555 lines
		
	
	
		
			10 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
			
		
		
	
	
			555 lines
		
	
	
		
			10 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
| /*
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| Bullet Continuous Collision Detection and Physics Library
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| Copyright (c) 2003-2013 Erwin Coumans  http://bulletphysics.org
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| 
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| This software is provided 'as-is', without any express or implied warranty.
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| In no event will the authors be held liable for any damages arising from the use of this software.
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| Permission is granted to anyone to use this software for any purpose, 
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| including commercial applications, and to alter it and redistribute it freely, 
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| subject to the following restrictions:
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| 
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| 1. The origin of this software must not be misrepresented; you must not claim that you wrote the original software. If you use this software in a product, an acknowledgment in the product documentation would be appreciated but is not required.
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| 2. Altered source versions must be plainly marked as such, and must not be misrepresented as being the original software.
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| 3. This notice may not be removed or altered from any source distribution.
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| */
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| ///original version written by Erwin Coumans, October 2013
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| 
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| #ifndef BT_MATRIX_X_H
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| #define BT_MATRIX_X_H
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| 
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| #include "LinearMath/btQuickprof.h"
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| #include "LinearMath/btAlignedObjectArray.h"
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| #include <stdio.h>
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| 
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| //#define BT_DEBUG_OSTREAM
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| #ifdef BT_DEBUG_OSTREAM
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| #include <iostream>
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| #include <iomanip>      // std::setw
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| #endif //BT_DEBUG_OSTREAM
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| 
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| class btIntSortPredicate
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| {
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| 	public:
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| 		bool operator() ( const int& a, const int& b ) const
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| 		{
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| 			 return a < b;
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| 		}
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| };
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| 
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| 
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| template <typename T>
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| struct btVectorX
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| {
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| 	btAlignedObjectArray<T>	m_storage;
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| 	
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| 	btVectorX()
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| 	{
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| 	}
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| 	btVectorX(int numRows)
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| 	{
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| 		m_storage.resize(numRows);
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| 	}
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| 	
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| 	void resize(int rows)
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| 	{
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| 		m_storage.resize(rows);
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| 	}
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| 	int cols() const
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| 	{
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| 		return 1;
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| 	}
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| 	int rows() const
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| 	{
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| 		return m_storage.size();
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| 	}
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| 	int size() const
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| 	{
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| 		return rows();
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| 	}
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| 	
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| 	T nrm2() const
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| 	{
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| 		T norm = T(0);
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| 		
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| 		int nn = rows();
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| 		
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| 		{
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| 			if (nn == 1)
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| 			{
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| 				norm = btFabs((*this)[0]);
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| 			}
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| 			else
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| 			{
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| 				T scale = 0.0;
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| 				T ssq = 1.0;
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| 				
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| 				/* The following loop is equivalent to this call to the LAPACK
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| 				 auxiliary routine:   CALL SLASSQ( N, X, INCX, SCALE, SSQ ) */
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| 				
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| 				for (int ix=0;ix<nn;ix++)
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| 				{
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| 					if ((*this)[ix] != 0.0)
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| 					{
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| 						T absxi = btFabs((*this)[ix]);
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| 						if (scale < absxi)
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| 						{
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| 							T temp;
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| 							temp = scale / absxi;
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| 							ssq = ssq * (temp * temp) + BT_ONE;
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| 							scale = absxi;
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| 						}
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| 						else
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| 						{
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| 							T temp;
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| 							temp = absxi / scale;
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| 							ssq += temp * temp;
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| 						}
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| 					}
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| 				}
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| 				norm = scale * sqrt(ssq);
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| 			}
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| 		}
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| 		return norm;
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| 		
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| 	}
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| 	void	setZero()
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| 	{
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| 		if (m_storage.size())
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| 		{
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| 			//	for (int i=0;i<m_storage.size();i++)
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| 			//		m_storage[i]=0;
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| 			//memset(&m_storage[0],0,sizeof(T)*m_storage.size());
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| 			btSetZero(&m_storage[0],m_storage.size());
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| 		}
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| 	}
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| 	const T& operator[] (int index) const
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| 	{
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| 		return m_storage[index];
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| 	}
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| 	
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| 	T& operator[] (int index)
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| 	{
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| 		return m_storage[index];
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| 	}
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| 	
