def test_allclose_rel_reordered1(x, allclose):
rel = ti.get_rel_eps()
assert not allclose(x + x * rel * 3.0, x)
assert not allclose(x + x * rel * 1.2, x)
assert allclose(x + x * rel * 0.9, x)
assert allclose(x + x * rel * 0.5, x)
assert allclose(x, x)
assert allclose(x - x * rel * 0.5, x)
assert allclose(x - x * rel * 0.9, x)
assert not allclose(x - x * rel * 1.2, x)
assert not allclose(x - x * rel * 3.0, x)
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):
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 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))
