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@@ -27,35 +27,35 @@
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///\todo It should be in a module like "Basic tools"
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namespace lemon {
|
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/// \addtogroup misc
|
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/// @{
|
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///\brief A class to provide a basic way to
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///handle the comparison of numbers that are obtained
|
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///as a result of a probably inexact computation.
|
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///
|
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///\ref Tolerance is a class to provide a basic way to
|
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///handle the comparison of numbers that are obtained
|
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///as a result of a probably inexact computation.
|
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///
|
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|
///This is an abstract class, it should be specialized for all numerical
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|
///data types. These specialized classes like \ref Tolerance<double>
|
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|
///may offer additional tuning parameters.
|
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///This is an abstract class, it should be specialized for all
|
|
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///numerical data types. These specialized classes like
|
|
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///Tolerance<double> may offer additional tuning parameters.
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///
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///\sa Tolerance<float>
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///\sa Tolerance<double>
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///\sa Tolerance<long double>
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///\sa Tolerance<int>
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///\sa Tolerance<long long int>
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///\sa Tolerance<unsigned int>
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///\sa Tolerance<unsigned long long int>
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template<class T>
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class Tolerance
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{
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public:
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typedef T Value;
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///\name Comparisons
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@@ -104,33 +104,33 @@
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///Constructor setting the epsilon tolerance to the default value.
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Tolerance() : _epsilon(def_epsilon) {}
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///Constructor setting the epsilon tolerance to the given value.
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Tolerance(float e) : _epsilon(e) {}
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///Returns the epsilon value.
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Value epsilon() const {return _epsilon;}
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///Sets the epsilon value.
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void epsilon(Value e) {_epsilon=e;}
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///Returns the default epsilon value.
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static Value defaultEpsilon() {return def_epsilon;}
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///Sets the default epsilon value.
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static void defaultEpsilon(Value e) {def_epsilon=e;}
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///\name Comparisons
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///See \ref Tolerance for more details.
|
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///See \ref lemon::Tolerance "Tolerance" for more details.
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///@{
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///Returns \c true if \c a is \e surely strictly less than \c b
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bool less(Value a,Value b) const {return a+_epsilon<b;}
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///Returns \c true if \c a is \e surely different from \c b
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bool different(Value a,Value b) const { return less(a,b)||less(b,a); }
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///Returns \c true if \c a is \e surely positive
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bool positive(Value a) const { return _epsilon<a; }
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///Returns \c true if \c a is \e surely negative
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bool negative(Value a) const { return -_epsilon>a; }
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///Returns \c true if \c a is \e surely non-zero
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bool nonZero(Value a) const { return positive(a)||negative(a); }
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|
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///@}
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|
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@@ -155,33 +155,33 @@
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///Constructor setting the epsilon tolerance to the default value.
|
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Tolerance() : _epsilon(def_epsilon) {}
|
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///Constructor setting the epsilon tolerance to the given value.
|
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Tolerance(double e) : _epsilon(e) {}
|
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|
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///Returns the epsilon value.
|
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Value epsilon() const {return _epsilon;}
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///Sets the epsilon value.
|
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void epsilon(Value e) {_epsilon=e;}
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///Returns the default epsilon value.
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static Value defaultEpsilon() {return def_epsilon;}
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///Sets the default epsilon value.
|
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static void defaultEpsilon(Value e) {def_epsilon=e;}
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169 |
|
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///\name Comparisons
|
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|
///See \ref Tolerance for more details.
|
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///See \ref lemon::Tolerance "Tolerance" for more details.
|
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|
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///@{
|
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///Returns \c true if \c a is \e surely strictly less than \c b
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bool less(Value a,Value b) const {return a+_epsilon<b;}
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///Returns \c true if \c a is \e surely different from \c b
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bool different(Value a,Value b) const { return less(a,b)||less(b,a); }
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///Returns \c true if \c a is \e surely positive
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bool positive(Value a) const { return _epsilon<a; }
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///Returns \c true if \c a is \e surely negative
|
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bool negative(Value a) const { return -_epsilon>a; }
|
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///Returns \c true if \c a is \e surely non-zero
|
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bool nonZero(Value a) const { return positive(a)||negative(a); }
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|
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///@}
|
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|
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... |
@@ -206,99 +206,99 @@
|
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///Constructor setting the epsilon tolerance to the default value.
|
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Tolerance() : _epsilon(def_epsilon) {}
|
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///Constructor setting the epsilon tolerance to the given value.
|
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209 |
Tolerance(long double e) : _epsilon(e) {}
|
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|
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///Returns the epsilon value.
|
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Value epsilon() const {return _epsilon;}
|
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///Sets the epsilon value.
|
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void epsilon(Value e) {_epsilon=e;}
|
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215 |
|
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///Returns the default epsilon value.
|
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static Value defaultEpsilon() {return def_epsilon;}
|
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///Sets the default epsilon value.
|
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static void defaultEpsilon(Value e) {def_epsilon=e;}
|
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|
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///\name Comparisons
|
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|
///See \ref Tolerance for more details.
