I second hollis suggestion, but here's a regex that does this anyway:
while($formel=<DATA>) {
my ($vorzeichen_a_form,
$a_form,
$vorzeichen_b_seit,
$b_seit,
$vorzeichen_c_yab,
$c_yab) = $formel
=~ m/y\s*=\s*
([-+])? #$vorzeichen_a_form
(\d+)? #$a_form
x\^2\s*
(?: # non-capturing parentheses
([-+])? #$vorzeichen_b_seit
(\d+)? #$b_seit
x\s*
)? # make this part optional
(?:
([-+])? #$vorzeichen_c_yab
(\d+)? #$c_yab
)?
/x;
print join(":",($vorzeichen_a_form,
$a_form,
$vorzeichen_b_seit,
$b_seit,
$vorzeichen_c_yab,
$c_yab))."\n";
}
__DATA__
y=x^2 #no a, b,c
y=-x^2
y=1x^2 #no b,c
y=-1x^2
y=x^2-2 #no b
y=-1x^2-2
y=1x^2-2
y=x^2-2x #no c
y=-1x^2-2x
y=1x^2-2x
y=x^2-2x-2 #a,b, and c are present
y=-1x^2-2x-2
y=1x^2-2x-2
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