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point3d.cpp
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point3d.cpp
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//=========================================================================
// COPYRIGHT (c) 2001-2003 by Trinity College Dublin, Dublin 2, IRELAND
// All rights reserved
//=========================================================================
// Author: Eamonn M. Kenny, William O' Brien
// Previous Project: FMW/ARG (vector.hh)
// Project: STIWRO
// Project Manager: Dr. Peter J. Cullen
// Last Modification: October 2001
// Software Tool Version: 1.0
//=========================================================================
#include "point3d.hh"
CPoint3d& CPoint3d::operator=( const CPoint3d& v1 )
{
x = v1.x;
y = v1.y;
z = v1.z;
return *this;
}
CPoint3d::CPoint3d( const CPoint3d& v1 )
{
x = v1.x;
y = v1.y;
z = v1.z;
}
boolean CPoint3d::operator==( const CPoint3d& v1 ) const
{
if ( fabs( x - v1.x ) < TOL )
if ( fabs( y - v1.y ) < TOL )
if ( fabs( z - v1.z ) < TOL )
return true;
return false;
}
boolean CPoint3d::operator!=( const CPoint3d& v1 ) const
{
if ( *this == v1 )
return false;
return true;
}
CPoint3d CPoint3d::operator-( const CPoint3d& v1 ) const
{
CPoint3d v2;
v2.x = x - v1.x;
v2.y = y - v1.y;
v2.z = z - v1.z;
return v2;
}
CPoint3d CPoint3d::operator^( const CPoint3d& v1 ) const
{
CPoint3d v2(0, 0, 0);
v2.x = y * v1.z - z * v1.y;
v2.y = z * v1.x - x * v1.z;
v2.z = x * v1.y - y * v1.x;
return v2;
}
CPoint3d CPoint3d::operator+( const CPoint3d& v1 ) const
{
CPoint3d v2;
v2.x = x + v1.x;
v2.y = y + v1.y;
v2.z = z + v1.z;
return v2;
}
CPoint3d CPoint3d::operator*( const double& dd ) const
{
CPoint3d v;
v.x = x * dd;
v.y = y * dd;
v.z = z * dd;
return v;
}
double CPoint3d::operator*( const CPoint3d& v ) const
{
return( x * v.x + y * v.y + z * v.z );
}
CPoint3d CPoint3d::operator/( const double& dd ) const
{
CPoint3d v;
v.x = x / dd;
v.y = y / dd;
v.z = z / dd;
return v;
}
double CPoint3d::cosAngle( const CPoint3d& v )
{
CPoint3d r, s;
r = unitVector();
s = v.unitVector();
return r * s;
}
double CPoint3d::angle( const CPoint3d& v )
{
return ( acos( cosAngle( v ) ) );
}
double CPoint3d::angleXY()
{
double d;
d = atan2( y, x );
if ( d < 0.0 )
return d + TwoPi;
else
return d;
}
double CPoint3d::angleZX()
{
double d;
d = atan2( x, z );
if ( d < 0.0 )
return d + TwoPi;
else
return d;
}
double CPoint3d::angleYZ()
{
double d;
d = atan2( z, y );
if ( d < 0.0 )
return d + TwoPi;
else
return d;
}
double CPoint3d::abs() const
{
return ( sqrt( x * x + y * y + z * z ) );
}
CPoint3d CPoint3d::unitVector() const
{
CPoint3d p2;
p2 = *this / ( this->abs() );
return p2;
}
double CPoint3d::abs( const CPoint3d& p ) const
{
return ( sqrt( qsqr(x-p.x) + qsqr(y-p.y) + qsqr(z-p.z) ) );
}
ostream& operator<<( ostream& s, const CPoint3d& v )
{
return s << " " << v.x << " " << v.y << " " << v.z;
}
istream& operator>>( istream& s, CPoint3d& v )
{
char TempString[80];
int Length;
do
{
s.getline( TempString, 78 );
} while ( ( Length = strlen(TempString) ) == 0 );
TempString[Length] = '\0';
characterStringToPoint( v, TempString );
return s;
}
boolean characterStringToPoint( CPoint3d& v, char* CPoint3dString )
{
char temp[80];
int Length;
int i, j, k;
boolean Completed;
v = CPoint3d( 0.0, 0.0, 0.0 );
j = 0;
k = 0;
Completed = false;
Length = strlen( CPoint3dString );
if ( Length < 4 )
{
cerr << "String read error: Reading again: [" << CPoint3dString << "]"
<< endl;
return ( false );
}
for ( i = 0; i < Length; i++ )
{
if ( CPoint3dString[i] != '(' && CPoint3dString[i] != ','
&& CPoint3dString[i] != ')' && CPoint3dString[i] != ' ' )
{
temp[j] = CPoint3dString[i];
j++;
}
else if (j == 0)
{
// do nothing
}
else
{
k++;
temp[j] = '\0';
if ( k == 1 ) v.x = atof( temp );
else if ( k == 2 ) v.y = atof( temp );
else if ( k == 3 ) v.z = atof( temp );
j = 0;
temp[0] = '\0';
}
if (k == 3)
{
i = Length; //terminate loop
Completed = true;
}
}
if ( Completed == false )
cerr << "String read error: Reading again: [" << CPoint3dString << "]"
<< endl;
return Completed;
}
void CPoint3d::orthogonalVectors( CPoint3d& perp, CPoint3d& parallel )
{
double tanAngle;
if ( fabs(y) < TOL && fabs(z) < TOL )
{
perp = CPoint3d( 0.0, 1.0, 0.0 );
parallel = CPoint3d( 0.0, 0.0, 1.0 ) * sign(x);
}
else if ( fabs(x) < TOL && fabs(z) < TOL )
{
perp = CPoint3d( 0.0, 0.0, 1.0 );
parallel = CPoint3d( 1.0, 0.0, 0.0 ) * sign(y);
}
else if ( fabs(x) < TOL && fabs(y) < TOL )
{
perp = CPoint3d( 1.0, 0.0, 0.0 );
parallel = CPoint3d( 0.0, 1.0, 0.0 ) * sign(z);
}
else if ( fabs( x ) < TOL )
{
perp = CPoint3d( 1.0, 0.0, 0.0 );
parallel = *this ^ perp;
}
else if ( fabs( y ) < TOL )
{
perp = CPoint3d( 0.0, 1.0, 0.0 );
parallel = *this ^ perp;
}
else if ( fabs( z ) < TOL )
{
perp = CPoint3d( 0.0, 0.0, 1.0 );
parallel = *this ^ perp;
}
else
{
if ( x == 0.0 || y == 0.0 )
{
cerr << "can not make orthogonal vectors" << endl;
exit(1);
}
tanAngle = y / x;
perp = CPoint3d( x * tanAngle, y / tanAngle, z );
perp = perp.unitVector();
parallel = *this ^ perp;
}
if ( fabs( perp.abs()-1.0 ) > TOL || fabs( perp.abs()-1.0 ) > TOL )
{
cerr << "Orthogonal vectors are not unit vectors" << endl;
exit(1);
}
}