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| 	T* getBufferPointerWritable()
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| 	{
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| 		return m_storage.size() ? &m_storage[0] : 0;
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| 	}
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| 	
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| 	const T* getBufferPointer() const
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| 	{
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| 		return m_storage.size() ? &m_storage[0] : 0;
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| 	}
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| 	
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| };
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| /*
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|  template <typename T>
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|  void setElem(btMatrixX<T>& mat, int row, int col, T val)
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|  {
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|  mat.setElem(row,col,val);
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|  }
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|  */
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| 
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| 
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| template <typename T> 
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| struct btMatrixX
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| {
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| 	int m_rows;
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| 	int m_cols;
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| 	int m_operations;
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| 	int m_resizeOperations;
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| 	int m_setElemOperations;
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| 
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| 	btAlignedObjectArray<T>	m_storage;
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| 	mutable btAlignedObjectArray< btAlignedObjectArray<int> > m_rowNonZeroElements1;
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| 
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| 	T* getBufferPointerWritable() 
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| 	{
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| 		return m_storage.size() ? &m_storage[0] : 0;
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| 	}
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| 
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| 	const T* getBufferPointer() const
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| 	{
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| 		return m_storage.size() ? &m_storage[0] : 0;
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| 	}
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| 	btMatrixX()
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| 		:m_rows(0),
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| 		m_cols(0),
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| 		m_operations(0),
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| 		m_resizeOperations(0),
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| 		m_setElemOperations(0)
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| 	{
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| 	}
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| 	btMatrixX(int rows,int cols)
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| 		:m_rows(rows),
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| 		m_cols(cols),
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| 		m_operations(0),
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| 		m_resizeOperations(0),
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| 		m_setElemOperations(0)
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| 	{
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| 		resize(rows,cols);
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| 	}
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| 	void resize(int rows, int cols)
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| 	{
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| 		m_resizeOperations++;
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| 		m_rows = rows;
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| 		m_cols = cols;
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| 		{
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| 			BT_PROFILE("m_storage.resize");
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| 			m_storage.resize(rows*cols);
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| 		}
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| 	}
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| 	int cols() const
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| 	{
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| 		return m_cols;
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| 	}
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| 	int rows() const
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| 	{
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| 		return m_rows;
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| 	}
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| 	///we don't want this read/write operator(), because we cannot keep track of non-zero elements, use setElem instead
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| 	/*T& operator() (int row,int col)
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| 	{
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| 		return m_storage[col*m_rows+row];
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| 	}
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| 	*/
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| 
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| 	void addElem(int row,int col, T val)
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| 	{
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| 		if (val)
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| 		{
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| 			if (m_storage[col+row*m_cols]==0.f)
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| 			{
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| 				setElem(row,col,val);
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| 			} else
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| 			{
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| 				m_storage[row*m_cols+col] += val;
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| 			}
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| 		}
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| 	}
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| 	
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| 	
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| 	void setElem(int row,int col, T val)
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| 	{
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| 		m_setElemOperations++;
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| 		m_storage[row*m_cols+col] = val;
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| 	}
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| 	
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| 	void mulElem(int row,int col, T val)
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| 	{
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| 		m_setElemOperations++;
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| 		//mul doesn't change sparsity info
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| 
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| 		m_storage[row*m_cols+col] *= val;
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| 	}
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| 	
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| 	
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| 	
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| 	
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| 	void copyLowerToUpperTriangle()
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| 	{
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| 		int count=0;
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| 		for (int row=0;row<rows();row++)
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| 		{
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| 			for (int col=0;col<row;col++)
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| 			{
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| 				setElem(col,row, (*this)(row,col));
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| 				count++;
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| 				
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| 			}
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| 		}
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| 		//printf("copyLowerToUpperTriangle copied %d elements out of %dx%d=%d\n", count,rows(),cols(),cols()*rows());
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| 	}
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| 	
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| 	const T& operator() (int row,int col) const
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| 	{
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| 		return m_storage[col+row*m_cols];
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| 	}
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| 
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| 
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| 	void setZero()
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| 	{
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| 		{
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| 			BT_PROFILE("storage=0");
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| 			btSetZero(&m_storage[0],m_storage.size());
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| 			//memset(&m_storage[0],0,sizeof(T)*m_storage.size());
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| 			//for (int i=0;i<m_storage.size();i++)
