lemon/tolerance.h
changeset 83 3654324ec035
parent 49 9a556af88710
child 209 765619b7cbb2
equal deleted inserted replaced
4:4965b3c79f8a 5:ecaf6f756d5c
    38   ///
    38   ///
    39   ///\ref 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 
    44   ///data types. These specialized classes like \ref Tolerance<double>
    44   ///numerical data types. These specialized classes like 
    45   ///may offer additional tuning parameters.
    45   ///Tolerance<double> 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>
   115     static Value defaultEpsilon() {return def_epsilon;}
   115     static Value defaultEpsilon() {return def_epsilon;}
   116     ///Sets the default epsilon value.
   116     ///Sets the default epsilon value.
   117     static void defaultEpsilon(Value e) {def_epsilon=e;}
   117     static void defaultEpsilon(Value e) {def_epsilon=e;}
   118 
   118 
   119     ///\name Comparisons
   119     ///\name Comparisons
   120     ///See \ref Tolerance for more details.
   120     ///See \ref lemon::Tolerance "Tolerance" for more details.
   121 
   121 
   122     ///@{
   122     ///@{
   123 
   123 
   124     ///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
   125     bool less(Value a,Value b) const {return a+_epsilon<b;}
   125     bool less(Value a,Value b) const {return a+_epsilon<b;}
   166     static Value defaultEpsilon() {return def_epsilon;}
   166     static Value defaultEpsilon() {return def_epsilon;}
   167     ///Sets the default epsilon value.
   167     ///Sets the default epsilon value.
   168     static void defaultEpsilon(Value e) {def_epsilon=e;}
   168     static void defaultEpsilon(Value e) {def_epsilon=e;}
   169 
   169 
   170     ///\name Comparisons
   170     ///\name Comparisons
   171     ///See \ref Tolerance for more details.
   171     ///See \ref lemon::Tolerance "Tolerance" for more details.
   172 
   172 
   173     ///@{
   173     ///@{
   174 
   174 
   175     ///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
   176     bool less(Value a,Value b) const {return a+_epsilon<b;}
   176     bool less(Value a,Value b) const {return a+_epsilon<b;}
   217     static Value defaultEpsilon() {return def_epsilon;}
   217     static Value defaultEpsilon() {return def_epsilon;}
   218     ///Sets the default epsilon value.
   218     ///Sets the default epsilon value.
   219     static void defaultEpsilon(Value e) {def_epsilon=e;}
   219     static void defaultEpsilon(Value e) {def_epsilon=e;}
   220 
   220 
   221     ///\name Comparisons
   221     ///\name Comparisons
   222     ///See \ref Tolerance for more details.
   222     ///See \ref lemon::Tolerance "Tolerance" for more details.
   223 
   223 
   224     ///@{
   224     ///@{
   225 
   225 
   226     ///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
   227     bool less(Value a,Value b) const {return a+_epsilon<b;}
   227     bool less(Value a,Value b) const {return a+_epsilon<b;}
   250   public:
   250   public:
   251     ///\e
   251     ///\e
   252     typedef int Value;
   252     typedef int Value;
   253 
   253 
   254     ///\name Comparisons
   254     ///\name Comparisons
   255     ///See \ref Tolerance for more details.
   255     ///See \ref lemon::Tolerance "Tolerance" for more details.
   256 
   256 
   257     ///@{
   257     ///@{
   258 
   258 
   259     ///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
   260     static bool less(Value a,Value b) { return a<b;}
   260     static bool less(Value a,Value b) { return a<b;}
   273     static Value zero() {return 0;}
   273     static Value zero() {return 0;}
   274   };
   274   };
   275 
   275 
   276   ///Unsigned integer specialization of Tolerance.
   276   ///Unsigned integer specialization of Tolerance.
   277 
   277 
   278   ///Unsigned integer specialization of \ref Tolerance.
   278   ///Unsigned integer specialization of Tolerance.
   279   ///\sa Tolerance
   279   ///\sa Tolerance
   280   template<>
   280   template<>
   281   class Tolerance<unsigned int>
   281   class Tolerance<unsigned int>
   282   {
   282   {
   283   public:
   283   public:
   284     ///\e
   284     ///\e
   285     typedef unsigned int Value;
   285     typedef unsigned int Value;
   286 
   286 
   287     ///\name Comparisons
   287     ///\name Comparisons
   288     ///See \ref Tolerance for more details.
   288     ///See \ref lemon::Tolerance "Tolerance" for more details.
   289 
   289 
   290     ///@{
   290     ///@{
   291 
   291 
   292     ///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
   293     static bool less(Value a,Value b) { return a<b;}
   293     static bool less(Value a,Value b) { return a<b;}
   317   public:
   317   public:
   318     ///\e
   318     ///\e
   319     typedef long int Value;
   319     typedef long int Value;
   320 
   320 
   321     ///\name Comparisons
   321     ///\name Comparisons
   322     ///See \ref Tolerance for more details.
