811 lines
		
	
	
		
			24 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
			
		
		
	
	
			811 lines
		
	
	
		
			24 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
/*
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Copyright (c) 2003-2009 Erwin Coumans  http://bullet.googlecode.com
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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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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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#ifndef BT_SCALAR_H
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#define BT_SCALAR_H
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#ifdef BT_MANAGED_CODE
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//Aligned data types not supported in managed code
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#pragma unmanaged
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#endif
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#include <math.h>
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#include <stdlib.h>  //size_t for MSVC 6.0
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#include <float.h>
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/* SVN $Revision$ on $Date$ from http://bullet.googlecode.com*/
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#define BT_BULLET_VERSION 287
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inline int btGetVersion()
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{
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	return BT_BULLET_VERSION;
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}
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// The following macro "BT_NOT_EMPTY_FILE" can be put into a file
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// in order suppress the MS Visual C++ Linker warning 4221
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//
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// warning LNK4221: no public symbols found; archive member will be inaccessible
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//
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// This warning occurs on PC and XBOX when a file compiles out completely
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// has no externally visible symbols which may be dependant on configuration
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// #defines and options.
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//
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// see more https://stackoverflow.com/questions/1822887/what-is-the-best-way-to-eliminate-ms-visual-c-linker-warning-warning-lnk422
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#if defined (_MSC_VER)
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	#define BT_NOT_EMPTY_FILE_CAT_II(p, res) res
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	#define BT_NOT_EMPTY_FILE_CAT_I(a, b) BT_NOT_EMPTY_FILE_CAT_II(~, a ## b)
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	#define BT_NOT_EMPTY_FILE_CAT(a, b) BT_NOT_EMPTY_FILE_CAT_I(a, b)
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	#define BT_NOT_EMPTY_FILE namespace { char BT_NOT_EMPTY_FILE_CAT(NoEmptyFileDummy, __COUNTER__); }
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#else
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	#define BT_NOT_EMPTY_FILE 
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#endif
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// clang and most formatting tools don't support indentation of preprocessor guards, so turn it off
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// clang-format off
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#if defined(DEBUG) || defined (_DEBUG)
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	#define BT_DEBUG
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#endif
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#ifdef _WIN32
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	#if defined(__MINGW32__) || defined(__CYGWIN__) || (defined (_MSC_VER) && _MSC_VER < 1300)
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		#define SIMD_FORCE_INLINE inline
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		#define ATTRIBUTE_ALIGNED16(a) a
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		#define ATTRIBUTE_ALIGNED64(a) a
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		#define ATTRIBUTE_ALIGNED128(a) a
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	#elif defined(_M_ARM)
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		#define SIMD_FORCE_INLINE __forceinline
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		#define ATTRIBUTE_ALIGNED16(a) __declspec() a
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		#define ATTRIBUTE_ALIGNED64(a) __declspec() a
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		#define ATTRIBUTE_ALIGNED128(a) __declspec () a
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	#else//__MINGW32__
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		//#define BT_HAS_ALIGNED_ALLOCATOR
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		#pragma warning(disable : 4324) // disable padding warning
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//			#pragma warning(disable:4530) // Disable the exception disable but used in MSCV Stl warning.
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		#pragma warning(disable:4996) //Turn off warnings about deprecated C routines
