mirror of
https://github.com/zenorogue/hyperrogue.git
synced 2024-11-24 05:17:17 +00:00
539 lines
19 KiB
C++
539 lines
19 KiB
C++
namespace reps {
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constexpr int test_dim = 3;
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constexpr bool in_hyperbolic = true;
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int edges, valence;
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void prepare_tests() {
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hr::start_game();
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if(MDIM != test_dim) throw hr::hr_exception("fix your dimension");
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if(!(in_hyperbolic ? hyperbolic : sphere)) throw hr::hr_exception("fix your geometry");
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if(hr::variation != hr::eVariation::pure) throw hr::hr_exception("fix your variation");
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if(quotient) throw hr::hr_exception("fix your quotient");
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if(test_dim == 4) {
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if(cginf.tiling_name != "{4,3,5}") throw hr::hr_exception("only {4,3,5} implemented in 3D");
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edges = 4;
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valence = 5;
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}
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else {
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edges = hr::cwt.at->type;
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bool ok;
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valence = hr::get_valence(hr::cwt.at, 1, ok);
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}
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}
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struct data {
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using Number = hr::ld;
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static constexpr int Dim = test_dim;
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static constexpr int Flipped = in_hyperbolic ? test_dim-1 : -1;
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};
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struct countdata {
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using Number = countfloat;
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static constexpr int Dim = data::Dim;
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static constexpr int Flipped = data::Flipped;
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};
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struct bigdata {
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using Number = big;
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static constexpr int Dim = data::Dim;
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static constexpr int Flipped = data::Flipped;
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};
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using good = rep_linear_nn<bigdata>;
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int debug; // 0 -- never, 1 -- only errors, 2 -- always
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vector<cell*> randomwalk(std::mt19937& gen, cell *from, int dist) {
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vector<cell*> res = { from };
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while(celldistance(from, res.back()) < dist) {
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int i = gen() % res.back()->type;
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res.push_back(res.back()->cmove(i));
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}
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return res;
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}
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template<class N> N rand01(std::mt19937& gen) { return N(((gen() & HRANDMAX) | 1) / (HRANDMAX+1.)); }
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vector<cell*> random_return(std::mt19937& gen, cell *from, cell *to, ld peq, ld pbad) {
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vector<cell*> res = { from };
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ld d = celldistance(to, from);
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while(to != res.back()) {
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int i = gen() % res.back()->type;
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cell *r1 = res.back()->cmove(i);
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ld d1 = celldistance(to, r1);
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bool ok = d1 < d ? true : d1 == d ? rand01<ld>(gen) < peq : rand01<ld>(gen) < pbad;
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if(ok) { res.push_back(r1); d = d1; }
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}
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return res;
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}
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vector<cell*> vrev(vector<cell*> a) { reverse(a.begin(), a.end()); return a; }
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vector<cell*> vcon(vector<cell*> a, vector<cell*> b) { for(auto bi: b) a.push_back(bi); return a; }
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template<class N> N edge_of_triangle_with_angles(N alpha, N beta, N gamma) {
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N of = (cos(alpha) + cos(beta) * cos(gamma)) / (sin(beta) * sin(gamma));
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if(hyperbolic) return acosh(of);
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return acos(of);
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}
