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aperiodic-hat.cpp
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aperiodic-hat.cpp
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// Hyperbolic Rogue -- Kite-and-dart tiling
// Copyright (C) 2011-2019 Zeno Rogue, see 'hyper.cpp' for details
/** \file aperiodic-hat.cpp
* \brief Aperiodic Hat tiling, based on https://arxiv.org/pdf/2303.10798.pdf
*/
#include "hyper.h"
namespace hr {
EX namespace hat {
EX bool in() { return cgflags & qHAT; }
struct rule_base {
int id0, edge0, id1, edge1, master_connection;
};
struct rule_recursive {
int id0, id1, child, parent, rev_child;
};
vector<rule_base> rules_base = {
rule_base{0, 0, 4, 6, -1},
{0, 10, 2, 6, -1},
{0, 11, 2, 5, -1},
{0, 12, 4, 8, -1},
{0, 13, 4, 7, -1},
{0, 1, 4, 5, -1},
{0, 2, 5, 6, -1},
{0, 3, 5, 5, -1},
{0, 4, 1, 0, -1},
{0, 5, 1, 13, -1},
{0, 6, 1, 12, -1},
{0, 7, 1, 11, -1},
{0, 8, 2, 8, -1},
{0, 9, 2, 7, -1},
{1, 0, 0, 4, -1},
{1, 10, 2, 9, -1},
{1, 11, 0, 7, -1},
{1, 12, 0, 6, -1},
{1, 13, 0, 5, -1},
{1, 1, 6, 6, -1},
{1, 2, 6, 5, -1},
{1, 3, 6, 4, -1},
{1, 4, 2, 13, 24},
{1, 4, 3, 13, 33},
{1, 4, 4, 13, 8},
{1, 4, 5, 13, 13},
{1, 4, 6, 13, 18},
{1, 4, 7, 13, 10},
{1, 5, 2, 12, 24},
{1, 5, 3, 12, 33},
{1, 5, 4, 12, 8},
{1, 5, 5, 12, 13},
{1, 5, 6, 12, 18},
{1, 5, 7, 12, 10},
{1, 6, 2, 11, 24},
{1, 6, 3, 11, 33},
{1, 6, 4, 11, 8},
{1, 6, 5, 11, 13},
{1, 6, 6, 11, 18},
{1, 6, 7, 11, 10},
{1, 7, 3, 0, 28},
{1, 7, 3, 4, 8},
{1, 7, 6, 0, 17},
{1, 7, 7, 0, 32},
{1, 8, 3, 13, 28},
{1, 8, 3, 3, 8},
{1, 8, 6, 13, 17},
{1, 8, 7, 13, 32},
{1, 9, 3, 12, 28},
{1, 9, 3, 2, 8},
{1, 9, 6, 12, 17},
{1, 9, 7, 12, 32},
{2, 0, 2, 13, 21},
{2, 0, 3, 13, 23},
{2, 0, 5, 13, 31},
{2, 0, 6, 3, 22},
{2, 10, 3, 11, 28},
{2, 10, 3, 1, 8},
{2, 10, 6, 11, 17},
{2, 10, 7, 11, 32},
{2, 11, 1, 6, 22},
{2, 11, 3, 10, 28},
{2, 11, 6, 10, 17},
{2, 11, 7, 10, 32},
{2, 1, 2, 12, 21},
{2, 12, 1, 5, 22},
{2, 12, 2, 1, 28},
{2, 12, 3, 1, 32},
{2, 12, 5, 1, 17},
{2, 1, 3, 12, 23},
{2, 13, 1, 4, 22},
{2, 13, 2, 0, 28},
{2, 13, 3, 0, 32},
{2, 13, 5, 0, 17},
{2, 1, 5, 12, 31},
{2, 1, 6, 2, 22},
{2, 2, 3, 9, -1},
{2, 3, 3, 8, -1},
{2, 4, 3, 7, -1},
{2, 5, 0, 11, -1},
{2, 6, 0, 10, -1},
{2, 7, 0, 9, -1},
{2, 8, 0, 8, -1},
{2, 9, 1, 10, -1},
{3, 0, 1, 7, 21},
{3, 0, 2, 13, 15},
{3, 0, 5, 13, 27},
{3, 0, 6, 3, 16},
{3, 0, 7, 3, 31},
{3, 10, 2, 11, 21},
{3, 10, 3, 11, 23},
{3, 10, 5, 11, 31},
{3, 10, 6, 1, 22},
{3, 11, 1, 6, 16},
{3, 11, 2, 10, 21},
{3, 11, 3, 10, 23},
{3, 11, 5, 10, 31},
{3, 1, 2, 10, 11},
{3, 1, 2, 12, 15},
{3, 12, 1, 5, 16},