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//			#pragma warning(disable:4786) // Disable the "debug name too long" warning
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		#define SIMD_FORCE_INLINE __forceinline
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		#define ATTRIBUTE_ALIGNED16(a) __declspec(align(16)) a
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		#define ATTRIBUTE_ALIGNED64(a) __declspec(align(64)) a
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		#define ATTRIBUTE_ALIGNED128(a) __declspec (align(128)) a
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		#ifdef _XBOX
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			#define BT_USE_VMX128
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			#include <ppcintrinsics.h>
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 			#define BT_HAVE_NATIVE_FSEL
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 			#define btFsel(a,b,c) __fsel((a),(b),(c))
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		#else
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#if defined (_M_ARM)
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            //Do not turn SSE on for ARM (may want to turn on BT_USE_NEON however)
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#elif (defined (_WIN32) && (_MSC_VER) && _MSC_VER >= 1400) && (!defined (BT_USE_DOUBLE_PRECISION))
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			#if _MSC_VER>1400
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				#define BT_USE_SIMD_VECTOR3
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			#endif
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			#define BT_USE_SSE
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			#ifdef BT_USE_SSE
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#if (_MSC_FULL_VER >= 170050727)//Visual Studio 2012 can compile SSE4/FMA3 (but SSE4/FMA3 is not enabled by default)
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			#define BT_ALLOW_SSE4
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#endif //(_MSC_FULL_VER >= 160040219)
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			//BT_USE_SSE_IN_API is disabled under Windows by default, because 
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			//it makes it harder to integrate Bullet into your application under Windows 
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			//(structured embedding Bullet structs/classes need to be 16-byte aligned)
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			//with relatively little performance gain
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			//If you are not embedded Bullet data in your classes, or make sure that you align those classes on 16-byte boundaries
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			//you can manually enable this line or set it in the build system for a bit of performance gain (a few percent, dependent on usage)
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			//#define BT_USE_SSE_IN_API
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			#endif //BT_USE_SSE
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			#include <emmintrin.h>
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#endif
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		#endif//_XBOX
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	#endif //__MINGW32__
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	#ifdef BT_DEBUG
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		#ifdef _MSC_VER
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			#include <stdio.h>
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			#define btAssert(x) { if(!(x)){printf("Assert "__FILE__ ":%u (%s)\n", __LINE__, #x);__debugbreak();	}}
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		#else//_MSC_VER
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			#include <assert.h>
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			#define btAssert assert
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		#endif//_MSC_VER
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	#else
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		#define btAssert(x)
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	#endif
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		//btFullAssert is optional, slows down a lot
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		#define btFullAssert(x)
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		#define btLikely(_c)  _c
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		#define btUnlikely(_c) _c
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#else//_WIN32
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	#if defined	(__CELLOS_LV2__)
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		#define SIMD_FORCE_INLINE inline __attribute__((always_inline))
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		#define ATTRIBUTE_ALIGNED16(a) a __attribute__ ((aligned (16)))
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		#define ATTRIBUTE_ALIGNED64(a) a __attribute__ ((aligned (64)))
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		#define ATTRIBUTE_ALIGNED128(a) a __attribute__ ((aligned (128)))
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		#ifndef assert
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		#include <assert.h>
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		#endif
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		#ifdef BT_DEBUG
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			#ifdef __SPU__
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				#include <spu_printf.h>
