20namespace layer3_group_actions {
29static long int permutation_representation_group_element_image_of(action &A,
long int a,
30 void *elt,
int verbose_level);
31static void permutation_representation_group_element_image_of_low_level(action &A,
32 int *input,
int *output,
void *elt,
int verbose_level);
33static int permutation_representation_group_element_linear_entry_ij(action &A,
34 void *elt,
int i,
int j,
int verbose_level);
35static int permutation_representation_group_element_linear_entry_frobenius(action &A,
36 void *elt,
int verbose_level);
37static void permutation_representation_group_element_one(action &A,
38 void *elt,
int verbose_level);
39static int permutation_representation_group_element_is_one(action &A,
40 void *elt,
int verbose_level);
41static void permutation_representation_group_element_unpack(action &A,
42 void *elt,
void *Elt,
int verbose_level);
43static void permutation_representation_group_element_pack(action &A,
44 void *Elt,
void *elt,
int verbose_level);
45static void permutation_representation_group_element_retrieve(action &A,
46 int hdl,
void *elt,
int verbose_level);
47static int permutation_representation_group_element_store(action &A,
48 void *elt,
int verbose_level);
49static void permutation_representation_group_element_mult(action &A,
50 void *a,
void *b,
void *ab,
int verbose_level);
51static void permutation_representation_group_element_invert(action &A,
52 void *a,
void *av,
int verbose_level);
53static void permutation_representation_group_element_transpose(action &A,
54 void *a,
void *at,
int verbose_level);
55static void permutation_representation_group_element_move(action &A,
56 void *a,
void *b,
int verbose_level);
57static void permutation_representation_group_element_dispose(action &A,
58 int hdl,
int verbose_level);
59static void permutation_representation_group_element_print(action &A,
60 void *elt, std::ostream &ost);
61static void permutation_representation_group_element_code_for_make_element(
62 action &A,
void *elt,
int *data);
63static void permutation_representation_group_element_print_for_make_element(
64 action &A,
void *elt, std::ostream &ost);
65static void permutation_representation_group_element_print_for_make_element_no_commas(
66 action &A,
void *elt, std::ostream &ost);
67static void permutation_representation_group_element_print_quick(action &A,
68 void *elt, std::ostream &ost);
69static void permutation_representation_group_element_print_latex(action &A,
70 void *elt, std::ostream &ost);
71static void permutation_representation_group_element_print_latex_with_print_point_function(
73 void *elt, std::ostream &ost,
74 void (*point_label)(std::stringstream &sstr,
long int pt,
void *data),
75 void *point_label_data);
76static void permutation_representation_group_element_print_verbose(action &A,
77 void *elt, std::ostream &ost);
78static void permutation_representation_group_print_point(action &A,
79 long int a, std::ostream &ost);
84 label.assign(
"function_pointers_permutation_representation_group");
87 permutation_representation_group_element_image_of_low_level;
90 permutation_representation_group_element_linear_entry_frobenius;
106 permutation_representation_group_element_print_latex_with_print_point_function;
109 permutation_representation_group_element_code_for_make_element;
111 permutation_representation_group_element_print_for_make_element;
113 permutation_representation_group_element_print_for_make_element_no_commas;
119static long int permutation_representation_group_element_image_of(
action &A,
120 long int a,
void *elt,
int verbose_level)
122 int f_v = (verbose_level >= 1);
124 int *Elt = (
int *) elt;
128 cout <<
"permutation_representation_group_element_image_of "
129 "computing image of " << a << endl;
130 cout <<
"verbose_level = " << verbose_level << endl;
135 cout <<
"permutation_representation_group_element_image_of "
136 "image of " << a <<
" is " << b << endl;
141static void permutation_representation_group_element_image_of_low_level(action &A,
142 int *input,
int *output,
void *elt,
int verbose_level)
148 cout <<
"permutation_representation_group_element_image_of_low_level "
152static int permutation_representation_group_element_linear_entry_ij(action &A,
153 void *elt,
int i,
int j,
int verbose_level)
160 cout <<
"permutation_representation_group_element_linear_entry_ij "
161 "does not exist" << endl;
165static int permutation_representation_group_element_linear_entry_frobenius(action &A,
166 void *elt,
int verbose_level)
173 cout <<
"permutation_representation_group_element_linear_entry_frobenius "
174 "does not exist" << endl;
178static void permutation_representation_group_element_one(action &A,
