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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/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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///
/// The above copyright notice and this permission notice shall be included in
/// all copies or substantial portions of the Software.
///
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/// By making use of the Software for military purposes, you choose to make
/// a Bunny unhappy.
///
/// THE SOFTWARE IS PROVIDED “AS IS”, WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
/// THE SOFTWARE.
///
/// @ref core
/// @file glm/detail/type_mat3x3.inl
/// @date 2005-01-27 / 2011-06-15
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////

namespace glm{
namespace detail
{
template
GLM_FUNC_QUALIFIER tmat3x3 compute_inverse(tmat3x3 const & m)
{
T OneOverDeterminant = static_cast(1) / (
+ 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]));

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

return Inverse;
}
}//namespace detail

//////////////////////////////////////////////////////////////
// Constructors

template
GLM_FUNC_QUALIFIER tmat3x3::tmat3x3()
{
# ifndef GLM_FORCE_NO_CTOR_INIT
this->value[0] = col_type(1, 0, 0);
this->value[1] = col_type(0, 1, 0);
this->value[2] = col_type(0, 0, 1);
# endif
}

template
GLM_FUNC_QUALIFIER tmat3x3::tmat3x3(ctor)
{}

template
GLM_FUNC_QUALIFIER tmat3x3::tmat3x3(tmat3x3 const & m)
{
this->value[0] = m.value[0];
this->value[1] = m.value[1];
this->value[2] = m.value[2];
}

template
template GLM_FUNC_QUALIFIER tmat3x3::tmat3x3(tmat3x3 const & m)
{
this->value[0] = m.value[0];
this->value[1] = m.value[1];
this->value[2] = m.value[2];
}

template
GLM_FUNC_QUALIFIER tmat3x3::tmat3x3(T const & s)
{
this->value[0] = col_type(s, 0, 0);
this->value[1] = col_type(0, s, 0);
this->value[2] = col_type(0, 0, s);
}

template
GLM_FUNC_QUALIFIER tmat3x3::tmat3x3
(
T const & x0, T const & y0, T const & z0,
T const & x1, T const & y1, T const & z1,
T const & x2, T const & y2, T const & z2
)
{
this->value[0] = col_type(x0, y0, z0);
this->value[1] = col_type(x1, y1, z1);
this->value[2] = col_type(x2, y2, z2);
}

template
GLM_FUNC_QUALIFIER tmat3x3::tmat3x3
(
col_type const & v0,
col_type const & v1,
col_type const & v2
)
{
this->value[0] = v0;
this->value[1] = v1;
this->value[2] = v2;
}

//////////////////////////////////////
// Conversion constructors
template
template < typename X1, typename Y1, typename Z1, typename X2, typename Y2, typename Z2, typename X3, typename Y3, typename Z3>
GLM_FUNC_QUALIFIER tmat3x3::tmat3x3
(
X1 const & x1, Y1 const & y1, Z1 const & z1,
X2 const & x2, Y2 const & y2, Z2 const & z2,
X3 const & x3, Y3 const & y3, Z3 const & z3
)
{
this->value[0] = col_type(static_cast(x1), value_type(y1), value_type(z1));
this->value[1] = col_type(static_cast(x2), value_type(y2), value_type(z2));
this->value[2] = col_type(static_cast(x3), value_type(y3), value_type(z3));
}

template
template
GLM_FUNC_QUALIFIER tmat3x3::tmat3x3
(
tvec3 const & v1,
tvec3 const & v2,
tvec3 const & v3
)
{
this->value[0] = col_type(v1);
this->value[1] = col_type(v2);
this->value[2] = col_type(v3);
}

//////////////////////////////////////////////////////////////
// Conversions

template
template
GLM_FUNC_QUALIFIER tmat3x3::tmat3x3(tmat3x3 const & m)
{
this->value[0] = col_type(m[0]);
this->value[1] = col_type(m[1]);
this->value[2] = col_type(m[2]);
}

template
GLM_FUNC_QUALIFIER tmat3x3::tmat3x3(tmat2x2 const & m)
{
this->value[0] = col_type(m[0], 0);
this->value[1] = col_type(m[1], 0);
this->value[2] = col_type(0, 0, 1);
}

template
GLM_FUNC_QUALIFIER tmat3x3::tmat3x3(tmat4x4 const & m)
{
this->value[0] = col_type(m[0]);
this->value[1] = col_type(m[1]);
this->value[2] = col_type(m[2]);
}

template
GLM_FUNC_QUALIFIER tmat3x3::tmat3x3(tmat2x3 const & m)
{
this->value[0] = m[0];
this->value[1] = m[1];
this->value[2] = col_type(0, 0, 1);
}

template
GLM_FUNC_QUALIFIER tmat3x3::tmat3x3(tmat3x2 const & m)
{
this->value[0] = col_type(m[0], 0);
this->value[1] = col_type(m[1], 0);
this->value[2] = col_type(m[2], 1);
}

