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rabin_karp.py
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from manimlib.imports import *
from logo import LogoMixin
class BaseHash(Scene, LogoMixin):
def construct(self):
LogoMixin.construct(self)
b = TexMobject(*list(self.CONFIG["str"]))
b.arrange(RIGHT, buff=self.CONFIG["buff"], aligned_edge=BOTTOM)
b.scale(self.CONFIG["scale"])
b.to_edge(UP)
self.play(Write(b))
nums = []
prev = 0
prev_obj = None
for i, n in enumerate(
[ord(x) for x in (self.CONFIG["str"][: self.CONFIG["len"]])]
):
val = prev * 26 + n
a = TexMobject(*[prev, "\\times", 26, "+", n, "=", val])
a.set_color(BLUE)
for k, col in [(1, GREEN), (2, PURPLE_A), (3, GREEN), (5, GREEN)]:
a[k].set_color(col)
a.scale(0.8)
a.next_to(b[i], DOWN * 2)
a.shift(DOWN * (i + 0.5) * 1.15)
nums.append(a)
for j, aa in enumerate(a):
if j == 0 and prev_obj:
self.play(Write(Arrow(prev_obj, a[0])), run_time=0.5)
elif j == 4:
self.play(ApplyMethod(b[i].set_color, RED), run_time=0.5)
self.play(Write(Arrow(b[i], aa)), run_time=0.5)
self.play(ApplyMethod(b[i].set_color, WHITE), run_time=0.5)
self.play(Write(aa), run_time=0.5)
prev = val
prev_obj = a[-1]
self.wait(3)
class StringHash(BaseHash):
CONFIG = {"str": "algo", "len": 4, "scale": 2, "buff": LARGE_BUFF}
def construct(self):
BaseHash.construct(self)
class SentenceHash(BaseHash):
CONFIG = {"str": "pyth", "len": 4, "scale": 2, "buff": LARGE_BUFF}
def construct(self):
BaseHash.construct(self)
class RabinSlidingSimple(LogoMixin, MovingCameraScene):
def setup(self):
MovingCameraScene.setup(self)
def construct(self):
LogoMixin.construct(self)
a = TextMobject("pythonic0algorithms")
for i in range(1, len(a[0])):
a[0][i].set_x(a[0][i - 1].get_x() + 0.5)
a.center()
a[0][8].set_color(BLACK)
a.shift(UP)
b = TextMobject("algo")
for i in range(1, len(b[0])):
b[0][i].set_x(b[0][i - 1].get_x() + 0.5)
sentence = VGroup(a, b)
sentence.arrange_submobjects(DOWN, buff=MED_LARGE_BUFF)
b.align_to(a, LEFT)
self.play(Write(sentence))
frame = self.camera_frame
frame.save_state()
self.play(
ApplyMethod(frame.move_to, b), ApplyMethod(frame.scale, 0.5), run_time=2
)
self.play(ApplyMethod(b.align_to, a[0][9], LEFT), run_time=2)
self.play(
ApplyMethod(b.set_color, RED),
ApplyMethod(a[0][9:13].set_color, RED),
run_time=0.5,
)
self.play(
ApplyMethod(b.set_color, WHITE),
ApplyMethod(a[0][9:13].set_color, WHITE),
run_time=0.5,
)
self.play(ApplyMethod(b.align_to, a, RIGHT), run_time=2)
self.wait(5)
class RabinHashBasicEquation(ZoomedScene, LogoMixin):
CONFIG = {"str": "abcd", "len": 4, "scale": 2, "buff": LARGE_BUFF}
def construct(self):
LogoMixin.construct(self)
b = TexMobject(*list(self.CONFIG["str"]))
b.arrange(RIGHT, buff=self.CONFIG["buff"], aligned_edge=BOTTOM)
b.scale(self.CONFIG["scale"])
b.to_edge(UP)
b.shift(LEFT * 2)
self.play(Write(b))
prev = ["0"]
prev_obj = None
for i, n in enumerate([x for x in (self.CONFIG["str"][: self.CONFIG["len"]])]):
val = [n] if i == 0 else ["("] + prev + ["\\times", 26, "+", n, ")"]
a = TexMobject(*(prev + ["\\times", 26, "+", n]))
a.set_color(BLUE)
a.set_color_by_tex_to_color_map(
{"26": PURPLE_A, "+": GREEN, "\\times": GREEN}
)
a.scale(0.8)
a.next_to(b[i], DOWN * 2)
a.shift(DOWN * (i + 0.5) * 1.15)
for j, aa in enumerate(a):
if j == 0 and prev_obj:
self.play(Write(Arrow(prev_obj, a[0])), run_time=0.5)
elif j == len(a) - 1:
self.play(ApplyMethod(b[i].set_color, RED), run_time=0.5)
self.play(Write(Arrow(b[i], aa)), run_time=0.5)
self.play(ApplyMethod(b[i].set_color, WHITE), run_time=0.5)
