def coords_to_vector(self,
vector,
coords_start=2 * RIGHT + 2 * UP,
clean_up=True):
starting_mobjects = list(self.submobjects)
array = Matrix(vector)
array.shift(coords_start)
arrow = Vector(vector)
x_line = Line(ORIGIN, vector[0] * RIGHT)
y_line = Line(x_line.get_end(), arrow.get_end())
x_line.set_color(X_COLOR)
y_line.set_color(Y_COLOR)
x_coord, y_coord = array.get_mob_matrix().flatten()
self.play(Write(array, run_time=1))
self.wait()
self.play(
ApplyFunction(
lambda x: self.position_x_coordinate(x, x_line, vector),
x_coord))
self.play(ShowCreation(x_line))
self.play(
ApplyFunction(
lambda y: self.position_y_coordinate(y, y_line, vector),
y_coord), FadeOut(array.get_brackets()))
y_coord, brackets = self.get_mobjects_from_last_animation()
self.play(ShowCreation(y_line))
self.play(ShowCreation(arrow))
self.wait()
if clean_up:
self.clear()
self.add(*starting_mobjects)
def coords_to_vector(self,
vector,
coords_start=2 * RIGHT + 2 * UP,
clean_up=True):
"""
This method writes the vector as a column matrix (henceforth called the label),
takes the values in it one by one, and form the corresponding
lines that make up the x and y components of the vector. Then, an
Vector() based vector is created between the lines on the Screen.
Parameters
----------
vector Union(np.ndarray, list, tuple)
The vector to show.
coords_start Union(np.ndarray,list,tuple)
The starting point of the location of
the label of the vector that shows it
numerically.
Defaults to 2 * RIGHT + 2 * UP or (2,2)
clean_up (bool=True)
Whether or not to remove whatever
this method did after it's done.
"""
starting_mobjects = list(self.mobjects)
array = Matrix(vector)
array.shift(coords_start)
arrow = Vector(vector)
x_line = Line(ORIGIN, vector[0] * RIGHT)
y_line = Line(x_line.get_end(), arrow.get_end())
x_line.set_color(X_COLOR)
y_line.set_color(Y_COLOR)
x_coord, y_coord = array.get_mob_matrix().flatten()
self.play(Write(array, run_time=1))
self.wait()
self.play(
ApplyFunction(
lambda x: self.position_x_coordinate(x, x_line, vector),
x_coord))
self.play(ShowCreation(x_line))
self.play(
ApplyFunction(
lambda y: self.position_y_coordinate(y, y_line, vector),
y_coord), FadeOut(array.get_brackets()))
y_coord, brackets = self.get_mobjects_from_last_animation()
self.play(ShowCreation(y_line))
self.play(ShowCreation(arrow))
self.wait()
if clean_up:
self.clear()
self.add(*starting_mobjects)
def construct(self):
if 1 == 1:
try:
self.add_sound(
"sidewayoutput\\basicmanim\\transform001b_01_01_02_01_01.wav",
time_offset=18)
self.add_sound(
"sidewayoutput\\basicmanim\\transform001b_01_01_02_02_01.wav",
time_offset=48)
self.add_sound(
"sidewayoutput\\basicmanim\\transform001b_01_01_02_02_02.wav",
time_offset=93)
self.add_sound(
"sidewayoutput\\basicmanim\\transform001b_01_01_02_03_01.wav",
time_offset=148)
except:
pass
self.play(
StartScreens01(
[],
[],
[[r"\textbf{\textit{Basic-Manim from }\{Sideway\}}"],
[r"\textbf{\textit{Transform}}\\{Part\ \textspA{I}b}"],
[
r"\tiny{\textrm{basic-manim.210201951v0\_transform001b}}"
], [],
[
r"\scriptsize{\textbf{Warning:\ The\ content\ may\ contain\ errors,\ mistakes\ and\ inaccuracies.\ Information\ must\ be\ verified\ and\ evaluated\ before\ use.}}"
]],
))
if 1 == 1:
self.play(
GrowFromCenter(
TextMobject(
r"\textit{\textbf{\underline{Apply\ Transform}}}").
shift([0, 3.6, 0])))
rows, cols = (7, 3)
x = 5.
