CDPL::Math::QuaternionInverse< Q, T > Struct Template Reference

Per-component functor returning the multiplicative inverse \( \overline{e} / \|e\|^2 \) of a quaternion expression (n2 is the precomputed squared norm). More...

#include <Functional.hpp>

Inheritance diagram for CDPL::Math::QuaternionInverse< Q, T >:

Public Types
typedef Scalar2QuaternionBinaryFunctor< Q, T >::Argument2Type	Argument2Type
typedef Scalar2QuaternionBinaryFunctor< Q, T >::ResultType	ResultType
Public Types inherited from CDPL::Math::Scalar2QuaternionBinaryFunctor< Q, T >
typedef CommonType< typename Q::ValueType, T >::Type	ResultType
	The component result type (common type of the quaternion's element value type and the scalar). More...
typedef const T &	Argument2Type
	The second (scalar) argument type. More...

Static Public Member Functions
template<typename E >
static ResultType	applyC1 (const QuaternionExpression< E > &e, Argument2Type n2)
	Returns the C1 (real) component of the multiplicative inverse \( e^{-1} = \overline{e} / \|e\|^2 \). More...
template<typename E >
static ResultType	applyC2 (const QuaternionExpression< E > &e, Argument2Type n2)
	Returns the C2 component of the multiplicative inverse \( e^{-1} \). More...
template<typename E >
static ResultType	applyC3 (const QuaternionExpression< E > &e, Argument2Type n2)
	Returns the C3 component of the multiplicative inverse \( e^{-1} \). More...
template<typename E >
static ResultType	applyC4 (const QuaternionExpression< E > &e, Argument2Type n2)
	Returns the C4 component of the multiplicative inverse \( e^{-1} \). More...

Detailed Description

template<typename Q, typename T>
struct CDPL::Math::QuaternionInverse< Q, T >

Per-component functor returning the multiplicative inverse \( \overline{e} / \|e\|^2 \) of a quaternion expression (n2 is the precomputed squared norm).

Template Parameters

Q	The quaternion expression type.
T	The precomputed-norm scalar type.

Member Typedef Documentation

Argument2Type

template<typename Q , typename T >

typedef Scalar2QuaternionBinaryFunctor<Q, T>::Argument2Type CDPL::Math::QuaternionInverse< Q, T >::Argument2Type

ResultType

template<typename Q , typename T >

typedef Scalar2QuaternionBinaryFunctor<Q, T>::ResultType CDPL::Math::QuaternionInverse< Q, T >::ResultType

Member Function Documentation

applyC1()

template<typename Q , typename T >

template<typename E >

static ResultType CDPL::Math::QuaternionInverse< Q, T >::applyC1 ( const QuaternionExpression< E > &  e, Argument2Type  n2  )

inlinestatic

Returns the C1 (real) component of the multiplicative inverse \( e^{-1} = \overline{e} / \|e\|^2 \).

Template Parameters

E	The quaternion expression type.

Parameters

e	The quaternion expression.
n2	The precomputed squared norm \( \|e\|^2 \).

Returns

e.getC1() / n2.

applyC2()

template<typename Q , typename T >

template<typename E >

static ResultType CDPL::Math::QuaternionInverse< Q, T >::applyC2 ( const QuaternionExpression< E > &  e, Argument2Type  n2  )

inlinestatic

Returns the C2 component of the multiplicative inverse \( e^{-1} \).

Template Parameters

E	The quaternion expression type.

Parameters

e	The quaternion expression.
n2	The precomputed squared norm \( \|e\|^2 \).

Returns

-e.getC2() / n2.

applyC3()

template<typename Q , typename T >

template<typename E >

static ResultType CDPL::Math::QuaternionInverse< Q, T >::applyC3 ( const QuaternionExpression< E > &  e, Argument2Type  n2  )

inlinestatic

Returns the C3 component of the multiplicative inverse \( e^{-1} \).

Template Parameters

E	The quaternion expression type.

Parameters

e	The quaternion expression.
n2	The precomputed squared norm \( \|e\|^2 \).

Returns

-e.getC3() / n2.

applyC4()

template<typename Q , typename T >

template<typename E >

static ResultType CDPL::Math::QuaternionInverse< Q, T >::applyC4 ( const QuaternionExpression< E > &  e, Argument2Type  n2  )

inlinestatic

Returns the C4 component of the multiplicative inverse \( e^{-1} \).

Template Parameters

E	The quaternion expression type.

Parameters

e	The quaternion expression.
n2	The precomputed squared norm \( \|e\|^2 \).

Returns

-e.getC4() / n2.

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

• Functional.hpp