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@@ -31,48 +31,48 @@
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namespace glm{
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namespace detail
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{
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- template <typename T>
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- GLM_FUNC_QUALIFIER typename tquat<T>::size_type tquat<T>::length() const
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- {
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- return 4;
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- }
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-
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- template <typename T>
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- GLM_FUNC_QUALIFIER tquat<T>::tquat() :
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- x(0),
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- y(0),
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- z(0),
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- w(1)
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- {}
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-
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- template <typename T>
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- GLM_FUNC_QUALIFIER tquat<T>::tquat
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER typename tquat<T>::size_type tquat<T>::length() const
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+ {
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+ return 4;
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+ }
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+
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER tquat<T>::tquat() :
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+ x(0),
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+ y(0),
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+ z(0),
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+ w(1)
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+ {}
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+
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER tquat<T>::tquat
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(
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value_type const & s,
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tvec3<T> const & v
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) :
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- x(v.x),
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- y(v.y),
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- z(v.z),
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- w(s)
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- {}
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+ x(v.x),
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+ y(v.y),
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+ z(v.z),
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+ w(s)
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+ {}
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- template <typename T>
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- GLM_FUNC_QUALIFIER tquat<T>::tquat
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER tquat<T>::tquat
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(
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value_type const & w,
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value_type const & x,
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value_type const & y,
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value_type const & z
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) :
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- x(x),
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- y(y),
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- z(z),
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- w(w)
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- {}
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+ x(x),
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+ y(y),
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+ z(z),
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+ w(w)
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+ {}
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- //////////////////////////////////////////////////////////////
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- // tquat conversions
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+ //////////////////////////////////////////////////////////////
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+ // tquat conversions
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//template <typename valType>
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//GLM_FUNC_QUALIFIER tquat<valType>::tquat
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@@ -107,70 +107,70 @@ namespace detail
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this->z = c.x * c.y * s.z - s.x * s.y * c.z;
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}
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- template <typename T>
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- GLM_FUNC_QUALIFIER tquat<T>::tquat
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER tquat<T>::tquat
