// This file is part of ZiRC // // Copyright (C) 2021, tslil clingman // // This program is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 3 of the License, or // (at your option) any later version. // // 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 for more details. // // You should have received a copy of the GNU General Public License // along with this program. If not, see . const std = @import("std"); const RenderWindow = @import("sfml").graphics.RenderWindow; const Sprite = @import("sfml").graphics.Sprite; const Texture = @import("sfml").graphics.Texture; const Image = @import("sfml").graphics.Image; const Colour = @import("sfml").graphics.Color; const level = @import("level.zig"); const constants = @import("constants.zig"); fn playerDistComp(pos: [2]f32, lhs: level.Object, rhs: level.Object) bool { const lx = lhs.pos_x - pos[0]; const ly = lhs.pos_y - pos[1]; const rx = rhs.pos_x - pos[0]; const ry = rhs.pos_y - pos[1]; return (lx * lx + ly * ly > rx * rx + ry * ry); } fn fasterColourBlend(onto: Colour, from: Colour) Colour { const af: u16 = from.a; const of: u16 = onto.a; const ablend: u16 = @divTrunc(of * (255 - af), 255); const na: u16 = af + ablend; if (na == 0) return Colour.Black; const rf: u16 = from.r; const ro: u16 = onto.r; const gf: u16 = from.g; const go: u16 = onto.g; const bf: u16 = from.b; const bo: u16 = onto.b; // The most accurate i've found is const nr = @divTrunc(ro * ablend + rf * af, na); const ng = @divTrunc(go * ablend + gf * af, na); const nb = @divTrunc(bo * ablend + bf * af, na); // These computations are incorrect, but faster // const nr = (af * rf + (255 - af) * ro) / 255; // const ng = (af * gf + (255 - af) * go) / 255; // const nb = (af * bf + (255 - af) * bo) / 255; return Colour{ .a = @intCast(u8, na), .r = @intCast(u8, nr), .g = @intCast(u8, ng), .b = @intCast(u8, nb), }; } pub fn Player(PlaneWidth: f32, PlaneHeight: f32) type { const FOV: f32 = std.math.pi / 3.0; const PlanePixels = PlaneWidth * PlaneHeight; // given the desired width of the image, how far away must // the projection plane be from the camera? const FOV_SCALE = 2 * std.math.tan(FOV / 2); const PlaneDist = PlaneWidth / FOV_SCALE; return struct { pos_x: f32, pos_y: f32, ang: f32, vel_x: f32 = 0, vel_y: f32 = 0, acc_x: f32 = 0, acc_y: f32 = 0, height: f32 = 2.0 * (1.8 / 2.5), // TODO z_buffer: [PlanePixels]f32, anim_step: f32 = 0, // standing still at the given location, looking in direction ang pub fn new(pos_x: f32, pos_y: f32, ang: f32) @This() { return Player(PlaneWidth, PlaneHeight){ .pos_x = pos_x, .pos_y = pos_y, .ang = ang, .z_buffer = [_]f32{std.math.inf(f32)} ** PlanePixels, }; } pub fn tick(self: *@This(), map: level.Map) void { const dt = 1 / 30.0; const v_min = 0.8; const v_decay = 1 / 1.25; var next_x = self.pos_x + self.vel_x * dt; var next_y = self.pos_y + self.vel_y * dt; // Collision detection const min_dist: f32 = 0.1; const fx = std.math.floor(self.pos_x); const fy = std.math.floor(self.pos_y); const ix = @floatToInt(i32, fx); const iy = @floatToInt(i32, fy); const nix = @floatToInt(i32, std.math.floor(next_x + if (self.vel_x > 0) min_dist else -min_dist)); const niy = @floatToInt(i32, std.math.floor(next_y + if (self.vel_y > 0) min_dist else -min_dist)); if (!map.inBounds(nix, iy) or blk: { const cell = map.lookup(nix, iy); if (cell.floor_height > 0) break :blk true; if (cell.ceiling_height < self.height) break :blk true; break :blk false; }) { next_x = fx + if (self.vel_x > 0) 1 - min_dist else min_dist; self.vel_x = 0; self.acc_x = 0; } if (!map.inBounds(ix, niy) or map.lookup(ix, niy).floor_height > 0) { next_y = fy + if (self.vel_y > 0) 1 - min_dist else min_dist; self.vel_y = 0; self.acc_y = 0; } // Update position self.pos_x = next_x; self.pos_y = next_y; // Update velocity self.vel_x += self.acc_x * dt; self.vel_y += self.acc_y * dt; const vd = v_decay * std.math.sqrt(self.vel_x * self.vel_x + self.vel_y * self.vel_y); if (vd < v_min) { self.vel_x = 0; self.vel_y = 0; } else { // If we're moving update our animation state self.anim_step += 1; self.height -= std.math.sin(self.anim_step / 10 * std.math.pi) * 0.015; self.vel_x *= v_decay; self.vel_y *= v_decay; } } pub fn renderWorld( self: *@This(), window: RenderWindow, objects_image: Image, walls_image: Image, surfaces_image: Image, rendered_surfaces_texture: Texture, rendered_surfaces_sprite: Sprite, map: level.Map, ) !void { // Fist reset the z_buffer var i: usize = 0; while (i < self.z_buffer.len) : (i += 1) { self.z_buffer[i] = std.math.inf(f32); } var pixels = [_]Colour{Colour.Transparent} ** (PlaneWidth * PlaneHeight); // Draw all vertical and horizontal surfaces, and populate the z-buffer self.renderCells(walls_image, surfaces_image, map, &pixels); // use the z_buffer to render sprites self.renderObjects(objects_image, map, &pixels); try rendered_surfaces_texture.updateFromPixels(&pixels, null); window.draw(rendered_surfaces_sprite, null); } fn renderObjects( self: @This(), objects_image: Image, map: level.Map, pixels: []Colour, ) void { std.sort.sort(level.Object, map.objects.items, // Wow, context with an arbitrary type! No macros, just // Zig all the way down! [2]f32{ self.pos_x, self.pos_y }, playerDistComp); const self_cos = std.math.cos(self.ang); const self_sin = std.math.sin(self.ang); for (map.objects.items) |obj| { const ox = obj.pos_x - self.pos_x; const oy = obj.pos_y - self.pos_y; // We compute the two coordinates of rotating by -self.ang, the // first of which gives the perpendicular distance to the plane // of projection, and the second of which gives the // (unprojected) centre of the object. const perp_distance = self_cos * ox + self_sin * oy; const centre = self_sin * ox - self_cos * oy; // NOTE: in the below we have applied the magic scaling factor // of FOV_SCALE. I don't understand how this compensates for the // linear interpolation incorrectness we do elsewhere, but // somehow it scales the *correct* values we compute above into // whatever agrees with the wall and floor rendering voodoo. // This quantity is independent of FOV_SCALE because it enters // both via centre and perp_distance const proj_centre = PlaneWidth / 2 + PlaneDist * centre / perp_distance; // Here's the magic adjustment const scaled_perp_distance = FOV_SCALE * perp_distance; const width = PlaneDist * obj.width / scaled_perp_distance; const left = proj_centre - width / 2; // TODO: prune before this? if (left + width < 0 or left >= PlaneWidth) continue; const height = PlaneDist * obj.height / scaled_perp_distance; const top = PlaneHeight / 2 + PlaneDist * (obj.height - self.height + obj.pos_z) / scaled_perp_distance; // TODO: likewise? if (top < 0 or top - height >= PlaneHeight) continue; // Something is on the