mid point using reverse iterators - c++

palindromes implementation using reverse iterators
the error in code is of "operator /", is not defined for iterators
bool isPalindrome( std::string & s)
{
bool check = ( s == std::string{ s.rbegin(), s.rend() } );
return check; // works fine
}
in above there are n comparisons. ( n=s.length )
s == string{ s.rbegin(), s.rbegin() + (s.rend()/2) }
/* error: operator/ not defined */
I'm expecting a one or two lines of code for palindrome check with floor(n/2) comparisons.
Is there an elegant code. Am I missing something about reverse iterators?
and input of std::string{"cac"} should return true and should require 1 comparison
How to get mid-point in O(1) time, using reverse iterators

Dividing an iterator by a number does not really make sense. What you can do is obtain an iterator that is advanced half way the length of the container like this:
string{s.rbegin(), std::next(s.rbegin(), s.size() / 2)}
std::next obtains the iterator after incrementing it the supplied number of times.
This is only going to be efficient O(1) for contiguous containers like std::vector, std::array and std::string.

You are confusing something that references an element with the index of that element. Just think about what s.rend()/2 is supposed to mean. What you actually want is some difference between two indices divided by 2.
Given two iterators you can get their distance via std::distance.

Related

Finding length of range in C++

I have defied a range and I need to find the number of elements in it. My current code is
size_t c = 0;
for(auto elem : range){
c++;
}
return c;
However, the compiler is whining about the unused variable elem and I can't get rid of it. I though of using something like
std::count_if(range.begin(), range.end(), [](type elem){return ture;});
But I feel it is an overkill and it does not seem right.
I am wondering if there is a nicer systematic way of achieving this without defining an extra variable?
If (for some reason) your range doesn't have a size() member function, you can use std::distance. This should always work since a range is required to have a begin and end iterator.
std::distance(cbegin(range), cend(range));
You can use std::distance like
std::distance(range.begin(), range.end());
Returns the number of hops from first to last.
And note the complexity:
Complexity
Linear.
However, if InputIt additionally meets the requirements of
LegacyRandomAccessIterator,
complexity is constant.
In C++ all the containers implement size method of a constant complexity so if by range you consider a container then there is no need for reinventing the wheel.
However, you can also use std::distance if you want to determine the number of elements from a certain range like:
std::vector<int> v{ 3, 1, 4 };
std::cout << std::distance(v.begin(), v.end() << std::endl; // 3
If you take a look at the possible implementation of std::distance, it is something like
while (first != last) {
++first;
++n;
}
where first and the last are start and end point of you range, and n is a simple counter.

why doesn't std::remove_copy_if() actually remove?

