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Figuras.py
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Figuras.py
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import turtle
import random
def SetColor(cor = ("#000000"),espessura = 0):
turtle.resetscreen()
turtle.colormode(255)
turtle.color(cor)
turtle.pensize(espessura)
def ReescreverKochSnowFlake(NI):
axi = '-F+F+F---'
regra = 'F-F+F-F'
res = axi
for i in range(NI):
res = ''
for i in axi:
if(i == 'F'):
res = res + regra
elif i == '-':
res = res + '-'
else:
res = res + '+'
axi = res
return res
def InterpretarKochSnowFlake(Lado,NG):
turtle.speed(0)
tela = turtle.getscreen()
tela.tracer(8,25)
turtle.up()
turtle.bk(200)
turtle.down()
expressao = ReescreverKochSnowFlake(NG)
Lado = Lado/(3 ** NG)
turtle.hideturtle()
for i in expressao:
if(i == 'F'):
turtle.fd(Lado)
elif i == '-':
turtle.left(60)
else:
turtle.right(120)
turtle.update()
def ReescreverKochIsland(NI):
axi = 'F-F-F-F-'
regra = 'F-F+F+FF-F-F+F'
saida = axi
for i in range(NI):
saida = ''
for i in axi:
if(i == 'F'):
saida = saida + regra
elif i == '-':
saida = saida + '-'
else:
saida = saida + '+'
axi = saida
return saida
def InterpretarKochIsland(Lado,NG):
turtle.speed(0)
tela = turtle.getscreen()
tela.tracer(8,25)
turtle.up()
turtle.bk(200)
turtle.right(90)
turtle.fd(150)
turtle.left(90)
turtle.down()
expressao = ReescreverKochIsland(NG)
Lado = Lado / (4 ** NG)
turtle.hideturtle()
for i in expressao:
if(i == 'F'):
turtle.fd(Lado)
elif i == '-':
turtle.left(90)
else:
turtle.right(90)
turtle.update()
def ReescreverKochIslandLake(NI):
axi = 'F+F+F+F'
regra = 'F+f-FF+F+FF+Ff+FF-f+FF-F-FF-Ff-FFF'
saida = axi
for i in range(NI):
saida = ''
for i in axi:
if(i == 'F'):
saida = saida + regra
if(i == 'f'):
saida = saida + 'ffffff'
if(i == '-'):
saida = saida + '-'
if(i == '+'):
saida = saida + '+'
axi = saida
return saida
def InterpretarKochIslandLake(Lado,NG):
turtle.speed(0)
turtle.up()
tela = turtle.getscreen()
tela.tracer(5,10)
turtle.bk(200)
turtle.down()
Lado = Lado / (4 ** NG)
expressao = ReescreverKochIslandLake(NG)
turtle.hideturtle()
for i in expressao:
if(i == 'F'):
turtle.fd(Lado)
if(i == 'f'):
turtle.up()
turtle.fd(Lado)
turtle.down()
if(i == '-'):
turtle.left(90)
if(i == '+'):
turtle.right(90)
turtle.update()
def ReescreverKochPyramid(NI):
iniciador = "F"
gerador = "F-F+F+F-F"
saida = iniciador
for i in range(NI):
saida = ''
for i in iniciador:
if(i == 'F'):
saida = saida + gerador
else:
saida = saida + i
iniciador = saida
return saida
def InterpretarKochPyramid(Lado, NG):
turtle.speed(0)
tela = turtle.getscreen()
tela.tracer(8,25)
turtle.up()
turtle.bk(333)
turtle.right(90)
turtle.fd(250)
turtle.left(90)
turtle.down()
Lado = Lado / (3 ** NG)
expressao = ReescreverKochPyramid(NG)
turtle.hideturtle()
for i in expressao:
if(i == 'F'):
