1 + 3

%%html

<p>Cette cellule <strong>contient du HTML</strong> !</p>

<p>Remarquez la <em>clef magique</em> <code>%%html</code>.</p>

a = 1
a

type(a)

a = "toto"
a

type(a)

a + 1

a.upper()

b = a.upper()
b

a

a = 1
 b = 2

a = 
2

a = "toto"

a == 'toto'

a[1]

type(a[1])

a = "tot
o"

a = """
Mignonne, allons voir si la rose
Qui ce matin avoit desclose
Sa robe de pourpre au Soleil,
"""

a

print a

"La reponse est %d" % 42

"La %s est %d" % ("question", 24)

a = 1

a == 1.0

a = 1000000
a * a * a * a * a * a

a**6

True == (not False)

True and False

True or False

a = ["a", "b", "c"]

a[1]

len(a)

a[2] = "d"
a

a[3]

a[3] = "e"

a.append("e")
a

" ~~=> ".join(a)

a = { "couleur": "rouge", "forme": "rond"}
a

len(a)

a["couleur"]

a["taille"] = "grand"
a

if 1 + 1 == 2 and 1 - 1 > 0:
    a = 10
    print "faux"
elif 3 + 4 == 7:
    a = 3
    print "yes"
else:
    a = 4
    print "no"
    
a

i = 0
while i < 10:
    print i
    i += 1

a = ["a", "b", "c"]

for x in a:
    print x

range(10)

for i in range(10):
    print i

def ma_fonction(x, y):
    c = 2*x
    return c + y

ma_fonction(2, 3)

def fct(x, y=3, z=10):
    return x + y + z

fct(2), fct(2, 4), fct(2, 4, 1), fct(2, z=3)

import numpy
from pylab import imshow, show
from timeit import default_timer as timer

%pylab inline

def mandel(x, y, max_iters):
  """
    Given the real and imaginary parts of a complex number,
    determine if it is a candidate for membership in the Mandelbrot
    set given a fixed number of iterations.
  """
  c = complex(x, y)
  z = 0.0j
  for i in range(max_iters):
    z = z*z + c
    if (z.real*z.real + z.imag*z.imag) >= 4:
      return i

  return max_iters



def create_fractal(min_x, max_x, min_y, max_y, image, iters):
  height = image.shape[0]
  width = image.shape[1]

  pixel_size_x = (max_x - min_x) / width
  pixel_size_y = (max_y - min_y) / height
    
  for x in range(width):
    real = min_x + x * pixel_size_x
    for y in range(height):
      imag = min_y + y * pixel_size_y
      color = mandel(real, imag, iters)
      image[y, x] = color

image = numpy.zeros((1024, 1536), dtype = numpy.uint8)
start = timer()
create_fractal(-2.0, 1.0, -1.0, 1.0, image, 20) 
dt = timer() - start

print "Mandelbrot created in %f s" % dt
imshow(image)
show()