self.play(Write(aa), run_time=0.5)
prev = val
prev_obj = a
self.wait()
frame = self.camera_frame
frame.save_state()
self.play(ApplyMethod(frame.move_to, prev_obj))
self.play(ApplyMethod(frame.scale, 0.5))
self.wait(10)
class RabinHashReorgEquation(ZoomedScene, LogoMixin):
def construct(self):
LogoMixin.construct(self)
a = TexMobject(
*"( ( a \\times 26 + b ) \\times 26 + c ) \\times 26 + d".split(" ")
)
a.set_color(BLUE)
a.set_color_by_tex_to_color_map({"26": PURPLE_A, "+": GREEN, r"\times": GREEN})
a.scale(2)
a.arrange(RIGHT)
self.play(Write(a))
for p in a.get_parts_by_tex("26"):
b = TexMobject(r"\beta")
b.scale(2)
b.set_color(PURPLE_A)
b.align_to(p, LEFT)
self.play(Transform(p, b))
for p in a.get_parts_by_tex(r"\times"):
self.play(FadeOut(p))
a.submobjects.remove(p)
b_square = TexMobject(r"\beta^{2}")
b_square.scale(2)
b_square.set_color(PURPLE_A)
b_square.align_to(a[3], LEFT, alignment_vect=RIGHT)
b = TexMobject(r"\beta")
b.scale(2)
b.set_color(PURPLE_A)
a.submobjects.insert(6, b.copy())
self.play(Transform(a[3], b_square), FadeOut(a[8]))
a.submobjects.pop(8)
self.play(ApplyMethod(a.arrange, RIGHT))
self.play(FadeOut(a[1]), FadeOut(a[7]))
a.submobjects.pop(7)
a.submobjects.pop(1)
self.play(ApplyMethod(a.arrange, RIGHT))
aa = TexMobject(*r"a \beta^{3} + b \beta^{2} + c \beta + d".split(" "))
aa.set_color(BLUE)
aa.set_color_by_tex_to_color_map(
{r"\beta": PURPLE_A, "+": GREEN, r"\times": GREEN}
)
aa.scale(2)
aa.arrange(RIGHT)
self.play(Transform(a, aa))
self.wait(5)
class RabinRollingHash(LogoMixin, MovingCameraScene):
def setup(self):
MovingCameraScene.setup(self)
def construct(self):
LogoMixin.construct(self)
a = TextMobject("pythonic0algorithms")
for i in range(1, len(a[0])):
a[0][i].set_x(a[0][i - 1].get_x() + 0.5)
a.center()
a.scale(1.4)
a[0][8].set_color(BLACK)
a.shift(UP)
self.play(Write(a))
i = 0
stack = []
pluses = []
sent = "pythonic0algorithms"
sents = "pythonic algorithms"
for obj, letter in zip(a[0], sent):
aa = TexMobject(*[letter, r"\beta^{" + str(3 - i) + "}" if i <= 3 else 0])
if i <= 3:
aa[1].set_color(BLACK)
col_dict = {
r"\beta^{0}": PURPLE_A,
r"\beta^{1}": PURPLE_A,
r"\beta^{2}": PURPLE_A,
r"\beta^{3}": PURPLE_A,
"+": GREEN,
r"\times": GREEN,
"0": BLACK,
}
aa.set_color_by_tex_to_color_map(col_dict)
aa.scale(0.8)
aa.align_to(obj, LEFT)
anims = []
out_anims = []
if i > 0 and i < len(sent):
plus = TexMobject("+")
pluses.append(plus)
plus.scale(0.5)
plus.set_color(GREEN)
plus.set_x((aa.get_x() + stack[-1].get_x()) / 2)
anims.append(Write(plus))
if len(pluses) > 3:
self.play(FadeOut(pluses.pop(0)), FadeOut(stack.pop(0)))
stack.append(aa)
anims.append(Write(aa))
self.play(*anims)
if i >= 3:
outside_beta = TexMobject(r"\beta")
l_brace = TexMobject("(")
l_brace.next_to(stack[0], LEFT)
r_brace = TexMobject(")")
r_brace.next_to(stack[-1], RIGHT)
outside_beta.next_to(r_brace, RIGHT)
outside_beta.scale(0.8)
outside_beta.set_color(PURPLE_A)
self.play(
GrowFromCenter(l_brace),
GrowFromCenter(r_brace),
GrowFromCenter(outside_beta),
)
b_anims = []
for item, j in zip(stack, range(3, -1, -1)):
beta = TexMobject(r"\beta^{" + str(j) + "}")
beta.scale(0.8)
beta.set_color(PURPLE_A)
beta.align_to(item[1], LEFT)
b_anims.append(Transform(item[1], beta))
self.play(
*b_anims, FadeOut(outside_beta), FadeOut(l_brace), FadeOut(r_brace)
)
# num = sum(ord(sents[j]) * (26 ** (4 - j)) for j in range(i - 4, i))
# num_obj = TextMobject(str(num))
# num_obj.next_to(stack[0], DOWN + RIGHT)
# self.play(Write(num_obj))
i += 1
# if i > 3:
# self.wait(2)
self.wait(5)