What is the memory layout of vector of arrays?












25















can anybody explaine the memory layout of



std::vector<std::array<int, 5>> vec(2)


does it provide contiguous memory block of a 2D array
with 2 rows of 5 elements?



To my understanding, the vector of vectors



std::vector<std::vector<int>> vec(2, std::vector<int>(5))


provide the memory layout of two contiguous arrays of length 5 elements in different locations in memory.



Will it be the same for the vector of arrays?










share|improve this question

























  • Given the answers, if you want this, use std::vector<int> vec(5*2) and do 2D indexing yourself inside the flat 1D array. Maybe write a wrapper class for 2D indexing on top of a flat container, with either a templated or runtime-variable row length. You'd also want to expose a flat view so algorithms that just need to do something to every element without caring about 2D position can do that with one big loop, more efficiently.

    – Peter Cordes
    5 hours ago
















25















can anybody explaine the memory layout of



std::vector<std::array<int, 5>> vec(2)


does it provide contiguous memory block of a 2D array
with 2 rows of 5 elements?



To my understanding, the vector of vectors



std::vector<std::vector<int>> vec(2, std::vector<int>(5))


provide the memory layout of two contiguous arrays of length 5 elements in different locations in memory.



Will it be the same for the vector of arrays?










share|improve this question

























  • Given the answers, if you want this, use std::vector<int> vec(5*2) and do 2D indexing yourself inside the flat 1D array. Maybe write a wrapper class for 2D indexing on top of a flat container, with either a templated or runtime-variable row length. You'd also want to expose a flat view so algorithms that just need to do something to every element without caring about 2D position can do that with one big loop, more efficiently.

    – Peter Cordes
    5 hours ago














25












25








25


1






can anybody explaine the memory layout of



std::vector<std::array<int, 5>> vec(2)


does it provide contiguous memory block of a 2D array
with 2 rows of 5 elements?



To my understanding, the vector of vectors



std::vector<std::vector<int>> vec(2, std::vector<int>(5))


provide the memory layout of two contiguous arrays of length 5 elements in different locations in memory.



Will it be the same for the vector of arrays?










share|improve this question
















can anybody explaine the memory layout of



std::vector<std::array<int, 5>> vec(2)


does it provide contiguous memory block of a 2D array
with 2 rows of 5 elements?



To my understanding, the vector of vectors



std::vector<std::vector<int>> vec(2, std::vector<int>(5))


provide the memory layout of two contiguous arrays of length 5 elements in different locations in memory.



Will it be the same for the vector of arrays?







c++ c++11 language-lawyer stdvector stdarray






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 18 hours ago









Bathsheba

176k27251373




176k27251373










asked 18 hours ago









ConstConst

197111




197111













  • Given the answers, if you want this, use std::vector<int> vec(5*2) and do 2D indexing yourself inside the flat 1D array. Maybe write a wrapper class for 2D indexing on top of a flat container, with either a templated or runtime-variable row length. You'd also want to expose a flat view so algorithms that just need to do something to every element without caring about 2D position can do that with one big loop, more efficiently.

    – Peter Cordes
    5 hours ago



















  • Given the answers, if you want this, use std::vector<int> vec(5*2) and do 2D indexing yourself inside the flat 1D array. Maybe write a wrapper class for 2D indexing on top of a flat container, with either a templated or runtime-variable row length. You'd also want to expose a flat view so algorithms that just need to do something to every element without caring about 2D position can do that with one big loop, more efficiently.

    – Peter Cordes
    5 hours ago

















Given the answers, if you want this, use std::vector<int> vec(5*2) and do 2D indexing yourself inside the flat 1D array. Maybe write a wrapper class for 2D indexing on top of a flat container, with either a templated or runtime-variable row length. You'd also want to expose a flat view so algorithms that just need to do something to every element without caring about 2D position can do that with one big loop, more efficiently.

– Peter Cordes
5 hours ago





Given the answers, if you want this, use std::vector<int> vec(5*2) and do 2D indexing yourself inside the flat 1D array. Maybe write a wrapper class for 2D indexing on top of a flat container, with either a templated or runtime-variable row length. You'd also want to expose a flat view so algorithms that just need to do something to every element without caring about 2D position can do that with one big loop, more efficiently.

– Peter Cordes
5 hours ago












4 Answers
4






active

oldest

votes


















42














Arrays do not have any indirection, but just store their data "directly". That is, a std::array<int, 5> literally contains five ints in a row, flat. And, like vectors, they do not put padding between their elements, so they're "internally contiguous".



However, the std::array object itself may be larger than the set of its elements! It is permitted to have trailing "stuff" like padding. So, although likely, it is not necessarily true that your data will all be contiguous in the first case.



