Hi

I needed a function f(x) which looks like sinus(2pi.x) but faster.
I wrote this one:

--------------------------
from math import floor

def sinusLite(x):
   x = x - floor(x)
   return -16*(x-0.25)**2 + 1 if x < 0.5 else 16*(x-0.75)**2 - 1
--------------------------

then i used module timeit to compare its execution time with math.sin()
I put the sinusLite() function in a module named test.

then:

import timeit
t1 = timeit.Timer("y=test.sinusLite(0.7)", "import test")
t2 = timeit.Timer("y=math.sin(4.39)", "import math")        ## 4.39 = 2*pi*0.7

 t1.repeat(3, 1000000)
[1.9994622221539373, 1.9020670224846867, 1.9191573230675942]

t2.repeat(3, 1000000)
[0.2913627989031511, 0.2755561810230347, 0.2755186762562971]

so the genuine sinus is much faster than my so simple sinLite() !
Amazing isnt it ? Do you have an explanation ?

Thx
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