The Grand Trek: move the *.t files from t/ to lib/ and ext/.

No doubt I made some mistakes like missed some files or
misnamed some files.  The naming rules were more or less:
(1) if the module is from CPAN, follows its ways, be it
    t/*.t or test.pl.
(2) otherwise if there are multiple tests for a module
    put them in a t/
(3) otherwise if there's only one test put it in Module.t
(4) helper files go to module/ (locale, strict, warnings)
(5) use longer filenames now that we can (but e.g. the
    compat-0.6.t and the Text::Balanced test files still
    were renamed to be more civil against the 8.3 people)
installperl was updated appropriately not to install the
*.t files or the help files from under lib.

TODO: some helper files still remain under t/ that could
follow their 'masters'.  UPDATE: On second thoughts, why
should they.  They can continue to live under t/lib, and
in fact the locale/strict/warnings helpers that were moved
could be moved back.  This way the amount of non-installable
stuff under lib/ stays smaller.

p4raw-id: //depot/perl@10676

1 files changed, 979 insertions, 0 deletions

diff --git a/lib/Math/Complex.t b/lib/Math/Complex.t
new file mode 100755
index 0000000000..334374d519
--- /dev/null
+++ b/lib/Math/Complex.t
@@ -0,0 +1,979 @@
+#!./perl
+
+# $RCSfile: complex.t,v $
+#
+# Regression tests for the Math::Complex pacakge
+# -- Raphael Manfredi	since Sep 1996
+# -- Jarkko Hietaniemi	since Mar 1997
+# -- Daniel S. Lewart	since Sep 1997
+
+BEGIN {
+    chdir 't' if -d 't';
+    @INC = '../lib';
+}
+
+use Math::Complex;
+
+use vars qw($VERSION);
+
+$VERSION = 1.91;
+
+my ($args, $op, $target, $test, $test_set, $try, $val, $zvalue, @set, @val);
+
+$test = 0;
+$| = 1;
+my @script = (
+    'my ($res, $s0,$s1,$s2,$s3,$s4,$s5,$s6,$s7,$s8,$s9,$s10, $z0,$z1,$z2);' .
+	"\n\n"
+);
+my $eps = 1e-13;
+
+if ($^O eq 'unicos') { 	# For some reason root() produces very inaccurate
+    $eps = 1e-10;	# results in Cray UNICOS, and occasionally also
+}			# cos(), sin(), cosh(), sinh().  The division
+			# of doubles is the current suspect.
+
+while (<DATA>) {
+	s/^\s+//;
+	next if $_ eq '' || /^\#/;
+	chomp;
+	$test_set = 0;		# Assume not a test over a set of values
+	if (/^&(.+)/) {
+		$op = $1;
+		next;
+	}
+	elsif (/^\{(.+)\}/) {
+		set($1, \@set, \@val);
+		next;
+	}
+	elsif (s/^\|//) {
+		$test_set = 1;	# Requests we loop over the set...
+	}
+	my @args = split(/:/);
+	if ($test_set == 1) {
+		my $i;
+		for ($i = 0; $i < @set; $i++) {
+			# complex number
+			$target = $set[$i];
+			# textual value as found in set definition
+			$zvalue = $val[$i];
+			test($zvalue, $target, @args);
+		}
+	} else {
+		test($op, undef, @args);
+	}
+}
+
+#
+
+sub test_mutators {
+    my $op;
+
+    $test++;
+push(@script, <<'EOT');
+{
+    my $z = cplx(  1,  1);
+    $z->Re(2);
+    $z->Im(3);
+    print "# $test Re(z) = ",$z->Re(), " Im(z) = ", $z->Im(), " z = $z\n";
