#include #include #include #include #include #if defined(_WIN32) #define WIN32_LEAN_AND_MEAN #define VC_EXTRALEAN #include #define STEP_ROT_X 0.157079633 #define STEP_ROT_Y 0.078539816 #define STEP_THETA 0.130899694 #define STEP_ALPHA 0.065449847 #elif defined(__linux__) #include #include #define STEP_ROT_X 0.012271846 #define STEP_ROT_Y 0.006135923 #define STEP_THETA 0.024543693 #define STEP_ALPHA 0.016028534 #endif // Clears the terminal void clear_terminal() { #if defined(_WIN32) HANDLE hOut; COORD Position; hOut = GetStdHandle(STD_OUTPUT_HANDLE); Position.X = 0; Position.Y = 0; SetConsoleCursorPosition(hOut, Position); #elif defined(__linux__) printf("\e[1;1H\e[2J"); #endif } // Function allocates memory for the frame buffer char **allocate_memory(int size) { char **array = malloc(size * sizeof(char *)); for (int i = 0; i < size; ++i) array[i] = malloc(size * sizeof(char)); return array; } // Function gets the size of the terminal int terminal_size() { int size; #if defined(_WIN32) CONSOLE_SCREEN_BUFFER_INFO c; GetConsoleScreenBufferInfo(GetStdHandle(STD_OUTPUT_HANDLE), &c); int row = (int)(c.srWindow.Bottom - c.srWindow.Top + 1); int col = (int)(c.srWindow.Right - c.srWindow.Left + 1); size = row < col ? row : col; #elif defined(__linux__) struct winsize w; ioctl(STDOUT_FILENO, TIOCGWINSZ, &w); size = w.ws_row < w.ws_col ? (int)w.ws_row : (int)w.ws_col; #endif return size; } // Function dumps the frame into the terminal void dump_frame(char **frame, int size) { for (int i = 0; i < size; ++i) { for (int j = 0; j < size; ++j) putchar(frame[i][j]); putchar('\n'); } } // Function builds the frame and returns the frame buffer char **build_frame(char **frame, int size, int i, int k) { float x = i * STEP_ROT_X; // Rotational speed around the x axis float y = i * STEP_ROT_Y; // Rotational speed around the y axis float cos_x = cos(x), sin_x = sin(x); // Precomputing sines and cosines of x float cos_y = cos(y), sin_y = sin(y); // Precomputing sines and cosines of y float z_buffer[size][size]; // Declaring buffer for storing z coordinates // Initializing frame buffer and z buffer for (int i = 0; i < size; ++i) for (int j = 0; j < size; ++j) { frame[i][j] = ' '; z_buffer[i][j] = 0; } // Loop uses theta to revolve a point around the center of the circle // 6.283186 = 2 * Pi = 360° for (float theta = 0; theta < 6.283186; theta += STEP_THETA) { // Precomputing sines and cosines of theta float cos_theta = cos(theta), sin_theta = sin(theta); // Loop uses alpha to revolve the circle around the center of the torus for (float alpha = 0; alpha < 6.283186; alpha += STEP_ALPHA) { // Precomputing sines and cosines of alpha float cos_alpha = cos(alpha), sin_alpha = sin(alpha); // Calculating the x and y coordinates of the circle before the // revolution float circle_x = 2 + 1 * cos_theta, circle_y = 1 * sin_theta; // Calculating the x and y coordinates after the revolution float x = circle_x * (cos_y * cos_alpha + sin_x * sin_y * sin_alpha) - circle_y * cos_x * sin_y; float y = circle_x * (sin_y * cos_alpha - sin_x * cos_y * sin_alpha) + circle_y * cos_x * cos_y; // Calculating z float z = 5 + cos_x * circle_x * sin_alpha + circle_y * sin_x; // Calculating the inverse of z float z_inv = 1 / z; // Calculating x and y coordinates of the 2D projection int x_proj = size / 2 + k * z_inv * x; int y_proj = size / 2 - k * z_inv * y; // Calculating luminous intensity float lumi_int = cos_alpha * cos_theta * sin_y - cos_x * cos_theta * sin_alpha - sin_x * sin_theta + cos_y * (cos_x * sin_theta - cos_theta * sin_x * sin_alpha); /* Checking if surface is pointing away from the point of view * Also checking if the point is closer than any other point * previously plotted */ if (lumi_int > 0 && z_inv > z_buffer[x_proj][y_proj]) { z_buffer[x_proj][y_proj] = z_inv; // Bringing the value of luminance between 0 to 11 int lumi_idx = lumi_int * 8; /* Storing an appropriate character that represents the correct * amount of luminance */ frame[x_proj][y_proj] = ".,-~:;=!*#$@"[lumi_idx]; } } } // Returning the frame buffer return frame; } int main(int argc, char **argv) { // Getting the size of the terminal int size = terminal_size(); // Allocating memory to the frame buffer char **frame = allocate_memory(size); int k = size * 5 * 3 / (8 * (1 + 2)); if (argc > 1 && (strcmp(argv[1], "-d") == 0 || strcmp(argv[1], "--enable-dynamic-resolution") == 0)) { // Loop rotates the torus around both the axes for (int i = 0; true; i++) { if (i % 256 == 1 && size - terminal_size() != 0) { // Getting the size of the terminal size = terminal_size(); // Allocating memory to the frame buffer frame = allocate_memory(size); k = size * 5 * 3 / (8 * (1 + 2)); } // Building and dumping the frame into the terminal dump_frame(build_frame(frame, size, i, k), size); // Clears the screen clear_terminal(); } } else { for (int i = 0; true; ++i) { // Building and dumping the frame into the terminal dump_frame(build_frame(frame, size, i, k), size); // Clears the screen clear_terminal(); } } return 0; }