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### Re^17: Near-free function currying in Perl

by diotalevi (Canon)
 on Nov 22, 2004 at 16:11 UTC ( #409632=note: print w/replies, xml ) Need Help??

in reply to Re^16: Near-free function currying in Perl
in thread Near-free function currying in Perl

I've hoped you would respond with some examples of how you would use this in your own code. Could you show us examples with and without it? Or at least highlight what would be different?
• Comment on Re^17: Near-free function currying in Perl

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Re^18: Near-free function currying in Perl
by tmoertel (Chaplain) on Nov 23, 2004 at 01:23 UTC
I'll provide some examples, but in order to appreciate them you must understand the library of tiny FP functions that form the core vocabulary of FP programming. I have enclosed a small subset of that vocabulary below, mostly drawn directly from the Haskell Prelude. I have tried to select examples that can be shown using only this subset.

Keep in mind that the following code is probably too small, too simple, and too limited to be useful for drawing general conclusions. The best you can hope for is to get a taste. To draw inferences about the whole cuisine from this tiny sampling would be a mistake.

First some library functions:

Now let us write code using the above vocabulary. First, the preliminaries:

```    use ToolBox;
use Data::Dumper;

# a convenience function for examining our output

sub say(@) {
local \$Data::Dumper::Terse = 1;
local \$Data::Dumper::Indent = 0;
my @d = map Dumper(\$_), @_;
print "@d\$/";
}
Let us start with some simple functions to show the general idea:
```    # some simple binary operators

sub plus  { \$_[0] + \$_[1] }
sub times { \$_[0] * \$_[1] }

# build n-ary operators from them

*sum      = foldl_c( \&plus,  0 );
*product  = foldl_c( \&times, 1 );

# test them out

say sum(1..10);       # 55
say product(1..10);   # 3628800
Now let us build further to create a function to compute vector dot products:
```    *dot_product = compose( \&sum, zip_with_c( \&product ));
say dot_product( [1,1,1], [1,2,3] ); # 6
So far, we have computed only with numbers. Let us now turn to data. One common programming task is to compute the combinations that can be generated by taking one element from a set of sets. (I selected this problem because various implementations can be found on Perl Monks for comparison.) Here's my implementation:
```    *combos = foldr_c( \&outer_prod, [[]] );

sub outer_prod {
my (\$xs, \$ys) = @_;
[ map do { my \$x=\$_; map [\$x, @\$_], @\$ys }, @\$xs ];
}

say combos( ['a','b'], [1,2,3] );
# [['a',1],['a',2],['a',3],['b',1],['b',2],['b',3]]
Building further, let's compute power sets. One common method of computing the power set of a set S is the following:
1. Replace each element e of S with the set {{e},{}}:
[1,2] ==> [ [[1],[]], [[2],[]] ]
2. Compute the combinations that can be formed from the sets:
==> [ [[1],[2]], [[1],[]], [[],[2]], [[],[]]] ]
3. Compute the union of the sets within each combination:
==> [ [1,2], [1], [2], [] ]
This method translates directly into the following code:
```    *powerset = pipeline(
map_c { [ [\$_], [] ] },              # step 1
\&combos,                            # step 2
map_c { map [ map @\$_, @\$_ ], @\$_ }  # step 3
);

say powerset( 1, 2 );
# [1,2] [1] [2] []

say powerset(qw( a b c ));
# ['a','b','c'] ['a','b'] ['a','c'] ['a']
# ['b','c'] ['b'] ['c'] []
Each step in the original method maps directly to a stage in the composition pipeline, the output of each stage becoming the input of the next.

This ends my example.

You are welcome to code your own versions of these functions for comparison. Because these functions are so simple, the comparisons might not yield much insight. A more useful exercise might be for you to write FP and non-FP code to solve more complex problems and then compare the coding experiences instead of the code itself.

Cheers,
Tom

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