forked from pmla/polyhedral-template-matching
-
Notifications
You must be signed in to change notification settings - Fork 0
/
index_ptm.cpp
466 lines (383 loc) · 13.2 KB
/
index_ptm.cpp
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <string.h>
#include <cmath>
#include <cfloat>
#include <cassert>
#include "convex_hull_incremental.hpp"
#include "canonical.hpp"
#include "graph_data.hpp"
#include "deformation_gradient.hpp"
#include "alloy_types.hpp"
#include "neighbour_ordering.hpp"
#include "normalize_vertices.hpp"
#include "fundamental_mappings.hpp"
#include "qcprot/qcprot.hpp"
#include "qcprot/quat.hpp"
#include "polar_decomposition.hpp"
#include "index_ptm.h"
#define MIN(X, Y) (((X) < (Y)) ? (X) : (Y))
#define MAX(X, Y) (((X) > (Y)) ? (X) : (Y))
typedef struct
{
int type;
int num_nbrs;
int num_facets;
int max_degree;
int num_graphs;
graph_t* graphs;
const double (*points)[3];
const double (*penrose)[3];
const int8_t (*mapping)[15];
} refdata_t;
typedef struct
{
double rmsd;
double scale;
double q[4]; //rotation in quaternion form (rigid body transformation)
int8_t mapping[15];
refdata_t* ref_struct;
} result_t;
//refdata_t structure_sc = { .type = PTM_MATCH_SC, .num_nbrs = 6, .num_facets = 8, .max_degree = 4, .num_graphs = NUM_SC_GRAPHS, .graphs = graphs_sc, .points = ptm_template_sc, .penrose = penrose_sc , .mapping = mapping_sc };
refdata_t structure_sc = { PTM_MATCH_SC, 6, 8, 4, NUM_SC_GRAPHS, graphs_sc, ptm_template_sc, penrose_sc , mapping_sc };
refdata_t structure_fcc = { PTM_MATCH_FCC, 12, 20, 6, NUM_FCC_GRAPHS, graphs_fcc, ptm_template_fcc, penrose_fcc, mapping_fcc};
refdata_t structure_hcp = { PTM_MATCH_HCP, 12, 20, 6, NUM_HCP_GRAPHS, graphs_hcp, ptm_template_hcp, penrose_hcp, mapping_hcp};
refdata_t structure_ico = { PTM_MATCH_ICO, 12, 20, 6, NUM_ICO_GRAPHS, graphs_ico, ptm_template_ico, penrose_ico, mapping_ico};
refdata_t structure_bcc = { PTM_MATCH_BCC, 14, 24, 8, NUM_BCC_GRAPHS, graphs_bcc, ptm_template_bcc, penrose_bcc, mapping_bcc};
static int graph_degree(int num_facets, int8_t facets[][3], int num_nodes, int8_t* degree)
{
memset(degree, 0, sizeof(int8_t) * num_nodes);
for (int i = 0;i<num_facets;i++)
{
int a = facets[i][0];
int b = facets[i][1];
int c = facets[i][2];
degree[a]++;
degree[b]++;
degree[c]++;
}
int8_t max_degree = 0;
for (int i = 0;i<num_nodes;i++)
max_degree = MAX(max_degree, degree[i]);
return max_degree;
}
static void make_facets_clockwise(int num_facets, int8_t (*facets)[3], const double (*points)[3])
{
double plane_normal[3];
double origin[3] = {0, 0, 0};
for (int i = 0;i<num_facets;i++)
add_facet(points, facets[i][0], facets[i][1], facets[i][2], facets[i], plane_normal, origin);
}
static int initialize_graphs(refdata_t* s)
{
for (int i = 0;i<s->num_graphs;i++)
{
int8_t degree[PTM_MAX_NBRS];
int _max_degree = graph_degree(s->num_facets, s->graphs[i].facets, s->num_nbrs, degree);
assert(_max_degree <= s->max_degree);
make_facets_clockwise(s->num_facets, s->graphs[i].facets, &s->points[1]);
int ret = canonical_form(s->num_facets, s->graphs[i].facets, s->num_nbrs, degree, s->graphs[i].canonical_labelling, &s->graphs[i].hash);
if (ret != 0)
return ret;
}
return PTM_NO_ERROR;
}
bool ptm_initialized = false;
int ptm_initialize_global()
{
if (ptm_initialized)
