libtetrabz python package
リビジョン | 5ce1d1d3343db3cc752bd38baae5f5488ad29662 (tree) |
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日時 | 2022-03-31 15:54:18 |
作者 | ![]() |
コミッター | Mitsuaki Kawamura |
Forgot to add C source
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1 | +/* | |
2 | + Copyright (c) 2014 Mitsuaki Kawamura | |
3 | + | |
4 | + Permission is hereby granted, free of charge, to any person obtaining a | |
5 | + copy of this software and associated documentation files (the | |
6 | + "Software"), to deal in the Software without restriction, including | |
7 | + without limitation the rights to use, copy, modify, merge, publish, | |
8 | + distribute, sublicense, and/or sell copies of the Software, and to | |
9 | + permit persons to whom the Software is furnished to do so, subject to | |
10 | + the following conditions: | |
11 | + | |
12 | + The above copyright notice and this permission notice shall be included | |
13 | + in all copies or substantial portions of the Software. | |
14 | + | |
15 | + THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS | |
16 | + OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF | |
17 | + MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. | |
18 | + IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY | |
19 | + CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, | |
20 | + TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE | |
21 | + SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. | |
22 | +*/ | |
23 | +#define PY_SSIZE_T_CLEAN | |
24 | +#include <Python.h> | |
25 | +#include <stdio.h> | |
26 | +#include <stdlib.h> | |
27 | +#include <math.h> | |
28 | + | |
29 | +void libtetrabz_initialize( | |
30 | + int ng[3], | |
31 | + double bvec[3][3], | |
32 | + double wlsm[20][4], | |
33 | + int **ikv | |
34 | + ) | |
35 | + { | |
36 | + /* | |
37 | + define shortest diagonal line & define type of tetragonal | |
38 | + */ | |
39 | + int ii, i0, i1, i2, i3, it, itype, ivvec0[4], divvec[4][4], ivvec[6][20][3], ikv0[3], nt; | |
40 | + double bvec2[3][3], bvec3[4][3], bnorm[4]; | |
41 | + double wlsm1[4][4] = { {1440.0, 0.0, 30.0, 0.0}, | |
42 | + {0.0, 1440.0, 0.0, 30.0}, | |
43 | + {30.0, 0.0, 1440.0, 0.0}, | |
44 | + {0.0, 30.0, 0.0, 1440.0} }, | |
45 | + wlsm2[4][4] = {{-38.0, 7.0, 17.0, -28.0}, | |
46 | + {-28.0, -38.0, 7.0, 17.0}, | |
47 | + {17.0, -28.0, -38.0, 7.0}, | |
48 | + {7.0, 17.0, -28.0, -38.0}}, | |
49 | + wlsm3[4][4] = {{-56.0, 9.0, -46.0, 9.0}, | |
50 | + {9.0, -56.0, 9.0, -46.0}, | |
51 | + {-46.0, 9.0, -56.0, 9.0}, | |
52 | + {9.0, -46.0, 9.0, -56.0}}, | |
53 | + wlsm4[4][4] = {{-38.0, -28.0, 17.0, 7.0}, | |
54 | + {7.0, -38.0, -28.0, 17.0}, | |
55 | + {17.0, 7.0, -38.0, -28.0}, | |
56 | + {-28.0, 17.0, 7.0, -38.0}}, | |
57 | + wlsm5[4][4] = {{-18.0, -18.0, 12.0, -18.0}, | |
58 | + {-18.0, -18.0, -18.0, 12.0}, | |
59 | + {12.0, -18.0, -18.0, -18.0}, | |
60 | + {-18.0, 12.0, -18.0, -18.0}}; | |
61 | + | |
62 | + for (i1 = 0; i1 < 3; i1++) | |
63 | + for (i2 = 0; i2 < 3; i2++) | |
64 | + bvec2[i1][i2] = bvec[i1][i2] / (double) ng[i1]; | |
65 | + | |
66 | + for (i1 = 0; i1 < 3; i1++) { | |
67 | + bvec3[0][i1] = -bvec2[0][i1] + bvec2[1][i1] + bvec2[2][i1]; | |
68 | + bvec3[1][i1] = bvec2[0][i1] - bvec2[1][i1] + bvec2[2][i1]; | |
69 | + bvec3[2][i1] = bvec2[0][i1] + bvec2[1][i1] - bvec2[2][i1]; | |
70 | + bvec3[3][i1] = bvec2[0][i1] + bvec2[1][i1] + bvec2[2][i1]; | |
71 | + } | |
72 | + /* | |
73 | + length of delta bvec | |
74 | + */ | |
75 | + for (i1 = 0; i1 < 4; i1++) { | |
76 | + bnorm[i1] = 0.0; | |
77 | + for (i2 = 0; i2 < 3; i2++) | |
78 | + bnorm[i1] += bvec3[i1][i2] * bvec3[i1][i2]; | |
79 | + } | |
80 | + itype = 0; | |
81 | + for (i1 = 1; i1 < 4; i1++) | |
82 | + if (bnorm[i1] < bnorm[itype]) itype = i1; | |
83 | + /* | |
84 | + start & last | |
85 | + */ | |
86 | + for (i0 = 0; i0 < 4; i0++) { | |
87 | + ivvec0[i0] = 0; | |
88 | + for (i1 = 0; i1 < 4; i1++)divvec[i0][i1] = 0; | |
89 | + divvec[i0][i0] = 1; | |
90 | + } | |
91 | + ivvec0[itype] = 1; | |
92 | + divvec[itype][itype] = -1; | |
93 | + /* | |
94 | + Corners of tetrahedron | |
95 | + */ | |
96 | + it = 0; | |
97 | + for (i0 = 0; i0 < 3; i0++) { | |
98 | + for (i1 = 0; i1 < 3; i1++) { | |
99 | + if (i1 == i0) continue; | |
100 | + for (i2 = 0; i2 < 3; i2++) { | |
101 | + if (i2 == i1 || i2 == i0) continue; | |
102 | + | |
103 | + for (i3 = 0; i3 < 3; i3++) { | |
104 | + ivvec[it][0][i3] = ivvec0[i3]; | |
105 | + ivvec[it][1][i3] = ivvec[it][0][i3] + divvec[i0][i3]; | |
106 | + ivvec[it][2][i3] = ivvec[it][1][i3] + divvec[i1][i3]; | |
107 | + ivvec[it][3][i3] = ivvec[it][2][i3] + divvec[i2][i3]; | |
108 | + } | |
109 | + | |
110 | + it += 1; | |
111 | + } | |
112 | + } | |
113 | + } | |
114 | + /* | |
115 | + Additional points | |
116 | + */ | |
117 | + for (i1 = 0; i1 < 6; i1++) { | |
118 | + for (i2 = 0; i2 < 3; i2++) { | |
119 | + ivvec[i1][4][i2] = 2 * ivvec[i1][0][i2] - ivvec[i1][1][i2]; | |
120 | + ivvec[i1][5][i2] = 2 * ivvec[i1][1][i2] - ivvec[i1][2][i2]; | |
121 | + ivvec[i1][6][i2] = 2 * ivvec[i1][2][i2] - ivvec[i1][3][i2]; | |
122 | + ivvec[i1][7][i2] = 2 * ivvec[i1][3][i2] - ivvec[i1][0][i2]; | |
123 | + | |
124 | + ivvec[i1][8][i2] = 2 * ivvec[i1][0][i2] - ivvec[i1][2][i2]; | |
125 | + ivvec[i1][9][i2] = 2 * ivvec[i1][1][i2] - ivvec[i1][3][i2]; | |
126 | + ivvec[i1][10][i2] = 2 * ivvec[i1][2][i2] - ivvec[i1][0][i2]; | |
127 | + ivvec[i1][11][i2] = 2 * ivvec[i1][3][i2] - ivvec[i1][1][i2]; | |
128 | + | |
129 | + ivvec[i1][12][i2] = 2 * ivvec[i1][0][i2] - ivvec[i1][3][i2]; | |
130 | + ivvec[i1][13][i2] = 2 * ivvec[i1][1][i2] - ivvec[i1][0][i2]; | |
131 | + ivvec[i1][14][i2] = 2 * ivvec[i1][2][i2] - ivvec[i1][1][i2]; | |
132 | + ivvec[i1][15][i2] = 2 * ivvec[i1][3][i2] - ivvec[i1][2][i2]; | |
133 | + | |
134 | + ivvec[i1][16][i2] = ivvec[i1][3][i2] - ivvec[i1][0][i2] + ivvec[i1][1][i2]; | |
135 | + ivvec[i1][17][i2] = ivvec[i1][0][i2] - ivvec[i1][1][i2] + ivvec[i1][2][i2]; | |
136 | + ivvec[i1][18][i2] = ivvec[i1][1][i2] - ivvec[i1][2][i2] + ivvec[i1][3][i2]; | |
137 | + ivvec[i1][19][i2] = ivvec[i1][2][i2] - ivvec[i1][3][i2] + ivvec[i1][0][i2]; | |
138 | + } | |
139 | + } | |
140 | + | |
141 | + for (i1 = 0; i1 < 4; i1++) { | |
142 | + for (i2 = 0; i2 < 4; i2++) { | |
143 | + wlsm[i2][i1] = wlsm1[i1][i2] /= 1260.0; | |
144 | + wlsm[i2 + 4][i1] = wlsm2[i1][i2] /= 1260.0; | |
145 | + wlsm[i2 + 8][i1] = wlsm3[i1][i2] /= 1260.0; | |
146 | + wlsm[i2 + 12][i1] = wlsm4[i1][i2] /= 1260.0; | |
147 | + wlsm[i2 + 16][i1] = wlsm5[i1][i2] /= 1260.0; | |
148 | + } | |
149 | + } | |
150 | + /* | |
151 | + k-index for energy | |
152 | + */ | |
153 | + nt = 0; | |
154 | + for (i2 = 0; i2 < ng[2]; i2++) { | |
155 | + for (i1 = 0; i1 < ng[1]; i1++) { | |
156 | + for (i0 = 0; i0 < ng[0]; i0++) { | |
157 | + | |
158 | + for (it = 0; it < 6; it++) { | |
159 | + | |
160 | + for (ii = 0; ii < 20; ii++) { | |
161 | + ikv0[0] = (i0 + ivvec[it][ii][0]) % ng[0]; | |
162 | + ikv0[1] = (i1 + ivvec[it][ii][1]) % ng[1]; | |
163 | + ikv0[2] = (i2 + ivvec[it][ii][2]) % ng[2]; | |
164 | + for (i3 = 0; i3 < 3; i3++) if (ikv0[i3] < 0) ikv0[i3] += ng[i3]; | |
165 | + ikv[nt][ii] = ikv0[2] + ng[2] * ikv0[1] + ng[2] * ng[1] * ikv0[0]; | |
166 | + } | |
167 | + nt += 1; | |
168 | + } | |
169 | + } | |
170 | + } | |
171 | + } | |
172 | +} | |
173 | +/* | |
174 | +Cut small tetrahedron A1 | |
175 | +*/ | |
176 | +void libtetrabz_tsmall_a1( | |
177 | + double *e, | |
178 | + double e0, | |
179 | + double *v, | |
180 | + double tsmall[4][4] | |
181 | +) { | |
182 | + double a10, a20, a30; | |
183 | + a10 = (e0 - e[0]) / (e[1] - e[0]); | |
184 | + a20 = (e0 - e[0]) / (e[2] - e[0]); | |
185 | + a30 = (e0 - e[0]) / (e[3] - e[0]); | |
186 | + | |
187 | + *v = a10 * a20 * a30; | |
188 | + | |
189 | + tsmall[0][0] = 1.0; | |
190 | + tsmall[0][1] = 1.0 - a10; | |
191 | + tsmall[0][2] = 1.0 - a20; | |
192 | + tsmall[0][3] = 1.0 - a30; | |
193 | + tsmall[1][0] = 0.0; | |
194 | + tsmall[1][1] = a10; | |
195 | + tsmall[1][2] = 0.0; | |
196 | + tsmall[1][3] = 0.0; | |
197 | + tsmall[2][0] = 0.0; | |
198 | + tsmall[2][1] = 0.0; | |
199 | + tsmall[2][2] = a20; | |
200 | + tsmall[2][3] = 0.0; | |
201 | + tsmall[3][0] = 0.0; | |
202 | + tsmall[3][1] = 0.0; | |
203 | + tsmall[3][2] = 0.0; | |
204 | + tsmall[3][3] = a30; | |
205 | +} | |
206 | +/* | |
207 | +Cut small tetrahedron B1 | |
208 | +*/ | |
209 | +void libtetrabz_tsmall_b1( | |
210 | + double *e, | |
211 | + double e0, | |
212 | + double *v, | |
213 | + double tsmall[4][4] | |
214 | +) | |
215 | +{ | |
216 | + double a13, a20, a30; | |
217 | + a13 = (e0 - e[3]) / (e[1] - e[3]); | |
218 | + a20 = (e0 - e[0]) / (e[2] - e[0]); | |
219 | + a30 = (e0 - e[0]) / (e[3] - e[0]); | |
220 | + | |
221 | + *v = a20 * a30 * a13; | |
222 | + | |
223 | + tsmall[0][0] = 1.0; | |
224 | + tsmall[0][1] = 1.0 - a20; | |
225 | + tsmall[0][2] = 1.0 - a30; | |
226 | + tsmall[0][3] = 0.0; | |
227 | + tsmall[1][0] = 0.0; | |
228 | + tsmall[1][1] = 0.0; | |
229 | + tsmall[1][2] = 0.0; | |
230 | + tsmall[1][3] = a13; | |
231 | + tsmall[2][0] = 0.0; | |
232 | + tsmall[2][1] = a20; | |
233 | + tsmall[2][2] = 0.0; | |
234 | + tsmall[2][3] = 0.0; | |
235 | + tsmall[3][0] = 0.0; | |
236 | + tsmall[3][1] = 0.0; | |
237 | + tsmall[3][2] = a30; | |
238 | + tsmall[3][3] = 1.0 - a13; | |
239 | +} | |
240 | +/* | |
241 | +Cut small tetrahedron B2 | |
242 | +*/ | |
243 | +void libtetrabz_tsmall_b2( | |
244 | + double *e, | |
245 | + double e0, | |
246 | + double *v, | |
247 | + double tsmall[4][4] | |
248 | +) | |
249 | +{ | |
250 | + double a21, a31; | |
251 | + a21 = (e0 - e[1]) / (e[2] - e[1]); | |
252 | + a31 = (e0 - e[1]) / (e[3] - e[1]); | |
253 | + | |
254 | + *v = a21 * a31; | |
255 | + | |
256 | + tsmall[0][0] = 1.0; | |
257 | + tsmall[0][1] = 0.0; | |
258 | + tsmall[0][2] = 0.0; | |
259 | + tsmall[0][3] = 0.0; | |
260 | + tsmall[1][0] = 0.0; | |
261 | + tsmall[1][1] = 1.0; | |
262 | + tsmall[1][2] = 1.0 - a21; | |
263 | + tsmall[1][3] = 1.0 - a31; | |
264 | + tsmall[2][0] = 0.0; | |
265 | + tsmall[2][1] = 0.0; | |
266 | + tsmall[2][2] = a21; | |
267 | + tsmall[2][3] = 0.0; | |
268 | + tsmall[3][0] = 0.0; | |
269 | + tsmall[3][1] = 0.0; | |
270 | + tsmall[3][2] = 0.0; | |
271 | + tsmall[3][3] = a31; | |
272 | +} | |
273 | +/* | |
274 | +Cut small tetrahedron B3 | |
275 | +*/ | |
276 | +void libtetrabz_tsmall_b3( | |
277 | + double *e, | |
278 | + double e0, | |
279 | + double *v, | |
280 | + double tsmall[4][4] | |
281 | +) | |
282 | +{ | |
283 | + double a12, a20, a31; | |
284 | + a12 = (e0 - e[2]) / (e[1] - e[2]); | |
285 | + a20 = (e0 - e[0]) / (e[2] - e[0]); | |
286 | + a31 = (e0 - e[1]) / (e[3] - e[1]); | |
287 | + | |
288 | + *v = a12 * a20 * a31; | |
289 | + | |
290 | + tsmall[0][0] = 1.0; | |
291 | + tsmall[0][1] = 1.0 - a20; | |
292 | + tsmall[0][2] = 0.0; | |
293 | + tsmall[0][3] = 0.0; | |
294 | + tsmall[1][0] = 0.0; | |
295 | + tsmall[1][1] = 0.0; | |
296 | + tsmall[1][2] = a12; | |
297 | + tsmall[1][3] = 1.0 - a31; | |
298 | + tsmall[2][0] = 0.0; | |
299 | + tsmall[2][1] = a20; | |
300 | + tsmall[2][2] = 1.0 - a12; | |
301 | + tsmall[2][3] = 0.0; | |
302 | + tsmall[3][0] = 0.0; | |
303 | + tsmall[3][1] = 0.0; | |
304 | + tsmall[3][2] = 0.0; | |
305 | + tsmall[3][3] = a31; | |
306 | +} | |
307 | +/* | |
308 | +Cut small tetrahedron C1 | |
309 | +*/ | |
310 | +void libtetrabz_tsmall_c1( | |
311 | + double *e, | |
312 | + double e0, | |
313 | + double *v, | |
314 | + double tsmall[4][4] | |
315 | +) | |
316 | +{ | |
317 | + double a32; | |
318 | + a32 = (e0 - e[2]) / (e[3] - e[2]); | |
319 | + | |
320 | + *v = a32; | |
321 | + | |
322 | + tsmall[0][0] = 1.0; | |
323 | + tsmall[0][1] = 0.0; | |
324 | + tsmall[0][2] = 0.0; | |
325 | + tsmall[0][3] = 0.0; | |
326 | + tsmall[1][0] = 0.0; | |
327 | + tsmall[1][1] = 1.0; | |
328 | + tsmall[1][2] = 0.0; | |
329 | + tsmall[1][3] = 0.0; | |
330 | + tsmall[2][0] = 0.0; | |
331 | + tsmall[2][1] = 0.0; | |
332 | + tsmall[2][2] = 1.0; | |
333 | + tsmall[2][3] = 1.0 - a32; | |
334 | + tsmall[3][0] = 0.0; | |
335 | + tsmall[3][1] = 0.0; | |
336 | + tsmall[3][2] = 0.0; | |
337 | + tsmall[3][3] = a32; | |
338 | +} | |
339 | +/* | |
340 | +Cut small tetrahedron C2 | |
341 | +*/ | |
342 | +void libtetrabz_tsmall_c2( | |
343 | + double *e, | |
344 | + double e0, | |
345 | + double *v, | |
346 | + double tsmall[4][4] | |
347 | +) | |
348 | +{ | |
349 | + double a23, a31; | |
350 | + a23 = (e0 - e[3]) / (e[2] - e[3]); | |
351 | + a31 = (e0 - e[1]) / (e[3] - e[1]); | |
352 | + | |
353 | + *v = a23 * a31; | |
354 | + | |
355 | + tsmall[0][0] = 1.0; | |
356 | + tsmall[0][1] = 0.0; | |
357 | + tsmall[0][2] = 0.0; | |
358 | + tsmall[0][3] = 0.0; | |
359 | + tsmall[1][0] = 0.0; | |
360 | + tsmall[1][1] = 1.0; | |
361 | + tsmall[1][2] = 1.0 - a31; | |
362 | + tsmall[1][3] = 0.0; | |
363 | + tsmall[2][0] = 0.0; | |
364 | + tsmall[2][1] = 0.0; | |
365 | + tsmall[2][2] = 0.0; | |
366 | + tsmall[2][3] = a23; | |
367 | + tsmall[3][0] = 0.0; | |
368 | + tsmall[3][1] = 0.0; | |
369 | + tsmall[3][2] = a31; | |
370 | + tsmall[3][3] = 1.0 - a23; | |
371 | +} | |
372 | +/* | |
373 | +Cut small tetrahedron C3 | |
374 | +*/ | |
375 | +void libtetrabz_tsmall_c3( | |
376 | + double *e, | |
377 | + double e0, | |
378 | + double *v, | |
379 | + double tsmall[4][4] | |
380 | +) | |
381 | +{ | |
382 | + double a23, a13, a30; | |
383 | + a23 = (e0 - e[3]) / (e[2] - e[3]); | |
384 | + a13 = (e0 - e[3]) / (e[1] - e[3]); | |
385 | + a30 = (e0 - e[0]) / (e[3] - e[0]); | |
386 | + | |
387 | + *v = a23 * a13 * a30; | |
388 | + | |
389 | + tsmall[0][0] = 1.0; | |
390 | + tsmall[0][1] = 1.0 - a30; | |
391 | + tsmall[0][2] = 0.0; | |
392 | + tsmall[0][3] = 0.0; | |
393 | + tsmall[1][0] = 0.0; | |
394 | + tsmall[1][1] = 0.0; | |
395 | + tsmall[1][2] = a13; | |
396 | + tsmall[1][3] = 0.0; | |
397 | + tsmall[2][0] = 0.0; | |
398 | + tsmall[2][1] = 0.0; | |
399 | + tsmall[2][2] = 0.0; | |
400 | + tsmall[2][3] = a23; | |
401 | + tsmall[3][0] = 0.0; | |
402 | + tsmall[3][1] = a30; | |
403 | + tsmall[3][2] = 1.0 - a13; | |
404 | + tsmall[3][3] = 1.0 - a23; | |
405 | +} | |
406 | +/* | |
407 | +Cut triangle A1 | |
408 | +*/ | |
409 | +void libtetrabz_triangle_a1( | |
410 | + double *e, | |
411 | + double e0, | |
412 | + double *v, | |
413 | + double tsmall[4][3] | |
414 | +) | |
415 | +{ | |
416 | + double a10, a20, a30; | |
417 | + a10 = (e0 - e[0]) / (e[1] - e[0]); | |
418 | + a20 = (e0 - e[0]) / (e[2] - e[0]); | |
419 | + a30 = (e0 - e[0]) / (e[3] - e[0]); | |
420 | + | |
421 | + *v = 3.0 * a10 * a20 / (e[3] - e[0]); | |
422 | + | |
423 | + tsmall[0][0] = 1.0 - a10; | |
424 | + tsmall[0][1] = 1.0 - a20; | |
425 | + tsmall[0][2] = 1.0 - a30; | |
426 | + tsmall[1][0] = a10; | |
427 | + tsmall[1][1] = 0.0; | |
428 | + tsmall[1][2] = 0.0; | |
429 | + tsmall[2][0] = 0.0; | |
430 | + tsmall[2][1] = a20; | |
431 | + tsmall[2][2] = 0.0; | |
432 | + tsmall[3][0] = 0.0; | |
433 | + tsmall[3][1] = 0.0; | |
434 | + tsmall[3][2] = a30; | |
435 | +} | |
436 | +/* | |
437 | +Cut triangle B1 | |
438 | +*/ | |
439 | +void libtetrabz_triangle_b1( | |
440 | + double *e, | |
441 | + double e0, | |
442 | + double *v, | |
443 | + double tsmall[4][3] | |
444 | +) { | |
445 | + double a30, a13, a20; | |
446 | + a30 = (e0 - e[0]) / (e[3] - e[0]); | |
447 | + a13 = (e0 - e[3]) / (e[1] - e[3]); | |
448 | + a20 = (e0 - e[0]) / (e[2] - e[0]); | |
449 | + | |
450 | + *v = 3.0 * a30 * a13 / (e[2] - e[0]); | |
451 | + | |
452 | + tsmall[0][0] = 1.0 - a20; | |
453 | + tsmall[0][1] = 1.0 - a30; | |
454 | + tsmall[0][2] = 0.0; | |
455 | + tsmall[1][0] = 0.0; | |
456 | + tsmall[1][1] = 0.0; | |
457 | + tsmall[1][2] = a13; | |
458 | + tsmall[2][0] = a20; | |
459 | + tsmall[2][1] = 0.0; | |
460 | + tsmall[2][2] = 0.0; | |
461 | + tsmall[3][0] = 0.0; | |
462 | + tsmall[3][1] = a30; | |
463 | + tsmall[3][2] = 1.0 - a13; | |
464 | +} | |
465 | +/* | |
466 | +Cut triangle B2 | |
467 | +*/ | |
468 | +void libtetrabz_triangle_b2( | |
469 | + double *e, | |
470 | + double e0, | |
471 | + double *v, | |
472 | + double tsmall[4][3] | |
473 | +) | |
474 | +{ | |
475 | + double a12, a31, a20; | |
476 | + a12 = (e0 - e[2]) / (e[1] - e[2]); | |
477 | + a31 = (e0 - e[1]) / (e[3] - e[1]); | |
478 | + a20 = (e0 - e[0]) / (e[2] - e[0]); | |
479 | + | |
480 | + *v = 3.0 * a12 * a31 / (e[2] - e[0]); | |
481 | + | |
482 | + tsmall[0][0] = 1.0 - a20; | |
483 | + tsmall[0][1] = 0.0; | |
484 | + tsmall[0][2] = 0.0; | |
485 | + tsmall[1][0] = 0.0; | |
486 | + tsmall[1][1] = a12; | |
487 | + tsmall[1][2] = 1.0 - a31; | |
488 | + tsmall[2][0] = a20; | |
489 | + tsmall[2][1] = 1.0 - a12; | |
490 | + tsmall[2][2] = 0.0; | |
491 | + tsmall[3][0] = 0.0; | |
492 | + tsmall[3][1] = 0.0; | |
493 | + tsmall[3][2]= a31; | |
494 | +} | |
495 | +/* | |
496 | +Cut triangle C1 | |
497 | +*/ | |
498 | +void libtetrabz_triangle_c1( | |
499 | + double *e, | |
500 | + double e0, | |
501 | + double *v, | |
502 | + double tsmall[4][3] | |
503 | +) | |
504 | +{ | |
505 | + double a03, a13, a23; | |
506 | + a03 = (e0 - e[3]) / (e[0] - e[3]); | |
507 | + a13 = (e0 - e[3]) / (e[1] - e[3]); | |
508 | + a23 = (e0 - e[3]) / (e[2] - e[3]); | |
509 | + | |
510 | + *v = 3.0 * a03 * a13 / (e[3] - e[2]); | |
511 | + | |
512 | + tsmall[0][0] = a03; | |
513 | + tsmall[0][1] = 0.0; | |
514 | + tsmall[0][2] = 0.0; | |
515 | + tsmall[1][0] = 0.0; | |
516 | + tsmall[1][1] = a13; | |
517 | + tsmall[1][2] = 0.0; | |
518 | + tsmall[2][0] = 0.0; | |
519 | + tsmall[2][1] = 0.0; | |
520 | + tsmall[2][2] = a23; | |
521 | + tsmall[3][0] = 1.0 - a03; | |
522 | + tsmall[3][1] = 1.0 - a13; | |
523 | + tsmall[3][2] = 1.0 - a23; | |
524 | +} | |
525 | +/* | |
526 | +Sort eigenvalues | |
527 | +*/ | |
528 | +void eig_sort( | |
529 | + int n, //!< [in] the number of components | |
530 | + double *key, //!< [in] Variables to be sorted [n]. | |
531 | + int *swap //!< [out] Order of index (sorted) | |
532 | +) | |
533 | +{ | |
534 | + int i, j, k, min_loc; | |
535 | + double min_val; | |
536 | + | |
537 | + for (i = 0; i < n; ++i) swap[i] = i; | |
538 | + | |
539 | + for (i = 0; i < n - 1; ++i) { | |
540 | + min_val = key[i]; | |
541 | + min_loc = i; | |
542 | + for (j = i + 1; j < n; ++j) { | |
543 | + if (min_val > key[j]) { | |
544 | + min_val = key[j]; | |
545 | + min_loc = j; | |
546 | + } | |
547 | + } | |
548 | + if (key[i] > min_val) { | |
549 | + /* | |
550 | + Swap | |
551 | + */ | |
552 | + key[min_loc] = key[i]; | |
553 | + key[i] = min_val; | |
554 | + | |
555 | + k = swap[min_loc]; | |
556 | + swap[min_loc] = swap[i]; | |
557 | + swap[i] = k; | |
558 | + } | |
559 | + }/*for (i = 0; i < n - 1; ++i)*/ | |
560 | +}/*eig_sort*/ | |
561 | +/* | |
562 | +2nd step of tetrahedron method. | |
563 | +*/ | |
564 | +static void libtetrabz_dbldelta2( | |
565 | + int nb, | |
566 | + double **ej, | |
567 | + double **w | |
568 | +) { | |
569 | + int i3, ib, indx[3]; | |
570 | + double a10, a20, a02, a12, v, e[3], e_abs; | |
571 | + | |
572 | + for (ib = 0; ib < nb; ib++) { | |
573 | + | |
574 | + e_abs = 0.0; | |
575 | + for (i3 = 0; i3 < 3; i3++) { | |
576 | + e[i3] = ej[ib][i3]; | |
577 | + if (e_abs < fabs(e[i3])) e_abs = fabs(e[i3]); | |
578 | + } | |
579 | + eig_sort(3, e, indx); | |
580 | + | |
581 | + if (e_abs < 1.0e-10) { | |
582 | + printf("Nesting ##\n"); | |
583 | + } | |
584 | + | |
585 | + if ((e[0] < 0.0 && 0.0 <= e[1]) || (e[0] <= 0.0 && 0.0 < e[1])) { | |
586 | + | |