template
GLM_FUNC_QUALIFIER tmat3x3::tmat3x3(tmat2x4 const & m)
{
this->value[0] = col_type(m[0]);
this->value[1] = col_type(m[1]);
this->value[2] = col_type(0, 0, 1);
}

template
GLM_FUNC_QUALIFIER tmat3x3::tmat3x3(tmat4x2 const & m)
{
this->value[0] = col_type(m[0], 0);
this->value[1] = col_type(m[1], 0);
this->value[2] = col_type(m[2], 1);
}

template
GLM_FUNC_QUALIFIER tmat3x3::tmat3x3(tmat3x4 const & m)
{
this->value[0] = col_type(m[0]);
this->value[1] = col_type(m[1]);
this->value[2] = col_type(m[2]);
}

template
GLM_FUNC_QUALIFIER tmat3x3::tmat3x3(tmat4x3 const & m)
{
this->value[0] = m[0];
this->value[1] = m[1];
this->value[2] = m[2];
}

//////////////////////////////////////
// Accesses

# ifdef GLM_FORCE_SIZE_FUNC
template
GLM_FUNC_QUALIFIER GLM_CONSTEXPR typename tmat3x3::size_type tmat3x3::size() const
{
return 3;
}

template
GLM_FUNC_QUALIFIER typename tmat3x3::col_type & tmat3x3::operator[](typename tmat3x3::size_type i)
{
assert(i < this->size());
return this->value[i];
}

template
GLM_FUNC_QUALIFIER typename tmat3x3::col_type const & tmat3x3::operator[](typename tmat3x3::size_type i) const
{
assert(i < this->size());
return this->value[i];
}
# else
template
GLM_FUNC_QUALIFIER GLM_CONSTEXPR typename tmat3x3::length_type tmat3x3::length() const
{
return 3;
}

template
GLM_FUNC_QUALIFIER typename tmat3x3::col_type & tmat3x3::operator[](typename tmat3x3::length_type i)
{
assert(i < this->length());
return this->value[i];
}

template
GLM_FUNC_QUALIFIER typename tmat3x3::col_type const & tmat3x3::operator[](typename tmat3x3::length_type i) const
{
assert(i < this->length());
return this->value[i];
}
# endif//GLM_FORCE_SIZE_FUNC

//////////////////////////////////////////////////////////////
// Operators

template
GLM_FUNC_QUALIFIER tmat3x3 & tmat3x3::operator=(tmat3x3 const & m)
{
this->value[0] = m[0];
this->value[1] = m[1];
this->value[2] = m[2];
return *this;
}

template
template
GLM_FUNC_QUALIFIER tmat3x3 & tmat3x3::operator=(tmat3x3 const & m)
{
this->value[0] = m[0];
this->value[1] = m[1];
this->value[2] = m[2];
return *this;
}

template
template
GLM_FUNC_QUALIFIER tmat3x3 & tmat3x3::operator+=(U s)
{
this->value[0] += s;
this->value[1] += s;
this->value[2] += s;
return *this;
}

template
template
GLM_FUNC_QUALIFIER tmat3x3 & tmat3x3::operator+=(tmat3x3 const & m)
{
this->value[0] += m[0];
this->value[1] += m[1];
this->value[2] += m[2];
return *this;
}

template
template
GLM_FUNC_QUALIFIER tmat3x3 & tmat3x3::operator-=(U s)
{
this->value[0] -= s;
this->value[1] -= s;
this->value[2] -= s;
return *this;
}

template
template
GLM_FUNC_QUALIFIER tmat3x3 & tmat3x3::operator-=(tmat3x3 const & m)
{
this->value[0] -= m[0];
this->value[1] -= m[1];
this->value[2] -= m[2];
return *this;
}

template
template
GLM_FUNC_QUALIFIER tmat3x3 & tmat3x3::operator*=(U s)
{
this->value[0] *= s;
this->value[1] *= s;
this->value[2] *= s;
return *this;
}

template
template
GLM_FUNC_QUALIFIER tmat3x3 & tmat3x3::operator*=(tmat3x3 const & m)
{
return (*this = *this * m);
}

template
template
GLM_FUNC_QUALIFIER tmat3x3 & tmat3x3::operator/=(U s)
{
this->value[0] /= s;
this->value[1] /= s;
this->value[2] /= s;
return *this;
}

template
template
GLM_FUNC_QUALIFIER tmat3x3 & tmat3x3::operator/=(tmat3x3 const & m)
{
return (*this = *this * detail::compute_inverse(m));
}

template
GLM_FUNC_QUALIFIER tmat3x3 & tmat3x3::operator++()
{
++this->value[0];
++this->value[1];
++this->value[2];
return *this;
}

template
GLM_FUNC_QUALIFIER tmat3x3 & tmat3x3::operator–()
{
–this->value[0];
–this->value[1];
–this->value[2];
return *this;
}

template
GLM_FUNC_QUALIFIER tmat3x3 tmat3x3::operator++(int)
{
tmat3x3 Result(*this);
++*this;
return Result;
}

template
GLM_FUNC_QUALIFIER tmat3x3 tmat3x3::operator–(int)
{
tmat3x3 Result(*this);
–*this;
return Result;
}