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				#define printf spu_printf
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				#define btAssert(x) {if(!(x)){printf("Assert "__FILE__ ":%u ("#x")\n", __LINE__);spu_hcmpeq(0,0);}}
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			#else
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				#define btAssert assert
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			#endif
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		#else//BT_DEBUG
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				#define btAssert(x)
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		#endif//BT_DEBUG
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		//btFullAssert is optional, slows down a lot
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		#define btFullAssert(x)
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		#define btLikely(_c)  _c
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		#define btUnlikely(_c) _c
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	#else//defined	(__CELLOS_LV2__)
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		#ifdef USE_LIBSPE2
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			#define SIMD_FORCE_INLINE __inline
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			#define ATTRIBUTE_ALIGNED16(a) a __attribute__ ((aligned (16)))
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			#define ATTRIBUTE_ALIGNED64(a) a __attribute__ ((aligned (64)))
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			#define ATTRIBUTE_ALIGNED128(a) a __attribute__ ((aligned (128)))
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			#ifndef assert
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			#include <assert.h>
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			#endif
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	#ifdef BT_DEBUG
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			#define btAssert assert
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	#else
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			#define btAssert(x)
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	#endif
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			//btFullAssert is optional, slows down a lot
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			#define btFullAssert(x)
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			#define btLikely(_c)   __builtin_expect((_c), 1)
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			#define btUnlikely(_c) __builtin_expect((_c), 0)
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		#else//USE_LIBSPE2
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	//non-windows systems
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			#if (defined (__APPLE__) && (!defined (BT_USE_DOUBLE_PRECISION)))
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				#if defined (__i386__) || defined (__x86_64__)
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					#define BT_USE_SIMD_VECTOR3
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					#define BT_USE_SSE
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					//BT_USE_SSE_IN_API is enabled on Mac OSX by default, because memory is automatically aligned on 16-byte boundaries
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					//if apps run into issues, we will disable the next line
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					#define BT_USE_SSE_IN_API
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					#ifdef BT_USE_SSE
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						// include appropriate SSE level
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						#if defined (__SSE4_1__)
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							#include <smmintrin.h>
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						#elif defined (__SSSE3__)
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							#include <tmmintrin.h>
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						#elif defined (__SSE3__)
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							#include <pmmintrin.h>
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						#else
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							#include <emmintrin.h>
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						#endif
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					#endif //BT_USE_SSE
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				#elif defined( __ARM_NEON__ )
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					#ifdef __clang__
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						#define BT_USE_NEON 1
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						#define BT_USE_SIMD_VECTOR3
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						#if defined BT_USE_NEON && defined (__clang__)
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							#include <arm_neon.h>
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						#endif//BT_USE_NEON
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				   #endif //__clang__
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				#endif//__arm__
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				#define SIMD_FORCE_INLINE inline __attribute__ ((always_inline))
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			///@todo: check out alignment methods for other platforms/compilers
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				#define ATTRIBUTE_ALIGNED16(a) a __attribute__ ((aligned (16)))
