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kmp.py
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kmp.py
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from manimlib.imports import *
from manim_tuan import *
"""
TODO
0: 代码加颜色
1: 完善 frame_variable 的不同情况(s串长度为 5 | 10 | 15 | 20 ) 与优化 frame_code(即任何长度都保持居中动画演示)
2: 补充 bfFind 函数的代码
3: 添加两个版本的代码(冯、考研王道)
4: 调整 move_frame 移动速度
5: 选择性加入s串或t串的长度等于0时(不符合常规)的动画演示
"""
"""
BUG
1: 有时会有莫名其妙的越界(exp: s = "abaacababbaacaacbabc" | t = "ababc" ) (exp2: s = "abcde" | t = "ababc" )
【好像是当t串找不到s串匹配项的时候】
2: 为了缩短 kmp 代码语句，合并了 if 和 else 的部分，因此当 move_frame 移动时会产生歧义
3: Integer 代入 -1 时使用 set_value 数字会莫名其妙的变透明，因此我改用 Transform 代替
"""
"""
整体框架
1: 自定义信息(s串、t串、选择匹配方法)
2: 自定义函数代码
3: 四个函数(bf_find、get_next、get_nextval、kmp) 用于获取目标 next/nextvalue 值
4: 主类kmp的框架一: frame_code
5: 主类kmp的框架二: frame_variable
6: 主类kmp的框架三: frame_animation 的基本图形(S串、T串、T Next、i and j)构造
7: 主类kmp的框架三: frame_animation 的位置
8: 主类kmp的框架三: frame_animation 的演示函数(bfFind、getNext、getNextVal、kmpFind)
"""
"""
主要 VGroup 框架一览(sort)
variable_fixed
|
|__variable_rectangle
|__variable_SZ
|__variable_S_curlength
|__variable_TZ
|__variable_T_curlength
variable_transform
|
|__variable_Next/NextVal
|__variable_i
|__variable_j
|__variable_i_num
|__variable_j_num
s_all / t_all
|
|__s_square
|__s_num
|__s_rectangle
|__s_name
t_up_next_all
|
|__t_up_all
| |__t_up_square
| |__t_up_num
| |__t_up_rectangle
| |__t_up_name
|__t_next_all
| |__...
|
|__t_up_next_rectangle
|__t_up_next_line
i_j_all
|
|__i_all
| |__i_square
| |__i_triangle
| |__i_reveal
| |__i_reveal_front
| |__i_reveal_value
|
|__j_all
|__...
"""
"""
语句 * square.get_length() / 0.7 的作用是对图像与动画整体的一个缩放
detail:
一开始，我是以 square = MySquare(.., side_length=0.7, ..) 进行动画绘制
后面为了调整画面整体框架，于是将 kmp 动画部分整体缩小
我采用的策略是将所有移动、对其、缩放等函数的基本单位设置为 square 的长度，即 square.get_length() / 0.7 (= narrow_multiple)
当需要调整 kmp 动画部分整体大小时只需要重设 square = MySquare(.., side_length= x , ..) 即可
"""
# bfFind
# getNext
# getNextVal
# kmpFind
# 自定义串信息( 1 <= len(t) <= len(s) <= 15 )
s = "abaacababcac"
t = "ababc"
chose = 2 # 1:bfFind 2:getNext + kmpFind 3:getNextVal + kmpFind
# 自定义函数代码(若需更改代码，其行数与格式必须保持一致)
getNext_codes = [
"void String::getNext(const String &t, int *next)",
"{",
" int i = 0, j = -1;",
" next[0] = -1;",
" while (i < t.curLength - 1)",
" {",
" if ((j == -1) || (t[i] == t[j]))",
" {",
" ++i, ++j;",
" next[i] = j;",
" }",
" else",
" j = next[j];",
" }",
"}",
]
getNextVal_codes = [
"void String::getNextVal(const String &t, int *nextVal)",
"{",
" int i = 0, j = -1;",
" nextVal[0] = -1;",
" while (i < t.curLength - 1)",
" {",
" if ((j == -1) || (t[i] == t[j]))",
" {",
" ++i, ++j;",
" if (t[i] != t[j])",
" nextVal[i] = j;",
" else",
" nextVal[i] = nextVal[j];",
" }",
" else",
" j = nextVal[j];",
" }",
"}",
]
kmpFind_codes = [
"int String::kmpFind(const String &t, int pos)",
"{",
