Native Ijulia notebook example¶

Please count about 20 seconds to have Julia Kernel 0.3.x started, before launching the cell First use time, you may have to relaunch Julia kernel 5 times until it stops its 'timeout' errors

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# Julia using matplotlib 
using PyPlot
x = linspace(0, 2*pi, 1000); # use the julia linspace
y = sin(3 * x + 4 * cos(2 * x)); # use the numpy cosine and julia sine
subplots(figsize=(3,3))
plot(x, y, color="red", linewidth=2.0, linestyle="--")
ylabel("the y axis")
xlabel("the x axis")
title("a sinusoidally-modulated sinusoid")

No description has been provided for this image

Out[3]:

PyObject <matplotlib.text.Text object at 0x000000001236C780>

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# Julia using matplotlib and numpy (and whatever you want)
using PyPlot
using PyCall
@pyimport matplotlib.pyplot as plt
@pyimport numpy as np
# Note how we mix numpy and julia:
t = linspace(0, 2*pi, 1000); # use the julia linspace
s = sin(3 * t + 4 * np.cos(2 * t)); # use the numpy cosine and julia sine

fig = plt.gcf()  # **** WATCH THIS VARIABLE ****
plt.subplots(figsize=(3,3))
plt.plot(t, s, color="red", linewidth=2.0, linestyle="--")

Figure(PyObject <matplotlib.figure.Figure object at 0x00000000123633C8>)

Out[4]:

1-element Array{Any,1}:
 PyObject <matplotlib.lines.Line2D object at 0x00000000123F32E8>

In [5]:

#MANDEL Mandelbrot set.
using PyPlot

mc = 301

x = linspace(-2.1, 0.6, mc)'
y = linspace(-1.1, 1.1, mc)
C = complex(repmat(x, mc), repmat(y, 1, mc))

Z_max = 1e6
it_max = 50
Z = C

for k in 1:it_max
    Z = Z .^ 2 + C
end
subplots(figsize=(3,3))

contourf(x, y, (abs(Z) .< Z_max))
title("Figure 1.7  Mandelbrot Set")

Out[5]:

PyObject <matplotlib.text.Text object at 0x000000001240FA90>

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#list of current Julia Packages: you can add more via Pkg.add("NameOfPackage")
Pkg.status()

6 required packages:
 - IJulia                        0.1.16
 - Interact                      0.1.6
 - PyCall                        0.7.3
 - PyPlot                        1.5.1
 - SymPy                         0.2.23
 - WinRPM                        0.1.6
19 additional packages:
 - BinDeps                       0.3.7
 - Color                         0.4.0
 - Compat                        0.2.12
 - DataStructures                0.3.5
 - Dates                         0.3.2
 - Docile                        0.4.3
 - FixedPointNumbers             0.0.6
 - Graphics                      0.1.0
 - JSON                          0.4.0
 - LaTeXStrings                  0.1.2
 - LibExpat                      0.0.6
 - Nettle                        0.1.7
 - REPLCompletions               0.0.3
 - Reactive                      0.1.10
 - Requires                      0.1.1
 - SHA                           0.0.3
 - URIParser                     0.0.3
 - ZMQ                           0.1.16
 - Zlib                          0.1.7

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