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template<class N> N get_edgelen() {
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N beta = get_deg<N>(360)/valence;
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return edge_of_triangle_with_angles<N> (beta, get_deg<N>(180)/edges, get_deg<N>(180)/edges);
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}
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template<class T> typename T::isometry cpush(int c, typename T::data::Number distance) {
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return T::lorentz(c, T::data::Dim-1, distance);
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}
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template<class T> struct cube_rotation_data_t {
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std::vector<std::pair<hr::transmatrix, typename T::isometry>> mapping;
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};
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template<class T> cube_rotation_data_t<T> cube_rotation_data;
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template<class T> cube_rotation_data_t<T>& build_cube_rotation() {
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auto& crd = cube_rotation_data<T>;
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auto& crdm = crd.mapping;
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// using N = typename T::data::Number;
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if(crdm.empty()) {
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crdm.emplace_back(hr::Id, T::id());
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for(int i=0; i<isize(crdm); i++)
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for(int j=0; j<3; j++) for(int k=0; k<3; k++) if(j != k) {
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hr::transmatrix U = crdm[i].first * hr::cspin90(j, k);
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bool is_new = true;
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for(int i0=0; i0<isize(crdm); i0++) if(hr::eqmatrix(U, crdm[i0].first)) is_new = false;
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// if(is_new) crdm.emplace_back(U, T::apply(crdm[i].second, T::cspin(j, k, get_deg<N>(90))));
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if(is_new) crdm.emplace_back(U, T::apply(crdm[i].second, T::cspin90(j, k)));
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}
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if(isize(crdm) != 24) {
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println(hlog, "the number of rotations found: ", isize(crdm));
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throw hr::hr_exception("wrong number of rotations");
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}
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}
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return crd;
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}
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template<class T, class U> U apply_move(cell *a, cell *b, U to) {
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if(a == b) return to;
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using N = typename T::data::Number;
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if constexpr(test_dim == 4) {
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auto& crdm = build_cube_rotation<T>().mapping;
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int ida = neighborId(a, b);
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auto M = hr::currentmap->adj(a, ida);
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for(int i0=0; i0<isize(crdm); i0++)
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for(int i1=0; i1<isize(crdm); i1++)
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if(hr::eqmatrix(M, crdm[i0].first * hr::xpush(1.06128) * crdm[i1].first)) {
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to = T::apply(crdm[i1].second, to);
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to = T::apply(cpush<T>(0, get_edgelen<N>()), to);
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to = T::apply(crdm[i0].second, to);
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return to;
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}
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println(hlog, "tessf = ", hr::cgip->tessf);
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println(hlog, "len = ", get_edgelen<N>());
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throw hr::hr_exception("rotation not found");
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}
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int ida = neighborId(a, b);
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int idb = neighborId(b, a);
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auto P1 = T::cspin(0, 1, idb * get_deg<N>(360) / edges);
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to = T::apply(P1, to);
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auto P2 = cpush<T>(0, get_edgelen<N>());
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to = T::apply(P2, to);
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auto P3 = T::cspin(1, 0, get_deg<N>(180) + ida * get_deg<N>(360) / edges);
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to = T::apply(P3, to);
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return to;
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}
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template<class T, class U> U apply_path(vector<cell*> path, U to) {
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for(int i=hr::isize(path)-2; i>=0; i--)
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to = apply_move<T, U> (path[i], path[i+1], to);
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return to;
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}
