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CTMaths Class Reference

For mathematical calculation. More...

#include <tvu_maths.h>

Inheritance diagram for CTMaths::

Public Types
enum	{ INTERSEC_NONE = 0x00, INTERSEC_YES = 0x77, INTERSEC_WELL = 0x11, INTERSEC_L1 = 0x01, INTERSEC_L1_1 = 0x02, INTERSEC_L1_2 = 0x04, INTERSEC_L2 = 0x10, INTERSEC_L2_1 = 0x20, INTERSEC_L2_2 = 0x40 }
Public Methods
	CTMaths ()
	Constructor/destructor. More...
	~CTMaths ()
CTPoint3D&	Move (TPOINT3D &pt)
CTPoint3D&	Rotate (TPOINT3D &pt)
CTPoint3D&	Expand (TPOINT3D &pt)
CTPoint3D&	RotateMove (TPOINT3D &pt)
CTPoint3D&	Project (TPOINT3D &pt)
void	PrepareMove (CTPoint3D &Coordinate)
	Apply all of previous oprerators. More...
void	PrepareRotate (CTAngles &Angles)
void	PrepareExpand (CTSize3D &Size)
void	PrepareProject (CTPoint3D &Coordinate, CTAngles &Angles, CTSize3D &Size)
void	CreateTransformMatrix (TLPSTR lpMatrix, TBOOL bTo=TTRUE)
Static Public Methods
TBOOL	Equal (TINT x1, TINT x2, TINT r=0)
	Mathematical caculations. More...
TBOOL	Equal (double x1, double x2, double r=EPSILON)
TBOOL	NotEqual (double x1, double x2, double r=EPSILON)
TBOOL	Zero (double x, double r=EPSILON)
TBOOL	NotZero (double x, double r=EPSILON)
TBOOL	InInterval (double x, double x1, double x2)
TBOOL	NotInInterval (double x, double x1, double x2)
TINT	SolveEquation (double a, double b, double *x, TBOOL TestOnly=TFALSE)
	Equation and equations system solving Return the number of solutions: -1 ~ uncountable TestOnly: On/Off that only pour verify if the equation has atleast one solution ax + b = 0. More...
TINT	SolveEquation (double a, double b, double c, double *x, TBOOL TestOnly=TFALSE)
	ax^2 + bx + c = 0. More...
TINT	SolveEquations (double a1, double b1, double c1, double a2, double b2, double c2, double x, double y, TBOOL TestOnly=TFALSE)
	a1x + b1y + c1 = 0 a2x + b2y + c2 = 0. More...
double	R2D (double r)
	Angle calculation. More...
double	D2R (double d)
double	ValidAngle (double a)
double	VectNormSquare (double x, double y)
	2D vector calculation. More...
double	VectNorm (double x, double y)
double	VectAngleY (double x, double y)
	Relative angle with Y: 0. -> 2PI. More...
double	VectAngleX (double x, double y)
	Relative angle with X: 0 -> 2PI. More...
double	VectAngleVect (double x1, double y1, double x2, double y2)
	Relative angle of v2 with v1. More...
void	VectGetNextPoint (double x, double y, double Angle, double distance, double nx, double ny)
	Angle with Y. More...
void	VectGetNextPoint (double xVect, double yVect, double x, double y, double distance, double nx, double ny)
double	Vect3DNormSquare (double x, double y, double z)
	3D vector calculation. More...
double	Vect3DNorm (double x, double y, double z)
double	Vect3DAngleZ_Y (double x, double y, double z)
	Relative angle with Z in the face (Y, Z): 0. -> 2PI ==> Rotate around X. More...
double	Vect3DAngleY_Z (double x, double y, double z)
	Relative angle with Y in the face (Y, Z): 0. -> 2PI ==> Rotate around X. More...
double	Vect3DAngleZ_X (double x, double y, double z)
	Relative angle with Z in the face (X, Z): 0. -> 2PI ==> Rotate around Y. More...
double	Vect3DAngleX_Z (double x, double y, double z)
	Relative angle with X in the face (X, Z): 0. -> 2PI ==> Rotate around Y. More...
double	Vect3DAngleY_X (double x, double y, double z)
	Relative angle with Y in the face (X, Y): 0. -> 2PI ==> Rotate around Z. More...
double	Vect3DAngleX_Y (double x, double y, double z)
	Relative angle with X in the face (X, Y): 0. -> 2PI ==> Rotate around Z. More...
double	Vect3DAngleXY (double x, double y, double z)
	Angle with the face (X, Y): -PI/2. -> PI/2.,. More...
double	Vect3DAngleYZ (double x, double y, double z)
	Angle with the face (Y, Z): -PI/2. -> PI/2.,. More...
double	Vect3DAngleZX (double x, double y, double z)
	Angle with the face (Z, X): -PI/2. -> PI/2.,. More...
void	Vect3DGetNextPoint (double xVect, double yVect, double zVect, double x, double y, double z, double distance, double nx, double ny, double *nz)
TBOOL	SegmentIntersection (double x1, double y1, double x2, double y2, double x3, double y3, double x4, double y4, double x, double y)
	Segment calculation. More...
TBOOL	SegmentIntersectionValid (double x1, double y1, double x2, double y2, double x3, double y3, double x4, double y4, double x, double y)
TINT	SegmentRelation (double x1, double y1, double x2, double y2, double x3, double y3, double x4, double y4, double x, double y)
TBOOL	IsPointInsidePolygon (CTList pPolygon, double px, double py, double pz)
	A point is inside a polygon. More...
TVOID	RegisterCodedFunctions ()
Static Public Attributes
double	PI
	PI, PI/2, PI/4, 2PI, 3PI, 4PI. More...
double	PI_2
	PI, PI/2, PI/4, 2PI, 3PI, 4PI. More...
double	PI_4
	PI, PI/2, PI/4, 2PI, 3PI, 4PI. More...
double	PIx2
	PI, PI/2, PI/4, 2PI, 3PI, 4PI. More...
double	PIx3
	PI, PI/2, PI/4, 2PI, 3PI, 4PI. More...
double	PIx4
	PI, PI/2, PI/4, 2PI, 3PI, 4PI. More...
double	EPSILON
	PI, PI/2, PI/4, 2PI, 3PI, 4PI. More...
CTMaths	Default
Static Protected Methods
CTObject*	While (CTList pParams)
CTObject*	Sin (CTList pParams)
CTObject*	Cos (CTList pParams)
CTObject*	Tang (CTList pParams)
CTObject*	Cotang (CTList pParams)
CTObject*	Qrt (CTList pParams)
CTObject*	Sqrt (CTList pParams)
Protected Attributes
CTPoint3D	m_Position
	Private data. More...
CTAngles	m_Angles
CTSize3D	m_Size
double	sin_a
	Temp: Alpha, Beta, Gamma. More...
double	cos_a
	Temp: Alpha, Beta, Gamma. More...
double	sin_b
	Temp: Alpha, Beta, Gamma. More...
double	cos_b
	Temp: Alpha, Beta, Gamma. More...
double	sin_g
	Temp: Alpha, Beta, Gamma. More...
double	cos_g
	Temp: Alpha, Beta, Gamma. More...
double	xX
double	yX
double	zX
double	xY
double	yY
double	zY
double	xZ
double	yZ
double	zZ
CTPoint3D	m_TempPoint
	Buffer. More...

