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/*========================================================================= |
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Program: Insight Segmentation & Registration Toolkit |
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Module: $RCSfile: itkNumericTraits.h.html,v $ |
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Language: C++ |
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Date: $Date: 2006/01/17 19:15:42 $ |
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Version: $Revision: 1.4 $ |
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Copyright (c) Insight Software Consortium. All rights reserved. |
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See ITKCopyright.txt or http://www.itk.org/HTML/Copyright.htm for details. |
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This software is distributed WITHOUT ANY WARRANTY; without even |
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the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR |
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PURPOSE. See the above copyright notices for more information. |
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=========================================================================*/ |
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#ifndef __itkNumericTraits_h |
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#define __itkNumericTraits_h |
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#include "itkMacro.h" |
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#undef min |
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#undef max |
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#include "vcl_limits.h" // for vcl_numeric_limits |
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#include <complex> |
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|
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namespace itk |
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{ |
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|
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/** \class NumericTraits |
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* \brief Define additional traits for native types such as int or float. |
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* |
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* NumericTraits is used to extend the traits associated with native types |
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* such as float, char, int, and so on. These traits are extensions of the |
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* standard <numeric_limits> defined by the C++ compilers. Some of the added |
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* traits include minimum and maximum value; accumulation type; etc. |
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* |
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* \ingroup DataRepresentation |
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*/ |
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template <class T> |
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class NumericTraits : public vcl_numeric_limits<T> { |
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public: |
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/** The type of this limits trait object. */ |
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typedef vcl_numeric_limits<T> TraitsType; |
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|
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/** Return the type of this native type. */ |
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typedef T ValueType; |
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|
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/** Return the type that can be printed. */ |
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typedef T PrintType; |
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|
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/** Return value of abs(). */ |
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typedef T AbsType; |
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|
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/** Accumulation of addition and multiplication. */ |
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typedef double AccumulateType; |
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|
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// This primary template is never used but we need this definition |
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// to avoid an ICE on VS 7.0. This definition cannot be present for |
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// VS 7.1 though or it generates bogus errors. |
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#if defined(_MSC_VER) && _MSC_VER == 1300 |
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/** Type for real-valued operations. */ |
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typedef double RealType; |
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TDA |
typedef RealType ScalarRealType; |
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#endif |
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|
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/** Typedef for operations that use floating point instead of real precision |
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* to save memory */ |
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typedef float FloatType; |
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|
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/** Additive identity. */ |
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static const T Zero; |
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|
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/** Multiplicative identity. */ |
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static const T One; |
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|
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/** Smallest (most nonpositive) value **/ |
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static T NonpositiveMin() { return TraitsType::min(); } |
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|
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/** Is a given value positive? **/ |
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static bool IsPositive(T val) { return val > Zero; } |
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|
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/** Is a given value nonpositive? **/ |
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static bool IsNonpositive(T val) { return val <= Zero; } |
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|
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/** Is a given value negative? **/ |
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static bool IsNegative(T val) { return val < Zero; } |
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|
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/** Is a given value nonnegative? **/ |
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static bool IsNonnegative(T val) { return val >= Zero; } |
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|
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/** Return zero value. This function should be used to support |
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* RGBPixel type and standard types (not vectors) */ |
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static T ZeroValue() { return Zero; } |
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}; |
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|
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/** \class NumericTraits<bool> |
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* \brief Define traits for type bool. |