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(
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tmat3x3<T> const & m
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)
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- {
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+ {
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*this = quat_cast(m);
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- }
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+ }
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- template <typename T>
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- GLM_FUNC_QUALIFIER tquat<T>::tquat
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER tquat<T>::tquat
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(
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tmat4x4<T> const & m
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)
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- {
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+ {
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*this = quat_cast(m);
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- }
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+ }
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- //////////////////////////////////////////////////////////////
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- // tquat<T> accesses
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+ //////////////////////////////////////////////////////////////
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+ // tquat<T> accesses
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- template <typename T>
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+ template <typename T>
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GLM_FUNC_QUALIFIER typename tquat<T>::value_type & tquat<T>::operator [] (int i)
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- {
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- return (&x)[i];
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- }
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+ {
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+ return (&x)[i];
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+ }
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- template <typename T>
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- GLM_FUNC_QUALIFIER typename tquat<T>::value_type const & tquat<T>::operator [] (int i) const
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- {
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- return (&x)[i];
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- }
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER typename tquat<T>::value_type const & tquat<T>::operator [] (int i) const
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+ {
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+ return (&x)[i];
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+ }
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- //////////////////////////////////////////////////////////////
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- // tquat<valType> operators
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+ //////////////////////////////////////////////////////////////
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+ // tquat<valType> operators
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- template <typename T>
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- GLM_FUNC_QUALIFIER tquat<T> & tquat<T>::operator *=
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER tquat<T> & tquat<T>::operator *=
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(
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value_type const & s
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)
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- {
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- this->w *= s;
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- this->x *= s;
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- this->y *= s;
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- this->z *= s;
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- return *this;
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- }
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+ {
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+ this->w *= s;
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+ this->x *= s;
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+ this->y *= s;
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+ this->z *= s;
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+ return *this;
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+ }
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- template <typename T>
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- GLM_FUNC_QUALIFIER tquat<T> & tquat<T>::operator /=
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER tquat<T> & tquat<T>::operator /=
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(
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value_type const & s
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)
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- {
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- this->w /= s;
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- this->x /= s;
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- this->y /= s;