179 void *elt,
int verbose_level)
181 int f_v = (verbose_level >= 1);
182 groups::permutation_representation &P = *A.G.Permutation_representation;
183 int *Elt = (
int *) elt;
186 cout <<
"permutation_representation_group_element_one "
187 "calling element_one" << endl;
192static int permutation_representation_group_element_is_one(action &A,
193 void *elt,
int verbose_level)
195 int f_v = (verbose_level >= 1);
196 groups::permutation_representation &P = *A.G.Permutation_representation;
197 int *Elt = (
int *) elt;
201 cout <<
"permutation_representation_group_element_one calling "
202 "element_is_one" << endl;
204 ret = P.element_is_one(Elt);
207 cout <<
"permutation_representation_group_element_is_one "
208 "returns YES" << endl;
211 cout <<
"permutation_representation_group_element_is_one "
212 "returns NO" << endl;
218static void permutation_representation_group_element_unpack(action &A,
219 void *elt,
void *Elt,
int verbose_level)
221 int f_v = (verbose_level >= 1);
222 groups::permutation_representation &P = *A.G.Permutation_representation;
223 int *Elt1 = (
int *) Elt;
227 cout <<
"permutation_representation_group_element_unpack" << endl;
229 P.element_unpack(elt1, Elt1);
232static void permutation_representation_group_element_pack(action &A,
233 void *Elt,
void *elt,
int verbose_level)
235 int f_v = (verbose_level >= 1);
236 groups::permutation_representation &P = *A.G.Permutation_representation;
237 int *Elt1 = (
int *) Elt;
241 cout <<
"permutation_representation_group_element_pack" << endl;
243 P.element_pack(Elt1, elt1);
246static void permutation_representation_group_element_retrieve(action &A,
247 int hdl,
void *elt,
int verbose_level)
249 int f_v = (verbose_level >= 1);
250 groups::permutation_representation &P = *A.G.Permutation_representation;
251 int *Elt = (
int *) elt;
255 cout <<
"permutation_representation_group_element_"
256 "retrieve hdl = " << hdl << endl;
258 p_elt = P.PS->s_i(hdl);
259 P.element_unpack(p_elt, Elt);
261 P.element_print_easy(Elt, cout);
265static int permutation_representation_group_element_store(action &A,
266 void *elt,
int verbose_level)
268 int f_v = (verbose_level >= 1);
269 groups::permutation_representation &P = *A.G.Permutation_representation;
270 int *Elt = (
int *) elt;
274 cout <<
"permutation_representation_group_element_store" << endl;
276 P.element_pack(Elt, P.elt1);
277 hdl = P.PS->store(P.elt1);
279 cout <<
"permutation_representation_group_element_store "
280 "hdl = " << hdl << endl;
285static void permutation_representation_group_element_mult(action &A,
286 void *a,
void *b,
void *ab,
int verbose_level)
288 int f_v = (verbose_level >= 1);
289 int f_vv = (verbose_level >= 2);
290 groups::permutation_representation &P = *A.G.Permutation_representation;
293 int *AB = (
int *) ab;
296 cout <<
"permutation_representation_group_element_mult" << endl;
299 cout <<
"A=" << endl;
300 P.element_print_easy(AA, cout);
301 cout <<
"B=" << endl;
302 P.element_print_easy(BB, cout);
304 P.element_mult(AA, BB, AB, verbose_level - 2);
306 cout <<
"permutation_representation_group_element_mult done" << endl;
309 cout <<
"AB=" << endl;
310 P.element_print_easy(AB, cout);
314static void permutation_representation_group_element_invert(action &A,
315 void *a,
void *av,
int verbose_level)
317 int f_v = (verbose_level >= 1);
318 int f_vv = (verbose_level >= 2);
319 groups::permutation_representation &P = *A.G.Permutation_representation;
321 int *AAv = (
int *) av;
324 cout <<
"permutation_representation_group_element_invert" << endl;
327 cout <<
"A=" << endl;
328 P.element_print_easy(AA, cout);
330 P.element_invert(AA, AAv, verbose_level - 1);
332 cout <<
"permutation_representation_group_element_invert done" << endl;
335 cout <<
"Av=" << endl;
336 P.element_print_easy(AAv, cout);
340static void permutation_representation_group_element_transpose(action &A,
341 void *a,
void *at,
int verbose_level)
349 cout <<
"permutation_representation_group_element_transpose "
350 "not yet implemented" << endl;
354static void permutation_representation_group_element_move(action &A,
355 void *a,
void *b,
int verbose_level)
357 int f_v = (verbose_level >= 1);
358 groups::permutation_representation &P = *A.G.Permutation_representation;
363 cout <<
"permutation_representation_group_element_move" << endl;
365 P.element_move(AA, BB, 0 );
368static void permutation_representation_group_element_dispose(action &A,
369 int hdl,
int verbose_level)
371 int f_v = (verbose_level >= 1);
372 groups::permutation_representation &P = *A.G.Permutation_representation;
375 cout <<
"permutation_representation_group_element_dispose "
376 "hdl = " << hdl << endl;