screen, let's draw it! const start = std.math.max(0, left); const end = @floatToInt(usize, std.math.min(left + width, PlaneWidth - 1)); const inv_height = 1 / height; var tex_frac: f32 = std.math.clamp((start - left) / width, 0, 1); var col: usize = @floatToInt(usize, start); const tex_frac_step = 1 / width; while (col < end) : ({ col += 1; tex_frac += tex_frac_step; }) { var bottom = std.math.min(top, PlaneHeight); var pix_y = @floatToInt(usize, std.math.ceil(std.math.max(PlaneHeight - bottom - 1, 0))); var texel_y = (top - bottom) / height; while (pix_y < PlaneHeight and bottom >= top - height) : ({ bottom -= 1; pix_y += 1; texel_y += inv_height; }) { const index = col * @floatToInt(usize, PlaneHeight) + @floatToInt(usize, bottom); if (self.z_buffer[index] > scaled_perp_distance) { const tx = @floatToInt(c_uint, tex_frac * (constants.TextureDim - 1)); const toff = obj.texture * @floatToInt(c_uint, constants.TextureDim); const ty = @floatToInt(c_uint, texel_y * (constants.TextureDim - 1)); const texel = objects_image.getPixel(.{ .x = toff + tx, .y = ty }); const pix_index = @floatToInt(usize, PlaneWidth) * pix_y + col; // TODO: Decide whether being accurate is as important as being fast pixels[pix_index] = fasterColourBlend(pixels[pix_index], texel); } } } } } fn renderCells( self: *@This(), walls_image: Image, surfaces_image: Image, map: level.Map, pixels: []Colour, ) void { // This is a TERRIBLE hack: for whatever reason *linearly* // interpolating on the direction vectors gives // perspective-correct-seeming walls! const cos_first = std.math.cos(self.ang + 0.5 * FOV); const cos_last = std.math.cos(self.ang - 0.5 * FOV); const sin_first = std.math.sin(self.ang + 0.5 * FOV); const sin_last = std.math.sin(self.ang - 0.5 * FOV); const cos_step = (cos_last - cos_first) / PlaneWidth; const sin_step = (sin_last - sin_first) / PlaneWidth; var col: u16 = 0; var cosra = cos_first; var sinra = sin_first; while (col < PlaneWidth) : ({ col += 1; cosra += cos_step; sinra += sin_step; }) { // Observe that sqrt(1+tan^2) = abs(1/cos) sqrt(cos^2+sin^2) = // abs(1/cos). Similarly so for cot, hence we obtain the // following lengths for the hypotenuses assuming that x // (respectively y) are unit length and the angle is ra. This // for whatever reasons still works when we linearly interpolate // on cos and sin! const dy_for_x_step = std.math.fabs(1 / cosra); const dx_for_y_step = std.math.fabs(1 / sinra); var step_x: i32 = -1; var step_y: i32 = -1; var dist_x: f32 = undefined; var dist_y: f32 = undefined; var ipos_x: i32 = @floatToInt(i32, std.math.floor(self.pos_x)); var ipos_y: i32 = @floatToInt(i32, std.math.floor(self.pos_y)); // looking right if (cosra >= 0) { step_x = 1; // assuming unit size grid cells dist_y = (@intToFloat(f32, ipos_x) + 1 - self.pos_x) * dy_for_x_step; } else { dist_y = (self.pos_x - @intToFloat(f32, ipos_x)) * dy_for_x_step; } if (sinra >= 0) { step_y = 1; dist_x = (@intToFloat(f32, ipos_y) + 1 - self.pos_y) * dx_for_y_step; } else { dist_x = (self.pos_y - @intToFloat(f32, ipos_y)) * dx_for_y_step; } var top_of_floor: f32 = undefined; var bottom_of_ceiling: f32 = undefined; var distance: f32 = 0; var still_drawing = true; var highest_drawn: f32 = 0; var lowest_drawn: f32 = PlaneHeight - 1; var horizontal_hit: bool = undefined; while (still_drawing and map.inBounds(ipos_x, ipos_y)) : ({ // Find the next