{3, 12, 1, 9, 21},
{3, 12, 2, 1, 23},
{3, 12, 4, 1, 31},
{3, 13, 1, 4, 16},
{3, 13, 1, 8, 21},
{3, 13, 2, 0, 23},
{3, 13, 4, 0, 31},
{3, 1, 5, 12, 27},
{3, 1, 6, 2, 16},
{3, 1, 7, 2, 31},
{3, 2, 1, 9, 11},
{3, 2, 7, 9, -1},
{3, 3, 1, 8, 11},
{3, 3, 7, 8, -1},
{3, 4, 1, 7, 11},
{3, 4, 7, 7, -1},
{3, 5, 4, 10, -1},
{3, 6, 4, 9, -1},
{3, 7, 2, 4, -1},
{3, 8, 2, 3, -1},
{3, 9, 2, 2, -1},
{4, 0, 3, 13, 14},
{4, 0, 6, 13, 26},
{4, 0, 6, 3, 11},
{4, 0, 7, 13, 20},
{4, 10, 3, 5, -1},
{4, 11, 1, 6, 11},
{4, 11, 7, 6, -1},
{4, 12, 1, 5, 11},
{4, 12, 7, 5, -1},
{4, 1, 3, 12, 14},
{4, 13, 1, 4, 11},
{4, 13, 7, 4, -1},
{4, 1, 6, 12, 26},
{4, 1, 6, 2, 11},
{4, 1, 7, 12, 20},
{4, 2, 5, 9, -1},
{4, 3, 5, 8, -1},
{4, 4, 5, 7, -1},
{4, 5, 0, 1, -1},
{4, 6, 0, 0, -1},
{4, 7, 0, 13, -1},
{4, 8, 0, 12, -1},
{4, 9, 3, 6, -1},
{5, 0, 2, 13, 29},
{5, 0, 5, 13, 19},
{5, 0, 6, 3, 30},
{5, 10, 3, 11, 14},
{5, 10, 6, 1, 11},
{5, 10, 6, 11, 26},
{5, 10, 7, 11, 20},
{5, 11, 1, 6, 30},
{5, 11, 3, 10, 14},
{5, 11, 6, 10, 26},
{5, 11, 7, 10, 20},
{5, 1, 2, 12, 29},
{5, 12, 1, 5, 30},
{5, 12, 2, 1, 14},
{5, 12, 3, 1, 20},
{5, 12, 5, 1, 26},
{5, 13, 1, 4, 30},
{5, 13, 2, 0, 14},
{5, 13, 3, 0, 20},
{5, 13, 5, 0, 26},
{5, 1, 5, 12, 19},
{5, 1, 6, 2, 30},
{5, 2, 6, 9, -1},
{5, 3, 6, 8, -1},
{5, 4, 6, 7, -1},
{5, 5, 0, 3, -1},
{5, 6, 0, 2, -1},
{5, 7, 4, 4, -1},
{5, 8, 4, 3, -1},
{5, 9, 4, 2, -1},
{6, 0, 1, 7, 29},
{6, 0, 6, 3, 25},
{6, 0, 7, 3, 19},
{6, 10, 2, 11, 29},
{6, 10, 5, 11, 19},
{6, 10, 6, 1, 30},
{6, 11, 1, 6, 25},
{6, 11, 2, 10, 29},
{6, 11, 5, 10, 19},
{6, 12, 1, 5, 25},
{6, 12, 1, 9, 29},
{6, 12, 4, 1, 19},
{6, 1, 3, 10, 24},
{6, 13, 1, 4, 25},
{6, 13, 1, 8, 29},
{6, 13, 4, 0, 19},
{6, 1, 5, 10, 8},
{6, 1, 6, 10, 13},
{6, 1, 6, 2, 25},
{6, 1, 7, 10, 33},
{6, 1, 7, 2, 19},
{6, 2, 2, 1, 24},
{6, 2, 3, 1, 33},
{6, 2, 4, 1, 8},
{6, 2, 5, 1, 13},
{6, 2, 6, 1, 18},
{6, 2, 7, 1, 10},
{6, 3, 2, 0, 24},
{6, 3, 3, 0, 33},
{6, 3, 4, 0, 8},
{6, 3, 5, 0, 13},
{6, 3, 6, 0, 18},
{6, 3, 7, 0, 10},
{6, 4, 1, 3, -1},
{6, 5, 1, 2, -1},
{6, 6, 1, 1, -1},
{6, 7, 5, 4, -1},
{6, 8, 5, 3, -1},
{6, 9, 5, 2, -1},
{7, 0, 1, 7, 15},
{7, 0, 6, 3, 12},
{7, 0, 7, 3, 27},
{7, 10, 2, 11, 15},
{7, 10, 5, 11, 27},
{7, 10, 6, 1, 16},
{7, 10, 7, 1, 31},
{7, 11, 1, 6, 12},
{7, 11, 2, 10, 15},
{7, 11, 5, 10, 27},
{7, 12, 1, 5, 12},
{7, 12, 1, 9, 15},
{7, 12, 4, 1, 27},
{7, 13, 1, 4, 12},
{7, 13, 1, 8, 15},
{7, 13, 4, 0, 27},
{7, 1, 6, 2, 12},
{7, 1, 7, 10, 14},
{7, 1, 7, 2, 27},
{7, 2, 3, 1, 14},
{7, 2, 6, 1, 26},
{7, 2, 7, 1, 20},
{7, 3, 3, 0, 14},
{7, 3, 6, 0, 26},
{7, 3, 7, 0, 20},
