From 575c310cd3bba82e7fe29676794a72a497aea23a Mon Sep 17 00:00:00 2001 From: Florian Stecker Date: Wed, 15 Jun 2022 15:19:38 +0200 Subject: [PATCH] remove irrelevant files --- old/enumerate_triangle_group.c | 335 - old/enumerate_triangle_group.h | 30 - old/singular_values.c | 471 - old/singular_values_barbot.c | 559 - output/max_slope_picture/colors | 14 - output/max_slope_picture/combine_images | 6 - output/max_slope_picture/generate.hs | 69 - .../result_20210419_221603.out | 9900 ---- .../max_slope_picture_billiards/generate.hs | 14 - .../max_slope_highres.plt | 15 - .../max_slopes_billiard | 40500 ---------------- output/max_slope_picture_billiards/words | 132 - output/old/conewidth_5_6_7.png | Bin 134403 -> 0 bytes 13 files changed, 52045 deletions(-) delete mode 100644 old/enumerate_triangle_group.c delete mode 100644 old/enumerate_triangle_group.h delete mode 100644 old/singular_values.c delete mode 100644 old/singular_values_barbot.c delete mode 100644 output/max_slope_picture/colors delete mode 100755 output/max_slope_picture/combine_images delete mode 100644 output/max_slope_picture/generate.hs delete mode 100644 output/max_slope_picture/result_20210419_221603.out delete mode 100644 output/max_slope_picture_billiards/generate.hs delete mode 100644 output/max_slope_picture_billiards/max_slope_highres.plt delete mode 100644 output/max_slope_picture_billiards/max_slopes_billiard delete mode 100644 output/max_slope_picture_billiards/words delete mode 100644 output/old/conewidth_5_6_7.png diff --git a/old/enumerate_triangle_group.c b/old/enumerate_triangle_group.c deleted file mode 100644 index 2c03e7a..0000000 --- a/old/enumerate_triangle_group.c +++ /dev/null @@ -1,335 +0,0 @@ -#include "enumerate_triangle_group.h" -#include "linalg.h" - -int solve_characteristic_polynomial(mps_context *solv, mps_monomial_poly *poly, mpq_t tr, mpq_t trinv, double *eigenvalues) -{ - mpq_t coeff1, coeff2, zero; - cplx_t *roots; - double radii[3]; - double *radii_p[3]; - mps_boolean errors; - int result = 0; - - mpq_inits(coeff1, coeff2, zero, NULL); - mpq_set(coeff1, trinv); - mpq_sub(coeff2, zero, tr); - - mps_monomial_poly_set_coefficient_int(solv, poly, 0, -1, 0); - mps_monomial_poly_set_coefficient_q(solv, poly, 1, coeff1, zero); - mps_monomial_poly_set_coefficient_q(solv, poly, 2, coeff2, zero); - mps_monomial_poly_set_coefficient_int(solv, poly, 3, 1, 0); - - mps_context_set_input_poly(solv, (mps_polynomial*)poly); - mps_mpsolve(solv); - - roots = cplx_valloc(3); - for(int i = 0; i < 3; i++) - radii_p[i] = &(radii[i]); - mps_context_get_roots_d(solv, &roots, radii_p); - errors = mps_context_has_errors(solv); - - if(errors) { - result = 1; - } else { - for(int i = 0; i < 3; i++) { - eigenvalues[i] = cplx_Re(roots[i]); - if(fabs(cplx_Im(roots[i])) > radii[i]) // non-real root - result = 2; - } - } - - cplx_vfree(roots); - mpq_clears(coeff1, coeff2, zero, NULL); - - return result; -} - -void continued_fraction_approximation(mpq_t out, double in, int level) -{ - mpq_t tmp; - - if(in < 0) { - mpq_init(tmp); - mpq_set_ui(tmp, 0, 1); - continued_fraction_approximation(out, -in, level); - mpq_sub(out, tmp, out); - mpq_clear(tmp); - return; - } - - if(level == 0) { - mpq_set_si(out, (signed long int)round(in), 1); // floor(in) - } else { - continued_fraction_approximation(out, 1/(in - floor(in)), level - 1); - mpq_init(tmp); - mpq_set_ui(tmp, 1, 1); - mpq_div(out, tmp, out); // out -> 1/out - mpq_set_si(tmp, (signed long int)in, 1); // floor(in) - mpq_add(out, out, tmp); - mpq_clear(tmp); - } -} - -void quartic(NUMBER out, NUMBER in, int a, int b, int c, int d, int e) -{ - NUMBER tmp; - INIT(tmp, GETTYPE(in)); - - SET_INT(out, a); - - MUL(out, out, in); - SET_INT(tmp, b); - ADD(out, out, tmp); - - MUL(out, out, in); - SET_INT(tmp, c); - ADD(out, out, tmp); - - MUL(out, out, in); - SET_INT(tmp, d); - ADD(out, out, tmp); - - MUL(out, out, in); - SET_INT(tmp, e); - ADD(out, out, tmp); - - CLEAR(tmp); -} - -// discriminant of the polynomial z^3 - x z^2 + y z - 1 -// that is the function x^2 y^2 - 4 x^3 - 4 y^3 - 27 + 18 xy -void discriminant(NUMBER out, NUMBER x, NUMBER y) -{ - TYPE type = GETTYPE(out); - NUMBER x2, x3, y2, y3, tmp; - INIT(x2, type);INIT(x3, type);INIT(y2, type);INIT(y3, type);INIT(tmp, type); - - MUL(x2, x, x); - MUL(x3, x2, x); - MUL(y2, y, y); - MUL(y3, y2, y); - - MUL(out, x2, y2); - - SET_INT(tmp, -4); - MUL(tmp, tmp, x3); - ADD(out, out, tmp); - - SET_INT(tmp, -4); - MUL(tmp, tmp, y3); - ADD(out, out, tmp); - - SET_INT(tmp, -27); - ADD(out, out, tmp); - - SET_INT(tmp, 18); - MUL(tmp, tmp, x); - MUL(tmp, tmp, y); - ADD(out, out, tmp); - - CLEAR(x2);CLEAR(x3);CLEAR(y2);CLEAR(y3);CLEAR(tmp); -} - -void generators_triangle_rotation_generic(mat *gen, NUMBER rho1, NUMBER rho2, NUMBER rho3, mpq_t s, mpq_t q) -{ - mat_workspace *ws; - mat r1,r2,r3; - NUMBER b1,c1,a2,c2,a3,b3; - TYPE type = GETTYPE(rho1); - mpq_t sinv, qinv; - - ws = mat_workspace_init(3, type); - INIT(b1, type);INIT(c1, type);INIT(a2, type);INIT(c2, type);INIT(a3, type);INIT(b3, type); - mpq_init(sinv); - mpq_init(qinv); - mat_init(r1, 3, type); - mat_init(r2, 3, type); - mat_init(r3, 3, type); - - // sinv = s^{-1} - mpq_inv(sinv, s); - mpq_inv(qinv, q); - - // c1 = rho2 q, a2 = rho3 q, b3 = rho1 q, b1 = c2 = a3 = 1/q - SET_Q(c1, q); - SET_Q(a2, q); - SET_Q(b3, q); - MUL(c1, c1, rho2); - MUL(a2, a2, rho3); - MUL(b3, b3, rho1); - SET_INT(b1, 1); - SET_INT(c2, 1); - SET_INT(a3, 1); - SET_Q(b1, qinv); - SET_Q(c2, qinv); - SET_Q(a3, qinv); - - mat_zero(r1); - mat_zero(r2); - mat_zero(r3); - SET_INT(*mat_ref(r1, 0, 0), -1); - SET_INT(*mat_ref(r1, 1, 1), 1); - SET_INT(*mat_ref(r1, 2, 2), 1); - SET_INT(*mat_ref(r2, 0, 0), 1); - SET_INT(*mat_ref(r2, 1, 1), -1); - SET_INT(*mat_ref(r2, 2, 2), 1); - SET_INT(*mat_ref(r3, 0, 0), 1); - SET_INT(*mat_ref(r3, 1, 1), 1); - SET_INT(*mat_ref(r3, 2, 2), -1); - - SET(*mat_ref(r1, 1, 