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//
ratio_test.cpp ----------------------------------------------------------//
//
Copyright 2008 Howard Hinnant
//
Copyright 2008 Beman Dawes
//
Distributed under the Boost Software License, Version 1.0.
//
See http://www.boost.org/LICENSE_1_0.txt
#
include
<
iostream
>
#
include
<
boost/ratio/ratio.hpp
>
#
include
"
duration.hpp
"
namespace
User1
{
//
Example type-safe "physics" code interoperating with chrono::duration types
//
and taking advantage of the std::ratio infrastructure and design philosophy.
//
length - mimics chrono::duration except restricts representation to double.
//
Uses boost::ratio facilities for length units conversions.
template
<
class
Ratio
>
class
length
{
public:
typedef
Ratio ratio;
private:
double
len_;
public:
length
() : len_(
1
) {}
length
(
const
double
& len) : len_(len) {}
//
conversions
template
<
class
R
>
length
(
const
length<R>& d)
: len_(d.count() * boost::ratio_divide<Ratio, R>::type::den /
boost::ratio_divide<Ratio, R>::type::num) {}
//
observer
double
count
()
const
{
return
len_;}
//
arithmetic
length&
operator
+=(
const
length& d) {len_ += d.
count
();
return
*
this
;}
length&
operator
-=(
const
length& d) {len_ -= d.
count
();
return
*
this
;}
length
operator
+()
const
{
return
*
this
;}
length
operator
-()
const
{
return
length
(-len_);}
length&
operator
*=(
double
rhs) {len_ *= rhs;
return
*
this
;}
length&
operator
/=(
double
rhs) {len_ /= rhs;
return
*
this
;}
};
//
Sparse sampling of length units
typedef
length<boost::ratio<
1
> > meter;
//
set meter as "unity"
typedef
length<boost::centi> centimeter;
//
1/100 meter
typedef
length<boost::kilo> kilometer;
//
1000 meters
typedef
length<boost::ratio<
254
,
10000
> > inch;
//
254/10000 meters
//
length takes ratio instead of two integral types so that definitions can be made like so:
typedef
length<boost::ratio_multiply<boost::ratio<
12
>, inch::ratio>::type> foot;
//
12 inchs
typedef
length<boost::ratio_multiply<boost::ratio<
5280
>, foot::ratio>::type> mile;
//
5280 feet
//
Need a floating point definition of seconds
typedef
boost_ex::chrono::duration<
double
> seconds;
//
unity
//
Demo of (scientific) support for sub-nanosecond resolutions
typedef
boost_ex::chrono::duration<
double
, boost::pico> picosecond;
//
10^-12 seconds
typedef
boost_ex::chrono::duration<
double
, boost::femto> femtosecond;
//
10^-15 seconds
typedef
boost_ex::chrono::duration<
double
, boost::atto> attosecond;
//
10^-18 seconds
//
A very brief proof-of-concept for SIUnits-like library
//
Hard-wired to floating point seconds and meters, but accepts other units (shown in testUser1())
template
<
class
R1
,
class
R2
>
class
quantity
{
double
q_;
public:
typedef
R1
time_dim;
typedef
R2
distance_dim;
quantity
() : q_(
1
) {}
double
get
()
const
{
return
q_;}
void
set
(
double
q) {q_ = q;}
};
template
<>
class
quantity
<boost::ratio<
1
>, boost::ratio<
0
> >
{
double
q_;
public:
quantity
() : q_(
1
) {}
quantity
(seconds d) : q_(d.count()) {}
//
note: only User1::seconds needed here
double
get
()
const
{
return
q_;}
void
set
(
double
q) {q_ = q;}
};
template
<>
class
quantity
<boost::ratio<
0
>, boost::ratio<
1
> >
{
double
q_;
public:
quantity
() : q_(
1
) {}
quantity
(meter d) : q_(d.count()) {}
//
note: only User1::meter needed here
double
get
()
const
{
return
q_;}
void
set
(
double
q) {q_ = q;}
};
template
<>
class
quantity
<boost::ratio<
0
>, boost::ratio<
0
> >
{
double
q_;
public:
quantity
() : q_(
1
) {}
quantity
(
double
d) : q_(d) {}
double
get
()
const
{
return
q_;}
void
set
(
double
q) {q_ = q;}
};
//
Example SI-Units
typedef
quantity<boost::ratio<
0
>, boost::ratio<
0
> > Scalar;
typedef
quantity<boost::ratio<
1
>, boost::ratio<
0
> > Time;
//
second
typedef
quantity<boost::ratio<
0
>, boost::ratio<
1
> > Distance;
//
meter
typedef
quantity<boost::ratio<-
1
>, boost::ratio<
1
> > Speed;
//
meter/second
typedef
quantity<boost::ratio<-
2
>, boost::ratio<
1
> > Acceleration;
//
meter/second^2
template
<
class
R1
,
class
R2
,
class
R3
,
class
R4
>
quantity<
typename
boost::ratio_subtract<
R1
,
R3
>::type,
typename
boost::ratio_subtract<
R2
,
R4
>::type>
operator
/(
const
quantity<
R1
,
R2
>& x,
const
quantity<
R3
,
R4
>& y)
{
typedef
quantity<
typename
boost::ratio_subtract<
R1
,
R3
>::type,
typename
boost::ratio_subtract<
R2
,
R4
>::type> R;
R r;
r.
