import math

def cutsin(t, freq):
	
	tF = t * freq
	ftF = int(t * freq)
			
	return math.sin(2*math.pi*(tF - ftF))
	
def normsin(t, freq):
	
	return math.sin(2*math.pi*freq*t)
	
def cs(x):
	
	return math.sin(2*math.pi*(x - int(x)))
	
def s(x):
	
	return math.sin(2*math.pi*x)
	
	
print(cs(787876879))
print(s(787876879))
4/0
freq = 100
t = 7768.878676

print(normsin(t, freq))
print(cutsin(t, freq))


print(t - int(t*freq)/float(freq))
print(f'F     = {freq}')
print(f'TF    = {t*freq}')
print(f'fTF   = {int(t*freq)}')
print(f'fTF/F = {int(t*freq)/float(freq)}')
"""

import cProfile

def dvd():
	for i in range(0,1000000):
		normsin(t, freq)
		
def snn():
	for i in range(0,1000000):
		cutsin(t, freq)
	

cProfile.runctx("dvd()", globals(), locals())
cProfile.runctx("snn()", globals(), locals())

"""