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- this->z /= s;
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- return *this;
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- }
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+ {
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+ this->w /= s;
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+ this->x /= s;
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+ this->y /= s;
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+ this->z /= s;
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+ return *this;
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+ }
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- //////////////////////////////////////////////////////////////
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- // tquat<valType> external operators
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+ //////////////////////////////////////////////////////////////
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+ // tquat<valType> external operators
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template <typename T>
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GLM_FUNC_QUALIFIER detail::tquat<T> operator-
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@@ -188,11 +188,11 @@ namespace detail
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detail::tquat<T> const & p
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)
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{
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- return detail::tquat<T>(
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- q.w + p.w,
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- q.x + p.x,
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- q.y + p.y,
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- q.z + p.z);
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+ return detail::tquat<T>(
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+ q.w + p.w,
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+ q.x + p.x,
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+ q.y + p.y,
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+ q.z + p.z);
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}
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template <typename T>
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@@ -202,11 +202,11 @@ namespace detail
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detail::tquat<T> const & p
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)
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{
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- return detail::tquat<T>(
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- q.w * p.w - q.x * p.x - q.y * p.y - q.z * p.z,
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- q.w * p.x + q.x * p.w + q.y * p.z - q.z * p.y,
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- q.w * p.y + q.y * p.w + q.z * p.x - q.x * p.z,
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- q.w * p.z + q.z * p.w + q.x * p.y - q.y * p.x);
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+ return detail::tquat<T>(
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+ q.w * p.w - q.x * p.x - q.y * p.y - q.z * p.z,
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+ q.w * p.x + q.x * p.w + q.y * p.z - q.z * p.y,
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+ q.w * p.y + q.y * p.w + q.z * p.x - q.x * p.z,
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+ q.w * p.z + q.z * p.w + q.x * p.y - q.y * p.x);
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}
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// Transformation
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@@ -317,108 +317,108 @@ namespace detail
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}//namespace detail
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////////////////////////////////////////////////////////
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- template <typename T>
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+ template <typename T>
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GLM_FUNC_QUALIFIER T length
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(
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detail::tquat<T> const & q
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)
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- {
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+ {
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return glm::sqrt(dot(q, q));
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- }
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+ }
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- template <typename T>
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- GLM_FUNC_QUALIFIER detail::tquat<T> normalize
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER detail::tquat<T> normalize
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(
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detail::tquat<T> const & q
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)
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- {
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- typename detail::tquat<T>::value_type len = length(q);
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- if(len <= typename detail::tquat<T>::value_type(0)) // Problem
