///////////////////////////////////////////////////////////////////////////////////
/// OpenGL Mathematics (glm.g-truc.net)
///
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/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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///
/// @ref core
/// @file glm/detail/func_matrix.inl
/// @date 2008-03-08 / 2011-06-15
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
#include “../geometric.hpp” namespace glm{ template template template template template result[1][0] = m[0][1]; result[2][0] = m[0][2]; template template template template result[1][0] = m[0][1]; result[2][0] = m[0][2]; result[3][0] = m[0][3]; template class matType, typename T, precision P> template template template tvec4 return template matType typename detail::outerProduct_trait template template }//namespace glm
#include
namespace detail
{
template class matType, typename T, precision P>
struct compute_transpose{};
struct compute_transpose
{
GLM_FUNC_QUALIFIER static tmat2x2
{
tmat2x2
result[0][0] = m[0][0];
result[0][1] = m[1][0];
result[1][0] = m[0][1];
result[1][1] = m[1][1];
return result;
}
};
struct compute_transpose
{
GLM_FUNC_QUALIFIER static tmat3x2
{
tmat3x2
result[0][0] = m[0][0];
result[0][1] = m[1][0];
result[1][0] = m[0][1];
result[1][1] = m[1][1];
result[2][0] = m[0][2];
result[2][1] = m[1][2];
return result;
}
};
struct compute_transpose
{
GLM_FUNC_QUALIFIER static tmat4x2
{
tmat4x2
result[0][0] = m[0][0];
result[0][1] = m[1][0];
result[1][0] = m[0][1];
result[1][1] = m[1][1];
result[2][0] = m[0][2];
result[2][1] = m[1][2];
result[3][0] = m[0][3];
result[3][1] = m[1][3];
return result;
}
};
struct compute_transpose
{
GLM_FUNC_QUALIFIER static tmat2x3
{
tmat2x3
result[0][0] = m[0][0];
result[0][1] = m[1][0];
result[0][2] = m[2][0];
result[1][0] = m[0][1];
result[1][1] = m[1][1];
result[1][2] = m[2][1];
return result;
}
};
struct compute_transpose
{
GLM_FUNC_QUALIFIER static tmat3x3
{
tmat3x3
result[0][0] = m[0][0];
result[0][1] = m[1][0];
result[0][2] = m[2][0];
result[1][1] = m[1][1];
result[1][2] = m[2][1];
result[2][1] = m[1][2];
result[2][2] = m[2][2];
return result;
}
};
struct compute_transpose
{
GLM_FUNC_QUALIFIER static tmat4x3
{
tmat4x3
result[0][0] = m[0][0];
result[0][1] = m[1][0];
result[0][2] = m[2][0];
result[1][0] = m[0][1];
result[1][1] = m[1][1];
result[1][2] = m[2][1];
result[2][0] = m[0][2];
result[2][1] = m[1][2];
result[2][2] = m[2][2];
result[3][0] = m[0][3];
result[3][1] = m[1][3];
result[3][2] = m[2][3];
return result;
}
};
struct compute_transpose
{
GLM_FUNC_QUALIFIER static tmat2x4
{
tmat2x4
result[0][0] = m[0][0];
result[0][1] = m[1][0];
result[0][2] = m[2][0];
result[0][3] = m[3][0];
result[1][0] = m[0][1];
result[1][1] = m[1][1];
result[1][2] = m[2][1];
result[1][3] = m[3][1];
return result;
}
};
struct compute_transpose
{
GLM_FUNC_QUALIFIER static tmat3x4
{
tmat3x4
result[0][0] = m[0][0];
result[0][1] = m[1][0];
result[0][2] = m[2][0];
result[0][3] = m[3][0];
result[1][0] = m[0][1];
result[1][1] = m[1][1];
result[1][2] = m[2][1];
result[1][3] = m[3][1];
result[2][0] = m[0][2];
result[2][1] = m[1][2];
result[2][2] = m[2][2];
result[2][3] = m[3][2];
return result;
}
};
struct compute_transpose
{
GLM_FUNC_QUALIFIER static tmat4x4
{
tmat4x4
result[0][0] = m[0][0];
result[0][1] = m[1][0];
result[0][2] = m[2][0];
result[0][3] = m[3][0];
result[1][1] = m[1][1];
result[1][2] = m[2][1];
result[1][3] = m[3][1];
result[2][1] = m[1][2];
result[2][2] = m[2][2];
result[2][3] = m[3][2];
result[3][1] = m[1][3];
result[3][2] = m[2][3];
result[3][3] = m[3][3];
return result;
}
};
struct compute_determinant{};
struct compute_determinant
{
GLM_FUNC_QUALIFIER static T call(tmat2x2
{
return m[0][0] * m[1][1] – m[1][0] * m[0][1];
}
};
struct compute_determinant
{
GLM_FUNC_QUALIFIER static T call(tmat3x3
{
return
+ m[0][0] * (m[1][1] * m[2][2] – m[2][1] * m[1][2])
– m[1][0] * (m[0][1] * m[2][2] – m[2][1] * m[0][2])
+ m[2][0] * (m[0][1] * m[1][2] – m[1][1] * m[0][2]);
}
};
struct compute_determinant
{
GLM_FUNC_QUALIFIER static T call(tmat4x4
{
T SubFactor00 = m[2][2] * m[3][3] – m[3][2] * m[2][3];
T SubFactor01 = m[2][1] * m[3][3] – m[3][1] * m[2][3];
T SubFactor02 = m[2][1] * m[3][2] – m[3][1] * m[2][2];
T SubFactor03 = m[2][0] * m[3][3] – m[3][0] * m[2][3];
T SubFactor04 = m[2][0] * m[3][2] – m[3][0] * m[2][2];
T SubFactor05 = m[2][0] * m[3][1] – m[3][0] * m[2][1];
+ (m[1][1] * SubFactor00 – m[1][2] * SubFactor01 + m[1][3] * SubFactor02),
– (m[1][0] * SubFactor00 – m[1][2] * SubFactor03 + m[1][3] * SubFactor04),
+ (m[1][0] * SubFactor01 – m[1][1] * SubFactor03 + m[1][3] * SubFactor05),
– (m[1][0] * SubFactor02 – m[1][1] * SubFactor04 + m[1][2] * SubFactor05));
m[0][0] * DetCof[0] + m[0][1] * DetCof[1] +
m[0][2] * DetCof[2] + m[0][3] * DetCof[3];
}
};
}//namespace detail
GLM_FUNC_QUALIFIER matType
{
GLM_STATIC_ASSERT(std::numeric_limits
for(detail::component_count_t i = 0; i < detail::component_count(result); ++i)
result[i] = x[i] * y[i];
return result;
}
template
GLM_FUNC_QUALIFIER typename detail::outerProduct_trait
{
GLM_STATIC_ASSERT(std::numeric_limits
for(detail::component_count_t i = 0; i < detail::component_count(m); ++i)
m[i] = c * r[i];
return m;
}
template
GLM_FUNC_QUALIFIER typename matType
{
GLM_STATIC_ASSERT(std::numeric_limits
return detail::compute_transpose
}
GLM_FUNC_QUALIFIER T determinant(matType
{
GLM_STATIC_ASSERT(std::numeric_limits
return detail::compute_determinant
}
GLM_FUNC_QUALIFIER matType
{
GLM_STATIC_ASSERT(std::numeric_limits
return detail::compute_inverse(m);
}