{7, 4, 4, 13, -1},
{7, 5, 4, 12, -1},
{7, 6, 4, 11, -1},
{7, 7, 3, 4, -1},
{7, 8, 3, 3, -1},
{7, 9, 3, 2, -1},
};
vector<rule_recursive> rules_recursive = {
rule_recursive{0, 0, -1, -1, -1},
{0, 1, 10, 18, 12},
{0, 1, 25, -1, 18},
{0, 1, 32, 17, 15},
{0, 2, 10, 13, 12},
{0, 2, 30, -1, 13},
{0, 3, 10, 8, 12},
{0, 3, 11, -1, 8},
{0, 4, 10, 24, 12},
{0, 4, 21, -1, 28},
{0, 5, 10, 33, 12},
{0, 5, 17, 8, 29},
{0, 5, 32, 28, 15},
{0, 6, 10, 10, 12},
{0, 6, 32, 32, 15},
{1, 0, 12, 25, 10},
{1, 0, 15, 29, 32},
{1, 0, 18, -1, 25},
{1, 1, -1, -1, -1},
{1, 1, 14, 13, 31},
{1, 1, 19, 18, 26},
{1, 1, 26, 25, 19},
{1, 1, 31, 30, 14},
{1, 2, 14, 8, 31},
{1, 2, 17, -1, 29},
{1, 2, 19, 13, 26},
{1, 2, 23, 19, 23},
{1, 3, 19, 8, 26},
{1, 3, 27, 19, 20},
{1, 4, 19, 24, 26},
{1, 4, 23, 29, 23},
{1, 5, 14, 24, 31},
{1, 5, 19, 33, 26},
{1, 6, 14, 33, 31},
{1, 6, 19, 10, 26},
{1, 6, 26, 19, 19},
{2, 0, 12, 30, 10},
{2, 0, 13, -1, 30},
{2, 1, 23, 26, 23},
{2, 1, 26, 30, 19},
{2, 1, 29, -1, 17},
{2, 1, 31, 11, 14},
{2, 2, -1, -1, -1},
{2, 2, 20, 19, 27},
{2, 2, 27, 26, 20},
{2, 3, 17, -1, 29},
{2, 4, 20, 29, 27},
{2, 4, 27, 14, 20},
{2, 5, 23, 14, 23},
{2, 5, 27, 20, 20},
{2, 6, 23, 20, 23},
{3, 0, 12, 11, 10},
{3, 0, 8, -1, 11},
{3, 1, 20, 26, 27},
{3, 1, 26, 11, 19},
{3, 2, 29, -1, 17},
{3, 3, -1, -1, -1},
{3, 4, 22, -1, 24},
{3, 5, 16, -1, 33},
{3, 5, 20, 14, 27},
{3, 6, 12, -1, 10},
{3, 6, 20, 20, 27},
{4, 0, 12, 22, 10},
{4, 0, 28, -1, 21},
{4, 1, 23, 17, 23},
{4, 1, 26, 22, 19},
{4, 2, 20, 31, 27},
{4, 2, 27, 17, 20},
{4, 3, 24, -1, 22},
{4, 4, -1, -1, -1},
{4, 4, 20, 21, 27},
{4, 4, 27, 28, 20},
{4, 5, 20, 23, 27},
{4, 5, 23, 28, 23},
{4, 5, 27, 32, 20},
{4, 5, 29, -1, 17},
{4, 5, 31, 8, 14},
{4, 6, 23, 32, 23},
{5, 0, 12, 16, 10},
{5, 0, 15, 21, 32},
{5, 0, 29, 11, 17},
{5, 1, 26, 16, 19},
{5, 1, 31, 22, 14},
{5, 2, 20, 27, 27},
{5, 2, 23, 31, 23},
{5, 3, 27, 31, 20},
{5, 3, 33, -1, 16},
{5, 4, 14, 11, 31},
{5, 4, 17, -1, 29},
{5, 4, 20, 15, 27},
{5, 4, 23, 21, 23},
{5, 4, 27, 23, 20},
{5, 5, -1, -1, -1},
{5, 5, 23, 23, 23},
{5, 6, 26, 31, 19},
{5, 6, 29, -1, 17},
{6, 0, 12, 12, 10},
{6, 0, 15, 15, 32},
{6, 1, 19, 26, 26},
{6, 1, 26, 12, 19},
{6, 1, 31, 16, 14},
{6, 2, 23, 27, 23},
{6, 3, 10, -1, 12},
{6, 3, 27, 27, 20},
{6, 4, 23, 15, 23},
{6, 5, 17, -1, 29},
{6, 5, 19, 14, 26},
{6, 6, -1, -1, -1},
{6, 6, 14, 14, 31},
{6, 6, 19, 20, 26},
{6, 6, 26, 27, 19},
{6, 6, 31, 31, 14},
};
vector<rule_base> spectre_rules_base = { rule_base
{0, 0, 5, 5, -1},
{0, 10, 7, 7, -1},
{0, 11, 5, 8, -1},
{0, 12, 5, 7, -1},
{0, 13, 5, 6, -1},
{0, 1, 3, 8, -1},
