Actual source code: baijfact5.c
1: /*
2: Factorization code for BAIJ format.
3: */
4: #include <../src/mat/impls/baij/seq/baij.h>
5: #include <petsc/private/kernels/blockinvert.h>
6: /*
7: Version for when blocks are 7 by 7
8: */
9: PetscErrorCode MatILUFactorNumeric_SeqBAIJ_7_inplace(Mat C, Mat A, const MatFactorInfo *info)
10: {
11: Mat_SeqBAIJ *a = (Mat_SeqBAIJ *)A->data, *b = (Mat_SeqBAIJ *)C->data;
12: IS isrow = b->row, isicol = b->icol;
13: const PetscInt *r, *ic, *bi = b->i, *bj = b->j, *ajtmp, *ai = a->i, *aj = a->j, *pj, *ajtmpold;
14: const PetscInt *diag_offset;
15: PetscInt i, j, n = a->mbs, nz, row, idx;
16: MatScalar *pv, *v, *rtmp, *pc, *w, *x;
17: MatScalar p1, p2, p3, p4, m1, m2, m3, m4, m5, m6, m7, m8, m9, x1, x2, x3, x4;
18: MatScalar p5, p6, p7, p8, p9, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16;
19: MatScalar x17, x18, x19, x20, x21, x22, x23, x24, x25, p10, p11, p12, p13, p14;
20: MatScalar p15, p16, p17, p18, p19, p20, p21, p22, p23, p24, p25, m10, m11, m12;
21: MatScalar m13, m14, m15, m16, m17, m18, m19, m20, m21, m22, m23, m24, m25;
22: MatScalar p26, p27, p28, p29, p30, p31, p32, p33, p34, p35, p36;
23: MatScalar p37, p38, p39, p40, p41, p42, p43, p44, p45, p46, p47, p48, p49;
24: MatScalar x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x36;
25: MatScalar x37, x38, x39, x40, x41, x42, x43, x44, x45, x46, x47, x48, x49;
26: MatScalar m26, m27, m28, m29, m30, m31, m32, m33, m34, m35, m36;
27: MatScalar m37, m38, m39, m40, m41, m42, m43, m44, m45, m46, m47, m48, m49;
28: MatScalar *ba = b->a, *aa = a->a;
29: PetscReal shift = info->shiftamount;
30: PetscBool allowzeropivot, zeropivotdetected;
32: PetscFunctionBegin;
33: /* Since A is C and C is labeled as a factored matrix we need to lie to MatGetDiagonalMarkers_SeqBAIJ() to get it to compute the diagonals */
34: A->factortype = MAT_FACTOR_NONE;
35: PetscCall(MatGetDiagonalMarkers_SeqBAIJ(A, &diag_offset, NULL));
36: A->factortype = MAT_FACTOR_ILU;
37: allowzeropivot = PetscNot(A->erroriffailure);
38: PetscCall(ISGetIndices(isrow, &r));
39: PetscCall(ISGetIndices(isicol, &ic));
40: PetscCall(PetscMalloc1(49 * (n + 1), &rtmp));
42: for (i = 0; i < n; i++) {
43: nz = bi[i + 1] - bi[i];
44: ajtmp = bj + bi[i];
45: for (j = 0; j < nz; j++) {
46: x = rtmp + 49 * ajtmp[j];
47: x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0;
48: x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0;
49: x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0;
50: x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0;
51: x[34] = x[35] = x[36] = x[37] = x[38] = x[39] = x[40] = x[41] = 0.0;
52: x[42] = x[43] = x[44] = x[45] = x[46] = x[47] = x[48] = 0.0;
53: }
54: /* load in initial (unfactored row) */
55: idx = r[i];
56: nz = ai[idx + 1] - ai[idx];
57: ajtmpold = aj + ai[idx];
58: v = aa + 49 * ai[idx];
59: for (j = 0; j < nz; j++) {
60: x = rtmp + 49 * ic[ajtmpold[j]];
61: x[0] = v[0];
62: x[1] = v[1];
63: x[2] = v[2];
64: x[3] = v[3];
65: x[4] = v[4];
66: x[5] = v[5];
67: x[6] = v[6];
68: x[7] = v[7];
69: x[8] = v[8];
70: x[9] = v[9];
71: x[10] = v[10];
72: x[11] = v[11];
73: x[12] = v[12];
74: x[13] = v[13];
75: x[14] = v[14];
76: x[15] = v[15];
77: x[16] = v[16];
78: x[17] = v[17];
79: x[18] = v[18];
80: x[19] = v[19];
81: x[20] = v[20];
82: x[21] = v[21];
83: x[22] = v[22];
84: x[23] = v[23];
85: x[24] = v[24];
86: x[25] = v[25];
87: x[26] = v[26];
88: x[27] = v[27];
89: x[28] = v[28];
90: x[29] = v[29];
91: x[30] = v[30];
92: x[31] = v[31];
93: x[32] = v[32];
94: x[33] = v[33];
95: x[34] = v[34];
96: x[35] = v[35];
97: x[36] = v[36];
98: x[37] = v[37];
99: x[38] = v[38];
100: x[39] = v[39];
101: x[40] = v[40];
102: x[41] = v[41];
103: x[42] = v[42];
104: x[43] = v[43];
105: x[44] = v[44];
106: x[45] = v[45];
107: x[46] = v[46];
108: x[47] = v[47];
109: x[48] = v[48];
110: v += 49;
111: }
112: row = *ajtmp++;
113: while (row < i) {
114: pc = rtmp + 49 * row;
115: p1 = pc[0];
116: p2 = pc[1];
117: p3 = pc[2];
118: p4 = pc[3];
119: p5 = pc[4];
120: p6 = pc[5];
121: p7 = pc[6];
122: p8 = pc[7];
123: p9 = pc[8];
124: p10 = pc[9];
125: p11 = pc[10];
126: p12 = pc[11];
127: p13 = pc[12];
128: p14 = pc[13];
129: p15 = pc[14];
130: p16 = pc[15];
131: p17 = pc[16];
132: p18 = pc[17];
133: p19 = pc[18];
134: p20 = pc[19];
135: p21 = pc[20];
136: p22 = pc[21];
137: p23 = pc[22];
138: p24 = pc[23];
139: p25 = pc[24];
140: p26 = pc[25];
141: p27 = pc[26];
142: p28 = pc[27];
143: p29 = pc[28];
144: p30 = pc[29];
145: p31 = pc[30];
146: p32 = pc[31];
147: p33 = pc[32];
148: p34 = pc[33];
149: p35 = pc[34];
150: p36 = pc[35];
151: p37 = pc[36];
152: p38 = pc[37];
153: p39 = pc[38];
154: p40 = pc[39];
155: p41 = pc[40];
156: p42 = pc[41];
157: p43 = pc[42];
158: p44 = pc[43];
159: p45 = pc[44];
160: p46 = pc[45];
161: p47 = pc[46];
162: p48 = pc[47];
163: p49 = pc[48];
164: if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0 || p37 != 0.0 || p38 != 0.0 || p39 != 0.0 || p40 != 0.0 || p41 != 0.0 || p42 != 0.0 || p43 != 0.0 || p44 != 0.0 || p45 != 0.0 || p46 != 0.0 || p47 != 0.0 || p48 != 0.0 || p49 != 0.0) {
165: pv = ba + 49 * diag_offset[row];
166: pj = bj + diag_offset[row] + 1;
167: x1 = pv[0];
168: x2 = pv[1];
169: x3 = pv[2];
170: x4 = pv[3];
171: x5 = pv[4];
172: x6 = pv[5];
173: x7 = pv[6];
174: x8 = pv[7];
175: x9 = pv[8];
176: x10 = pv[9];
177: x11 = pv[10];
178: x12 = pv[11];
179: x13 = pv[12];
180: x14 = pv[13];
181: x15 = pv[14];
182: x16 = pv[15];
183: x17 = pv[16];
184: x18 = pv[17];
185: x19 = pv[18];
186: x20 = pv[19];
187: x21 = pv[20];
188: x22 = pv[21];
189: x23 = pv[22];