587 | + a10 = (0.0 - e[0]) / (e[1] - e[0]); | |
588 | + a20 = (0.0 - e[0]) / (e[2] - e[0]); | |
589 | + | |
590 | + v = a10 / (e[2] - e[0]); | |
591 | + | |
592 | + w[ib][indx[0]] = v * (2.0 - a10 - a20); | |
593 | + w[ib][indx[1]] = v * a10; | |
594 | + w[ib][indx[2]] = v * a20; | |
595 | + } | |
596 | + else if ((e[1] <= 0.0 && 0.0 < e[2]) || (e[1] < 0.0 && 0.0 <= e[2])) { | |
597 | + | |
598 | + a02 = (0.0 - e[2]) / (e[0] - e[2]); | |
599 | + a12 = (0.0 - e[2]) / (e[1] - e[2]); | |
600 | + | |
601 | + v = a12 / (e[2] - e[0]); | |
602 | + | |
603 | + w[ib][indx[0]] = v * a02; | |
604 | + w[ib][indx[1]] = v * a12; | |
605 | + w[ib][indx[2]] = v * (2.0 - a02 - a12); | |
606 | + } | |
607 | + else { | |
608 | + for (i3 = 0; i3 < 3; i3++) | |
609 | + w[ib][i3] = 0.0; | |
610 | + } | |
611 | + } | |
612 | +} | |
613 | +/* | |
614 | +Main SUBROUTINE for Delta(E1) * Delta(E2) | |
615 | +*/ | |
616 | +static PyObject* dbldelta_c(PyObject* self, PyObject* args) | |
617 | +{ | |
618 | + int it, ik, ib, i20, i4, j3, jb, ** ikv, indx[4], ierr, ng[3], nk, nb; | |
619 | + double wlsm[20][4], ** ei1, ** ej1, ** ej2, e[4], *** w1, **w2, v, tsmall[4][3], thr, | |
620 | + bvec[3][3], ** eig1, ** eig2, *** wght; | |
621 | + PyObject* eig1_po, * eig2_po, * wght_po; | |
622 | + /* | |
623 | + Read input from python object | |
624 | + */ | |
625 | + if (!PyArg_ParseTuple(args, "iiiiidddddddddOO", | |
626 | + &ng[0], &ng[1], &ng[2], &nk, &nb, | |
627 | + &bvec[0][0], &bvec[0][1], &bvec[0][2], &bvec[1][0], &bvec[1][1], &bvec[1][2], &bvec[2][0], &bvec[2][1], &bvec[2][2], | |
628 | + &eig1_po, &eig2_po)) | |
629 | + return NULL; | |
630 | + /* | |
631 | + convert python list object to array | |
632 | + */ | |
633 | + eig1 = (double**)malloc(nk * sizeof(double*)); | |
634 | + eig1[0] = (double*)malloc(nk * nb * sizeof(double)); | |
635 | + eig2 = (double**)malloc(nk * sizeof(double*)); | |
636 | + eig2[0] = (double*)malloc(nk * nb * sizeof(double)); | |
637 | + wght = (double***)malloc(nk * sizeof(double**)); | |
638 | + wght[0] = (double**)malloc(nk * nb * sizeof(double*)); | |
639 | + wght[0][0] = (double*)malloc(nk * nb * nb * sizeof(double)); | |
640 | + for (ik = 0; ik < nk; ik++) { | |
641 | + eig1[ik] = eig1[0] + ik * nb; | |
642 | + eig2[ik] = eig2[0] + ik * nb; | |
643 | + wght[ik] = wght[0] + ik * nb; | |
644 | + for (ib = 0; ib < nb; ib++) { | |
645 | + wght[ik][ib] = wght[0][0] + ik * nb * nb + ib * nb; | |
646 | + } | |
647 | + } | |
648 | + | |
649 | + for (ik = 0; ik < nk; ik++) | |
650 | + for (ib = 0; ib < nb; ib++) { | |
651 | + eig1[ik][ib] = PyFloat_AsDouble(PyList_GetItem(eig1_po, ik * nb + ib)); | |
652 | + eig2[ik][ib] = PyFloat_AsDouble(PyList_GetItem(eig2_po, ik * nb + ib)); | |
653 | + } | |
654 | + /* | |
655 | + Start main calculation | |
656 | + */ | |
657 | + thr = 1.0e-10; | |
658 | + | |
659 | + ikv = (int**)malloc(6 * nk * sizeof(int*)); | |
660 | + ikv[0] = (int*)malloc(6 * nk * 20 * sizeof(int)); | |
661 | + for (ik = 0; ik < 6 * nk; ik++) { | |
662 | + ikv[ik] = ikv[0] + ik * 20; | |
663 | + } | |
664 | + | |
665 | + ei1 = (double**)malloc(4 * sizeof(double*)); | |
666 | + ej1 = (double**)malloc(4 * sizeof(double*)); | |
667 | + ei1[0] = (double*)malloc(4 * nb * sizeof(double)); | |
668 | + ej1[0] = (double*)malloc(4 * nb * sizeof(double)); | |
669 | + for (i4 = 0; i4 < 4; i4++) { | |
670 | + ei1[i4] = ei1[0] + i4 * nb; | |
671 | + ej1[i4] = ej1[0] + i4 * nb; | |
672 | + } | |
673 | + | |
674 | + w1 = (double***)malloc(nb * sizeof(double**)); | |
675 | + w1[0] = (double**)malloc(nb * 4 * sizeof(double*)); | |
676 | + w1[0][0] = (double*)malloc(nb * 4 * nb * sizeof(double)); | |
677 | + for (ib = 0; ib < nb; ib++) { | |
678 | + w1[ib] = w1[0] + ib * 4; | |
679 | + for (i4 = 0; i4 < 4; i4++) { | |
680 | + w1[ib][i4] = w1[0][0] + ib * 4 * nb + i4 * nb; | |
681 | + } | |
682 | + } | |
683 | + | |
684 | + ej2 = (double**)malloc(nb * sizeof(double*)); | |
685 | + ej2[0] = (double*)malloc(nb * 3 * sizeof(double)); | |
686 | + for (ib = 0; ib < nb; ib++) { | |
687 | + ej2[ib] = ej2[0] + ib * 3; | |
688 | + } | |
689 | + | |
690 | + w2 = (double**)malloc(nb * sizeof(double*)); | |
691 | + w2[0] = (double*)malloc(nb * 3 * sizeof(double)); | |
692 | + for (ib = 0; ib < nb; ib++) { | |
693 | + w2[ib] = w2[0] + ib * 3; | |
694 | + } | |
695 | + | |
696 | + libtetrabz_initialize(ng, bvec, wlsm, ikv); | |
697 | + | |
698 | + for (ik = 0; ik < nk; ik++) | |
699 | + for (ib = 0; ib < nb; ib++) | |
700 | + for (jb = 0; jb < nb; jb++) | |
701 | + wght[ik][ib][jb] = 0.0; | |
702 | + | |
703 | + for (it = 0; it < 6 * nk; it++) { | |
704 | + | |
705 | + for (i4 = 0; i4 < 4; i4++) | |
706 | + for (ib = 0; ib < nb; ib++) { | |
707 | + ei1[i4][ib] = 0.0; | |
708 | + ej1[i4][ib] = 0.0; | |
709 | + } | |
710 | + for (i20 = 0; i20 < 20; i20++) { | |
711 | + for (i4 = 0; i4 < 4; i4++) { | |
712 | + for (ib = 0; ib < nb; ib++) { | |
713 | + ei1[i4][ib] += eig1[ikv[it][i20]][ib] * wlsm[i20][i4]; | |
714 | + ej1[i4][ib] += eig2[ikv[it][i20]][ib] * wlsm[i20][i4]; | |
715 | + } | |
716 | + } | |
717 | + } | |
718 | + | |
719 | + for (ib = 0; ib < nb; ib++) { | |
720 | + | |
721 | + for (i4 = 0; i4 < 4; i4++) | |
722 | + for (jb = 0; jb < nb; jb++) | |
723 | + w1[ib][i4][jb] = 0.0; | |
724 | + | |
725 | + for (i4 = 0; i4 < 4; i4++) e[i4] = ei1[i4][ib]; | |
726 | + eig_sort(4, e, indx); | |
727 | + | |
728 | + if (e[0] < 0.0 && 0.0 <= e[1]) { | |
729 | + | |
730 | + libtetrabz_triangle_a1(e, 0.0, &v, tsmall); | |
731 | + | |
732 | + if (v > thr) { | |
733 | + for (jb = 0; jb < nb; jb++) | |
734 | + for (j3 = 0; j3 < 3; j3++) ej2[jb][j3] = 0.0; | |
735 | + for (i4 = 0; i4 < 4; i4++) | |
736 | + for (jb = 0; jb < nb; jb++) | |
737 | + for (j3 = 0; j3 < 3; j3++) | |
738 | + ej2[jb][j3] += ej1[indx[i4]][jb] * tsmall[i4][j3]; | |
739 | + libtetrabz_dbldelta2(nb, ej2, w2); | |
740 | + for (i4 = 0; i4 < 4; i4++) | |
741 | + for (jb = 0; jb < nb; jb++) | |
742 | + for (j3 = 0; j3 < 3; j3++) | |
743 | + w1[ib][indx[i4]][jb] += v * tsmall[i4][j3] * w2[jb][j3]; | |
744 | + } | |
745 | + } | |
746 | + else if (e[1] < 0.0 && 0.0 <= e[2]) { | |
747 | + | |
748 | + libtetrabz_triangle_b1(e, 0.0, &v, tsmall); | |
749 | + | |
750 | + if (v > thr) { | |
751 | + for (jb = 0; jb < nb; jb++) | |
752 | + for (j3 = 0; j3 < 3; j3++) ej2[jb][j3] = 0.0; | |
753 | + for (i4 = 0; i4 < 4; i4++) | |
754 | + for (jb = 0; jb < nb; jb++) | |
755 | + for (j3 = 0; j3 < 3; j3++) | |
756 | + ej2[jb][j3] += ej1[indx[i4]][jb] * tsmall[i4][j3]; | |
757 | + libtetrabz_dbldelta2(nb, ej2, w2); | |
758 | + for (i4 = 0; i4 < 4; i4++) | |
759 | + for (jb = 0; jb < nb; jb++) | |
760 | + for (j3 = 0; j3 < 3; j3++) | |
761 | + w1[ib][indx[i4]][jb] += v * tsmall[i4][j3] * w2[jb][j3]; | |
762 | + } | |
763 | + | |
764 | + libtetrabz_triangle_b2(e, 0.0, &v, tsmall); | |
765 | + | |
766 | + if (v > thr) { | |
767 | + for (jb = 0; jb < nb; jb++) | |
768 | + for (j3 = 0; j3 < 3; j3++) ej2[jb][j3] = 0.0; | |
769 | + for (i4 = 0; i4 < 4; i4++) | |
770 | + for (jb = 0; jb < nb; jb++) | |
771 | + for (j3 = 0; j3 < 3; j3++) | |
772 | + ej2[jb][j3] += ej1[indx[i4]][jb] * tsmall[i4][j3]; | |
773 | + libtetrabz_dbldelta2(nb, ej2, w2); | |
774 | + for (i4 = 0; i4 < 4; i4++) | |
775 | + for (jb = 0; jb < nb; jb++) | |
776 | + for (j3 = 0; j3 < 3; j3++) | |
777 | + w1[ib][indx[i4]][jb] += v * tsmall[i4][j3] * w2[jb][j3]; | |
778 | + } | |
779 | + } | |
780 | + else if (e[2] < 0.0 && 0.0 < e[3]) { | |
781 | + | |
782 | + libtetrabz_triangle_c1(e, 0.0, &v, tsmall); | |
783 | + | |
784 | + if (v > thr) { | |
785 | + for (jb = 0; jb < nb; jb++) | |
786 | + for (j3 = 0; j3 < 3; j3++) ej2[jb][j3] = 0.0; | |
787 | + for (i4 = 0; i4 < 4; i4++) | |
788 | + for (jb = 0; jb < nb; jb++) | |
789 | + for (j3 = 0; j3 < 3; j3++) | |
790 | + ej2[jb][j3] += ej1[indx[i4]][jb] * tsmall[i4][j3]; | |
791 | + libtetrabz_dbldelta2(nb, ej2, w2); | |
792 | + for (i4 = 0; i4 < 4; i4++) | |
793 | + for (jb = 0; jb < nb; jb++) | |
794 | + for (j3 = 0; j3 < 3; j3++) | |
795 | + w1[ib][indx[i4]][jb] += v * tsmall[i4][j3] * w2[jb][j3]; | |
796 | + } | |
797 | + } | |
798 | + else { | |
799 | + continue; | |
800 | + } | |
801 | + } | |
802 | + for (i20 = 0; i20 < 20; i20++) | |
803 | + for (ib = 0; ib < nb; ib++) | |
804 | + for (i4 = 0; i4 < 4; i4++) | |
805 | + for (jb = 0; jb < nb; jb++) | |
806 | + wght[ikv[it][i20]][ib][jb] += wlsm[i20][i4] * w1[ib][i4][jb]; | |
807 | + } | |
808 | + for (ik = 0; ik < nk; ik++) | |
809 | + for (ib = 0; ib < nb; ib++) | |
810 | + for (jb = 0; jb < nb; jb++) | |
811 | + wght[ik][ib][jb] /= (6.0 * (double)nk); | |
812 | + | |
813 | + free(ikv[0]); | |
814 | + free(ikv); | |
815 | + free(ei1[0]); | |
816 | + free(ei1); | |
817 | + free(ej1[0]); | |
818 | + free(ej1); | |
819 | + free(ej2[0]); | |
820 | + free(ej2); | |
821 | + free(w1[0][0]); | |
822 | + free(w1[0]); | |
823 | + free(w1); | |
824 | + free(w2[0]); | |
825 | + free(w2); | |
826 | + /* | |
827 | + Convert weight to python list object | |
828 | + */ | |
829 | + wght_po = PyList_New(nk * nb * nb); | |
830 | + ierr = 0; | |
831 | + for (ik = 0; ik < nk; ik++) | |
832 | + for (ib = 0; ib < nb; ib++) | |
833 | + for (jb = 0; jb < nb; jb++) | |
834 | + ierr = PyList_SetItem(wght_po, ik * nb * nb + ib * nb + jb, PyFloat_FromDouble(wght[ik][ib][jb])); | |
835 | + if (ierr != 0)printf("Error in PyList_SetItem\n"); | |
836 | + | |
837 | + free(eig1[0]); | |
838 | + free(eig1); | |
839 | + free(eig2[0]); | |
840 | + free(eig2); | |
841 | + free(wght[0][0]); | |
842 | + free(wght[0]); | |
843 | + free(wght); | |
844 | + | |
845 | + return wght_po; | |
846 | +} | |
847 | +/* | |
848 | +Tetrahedron method for theta( - de) | |
849 | +*/ | |
850 | +static void libtetrabz_dblstep2( | |
851 | + int nb, | |
852 | + double ei[4], | |
853 | + double **ej, | |
854 | + double **w1 | |
855 | +) { | |
856 | + int i4, j4, ib, indx[4]; | |
857 | + double v, thr, e[4], tsmall[4][4]; | |
858 | + | |
859 | + thr = 1.0e-8; | |
860 | + | |
861 | + for (ib = 0; ib < nb; ib++) { | |
862 | + | |
863 | + for (i4 = 0; i4 < 4; i4++) | |
864 | + w1[ib][i4] = 0.0; | |
865 | + | |
866 | + for (i4 = 0; i4 < 4; i4++) e[i4] = - ei[i4] + ej[ib][i4]; | |
867 | + eig_sort(4, e, indx); | |
868 | + | |
869 | + if (fabs(e[0]) < thr && fabs(e[3]) < thr) { | |
870 | + /* | |
871 | + Theta(0) = 0.5 | |
872 | + */ | |
873 | + v = 0.5; | |
874 | + for (i4 = 0; i4 < 4; i4++) | |
875 | + w1[ib][i4] += v * 0.25; | |
876 | + } | |
877 | + else if ((e[0] <= 0.0 && 0.0 < e[1]) || (e[0] < 0.0 && 0.0 <= e[1])) { | |
878 | + libtetrabz_tsmall_a1(e, 0.0, &v, tsmall); | |
879 | + for (i4 = 0; i4 < 4; i4++) | |
880 | + for (j4 = 0; j4 < 4; j4++) | |
881 | + w1[ib][indx[i4]] += v * tsmall[i4][j4] * 0.25; | |
882 | + } | |
883 | + else if ((e[1] <= 0.0 && 0.0 < e[2]) || (e[1] < 0.0 && 0.0 <= e[2])) { | |
884 | + | |
885 | + libtetrabz_tsmall_b1(e, 0.0, &v, tsmall); | |
886 | + for (i4 = 0; i4 < 4; i4++) | |
887 | + for (j4 = 0; j4 < 4; j4++) | |
888 | + w1[ib][indx[i4]] += v * tsmall[i4][j4] * 0.25; | |
889 | + | |
890 | + libtetrabz_tsmall_b2(e, 0.0, &v, tsmall); | |
891 | + for (i4 = 0; i4 < 4; i4++) | |
892 | + for (j4 = 0; j4 < 4; j4++) | |
893 | + w1[ib][indx[i4]] += v * tsmall[i4][j4] * 0.25; | |
894 | + | |
895 | + libtetrabz_tsmall_b3(e, 0.0, &v, tsmall); | |
896 | + for (i4 = 0; i4 < 4; i4++) | |
897 | + for (j4 = 0; j4 < 4; j4++) | |
898 | + w1[ib][indx[i4]] += v * tsmall[i4][j4] * 0.25; | |
899 | + } | |
900 | + else if ((e[2] <= 0.0 && 0.0 < e[3]) || (e[2] < 0.0 && 0.0 <= e[3])) { | |
901 | + | |
902 | + libtetrabz_tsmall_c1(e, 0.0, &v, tsmall); | |
903 | + for (i4 = 0; i4 < 4; i4++) | |
904 | + for (j4 = 0; j4 < 4; j4++) | |
905 | + w1[ib][indx[i4]] += v * tsmall[i4][j4] * 0.25; | |
906 | + | |
907 | + libtetrabz_tsmall_c2(e, 0.0, &v, tsmall); | |
908 | + for (i4 = 0; i4 < 4; i4++) | |
909 | + for (j4 = 0; j4 < 4; j4++) | |
910 | + w1[ib][indx[i4]] += v * tsmall[i4][j4] * 0.25; | |
911 | + | |
912 | + libtetrabz_tsmall_c3(e, 0.0, &v, tsmall); | |
913 | + for (i4 = 0; i4 < 4; i4++) | |
914 | + for (j4 = 0; j4 < 4; j4++) | |
915 | + w1[ib][indx[i4]] += v * tsmall[i4][j4] * 0.25; | |
916 | + } | |
917 | + else if (e[3] <= 0.0) { | |
918 | + for (i4 = 0; i4 < 4; i4++) | |
919 | + w1[ib][i4] += 0.25; | |
920 | + } | |
921 | + } | |
922 | +} | |
923 | +/* | |
924 | +Main SUBROUTINE for Theta(- E1) * Theta(E1 - E2) | |
925 | +*/ | |
926 | +static PyObject* dblstep_c(PyObject* self, PyObject* args) | |
927 | +{ | |
928 | + int it, ik, ib, jb, i20, i4, j4, **ikv, indx[4], ierr, ng[3], nk, nb; | |
929 | + double wlsm[20][4], **ei1, **ej1, ei2[4], ** ej2, e[4], *** w1, ** w2, v, tsmall[4][4], thr, | |
930 | + bvec[3][3], ** eig1, ** eig2, *** wght; | |
931 | + PyObject* eig1_po, * eig2_po, * wght_po; | |
932 | + | |
933 | + /* | |
934 | + Read input from python object | |
935 | + */ | |
936 | + if (!PyArg_ParseTuple(args, "iiiiidddddddddOO", | |
937 | + &ng[0], &ng[1], &ng[2], &nk, &nb, | |
938 | + &bvec[0][0], &bvec[0][1], &bvec[0][2], &bvec[1][0], &bvec[1][1], &bvec[1][2], &bvec[2][0], &bvec[2][1], &bvec[2][2], | |
939 | + &eig1_po, &eig2_po)) | |
940 | + return NULL; | |
941 | + /* | |
942 | + convert python list object to array | |
943 | + */ | |
944 | + eig1 = (double**)malloc(nk * sizeof(double*)); | |
945 | + eig1[0] = (double*)malloc(nk * nb * sizeof(double)); | |
946 | + eig2 = (double**)malloc(nk * sizeof(double*)); | |
947 | + eig2[0] = (double*)malloc(nk * nb * sizeof(double)); | |
948 | + wght = (double***)malloc(nk * sizeof(double**)); | |
949 | + wght[0] = (double**)malloc(nk * nb * sizeof(double*)); | |
950 | + wght[0][0] = (double*)malloc(nk * nb * nb * sizeof(double)); | |
951 | + for (ik = 0; ik < nk; ik++) { | |
952 | + eig1[ik] = eig1[0] + ik * nb; | |
953 | + eig2[ik] = eig2[0] + ik * nb; | |
954 | + wght[ik] = wght[0] + ik * nb; | |
955 | + for (ib = 0; ib < nb; ib++) { | |
956 | + wght[ik][ib] = wght[0][0] + ik * nb * nb + ib * nb; | |
957 | + } | |
958 | + } | |
959 | + | |
960 | + for (ik = 0; ik < nk; ik++) | |
961 | + for (ib = 0; ib < nb; ib++) { | |
962 | + eig1[ik][ib] = PyFloat_AsDouble(PyList_GetItem(eig1_po, ik * nb + ib)); | |
963 | + eig2[ik][ib] = PyFloat_AsDouble(PyList_GetItem(eig2_po, ik * nb + ib)); | |
964 | + } | |
965 | + /* | |
966 | + Start main calculation | |
967 | + */ | |
968 | + ikv = (int**)malloc(6 * nk * sizeof(int*)); | |
969 | + ikv[0] = (int*)malloc(6 * nk * 20 * sizeof(int)); | |
970 | + for (ik = 0; ik < 6 * nk; ik++) { | |
971 | + ikv[ik] = ikv[0] + ik * 20; | |
972 | + } | |
973 | + | |
974 | + ei1 = (double**)malloc(4 * sizeof(double*)); | |
975 | + ej1 = (double**)malloc(4 * sizeof(double*)); | |
976 | + ei1[0] = (double*)malloc(4 * nb * sizeof(double)); | |
977 | + ej1[0] = (double*)malloc(4 * nb * sizeof(double)); | |
978 | + for (i4 = 0; i4 < 4; i4++) { | |
979 | + ei1[i4] = ei1[0] + i4 * nb; | |
980 | + ej1[i4] = ej1[0] + i4 * nb; | |
981 | + } | |
982 | + | |
983 | + ej2 = (double**)malloc(nb * sizeof(double*)); | |
984 | + ej2[0] = (double*)malloc(nb * 4 * sizeof(double)); | |
985 | + for (ib = 0; ib < nb; ib++) { | |
986 | + ej2[ib] = ej2[0] + ib * 4; | |
987 | + } | |
988 | + | |
989 | + w1 = (double***)malloc(nb * sizeof(double**)); | |
990 | + w1[0] = (double**)malloc(nb * 4 * sizeof(double*)); | |
991 | + w1[0][0] = (double*)malloc(nb * 4 * nb * sizeof(double)); | |
992 | + for (ib = 0; ib < nb; ib++) { | |
993 | + w1[ib] = w1[0] + ib * 4; | |
994 | + for (i4 = 0; i4 < 4; i4++) { | |
995 | + w1[ib][i4] = w1[0][0] + ib * 4 * nb + i4 * nb; | |
996 | + } | |
997 | + } | |
998 | + | |
999 | + w2 = (double**)malloc(nb * sizeof(double*)); | |
1000 | + w2[0] = (double*)malloc(nb * 4 * sizeof(double)); | |
1001 | + for (ib = 0; ib < nb; ib++) { | |
1002 | + w2[ib] = w2[0] + ib * 4; | |
1003 | + } | |
1004 | + | |
1005 | + libtetrabz_initialize(ng, bvec, wlsm, ikv); | |
1006 | + | |
1007 | + for (ik = 0; ik < nk; ik++) | |
1008 | + for (ib = 0; ib < nb; ib++) | |
1009 | + for (jb = 0; jb < nb; jb++) | |
1010 | + wght[ik][ib][jb] = 0.0; | |
1011 | + | |
1012 | + thr = 1.0e-8; | |
1013 | + | |
1014 | + for(it = 0; it < 6*nk; it++) { | |
1015 | + | |
1016 | + for (i4 = 0; i4 < 4; i4++) | |
1017 | + for (ib = 0; ib < nb; ib++) { | |
1018 | + ei1[i4][ib] = 0.0; | |
1019 | + ej1[i4][ib] = 0.0; | |
1020 | + } | |
1021 | + for (i20 = 0; i20 < 20; i20++) { | |
1022 | + for (i4 = 0; i4 < 4; i4++) { | |
1023 | + for (ib = 0; ib < nb; ib++) { | |
1024 | + ei1[i4][ib] += eig1[ikv[it][i20]][ib] * wlsm[i20][i4]; | |
1025 | + ej1[i4][ib] += eig2[ikv[it][i20]][ib] * wlsm[i20][i4]; | |
1026 | + } | |
1027 | + } | |
1028 | + } | |
1029 | + | |
1030 | + for (ib = 0; ib < nb; ib++) { | |
1031 | + | |
1032 | + for (i4 = 0; i4 < 4; i4++) | |
1033 | + for (jb = 0; jb < nb; jb++) | |
1034 | + w1[ib][i4][jb] = 0.0; | |
1035 | + | |
1036 | + for (i4 = 0; i4 < 4; i4++) e[i4] = ei1[i4][ib]; | |
1037 | + eig_sort(4, e, indx); | |
1038 | + | |
1039 | + if (e[0] <= 0.0 && 0.0 < e[1]) { | |
1040 | + | |
1041 | + libtetrabz_tsmall_a1(e, 0.0, &v, tsmall); | |
1042 | + | |
1043 | + if (v > thr) { | |
1044 | + for (j4 = 0; j4 < 4; j4++) { | |
1045 | + ei2[j4] = 0.0; | |
1046 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
1047 | + } | |
1048 | + for (i4 = 0; i4 < 4; i4++) | |
1049 | + for (j4 = 0; j4 < 4; j4++) { | |
1050 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
1051 | + for (jb = 0; jb < nb; jb++) | |
1052 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
1053 | + } | |
1054 | + libtetrabz_dblstep2(nb, ei2, ej2, w2); | |
1055 | + for (i4 = 0; i4 < 4; i4++) | |
1056 | + for (jb = 0; jb < nb; jb++) | |
1057 | + for (j4 = 0; j4 < 4; j4++) | |
1058 | + w1[ib][indx[i4]][jb] += v * tsmall[i4][j4] * w2[jb][j4]; | |
1059 | + } | |
1060 | + } | |
1061 | + else if (e[1] <= 0.0 && 0.0 < e[2]) { | |
1062 | + | |
1063 | + libtetrabz_tsmall_b1(e, 0.0, &v, tsmall); | |
1064 | + | |
1065 | + if (v > thr) { | |
1066 | + for (j4 = 0; j4 < 4; j4++) { | |
1067 | + ei2[j4] = 0.0; | |
1068 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
1069 | + } | |
1070 | + for (i4 = 0; i4 < 4; i4++) | |
1071 | + for (j4 = 0; j4 < 4; j4++) { | |
1072 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
1073 | + for (jb = 0; jb < nb; jb++) | |
1074 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
1075 | + } | |
1076 | + libtetrabz_dblstep2(nb, ei2, ej2, w2); | |
1077 | + for (i4 = 0; i4 < 4; i4++) | |
1078 | + for (jb = 0; jb < nb; jb++) | |
1079 | + for (j4 = 0; j4 < 4; j4++) | |
1080 | + w1[ib][indx[i4]][jb] += v * tsmall[i4][j4] * w2[jb][j4]; | |
1081 | + } | |
1082 | + | |
1083 | + libtetrabz_tsmall_b2(e, 0.0, &v, tsmall); | |
1084 | + | |
1085 | + if (v > thr) { | |
1086 | + for (j4 = 0; j4 < 4; j4++) { | |
1087 | + ei2[j4] = 0.0; | |
1088 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
1089 | + } | |
1090 | + for (i4 = 0; i4 < 4; i4++) | |
1091 | + for (j4 = 0; j4 < 4; j4++) { | |
1092 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
1093 | + for (jb = 0; jb < nb; jb++) | |
1094 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
1095 | + } | |
1096 | + libtetrabz_dblstep2(nb, ei2, ej2, w2); | |
1097 | + for (i4 = 0; i4 < 4; i4++) | |
1098 | + for (jb = 0; jb < nb; jb++) | |
1099 | + for (j4 = 0; j4 < 4; j4++) | |
1100 | + w1[ib][indx[i4]][jb] += v * tsmall[i4][j4] * w2[jb][j4]; | |
1101 | + } | |
1102 | + | |
