_01a_fracao.Fracao Class Reference

A simple class for creating fraction objects (rational numbers). More...

Public Member Functions
def	__init__ (self, num=1, den=1)
	Constructor. More...
def	__eq__ (self, f)
	Operator ==. More...
def	__add__ (self, f)
	Operator +. More...
def	__radd__ (self, f)
	Operador right side addition. More...
def	__iadd__ (self, f)
	Operator +=. More...
def	__mul__ (self, f)
	Operator *. More...
def	__rmul__ (self, f)
	Operador right side multiplication. More...
def	__div__ (self, f)
	Operator /. More...
def	__truediv__ (self, f)
	Operator /. More...
def	__floordiv__ (self, f)
	Operator //. More...
def	__rdiv__ (self, f)
	Operador right side integer division (python 2). More...
def	__rtruediv__ (self, f)
	Operador right side float division (python 3). More...
def	__rfloordiv__ (self, f)
	Operador right side integer division. More...
def	__sub__ (self, f)
	Operator -. More...
def	__rsub__ (self, f)
	Operador right side subtraction. More...
def	__neg__ (self)
	Operator -. More...
def	__str__ (self)
	Controls how a fraction is printed. More...
def	simplifica (self)
	Simplifies this fraction, by dividing either the numerator or the denominator by its gcd. More...

Public Attributes
	num
	Numerator. More...
	den
	Denominator. More...

Detailed Description

A simple class for creating fraction objects (rational numbers).

Constructor & Destructor Documentation

__init__()

def _01a_fracao.Fracao.__init__	(		self,
			num = 1,
			den = 1
	)

Constructor.

Parameters

num	numerator.
den	denominator

Constructor

Member Function Documentation

__add__()

def _01a_fracao.Fracao.__add__	(		self,
			f
	)

Operator +.

References _01a_fracao.Fracao.den, and _01a_fracao.Fracao.num.

Referenced by _01c_vector.vector.__sub__(), and _01f_vector.vector.__sub__().

__div__()

def _01a_fracao.Fracao.__div__	(		self,
			f
	)

Operator /.

Returns

self / f when future.division is not in effect.

__eq__()

def _01a_fracao.Fracao.__eq__	(		self,
			f
	)

Operator ==.

References _01a_fracao.Fracao.simplifica().

__floordiv__()

def _01a_fracao.Fracao.__floordiv__	(		self,
			f
	)

Operator //.

Returns

self // f.

References _01a_fracao.Fracao.den, and _01a_fracao.Fracao.num.

__iadd__()

def _01a_fracao.Fracao.__iadd__	(		self,
			f
	)

Operator +=.

References _01a_fracao.Fracao.den, _01a_fracao.Fracao.num, and _01a_fracao.Fracao.simplifica().

__mul__()

def _01a_fracao.Fracao.__mul__	(		self,
			f
	)

Operator *.

References _01a_fracao.Fracao.den, and _01a_fracao.Fracao.num.

Referenced by _01c_vector.vector.__truediv__(), and _01f_vector.vector.__truediv__().

__neg__()

def _01a_fracao.Fracao.__neg__

(

self

)

Operator -.

References _01a_fracao.Fracao.den, and _01a_fracao.Fracao.num.

__radd__()

def _01a_fracao.Fracao.__radd__	(		self,
			f
	)

Operador right side addition.

This method is only called if the left object does not have an add method, or that method does not know how to add the two objects (which it flags by returning NotImplemented).

__rdiv__()

def _01a_fracao.Fracao.__rdiv__	(		self,
			f
	)

Operador right side integer division (python 2).

This method is only called if the left object does not have a div method, or that method does not know how to add the two objects (which it flags by returning NotImplemented).

References _01a_fracao.Fracao.__rfloordiv__().

__rfloordiv__()

def _01a_fracao.Fracao.__rfloordiv__	(		self,
			f
	)

Operador right side integer division.

This method is only called if the left object does not have a floordiv method, or that method does not know how to add the two objects (which it flags by returning NotImplemented).

References _01a_fracao.Fracao.den, and _01a_fracao.Fracao.num.

Referenced by _01a_fracao.Fracao.__rdiv__(), and _01a_fracao.Fracao.__rtruediv__().

__rmul__()

def _01a_fracao.Fracao.__rmul__	(		self,
			f
	)

Operador right side multiplication.

This method is only called if the left object does not have a mul method, or that method does not know how to add the two objects (which it flags by returning NotImplemented).

__rsub__()

def _01a_fracao.Fracao.__rsub__	(		self,
			f
	)

Operador right side subtraction.

This method is only called if the left object does not have a sub method, or that method does not know how to add the two objects (which it flags by returning NotImplemented).

__rtruediv__()

def _01a_fracao.Fracao.__rtruediv__	(		self,
			f
	)

Operador right side float division (python 3).

This method is only called if the left object does not have a truediv method, or that method does not know how to add the two objects (which it flags by returning NotImplemented).

References _01a_fracao.Fracao.__rfloordiv__().

__str__()

def _01a_fracao.Fracao.__str__

(

self

)

Controls how a fraction is printed.

Returns

a string: numerator/denominator, or only the numerator, if the denominator is 1, after simplification, or 0, if the numerator is null.

References _01a_fracao.Fracao.den, and _01a_fracao.Fracao.num.

__sub__()

def _01a_fracao.Fracao.__sub__	(		self,
			f
	)

Operator -.

__truediv__()

def _01a_fracao.Fracao.__truediv__	(		self,
			f
	)

Operator /.

Returns

self / f when future.division is in effect.

simplifica()

def _01a_fracao.Fracao.simplifica

(

self

)

Simplifies this fraction, by dividing either the numerator or the denominator by its gcd.

References _01a_fracao.Fracao.den, _01a_fracao.mdc(), and _01a_fracao.Fracao.num.

Referenced by _01a_fracao.Fracao.__eq__(), and _01a_fracao.Fracao.__iadd__().

Member Data Documentation

den

_01a_fracao.Fracao.den

Denominator.

Referenced by _01a_fracao.Fracao.__add__(), _01a_fracao.Fracao.__floordiv__(), _01a_fracao.Fracao.__iadd__(), _01a_fracao.Fracao.__mul__(), _01a_fracao.Fracao.__neg__(), _01a_fracao.Fracao.__rfloordiv__(), _01a_fracao.Fracao.__str__(), and _01a_fracao.Fracao.simplifica().

num

_01a_fracao.Fracao.num

Numerator.

Referenced by _01a_fracao.Fracao.__add__(), _01a_fracao.Fracao.__floordiv__(), _01a_fracao.Fracao.__iadd__(), _01a_fracao.Fracao.__mul__(), _01a_fracao.Fracao.__neg__(), _01a_fracao.Fracao.__rfloordiv__(), _01a_fracao.Fracao.__str__(), and _01a_fracao.Fracao.simplifica().

---

The documentation for this class was generated from the following file:

• _01a_fracao.py