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- return detail::tquat<T>(1, 0, 0, 0);
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- typename detail::tquat<T>::value_type oneOverLen = typename detail::tquat<T>::value_type(1) / len;
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- return detail::tquat<T>(q.w * oneOverLen, q.x * oneOverLen, q.y * oneOverLen, q.z * oneOverLen);
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- }
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+ {
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+ typename detail::tquat<T>::value_type len = length(q);
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+ if(len <= typename detail::tquat<T>::value_type(0)) // Problem
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+ return detail::tquat<T>(1, 0, 0, 0);
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+ typename detail::tquat<T>::value_type oneOverLen = typename detail::tquat<T>::value_type(1) / len;
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+ return detail::tquat<T>(q.w * oneOverLen, q.x * oneOverLen, q.y * oneOverLen, q.z * oneOverLen);
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+ }
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- template <typename T>
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- GLM_FUNC_QUALIFIER T dot
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER T dot
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(
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detail::tquat<T> const & q1,
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detail::tquat<T> const & q2
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)
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- {
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- return q1.x * q2.x + q1.y * q2.y + q1.z * q2.z + q1.w * q2.w;
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- }
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+ {
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+ return q1.x * q2.x + q1.y * q2.y + q1.z * q2.z + q1.w * q2.w;
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+ }
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- template <typename T>
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- GLM_FUNC_QUALIFIER detail::tquat<T> cross
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER detail::tquat<T> cross
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(
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detail::tquat<T> const & q1,
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detail::tquat<T> const & q2
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)
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- {
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- return detail::tquat<T>(
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- q1.w * q2.w - q1.x * q2.x - q1.y * q2.y - q1.z * q2.z,
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- q1.w * q2.x + q1.x * q2.w + q1.y * q2.z - q1.z * q2.y,
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- q1.w * q2.y + q1.y * q2.w + q1.z * q2.x - q1.x * q2.z,
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- q1.w * q2.z + q1.z * q2.w + q1.x * q2.y - q1.y * q2.x);
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- }
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+ {
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+ return detail::tquat<T>(
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+ q1.w * q2.w - q1.x * q2.x - q1.y * q2.y - q1.z * q2.z,
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+ q1.w * q2.x + q1.x * q2.w + q1.y * q2.z - q1.z * q2.y,
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+ q1.w * q2.y + q1.y * q2.w + q1.z * q2.x - q1.x * q2.z,
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+ q1.w * q2.z + q1.z * q2.w + q1.x * q2.y - q1.y * q2.x);
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+ }
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/*
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// (x * sin(1 - a) * angle / sin(angle)) + (y * sin(a) * angle / sin(angle))
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- template <typename T>
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- GLM_FUNC_QUALIFIER detail::tquat<T> mix
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER detail::tquat<T> mix
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(
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detail::tquat<T> const & x,
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detail::tquat<T> const & y,
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typename detail::tquat<T>::value_type const & a
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)
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- {
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- if(a <= typename detail::tquat<T>::value_type(0)) return x;
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- if(a >= typename detail::tquat<T>::value_type(1)) return y;
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-
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- float fCos = dot(x, y);
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- detail::tquat<T> y2(y); //BUG!!! tquat<T> y2;
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- if(fCos < typename detail::tquat<T>::value_type(0))
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- {
