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// Geometric Tools, LLC
// Copyright (c) 1998-2014
// Distributed under the Boost Software License, Version 1.0.
// http://www.boost.org/LICENSE_1_0.txt
// http://www.geometrictools.com/License/Boost/LICENSE_1_0.txt
//
// File Version: 5.0.0 (2010/01/01)
#include "Wm5GraphicsPCH.h"
#include "Wm5CurveSegment.h"
#include "Wm5Math.h"
using namespace Wm5;
WM5_IMPLEMENT_RTTI(Wm5, Object, CurveSegment);
WM5_IMPLEMENT_STREAM(CurveSegment);
WM5_IMPLEMENT_ABSTRACT_FACTORY(CurveSegment);
//----------------------------------------------------------------------------
CurveSegment::CurveSegment (float umin, float umax)
:
mUMin(umin),
mUMax(umax)
{
}
//----------------------------------------------------------------------------
CurveSegment::~CurveSegment ()
{
}
//----------------------------------------------------------------------------
float CurveSegment::GetUMin () const
{
return mUMin;
}
//----------------------------------------------------------------------------
float CurveSegment::GetUMax () const
{
return mUMax;
}
//----------------------------------------------------------------------------
AVector CurveSegment::Tangent (float u) const
{
AVector velocity = PU(u);
velocity.Normalize();
return velocity;
}
//----------------------------------------------------------------------------
AVector CurveSegment::Normal (float u) const
{
AVector velocity = PU(u);
AVector acceleration = PUU(u);
float VDotV = velocity.Dot(velocity);
float VDotA = velocity.Dot(acceleration);
AVector normal = VDotV*acceleration - VDotA*velocity;
normal.Normalize();
return normal;
}
//----------------------------------------------------------------------------
AVector CurveSegment::Binormal (float u) const
{
AVector velocity = PU(u);
AVector acceleration = PUU(u);
float VDotV = velocity.Dot(velocity);
float VDotA = velocity.Dot(acceleration);
AVector normal = VDotV*acceleration - VDotA*velocity;
normal.Normalize();
velocity.Normalize();
AVector binormal = velocity.Cross(normal);
return binormal;
}
//----------------------------------------------------------------------------
void CurveSegment::GetFrame (float u, APoint& position, AVector& tangent,
AVector& normal, AVector& binormal) const
{
position = P(u);
AVector velocity = PU(u);
AVector acceleration = PUU(u);
float VDotV = velocity.Dot(velocity);
float VDotA = velocity.Dot(acceleration);
normal = VDotV*acceleration - VDotA*velocity;
normal.Normalize();
tangent = velocity;
tangent.Normalize();
binormal = tangent.Cross(normal);
}
//----------------------------------------------------------------------------
float CurveSegment::Curvature (float u) const
{
AVector velocity = PU(u);
float speedSqr = velocity.SquaredLength();
if (speedSqr >= Mathf::ZERO_TOLERANCE)
{
AVector acceleration = PUU(u);
AVector cross = velocity.Cross(acceleration);
float numer = cross.Length();
float denom = Mathf::Pow(speedSqr, 1.5f);
return numer/denom;
}
else
{
// Curvature is indeterminate, just return 0.
return 0.0f;
}
}
//----------------------------------------------------------------------------
float CurveSegment::Torsion (float u) const
{
AVector velocity = PU(u);
AVector acceleration = PUU(u);
AVector cross = velocity.Cross(acceleration);
float denom = cross.SquaredLength();
if (denom >= Mathf::ZERO_TOLERANCE)
{
AVector jerk = PUUU(u);
float numer = cross.Dot(jerk);
return numer/denom;
}
else
{
// Torsion is indeterminate, just return 0.
return 0.0f;
}
}
//----------------------------------------------------------------------------
//----------------------------------------------------------------------------
// Name support.
//----------------------------------------------------------------------------
Object* CurveSegment::GetObjectByName (const std::string& name)
{
return Object::GetObjectByName(name);
}
//----------------------------------------------------------------------------
void CurveSegment::GetAllObjectsByName (const std::string& name,
std::vector<Object*>& objects)
{
Object::GetAllObjectsByName(name, objects);
}
//----------------------------------------------------------------------------
//----------------------------------------------------------------------------
// Streaming support.
//----------------------------------------------------------------------------
CurveSegment::CurveSegment (LoadConstructor value)
:
Object(value),
mUMin(0.0f),
mUMax(0.0f)
{
}
//----------------------------------------------------------------------------
void CurveSegment::Load (InStream& source)
{
WM5_BEGIN_DEBUG_STREAM_LOAD(source);
Object::Load(source);
source.Read(mUMin);
source.Read(mUMax);
WM5_END_DEBUG_STREAM_LOAD(CurveSegment, source);
}
//----------------------------------------------------------------------------
void CurveSegment::Link (InStream& source)
{
Object::Link(source);
}
//----------------------------------------------------------------------------
void CurveSegment::PostLink ()
{
Object::PostLink();
}
//----------------------------------------------------------------------------
bool CurveSegment::Register (OutStream& target) const
{
return Object::Register(target);
}
//----------------------------------------------------------------------------
void CurveSegment::Save (OutStream& target) const
{
WM5_BEGIN_DEBUG_STREAM_SAVE(target);
Object::Save(target);
target.Write(mUMin);
target.Write(mUMax);
WM5_END_DEBUG_STREAM_SAVE(CurveSegment, target);
}
//----------------------------------------------------------------------------
int CurveSegment::GetStreamingSize () const
{
int size = Object::GetStreamingSize();
size += sizeof(mUMin);
size += sizeof(mUMax);
return size;
}
//----------------------------------------------------------------------------
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