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Number of list elements less than a given integer


Count number of sublists with a total not greater than a given maxHow do I select only those lists whose elements are all above a certain number?Defining functions of varying, iterative numbers of argumentsGeneral function taking general number of argumentsFunction taking arbitrary number of argumentsOverlap between lists of sublists with different dimensionsSpeed of a simple operation over a long listSpeed up Flatten[] of a large nested listDefining a Function programmatically






.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;








3












$begingroup$


I'm trying to make a function whose input is a list, and that outputs a list for which the nth element is the number of elements in the input less than n.
So far, I have



l2 = Table[Length[Select[l1, # < n &]], n, 1, M]


Where l2 is the output list, l1 is the input list, and M is the desired length of l2.
This gives the correct output, but is there a faster way to do this, as this function can get rather slow for larger lists.



An example of the function:



2,2,3,3,7 —$>$ 0,0,2,4,4.










share|improve this question











$endgroup$













  • $begingroup$
    Is your input list always sorted?
    $endgroup$
    – Carl Woll
    7 hours ago










  • $begingroup$
    Yes it is always sorted
    $endgroup$
    – volcanrb
    7 hours ago

















3












$begingroup$


I'm trying to make a function whose input is a list, and that outputs a list for which the nth element is the number of elements in the input less than n.
So far, I have



l2 = Table[Length[Select[l1, # < n &]], n, 1, M]


Where l2 is the output list, l1 is the input list, and M is the desired length of l2.
This gives the correct output, but is there a faster way to do this, as this function can get rather slow for larger lists.



An example of the function:



2,2,3,3,7 —$>$ 0,0,2,4,4.










share|improve this question











$endgroup$













  • $begingroup$
    Is your input list always sorted?
    $endgroup$
    – Carl Woll
    7 hours ago










  • $begingroup$
    Yes it is always sorted
    $endgroup$
    – volcanrb
    7 hours ago













3












3








3


1



$begingroup$


I'm trying to make a function whose input is a list, and that outputs a list for which the nth element is the number of elements in the input less than n.
So far, I have



l2 = Table[Length[Select[l1, # < n &]], n, 1, M]


Where l2 is the output list, l1 is the input list, and M is the desired length of l2.
This gives the correct output, but is there a faster way to do this, as this function can get rather slow for larger lists.



An example of the function:



2,2,3,3,7 —$>$ 0,0,2,4,4.










share|improve this question











$endgroup$




I'm trying to make a function whose input is a list, and that outputs a list for which the nth element is the number of elements in the input less than n.
So far, I have



l2 = Table[Length[Select[l1, # < n &]], n, 1, M]


Where l2 is the output list, l1 is the input list, and M is the desired length of l2.
This gives the correct output, but is there a faster way to do this, as this function can get rather slow for larger lists.



An example of the function:



2,2,3,3,7 —$>$ 0,0,2,4,4.







list-manipulation performance-tuning function-construction






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 8 hours ago







volcanrb

















asked 8 hours ago









volcanrbvolcanrb

1954 bronze badges




1954 bronze badges














  • $begingroup$
    Is your input list always sorted?
    $endgroup$
    – Carl Woll
    7 hours ago










  • $begingroup$
    Yes it is always sorted
    $endgroup$
    – volcanrb
    7 hours ago
















  • $begingroup$
    Is your input list always sorted?
    $endgroup$
    – Carl Woll
    7 hours ago










  • $begingroup$
    Yes it is always sorted
    $endgroup$
    – volcanrb
    7 hours ago















$begingroup$
Is your input list always sorted?
$endgroup$
– Carl Woll
7 hours ago




$begingroup$
Is your input list always sorted?
$endgroup$
– Carl Woll
7 hours ago












$begingroup$
Yes it is always sorted
$endgroup$
– volcanrb
7 hours ago




$begingroup$
Yes it is always sorted
$endgroup$
– volcanrb
7 hours ago










2 Answers
2






active

oldest

votes


















3














$begingroup$

The BoolEval package can be used here to get a good combination of performance and clean syntax:



<< BoolEval`
Table[BoolCount[list < n], n, 5]



0, 0, 2, 4, 4







share|improve this answer









$endgroup$






















    2














    $begingroup$

    list = RandomReal[0, 100, 100000];
    Accumulate[BinCounts[list, 0, Ceiling[Max[list]], 1]]





    share|improve this answer









    $endgroup$

















      Your Answer








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      2 Answers
      2






      active

      oldest

      votes








      2 Answers
      2






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes









      3














      $begingroup$

      The BoolEval package can be used here to get a good combination of performance and clean syntax:



      << BoolEval`
      Table[BoolCount[list < n], n, 5]



      0, 0, 2, 4, 4







      share|improve this answer









      $endgroup$



















        3














        $begingroup$

        The BoolEval package can be used here to get a good combination of performance and clean syntax:



        << BoolEval`
        Table[BoolCount[list < n], n, 5]



        0, 0, 2, 4, 4







        share|improve this answer









        $endgroup$

















          3














          3










          3







          $begingroup$

          The BoolEval package can be used here to get a good combination of performance and clean syntax:



          << BoolEval`
          Table[BoolCount[list < n], n, 5]



          0, 0, 2, 4, 4







          share|improve this answer









          $endgroup$



          The BoolEval package can be used here to get a good combination of performance and clean syntax:



          << BoolEval`
          Table[BoolCount[list < n], n, 5]



          0, 0, 2, 4, 4








          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered 7 hours ago









          C. E.C. E.

          55.6k3 gold badges108 silver badges221 bronze badges




          55.6k3 gold badges108 silver badges221 bronze badges


























              2














              $begingroup$

              list = RandomReal[0, 100, 100000];
              Accumulate[BinCounts[list, 0, Ceiling[Max[list]], 1]]





              share|improve this answer









              $endgroup$



















                2














                $begingroup$

                list = RandomReal[0, 100, 100000];
                Accumulate[BinCounts[list, 0, Ceiling[Max[list]], 1]]





                share|improve this answer









                $endgroup$

















                  2














                  2










                  2







                  $begingroup$

                  list = RandomReal[0, 100, 100000];
                  Accumulate[BinCounts[list, 0, Ceiling[Max[list]], 1]]





                  share|improve this answer









                  $endgroup$



                  list = RandomReal[0, 100, 100000];
                  Accumulate[BinCounts[list, 0, Ceiling[Max[list]], 1]]






                  share|improve this answer












                  share|improve this answer



                  share|improve this answer










                  answered 6 hours ago









                  Henrik SchumacherHenrik Schumacher

                  68.5k5 gold badges98 silver badges191 bronze badges




                  68.5k5 gold badges98 silver badges191 bronze badges































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