+    print 'not ' unless Re($z) == 2 and Im($z) == 3;
+EOT
+    push(@script, qq(print "ok $test\\n"}\n));
+
+    $test++;
+push(@script, <<'EOT');
+{
+    my $z = cplx(  1,  1);
+    $z->abs(3 * sqrt(2));
+    print "# $test Re(z) = ",$z->Re(), " Im(z) = ", $z->Im(), " z = $z\n";
+    print 'not ' unless (abs($z) - 3 * sqrt(2)) < $eps and
+                        (arg($z) - pi / 4     ) < $eps and
+                        (Re($z) - 3           ) < $eps and
+                        (Im($z) - 3           ) < $eps;
+EOT
+    push(@script, qq(print "ok $test\\n"}\n));
+
+    $test++;
+push(@script, <<'EOT');
+{
+    my $z = cplx(  1,  1);
+    $z->arg(-3 / 4 * pi);
+    print "# $test Re(z) = ",$z->Re(), " Im(z) = ", $z->Im(), " z = $z\n";
+    print 'not ' unless (arg($z) + 3 / 4 * pi) < $eps and
+                        (abs($z) - sqrt(2)   ) < $eps and
+                        (Re($z) + 1          ) < $eps and
+                        (Im($z) + 1          ) < $eps;
+EOT
+    push(@script, qq(print "ok $test\\n"}\n));
+}
+
+test_mutators();
+
+my $constants = '
+my $i    = cplx(0,  1);
+my $pi   = cplx(pi, 0);
+my $pii  = cplx(0, pi);
+my $pip2 = cplx(pi/2, 0);
+my $zero = cplx(0, 0);
+';
+
+push(@script, $constants);
+
+
+# test the divbyzeros
+
+sub test_dbz {
+    for my $op (@_) {
+	$test++;
+	push(@script, <<EOT);
+	eval '$op';
+	(\$bad) = (\$@ =~ /(.+)/);
+	print "# $test op = $op divbyzero? \$bad...\n";
+	print 'not ' unless (\$@ =~ /Division by zero/);
+EOT
+        push(@script, qq(print "ok $test\\n";\n));
+    }
+}
+
+# test the logofzeros
+
+sub test_loz {
+    for my $op (@_) {
+	$test++;
+	push(@script, <<EOT);
+	eval '$op';
+	(\$bad) = (\$@ =~ /(.+)/);
+	print "# $test op = $op logofzero? \$bad...\n";
+	print 'not ' unless (\$@ =~ /Logarithm of zero/);
+EOT
+        push(@script, qq(print "ok $test\\n";\n));
+    }
+}
+
+test_dbz(
+	 'i/0',
+	 'acot(0)',
+	 'acot(+$i)',
+#	 'acoth(-1)',	# Log of zero.
+	 'acoth(0)',
+	 'acoth(+1)',
+	 'acsc(0)',
+	 'acsch(0)',
+	 'asec(0)',
+	 'asech(0)',
+	 'atan($i)',
+#	 'atanh(-1)',	# Log of zero.
+	 'atanh(+1)',
+	 'cot(0)',
+	 'coth(0)',
+	 'csc(0)',
+	 'csch(0)',
+	);
+
+test_loz(
+	 'log($zero)',
+	 'atan(-$i)',
+	 'acot(-$i)',
+	 'atanh(-1)',
+	 'acoth(-1)',
+	);
+
+# test the bad roots
+
+sub test_broot {
+    for my $op (@_) {
+	$test++;
+	push(@script, <<EOT);
+	eval 'root(2, $op)';
+	(\$bad) = (\$@ =~ /(.+)/);
+	print "# $test op = $op badroot? \$bad...\n";
+	print 'not ' unless (\$@ =~ /root rank must be/);
+EOT
+        push(@script, qq(print "ok $test\\n";\n));
+    }
+}
+
+test_broot(qw(-3 -2.1 0 0.99));
+
+sub test_display_format {
+    $test++;
+    push @script, <<EOS;
+    print "# package display_format cartesian?\n";
+    print "not " unless Math::Complex->display_format eq 'cartesian';
+    print "ok $test\n";
+EOS
+
+    push @script, <<EOS;
+    my \$j = (root(1,3))[1];
+
+    \$j->display_format('polar');
+EOS
+
+    $test++;
