#! perl -slw
use strict;
our $N //= 32;
sub myExp2 {
my $x = shift;
my( $r, $top, $bot ) = ( 1, $x, 1 );
$r += $top / $bot, $top *= $x, $bot *= $_ for 2 .. $N;
$r;
}
printf "%30.20g : %30.20g \n", exp( $_ ), myExp2( $_ ) #, myExp2( $_ )
+ - exp( $_ )
for map log( 10**$_ ), -10 .. 10;
__END__
C:\test>exp -N=227
9.9999999999999965e-011 : -9.2662709999185665e-008
1.0000000000000007e-009 : -8.6393006494132869e-009
9.999999999999982e-009 : 1.1100933780704416e-008
9.9999999999999943e-008 : 9.9888569074918635e-008
1.0000000000000004e-006 : 1.0000228347576172e-006
9.9999999999999974e-006 : 1.0000001331927489e-005
0.00010000000000000009 : 0.00010000000018884082
0.0010000000000000002 : 0.0010000000000062366
0.010000000000000005 : 0.0099999999999984095
0.10000000000000002 : 0.099999999999999867
1 : 1
10.000000000000002 : 10.000000000000004
100.00000000000004 : 100
999.99999999999977 : 999.99999999999955
10000.000000000009 : 10000.000000000007
100000.00000000001 : 100000.00000000004
999999.99999999953 : 999999.99999999977
10000000.000000006 : 10000000.000000009
100000000.00000018 : 100000000.00000022
999999999.99999928 : 999999999.99999964
10000000000.000004 : 10000000000.000002
Try going higher with the iterations and things turn to #inf.
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Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
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In the absence of evidence, opinion is indistinguishable from prejudice.
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