190: x24 = pv[23];
191: x25 = pv[24];
192: x26 = pv[25];
193: x27 = pv[26];
194: x28 = pv[27];
195: x29 = pv[28];
196: x30 = pv[29];
197: x31 = pv[30];
198: x32 = pv[31];
199: x33 = pv[32];
200: x34 = pv[33];
201: x35 = pv[34];
202: x36 = pv[35];
203: x37 = pv[36];
204: x38 = pv[37];
205: x39 = pv[38];
206: x40 = pv[39];
207: x41 = pv[40];
208: x42 = pv[41];
209: x43 = pv[42];
210: x44 = pv[43];
211: x45 = pv[44];
212: x46 = pv[45];
213: x47 = pv[46];
214: x48 = pv[47];
215: x49 = pv[48];
216: pc[0] = m1 = p1 * x1 + p8 * x2 + p15 * x3 + p22 * x4 + p29 * x5 + p36 * x6 + p43 * x7;
217: pc[1] = m2 = p2 * x1 + p9 * x2 + p16 * x3 + p23 * x4 + p30 * x5 + p37 * x6 + p44 * x7;
218: pc[2] = m3 = p3 * x1 + p10 * x2 + p17 * x3 + p24 * x4 + p31 * x5 + p38 * x6 + p45 * x7;
219: pc[3] = m4 = p4 * x1 + p11 * x2 + p18 * x3 + p25 * x4 + p32 * x5 + p39 * x6 + p46 * x7;
220: pc[4] = m5 = p5 * x1 + p12 * x2 + p19 * x3 + p26 * x4 + p33 * x5 + p40 * x6 + p47 * x7;
221: pc[5] = m6 = p6 * x1 + p13 * x2 + p20 * x3 + p27 * x4 + p34 * x5 + p41 * x6 + p48 * x7;
222: pc[6] = m7 = p7 * x1 + p14 * x2 + p21 * x3 + p28 * x4 + p35 * x5 + p42 * x6 + p49 * x7;
224: pc[7] = m8 = p1 * x8 + p8 * x9 + p15 * x10 + p22 * x11 + p29 * x12 + p36 * x13 + p43 * x14;
225: pc[8] = m9 = p2 * x8 + p9 * x9 + p16 * x10 + p23 * x11 + p30 * x12 + p37 * x13 + p44 * x14;
226: pc[9] = m10 = p3 * x8 + p10 * x9 + p17 * x10 + p24 * x11 + p31 * x12 + p38 * x13 + p45 * x14;
227: pc[10] = m11 = p4 * x8 + p11 * x9 + p18 * x10 + p25 * x11 + p32 * x12 + p39 * x13 + p46 * x14;
228: pc[11] = m12 = p5 * x8 + p12 * x9 + p19 * x10 + p26 * x11 + p33 * x12 + p40 * x13 + p47 * x14;
229: pc[12] = m13 = p6 * x8 + p13 * x9 + p20 * x10 + p27 * x11 + p34 * x12 + p41 * x13 + p48 * x14;
230: pc[13] = m14 = p7 * x8 + p14 * x9 + p21 * x10 + p28 * x11 + p35 * x12 + p42 * x13 + p49 * x14;
232: pc[14] = m15 = p1 * x15 + p8 * x16 + p15 * x17 + p22 * x18 + p29 * x19 + p36 * x20 + p43 * x21;
233: pc[15] = m16 = p2 * x15 + p9 * x16 + p16 * x17 + p23 * x18 + p30 * x19 + p37 * x20 + p44 * x21;
234: pc[16] = m17 = p3 * x15 + p10 * x16 + p17 * x17 + p24 * x18 + p31 * x19 + p38 * x20 + p45 * x21;
235: pc[17] = m18 = p4 * x15 + p11 * x16 + p18 * x17 + p25 * x18 + p32 * x19 + p39 * x20 + p46 * x21;
236: pc[18] = m19 = p5 * x15 + p12 * x16 + p19 * x17 + p26 * x18 + p33 * x19 + p40 * x20 + p47 * x21;
237: pc[19] = m20 = p6 * x15 + p13 * x16 + p20 * x17 + p27 * x18 + p34 * x19 + p41 * x20 + p48 * x21;
238: pc[20] = m21 = p7 * x15 + p14 * x16 + p21 * x17 + p28 * x18 + p35 * x19 + p42 * x20 + p49 * x21;
240: pc[21] = m22 = p1 * x22 + p8 * x23 + p15 * x24 + p22 * x25 + p29 * x26 + p36 * x27 + p43 * x28;
241: pc[22] = m23 = p2 * x22 + p9 * x23 + p16 * x24 + p23 * x25 + p30 * x26 + p37 * x27 + p44 * x28;
242: pc[23] = m24 = p3 * x22 + p10 * x23 + p17 * x24 + p24 * x25 + p31 * x26 + p38 * x27 + p45 * x28;
243: pc[24] = m25 = p4 * x22 + p11 * x23 + p18 * x24 + p25 * x25 + p32 * x26 + p39 * x27 + p46 * x28;
244: pc[25] = m26 = p5 * x22 + p12 * x23 + p19 * x24 + p26 * x25 + p33 * x26 + p40 * x27 + p47 * x28;
245: pc[26] = m27 = p6 * x22 + p13 * x23 + p20 * x24 + p27 * x25 + p34 * x26 + p41 * x27 + p48 * x28;
246: pc[27] = m28 = p7 * x22 + p14 * x23 + p21 * x24 + p28 * x25 + p35 * x26 + p42 * x27 + p49 * x28;
248: pc[28] = m29 = p1 * x29 + p8 * x30 + p15 * x31 + p22 * x32 + p29 * x33 + p36 * x34 + p43 * x35;
249: pc[29] = m30 = p2 * x29 + p9 * x30 + p16 * x31 + p23 * x32 + p30 * x33 + p37 * x34 + p44 * x35;
250: pc[30] = m31 = p3 * x29 + p10 * x30 + p17 * x31 + p24 * x32 + p31 * x33 + p38 * x34 + p45 * x35;
251: pc[31] = m32 = p4 * x29 + p11 * x30 + p18 * x31 + p25 * x32 + p32 * x33 + p39 * x34 + p46 * x35;
252: pc[32] = m33 = p5 * x29 + p12 * x30 + p19 * x31 + p26 * x32 + p33 * x33 + p40 * x34 + p47 * x35;
253: pc[33] = m34 = p6 * x29 + p13 * x30 + p20 * x31 + p27 * x32 + p34 * x33 + p41 * x34 + p48 * x35;
254: pc[34] = m35 = p7 * x29 + p14 * x30 + p21 * x31 + p28 * x32 + p35 * x33 + p42 * x34 + p49 * x35;
256: pc[35] = m36 = p1 * x36 + p8 * x37 + p15 * x38 + p22 * x39 + p29 * x40 + p36 * x41 + p43 * x42;
257: pc[36] = m37 = p2 * x36 + p9 * x37 + p16 * x38 + p23 * x39 + p30 * x40 + p37 * x41 + p44 * x42;
258: pc[37] = m38 = p3 * x36 + p10 * x37 + p17 * x38 + p24 * x39 + p31 * x40 + p38 * x41 + p45 * x42;
259: pc[38] = m39 = p4 * x36 + p11 * x37 + p18 * x38 + p25 * x39 + p32 * x40 + p39 * x41 + p46 * x42;
260: pc[39] = m40 = p5 * x36 + p12 * x37 + p19 * x38 + p26 * x39 + p33 * x40 + p40 * x41 + p47 * x42;
261: pc[40] = m41 = p6 * x36 + p13 * x37 + p20 * x38 + p27 * x39 + p34 * x40 + p41 * x41 + p48 * x42;
262: pc[41] = m42 = p7 * x36 + p14 * x37 + p21 * x38 + p28 * x39 + p35 * x40 + p42 * x41 + p49 * x42;
264: pc[42] = m43 = p1 * x43 + p8 * x44 + p15 * x45 + p22 * x46 + p29 * x47 + p36 * x48 + p43 * x49;
265: pc[43] = m44 = p2 * x43 + p9 * x44 + p16 * x45 + p23 * x46 + p30 * x47 + p37 * x48 + p44 * x49;
266: pc[44] = m45 = p3 * x43 + p10 * x44 + p17 * x45 + p24 * x46 + p31 * x47 + p38 * x48 + p45 * x49;
267: pc[45] = m46 = p4 * x43 + p11 * x44 + p18 * x45 + p25 * x46 + p32 * x47 + p39 * x48 + p46 * x49;
268: pc[46] = m47 = p5 * x43 + p12 * x44 + p19 * x45 + p26 * x46 + p33 * x47 + p40 * x48 + p47 * x49;
269: pc[47] = m48 = p6 * x43 + p13 * x44 + p20 * x45 + p27 * x46 + p34 * x47 + p41 * x48 + p48 * x49;
270: pc[48] = m49 = p7 * x43 + p14 * x44 + p21 * x45 + p28 * x46 + p35 * x47 + p42 * x48 + p49 * x49;
272: nz = bi[row + 1] - diag_offset[row] - 1;
273: pv += 49;
274: for (j = 0; j < nz; j++) {
275: x1 = pv[0];
276: x2 = pv[1];
277: x3 = pv[2];
278: x4 = pv[3];
279: x5 = pv[4];