//////////////////////////////////////////////////////////////
// Binary operators

template
GLM_FUNC_QUALIFIER tmat3x3 operator+(tmat3x3 const & m, T const & s)
{
return tmat3x3(
m[0] + s,
m[1] + s,
m[2] + s);
}

template
GLM_FUNC_QUALIFIER tmat3x3 operator+(T const & s, tmat3x3 const & m)
{
return tmat3x3(
m[0] + s,
m[1] + s,
m[2] + s);
}

template
GLM_FUNC_QUALIFIER tmat3x3 operator+(tmat3x3 const & m1, tmat3x3 const & m2)
{
return tmat3x3(
m1[0] + m2[0],
m1[1] + m2[1],
m1[2] + m2[2]);
}

template
GLM_FUNC_QUALIFIER tmat3x3 operator-(tmat3x3 const & m, T const & s)
{
return tmat3x3(
m[0] – s,
m[1] – s,
m[2] – s);
}

template
GLM_FUNC_QUALIFIER tmat3x3 operator-(T const & s, tmat3x3 const & m)
{
return tmat3x3(
s – m[0],
s – m[1],
s – m[2]);
}

template
GLM_FUNC_QUALIFIER tmat3x3 operator-(tmat3x3 const & m1, tmat3x3 const & m2)
{
return tmat3x3(
m1[0] – m2[0],
m1[1] – m2[1],
m1[2] – m2[2]);
}

template
GLM_FUNC_QUALIFIER tmat3x3 operator*(tmat3x3 const & m, T const & s)
{
return tmat3x3(
m[0] * s,
m[1] * s,
m[2] * s);
}

template
GLM_FUNC_QUALIFIER tmat3x3 operator*(T const & s, tmat3x3 const & m)
{
return tmat3x3(
m[0] * s,
m[1] * s,
m[2] * s);
}

template
GLM_FUNC_QUALIFIER typename tmat3x3::col_type operator*(tmat3x3 const & m, typename tmat3x3::row_type const & v)
{
return typename tmat3x3::col_type(
m[0][0] * v.x + m[1][0] * v.y + m[2][0] * v.z,
m[0][1] * v.x + m[1][1] * v.y + m[2][1] * v.z,
m[0][2] * v.x + m[1][2] * v.y + m[2][2] * v.z);
}

template
GLM_FUNC_QUALIFIER typename tmat3x3::row_type operator*(typename tmat3x3::col_type const & v, tmat3x3 const & m)
{
return typename tmat3x3::row_type(
m[0][0] * v.x + m[0][1] * v.y + m[0][2] * v.z,
m[1][0] * v.x + m[1][1] * v.y + m[1][2] * v.z,
m[2][0] * v.x + m[2][1] * v.y + m[2][2] * v.z);
}

template
GLM_FUNC_QUALIFIER tmat3x3 operator*(tmat3x3 const & m1, tmat3x3 const & m2)
{
T const SrcA00 = m1[0][0];
T const SrcA01 = m1[0][1];
T const SrcA02 = m1[0][2];
T const SrcA10 = m1[1][0];
T const SrcA11 = m1[1][1];
T const SrcA12 = m1[1][2];
T const SrcA20 = m1[2][0];
T const SrcA21 = m1[2][1];
T const SrcA22 = m1[2][2];

T const SrcB00 = m2[0][0];
T const SrcB01 = m2[0][1];
T const SrcB02 = m2[0][2];
T const SrcB10 = m2[1][0];
T const SrcB11 = m2[1][1];
T const SrcB12 = m2[1][2];
T const SrcB20 = m2[2][0];
T const SrcB21 = m2[2][1];
T const SrcB22 = m2[2][2];

tmat3x3 Result(uninitialize);
Result[0][0] = SrcA00 * SrcB00 + SrcA10 * SrcB01 + SrcA20 * SrcB02;
Result[0][1] = SrcA01 * SrcB00 + SrcA11 * SrcB01 + SrcA21 * SrcB02;
Result[0][2] = SrcA02 * SrcB00 + SrcA12 * SrcB01 + SrcA22 * SrcB02;
Result[1][0] = SrcA00 * SrcB10 + SrcA10 * SrcB11 + SrcA20 * SrcB12;
Result[1][1] = SrcA01 * SrcB10 + SrcA11 * SrcB11 + SrcA21 * SrcB12;
Result[1][2] = SrcA02 * SrcB10 + SrcA12 * SrcB11 + SrcA22 * SrcB12;
Result[2][0] = SrcA00 * SrcB20 + SrcA10 * SrcB21 + SrcA20 * SrcB22;
Result[2][1] = SrcA01 * SrcB20 + SrcA11 * SrcB21 + SrcA21 * SrcB22;
Result[2][2] = SrcA02 * SrcB20 + SrcA12 * SrcB21 + SrcA22 * SrcB22;
return Result;
}

