1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
|
/* Copyright (C) 2024 Aryadev Chavali
* This program is distributed in the hope that it will be useful, but WITHOUT
* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
* FOR A PARTICULAR PURPOSE. See the GNU General Public License Version 2 for
* details.
* You may distribute and modify this code under the terms of the GNU General
* Public License Version 2, which you should have received a copy of along with
* this program. If not, please go to <https://www.gnu.org/licenses/>.
* Created: 2024-07-25
* Author: Aryadev Chavali
* Description: Entrypoint
*/
#include "./numerics.hpp"
#include <chrono>
#include <cmath>
#include <cstdio>
#include <iostream>
#include <sstream>
#include <stack>
#include <tuple>
#include <raylib.h>
#define WIDTH 1024
#define HEIGHT 1024
#define FONT_SIZE 20
#define CIRCLE_SIZE 2
#define LINE_TOP (7 * HEIGHT / 16)
#define LINE_BOTTOM (9 * HEIGHT / 16)
std::pair<std::string, int> get_fraction_drawable(Fraction f)
{
std::string s{to_string(f)};
int width = MeasureText(s.c_str(), FONT_SIZE);
return std::make_pair(s, width);
}
void draw_fraction(Fraction f, word_t x, word_t y)
{
std::string s;
int width;
std::tie(s, width) = get_fraction_drawable(f);
// Centered at (x, y)
DrawText(s.c_str(), x - width / 2, y - FONT_SIZE, FONT_SIZE, WHITE);
}
struct State
{
NodeAllocator allocator;
std::queue<word_t> iteration_queue;
word_t root;
struct Bounds
{
Node leftmost, rightmost;
long double lower, upper;
} bounds;
struct Iteration
{
Fraction left, centre, right;
} iteration;
State(const Fraction start) : allocator{256}
{
root = allocator.alloc(start);
iteration_queue.push(root);
bounds.leftmost = allocator.getVal(root);
bounds.rightmost = allocator.getVal(root);
compute_bounds();
}
void do_iteration(void)
{
std::tie(iteration.left, iteration.centre, iteration.right) =
iterate(iteration_queue, allocator);
compute_bound_nodes();
compute_bounds();
}
void compute_bounds()
{
bounds.lower = std::floorl(bounds.leftmost.value.norm);
bounds.upper = std::ceill(bounds.rightmost.value.norm);
}
void compute_bound_nodes()
{
bounds.leftmost = allocator.getVal(0);
while (bounds.leftmost.left.has_value())
bounds.leftmost = allocator.getVal(bounds.leftmost.left.value());
bounds.rightmost = allocator.getVal(0);
while (bounds.rightmost.right.has_value())
bounds.rightmost = allocator.getVal(bounds.rightmost.right.value());
}
constexpr word_t clamp_to_width(long double value)
{
return (WIDTH / (bounds.upper - bounds.lower)) * (value - bounds.lower);
}
void draw_bounds()
{
word_t lower_x = clamp_to_width(bounds.leftmost.value.norm);
word_t upper_x = clamp_to_width(bounds.rightmost.value.norm);
DrawLine(lower_x, LINE_TOP, lower_x, LINE_BOTTOM, WHITE);
DrawLine(upper_x, LINE_TOP, upper_x, LINE_BOTTOM, WHITE);
}
void draw_nodes()
{
std::stack<Node> stack;
stack.push(allocator.getVal(0));
while (!stack.empty())
{
Node n = stack.top();
stack.pop();
word_t x = clamp_to_width(n.value.norm);
DrawLine(x, LINE_TOP, x, LINE_BOTTOM, RED);
if (n.left.has_value())
stack.push(allocator.getVal(n.left.value()));
if (n.right.has_value())
stack.push(allocator.getVal(n.right.value()));
}
}
void draw_iteration_nodes()
{
word_t x_left = clamp_to_width(iteration.left.norm);
word_t x_centre = clamp_to_width(iteration.centre.norm);
word_t x_right = clamp_to_width(iteration.right.norm);
DrawLine(x_left, LINE_TOP, x_left, LINE_BOTTOM, BLUE);
DrawLine(x_right, LINE_TOP, x_right, LINE_BOTTOM, BLUE);
DrawLine(x_centre, LINE_TOP, x_centre, LINE_BOTTOM, GREEN);
}
};
using Clock = std::chrono::steady_clock;
using Ms = std::chrono::milliseconds;
int main(void)
{
// Setup state
State state{{1, 1}};
// Setup meta text (counter, iterations, etc)
word_t count = 1, prev_count = 0;
std::stringstream format_stream;
std::string format_str;
word_t format_str_width = 0;
Fraction previous_leftmost, previous_rightmost;
// Setup timer
auto time_current = Clock::now();
auto time_previous = time_current;
constexpr auto time_delta = 1;
InitWindow(WIDTH, HEIGHT, "Calkin-Wilf Tree");
while (!WindowShouldClose())
{
// timer logic
time_current = Clock::now();
if (std::chrono::duration_cast<Ms>(time_current - time_previous).count() >=
time_delta)
{
time_previous = time_current;
state.do_iteration();
count += 2;
}
// Input logic
if (IsKeyPressed(KEY_SPACE))
{
state.do_iteration();
count += 2;
}
// Meta text logic
if (prev_count != count)
{
prev_count = count;
format_stream << "Count=" << count << "\n\n"
<< "Iterations=" << (count - 1) / 2 << "\n\n"
<< "Lower=" << to_string(state.bounds.leftmost.value)
<< "\n\n"
<< "Upper=" << to_string(state.bounds.rightmost.value);
format_str = format_stream.str();
format_stream.str("");
format_str_width = MeasureText(format_str.c_str(), FONT_SIZE * 2);
}
ClearBackground(BLACK);
BeginDrawing();
DrawLine(0, HEIGHT / 2, WIDTH, HEIGHT / 2, WHITE);
state.draw_nodes();
state.draw_bounds();
state.draw_iteration_nodes();
DrawText(format_str.c_str(), WIDTH / 2 - format_str_width / 2, HEIGHT / 8,
FONT_SIZE, WHITE);
EndDrawing();
}
CloseWindow();
return 0;
}
|
