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The header file clamp.hpp contains two functions for "clamping" a value between a pair of boundary values.
The function clamp (v, lo, hi)
returns:
Note: using clamp
with floating
point numbers may give unexpected results if one of the values is NaN
.
There is also a version that allows the caller to specify a comparison predicate
to use instead of operator <
.
template<typename T> const T& clamp ( const T& val, const T& lo, const T& hi ); template<typename T, typename Pred> const T& clamp ( const T& val, const T& lo, const T& hi, Pred p );
The following code:
int foo = 23; foo = clamp ( foo, 1, 10 );
will leave foo
with a value
of 10
Complexity: clamp
will make
either one or two calls to the comparison predicate before returning one
of the three parameters.
There are also four range-based versions of clamp, that apply clamping to
a series of values. You could write them yourself with std::transform and
bind, like this: std::transform ( first, last, out, bind
( clamp
( _1, lo,
hi )))
,
but they are provided here for your convenience.
template<typename InputIterator, typename OutputIterator> OutputIterator clamp_range ( InputIterator first, InputIterator last, OutputIterator out, typename std::iterator_traits<InputIterator>::value_type lo, typename std::iterator_traits<InputIterator>::value_type hi ); template<typename Range, typename OutputIterator> OutputIterator clamp_range ( const Range &r, OutputIterator out, typename std::iterator_traits<typename boost::range_iterator<const Range>::type>::value_type lo, typename std::iterator_traits<typename boost::range_iterator<const Range>::type>::value_type hi ); template<typename InputIterator, typename OutputIterator, typename Pred> OutputIterator clamp_range ( InputIterator first, InputIterator last, OutputIterator out, typename std::iterator_traits<InputIterator>::value_type lo, typename std::iterator_traits<InputIterator>::value_type hi, Pred p ); template<typename Range, typename OutputIterator, typename Pred> OutputIterator clamp_range ( const Range &r, OutputIterator out, typename std::iterator_traits<typename boost::range_iterator<const Range>::type>::value_type lo, typename std::iterator_traits<typename boost::range_iterator<const Range>::type>::value_type hi, Pred p );
The header file 'boost/algorithm/gather.hpp' contains two variants of a single
algorithm, gather
.
gather()
takes a collection of elements defined by a pair of iterators and moves the
ones satisfying a predicate to them to a position (called the pivot) within
the sequence. The algorithm is stable. The result is a pair of iterators
that contains the items that satisfy the predicate.
The function gather
returns
a std::pair
of iterators that denote the elements
that satisfy the predicate.
There are two versions; one takes two iterators, and the other takes a range.
namespace boost { namespace algorithm { template <typename BidirectionalIterator, typename Pred> std::pair<BidirectionalIterator,BidirectionalIterator> gather ( BidirectionalIterator first, BidirectionalIterator last, BidirectionalIterator pivot, Pred pred ); template <typename BidirectionalRange, typename Pred> std::pair<typename boost::range_iterator<const BidirectionalRange>::type, typename boost::range_iterator<const BidirectionalRange>::type> gather ( const BidirectionalRange &range, typename boost::range_iterator<const BidirectionalRange>::type pivot, Pred pred ); }}
Given an sequence containing:
0 1 2 3 4 5 6 7 8 9
a call to gather ( arr, arr + 10, arr + 4, IsEven ) will result in:
1 3 0 2 4 6 8 5 7 9 |---|-----| first | second pivot
where first
and second
are the fields of the pair that
is returned by the call.
gather
work on bidirectional
iterators or better. This requirement comes from the usage of stable_partition
, which requires bidirectional
iterators. Some standard libraries (libstdc++ and libc++, for example) have
implementations of stable_partition
that work with forward iterators. If that is the case, then gather
will work with forward iterators
as well.
gather
uses stable_partition
, which will attempt to
allocate temporary memory, but will work in-situ if there is none available.
If there is sufficient memory available, the run time is linear: O(N)
If there is not any memory available, then the run time is O(N
log N)
.
The header file 'boost/algorithm/hex.hpp'
contains three variants each of two algorithms, hex
and unhex
. They are inverse
algorithms; that is, one undoes the effort of the other. hex
takes a sequence of values, and turns them into hexadecimal characters.
unhex
takes a sequence of
hexadecimal characters, and outputs a sequence of values.
hex
and unhex
come from MySQL, where they are used in database queries and stored procedures.
The function hex
takes a
sequence of values and writes hexadecimal characters. There are three different
interfaces, differing only in how the input sequence is specified.
The first one takes an iterator pair. The second one takes a pointer to the start of a zero-terminated sequence, such as a c string, and the third takes a range as defined by the Boost.Range library.
template <typename InputIterator, typename OutputIterator> OutputIterator hex ( InputIterator first, InputIterator last, OutputIterator out ); template <typename T, typename OutputIterator> OutputIterator hex ( const T *ptr, OutputIterator out ); template <typename Range, typename OutputIterator> OutputIterator hex ( const Range &r, OutputIterator out );
hex
writes only values in
the range '0'..'9' and 'A'..'F', but is not limited to character output.
The output iterator could refer to a wstring, or a vector of integers, or
any other integral type.
The function unhex
takes
the output of hex
and turns
it back into a sequence of values.