Could this be the worst named function in the STL? (rhetorical question)
std::remove_copy_if() doesn't actually appear to do any removing. As best I can tell, it behaves more like copy_if_not.
The negation is a bit confusing, but can be worked around with std::not1(), however I might be misunderstanding something as I cannot fathom what this function has to do with removing - am I missing something?
If not, is there an STL algorithm for conditionally removing (moving?) elements from a container & putting them in another container?
Editing to add an example so readers are less confused.
The following program appears to leave the input range (V1) untouched:
#include <vector>
#include <iostream>
#include <algorithm>
#include <iterator>
using std::cout;
using std::endl;
int main (void)
{
std::vector<int> V1, V2;
V1.push_back(-2);
V1.push_back(0);
V1.push_back(-1);
V1.push_back(0);
V1.push_back(1);
V1.push_back(2);
std::copy(V1.begin(), V1.end(), std::ostream_iterator<int>(cout, " "));
cout << endl;
std::remove_copy_if(
V1.begin(),
V1.end(),
std::back_inserter(V2),
std::bind2nd(std::less<int>(), 0));
std::copy(V2.begin(), V2.end(), std::ostream_iterator<int>(cout, " "));
cout << endl;
std::copy(V1.begin(), V1.end(), std::ostream_iterator<int>(cout, " "));
cout << endl;
}
It outputs:
-2 0 -1 0 1 2
0 0 1 2
-2 0 -1 0 1 2
I was expecting so see something like:
-2 0 -1 0 1 2
0 0 1 2
0 0 1 2 ? ? ?
Where ? could be any value. But I was surprised to see that the input range was untouched, & that the return value is not able to be used with (in this case) std::vector::erase(). (The return value is an output iterator.)
Could this be the worst named function in the STL?
A bit of background information: in the standard library (or the original STL), there are three concepts, the containers, the iterators into those containers and algorithms that are applied to the iterators. Iterators serve as a cursor and accessor into the elements of a range but do not have a reference to the container (as mentioned before, there might not even be an underlying container).
This separation has the nice feature that you can apply algorithms to ranges of elements that do not belong to a container (consider iterator adaptors like std::istream_iterator or std::ostream_iterator) or that, belonging to a container do not consider all elements (std::sort( v.begin(), v.begin()+v.size()/2 ) to short the first half of the container).
The negative side is that, because the algorithm (and the iterator) don't really know of the container, they cannot really modify it, they can only modify the stored elements (which is what they can access). Mutating algorithms, like std::remove or std::remove_if work on this premise: they overwrite elements that don't match the condition effectively removing them from the container, but they do not modify the container, only the contained values, that is up to the caller in a second step of the erase-remove idiom:
v.erase( std::remove_if( v.begin(), v.end(), pred ),
v.end() );
Further more, for mutating algorithms (those that perform changes), like std::remove there is a non-mutating version named by adding copy to the name: std::remove_copy_if. None of the XXXcopyYYY algorithms are considered to change the input sequence (although they can if you use aliasing iterators).
While this is really no excuse for the naming of std::remove_copy_if, I hope that it helps understanding what an algorithm does given its name: remove_if will modify contents of the range and yield a range for which all elements that match the predicate have been removed (the returned range is that formed by the first argument to the algorithm to the returned iterator). std::remove_copy_if does the same, but rather than modifying the underlying sequence, it creates a copy of the sequence in which those elements matching the predicate have been removed. That is, all *copy* algorithms are equivalent to copy and then apply the original algorithm (note that the equivalence is logical, std::remove_copy_if only requires an OutputIterator, which means that it could not possibly copy and then walk the copied range applying std::remove_if.
The same line of reasoning can be applied to other mutating algorithms: reverse reverses the values (remember, iterators don't access the container) in the range, reverse_copy copies the elements in the range to separate range in the reverse order.
If not, is there an STL algorithm for conditionally removing (moving?) elements from a container & putting them in another container?
There is no such algorithm in the STL, but it could be easily implementable:
template <typename FIterator, typename OIterator, typename Pred>
FIterator splice_if( FIterator first, FIterator last, OIterator out, Pred p )
{
FIterator result = first;
for ( ; first != last; ++first ) {
if ( p( *first ) ) {
*result++ = *first;
} else {
*out++ = *first;
}
}
return result;
}
is there an STL algorithm for conditionally removing (moving?) elements from a container & putting them in another container?
The closest thing I can think of is std::stable_partition:
std::vector<int> v;
// ...
auto it = std::stable_partition(v.begin(), v.end(), pick_the_good_elements);
std::vector<int> w(std::make_move_iter(it), std::make_move_iter(v.end()));
v.erase(it, v.end());
Now v will contain the "good" elements, and w will contain the "bad" elements.
If not, is there an STL algorithm for conditionally removing (moving?) elements from a container & putting them in another container?
Not really. The idea is that the modifying algorithms are allowed to "move" (not in the C++ sense of the word) elements in a container around but cannot change the length of the container. So the remove algorithms could be called prepare_for_removal.
By the way, C++11 provides std::copy_if, which allows you to copy selected elements from one container to another without playing funny logic games with remove_copy_if.
You are right, that is what it does... std::remove_copy_if copies the vector, removing anything that matches the pred.
std::remove_if ... removes on condition (or rather, shuffles things around).
I agree that remove is not the best name for this family of functions.
But as Luc said, there's a reason for it working the way it does, and the GoTW item that he mentions explains how it works. remove_if works exactly the same way as remove - which is what you would expect.
You might also want to read this Wikibooks article.

How can I check if this is last member of std::list?

