Dot product
You are encouraged to solve this task according to the task description, using any language you may know.
Create a function/use an in-built function, to compute the dot product, also known as the scalar product of two vectors. If possible, make the vectors of arbitrary length.
As an example, compute the dot product of the vectors [1, 3, -5] and [4, -2, -1].
If implementing the dot product of two vectors directly, each vector must be the same length; multiply corresponding terms from each vector then sum the results to produce the answer.
Factor
The built-in word v. is used to compute the dot product. It doesn't enforce that the vectors are of the same length, so here's a wrapper.
<lang factor>USING: kernel math.vectors sequences ;
- dot-product ( u v -- w )
2dup [ length ] bi@ = [ v. ] [ "Vector lengths must be equal" throw ] if ;</lang>
( scratchpad ) { 1 3 -5 } { 4 -2 -1 } dot-product .
3
Haskell
<lang haskell>dotp a b | length a == length b = sum (zipWith (*) a b)
| otherwise = error "Vector sizes must match"
main = print $ dotp [1, 3, -5] [4, -2, -1] -- prints 3</lang>
J
<lang j> 1 3 _5 +/ . * 4 _2 _1 3
dotp=: +/ . * NB. define as a function 1 3 _5 dotp 4 _2 _1
3</lang> Applies generally to matricies and arrays of higher dimensions and can be used with verbs/functions other than product and sum.
Logo
<lang logo>to dotprod :a :b
output apply "sum (map "product :a :b)
end
show dotprod [1 3 -5] [4 -2 -1] ; 3</lang>
Perl
<lang perl>sub dotprod (\@\@) {
my($vec_a, $vec_b) = @_;
die "they must have the same size\n" unless @$vec_a == @$vec_b;
my $sum = 0;
$sum += $$vec_a[$_]*$$vec_b[$_] for(0..$#$vec_a);
return $sum;
}
my @vec_a = (1,3,-5); my @vec_b = (4,-2,-1);
print dotprod(@vec_a,@vec_b); # 3</lang>
Python
<lang python>def dotp(a,b):
assert len(a) == len(b), 'Vector sizes must match' return sum(aterm * bterm for aterm,bterm in zip(a, b))
if __name__ == '__main__':
a, b = [1, 3, -5], [4, -2, -1] assert dotp(a,b) == 3</lang>
Tcl
<lang tcl>package require math::linearalgebra
set a {1 3 -5} set b {4 -2 -1} set dotp [::math::linearalgebra::dotproduct $a $b] proc pp vec {return \[[join $vec ,]\]} puts "[pp $a] \u2219 [pp $b] = $dotp"</lang> Output:
[1,3,-5] ∙ [4,-2,-1] = 3.0
TI-89 BASIC
dotP([1, 3, –5], [4, –2, –1])
3