Functions
template<class T >
T	AlignValue (size_t value, size_t alignValue=8)

template<typename T >
const T &	Clip (const T &n, const T &minValue, const T &maxValue)

kt_double	DegreesToRadians (kt_double degrees)

kt_bool	DoubleEqual (kt_double a, kt_double b)

template<typename T >
kt_bool	InRange (const T &value, const T &a, const T &b)

template<typename T >
kt_bool	IsUpTo (const T &value, const T &maximum)

template<>
kt_bool	IsUpTo< kt_int32u > (const kt_int32u &value, const kt_int32u &maximum)

template<typename T >
const T &	Maximum (const T &value1, const T &value2)

template<typename T >
const T &	Minimum (const T &value1, const T &value2)

kt_double	NormalizeAngle (kt_double angle)

kt_double	NormalizeAngleDifference (kt_double minuend, kt_double subtrahend)

kt_double	RadiansToDegrees (kt_double radians)

kt_double	Round (kt_double value)

template<typename T >
T	Square (T value)

Function Documentation

template<class T >

T karto::math::AlignValue	(	size_t	value,
		size_t	alignValue = `8`
	)

inline

Align a value to the alignValue. The alignValue should be the power of two (2, 4, 8, 16, 32 and so on)

Parameters

value
alignValue

Returns: aligned value

Definition at line 244 of file Math.h.

template<typename T >

const T& karto::math::Clip	(	const T &	n,
		const T &	minValue,
		const T &	maxValue
	)

inline

Clips a number to the specified minimum and maximum values.

Parameters

n	number to be clipped
minValue	minimum value
maxValue	maximum value

Returns: the clipped value

Definition at line 124 of file Math.h.

kt_double karto::math::DegreesToRadians ( kt_double degrees )

inline

Converts degrees into radians

Parameters

degrees

Returns: radian equivalent of degrees

Definition at line 56 of file Math.h.

kt_bool karto::math::DoubleEqual	(	kt_double	a,
		kt_double	b
	)

inline

Checks whether two numbers are equal within a certain tolerance.

Parameters

a
b

Returns: true if a and b differ by at most a certain tolerance.

Definition at line 135 of file Math.h.

template<typename T >

kt_bool karto::math::InRange	(	const T &	value,
		const T &	a,
		const T &	b
	)

inline

Checks whether value is in the range [a;b]

Parameters

value
a
b

Definition at line 172 of file Math.h.

template<typename T >

kt_bool karto::math::IsUpTo	(	const T &	value,
		const T &	maximum
	)

inline

Checks whether value is in the range [0;maximum)

Parameters

value
maximum

Definition at line 147 of file Math.h.

template<>

kt_bool karto::math::IsUpTo< kt_int32u >	(	const kt_int32u &	value,
		const kt_int32u &	maximum
	)

inline

Checks whether value is in the range [0;maximum) Specialized version for unsigned int (kt_int32u)

Parameters

value
maximum

Definition at line 159 of file Math.h.

template<typename T >

const T& karto::math::Maximum	(	const T &	value1,
		const T &	value2
	)

inline

Binary maximum function

Parameters

value1
value2

Returns: the greater of value1 and value2

Definition at line 111 of file Math.h.

template<typename T >

const T& karto::math::Minimum	(	const T &	value1,
		const T &	value2
	)

inline

Binary minimum function

Parameters

value1
value2

Returns: the lesser of value1 and value2

Definition at line 99 of file Math.h.

kt_double karto::math::NormalizeAngle ( kt_double angle )

inline

Normalizes angle to be in the range of [-pi, pi]

Parameters

angle to be normalized

Returns: normalized angle

Definition at line 182 of file Math.h.

kt_double karto::math::NormalizeAngleDifference	(	kt_double	minuend,
		kt_double	subtrahend
	)

inline

Returns an equivalent angle to the first parameter such that the difference when the second parameter is subtracted from this new value is an angle in the normalized range of [-pi, pi], i.e. abs(minuend - subtrahend) <= pi.

Parameters

minuend
subtrahend

Returns: normalized angle

Definition at line 221 of file Math.h.

kt_double karto::math::RadiansToDegrees ( kt_double radians )

inline

Converts radians into degrees

Parameters

radians

Returns: degree equivalent of radians

Definition at line 66 of file Math.h.

kt_double karto::math::Round ( kt_double value )

inline

Round function

Parameters

value

Returns: rounds value to the nearest whole number (as double)

Definition at line 87 of file Math.h.

template<typename T >

T karto::math::Square ( T value )

inline

Square function

Parameters

value

Returns: square of value

Definition at line 77 of file Math.h.

Functions

Function Documentation