turtle.fd(Lado)
elif i == '-':
turtle.left(90)
else:
turtle.right(90)
turtle.update()
def ReescreverKochBox(NI):
iniciador = 'F-F-F-F'
gerador = 'FF-F-F-F-FF'
saida = iniciador
for i in range(NI):
saida = ''
for i in iniciador:
if(i == 'F'):
saida = saida + gerador
elif i == '-':
saida = saida + '-'
else:
saida = saida + '+'
iniciador = saida
return saida
def InterpretarKochBox(Lado,NG):
turtle.speed(0)
turtle.up()
turtle.bk(250)
turtle.right(90)
turtle.fd(250)
turtle.left(90)
turtle.down()
expressao = ReescreverKochBox(NG)
Lado = Lado/(4 ** NG)
tela = turtle.getscreen()
tela.tracer(8,25)
turtle.hideturtle()
for i in expressao:
if(i == 'F'):
turtle.fd(Lado)
elif i == '-':
turtle.left(90)
else:
turtle.right(90)
turtle.update()
def ReescreverKochSquare(NI):
iniciador = 'F-F-F-F-'
gerador = 'F_F+F_F'
saida = iniciador
for i in range(NI):
saida = ''
for i in iniciador:
if(i == 'F'):
saida = saida + gerador
elif i == '-':
saida = saida + '-'
elif i == '+':
saida = saida + '+'
else:
saida = saida + '_'
iniciador = saida
return saida
def InterpretarKochSquare(Lado,NG):
Lado = Lado / (3 ** NG)
expressao = ReescreverKochSquare(NG)
turtle.speed(0)
turtle.up()
tela = turtle.getscreen()
tela.tracer(12,25)
turtle.bk(250)
turtle.right(90)
turtle.fd(250)
turtle.left(90)
turtle.down()
turtle.hideturtle()
for i in expressao:
if(i == 'F'):
turtle.fd(Lado)
elif i == '-':
turtle.left(90)
elif i == '_':
turtle.left(85)
else:
turtle.right(170)
turtle.update()
def ReescreverKochStar(NI):
iniciador = 'F-F-F-F'
gerador = 'FF-F-F-F-F-F+F'
saida = iniciador
for i in range(NI):
saida = ''
for i in iniciador:
if(i == 'F'):
saida = saida + gerador
elif i == '-':
saida = saida + '-'
else:
saida = saida + '+'
iniciador = saida
return saida
def InterpretarKochStar(Lado,NG):
turtle.speed(0)
tela = turtle.getscreen()
tela.tracer(15,30)
turtle.up()
turtle.fd(200)
turtle.right(90)
turtle.fd(100)
turtle.left(90)
turtle.down()
Lado = Lado / (4 ** NG)
expressao = ReescreverKochStar(NG)
turtle.hideturtle()
for i in expressao:
if(i == 'F'):
turtle.fd(Lado)
elif i == '-':
turtle.left(90)
else:
turtle.right(90)
turtle.update()
def ReescreverKochRets(NI):
iniciador = 'F-F-F-F'
gerador = 'FF-F+F-F-FF'
saida = iniciador
for i in range(NI):
saida = ''
for i in iniciador:
if(i == 'F'):
saida = saida + gerador
elif i == '-':
saida = saida + '-'
else:
saida = saida + '+'
iniciador = saida
return saida
def InterpretarKochRets(Lado,NG):
turtle.speed(0)
tela = turtle.getscreen()
tela.tracer(5,25)
turtle.up()
turtle.down()
Lado = Lado/(4**NG)
expressao = ReescreverKochRets(NG)
turtle.hideturtle()
for i in expressao:
if(i == 'F'):
turtle.fd(Lado)
elif i == '-':
turtle.left(90)
else:
turtle.right(90)
turtle.update()
def ReescreverKochDragon(NI):
iniciador = 'F'
geradorA = 'F+f+'
geradorB = '-F-f'
saida = iniciador
for i in range(NI):