cell on our path if (dist_y < dist_x) { horizontal_hit = false; distance = dist_y; dist_y += dy_for_x_step; ipos_x += step_x; } else { horizontal_hit = true; distance = dist_x; dist_x += dx_for_y_step; ipos_y += step_y; } }) { const cell = map.lookup(ipos_x, ipos_y); // Are we drawing vertical surfaces? if (cell.floor_height > 0 or cell.draw_down) { // project the top of the bottom and the bottom of the top top_of_floor = PlaneHeight / 2 + PlaneDist * (cell.floor_height - self.height) / distance; bottom_of_ceiling = PlaneHeight / 2 + PlaneDist * (cell.ceiling_height - self.height) / distance; const draw_lower = top_of_floor > highest_drawn; const draw_upper = cell.draw_down and bottom_of_ceiling < lowest_drawn; // Are we able to see any vertical faces? if (draw_upper or draw_lower) { // we need the distance to calculate the fractional // part of the relevant coordinate for texture // mapping of the walls const hit_coordinate = if (horizontal_hit) distance * cosra + self.pos_x else distance * sinra + self.pos_y; var texfrac = std.math.modf(hit_coordinate).fpart; // we also want to be sure that we're consistently orienting // textures, in this case clockwise if ((horizontal_hit and sinra < 0) or (!horizontal_hit and cosra > 0)) texfrac = 1 - texfrac; const texstrip = @floatToInt(c_uint, (constants.TextureDim - 1) * texfrac); // height of a unit-height wall at this distance const nominal_length = PlaneDist / distance; const inv_nom_len = distance / PlaneDist; // used for texel indexing const td = @floatToInt(c_uint, constants.TextureDim); if (draw_lower) { // which texture index? const t_lower_off = cell.lower_texture * td; // Note the bizarre rounding we have to do to avoid artifacts const constrained_top = std.math.min(std.math.floor(top_of_floor), std.math.ceil(lowest_drawn)); const stop = @floatToInt(i32, highest_drawn); var zb_y = @floatToInt(i32, constrained_top); var pix_y = @floatToInt(usize, std.math.ceil(std.math.max(PlaneHeight - constrained_top, 0))); var texel_y = (top_of_floor - constrained_top) / nominal_length; // now we have what we need to draw the face, // and update the z-buffer while (zb_y > stop) : ({ zb_y -= 1; pix_y += 1; texel_y += inv_nom_len; }) { const ty = @floatToInt(c_uint, std.math.modf(texel_y).fpart * constants.TextureDim); const texel = walls_image.getPixel(.{ .x = t_lower_off + texstrip, .y = ty }); const pix_index = pix_y * @floatToInt(usize, PlaneWidth) + col; pixels[pix_index] = texel; const index = @intCast(usize, col * @floatToInt(i32, PlaneHeight) + zb_y); self.z_buffer[index] = distance; } highest_drawn = top_of_floor; } if (draw_upper) { const proj_default_end = PlaneHeight / 2 + PlaneDist * (level.Cell.DEFAULT_HEIGHT - self.height) / distance; const stop = @floatToInt(i32, std.math.min(lowest_drawn, proj_default_end)); const t_upper_off = cell.upper_texture * td; const constrained_bottom = std.math.max(bottom_of_ceiling, highest_drawn); var zb_y = @floatToInt(i32, constrained_bottom); var pix_y = @floatToInt(usize, std.math.ceil(std.math.max(PlaneHeight - constrained_bottom - 1, 0))); var texel_y: f32 = 0; while (zb_y < stop) : ({ zb_y += 1; pix_y -= 1; texel_y += inv_nom_len; }) { const ty = @floatToInt(c_uint, (1 - std.math.modf(texel_y).fpart) * (constants.TextureDim - 1)); const texel = walls_image.getPixel(.