With regards to lack of local variables for lambda functions, I've observed
that local is the typical case, and nonlocal is somewhat rare.

Wouldn't it make sense to make all variable assignments local for lambda
functions local, unless stated otherwise?

Regards,
Elias

On 13 Aug 2016 8:05 pm, "Juergen Sauermann" <[email protected]>
wrote:

> Hi Louis,
>
> a quick answer to your question beforehand, I will look into the bugs
> later.
>
> GNU APL has implemented the power operator according to the description
> in the book "Mastering Dyalog APL". The ISO standard says nothing about
> this
> operator, it is simply not defined there.
>
> In "Mastering Dyalog APL" I haven't found the monadic case for the right
> function argument
> G of the power operator. In that book G seems to be always dyadic. So the
> monadic case looks
> like a new Dyalog invention. And, if it is defined like you say, IMHO not
> the ultimate wisdom.
>
> What I do not like at all is the fact that in the dyadic case F is being
> computed *before* G (it has to,
> because you need the result *⍺F⍵* or *F⍵* as left argument of G. And, as
> you say, in the monadic
> case F is being computed *after* G.
>
> I could imagine to implement the monadic G if it were always computed
> after F so that the order
> of execution is consistent for the monadic and dyadic cases. But if Dyalog
> really has different orders
> then I would prefer to not implement the monadic case in GNU APL at all
> because then I would only
> have the choice between an inconsistent execution order (which is, in my
> opinion, bad) or an
> incompatibility with Dyalog APL (which is also bad).
>
> Actually in GNU APL lambdas can be ambivalent, but monadic functions
> (lambda or not) cannot be
> ambivalent. Localizing variables assigned in lambdas automatically is
> technically possible but would
> break backward  compatibility of existing workspaces. There was a
> discussion on this topic earlier this
> year, but no progress lately. I was thinking of some ⎕-function (like ⎕FX
> but with {} syntax that would
> allow you to created lambdas with more control over the localization of
> variables).
>
> BTW, I read the word* until* in your description below as F being called
> before G and not after G,
> even in the monadic case.
>
> /// Jürgen
>
>
>
> On 08/13/2016 08:24 AM, Louis de Forcrand wrote:
>
> I’ll start with the question:
>
> The Dyalog 15.0 manual states that the power operator can take a
> function right argument. In this case, that function can be
> either monadic or dyadic, and can be a lambda.
> If it’s monadic:
>
>   (F⍣G) ⍵  ←→  ⍵ ←   F ⍵  until          G ⍵
> ⍺ (F⍣G) ⍵  ←→  ⍵ ← ⍺ F ⍵  until          G ⍵
>
> If it’s dyadic:
>
>   (F⍣G) ⍵  ←→  ⍵ ←   F ⍵  until  (  F ⍵) G ⍵
> ⍺ (F⍣G) ⍵  ←→  ⍵ ← ⍺ F ⍵  until  (⍺ F ⍵) G ⍵
>
> (Note that G is checked before the first time F is executed.)
>
> I don’t know what the ISO standard says on this, but in GNU APL,
> dyadic G works as in Dyalog. However, “monadic” lambda G has to
> be a weird function that takes both a left and a right argument,
> and discards the left one. That is:
>
> Dyalog: GNU:
> F⍣{G ⍵} F⍣{⍺⊢G ⍵}
>
> Is this because lambdas can’t be ambivalent? If so, I see two
> solutions:
>
> - Make ⍣ check G’s valence.
>
> - Better: I know it’s possible to write an ambivalent tradfn
>   (function defined with the ∇-editor) by using ⎕NC on the
>   left argument; wouldn’t it be possible to implement lambdas
>   containing only ⍵ as ambivalent, so ⍺ is simply never used
>   even if it is defined (or defined even if it isn’t used)?
