Linda, it may also be useful to review the link I mentioned… the Cap [: is
actually added by 13 : when required to produce the tacit form, it is not
required in explicit as the link here explains:
https://code.jsoftware.com/wiki/Vocabulary/squarelfco
For example to find the number of distinct numbers in a list y ...
13 : '# ~. y'
[: # ~.
On execution this resolves to:
([: y) # ~.y
So [: is like a NOP (as in “no op” or “no operation”)
As the link explains in the section <More Information>...
Except for its appearance in code, ([: g h) is exactly equivalent to g@:h .
If you use a synonym for the Cap verb ([:), the synonym must be defined before
it is used to create a capped fork.
So you can “create trains” as Raul did by putting them in yourself, but where
an explicit expression contains ‘Function1 Function2 Noun’ the system call <13
: > adds the Cap to create the train ([: Function1 Function 2)
I hope this helps…/Rob
> On 13 Sep 2018, at 4:23 pm, 'Rob Hodgkinson' via Programming
> <[email protected]> wrote:
>
> Ahh I’m sorry Linda, that was my bad copy/paste into the email …
>
> Please ignore previous email, I have corrected the transcript below (and
> verified) so this should run without conflict (aside from being careful of
> quotes on copy/paste perhaps):
>
> Raul’s functions:
> D=:[: (^~ >:)/ (2 3$0 1 0 1 0 0) +/ .* ]
> pmt1200=:(%<:)@D * 1 0 1 */ .# ]
> pmt=: pmt1200@(%&1200 1 1)
> pmt 5.75 240 12500
> 87.7604
>
> My revised input for 13 : is also included here, as I had a mis-copy there
> too.
> Da=:13 : '(^~ >:)/ (2 3$0 1 0 1 0 0) +/ .* y’ NB. Removed the
> leading [: as not required for explicit (I could have left it in, but I’m
> trying to exactly reproduce Raul’s tacit definitions above), and added last
> term y to the explicit expression
> pmt1200a=: 13 : '((%<:)@Da y) * 1 0 1 */ .# y’ NB. Added last term y to
> the first and last “tine” of the fork Raul produced
> pmta=: 13 : 'pmt1200a@(%&1200 1 1) y’ NB. Added last term y
> (although this is not required as composition can be applied directly as Raul
> did without requiring explicit)
>
> NB. Let’s compare to Raul’s solution in email below ...
> Da
> [: (^~ >:)/ (2 3$0 1 0 1 0 0) +/ .* ] NB. Same
> definition as Raul above
> pmt1200a
> (% <:)@Da * 1 0 1 */ .# ] NB. Same
> pmta
> pmt1200a@(%&1200 1 1) NB. Same
>
> pmta 5.75 240 12500
> 87.7604 NB.
> Results match
>
>
> Sorry if I confused with previous transcript paste.
>
> …/Regards Rob
>
>
>> On 13 Sep 2018, at 3:21 pm, Linda Alvord <[email protected]> wrote:
>>
>> Here's a problem. I'm not having trouble with cut and paste so could you
>> show the working version.
>>
>> Also do not remove caps [: from tacit results as they are needed for the
>> explicit versions you are writing to work correctly.
>>
>>
>> D=:[: (^~ >:)/ (2 3$0 1 0 1 0 0) +/ .* ]
>> pmt1200a=:(%<:)@Da * 1 0 1 */ .#
>> |value error: Da
>> | pmt1200a=: (%<:)@Da*1 0 1*/ .#
>> |[-1] c:\users\linda\j64-807-user\temp\15.ijs
>>
>>
>>
>> Linda
>>
>> -----Original Message-----
>> From: Programming <[email protected]> On Behalf Of
>> 'Rob Hodgkinson' via Programming
>> Sent: Wednesday, September 12, 2018 11:26 PM
>> To: [email protected]
>> Subject: Re: [Jprogramming] Tacit form: How to handle intermediate
>>
>> Hi Linda, Raul’s functions may be input to 13: as shown here:
>>
>> Raul’s functions:
>> D=:[: (^~ >:)/ (2 3$0 1 0 1 0 0) +/ .* ]
>> pmt1200a=:(%<:)@Da * 1 0 1 */ .#
>> pmta=:pmt1200@(%&1200 1 1)
>> pmta 5.75 240 12500
>> 87.7604
>>
>> Revised as input to 13 : (note in the below the space required between ’13’
>> and ‘:’ and that I have “removed” any tacit addons (such as [:) to exactly
>> reproduce Raul’s tacit definitions ...