" if (t.curLength == 0) return 0;",
" if (curLength < t.curLength) return -1;",
" int i = 0, j = 0;",
" int *next = new int[t.curLength];",
" getNextVal(t, next);",
" while (i < curLength && j < t.curLength)",
" {",
" if (j == -1 || data[i] == t.data[j])",
" i++, j++;",
" else",
" j = next[j];",
" }",
" delete[] next;",
" if (j >= t.curLength) return (i - t.curLength);",
" else return -1;",
"}",
]
def get_next(t):
i = 0
j = -1
length = len(t)
result_next = [0] * length
result_next[0] = -1
while i < length - 1:
if j == -1 or t[j] == t[i]:
i += 1
j += 1
result_next[i] = j
else:
j = result_next[j]
return result_next
def get_nextval(t):
i = 0
j = -1
length = len(t)
result_next = [0] * length
result_next[0] = -1
while i < length - 1:
if j == -1 or t[j] == t[i]:
i += 1
j += 1
if t[i] != t[j]:
result_next[i] = j
else:
result_next[i] = result_next[j]
else:
j = result_next[j]
return result_next
def kmp(s, t, next_list):
s_length = len(s)
t_length = len(t)
i = 0
j = 0
while i < s_length and j < t_length:
if j == -1 or s[i] == t[j]:
i += 1
j += 1
else:
j = next_list[j]
if j >= t_length:
return i - j
else:
return -1
class bf(Scene):
def construct(self):
pass
class 供bf参考的gn(Scene):
def construct(self):
# S 串
s = "abaacababcac"
length_s = len(s)
square = Square(color=BLUE, side_length=0.7, stroke_opacity=0)
s_square = VGroup()
s_num = VGroup()
for i in range(length_s):
s_square.add(square.copy())
s_num.add(Text("{}".format(s[i])).scale(0.6))
s_square.arrange(RIGHT, buff=0)
for i in range(length_s):
s_num[i].move_to(s_square[i])
s_rectangle = (
Rectangle(color=RED, height=0.9, width=0.7 * length_s + 1.8)
.move_to(s_square.get_center())
.align_to(s_square, RIGHT)
.shift(RIGHT * 0.1)
)
s_name = (
Text("SZ |")
.scale(0.7)
.move_to(s_rectangle.get_center())
.align_to(s_rectangle, LEFT)
.shift(RIGHT * 0.425)
)
s_all = VGroup(s_square, s_num, s_rectangle, s_name)
s_all.move_to(np.array([0, 0, 0])) # reference
# self.add(s_all)
# T 串
t = "ababc"
length_t = len(t)
t_square = VGroup()
t_num = VGroup()
for i in range(length_t):
t_square.add(square.copy())
t_num.add(Text("{}".format(t[i])).scale(0.6))
t_square.arrange(RIGHT, buff=0)
for i in range(length_t):
t_num[i].move_to(t_square[i])
t_rectangle = (
Rectangle(color=RED, height=0.9, width=0.7 * length_t + 1.8)
.move_to(t_square.get_center())
.align_to(t_square, RIGHT)
.shift(RIGHT * 0.1)
)
t_name = (
Text("TZ |")
.scale(0.7)
.move_to(t_rectangle.get_center())
.align_to(t_rectangle, LEFT)
.shift(RIGHT * 0.425)
)
t_all = VGroup(t_square, t_num, t_rectangle, t_name)
t_all.next_to(s_all, DOWN, buff=0.5) # reference
# self.add(t_all)
# T Next(t_up + t_next)
t_up_all = t_all.copy()
t_next = t
t_next_square = t_square.copy()
t_next_num = VGroup()
next_ = get_next(t) # T串的Next值列表
for i in range(length_t):
t_next_num.add(Text("{}".format(next_[i]), color=BLACK).scale(0.6))
