mirror of
https://github.com/JoeyDeVries/LearnOpenGL.git
synced 2026-01-07 01:03:22 +08:00
Update GLM to latest version (0.9.9.3). This includes GLM's change of matrices no longer default initializing to the identity matrix. This commit thus also includes the update of all of LearnOpenGL's code to reflect this: all matrices are now constructor-initialized to the identity matrix where relevant.
This commit is contained in:
Joey de Vries
436
includes/glm/gtx/easing.inl
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436
includes/glm/gtx/easing.inl
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@@ -0,0 +1,436 @@
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/// @ref gtx_easing
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#include <cmath>
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namespace glm{
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template <typename genType>
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GLM_FUNC_QUALIFIER genType linearInterpolation(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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return a;
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType quadraticEaseIn(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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return a * a;
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType quadraticEaseOut(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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return -(a * (a - static_cast<genType>(2)));
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType quadraticEaseInOut(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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if(a < static_cast<genType>(0.5))
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{
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return static_cast<genType>(2) * a * a;
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}
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else
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{
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return (-static_cast<genType>(2) * a * a) + (4 * a) - one<genType>();
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}
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType cubicEaseIn(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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return a * a * a;
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType cubicEaseOut(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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genType const f = a - one<genType>();
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return f * f * f + one<genType>();
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType cubicEaseInOut(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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if (a < static_cast<genType>(0.5))
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{
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return static_cast<genType>(4) * a * a * a;
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}
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else
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{
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genType const f = ((static_cast<genType>(2) * a) - static_cast<genType>(2));
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return static_cast<genType>(0.5) * f * f * f + one<genType>();
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}
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType quarticEaseIn(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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return a * a * a * a;
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType quarticEaseOut(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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genType const f = (a - one<genType>());
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return f * f * f * (one<genType>() - a) + one<genType>();
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType quarticEaseInOut(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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if(a < static_cast<genType>(0.5))
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{
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return static_cast<genType>(8) * a * a * a * a;
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}
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else
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{
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genType const f = (a - one<genType>());
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return -static_cast<genType>(8) * f * f * f * f + one<genType>();
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}
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType quinticEaseIn(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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return a * a * a * a * a;
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType quinticEaseOut(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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genType const f = (a - one<genType>());
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return f * f * f * f * f + one<genType>();
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType quinticEaseInOut(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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if(a < static_cast<genType>(0.5))
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{
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return static_cast<genType>(16) * a * a * a * a * a;
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}
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else
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{
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genType const f = ((static_cast<genType>(2) * a) - static_cast<genType>(2));
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return static_cast<genType>(0.5) * f * f * f * f * f + one<genType>();
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}
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType sineEaseIn(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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return sin((a - one<genType>()) * half_pi<genType>()) + one<genType>();
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType sineEaseOut(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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return sin(a * half_pi<genType>());
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType sineEaseInOut(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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return static_cast<genType>(0.5) * (one<genType>() - cos(a * pi<genType>()));
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType circularEaseIn(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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return one<genType>() - sqrt(one<genType>() - (a * a));
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType circularEaseOut(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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return sqrt((static_cast<genType>(2) - a) * a);
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType circularEaseInOut(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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if(a < static_cast<genType>(0.5))
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{
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return static_cast<genType>(0.5) * (one<genType>() - std::sqrt(one<genType>() - static_cast<genType>(4) * (a * a)));
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}
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else
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{
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return static_cast<genType>(0.5) * (std::sqrt(-((static_cast<genType>(2) * a) - static_cast<genType>(3)) * ((static_cast<genType>(2) * a) - one<genType>())) + one<genType>());
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}
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType exponentialEaseIn(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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if(a <= zero<genType>())
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return a;
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else
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{
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genType const Complementary = a - one<genType>();
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genType const Two = static_cast<genType>(2);