>> Da=:13 : '(^~ >:)/ (2 3$0 1 0 1 0 0) +/ .* y’ NB. Removed the
>> leading [: as not required for explicit (I could have left it in, but I’m
>> trying to exactly reproduce Raul’s tacit definitions above), and added last
>> term y to the explicit expression
>> pmt1200a=: 13 : '(%<:)@Da * 1 0 1 */ .# y’ NB. Added last term y
>> pmta=: 13 : 'pmt1200@(%&1200 1 1) y’ NB. Added last term y
>> (although this is not required as composition can be applied directly as
>> Raul did) without requiring explicit)
>>
>> NB. Let’s compare to Raul’s solution in email below ...
>> Da
>> [: (^~ >:)/ (2 3$0 1 0 1 0 0) +/ .* ] NB.
>> Same definition as Raul
>> pmt1200a
>> [: (% <:)@Da [: * 1 0 1 */ .# ] NB. Same
>> pmta
>> pmt1200@(%&1200 1 1)
>> pmta 5.75 240 12500
>> 87.7604
>>
>> HTH but if still unclear please expand ?
>>
>> For further reference re [: only having meaning in tacit form (which is why
>> I removed it for explicit form) it may be helpful to read this link:
>>
>> https://eur01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fcode.jsoftware.com%2Fwiki%2FVocabulary%2Fsquarelfco&data=02%7C01%7C%7Cc059f09bd44446fc424708d61928c374%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C636724060199447363&sdata=OrnLHRv1N%2Fe5lnADLmIGobGEQkw5kxYmbnHMVx84AIs%3D&reserved=0
>>
>> <https://eur01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fcode.jsoftware.com%2Fwiki%2FVocabulary%2Fsquarelfco&data=02%7C01%7C%7Cc059f09bd44446fc424708d61928c374%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C636724060199447363&sdata=OrnLHRv1N%2Fe5lnADLmIGobGEQkw5kxYmbnHMVx84AIs%3D&reserved=0>
>>
>> Thanks, Rob
>>
>>
>>> On 13 Sep 2018, at 1:05 am, Linda Alvord <[email protected]> wrote:
>>>
>>>
>>>
>>> When you'e're done f=: 13 :'...
>>>
>>> enter
>>> f
>>>
>>> If the result is tacit there will be no x or y. Instead you get a string
>>> of separate J symbols which J uses from right to left to follow your
>>> instructions.
>>>
>>> I need a laptop to check. Raul's function.
>>>
>>> Linda
>>>
>>>
>>>
>>> '
>>>
>>> Sent from my Verizon, Samsung Galaxy smartphone
>>> -------- Original message --------
>>> From: Raul Miller <[email protected]
>>> <mailto:[email protected]>>
>>> Date: 9/10/18 12:55 AM (GMT-05:00)
>>> To: Programming forum <[email protected]
>>> <mailto:[email protected]>>
>>> Subject: Re: [Jprogramming] Tacit form: How to handle intermediate
>>>
>>> x=:0 is bad form, so I am going to ignore that part.
>>>
>>> In fact, I'd eliminate all internal =: from that definition and start with:
>>>
>>> pmt=: 3 : 0
>>> 0 pmt y
>>> :
>>> 'r t b'=. y
>>> D=.(1 + r % 1200) ^ t
>>> b*(r % 1200) * D % D - 1
>>> )
>>>
>>> And our paranoia test is:
>>> pmt 5.75 240 12500
>>> 87.7604
>>>
>>> The next issue is that we're working with more than two values, that
>>> makes it a bit complicated.
>>>
>>> On the other hand, we never use x - if it's provide we ignore it. So
>>> I'm going to ignore it here. If that bothers you, use pmt=: pmt&] f.
>>> after we've got the tacit expression. (Using f. on the final
>>> expression will also protect from some damage if you happen to run the
>>> original with it's D=: expression...).