t_next_num[i].move_to(t_next_square[i])
t_next_rectangle = (
Rectangle(color=RED, height=0.9, width=0.7 * length_t + 1.8)
.move_to(t_next_square.get_center())
.align_to(t_next_square, RIGHT)
.shift(RIGHT * 0.1)
)
t_next_name = (
Text("Next|")
.scale(0.7)
.move_to(t_next_rectangle.get_center())
.align_to(t_next_rectangle, LEFT)
.shift(RIGHT * 0.125)
)
t_next_all = VGroup(
t_next_square, t_next_num, t_next_rectangle, t_next_name
).next_to(t_up_all, DOWN, buff=0)
t_up_next_all = VGroup(t_up_all, t_next_all)
t_up_next_rectangle = Rectangle(
color=YELLOW, height=1.8, width=0.7 * length_t + 1.8
).move_to(t_up_next_all.get_center())
t_up_next_all.add(t_up_next_rectangle).move_to(np.array([0, 0, 0]))
t_up_next_line = Line(
t_up_next_rectangle.get_vertices()[0],
t_up_next_rectangle.get_vertices()[1],
color=YELLOW,
).move_to(t_up_next_all.get_center())
t_up_next_all.add(t_up_next_line)
# self.add(t_up_next_all)
# i and j
i_square = Square(color=PURPLE, side_length=1)
j_square = i_square.copy()
i_triangle = (
Triangle(fill_opacity=1, color=YELLOW)
.scale(0.12)
.rotate(PI)
.move_to(i_square.get_center())
.shift(DOWN * 0.2)
)
j_triangle = (
Triangle(fill_opacity=1, color=YELLOW)
.scale(0.12)
.move_to(j_square.get_center())
.shift(UP * 0.2)
)
i_reveal_front = (
Text("i:", color=WHITE)
.scale(0.4)
.move_to(i_square.get_center())
.shift(UP * 0.21 + LEFT * 0.13)
)
i_reveal_value = (
Integer(0, color=WHITE)
.scale(0.4)
.move_to(i_square.get_center())
.shift(UP * 0.21 + RIGHT * 0.2)
)
i_reveal = VGroup(i_reveal_front, i_reveal_value)
j_reveal_front = (
Text("j:", color=WHITE)
.scale(0.4)
.move_to(j_square.get_center())
.shift(DOWN * 0.21 + LEFT * 0.13)
)
j_reveal_value = (
Integer(-1, color=WHITE)
.scale(0.4)
.move_to(j_square.get_center())
.shift(DOWN * 0.21 + RIGHT * 0.3)
)
j_reveal = VGroup(j_reveal_front, j_reveal_value)
i_all = VGroup(i_square, i_triangle, i_reveal)
j_all = VGroup(j_square, j_triangle, j_reveal)
i_j_all = VGroup(i_all, j_all)
# self.add(i_j_all)
# show get_next
# position + updater
t_up_next_all.move_to(np.array([0, 0, 0]))
t_all.next_to(t_up_next_all, DOWN, buff=0.15).shift(RIGHT * 0.7)
invision = square.copy().move_to(t_all[0][0])
i_all.next_to(t_up_next_all[0][0][0], UP, buff=0.35)
j_all.next_to(t_all[0][0], DOWN, buff=0.35).align_to(i_all, LEFT)
# MaintainPositionRelativeTo
self.add(t_all, t_up_next_all, invision, i_j_all)
# function
i = 0
j = -1
length = len(t)
result_next = [0] * length
result_next[0] = -1
self.play(t_up_next_all[1][1][0].set_color, WHITE)
self.play(
t_up_next_all[1][0][i].set_stroke,
{"opacity": 1},
t_up_next_all[0][0][i].set_stroke,
{"opacity": 1},
)
while i < length - 1:
if j == -1 or t[j] == t[i]:
i += 1
j += 1
self.play(
MaintainPositionRelativeTo(
j_all, i_all), i_all.shift, RIGHT * 0.7
)
self.play(i_all[2][1].set_value, i, j_all[2][1].set_value, j)
if j >= 1:
self.play(
