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					@ -15,53 +15,82 @@ | 
				
			
			
		
	
		
			
				
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					namespace | 
				
			
			
		
	
		
			
				
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						template <typename T> | 
				
			
			
		
	
		
			
				
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						T next(T const & x); | 
				
			
			
		
	
		
			
				
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						T next_float(T const & x); | 
				
			
			
		
	
		
			
				
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					#if(GLM_COMPILER & GLM_COMPILER_VC) | 
				
			
			
		
	
		
			
				
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					#	include <cfloat> | 
				
			
			
		
	
		
			
				
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						GLM_FUNC_QUALIFIER float next(float const & x) | 
				
			
			
		
	
		
			
				
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					#   define GLM_NEXT_AFTER _nextafterf | 
				
			
			
		
	
		
			
				
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					#else | 
				
			
			
		
	
		
			
				
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					#	include <cmath> | 
				
			
			
		
	
		
			
				
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					#   define GLM_NEXT_AFTER nextafterf | 
				
			
			
		
	
		
			
				
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					#endif | 
				
			
			
		
	
		
			
				
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						GLM_FUNC_QUALIFIER float next_float(float const & x) | 
				
			
			
		
	
		
			
				
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						{ | 
				
			
			
		
	
		
			
				
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							return _nextafterf(x, std::numeric_limits<float>::max()); | 
				
			
			
		
	
		
			
				
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							return GLM_NEXT_AFTER(x, std::numeric_limits<float>::max()); | 
				
			
			
		
	
		
			
				
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						} | 
				
			
			
		
	
		
			
				
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						GLM_FUNC_QUALIFIER double next(double const & x) | 
				
			
			
		
	
		
			
				
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						GLM_FUNC_QUALIFIER double next_float(double const & x) | 
				
			
			
		
	
		
			
				
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						{ | 
				
			
			
		
	
		
			
				
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							return _nextafter(x, std::numeric_limits<double>::max()); | 
				
			
			
		
	
		
			
				
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							return GLM_NEXT_AFTER(x, std::numeric_limits<double>::max()); | 
				
			
			
		
	
		
			
				
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						} | 
				
			
			
		
	
		
			
				
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					#else | 
				
			
			
		
	
		
			
				
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					#	include <cmath> | 
				
			
			
		
	
		
			
				
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						GLM_FUNC_QUALIFIER float next(float const & x) | 
				
			
			
		
	
		
			
				
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						GLM_FUNC_QUALIFIER float prev_float(float const & x) | 
				
			
			
		
	
		
			
				
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						{ | 
				
			
			
		
	
		
			
				
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							return nextafterf(x, std::numeric_limits<float>::max()); | 
				
			
			
		
	
		
			
				
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							return GLM_NEXT_AFTER(x, std::numeric_limits<float>::min()); | 
				
			
			
		
	
		
			
				
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						} | 
				
			
			
		
	
		
			
				
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						GLM_FUNC_QUALIFIER double next(double const & x) | 
				
			
			
		
	
		
			
				
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						GLM_FUNC_QUALIFIER double prev_float(double const & x) | 
				
			
			
		
	
		
			
				
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						{ | 
				
			
			
		
	
		
			
				
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							return nextafter(x, std::numeric_limits<double>::max()); | 
				
			
			
		
	
		
			
				
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							return GLM_NEXT_AFTER(x, std::numeric_limits<double>::min()); | 
				
			
			
		
	
		
			
				
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						} | 
				
			
			
		
	
		
			
				
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					#endif | 
				
			
			
		
	
		
			
				
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						template <typename T> | 
				
			
			
		
	
		
			
				
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						GLM_FUNC_QUALIFIER T next(T const & x, std::size_t const & Steps) | 
				
			
			
		
	
		
			
				
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						GLM_FUNC_QUALIFIER T next_float(T const & x, std::size_t const & ulps) | 
				
			
			
		
	
		
			
				
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						{ | 
				
			
			
		
	
		
			
				
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							T temp = x; | 
				
			
			
		
	
		
			
				
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							for(std::size_t i = 0; i < Steps; ++i) | 
				
			
			
		
	
		
			
				
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								temp = next(temp); | 
				
			
			
		
	
		
			
				
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							for(std::size_t i = 0; i < ulps; ++i) | 
				
			
			
		
	
		
			
				
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								temp = next_float(temp); | 
				
			
			
		
	
		
			
				
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							return temp; | 
				
			
			
		
	
		
			
				
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						} | 
				
			
			
		
	
		
			
				
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						template <typename T> | 
				
			
			
		
	
		
			
				
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						GLM_FUNC_QUALIFIER std::size_t ulp_distance(T const & x, T const & y) | 
				
			
			
		
	
		
			
				
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						GLM_FUNC_QUALIFIER T prev_float(T const & x, std::size_t const & ulps) | 
				
			
			
		
	
		
			
				
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						{ | 
				
			
			
		
	
		
			
				
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							std::size_t ulp = 0; | 
				
			
			
		
	
		
			
				
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							T temp = x; | 
				
			
			
		
	
		
			
				
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							while(temp != y) | 
				
			
			
		
	
		
			
				
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							{ | 
				
			
			
		
	
		
			
				
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								++ulp; | 
				
			
			
		
	
		
			