An int
+----+
| |
+----+

A vector of 2 x int
+----+----+----+-----+ +----+----+
| housekeeping | ptr | | 1 | 2 |
+----+----+----+-----+ +----+----+
| ^
-----------

An std::array<int, 5>
+----+----+----+----+----+----------->
| 1 | 2 | 3 | 4 | 5 | possible cruft/padding....
+----+----+----+----+----+----------->

A vector of 2 x std::array<int, 5>
+----+----+----+-----+ +----+----+----+----+----+----------------------------+----+----+----+----+----+----------->
| housekeeping | ptr | | 1 | 2 | 3 | 4 | 5 | possible cruft/padding.... | 1 | 2 | 3 | 4 | 5 | possible cruft/padding....
+----+----+----+-----+ +----+----+----+----+----+----------------------------+----+----+----+----+----+----------->
| ^
-----------


And, even if it were, due to aliasing rules, whether you'd be able to use a single int* to navigate all 10 numbers would potentially be a different matter!



All in all, a vector of ten ints would be clearer, completely packed, and possibly safer to use.



In the case of a vector of vectors, a vector is really just a pointer plus some housekeeping, hence the indirection (as you say).






share|improve this answer





















  • 9





    According to the answers here data don't have to be contiguous: Is the data in nested std::arrays guaranteed to be contiguous?. There are some discussion about this topic. Another discussions: Does std::array of std::array have contiguous memory? and Is the size of std::array defined by standard.

    – Daniel Langr
    18 hours ago








  • 1





    IOW, while the memory allocated has to be contiguous, the array elements need not be.

    – MSalters
    17 hours ago






  • 1





    Ooh this answer just gets posher and posher. Upped to 13.

    – Bathsheba
    16 hours ago








  • 2





    @DanielLangr That was a great discussion. Thanks for adding here...

    – Const
    14 hours ago






  • 2





    Note static_assert(sizeof(std::array<int,t>)==sizeof(int)*5) mitigates any padding (and passes in every version of every major compiler that has supported std::array). It does not mitigate against aliasing issues.

    – Yakk - Adam Nevraumont
    8 hours ago



















13














The big difference between std::vector and std::array is that std::vector contains a pointer to the memory it wraps, while std::array contains the actual array in itself.



That means a vector of vectors is like a jagged array.



For a vector of arrays, the std::array objects will be placed contiguously but separate from the vector object. Note that the std::array object themselves may be larger than the array they contain, and if so then the data will not be contiguous.



The last bit also means that an array (plain C-style or std::array) of std::array may also not keep the data contiguously. The std::array objects in the array will be contiguous, but not the data.



The only way to guarantee contiguous data for a "multi-dimensional" array is nested plain C-style arrays.






share|improve this answer





















  • 4





    It also means that a vector of arrays is similar to an array of arrays, in that the data is all contiguous... I dare to disagree. Please, see my comment under LightnessRacesinOrbit's answer.

    – Daniel Langr
    18 hours ago






  • 2





    @DanielLangr Thanks for reminding me. Rephrased that part.

    – Some programmer dude
    18 hours ago



















8














The C++ standard does not guarantee that std::array doesn't contain any payload at the end of the array, so alas you cannot assume that the first element of a subsequent array is just after the last element of a prior array.



Even if that were the case, the behaviour on attempting to reach any element in a array by pointer arithmetic on a pointer to an element in a different array is undefined. This is because pointer arithmetic is only valid within arrays.



The above also applies to a std::array<std::array>.






share|improve this answer































    3














    static_assert(sizeof(std::array<int,5>)==5*sizeof(int));


    the above mitigates against having any padding on the end of a std::array. No major compiler will cause the above to fail to this date, and I'd bet won't in the future.



    If and only if the above fails, then std::vector<std::array<int,5>> v(2) will have a "gap" between the std::arrays.



    This doesn't help as much as you'd like; a pointer generated as follows:



    int* ptr = &v[0][0];


    only has a domain of validity up to ptr+5, and dereferencing ptr+5 is undefined behavior.



    This is due to aliasing rules; you aren't allowed to "walk" past the end of one object into another, even if you know it is there, unless you first round-trip to certain types (like char*) where less restricted pointer arithmetic is permitted.



    That rule, in turn, exists to allow compilers to reason about what data is being accessed through which pointer, without having to prove that arbitrary pointer arithmetic will let you reach outside objects.



    So:



    struct bob {
    int x,y,z;
    };

    bob b {1,2,3};
    int* py = &b.y;


    no matter what you do with py as an int*, you cannot legally modify x or z with it.



    *py = 77;
    py[-1]=3;
    std::cout << b.x;


    the complier can optimize the std::cout line to simply print 1, because the py[-1]=3 may attempt to modify b.x, but doing so through that means is undefined behavior.



    The same kind of restrictions prevent you from going from the first array in your std::vector to the second (ie, beyond ptr+4).