+    push @script, <<EOS;
+    print "# j display_format polar?\n";
+    print "not " unless \$j->display_format eq 'polar';
+    print "ok $test\n";
+EOS
+
+    $test++;
+    push @script, <<EOS;
+    print "# j = \$j\n";
+    print "not " unless "\$j" eq "[1,2pi/3]";
+    print "ok $test\n";
+
+    my %display_format;
+
+    %display_format = \$j->display_format;
+EOS
+
+    $test++;
+    push @script, <<EOS;
+    print "# display_format{style} polar?\n";
+    print "not " unless \$display_format{style} eq 'polar';
+    print "ok $test\n";
+EOS
+
+    $test++;
+    push @script, <<EOS;
+    print "# keys %display_format == 2?\n";
+    print "not " unless keys %display_format == 2;
+    print "ok $test\n";
+
+    \$j->display_format('style' => 'cartesian', 'format' => '%.5f');
+EOS
+
+    $test++;
+    push @script, <<EOS;
+    print "# j = \$j\n";
+    print "not " unless "\$j" eq "-0.50000+0.86603i";
+    print "ok $test\n";
+
+    %display_format = \$j->display_format;
+EOS
+
+    $test++;
+    push @script, <<EOS;
+    print "# display_format{format} %.5f?\n";
+    print "not " unless \$display_format{format} eq '%.5f';
+    print "ok $test\n";
+EOS
+
+    $test++;
+    push @script, <<EOS;
+    print "# keys %display_format == 3?\n";
+    print "not " unless keys %display_format == 3;
+    print "ok $test\n";
+
+    \$j->display_format('format' => undef);
+EOS
+
+    $test++;
+    push @script, <<EOS;
+    print "# j = \$j\n";
+    print "not " unless "\$j" =~ /^-0(?:\\.5(?:0000\\d+)?|\\.49999\\d+)\\+0.86602540\\d+i\$/;
+    print "ok $test\n";
+
+    \$j->display_format('style' => 'polar', 'polar_pretty_print' => 0);
+EOS
+
+    $test++;
+    push @script, <<EOS;
+    print "# j = \$j\n";
+    print "not " unless "\$j" =~ /^\\[1,2\\.09439510\\d+\\]\$/;
+    print "ok $test\n";
+
+    \$j->display_format('style' => 'cartesian', 'format' => '(%.5g)');
+EOS
+
+    $test++;
+    push @script, <<EOS;
+    print "# j = \$j\n";
+    print "not " unless "\$j" eq "(-0.5)+(0.86603)i";
+    print "ok $test\n";
+EOS
+
+    $test++;
+    push @script, <<EOS;
+    print "# j display_format cartesian?\n";
+    print "not " unless \$j->display_format eq 'cartesian';
+    print "ok $test\n";
+EOS
+}
+
+test_display_format();
+
+print "1..$test\n";
+eval join '', @script;
+die $@ if $@;
+
+sub abop {
+	my ($op) = @_;
+
+	push(@script, qq(print "# $op=\n";));
+}
+
+sub test {
+	my ($op, $z, @args) = @_;
+	my ($baop) = 0;
+	$test++;
+	my $i;
+	$baop = 1 if ($op =~ s/;=$//);
+	for ($i = 0; $i < @args; $i++) {
+		$val = value($args[$i]);
+		push @script, "\$z$i = $val;\n";
+	}
+	if (defined $z) {
+		$args = "'$op'";		# Really the value
+		$try = "abs(\$z0 - \$z1) <= $eps ? \$z1 : \$z0";
+		push @script, "\$res = $try; ";
+		push @script, "check($test, $args[0], \$res, \$z$#args, $args);\n";
+	} else {
+		my ($try, $args);
+		if (@args == 2) {
+			$try = "$op \$z0";
+			$args = "'$args[0]'";
+		} else {
