UnrealEngineUWP/Engine/Plugins/Runtime/GeometryProcessing/Source/GeometryAlgorithms/Private/MinVolumeBox3.cpp

// Copyright Epic Games, Inc. All Rights Reserved.

#include "MinVolumeBox3.h"

#if defined(_MSC_VER) && USING_CODE_ANALYSIS
#pragma warning(push)
#pragma warning(disable : 28020)		// disable this warning that occurs in GteMinimumVolumeBox3.h
#endif
THIRD_PARTY_INCLUDES_START
#include "ThirdParty/GTEngine/Mathematics/GteBSNumber.h"
#include "ThirdParty/GTEngine/Mathematics/GteBSRational.h"
#include "ThirdParty/GTEngine/Mathematics/GteUIntegerFP32.h"
#include "ThirdParty/GTEngine/Mathematics/GteUIntegerAP32.h"
#include "ThirdParty/GTEngine/Mathematics/GteConvexHull3.h"
#include "ThirdParty/GTEngine/Mathematics/GteMinimumVolumeBox3.h"
THIRD_PARTY_INCLUDES_END
#if defined(_MSC_VER) && USING_CODE_ANALYSIS
#pragma warning(pop)
#endif

#include "CompGeom/ConvexHull3.h"

#include "GteUtil.h"
#include "Util/ProgressCancel.h"
#include "Util/IteratorUtil.h"

using namespace UE::Geometry;
using namespace UE::Math;

namespace UE {
namespace Geometry {

template <typename RealType>
struct TMinVolumeBox3Internal
{
	using PreciseHullNumberType = gte::BSNumber<gte::UIntegerFP32<197>>;		// 197 is from ConvexHull3 documentation
	using PreciseBoxNumberType = gte::BSRational<gte::UIntegerAP32>;
	using DVector3 = gte::Vector3<double>;

	bool bUseExactBox;
	TArray<DVector3> DoubleInput;

	TOrientedBox3<RealType> Result;
	bool bSolutionOK;

	void SetPoint(int32 Index, const TVector<RealType>& Point)
	{
		DoubleInput[Index] = DVector3{ {(double)Point.X, (double)Point.Y, (double)Point.Z} };
	}

	bool ComputeResult(FProgressCancel* Progress)
	{
		gte::OrientedBox3<double> MinimalBox = gte::OrientedBox3<double>();

		FConvexHull3d HullCompute;
		bSolutionOK = HullCompute.Solve(DoubleInput.Num(),
										[this](int32 Index) 
		{
			return FVector3d{ DoubleInput[Index][0], DoubleInput[Index][1], DoubleInput[Index][2]};
		});

		if (!bSolutionOK)
		{
			return false;
		}

		int NumIndices = 3 * HullCompute.GetTriangles().Num();
		if (NumIndices < 1)
		{
			bSolutionOK = false;
			return false;
		}

		if (Progress && Progress->Cancelled())
		{
			return false;
		}

		const int* Indices = static_cast<const int*>(&(HullCompute.GetTriangles()[0][0]));		// Eww

		if (bUseExactBox)
		{
			gte::MinimumVolumeBox3<double, PreciseBoxNumberType> BoxCompute;
			MinimalBox = BoxCompute(DoubleInput.Num(), &DoubleInput[0], NumIndices, Indices, Progress);
		}
		else
		{
			gte::MinimumVolumeBox3<double, double> DoubleCompute;
			MinimalBox = DoubleCompute(DoubleInput.Num(), &DoubleInput[0], NumIndices, Indices, Progress);
		}
		bSolutionOK = true;

		// if resulting box is not finite, something went wrong, just return an empty box
		FVector3d Extents = Convert(MinimalBox.extent);
		if (!FMathd::IsFinite(Extents.SquaredLength()))
		{
			bSolutionOK = false;
			MinimalBox = gte::OrientedBox3<double>();
		}

		Result.Frame = TFrame3<RealType>(
			TVector<RealType>((RealType)MinimalBox.center[0], (RealType)MinimalBox.center[1], (RealType)MinimalBox.center[2]),
			TVector<RealType>((RealType)MinimalBox.axis[0][0], (RealType)MinimalBox.axis[0][1], (RealType)MinimalBox.axis[0][2]),
			TVector<RealType>((RealType)MinimalBox.axis[1][0], (RealType)MinimalBox.axis[1][1], (RealType)MinimalBox.axis[1][2]),
			TVector<RealType>((RealType)MinimalBox.axis[2][0], (RealType)MinimalBox.axis[2][1], (RealType)MinimalBox.axis[2][2]) );
		Result.Extents = TVector<RealType>((RealType)MinimalBox.extent[0], (RealType)MinimalBox.extent[1], (RealType)MinimalBox.extent[2]);

		return true;
	}

};

} // end namespace UE::Geometry
} // end namespace UE

template<typename RealType>
bool TMinVolumeBox3<RealType>::Solve(int32 NumPoints, TFunctionRef<TVector<RealType>(int32)> GetPointFunc, bool bUseExactBox, FProgressCancel* Progress )
{
	Initialize(NumPoints, bUseExactBox);
	check(Internal);

	for (int32 k = 0; k < NumPoints; ++k)
	{
		TVector<RealType> Point = GetPointFunc(k);
		Internal->SetPoint(k, Point);
	}
	
	return Internal->ComputeResult(Progress);
}


template<typename RealType>
bool TMinVolumeBox3<RealType>::SolveSubsample(int32 NumPoints, int32 MaxPoints, TFunctionRef<TVector<RealType>(int32)> GetPointFunc, bool bUseExactBox, FProgressCancel* Progress)
{
	if (NumPoints <= MaxPoints)
	{
		return Solve(NumPoints, GetPointFunc, bUseExactBox, Progress);
	}

	Initialize(MaxPoints, bUseExactBox);
	check(Internal);

	int32 k = 0;
	FModuloIteration Iter(NumPoints);
	int32 Index;
	while (Iter.GetNextIndex(Index) && k < MaxPoints)
	{
		TVector<RealType> Point = GetPointFunc(Index);
		Internal->SetPoint(k, Point);
		k++;
	}

	return Internal->ComputeResult(Progress);
}

template<typename RealType>
bool TMinVolumeBox3<RealType>::IsSolutionAvailable() const
{
	return Internal && Internal->bSolutionOK;
}

template<typename RealType>
void TMinVolumeBox3<RealType>::GetResult(TOrientedBox3<RealType>& BoxOut)
{
	ensure(IsSolutionAvailable());
	BoxOut = Internal->Result;
}


template<typename RealType>
void TMinVolumeBox3<RealType>::Initialize(int32 NumPoints, bool bUseExactBox)
{
	Internal = MakePimpl<TMinVolumeBox3Internal<RealType>>();
	Internal->bUseExactBox = bUseExactBox;
	Internal->DoubleInput.SetNum(NumPoints);
}


namespace UE
{
namespace Geometry
{

template class GEOMETRYALGORITHMS_API TMinVolumeBox3<float>;
template class GEOMETRYALGORITHMS_API TMinVolumeBox3<double>;

} // end namespace UE::Geometry
} // end namespace UE