#pragma once #include "GenericPlatformMath.h" struct FMath : public FGenericPlatformMath { template< class T > static FORCEINLINE T Clamp(const T X, const T Min, const T Max) { return X < Min ? Min : X < Max ? X : Max; } template< class T > static FORCEINLINE T Square(const T A) { return A * A; } #define FASTASIN_HALF_PI (1.5707963050f) /** * Computes the ASin of a scalar value. * * @param Value input angle * @return ASin of Value */ static FORCEINLINE float FastAsin(float Value) { // Clamp input to [-1,1]. bool nonnegative = (Value >= 0.0f); float x = FMath::Abs(Value); float omx = 1.0f - x; if (omx < 0.0f) { omx = 0.0f; } float root = FMath::Sqrt(omx); // 7-degree minimax approximation float result = ((((((-0.0012624911f * x + 0.0066700901f) * x - 0.0170881256f) * x + 0.0308918810f) * x - 0.0501743046f) * x + 0.0889789874f) * x - 0.2145988016f) * x + FASTASIN_HALF_PI; result *= root; // acos(|x|) // acos(x) = pi - acos(-x) when x < 0, asin(x) = pi/2 - acos(x) return (nonnegative ? FASTASIN_HALF_PI - result : result - FASTASIN_HALF_PI); } #undef FASTASIN_HALF_PI };