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ImathVec.cpp

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//
// Copyright (c) 2002, Industrial Light & Magic, a division of Lucas
// Digital Ltd. LLC
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// *       Redistributions in binary form must reproduce the above
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// from this software without specific prior written permission. 
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// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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///////////////////////////////////////////////////////////////////////////



//----------------------------------------------------------------------------
//
//    Specializations of the Vec2<T> and Vec3<T> templates.
//
//----------------------------------------------------------------------------

#include <ImathVec.h>

namespace Imath {

namespace
{

template<class T>
bool
normalizeOrThrow(Vec2<T> &v)
{
    int axis = -1;
    for (int i = 0; i < 2; i ++)
    {
      if (v[i] != 0)
      {
          if (axis != -1)
          {
            throw IntVecNormalizeExc ("Cannot normalize an integer "
                                "vector unless it is parallel "
                                "to a principal axis");
          }
          axis = i;
      }
    }
    v[axis] = (v[axis] > 0) ? 1 : -1;
    return true;
}


template<class T>
bool
normalizeOrThrow(Vec3<T> &v)
{
    int axis = -1;
    for (int i = 0; i < 3; i ++)
    {
      if (v[i] != 0)
      {
          if (axis != -1)
          {
            throw IntVecNormalizeExc ("Cannot normalize an integer "
                                "vector unless it is parallel "
                                "to a principal axis");
          }
          axis = i;
      }
    }
    v[axis] = (v[axis] > 0) ? 1 : -1;
    return true;
}

}


// Vec2<short>

template <> 
short
Vec2<short>::length () const
{
    float lenF = Math<float>::sqrt (dot (*this));
    short lenS = (short) (lenF + 0.5f);
    return lenS;
}

template <>
const Vec2<short> &
Vec2<short>::normalize ()
{
    normalizeOrThrow<short>(*this);
    return *this;
}

template <>
const Vec2<short> &
Vec2<short>::normalizeExc () throw (Iex::MathExc)
{
    if ((x == 0) && (y == 0))
      throw NullVecExc ("Cannot normalize null vector.");

    normalizeOrThrow<short>(*this);
    return *this;
}

template <>
const Vec2<short> &
Vec2<short>::normalizeNonNull ()
{
    normalizeOrThrow<short>(*this);
    return *this;
}

template <>
Vec2<short>
Vec2<short>::normalized () const
{
    Vec2<short> v(*this);
    normalizeOrThrow<short>(v);
    return v;
}

template <>
Vec2<short>
Vec2<short>::normalizedExc () const throw (Iex::MathExc)
{
    if ((x == 0) && (y == 0))
      throw NullVecExc ("Cannot normalize null vector.");

    Vec2<short> v(*this);
    normalizeOrThrow<short>(v);
    return v;
}

template <>
Vec2<short>
Vec2<short>::normalizedNonNull () const
{
    Vec2<short> v(*this);
    normalizeOrThrow<short>(v);
    return v;
}


// Vec2<int>

template <> 
int
Vec2<int>::length () const
{
    float lenF = Math<float>::sqrt (dot (*this));
    int lenI = (int) (lenF + 0.5f);
    return lenI;
}

template <>
const Vec2<int> &
Vec2<int>::normalize ()
{
    normalizeOrThrow<int>(*this);
    return *this;
}

template <>
const Vec2<int> &
Vec2<int>::normalizeExc () throw (Iex::MathExc)
{
    if ((x == 0) && (y == 0))
      throw NullVecExc ("Cannot normalize null vector.");

    normalizeOrThrow<int>(*this);
    return *this;
}

template <>
const Vec2<int> &
Vec2<int>::normalizeNonNull ()
{
    normalizeOrThrow<int>(*this);
    return *this;
}

template <>
Vec2<int>
Vec2<int>::normalized () const
{
    Vec2<int> v(*this);
    normalizeOrThrow<int>(v);
    return v;
}

template <>
Vec2<int>
Vec2<int>::normalizedExc () const throw (Iex::MathExc)
{
    if ((x == 0) && (y == 0))
      throw NullVecExc ("Cannot normalize null vector.");

    Vec2<int> v(*this);
    normalizeOrThrow<int>(v);
    return v;
}

template <>
Vec2<int>
Vec2<int>::normalizedNonNull () const
{
    Vec2<int> v(*this);
    normalizeOrThrow<int>(v);
    return v;
}


// Vec3<short>

template <> 
short
Vec3<short>::length () const
{
    float lenF = Math<float>::sqrt (dot (*this));
    short lenS = (short) (lenF + 0.5f);
    return lenS;
}

template <>
const Vec3<short> &
Vec3<short>::normalize ()
{
    normalizeOrThrow<short>(*this);
    return *this;
}

template <>
const Vec3<short> &
Vec3<short>::normalizeExc () throw (Iex::MathExc)
{
    if ((x == 0) && (y == 0) && (z == 0))
      throw NullVecExc ("Cannot normalize null vector.");

    normalizeOrThrow<short>(*this);
    return *this;
}

template <>
const Vec3<short> &
Vec3<short>::normalizeNonNull ()
{
    normalizeOrThrow<short>(*this);
    return *this;
}

template <>
Vec3<short>
Vec3<short>::normalized () const
{
    Vec3<short> v(*this);
    normalizeOrThrow<short>(v);
    return v;
}

template <>
Vec3<short>
Vec3<short>::normalizedExc () const throw (Iex::MathExc)
{
    if ((x == 0) && (y == 0) && (z == 0))
      throw NullVecExc ("Cannot normalize null vector.");

    Vec3<short> v(*this);
    normalizeOrThrow<short>(v);
    return v;
}

template <>
Vec3<short>
Vec3<short>::normalizedNonNull () const
{
    Vec3<short> v(*this);
    normalizeOrThrow<short>(v);
    return v;
}


// Vec3<int>

template <> 
int
Vec3<int>::length () const
{
    float lenF = Math<float>::sqrt (dot (*this));
    int lenI = (int) (lenF + 0.5f);
    return lenI;
}

template <>
const Vec3<int> &
Vec3<int>::normalize ()
{
    normalizeOrThrow<int>(*this);
    return *this;
}

template <>
const Vec3<int> &
Vec3<int>::normalizeExc () throw (Iex::MathExc)
{
    if ((x == 0) && (y == 0) && (z == 0))
      throw NullVecExc ("Cannot normalize null vector.");

    normalizeOrThrow<int>(*this);
    return *this;
}

template <>
const Vec3<int> &
Vec3<int>::normalizeNonNull ()
{
    normalizeOrThrow<int>(*this);
    return *this;
}

template <>
Vec3<int>
Vec3<int>::normalized () const
{
    Vec3<int> v(*this);
    normalizeOrThrow<int>(v);
    return v;
}

template <>
Vec3<int>
Vec3<int>::normalizedExc () const throw (Iex::MathExc)
{
    if ((x == 0) && (y == 0) && (z == 0))
      throw NullVecExc ("Cannot normalize null vector.");

    Vec3<int> v(*this);
    normalizeOrThrow<int>(v);
    return v;
}

template <>
Vec3<int>
Vec3<int>::normalizedNonNull () const
{
    Vec3<int> v(*this);
    normalizeOrThrow<int>(v);
    return v;
}


} // namespace Imath

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