xref: /petsc/src/mat/impls/baij/seq/baijfact5.c (revision 35aa4fcf62f8e6f9997ee9ceb96d3f6e04530fe4)
1 #define PETSCMAT_DLL
2 
3 /*
4     Factorization code for BAIJ format.
5 */
6 #include "../src/mat/impls/baij/seq/baij.h"
7 #include "../src/mat/blockinvert.h"
8 /*
9       Version for when blocks are 7 by 7
10 */
11 #undef __FUNCT__
12 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_7"
13 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7(Mat C,Mat A,const MatFactorInfo *info)
14 {
15   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data;
16   IS             isrow = b->row,isicol = b->icol;
17   PetscErrorCode ierr;
18   const PetscInt *r,*ic,*bi = b->i,*bj = b->j,*ajtmp,*diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj,*ajtmpold;
19   PetscInt       i,j,n = a->mbs,nz,row,idx;
20   MatScalar      *pv,*v,*rtmp,*pc,*w,*x;
21   MatScalar      p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4;
22   MatScalar      p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16;
23   MatScalar      x17,x18,x19,x20,x21,x22,x23,x24,x25,p10,p11,p12,p13,p14;
24   MatScalar      p15,p16,p17,p18,p19,p20,p21,p22,p23,p24,p25,m10,m11,m12;
25   MatScalar      m13,m14,m15,m16,m17,m18,m19,m20,m21,m22,m23,m24,m25;
26   MatScalar      p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36;
27   MatScalar      p37,p38,p39,p40,p41,p42,p43,p44,p45,p46,p47,p48,p49;
28   MatScalar      x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36;
29   MatScalar      x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49;
30   MatScalar      m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36;
31   MatScalar      m37,m38,m39,m40,m41,m42,m43,m44,m45,m46,m47,m48,m49;
32   MatScalar      *ba = b->a,*aa = a->a;
33   PetscReal      shift = info->shiftinblocks;
34 
35   PetscFunctionBegin;
36   ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr);
37   ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr);
38   ierr = PetscMalloc(49*(n+1)*sizeof(MatScalar),&rtmp);CHKERRQ(ierr);
39 
40   for (i=0; i<n; i++) {
41     nz    = bi[i+1] - bi[i];
42     ajtmp = bj + bi[i];
43     for  (j=0; j<nz; j++) {
44       x = rtmp+49*ajtmp[j];
45       x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0;
46       x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0;
47       x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0 ;
48       x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0 ;
49       x[34] = x[35] = x[36] = x[37] = x[38] = x[39] = x[40] = x[41] = 0.0 ;
50       x[42] = x[43] = x[44] = x[45] = x[46] = x[47] = x[48] = 0.0 ;
51     }
52     /* load in initial (unfactored row) */
53     idx      = r[i];
54     nz       = ai[idx+1] - ai[idx];
55     ajtmpold = aj + ai[idx];
56     v        = aa + 49*ai[idx];
57     for (j=0; j<nz; j++) {
58       x    = rtmp+49*ic[ajtmpold[j]];
59       x[0] =  v[0];  x[1] =  v[1];  x[2] =  v[2];  x[3] =  v[3];
60       x[4] =  v[4];  x[5] =  v[5];  x[6] =  v[6];  x[7] =  v[7];
61       x[8] =  v[8];  x[9] =  v[9];  x[10] = v[10]; x[11] = v[11];
62       x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15];
63       x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19];
64       x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23];
65       x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27];
66       x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31];
67       x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35];
68       x[36] = v[36]; x[37] = v[37]; x[38] = v[38]; x[39] = v[39];
69       x[40] = v[40]; x[41] = v[41]; x[42] = v[42]; x[43] = v[43];
70       x[44] = v[44]; x[45] = v[45]; x[46] = v[46]; x[47] = v[47];
71       x[48] = v[48];
72       v    += 49;
73     }
74     row = *ajtmp++;
75     while (row < i) {
76       pc  =  rtmp + 49*row;
77       p1  = pc[0];  p2  = pc[1];  p3  = pc[2];  p4  = pc[3];
78       p5  = pc[4];  p6  = pc[5];  p7  = pc[6];  p8  = pc[7];
79       p9  = pc[8];  p10 = pc[9];  p11 = pc[10]; p12 = pc[11];
80       p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15];
81       p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19];
82       p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23];
83       p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27];
84       p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31];
85       p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35];
86       p37 = pc[36]; p38 = pc[37]; p39 = pc[38]; p40 = pc[39];
87       p41 = pc[40]; p42 = pc[41]; p43 = pc[42]; p44 = pc[43];
88       p45 = pc[44]; p46 = pc[45]; p47 = pc[46]; p48 = pc[47];
89       p49 = pc[48];
90       if (p1  != 0.0 || p2  != 0.0 || p3  != 0.0 || p4  != 0.0 ||
91           p5  != 0.0 || p6  != 0.0 || p7  != 0.0 || p8  != 0.0 ||
92           p9  != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 ||
93           p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 ||
94           p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 ||
95           p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 ||
96           p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 ||
97           p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 ||
98           p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0 ||
99           p37 != 0.0 || p38 != 0.0 || p39 != 0.0 || p40 != 0.0 ||
100           p41 != 0.0 || p42 != 0.0 || p43 != 0.0 || p44 != 0.0 ||
101           p45 != 0.0 || p46 != 0.0 || p47 != 0.0 || p48 != 0.0 ||
102           p49 != 0.0) {
103         pv = ba + 49*diag_offset[row];
104         pj = bj + diag_offset[row] + 1;
105 	x1  = pv[0];  x2  = pv[1];  x3  = pv[2];  x4  = pv[3];
106 	x5  = pv[4];  x6  = pv[5];  x7  = pv[6];  x8  = pv[7];
107 	x9  = pv[8];  x10 = pv[9];  x11 = pv[10]; x12 = pv[11];
108 	x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15];
109 	x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19];
110 	x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23];
111 	x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27];
112 	x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31];
113 	x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35];
114 	x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39];
115 	x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43];
116 	x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47];
117 	x49 = pv[48];
118         pc[0]  = m1  = p1*x1  + p8*x2   + p15*x3  + p22*x4  + p29*x5  + p36*x6 + p43*x7;
119         pc[1]  = m2  = p2*x1  + p9*x2   + p16*x3  + p23*x4  + p30*x5  + p37*x6 + p44*x7;
