418 lines
15 KiB
C++
418 lines
15 KiB
C++
/*
|
|
===========================================================================
|
|
|
|
Doom 3 GPL Source Code
|
|
Copyright (C) 1999-2011 id Software LLC, a ZeniMax Media company.
|
|
|
|
This file is part of the Doom 3 GPL Source Code (?Doom 3 Source Code?).
|
|
|
|
Doom 3 Source Code is free software: you can redistribute it and/or modify
|
|
it under the terms of the GNU General Public License as published by
|
|
the Free Software Foundation, either version 3 of the License, or
|
|
(at your option) any later version.
|
|
|
|
Doom 3 Source Code is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
GNU General Public License for more details.
|
|
|
|
You should have received a copy of the GNU General Public License
|
|
along with Doom 3 Source Code. If not, see <http://www.gnu.org/licenses/>.
|
|
|
|
In addition, the Doom 3 Source Code is also subject to certain additional terms. You should have received a copy of these additional terms immediately following the terms and conditions of the GNU General Public License which accompanied the Doom 3 Source Code. If not, please request a copy in writing from id Software at the address below.
|
|
|
|
If you have questions concerning this license or the applicable additional terms, you may contact in writing id Software LLC, c/o ZeniMax Media Inc., Suite 120, Rockville, Maryland 20850 USA.
|
|
|
|
===========================================================================
|
|
*/
|
|
|
|
#ifndef __MATH_INTERPOLATE_H__
|
|
#define __MATH_INTERPOLATE_H__
|
|
|
|
/*
|
|
==============================================================================================
|
|
|
|
Linear interpolation.
|
|
|
|
==============================================================================================
|
|
*/
|
|
|
|
template< class type >
|
|
class idInterpolate {
|
|
public:
|
|
idInterpolate();
|
|
|
|
void Init( const float startTime, const float duration, const type &startValue, const type &endValue );
|
|
void SetStartTime( float time ) { this->startTime = time; }
|
|
void SetDuration( float duration ) { this->duration = duration; }
|
|
void SetStartValue( const type &startValue ) { this->startValue = startValue; }
|
|
void SetEndValue( const type &endValue ) { this->endValue = endValue; }
|
|
|
|
type GetCurrentValue( float time ) const;
|
|
bool IsDone( float time ) const { return ( time >= startTime + duration ); }
|
|
|
|
float GetStartTime( void ) const { return startTime; }
|
|
float GetEndTime( void ) const { return startTime + duration; }
|
|
float GetDuration( void ) const { return duration; }
|
|
const type & GetStartValue( void ) const { return startValue; }
|
|
const type & GetEndValue( void ) const { return endValue; }
|
|
|
|
private:
|
|
float startTime;
|
|
float duration;
|
|
type startValue;
|
|
type endValue;
|
|
mutable float currentTime;
|
|
mutable type currentValue;
|
|
};
|
|
|
|
/*
|
|
====================
|
|
idInterpolate::idInterpolate
|
|
====================
|
|
*/
|
|
template< class type >
|
|
ID_INLINE idInterpolate<type>::idInterpolate() {
|
|
currentTime = startTime = duration = 0;
|
|
memset( ¤tValue, 0, sizeof( currentValue ) );
|
|
startValue = endValue = currentValue;
|
|
}
|
|
|
|
/*
|
|
====================
|
|
idInterpolate::Init
|
|
====================
|
|
*/
|
|
template< class type >
|
|
ID_INLINE void idInterpolate<type>::Init( const float startTime, const float duration, const type &startValue, const type &endValue ) {
|
|
this->startTime = startTime;
|
|
this->duration = duration;
|
|
this->startValue = startValue;
|
|
this->endValue = endValue;
|
|
this->currentTime = startTime - 1;
|
|
this->currentValue = startValue;
|
|
}
|
|
|
|
/*
|
|
====================
|
|
idInterpolate::GetCurrentValue
|
|
====================
|
|
*/
|
|
template< class type >
|
|
ID_INLINE type idInterpolate<type>::GetCurrentValue( float time ) const {
|
|
float deltaTime;
|
|
|
|
deltaTime = time - startTime;
|
|
if ( time != currentTime ) {
|
|
currentTime = time;
|
|
if ( deltaTime <= 0 ) {
|
|
currentValue = startValue;
|
|
} else if ( deltaTime >= duration ) {
|
|
currentValue = endValue;
|
|
} else {
|
|
currentValue = startValue + ( endValue - startValue ) * ( (float) deltaTime / duration );
|
|
}
|
|
}
|
|
return currentValue;
|
|
}
|
|
|
|
|
|
/*
|
|
==============================================================================================
|
|
|
|
Continuous interpolation with linear acceleration and deceleration phase.
|
|
The velocity is continuous but the acceleration is not.
