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GLT Math

Files
file	bbox.cpp
file	bbox.h
	Axis-Aligned 3D Bounding Box Class.
file	matrix4.cpp
file	matrix4.h
	4x4 Matrix
file	path.cpp
file	path.h
	Parametric 3D Curves.
file	plane.cpp
file	plane.h
	3D Plane Equation
file	point.cpp
file	point.h
	3D Position and Normal Class
file	random.cpp
file	random.h
	Random Number Classes.
file	real.h
	Numerical Constants.
file	round.cpp
file	round.h
	Numerical Rounding Routines.
file	umatrix.cpp
file	umatrix.h
	4 UnMatrix
file	vector3.cpp
file	vector3.h
	3D Vector
file	vector4.cpp
file	vector4.h
	4D Vector
file	volume.cpp
file	volume.h
	Volume calculation.
Compounds
class	BoundingBox
	Axis-Aligned 3D Bounding Box Class. More...
class	Matrix
	4x4 Matrix More...
class	GltPath3D
	Abstract base class for parametric 3D paths. More...
class	GltPath3DLine
	Linear 3D path. More...
class	GltPath3DHelix
	Helical 3D path. More...
class	GltPath3DSegment
	3D path segment More...
class	Plane
	3D Plane Equation More...
class	Point
	3D Position and Normal Class More...
class	GltRandomLCG
	The Park and Miller "Minimal Standard" LCG generator. More...
class	GltRandomLFSRMix
	Multiple LFSR (Linear Feedback Shift Register) generator. More...
class	GltRandomDouble
	Adaptor for random double precision floating point numbers. More...
class	GltRandomInteger
	Adaptor for random numbers in integer domain. More...
class	GltRandomSphere
	Random points on the unit sphere. More...
class	GltRandomOrientation
	Random orientation matricies in 3D. More...
class	UnMatrix
	4x4 UnMatrix More...
class	Vector
	3D Vector More...
struct	Vector4
	4D Vector More...
Functions
Matrix	matrixScale (const double sf)
	Uniform scale transformation matrix.
Matrix	matrixScale (const Vector sf)
	Non-uniform scale transformation matrix.
Matrix	matrixTranslate (const Vector trans)
	Translation transformation matrix.
Matrix	matrixTranslate (const real x, const real y, const real z)
	Translation transformation matrix.
Matrix	matrixRotate (const Vector axis, const double angle)
	Axis rotation transformation matrix.
Matrix	matrixRotate (const double azimuth, const double elevation)
	Rotation transformation matrix.
Matrix	matrixOrient (const Vector &x, const Vector &y, const Vector &z)
	Orientation transformation matrix.
Matrix	matrixOrient (const Vector &direction, const Vector &up)
	Orientation transformation matrix.
std::ostream &	operator<< (std::ostream &os, const Matrix &m)
	Write a matrix to a text output stream.
std::istream &	operator>> (std::istream &is, Matrix &m)
	Read a matrix from a text output stream.
float	round (const float value, const int precision)
	rounds value to a specified precision
double	round (const double value, const int precision)
	rounds value to a specified precision
UnMatrix	operator- (const UnMatrix &b, const UnMatrix &a)
	UnMatrix difference.
UnMatrix	operator * (const UnMatrix &a, const double scaleFactor)
	UnMatrix scaling.
UnMatrix	operator+ (const UnMatrix &a, const UnMatrix &b)
	UnMatrix addition.
std::ostream &	operator<< (std::ostream &os, const UnMatrixField &field)
	Output an UnMatrix field description to a text stream.
istream &	operator>> (istream &is, UnMatrixField &field)
	Read an UnMatrix field from a text stream.
std::ostream &	operator<< (std::ostream &os, const UnMatrix &unMatrix)
	Write an UnMatrix to a text stream.
istream &	operator>> (istream &is, UnMatrix &unMatrix)
	Read an UnMatrix from a text stream.
ostream &	operator<< (ostream &os, const Vector &x)
	Output vector to stream.
istream &	operator>> (istream &is, Vector &x)
	Input vector from stream.
Vector	operator * (const real x, const Vector &v)
	Vector scale.
Vector	operator * (const Vector &v, const real x)
	Vector scale.
Vector	operator/ (const Vector &v, const real x)
	Vector inverse scale.
Vector	operator+ (const Vector &v1, const Vector &v2)
	Vector addition.
Vector	operator- (const Vector &v1, const Vector &v2)
	Vector difference.
Vector	xProduct (const Vector &v1, const Vector &v2)
	Vector cross product.
Vector	planeNormal (const Vector &v1, const Vector &v2, const Vector &v3)
	Calculate normal from three points in plane.
Vector	polar (const real lat, const real longitude)
	Location on unit sphere.
void	orthogonalSystem (Vector &a, Vector &b, Vector &c)
	Create orthogonal co-ordinate system, based on a.
ostream &	operator<< (ostream &os, const Vector4 &x)
	Output vector to stream.
istream &	operator>> (istream &is, Vector4 &x)
	Input vector from stream.

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Function Documentation

Matrix matrixRotate (  const Vector    axis, const double    angle )

Axis rotation transformation matrix. Parameters: axis  Axis of rotation angle  Angle in degrees Definition at line 310 of file matrix4.cpp. References Vector::norm(), and Matrix::set().

Matrix matrixRotate (  const double    azimuth, const double    elevation )

Rotation transformation matrix. Parameters: azimuth  East-West degrees elevation  North-South degrees Definition at line 348 of file matrix4.cpp. References Matrix::set(). Referenced by GltInterpolatorRotation::draw(), GltPath3DHelix::GltPath3DHelix(), GlutWindowExaminer::OnKeyboard(), and GlutWindowExaminer::OnMotion().

Matrix matrixOrient (  const Vector &    x, const Vector &    y, const Vector &    z )

Orientation transformation matrix. Parameters: x  New orientation for +x y  New orientation for +y z  New orientation for +z Definition at line 380 of file matrix4.cpp. References Matrix::set(), Vector::x(), Vector::y(), and Vector::z().

Matrix matrixOrient (  const Vector &    direction, const Vector &    up )

Orientation transformation matrix. Parameters: direction  New orientation for +z up  New orientation for +y Definition at line 406 of file matrix4.cpp. References Vector::norm(), Vector::normalize(), and xProduct(). Referenced by GlutCylinder::position().

float round (  const float    value, const int    precision = 0 )

rounds value to a specified precision Author: Stefan Greuter Parameters: value  float to be rounded precision  desired precision Returns: rounded float value Note: precision must be non-negative Returns the rounded value of 'value' to the specified 'precision' (number of digits after the decimal point). The must be a positive integer value. Definition at line 13 of file round.cpp.

double round (  const double    value, const int    precision = 0 )

rounds value to a specified precision Author: Stefan Greuter Parameters: value  float to be rounded precision  desired precision Returns: rounded float value Note: precision must be non-negative Returns the rounded value of 'value' to the specified 'precision' (number of digits after the decimal point). The must be a positive integer value. Definition at line 22 of file round.cpp. Referenced by round().

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