Testing Compatibility
[Linear Algebra library, Non-member C-style functions]

Collaboration diagram for Testing Compatibility:

Methods that test whether a pair or triple of linear algebraic objects can be combined mathematically. More...

Functions
template<typename T>
bool	LinearlyCompatible (const Vector< T > &v1, const Vector< T > &v2)
	Determines whether two vectors are linearly compatible, e.g. v1 = v2.
template<typename T>
bool	LinearlyCompatible (const Vector< T > &result, const Vector< T > &v1, const Vector< T > &v2)
	Determines whether three vectors are linearly compatible, e.g. result = v1 + v2.
template<typename T>
bool	LinearlyCompatible (const Matrix< T > &m1, const Matrix< T > &m2)
	Determines whether two matrices are linearly compatible, e.g. m1 = m2.
template<typename T>
bool	LinearlyCompatible (const Matrix< T > &result, const Matrix< T > &m1, const Matrix< T > &m2)
	Determines whether three matrices are linearly compatible, e.g. result = m1 + m2.
template<typename T>
bool	ProductCompatible (const Matrix< T > &m1, const Matrix< T > &m2)
	Determines whether two matrices are multiplicatively compatible, e.g. (m1 * m2).
template<typename T>
bool	ProductCompatible (const Matrix< T > &result, const Matrix< T > &m1, const Matrix< T > &m2)
	Determines whether three matrices are multiplicatively compatible, e.g. result = m1 * m2.
template<typename T>
bool	ProductCompatible (const Matrix< T > &m, const Vector< T > &v)
	Determines whether a matrix and a vector are multiplicatively compatible, e.g. (m * v).
template<typename T>
bool	ProductCompatible (const Vector< T > &v, const Matrix< T > &m)
	Determines whether a vector and a matrix are multiplicatively compatible, e.g. (v * m).
template<typename T>
bool	ProductCompatible (const Vector< T > &result, const Matrix< T > &m, const Vector< T > &v)
	Determines whether result = m * v is defined.
template<typename T>
bool	ProductCompatible (const Vector< T > &result, const Vector< T > &v, const Matrix< T > &m)
	Determines whether result = v * m is defined.
template<typename T>
bool	ProductCompatible (const Matrix< T > &result, const Vector< T > &v1, const Vector< T > &v2)
	Determines whether the outer product of two vectors is linearly compatible with a matrix, e.g. result = v x v.

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Detailed Description

Methods that test whether a pair or triple of linear algebraic objects can be combined mathematically.

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