From: James Stein on 7 Jul 2010 07:41 The definition of Set (=) is straight forward: "*lhs=rhs* evaluates *rhs* and assigns the result to be the value of *lhs*. From then on, *lhs* is replaced by *rhs* whenever it appears." How then to explain the output of cell 4 below, when cells 1 through 5 are evaluated in sequence (but not all at once, e.g. do NOT select all five cells and then press shift-return) ? (* cell 1 *) foo = 1; Print [ foo ] (* cell 2 *) foo = 2; Print [ foo ] (* cell 3 *) ClearAll [ evaluate, foo ]; evaluate[n_Integer] := Module [ {nb, id, sel}, Print [ "entering evaluate[", n, "], foo=", foo ]; nb = EvaluationNotebook [ ]; id = "cell " <> ToString [ n ]; (* find desired string and select it: *) sel = NotebookFind [ nb, id ]; If [ sel == $Failed, Return [ sel ] ]; (* select entire cell containing string: *) SelectionMove [ nb, All, Cell ]; (* set foo by evaluating selected cell: *) SelectionEvaluate [ nb ]; (* verify[??] that foo has a new value *) Print [ "exiting evaluate[", n, "], foo=", foo ]; Return [ foo ]; ]; (* cell 4 *) foo = 0; evaluate [1]; foo evaluate [2]; foo (* returns 0 *) (* cell 5 *) foo (* returns 2 *) If you enter the above, not all in a single cell but in five separate cells, then evaluate each cell in turn, you will discover that consecutive evaluations of 'foo' (the last two) return different values. How can this be? I was under the impression that Mathematica maintains a single symbol table. In this table will be an entry for "foo", with various associated definitions, values, syntax information, attributes, etc. So how is the following sequence be explained? Assign foo the value 2. (penultimate line in cell 4) Display foo (value is 0) (last line in cell 4) Display foo (value is 2) (last line in cell 5)
From: David Bailey on 8 Jul 2010 03:13 On 07/07/10 12:41, James Stein wrote: > The definition of Set (=) is straight forward: "*lhs=rhs* > > evaluates *rhs* and assigns the result to be the value of *lhs*. From then > on, *lhs* is replaced by *rhs* whenever it appears." > > > How then to explain the output of cell 4 below, when cells 1 through 5 are > evaluated in sequence (but not all at once, e.g. do NOT select all five > cells and then press shift-return) ? > > > (* cell 1 *) > foo = 1; > Print [ foo ] > > > (* cell 2 *) > foo = 2; > Print [ foo ] > > > (* cell 3 *) > ClearAll [ evaluate, foo ]; > evaluate[n_Integer] := Module [ {nb, id, sel}, > Print [ "entering evaluate[", n, "], foo=", foo ]; > nb = EvaluationNotebook [ ]; > id = "cell "<> ToString [ n ]; > (* find desired string and select it: *) > sel = NotebookFind [ nb, id ]; > If [ sel == $Failed, Return [ sel ] ]; > (* select entire cell containing string: *) > SelectionMove [ nb, All, Cell ]; > (* set foo by evaluating selected cell: *) > SelectionEvaluate [ nb ]; > (* verify[??] that foo has a new value *) > Print [ "exiting evaluate[", n, "], foo=", foo ]; > Return [ foo ]; > ]; > > > (* cell 4 *) > foo = 0; > evaluate [1]; > foo > evaluate [2]; > foo (* returns 0 *) > > > (* cell 5 *) > foo (* returns 2 *) > > > If you enter the above, not all in a single cell but in five separate > cells, then evaluate each cell in turn, you will discover that consecutive > evaluations of 'foo' (the last two) return different values. > > > How can this be? I was under the impression that Mathematica maintains a > single symbol table. In this table will be an entry for "foo", with various > associated definitions, values, syntax information, attributes, etc. So how > is the following sequence be explained? > > Assign foo the value 2. (penultimate line in cell 4) > > Display foo (value is 0) (last line in cell 4) > > Display foo (value is 2) (last line in cell 5) > > The crucial point here is that SelectionEvaluate *queues* the evaluation to happen when the previous one is complete - it is not analogous to calling a function. Although I have not worked through your example in detail, I am pretty sure this is what is involved here. SelectionEvaluate is a fairly specialised thing to use - do you have a good reason to do so - for example a call to Switch to select among various strings might solve your problem more elegantly (and much more efficiently!). David Bailey http://www.dbaileyconsultancy.co.uk