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template<class T> double test_sanity(int i) {
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hr::indenter in(2);
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ld d1 = 1.25, d2 = 1.5;
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typename good::point gp = good::center();
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gp = good::apply(cpush<good>(0, d1), gp);
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gp = good::apply(cpush<good>(1, d2), gp);
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gp = good::apply(good::cspin(0, 1, get_deg<big>(72)), gp);
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typename T::point p = T::center();
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p = T::apply(cpush<T>(0, d1), p);
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p = T::apply(cpush<T>(1, d2), p);
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p = T::apply(T::cspin(0, 1, get_deg<typename T::data::Number>(72)), p);
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double res = 0;
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#define ADD(x, y) if(debug) println(hlog, "VS ", x, ",", y); res += pow( double(x-y), 2);
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#define ADDA(x, y) if(debug) println(hlog, "VS ", x, ",", y); res += pow( cyclefix_on(double(x-y)), 2);
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if(debug) println(hlog, "p=", T::print(p));
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ADD(T::get_coord(p, 0), good::get_coord(gp, 0));
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ADD(T::get_coord(p, 1), good::get_coord(gp, 1));
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ADD(T::get_coord(p, 2), good::get_coord(gp, 2));
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ADD(T::dist0(p), good::dist0(gp));
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ADDA(T::angle(p), good::angle(gp));
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return res;
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}
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template<class T> double test_consistency(int i) {
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double res = 0;
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using D = typename T::data;
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auto a = cpush<T>(0, 1);
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auto b = cpush<T>(1, 1);
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auto c = cpush<T>(0, 1);
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auto s = T::apply(T::apply(a, b), c);
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auto sp = T::apply(s, T::center());
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auto s1 = T::apply(a, T::apply(b, c));
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auto sp1 = T::apply(s1, T::center());
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auto sp2 = T::apply(a, T::apply(b, T::apply(c, T::center())));
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ADD(T::dist0(sp), T::dist0(sp1));
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ADD(T::dist0(sp), T::dist0(sp2));
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for(int i=0; i<D::Dim; i++) { ADD(T::get_coord(sp, i), T::get_coord(sp1, i)); }
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for(int i=0; i<D::Dim; i++) { ADD(T::get_coord(sp, i), T::get_coord(sp2, i)); }
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if(test_dim == 3) {
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ADDA(T::angle(sp), T::angle(sp1));
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ADDA(T::angle(sp), T::angle(sp2));
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}
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return res;
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}
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template<class T> double test_tba(int id) {
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std::mt19937 testr; testr.seed(id);
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for(int i=0; i<hr::cwt.at->type; i++) {
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vector<cell*> p = {hr::cwt.at, hr::cwt.at->cmove(i), hr::cwt.at};
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auto h = apply_path<T>(p, T::center());
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if(debug == 2) println(hlog, "i=", hr::lalign(3, i), " h = ", T::print(h), " distance =", T::dist0(h));
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if(T::dist0(h) >= 0 && T::dist0(h) < 0.1) continue;
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exit(1);
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}
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return 999;
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}
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template<class T> double test_loop_point(int id) {
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std::mt19937 testr; testr.seed(id);
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for(int i=0; i<100; i++) {
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auto p1 = randomwalk(testr, hr::cwt.at, i);
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auto p2 = random_return(testr, p1.back(), hr::cwt.at, 1/16., 1/32.);
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auto p = vcon(p1, p2);
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if(debug == 2) println(hlog, "path = ", p);
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auto h = apply_path<T>(vrev(p), T::center());
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if(debug == 2) println(hlog, "i=", hr::lalign(3, i), " h = ", T::print(h), " distance =", T::dist0(h));
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if(T::dist0(h) >= 0 && T::dist0(h) < 0.1) continue;
