Here are two tacit verb for pmt from Raul,
pmt1200=:(%<:)@D * 1 0 1 */ .# ] pmt=: pmt1200@(%&1200 1 1) pmt 5.75 240 12500 87.7604 D [: (^~ >:)/ (2 3$0 1 0 1 0 0) +/ .* ] pmt1200 (% <:)@D * 1 0 1 */ .# ] Can anyone other than Raul or Rob) writ an explicit OR tacit single sentence definition for: PMREX=: PMTTA=: Cheers, Linda (Raul and Bob can coach tacits and I'll respond to explicits) Try 5.75 240 12500 -----Original Message----- From: Programming <programming-boun...@forums.jsoftware.com> On Behalf Of 'Rob Hodgkinson' via Programming Sent: Thursday, September 13, 2018 2:23 AM To: programm...@jsoftware.com Subject: Re: [Jprogramming] Tacit form: How to handle intermediate 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 <lindaalvor...@outlook.com> 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 <programming-boun...@forums.jsoftware.com> On Behalf > Of 'Rob Hodgkinson' via Programming > Sent: Wednesday, September 12, 2018 11:26 PM > To: programm...@jsoftware.com > 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%7C > c059f09bd44446fc424708d61928c374%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C > 1%7C0%7C636724060199447363&sdata=OrnLHRv1N%2Fe5lnADLmIGobGEQkw5kxY > mbnHMVx84AIs%3D&reserved=0 > <https://eur01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fcod > e.jsoftware.com%2Fwiki%2FVocabulary%2Fsquarelfco&data=02%7C01%7C%7 > Cc059f09bd44446fc424708d61928c374%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7 > C1%7C0%7C636724060199447363&sdata=OrnLHRv1N%2Fe5lnADLmIGobGEQkw5kx > YmbnHMVx84AIs%3D&reserved=0> > > Thanks, Rob > > >> On 13 Sep 2018, at 1:05 am, Linda Alvord <lindaalvor...@outlook.com> 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 <rauldmil...@gmail.com >> <mailto:rauldmil...@gmail.com>> >> Date: 9/10/18 12:55 AM (GMT-05:00) >> To: Programming forum <programm...@jsoftware.com >> <mailto:programm...@jsoftware.com>> >> 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 <lindaalvor...@outlook.com >> <mailto:lindaalvor...@outlook.com>> 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 <programming-boun...@forums.jsoftware.com >>> <mailto:programming-boun...@forums.jsoftware.com>> On Behalf Of >>> 'Mike Day' via Programming >>> Sent: Saturday, September 8, 2018 1:45 PM >>> To: programm...@jsoftware.com <mailto:programm...@jsoftware.com> >>> 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: >>>>> >>>>>    herona=: 13 :'%:*/sy,(sy=.s y)-y' >>>>> >>>>>    herona 3 4 5 >>>>> >>>>> >>>>> >>>>>    herona 5 12 13 >>>>> >>>>> 30 >>>>> >>>>>    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 <programming-boun...@forums.jsoftware.com> On >>>>>> Behalf Of David Lambert >>>>>> Sent: Thursday, September 6, 2018 6:11 PM >>>>>> To: programming <programm...@jsoftware.com> >>>>>> Subject: Re: [Jprogramming] Tacit form: How to handle >>>>>> intermediate >>>>> >>>>>> A hook can save recomputation. >>>>> >>>>>> (computation with original data and reused me) (resuse me) >>>>> >>>>> >>>>>>   test=: [: %: ([: -: +/) * [: */ ([: -: +/) - ] >>>>> >>>>>>   NB. play with the half factor   f=:   4 %~ [: %: [: >>>>>> */ (([ , (- +:))~ +/) >>>>> >>>>>>   NB. shorter >>>>> >>>>>>   NB.   c o m p u t a t i o n   r e u s e   g=:  >>>>>>  ([: %: [: */ [ , -)~    ([: -: +/) >>>>> >>>>>>   g2=:  ([: %: [: */ [ , -)~ -:@:(+/) >>>>> >>>>> >>>>>>   %/ (g , test) 3?@:$0 >>>>>> 1 >>>>> >>>>> >>>>>> On 09/04/2018 08:00 AM, programming-requ...@forums.jsoftware.com wrote: >>>>>>> Date: Tue, 04 Sep 2018 11:50:43 +0000 >>>>>>> From: Martin Kreuzer<i...@airkreuzer.com> >>>>>>> To:programm...@jsoftware.com >>>>>>> Subject: [Jprogramming] Tacit form: How to handle intermediate >>>>>>> result..? >>>>>>> Message-ID: >>>>>>> <5b8e71a5.1c69fb81.65e5c.4a9esmtpin_added_miss...@mx.google.com> >>>>>>> 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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