I have a list like below
typedef std::list<std::string> SegmentValue;
then in a iteration I need check if this is last iteration.
for(Field::SegmentValue::const_iterator it = m_segmentValue.begin();It !=
m_segmentValue.end();It++){
if((segIt + 1) == m_segmentValue.end())//last iteration
...
}
but I get error in compile that:
error C2678: binary '+' : no operator found which takes a left-hand operand of type 'std::list<_Ty>::_Const_iterator<_Secure_validation>'
how I can check if this is last itration?
You can't use binary + and - operators with std::list iterators. std::list iterators are bidirectional iterators, but they are not random access iterators, meaning that you can't shift them by an arbitrary constant value.
Use unary ++ and -- instead
Field::SegmentValue::const_iterator it_last = m_segmentValue.end();
--it_last;
Now it_last is the last element iterator. Just make sure it remains valid. If you are not making any iterator-invalidating modifications to your container, you can pre-compute it_last and use it in the cycle. Otherwise, you'll have to re-compute it as necessary.
In fact, in generic algorithms it is always a good idea to prefer using -- and ++ with iterators whenever possible (instead of binary + 1 and - 1), since it reduces your algorithm's requirements: binary + and - require random access iterators, while ++ and -- work with bidirectional ones.
Use std::next:
if (std::next(segIt) == m_segmentValue.end()) ...
If you're using C++03, you can easily write next yourself:
template<typename T> T next(T it, typename std::iterator_traits<T>::difference_type n = 1) {
std::advance(it, n);
return it;
}
Something like this perhaps:
Field::SegmentValue::const_iterator last = m_segmentValue.end()
--last;
for(Field::SegmentValue::const_iterator it = m_segmentValue.begin();
It != m_segmentValue.end();
It++) {
if(It == last) {
// last iteration
}
}
You can only do arithmetic with Random Access Iterators. std::list's iterators are Bidirectional.
See here for what you can and cannot do with iterators of various categories.
Try this:
Field::SegmentValue::const_iterator next = it; ++next;
// or in C++11:
// Field::SegmentValue::const_iterator next = std::next( it );
if( next == m_segmentValue.end()) //last iteration
List iterators are Bidirectional, not RandomAccess so they don't support operator+.
std::list iterator are not random access, they are bidirectional. The operator+ is not supported. You need to use std::vector to do something like that.
How about:
if ( &*it == &*(m_segmentValue.rbegin()))
i.e, comparing the addresses of the segments.

C++ Standard Library approach to removing one of a pair of items in a list that satisfy a criterion

