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@@ -9,291 +9,290 @@
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#include <limits>
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-namespace glm{
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-
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-template <typename valType>
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-GLM_FUNC_QUALIFIER detail::tvec3<valType> cross
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-(
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- detail::tvec3<valType> const & v,
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- detail::tquat<valType> const & q
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-)
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+namespace glm
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{
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- return inverse(q) * v;
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-}
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+ template <typename valType>
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+ GLM_FUNC_QUALIFIER detail::tvec3<valType> cross
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+ (
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+ detail::tvec3<valType> const & v,
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+ detail::tquat<valType> const & q
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+ )
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+ {
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+ return inverse(q) * v;
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+ }
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-template <typename valType>
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-GLM_FUNC_QUALIFIER detail::tvec3<valType> cross
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-(
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- detail::tquat<valType> const & q,
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- detail::tvec3<valType> const & v
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-)
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-{
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- return q * v;
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-}
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+ template <typename valType>
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+ GLM_FUNC_QUALIFIER detail::tvec3<valType> cross
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+ (
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+ detail::tquat<valType> const & q,
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+ detail::tvec3<valType> const & v
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+ )
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+ {
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+ return q * v;
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+ }
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-template <typename T>
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-GLM_FUNC_QUALIFIER detail::tquat<T> squad
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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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- detail::tquat<T> const & s1,
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- detail::tquat<T> const & s2,
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- T const & h)
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-{
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- return mix(mix(q1, q2, h), mix(s1, s2, h), T(2) * h (T(1) - h));
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-}
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER detail::tquat<T> squad
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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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+ detail::tquat<T> const & s1,
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+ detail::tquat<T> const & s2,
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+ T const & h)
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+ {
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+ return mix(mix(q1, q2, h), mix(s1, s2, h), T(2) * h (T(1) - h));
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+ }
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-template <typename T>
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-GLM_FUNC_QUALIFIER detail::tquat<T> intermediate
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-(
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- detail::tquat<T> const & prev,
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- detail::tquat<T> const & curr,
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- detail::tquat<T> const & next
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-)
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-{
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- detail::tquat<T> invQuat = inverse(curr);
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- return ext((log(next + invQuat) + log(prev + invQuat)) / T(-4)) * curr;
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-}
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER detail::tquat<T> intermediate
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+ (
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+ detail::tquat<T> const & prev,
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+ detail::tquat<T> const & curr,
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+ detail::tquat<T> const & next
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+ )
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+ {
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+ detail::tquat<T> invQuat = inverse(curr);
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+ return ext((log(next + invQuat) + log(prev + invQuat)) / T(-4)) * curr;
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+ }
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-template <typename T>
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-GLM_FUNC_QUALIFIER detail::tquat<T> exp
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-(
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- detail::tquat<T> const & q,
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- T const & exponent
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-)
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-{
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- detail::tvec3<T> u(q.x, q.y, q.z);
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- float a = glm::length(u);
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- detail::tvec3<T> v(u / a);
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- return detail::tquat<T>(cos(a), sin(a) * v);
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-}
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER detail::tquat<T> exp
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+ (
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+ detail::tquat<T> const & q,
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+ T const & exponent
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+ )
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+ {
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+ detail::tvec3<T> u(q.x, q.y, q.z);
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+ float a = glm::length(u);
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+ detail::tvec3<T> v(u / a);
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+ return detail::tquat<T>(cos(a), sin(a) * v);
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+ }
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-template <typename T>
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-GLM_FUNC_QUALIFIER detail::tquat<T> log
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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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- if((q.x == T(0)) && (q.y == T(0)) && (q.z == T(0)))
