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 Foam::vectorTools::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 54 of file vectorTools.H.

References areOrthogonal(), and Foam::mag().

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

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◆ areOrthogonal()

bool Foam::vectorTools::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 71 of file vectorTools.H.

References areAcute(), and Foam::mag().

Referenced by areParallel().

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◆ areAcute()

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

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

Definition at line 83 of file vectorTools.H.

References areObtuse().

Referenced by areOrthogonal().

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◆ areObtuse()

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

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

Definition at line 94 of file vectorTools.H.

References cosPhi(), and Foam::T().

Referenced by areAcute().

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◆ cosPhi()

T Foam::vectorTools::cosPhi ( const Vector< T > &  a,
const Vector< T > &  b,
const T tolerance = small 
)

Calculate angle between a and b in radians.

Definition at line 105 of file vectorTools.H.

References Foam::constant::physicoChemical::b, Foam::mag(), Foam::max(), Foam::min(), radAngleBetween(), and Foam::T().

Referenced by areObtuse(), Foam::diff(), radAngleBetween(), and radiativeIntensityRay::radiativeIntensityRay().

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◆ radAngleBetween()

T Foam::vectorTools::radAngleBetween ( const Vector< T > &  a,
const Vector< T > &  b,
const T tolerance = small 
)

Calculate angle between a and b in radians.

Definition at line 120 of file vectorTools.H.

References Foam::acos(), Foam::constant::physicoChemical::b, cosPhi(), degAngleBetween(), Foam::mag(), Foam::max(), Foam::min(), and Foam::T().

Referenced by cosPhi(), and degAngleBetween().

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◆ degAngleBetween()

T Foam::vectorTools::degAngleBetween ( const Vector< T > &  a,
const Vector< T > &  b,
const T tolerance = small 
)

Calculate angle between a and b in degrees.

Definition at line 135 of file vectorTools.H.

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

Referenced by radAngleBetween().

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