def render_func(self, pos, normal, dir, light_dir):
color = ts.vec3(0.0)
shineness = self.shineness
half_lambert = ts.dot(normal, light_dir) * 0.5 + 0.5
lambert = max(0, ts.dot(normal, light_dir))
blinn_phong = ts.dot(normal, ts.mix(light_dir, -dir, 0.5))
blinn_phong = pow(max(blinn_phong, 0), shineness)
refl_dir = ts.reflect(light_dir, normal)
phong = -ts.dot(normal, refl_dir)
phong = pow(max(phong, 0), shineness)
strength = 0.0
if ti.static(self.lambert != 0.0):
strength += lambert * self.lambert
if ti.static(self.half_lambert != 0.0):
strength += half_lambert * self.half_lambert
if ti.static(self.blinn_phong != 0.0):
strength += blinn_phong * self.blinn_phong
if ti.static(self.phong != 0.0):
strength += phong * self.phong
color = ts.vec3(strength)
if ti.static(self.is_normal_map):
color = normal * 0.5 + 0.5
return color
def my_render_func(pos, normal, dir, light_dir):
n = cartoon_level[None]
refl_dir = ts.reflect(light_dir, normal)
#refl_dir = ts.mix(light_dir, -dir, 0.5)
NoL = pow(ts.dot(normal, refl_dir), 12)
NoL = ts.mix(NoL, ts.dot(normal, light_dir) * 0.5 + 0.5, 0.5)
strength = 0.2
if any(normal):
strength = ti.floor(max(0, NoL * n + 0.5)) / n
return ts.vec3(strength)
def brdf(self, normal, lightdir, viewdir):
halfway = ts.normalize(lightdir + viewdir)
NoH = max(EPS, ts.dot(normal, halfway))
NoL = max(EPS, ts.dot(normal, lightdir))
NoV = max(EPS, ts.dot(normal, viewdir))
HoV = min(1 - EPS, max(EPS, ts.dot(halfway, viewdir)))
ndf = self.roughness**2 / (NoH**2 * (self.roughness**2 - 1) + 1)**2
vdf = 0.25 / (self.ischlick(NoL) * self.ischlick(NoV))
f0 = self.metallic * self.color + (1 - self.metallic) * self.specular
ks, kd = self.ks * f0, self.kd * (1 - f0) * (1 - self.metallic)
fdf = self.fresnel(f0, NoV)
strength = kd * self.color + ks * fdf * vdf * ndf / math.pi
return strength
def ballBoundReflect(pos, vel, center, radius):
ret = vel
above = tl.distance(pos, center) - radius
if above <= 0:
normal = tl.normalize(pos - center)
NoV = tl.dot(vel, normal) - 6 * tl.smoothstep(above, 0, -0.1)
if NoV < 0:
ret -= NoV * normal
return ret
def do_render(self, scene):
W = 1
A = scene.uncook_coor(scene.camera.untrans_pos(self.a))
B = scene.uncook_coor(scene.camera.untrans_pos(self.b))
M, N = int(ti.floor(min(A, B) - W)), int(ti.ceil(max(A, B) + W))
for X in ti.grouped(ti.ndrange((M.x, N.x), (M.y, N.y))):
P = B - A
udf = (ts.cross(X, P) + ts.cross(B, A))**2 / P.norm_sqr()
XoP = ts.dot(X, P)
AoB = ts.dot(A, B)
if XoP > B.norm_sqr() - AoB:
udf = (B - X).norm_sqr()
elif XoP < AoB - A.norm_sqr():
udf = (A - X).norm_sqr()
if udf < 0:
scene.img[X] = ts.vec3(1.0)
elif udf < W**2:
t = ts.smoothstep(udf, 0, W**2)
ti.atomic_min(scene.img[X], ts.vec3(t))
def render_func(self, pos, normal, viewdir, light): # TODO: move render_func to Light.render_func?