return PTM_NO_ERROR;
int ret = initialize_graphs(&structure_sc);
ret |= initialize_graphs(&structure_fcc);
ret |= initialize_graphs(&structure_hcp);
ret |= initialize_graphs(&structure_ico);
ret |= initialize_graphs(&structure_bcc);
if (ret == PTM_NO_ERROR)
ptm_initialized = true;
return ret;
}
static void check_graphs( refdata_t* s,
uint64_t hash,
int8_t* canonical_labelling,
double (*normalized)[3],
result_t* res)
{
int num_points = s->num_nbrs + 1;
const double (*ideal_points)[3] = s->points;
int8_t inverse_labelling[PTM_MAX_POINTS];
int8_t mapping[PTM_MAX_POINTS];
for (int i=0; i<num_points; i++)
inverse_labelling[ canonical_labelling[i] ] = i;
double G1 = 0, G2 = 0;
for (int i=0;i<num_points;i++)
{
double x1 = ideal_points[i][0];
double y1 = ideal_points[i][1];
double z1 = ideal_points[i][2];
double x2 = normalized[i][0];
double y2 = normalized[i][1];
double z2 = normalized[i][2];
G1 += x1 * x1 + y1 * y1 + z1 * z1;
G2 += x2 * x2 + y2 * y2 + z2 * z2;
}
double E0 = (G1 + G2) / 2;
for (int i = 0;i<s->num_graphs;i++)
{
if (hash == s->graphs[i].hash)
{
graph_t* gref = &s->graphs[i];
for (int j = 0;j<gref->num_automorphisms;j++)
{
for (int k=0;k<num_points;k++)
mapping[automorphisms[gref->automorphism_index + j][k]] = inverse_labelling[ gref->canonical_labelling[k] ];
double A0[9], q[4], rmsd;
InnerProduct(A0, num_points, ideal_points, normalized, mapping);
double rot[9];
FastCalcRMSDAndRotation(q, A0, &rmsd, E0, num_points, -1, rot);
double k0 = 0;
for (int ii=0;ii<num_points;ii++)
{
for (int jj=0;jj<3;jj++)
{
double v = 0.0;
for (int kk=0;kk<3;kk++)
v += rot[jj*3+kk] * ideal_points[ii][kk];
k0 += v * normalized[mapping[ii]][jj];
}
}
double scale = k0 / G2;
rmsd = sqrt(fabs(G1 - scale*k0) / num_points);
if (rmsd < res->rmsd)
{
res->rmsd = rmsd;
res->scale = scale;
res->ref_struct = s;
memcpy(res->q, q, 4 * sizeof(double));
memcpy(res->mapping, mapping, sizeof(int8_t) * num_points);
}
}
}
}
}
static int match_general(refdata_t* s, double (*ch_points)[3], double* points, convexhull_t* ch, result_t* res)
{
int8_t degree[PTM_MAX_NBRS];
int8_t facets[PTM_MAX_FACETS][3];
int ret = get_convex_hull(s->num_nbrs + 1, (const double (*)[3])ch_points, s->num_facets, ch, facets);
ch->ok = ret == 0;
#ifdef DEBUG
printf("s->type: %d\tret: %d\n", s->type, ret);
#endif
if (ret != 0)
return PTM_NO_ERROR;
int max_degree = graph_degree(s->num_facets, facets, s->num_nbrs, degree);
if (max_degree > s->max_degree)
return PTM_NO_ERROR;
if (s->type == PTM_MATCH_SC)
for (int i = 0;i<s->num_nbrs;i++)
if (degree[i] != 4)
return PTM_NO_ERROR;
double normalized[PTM_MAX_POINTS][3];
subtract_barycentre(s->num_nbrs + 1, points, normalized);
int8_t canonical_labelling[PTM_MAX_POINTS];
uint64_t hash = 0;
ret = canonical_form(s->num_facets, facets, s->num_nbrs, degree, canonical_labelling, &hash);
if (ret != PTM_NO_ERROR)
return ret;
#ifdef DEBUG
printf("hash: %lx\n", hash);
printf("degree:\t");
for (int i = 0;i<s->num_nbrs;i++)
printf("%2d ", degree[i]);
printf("\n");
#endif
check_graphs(s, hash, canonical_labelling, normalized, res);
return PTM_NO_ERROR;
}
static int match_fcc_hcp_ico(double (*ch_points)[3], double* points, int32_t flags, convexhull_t* ch, result_t* res)
{
int num_nbrs = structure_fcc.num_nbrs;
int num_facets = structure_fcc.num_facets;
