BezierUtilities.h

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// Copyright Epic Games, Inc. All Rights Reserved.
 
#pragma once
 
#include "Math/Vector.h"
#include "Math/Box.h"
#include "Math/UnrealMathUtility.h"
 
namespace UE
{
namespace CubicBezier
{
 
inline FVector Eval(const FVector& P0, const FVector& P1, const FVector& P2, const FVector& P3, const float t)
{
    // Interpolate using De Casteljau algorithm.
    const FVector P01 = FMath::Lerp(P0, P1, t);
    const FVector P12 = FMath::Lerp(P1, P2, t);
    const FVector P23 = FMath::Lerp(P2, P3, t);
    const FVector P012 = FMath::Lerp(P01, P12, t);
    const FVector P123 = FMath::Lerp(P12, P23, t);
    return FMath::Lerp(P012, P123, t);
}
 
inline FVector EvalDerivate(const FVector& P0, const FVector& P1, const FVector& P2, const FVector& P3, const float t)
{
    const FVector P01 = FMath::Lerp(P0, P1, t);
    const FVector P12 = FMath::Lerp(P1, P2, t);
    const FVector P23 = FMath::Lerp(P2, P3, t);
    return 3.0f * (FMath::Lerp(P12, P23, t) - FMath::Lerp(P01, P12, t));
}
 
ENGINE_API void SplitAt(const FVector& P0, const FVector& P1, const FVector& P2, const FVector& P3, const float t, FVector OutResult[5]);
 
ENGINE_API FBox CalcBounds(const FVector& P0, const FVector& P1, const FVector& P2, const FVector& P3);
 
ENGINE_API void ClosestPointApproximate(const FVector& FromPoint, const FVector& P0, const FVector& P1, const FVector& P2, const FVector& P3, FVector& OutClosestPoint, float& OutClosestT, const int Steps = 16);
 
ENGINE_API void SegmentClosestPointApproximate(const FVector& SegStart, const FVector& SegEnd, const FVector& P0, const FVector& P1, const FVector& P2, const FVector& P3, FVector& OutClosestPoint, float& OutClosestT, const int Steps = 16);
 
ENGINE_API float ArcLengthApproximate(const FVector& P0, const FVector& P1, const FVector& P2, const FVector& P3);
 
ENGINE_API void Tessellate(TArray<FVector>& Output, const FVector& P0, const FVector& P1, const FVector& P2, const FVector& P3, const float Tolerance, const int MaxLevel = 6);
 
} // namespace CubicBezier
} // namespace UE