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return i;
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}
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return 999;
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}
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template<class T> double test_loop_iso(int id) {
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std::mt19937 testr; testr.seed(id);
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for(int i=0; i<100; i++) {
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auto p1 = randomwalk(testr, hr::cwt.at, i);
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auto p2 = random_return(testr, p1.back(), hr::cwt.at, 1/16., 1/32.);
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auto p = vcon(p1, p2);
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if(debug == 2) println(hlog, "path = ", p);
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auto h = apply_path<T>(vrev(p), T::id());
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auto hr = T::apply(h, T::center());
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// println(hlog, "i=", hr::lalign(3, i), " h=", hr);
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if(debug == 2) println(hlog, "i=", hr::lalign(3, i), " hr = ", T::print(hr), " distance = ", T::dist0(hr));
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if(T::dist0(hr) >= 0 && T::dist0(hr) < 0.1) continue;
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if(debug == 1) println(hlog, "i=", hr::lalign(3, i), " hr = ", T::print(hr), " distance = ", T::dist0(hr));
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return i;
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}
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return 999;
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}
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template<class T, class F> vector<T> repeat_test(const F& f, int qty) {
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vector<T> res;
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for(int i=0; i<qty; i++) res.push_back(f(i));
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return res;
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}
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template<class T> typename T::isometry random_rotation(std::mt19937& testr) {
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using D = typename T::data;
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using N = typename D::Number;
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if(D::Dim == 3) {
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auto alpha = rand01<N>(testr) * get_deg<N>(360);
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return T::cspin(0, 1, alpha);
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}
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auto x = T::id();
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for(int i=0; i<100; i++) {
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int c0 = testr() % (D::Dim-1);
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int c1 = testr() % (D::Dim-1);
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if(c0 == c1) continue;
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auto len = rand01<N>(testr) * get_deg<N>(360);
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x = T::apply(T::cspin(c0, c1, len), x);
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}
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return x;
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}
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template<class T> typename T::isometry random_iso(std::mt19937& testr) {
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auto x = T::id();
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using D = typename T::data;
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using N = typename D::Number;
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for(int i=0; i<100; i++) {
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int c0 = testr() % D::Dim;
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int c1 = testr() % D::Dim;
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if(c0 == c1) continue;
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if(c0 == D::Flipped) std::swap(c0, c1);
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N len = c1 < D::Flipped ? rand01<N>(testr) * get_deg<N>(360) : (rand01<N>(testr)-N(0.5)) * N(0.25);
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if(c1 == D::Flipped) x = T::apply(T::lorentz(c0, c1, len), x);
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else x = T::apply(T::cspin(c0, c1, len), x);
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}
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return x;
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}
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template<class T> std::string test_count(int id) {
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std::mt19937 testr; testr.seed(id);
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hr::shstream out;
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auto A = random_iso<T>(testr);
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auto B = random_iso<T>(testr);
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auto C = random_iso<T>(testr);
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auto P = T::apply(C, T::center());
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for(int i=0; i<9; i++) {
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counts.clear();
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for(auto& i: cbc) i = 0;
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std::string s;
