/* 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 . * Created: 2024-07-25 * Author: Aryadev Chavali * Description: Entrypoint */ #include "./numerics.hpp" #include #include #include #include #include #include #include #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) void draw_fraction(Fraction f, word_t x, word_t y) { std::string s{to_string(f)}; // Centered at (x, y) int width = MeasureText(s.c_str(), FONT_SIZE); DrawText(s.c_str(), x - width / 2, y - FONT_SIZE, FONT_SIZE, WHITE); } struct State { NodeAllocator allocator; std::queue 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); draw_fraction(bounds.leftmost.value, lower_x, 3 * HEIGHT / 8); draw_fraction(bounds.rightmost.value, upper_x, 3 * HEIGHT / 8); 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 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); } }; int main(void) { // Setup state State state{{1, 2}}; // 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; InitWindow(WIDTH, HEIGHT, "Calkin-Wilf Tree"); while (!WindowShouldClose()) { if (IsKeyPressed(KEY_SPACE)) { state.do_iteration(); count += 2; } if (prev_count != count) { prev_count = count; format_stream << "Count=" << count << "\n\n"; format_stream << "Iterations=" << (count - 1) / 2; 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, LINE_TOP - HEIGHT / 4, FONT_SIZE * 2, WHITE); EndDrawing(); } CloseWindow(); return 0; }