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+///////////////////////////////////////////////////////////////////////////////////////////////////
+// OpenGL Mathematics Copyright (c) 2005 - 2011 G-Truc Creation (www.g-truc.net)
+///////////////////////////////////////////////////////////////////////////////////////////////////
+// Created : 2005-01-27
+// Updated : 2010-02-03
+// Licence : This source is under MIT License
+// File : glm/core/type_mat3x3.inl
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+namespace glm{
+namespace detail
+{
+ template <typename T>
+ GLM_FUNC_QUALIFIER typename tmat3x3<T>::size_type tmat3x3<T>::col_size()
+ {
+ return 3;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER typename tmat3x3<T>::size_type tmat3x3<T>::row_size()
+ {
+ return 3;
+ }
+
+ //////////////////////////////////////
+ // Accesses
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER typename tmat3x3<T>::col_type &
+ tmat3x3<T>::operator[]
+ (
+ size_type i
+ )
+ {
+ assert(i < this->row_size());
+ return this->value[i];
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER typename tmat3x3<T>::col_type const &
+ tmat3x3<T>::operator[]
+ (
+ size_type i
+ ) const
+ {
+ assert(i < this->row_size());
+ return this->value[i];
+ }
+
+ //////////////////////////////////////////////////////////////
+ // Constructors
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T>::tmat3x3()
+ {
+ value_type const Zero(0);
+ value_type const One(1);
+ this->value[0] = col_type(One, Zero, Zero);
+ this->value[1] = col_type(Zero, One, Zero);
+ this->value[2] = col_type(Zero, Zero, One);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T>::tmat3x3
+ (
+ tmat3x3<T> const & m
+ )
+ {
+ this->value[0] = m.value[0];
+ this->value[1] = m.value[1];
+ this->value[2] = m.value[2];
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T>::tmat3x3
+ (
+ ctor
+ )
+ {}
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T>::tmat3x3
+ (
+ value_type const & s
+ )
+ {
+ value_type const Zero(0);
+ this->value[0] = col_type(s, Zero, Zero);
+ this->value[1] = col_type(Zero, s, Zero);
+ this->value[2] = col_type(Zero, Zero, s);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T>::tmat3x3
+ (
+ value_type const & x0, value_type const & y0, value_type const & z0,
+ value_type const & x1, value_type const & y1, value_type const & z1,
+ value_type const & x2, value_type const & y2, value_type 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 <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T>::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;
+ }
+
+ //////////////////////////////////////
+ // Convertion constructors
+ template <typename T>
+ template <typename U>
+ GLM_FUNC_DECL tmat3x3<T>::tmat3x3
+ (
+ U const & s
+ )
+ {
+ value_type const Zero(0);
+ this->value[0] = tvec3<T>(value_type(s), Zero, Zero);
+ this->value[1] = tvec3<T>(Zero, value_type(s), Zero);
+ this->value[2] = tvec3<T>(Zero, Zero, value_type(s));
+ }
+
+ template <typename T>
+ template <
+ typename X1, typename Y1, typename Z1,
+ typename X2, typename Y2, typename Z2,
+ typename X3, typename Y3, typename Z3>
+ GLM_FUNC_DECL tmat3x3<T>::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(value_type(x1), value_type(y1), value_type(z1));
+ this->value[1] = col_type(value_type(x2), value_type(y2), value_type(z2));
+ this->value[2] = col_type(value_type(x3), value_type(y3), value_type(z3));
+ }
+
+ template <typename T>
+ template <typename V1, typename V2, typename V3>
+ GLM_FUNC_DECL tmat3x3<T>::tmat3x3
+ (
+ tvec3<V1> const & v1,
+ tvec3<V2> const & v2,
+ tvec3<V3> const & v3
+ )
+ {
+ this->value[0] = col_type(v1);
+ this->value[1] = col_type(v2);
+ this->value[2] = col_type(v3);
+ }
+