{0, 2, 3, 7, -1},
{0, 3, 3, 6, -1},
{0, 4, 3, 5, -1},
{0, 5, 1, 0, -1},
{0, 6, 1, 13, -1},
{0, 7, 1, 12, -1},
{0, 8, 1, 11, -1},
{0, 9, 7, 8, -1},
{1, 0, 0, 5, -1},
{1, 10, 7, 9, -1},
{1, 11, 0, 8, -1},
{1, 12, 0, 7, -1},
{1, 1, 2, 6, -1},
{1, 13, 0, 6, -1},
{1, 2, 2, 5, -1},
{1, 3, 2, 4, -1},
{1, 4, 2, 13, 20},
{1, 4, 3, 13, 14},
{1, 4, 6, 13, 30},
{1, 4, 7, 13, 26},
{1, 4, 8, 13, 15},
{1, 5, 2, 12, 20},
{1, 5, 3, 12, 14},
{1, 5, 6, 12, 30},
{1, 5, 7, 12, 26},
{1, 5, 8, 12, 15},
{1, 6, 2, 11, 20},
{1, 6, 3, 11, 14},
{1, 6, 6, 11, 30},
{1, 6, 7, 11, 26},
{1, 6, 8, 11, 15},
{1, 7, 2, 0, 13},
{1, 7, 4, 0, 29},
{1, 7, 4, 4, 14},
{1, 7, 6, 0, 25},
{1, 7, 8, 0, 9},
{1, 8, 2, 13, 13},
{1, 8, 4, 13, 29},
{1, 8, 4, 3, 14},
{1, 8, 6, 13, 25},
{1, 8, 8, 13, 9},
{1, 9, 2, 12, 13},
{1, 9, 4, 12, 29},
{1, 9, 4, 2, 14},
{1, 9, 6, 12, 25},
{1, 9, 8, 12, 9},
{2, 0, 1, 7, 31},
{2, 0, 2, 3, 27},
{2, 0, 6, 3, 16},
{2, 0, 8, 3, 22},
{2, 10, 2, 11, 22},
{2, 10, 2, 1, 32},
{2, 10, 4, 11, 16},
{2, 10, 7, 11, 31},
{2, 11, 1, 6, 27},
{2, 11, 2, 10, 22},
{2, 11, 4, 10, 16},
{2, 11, 7, 10, 31},
{2, 1, 2, 10, 14},
{2, 12, 1, 5, 27},
{2, 12, 1, 9, 31},
{2, 1, 2, 2, 27},
{2, 12, 3, 1, 22},
{2, 12, 5, 1, 16},
{2, 13, 1, 4, 27},
{2, 13, 1, 8, 31},
{2, 13, 3, 0, 22},
{2, 13, 5, 0, 16},
{2, 1, 6, 10, 26},
{2, 1, 6, 2, 16},
{2, 1, 8, 2, 22},
{2, 2, 2, 1, 20},
{2, 2, 3, 1, 14},
{2, 2, 6, 1, 30},
{2, 2, 7, 1, 26},
{2, 2, 8, 1, 15},
{2, 3, 2, 0, 20},
{2, 3, 3, 0, 14},
{2, 3, 6, 0, 30},
{2, 3, 7, 0, 26},
{2, 3, 8, 0, 15},
{2, 4, 1, 3, -1},
{2, 5, 1, 2, -1},
{2, 6, 1, 1, -1},
{2, 7, 3, 4, -1},
{2, 8, 3, 3, -1},
{2, 9, 3, 2, -1},
{3, 0, 2, 13, 22},
{3, 0, 2, 3, 32},
{3, 0, 4, 13, 16},
{3, 0, 7, 13, 31},
{3, 10, 4, 5, -1},
{3, 11, 1, 6, 32},
{3, 11, 8, 6, -1},
{3, 1, 2, 12, 22},
{3, 12, 1, 5, 32},
{3, 1, 2, 2, 32},
{3, 12, 8, 5, -1},
{3, 13, 1, 4, 32},
{3, 13, 8, 4, -1},
{3, 1, 4, 12, 16},
{3, 1, 7, 12, 31},
{3, 2, 2, 9, -1},
{3, 3, 2, 8, -1},
{3, 4, 2, 7, -1},
{3, 5, 0, 4, -1},
{3, 6, 0, 3, -1},
{3, 7, 0, 2, -1},
{3, 8, 0, 1, -1},
{3, 9, 4, 6, -1},
{4, 0, 1, 7, 11},
{4, 0, 4, 13, 21},
{4, 0, 7, 13, 10},
{4, 0, 8, 3, 28},
{4, 10, 2, 11, 28},
{4, 10, 6, 11, 19},
{4, 10, 7, 11, 11},
{4, 10, 8, 11, 23},
{4, 11, 2, 10, 28},
{4, 11, 6, 10, 19},
{4, 11, 7, 10, 11},
{4, 11, 8, 10, 23},
{4, 12, 1, 9, 11},
{4, 12, 3, 1, 28},
{4, 12, 4, 1, 23},
{4, 12, 7, 1, 19},
{4, 13, 1, 8, 11},
{4, 13, 3, 0, 28},
{4, 13, 4, 0, 23},
{4, 13, 7, 0, 19},
{4, 1, 4, 12, 21},
{4, 1, 7, 10, 32},
{4, 1, 7, 12, 10},
{4, 1, 8, 2, 28},
{4, 2, 1, 9, 32},
{4, 2, 8, 9, -1},
{4, 3, 1, 8, 32},
{4, 3, 8, 8, -1},