if ti.static(isinstance(light, AmbientLight)):
return light.get_color(pos) * self.get_ambient()
lightdir = light.get_dir(pos)
NoL = ts.dot(normal, lightdir)
l_out = ts.vec3(0.0)
if NoL > EPS:
l_out = light.get_color(pos)
l_out *= NoL * self.brdf(normal, lightdir, -viewdir)
return l_out
def ballBoundReflect(pos, vel, center, radius, anti_fall=0, anti_depth=0.1):
ret = vel
above = tl.distance(pos, center) - radius
if above <= 0:
normal = tl.normalize(pos - center)
NoV = tl.dot(vel, normal)
if ti.static(anti_fall):
NoV -= anti_fall * tl.smoothstep(above, 0, -anti_depth)
if NoV < 0:
ret -= NoV * normal
return ret
def mandelbox(z):
offset = z
dz = 1.0
for _ in range(0, 10):
# box fold
z = ts.clamp(z, -1.0, 1.0) * 2.0 - z
# ball fold
r2 = ts.dot(z, z)
if r2 < min_radius[None]:
tmp = (fix_radius[None] / min_radius[None])
z *= tmp
dz *= tmp
elif r2 < fix_radius[None]:
tmp = fix_radius[None] / r2
z *= tmp
dz *= tmp
z = scale * z + offset
dz = dz * ti.abs(scale) + 1.0
return ts.length(z) / ti.abs(dz)
def render_triangle(model, camera, face):
scene = model.scene
L2W = model.L2W
_1 = ti.static(min(1, model.faces.m - 1))
_2 = ti.static(min(2, model.faces.m - 1))
ia, ib, ic = model.vi[face[0, 0]], model.vi[face[1, 0]], model.vi[face[2,
0]]
ta, tb, tc = model.vt[face[0, _1]], model.vt[face[1,
_1]], model.vt[face[2,
_1]]
na, nb, nc = model.vn[face[0, _2]], model.vn[face[1,
_2]], model.vn[face[2,
_2]]
a = camera.untrans_pos(L2W @ ia)
b = camera.untrans_pos(L2W @ ib)
c = camera.untrans_pos(L2W @ ic)
# NOTE: the normal computation indicates that # a front-facing face should
# be COUNTER-CLOCKWISE, i.e., glFrontFace(GL_CCW);
# this is to be compatible with obj model loading.
normal = ts.normalize(ts.cross(a - b, a - c))
pos = (a + b + c) / 3
view_pos = (a + b + c) / 3
if ti.static(camera.type == camera.ORTHO):
view_pos = ts.vec3(0.0, 0.0, 1.0)
if ts.dot(view_pos, normal) <= 0:
# shading
color = ts.vec3(0.0)
for light in ti.static(scene.lights):
color += scene.opt.render_func(pos, normal, ts.vec3(0.0), light)
color = scene.opt.pre_process(color)
A = camera.uncook(a)
B = camera.uncook(b)
C = camera.uncook(c)
scr_norm = 1 / ts.cross(A - C, B - A)
B_A = (B - A) * scr_norm
C_B = (C - B) * scr_norm
A_C = (A - C) * scr_norm
W = 1
# screen space bounding box
M, N = int(ti.floor(min(A, B, C) - W)), int(ti.ceil(max(A, B, C) + W))
M.x, N.x = min(max(M.x, 0),
camera.img.shape[0]), min(max(N.x, 0),
camera.img.shape[1])
M.y, N.y = min(max(M.y, 0),
camera.img.shape[0]), min(max(N.y, 0),
camera.img.shape[1])
for X in ti.grouped(ti.ndrange((M.x, N.x), (M.y, N.y))):
# barycentric coordinates using the area method
X_A = X - A
w_C = ts.cross(B_A, X_A)
w_B = ts.cross(A_C, X_A)
w_A = 1 - w_C - w_B
# draw
in_screen = w_A >= 0 and w_B >= 0 and w_C >= 0 and 0 < X[
0] < camera.img.shape[0] and 0 < X[1] < camera.img.shape[1]
if not in_screen:
continue
zindex = 1 / (a.z * w_A + b.z * w_B + c.z * w_C)
if zindex < ti.atomic_max(camera.zbuf[X], zindex):
continue
coor = (ta * w_A + tb * w_B + tc * w_C)
camera.img[X] = color * model.texSample(coor)
def render_triangle(model, camera, face):
posa, posb, posc = face.pos # Position
texa, texb, texc = face.tex # TexCoord
nrma, nrmb, nrmc = face.nrm # Normal
pos_center = (posa + posb + posc) / 3
if ti.static(camera.type == camera.ORTHO):
pos_center = ts.vec3(0.0, 0.0, 1.0)
# NOTE: the normal computation indicates that a front-facing face should
# be COUNTER-CLOCKWISE, i.e., glFrontFace(GL_CCW);
# this is to be compatible with obj model loading.
if ts.dot(pos_center, ts.cross(posa - posc, posa - posb)) >= 0:
tan, bitan = compute_tangent(posb - posa, posc - posa, texb - texa, texc - texa) # TODO: node-ize this
clra = [posa, texa, nrma] # TODO: interpolate tan and bitan? merge with nrm?