    Creating ptr+5 is legal, but only as a one-past-the-end pointer. Comparing ptr+5 == &v[1][0] is also not specified in result, even though their binary values are absolutely going to be identical in every compiler on every major hardware system.



    If you want to go futher down the rabbit hole, it isn't even possible to implement std::vector<int> within C++ itself due to these restrictions on pointer aliasing. Last I checked (which was before c++17, but I didn't see a resolution in C++17) the standard committee was working on solving this, but I don't know the state of any such effort. (This is less of a problem than you might think, because nothing requires that std::vector<int> be implemented in standard-compliant C++; it must simply have standard-defined behavior. It can use compiler-specific extensions internally.)






    share|improve this answer
























    • Nice answer; upped. Note also the somewhat related issue that you can’t write malloc in standard C.

      – Bathsheba
      6 hours ago











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    4 Answers
    4






    active

    oldest

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    4 Answers
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    active

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    active

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    42














    Arrays do not have any indirection, but just store their data "directly". That is, a std::array<int, 5> literally contains five ints in a row, flat. And, like vectors, they do not put padding between their elements, so they're "internally contiguous".



    However, the std::array object itself may be larger than the set of its elements! It is permitted to have trailing "stuff" like padding. So, although likely, it is not necessarily true that your data will all be contiguous in the first case.



    An int
    +----+
    | |
    +----+

    A vector of 2 x int
    +----+----+----+-----+ +----+----+
    | housekeeping | ptr | | 1 | 2 |
    +----+----+----+-----+ +----+----+
    | ^
    -----------

    An std::array<int, 5>
    +----+----+----+----+----+----------->
    | 1 | 2 | 3 | 4 | 5 | possible cruft/padding....
    +----+----+----+----+----+----------->

    A vector of 2 x std::array<int, 5>
    +----+----+----+-----+ +----+----+----+----+----+----------------------------+----+----+----+----+----+----------->
    | housekeeping | ptr | | 1 | 2 | 3 | 4 | 5 | possible cruft/padding.... | 1 | 2 | 3 | 4 | 5 | possible cruft/padding....
    +----+----+----+-----+ +----+----+----+----+----+----------------------------+----+----+----+----+----+----------->
    | ^
    -----------


    And, even if it were, due to aliasing rules, whether you'd be able to use a single int* to navigate all 10 numbers would potentially be a different matter!



    All in all, a vector of ten ints would be clearer, completely packed, and possibly safer to use.



    In the case of a vector of vectors, a vector is really just a pointer plus some housekeeping, hence the indirection (as you say).






    share|improve this answer





















    • 9





      According to the answers here data don't have to be contiguous: Is the data in nested std::arrays guaranteed to be contiguous?. There are some discussion about this topic. Another discussions: Does std::array of std::array have contiguous memory? and Is the size of std::array defined by standard.

      – Daniel Langr
      18 hours ago








    • 1





      IOW, while the memory allocated has to be contiguous, the array elements need not be.

      – MSalters
      17 hours ago






    • 1





      Ooh this answer just gets posher and posher. Upped to 13.

      – Bathsheba
      16 hours ago








    • 2





      @DanielLangr That was a great discussion. Thanks for adding here...

      – Const
      14 hours ago






    • 2





      Note static_assert(sizeof(std::array<int,t>)==sizeof(int)*5) mitigates any padding (and passes in every version of every major compiler that has supported std::array). It does not mitigate against aliasing issues.

      – Yakk - Adam Nevraumont
      8 hours ago
















    42














    Arrays do not have any indirection, but just store their data "directly". That is, a std::array<int, 5> literally contains five ints in a row, flat. And, like vectors, they do not put padding between their elements, so they're "internally contiguous".



    However, the std::array object itself may be larger than the set of its elements! It is permitted to have trailing "stuff" like padding. So, although likely, it is not necessarily true that your data will all be contiguous in the first case.



    An int
    +----+
    | |
    +----+

    A vector of 2 x int
    +----+----+----+-----+ +----+----+
    | housekeeping | ptr | | 1 | 2 |
    +----+----+----+-----+ +----+----+
    | ^
    -----------

    An std::array<int, 5>
    +----+----+----+----+----+----------->
    | 1 | 2 | 3 | 4 | 5 | possible cruft/padding....
    +----+----+----+----+----+----------->

    A vector of 2 x std::array<int, 5>
    +----+----+----+-----+ +----+----+----+----+----+----------------------------+----+----+----+----+----+----------->
    | housekeeping | ptr | | 1 | 2 | 3 | 4 | 5 | possible cruft/padding.... | 1 | 2 | 3 | 4 | 5 | possible cruft/padding....
    +----+----+----+-----+ +----+----+----+----+----+----------------------------+----+----+----+----+----+----------->
    | ^
    -----------


    And, even if it were, due to aliasing rules, whether you'd be able to use a single int* to navigate all 10 numbers would potentially be a different matter!



