Data re-structure by Thread

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP











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2
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Thread can do this



Thread[a, b, c, d]



a, b, a, c, a, d



But when above a, b, c and d are themselves Lists, for instance, used as a representation for 2D/3D points, it will not work as a naive generalization



Thread[a, b, x, y, z, w, u, v]


which just raises an error.



Here what is intended for is



a, b, x, y, a, b, z, w, a, b, u, v


So can it still be realized by Thread? If yes, how? If no, then do there exist any concise and efficient workarounds?






list-manipulation data data-structures







share|improve this question

























    up vote
    2
    down vote

    favorite












    Thread can do this



    Thread[a, b, c, d]



    a, b, a, c, a, d



    But when above a, b, c and d are themselves Lists, for instance, used as a representation for 2D/3D points, it will not work as a naive generalization



    Thread[a, b, x, y, z, w, u, v]


    which just raises an error.



    Here what is intended for is



    a, b, x, y, a, b, z, w, a, b, u, v


    So can it still be realized by Thread? If yes, how? If no, then do there exist any concise and efficient workarounds?






    list-manipulation data data-structures







    share|improve this question























      up vote
      2
      down vote

      favorite









      up vote
      2
      down vote

      favorite











      Thread can do this



      Thread[a, b, c, d]



      a, b, a, c, a, d



      But when above a, b, c and d are themselves Lists, for instance, used as a representation for 2D/3D points, it will not work as a naive generalization



      Thread[a, b, x, y, z, w, u, v]


      which just raises an error.



      Here what is intended for is



      a, b, x, y, a, b, z, w, a, b, u, v


      So can it still be realized by Thread? If yes, how? If no, then do there exist any concise and efficient workarounds?






      list-manipulation data data-structures







      share|improve this question













      Thread can do this



      Thread[a, b, c, d]



      a, b, a, c, a, d



      But when above a, b, c and d are themselves Lists, for instance, used as a representation for 2D/3D points, it will not work as a naive generalization



      Thread[a, b, x, y, z, w, u, v]


      which just raises an error.



      Here what is intended for is



      a, b, x, y, a, b, z, w, a, b, u, v


      So can it still be realized by Thread? If yes, how? If no, then do there exist any concise and efficient workarounds?






      list-manipulation data data-structures




      list-manipulation data data-structures






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 2 hours ago









      Αλέξανδρος Ζεγγ

      1,723720




      1,723720




















          1 Answer
          1






          active

          oldest

          votes

















          up vote
          3
          down vote



          accepted










          A level specification can help (we have to specify the head to thread over, too):



          Thread[a, b, x, y, z, w, u, v, List, 2]



          a, b, x, y, a, b, z, w, a, b, u, v




          Note that this unpacks arrays, so I would not suggest that for big datasets. I that case, I would suggest as ConstantArray/`Transpose combo:



          Thread[RandomReal[-1, 1, 2], RandomReal[-1, 1, 1000000, 2], 
           List, 2] // Developer`PackedArrayQ // AbsoluteTiming

          Transpose[
           ConstantArray[RandomReal[-1, 1, 2], 1000000],
           RandomReal[-1, 1, 1000000, 2]
           
           ] // Developer`PackedArrayQ // AbsoluteTiming



          0.347755, False



          0.046035, True







          share|improve this answer






















          • It seems it. So any clarification for the curly brackets around 2 here? The F1 documentation of Thread does not mention level specification.
            – Î‘λέξανδρος Ζεγγ
            2 hours ago







          • 1




            For level specifications, f[...,n] with integer n usually means "until level n" while f[...,n] means "only at level n".
            – Henrik Schumacher
            2 hours ago







          • 1




            Sorry, do you mean f[..., n] in the latter?
            – Î‘λέξανδρος Ζεγγ
            2 hours ago






          • 1




            Yes. But I fixed the comment already. Thanks for the accept btw.
            – Henrik Schumacher
            2 hours ago






          • 1




            Your information on packed array is valuable.
            – Î‘λέξανδρος Ζεγγ
            1 hour ago