120         pc[2]  = m3  = p3*x1  + p10*x2  + p17*x3  + p24*x4  + p31*x5  + p38*x6 + p45*x7;
121         pc[3]  = m4  = p4*x1  + p11*x2  + p18*x3  + p25*x4  + p32*x5  + p39*x6 + p46*x7;
122         pc[4]  = m5  = p5*x1  + p12*x2  + p19*x3  + p26*x4  + p33*x5  + p40*x6 + p47*x7;
123         pc[5]  = m6  = p6*x1  + p13*x2  + p20*x3  + p27*x4  + p34*x5  + p41*x6 + p48*x7;
124         pc[6]  = m7  = p7*x1  + p14*x2  + p21*x3  + p28*x4  + p35*x5  + p42*x6 + p49*x7;
125 
126         pc[7]  = m8  = p1*x8  + p8*x9   + p15*x10 + p22*x11 + p29*x12 + p36*x13 + p43*x14;
127         pc[8]  = m9  = p2*x8  + p9*x9   + p16*x10 + p23*x11 + p30*x12 + p37*x13 + p44*x14;
128         pc[9]  = m10 = p3*x8  + p10*x9  + p17*x10 + p24*x11 + p31*x12 + p38*x13 + p45*x14;
129         pc[10] = m11 = p4*x8  + p11*x9  + p18*x10 + p25*x11 + p32*x12 + p39*x13 + p46*x14;
130         pc[11] = m12 = p5*x8  + p12*x9  + p19*x10 + p26*x11 + p33*x12 + p40*x13 + p47*x14;
131         pc[12] = m13 = p6*x8  + p13*x9  + p20*x10 + p27*x11 + p34*x12 + p41*x13 + p48*x14;
132         pc[13] = m14 = p7*x8  + p14*x9  + p21*x10 + p28*x11 + p35*x12 + p42*x13 + p49*x14;
133 
134         pc[14] = m15 = p1*x15 + p8*x16  + p15*x17 + p22*x18 + p29*x19 + p36*x20 + p43*x21;
135         pc[15] = m16 = p2*x15 + p9*x16  + p16*x17 + p23*x18 + p30*x19 + p37*x20 + p44*x21;
136         pc[16] = m17 = p3*x15 + p10*x16 + p17*x17 + p24*x18 + p31*x19 + p38*x20 + p45*x21;
137         pc[17] = m18 = p4*x15 + p11*x16 + p18*x17 + p25*x18 + p32*x19 + p39*x20 + p46*x21;
138         pc[18] = m19 = p5*x15 + p12*x16 + p19*x17 + p26*x18 + p33*x19 + p40*x20 + p47*x21;
139         pc[19] = m20 = p6*x15 + p13*x16 + p20*x17 + p27*x18 + p34*x19 + p41*x20 + p48*x21;
140         pc[20] = m21 = p7*x15 + p14*x16 + p21*x17 + p28*x18 + p35*x19 + p42*x20 + p49*x21;
141 
142         pc[21] = m22 = p1*x22 + p8*x23  + p15*x24 + p22*x25 + p29*x26 + p36*x27 + p43*x28;
143         pc[22] = m23 = p2*x22 + p9*x23  + p16*x24 + p23*x25 + p30*x26 + p37*x27 + p44*x28;
144         pc[23] = m24 = p3*x22 + p10*x23 + p17*x24 + p24*x25 + p31*x26 + p38*x27 + p45*x28;
145         pc[24] = m25 = p4*x22 + p11*x23 + p18*x24 + p25*x25 + p32*x26 + p39*x27 + p46*x28;
146         pc[25] = m26 = p5*x22 + p12*x23 + p19*x24 + p26*x25 + p33*x26 + p40*x27 + p47*x28;
147         pc[26] = m27 = p6*x22 + p13*x23 + p20*x24 + p27*x25 + p34*x26 + p41*x27 + p48*x28;
148         pc[27] = m28 = p7*x22 + p14*x23 + p21*x24 + p28*x25 + p35*x26 + p42*x27 + p49*x28;
149 
150         pc[28] = m29 = p1*x29 + p8*x30  + p15*x31 + p22*x32 + p29*x33 + p36*x34 + p43*x35;
151         pc[29] = m30 = p2*x29 + p9*x30  + p16*x31 + p23*x32 + p30*x33 + p37*x34 + p44*x35;
152         pc[30] = m31 = p3*x29 + p10*x30 + p17*x31 + p24*x32 + p31*x33 + p38*x34 + p45*x35;
153         pc[31] = m32 = p4*x29 + p11*x30 + p18*x31 + p25*x32 + p32*x33 + p39*x34 + p46*x35;
154         pc[32] = m33 = p5*x29 + p12*x30 + p19*x31 + p26*x32 + p33*x33 + p40*x34 + p47*x35;
155         pc[33] = m34 = p6*x29 + p13*x30 + p20*x31 + p27*x32 + p34*x33 + p41*x34 + p48*x35;
156         pc[34] = m35 = p7*x29 + p14*x30 + p21*x31 + p28*x32 + p35*x33 + p42*x34 + p49*x35;
157 
158         pc[35] = m36 = p1*x36 + p8*x37  + p15*x38 + p22*x39 + p29*x40 + p36*x41 + p43*x42;
159         pc[36] = m37 = p2*x36 + p9*x37  + p16*x38 + p23*x39 + p30*x40 + p37*x41 + p44*x42;
160         pc[37] = m38 = p3*x36 + p10*x37 + p17*x38 + p24*x39 + p31*x40 + p38*x41 + p45*x42;
161         pc[38] = m39 = p4*x36 + p11*x37 + p18*x38 + p25*x39 + p32*x40 + p39*x41 + p46*x42;
162         pc[39] = m40 = p5*x36 + p12*x37 + p19*x38 + p26*x39 + p33*x40 + p40*x41 + p47*x42;
163         pc[40] = m41 = p6*x36 + p13*x37 + p20*x38 + p27*x39 + p34*x40 + p41*x41 + p48*x42;
164         pc[41] = m42 = p7*x36 + p14*x37 + p21*x38 + p28*x39 + p35*x40 + p42*x41 + p49*x42;
165 
166         pc[42] = m43 = p1*x43 + p8*x44  + p15*x45 + p22*x46 + p29*x47 + p36*x48 + p43*x49;
167         pc[43] = m44 = p2*x43 + p9*x44  + p16*x45 + p23*x46 + p30*x47 + p37*x48 + p44*x49;
168         pc[44] = m45 = p3*x43 + p10*x44 + p17*x45 + p24*x46 + p31*x47 + p38*x48 + p45*x49;
169         pc[45] = m46 = p4*x43 + p11*x44 + p18*x45 + p25*x46 + p32*x47 + p39*x48 + p46*x49;
170         pc[46] = m47 = p5*x43 + p12*x44 + p19*x45 + p26*x46 + p33*x47 + p40*x48 + p47*x49;
171         pc[47] = m48 = p6*x43 + p13*x44 + p20*x45 + p27*x46 + p34*x47 + p41*x48 + p48*x49;
172         pc[48] = m49 = p7*x43 + p14*x44 + p21*x45 + p28*x46 + p35*x47 + p42*x48 + p49*x49;
173 
174         nz = bi[row+1] - diag_offset[row] - 1;
175         pv += 49;
176         for (j=0; j<nz; j++) {
177 	  x1  = pv[0];  x2  = pv[1];  x3  = pv[2];  x4  = pv[3];
178 	  x5  = pv[4];  x6  = pv[5];  x7  = pv[6];  x8  = pv[7];
179 	  x9  = pv[8];  x10 = pv[9];  x11 = pv[10]; x12 = pv[11];
180 	  x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15];
181 	  x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19];
182 	  x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23];
183 	  x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27];
184 	  x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31];
185 	  x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35];
186 	  x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39];
187 	  x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43];
188 	  x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47];
189 	  x49 = pv[48];
190 	  x    = rtmp + 49*pj[j];
191 	  x[0]  -= m1*x1  + m8*x2   + m15*x3  + m22*x4  + m29*x5  + m36*x6 + m43*x7;
192 	  x[1]  -= m2*x1  + m9*x2   + m16*x3  + m23*x4  + m30*x5  + m37*x6 + m44*x7;
193 	  x[2]  -= m3*x1  + m10*x2  + m17*x3  + m24*x4  + m31*x5  + m38*x6 + m45*x7;
194 	  x[3]  -= m4*x1  + m11*x2  + m18*x3  + m25*x4  + m32*x5  + m39*x6 + m46*x7;
195 	  x[4]  -= m5*x1  + m12*x2  + m19*x3  + m26*x4  + m33*x5  + m40*x6 + m47*x7;
196 	  x[5]  -= m6*x1  + m13*x2  + m20*x3  + m27*x4  + m34*x5  + m41*x6 + m48*x7;
197 	  x[6]  -= m7*x1  + m14*x2  + m21*x3  + m28*x4  + m35*x5  + m42*x6 + m49*x7;
198 
199 	  x[7]  -= m1*x8  + m8*x9   + m15*x10 + m22*x11 + m29*x12 + m36*x13 + m43*x14;
200 	  x[8]  -= m2*x8  + m9*x9   + m16*x10 + m23*x11 + m30*x12 + m37*x13 + m44*x14;
201 	  x[9]  -= m3*x8  + m10*x9  + m17*x10 + m24*x11 + m31*x12 + m38*x13 + m45*x14;
202 	  x[10] -= m4*x8  + m11*x9  + m18*x10 + m25*x11 + m32*x12 + m39*x13 + m46*x14;
203 	  x[11] -= m5*x8  + m12*x9  + m19*x10 + m26*x11 + m33*x12 + m40*x13 + m47*x14;
