* elimination */ 62553cca76cSShri Abhyankar bjtmp = bj + bi[i]; 62653cca76cSShri Abhyankar nzL = bi[i+1] - bi[i]; 62753cca76cSShri Abhyankar for (k=0; k < nzL; k++) { 62853cca76cSShri Abhyankar row = bjtmp[k]; 62953cca76cSShri Abhyankar pc = rtmp + bs2*row; 630c35f09e5SBarry Smith for (flg=0,j=0; j<bs2; j++) { 631c35f09e5SBarry Smith if (pc[j]!=0.0) { 632c35f09e5SBarry Smith flg = 1; 633c35f09e5SBarry Smith break; 634c35f09e5SBarry Smith } 635c35f09e5SBarry Smith } 63653cca76cSShri Abhyankar if (flg) { 63753cca76cSShri Abhyankar pv = b->a + bs2*bdiag[row]; 63896b95a6bSBarry Smith /* PetscKernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */ 63996b95a6bSBarry Smith ierr = PetscKernel_A_gets_A_times_B_6(pc,pv,mwork);CHKERRQ(ierr); 64053cca76cSShri Abhyankar 64153cca76cSShri Abhyankar pj = b->j + bdiag[row+1]+1; /* begining of U(row,:) */ 64253cca76cSShri Abhyankar pv = b->a + bs2*(bdiag[row+1]+1); 64353cca76cSShri Abhyankar nz = bdiag[row] - bdiag[row+1] - 1; /* num of entries inU(row,:), excluding diag */ 64453cca76cSShri Abhyankar for (j=0; j<nz; j++) { 64596b95a6bSBarry Smith /* PetscKernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */ 64653cca76cSShri Abhyankar /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */ 64753cca76cSShri Abhyankar v = rtmp + bs2*pj[j]; 64896b95a6bSBarry Smith ierr = PetscKernel_A_gets_A_minus_B_times_C_6(v,pc,pv);CHKERRQ(ierr); 64953cca76cSShri Abhyankar pv += bs2; 65053cca76cSShri Abhyankar } 65153cca76cSShri Abhyankar ierr = PetscLogFlops(432*nz+396);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */ 65253cca76cSShri Abhyankar } 65353cca76cSShri Abhyankar } 65453cca76cSShri Abhyankar 65553cca76cSShri Abhyankar /* finished row so stick it into b->a */ 65653cca76cSShri Abhyankar /* L part */ 65753cca76cSShri Abhyankar pv = b->a + bs2*bi[i]; 65853cca76cSShri Abhyankar pj = b->j + bi[i]; 65953cca76cSShri Abhyankar nz = bi[i+1] - bi[i]; 66053cca76cSShri Abhyankar for (j=0; j<nz; j++) { 66153cca76cSShri Abhyankar ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 66253cca76cSShri Abhyankar } 66353cca76cSShri Abhyankar 66453cca76cSShri Abhyankar /* Mark diagonal and invert diagonal for simplier triangular solves */ 66553cca76cSShri Abhyankar pv = b->a + bs2*bdiag[i]; 66653cca76cSShri Abhyankar pj = b->j + bdiag[i]; 66753cca76cSShri Abhyankar ierr = PetscMemcpy(pv,rtmp+bs2*pj[0],bs2*sizeof(MatScalar));CHKERRQ(ierr); 66896b95a6bSBarry Smith /* ierr = PetscKernel_A_gets_inverse_A(bs,pv,v_pivots,v_work);CHKERRQ(ierr); */ 669*a455e926SHong Zhang allowzeropivot = PetscNot(A->erroriffailure); 670*a455e926SHong Zhang ierr = PetscKernel_A_gets_inverse_A_6(pv,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr); 6712e92ee13SHong Zhang if (zeropivotdetected) C->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 67253cca76cSShri Abhyankar 67353cca76cSShri Abhyankar /* U part */ 67453cca76cSShri Abhyankar pv = b->a + bs2*(bdiag[i+1]+1); 67553cca76cSShri Abhyankar pj = b->j + bdiag[i+1]+1; 67653cca76cSShri Abhyankar nz = bdiag[i] - bdiag[i+1] - 1; 67753cca76cSShri Abhyankar for (j=0; j<nz; j++) { 67853cca76cSShri Abhyankar ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 67953cca76cSShri Abhyankar } 68053cca76cSShri Abhyankar } 68174ed9c26SBarry Smith ierr = PetscFree2(rtmp,mwork);CHKERRQ(ierr); 68226fbe8dcSKarl Rupp 6834dd39f65SShri Abhyankar C->ops->solve = MatSolve_SeqBAIJ_6_NaturalOrdering; 6844dd39f65SShri Abhyankar C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_6_NaturalOrdering; 68553cca76cSShri Abhyankar C->assembled = PETSC_TRUE; 68626fbe8dcSKarl Rupp 687766f9fbaSBarry Smith ierr = PetscLogFlops(1.333333333333*6*6*6*n);CHKERRQ(ierr); /* from inverting diagonal blocks */ 68853cca76cSShri Abhyankar PetscFunctionReturn(0); 68953cca76cSShri Abhyankar } 690