clrb = [posb, texb, nrmb]
clrc = [posc, texc, nrmc]
A = camera.uncook(posa)
B = camera.uncook(posb)
C = camera.uncook(posc)
scr_norm = ts.cross(A - C, B - A)
if scr_norm != 0: # degenerate to 'line' if zero
B_A = (B - A) / scr_norm
A_C = (A - C) / scr_norm
shake = ts.vec2(0.0)
if ti.static(camera.fb.n_taa):
for i, s in ti.static(enumerate(map(ti.Vector, TAA_SHAKES[:camera.fb.n_taa]))):
if camera.fb.itaa[None] == i:
shake = s * 0.5
# screen space bounding box
M = int(ti.floor(min(A, B, C) - 1))
N = int(ti.ceil(max(A, B, C) + 1))
M = ts.clamp(M, 0, ti.Vector(camera.fb.res))
N = ts.clamp(N, 0, ti.Vector(camera.fb.res))
for X in ti.grouped(ti.ndrange((M.x, N.x), (M.y, N.y))):
# barycentric coordinates using the area method
X_A = X - A + shake
w_C = ts.cross(B_A, X_A)
w_B = ts.cross(A_C, X_A)
w_A = 1 - w_C - w_B
# draw
eps = ti.get_rel_eps() * 0.2
is_inside = w_A >= -eps and w_B >= -eps and w_C >= -eps
if not is_inside:
continue
# https://gitee.com/zxtree2006/tinyrenderer/blob/master/our_gl.cpp
if ti.static(camera.type != camera.ORTHO):
bclip = ts.vec3(w_A / posa.z, w_B / posb.z, w_C / posc.z)
bclip /= bclip.x + bclip.y + bclip.z
w_A, w_B, w_C = bclip
depth = (posa.z * w_A + posb.z * w_B + posc.z * w_C)
if camera.fb.atomic_depth(X, depth):
continue
posx, texx, nrmx = [a * w_A + b * w_B + c * w_C for a, b, c in zip(clra, clrb, clrc)]
color = ti.static(model.material.pixel_shader(model, posx, texx, nrmx, tan, bitan))
if ti.static(isinstance(color, dict)):
camera.fb.update(X, color)
else:
camera.fb.update(X, dict(img=color))
def brdf(self, normal, lightdir, viewdir):
NoH = max(0, ts.dot(normal, ts.normalize(lightdir + viewdir)))
ndf = 5 / 2 * pow(NoH, 12)
strength = self.diffuse_color * self.diffuse + ndf * self.specular_color * self.specular
return strength
def brdf(self, normal, lightdir, viewdir):
NoH = max(0, ts.dot(normal, ts.normalize(lightdir + viewdir)))
ndf = (self.shineness + 8) / 8 * pow(NoH, self.shineness)
strength = self.color + ndf * self.specular
return strength
def render_triangle(model, camera, face):
scene = model.scene
L2W = model.L2W
posa, posb, posc = model.pos[face[0, 0]], model.pos[face[1, 0]], model.pos[
face[2, 0]]
texa, texb, texc = model.tex[face[0, 1]], model.tex[face[1, 1]], model.tex[
face[2, 1]]
nrma, nrmb, nrmc = model.nrm[face[0, 2]], model.nrm[face[1, 2]], model.nrm[
face[2, 2]]
posa = camera.untrans_pos(L2W @ posa)
posb = camera.untrans_pos(L2W @ posb)
posc = camera.untrans_pos(L2W @ posc)
nrma = camera.untrans_dir(L2W.matrix @ nrma)
nrmb = camera.untrans_dir(L2W.matrix @ nrmb)
nrmc = camera.untrans_dir(L2W.matrix @ nrmc)
pos_center = (posa + posb + posc) / 3
if ti.static(camera.type == camera.ORTHO):
pos_center = ts.vec3(0.0, 0.0, 1.0)
dpab = posa - posb
dpac = posa - posc
dtab = texa - texb
dtac = texa - texc
normal = ts.cross(dpab, dpac)
tan, bitan = compute_tangent(-dpab, -dpac, -dtab, -dtac)