    All in all, a vector of ten ints would be clearer, completely packed, and possibly safer to use.



    In the case of a vector of vectors, a vector is really just a pointer plus some housekeeping, hence the indirection (as you say).






    share|improve this answer





















    • 9





      According to the answers here data don't have to be contiguous: Is the data in nested std::arrays guaranteed to be contiguous?. There are some discussion about this topic. Another discussions: Does std::array of std::array have contiguous memory? and Is the size of std::array defined by standard.

      – Daniel Langr
      18 hours ago








    • 1





      IOW, while the memory allocated has to be contiguous, the array elements need not be.

      – MSalters
      17 hours ago






    • 1





      Ooh this answer just gets posher and posher. Upped to 13.

      – Bathsheba
      16 hours ago








    • 2





      @DanielLangr That was a great discussion. Thanks for adding here...

      – Const
      14 hours ago






    • 2





      Note static_assert(sizeof(std::array<int,t>)==sizeof(int)*5) mitigates any padding (and passes in every version of every major compiler that has supported std::array). It does not mitigate against aliasing issues.

      – Yakk - Adam Nevraumont
      8 hours ago














    42












    42








    42







    Arrays do not have any indirection, but just store their data "directly". That is, a std::array<int, 5> literally contains five ints in a row, flat. And, like vectors, they do not put padding between their elements, so they're "internally contiguous".



    However, the std::array object itself may be larger than the set of its elements! It is permitted to have trailing "stuff" like padding. So, although likely, it is not necessarily true that your data will all be contiguous in the first case.



    An int
    +----+
    | |
    +----+

    A vector of 2 x int
    +----+----+----+-----+ +----+----+
    | housekeeping | ptr | | 1 | 2 |
    +----+----+----+-----+ +----+----+
    | ^
    -----------

    An std::array<int, 5>
    +----+----+----+----+----+----------->
    | 1 | 2 | 3 | 4 | 5 | possible cruft/padding....
    +----+----+----+----+----+----------->

    A vector of 2 x std::array<int, 5>
    +----+----+----+-----+ +----+----+----+----+----+----------------------------+----+----+----+----+----+----------->
    | housekeeping | ptr | | 1 | 2 | 3 | 4 | 5 | possible cruft/padding.... | 1 | 2 | 3 | 4 | 5 | possible cruft/padding....
    +----+----+----+-----+ +----+----+----+----+----+----------------------------+----+----+----+----+----+----------->
    | ^
    -----------


    And, even if it were, due to aliasing rules, whether you'd be able to use a single int* to navigate all 10 numbers would potentially be a different matter!



    All in all, a vector of ten ints would be clearer, completely packed, and possibly safer to use.



    In the case of a vector of vectors, a vector is really just a pointer plus some housekeeping, hence the indirection (as you say).






    share|improve this answer















    Arrays do not have any indirection, but just store their data "directly". That is, a std::array<int, 5> literally contains five ints in a row, flat. And, like vectors, they do not put padding between their elements, so they're "internally contiguous".



    However, the std::array object itself may be larger than the set of its elements! It is permitted to have trailing "stuff" like padding. So, although likely, it is not necessarily true that your data will all be contiguous in the first case.



    An int
    +----+
    | |
    +----+

    A vector of 2 x int
    +----+----+----+-----+ +----+----+
    | housekeeping | ptr | | 1 | 2 |
    +----+----+----+-----+ +----+----+
    | ^
    -----------

    An std::array<int, 5>
    +----+----+----+----+----+----------->
    | 1 | 2 | 3 | 4 | 5 | possible cruft/padding....
    +----+----+----+----+----+----------->

    A vector of 2 x std::array<int, 5>
    +----+----+----+-----+ +----+----+----+----+----+----------------------------+----+----+----+----+----+----------->
    | housekeeping | ptr | | 1 | 2 | 3 | 4 | 5 | possible cruft/padding.... | 1 | 2 | 3 | 4 | 5 | possible cruft/padding....
    +----+----+----+-----+ +----+----+----+----+----+----------------------------+----+----+----+----+----+----------->
    | ^
    -----------


    And, even if it were, due to aliasing rules, whether you'd be able to use a single int* to navigate all 10 numbers would potentially be a different matter!



    All in all, a vector of ten ints would be clearer, completely packed, and possibly safer to use.



    In the case of a vector of vectors, a vector is really just a pointer plus some housekeeping, hence the indirection (as you say).







    share|improve this answer














    share|improve this answer



    share|improve this answer








    edited 16 hours ago

























    answered 18 hours ago









    Lightness Races in OrbitLightness Races in Orbit

    286k51466788




    286k51466788








    • 9





      According to the answers here data don't have to be contiguous: Is the data in nested std::arrays guaranteed to be contiguous?. There are some discussion about this topic. Another discussions: Does std::array of std::array have contiguous memory? and Is the size of std::array defined by standard.