204 	  x[12] -= m6*x8  + m13*x9  + m20*x10 + m27*x11 + m34*x12 + m41*x13 + m48*x14;
205 	  x[13] -= m7*x8  + m14*x9  + m21*x10 + m28*x11 + m35*x12 + m42*x13 + m49*x14;
206 
207 	  x[14] -= m1*x15 + m8*x16  + m15*x17 + m22*x18 + m29*x19 + m36*x20 + m43*x21;
208 	  x[15] -= m2*x15 + m9*x16  + m16*x17 + m23*x18 + m30*x19 + m37*x20 + m44*x21;
209 	  x[16] -= m3*x15 + m10*x16 + m17*x17 + m24*x18 + m31*x19 + m38*x20 + m45*x21;
210 	  x[17] -= m4*x15 + m11*x16 + m18*x17 + m25*x18 + m32*x19 + m39*x20 + m46*x21;
211 	  x[18] -= m5*x15 + m12*x16 + m19*x17 + m26*x18 + m33*x19 + m40*x20 + m47*x21;
212 	  x[19] -= m6*x15 + m13*x16 + m20*x17 + m27*x18 + m34*x19 + m41*x20 + m48*x21;
213 	  x[20] -= m7*x15 + m14*x16 + m21*x17 + m28*x18 + m35*x19 + m42*x20 + m49*x21;
214 
215 	  x[21] -= m1*x22 + m8*x23  + m15*x24 + m22*x25 + m29*x26 + m36*x27 + m43*x28;
216 	  x[22] -= m2*x22 + m9*x23  + m16*x24 + m23*x25 + m30*x26 + m37*x27 + m44*x28;
217 	  x[23] -= m3*x22 + m10*x23 + m17*x24 + m24*x25 + m31*x26 + m38*x27 + m45*x28;
218 	  x[24] -= m4*x22 + m11*x23 + m18*x24 + m25*x25 + m32*x26 + m39*x27 + m46*x28;
219 	  x[25] -= m5*x22 + m12*x23 + m19*x24 + m26*x25 + m33*x26 + m40*x27 + m47*x28;
220 	  x[26] -= m6*x22 + m13*x23 + m20*x24 + m27*x25 + m34*x26 + m41*x27 + m48*x28;
221 	  x[27] -= m7*x22 + m14*x23 + m21*x24 + m28*x25 + m35*x26 + m42*x27 + m49*x28;
222 
223 	  x[28] -= m1*x29 + m8*x30  + m15*x31 + m22*x32 + m29*x33 + m36*x34 + m43*x35;
224 	  x[29] -= m2*x29 + m9*x30  + m16*x31 + m23*x32 + m30*x33 + m37*x34 + m44*x35;
225 	  x[30] -= m3*x29 + m10*x30 + m17*x31 + m24*x32 + m31*x33 + m38*x34 + m45*x35;
226 	  x[31] -= m4*x29 + m11*x30 + m18*x31 + m25*x32 + m32*x33 + m39*x34 + m46*x35;
227 	  x[32] -= m5*x29 + m12*x30 + m19*x31 + m26*x32 + m33*x33 + m40*x34 + m47*x35;
228 	  x[33] -= m6*x29 + m13*x30 + m20*x31 + m27*x32 + m34*x33 + m41*x34 + m48*x35;
229 	  x[34] -= m7*x29 + m14*x30 + m21*x31 + m28*x32 + m35*x33 + m42*x34 + m49*x35;
230 
231 	  x[35] -= m1*x36 + m8*x37  + m15*x38 + m22*x39 + m29*x40 + m36*x41 + m43*x42;
232 	  x[36] -= m2*x36 + m9*x37  + m16*x38 + m23*x39 + m30*x40 + m37*x41 + m44*x42;
233 	  x[37] -= m3*x36 + m10*x37 + m17*x38 + m24*x39 + m31*x40 + m38*x41 + m45*x42;
234 	  x[38] -= m4*x36 + m11*x37 + m18*x38 + m25*x39 + m32*x40 + m39*x41 + m46*x42;
235 	  x[39] -= m5*x36 + m12*x37 + m19*x38 + m26*x39 + m33*x40 + m40*x41 + m47*x42;
236 	  x[40] -= m6*x36 + m13*x37 + m20*x38 + m27*x39 + m34*x40 + m41*x41 + m48*x42;
237 	  x[41] -= m7*x36 + m14*x37 + m21*x38 + m28*x39 + m35*x40 + m42*x41 + m49*x42;
238 
239 	  x[42] -= m1*x43 + m8*x44  + m15*x45 + m22*x46 + m29*x47 + m36*x48 + m43*x49;
240 	  x[43] -= m2*x43 + m9*x44  + m16*x45 + m23*x46 + m30*x47 + m37*x48 + m44*x49;
241 	  x[44] -= m3*x43 + m10*x44 + m17*x45 + m24*x46 + m31*x47 + m38*x48 + m45*x49;
242 	  x[45] -= m4*x43 + m11*x44 + m18*x45 + m25*x46 + m32*x47 + m39*x48 + m46*x49;
243 	  x[46] -= m5*x43 + m12*x44 + m19*x45 + m26*x46 + m33*x47 + m40*x48 + m47*x49;
244 	  x[47] -= m6*x43 + m13*x44 + m20*x45 + m27*x46 + m34*x47 + m41*x48 + m48*x49;
245 	  x[48] -= m7*x43 + m14*x44 + m21*x45 + m28*x46 + m35*x47 + m42*x48 + m49*x49;
246           pv   += 49;
247         }
248         ierr = PetscLogFlops(686.0*nz+637.0);CHKERRQ(ierr);
249       }
250       row = *ajtmp++;
251     }
252     /* finished row so stick it into b->a */
253     pv = ba + 49*bi[i];
254     pj = bj + bi[i];
255     nz = bi[i+1] - bi[i];
256     for (j=0; j<nz; j++) {
257       x      = rtmp+49*pj[j];
258       pv[0]  = x[0];  pv[1]  = x[1];  pv[2]  = x[2];  pv[3]  = x[3];
259       pv[4]  = x[4];  pv[5]  = x[5];  pv[6]  = x[6];  pv[7]  = x[7];
260       pv[8]  = x[8];  pv[9]  = x[9];  pv[10] = x[10]; pv[11] = x[11];
261       pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15];
262       pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19];
263       pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23];
264       pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27];
265       pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31];
266       pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35];
267       pv[36] = x[36]; pv[37] = x[37]; pv[38] = x[38]; pv[39] = x[39];
268       pv[40] = x[40]; pv[41] = x[41]; pv[42] = x[42]; pv[43] = x[43];
269       pv[44] = x[44]; pv[45] = x[45]; pv[46] = x[46]; pv[47] = x[47];
270       pv[48] = x[48];
271       pv   += 49;
272     }
273     /* invert diagonal block */
274     w = ba + 49*diag_offset[i];
275     ierr = Kernel_A_gets_inverse_A_7(w,shift);CHKERRQ(ierr);
276   }
277 
278   ierr = PetscFree(rtmp);CHKERRQ(ierr);
279   ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr);
280   ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr);
281   C->ops->solve          = MatSolve_SeqBAIJ_7;
282   C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_7;
283   C->assembled = PETSC_TRUE;
284   ierr = PetscLogFlops(1.3333*343*b->mbs);CHKERRQ(ierr); /* from inverting diagonal blocks */
285   PetscFunctionReturn(0);
286 }
287 
288 #undef __FUNCT__
289 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_7_newdatastruct"
290 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7_newdatastruct(Mat B,Mat A,const MatFactorInfo *info)
291 {
292   Mat            C=B;
293   Mat_SeqBAIJ    *a=(Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ *)C->data;
294   IS             isrow = b->row,isicol = b->icol;
295   PetscErrorCode ierr;
296   const PetscInt *r,*ic,*ics;
297   PetscInt       i,j,k,n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j;
298   PetscInt       *ajtmp,*bjtmp,nz,nzL,row,*bdiag=b->diag,*pj;
299   MatScalar      *rtmp,*pc,*mwork,*v,*pv,*aa=a->a;
300   PetscInt       bs2 = a->bs2,flg;
301   PetscReal      shift = info->shiftinblocks;
302 
303   PetscFunctionBegin;
304   ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr);
305   ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr);
306 
307   /* generate work space needed by the factorization */
308   ierr = PetscMalloc((bs2*n+bs2+1)*sizeof(MatScalar),&rtmp);CHKERRQ(ierr);
309   mwork = rtmp + bs2*n;
310   ierr = PetscMemzero(rtmp,bs2*n*sizeof(MatScalar));CHKERRQ(ierr);
311   ics  = ic;
312 
313   for (i=0; i<n; i++){
314     /* zero rtmp */
315     /* L part */
316     nz    = bi[i+1] - bi[i];
317     bjtmp = bj + bi[i];
318     for  (j=0; j<nz; j++){
319       ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr);
320     }
321 
322     /* U part */
323     nz = bi[2*n-i+1] - bi[2*n-i];
324     bjtmp = bj + bi[2*n-i];
325     for  (j=0; j<nz; j++){