1103 | + libtetrabz_tsmall_b3(e, 0.0, &v, tsmall); | |
1104 | + | |
1105 | + if (v > thr) { | |
1106 | + for (j4 = 0; j4 < 4; j4++) { | |
1107 | + ei2[j4] = 0.0; | |
1108 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
1109 | + } | |
1110 | + for (i4 = 0; i4 < 4; i4++) | |
1111 | + for (j4 = 0; j4 < 4; j4++) { | |
1112 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
1113 | + for (jb = 0; jb < nb; jb++) | |
1114 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
1115 | + } | |
1116 | + libtetrabz_dblstep2(nb, ei2, ej2, w2); | |
1117 | + for (i4 = 0; i4 < 4; i4++) | |
1118 | + for (jb = 0; jb < nb; jb++) | |
1119 | + for (j4 = 0; j4 < 4; j4++) | |
1120 | + w1[ib][indx[i4]][jb] += v * tsmall[i4][j4] * w2[jb][j4]; | |
1121 | + } | |
1122 | + } | |
1123 | + else if (e[2] <= 0.0 && 0.0 < e[3]) { | |
1124 | + | |
1125 | + libtetrabz_tsmall_c1(e, 0.0, &v, tsmall); | |
1126 | + | |
1127 | + if (v > thr) { | |
1128 | + for (j4 = 0; j4 < 4; j4++) { | |
1129 | + ei2[j4] = 0.0; | |
1130 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
1131 | + } | |
1132 | + for (i4 = 0; i4 < 4; i4++) | |
1133 | + for (j4 = 0; j4 < 4; j4++) { | |
1134 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
1135 | + for (jb = 0; jb < nb; jb++) | |
1136 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
1137 | + } | |
1138 | + libtetrabz_dblstep2(nb, ei2, ej2, w2); | |
1139 | + for (i4 = 0; i4 < 4; i4++) | |
1140 | + for (jb = 0; jb < nb; jb++) | |
1141 | + for (j4 = 0; j4 < 4; j4++) | |
1142 | + w1[ib][indx[i4]][jb] += v * tsmall[i4][j4] * w2[jb][j4]; | |
1143 | + } | |
1144 | + | |
1145 | + libtetrabz_tsmall_c2(e, 0.0, &v, tsmall); | |
1146 | + | |
1147 | + if (v > thr) { | |
1148 | + for (j4 = 0; j4 < 4; j4++) { | |
1149 | + ei2[j4] = 0.0; | |
1150 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
1151 | + } | |
1152 | + for (i4 = 0; i4 < 4; i4++) | |
1153 | + for (j4 = 0; j4 < 4; j4++) { | |
1154 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
1155 | + for (jb = 0; jb < nb; jb++) | |
1156 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
1157 | + } | |
1158 | + libtetrabz_dblstep2(nb, ei2, ej2, w2); | |
1159 | + for (i4 = 0; i4 < 4; i4++) | |
1160 | + for (jb = 0; jb < nb; jb++) | |
1161 | + for (j4 = 0; j4 < 4; j4++) | |
1162 | + w1[ib][indx[i4]][jb] += v * tsmall[i4][j4] * w2[jb][j4]; | |
1163 | + } | |
1164 | + | |
1165 | + libtetrabz_tsmall_c3(e, 0.0, &v, tsmall); | |
1166 | + | |
1167 | + if (v > thr) { | |
1168 | + for (j4 = 0; j4 < 4; j4++) { | |
1169 | + ei2[j4] = 0.0; | |
1170 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
1171 | + } | |
1172 | + for (i4 = 0; i4 < 4; i4++) | |
1173 | + for (j4 = 0; j4 < 4; j4++) { | |
1174 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
1175 | + for (jb = 0; jb < nb; jb++) | |
1176 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
1177 | + } | |
1178 | + libtetrabz_dblstep2(nb, ei2, ej2, w2); | |
1179 | + for (i4 = 0; i4 < 4; i4++) | |
1180 | + for (jb = 0; jb < nb; jb++) | |
1181 | + for (j4 = 0; j4 < 4; j4++) | |
1182 | + w1[ib][indx[i4]][jb] += v * tsmall[i4][j4] * w2[jb][j4]; | |
1183 | + } | |
1184 | + } | |
1185 | + else if (e[3] <= 0.0) { | |
1186 | + for (i4 = 0; i4 < 4; i4++) { | |
1187 | + ei2[i4] = ei1[i4][ib]; | |
1188 | + for (jb = 0; jb < nb; jb++) | |
1189 | + ej2[jb][i4] = ej1[i4][jb]; | |
1190 | + } | |
1191 | + libtetrabz_dblstep2(nb, ei2, ej2, w2); | |
1192 | + for (i4 = 0; i4 < 4; i4++) | |
1193 | + for (jb = 0; jb < nb; jb++) | |
1194 | + w1[ib][i4][jb] += w2[jb][i4]; | |
1195 | + } | |
1196 | + else { | |
1197 | + continue; | |
1198 | + } | |
1199 | + } | |
1200 | + for (i20 = 0; i20 < 20; i20++) | |
1201 | + for (ib = 0; ib < nb; ib++) | |
1202 | + for (i4 = 0; i4 < 4; i4++) | |
1203 | + for (jb = 0; jb < nb; jb++) | |
1204 | + wght[ikv[it][i20]][ib][jb] += wlsm[i20][i4] * w1[ib][i4][jb]; | |
1205 | + } | |
1206 | + for (ik = 0; ik < nk; ik++) | |
1207 | + for (ib = 0; ib < nb; ib++) | |
1208 | + for (jb = 0; jb < nb; jb++) | |
1209 | + wght[ik][ib][jb] /= (6.0 * (double) nk); | |
1210 | + | |
1211 | + free(ikv[0]); | |
1212 | + free(ikv); | |
1213 | + free(ei1[0]); | |
1214 | + free(ei1); | |
1215 | + free(ej1[0]); | |
1216 | + free(ej1); | |
1217 | + free(ej2[0]); | |
1218 | + free(ej2); | |
1219 | + free(w1[0][0]); | |
1220 | + free(w1[0]); | |
1221 | + free(w1); | |
1222 | + free(w2[0]); | |
1223 | + free(w2); | |
1224 | + /* | |
1225 | + Convert weight to python list object | |
1226 | + */ | |
1227 | + wght_po = PyList_New(nk * nb * nb); | |
1228 | + ierr = 0; | |
1229 | + for (ik = 0; ik < nk; ik++) | |
1230 | + for (ib = 0; ib < nb; ib++) | |
1231 | + for (jb = 0; jb < nb; jb++) | |
1232 | + ierr = PyList_SetItem(wght_po, ik * nb * nb + ib * nb + jb, PyFloat_FromDouble(wght[ik][ib][jb])); | |
1233 | + if (ierr != 0)printf("Error in PyList_SetItem\n"); | |
1234 | + | |
1235 | + free(eig1[0]); | |
1236 | + free(eig1); | |
1237 | + free(eig2[0]); | |
1238 | + free(eig2); | |
1239 | + free(wght[0][0]); | |
1240 | + free(wght[0]); | |
1241 | + free(wght); | |
1242 | + | |
1243 | + return wght_po; | |
1244 | +} | |
1245 | +/* | |
1246 | +Compute Dos : Delta(E - E1) | |
1247 | +*/ | |
1248 | +static PyObject* dos_c(PyObject* self, PyObject* args) { | |
1249 | + int it, ik, ib, ii, jj, ie, ** ikv, indx[4], ierr, ng[3], nk, nb, ne; | |
1250 | + double wlsm[20][4], ** ei1, e[4], *** w1, v, tsmall[4][3], bvec[3][3], ** eig, * e0, *** wght; | |
1251 | + PyObject* eig_po, * e0_po, * wght_po; | |
1252 | + /* | |
1253 | + Read input from python object | |
1254 | + */ | |
1255 | + if (!PyArg_ParseTuple(args, "iiiiiidddddddddOO", | |
1256 | + &ng[0], &ng[1], &ng[2], &nk, &nb, &ne, | |
1257 | + &bvec[0][0], &bvec[0][1], &bvec[0][2], &bvec[1][0], &bvec[1][1], &bvec[1][2], &bvec[2][0], &bvec[2][1], &bvec[2][2], | |
1258 | + &eig_po, &e0_po)) | |
1259 | + return NULL; | |
1260 | + /* | |
1261 | + convert python list object to array | |
1262 | + */ | |
1263 | + eig = (double**)malloc(nk * sizeof(double*)); | |
1264 | + eig[0] = (double*)malloc(nk * nb * sizeof(double)); | |
1265 | + wght = (double***)malloc(nk * sizeof(double**)); | |
1266 | + wght[0] = (double**)malloc(nk * nb * sizeof(double*)); | |
1267 | + wght[0][0] = (double*)malloc(nk * nb * ne * sizeof(double)); | |
1268 | + for (ik = 0; ik < nk; ik++) { | |
1269 | + eig[ik] = eig[0] + ik * nb; | |
1270 | + wght[ik] = wght[0] + ik * nb; | |
1271 | + for (ib = 0; ib < nb; ib++) { | |
1272 | + wght[ik][ib] = wght[0][0] + ik * nb * ne + ib * ne; | |
1273 | + } | |
1274 | + } | |
1275 | + e0 = (double*)malloc(ne * sizeof(double)); | |
1276 | + | |
1277 | + for (ik = 0; ik < nk; ik++) | |
1278 | + for (ib = 0; ib < nb; ib++) | |
1279 | + eig[ik][ib] = PyFloat_AsDouble(PyList_GetItem(eig_po, ik * nb + ib)); | |
1280 | + for (ie = 0; ie < ne; ie++)e0[ie] = PyFloat_AsDouble(PyList_GetItem(e0_po, ie)); | |
1281 | + /* | |
1282 | + Start main calculation | |
1283 | + */ | |
1284 | + ikv = (int**)malloc(6 * nk * sizeof(int*)); | |
1285 | + ikv[0] = (int*)malloc(6 * nk * 20 * sizeof(int)); | |
1286 | + for (ik = 0; ik < 6 * nk; ik++) { | |
1287 | + ikv[ik] = ikv[0] + ik * 20; | |
1288 | + } | |
1289 | + | |
1290 | + ei1 = (double**)malloc(4 * sizeof(double*)); | |
1291 | + ei1[0] = (double*)malloc(4 * nb * sizeof(double)); | |
1292 | + for (ii = 0; ii < 4; ii++) { | |
1293 | + ei1[ii] = ei1[0] + ii * nb; | |
1294 | + } | |
1295 | + | |
1296 | + w1 = (double***)malloc(nb * sizeof(double**)); | |
1297 | + w1[0] = (double**)malloc(nb * ne * sizeof(double*)); | |
1298 | + w1[0][0] = (double*)malloc(nb * ne * 4 * sizeof(double)); | |
1299 | + for (ib = 0; ib < nb; ib++) { | |
1300 | + w1[ib] = w1[0] + ib * ne; | |
1301 | + for (ie = 0; ie < ne; ie++) { | |
1302 | + w1[ib][ie] = w1[0][0] + ib * ne * 4 + ie * 4; | |
1303 | + } | |
1304 | + } | |
1305 | + | |
1306 | + libtetrabz_initialize(ng, bvec, wlsm, ikv); | |
1307 | + | |
1308 | + for (ik = 0; ik < nk; ik++) | |
1309 | + for (ib = 0; ib < nb; ib++) | |
1310 | + for (ie = 0; ie < ne; ie++) | |
1311 | + wght[ik][ib][ie] = 0.0; | |
1312 | + | |
1313 | + for (it = 0; it < 6 * nk; it++) { | |
1314 | + | |
1315 | + for (ii = 0; ii < 4; ii++) | |
1316 | + for (ib = 0; ib < nb; ib++) | |
1317 | + ei1[ii][ib] = 0.0; | |
1318 | + for (jj = 0; jj < 20; jj++) | |
1319 | + for (ii = 0; ii < 4; ii++) | |
1320 | + for (ib = 0; ib < nb; ib++) | |
1321 | + ei1[ii][ib] += eig[ikv[it][jj]][ib] * wlsm[jj][ii]; | |
1322 | + | |
1323 | + for (ib = 0; ib < nb; ib++) { | |
1324 | + | |
1325 | + for (ie = 0; ie < ne; ie++) | |
1326 | + for (ii = 0; ii < 4; ii++) | |
1327 | + w1[ib][ie][ii] = 0.0; | |
1328 | + | |
1329 | + for (ii = 0; ii < 4; ii++) e[ii] = ei1[ii][ib]; | |
1330 | + eig_sort(4, e, indx); | |
1331 | + | |
1332 | + for (ie = 0; ie < ne; ie++) { | |
1333 | + | |
1334 | + if ((e[0] < e0[ie] && e0[ie] <= e[1]) || (e[0] <= e0[ie] && e0[ie] < e[1])) { | |
1335 | + | |
1336 | + libtetrabz_triangle_a1(e, e0[ie], &v, tsmall); | |
1337 | + for (ii = 0; ii < 4; ii++) | |
1338 | + for (jj = 0; jj < 3; jj++) | |
1339 | + w1[ib][ie][indx[ii]] += v * tsmall[ii][jj] / 3.0; | |
1340 | + | |
1341 | + } | |
1342 | + else if ((e[1] < e0[ie] && e0[ie] <= e[2]) || (e[1] <= e0[ie] && e0[ie] < e[2])) { | |
1343 | + | |
1344 | + libtetrabz_triangle_b1(e, e0[ie], &v, tsmall); | |
1345 | + for (ii = 0; ii < 4; ii++) | |
1346 | + for (jj = 0; jj < 3; jj++) | |
1347 | + w1[ib][ie][indx[ii]] += v * tsmall[ii][jj] / 3.0; | |
1348 | + | |
1349 | + libtetrabz_triangle_b2(e, e0[ie], &v, tsmall); | |
1350 | + for (ii = 0; ii < 4; ii++) | |
1351 | + for (jj = 0; jj < 3; jj++) | |
1352 | + w1[ib][ie][indx[ii]] += v * tsmall[ii][jj] / 3.0; | |
1353 | + } | |
1354 | + else if ((e[2] < e0[ie] && e0[ie] <= e[3]) || (e[2] <= e0[ie] && e0[ie] < e[3])) { | |
1355 | + | |
1356 | + libtetrabz_triangle_c1(e, e0[ie], &v, tsmall); | |
1357 | + for (ii = 0; ii < 4; ii++) | |
1358 | + for (jj = 0; jj < 3; jj++) | |
1359 | + w1[ib][ie][indx[ii]] += v * tsmall[ii][jj] / 3.0; | |
1360 | + } | |
1361 | + else { | |
1362 | + continue; | |
1363 | + } | |
1364 | + } | |
1365 | + } | |
1366 | + for (ii = 0; ii < 20; ii++) | |
1367 | + for (ib = 0; ib < nb; ib++) | |
1368 | + for (ie = 0; ie < ne; ie++) | |
1369 | + for (jj = 0; jj < 4; jj++) | |
1370 | + wght[ikv[it][ii]][ib][ie] += wlsm[ii][jj] * w1[ib][ie][jj]; | |
1371 | + } | |
1372 | + for (ik = 0; ik < nk; ik++) | |
1373 | + for (ib = 0; ib < nb; ib++) | |
1374 | + for (ie = 0; ie < ne; ie++) | |
1375 | + wght[ik][ib][ie] /= (6.0 * (double)nk); | |
1376 | + | |
1377 | + free(ikv[0]); | |
1378 | + free(ikv); | |
1379 | + free(ei1[0]); | |
1380 | + free(ei1); | |
1381 | + free(w1[0][0]); | |
1382 | + free(w1[0]); | |
1383 | + free(w1); | |
1384 | + /* | |
1385 | + Convert weight to python list object | |
1386 | + */ | |
1387 | + wght_po = PyList_New(nk * nb * ne); | |
1388 | + ierr = 0; | |
1389 | + for (ik = 0; ik < nk; ik++) | |
1390 | + for (ib = 0; ib < nb; ib++) | |
1391 | + for (ie = 0; ie < ne; ie++) | |
1392 | + ierr = PyList_SetItem(wght_po, ik * nb * ne + ib * ne + ie, PyFloat_FromDouble(wght[ik][ib][ie])); | |
1393 | + if (ierr != 0)printf("Error in PyList_SetItem\n"); | |
1394 | + | |
1395 | + free(eig[0]); | |
1396 | + free(eig); | |
1397 | + free(wght[0][0]); | |
1398 | + free(wght[0]); | |
1399 | + free(wght); | |
1400 | + free(e0); | |
1401 | + | |
1402 | + return wght_po; | |
1403 | +} | |
1404 | +/* | |
1405 | +Compute integrated Dos : theta(E - E1) | |
1406 | +*/ | |
1407 | +static PyObject* intdos_c(PyObject* self, PyObject* args) { | |
1408 | + int it, ik, ib, ii, jj, ie, ** ikv, indx[4], ierr, ng[3], nk, nb, ne; | |
1409 | + double wlsm[20][4], ** ei1, e[4], *** w1, v, tsmall[4][4], bvec[3][3], ** eig, * e0, *** wght; | |
1410 | + PyObject* eig_po, * e0_po, * wght_po; | |
1411 | + /* | |
1412 | + Read input from python object | |
1413 | + */ | |
1414 | + if (!PyArg_ParseTuple(args, "iiiiiidddddddddOO", | |
1415 | + &ng[0], &ng[1], &ng[2], &nk, &nb, &ne, | |
1416 | + &bvec[0][0], &bvec[0][1], &bvec[0][2], &bvec[1][0], &bvec[1][1], &bvec[1][2], &bvec[2][0], &bvec[2][1], &bvec[2][2], | |
1417 | + &eig_po, &e0_po)) | |
1418 | + return NULL; | |
1419 | + /* | |
1420 | + convert python list object to array | |
1421 | + */ | |
1422 | + eig = (double**)malloc(nk * sizeof(double*)); | |
1423 | + eig[0] = (double*)malloc(nk * nb * sizeof(double)); | |
1424 | + wght = (double***)malloc(nk * sizeof(double**)); | |
1425 | + wght[0] = (double**)malloc(nk * nb * sizeof(double*)); | |
1426 | + wght[0][0] = (double*)malloc(nk * nb * ne * sizeof(double)); | |
1427 | + for (ik = 0; ik < nk; ik++) { | |
1428 | + eig[ik] = eig[0] + ik * nb; | |
1429 | + wght[ik] = wght[0] + ik * nb; | |
1430 | + for (ib = 0; ib < nb; ib++) { | |
1431 | + wght[ik][ib] = wght[0][0] + ik * nb * ne + ib * ne; | |
1432 | + } | |
1433 | + } | |
1434 | + e0 = (double*)malloc(ne * sizeof(double)); | |
1435 | + | |
1436 | + for (ik = 0; ik < nk; ik++) | |
1437 | + for (ib = 0; ib < nb; ib++) | |
1438 | + eig[ik][ib] = PyFloat_AsDouble(PyList_GetItem(eig_po, ik * nb + ib)); | |
1439 | + for (ie = 0; ie < ne; ie++)e0[ie] = PyFloat_AsDouble(PyList_GetItem(e0_po, ie)); | |
1440 | + /* | |
1441 | + Start main calculation | |
1442 | + */ | |
1443 | + ikv = (int**)malloc(6 * nk * sizeof(int*)); | |
1444 | + ikv[0] = (int*)malloc(6 * nk * 20 * sizeof(int)); | |
1445 | + for (ik = 0; ik < 6 * nk; ik++) { | |
1446 | + ikv[ik] = ikv[0] + ik * 20; | |
1447 | + } | |
1448 | + | |
1449 | + ei1 = (double**)malloc(4 * sizeof(double*)); | |
1450 | + ei1[0] = (double*)malloc(4 * nb * sizeof(double)); | |
1451 | + for (ii = 0; ii < 4; ii++) { | |
1452 | + ei1[ii] = ei1[0] + ii * nb; | |
1453 | + } | |
1454 | + | |
1455 | + w1 = (double***)malloc(nb * sizeof(double**)); | |
1456 | + w1[0] = (double**)malloc(nb * ne * sizeof(double*)); | |
1457 | + w1[0][0] = (double*)malloc(nb * ne * 4 * sizeof(double)); | |
1458 | + for (ib = 0; ib < nb; ib++) { | |
1459 | + w1[ib] = w1[0] + ib * ne; | |
1460 | + for (ie = 0; ie < ne; ie++) { | |
1461 | + w1[ib][ie] = w1[0][0] + ib * ne * 4 + ie * 4; | |
1462 | + } | |
1463 | + } | |
1464 | + | |
1465 | + libtetrabz_initialize(ng, bvec, wlsm, ikv); | |
1466 | + | |
1467 | + for (ik = 0; ik < nk; ik++) | |
1468 | + for (ib = 0; ib < nb; ib++) | |
1469 | + for (ie = 0; ie < ne; ie++) | |
1470 | + wght[ik][ib][ie] = 0.0; | |
1471 | + | |
1472 | + for (it = 0; it < 6 * nk; it++) { | |
1473 | + | |
1474 | + for (ii = 0; ii < 4; ii++) | |
1475 | + for (ib = 0; ib < nb; ib++) | |
1476 | + ei1[ii][ib] = 0.0; | |
1477 | + for (jj = 0; jj < 20; jj++) | |
1478 | + for (ii = 0; ii < 4; ii++) | |
1479 | + for (ib = 0; ib < nb; ib++) | |
1480 | + ei1[ii][ib] += eig[ikv[it][jj]][ib] * wlsm[jj][ii]; | |
1481 | + | |
1482 | + for (ib = 0; ib < nb; ib++) | |
1483 | + for (ie = 0; ie < ne; ie++) | |
1484 | + for (ii = 0; ii < 4; ii++) | |
1485 | + w1[ib][ie][ii] = 0.0; | |
1486 | + | |
1487 | + for (ib = 0; ib < nb; ib++) { | |
1488 | + | |
1489 | + for (ii = 0; ii < 4; ii++) e[ii] = ei1[ii][ib]; | |
1490 | + eig_sort(4, e, indx); | |
1491 | + | |
1492 | + for (ie = 0; ie < ne; ie++) { | |
1493 | + | |
1494 | + if ((e[0] <= e0[ie] && e0[ie] < e[1]) || (e[0] < e0[ie] && e0[ie] <= e[1])) { | |
1495 | + libtetrabz_tsmall_a1(e, e0[ie], &v, tsmall); | |
1496 | + for (ii = 0; ii < 4; ii++) | |
1497 | + for (jj = 0; jj < 4; jj++) | |
1498 | + w1[ib][ie][indx[ii]] += v * tsmall[ii][jj] * 0.25; | |
1499 | + } | |
1500 | + else if ((e[1] <= e0[ie] && e0[ie] < e[2]) || (e[1] < e0[ie] && e0[ie] <= e[2])) { | |
1501 | + | |
1502 | + libtetrabz_tsmall_b1(e, e0[ie], &v, tsmall); | |
1503 | + for (ii = 0; ii < 4; ii++) | |
1504 | + for (jj = 0; jj < 4; jj++) | |
1505 | + w1[ib][ie][indx[ii]] += v * tsmall[ii][jj] * 0.25; | |
1506 | + | |
1507 | + libtetrabz_tsmall_b2(e, e0[ie], &v, tsmall); | |
1508 | + for (ii = 0; ii < 4; ii++) | |
1509 | + for (jj = 0; jj < 4; jj++) | |
1510 | + w1[ib][ie][indx[ii]] += v * tsmall[ii][jj] * 0.25; | |
1511 | + | |
1512 | + libtetrabz_tsmall_b3(e, e0[ie], &v, tsmall); | |
1513 | + for (ii = 0; ii < 4; ii++) | |
1514 | + for (jj = 0; jj < 4; jj++) | |
1515 | + w1[ib][ie][indx[ii]] += v * tsmall[ii][jj] * 0.25; | |
1516 | + | |
1517 | + } | |
1518 | + else if ((e[2] <= e0[ie] && e0[ie] < e[3]) || (e[2] < e0[ie] && e0[ie] <= e[3])) { | |
1519 | + | |
1520 | + libtetrabz_tsmall_c1(e, e0[ie], &v, tsmall); | |
1521 | + for (ii = 0; ii < 4; ii++) | |
1522 | + for (jj = 0; jj < 4; jj++) | |
1523 | + w1[ib][ie][indx[ii]] += v * tsmall[ii][jj] * 0.25; | |
1524 | + | |
1525 | + libtetrabz_tsmall_c2(e, e0[ie], &v, tsmall); | |
1526 | + for (ii = 0; ii < 4; ii++) | |
1527 | + for (jj = 0; jj < 4; jj++) | |
1528 | + w1[ib][ie][indx[ii]] += v * tsmall[ii][jj] * 0.25; | |
1529 | + | |
1530 | + libtetrabz_tsmall_c3(e, e0[ie], &v, tsmall); | |
1531 | + for (ii = 0; ii < 4; ii++) | |
1532 | + for (jj = 0; jj < 4; jj++) | |
1533 | + w1[ib][ie][indx[ii]] += v * tsmall[ii][jj] * 0.25; | |
1534 | + | |
1535 | + } | |
1536 | + else if (e[3] <= e0[ie]) { | |
1537 | + for (ii = 0; ii < 4; ii++) | |
1538 | + w1[ib][ie][ii] = 0.25; | |
1539 | + } | |
1540 | + else { | |
1541 | + continue; | |
1542 | + } | |
1543 | + } | |
1544 | + } | |
1545 | + | |
1546 | + for (ii = 0; ii < 20; ii++) | |
1547 | + for (ib = 0; ib < nb; ib++) | |
1548 | + for (ie = 0; ie < ne; ie++) | |
1549 | + for (jj = 0; jj < 4; jj++) | |
1550 | + wght[ikv[it][ii]][ib][ie] += wlsm[ii][jj] * w1[ib][ie][jj]; | |
1551 | + } | |
1552 | + for (ik = 0; ik < nk; ik++) | |
1553 | + for (ib = 0; ib < nb; ib++) | |
1554 | + for (ie = 0; ie < ne; ie++) | |
1555 | + wght[ik][ib][ie] /= (6.0 * (double)nk); | |
1556 | + | |
1557 | + free(ikv[0]); | |
1558 | + free(ikv); | |
1559 | + free(ei1[0]); | |
1560 | + free(ei1); | |
1561 | + free(w1[0][0]); | |
1562 | + free(w1[0]); | |
1563 | + free(w1); | |
1564 | + /* | |
1565 | + Convert weight to python list object | |
1566 | + */ | |
1567 | + wght_po = PyList_New(nk * nb * ne); | |
1568 | + ierr = 0; | |
1569 | + for (ik = 0; ik < nk; ik++) | |
1570 | + for (ib = 0; ib < nb; ib++) | |
1571 | + for (ie = 0; ie < ne; ie++) | |
1572 | + ierr = PyList_SetItem(wght_po, ik * nb * ne + ib * ne + ie, PyFloat_FromDouble(wght[ik][ib][ie])); | |
1573 | + if (ierr != 0)printf("Error in PyList_SetItem\n"); | |
1574 | + | |
1575 | + free(eig[0]); | |
1576 | + free(eig); | |
1577 | + free(wght[0][0]); | |
1578 | + free(wght[0]); | |
1579 | + free(wght); | |
1580 | + free(e0); | |
1581 | + | |
1582 | + return wght_po; } | |
1583 | +/* | |
1584 | + 3rd step for Fermi's golden rule | |
1585 | +*/ | |
1586 | +static void libtetrabz_fermigr3( | |
1587 | + int ne, | |
1588 | + double *e0, | |
1589 | + double de[4], | |
1590 | + double **w1 | |
1591 | +) { | |
1592 | + int i4, j3, ie, indx[4]; | |
1593 | + double e[4], tsmall[4][3], v; | |
1594 | + | |
1595 | + for (i4 = 0; i4 < 4; i4++) e[i4] = de[i4]; | |
1596 | + eig_sort(4, e, indx); | |
1597 | + | |
1598 | + for (ie = 0; ie < ne; ie++) { | |
1599 | + | |
1600 | + for (i4 = 0; i4 < 4; i4++) w1[i4][ie] = 0.0; | |
1601 | + | |
1602 | + if (e[0] < e0[ie] && e0[ie] <= e[1]) { | |
1603 | + | |
1604 | + libtetrabz_triangle_a1(e, e0[ie], &v, tsmall); | |
1605 | + for (i4 = 0; i4 < 4; i4++) | |
1606 | + for (j3 = 0; j3 < 3; j3++) | |
1607 | + w1[indx[i4]][ie] += v * tsmall[i4][j3] / 3.0; | |
1608 | + } | |
1609 | + else if (e[1] < e0[ie] && e0[ie] <= e[2]) { | |
1610 | + | |
