def get_eyes(self, mode=None, thing_to_look_at=None):
mode = mode or self.mode
if thing_to_look_at is None:
thing_to_look_at = self.thing_looked_at
pi = Randolph(mode=mode)
eyes = VGroup(pi.eyes, pi.pupils)
pi.scale(self.height / eyes.get_height())
if self.submobjects:
eyes.move_to(self, DOWN)
else:
eyes.move_to(self.mobject.get_top(), DOWN)
if thing_to_look_at is not None:
pi.look_at(thing_to_look_at)
return eyes
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.scale_to_fit_width(max_width)
if labels.get_height() > max_height:
labels.scale_to_fit_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.highlight(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.highlight(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.scale_to_fit_width(max_width)
if labels.get_height() > max_height:
labels.scale_to_fit_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.highlight(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.highlight(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 construct(self):
morty = Mortimer()
morty.next_to(ORIGIN, DOWN)
n_patrons = len(self.specific_patrons)
special_thanks = TextMobject("Special thanks")
special_thanks.highlight(YELLOW)
special_thanks.to_edge(UP)
patreon_logo = PatreonLogo()
patreon_logo.next_to(morty, UP, buff = MED_LARGE_BUFF)
left_patrons = VGroup(*map(TextMobject,
self.specific_patrons[:n_patrons/2]
))
right_patrons = VGroup(*map(TextMobject,
self.specific_patrons[n_patrons/2:]
))
for patrons in left_patrons, right_patrons:
patrons.arrange_submobjects(
DOWN, aligned_edge = LEFT,
buff = 1.5*MED_SMALL_BUFF
)
all_patrons = VGroup(left_patrons, right_patrons)
all_patrons.scale(self.patron_scale_val)
for patrons, vect in (left_patrons, LEFT), (right_patrons, RIGHT):
patrons.to_edge(vect, buff = MED_SMALL_BUFF)
if patrons.get_height() > 2*SPACE_HEIGHT - LARGE_BUFF:
patrons.to_edge(UP, buff = MED_SMALL_BUFF)
shift_distance = max(
0, (all_patrons.get_height() - 2*SPACE_HEIGHT)
)
if shift_distance > 0:
shift_distance += 1
velocity = shift_distance/9.0
def get_shift_anim():
return ApplyMethod(
all_patrons.shift, velocity*UP,
rate_func = None
)
self.play(
morty.change_mode, "gracious",
DrawBorderThenFill(patreon_logo),
)
self.play(Write(special_thanks, run_time = 1))
self.play(
Write(left_patrons),
morty.look_at, left_patrons
)
self.play(
Write(right_patrons),
morty.look_at, right_patrons
)
self.play(Blink(morty), get_shift_anim())
for patrons in left_patrons, right_patrons:
for index in 0, -1:
self.play(
morty.look_at, patrons[index],
get_shift_anim()
)
self.play(get_shift_anim())
