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flightgear/Math/point3d.hxx

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// point3d.hxx -- a 3d point class.
//
// Adapted from algebra3 by Jean-Francois Doue, started October 1998.
//
// Copyright (C) 1998 Curtis L. Olson - curt@me.umn.edu
//
// 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.
//
// This program is distributed in the hope that it will be useful, but
// WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
// General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with this program; if not, write to the Free Software
// Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
//
// $Id$
// (Log is kept at end of this file)
#ifndef _POINT3D_HXX
#define _POINT3D_HXX
#ifndef __cplusplus
# error This library requires C++
#endif
#include "Include/compiler.h"
#ifdef FG_MATH_EXCEPTION_CLASH
# define exception c_exception
#endif
#ifdef FG_HAVE_STD_INCLUDES
# include <iostream>
# include <cassert>
# include <cmath>
#else
# include <iostream.h>
# include <assert.h>
# include <math.h>
#endif
#ifndef FG_HAVE_NATIVE_SGI_COMPILERS
FG_USING_STD(ostream);
FG_USING_STD(istream);
#endif
// -rp- assert.h is buggy under MWCWP3, as multiple #include undef assert !
#ifdef __MWERKS__
# define assert(x)
#endif
const double fgPoint3_Epsilon = 0.0000001;
enum {PX, PY, PZ}; // axes
// Kludge for msvc++ 6.0 - requires forward decls of friend functions.
class Point3D;
istream& operator>> ( istream&, Point3D& );
ostream& operator<< ( ostream&, const Point3D& );
Point3D operator- (const Point3D& p); // -p1
bool operator== (const Point3D& a, const Point3D& b); // p1 == p2?
///////////////////////////
//
// 3D Point
//
///////////////////////////
class Point3D {
protected:
double n[3];
public:
// Constructors
Point3D();
Point3D(const double x, const double y, const double z);
explicit Point3D(const double d);
Point3D(const Point3D &p);
// Assignment operators
Point3D& operator = ( const Point3D& p ); // assignment of a Point3D
Point3D& operator += ( const Point3D& p ); // incrementation by a Point3D
Point3D& operator -= ( const Point3D& p ); // decrementation by a Point3D
Point3D& operator *= ( const double d ); // multiplication by a constant
Point3D& operator /= ( const double d ); // division by a constant
void setx(const double x);
void sety(const double y);
void setz(const double z);
// Queries
double& operator [] ( int i); // indexing
double operator[] (int i) const; // read-only indexing
double x() const; // cartesian x
double y() const; // cartesian y
double z() const; // cartesian z
double lon() const; // polar longitude
double lat() const; // polar latitude
double radius() const; // polar radius
double elev() const; // geodetic elevation (if specifying a surface point)
// friends
friend Point3D operator - (const Point3D& p); // -p1
friend bool operator == (const Point3D& a, const Point3D& b); // p1 == p2?
friend istream& operator>> ( istream&, Point3D& );
friend ostream& operator<< ( ostream&, const Point3D& );
// Special functions
double distance3D(const Point3D& a) const; // distance between
double distance3Dsquared(const Point3D& a) const; // distance between ^ 2
};
// input from stream
inline istream&
operator >> ( istream& in, Point3D& p)
{
char c;
in >> p.n[PX];
// read past optional comma
while ( in.get(c) ) {
if ( (c != ' ') && (c != ',') ) {
// push back on the stream
in.putback(c);
break;
}
}
in >> p.n[PY];
// read past optional comma
while ( in.get(c) ) {
if ( (c != ' ') && (c != ',') ) {
// push back on the stream
in.putback(c);
break;
}
}
in >> p.n[PZ];
return in;
}
inline ostream&
operator<< ( ostream& out, const Point3D& p )
{
return out << p.n[PX] << ", " << p.n[PY] << ", " << p.n[PZ];
}
///////////////////////////
//
// Point3D Member functions
//
///////////////////////////
// CONSTRUCTORS
