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lemon/tolerance.h
changeset 88 18444049848b
parent 42 3a98515e9bc3
child 72 7050661bdea4
equal deleted inserted replaced
3:150880e30176 4:4965b3c79f8a 
    34   
    34   
    35   ///\brief A class to provide a basic way to
 
    35   ///\brief A class to provide a basic way to
 
    36   ///handle the comparison of numbers that are obtained
 
    36   ///handle the comparison of numbers that are obtained
 
    37   ///as a result of a probably inexact computation.
 
    37   ///as a result of a probably inexact computation.
 
    38   ///
 
    38   ///
 
    39   ///Tolerance is a class to provide a basic way to
 
    39   ///\ref Tolerance is a class to provide a basic way to
 
    40   ///handle the comparison of numbers that are obtained
 
    40   ///handle the comparison of numbers that are obtained
 
    41   ///as a result of a probably inexact computation.
 
    41   ///as a result of a probably inexact computation.
 
    42   ///
 
    42   ///
 
    43   ///This is an abstract class, it should be specialized for all numerical
 
    43   ///This is an abstract class, it should be specialized for all numerical
 
    44   ///data types. These specialized classes like Tolerance<double>
 
    44   ///data types. These specialized classes like \ref Tolerance<double>
 
    45   ///may offer additional tuning parameters.
 
    45   ///may offer additional tuning parameters.
 
    46   ///
 
    46   ///
 
    47   ///\sa Tolerance<float>
 
    47   ///\sa Tolerance<float>
 
    48   ///\sa Tolerance<double>
 
    48   ///\sa Tolerance<double>
 
    49   ///\sa Tolerance<long double>
 
    49   ///\sa Tolerance<long double>
 
    50   ///\sa Tolerance<int>
 
    50   ///\sa Tolerance<int>
 
    51 #if defined __GNUC__ && !defined __STRICT_ANSI__  
       
    52   ///\sa Tolerance<long long int>
 
    51   ///\sa Tolerance<long long int>
 
    53 #endif
 
       
    54   ///\sa Tolerance<unsigned int>
 
    52   ///\sa Tolerance<unsigned int>
 
    55 #if defined __GNUC__ && !defined __STRICT_ANSI__  
       
    56   ///\sa Tolerance<unsigned long long int>
 
    53   ///\sa Tolerance<unsigned long long int>
 
    57 #endif
 
       
    58 
    54 
    59   template<class T>
 
    55   template<class T>
 
    60   class Tolerance
 
    56   class Tolerance
 
    61   {
 
    57   {
 
    62   public:
 
    58   public:
 
    63     typedef T Value;
 
    59     typedef T Value;
 
    64 
    60 
    65     ///\name Comparisons
 
    61     ///\name Comparisons
 
    66     ///The concept is that these bool functions return with \c true only if
 
    62     ///The concept is that these bool functions return \c true only if
 
    67     ///the related comparisons hold even if some numerical error appeared
 
    63     ///the related comparisons hold even if some numerical error appeared
 
    68     ///during the computations.
 
    64     ///during the computations.
 
    69 
    65 
    70     ///@{
 
    66     ///@{
 
    71 
    67 
   105     ///\e
 
   101     ///\e
 
   106     typedef float Value;
 
   102     typedef float Value;
 
   107 
   103 
   108     ///Constructor setting the epsilon tolerance to the default value.
 
   104     ///Constructor setting the epsilon tolerance to the default value.
 
   109     Tolerance() : _epsilon(def_epsilon) {}
 
   105     Tolerance() : _epsilon(def_epsilon) {}
 
   110     ///Constructor setting the epsilon tolerance.
 
   106     ///Constructor setting the epsilon tolerance to the given value.
 
   111     Tolerance(float e) : _epsilon(e) {}
 
   107     Tolerance(float e) : _epsilon(e) {}
 
   112 
   108 
   113     ///Return the epsilon value.
 
   109     ///Returns the epsilon value.
 
   114     Value epsilon() const {return _epsilon;}
 
   110     Value epsilon() const {return _epsilon;}
 
   115     ///Set the epsilon value.
 
   111     ///Sets the epsilon value.
 
   116     void epsilon(Value e) {_epsilon=e;}
 
   112     void epsilon(Value e) {_epsilon=e;}
 
   117 
   113 
   118     ///Return the default epsilon value.
 