          Your Answer




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          1 Answer
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          active

          oldest

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          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

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          active

          oldest

          votes








          up vote
          3
          down vote



          accepted










          A level specification can help (we have to specify the head to thread over, too):



          Thread[a, b, x, y, z, w, u, v, List, 2]



          a, b, x, y, a, b, z, w, a, b, u, v




          Note that this unpacks arrays, so I would not suggest that for big datasets. I that case, I would suggest as ConstantArray/`Transpose combo:



          Thread[RandomReal[-1, 1, 2], RandomReal[-1, 1, 1000000, 2], 
           List, 2] // Developer`PackedArrayQ // AbsoluteTiming

          Transpose[
           ConstantArray[RandomReal[-1, 1, 2], 1000000],
           RandomReal[-1, 1, 1000000, 2]
           
           ] // Developer`PackedArrayQ // AbsoluteTiming



          0.347755, False



          0.046035, True







          share|improve this answer






















          • It seems it. So any clarification for the curly brackets around 2 here? The F1 documentation of Thread does not mention level specification.
            – Î‘λέξανδρος Ζεγγ
            2 hours ago







          • 1




            For level specifications, f[...,n] with integer n usually means "until level n" while f[...,n] means "only at level n".
            – Henrik Schumacher
            2 hours ago







          • 1




            Sorry, do you mean f[..., n] in the latter?
            – Î‘λέξανδρος Ζεγγ
            2 hours ago






          • 1




            Yes. But I fixed the comment already. Thanks for the accept btw.
            – Henrik Schumacher
            2 hours ago






          • 1




            Your information on packed array is valuable.
            – Î‘λέξανδρος Ζεγγ
            1 hour ago














          up vote
          3
          down vote



          accepted










          A level specification can help (we have to specify the head to thread over, too):



          Thread[a, b, x, y, z, w, u, v, List, 2]



          a, b, x, y, a, b, z, w, a, b, u, v




          Note that this unpacks arrays, so I would not suggest that for big datasets. I that case, I would suggest as ConstantArray/`Transpose combo:



          Thread[RandomReal[-1, 1, 2], RandomReal[-1, 1, 1000000, 2], 
           List, 2] // Developer`PackedArrayQ // AbsoluteTiming

          Transpose[
           ConstantArray[RandomReal[-1, 1, 2], 1000000],
           RandomReal[-1, 1, 1000000, 2]
           
           ] // Developer`PackedArrayQ // AbsoluteTiming



          0.347755, False



          0.046035, True







          share|improve this answer






















          • It seems it. So any clarification for the curly brackets around 2 here? The F1 documentation of Thread does not mention level specification.
            – Î‘λέξανδρος Ζεγγ
            2 hours ago







          • 1




            For level specifications, f[...,n] with integer n usually means "until level n" while f[...,n] means "only at level n".
            – Henrik Schumacher
            2 hours ago







          • 1




            Sorry, do you mean f[..., n] in the latter?
            – Î‘λέξανδρος Ζεγγ
            2 hours ago






          • 1




            Yes. But I fixed the comment already. Thanks for the accept btw.
            – Henrik Schumacher
            2 hours ago






          • 1




            Your information on packed array is valuable.
            – Î‘λέξανδρος Ζεγγ
            1 hour ago












          up vote
          3
          down vote



          accepted







          up vote
          3
          down vote



          accepted






          A level specification can help (we have to specify the head to thread over, too):



          Thread[a, b, x, y, z, w, u, v, List, 2]



          a, b, x, y, a, b, z, w, a, b, u, v




          Note that this unpacks arrays, so I would not suggest that for big datasets. I that case, I would suggest as ConstantArray/`Transpose combo:



          Thread[RandomReal[-1, 1, 2], RandomReal[-1, 1, 1000000, 2], 
           List, 2] // Developer`PackedArrayQ // AbsoluteTiming

          Transpose[
           ConstantArray[RandomReal[-1, 1, 2], 1000000],
           RandomReal[-1, 1, 1000000, 2]
           
