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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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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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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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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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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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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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//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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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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|
template <typename T> |
|
|
|
|
GLM_FUNC_QUALIFIER detail::tquat<T> mix2 |
|
|
|
|
{ |
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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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|
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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|
//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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|
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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|
template <typename T> |
|
|
|
|
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; |
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|
|
if(a >= T(1)) return y; |
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|
T cos_t = dot(x, y); |
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|
T cos_t = dot(x, y); |
|
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|
|
if(cos_t < T(0)) |
|
|
|
|
{ |
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|
|
cos_t = -cos_t; |
|
|
|
@ -440,180 +440,180 @@ namespace detail |
|
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|
|
if(flip) |
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|
|
alpha = -alpha; |
|
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|
|
|
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|
|
return normalize(beta * x + alpha * y); |
|
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|
|
} |
|
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|
|
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]; |
|
|
|
|
|
|
|
|
|
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 |
|
|
|
|
{ |
|
|
|
|
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); |
|
|
|
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typename detail::tquat<T>::value_type mult = T(0.25) / biggestVal; |
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detail::tquat<T> Result; |
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switch(biggestIndex) |
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{ |
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case 0: |
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Result.w = biggestVal; |
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Result.x = (m[1][2] - m[2][1]) * mult; |
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Result.y = (m[2][0] - m[0][2]) * mult; |
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Result.z = (m[0][1] - m[1][0]) * mult; |
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break; |
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case 1: |
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Result.w = (m[1][2] - m[2][1]) * mult; |
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Result.x = biggestVal; |
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Result.y = (m[0][1] + m[1][0]) * mult; |
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Result.z = (m[2][0] + m[0][2]) * mult; |
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break; |
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case 2: |
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Result.w = (m[2][0] - m[0][2]) * mult; |
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Result.x = (m[0][1] + m[1][0]) * mult; |
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Result.y = biggestVal; |
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Result.z = (m[1][2] + m[2][1]) * mult; |
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break; |
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case 3: |
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Result.w = (m[0][1] - m[1][0]) * mult; |
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Result.x = (m[2][0] + m[0][2]) * mult; |
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Result.y = (m[1][2] + m[2][1]) * mult; |
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Result.z = biggestVal; |
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break; |
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} |
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return Result; |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tquat<T> quat_cast |
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( |
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detail::tmat4x4<T> const & m4 |
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) |
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{ |
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{ |
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return quat_cast(detail::tmat3x3<T>(m4)); |
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} |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER T angle |
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|