      – Daniel Langr
      18 hours ago








    • 1





      IOW, while the memory allocated has to be contiguous, the array elements need not be.

      – MSalters
      17 hours ago






    • 1





      Ooh this answer just gets posher and posher. Upped to 13.

      – Bathsheba
      16 hours ago








    • 2





      @DanielLangr That was a great discussion. Thanks for adding here...

      – Const
      14 hours ago






    • 2





      Note static_assert(sizeof(std::array<int,t>)==sizeof(int)*5) mitigates any padding (and passes in every version of every major compiler that has supported std::array). It does not mitigate against aliasing issues.

      – Yakk - Adam Nevraumont
      8 hours ago














    • 9





      According to the answers here data don't have to be contiguous: Is the data in nested std::arrays guaranteed to be contiguous?. There are some discussion about this topic. Another discussions: Does std::array of std::array have contiguous memory? and Is the size of std::array defined by standard.

      – Daniel Langr
      18 hours ago








    • 1





      IOW, while the memory allocated has to be contiguous, the array elements need not be.

      – MSalters
      17 hours ago






    • 1





      Ooh this answer just gets posher and posher. Upped to 13.

      – Bathsheba
      16 hours ago








    • 2





      @DanielLangr That was a great discussion. Thanks for adding here...

      – Const
      14 hours ago






    • 2





      Note static_assert(sizeof(std::array<int,t>)==sizeof(int)*5) mitigates any padding (and passes in every version of every major compiler that has supported std::array). It does not mitigate against aliasing issues.

      – Yakk - Adam Nevraumont
      8 hours ago








    9




    9





    According to the answers here data don't have to be contiguous: Is the data in nested std::arrays guaranteed to be contiguous?. There are some discussion about this topic. Another discussions: Does std::array of std::array have contiguous memory? and Is the size of std::array defined by standard.

    – Daniel Langr
    18 hours ago







    According to the answers here data don't have to be contiguous: Is the data in nested std::arrays guaranteed to be contiguous?. There are some discussion about this topic. Another discussions: Does std::array of std::array have contiguous memory? and Is the size of std::array defined by standard.

    – Daniel Langr
    18 hours ago






    1




    1





    IOW, while the memory allocated has to be contiguous, the array elements need not be.

    – MSalters
    17 hours ago





    IOW, while the memory allocated has to be contiguous, the array elements need not be.

    – MSalters
    17 hours ago




    1




    1





    Ooh this answer just gets posher and posher. Upped to 13.

    – Bathsheba
    16 hours ago







    Ooh this answer just gets posher and posher. Upped to 13.

    – Bathsheba
    16 hours ago






    2




    2





    @DanielLangr That was a great discussion. Thanks for adding here...

    – Const
    14 hours ago





    @DanielLangr That was a great discussion. Thanks for adding here...

    – Const
    14 hours ago




    2




    2





    Note static_assert(sizeof(std::array<int,t>)==sizeof(int)*5) mitigates any padding (and passes in every version of every major compiler that has supported std::array). It does not mitigate against aliasing issues.

    – Yakk - Adam Nevraumont
    8 hours ago





    Note static_assert(sizeof(std::array<int,t>)==sizeof(int)*5) mitigates any padding (and passes in every version of every major compiler that has supported std::array). It does not mitigate against aliasing issues.

    – Yakk - Adam Nevraumont
    8 hours ago













    13














    The big difference between std::vector and std::array is that std::vector contains a pointer to the memory it wraps, while std::array contains the actual array in itself.



    That means a vector of vectors is like a jagged array.



    For a vector of arrays, the std::array objects will be placed contiguously but separate from the vector object. Note that the std::array object themselves may be larger than the array they contain, and if so then the data will not be contiguous.



    The last bit also means that an array (plain C-style or std::array) of std::array may also not keep the data contiguously. The std::array objects in the array will be contiguous, but not the data.



    The only way to guarantee contiguous data for a "multi-dimensional" array is nested plain C-style arrays.






    share|improve this answer





















    • 4





      It also means that a vector of arrays is similar to an array of arrays, in that the data is all contiguous... I dare to disagree. Please, see my comment under LightnessRacesinOrbit's answer.

      – Daniel Langr
      18 hours ago






    • 2





      @DanielLangr Thanks for reminding me. Rephrased that part.

      – Some programmer dude
      18 hours ago
















    13














    The big difference between std::vector and std::array is that std::vector contains a pointer to the memory it wraps, while std::array contains the actual array in itself.



    That means a vector of vectors is like a jagged array.



    For a vector of arrays, the std::array objects will be placed contiguously but separate from the vector object. Note that the std::array object themselves may be larger than the array they contain, and if so then the data will not be contiguous.



    The last bit also means that an array (plain C-style or std::array) of std::array may also not keep the data contiguously. The std::array objects in the array will be contiguous, but not the data.



