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//-*-C++-*-
/*
**************************************************************************
description
--------------------
copyright : (C) 2000-2001 by Andreas Zehender
email : zehender@kde.org
**************************************************************************
**************************************************************************
* *
* This program is free software; you can redistribute it and/or modify *
* it under the terms of the GNU General Public License as published by *
* the Free Software Foundation; either version 2 of the License, or *
* (at your option) any later version. *
* *
**************************************************************************/
#ifndef PMVECTOR_H
#define PMVECTOR_H
#include <qmemarray.h>
#include <qstring.h>
class PMMatrix;
/**
* Class for vectors with variable size
*/
class PMVector
{
public:
/**
* Creates a vector with size s. All values are set to 0
*/
PMVector( unsigned int s );
/**
* Creates a vector with size 3. All values are set to 0
*/
PMVector( );
/**
* Creates a vector with coordinates [x,y]
*/
PMVector( const double x, const double y );
/**
* Creates a vector with coordinates [x,y,z]
*/
PMVector( const double x, const double y, const double z );
/**
* Creates a vector with coordinates [x,y,z,t]
*/
PMVector( const double x, const double y, const double z, const double t );
/**
* Copy constructor. Creates a deep copy.
*/
PMVector( const PMVector& v );
/**
* Deletes the vector
*/
~PMVector( );
/**
* Returns the size of the vector
*/
unsigned int size( ) const { return m_size; }
/**
* Resizes the vector. New elements are initialized with 0
*/
void resize( unsigned int size );
/**
* Returns a reference to a coordinate, 0:x, 1:y, 2:z
*/
double& operator[] ( int index );
/**
* Returns a reference to a coordinate, 0:x, 1:y, 2:z
*/
const double& operator[] ( int index ) const;
/**
* Returns the x coordinate
*/
double x( ) const { return (*this)[0]; }
/**
* Returns the y coordinate
*/
double y( ) const { return (*this)[1]; }
/**
* Returns the z coordinate
*/
double z( ) const { return (*this)[2]; }
/**
* Returns the t coordinate
*/
double t( ) const { return (*this)[3]; }
/**
* Sets the x coordinate
*/
void setX( const double d ) { (*this)[0] = d; }
/**
* Sets the y coordinate
*/
void setY( const double d ) { (*this)[1] = d; }
/**
* Sets the z coordinate
*/
void setZ( const double d ) { (*this)[2] = d; }
/**
* Sets the x coordinate
*/
void setT( const double d ) { (*this)[3] = d; }
/**
* Transforms the point with the matrix m. Same as p = m * p
*
* size must be 3!
*/
void transform( const PMMatrix& m );
/**
* Assigns p to the vector. Resizes the vector if necessary.
*/
PMVector& operator= ( const PMVector& p );
/**
* Sets all values to d
*/
PMVector& operator= ( const double d );
/**
* Multiplies all coordinates with d
*/
PMVector& operator*= ( double d );
/**
* Divides all coordinates through d
*/
PMVector& operator/= ( double d );
/**
* Adds d to all coordinates
*/
PMVector& operator+= ( double d );
/**
* Subtracts d from all coordinates
*/
PMVector& operator-= ( double d );
/**
* Multiplies the vectors (<x1*x2, y1*y2, z1*z2> ...)
*/
PMVector& operator*= ( const PMVector& p );
/**
* Divides the vectors (<x1/x2, y1/y2, z1/z2> ...)
*/
PMVector& operator/= ( const PMVector& p );
/**
* Adds p to the point.
*/
PMVector& operator+= ( const PMVector& p );
/**
* Subtracts p from the point.
*/
PMVector& operator-= ( const PMVector& p );
/**
* Returns a point with negated coordinates
*/
friend PMVector operator- ( const PMVector& p );
/**
* Adds the two points
*/
friend PMVector operator+ ( const PMVector& p1, const PMVector& p2 );
/**
* Subtracts p2 from p1
*/
friend PMVector operator- ( const PMVector& p1, const PMVector& p2 );
/**
* Multiplies all coordinates with d
*/
friend PMVector operator* ( const PMVector& p, const double d );
/**
* Divides all coordinates by d
*/
friend PMVector operator/ ( const PMVector& p, const double d );
/**
* Adds d to all coordinates
*/
friend PMVector operator+ ( const PMVector& p, const double d );
/**
* Subtracts d from all coordinates
*/
friend PMVector operator- ( const PMVector& p, const double d );
/**
* Multiplies all coordinates with d
*/
friend PMVector operator* ( const double d, const PMVector& p );
/**
* Multiplies the vectors (<x1*x2, y1*y2, z1*z2> ...)
*/
friend PMVector operator* ( const PMVector& p1, const PMVector& p2 );
/**
* Divides the vectors (<x1/x2, y1/y2, z1/z2> ...)
*/
friend PMVector operator/ ( const PMVector& p1, const PMVector& p2 );
/**
* Transforms the point p with the matrix m
* @see transform
*/
friend PMVector operator* ( const PMMatrix& m, const PMVector& p );
/**
* Returns true if the vectors have the same size and values
*/
bool operator== ( const PMVector& p ) const;
/**
* Returns false if the vectors have the same size and values
*/
bool operator!= ( const PMVector& p ) const;
/**
* Returns true if the vectors have the same size and values
*/
bool approxEqual( const PMVector& p, double epsilon = 1e-6 ) const;
/**
* Returns the cross product of v1 and v2
*
* Size of v1 and v2 has to be 3!
*/
static PMVector cross( const PMVector& v1, const PMVector& v2 );
/**
* Returns the dot product of v1 and v2
*/
static double dot( const PMVector& v1, const PMVector& v2 );
/**
* Returns the angle between v1 and v2
*
* Size of v1 and v2 has to be 3!
*/
static double angle( const PMVector& v1, const PMVector& v2 );
/**
* Returns the length of the vector
*/
double abs( ) const;
/**
* Returns a normalized vector that is orthogonal to this vector
*/
PMVector orthogonal( ) const;
/**
* Returns a string for serialization
*/
QString serialize( ) const;
/**
* Returns a string for xml output
*/
QString serializeXML( ) const;
/**
* loads the vector data from the xml string
*/
bool loadXML( const QString& str );
private:
void allocateMemory( unsigned int size );
double* m_coord;
static double s_dummy;
unsigned int m_size;
};
#endif
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