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/** \file NXPoint.h
* \brief Implements point-vector classes using expression templates
*/
#ifndef NX_POINT_H
#define NX_POINT_H
#include <cmath>
#include "Nanorex/Utility/NXUtility.h"
namespace Nanorex {
template<typename T, int N> class NXPointRef;
template<typename T, int N> class NXPoint;
static double const NX_DEFAULTTOL = 1.0e-6;
/* CLASS: NXPointRef */
/**
* N-dimensional vector view of an array
*/
template<typename T, int N>
class NXPointRef {
public:
typedef T value_type;
NXPointRef() : m_coords(NULL) {}
NXPointRef(T *const v) : m_coords(v) {}
~NXPointRef() {}
T const& operator [] (int const& n) const { return m_coords[n]; }
T& operator [] (int const& n) { return m_coords[n]; }
T *const data(void) { return m_coords; }
T const *const data(void) const { return m_coords; }
int size(void) const { return N; }
NXPointRef<T,N>& zero(void);
NXPointRef<T,N>& operator += (NXPointRef<T,N> const& b);
NXPointRef<T,N>& operator -= (NXPointRef<T,N> const& b);
NXPointRef<T,N>& operator *= (T const& c);
NXPointRef<T,N>& operator /= (T const& c);
NXPointRef<T,N>& normalizeSelf(double const& TOL=NX_DEFAULTTOL);
NXPoint<T,N> normalized(double const& TOL=NX_DEFAULTTOL) const;
protected:
T *m_coords;
static inline T s_sqr(T const& x) { return x*x; }
static inline T s_div(T const& a, T const& b)
{ return (static_cast<double>(a)/static_cast<double>(b)); }
};
// typedefs for common instantiations
typedef NXPointRef<float, 2> NXPointRef2f;
typedef NXPointRef<double,2> NXPointRef2d;
typedef NXPointRef<float, 3> NXPointRef3f;
typedef NXPointRef<double,3> NXPointRef3d;
typedef NXPointRef<float, 4> NXPointRef4f;
typedef NXPointRef<double,4> NXPointRef4d;
// ------------------------------------------------------------------------
/* CLASS: NXPoint */
/**
* N-dimensional point
* Allocates private data store and uses NXPointRef to refer to it, inheriting
* the latter's functionality
*/
template<typename T, int N>
class NXPoint : public NXPointRef<T,N> {
public:
NXPoint() throw () : NXPointRef<T,N>(m_coord_data) {}
NXPoint(T const& x) throw (NXException);
NXPoint(T const& y, T const& y) throw (NXException);
NXPoint(T const& x, T const& y, T const& z) throw (NXException);
NXPoint(T *const v) throw (); ///< initialize from array
NXPoint(NXPointRef<T,N> const& v) throw (); ///< deep-copy semantics
~NXPoint() {}
/// Override inerhited shallow-copy with deep-copy semantics
NXPoint<T,N>& operator = (NXPointRef<T,N> const& v);
private:
T m_coord_data[N];
};
// typedefs for common instantiations
typedef NXPoint<float, 2> NXPoint2f;
typedef NXPoint<double,2> NXPoint2d;
typedef NXPoint<float, 3> NXPoint3f;
typedef NXPoint<double,3> NXPoint3d;
typedef NXPoint<float, 4> NXPoint4f;
typedef NXPoint<double,4> NXPoint4d;
/* CONSTRUCTOR */
template<typename T, int N>
inline
NXPoint<T,N>::NXPoint(T const& x) throw (NXException)
: NXPointRef<T,N>(m_coord_data)
{
if(N != 1)
throw NXException("Initialization with different dimensionality");
m_coord_data[0] = x;
}
/* CONSTRUCTOR */
template<typename T, int N>
inline
NXPoint<T,N>::NXPoint(T const& x, T const& y) throw (NXException)
: NXPointRef<T,N>(m_coord_data)
{
if(N != 2)
throw NXException("Initialization with different dimensionality");
m_coord_data[0] = x;
m_coord_data[1] = y;
}
/* CONSTRUCTOR */
template<typename T, int N>
inline
NXPoint<T,N>::NXPoint(T const& x, T const& y, T const& z) throw (NXException)
: NXPointRef<T,N>(m_coord_data)
{
if(N != 3)
throw NXException("Initialization with different dimensionality");
m_coord_data[0] = x;
m_coord_data[1] = y;
m_coord_data[2] = z;
}
/* CONSTRUCTOR */
template<typename T, int N>
inline
NXPoint<T,N>::NXPoint(T *const v) throw ()
: NXPointRef<T,N>(m_coord_data)
{
for(int n=0; n<N; ++n) m_coord_data[n] = v[n];
}
/* CONSTRUCTOR */
template<typename T, int N>