1611 | + libtetrabz_triangle_b1(e, e0[ie], &v, tsmall); | |
1612 | + for (i4 = 0; i4 < 4; i4++) | |
1613 | + for (j3 = 0; j3 < 3; j3++) | |
1614 | + w1[indx[i4]][ie] += v * tsmall[i4][j3] / 3.0; | |
1615 | + | |
1616 | + libtetrabz_triangle_b2(e, e0[ie], &v, tsmall); | |
1617 | + for (i4 = 0; i4 < 4; i4++) | |
1618 | + for (j3 = 0; j3 < 3; j3++) | |
1619 | + w1[indx[i4]][ie] += v * tsmall[i4][j3] / 3.0; | |
1620 | + } | |
1621 | + else if (e[2] < e0[ie] && e0[ie] < e[3]) { | |
1622 | + | |
1623 | + libtetrabz_triangle_c1(e, e0[ie], &v, tsmall); | |
1624 | + for (i4 = 0; i4 < 4; i4++) | |
1625 | + for (j3 = 0; j3 < 3; j3++) | |
1626 | + w1[indx[i4]][ie] += v * tsmall[i4][j3] / 3.0; | |
1627 | + } | |
1628 | + } | |
1629 | +} | |
1630 | +/* | |
1631 | +2nd step for Fermi's golden rule | |
1632 | +*/ | |
1633 | +static void libtetrabz_fermigr2( | |
1634 | + int nb, | |
1635 | + int ne, | |
1636 | + double *e0, | |
1637 | + double *ei1, | |
1638 | + double **ej1, | |
1639 | + double ***w1 | |
1640 | +) { | |
1641 | + int ib, i4, j4, ie, indx[4]; | |
1642 | + double e[4], tsmall[4][4], v, de[4], thr, **w2; | |
1643 | + | |
1644 | + w2 = (double**)malloc(4 * sizeof(double*)); | |
1645 | + w2[0] = (double*)malloc(4 * ne * sizeof(double)); | |
1646 | + for (i4 = 0; i4 < 4; i4++) { | |
1647 | + w2[i4] = w2[0] + i4 * ne; | |
1648 | + } | |
1649 | + | |
1650 | + thr = 1.0e-8; | |
1651 | + | |
1652 | + for (ib = 0; ib < nb; ib++) { | |
1653 | + | |
1654 | + for (i4 = 0; i4 < 4; i4++) | |
1655 | + for (ie = 0; ie < ne; ie++) | |
1656 | + w1[ib][i4][ie] = 0.0; | |
1657 | + | |
1658 | + for (i4 = 0; i4 < 4; i4++) e[i4] = -ej1[ib][i4]; | |
1659 | + eig_sort(4, e, indx); | |
1660 | + | |
1661 | + if ((e[0] <= 0.0 && 0.0 < e[1]) || (e[0] < 0.0 && 0.0 <= e[1])) { | |
1662 | + | |
1663 | + libtetrabz_tsmall_a1(e, 0.0, &v, tsmall); | |
1664 | + | |
1665 | + if (v > thr) { | |
1666 | + for (j4 = 0; j4 < 4; j4++) de[j4] = 0.0; | |
1667 | + for (i4 = 0; i4 < 4; i4++) | |
1668 | + for (j4 = 0; j4 < 4; j4++) | |
1669 | + de[j4] += (ej1[ib][indx[i4]] - ei1[indx[i4]]) * tsmall[i4][j4]; | |
1670 | + libtetrabz_fermigr3(ne, e0, de, w2); | |
1671 | + for (i4 = 0; i4 < 4; i4++) | |
1672 | + for (j4 = 0; j4 < 4; j4++) | |
1673 | + for (ie = 0; ie < ne; ie++) | |
1674 | + w1[ib][indx[i4]][ie] += v * tsmall[i4][j4] * w2[j4][ie]; | |
1675 | + } | |
1676 | + } | |
1677 | + else if ((e[1] <= 0.0 && 0.0 < e[2]) || (e[1] < 0.0 && 0.0 <= e[2])) { | |
1678 | + | |
1679 | + libtetrabz_tsmall_b1(e, 0.0, &v, tsmall); | |
1680 | + | |
1681 | + if (v > thr) { | |
1682 | + for (j4 = 0; j4 < 4; j4++) de[j4] = 0.0; | |
1683 | + for (i4 = 0; i4 < 4; i4++) | |
1684 | + for (j4 = 0; j4 < 4; j4++) | |
1685 | + de[j4] += (ej1[ib][indx[i4]] - ei1[indx[i4]]) * tsmall[i4][j4]; | |
1686 | + libtetrabz_fermigr3(ne, e0, de, w2); | |
1687 | + for (i4 = 0; i4 < 4; i4++) | |
1688 | + for (j4 = 0; j4 < 4; j4++) | |
1689 | + for (ie = 0; ie < ne; ie++) | |
1690 | + w1[ib][indx[i4]][ie] += v * tsmall[i4][j4] * w2[j4][ie]; | |
1691 | + } | |
1692 | + | |
1693 | + libtetrabz_tsmall_b2(e, 0.0, &v, tsmall); | |
1694 | + | |
1695 | + if (v > thr) { | |
1696 | + for (j4 = 0; j4 < 4; j4++) de[j4] = 0.0; | |
1697 | + for (i4 = 0; i4 < 4; i4++) | |
1698 | + for (j4 = 0; j4 < 4; j4++) | |
1699 | + de[j4] += (ej1[ib][indx[i4]] - ei1[indx[i4]]) * tsmall[i4][j4]; | |
1700 | + libtetrabz_fermigr3(ne, e0, de, w2); | |
1701 | + for (i4 = 0; i4 < 4; i4++) | |
1702 | + for (j4 = 0; j4 < 4; j4++) | |
1703 | + for (ie = 0; ie < ne; ie++) | |
1704 | + w1[ib][indx[i4]][ie] += v * tsmall[i4][j4] * w2[j4][ie]; | |
1705 | + } | |
1706 | + | |
1707 | + libtetrabz_tsmall_b3(e, 0.0, &v, tsmall); | |
1708 | + | |
1709 | + if (v > thr) { | |
1710 | + for (j4 = 0; j4 < 4; j4++) de[j4] = 0.0; | |
1711 | + for (i4 = 0; i4 < 4; i4++) | |
1712 | + for (j4 = 0; j4 < 4; j4++) | |
1713 | + de[j4] += (ej1[ib][indx[i4]] - ei1[indx[i4]]) * tsmall[i4][j4]; | |
1714 | + libtetrabz_fermigr3(ne, e0, de, w2); | |
1715 | + for (i4 = 0; i4 < 4; i4++) | |
1716 | + for (j4 = 0; j4 < 4; j4++) | |
1717 | + for (ie = 0; ie < ne; ie++) | |
1718 | + w1[ib][indx[i4]][ie] += v * tsmall[i4][j4] * w2[j4][ie]; | |
1719 | + } | |
1720 | + } | |
1721 | + else if ((e[2] <= 0.0 && 0.0 < e[3]) || (e[2] < 0.0 && 0.0 <= e[3])) { | |
1722 | + | |
1723 | + libtetrabz_tsmall_c1(e, 0.0, &v, tsmall); | |
1724 | + | |
1725 | + if (v > thr) { | |
1726 | + for (j4 = 0; j4 < 4; j4++) de[j4] = 0.0; | |
1727 | + for (i4 = 0; i4 < 4; i4++) | |
1728 | + for (j4 = 0; j4 < 4; j4++) | |
1729 | + de[j4] += (ej1[ib][indx[i4]] - ei1[indx[i4]]) * tsmall[i4][j4]; | |
1730 | + libtetrabz_fermigr3(ne, e0, de, w2); | |
1731 | + for (i4 = 0; i4 < 4; i4++) | |
1732 | + for (j4 = 0; j4 < 4; j4++) | |
1733 | + for (ie = 0; ie < ne; ie++) | |
1734 | + w1[ib][indx[i4]][ie] += v * tsmall[i4][j4] * w2[j4][ie]; | |
1735 | + } | |
1736 | + | |
1737 | + libtetrabz_tsmall_c2(e, 0.0, &v, tsmall); | |
1738 | + | |
1739 | + if (v > thr) { | |
1740 | + for (j4 = 0; j4 < 4; j4++) de[j4] = 0.0; | |
1741 | + for (i4 = 0; i4 < 4; i4++) | |
1742 | + for (j4 = 0; j4 < 4; j4++) | |
1743 | + de[j4] += (ej1[ib][indx[i4]] - ei1[indx[i4]]) * tsmall[i4][j4]; | |
1744 | + libtetrabz_fermigr3(ne, e0, de, w2); | |
1745 | + for (i4 = 0; i4 < 4; i4++) | |
1746 | + for (j4 = 0; j4 < 4; j4++) | |
1747 | + for (ie = 0; ie < ne; ie++) | |
1748 | + w1[ib][indx[i4]][ie] += v * tsmall[i4][j4] * w2[j4][ie]; | |
1749 | + } | |
1750 | + | |
1751 | + libtetrabz_tsmall_c3(e, 0.0, &v, tsmall); | |
1752 | + | |
1753 | + if (v > thr) { | |
1754 | + for (j4 = 0; j4 < 4; j4++) de[j4] = 0.0; | |
1755 | + for (i4 = 0; i4 < 4; i4++) | |
1756 | + for (j4 = 0; j4 < 4; j4++) | |
1757 | + de[j4] += (ej1[ib][indx[i4]] - ei1[indx[i4]]) * tsmall[i4][j4]; | |
1758 | + libtetrabz_fermigr3(ne, e0, de, w2); | |
1759 | + for (i4 = 0; i4 < 4; i4++) | |
1760 | + for (j4 = 0; j4 < 4; j4++) | |
1761 | + for (ie = 0; ie < ne; ie++) | |
1762 | + w1[ib][indx[i4]][ie] += v * tsmall[i4][j4] * w2[j4][ie]; | |
1763 | + } | |
1764 | + } | |
1765 | + else if (e[3] <= 0.0) { | |
1766 | + for (i4 = 0; i4 < 4; i4++) | |
1767 | + de[i4] = ej1[ib][i4] - ei1[i4]; | |
1768 | + libtetrabz_fermigr3(ne, e0, de, w2); | |
1769 | + for (i4 = 0; i4 < 4; i4++) | |
1770 | + for (ie = 0; ie < ne; ie++) | |
1771 | + w1[ib][i4][ie] += w2[i4][ie]; | |
1772 | + } | |
1773 | + } | |
1774 | + | |
1775 | + free(w2[0]); | |
1776 | + free(w2); | |
1777 | +} | |
1778 | +/* | |
1779 | +Main SUBROUTINE for Fermi's Golden rule : Theta(- E1) * Theta(E2) * Delta(E2 - E1 - w) | |
1780 | +*/ | |
1781 | +static PyObject* fermigr_c(PyObject* self, PyObject* args) | |
1782 | +{ | |
1783 | + int it, ik, ib, i20, i4, j4, jb, ie, **ikv, indx[4], ierr, ng[3], nk, nb, ne; | |
1784 | + double wlsm[20][4], **ei1, **ej1, ei2[4], ** ej2, e[4], **** w1, *** w2, v, tsmall[4][4], thr, | |
1785 | + bvec[3][3], ** eig1, ** eig2, *e0, * ***wght; | |
1786 | + PyObject* eig1_po, * eig2_po, *e0_po, * wght_po; | |
1787 | + /* | |
1788 | + Read input from python object | |
1789 | + */ | |
1790 | + if (!PyArg_ParseTuple(args, "iiiiiidddddddddOOO", | |
1791 | + &ng[0], &ng[1], &ng[2], &nk, &nb, &ne, | |
1792 | + &bvec[0][0], &bvec[0][1], &bvec[0][2], &bvec[1][0], &bvec[1][1], &bvec[1][2], &bvec[2][0], &bvec[2][1], &bvec[2][2], | |
1793 | + &eig1_po, &eig2_po, &e0_po)) | |
1794 | + return NULL; | |
1795 | + /* | |
1796 | + convert python list object to array | |
1797 | + */ | |
1798 | + eig1 = (double**)malloc(nk * sizeof(double*)); | |
1799 | + eig1[0] = (double*)malloc(nk * nb * sizeof(double)); | |
1800 | + eig2 = (double**)malloc(nk * sizeof(double*)); | |
1801 | + eig2[0] = (double*)malloc(nk * nb * sizeof(double)); | |
1802 | + wght = (double****)malloc(nk * sizeof(double***)); | |
1803 | + wght[0] = (double***)malloc(nk * nb * sizeof(double**)); | |
1804 | + wght[0][0] = (double**)malloc(nk * nb * nb * sizeof(double*)); | |
1805 | + wght[0][0][0] = (double*)malloc(nk * nb * nb *ne *sizeof(double)); | |
1806 | + for (ik = 0; ik < nk; ik++) { | |
1807 | + eig1[ik] = eig1[0] + ik * nb; | |
1808 | + eig2[ik] = eig2[0] + ik * nb; | |
1809 | + wght[ik] = wght[0] + ik * nb; | |
1810 | + for (ib = 0; ib < nb; ib++) { | |
1811 | + wght[ik][ib] = wght[0][0] + ik * nb * nb + ib * nb; | |
1812 | + for (jb = 0; jb < nb; jb++) { | |
1813 | + wght[ik][ib][jb] = wght[0][0][0] | |
1814 | + + ik * nb * nb * ne + ib * nb * ne + jb * ne; | |
1815 | + } | |
1816 | + } | |
1817 | + } | |
1818 | + e0 = (double*)malloc(ne * sizeof(double)); | |
1819 | + | |
1820 | + for (ik = 0; ik < nk; ik++) | |
1821 | + for (ib = 0; ib < nb; ib++) { | |
1822 | + eig1[ik][ib] = PyFloat_AsDouble(PyList_GetItem(eig1_po, ik * nb + ib)); | |
1823 | + eig2[ik][ib] = PyFloat_AsDouble(PyList_GetItem(eig2_po, ik * nb + ib)); | |
1824 | + } | |
1825 | + for (ie = 0; ie < ne; ie++)e0[ie] = PyFloat_AsDouble(PyList_GetItem(e0_po, ie)); | |
1826 | + /* | |
1827 | + Start main calculation | |
1828 | + */ | |
1829 | + ikv = (int**)malloc(6 * nk * sizeof(int*)); | |
1830 | + ikv[0] = (int*)malloc(6 * nk * 20 * sizeof(int)); | |
1831 | + for (it = 0; it < 6 * nk; it++) { | |
1832 | + ikv[it] = ikv[0] + it * 20; | |
1833 | + } | |
1834 | + | |
1835 | + ei1 = (double**)malloc(4 * sizeof(double*)); | |
1836 | + ej1 = (double**)malloc(4 * sizeof(double*)); | |
1837 | + ei1[0] = (double*)malloc(4 * nb * sizeof(double)); | |
1838 | + ej1[0] = (double*)malloc(4 * nb * sizeof(double)); | |
1839 | + for (i4 = 0; i4 < 4; i4++) { | |
1840 | + ei1[i4] = ei1[0] + i4 * nb; | |
1841 | + ej1[i4] = ej1[0] + i4 * nb; | |
1842 | + } | |
1843 | + | |
1844 | + ej2 = (double**)malloc(nb * sizeof(double*)); | |
1845 | + ej2[0] = (double*)malloc(nb * 4 * sizeof(double)); | |
1846 | + for (ib = 0; ib < nb; ib++) | |
1847 | + ej2[ib] = ej2[0] + ib * 4; | |
1848 | + | |
1849 | + w1 = (double****)malloc(nb * sizeof(double***)); | |
1850 | + w1[0] = (double***)malloc(nb * 4 * sizeof(double**)); | |
1851 | + w1[0][0] = (double**)malloc(nb * 4 * nb * sizeof(double*)); | |
1852 | + w1[0][0][0] = (double*)malloc(nb * 4 * nb * ne * sizeof(double)); | |
1853 | + for (ib = 0; ib < nb; ib++) { | |
1854 | + w1[ib] = w1[0] + ib * 4; | |
1855 | + for (i4 = 0; i4 < 4; i4++) { | |
1856 | + w1[ib][i4] = w1[0][0] + ib * 4 * nb + i4 * nb; | |
1857 | + for (jb = 0; jb < nb; jb++) { | |
1858 | + w1[ib][i4][jb] = w1[0][0][0] + ib * 4 * nb * ne + i4 * nb * ne + jb * ne; | |
1859 | + } | |
1860 | + } | |
1861 | + } | |
1862 | + | |
1863 | + w2 = (double***)malloc(nb * sizeof(double**)); | |
1864 | + w2[0] = (double**)malloc(nb * 4 * sizeof(double*)); | |
1865 | + w2[0][0] = (double*)malloc(nb * 4 * ne * sizeof(double)); | |
1866 | + for (ib = 0; ib < nb; ib++) { | |
1867 | + w2[ib] = w2[0] + ib * 4; | |
1868 | + for (i4 = 0; i4 < 4; i4++) { | |
1869 | + w2[ib][i4] = w2[0][0] + ib * 4 * ne + i4 * ne; | |
1870 | + } | |
1871 | + } | |
1872 | + | |
1873 | + libtetrabz_initialize(ng, bvec, wlsm, ikv); | |
1874 | + | |
1875 | + for (ik = 0; ik < nk; ik++) | |
1876 | + for (ib = 0; ib < nb; ib++) | |
1877 | + for (jb = 0; jb < nb; jb++) | |
1878 | + for (ie = 0; ie < ne; ie++) | |
1879 | + wght[ik][ib][jb][ie] = 0.0; | |
1880 | + | |
1881 | + thr = 1.0e-10; | |
1882 | + | |
1883 | + for (it = 0; it < 6*nk; it++) { | |
1884 | + | |
1885 | + for (i4 = 0; i4 < 4; i4++) | |
1886 | + for (ib = 0; ib < nb; ib++) { | |
1887 | + ei1[i4][ib] = 0.0; | |
1888 | + ej1[i4][ib] = 0.0; | |
1889 | + } | |
1890 | + for (i20 = 0; i20 < 20; i20++) { | |
1891 | + for (i4 = 0; i4 < 4; i4++) { | |
1892 | + for (ib = 0; ib < nb; ib++) { | |
1893 | + ei1[i4][ib] += eig1[ikv[it][i20]][ib] * wlsm[i20][i4]; | |
1894 | + ej1[i4][ib] += eig2[ikv[it][i20]][ib] * wlsm[i20][i4]; | |
1895 | + } | |
1896 | + } | |
1897 | + } | |
1898 | + | |
1899 | + for (ib = 0; ib < nb; ib++) { | |
1900 | + | |
1901 | + for (i4 = 0; i4 < 4; i4++) | |
1902 | + for (jb = 0; jb < nb; jb++) | |
1903 | + for (ie = 0; ie < ne; ie++) | |
1904 | + w1[ib][i4][jb][ie] = 0.0; | |
1905 | + | |
1906 | + for (i4 = 0; i4 < 4; i4++) e[i4] = ei1[i4][ib]; | |
1907 | + eig_sort(4, e, indx); | |
1908 | + | |
1909 | + if (e[0] <= 0.0 && 0.0 < e[1]) { | |
1910 | + | |
1911 | + libtetrabz_tsmall_a1(e, 0.0, &v, tsmall); | |
1912 | + | |
1913 | + if (v > thr) { | |
1914 | + for (j4 = 0; j4 < 4; j4++) { | |
1915 | + ei2[j4] = 0.0; | |
1916 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
1917 | + } | |
1918 | + for (i4 = 0; i4 < 4; i4++) | |
1919 | + for (j4 = 0; j4 < 4; j4++) { | |
1920 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
1921 | + for (jb = 0; jb < nb; jb++) | |
1922 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
1923 | + } | |
1924 | + libtetrabz_fermigr2(nb, ne, e0, ei2, ej2, w2); | |
1925 | + for (i4 = 0; i4 < 4; i4++) | |
1926 | + for (jb = 0; jb < nb; jb++) | |
1927 | + for (j4 = 0; j4 < 4; j4++) | |
1928 | + for (ie = 0; ie < ne; ie++) | |
1929 | + w1[ib][indx[i4]][jb][ie] += v * tsmall[i4][j4] * w2[jb][j4][ie]; | |
1930 | + } | |
1931 | + } | |
1932 | + else if (e[1] <= 0.0 && 0.0 < e[2]) { | |
1933 | + | |
1934 | + libtetrabz_tsmall_b1(e, 0.0, &v, tsmall); | |
1935 | + | |
1936 | + if (v > thr) { | |
1937 | + for (j4 = 0; j4 < 4; j4++) { | |
1938 | + ei2[j4] = 0.0; | |
1939 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
1940 | + } | |
1941 | + for (i4 = 0; i4 < 4; i4++) | |
1942 | + for (j4 = 0; j4 < 4; j4++) { | |
1943 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
1944 | + for (jb = 0; jb < nb; jb++) | |
1945 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
1946 | + } | |
1947 | + libtetrabz_fermigr2(nb, ne, e0, ei2, ej2, w2); | |
1948 | + for (i4 = 0; i4 < 4; i4++) | |
1949 | + for (jb = 0; jb < nb; jb++) | |
1950 | + for (j4 = 0; j4 < 4; j4++) | |
1951 | + for (ie = 0; ie < ne; ie++) | |
1952 | + w1[ib][indx[i4]][jb][ie] += v * tsmall[i4][j4] * w2[jb][j4][ie]; | |
1953 | + } | |
1954 | + | |
1955 | + libtetrabz_tsmall_b2(e, 0.0, &v, tsmall); | |
1956 | + | |
1957 | + if (v > thr) { | |
1958 | + for (j4 = 0; j4 < 4; j4++) { | |
1959 | + ei2[j4] = 0.0; | |
1960 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
1961 | + } | |
1962 | + for (i4 = 0; i4 < 4; i4++) | |
1963 | + for (j4 = 0; j4 < 4; j4++) { | |
1964 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
1965 | + for (jb = 0; jb < nb; jb++) | |
1966 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
1967 | + } | |
1968 | + libtetrabz_fermigr2(nb, ne, e0, ei2, ej2, w2); | |
1969 | + for (i4 = 0; i4 < 4; i4++) | |
1970 | + for (jb = 0; jb < nb; jb++) | |
1971 | + for (j4 = 0; j4 < 4; j4++) | |
1972 | + for (ie = 0; ie < ne; ie++) | |
1973 | + w1[ib][indx[i4]][jb][ie] += v * tsmall[i4][j4] * w2[jb][j4][ie]; | |
1974 | + } | |
1975 | + | |
1976 | + libtetrabz_tsmall_b3(e, 0.0, &v, tsmall); | |
1977 | + | |
1978 | + if (v > thr) { | |
1979 | + for (j4 = 0; j4 < 4; j4++) { | |
1980 | + ei2[j4] = 0.0; | |
1981 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
1982 | + } | |
1983 | + for (i4 = 0; i4 < 4; i4++) | |
1984 | + for (j4 = 0; j4 < 4; j4++) { | |
1985 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
1986 | + for (jb = 0; jb < nb; jb++) | |
1987 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
1988 | + } | |
1989 | + libtetrabz_fermigr2(nb, ne, e0, ei2, ej2, w2); | |
1990 | + for (i4 = 0; i4 < 4; i4++) | |
1991 | + for (jb = 0; jb < nb; jb++) | |
1992 | + for (j4 = 0; j4 < 4; j4++) | |
1993 | + for (ie = 0; ie < ne; ie++) | |
1994 | + w1[ib][indx[i4]][jb][ie] += v * tsmall[i4][j4] * w2[jb][j4][ie]; | |
1995 | + } | |
1996 | + } | |
1997 | + else if (e[2] <= 0.0 && 0.0 < e[3]) { | |
1998 | + | |
1999 | + libtetrabz_tsmall_c1(e, 0.0, &v, tsmall); | |
2000 | + | |
2001 | + if (v > thr) { | |
2002 | + for (j4 = 0; j4 < 4; j4++) { | |
2003 | + ei2[j4] = 0.0; | |
2004 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
2005 | + } | |
2006 | + for (i4 = 0; i4 < 4; i4++) | |
2007 | + for (j4 = 0; j4 < 4; j4++) { | |
2008 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
2009 | + for (jb = 0; jb < nb; jb++) | |
2010 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
2011 | + } | |
2012 | + libtetrabz_fermigr2(nb, ne, e0, ei2, ej2, w2); | |
2013 | + for (i4 = 0; i4 < 4; i4++) | |
2014 | + for (jb = 0; jb < nb; jb++) | |
2015 | + for (j4 = 0; j4 < 4; j4++) | |
2016 | + for (ie = 0; ie < ne; ie++) | |
2017 | + w1[ib][indx[i4]][jb][ie] += v * tsmall[i4][j4] * w2[jb][j4][ie]; | |
2018 | + } | |
2019 | + | |
2020 | + libtetrabz_tsmall_c2(e, 0.0, &v, tsmall); | |
2021 | + | |
2022 | + if (v > thr) { | |
2023 | + for (j4 = 0; j4 < 4; j4++) { | |
2024 | + ei2[j4] = 0.0; | |
2025 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
2026 | + } | |
2027 | + for (i4 = 0; i4 < 4; i4++) | |
2028 | + for (j4 = 0; j4 < 4; j4++) { | |
2029 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
2030 | + for (jb = 0; jb < nb; jb++) | |
2031 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
2032 | + } | |
2033 | + libtetrabz_fermigr2(nb, ne, e0, ei2, ej2, w2); | |
2034 | + for (i4 = 0; i4 < 4; i4++) | |
2035 | + for (jb = 0; jb < nb; jb++) | |
2036 | + for (j4 = 0; j4 < 4; j4++) | |
2037 | + for (ie = 0; ie < ne; ie++) | |
2038 | + w1[ib][indx[i4]][jb][ie] += v * tsmall[i4][j4] * w2[jb][j4][ie]; | |
2039 | + } | |
2040 | + | |
2041 | + libtetrabz_tsmall_c3(e, 0.0, &v, tsmall); | |
2042 | + | |
2043 | + if (v > thr) { | |
2044 | + for (j4 = 0; j4 < 4; j4++) { | |
2045 | + ei2[j4] = 0.0; | |
2046 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
2047 | + } | |
2048 | + for (i4 = 0; i4 < 4; i4++) | |
2049 | + for (j4 = 0; j4 < 4; j4++) { | |
2050 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
2051 | + for (jb = 0; jb < nb; jb++) | |
2052 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
2053 | + } | |
2054 | + libtetrabz_fermigr2(nb, ne, e0, ei2, ej2, w2); | |
2055 | + for (i4 = 0; i4 < 4; i4++) | |
2056 | + for (jb = 0; jb < nb; jb++) | |
2057 | + for (j4 = 0; j4 < 4; j4++) | |
2058 | + for (ie = 0; ie < ne; ie++) | |
2059 | + w1[ib][indx[i4]][jb][ie] += v * tsmall[i4][j4] * w2[jb][j4][ie]; | |
2060 | + } | |
2061 | + } | |
2062 | + else if (e[3] <= 0.0) { | |
2063 | + for (i4 = 0; i4 < 4; i4++) { | |
2064 | + ei2[i4] = ei1[i4][ib]; | |
2065 | + for (jb = 0; jb < nb; jb++) | |
2066 | + ej2[jb][i4] = ej1[i4][jb]; | |
2067 | + } | |
2068 | + libtetrabz_fermigr2(nb, ne, e0, ei2, ej2, w2); | |
2069 | + for (i4 = 0; i4 < 4; i4++) | |
2070 | + for (jb = 0; jb < nb; jb++) | |
2071 | + for (ie = 0; ie < ne; ie++) | |
2072 | + w1[ib][i4][jb][ie] += w2[jb][i4][ie]; | |
2073 | + } | |
2074 | + else { | |
2075 | + continue; | |
2076 | + } | |
2077 | + } | |
2078 | + for (i20 = 0; i20 < 20; i20++) | |
2079 | + for (ib = 0; ib < nb; ib++) | |
2080 | + for (i4 = 0; i4 < 4; i4++) | |
2081 | + for (jb = 0; jb < nb; jb++) | |
2082 | + for (ie = 0; ie < ne; ie++) | |
2083 | + wght[ikv[it][i20]][ib][jb][ie] += wlsm[i20][i4] * w1[ib][i4][jb][ie]; | |
2084 | + } | |
2085 | + for (ik = 0; ik < nk; ik++) | |
2086 | + for (ib = 0; ib < nb; ib++) | |
2087 | + for (jb = 0; jb < nb; jb++) | |
2088 | + for (ie = 0; ie < ne; ie++) | |
2089 | + wght[ik][ib][jb][ie] /= (6.0 * (double) nk); | |
2090 | + | |
2091 | + free(ikv[0]); | |
2092 | + free(ikv); | |
2093 | + free(ei1[0]); | |
2094 | + free(ei1); | |
2095 | + free(ej1[0]); | |
2096 | + free(ej1); | |
2097 | + free(ej2[0]); | |
2098 | + free(ej2); | |
2099 | + free(w1[0][0][0]); | |
2100 | + free(w1[0][0]); | |
