Counting certain elements in lists












2












$begingroup$


I have the following data set:



n1 = 1000;
data1 = {#, {RandomInteger[3, 20]}} & /@ Range[n1];

Dimensions@data1
{1000, 2}


I want to count how often data1[[All, 2]] == 1.



My solution, which seems to be wrong:



result1 = Table[
Count[Flatten@(data1[[i, 2]]), u_ /; u == 1],
{i, 1, n1}
];

Dimensions@result1
{1000}


Now I have 50 appended lists of data1 (= data2).



n3 = 50;

data2 = Array[0 &, n3];

Do[
data2[[i]] = {#, {RandomInteger[3, 20]}} & /@ Range[n1];
, {i, 1, n3}
];

Dimensions@data2
{50, 1000, 2}


I want to count how often data2[[j, i, 2]] == 1, where {i, 1, n1} and {j, 1, n3}.



My solution for this more complicated list:



result2 = Array[0 &, n3];

Do[
result2[[j]] =
Table[
Count[Flatten@(data2[[j, i, 2]]), u_ /; u == 1],
{i, 1, n1}
];
, {j, 1, n3}
];

Dimensions@result2
{50, 1000}


How can I replace the Do loops in both cases and improve the performance?










share|improve this question











$endgroup$

















    2












    $begingroup$


    I have the following data set:



    n1 = 1000;
    data1 = {#, {RandomInteger[3, 20]}} & /@ Range[n1];

    Dimensions@data1
    {1000, 2}


    I want to count how often data1[[All, 2]] == 1.



    My solution, which seems to be wrong:



    result1 = Table[
    Count[Flatten@(data1[[i, 2]]), u_ /; u == 1],
    {i, 1, n1}
    ];

    Dimensions@result1
    {1000}


    Now I have 50 appended lists of data1 (= data2).



    n3 = 50;

    data2 = Array[0 &, n3];

    Do[
    data2[[i]] = {#, {RandomInteger[3, 20]}} & /@ Range[n1];
    , {i, 1, n3}
    ];

    Dimensions@data2
    {50, 1000, 2}


    I want to count how often data2[[j, i, 2]] == 1, where {i, 1, n1} and {j, 1, n3}.



    My solution for this more complicated list:



    result2 = Array[0 &, n3];

    Do[
    result2[[j]] =
    Table[
    Count[Flatten@(data2[[j, i, 2]]), u_ /; u == 1],
    {i, 1, n1}
    ];
    , {j, 1, n3}
    ];

    Dimensions@result2
    {50, 1000}


    How can I replace the Do loops in both cases and improve the performance?










    share|improve this question











    $endgroup$















      2












      2








      2





      $begingroup$


      I have the following data set:



      n1 = 1000;
      data1 = {#, {RandomInteger[3, 20]}} & /@ Range[n1];

      Dimensions@data1
      {1000, 2}


      I want to count how often data1[[All, 2]] == 1.



      My solution, which seems to be wrong:



      result1 = Table[
      Count[Flatten@(data1[[i, 2]]), u_ /; u == 1],
      {i, 1, n1}
      ];

      Dimensions@result1
      {1000}


      Now I have 50 appended lists of data1 (= data2).



      n3 = 50;

      data2 = Array[0 &, n3];

      Do[
      data2[[i]] = {#, {RandomInteger[3, 20]}} & /@ Range[n1];
      , {i, 1, n3}
      ];

      Dimensions@data2
      {50, 1000, 2}


      I want to count how often data2[[j, i, 2]] == 1, where {i, 1, n1} and {j, 1, n3}.



      My solution for this more complicated list:



      result2 = Array[0 &, n3];

      Do[
      result2[[j]] =
      Table[
      Count[Flatten@(data2[[j, i, 2]]), u_ /; u == 1],
      {i, 1, n1}
      ];
      , {j, 1, n3}
      ];

      Dimensions@result2
      {50, 1000}


      How can I replace the Do loops in both cases and improve the performance?










      share|improve this question











      $endgroup$




      I have the following data set:



      n1 = 1000;
      data1 = {#, {RandomInteger[3, 20]}} & /@ Range[n1];

      Dimensions@data1
      {1000, 2}


      I want to count how often data1[[All, 2]] == 1.



      My solution, which seems to be wrong:



      result1 = Table[
      Count[Flatten@(data1[[i, 2]]), u_ /; u == 1],
      {i, 1, n1}
      ];

      Dimensions@result1
      {1000}


      Now I have 50 appended lists of data1 (= data2).



      n3 = 50;

      data2 = Array[0 &, n3];

      Do[
      data2[[i]] = {#, {RandomInteger[3, 20]}} & /@ Range[n1];
      , {i, 1, n3}
      ];

      Dimensions@data2
      {50, 1000, 2}


      I want to count how often data2[[j, i, 2]] == 1, where {i, 1, n1} and {j, 1, n3}.