326       ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr);
327     }
328 
329     /* load in initial (unfactored row) */
330     nz    = ai[r[i]+1] - ai[r[i]];
331     ajtmp = aj + ai[r[i]];
332     v     = aa + bs2*ai[r[i]];
333     for (j=0; j<nz; j++) {
334       ierr = PetscMemcpy(rtmp+bs2*ic[ajtmp[j]],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr);
335     }
336 
337     /* elimination */
338     bjtmp = bj + bi[i];
339     nzL   = bi[i+1] - bi[i];
340     for(k=0;k < nzL;k++) {
341       row = bjtmp[k];
342       pc = rtmp + bs2*row;
343       for (flg=0,j=0; j<bs2; j++) { if (pc[j]!=0.0) { flg = 1; break; }}
344       if (flg) {
345         pv = b->a + bs2*bdiag[row];
346         /* Kernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */
347         ierr = Kernel_A_gets_A_times_B_7(pc,pv,mwork);CHKERRQ(ierr);
348 
349         pj = b->j + bi[2*n-row]; /* begining of U(row,:) */
350         pv = b->a + bs2*bi[2*n-row];
351         nz = bi[2*n-row+1] - bi[2*n-row] - 1; /* num of entries inU(row,:), excluding diag */
352         for (j=0; j<nz; j++) {
353           /* Kernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */
354           /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */
355           v    = rtmp + bs2*pj[j];
356           ierr = Kernel_A_gets_A_minus_B_times_C_7(v,pc,pv);CHKERRQ(ierr);
357           pv  += bs2;
358         }
359         ierr = PetscLogFlops(686*nz+637);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */
360       }
361     }
362 
363     /* finished row so stick it into b->a */
364     /* L part */
365     pv   = b->a + bs2*bi[i] ;
366     pj   = b->j + bi[i] ;
367     nz   = bi[i+1] - bi[i];
368     for (j=0; j<nz; j++) {
369       ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr);
370     }
371 
372     /* Mark diagonal and invert diagonal for simplier triangular solves */
373     pv   = b->a + bs2*bdiag[i];
374     pj   = b->j + bdiag[i];
375     ierr = PetscMemcpy(pv,rtmp+bs2*pj[0],bs2*sizeof(MatScalar));CHKERRQ(ierr);
376     /* ierr = Kernel_A_gets_inverse_A(bs,pv,v_pivots,v_work);CHKERRQ(ierr); */
377     ierr = Kernel_A_gets_inverse_A_7(pv,shift);CHKERRQ(ierr);
378 
379     /* U part */
380     pv = b->a + bs2*bi[2*n-i];
381     pj = b->j + bi[2*n-i];
382     nz = bi[2*n-i+1] - bi[2*n-i] - 1;
383     for (j=0; j<nz; j++){
384       ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr);
385     }
386   }
387 
388   ierr = PetscFree(rtmp);CHKERRQ(ierr);
389   ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr);
390   ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr);
391 
392   C->assembled = PETSC_TRUE;
393   ierr = PetscLogFlops(1.3333*bs2*n);CHKERRQ(ierr); /* from inverting diagonal blocks */
394   PetscFunctionReturn(0);
395 }
396 
397 #undef __FUNCT__
398 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_7_newdatastruct_v2"
399 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7_newdatastruct_v2(Mat B,Mat A,const MatFactorInfo *info)
400 {
401   Mat            C=B;
402   Mat_SeqBAIJ    *a=(Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ *)C->data;
403   IS             isrow = b->row,isicol = b->icol;
404   PetscErrorCode ierr;
405   const PetscInt *r,*ic,*ics;
406   PetscInt       i,j,k,n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j;
407   PetscInt       *ajtmp,*bjtmp,nz,nzL,row,*bdiag=b->diag,*pj;
408   MatScalar      *rtmp,*pc,*mwork,*v,*pv,*aa=a->a;
409   PetscInt       bs2 = a->bs2,flg;
410   PetscReal      shift = info->shiftinblocks;
411 
412   PetscFunctionBegin;
413   ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr);
414   ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr);
415 
416   /* generate work space needed by the factorization */
417   ierr = PetscMalloc((bs2*n+bs2+1)*sizeof(MatScalar),&rtmp);CHKERRQ(ierr);
418   mwork = rtmp + bs2*n;
419   ierr = PetscMemzero(rtmp,bs2*n*sizeof(MatScalar));CHKERRQ(ierr);
420   ics  = ic;
421 
422   for (i=0; i<n; i++){
423     /* zero rtmp */
424     /* L part */
425     nz    = bi[i+1] - bi[i];
426     bjtmp = bj + bi[i];
427     for  (j=0; j<nz; j++){
428       ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr);
429     }
430 
431     /* U part */
432     nz = bdiag[i] - bdiag[i+1];
433     bjtmp = bj + bdiag[i+1]+1;
434     for  (j=0; j<nz; j++){
435       ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr);
436     }
437 
438     /* load in initial (unfactored row) */
439     nz    = ai[r[i]+1] - ai[r[i]];
440     ajtmp = aj + ai[r[i]];
441     v     = aa + bs2*ai[r[i]];
442     for (j=0; j<nz; j++) {
443       ierr = PetscMemcpy(rtmp+bs2*ic[ajtmp[j]],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr);
444     }
445 
446     /* elimination */
447     bjtmp = bj + bi[i];
448     nzL   = bi[i+1] - bi[i];
449     for(k=0;k < nzL;k++) {
450       row = bjtmp[k];
451       pc = rtmp + bs2*row;
452       for (flg=0,j=0; j<bs2; j++) { if (pc[j]!=0.0) { flg = 1; break; }}
453       if (flg) {
454         pv = b->a + bs2*bdiag[row];
455         /* Kernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */
456         ierr = Kernel_A_gets_A_times_B_7(pc,pv,mwork);CHKERRQ(ierr);
457 
458         pj = b->j + bdiag[row+1]+1; /* begining of U(row,:) */
459         pv = b->a + bs2*(bdiag[row+1]+1);
460         nz = bdiag[row] - bdiag[row+1] - 1; /* num of entries inU(row,:), excluding diag */
461         for (j=0; j<nz; j++) {
462           /* Kernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */
463           /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */
464           v    = rtmp + bs2*pj[j];
465           ierr = Kernel_A_gets_A_minus_B_times_C_7(v,pc,pv);CHKERRQ(ierr);
466           pv  += bs2;
467         }
468         ierr = PetscLogFlops(686*nz+637);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */
469       }
470     }
471 
472     /* finished row so stick it into b->a */
473     /* L part */
474     pv   = b->a + bs2*bi[i] ;
475     pj   = b->j + bi[i] ;
476     nz   = bi[i+1] - bi[i];
477     for (j=0; j<nz; j++) {
478       ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr);
479     }
480 
481     /* Mark diagonal and invert diagonal for simplier triangular solves */
482     pv   = b->a + bs2*bdiag[i];
483     pj   = b->j + bdiag[i];
484     ierr = PetscMemcpy(pv,rtmp+bs2*pj[0],bs2*sizeof(MatScalar));CHKERRQ(ierr);
485     /* ierr = Kernel_A_gets_inverse_A(bs,pv,v_pivots,v_work);CHKERRQ(ierr); */
486     ierr = Kernel_A_gets_inverse_A_7(pv,shift);CHKERRQ(ierr);
487 