2101 | + free(w1[0]); | |
2102 | + free(w1); | |
2103 | + free(w2[0][0]); | |
2104 | + free(w2[0]); | |
2105 | + free(w2); | |
2106 | + /* | |
2107 | + Convert weight to python list object | |
2108 | + */ | |
2109 | + wght_po = PyList_New(nk * nb * nb * ne); | |
2110 | + ierr = 0; | |
2111 | + for (ik = 0; ik < nk; ik++) | |
2112 | + for (ib = 0; ib < nb; ib++) | |
2113 | + for (jb = 0; jb < nb; jb++) | |
2114 | + for (ie = 0; ie < ne; ie++) | |
2115 | + ierr = PyList_SetItem(wght_po, ik * nb * nb * ne + ib * nb * ne + jb * ne + ie, | |
2116 | + PyFloat_FromDouble(wght[ik][ib][jb][ie])); | |
2117 | + if (ierr != 0)printf("Error in PyList_SetItem\n"); | |
2118 | + | |
2119 | + free(eig1[0]); | |
2120 | + free(eig1); | |
2121 | + free(eig2[0]); | |
2122 | + free(eig2); | |
2123 | + free(wght[0][0][0]); | |
2124 | + free(wght[0][0]); | |
2125 | + free(wght[0]); | |
2126 | + free(wght); | |
2127 | + free(e0); | |
2128 | + | |
2129 | + return wght_po; | |
2130 | +} | |
2131 | +/* | |
2132 | +Main SUBROUTINE for occupation : Theta(EF - E1) | |
2133 | +*/ | |
2134 | +void occ_main( | |
2135 | + int nk, | |
2136 | + int nb, | |
2137 | + double** eig, | |
2138 | + int **ikv, | |
2139 | + double wlsm[20][4], | |
2140 | + double **ei1, | |
2141 | + double **w1, | |
2142 | + double **wght | |
2143 | +) { | |
2144 | + int it, ik, ib, ii, jj, indx[4]; | |
2145 | + double e[4], v, tsmall[4][4]; | |
2146 | + | |
2147 | + for (ik = 0; ik < nk; ik++) | |
2148 | + for (ib = 0; ib < nb; ib++) | |
2149 | + wght[ik][ib] = 0.0; | |
2150 | + | |
2151 | + for (it = 0; it < 6 * nk; it++) { | |
2152 | + | |
2153 | + for (ii = 0; ii < 4; ii++) | |
2154 | + for (ib = 0; ib < nb; ib++) | |
2155 | + ei1[ii][ib] = 0.0; | |
2156 | + for (jj = 0; jj < 20; jj++) | |
2157 | + for (ii = 0; ii < 4; ii++) | |
2158 | + for (ib = 0; ib < nb; ib++) | |
2159 | + ei1[ii][ib] += eig[ikv[it][jj]][ib] * wlsm[jj][ii]; | |
2160 | + | |
2161 | + for (ib = 0; ib < nb; ib++) { | |
2162 | + | |
2163 | + for (ii = 0; ii < 4; ii++) | |
2164 | + w1[ib][ii] = 0.0; | |
2165 | + | |
2166 | + for (ii = 0; ii < 4; ii++) e[ii] = ei1[ii][ib]; | |
2167 | + eig_sort(4, e, indx); | |
2168 | + | |
2169 | + if (e[0] <= 0.0 && 0.0 < e[1]) { | |
2170 | + libtetrabz_tsmall_a1(e, 0.0, &v, tsmall); | |
2171 | + for (ii = 0; ii < 4; ii++) | |
2172 | + for (jj = 0; jj < 4; jj++) | |
2173 | + w1[ib][indx[ii]] += v * tsmall[ii][jj] * 0.25; | |
2174 | + } | |
2175 | + else if (e[1] <= 0.0 && 0.0 < e[2]) { | |
2176 | + | |
2177 | + libtetrabz_tsmall_b1(e, 0.0, &v, tsmall); | |
2178 | + for (ii = 0; ii < 4; ii++) | |
2179 | + for (jj = 0; jj < 4; jj++) | |
2180 | + w1[ib][indx[ii]] += v * tsmall[ii][jj] * 0.25; | |
2181 | + | |
2182 | + libtetrabz_tsmall_b2(e, 0.0, &v, tsmall); | |
2183 | + for (ii = 0; ii < 4; ii++) | |
2184 | + for (jj = 0; jj < 4; jj++) | |
2185 | + w1[ib][indx[ii]] += v * tsmall[ii][jj] * 0.25; | |
2186 | + | |
2187 | + libtetrabz_tsmall_b3(e, 0.0, &v, tsmall); | |
2188 | + for (ii = 0; ii < 4; ii++) | |
2189 | + for (jj = 0; jj < 4; jj++) | |
2190 | + w1[ib][indx[ii]] += v * tsmall[ii][jj] * 0.25; | |
2191 | + } | |
2192 | + else if (e[2] <= 0.0 && 0.0 < e[3]) { | |
2193 | + | |
2194 | + libtetrabz_tsmall_c1(e, 0.0, &v, tsmall); | |
2195 | + for (ii = 0; ii < 4; ii++) | |
2196 | + for (jj = 0; jj < 4; jj++) | |
2197 | + w1[ib][indx[ii]] += v * tsmall[ii][jj] * 0.25; | |
2198 | + | |
2199 | + libtetrabz_tsmall_c2(e, 0.0, &v, tsmall); | |
2200 | + for (ii = 0; ii < 4; ii++) | |
2201 | + for (jj = 0; jj < 4; jj++) | |
2202 | + w1[ib][indx[ii]] += v * tsmall[ii][jj] * 0.25; | |
2203 | + | |
2204 | + libtetrabz_tsmall_c3(e, 0.0, &v, tsmall); | |
2205 | + for (ii = 0; ii < 4; ii++) | |
2206 | + for (jj = 0; jj < 4; jj++) | |
2207 | + w1[ib][indx[ii]] += v * tsmall[ii][jj] * 0.25; | |
2208 | + } | |
2209 | + else if (e[3] <= 0.0) { | |
2210 | + for (ii = 0; ii < 4; ii++) | |
2211 | + w1[ib][ii] += 0.25; | |
2212 | + } | |
2213 | + else { | |
2214 | + continue; | |
2215 | + } | |
2216 | + } | |
2217 | + for (ii = 0; ii < 20; ii++) | |
2218 | + for (ib = 0; ib < nb; ib++) | |
2219 | + for (jj = 0; jj < 4; jj++) { | |
2220 | + wght[ikv[it][ii]][ib] += wlsm[ii][jj] * w1[ib][jj]; | |
2221 | + } | |
2222 | + } | |
2223 | + for (ik = 0; ik < nk; ik++) | |
2224 | + for (ib = 0; ib < nb; ib++) | |
2225 | + wght[ik][ib] /= (6.0 * (double)nk); | |
2226 | +} | |
2227 | +/* | |
2228 | + | |
2229 | +*/ | |
2230 | +static PyObject* occ_c(PyObject* self, PyObject* args) | |
2231 | +{ | |
2232 | + int ik, ib, ii, nk, nb, ng[3], ierr, ** ikv; | |
2233 | + double** eig, ** wght, bvec[3][3], wlsm[20][4], **ei1, **w1; | |
2234 | + PyObject* eig_po, * wght_po; | |
2235 | + /* | |
2236 | + Read input from python object | |
2237 | + */ | |
2238 | + if (!PyArg_ParseTuple(args, "iiiiidddddddddO", | |
2239 | + &ng[0], &ng[1], &ng[2], &nk, &nb, | |
2240 | + &bvec[0][0], &bvec[0][1], &bvec[0][2], &bvec[1][0], &bvec[1][1], &bvec[1][2], &bvec[2][0], &bvec[2][1], &bvec[2][2], | |
2241 | + &eig_po)) | |
2242 | + return NULL; | |
2243 | + /* | |
2244 | + convert python list object to array | |
2245 | + */ | |
2246 | + eig = (double**)malloc(nk * sizeof(double*)); | |
2247 | + eig[0] = (double*)malloc(nk * nb * sizeof(double)); | |
2248 | + wght = (double**)malloc(nk * sizeof(double*)); | |
2249 | + wght[0] = (double*)malloc(nk * nb * sizeof(double)); | |
2250 | + for (ik = 0; ik < nk; ik++) { | |
2251 | + eig[ik] = eig[0] + ik * nb; | |
2252 | + wght[ik] = wght[0] + ik * nb; | |
2253 | + } | |
2254 | + | |
2255 | + for (ik = 0; ik < nk; ik++) | |
2256 | + for (ib = 0; ib < nb; ib++) | |
2257 | + eig[ik][ib] = PyFloat_AsDouble(PyList_GetItem(eig_po, ik * nb + ib)); | |
2258 | + | |
2259 | + /* | |
2260 | + Start main calculation | |
2261 | + */ | |
2262 | + ikv = (int**)malloc(6 * nk * sizeof(int*)); | |
2263 | + ikv[0] = (int*)malloc(6 * nk * 20 * sizeof(int)); | |
2264 | + for (ik = 0; ik < 6 * nk; ik++) { | |
2265 | + ikv[ik] = ikv[0] + ik * 20; | |
2266 | + } | |
2267 | + ei1 = (double**)malloc(4 * sizeof(double*)); | |
2268 | + ei1[0] = (double*)malloc(4 * nb * sizeof(double)); | |
2269 | + for (ii = 0; ii < 4; ii++) { | |
2270 | + ei1[ii] = ei1[0] + ii * nb; | |
2271 | + } | |
2272 | + | |
2273 | + w1 = (double**)malloc(nb * sizeof(double*)); | |
2274 | + w1[0] = (double*)malloc(nb * 4 * sizeof(double)); | |
2275 | + for (ib = 0; ib < nb; ib++) { | |
2276 | + w1[ib] = w1[0] + ib * 4; | |
2277 | + } | |
2278 | + | |
2279 | + libtetrabz_initialize(ng, bvec, wlsm, ikv); | |
2280 | + | |
2281 | + occ_main(nk, nb, eig, ikv, wlsm, ei1, w1, wght); | |
2282 | + | |
2283 | + free(ikv[0]); | |
2284 | + free(ikv); | |
2285 | + free(ei1[0]); | |
2286 | + free(ei1); | |
2287 | + free(w1[0]); | |
2288 | + free(w1); | |
2289 | + /* | |
2290 | + Convert weight to python list object | |
2291 | + */ | |
2292 | + wght_po = PyList_New(nk * nb); | |
2293 | + ierr = 0; | |
2294 | + for (ik = 0; ik < nk; ik++) | |
2295 | + for (ib = 0; ib < nb; ib++) | |
2296 | + ierr = PyList_SetItem(wght_po, ik * nb + ib, PyFloat_FromDouble(wght[ik][ib])); | |
2297 | + if (ierr != 0)printf("Error in PyList_SetItem\n"); | |
2298 | + | |
2299 | + free(eig[0]); | |
2300 | + free(eig); | |
2301 | + free(wght[0]); | |
2302 | + free(wght); | |
2303 | + return wght_po; | |
2304 | +} | |
2305 | +/* | |
2306 | +Calculate Fermi energy | |
2307 | +*/ | |
2308 | +static PyObject* fermieng_c(PyObject* self, PyObject* args) | |
2309 | +{ | |
2310 | + int maxiter, ik, ib, iteration, nk, nb, ng[3], | |
2311 | + **ikv, ii, ierr; | |
2312 | + double eps, elw, eup, **eig2, sumkmid, bvec[3][3], | |
2313 | + **eig, **wght, wlsm[20][4], **ei1, **w1, nelec, ef; | |
2314 | + PyObject* eig_po, * wght_po; | |
2315 | + /* | |
2316 | + Read input from python object | |
2317 | + */ | |
2318 | + if (!PyArg_ParseTuple(args, "iiiiidddddddddOd", | |
2319 | + &ng[0], &ng[1], &ng[2], &nk, &nb, | |
2320 | + &bvec[0][0], &bvec[0][1], &bvec[0][2], &bvec[1][0], &bvec[1][1], &bvec[1][2], &bvec[2][0], &bvec[2][1], &bvec[2][2], | |
2321 | + &eig_po, &nelec)) | |
2322 | + return NULL; | |
2323 | + /* | |
2324 | + convert python list object to array | |
2325 | + */ | |
2326 | + eig = (double**)malloc(nk * sizeof(double*)); | |
2327 | + eig[0] = (double*)malloc(nk * nb * sizeof(double)); | |
2328 | + wght = (double**)malloc(nk * sizeof(double*)); | |
2329 | + wght[0] = (double*)malloc(nk * nb * sizeof(double)); | |
2330 | + for (ik = 0; ik < nk; ik++) { | |
2331 | + eig[ik] = eig[0] + ik * nb; | |
2332 | + wght[ik] = wght[0] + ik * nb; | |
2333 | + } | |
2334 | + | |
2335 | + for (ik = 0; ik < nk; ik++) | |
2336 | + for (ib = 0; ib < nb; ib++) | |
2337 | + eig[ik][ib] = PyFloat_AsDouble(PyList_GetItem(eig_po, ik * nb + ib)); | |
2338 | + | |
2339 | + /* | |
2340 | + Start main calculation | |
2341 | + */ | |
2342 | + ikv = (int**)malloc(6 * nk * sizeof(int*)); | |
2343 | + ikv[0] = (int*)malloc(6 * nk * 20 * sizeof(int)); | |
2344 | + for (ik = 0; ik < 6 * nk; ik++) { | |
2345 | + ikv[ik] = ikv[0] + ik * 20; | |
2346 | + } | |
2347 | + ei1 = (double**)malloc(4 * sizeof(double*)); | |
2348 | + ei1[0] = (double*)malloc(4 * nb * sizeof(double)); | |
2349 | + for (ii = 0; ii < 4; ii++) { | |
2350 | + ei1[ii] = ei1[0] + ii * nb; | |
2351 | + } | |
2352 | + | |
2353 | + w1 = (double**)malloc(nb * sizeof(double*)); | |
2354 | + w1[0] = (double*)malloc(nb * 4 * sizeof(double)); | |
2355 | + for (ib = 0; ib < nb; ib++) { | |
2356 | + w1[ib] = w1[0] + ib * 4; | |
2357 | + } | |
2358 | + | |
2359 | + libtetrabz_initialize(ng, bvec, wlsm, ikv); | |
2360 | + | |
2361 | + eig2 = (double**)malloc(nk * sizeof(double*)); | |
2362 | + eig2[0] = (double*)malloc(nk * nb * sizeof(double)); | |
2363 | + for (ik = 0; ik < nk; ik++) { | |
2364 | + eig2[ik] = eig2[0] + ik * nb; | |
2365 | + } | |
2366 | + | |
2367 | + maxiter = 300; | |
2368 | + eps = 1.0e-10; | |
2369 | + | |
2370 | + elw = eig[0][0]; | |
2371 | + eup = eig[0][0]; | |
2372 | + for (ik = 0; ik < nk; ik++) { | |
2373 | + for (ib = 0; ib < nb; ib++) { | |
2374 | + if (elw > eig[ik][ib]) elw = eig[ik][ib]; | |
2375 | + if (eup < eig[ik][ib]) eup = eig[ik][ib]; | |
2376 | + } | |
2377 | + } | |
2378 | + /* | |
2379 | + Bisection method | |
2380 | + */ | |
2381 | + for (iteration = 0; iteration < maxiter; iteration++) { | |
2382 | + | |
2383 | + ef = (eup + elw) * 0.5; | |
2384 | + /* | |
2385 | + Calc. # of electrons | |
2386 | + */ | |
2387 | + for (ik = 0; ik < nk; ik++) | |
2388 | + for (ib = 0; ib < nb; ib++) | |
2389 | + eig2[ik][ib] = eig[ik][ib] - ef; | |
2390 | + occ_main(nk, nb, eig2, ikv, wlsm, ei1, w1, wght); | |
2391 | + | |
2392 | + sumkmid = 0.0; | |
2393 | + for (ik = 0; ik < nk; ik++) { | |
2394 | + for (ib = 0; ib < nb; ib++) { | |
2395 | + sumkmid += wght[ik][ib]; | |
2396 | + } | |
2397 | + } | |
2398 | + /* | |
2399 | + convergence check | |
2400 | + */ | |
2401 | + if (fabs(sumkmid - nelec) < eps) { | |
2402 | + break; | |
2403 | + } | |
2404 | + else if (sumkmid < nelec) | |
2405 | + elw = ef; | |
2406 | + else | |
2407 | + eup = ef; | |
2408 | + } | |
2409 | + free(eig2); | |
2410 | + free(ikv[0]); | |
2411 | + free(ikv); | |
2412 | + free(ei1[0]); | |
2413 | + free(ei1); | |
2414 | + free(w1[0]); | |
2415 | + free(w1); | |
2416 | + /* | |
2417 | + Convert weight to python list object | |
2418 | + */ | |
2419 | + wght_po = PyList_New(nk * nb+2); | |
2420 | + ierr = 0; | |
2421 | + for (ik = 0; ik < nk; ik++) | |
2422 | + for (ib = 0; ib < nb; ib++) | |
2423 | + ierr = PyList_SetItem(wght_po, ik * nb + ib, PyFloat_FromDouble(wght[ik][ib])); | |
2424 | + ierr = PyList_SetItem(wght_po, nk*nb, PyFloat_FromDouble(ef)); | |
2425 | + ierr = PyList_SetItem(wght_po, nk * nb+1, PyLong_FromLong((long)iteration)); | |
2426 | + if (ierr != 0)printf("Error in PyList_SetItem\n"); | |
2427 | + | |
2428 | + free(eig[0]); | |
2429 | + free(eig); | |
2430 | + free(wght[0]); | |
2431 | + free(wght); | |
2432 | + return wght_po; | |
2433 | +} | |
2434 | +/* | |
2435 | +Results of Integration (1-x-y-z)/(g0+(g1-g0)x+(g2-g0)y+(g3-g0)) | |
2436 | +for 0<x<1, 0<y<1-x, 0<z<1-x-y | |
2437 | +*/ | |
2438 | +/* | |
2439 | +1, Different each other | |
2440 | +*/ | |
2441 | +static void libtetrabz_polcmplx_1234( | |
2442 | + double g1, | |
2443 | + double g2, | |
2444 | + double g3, | |
2445 | + double g4, | |
2446 | + double* w | |
2447 | +) { | |
2448 | + double w2, w3, w4; | |
2449 | + /* | |
2450 | + Real | |
2451 | + */ | |
2452 | + w2 = 2.0 * (3.0 * g2 * g2 - 1.0) * (atan(g2) - atan(g1)) + | |
2453 | + (g2 * g2 - 3.0) * g2 * log((1.0 + g2 * g2) / (1.0 + g1 * g1)); | |
2454 | + w2 = -2.0 * (g2 * g2 - 1.0) + w2 / (g2 - g1); | |
2455 | + w2 = w2 / (g2 - g1); | |
2456 | + w3 = 2.0 * (3.0 * g3 * g3 - 1.0) * (atan(g3) - atan(g1)) + | |
2457 | + (g3 * g3 - 3.0) * g3 * log((1.0 + g3 * g3) / (1.0 + g1 * g1)); | |
2458 | + w3 = -2.0 * (g3 * g3 - 1.0) + w3 / (g3 - g1); | |
2459 | + w3 = w3 / (g3 - g1); | |
2460 | + w4 = 2.0 * (3.0 * g4 * g4 - 1.0) * (atan(g4) - atan(g1)) + | |
2461 | + (g4 * g4 - 3.0) * g4 * log((1.0 + g4 * g4) / (1.0 + g1 * g1)); | |
2462 | + w4 = -2.0 * (g4 * g4 - 1.0) + w4 / (g4 - g1); | |
2463 | + w4 = w4 / (g4 - g1); | |
2464 | + w2 = (w2 - w3) / (g2 - g3); | |
2465 | + w4 = (w4 - w3) / (g4 - g3); | |
2466 | + w[0] = (w4 - w2) / (2.0 * (g4 - g2)); | |
2467 | + /* | |
2468 | + Imaginal | |
2469 | + */ | |
2470 | + w2 = 2.0 * (3.0 - g2 * g2) * g2 * (atan(g2) - atan(g1)) + | |
2471 | + (3.0 * g2 * g2 - 1.0) * log((1.0 + g2 * g2) / (1.0 + g1 * g1)); | |
2472 | + w2 = 4.0 * g2 - w2 / (g2 - g1); | |
2473 | + w2 = w2 / (g2 - g1); | |
2474 | + w3 = 2.0 * (3.0 - g3 * g3) * g3 * (atan(g3) - atan(g1)) + | |
2475 | + (3.0 * g3 * g3 - 1.0) * log((1.0 + g3 * g3) / (1.0 + g1 * g1)); | |
2476 | + w3 = 4.0 * g3 - w3 / (g3 - g1); | |
2477 | + w3 = w3 / (g3 - g1); | |
2478 | + w4 = 2.0 * (3.0 - g4 * g4) * g4 * (atan(g4) - atan(g1)) + | |
2479 | + (3.0 * g4 * g4 - 1.0) * log((1.0 + g4 * g4) / (1.0 + g1 * g1)); | |
2480 | + w4 = 4.0 * g4 - w4 / (g4 - g1); | |
2481 | + w4 = w4 / (g4 - g1); | |
2482 | + w2 = (w2 - w3) / (g2 - g3); | |
2483 | + w4 = (w4 - w3) / (g4 - g3); | |
2484 | + w[1] = (w4 - w2) / (2.0 * (g4 - g2)); | |
2485 | +} | |
2486 | +/* | |
2487 | +2, g4 = g1 | |
2488 | +*/ | |
2489 | +static void libtetrabz_polcmplx_1231( | |
2490 | + double g1, | |
2491 | + double g2, | |
2492 | + double g3, | |
2493 | + double* w | |
2494 | +) { | |
2495 | + double w2, w3; | |
2496 | + /* | |
2497 | + Real | |
2498 | + */ | |
2499 | + w2 = 2.0 * (-1.0 + 3.0 * g2 * g2) * (atan(g2) - atan(g1)) | |
2500 | + + g2 * (-3.0 + g2 * g2) * log((1.0 + g2 * g2) / (1.0 + g1 * g1)); | |
2501 | + w2 = 2.0 * (1.0 - g2 * g2) + w2 / (g2 - g1); | |
2502 | + w2 = -g1 + w2 / (g2 - g1); | |
2503 | + w2 = w2 / (g2 - g1); | |
2504 | + w3 = 2.0 * (-1.0 + 3.0 * g3 * g3) * (atan(g3) - atan(g1)) | |
2505 | + + g3 * (-3.0 + g3 * g3) * log((1.0 + g3 * g3) / (1.0 + g1 * g1)); | |
2506 | + w3 = 2.0 * (1 - g3 * g3) + w3 / (g3 - g1); | |
2507 | + w3 = -g1 + w3 / (g3 - g1); | |
2508 | + w3 = w3 / (g3 - g1); | |
2509 | + w[0] = (w3 - w2) / (2.0 * (g3 - g2)); | |
2510 | + /* | |
2511 | + Imaginal | |
2512 | + */ | |
2513 | + w2 = 2.0 * g2 * (3.0 - g2 * g2) * (atan(g2) - atan(g1)) + | |
2514 | + (-1.0 + 3.0 * g2 * g2) * log((1.0 + g2 * g2) / (1.0 + g1 * g1)); | |
2515 | + w2 = 4.0 * g2 - w2 / (g2 - g1); | |
2516 | + w2 = 1 + w2 / (g2 - g1); | |
2517 | + w2 = w2 / (g2 - g1); | |
2518 | + w3 = 2.0 * g3 * (3.0 - g3 * g3) * (atan(g3) - atan(g1)) + | |
2519 | + (-1.0 + 3.0 * g3 * g3) * log((1.0 + g3 * g3) / (1.0 + g1 * g1)); | |
2520 | + w3 = 4.0 * g3 - w3 / (g3 - g1); | |
2521 | + w3 = 1 + w3 / (g3 - g1); | |
2522 | + w3 = w3 / (g3 - g1); | |
2523 | + w[1] = (w3 - w2) / (2.0 * (g3 - g2)); | |
2524 | +} | |
2525 | +/* | |
2526 | +3, g4 = g3 | |
2527 | +*/ | |
2528 | +static void libtetrabz_polcmplx_1233( | |
2529 | + double g1, | |
2530 | + double g2, | |
2531 | + double g3, | |
2532 | + double* w | |
2533 | +) { | |
2534 | + double w2, w3; | |
2535 | + /* | |
2536 | + Real | |
2537 | + */ | |
2538 | + w2 = 2.0 * (1.0 - 3.0 * g2 * g2) * (atan(g2) - atan(g1)) + | |
2539 | + g2 * (3.0 - g2 * g2) * log((1.0 + g2 * g2) / (1.0 + g1 * g1)); | |
2540 | + w2 = 2.0 * (1 - g2 * g2) - w2 / (g2 - g1); | |
2541 | + w2 = w2 / (g2 - g1); | |
2542 | + w3 = 2.0 * (1.0 - 3.0 * g3 * g3) * (atan(g3) - atan(g1)) + | |
2543 | + g3 * (3.0 - g3 * g3) * log((1.0 + g3 * g3) / (1.0 + g1 * g1)); | |
2544 | + w3 = 2.0 * (1 - g3 * g3) - w3 / (g3 - g1); | |
2545 | + w3 = w3 / (g3 - g1); | |
2546 | + w2 = (w3 - w2) / (g3 - g2); | |
2547 | + w3 = 4.0 * (1.0 - 3.0 * g1 * g3) * (atan(g3) - atan(g1)) | |
2548 | + + (3.0 * g1 + 3.0 * g3 - 3.0 * g1 * g3 * g3 + g3 * g3 * g3) * log((1.0 + g3 * g3) / (1.0 + g1 * g1)); | |
2549 | + w3 = -4.0 * (1.0 - g1 * g1) + w3 / (g3 - g1); | |
2550 | + w3 = 4.0 * g1 + w3 / (g3 - g1); | |
2551 | + w3 = w3 / (g3 - g1); | |
2552 | + w[0] = (w3 - w2) / (2.0 * (g3 - g2)); | |
2553 | + /* | |
2554 | + Imaginal | |
2555 | + */ | |
2556 | + w2 = 2.0 * g2 * (3.0 - g2 * g2) * (atan(g2) - atan(g1)) + | |
2557 | + (-1.0 + 3.0 * g2 * g2) * log((1.0 + g2 * g2) / (1.0 + g1 * g1)); | |
2558 | + w2 = 4.0 * g2 - w2 / (g2 - g1); | |
2559 | + w2 = w2 / (g2 - g1); | |
2560 | + w3 = 2.0 * g3 * (3.0 - g3 * g3) * (atan(g3) - atan(g1)) + | |
2561 | + (-1.0 + 3.0 * g3 * g3) * log((1.0 + g3 * g3) / (1.0 + g1 * g1)); | |
2562 | + w3 = 4.0 * g3 - w3 / (g3 - g1); | |
2563 | + w3 = w3 / (g3 - g1); | |
2564 | + w2 = (w3 - w2) / (g3 - g2); | |
2565 | + w3 = (3.0 * g1 - 3.0 * g1 * g3 * g3 + 3.0 * g3 + g3 * g3 * g3) * (atan(g3) - atan(g1)) | |
2566 | + + (3.0 * g1 * g3 - 1.0) * log((1.0 + g3 * g3) / (1.0 + g1 * g1)); | |
2567 | + w3 = w3 / (g3 - g1) - 4.0 * g1; | |
2568 | + w3 = w3 / (g3 - g1) - 2.0; | |
2569 | + w3 = (2.0 * w3) / (g3 - g1); | |
2570 | + w[1] = (w3 - w2) / (2.0 * (g3 - g2)); | |
2571 | +} | |
2572 | +/* | |
2573 | +4, g4 = g1 and g3 = g2 | |
2574 | +*/ | |
2575 | +static void libtetrabz_polcmplx_1221( | |
2576 | + double g1, | |
2577 | + double g2, | |
2578 | + double* w | |
2579 | +) { | |
2580 | + /* | |
2581 | + Real | |
2582 | + */ | |
2583 | + w[0] = -2.0 * (-1.0 + 2.0 * g1 * g2 + g2 * g2) * (atan(g2) - atan(g1)) | |
2584 | + + (g1 + 2.0 * g2 - g1 * g2 * g2) * log((1.0 + g2 * g2) / (1.0 + g1 * g1)); | |
2585 | + w[0] = 2.0 * (-1.0 + g1 * g1) + w[0] / (g2 - g1); | |
2586 | + w[0] = 3.0 * g1 + w[0] / (g2 - g1); | |
2587 | + w[0] = 2.0 + (3.0 * w[0]) / (g2 - g1); | |
2588 | + w[0] = w[0] / (2.0 * (g2 - g1)); | |
2589 | + /* | |
2590 | + Imaginal | |
2591 | + */ | |
2592 | + w[1] = 2.0 * (g1 + 2.0 * g2 - g1 * g2 * g2) * (atan(g2) - atan(g1)) | |
2593 | + + (-1.0 + 2.0 * g1 * g2 + g2 * g2) * log((1 + g2 * g2) / (1 + g1 * g1)); | |
2594 | + w[1] = -4.0 * g1 + w[1] / (g2 - g1); | |
2595 | + w[1] = -3.0 + w[1] / (g2 - g1); | |
2596 | + w[1] = (3.0 * w[1]) / (2.0 * (g2 - g1) * (g2 - g1)); | |
2597 | +} | |
2598 | +/* | |
2599 | +5, g4 = g3 = g2 | |
2600 | +*/ | |
2601 | +static void libtetrabz_polcmplx_1222( | |
2602 | + double g1, | |
2603 | + double g2, | |
2604 | + double* w | |
2605 | +) { | |
2606 | + /* | |
2607 | + Real | |
2608 | + */ | |
2609 | + w[0] = 2.0 * (-1.0 + g1 * g1 + 2.0 * g1 * g2) * (atan(g2) - atan(g1)) | |
2610 | + + (-2.0 * g1 - g2 + g1 * g1 * g2) * log((1.0 + g2 * g2) / (1.0 + g1 * g1)); | |
2611 | + w[0] = 2.0 * (1.0 - g1 * g1) + w[0] / (g2 - g1); | |
2612 | + w[0] = g1 - w[0] / (g2 - g1); | |
