#include "raycaster.hpp" using namespace fmt; #define rgba_color(r,g,b,a) (r<<(0*8))|(g<<(1*8))|(b<<(2*8))|(a<<(3*8)) #define gray_color(c) rgba_color(c, c, c, 255) //parameters for scaling and moving the sprites #define uDiv 1 #define vDiv 1 inline void RGBA_brightness(RGBA& pixel, double distance) { pixel.color.r /= distance; pixel.color.g /= distance; pixel.color.b /= distance; } inline size_t pixcoord(int x, int y) { return ((y) * RAY_VIEW_WIDTH) + (x); } Raycaster::Raycaster(sf::RenderWindow& window) : $window(window) { $window.setVerticalSyncEnabled(true); view_texture.create(RAY_VIEW_WIDTH, RAY_VIEW_HEIGHT); view_sprite.setTexture(view_texture); view_sprite.setPosition(RAY_VIEW_X, 0); pixels = new RGBA[RAY_VIEW_WIDTH * RAY_VIEW_HEIGHT]; SPRITE = {{4.0, 3.55, 0, 8}}; MAP = {{8,8,8,8,8,8,8,8,8}, {8,0,2,0,0,0,0,0,8}, {8,0,7,0,0,5,6,0,8}, {8,0,0,0,0,0,0,0,8}, {8,8,0,0,0,0,0,8,8}, {8,0,0,1,3,4,0,0,8}, {8,0,0,0,0,0,8,8,8}, {8,0,0,0,0,0,0,0,8}, {8,8,8,8,8,8,8,8,8} }; TILE_SIZE = RAY_VIEW_HEIGHT / matrix::width(MAP); // x and y start position posX = player_x / TILE_SIZE; posY = player_y / TILE_SIZE; } void Raycaster::load_image(std::vector& texture, const char *filename) { sf::Image img; bool good = img.loadFromFile(filename); dbc::check(good, format("failed to load {}", filename)); uint32_t *pixbuf = (uint32_t *)img.getPixelsPtr(); std::copy_n(pixbuf, texture.size(), texture.begin()); } void Raycaster::load_textures() { for(int i = 0; i < NUM_TEXTURES; i++) { texture[i].resize(TEXTURE_WIDTH * TEXTURE_HEIGHT); } load_image(texture[0], "assets/tile16.png"); load_image(texture[1], "assets/tile02.png"); load_image(texture[2], "assets/tile03.png"); load_image(texture[3], "assets/tile32.png"); load_image(texture[4], "assets/tile05.png"); load_image(texture[5], "assets/tile17.png"); load_image(texture[6], "assets/tile10.png"); load_image(texture[7], "assets/tile01.png"); load_image(texture[8], "assets/portal.png"); } void Raycaster::draw_pixel_buffer() { view_texture.update((uint8_t *)pixels, RAY_VIEW_WIDTH, RAY_VIEW_HEIGHT, 0, 0); // BUG: can I do this once and just update it? $window.draw(view_sprite); } void Raycaster::clear() { std::fill_n((uint32_t *)pixels, RAY_VIEW_WIDTH * RAY_VIEW_HEIGHT, 0); $window.clear(); } void Raycaster::cast_rays(Matrix& map) { int w = RAY_VIEW_WIDTH; int h = RAY_VIEW_HEIGHT; double perpWallDist; // WALL CASTING for(int x = 0; x < w; x++) { // calculate ray position and direction double cameraX = 2 * x / double(w) - 1; // x-coord in camera space double rayDirX = dirX + planeX * cameraX; double rayDirY = dirY + planeY * cameraX; // which box of the map we're in int mapX = int(posX); int mapY = int(posY); // length of ray from current pos to next x or y-side double sideDistX; double sideDistY; // length of ray from one x or y-side to next x or y-side double deltaDistX = std::abs(1.0 / rayDirX); double deltaDistY = std::abs(1.0 / rayDirY); int stepX = 0; int stepY = 0; int hit = 0; int side = 0; // calculate step and initial sideDist if(rayDirX < 0) { stepX = -1; sideDistX = (posX - mapX) * deltaDistX; } else { stepX = 1; sideDistX = (mapX + 1.0 - posX) * deltaDistX; } if(rayDirY < 0) { stepY = -1; sideDistY = (posY - mapY) * deltaDistY; } else { stepY = 1; sideDistY = (mapY + 1.0 - posY) * deltaDistY; } // perform DDA while(hit == 0) { if(sideDistX < sideDistY) { sideDistX += deltaDistX; mapX += stepX; side = 0; } else { sideDistY += deltaDistY; mapY += stepY; side = 1; } if(map[mapY][mapX] > 0) hit = 1; } if(side == 0) { perpWallDist = (sideDistX - deltaDistX); } else { perpWallDist = (sideDistY - deltaDistY); } int lineHeight = int(h / perpWallDist); int drawStart = -lineHeight / 2 + h / 2 + PITCH; if(drawStart < 0) drawStart = 0; int drawEnd = lineHeight / 2 + h / 2 + PITCH; if(drawEnd >= h) drawEnd = h - 1; int texNum = MAP[mapY][mapX] - 1; // calculate value of wallX double wallX; // where exactly the wall was hit if(side == 0) { wallX = posY + perpWallDist * rayDirY; } else { wallX = posX + perpWallDist * rayDirX; } wallX -= floor((wallX)); // x coorindate on the texture int texX = int(wallX * double(TEXTURE_WIDTH)); if(side == 0 && rayDirX > 0) texX = TEXTURE_WIDTH - texX - 1; if(side == 1 && rayDirY < 0) texX = TEXTURE_WIDTH - texX - 1; // LODE: an integer-only bresenham or DDA like algorithm could make the texture coordinate stepping faster // How much to increase the texture coordinate per screen pixel double step = 1.0 * TEXTURE_HEIGHT / lineHeight; // Starting texture coordinate double texPos = (drawStart - PITCH - h / 2 + lineHeight / 2) * step; for(int y = drawStart; y < drawEnd; y++) { int texY = (int)texPos & (TEXTURE_HEIGHT - 1); texPos += step; RGBA pixel{.out=texture[texNum][TEXTURE_HEIGHT * texY + texX]}; RGBA_brightness(pixel, perpWallDist); pixels[pixcoord(x, y)] = pixel; } // SET THE ZBUFFER FOR THE SPRITE CASTING ZBuffer[x] = perpWallDist; } // SPRITE CASTING // sort sprites from far to close for(int i = 0; i < NUM_SPRITES; i++) { spriteOrder[i] = i; // this is just the distance calculation spriteDistance[i] = ((posX - SPRITE[i].x) * (posX - SPRITE[i].x) + (posY - SPRITE[i].y) * (posY - SPRITE[i].y)); } sort_sprites(spriteOrder, spriteDistance, NUM_SPRITES); // after sorting the sprites, do the projection for(int i = 0; i < NUM_SPRITES; i++) { int sprite_index = spriteOrder[i]; Sprite& sprite_rec = SPRITE[sprite_index]; double spriteX = sprite_rec.x - posX; double spriteY = sprite_rec.y - posY; int sprite_texture_number = sprite_rec.texture; auto sprite_texture = texture[sprite_texture_number]; //transform sprite with the inverse camera matrix // [ planeX dirX ] -1 [ dirY -dirX ] // [ ] = 1/(planeX*dirY-dirX*planeY) * [ ] // [ planeY dirY ] [ -planeY planeX ] double invDet = 1.0 / (planeX * dirY - dirX * planeY); // required for correct matrix multiplication double transformX = invDet * (dirY * spriteX - dirX * spriteY); //this is actually the depth inside the screen, that what Z is in 3D, the distance of sprite to player, matching sqrt(spriteDistance[i]) double transformY = invDet * (-planeY * spriteX + planeX * spriteY); int spriteScreenX = int((w / 2) * (1 + transformX / transformY)); int vMoveScreen = int(sprite_rec.elevation * -1 / transformY); // calculate the height of the sprite on screen //using "transformY" instead of the real distance prevents fisheye int spriteHeight = abs(int(h / transformY)) / vDiv; //calculate lowest and highest pixel to fill in current stripe int drawStartY = -spriteHeight / 2 + h / 2 + vMoveScreen; if(drawStartY < 0) drawStartY = 0; int drawEndY = spriteHeight / 2 + h / 2 + vMoveScreen; if(drawEndY >= h) drawEndY = h - 1; // calculate width the the sprite // same as height of sprite, given that it's square int spriteWidth = abs(int(h / transformY)) / uDiv; int drawStartX = -spriteWidth / 2 + spriteScreenX; if(drawStartX < 0) drawStartX = 0; int drawEndX = spriteWidth / 2 + spriteScreenX; if(drawEndX > w) drawEndX = w; //loop through every vertical stripe of the sprite on screen for(int stripe = drawStartX; stripe < drawEndX; stripe++) { int texX = int(256 * (stripe - (-spriteWidth / 2 + spriteScreenX)) * TEXTURE_WIDTH / spriteWidth) / 256; // the conditions in the if are: // 1) it's in front of the camera plane so you don't see things behind you // 2) ZBuffer, with perpendicular distance if(transformY > 0 && transformY < ZBuffer[stripe]) { for(int y = drawStartY; y < drawEndY; y++) { //256 and 128 factors to avoid floats int d = (y - vMoveScreen) * 256 - h * 128 + spriteHeight * 128; int texY = ((d * TEXTURE_HEIGHT) / spriteHeight) / 256; //get current color from the texture uint32_t color = sprite_texture[TEXTURE_WIDTH * texY + texX]; // poor person's transparency, get current color from the texture if((color & 0x00FFFFFF) != 0) { RGBA pixel{.out=color}; RGBA_brightness(pixel, perpWallDist); pixels[pixcoord(stripe, y)] = pixel; } } } } } } void Raycaster::draw_ceiling_floor() { int screenHeight = RAY_VIEW_HEIGHT; int screenWidth = RAY_VIEW_WIDTH; for(int y = screenHeight / 2 + 1; y < screenHeight; ++y) { // rayDir for leftmost ray (x=0) and rightmost (x = w) float rayDirX0 = dirX - planeX; float rayDirY0 = dirY - planeY; float rayDirX1 = dirX + planeX; float rayDirY1 = dirY + planeY; // current y position compared to the horizon int p = y - screenHeight / 2; // vertical position of the camera // 0.5 will the camera at the center horizon. For a // different value you need a separate loop for ceiling // and floor since they're no longer symmetrical. float posZ = 0.5 * screenHeight; // horizontal distance from the camera to the floor for the current row // 0.5 is the z position exactly in the middle between floor and ceiling // See NOTE in Lode's code for more. float rowDistance = posZ / p; // calculate the real world step vector we have to add for each x (parallel to camera plane) // adding step by step avoids multiplications with a wight in the inner loop float floorStepX = rowDistance * (rayDirX1 - rayDirX0) / screenWidth; float floorStepY = rowDistance * (rayDirY1 - rayDirY0) / screenWidth; // real world coordinates of the leftmost column. // This will be updated as we step to the right float floorX = posX + rowDistance * rayDirX0; float floorY = posY + rowDistance * rayDirY0; for(int x = 0; x < screenWidth; ++x) { // the cell coord is simply taken from the int parts of // floorX and floorY. int cellX = int(floorX); int cellY = int(floorY); // get the texture coordinat from the fractional part int tx = int(TEXTURE_WIDTH * (floorX - cellX)) & (TEXTURE_WIDTH - 1); int ty = int(TEXTURE_WIDTH * (floorY - cellY)) & (TEXTURE_HEIGHT - 1); floorX += floorStepX; floorY += floorStepY; // now get the pixel from the texture uint32_t color; // this uses the previous ty/tx fractional parts of // floorX cellX to find the texture x/y. How? // FLOOR color = texture[floorTexture][TEXTURE_WIDTH * ty + tx]; pixels[pixcoord(x, y)].out = color; // CEILING color = texture[ceilingTexture][TEXTURE_WIDTH * ty + tx]; pixels[pixcoord(x, screenHeight - y - 1)].out = color; } } } void Raycaster::render() { draw_ceiling_floor(); cast_rays(MAP); draw_pixel_buffer(); $window.display(); } bool Raycaster::empty_space(int new_x, int new_y) { dbc::check((size_t)new_x < matrix::width(MAP), format("x={} too wide={}", new_x, matrix::width(MAP))); dbc::check((size_t)new_y < matrix::height(MAP), format("y={} too high={}", new_y, matrix::height(MAP))); return MAP[new_y][new_x] == 0; } void Raycaster::sort_sprites(int* order, double* dist, int amount) { std::vector> sprites(amount); for(int i = 0; i < amount; i++) { sprites[i].first = dist[i]; sprites[i].second = order[i]; } std::sort(sprites.begin(), sprites.end()); // restore in reverse order for(int i = 0; i < amount; i++) { dist[i] = sprites[amount - i - 1].first; order[i] = sprites[amount - i - 1].second; } } void Raycaster::move_forward(double moveSpeed) { if(empty_space(int(posX + dirX * moveSpeed), int(posY))) posX += dirX * moveSpeed; if(empty_space(int(posX), int(posY + dirY * moveSpeed))) posY += dirY * moveSpeed; } void Raycaster::move_backward(double moveSpeed) { if(empty_space(int(posX - dirX * moveSpeed), int(posY))) posX -= dirX * moveSpeed; if(empty_space(int(posX), int(posY - dirY * moveSpeed))) posY -= dirY * moveSpeed; } void Raycaster::rotate_right(double rotSpeed) { double oldDirX = dirX; dirX = dirX * cos(-rotSpeed) - dirY * sin(-rotSpeed); dirY = oldDirX * sin(-rotSpeed) + dirY * cos(-rotSpeed); double oldPlaneX = planeX; planeX = planeX * cos(-rotSpeed) - planeY * sin(-rotSpeed); planeY = oldPlaneX * sin(-rotSpeed) + planeY * cos(-rotSpeed); } void Raycaster::rotate_left(double rotSpeed) { double oldDirX = dirX; dirX = dirX * cos(rotSpeed) - dirY * sin(rotSpeed); dirY = oldDirX * sin(rotSpeed) + dirY * cos(rotSpeed); double oldPlaneX = planeX; planeX = planeX * cos(rotSpeed) - planeY * sin(rotSpeed); planeY = oldPlaneX * sin(rotSpeed) + planeY * cos(rotSpeed); }