    The only way to guarantee contiguous data for a "multi-dimensional" array is nested plain C-style arrays.






    share|improve this answer





















    • 4





      It also means that a vector of arrays is similar to an array of arrays, in that the data is all contiguous... I dare to disagree. Please, see my comment under LightnessRacesinOrbit's answer.

      – Daniel Langr
      18 hours ago






    • 2





      @DanielLangr Thanks for reminding me. Rephrased that part.

      – Some programmer dude
      18 hours ago














    13












    13








    13







    The big difference between std::vector and std::array is that std::vector contains a pointer to the memory it wraps, while std::array contains the actual array in itself.



    That means a vector of vectors is like a jagged array.



    For a vector of arrays, the std::array objects will be placed contiguously but separate from the vector object. Note that the std::array object themselves may be larger than the array they contain, and if so then the data will not be contiguous.



    The last bit also means that an array (plain C-style or std::array) of std::array may also not keep the data contiguously. The std::array objects in the array will be contiguous, but not the data.



    The only way to guarantee contiguous data for a "multi-dimensional" array is nested plain C-style arrays.






    share|improve this answer















    The big difference between std::vector and std::array is that std::vector contains a pointer to the memory it wraps, while std::array contains the actual array in itself.



    That means a vector of vectors is like a jagged array.



    For a vector of arrays, the std::array objects will be placed contiguously but separate from the vector object. Note that the std::array object themselves may be larger than the array they contain, and if so then the data will not be contiguous.



    The last bit also means that an array (plain C-style or std::array) of std::array may also not keep the data contiguously. The std::array objects in the array will be contiguous, but not the data.



    The only way to guarantee contiguous data for a "multi-dimensional" array is nested plain C-style arrays.







    share|improve this answer














    share|improve this answer



    share|improve this answer








    edited 18 hours ago

























    answered 18 hours ago









    Some programmer dudeSome programmer dude

    296k24250412




    296k24250412








    • 4





      It also means that a vector of arrays is similar to an array of arrays, in that the data is all contiguous... I dare to disagree. Please, see my comment under LightnessRacesinOrbit's answer.

      – Daniel Langr
      18 hours ago






    • 2





      @DanielLangr Thanks for reminding me. Rephrased that part.

      – Some programmer dude
      18 hours ago














    • 4





      It also means that a vector of arrays is similar to an array of arrays, in that the data is all contiguous... I dare to disagree. Please, see my comment under LightnessRacesinOrbit's answer.

      – Daniel Langr
      18 hours ago






    • 2





      @DanielLangr Thanks for reminding me. Rephrased that part.

      – Some programmer dude
      18 hours ago








    4




    4





    It also means that a vector of arrays is similar to an array of arrays, in that the data is all contiguous... I dare to disagree. Please, see my comment under LightnessRacesinOrbit's answer.

    – Daniel Langr
    18 hours ago





    It also means that a vector of arrays is similar to an array of arrays, in that the data is all contiguous... I dare to disagree. Please, see my comment under LightnessRacesinOrbit's answer.

    – Daniel Langr
    18 hours ago




    2




    2





    @DanielLangr Thanks for reminding me. Rephrased that part.

    – Some programmer dude
    18 hours ago





    @DanielLangr Thanks for reminding me. Rephrased that part.

    – Some programmer dude
    18 hours ago











    8














    The C++ standard does not guarantee that std::array doesn't contain any payload at the end of the array, so alas you cannot assume that the first element of a subsequent array is just after the last element of a prior array.



    Even if that were the case, the behaviour on attempting to reach any element in a array by pointer arithmetic on a pointer to an element in a different array is undefined. This is because pointer arithmetic is only valid within arrays.



    The above also applies to a std::array<std::array>.






    share|improve this answer




























      8














      The C++ standard does not guarantee that std::array doesn't contain any payload at the end of the array, so alas you cannot assume that the first element of a subsequent array is just after the last element of a prior array.



      Even if that were the case, the behaviour on attempting to reach any element in a array by pointer arithmetic on a pointer to an element in a different array is undefined. This is because pointer arithmetic is only valid within arrays.



      The above also applies to a std::array<std::array>.






      share|improve this answer


























        8












        8








        8







        The C++ standard does not guarantee that std::array doesn't contain any payload at the end of the array, so alas you cannot assume that the first element of a subsequent array is just after the last element of a prior array.



        Even if that were the case, the behaviour on attempting to reach any element in a array by pointer arithmetic on a pointer to an element in a different array is undefined. This is because pointer arithmetic is only valid within arrays.



        The above also applies to a std::array<std::array>.






        share|improve this answer













        The C++ standard does not guarantee that std::array doesn't contain any payload at the end of the array, so alas you cannot assume that the first element of a subsequent array is just after the last element of a prior array.