t_up_next_all[1][0][i - 1].set_stroke,
{"opacity": 0},
t_up_next_all[0][0][i - 1].set_stroke,
{"opacity": 0},
t_up_next_all[1][0][i].set_stroke,
{"opacity": 1},
t_up_next_all[0][0][i].set_stroke,
{"opacity": 1},
t_all[0][j - 1].set_stroke,
{"opacity": 0},
t_all[0][j].set_stroke,
{"opacity": 1},
)
else:
self.play(
t_up_next_all[1][0][i - 1].set_stroke,
{"opacity": 0},
t_up_next_all[0][0][i - 1].set_stroke,
{"opacity": 0},
t_up_next_all[1][0][i].set_stroke,
{"opacity": 1},
t_up_next_all[0][0][i].set_stroke,
{"opacity": 1},
t_all[0][j].set_stroke,
{"opacity": 1},
)
result_next[i] = j
self.play(t_up_next_all[1][1][i].set_color, WHITE)
else:
if j != -1:
self.play(t_all[0][j].set_stroke, {"opacity": 0})
self.play(
MaintainPositionRelativeTo(t_all, invision),
invision.shift,
RIGHT * 0.7 * (j - result_next[j]),
)
j = result_next[j]
if j >= 0:
self.play(
t_all[0][j].set_stroke, {"opacity": 1},
)
self.play(j_all[2][1].set_value, j)
# return result_next
class 供bf参考的gnv(Scene):
def construct(self):
# S 串
s = "abaacababcac"
length_s = len(s)
square = Square(color=BLUE, side_length=0.7, stroke_opacity=0)
s_square = VGroup()
s_num = VGroup()
for i in range(length_s):
s_square.add(square.copy())
s_num.add(Text("{}".format(s[i])).scale(0.6))
s_square.arrange(RIGHT, buff=0)
for i in range(length_s):
s_num[i].move_to(s_square[i])
s_rectangle = (
Rectangle(color=RED, height=0.9, width=0.7 * length_s + 1.8)
.move_to(s_square.get_center())
.align_to(s_square, RIGHT)
.shift(RIGHT * 0.1)
)
s_name = (
Text("SZ |")
.scale(0.7)
.move_to(s_rectangle.get_center())
.align_to(s_rectangle, LEFT)
.shift(RIGHT * 0.425)
)
s_all = VGroup(s_square, s_num, s_rectangle, s_name)
s_all.move_to(np.array([0, 0, 0])) # reference
# self.add(s_all)
# T 串
t = "ababc"
length_t = len(t)
t_square = VGroup()
t_num = VGroup()
for i in range(length_t):
t_square.add(square.copy())
t_num.add(Text("{}".format(t[i])).scale(0.6))
t_square.arrange(RIGHT, buff=0)
for i in range(length_t):
t_num[i].move_to(t_square[i])
t_rectangle = (
Rectangle(color=RED, height=0.9, width=0.7 * length_t + 1.8)
.move_to(t_square.get_center())
.align_to(t_square, RIGHT)
.shift(RIGHT * 0.1)
)
t_name = (
Text("TZ |")
.scale(0.7)
.move_to(t_rectangle.get_center())
.align_to(t_rectangle, LEFT)
.shift(RIGHT * 0.425)
)
t_all = VGroup(t_square, t_num, t_rectangle, t_name)
t_all.next_to(s_all, DOWN, buff=0.5) # reference
# self.add(t_all)
# T NextValue(t_up + t_next)
t_up_all = t_all.copy()
t_next = t
t_next_square = t_square.copy()
t_next_num = VGroup()
next_ = get_nextval(t) # T串的NextValue值列表
for i in range(length_t):
t_next_num.add(Text("{}".format(next_[i]), color=BLACK).scale(0.6))
t_next_num[i].move_to(t_next_square[i])
t_next_rectangle = (
Rectangle(color=RED, height=0.9, width=0.7 * length_t + 1.8)
.move_to(t_next_square.get_center())
.align_to(t_next_square, RIGHT)
.shift(RIGHT * 0.1)
