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diff --git a/kig/objects/conic_imp.cc b/kig/objects/conic_imp.cc
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+// Copyright (C) 2003 Dominique Devriese <devriese@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.
+
+// 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 "conic_imp.h"
+
+#include "bogus_imp.h"
+#include "point_imp.h"
+
+#include "../misc/kigpainter.h"
+#include "../misc/common.h"
+#include "../misc/coordinate_system.h"
+
+#include "../kig/kig_document.h"
+#include "../kig/kig_view.h"
+
+#include <klocale.h>
+
+ObjectImp* ConicImp::transform( const Transformation& t ) const
+{
+ bool valid = true;
+ ConicCartesianData d = calcConicTransformation( cartesianData(), t, valid );
+ if ( ! valid ) return new InvalidImp;
+ else return new ConicImpCart( d );
+}
+
+void ConicImp::draw( KigPainter& p ) const
+{
+ p.drawCurve( this );
+}
+
+bool ConicImp::valid() const
+{
+ return true;
+}
+
+bool ConicImp::contains( const Coordinate& o, int width, const KigWidget& w ) const
+{
+ return internalContainsPoint( o, w.screenInfo().normalMiss( width ) );
+}
+
+bool ConicImp::inRect( const Rect&, int, const KigWidget& ) const
+{
+ // TODO
+ return false;
+}
+
+const uint ConicImp::numberOfProperties() const
+{
+ return Parent::numberOfProperties() + 5;
+}
+
+const QCStringList ConicImp::propertiesInternalNames() const
+{
+ QCStringList l = Parent::propertiesInternalNames();
+ l << "type";
+ l << "first-focus";
+ l << "second-focus";
+ l << "cartesian-equation";
+ l << "polar-equation";
+ assert( l.size() == ConicImp::numberOfProperties() );
+ return l;
+}
+
+const QCStringList ConicImp::properties() const
+{
+ QCStringList l = Parent::properties();
+ l << I18N_NOOP( "Conic Type" );
+ l << I18N_NOOP( "First Focus" );
+ l << I18N_NOOP( "Second Focus" );
+ l << I18N_NOOP( "Cartesian Equation" );
+ l << I18N_NOOP( "Polar Equation" );
+ assert( l.size() == ConicImp::numberOfProperties() );
+ return l;
+}
+
+const ObjectImpType* ConicImp::impRequirementForProperty( uint which ) const
+{
+ if ( which < Parent::numberOfProperties() )
+ return Parent::impRequirementForProperty( which );
+ else return ConicImp::stype();
+}
+
+const char* ConicImp::iconForProperty( uint which ) const
+{
+ int pnum = 0;
+ if ( which < Parent::numberOfProperties() )
+ return Parent::iconForProperty( which );
+ if ( which == Parent::numberOfProperties() + pnum++ )
+ return "kig_text"; // conic type string
+ else if ( which == Parent::numberOfProperties() + pnum++ )
+ return ""; // focus1
+ else if ( which == Parent::numberOfProperties() + pnum++ )
+ return ""; // focus2
+ else if ( which == Parent::numberOfProperties() + pnum++ )
+ return "kig_text"; // cartesian equation string
+ else if ( which == Parent::numberOfProperties() + pnum++ )
+ return "kig_text"; // polar equation string
+ else assert( false );
+ return "";
+}
+
+ObjectImp* ConicImp::property( uint which, const KigDocument& w ) const
+{
+ int pnum = 0;
+
+ if ( which < Parent::numberOfProperties() )
+ return Parent::property( which, w );
+ if ( which == Parent::numberOfProperties() + pnum++ )
+ return new StringImp( conicTypeString() );
+ else if ( which == Parent::numberOfProperties() + pnum++ )
+ return new PointImp( focus1() );
+ else if ( which == Parent::numberOfProperties() + pnum++ )
+ return new PointImp( focus2() );
+ else if ( which == Parent::numberOfProperties() + pnum++ )