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- {
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- if(q.w > T(0))
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- return detail::tquat<T>(log(q.w), T(0), T(0), T(0));
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- else if(q.w < T(0))
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- return detail::tquat<T>(log(-q.w), T(3.1415926535897932384626433832795), T(0),T(0));
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- else
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- return detail::tquat<T>(std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity());
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- }
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- else
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- {
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- T Vec3Len = sqrt(q.x * q.x + q.y * q.y + q.z * q.z);
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- T QuatLen = sqrt(Vec3Len * Vec3Len + q.w * q.w);
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- T t = atan(Vec3Len, T(q.w)) / Vec3Len;
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- return detail::tquat<T>(t * q.x, t * q.y, t * q.z, log(QuatLen));
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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> log
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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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+ if((q.x == T(0)) && (q.y == T(0)) && (q.z == T(0)))
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+ {
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+ if(q.w > T(0))
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+ return detail::tquat<T>(log(q.w), T(0), T(0), T(0));
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+ else if(q.w < T(0))
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+ return detail::tquat<T>(log(-q.w), T(3.1415926535897932384626433832795), T(0),T(0));
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+ else
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+ return detail::tquat<T>(std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity());
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+ }
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+ else
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+ {
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+ T Vec3Len = sqrt(q.x * q.x + q.y * q.y + q.z * q.z);
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+ T QuatLen = sqrt(Vec3Len * Vec3Len + q.w * q.w);
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+ T t = atan(Vec3Len, T(q.w)) / Vec3Len;
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+ return detail::tquat<T>(t * q.x, t * q.y, t * q.z, log(QuatLen));
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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> pow
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-(
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- detail::tquat<T> const & x,
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- T const & y
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-)
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-{
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- if(abs(x.w) > T(0.9999))
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- return x;
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- float Angle = acos(y);
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- float NewAngle = Angle * y;
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- float Div = sin(NewAngle) / sin(Angle);
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- return detail::tquat<T>(
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- cos(NewAngle),
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- x.x * Div,
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- x.y * Div,
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- x.z * Div);
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-}
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER detail::tquat<T> pow
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+ (
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+ detail::tquat<T> const & x,
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+ T const & y
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+ )
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+ {
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+ if(abs(x.w) > T(0.9999))
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+ return x;
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+ float Angle = acos(y);
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+ float NewAngle = Angle * y;
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+ float Div = sin(NewAngle) / sin(Angle);
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+ return detail::tquat<T>(
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+ cos(NewAngle),
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+ x.x * Div,
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+ x.y * Div,
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+ x.z * Div);
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+ }
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-//template <typename T>
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-//GLM_FUNC_QUALIFIER detail::tquat<T> sqrt
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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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-// T q0 = T(1) - dot(q, q);
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-// return T(2) * (T(1) + q0) * q;
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-//}
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+ //template <typename T>
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+ //GLM_FUNC_QUALIFIER detail::tquat<T> sqrt
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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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+ // T q0 = T(1) - dot(q, q);
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+ // return T(2) * (T(1) + q0) * q;
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+ //}
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-template <typename T>
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-GLM_FUNC_QUALIFIER detail::tvec3<T> rotate
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-(
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- detail::tquat<T> const & q,
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- detail::tvec3<T> const & v
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-)
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-{
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- return q * v;
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-}
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER detail::tvec3<T> rotate
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+ (
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+ detail::tquat<T> const & q,
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+ detail::tvec3<T> const & v
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+ )
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+ {
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+ return q * v;
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+ }
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-template <typename T>
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-GLM_FUNC_QUALIFIER detail::tvec4<T> rotate
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-(
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- detail::tquat<T> const & q,
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- detail::tvec4<T> const & v
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-)
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-{
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- return q * v;
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-}
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER detail::tvec4<T> rotate
