From c489c5e0d001fb70deb32d3a77f33881df7ae3ba Mon Sep 17 00:00:00 2001 From: Miguel Angel Date: Fri, 3 Nov 2017 21:25:54 -0400 Subject: [PATCH] Correct floor/ceiling casting. --- py_caster.py | 108 ++++++++++++++++++++++--------------------------- screenshot.png | Bin 50738 -> 198232 bytes 2 files changed, 48 insertions(+), 60 deletions(-) diff --git a/py_caster.py b/py_caster.py index 7a5f98f..734466d 100755 --- a/py_caster.py +++ b/py_caster.py @@ -9,8 +9,7 @@ import pygame TITLE = "Py Caster" FPS = 30 SCREEN_SIZE = (800, 600) -CEILING_COLOR = (75, 119, 208) -FLOOR_COLOR = (229, 138, 132) +FILL_COLOR = (0, 0, 0) FOG_COLOR = (128, 128, 128) FOG_NEAR = 1.0 FOG_FAR = 5.0 @@ -24,8 +23,9 @@ CEIL_TEXTURE = "Textures/brownstone.jpg" FB_SIZE = (320, 200) DEG2RAD = 3.1415926535897932384626433 / 180.0 -FOV = 66.84962236520761 -ANGLE_INCREMENT = FOV / float(FB_SIZE[0]) +RAD2DEG = 180.0 / 3.1415926535897932384626433 +FOV = 0.0 +ANGLE_INCREMENT = 0.0 HEIGHT_CLAMP_MULTIPLER = 10 # MUST BE AN INTEGER ############################################################## @@ -150,6 +150,7 @@ class LineSegment(object): self.a = a self.b = b self.v = b.sub(a).normalize() + self.n = vec2(-self.v.y, self.v.x) self.tca = tca self.tcb = tcb self.texture = pygame.image.load(texture) @@ -157,8 +158,7 @@ class LineSegment(object): def intersect(self, r): def classifyPoint2D(point): v1 = point.sub(self.a).normalize() - v2 = vec2(self.v.y, -self.v.x) - return v1.dot(v2) + return v1.dot(self.n) def sign(n): if n == 0: @@ -172,14 +172,14 @@ class LineSegment(object): return (a * t) + (b * (1.0 - t)) side = classifyPoint2D(r.o) - v2 = self.b.sub(self.a) if sign(side) > 0 else self.a.sub(self.b) - v3 = vec2(-r.d.y, r.d.x) + v2 = self.b.sub(self.a) + v3 = vec2(-r.d.y, r.d.x) if sign(side) > 0 else vec2(r.d.y, -r.d.x) det = v2.dot(v3) if abs(det) < TOLERANCE: return None else: - v1 = r.o.sub(self.a) if sign(side) > 0 else self.a.sub(r.o) + v1 = r.o.sub(self.a) t1 = v2.cross(v1).length() / det t2 = v1.dot(v3) / det @@ -201,19 +201,9 @@ class LineSegment(object): ############################################################## class Plane3d(object): - def __init__(self, texture, floor = True): - self.n = vec3(0.0, 1.0, 0.0) if floor else vec3(0.0, -1.0, 0.0) - self.y = -0.5 if floor else 0.5 + def __init__(self, texture): self.texture = pygame.image.load(texture) - def intersect(self, r): - d = r.d.dot(self.n) - if abs(d) > TOLERANCE: - t = self.n.dot(vec3(0.0, self.y, 0.0).sub(r.o)) / d - return Intersection(r, t) - else: - return None - def sample_texture(self, st): w = self.texture.get_width() h = self.texture.get_height() @@ -228,11 +218,14 @@ class Plane3d(object): ############################################################## def main(): + global FOV, ANGLE_INCREMENT # Local variables. done = False player_pos = vec2(0.0, 0.0) player_dir = vec2(-1.0, 0.0) plane = vec2(0.0, 0.66) + FOV = 2.0 * math.atan((plane.length() / player_dir.length())) * RAD2DEG + ANGLE_INCREMENT = FOV / float(FB_SIZE[0]) arrow_keys = {pygame.K_UP: False, pygame.K_DOWN: False, pygame.K_LEFT: False, pygame.K_RIGHT: False} # Initialize Pygame. @@ -244,16 +237,16 @@ def main(): pygame.key.set_repeat(17, 17) # Define walls, floor and ceiling. - walls = [LineSegment(vec2(-3.0, 3.0), vec2(3.0, 3.0), -3.0, 3.0, "Textures/metal.jpg"), - LineSegment(vec2(3.0, 3.0), vec2(3.0, -3.0), 0.0, 6.0, "Textures/metal.jpg"), - LineSegment(vec2(3.0, -3.0), vec2(-3.0, -3.0), 0.0, 6.0, "Textures/metal.jpg"), - LineSegment(vec2(-3.0, -3.0), vec2(-3.0, 3.0), 0.0, 6.0, "Textures/metal.jpg"), - LineSegment(vec2(2.0, 2.0), vec2(3.0, 3.0), 0.0, 1.0, "Textures/diagmetal.jpg"), - LineSegment(vec2(-2.0, 2.0), vec2(-3.0, 3.0), 0.0, 1.0, "Textures/diagmetal.jpg"), - LineSegment(vec2(-2.0, 2.0), vec2(2.0, 2.0), 0.0, 4.0, "Textures/diagmetal.jpg") + walls = [ + LineSegment(vec2(3.0, 3.0), vec2(3.0, -3.0), 0.0, 6.0, "Textures/metal.jpg"), + LineSegment(vec2(3.0, -3.0), vec2(-3.0, -3.0), 0.0, 6.0, "Textures/metal.jpg"), + LineSegment(vec2(-3.0, -3.0), vec2(-3.0, 3.0), 0.0, 6.0, "Textures/metal.jpg"), + LineSegment(vec2(2.0, 2.0), vec2(3.0, 3.0), 0.0, 1.0, "Textures/diagmetal.jpg"), + LineSegment(vec2(-2.0, 2.0), vec2(-3.0, 3.0), 0.0, 1.0, "Textures/diagmetal.jpg"), + LineSegment(vec2(-2.0, 2.0), vec2(2.0, 2.0), 0.0, 4.0, "Textures/diagmetal.jpg") ] floor = Plane3d(FLOOR_TEXTURE) - ceiln = Plane3d(CEIL_TEXTURE, False) + ceiln = Plane3d(CEIL_TEXTURE) # Main game loop. try: @@ -277,10 +270,10 @@ def main(): # Camera movement if arrow_keys[pygame.K_UP]: - player_pos = player_pos.sub(player_dir.scale(PLAYER_MOVE_SPEED)) + player_pos = player_pos.add(player_dir.scale(PLAYER_MOVE_SPEED)) if arrow_keys[pygame.K_DOWN]: - player_pos = player_pos.add(player_dir.scale(PLAYER_MOVE_SPEED)) + player_pos = player_pos.sub(player_dir.scale(PLAYER_MOVE_SPEED)) if arrow_keys[pygame.K_LEFT]: oldDirX = player_dir.x; @@ -299,20 +292,20 @@ def main(): plane.y = oldPlaneX * math.sin(-PLAYER_TURN_SPEED) + plane.y * math.cos(-PLAYER_TURN_SPEED); # Render ceiling and floor. - frame_buffer.fill(CEILING_COLOR, pygame.Rect(0, 0, FB_SIZE[0], FB_SIZE[1] / 2)) - frame_buffer.fill(FLOOR_COLOR, pygame.Rect(0, FB_SIZE[1] / 2, FB_SIZE[0], FB_SIZE[1] / 2)) + frame_buffer.fill(FILL_COLOR) # Render walls. angle = -FOV / 2.0 for i in xrange(FB_SIZE[0]): # Generate camera ray camera_x = 2.0 * (float(i) / float(FB_SIZE[0])) - 1; - r = Ray(vec2(player_pos.x, player_pos.y), vec2(player_dir.x + plane.x * camera_x, player_dir.y + plane.y * camera_x)) + r = Ray(vec2(player_pos.x, player_pos.y), player_dir.add(plane.scale(camera_x))) d = float('Inf') c = None p = None h = 0 + darken = None # Check each wall for an intersection for l in walls: intersection = l.intersect(r) @@ -322,8 +315,17 @@ def main(): d = intersection.d c = l.get_tex_column(intersection.tc) p = intersection.p + df = (vec2(1.0, 0.0).dot(l.n) + 1.0) / 2.0 + if df < 0.25: + darken = 32 + elif df >= 0.25 and df < 0.5: + darken = 64 + elif df >= 0.5 and df < 0.75: + darken = 128 + else: + darken = 255 - if d < float('Inf') and c is not None: + if c is not None: # If an intersection was found then compute the projected height of the wall in pixels h = int(float(FB_SIZE[1]) / (d * math.cos(angle * DEG2RAD))) # The height tends to infinity as we get close to the walls so it must be clamped @@ -331,36 +333,22 @@ def main(): # Then scale the corresponding texture slice and blit it scaled = pygame.transform.scale(c, (c.get_width(), h)) frame_buffer.blit(scaled, (i, -(h / 2) + (FB_SIZE[1] / 2))) + frame_buffer.fill((darken, darken, darken), pygame.Rect(i, -(h / 2) + (FB_SIZE[1] / 2) if -(h / 2) + (FB_SIZE[1] / 2) >= 0 else 0, 1, scaled.get_height()), pygame.BLEND_MULT) # Floor casting and ceiling casting if p is not None and h > 0 and h < FB_SIZE[1]: - for j in xrange(1, FB_SIZE[1] - h): - # Compute wall height in world space - h_world = float((h + j)) / float(FB_SIZE[1]) + for j in xrange((h / 2) + (FB_SIZE[1] / 2), FB_SIZE[1] + 1): #FB_SIZE[1] - h + 1 + det = (2.0 * j - FB_SIZE[1]) + if det > 0.0: + cd = FB_SIZE[1] / det + weight = cd / (d * math.cos(angle * DEG2RAD)) + st = vec2((weight * p.x) + ((1.0 - weight) * player_pos.x), (weight * p.y) + ((1.0 - weight) * player_pos.y)) + ftex = floor.sample_texture(st) + ctex = ceiln.sample_texture(st) + frame_buffer.blit(ftex, (i, j)) + frame_buffer.fill((192, 192, 192), pygame.Rect(i, j, 1, 1), pygame.BLEND_MULT) + frame_buffer.blit(ctex, (i, FB_SIZE[1] - j)) - # Take player position and starting floor intersection point to 3D space - o3d = vec3(player_pos.x, 0.0, player_pos.y) - p3d = vec3(p.x, -h_world/2.0, p.y) - - # Compute floor ray - fr = Ray3d(o3d, p3d.sub(o3d)) - - # Compute ceiling starting intersection point and ceiling ray - p3d = vec3(p.x, h_world/2.0, p.y) - cr = Ray3d(o3d, p3d.sub(o3d)) - - # Compute floor and ceiling intersections - fip = floor.intersect(fr) - cip = ceiln.intersect(cr) - - # Get floor and ceiling textures - ftex = floor.sample_texture(fip.tc) - ctex = ceiln.sample_texture(cip.tc) - - # Blit floor and ceiling colors to the framebuffer - frame_buffer.blit(ftex, (i, ((h + j) / 2) + (FB_SIZE[1] / 2))) - frame_buffer.blit(ctex, (i, -((h + j) / 2) + (FB_SIZE[1] / 2))) - angle += ANGLE_INCREMENT # Render framebuffer to the screen diff --git a/screenshot.png b/screenshot.png index a9a03a90bd7b37d2ddb3d1fd40017b29676a188f..3e4c0f14dc8853b20c2034b7c07d9c769e75b226 100644 GIT binary patch literal 198232 zcmaI71yq||*DV?Wf!OJaY%75#hp;3xVt88p``_iyBCVP6ep#{-Cc`YahH?# z{mysqf5si>u8bsO>}2dbdp~o{y<{d_Q$rCCn+h8M0N^Pr$!P%qU`7A{L-l!_d0UrN(WVaT?p+>M=l?*)q0370fo4?9dXUpOb;#*%|X$)*Z>hWC?622nPFWf1;QB=<3-h*eJ+#ol32> zEpMe?yG~(ujKB-r>=#ZRLi%VgGXpNn0{(hwls`UHpkw^ke1K#}`XT4~kDb%fCp}Ek zy&M1ivy7bpQic9C^KKF5+x2Avn zr!OwN3&yYe^xNE*gDzA21W_|~w>aKce)s!l_J%K4`){Rhe-Z?{zDNt&x19#57AMNL5F0E^%6#&%uDj#n9 zQ7G@k-Z^WgFX-wHHSyJ-uK}5t?0XQBjomn`R&|v z@XdJE!?^VQ_}+Ade#s4lH0V)q(&6y(^gK&zzfNQ2^&1XYA`Y{tGrDif@<*YqwW{hlRpj^a 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