saida = ''
for i in iniciador:
if(i == 'F'):
saida = saida + geradorA
elif i == 'f':
saida = saida + geradorB
elif i == '-':
saida = saida + '-'
else:
saida = saida + '+'
iniciador = saida
return saida
def InterpretarKochDragon(Lado,NG):
turtle.speed(0)
tela = turtle.getscreen()
tela.tracer(5,25)
turtle.up()
turtle.bk(200)
turtle.down()
Lado = Lado / (2 ** NG)
expressao = ReescreverKochDragon(NG)
turtle.hideturtle()
for i in expressao:
if(i == 'F' or i == 'f'):
turtle.fd(Lado)
elif i == '-':
turtle.left(90)
else:
turtle.right(90)
turtle.update()
def ReescreverKochTrianguloB(NI):
iniciador = "F-G-G"
regraF = "F-F+F+F-G"
regraG = "GG"
saida = iniciador
for i in range(NI):
saida = ''
for i in iniciador:
if(i == 'F'):
saida = saida + regraF
elif i == 'G':
saida = saida + regraG
elif i == '-':
saida = saida + '-'
else:
saida = saida + '+'
iniciador = saida
return saida
def InterpretarKochTrianguloB(Lado,NG):
turtle.speed(0)
turtle.up()
tela = turtle.getscreen()
tela.tracer(5,25)
turtle.bk(300)
turtle.right(90)
turtle.fd(250)
turtle.left(90)
turtle.down()
Lado = Lado/(2 ** NG)
expressao = ReescreverKochTrianguloB(NG)
turtle.hideturtle()
for i in expressao:
if(i == 'F' or i == 'G'):
turtle.fd(Lado)
elif i == '-':
turtle.left(120)
else:
turtle.right(120)
turtle.update()
def ReescreverKochHex(NI):
iniciador = 'F'
geradorA = 'F+f++f-F--FF-f+'
geradorB = '-F+ff++f+F--F-f'
saida = iniciador
for i in range(NI):
saida = ''
for i in iniciador:
if(i == 'F'):
saida = saida + geradorA
elif i == 'f':
saida = saida + geradorB
elif i == '-':
saida = saida + '-'
else:
saida = saida + '+'
iniciador = saida
return saida
def InterpretarKochHex(Lado,NG):
turtle.speed(0)
tela = turtle.getscreen()
tela.tracer(15,25)
turtle.up()
turtle.fd(250)
turtle.left(90)
turtle.fd(150)
turtle.right(90)
turtle.down()
Lado = Lado / (3 ** NG)
expressao = ReescreverKochHex(NG)
turtle.hideturtle()
for i in expressao:
if(i == 'F' or i == 'f'):
turtle.fd(Lado)
elif i == '-':
turtle.left(60)
else:
turtle.right(60)
turtle.update()
def ReescreverKochMaze(NI):
iniciador = '-f'
geradorA = 'FF-f-f+F+F-f-fF+f+FFf-F+f+FF+f-Ff-f-F+F+ff-'
geradorB = '+FF-f-f+F+Ff+F-ff-F-f+Fff-F-fF+F+f-f-F+F+ff'
saida = iniciador
for i in range(NI):
saida = ''
for i in iniciador:
if(i == 'F'):
saida = saida + geradorA
elif i == 'f':
saida = saida + geradorB
elif i == '-':
saida = saida + '-'
else:
saida = saida + '+'
iniciador = saida
return saida
def InterpretarKochMaze(Lado,NG):
turtle.speed(0)
tela = turtle.getscreen()
tela.tracer(15,25)
turtle.up()
turtle.bk(200)
turtle.right(90)
turtle.fd(250)
turtle.left(90)
turtle.down()
Lado = Lado / (4 ** NG)
expressao = ReescreverKochMaze(NG)
turtle.hideturtle()
for i in expressao:
if(i == 'F' or i == 'f'):
turtle.fd(Lado)
elif i == '-':
turtle.left(90)
else:
turtle.right(90)
turtle.update()
