Danbias/Code/OysterPhysics3D/Inertia.h

119 lines
6.5 KiB
C++

/********************************************************************
* Created by Dan Andersson & Robin Engman 2014
********************************************************************/
#ifndef OYSTER_PHYSICS_3D_INERTIA_H
#define OYSTER_PHYSICS_3D_INERTIA_H
#include "OysterMath.h"
namespace Oyster { namespace Physics3D
{
struct MomentOfInertia
{
::Oyster::Math::Quaternion rotation;
::Oyster::Math::Float3 magnitude;
MomentOfInertia();
MomentOfInertia( const ::Oyster::Math::Quaternion &r, const ::Oyster::Math::Float3 &m );
MomentOfInertia & operator = ( const MomentOfInertia &i );
::Oyster::Math::Float4 CalculateAngularVelocity( const ::Oyster::Math::Quaternion &externR, const ::Oyster::Math::Float4 &angularMomentum ) const;
::Oyster::Math::Float4 & CalculateAngularVelocity( const ::Oyster::Math::Quaternion &externR, const ::Oyster::Math::Float4 &angularMomentum, ::Oyster::Math::Float4 &targetMem ) const;
::Oyster::Math::Float4 CalculateAngularMomentum( const ::Oyster::Math::Quaternion &externR, const ::Oyster::Math::Float4 &angularVelocity ) const;
::Oyster::Math::Float4 & CalculateAngularMomentum( const ::Oyster::Math::Quaternion &externR, const ::Oyster::Math::Float4 &angularVelocity, ::Oyster::Math::Float4 &targetMem ) const;
static ::Oyster::Math::Float CalculateSphere( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float radius );
static ::Oyster::Math::Float CalculateHollowSphere( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float radius );
static ::Oyster::Math::Float CalculateCuboidX( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float height, const ::Oyster::Math::Float depth );
static ::Oyster::Math::Float CalculateCuboidY( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float width, const ::Oyster::Math::Float depth );
static ::Oyster::Math::Float CalculateCuboidZ( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float width, const ::Oyster::Math::Float height );
static ::Oyster::Math::Float CalculateRodCenter( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float length );
static ::Oyster::Math::Float CalculateCylinderXY( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float height, const ::Oyster::Math::Float radius );
static ::Oyster::Math::Float CalculateCylinderZ( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float radius );
static MomentOfInertia Sphere( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float radius );
static MomentOfInertia HollowSphere( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float radius );
static MomentOfInertia Cuboid( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float height, const ::Oyster::Math::Float width, const ::Oyster::Math::Float depth );
static MomentOfInertia RodCenter( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float length );
static MomentOfInertia Cylinder( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float height, const ::Oyster::Math::Float radius );
};
inline ::Oyster::Math::Float MomentOfInertia::CalculateSphere( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float radius )
{
return (2.0f / 5.0f) * mass * radius * radius;
}
inline ::Oyster::Math::Float MomentOfInertia::CalculateHollowSphere( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float radius )
{
return (2.0f / 3.0f) * mass * radius * radius;
}
inline ::Oyster::Math::Float MomentOfInertia::CalculateCuboidX( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float height, const ::Oyster::Math::Float depth )
{
return (1.0f / 12.0f) * mass * (height * height + depth * depth);
}
inline ::Oyster::Math::Float MomentOfInertia::CalculateCuboidY( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float width, const ::Oyster::Math::Float depth )
{
return (1.0f / 12.0f) * mass * (width * width + depth * depth);
}
inline ::Oyster::Math::Float MomentOfInertia::CalculateCuboidZ( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float width, const ::Oyster::Math::Float height )
{
return (1.0f / 12.0f) * mass * (height * height + width * width);
}
inline ::Oyster::Math::Float MomentOfInertia::CalculateRodCenter( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float length )
{
return (1.0f / 12.0f) * mass * length * length;
}
inline ::Oyster::Math::Float MomentOfInertia::CalculateCylinderXY( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float height, const ::Oyster::Math::Float radius )
{
return (1.0f / 12.0f) * mass * (3.0f * radius * radius + height * height);
}
inline ::Oyster::Math::Float MomentOfInertia::CalculateCylinderZ( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float radius )
{
return 0.5f * mass * radius * radius;
}
inline MomentOfInertia MomentOfInertia::Sphere( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float radius )
{
return MomentOfInertia( ::Oyster::Math::Quaternion::identity,
::Oyster::Math::Float3(MomentOfInertia::CalculateSphere(mass, radius)) );
}
inline MomentOfInertia MomentOfInertia::HollowSphere( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float radius )
{
return MomentOfInertia( ::Oyster::Math::Quaternion::identity,
::Oyster::Math::Float3(MomentOfInertia::CalculateHollowSphere(mass, radius)) );
}
inline MomentOfInertia MomentOfInertia::Cuboid( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float height, const ::Oyster::Math::Float width, const ::Oyster::Math::Float depth )
{
return MomentOfInertia( ::Oyster::Math::Quaternion::identity,
::Oyster::Math::Float3(MomentOfInertia::CalculateCuboidX(mass, height, depth),
MomentOfInertia::CalculateCuboidY(mass, width, depth),
MomentOfInertia::CalculateCuboidZ(mass, height, width)) );
}
inline MomentOfInertia MomentOfInertia::RodCenter( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float length )
{
return MomentOfInertia( ::Oyster::Math::Quaternion::identity,
::Oyster::Math::Float3(MomentOfInertia::CalculateRodCenter(mass , length)) );
}
inline MomentOfInertia MomentOfInertia::Cylinder( const ::Oyster::Math::Float mass, const ::Oyster::Math::Float height, const ::Oyster::Math::Float radius )
{
::Oyster::Math::Float cylinderXY = MomentOfInertia::CalculateCylinderXY( mass , height, radius );
return MomentOfInertia( ::Oyster::Math::Quaternion::identity,
::Oyster::Math::Float3(cylinderXY, cylinderXY,
MomentOfInertia::CalculateCylinderZ(mass, radius)) );
}
} }
#endif