mirror of
https://github.com/TorqueGameEngines/Torque3D.git
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c19a70814c
Rephrase the macros so that they can be used in expressions, and properly require semicolons. And add the semicolons where missing.
372 lines
8.7 KiB
C++
372 lines
8.7 KiB
C++
//-----------------------------------------------------------------------------
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// Copyright (c) 2012 GarageGames, LLC
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//
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// Permission is hereby granted, free of charge, to any person obtaining a copy
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// of this software and associated documentation files (the "Software"), to
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// deal in the Software without restriction, including without limitation the
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// rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
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// sell copies of the Software, and to permit persons to whom the Software is
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// furnished to do so, subject to the following conditions:
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//
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// The above copyright notice and this permission notice shall be included in
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// all copies or substantial portions of the Software.
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//
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS
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// IN THE SOFTWARE.
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//-----------------------------------------------------------------------------
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#ifndef _CATMULLROM_H_
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#define _CATMULLROM_H_
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/// The shared base class used by the catmull rom
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/// interpolation template class.
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/// @see CatmullRom
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class CatmullRomBase
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{
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protected:
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CatmullRomBase();
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virtual ~CatmullRomBase() {}
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public:
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/// Clean out all the data.
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virtual void clear();
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/// Find length of curve between parameters t1 and t2.
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F32 arcLength( F32 t1, F32 t2 );
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/// Get the total length of the curve.
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inline F32 getLength() { return mTotalLength; }
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/// Get the closest previous control point to time t.
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U32 getPrevNode( F32 t );
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/// Returns the time at idx (rather than at a F32 time)
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F32 getTime( U32 idx );
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/// Find length of curve segment between parameters u1 and u2.
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virtual F32 segmentArcLength( U32 i, F32 u1, F32 u2 ) = 0;
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protected:
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static const F32 smX[];
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static const F32 smC[];
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void _initialize( U32 count, const F32 *times = NULL );
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/// The time to arrive at each point.
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F32 *mTimes;
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/// the length of each curve segment.
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F32* mLengths;
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/// The total length of curve.
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F32 mTotalLength;
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/// The number of points and times.
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U32 mCount;
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};
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/// The catmull-rom template class for performing interpolation
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/// over an arbitraty type.
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template<typename TYPE>
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class CatmullRom : public CatmullRomBase
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{
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public:
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CatmullRom();
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virtual ~CatmullRom();
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/// Initialization.
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void initialize( U32 count, const TYPE *positions, const F32 *times = NULL );
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// evaluate position
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TYPE evaluate( F32 t );
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/// Evaluate derivative at parameter t.
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TYPE velocity( F32 t );
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// Evaluate second derivative at parameter t.
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TYPE acceleration( F32 t );
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// Returns the position at idx (rather than at a F32 time)
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TYPE getPosition( U32 idx );
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// CatmullRomBase
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void clear();
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F32 segmentArcLength( U32 i, F32 u1, F32 u2 );
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protected:
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/// The sample points.
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TYPE* mPositions;
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private:
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/// The copy constructors are disabled.
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CatmullRom( const CatmullRom &other );
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CatmullRom& operator=( const CatmullRom &other );
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};
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template<typename TYPE>
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inline CatmullRom<TYPE>::CatmullRom()
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: CatmullRomBase(),
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mPositions( NULL )
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{
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}
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template<typename TYPE>
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inline CatmullRom<TYPE>::~CatmullRom()
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{
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clear();
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}
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template<typename TYPE>
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inline void CatmullRom<TYPE>::clear()
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{
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delete [] mPositions;
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mPositions = NULL;
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CatmullRomBase::clear();
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}
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template<typename TYPE>
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inline void CatmullRom<TYPE>::initialize( U32 count, const TYPE *positions, const F32 *times )
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{
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AssertFatal( positions, "CatmullRom::initialize - Got null position!" );
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AssertFatal( count > 1, "CatmullRom::initialize - Must have more than 2 points!" );
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// Clean up any previous state.
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clear();
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// copy the points.