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switch(i) {
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case 0: s = "spin"; T::cspin(0, 1, countfloat(.5)); break;
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case 1: s = "L0"; T::lorentz(0, T::data::Dim-1, countfloat(.5)); break;
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case 2: s = "L1"; T::lorentz(1, T::data::Dim-1, countfloat(.5)); break;
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case 3: s = "ip"; T::apply(A, P); break;
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case 4: s = "ii"; T::apply(A, B); break;
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case 5: s = "d0"; T::dist0(P); break;
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case 6: s = "angle"; T::angle(P); break;
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case 7: s = "inverse"; T::inverse(A); break;
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case 8: s = "push"; T::push(P); break;
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}
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if(i) print(out, " ");
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if(1) {
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print(out, s, "(");
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bool nsp = false;
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for(int i=1; i<5; i++) if(cbc[i]) {
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if(nsp) print(out, " ");
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print(out, cbc[i], hr::s0+".AMDF"[i]);
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nsp = true;
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}
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print(out, ")");
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}
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}
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return out.s;
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}
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template<class A, class B> bool closeto(A a, B b) { return abs(a-b) < 0.1; }
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template<class A, class B> bool closeto_angle(A a, B b) { return abs(cyclefix_on(double(a-b))) < 0.1; }
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template<class T> double test_angledist(int id) {
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std::mt19937 testr; testr.seed(id);
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for(int i=1; i<1000; i += (1 + i/5)) {
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auto p = randomwalk(testr, hr::cwt.at, i);
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auto h = apply_path<T>(vrev(p), T::center());
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auto gh = apply_path<good>(vrev(p), good::center());
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if(debug == 2) {
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println(hlog, "good: ", good::print(gh), " dist = ", good::dist0(gh), " angle = ", good::angle(gh));
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println(hlog, "test: ", T::print(h), " dist = ", T::dist0(h), " angle = ", T::angle(h), " [i=", i, "]");
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}
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if(closeto(good::dist0(gh), T::dist0(h)) && closeto_angle(good::angle(gh), T::angle(h))) continue;
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if(debug == 1) {
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println(hlog, "good: ", good::print(gh), " dist = ", good::dist0(gh), " angle = ", good::angle(gh));
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println(hlog, "test: ", T::print(h), " dist = ", T::dist0(h), " angle = ", T::angle(h), " [i=", i, "]");
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}
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return i;
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}
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return 999;
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}
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#define TEST_VARIANTS(x,D,q,t,rn, r) \
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nm = nmInvariant; println(hlog, rn, "invariant: ", repeat_test<t>(x<r<D>>, q)); \
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nm = nmForced; println(hlog, rn, "forced : ", repeat_test<t>(x<r<D>>, q)); \
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nm = nmWeak; println(hlog, rn, "weak : ", repeat_test<t>(x<r<D>>, q)); \
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nm = nmFlatten; println(hlog, rn, "flatten : ", repeat_test<t>(x<r<D>>, q)); \
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nm = nmCareless; println(hlog, rn, "careless : ", repeat_test<t>(x<r<D>>, q)); \
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nm = nmBinary; println(hlog, rn, "binary : ", repeat_test<t>(x<r<D>>, q));
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/*
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#define TEST_ALL(x,D,q,t) \
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println(hlog, "HyperRogue: ", repeat_test<t>(x<rep_hr<D>>, q)); \
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polar_mod = polar_choose = false; println(hlog, "high polar: ", repeat_test<t>(x<rep_high_polar<D>>, q)); \
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if(test_dim == 3) { polar_mod = polar_choose = false; println(hlog, "low polar : ", repeat_test<t>(x<rep_polar2<D>>, q)); }
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*/
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// println(hlog, "HyperRogue : ", repeat_test<t>(x<rep_hr<D>>, q));
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#define TEST_ALL(x,D,q,t) \
