TC::Math Namespace Reference

TC::Math is intended to provide methods to perform common math operations. More...

Namespaces
namespace	Factory
	Factory for creating TC::Math objects.
Classes
class	Box
	Class defining a box with two coordinates The minimum and maximum pos in all components and the. More...
class	Checksum
	Class defining the interface for calculating checksums With the method Append data can be added to the checksum calculation. More...
class	Coord2D
	Class for handling 2D values with implementation of all common operators needed. More...
class	Coord3D
	Class for handling 3D values With implementation of all common coordinate or vector operators needed. More...
class	Coord4D
	Class for handling 3D values With implementation of all common coordinate or vector operators needed. More...
Typedefs
typedef SharedPtr< Checksum >	ChecksumPtr
	Shared pointer of an checksum object.
Functions
template<class T >
const Coord2D< T >	operator* (const Coord2D< T > &v, const T &vIn)
template<class T >
const Coord2D< T >	operator* (const T &vIn, const Coord2D< T > &v)
template<class T >
const T	operator* (const Coord2D< T > &a, const Coord2D< T > &b)
template<class T >
const Coord2D< T >	operator/ (const Coord2D< T > &v, const T &vIn)
template<class T >
const Coord2D< T >	operator/ (const T &vIn, const Coord2D< T > &v)
template<class T >
const Coord2D< T >	operator+ (const Coord2D< T > &v, const Coord2D< T > &b)
template<class T >
const Coord2D< T >	operator+ (const Coord2D< T > &v, const T &b)
template<class T >
const Coord2D< T >	operator- (const Coord2D< T > &v, const Coord2D< T > &b)
template<class T >
const Coord2D< T >	operator- (const Coord2D< T > &v, const T &b)
template<class T >
const Coord2D< T >	operator- (const Coord2D< T > &v)
template<class T >
bool	operator> (const Coord2D< T > &a, const Coord2D< T > &b)
template<class T >
bool	operator< (const Coord2D< T > &a, const Coord2D< T > &b)
template<class T >
bool	operator== (const Coord2D< T > &a, const Coord2D< T > &b)
template<class T >
bool	operator!= (const Coord2D< T > &a, const Coord2D< T > &b)
template<class T >
bool	operator>= (const Coord2D< T > &a, const Coord2D< T > &b)
template<class T >
bool	operator<= (const Coord2D< T > &a, const Coord2D< T > &b)
template<class T >
StreamPtr	operator>> (StreamPtr stream, Coord2D< T > &coord)
	read operator for reading the data from a Stream
template<class T >
StreamPtr	operator<< (StreamPtr stream, const Coord2D< T > &coord)
	write operator for writing the data to a Stream
template<class T >
const Coord3D< T >	operator^ (const Coord3D< T > &a, const Coord3D< T > &b)
template<class T >
const T	operator* (const Coord3D< T > &a, const Coord3D< T > &b)
template<class T >
const Coord3D< T >	operator* (const Coord3D< T > &v, const T &vIn)
template<class T >
const Coord3D< T >	operator* (const T &vIn, const Coord3D< T > &v)
template<class T >
const Coord3D< T >	operator/ (const Coord3D< T > &v, const T &vIn)
template<class T >
const Coord3D< T >	operator/ (const T &vIn, const Coord3D< T > &v)
template<class T >
const Coord3D< T >	operator/ (const Coord3D< T > &in, const Coord3D< T > &in2)
template<class T >
const Coord3D< T >	operator+ (const Coord3D< T > &v, const Coord3D< T > &b)
template<class T >
const Coord3D< T >	operator+ (const Coord3D< T > &v, const T &b)
template<class T >
const Coord3D< T >	operator- (const Coord3D< T > &v, const Coord3D< T > &b)
template<class T >
const Coord3D< T >	operator- (const Coord3D< T > &v, const T &b)
template<class T >
const Coord3D< T >	operator- (const Coord3D< T > &v)
template<class T >
bool	operator> (const Coord3D< T > &a, const Coord3D< T > &b)
template<class T >
bool	operator< (const Coord3D< T > &a, const Coord3D< T > &b)
template<class T >
bool	operator== (const Coord3D< T > &a, const Coord3D< T > &b)
template<class T >
bool	operator!= (const Coord3D< T > &a, const Coord3D< T > &b)
template<class T >
bool	operator>= (const Coord3D< T > &a, const Coord3D< T > &b)
template<class T >
bool	operator<= (const Coord3D< T > &a, const Coord3D< T > &b)
template<class T >
StreamPtr	operator>> (StreamPtr stream, Coord3D< T > &coord)
	Read operator for reading the data from a TCStream.
template<class T >
StreamPtr	operator<< (StreamPtr stream, const Coord3D< T > &coord)
	Write operator for writing the data to a TCStream.
template<class T >
Coord4D< T >	operator* (const Coord4D< T > &v, const T &vIn)
template<class T >
Coord4D< T >	operator* (const T &vIn, const Coord4D< T > &v)
template<class T >
Coord4D< T >	operator/ (const Coord4D< T > &v, const T &vIn)