				
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								temp = next(temp); | 
				
			
			
		
	
		
			
				
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							} | 
				
			
			
		
	
		
			
				
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							for(std::size_t i = 0; i < ulps; ++i) | 
				
			
			
		
	
		
			
				
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								temp = prev_float(temp); | 
				
			
			
		
	
		
			
				
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							return temp; | 
				
			
			
		
	
		
			
				
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						} | 
				
			
			
		
	
		
			
				
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						template <typename T> | 
				
			
			
		
	
		
			
				
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						GLM_FUNC_QUALIFIER std::size_t float_distance(T const & x, T const & y) | 
				
			
			
		
	
		
			
				
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					        std::size_t ulp = 0; | 
				
			
			
		
	
		
			
				
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					        if(x < y) | 
				
			
			
		
	
		
			
				
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					            T temp = x; | 
				
			
			
		
	
		
			
				
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					            while(temp != y && ulp < std::numeric_limits<std::size_t>::max()) | 
				
			
			
		
	
		
			
				
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					            { | 
				
			
			
		
	
		
			
				
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					                ++ulp; | 
				
			
			
		
	
		
			
				
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					                temp = next_float(temp); | 
				
			
			
		
	
		
			
				
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					            } | 
				
			
			
		
	
		
			
				
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					        } | 
				
			
			
		
	
		
			
				
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					        else if(y < x) | 
				
			
			
		
	
		
			
				
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					        { | 
				
			
			
		
	
		
			
				
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					            T temp = y; | 
				
			
			
		
	
		
			
				
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					            while(temp != x && ulp < std::numeric_limits<std::size_t>::max()) | 
				
			
			
		
	
		
			
				
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					            { | 
				
			
			
		
	
		
			
				
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					                ++ulp; | 
				
			
			
		
	
		
			
				
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					                temp = next_float(temp); | 
				
			
			
		
	
		
			
				
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					            } | 
				
			
			
		
	
		
			
				
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					        } | 
				
			
			
		
	
		
			
				
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					        else // ==
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					        } | 
				
			
			
		
	
		
			
				
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							return ulp; | 
				
			
			
		
	
		
			
				
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						} | 
				
			
			
		
	
		
			
				
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					}//namespace
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					@ -71,18 +100,27 @@ int test_ulp_float() | 
				
			
			
		
	
		
			
				
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						std::cout.precision(std::numeric_limits<double>::digits10 + 1); | 
				
			
			
		
	
		
			
				
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						float W = 1.0f; | 
				
			
			
		
	
		
			
				
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					    float X = next(W); | 
				
			
			
		
	
		
			
				
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					    float X = next_float(W); | 
				
			
			
		
	
		
			
				
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						double Y = 1.0; | 
				
			
			
		
	
		
			
				
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					    double Z = next_float(Y); | 
				
			
			
		
	
		
			
				
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						bool TestX = W != X; | 
				
			
			
		
	
		
			
				
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						std::cout << " 1.0f, Next: " << ulp_distance(W, X)<< std::endl; | 
				
			
			
		
	
		
			
				
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						std::cout << " 1.0f, Nextt(1000): " << next(W, 1000)<< std::endl; | 
				
			
			
		
	
		
			
				
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						//std::cout << " 0.01, 0.011: " << ulp_distance(0.00000000001f, 0.000000000011f) << std::endl;
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						//std::cout << " 0.01, 0.011: " << ulp_distance(0.00000000001, 0.000000000011) << std::endl;
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						bool TestZ = Y != Z;    
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						std::cout << "1.0f, Next: " << float_distance(W, X)<< std::endl; | 
				
			
			
		
	
		
			
				
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						std::cout << "1.0f, Next(1000): " << float_distance(W, next_float(W, 1000)) << std::endl; | 
				
			
			
		
	
		
			
				
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						std::cout << "1.0f, Next: " << float_distance(X, W)<< std::endl; | 
				
			
			
		
	
		
			
				
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						std::cout << "1.0f, Next(1000): " << float_distance(next_float(W, 1000), W) << std::endl; | 
				
			
			
		
	
		
			
				
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						std::cout << "1.0, Next: " << float_distance(Y, Z) << std::endl; | 
				
			
			
		
	
		
			
				
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						std::cout << "1.0, Next(1000): " << float_distance(next_float(Y, 1000), Y) << std::endl; | 
				
			
			
		
	
		
			
				
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						double Y = 1.0; | 
				
			
			
		
	
		
			
				
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					    double Z = next(Y); | 
				
			
			
		
	
		
			
				
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						bool TestZ = Y != Z; | 
				
			
			
		
	
		
			
				
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					    std::cout << Z << " 0.01, 0.011" << std::endl; | 
				
			
			
		
	
		
			
				
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						std::cout << " 1.0, Next(1000000): " << next(Y, 1000000)<< std::endl; | 
				
			
			
		
	
		
			
				
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						std::cout << " 1.0, Next(1000000): " << next_float(Y, 1000000)<< std::endl; | 
				
			
			
		
	
		
			
				
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						std::size_t A = glm::ulp(0.01, 0.02); | 
				
			
			
		
	
		
			
				
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						std::size_t B = glm::ulp(glm::vec2(0.01), glm::vec2(0.02)); | 
				
			
			
		
	
	
		
			
				
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