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How to explain the behaviour of TreeForm?


With/Function(/etc) replacement behaviourdirect assignment to the element in a TableSome _atomic elements' TreeForm looks confusing with Level in appearanceConverting expressions to “edges” for use in TreePlot, GraphTreeForm expression that will automatically spread nodes vertically so labels do not overlapInserting symbols' definitions during read time of the codeUnderstanding the output formatting of held formsHow to stop TreeForm from shaking when changing resolution?Strange behaviour of ValueQ inside loopsStrange behaviour (or issue?) in using evaluation of held argument inside a table in Mathematica













7












$begingroup$


Just try this:



g=1;a=1;TreeForm[Hold[g[a]]]


The weird thing in the outcome is that the node of g displays 1 ,and a is still a.
I do not know how to explain the behaviour of TreeForm.










share|improve this question











$endgroup$
















    7












    $begingroup$


    Just try this:



    g=1;a=1;TreeForm[Hold[g[a]]]


    The weird thing in the outcome is that the node of g displays 1 ,and a is still a.
    I do not know how to explain the behaviour of TreeForm.










    share|improve this question











    $endgroup$














      7












      7








      7





      $begingroup$


      Just try this:



      g=1;a=1;TreeForm[Hold[g[a]]]


      The weird thing in the outcome is that the node of g displays 1 ,and a is still a.
      I do not know how to explain the behaviour of TreeForm.










      share|improve this question











      $endgroup$




      Just try this:



      g=1;a=1;TreeForm[Hold[g[a]]]


      The weird thing in the outcome is that the node of g displays 1 ,and a is still a.
      I do not know how to explain the behaviour of TreeForm.







      evaluation hold trees






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited Apr 30 at 16:23









      user64494

      3,65211222




      3,65211222










      asked Apr 30 at 13:46









      任天一任天一

      1397




      1397




















          2 Answers
          2






          active

          oldest

          votes


















          5












          $begingroup$

          I would call this a bug. Please report it to Wolfram.



          IGraph/M's IGExpressionTree can handle this:



          IGExpressionTree[Hold[g[a]]]


          enter image description here



          The documentation has examples that show how to get a more TreeForm-like output. Do keep in mind that the purpose of IGExpressionTree is not a perfect visualization of expressions, but simply converting fairly benign expressions to Graph (or rather to generate tree graphs which are easier to assemble as expressions). It is definitely possible to construct examples where it leaks evaluation, and I am not going to fix these if the fix would affect performance.






          share|improve this answer











          $endgroup$




















            3












            $begingroup$

            If the symbols with OwnValues are all on the context path, then one idea is to write the expression to a string or file, where contexts are not included, and then to block the context and context path so that all symbols are loaded in a temporary context. The symbols in the temporary context will not have OwnValues, so you can use TreeForm without worrying about leaky symbols.



            There is one issue to deal with. The new symbols should only be temporary, which means the output should not contain any references to these symbols. The way to fix this is to convert the TreeForm output to boxes, and then remove the symbols before returning the TreeForm box output. I will use Export[..., "Text"] to convert the expression to a string, there may be better options:



            sealedTreeForm[expr_] := With[es = ExportString[expr, "Text"],
            Block[$Context="FOO`", $ContextPath="System`", "FOO`",
            Internal`WithLocalSettings[
            Null,
            Quiet[
            RawBoxes @ ToBoxes @ TreeForm @ ImportString[es],
            General::shdw
            ],
            Remove["FOO`*"]
            ]
            ]
            ]


            Example:



            g=1; a=1; sealedTreeForm[Hold[g[a]]]


            enter image description here






            share|improve this answer









            $endgroup$













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              2 Answers
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              2 Answers
              2






              active

              oldest

              votes









              active

              oldest

              votes






              active

              oldest

              votes









              5












              $begingroup$

              I would call this a bug. Please report it to Wolfram.



              IGraph/M's IGExpressionTree can handle this:



              IGExpressionTree[Hold[g[a]]]


              enter image description here



              The documentation has examples that show how to get a more TreeForm-like output. Do keep in mind that the purpose of IGExpressionTree is not a perfect visualization of expressions, but simply converting fairly benign expressions to Graph (or rather to generate tree graphs which are easier to assemble as expressions). It is definitely possible to construct examples where it leaks evaluation, and I am not going to fix these if the fix would affect performance.






              share|improve this answer











              $endgroup$

















                5












                $begingroup$

                I would call this a bug. Please report it to Wolfram.



                IGraph/M's IGExpressionTree can handle this:



                IGExpressionTree[Hold[g[a]]]


                enter image description here



                The documentation has examples that show how to get a more TreeForm-like output. Do keep in mind that the purpose of IGExpressionTree is not a perfect visualization of expressions, but simply converting fairly benign expressions to Graph (or rather to generate tree graphs which are easier to assemble as expressions). It is definitely possible to construct examples where it leaks evaluation, and I am not going to fix these if the fix would affect performance.






                share|improve this answer











                $endgroup$















                  5












                  5








                  5





                  $begingroup$

                  I would call this a bug. Please report it to Wolfram.



                  IGraph/M's IGExpressionTree can handle this:



                  IGExpressionTree[Hold[g[a]]]


                  enter image description here



                  The documentation has examples that show how to get a more TreeForm-like output. Do keep in mind that the purpose of IGExpressionTree is not a perfect visualization of expressions, but simply converting fairly benign expressions to Graph (or rather to generate tree graphs which are easier to assemble as expressions). It is definitely possible to construct examples where it leaks evaluation, and I am not going to fix these if the fix would affect performance.






                  share|improve this answer











                  $endgroup$



                  I would call this a bug. Please report it to Wolfram.