>   In fact, dyadic tradfns work in this way.
>
> Not only would this allow for cleaner use of ⍣, but it would
> also allow for “cleaner” case statements in lambdas:
>
> {⍎(‘case0’ ‘case1’ ‘case2’ ‘etc.’)[condition]}
>
> which is probably the only place one would use this.
>
> As of now, if ⍺ is present in one of the case statements but
> not in the rest of the function, then ⍺⊢ must be prepended to
> the lambda.
>
> While on the subject of lambdas, IMHO variables assigned inside
> lambdas should be made local. More than once I’ve used a named
> lambda in a tradfn and have found that one of its local variables
> was modified by the lambda. Although I imagine named lambdas must
> be a pain to implement.
>
> Also, I noticed that the assignment of a lambda to a name
> returns a vector of the name of the lambda. It would be
> interesting if it could return the actual lambda (of course this
> probably isn’t feasible, since it would require function
> returning expressions, a.k.a. tacit programming).
>
>
> Now on to the bugs:
>
>
>       (g d)←'ATCTGAT' 'TGCATA'
>       {((1↓X)Y((⊃X),Z)),[¯.5]X(1↓Y)((⊃Y),Z)⊣(X Y Z)←⍵}g d ⍬
>  TCTGAT  ATCTGAT
>  TGCATA  GCATA
>  ATCTGAT TGCATA
>       {((1↓X)Y((⊃X),Z)),[.5]X(1↓Y)((⊃Y),Z)⊣(X Y Z)←⍵}g d ⍬
>  TCTGAT  ATCTGAT
>  TGCATA  GCATA
>  ATCTGAT TGCATA
>
> These should be transposed. ⎕IO ←→ 0, so ,[¯.5] should give a two row,
> three column matrix.
>
>
> ←———————            -            -            -            ———————→
>
>
>       )SI
> ⋆⋆
>
> ============================================================
> ==================
> Assertion failed: idx < items_valid
> in Function:      operator[]
> in file:          ./Simple_string.hh:140
>
> Call stack:
>
> ----------------------------------------
> -- Stack trace at ./Simple_string.hh:140
> ----------------------------------------
> 0xa @@@@
> 0xa  @@@@
> 0xa   @@@@
> 0xa    @@@@
> 0xa     @@@@
> 0xa      @@@@
> 0xa       @@@@
> 0xa        @@@@
> 0xa         @@@@
> ========================================
>
> SI stack:
>
> Depth:      9
> Exec:       0x7f98db4177b0
> Safe exec:  0
> Pmode:    ⍎  (1↓R)((=/0⌷¨V)↓⍵⊃⍨~⍺)((2⊃⍵),1↑R←⍺⊃V)
> PC:       27 /
> Stat:     (1↓R)((=/0⌷¨V)↓⍵⊃⍨~⍺)((2⊃⍵),1↑R←⍺⊃V)
> err_code: 0x50005
> thrown:   at Value.cc:1051
> e_msg_1:  'INDEX ERROR+'
> e_msg_2:  '      (1↓R)((=/0⌷¨V)↓⍵⊃⍨∼⍺)((2⊃⍵),1↑R←⍺⊃V)'
> e_msg_3:  '               ^           ^'
>
> Depth:      8
> Exec:       0x7f98db41b9f0
> Safe exec:  0
> Pmode:    ∇
> ============================================================
> ==================
> Assertion failed: idx < items_valid
> in Function:      operator[]
> in file:          ./Simple_string.hh:140
>
> Call stack:
> *** do_Assert() called recursively ***
> ============================================================
> ==================
> *** immediate_execution() caught other exception ***
>
> I’m sorry I couldn’t include the input preceding that )SI, it's long and
> very
> hard to reproduce. I hope this is enough to help :-⌈
>
> ~———~
>
> I’d like to thank you for your very hard work. I don’t know of any other
> APL
> which adheres to the standard while being as bug free as yours, and is a
> one-man project. Let alone all three!
> Keep in mind everything I suggest is the personal opinion of someone with
> very
> little experience with C++ish languages. I’m sure you know better than I
> do how
> to shape your APL. After all, you’re the one writing it!
>
> Best of luck,
> Louis
>
>
>

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