def create_eyes(self, mode=None, thing_to_look_at=None):
if mode is None:
mode = self.mode
if thing_to_look_at is None:
thing_to_look_at = self.thing_to_look_at
self.thing_to_look_at = thing_to_look_at
self.mode = mode
looking_direction = None
pi = PiCreature(mode=mode)
eyes = VGroup(pi.eyes, pi.pupils)
if self.submobjects:
eyes.match_height(self)
eyes.move_to(self, DOWN)
looking_direction = self[1].get_center() - self[0].get_center()
else:
eyes.set_height(self.height)
eyes.move_to(self.body.get_top(), DOWN)
height = eyes.get_height()
if thing_to_look_at is not None:
pi.look_at(thing_to_look_at)
elif looking_direction is not None:
pi.look(looking_direction)
eyes.set_height(height)
return eyes
def create_eyes(self, mode=None, thing_to_look_at=None):
if mode is None:
mode = self.mode
if thing_to_look_at is None:
thing_to_look_at = self.thing_to_look_at
self.thing_to_look_at = thing_to_look_at
self.mode = mode
looking_direction = None
pi = PiCreature(mode=mode)
eyes = VGroup(pi.eyes, pi.pupils)
if self.submobjects:
eyes.match_height(self)
eyes.move_to(self, DOWN)
looking_direction = self[1].get_center() - self[0].get_center()
else:
eyes.set_height(self.height)
eyes.move_to(self.body.get_top(), DOWN)
height = eyes.get_height()
if thing_to_look_at is not None:
pi.look_at(thing_to_look_at)
elif looking_direction is not None:
pi.look(looking_direction)
eyes.set_height(height)
return eyes
def generate_symbol(self):
symbol = VGroup(*[
RegularPolygon(
n=3, stroke_width=0, fill_color=self.color, fill_opacity=1)
for i in range(2)
])
symbol.arrange_submobjects(RIGHT, buff=0)
symbol.set_height(self.inner_radius * 0.7)
return symbol
def generate_symbol(self):
symbol = VGroup(*[
Rectangle(
length = 2, width = 0.5, stroke_width = 0,
fill_color = self.color, fill_opacity = 1,
)
for i in range(2)
])
symbol.arrange_submobjects(RIGHT, buff = 0.5)
symbol.set_height(self.inner_radius)
return symbol
def get_order_n_self(self, order):
if order == 0:
result = self.get_seed_shape()
else:
lower_order = self.get_order_n_self(order - 1)
subparts = [lower_order.copy() for x in range(self.num_subparts)]
self.arrange_subparts(*subparts)
result = VGroup(*subparts)
result.set_height(self.height)
result.center()
return result
def get_dot_template(self, place):
# This should be replaced for non-base-10 counting scenes
dots = VGroup(*[
Dot(
point,
radius=0.25,
fill_opacity=0,
stroke_width=2,
stroke_color=WHITE,
) for point in self.get_template_configuration(place)
])
dots.set_height(self.dot_configuration_height)
return dots
def get_dot_template(self, place):
# This should be replaced for non-base-10 counting scenes
dots = VGroup(*[
Dot(
point,
radius=0.25,
fill_opacity=0,
stroke_width=2,
stroke_color=WHITE,
)
for point in self.get_template_configuration(place)
])
dots.set_height(self.dot_configuration_height)
return dots
def get_order_n_self(self, order):
if order == 0:
result = self.get_seed_shape()
else:
lower_order = self.get_order_n_self(order - 1)
subparts = [
lower_order.copy()
for x in range(self.num_subparts)
]
self.arrange_subparts(*subparts)
result = VGroup(*subparts)
result.set_height(self.height)
result.center()
return result
def get_secant_slope_group(
self,
x,
graph,
dx=None,
dx_line_color=None,
df_line_color=None,
dx_label=None,
df_label=None,
include_secant_line=True,
secant_line_color=None,
secant_line_length=10,
):
"""
This method returns a VGroup of (two lines
representing dx and df, the labels for dx and
df, and the Secant to the Graph/curve at a
particular x value.
Parameters
----------
x (Union[float, int])
The x value at which the secant enters, and intersects
the graph for the first time.
graph (ParametricFunction)
The curve/graph for which the secant must
be found.
dx (Union[float, int])
The change in x after which the secant exits.
dx_line_color (str)
The line color for the line that indicates the change in x.
df_line_color (str)
The line color for the line that indicates the change in y.
dx_label (str)
The label to be provided for the change in x.
df_label (str)
The label to be provided for the change in y.
include_secant_line (bool=True)
Whether or not to include the secant line in the graph,
or just have the df and dx lines and labels.
secant_line_color (str)
The color of the secant line.
secant_line_length (Union[float,int=10])
How long the secant line should be.
Returns:
--------
VGroup
Resulting group is of the form VGroup(
dx_line,
df_line,
dx_label, (if applicable)
df_label, (if applicable)
secant_line, (if applicable)
)
with attributes of those names.
