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add overload ^ and ** for fractions

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Lafrite 2014-12-22 19:56:58 +01:00
parent 5cba9763e4
commit eabe3e9a8e
1 changed files with 105 additions and 60 deletions
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165
pymath/fraction.py
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@ -247,6 +247,48 @@ class Fraction(object):
return number / self return number / self
def __pow__(self, power):
""" overload **
>>> f = Fraction(3, 4)
>>> f**0
[1]
>>> f**1
[< Fraction 3 / 4>]
>>> f**3
[[3, 3, '^', 4, 3, '^', '/'], < Fraction 27 / 64>]
>>> f = Fraction(6, 4)
>>> f**3
[[6, 3, '^', 4, 3, '^', '/'], < Fraction 216 / 64>, [27, 8, '*', 8, 8, '*', '/'], < Fraction 27 / 8>]
"""
if not type(power) == int:
raise ValueError("Can't raise fraction to power {}".format(str(power)))
if power == 0:
return [1]
elif power == 1:
return [self]
else:
steps = [[self._num, power, op.pw, self._denom, power, op.pw, op.div]]
ans_frac = Fraction(self._num ** power, self._denom ** power)
steps.append(ans_frac)
steps += ans_frac.simplify()
return steps
def __xor__(self, power):
""" overload ^
>>> f = Fraction(3, 4)
>>> f^3
[[3, 3, '^', 4, 3, '^', '/'], < Fraction 27 / 64>]
>>> f = Fraction(6, 4)
>>> f^3
[[6, 3, '^', 4, 3, '^', '/'], < Fraction 216 / 64>, [27, 8, '*', 8, 8, '*', '/'], < Fraction 27 / 8>]
"""
return self.__pow__(power)
def __abs__(self): def __abs__(self):
return Fraction(abs(self._num), abs(self._denom)) return Fraction(abs(self._num), abs(self._denom))
@ -278,69 +320,72 @@ class Fraction(object):
if __name__ == '__main__': if __name__ == '__main__':
f = Fraction(1, 12) #f = Fraction(1, 12)
g = Fraction(1, 12) #g = Fraction(1, 12)
h = Fraction(1,-5) #h = Fraction(1,-5)
t = Fraction(10,3) #t = Fraction(10,3)
print("---------") #print("---------")
print("1 + ", str(h)) #print("1 + ", str(h))
for i in (1 + h): #for i in (1 + h):
print(i) # print(i)
print("---------") #print("---------")
print(str(f) , "+", str(t)) #print(str(f) , "+", str(t))
for i in (f + t): #for i in (f + t):
print(i) # print(i)
print("---------") #print("---------")
print(str(f) , "+", str(g)) #print(str(f) , "+", str(g))
for i in (f + g): #for i in (f + g):
print(i) # print(i)
print("---------") #print("---------")
print(str(f) , "-", str(g)) #print(str(f) , "-", str(g))
for i in (f - g): #for i in (f - g):
print(i) # print(i)
print("---------") #print("---------")
print(str(f) , "*", str(g)) #print(str(f) , "*", str(g))
for i in (f * g): #for i in (f * g):
print(i) # print(i)
print("---------") #print("---------")
print(str(h) , "+", str(t)) #print(str(h) , "+", str(t))
for i in (h + t): #for i in (h + t):
print(i) # print(i)
print("---------") #print("---------")
print(str(h) , "-", str(t)) #print(str(h) , "-", str(t))
for i in (h - t): #for i in (h - t):
print(i) # print(i)
print("---------") #print("---------")
print(str(h) , "*", str(t)) #print(str(h) , "*", str(t))
for i in (h * t): #for i in (h * t):
print(i) # print(i)
print("---------") #print("---------")
print("-", str(h) ) #print("-", str(h) )
for i in (-h): #for i in (-h):
print(i) # print(i)
print("---------") #print("---------")
print(str(h) , "/", str(t)) #print(str(h) , "/", str(t))
for i in (h / t): #for i in (h / t):
print(i) # print(i)
print("---------") #print("---------")
print(str(h) , "+", str(0)) #print(str(h) , "+", str(0))
for i in (h + 0): #for i in (h + 0):
print(i) # print(i)
print("---------") #print("---------")
print(str(h) , "*", str(1)) #print(str(h) , "*", str(1))
for i in (h * 1): #for i in (h * 1):
print(i) # print(i)
print("---------") #print("---------")
print(str(h) , "*", str(0)) #print(str(h) , "*", str(0))
for i in (h * 0): #for i in (h * 0):
print(i) # print(i)
print("---------") #print("---------")
print(str(h) , "*", str(4)) #print(str(h) , "*", str(4))
for i in (h * 4): #for i in (h * 4):
print(i) # print(i)
#print(f.simplify()) #print(f.simplify())
import doctest
doctest.testmod()
# ----------------------------- # -----------------------------
# Reglages pour 'vim' # Reglages pour 'vim'
# vim:set autoindent expandtab tabstop=4 shiftwidth=4: # vim:set autoindent expandtab tabstop=4 shiftwidth=4: