ecl_geometry: cubic_spline.hpp Source File

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00001 
00008 /*****************************************************************************
00009 ** Ifdefs
00010 *****************************************************************************/
00011 
00012 #ifndef ECL_GEOMETRY_CUBIC_SPLINE_HPP_
00013 #define ECL_GEOMETRY_CUBIC_SPLINE_HPP_
00014 
00015 /*****************************************************************************
00016 ** Includes
00017 *****************************************************************************/
00018 
00019 #include "polynomial.hpp"
00020 #include <ecl/config/macros.hpp>
00021 #include <ecl/concepts/macros.hpp>
00022 #include <ecl/concepts/streams.hpp>
00023 #include <ecl/concepts/containers.hpp>
00024 #include <ecl/containers/array.hpp>
00025 #include <ecl/exceptions/standard_exception.hpp>
00026 #include <ecl/utilities/blueprints.hpp>
00027 
00028 /*****************************************************************************
00029 ** Namespaces
00030 *****************************************************************************/
00031 
00032 namespace ecl {
00033 
00034 /*****************************************************************************
00035 ** Forward Declarations
00036 *****************************************************************************/
00037 
00038 class CubicSpline;
00039 
00040 namespace blueprints {
00041 
00042 class C2CubicSpline;
00043 class DerivativeHeuristicCubicSpline;
00044 
00045 } // namespace blueprints
00046 
00047 /*****************************************************************************
00048 ** BluePrintFactory
00049 *****************************************************************************/
00058 template<>
00059 class ECL_PUBLIC BluePrintFactory< CubicSpline > {
00060     public:
00072         static blueprints::C2CubicSpline Natural(const Array<double>& x_set, const Array<double>& y_set);
00085         static blueprints::C2CubicSpline ContinuousDerivatives(
00086                 const Array<double>& x_set, const Array<double>& y_set, const double ydot_0, const double ydot_f);
00100         static blueprints::DerivativeHeuristicCubicSpline DerivativeHeuristic(
00101                 const Array<double>& x_set, const Array<double>& y_set, const double ydot_0, const double ydot_f);
00102 
00103         virtual ~BluePrintFactory() {}
00104 };
00105 
00106 /*****************************************************************************
00107 ** Interface [CubicSpline]
00108 *****************************************************************************/
00123 class ECL_PUBLIC CubicSpline : public BluePrintFactory< CubicSpline > {
00124     public:
00125         /******************************************
00126         ** Constructors
00127         *******************************************/
00133         CubicSpline () {};
00160         template<typename Derived>
00161         CubicSpline(const BluePrint< Derived > &blueprint) {
00162             blueprint.implementApply(*this);
00163         }
00164         virtual ~CubicSpline () {};
00165 
00166         /******************************************
00167         ** Access
00168         *******************************************/
00169         friend class blueprints::DerivativeHeuristicCubicSpline;
00170         friend class blueprints::C2CubicSpline;
00179         double operator()(const double &x) const ecl_assert_throw_decl(StandardException);
00188         double derivative(double x) const ecl_assert_throw_decl(StandardException);
00197         double dderivative(double x) const ecl_assert_throw_decl(StandardException);
00198 
00206         const Array<double>& domain() { return discretised_domain; }
00215         const Array<CubicPolynomial>& polynomials() { return cubic_polynomials; }
00216 
00217         /******************************************
00218         ** Streaming
00219         *******************************************/
00231         template <typename OutputStream>
00232         friend OutputStream& operator << (OutputStream &ostream, const CubicSpline &cubic_spline);
00233 
00234     private:
00235         Array<double> discretised_domain;      // N+1 x_i's
00236         // Would normally use pointers here, but the polynomials have fixed storage
00237         // size, the copy cost is small and the access times will be faster this way.
00238         Array<CubicPolynomial> cubic_polynomials;   // N polynomials
00239 };
00240 
00241 /*****************************************************************************
00242 ** Implementation [CubicSpline][Streaming]
00243 *****************************************************************************/
00244 
00245 template <typename OutputStream>
00246 OutputStream& operator << (OutputStream &ostream, const CubicSpline &cubic_spline) {
00247 
00248         ecl_compile_time_concept_check(StreamConcept<OutputStream>);
00249 
00250     for ( unsigned int i = 0; i < cubic_spline.cubic_polynomials.size(); ++i ) {
00251         ostream << cubic_spline.cubic_polynomials[i] << "\n";
00252     }
00253     ostream.flush();
00254     return ostream;
00255 }
00256 
00257 /*****************************************************************************
00258 ** BluePrints
00259 *****************************************************************************/
00260 
00261 namespace blueprints {
00262 
00263 /*****************************************************************************
00264 ** Interface [C2CubicSpline]
00265 *****************************************************************************/
00266 
00276 class ECL_PUBLIC C2CubicSpline : public ecl::BluePrint<C2CubicSpline> {
00277     public:
00281         typedef ecl::CubicSpline base_type;
00287         C2CubicSpline() {};
00288 
00301         C2CubicSpline(const ecl::Array<double>& x_set, const ecl::Array<double>& y_set,
00302                                         const double ydot_0, const double ydot_f) ecl_assert_throw_decl(ecl::StandardException);
00303 
00304         virtual ~C2CubicSpline() {};
00318         C2CubicSpline(const ecl::Array<double>& x_set, const ecl::Array<double>& y_set) ecl_assert_throw_decl(ecl::StandardException);
00319 
00327         ecl::CubicSpline instantiate();
00328 
00336         void apply(ecl::CubicSpline& spline) const;
00337 
00338     private:
00339         ecl::Array<double> x_data;
00340         ecl::Array<double> y_data;
00341         ecl::Array<double> yddot_data;
00342 };
00343 
00344 /*****************************************************************************
00345 ** Interface [DerivativeHeuristicCubicSpline]
00346 *****************************************************************************/
00347 
00362 class ECL_PUBLIC DerivativeHeuristicCubicSpline : public ecl::BluePrint<DerivativeHeuristicCubicSpline> {
00363     public:
00367         typedef ecl::CubicSpline base_type;
00373         DerivativeHeuristicCubicSpline() {};
00374 
00388         DerivativeHeuristicCubicSpline(const ecl::Array<double>& x_set, const ecl::Array<double>& y_set,
00389                         const double ydot_0, const double ydot_f) ecl_assert_throw_decl(ecl::StandardException);
00390 
00391         virtual ~DerivativeHeuristicCubicSpline() {};
00399         ecl::CubicSpline instantiate();
00400 
00408         void apply(ecl::CubicSpline& spline) const;
00409 
00410     private:
00411         ecl::Array<double> x_data;
00412         ecl::Array<double> y_data;
00413         ecl::Array<double> ydot_data;
00414 };
00415 
00416 } // namespace blueprints
00417 } // namespace ecl
00418 
00419 #endif /* ECL_GEOMETRY_CUBIC_SPLINE_HPP_ */