Detailed Description

For mathematical calculation.

Constructor & Destructor Documentation

CTMaths::CTMaths ( )

Constructor/destructor.

Member Function Documentation

TBOOL CTMaths::Equal ( TINT x1,

TINT x2,

TINT r = 0 ) [inline, static]

Mathematical caculations.

00062 { return (x1-r <= x2) && (x2 <= x1+r); }

TBOOL CTMaths::IsPointInsidePolygon ( CTList pPolygon,

double px,

double py,

double pz ) [static]

A point is inside a polygon.

void CTMaths::PrepareMove ( CTPoint3D & Coordinate )

Apply all of previous oprerators.

double CTMaths::R2D ( double r ) [inline, static]

Angle calculation.

00080 { return r*180./PI; }

TBOOL CTMaths::SegmentIntersection ( double x1,

double y1,

double x2,

double y2,

double x3,

double y3,

double x4,

double y4,

double * x,

double * y ) [static]

Segment calculation.

TINT CTMaths::SolveEquation ( double a,

double b,

double c,

double * x,

TBOOL TestOnly = TFALSE ) [static]

ax^2 + bx + c = 0.

TINT CTMaths::SolveEquation ( double a,

double b,

double * x,

TBOOL TestOnly = TFALSE ) [static]

Equation and equations system solving Return the number of solutions: -1 ~ uncountable TestOnly: On/Off that only pour verify if the equation has atleast one solution ax + b = 0.

TINT CTMaths::SolveEquations ( double a1,

double b1,

double c1,

double a2,

double b2,

double c2,

double * x,

double * y,

TBOOL TestOnly = TFALSE ) [static]

a1x + b1y + c1 = 0 a2x + b2y + c2 = 0.

double CTMaths::Vect3DAngleXY ( double x,

double y,

double z ) [inline, static]

Angle with the face (X, Y): -PI/2. -> PI/2.,.

00111 : -PI/2. -> PI/2., 00112 { return asin(z/Vect3DNorm(x, y, z)); }

double CTMaths::Vect3DAngleX_Y ( double x,

double y,

double z ) [inline, static]

Relative angle with X in the face (X, Y): 0. -> 2PI ==> Rotate around Z.

00109 : 0. -> 2PI ==> Rotate around Z 00110 { return VectAngleX(x, y); }

double CTMaths::Vect3DAngleX_Z ( double x,

double y,

double z ) [inline, static]

Relative angle with X in the face (X, Z): 0. -> 2PI ==> Rotate around Y.

