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|
#!perl
BEGIN {
unless ($ENV{AUTHOR_TESTING}) {
print "1..0 # SKIP these tests are for testing by the author";
exit;
}
}
use strict;
use warnings;
use Test::More tests => 3528;
use Math::Complex ();
use Math::BigFloat;
my $inf = Math::Complex::Inf();
my $nan = $inf - $inf;
my $class = 'Math::BigFloat';
# isnan X
#sub isnan { !($_[0] <= 0 || $_[0] > 0) }
sub isnan { !defined($_[0] <=> 0) }
# linspace MIN, MAX, N
#
# Returns N linearly spaced elements from MIN to MAX.
sub linspace {
my ($xmin, $xmax, $n) = @_;
if ($n == 0) {
return ();
} elsif ($n == 1) {
return ($xmin);
} else {
my $c = ($xmax - $xmin) / ($n - 1);
return map { $xmin + $c * $_ } 0 .. ($n - 1);
}
}
# logspace MIN, MAX, N
#
# Returns N logarithmically spaced elements from MIN to MAX.
sub logspace {
my ($xmin, $xmax, $n) = @_;
if ($n == 0) {
return ();
} elsif ($n == 1) {
return ($xmin);
} else {
my @lin = linspace(log($xmin), log($xmax), $n);
my @log = map { exp } @lin;
$log[ 0 ] = $xmin;
$log[ $#log ] = $xmax;
return @log;
}
}
my @x;
@x = logspace(0.01, 12, 20);
@x = map { sprintf "%.3g", $_ } @x;
@x = (reverse(map( { -$_ } @x)), 0, @x, $nan);
my $accu = 16;
my $tol = 1e-14;
my $max_relerr = 0;
for my $ply (@x) {
for my $plx (@x) {
my $plz = CORE::atan2($ply, $plx);
# $y -> batan2($x) where $x is a scalar
{
my $y = $class -> new($ply);
$y -> batan2($plx, $accu);
my $desc = qq|\$y = $class->new("$ply");|
. qq| \$y->batan2("$plx", $accu)|
. qq| vs. CORE::atan2($ply, $plx)|;
if (isnan($plz)) {
is($y, "NaN", $desc);
} elsif ($plz == 0) {
cmp_ok($y, '==', $plz, $desc);
} else {
my $relerr = abs(($y - $plz) / $plz);
if (!cmp_ok($relerr, '<', $tol, "relative error of $desc")) {
diag(sprintf(" CORE::atan2(...): %.15g\n" .
" Math::BigFloat->batan2(...): %.15g\n",
$plz, $y));
}
$max_relerr = $relerr if $relerr > $max_relerr;
}
}
# $y -> batan2($x) where $x is an object
{
my $x = $class -> new($plx);
my $y = $class -> new($ply);
$y -> batan2($plx, $accu);
my $desc = qq|\$y = $class->new("$ply");|
. qq| \$x = $class->new("$plx");|
. qq| \$y->batan2(\$x, $accu)|
. qq| vs. CORE::atan2($ply, $plx)|;
if (isnan($plz)) {
is($y, "NaN", $desc);
} elsif ($plz == 0) {
cmp_ok($y, '==', $plz, $desc);
} else {
my $relerr = abs(($y - $plz) / $plz);
if (!cmp_ok($relerr, '<', $tol, "relative error of $desc")) {
diag(sprintf(" CORE::atan2(...): %.15g\n" .
" Math::BigFloat->batan2(...): %.15g\n",
$plz, $y));
}
$max_relerr = $relerr if $relerr > $max_relerr;
}
}
}
}
diag("Maximum relative error = ", $max_relerr -> numify(), "\n");
|
