...one of the most highly
regarded and expertly designed C++ library projects in the
world.
— Herb Sutter and Andrei
Alexandrescu, C++
Coding Standards
The easiest way to access to the library is by including the main header:
#include <boost/numeric/interval.hpp>
This header will include almost all the other headers (except the ones
listed as extensions). However, you may not want to access all the
functionalities of the library. So this page stands as a reminder for the
whole structure of the library.
<boost/numeric/interval.hpp>
is the only header to be
located directly under boost/numeric
; all the other headers
are located in the subdirectory boost/numeric/interval
. And
each time this documentation will refer to
interval/something.hpp
, it is
<boost/numeric/interval/something.hpp>
.
Please also note that all the following headers are independent and can easily be pre-compiled if necessary (for compilers which support pre-compiled headers of course).
The following headers contain the definition of the
interval
class and all the friendly functions and
operators.
interval/interval.hpp
This header contains the definition and the declaration of the
interval
class. However, this class is templated and the
default template parameters are not available by this header. In
particular, this header does not provide the default specialization of the
interval
class for the floating-point types
(interval<float>
, interval<double>
and interval<long double>
). So, unless you use your own
policies, this header is not really useful on its own.
interval/utility.hpp
In this header are all the functions that do not expect any arithmetic
property from the base number type. It only expects the bounds to be
ordered; but it should not surprise you since it is a requirement of the
whole library. You will find in this header the definitions of access and
related functions: lower
, upper
,
checked_lower
, checked_upper
,
median
, width
, widen
. There are also
the set-like functions: in,
zero_in
,
empty
, subset
, proper_subset
,
overlap
, singleton
, equal
,
intersect
, hull
, bisect
. Finally,
abs
, min
, and max
are defined.
interval/arith.hpp
Here are the binary operators +
, -
,
*
, /
and the unary operator -
.
interval/arith2.hpp
This header defines fmod
, square
,
sqrt
, pow
, and root
.
interval/arith3.hpp
The third arithmetic header: it provides the functions add
,
sub
, mul
, and div
. The type of their
arguments is the base number type.
interval/transc.hpp
It is the last of the headers with mathematical functions; it provides
the following functions: cos
, sin
,
tan
, acos
, asin
, atan
,
cosh
, sinh
, tanh
,
acosh
, asinh
, atanh
,
exp
, and log
.
The following headers define some policies. They may be needed if you use the default policies.
interval/rounded_arith.hpp
This header defines the three provided rounding policies for the
arithmetic functions: rounded_arith_std
,
rounded_arith_opp
, rounded_arith_exact
.
interval/rounded_transc.hpp
This header defines the three provided rounding policies for the
transcendental functions: rounded_transc_std
,
rounded_transc_opp
, rounded_transc_exact
. It is
separated from rounded_arith.hpp
since the transcendental part
of the rounding policy is probably less useful than the arithmetic
part.
interval/hw_rounding.hpp
Here are full rounding policies for the basic floating-point types. The policies are processor-dependent; and to allow the user code to be portable, they only define the common subset of the hardware available functions, which are the arithmetic functions of the rounding policy.
interval/checking.hpp
This header provides the predefined checking policies:
checking_base
, checking_no_empty
,
checking_no_nan
, checking_catch_nan
,
checking_strict
.
interval/policies.hpp
Here are defined the helpers for manipulating policies. It contains
policies
(and so is needed for using default policies),
change_rounding
, change_checking
,
unprotect
, etc.
interval/compare.hpp
This header includes all the following headers. They provide some predefined comparison namespaces.
interval/compare/certain.hpp
Here is compare::certain
.
interval/compare/possible.hpp
And here is its friend compare::possible
.
interval/compare/explicit.hpp
The explicit comparison functions cerlt
,
posge
, etc are defined in this header.
interval/compare/lexicographic.hpp
This header provides compare::lexicographic
.
interval/compare/set.hpp
This header provides compare::set
.
The following headers are not included by interval.hpp
and
will usually provide not always desirable capabilities.
interval/io.hpp
Here are defined basic stream operators <<
and
>>
. They should only be used as a first approach and
later be replaced by a customized version.
interval/limits.hpp
A specialization of std::numeric_limits
adapted to the
interval type.
interval/compare/tribool.hpp
This header provides a comparison namespace
compare::tribool
especially adapted to a tristate boolean.
interval/ext/integer.hpp
This header provides mixed operations between intervals and integers. It
is done by converting the integer to the base number type. Because this
comparison is not always correct (for a big int
may not be
exactly convertible to float
), this header is not
automatically included and the user should ensure that this behavior is
compatible with what she wants to do (if it is only to multiply some
intervals by 2, it probably is a good thing to include this header).
interval/ext/x86_fast_rounding_control.hpp
This header defines a new rounding policy allowing to workaround the precision problem of the x86 processors (and so speeding up the computations). However, it only is a partial solution and it shouldn't be used when there is a possibility of underflow or overflow.
Revised 2006-12-24
Copyright © 2002 Guillaume Melquiond, Sylvain Pion, Hervé
Brönnimann, Polytechnic University
Copyright © 2003-2006 Guillaume Melquiond, ENS Lyon
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)