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| 	//			m_storage[i]=0;
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| 		}
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| 	}
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| 	
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| 	void setIdentity()
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| 	{
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| 		btAssert(rows() == cols());
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| 		
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| 		setZero();
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| 		for (int row=0;row<rows();row++)
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| 		{
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| 			setElem(row,row,1);
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| 		}
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| 	}
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| 
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| 	
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| 
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| 	void	printMatrix(const char* msg)
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| 	{
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| 		printf("%s ---------------------\n",msg);
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| 		for (int i=0;i<rows();i++)
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| 		{
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| 			printf("\n");
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| 			for (int j=0;j<cols();j++)
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| 			{
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| 				printf("%2.1f\t",(*this)(i,j));
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| 			}
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| 		}
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| 		printf("\n---------------------\n");
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| 
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| 	}
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| 
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| 
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| 	void rowComputeNonZeroElements() const
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| 	{
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| 		m_rowNonZeroElements1.resize(rows());
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| 		for (int i=0;i<rows();i++)
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| 		{
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| 			m_rowNonZeroElements1[i].resize(0);
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| 			for (int j=0;j<cols();j++)
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| 			{
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| 				if ((*this)(i,j)!=0.f)
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| 				{
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| 					m_rowNonZeroElements1[i].push_back(j);
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| 				}
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| 			}
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| 		}
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| 	}
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| 	btMatrixX transpose() const
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| 	{
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| 		//transpose is optimized for sparse matrices
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| 		btMatrixX tr(m_cols,m_rows);
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| 		tr.setZero();
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| 		for (int i=0;i<m_cols;i++)
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| 			for (int j=0;j<m_rows;j++)
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| 			{
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| 				T v = (*this)(j,i);
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| 				if (v)
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| 				{
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| 					tr.setElem(i,j,v);
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| 				}
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| 			}
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| 		return tr;
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| 	}
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| 
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| 
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| 	btMatrixX operator*(const btMatrixX& other)
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| 	{
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| 		//btMatrixX*btMatrixX implementation, brute force
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| 		btAssert(cols() == other.rows());
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| 
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| 		btMatrixX res(rows(),other.cols());
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| 		res.setZero();
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| //		BT_PROFILE("btMatrixX mul");
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| 		for (int j=0; j < res.cols(); ++j)
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| 		{
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| 			{
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| 				for (int i=0; i < res.rows(); ++i)
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| 				{
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| 					T dotProd=0;
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| //					T dotProd2=0;
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| 					//int waste=0,waste2=0;
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| 
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| 					{
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| //						bool useOtherCol = true;
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| 						{
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| 							for (int v=0;v<rows();v++)
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| 							{
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| 								T w = (*this)(i,v);
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| 								if (other(v,j)!=0.f)
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| 								{
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| 									dotProd+=w*other(v,j);	
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| 								}
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| 						
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| 							}
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| 						}
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| 					}
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| 					if (dotProd)
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| 						res.setElem(i,j,dotProd);
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| 				}
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| 			}
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| 		}
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| 		return res;
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| 	}
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| 
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| 	// this assumes the 4th and 8th rows of B and C are zero.
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| 	void multiplyAdd2_p8r (const btScalar *B, const btScalar *C,  int numRows,  int numRowsOther ,int row, int col)
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| 	{
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| 		const btScalar *bb = B;
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| 		for ( int i = 0;i<numRows;i++)
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| 		{
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| 			const btScalar *cc = C;
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| 			for ( int j = 0;j<numRowsOther;j++)
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| 			{
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| 				btScalar sum;
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| 				sum  = bb[0]*cc[0];
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| 				sum += bb[1]*cc[1];
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| 				sum += bb[2]*cc[2];
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| 				sum += bb[4]*cc[4];
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| 				sum += bb[5]*cc[5];
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| 				sum += bb[6]*cc[6];
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| 				addElem(row+i,col+j,sum);
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| 				cc += 8;
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| 			}
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| 			bb += 8;
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| 		}
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| 	}
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| 
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| 	void multiply2_p8r (const btScalar *B, const btScalar *C,  int numRows,  int numRowsOther, int row, int col)
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| 	{
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| 		btAssert (numRows>0 && numRowsOther>0 && B && C);
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| 		const btScalar *bb = B;
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| 		for ( int i = 0;i<numRows;i++)
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| 		{
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| 			const btScalar *cc = C;
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| 			for ( int j = 0;j<numRowsOther;j++)
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| 			{
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| 				btScalar sum;
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| 				sum  = bb[0]*cc[0];
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| 				sum += bb[1]*cc[1];