2613 | + w[0] = 1.0 - (3.0 * w[0]) / (g2 - g1); | |
2614 | + w[0] = w[0] / (2.0 * (g2 - g1)); | |
2615 | + /* | |
2616 | + Imaginal | |
2617 | + */ | |
2618 | + w[1] = 2.0 * (-2.0 * g1 - g2 + g1 * g1 * g2) * (atan(g2) - atan(g1)) | |
2619 | + + (1.0 - g1 * g1 - 2.0 * g1 * g2) * log((1.0 + g2 * g2) / (1.0 + g1 * g1)); | |
2620 | + w[1] = 4.0 * g1 + w[1] / (g2 - g1); | |
2621 | + w[1] = 1.0 + w[1] / (g2 - g1); | |
2622 | + w[1] = (3.0 * w[1]) / (2.0 * (g2 - g1) * (g2 - g1)); | |
2623 | +} | |
2624 | +/* | |
2625 | +6, g4 = g3 = g1 | |
2626 | +*/ | |
2627 | +static void libtetrabz_polcmplx_1211( | |
2628 | + double g1, | |
2629 | + double g2, | |
2630 | + double* w | |
2631 | +) { | |
2632 | + /* | |
2633 | + Real | |
2634 | + */ | |
2635 | + w[0] = 2.0 * (3.0 * g2 * g2 - 1.0) * (atan(g2) - atan(g1)) | |
2636 | + + g2 * (g2 * g2 - 3.0) * log((1.0 + g2 * g2) / (1.0 + g1 * g1)); | |
2637 | + w[0] = 2.0 * (1.0 - g1 * g1) + w[0] / (g2 - g1); | |
2638 | + w[0] = -5.0 * g1 + w[0] / (g2 - g1); | |
2639 | + w[0] = -11.0 + (3.0 * w[0]) / (g2 - g1); | |
2640 | + w[0] = w[0] / (6.0 * (g2 - g1)); | |
2641 | + /* | |
2642 | + Imaginal | |
2643 | + */ | |
2644 | + w[1] = 2.0 * g2 * (-3.0 + g2 * g2) * (atan(g2) - atan(g1)) | |
2645 | + + (1.0 - 3.0 * g2 * g2) * log((1.0 + g2 * g2) / (1.0 + g1 * g1)); | |
2646 | + w[1] = 4.0 * g2 + w[1] / (g2 - g1); | |
2647 | + w[1] = 1.0 + w[1] / (g2 - g1); | |
2648 | + w[1] = w[1] / (2.0 * (g2 - g1) * (g2 - g1)); | |
2649 | +} | |
2650 | +/* | |
2651 | +Tetrahedron method for delta(om - ep + e) | |
2652 | +*/ | |
2653 | +static void libtetrabz_polcmplx3( | |
2654 | + int ne, | |
2655 | + double** e0, | |
2656 | + double de[4], | |
2657 | + double*** w1 | |
2658 | +) { | |
2659 | + int i4, ir, indx[4], ie; | |
2660 | + double e[4], x[4], thr, w2[4][2], denom; | |
2661 | + | |
2662 | + for (i4 = 0; i4 < 3; i4++) e[i4] = de[i4]; | |
2663 | + eig_sort(4, e, indx); | |
2664 | + | |
2665 | + for (ie = 0; ie < ne; ie++) { | |
2666 | + /* | |
2667 | + I am not sure which one is better. | |
2668 | + The former is more stable. | |
2669 | + The latter is more accurate ? | |
2670 | + */ | |
2671 | + for (i4 = 0; i4 < 4; i4++) { | |
2672 | + denom = (de[i4] + e0[ie][0]) * (de[i4] + e0[ie][0]) + e0[ie][1] * e0[ie][1]; | |
2673 | + w1[i4][ie][0] = 0.25 * (de[i4] + e0[ie][0]) / denom; | |
2674 | + w1[i4][ie][1] = 0.25 * (-e0[ie][1]) / denom; | |
2675 | + } | |
2676 | + continue; | |
2677 | + | |
2678 | + for (i4 = 0; i4 < 4; i4++) | |
2679 | + x[i4] = (e[i4] + e0[ie][0]) / e0[ie][1]; | |
2680 | + /* thr = maxval(de(1:4)) * 1d-3*/ | |
2681 | + thr = fabs(x[0]); | |
2682 | + for (i4 = 0; i4 < 4; i4++) | |
2683 | + if (thr < fabs(x[i4])) thr = fabs(x[i4]); | |
2684 | + thr = fmax(1.0e-3, thr * 1.0e-2); | |
2685 | + | |
2686 | + if (fabs(x[3] - x[2]) < thr) { | |
2687 | + if (fabs(x[3] - x[1]) < thr) { | |
2688 | + if (fabs(x[3] - x[0]) < thr) { | |
2689 | + /* | |
2690 | + e[3] = e[2] = e[1] = e[0] | |
2691 | + */ | |
2692 | + w2[3][0] = 0.25 * x[3] / (1.0 + x[3] * x[3]); | |
2693 | + w2[3][1] = 0.25 / (1.0 + x[3] * x[3]); | |
2694 | + for (ir = 0; ir < 2; ir++) { | |
2695 | + w2[2][ir] = w2[3][ir]; | |
2696 | + w2[1][ir] = w2[3][ir]; | |
2697 | + w2[0][ir] = w2[3][ir]; | |
2698 | + } | |
2699 | + } | |
2700 | + else { | |
2701 | + /* | |
2702 | + e[3] = e[2] = e[1] | |
2703 | + */ | |
2704 | + libtetrabz_polcmplx_1211(x[3], x[0], w2[3]); | |
2705 | + for (ir = 0; ir < 2; ir++) { | |
2706 | + w2[2][ir] = w2[3][ir]; | |
2707 | + w2[1][ir] = w2[3][ir]; | |
2708 | + } | |
2709 | + libtetrabz_polcmplx_1222(x[0], x[3], w2[0]); | |
2710 | + /* | |
2711 | + # IF(ANY(w2(1:2,1:4) < 0.0)): | |
2712 | + # WRITE(*,*) ie | |
2713 | + # WRITE(*,'(100e15.5)') x[0:4] | |
2714 | + # WRITE(*,'(2e15.5)') w2(1:2,1:4) | |
2715 | + # STOP "weighting 4=3=2" | |
2716 | + */ | |
2717 | + } | |
2718 | + } | |
2719 | + else if (fabs(x[1] - x[0]) < thr) { | |
2720 | + /* | |
2721 | + e[3] = e[2], e[1] = e[0] | |
2722 | + */ | |
2723 | + libtetrabz_polcmplx_1221(x[3], x[1], w2[3]); | |
2724 | + for (ir = 0; ir < 2; ir++) w2[2][ir] = w2[3][ir]; | |
2725 | + libtetrabz_polcmplx_1221(x[1], x[3], w2[1]); | |
2726 | + for (ir = 0; ir < 2; ir++) w2[0][ir] = w2[1][ir]; | |
2727 | + /* | |
2728 | + IF(ANY(w2(1:2,1:4) < 0.0)): | |
2729 | + WRITE(*,*) ie | |
2730 | + WRITE(*,'(100e15.5)') x[0:4] | |
2731 | + WRITE(*,'(2e15.5)') w2(1:2,1:4) | |
2732 | + STOP "weighting 4=3 2=1" | |
2733 | + */ | |
2734 | + } | |
2735 | + else { | |
2736 | + /* | |
2737 | + e[3] = e[2] | |
2738 | + */ | |
2739 | + libtetrabz_polcmplx_1231(x[3], x[0], x[1], w2[3]); | |
2740 | + for (ir = 0; ir < 2; ir++) w2[2][ir] = w2[3][ir]; | |
2741 | + libtetrabz_polcmplx_1233(x[1], x[0], x[3], w2[1]); | |
2742 | + libtetrabz_polcmplx_1233(x[0], x[1], x[3], w2[0]); | |
2743 | + /* | |
2744 | + IF(ANY(w2(1:2,1:4) < 0.0)): | |
2745 | + WRITE(*,*) ie | |
2746 | + WRITE(*,'(100e15.5)') x[0:4] | |
2747 | + WRITE(*,'(2e15.5)') w2(1:2,1:4) | |
2748 | + STOP "weighting 4=3" | |
2749 | + */ | |
2750 | + } | |
2751 | + } | |
2752 | + else if (fabs(x[2] - x[1]) < thr) { | |
2753 | + if (fabs(x[2] - x[0]) < thr) { | |
2754 | + /* | |
2755 | + e[2] = e[1] = e[0] | |
2756 | + */ | |
2757 | + libtetrabz_polcmplx_1222(x[3], x[2], w2[3]); | |
2758 | + libtetrabz_polcmplx_1211(x[2], x[3], w2[2]); | |
2759 | + for (ir = 0; ir < 2; ir++) w2[1][ir] = w2[2][ir]; | |
2760 | + for (ir = 0; ir < 2; ir++) w2[0][ir] = w2[2][ir]; | |
2761 | + /* | |
2762 | + IF(ANY(w2(1:2,1:4) < 0.0)): | |
2763 | + WRITE(*,*) ie | |
2764 | + WRITE(*,'(100e15.5)') x[0:4] | |
2765 | + WRITE(*,'(2e15.5)') w2(1:2,1:4) | |
2766 | + STOP "weighting 3=2=1" | |
2767 | + */ | |
2768 | + } | |
2769 | + else { | |
2770 | + /* | |
2771 | + e[2] = e[1] | |
2772 | + */ | |
2773 | + libtetrabz_polcmplx_1233(x[3], x[0], x[2], w2[3]); | |
2774 | + libtetrabz_polcmplx_1231(x[2], x[0], x[3], w2[2]); | |
2775 | + for (ir = 0; ir < 2; ir++) w2[1][ir] = w2[2][ir]; | |
2776 | + libtetrabz_polcmplx_1233(x[0], x[3], x[2], w2[0]); | |
2777 | + /* | |
2778 | + IF(ANY(w2(1:2,1:4) < 0.0)): | |
2779 | + WRITE(*,*) ie | |
2780 | + WRITE(*,'(100e15.5)') x[0:4] | |
2781 | + WRITE(*,'(2e15.5)') w2(1:2,1:4) | |
2782 | + STOP "weighting 3=2" | |
2783 | + */ | |
2784 | + } | |
2785 | + } | |
2786 | + else if (fabs(x[1] - x[0]) < thr) { | |
2787 | + /* | |
2788 | + e[1] = e[0] | |
2789 | + */ | |
2790 | + libtetrabz_polcmplx_1233(x[3], x[2], x[1], w2[3]); | |
2791 | + libtetrabz_polcmplx_1233(x[2], x[3], x[1], w2[2]); | |
2792 | + libtetrabz_polcmplx_1231(x[1], x[2], x[3], w2[1]); | |
2793 | + for (ir = 0; ir < 2; ir++) w2[0][ir] = w2[1][ir]; | |
2794 | + /* | |
2795 | + IF(ANY(w2(1:2,1:4) < 0.0)): | |
2796 | + WRITE(*,*) ie | |
2797 | + WRITE(*,'(100e15.5)') x[0:4] | |
2798 | + WRITE(*,'(2e15.5)') w2(1:2,1:4) | |
2799 | + STOP "weighting 2=1" | |
2800 | + */ | |
2801 | + } | |
2802 | + else { | |
2803 | + /* | |
2804 | + Different each other. | |
2805 | + */ | |
2806 | + libtetrabz_polcmplx_1234(x[3], x[0], x[1], x[2], w2[3]); | |
2807 | + libtetrabz_polcmplx_1234(x[2], x[0], x[1], x[3], w2[2]); | |
2808 | + libtetrabz_polcmplx_1234(x[1], x[0], x[2], x[3], w2[1]); | |
2809 | + libtetrabz_polcmplx_1234(x[0], x[1], x[2], x[3], w2[0]); | |
2810 | + /* | |
2811 | + IF(ANY(w2(1:2,1:4) < 0.0)): | |
2812 | + WRITE(*,*) ie | |
2813 | + WRITE(*,'(100e15.5)') x[0:4] | |
2814 | + WRITE(*,'(2e15.5)') w2(1:2,1:4) | |
2815 | + STOP "weighting" | |
2816 | + */ | |
2817 | + } | |
2818 | + for (i4 = 0; i4 < 4; i4++) { | |
2819 | + w1[indx[i4]][ie][0] = w2[i4][0] / e0[ie][1]; | |
2820 | + w1[indx[i4]][ie][1] = w2[i4][1] / (-e0[ie][1]); | |
2821 | + } | |
2822 | + } | |
2823 | +} | |
2824 | +/* | |
2825 | +Tetrahedron method for theta( - E2) | |
2826 | +*/ | |
2827 | +static void libtetrabz_polcmplx2( | |
2828 | + int nb, | |
2829 | + int ne, | |
2830 | + double* *e0, | |
2831 | + double* ei1, | |
2832 | + double** ej1, | |
2833 | + double**** w1 | |
2834 | +) { | |
2835 | + int ib, i4, j4, ir, ie, indx[4]; | |
2836 | + double e[4], tsmall[4][4], v, de[4], thr, *** w2; | |
2837 | + | |
2838 | + w2 = (double***)malloc(4 * sizeof(double**)); | |
2839 | + w2[0] = (double**)malloc(4 * ne * sizeof(double*)); | |
2840 | + w2[0][0] = (double*)malloc(4 * ne * 2 * sizeof(double)); | |
2841 | + for (i4 = 0; i4 < 4; i4++) { | |
2842 | + w2[i4] = w2[0] + i4 * ne; | |
2843 | + for (ie = 0; ie < ne; ie++) { | |
2844 | + w2[i4][ie] = w2[0][0] + i4 * ne * 2 + ie * 2; | |
2845 | + } | |
2846 | + } | |
2847 | + | |
2848 | + thr = 1.0e-8; | |
2849 | + | |
2850 | + for (ib = 0; ib < nb; ib++) { | |
2851 | + | |
2852 | + for (i4 = 0; i4 < 4; i4++) | |
2853 | + for (ie = 0; ie < ne; ie++) | |
2854 | + for (ir = 0; ir < 2; ir++) | |
2855 | + w1[ib][i4][ie][ir] = 0.0; | |
2856 | + | |
2857 | + for (i4 = 0; i4 < 4; i4++) e[i4] = -ej1[ib][i4]; | |
2858 | + eig_sort(4, e, indx); | |
2859 | + | |
2860 | + if ((e[0] <= 0.0 && 0.0 < e[1]) || (e[0] < 0.0 && 0.0 <= e[1])) { | |
2861 | + | |
2862 | + libtetrabz_tsmall_a1(e, 0.0, &v, tsmall); | |
2863 | + | |
2864 | + if (v > thr) { | |
2865 | + for (j4 = 0; j4 < 4; j4++) de[j4] = 0.0; | |
2866 | + for (i4 = 0; i4 < 4; i4++) | |
2867 | + for (j4 = 0; j4 < 4; j4++) | |
2868 | + de[j4] += (ej1[ib][indx[i4]] - ei1[indx[i4]]) * tsmall[i4][j4]; | |
2869 | + libtetrabz_polcmplx3(ne, e0, de, w2); | |
2870 | + for (i4 = 0; i4 < 4; i4++) | |
2871 | + for (j4 = 0; j4 < 4; j4++) | |
2872 | + for (ie = 0; ie < ne; ie++) | |
2873 | + for (ir = 0; ir < 2; ir++) | |
2874 | + w1[ib][indx[i4]][ie][ir] += v * tsmall[i4][j4] * w2[j4][ie][ir]; | |
2875 | + } | |
2876 | + } | |
2877 | + else if ((e[1] <= 0.0 && 0.0 < e[2]) || (e[1] < 0.0 && 0.0 <= e[2])) { | |
2878 | + | |
2879 | + libtetrabz_tsmall_b1(e, 0.0, &v, tsmall); | |
2880 | + | |
2881 | + if (v > thr) { | |
2882 | + for (j4 = 0; j4 < 4; j4++) de[j4] = 0.0; | |
2883 | + for (i4 = 0; i4 < 4; i4++) | |
2884 | + for (j4 = 0; j4 < 4; j4++) | |
2885 | + de[j4] += (ej1[ib][indx[i4]] - ei1[indx[i4]]) * tsmall[i4][j4]; | |
2886 | + libtetrabz_polcmplx3(ne, e0, de, w2); | |
2887 | + for (i4 = 0; i4 < 4; i4++) | |
2888 | + for (j4 = 0; j4 < 4; j4++) | |
2889 | + for (ie = 0; ie < ne; ie++) | |
2890 | + for (ir = 0; ir < 2; ir++) | |
2891 | + w1[ib][indx[i4]][ie][ir] += v * tsmall[i4][j4] * w2[j4][ie][ir]; | |
2892 | + } | |
2893 | + | |
2894 | + libtetrabz_tsmall_b2(e, 0.0, &v, tsmall); | |
2895 | + | |
2896 | + if (v > thr) { | |
2897 | + for (j4 = 0; j4 < 4; j4++) de[j4] = 0.0; | |
2898 | + for (i4 = 0; i4 < 4; i4++) | |
2899 | + for (j4 = 0; j4 < 4; j4++) | |
2900 | + de[j4] += (ej1[ib][indx[i4]] - ei1[indx[i4]]) * tsmall[i4][j4]; | |
2901 | + libtetrabz_polcmplx3(ne, e0, de, w2); | |
2902 | + for (i4 = 0; i4 < 4; i4++) | |
2903 | + for (j4 = 0; j4 < 4; j4++) | |
2904 | + for (ie = 0; ie < ne; ie++) | |
2905 | + for (ir = 0; ir < 2; ir++) | |
2906 | + w1[ib][indx[i4]][ie][ir] += v * tsmall[i4][j4] * w2[j4][ie][ir]; | |
2907 | + } | |
2908 | + | |
2909 | + libtetrabz_tsmall_b3(e, 0.0, &v, tsmall); | |
2910 | + | |
2911 | + if (v > thr) { | |
2912 | + for (j4 = 0; j4 < 4; j4++) de[j4] = 0.0; | |
2913 | + for (i4 = 0; i4 < 4; i4++) | |
2914 | + for (j4 = 0; j4 < 4; j4++) | |
2915 | + de[j4] += (ej1[ib][indx[i4]] - ei1[indx[i4]]) * tsmall[i4][j4]; | |
2916 | + libtetrabz_polcmplx3(ne, e0, de, w2); | |
2917 | + for (i4 = 0; i4 < 4; i4++) | |
2918 | + for (j4 = 0; j4 < 4; j4++) | |
2919 | + for (ie = 0; ie < ne; ie++) | |
2920 | + for (ir = 0; ir < 2; ir++) | |
2921 | + w1[ib][indx[i4]][ie][ir] += v * tsmall[i4][j4] * w2[j4][ie][ir]; | |
2922 | + } | |
2923 | + } | |
2924 | + else if ((e[2] <= 0.0 && 0.0 < e[3]) || (e[2] < 0.0 && 0.0 <= e[3])) { | |
2925 | + | |
2926 | + libtetrabz_tsmall_c1(e, 0.0, &v, tsmall); | |
2927 | + | |
2928 | + if (v > thr) { | |
2929 | + for (j4 = 0; j4 < 4; j4++) de[j4] = 0.0; | |
2930 | + for (i4 = 0; i4 < 4; i4++) | |
2931 | + for (j4 = 0; j4 < 4; j4++) | |
2932 | + de[j4] += (ej1[ib][indx[i4]] - ei1[indx[i4]]) * tsmall[i4][j4]; | |
2933 | + libtetrabz_polcmplx3(ne, e0, de, w2); | |
2934 | + for (i4 = 0; i4 < 4; i4++) | |
2935 | + for (j4 = 0; j4 < 4; j4++) | |
2936 | + for (ie = 0; ie < ne; ie++) | |
2937 | + for (ir = 0; ir < 2; ir++) | |
2938 | + w1[ib][indx[i4]][ie][ir] += v * tsmall[i4][j4] * w2[j4][ie][ir]; | |
2939 | + } | |
2940 | + | |
2941 | + libtetrabz_tsmall_c2(e, 0.0, &v, tsmall); | |
2942 | + | |
2943 | + if (v > thr) { | |
2944 | + for (j4 = 0; j4 < 4; j4++) de[j4] = 0.0; | |
2945 | + for (i4 = 0; i4 < 4; i4++) | |
2946 | + for (j4 = 0; j4 < 4; j4++) | |
2947 | + de[j4] += (ej1[ib][indx[i4]] - ei1[indx[i4]]) * tsmall[i4][j4]; | |
2948 | + libtetrabz_polcmplx3(ne, e0, de, w2); | |
2949 | + for (i4 = 0; i4 < 4; i4++) | |
2950 | + for (j4 = 0; j4 < 4; j4++) | |
2951 | + for (ie = 0; ie < ne; ie++) | |
2952 | + for (ir = 0; ir < 2; ir++) | |
2953 | + w1[ib][indx[i4]][ie][ir] += v * tsmall[i4][j4] * w2[j4][ie][ir]; | |
2954 | + } | |
2955 | + | |
2956 | + libtetrabz_tsmall_c3(e, 0.0, &v, tsmall); | |
2957 | + | |
2958 | + if (v > thr) { | |
2959 | + for (j4 = 0; j4 < 4; j4++) de[j4] = 0.0; | |
2960 | + for (i4 = 0; i4 < 4; i4++) | |
2961 | + for (j4 = 0; j4 < 4; j4++) | |
2962 | + de[j4] += (ej1[ib][indx[i4]] - ei1[indx[i4]]) * tsmall[i4][j4]; | |
2963 | + libtetrabz_polcmplx3(ne, e0, de, w2); | |
2964 | + for (i4 = 0; i4 < 4; i4++) | |
2965 | + for (j4 = 0; j4 < 4; j4++) | |
2966 | + for (ie = 0; ie < ne; ie++) | |
2967 | + for (ir = 0; ir < 2; ir++) | |
2968 | + w1[ib][indx[i4]][ie][ir] += v * tsmall[i4][j4] * w2[j4][ie][ir]; | |
2969 | + } | |
2970 | + } | |
2971 | + else if (e[3] <= 0.0) { | |
2972 | + for (i4 = 0; i4 < 4; i4++) | |
2973 | + de[i4] = ej1[ib][i4] - ei1[i4]; | |
2974 | + libtetrabz_polcmplx3(ne, e0, de, w2); | |
2975 | + for (i4 = 0; i4 < 4; i4++) | |
2976 | + for (ie = 0; ie < ne; ie++) | |
2977 | + for (ir = 0; ir < 2; ir++) | |
2978 | + w1[ib][i4][ie][ir] += w2[i4][ie][ir]; | |
2979 | + } | |
2980 | + } | |
2981 | + free(w2[0][0]); | |
2982 | + free(w2[0]); | |
2983 | + free(w2); | |
2984 | +} | |
2985 | +/* | |
2986 | +Main SUBROUTINE for Polarization (Imaginary axis) : Theta(- E1) * Theta(E2) / (E2 - E1 - iw) | |
2987 | +*/ | |
2988 | +static PyObject* polcmplx_c(PyObject* self, PyObject* args) { | |
2989 | + int it, ik, ie, ib, i4, j4, ir, jb, **ikv, indx[4], i20, ierr, ng[3], nk, nb, ne; | |
2990 | + double wlsm[20][4], **ei1, **ej1, ei2[4], ** ej2, e[4], ***** w1, **** w2, v, tsmall[4][4], thr, | |
2991 | + bvec[3][3], ** eig1, ** eig2, ** e0, ***** wght; | |
2992 | + PyObject* eig1_po, * eig2_po, * e0_po, * wght_po; | |
2993 | + /* | |
2994 | + Read input from python object | |
2995 | + */ | |
2996 | + if (!PyArg_ParseTuple(args, "iiiiiidddddddddOOO", | |
2997 | + &ng[0], &ng[1], &ng[2], &nk, &nb, &ne, | |
2998 | + &bvec[0][0], &bvec[0][1], &bvec[0][2], &bvec[1][0], &bvec[1][1], &bvec[1][2], &bvec[2][0], &bvec[2][1], &bvec[2][2], | |
2999 | + &eig1_po, &eig2_po, &e0_po)) | |
3000 | + return NULL; | |
3001 | + /* | |
3002 | + convert python list object to array | |
3003 | + */ | |
3004 | + eig1 = (double**)malloc(nk * sizeof(double*)); | |
3005 | + eig1[0] = (double*)malloc(nk * nb * sizeof(double)); | |
3006 | + eig2 = (double**)malloc(nk * sizeof(double*)); | |
3007 | + eig2[0] = (double*)malloc(nk * nb * sizeof(double)); | |
3008 | + wght = (double*****)malloc(nk * sizeof(double****)); | |
3009 | + wght[0] = (double****)malloc(nk * nb * sizeof(double***)); | |
3010 | + wght[0][0] = (double***)malloc(nk * nb * nb * sizeof(double**)); | |
3011 | + wght[0][0][0] = (double**)malloc(nk * nb * nb * ne * sizeof(double*)); | |
3012 | + wght[0][0][0][0] = (double*)malloc(nk * nb * nb * ne * 2 * sizeof(double)); | |
3013 | + for (ik = 0; ik < nk; ik++) { | |
3014 | + eig1[ik] = eig1[0] + ik * nb; | |
3015 | + eig2[ik] = eig2[0] + ik * nb; | |
3016 | + wght[ik] = wght[0] + ik * nb; | |
3017 | + for (ib = 0; ib < nb; ib++) { | |
3018 | + wght[ik][ib] = wght[0][0] + ik * nb * nb + ib * nb; | |
3019 | + for (jb = 0; jb < nb; jb++) { | |
3020 | + wght[ik][ib][jb] = wght[0][0][0] | |
3021 | + + ik * nb * nb * ne + ib * nb * ne + jb * ne; | |
3022 | + for (ie = 0; ie < ne; ie++) { | |
3023 | + wght[ik][ib][jb][ie] = wght[0][0][0][0] | |
3024 | + + ik * nb * nb * ne * 2 + ib * nb * ne * 2 + jb * ne * 2 + ie * 2; | |
3025 | + } | |
3026 | + } | |
3027 | + } | |
3028 | + } | |
3029 | + e0 = (double**)malloc(ne * sizeof(double*)); | |
3030 | + e0[0] = (double*)malloc(ne * 2 * sizeof(double)); | |
3031 | + for (ie = 0; ie < ne; ie++) | |
3032 | + e0[ie] = e0[0] + ie * 2; | |
3033 | + | |
3034 | + for (ik = 0; ik < nk; ik++) | |
3035 | + for (ib = 0; ib < nb; ib++) { | |
3036 | + eig1[ik][ib] = PyFloat_AsDouble(PyList_GetItem(eig1_po, ik * nb + ib)); | |
3037 | + eig2[ik][ib] = PyFloat_AsDouble(PyList_GetItem(eig2_po, ik * nb + ib)); | |
3038 | + } | |
3039 | + for (ie = 0; ie < ne; ie++) | |
3040 | + for (ir = 0; ir < 2; ir++) | |
3041 | + e0[ie][ir] = PyFloat_AsDouble(PyList_GetItem(e0_po, ie * 2 + ir)); | |
3042 | + /* | |
3043 | + Start main calculation | |
3044 | + */ | |
3045 | + ikv = (int**)malloc(6 * nk * sizeof(int*)); | |
3046 | + ikv[0] = (int*)malloc(6 * nk * 20 * sizeof(int)); | |
3047 | + for (it = 0; it < 6 * nk; it++) { | |
3048 | + ikv[it] = ikv[0] + it * 20; | |
3049 | + } | |
3050 | + | |
3051 | + ei1 = (double**)malloc(4 * sizeof(double*)); | |
3052 | + ej1 = (double**)malloc(4 * sizeof(double*)); | |
3053 | + ei1[0] = (double*)malloc(4 * nb * sizeof(double)); | |
3054 | + ej1[0] = (double*)malloc(4 * nb * sizeof(double)); | |
3055 | + for (i4 = 0; i4 < 4; i4++) { | |
3056 | + ei1[i4] = ei1[0] + i4 * nb; | |
3057 | + ej1[i4] = ej1[0] + i4 * nb; | |
3058 | + } | |
3059 | + | |
3060 | + ej2 = (double**)malloc(nb * sizeof(double*)); | |
3061 | + ej2[0] = (double*)malloc(nb * 4 * sizeof(double)); | |
3062 | + for (ib = 0; ib < nb; ib++) | |
3063 | + ej2[ib] = ej2[0] + ib * 4; | |
3064 | + | |
3065 | + w1 = (double*****)malloc(nb * sizeof(double****)); | |
3066 | + w1[0] = (double****)malloc(nb * 4 * sizeof(double***)); | |
3067 | + w1[0][0] = (double***)malloc(nb * 4 * nb * sizeof(double**)); | |
3068 | + w1[0][0][0] = (double**)malloc(nb * 4 * nb * ne * sizeof(double*)); | |
3069 | + w1[0][0][0][0] = (double*)malloc(nb * 4 * nb * ne * 2 * sizeof(double)); | |
3070 | + for (ib = 0; ib < nb; ib++) { | |
3071 | + w1[ib] = w1[0] + ib * 4; | |
3072 | + for (i4 = 0; i4 < 4; i4++) { | |
3073 | + w1[ib][i4] = w1[0][0] + ib * 4 * nb + i4 * nb; | |
3074 | + for (jb = 0; jb < nb; jb++) { | |
3075 | + w1[ib][i4][jb] = w1[0][0][0] + ib * 4 * nb * ne + i4 * nb * ne + jb * ne; | |
3076 | + for (ie = 0; ie < ne; ie++) { | |
3077 | + w1[ib][i4][jb][ie] = w1[0][0][0][0] + ib * 4 * nb * ne * 2 + i4 * nb * ne * 2 + jb * ne * 2 + ie * 2; | |
3078 | + } | |
3079 | + } | |
3080 | + } | |
3081 | + } | |
3082 | + | |
3083 | + w2 = (double****)malloc(nb * sizeof(double***)); | |
3084 | + w2[0] = (double***)malloc(nb * 4 * sizeof(double**)); | |
3085 | + w2[0][0] = (double**)malloc(nb * 4 * ne * sizeof(double*)); | |
3086 | + w2[0][0][0] = (double*)malloc(nb * 4 * ne * 2 * sizeof(double)); | |
3087 | + for (ib = 0; ib < nb; ib++) { | |
3088 | + w2[ib] = w2[0] + ib * 4; | |
3089 | + for (i4 = 0; i4 < 4; i4++) { | |
3090 | + w2[ib][i4] = w2[0][0] + ib * 4 * ne + i4 * ne; | |
3091 | + for (ie = 0; ie < ne; ie++) { | |
3092 | + w2[ib][i4][ie] = w2[0][0][0] + ib * 4 * ne * 2 + i4 * ne * 2 + ie * 2; | |