{4, 4, 1, 7, 32},
{4, 4, 8, 7, -1},
{4, 5, 3, 10, -1},
{4, 6, 3, 9, -1},
{4, 7, 5, 4, -1},
{4, 8, 5, 3, -1},
{4, 9, 5, 2, -1},
{5, 0, 2, 13, 28},
{5, 0, 6, 13, 19},
{5, 0, 7, 13, 11},
{5, 0, 8, 13, 23},
{5, 10, 7, 5, -1},
{5, 11, 6, 6, -1},
{5, 1, 2, 12, 28},
{5, 12, 6, 5, -1},
{5, 13, 6, 4, -1},
{5, 1, 6, 12, 19},
{5, 1, 7, 12, 11},
{5, 1, 8, 12, 23},
{5, 2, 4, 9, -1},
{5, 3, 4, 8, -1},
{5, 4, 4, 7, -1},
{5, 5, 0, 0, -1},
{5, 6, 0, 13, -1},
{5, 7, 0, 12, -1},
{5, 8, 0, 11, -1},
{5, 9, 7, 6, -1},
{6, 0, 1, 7, 17},
{6, 0, 2, 3, 12},
{6, 0, 6, 3, 24},
{6, 10, 2, 1, 18},
{6, 10, 4, 11, 24},
{6, 10, 6, 1, 29},
{6, 10, 7, 11, 17},
{6, 10, 8, 1, 13},
{6, 11, 1, 6, 12},
{6, 11, 4, 10, 24},
{6, 11, 7, 10, 17},
{6, 12, 1, 5, 12},
{6, 12, 1, 9, 17},
{6, 1, 2, 2, 12},
{6, 12, 5, 1, 24},
{6, 13, 1, 4, 12},
{6, 13, 1, 8, 17},
{6, 13, 5, 0, 24},
{6, 1, 6, 10, 11},
{6, 1, 6, 2, 24},
{6, 2, 2, 1, 28},
{6, 2, 6, 1, 19},
{6, 2, 7, 1, 11},
{6, 2, 8, 1, 23},
{6, 3, 2, 0, 28},
{6, 3, 6, 0, 19},
{6, 3, 7, 0, 11},
{6, 3, 8, 0, 23},
{6, 4, 5, 13, -1},
{6, 5, 5, 12, -1},
{6, 6, 5, 11, -1},
{6, 7, 7, 4, -1},
{6, 8, 7, 3, -1},
{6, 9, 7, 2, -1},
{7, 0, 2, 3, 18},
{7, 0, 4, 13, 24},
{7, 0, 6, 3, 29},
{7, 0, 7, 13, 17},
{7, 0, 8, 3, 13},
{7, 10, 2, 11, 13},
{7, 10, 4, 11, 29},
{7, 10, 4, 1, 14},
{7, 10, 6, 11, 25},
{7, 10, 8, 11, 9},
{7, 11, 1, 6, 18},
{7, 11, 2, 10, 13},
{7, 11, 4, 10, 29},
{7, 11, 6, 10, 25},
{7, 11, 8, 10, 9},
{7, 12, 1, 5, 18},
{7, 1, 2, 2, 18},
{7, 12, 3, 1, 13},
{7, 12, 4, 1, 9},
{7, 12, 5, 1, 29},
{7, 12, 7, 1, 25},
{7, 13, 1, 4, 18},
{7, 13, 3, 0, 13},
{7, 13, 4, 0, 9},
{7, 13, 5, 0, 29},
{7, 13, 7, 0, 25},
{7, 1, 4, 12, 24},
{7, 1, 6, 2, 29},
{7, 1, 7, 12, 17},
{7, 1, 8, 2, 13},
{7, 2, 6, 9, -1},
{7, 3, 6, 8, -1},
{7, 4, 6, 7, -1},
{7, 5, 5, 10, -1},
{7, 6, 5, 9, -1},
{7, 7, 0, 10, -1},
{7, 8, 0, 9, -1},
{7, 9, 1, 10, -1},
{8, 0, 1, 7, 10},
{8, 0, 2, 3, 33},
{8, 0, 6, 3, 21},
{8, 10, 4, 11, 21},
{8, 10, 7, 11, 10},
{8, 10, 8, 1, 28},
{8, 11, 1, 6, 33},
{8, 11, 4, 10, 21},
{8, 11, 7, 10, 10},
{8, 12, 1, 5, 33},
{8, 12, 1, 9, 10},
{8, 1, 2, 2, 33},
{8, 12, 5, 1, 21},
{8, 13, 1, 4, 33},
{8, 13, 1, 8, 10},
{8, 13, 5, 0, 21},
{8, 1, 6, 10, 31},
{8, 1, 6, 2, 21},
{8, 1, 8, 10, 16},
{8, 2, 2, 1, 22},
{8, 2, 4, 1, 16},
{8, 2, 7, 1, 31},
{8, 3, 2, 0, 22},
{8, 3, 4, 0, 16},
{8, 3, 7, 0, 31},
{8, 4, 3, 13, -1},
{8, 5, 3, 12, -1},
{8, 6, 3, 11, -1},
{8, 7, 4, 4, -1},
{8, 8, 4, 3, -1},
{8, 9, 4, 2, -1},
};
vector<rule_recursive> spectre_rules_recursive = { rule_recursive
{0, 1, 27, -1, 20},
{0, 1, 9, 18, 10},
{0, 2, 32, -1, 14},
{0, 3, 11, -1, 29},