                  IGraph/M's IGExpressionTree can handle this:



                  IGExpressionTree[Hold[g[a]]]


                  enter image description here



                  The documentation has examples that show how to get a more TreeForm-like output. Do keep in mind that the purpose of IGExpressionTree is not a perfect visualization of expressions, but simply converting fairly benign expressions to Graph (or rather to generate tree graphs which are easier to assemble as expressions). It is definitely possible to construct examples where it leaks evaluation, and I am not going to fix these if the fix would affect performance.







                  share|improve this answer














                  share|improve this answer



                  share|improve this answer








                  edited Apr 30 at 15:42

























                  answered Apr 30 at 15:19









                  SzabolcsSzabolcs

                  166k15453958




                  166k15453958





















                      3












                      $begingroup$

                      If the symbols with OwnValues are all on the context path, then one idea is to write the expression to a string or file, where contexts are not included, and then to block the context and context path so that all symbols are loaded in a temporary context. The symbols in the temporary context will not have OwnValues, so you can use TreeForm without worrying about leaky symbols.



                      There is one issue to deal with. The new symbols should only be temporary, which means the output should not contain any references to these symbols. The way to fix this is to convert the TreeForm output to boxes, and then remove the symbols before returning the TreeForm box output. I will use Export[..., "Text"] to convert the expression to a string, there may be better options:



                      sealedTreeForm[expr_] := With[es = ExportString[expr, "Text"],
                      Block[$Context="FOO`", $ContextPath="System`", "FOO`",
                      Internal`WithLocalSettings[
                      Null,
                      Quiet[
                      RawBoxes @ ToBoxes @ TreeForm @ ImportString[es],
                      General::shdw
                      ],
                      Remove["FOO`*"]
                      ]
                      ]
                      ]


                      Example:



                      g=1; a=1; sealedTreeForm[Hold[g[a]]]


                      enter image description here






                      share|improve this answer









                      $endgroup$

















                        3












                        $begingroup$

                        If the symbols with OwnValues are all on the context path, then one idea is to write the expression to a string or file, where contexts are not included, and then to block the context and context path so that all symbols are loaded in a temporary context. The symbols in the temporary context will not have OwnValues, so you can use TreeForm without worrying about leaky symbols.



                        There is one issue to deal with. The new symbols should only be temporary, which means the output should not contain any references to these symbols. The way to fix this is to convert the TreeForm output to boxes, and then remove the symbols before returning the TreeForm box output. I will use Export[..., "Text"] to convert the expression to a string, there may be better options:



                        sealedTreeForm[expr_] := With[es = ExportString[expr, "Text"],
                        Block[$Context="FOO`", $ContextPath="System`", "FOO`",
                        Internal`WithLocalSettings[
                        Null,
                        Quiet[
                        RawBoxes @ ToBoxes @ TreeForm @ ImportString[es],
                        General::shdw
                        ],
                        Remove["FOO`*"]
                        ]
                        ]
                        ]


                        Example:



                        g=1; a=1; sealedTreeForm[Hold[g[a]]]


                        enter image description here






                        share|improve this answer









                        $endgroup$















                          3












                          3








                          3





                          $begingroup$

                          If the symbols with OwnValues are all on the context path, then one idea is to write the expression to a string or file, where contexts are not included, and then to block the context and context path so that all symbols are loaded in a temporary context. The symbols in the temporary context will not have OwnValues, so you can use TreeForm without worrying about leaky symbols.



                          There is one issue to deal with. The new symbols should only be temporary, which means the output should not contain any references to these symbols. The way to fix this is to convert the TreeForm output to boxes, and then remove the symbols before returning the TreeForm box output. I will use Export[..., "Text"] to convert the expression to a string, there may be better options:



                          sealedTreeForm[expr_] := With[es = ExportString[expr, "Text"],
                          Block[$Context="FOO`", $ContextPath="System`", "FOO`",
                          Internal`WithLocalSettings[
                          Null,
                          Quiet[
                          RawBoxes @ ToBoxes @ TreeForm @ ImportString[es],
                          General::shdw
                          ],
                          Remove["FOO`*"]
                          ]
                          ]
                          ]


                          Example:



                          g=1; a=1; sealedTreeForm[Hold[g[a]]]


                          enter image description here






                          share|improve this answer









                          $endgroup$



                          If the symbols with OwnValues are all on the context path, then one idea is to write the expression to a string or file, where contexts are not included, and then to block the context and context path so that all symbols are loaded in a temporary context. The symbols in the temporary context will not have OwnValues, so you can use TreeForm without worrying about leaky symbols.



                          There is one issue to deal with. The new symbols should only be temporary, which means the output should not contain any references to these symbols. The way to fix this is to convert the TreeForm output to boxes, and then remove the symbols before returning the TreeForm box output. I will use Export[..., "Text"] to convert the expression to a string, there may be better options:



                          sealedTreeForm[expr_] := With[es = ExportString[expr, "Text"],
                          Block[$Context="FOO`", $ContextPath="System`", "FOO`",
                          Internal`WithLocalSettings[
                          Null,
                          Quiet[
                          RawBoxes @ ToBoxes @ TreeForm @ ImportString[es],
                          General::shdw
                          ],
                          Remove["FOO`*"]
                          ]
                          ]
                          ]


                          Example:



                          g=1; a=1; sealedTreeForm[Hold[g[a]]]


                          enter image description here







                          share|improve this answer












                          share|improve this answer



                          share|improve this answer










                          answered Apr 30 at 16:14









                          Carl WollCarl Woll

                          77.1k3101202




                          77.1k3101202



























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