3093 | + } | |
3094 | + } | |
3095 | + } | |
3096 | + | |
3097 | + libtetrabz_initialize(ng, bvec, wlsm, ikv); | |
3098 | + | |
3099 | + for (ik = 0; ik < nk; ik++) | |
3100 | + for (ib = 0; ib < nb; ib++) | |
3101 | + for (jb = 0; jb < nb; jb++) | |
3102 | + for (ie = 0; ie < ne; ie++) | |
3103 | + for (ir = 0; ir < 2; ir++) | |
3104 | + wght[ik][ib][jb][ie][ir] = 0.0; | |
3105 | + | |
3106 | + thr = 1.0e-8; | |
3107 | + | |
3108 | + for (it = 0; it < 6 * nk; it++) { | |
3109 | + | |
3110 | + for (i4 = 0; i4 < 4; i4++) | |
3111 | + for (ib = 0; ib < nb; ib++) { | |
3112 | + ei1[i4][ib] = 0.0; | |
3113 | + ej1[i4][ib] = 0.0; | |
3114 | + } | |
3115 | + for (i20 = 0; i20 < 20; i20++) { | |
3116 | + for (i4 = 0; i4 < 4; i4++) { | |
3117 | + for (ib = 0; ib < nb; ib++) { | |
3118 | + ei1[i4][ib] += eig1[ikv[it][i20]][ib] * wlsm[i20][i4]; | |
3119 | + ej1[i4][ib] += eig2[ikv[it][i20]][ib] * wlsm[i20][i4]; | |
3120 | + } | |
3121 | + } | |
3122 | + } | |
3123 | + | |
3124 | + for (ib = 0; ib < nb; ib++) { | |
3125 | + | |
3126 | + for (i4 = 0; i4 < 4; i4++) | |
3127 | + for (jb = 0; jb < nb; jb++) | |
3128 | + for (ie = 0; ie < ne; ie++) | |
3129 | + for (ir = 0; ir < 2; ir++) | |
3130 | + w1[ib][i4][jb][ie][ir] = 0.0; | |
3131 | + | |
3132 | + for (i4 = 0; i4 < 4; i4++) e[i4] = ei1[i4][ib]; | |
3133 | + eig_sort(4, e, indx); | |
3134 | + | |
3135 | + if (e[0] <= 0.0 && 0.0 < e[1]) { | |
3136 | + | |
3137 | + libtetrabz_tsmall_a1(e, 0.0, &v, tsmall); | |
3138 | + | |
3139 | + if (v > thr) { | |
3140 | + for (j4 = 0; j4 < 4; j4++) { | |
3141 | + ei2[j4] = 0.0; | |
3142 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
3143 | + } | |
3144 | + for (i4 = 0; i4 < 4; i4++) | |
3145 | + for (j4 = 0; j4 < 4; j4++) { | |
3146 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
3147 | + for (jb = 0; jb < nb; jb++) | |
3148 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
3149 | + } | |
3150 | + libtetrabz_polcmplx2(nb, ne, e0, ei2, ej2, w2); | |
3151 | + for (i4 = 0; i4 < 4; i4++) | |
3152 | + for (jb = 0; jb < nb; jb++) | |
3153 | + for (j4 = 0; j4 < 4; j4++) | |
3154 | + for (ie = 0; ie < ne; ie++) | |
3155 | + for (ir = 0; ir < 2; ir++) | |
3156 | + w1[ib][indx[i4]][jb][ie][ir] += v * tsmall[i4][j4] * w2[jb][j4][ie][ir]; | |
3157 | + } | |
3158 | + } | |
3159 | + else if (e[1] <= 0.0 && 0.0 < e[2]) { | |
3160 | + | |
3161 | + libtetrabz_tsmall_b1(e, 0.0, &v, tsmall); | |
3162 | + | |
3163 | + if (v > thr) { | |
3164 | + for (j4 = 0; j4 < 4; j4++) { | |
3165 | + ei2[j4] = 0.0; | |
3166 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
3167 | + } | |
3168 | + for (i4 = 0; i4 < 4; i4++) | |
3169 | + for (j4 = 0; j4 < 4; j4++) { | |
3170 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
3171 | + for (jb = 0; jb < nb; jb++) | |
3172 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
3173 | + } | |
3174 | + libtetrabz_polcmplx2(nb, ne, e0, ei2, ej2, w2); | |
3175 | + for (i4 = 0; i4 < 4; i4++) | |
3176 | + for (jb = 0; jb < nb; jb++) | |
3177 | + for (j4 = 0; j4 < 4; j4++) | |
3178 | + for (ie = 0; ie < ne; ie++) | |
3179 | + for (ir = 0; ir < 2; ir++) | |
3180 | + w1[ib][indx[i4]][jb][ie][ir] += v * tsmall[i4][j4] * w2[jb][j4][ie][ir]; | |
3181 | + } | |
3182 | + | |
3183 | + libtetrabz_tsmall_b2(e, 0.0, &v, tsmall); | |
3184 | + | |
3185 | + if (v > thr) { | |
3186 | + for (j4 = 0; j4 < 4; j4++) { | |
3187 | + ei2[j4] = 0.0; | |
3188 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
3189 | + } | |
3190 | + for (i4 = 0; i4 < 4; i4++) | |
3191 | + for (j4 = 0; j4 < 4; j4++) { | |
3192 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
3193 | + for (jb = 0; jb < nb; jb++) | |
3194 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
3195 | + } | |
3196 | + libtetrabz_polcmplx2(nb, ne, e0, ei2, ej2, w2); | |
3197 | + for (i4 = 0; i4 < 4; i4++) | |
3198 | + for (jb = 0; jb < nb; jb++) | |
3199 | + for (j4 = 0; j4 < 4; j4++) | |
3200 | + for (ie = 0; ie < ne; ie++) | |
3201 | + for (ir = 0; ir < 2; ir++) | |
3202 | + w1[ib][indx[i4]][jb][ie][ir] += v * tsmall[i4][j4] * w2[jb][j4][ie][ir]; | |
3203 | + } | |
3204 | + | |
3205 | + libtetrabz_tsmall_b3(e, 0.0, &v, tsmall); | |
3206 | + | |
3207 | + if (v > thr) { | |
3208 | + for (j4 = 0; j4 < 4; j4++) { | |
3209 | + ei2[j4] = 0.0; | |
3210 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
3211 | + } | |
3212 | + for (i4 = 0; i4 < 4; i4++) | |
3213 | + for (j4 = 0; j4 < 4; j4++) { | |
3214 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
3215 | + for (jb = 0; jb < nb; jb++) | |
3216 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
3217 | + } | |
3218 | + libtetrabz_polcmplx2(nb, ne, e0, ei2, ej2, w2); | |
3219 | + for (i4 = 0; i4 < 4; i4++) | |
3220 | + for (jb = 0; jb < nb; jb++) | |
3221 | + for (j4 = 0; j4 < 4; j4++) | |
3222 | + for (ie = 0; ie < ne; ie++) | |
3223 | + for (ir = 0; ir < 2; ir++) | |
3224 | + w1[ib][indx[i4]][jb][ie][ir] += v * tsmall[i4][j4] * w2[jb][j4][ie][ir]; | |
3225 | + } | |
3226 | + } | |
3227 | + else if (e[2] <= 0.0 && 0.0 < e[3]) { | |
3228 | + | |
3229 | + libtetrabz_tsmall_c1(e, 0.0, &v, tsmall); | |
3230 | + | |
3231 | + if (v > thr) { | |
3232 | + for (j4 = 0; j4 < 4; j4++) { | |
3233 | + ei2[j4] = 0.0; | |
3234 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
3235 | + } | |
3236 | + for (i4 = 0; i4 < 4; i4++) | |
3237 | + for (j4 = 0; j4 < 4; j4++) { | |
3238 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
3239 | + for (jb = 0; jb < nb; jb++) | |
3240 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
3241 | + } | |
3242 | + libtetrabz_polcmplx2(nb, ne, e0, ei2, ej2, w2); | |
3243 | + for (i4 = 0; i4 < 4; i4++) | |
3244 | + for (jb = 0; jb < nb; jb++) | |
3245 | + for (j4 = 0; j4 < 4; j4++) | |
3246 | + for (ie = 0; ie < ne; ie++) | |
3247 | + for (ir = 0; ir < 2; ir++) | |
3248 | + w1[ib][indx[i4]][jb][ie][ir] += v * tsmall[i4][j4] * w2[jb][j4][ie][ir]; | |
3249 | + } | |
3250 | + | |
3251 | + libtetrabz_tsmall_c2(e, 0.0, &v, tsmall); | |
3252 | + | |
3253 | + if (v > thr) { | |
3254 | + for (j4 = 0; j4 < 4; j4++) { | |
3255 | + ei2[j4] = 0.0; | |
3256 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
3257 | + } | |
3258 | + for (i4 = 0; i4 < 4; i4++) | |
3259 | + for (j4 = 0; j4 < 4; j4++) { | |
3260 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
3261 | + for (jb = 0; jb < nb; jb++) | |
3262 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
3263 | + } | |
3264 | + libtetrabz_polcmplx2(nb, ne, e0, ei2, ej2, w2); | |
3265 | + for (i4 = 0; i4 < 4; i4++) | |
3266 | + for (jb = 0; jb < nb; jb++) | |
3267 | + for (j4 = 0; j4 < 4; j4++) | |
3268 | + for (ie = 0; ie < ne; ie++) | |
3269 | + for (ir = 0; ir < 2; ir++) | |
3270 | + w1[ib][indx[i4]][jb][ie][ir] += v * tsmall[i4][j4] * w2[jb][j4][ie][ir]; | |
3271 | + } | |
3272 | + | |
3273 | + libtetrabz_tsmall_c3(e, 0.0, &v, tsmall); | |
3274 | + | |
3275 | + if (v > thr) { | |
3276 | + for (j4 = 0; j4 < 4; j4++) { | |
3277 | + ei2[j4] = 0.0; | |
3278 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
3279 | + } | |
3280 | + for (i4 = 0; i4 < 4; i4++) | |
3281 | + for (j4 = 0; j4 < 4; j4++) { | |
3282 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
3283 | + for (jb = 0; jb < nb; jb++) | |
3284 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
3285 | + } | |
3286 | + libtetrabz_polcmplx2(nb, ne, e0, ei2, ej2, w2); | |
3287 | + for (i4 = 0; i4 < 4; i4++) | |
3288 | + for (jb = 0; jb < nb; jb++) | |
3289 | + for (j4 = 0; j4 < 4; j4++) | |
3290 | + for (ie = 0; ie < ne; ie++) | |
3291 | + for (ir = 0; ir < 2; ir++) | |
3292 | + w1[ib][indx[i4]][jb][ie][ir] += v * tsmall[i4][j4] * w2[jb][j4][ie][ir]; | |
3293 | + } | |
3294 | + } | |
3295 | + else if (e[3] <= 0.0) { | |
3296 | + for (i4 = 0; i4 < 4; i4++) { | |
3297 | + ei2[i4] = ei1[i4][ib]; | |
3298 | + for (jb = 0; jb < nb; jb++) | |
3299 | + ej2[jb][i4] = ej1[i4][jb]; | |
3300 | + } | |
3301 | + libtetrabz_polcmplx2(nb, ne, e0, ei2, ej2, w2); | |
3302 | + for (i4 = 0; i4 < 4; i4++) | |
3303 | + for (jb = 0; jb < nb; jb++) | |
3304 | + for (ie = 0; ie < ne; ie++) | |
3305 | + for (ir = 0; ir < 2; ir++) | |
3306 | + w1[ib][i4][jb][ie][ir] += w2[jb][i4][ie][ir]; | |
3307 | + } | |
3308 | + else { | |
3309 | + continue; | |
3310 | + } | |
3311 | + } | |
3312 | + for (i20 = 0; i20 < 20; i20++) | |
3313 | + for (ib = 0; ib < nb; ib++) | |
3314 | + for (i4 = 0; i4 < 4; i4++) | |
3315 | + for (jb = 0; jb < nb; jb++) | |
3316 | + for (ie = 0; ie < ne; ie++) | |
3317 | + for (ir = 0; ir < 2; ir++) | |
3318 | + wght[ikv[it][i20]][ib][jb][ie][ir] += wlsm[i20][i4] * w1[ib][i4][jb][ie][ir]; | |
3319 | + } | |
3320 | + for (ik = 0; ik < nk; ik++) | |
3321 | + for (ib = 0; ib < nb; ib++) | |
3322 | + for (jb = 0; jb < nb; jb++) | |
3323 | + for (ie = 0; ie < ne; ie++) | |
3324 | + for (i4 = 0; i4 < 2; i4++) | |
3325 | + wght[ik][ib][jb][ie][i4] /= (6.0 * (double) nk); | |
3326 | + | |
3327 | + free(ikv[0]); | |
3328 | + free(ikv); | |
3329 | + free(ei1[0]); | |
3330 | + free(ei1); | |
3331 | + free(ej1[0]); | |
3332 | + free(ej1); | |
3333 | + free(ej2[0]); | |
3334 | + free(ej2); | |
3335 | + free(w1[0][0][0][0]); | |
3336 | + free(w1[0][0][0]); | |
3337 | + free(w1[0][0]); | |
3338 | + free(w1[0]); | |
3339 | + free(w1); | |
3340 | + free(w2[0][0][0]); | |
3341 | + free(w2[0][0]); | |
3342 | + free(w2[0]); | |
3343 | + free(w2); | |
3344 | + /* | |
3345 | + Convert weight to python list object | |
3346 | + */ | |
3347 | + wght_po = PyList_New(nk * nb * nb * ne * 2); | |
3348 | + ierr = 0; | |
3349 | + | |
3350 | + for (ik = 0; ik < nk; ik++) | |
3351 | + for (ib = 0; ib < nb; ib++) | |
3352 | + for (jb = 0; jb < nb; jb++) | |
3353 | + for (ie = 0; ie < ne; ie++) | |
3354 | + for (ir = 0; ir < 2; ir++) | |
3355 | + ierr = PyList_SetItem(wght_po, | |
3356 | + ik * nb * nb * ne * 2 + ib * nb * ne * 2 + jb * ne * 2 + ie * 2 + ir, | |
3357 | + PyFloat_FromDouble(wght[ik][ib][jb][ie][ir])); | |
3358 | + if (ierr != 0)printf("Error in PyList_SetItem\n"); | |
3359 | + | |
3360 | + free(eig1[0]); | |
3361 | + free(eig1); | |
3362 | + free(eig2[0]); | |
3363 | + free(eig2); | |
3364 | + free(wght[0][0][0][0]); | |
3365 | + free(wght[0][0][0]); | |
3366 | + free(wght[0][0]); | |
3367 | + free(wght[0]); | |
3368 | + free(wght); | |
3369 | + free(e0[0]); | |
3370 | + free(e0); | |
3371 | + | |
3372 | + return wght_po; | |
3373 | +} | |
3374 | +/* | |
3375 | + Results of Integration (1-x-y-z)/(g0+(g1-g0)x+(g2-g0)y+(g3-g0)) | |
3376 | + for 0<x<1, 0<y<1-x, 0<z<1-x-y | |
3377 | +*/ | |
3378 | +/* | |
3379 | +1, Different each other | |
3380 | +*/ | |
3381 | +static double libtetrabz_polstat_1234( | |
3382 | + double g1, | |
3383 | + double g2, | |
3384 | + double g3, | |
3385 | + double g4, | |
3386 | + double lng1, | |
3387 | + double lng2, | |
3388 | + double lng3, | |
3389 | + double lng4) | |
3390 | +{ | |
3391 | + double w2, w3, w4, w; | |
3392 | + w2 = ((lng2 - lng1) / (g2 - g1) * g2 - 1.0) * g2 / (g2 - g1); | |
3393 | + w3 = ((lng3 - lng1) / (g3 - g1) * g3 - 1.0) * g3 / (g3 - g1); | |
3394 | + w4 = ((lng4 - lng1) / (g4 - g1) * g4 - 1.0) * g4 / (g4 - g1); | |
3395 | + w2 = ((w2 - w3) * g2) / (g2 - g3); | |
3396 | + w4 = ((w4 - w3) * g4) / (g4 - g3); | |
3397 | + w = (w4 - w2) / (g4 - g2); | |
3398 | + return w; | |
3399 | +} | |
3400 | +/* | |
3401 | +2, g4 = g1 | |
3402 | +*/ | |
3403 | +static double libtetrabz_polstat_1231( | |
3404 | + double g1, | |
3405 | + double g2, | |
3406 | + double g3, | |
3407 | + double lng1, | |
3408 | + double lng2, | |
3409 | + double lng3 | |
3410 | +) { | |
3411 | + double w2, w3, w; | |
3412 | + w2 = ((lng2 - lng1) / (g2 - g1) * g2 - 1.0) * g2 * g2 / (g2 - g1) - g1 / 2.0; | |
3413 | + w2 = w2 / (g2 - g1); | |
3414 | + w3 = ((lng3 - lng1) / (g3 - g1) * g3 - 1.0) * g3 * g3 / (g3 - g1) - g1 / 2.0; | |
3415 | + w3 = w3 / (g3 - g1); | |
3416 | + w = (w3 - w2) / (g3 - g2); | |
3417 | + return w; | |
3418 | +} | |
3419 | +/* | |
3420 | +# 3, g4 = g3 | |
3421 | +*/ | |
3422 | +static double libtetrabz_polstat_1233( | |
3423 | + double g1, | |
3424 | + double g2, | |
3425 | + double g3, | |
3426 | + double lng1, | |
3427 | + double lng2, | |
3428 | + double lng3 | |
3429 | +) { | |
3430 | + double w2, w3, w; | |
3431 | + w2 = (lng2 - lng1) / (g2 - g1) * g2 - 1.0; | |
3432 | + w2 = (g2 * w2) / (g2 - g1); | |
3433 | + w3 = (lng3 - lng1) / (g3 - g1) * g3 - 1.0; | |
3434 | + w3 = (g3 * w3) / (g3 - g1); | |
3435 | + w2 = (w3 - w2) / (g3 - g2); | |
3436 | + w3 = (lng3 - lng1) / (g3 - g1) * g3 - 1.0; | |
3437 | + w3 = 1.0 - (2.0 * w3 * g1) / (g3 - g1); | |
3438 | + w3 = w3 / (g3 - g1); | |
3439 | + w = (g3 * w3 - g2 * w2) / (g3 - g2); | |
3440 | + return w; | |
3441 | +} | |
3442 | +/* | |
3443 | +4, g4 = g1 and g3 = g2 | |
3444 | +*/ | |
3445 | +static double libtetrabz_polstat_1221( | |
3446 | + double g1, | |
3447 | + double g2, | |
3448 | + double lng1, | |
3449 | + double lng2 | |
3450 | +) { | |
3451 | + double w; | |
3452 | + w = 1.0 - (lng2 - lng1) / (g2 - g1) * g1; | |
3453 | + w = -1.0 + (2.0 * g2 * w) / (g2 - g1); | |
3454 | + w = -1.0 + (3.0 * g2 * w) / (g2 - g1); | |
3455 | + w = w / (2.0 * (g2 - g1)); | |
3456 | + return w; | |
3457 | +} | |
3458 | +/* | |
3459 | +5, g4 = g3 = g2 | |
3460 | +*/ | |
3461 | +static double libtetrabz_polstat_1222( | |
3462 | + double g1, | |
3463 | + double g2, | |
3464 | + double lng1, | |
3465 | + double lng2 | |
3466 | +) { | |
3467 | + double w; | |
3468 | + w = (lng2 - lng1) / (g2 - g1) * g2 - 1.0; | |
3469 | + w = (2.0 * g1 * w) / (g2 - g1) - 1.0; | |
3470 | + w = (3.0 * g1 * w) / (g2 - g1) + 1.0; | |
3471 | + w = w / (2.0 * (g2 - g1)); | |
3472 | + return w; | |
3473 | +} | |
3474 | +/* | |
3475 | +6, g4 = g3 = g1 | |
3476 | +*/ | |
3477 | +static double libtetrabz_polstat_1211( | |
3478 | + double g1, | |
3479 | + double g2, | |
3480 | + double lng1, | |
3481 | + double lng2 | |
3482 | +) { | |
3483 | + double w; | |
3484 | + w = -1.0 + (lng2 - lng1) / (g2 - g1) * g2; | |
3485 | + w = -1.0 + (2.0 * g2 * w) / (g2 - g1); | |
3486 | + w = -1.0 + (3.0 * g2 * w) / (2.0 * (g2 - g1)); | |
3487 | + w = w / (3.0 * (g2 - g1)); | |
3488 | + return w; | |
3489 | +} | |
3490 | +/* | |
3491 | +Tetrahedron method for delta(om - ep + e) | |
3492 | +*/ | |
3493 | +static void libtetrabz_polstat3( | |
3494 | + double de[4], | |
3495 | + double w1[4] | |
3496 | +) | |
3497 | +{ | |
3498 | + int i4, indx[4]; | |
3499 | + double thr, thr2, e[4], ln[4]; | |
3500 | + | |
3501 | + for (i4 = 0; i4 < 4; i4++) e[i4] = de[i4]; | |
3502 | + eig_sort(4, e, indx); | |
3503 | + | |
3504 | + thr = e[3] * 1.0e-3; | |
3505 | + thr2 = 1.0e-8; | |
3506 | + | |
3507 | + for(i4 =0; i4 <4; i4++){ | |
3508 | + if (e[i4] < thr2) { | |
3509 | + if (i4 == 3) { | |
3510 | + printf(" Nesting # \n"); | |
3511 | + } | |
3512 | + ln[i4] = 0.0; | |
3513 | + e[i4] = 0.0; | |
3514 | + } | |
3515 | + else{ | |
3516 | + ln[i4] = log(e[i4]); | |
3517 | + } | |
3518 | + } | |
3519 | + | |
3520 | + if (fabs(e[3] - e[2]) < thr) { | |
3521 | + if (fabs(e[3] - e[1]) < thr) { | |
3522 | + if (fabs(e[3] - e[0]) < thr) { | |
3523 | + /* | |
3524 | + e[3] = e[2] = e[1] = e[0] | |
3525 | + */ | |
3526 | + w1[indx[3]] = 0.25 / e[3]; | |
3527 | + w1[indx[2]] = w1[indx[3]]; | |
3528 | + w1[indx[1]] = w1[indx[3]]; | |
3529 | + w1[indx[0]] = w1[indx[3]]; | |
3530 | + } | |
3531 | + else { | |
3532 | + /* | |
3533 | + e[3] = e[2] = e[1] | |
3534 | + */ | |
3535 | + w1[indx[3]] = libtetrabz_polstat_1211(e[3], e[0], ln[3], ln[0]); | |
3536 | + w1[indx[2]] = w1[indx[3]]; | |
3537 | + w1[indx[1]] = w1[indx[3]]; | |
3538 | + w1[indx[0]] = libtetrabz_polstat_1222(e[0], e[3], ln[0], ln[3]); | |
3539 | + if (w1[0] < 0.0 || w1[1] < 0.0 || w1[2] < 0.0 || w1[3] < 0.0) { | |
3540 | + printf("%f %f %f %f\n", e[0], e[1], e[2], e[3]); | |
3541 | + printf("%f %f %f %f\n", w1[indx[0]], w1[indx[1]], w1[indx[2]], w1[indx[3]]); | |
3542 | + printf("weighting 4=3=2\n"); | |
3543 | + } | |
3544 | + } | |
3545 | + } | |
3546 | + else if (fabs(e[1] - e[0]) < thr) { | |
3547 | + /* | |
3548 | + e[3] = e[2], e[1] = e[0] | |
3549 | + */ | |
3550 | + w1[indx[3]] = libtetrabz_polstat_1221(e[3], e[1], ln[3], ln[1]); | |
3551 | + w1[indx[2]] = w1[indx[3]]; | |
3552 | + w1[indx[1]] = libtetrabz_polstat_1221(e[1], e[3], ln[1], ln[3]); | |
3553 | + w1[indx[0]] = w1[indx[1]]; | |
3554 | + | |
3555 | + if (w1[0] < 0.0 || w1[1] < 0.0 || w1[2] < 0.0 || w1[3] < 0.0) { | |
3556 | + printf("%f %f %f %f\n", e[0], e[1], e[2], e[3]); | |
3557 | + printf("%f %f %f %f\n", w1[indx[0]], w1[indx[1]], w1[indx[2]], w1[indx[3]]); | |
3558 | + printf("weighting 4=3 2=1\n"); | |
3559 | + } | |
3560 | + } | |
3561 | + else { | |
3562 | + /* | |
3563 | + e[3] = e[2] | |
3564 | + */ | |
3565 | + w1[indx[3]] = libtetrabz_polstat_1231(e[3], e[0], e[1], ln[3], ln[0], ln[1]); | |
3566 | + w1[indx[2]] = w1[indx[3]]; | |
3567 | + w1[indx[1]] = libtetrabz_polstat_1233(e[1], e[0], e[3], ln[1], ln[0], ln[3]); | |
3568 | + w1[indx[0]] = libtetrabz_polstat_1233(e[0], e[1], e[3], ln[0], ln[1], ln[3]); | |
3569 | + | |
3570 | + if (w1[0] < 0.0 || w1[1] < 0.0 || w1[2] < 0.0 || w1[3] < 0.0) { | |
3571 | + printf("%f %f %f %f\n", e[0], e[1], e[2], e[3]); | |
3572 | + printf("%f %f %f %f\n", w1[indx[0]], w1[indx[1]], w1[indx[2]], w1[indx[3]]); | |
3573 | + printf("weighting 4=3\n"); | |
3574 | + } | |
3575 | + } | |
3576 | + } | |
3577 | + else if (fabs(e[2] - e[1]) < thr) { | |
3578 | + if (fabs(e[2] - e[0]) < thr) { | |
3579 | + /* | |
3580 | + e[2] = e[1] = e[0] | |
3581 | + */ | |
3582 | + w1[indx[3]] = libtetrabz_polstat_1222(e[3], e[2], ln[3], ln[2]); | |
3583 | + w1[indx[2]] = libtetrabz_polstat_1211(e[2], e[3], ln[2], ln[3]); | |
3584 | + w1[indx[1]] = w1[indx[2]]; | |
3585 | + w1[indx[0]] = w1[indx[2]]; | |
3586 | + | |
3587 | + if (w1[0] < 0.0 || w1[1] < 0.0 || w1[2] < 0.0 || w1[3] < 0.0) { | |
3588 | + printf("%f %f %f %f\n", e[0], e[1], e[2], e[3]); | |
3589 | + printf("%f %f %f %f\n", w1[indx[0]], w1[indx[1]], w1[indx[2]], w1[indx[3]]); | |
3590 | + printf("weighting 3=2=1\n"); | |
3591 | + } | |
3592 | + } | |
3593 | + else { | |
3594 | + /* | |
3595 | + e[2] = e[1] | |
3596 | + */ | |
3597 | + w1[indx[3]] = libtetrabz_polstat_1233(e[3], e[0], e[2], ln[3], ln[0], ln[2]); | |
3598 | + w1[indx[2]] = libtetrabz_polstat_1231(e[2], e[0], e[3], ln[2], ln[0], ln[3]); | |
3599 | + w1[indx[1]] = w1[indx[2]]; | |
3600 | + w1[indx[0]] = libtetrabz_polstat_1233(e[0], e[3], e[2], ln[0], ln[3], ln[2]); | |
3601 | + | |
3602 | + if (w1[0] < 0.0 || w1[1] < 0.0 || w1[2] < 0.0 || w1[3] < 0.0) { | |
3603 | + printf("%f %f %f %f\n", e[0], e[1], e[2], e[3]); | |
3604 | + printf("%f %f %f %f\n", w1[indx[0]], w1[indx[1]], w1[indx[2]], w1[indx[3]]); | |
3605 | + printf("weighting 3=2\n"); | |
3606 | + } | |
3607 | + } | |
3608 | + } | |
3609 | + else if (fabs(e[1] - e[0]) < thr) { | |
3610 | + /* | |
3611 | + e[1] = e[0] | |
3612 | + */ | |
3613 | + w1[indx[3]] = libtetrabz_polstat_1233(e[3], e[2], e[1], ln[3], ln[2], ln[1]); | |
3614 | + w1[indx[2]] = libtetrabz_polstat_1233(e[2], e[3], e[1], ln[2], ln[3], ln[1]); | |
3615 | + w1[indx[1]] = libtetrabz_polstat_1231(e[1], e[2], e[3], ln[1], ln[2], ln[3]); | |
3616 | + w1[indx[0]] = w1[indx[1]]; | |
3617 | + | |
3618 | + if (w1[0] < 0.0 || w1[1] < 0.0 || w1[2] < 0.0 || w1[3] < 0.0) { | |
3619 | + printf("%f %f %f %f\n", e[0], e[1], e[2], e[3]); | |
3620 | + printf("%f %f %f %f\n", w1[indx[0]], w1[indx[1]], w1[indx[2]], w1[indx[3]]); | |
