Point: Mathematical Functions

Functions
template<int N, typename T >
T	computeDotProduct (const ads::FixedArray< N, T > &x, const ads::FixedArray< N, T > &y)
	Return the dot product of x and y.
template<typename T >
ads::FixedArray< 3, T >	computeCrossProduct (const ads::FixedArray< 3, T > &x, const ads::FixedArray< 3, T > &y)
	Return the cross product of x and y.
template<typename T >
void	computeCrossProduct (const ads::FixedArray< 3, T > &x, const ads::FixedArray< 3, T > &y, ads::FixedArray< 3, T > *result)
	Compute the cross product of x and y.
template<typename T >
T	computeTripleProduct (const ads::FixedArray< 3, T > &a, const ads::FixedArray< 3, T > &b, const ads::FixedArray< 3, T > &c)
	The scalar triple product of three vectors: .
template<typename T >
T	computeDiscriminant (const ads::FixedArray< 2, T > &p, const ads::FixedArray< 2, T > &q)
	Return the discriminant of the vectors.
template<typename T >
void	computeAnOrthogonalVector (const ads::FixedArray< 3, T > &vector, ads::FixedArray< 3, T > *orthogonal)
	Compute an orthogonal vector.

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Detailed Description

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Function Documentation

template<typename T >

void computeCrossProduct	(	const ads::FixedArray< 3, T > &	x,
		const ads::FixedArray< 3, T > &	y,
		ads::FixedArray< 3, T > *	result
	)			[inline]

Compute the cross product of x and y.

This exists as an optimization of geom::cross(). With this function there is no need to construct an ads::FixedArray.

template<int N, typename T >

T computeDotProduct	(	const ads::FixedArray< N, T > &	x,
		const ads::FixedArray< N, T > &	y
	)			[inline]

Return the dot product of x and y.

This has specializations for 1, 2 and 3-D.

Referenced by ComplexWithFreeVertexOnManifold< QF, N, 2, _Manifold, T >::computeGradientOfContent(), ComplexWithFreeVertexOnManifold< QF, N, 1, _Manifold, T >::computeGradientOfContent(), ComplexWithFreeVertexOnManifold< QF, N, 2, _Manifold, T >::computeGradientOfNorm2(), ComplexWithFreeVertexOnManifold< QF, N, 1, _Manifold, T >::computeGradientOfNorm2(), ComplexWithFreeVertexOnManifold< QF, N, 2, _Manifold, T >::computeGradientOfNorm2Modified(), ComplexWithFreeVertexOnManifold< QF, N, 1, _Manifold, T >::computeGradientOfNorm2Modified(), Line_2< T >::computeSignedDistance(), Line_2< T >::computeSignedDistanceAndClosestPoint(), ISS_SD_CloserPointDirection< ISS >::operator()(), and ISS_SD_ClosestPointDirection< ISS >::operator()().