Deconvolution/1D: Difference between revisions
Added Perl example
SqrtNegInf (talk | contribs) (Added Perl example) |
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Therefore, "deconv(a,b)" behaves as expected.
=={{header|Perl}}==
Using <code>rref</code> routine from [[Reduced row echelon form#Perl|Reduced row echelon form]] task.
{{trans|Perl 6}}
<lang perl>use Math::Cartesian::Product;
sub deconvolve {
our @g; local *g = shift;
our @f; local *f = shift;
my(@m,@d);
my $h = 1 + @g - @f;
push @m, [(0) x $h, $g[$_]] for 0..$#g;
for my $j (0..$h-1) {
for my $k (0..$#f) {
$m[$j + $k][$j] = $f[$k]
}
}
rref(\@m);
push @d, @{ $m[$_] }[$h] for 0..$h-1;
@d;
}
sub convolve {
our @f; local *f = shift;
our @h; local *h = shift;
my @i;
for my $x (cartesian {@_} [0..$#f], [0..$#h]) {
push @i, @$x[0]+@$x[1];
}
my $cnt = 0;
my @g = (0) x (@f + @h - 1);
for my $x (cartesian {@_} [@f], [@h]) {
$g[$i[$cnt++]] += @$x[0]*@$x[1];
}
@g;
}
sub rref {
our @m; local *m = shift;
@m or return;
my ($lead, $rows, $cols) = (0, scalar(@m), scalar(@{$m[0]}));
foreach my $r (0 .. $rows - 1) {
$lead < $cols or return;
my $i = $r;
until ($m[$i][$lead])
{++$i == $rows or next;
$i = $r;
++$lead == $cols and return;}
@m[$i, $r] = @m[$r, $i];
my $lv = $m[$r][$lead];
$_ /= $lv foreach @{ $m[$r] };
my @mr = @{ $m[$r] };
foreach my $i (0 .. $rows - 1)
{$i == $r and next;
($lv, my $n) = ($m[$i][$lead], -1);
$_ -= $lv * $mr[++$n] foreach @{ $m[$i] };}
++$lead;}
}
my @h = qw<-8 -9 -3 -1 -6 7>;
my @f = qw<-3 -6 -1 8 -6 3 -1 -9 -9 3 -2 5 2 -2 -7 -1>;
print ' conv(f,h) = g = ' . join(' ', my @g = convolve(\@f, \@h)) . "\n";
print 'deconv(g,f) = h = ' . join(' ', deconvolve(\@g, \@f)) . "\n";
print 'deconv(g,h) = f = ' . join(' ', deconvolve(\@g, \@h)) . "\n";</lang>
{{out}}
<pre> conv(f,h) = g = 24 75 71 -34 3 22 -45 23 245 25 52 25 -67 -96 96 31 55 36 29 -43 -7
deconv(g,f) = h = -8 -9 -3 -1 -6 7
deconv(g,h) = f = -3 -6 -1 8 -6 3 -1 -9 -9 3 -2 5 2 -2 -7 -1</pre>
=={{header|Perl 6}}==
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