+ return new StringImp( cartesianEquationString( w ) );
+ else if ( which == Parent::numberOfProperties() + pnum++ )
+ return new StringImp( polarEquationString( w ) );
+ else assert( false );
+ return new InvalidImp;
+}
+
+double ConicImp::getParam( const Coordinate& p, const KigDocument& ) const
+{
+ const ConicPolarData d = polarData();
+ Coordinate tmp = p - d.focus1;
+ double l = tmp.length();
+ double theta = atan2(tmp.y, tmp.x);
+ double costheta = cos(theta);
+ double sintheta = sin(theta);
+ double ecosthetamtheta0 = costheta*d.ecostheta0 + sintheta*d.esintheta0;
+ double esinthetamtheta0 = sintheta*d.ecostheta0 - costheta*d.esintheta0;
+ double oneplus = 1.0 + d.ecostheta0*d.ecostheta0 + d.esintheta0*d.esintheta0;
+ double fact = esinthetamtheta0*(1.0 - ecosthetamtheta0)/(oneplus - 2*ecosthetamtheta0);
+// fact is sin(a)*cos(a) where a is the angle between the ray from the first
+// focus and the normal to the conic. We need it in order to adjust the
+// angle according to the projection onto the conic of our point
+ double rho1 = d.pdimen / (1 - ecosthetamtheta0);
+ double rho2 = - d.pdimen / (1 + ecosthetamtheta0);
+ if (fabs(rho1 - l) < fabs(rho2 - l))
+ {
+ theta += (rho1 - l)*fact/rho1;
+ return fmod(theta / ( 2 * M_PI ) + 1, 1);
+ } else {
+ theta += (rho2 - l)*fact/rho2;
+ return fmod(theta / ( 2 * M_PI ) + 0.5, 1);
+ }
+}
+
+const Coordinate ConicImp::getPoint( double p, const KigDocument& ) const
+{
+ const ConicPolarData d = polarData();
+
+ double costheta = cos(p * 2 * M_PI);
+ double sintheta = sin(p * 2 * M_PI);
+ double rho = d.pdimen / (1 - costheta* d.ecostheta0 - sintheta* d.esintheta0);
+ return d.focus1 + Coordinate (costheta, sintheta) * rho;
+}
+
+int ConicImp::conicType() const
+{
+ const ConicPolarData d = polarData();
+ double ec = d.ecostheta0;
+ double es = d.esintheta0;
+ double esquare = ec*ec + es*es;
+ const double parabolamiss = 1e-3; // don't know what a good value could be
+
+ if (esquare < 1.0 - parabolamiss) return 1;
+ if (esquare > 1.0 + parabolamiss) return -1;
+
+ return 0;
+}
+
+QString ConicImp::conicTypeString() const
+{
+ switch (conicType())
+ {
+ case 1:
+ return i18n("Ellipse");
+ case -1:
+ return i18n("Hyperbola");
+ case 0:
+ return i18n("Parabola");
+ default:
+ assert( false );
+ return "";
+ }
+}
+
+QString ConicImp::cartesianEquationString( const KigDocument& ) const
+{
+ QString ret = i18n( "%1 x² + %2 y² + %3 xy + %4 x + %5 y + %6 = 0" );
+ ConicCartesianData data = cartesianData();
+ ret = ret.arg( data.coeffs[0], 0, 'g', 3 );
+ ret = ret.arg( data.coeffs[1], 0, 'g', 3 );
+ ret = ret.arg( data.coeffs[2], 0, 'g', 3 );
+ ret = ret.arg( data.coeffs[3], 0, 'g', 3 );
+ ret = ret.arg( data.coeffs[4], 0, 'g', 3 );
+ ret = ret.arg( data.coeffs[5], 0, 'g', 3 );
+ return ret;
+}
+
+QString ConicImp::polarEquationString( const KigDocument& w ) const
+{
+ QString ret = i18n( "rho = %1/(1 + %2 cos theta + %3 sin theta)\n [centered at %4]" );
+ const ConicPolarData data = polarData();
+
+ ret = ret.arg( data.pdimen, 0, 'g', 3 );
+ ret = ret.arg( -data.ecostheta0, 0, 'g', 3 );
+ ret = ret.arg( -data.esintheta0, 0, 'g', 3 );
+
+ ret = ret.arg( w.coordinateSystem().fromScreen( data.focus1, w ) );
+ return ret;
+}
+
+const ConicCartesianData ConicImp::cartesianData() const
+{
+ return ConicCartesianData( polarData() );
+}
+
+Coordinate ConicImp::focus1() const
+{
+ return polarData().focus1;
+}
+
+Coordinate ConicImp::focus2() const
+{