0), b1); - SET(*mat_ref(r1, 2, 0), c1); - SET(*mat_ref(r2, 0, 1), a2); - SET(*mat_ref(r2, 2, 1), c2); - SET(*mat_ref(r3, 0, 2), a3); - SET(*mat_ref(r3, 1, 2), b3); - - mat_zero(gen[0]); - mat_zero(gen[1]); - mat_zero(gen[2]); - - // gen[0] = diag(1,s^{-1},s) - SET_INT(*mat_ref(gen[0], 0, 0), 1); - SET_Q (*mat_ref(gen[0], 1, 1), sinv); - SET_Q (*mat_ref(gen[0], 2, 2), s); - - // gen[1] = diag(s,1,s^{-1}) - SET_Q (*mat_ref(gen[1], 0, 0), s); - SET_INT(*mat_ref(gen[1], 1, 1), 1); - SET_Q (*mat_ref(gen[1], 2, 2), sinv); - - // gen[2] = diag(s^{-1},s,1) - SET_Q (*mat_ref(gen[2], 0, 0), sinv); - SET_Q (*mat_ref(gen[2], 1, 1), s); - SET_INT(*mat_ref(gen[2], 2, 2), 1); - - // gen[0] = r2 * gen[0] * r3 - // gen[1] = r3 * gen[1] * r1 - // gen[2] = r1 * gen[2] * r2 - mat_multiply(ws, gen[0], r2, gen[0]); - mat_multiply(ws, gen[0], gen[0], r3); - mat_multiply(ws, gen[1], r3, gen[1]); - mat_multiply(ws, gen[1], gen[1], r1); - mat_multiply(ws, gen[2], r1, gen[2]); - mat_multiply(ws, gen[2], gen[2], r2); - - // gen[3] = gen[0]^{-1} - // gen[4] = gen[1]^{-1} - // gen[5] = gen[2]^{-1} - mat_pseudoinverse(ws, gen[3], gen[0]); - mat_pseudoinverse(ws, gen[4], gen[1]); - mat_pseudoinverse(ws, gen[5], gen[2]); - - mat_workspace_clear(ws); - CLEAR(b1);CLEAR(c1);CLEAR(a2);CLEAR(c2);CLEAR(a3);CLEAR(b3); - mpq_clear(sinv); - mpq_clear(qinv); - mat_clear(r1); - mat_clear(r2); - mat_clear(r3); -} - -#ifdef QEXT_TRIVIAL -// p1,p2,p3 are only allowed to be 2,3,4,6 -void generators_triangle_rotation_2346_rational(mat *gen, int p1, int p2, int p3, mpq_t s, mpq_t q) -{ - mpq_t rho1, rho2, rho3; - mpq_inits(rho1,rho2,rho3,NULL); - - // rho_i = s^2 + 2s cos(2 pi / p_i) + 1 - // coefficient 2 is the value for p=infinity, not sure if that would even work - quartic(rho1, s, 0, 0, 1, p1 == 2 ? -2 : p1 == 3 ? -1 : p1 == 4 ? 0 : p1 == 6 ? 1 : 2, 1); - quartic(rho2, s, 0, 0, 1, p2 == 2 ? -2 : p2 == 3 ? -1 : p2 == 4 ? 0 : p2 == 6 ? 1 : 2, 1); - quartic(rho3, s, 0, 0, 1, p3 == 2 ? -2 : p3 == 3 ? -1 : p3 == 4 ? 0 : p3 == 6 ? 1 : 2, 1); - - generators_triangle_rotation_generic(gen, rho1, rho2, rho3, s, q); - - mpq_clears(rho1,rho2,rho3,NULL); -} -#endif - -#ifdef QEXT -void generators_triangle_rotation_555_barbot(mat *gen, mpq_t s_, mpq_t q_) -{ - NUMBER rho, c, one, s; - INIT(rho, QT_SQRT5);INIT(c, QT_SQRT5);INIT(one, QT_SQRT5);INIT(s, QT_SQRT5); - - // c = - (1+sqrt(5))/2 - mpq_set_si(c->a[0], -1, 2); - mpq_set_si(c->a[1], -1, 2); - SET_ONE(one); - - SET_Q(s, s_); - - // rho = s^2 + cs + 1 - SET(rho, one); - MUL(rho, rho, s); - ADD(rho, rho, c); - MUL(rho, rho, s); - ADD(rho, rho, one); - - generators_triangle_rotation_generic(gen, rho, rho, rho, s_, q_); - - CLEAR(rho);CLEAR(c);CLEAR(one);CLEAR(s); -} -#endif - -char *print_word(groupelement_t *g, char *str) -{ - int i = g->length - 1; - - str[g->length] = 0; - while(g->parent) { - str[i--] = 'a' + g->letter; - g = g->parent; - } - - return str; -} - -void enumerate_triangle_rotation_subgroup(group_t *group, mat *gen, mat *matrices) -{ - mat_workspace *ws; - mat tmp; - char buf[100], buf2[100], buf3[100]; - - // allocate stuff - TYPE type = GETTYPE(gen[0]->x[0]); - ws = mat_workspace_init(3, type); - mat_init(tmp, 3, type); - -// initialize_triangle_generators(ws, gen, p1, p2, p3, s, q); - - mat_identity(matrices[0]); - for(int i = 1; i < group->size; i++) { - if(group->elements[i].length % 2 != 0) - continue; - if(!group->elements[i].inverse) - continue; - if(!group->elements[i].need_to_compute) - continue; - - int parent = group->elements[i].parent->id; - int grandparent = group->elements[i].parent->parent->id; - int letter; - - if(group->elements[parent].letter == 1 && group->elements[i].letter == 2) - letter = 0; // p = bc - else if(group->elements[parent].letter == 2 && group->elements[i].letter == 0) - letter = 1; // q = ca - else if(group->elements[parent].letter == 0 && group->elements[i].letter == 1) - letter = 2; // r = ab - if(group->elements[parent].letter == 2 && group->elements[i].letter == 1) - letter = 3; // p^{-1} = cb - else if(group->elements[parent].letter == 0 && group->elements[i].letter == 2) - letter = 4; // q^{-1} = ac - else if(group->elements[parent].letter == 1 && group->elements[i].letter == 0) - letter = 5; // r^{-1} = ba - - mat_multiply(ws, matrices[i], matrices[grandparent], gen[letter]); - } - - // free stuff - mat_clear(tmp); - mat_workspace_clear(ws); -} diff --git a/old/enumerate_triangle_group.h b/old/enumerate_triangle_group.h deleted file mode 100644 index bb78d73..0000000 --- a/old/enumerate_triangle_group.h +++ /dev/null @@ -1,30 +0,0 @@ -#ifndef ENUMERATE_TRIANGLE_GROUP_H -#define ENUMERATE_TRIANGLE_GROUP_H - -#include "mat.h" -#include "coxeter.h" - -#include - -// rational only functions -int solve_characteristic_polynomial(mps_context *solv, mps_monomial_poly *poly, mpq_t tr, mpq_t trinv, double *eigenvalues); -void continued_fraction_approximation(mpq_t out, double in, int level); - -// generators -void generators_triangle_rotation_generic(mat *gen, NUMBER rho1, NUMBER rho2, NUMBER rho3, mpq_t s, mpq_t q); - -#ifdef QEXT_TRIVIAL -void generators_triangle_rotation_2346_rational(mat *gen, int p1, int p2, int p3, mpq_t s, mpq_t q); -#endif - -#ifdef QEXT -void generators_triangle_rotation_555_barbot(mat *gen, mpq_t s_, mpq_t q_); -#endif - -// general functions -void quartic(NUMBER out, NUMBER in, int a, int b, int c, int d, int e); -void discriminant(NUMBER out, NUMBER x, NUMBER y); -char *print_word(groupelement_t *g, char *str); -void enumerate_triangle_rotation_subgroup(group_t *group, mat *gen, mat *matrices); - -#endif diff --git a/old/singular_values.c b/old/singular_values.c deleted file mode 100644 index 0c16449..0000000 --- a/old/singular_values.c +++ /dev/null @@ -1,471 +0,0 @@ -#include "coxeter.h" -#include "linalg.h" -#include "mat.h" -#include "enumerate_triangle_group.h" -#include "parallel.h" - -#include - -#define