+ //////////////////////////////////////////////////////////////
+ // Conversions
+
+ template <typename T>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat3x3<T>::tmat3x3
+ (
+ tmat3x3<U> const & m
+ )
+ {
+ this->value[0] = col_type(m[0]);
+ this->value[1] = col_type(m[1]);
+ this->value[2] = col_type(m[2]);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T>::tmat3x3
+ (
+ tmat2x2<T> const & m
+ )
+ {
+ this->value[0] = col_type(m[0], value_type(0));
+ this->value[1] = col_type(m[1], value_type(0));
+ this->value[2] = col_type(detail::tvec2<T>(0), value_type(1));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T>::tmat3x3
+ (
+ tmat4x4<T> const & m
+ )
+ {
+ this->value[0] = col_type(m[0]);
+ this->value[1] = col_type(m[1]);
+ this->value[2] = col_type(m[2]);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T>::tmat3x3
+ (
+ tmat2x3<T> const & m
+ )
+ {
+ this->value[0] = m[0];
+ this->value[1] = m[1];
+ this->value[2] = col_type(detail::tvec2<T>(0), value_type(1));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T>::tmat3x3
+ (
+ tmat3x2<T> const & m
+ )
+ {
+ this->value[0] = col_type(m[0], value_type(0));
+ this->value[1] = col_type(m[1], value_type(0));
+ this->value[2] = col_type(m[2], value_type(1));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T>::tmat3x3
+ (
+ tmat2x4<T> const & m
+ )
+ {
+ this->value[0] = col_type(m[0]);
+ this->value[1] = col_type(m[1]);
+ this->value[2] = col_type(detail::tvec2<T>(0), value_type(1));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T>::tmat3x3
+ (
+ tmat4x2<T> const & m
+ )
+ {
+ this->value[0] = col_type(m[0], value_type(0));
+ this->value[1] = col_type(m[1], value_type(0));
+ this->value[2] = col_type(m[2], value_type(1));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T>::tmat3x3
+ (
+ tmat3x4<T> const & m
+ )
+ {
+ this->value[0] = col_type(m[0]);
+ this->value[1] = col_type(m[1]);
+ this->value[2] = col_type(m[2]);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T>::tmat3x3
+ (
+ tmat4x3<T> const & m
+ )
+ {
+ this->value[0] = m[0];
+ this->value[1] = m[1];
+ this->value[2] = m[2];
+ }
+
+ //////////////////////////////////////////////////////////////
+ // Operators
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T> & tmat3x3<T>::operator=
+ (
+ tmat3x3<T> const & m
+ )
+ {
+ this->value[0] = m[0];
+ this->value[1] = m[1];
+ this->value[2] = m[2];
+ return *this;
+ }
+
+ template <typename T>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat3x3<T> & tmat3x3<T>::operator=
+ (
+ tmat3x3<U> const & m
+ )
+ {
+ this->value[0] = m[0];
+ this->value[1] = m[1];
+ this->value[2] = m[2];
+ return *this;
+ }
+
+ template <typename T>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat3x3<T> & tmat3x3<T>::operator+=
+ (
+ U const & s
+ )
+ {
+ this->value[0] += s;
+ this->value[1] += s;
+ this->value[2] += s;
+ return *this;
+ }
+
+ template <typename T>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat3x3<T> & tmat3x3<T>::operator+=
+ (
+ tmat3x3<U> const & m
+ )
+ {
+ this->value[0] += m[0];
+ this->value[1] += m[1];
+ this->value[2] += m[2];
+ return *this;
+ }
+
+ template <typename T>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat3x3<T> & tmat3x3<T>::operator-=
+ (
+ U const & s
+ )
+ {
+ this->value[0] -= s;
+ this->value[1] -= s;
+ this->value[2] -= s;
+ return *this;
+ }
+
+ template <typename T>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat3x3<T> & tmat3x3<T>::operator-=
+ (
+ tmat3x3<U> const & m
+ )
+ {
+ this->value[0] -= m[0];
+ this->value[1] -= m[1];
+ this->value[2] -= m[2];
+ return *this;
+ }
+
+ template <typename T>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat3x3<T> & tmat3x3<T>::operator*=
+ (
+ U const & s
+ )
+ {
+ this->value[0] *= s;
+ this->value[1] *= s;