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* |
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* \ingroup DataRepresentation |
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*/ |
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|
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template <> |
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class NumericTraits<bool> : public vcl_numeric_limits<bool> { |
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public: |
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typedef bool ValueType; |
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typedef bool PrintType; |
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typedef unsigned char AbsType; |
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typedef unsigned char AccumulateType; |
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typedef double RealType; |
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typedef RealType ScalarRealType; |
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typedef float FloatType; |
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static const bool ITKCommon_EXPORT Zero; |
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static const bool ITKCommon_EXPORT One; |
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|
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static bool min() { return false; } |
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static bool max() { return true; } |
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static bool NonpositiveMin() { return false; } |
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static bool IsPositive(bool val) { return val; } |
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static bool IsNonpositive(bool val) { return !val; } |
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static bool IsNegative(bool /* val */) { return false; } |
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static bool IsNonnegative(bool /*val*/) {return true; } |
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static bool ZeroValue() { return Zero; } |
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}; |
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|
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/** \class NumericTraits<char> |
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* \brief Define traits for type char. |
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* NOTE: char is not guarenteed to be signed. On SGI's, thge default is unsigned |
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*/ |
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template <> |
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class NumericTraits<char> : public vcl_numeric_limits<char> { |
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public: |
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typedef char ValueType; |
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typedef int PrintType; |
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typedef unsigned char AbsType; |
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typedef short AccumulateType; |
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typedef double RealType; |
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typedef RealType ScalarRealType; |
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typedef float FloatType; |
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static const char ITKCommon_EXPORT Zero; |
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static const char ITKCommon_EXPORT One; |
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|
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static char min() { return char(255) < 0 ? -128 : 0; } |
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static char max() { return char(255) < 0 ? 127 : 255; } |
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static char NonpositiveMin() { return min(); } |
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static bool IsPositive(char val) { return val > Zero; } |
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static bool IsNonpositive(char val) { return val <= Zero; } |
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static bool IsNegative(char val) { return val < Zero; } |
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static bool IsNonnegative(char val) {return val >= Zero; } |
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static char ZeroValue() { return Zero; } |
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}; |
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/** \class NumericTraits<char> |
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* \brief Define traits for type char. |
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* NOTE: char is not guarenteed to be signed. On SGI's, thge default is unsigned |
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*/ |
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template <> |
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class NumericTraits<signed char> : public vcl_numeric_limits<signed char> { |
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public: |
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typedef signed char ValueType; |
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typedef int PrintType; |
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typedef unsigned char AbsType; |
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typedef short AccumulateType; |
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typedef double RealType; |
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typedef RealType ScalarRealType; |
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typedef float FloatType; |
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static const signed char ITKCommon_EXPORT Zero; |
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static const signed char ITKCommon_EXPORT One; |
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|
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static signed char min() { return -128; } |
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static signed char max() { return 127; } |
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static signed char NonpositiveMin() { return min(); } |
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static bool IsPositive(signed char val) { return val > Zero; } |
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static bool IsNonpositive(signed char val) { return val <= Zero; } |
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static bool IsNegative(signed char val) { return val < Zero; } |
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static bool IsNonnegative(signed char val) {return val >= Zero; } |
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static signed char ZeroValue() { return Zero; } |
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}; |
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|
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/** \class NumericTraits<unsigned char> |
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* \brief Define traits for type unsigned char. |
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* \ingroup DataRepresentation |
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*/ |
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template <> |
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class NumericTraits<unsigned char> : public vcl_numeric_limits<unsigned char> { |
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public: |
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typedef unsigned char ValueType; |
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typedef int PrintType; |
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typedef unsigned char AbsType; |