+			$try = ($op =~ /^\w/) ? "$op(\$z0, \$z1)" : "\$z0 $op \$z1";
+			$args = "'$args[0]', '$args[1]'";
+		}
+		push @script, "\$res = $try; ";
+		push @script, "check($test, '$try', \$res, \$z$#args, $args);\n";
+		if (@args > 2 and $baop) { # binary assignment ops
+			$test++;
+			# check the op= works
+			push @script, <<EOB;
+{
+	my \$za = cplx(ref \$z0 ? \@{\$z0->cartesian} : (\$z0, 0));
+
+	my (\$z1r, \$z1i) = ref \$z1 ? \@{\$z1->cartesian} : (\$z1, 0);
+
+	my \$zb = cplx(\$z1r, \$z1i);
+
+	\$za $op= \$zb;
+	my (\$zbr, \$zbi) = \@{\$zb->cartesian};
+
+	check($test, '\$z0 $op= \$z1', \$za, \$z$#args, $args);
+EOB
+			$test++;
+			# check that the rhs has not changed
+			push @script, qq(print "not " unless (\$zbr == \$z1r and \$zbi == \$z1i););
+			push @script, qq(print "ok $test\\n";\n);
+			push @script, "}\n";
+		}
+	}
+}
+
+sub set {
+	my ($set, $setref, $valref) = @_;
+	@{$setref} = ();
+	@{$valref} = ();
+	my @set = split(/;\s*/, $set);
+	my @res;
+	my $i;
+	for ($i = 0; $i < @set; $i++) {
+		push(@{$valref}, $set[$i]);
+		my $val = value($set[$i]);
+		push @script, "\$s$i = $val;\n";
+		push @{$setref}, "\$s$i";
+	}
+}
+
+sub value {
+	local ($_) = @_;
+	if (/^\s*\((.*),(.*)\)/) {
+		return "cplx($1,$2)";
+	}
+	elsif (/^\s*([\-\+]?(?:\d+(\.\d+)?|\.\d+)(?:[e[\-\+]\d+])?)/) {
+		return "cplx($1,0)";
+	}
+	elsif (/^\s*\[(.*),(.*)\]/) {
+		return "cplxe($1,$2)";
+	}
+	elsif (/^\s*'(.*)'/) {
+		my $ex = $1;
+		$ex =~ s/\bz\b/$target/g;
+		$ex =~ s/\br\b/abs($target)/g;
+		$ex =~ s/\bt\b/arg($target)/g;
+		$ex =~ s/\ba\b/Re($target)/g;
+		$ex =~ s/\bb\b/Im($target)/g;
+		return $ex;
+	}
+	elsif (/^\s*"(.*)"/) {
+		return "\"$1\"";
+	}
+	return $_;
+}
+
+sub check {
+	my ($test, $try, $got, $expected, @z) = @_;
+
+	print "# @_\n";
+
+	if ("$got" eq "$expected"
+	    ||
+	    ($expected =~ /^-?\d/ && $got == $expected)
+	    ||
+	    (abs($got - $expected) < $eps)
+	    ) {
+		print "ok $test\n";
+	} else {
+		print "not ok $test\n";
+		my $args = (@z == 1) ? "z = $z[0]" : "z0 = $z[0], z1 = $z[1]";
+		print "# '$try' expected: '$expected' got: '$got' for $args\n";
+	}
+}
+
+sub addsq {
+    my ($z1, $z2) = @_;
+    return ($z1 + i*$z2) * ($z1 - i*$z2);
+}
+
+sub subsq {
+    my ($z1, $z2) = @_;
+    return ($z1 + $z2) * ($z1 - $z2);
+}
+
+__END__
+&+;=
+(3,4):(3,4):(6,8)
+(-3,4):(3,-4):(0,0)
+(3,4):-3:(0,4)
+1:(4,2):(5,2)
+[2,0]:[2,pi]:(0,0)
+
+&++
+(2,1):(3,1)
+
+&-;=
+(2,3):(-2,-3)
+[2,pi/2]:[2,-(pi)/2]
+2:[2,0]:(0,0)
+[3,0]:2:(1,0)
+3:(4,5):(-1,-5)
+(4,5):3:(1,5)
+(2,1):(3,5):(-1,-4)
+
+&--
+(1,2):(0,2)
+[2,pi]:[3,pi]
+
+&*;=
+(0,1):(0,1):(-1,0)
+(4,5):(1,0):(4,5)
+[2,2*pi/3]:(1,0):[2,2*pi/3]
+2:(0,1):(0,2)
+(0,1):3:(0,3)
+(0,1):(4,1):(-1,4)
+(2,1):(4,-1):(9,2)
+
+&/;=
+(3,4):(3,4):(1,0)
+(4,-5):1:(4,-5)
+1:(0,1):(0,-1)
+(0,6):(0,2):(3,0)
+(9,2):(4,-1):(2,1)
+[4,pi]:[2,pi/2]:[2,pi/2]
+[2,pi/2]:[4,pi]:[0.5,-(pi)/2]
+
+&**;=
+(2,0):(3,0):(8,0)
+(3,0):(2,0):(9,0)
+(2,3):(4,0):(-119,-120)