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+ (
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+ detail::tquat<T> const & q,
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+ detail::tvec4<T> const & v
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+ )
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+ {
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+ return q * v;
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+ }
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-template <typename T>
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-GLM_FUNC_QUALIFIER T angle
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-(
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- detail::tquat<T> const & x
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-)
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-{
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- return glm::degrees(acos(x.w) * T(2));
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-}
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER T angle
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+ (
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+ detail::tquat<T> const & x
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+ )
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+ {
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+ return glm::degrees(acos(x.w) * T(2));
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+ }
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-template <typename T>
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-GLM_FUNC_QUALIFIER detail::tvec3<T> axis
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-(
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- detail::tquat<T> const & x
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-)
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-{
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- T tmp1 = T(1) - x.w * x.w;
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- if(tmp1 <= T(0))
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- return detail::tvec3<T>(0, 0, 1);
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- T tmp2 = T(1) / sqrt(tmp1);
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- return detail::tvec3<T>(x.x * tmp2, x.y * tmp2, x.z * tmp2);
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-}
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER detail::tvec3<T> axis
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+ (
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+ detail::tquat<T> const & x
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+ )
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+ {
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+ T tmp1 = T(1) - x.w * x.w;
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+ if(tmp1 <= T(0))
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+ return detail::tvec3<T>(0, 0, 1);
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+ T tmp2 = T(1) / sqrt(tmp1);
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+ return detail::tvec3<T>(x.x * tmp2, x.y * tmp2, x.z * tmp2);
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+ }
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-template <typename valType>
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-GLM_FUNC_QUALIFIER detail::tquat<valType> angleAxis
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-(
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- valType const & angle,
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- valType const & x,
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- valType const & y,
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- valType const & z
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-)
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-{
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- return angleAxis(angle, detail::tvec3<valType>(x, y, z));
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-}
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+ template <typename valType>
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+ GLM_FUNC_QUALIFIER detail::tquat<valType> angleAxis
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+ (
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+ valType const & angle,
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+ valType const & x,
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+ valType const & y,
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+ valType const & z
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+ )
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+ {
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+ return angleAxis(angle, detail::tvec3<valType>(x, y, z));
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+ }
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-template <typename valType>
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-GLM_FUNC_QUALIFIER detail::tquat<valType> angleAxis
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-(
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- valType const & angle,
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- detail::tvec3<valType> const & v
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-)
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-{
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- detail::tquat<valType> result;
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+ template <typename valType>
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+ GLM_FUNC_QUALIFIER detail::tquat<valType> angleAxis
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+ (
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+ valType const & angle,
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+ detail::tvec3<valType> const & v
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+ )
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+ {
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+ detail::tquat<valType> result;
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- valType a = glm::radians(angle);
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- valType s = glm::sin(a * valType(0.5));
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+ valType a = glm::radians(angle);
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+ valType s = glm::sin(a * valType(0.5));
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- result.w = glm::cos(a * valType(0.5));
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- result.x = v.x * s;
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- result.y = v.y * s;
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- result.z = v.z * s;
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- return result;
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-}
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+ result.w = glm::cos(a * valType(0.5));
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+ result.x = v.x * s;
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+ result.y = v.y * s;
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+ result.z = v.z * s;
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+ return result;
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+ }
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-template <typename T>
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-GLM_FUNC_QUALIFIER T extractRealComponent
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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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- T w = T(1.0) - q.x * q.x - q.y * q.y - q.z * q.z;
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- if(w < T(0))
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- return T(0);
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- else
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- return -sqrt(w);
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-}
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-
