E-INTERATIVIDADE.sagews

%auto
typeset_mode(True, display=False)

INTERATIVIDADE

Recursos Básicos

• Botao

@interact
def fbotao(Aperte=selector(['Sage', 'Julia', 'Python','Octave'],buttons=True)):
    show(Aperte)

Interact: please open in CoCalc

@interact
def fbotoes(Aperte=selector(['Sage', 'Julia', 'Python','Octave','Scilab','Maxima'],nrows=2,ncols = 3,buttons=True)):
    show(Aperte)

Interact: please open in CoCalc

• Seletor

@interact
def fselecao(selecione=selector(['Sage', 'Julia', 'Python','Octave'])):
    show(selecione)

Interact: please open in CoCalc

• Faixa de valores (slider)

@interact
def frange_slider(numero = ('Numero',(1,10))):
    show(numero)

Interact: please open in CoCalc

@interact
def fslider(faixa = range_slider(-3,3,default=(-3,3))):
    show(faixa)

Interact: please open in CoCalc

• Seletor de Cor

@interact
def fcolor(c = color_selector('blue')):
    print(c)

Interact: please open in CoCalc

• Check Box

@interact
def fcheckbox(check=checkbox(True, label='Marque')):
    show(check)

Interact: please open in CoCalc

• Lista de Objetos

@interact
def _(lista=('Lista', input_grid(1, 4, default=[[1,2,3,'bola']]))):
    show(lista)

Interact: please open in CoCalc

• Tabela

@interact
def _(tabela=('Tabela', input_grid(2, 3, default=[[1,2,3],[4,4,4]]))):
    show(tabela)

Interact: please open in CoCalc

• Gráficos

@interact
def fgraf(f = x^2):
    show(plot(f,(x,-2,2)),figsize = (4,3))

Interact: please open in CoCalc

@interact
def fgraf(f=x^2, a=-3, b=3):
    show(plot(f,(x,a,b)),figsize = (4,3))

Interact: please open in CoCalc

@interact
def fgraf(f=('$f$', x^2), a=('Inferior', -3), b=('Superior', 3)):
    show(plot(f,(x,a,b)),figsize = (4,3))

Interact: please open in CoCalc

@interact
def fgraf(f=('$f$', x^2), a=('Inferior', -3), b=('Superior', (-2,4)), tamanho = ('Tamanho',(2,4))):
    show(plot(f,(x,a,b)),figsize = (tamanho,tamanho))

Interact: please open in CoCalc

@interact
def fgraf(f=input_box(x^2, width=20, label="$f$"), a=input_box(-3,width=20, label="$a$"), b=('Superior', (-2,4)), tamanho = ('Tamanho',(2,5))):
    show(plot(f,(x,a,b)),figsize = (tamanho,tamanho))

Interact: please open in CoCalc

@interact
def fgraf(f=input_box(x^2,width=20),color=color_selector('red'), zoom=range_slider(-3,3,default=(-3,3))):
    show(plot(f,(x,zoom[0], zoom[1]), color=color), figsize = (4,3))

Interact: please open in CoCalc

@interact
def fgraf(f=input_box(x^2,width=20),color=color_selector('red'),Preencher=True,zoom=range_slider(-3,3,default=(-3,3)),tamanho = ('Tamanho',(2,5))):
    show(plot(f,(x,zoom[0], zoom[1]), color=color,fill=Preencher), figsize = (tamanho,tamanho))

Interact: please open in CoCalc

def ftermSquare(n):
 return(1/n*sin(n*x*pi/3))

def ftermSawtooth(n):
 return(1/n*sin(n*x*pi/3))

def ftermParabola(n):
 return((-1)^n/n^2 * cos(n*x))

def fseriesSquare(n):
 return(4/pi*sum(ftermSquare(i) for i in range (1,2*n,2)))

def fseriesSawtooth(n):
 return(1/2-1/pi*sum(ftermSawtooth(i) for i in range (1,n)))

def fseriesParabola(n):
 return(pi^2/3 + 4*sum(ftermParabola(i) for i in range(1,n)))

@interact
def plotFourier(n=slider(1, 30,1,10,'Number of terms'),Function=['Dente de Serra','Onda Quadrada','Parabola']):
    if Function=='Dente de Serra':
     show(plot(fseriesSawtooth(n),(x,-6,6),figsize=(4,3)))
    if Function=='Onda Quadrada':
     show(plot(fseriesSquare(n),(x,-6,6),figsize=(4,3)))
    if Function=='Parabola':
     show(plot(fseriesParabola(n),(x,-6,6),figsize=(4,3)))

Interact: please open in CoCalc

Animação