00105 : 0. -> 2PI ==> Rotate around Y 00106 { return VectAngleX(x, z); }

double CTMaths::Vect3DAngleYZ ( double x,

double y,

double z ) [inline, static]

Angle with the face (Y, Z): -PI/2. -> PI/2.,.

00113 : -PI/2. -> PI/2., 00114 { return asin(x/Vect3DNorm(x, y, z)); }

double CTMaths::Vect3DAngleY_X ( double x,

double y,

double z ) [inline, static]

Relative angle with Y in the face (X, Y): 0. -> 2PI ==> Rotate around Z.

00107 : 0. -> 2PI ==> Rotate around Z 00108 { return VectAngleY(x, y); }

double CTMaths::Vect3DAngleY_Z ( double x,

double y,

double z ) [inline, static]

Relative angle with Y in the face (Y, Z): 0. -> 2PI ==> Rotate around X.

00101 : 0. -> 2PI ==> Rotate around X 00102 { return VectAngleX(y, z); }

double CTMaths::Vect3DAngleZX ( double x,

double y,

double z ) [inline, static]

Angle with the face (Z, X): -PI/2. -> PI/2.,.

00115 : -PI/2. -> PI/2., 00116 { return asin(y/Vect3DNorm(x, y, z)); }

double CTMaths::Vect3DAngleZ_X ( double x,

double y,

double z ) [inline, static]

Relative angle with Z in the face (X, Z): 0. -> 2PI ==> Rotate around Y.

00103 : 0. -> 2PI ==> Rotate around Y 00104 { return VectAngleY(x, z); }

double CTMaths::Vect3DAngleZ_Y ( double x,

double y,

double z ) [inline, static]

Relative angle with Z in the face (Y, Z): 0. -> 2PI ==> Rotate around X.

00099 : 0. -> 2PI ==> Rotate around X 00100 { return VectAngleY(y, z); }

double CTMaths::Vect3DNormSquare ( double x,

double y,

double z ) [inline, static]

3D vector calculation.

00097 { return x*x + y*y + z*z; }

double CTMaths::VectAngleVect ( double x1,

double y1,

double x2,

double y2 ) [inline, static]

Relative angle of v2 with v1.

00091 { return VectAngleY(x2, y2) - VectAngleY(x1, y1); }

double CTMaths::VectAngleX ( double x,

double y ) [inline, static]

Relative angle with X: 0 -> 2PI.

00088 : 0 -> 2PI 00089 { return VectAngleY(y, -x); }

double CTMaths::VectAngleY ( double x,

double y ) [inline, static]

Relative angle with Y: 0. -> 2PI.

00086 : 0. -> 2PI 00087 { double a = asin(x/VectNorm(x, y)); return (y >= 0.) ? ((a >= 0.) ? a : (2*PI+a)) : (PI-a); }

void CTMaths::VectGetNextPoint ( double x,

double y,

double Angle,

double distance,

double * nx,

double * ny ) [inline, static]

Angle with Y.

00093 { *nx = x + distance*sin(Angle); *ny = y + distance*cos(Angle); }

double CTMaths::VectNormSquare ( double x,

double y ) [inline, static]

2D vector calculation.

00084 { return x*x + y*y; }

Field Documentation

double CTMaths::EPSILON [static]

PI, PI/2, PI/4, 2PI, 3PI, 4PI.

double CTMaths::PI [static]

PI, PI/2, PI/4, 2PI, 3PI, 4PI.

double CTMaths::PI_2 [static]

PI, PI/2, PI/4, 2PI, 3PI, 4PI.

double CTMaths::PI_4 [static]

PI, PI/2, PI/4, 2PI, 3PI, 4PI.

double CTMaths::PIx2 [static]

PI, PI/2, PI/4, 2PI, 3PI, 4PI.

double CTMaths::PIx3 [static]

PI, PI/2, PI/4, 2PI, 3PI, 4PI.

double CTMaths::PIx4 [static]

PI, PI/2, PI/4, 2PI, 3PI, 4PI.

double CTMaths::cos_a [protected]

Temp: Alpha, Beta, Gamma.

double CTMaths::cos_b [protected]

Temp: Alpha, Beta, Gamma.

double CTMaths::cos_g [protected]

Temp: Alpha, Beta, Gamma.

CTPoint3D CTMaths::m_Position [protected]

Private data.

CTPoint3D CTMaths::m_TempPoint [protected]

Buffer.

double CTMaths::sin_a [protected]

Temp: Alpha, Beta, Gamma.

double CTMaths::sin_b [protected]

Temp: Alpha, Beta, Gamma.

double CTMaths::sin_g [protected]

Temp: Alpha, Beta, Gamma.

The documentation for this class was generated from the following file:

/lib/libtvubase/tvu_maths.h

Generated at Wed Aug 6 15:59:00 2003 for TVU's libraries for video surveillance: by

CTMaths Class Reference

Public Types

Public Methods

Static Public Methods

Static Public Attributes

Static Protected Methods

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Field Documentation