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@ -20,8 +20,8 @@ |
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/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN |
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/// THE SOFTWARE. |
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/// |
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/// @ref gtx_quaternion |
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/// @file glm/gtx/quaternion.inl |
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/// @ref gtx_dual_quaternion |
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/// @file glm/gtx/dual_quaternion.inl |
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/// @date 2013-02-10 / 2013-02-13 |
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/// @author Maksim Vorobiev (msomeone@gmail.com) |
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/////////////////////////////////////////////////////////////////////////////////// |
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@ -40,7 +40,7 @@ namespace detail |
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template <typename T> |
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GLM_FUNC_QUALIFIER tdualquat<T>::tdualquat() : |
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real(tquat<T>()), |
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dual(tquat<T>(tdualquat<T>::value_type(0),tdualquat<T>::value_type(0),tdualquat<T>::value_type(0),tdualquat<T>::value_type(0))) |
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dual(tquat<T>(T(0), T(0), T(0), T(0))) |
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{} |
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template <typename T> |
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@ -49,7 +49,7 @@ namespace detail |
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tquat<T> const & r |
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) : |
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real(r), |
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dual(tquat<T>(tdualquat<T>::value_type(0),tdualquat<T>::value_type(0),tdualquat<T>::value_type(0),tdualquat<T>::value_type(0))) |
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dual(tquat<T>(T(0), T(0), T(0), T(0))) |
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{} |
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template <typename T> |
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@ -69,7 +69,8 @@ namespace detail |
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tvec3<T> const& p |
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) : |
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real(q), |
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dual(-0.5f*( p.x*q.x + p.y*q.y + p.z*q.z), |
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dual( |
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-0.5f*( p.x*q.x + p.y*q.y + p.z*q.z), |
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0.5f*( p.x*q.w + p.y*q.z - p.z*q.y), |
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0.5f*(-p.x*q.z + p.y*q.w + p.z*q.x), |
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0.5f*( p.x*q.y - p.y*q.x + p.z*q.w)) |
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@ -80,10 +81,10 @@ namespace detail |
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template <typename T> |
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GLM_FUNC_QUALIFIER tdualquat<T>::tdualquat |
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( |
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tmat2x4<T> const & holder_mat |
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tmat2x4<T> const & m |
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) |
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{ |
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*this = dualquat_cast<> |
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*this = dualquat_cast(m); |
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} |
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template <typename T> |
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@ -144,7 +145,7 @@ namespace detail |
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detail::tdualquat<T> const & q |
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) |
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{ |
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return detail::tdualquat<T>(-this->real,-this->dual); |
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return detail::tdualquat<T>(-q.real,-q.dual); |
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} |
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template <typename T> |
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@ -175,9 +176,9 @@ namespace detail |
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detail::tvec3<T> const & v |
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) |
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{ |
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const detail::tvec3<T> real_v3(q.real.x,q.real.y,q.real.z); |
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const detail::tvec3<T> dual_v3(q.dual.x,q.dual.y,q.dual.z); |
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return (cross(real_v3, cross(real_v3,v) + v * q.real.w + dual_v3) + dual_v3 * q.real.w - real_v3 * q.dual.w) * detail::tdualquat<T>::value_type(2) + v; |
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detail::tvec3<T> const real_v3(q.real.x,q.real.y,q.real.z); |
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detail::tvec3<T> const dual_v3(q.dual.x,q.dual.y,q.dual.z); |
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return (cross(real_v3, cross(real_v3,v) + v * q.real.w + dual_v3) + dual_v3 * q.real.w - real_v3 * q.dual.w) * T(2) + v; |
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} |
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template <typename T> |
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@ -201,9 +202,11 @@ namespace detail |
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} |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tvec4<T> operator* ( |
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GLM_FUNC_QUALIFIER detail::tvec4<T> operator* |
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( |
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detail::tvec4<T> const & v, |
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detail::tdualquat<T> const & q) |
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detail::tdualquat<T> 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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@ -278,12 +281,13 @@ namespace detail |
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detail::tdualquat<T> const & y, |
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typename detail::tdualquat<T>::value_type const & a |
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) |
