Quad.h

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////////////////////////////////////////////////////////////////////////
//
// Copyright (C) 1993-2021 The Octave Project Developers
//
// See the file COPYRIGHT.md in the top-level directory of this
// distribution or <https://octave.org/copyright/>.
//
// This file is part of Octave.
//
// Octave 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 3 of the License, or
// (at your option) any later version.
//
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// 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 Octave; see the file COPYING.  If not, see
// <https://www.gnu.org/licenses/>.
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////////////////////////////////////////////////////////////////////////
 
#if ! defined (octave_Quad_h)
#define octave_Quad_h 1
 
#include "octave-config.h"
 
#include "dColVector.h"
#include "fColVector.h"
 
typedef double (*integrand_fcn) (double x);
typedef float (*float_integrand_fcn) (float x);
 
#include "Quad-opts.h"
 
class
OCTAVE_API
Quad : public Quad_options
{
public:
 
  Quad (integrand_fcn fcn)
    : Quad_options (), f (fcn), ff () { }
 
  Quad (float_integrand_fcn fcn)
    : Quad_options (), f (), ff (fcn) { }
 
  virtual ~Quad (void) = default;
 
  virtual double integrate (void)
  {
    octave_idx_type ier, neval;
    double abserr;
    return do_integrate (ier, neval, abserr);
  }
 
  virtual float float_integrate (void)
  {
    octave_idx_type ier, neval;
    float abserr;
    return do_integrate (ier, neval, abserr);
  }
 
  virtual double integrate (octave_idx_type& ier)
  {
    octave_idx_type neval;
    double abserr;
    return do_integrate (ier, neval, abserr);
  }
 
  virtual float float_integrate (octave_idx_type& ier)
  {
    octave_idx_type neval;
    float abserr;
    return do_integrate (ier, neval, abserr);
  }
 
  virtual double integrate (octave_idx_type& ier, octave_idx_type& neval)
  {
    double abserr;
    return do_integrate (ier, neval, abserr);
  }
 
  virtual float float_integrate (octave_idx_type& ier, octave_idx_type& neval)
  {
    float abserr;
    return do_integrate (ier, neval, abserr);
  }
 
  virtual double integrate (octave_idx_type& ier, octave_idx_type& neval,
                            double& abserr)
  {
    return do_integrate (ier, neval, abserr);
  }
 
  virtual float float_integrate (octave_idx_type& ier, octave_idx_type& neval,
                                 float& abserr)
  {
    return do_integrate (ier, neval, abserr);
  }
 
  virtual double do_integrate (octave_idx_type& ier, octave_idx_type& neval,
                               double& abserr) = 0;
 
  virtual float do_integrate (octave_idx_type& ier, octave_idx_type& neval,
                              float& abserr) = 0;
 
protected:
 
  integrand_fcn f;
  float_integrand_fcn ff;
};
 
class
OCTAVE_API
DefQuad : public Quad
{
public:
 
  DefQuad (integrand_fcn fcn)
    : Quad (fcn), lower_limit (0.0), upper_limit (1.0), singularities () { }
 
  DefQuad (integrand_fcn fcn, double ll, double ul)
    : Quad (fcn), lower_limit (ll), upper_limit (ul), singularities () { }
 
  DefQuad (integrand_fcn fcn, double ll, double ul,
           const ColumnVector& sing)
    : Quad (fcn), lower_limit (ll), upper_limit (ul),
      singularities (sing) { }
 
  DefQuad (integrand_fcn fcn, const ColumnVector& sing)
    : Quad (fcn), lower_limit (0.0), upper_limit (1.0),
      singularities (sing) { }
 
  ~DefQuad (void) = default;
 
  double do_integrate (octave_idx_type& ier, octave_idx_type& neval,
                       double& abserr);
 
  OCTAVE_NORETURN float do_integrate (octave_idx_type& ier,
                                      octave_idx_type& neval, float& abserr);
 
private:
 
  double lower_limit;
  double upper_limit;
 
  ColumnVector singularities;
};
 
class
OCTAVE_API
IndefQuad : public Quad
{
public:
 
  enum IntegralType { bound_to_inf, neg_inf_to_bound, doubly_infinite };
 
  IndefQuad (integrand_fcn fcn)
    : Quad (fcn), bound (0.0), type (bound_to_inf) { }
 
  IndefQuad (integrand_fcn fcn, double b, IntegralType t)
    : Quad (fcn), bound (b), type (t) { }
 
  ~IndefQuad (void) = default;
 
  double do_integrate (octave_idx_type& ier, octave_idx_type& neval,
                       double& abserr);
 
  OCTAVE_NORETURN float do_integrate (octave_idx_type& ier,
                                      octave_idx_type& neval, float& abserr);
 
private:
 
  double bound;
  IntegralType type;
};
 
class
OCTAVE_API
FloatDefQuad : public Quad
{
public:
 
  FloatDefQuad (float_integrand_fcn fcn)
    : Quad (fcn), lower_limit (0.0), upper_limit (1.0), singularities () { }
 
  FloatDefQuad (float_integrand_fcn fcn, float ll, float ul)
    : Quad (fcn), lower_limit (ll), upper_limit (ul), singularities () { }
 
  FloatDefQuad (float_integrand_fcn fcn, float ll, float ul,
                const FloatColumnVector& sing)
    : Quad (fcn), lower_limit (ll), upper_limit (ul),
      singularities (sing) { }
 
  FloatDefQuad (float_integrand_fcn fcn, const FloatColumnVector& sing)
    : Quad (fcn), lower_limit (0.0), upper_limit (1.0),
      singularities (sing) { }
 
  ~FloatDefQuad (void) = default;
 
  OCTAVE_NORETURN double do_integrate (octave_idx_type& ier,
                                       octave_idx_type& neval, double& abserr);
 
  float do_integrate (octave_idx_type& ier, octave_idx_type& neval,
                      float& abserr);
 
private:
 
  float lower_limit;
  float upper_limit;
 
  FloatColumnVector singularities;
};
 
class
OCTAVE_API
FloatIndefQuad : public Quad
{
public:
 
  enum IntegralType { bound_to_inf, neg_inf_to_bound, doubly_infinite };
 
  FloatIndefQuad (float_integrand_fcn fcn)
    : Quad (fcn), bound (0.0), type (bound_to_inf) { }
 
  FloatIndefQuad (float_integrand_fcn fcn, double b, IntegralType t)
    : Quad (fcn), bound (b), type (t) { }
 
  ~FloatIndefQuad (void) = default;
 
  OCTAVE_NORETURN double do_integrate (octave_idx_type& ier,
                                       octave_idx_type& neval, double& abserr);
 
  float do_integrate (octave_idx_type& ier, octave_idx_type& neval,
                      float& abserr);
 
private:
 
  float bound;
  IntegralType type;
};
 
#endif