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fix_matrices = true; TEST_VARIANTS(x,D,q,t,"linear+F ", rep_linear) \
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fix_matrices = false; TEST_VARIANTS(x,D,q,t,"linear-F ", rep_linear) \
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TEST_VARIANTS(x,D,q,t,"mixed ", rep_mixed) \
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TEST_VARIANTS(x,D,q,t,"Clifford ", rep_clifford) \
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nm = nmFlatten; println(hlog, "Clifford gyro : ", repeat_test<t>(x<rep_half<D>>, q)); \
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nm = nmInvariant; println(hlog, "halfplane invariant: ", repeat_test<t>(x<rep_half<D>>, q)); \
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polar_choose = false; println(hlog, "polar basic : ", repeat_test<t>(x<rep_high_polar<D>>, q)); \
|
|
polar_choose = true; println(hlog, "polar improved : ", repeat_test<t>(x<rep_high_polar<D>>, q)); \
|
|
if(test_dim == 3) { \
|
|
polar_mod = false; polar_choose = false; println(hlog, "polar F/F : ", repeat_test<t>(x<rep_polar2<D>>, q)); \
|
|
polar_mod = false; polar_choose = true; println(hlog, "polar F/T : ", repeat_test<t>(x<rep_polar2<D>>, q)); \
|
|
polar_mod = true; polar_choose = false; println(hlog, "polar T/F : ", repeat_test<t>(x<rep_polar2<D>>, q)); \
|
|
polar_mod = true; polar_choose = true; println(hlog, "polar T/T : ", repeat_test<t>(x<rep_polar2<D>>, q)); \
|
|
}
|
|
|
|
template<class T> double test_distances(int id, int a) {
|
|
std::mt19937 testr; testr.seed(id);
|
|
using N = typename T::data::Number;
|
|
|
|
for(int i=1; i<1000; i ++) {
|
|
|
|
auto R = random_rotation<T>(testr);
|
|
auto dif = exp(N(-1) * i) + get_deg<N>(a);
|
|
|
|
auto p1 = T::apply(T::apply(R, cpush<T>(0, N(i))), T::center());
|
|
auto p2 = T::apply(T::apply(R, T::apply(T::cspin(0, 1, dif), cpush<T>(0, N(i)))), T::center());
|
|
auto pd = T::apply(T::inverse(T::push(p1)), p2);
|
|
auto d = T::dist0(pd);
|
|
|
|
// for good we do not need R actually
|
|
auto gp1 = good::apply(cpush<good>(0, N(i)), good::center());
|
|
auto gp2 = good::apply(good::apply(good::cspin(0, 1, dif), cpush<good>(0, N(i))), good::center());
|
|
auto gd = good::dist0(good::apply(good::inverse(good::push(gp1)), gp2));
|
|
|
|
if(debug == 2) println(hlog, T::print(p1), " ... ", T::print(p2), " = ", T::print(pd), " d=", d, " [i=", i, " dif=", dif, "]");
|
|
|
|
if(closeto(d, gd)) continue;
|
|
|
|
return i;
|
|
}
|
|
return 999;
|
|
}
|
|
|
|
template<class T> double test_similarity(int id) { return test_distances<T>(id, 0); }
|
|
template<class T> double test_dissimilarity(int id) { return test_distances<T>(id, 180); }
|
|
template<class T> double test_other(int id) { return test_distances<T>(id, 1); }
|
|
|
|
template<class T> double test_walk(int id) {
|
|
std::mt19937 testr; testr.seed(id);
|
|
|
|
ld step = 1/16.;
|
|
// mover-relative to cell-relative
|
|
auto R0 = random_rotation<T>(testr);
|
|
cell *c0 = hr::cwt.at;
|
|
auto R1 = T::apply(R0, cpush<T>(0, step/2));
|
|
cell *c1 = hr::cwt.at;
|
|
|
|
int i = 0;
|
|
int lastchange = 0;
|
|
while(i< lastchange + 1000 && i < 10000 && celldistance(c0, c1) < 3) {
|
|
// println(hlog, "iteration ", i, " in ", c0, " vs ", c1);
|
|
auto rebase = [&] (typename T::isometry& R, cell*& c, int id) {
|
|
ld d = T::dist0(T::apply(R, T::center()));
|
|
for(int dir=0; dir<c->type; dir++) {
|
|
cell *altc = c->cmove(dir);
|
|
auto altR = apply_move<T>(altc, c, R);
|
|
ld altd = T::dist0(T::apply(altR, T::center()));
|
|
if(altd < d + 1/256.) {
|
|
R = altR; c = altc; lastchange = i; return;
|
|
}
|
|
}
|
|
};
|
|
R0 = T::apply(R0, cpush<T>(0, step)); rebase(R0, c0, 0);
|
|
R1 = T::apply(R1, cpush<T>(0, step)); rebase(R1, c1, 1);
|
|
i++;
|
|
}
|
|
|
|
return i;
|
|
}
|
|
|
|
template<class T> double test_close(int id) {
|
|
std::mt19937 testr; testr.seed(id);
|
|
|
|
cell *c = hr::cwt.at;
|
|
int phase = 0;
|
|
auto p0 = T::apply(cpush<T>(0, 1/8.), T::center());
|
|
auto p = p0;
|
|
|
|
int steps = 0;
|
|
const int maxdist = id + 1;
|
|
int errors = 0;
|
|
|
|
while(steps < 10000) {
|
|
int d = testr() % c->type;
|
|
cell *c1 = c->cmove(d);
|
|
|
|
bool do_move = false;
|
|
|
|
switch(phase) {
|
|
case 0:
|
|
/* always move */
|
|
do_move = true;
|
|
if(celldistance(c1, hr::cwt.at) == maxdist) phase = 1;
|
|
break;
|
|
|
|
case 1:
|
|
/* move only towards the center */
|
|
int d0 = celldistance(c, hr::cwt.at);
|
|
int d1 = celldistance(c1, hr::cwt.at);
|
|
do_move = d1 < d0;
|
|
if(d1 == 0) phase = 0;
|
|
break;
|
|
}
|
|
|
|
if(do_move) {
|
|
p = apply_move<T>(c1, c, p); c = c1; steps++;
|
|
if(debug == 2) println(hlog, "dist = ", celldistance(c, hr::cwt.at), " dist = ", T::dist0(p));
|
|
if(c == hr::cwt.at) {
|
|
auto d = T::dist0(p);
|
|
auto a = T::angle(p);
|
|
if(!closeto(d, 1/8.) || !closeto_angle(a, 0)) {
|
|
errors++; phase = 0; c = hr::cwt.at; p = p0;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
return errors;
|
|
}
|
|
|
|
void run_all_tests() {
|
|
prepare_tests();
|
|
|
|
// println(hlog, "test_sanity"); TEST_ALL(test_sanity, data, 1, ld);
|
|
|
|
// println(hlog, "test_consistency"); TEST_ALL(test_consistency, data, 1, ld);
|
|
|
|
println(hlog, "test_loop_iso"); TEST_ALL(test_loop_iso, data, 20, int);
|
|
|
|
println(hlog, "test_loop_point"); TEST_ALL(test_loop_point, data, 20, int);
|
|
|
|
println(hlog, "test_angledist"); TEST_ALL(test_angledist, data, 3, int);
|
|
|
|
println(hlog, "test_similarity"); TEST_ALL(test_similarity, data, 20, int);
|
|
|
|
println(hlog, "test_dissimilarity"); TEST_ALL(test_dissimilarity, data, 20, int);
|
|
|
|
println(hlog, "test_other"); TEST_ALL(test_other, data, 20, int);
|
|
|
|
println(hlog, "test_walk"); TEST_ALL(test_walk, data, 20, int);
|
|
|
|
println(hlog, "test_close"); TEST_ALL(test_close, data, 20, int);
|
|
|
|
println(hlog, "test_count"); TEST_ALL(test_count, countdata, 1, std::string);
|
|
}
|
|
|
|
}
|