genesis-3d_engine/Engine/foundation/math/curve.h

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/****************************************************************************
Copyright (c) 2011-2013,WebJet Business Division,CYOU
http://www.genesis-3d.com.cn
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.
****************************************************************************/
#ifndef __curve_H__
#define __curve_H__
#include "util/array.h"
#include "float2.h"
#include "float3.h"
#include "quaternion.h"
namespace Math
{
template<typename T>
class TemplateKeyframe
{
public:
typedef T value_type;
TemplateKeyframe()
: mTime(0.0f) {
}
TemplateKeyframe(float t, const T& value)
: mValue(value), mTime(t) {
}
inline void SetValue(const T& value) {
mValue = value;
}
inline const T& GetValue(void) const {
return mValue;
}
inline void SetTime(float t) {
mTime = t;
}
inline float GetTime(void) const {
return mTime;
}
inline bool operator < ( const TemplateKeyframe<T>& rhs ) {
return mTime < rhs.mTime;
}
inline friend bool operator < ( const TemplateKeyframe<T>& lhs, const TemplateKeyframe<T>& rhs ) {
return lhs.mTime < rhs.mTime;
}
inline bool operator > ( const TemplateKeyframe<T>& rhs ) {
return mTime > rhs.mTime;
}
inline friend bool operator > ( const TemplateKeyframe<T>& lhs, const TemplateKeyframe<T>& rhs ) {
return lhs.mTime > rhs.mTime;
}
inline friend bool operator != ( const TemplateKeyframe<T>& lhs, const TemplateKeyframe<T>& rhs ) {
return lhs.mTime != rhs.mTime;
}
protected: // for storage, must first T, second time
T mValue;
float mTime;
};
// curve definition
template<typename T>
class Curve
{
public:
typedef T KeyFrame;
typedef typename KeyFrame::value_type KeyFrameData;
typedef Util::Array<KeyFrame> Container;
Curve() { }
~Curve() { }
struct KeyFrameCache
{
int lowerframe;
float begintime;
float endtime;
KeyFrameCache ()
{
begintime = Math::N_INFINITY;
endtime = -Math::N_INFINITY;
lowerframe = 0;
}
};
// get keyFrame Count
SizeT GetKeyFrameCount(void) const {
return mKeyFrames.Size();
}
const KeyFrame& GetKeyFrame(IndexT index) const {
n_assert( index >= 0 && index < mKeyFrames.Size() );
return mKeyFrames[index];
}
KeyFrame& GetKeyFrame(IndexT index) {
n_assert( index >= 0 && index < mKeyFrames.Size() );
return mKeyFrames[index];
}
void SetKeyFrameData( IndexT index, const KeyFrameData& data ) {
if ( index >= 0 && index < mKeyFrames.Size() ) {
mKeyFrames[index].SetValue( data );
}
}
IndexT AddKeyFrame(const KeyFrame& key ) {
return mKeyFrames.InsertSorted(key);
}
void RemoveKeyFrame(IndexT index ) {
if ( index >= 0 && index < mKeyFrames.Size() ) {
mKeyFrames.EraseIndex( index );
}
}
const Container& GetContainer(void) const {
return mKeyFrames;
}
Container& GetContainer(void){
return mKeyFrames;
}
void SetContainer( const Container& container, bool bNeedSort = true ) {
mKeyFrames = container;
if ( bNeedSort ) {
mKeyFrames.Sort();
}
}
float GetBeginTime(void) const {
return mKeyFrames.IsEmpty() ? Math::N_INFINITY : mKeyFrames.Front().GetTime();
}
float GetEndTime(void) const {
return mKeyFrames.IsEmpty() ? -Math::N_INFINITY : mKeyFrames.Back().GetTime();
}
//!!!Slow!!!
