Param1FunctionInt.h

//===========================================================================
// GoTools - SINTEF Geometry Tools
//
// GoTools module: Intersections, version 1.0
//
// Copyright (C) 2000-2007 SINTEF ICT, Applied Mathematics, Norway.
//
// 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 version 2 of the License. 
//
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// 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.                           
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// along with this program; if not, write to the Free Software            
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// SINTEF ICT, Department of Applied Mathematics,                         
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//===========================================================================
#ifndef _PAR1FUNCINT_H
#define _PAR1FUNCINT_H


#include "ParamFunctionInt.h"
#include "ParamCurve.h"


namespace Go {




class Param1FunctionInt : public ParamFunctionInt {
public:
    explicit Param1FunctionInt(boost::shared_ptr<ParamCurve> curve);

    explicit Param1FunctionInt(boost::shared_ptr<ParamCurve> curve, 
                               ParamFunctionInt *parent);

    virtual ~Param1FunctionInt();

    virtual void point(Point& res, const double *par) const
    { curve_->point(res, par[0]); }

    virtual void point(std::vector<Point>& res, double par, int der)
    { curve_->point(res, par, der); }

    virtual void point(std::vector<Point>& pt, 
                       const double* tpar, 
                       int derivs,  
                       const bool* from_right = 0,
                       double resolution = 1.0e-12) const
    {
        bool fr = (from_right != 0) ? from_right[0] : true;
        pt = curve_->point(*tpar, derivs, fr);
    }

    virtual Param1FunctionInt* getParam1FunctionInt();

    boost::shared_ptr<ParamCurve> getParamCurve();
    boost::shared_ptr<const ParamCurve> getParamCurve() const;

    boost::shared_ptr<ParamCurve> getParentParamCurve(double& start,
                                                      double& end);
    boost::shared_ptr<ParamCurve> getParentParamCurve();

    virtual boost::shared_ptr<Param1FunctionInt> 
    makeIntFunction(boost::shared_ptr<ParamCurve> curve);
    
    virtual int numParams() const;

    virtual void getLengthAndWiggle(double *length, double *wiggle);

    virtual bool hasInnerKnots(int pardir) const;

    virtual bool hasCriticalVals(int pardir) const;

    virtual bool hasCriticalValsOrKnots(int pardir) const;

    virtual bool canDivide(int pardir);

    virtual std::vector<double> getCriticalVals(int pardir) const;

    virtual std::vector<double> getInnerKnotVals(int pardir,
                                                 bool sort = false) const;

    virtual std::vector<double> getCriticalValsAndKnots(int pardir) const;

    virtual int getMeshSize(int dir);

    virtual double paramFromMesh(int dir, int idx);

    virtual std::vector<double>::iterator getMesh();

    virtual double startParam(int pardir) const
    { return curve_->startparam(); }

    virtual double endParam(int pardir) const
    { return curve_->endparam(); }

    virtual bool boundaryPoint(const double* par, double eps) const;

    virtual void subdivide(int pardir, double par, 
                           std::vector<boost::
                           shared_ptr<ParamFunctionInt> >& subdiv_objs,
                           std::vector<boost::
                           shared_ptr<ParamFunctionInt> >& bd_objs);

    // Accepts non-strict monotonicity, as long as sf is not totally
    // flat.
    virtual bool monotone(Point& dir, double tol=1.0e-15) const; // = 0;

    virtual CompositeBox compositeBox() const;

    virtual void 
    getBoundaryObjects(std::vector<boost::
                       shared_ptr<BoundaryFunctionInt> >& bd_objs);

    int dimension()
    { return dim_; }

    double startparam() const
    { return curve_->startparam(); }
    double endparam() const
    { return curve_->endparam(); }

    // Functions used from coincidence checking

    void assureInRange(double& t);
 
    virtual int knotIntervalFuzzy(double& t, double tol) const;
    
    virtual double nextSegmentVal(double par, bool forward) const;

    virtual bool isDegenerate(double epsge, int dir, double *par);

protected:

    // Data members
    // The curve defining the parameter domain.
    // However it need not be 1d, could be part of a composite
    // function.
    // Other parts of the curve (as well as evaluators) will then lie
    // in a subclass.
    boost::shared_ptr<ParamCurve> curve_; // Our param curve (R->R).

    int dim_; // Space dimension. 1.

    Param1FunctionInt *parentcurve_; // @@sbr Or surface ... Currently cv.

    std::vector<std::pair<double, int> > segment_;

    // Approximating polygon
    mutable std::vector<double> mesh_;

    double deg_tol_; // Object should not be subdivided if it is
                     // already degenerate.

private:
    // Make approximating polygon
    void makeMesh(int size);

};


} // namespace Go


#endif // _PAR1FUNCINT_H

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