)
t_next_name = (
Text("Next|")
.scale(0.7)
.move_to(t_next_rectangle.get_center())
.align_to(t_next_rectangle, LEFT)
.shift(RIGHT * 0.125)
)
t_next_all = VGroup(
t_next_square, t_next_num, t_next_rectangle, t_next_name
).next_to(t_up_all, DOWN, buff=0)
t_up_next_all = VGroup(t_up_all, t_next_all)
t_up_next_rectangle = Rectangle(
color=YELLOW, height=1.8, width=0.7 * length_t + 1.8
).move_to(t_up_next_all.get_center())
t_up_next_all.add(t_up_next_rectangle).move_to(np.array([0, 0, 0]))
t_up_next_line = Line(
t_up_next_rectangle.get_vertices()[0],
t_up_next_rectangle.get_vertices()[1],
color=YELLOW,
).move_to(t_up_next_all.get_center())
t_up_next_all.add(t_up_next_line)
# self.add(t_up_next_all)
# i and j
i_square = Square(color=PURPLE, side_length=1)
j_square = i_square.copy()
i_triangle = (
Triangle(fill_opacity=1, color=YELLOW)
.scale(0.12)
.rotate(PI)
.move_to(i_square.get_center())
.shift(DOWN * 0.2)
)
j_triangle = (
Triangle(fill_opacity=1, color=YELLOW)
.scale(0.12)
.move_to(j_square.get_center())
.shift(UP * 0.2)
)
i_reveal_front = (
Text("i:", color=WHITE)
.scale(0.4)
.move_to(i_square.get_center())
.shift(UP * 0.21 + LEFT * 0.13)
)
i_reveal_value = (
Integer(0, color=WHITE)
.scale(0.4)
.move_to(i_square.get_center())
.shift(UP * 0.21 + RIGHT * 0.2)
)
i_reveal = VGroup(i_reveal_front, i_reveal_value)
j_reveal_front = (
Text("j:", color=WHITE)
.scale(0.4)
.move_to(j_square.get_center())
.shift(DOWN * 0.21 + LEFT * 0.13)
)
j_reveal_value = (
Integer(-1, color=WHITE)
.scale(0.4)
.move_to(j_square.get_center())
.shift(DOWN * 0.21 + RIGHT * 0.3)
)
j_reveal = VGroup(j_reveal_front, j_reveal_value)
i_all = VGroup(i_square, i_triangle, i_reveal)
j_all = VGroup(j_square, j_triangle, j_reveal)
i_j_all = VGroup(i_all, j_all)
# self.add(i_j_all)
# show get_nextval
# position + updater
t_up_next_all.move_to(np.array([0, 0, 0]))
t_all.next_to(t_up_next_all, DOWN, buff=0.15).shift(RIGHT * 0.7)
invision = square.copy().move_to(t_all[0][0])
i_all.next_to(t_up_next_all[0][0][0], UP, buff=0.35)
j_all.next_to(t_all[0][0], DOWN, buff=0.35).align_to(i_all, LEFT)
# MaintainPositionRelativeTo
self.add(t_all, t_up_next_all, invision, i_j_all)
# function
i = 0
j = -1
length = len(t)
result_next = [0] * length
result_next[0] = -1
self.play(t_up_next_all[1][1][0].set_color, WHITE)
self.play(
t_up_next_all[1][0][i].set_stroke,
{"opacity": 1},
t_up_next_all[0][0][i].set_stroke,
{"opacity": 1},
)
while i < length - 1:
if j == -1 or t[j] == t[i]:
i += 1
j += 1
self.play(
MaintainPositionRelativeTo(
j_all, i_all), i_all.shift, RIGHT * 0.7,
)
self.play(i_all[2][1].set_value, i, j_all[2][1].set_value, j)
if t[i] != t[j]:
if j >= 1:
self.play(
t_up_next_all[1][0][i - 1].set_stroke,
{"opacity": 0},
t_up_next_all[0][0][i - 1].set_stroke,
{"opacity": 0},
t_up_next_all[1][0][i].set_stroke,
{"opacity": 1},