|
|
|
|
==============================================================================================
|
|
*/
|
|
|
|
template< class type >
|
|
class idInterpolateAccelDecelLinear {
|
|
public:
|
|
idInterpolateAccelDecelLinear();
|
|
|
|
void Init( const float startTime, const float accelTime, const float decelTime, const float duration, const type &startValue, const type &endValue );
|
|
void SetStartTime( float time ) { startTime = time; Invalidate(); }
|
|
void SetStartValue( const type &startValue ) { this->startValue = startValue; Invalidate(); }
|
|
void SetEndValue( const type &endValue ) { this->endValue = endValue; Invalidate(); }
|
|
|
|
type GetCurrentValue( float time ) const;
|
|
type GetCurrentSpeed( float time ) const;
|
|
bool IsDone( float time ) const { return ( time >= startTime + accelTime + linearTime + decelTime ); }
|
|
|
|
float GetStartTime( void ) const { return startTime; }
|
|
float GetEndTime( void ) const { return startTime + accelTime + linearTime + decelTime; }
|
|
float GetDuration( void ) const { return accelTime + linearTime + decelTime; }
|
|
float GetAcceleration( void ) const { return accelTime; }
|
|
float GetDeceleration( void ) const { return decelTime; }
|
|
const type & GetStartValue( void ) const { return startValue; }
|
|
const type & GetEndValue( void ) const { return endValue; }
|
|
|
|
private:
|
|
float startTime;
|
|
float accelTime;
|
|
float linearTime;
|
|
float decelTime;
|
|
type startValue;
|
|
type endValue;
|
|
mutable idExtrapolate<type> extrapolate;
|
|
|
|
void Invalidate( void );
|
|
void SetPhase( float time ) const;
|
|
};
|
|
|
|
/*
|
|
====================
|
|
idInterpolateAccelDecelLinear::idInterpolateAccelDecelLinear
|
|
====================
|
|
*/
|
|
template< class type >
|
|
ID_INLINE idInterpolateAccelDecelLinear<type>::idInterpolateAccelDecelLinear() {
|
|
startTime = accelTime = linearTime = decelTime = 0;
|
|
memset( &startValue, 0, sizeof( startValue ) );
|
|
endValue = startValue;
|
|
}
|
|
|
|
/*
|
|
====================
|
|
idInterpolateAccelDecelLinear::Init
|
|
====================
|
|
*/
|
|
template< class type >
|
|
ID_INLINE void idInterpolateAccelDecelLinear<type>::Init( const float startTime, const float accelTime, const float decelTime, const float duration, const type &startValue, const type &endValue ) {
|
|
type speed;
|
|
|
|
this->startTime = startTime;
|
|
this->accelTime = accelTime;
|
|
this->decelTime = decelTime;
|
|
this->startValue = startValue;
|
|
this->endValue = endValue;
|
|
|
|
if ( duration <= 0.0f ) {
|
|
return;
|
|
}
|
|
|
|
if ( this->accelTime + this->decelTime > duration ) {
|
|
this->accelTime = this->accelTime * duration / ( this->accelTime + this->decelTime );
|
|
this->decelTime = duration - this->accelTime;
|
|
}
|
|
this->linearTime = duration - this->accelTime - this->decelTime;
|
|
speed = ( endValue - startValue ) * ( 1000.0f / ( (float) this->linearTime + ( this->accelTime + this->decelTime ) * 0.5f ) );
|
|
|
|
if ( this->accelTime ) {
|
|
extrapolate.Init( startTime, this->accelTime, startValue, ( startValue - startValue ), speed, EXTRAPOLATION_ACCELLINEAR );
|
|
} else if ( this->linearTime ) {
|
|
extrapolate.Init( startTime, this->linearTime, startValue, ( startValue - startValue ), speed, EXTRAPOLATION_LINEAR );
|
|
} else {
|
|
extrapolate.Init( startTime, this->decelTime, startValue, ( startValue - startValue ), speed, EXTRAPOLATION_DECELLINEAR );
|
|
}
|
|
}
|
|
|
|
/*
|
|
====================
|
|
idInterpolateAccelDecelLinear::Invalidate
|
|
====================
|
|
*/
|
|
template< class type >
|
|
ID_INLINE void idInterpolateAccelDecelLinear<type>::Invalidate( void ) {
|
|
extrapolate.Init( 0, 0, extrapolate.GetStartValue(), extrapolate.GetBaseSpeed(), extrapolate.GetSpeed(), EXTRAPOLATION_NONE );
|
|
}
|
|
|
|
/*
|
|
====================
|
|
