FMathHelper.h

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#pragma once
 
struct FMathHelper
{
 
    static FVector SolveV0ForProjectile(
        const FVector& Start,
        const FVector& End,
        float Time,
        float GravityZ = -980.f)
    {
        if (Time <= KINDA_SMALL_NUMBER)
            return FVector::ZeroVector;
 
        const FVector g(0, 0, GravityZ);
        return (End - Start - 0.5f * g * Time * Time) / Time;
    }
    
    static FVector InterpArcSin(
        const FVector& Start,
        const FVector& End,
        float Height,
        float Alpha)
    {
        FVector Base = FMath::Lerp(Start, End, Alpha);
        float OffsetZ = FMath::Sin(Alpha * PI) * Height; // (0→Height→0)
        return Base + FVector(0, 0, OffsetZ);
    }
 
    static void DrawProjectileArcDebug(
        UWorld* World,
        const FVector& Start,
        const FVector& V0,
        float GravityZ = -980.f,
        int32 NumSegments = 20,
        float StepTime = 0.1f,
        float LifeTime = 2.0f,
        FColor Color = FColor::Red)
    {
        if (!World) return;
 
        const FVector g(0, 0, GravityZ);
 
        FVector PrevPos = Start;
        for (int32 i = 1; i <= NumSegments; ++i)
        {
            float t = StepTime * i;
            FVector CurrPos = SolveV0ForProjectile(PrevPos, CurrPos, t, GravityZ);
            // Start + V0 * t + 0.5f * g * t * t;
 
            DrawDebugLine(World, PrevPos, CurrPos, Color, false, LifeTime, 0, 1.5f);
            PrevPos = CurrPos;
        }
    }
    
    static void DrawParabolaDebug(
        UWorld* World,
        const FVector& Start,
        const FVector& End,
        const float Height,
        const int32 NumSegments = 20,
        const float LifeTime = 2.0f,
        const FColor Color = FColor::Green)
    {
        if (!World) return;
 
        FVector PrevPos = Start;
        for (int32 i = 1; i <= NumSegments; ++i)
        {
            const float Alpha = (float)i / (float)NumSegments;
            FVector CurrPos = InterpArcSin(Start, End, Height, Alpha);
 
            DrawDebugLine(World, PrevPos, CurrPos, Color, false, LifeTime, 0, 1.5f);
            PrevPos = CurrPos;
        }
    }
};