mirror of
https://github.com/bolero-MURAKAMI/Sprout
synced 2024-11-12 21:09:01 +00:00
87 lines
4.2 KiB
ReStructuredText
87 lines
4.2 KiB
ReStructuredText
.. _sprout-algorithm-tristate_lexicographical_compare:
|
|
###############################################################################
|
|
tristate_lexicographical_compare
|
|
###############################################################################
|
|
|
|
Interface
|
|
========================================
|
|
.. sourcecode:: c++
|
|
|
|
template<typename InputIterator1, typename InputIterator2>
|
|
inline SPROUT_CONSTEXPR int
|
|
tristate_lexicographical_compare(
|
|
InputIterator1 first1, InputIterator1 last1,
|
|
InputIterator2 first2, InputIterator2 last2
|
|
);
|
|
|
|
template<typename InputIterator1, typename InputIterator2, typename Compare>
|
|
inline SPROUT_CONSTEXPR int
|
|
tristate_lexicographical_compare(
|
|
InputIterator1 first1, InputIterator1 last1,
|
|
InputIterator2 first2, InputIterator2 last2,
|
|
Compare comp
|
|
);
|
|
|
|
// delimiter version
|
|
template<typename InputIterator1, typename T1, typename InputIterator2, typename T2>
|
|
inline SPROUT_CONSTEXPR int
|
|
tristate_lexicographical_compare(
|
|
InputIterator1 first1, InputIterator1 last1, T1 const& delim1,
|
|
InputIterator2 first2, InputIterator2 last2, T2 const& delim2
|
|
);
|
|
|
|
template<typename InputIterator1, typename T1, typename InputIterator2, typename T2, typename Compare>
|
|
inline SPROUT_CONSTEXPR int
|
|
tristate_lexicographical_compare(
|
|
InputIterator1 first1, InputIterator1 last1, T1 const& delim1,
|
|
InputIterator2 first2, InputIterator2 last2, T2 const& delim2,
|
|
Compare comp
|
|
);
|
|
|
|
Returns
|
|
========================================
|
|
|
|
| A value less than zero if the sequence of elements defined by the range [first1,last1) is lexicographically less than the sequence of elements defined by the range [first2,last2).
|
|
| Otherwise, a value greater than zero if the sequence of elements defined by the range [first1,last1) is lexicographically greater than the sequence of elements defined by the range [first2,last2).
|
|
| Otherwise, returns a zero value.
|
|
|
|
| If the delimiter version, last1 and last2 the following corresponding transformations: ``find_if(first1, last1, bind2nd(equiv(), delim1))`` and ``find_if(first2, last2, bind2nd(equiv(), delim2))``, ``find_if(first1, last1, bind2nd(equiv(comp), delim1))`` and ``find_if(first2, last2, bind2nd(equiv(comp), delim2))``.
|
|
|
|
Remarks
|
|
========================================
|
|
|
|
| If two sequences have the same number of elements and their corresponding elements are equivalent, then neither sequence is lexicographically less than the other.
|
|
| If one sequence is a prefix of the other, then the shorter sequence is lexicographically less than the longer sequence.
|
|
| Otherwise, the lexicographical comparison of the sequences yields the same result as the comparison of the first corresponding pair of elements that are not equivalent.
|
|
|
|
| An empty sequence is lexicographically less than any non-empty sequence, but not less than any empty sequence.
|
|
|
|
Examples
|
|
========================================
|
|
.. sourcecode:: c++
|
|
|
|
#include <sprout/algorithm/tristate_lexicographical_compare.hpp>
|
|
#include <sprout/array.hpp>
|
|
#include <sprout/container.hpp>
|
|
using namespace sprout;
|
|
|
|
SPROUT_STATIC_CONSTEXPR auto input1 = array<int, 10>{{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}};
|
|
SPROUT_STATIC_CONSTEXPR auto input2 = array<int, 10>{{1, 2, 3, 4, 5, 10, 9, 8, 7, 6}};
|
|
SPROUT_STATIC_CONSTEXPR auto result1 = sprout::tristate_lexicographical_compare(begin(input1), end(input1), begin(input2), end(input2));
|
|
SPROUT_STATIC_CONSTEXPR auto result2 = sprout::tristate_lexicographical_compare(begin(input1), end(input1), 10, begin(input2), end(input2), 10);
|
|
static_assert(result1 < 0, "input1 < input2 by lexicographical comparison.");
|
|
static_assert(result2 > 0, "input1 < input2 by lexicographical comparison(delimited by 10).");
|
|
|
|
Complexity
|
|
========================================
|
|
|
|
| At most ``2*min((last1 - first1), (last2 - first2)) + O(1)`` applications of the corresponding comparison.
|
|
| At most ``6*min((last1 - first1), (last2 - first2)) + O(1)`` applications of the corresponding comparison for delimiter version.
|
|
| Recursive function invocations in *O(logN)* (logarithmic) depth.
|
|
|
|
Header
|
|
========================================
|
|
|
|
| ``sprout/algorithm/tristate_lexicographical_compare.hpp``
|
|
| Convenience header: ``sprout/algorithm.hpp``
|
|
|