Files
manim/topics/three_dimensions.py
2017-02-18 14:02:46 -08:00

113 lines
2.5 KiB
Python

from helpers import *
from mobject.vectorized_mobject import VGroup
from topics.geometry import Square
from scene import Scene
from camera import Camera
class ThreeDCamera(Camera):
CONFIG = {
"sun_vect" : UP+LEFT,
"shading_factor" : 0.5,
}
def __init__(self, *args, **kwargs):
Camera.__init__(self, *args, **kwargs)
self.unit_sun_vect = self.sun_vect/np.linalg.norm(self.sun_vect)
def display_multiple_vectorized_mobjects(self, vmobjects):
def cmp_vmobs(*vmobs):
return cmp(*[
vm.get_edge_center(IN)[2]
for vm in vmobs
])
Camera.display_multiple_vectorized_mobjects(
self,
sorted(vmobjects, cmp = cmp_vmobs)
)
def get_stroke_color(self, vmobject):
return Color(rgb = self.get_shaded_rgb(
color_to_rgb(vmobject.get_stroke_color()),
normal_vect = self.get_unit_normal_vect(vmobject)
))
def get_fill_color(self, vmobject):
return Color(rgb = self.get_shaded_rgb(
color_to_rgb(vmobject.get_fill_color()),
normal_vect = self.get_unit_normal_vect(vmobject)
))
def get_shaded_rgb(self, rgb, normal_vect):
brightness = np.dot(normal_vect, self.unit_sun_vect)
if brightness > 0:
alpha = self.shading_factor*brightness
return interpolate(rgb, np.ones(3), alpha)
else:
alpha = -self.shading_factor*brightness
return interpolate(rgb, np.zeros(3), alpha)
def get_unit_normal_vect(self, vmobject):
anchors = vmobject.get_anchors()
if len(anchors) < 3:
return OUT
normal = np.cross(anchors[1]-anchors[0], anchors[2]-anchors[1])
if normal[2] < 0:
normal = -normal
length = np.linalg.norm(normal)
if length == 0:
return OUT
return normal/length
class ThreeDScene(Scene):
CONFIG = {
"camera_class" : ThreeDCamera,
}
##############
class Cube(VGroup):
CONFIG = {
"fill_opacity" : 0.75,
"fill_color" : BLUE,
"stroke_width" : 0,
"propogate_style_to_family" : True,
"side_length" : 2,
}
def generate_points(self):
for vect in IN, OUT, LEFT, RIGHT, UP, DOWN:
face = Square(side_length = self.side_length)
face.shift(self.side_length*OUT/2.0)
face.apply_function(lambda p : np.dot(p, z_to_vector(vect).T))
self.add(face)