t_up_next_all[0][0][i].set_stroke,
{"opacity": 1},
t_all[0][j - 1].set_stroke,
{"opacity": 0},
t_all[0][j].set_stroke,
{"opacity": 1},
)
else:
self.play(
t_up_next_all[1][0][i - 1].set_stroke,
{"opacity": 0},
t_up_next_all[0][0][i - 1].set_stroke,
{"opacity": 0},
t_up_next_all[1][0][i].set_stroke,
{"opacity": 1},
t_up_next_all[0][0][i].set_stroke,
{"opacity": 1},
t_all[0][j].set_stroke,
{"opacity": 1},
)
result_next[i] = j
self.play(t_up_next_all[1][1][i].set_color, WHITE)
else:
self.play(
t_up_next_all[1][0][i - 1].set_stroke,
{"opacity": 0},
t_up_next_all[0][0][i - 1].set_stroke,
{"opacity": 0},
t_up_next_all[1][0][i].set_stroke,
{"opacity": 1},
t_up_next_all[0][0][i].set_stroke,
{"opacity": 1},
t_all[0][j - 1].set_stroke,
{"opacity": 0},
t_all[0][j].set_stroke,
{"opacity": 1},
)
# 让 result_next[j] 移动到 result_next[i]
temp_t_next_num = t_up_next_all[1][1][j].copy()
temp_t_next_square = (
square.copy()
.set_stroke(opacity=0)
.move_to(t_up_next_all[1][0][j])
)
temp_t_next_num_square = VGroup(
temp_t_next_num, temp_t_next_square)
# temp_t_next_square 先出现
self.play(temp_t_next_square.set_stroke, {"opacity": 1})
self.play(
temp_t_next_num_square.shift, RIGHT * 0.7 * (i - j), run_time=1
)
result_next[i] = result_next[j]
self.play(
t_up_next_all[1][1][i].set_color, WHITE,
)
# temp_t_next_num_square 消失
self.play(FadeOut(temp_t_next_num_square), run_time=0.5)
else:
if j != -1:
self.play(t_all[0][j].set_stroke, {"opacity": 0})
self.play(
MaintainPositionRelativeTo(t_all, invision),
invision.shift,
RIGHT * 0.7 * (j - result_next[j]),
)
j = result_next[j]
if j >= 0:
self.play(
t_all[0][j].set_stroke, {"opacity": 1},
)
self.play(j_all[2][1].set_value, j)
# return result_next
class 供bf参考的kmp(Scene):
def construct(self):
# S 串
s = "abaacababcac"
length_s = len(s)
square = Square(color=BLUE, side_length=0.7, stroke_opacity=0)
s_square = VGroup()
s_num = VGroup()
for i in range(length_s):
s_square.add(square.copy())
s_num.add(Text("{}".format(s[i])).scale(0.6))
s_square.arrange(RIGHT, buff=0)
for i in range(length_s):
s_num[i].move_to(s_square[i])
s_rectangle = (
Rectangle(color=RED, height=0.9, width=0.7 * length_s + 1.8)
.move_to(s_square.get_center())
.align_to(s_square, RIGHT)
.shift(RIGHT * 0.1)
)
s_name = (
Text("SZ |")
.scale(0.7)
.move_to(s_rectangle.get_center())
.align_to(s_rectangle, LEFT)
.shift(RIGHT * 0.425)
)
s_all = VGroup(s_square, s_num, s_rectangle, s_name)
s_all.move_to(np.array([0, 0, 0])) # reference
# self.add(s_all)
# T 串
t = "ababc"
length_t = len(t)
t_square = VGroup()
t_num = VGroup()
for i in range(length_t):
t_square.add(square.copy())
t_num.add(Text("{}".format(t[i])).scale(0.6))
t_square.arrange(RIGHT, buff=0)
for i in range(length_t):
t_num[i].move_to(t_square[i])
t_rectangle = (
Rectangle(color=RED, height=0.9, width=0.7 * length_t + 1.8)
.move_to(t_square.get_center())
.align_to(t_square, RIGHT)
