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))
<ipywidgets.interact.StaticInteract at 0xb14ab58c>
Caching the list of root modules, please wait! (This will only be done once - type '%rehashx' to reset cache!)
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))
<ipywidgets.interact.StaticInteract at 0xb136cdcc>
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))
/usr/local/lib/python2.7/dist-packages/matplotlib/pyplot.py:423: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_num_figures`). max_open_warning, RuntimeWarning)
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)
<matplotlib.image.AxesImage at 0xb14f524c>
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))
<ipywidgets.interact.StaticInteract at 0xb1390c6c>