      My solution for this more complicated list:



      result2 = Array[0 &, n3];

      Do[
      result2[[j]] =
      Table[
      Count[Flatten@(data2[[j, i, 2]]), u_ /; u == 1],
      {i, 1, n1}
      ];
      , {j, 1, n3}
      ];

      Dimensions@result2
      {50, 1000}


      How can I replace the Do loops in both cases and improve the performance?







      list-manipulation






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 21 mins ago







      lio

















      asked 1 hour ago









      liolio

      1,130217




      1,130217






















          2 Answers
          2






          active

          oldest

          votes


















          2












          $begingroup$

          For your result1:



          Count[1] /@ data1[[All, 2, 1]]


          For your result2:



          Map[Count[1], data2[[All, All, 2, 1]], {2}];





          share|improve this answer











          $endgroup$













          • $begingroup$
            This is great ...
            $endgroup$
            – lio
            36 mins ago










          • $begingroup$
            Do you have an idea for result2 improvement?
            $endgroup$
            – lio
            23 mins ago










          • $begingroup$
            @lio Yes, I've added something for result2 as well. You can check that they give the same output as your result1 and result2 respectively.
            $endgroup$
            – MarcoB
            16 mins ago



















          1












          $begingroup$

          r1 = Total[1 - Unitize[data1[[All, 2, 1]] - 1], {2}] 

          Short @ %



          {5,5,4,6,5,8,5,6,5,4,8,6,3,3,2,7,2,9,5,6,4,5,3,8,7,6,8,3,7,5,9,4,7,6,5,4,5,5,<<925>>,7,5,6,6,3,5,4,6,6,9,7,9,5,6,4,3,8,4,4,6,6,9,6,6,3,8,3,4,1,8,4,4,4,5,7,8,5}




          r2 = Join @@@ Total[1 - Unitize[data2[[All, All, 2]] - 1], {4}];
          r2 // Dimensions



          {50, 1000}







          share|improve this answer











          $endgroup$













          • $begingroup$
            Great ... what do you think about result2. Now the Indices in the result2 double loop are correct.
            $endgroup$
            – lio
            21 mins ago










          • $begingroup$
            @lio, please see the update.
            $endgroup$
            – kglr
            12 mins ago











          Your Answer





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          2 Answers
          2






          active

          oldest

          votes








          2 Answers
          2






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          2












          $begingroup$

          For your result1:



          Count[1] /@ data1[[All, 2, 1]]


          For your result2:



          Map[Count[1], data2[[All, All, 2, 1]], {2}];





          share|improve this answer











          $endgroup$













          • $begingroup$
            This is great ...
            $endgroup$
            – lio
            36 mins ago










          • $begingroup$
            Do you have an idea for result2 improvement?
            $endgroup$
            – lio
            23 mins ago










          • $begingroup$
            @lio Yes, I've added something for result2 as well. You can check that they give the same output as your result1 and result2 respectively.
            $endgroup$
            – MarcoB
            16 mins ago
















          2












          $begingroup$

          For your result1:



          Count[1] /@ data1[[All, 2, 1]]


          For your result2:



          Map[Count[1], data2[[All, All, 2, 1]], {2}];





          share|improve this answer











          $endgroup$













          • $begingroup$
            This is great ...
            $endgroup$
            – lio
            36 mins ago










          • $begingroup$
            Do you have an idea for result2 improvement?
            $endgroup$
            – lio
            23 mins ago










          • $begingroup$
            @lio Yes, I've added something for result2 as well. You can check that they give the same output as your result1 and result2 respectively.
            $endgroup$
            – MarcoB
            16 mins ago














          2












          2








          2





          $begingroup$

          For your result1:



          Count[1] /@ data1[[All, 2, 1]]


          For your result2:



          Map[Count[1], data2[[All, All, 2, 1]], {2}];





          share|improve this answer











          $endgroup$



          For your result1:



          Count[1] /@ data1[[All, 2, 1]]


          For your result2:



          Map[Count[1], data2[[All, All, 2, 1]], {2}];






          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 19 mins ago

























          answered 50 mins ago









          MarcoBMarcoB

          37.5k556113




          37.5k556113












          • $begingroup$
            This is great ...
            $endgroup$
            – lio
            36 mins ago










          • $begingroup$
            Do you have an idea for result2 improvement?
            $endgroup$
            – lio
            23 mins ago










          • $begingroup$
            @lio Yes, I've added something for result2 as well. You can check that they give the same output as your result1 and result2 respectively.
            $endgroup$
            – MarcoB
            16 mins ago


















          • $begingroup$
            This is great ...
            $endgroup$
            – lio
            36 mins ago










          • $begingroup$
            Do you have an idea for result2 improvement?
            $endgroup$
            – lio
            23 mins ago










          • $begingroup$
            @lio Yes, I've added something for result2 as well. You can check that they give the same output as your result1 and result2 respectively.
            $endgroup$
            – MarcoB
            16 mins ago
















          $begingroup$
          This is great ...
          $endgroup$
          – lio
          36 mins ago




          $begingroup$
          This is great ...
          $endgroup$
          – lio
          36 mins ago












          $begingroup$
          Do you have an idea for result2 improvement?
          $endgroup$
          – lio
          23 mins ago