x0, y0 = axes_point([-2.5, x, cols - 1, -5],
[2., -1.1, rows - 1, 3])
txtx = ["\\underline{state 1}", "\\underline{state 2}"]
txty = ["Method", "ApplyMethod", "ApplyFunction"]
a1 = [
"\\normalsize{sq[0]}", "\\normalsize{sq[1]}",
"\\normalsize{sq[2]}"
]
a2 = [
r"\normalsize{sq[0]\\.shift([" + str(x) + r",\,0,\,0])}",
r"\normalsize{ApplyMethod(\\sq[1].shift,\,[" + str(x) +
r",\,0,\,0])}",
r"\normalsize{ApplyFunction(\\lambda\,mob:\,mob.shift([" +
str(x) + r",\,0,\,0]),\,sq[2])}"
]
sq = [GeomSquare(0.75) for i in range(3)]
self.fadein(
*[
TextMobject(txtx[i]).move_to(each)
for i, each in enumerate(coord_grid(x0[1:], y0[0:1]))
],
*[
TextMobject(txty[i]).move_to(each)
for i, each in enumerate(coord_grid(x0[0:1], y0[1::2]))
],
*[GeomPoint(each) for each in coord_grid(x0[1:3], y0[2::2])],
*[
MobjectOrChars(np.ravel(list(zip(a1,
a2)))[i]).move_to(each)
for i, each in enumerate(coord_grid(x0[1:3], y0[1::2]))
],
*[
sq[i].move_to(each)
for i, each in enumerate(coord_grid(x0[1:2], y0[2::2]))
],
run_time=5)
self.play(AnimationGroup(
ShowCreation(sq[0].shift([x, 0, 0]), run_time=0),
ApplyMethod(sq[1].shift, [x, 0, 0]),
ApplyFunction(lambda mob: mob.shift([x, 0, 0]), sq[2])),
run_time=15)
self.fadeout()
if 1 == 1:
self.play(
GrowFromCenter(
TextMobject(
r"\textit{\textbf{\underline{Apply Method}}}").shift(
[0, 3.6, 0]).add_as_foreground(self)))
rows, cols = (8, 2)
x0, y0 = axes_point([-1.5, 6, cols], [3, -0.9, rows])
txty = [
MobjectOrChars(each) for each in [
r"FadeToColor(sq[0],\,RED)", r"ScaleInPlace(sq[1],\,0.5))",
"ShrinkToCenter(sq[2])", "Restore(sq[3])"
]
]
a1 = [
MobjectOrChars("\\normalsize{sq[" + str(i) + "]}")
for i in range(4)
]
sq = [GeomSquare(0.75) for i in range(4)]
self.fadein(
*[
to_get_zlist(a1, sq)[i].move_to(each)
for i, each in enumerate(coord_grid(x0[1:2], y0))
],
*[GeomPoint(each) for each in coord_grid(x0[1:2], y0[1::2])],
)
self.wait()
sq[3].save_state()
self.play(AnimationGroup(
IndicateThenFadeOut(TextMobject(
r"Transform(sq[3], Circle().scale(0.375).\\move\_to(sq[3]).shift([1, 0, 0])))"
).move_to([x0[0], y0[7], 0]),
scale_factor=1,
ratio_array=[1, 0]),
Transform(
sq[3],
Circle().scale(0.375).move_to(sq[3]).shift([1, 0, 0]))),
run_time=5)
self.wait()
self.fadein(
*[
txty[i].move_to(each)
for i, each in enumerate(coord_grid(x0[0:1], y0[1::2]))
], )
self.play(AnimationGroup(
FadeToColor(sq[0], RED),
ScaleInPlace(sq[1], 0.5),
ShrinkToCenter(sq[2]),
Restore(sq[3]),
),
run_time=35)
self.fadeout(exclude_mobjs="foreground")
if 1 == 1:
rows, cols = (6, 2)
x0, y0 = axes_point([-1.5, 6, cols], [3, -0.9, rows])
txty = [
MobjectOrChars(each) for each in [
r"ApplyPointwiseFunction(\\lambda\,pointarray:\,pointarray\,+\,[1,\,0,\,0],\,sq[0])",
r"ApplyMatrix([[1.23,\,0.9],\,[0,\,1]],\,sq[1])",
r"ApplyComplexFunction(lambda pointarray:\\pointarray\,+\,np.complex(1,\,0),\,sq[2])",
]
]
a1 = [
MobjectOrChars("\\normalsize{sq[" + str(i) + "]}")
for i in range(4)
]
sq = [GeomSquare(0.75) for i in range(4)]
self.fadein(
*[
to_get_zlist(a1, sq)[i].move_to(each)
for i, each in enumerate(coord_grid(x0[1:2], y0))
],
*[GeomPoint(each) for each in coord_grid(x0[1:2], y0[1::2])],
)
self.wait()
self.fadein(
*[
txty[i].move_to(each)
for i, each in enumerate(coord_grid(x0[0:1], y0[1::2]))
], )
self.play(AnimationGroup(
ApplyPointwiseFunction(
lambda pointarray: pointarray + [1, 0, 0], sq[0]),
ApplyMatrix([[1.23, 0.9], [0, 1]], sq[1]),
ApplyComplexFunction(
lambda pointarray: pointarray + np.complex(1, 0), sq[2]),
),
run_time=45)
self.fadeout()
if 1 == 1:
self.play(
GrowFromCenter(
TextMobject(
r"\textit{\textbf{\underline{Swap Method}}}").shift(
[0, 3.6, 0])))
rows, cols = (2, 2)
count = m, n = [2, 6]
x0, y0 = axes_point([-3.5, 6, cols], [2.4, -3.7, rows])
geometrys = [GeomLine(), GeomRegularPolygon(n, radius=2)]
txty = [
MobjectOrChars(each) for each in [
r"Swap(*sqs)\\ \tiny{(same as CyclicReplace)}",
r"CyclicReplace(*sqs)",
]
]
titles = [
[
MobjectOrChars("\\normalsize{sq[" + str(i) + "]}")
for i in range(m)
],
[
MobjectOrChars("\\normalsize{sq[" + str(i) + "]}")
for i in range(n)
],
]
sqs = [
[GeomSquare(1.) for i in range(m)],
[GeomSquare(1.) for i in range(n)],
]
[[
sq.add(title).add(GeomPoint())
for sq, title in zip(sqs[i], titles[i])
] for i in range(len(count))]
self.fadein(*[
geometrys[i].move_to(each)
for i, each in enumerate(coord_grid(x0[1:], y0[0:]))
])
self.fadein(*[
Group(*[
sqs[j][i].move_to(each) for i, each in enumerate(
geometrys[j].get_counting_points())
]) for j in range(2)
])
self.fadein(
*[
txty[i].move_to(each)
for i, each in enumerate(coord_grid(x0[0:1], y0[0:]))
], )
self.play(AnimationGroup(
Swap(*sqs[0]),
CyclicReplace(*sqs[1]),
),
run_time=35)
self.fadeout()
if 1 == 1:
self.play(EndScreen01())
self.wait(5)