Here is the number from the web page you included.
NB.0.6180339887 4989484820 4586834365 6381177203 0917980576 2862135448
6227052604 6281890244 9707207204 1893911374
Your function provides a decimal value. The result here is a rational
number:
g=: 13 :'(+%)/\y$1x'
]B=:0{|.g 300
359579325206583560961765665172189099052367214309267232255589801r222232244629
420445529739893461909967206666939096499764990979600
Here are the first 100 digits using this J function:
0j101 ":B
1.61803398874989484820458683436563811772030917980576286213544862270526046281
890244970720720418939113748
Linda
-----Original Message-----
From: programming-boun...@forums.jsoftware.com
[mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Jan-Pieter
Jacobs
Sent: Monday, February 24, 2014 5:32 AM
To: programm...@jsoftware.com
Subject: Re: [Jprogramming] A Tale Without End
It seems they are the same as on this page:
http://home.adelphi.edu/~stemkoski/mathematrix/constant.html
Atleast for the fractional part.
g=: 13 :'(+%)/y$1x' NB. removed the \ making things slower, only returning
the last result
]B=: g 200
digits_g =: 0j50 ": B
NB. first 100 digits from the website, spliced for wrapping issues
dw=:'0.6180339887 4989484820 4586834365 6381177203 0917980576'
dw=: dw , '2862135448 6227052604 6281890244 9707207204 1893911374'
NB. check whether first 52 characters match (52 due to '0.'), excluding
spaces:
dg -: 52{.(#~ ' '~:])dw
1
Jan-Pieter
2014-02-24 11:10 GMT+01:00 Linda Alvord <lindaalv...@verizon.net>:
> Ric, are these 50 digits correct. Is it doing the "long division" to get
> the answer?
>
> Linda
>
> -----Original Message-----
> From: programming-boun...@forums.jsoftware.com
> [mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Linda
> Alvord
> Sent: Monday, February 24, 2014 5:01 AM
> To: programm...@jsoftware.com
> Subject: Re: [Jprogramming] A Tale Without End
>
> Nice. This is all it takes in a fresh start in J:
>
> g=: 13 :'(+%)/\y$1x'
>
> ]B=:0{|.g 200
>
>
453973694165307953197296969697410619233826r280571172992510140037611932413038
> 677189525
>
> 0j50 ": B
> 1.61803398874989484820458683436563811772030917980576
>
> Is this the same j of complex numbers or is it the fact that 0j50 x: is
> special code?
>
> Linda
>
>
> -----Original Message-----
> From: programming-boun...@forums.jsoftware.com
> [mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Don Guinn
> Sent: Monday, February 24, 2014 12:59 AM
> To: Programming forum
> Subject: Re: [Jprogramming] A Tale Without End
>
> Use the inverse of x: to convert rational to real (floating point):
>
> [r=:x:^:_1 B
>
> 1.61803
>
> 3!:0 r
>
> 8
>
>
> To display the value more accurately use format (":):
>
> 0j42":B
>
> 1.618033988749894848204586834365638117720309
>
>
> On Sun, Feb 23, 2014 at 6:41 PM, Linda Alvord
> <lindaalv...@verizon.net>wrote:
>
> > I just saw that there are several other ways to get the golden ration.
> > Before I look at them I don't know how to change the rational numbers A
> > and B to decimals with many digits.
> >
> > g=: 13 :'(+%)/\y$1x'
> > g
> > [: (+ %)/\ 1x $~ ]
> >
> >
> > A=:0{|. g 100
> >
> > A
> > 573147844013817084101r354224848179261915075
> >
> >
> > B=:0{|. g 200
> > B
> >
> >
>
>
453973694165307953197296969697410619233826r280571172992510140037611932413038
> > 677189525
> >
> > Linda
> >
> > -----Original Message-----
> > From: programming-boun...@forums.jsoftware.com
> > [mailto:programming-boun...@forums.jsoftware.com] On Behalf Of PMA
> > Sent: Sunday, February 23, 2014 3:48 PM
> > To: programm...@jsoftware.com
> > Subject: Re: [Jprogramming] A Tale Without End
> >
> > My favorite..
> >
> > -:>:%:5
> > 1.61803
> >
> >
> > Nimp O wrote:
> > > And also..
> > >
> > > (+ %:)/ 0,20$1
> > > 1.61803
> > >
> > >> Date: Sun, 23 Feb 2014 20:11:11 +0000
> > >> From: bojac...@yahoo.dk
> > >> To: programm...@jsoftware.com
> > >> Subject: Re: [Jprogramming] A Tale Without End
> > >>
> > >> {.>{:p. 1 1 _1
> > >> 1.61803
> > > s.htm
> > >
> > > ----------------------------------------------------------------------
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