        Even if that were the case, the behaviour on attempting to reach any element in a array by pointer arithmetic on a pointer to an element in a different array is undefined. This is because pointer arithmetic is only valid within arrays.



        The above also applies to a std::array<std::array>.







        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered 18 hours ago









        BathshebaBathsheba

        176k27251373




        176k27251373























            3














            static_assert(sizeof(std::array<int,5>)==5*sizeof(int));


            the above mitigates against having any padding on the end of a std::array. No major compiler will cause the above to fail to this date, and I'd bet won't in the future.



            If and only if the above fails, then std::vector<std::array<int,5>> v(2) will have a "gap" between the std::arrays.



            This doesn't help as much as you'd like; a pointer generated as follows:



            int* ptr = &v[0][0];


            only has a domain of validity up to ptr+5, and dereferencing ptr+5 is undefined behavior.



            This is due to aliasing rules; you aren't allowed to "walk" past the end of one object into another, even if you know it is there, unless you first round-trip to certain types (like char*) where less restricted pointer arithmetic is permitted.



            That rule, in turn, exists to allow compilers to reason about what data is being accessed through which pointer, without having to prove that arbitrary pointer arithmetic will let you reach outside objects.



            So:



            struct bob {
            int x,y,z;
            };

            bob b {1,2,3};
            int* py = &b.y;


            no matter what you do with py as an int*, you cannot legally modify x or z with it.



            *py = 77;
            py[-1]=3;
            std::cout << b.x;


            the complier can optimize the std::cout line to simply print 1, because the py[-1]=3 may attempt to modify b.x, but doing so through that means is undefined behavior.



            The same kind of restrictions prevent you from going from the first array in your std::vector to the second (ie, beyond ptr+4).



            Creating ptr+5 is legal, but only as a one-past-the-end pointer. Comparing ptr+5 == &v[1][0] is also not specified in result, even though their binary values are absolutely going to be identical in every compiler on every major hardware system.



            If you want to go futher down the rabbit hole, it isn't even possible to implement std::vector<int> within C++ itself due to these restrictions on pointer aliasing. Last I checked (which was before c++17, but I didn't see a resolution in C++17) the standard committee was working on solving this, but I don't know the state of any such effort. (This is less of a problem than you might think, because nothing requires that std::vector<int> be implemented in standard-compliant C++; it must simply have standard-defined behavior. It can use compiler-specific extensions internally.)






            share|improve this answer
























            • Nice answer; upped. Note also the somewhat related issue that you can’t write malloc in standard C.

              – Bathsheba
              6 hours ago
















            3














            static_assert(sizeof(std::array<int,5>)==5*sizeof(int));


            the above mitigates against having any padding on the end of a std::array. No major compiler will cause the above to fail to this date, and I'd bet won't in the future.



            If and only if the above fails, then std::vector<std::array<int,5>> v(2) will have a "gap" between the std::arrays.



            This doesn't help as much as you'd like; a pointer generated as follows:



            int* ptr = &v[0][0];


            only has a domain of validity up to ptr+5, and dereferencing ptr+5 is undefined behavior.



            This is due to aliasing rules; you aren't allowed to "walk" past the end of one object into another, even if you know it is there, unless you first round-trip to certain types (like char*) where less restricted pointer arithmetic is permitted.



            That rule, in turn, exists to allow compilers to reason about what data is being accessed through which pointer, without having to prove that arbitrary pointer arithmetic will let you reach outside objects.



            So:



            struct bob {
            int x,y,z;
            };

            bob b {1,2,3};
            int* py = &b.y;


            no matter what you do with py as an int*, you cannot legally modify x or z with it.



            *py = 77;
            py[-1]=3;
            std::cout << b.x;


            the complier can optimize the std::cout line to simply print 1, because the py[-1]=3 may attempt to modify b.x, but doing so through that means is undefined behavior.



            The same kind of restrictions prevent you from going from the first array in your std::vector to the second (ie, beyond ptr+4).



            Creating ptr+5 is legal, but only as a one-past-the-end pointer. Comparing ptr+5 == &v[1][0] is also not specified in result, even though their binary values are absolutely going to be identical in every compiler on every major hardware system.



            If you want to go futher down the rabbit hole, it isn't even possible to implement std::vector<int> within C++ itself due to these restrictions on pointer aliasing. Last I checked (which was before c++17, but I didn't see a resolution in C++17) the standard committee was working on solving this, but I don't know the state of any such effort. (This is less of a problem than you might think, because nothing requires that std::vector<int> be implemented in standard-compliant C++; it must simply have standard-defined behavior. It can use compiler-specific extensions internally.)






            share|improve this answer
























            • Nice answer; upped. Note also the somewhat related issue that you can’t write malloc in standard C.