          $begingroup$
          Do you have an idea for result2 improvement?
          $endgroup$
          – lio
          23 mins ago












          $begingroup$
          @lio Yes, I've added something for result2 as well. You can check that they give the same output as your result1 and result2 respectively.
          $endgroup$
          – MarcoB
          16 mins ago




          $begingroup$
          @lio Yes, I've added something for result2 as well. You can check that they give the same output as your result1 and result2 respectively.
          $endgroup$
          – MarcoB
          16 mins ago











          1












          $begingroup$

          r1 = Total[1 - Unitize[data1[[All, 2, 1]] - 1], {2}] 

          Short @ %



          {5,5,4,6,5,8,5,6,5,4,8,6,3,3,2,7,2,9,5,6,4,5,3,8,7,6,8,3,7,5,9,4,7,6,5,4,5,5,<<925>>,7,5,6,6,3,5,4,6,6,9,7,9,5,6,4,3,8,4,4,6,6,9,6,6,3,8,3,4,1,8,4,4,4,5,7,8,5}




          r2 = Join @@@ Total[1 - Unitize[data2[[All, All, 2]] - 1], {4}];
          r2 // Dimensions



          {50, 1000}







          share|improve this answer











          $endgroup$













          • $begingroup$
            Great ... what do you think about result2. Now the Indices in the result2 double loop are correct.
            $endgroup$
            – lio
            21 mins ago










          • $begingroup$
            @lio, please see the update.
            $endgroup$
            – kglr
            12 mins ago
















          1












          $begingroup$

          r1 = Total[1 - Unitize[data1[[All, 2, 1]] - 1], {2}] 

          Short @ %



          {5,5,4,6,5,8,5,6,5,4,8,6,3,3,2,7,2,9,5,6,4,5,3,8,7,6,8,3,7,5,9,4,7,6,5,4,5,5,<<925>>,7,5,6,6,3,5,4,6,6,9,7,9,5,6,4,3,8,4,4,6,6,9,6,6,3,8,3,4,1,8,4,4,4,5,7,8,5}




          r2 = Join @@@ Total[1 - Unitize[data2[[All, All, 2]] - 1], {4}];
          r2 // Dimensions



          {50, 1000}







          share|improve this answer











          $endgroup$













          • $begingroup$
            Great ... what do you think about result2. Now the Indices in the result2 double loop are correct.
            $endgroup$
            – lio
            21 mins ago










          • $begingroup$
            @lio, please see the update.
            $endgroup$
            – kglr
            12 mins ago














          1












          1








          1





          $begingroup$

          r1 = Total[1 - Unitize[data1[[All, 2, 1]] - 1], {2}] 

          Short @ %



          {5,5,4,6,5,8,5,6,5,4,8,6,3,3,2,7,2,9,5,6,4,5,3,8,7,6,8,3,7,5,9,4,7,6,5,4,5,5,<<925>>,7,5,6,6,3,5,4,6,6,9,7,9,5,6,4,3,8,4,4,6,6,9,6,6,3,8,3,4,1,8,4,4,4,5,7,8,5}




          r2 = Join @@@ Total[1 - Unitize[data2[[All, All, 2]] - 1], {4}];
          r2 // Dimensions



          {50, 1000}







          share|improve this answer











          $endgroup$



          r1 = Total[1 - Unitize[data1[[All, 2, 1]] - 1], {2}] 

          Short @ %



          {5,5,4,6,5,8,5,6,5,4,8,6,3,3,2,7,2,9,5,6,4,5,3,8,7,6,8,3,7,5,9,4,7,6,5,4,5,5,<<925>>,7,5,6,6,3,5,4,6,6,9,7,9,5,6,4,3,8,4,4,6,6,9,6,6,3,8,3,4,1,8,4,4,4,5,7,8,5}




          r2 = Join @@@ Total[1 - Unitize[data2[[All, All, 2]] - 1], {4}];
          r2 // Dimensions



          {50, 1000}








          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 10 mins ago

























          answered 34 mins ago









          kglrkglr

          188k10205422




          188k10205422












          • $begingroup$
            Great ... what do you think about result2. Now the Indices in the result2 double loop are correct.
            $endgroup$
            – lio
            21 mins ago










          • $begingroup$
            @lio, please see the update.
            $endgroup$
            – kglr
            12 mins ago


















          • $begingroup$
            Great ... what do you think about result2. Now the Indices in the result2 double loop are correct.
            $endgroup$
            – lio
            21 mins ago










          • $begingroup$
            @lio, please see the update.
            $endgroup$
            – kglr
            12 mins ago
















          $begingroup$
          Great ... what do you think about result2. Now the Indices in the result2 double loop are correct.
          $endgroup$
          – lio
          21 mins ago




          $begingroup$
          Great ... what do you think about result2. Now the Indices in the result2 double loop are correct.
          $endgroup$
          – lio
          21 mins ago












          $begingroup$
          @lio, please see the update.
          $endgroup$
          – kglr
          12 mins ago




          $begingroup$
          @lio, please see the update.
          $endgroup$
          – kglr
          12 mins ago


















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