.shift(RIGHT * 0.1)
)
t_name = (
Text("TZ |")
.scale(0.7)
.move_to(t_rectangle.get_center())
.align_to(t_rectangle, LEFT)
.shift(RIGHT * 0.425)
)
t_all = VGroup(t_square, t_num, t_rectangle, t_name)
t_all.next_to(s_all, DOWN, buff=0.5) # reference
# self.add(t_all)
# T Next(t_up + t_next)
t_up_all = t_all.copy()
t_next = t
t_next_square = t_square.copy()
t_next_num = VGroup()
next_ = get_next(t) # T串的Next值列表
# next_ = get_nextval(t) # T串的NextValue值列表
for i in range(length_t):
t_next_num.add(Text("{}".format(next_[i]), color=WHITE).scale(0.6))
t_next_num[i].move_to(t_next_square[i])
t_next_rectangle = (
Rectangle(color=RED, height=0.9, width=0.7 * length_t + 1.8)
.move_to(t_next_square.get_center())
.align_to(t_next_square, RIGHT)
.shift(RIGHT * 0.1)
)
t_next_name = (
Text("Next|")
.scale(0.7)
.move_to(t_next_rectangle.get_center())
.align_to(t_next_rectangle, LEFT)
.shift(RIGHT * 0.125)
)
t_next_all = VGroup(
t_next_square, t_next_num, t_next_rectangle, t_next_name
).next_to(t_up_all, DOWN, buff=0)
t_up_next_all = VGroup(t_up_all, t_next_all)
t_up_next_rectangle = Rectangle(
color=YELLOW, height=1.8, width=0.7 * length_t + 1.8
).move_to(t_up_next_all.get_center())
t_up_next_all.add(t_up_next_rectangle).move_to(np.array([0, 0, 0]))
t_up_next_line = Line(
t_up_next_rectangle.get_vertices()[0],
t_up_next_rectangle.get_vertices()[1],
color=YELLOW,
).move_to(t_up_next_all.get_center())
t_up_next_all.add(t_up_next_line)
# self.add(t_up_next_all)
# i and j
i_square = Square(color=PURPLE, side_length=1)
j_square = i_square.copy()
i_triangle = (
Triangle(fill_opacity=1, color=YELLOW)
.scale(0.12)
.rotate(PI)
.move_to(i_square.get_center())
.shift(DOWN * 0.2)
)
j_triangle = (
Triangle(fill_opacity=1, color=YELLOW)
.scale(0.12)
.move_to(j_square.get_center())
.shift(UP * 0.2)
)
i_reveal_front = (
Text("i:", color=WHITE)
.scale(0.4)
.move_to(i_square.get_center())
.shift(UP * 0.21 + LEFT * 0.13)
)
i_reveal_value = (
Integer(0, color=WHITE)
.scale(0.4)
.move_to(i_square.get_center())
.shift(UP * 0.21 + RIGHT * 0.2)
)
i_reveal = VGroup(i_reveal_front, i_reveal_value)
j_reveal_front = (
Text("j:", color=WHITE)
.scale(0.4)
.move_to(j_square.get_center())
.shift(DOWN * 0.21 + LEFT * 0.13)
)
j_reveal_value = (
Integer(0, color=WHITE)
.scale(0.4)
.move_to(j_square.get_center())
.shift(DOWN * 0.21 + RIGHT * 0.2)
)
j_reveal = VGroup(j_reveal_front, j_reveal_value)
i_all = VGroup(i_square, i_triangle, i_reveal)
j_all = VGroup(j_square, j_triangle, j_reveal)
i_j_all = VGroup(i_all, j_all)
# self.add(i_j_all)
# show kmp
# position + updater
s_all.move_to(np.array([0, 0, 0]))
t_up_next_all.next_to(s_all, DOWN, buff=0.15).align_to(s_all, LEFT)
invision = square.copy().move_to(t_up_next_all[0][0][0])
i_all.next_to(s_all[0][0], UP, buff=0.35)
j_all.next_to(t_up_next_all[1][0][0], DOWN,
buff=0.35).align_to(i_all, LEFT)
