from ipywidgets import StaticInteract, RangeWidget, RadioWidget

import numpy as np
import matplotlib.pyplot as plt
%matplotlib inline

# here we define the function which depends on variables.
# one can define functions with as many variables as desired

var = 3

def f(x,a,var):
    return np.sinc((x+a)/var)**2 + np.sinc((x-a)/var)**2

# this is the routine which calls the function f(x,var)
# and plots the variation with respect to var

def plot(a):
    fig, ax = plt.subplots(figsize=(4, 3),
                           subplot_kw={'axisbg':'#EEEEEE',
                                       'axisbelow':True})
    ax.grid(color='w', linewidth=2, linestyle='solid')
    x = np.linspace(-2, 2, 201)
    ax.plot(x, f(x,a,b,var), lw=5, alpha=0.4)
    #ax.set_xlim(-50, 50)
    #ax.set_ylim(-0.1, 1.1)
    #ax.legend(loc='upper right')
    return fig

# here we look at the function's dependence on the value of var.
# we can add any number of variables var1, var2 in the same way.
# the syntax in the RangeWidget is (start, end, increment)

StaticInteract(plot,a=RangeWidget(0, 1, 0.1))

from ipywidgets import StaticInteract, RangeWidget
import matplotlib.pyplot as plt
%matplotlib inline
import numpy as np

def plot(a):
    fig, ax = plt.subplots(figsize=(4,3),subplot_kw={'axisbg':'#EEEEEE','axisbelow':True})
    ax.grid(color='w',linewidth=2,linestyle=0.4)
    x = np.linspace(-1,1,101)
    ax.plot(x,np.sinc(x/a)**2,lw=5,alpha=0.4)
    return fig

StaticInteract(plot,a=RangeWidget(1,5,1))

from ipywidgets import StaticInteract, RangeWidget, RadioWidget

import numpy as np
import matplotlib.pyplot as plt
%matplotlib inline

#var = 1

def f(x,a,b):
    return np.sinc(x+a)**2 + np.sinc(x+b)**2

def plot(a,b):
    fig, ax = plt.subplots(figsize=(4, 3),subplot_kw={'axisbg':'#EEEEEE','axisbelow':True})
    ax.grid(color='w', linewidth=2, linestyle='solid')
    x = np.linspace(-2, 2, 201)
    ax.plot(x, f(x,a,b), lw=5, alpha=0.4)
    return fig

StaticInteract(plot,a=RangeWidget(0, 10, 1),b=RangeWidget(0, 10, 1))

from ipywidgets import StaticInteract, RangeWidget, RadioWidget

import numpy as np
import matplotlib.pyplot as plt
%matplotlib inline

var = 1

def plot(a):
    fig, ax = plt.subplots(figsize=(4, 3),subplot_kw={'axisbg':'#EEEEEE','axisbelow':True})
    ax.grid(color='w', linewidth=2, linestyle='solid')
    x = np.linspace(-2, 2, 201)
    y = np.sinc((x+a)/var)**2 + np.sinc((x-a)/var)**2
    ax.plot(x, y, lw=5, alpha=0.4)
    return fig

StaticInteract(plot,a=RangeWidget(0, 2, 0.1))

from ipywidgets import StaticInteract, RangeWidget, RadioWidget

import numpy as np
import matplotlib.pyplot as plt
%matplotlib inline

var = 5

def plot(a):
    fig, ax = plt.subplots(figsize=(4, 3),subplot_kw={'axisbg':'#EEEEEE','axisbelow':True})
    #ax.grid(color='w', linewidth=2, linestyle='solid')
    #x = np.linspace(-2, 2, 201)
    image = np.zeros([10,10])
    for i in xrange(len(image)):
        for j in xrange(len(image)):
            image[i,j] = (np.sinc((i-4.5-a)/var)**2)*(np.sinc((j-4.5)/var)**2) + (np.sinc((i-4.5+a)/var)**2)*(np.sinc((j-4.5)/var)**2)
#    y = np.sinc((x+a)/var)**2 + np.sinc((x-a)/var)**2
#    ax.plot(x, y, lw=5, alpha=0.4)
    ax.imshow(image)
    return fig

StaticInteract(plot,a=RangeWidget(1, 5, 1))

var = 10
a = 0
image = np.zeros([10,10])
for i in xrange(len(image)):
    for j in xrange(len(image)):
        image[i,j] = (np.sinc((i-4.5-a)/var)**2)*(np.sinc((j-4.5)/var)**2) + (np.sinc((i-4.5+a)/var)**2)*(np.sinc((j-4.5)/var)**2)

plt.imshow(image)

from ipywidgets import StaticInteract, RangeWidget, RadioWidget

import numpy as np
import matplotlib.pyplot as plt
%matplotlib inline

#var = 1

def f(x,var):
    return np.sinc(x-var)**2

def plot(var):
    fig, ax = plt.subplots(figsize=(4, 3),subplot_kw={'axisbg':'#EEEEEE','axisbelow':True})
    ax.grid(color='w', linewidth=2, linestyle='solid')
    x = np.linspace(-2, 2, 201)
    ax.plot(x, f(x,var), lw=5, alpha=0.4)
    return fig

StaticInteract(plot,var=RangeWidget(1, 10, 1))

from ipywidgets import StaticInteract, RangeWidget, RadioWidget

import numpy as np
import matplotlib.pyplot as plt
%matplotlib inline

# here we define the function which depends on variables.
# one can define functions with as many variables as desired

var = 2

def f(x,a,var):
    return np.sinc((x-a)/var)**2 + np.sinc((x+a)/var)**2

# this is the routine which calls the function f(x,var)
# and plots the variation with respect to var

def plot(a):
    fig, ax = plt.subplots(figsize=(4, 3),
                           subplot_kw={'axisbg':'#EEEEEE',
                                       'axisbelow':True})
    ax.grid(color='w', linewidth=2, linestyle='solid')
    x = np.linspace(-1, 1, 201)
    ax.plot(x, f(x,var1,var2), lw=5, alpha=0.4)
    #ax.set_xlim(-200, 200)
    #ax.set_ylim(-0.1, 1.1)
    #ax.legend(loc='upper right')
    return fig

# here we look at the function's dependence on the value of var.
# we can add any number of variables var1, var2 in the same way.
# the syntax in the RangeWidget is (start, end, increment)

StaticInteract(plot,a=RangeWidget(0.1, 1, 0.1))