idInterpolateAccelDecelLinear::SetPhase
|
|
====================
|
|
*/
|
|
template< class type >
|
|
ID_INLINE void idInterpolateAccelDecelLinear<type>::SetPhase( float time ) const {
|
|
float deltaTime;
|
|
|
|
deltaTime = time - startTime;
|
|
if ( deltaTime < accelTime ) {
|
|
if ( extrapolate.GetExtrapolationType() != EXTRAPOLATION_ACCELLINEAR ) {
|
|
extrapolate.Init( startTime, accelTime, startValue, extrapolate.GetBaseSpeed(), extrapolate.GetSpeed(), EXTRAPOLATION_ACCELLINEAR );
|
|
}
|
|
} else if ( deltaTime < accelTime + linearTime ) {
|
|
if ( extrapolate.GetExtrapolationType() != EXTRAPOLATION_LINEAR ) {
|
|
extrapolate.Init( startTime + accelTime, linearTime, startValue + extrapolate.GetSpeed() * ( accelTime * 0.001f * 0.5f ), extrapolate.GetBaseSpeed(), extrapolate.GetSpeed(), EXTRAPOLATION_LINEAR );
|
|
}
|
|
} else {
|
|
if ( extrapolate.GetExtrapolationType() != EXTRAPOLATION_DECELLINEAR ) {
|
|
extrapolate.Init( startTime + accelTime + linearTime, decelTime, endValue - ( extrapolate.GetSpeed() * ( decelTime * 0.001f * 0.5f ) ), extrapolate.GetBaseSpeed(), extrapolate.GetSpeed(), EXTRAPOLATION_DECELLINEAR );
|
|
}
|
|
}
|
|
}
|
|
|
|
/*
|
|
====================
|
|
idInterpolateAccelDecelLinear::GetCurrentValue
|
|
====================
|
|
*/
|
|
template< class type >
|
|
ID_INLINE type idInterpolateAccelDecelLinear<type>::GetCurrentValue( float time ) const {
|
|
SetPhase( time );
|
|
return extrapolate.GetCurrentValue( time );
|
|
}
|
|
|
|
/*
|
|
====================
|
|
idInterpolateAccelDecelLinear::GetCurrentSpeed
|
|
====================
|
|
*/
|
|
template< class type >
|
|
ID_INLINE type idInterpolateAccelDecelLinear<type>::GetCurrentSpeed( float time ) const {
|
|
SetPhase( time );
|
|
return extrapolate.GetCurrentSpeed( time );
|
|
}
|
|
|
|
|
|
/*
|
|
==============================================================================================
|
|
|
|
Continuous interpolation with sinusoidal acceleration and deceleration phase.
|
|
Both the velocity and acceleration are continuous.
|
|
|
|
==============================================================================================
|
|
*/
|
|
|
|
template< class type >
|
|
class idInterpolateAccelDecelSine {
|
|
public:
|
|
idInterpolateAccelDecelSine();
|
|
|
|
void Init( const float startTime, const float accelTime, const float decelTime, const float duration, const type &startValue, const type &endValue );
|
|
void SetStartTime( float time ) { startTime = time; Invalidate(); }
|
|
void SetStartValue( const type &startValue ) { this->startValue = startValue; Invalidate(); }
|
|
void SetEndValue( const type &endValue ) { this->endValue = endValue; Invalidate(); }
|
|
|
|
type GetCurrentValue( float time ) const;
|
|
type GetCurrentSpeed( float time ) const;
|
|
bool IsDone( float time ) const { return ( time >= startTime + accelTime + linearTime + decelTime ); }
|
|
|
|
float GetStartTime( void ) const { return startTime; }
|
|
float GetEndTime( void ) const { return startTime + accelTime + linearTime + decelTime; }
|
|
float GetDuration( void ) const { return accelTime + linearTime + decelTime; }
|
|
float GetAcceleration( void ) const { return accelTime; }
|
|
float GetDeceleration( void ) const { return decelTime; }
|
|
const type & GetStartValue( void ) const { return startValue; }
|
|
const type & GetEndValue( void ) const { return endValue; }
|
|
|
|
private:
|
|
float startTime;
|
|
float accelTime;
|
|
float linearTime;
|
|
float decelTime;
|
|
type startValue;
|
|
type endValue;
|
|
mutable idExtrapolate<type> extrapolate;
|
|
|
|
void Invalidate( void );
|
|
void SetPhase( float time ) const;
|
|
};
|
|
|
|
/*
|
|
====================
|
|
idInterpolateAccelDecelSine::idInterpolateAccelDecelSine
|
|
====================
|
|
*/
|
|
template< class type >
|
|
ID_INLINE idInterpolateAccelDecelSine<type>::idInterpolateAccelDecelSine() {