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{ // Dual Quaternion Linear blend aka DLB: |
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{ |
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// Dual Quaternion Linear blend aka DLB: |
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// Lerp is only defined in [0, 1] |
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assert(a >= T(0)); |
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assert(a <= T(1)); |
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const detail::tdualquat<T>::value_type k = dot(x.real,y.real) < detail::tdualquat<T>::value_type(0) ? -a : a; |
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const detail::tdualquat<T>::value_type one(1); |
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T const k = dot(x.real,y.real) < detail::tdualquat<T>::value_type(0) ? -a : a; |
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T const one(1); |
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return detail::tdualquat<T>(x * (one - a) + y * k); |
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} |
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@ -297,7 +301,7 @@ namespace detail |
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const glm::detail::tquat<T> dual = conjugate(q.dual); |
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return detail::tdualquat<T>(real, dual + (real * (-2.0f * dot(real,dual)))); |
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} |
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/* |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tmat3x3<T> mat3_cast |
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( |
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@ -305,7 +309,7 @@ namespace detail |
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) |
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{ |
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} |
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*/ |
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template <typename T> |
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GLM_FUNC_QUALIFIER detail::tmat2x4<T> mat2x4_cast |
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( |
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@ -323,36 +327,33 @@ namespace detail |
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{ |
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detail::tquat<T> r = x.real / length2(x.real); |
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const detail::tquat<T> rr(r.w * x.real.w, r.x * x.real.x, r.y * x.real.y, r.z * x.real.z); |
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r *= detail::tdualquat<T>::value_type(2); |
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detail::tquat<T> const rr(r.w * x.real.w, r.x * x.real.x, r.y * x.real.y, r.z * x.real.z); |
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r *= T(2); |
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const detail::tdualquat<T>::value_type xy = r.x*d.real.y; |
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const detail::tdualquat<T>::value_type xz = r.x*d.real.z; |
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const detail::tdualquat<T>::value_type yz = r.y*d.real.z; |
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const detail::tdualquat<T>::value_type wx = r.w*d.real.x; |
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const detail::tdualquat<T>::value_type wy = r.w*d.real.y; |
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const detail::tdualquat<T>::value_type wz = r.w*d.real.z; |
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T const xy = r.x * x.real.y; |
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T const xz = r.x * x.real.z; |
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T const yz = r.y * x.real.z; |
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T const wx = r.w * x.real.x; |
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T const wy = r.w * x.real.y; |
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T const wz = r.w * x.real.z; |
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const detail::tvec4<T> a( |
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detail::tvec4<T> const a( |
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rr.w + rr.x - rr.y - rr.z, |
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xy - wz, |
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xz + wy, |
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-(x.dual.w * r.x - x.dual.x * r.w + x.dual.y * r.z - x.dual.z * r.y) |
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); |
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-(x.dual.w * r.x - x.dual.x * r.w + x.dual.y * r.z - x.dual.z * r.y)); |
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const detail::tvec4<T> b( |
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detail::tvec4<T> const b( |
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xy + wz, |
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rr.w + rr.y - rr.x - rr.z, |
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yz - wx, |
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-(x.dual.w * r.y - x.dual.x * r.z - x.dual.y * r.w + x.dual.z * r.x) |
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); |
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-(x.dual.w * r.y - x.dual.x * r.z - x.dual.y * r.w + x.dual.z * r.x)); |
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const detail::tvec4<T> c( |
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detail::tvec4<T> const c( |
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xz - wy, |
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yz + wx, |
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rr.w + rr.z - rr.x - rr.y, |
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-(x.dual.w * r.z + x.dual.x * r.y - x.dual.y * r.x - x.dual.z * r.w) |
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); |
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-(x.dual.w * r.z + x.dual.x * r.y - x.dual.y * r.x - x.dual.z * r.w)); |
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return detail::tmat3x4<T>(a, b, c); |
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} |
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@ -363,10 +364,9 @@ namespace detail |
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detail::tmat2x4<T> const & x |
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) |
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{ |
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return detail::tdualquat ( |
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return detail::tdualquat<T>( |
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detail::tquat<T>( x[0].w, x[0].x, x[0].y, x[0].z ), |
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detail::tquat<T> ( x[1].w, x[1].x, x[1].y, x[1].z ) |
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); |
