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74 lines
1.3 KiB
Python
Executable File
74 lines
1.3 KiB
Python
Executable File
# Complex numbers
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from math import sqrt
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def complex(re, im):
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return Complex().init(re, im)
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class Complex:
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def init(self, re, im):
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self.re = float(re)
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self.im = float(im)
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return self
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def __repr__(self):
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return 'complex' + `self.re, self.im`
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def __cmp__(a, b):
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a = a.__abs__()
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b = b.__abs__()
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return (a > b) - (a < b)
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def __float__(self):
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if self.im:
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raise ValueError, 'cannot convert complex to float'
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return float(self.re)
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def __long__(self):
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return long(float(self))
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def __int__(self):
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return int(float(self))
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def __abs__(self):
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# XXX overflow?
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return sqrt(self.re*self.re + self.im*self.im)
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def __add__(a, b):
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return complex(a.re + b.re, a.im + b.im)
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def __sub__(a, b):
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return complex(a.re - b.re, a.im - b.im)
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def __mul__(a, b):
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return complex(a.re*b.re - a.im*b.im, a.re*b.im + a.im*b.re)
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def __div__(a, b):
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q = (b.re*b.re + b.im*b.im)
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re = (a.re*b.re + a.im*b.im) / q
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im = (a.im*b.re - b.im*a.re) / q
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return complex(re, im)
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def __neg__(self):
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return complex(-self.re, -self.im)
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def test():
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a = complex(2, 0)
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b = complex(3, 4)
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print a, b
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print a+b, a-b, a*b, a/b
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print b+a, b-a, b*a, b/a
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i = complex(0, 1)
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print i, i*i, i*i*i, i*i*i*i
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j = complex(1, 1)
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print j, j*j, j*j*j, j*j*j*j
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print abs(j), abs(j*j), abs(j*j*j), abs(j*j*j*j)
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print i/-i
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test()
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