template
GLM_FUNC_QUALIFIER tmat2x3 operator*(tmat3x3 const & m1, tmat2x3 const & m2)
{
return tmat2x3(
m1[0][0] * m2[0][0] + m1[1][0] * m2[0][1] + m1[2][0] * m2[0][2],
m1[0][1] * m2[0][0] + m1[1][1] * m2[0][1] + m1[2][1] * m2[0][2],
m1[0][2] * m2[0][0] + m1[1][2] * m2[0][1] + m1[2][2] * m2[0][2],
m1[0][0] * m2[1][0] + m1[1][0] * m2[1][1] + m1[2][0] * m2[1][2],
m1[0][1] * m2[1][0] + m1[1][1] * m2[1][1] + m1[2][1] * m2[1][2],
m1[0][2] * m2[1][0] + m1[1][2] * m2[1][1] + m1[2][2] * m2[1][2]);
}

template
GLM_FUNC_QUALIFIER tmat4x3 operator*(tmat3x3 const & m1, tmat4x3 const & m2)
{
return tmat4x3(
m1[0][0] * m2[0][0] + m1[1][0] * m2[0][1] + m1[2][0] * m2[0][2],
m1[0][1] * m2[0][0] + m1[1][1] * m2[0][1] + m1[2][1] * m2[0][2],
m1[0][2] * m2[0][0] + m1[1][2] * m2[0][1] + m1[2][2] * m2[0][2],
m1[0][0] * m2[1][0] + m1[1][0] * m2[1][1] + m1[2][0] * m2[1][2],
m1[0][1] * m2[1][0] + m1[1][1] * m2[1][1] + m1[2][1] * m2[1][2],
m1[0][2] * m2[1][0] + m1[1][2] * m2[1][1] + m1[2][2] * m2[1][2],
m1[0][0] * m2[2][0] + m1[1][0] * m2[2][1] + m1[2][0] * m2[2][2],
m1[0][1] * m2[2][0] + m1[1][1] * m2[2][1] + m1[2][1] * m2[2][2],
m1[0][2] * m2[2][0] + m1[1][2] * m2[2][1] + m1[2][2] * m2[2][2],
m1[0][0] * m2[3][0] + m1[1][0] * m2[3][1] + m1[2][0] * m2[3][2],
m1[0][1] * m2[3][0] + m1[1][1] * m2[3][1] + m1[2][1] * m2[3][2],
m1[0][2] * m2[3][0] + m1[1][2] * m2[3][1] + m1[2][2] * m2[3][2]);
}

template
GLM_FUNC_QUALIFIER tmat3x3 operator/(tmat3x3 const & m, T const & s)
{
return tmat3x3(
m[0] / s,
m[1] / s,
m[2] / s);
}

template
GLM_FUNC_QUALIFIER tmat3x3 operator/(T const & s, tmat3x3 const & m)
{
return tmat3x3(
s / m[0],
s / m[1],
s / m[2]);
}

template
GLM_FUNC_QUALIFIER typename tmat3x3::col_type operator/(tmat3x3 const & m, typename tmat3x3::row_type const & v)
{
return detail::compute_inverse(m) * v;
}

template
GLM_FUNC_QUALIFIER typename tmat3x3::row_type operator/(typename tmat3x3::col_type const & v, tmat3x3 const & m)
{
return v * detail::compute_inverse(m);
}

template
GLM_FUNC_QUALIFIER tmat3x3 operator/(tmat3x3 const & m1, tmat3x3 const & m2)
{
tmat3x3 m1_copy(m1);
return m1_copy /= m2;
}

// Unary constant operators
template
GLM_FUNC_QUALIFIER tmat3x3 const operator-(tmat3x3 const & m)
{
return tmat3x3(
-m[0],
-m[1],
-m[2]);
}

//////////////////////////////////////
// Boolean operators

template
GLM_FUNC_QUALIFIER bool operator==(tmat3x3 const & m1, tmat3x3 const & m2)
{
return (m1[0] == m2[0]) && (m1[1] == m2[1]) && (m1[2] == m2[2]);
}

template
GLM_FUNC_QUALIFIER bool operator!=(tmat3x3 const & m1, tmat3x3 const & m2)
{
return (m1[0] != m2[0]) || (m1[1] != m2[1]) || (m1[2] != m2[2]);
}
} //namespace glm