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- y2 = -y;
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- fCos = -fCos;
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- }
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-
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- //if(fCos > 1.0f) // problem
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- float k0, k1;
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- if(fCos > typename detail::tquat<T>::value_type(0.9999))
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- {
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- k0 = typename detail::tquat<T>::value_type(1) - a;
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- k1 = typename detail::tquat<T>::value_type(0) + a; //BUG!!! 1.0f + a;
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- }
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- else
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- {
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- typename detail::tquat<T>::value_type fSin = sqrt(T(1) - fCos * fCos);
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- typename detail::tquat<T>::value_type fAngle = atan(fSin, fCos);
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- typename detail::tquat<T>::value_type fOneOverSin = T(1) / fSin;
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- k0 = sin((typename detail::tquat<T>::value_type(1) - a) * fAngle) * fOneOverSin;
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- k1 = sin((typename detail::tquat<T>::value_type(0) + a) * fAngle) * fOneOverSin;
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- }
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-
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- return detail::tquat<T>(
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- k0 * x.w + k1 * y2.w,
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- k0 * x.x + k1 * y2.x,
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- k0 * x.y + k1 * y2.y,
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- k0 * x.z + k1 * y2.z);
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- }
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-
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- template <typename T>
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- GLM_FUNC_QUALIFIER detail::tquat<T> mix2
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+ {
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+ if(a <= typename detail::tquat<T>::value_type(0)) return x;
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+ if(a >= typename detail::tquat<T>::value_type(1)) return y;
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+
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+ float fCos = dot(x, y);
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+ detail::tquat<T> y2(y); //BUG!!! tquat<T> y2;
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+ if(fCos < typename detail::tquat<T>::value_type(0))
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+ {
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+ y2 = -y;
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+ fCos = -fCos;
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+ }
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+
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+ //if(fCos > 1.0f) // problem
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+ float k0, k1;
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+ if(fCos > typename detail::tquat<T>::value_type(0.9999))
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+ {
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+ k0 = typename detail::tquat<T>::value_type(1) - a;
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+ k1 = typename detail::tquat<T>::value_type(0) + a; //BUG!!! 1.0f + a;
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+ }
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+ else
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+ {
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+ typename detail::tquat<T>::value_type fSin = sqrt(T(1) - fCos * fCos);
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+ typename detail::tquat<T>::value_type fAngle = atan(fSin, fCos);
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+ typename detail::tquat<T>::value_type fOneOverSin = T(1) / fSin;
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+ k0 = sin((typename detail::tquat<T>::value_type(1) - a) * fAngle) * fOneOverSin;
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+ k1 = sin((typename detail::tquat<T>::value_type(0) + a) * fAngle) * fOneOverSin;
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+ }
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+
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+ return detail::tquat<T>(
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+ k0 * x.w + k1 * y2.w,
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+ k0 * x.x + k1 * y2.x,
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+ k0 * x.y + k1 * y2.y,
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+ k0 * x.z + k1 * y2.z);
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+ }
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+
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER detail::tquat<T> mix2
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(