280: x6 = pv[5];
281: x7 = pv[6];
282: x8 = pv[7];
283: x9 = pv[8];
284: x10 = pv[9];
285: x11 = pv[10];
286: x12 = pv[11];
287: x13 = pv[12];
288: x14 = pv[13];
289: x15 = pv[14];
290: x16 = pv[15];
291: x17 = pv[16];
292: x18 = pv[17];
293: x19 = pv[18];
294: x20 = pv[19];
295: x21 = pv[20];
296: x22 = pv[21];
297: x23 = pv[22];
298: x24 = pv[23];
299: x25 = pv[24];
300: x26 = pv[25];
301: x27 = pv[26];
302: x28 = pv[27];
303: x29 = pv[28];
304: x30 = pv[29];
305: x31 = pv[30];
306: x32 = pv[31];
307: x33 = pv[32];
308: x34 = pv[33];
309: x35 = pv[34];
310: x36 = pv[35];
311: x37 = pv[36];
312: x38 = pv[37];
313: x39 = pv[38];
314: x40 = pv[39];
315: x41 = pv[40];
316: x42 = pv[41];
317: x43 = pv[42];
318: x44 = pv[43];
319: x45 = pv[44];
320: x46 = pv[45];
321: x47 = pv[46];
322: x48 = pv[47];
323: x49 = pv[48];
324: x = rtmp + 49 * pj[j];
325: x[0] -= m1 * x1 + m8 * x2 + m15 * x3 + m22 * x4 + m29 * x5 + m36 * x6 + m43 * x7;
326: x[1] -= m2 * x1 + m9 * x2 + m16 * x3 + m23 * x4 + m30 * x5 + m37 * x6 + m44 * x7;
327: x[2] -= m3 * x1 + m10 * x2 + m17 * x3 + m24 * x4 + m31 * x5 + m38 * x6 + m45 * x7;
328: x[3] -= m4 * x1 + m11 * x2 + m18 * x3 + m25 * x4 + m32 * x5 + m39 * x6 + m46 * x7;
329: x[4] -= m5 * x1 + m12 * x2 + m19 * x3 + m26 * x4 + m33 * x5 + m40 * x6 + m47 * x7;
330: x[5] -= m6 * x1 + m13 * x2 + m20 * x3 + m27 * x4 + m34 * x5 + m41 * x6 + m48 * x7;
331: x[6] -= m7 * x1 + m14 * x2 + m21 * x3 + m28 * x4 + m35 * x5 + m42 * x6 + m49 * x7;
333: x[7] -= m1 * x8 + m8 * x9 + m15 * x10 + m22 * x11 + m29 * x12 + m36 * x13 + m43 * x14;
334: x[8] -= m2 * x8 + m9 * x9 + m16 * x10 + m23 * x11 + m30 * x12 + m37 * x13 + m44 * x14;
335: x[9] -= m3 * x8 + m10 * x9 + m17 * x10 + m24 * x11 + m31 * x12 + m38 * x13 + m45 * x14;
336: x[10] -= m4 * x8 + m11 * x9 + m18 * x10 + m25 * x11 + m32 * x12 + m39 * x13 + m46 * x14;
337: x[11] -= m5 * x8 + m12 * x9 + m19 * x10 + m26 * x11 + m33 * x12 + m40 * x13 + m47 * x14;
338: x[12] -= m6 * x8 + m13 * x9 + m20 * x10 + m27 * x11 + m34 * x12 + m41 * x13 + m48 * x14;
339: x[13] -= m7 * x8 + m14 * x9 + m21 * x10 + m28 * x11 + m35 * x12 + m42 * x13 + m49 * x14;
341: x[14] -= m1 * x15 + m8 * x16 + m15 * x17 + m22 * x18 + m29 * x19 + m36 * x20 + m43 * x21;
342: x[15] -= m2 * x15 + m9 * x16 + m16 * x17 + m23 * x18 + m30 * x19 + m37 * x20 + m44 * x21;
343: x[16] -= m3 * x15 + m10 * x16 + m17 * x17 + m24 * x18 + m31 * x19 + m38 * x20 + m45 * x21;
344: x[17] -= m4 * x15 + m11 * x16 + m18 * x17 + m25 * x18 + m32 * x19 + m39 * x20 + m46 * x21;
345: x[18] -= m5 * x15 + m12 * x16 + m19 * x17 + m26 * x18 + m33 * x19 + m40 * x20 + m47 * x21;
346: x[19] -= m6 * x15 + m13 * x16 + m20 * x17 + m27 * x18 + m34 * x19 + m41 * x20 + m48 * x21;
347: x[20] -= m7 * x15 + m14 * x16 + m21 * x17 + m28 * x18 + m35 * x19 + m42 * x20 + m49 * x21;
349: x[21] -= m1 * x22 + m8 * x23 + m15 * x24 + m22 * x25 + m29 * x26 + m36 * x27 + m43 * x28;
350: x[22] -= m2 * x22 + m9 * x23 + m16 * x24 + m23 * x25 + m30 * x26 + m37 * x27 + m44 * x28;
351: x[23] -= m3 * x22 + m10 * x23 + m17 * x24 + m24 * x25 + m31 * x26 + m38 * x27 + m45 * x28;
352: x[24] -= m4 * x22 + m11 * x23 + m18 * x24 + m25 * x25 + m32 * x26 + m39 * x27 + m46 * x28;
353: x[25] -= m5 * x22 + m12 * x23 + m19 * x24 + m26 * x25 + m33 * x26 + m40 * x27 + m47 * x28;
354: x[26] -= m6 * x22 + m13 * x23 + m20 * x24 + m27 * x25 + m34 * x26 + m41 * x27 + m48 * x28;
355: x[27] -= m7 * x22 + m14 * x23 + m21 * x24 + m28 * x25 + m35 * x26 + m42 * x27 + m49 * x28;
357: x[28] -= m1 * x29 + m8 * x30 + m15 * x31 + m22 * x32 + m29 * x33 + m36 * x34 + m43 * x35;
358: x[29] -= m2 * x29 + m9 * x30 + m16 * x31 + m23 * x32 + m30 * x33 + m37 * x34 + m44 * x35;
359: x[30] -= m3 * x29 + m10 * x30 + m17 * x31 + m24 * x32 + m31 * x33 + m38 * x34 + m45 * x35;
360: x[31] -= m4 * x29 + m11 * x30 + m18 * x31 + m25 * x32 + m32 * x33 + m39 * x34 + m46 * x35;
361: x[32] -= m5 * x29 + m12 * x30 + m19 * x31 + m26 * x32 + m33 * x33 + m40 * x34 + m47 * x35;
362: x[33] -= m6 * x29 + m13 * x30 + m20 * x31 + m27 * x32 + m34 * x33 + m41 * x34 + m48 * x35;
363: x[34] -= m7 * x29 + m14 * x30 + m21 * x31 + m28 * x32 + m35 * x33 + m42 * x34 + m49 * x35;
365: x[35] -= m1 * x36 + m8 * x37 + m15 * x38 + m22 * x39 + m29 * x40 + m36 * x41 + m43 * x42;
366: x[36] -= m2 * x36 + m9 * x37 + m16 * x38 + m23 * x39 + m30 * x40 + m37 * x41 + m44 * x42;
367: x[37] -= m3 * x36 + m10 * x37 + m17 * x38 + m24 * x39 + m31 * x40 + m38 * x41 + m45 * x42;
368: x[38] -= m4 * x36 + m11 * x37 + m18 * x38 + m25 * x39 + m32 * x40 + m39 * x41 + m46 * x42;
369: x[39] -= m5 * x36 + m12 * x37 + m19 * x38 + m26 * x39 + m33 * x40 + m40 * x41 + m47 * x42;
370: x[40] -= m6 * x36 + m13 * x37 + m20 * x38 + m27 * x39 + m34 * x40 + m41 * x41 + m48 * x42;
371: x[41] -= m7 * x36 + m14 * x37 + m21 * x38 + m28 * x39 + m35 * x40 + m42 * x41 + m49 * x42;
373: x[42] -= m1 * x43 + m8 * x44 + m15 * x45 + m22 * x46 + m29 * x47 + m36 * x48 + m43 * x49;
374: x[43] -= m2 * x43 + m9 * x44 + m16 * x45 + m23 * x46 + m30 * x47 + m37 * x48 + m44 * x49;
375: x[44] -= m3 * x43 + m10 * x44 + m17 * x45 + m24 * x46 + m31 * x47 + m38 * x48 + m45 * x49;
376: x[45] -= m4 * x43 + m11 * x44 + m18 * x45 + m25 * x46 + m32 * x47 + m39 * x48 + m46 * x49;
377: x[46] -= m5 * x43 + m12 * x44 + m19 * x45 + m26 * x46 + m33 * x47 + m40 * x48 + m47 * x49;
378: x[47] -= m6 * x43 + m13 * x44 + m20 * x45 + m27 * x46 + m34 * x47 + m41 * x48 + m48 * x49;
379: x[48] -= m7 * x43 + m14 * x44 + m21 * x45 + m28 * x46 + m35 * x47 + m42 * x48 + m49 * x49;
380: pv += 49;
381: }
382: PetscCall(PetscLogFlops(686.0 * nz + 637.0));
383: }
384: row = *ajtmp++;