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return glm::pow(Two, Complementary * static_cast<genType>(10));
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}
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType exponentialEaseOut(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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if(a >= one<genType>())
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return a;
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else
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{
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return one<genType>() - glm::pow(static_cast<genType>(2), -static_cast<genType>(10) * a);
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}
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType exponentialEaseInOut(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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if(a < static_cast<genType>(0.5))
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return static_cast<genType>(0.5) * glm::pow(static_cast<genType>(2), (static_cast<genType>(20) * a) - static_cast<genType>(10));
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else
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return -static_cast<genType>(0.5) * glm::pow(static_cast<genType>(2), (-static_cast<genType>(20) * a) + static_cast<genType>(10)) + one<genType>();
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType elasticEaseIn(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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return std::sin(static_cast<genType>(13) * half_pi<genType>() * a) * glm::pow(static_cast<genType>(2), static_cast<genType>(10) * (a - one<genType>()));
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType elasticEaseOut(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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return std::sin(-static_cast<genType>(13) * half_pi<genType>() * (a + one<genType>())) * glm::pow(static_cast<genType>(2), -static_cast<genType>(10) * a) + one<genType>();
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType elasticEaseInOut(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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if(a < static_cast<genType>(0.5))
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return static_cast<genType>(0.5) * std::sin(static_cast<genType>(13) * half_pi<genType>() * (static_cast<genType>(2) * a)) * glm::pow(static_cast<genType>(2), static_cast<genType>(10) * ((static_cast<genType>(2) * a) - one<genType>()));
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else
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return static_cast<genType>(0.5) * (std::sin(-static_cast<genType>(13) * half_pi<genType>() * ((static_cast<genType>(2) * a - one<genType>()) + one<genType>())) * glm::pow(static_cast<genType>(2), -static_cast<genType>(10) * (static_cast<genType>(2) * a - one<genType>())) + static_cast<genType>(2));
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType backEaseIn(genType const& a, genType const& o)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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genType z = ((o + one<genType>()) * a) - o;
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return (a * a * z);
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType backEaseOut(genType const& a, genType const& o)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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genType n = a - one<genType>();
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genType z = ((o + one<genType>()) * n) + o;
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return (n * n * z) + one<genType>();
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType backEaseInOut(genType const& a, genType const& o)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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genType s = o * static_cast<genType>(1.525);
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genType x = static_cast<genType>(0.5);
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genType n = a / static_cast<genType>(0.5);
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if (n < static_cast<genType>(1))
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{
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genType z = ((s + static_cast<genType>(1)) * n) - s;
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genType m = n * n * z;
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return x * m;
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}
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else
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{
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n -= static_cast<genType>(2);
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genType z = ((s + static_cast<genType>(1)) * n) + s;
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genType m = (n*n*z) + static_cast<genType>(2);
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return x * m;
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}
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType backEaseIn(genType const& a)
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{
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return backEaseIn(a, static_cast<genType>(1.70158));
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType backEaseOut(genType const& a)
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{
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return backEaseOut(a, static_cast<genType>(1.70158));
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType backEaseInOut(genType const& a)
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{
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return backEaseInOut(a, static_cast<genType>(1.70158));
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType bounceEaseOut(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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if(a < static_cast<genType>(4.0 / 11.0))
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{
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return (static_cast<genType>(121) * a * a) / static_cast<genType>(16);
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}
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else if(a < static_cast<genType>(8.0 / 11.0))
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{
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return (static_cast<genType>(363.0 / 40.0) * a * a) - (static_cast<genType>(99.0 / 10.0) * a) + static_cast<genType>(17.0 / 5.0);
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}
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else if(a < static_cast<genType>(9.0 / 10.0))
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{
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return (static_cast<genType>(4356.0 / 361.0) * a * a) - (static_cast<genType>(35442.0 / 1805.0) * a) + static_cast<genType>(16061.0 / 1805.0);
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}
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else
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{
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return (static_cast<genType>(54.0 / 5.0) * a * a) - (static_cast<genType>(513.0 / 25.0) * a) + static_cast<genType>(268.0 / 25.0);
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}
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType bounceEaseIn(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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return one<genType>() - bounceEaseOut(one<genType>() - a);
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType bounceEaseInOut(genType const& a)
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{
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// Only defined in [0, 1]
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assert(a >= zero<genType>());
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assert(a <= one<genType>());
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if(a < static_cast<genType>(0.5))
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{
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return static_cast<genType>(0.5) * (one<genType>() - bounceEaseOut(a * static_cast<genType>(2)));
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}
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else
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{
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return static_cast<genType>(0.5) * bounceEaseOut(a * static_cast<genType>(2) - one<genType>()) + static_cast<genType>(0.5);
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}
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}
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}//namespace glm
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