# MaintainPositionRelativeTo
self.add(s_all, t_up_next_all, invision, i_j_all)
# function
next_list = next_
s_length = len(s)
t_length = len(t)
i = 0
j = 0
self.play(
s_all[0][i].set_stroke,
{"opacity": 1},
t_up_next_all[1][0][i].set_stroke,
{"opacity": 1},
t_up_next_all[0][0][i].set_stroke,
{"opacity": 1},
)
while i < s_length and j < t_length:
if j == -1 or s[i] == t[j]:
i += 1
j += 1
self.play(
MaintainPositionRelativeTo(
j_all, i_all), i_all.shift, RIGHT * 0.7
)
self.play(i_all[2][1].set_value, i, j_all[2][1].set_value, j)
if j < t_length:
self.play(
s_all[0][i - 1].set_stroke,
{"opacity": 0},
s_all[0][i].set_stroke,
{"opacity": 1},
t_up_next_all[1][0][j - 1].set_stroke,
{"opacity": 0},
t_up_next_all[0][0][j - 1].set_stroke,
{"opacity": 0},
t_up_next_all[1][0][j].set_stroke,
{"opacity": 1},
t_up_next_all[0][0][j].set_stroke,
{"opacity": 1},
)
else:
if j != -1:
self.play(
t_up_next_all[1][0][j].set_stroke,
{"opacity": 0},
t_up_next_all[0][0][j].set_stroke,
{"opacity": 0},
)
self.play(
MaintainPositionRelativeTo(t_up_next_all, invision),
invision.shift,
RIGHT * 0.7 * (j - next_list[j]),
)
j = next_list[j]
self.play(j_all[2][1].set_value, j)
if j != -1:
self.play(
t_up_next_all[1][0][j].set_stroke,
{"opacity": 1},
t_up_next_all[0][0][j].set_stroke,
{"opacity": 1},
)
if j >= t_length:
pass
# return i - j
else:
pass
# return -1
class Scene_White(Scene):
CONFIG = {"camera_config": {
"background_color": WHITE, "use_plot_depth": True, }}
class kmp(Scene_White):
def construct(self):
# Frame 整体框架
# height: 8 * width: 14.2
frame_code = Rectangle(
color=BLUE, stroke_opacity=0, height=4.5, width=(7.1 + 1),
).to_corner(DL, buff=0)
frame_variable = Rectangle(
color=RED, stroke_opacity=0, height=4.5, width=(7.1 - 1),
).to_corner(DR, buff=0)
frame_animation = Rectangle(
color="#ffa400",
stroke_width=5,
stroke_opacity=0,
fill_color=WHITE,
fill_opacity=1,
height=3.5,
width=14.2,
).to_corner(UP, buff=0)
self.add(frame_code, frame_variable, frame_animation)
self.wait()
# 代码背景框
background = RoundedRectangle(
stroke_width=1,
stroke_color=GRAY,
fill_color="#EBEBEB",
fill_opacity=0.95,
plot_depth=-1,
corner_radius=0.05,
sheen_factor=0.1,
sheen_direction=UR,
)
background.set_height(4, stretch=True).set_width(6.5, stretch=True)
background.move_to(frame_code)
self.add(background)
# frame_code 背景 + 代码 + 移动框
class codeline_kmp(Text):
CONFIG = {
"t2c": {".": WHITE, "t.": BLACK}, # t. 需要和 . 区分开
"size": 0.37,
"color": BLACK,
"font": "Consolas",
}
def __init__(self, text, **kwargs):
Text.__init__(self, text, **kwargs)
class codeline_gn(Text):
CONFIG = {
"t2c": {".": WHITE, "t.": BLACK}, # t. 需要和 . 区分开
"size": 0.45,
"color": BLACK,
"font": "Consolas",
}
def __init__(self, text, **kwargs):
Text.__init__(self, text, **kwargs)
class codeline_gnv(Text):
CONFIG = {
"t2c": {".": WHITE, "t.": BLACK}, # t. 需要和 . 区分开
"size": 0.37,