385: }
386: /* finished row so stick it into b->a */
387: pv = ba + 49 * bi[i];
388: pj = bj + bi[i];
389: nz = bi[i + 1] - bi[i];
390: for (j = 0; j < nz; j++) {
391: x = rtmp + 49 * pj[j];
392: pv[0] = x[0];
393: pv[1] = x[1];
394: pv[2] = x[2];
395: pv[3] = x[3];
396: pv[4] = x[4];
397: pv[5] = x[5];
398: pv[6] = x[6];
399: pv[7] = x[7];
400: pv[8] = x[8];
401: pv[9] = x[9];
402: pv[10] = x[10];
403: pv[11] = x[11];
404: pv[12] = x[12];
405: pv[13] = x[13];
406: pv[14] = x[14];
407: pv[15] = x[15];
408: pv[16] = x[16];
409: pv[17] = x[17];
410: pv[18] = x[18];
411: pv[19] = x[19];
412: pv[20] = x[20];
413: pv[21] = x[21];
414: pv[22] = x[22];
415: pv[23] = x[23];
416: pv[24] = x[24];
417: pv[25] = x[25];
418: pv[26] = x[26];
419: pv[27] = x[27];
420: pv[28] = x[28];
421: pv[29] = x[29];
422: pv[30] = x[30];
423: pv[31] = x[31];
424: pv[32] = x[32];
425: pv[33] = x[33];
426: pv[34] = x[34];
427: pv[35] = x[35];
428: pv[36] = x[36];
429: pv[37] = x[37];
430: pv[38] = x[38];
431: pv[39] = x[39];
432: pv[40] = x[40];
433: pv[41] = x[41];
434: pv[42] = x[42];
435: pv[43] = x[43];
436: pv[44] = x[44];
437: pv[45] = x[45];
438: pv[46] = x[46];
439: pv[47] = x[47];
440: pv[48] = x[48];
441: pv += 49;
442: }
443: /* invert diagonal block */
444: w = ba + 49 * diag_offset[i];
445: PetscCall(PetscKernel_A_gets_inverse_A_7(w, shift, allowzeropivot, &zeropivotdetected));
446: if (zeropivotdetected) C->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
447: }
449: PetscCall(PetscFree(rtmp));
450: PetscCall(ISRestoreIndices(isicol, &ic));
451: PetscCall(ISRestoreIndices(isrow, &r));
453: C->ops->solve = MatSolve_SeqBAIJ_7_inplace;
454: C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_7_inplace;
455: C->assembled = PETSC_TRUE;
457: PetscCall(PetscLogFlops(1.333333333333 * 7 * 7 * 7 * b->mbs)); /* from inverting diagonal blocks */
458: PetscFunctionReturn(PETSC_SUCCESS);
459: }
461: PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7(Mat B, Mat A, const MatFactorInfo *info)
462: {
463: Mat C = B;
464: Mat_SeqBAIJ *a = (Mat_SeqBAIJ *)A->data, *b = (Mat_SeqBAIJ *)C->data;
465: IS isrow = b->row, isicol = b->icol;
466: const PetscInt *r, *ic;
467: PetscInt i, j, k, nz, nzL, row;
468: const PetscInt n = a->mbs, *ai = a->i, *aj = a->j, *bi = b->i, *bj = b->j;
469: const PetscInt *ajtmp, *bjtmp, *bdiag = b->diag, *pj, bs2 = a->bs2;
470: MatScalar *rtmp, *pc, *mwork, *v, *pv, *aa = a->a;
471: PetscInt flg;
472: PetscReal shift = info->shiftamount;
473: PetscBool allowzeropivot, zeropivotdetected;
475: PetscFunctionBegin;
476: allowzeropivot = PetscNot(A->erroriffailure);
477: PetscCall(ISGetIndices(isrow, &r));
478: PetscCall(ISGetIndices(isicol, &ic));
480: /* generate work space needed by the factorization */
481: PetscCall(PetscMalloc2(bs2 * n, &rtmp, bs2, &mwork));
482: PetscCall(PetscArrayzero(rtmp, bs2 * n));
484: for (i = 0; i < n; i++) {
485: /* zero rtmp */
486: /* L part */
487: nz = bi[i + 1] - bi[i];
488: bjtmp = bj + bi[i];
489: for (j = 0; j < nz; j++) PetscCall(PetscArrayzero(rtmp + bs2 * bjtmp[j], bs2));
491: /* U part */
492: nz = bdiag[i] - bdiag[i + 1];
493: bjtmp = bj + bdiag[i + 1] + 1;
494: for (j = 0; j < nz; j++) PetscCall(PetscArrayzero(rtmp + bs2 * bjtmp[j], bs2));
496: /* load in initial (unfactored row) */
497: nz = ai[r[i] + 1] - ai[r[i]];
498: ajtmp = aj + ai[r[i]];
499: v = aa + bs2 * ai[r[i]];
500: for (j = 0; j < nz; j++) PetscCall(PetscArraycpy(rtmp + bs2 * ic[ajtmp[j]], v + bs2 * j, bs2));
502: /* elimination */
503: bjtmp = bj + bi[i];
504: nzL = bi[i + 1] - bi[i];
505: for (k = 0; k < nzL; k++) {
506: row = bjtmp[k];
507: pc = rtmp + bs2 * row;
508: for (flg = 0, j = 0; j < bs2; j++) {
509: if (pc[j] != 0.0) {
510: flg = 1;
511: break;
512: }
513: }
514: if (flg) {
515: pv = b->a + bs2 * bdiag[row];
516: /* PetscKernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */
517: PetscCall(PetscKernel_A_gets_A_times_B_7(pc, pv, mwork));
519: pj = b->j + bdiag[row + 1] + 1; /* beginning of U(row,:) */
520: pv = b->a + bs2 * (bdiag[row + 1] + 1);
521: nz = bdiag[row] - bdiag[row + 1] - 1; /* num of entries inU(row,:), excluding diag */
522: for (j = 0; j < nz; j++) {
523: /* PetscKernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */
524: /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */
525: v = rtmp + bs2 * pj[j];
526: PetscCall(PetscKernel_A_gets_A_minus_B_times_C_7(v, pc, pv));
527: pv += bs2;
528: }
529: PetscCall(PetscLogFlops(686.0 * nz + 637)); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */
530: }
531: }
533: /* finished row so stick it into b->a */
534: /* L part */
535: pv = b->a + bs2 * bi[i];
536: pj = b->j + bi[i];
537: nz = bi[i + 1] - bi[i];
538: for (j = 0; j < nz; j++) PetscCall(PetscArraycpy(pv + bs2 * j, rtmp + bs2 * pj[j], bs2));
540: /* Mark diagonal and invert diagonal for simpler triangular solves */
541: pv = b->a + bs2 * bdiag[i];
542: pj = b->j + bdiag[i];
543: PetscCall(PetscArraycpy(pv, rtmp + bs2 * pj[0], bs2));
544: PetscCall(PetscKernel_A_gets_inverse_A_7(pv, shift, allowzeropivot, &zeropivotdetected));
545: if (zeropivotdetected) C->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
547: /* U part */
548: pv = b->a + bs2 * (bdiag[i + 1] + 1);
549: pj = b->j + bdiag[i + 1] + 1;
550: nz = bdiag[i] - bdiag[i + 1] - 1;
551: for (j = 0; j < nz; j++) PetscCall(PetscArraycpy(pv + bs2 * j, rtmp + bs2 * pj[j], bs2));
552: }
554: PetscCall(PetscFree2(rtmp, mwork));
555: PetscCall(ISRestoreIndices(isicol, &ic));
556: PetscCall(ISRestoreIndices(isrow, &r));
558: C->ops->solve = MatSolve_SeqBAIJ_7;