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				#define ATTRIBUTE_ALIGNED64(a) a __attribute__ ((aligned (64)))
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				#define ATTRIBUTE_ALIGNED128(a) a __attribute__ ((aligned (128)))
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				#ifndef assert
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				#include <assert.h>
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				#endif
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				#if defined(DEBUG) || defined (_DEBUG)
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				 #if defined (__i386__) || defined (__x86_64__)
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				#include <stdio.h>
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				 #define btAssert(x)\
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				{\
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				if(!(x))\
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				{\
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					printf("Assert %s in line %d, file %s\n",#x, __LINE__, __FILE__);\
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					asm volatile ("int3");\
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				}\
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				}
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				#else//defined (__i386__) || defined (__x86_64__)
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					#define btAssert assert
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				#endif//defined (__i386__) || defined (__x86_64__)
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				#else//defined(DEBUG) || defined (_DEBUG)
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					#define btAssert(x)
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				#endif//defined(DEBUG) || defined (_DEBUG)
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				//btFullAssert is optional, slows down a lot
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				#define btFullAssert(x)
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				#define btLikely(_c)  _c
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				#define btUnlikely(_c) _c
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			#else//__APPLE__
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				#define SIMD_FORCE_INLINE inline
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				///@todo: check out alignment methods for other platforms/compilers
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				///#define ATTRIBUTE_ALIGNED16(a) a __attribute__ ((aligned (16)))
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				///#define ATTRIBUTE_ALIGNED64(a) a __attribute__ ((aligned (64)))
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				///#define ATTRIBUTE_ALIGNED128(a) a __attribute__ ((aligned (128)))
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				#define ATTRIBUTE_ALIGNED16(a) a
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				#define ATTRIBUTE_ALIGNED64(a) a
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				#define ATTRIBUTE_ALIGNED128(a) a
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						|
				#ifndef assert
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				#include <assert.h>
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				#endif
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				#if defined(DEBUG) || defined (_DEBUG)
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					#define btAssert assert
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						|
				#else
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					#define btAssert(x)
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				#endif
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				//btFullAssert is optional, slows down a lot
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				#define btFullAssert(x)
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				#define btLikely(_c)  _c
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				#define btUnlikely(_c) _c
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			#endif //__APPLE__ 
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		#endif // LIBSPE2
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	#endif	//__CELLOS_LV2__
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#endif//_WIN32
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///The btScalar type abstracts floating point numbers, to easily switch between double and single floating point precision.
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#if defined(BT_USE_DOUBLE_PRECISION)
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	typedef double btScalar;
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	//this number could be bigger in double precision
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	#define BT_LARGE_FLOAT 1e30
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#else
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	typedef float btScalar;
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	//keep BT_LARGE_FLOAT*BT_LARGE_FLOAT < FLT_MAX
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	#define BT_LARGE_FLOAT 1e18f
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#endif
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#ifdef BT_USE_SSE
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	typedef __m128 btSimdFloat4;
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#endif  //BT_USE_SSE
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						|