>>>
>>> Anyways...
>>>
>>> To simplify this slightly, notice that we never want to use the value
>>> of r. Instead, we always want r%1200. So we can divide y by 1200 1 1
>>> and work the remainder of the dyadic expression becomes:
>>>
>>> pmt1200=: 3 : 0
>>> 'r t b'=. y
>>> D=.(1 + r) ^ t
>>> b*r * D % D - 1
>>> )
>>>
>>> A tacit expression to compute D directly from this y would be:
>>> D=: [: (^~ >:)/ (2 3$0 1 0 1 0 0) +/ .* ]
>>>
>>> with that definition of D, pmt1200 can be
>>> pmt1200 =: (%<:)@D * 1 0 1 */ .# ]
>>>
>>> and our tacit pmt becomes
>>> pmt=: pmt1200@(%&1200 1 1)
>>>
>>> Trying it out:
>>> pmt 5.75 240 12500
>>> 87.7604
>>>
>>> Good enough?
>>>
>>> --
>>> Raul
>>> On Sun, Sep 9, 2018 at 9:55 PM Linda Alvord <[email protected]
>>> <mailto:[email protected]>> wrote:
>>>>
>>>> Here's a classic. Can anyone write this in tacit?
>>>>
>>>> NB. Mortgage is Rate Months Loan
>>>>
>>>> pmt=: 3 : 0
>>>> (x =: 0) pmt y
>>>> :
>>>> 'r t b'=:y
>>>> D=:(1 + r % 1200) ^ t
>>>> b*(r % 1200) * D % D - 1
>>>> )
>>>>
>>>> pmt 5.75 240 12500
>>>>
>>>> In 1961 I bought a house for $17,000. With a loan of $12,000 at 5.75
>>>> interest for 20 years. As a tenured teacher and a woman no bank would give
>>>> me a mortgage but for 20 years I payed the previous woman owner $87.77. At
>>>> the last payment it just so happened that I sold it.
>>>>
>>>> Linda
>>>>
>>>> -----Original Message-----
>>>> From: Programming <[email protected]
>>>> <mailto:[email protected]>> On Behalf Of 'Mike
>>>> Day' via Programming
>>>> Sent: Saturday, September 8, 2018 1:45 PM
>>>> To: [email protected] <mailto:[email protected]>
>>>> Subject: Re: [Jprogramming] Tacit form: How to handle intermediate
>>>>
>>>> Agreed on the "strong hint" in herona below. I got into that habit
>>>>
>>>> years ago in Fortran....
>>>>
>>>> And Sorry for the unintentional extra characters. (I'm seeing
>>>>
>>>> A-circumflex where I'd typed space!) Just as well we're not talking APL!
>>>>
>>>> Mike
>>>>
>>>>
>>>> On 08/09/2018 09:40, Martin Kreuzer wrote:
>>>>> @Linda
>>>>>
>>>>> I think that your
>>>>> heron=: 13 :'%:*/(s y),(s y)-y'
>>>>> looks superior to my initial approach as it gathers _all four_
>>>>> factors under the (*/) Times Insert.
>>>>>
>>>>> btw "Hope you have good classes!"
>>>>>
>>>>> For quite some time, I don't have classes any more, but once in a
>>>>> while do private tutoring; my last two students finished their
>>>>> 'matura' at Easter this year (and one of them is on 'work & travel'
>>>>> in New Zealand presently).
>>>>>
>>>>> @Mike
>>>>>
>>>>> Looking at your 'minor change' and the resulting tacit code,
>>>>> methinks that (sy=. s - y) is giving the interpreter a much stronger
>>>>> hint that there's a re-used intemediate result than the construct (' ...
>>>>> [ s2=.
>>>>> .... ') I used initially.
>>>>>
>>>>> -M
>>>>>
>>>>> At 2018-09-07 09:43, you wrote:
>>>>>
>>>>>> Fair enough, it looks neat, but doesn't deal with Martin
>>>>>> Kreuzer's original requirement to apply s just the once, ie how
>>>>>> should we handle the intermediate result, s?
>>>>>>
>>>>>> On the other hand, David Lambert and others propose variations on
>>>>>> how to factor the formula so as to use the result of s.