   114     ///Returns the default epsilon value.
 
   119     static Value defaultEpsilon() {return def_epsilon;}
 
   115     static Value defaultEpsilon() {return def_epsilon;}
 
   120     ///Set the default epsilon value.
 
   116     ///Sets the default epsilon value.
 
   121     static void defaultEpsilon(Value e) {def_epsilon=e;}
 
   117     static void defaultEpsilon(Value e) {def_epsilon=e;}
 
   122 
   118 
   123     ///\name Comparisons
 
   119     ///\name Comparisons
 
   124     ///See class Tolerance for more details.
 
   120     ///See \ref Tolerance for more details.
 
   125 
   121 
   126     ///@{
 
   122     ///@{
 
   127 
   123 
   128     ///Returns \c true if \c a is \e surely strictly less than \c b
 
   124     ///Returns \c true if \c a is \e surely strictly less than \c b
 
   129     bool less(Value a,Value b) const {return a+_epsilon<b;}
 
   125     bool less(Value a,Value b) const {return a+_epsilon<b;}
 
   156     ///\e
 
   152     ///\e
 
   157     typedef double Value;
 
   153     typedef double Value;
 
   158 
   154 
   159     ///Constructor setting the epsilon tolerance to the default value.
 
   155     ///Constructor setting the epsilon tolerance to the default value.
 
   160     Tolerance() : _epsilon(def_epsilon) {}
 
   156     Tolerance() : _epsilon(def_epsilon) {}
 
   161     ///Constructor setting the epsilon tolerance.
 
   157     ///Constructor setting the epsilon tolerance to the given value.
 
   162     Tolerance(double e) : _epsilon(e) {}
 
   158     Tolerance(double e) : _epsilon(e) {}
 
   163 
   159 
   164     ///Return the epsilon value.
 
   160     ///Returns the epsilon value.
 
   165     Value epsilon() const {return _epsilon;}
 
   161     Value epsilon() const {return _epsilon;}
 
   166     ///Set the epsilon value.
 
   162     ///Sets the epsilon value.
 
   167     void epsilon(Value e) {_epsilon=e;}
 
   163     void epsilon(Value e) {_epsilon=e;}
 
   168 
   164 
   169     ///Return the default epsilon value.
 
   165     ///Returns the default epsilon value.
 
   170     static Value defaultEpsilon() {return def_epsilon;}
 
   166     static Value defaultEpsilon() {return def_epsilon;}
 
   171     ///Set the default epsilon value.
 
   167     ///Sets the default epsilon value.
 
   172     static void defaultEpsilon(Value e) {def_epsilon=e;}
 
   168     static void defaultEpsilon(Value e) {def_epsilon=e;}
 
   173 
   169 
   174     ///\name Comparisons
 
   170     ///\name Comparisons
 
   175     ///See class Tolerance for more details.
 
   171     ///See \ref Tolerance for more details.
 
   176 
   172 
   177     ///@{
 
   173     ///@{
 
   178 
   174 
   179     ///Returns \c true if \c a is \e surely strictly less than \c b
 
   175     ///Returns \c true if \c a is \e surely strictly less than \c b
 
   180     bool less(Value a,Value b) const {return a+_epsilon<b;}
 
   176     bool less(Value a,Value b) const {return a+_epsilon<b;}
 
   207     ///\e
 
   203     ///\e
 
   208     typedef long double Value;
 
   204     typedef long double Value;
 
   209 
   205 
   210     ///Constructor setting the epsilon tolerance to the default value.
 
   206     ///Constructor setting the epsilon tolerance to the default value.
 
   211     Tolerance() : _epsilon(def_epsilon) {}
 
   207     Tolerance() : _epsilon(def_epsilon) {}
 
   212     ///Constructor setting the epsilon tolerance.
 
   208     ///Constructor setting the epsilon tolerance to the given value.
 
   213     Tolerance(long double e) : _epsilon(e) {}
 
   209     Tolerance(long double e) : _epsilon(e) {}
 
   214 
   210 
   215     ///Return the epsilon value.
 
   211     ///Returns the epsilon value.
 
   216     Value epsilon() const {return _epsilon;}
 
   212     Value epsilon() const {return _epsilon;}
 
   217     ///Set the epsilon value.
 
