Dune Core Modules (2.9.0)

float_cmp.hh
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1// -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
2// vi: set et ts=4 sw=2 sts=2:
3// SPDX-FileCopyrightInfo: Copyright (C) DUNE Project contributors, see file LICENSE.md in module root
4// SPDX-License-Identifier: LicenseRef-GPL-2.0-only-with-DUNE-exception
5#ifndef DUNE_COMMON_FLOAT_CMP_HH
6#define DUNE_COMMON_FLOAT_CMP_HH
7
97namespace Dune {
100 namespace FloatCmp {
101 // basic constants
104 enum CmpStyle {
113 };
127 };
128
129 template<class T> struct EpsilonType;
130
132
137 template<class T, CmpStyle style = defaultCmpStyle>
140 static typename EpsilonType<T>::Type value();
141 };
142
143 // operations in functional style
144
147
149
156 template <class T, CmpStyle style /*= defaultCmpStyle*/>
157 bool eq(const T &first,
158 const T &second,
161
169 template <class T, CmpStyle style /*= defaultCmpStyle*/>
170 bool ne(const T &first,
171 const T &second,
174
185 template <class T, CmpStyle style /*= defaultCmpStyle*/>
186 bool gt(const T &first,
187 const T &second,
190
201 template <class T, CmpStyle style /*= defaultCmpStyle*/>
202 bool lt(const T &first,
203 const T &second,
206
217 template <class T, CmpStyle style /*= defaultCmpStyle*/>
218 bool ge(const T &first,
219 const T &second,
222
233 template <class T, CmpStyle style /*= defaultCmpStyle*/>
234 bool le(const T &first,
235 const T &second,
237
238 // rounding operations
240
253 template<class I, class T, CmpStyle cstyle /*= defaultCmpStyle*/, RoundingStyle rstyle /*= defaultRoundingStyle*/>
254 I round(const T &val, typename EpsilonType<T>::Type epsilon = DefaultEpsilon<T, cstyle>::value());
255 // truncation
257
270 template<class I, class T, CmpStyle cstyle /*= defaultCmpStyle*/, RoundingStyle rstyle /*= defaultRoundingStyle*/>
271 I trunc(const T &val, typename EpsilonType<T>::Type epsilon = DefaultEpsilon<T, cstyle>::value());
272
274 // group FloatCmp
275 } //namespace FloatCmp
276
277
278 // oo interface
280
286 template<class T, FloatCmp::CmpStyle cstyle_ = FloatCmp::defaultCmpStyle,
291
292 public:
293 // record template parameters
295 static const CmpStyle cstyle = cstyle_;
297 static const RoundingStyle rstyle = rstyle_;
299 typedef T ValueType;
301
305
306 private:
307 EpsilonType epsilon_;
308
310
311 public:
313
317
319 EpsilonType epsilon() const;
321 void epsilon(EpsilonType epsilon__);
322
324 bool eq(const ValueType &first, const ValueType &second) const;
326
329 bool ne(const ValueType &first, const ValueType &second) const;
331
335 bool gt(const ValueType &first, const ValueType &second) const;
337
341 bool lt(const ValueType &first, const ValueType &second) const;
343
347 bool ge(const ValueType &first, const ValueType &second) const;
349
353 bool le(const ValueType &first, const ValueType &second) const;
354
356
365 template<class I>
366 I round(const ValueType &val) const;
367
369
378 template<class I>
379 I trunc(const ValueType &val) const;
380
381 };
382
383} //namespace Dune
384
385#include "float_cmp.cc"
386
387#endif //DUNE_COMMON_FLOAT_CMP_HH
Class encapsulating a default epsilon.
Definition: float_cmp.hh:288
bool le(const ValueType &first, const ValueType &second) const
test if first lesser or equal second
Definition: float_cmp.cc:486
FloatCmpOps(EpsilonType epsilon=DefaultEpsilon::value())
construct an operations object
Definition: float_cmp.cc:431
bool eq(const ValueType &first, const ValueType &second) const
test for equality using epsilon
Definition: float_cmp.cc:451
static const CmpStyle cstyle
How comparisons are done.
Definition: float_cmp.hh:295
bool lt(const ValueType &first, const ValueType &second) const
test if first lesser than second
Definition: float_cmp.cc:472
bool ge(const ValueType &first, const ValueType &second) const
test if first greater or equal second
Definition: float_cmp.cc:479
static const RoundingStyle rstyle
How rounding is done.
Definition: float_cmp.hh:297
FloatCmp::EpsilonType< T >::Type EpsilonType
Type of the epsilon.
Definition: float_cmp.hh:304
bool ne(const ValueType &first, const ValueType &second) const
test for inequality using epsilon
Definition: float_cmp.cc:458
T ValueType
Type of the values to compare.
Definition: float_cmp.hh:299
EpsilonType epsilon() const
return the current epsilon
Definition: float_cmp.cc:436
I round(const ValueType &val) const
round using epsilon
Definition: float_cmp.cc:495
I trunc(const ValueType &val) const
truncate using epsilon
Definition: float_cmp.cc:503
bool gt(const ValueType &first, const ValueType &second) const
test if first greater than second
Definition: float_cmp.cc:465
bool ne(const T &first, const T &second, typename EpsilonType< T >::Type epsilon)
test for inequality using epsilon
Definition: float_cmp.cc:151
CmpStyle
Definition: float_cmp.hh:104
bool eq(const T &first, const T &second, typename EpsilonType< T >::Type epsilon)
test for equality using epsilon
Definition: float_cmp.cc:144
I round(const T &val, typename EpsilonType< T >::Type epsilon)
round using epsilon
Definition: float_cmp.cc:311
I trunc(const T &val, typename EpsilonType< T >::Type epsilon)
truncate using epsilon
Definition: float_cmp.cc:407
RoundingStyle
Definition: float_cmp.hh:116
bool lt(const T &first, const T &second, typename EpsilonType< T >::Type epsilon)
test if first lesser than second
Definition: float_cmp.cc:165
bool gt(const T &first, const T &second, typename EpsilonType< T >::Type epsilon)
test if first greater than second
Definition: float_cmp.cc:158
bool ge(const T &first, const T &second, typename EpsilonType< T >::Type epsilon)
test if first greater or equal second
Definition: float_cmp.cc:172
bool le(const T &first, const T &second, typename EpsilonType< T >::Type epsilon)
test if first lesser or equal second
Definition: float_cmp.cc:179
@ defaultCmpStyle
the global default compare style (relative_weak)
Definition: float_cmp.hh:112
@ relativeStrong
|a-b|/|a| <= epsilon && |a-b|/|b| <= epsilon
Definition: float_cmp.hh:108
@ relativeWeak
|a-b|/|a| <= epsilon || |a-b|/|b| <= epsilon
Definition: float_cmp.hh:106
@ absolute
|a-b| <= epsilon
Definition: float_cmp.hh:110
@ towardZero
always round toward 0
Definition: float_cmp.hh:118
@ towardInf
always round away from 0
Definition: float_cmp.hh:120
@ upward
round toward
Definition: float_cmp.hh:124
@ downward
round toward
Definition: float_cmp.hh:122
@ defaultRoundingStyle
the global default rounding style (toward_zero)
Definition: float_cmp.hh:126
Dune namespace.
Definition: alignedallocator.hh:13
mapping from a value type and a compare style to a default epsilon
Definition: float_cmp.hh:138
static EpsilonType< T >::Type value()
Returns the default epsilon for the given value type and compare style.
T Type
The epsilon type corresponding to value type T.
Definition: float_cmp.cc:25
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