559: C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_7;
560: C->assembled = PETSC_TRUE;
562: PetscCall(PetscLogFlops(1.333333333333 * 7 * 7 * 7 * n)); /* from inverting diagonal blocks */
563: PetscFunctionReturn(PETSC_SUCCESS);
564: }
566: PetscErrorCode MatILUFactorNumeric_SeqBAIJ_7_NaturalOrdering_inplace(Mat C, Mat A, const MatFactorInfo *info)
567: {
568: Mat_SeqBAIJ *a = (Mat_SeqBAIJ *)A->data, *b = (Mat_SeqBAIJ *)C->data;
569: PetscInt i, j, n = a->mbs, *bi = b->i, *bj = b->j;
570: PetscInt *ajtmpold, *ajtmp, nz, row;
571: PetscInt *ai = a->i, *aj = a->j, *pj;
572: const PetscInt *diag_offset;
573: MatScalar *pv, *v, *rtmp, *pc, *w, *x;
574: MatScalar x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15;
575: MatScalar x16, x17, x18, x19, x20, x21, x22, x23, x24, x25;
576: MatScalar p1, p2, p3, p4, p5, p6, p7, p8, p9, p10, p11, p12, p13, p14, p15;
577: MatScalar p16, p17, p18, p19, p20, p21, p22, p23, p24, p25;
578: MatScalar m1, m2, m3, m4, m5, m6, m7, m8, m9, m10, m11, m12, m13, m14, m15;
579: MatScalar m16, m17, m18, m19, m20, m21, m22, m23, m24, m25;
580: MatScalar p26, p27, p28, p29, p30, p31, p32, p33, p34, p35, p36;
581: MatScalar p37, p38, p39, p40, p41, p42, p43, p44, p45, p46, p47, p48, p49;
582: MatScalar x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x36;
583: MatScalar x37, x38, x39, x40, x41, x42, x43, x44, x45, x46, x47, x48, x49;
584: MatScalar m26, m27, m28, m29, m30, m31, m32, m33, m34, m35, m36;
585: MatScalar m37, m38, m39, m40, m41, m42, m43, m44, m45, m46, m47, m48, m49;
586: MatScalar *ba = b->a, *aa = a->a;
587: PetscReal shift = info->shiftamount;
588: PetscBool allowzeropivot, zeropivotdetected;
590: PetscFunctionBegin;
591: /* Since A is C and C is labeled as a factored matrix we need to lie to MatGetDiagonalMarkers_SeqBAIJ() to get it to compute the diagonals */
592: A->factortype = MAT_FACTOR_NONE;
593: PetscCall(MatGetDiagonalMarkers_SeqBAIJ(A, &diag_offset, NULL));
594: A->factortype = MAT_FACTOR_ILU;
595: allowzeropivot = PetscNot(A->erroriffailure);
596: PetscCall(PetscMalloc1(49 * (n + 1), &rtmp));
597: for (i = 0; i < n; i++) {
598: nz = bi[i + 1] - bi[i];
599: ajtmp = bj + bi[i];
600: for (j = 0; j < nz; j++) {
601: x = rtmp + 49 * ajtmp[j];
602: x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0;
603: x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0;
604: x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0;
605: x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0;
606: x[34] = x[35] = x[36] = x[37] = x[38] = x[39] = x[40] = x[41] = 0.0;
607: x[42] = x[43] = x[44] = x[45] = x[46] = x[47] = x[48] = 0.0;
608: }
609: /* load in initial (unfactored row) */
610: nz = ai[i + 1] - ai[i];
611: ajtmpold = aj + ai[i];
612: v = aa + 49 * ai[i];
613: for (j = 0; j < nz; j++) {
614: x = rtmp + 49 * ajtmpold[j];
615: x[0] = v[0];
616: x[1] = v[1];
617: x[2] = v[2];
618: x[3] = v[3];
619: x[4] = v[4];
620: x[5] = v[5];
621: x[6] = v[6];
622: x[7] = v[7];
623: x[8] = v[8];
624: x[9] = v[9];
625: x[10] = v[10];
626: x[11] = v[11];
627: x[12] = v[12];
628: x[13] = v[13];
629: x[14] = v[14];
630: x[15] = v[15];
631: x[16] = v[16];
632: x[17] = v[17];
633: x[18] = v[18];
634: x[19] = v[19];
635: x[20] = v[20];
636: x[21] = v[21];
637: x[22] = v[22];
638: x[23] = v[23];
639: x[24] = v[24];
640: x[25] = v[25];
641: x[26] = v[26];
642: x[27] = v[27];
643: x[28] = v[28];
644: x[29] = v[29];
645: x[30] = v[30];
646: x[31] = v[31];
647: x[32] = v[32];
648: x[33] = v[33];
649: x[34] = v[34];
650: x[35] = v[35];
651: x[36] = v[36];
652: x[37] = v[37];
653: x[38] = v[38];
654: x[39] = v[39];
655: x[40] = v[40];
656: x[41] = v[41];
657: x[42] = v[42];
658: x[43] = v[43];
659: x[44] = v[44];
660: x[45] = v[45];
661: x[46] = v[46];
662: x[47] = v[47];
663: x[48] = v[48];
664: v += 49;
665: }
666: row = *ajtmp++;
667: while (row < i) {
668: pc = rtmp + 49 * row;
669: p1 = pc[0];
670: p2 = pc[1];
671: p3 = pc[2];
672: p4 = pc[3];
673: p5 = pc[4];
674: p6 = pc[5];
675: p7 = pc[6];
676: p8 = pc[7];
677: p9 = pc[8];
678: p10 = pc[9];
679: p11 = pc[10];
680: p12 = pc[11];
681: p13 = pc[12];
682: p14 = pc[13];
683: p15 = pc[14];
684: p16 = pc[15];
685: p17 = pc[16];
686: p18 = pc[17];
687: p19 = pc[18];
688: p20 = pc[19];
689: p21 = pc[20];
690: p22 = pc[21];
691: p23 = pc[22];
692: p24 = pc[23];
693: p25 = pc[24];
694: p26 = pc[25];
695: p27 = pc[26];
696: p28 = pc[27];
697: p29 = pc[28];
698: p30 = pc[29];
699: p31 = pc[30];
700: p32 = pc[31];
701: p33 = pc[32];
702: p34 = pc[33];
703: p35 = pc[34];
704: p36 = pc[35];
705: p37 = pc[36];
706: p38 = pc[37];
707: p39 = pc[38];
708: p40 = pc[39];
709: p41 = pc[40];
710: p42 = pc[41];
711: p43 = pc[42];
712: p44 = pc[43];
713: p45 = pc[44];
714: p46 = pc[45];
715: p47 = pc[46];
716: p48 = pc[47];
717: p49 = pc[48];
718: if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0 || p37 != 0.0 || p38 != 0.0 || p39 != 0.0 || p40 != 0.0 || p41 != 0.0 || p42 != 0.0 || p43 != 0.0 || p44 != 0.0 || p45 != 0.0 || p46 != 0.0 || p47 != 0.0 || p48 != 0.0 || p49 != 0.0) {
719: pv = ba + 49 * diag_offset[row];
720: pj = bj + diag_offset[row] + 1;
721: x1 = pv[0];
722: x2 = pv[1];
723: x3 = pv[2];
724: x4 = pv[3];
725: x5 = pv[4];
726: x6 = pv[5];
727: x7 = pv[6];
728: x8 = pv[7];
729: x9 = pv[8];
730: x10 = pv[9];
731: x11 = pv[10];
732: x12 = pv[11];
733: x13 = pv[12];
734: x14 = pv[13];
735: x15 = pv[14];
736: x16 = pv[15];
737: x17 = pv[16];
738: x18 = pv[17];
739: x19 = pv[18];
740: x20 = pv[19];
741: x21 = pv[20];
742: x22 = pv[21];
743: x23 = pv[22];
744: x24 = pv[23];
745: x25 = pv[24];