NXPoint<T,N>::NXPoint(NXPointRef<T,N> const& v) throw ()
: NXPointRef<T,N>(m_coord_data)
{
for(int n=0; n<N; ++n) m_coord_data[n] = v[n];
}
/* COPY-ASSIGNMENT */
template<typename T, int N>
inline
NXPoint<T,N>& NXPoint<T,N>::operator = (NXPointRef<T,N> const& v)
{
for(int n=0; n<N; ++n) m_coord_data[n] = v[n];
return *this;
}
// ------------------------------------------------------------------------
/* Global functions */
template<typename T>
T dot(NXPointRef<T,1>& a, NXPointRef<T,1>& b){ return a[0]*b[0]; }
template<typename T, int N>
T dot(NXPointRef<T,N>& a, NXPointRef<T,N>& b)
{
NXPointRef<T,N-1> a1(a.data()), b1(b.data());
T const s = dot(a1, b1);
T const result = s + a[N-1]*b[N-1];
return result;
}
template<typename T, int N>
T squared_norm(NXPointRef<T,N>& v) { return dot(v,v); }
template<typename T, int N>
T norm(NXPointRef<T,N>& v) { return sqrt(squared_norm(v)); }
template<typename T, int N>
T length(NXPointRef<T,N>& v) { return norm(v); }
template<typename T>
NXPoint<T,3> cross(NXPointRef<T,3>& a, NXPointRef<T,3>& b)
{
NXPoint<T,3> c;
c[0] = a[1] * b[2] - a[2] * b[1];
c[1] = a[2] * b[0] - a[0] * b[2];
c[2] = a[0] * b[1] - a[1] * b[0];
return c;
}
// ------------------------------------------------------------------------
/* NXPointRef member functions */
// template<typename T>
// inline
// NXPointRef<T,1>& NXPointRef<T,1>::zero(void)
// { m_coords[0] = T(0); return *this; }
template<typename T, int N>
inline
NXPointRef<T,N>& NXPointRef<T,N>::zero(void)
{
for(int n=0; n<N; ++n) m_coords[n] = T(0);
/* if(N==1) m_coords[0] = T(0);
else {
NXPointRef<T,N-1>(m_coords).zero();
m_coords[N-1]=T(0);
}*/
return *this;
}
// increment base-case
// template<typename T>
// inline
// NXPointRef<T,1>& NXPointRef<T,1>::operator += (NXPointRef<T,1> const& v)
// { m_coords[0] += v.m_coords[0]; return *this; }
// increment common-case
template<typename T, int N>
inline
NXPointRef<T,N>& NXPointRef<T,N>::operator += (NXPointRef<T,N> const& v)
{
for(int n=0; n<N; ++n) m_coords[n] += v[n];
/* NXPointRef<T,N-1>(m_coords) += NXPointRef<T,N-1>(v.m_coords);
m_coords[N-1] += v.m_coords[N-1];*/
return *this;
}
// decrement base-case
// template<typename T>
// inline
// NXPointRef<T,1>& NXPointRef<T,1>::operator -= (NXPointRef<T,1> const& v)
// { m_coords[0] -= v.m_coords[0]; return *this; }
// decrement common-case
template<typename T, int N>
NXPointRef<T,N>& NXPointRef<T,N>::operator -= (NXPointRef<T,N> const& v)
{
for(int n=0; n<N; ++n) m_coords[n] -= v[n];
/* NXPointRef<T,N-1>(m_coords) -= NXPointRef<T,N-1>(v.m_coords);
m_coords[N-1] -= v.m_coords[N-1];*/
return *this;
}
// scaling base-case
// template<typename T>
// inline
// NXPointRef<T,1>& NXPointRef<T,1>::operator *= (T const& c)
// {
// m_coords[0] *= c;
// return *this;
// }
// scaling common-case
template<typename T, int N>
inline
NXPointRef<T,N>& NXPointRef<T,N>::operator *= (T const& c)
{
for(int n=0; n<N; ++n) m_coords[n] *= c;
/* NXPointRef<T,N-1>(m_coords) *= c;
m_coords[N-1] *= c;*/
return *this;
}
// scaling base-case
// template<typename T>
// inline
// NXPointRef<T,1>& NXPointRef<T,1>::operator /= (T const& c)
// {
// m_coords[0] /= c;
// return *this;
// }
// scaling common-case
template<typename T, int N>
inline
NXPointRef<T,N>& NXPointRef<T,N>::operator /= (T const& c)
{
for(int n=0; n<N; ++n) m_coords[n] /= c;
/* NXPointRef<T,N-1>(m_coords) /= c;
m_coords[N-1] /= c;*/
return *this;
}
template<typename T, int N>
inline
NXPointRef<T,N>& NXPointRef<T,N>::normalizeSelf(double const& TOL)
{
T const len = norm(*this);
if(double(len) < TOL) zero();
else this->operator /= (len);
return *this;
}
template<typename T, int N>
inline
NXPoint<T,N> NXPointRef<T,N>::normalized(double const& TOL) const
{
NXPoint<T,N> v(m_coords);
v.normalizeSelf(TOL);
return v;
}
} // Nanorex
#endif // NX_POINT_H
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