Rational class
A number that can be expressed as a fraction of two integers, a numerator and a non-zero denominator.
This fraction is stored in its canonical form. The canonical form is the rational number expressed in a unique way as an irreducible fraction a/b, where a and b are coprime integers and b > 0.
Rational(2, 4)
corresponding to 2/4
will be created with its canonical
form 1/2
. That means Rational(2, 4).numerator
will be equal to 1
and
Rational(2, 4).denominator
equal to 2
.
- Implemented types
Constructors
Properties
- denominator → BigInt
-
The denominator of this rational number.
final
- hashCode → int
-
The hash code for this object.
no setteroverride
- inverse → Rational
-
Returns the Rational denominator/numerator.
no setter
- isInteger → bool
-
Returns
true
ifthis
is an integer.no setter - numerator → BigInt
-
The numerator of this rational number.
final
- runtimeType → Type
-
A representation of the runtime type of the object.
no setterinherited
- signum → int
-
The signum function value of
this
.no setter
Methods
-
abs(
) → Rational -
Returns the absolute value of
this
. -
ceil(
) → BigInt - Returns the least BigInt value that is no smaller than this Rational.
-
clamp(
Rational lowerLimit, Rational upperLimit) → Rational -
Clamps
this
to be in the rangelowerLimit
-upperLimit
. -
compareTo(
Rational other) → int -
Compares this object to another object.
override
-
floor(
) → BigInt - Returns the greatest BigInt value no greater than this Rational.
-
noSuchMethod(
Invocation invocation) → dynamic -
Invoked when a nonexistent method or property is accessed.
inherited
-
pow(
int exponent) → Rational -
Returns
this
to the power ofexponent
. -
remainder(
Rational other) → Rational -
Returns the remainder from dividing this Rational by
other
. -
round(
) → BigInt - Returns the BigInt value closest to this number.
-
toBigInt(
) → BigInt -
The BigInt obtained by discarding any fractional digits from
this
. -
toDouble(
) → double -
Returns
this
as a double. -
toString(
) → String -
A string representation of this object.
override
-
truncate(
) → BigInt -
The BigInt obtained by discarding any fractional digits from
this
.
Operators
-
operator %(
Rational other) → Rational - Euclidean modulo operator.
-
operator *(
Rational other) → Rational - Multiplication operator.
-
operator +(
Rational other) → Rational - Addition operator.
-
operator -(
Rational other) → Rational - Subtraction operator.
-
operator /(
Rational other) → Rational - Division operator.
-
operator <(
Rational other) → bool -
Whether this number is numerically smaller than
other
. -
operator <=(
Rational other) → bool -
Whether this number is numerically smaller than or equal to
other
. -
operator ==(
Object other) → bool -
The equality operator.
override
-
operator >(
Rational other) → bool -
Whether this number is numerically greater than
other
. -
operator >=(
Rational other) → bool -
Whether this number is numerically greater than or equal to
other
. -
operator unary-(
) → Rational - Returns the negative value of this rational.
-
operator ~/(
Rational other) → BigInt - Truncating division operator.