SWAP(t,x,y) do { t _tmp = (x); (x) = (y); (y) = _tmp; } while (0); - -//#define DEBUG(msg, ...) fprintf(stderr, "[%003d%10.3f] " msg, mpi_rank(0), runtime(), ##__VA_ARGS__) -#define DEBUG(msg, ...) -#define INFO(msg, ...) fprintf(stderr, "[%003d%10.3f] " msg, mpi_rank(0), runtime(), ##__VA_ARGS__) - -struct result { - int id; - mpq_t tr; - mpq_t trinv; - double x; - double y; - double slope; -}; - -// we want as much as possible to be node data, except if it is only known to the main node -// (command line arguments) or should only be computed once (id list) - -struct global_data { - // command line arguments - unsigned int nmax; - unsigned int p1, p2, p3; - unsigned int sstart, send, sdenom; - unsigned int qstart, qend, qdenom; - - unsigned int *id_list; - unsigned int id_list_length; -}; - -struct node_data { - group_t *group; - mat* matrices; - struct result *invariants; - struct result **distinct_invariants; - int distinct_invariants_length; - mps_context *solver; -}; - -struct input_data { - unsigned int snum, sden; - unsigned int qnum, qden; -}; - -struct output_data { - int max_slope_id; - double max_slope; -}; - -static int compare_result(const void *a_, const void *b_) -{ - int d = 0; - - struct result **a = (struct result **)a_; - struct result **b = (struct result **)b_; - - d = mpq_cmp((*a)->tr,(*b)->tr); - if(d == 0) { - d = mpq_cmp((*a)->trinv, (*b)->trinv); - } - - return d; -} - -static int compare_result_by_id(const void *a_, const void *b_) -{ - int d = 0; - - struct result **a = (struct result **)a_; - struct result **b = (struct result **)b_; - - return (*a)->id - (*b)->id; -} - -static int compare_result_by_tr_trinv_id(const void *a_, const void *b_) -{ - int d = 0; - - struct result **a = (struct result **)a_; - struct result **b = (struct result **)b_; - - d = mpq_cmp((*a)->tr,(*b)->tr); - if(d == 0) { - d = mpq_cmp((*a)->trinv, (*b)->trinv); - if(d == 0) { - d = (*b)->id - (*a)->id; - } - } - - return d; -} - -static int compare_result_by_slope(const void *a_, const void *b_) -{ - int d = 0; - - struct result **a = (struct result **)a_; - struct result **b = (struct result **)b_; - - double slopea = (*a)->x / (*a)->y; - double slopeb = (*b)->x / (*b)->y; - - return slopea > slopeb ? -1 : slopea < slopeb ? 1 : 0; -} - -int compute_invariants(group_t *group, mat *matrices, struct result **invariants, int *n, int unique) -{ - mpq_t tmp; - mps_context *solver; - mps_monomial_poly *poly; - int index; - int ntraces = *n, nuniq; - int retval; - double evs[3]; - char buf[100]; - -// DEBUG("Compute traces\n"); - for(int i = 0; i < ntraces; i++) { - int id = invariants[i]->id; - int invid = group->elements[id].inverse->id; - mat_trace(invariants[i]->tr, matrices[id]); - mat_trace(invariants[i]->trinv, matrices[invid]); - } - - if(!unique) - nuniq = ntraces; - else { -// DEBUG("Get unique traces\n"); - qsort(invariants, ntraces, sizeof(struct result*), compare_result); - - nuniq = 0; - for(int i = 0; i < ntraces; i++) { - if(i == 0 || compare_result(&invariants[i], &invariants[nuniq-1]) != 0) { - invariants[nuniq] = invariants[i]; - nuniq++; - } else { - int oldlength = group->elements[invariants[nuniq-1]->id].length; - int newlength = group->elements[invariants[i]->id].length; - if(newlength < oldlength) - invariants[nuniq-1]->id = invariants[i]->id; - } - } - } - - DEBUG("Solve characteristic polynomials\n"); - solver = mps_context_new(); - poly = mps_monomial_poly_new(solver, 3); - mps_context_set_output_prec(solver, 20); // relative precision - mps_context_set_output_goal(solver, MPS_OUTPUT_GOAL_APPROXIMATE); - - for(int i = 0; i < nuniq; i++) { - retval = solve_characteristic_polynomial(solver, poly, invariants[i]->tr, invariants[i]->trinv, evs); - - if(retval == 1) { - fprintf(stderr, "Error! Could not solve polynomial.\n"); - continue; - } else if(retval == 2) { - continue; - } - - if(fabs(evs[0]) < fabs(evs[1])) - SWAP(double, evs[0], evs[1]); - if(fabs(evs[1]) < fabs(evs[2])) - SWAP(double, evs[1], evs[2]); - if(fabs(evs[0]) < fabs(evs[1])) - SWAP(double, evs[0], evs[1]); - - double x = log(fabs(evs[0])); - double y = -log(fabs(evs[2])); - - invariants[i]->x = x; - invariants[i]->y = y; - invariants[i]->slope = y/x; - } - mps_context_free(solver); - - qsort(invariants, nuniq, sizeof(struct result*), compare_result_by_id); - - *n = nuniq; - return 0; -} - -long check_memory_usage(mat *matrices, int n) -{ - mpq_t x; - long total; - - for(int i = 0; i < n; i++) - { - LOOP(j,3) LOOP(k,3) { - total += mpq_numref(M(matrices[i], j, k))->_mp_size; - total += mpq_denref(M(matrices[i], j, k))->_mp_size; - } - } - - return total; -} - - -void destroy_node(const void *_g, void *_n) -{ - struct global_data *g = (struct global_data *)_g; - struct node_data *n = (struct node_data *)_n; - - for(int i = 0; i < g->nmax; i++) { - mpq_clear(n->invariants[i].tr); - mpq_clear(n->invariants[i].trinv); - } - free(n->invariants); - free(n->distinct_invariants); - for(int i = 0; i < g->nmax; i++) - mat_clear(n->matrices[i]); - free(n->matrices); - coxeter_clear(n->group); -} - -int init_node(const void *_g, void *_n) -{ - struct global_data *g = (struct global_data *)_g; - struct node_data *n = (struct node_data *)_n; - - DEBUG("Allocate\n"); - g->id_list = (int*)(g+1); // pointers get scrambled by transmission, reconstruct - n->matrices = malloc(g->nmax*sizeof(mat)); - for(int i = 0; i < g->nmax; i++) - mat_init(n->matrices[i], 3); - n->invariants = malloc(g->nmax*sizeof(struct result)); - n->distinct_invariants = malloc(g->nmax*sizeof(struct result)); // we won't need that many, but just in case - for(int i = 0; i < g->nmax; i++) { - mpq_init(n->invariants[i].tr); - mpq_init(n->invariants[i].trinv); - n->invariants[i].id = i; - } - - // order of the triangle reflection generators: a, b, c - // order of the rotation orders: bc, ac, ab - DEBUG("Generate group\n"); - n->group = coxeter_init_triangle(g->p1, g->p2, g->p3, g->nmax); - - return 0; -} - -int process_output(group_t *group, mat *matrices, struct result **invariants, int invariants_length, struct output_data *out) -{ - out->max_slope = 0; - for(int i = 0; i < invariants_length; i++) { - double x = invariants[i]->x; - double y = invariants[i]->y; - - if(y/x > out->max_slope + 1e-12 && (x > 0.1 || y > 0.1)) { - out->max_slope_id = invariants[i]->id; - out->max_slope = y/x; - } - } -} - -int do_computation(const void *_g, void *_n, const void *_in, void *_out) -{ - struct global_data *g = (struct global_data *)_g; - struct node_data *n = (struct node_data *)_n; - struct input_data *in = (struct input_data *)_in; - struct output_data *out = (struct output_data *)_out; - - mpq_t s, q; - - mpq_inits(s, q, NULL); - mpq_set_ui(s, in->snum, in->sden); - mpq_set_ui(q, in->qnum, in->qden); - - INFO("Computing max slope element for s = %d/%d and q = %d/%d.\n", - in->snum, in->sden, - in->qnum, in->qden); - - for(int i = 0; i < n->group->size; i++) - n->group->elements[i].need_to_compute = 0; - n->group->elements[0].need_to_compute = 1; - - int needed_elements = 1; - for(int i = 0; i < g->id_list_length; i++) - { - int id = g->id_list[i]; - n->distinct_invariants[i] = &n->invariants[id]; - groupelement_t *cur = &n->group->elements[id]; - while(cur->need_to_compute == 0) { - cur->need_to_compute = 1; - needed_elements++; - cur = cur->parent->parent; // also need to compute its even-length ancestors - } - cur = n->group->elements[id].inverse; - while(cur->need_to_compute == 0) { - cur->need_to_compute = 1; - needed_elements++; - cur = cur->parent->parent; - } - } - n->distinct_invariants_length = g->id_list_length; - - DEBUG("Need to compute %d elements to get %d traces up to reflection length %d\n", - needed_elements, g->id_list_length, n->group->elements[n->group->size-1].length); - - DEBUG("Compute matrices\n"); - enumerate(n->group, n->matrices, g->p1, g->p2, g->p3, s, q); - - DEBUG("Compute invariants\n"); - compute_invariants( - n->group, n->matrices, - n->distinct_invariants, &n->distinct_invariants_length, 1); - - DEBUG("Find max slopes\n"); - process_output(n->group, n->matrices, n->distinct_invariants, n->distinct_invariants_length, out); - - mpq_clears(s, q, NULL); - - return 0; -} - -int main(int argc, char *argv[]) -{ - char buf[100]; - char buf2[100]; - struct global_data *g; - struct node_data n; - - start_timer(); - - // parse command line arguments - if(argc < 11) { - fprintf(stderr, "Usage: %s [restart]\n", argv[0]); - exit(1); - } - int nmax = atoi(argv[1]); - g = (struct global_data*)malloc(sizeof(struct global_data) + nmax*sizeof(int)); - g->id_list = (int*)(g+1); - g->nmax = nmax; - g->p1 = atoi(argv[2]); - g->p2 = atoi(argv[3]); - g->p3 = atoi(argv[4]); - g->sstart = atoi(argv[5]); - g->send = atoi(argv[6]); - g->sdenom = atoi(argv[7]); - g->qstart = atoi(argv[8]); - g->qend = atoi(argv[9]); - g->qdenom = atoi(argv[10]); - - // initialize - parallel_context *ctx = parallel_init(); - parallel_set_datasize_and_callbacks(ctx, init_node, do_computation, destroy_node, - sizeof(struct global_data) + g->nmax*sizeof(int), - sizeof(struct node_data), - sizeof(struct input_data), - sizeof(struct output_data)); - if(ctx->mpi_mode == 1 && ctx->rank != 0) { - // worker mode - parallel_work(ctx); - parallel_destroy(ctx); - exit(0); - } - - init_node(g, &n); - - // use very generic values for the pilot run unless sstart=send and qstart=qend - struct input_data pilot_input; - struct output_data pilot_output; - if(g->sstart == g->send && g->qstart == g->qend) { - pilot_input.snum = g->sstart; - pilot_input.sden = g->sdenom; - pilot_input.qnum = g->qstart; - pilot_input.qden = g->qdenom; - DEBUG("Single run for s = %d/%d, q = %d/%d\n", g->sstart, g->sdenom, g->qstart, g->qdenom); - } else { - pilot_input.snum = 4; - pilot_input.sden = 100; - pilot_input.qnum = 7; - pilot_input.qden = 100; - DEBUG("Initial run for s = %d/%d, q = %d/%d\n", 4, 100, 7, 100); - } - - g->id_list_length = 0; - for(int i = 0; i < n.group->size; i++) - if(n.group->elements[i].length % 2 == 0 && n.group->elements[i].inverse) - g->id_list[g->id_list_length++] = i; - - do_computation(g, &n, &pilot_input, &pilot_output); - - for(int i = 0; i < n.distinct_invariants_length; i++) - g->id_list[i] = n.distinct_invariants[i]->id; - g->id_list_length = n.distinct_invariants_length; - - if(g->sstart != g->send || g->qstart != g->qend) { - - struct input_data *inputs = malloc((g->send - g->sstart + 1)*(g->qend - g->qstart + 1)*sizeof(struct input_data)); - struct output_data *outputs = malloc((g->send - g->sstart + 1)*(g->qend - g->qstart + 1)*sizeof(struct input_data)); - - int njobs = 0; - for(int sloop = g->sstart; sloop <= g->send; sloop++) { - for(int qloop = g->qstart; qloop <= g->qend; qloop++) { - inputs[njobs].sden = g->sdenom; - inputs[njobs].qden = g->qdenom; - inputs[njobs].snum = sloop; - inputs[njobs].qnum = qloop; - njobs++; - } - } - - if(argc >= 12) - parallel_run(ctx, g, inputs, outputs, njobs, argv[11]); - else - parallel_run(ctx, g, inputs, outputs, njobs, NULL); - -// DEBUG("Loop for s = %d/%d, q = %d/%d\n", sloop, g->sdenom, qloop, g->qdenom); - - for(int i = 0; i < njobs; i++) - { - gmp_printf("%d/%d %d/%d %d %s %f\n", - inputs[i].snum, inputs[i].sden, inputs[i].qnum, inputs[i].qden, - outputs[i].max_slope_id, - print_word(&n.group->elements[outputs[i].max_slope_id], buf), - outputs[i].max_slope); - } - - free(inputs); - free(outputs); - } else { - // output - for(int i = 0; i < n.distinct_invariants_length; i++) { - // exclude tr = trinv = 2/1/0/-1/3 - mpq_t tmp; - mpq_init(tmp); - mpq_set_si(tmp, 2, 1); - if(mpq_cmp(n.distinct_invariants[i]->tr, tmp) == 0 && - mpq_cmp(n.distinct_invariants[i]->trinv, tmp) == 0) - continue; - mpq_set_si(tmp, 1, 1); - if(mpq_cmp(n.distinct_invariants[i]->tr, tmp) == 0 && - mpq_cmp(n.distinct_invariants[i]->trinv, tmp) == 