Imagine you have an std::list with a set of values in it. For demonstration's sake, we'll say it's just std::list<int>, but in my case they're actually 2D points. Anyway, I want to remove one of a pair of ints (or points) which satisfy some sort of distance criterion. My question is how to approach this as an iteration that doesn't do more than O(N^2) operations.
Example
Source is a list of ints containing:
{ 16, 2, 5, 10, 15, 1, 20 }
If I gave this a distance criterion of 1 (i.e. no item in the list should be within 1 of any other), I'd like to produce the following output:
{ 16, 2, 5, 10, 20 } if I iterated forward or
{ 20, 1, 15, 10, 5 } if I iterated backward
I feel that there must be some awesome way to do this, but I'm stuck with this double loop of iterators and trying to erase items while iterating through the list.
Make a map of "regions", basically, a std::map<coordinates/len, std::vector<point>>.
Add each point to it's region, and each of the 8 neighboring regions O(N*logN). Run the "nieve" algorithm on each of these smaller lists (technically O(N^2) unless theres a maximum density, then it becomes O(N*density)). Finally: On your origional list, iterate through each point, and if it has been removed from any of the 8 mini-lists it was put in, remove it from the list. O(n)
With no limit on density, this is O(N^2), and slow. But this gets faster and faster the more spread out the points are. If the points are somewhat evenly distributed in a known boundary, you can switch to a two dimensional array, making this significantly faster, and if there's a constant limit to the density, that technically makes this a O(N) algorithm.
That is how you sort a list of two variables by the way. The grid/map/2dvector thing.
[EDIT] You mentioned you were having trouble with the "nieve" method too, so here's that:
template<class iterator, class criterion>
iterator RemoveCriterion(iterator begin, iterator end, criterion criter) {
iterator actend = end;
for(iterator L=begin; L != actend; ++L) {
iterator R(L);
for(++R; R != actend;) {
if (criter(*L, *R) {
iterator N(R);
std::rotate(R, ++N, actend);
--actend;
} else
++R;
}
}
return actend;
}
This should work on linked lists, vectors, and similar containers, and works in reverse. Unfortunately, it's kinda slow due to not taking into account the properties of linked lists. It's possible to make much faster versions that only work on linked lists in a specific direction. Note that the return value is important, like with the other mutating algorithms. It can only alter contents of the container, not the container itself, so you'll have to erase all elements after the return value when it finishes.
Cubbi had the best answer, though he deleted it for some reason:
Sounds like it's a sorted list, in which case std::unique will do the job of removing the second element of each pair:
#include <list>
#include <algorithm>
#include <iostream>
#include <iterator>
int main()
{
std::list<int> data = {1,2,5,10,15,16,20};
std::unique_copy(data.begin(), data.end(),
std::ostream_iterator<int>(std::cout, " "),
[](int n, int m){return abs(n-m)<=1;});
std::cout << '\n';
}
demo: https://ideone.com/OnGxk
That trivially extends to other types -- either by changing int to something else, or by defining a template:
template<typename T> void remove_close(std::list<T> &data, int distance)
{
std::unique_copy(data.begin(), data.end(),
std::ostream_iterator<int>(std::cout, " "),
[distance](T n, T m){return abs(n-m)<=distance;});
return data;
}
Which will work for any type that defines operator - and abs to allow finding a distance between two objects.
As a mathematician I am pretty sure there is no 'awesome' way to approaching this problem for an unsorted list. It seems to me that it is a logical necessity to check the criterion for any one element against all previous elements selected in order to determine whether insertion is viable or not. There may be a number of ways to optimize this, depending on the size of the list and the criterion.
Perhaps you could maintain a bitset based on the criterion. E.g. suppose abs(n-m)<1) is the criterion. Suppose the first element is of size 5. This is carried over into the new list. So flip bitset[5] to 1. Then, when you encounter an element of size 6, say, you need only test
!( bitset[5] | bitset[6] | bitset[7])
This would ensure no element is within magnitude 1 of the resulting list. This idea may be difficult to extend for more complicated(non discrete) criterions however.
What about:
struct IsNeighbour : public std::binary_function<int,int,bool>
{
IsNeighbour(int dist)
: distance(dist) {}
bool operator()(int a, int b) const
{ return abs(a-b) <= distance; }
int distance;
};
std::list<int>::iterator iter = lst.begin();
while(iter != lst.end())
{
iter = std::adjacent_find(iter, lst.end(), IsNeighbour(some_distance)));
if(iter != lst.end())
iter = lst.erase(iter);
}
This should have O(n). It searches for the first pair of neighbours (which are at maximum some_distance away from each other) and removes the first of this pair. This is repeated (starting from the found item and not from the beginning, of course) until no pairs are found anymore.
EDIT: Oh sorry, you said any other and not just its next element. In this case the above algorithm only works for a sorted list. So you should sort it first, if neccessary.
You can also use std::unique instead of this custom loop above:
lst.erase(std::unique(lst.begin(), lst.end(), IsNeighbour(some_distance), lst.end());
but this removes the second item of each equal pair, and not the first, so you may have to reverse the iteration direction if this matters.
For 2D points instead of ints (1D points) it is not that easy, as you cannot just sort them by their euclidean distance. So if your real problem is to do it on 2D points, you might rephrase the question to point that out more clearly and remove the oversimplified int example.
I think this will work, as long as you don't mind making copies of the data, but if it's just a pair of integer/floats, that should be pretty low-cost. You're making n^2 comparisons, but you're using std::algorithm and can declare the input vector const.
//calculates the distance between two points and returns true if said distance is
//under its threshold
bool isTooClose(const Point& lhs, const Point& rhs, int threshold = 1);
vector<Point>& vec; //the original vector, passed in
vector<Point>& out; //the output vector, returned however you like
for(b = vec.begin(), e = vec.end(); b != e; b++) {
Point& candidate = *b;
if(find_if(out.begin(),
out.end(),
bind1st(isTooClose, candidate)) == out.end())
{//we didn't find anyone too close to us in the output vector. Let's add!
out.push_back(candidate);
}
}
std::list<>.erase(remove_if(...)) using functors
http://en.wikipedia.org/wiki/Erase-remove_idiom
Update(added code):
struct IsNeighbour : public std::unary_function<int,bool>
{
IsNeighbour(int dist)
: m_distance(dist), m_old_value(0){}
bool operator()(int a)
{
bool result = abs(a-m_old_value) <= m_distance;
m_old_value = a;
return result;
}
int m_distance;
int m_old_value;
};
main function...
std::list<int> data = {1,2,5,10,15,16,20};
data.erase(std::remove_if(data.begin(), data.end(), IsNeighbour(1)), data.end());

