Re: [Jprogramming] J and Spreadsheets

[Hauke Rehr]

… and here’s a J implementation (and output)
but I stumbled upon another aspect that didn’t
match the specification as I understood it:

consider the first example 13510:
your solution contains SIMUL which is 13509
so I implemented that whenever either of them
has a 0, they match. I think that’s wrong.
The query may be more general but not more
specific than the things we want it to match.

In my D implementation, it’s in the function
match in lines 105 through 117, (I already
wondered if it’s wrong but didn’t check again
after I found I got your ‘correct’ results);
in the J script, it’s where the comment says
what’s superfluous.

… and I edited the 0 : 0 content (added an LF)
in order to not have to do too much parsing

cheers,
Hauke


Am 08.01.21 um 04:41 schrieb Hauke Rehr:
> I jotted down a q&d-implementation in D.
> When I found out that your example doesn’t
> fit the hierarcical layout (multiple instances
> for 11, for example, so 11 isn’t a category
> even though there are things like 111),
> I ripped out the code depending on the hierarchy.
> 
> The results agree with your results so I think
> this should be a correct re-implementation.
> 
> Am 08.01.21 um 00:30 schrieb Hauke Rehr:
>> That post was written too soon.
>> Now that I’ve taken a look at what ordinal fractions
>> are meant to be, it looks to me more like what I think
>> I first came to know when learning some prolog.
>> I try to write down my new understanding of ordinal fractions,
>> in a more old-fashioned lingo of enums (concepts)
>> with their elements, and tagging data with them:
>>
>> there is an a priori given set of hierarchical enums
>> where subordinate ones’ range and meaning may depend
>> on superordinate ones
>> you tag any data by at most one element of each enum
>> where the elements themselves are part of the data
>> (and are tagged by themselves only)
>> any data with an incomplete set of tags is a category
>> all “leaf data” if thought of the hierarchy as a tree
>> is given a full set of tags.
>> then you just do some matching where everything matches unless
>> there is an enum the things to be matched both have an entry of
>> and where the entries don’t agree
>>
>> @bo: Is this “translation” of the concept of ordinal fractions adequate?
>>
>>
>>
> 

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credo =: a: -.~<;._1 LF,0 : 0
1 CREDO 
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111 UNUM 
11 DEUM 
112 PATREM 
1121 OMNIPOTENTEM 
113 FACTOREM 
1131 CÆLI 
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11331 VISIBILIUM 
1133 OMNIUM 
11339 ET 
11332 INVISIBILIUM 
19 ET 
12 IN 
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1211 DOMINUM 
12 JESUM 
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12121 UNIGENITUM 
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121311 OMNIA 
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1221 DEUM 
12211 DE 
12211 DEO 
1222 LUMEN 
12221 DE 
12221 LUMINE 
1223 DEUM 
12231 VERUM 
12232 DE 
12232 DEO 
122321 VERO 
1231 GENITUM 
12311 NON 
12311 FACTUM 
1232 CONSUBSTANTIALEM 
1232 PATRI 
12321 PER 
12321 QUEM 
12321 OMNIA 
12321 FACTA 
12321 SUNT 
124 QUI 
124101 PROPTER 
124101 NOS 
12410101 HOMINES 
124109 ET 
124102 PROPTER 
12410201 NOSTRAM 
124102 SALUTEM 
12411 DESCENDIT 
1241101 DE 
1241101 CÆLIS 
12419 ET 
12412 INCARNATUS EST 
1241201 DE 
1241201 SPIRITU
124120101 SANCTO 
1241202 EX 
1241202 MARIA 
124120201 VIRGINE 
12419 ET 
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124211 CRUCIFIXUS 
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124219 ET 
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12421 EST 
12429 ET 
12422 RESURREXIT 
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12429 ET 
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124231 IN 
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12424 SEDET 
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19 ET 
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132 DOMINUM 
139 ET 
133 VIVIFICANTEM 
134 QUI 
134 EX 
1341 PATRE 
1342 FILIO 
1349 QUE 
134 PROCEDIT 
135 QUI 
135 CUM 
13501 PATRE 
13509 ET 
13502 FILIO 
13509 SIMUL 
1351 ADORATUR 
1359 ET 
1352 GLORIFICATUR 
136 QUI 
136 LOCUTUS EST 
1361 PER 
1361 PROPHETAS 
19 ET 
141 UNAM 
142 SANCTAM 
143 CATHOLICAM 
149 ET 
144 APOSTOLICAM 
14 ECCLESIAM 
2 CONFITEOR 
211 UNUM 
21 BAPTISMA 
212 IN 
212 REMISSIONEM 
2121 PECCATORUM 
9 ET 
3 EXPECTO 
31 RESURRECTIONEM 
311 MORTUORUM 
39 ET 
32 VITAM 
3211 VENTURI 
321 SÆCULI 
 AMEN 
)

test =: 13510 13520 13501 13502 13511 13512 13521 13522
join =: ([,' ',])&.>/
cred =: ((<'0')"_^:(a:&=)@{. , join@}.)@(<;._1@(' '&,))&> credo
trailing =: 0 = 0 $@-.~ ] }.~ <.&#
aligned =: (= +. ('0' = [) +. '0' = ])/@:(<.&# {."1 ,:) NB. '0' = [ is wrong
match =: trailing&> *. *./@(aligned&>)
get =: {:"1@] #~ <@[ ,@:match {."1@]
prayers =: > join"1 (":"0 test) get"1 _ cred


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