import math

def cutsin(t, freq):
	
	tF = t * (freq - int(freq))
	ftF = int(tF)
			
	return 2*math.pi*(tF - ftF)
	
def normsin(t, freq):
	
	return math.sin(2*math.pi*freq*t)
	
	
freq = 9110.7204
t = 5*60*44100

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())