{0, 3, 9, 32, 10},
{0, 4, 15, 31, 33},
{0, 4, 17, -1, 25},
{0, 4, 9, 27, 10},
{0, 5, 15, 17, 33},
{0, 5, 9, 12, 10},
{0, 6, 15, 11, 33},
{0, 6, 30, 32, 12},
{0, 7, 15, 10, 33},
{0, 7, 9, 33, 10},
{1, 0, 10, 26, 9},
{1, 0, 20, -1, 27},
{1, 1, 21, 17, 23},
{1, 1, 23, 25, 21},
{1, 2, 13, -1, 31},
{1, 2, 21, 11, 23},
{1, 3, 21, 31, 23},
{1, 4, 19, 26, 24},
{1, 4, 22, 31, 22},
{1, 5, 12, -1, 30},
{1, 5, 19, 11, 24},
{1, 5, 22, 17, 22},
{1, 6, 16, 32, 28},
{1, 6, 21, 10, 23},
{1, 6, 22, 11, 22},
{1, 6, 23, 19, 21},
{1, 7, 19, 31, 24},
{1, 7, 22, 10, 22},
{2, 0, 14, -1, 32},
{2, 1, 23, 29, 21},
{2, 1, 31, -1, 13},
{2, 3, 18, -1, 26},
{2, 4, 23, 16, 21},
{2, 5, 10, -1, 9},
{2, 5, 23, 24, 21},
{2, 6, 12, -1, 30},
{2, 7, 23, 21, 21},
{3, 0, 10, 14, 9},
{3, 0, 29, -1, 11},
{3, 1, 23, 13, 21},
{3, 2, 26, -1, 18},
{3, 4, 12, -1, 30},
{3, 4, 19, 14, 24},
{3, 4, 23, 22, 21},
{3, 6, 23, 28, 21},
{3, 6, 31, -1, 13},
{3, 7, 10, -1, 9},
{4, 0, 10, 20, 9},
{4, 0, 25, -1, 17},
{4, 0, 33, 13, 15},
{4, 1, 22, 13, 22},
{4, 1, 24, 18, 19},
{4, 2, 21, 28, 23},
{4, 3, 21, 22, 23},
{4, 3, 24, 32, 19},
{4, 3, 30, -1, 12},
{4, 4, 16, 14, 28},
{4, 4, 19, 20, 24},
{4, 4, 22, 22, 22},
{4, 4, 24, 27, 19},
{4, 4, 28, 32, 16},
{4, 5, 19, 28, 24},
{4, 5, 24, 12, 19},
{4, 5, 28, 18, 16},
{4, 6, 22, 28, 22},
{4, 7, 19, 22, 24},
{4, 7, 24, 33, 19},
{5, 0, 10, 30, 9},
{5, 0, 33, 25, 15},
{5, 1, 22, 25, 22},
{5, 1, 24, 29, 19},
{5, 1, 30, -1, 12},
{5, 2, 21, 19, 23},
{5, 2, 9, -1, 10},
{5, 4, 16, 26, 28},
{5, 4, 19, 30, 24},
{5, 4, 24, 16, 19},
{5, 5, 16, 11, 28},
{5, 5, 19, 19, 24},
{5, 5, 24, 24, 19},
{5, 5, 28, 29, 16},
{5, 6, 22, 19, 22},
{5, 7, 16, 31, 28},
{5, 7, 24, 21, 19},
{6, 0, 12, 14, 30},
{6, 0, 33, 29, 15},
{6, 1, 21, 24, 23},
{6, 1, 22, 29, 22},
{6, 1, 23, 9, 21},
{6, 1, 28, 14, 16},
{6, 2, 30, -1, 12},
{6, 3, 13, -1, 31},
{6, 3, 21, 16, 23},
{6, 4, 22, 16, 22},
{6, 5, 22, 24, 22},
{6, 6, 21, 21, 23},
{6, 6, 23, 23, 21},
{6, 7, 12, -1, 30},
{6, 7, 19, 16, 24},
{6, 7, 22, 21, 22},
{7, 0, 10, 15, 9},
{7, 0, 33, 9, 15},
{7, 1, 22, 9, 22},
{7, 1, 24, 13, 19},
{7, 2, 21, 23, 23},
{7, 3, 9, -1, 10},
{7, 4, 19, 15, 24},
{7, 4, 24, 22, 19},
{7, 5, 19, 23, 24},
{7, 5, 28, 13, 16},
{7, 6, 22, 23, 22},
{7, 6, 24, 28, 19},
{7, 6, 30, -1, 12},
{7, 7, 16, 16, 28},
{7, 7, 28, 28, 16},
};
EX ld hat_param = 1;
EX ld hat_param_imag = 0;
struct hrmap_hat : hrmap {
// always generate the same way
std::mt19937 hatrng;
bool is_spectre;
int hatrand(int i) {
return hatrng() % i;
}
// cluster centers are of type 1, all the rest are of type 0 (they are mirror images)