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detail::tquat<T>( x[1].w, x[1].x, x[1].y, x[1].z )); |
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} |
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template <typename T> |
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@ -377,11 +377,11 @@ namespace detail |
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{ |
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detail::tquat<T> real; |
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const detail::tdualquat<T>::value_type trace = x[0].x + x[1].y + x[2].z; |
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T const trace = x[0].x + x[1].y + x[2].z; |
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if(trace > detail::tdualquat<T>::value_type(0)) |
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{ |
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const detail::tdualquat<T>::value_type r = sqrt(detail::tdualquat<T>::value_type(1) + trace); |
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const detail::tdualquat<T>::value_type invr = detail::tdualquat<T>::value_type(0.5) / r; |
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T const r = sqrt(detail::tdualquat<T>::value_type(1) + trace); |
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T const invr = detail::tdualquat<T>::value_type(0.5) / r; |
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real.w = detail::tdualquat<T>::value_type(0.5) * r; |
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real.x = (x[2].y - x[1].z) * invr; |
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real.y = (x[0].z - x[2].x) * invr; |
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@ -389,8 +389,8 @@ namespace detail |
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} |
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else if(x[0].x > x[1].y && x[0].x > x[2].z) |
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{ |
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const detail::tdualquat<T>::value_type r = sqrt(detail::tdualquat<T>::value_type(1) + x[0].x - x[1].y - x[2].z); |
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const detail::tdualquat<T>::value_type invr = detail::tdualquat<T>::value_type(0.5) / r; |
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T const r = sqrt(detail::tdualquat<T>::value_type(1) + x[0].x - x[1].y - x[2].z); |
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T const invr = detail::tdualquat<T>::value_type(0.5) / r; |
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real.x = detail::tdualquat<T>::value_type(0.5)*r; |
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real.y = (x[1].x + x[0].y) * invr; |
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real.z = (x[0].z + x[2].x) * invr; |
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@ -398,28 +398,28 @@ namespace detail |
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} |
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else if(x[1].y > x[2].z) |
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{ |
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const detail::tdualquat<T>::value_type r = sqrt(detail::tdualquat<T>::value_type(1) + x[1].y - x[0].x - x[2].z); |
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const detail::tdualquat<T>::value_type invr = detail::tdualquat<T>::value_type(0.5) / r; |
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x = (x[1].x + x[0].y) * invr; |
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y = detail::tdualquat<T>::value_type(0.5) * r; |
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z = (x[2].y + x[1].z) * invr; |
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w = (x[0].z - x[2].x) * invr; |
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T const r = sqrt(T(1) + x[1].y - x[0].x - x[2].z); |
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T const invr = T(0.5) / r; |
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real.x = (x[1].x + x[0].y) * invr; |
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real.y = T(0.5) * r; |
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real.z = (x[2].y + x[1].z) * invr; |
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real.w = (x[0].z - x[2].x) * invr; |
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} |
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else |
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{ |
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const detail::tdualquat<T>::value_type r = sqrt(detail::tdualquat<T>::value_type(1) + x[2].z - x[0].x - x[1].y); |
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const detail::tdualquat<T>::value_type invr = detail::tdualquat<T>::value_type(0.5) / r; |
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x = (x[0].z + x[2].x) * invr; |
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y = (x[2].y + x[1].z) * invr; |
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z = detail::tdualquat<T>::value_type(0.5) * r; |
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w = (x[1].x - x[0].y) * invr; |
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T const r = sqrt(T(1) + x[2].z - x[0].x - x[1].y); |
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T const invr = T(0.5) / r; |
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real.x = (x[0].z + x[2].x) * invr; |
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real.y = (x[2].y + x[1].z) * invr; |
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real.z = T(0.5) * r; |
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real.w = (x[1].x - x[0].y) * invr; |
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} |
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const detail::tquat<T> dual; |
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dual.x = 0.5f*( x[0].w*real.w + x[1].w*real.z - x[2].w*real.y); |
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dual.y = 0.5f*(-x[0].w*real.z + x[1].w*real.w + x[2].w*real.x); |
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dual.z = 0.5f*( x[0].w*real.y - x[1].w*real.x + x[2].w*real.w); |
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dual.w = -0.5f*( x[0].w*real.x + x[1].w*real.y + x[2].w*real.z); |
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detail::tquat<T> dual; |
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dual.x = T(0.5) * ( x[0].w * real.w + x[1].w * real.z - x[2].w * real.y); |
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dual.y = T(0.5) * (-x[0].w * real.z + x[1].w * real.w + x[2].w * real.x); |
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dual.z = T(0.5) * ( x[0].w * real.y - x[1].w * real.x + x[2].w * real.w); |
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dual.w = -T(0.5) * ( x[0].w * real.x + x[1].w * real.y + x[2].w * real.z); |
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return detail::tdualquat<T>(real, dual); |
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} |
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