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191 lines
6.9 KiB
191 lines
6.9 KiB
/**
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This file is part of Kig, a KDE program for Interactive Geometry...
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Copyright (C) 2002 Maurizio Paolini <paolini@dmf.unicatt.it>
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Copyright (C) 2003 Dominique Devriese <devriese@kde.org>
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program; if not, write to the Free Software
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Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301
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USA
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**/
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#ifndef KIG_MISC_KIGTRANSFORM_H
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#define KIG_MISC_KIGTRANSFORM_H
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#include "coordinate.h"
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#include <vector>
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class LineData;
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/**
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* Class representing a transformation. More specifically, this class
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* represents a pretty generic 2-dimensional transformation. Various
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* common transformations can be used. Construct a Transformation by
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* using one of its static members, and use it either with its
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* Transformation::apply method, or the ObjectImp::transform method.
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*/
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class Transformation
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{
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double mdata[3][3];
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bool mIsHomothety;
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bool mIsAffine;
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Transformation();
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public:
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~Transformation();
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Transformation( double data[3][3], bool ishomothety );
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/**
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* Apply this Tranformation. Apply this transformation to the
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* Coordinate c. Can return an invalid Coordinate.
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* apply0 assumes that c indicates a point at infinity, having
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* [0, c.x, c.y] as homogeneous coordinates
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*/
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const Coordinate apply( const double x0, const double x1, const double x2 ) const;
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const Coordinate apply( const Coordinate& c ) const;
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const Coordinate apply0( const Coordinate& c ) const;
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/**
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* Returns whether this is a homothetic (affine) transformation.
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*/
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bool isHomothetic() const;
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bool isAffine() const;
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double getProjectiveIndicator( const Coordinate& c ) const;
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double getAffineDeterminant() const;
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double getRotationAngle() const;
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const Coordinate apply2by2only( const Coordinate& c ) const;
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/**
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* \ifnot creating-python-scripting-doc
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* a homothetic transformation maintains the ratio's of lengths.
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* This means that every length is multiplied by a fixed number when
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* it is projected... This function does that calculation for
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* you..
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* \endif
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*/
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double apply( double length ) const;
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double data( int r, int c ) const;
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/**
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* The inverse Transformation. Returns the inverse Transformation
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* of this Transformation.
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*/
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const Transformation inverse( bool& valid ) const;
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/**
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* Identity. Returns the Identity Transformation, i.e. a
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* Transformation that doesn't do anything.
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*/
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static const Transformation identity();
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/**
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* Scaling over Point. Returns a Transformation that scales points
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* by a certain factor with relation to a center point.
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*/
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static const Transformation scalingOverPoint( double factor, const Coordinate& center = Coordinate() );
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/**
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* Scaling over Line. Returns a Transformation that scales points
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* by a certain factor with relation to a line. Note: This is not a
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* homothetic transformation.
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*/
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static const Transformation scalingOverLine( double factor, const LineData& l );
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/**
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* Translation. Returns a Translation by a vector c.
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*/
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static const Transformation translation( const Coordinate& c );
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/**
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* Rotation. Returns a Rotation by a certain angle, around a
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* certain center.
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*/
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static const Transformation rotation( double angle, const Coordinate& center = Coordinate() );
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/**
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* Point Reflection. Returns a reflection over a point
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* \note This equals scaling( -1, c );
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*/
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static const Transformation pointReflection( const Coordinate& c );
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/**
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* Line Reflection. Returns a reflection over a line
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* \note This equals scaling( -1, l );
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*/
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static const Transformation lineReflection( const LineData& l );
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/**
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* Harmonic Homology. Returns a Transformation that transforms points in
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* such a way that it appears to cast a shadow, given a certain
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* light source (center), and a line (axis) indicating a plane.
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*/
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static const Transformation harmonicHomology( const Coordinate& center,
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const LineData& axis );
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/**
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* Affinity given the image of 3 points. Returns the unique
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* affinity that transforms 3 given points into 3 given points.
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*/
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static const Transformation affinityGI3P(
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const std::vector<Coordinate>& FromPoints,
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const std::vector<Coordinate>& ToPoints,
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bool& valid );
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/**
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* Projectivity given the image of 4 points. Returns the unique
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* projectivity that transforms 4 given points into 4 given points.
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*/
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static const Transformation projectivityGI4P(
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const std::vector<Coordinate>& FromPoints,
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const std::vector<Coordinate>& ToPoints,
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bool& valid );
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/**
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* Cast Shadow. Returns a Transformation that transforms points in
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* such a way that it appears to cast a shadow, given a certain
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* light source, and a line indicating a plane.
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*/
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static const Transformation castShadow( const Coordinate& ls,
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const LineData& d );
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/**
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* Projective Rotation. This is really only a test example of a
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* projective non-affine transformation...
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*/
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static const Transformation projectiveRotation( double alpha,
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const Coordinate& d,
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const Coordinate& t );
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/**
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* Similitude. Sequence of a rotation and a scaling with relation
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* to a certain center.
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*/
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static const Transformation similitude(
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const Coordinate& center, double theta, double factor );
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/**
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* Sequence. This creates a Transformation that executes first
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* transformation b, and then a.
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*/
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friend const Transformation operator*( const Transformation& a, const Transformation& b );
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/**
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* Equality. Tests two Transformation's for equality.
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*/
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friend bool operator==( const Transformation& lhs, const Transformation& rhs );
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};
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const Transformation operator*( const Transformation&, const Transformation& );
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bool operator==( const Transformation& lhs, const Transformation& rhs );
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// enum tWantArgsResult { tComplete, tNotComplete, tNotGood };
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// Transformation getProjectiveTransformation(
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// int transformationsnum, Object *mtransformations[],
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// bool& valid );
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// tWantArgsResult WantTransformation ( Objects::const_iterator& i,
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// const Objects& os );
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// QString getTransformMessage ( const Objects& os, const Object *o );
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// bool isHomoteticTransformation ( double transformation[3][3] );
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#endif // KIG_MISC_KIGTRANSFORM_H
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