Main Overview

Class Rational

Class Rational: Rational numbers
Rational(p, q) Example: Rational(3,17)
Rational(n) Example: Rational(3)
Rational(s) Example: Rational("3/17")
For Rational objects the arithmetical operators +, -, *, / are defined.

Overview:

Constructor

Rational (p, q=1)

Operators

OperatorMeaning
abs(x)
x + yAddition
x / y a / b à a.__div__(b), if a is of type Rational b.__rdiv__(a), otherwise
x == y
float(x)
x // y
int(x)
long(x)
x * y a * b à a.__mul__(b), if a is of type Rational b.__rmul__(a), otherwise
x != y
-x -a à a.__neg__()
str(x)
x - y a - b à a.__sub__(b), if a is of type Rational b.__rsub__(a), otherwise
x / y

Object Methods

MethodMeaning
abs ()absolute value
copy ()independent copy ("clone") of r
isInteger ()
operators ()For documentation only
toFloat ()Conversion to floating point number
toInt ()Round to the nearest integer
toStr ()Representation as string

Constructor

Rational

Constructor

Usage: Rational(p, q=1)


Operators

abs(x)

absolute value

Usage: abs(x)


x + y

a.__add__(b)

Usage: x + y

Description:
Addition
Also operator notation: a + b
Instead of a = a + b you can write a += b.


x / y

exact Division

Usage: x / y

Description:
a / b à a.__div__(b), if a is of type Rational b.__rdiv__(a), otherwise


x == y

Usage: x == y


float(x)

Conversion to floating point number

Usage: float(x)


x // y

Usage: x // y


int(x)

Round to the nearest integer

Usage: int(x)


long(x)

Round to the nearest integer

Usage: long(x)


x * y

Multiplication:

Usage: x * y

Description:
a * b à a.__mul__(b), if a is of type Rational b.__rmul__(a), otherwise


x != y

Usage: x != y


-x

Unary operator -

Usage: -x

Description:
-a à a.__neg__()


str(x)

Object representation as string

Usage: str(x)

Description:


x - y

Subtraction:

Usage: x - y

Description:
a - b à a.__sub__(b), if a is of type Rational b.__rsub__(a), otherwise


x / y

Usage: x / y


Object Methods

abs

r.abs()

Usage: self.abs()

Description:
absolute value
Also as global function: abs(r)


copy

r.copy()

Usage: self.copy()

Description:
independent copy ("clone") of r


isInteger

Usage: self.isInteger()


operators

Rational.operators()

Usage: self.operators()

Description:
For documentation only
The following operators are defined in the class Rational:

Op.FunctionExamples
+Additiona + b; a += b
-Subtractiona - b; a -= b
*Multiplicationa * b; a *= b
/Divisiona / b; a /= b
-Unary minus-a
< > <= >=Comparision operators
This method is for documentation only. It has no effect.


toFloat

r.toFloat()

Usage: self.toFloat()

Description:
Conversion to floating point number
Also as global function: float(r)


toInt

r.toInt()

Usage: self.toInt()

Description:
Round to the nearest integer
Also as global function: int(r)


toStr

r.toStr()

Usage: self.toStr()

Description:
Representation as string
Also as global function: str(r)