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mPositions = new TYPE[count];
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for ( U32 i = 0; i < count; ++i )
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mPositions[i] = positions[i];
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_initialize( count, times );
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}
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template<typename TYPE>
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inline TYPE CatmullRom<TYPE>::evaluate( F32 t )
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{
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AssertFatal( mCount >= 2, "CatmullRom::evaluate - Not initialized!" );
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// handle boundary conditions
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if ( t <= mTimes[0] )
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return mPositions[0];
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else if ( t >= mTimes[mCount-1] )
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return mPositions[mCount-1];
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// find segment and parameter
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U32 i; // segment #
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for ( i = 0; i < mCount-1; ++i )
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{
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if ( t <= mTimes[i+1] )
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{
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break;
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}
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}
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AssertFatal( i >= 0 && i < mCount, "CatmullRom::evaluate - Got bad index!" );
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F32 t0 = mTimes[i];
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F32 t1 = mTimes[i+1];
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F32 u = (t - t0)/(t1 - t0);
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S32 idx0, idx1, idx2, idx3;
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idx0 = i - 1;
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idx1 = i;
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idx2 = i + 1;
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idx3 = i + 2;
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if ( idx0 < 0 )
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idx0 = 0;
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if ( idx3 >= mCount )
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idx3 = mCount - 1;
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TYPE A = 3.0f*mPositions[idx1]
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- mPositions[idx0]
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- 3.0f*mPositions[idx2]
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+ mPositions[idx3];
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TYPE B = 2.0f*mPositions[idx0]
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- 5.0f*mPositions[idx1]
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+ 4.0f*mPositions[idx2]
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- mPositions[idx3];
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TYPE C = mPositions[idx2] - mPositions[idx0];
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return mPositions[i] + (0.5f*u)*(C + u*(B + u*A));
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}
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template<typename TYPE>
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inline TYPE CatmullRom<TYPE>::velocity( F32 t )
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{
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AssertFatal( mCount >= 2, "CatmullRom::velocity - Not initialized!" );
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// handle boundary conditions
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if ( t <= mTimes[0] )
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t = 0.0f;
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else if ( t > mTimes[mCount-1] )
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t = mTimes[mCount-1];
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// find segment and parameter
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U32 i;
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for ( i = 0; i < mCount-1; ++i )
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{
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if ( t <= mTimes[i+1] )
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{
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break;
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}
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}
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F32 t0 = mTimes[i];
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F32 t1 = mTimes[i+1];
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F32 u = (t - t0)/(t1 - t0);
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S32 idx0, idx1, idx2, idx3;
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idx0 = i - 1;
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idx1 = i;
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idx2 = i + 1;
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idx3 = i + 2;
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if ( idx0 < 0 )
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idx0 = 0;
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if ( idx3 >= mCount )
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idx3 = mCount - 1;
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TYPE A = 3.0f*mPositions[idx1]
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- mPositions[idx0]
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- 3.0f*mPositions[idx2]
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+ mPositions[idx3];
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TYPE B = 2.0f*mPositions[idx0]
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- 5.0f*mPositions[idx1]
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+ 4.0f*mPositions[idx2]
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- mPositions[idx3];
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TYPE C = mPositions[idx2] - mPositions[idx0];
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return 0.5f*C + u*(B + 1.5f*u*A);
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}
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template<typename TYPE>
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inline TYPE CatmullRom<TYPE>::acceleration( F32 t )
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{
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AssertFatal( mCount >= 2, "CatmullRom::acceleration - Not initialized!" );
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// handle boundary conditions
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if ( t <= mTimes[0] )
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t = 0.0f;
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else if ( t > mTimes[mCount-1] )
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t = mTimes[mCount-1];
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// find segment and parameter
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U32 i;
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for ( i = 0; i < mCount-1; ++i )
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{
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if ( t <= mTimes[i+1] )
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{
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break;
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}
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}
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F32 t0 = mTimes[i];
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F32 t1 = mTimes[i+1];
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F32 u = (t - t0)/(t1 - t0);
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S32 idx0, idx1, idx2, idx3;
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idx0 = i - 1;
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idx1 = i;
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idx2 = i + 1;
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idx3 = i + 2;
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if ( idx0 < 0 )
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idx0 = 0;
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if ( idx3 >= mCount )
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idx3 = mCount - 1;
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TYPE A = 3.0f*mPositions[idx1]
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- mPositions[idx0]
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- 3.0f*mPositions[idx2]
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+ mPositions[idx3];
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TYPE B = 2.0f*mPositions[idx0]
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- 5.0f*mPositions[idx1]
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+ 4.0f*mPositions[idx2]
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- mPositions[idx3];
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TYPE C = mPositions[idx2] - mPositions[idx0];
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return B + (3.0f*u)*A;
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}
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template<typename TYPE>
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inline TYPE CatmullRom<TYPE>::getPosition( U32 idx )
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{
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AssertFatal( idx >= 0 && idx < mCount-1, "CatmullRom<>::getPosition - Got bad index!" );
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return mPositions[idx];
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}
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template<typename TYPE>
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inline F32 CatmullRom<TYPE>::segmentArcLength( U32 i, F32 u1, F32 u2 )
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{
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AssertFatal( i >= 0 && i < mCount-1, "CatmullRom<>::getPosition - Got bad index!" );
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if ( u2 <= u1 )
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return 0.0f;
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if ( u1 < 0.0f )
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u1 = 0.0f;
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if ( u2 > 1.0f )
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u2 = 1.0f;
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S32 idx0, idx1, idx2, idx3;
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idx0 = i - 1;
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idx1 = i;
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idx2 = i + 1;
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idx3 = i + 2;
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if ( idx0 < 0 )
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idx0 = 0;
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if ( idx3 >= mCount )
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idx3 = mCount - 1;
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TYPE A = 3.0f*mPositions[idx1]
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- mPositions[idx0]
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- 3.0f*mPositions[idx2]
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+ mPositions[idx3];
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TYPE B = 2.0f*mPositions[idx0]
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- 5.0f*mPositions[idx1]
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+ 4.0f*mPositions[idx2]
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- mPositions[idx3];
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TYPE C = mPositions[idx2] - mPositions[idx0];
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F32 sum = 0.0f;
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for ( U32 j = 0; j < 5; ++j )
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{
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F32 u = 0.5f*((u2 - u1)*smX[j] + u2 + u1);
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TYPE derivative;
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if ( i == 0 || i >= mCount-2)
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derivative = 0.5f*B + u*A;
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else
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derivative = 0.5f*C + u*(B + 1.5f*u*A);
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sum += smC[j]*derivative.len();
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}
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sum *= 0.5f*(u2-u1);
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return sum;
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}
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#endif // _CATMULLROM_H_
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