0) - continue; - mpq_set_si(tmp, 0, 1); - if(mpq_cmp(n.distinct_invariants[i]->tr, tmp) == 0 && - mpq_cmp(n.distinct_invariants[i]->trinv, tmp) == 0) - continue; - mpq_set_si(tmp, -1, 1); - if(mpq_cmp(n.distinct_invariants[i]->tr, tmp) == 0 && - mpq_cmp(n.distinct_invariants[i]->trinv, tmp) == 0) - continue; - mpq_set_si(tmp, 3, 1); - if(mpq_cmp(n.distinct_invariants[i]->tr, tmp) == 0 && - mpq_cmp(n.distinct_invariants[i]->trinv, tmp) == 0) - continue; - mpq_clear(tmp); - - double slope = n.distinct_invariants[i]->y/n.distinct_invariants[i]->x; - - gmp_printf("%d %s %f\n", - n.distinct_invariants[i]->id, - print_word(&n.group->elements[n.distinct_invariants[i]->id], buf), - slope); - } - - } - - destroy_node(g, &n); - free(g); - parallel_destroy(ctx); -} diff --git a/old/singular_values_barbot.c b/old/singular_values_barbot.c deleted file mode 100644 index eca49b8..0000000 --- a/old/singular_values_barbot.c +++ /dev/null @@ -1,559 +0,0 @@ -#include "coxeter.h" -#include "linalg.h" -#include "mat.h" -#include "enumerate_triangle_group.h" -#include "parallel.h" - -#include - -#define SWAP(t,x,y) do { t _tmp = (x); (x) = (y); (y) = _tmp; } while (0); - -//#define DEBUG(msg, ...) fprintf(stderr, "[%003d%10.3f] " msg, mpi_rank(0), runtime(), ##__VA_ARGS__) -#define DEBUG(msg, ...) -#define INFO(msg, ...) fprintf(stderr, "[%003d%10.3f] " msg, mpi_rank(0), runtime(), ##__VA_ARGS__) - -struct result { - int id; - NUMBER tr; - NUMBER trinv; - int disc_sign; -}; - -// we want as much as possible to be node data, except if it is only known to the main node -// (command line arguments) or should only be computed once (id list) - -struct global_data { - // command line arguments - unsigned int nmax; - unsigned int p1, p2, p3; - unsigned int sstart, send, sdenom; - unsigned int qstart, qend, qdenom; - - unsigned int *id_list; - unsigned int id_list_length; -}; - -struct node_data { - group_t *group; - mat* matrices; - struct result *invariants; - struct result **distinct_invariants; - int distinct_invariants_length; - mps_context *solver; -}; - -struct input_data { - unsigned int snum, sden; - unsigned int qnum, qden; -}; - -struct output_data { - int n_non_loxodromic; - int min_wordlength; - int elements[10]; -}; - -static int compare_result(const void *a_, const void *b_) -{ - int d = 0; - - struct result **a = (struct result **)a_; - struct result **b = (struct result **)b_; - - d = CMP((*a)->tr,(*b)->tr); - if(d == 0) { - d = CMP((*a)->trinv, (*b)->trinv); - } - - return d; -} - -static int compare_result_by_id(const void *a_, const void *b_) -{ - int d = 0; - - struct result **a = (struct result **)a_; - struct result **b = (struct result **)b_; - - return (*a)->id - (*b)->id; -} - -static int compare_result_by_tr_trinv_id(const void *a_, const void *b_) -{ - int d = 0; - - struct result **a = (struct result **)a_; - struct result **b = (struct result **)b_; - - d = CMP((*a)->tr,(*b)->tr); - if(d == 0) { - d = CMP((*a)->trinv, (*b)->trinv); - if(d == 0) { - d = (*b)->id - (*a)->id; - } - } - - return d; -} - -/* -static int compare_result_by_slope(const void *a_, const void *b_) -{ - int d = 0; - - struct result **a = (struct result **)a_; - struct result **b = (struct result **)b_; - - double slopea = (*a)->x / (*a)->y; - double slopeb = (*b)->x / (*b)->y; - - return slopea > slopeb ? -1 : slopea < slopeb ? 1 : 0; -} -*/ - -int invariants_trace_loxodromic(group_t *group, mat *matrices, struct result **invariants, int *n, int unique) -{ - int ntraces = *n, nuniq; // ntraces is the number of traces we are asked to compute, nuniq is the number of unique ones after we eliminate duplicates - - // compute the traces - for(int i = 0; i < ntraces; i++) { - int id = invariants[i]->id; - int invid = group->elements[id].inverse->id; - mat_trace(invariants[i]->tr, matrices[id]); - mat_trace(invariants[i]->trinv, matrices[invid]); - } - - // throw out duplicates if unique == 1 - if(!unique) - nuniq = ntraces; - else { - qsort(invariants, ntraces, sizeof(struct result*), compare_result); - - nuniq = 0; - for(int i = 0; i < ntraces; i++) { - if(i == 0 || compare_result(&invariants[i], &invariants[nuniq-1]) != 0) { - invariants[nuniq] = invariants[i]; - nuniq++; - } else { - int oldlength = group->elements[invariants[nuniq-1]->id].length; - int newlength = group->elements[invariants[i]->id].length; - if(newlength < oldlength) - invariants[nuniq-1]->id = invariants[i]->id; - } - } - } - - // check if loxodromic - NUMBER disc, zero; - double disc_real; - INIT(disc, QT_SQRT5); - INIT(zero, QT_SQRT5); - SET_ZERO(zero); - for(int i = 0; i < nuniq; i++) { - discriminant(disc, invariants[i]->tr, invariants[i]->trinv); - disc_real = mpq_get_d(disc->a[0]) + sqrt(5)*mpq_get_d(disc->a[1]); - gmp_printf("%Qd %Qd %f\n", disc->a[0], disc->a[1], disc_real); - invariants[i]->disc_sign = disc_real > 0 ? 1 : disc_real < 0 ? -1 : 0; - } - CLEAR(disc); - CLEAR(zero); - - // sort by ID again - qsort(invariants, nuniq, sizeof(struct result*), compare_result_by_id); - - *n = nuniq; - return 0; -} - -/* -int invariants_trace_slope(group_t *group, mat *matrices, struct result **invariants, int *n, int unique) -{ - mpq_t tmp; - mps_context *solver; - mps_monomial_poly *poly; - int index; - int ntraces = *n, nuniq; - int retval; - double evs[3]; - char buf[100]; - -// DEBUG("Compute traces\n"); - for(int i = 0; i < ntraces; i++) { - int id = invariants[i]->id; - int invid = group->elements[id].inverse->id; - mat_trace(invariants[i]->tr, matrices[id]); - mat_trace(invariants[i]->trinv, matrices[invid]); - } - - if(!unique) - nuniq = ntraces; - else { -// DEBUG("Get unique traces\n"); - qsort(invariants, ntraces, sizeof(struct result*), compare_result); - - nuniq = 0; - for(int i = 0; i < ntraces; i++) { - if(i == 0 || compare_result(&invariants[i], &invariants[nuniq-1]) != 0) { - invariants[nuniq] = invariants[i]; - nuniq++; - } else { - int oldlength = group->elements[invariants[nuniq-1]->id].length; - int newlength = group->elements[invariants[i]->id].length; - if(newlength < oldlength) - invariants[nuniq-1]->id = invariants[i]->id; - } - } - } - - DEBUG("Solve characteristic polynomials\n"); - solver = mps_context_new(); - poly = mps_monomial_poly_new(solver, 3); - mps_context_set_output_prec(solver, 20); // relative precision - mps_context_set_output_goal(solver, MPS_OUTPUT_GOAL_APPROXIMATE); - - for(int i = 0; i < nuniq; i++) { - retval = solve_characteristic_polynomial(solver, poly, invariants[i]->tr, invariants[i]->trinv, evs); - - if(retval == 1) { - fprintf(stderr, "Error! Could not solve polynomial.