746: x26 = pv[25];
747: x27 = pv[26];
748: x28 = pv[27];
749: x29 = pv[28];
750: x30 = pv[29];
751: x31 = pv[30];
752: x32 = pv[31];
753: x33 = pv[32];
754: x34 = pv[33];
755: x35 = pv[34];
756: x36 = pv[35];
757: x37 = pv[36];
758: x38 = pv[37];
759: x39 = pv[38];
760: x40 = pv[39];
761: x41 = pv[40];
762: x42 = pv[41];
763: x43 = pv[42];
764: x44 = pv[43];
765: x45 = pv[44];
766: x46 = pv[45];
767: x47 = pv[46];
768: x48 = pv[47];
769: x49 = pv[48];
770: pc[0] = m1 = p1 * x1 + p8 * x2 + p15 * x3 + p22 * x4 + p29 * x5 + p36 * x6 + p43 * x7;
771: pc[1] = m2 = p2 * x1 + p9 * x2 + p16 * x3 + p23 * x4 + p30 * x5 + p37 * x6 + p44 * x7;
772: pc[2] = m3 = p3 * x1 + p10 * x2 + p17 * x3 + p24 * x4 + p31 * x5 + p38 * x6 + p45 * x7;
773: pc[3] = m4 = p4 * x1 + p11 * x2 + p18 * x3 + p25 * x4 + p32 * x5 + p39 * x6 + p46 * x7;
774: pc[4] = m5 = p5 * x1 + p12 * x2 + p19 * x3 + p26 * x4 + p33 * x5 + p40 * x6 + p47 * x7;
775: pc[5] = m6 = p6 * x1 + p13 * x2 + p20 * x3 + p27 * x4 + p34 * x5 + p41 * x6 + p48 * x7;
776: pc[6] = m7 = p7 * x1 + p14 * x2 + p21 * x3 + p28 * x4 + p35 * x5 + p42 * x6 + p49 * x7;
778: pc[7] = m8 = p1 * x8 + p8 * x9 + p15 * x10 + p22 * x11 + p29 * x12 + p36 * x13 + p43 * x14;
779: pc[8] = m9 = p2 * x8 + p9 * x9 + p16 * x10 + p23 * x11 + p30 * x12 + p37 * x13 + p44 * x14;
780: pc[9] = m10 = p3 * x8 + p10 * x9 + p17 * x10 + p24 * x11 + p31 * x12 + p38 * x13 + p45 * x14;
781: pc[10] = m11 = p4 * x8 + p11 * x9 + p18 * x10 + p25 * x11 + p32 * x12 + p39 * x13 + p46 * x14;
782: pc[11] = m12 = p5 * x8 + p12 * x9 + p19 * x10 + p26 * x11 + p33 * x12 + p40 * x13 + p47 * x14;
783: pc[12] = m13 = p6 * x8 + p13 * x9 + p20 * x10 + p27 * x11 + p34 * x12 + p41 * x13 + p48 * x14;
784: pc[13] = m14 = p7 * x8 + p14 * x9 + p21 * x10 + p28 * x11 + p35 * x12 + p42 * x13 + p49 * x14;
786: pc[14] = m15 = p1 * x15 + p8 * x16 + p15 * x17 + p22 * x18 + p29 * x19 + p36 * x20 + p43 * x21;
787: pc[15] = m16 = p2 * x15 + p9 * x16 + p16 * x17 + p23 * x18 + p30 * x19 + p37 * x20 + p44 * x21;
788: pc[16] = m17 = p3 * x15 + p10 * x16 + p17 * x17 + p24 * x18 + p31 * x19 + p38 * x20 + p45 * x21;
789: pc[17] = m18 = p4 * x15 + p11 * x16 + p18 * x17 + p25 * x18 + p32 * x19 + p39 * x20 + p46 * x21;
790: pc[18] = m19 = p5 * x15 + p12 * x16 + p19 * x17 + p26 * x18 + p33 * x19 + p40 * x20 + p47 * x21;
791: pc[19] = m20 = p6 * x15 + p13 * x16 + p20 * x17 + p27 * x18 + p34 * x19 + p41 * x20 + p48 * x21;
792: pc[20] = m21 = p7 * x15 + p14 * x16 + p21 * x17 + p28 * x18 + p35 * x19 + p42 * x20 + p49 * x21;
794: pc[21] = m22 = p1 * x22 + p8 * x23 + p15 * x24 + p22 * x25 + p29 * x26 + p36 * x27 + p43 * x28;
795: pc[22] = m23 = p2 * x22 + p9 * x23 + p16 * x24 + p23 * x25 + p30 * x26 + p37 * x27 + p44 * x28;
796: pc[23] = m24 = p3 * x22 + p10 * x23 + p17 * x24 + p24 * x25 + p31 * x26 + p38 * x27 + p45 * x28;
797: pc[24] = m25 = p4 * x22 + p11 * x23 + p18 * x24 + p25 * x25 + p32 * x26 + p39 * x27 + p46 * x28;
798: pc[25] = m26 = p5 * x22 + p12 * x23 + p19 * x24 + p26 * x25 + p33 * x26 + p40 * x27 + p47 * x28;
799: pc[26] = m27 = p6 * x22 + p13 * x23 + p20 * x24 + p27 * x25 + p34 * x26 + p41 * x27 + p48 * x28;
800: pc[27] = m28 = p7 * x22 + p14 * x23 + p21 * x24 + p28 * x25 + p35 * x26 + p42 * x27 + p49 * x28;
802: pc[28] = m29 = p1 * x29 + p8 * x30 + p15 * x31 + p22 * x32 + p29 * x33 + p36 * x34 + p43 * x35;
803: pc[29] = m30 = p2 * x29 + p9 * x30 + p16 * x31 + p23 * x32 + p30 * x33 + p37 * x34 + p44 * x35;
804: pc[30] = m31 = p3 * x29 + p10 * x30 + p17 * x31 + p24 * x32 + p31 * x33 + p38 * x34 + p45 * x35;
805: pc[31] = m32 = p4 * x29 + p11 * x30 + p18 * x31 + p25 * x32 + p32 * x33 + p39 * x34 + p46 * x35;
806: pc[32] = m33 = p5 * x29 + p12 * x30 + p19 * x31 + p26 * x32 + p33 * x33 + p40 * x34 + p47 * x35;
807: pc[33] = m34 = p6 * x29 + p13 * x30 + p20 * x31 + p27 * x32 + p34 * x33 + p41 * x34 + p48 * x35;
808: pc[34] = m35 = p7 * x29 + p14 * x30 + p21 * x31 + p28 * x32 + p35 * x33 + p42 * x34 + p49 * x35;
810: pc[35] = m36 = p1 * x36 + p8 * x37 + p15 * x38 + p22 * x39 + p29 * x40 + p36 * x41 + p43 * x42;
811: pc[36] = m37 = p2 * x36 + p9 * x37 + p16 * x38 + p23 * x39 + p30 * x40 + p37 * x41 + p44 * x42;
812: pc[37] = m38 = p3 * x36 + p10 * x37 + p17 * x38 + p24 * x39 + p31 * x40 + p38 * x41 + p45 * x42;
813: pc[38] = m39 = p4 * x36 + p11 * x37 + p18 * x38 + p25 * x39 + p32 * x40 + p39 * x41 + p46 * x42;
814: pc[39] = m40 = p5 * x36 + p12 * x37 + p19 * x38 + p26 * x39 + p33 * x40 + p40 * x41 + p47 * x42;
815: pc[40] = m41 = p6 * x36 + p13 * x37 + p20 * x38 + p27 * x39 + p34 * x40 + p41 * x41 + p48 * x42;
816: pc[41] = m42 = p7 * x36 + p14 * x37 + p21 * x38 + p28 * x39 + p35 * x40 + p42 * x41 + p49 * x42;
818: pc[42] = m43 = p1 * x43 + p8 * x44 + p15 * x45 + p22 * x46 + p29 * x47 + p36 * x48 + p43 * x49;
819: pc[43] = m44 = p2 * x43 + p9 * x44 + p16 * x45 + p23 * x46 + p30 * x47 + p37 * x48 + p44 * x49;
820: pc[44] = m45 = p3 * x43 + p10 * x44 + p17 * x45 + p24 * x46 + p31 * x47 + p38 * x48 + p45 * x49;
821: pc[45] = m46 = p4 * x43 + p11 * x44 + p18 * x45 + p25 * x46 + p32 * x47 + p39 * x48 + p46 * x49;
822: pc[46] = m47 = p5 * x43 + p12 * x44 + p19 * x45 + p26 * x46 + p33 * x47 + p40 * x48 + p47 * x49;
823: pc[47] = m48 = p6 * x43 + p13 * x44 + p20 * x45 + p27 * x46 + p34 * x47 + p41 * x48 + p48 * x49;
824: pc[48] = m49 = p7 * x43 + p14 * x44 + p21 * x45 + p28 * x46 + p35 * x47 + p42 * x48 + p49 * x49;
826: nz = bi[row + 1] - diag_offset[row] - 1;
827: pv += 49;
828: for (j = 0; j < nz; j++) {
829: x1 = pv[0];
830: x2 = pv[1];
831: x3 = pv[2];
832: x4 = pv[3];
833: x5 = pv[4];
834: x6 = pv[5];
835: x7 = pv[6];
836: x8 = pv[7];