bool Validate(void) const{
return mKeyFrames.IsEmpty() ? false : mKeyFrames.IsSorted();
}
void ClearFrames()
{
mKeyFrames.Clear();
}
void ClearFrameCache()
{
mKeyFrameCache.lowerframe = 0;
mKeyFrameCache.begintime = Math::N_INFINITY;
mKeyFrameCache.endtime = -Math::N_INFINITY;
}
bool IsEmpty() const{
return mKeyFrames.IsEmpty() ? true : false;
}
int CalculateKeyFrame(float time, T& first, T& second, float& percentage);
T EvaluateFloat(float time);
T EvaluateFloat3(float time);
T EvaluateQuaternion(float time);
T EvaluateFloatOnPolyBezier(float time);
protected:
Container mKeyFrames;
KeyFrameCache mKeyFrameCache;
};
typedef TemplateKeyframe<float> FloatKeyFrame;
typedef TemplateKeyframe<float2> Float2KeyFrame;
typedef TemplateKeyframe<float3> Float3fKeyFrame;
typedef TemplateKeyframe<quaternion> QuaternionKeyFrame;
typedef Curve<FloatKeyFrame> FloatCurve;
typedef Curve<Float2KeyFrame> Float2Curve;
typedef Curve<Float3fKeyFrame> Float3fCurve;
typedef Curve<QuaternionKeyFrame> QuaternionCurve;
//--------------------------------------------------------------------------------
template<typename T>
int Curve<T>::CalculateKeyFrame(float time, T& first, T& second, float& percentage)
{
int keyCount = mKeyFrames.Size();
int lowerFrame = 0;
if (time >= mKeyFrameCache.begintime && time < mKeyFrameCache.endtime)
{
lowerFrame = mKeyFrameCache.lowerframe;
first = mKeyFrames[lowerFrame];
second = mKeyFrames[lowerFrame+1];
percentage = (time - first.GetTime()) /
( second.GetTime() - first.GetTime());
}
else
{
int nCount = keyCount;
int temp;
while (nCount > 0)
{
temp = nCount >> 1;
if (time > mKeyFrames[lowerFrame + temp].GetTime())
{
lowerFrame += temp + 1;
nCount -= temp + 1;
}
else
{
nCount = temp;
}
}
if(lowerFrame != 0)
{
lowerFrame -= 1;
}
if (lowerFrame == mKeyFrames.Size() - 1)
{
lowerFrame -= 1;
}
if (time>mKeyFrames[lowerFrame+1].GetTime() || time < mKeyFrames[lowerFrame].GetTime() && lowerFrame+1 != keyCount)
{
n_error("the time is not between two key frames");
}
first = mKeyFrames[lowerFrame];
second = mKeyFrames[lowerFrame+1];
percentage = (time - first.GetTime()) /
( second.GetTime() - first.GetTime());
mKeyFrameCache.lowerframe = lowerFrame;
mKeyFrameCache.begintime = first.GetTime();
mKeyFrameCache.endtime = second.GetTime();
}
return lowerFrame;
}
template<typename T>
T Curve<T>::EvaluateFloat(float time)
{
T resultFrame;
int keyCount = mKeyFrames.Size();
if (time > mKeyFrames[keyCount-1].GetTime() ||
n_fequal(time, mKeyFrames[keyCount-1].GetTime(), N_TINY) ||
time < mKeyFrames[0].GetTime() )
{
float result = mKeyFrames[keyCount-1].GetValue();
resultFrame.SetValue(result);
return resultFrame;
}
T first;
T second;
float percentage;
CalculateKeyFrame(time, first, second, percentage );
float reslut = Math::n_lerp(first.GetValue(), second.GetValue(), percentage);
resultFrame.SetValue(reslut);
return resultFrame;
}
template<typename T>
T Curve<T>::EvaluateFloat3(float time)
{
T resultFrame;
T first;
T second;
float percentage;
CalculateKeyFrame(time, first, second, percentage );
float3 reslut;
float lerpX, lerpY, lerpZ;
lerpX = Math::n_lerp(first.GetValue().x(), second.GetValue().x(), percentage);
lerpY = Math::n_lerp(first.GetValue().y(), second.GetValue().y(), percentage);
lerpZ = Math::n_lerp(first.GetValue().z(), second.GetValue().z(), percentage);
reslut.set(lerpX, lerpY, lerpZ);
resultFrame.SetValue(reslut);
return resultFrame;
}
template<typename T>
T Curve<T>::EvaluateQuaternion(float time)
{
T resultFrame;
T first;
T second;
float percentage;
CalculateKeyFrame(time, first, second, percentage );
quaternion reslut = quaternion::slerp(first.GetValue(), second.GetValue(), percentage);
resultFrame.SetValue(reslut);
return resultFrame;
}
}
#endif // __curve_H__