   322     ///See \ref lemon::Tolerance "Tolerance" for more details.
   323 
   323 
   324     ///@{
   324     ///@{
   325 
   325 
   326     ///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
   327     static bool less(Value a,Value b) { return a<b;}
   327     static bool less(Value a,Value b) { return a<b;}
   340     static Value zero() {return 0;}
   340     static Value zero() {return 0;}
   341   };
   341   };
   342 
   342 
   343   ///Unsigned long integer specialization of Tolerance.
   343   ///Unsigned long integer specialization of Tolerance.
   344 
   344 
   345   ///Unsigned long integer specialization of \ref Tolerance.
   345   ///Unsigned long integer specialization of Tolerance.
   346   ///\sa Tolerance
   346   ///\sa Tolerance
   347   template<>
   347   template<>
   348   class Tolerance<unsigned long int>
   348   class Tolerance<unsigned long int>
   349   {
   349   {
   350   public:
   350   public:
   351     ///\e
   351     ///\e
   352     typedef unsigned long int Value;
   352     typedef unsigned long int Value;
   353 
   353 
   354     ///\name Comparisons
   354     ///\name Comparisons
   355     ///See \ref Tolerance for more details.
   355     ///See \ref lemon::Tolerance "Tolerance" for more details.
   356 
   356 
   357     ///@{
   357     ///@{
   358 
   358 
   359     ///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
   360     static bool less(Value a,Value b) { return a<b;}
   360     static bool less(Value a,Value b) { return a<b;}
   375 
   375 
   376 #if defined __GNUC__ && !defined __STRICT_ANSI__
   376 #if defined __GNUC__ && !defined __STRICT_ANSI__
   377 
   377 
   378   ///Long long integer specialization of Tolerance.
   378   ///Long long integer specialization of Tolerance.
   379 
   379 
   380   ///Long long integer specialization of \ref Tolerance.
   380   ///Long long integer specialization of Tolerance.
   381   ///\warning This class (more exactly, type <tt>long long</tt>)
   381   ///\warning This class (more exactly, type <tt>long long</tt>)
   382   ///is not ansi compatible.
   382   ///is not ansi compatible.
   383   ///\sa Tolerance
   383   ///\sa Tolerance
   384   template<>
   384   template<>
   385   class Tolerance<long long int>
   385   class Tolerance<long long int>
   387   public:
   387   public:
   388     ///\e
   388     ///\e
   389     typedef long long int Value;
   389     typedef long long int Value;
   390 
   390 
   391     ///\name Comparisons
   391     ///\name Comparisons
   392     ///See \ref Tolerance for more details.
   392     ///See \ref lemon::Tolerance "Tolerance" for more details.
   393 
   393 
   394     ///@{
   394     ///@{
   395 
   395 
   396     ///Returns \c true if \c a is \e surely strictly less than \c b
   396     ///Returns \c true if \c a is \e surely strictly less than \c b
   397     static bool less(Value a,Value b) { return a<b;}
   397     static bool less(Value a,Value b) { return a<b;}
   410     static Value zero() {return 0;}
   410     static Value zero() {return 0;}
   411   };
   411   };
   412 
   412 
   413   ///Unsigned long long integer specialization of Tolerance.
   413   ///Unsigned long long integer specialization of Tolerance.
   414 
   414 
   415   ///Unsigned long long integer specialization of \ref Tolerance.
   415   ///Unsigned long long integer specialization of Tolerance.
   416   ///\warning This class (more exactly, type <tt>unsigned long long</tt>)
   416   ///\warning This class (more exactly, type <tt>unsigned long long</tt>)
   417   ///is not ansi compatible.
   417   ///is not ansi compatible.
   418   ///\sa Tolerance
   418   ///\sa Tolerance
   419   template<>
   419   template<>
   420   class Tolerance<unsigned long long int>
   420   class Tolerance<unsigned long long int>
   422   public:
   422   public:
   423     ///\e
   423     ///\e
   424     typedef unsigned long long int Value;
   424     typedef unsigned long long int Value;
   425 
   425 
   426     ///\name Comparisons
   426     ///\name Comparisons
   427     ///See \ref Tolerance for more details.
   427     ///See \ref lemon::Tolerance "Tolerance" for more details.
   428 
   428 
   429     ///@{
   429     ///@{
   430 
   430 
   431     ///Returns \c true if \c a is \e surely strictly less than \c b
   431     ///Returns \c true if \c a is \e surely strictly less than \c b
   432     static bool less(Value a,Value b) { return a<b;}
   432     static bool less(Value a,Value b) { return a<b;}