\n"); - continue; - } else if(retval == 2) { - continue; - } - - if(fabs(evs[0]) < fabs(evs[1])) - SWAP(double, evs[0], evs[1]); - if(fabs(evs[1]) < fabs(evs[2])) - SWAP(double, evs[1], evs[2]); - if(fabs(evs[0]) < fabs(evs[1])) - SWAP(double, evs[0], evs[1]); - - double x = log(fabs(evs[0])); - double y = -log(fabs(evs[2])); - - invariants[i]->x = x; - invariants[i]->y = y; - invariants[i]->slope = y/x; - } - mps_context_free(solver); - - qsort(invariants, nuniq, sizeof(struct result*), compare_result_by_id); - - *n = nuniq; - return 0; -} -*/ - -/* -long check_memory_usage(mat *matrices, int n) -{ - mpq_t x; - long total; - - for(int i = 0; i < n; i++) - { - LOOP(j,3) LOOP(k,3) { - total += mpq_numref(M(matrices[i], j, k))->_mp_size; - total += mpq_denref(M(matrices[i], j, k))->_mp_size; - } - } - - return total; -} -*/ - - -void destroy_node(const void *_g, void *_n) -{ - struct global_data *g = (struct global_data *)_g; - struct node_data *n = (struct node_data *)_n; - - for(int i = 0; i < g->nmax; i++) { - CLEAR(n->invariants[i].tr); - CLEAR(n->invariants[i].trinv); - } - free(n->invariants); - free(n->distinct_invariants); - for(int i = 0; i < g->nmax; i++) - mat_clear(n->matrices[i]); - free(n->matrices); - coxeter_clear(n->group); -} - -int init_node(const void *_g, void *_n) -{ - struct global_data *g = (struct global_data *)_g; - struct node_data *n = (struct node_data *)_n; - - DEBUG("Allocate\n"); - g->id_list = (int*)(g+1); // pointers get scrambled by transmission, reconstruct - n->matrices = malloc(g->nmax*sizeof(mat)); - for(int i = 0; i < g->nmax; i++) - mat_init(n->matrices[i], 3, QT_SQRT5); - n->invariants = malloc(g->nmax*sizeof(struct result)); - n->distinct_invariants = malloc(g->nmax*sizeof(struct result)); // we won't need that many, but just in case - for(int i = 0; i < g->nmax; i++) { - INIT(n->invariants[i].tr, QT_SQRT5); - INIT(n->invariants[i].trinv, QT_SQRT5); - n->invariants[i].id = i; - } - - // order of the triangle reflection generators: a, b, c - // order of the rotation orders: bc, ac, ab - DEBUG("Generate group\n"); - n->group = coxeter_init_triangle(g->p1, g->p2, g->p3, g->nmax); - - return 0; -} - -int process_output(group_t *group, mat *matrices, struct result **invariants, int invariants_length, struct output_data *out) -{ - out->n_non_loxodromic = 0; - out->min_wordlength = INT_MAX; - for(int i = 0; i < invariants_length; i++) { - if(invariants[i]->disc_sign <= 0 && invariants[i]->id != 0 && invariants[i]->id != 4 && invariants[i]->id != 22) { - if(out->n_non_loxodromic < 10) - out->elements[out->n_non_loxodromic] = invariants[i]->id; - out->n_non_loxodromic++; - if(group->elements[invariants[i]->id].length < out->min_wordlength) - out->min_wordlength = group->elements[invariants[i]->id].length; - } - } -} - -int do_computation(const void *_g, void *_n, const void *_in, void *_out) -{ - struct global_data *g = (struct global_data *)_g; - struct node_data *n = (struct node_data *)_n; - struct input_data *in = (struct input_data *)_in; - struct output_data *out = (struct output_data *)_out; - - mpq_t s, q; - - mpq_inits(s, q, NULL); - mpq_set_ui(s, in->snum, in->sden); - mpq_set_ui(q, in->qnum, in->qden); - - INFO("Computing represention with s = %d/%d and q = %d/%d.\n", - in->snum, in->sden, - in->qnum, in->qden); - - // we need to compute all the elements pointed to in id_list, and all their suffixes or prefixes - // I can imagine a smarter way of doing this which checks if there is a shorter route to the element - for(int i = 0; i < n->group->size; i++) - n->group->elements[i].need_to_compute = 0; - n->group->elements[0].need_to_compute = 1; - - int needed_elements = 1; - for(int i = 0; i < g->id_list_length; i++) - { - int id = g->id_list[i]; - n->distinct_invariants[i] = &n->invariants[id]; - groupelement_t *cur = &n->group->elements[id]; - while(cur->need_to_compute == 0) { - cur->need_to_compute = 1; - needed_elements++; - cur = cur->parent->parent; // also need to compute its even-length ancestors - } - cur = n->group->elements[id].inverse; - while(cur->need_to_compute == 0) { - cur->need_to_compute = 1; - needed_elements++; - cur = cur->parent->parent; - } - } - n->distinct_invariants_length = g->id_list_length; - - DEBUG("Need to compute %d elements to get %d traces up to reflection length %d\n", - needed_elements, g->id_list_length, n->group->elements[n->group->size-1].length); - - DEBUG("Compute matrices\n"); - mat gen[6]; - for(int i = 0; i < 6; i++) - mat_init(gen[i], 3, QT_SQRT5); - - generators_triangle_rotation_555_barbot(gen, s, q); - enumerate_triangle_rotation_subgroup(n->group, gen, n->matrices); - - for(int i = 0; i < 6; i++) - mat_clear(gen[i]); - - DEBUG("Compute invariants\n"); - invariants_trace_loxodromic( - n->group, n->matrices, - n->distinct_invariants, &n->distinct_invariants_length, 1); - -// DEBUG("Find max slopes\n"); - process_output(n->group, n->matrices, n->distinct_invariants, n->distinct_invariants_length, out); - - mpq_clears(s, q, NULL); - - return 0; -} - -int main(int argc, char *argv[]) -{ - char buf[1000]; - char buf2[1000]; - char buf3[1000]; - struct global_data *g; - struct node_data