+(0,0):(1,0):(0,0)
+(0,0):(2,3):(0,0)
+(1,0):(0,0):(1,0)
+(1,0):(1,0):(1,0)
+(1,0):(2,3):(1,0)
+(2,3):(0,0):(1,0)
+(2,3):(1,0):(2,3)
+(0,0):(0,0):(1,0)
+
+&Re
+(3,4):3
+(-3,4):-3
+[1,pi/2]:0
+
+&Im
+(3,4):4
+(3,-4):-4
+[1,pi/2]:1
+
+&abs
+(3,4):5
+(-3,4):5
+
+&arg
+[2,0]:0
+[-2,0]:pi
+
+&~
+(4,5):(4,-5)
+(-3,4):(-3,-4)
+[2,pi/2]:[2,-(pi)/2]
+
+&<
+(3,4):(1,2):0
+(3,4):(3,2):0
+(3,4):(3,8):1
+(4,4):(5,129):1
+
+&==
+(3,4):(4,5):0
+(3,4):(3,5):0
+(3,4):(2,4):0
+(3,4):(3,4):1
+
+&sqrt
+-9:(0,3)
+(-100,0):(0,10)
+(16,-30):(5,-3)
+
+&stringify_cartesian
+(-100,0):"-100"
+(0,1):"i"
+(4,-3):"4-3i"
+(4,0):"4"
+(-4,0):"-4"
+(-2,4):"-2+4i"
+(-2,-1):"-2-i"
+
+&stringify_polar
+[-1, 0]:"[1,pi]"
+[1, pi/3]:"[1,pi/3]"
+[6, -2*pi/3]:"[6,-2pi/3]"
+[0.5, -9*pi/11]:"[0.5,-9pi/11]"
+
+{ (4,3); [3,2]; (-3,4); (0,2); [2,1] }
+
+|'z + ~z':'2*Re(z)'
+|'z - ~z':'2*i*Im(z)'
+|'z * ~z':'abs(z) * abs(z)'
+
+{ (0.5, 0); (-0.5, 0); (2,3); [3,2]; (-3,2); (0,2); 3; 1.2; (-3, 0); (-2, -1); [2,1] }
+
+|'(root(z, 4))[1] ** 4':'z'
+|'(root(z, 5))[3] ** 5':'z'
+|'(root(z, 8))[7] ** 8':'z'
+|'abs(z)':'r'
+|'acot(z)':'acotan(z)'
+|'acsc(z)':'acosec(z)'
+|'acsc(z)':'asin(1 / z)'
+|'asec(z)':'acos(1 / z)'
+|'cbrt(z)':'cbrt(r) * exp(i * t/3)'
+|'cos(acos(z))':'z'
+|'addsq(cos(z), sin(z))':1
+|'cos(z)':'cosh(i*z)'
+|'subsq(cosh(z), sinh(z))':1
+|'cot(acot(z))':'z'
+|'cot(z)':'1 / tan(z)'
+|'cot(z)':'cotan(z)'
+|'csc(acsc(z))':'z'
+|'csc(z)':'1 / sin(z)'
+|'csc(z)':'cosec(z)'
+|'exp(log(z))':'z'
+|'exp(z)':'exp(a) * exp(i * b)'
+|'ln(z)':'log(z)'
+|'log(exp(z))':'z'
+|'log(z)':'log(r) + i*t'
+|'log10(z)':'log(z) / log(10)'
+|'logn(z, 2)':'log(z) / log(2)'
+|'logn(z, 3)':'log(z) / log(3)'
+|'sec(asec(z))':'z'
+|'sec(z)':'1 / cos(z)'
+|'sin(asin(z))':'z'
+|'sin(i * z)':'i * sinh(z)'
+|'sqrt(z) * sqrt(z)':'z'
+|'sqrt(z)':'sqrt(r) * exp(i * t/2)'
+|'tan(atan(z))':'z'
+|'z**z':'exp(z * log(z))'
+
+{ (1,1); [1,0.5]; (-2, -1); 2; -3; (-1,0.5); (0,0.5); 0.5; (2, 0); (-1, -2) }
+
+|'cosh(acosh(z))':'z'
+|'coth(acoth(z))':'z'
+|'coth(z)':'1 / tanh(z)'
+|'coth(z)':'cotanh(z)'
+|'csch(acsch(z))':'z'
+|'csch(z)':'1 / sinh(z)'
+|'csch(z)':'cosech(z)'
+|'sech(asech(z))':'z'
+|'sech(z)':'1 / cosh(z)'
+|'sinh(asinh(z))':'z'
+|'tanh(atanh(z))':'z'
+
+{ (0.2,-0.4); [1,0.5]; -1.2; (-1,0.5); 0.5; (1.1, 0) }
+
+|'acos(cos(z)) ** 2':'z * z'
+|'acosh(cosh(z)) ** 2':'z * z'
+|'acoth(z)':'acotanh(z)'
+|'acoth(z)':'atanh(1 / z)'
+|'acsch(z)':'acosech(z)'
+|'acsch(z)':'asinh(1 / z)'
+|'asech(z)':'acosh(1 / z)'
+|'asin(sin(z))':'z'
+|'asinh(sinh(z))':'z'
+|'atan(tan(z))':'z'
+|'atanh(tanh(z))':'z'
+
+&log
+(-2.0,0):(   0.69314718055995,  3.14159265358979)
+(-1.0,0):(   0               ,  3.14159265358979)
+(-0.5,0):(  -0.69314718055995,  3.14159265358979)
+( 0.5,0):(  -0.69314718055995,  0               )
+( 1.0,0):(   0               ,  0               )
+( 2.0,0):(   0.69314718055995,  0               )
+
+&log
+( 2, 3):(    1.28247467873077,  0.98279372324733)