{ .x = t_upper_off + texstrip, .y = ty }); const pix_index = pix_y * @floatToInt(usize, PlaneWidth) + col; pixels[pix_index] = texel; const index = @intCast(usize, col * @floatToInt(i32, PlaneHeight) + zb_y); self.z_buffer[index] = distance; } lowest_drawn = bottom_of_ceiling; } } } // do we potentially draw floor for this cell? if (highest_drawn < PlaneHeight / 2 or (cell.draw_down and lowest_drawn > PlaneHeight / 2)) { if (dist_y < dist_x) { distance = dist_y; } else { distance = dist_x; } // Note: next_top can never exceed PlaneHeight / 2 in // the body of the next block. If the wall is taller // than us the back edge is lower than the front one so // this check will fail as we just drew it (or higher // than it). If the wall is shorter then the back edge // is at most the horizon. Similarly so for next_bottom const next_top = PlaneHeight / 2 + PlaneDist * (cell.floor_height - self.height) / distance; const next_bottom = PlaneHeight / 2 + PlaneDist * (cell.ceiling_height - self.height) / distance; // draw floor? if (next_top > highest_drawn) { top_of_floor = std.math.floor(highest_drawn); const thresh = std.math.min(std.math.min(next_top, lowest_drawn), PlaneHeight / 2) - 1; while (top_of_floor <= thresh) : (top_of_floor += 1) { const row_dist = (self.height - cell.floor_height) * PlaneDist / (PlaneHeight / 2 - top_of_floor); const ptop = @floatToInt(usize, top_of_floor); const itop = @floatToInt(usize, PlaneHeight) - ptop - 1; // draw the correct pixel const sx = std.math.modf(self.pos_x + row_dist * cosra); const sy = std.math.modf(self.pos_y + row_dist * sinra); const toff = cell.floor_texture * @floatToInt(c_uint, constants.TextureDim); const px = @floatToInt(c_uint, constants.TextureDim * std.math.fabs(sx.fpart)); const py = @floatToInt(c_uint, constants.TextureDim * std.math.fabs(sy.fpart)); const val = surfaces_image.getPixel(.{ .x = toff + px, .y = py }); pixels[itop * @floatToInt(usize, PlaneWidth) + col] = val; // record in the z_buffer only if we're above the floor! if (cell.floor_height > 0) { const index = col * @floatToInt(usize, PlaneHeight) + ptop; self.z_buffer[index] = row_dist; } } highest_drawn = next_top; } // draw ceiling? if (cell.draw_down and next_bottom < lowest_drawn) { bottom_of_ceiling = std.math.ceil(lowest_drawn); const thresh = std.math.max(std.math.max(next_bottom, highest_drawn), PlaneHeight / 2) - 1; while (bottom_of_ceiling > thresh) : (bottom_of_ceiling -= 1) { const row_dist = (cell.ceiling_height - self.height) * PlaneDist / (bottom_of_ceiling - PlaneHeight / 2); const ptop = @floatToInt(usize, bottom_of_ceiling); const itop = @floatToInt(usize, PlaneHeight) - ptop; const sx = std.math.modf(self.pos_x + row_dist * cosra); const sy = std.math.modf(self.pos_y + row_dist * sinra); const toff = cell.ceiling_texture * @floatToInt(c_uint, constants.TextureDim); const px = @floatToInt(c_uint, constants.TextureDim * std.math.fabs(sx.fpart)); const py = @floatToInt(c_uint, constants.TextureDim * std.math.fabs(sy.fpart)); const val = surfaces_image.getPixel(.{ .x = toff + px, .y = py }); pixels[itop * @floatToInt(usize, PlaneWidth) + col] = val; if (cell.draw_down) { const index = col * @floatToInt(usize, PlaneHeight) + ptop; self.z_buffer[index] = row_dist; } } lowest_drawn = next_bottom; } } } // Have we filled this column? if (top_of_floor > lowest_drawn or bottom_of_ceiling < highest_drawn) { still_drawing = false; } } } }; }