Sphere.hpp

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#ifndef Sphere_INCLUDE_ONCE
#define Sphere_INCLUDE_ONCE

#include <vlCore/AABB.hpp>

namespace vl
{
//-----------------------------------------------------------------------------
// Sphere
//-----------------------------------------------------------------------------
  class VLCORE_EXPORT Sphere
  {
  public:
    Sphere(): mRadius(-1) { }

    Sphere(const vec3& center, real radius): mCenter(center), mRadius(radius) {}

    Sphere(const AABB& aabb) { *this = aabb; }

    void setNull()  { mRadius =-1.0f; mCenter = vec3(0,0,0); }

    bool isNull()  const { return mRadius <  0.0f; }

    bool isPoint() const { return mRadius == 0.0f; }

    void setCenter(const vec3& center) { mCenter = center; }

    const vec3& center() const { return mCenter; }

    void setRadius( real radius ) { mRadius = radius; }

    real radius() const { return mRadius; }

    bool includes(const Sphere& other) const
    {
      if (isNull())
        return false;
      else
      if (other.isNull())
        return true;
      else
      {
        real distance = (center() - other.center()).length();
        return radius() >= distance + other.radius();
      }
    }

    bool operator==(const Sphere& other) const
    {
      return mCenter == other.mCenter && mRadius == other.mRadius;
    }

    bool operator!=(const Sphere& other) const
    {
      return !operator==(other);
    }

    Sphere& operator=(const AABB& aabb)
    {
      if (aabb.isNull())
        setNull();
      else
      {
        mCenter = aabb.center();
        mRadius = (aabb.minCorner() - aabb.maxCorner()).length() / (real)2.0;
      }
      return *this;
    }

    Sphere operator+(const Sphere& other)
    {
      Sphere t = *this;
      return t += other;
    }

    const Sphere& operator+=(const Sphere& other)
    {
      if (this->isNull())
        *this = other;
      else
      if (other.includes(*this))
      {
        *this = other;
      }
      else
      if (!other.isNull() && !this->includes(other))
      {
        vec3 v = other.center() - this->center();
        if (v.isNull())
        {
          // the center remains the same
          // sets the maximum radius
          setRadius( radius() > other.radius() ? radius() : other.radius() );
        }
        else
        {
          v.normalize();
          vec3 p0 = this->center() - v * this->radius();
          vec3 p1 = other.center() + v * other.radius();
          setCenter( (p0 + p1)*(real)0.5 );
          setRadius( (p0 - p1).length()*(real)0.5 );
        }
      }

      return *this;
    }

    void transformed(Sphere& out, const mat4& mat) const
    {
      out.setNull();
      if ( !isNull() )
      {
        out.mCenter = mat * center();
        // vec3 p = center() + vec3( (real)0.577350269189625840, (real)0.577350269189625840, (real)0.577350269189625840 ) * radius();
        // p = mat * p;
        // p = p - out.center();
        // out.setRadius(p.length());
        vec3 p0 = center() + vec3(radius(),0,0);
        vec3 p1 = center() + vec3(0,radius(),0);
        vec3 p2 = center() + vec3(0,0,radius());
        p0 = mat * p0;
        p1 = mat * p1;
        p2 = mat * p2;
        real d0 = (p0 - out.mCenter).lengthSquared();
        real d1 = (p1 - out.mCenter).lengthSquared();
        real d2 = (p2 - out.mCenter).lengthSquared();
        out.mRadius = ::sqrt( d0>d1 ? (d0>d2?d0:d2) : (d1>d2?d1:d2) );
      }
    }

    Sphere transformed(const mat4& mat) const
    {
      Sphere sphere;
      transformed(sphere, mat);
      return sphere;
    }

  protected:
    vec3 mCenter;
    real mRadius;
  };
}

#endif