+ this->value[2] *= s;
+ return *this;
+ }
+
+ template <typename T>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat3x3<T> & tmat3x3<T>::operator*=
+ (
+ tmat3x3<U> const & m
+ )
+ {
+ return (*this = *this * m);
+ }
+
+ template <typename T>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat3x3<T> & tmat3x3<T>::operator/=
+ (
+ U const & s
+ )
+ {
+ this->value[0] /= s;
+ this->value[1] /= s;
+ this->value[2] /= s;
+ return *this;
+ }
+
+ template <typename T>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tmat3x3<T> & tmat3x3<T>::operator/=
+ (
+ tmat3x3<U> const & m
+ )
+ {
+ return (*this = *this / m);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T> & tmat3x3<T>::operator++ ()
+ {
+ ++this->value[0];
+ ++this->value[1];
+ ++this->value[2];
+ return *this;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T> & tmat3x3<T>::operator-- ()
+ {
+ --this->value[0];
+ --this->value[1];
+ --this->value[2];
+ return *this;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T> tmat3x3<T>::_inverse() const
+ {
+ T S00 = value[0][0];
+ T S01 = value[0][1];
+ T S02 = value[0][2];
+
+ T S10 = value[1][0];
+ T S11 = value[1][1];
+ T S12 = value[1][2];
+
+ T S20 = value[2][0];
+ T S21 = value[2][1];
+ T S22 = value[2][2];
+/*
+ tmat3x3<T> Inverse(
+ + (S11 * S22 - S21 * S12),
+ - (S10 * S22 - S20 * S12),
+ + (S10 * S21 - S20 * S11),
+ - (S01 * S22 - S21 * S02),
+ + (S00 * S22 - S20 * S02),
+ - (S00 * S21 - S20 * S01),
+ + (S01 * S12 - S11 * S02),
+ - (S00 * S12 - S10 * S02),
+ + (S00 * S11 - S10 * S01));
+*/
+ tmat3x3<T> Inverse(
+ S11 * S22 - S21 * S12,
+ S12 * S20 - S22 * S10,
+ S10 * S21 - S20 * S11,
+ S02 * S21 - S01 * S22,
+ S00 * S22 - S02 * S20,
+ S01 * S20 - S00 * S21,
+ S12 * S01 - S11 * S02,
+ S10 * S02 - S12 * S00,
+ S11 * S00 - S10 * S01);
+
+ T Determinant = S00 * (S11 * S22 - S21 * S12)
+ - S10 * (S01 * S22 - S21 * S02)
+ + S20 * (S01 * S12 - S11 * S02);
+
+ Inverse /= Determinant;
+ return Inverse;
+ }
+
+ //////////////////////////////////////////////////////////////
+ // Binary operators
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T> operator+
+ (
+ tmat3x3<T> const & m,
+ typename tmat3x3<T>::value_type const & s
+ )
+ {
+ return tmat3x3<T>(
+ m[0] + s,
+ m[1] + s,
+ m[2] + s);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T> operator+
+ (
+ typename tmat3x3<T>::value_type const & s,
+ tmat3x3<T> const & m
+ )
+ {
+ return tmat3x3<T>(
+ m[0] + s,
+ m[1] + s,
+ m[2] + s);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T> operator+
+ (
+ tmat3x3<T> const & m1,
+ tmat3x3<T> const & m2
+ )
+ {
+ return tmat3x3<T>(
+ m1[0] + m2[0],
+ m1[1] + m2[1],
+ m1[2] + m2[2]);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T> operator-
+ (
+ tmat3x3<T> const & m,
+ typename tmat3x3<T>::value_type const & s
+ )
+ {
+ return tmat3x3<T>(
+ m[0] - s,
+ m[1] - s,
+ m[2] - s);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T> operator-
+ (
+ typename tmat3x3<T>::value_type const & s,
+ tmat3x3<T> const & m
+ )
+ {
+ return tmat3x3<T>(
+ s - m[0],
+ s - m[1],
+ s - m[2]);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T> operator-
+ (
+ tmat3x3<T> const & m1,
+ tmat3x3<T> const & m2
+ )
+ {
+ return tmat3x3<T>(
+ m1[0] - m2[0],
+ m1[1] - m2[1],
+ m1[2] - m2[2]);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T> operator*
+ (
+ tmat3x3<T> const & m,
+ typename tmat3x3<T>::value_type const & s
+ )
+ {
+ return tmat3x3<T>(
+ m[0] * s,
+ m[1] * s,
+ m[2] * s);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T> operator*
+ (
+ typename tmat3x3<T>::value_type const & s,
+ tmat3x3<T> const & m
+ )
+ {
+ return tmat3x3<T>(
+ m[0] * s,
+ m[1] * s,
+ m[2] * s);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER typename tmat3x3<T>::col_type operator*