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typedef unsigned short AccumulateType; |
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typedef double RealType; |
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typedef RealType ScalarRealType; |
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typedef float FloatType; |
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static const unsigned char ITKCommon_EXPORT Zero; |
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static const unsigned char ITKCommon_EXPORT One; |
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|
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static unsigned char NonpositiveMin() { return min(); } |
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static bool IsPositive(unsigned char val) { return val != Zero; } |
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static bool IsNonpositive(unsigned char val) { return val == Zero; } |
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static bool IsNegative(unsigned char /* val */) { return false; } |
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static bool IsNonnegative(unsigned char /*val */) {return true; } |
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static unsigned char ZeroValue() { return Zero; } |
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}; |
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|
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/** \class NumericTraits<short> |
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* \brief Define traits for type short. |
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*/ |
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template <> |
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class NumericTraits<short> : public vcl_numeric_limits<short> { |
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public: |
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typedef short ValueType; |
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typedef short PrintType; |
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typedef unsigned short AbsType; |
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typedef int AccumulateType; |
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typedef double RealType; |
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typedef RealType ScalarRealType; |
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typedef float FloatType; |
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static const short ITKCommon_EXPORT Zero; |
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static const short ITKCommon_EXPORT One; |
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|
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static short NonpositiveMin() { return min(); } |
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static bool IsPositive(short val) { return val > Zero; } |
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static bool IsNonpositive(short val) { return val <= Zero; } |
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static bool IsNegative(short val) { return val < Zero; } |
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static bool IsNonnegative(short val) {return val >= Zero; } |
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static short ZeroValue() { return Zero; } |
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}; |
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|
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/** \class NumericTraits<unsigned short> |
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* \brief Define traits for type unsigned short. |
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* \ingroup DataRepresentation |
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*/ |
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template <> |
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class NumericTraits<unsigned short> : public vcl_numeric_limits<unsigned short> { |
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public: |
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typedef unsigned short ValueType; |
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typedef unsigned short PrintType; |
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typedef unsigned short AbsType; |
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typedef unsigned int AccumulateType; |
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typedef double RealType; |
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typedef RealType ScalarRealType; |
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typedef float FloatType; |
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static const unsigned short ITKCommon_EXPORT Zero; |
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static const unsigned short ITKCommon_EXPORT One; |
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|
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static unsigned short NonpositiveMin() { return min(); } |
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static unsigned short IsPositive(unsigned short val) { return val != Zero; } |
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static bool IsNonpositive(unsigned short val) { return val == Zero; } |
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static bool IsNegative(unsigned short/* val*/) { return false; } |
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static bool IsNonnegative(unsigned short /*val*/) {return true; } |
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static unsigned short ZeroValue() { return Zero; } |
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}; |
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|
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/** \class NumericTraits<int> |
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* \brief Define traits for type int. |
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*/ |
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template <> |
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class NumericTraits<int> : public vcl_numeric_limits<int> { |
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public: |
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typedef int ValueType; |
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typedef int PrintType; |
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TDA |
typedef unsigned int AbsType; |
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TDA |
typedef long AccumulateType; |
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TDA |
typedef double RealType; |
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TDA |
typedef RealType ScalarRealType; |
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typedef float FloatType; |
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static const int ITKCommon_EXPORT Zero; |
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static const int ITKCommon_EXPORT One; |
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|
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static int NonpositiveMin() { return min(); } |
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static bool IsPositive(int val) { return val > Zero; } |
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static bool IsNonpositive(int val) { return val <= Zero; } |
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static bool IsNegative(int val) { return val < Zero; } |
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static bool IsNonnegative(int val) {return val >= Zero; } |
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static int ZeroValue() { return Zero; } |
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}; |
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|
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/** \class NumericTraits<unsigned int> |