+ const ConicPolarData d = polarData();
+ double ec = d.ecostheta0;
+ double es = d.esintheta0;
+
+ double fact = 2*d.pdimen/(1 - ec*ec - es*es);
+
+ return d.focus1 + fact*Coordinate(ec, es);
+}
+
+const ConicPolarData ConicImpCart::polarData() const
+{
+ return mpolardata;
+}
+
+const ConicCartesianData ConicImpCart::cartesianData() const
+{
+ return mcartdata;
+}
+
+ConicImpCart::ConicImpCart( const ConicCartesianData& data )
+ : ConicImp(), mcartdata( data ), mpolardata( data )
+{
+ assert( data.valid() );
+}
+
+ConicImpPolar::ConicImpPolar( const ConicPolarData& data )
+ : ConicImp(), mdata( data )
+{
+}
+
+ConicImpPolar::~ConicImpPolar()
+{
+}
+
+const ConicPolarData ConicImpPolar::polarData() const
+{
+ return mdata;
+}
+
+ConicImpCart* ConicImpCart::copy() const
+{
+ return new ConicImpCart( mcartdata );
+}
+
+ConicImpPolar* ConicImpPolar::copy() const
+{
+ return new ConicImpPolar( mdata );
+}
+
+ConicImp::ConicImp()
+{
+}
+
+ConicImp::~ConicImp()
+{
+}
+
+ConicImpCart::~ConicImpCart()
+{
+}
+
+void ConicImp::visit( ObjectImpVisitor* vtor ) const
+{
+ vtor->visit( this );
+}
+
+bool ConicImp::equals( const ObjectImp& rhs ) const
+{
+ return rhs.inherits( ConicImp::stype() ) &&
+ static_cast<const ConicImp&>( rhs ).polarData() == polarData();
+}
+
+const ObjectImpType* ConicImp::stype()
+{
+ static const ObjectImpType t(
+ Parent::stype(), "conic",
+ I18N_NOOP( "conic" ),
+ I18N_NOOP( "Select this conic" ),
+ I18N_NOOP( "Select conic %1" ),
+ I18N_NOOP( "Remove a Conic" ),
+ I18N_NOOP( "Add a Conic" ),
+ I18N_NOOP( "Move a Conic" ),
+ I18N_NOOP( "Attach to this conic" ),
+ I18N_NOOP( "Show a Conic" ),
+ I18N_NOOP( "Hide a Conic" )
+ );
+ return &t;
+}
+
+const ObjectImpType* ConicImp::type() const
+{
+ return ConicImp::stype();
+}
+
+bool ConicImp::containsPoint( const Coordinate& p, const KigDocument& ) const
+{
+ const ConicPolarData d = polarData();
+
+// the threshold is relative to the size of the conic (mp)
+ return internalContainsPoint( p, test_threshold*d.pdimen );
+}
+
+bool ConicImp::internalContainsPoint( const Coordinate& p, double threshold ) const
+{
+ const ConicPolarData d = polarData();
+
+ Coordinate focus1 = d.focus1;
+ double ecostheta0 = d.ecostheta0;
+ double esintheta0 = d.esintheta0;
+ double pdimen = d.pdimen;
+
+ Coordinate pos = p - focus1;
+ double len = pos.length();
+ double costheta = pos.x / len;
+ double sintheta = pos.y / len;
+
+ double ecosthetamtheta0 = costheta*ecostheta0 + sintheta*esintheta0;
+ double rho = pdimen / (1.0 - ecosthetamtheta0);
+
+ double oneplus = 1.0 + ecostheta0*ecostheta0 + esintheta0*esintheta0;
+
+// fact is the cosine of the angle between the ray from the first focus
+// and the normal to the conic, so that we compute the real distance
+
+ double fact = (1.0 - ecosthetamtheta0)/sqrt(oneplus - 2*ecosthetamtheta0);
+ if ( fabs((len - rho)*fact) <= threshold ) return true;
+ rho = - pdimen / ( 1.0 + ecosthetamtheta0 );
+ fact = (1.0 + ecosthetamtheta0)/sqrt(oneplus + 2*ecosthetamtheta0);
+ return fabs(( len - rho )*fact) <= threshold;
+}
+
+bool ConicImp::isPropertyDefinedOnOrThroughThisImp( uint which ) const
+{
+ if ( which < Parent::numberOfProperties() )
+ return Parent::isPropertyDefinedOnOrThroughThisImp( which );
+ return false;
+}
+
+Rect ConicImp::surroundingRect() const
+{
+ // it's prolly possible to calculate this ( in the case that the
+ // conic is limited in size ), but for now we don't.
+
+ return Rect::invalidRect();
+}