from time import time
from math import sin

cdef double first_time = 0

def timeit(f, label):
    global first_time
    t = time()
    f(1.0, 2.0, 10**7)
    cdef double elapsed = time() - t
    if first_time == 0:
        first_time = elapsed
    print label, elapsed, (100*elapsed/first_time), '% or', first_time/elapsed, 'x'

# Pure Python

py_funcs = {'sin': sin}
py_funcs.update(__builtins__.__dict__)
exec """
def f(x):
      return x**2-x

def integrate_f(a, b, N):
      s = 0
      dx = (b-a)/N
      for i in range(N):
          s += f(a+i*dx)
      return s * dx

""" in py_funcs
timeit(py_funcs['integrate_f'], "Python")

# Just compiled

def f0(x):
      return x**2-x

def integrate_f0(a, b, N):
      s = 0
      dx = (b-a)/N
      for i in range(N):
          s += f0(a+i*dx)
      return s * dx

timeit(integrate_f0, "Cython")



# Typed vars

def f1(double x):
    return x**2-x

def integrate_f1(double a, double b, int N):
    cdef int i
    cdef double s, dx
    s = 0
    dx = (b-a)/N
    for i in range(N):
        s += f1(a+i*dx)
    return s * dx

timeit(integrate_f1, "Typed vars")



# Typed func

cdef double f2(double x) except? -2:
    return x**2-x

def integrate_f2(double a, double b, int N):
    cdef int i
    cdef double s, dx
    s = 0
    dx = (b-a)/N
    for i in range(N):
        s += f2(a+i*dx)
    return s * dx
    
timeit(integrate_f2, "Typed func")