           ] // Developer`PackedArrayQ // AbsoluteTiming



          0.347755, False



          0.046035, True







          share|improve this answer














          A level specification can help (we have to specify the head to thread over, too):



          Thread[a, b, x, y, z, w, u, v, List, 2]



          a, b, x, y, a, b, z, w, a, b, u, v




          Note that this unpacks arrays, so I would not suggest that for big datasets. I that case, I would suggest as ConstantArray/`Transpose combo:



          Thread[RandomReal[-1, 1, 2], RandomReal[-1, 1, 1000000, 2], 
           List, 2] // Developer`PackedArrayQ // AbsoluteTiming

          Transpose[
           ConstantArray[RandomReal[-1, 1, 2], 1000000],
           RandomReal[-1, 1, 1000000, 2]
           
           ] // Developer`PackedArrayQ // AbsoluteTiming



          0.347755, False



          0.046035, True








          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 2 hours ago

























          answered 2 hours ago









          Henrik Schumacher

          38.2k250110




          38.2k250110











          • It seems it. So any clarification for the curly brackets around 2 here? The F1 documentation of Thread does not mention level specification.
            – Î‘λέξανδρος Ζεγγ
            2 hours ago







          • 1




            For level specifications, f[...,n] with integer n usually means "until level n" while f[...,n] means "only at level n".
            – Henrik Schumacher
            2 hours ago







          • 1




            Sorry, do you mean f[..., n] in the latter?
            – Î‘λέξανδρος Ζεγγ
            2 hours ago






          • 1




            Yes. But I fixed the comment already. Thanks for the accept btw.
            – Henrik Schumacher
            2 hours ago






          • 1




            Your information on packed array is valuable.
            – Î‘λέξανδρος Ζεγγ
            1 hour ago
















          • It seems it. So any clarification for the curly brackets around 2 here? The F1 documentation of Thread does not mention level specification.
            – Î‘λέξανδρος Ζεγγ
            2 hours ago







          • 1




            For level specifications, f[...,n] with integer n usually means "until level n" while f[...,n] means "only at level n".
            – Henrik Schumacher
            2 hours ago







          • 1




            Sorry, do you mean f[..., n] in the latter?
            – Î‘λέξανδρος Ζεγγ
            2 hours ago






          • 1




            Yes. But I fixed the comment already. Thanks for the accept btw.
            – Henrik Schumacher
            2 hours ago






          • 1




            Your information on packed array is valuable.
            – Î‘λέξανδρος Ζεγγ
            1 hour ago















          It seems it. So any clarification for the curly brackets around 2 here? The F1 documentation of Thread does not mention level specification.
          – Î‘λέξανδρος Ζεγγ
          2 hours ago





          It seems it. So any clarification for the curly brackets around 2 here? The F1 documentation of Thread does not mention level specification.
          – Î‘λέξανδρος Ζεγγ
          2 hours ago





          1




          1




          For level specifications, f[...,n] with integer n usually means "until level n" while f[...,n] means "only at level n".
          – Henrik Schumacher
          2 hours ago





          For level specifications, f[...,n] with integer n usually means "until level n" while f[...,n] means "only at level n".
          – Henrik Schumacher
          2 hours ago





          1




          1




          Sorry, do you mean f[..., n] in the latter?
          – Î‘λέξανδρος Ζεγγ
          2 hours ago




          Sorry, do you mean f[..., n] in the latter?
          – Î‘λέξανδρος Ζεγγ
          2 hours ago




          1




          1




          Yes. But I fixed the comment already. Thanks for the accept btw.
          – Henrik Schumacher
          2 hours ago




          Yes. But I fixed the comment already. Thanks for the accept btw.
          – Henrik Schumacher
          2 hours ago




          1




          1




          Your information on packed array is valuable.
          – Î‘λέξανδρος Ζεγγ
          1 hour ago




          Your information on packed array is valuable.
          – Î‘λέξανδρος Ζεγγ
          1 hour ago

















           

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