TSphere.h

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#pragma once
 
#include "Math/Geometry/TLineSegment.h"
#include "Math/math.h"
#include "Math/math_fwd.h"
#include "Math/Geometry/TAABB3D.h"
 
#include <array>
#include <utility>
 
namespace ph::math
{
 
template<typename T>
class TSphere final
{
public:
    static TSphere makeUnit();
 
    TSphere() = default;
 
    explicit TSphere(T radius);
 
    bool isIntersecting(
        const TLineSegment<T>& segment,
        real*                  out_hitT) const;
 
    /*bool isIntersectingRefined(
        const TLineSegment<T>& segment,
        T*                     out_hitT) const;*/
 
    bool isInside(const TVector3<T>& point) const;
 
    T getRadius() const;
    T getArea() const;
    TAABB3D<T> getAABB() const;
 
    bool mayOverlapVolume(const TAABB3D<T>& volume) const;
 
 
    TVector3<T> sampleToSurfaceArchimedes(const std::array<T, 2>& sample) const;
 
    TVector3<T> sampleToSurfaceArchimedes(const std::array<T, 2>& sample, T* out_pdfA) const;
 
 
    TVector3<T> sampleToSurfaceAbsCosThetaWeighted(const std::array<T, 2>& sample) const;
 
    TVector3<T> sampleToSurfaceAbsCosThetaWeighted(const std::array<T, 2>& sample, T* out_pdfA) const;
 
    T uniformSurfaceSamplePdfA() const;
 
    TVector2<T> surfaceToLatLong01(const TVector3<T>& surface) const;
    TVector2<T> latLong01ToPhiTheta(const TVector2<T>& latLong01) const;
    TVector3<T> latLong01ToSurface(const TVector2<T>& latLong01) const;
 
    TVector2<T> surfaceToPhiTheta(const TVector3<T>& surface) const;
 
    TVector3<T> phiThetaToSurface(const TVector2<T>& phiTheta) const;
 
    template<typename SurfaceToUv>
    std::pair<TVector3<T>, TVector3<T>> surfaceDerivativesWrtUv(
        const TVector3<T>& surface, 
        SurfaceToUv        surfaceToUv, 
        T                  hInRadians = to_radians<T>(1)) const;
 
private:
    bool isIntersectingNaive(
        const TLineSegment<T>& segment,
        real* out_hitT) const;
 
    bool isIntersectingHearnBaker(
        const TLineSegment<T>& segment,
        real* out_hitT) const;
 
    T m_radius;
};
 
}// end namespace ph::math
 
#include "Math/Geometry/TSphere.ipp"