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detail::tquat<T> const & x,
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detail::tquat<T> const & y,
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T const & a
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)
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- {
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- bool flip = false;
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+ {
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+ bool flip = false;
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if(a <= T(0)) return x;
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- if(a >= T(1)) return y;
|
|
|
+ if(a >= T(1)) return y;
|
|
|
|
|
|
- T cos_t = dot(x, y);
|
|
|
+ T cos_t = dot(x, y);
|
|
|
if(cos_t < T(0))
|
|
|
{
|
|
|
cos_t = -cos_t;
|
|
|
@@ -440,180 +440,180 @@ namespace detail
|
|
|
if(flip)
|
|
|
alpha = -alpha;
|
|
|
|
|
|
- return normalize(beta * x + alpha * y);
|
|
|
- }
|
|
|
+ return normalize(beta * x + alpha * y);
|
|
|
+ }
|
|
|
*/
|
|
|
- template <typename T>
|
|
|
- GLM_FUNC_QUALIFIER detail::tquat<T> mix
|
|
|
+ template <typename T>
|
|
|
+ GLM_FUNC_QUALIFIER detail::tquat<T> mix
|
|
|
(
|
|
|
detail::tquat<T> const & x,
|
|
|
detail::tquat<T> const & y,
|
|
|
T const & a
|
|
|
)
|
|
|
- {
|
|
|
+ {
|
|
|
T angle = acos(dot(x, y));
|
|
|
return (glm::sin((T(1) - a) * angle) * x + glm::sin(a * angle) * y) / glm::sin(angle);
|
|
|
}
|
|
|
|
|
|
- template <typename T>
|
|
|
- GLM_FUNC_QUALIFIER detail::tquat<T> conjugate
|
|
|
+ template <typename T>
|
|
|
+ GLM_FUNC_QUALIFIER detail::tquat<T> conjugate
|
|
|
(
|
|
|
detail::tquat<T> const & q
|
|
|
)
|
|
|
- {
|
|
|
- return detail::tquat<T>(q.w, -q.x, -q.y, -q.z);
|
|
|
- }
|
|
|
+ {
|
|
|
+ return detail::tquat<T>(q.w, -q.x, -q.y, -q.z);
|
|
|
+ }
|
|
|
|
|
|
- template <typename T>
|
|
|
- GLM_FUNC_QUALIFIER detail::tquat<T> inverse
|
|
|
+ template <typename T>
|
|
|
+ GLM_FUNC_QUALIFIER detail::tquat<T> inverse
|
|
|
(
|
|
|
detail::tquat<T> const & q
|
|
|
)
|
|
|
- {
|
|
|
- return conjugate(q) / dot(q, q);
|
|
|
- }
|
|
|
+ {
|
|
|
+ return conjugate(q) / dot(q, q);
|
|
|
+ }
|
|
|
|
|
|
- template <typename T>
|
|
|
- GLM_FUNC_QUALIFIER detail::tquat<T> rotate
|
|
|
+ template <typename T>
|
|
|
+ GLM_FUNC_QUALIFIER detail::tquat<T> rotate
|
|
|
(
|
|
|
detail::tquat<T> const & q,
|
|
|
typename detail::tquat<T>::value_type const & angle,
|
|
|
detail::tvec3<T> const & v
|
|
|
)
|
|
|
- {
|
|
|
+ {
|
|
|
detail::tvec3<T> Tmp = v;
|
|
|
|
|
|
- // Axis of rotation must be normalised
|
|
|
- typename detail::tquat<T>::value_type len = glm::length(Tmp);
|
|
|
- if(abs(len - T(1)) > T(0.001))
|
|
|
- {
|
|
|
- T oneOverLen = T(1) / len;
|
|
|
- Tmp.x *= oneOverLen;
|
|
|
- Tmp.y *= oneOverLen;
|
|
|
- Tmp.z *= oneOverLen;
|
|
|
- }
|
|
|
+ // Axis of rotation must be normalised
|
|
|
+ typename detail::tquat<T>::value_type len = glm::length(Tmp);
|
|
|
+ if(abs(len - T(1)) > T(0.001))
|
|
|
+ {
|
|
|
+ T oneOverLen = T(1) / len;
|
|
|
+ Tmp.x *= oneOverLen;
|
|
|
+ Tmp.y *= oneOverLen;
|
|
|
+ Tmp.z *= oneOverLen;
|
|
|
+ }
|
|
|
|
|
|
#ifdef GLM_FORCE_RADIANS
|
|
|
typename detail::tquat<T>::value_type const AngleRad(angle);
|
|
|
#else
|
|
|
- typename detail::tquat<T>::value_type const AngleRad = radians(angle);
|
|
|
+ typename detail::tquat<T>::value_type const AngleRad = radians(angle);
|
|
|
#endif
|
|
|
- typename detail::tquat<T>::value_type const Sin = sin(AngleRad * T(0.5));
|
|
|
+ typename detail::tquat<T>::value_type const Sin = sin(AngleRad * T(0.5));
|
|
|
|
|
|
return q * detail::tquat<T>(cos(AngleRad * T(0.5)), Tmp.x * Sin, Tmp.y * Sin, Tmp.z * Sin);
|
|
|
- //return gtc::quaternion::cross(q, detail::tquat<T>(cos(AngleRad * T(0.5)), Tmp.x * fSin, Tmp.y * fSin, Tmp.z * fSin));
|
|
|
+ //return gtc::quaternion::cross(q, detail::tquat<T>(cos(AngleRad * T(0.5)), Tmp.x * fSin, Tmp.y * fSin, Tmp.z * fSin));
|
|
|
}
|
|
|
|
|
|
template <typename T>
|
|
|
GLM_FUNC_QUALIFIER detail::tvec3<T> eulerAngles
|
|
|
(
|
|
|
- detail::tquat<T> const & x
|
|
|
- )
|
|
|
+ detail::tquat<T> const & x
|
|
|
+ )
|
|
|
{
|
|
|
return detail::tvec3<T>(pitch(x), yaw(x), roll(x));
|
|
|
}
|
|
|
|
|
|
- template <typename T>
|
|
|
- GLM_FUNC_QUALIFIER detail::tmat3x3<T> mat3_cast
|
|
|
+ template <typename T>
|
|
|
+ GLM_FUNC_QUALIFIER detail::tmat3x3<T> mat3_cast
|
|
|
(
|
|
|
detail::tquat<T> const & q
|
|
|
)
|
|
|
- {
|
|
|
- detail::tmat3x3<T> Result(T(1));
|
|
|
- Result[0][0] = 1 - 2 * q.y * q.y - 2 * q.z * q.z;
|
|
|
- Result[0][1] = 2 * q.x * q.y + 2 * q.w * q.z;
|
|
|
- Result[0][2] = 2 * q.x * q.z - 2 * q.w * q.y;
|
|
|
-
|
|
|
- Result[1][0] = 2 * q.x * q.y - 2 * q.w * q.z;
|
|
|
- Result[1][1] = 1 - 2 * q.x * q.x - 2 * q.z * q.z;
|
|
|
- Result[1][2] = 2 * q.y * q.z + 2 * q.w * q.x;
|
|
|
-
|
|
|
- Result[2][0] = 2 * q.x * q.z + 2 * q.w * q.y;
|
|
|
- Result[2][1] = 2 * q.y * q.z - 2 * q.w * q.x;
|
|
|
- Result[2][2] = 1 - 2 * q.x * q.x - 2 * q.y * q.y;
|
|
|
- return Result;
|
|
|
- }
|
|
|
+ {
|
|
|
+ detail::tmat3x3<T> Result(T(1));
|
|
|
+ Result[0][0] = 1 - 2 * q.y * q.y - 2 * q.z * q.z;
|
|
|
+ Result[0][1] = 2 * q.x * q.y + 2 * q.w * q.z;
|
|
|
+ Result[0][2] = 2 * q.x * q.z - 2 * q.w * q.y;
|
|
|
+
|
|
|
+ Result[1][0] = 2 * q.x * q.y - 2 * q.w * q.z;
|
|
|
+ Result[1][1] = 1 - 2 * q.x * q.x - 2 * q.z * q.z;
|
|
|
+ Result[1][2] = 2 * q.y * q.z + 2 * q.w * q.x;