381static void permutation_representation_group_element_print(action &A,
382 void *elt, ostream &ost)
384 groups::permutation_representation &P = *A.G.Permutation_representation;
385 int *Elt = (
int *) elt;
388 P.element_print_easy(Elt, ost);
392static void permutation_representation_group_element_code_for_make_element(action &A,
393 void *elt,
int *data)
398 cout <<
"permutation_representation_group_element_code_for_make_element "
399 "not yet implemented" << endl;
403static void permutation_representation_group_element_print_for_make_element(action &A,
404 void *elt, ostream &ost)
406 groups::permutation_representation &P = *A.G.Permutation_representation;
407 int *Elt = (
int *) elt;
410 P.element_print_for_make_element(Elt, ost);
413static void permutation_representation_group_element_print_for_make_element_no_commas(
414 action &A,
void *elt, ostream &ost)
419 cout <<
"permutation_representation_group_element_print_for_make_element_no_commas "
420 "not yet implemented" << endl;
424static void permutation_representation_group_element_print_quick(
425 action &A,
void *elt, ostream &ost)
427 groups::permutation_representation &P = *A.G.Permutation_representation;
428 int *Elt = (
int *) elt;
431 P.element_print_easy(Elt, ost);
434static void permutation_representation_group_element_print_latex(
435 action &A,
void *elt, ostream &ost)
437 groups::permutation_representation &P = *A.G.Permutation_representation;
438 int *Elt = (
int *) elt;
441 P.element_print_latex(Elt, ost);
444static void permutation_representation_group_element_print_latex_with_print_point_function(
446 void *elt, std::ostream &ost,
447 void (*point_label)(std::stringstream &sstr,
long int pt,
void *data),
448 void *point_label_data)
450 cout <<
"permutation_representation_group_element_print_latex_with_print_point_function "
451 "not yet implemented" << endl;
455static void permutation_representation_group_element_print_verbose(
456 action &A,
void *elt, ostream &ost)
458 groups::permutation_representation &P = *A.G.Permutation_representation;
459 int *Elt = (
int *) elt;
461 P.element_print_easy(Elt, ost);
465static void permutation_representation_group_print_point(action &A,
long int a, ostream &ost)
469 cout <<
"permutation_representation_group_print_point "
470 "not yet implemented" << endl;
void(* ptr_element_print_for_make_element)(action &A, void *elt, std::ostream &ost)
void(* ptr_element_dispose)(action &A, int hdl, int verbose_level)
int(* ptr_element_linear_entry_frobenius)(action &A, void *elt, int verbose_level)
void(* ptr_element_transpose)(action &A, void *a, void *at, int verbose_level)
void(* ptr_element_print)(action &A, void *elt, std::ostream &ost)
void(* ptr_element_print_latex_with_print_point_function)(action &A, void *elt, std::ostream &ost, void(*point_label)(std::stringstream &sstr, long int pt, void *data), void *point_label_data)
void(* ptr_element_print_quick)(action &A, void *elt, std::ostream &ost)
int(* ptr_element_linear_entry_ij)(action &A, void *elt, int i, int j, int verbose_level)
void(* ptr_element_unpack)(action &A, void *elt, void *Elt, int verbose_level)
void(* ptr_element_move)(action &A, void *a, void *b, int verbose_level)
void(* ptr_element_image_of_low_level)(action &A, int *input, int *output, void *elt, int verbose_level)
int(* ptr_element_is_one)(action &A, void *elt, int verbose_level)
void init_function_pointers_permutation_representation_group()
long int(* ptr_element_image_of)(action &A, long int a, void *elt, int verbose_level)
void(* ptr_element_print_for_make_element_no_commas)(action &A, void *elt, std::ostream &ost)
void(* ptr_print_point)(action &A, long int i, std::ostream &ost)
void(* ptr_element_invert)(action &A, void *a, void *av, int verbose_level)
void(* ptr_element_print_latex)(action &A, void *elt, std::ostream &ost)
void(* ptr_element_one)(action &A, void *elt, int verbose_level)
void(* ptr_element_print_verbose)(action &A, void *elt, std::ostream &ost)
void(* ptr_element_code_for_make_element)(action &A, void *elt, int *data)
void(* ptr_element_retrieve)(action &A, int hdl, void *elt, int verbose_level)
void(* ptr_element_pack)(action &A, void *Elt, void *elt, int verbose_level)
int(* ptr_element_store)(action &A, void *elt, int verbose_level)
void(* ptr_element_mult)(action &A, void *a, void *b, void *ab, int verbose_level)
a permutation group in a fixed action.
homomorphism to a permutation group
void element_one(int *Elt)
long int element_image_of(int *Elt, long int a, int verbose_level)
the orbiter library for the classification of combinatorial objects
groups::permutation_representation * Permutation_representation