template<class T >
Coord4D< T >	operator/ (const T &vIn, const Coord4D< T > &v)
template<class T >
Coord4D< T >	operator+ (const Coord4D< T > &v, const Coord4D< T > &b)
template<class T >
Coord4D< T >	operator- (const Coord4D< T > &v, const Coord4D< T > &b)
template<class T >
Coord4D< T >	operator- (const Coord4D< T > &v)
template<class T >
bool	operator> (const Coord4D< T > &a, const Coord4D< T > &b)
template<class T >
bool	operator< (const Coord4D< T > &a, const Coord4D< T > &b)
template<class T >
bool	operator== (const Coord4D< T > &a, const Coord4D< T > &b)
template<class T >
bool	operator!= (const Coord4D< T > &a, const Coord4D< T > &b)
template<class T >
bool	operator>= (const Coord4D< T > &a, const Coord4D< T > &b)
template<class T >
bool	operator<= (const Coord4D< T > &a, const Coord4D< T > &b)
template<class T >
StreamPtr	operator>> (StreamPtr stream, Coord4D< T > &coord)
	Read operator for reading the data from a TCStream.
template<class T >
StreamPtr	operator<< (StreamPtr stream, const Coord4D< T > &coord)
	Write operator for writing the data to a TCStream.
template<class COORD_TYPE >
double	Distance (const COORD_TYPE &a, const COORD_TYPE &b)
	Computes the distance of two 3-coordinates.
template<class COORD_TYPE >
double	Distance2 (const COORD_TYPE &a, const COORD_TYPE &b)
	Computes the square distance of two 3-coordinates.
template<class COORD_TYPE >
COORD_TYPE::DataType	DotProduct (const COORD_TYPE &a, const COORD_TYPE &b)
	Computes the dot product of two 3-coordinates (float-precision version).
template<class COORD_TYPE >
COORD_TYPE::DataType	DotProduct2 (const COORD_TYPE &a, const COORD_TYPE &b)
	Computes the square dot product of two 3-coordinates.
template<class COORD_TYPE >
COORD_TYPE	Normalize (const COORD_TYPE &coord)
	Computes the the normalized vector of the coord and returns it.
template<class COORD_TYPE >
COORD_TYPE	CrossProduct (const COORD_TYPE &a, const COORD_TYPE &b)
	Computes the cross product of two 3-coordinates.
template<class T >
Coord3D< T >	Max (const Coord3D< T > &a, const Coord3D< T > &b)
template<class T >
Coord2D< T >	Max (const Coord2D< T > &a, const Coord2D< T > &b)
template<class T >
Coord3D< T >	Min (const Coord3D< T > &a, const Coord3D< T > &b)
template<class T >
Coord2D< T >	Min (const Coord2D< T > &a, const Coord2D< T > &b)
template<class T >
Coord3D< T >	Normalvector (sint32 numPoints, const Coord3D< T > *coords)
	Calculates the normal vector of the plane defined by the points.
template<class COORD_TYPE >
double	Angle (const COORD_TYPE &a, const COORD_TYPE &b)
	Computes the angle between two 3d vectors.
template<class T >
bool	IsPointInCircle (const Coord2D< T > &Point, const Coord2D< T > &center, double radius)
template<class T >
bool	CheckInsidePolygon (const Coord2D< T > &point, sint32 num_points, const Coord2D< T > *polygon)
template<class T >
T	Abs (const T &x)
template<class T >
T	Pow (T x, uint32 y)
	integer version of pow(.
uint32	Align32 (uint32 size)
	aligns a given number to 32
bool	Compare (double val1, double val2)
	Compare two double values if equal by checking their difference.
uint32	Align16 (uint32 size)
	aligns a given number to 16
template<class T >
double	Deg2Rad (T val)
	Function converts angle in degrees to angle in radians.
template<class T >
double	Rad2Deg (T val)
	Function converts angle in radians to angle in degrees.
template<class T >
T	Normalize (T minValue, T maxValue, T value)
	Function converts a value in the range between minValue and maxValue to a value between 0 and one.
template<class T >
double	SinXOverX (T x)
	This function calculates sin(x)/x in a safe way, i.e.
template<class T >
T	RoundToFirstSignificantValue (T val)
	Round any kind of value to the first significant value.
template<class T >
bool	Compare (const T &val1, const T &val2)
	compare double or float value with its specified system epsilon
bool	IsNaN (double val)
	function returns a true value if value is "not-a-number" (NaN), and false otherwise.
bool	IsFinite (double val)
bool	IsInf (double val)
Variables
const double	PI = 3.1415926535897932385E0
	The constant value of PI.
const double	MEGA_BYTES = 1024. * 1024.
	The constant value one Megabyte in bytes.

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Detailed Description

TC::Math is intended to provide methods to perform common math operations.

These include providing constants such as Pi; conversion from degrees to radians; vector operations such as dot and cross products matrix determinant for 2x2 and 3x3 matrices; and random number generation. Note that these are not all implemented yet.