def __init__(self, *args, func=AnimateStroke, run_time=None, fix_time=None, lag_ratio=0,**kwargs):
animations=AGroup()
runtime={}
fixtime={}
if isinstance(args[-1], (int,float)):
if args[-1]>=0:
runtime.update({'run_time':args[-1]})
else:
fixtime.update({'run_time':-args[-1]})
args=args[:-1]
if run_time is not None:
runtime.update({'runtime':runtime})
if fix_time is not None:
fixtime.update({'fix_time':fix_time})
for arg in args:
kws={}
if isinstance(arg[-1], dict):
kws=arg[-1]
arg=arg[:-1]
kws.update(fixtime)
kws.update(kwargs)
mobj=VMobject()
for each in arg:
if isinstance(arg[0],(Mobject,Group,VMobject,VGroup)):
mobj.add(arg[0])
arg=arg[1:]
animations.add(func(mobj,*arg,**kws))
super().__init__(*animations,lag_ratio=lag_ratio,**runtime)
def get_det_text(matrix,
determinant=None,
background_rect=True,
initial_scale_factor=2):
parens = TexMobject(["(", ")"])
parens.scale(initial_scale_factor)
parens.stretch_to_fit_height(matrix.get_height())
l_paren, r_paren = parens.split()
l_paren.next_to(matrix, LEFT, buff=0.1)
r_paren.next_to(matrix, RIGHT, buff=0.1)
det = TextMobject("det")
det.scale(initial_scale_factor)
det.next_to(l_paren, LEFT, buff=0.1)
if background_rect:
det.add_background_rectangle()
det_text = VMobject(det, l_paren, r_paren)
if determinant is not None:
eq = TexMobject("=")
eq.next_to(r_paren, RIGHT, buff=0.1)
result = TexMobject(str(determinant))
result.next_to(eq, RIGHT, buff=0.2)
det_text.add(eq, result)
return det_text
class NumberPlane(VMobject):
CONFIG = {
"color": BLUE_D,
"secondary_color": BLUE_E,
"axes_color": WHITE,
"secondary_stroke_width": 1,
# TODO: Allow coordinate center of NumberPlane to not be at (0, 0)
"x_radius": None,
"y_radius": None,
"x_unit_size": 1,
"y_unit_size": 1,
"center_point": ORIGIN,
"x_line_frequency": 1,
"y_line_frequency": 1,
"secondary_line_ratio": 1,
"written_coordinate_height": 0.2,
"propagate_style_to_family": False,
"make_smooth_after_applying_functions": True,
}
def generate_points(self):
if self.x_radius is None:
center_to_edge = (FRAME_X_RADIUS + abs(self.center_point[0]))
self.x_radius = center_to_edge / self.x_unit_size
if self.y_radius is None:
center_to_edge = (FRAME_Y_RADIUS + abs(self.center_point[1]))
self.y_radius = center_to_edge / self.y_unit_size
self.axes = VMobject()
self.main_lines = VMobject()
self.secondary_lines = VMobject()
tuples = [
(self.x_radius, self.x_line_frequency, self.y_radius * DOWN,
self.y_radius * UP, RIGHT),
(
self.y_radius,
self.y_line_frequency,
self.x_radius * LEFT,
self.x_radius * RIGHT,
UP,
),
]
for radius, freq, start, end, unit in tuples:
main_range = np.arange(0, radius, freq)
step = freq / float(freq + self.secondary_line_ratio)
for v in np.arange(0, radius, step):
line1 = Line(start + v * unit, end + v * unit)
line2 = Line(start - v * unit, end - v * unit)
if v == 0:
self.axes.add(line1)
elif v in main_range:
self.main_lines.add(line1, line2)
else:
self.secondary_lines.add(line1, line2)
self.add(self.secondary_lines, self.main_lines, self.axes)
self.stretch(self.x_unit_size, 0)
self.stretch(self.y_unit_size, 1)
self.shift(self.center_point)
# Put x_axis before y_axis
y_axis, x_axis = self.axes.split()
self.axes = VMobject(x_axis, y_axis)
def init_colors(self):
VMobject.init_colors(self)
self.axes.set_stroke(self.axes_color, self.stroke_width)
self.main_lines.set_stroke(self.color, self.stroke_width)
self.secondary_lines.set_stroke(self.secondary_color,
self.secondary_stroke_width)
return self
def get_center_point(self):
return self.coords_to_point(0, 0)
def coords_to_point(self, x, y):
x, y = np.array([x, y])
result = self.axes.get_center()
result += x * self.get_x_unit_size() * RIGHT
result += y * self.get_y_unit_size() * UP
return result
def point_to_coords(self, point):
new_point = point - self.axes.get_center()
x = new_point[0] / self.get_x_unit_size()
y = new_point[1] / self.get_y_unit_size()
return x, y
# Does not recompute center, unit_sizes for each call; useful for
# iterating over large lists of points, but does assume these
# attributes are kept accurate. (Could alternatively have a method
# which returns a function dynamically created after a single
# call to each of get_center(), get_x_unit_size(), etc.)
def point_to_coords_cheap(self, point):
new_point = point - self.center_point
x = new_point[0] / self.x_unit_size
y = new_point[1] / self.y_unit_size
return x, y
def get_x_unit_size(self):
return self.axes.get_width() / (2.0 * self.x_radius)
def get_y_unit_size(self):
return self.axes.get_height() / (2.0 * self.y_radius)
def get_coordinate_labels(self, x_vals=None, y_vals=None):
coordinate_labels = VGroup()
if x_vals is None:
x_vals = list(range(-int(self.x_radius), int(self.x_radius) + 1))
if y_vals is None:
y_vals = list(range(-int(self.y_radius), int(self.y_radius) + 1))
for index, vals in enumerate([x_vals, y_vals]):
num_pair = [0, 0]
for val in vals:
if val == 0:
continue
num_pair[index] = val
point = self.coords_to_point(*num_pair)
num = TexMobject(str(val))
num.add_background_rectangle()
num.set_height(self.written_coordinate_height)
num.next_to(point, DOWN + LEFT, buff=SMALL_BUFF)
coordinate_labels.add(num)
self.coordinate_labels = coordinate_labels
return coordinate_labels
def get_axes(self):
return self.axes
def get_axis_labels(self, x_label="x", y_label="y"):
x_axis, y_axis = self.get_axes().split()
quads = [
(x_axis, x_label, UP, RIGHT),
(y_axis, y_label, RIGHT, UP),
]
labels = VGroup()
for axis, tex, vect, edge in quads:
label = TexMobject(tex)
label.add_background_rectangle()
label.next_to(axis, vect)
label.to_edge(edge)
labels.add(label)
self.axis_labels = labels
return labels
def add_coordinates(self, x_vals=None, y_vals=None):
self.add(*self.get_coordinate_labels(x_vals, y_vals))
return self
def get_vector(self, coords, **kwargs):
point = coords[0] * RIGHT + coords[1] * UP
arrow = Arrow(ORIGIN, point, **kwargs)
return arrow
def prepare_for_nonlinear_transform(self, num_inserted_anchor_points=50):
for mob in self.family_members_with_points():
num_anchors = mob.get_num_anchor_points()
if num_inserted_anchor_points > num_anchors:
mob.insert_n_anchor_points(num_inserted_anchor_points -
num_anchors)
mob.make_smooth()
return self