 | 
						|
#if defined(BT_USE_SSE)
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						|
	//#if defined BT_USE_SSE_IN_API && defined (BT_USE_SSE)
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						|
	#ifdef _WIN32
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						|
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		#ifndef BT_NAN
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						|
			static int btNanMask = 0x7F800001;
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						|
			#define BT_NAN (*(float *)&btNanMask)
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						|
		#endif
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						|
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						|
		#ifndef BT_INFINITY
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			static int btInfinityMask = 0x7F800000;
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						|
			#define BT_INFINITY (*(float *)&btInfinityMask)
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						|
			inline int btGetInfinityMask()  //suppress stupid compiler warning
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						|
			{
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						|
				return btInfinityMask;
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						|
			}
 | 
						|
		#endif
 | 
						|
 | 
						|
 | 
						|
 | 
						|
	//use this, in case there are clashes (such as xnamath.h)
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						|
	#ifndef BT_NO_SIMD_OPERATOR_OVERLOADS
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						|
	inline __m128 operator+(const __m128 A, const __m128 B)
 | 
						|
	{
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						|
		return _mm_add_ps(A, B);
 | 
						|
	}
 | 
						|
 | 
						|
	inline __m128 operator-(const __m128 A, const __m128 B)
 | 
						|
	{
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						|
		return _mm_sub_ps(A, B);
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						|
	}
 | 
						|
 | 
						|
	inline __m128 operator*(const __m128 A, const __m128 B)
 | 
						|
	{
 | 
						|
		return _mm_mul_ps(A, B);
 | 
						|
	}
 | 
						|
	#endif  //BT_NO_SIMD_OPERATOR_OVERLOADS
 | 
						|
 | 
						|
	#define btCastfTo128i(a) (_mm_castps_si128(a))
 | 
						|
	#define btCastfTo128d(a) (_mm_castps_pd(a))
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						|
	#define btCastiTo128f(a) (_mm_castsi128_ps(a))
 | 
						|
	#define btCastdTo128f(a) (_mm_castpd_ps(a))
 | 
						|
	#define btCastdTo128i(a) (_mm_castpd_si128(a))
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						|
	#define btAssign128(r0, r1, r2, r3) _mm_setr_ps(r0, r1, r2, r3)
 | 
						|
 | 
						|
	#else  //_WIN32
 | 
						|
 | 
						|
		#define btCastfTo128i(a) ((__m128i)(a))
 | 
						|
		#define btCastfTo128d(a) ((__m128d)(a))
 | 
						|
		#define btCastiTo128f(a) ((__m128)(a))
 | 
						|
		#define btCastdTo128f(a) ((__m128)(a))
 | 
						|
		#define btCastdTo128i(a) ((__m128i)(a))
 | 
						|
		#define btAssign128(r0, r1, r2, r3) \
 | 
						|
			(__m128) { r0, r1, r2, r3 }
 | 
						|
		#define BT_INFINITY INFINITY
 | 
						|
		#define BT_NAN NAN
 | 
						|
	#endif  //_WIN32
 | 
						|
#else//BT_USE_SSE
 | 
						|
 | 
						|
	#ifdef BT_USE_NEON
 | 
						|
	#include <arm_neon.h>
 | 
						|
 | 
						|
	typedef float32x4_t btSimdFloat4;
 | 
						|
	#define BT_INFINITY INFINITY
 | 
						|
	#define BT_NAN NAN
 | 
						|
	#define btAssign128(r0, r1, r2, r3) \
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						|
		(float32x4_t) { r0, r1, r2, r3 }
 | 
						|
	#else  //BT_USE_NEON
 | 
						|
 | 
						|
	#ifndef BT_INFINITY
 | 
						|
	struct btInfMaskConverter
 | 
						|
	{
 | 
						|
		union {
 | 
						|
			float mask;
 | 
						|
			int intmask;
 | 
						|
		};
 | 
						|
		btInfMaskConverter(int _mask = 0x7F800000)
 | 
						|
			: intmask(_mask)
 | 
						|
		{
 | 
						|
		}
 | 
						|
	};
 | 
						|
	static btInfMaskConverter btInfinityMask = 0x7F800000;
 | 
						|
	#define BT_INFINITY (btInfinityMask.mask)
 | 
						|
	inline int btGetInfinityMask()  //suppress stupid compiler warning
 | 
						|
	{
 | 
						|
		return btInfinityMask.intmask;
 | 
						|
	}
 | 
						|
	#endif
 | 
						|
	#endif  //BT_USE_NEON
 | 
						|
 | 
						|
#endif  //BT_USE_SSE
 | 
						|
 | 
						|
#ifdef BT_USE_NEON
 | 
						|
	#include <arm_neon.h>
 | 
						|
 | 
						|
	typedef float32x4_t btSimdFloat4;
 | 
						|
	#define BT_INFINITY INFINITY
 | 
						|
	#define BT_NAN NAN
 | 
						|
	#define btAssign128(r0, r1, r2, r3) \
 | 
						|
		(float32x4_t) { r0, r1, r2, r3 }
 | 
						|
#endif//BT_USE_NEON
 | 
						|
 | 
						|
#define BT_DECLARE_ALIGNED_ALLOCATOR()                                                                     \
 | 
						|
	SIMD_FORCE_INLINE void *operator new(size_t sizeInBytes) { return btAlignedAlloc(sizeInBytes, 16); }   \
 | 
						|
	SIMD_FORCE_INLINE void operator delete(void *ptr) { btAlignedFree(ptr); }                              \
 | 
						|
	SIMD_FORCE_INLINE void *operator new(size_t, void *ptr) { return ptr; }                                \
 | 
						|
	SIMD_FORCE_INLINE void operator delete(void *, void *) {}                                              \
 | 
						|
	SIMD_FORCE_INLINE void *operator new[](size_t sizeInBytes) { return btAlignedAlloc(sizeInBytes, 16); } \
 | 
						|
	SIMD_FORCE_INLINE void operator delete[](void *ptr) { btAlignedFree(ptr); }                            \
 | 
