Interface FieldElement<T>
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- Type Parameters:
T
- the type of the field elements
- All Known Subinterfaces:
RealFieldElement<T>
- All Known Implementing Classes:
BigReal
,DerivativeStructure
,Dfp
,DfpDec
,SparseGradient
public interface FieldElement<T>
Interface representing field elements.- Since:
- 2.0
- See Also:
Field
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Method Summary
All Methods Instance Methods Abstract Methods Modifier and Type Method Description T
add(T a)
Compute this + a.T
divide(T a)
Compute this ÷ a.Field<T>
getField()
Get theField
to which the instance belongs.T
multiply(int n)
Compute n × this.T
multiply(T a)
Compute this × a.T
negate()
Returns the additive inverse ofthis
element.T
reciprocal()
Returns the multiplicative inverse ofthis
element.T
subtract(T a)
Compute this - a.
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Method Detail
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add
T add(T a) throws NullArgumentException
Compute this + a.- Parameters:
a
- element to add- Returns:
- a new element representing this + a
- Throws:
NullArgumentException
- ifa
isnull
.
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subtract
T subtract(T a) throws NullArgumentException
Compute this - a.- Parameters:
a
- element to subtract- Returns:
- a new element representing this - a
- Throws:
NullArgumentException
- ifa
isnull
.
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multiply
T multiply(int n)
Compute n × this. Multiplication by an integer number is defined as the following sum:n × this = ∑i=1n this.
- Parameters:
n
- Number of timesthis
must be added to itself.- Returns:
- A new element representing n × this.
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multiply
T multiply(T a) throws NullArgumentException
Compute this × a.- Parameters:
a
- element to multiply- Returns:
- a new element representing this × a
- Throws:
NullArgumentException
- ifa
isnull
.
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divide
T divide(T a) throws NullArgumentException, MathArithmeticException
Compute this ÷ a.- Parameters:
a
- element to divide by- Returns:
- a new element representing this ÷ a
- Throws:
NullArgumentException
- ifa
isnull
.MathArithmeticException
- ifa
is zero
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reciprocal
T reciprocal() throws MathArithmeticException
Returns the multiplicative inverse ofthis
element.- Returns:
- the inverse of
this
. - Throws:
MathArithmeticException
- ifthis
is zero
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