inline Point3D::Point3D() {}
inline Point3D::Point3D(const double x, const double y, const double z)
{
n[PX] = x; n[PY] = y; n[PZ] = z;
}
inline Point3D::Point3D(const double d)
{
n[PX] = n[PY] = n[PZ] = d;
}
inline Point3D::Point3D(const Point3D& p)
{
n[PX] = p.n[PX]; n[PY] = p.n[PY]; n[PZ] = p.n[PZ];
}
// ASSIGNMENT OPERATORS
inline Point3D& Point3D::operator = (const Point3D& p)
{
n[PX] = p.n[PX]; n[PY] = p.n[PY]; n[PZ] = p.n[PZ]; return *this;
}
inline Point3D& Point3D::operator += ( const Point3D& p )
{
n[PX] += p.n[PX]; n[PY] += p.n[PY]; n[PZ] += p.n[PZ]; return *this;
}
inline Point3D& Point3D::operator -= ( const Point3D& p )
{
n[PX] -= p.n[PX]; n[PY] -= p.n[PY]; n[PZ] -= p.n[PZ]; return *this;
}
inline Point3D& Point3D::operator *= ( const double d )
{
n[PX] *= d; n[PY] *= d; n[PZ] *= d; return *this;
}
inline Point3D& Point3D::operator /= ( const double d )
{
double d_inv = 1./d; n[PX] *= d_inv; n[PY] *= d_inv; n[PZ] *= d_inv;
return *this;
}
inline void Point3D::setx(const double x) {
n[PX] = x;
}
inline void Point3D::sety(const double y) {
n[PY] = y;
}
inline void Point3D::setz(const double z) {
n[PZ] = z;
}
// QUERIES
inline double& Point3D::operator [] ( int i)
{
assert(! (i < PX || i > PZ));
return n[i];
}
inline double Point3D::operator [] ( int i) const {
assert(! (i < PX || i > PZ));
return n[i];
}
inline double Point3D::x() const { return n[PX]; }
inline double Point3D::y() const { return n[PY]; }
inline double Point3D::z() const { return n[PZ]; }
inline double Point3D::lon() const { return n[PX]; }
inline double Point3D::lat() const { return n[PY]; }
inline double Point3D::radius() const { return n[PZ]; }
inline double Point3D::elev() const { return n[PZ]; }
// FRIENDS
inline Point3D operator - (const Point3D& a)
{
return Point3D(-a.n[PX],-a.n[PY],-a.n[PZ]);
}
inline Point3D operator + (const Point3D& a, const Point3D& b)
{
return Point3D(a) += b;
}
inline Point3D operator - (const Point3D& a, const Point3D& b)
{
return Point3D(a) -= b;
}
inline Point3D operator * (const Point3D& a, const double d)
{
return Point3D(a) *= d;
}
inline Point3D operator * (const double d, const Point3D& a)
{
return a*d;
}
inline Point3D operator / (const Point3D& a, const double d)
{
return Point3D(a) *= (1.0 / d );
}
inline bool operator == (const Point3D& a, const Point3D& b)
{
return
(a.n[PX] - b.n[PX]) < fgPoint3_Epsilon &&
(a.n[PY] - b.n[PY]) < fgPoint3_Epsilon &&
(a.n[PZ] - b.n[PZ]) < fgPoint3_Epsilon;
}
inline bool operator != (const Point3D& a, const Point3D& b)
{
return !(a == b);
}
// Special functions
inline double
Point3D::distance3D(const Point3D& a ) const
{
double x, y, z;
x = n[PX] - a.n[PX];
y = n[PY] - a.n[PY];
z = n[PZ] - a.n[PZ];
return sqrt(x*x + y*y + z*z);
}
inline double
Point3D::distance3Dsquared(const Point3D& a ) const
{
double x, y, z;
x = n[PX] - a.n[PX];
y = n[PY] - a.n[PY];
z = n[PZ] - a.n[PZ];
return(x*x + y*y + z*z);
}
#endif // _POINT3D_HXX
// $Log$
// Revision 1.10 1999/03/02 01:01:52 curt
// Tweaks for compiling with native SGI compilers.
//
// Revision 1.9 1999/02/01 21:08:28 curt
// Optimizations from Norman Vine.
//
// Revision 1.8 1999/01/27 04:46:18 curt
// Portability tweaks by Bernie Bright.
//
// Revision 1.7 1999/01/19 20:56:58 curt
// MacOS portability changes contributed by "Robert Puyol" <puyol@abvent.fr>
//
// Revision 1.6 1998/11/23 21:46:37 curt
// Borland portability tweaks.
//
// Revision 1.5 1998/11/20 01:00:38 curt
// Patch in fgGeoc2Geod() to avoid a floating explosion.
// point3d.hxx include math.h for FreeBSD
//
// Revision 1.4 1998/11/11 00:18:38 curt
// Check for domain error in fgGeoctoGeod()
//
// Revision 1.3 1998/10/20 18:21:49 curt
// Tweaks from Bernie Bright.
//
// Revision 1.2 1998/10/18 01:17:12 curt
// Point3D tweaks.
//
// Revision 1.1 1998/10/16 00:50:29 curt
// Added point3d.hxx to replace cheezy fgPoint3d struct.
//
//