						|
	SIMD_FORCE_INLINE void *operator new[](size_t, void *ptr) { return ptr; }                              \
 | 
						|
	SIMD_FORCE_INLINE void operator delete[](void *, void *) {}
 | 
						|
 | 
						|
#if defined(BT_USE_DOUBLE_PRECISION) || defined(BT_FORCE_DOUBLE_FUNCTIONS)
 | 
						|
 | 
						|
	SIMD_FORCE_INLINE btScalar btSqrt(btScalar x)
 | 
						|
	{
 | 
						|
		return sqrt(x);
 | 
						|
	}
 | 
						|
	SIMD_FORCE_INLINE btScalar btFabs(btScalar x) { return fabs(x); }
 | 
						|
	SIMD_FORCE_INLINE btScalar btCos(btScalar x) { return cos(x); }
 | 
						|
	SIMD_FORCE_INLINE btScalar btSin(btScalar x) { return sin(x); }
 | 
						|
	SIMD_FORCE_INLINE btScalar btTan(btScalar x) { return tan(x); }
 | 
						|
	SIMD_FORCE_INLINE btScalar btAcos(btScalar x)
 | 
						|
	{
 | 
						|
		if (x < btScalar(-1)) x = btScalar(-1);
 | 
						|
		if (x > btScalar(1)) x = btScalar(1);
 | 
						|
		return acos(x);
 | 
						|
	}
 | 
						|
	SIMD_FORCE_INLINE btScalar btAsin(btScalar x)
 | 
						|
	{
 | 
						|
		if (x < btScalar(-1)) x = btScalar(-1);
 | 
						|
		if (x > btScalar(1)) x = btScalar(1);
 | 
						|
		return asin(x);
 | 
						|
	}
 | 
						|
	SIMD_FORCE_INLINE btScalar btAtan(btScalar x) { return atan(x); }
 | 
						|
	SIMD_FORCE_INLINE btScalar btAtan2(btScalar x, btScalar y) { return atan2(x, y); }
 | 
						|
	SIMD_FORCE_INLINE btScalar btExp(btScalar x) { return exp(x); }
 | 
						|
	SIMD_FORCE_INLINE btScalar btLog(btScalar x) { return log(x); }
 | 
						|
	SIMD_FORCE_INLINE btScalar btPow(btScalar x, btScalar y) { return pow(x, y); }
 | 
						|
	SIMD_FORCE_INLINE btScalar btFmod(btScalar x, btScalar y) { return fmod(x, y); }
 | 
						|
 | 
						|
#else//BT_USE_DOUBLE_PRECISION
 | 
						|
 | 
						|
	SIMD_FORCE_INLINE btScalar btSqrt(btScalar y)
 | 
						|
	{
 | 
						|
	#ifdef USE_APPROXIMATION
 | 
						|
	#ifdef __LP64__
 | 
						|
		float xhalf = 0.5f * y;
 | 
						|
		int i = *(int *)&y;
 | 
						|
		i = 0x5f375a86 - (i >> 1);
 | 
						|
		y = *(float *)&i;
 | 
						|
		y = y * (1.5f - xhalf * y * y);
 | 
						|
		y = y * (1.5f - xhalf * y * y);
 | 
						|
		y = y * (1.5f - xhalf * y * y);
 | 
						|
		y = 1 / y;
 | 
						|
		return y;
 | 
						|
	#else
 | 
						|
		double x, z, tempf;
 | 
						|
		unsigned long *tfptr = ((unsigned long *)&tempf) + 1;
 | 
						|
		tempf = y;
 | 
						|
		*tfptr = (0xbfcdd90a - *tfptr) >> 1; /* estimate of 1/sqrt(y) */
 | 
						|
		x = tempf;
 | 
						|
		z = y * btScalar(0.5);
 | 
						|
		x = (btScalar(1.5) * x) - (x * x) * (x * z); /* iteration formula     */
 | 
						|
		x = (btScalar(1.5) * x) - (x * x) * (x * z);
 | 
						|
		x = (btScalar(1.5) * x) - (x * x) * (x * z);
 | 
						|
		x = (btScalar(1.5) * x) - (x * x) * (x * z);
 | 
						|
		x = (btScalar(1.5) * x) - (x * x) * (x * z);
 | 
						|
		return x * y;
 | 
						|
	#endif
 | 
						|
	#else
 | 
						|
		return sqrtf(y);
 | 
						|
	#endif
 | 
						|
	}
 | 
						|
	SIMD_FORCE_INLINE btScalar btFabs(btScalar x) { return fabsf(x); }
 | 
						|
	SIMD_FORCE_INLINE btScalar btCos(btScalar x) { return cosf(x); }
 | 
						|
	SIMD_FORCE_INLINE btScalar btSin(btScalar x) { return sinf(x); }
 | 
						|
	SIMD_FORCE_INLINE btScalar btTan(btScalar x) { return tanf(x); }
 | 
						|
	SIMD_FORCE_INLINE btScalar btAcos(btScalar x)
 | 
						|
	{
 | 
						|
		if (x < btScalar(-1))
 | 
						|
			x = btScalar(-1);
 | 
						|
		if (x > btScalar(1))
 | 
						|
			x = btScalar(1);
 | 
						|
		return acosf(x);
 | 
						|
	}
 | 
						|
	SIMD_FORCE_INLINE btScalar btAsin(btScalar x)
 | 
						|
	{
 | 
						|
		if (x < btScalar(-1))
 | 
						|
			x = btScalar(-1);
 | 
						|
		if (x > btScalar(1))
 | 
						|
			x = btScalar(1);
 | 
						|
		return asinf(x);
 | 
						|
	}
 | 
						|
	SIMD_FORCE_INLINE btScalar btAtan(btScalar x) { return atanf(x); }
 | 
						|
	SIMD_FORCE_INLINE btScalar btAtan2(btScalar x, btScalar y) { return atan2f(x, y); }
 | 
						|
	SIMD_FORCE_INLINE btScalar btExp(btScalar x) { return expf(x); }
 | 
						|
	SIMD_FORCE_INLINE btScalar btLog(btScalar x) { return logf(x); }
 | 
						|
	SIMD_FORCE_INLINE btScalar btPow(btScalar x, btScalar y) { return powf(x, y); }
 | 
						|
	SIMD_FORCE_INLINE btScalar btFmod(btScalar x, btScalar y) { return fmodf(x, y); }
 | 
						|
 | 
						|
#endif//BT_USE_DOUBLE_PRECISION
 | 
						|
 | 
						|
#define SIMD_PI btScalar(3.1415926535897932384626433832795029)
 | 
						|
#define SIMD_2_PI (btScalar(2.0) * SIMD_PI)
 | 
						|
#define SIMD_HALF_PI (SIMD_PI * btScalar(0.5))
 | 
						|
#define SIMD_RADS_PER_DEG (SIMD_2_PI / btScalar(360.0))
 | 
						|
#define SIMD_DEGS_PER_RAD (btScalar(360.0) / SIMD_2_PI)
 | 
						|
#define SIMDSQRT12 btScalar(0.7071067811865475244008443621048490)
 | 
						|
#define btRecipSqrt(x) ((btScalar)(btScalar(1.0) / btSqrt(btScalar(x)))) /* reciprocal square root */
 | 
						|
#define btRecip(x) (btScalar(1.0) / btScalar(x))
 | 
						|
 | 
						|
#ifdef BT_USE_DOUBLE_PRECISION
 | 
						|
	#define SIMD_EPSILON DBL_EPSILON
 | 
						|
	#define SIMD_INFINITY DBL_MAX
 | 
						|
	#define BT_ONE 1.0
 | 
						|
	#define BT_ZERO 0.0
 | 
						|
	#define BT_TWO 2.0
 | 
						|
	#define BT_HALF 0.5
 | 
						|
#else
 | 
						|
	#define SIMD_EPSILON FLT_EPSILON
 | 
						|
	#define SIMD_INFINITY FLT_MAX
 | 
						|
	#define BT_ONE 1.0f
 | 
						|
	#define BT_ZERO 0.0f
 | 
						|
	#define BT_TWO 2.0f
 | 
						|
	#define BT_HALF 0.5f
 | 
						|
#endif
 | 
						|
 | 
						|
// clang-format on
 | 
						|
 | 
						|