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* \brief Define traits for type unsigned int. |
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* \ingroup DataRepresentation |
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*/ |
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template <> |
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class NumericTraits<unsigned int> : public vcl_numeric_limits<unsigned int> { |
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public: |
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typedef unsigned int ValueType; |
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typedef unsigned int PrintType; |
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typedef unsigned int AbsType; |
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typedef unsigned int AccumulateType; |
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TDA |
typedef double RealType; |
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TDA |
typedef RealType ScalarRealType; |
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typedef float FloatType; |
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static const unsigned int ITKCommon_EXPORT Zero; |
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static const unsigned int ITKCommon_EXPORT One; |
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|
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static unsigned int min(void) { return 0; } |
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static unsigned int max(void) { return static_cast<unsigned int>( -1 ); } |
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static unsigned int NonpositiveMin() { return 0; } |
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static bool IsPositive(unsigned int val) { return val != Zero; } |
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static bool IsNonpositive(unsigned int val) { return val == Zero; } |
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static bool IsNegative(unsigned int /*val*/) { return false; } |
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static bool IsNonnegative(unsigned int /*val*/) {return true; } |
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static unsigned int ZeroValue() { return Zero; } |
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}; |
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|
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/** \class NumericTraits<long> |
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* \brief Define traits for type long. |
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* \ingroup DataRepresentation |
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*/ |
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template <> |
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class NumericTraits<long> : public vcl_numeric_limits<long> { |
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public: |
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typedef long ValueType; |
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typedef long PrintType; |
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TDA |
typedef unsigned long AbsType; |
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typedef long AccumulateType; |
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TDA |
typedef double RealType; |
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TDA |
typedef RealType ScalarRealType; |
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typedef float FloatType; |
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static const long ITKCommon_EXPORT Zero; |
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static const long ITKCommon_EXPORT One; |
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|
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static long NonpositiveMin() { return min(); } |
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static bool IsPositive(long val) { return val > Zero; } |
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static bool IsNonpositive(long val) { return val <= Zero; } |
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static bool IsNegative(long val) { return val < Zero; } |
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static bool IsNonnegative(long val) {return val >= Zero; } |
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static long ZeroValue() { return Zero; } |
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}; |
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|
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/** \class NumericTraits<unsigned long> |
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* \brief Define traits for type unsigned long. |
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* \ingroup DataRepresentation |
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*/ |
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template <> |
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class NumericTraits<unsigned long> : public vcl_numeric_limits<unsigned long> { |
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public: |
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typedef unsigned long ValueType; |
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typedef unsigned long PrintType; |
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typedef unsigned long AbsType; |
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typedef unsigned long AccumulateType; |
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TDA |
typedef double RealType; |
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TDA |
typedef RealType ScalarRealType; |
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TDA |
typedef float FloatType; |
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static const unsigned long ITKCommon_EXPORT Zero; |
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static const unsigned long ITKCommon_EXPORT One; |
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|
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static unsigned long NonpositiveMin() { return min(); } |
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static bool IsPositive(unsigned long val) { return val != Zero; } |
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static bool IsNonpositive(unsigned long val) { return val == Zero; } |
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static bool IsNegative(unsigned long) { return false; } |
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static bool IsNonnegative(unsigned long) {return true; } |
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static unsigned long ZeroValue() { return Zero; } |
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}; |
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|
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/** \class NumericTraits<float> |
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* \brief Define traits for type float. |
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* \ingroup DataRepresentation |
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*/ |
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template <> |
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class NumericTraits<float> : public vcl_numeric_limits<float> { |
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public: |
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typedef float ValueType; |
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typedef float PrintType; |
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typedef float AbsType; |
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TDA |
typedef double AccumulateType; |
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TDA |
typedef double RealType; |
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TDA |
typedef RealType ScalarRealType; |
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typedef float FloatType; |