837: x9 = pv[8];
838: x10 = pv[9];
839: x11 = pv[10];
840: x12 = pv[11];
841: x13 = pv[12];
842: x14 = pv[13];
843: x15 = pv[14];
844: x16 = pv[15];
845: x17 = pv[16];
846: x18 = pv[17];
847: x19 = pv[18];
848: x20 = pv[19];
849: x21 = pv[20];
850: x22 = pv[21];
851: x23 = pv[22];
852: x24 = pv[23];
853: x25 = pv[24];
854: x26 = pv[25];
855: x27 = pv[26];
856: x28 = pv[27];
857: x29 = pv[28];
858: x30 = pv[29];
859: x31 = pv[30];
860: x32 = pv[31];
861: x33 = pv[32];
862: x34 = pv[33];
863: x35 = pv[34];
864: x36 = pv[35];
865: x37 = pv[36];
866: x38 = pv[37];
867: x39 = pv[38];
868: x40 = pv[39];
869: x41 = pv[40];
870: x42 = pv[41];
871: x43 = pv[42];
872: x44 = pv[43];
873: x45 = pv[44];
874: x46 = pv[45];
875: x47 = pv[46];
876: x48 = pv[47];
877: x49 = pv[48];
878: x = rtmp + 49 * pj[j];
879: x[0] -= m1 * x1 + m8 * x2 + m15 * x3 + m22 * x4 + m29 * x5 + m36 * x6 + m43 * x7;
880: x[1] -= m2 * x1 + m9 * x2 + m16 * x3 + m23 * x4 + m30 * x5 + m37 * x6 + m44 * x7;
881: x[2] -= m3 * x1 + m10 * x2 + m17 * x3 + m24 * x4 + m31 * x5 + m38 * x6 + m45 * x7;
882: x[3] -= m4 * x1 + m11 * x2 + m18 * x3 + m25 * x4 + m32 * x5 + m39 * x6 + m46 * x7;
883: x[4] -= m5 * x1 + m12 * x2 + m19 * x3 + m26 * x4 + m33 * x5 + m40 * x6 + m47 * x7;
884: x[5] -= m6 * x1 + m13 * x2 + m20 * x3 + m27 * x4 + m34 * x5 + m41 * x6 + m48 * x7;
885: x[6] -= m7 * x1 + m14 * x2 + m21 * x3 + m28 * x4 + m35 * x5 + m42 * x6 + m49 * x7;
887: x[7] -= m1 * x8 + m8 * x9 + m15 * x10 + m22 * x11 + m29 * x12 + m36 * x13 + m43 * x14;
888: x[8] -= m2 * x8 + m9 * x9 + m16 * x10 + m23 * x11 + m30 * x12 + m37 * x13 + m44 * x14;
889: x[9] -= m3 * x8 + m10 * x9 + m17 * x10 + m24 * x11 + m31 * x12 + m38 * x13 + m45 * x14;
890: x[10] -= m4 * x8 + m11 * x9 + m18 * x10 + m25 * x11 + m32 * x12 + m39 * x13 + m46 * x14;
891: x[11] -= m5 * x8 + m12 * x9 + m19 * x10 + m26 * x11 + m33 * x12 + m40 * x13 + m47 * x14;
892: x[12] -= m6 * x8 + m13 * x9 + m20 * x10 + m27 * x11 + m34 * x12 + m41 * x13 + m48 * x14;
893: x[13] -= m7 * x8 + m14 * x9 + m21 * x10 + m28 * x11 + m35 * x12 + m42 * x13 + m49 * x14;
895: x[14] -= m1 * x15 + m8 * x16 + m15 * x17 + m22 * x18 + m29 * x19 + m36 * x20 + m43 * x21;
896: x[15] -= m2 * x15 + m9 * x16 + m16 * x17 + m23 * x18 + m30 * x19 + m37 * x20 + m44 * x21;
897: x[16] -= m3 * x15 + m10 * x16 + m17 * x17 + m24 * x18 + m31 * x19 + m38 * x20 + m45 * x21;
898: x[17] -= m4 * x15 + m11 * x16 + m18 * x17 + m25 * x18 + m32 * x19 + m39 * x20 + m46 * x21;
899: x[18] -= m5 * x15 + m12 * x16 + m19 * x17 + m26 * x18 + m33 * x19 + m40 * x20 + m47 * x21;
900: x[19] -= m6 * x15 + m13 * x16 + m20 * x17 + m27 * x18 + m34 * x19 + m41 * x20 + m48 * x21;
901: x[20] -= m7 * x15 + m14 * x16 + m21 * x17 + m28 * x18 + m35 * x19 + m42 * x20 + m49 * x21;
903: x[21] -= m1 * x22 + m8 * x23 + m15 * x24 + m22 * x25 + m29 * x26 + m36 * x27 + m43 * x28;
904: x[22] -= m2 * x22 + m9 * x23 + m16 * x24 + m23 * x25 + m30 * x26 + m37 * x27 + m44 * x28;
905: x[23] -= m3 * x22 + m10 * x23 + m17 * x24 + m24 * x25 + m31 * x26 + m38 * x27 + m45 * x28;
906: x[24] -= m4 * x22 + m11 * x23 + m18 * x24 + m25 * x25 + m32 * x26 + m39 * x27 + m46 * x28;
907: x[25] -= m5 * x22 + m12 * x23 + m19 * x24 + m26 * x25 + m33 * x26 + m40 * x27 + m47 * x28;
908: x[26] -= m6 * x22 + m13 * x23 + m20 * x24 + m27 * x25 + m34 * x26 + m41 * x27 + m48 * x28;
909: x[27] -= m7 * x22 + m14 * x23 + m21 * x24 + m28 * x25 + m35 * x26 + m42 * x27 + m49 * x28;
911: x[28] -= m1 * x29 + m8 * x30 + m15 * x31 + m22 * x32 + m29 * x33 + m36 * x34 + m43 * x35;
912: x[29] -= m2 * x29 + m9 * x30 + m16 * x31 + m23 * x32 + m30 * x33 + m37 * x34 + m44 * x35;
913: x[30] -= m3 * x29 + m10 * x30 + m17 * x31 + m24 * x32 + m31 * x33 + m38 * x34 + m45 * x35;
914: x[31] -= m4 * x29 + m11 * x30 + m18 * x31 + m25 * x32 + m32 * x33 + m39 * x34 + m46 * x35;
915: x[32] -= m5 * x29 + m12 * x30 + m19 * x31 + m26 * x32 + m33 * x33 + m40 * x34 + m47 * x35;
916: x[33] -= m6 * x29 + m13 * x30 + m20 * x31 + m27 * x32 + m34 * x33 + m41 * x34 + m48 * x35;
917: x[34] -= m7 * x29 + m14 * x30 + m21 * x31 + m28 * x32 + m35 * x33 + m42 * x34 + m49 * x35;
919: x[35] -= m1 * x36 + m8 * x37 + m15 * x38 + m22 * x39 + m29 * x40 + m36 * x41 + m43 * x42;
920: x[36] -= m2 * x36 + m9 * x37 + m16 * x38 + m23 * x39 + m30 * x40 + m37 * x41 + m44 * x42;
921: x[37] -= m3 * x36 + m10 * x37 + m17 * x38 + m24 * x39 + m31 * x40 + m38 * x41 + m45 * x42;
922: x[38] -= m4 * x36 + m11 * x37 + m18 * x38 + m25 * x39 + m32 * x40 + m39 * x41 + m46 * x42;
923: x[39] -= m5 * x36 + m12 * x37 + m19 * x38 + m26 * x39 + m33 * x40 + m40 * x41 + m47 * x42;
924: x[40] -= m6 * x36 + m13 * x37 + m20 * x38 + m27 * x39 + m34 * x40 + m41 * x41 + m48 * x42;
925: x[41] -= m7 * x36 + m14 * x37 + m21 * x38 + m28 * x39 + m35 * x40 + m42 * x41 + m49 * x42;
927: x[42] -= m1 * x43 + m8 * x44 + m15 * x45 + m22 * x46 + m29 * x47 + m36 * x48 + m43 * x49;
928: x[43] -= m2 * x43 + m9 * x44 + m16 * x45 + m23 * x46 + m30 * x47 + m37 * x48 + m44 * x49;
929: x[44] -= m3 * x43 + m10 * x44 + m17 * x45 + m24 * x46 + m31 * x47 + m38 * x48 + m45 * x49;
930: x[45] -= m4 * x43 + m11 * x44 + m18 * x45 + m25 * x46 + m32 * x47 + m39 * x48 + m46 * x49;
931: x[46] -= m5 * x43 + m12 * x44 + m19 * x45 + m26 * x46 + m33 * x47 + m40 * x48 + m47 * x49;
932: x[47] -= m6 * x43 + m13 * x44 + m20 * x45 + m27 * x46 + m34 * x47 + m41 * x48 + m48 * x49;
933: x[48] -= m7 * x43 + m14 * x44 + m21 * x45 + m28 * x46 + m35 * x47 + m42 * x48 + m49 * x49;
934: pv += 49;
935: }
936: PetscCall(PetscLogFlops(686.0 * nz + 637.0));
937: }
938: row = *ajtmp++;
939: }
940: /* finished row so stick it into b->a */