From: John Fultz on 8 Jul 2010 03:14 The problem isn't in Set, it's in SelectionEvaluate. SelectionEvaluate doesn't do what you think it does. You think it's evaluating the selection immediately. Instead, it's queuing the selection to be evaluated, and the actual evaluation occurs after the present evaluation of cell4 is finished. There are various ways to get the behavior you want, but none particularly easy. I hesitate to recommend anything specific without having a better idea of what the big picture is of the thing you're trying to accomplish. Sincerely, John Fultz jfultz(a)wolfram.com User Interface Group Wolfram Research, Inc. On Wed, 7 Jul 2010 07:43:12 -0400 (EDT), James Stein wrote: > The definition of Set (=) is straight forward: "*lhs=rhs* > > evaluates *rhs* and assigns the result to be the value of *lhs*. From > then > on, *lhs* is replaced by *rhs* whenever it appears." > > > How then to explain the output of cell 4 below, when cells 1 through 5 are > evaluated in sequence (but not all at once, e.g. do NOT select all five > cells and then press shift-return) ? > > > (* cell 1 *) > foo = 1; > Print [ foo ] > > > (* cell 2 *) > foo = 2; > Print [ foo ] > > > (* cell 3 *) > ClearAll [ evaluate, foo ]; > evaluate[n_Integer] := Module [ {nb, id, sel}, > Print [ "entering evaluate[", n, "], foo=", foo ]; > nb = EvaluationNotebook [ ]; > id = "cell " <> ToString [ n ]; > (* find desired string and select it: *) > sel = NotebookFind [ nb, id ]; > If [ sel == $Failed, Return [ sel ] ]; > (* select entire cell containing string: *) > SelectionMove [ nb, All, Cell ]; > (* set foo by evaluating selected cell: *) > SelectionEvaluate [ nb ]; > (* verify[??] that foo has a new value *) > Print [ "exiting evaluate[", n, "], foo=", foo ]; > Return [ foo ]; > ]; > > > (* cell 4 *) > foo = 0; > evaluate [1]; > foo > evaluate [2]; > foo (* returns 0 *) > > > (* cell 5 *) > foo (* returns 2 *) > > > If you enter the above, not all in a single cell but in five separate > cells, then evaluate each cell in turn, you will discover that consecutive > evaluations of 'foo' (the last two) return different values. > > > How can this be? I was under the impression that Mathematica maintains a > single symbol table. In this table will be an entry for "foo", with > various > associated definitions, values, syntax information, attributes, etc. So > how > is the following sequence be explained? > > Assign foo the value 2. (penultimate line in cell 4) > > Display foo (value is 0) (last line in cell 4) > > Display foo (value is 2) (last line in cell 5)
From: James Stein on 8 Jul 2010 20:33 Dear David and John, Thanks for your explanations. I remember now what I was trying to do with SelectionEvaluate. It was something like this (I simplify the situation): Suppose 'g' is a deeply recursive function, defined something like this (to make calculations faster by preventing re-valuation with identical arguments,): g [ n_Integer, a_List ] :== g [ n, a ] == Module [ (* =85 *) ] ; I discovered that I often wanted to be able to clear currently retained computed values of g, then compute another value of g, without having to evaluate (click in) more than one cell. Placing the evaluation of g in the same cell where g was defined was a bad choice during debugging. Looking for a solution, it appeared that 'EvaluateSelection' might work. In retrospect, I could have simply changed the second g to an f: g [ n_Integer, a_List ] :== f [ n, a ] == Module [ (* =85 *) ] ; Then something like this, in a single cell, works: Clear [ f ] g [ 3, { 1, 2, 3 } ] Clear [ f ] g [ 4, { 5, 3, 12} ]
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