set
(x.
get
() / y.
get
());
return
r;
}
template
<
class
R1
,
class
R2
,
class
R3
,
class
R4
>
quantity<
typename
boost::ratio_add<
R1
,
R3
>::type,
typename
boost::ratio_add<
R2
,
R4
>::type>
operator
*(
const
quantity<
R1
,
R2
>& x,
const
quantity<
R3
,
R4
>& y)
{
typedef
quantity<
typename
boost::ratio_add<
R1
,
R3
>::type,
typename
boost::ratio_add<
R2
,
R4
>::type> R;
R r;
r.
set
(x.
get
() * y.
get
());
return
r;
}
template
<
class
R1
,
class
R2
>
quantity<
R1
,
R2
>
operator
+(
const
quantity<
R1
,
R2
>& x,
const
quantity<
R1
,
R2
>& y)
{
typedef
quantity<
R1
,
R2
> R;
R r;
r.
set
(x.
get
() + y.
get
());
return
r;
}
template
<
class
R1
,
class
R2
>
quantity<
R1
,
R2
>
operator
-(
const
quantity<
R1
,
R2
>& x,
const
quantity<
R1
,
R2
>& y)
{
typedef
quantity<
R1
,
R2
> R;
R r;
r.
set
(x.
get
() - y.
get
());
return
r;
}
//
Example type-safe physics function
Distance
compute_distance
(Speed v0, Time t, Acceleration a)
{
return
v0 * t +
Scalar
(.
5
) * a * t * t;
//
if a units mistake is made here it won't compile
}
}
//
User1
//
Exercise example type-safe physics function and show interoperation
//
of custom time durations (User1::seconds) and standard time durations (std::hours).
//
Though input can be arbitrary (but type-safe) units, output is always in SI-units
//
(a limitation of the simplified Units lib demoed here).
int
main
()
{
//
~ typedef boost::ratio<8, BOOST_INTMAX_C(0x7FFFFFFFD)> R1;
//
~ typedef boost::ratio<3, BOOST_INTMAX_C(0x7FFFFFFFD)> R2;
typedef
User1::quantity<boost::ratio_subtract<boost::ratio<
0
>, boost::ratio<
1
> >::type,
boost::ratio_subtract<boost::ratio<
1
>, boost::ratio<
0
> >::type >
RR
;
//
~ typedef boost::ratio_subtract<R1, R2>::type RS;
//
~ std::cout << RS::num << '/' << RS::den << '\n';
std::cout <<
"
*************
\n
"
;
std::cout <<
"
* testUser1 *
\n
"
;
std::cout <<
"
*************
\n
"
;
User1::Distance
d
((
User1::mile
(
110
) ));
boost_ex::chrono::hours
h
((
2
));
User1::Time
t
(( h ));
//
~ boost_ex::chrono::seconds sss=boost_ex::chrono::duration_cast<boost_ex::chrono::seconds>(h);
//
~ User1::seconds sss((120));
//
~ User1::Time t(( sss ));
//
typedef User1::quantity<boost::ratio_subtract<User1::Distance::time_dim, User1::Time::time_dim >::type,
//
boost::ratio_subtract<User1::Distance::distance_dim, User1::Time::distance_dim >::type > R;
RR
r=d / t;
//
r.set(d.get() / t.get());
User1::Speed rc= r;
(
void
)rc;
User1::Speed s = d / t;
std::cout <<
"
Speed =
"
<< s.
get
() <<
"
meters/sec
\n
"
;
User1::Acceleration a =
User1::Distance
(
User1::foot
(
32.2
) ) /
User1::Time
() /
User1::Time
();
std::cout <<
"
Acceleration =
"
<< a.
get
() <<
"
meters/sec^2
\n
"
;
User1::Distance df =
compute_distance
(s,
User1::Time
(
User1::seconds
(
0.5
) ), a);
std::cout <<
"
Distance =
"
<< df.
get
() <<
"
meters
\n
"
;
std::cout <<
"
There are
"
<< User1::mile::ratio::den <<
'
/
'
<< User1::mile::ratio::num <<
"
miles/meter
"
;
User1::meter mt =
1
;
User1::mile mi = mt;
std::cout <<
"
which is approximately
"
<< mi.
count
() <<
'
\n
'
;
std::cout <<
"
There are
"
<< User1::mile::ratio::num <<
'
/
'
<< User1::mile::ratio::den <<
"
meters/mile
"
;
mi =
1
;
mt = mi;
std::cout <<
"
which is approximately
"
<< mt.
count
() <<
'
\n
'
;
User1::attosecond
as
(
1
);
User1::seconds sec = as;
std::cout <<
"
1 attosecond is
"
<< sec.
count
() <<
"
seconds
\n
"
;
std::cout <<
"
sec = as; // compiles
\n
"
;
sec =
User1::seconds
(
1
);
as = sec;
std::cout <<
"
1 second is
"
<< as.
count
() <<
"
attoseconds
\n
"
;
std::cout <<
"
as = sec; // compiles
\n
"
;
std::cout <<
"
\n
"
;
return
0
;
}
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