User:Coderjoe/Sandbox2: Difference between revisions
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=={{header|Oz}}== |
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To be executed in the REPL. |
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<lang oz>declare |
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fun {Compose F G} |
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fun {$ X} |
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{F {G X}} |
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end |
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end |
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fun {Cube X} X*X*X end |
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fun {CubeRoot X} {Number.pow X 1.0/3.0} end |
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in |
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for |
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F in [Float.sin Float.cos Cube] |
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I in [Float.asin Float.acos CubeRoot] |
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do |
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{Show {{Compose I F} 0.5}} |
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end |
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</lang> |
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=={{header|PARI/GP}}== |
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{{works with|PARI/GP|2.4.2 and above}} |
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<lang parigp>compose(f,g)={ |
<lang parigp>compose(f,g)={ |
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x -> f(g(x)) |
x -> f(g(x)) |
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<lang parigp> A=[sin, cos, x->x^2]; |
<lang parigp> A=[sin, cos, x->x^2]; |
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B=[asin, acos, x->sqrt(x)];</lang> |
B=[asin, acos, x->sqrt(x)];</lang> |
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=={{header|Perl}}== |
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<lang perl>use Math::Complex ':trig'; |
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sub compose { |
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my ($f, $g) = @_; |
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sub { |
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$f -> ($g -> (@_)); |
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}; |
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} |
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my $cube = sub { $_[0] ** (3) }; |
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my $croot = sub { $_[0] ** (1/3) }; |
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my @flist1 = ( \&Math::Complex::sin, \&Math::Complex::cos, $cube ); |
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my @flist2 = ( \&asin, \&acos, $croot ); |
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print join "\n", map { |
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compose($flist1[$_], $flist2[$_]) -> (0.5) |
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} 0..2;</lang> |
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=={{header|Perl 6}}== |
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{{works with|Rakudo|2011.06}} |
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<lang perl6>sub compose (&g, &f) { return { g f $^x } } |
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my $x = *.sin; |
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my $xi = *.asin; |
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my $y = *.cos; |
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my $yi = *.acos; |
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my $z = * ** 3; |
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my $zi = * ** (1/3); |
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my @functions = $x, $y, $z; |
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my @inverses = $xi, $yi, $zi; |
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for @functions Z @inverses { say compose($^g, $^f)(.5) }</lang> |
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Output: |
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<pre>0.5 |
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0.5 |
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0.5</pre> |
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Latest revision as of 20:38, 16 July 2011
<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>