def ReescreverHilbertCurve(NI):
axioma = 'X'
regraX = '+YF-XFX-FY+'
regraY = '-XF+YFY+FX-'
regraF = 'F'
saida = axioma
for i in range(NI):
saida = ''
for i in axioma:
if(i == 'X'):
saida += regraX
elif i == 'Y':
saida += regraY
elif i == 'F':
saida += regraF
else:
saida += i
axioma = saida
return saida
def InterpretarHilbertCurve(Lado,NG):
expressao = ReescreverHilbertCurve(NG)
Lado = Lado / (2 ** NG)
turtle.speed(0)
tela = turtle.getscreen()
tela.tracer(5,25)
turtle.up()
turtle.bk(250)
turtle.right(90)
turtle.fd(250)
turtle.left(90)
turtle.down()
turtle.hideturtle()
for i in expressao:
if(i == 'F' or i == 'X' or i == 'Y'):
turtle.fd(Lado)
elif i == '-':
turtle.right(90)
else:
turtle.left(90)
turtle.update()
def ReescreverHilbertCurveII(NI):
axioma = "X"
regraX = "XFYFX+F+YFXFY-F-XFYFX"
regraY = "YFXFY-F-XFYFX+F+YFXFY"
regraF = "F"
saida = axioma
for i in range(NI):
saida = ''
for i in axioma:
if(i == 'F'):
saida += regraF
elif i == 'X':
saida += regraX
elif i == 'Y':
saida += regraY
else:
saida += i
axioma = saida
return saida
def InterpretarHilbertCurveII(Lado, NG):
expressao = ReescreverHilbertCurveII(NG)
Lado = Lado / (2 ** NG)
turtle.speed(0)
tela = turtle.getscreen()
tela.tracer(5,25)
turtle.up()
turtle.bk(200)
turtle.right(90)
turtle.fd(250)
turtle.left(90)
turtle.down()
turtle.left(90)
turtle.hideturtle()
for i in expressao:
if(i == 'F' or i == 'X' or i == 'Y'):
turtle.fd(Lado)
elif i == '+':
turtle.right(90)
else:
turtle.left(90)
turtle.update()
def ReescreverSierpinskiSquare(NI):
axioma = "X--F--X--F"
regraX = "+Y-F-Y+"
regraY = "-X+F+X-"
regraF = "F"
saida = axioma
for i in range(NI):
saida = ''
for i in axioma:
if(i == 'F'):
saida += regraF
elif i == 'X':
saida += regraX
elif i == 'Y':
saida += regraY
else:
saida += i
axioma = saida
return saida
def InterpretarSierpinskiSquare(Lado, NG):
expressao = ReescreverSierpinskiSquare(NG)
turtle.speed(0)
tela = turtle.getscreen()
tela.tracer(5,25)
turtle.up()
turtle.bk(300)
turtle.down()
turtle.hideturtle()
for i in expressao:
if(i == 'F' or i == 'X' or i == 'Y'):
turtle.fd(Lado)
elif i == '-':
turtle.left(45)
else:
turtle.right(45)
turtle.update()
def ReescreverCrystal(NI):
axioma = "F+F+F+F"
regra = "FF+F++F+F"
saida = axioma
for i in range(NI):
saida = ''
for i in axioma:
if(i == 'F'):
saida += regra
else:
saida += i
axioma = saida
return saida
def InterpretarCrystal(Lado, NG):
expressao = ReescreverCrystal(NG)
turtle.speed(0)
turtle.up()
turtle.bk(250)
turtle.right(90)
turtle.fd(250)
turtle.left(90)
turtle.down()
tela = turtle.getscreen()
tela.tracer(5,25)
turtle.hideturtle()
for i in expressao:
if(i == 'F'):
turtle.fd(Lado)
elif i == '-':
turtle.right(90)
else:
turtle.left(90)
turtle.update()
def ReescreverString(iniciador, regras, NI):
saida = iniciador
termos = IdentificarTermos(regras)
ListaRegras = IdentificarRegras(regras)