>>>>>>
>>>>>> It's usually easy in explicit form, harder in tacit form. It
>>>>>> seems to me that using 13 : ... is very helpful in developing a
>>>>>> tacit form, but it often fails to spot opportunities to save
>>>>>> intermediate results. 13 : ... isn't an optimising compiler - or
>>>>>> is it? It certainly doesn't spot the opportunity to save the
>>>>>> repeated (s y) in Linda's example.
>>>>>>
>>>>>> Somewhat to my surprise, a minor change to Linda's explicit
>>>>>> expression does result in a single applicaton of s in a quite
>>>>>> elegant tacit form:
>>>>>>
>>>>>> Â Â Â herona=: 13 :'%:*/sy,(sy=.s y)-y'
>>>>>>
>>>>>> Â Â Â herona 3 4 5
>>>>>>
>>>>>>
>>>>>>
>>>>>> Â Â Â herona 5 12 13
>>>>>>
>>>>>> 30
>>>>>>
>>>>>> Â Â Â herona
>>>>>>
>>>>>> [: %: [: */ s ([ , -) ]
>>>>>>
>>>>>>
>>>>>> Cheers,
>>>>>>
>>>>>> Mike
>>>>>>
>>>>>> On 07/09/2018 08:19, Linda Alvord wrote:
>>>>>>> It keeps getting simpler:
>>>>>>
>>>>>>> s=: 13 :'-:+/y'
>>>>>>> heron=: 13 :'%:*/(s y),(s y)-y'
>>>>>>> heron 3 4 5
>>>>>>> heron 4 5 6
>>>>>>> d
>>>>>>
>>>>>>
>>>>>>> ;:'[: -: +/'
>>>>>>
>>>>>>> heron
>>>>>>
>>>>>>> ;:'[: %: [: */ s , s - ]'
>>>>>>>
>>>>>>
>>>>>>> Explisit sentences are like English and the new language is the
>>>>>>> computers J anguage. First learn the words and then learn to read
>>>>>>> ghe ords in sentences. And just as you might when learning
>>>>>>> Spanish, you might in time begin to speak it.
>>>>>>
>>>>>>> Linda
>>>>>>
>>>>>>
>>>>>>> -----Original Message-----
>>>>>>> From: Programming <[email protected]> On
>>>>>>> Behalf Of David Lambert
>>>>>>> Sent: Thursday, September 6, 2018 6:11 PM
>>>>>>> To: programming <[email protected]>
>>>>>>> Subject: Re: [Jprogramming] Tacit form: How to handle intermediate
>>>>>>
>>>>>>> A hook can save recomputation.
>>>>>>
>>>>>>> (computation with original data and reused me)Â (resuse me)
>>>>>>
>>>>>>
>>>>>>> Â Â test=: [: %: ([: -: +/) * [: */ ([: -: +/) - ]
>>>>>>
>>>>>>>   NB. play with the half factor   f=:   4 %~ [: %: [:
>>>>>>> */ (([ , (- +:))~ +/)
>>>>>>
>>>>>>> Â Â NB. shorter
>>>>>>
>>>>>>>   NB.   c o m p u t a t i o n   r e u s e   g=: Â
>>>>>>> Â ([: %: [: */ [ , -)~Â Â Â Â ([: -: +/)
>>>>>>
>>>>>>> Â Â g2=:Â Â ([: %: [: */ [ , -)~ -:@:(+/)
>>>>>>
>>>>>>
>>>>>>> Â Â %/ (g , test) 3?@:$0
>>>>>>> 1
>>>>>>
>>>>>>
>>>>>>> On 09/04/2018 08:00 AM, [email protected] wrote:
>>>>>>>> Date: Tue, 04 Sep 2018 11:50:43 +0000
>>>>>>>> From: Martin Kreuzer<[email protected]>
>>>>>>>> To:[email protected]
>>>>>>>> Subject: [Jprogramming] Tacit form: How to handle intermediate
>>>>>>>> result..?