|
|
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///See \ref lemon::Tolerance "Tolerance" for more details.
|
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|
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///@{
|
225 |
225 |
|
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///Returns \c true if \c a is \e surely strictly less than \c b
|
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bool less(Value a,Value b) const {return a+_epsilon<b;}
|
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///Returns \c true if \c a is \e surely different from \c b
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bool different(Value a,Value b) const { return less(a,b)||less(b,a); }
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///Returns \c true if \c a is \e surely positive
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bool positive(Value a) const { return _epsilon<a; }
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///Returns \c true if \c a is \e surely negative
|
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bool negative(Value a) const { return -_epsilon>a; }
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///Returns \c true if \c a is \e surely non-zero
|
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bool nonZero(Value a) const { return positive(a)||negative(a); }
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236 |
|
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///@}
|
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238 |
|
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///Returns zero
|
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240 |
static Value zero() {return 0;}
|
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241 |
};
|
242 |
242 |
|
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///Integer specialization of Tolerance.
|
244 |
244 |
|
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245 |
///Integer specialization of Tolerance.
|
246 |
246 |
///\sa Tolerance
|
247 |
247 |
template<>
|
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248 |
class Tolerance<int>
|
249 |
249 |
{
|
250 |
250 |
public:
|
251 |
251 |
///\e
|
252 |
252 |
typedef int Value;
|
253 |
253 |
|
254 |
254 |
///\name Comparisons
|
255 |
|
///See \ref Tolerance for more details.
|
|
255 |
///See \ref lemon::Tolerance "Tolerance" for more details.
|
256 |
256 |
|
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257 |
///@{
|
258 |
258 |
|
259 |
259 |
///Returns \c true if \c a is \e surely strictly less than \c b
|
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260 |
static bool less(Value a,Value b) { return a<b;}
|
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261 |
///Returns \c true if \c a is \e surely different from \c b
|
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262 |
static bool different(Value a,Value b) { return a!=b; }
|
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263 |
///Returns \c true if \c a is \e surely positive
|
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264 |
static bool positive(Value a) { return 0<a; }
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265 |
///Returns \c true if \c a is \e surely negative
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266 |
static bool negative(Value a) { return 0>a; }
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267 |
///Returns \c true if \c a is \e surely non-zero
|
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268 |
static bool nonZero(Value a) { return a!=0; }
|
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269 |
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270 |
///@}
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271 |
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272 |
///Returns zero
|
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273 |
static Value zero() {return 0;}
|
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274 |
};
|
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275 |
|
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276 |
///Unsigned integer specialization of Tolerance.
|
277 |
277 |
|
278 |
|
///Unsigned integer specialization of \ref Tolerance.
|
|
278 |
///Unsigned integer specialization of Tolerance.
|
279 |
279 |
///\sa Tolerance
|
280 |
280 |
template<>
|
281 |
281 |
class Tolerance<unsigned int>
|
282 |
282 |
{
|
283 |
283 |
public:
|
284 |
284 |
///\e
|
285 |
285 |
typedef unsigned int Value;
|
286 |
286 |
|
287 |
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 |
292 |
///Returns \c true if \c a is \e surely strictly less than \c b
|
293 |
293 |
static bool less(Value a,Value b) { return a<b;}
|
294 |
294 |
///Returns \c true if \c a is \e surely different from \c b
|
295 |
295 |
static bool different(Value a,Value b) { return a!=b; }
|
296 |
296 |
///Returns \c true if \c a is \e surely positive
|
297 |
297 |
static bool positive(Value a) { return 0<a; }
|
298 |
298 |
///Returns \c true if \c a is \e surely negative
|
299 |
299 |
static bool negative(Value) { return false; }
|
300 |
300 |
///Returns \c true if \c a is \e surely non-zero
|
301 |
301 |
static bool nonZero(Value a) { return a!=0; }
|
302 |
302 |
|
303 |
303 |
///@}
|
304 |
304 |
|
... |
... |
@@ -306,138 +306,138 @@
|
306 |
306 |
static Value zero() {return 0;}
|
307 |
307 |
};
|
308 |
308 |
|
309 |
309 |
|
310 |
310 |
///Long integer specialization of Tolerance.
|
311 |
311 |
|
312 |
312 |
///Long integer specialization of Tolerance.
