Foam::vectorTools Namespace Reference

Collection of functions for testing relationships between two vectors. More...

Functions
template<class T >
bool	areParallel (const Vector< T > &a, const Vector< T > &b, const T &tolerance=SMALL)
	Test if a and b are parallel: a^b = 0. More...
template<class T >
bool	areOrthogonal (const Vector< T > &a, const Vector< T > &b, const T &tolerance=SMALL)
	Test if a and b are orthogonal: a.b = 0. More...
template<class T >
bool	areAcute (const Vector< T > &a, const Vector< T > &b)
	Test if angle between a and b is acute: a.b > 0. More...
template<class T >
bool	areObtuse (const Vector< T > &a, const Vector< T > &b)
	Test if angle between a and b is obtuse: a.b < 0. More...
template<class T >
T	cosPhi (const Vector< T > &a, const Vector< T > &b, const T &tolerance=SMALL)
	Calculate angle between a and b in radians. More...
template<class T >
T	radAngleBetween (const Vector< T > &a, const Vector< T > &b, const T &tolerance=SMALL)
	Calculate angle between a and b in radians. More...
template<class T >
T	degAngleBetween (const Vector< T > &a, const Vector< T > &b, const T &tolerance=SMALL)
	Calculate angle between a and b in degrees. More...

Detailed Description

Collection of functions for testing relationships between two vectors.

Function Documentation

areParallel()

bool areParallel	(	const Vector< T > &	a,
		const Vector< T > &	b,
		const T &	tolerance = SMALL
	)

Test if a and b are parallel: a^b = 0.

Uses the cross product, so the tolerance is proportional to the sine of the angle between a and b in radians

Definition at line 55 of file vectorTools.H.

References b, and Foam::mag().

Referenced by indexedCell< Gt, Cb >::potentialCoplanarCell().

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areOrthogonal()

bool areOrthogonal	(	const Vector< T > &	a,
		const Vector< T > &	b,
		const T &	tolerance = SMALL
	)

Test if a and b are orthogonal: a.b = 0.

Uses the dot product, so the tolerance is proportional to the cosine of the angle between a and b in radians

Definition at line 72 of file vectorTools.H.

References b, and Foam::mag().

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areAcute()

bool areAcute	(	const Vector< T > &	a,
		const Vector< T > &	b
	)

Test if angle between a and b is acute: a.b > 0.

Definition at line 84 of file vectorTools.H.

References b.

areObtuse()

bool areObtuse	(	const Vector< T > &	a,
		const Vector< T > &	b
	)

Test if angle between a and b is obtuse: a.b < 0.

Definition at line 95 of file vectorTools.H.

References b.

cosPhi()

T cosPhi	(	const Vector< T > &	a,
		const Vector< T > &	b,
		const T &	tolerance = SMALL
	)

Calculate angle between a and b in radians.

Definition at line 106 of file vectorTools.H.

References b, cosPhi(), Foam::mag(), Foam::max(), and Foam::min().

Referenced by cosPhi(), and radAngleBetween().

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radAngleBetween()

T radAngleBetween	(	const Vector< T > &	a,
		const Vector< T > &	b,
		const T &	tolerance = SMALL
	)

Calculate angle between a and b in radians.

Definition at line 121 of file vectorTools.H.

References Foam::acos(), b, cosPhi(), Foam::mag(), Foam::max(), and Foam::min().

Referenced by degAngleBetween().

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degAngleBetween()

T degAngleBetween	(	const Vector< T > &	a,
		const Vector< T > &	b,
		const T &	tolerance = SMALL
	)

Calculate angle between a and b in degrees.

Definition at line 136 of file vectorTools.H.

References b, radAngleBetween(), and Foam::radToDeg().

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