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///////////////////////////////////////////////////////////////////////////////////////////////////
// OpenGL Mathematics Copyright (c) 2005 - 2013 G-Truc Creation (www.g-truc.net)
///////////////////////////////////////////////////////////////////////////////////////////////////
// Created : 2007-03-05
// Updated : 2007-03-05
// Licence : This source is under MIT License
// File : glm/gtx/matrix_query.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
// Dependency:
// - GLM core
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm
{
template<typename T>
GLM_FUNC_QUALIFIER bool isNull
(
detail::tmat2x2<T> const & m,
T const & epsilon)
{
bool result = true;
for(int i = 0; result && i < 2 ; ++i)
result = isNull(m[i], epsilon);
return result;
}
template<typename T>
GLM_FUNC_QUALIFIER bool isNull
(
detail::tmat3x3<T> const & m,
T const & epsilon
)
{
bool result = true;
for(int i = 0; result && i < 3 ; ++i)
result = isNull(m[i], epsilon);
return result;
}
template<typename T>
GLM_FUNC_QUALIFIER bool isNull
(
detail::tmat4x4<T> const & m,
T const & epsilon
)
{
bool result = true;
for(int i = 0; result && i < 4 ; ++i)
result = isNull(m[i], epsilon);
return result;
}
template<typename genType>
GLM_FUNC_QUALIFIER bool isIdentity
(
genType const & m,
typename genType::value_type const & epsilon
)
{
bool result = true;
for(typename genType::size_type i = typename genType::size_type(0); result && i < genType::col_size(); ++i)
{
for(typename genType::size_type j = typename genType::size_type(0); result && j < i ; ++j)
result = abs(m[i][j]) <= epsilon;
if(result)
result = abs(m[i][i] - typename genType::value_type(1)) <= epsilon;
for(typename genType::size_type j = i + typename genType::size_type(1); result && j < genType::row_size(); ++j)
result = abs(m[i][j]) <= epsilon;
}
return result;
}
template<typename genType>
GLM_FUNC_QUALIFIER bool isNormalized
(
detail::tmat2x2<genType> const & m,
genType const & epsilon
)
{
bool result(true);
for(typename detail::tmat2x2<genType>::size_type i(0); result && i < m.length(); ++i)
result = isNormalized(m[i], epsilon);
for(typename detail::tmat2x2<genType>::size_type i(0); result && i < m.length(); ++i)
{
typename detail::tmat2x2<genType>::col_type v;
for(typename detail::tmat2x2<genType>::size_type j(0); j < m.length(); ++j)
v[j] = m[j][i];
result = isNormalized(v, epsilon);
}
return result;
}
template<typename genType>
GLM_FUNC_QUALIFIER bool isNormalized
(
detail::tmat3x3<genType> const & m,
genType const & epsilon
)
{
bool result(true);
for(typename detail::tmat3x3<genType>::size_type i(0); result && i < m.length(); ++i)
result = isNormalized(m[i], epsilon);
for(typename detail::tmat3x3<genType>::size_type i(0); result && i < m.length(); ++i)
{
typename detail::tmat3x3<genType>::col_type v;
for(typename detail::tmat3x3<genType>::size_type j(0); j < m.length(); ++j)
v[j] = m[j][i];
result = isNormalized(v, epsilon);
}
return result;
}
template<typename genType>
GLM_FUNC_QUALIFIER bool isNormalized
(
detail::tmat4x4<genType> const & m,
genType const & epsilon
)
{
bool result(true);
for(typename detail::tmat4x4<genType>::size_type i(0); result && i < m.length(); ++i)
result = isNormalized(m[i], epsilon);
for(typename detail::tmat4x4<genType>::size_type i(0); result && i < m.length(); ++i)
{
typename detail::tmat4x4<genType>::col_type v;
for(typename detail::tmat4x4<genType>::size_type j(0); j < m.length(); ++j)
v[j] = m[j][i];
result = isNormalized(v, epsilon);
}
return result;
}
template<typename genType, template <typename> class matType>
GLM_FUNC_QUALIFIER bool isOrthogonal
(
matType<genType> const & m,
genType const & epsilon
)
{
bool result(true);
for(typename matType<genType>::size_type i(0); result && i < m.length() - 1; ++i)
for(typename matType<genType>::size_type j(i + 1); result && j < m.length(); ++j)
result = areOrthogonal(m[i], m[j], epsilon);
if(result)
{
matType<genType> tmp = transpose(m);
for(typename matType<genType>::size_type i(0); result && i < m.length() - 1 ; ++i)
for(typename matType<genType>::size_type j(i + 1); result && j < m.length(); ++j)
result = areOrthogonal(tmp[i], tmp[j], epsilon);
}
return result;
}
}//namespace glm
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