SIMD_FORCE_INLINE btScalar btAtan2Fast(btScalar y, btScalar x)
 | 
						|
{
 | 
						|
	btScalar coeff_1 = SIMD_PI / 4.0f;
 | 
						|
	btScalar coeff_2 = 3.0f * coeff_1;
 | 
						|
	btScalar abs_y = btFabs(y);
 | 
						|
	btScalar angle;
 | 
						|
	if (x >= 0.0f)
 | 
						|
	{
 | 
						|
		btScalar r = (x - abs_y) / (x + abs_y);
 | 
						|
		angle = coeff_1 - coeff_1 * r;
 | 
						|
	}
 | 
						|
	else
 | 
						|
	{
 | 
						|
		btScalar r = (x + abs_y) / (abs_y - x);
 | 
						|
		angle = coeff_2 - coeff_1 * r;
 | 
						|
	}
 | 
						|
	return (y < 0.0f) ? -angle : angle;
 | 
						|
}
 | 
						|
 | 
						|
SIMD_FORCE_INLINE bool btFuzzyZero(btScalar x) { return btFabs(x) < SIMD_EPSILON; }
 | 
						|
 | 
						|
SIMD_FORCE_INLINE bool btEqual(btScalar a, btScalar eps)
 | 
						|
{
 | 
						|
	return (((a) <= eps) && !((a) < -eps));
 | 
						|
}
 | 
						|
SIMD_FORCE_INLINE bool btGreaterEqual(btScalar a, btScalar eps)
 | 
						|
{
 | 
						|
	return (!((a) <= eps));
 | 
						|
}
 | 
						|
 | 
						|
SIMD_FORCE_INLINE int btIsNegative(btScalar x)
 | 
						|
{
 | 
						|
	return x < btScalar(0.0) ? 1 : 0;
 | 
						|
}
 | 
						|
 | 
						|
SIMD_FORCE_INLINE btScalar btRadians(btScalar x) { return x * SIMD_RADS_PER_DEG; }
 | 
						|
SIMD_FORCE_INLINE btScalar btDegrees(btScalar x) { return x * SIMD_DEGS_PER_RAD; }
 | 
						|
 | 
						|
#define BT_DECLARE_HANDLE(name) \
 | 
						|
	typedef struct name##__     \
 | 
						|
	{                           \
 | 
						|
		int unused;             \
 | 
						|
	} * name
 | 
						|
 | 
						|
#ifndef btFsel
 | 
						|
SIMD_FORCE_INLINE btScalar btFsel(btScalar a, btScalar b, btScalar c)
 | 
						|
{
 | 
						|
	return a >= 0 ? b : c;
 | 
						|
}
 | 
						|
#endif
 | 
						|
#define btFsels(a, b, c) (btScalar) btFsel(a, b, c)
 | 
						|
 | 
						|
SIMD_FORCE_INLINE bool btMachineIsLittleEndian()
 | 
						|
{
 | 
						|
	long int i = 1;
 | 
						|
	const char *p = (const char *)&i;
 | 
						|
	if (p[0] == 1)  // Lowest address contains the least significant byte
 | 
						|
		return true;
 | 
						|
	else
 | 
						|
		return false;
 | 
						|
}
 | 
						|
 | 
						|
///btSelect avoids branches, which makes performance much better for consoles like Playstation 3 and XBox 360
 | 
						|
///Thanks Phil Knight. See also http://www.cellperformance.com/articles/2006/04/more_techniques_for_eliminatin_1.html
 | 
						|
SIMD_FORCE_INLINE unsigned btSelect(unsigned condition, unsigned valueIfConditionNonZero, unsigned valueIfConditionZero)
 | 
						|
{
 | 
						|
	// Set testNz to 0xFFFFFFFF if condition is nonzero, 0x00000000 if condition is zero
 | 
						|
	// Rely on positive value or'ed with its negative having sign bit on
 | 
						|
	// and zero value or'ed with its negative (which is still zero) having sign bit off
 | 
						|
	// Use arithmetic shift right, shifting the sign bit through all 32 bits
 | 
						|
	unsigned testNz = (unsigned)(((int)condition | -(int)condition) >> 31);
 | 
						|
	unsigned testEqz = ~testNz;
 | 
						|
	return ((valueIfConditionNonZero & testNz) | (valueIfConditionZero & testEqz));
 | 
						|
}
 | 
						|
SIMD_FORCE_INLINE int btSelect(unsigned condition, int valueIfConditionNonZero, int valueIfConditionZero)
 | 
						|
{
 | 
						|
	unsigned testNz = (unsigned)(((int)condition | -(int)condition) >> 31);
 | 
						|
	unsigned testEqz = ~testNz;
 | 
						|
	return static_cast<int>((valueIfConditionNonZero & testNz) | (valueIfConditionZero & testEqz));
 | 
						|
}
 | 
						|
SIMD_FORCE_INLINE float btSelect(unsigned condition, float valueIfConditionNonZero, float valueIfConditionZero)
 | 
						|
{
 | 
						|
#ifdef BT_HAVE_NATIVE_FSEL
 | 
						|
	return (float)btFsel((btScalar)condition - btScalar(1.0f), valueIfConditionNonZero, valueIfConditionZero);
 | 
						|
#else
 | 
						|
	return (condition != 0) ? valueIfConditionNonZero : valueIfConditionZero;
 | 
						|
#endif
 | 
						|
}
 | 
						|
 | 
						|
template <typename T>
 | 
						|
SIMD_FORCE_INLINE void btSwap(T &a, T &b)
 | 
						|
{
 | 
						|
	T tmp = a;
 | 
						|
	a = b;
 | 
						|
	b = tmp;
 | 
						|
}
 | 
						|
 | 
						|
//PCK: endian swapping functions
 | 
						|
SIMD_FORCE_INLINE unsigned btSwapEndian(unsigned val)
 | 
						|
{
 | 
						|
	return (((val & 0xff000000) >> 24) | ((val & 0x00ff0000) >> 8) | ((val & 0x0000ff00) << 8) | ((val & 0x000000ff) << 24));
 | 
						|
}
 | 
						|
 | 
						|
SIMD_FORCE_INLINE unsigned short btSwapEndian(unsigned short val)
 | 
						|
{
 | 
						|
	return static_cast<unsigned short>(((val & 0xff00) >> 8) | ((val & 0x00ff) << 8));
 | 
						|
}
 | 
						|
 | 
						|
SIMD_FORCE_INLINE unsigned btSwapEndian(int val)
 | 
						|
{
 | 
						|
	return btSwapEndian((unsigned)val);
 | 
						|
}
 | 
						|
 | 
						|
SIMD_FORCE_INLINE unsigned short btSwapEndian(short val)
 | 
						|
{
 | 
						|
	return btSwapEndian((unsigned short)val);
 | 
						|
}
 | 
						|
 | 
						|
///btSwapFloat uses using char pointers to swap the endianness
 | 
						|
////btSwapFloat/btSwapDouble will NOT return a float, because the machine might 'correct' invalid floating point values
 | 
						|
///Not all values of sign/exponent/mantissa are valid floating point numbers according to IEEE 754.
 | 
						|
///When a floating point unit is faced with an invalid value, it may actually change the value, or worse, throw an exception.
 | 
						|
///In most systems, running user mode code, you wouldn't get an exception, but instead the hardware/os/runtime will 'fix' the number for you.