3621 | + printf("weighting 2=1\n"); | |
3622 | + } | |
3623 | + } | |
3624 | + else { | |
3625 | + /* | |
3626 | + Different each other. | |
3627 | + */ | |
3628 | + w1[indx[3]] = libtetrabz_polstat_1234(e[3], e[0], e[1], e[2], ln[3], ln[0], ln[1], ln[2]); | |
3629 | + w1[indx[2]] = libtetrabz_polstat_1234(e[2], e[0], e[1], e[3], ln[2], ln[0], ln[1], ln[3]); | |
3630 | + w1[indx[1]] = libtetrabz_polstat_1234(e[1], e[0], e[2], e[3], ln[1], ln[0], ln[2], ln[3]); | |
3631 | + w1[indx[0]] = libtetrabz_polstat_1234(e[0], e[1], e[2], e[3], ln[0], ln[1], ln[2], ln[3]); | |
3632 | + | |
3633 | + if (w1[0] < 0.0 || w1[1] < 0.0 || w1[2] < 0.0 || w1[3] < 0.0) { | |
3634 | + printf("%f %f %f %f\n", e[0], e[1], e[2], e[3]); | |
3635 | + printf("%f %f %f %f\n", w1[indx[0]], w1[indx[1]], w1[indx[2]], w1[indx[3]]); | |
3636 | + printf("weighting\n"); | |
3637 | + } | |
3638 | + } | |
3639 | +} | |
3640 | +/* | |
3641 | +Tetrahedron method for theta( - E2) | |
3642 | +*/ | |
3643 | +static void libtetrabz_polstat2( | |
3644 | + int nb, | |
3645 | + double *ei1, | |
3646 | + double **ej1, | |
3647 | + double **w1 | |
3648 | +) { | |
3649 | + int i4, j4, ib, indx[4]; | |
3650 | + double v, thr, e[4], de[4], w2[4], tsmall[4][4]; | |
3651 | + | |
3652 | + thr = 1.0e-8; | |
3653 | + | |
3654 | + for (ib = 0; ib < nb; ib++) { | |
3655 | + | |
3656 | + for (i4 = 0; i4 < 4; i4++) | |
3657 | + w1[ib][i4] = 0.0; | |
3658 | + | |
3659 | + for (i4 = 0; i4 < 4; i4++) e[i4] = -ej1[ib][i4]; | |
3660 | + eig_sort(4, e, indx); | |
3661 | + | |
3662 | + if ((e[0] <= 0.0 && 0.0 < e[1]) || (e[0] < 0.0 && 0.0 <= e[1])) { | |
3663 | + | |
3664 | + libtetrabz_tsmall_a1(e, 0.0, &v, tsmall); | |
3665 | + | |
3666 | + if (v > thr) { | |
3667 | + for (j4 = 0; j4 < 4; j4++) de[j4] = 0.0; | |
3668 | + for (i4 = 0; i4 < 4; i4++) | |
3669 | + for (j4 = 0; j4 < 4; j4++) | |
3670 | + de[j4] += (ej1[ib][indx[i4]] - ei1[indx[i4]]) * tsmall[i4][j4]; | |
3671 | + libtetrabz_polstat3(de, w2); | |
3672 | + for (i4 = 0; i4 < 4; i4++) | |
3673 | + for (j4 = 0; j4 < 4; j4++) | |
3674 | + w1[ib][indx[i4]] += v * tsmall[i4][j4] * w2[j4]; | |
3675 | + } | |
3676 | + } | |
3677 | + else if ((e[1] <= 0.0 && 0.0 < e[2]) || (e[1] < 0.0 && 0.0 <= e[2])) { | |
3678 | + | |
3679 | + libtetrabz_tsmall_b1(e, 0.0, &v, tsmall); | |
3680 | + | |
3681 | + if (v > thr) { | |
3682 | + for (j4 = 0; j4 < 4; j4++) de[j4] = 0.0; | |
3683 | + for (i4 = 0; i4 < 4; i4++) | |
3684 | + for (j4 = 0; j4 < 4; j4++) | |
3685 | + de[j4] += (ej1[ib][indx[i4]] - ei1[indx[i4]]) * tsmall[i4][j4]; | |
3686 | + libtetrabz_polstat3(de, w2); | |
3687 | + for (i4 = 0; i4 < 4; i4++) | |
3688 | + for (j4 = 0; j4 < 4; j4++) | |
3689 | + w1[ib][indx[i4]] += v * tsmall[i4][j4] * w2[j4]; | |
3690 | + } | |
3691 | + | |
3692 | + libtetrabz_tsmall_b2(e, 0.0, &v, tsmall); | |
3693 | + | |
3694 | + if (v > thr) { | |
3695 | + for (j4 = 0; j4 < 4; j4++) de[j4] = 0.0; | |
3696 | + for (i4 = 0; i4 < 4; i4++) | |
3697 | + for (j4 = 0; j4 < 4; j4++) | |
3698 | + de[j4] += (ej1[ib][indx[i4]] - ei1[indx[i4]]) * tsmall[i4][j4]; | |
3699 | + libtetrabz_polstat3(de, w2); | |
3700 | + for (i4 = 0; i4 < 4; i4++) | |
3701 | + for (j4 = 0; j4 < 4; j4++) | |
3702 | + w1[ib][indx[i4]] += v * tsmall[i4][j4] * w2[j4]; | |
3703 | + } | |
3704 | + | |
3705 | + libtetrabz_tsmall_b3(e, 0.0, &v, tsmall); | |
3706 | + | |
3707 | + if (v > thr) { | |
3708 | + for (j4 = 0; j4 < 4; j4++) de[j4] = 0.0; | |
3709 | + for (i4 = 0; i4 < 4; i4++) | |
3710 | + for (j4 = 0; j4 < 4; j4++) | |
3711 | + de[j4] += (ej1[ib][indx[i4]] - ei1[indx[i4]]) * tsmall[i4][j4]; | |
3712 | + libtetrabz_polstat3(de, w2); | |
3713 | + for (i4 = 0; i4 < 4; i4++) | |
3714 | + for (j4 = 0; j4 < 4; j4++) | |
3715 | + w1[ib][indx[i4]] += v * tsmall[i4][j4] * w2[j4]; | |
3716 | + } | |
3717 | + } | |
3718 | + else if ((e[2] <= 0.0 && 0.0 < e[3]) || (e[2] < 0.0 && 0.0 <= e[3])) { | |
3719 | + | |
3720 | + libtetrabz_tsmall_c1(e, 0.0, &v, tsmall); | |
3721 | + | |
3722 | + if (v > thr) { | |
3723 | + for (j4 = 0; j4 < 4; j4++) de[j4] = 0.0; | |
3724 | + for (i4 = 0; i4 < 4; i4++) | |
3725 | + for (j4 = 0; j4 < 4; j4++) | |
3726 | + de[j4] += (ej1[ib][indx[i4]] - ei1[indx[i4]]) * tsmall[i4][j4]; | |
3727 | + libtetrabz_polstat3(de, w2); | |
3728 | + for (i4 = 0; i4 < 4; i4++) | |
3729 | + for (j4 = 0; j4 < 4; j4++) | |
3730 | + w1[ib][indx[i4]] += v * tsmall[i4][j4] * w2[j4]; | |
3731 | + } | |
3732 | + | |
3733 | + libtetrabz_tsmall_c2(e, 0.0, &v, tsmall); | |
3734 | + | |
3735 | + if (v > thr) { | |
3736 | + for (j4 = 0; j4 < 4; j4++) de[j4] = 0.0; | |
3737 | + for (i4 = 0; i4 < 4; i4++) | |
3738 | + for (j4 = 0; j4 < 4; j4++) | |
3739 | + de[j4] += (ej1[ib][indx[i4]] - ei1[indx[i4]]) * tsmall[i4][j4]; | |
3740 | + libtetrabz_polstat3(de, w2); | |
3741 | + for (i4 = 0; i4 < 4; i4++) | |
3742 | + for (j4 = 0; j4 < 4; j4++) | |
3743 | + w1[ib][indx[i4]] += v * tsmall[i4][j4] * w2[j4]; | |
3744 | + } | |
3745 | + | |
3746 | + libtetrabz_tsmall_c3(e, 0.0, &v, tsmall); | |
3747 | + | |
3748 | + if (v > thr) { | |
3749 | + for (j4 = 0; j4 < 4; j4++) de[j4] = 0.0; | |
3750 | + for (i4 = 0; i4 < 4; i4++) | |
3751 | + for (j4 = 0; j4 < 4; j4++) | |
3752 | + de[j4] += (ej1[ib][indx[i4]] - ei1[indx[i4]]) * tsmall[i4][j4]; | |
3753 | + libtetrabz_polstat3(de, w2); | |
3754 | + for (i4 = 0; i4 < 4; i4++) | |
3755 | + for (j4 = 0; j4 < 4; j4++) | |
3756 | + w1[ib][indx[i4]] += v * tsmall[i4][j4] * w2[j4]; | |
3757 | + } | |
3758 | + } | |
3759 | + else if (e[3] <= 0.0) { | |
3760 | + for (i4 = 0; i4 < 4; i4++) | |
3761 | + de[i4] = ej1[ib][i4] - ei1[i4]; | |
3762 | + libtetrabz_polstat3(de, w2); | |
3763 | + for (i4 = 0; i4 < 4; i4++) | |
3764 | + w1[ib][i4] += w2[i4]; | |
3765 | + } | |
3766 | + } | |
3767 | +} | |
3768 | +/* | |
3769 | +Compute Static polarization function | |
3770 | +*/ | |
3771 | +static PyObject* polstat_c(PyObject* self, PyObject* args) | |
3772 | +{ | |
3773 | + int it, ik, ib, jb, i20, i4, j4, **ikv, indx[4], ierr, ng[3], nk, nb; | |
3774 | + double wlsm[20][4], **ei1, **ej1, ei2[4], ** ej2, e[4], *** w1, ** w2, v, tsmall[4][4], thr, | |
3775 | + bvec[3][3], ** eig1, ** eig2, *** wght; | |
3776 | + PyObject* eig1_po, * eig2_po, * wght_po; | |
3777 | + /* | |
3778 | + Read input from python object | |
3779 | + */ | |
3780 | + if (!PyArg_ParseTuple(args, "iiiiidddddddddOO", | |
3781 | + &ng[0], &ng[1], &ng[2], &nk, &nb, | |
3782 | + &bvec[0][0], &bvec[0][1], &bvec[0][2], &bvec[1][0], &bvec[1][1], &bvec[1][2], &bvec[2][0], &bvec[2][1], &bvec[2][2], | |
3783 | + &eig1_po, &eig2_po)) | |
3784 | + return NULL; | |
3785 | + /* | |
3786 | + convert python list object to array | |
3787 | + */ | |
3788 | + eig1 = (double**)malloc(nk * sizeof(double*)); | |
3789 | + eig1[0] = (double*)malloc(nk * nb * sizeof(double)); | |
3790 | + eig2 = (double**)malloc(nk * sizeof(double*)); | |
3791 | + eig2[0] = (double*)malloc(nk * nb * sizeof(double)); | |
3792 | + wght = (double***)malloc(nk * sizeof(double**)); | |
3793 | + wght[0] = (double**)malloc(nk * nb * sizeof(double*)); | |
3794 | + wght[0][0] = (double*)malloc(nk * nb * nb * sizeof(double)); | |
3795 | + for (ik = 0; ik < nk; ik++) { | |
3796 | + eig1[ik] = eig1[0] + ik * nb; | |
3797 | + eig2[ik] = eig2[0] + ik * nb; | |
3798 | + wght[ik] = wght[0] + ik * nb; | |
3799 | + for (ib = 0; ib < nb; ib++) { | |
3800 | + wght[ik][ib] = wght[0][0] + ik * nb * nb + ib * nb; | |
3801 | + } | |
3802 | + } | |
3803 | + | |
3804 | + for (ik = 0; ik < nk; ik++) | |
3805 | + for (ib = 0; ib < nb; ib++) { | |
3806 | + eig1[ik][ib] = PyFloat_AsDouble(PyList_GetItem(eig1_po, ik * nb + ib)); | |
3807 | + eig2[ik][ib] = PyFloat_AsDouble(PyList_GetItem(eig2_po, ik * nb + ib)); | |
3808 | + } | |
3809 | + /* | |
3810 | + Start main calculation | |
3811 | + */ | |
3812 | + | |
3813 | + | |
3814 | + thr = 1.0e-10; | |
3815 | + | |
3816 | + ikv = (int**)malloc(6 * nk * sizeof(int*)); | |
3817 | + ikv[0] = (int*)malloc(6 * nk * 20 * sizeof(int)); | |
3818 | + for (it = 0; it < 6 * nk; it++) { | |
3819 | + ikv[it] = ikv[0] + it * 20; | |
3820 | + } | |
3821 | + | |
3822 | + ei1 = (double**)malloc(4 * sizeof(double*)); | |
3823 | + ej1 = (double**)malloc(4 * sizeof(double*)); | |
3824 | + ei1[0] = (double*)malloc(4 * nb * sizeof(double)); | |
3825 | + ej1[0] = (double*)malloc(4 * nb * sizeof(double)); | |
3826 | + for (i4 = 0; i4 < 4; i4++) { | |
3827 | + ei1[i4] = ei1[0] + i4 * nb; | |
3828 | + ej1[i4] = ej1[0] + i4 * nb; | |
3829 | + } | |
3830 | + | |
3831 | + ej2 = (double**)malloc(nb * sizeof(double*)); | |
3832 | + ej2[0] = (double*)malloc(nb * 4 * sizeof(double)); | |
3833 | + for (ib = 0; ib < nb; ib++) | |
3834 | + ej2[ib] = ej2[0] + ib * 4; | |
3835 | + | |
3836 | + w1 = (double***)malloc(nb * sizeof(double**)); | |
3837 | + w1[0] = (double**)malloc(nb * 4 * sizeof(double*)); | |
3838 | + w1[0][0] = (double*)malloc(nb * 4 * nb * sizeof(double)); | |
3839 | + for (ib = 0; ib < nb; ib++) { | |
3840 | + w1[ib] = w1[0] + ib * 4; | |
3841 | + for (i4 = 0; i4 < 4; i4++) { | |
3842 | + w1[ib][i4] = w1[0][0] + ib * 4 * nb + i4 * nb; | |
3843 | + } | |
3844 | + } | |
3845 | + | |
3846 | + w2 = (double**)malloc(nb * sizeof(double*)); | |
3847 | + w2[0] = (double*)malloc(nb * 4 * sizeof(double)); | |
3848 | + for (ib = 0; ib < nb; ib++) { | |
3849 | + w2[ib] = w2[0] + ib * 4; | |
3850 | + } | |
3851 | + | |
3852 | + libtetrabz_initialize(ng, bvec, wlsm, ikv); | |
3853 | + | |
3854 | + for (ik = 0; ik < nk; ik++) | |
3855 | + for (ib = 0; ib < nb; ib++) | |
3856 | + for (jb = 0; jb < nb; jb++) | |
3857 | + wght[ik][ib][jb] = 0.0; | |
3858 | + | |
3859 | + for(it = 0; it < 6*nk; it++) { | |
3860 | + | |
3861 | + for (i4 = 0; i4 < 4; i4++) | |
3862 | + for (ib = 0; ib < nb; ib++) { | |
3863 | + ei1[i4][ib] = 0.0; | |
3864 | + ej1[i4][ib] = 0.0; | |
3865 | + } | |
3866 | + for (i20 = 0; i20 < 20; i20++) { | |
3867 | + for (i4 = 0; i4 < 4; i4++) { | |
3868 | + for (ib = 0; ib < nb; ib++) { | |
3869 | + ei1[i4][ib] += eig1[ikv[it][i20]][ib] * wlsm[i20][i4]; | |
3870 | + ej1[i4][ib] += eig2[ikv[it][i20]][ib] * wlsm[i20][i4]; | |
3871 | + } | |
3872 | + } | |
3873 | + } | |
3874 | + | |
3875 | + for (ib = 0; ib < nb; ib++) { | |
3876 | + | |
3877 | + for (i4 = 0; i4 < 4; i4++) | |
3878 | + for (jb = 0; jb < nb; jb++) | |
3879 | + w1[ib][i4][jb] = 0.0; | |
3880 | + | |
3881 | + for (i4 = 0; i4 < 4; i4++) e[i4] = ei1[i4][ib]; | |
3882 | + eig_sort(4, e, indx); | |
3883 | + | |
3884 | + if (e[0] <= 0.0 && 0.0 < e[1]) { | |
3885 | + | |
3886 | + libtetrabz_tsmall_a1(e, 0.0, &v, tsmall); | |
3887 | + | |
3888 | + if (v > thr) { | |
3889 | + for (j4 = 0; j4 < 4; j4++) { | |
3890 | + ei2[j4] = 0.0; | |
3891 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
3892 | + } | |
3893 | + for (i4 = 0; i4 < 4; i4++) | |
3894 | + for (j4 = 0; j4 < 4; j4++) { | |
3895 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
3896 | + for (jb = 0; jb < nb; jb++) | |
3897 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
3898 | + } | |
3899 | + libtetrabz_polstat2(nb, ei2, ej2, w2); | |
3900 | + for (i4 = 0; i4 < 4; i4++) | |
3901 | + for (jb = 0; jb < nb; jb++) | |
3902 | + for (j4 = 0; j4 < 4; j4++) | |
3903 | + w1[ib][indx[i4]][jb] += v * tsmall[i4][j4] * w2[jb][j4]; | |
3904 | + } | |
3905 | + } | |
3906 | + else if (e[1] <= 0.0 && 0.0 < e[2]) { | |
3907 | + | |
3908 | + libtetrabz_tsmall_b1(e, 0.0, &v, tsmall); | |
3909 | + | |
3910 | + if (v > thr) { | |
3911 | + for (j4 = 0; j4 < 4; j4++) { | |
3912 | + ei2[j4] = 0.0; | |
3913 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
3914 | + } | |
3915 | + for (i4 = 0; i4 < 4; i4++) | |
3916 | + for (j4 = 0; j4 < 4; j4++) { | |
3917 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
3918 | + for (jb = 0; jb < nb; jb++) | |
3919 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
3920 | + } | |
3921 | + libtetrabz_polstat2(nb, ei2, ej2, w2); | |
3922 | + for (i4 = 0; i4 < 4; i4++) | |
3923 | + for (jb = 0; jb < nb; jb++) | |
3924 | + for (j4 = 0; j4 < 4; j4++) | |
3925 | + w1[ib][indx[i4]][jb] += v * tsmall[i4][j4] * w2[jb][j4]; | |
3926 | + } | |
3927 | + | |
3928 | + libtetrabz_tsmall_b2(e, 0.0, &v, tsmall); | |
3929 | + | |
3930 | + if (v > thr) { | |
3931 | + for (j4 = 0; j4 < 4; j4++) { | |
3932 | + ei2[j4] = 0.0; | |
3933 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
3934 | + } | |
3935 | + for (i4 = 0; i4 < 4; i4++) | |
3936 | + for (j4 = 0; j4 < 4; j4++) { | |
3937 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
3938 | + for (jb = 0; jb < nb; jb++) | |
3939 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
3940 | + } | |
3941 | + libtetrabz_polstat2(nb, ei2, ej2, w2); | |
3942 | + for (i4 = 0; i4 < 4; i4++) | |
3943 | + for (jb = 0; jb < nb; jb++) | |
3944 | + for (j4 = 0; j4 < 4; j4++) | |
3945 | + w1[ib][indx[i4]][jb] += v * tsmall[i4][j4] * w2[jb][j4]; | |
3946 | + } | |
3947 | + | |
3948 | + libtetrabz_tsmall_b3(e, 0.0, &v, tsmall); | |
3949 | + | |
3950 | + if (v > thr) { | |
3951 | + for (j4 = 0; j4 < 4; j4++) { | |
3952 | + ei2[j4] = 0.0; | |
3953 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
3954 | + } | |
3955 | + for (i4 = 0; i4 < 4; i4++) | |
3956 | + for (j4 = 0; j4 < 4; j4++) { | |
3957 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
3958 | + for (jb = 0; jb < nb; jb++) | |
3959 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
3960 | + } | |
3961 | + libtetrabz_polstat2(nb, ei2, ej2, w2); | |
3962 | + for (i4 = 0; i4 < 4; i4++) | |
3963 | + for (jb = 0; jb < nb; jb++) | |
3964 | + for (j4 = 0; j4 < 4; j4++) | |
3965 | + w1[ib][indx[i4]][jb] += v * tsmall[i4][j4] * w2[jb][j4]; | |
3966 | + } | |
3967 | + } | |
3968 | + else if (e[2] <= 0.0 && 0.0 < e[3]) { | |
3969 | + | |
3970 | + libtetrabz_tsmall_c1(e, 0.0, &v, tsmall); | |
3971 | + | |
3972 | + if (v > thr) { | |
3973 | + for (j4 = 0; j4 < 4; j4++) { | |
3974 | + ei2[j4] = 0.0; | |
3975 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
3976 | + } | |
3977 | + for (i4 = 0; i4 < 4; i4++) | |
3978 | + for (j4 = 0; j4 < 4; j4++) { | |
3979 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
3980 | + for (jb = 0; jb < nb; jb++) | |
3981 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
3982 | + } | |
3983 | + libtetrabz_polstat2(nb, ei2, ej2, w2); | |
3984 | + for (i4 = 0; i4 < 4; i4++) | |
3985 | + for (jb = 0; jb < nb; jb++) | |
3986 | + for (j4 = 0; j4 < 4; j4++) | |
3987 | + w1[ib][indx[i4]][jb] += v * tsmall[i4][j4] * w2[jb][j4]; | |
3988 | + } | |
3989 | + | |
3990 | + libtetrabz_tsmall_c2(e, 0.0, &v, tsmall); | |
3991 | + | |
3992 | + if (v > thr) { | |
3993 | + for (j4 = 0; j4 < 4; j4++) { | |
3994 | + ei2[j4] = 0.0; | |
3995 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
3996 | + } | |
3997 | + for (i4 = 0; i4 < 4; i4++) | |
3998 | + for (j4 = 0; j4 < 4; j4++) { | |
3999 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
4000 | + for (jb = 0; jb < nb; jb++) | |
4001 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
4002 | + } | |
4003 | + libtetrabz_polstat2(nb, ei2, ej2, w2); | |
4004 | + for (i4 = 0; i4 < 4; i4++) | |
4005 | + for (jb = 0; jb < nb; jb++) | |
4006 | + for (j4 = 0; j4 < 4; j4++) | |
4007 | + w1[ib][indx[i4]][jb] += v * tsmall[i4][j4] * w2[jb][j4]; | |
4008 | + } | |
4009 | + | |
4010 | + libtetrabz_tsmall_c3(e, 0.0, &v, tsmall); | |
4011 | + | |
4012 | + if (v > thr) { | |
4013 | + for (j4 = 0; j4 < 4; j4++) { | |
4014 | + ei2[j4] = 0.0; | |
4015 | + for (jb = 0; jb < nb; jb++) ej2[jb][j4] = 0.0; | |
4016 | + } | |
4017 | + for (i4 = 0; i4 < 4; i4++) | |
4018 | + for (j4 = 0; j4 < 4; j4++) { | |
4019 | + ei2[j4] += ei1[indx[i4]][ib] * tsmall[i4][j4]; | |
4020 | + for (jb = 0; jb < nb; jb++) | |
4021 | + ej2[jb][j4] += ej1[indx[i4]][jb] * tsmall[i4][j4]; | |
4022 | + } | |
4023 | + libtetrabz_polstat2(nb, ei2, ej2, w2); | |
4024 | + for (i4 = 0; i4 < 4; i4++) | |
4025 | + for (jb = 0; jb < nb; jb++) | |
4026 | + for (j4 = 0; j4 < 4; j4++) | |
4027 | + w1[ib][indx[i4]][jb] += v * tsmall[i4][j4] * w2[jb][j4]; | |
4028 | + } | |
4029 | + } | |
4030 | + else if (e[3] <= 0.0) { | |
4031 | + for (i4 = 0; i4 < 4; i4++) { | |
4032 | + ei2[i4] = ei1[i4][ib]; | |
4033 | + for (jb = 0; jb < nb; jb++) | |
4034 | + ej2[jb][i4] = ej1[i4][jb]; | |
4035 | + } | |
4036 | + libtetrabz_polstat2(nb, ei2, ej2, w2); | |
4037 | + for (i4 = 0; i4 < 4; i4++) | |
4038 | + for (jb = 0; jb < nb; jb++) | |
4039 | + w1[ib][i4][jb] += w2[jb][i4]; | |
4040 | + } | |
4041 | + else { | |
4042 | + continue; | |
4043 | + } | |
4044 | + } | |
4045 | + for (i20 = 0; i20 < 20; i20++) | |
4046 | + for (ib = 0; ib < nb; ib++) | |
4047 | + for (i4 = 0; i4 < 4; i4++) | |
4048 | + for (jb = 0; jb < nb; jb++) | |
4049 | + wght[ikv[it][i20]][ib][jb] += wlsm[i20][i4] * w1[ib][i4][jb]; | |
4050 | + } | |
4051 | + for (ik = 0; ik < nk; ik++) | |
4052 | + for (ib = 0; ib < nb; ib++) | |
4053 | + for (jb = 0; jb < nb; jb++) | |
4054 | + wght[ik][ib][jb] /= (6.0 * (double) nk); | |
4055 | + | |
4056 | + free(ikv[0]); | |
4057 | + free(ikv); | |
4058 | + free(ei1[0]); | |
4059 | + free(ei1); | |
4060 | + free(ej1[0]); | |
4061 | + free(ej1); | |
4062 | + free(ej2[0]); | |
4063 | + free(ej2); | |
4064 | + free(w1[0][0]); | |
4065 | + free(w1[0]); | |
4066 | + free(w1); | |
4067 | + free(w2[0]); | |
4068 | + free(w2); | |
4069 | + /* | |
4070 | + Convert weight to python list object | |
4071 | + */ | |
4072 | + wght_po = PyList_New(nk * nb * nb); | |
4073 | + ierr = 0; | |
4074 | + for (ik = 0; ik < nk; ik++) | |
4075 | + for (ib = 0; ib < nb; ib++) | |
4076 | + for (jb = 0; jb < nb; jb++) | |
4077 | + ierr = PyList_SetItem(wght_po, ik * nb * nb + ib * nb + jb, PyFloat_FromDouble(wght[ik][ib][jb])); | |
4078 | + if (ierr != 0)printf("Error in PyList_SetItem\n"); | |
4079 | + | |
4080 | + free(eig1[0]); | |
4081 | + free(eig1); | |
4082 | + free(eig2[0]); | |
4083 | + free(eig2); | |
4084 | + free(wght[0][0]); | |
4085 | + free(wght[0]); | |
4086 | + free(wght); | |
4087 | + | |
4088 | + return wght_po; | |
4089 | +} | |
4090 | +static PyMethodDef LibTetraBZCMethods[] = { | |
4091 | + {"dos_c", dos_c, METH_VARARGS, "Density of States"}, | |
4092 | + {"intdos_c", intdos_c, METH_VARARGS, "Integrated density of States"}, | |
4093 | + {"occ_c", occ_c, METH_VARARGS, "Occupations"}, | |
4094 | + {"fermieng_c", fermieng_c, METH_VARARGS, "Fermi energy"}, | |
4095 | + {"dbldelta_c", dbldelta_c, METH_VARARGS, "Double delta"}, | |
4096 | + {"dblstep_c", dblstep_c, METH_VARARGS, "Double step function"}, | |
4097 | + {"polstat_c", polstat_c, METH_VARARGS, "Static polarization function"}, | |
4098 | + {"fermigr_c", fermigr_c, METH_VARARGS, "Fermi's golden rule"}, | |
4099 | + {"polcmplx_c", polcmplx_c, METH_VARARGS, "Dynamical polarization function on complex frequency"}, | |
4100 | + {NULL, NULL, 0, NULL} /* Sentinel */ | |
4101 | +}; | |
4102 | + | |
4103 | +static struct PyModuleDef libtetrabzcmodule = { | |
4104 | + PyModuleDef_HEAD_INIT, | |
4105 | + "libtetrabzc", /* name of module */ | |
4106 | + NULL, /* module documentation, may be NULL */ | |
4107 | + -1, /* size of per-interpreter state of the module, | |
4108 | + or -1 if the module keeps state in global variables. */ | |
4109 | + LibTetraBZCMethods | |
4110 | +}; | |
4111 | + | |
4112 | +PyMODINIT_FUNC | |
4113 | +PyInit_libtetrabzc(void) | |
4114 | +{ | |
4115 | + return PyModule_Create(&libtetrabzcmodule); | |
4116 | +} |