   213     ///Sets the epsilon value.
 
   218     void epsilon(Value e) {_epsilon=e;}
 
   214     void epsilon(Value e) {_epsilon=e;}
 
   219 
   215 
   220     ///Return the default epsilon value.
 
   216     ///Returns the default epsilon value.
 
   221     static Value defaultEpsilon() {return def_epsilon;}
 
   217     static Value defaultEpsilon() {return def_epsilon;}
 
   222     ///Set the default epsilon value.
 
   218     ///Sets the default epsilon value.
 
   223     static void defaultEpsilon(Value e) {def_epsilon=e;}
 
   219     static void defaultEpsilon(Value e) {def_epsilon=e;}
 
   224 
   220 
   225     ///\name Comparisons
 
   221     ///\name Comparisons
 
   226     ///See class Tolerance for more details.
 
   222     ///See \ref Tolerance for more details.
 
   227 
   223 
   228     ///@{
 
   224     ///@{
 
   229 
   225 
   230     ///Returns \c true if \c a is \e surely strictly less than \c b
 
   226     ///Returns \c true if \c a is \e surely strictly less than \c b
 
   231     bool less(Value a,Value b) const {return a+_epsilon<b;}
 
   227     bool less(Value a,Value b) const {return a+_epsilon<b;}
 
   254   public:
 
   250   public:
 
   255     ///\e
 
   251     ///\e
 
   256     typedef int Value;
 
   252     typedef int Value;
 
   257 
   253 
   258     ///\name Comparisons
 
   254     ///\name Comparisons
 
   259     ///See Tolerance for more details.
 
   255     ///See \ref Tolerance for more details.
 
   260 
   256 
   261     ///@{
 
   257     ///@{
 
   262 
   258 
   263     ///Returns \c true if \c a is \e surely strictly less than \c b
 
   259     ///Returns \c true if \c a is \e surely strictly less than \c b
 
   264     static bool less(Value a,Value b) { return a<b;}
 
   260     static bool less(Value a,Value b) { return a<b;}
 
   287   public:
 
   283   public:
 
   288     ///\e
 
   284     ///\e
 
   289     typedef unsigned int Value;
 
   285     typedef unsigned int Value;
 
   290 
   286 
   291     ///\name Comparisons
 
   287     ///\name Comparisons
 
   292     ///See Tolerance for more details.
 
   288     ///See \ref Tolerance for more details.
 
   293 
   289 
   294     ///@{
 
   290     ///@{
 
   295 
   291 
   296     ///Returns \c true if \c a is \e surely strictly less than \c b
 
   292     ///Returns \c true if \c a is \e surely strictly less than \c b
 
   297     static bool less(Value a,Value b) { return a<b;}
 
   293     static bool less(Value a,Value b) { return a<b;}
 
   321   public:
 
   317   public:
 
   322     ///\e
 
   318     ///\e
 
   323     typedef long int Value;
 
   319     typedef long int Value;
 
   324 
   320 
   325     ///\name Comparisons
 
   321     ///\name Comparisons
 
   326     ///See Tolerance for more details.
 
   322     ///See \ref Tolerance for more details.
 
   327 
   323 
   328     ///@{
 
   324     ///@{
 
   329 
   325 
   330     ///Returns \c true if \c a is \e surely strictly less than \c b
 
   326     ///Returns \c true if \c a is \e surely strictly less than \c b
 
   331     static bool less(Value a,Value b) { return a<b;}
 
   327     static bool less(Value a,Value b) { return a<b;}
 
   354   public:
 
   350   public:
 
   355     ///\e
 
   351     ///\e
 
   356     typedef unsigned long int Value;
 
   352     typedef unsigned long int Value;
 
   357 
   353 
   358     ///\name Comparisons
 
   354     ///\name Comparisons
 
   359     ///See Tolerance for more details.
 
   355     ///See \ref Tolerance for more details.
 
   360 
   356 
   361     ///@{
 
   357     ///@{
 
   362 
   358 
   363     ///Returns \c true if \c a is \e surely strictly less than \c b
 
   359     ///Returns \c true if \c a is \e surely strictly less than \c b
 
   364     static bool less(Value a,Value b) { return a<b;}
 
   360     static bool less(Value a,Value b) { return a<b;}
lemon-1.2