488     /* U part */
489     pv = b->a + bs2*(bdiag[i+1]+1);
490     pj = b->j + bdiag[i+1]+1;
491     nz = bdiag[i] - bdiag[i+1] - 1;
492     for (j=0; j<nz; j++){
493       ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr);
494     }
495   }
496 
497   ierr = PetscFree(rtmp);CHKERRQ(ierr);
498   ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr);
499   ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr);
500 
501   C->assembled = PETSC_TRUE;
502   ierr = PetscLogFlops(1.3333*bs2*n);CHKERRQ(ierr); /* from inverting diagonal blocks */
503   PetscFunctionReturn(0);
504 }
505 
506 #undef __FUNCT__
507 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering"
508 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering(Mat C,Mat A,const MatFactorInfo *info)
509 {
510   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data;
511   PetscErrorCode ierr;
512   PetscInt       i,j,n = a->mbs,*bi = b->i,*bj = b->j;
513   PetscInt       *ajtmpold,*ajtmp,nz,row;
514   PetscInt       *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj;
515   MatScalar      *pv,*v,*rtmp,*pc,*w,*x;
516   MatScalar      x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15;
517   MatScalar      x16,x17,x18,x19,x20,x21,x22,x23,x24,x25;
518   MatScalar      p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15;
519   MatScalar      p16,p17,p18,p19,p20,p21,p22,p23,p24,p25;
520   MatScalar      m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15;
521   MatScalar      m16,m17,m18,m19,m20,m21,m22,m23,m24,m25;
522   MatScalar      p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36;
523   MatScalar      p37,p38,p39,p40,p41,p42,p43,p44,p45,p46,p47,p48,p49;
524   MatScalar      x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36;
525   MatScalar      x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49;
526   MatScalar      m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36;
527   MatScalar      m37,m38,m39,m40,m41,m42,m43,m44,m45,m46,m47,m48,m49;
528   MatScalar      *ba = b->a,*aa = a->a;
529   PetscReal      shift = info->shiftinblocks;
530 
531   PetscFunctionBegin;
532   ierr = PetscMalloc(49*(n+1)*sizeof(MatScalar),&rtmp);CHKERRQ(ierr);
533   for (i=0; i<n; i++) {
534     nz    = bi[i+1] - bi[i];
535     ajtmp = bj + bi[i];
536     for  (j=0; j<nz; j++) {
537       x = rtmp+49*ajtmp[j];
538       x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0;
539       x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0;
540       x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0 ;
541       x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0 ;
542       x[34] = x[35] = x[36] = x[37] = x[38] = x[39] = x[40] = x[41] = 0.0 ;
543       x[42] = x[43] = x[44] = x[45] = x[46] = x[47] = x[48] = 0.0 ;
544     }
545     /* load in initial (unfactored row) */
546     nz       = ai[i+1] - ai[i];
547     ajtmpold = aj + ai[i];
548     v        = aa + 49*ai[i];
549     for (j=0; j<nz; j++) {
550       x    = rtmp+49*ajtmpold[j];
551       x[0] =  v[0];  x[1] =  v[1];  x[2] =  v[2];  x[3] =  v[3];
552       x[4] =  v[4];  x[5] =  v[5];  x[6] =  v[6];  x[7] =  v[7];
553       x[8] =  v[8];  x[9] =  v[9];  x[10] = v[10]; x[11] = v[11];
554       x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15];
555       x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19];
556       x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23];
557       x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27];
558       x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31];
559       x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35];
560       x[36] = v[36]; x[37] = v[37]; x[38] = v[38]; x[39] = v[39];
561       x[40] = v[40]; x[41] = v[41]; x[42] = v[42]; x[43] = v[43];
562       x[44] = v[44]; x[45] = v[45]; x[46] = v[46]; x[47] = v[47];
563       x[48] = v[48];
564       v    += 49;
565     }
566     row = *ajtmp++;
567     while (row < i) {
568       pc  = rtmp + 49*row;
569       p1  = pc[0];  p2  = pc[1];  p3  = pc[2];  p4  = pc[3];
570       p5  = pc[4];  p6  = pc[5];  p7  = pc[6];  p8  = pc[7];
571       p9  = pc[8];  p10 = pc[9];  p11 = pc[10]; p12 = pc[11];
572       p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15];
573       p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19];
574       p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23];
575       p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27];
576       p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31];
577       p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35];
578       p37 = pc[36]; p38 = pc[37]; p39 = pc[38]; p40 = pc[39];
579       p41 = pc[40]; p42 = pc[41]; p43 = pc[42]; p44 = pc[43];
580       p45 = pc[44]; p46 = pc[45]; p47 = pc[46]; p48 = pc[47];
581       p49 = pc[48];
582       if (p1  != 0.0 || p2  != 0.0 || p3  != 0.0 || p4  != 0.0 ||
583           p5  != 0.0 || p6  != 0.0 || p7  != 0.0 || p8  != 0.0 ||
584           p9  != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 ||
585           p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 ||
586           p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 ||
587           p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 ||
588           p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 ||
589           p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 ||
590           p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0 ||
591           p37 != 0.0 || p38 != 0.0 || p39 != 0.0 || p40 != 0.0 ||
592           p41 != 0.0 || p42 != 0.0 || p43 != 0.0 || p44 != 0.0 ||
593           p45 != 0.0 || p46 != 0.0 || p47 != 0.0 || p48 != 0.0 ||
594           p49 != 0.0) {
595         pv = ba + 49*diag_offset[row];
596         pj = bj + diag_offset[row] + 1;
597 	x1  = pv[0];  x2  = pv[1];  x3  = pv[2];  x4  = pv[3];
598 	x5  = pv[4];  x6  = pv[5];  x7  = pv[6];  x8  = pv[7];
599 	x9  = pv[8];  x10 = pv[9];  x11 = pv[10]; x12 = pv[11];
600 	x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15];
601 	x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19];
602 	x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23];
603 	x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27];
604 	x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31];
605 	x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35];
606 	x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39];
607 	x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43];
608 	x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47];