 | 
						|
///so instead of returning a float/double, we return integer/long long integer
 | 
						|
SIMD_FORCE_INLINE unsigned int btSwapEndianFloat(float d)
 | 
						|
{
 | 
						|
	unsigned int a = 0;
 | 
						|
	unsigned char *dst = (unsigned char *)&a;
 | 
						|
	unsigned char *src = (unsigned char *)&d;
 | 
						|
 | 
						|
	dst[0] = src[3];
 | 
						|
	dst[1] = src[2];
 | 
						|
	dst[2] = src[1];
 | 
						|
	dst[3] = src[0];
 | 
						|
	return a;
 | 
						|
}
 | 
						|
 | 
						|
// unswap using char pointers
 | 
						|
SIMD_FORCE_INLINE float btUnswapEndianFloat(unsigned int a)
 | 
						|
{
 | 
						|
	float d = 0.0f;
 | 
						|
	unsigned char *src = (unsigned char *)&a;
 | 
						|
	unsigned char *dst = (unsigned char *)&d;
 | 
						|
 | 
						|
	dst[0] = src[3];
 | 
						|
	dst[1] = src[2];
 | 
						|
	dst[2] = src[1];
 | 
						|
	dst[3] = src[0];
 | 
						|
 | 
						|
	return d;
 | 
						|
}
 | 
						|
 | 
						|
// swap using char pointers
 | 
						|
SIMD_FORCE_INLINE void btSwapEndianDouble(double d, unsigned char *dst)
 | 
						|
{
 | 
						|
	unsigned char *src = (unsigned char *)&d;
 | 
						|
 | 
						|
	dst[0] = src[7];
 | 
						|
	dst[1] = src[6];
 | 
						|
	dst[2] = src[5];
 | 
						|
	dst[3] = src[4];
 | 
						|
	dst[4] = src[3];
 | 
						|
	dst[5] = src[2];
 | 
						|
	dst[6] = src[1];
 | 
						|
	dst[7] = src[0];
 | 
						|
}
 | 
						|
 | 
						|
// unswap using char pointers
 | 
						|
SIMD_FORCE_INLINE double btUnswapEndianDouble(const unsigned char *src)
 | 
						|
{
 | 
						|
	double d = 0.0;
 | 
						|
	unsigned char *dst = (unsigned char *)&d;
 | 
						|
 | 
						|
	dst[0] = src[7];
 | 
						|
	dst[1] = src[6];
 | 
						|
	dst[2] = src[5];
 | 
						|
	dst[3] = src[4];
 | 
						|
	dst[4] = src[3];
 | 
						|
	dst[5] = src[2];
 | 
						|
	dst[6] = src[1];
 | 
						|
	dst[7] = src[0];
 | 
						|
 | 
						|
	return d;
 | 
						|
}
 | 
						|
 | 
						|
template <typename T>
 | 
						|
SIMD_FORCE_INLINE void btSetZero(T *a, int n)
 | 
						|
{
 | 
						|
	T *acurr = a;
 | 
						|
	size_t ncurr = n;
 | 
						|
	while (ncurr > 0)
 | 
						|
	{
 | 
						|
		*(acurr++) = 0;
 | 
						|
		--ncurr;
 | 
						|
	}
 | 
						|
}
 | 
						|
 | 
						|
SIMD_FORCE_INLINE btScalar btLargeDot(const btScalar *a, const btScalar *b, int n)
 | 
						|
{
 | 
						|
	btScalar p0, q0, m0, p1, q1, m1, sum;
 | 
						|
	sum = 0;
 | 
						|
	n -= 2;
 | 
						|
	while (n >= 0)
 | 
						|
	{
 | 
						|
		p0 = a[0];
 | 
						|
		q0 = b[0];
 | 
						|
		m0 = p0 * q0;
 | 
						|
		p1 = a[1];
 | 
						|
		q1 = b[1];
 | 
						|
		m1 = p1 * q1;
 | 
						|
		sum += m0;
 | 
						|
		sum += m1;
 | 
						|
		a += 2;
 | 
						|
		b += 2;
 | 
						|
		n -= 2;
 | 
						|
	}
 | 
						|
	n += 2;
 | 
						|
	while (n > 0)
 | 
						|
	{
 | 
						|
		sum += (*a) * (*b);
 | 
						|
		a++;
 | 
						|
		b++;
 | 
						|
		n--;
 | 
						|
	}
 | 
						|
	return sum;
 | 
						|
}
 | 
						|
 | 
						|
// returns normalized value in range [-SIMD_PI, SIMD_PI]
 | 
						|
SIMD_FORCE_INLINE btScalar btNormalizeAngle(btScalar angleInRadians)
 | 
						|
{
 | 
						|
	angleInRadians = btFmod(angleInRadians, SIMD_2_PI);
 | 
						|
	if (angleInRadians < -SIMD_PI)
 | 
						|
	{
 | 
						|
		return angleInRadians + SIMD_2_PI;
 | 
						|
	}
 | 
						|
	else if (angleInRadians > SIMD_PI)
 | 
						|
	{
 | 
						|
		return angleInRadians - SIMD_2_PI;
 | 
						|
	}
 | 
						|
	else
 | 
						|
	{
 | 
						|
		return angleInRadians;
 | 
						|
	}
 | 
						|
}
 | 
						|
 | 
						|
///rudimentary class to provide type info
 | 
						|
struct btTypedObject
 | 
						|
{
 | 
						|
	btTypedObject(int objectType)
 | 
						|
		: m_objectType(objectType)
 | 
						|
	{
 | 
						|
	}
 | 
						|
	int m_objectType;
 | 
						|
	inline int getObjectType() const
 | 
						|
	{
 | 
						|
		return m_objectType;
 | 
						|
	}
 | 
						|
};
 | 
						|
 | 
						|
///align a pointer to the provided alignment, upwards
 | 
						|
template <typename T>
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						|
T *btAlignPointer(T *unalignedPtr, size_t alignment)
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{
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	struct btConvertPointerSizeT
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	{
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		union {
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						|
			T *ptr;
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						|
			size_t integer;
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						|
		};
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	};
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	btConvertPointerSizeT converter;
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						|
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	const size_t bit_mask = ~(alignment - 1);
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						|
	converter.ptr = unalignedPtr;
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						|
	converter.integer += alignment - 1;
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						|
	converter.integer &= bit_mask;
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						|
	return converter.ptr;
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						|
}
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						|
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#endif  //BT_SCALAR_H
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