941: pv = ba + 49 * bi[i];
942: pj = bj + bi[i];
943: nz = bi[i + 1] - bi[i];
944: for (j = 0; j < nz; j++) {
945: x = rtmp + 49 * pj[j];
946: pv[0] = x[0];
947: pv[1] = x[1];
948: pv[2] = x[2];
949: pv[3] = x[3];
950: pv[4] = x[4];
951: pv[5] = x[5];
952: pv[6] = x[6];
953: pv[7] = x[7];
954: pv[8] = x[8];
955: pv[9] = x[9];
956: pv[10] = x[10];
957: pv[11] = x[11];
958: pv[12] = x[12];
959: pv[13] = x[13];
960: pv[14] = x[14];
961: pv[15] = x[15];
962: pv[16] = x[16];
963: pv[17] = x[17];
964: pv[18] = x[18];
965: pv[19] = x[19];
966: pv[20] = x[20];
967: pv[21] = x[21];
968: pv[22] = x[22];
969: pv[23] = x[23];
970: pv[24] = x[24];
971: pv[25] = x[25];
972: pv[26] = x[26];
973: pv[27] = x[27];
974: pv[28] = x[28];
975: pv[29] = x[29];
976: pv[30] = x[30];
977: pv[31] = x[31];
978: pv[32] = x[32];
979: pv[33] = x[33];
980: pv[34] = x[34];
981: pv[35] = x[35];
982: pv[36] = x[36];
983: pv[37] = x[37];
984: pv[38] = x[38];
985: pv[39] = x[39];
986: pv[40] = x[40];
987: pv[41] = x[41];
988: pv[42] = x[42];
989: pv[43] = x[43];
990: pv[44] = x[44];
991: pv[45] = x[45];
992: pv[46] = x[46];
993: pv[47] = x[47];
994: pv[48] = x[48];
995: pv += 49;
996: }
997: /* invert diagonal block */
998: w = ba + 49 * diag_offset[i];
999: PetscCall(PetscKernel_A_gets_inverse_A_7(w, shift, allowzeropivot, &zeropivotdetected));
1000: if (zeropivotdetected) C->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
1001: }
1003: PetscCall(PetscFree(rtmp));
1005: C->ops->solve = MatSolve_SeqBAIJ_7_NaturalOrdering_inplace;
1006: C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_7_NaturalOrdering_inplace;
1007: C->assembled = PETSC_TRUE;
1009: PetscCall(PetscLogFlops(1.333333333333 * 7 * 7 * 7 * b->mbs)); /* from inverting diagonal blocks */
1010: PetscFunctionReturn(PETSC_SUCCESS);
1011: }
1013: PetscErrorCode MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering(Mat B, Mat A, const MatFactorInfo *info)
1014: {
1015: Mat C = B;
1016: Mat_SeqBAIJ *a = (Mat_SeqBAIJ *)A->data, *b = (Mat_SeqBAIJ *)C->data;
1017: PetscInt i, j, k, nz, nzL, row;
1018: const PetscInt n = a->mbs, *ai = a->i, *aj = a->j, *bi = b->i, *bj = b->j;
1019: const PetscInt *ajtmp, *bjtmp, *bdiag = b->diag, *pj, bs2 = a->bs2;
1020: MatScalar *rtmp, *pc, *mwork, *v, *pv, *aa = a->a;
1021: PetscInt flg;
1022: PetscReal shift = info->shiftamount;
1023: PetscBool allowzeropivot, zeropivotdetected;
1025: PetscFunctionBegin;
1026: allowzeropivot = PetscNot(A->erroriffailure);
1028: /* generate work space needed by the factorization */
1029: PetscCall(PetscMalloc2(bs2 * n, &rtmp, bs2, &mwork));
1030: PetscCall(PetscArrayzero(rtmp, bs2 * n));
1032: for (i = 0; i < n; i++) {
1033: /* zero rtmp */
1034: /* L part */
1035: nz = bi[i + 1] - bi[i];
1036: bjtmp = bj + bi[i];
1037: for (j = 0; j < nz; j++) PetscCall(PetscArrayzero(rtmp + bs2 * bjtmp[j], bs2));
1039: /* U part */
1040: nz = bdiag[i] - bdiag[i + 1];
1041: bjtmp = bj + bdiag[i + 1] + 1;
1042: for (j = 0; j < nz; j++) PetscCall(PetscArrayzero(rtmp + bs2 * bjtmp[j], bs2));
1044: /* load in initial (unfactored row) */
1045: nz = ai[i + 1] - ai[i];
1046: ajtmp = aj + ai[i];
1047: v = aa + bs2 * ai[i];
1048: for (j = 0; j < nz; j++) PetscCall(PetscArraycpy(rtmp + bs2 * ajtmp[j], v + bs2 * j, bs2));
1050: /* elimination */
1051: bjtmp = bj + bi[i];
1052: nzL = bi[i + 1] - bi[i];
1053: for (k = 0; k < nzL; k++) {
1054: row = bjtmp[k];
1055: pc = rtmp + bs2 * row;
1056: for (flg = 0, j = 0; j < bs2; j++) {
1057: if (pc[j] != 0.0) {
1058: flg = 1;
1059: break;
1060: }
1061: }
1062: if (flg) {
1063: pv = b->a + bs2 * bdiag[row];
1064: /* PetscKernel_A_gets_A_times_B(bs,pc,pv,mwork); *pc = *pc * (*pv); */
1065: PetscCall(PetscKernel_A_gets_A_times_B_7(pc, pv, mwork));
1067: pj = b->j + bdiag[row + 1] + 1; /* beginning of U(row,:) */
1068: pv = b->a + bs2 * (bdiag[row + 1] + 1);
1069: nz = bdiag[row] - bdiag[row + 1] - 1; /* num of entries inU(row,:), excluding diag */
1070: for (j = 0; j < nz; j++) {
1071: /* PetscKernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); */
1072: /* rtmp+bs2*pj[j] = rtmp+bs2*pj[j] - (*pc)*(pv+bs2*j) */
1073: v = rtmp + bs2 * pj[j];
1074: PetscCall(PetscKernel_A_gets_A_minus_B_times_C_7(v, pc, pv));
1075: pv += bs2;
1076: }
1077: PetscCall(PetscLogFlops(686.0 * nz + 637)); /* flops = 2*bs^3*nz + 2*bs^3 - bs2) */
1078: }
1079: }
1081: /* finished row so stick it into b->a */
1082: /* L part */
1083: pv = b->a + bs2 * bi[i];
1084: pj = b->j + bi[i];
1085: nz = bi[i + 1] - bi[i];
1086: for (j = 0; j < nz; j++) PetscCall(PetscArraycpy(pv + bs2 * j, rtmp + bs2 * pj[j], bs2));
1088: /* Mark diagonal and invert diagonal for simpler triangular solves */
1089: pv = b->a + bs2 * bdiag[i];
1090: pj = b->j + bdiag[i];
1091: PetscCall(PetscArraycpy(pv, rtmp + bs2 * pj[0], bs2));
1092: PetscCall(PetscKernel_A_gets_inverse_A_7(pv, shift, allowzeropivot, &zeropivotdetected));
1093: if (zeropivotdetected) C->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
1095: /* U part */
1096: pv = b->a + bs2 * (bdiag[i + 1] + 1);
1097: pj = b->j + bdiag[i + 1] + 1;
1098: nz = bdiag[i] - bdiag[i + 1] - 1;
1099: for (j = 0; j < nz; j++) PetscCall(PetscArraycpy(pv + bs2 * j, rtmp + bs2 * pj[j], bs2));
1100: }
1101: PetscCall(PetscFree2(rtmp, mwork));
1103: C->ops->solve = MatSolve_SeqBAIJ_7_NaturalOrdering;
1104: C->ops->solvetranspose = MatSolveTranspose_SeqBAIJ_7_NaturalOrdering;
1105: C->assembled = PETSC_TRUE;
1107: PetscCall(PetscLogFlops(1.333333333333 * 7 * 7 * 7 * n)); /* from inverting diagonal blocks */
1108: PetscFunctionReturn(PETSC_SUCCESS);
1109: }