int shvid(cell *c) override {
return c->master->c7 == c ? 1 : 0;
}
// vertices of each type of hat
vector<hyperpoint> hatcorners[2];
struct memo_matrix : transmatrix {
bool known;
transmatrix& get() { return (transmatrix&) (*this); }
void clear() { known = false; }
void set(const transmatrix& T) { known = true; get() = T; }
};
memo_matrix adj_memo[2][2][14][14];
vector<vector<memo_matrix>> long_transformations;
vector<rule_base> get_rules_base() { return is_spectre ? spectre_rules_base : rules_base; }
vector<rule_recursive> get_rules_recursive() { return is_spectre ? spectre_rules_recursive : rules_recursive; }
void fill_transform_levels(int lev) {
int clev = isize(long_transformations);
while(clev <= lev) {
auto& lt = long_transformations;
lt.emplace_back();
auto& last = lt.back();
last.resize(relations+1);
for(auto& t: last) t.clear();
last[0].set(Id);
last[1].set(Id);
while(true) {
int chg = 0;
int unknown = 0;
int errors = 0;
auto products_equal = [&] (memo_matrix& A, memo_matrix& B, memo_matrix& C, memo_matrix& D) {
if(A.known && B.known && C.known && D.known) {
if(!eqmatrix(A*B, C*D)) errors++;
}
else if(B.known && C.known && D.known) chg++, A.set( C * D * inverse(B) );
else if(A.known && C.known && D.known) chg++, B.set( inverse(A) * C * D );
else if(A.known && B.known && D.known) chg++, C.set( A * B * inverse(D) );
else if(A.known && B.known && C.known) chg++, D.set( inverse(C) * A * B );
else unknown++;
};
if(clev == 1) for(auto& b: get_rules_base()) {
products_equal(lt[0][b.id0+1], adj2(b.id0==0, fix(b.edge0), b.id1==0, fix(b.edge1)), lt[1][b.master_connection+1], lt[0][b.id1+1]);
}
if(clev >= 2) for(auto& b: get_rules_recursive()) {
products_equal(lt[clev][b.id0+1], lt[clev-1][b.child+1], lt[clev][b.parent+1], lt[clev][b.id1+1]);
}
if(!chg) break;
}
clev++;
}
}
void clear_adj_memo() {
for(int a=0; a<2; a++)
for(int b=0; b<2; b++)
for(int c=0; c<14; c++)
for(int d=0; d<14; d++)
adj_memo[a][b][c][d].clear();
}
void init() {
relations = 34;
transmatrix T = Id;
auto& hc = hatcorners[0];
hc.clear();
hatcorners[1].clear();
bool f = geom3::flipped;
bool emb = embedded_plane;
if(emb) geom3::light_flip(true);
ld q = 6;
ld eshort = 0.3;
ld elong = sqrt(3) * eshort;
if(fake::in()) q = fake::around;
ld eshorti = 0, elongi = 0;
if(q != 6) {
eshort = edge_of_triangle_with_angles(M_PI / q, 60._deg, 90._deg);
elong = edge_of_triangle_with_angles(60._deg, M_PI / q, 90._deg);
}
else {
eshorti = eshort * hat_param_imag;
elongi = elong * -hat_param_imag;
eshort *= hat_param;
elong *= 2 - hat_param;
// 0-length edges cause problems...
