From: Jeong Dal <haksan@me.com>
To: "list ntg-context@ntg.nl ntg-context@ntg.nl ntg-context@ntg.nl
ntg-context@ntg.nl" <ntg-context@ntg.nl>
Subject: Re: Code lua in a table
Date: Mon, 20 Jul 2020 14:56:58 +0900 [thread overview]
Message-ID: <D512FBE4-D72C-4DE6-BE4E-19D2E8266604@me.com> (raw)
In-Reply-To: <mailman.1.1595152801.23549.ntg-context@ntg.nl>
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Dear Fabrice,
You may split Binom(n,k) function into two functions as following:
*****
\startluacode
P={}
combi = P
function P.fact (n)
if n <= 0 then
return 1
else
return n * P.fact(n-1)
end
end
function P.ncr(n,r)
return P.fact(n)/(P.fact(r)*P.fact(n-r))
end
combi = {
fact = fact,
ncr = ncr,
}
\stopluacode
******
Your table is actually Pascal’d triangle.
Using the above function, I was able to draw Pascal’s triangles.
Hans helped me to complete it.
I couldn’t wikify it at that time because I don’t know how to. I’ll do it soon.
Here is the whole code for Pascal’s triangle in two different ways using Lua, Metafun and ConTeXt.
You may enhance the code.
\startbuffer[pt1]
numeric n,r,s,u,dx,dy,tt; u := 1.8cm;
path p, q;
pair A,B,start,now;
A := dir(210)*u;
B := dir(-30)*u;
dy := sind(30)*u;
dx := 2*cosd(30)*u;
for n=0 upto 4:
start := n*dir(210)*u;
for r=0 upto n:
s := n-r;
tt := lua("mp.print(P.ncr(" & decimal n & "," & decimal r & " ))");
now := start+r*right*dx;
dotlabel.top(textext("$\displaystyle {" & decimal n & "\choose" & decimal r & "} = "& decimal tt & "$"),now);
draw (now+A) -- now -- (now+B);
endfor;
endfor;
\stopbuffer
\startbuffer[pt2]
numeric n,r,s,u,dx,dy,tt; u := 1cm;
path p, q;
pair A,B,start,now;
A := dir(210)*u;
B := dir(-30)*u;
dy := sind(30)*u;
dx := 2*cosd(30)*u;
for n=0 upto 8:
start := n*dir(210)*u;
for r=0 upto n:
s := n-r;
tt := lua("mp.print(P.ncr(" & decimal n & "," & decimal r & " ))");
now := start+r*right*dx;
label(textext("$" & decimal tt & "$"),now);
endfor;
endfor;
\stopbuffer
\startluacode
P={}
combi = P
function P.fact (n)
if n <= 0 then
return 1
else
return n * P.fact(n-1)
end
end
function P.ncr(n,r)
return P.fact(n)/(P.fact(r)*P.fact(n-r))
end
combi = {
fact = fact,
ncr = ncr,
}
\stopluacode
\starttext
\processMPbuffer[pt1]
\blank[big]
\processMPbuffer[pt2]
\stoptext
I hope that it helps.
Best regards,
Dalyoung
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next parent reply other threads:[~2020-07-20 5:56 UTC|newest]
Thread overview: 15+ messages / expand[flat|nested] mbox.gz Atom feed top
[not found] <mailman.1.1595152801.23549.ntg-context@ntg.nl>
2020-07-20 5:56 ` Jeong Dal [this message]
2020-07-20 8:36 ` Hans Hagen
2020-07-20 10:13 ` Fabrice Couvreur
2020-07-20 12:40 ` Jeong Dal
2020-07-20 12:54 ` Hans Hagen
2020-07-21 13:08 ` Fabrice Couvreur
2020-07-18 18:05 Fabrice Couvreur
2020-07-18 18:32 ` Wolfgang Schuster
2020-07-18 20:09 ` Fabrice Couvreur
2020-07-18 20:22 ` Wolfgang Schuster
2020-07-18 20:25 ` Fabrice Couvreur
2020-07-18 20:34 ` Fabrice Couvreur
2020-07-18 20:36 ` Wolfgang Schuster
2020-07-18 21:35 ` Otared Kavian
2020-07-18 22:05 ` Otared Kavian
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