The input parameters for the different variations of unhex
are the same as hex
.
template <typename InputIterator, typename OutputIterator> OutputIterator unhex ( InputIterator first, InputIterator last, OutputIterator out ); template <typename T, typename OutputIterator> OutputIterator unhex ( const T *ptr, OutputIterator out ); template <typename Range, typename OutputIterator> OutputIterator unhex ( const Range &r, OutputIterator out );
The header 'hex.hpp' defines three exception classes:
struct hex_decode_error: virtual boost::exception, virtual std::exception {}; struct not_enough_input : public hex_decode_error; struct non_hex_input : public hex_decode_error;
If the input to unhex
does
not contain an "even number" of hex digits, then an exception of
type boost::algorithm::not_enough_input
is thrown.
If the input to unhex
contains
any non-hexadecimal characters, then an exception of type boost::algorithm::non_hex_input
is thrown.
If you want to catch all the decoding errors, you can catch exceptions of
type boost::algorithm::hex_decode_error
.
Assuming that out
is an iterator
that accepts char
values, and
wout
accepts wchar_t
values (and that sizeof ( wchar_t
) == 2)
hex ( "abcdef", out ) --> "616263646566" hex ( "32", out ) --> "3332" hex ( "abcdef", wout ) --> "006100620063006400650066" hex ( "32", wout ) --> "00330032" unhex ( "616263646566", out ) --> "abcdef" unhex ( "3332", out ) --> "32" unhex ( "616263646566", wout ) --> "\6162\6364\6566" ( i.e, a 3 character string ) unhex ( "3332", wout ) --> "\3233" ( U+3332, SQUARE HUARADDO ) unhex ( "3", out ) --> Error - not enough input unhex ( "32", wout ) --> Error - not enough input unhex ( "ACEG", out ) --> Error - non-hex input
hex
and unhex
work on all iterator types.
All of the variants of hex
and unhex
run in O(N)
(linear) time; that is, that is, they process each element in the input sequence
once.
All of the variants of hex
and unhex
take their parameters
by value or const reference, and do not depend upon any global state. Therefore,
all the routines in this file provide the strong exception guarantee. However,
when working on input iterators, if an exception is thrown, the input iterators
will not be reset to their original values (i.e, the characters read from
the iterator cannot be un-read)
hex
and unhex
both do nothing when passed empty
ranges.
The header file 'is_palindrome.hpp' contains six variants of a single algorithm, is_palindrome. The algorithm tests the sequence and returns true if the sequence is a palindrome; i.e, it is identical when traversed either backwards or frontwards.
The routine is_palindrome
takes a sequence and, optionally, a predicate. It will return true if the
predicate returns true for tested elements by algorithm in the sequence.
The routine come in 6 forms; the first one takes two iterators to define the range. The second form takes two iterators to define the range and a predicate. The third form takes a single range parameter, and uses Boost.Range to traverse it. The fourth form takes a single range parameter ( uses Boost.Range to traverse it) and a predicate. The fifth form takes a single C-string and a predicate. The sixth form takes a single C-string.
The function is_palindrome
returns true if the predicate returns true any tested by algorithm items
in the sequence. There are six versions: 1) takes two iterators. 2) takes
two iterators and a predicate. 3) takes a range. 4) takes a range and a predicate.
5) takes a C-string and a predicate. 6) takes a C-string.
template<typename BidirectionalIterator> bool is_palindrome ( BidirectionalIterator begin, BidirectionalIterator end ); template<typename BidirectionalIterator, typename Predicate> bool is_palindrome ( BidirectionalIterator begin, BidirectionalIterator end, Predicate p ); template<typename Range> bool is_palindrome ( const Range &r ); template<typename Range, typename Predicate> bool is_palindrome ( const Range &r, Predicate p ); template<typename Predicate> bool is_palindrome ( const char* str, Predicate p ); bool is_palindrome(const char* str);
Given the containers: const std::list<int> empty, const std::vector<char> singleElement{'z'}, int oddNonPalindrome[] = {3,2,2}, const int oddPalindrome[] = {1,2,3,2,1}, const int evenPalindrome[] = {1,2,2,1}, int evenNonPalindrome[] = {1,4,8,8}, then
is_palindrome(empty)) --> true //empty range is_palindrome(singleElement)) --> true is_palindrome(std::begin(oddNonPalindrome), std::end(oddNonPalindrome))) --> false is_palindrome(std::begin(evenPalindrome), std::end(evenPalindrome))) --> true is_palindrome(empty.begin(), empty.end(), functorComparator())) --> true //empty range is_palindrome(std::begin(oddNonPalindrome), std::end(oddNonPalindrome), funcComparator<int>)) --> false is_palindrome(std::begin(oddPalindrome), std::end(oddPalindrome)) --> true is_palindrome(evenPalindrome, std::equal_to<int>())) --> true is_palindrome(std::begin(evenNonPalindrome), std::end(evenNonPalindrome)) --> false is_palindrome("a") --> true is_palindrome("aba", std::equal_to<char>()) --> true
is_palindrome
work on Bidirectional
and RandomAccess iterators.
All of the variants of is_palindrome
run in O(N) (linear) time; that is, they compare against
each element in the list once. If any of the comparisons not succeed, the
algorithm will terminate immediately, without examining the remaining members
of the sequence.
All of the variants of is_palindrome
take their parameters by value, const pointer or const reference, and do
not depend upon any global state. Therefore, all the routines in this file
provide the strong exception guarantee.
is_palindrome
returns
true for empty ranges, const char* null pointers and for single element
ranges.