for i in range(NI):
saida = ''
for i in iniciador:
if(ReconhecerTermo(termos,i) == -1):
saida = saida + i
else:
j = ReconhecerTermo(termos,i)
saida = saida + ListaRegras[j]
iniciador = saida
return saida
def InterpretarString(iniciador,gerador,ae,ad,Lado,NG,randomL = 0,randomAn = 0):
turtle.speed(0)
tela = turtle.getscreen()
tela.tracer(8,25)
turtle.up()
turtle.bk(100)
turtle.down()
expressao = ReescreverString(iniciador,gerador,NG)
p,h = [0,0],0
ultimo = 0
stack = []
turtle.hideturtle()
i = 0
while(i < len(expressao)):
if(expressao[i].isalpha() and expressao[i] != 'f' and expressao[i] != 'b' and expressao[i] != 'S'):
if(randomL > 0):
LadoR = random.randint(int((Lado - (randomL * Lado)/100)),int((Lado + (randomL * Lado)/100)))
turtle.fd(LadoR)
else:
turtle.fd(Lado)
if(expressao[i] == 'f'):
if(randomL > 0):
LadoR = random.randint(int((Lado - (randomL * Lado)/100)),int((Lado + (randomL * Lado)/100)))
turtle.up()
turtle.fd(LadoR)
turtle.down()
else:
turtle.up()
turtle.fd(Lado)
turtle.down()
if(expressao[i] == 'S'):
Lado = Lado/2
if(expressao[i] == 'b'):
turtle.up()
turtle.bk(100)
turtle.down()
if expressao[i] == '-':
if(randomAn > 0):
aeR = random.randint(int((ae - (randomAn * ae)/100)),int((ae + (randomAn * ae)/100)))
turtle.left(aeR)
else:
turtle.left(ae)
if(expressao[i] == '<'):
turtle.left(90)
if(expressao[i] == '>'):
turtle.right(90)
if(expressao[i] == '|'):
turtle.left(180)
if expressao[i] == '+':
if(randomAn > 0):
adR = random.randint(int((ad - (randomAn * ad)/100)),int((ad + (randomAn * ad)/100)))
turtle.right(adR)
else:
turtle.right(ad)
if expressao[i] == '[':
p = turtle.position()
h = turtle.heading()
stack.insert(ultimo,(p,h,Lado))
ultimo+=1
if expressao[i] == ']':
ultimo-=1
turtle.up()
turtle.setposition(stack[ultimo][0][0],stack[ultimo][0][1])
turtle.setheading(stack[ultimo][1])
Lado = stack[ultimo][2]
turtle.down()
if(expressao[i] == '('):
j = i
ang = ''
rotacao = ''
while(expressao[j] != ')'):
if(expressao[j] == '-'):
rotacao = '-'
elif(expressao[j] == '+'):
rotacao = '+'
elif(expressao[j].isdigit()):
ang += expressao[j]
j+=1
angInt = int(ang)
if(rotacao == '-'):
turtle.left(angInt)
elif rotacao == '+':
turtle.right(angInt)
i = j
i+=1
turtle.update()
def IdentificarRegras(regras):
saida = []
for i in range(len(regras)):
if regras[i] == '=':
regra = ''
j = i+1
while(regras[j] == ' '):
j+=1
while(regras[j] != ';' and j < len(regras)):
regra += regras[j]
j+=1
saida.append(regra)
return saida
def IdentificarTermos(regras):
saida = regras[0]
i = 0
while(i < len(regras)):
while(i < len(regras)and regras[i] != ';'):
i+=1
i+=1
while(i < len(regras) and (not regras[i].isalpha())):
i+=1
if(i < len(regras)):
saida = saida + regras[i]
i+=1
return saida
def ReconhecerTermo(termos, termo):
i = 0
while(termo != termos[i]):
i+=1
if (i >= len(termos)):
return - 1
return i