609         x49 = pv[48];
610         pc[0]  = m1  = p1*x1  + p8*x2   + p15*x3  + p22*x4  + p29*x5  + p36*x6 + p43*x7;
611         pc[1]  = m2  = p2*x1  + p9*x2   + p16*x3  + p23*x4  + p30*x5  + p37*x6 + p44*x7;
612         pc[2]  = m3  = p3*x1  + p10*x2  + p17*x3  + p24*x4  + p31*x5  + p38*x6 + p45*x7;
613         pc[3]  = m4  = p4*x1  + p11*x2  + p18*x3  + p25*x4  + p32*x5  + p39*x6 + p46*x7;
614         pc[4]  = m5  = p5*x1  + p12*x2  + p19*x3  + p26*x4  + p33*x5  + p40*x6 + p47*x7;
615         pc[5]  = m6  = p6*x1  + p13*x2  + p20*x3  + p27*x4  + p34*x5  + p41*x6 + p48*x7;
616         pc[6]  = m7  = p7*x1  + p14*x2  + p21*x3  + p28*x4  + p35*x5  + p42*x6 + p49*x7;
617 
618         pc[7]  = m8  = p1*x8  + p8*x9   + p15*x10 + p22*x11 + p29*x12 + p36*x13 + p43*x14;
619         pc[8]  = m9  = p2*x8  + p9*x9   + p16*x10 + p23*x11 + p30*x12 + p37*x13 + p44*x14;
620         pc[9]  = m10 = p3*x8  + p10*x9  + p17*x10 + p24*x11 + p31*x12 + p38*x13 + p45*x14;
621         pc[10] = m11 = p4*x8  + p11*x9  + p18*x10 + p25*x11 + p32*x12 + p39*x13 + p46*x14;
622         pc[11] = m12 = p5*x8  + p12*x9  + p19*x10 + p26*x11 + p33*x12 + p40*x13 + p47*x14;
623         pc[12] = m13 = p6*x8  + p13*x9  + p20*x10 + p27*x11 + p34*x12 + p41*x13 + p48*x14;
624         pc[13] = m14 = p7*x8  + p14*x9  + p21*x10 + p28*x11 + p35*x12 + p42*x13 + p49*x14;
625 
626         pc[14] = m15 = p1*x15 + p8*x16  + p15*x17 + p22*x18 + p29*x19 + p36*x20 + p43*x21;
627         pc[15] = m16 = p2*x15 + p9*x16  + p16*x17 + p23*x18 + p30*x19 + p37*x20 + p44*x21;
628         pc[16] = m17 = p3*x15 + p10*x16 + p17*x17 + p24*x18 + p31*x19 + p38*x20 + p45*x21;
629         pc[17] = m18 = p4*x15 + p11*x16 + p18*x17 + p25*x18 + p32*x19 + p39*x20 + p46*x21;
630         pc[18] = m19 = p5*x15 + p12*x16 + p19*x17 + p26*x18 + p33*x19 + p40*x20 + p47*x21;
631         pc[19] = m20 = p6*x15 + p13*x16 + p20*x17 + p27*x18 + p34*x19 + p41*x20 + p48*x21;
632         pc[20] = m21 = p7*x15 + p14*x16 + p21*x17 + p28*x18 + p35*x19 + p42*x20 + p49*x21;
633 
634         pc[21] = m22 = p1*x22 + p8*x23  + p15*x24 + p22*x25 + p29*x26 + p36*x27 + p43*x28;
635         pc[22] = m23 = p2*x22 + p9*x23  + p16*x24 + p23*x25 + p30*x26 + p37*x27 + p44*x28;
636         pc[23] = m24 = p3*x22 + p10*x23 + p17*x24 + p24*x25 + p31*x26 + p38*x27 + p45*x28;
637         pc[24] = m25 = p4*x22 + p11*x23 + p18*x24 + p25*x25 + p32*x26 + p39*x27 + p46*x28;
638         pc[25] = m26 = p5*x22 + p12*x23 + p19*x24 + p26*x25 + p33*x26 + p40*x27 + p47*x28;
639         pc[26] = m27 = p6*x22 + p13*x23 + p20*x24 + p27*x25 + p34*x26 + p41*x27 + p48*x28;
640         pc[27] = m28 = p7*x22 + p14*x23 + p21*x24 + p28*x25 + p35*x26 + p42*x27 + p49*x28;
641 
642         pc[28] = m29 = p1*x29 + p8*x30  + p15*x31 + p22*x32 + p29*x33 + p36*x34 + p43*x35;
643         pc[29] = m30 = p2*x29 + p9*x30  + p16*x31 + p23*x32 + p30*x33 + p37*x34 + p44*x35;
644         pc[30] = m31 = p3*x29 + p10*x30 + p17*x31 + p24*x32 + p31*x33 + p38*x34 + p45*x35;
645         pc[31] = m32 = p4*x29 + p11*x30 + p18*x31 + p25*x32 + p32*x33 + p39*x34 + p46*x35;
646         pc[32] = m33 = p5*x29 + p12*x30 + p19*x31 + p26*x32 + p33*x33 + p40*x34 + p47*x35;
647         pc[33] = m34 = p6*x29 + p13*x30 + p20*x31 + p27*x32 + p34*x33 + p41*x34 + p48*x35;
648         pc[34] = m35 = p7*x29 + p14*x30 + p21*x31 + p28*x32 + p35*x33 + p42*x34 + p49*x35;
649 
650         pc[35] = m36 = p1*x36 + p8*x37  + p15*x38 + p22*x39 + p29*x40 + p36*x41 + p43*x42;
651         pc[36] = m37 = p2*x36 + p9*x37  + p16*x38 + p23*x39 + p30*x40 + p37*x41 + p44*x42;
652         pc[37] = m38 = p3*x36 + p10*x37 + p17*x38 + p24*x39 + p31*x40 + p38*x41 + p45*x42;
653         pc[38] = m39 = p4*x36 + p11*x37 + p18*x38 + p25*x39 + p32*x40 + p39*x41 + p46*x42;
654         pc[39] = m40 = p5*x36 + p12*x37 + p19*x38 + p26*x39 + p33*x40 + p40*x41 + p47*x42;
655         pc[40] = m41 = p6*x36 + p13*x37 + p20*x38 + p27*x39 + p34*x40 + p41*x41 + p48*x42;
656         pc[41] = m42 = p7*x36 + p14*x37 + p21*x38 + p28*x39 + p35*x40 + p42*x41 + p49*x42;
657 
658         pc[42] = m43 = p1*x43 + p8*x44  + p15*x45 + p22*x46 + p29*x47 + p36*x48 + p43*x49;
659         pc[43] = m44 = p2*x43 + p9*x44  + p16*x45 + p23*x46 + p30*x47 + p37*x48 + p44*x49;
660         pc[44] = m45 = p3*x43 + p10*x44 + p17*x45 + p24*x46 + p31*x47 + p38*x48 + p45*x49;
661         pc[45] = m46 = p4*x43 + p11*x44 + p18*x45 + p25*x46 + p32*x47 + p39*x48 + p46*x49;
662         pc[46] = m47 = p5*x43 + p12*x44 + p19*x45 + p26*x46 + p33*x47 + p40*x48 + p47*x49;
663         pc[47] = m48 = p6*x43 + p13*x44 + p20*x45 + p27*x46 + p34*x47 + p41*x48 + p48*x49;
664         pc[48] = m49 = p7*x43 + p14*x44 + p21*x45 + p28*x46 + p35*x47 + p42*x48 + p49*x49;
665 
666         nz = bi[row+1] - diag_offset[row] - 1;
667         pv += 49;
668         for (j=0; j<nz; j++) {
669 	  x1  = pv[0];  x2  = pv[1];  x3  = pv[2];  x4  = pv[3];
670 	  x5  = pv[4];  x6  = pv[5];  x7  = pv[6];  x8  = pv[7];
671 	  x9  = pv[8];  x10 = pv[9];  x11 = pv[10]; x12 = pv[11];
672 	  x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15];
673 	  x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19];
674 	  x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23];
675 	  x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27];
676 	  x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31];
677 	  x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35];
678 	  x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39];
679 	  x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43];
680 	  x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47];
681 	  x49 = pv[48];
682 	  x    = rtmp + 49*pj[j];
683 	  x[0]  -= m1*x1  + m8*x2   + m15*x3  + m22*x4  + m29*x5  + m36*x6 + m43*x7;
684 	  x[1]  -= m2*x1  + m9*x2   + m16*x3  + m23*x4  + m30*x5  + m37*x6 + m44*x7;
685 	  x[2]  -= m3*x1  + m10*x2  + m17*x3  + m24*x4  + m31*x5  + m38*x6 + m45*x7;
686 	  x[3]  -= m4*x1  + m11*x2  + m18*x3  + m25*x4  + m32*x5  + m39*x6 + m46*x7;
687 	  x[4]  -= m5*x1  + m12*x2  + m19*x3  + m26*x4  + m33*x5  + m40*x6 + m47*x7;
688 	  x[5]  -= m6*x1  + m13*x2  + m20*x3  + m27*x4  + m34*x5  + m41*x6 + m48*x7;
689 	  x[6]  -= m7*x1  + m14*x2  + m21*x3  + m28*x4  + m35*x5  + m42*x6 + m49*x7;
690 
691 	  x[7]  -= m1*x8  + m8*x9   + m15*x10 + m22*x11 + m29*x12 + m36*x13 + m43*x14;
692 	  x[8]  -= m2*x8  + m9*x9   + m16*x10 + m23*x11 + m30*x12 + m37*x13 + m44*x14;
693 	  x[9]  -= m3*x8  + m10*x9  + m17*x10 + m24*x11 + m31*x12 + m38*x13 + m45*x14;