>>>>>>>> Message-ID:
>>>>>>>> <[email protected]>
>>>>>>>> Content-Type: text/plain; charset="us-ascii"; format=flowed
>>>>>>>>
>>>>>>>> Hi all -
>>>>>>>>
>>>>>>>> To calculate the area of a flat triangle, using Heron's formula,
>>>>>>>> A(a,b,c)= sqrt( s2*(s2-a)*(s2-b)*(s2-c) ) I wrote a simple
>>>>>>>> function doing this:
>>>>>>>>
>>>>>>>> * get the three sides (as list input y)
>>>>>>>> * compute the half perimeter s2
>>>>>>>> * build the differences s2-y
>>>>>>>> * build product
>>>>>>>> * take square root
>>>>>>>>
>>>>>>>> My explicit solution looks like this
>>>>>>>>
>>>>>>>> taher=: 13 : '%: s2 * */ s2-y [ s2=. -: +/ y'
>>>>>>>>
>>>>>>>> and works
>>>>>>>>
>>>>>>>> taher 3 4 5
>>>>>>>> 6
>>>>>>>>
>>>>>>>> Suggested tacit version looks like this (and works too)
>>>>>>>>
>>>>>>>> tahert=: [: %: ([: -: +/) * [: */ ([: -: +/) - ]
>>>>>>>>
>>>>>>>> Q: Is there a way to reference the intermediate result of ([: -:
>>>>>>>> +/) the half perimeter s2 within the tacit expression, as has
>>>>>>>> +been
>>>>>>>> done in the explicit..?
>>>>>>>> [Guess the interpreter takes care of this anyway; my question
>>>>>>>> aims at whether a shorter formulation could be reached.]
>>>>>>>>
>>>>>>>> Thanks
>>>>>>>> -M
>>>>>>> ------------------------------------------------------------------
>>>>>>> --
>>>>>>> --
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>>>>>>> 7f
>>>>>>> 8c08d61445ac18%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C636718
>>>>>>> 68
>>>>>>> 6798916834&sdata=Yuys8QE3yMvBtUraCohR9dRgPugZDeNaNh3BoBCzJjU%3
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>>>>>>> jsoftware.com%2F&data=02%7C01%7C%7Cc059f09bd44446fc424708d6192
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>>>>>>> 363&sdata=7%2BW%2FWnVdGUyO5afICJRXaEqL4lZbDhslLmJ%2BUZmjYbA%3D
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>>>>>>
>>>>>>
>>>>>> ---
>>>>>> This email has been checked for viruses by Avast antivirus software.
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>>>>>> 06
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>>>>>
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>>>>> 17
>>>>> 6871&sdata=0sleKYElksLSP%2BOT8BYYtyzcuL3GTBuL14taSrgJQS8%3D&
>>>>> re
>>>>> served=0
>>>>
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>>>> jsoftware.com%2Fforums.htm&data=02%7C01%7C%7Cfbcf68689bed4e31e281
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>>>> 4176871&sdata=0sleKYElksLSP%2BOT8BYYtyzcuL3GTBuL14taSrgJQS8%3D&am
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>>> For information about J forums see
>>> https://eur01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.j
>>> software.com%2Fforums.htm&data=02%7C01%7C%7Cc059f09bd44446fc424708
>>> d61928c374%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C63672406019944
>>> 7363&sdata=b9I4sMX5jSddFL6qyxLiN3W1DBv2S51N1UjbNoO6zVQ%3D&rese
>>> rved=0
>>> <https://eur01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.
>>> jsoftware.com%2Fforums.htm&data=02%7C01%7C%7Cc059f09bd44446fc42470
>>> 8d61928c374%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C6367240601994
>>> 47363&sdata=b9I4sMX5jSddFL6qyxLiN3W1DBv2S51N1UjbNoO6zVQ%3D&res
>>> erved=0>
>> ----------------------------------------------------------------------
>> For information about J forums see
>> https://eur01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.jsoftware.com%2Fforums.htm&data=02%7C01%7C%7Cc059f09bd44446fc424708d61928c374%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C636724060199447363&sdata=b9I4sMX5jSddFL6qyxLiN3W1DBv2S51N1UjbNoO6zVQ%3D&reserved=0
>> ----------------------------------------------------------------------
>> For information about J forums see http://www.jsoftware.com/forums.htm
>
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
----------------------------------------------------------------------
For information about J forums see http://www.jsoftware.com/forums.htm