int max_degree = structure_fcc.max_degree;
int8_t degree[PTM_MAX_NBRS];
int8_t facets[PTM_MAX_FACETS][3];
int ret = get_convex_hull(num_nbrs + 1, (const double (*)[3])ch_points, num_facets, ch, facets);
ch->ok = ret == 0;
#ifdef DEBUG
printf("s->type: %d\tret: %d\n", 2, ret);
#endif
if (ret != 0)
return PTM_NO_ERROR;
int _max_degree = graph_degree(num_facets, facets, num_nbrs, degree);
if (_max_degree > max_degree)
return PTM_NO_ERROR;
double normalized[PTM_MAX_POINTS][3];
subtract_barycentre(num_nbrs + 1, points, normalized);
int8_t canonical_labelling[PTM_MAX_POINTS];
uint64_t hash = 0;
ret = canonical_form(num_facets, facets, num_nbrs, degree, canonical_labelling, &hash);
if (ret != PTM_NO_ERROR)
return ret;
#ifdef DEBUG
printf("hash: %lx\n", hash);
printf("degree:\t");
for (int i = 0;i<num_nbrs;i++)
printf("%2d ", degree[i]);
printf("\n");
#endif
if (flags & PTM_CHECK_FCC) check_graphs(&structure_fcc, hash, canonical_labelling, normalized, res);
if (flags & PTM_CHECK_HCP) check_graphs(&structure_hcp, hash, canonical_labelling, normalized, res);
if (flags & PTM_CHECK_ICO) check_graphs(&structure_ico, hash, canonical_labelling, normalized, res);
return PTM_NO_ERROR;
}
/*static double calculate_lattice_constant(int type, double scale)
{
assert(type >= 1 && type <= 5);
double c[6] = {0, 2 / sqrt(2), 2 / sqrt(2), 14. / sqrt(3) - 7, 2 / sqrt(2), 1};
return c[type] / scale;
}*/
static double calculate_lattice_constant(int type, double interatomic_distance)
{
assert(type >= 1 && type <= 5);
double c[6] = {0, 2 / sqrt(2), 2 / sqrt(2), 2. / sqrt(3), 2 / sqrt(2), 1};
return c[type] * interatomic_distance;
}
static double calculate_interatomic_distance(int type, double scale)
{
assert(type >= 1 && type <= 5);
double c[6] = {0, 1, 1, (7. - 3.5 * sqrt(3)), 1, 1};
return c[type] / scale;
}
int ptm_index( ptm_local_handle_t local_handle, int num_points, double* unpermuted_points, int32_t* unpermuted_numbers, int32_t flags, bool topological_ordering,
int32_t* p_type, int32_t* p_alloy_type, double* p_scale, double* p_rmsd, double* q, double* F, double* F_res, double* U, double* P, int8_t* mapping, double* p_interatomic_distance, double* p_lattice_constant)
{
if (flags & PTM_CHECK_SC)
assert(num_points >= structure_sc.num_nbrs + 1);
if (flags & PTM_CHECK_BCC)
assert(num_points >= structure_bcc.num_nbrs + 1);
if (flags & (PTM_CHECK_FCC | PTM_CHECK_HCP | PTM_CHECK_ICO))
assert(num_points >= structure_fcc.num_nbrs + 1);
#define MAX_INPUT_POINTS 19
assert(num_points <= MAX_INPUT_POINTS);
int ret = 0;
double ch_points[MAX_INPUT_POINTS][3];
int8_t ordering[MAX_INPUT_POINTS];
if (topological_ordering)
{
normalize_vertices(num_points, unpermuted_points, ch_points);
ret = calculate_neighbour_ordering((void*)local_handle, num_points, (const double (*)[3])ch_points, ordering);
if (ret != 0)
topological_ordering = false;
}
if (!topological_ordering)
for (int i=0;i<num_points;i++)
ordering[i] = i;
double points[PTM_MAX_POINTS][3];
int32_t numbers[PTM_MAX_POINTS];
num_points = MIN(15, num_points);
for (int i=0;i<num_points;i++)
{
memcpy(points[i], &unpermuted_points[3 * ordering[i]], 3 * sizeof(double));
if (unpermuted_numbers != NULL)
numbers[i] = unpermuted_numbers[ordering[i]];
}
convexhull_t ch;
ch.ok = false;