|
313 |
313 |
///\sa Tolerance
|
314 |
314 |
template<>
|
315 |
315 |
class Tolerance<long int>
|
316 |
316 |
{
|
317 |
317 |
public:
|
318 |
318 |
///\e
|
319 |
319 |
typedef long int Value;
|
320 |
320 |
|
321 |
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 |
326 |
///Returns \c true if \c a is \e surely strictly less than \c b
|
327 |
327 |
static bool less(Value a,Value b) { return a<b;}
|
328 |
328 |
///Returns \c true if \c a is \e surely different from \c b
|
329 |
329 |
static bool different(Value a,Value b) { return a!=b; }
|
330 |
330 |
///Returns \c true if \c a is \e surely positive
|
331 |
331 |
static bool positive(Value a) { return 0<a; }
|
332 |
332 |
///Returns \c true if \c a is \e surely negative
|
333 |
333 |
static bool negative(Value a) { return 0>a; }
|
334 |
334 |
///Returns \c true if \c a is \e surely non-zero
|
335 |
335 |
static bool nonZero(Value a) { return a!=0;}
|
336 |
336 |
|
337 |
337 |
///@}
|
338 |
338 |
|
339 |
339 |
///Returns zero
|
340 |
340 |
static Value zero() {return 0;}
|
341 |
341 |
};
|
342 |
342 |
|
343 |
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 |
346 |
///\sa Tolerance
|
347 |
347 |
template<>
|
348 |
348 |
class Tolerance<unsigned long int>
|
349 |
349 |
{
|
350 |
350 |
public:
|
351 |
351 |
///\e
|
352 |
352 |
typedef unsigned long int Value;
|
353 |
353 |
|
354 |
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 |
359 |
///Returns \c true if \c a is \e surely strictly less than \c b
|
360 |
360 |
static bool less(Value a,Value b) { return a<b;}
|
361 |
361 |
///Returns \c true if \c a is \e surely different from \c b
|
362 |
362 |
static bool different(Value a,Value b) { return a!=b; }
|
363 |
363 |
///Returns \c true if \c a is \e surely positive
|
364 |
364 |
static bool positive(Value a) { return 0<a; }
|
365 |
365 |
///Returns \c true if \c a is \e surely negative
|
366 |
366 |
static bool negative(Value) { return false; }
|
367 |
367 |
///Returns \c true if \c a is \e surely non-zero
|
368 |
368 |
static bool nonZero(Value a) { return a!=0;}
|
369 |
369 |
|
370 |
370 |
///@}
|
371 |
371 |
|
372 |
372 |
///Returns zero
|
373 |
373 |
static Value zero() {return 0;}
|
374 |
374 |
};
|
375 |
375 |
|
376 |
376 |
#if defined __GNUC__ && !defined __STRICT_ANSI__
|
377 |
377 |
|
378 |
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 |
381 |
///\warning This class (more exactly, type <tt>long long</tt>)
|
382 |
382 |
///is not ansi compatible.
|
383 |
383 |
///\sa Tolerance
|
384 |
384 |
template<>
|
385 |
385 |
class Tolerance<long long int>
|
386 |
386 |
{
|
387 |
387 |
public:
|
388 |
388 |
///\e
|
389 |
389 |
typedef long long int Value;
|
390 |
390 |
|
391 |
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 |
396 |
///Returns \c true if \c a is \e surely strictly less than \c b
|
397 |
397 |
static bool less(Value a,Value b) { return a<b;}
|
398 |
398 |
///Returns \c true if \c a is \e surely different from \c b
|
399 |
399 |
static bool different(Value a,Value b) { return a!=b; }
|
400 |
400 |
///Returns \c true if \c a is \e surely positive
|
401 |
401 |
static bool positive(Value a) { return 0<a; }
|
402 |
402 |
///Returns \c true if \c a is \e surely negative
|
403 |
403 |
static bool negative(Value a) { return 0>a; }
|
404 |
404 |
///Returns \c true if \c a is \e surely non-zero
|
405 |
405 |
static bool nonZero(Value a) { return a!=0;}
|
406 |
406 |
|
407 |
407 |
///@}
|
408 |
408 |
|
409 |
409 |
///Returns zero
|
410 |
410 |
static Value zero() {return 0;}
|
411 |
411 |
};
|
412 |
412 |
|
413 |
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 |
416 |
///\warning This class (more exactly, type <tt>unsigned long long</tt>)
|
417 |
417 |
///is not ansi compatible.
|
418 |
418 |
///\sa Tolerance
|
419 |
419 |
template<>
|
420 |
420 |
class Tolerance<unsigned long long int>
|
421 |
421 |
{
|
422 |
422 |
public:
|
423 |
423 |
///\e
|
424 |
424 |
typedef unsigned long long int Value;
|
425 |
425 |
|
426 |
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 |
431 |
///Returns \c true if \c a is \e surely strictly less than \c b
|
432 |
432 |
static bool less(Value a,Value b) { return a<b;}
|
433 |
433 |
///Returns \c true if \c a is \e surely different from \c b
|
434 |
434 |
static bool different(Value a,Value b) { return a!=b; }
|
435 |
435 |
///Returns \c true if \c a is \e surely positive
|
436 |
436 |
static bool positive(Value a) { return 0<a; }
|
437 |
437 |
///Returns \c true if \c a is \e surely negative
|
438 |
438 |
static bool negative(Value) { return false; }
|
439 |
439 |
///Returns \c true if \c a is \e surely non-zero
|
440 |
440 |
static bool nonZero(Value a) { return a!=0;}
|
441 |
441 |
|
442 |
442 |
///@}
|
443 |
443 |
|