SectionPowerEllipse.cpp

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/*=============================================================================
TexGen: Geometric textile modeller.
Copyright (C) 2006 Martin Sherburn
 
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., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
=============================================================================*/
 
#include "PrecompiledHeaders.h"
#include "SectionPowerEllipse.h"
using namespace TexGen;
 
CSectionPowerEllipse::CSectionPowerEllipse(double dWidth, double dHeight, double dPower, double dXOffset)
: m_dWidth(dWidth)
, m_dHeight(dHeight)
, m_dPower(dPower)
, m_dXOffset(dXOffset)
{
}
 
CSectionPowerEllipse::~CSectionPowerEllipse(void)
{
}
 
bool CSectionPowerEllipse::operator == (const CSection &CompareMe) const
{
    if (CompareMe.GetType() != GetType())
        return false;
    return m_dWidth == ((CSectionPowerEllipse*)&CompareMe)->m_dWidth &&
        m_dHeight == ((CSectionPowerEllipse*)&CompareMe)->m_dHeight &&
        m_dPower == ((CSectionPowerEllipse*)&CompareMe)->m_dPower &&
        m_dXOffset == ((CSectionPowerEllipse*)&CompareMe)->m_dXOffset;
}
 
CSectionPowerEllipse::CSectionPowerEllipse(TiXmlElement &Element)
: CSection(Element)
{
    Element.Attribute("Width", &m_dWidth);
    Element.Attribute("Height", &m_dHeight);
    Element.Attribute("Power", &m_dPower);
    Element.Attribute("XOffset", &m_dXOffset);
}
 
void CSectionPowerEllipse::PopulateTiXmlElement(TiXmlElement &Element, OUTPUT_TYPE OutputType) const
{
    CSection::PopulateTiXmlElement(Element, OutputType);
    Element.SetAttribute("Width", stringify(m_dWidth));
    Element.SetAttribute("Height", stringify(m_dHeight));
    Element.SetAttribute("Power", stringify(m_dPower));
    Element.SetAttribute("XOffset", stringify(m_dXOffset));
}
 
XY CSectionPowerEllipse::GetPoint(double t) const
{   
    double dX, dY;
    if ( t <= 0.25 || t >= 0.75 )
        dX = (0.5*m_dWidth - m_dXOffset)*cos(t*2*PI) + m_dXOffset;
    else
        dX = (0.5*m_dWidth + m_dXOffset)*cos(t*2*PI) + m_dXOffset;
 
    if ( t <= 0.5 )
        dY = 0.5*m_dHeight*pow(sin(t*2*PI), m_dPower);
    else
        dY = -0.5*m_dHeight*pow(-sin(t*2*PI), m_dPower);
 
    return XY( dX, dY );
 
    /*if (t <= 0.5)
        return XY(0.5*m_dWidth*cos(t*2*PI), 0.5*m_dHeight*pow(sin(t*2*PI), m_dPower));
    else
        return XY(0.5*m_dWidth*cos(t*2*PI), -0.5*m_dHeight*pow(-sin(t*2*PI), m_dPower));*/
}
 
string CSectionPowerEllipse::GetDefaultName() const
{
    return "PowerEllipse(W:" + stringify(m_dWidth) + ",H:" + stringify(m_dHeight) + ",P:" + stringify(m_dPower) + ")";
}
 
double CSectionPowerEllipse::GetTangent( double t ) const
{
    if ( t <= 0.25 )
    {
        return( (m_dHeight * m_dPower * cos(t*2*PI) * pow(sin(t*2*PI), m_dPower-2)) / ( -2.0 * (0.5*m_dWidth - m_dXOffset)) );
    }
    else if ( t > 0.25 && t <= 0.5 )
    {
        return( (m_dHeight * m_dPower * cos(t*2*PI) * pow(sin(t*2*PI), m_dPower-2)) / ( -2.0 * (0.5*m_dWidth + m_dXOffset)) );
    }
    else if ( t > 0.5 && t < 0.75 )
    {
        return( (m_dHeight * m_dPower * cos(t*2*PI) * pow(-sin(t*2*PI), m_dPower-1)) / ( -2.0 * (0.5*m_dWidth + m_dXOffset) * sin(t*2*PI)) );
    }
    else
    {
        return( (m_dHeight * m_dPower * cos(t*2*PI) * pow(-sin(t*2*PI), m_dPower-1)) / ( -2.0 * (0.5*m_dWidth - m_dXOffset) * sin(t*2*PI)) );
    }
}