User:Coderjoe/Sandbox2

Oz

To be executed in the REPL.

<lang oz>declare

 fun {Compose F G}
    fun {$ X}
       {F {G X}}
    end
 end

 fun {Cube X} X*X*X end

 fun {CubeRoot X} {Number.pow X 1.0/3.0} end

in

 for
    F in [Float.sin  Float.cos  Cube]
    I in [Float.asin Float.acos CubeRoot]
 do
    {Show {{Compose I F} 0.5}}
 end

</lang>

Works with: PARI/GP version 2.4.2 and above

<lang parigp>compose(f,g)={

 x -> f(g(x))

};

fcf()={

 my(A,B);
 A=[x->sin(x), x->cos(x), x->x^2];
 B=[x->asin(x), x->acos(x), x->sqrt(x)];
 for(i=1,#A,
   print(compose(A[i],B[i])(.5))
 )

};</lang> Usage note: In Pari/GP 2.4.3 the vectors can be written as <lang parigp> A=[sin, cos, x->x^2];

 B=[asin, acos, x->sqrt(x)];</lang>

<lang perl>use Math::Complex ':trig';

sub compose {

   my ($f, $g) = @_;
   
   sub {
       $f -> ($g -> (@_));
   };

}

my $cube = sub { $_[0] ** (3) }; my $croot = sub { $_[0] ** (1/3) };

my @flist1 = ( \&Math::Complex::sin, \&Math::Complex::cos, $cube ); my @flist2 = ( \&asin, \&acos, $croot );

print join "\n", map {

   compose($flist1[$_], $flist2[$_]) -> (0.5)

} 0..2;</lang>

Works with: Rakudo version 2011.06

<lang perl6>sub compose (&g, &f) { return { g f $^x } }

my $x = *.sin; my $xi = *.asin; my $y = *.cos; my $yi = *.acos; my $z = * ** 3; my $zi = * ** (1/3);

my @functions = $x, $y, $z; my @inverses = $xi, $yi, $zi;

for @functions Z @inverses { say compose($^g, $^f)(.5) }</lang> Output:

0.5
0.5
0.5