1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
|
// Boost.Units - A C++ library for zero-overhead dimensional analysis and
// unit/quantity manipulation and conversion
//
// Copyright (C) 2003-2008 Matthias Christian Schabel
// Copyright (C) 2008 Steven Watanabe
//
// Distributed under the Boost Software License, Version 1.0. (See
// accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
#ifndef BOOST_UNITS_MEASUREMENT_HPP
#define BOOST_UNITS_MEASUREMENT_HPP
#include <cmath>
#include <cstdlib>
#include <iomanip>
#include <iostream>
#include <boost/io/ios_state.hpp>
#include <boost/units/static_rational.hpp>
namespace boost {
namespace units {
namespace sqr_namespace /**/ {
template<class Y>
Y sqr(Y val)
{ return val*val; }
} // namespace
using sqr_namespace::sqr;
template<class Y>
class measurement
{
public:
typedef measurement<Y> this_type;
typedef Y value_type;
measurement(const value_type& val = value_type(),
const value_type& err = value_type()) :
value_(val),
uncertainty_(std::abs(err))
{ }
measurement(const this_type& source) :
value_(source.value_),
uncertainty_(source.uncertainty_)
{ }
//~measurement() { }
this_type& operator=(const this_type& source)
{
if (this == &source) return *this;
value_ = source.value_;
uncertainty_ = source.uncertainty_;
return *this;
}
operator value_type() const { return value_; }
value_type value() const { return value_; }
value_type uncertainty() const { return uncertainty_; }
value_type lower_bound() const { return value_-uncertainty_; }
value_type upper_bound() const { return value_+uncertainty_; }
this_type& operator+=(const value_type& val)
{
value_ += val;
return *this;
}
this_type& operator-=(const value_type& val)
{
value_ -= val;
return *this;
}
this_type& operator*=(const value_type& val)
{
value_ *= val;
uncertainty_ *= val;
return *this;
}
this_type& operator/=(const value_type& val)
{
value_ /= val;
uncertainty_ /= val;
return *this;
}
this_type& operator+=(const this_type& /*source*/);
this_type& operator-=(const this_type& /*source*/);
this_type& operator*=(const this_type& /*source*/);
this_type& operator/=(const this_type& /*source*/);
private:
value_type value_,
uncertainty_;
};
}
}
#if BOOST_UNITS_HAS_BOOST_TYPEOF
BOOST_TYPEOF_REGISTER_TEMPLATE(boost::units::measurement, 1)
#endif
namespace boost {
namespace units {
template<class Y>
inline
measurement<Y>&
measurement<Y>::operator+=(const this_type& source)
{
uncertainty_ = std::sqrt(sqr(uncertainty_)+sqr(source.uncertainty_));
value_ += source.value_;
return *this;
}
template<class Y>
inline
measurement<Y>&
measurement<Y>::operator-=(const this_type& source)
{
uncertainty_ = std::sqrt(sqr(uncertainty_)+sqr(source.uncertainty_));
value_ -= source.value_;
return *this;
}
template<class Y>
inline
measurement<Y>&
measurement<Y>::operator*=(const this_type& source)
{
uncertainty_ = (value_*source.value_)*
std::sqrt(sqr(uncertainty_/value_)+
sqr(source.uncertainty_/source.value_));
value_ *= source.value_;
return *this;
}
template<class Y>
inline
measurement<Y>&
measurement<Y>::operator/=(const this_type& source)
{
uncertainty_ = (value_/source.value_)*
std::sqrt(sqr(uncertainty_/value_)+
sqr(source.uncertainty_/source.value_));
value_ /= source.value_;
return *this;
}
// value_type op measurement
template<class Y>
inline
measurement<Y>
operator+(Y lhs,const measurement<Y>& rhs)
{
return (measurement<Y>(lhs,Y(0))+=rhs);
}
template<class Y>
inline
measurement<Y>
operator-(Y lhs,const measurement<Y>& rhs)
{
return (measurement<Y>(lhs,Y(0))-=rhs);
}
template<class Y>
inline
measurement<Y>
operator*(Y lhs,const measurement<Y>& rhs)
{
return (measurement<Y>(lhs,Y(0))*=rhs);
}
template<class Y>
inline
measurement<Y>
operator/(Y lhs,const measurement<Y>& rhs)
{
return (measurement<Y>(lhs,Y(0))/=rhs);
}
// measurement op value_type
template<class Y>
inline
measurement<Y>
operator+(const measurement<Y>& lhs,Y rhs)
{
return (measurement<Y>(lhs)+=measurement<Y>(rhs,Y(0)));
}
template<class Y>
inline
measurement<Y>
operator-(const measurement<Y>& lhs,Y rhs)
{
return (measurement<Y>(lhs)-=measurement<Y>(rhs,Y(0)));
}
template<class Y>
inline
measurement<Y>
operator*(const measurement<Y>& lhs,Y rhs)
{
return (measurement<Y>(lhs)*=measurement<Y>(rhs,Y(0)));
}
template<class Y>
inline
measurement<Y>
operator/(const measurement<Y>& lhs,Y rhs)
{
return (measurement<Y>(lhs)/=measurement<Y>(rhs,Y(0)));
}
// measurement op measurement
template<class Y>
inline
measurement<Y>
operator+(const measurement<Y>& lhs,const measurement<Y>& rhs)
{
return (measurement<Y>(lhs)+=rhs);
}
template<class Y>
inline
measurement<Y>
operator-(const measurement<Y>& lhs,const measurement<Y>& rhs)
{
return (measurement<Y>(lhs)-=rhs);
}
template<class Y>
inline
measurement<Y>
operator*(const measurement<Y>& lhs,const measurement<Y>& rhs)
{
return (measurement<Y>(lhs)*=rhs);
}
template<class Y>
inline
measurement<Y>
operator/(const measurement<Y>& lhs,const measurement<Y>& rhs)
{
return (measurement<Y>(lhs)/=rhs);
}
/// specialize power typeof helper
template<class Y,long N,long D>
struct power_typeof_helper<measurement<Y>,static_rational<N,D> >
{
typedef measurement<
typename power_typeof_helper<Y,static_rational<N,D> >::type
> type;
static type value(const measurement<Y>& x)
{
const static_rational<N,D> rat;
const Y m = Y(rat.numerator())/Y(rat.denominator()),
newval = std::pow(x.value(),m),
err = newval*std::sqrt(std::pow(m*x.uncertainty()/x.value(),2));
return type(newval,err);
}
};
/// specialize root typeof helper
template<class Y,long N,long D>
struct root_typeof_helper<measurement<Y>,static_rational<N,D> >
{
typedef measurement<
typename root_typeof_helper<Y,static_rational<N,D> >::type
> type;
static type value(const measurement<Y>& x)
{
const static_rational<N,D> rat;
const Y m = Y(rat.denominator())/Y(rat.numerator()),
newval = std::pow(x.value(),m),
err = newval*std::sqrt(std::pow(m*x.uncertainty()/x.value(),2));
return type(newval,err);
}
};
// stream output
template<class Y>
inline
std::ostream& operator<<(std::ostream& os,const measurement<Y>& val)
{
boost::io::ios_precision_saver precision_saver(os);
boost::io::ios_flags_saver flags_saver(os);
os << val.value() << "(+/-" << val.uncertainty() << ")";
return os;
}
} // namespace units
} // namespace boost
#endif // BOOST_UNITS_MEASUREMENT_HPP
|