694 	  x[10] -= m4*x8  + m11*x9  + m18*x10 + m25*x11 + m32*x12 + m39*x13 + m46*x14;
695 	  x[11] -= m5*x8  + m12*x9  + m19*x10 + m26*x11 + m33*x12 + m40*x13 + m47*x14;
696 	  x[12] -= m6*x8  + m13*x9  + m20*x10 + m27*x11 + m34*x12 + m41*x13 + m48*x14;
697 	  x[13] -= m7*x8  + m14*x9  + m21*x10 + m28*x11 + m35*x12 + m42*x13 + m49*x14;
698 
699 	  x[14] -= m1*x15 + m8*x16  + m15*x17 + m22*x18 + m29*x19 + m36*x20 + m43*x21;
700 	  x[15] -= m2*x15 + m9*x16  + m16*x17 + m23*x18 + m30*x19 + m37*x20 + m44*x21;
701 	  x[16] -= m3*x15 + m10*x16 + m17*x17 + m24*x18 + m31*x19 + m38*x20 + m45*x21;
702 	  x[17] -= m4*x15 + m11*x16 + m18*x17 + m25*x18 + m32*x19 + m39*x20 + m46*x21;
703 	  x[18] -= m5*x15 + m12*x16 + m19*x17 + m26*x18 + m33*x19 + m40*x20 + m47*x21;
704 	  x[19] -= m6*x15 + m13*x16 + m20*x17 + m27*x18 + m34*x19 + m41*x20 + m48*x21;
705 	  x[20] -= m7*x15 + m14*x16 + m21*x17 + m28*x18 + m35*x19 + m42*x20 + m49*x21;
706 
707 	  x[21] -= m1*x22 + m8*x23  + m15*x24 + m22*x25 + m29*x26 + m36*x27 + m43*x28;
708 	  x[22] -= m2*x22 + m9*x23  + m16*x24 + m23*x25 + m30*x26 + m37*x27 + m44*x28;
709 	  x[23] -= m3*x22 + m10*x23 + m17*x24 + m24*x25 + m31*x26 + m38*x27 + m45*x28;
710 	  x[24] -= m4*x22 + m11*x23 + m18*x24 + m25*x25 + m32*x26 + m39*x27 + m46*x28;
711 	  x[25] -= m5*x22 + m12*x23 + m19*x24 + m26*x25 + m33*x26 + m40*x27 + m47*x28;
712 	  x[26] -= m6*x22 + m13*x23 + m20*x24 + m27*x25 + m34*x26 + m41*x27 + m48*x28;
713 	  x[27] -= m7*x22 + m14*x23 + m21*x24 + m28*x25 + m35*x26 + m42*x27 + m49*x28;
714 
715 	  x[28] -= m1*x29 + m8*x30  + m15*x31 + m22*x32 + m29*x33 + m36*x34 + m43*x35;
716 	  x[29] -= m2*x29 + m9*x30  + m16*x31 + m23*x32 + m30*x33 + m37*x34 + m44*x35;
717 	  x[30] -= m3*x29 + m10*x30 + m17*x31 + m24*x32 + m31*x33 + m38*x34 + m45*x35;
718 	  x[31] -= m4*x29 + m11*x30 + m18*x31 + m25*x32 + m32*x33 + m39*x34 + m46*x35;
719 	  x[32] -= m5*x29 + m12*x30 + m19*x31 + m26*x32 + m33*x33 + m40*x34 + m47*x35;
720 	  x[33] -= m6*x29 + m13*x30 + m20*x31 + m27*x32 + m34*x33 + m41*x34 + m48*x35;
721 	  x[34] -= m7*x29 + m14*x30 + m21*x31 + m28*x32 + m35*x33 + m42*x34 + m49*x35;
722 
723 	  x[35] -= m1*x36 + m8*x37  + m15*x38 + m22*x39 + m29*x40 + m36*x41 + m43*x42;
724 	  x[36] -= m2*x36 + m9*x37  + m16*x38 + m23*x39 + m30*x40 + m37*x41 + m44*x42;
725 	  x[37] -= m3*x36 + m10*x37 + m17*x38 + m24*x39 + m31*x40 + m38*x41 + m45*x42;
726 	  x[38] -= m4*x36 + m11*x37 + m18*x38 + m25*x39 + m32*x40 + m39*x41 + m46*x42;
727 	  x[39] -= m5*x36 + m12*x37 + m19*x38 + m26*x39 + m33*x40 + m40*x41 + m47*x42;
728 	  x[40] -= m6*x36 + m13*x37 + m20*x38 + m27*x39 + m34*x40 + m41*x41 + m48*x42;
729 	  x[41] -= m7*x36 + m14*x37 + m21*x38 + m28*x39 + m35*x40 + m42*x41 + m49*x42;
730 
731 	  x[42] -= m1*x43 + m8*x44  + m15*x45 + m22*x46 + m29*x47 + m36*x48 + m43*x49;
732 	  x[43] -= m2*x43 + m9*x44  + m16*x45 + m23*x46 + m30*x47 + m37*x48 + m44*x49;
733 	  x[44] -= m3*x43 + m10*x44 + m17*x45 + m24*x46 + m31*x47 + m38*x48 + m45*x49;
734 	  x[45] -= m4*x43 + m11*x44 + m18*x45 + m25*x46 + m32*x47 + m39*x48 + m46*x49;
735 	  x[46] -= m5*x43 + m12*x44 + m19*x45 + m26*x46 + m33*x47 + m40*x48 + m47*x49;
736 	  x[47] -= m6*x43 + m13*x44 + m20*x45 + m27*x46 + m34*x47 + m41*x48 + m48*x49;
737 	  x[48] -= m7*x43 + m14*x44 + m21*x45 + m28*x46 + m35*x47 + m42*x48 + m49*x49;
738           pv   += 49;
739         }
740         ierr = PetscLogFlops(686.0*nz+637.0);CHKERRQ(ierr);
741       }
742       row = *ajtmp++;
743     }
744     /* finished row so stick it into b->a */
745     pv = ba + 49*bi[i];
746     pj = bj + bi[i];
747     nz = bi[i+1] - bi[i];
748     for (j=0; j<nz; j++) {
749       x      = rtmp+49*pj[j];
750       pv[0]  = x[0];  pv[1]  = x[1];  pv[2]  = x[2];  pv[3]  = x[3];
751       pv[4]  = x[4];  pv[5]  = x[5];  pv[6]  = x[6];  pv[7]  = x[7];
752       pv[8]  = x[8];  pv[9]  = x[9];  pv[10] = x[10]; pv[11] = x[11];
753       pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15];
754       pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19];
755       pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23];
756       pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27];
757       pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31];
758       pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35];
759       pv[36] = x[36]; pv[37] = x[37]; pv[38] = x[38]; pv[39] = x[39];
760       pv[40] = x[40]; pv[41] = x[41]; pv[42] = x[42]; pv[43] = x[43];
761       pv[44] = x[44]; pv[45] = x[45]; pv[46] = x[46]; pv[47] = x[47];
762       pv[48] = x[48];
763       pv   += 49;
764     }
765     /* invert diagonal block */
766     w = ba + 49*diag_offset[i];
767     ierr = Kernel_A_gets_inverse_A_7(w,shift);CHKERRQ(ierr);
768   }
769 
770   ierr = PetscFree(rtmp);CHKERRQ(ierr);
771   C->ops->solve          = MatSolve_SeqBAIJ_7_NaturalOrdering;
772   C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_7_NaturalOrdering;
773   C->assembled = PETSC_TRUE;
774   ierr = PetscLogFlops(1.3333*343*b->mbs);CHKERRQ(ierr); /* from inverting diagonal blocks */
775   PetscFunctionReturn(0);
776 }
777 
778 #undef __FUNCT__
779 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering_newdatastruct"
780 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering_newdatastruct(Mat B,Mat A,const MatFactorInfo *info)
781 {
782   Mat            C=B;
783   Mat_SeqBAIJ    *a=(Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ *)C->data;
784   PetscErrorCode ierr;
785   PetscInt       i,j,k,n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j;
786   PetscInt       *ajtmp,*bjtmp,nz,nzL,row,*bdiag=b->diag,*pj;
787   MatScalar      *rtmp,*pc,*mwork,*v,*pv,*aa=a->a;
788   PetscInt       bs2 = a->bs2,flg;
789   PetscReal      shift = info->shiftinblocks;
790 
791   PetscFunctionBegin;
792   /* generate work space needed by the factorization */
793   ierr = PetscMalloc((bs2*n+bs2+1)*sizeof(MatScalar),&rtmp);CHKERRQ(ierr);
794   mwork = rtmp + bs2*n;
795   ierr = PetscMemzero(rtmp,bs2*n*sizeof(MatScalar));CHKERRQ(ierr);
796 
797   for (i=0; i<n; i++){
798     /* zero rtmp */
799     /* L part */
800     nz    = bi[i+1] - bi[i];
801     bjtmp = bj + bi[i];
802     for  (j=0; j<nz; j++){
803       ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr);
804     }
805 
806     /* U part */
807     nz = bi[2*n-i+1] - bi[2*n-i];
808     bjtmp = bj + bi[2*n-i];
809     for  (j=0; j<nz; j++){
810       ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr);
811     }
812 
813     /* load in initial (unfactored row) */