if(abs(eshort) < 1e-6) eshort = .0001;
if(abs(elong) < 1e-6) elong = .0001;
}
auto hat = [&] (vector<hyperpoint>& hc) {
auto move = [&] (ld angle, ld dist, ld disti) {
hc.push_back(T * C0);
T = T * cspin(0, 1, angle * degree);
T = T * xpush(dist);
T = T * ypush(disti);
};
auto moves = [&] (ld angle) { move(angle, eshort, eshorti); };
auto movel = [&] (ld angle) { move(angle, elong, elongi); };
ld i60 = (M_PI - TAU*2/q)/degree;
ld n60 = (M_PI - TAU*4/q)/degree;
moves(-90); moves( 60); moves( 0);
moves( 60); movel( 90); movel(n60);
moves( 90); moves(-60); movel( 90);
movel(i60); moves(-90); moves( 60);
movel( 90); movel(i60);
};
hat(hc);
#undef eshort
#undef elong
auto compute_area = [&] (vector<hyperpoint>& hc) {
ld area = 0;
for(int i=0; i<14; i++) area += (hc[(i+1)%isize(hc)] ^ hc[i]) [2];
return abs(area);
};
auto recenter = [&] (vector<hyperpoint>& hc) {
hyperpoint ctr = Hypc;
for(auto h: hc) ctr += h;
ctr /= isize(hc);
ctr = normalize(ctr);
for(auto& h: hc) h = gpushxto0(ctr) * h;
};
if(is_spectre) {
println(hlog, "eshort = ", eshort, " elong = ", elong);
swap(eshort, elong);
swap(eshorti, elongi);
hat(hatcorners[1]);
}
else if(hat_param_imag) {
eshorti *= -1;
elongi *= -1;
hat(hatcorners[1]);
}
else hatcorners[1] = hc;
if(!is_spectre) {
for(auto& h: hc) h = MirrorX * h;
reverse(hatcorners[1].begin(), hatcorners[1].end());
}
if(q == 6) {
ld phi = (1 + sqrt(5)) / 2;
ld phi4 = pow(phi, 4);
ld area = (compute_area(hatcorners[0]) * phi4 + compute_area(hatcorners[1]) * 1) / (phi4 + 1);
area = abs(area);
ld scale = sqrt(2.5 / area);
for(auto &hc: hatcorners) for(auto& h: hc) h = h * scale + (C0) * (1-scale);
}
for(auto &hc: hatcorners) recenter(hc);
clear_adj_memo();
if(q == 6) {
hyperpoint hfar =
adj2(1,9,0,7) * adj2(0,11,0,10) * adj2(0,1,0,2) * adj2(0,8,0,5) * adj2(0,11,0,10) *
adj2(0,1,0,2) * adj2(0,8,0,5) * adj2(0,11,0,2) * adj2(0,8,0,5) * adj2(0,11,0,10) *
adj2(0,1,0,2) * adj2(0,8,0,5) * adj2(0,11,0,10) * adj2(0,1,0,2) * adj2(0,8,0,5) *
adj2(0,11,0,2) * adj2(0,8,0,5) * C0;
transmatrix T = spintox(hfar);
for(auto& h: hc) h = inverse(T) * h;
for(auto& h: hatcorners[1]) h = T * h;
}
if(emb) {
geom3::light_flip(f);
for(auto i:{0, 1}) for(auto& p: hatcorners[i]) {
p = cgi.emb->base_to_actual(p);
}
}
clear_adj_memo();
long_transformations.clear();
}
int relations;
// heptagons represent clusters
// heptagon->distance is 0 for clusters of hats, d+1 for supercluster of heptagon d
// heptagon->zebraval is 1 for central, 0 for non-central
// 0 is supercluster, 1..(7-zebraval) are child clusters, 8..(relations-1) are nearby clusters on the same level