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-template <typename valType>
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-GLM_FUNC_QUALIFIER valType roll
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-(
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- detail::tquat<valType> const & q
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-)
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-{
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- return glm::degrees(atan2(valType(2) * (q.x * q.y + q.w * q.z), q.w * q.w + q.x * q.x - q.y * q.y - q.z * q.z));
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-}
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+ template <typename T>
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+ GLM_FUNC_QUALIFIER T extractRealComponent
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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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+ T w = T(1.0) - q.x * q.x - q.y * q.y - q.z * q.z;
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+ if(w < T(0))
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+ return T(0);
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+ else
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+ return -sqrt(w);
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+ }
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-template <typename valType>
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-GLM_FUNC_QUALIFIER valType pitch
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-(
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- detail::tquat<valType> const & q
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-)
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-{
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- return glm::degrees(atan2(valType(2) * (q.y * q.z + q.w * q.x), q.w * q.w - q.x * q.x - q.y * q.y + q.z * q.z));
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-}
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+ template <typename valType>
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+ GLM_FUNC_QUALIFIER valType roll
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+ (
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+ detail::tquat<valType> const & q
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+ )
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+ {
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+ return glm::degrees(atan2(valType(2) * (q.x * q.y + q.w * q.z), q.w * q.w + q.x * q.x - q.y * q.y - q.z * q.z));
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+ }
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-template <typename valType>
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-GLM_FUNC_QUALIFIER valType yaw
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-(
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- detail::tquat<valType> const & q
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-)
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-{
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- return glm::degrees(asin(valType(-2) * (q.x * q.z - q.w * q.y)));
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-}
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+ template <typename valType>
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+ GLM_FUNC_QUALIFIER valType pitch
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+ (
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+ detail::tquat<valType> const & q
|
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+ )
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+ {
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+ return glm::degrees(atan2(valType(2) * (q.y * q.z + q.w * q.x), q.w * q.w - q.x * q.x - q.y * q.y + q.z * q.z));
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+ }
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-template <typename valType>
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-GLM_FUNC_QUALIFIER detail::tvec3<valType> eularAngles
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-(
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- detail::tquat<valType> const & x
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-)
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-{
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- return detail::tvec3<valType>(pitch(x), yaw(x), roll(x));
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-}
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+ template <typename valType>
|
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+ GLM_FUNC_QUALIFIER valType yaw
|
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+ (
|
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+ detail::tquat<valType> const & q
|
|
|
+ )
|
|
|
+ {
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+ return glm::degrees(asin(valType(-2) * (q.x * q.z - q.w * q.y)));
|
|
|
+ }
|
|
|
|
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|
-template <typename T>
|
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|
-GLM_FUNC_QUALIFIER detail::tquat<T> shortMix
|
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|
-(
|
|
|
- detail::tquat<T> const & x,
|
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|
- detail::tquat<T> const & y,
|
|
|
- T const & a
|
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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;
|
|
|
+ template <typename valType>
|
|
|
+ GLM_FUNC_QUALIFIER detail::tvec3<valType> eularAngles
|
|
|
+ (
|
|
|
+ detail::tquat<valType> const & x
|
|
|
+ )
|
|
|
+ {
|
|
|
+ return detail::tvec3<valType>(pitch(x), yaw(x), roll(x));
|
|
|
+ }
|
|
|
|
|
|
- T fCos = dot(x, y);
|
|
|
- detail::tquat<T> y2(y); //BUG!!! tquat<T> y2;
|
|
|
- if(fCos < T(0))
|
|
|
- {
|
|
|
- y2 = -y;
|
|
|
- fCos = -fCos;
|
|
|
- }
|
|
|
+ template <typename T>
|
|
|
+ GLM_FUNC_QUALIFIER detail::tquat<T> shortMix
|
|
|
+ (
|
|
|
+ detail::tquat<T> const & x,
|
|
|
+ detail::tquat<T> const & y,
|
|
|
+ T const & a
|
|
|
+ )
|
|
|
+ {
|
|
|
+ if(a <= typename detail::tquat<T>::value_type(0)) return x;
|
|
|
+ if(a >= typename detail::tquat<T>::value_type(1)) return y;
|
|
|
|
|
|
- //if(fCos > 1.0f) // problem
|
|
|
- T k0, k1;
|
|
|
- if(fCos > T(0.9999))
|
|
|
- {
|
|
|
- k0 = T(1) - a;
|
|
|
- k1 = T(0) + a; //BUG!!! 1.0f + a;
|
|
|
- }
|
|
|
- else
|
|
|
- {
|
|
|
- T fSin = sqrt(T(1) - fCos * fCos);
|
|
|
- T fAngle = atan(fSin, fCos);
|
|
|
- T fOneOverSin = T(1) / fSin;
|
|
|
- k0 = sin((T(1) - a) * fAngle) * fOneOverSin;
|
|
|
- k1 = sin((T(0) + a) * fAngle) * fOneOverSin;
|
|
|
- }
|
|
|
+ T fCos = dot(x, y);
|
|
|
+ detail::tquat<T> y2(y); //BUG!!! tquat<T> y2;
|
|
|
+ if(fCos < T(0))
|
|
|
+ {
|
|
|
+ y2 = -y;
|
|
|
+ fCos = -fCos;
|
|
|
+ }
|
|
|
|
|
|
- return detail::tquat<T>(
|
|
|
- k0 * x.w + k1 * y2.w,
|
|
|
- k0 * x.x + k1 * y2.x,
|
|
|
- k0 * x.y + k1 * y2.y,
|
|
|
- k0 * x.z + k1 * y2.z);
|
|
|
-}
|
|
|
+ //if(fCos > 1.0f) // problem
|
|
|
+ T k0, k1;
|
|
|
+ if(fCos > T(0.9999))
|
|
|
+ {
|
|
|
+ k0 = T(1) - a;
|
|
|
+ k1 = T(0) + a; //BUG!!! 1.0f + a;
|
|
|
+ }
|
|
|
+ else
|
|
|
+ {
|
|
|
+ T fSin = sqrt(T(1) - fCos * fCos);
|
|
|
+ T fAngle = atan(fSin, fCos);
|
|
|
+ T fOneOverSin = T(1) / fSin;
|
|
|
+ k0 = sin((T(1) - a) * fAngle) * fOneOverSin;
|
|
|
+ k1 = sin((T(0) + a) * fAngle) * fOneOverSin;
|
|
|
+ }
|
|
|
|
|
|
-template <typename T>
|
|
|
-GLM_FUNC_QUALIFIER detail::tquat<T> fastMix
|
|
|
-(
|
|
|
- detail::tquat<T> const & x,
|
|
|
- detail::tquat<T> const & y,
|
|
|
- T const & a
|
|
|
-)
|
|
|
-{
|
|
|
- return glm::normalize(x * (T(1) - a) + (y * a));
|
|
|
-}
|
|
|
+ return detail::tquat<T>(
|
|
|
+ k0 * x.w + k1 * y2.w,
|
|
|
+ k0 * x.x + k1 * y2.x,
|
|
|
+ k0 * x.y + k1 * y2.y,
|
|
|
+ k0 * x.z + k1 * y2.z);
|
|
|
+ }
|
|
|
|
|
|
+ template <typename T>
|
|
|
+ GLM_FUNC_QUALIFIER detail::tquat<T> fastMix
|
|
|
+ (
|
|
|
+ detail::tquat<T> const & x,
|
|
|
+ detail::tquat<T> const & y,
|
|
|
+ T const & a
|
|
|
+ )
|
|
|
+ {
|
|
|
+ return glm::normalize(x * (T(1) - a) + (y * a));
|
|
|
+ }
|
|
|
}//namespace glm
|