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#!/usr/bin/perl -w
use strict;
use Algorithm::Loops qw( MapCarE );
Main( @ARGV );
exit( 0 );
sub Mult {
my( $x, $y )= @_;
my @prod= map {
my $row= $_;
[
map {
my $sum= 0;
$sum += $_ for MapCarE {
pop() * pop()
} $row, $_;
$sum;
} MapCarE {\@_} @$y
]
} @$x;
return \@prod;
}
{
my( %fmt4exp, @exps2fmt, $fullfmt );
BEGIN {
%fmt4exp= (
-100 => '+1.0e-999',
-10 => '+1.00e-99',
-5 => '+1.000e-9',
-1 => '+0.000000',
+3 => ' +0.000',
+5 => ' +0.0',
+7 => ' +0',
+9 => '+1.000e+9',
+99 => '+1.000e99',
+99999 => '+1.00e999',
);
@exps2fmt= sort {$a<=>$b} keys %fmt4exp;
$fullfmt= '%+14.7e'; # %+1.2345678e-99
}
sub Num2Str {
my( $num )= @_;
my $full= sprintf $fullfmt, $num;
my( $sign, $one, $rest, $esign, $eabs )=
$full =~ m<
^\s*
([-+]?)(\d)\.(\d*)
[eE]([-+]?)(\d+)
\s*$
>x;
my $exp= $esign . $eabs;
my $fmt;
for my $exp2fmt ( @exps2fmt ) {
if( $exp <= $exp2fmt ) {
$fmt= $fmt4exp{$exp2fmt};
last;
}
}
my $str= $fmt;
if( $fmt =~ /e/ ) {
$str =~ s/\+/$sign/;
$str =~ s/1/$one/;
$str =~ s{\.(0+)(?=[eE])}{
( sprintf( "%14.".length($1)."e", $num )
=~ /(\.\d+)/
)[0]
}e;
$str =~ s/(9+)/sprintf "%0".length($1)."d", $eabs/e;
} else {
if( $exp < 0 ) {
$str =~ s/\+/$sign/;
$rest= '0'x($eabs-1) . $one . $rest;
} else {
$one= substr( $one . $rest, 0, 1+$exp );
substr( $rest, 0, $exp )= '';
$str =~ s/([\s+0]+)/sprintf "%+".length($1)."s", $sign.$one/e;
}
$str =~ s{\.(0+)}{
( sprintf( "%14.".length($1)."f", $num )
=~ /(\.\d+)$/
)[0]
}e;
$str =~ s{\.(0+)$}{
( sprintf( "%14.".length($1)."f", $num )
=~ /(\.\d+)/
)[0]
}e;
$str =~ s/(\.?0+)$/' ' x length($1)/e
if $fmt =~ /\./;
}
return $str;
}
}
sub Main {
if( ! @_ ) {
open STDIN, "<&DATA"
or die "Can't dup DATA to STDIN: $!\n";
}
my( @lines, $mat, $x, $p );
do {
$_= <>;
$_= '' if ! defined $_ || $_ eq /^__END__\b/;
if( ! /\d/ ) { # Numberless line between matrices:
if( $mat && ! /^And\s*$/ ) {
if( ! $x && $p ) {
print "And\n";
}
print @lines;
if( ! $x ) {
$x= $mat;
print "times\n";
} else {
print "equals\n";
$p= Mult( $x, $mat );
for my $row ( @$p ) {
print join( " ", map Num2Str($_), @$row ), $/;
}
undef $x;
}
}
@lines= ();
undef $mat;
} else {
push @lines, $_;
chomp( $_ );
for my $row ( split '/', $_ ) {
push @$mat, [ $row =~ /([^\s,]+)/g ];
}
}
} while( '' ne $_ );
}
__END__
1, 3
4, -1
-2, 2
times
-6, 2, 5, -3
4, -1, 3, 1
equals
+6 -1 +14 +0
-28 +9 +17 -13
+20 -6 -4 +8
And
1 2 3 4
times
1 / 2 / 3
equals
MapCarE: Arrays with different sizes (4 and 3) at MatrixMult.plx line 93
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