|
|
|
+
|
|
|
+ Result[2][0] = 2 * q.x * q.z + 2 * q.w * q.y;
|
|
|
+ Result[2][1] = 2 * q.y * q.z - 2 * q.w * q.x;
|
|
|
+ Result[2][2] = 1 - 2 * q.x * q.x - 2 * q.y * q.y;
|
|
|
+ return Result;
|
|
|
+ }
|
|
|
|
|
|
- template <typename T>
|
|
|
- GLM_FUNC_QUALIFIER detail::tmat4x4<T> mat4_cast
|
|
|
+ template <typename T>
|
|
|
+ GLM_FUNC_QUALIFIER detail::tmat4x4<T> mat4_cast
|
|
|
(
|
|
|
detail::tquat<T> const & q
|
|
|
)
|
|
|
- {
|
|
|
- return detail::tmat4x4<T>(mat3_cast(q));
|
|
|
- }
|
|
|
+ {
|
|
|
+ return detail::tmat4x4<T>(mat3_cast(q));
|
|
|
+ }
|
|
|
|
|
|
- template <typename T>
|
|
|
- GLM_FUNC_QUALIFIER detail::tquat<T> quat_cast
|
|
|
+ template <typename T>
|
|
|
+ GLM_FUNC_QUALIFIER detail::tquat<T> quat_cast
|
|
|
(
|
|
|
detail::tmat3x3<T> const & m
|
|
|
)
|
|
|
- {
|
|
|
- typename detail::tquat<T>::value_type fourXSquaredMinus1 = m[0][0] - m[1][1] - m[2][2];
|
|
|
- typename detail::tquat<T>::value_type fourYSquaredMinus1 = m[1][1] - m[0][0] - m[2][2];
|
|
|
- typename detail::tquat<T>::value_type fourZSquaredMinus1 = m[2][2] - m[0][0] - m[1][1];
|
|
|
- typename detail::tquat<T>::value_type fourWSquaredMinus1 = m[0][0] + m[1][1] + m[2][2];
|
|
|
+ {
|
|
|
+ typename detail::tquat<T>::value_type fourXSquaredMinus1 = m[0][0] - m[1][1] - m[2][2];
|
|
|
+ typename detail::tquat<T>::value_type fourYSquaredMinus1 = m[1][1] - m[0][0] - m[2][2];
|
|
|
+ typename detail::tquat<T>::value_type fourZSquaredMinus1 = m[2][2] - m[0][0] - m[1][1];
|
|
|
+ typename detail::tquat<T>::value_type fourWSquaredMinus1 = m[0][0] + m[1][1] + m[2][2];
|
|
|
|
|
|
- int biggestIndex = 0;
|
|
|
- typename detail::tquat<T>::value_type fourBiggestSquaredMinus1 = fourWSquaredMinus1;
|
|
|
- if(fourXSquaredMinus1 > fourBiggestSquaredMinus1)
|
|
|
- {
|
|
|
- fourBiggestSquaredMinus1 = fourXSquaredMinus1;
|
|
|
- biggestIndex = 1;
|
|
|
- }
|
|
|
- if(fourYSquaredMinus1 > fourBiggestSquaredMinus1)
|
|
|
- {
|
|
|
- fourBiggestSquaredMinus1 = fourYSquaredMinus1;
|
|
|
- biggestIndex = 2;
|
|
|
- }
|
|
|
- if(fourZSquaredMinus1 > fourBiggestSquaredMinus1)
|
|
|
- {
|
|
|
- fourBiggestSquaredMinus1 = fourZSquaredMinus1;
|
|
|
- biggestIndex = 3;
|
|
|
- }
|
|
|
-
|
|
|
- typename detail::tquat<T>::value_type biggestVal = sqrt(fourBiggestSquaredMinus1 + T(1)) * T(0.5);
|
|
|
- typename detail::tquat<T>::value_type mult = T(0.25) / biggestVal;
|
|
|
-
|
|
|
- detail::tquat<T> Result;
|
|
|
- switch(biggestIndex)
|
|
|
- {
|
|
|
- case 0:
|
|
|
- Result.w = biggestVal;
|
|
|
- Result.x = (m[1][2] - m[2][1]) * mult;
|
|
|
- Result.y = (m[2][0] - m[0][2]) * mult;
|
|
|
- Result.z = (m[0][1] - m[1][0]) * mult;
|
|
|
- break;
|
|
|
- case 1:
|
|
|
- Result.w = (m[1][2] - m[2][1]) * mult;
|
|
|
- Result.x = biggestVal;
|
|
|
- Result.y = (m[0][1] + m[1][0]) * mult;
|
|
|
- Result.z = (m[2][0] + m[0][2]) * mult;
|
|
|
- break;
|
|
|
- case 2:
|
|
|
- Result.w = (m[2][0] - m[0][2]) * mult;
|
|
|
- Result.x = (m[0][1] + m[1][0]) * mult;
|
|
|
- Result.y = biggestVal;
|
|
|
- Result.z = (m[1][2] + m[2][1]) * mult;
|
|
|
- break;
|
|
|
- case 3:
|
|
|
- Result.w = (m[0][1] - m[1][0]) * mult;
|
|
|
- Result.x = (m[2][0] + m[0][2]) * mult;
|
|
|
- Result.y = (m[1][2] + m[2][1]) * mult;
|
|
|
- Result.z = biggestVal;
|
|
|
- break;
|
|
|
- }
|
|
|
- return Result;
|
|
|
- }
|
|
|
-
|
|
|
- template <typename T>
|
|
|
- GLM_FUNC_QUALIFIER detail::tquat<T> quat_cast
|
|
|
+ int biggestIndex = 0;
|
|
|
+ typename detail::tquat<T>::value_type fourBiggestSquaredMinus1 = fourWSquaredMinus1;
|
|
|
+ if(fourXSquaredMinus1 > fourBiggestSquaredMinus1)
|
|
|
+ {
|
|
|
+ fourBiggestSquaredMinus1 = fourXSquaredMinus1;
|
|
|
+ biggestIndex = 1;
|
|
|
+ }
|
|
|
+ if(fourYSquaredMinus1 > fourBiggestSquaredMinus1)
|
|
|
+ {
|
|
|
+ fourBiggestSquaredMinus1 = fourYSquaredMinus1;
|
|
|
+ biggestIndex = 2;
|
|
|
+ }
|
|
|
+ if(fourZSquaredMinus1 > fourBiggestSquaredMinus1)
|
|
|
+ {
|
|
|
+ fourBiggestSquaredMinus1 = fourZSquaredMinus1;
|
|
|
+ biggestIndex = 3;
|
|
|
+ }
|
|
|
+
|
|
|
+ typename detail::tquat<T>::value_type biggestVal = sqrt(fourBiggestSquaredMinus1 + T(1)) * T(0.5);
|
|
|
+ typename detail::tquat<T>::value_type mult = T(0.25) / biggestVal;
|
|
|
+
|
|
|
+ detail::tquat<T> Result;
|
|
|
+ switch(biggestIndex)
|
|
|
+ {
|
|
|
+ case 0:
|
|
|
+ Result.w = biggestVal;
|
|
|
+ Result.x = (m[1][2] - m[2][1]) * mult;
|
|
|
+ Result.y = (m[2][0] - m[0][2]) * mult;
|
|
|
+ Result.z = (m[0][1] - m[1][0]) * mult;
|
|
|
+ break;
|
|
|
+ case 1:
|
|
|
+ Result.w = (m[1][2] - m[2][1]) * mult;
|
|
|
+ Result.x = biggestVal;
|
|
|
+ Result.y = (m[0][1] + m[1][0]) * mult;
|
|
|
+ Result.z = (m[2][0] + m[0][2]) * mult;
|
|
|
+ break;
|
|
|
+ case 2:
|
|
|
+ Result.w = (m[2][0] - m[0][2]) * mult;
|
|
|
+ Result.x = (m[0][1] + m[1][0]) * mult;
|
|
|
+ Result.y = biggestVal;
|
|
|
+ Result.z = (m[1][2] + m[2][1]) * mult;
|
|
|
+ break;
|
|
|
+ case 3:
|
|
|
+ Result.w = (m[0][1] - m[1][0]) * mult;
|
|
|
+ Result.x = (m[2][0] + m[0][2]) * mult;
|
|
|
+ Result.y = (m[1][2] + m[2][1]) * mult;
|
|
|
+ Result.z = biggestVal;
|
|
|
+ break;
|
|
|
+ }
|
|
|
+ return Result;
|
|
|
+ }
|
|
|
+
|
|
|
+ template <typename T>
|
|
|
+ GLM_FUNC_QUALIFIER detail::tquat<T> quat_cast
|
|
|
(
|
|
|
detail::tmat4x4<T> const & m4
|
|
|
)
|
|
|
- {
|
|
|
+ {
|
|
|
return quat_cast(detail::tmat3x3<T>(m4));
|
|
|
- }
|
|
|
+ }
|
|
|
|
|
|
template <typename T>
|
|
|
GLM_FUNC_QUALIFIER T angle
|