"""
kwargs = locals()
kwargs.pop("self")
group = VGroup()
group.kwargs = kwargs
dx = dx or float(self.x_max - self.x_min) / 10
dx_line_color = dx_line_color or self.default_input_color
df_line_color = df_line_color or graph.get_color()
p1 = self.input_to_graph_point(x, graph)
p2 = self.input_to_graph_point(x + dx, graph)
interim_point = p2[0] * RIGHT + p1[1] * UP
group.dx_line = Line(p1, interim_point, color=dx_line_color)
group.df_line = Line(interim_point, p2, color=df_line_color)
group.add(group.dx_line, group.df_line)
labels = VGroup()
if dx_label is not None:
group.dx_label = TexMobject(dx_label)
labels.add(group.dx_label)
group.add(group.dx_label)
if df_label is not None:
group.df_label = TexMobject(df_label)
labels.add(group.df_label)
group.add(group.df_label)
if len(labels) > 0:
max_width = 0.8 * group.dx_line.get_width()
max_height = 0.8 * group.df_line.get_height()
if labels.get_width() > max_width:
labels.set_width(max_width)
if labels.get_height() > max_height:
labels.set_height(max_height)
if dx_label is not None:
group.dx_label.next_to(group.dx_line,
np.sign(dx) * DOWN,
buff=group.dx_label.get_height() / 2)
group.dx_label.set_color(group.dx_line.get_color())
if df_label is not None:
group.df_label.next_to(group.df_line,
np.sign(dx) * RIGHT,
buff=group.df_label.get_height() / 2)
group.df_label.set_color(group.df_line.get_color())
if include_secant_line:
secant_line_color = secant_line_color or self.default_derivative_color
group.secant_line = Line(p1, p2, color=secant_line_color)
group.secant_line.scale_in_place(secant_line_length /
group.secant_line.get_length())
group.add(group.secant_line)
return group
def get_secant_slope_group(
self,
x,
graph,
dx=None,
dx_line_color=None,
df_line_color=None,
dx_label=None,
df_label=None,
include_secant_line=True,
secant_line_color=None,
secant_line_length=10,
):
"""
Resulting group is of the form VGroup(
dx_line,
df_line,
dx_label, (if applicable)
df_label, (if applicable)
secant_line, (if applicable)
)
with attributes of those names.
"""
kwargs = locals()
kwargs.pop("self")
group = VGroup()
group.kwargs = kwargs
dx = dx or float(self.x_max - self.x_min) / 10
dx_line_color = dx_line_color or self.default_input_color
df_line_color = df_line_color or graph.get_color()
p1 = self.input_to_graph_point(x, graph)
p2 = self.input_to_graph_point(x + dx, graph)
interim_point = p2[0] * RIGHT + p1[1] * UP
group.dx_line = Line(p1, interim_point, color=dx_line_color)
group.df_line = Line(interim_point, p2, color=df_line_color)
group.add(group.dx_line, group.df_line)
labels = VGroup()
if dx_label is not None:
group.dx_label = TexMobject(dx_label)
labels.add(group.dx_label)
group.add(group.dx_label)
if df_label is not None:
group.df_label = TexMobject(df_label)
labels.add(group.df_label)
group.add(group.df_label)
if len(labels) > 0:
max_width = 0.8 * group.dx_line.get_width()
max_height = 0.8 * group.df_line.get_height()
if labels.get_width() > max_width:
labels.set_width(max_width)
if labels.get_height() > max_height:
labels.set_height(max_height)
if dx_label is not None:
group.dx_label.next_to(group.dx_line,
np.sign(dx) * DOWN,
buff=group.dx_label.get_height() / 2)
group.dx_label.set_color(group.dx_line.get_color())
if df_label is not None:
group.df_label.next_to(group.df_line,
np.sign(dx) * RIGHT,
buff=group.df_label.get_height() / 2)
group.df_label.set_color(group.df_line.get_color())
if include_secant_line:
secant_line_color = secant_line_color or self.default_derivative_color
group.secant_line = Line(p1, p2, color=secant_line_color)
group.secant_line.scale_in_place(secant_line_length /
group.secant_line.get_length())
group.add(group.secant_line)
return group
def get_secant_slope_group(
self,
x, graph,
dx=None,
dx_line_color=None,
df_line_color=None,
dx_label=None,
df_label=None,
include_secant_line=True,
secant_line_color=None,
secant_line_length=10,
):
"""
Resulting group is of the form VGroup(
dx_line,
df_line,
dx_label, (if applicable)
df_label, (if applicable)
secant_line, (if applicable)
)
with attributes of those names.
"""
kwargs = locals()
kwargs.pop("self")
group = VGroup()
group.kwargs = kwargs
dx = dx or float(self.x_max - self.x_min) / 10
dx_line_color = dx_line_color or self.default_input_color
df_line_color = df_line_color or graph.get_color()
p1 = self.input_to_graph_point(x, graph)
p2 = self.input_to_graph_point(x + dx, graph)
interim_point = p2[0] * RIGHT + p1[1] * UP
group.dx_line = Line(
p1, interim_point,
color=dx_line_color
)
group.df_line = Line(
interim_point, p2,
color=df_line_color
)
group.add(group.dx_line, group.df_line)
labels = VGroup()
if dx_label is not None:
group.dx_label = TexMobject(dx_label)
labels.add(group.dx_label)
group.add(group.dx_label)
if df_label is not None:
group.df_label = TexMobject(df_label)
labels.add(group.df_label)
group.add(group.df_label)
if len(labels) > 0:
max_width = 0.8 * group.dx_line.get_width()
max_height = 0.8 * group.df_line.get_height()
if labels.get_width() > max_width:
labels.set_width(max_width)
if labels.get_height() > max_height:
labels.set_height(max_height)
if dx_label is not None:
group.dx_label.next_to(
group.dx_line,
np.sign(dx) * DOWN,
buff=group.dx_label.get_height() / 2
)
group.dx_label.set_color(group.dx_line.get_color())
if df_label is not None:
group.df_label.next_to(
group.df_line,
np.sign(dx) * RIGHT,
buff=group.df_label.get_height() / 2
)
group.df_label.set_color(group.df_line.get_color())
if include_secant_line:
secant_line_color = secant_line_color or self.default_derivative_color
group.secant_line = Line(p1, p2, color=secant_line_color)
group.secant_line.scale_in_place(
secant_line_length / group.secant_line.get_length()
)
group.add(group.secant_line)
return group
