QuadricT.hh

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//=============================================================================
//
//  CLASS QuadricT
//
//=============================================================================

#ifndef ACG_QUADRIC_HH
#define ACG_QUADRIC_HH


//== INCLUDES =================================================================


#include "../../Math/VectorT.hh"


//== NAMESPACE ================================================================


namespace ACG {
namespace Geometry {


//== CLASS DEFINITION =========================================================


template <class Scalar>
class ACGDLLEXPORT QuadricT
{
public:


  QuadricT(Scalar _a, Scalar _b, Scalar _c, Scalar _d,
                      Scalar _e, Scalar _f, Scalar _g,
                                 Scalar _h, Scalar _i,
                                            Scalar _j)
    : a(_a), b(_b), c(_c), d(_d),
             e(_e), f(_f), g(_g),
                    h(_h), i(_i),
                           j(_j)
  {}


  QuadricT( Scalar _a=0.0, Scalar _b=0.0, Scalar _c=0.0, Scalar _d=0.0 )
    :  a(_a*_a), b(_a*_b),  c(_a*_c),  d(_a*_d),
                 e(_b*_b),  f(_b*_c),  g(_b*_d),
                            h(_c*_c),  i(_c*_d),
                                       j(_d*_d)
  {}


  void clear()  { a = b = c = d = e = f = g = h = i = j = 0.0; }


  QuadricT<Scalar>& operator+=( const QuadricT<Scalar>& _q )
  {
    a += _q.a;  b += _q.b;  c += _q.c;  d += _q.d;
                e += _q.e;  f += _q.f;  g += _q.g;
                            h += _q.h;  i += _q.i;
                                        j += _q.j;
    return *this;
  }


  QuadricT<Scalar>& operator*=( Scalar _s)
  {
    a *= _s;  b *= _s;  c *= _s;  d *= _s;
              e *= _s;  f *= _s;  g *= _s;
                        h *= _s;  i *= _s;
                                  j *= _s;
    return *this;
  }


  VectorT<Scalar,4> operator*(const VectorT<Scalar,4>& _v) const
  {
    return VectorT<Scalar,4>(_v[0]*a + _v[1]*b + _v[2]*c + _v[3]*d,
                             _v[0]*b + _v[1]*e + _v[2]*f + _v[3]*g,
                             _v[0]*c + _v[1]*f + _v[2]*h + _v[3]*i,
                             _v[0]*d + _v[1]*g + _v[2]*i + _v[3]*j);
  }


  Scalar operator()(const VectorT<Scalar,3> _v) const
  {
    Scalar x(_v[0]), y(_v[1]), z(_v[2]);
    return a*x*x + 2.0*b*x*y + 2.0*c*x*z + 2.0*d*x
                 +     e*y*y + 2.0*f*y*z + 2.0*g*y
                             +     h*z*z + 2.0*i*z
                                         +     j;
  }


  Scalar operator()(const VectorT<Scalar,4> _v) const
  {
    Scalar x(_v[0]), y(_v[1]), z(_v[2]), w(_v[3]);
    return a*x*x + 2.0*b*x*y + 2.0*c*x*z + 2.0*d*x*w
                 +     e*y*y + 2.0*f*y*z + 2.0*g*y*w
                             +     h*z*z + 2.0*i*z*w
                                         +     j*w*w;
  }


private:

  Scalar a, b, c, d,
            e, f, g,
               h, i,
                  j;
};


typedef QuadricT<float> Quadricf;

typedef QuadricT<double> Quadricd;


//=============================================================================
} // namespace Geometry
} // namespace ACG
//=============================================================================
#endif // ACG_QUADRIC_HH defined
//=============================================================================