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| 				sum += bb[2]*cc[2];
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| 				sum += bb[4]*cc[4];
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| 				sum += bb[5]*cc[5];
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| 				sum += bb[6]*cc[6];
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| 				setElem(row+i,col+j,sum);
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| 				cc += 8;
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| 			}
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| 			bb += 8;
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| 		}
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| 	}
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| 	
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| 	void setSubMatrix(int rowstart,int colstart,int rowend,int colend,const T value)
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| 	{
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| 		int numRows = rowend+1-rowstart;
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| 		int numCols = colend+1-colstart;
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| 		
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| 		for (int row=0;row<numRows;row++)
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| 		{
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| 			for (int col=0;col<numCols;col++)
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| 			{
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| 				setElem(rowstart+row,colstart+col,value);
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| 			}
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| 		}
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| 	}
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| 	
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| 	void setSubMatrix(int rowstart,int colstart,int rowend,int colend,const btMatrixX& block)
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| 	{
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| 		btAssert(rowend+1-rowstart == block.rows());
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| 		btAssert(colend+1-colstart == block.cols());
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| 		for (int row=0;row<block.rows();row++)
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| 		{
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| 			for (int col=0;col<block.cols();col++)
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| 			{
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| 				setElem(rowstart+row,colstart+col,block(row,col));
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| 			}
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| 		}
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| 	}
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| 	void setSubMatrix(int rowstart,int colstart,int rowend,int colend,const btVectorX<T>& block)
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| 	{
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| 		btAssert(rowend+1-rowstart == block.rows());
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| 		btAssert(colend+1-colstart == block.cols());
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| 		for (int row=0;row<block.rows();row++)
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| 		{
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| 			for (int col=0;col<block.cols();col++)
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| 			{
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| 				setElem(rowstart+row,colstart+col,block[row]);
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| 			}
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| 		}
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| 	}
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| 	
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| 	
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| 	btMatrixX negative()
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| 	{
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| 		btMatrixX neg(rows(),cols());
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| 		for (int i=0;i<rows();i++)
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| 			for (int j=0;j<cols();j++)
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| 			{
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| 				T v = (*this)(i,j);
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| 				neg.setElem(i,j,-v);
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| 			}
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| 		return neg;
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| 	}
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| 
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| };
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| 
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| 
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| 
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| typedef btMatrixX<float> btMatrixXf;
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| typedef btVectorX<float> btVectorXf;
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| 
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| typedef btMatrixX<double> btMatrixXd;
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| typedef btVectorX<double> btVectorXd;
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| 
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| 
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| #ifdef BT_DEBUG_OSTREAM
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| template <typename T> 
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| std::ostream& operator<< (std::ostream& os, const btMatrixX<T>& mat)
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| 	{
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| 		
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| 		os << " [";
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| 		//printf("%s ---------------------\n",msg);
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| 		for (int i=0;i<mat.rows();i++)
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| 		{
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| 			for (int j=0;j<mat.cols();j++)
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| 			{
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| 				os << std::setw(12) << mat(i,j);
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| 			}
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| 			if (i!=mat.rows()-1)
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| 				os << std::endl << "  ";
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| 		}
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| 		os << " ]";
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| 		//printf("\n---------------------\n");
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| 
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| 		return os;
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| 	}
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| template <typename T> 
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| std::ostream& operator<< (std::ostream& os, const btVectorX<T>& mat)
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| 	{
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| 		
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| 		os << " [";
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| 		//printf("%s ---------------------\n",msg);
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| 		for (int i=0;i<mat.rows();i++)
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| 		{
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| 				os << std::setw(12) << mat[i];
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| 			if (i!=mat.rows()-1)
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| 				os << std::endl << "  ";
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| 		}
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| 		os << " ]";
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| 		//printf("\n---------------------\n");
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| 
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| 		return os;
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| 	}
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| 
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| #endif //BT_DEBUG_OSTREAM
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| 
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| 
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| inline void setElem(btMatrixXd& mat, int row, int col, double val)
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| {
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| 	mat.setElem(row,col,val);
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| }
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| 
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| inline void setElem(btMatrixXf& mat, int row, int col, float val)
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| {
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| 	mat.setElem(row,col,val);
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| }
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| 
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| #ifdef BT_USE_DOUBLE_PRECISION
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| 	#define btVectorXu btVectorXd
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| 	#define btMatrixXu btMatrixXd
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| #else
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| 	#define btVectorXu btVectorXf
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| 	#define btMatrixXu btMatrixXf
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| #endif //BT_USE_DOUBLE_PRECISION
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| 
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| 
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| 
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| #endif//BT_MATRIX_H_H
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