n; - - start_timer(); - - // parse command line arguments - if(argc < 11) { - fprintf(stderr, "Usage: %s [restart]\n", argv[0]); - exit(1); - } - int nmax = atoi(argv[1]); - g = (struct global_data*)malloc(sizeof(struct global_data) + nmax*sizeof(int)); - g->id_list = (int*)(g+1); - g->nmax = nmax; - g->p1 = atoi(argv[2]); - g->p2 = atoi(argv[3]); - g->p3 = atoi(argv[4]); - g->sstart = atoi(argv[5]); - g->send = atoi(argv[6]); - g->sdenom = atoi(argv[7]); - g->qstart = atoi(argv[8]); - g->qend = atoi(argv[9]); - g->qdenom = atoi(argv[10]); - - // initialize - parallel_context *ctx = parallel_init(); - parallel_set_datasize_and_callbacks(ctx, init_node, do_computation, destroy_node, - sizeof(struct global_data) + g->nmax*sizeof(int), - sizeof(struct node_data), - sizeof(struct input_data), - sizeof(struct output_data)); - if(ctx->mpi_mode == 1 && ctx->rank != 0) { - // worker mode - parallel_work(ctx); - parallel_destroy(ctx); - exit(0); - } - - init_node(g, &n); - - // use very generic values for the pilot run unless sstart=send and qstart=qend - struct input_data pilot_input; - struct output_data pilot_output; - if(g->sstart == g->send && g->qstart == g->qend) { - pilot_input.snum = g->sstart; - pilot_input.sden = g->sdenom; - pilot_input.qnum = g->qstart; - pilot_input.qden = g->qdenom; - DEBUG("Single run for s = %d/%d, q = %d/%d\n", g->sstart, g->sdenom, g->qstart, g->qdenom); - } else { - pilot_input.snum = 4; - pilot_input.sden = 100; - pilot_input.qnum = 7; - pilot_input.qden = 100; - DEBUG("Initial run for s = %d/%d, q = %d/%d\n", 4, 100, 7, 100); - } - - g->id_list_length = 0; - for(int i = 0; i < n.group->size; i++) - if(n.group->elements[i].length % 2 == 0 && n.group->elements[i].inverse) - g->id_list[g->id_list_length++] = i; - - do_computation(g, &n, &pilot_input, &pilot_output); - - for(int i = 0; i < n.distinct_invariants_length; i++) - g->id_list[i] = n.distinct_invariants[i]->id; - g->id_list_length = n.distinct_invariants_length; - - if(g->sstart != g->send || g->qstart != g->qend) { - - struct input_data *inputs = malloc((g->send - g->sstart + 1)*(g->qend - g->qstart + 1)*sizeof(struct input_data)); - struct output_data *outputs = malloc((g->send - g->sstart + 1)*(g->qend - g->qstart + 1)*sizeof(struct output_data)); - - int njobs = 0; - for(int sloop = g->sstart; sloop <= g->send; sloop++) { - for(int qloop = g->qstart; qloop <= g->qend; qloop++) { - inputs[njobs].sden = g->sdenom; - inputs[njobs].qden = g->qdenom; - inputs[njobs].snum = sloop; - inputs[njobs].qnum = qloop; - njobs++; - } - } - - if(argc >= 12) - parallel_run(ctx, g, inputs, outputs, njobs, argv[11]); - else - parallel_run(ctx, g, inputs, outputs, njobs, NULL); - -// DEBUG("Loop for s = %d/%d, q = %d/%d\n", sloop, g->sdenom, qloop, g->qdenom); - - for(int i = 0; i < njobs; i++) - { - /* - gmp_printf("%d/%d %d/%d %d %s %f\n", - inputs[i].snum, inputs[i].sden, inputs[i].qnum, inputs[i].qden, - outputs[i].max_slope_id, - print_word(&n.group->elements[outputs[i].max_slope_id], buf), - outputs[i].max_slope); - */ - - - printf("%d/%d %d/%d %d %d", - inputs[i].snum, inputs[i].sden, inputs[i].qnum, inputs[i].qden, - outputs[i].n_non_loxodromic, outputs[i].min_wordlength); - for(int j = 0; j < 10 && j < outputs[i].n_non_loxodromic; j++) - printf(" %s", print_word(&n.group->elements[outputs[i].elements[j]], buf)); - printf("\n"); - - } - - free(inputs); - free(outputs); - } else { - // output - for(int i = 0; i < n.distinct_invariants_length; i++) { - // exclude tr = trinv = 2/1/0/-1/3 - - /* - mpq_t tmp; - mpq_init(tmp); - mpq_set_si(tmp, 2, 1); - if(mpq_cmp(n.distinct_invariants[i]->tr, tmp) == 0 && - mpq_cmp(n.distinct_invariants[i]->trinv, tmp) == 0) - continue; - mpq_set_si(tmp, 1, 1); - if(mpq_cmp(n.distinct_invariants[i]->tr, tmp) == 0 && - mpq_cmp(n.distinct_invariants[i]->trinv, tmp) == 0) - continue; - mpq_set_si(tmp, 0, 1); - if(mpq_cmp(n.distinct_invariants[i]->tr, tmp) == 0 && - mpq_cmp(n.distinct_invariants[i]->trinv, tmp) == 0) - continue; - mpq_set_si(tmp, -1, 1); - if(mpq_cmp(n.distinct_invariants[i]->tr, tmp) == 0 && - mpq_cmp(n.distinct_invariants[i]->trinv, tmp) == 0) - continue; - mpq_set_si(tmp, 3, 1); - if(mpq_cmp(n.distinct_invariants[i]->tr, tmp) == 0 && - mpq_cmp(n.distinct_invariants[i]->trinv, tmp) == 0) - continue; - mpq_clear(tmp); - */ - - SNPRINT(buf, sizeof(buf), n.distinct_invariants[i]->tr); - SNPRINT(buf2, sizeof(buf2), n.distinct_invariants[i]->trinv); - printf("%d %s %d\n", - n.distinct_invariants[i]->id, - print_word(&n.group->elements[n.distinct_invariants[i]->id], buf3), -// mpq_get_d(n.distinct_invariants[i]->tr[0])+sqrt(5)*mpq_get_d(n.distinct_invariants[i]->tr[1]), -// mpq_get_d(n.distinct_invariants[i]->trinv[0])+sqrt(5)*mpq_get_d(n.distinct_invariants[i]->trinv[1]), - n.distinct_invariants[i]->disc_sign); - - } - - } - - destroy_node(g, &n); - free(g); - parallel_destroy(ctx); -} diff --git a/output/max_slope_picture/colors b/output/max_slope_picture/colors deleted file mode 100644 index a1c61c6..0000000 --- a/output/max_slope_picture/colors +++ /dev/null @@ -1,14 +0,0 @@ -#a6cee3 -#1f78b4 -#b2df8a -#33a02c -#fb9a99 -#e31a1c -#fdbf6f -#ff7f00 -#cab2d6 -#6a3d9a -#ffff99 -#b15928 -#ffff00 -#00ffff diff --git a/output/max_slope_picture/combine_images b/output/max_slope_picture/combine_images deleted file mode 100755 index 6d33c5f..0000000 --- a/output/max_slope_picture/combine_images +++ /dev/null @@ -1,6 +0,0 @@ -#!