normalize_vertices(num_points, (double*)points, ch_points);
#ifdef DEBUG
for (int i = 0;i<num_points;i++)
printf("%.2f\t%.2f\t%.2f\n", unpermuted_points[i*3 + 0], unpermuted_points[i*3 + 1], unpermuted_points[i*3 + 2]);
#endif
result_t res;
res.ref_struct = NULL;
res.rmsd = INFINITY;
*p_type = PTM_MATCH_NONE;
if (p_alloy_type != NULL)
*p_alloy_type = PTM_ALLOY_NONE;
if (mapping != NULL)
memset(mapping, -1, num_points * sizeof(int8_t));
if (flags & PTM_CHECK_SC)
{
ret = match_general(&structure_sc, ch_points, (double*)points, &ch, &res);
//if (ret != PTM_NO_ERROR)
// return ret;
#ifdef DEBUG
printf("match sc ret: %d\t%p\n", ret, res.ref_struct);
#endif
}
if (flags & (PTM_CHECK_FCC | PTM_CHECK_HCP | PTM_CHECK_ICO))
{
ret = match_fcc_hcp_ico(ch_points, (double*)points, flags, &ch, &res);
//if (ret != PTM_NO_ERROR)
// return ret;
#ifdef DEBUG
printf("match fcc ret: %d\t%p\n", ret, res.ref_struct);
#endif
}
if (flags & PTM_CHECK_BCC)
{
ret = match_general(&structure_bcc, ch_points, (double*)points, &ch, &res);
//if (ret != PTM_NO_ERROR)
// return ret;
#ifdef DEBUG
printf("match bcc ret: %d\t%p\n", ret, res.ref_struct);
#endif
}
refdata_t* ref = res.ref_struct;
if (ref != NULL)
{
*p_type = ref->type;
if (p_alloy_type != NULL && unpermuted_numbers != NULL)
{
if (ref->type == PTM_MATCH_FCC)
*p_alloy_type = find_fcc_alloy_type(res.mapping, numbers);
else if (ref->type == PTM_MATCH_BCC)
*p_alloy_type = find_bcc_alloy_type(res.mapping, numbers);
}
int bi = -1;
if (ref->type == PTM_MATCH_SC) bi = rotate_quaternion_into_cubic_fundamental_zone(res.q);
else if (ref->type == PTM_MATCH_FCC) bi = rotate_quaternion_into_cubic_fundamental_zone(res.q);
else if (ref->type == PTM_MATCH_BCC) bi = rotate_quaternion_into_cubic_fundamental_zone(res.q);
else if (ref->type == PTM_MATCH_ICO) bi = rotate_quaternion_into_icosahedral_fundamental_zone(res.q);
else if (ref->type == PTM_MATCH_HCP) bi = rotate_quaternion_into_hcp_fundamental_zone(res.q);
int8_t temp[15];
for (int i=0;i<ref->num_nbrs+1;i++)
temp[ref->mapping[bi][i]] = res.mapping[i];
memcpy(res.mapping, temp, (ref->num_nbrs+1) * sizeof(int8_t));
if (F != NULL && F_res != NULL)
{
subtract_barycentre(ref->num_nbrs + 1, (double*)points, ch_points);
for (int i = 0;i<ref->num_nbrs + 1;i++)
{
ch_points[i][0] *= res.scale;
ch_points[i][1] *= res.scale;
ch_points[i][2] *= res.scale;
}
calculate_deformation_gradient(ref->num_nbrs + 1, ref->points, res.mapping, ch_points, ref->penrose, F, F_res);
if (P != NULL && U != NULL)
polar_decomposition_3x3(F, false, U, P);
}
if (mapping != NULL)
for (int i=0;i<ref->num_nbrs + 1;i++)
mapping[i] = ordering[res.mapping[i]];
double interatomic_distance = calculate_interatomic_distance(ref->type, res.scale);
double lattice_constant = calculate_lattice_constant(ref->type, interatomic_distance);
if (p_interatomic_distance != NULL)
*p_interatomic_distance = interatomic_distance;
if (p_lattice_constant != NULL)
*p_lattice_constant = lattice_constant;
}
*p_rmsd = res.rmsd;
*p_scale = res.scale;
memcpy(q, res.q, 4 * sizeof(double));
return PTM_NO_ERROR;
}
ptm_local_handle_t ptm_initialize_local()
{
return (ptm_local_handle_t)voronoi_initialize_local();
}
void ptm_uninitialize_local(ptm_local_handle_t ptr)
{
voronoi_uninitialize_local(ptr);
}