# NOTE: the normal computation indicates that a front-facing face should
# be COUNTER-CLOCKWISE, i.e., glFrontFace(GL_CCW);
# this is to be compatible with obj model loading.
if ts.dot(pos_center, normal) <= 0:
clra = model.vertex_shader(posa, texa, nrma, tan, bitan)
clrb = model.vertex_shader(posb, texb, nrmb, tan, bitan)
clrc = model.vertex_shader(posc, texc, nrmc, tan, bitan)
A = camera.uncook(posa)
B = camera.uncook(posb)
C = camera.uncook(posc)
scr_norm = 1 / ts.cross(A - C, B - A)
B_A = (B - A) * scr_norm
C_B = (C - B) * scr_norm
A_C = (A - C) * scr_norm
# screen space bounding box
M = int(ti.floor(min(A, B, C) - 1))
N = int(ti.ceil(max(A, B, C) + 1))
M = ts.clamp(M, 0, ti.Vector(camera.res))
N = ts.clamp(N, 0, ti.Vector(camera.res))
for X in ti.grouped(ti.ndrange((M.x, N.x), (M.y, N.y))):
# barycentric coordinates using the area method
X_A = X - A
w_C = ts.cross(B_A, X_A)
w_B = ts.cross(A_C, X_A)
w_A = 1 - w_C - w_B
# draw
eps = ti.get_rel_eps() * 0.2
is_inside = w_A >= -eps and w_B >= -eps and w_C >= -eps
if not is_inside:
continue
zindex = 1 / (posa.z * w_A + posb.z * w_B + posc.z * w_C)
if zindex < ti.atomic_max(camera.fb['idepth'][X], zindex):
continue
clr = [
a * w_A + b * w_B + c * w_C
for a, b, c in zip(clra, clrb, clrc)
]
camera.fb.update(X, model.pixel_shader(*clr))
def render_triangle(model, camera, face):
scene = model.scene
L2C = model.L2C[None] # Local to Camera, i.e. ModelView in OpenGL
posa, posb, posc = face.pos
texa, texb, texc = face.tex
nrma, nrmb, nrmc = face.nrm
posa = (L2C @ ts.vec4(posa, 1)).xyz
posb = (L2C @ ts.vec4(posb, 1)).xyz
posc = (L2C @ ts.vec4(posc, 1)).xyz
nrma = (L2C @ ts.vec4(nrma, 0)).xyz
nrmb = (L2C @ ts.vec4(nrmb, 0)).xyz
nrmc = (L2C @ ts.vec4(nrmc, 0)).xyz
pos_center = (posa + posb + posc) / 3
if ti.static(camera.type == camera.ORTHO):
pos_center = ts.vec3(0.0, 0.0, 1.0)
dpab = posa - posb
dpac = posa - posc
dtab = texa - texb
dtac = texa - texc
normal = ts.cross(dpab, dpac)
# NOTE: the normal computation indicates that a front-facing face should
# be COUNTER-CLOCKWISE, i.e., glFrontFace(GL_CCW);
# this is to be compatible with obj model loading.
if ts.dot(pos_center, normal) <= 0:
tan, bitan = compute_tangent(-dpab, -dpac, -dtab,
-dtac) # TODO: node-ize this
clra = model.vertex_shader(
posa, texa, nrma, tan,
bitan) # TODO: interpolate tan and bitan? merge with nrm?
clrb = model.vertex_shader(posb, texb, nrmb, tan, bitan)
clrc = model.vertex_shader(posc, texc, nrmc, tan, bitan)
A = camera.uncook(posa)
B = camera.uncook(posb)
C = camera.uncook(posc)
scr_norm = ts.cross(A - C, B - A)
if scr_norm != 0: # degenerate to 'line' if zero
B_A = (B - A) / scr_norm
A_C = (A - C) / scr_norm
shake = ts.vec2(0.0)
if ti.static(camera.fb.n_taa):
for i, s in ti.static(
enumerate(map(ti.Vector,
TAA_SHAKES[:camera.fb.n_taa]))):
if camera.fb.itaa[None] == i:
shake = s * 0.5
# screen space bounding box
M = int(ti.floor(min(A, B, C) - 1))
N = int(ti.ceil(max(A, B, C) + 1))
M = ts.clamp(M, 0, ti.Vector(camera.fb.res))
N = ts.clamp(N, 0, ti.Vector(camera.fb.res))
for X in ti.grouped(ti.ndrange((M.x, N.x), (M.y, N.y))):
# barycentric coordinates using the area method
X_A = X - A + shake
w_C = ts.cross(B_A, X_A)
w_B = ts.cross(A_C, X_A)
w_A = 1 - w_C - w_B
# draw
eps = ti.get_rel_eps() * 0.2
is_inside = w_A >= -eps and w_B >= -eps and w_C >= -eps
if not is_inside:
continue
# https://gitee.com/zxtree2006/tinyrenderer/blob/master/our_gl.cpp
if ti.static(camera.type != camera.ORTHO):
bclip = ts.vec3(w_A / posa.z, w_B / posb.z, w_C / posc.z)
bclip /= bclip.x + bclip.y + bclip.z
w_A, w_B, w_C = bclip
depth = (posa.z * w_A + posb.z * w_B + posc.z * w_C)
if camera.fb.atomic_depth(X, depth):
continue
clr = [
a * w_A + b * w_B + c * w_C
for a, b, c in zip(clra, clrb, clrc)
]
camera.fb.update(X, model.pixel_shader(*clr))