/bin/bash - -convert -size 100x99 canvas:black combined.png -for a in partition_*.pnm; do - composite -compose plus combined.png $a combined.png -done diff --git a/output/max_slope_picture/generate.hs b/output/max_slope_picture/generate.hs deleted file mode 100644 index ff4ac33..0000000 --- a/output/max_slope_picture/generate.hs +++ /dev/null @@ -1,69 +0,0 @@ -import Text.Printf -import System.Environment -import System.Process -import Data.List - -wordlist = ["abacabacbabcbacbcacbac", "abacbabcbacbac", "abacbabcbacbcacbac", "abacbacbacbacbacbacbac", "abacbacbacbacbac", "abacbacbac", "bacabacbabcbacbcacbcac", "bacabacbabcbacbcac", "baca", "bacbabcbacbcac", "bacbacbacbacbacbacbcac", "bacbacbacbacbcac", "bacbacbcac", "bacbac"] - -colors = [(0.651,0.808,0.890), (0.122,0.471,0.706), (0.698,0.875,0.541), (0.200,0.627,0.173), (0.984,0.604,0.600), (0.890,0.102,0.110), (0.992,0.749,0.435), (1.000,0.498,0.000), (0.792,0.698,0.839), (0.416,0.239,0.604), (1.000,1.000,0.600), (0.694,0.349,0.157), (1.000,1.000,0.000), (0.000,1.000,1.000)] - -main = sequence $ zipWith (generatePicture "result_20210419_221603.out") wordlist colors - -generatePicture :: String -> String -> (Double,Double,Double) -> IO () -generatePicture datafile word color = do - file1 <- readFile datafile - file2 <- readProcess "../special_element" [word] "" - let values1 = map (normalize.read.(!!4).words) (lines file1) :: [Double] - let values2 = map (normalize.read.(!!3).words) (lines file2) :: [Double] - let diff = zipWith (-) values1 values2 - writeFile (printf "partition_%s.pnm" word) $ drawGrayscalePicture color diff - printf "Wrote partition_%s.pnm\n" word - --- kind of a failed experiment --- supersample (width, height) to (factor*width - factor + 1, factor*height - factor + 1) --- supersample :: Int -> Int -> Int -> [Double] -> [Double] --- supersample width height factor orig = [pix x y | x <- [0..(width-1)*factor], y <- [0..(height-1)*factor]] --- where --- pix x y = xl*yl*a + xl*yr*b + xr*yl*c + xr*yr*d --- where --- x_ = x`div`factor --- y_ = y`div`factor --- xr = fromIntegral (x`mod`factor)/fromIntegral factor :: Double --- xl = 1 - xr :: Double --- yr = fromIntegral (y`mod`factor)/fromIntegral factor :: Double --- yl = 1 - yr :: Double --- aoffset = x_*height + y_ --- boffset = x_*height + y_+1 --- coffset = (x_+1)*height + y_ --- doffset = (x_+1)*height + y_+1 --- a = orig!!aoffset --- b = if boffset < width*height then orig!!boffset else 0 --- c = if coffset < width*height then orig!!coffset else 0 --- d = if doffset < width*height then orig!!doffset else 0 - --- xl*yl*a + xl*yr*b + xr*yl*c + xr*yr*d - -drawGrayscalePicture :: (Double,Double,Double) -> [Double] -> String -drawGrayscalePicture (r,g,b) values = drawPicture 100 99 $ map color values - where - color x = (round (255*r*colorscale x), round (255*g*colorscale x), round (255*b*colorscale x)) - -drawPicture :: Int -> Int -> [(Int,Int,Int)] -> String -drawPicture w h values = printf "P3\n%d %d\n255\n%s" w h pixels - where - pixels = concat [printf "%d %d %d\n" r g b | (r,g,b) <- values] :: String - -normalize x = if x < 1 then 1/x else x - -readDataFile :: String -> IO [(String,Double)] -readDataFile filename = do - f <- readFile filename - return $ map process $ map words $ lines f - where - process (x:y:_:_:z:rest) = (x++" "++y,read z) - normalize x = if x < 1 then 1/x else x - -colorscale :: Double -> Double -colorscale x = if cs x < 0 then 1 else if cs x > 1 then 0 else 1 - cs x - where - cs x = 1e5*x diff --git a/output/max_slope_picture/result_20210419_221603.out b/output/max_slope_picture/result_20210419_221603.out deleted file mode 100644 index 2ac5d6d..0000000 --- a/output/max_slope_picture/result_20210419_221603.out +++ /dev/null @@ -1,9900 +0,0 @@ -1/100 1/100 0.0100000000 0.0100000000 1.9338680614 25.191 -2/100 1/100 0.0200000000 0.0100000000 1.9895267773 20.413 -3/100 1/100 0.0300000000 0.0100000000 1.9513970667 24.335 -4/100 1/100 0.0400000000 0.0100000000 1.9160780189 34.458 -5/100 1/100 0.0500000000 0.0100000000 1.8867589821 26.756 -6/100 1/100 0.0600000000 0.0100000000 1.8615416553 36.224 -7/100 1/100 0.0700000000 0.0100000000 1.8660166115 40.277 -8/100 1/100 0.0800000000 0.0100000000 1.8863445892 25.825 -9/100 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0.9900000000 1.9734435049 7.414 diff --git a/output/max_slope_picture_billiards/generate.hs b/output/max_slope_picture_billiards/generate.hs deleted file mode 100644 index d53e0a8..0000000 --- a/output/max_slope_picture_billiards/generate.hs +++ /dev/null @@ -1,14 +0,0 @@ --- resize and convert image with --- convert max_slope_billiards.pnm -scale 3000x max_slope_billiards.png - -import Text.Printf - -colors = [(0.651,0.808,0.890), (0.122,0.471,0.706), (0.698,0.875,0.541), (0.200,0.627,0.173), (0.984,0.604,0.600), (0.890,0.102,0.110), (0.992,0.749,0.435), (1.000,0.498,0.000), (0.792,0.698,0.839), (0.416,0.239,0.604), (1.000,1.000,0.600), (0.694,0.349,0.157), (1.000,1.000,0.000), (0.000,1.000,1.000)] -col = map (\(r,g,b) -> (round $ r*255, round $ g*255, round $ b*255)) colors :: [(Int,Int,Int)] - -main = do - foo <- readFile "max_slopes_billiard" - let dat = map (read.(!!2).words) $ lines foo :: [Int] - writeFile "max_slope_billiards.pnm" $ header ++ unlines [printf "%d %d %d" r g b | p <- dat, let (r,g,b) = col !! (p `mod` 14)] - where - header = "P3\n300\n123\n255\n" diff --git a/output/max_slope_picture_billiards/max_slope_highres.plt b/output/max_slope_picture_billiards/max_slope_highres.plt deleted file mode 100644 index 7a3d237..0000000 --- a/output/max_slope_picture_billiards/max_slope_highres.plt +++ /dev/null @@ -1,15 +0,0 @@ -if(!exists("index")) index = 50 - -set xrange [0:0.45] -set yrange [0:1] -set xyplane at 0 -#plot "max_slopes_billiard" using 1:2:($3 - 10*floor($3/10)) w p pt 7 ps 1.1 lc palette t "" -plot "max_slopes_billiard" using 1:2:3 w p pt 7 ps 1.1 lc palette t "" -#splot "max_slopes_billiard" using 1:2:3 w p pt 7 ps 0.3 t "" -#plot "max_slopes_billiard" using 1:2:4 w p pt 7 ps 1.1 lc palette t "" - -pause 10 -#if(MOUSE_KEY == 60) index=index-1 -#if(MOUSE_KEY == 62) index=index+1 -#print MOUSE_KEY -reread diff --git a/output/max_slope_picture_billiards/max_slopes_billiard b/output/max_slope_picture_billiards/max_slopes_billiard deleted file mode 100644 index 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