              – Bathsheba
              6 hours ago














            3












            3








            3







            static_assert(sizeof(std::array<int,5>)==5*sizeof(int));


            the above mitigates against having any padding on the end of a std::array. No major compiler will cause the above to fail to this date, and I'd bet won't in the future.



            If and only if the above fails, then std::vector<std::array<int,5>> v(2) will have a "gap" between the std::arrays.



            This doesn't help as much as you'd like; a pointer generated as follows:



            int* ptr = &v[0][0];


            only has a domain of validity up to ptr+5, and dereferencing ptr+5 is undefined behavior.



            This is due to aliasing rules; you aren't allowed to "walk" past the end of one object into another, even if you know it is there, unless you first round-trip to certain types (like char*) where less restricted pointer arithmetic is permitted.



            That rule, in turn, exists to allow compilers to reason about what data is being accessed through which pointer, without having to prove that arbitrary pointer arithmetic will let you reach outside objects.



            So:



            struct bob {
            int x,y,z;
            };

            bob b {1,2,3};
            int* py = &b.y;


            no matter what you do with py as an int*, you cannot legally modify x or z with it.



            *py = 77;
            py[-1]=3;
            std::cout << b.x;


            the complier can optimize the std::cout line to simply print 1, because the py[-1]=3 may attempt to modify b.x, but doing so through that means is undefined behavior.



            The same kind of restrictions prevent you from going from the first array in your std::vector to the second (ie, beyond ptr+4).



            Creating ptr+5 is legal, but only as a one-past-the-end pointer. Comparing ptr+5 == &v[1][0] is also not specified in result, even though their binary values are absolutely going to be identical in every compiler on every major hardware system.



            If you want to go futher down the rabbit hole, it isn't even possible to implement std::vector<int> within C++ itself due to these restrictions on pointer aliasing. Last I checked (which was before c++17, but I didn't see a resolution in C++17) the standard committee was working on solving this, but I don't know the state of any such effort. (This is less of a problem than you might think, because nothing requires that std::vector<int> be implemented in standard-compliant C++; it must simply have standard-defined behavior. It can use compiler-specific extensions internally.)






            share|improve this answer













            static_assert(sizeof(std::array<int,5>)==5*sizeof(int));


            the above mitigates against having any padding on the end of a std::array. No major compiler will cause the above to fail to this date, and I'd bet won't in the future.



            If and only if the above fails, then std::vector<std::array<int,5>> v(2) will have a "gap" between the std::arrays.



            This doesn't help as much as you'd like; a pointer generated as follows:



            int* ptr = &v[0][0];


            only has a domain of validity up to ptr+5, and dereferencing ptr+5 is undefined behavior.



            This is due to aliasing rules; you aren't allowed to "walk" past the end of one object into another, even if you know it is there, unless you first round-trip to certain types (like char*) where less restricted pointer arithmetic is permitted.



            That rule, in turn, exists to allow compilers to reason about what data is being accessed through which pointer, without having to prove that arbitrary pointer arithmetic will let you reach outside objects.



            So:



            struct bob {
            int x,y,z;
            };

            bob b {1,2,3};
            int* py = &b.y;


            no matter what you do with py as an int*, you cannot legally modify x or z with it.



            *py = 77;
            py[-1]=3;
            std::cout << b.x;


            the complier can optimize the std::cout line to simply print 1, because the py[-1]=3 may attempt to modify b.x, but doing so through that means is undefined behavior.



            The same kind of restrictions prevent you from going from the first array in your std::vector to the second (ie, beyond ptr+4).



            Creating ptr+5 is legal, but only as a one-past-the-end pointer. Comparing ptr+5 == &v[1][0] is also not specified in result, even though their binary values are absolutely going to be identical in every compiler on every major hardware system.



            If you want to go futher down the rabbit hole, it isn't even possible to implement std::vector<int> within C++ itself due to these restrictions on pointer aliasing. Last I checked (which was before c++17, but I didn't see a resolution in C++17) the standard committee was working on solving this, but I don't know the state of any such effort. (This is less of a problem than you might think, because nothing requires that std::vector<int> be implemented in standard-compliant C++; it must simply have standard-defined behavior. It can use compiler-specific extensions internally.)







            share|improve this answer












            share|improve this answer



            share|improve this answer










            answered 8 hours ago









            Yakk - Adam NevraumontYakk - Adam Nevraumont

            183k19190375




            183k19190375













            • Nice answer; upped. Note also the somewhat related issue that you can’t write malloc in standard C.

              – Bathsheba
              6 hours ago



















            • Nice answer; upped. Note also the somewhat related issue that you can’t write malloc in standard C.

              – Bathsheba
              6 hours ago

















            Nice answer; upped. Note also the somewhat related issue that you can’t write malloc in standard C.

            – Bathsheba
            6 hours ago





            Nice answer; upped. Note also the somewhat related issue that you can’t write malloc in standard C.

            – Bathsheba
            6 hours ago


















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