+ (
+ tmat3x3<T> const & m,
+ typename tmat3x3<T>::row_type const & v
+ )
+ {
+ return typename tmat3x3<T>::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 <typename T>
+ GLM_FUNC_QUALIFIER typename tmat3x3<T>::row_type operator*
+ (
+ typename tmat3x3<T>::col_type const & v,
+ tmat3x3<T> const & m
+ )
+ {
+ return typename tmat3x3<T>::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 <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T> operator*
+ (
+ tmat3x3<T> const & m1,
+ tmat3x3<T> const & m2
+ )
+ {
+ typename tmat3x3<T>::value_type const SrcA00 = m1[0][0];
+ typename tmat3x3<T>::value_type const SrcA01 = m1[0][1];
+ typename tmat3x3<T>::value_type const SrcA02 = m1[0][2];
+ typename tmat3x3<T>::value_type const SrcA10 = m1[1][0];
+ typename tmat3x3<T>::value_type const SrcA11 = m1[1][1];
+ typename tmat3x3<T>::value_type const SrcA12 = m1[1][2];
+ typename tmat3x3<T>::value_type const SrcA20 = m1[2][0];
+ typename tmat3x3<T>::value_type const SrcA21 = m1[2][1];
+ typename tmat3x3<T>::value_type const SrcA22 = m1[2][2];
+
+ typename tmat3x3<T>::value_type const SrcB00 = m2[0][0];
+ typename tmat3x3<T>::value_type const SrcB01 = m2[0][1];
+ typename tmat3x3<T>::value_type const SrcB02 = m2[0][2];
+ typename tmat3x3<T>::value_type const SrcB10 = m2[1][0];
+ typename tmat3x3<T>::value_type const SrcB11 = m2[1][1];
+ typename tmat3x3<T>::value_type const SrcB12 = m2[1][2];
+ typename tmat3x3<T>::value_type const SrcB20 = m2[2][0];
+ typename tmat3x3<T>::value_type const SrcB21 = m2[2][1];
+ typename tmat3x3<T>::value_type const SrcB22 = m2[2][2];
+
+ tmat3x3<T> Result(tmat3x3<T>::null);
+ 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 <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T> operator/
+ (
+ tmat3x3<T> const & m,
+ typename tmat3x3<T>::value_type const & s
+ )
+ {
+ return tmat3x3<T>(
+ m[0] / s,
+ m[1] / s,
+ m[2] / s);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T> operator/
+ (
+ typename tmat3x3<T>::value_type const & s,
+ tmat3x3<T> const & m
+ )
+ {
+ return tmat3x3<T>(
+ s / m[0],
+ s / m[1],
+ s / m[2]);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER typename tmat3x3<T>::col_type operator/
+ (
+ tmat3x3<T> const & m,
+ typename tmat3x3<T>::row_type const & v
+ )
+ {
+ return m._inverse() * v;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER typename tmat3x3<T>::row_type operator/
+ (
+ typename tmat3x3<T>::col_type const & v,
+ tmat3x3<T> const & m
+ )
+ {
+ return v * m._inverse();
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T> operator/
+ (
+ tmat3x3<T> const & m1,
+ tmat3x3<T> const & m2
+ )
+ {
+ return m1 * m2._inverse();
+ }
+
+ // Unary constant operators
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T> const operator-
+ (
+ tmat3x3<T> const & m
+ )
+ {
+ return tmat3x3<T>(
+ -m[0],
+ -m[1],
+ -m[2]);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T> const operator++
+ (
+ tmat3x3<T> const & m,
+ int
+ )
+ {
+ return tmat3x3<T>(
+ m[0] + T(1),
+ m[1] + T(1),
+ m[2] + T(1));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T> const operator--
+ (
+ tmat3x3<T> const & m,
+ int
+ )
+ {
+ return tmat3x3<T>(
+ m[0] - T(1),
+ m[1] - T(1),
+ m[2] - T(1));
+ }
+
+ //////////////////////////////////////
+ // Boolean operators
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER bool operator==
+ (
+ tmat3x3<T> const & m1,
+ tmat3x3<T> const & m2
+ )
+ {
+ return (m1[0] == m2[0]) && (m1[1] == m2[1]) && (m1[2] == m2[2]);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER bool operator!=
+ (
+ tmat3x3<T> const & m1,
+ tmat3x3<T> const & m2
+ )
+ {
+ return (m1[0] != m2[0]) || (m1[1] != m2[1]) || (m1[2] != m2[2]);
+ }
+
+} //namespace detail
+} //namespace glm