CS计算机代考程序代写 ///////////////////////////////////////////////////////////////////////////////////

///////////////////////////////////////////////////////////////////////////////////
/// OpenGL Mathematics (glm.g-truc.net)
///
/// Copyright (c) 2005 – 2015 G-Truc Creation (www.g-truc.net)
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/// @ref gtc_matrix_inverse
/// @file glm/gtc/matrix_inverse.inl
/// @date 2005-12-21 / 2011-06-15
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////

namespace glm
{
template
GLM_FUNC_QUALIFIER tmat3x3 affineInverse(tmat3x3 const & m)
{
tmat3x3 Result(m);
Result[2] = tvec3(0, 0, 1);
Result = transpose(Result);
tvec3 Translation = Result * tvec3(-tvec2(m[2]), m[2][2]);
Result[2] = Translation;
return Result;
}

template
GLM_FUNC_QUALIFIER tmat4x4 affineInverse(tmat4x4 const & m)
{
tmat4x4 Result(m);
Result[3] = tvec4(0, 0, 0, 1);
Result = transpose(Result);
tvec4 Translation = Result * tvec4(-tvec3(m[3]), m[3][3]);
Result[3] = Translation;
return Result;
}

template
GLM_FUNC_QUALIFIER tmat2x2 inverseTranspose(tmat2x2 const & m)
{
T Determinant = m[0][0] * m[1][1] – m[1][0] * m[0][1];

tmat2x2 Inverse(
+ m[1][1] / Determinant,
– m[0][1] / Determinant,
– m[1][0] / Determinant,
+ m[0][0] / Determinant);

return Inverse;
}

template
GLM_FUNC_QUALIFIER tmat3x3 inverseTranspose(tmat3x3 const & m)
{
T Determinant =
+ m[0][0] * (m[1][1] * m[2][2] – m[1][2] * m[2][1])
– m[0][1] * (m[1][0] * m[2][2] – m[1][2] * m[2][0])
+ m[0][2] * (m[1][0] * m[2][1] – m[1][1] * m[2][0]);

tmat3x3 Inverse(uninitialize);
Inverse[0][0] = + (m[1][1] * m[2][2] – m[2][1] * m[1][2]);
Inverse[0][1] = – (m[1][0] * m[2][2] – m[2][0] * m[1][2]);
Inverse[0][2] = + (m[1][0] * m[2][1] – m[2][0] * m[1][1]);
Inverse[1][0] = – (m[0][1] * m[2][2] – m[2][1] * m[0][2]);
Inverse[1][1] = + (m[0][0] * m[2][2] – m[2][0] * m[0][2]);
Inverse[1][2] = – (m[0][0] * m[2][1] – m[2][0] * m[0][1]);
Inverse[2][0] = + (m[0][1] * m[1][2] – m[1][1] * m[0][2]);
Inverse[2][1] = – (m[0][0] * m[1][2] – m[1][0] * m[0][2]);
Inverse[2][2] = + (m[0][0] * m[1][1] – m[1][0] * m[0][1]);
Inverse /= Determinant;

return Inverse;
}

template
GLM_FUNC_QUALIFIER tmat4x4 inverseTranspose(tmat4x4 const & m)
{
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];
T SubFactor06 = m[1][2] * m[3][3] – m[3][2] * m[1][3];
T SubFactor07 = m[1][1] * m[3][3] – m[3][1] * m[1][3];
T SubFactor08 = m[1][1] * m[3][2] – m[3][1] * m[1][2];
T SubFactor09 = m[1][0] * m[3][3] – m[3][0] * m[1][3];
T SubFactor10 = m[1][0] * m[3][2] – m[3][0] * m[1][2];
T SubFactor11 = m[1][1] * m[3][3] – m[3][1] * m[1][3];
T SubFactor12 = m[1][0] * m[3][1] – m[3][0] * m[1][1];
T SubFactor13 = m[1][2] * m[2][3] – m[2][2] * m[1][3];
T SubFactor14 = m[1][1] * m[2][3] – m[2][1] * m[1][3];
T SubFactor15 = m[1][1] * m[2][2] – m[2][1] * m[1][2];
T SubFactor16 = m[1][0] * m[2][3] – m[2][0] * m[1][3];
T SubFactor17 = m[1][0] * m[2][2] – m[2][0] * m[1][2];
T SubFactor18 = m[1][0] * m[2][1] – m[2][0] * m[1][1];

tmat4x4 Inverse(uninitialize);
Inverse[0][0] = + (m[1][1] * SubFactor00 – m[1][2] * SubFactor01 + m[1][3] * SubFactor02);
Inverse[0][1] = – (m[1][0] * SubFactor00 – m[1][2] * SubFactor03 + m[1][3] * SubFactor04);
Inverse[0][2] = + (m[1][0] * SubFactor01 – m[1][1] * SubFactor03 + m[1][3] * SubFactor05);
Inverse[0][3] = – (m[1][0] * SubFactor02 – m[1][1] * SubFactor04 + m[1][2] * SubFactor05);

Inverse[1][0] = – (m[0][1] * SubFactor00 – m[0][2] * SubFactor01 + m[0][3] * SubFactor02);
Inverse[1][1] = + (m[0][0] * SubFactor00 – m[0][2] * SubFactor03 + m[0][3] * SubFactor04);
Inverse[1][2] = – (m[0][0] * SubFactor01 – m[0][1] * SubFactor03 + m[0][3] * SubFactor05);
Inverse[1][3] = + (m[0][0] * SubFactor02 – m[0][1] * SubFactor04 + m[0][2] * SubFactor05);

Inverse[2][0] = + (m[0][1] * SubFactor06 – m[0][2] * SubFactor07 + m[0][3] * SubFactor08);
Inverse[2][1] = – (m[0][0] * SubFactor06 – m[0][2] * SubFactor09 + m[0][3] * SubFactor10);
Inverse[2][2] = + (m[0][0] * SubFactor11 – m[0][1] * SubFactor09 + m[0][3] * SubFactor12);
Inverse[2][3] = – (m[0][0] * SubFactor08 – m[0][1] * SubFactor10 + m[0][2] * SubFactor12);

Inverse[3][0] = – (m[0][1] * SubFactor13 – m[0][2] * SubFactor14 + m[0][3] * SubFactor15);
Inverse[3][1] = + (m[0][0] * SubFactor13 – m[0][2] * SubFactor16 + m[0][3] * SubFactor17);
Inverse[3][2] = – (m[0][0] * SubFactor14 – m[0][1] * SubFactor16 + m[0][3] * SubFactor18);
Inverse[3][3] = + (m[0][0] * SubFactor15 – m[0][1] * SubFactor17 + m[0][2] * SubFactor18);

T Determinant =
+ m[0][0] * Inverse[0][0]
+ m[0][1] * Inverse[0][1]
+ m[0][2] * Inverse[0][2]
+ m[0][3] * Inverse[0][3];

Inverse /= Determinant;

return Inverse;
}
}//namespace glm