Created
February 19, 2012 09:52
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cos(x) in Python
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| ''' | |
| cos(x) = 1-x^2/2!+x^4/4!-x^6/6!+..- | |
| ''' | |
| import math | |
| def fact(n): | |
| if n==0: | |
| return 1 | |
| else: | |
| return n*fact(n-1) | |
| def pow(x,y): | |
| p = 1 | |
| for i in range(1,y+1): | |
| p *= x | |
| return p | |
| def abs(x,y): | |
| if x > y: | |
| return x-y | |
| else: | |
| return y-x | |
| def cos(x): | |
| eps = 0.0001 | |
| n = 2 | |
| v1 = 1 | |
| v2 = v1 - pow(x,2)*1.0/fact(2) | |
| while abs(v1,v2) >= eps: | |
| v1 = v2 | |
| v2 += pow(-1,n)*pow(x,2*n)*1.0/fact(2*n) | |
| n = n + 1 | |
| return v2 | |
| print math.cos(5) |
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