C++ equivalent of Python difference_update?

s1 and s2 are sets (Python set or C++ std::set)
To add the elements of s2 to s1 (set union), you can do
Python: s1.update(s2)
C++: s1.insert(s2.begin(), s2.end());
To remove the elements of s2 from s1 (set difference), you can do
Python: s1.difference_update(s2)
What is the C++ equivalent of this? The code
s1.erase(s2.begin(), s2.end());
does not work, for s1.erase() requires iterators from s1.The code
std::set<T> s3;
std::set_difference(s1.begin(), s1.end(), s2.begin(), s2.end(), std::inserter(s3, s3.end());
s1.swap(s3);
works, but seems overly complex, at least compared with Python.
Is there a simpler way?
Using std::set_difference is the idiomatic way to do this in C++. You have stumbled across one of the primary differences (pun intended) between C++/STL and many other languages. STL does not bundle operations directly with the data structures. This is why std::set does not implement a difference routine.
Basically, algorithms such as std::set_difference write the result of the operation to another object. It is interesting to note that the algorithm does not require that either or both of the operands are actually std::set. The definition of the algorithm is:
Effects: Copies the elements of the range [first1, last1) which are not present in the range [first2, last2) to the range beginning at result. The elements in the constructed range are sorted.
Requires: The resulting range shall not overlap with either of the original ranges. Input ranges are required to be order by the same operator<.
Returns: The end of the constructed range.
Complexity: At most 2 * ((last1 - first1) + (last2 - first2)) - 1 comparisons
The interesting difference is that the C++ version is applicable to any two sorted ranges. In most languages, you are forced to coerce or translate the calling object (left-hand operand) into a set before you have access to the set difference algorithm.
This is not really pertinent to your question, but this is the reason that the various set algorithms are modeled as free-standing algorithms instead of member methods.
You should iterate through the second set:
for( set< T >::iterator iter = s2.begin(); iter != s2.end(); ++iter )
{
s1.erase( *iter );
}
This will could be cheaper than using std::set_difference - set_difference copies the unique objects into a new container, but it takes linear time, while .erase will not copy anything, but is O(n * log( n ) ).
In other words, depends on the container, you could choose the way, that will be faster for your case.
Thanks David Rodríguez - dribeas for the remark! (:
EDIT: Doh! I thought about BOOST_FOREACH at the very beginning, but I was wrong that it could not be used.. - you don't need the iterator, but just the value.. As user763305 said by himself/herself.
In c++ there is no difference method in the set. The set_difference looks much more awkward as it is more generic than applying a difference on two sets. Of course you can implement your own version of in place difference on sets:
template <typename T, typename Compare, typename Allocator>
void my_set_difference( std::set<T,Compare,Allocator>& lhs, std::set<T,Compare,Allocator> const & rhs )
{
typedef std::set<T,Comapre,Allocator> set_t;
typedef typename set_t::iterator iterator;
typedef typename set_t::const_iterator const_iterator;
const_iterator rit = rhs.begin(), rend = rhs.end();
iterator it = lhs.begin(), end = lhs.end();
while ( it != end && rit != rend )
{
if ( lhs.key_comp( *it, *rit ) ) {
++it;
} else if ( lhs.key_comp( *rit, *it ) ) {
++rit;
} else {
++rit;
lhs.erase( it++ );
}
}
}
The performance of this algorithm will be linear in the size of the arguments, and require no extra copies as it modifies the first argument in place.
You can also do it with remove_if writing your own functor for testing existence in a set, e.g.
std::remove_if(s1.begin(), s1.end(), ExistIn(s2));
I suppose that set_difference is more efficient though as it probably scans both sets only once
Python set is unordered, and is more of an equivalent of C++ std::unordered_set than std::set, which is ordered.
David Rodríguez's algorithm relies on the fact that std::set is ordered, so the lhs and rhs sets can be traversed in the way as exhibit in the algorithm.
For a more general solution that works for both ordered and unordered sets, Kiril Kirov's algorithm should be the safe one to adopt if you are enforcing/preserving the "unorderedness" nature of Python set.