|
|
startTime = accelTime = linearTime = decelTime = 0;
|
|
memset( &startValue, 0, sizeof( startValue ) );
|
|
endValue = startValue;
|
|
}
|
|
|
|
/*
|
|
====================
|
|
idInterpolateAccelDecelSine::Init
|
|
====================
|
|
*/
|
|
template< class type >
|
|
ID_INLINE void idInterpolateAccelDecelSine<type>::Init( const float startTime, const float accelTime, const float decelTime, const float duration, const type &startValue, const type &endValue ) {
|
|
type speed;
|
|
|
|
this->startTime = startTime;
|
|
this->accelTime = accelTime;
|
|
this->decelTime = decelTime;
|
|
this->startValue = startValue;
|
|
this->endValue = endValue;
|
|
|
|
if ( duration <= 0.0f ) {
|
|
return;
|
|
}
|
|
|
|
if ( this->accelTime + this->decelTime > duration ) {
|
|
this->accelTime = this->accelTime * duration / ( this->accelTime + this->decelTime );
|
|
this->decelTime = duration - this->accelTime;
|
|
}
|
|
this->linearTime = duration - this->accelTime - this->decelTime;
|
|
speed = ( endValue - startValue ) * ( 1000.0f / ( (float) this->linearTime + ( this->accelTime + this->decelTime ) * idMath::SQRT_1OVER2 ) );
|
|
|
|
if ( this->accelTime ) {
|
|
extrapolate.Init( startTime, this->accelTime, startValue, ( startValue - startValue ), speed, EXTRAPOLATION_ACCELSINE );
|
|
} else if ( this->linearTime ) {
|
|
extrapolate.Init( startTime, this->linearTime, startValue, ( startValue - startValue ), speed, EXTRAPOLATION_LINEAR );
|
|
} else {
|
|
extrapolate.Init( startTime, this->decelTime, startValue, ( startValue - startValue ), speed, EXTRAPOLATION_DECELSINE );
|
|
}
|
|
}
|
|
|
|
/*
|
|
====================
|
|
idInterpolateAccelDecelSine::Invalidate
|
|
====================
|
|
*/
|
|
template< class type >
|
|
ID_INLINE void idInterpolateAccelDecelSine<type>::Invalidate( void ) {
|
|
extrapolate.Init( 0, 0, extrapolate.GetStartValue(), extrapolate.GetBaseSpeed(), extrapolate.GetSpeed(), EXTRAPOLATION_NONE );
|
|
}
|
|
|
|
/*
|
|
====================
|
|
idInterpolateAccelDecelSine::SetPhase
|
|
====================
|
|
*/
|
|
template< class type >
|
|
ID_INLINE void idInterpolateAccelDecelSine<type>::SetPhase( float time ) const {
|
|
float deltaTime;
|
|
|
|
deltaTime = time - startTime;
|
|
if ( deltaTime < accelTime ) {
|
|
if ( extrapolate.GetExtrapolationType() != EXTRAPOLATION_ACCELSINE ) {
|
|
extrapolate.Init( startTime, accelTime, startValue, extrapolate.GetBaseSpeed(), extrapolate.GetSpeed(), EXTRAPOLATION_ACCELSINE );
|
|
}
|
|
} else if ( deltaTime < accelTime + linearTime ) {
|
|
if ( extrapolate.GetExtrapolationType() != EXTRAPOLATION_LINEAR ) {
|
|
extrapolate.Init( startTime + accelTime, linearTime, startValue + extrapolate.GetSpeed() * ( accelTime * 0.001f * idMath::SQRT_1OVER2 ), extrapolate.GetBaseSpeed(), extrapolate.GetSpeed(), EXTRAPOLATION_LINEAR );
|
|
}
|
|
} else {
|
|
if ( extrapolate.GetExtrapolationType() != EXTRAPOLATION_DECELSINE ) {
|
|
extrapolate.Init( startTime + accelTime + linearTime, decelTime, endValue - ( extrapolate.GetSpeed() * ( decelTime * 0.001f * idMath::SQRT_1OVER2 ) ), extrapolate.GetBaseSpeed(), extrapolate.GetSpeed(), EXTRAPOLATION_DECELSINE );
|
|
}
|
|
}
|
|
}
|
|
|
|
/*
|
|
====================
|
|
idInterpolateAccelDecelSine::GetCurrentValue
|
|
====================
|
|
*/
|
|
template< class type >
|
|
ID_INLINE type idInterpolateAccelDecelSine<type>::GetCurrentValue( float time ) const {
|
|
SetPhase( time );
|
|
return extrapolate.GetCurrentValue( time );
|
|
}
|
|
|
|
/*
|
|
====================
|
|
idInterpolateAccelDecelSine::GetCurrentSpeed
|
|
====================
|
|
*/
|
|
template< class type >
|
|
ID_INLINE type idInterpolateAccelDecelSine<type>::GetCurrentSpeed( float time ) const {
|
|
SetPhase( time );
|
|
return extrapolate.GetCurrentSpeed( time );
|
|
}
|
|
|
|
#endif /* !__MATH_INTERPOLATE_H__ */
|