814     nz    = ai[i+1] - ai[i];
815     ajtmp = aj + ai[i];
816     v     = aa + bs2*ai[i];
817     for (j=0; j<nz; j++) {
818       ierr = PetscMemcpy(rtmp+bs2*ajtmp[j],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr);
819     }
820 
821     /* elimination */
822     bjtmp = bj + bi[i];
823     nzL   = bi[i+1] - bi[i];
824     for(k=0;k < nzL;k++) {
825       row = bjtmp[k];
826       pc = rtmp + bs2*row;
827       for (flg=0,j=0; j<bs2; j++) { if (pc[j]!=0.0) { flg = 1; break; }}
828       if (flg) {
829         pv = b->a + bs2*bdiag[row];
830         /* Kernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */
831         ierr = Kernel_A_gets_A_times_B_7(pc,pv,mwork);CHKERRQ(ierr);
832 
833         pj = b->j + bi[2*n-row]; /* begining of U(row,:) */
834         pv = b->a + bs2*bi[2*n-row];
835         nz = bi[2*n-row+1] - bi[2*n-row] - 1; /* num of entries inU(row,:), excluding diag */
836         for (j=0; j<nz; j++) {
837           /* Kernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */
838           /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */
839           v    = rtmp + bs2*pj[j];
840           ierr = Kernel_A_gets_A_minus_B_times_C_7(v,pc,pv);CHKERRQ(ierr);
841           pv  += bs2;
842         }
843         ierr = PetscLogFlops(686*nz+637);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */
844       }
845     }
846 
847     /* finished row so stick it into b->a */
848     /* L part */
849     pv   = b->a + bs2*bi[i] ;
850     pj   = b->j + bi[i] ;
851     nz   = bi[i+1] - bi[i];
852     for (j=0; j<nz; j++) {
853       ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr);
854     }
855 
856     /* Mark diagonal and invert diagonal for simplier triangular solves */
857     pv   = b->a + bs2*bdiag[i];
858     pj   = b->j + bdiag[i];
859     ierr = PetscMemcpy(pv,rtmp+bs2*pj[0],bs2*sizeof(MatScalar));CHKERRQ(ierr);
860     /* ierr = Kernel_A_gets_inverse_A(bs,pv,v_pivots,v_work);CHKERRQ(ierr); */
861     ierr = Kernel_A_gets_inverse_A_7(pv,shift);CHKERRQ(ierr);
862 
863     /* U part */
864     pv = b->a + bs2*bi[2*n-i];
865     pj = b->j + bi[2*n-i];
866     nz = bi[2*n-i+1] - bi[2*n-i] - 1;
867     for (j=0; j<nz; j++){
868       ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr);
869     }
870   }
871 
872   ierr = PetscFree(rtmp);CHKERRQ(ierr);
873   C->assembled = PETSC_TRUE;
874   ierr = PetscLogFlops(1.3333*bs2*n);CHKERRQ(ierr); /* from inverting diagonal blocks */
875   PetscFunctionReturn(0);
876 }
877 
878 #undef __FUNCT__
879 #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering_newdatastruct_v2"
880 PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering_newdatastruct_v2(Mat B,Mat A,const MatFactorInfo *info)
881 {
882   Mat            C=B;
883   Mat_SeqBAIJ    *a=(Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ *)C->data;
884   PetscErrorCode ierr;
885   PetscInt       i,j,k,n=a->mbs,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j;
886   PetscInt       *ajtmp,*bjtmp,nz,nzL,row,*bdiag=b->diag,*pj;
887   MatScalar      *rtmp,*pc,*mwork,*v,*pv,*aa=a->a;
888   PetscInt       bs2 = a->bs2,flg;
889   PetscReal      shift = info->shiftinblocks;
890 
891   PetscFunctionBegin;
892   /* generate work space needed by the factorization */
893   ierr = PetscMalloc((bs2*n+bs2+1)*sizeof(MatScalar),&rtmp);CHKERRQ(ierr);
894   mwork = rtmp + bs2*n;
895   ierr = PetscMemzero(rtmp,bs2*n*sizeof(MatScalar));CHKERRQ(ierr);
896 
897   for (i=0; i<n; i++){
898     /* zero rtmp */
899     /* L part */
900     nz    = bi[i+1] - bi[i];
901     bjtmp = bj + bi[i];
902     for  (j=0; j<nz; j++){
903       ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr);
904     }
905 
906     /* U part */
907     nz = bdiag[i] - bdiag[i+1];
908     bjtmp = bj + bdiag[i+1]+1;
909     for  (j=0; j<nz; j++){
910       ierr = PetscMemzero(rtmp+bs2*bjtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr);
911     }
912 
913     /* load in initial (unfactored row) */
914     nz    = ai[i+1] - ai[i];
915     ajtmp = aj + ai[i];
916     v     = aa + bs2*ai[i];
917     for (j=0; j<nz; j++) {
918       ierr = PetscMemcpy(rtmp+bs2*ajtmp[j],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr);
919     }
920 
921     /* elimination */
922     bjtmp = bj + bi[i];
923     nzL   = bi[i+1] - bi[i];
924     for(k=0;k < nzL;k++) {
925       row = bjtmp[k];
926       pc = rtmp + bs2*row;
927       for (flg=0,j=0; j<bs2; j++) { if (pc[j]!=0.0) { flg = 1; break; }}
928       if (flg) {
929         pv = b->a + bs2*bdiag[row];
930         /* Kernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */
931         ierr = Kernel_A_gets_A_times_B_7(pc,pv,mwork);CHKERRQ(ierr);
932 
933         pj = b->j + bdiag[row+1]+1; /* begining of U(row,:) */
934         pv = b->a + bs2*(bdiag[row+1]+1);
935         nz = bdiag[row] - bdiag[row+1] - 1; /* num of entries inU(row,:), excluding diag */
936         for (j=0; j<nz; j++) {
937           /* Kernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */
938           /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */
939           v    = rtmp + bs2*pj[j];
940           ierr = Kernel_A_gets_A_minus_B_times_C_7(v,pc,pv);CHKERRQ(ierr);
941           pv  += bs2;
942         }
943         ierr = PetscLogFlops(686*nz+637);CHKERRQ(ierr); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */
944       }
945     }
946 
947     /* finished row so stick it into b->a */
948     /* L part */
949     pv   = b->a + bs2*bi[i] ;
950     pj   = b->j + bi[i] ;
951     nz   = bi[i+1] - bi[i];
952     for (j=0; j<nz; j++) {
953       ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr);
954     }
955 
956     /* Mark diagonal and invert diagonal for simplier triangular solves */
957     pv   = b->a + bs2*bdiag[i];
958     pj   = b->j + bdiag[i];
959     ierr = PetscMemcpy(pv,rtmp+bs2*pj[0],bs2*sizeof(MatScalar));CHKERRQ(ierr);
960     /* ierr = Kernel_A_gets_inverse_A(bs,pv,v_pivots,v_work);CHKERRQ(ierr); */
961     ierr = Kernel_A_gets_inverse_A_7(pv,shift);CHKERRQ(ierr);
962 
963     /* U part */
964     pv = b->a + bs2*(bdiag[i+1]+1);
965     pj = b->j + bdiag[i+1]+1;
966     nz = bdiag[i] - bdiag[i+1] - 1;
967     for (j=0; j<nz; j++){
968       ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr);
969     }
970   }
971 
972   ierr = PetscFree(rtmp);CHKERRQ(ierr);
973   C->assembled = PETSC_TRUE;
974   ierr = PetscLogFlops(1.3333*bs2*n);CHKERRQ(ierr); /* from inverting diagonal blocks */
975   PetscFunctionReturn(0);
976 }
977 
978