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static const float ITKCommon_EXPORT Zero; |
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static const float ITKCommon_EXPORT One; |
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|
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static float NonpositiveMin() { return -max(); } |
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static bool IsPositive(float val) { return val > Zero; } |
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static bool IsNonpositive(float val) { return val <= Zero; } |
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static bool IsNegative(float val) { return val < Zero; } |
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static bool IsNonnegative(float val) {return val >= Zero; } |
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static float ZeroValue() { return Zero; } |
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}; |
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|
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/** \class NumericTraits<double> |
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* \brief Define traits for type double. |
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* \ingroup DataRepresentation |
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*/ |
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template <> |
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class NumericTraits<double> : public vcl_numeric_limits<double> { |
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public: |
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typedef double ValueType; |
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typedef double PrintType; |
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typedef double AbsType; |
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typedef double AccumulateType; |
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typedef double RealType; |
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TDA |
typedef RealType ScalarRealType; |
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TDA |
typedef float FloatType; |
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static const double ITKCommon_EXPORT Zero; |
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static const double ITKCommon_EXPORT One; |
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|
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static double NonpositiveMin() { return -max(); } |
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static bool IsPositive(double val) { return val > Zero; } |
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static bool IsNonpositive(double val) { return val <= Zero; } |
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static bool IsNegative(double val) { return val < Zero; } |
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static bool IsNonnegative(double val) {return val >= Zero; } |
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static double ZeroValue() { return Zero; } |
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}; |
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|
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/** \class NumericTraits<long double> |
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* \brief Define traits for type long double. |
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* \ingroup DataRepresentation |
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*/ |
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template <> |
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class NumericTraits<long double> : public vcl_numeric_limits<long double> { |
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|
public: |
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|
typedef long double ValueType; |
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typedef long double PrintType; |
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typedef long double AbsType; |
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|
typedef long double AccumulateType; |
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typedef long double RealType; |
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TDA |
typedef RealType ScalarRealType; |
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TDA |
typedef float FloatType; |
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|
static const long double ITKCommon_EXPORT Zero; |
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static const long double ITKCommon_EXPORT One; |
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|
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static long double NonpositiveMin() { return -max(); } |
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static bool IsPositive(long double val) { return val > Zero; } |
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|
static bool IsNonpositive(long double val) { return val <= Zero; } |
| 425 |
|
static bool IsNegative(long double val) { return val < Zero; } |
| 426 |
|
static bool IsNonnegative(long double val) {return val >= Zero; } |
| 427 |
|
static long double ZeroValue() { return Zero; } |
| 428 |
|
}; |
| 429 |
|
|
| 430 |
|
/** \class NumericTraits< std::complex<float> > |
| 431 |
|
* \brief Define traits for type std::complex<float>. |
| 432 |
|
* \ingroup DataRepresentation |
| 433 |
|
*/ |
| 434 |
|
template <> |
| 435 |
|
class NumericTraits< std::complex<float> > { |
| 436 |
|
public: |
| 437 |
|
typedef std::complex<float> TheType; |
| 438 |
TDA |
typedef float ValueType; |
| 439 |
TDA |
typedef TheType PrintType; |
| 440 |
TDA |
typedef double AbsType; |
| 441 |
TDA |
typedef TheType AccumulateType; |
| 442 |
TDA |
typedef std::complex<double> RealType; |
| 443 |
TDA |
typedef double ScalarRealType; |
| 444 |
|
typedef std::complex<float> FloatType; |
| 445 |
|
static const TheType ITKCommon_EXPORT Zero; |
| 446 |
|
static const TheType ITKCommon_EXPORT One; |
| 447 |
|
|
| 448 |
|
static TheType NonpositiveMin() { |
| 449 |
|
return TheType(-NumericTraits<float>::NonpositiveMin(),0.0); } |
| 450 |
|
static bool IsPositive(TheType val) { return val.real() > 0.0; } |
| 451 |
|
static bool IsNonpositive(TheType val) { return val.real() <= 0.0; } |
| 452 |
|
static bool IsNegative(TheType val) { return val.real() < 0.0; } |
| 453 |
|
static bool IsNonnegative(TheType val) {return val.real() >= 0.0; } |
| 454 |
|
static TheType ZeroValue() { return Zero; } |
| 455 |
|
}; |
| 456 |
|
|
| 457 |
|
|
| 458 |
|
/** \class NumericTraits< std::complex<double> > |
| 459 |
|
* \brief Define traits for type std::complex<double>. |
| 460 |
|
* \ingroup DataRepresentation |
| 461 |
|
*/ |
| 462 |
|
template <> |
| 463 |
|
class NumericTraits< std::complex<double> > { |
| 464 |
|
public: |
| 465 |
|
typedef std::complex<double> TheType; |
| 466 |
TDA |
typedef double ValueType; |
| 467 |
TDA |
typedef TheType PrintType; |
| 468 |
TDA |
typedef double AbsType; |
| 469 |
TDA |
typedef TheType AccumulateType; |
| 470 |
|
typedef std::complex<double> RealType; |
| 471 |
TDA |
typedef double ScalarRealType; |
| 472 |
TDA |
typedef std::complex<float> FloatType; |
| 473 |
|
static const TheType ITKCommon_EXPORT Zero; |
| 474 |
|
static const TheType ITKCommon_EXPORT One; |
| 475 |
|
|
| 476 |
|
static TheType NonpositiveMin() { |
| 477 |
|
return TheType(-NumericTraits<double>::NonpositiveMin(),0.0); } |
| 478 |
|
static bool IsPositive(TheType val) { return val.real() > 0.0; } |
| 479 |
|
static bool IsNonpositive(TheType val) { return val.real() <= 0.0; } |
| 480 |
|
static bool IsNegative(TheType val) { return val.real() < 0.0; } |
| 481 |
|
static bool IsNonnegative(TheType val) {return val.real() >= 0.0; } |
| 482 |
|
static TheType ZeroValue() { return Zero; } |
| 483 |
|
}; |
| 484 |
|
|
| 485 |
|
|
| 486 |
|
} // end namespace itk |
| 487 |
|
|
| 488 |
|
#endif // __itkNumericTraits_h |
| 489 |
|
|