+(-2, 3):(    1.28247467873077,  2.15879893034246)
+(-2,-3):(    1.28247467873077, -2.15879893034246)
+( 2,-3):(    1.28247467873077, -0.98279372324733)
+
+&sin
+(-2.0,0):(  -0.90929742682568,  0               )
+(-1.0,0):(  -0.84147098480790,  0               )
+(-0.5,0):(  -0.47942553860420,  0               )
+( 0.0,0):(   0               ,  0               )
+( 0.5,0):(   0.47942553860420,  0               )
+( 1.0,0):(   0.84147098480790,  0               )
+( 2.0,0):(   0.90929742682568,  0               )
+
+&sin
+( 2, 3):(  9.15449914691143, -4.16890695996656)
+(-2, 3):( -9.15449914691143, -4.16890695996656)
+(-2,-3):( -9.15449914691143,  4.16890695996656)
+( 2,-3):(  9.15449914691143,  4.16890695996656)
+
+&cos
+(-2.0,0):(  -0.41614683654714,  0               )
+(-1.0,0):(   0.54030230586814,  0               )
+(-0.5,0):(   0.87758256189037,  0               )
+( 0.0,0):(   1               ,  0               )
+( 0.5,0):(   0.87758256189037,  0               )
+( 1.0,0):(   0.54030230586814,  0               )
+( 2.0,0):(  -0.41614683654714,  0               )
+
+&cos
+( 2, 3):( -4.18962569096881, -9.10922789375534)
+(-2, 3):( -4.18962569096881,  9.10922789375534)
+(-2,-3):( -4.18962569096881, -9.10922789375534)
+( 2,-3):( -4.18962569096881,  9.10922789375534)
+
+&tan
+(-2.0,0):(   2.18503986326152,  0               )
+(-1.0,0):(  -1.55740772465490,  0               )
+(-0.5,0):(  -0.54630248984379,  0               )
+( 0.0,0):(   0               ,  0               )
+( 0.5,0):(   0.54630248984379,  0               )
+( 1.0,0):(   1.55740772465490,  0               )
+( 2.0,0):(  -2.18503986326152,  0               )
+
+&tan
+( 2, 3):( -0.00376402564150,  1.00323862735361)
+(-2, 3):(  0.00376402564150,  1.00323862735361)
+(-2,-3):(  0.00376402564150, -1.00323862735361)
+( 2,-3):( -0.00376402564150, -1.00323862735361)
+
+&sec
+(-2.0,0):(  -2.40299796172238,  0               )
+(-1.0,0):(   1.85081571768093,  0               )
+(-0.5,0):(   1.13949392732455,  0               )
+( 0.0,0):(   1               ,  0               )
+( 0.5,0):(   1.13949392732455,  0               )
+( 1.0,0):(   1.85081571768093,  0               )
+( 2.0,0):(  -2.40299796172238,  0               )
+
+&sec
+( 2, 3):( -0.04167496441114,  0.09061113719624)
+(-2, 3):( -0.04167496441114, -0.09061113719624)
+(-2,-3):( -0.04167496441114,  0.09061113719624)
+( 2,-3):( -0.04167496441114, -0.09061113719624)
+
+&csc
+(-2.0,0):(  -1.09975017029462,  0               )
+(-1.0,0):(  -1.18839510577812,  0               )
+(-0.5,0):(  -2.08582964293349,  0               )
+( 0.5,0):(   2.08582964293349,  0               )
+( 1.0,0):(   1.18839510577812,  0               )
+( 2.0,0):(   1.09975017029462,  0               )
+
+&csc
+( 2, 3):(  0.09047320975321,  0.04120098628857)
+(-2, 3):( -0.09047320975321,  0.04120098628857)
+(-2,-3):( -0.09047320975321, -0.04120098628857)
+( 2,-3):(  0.09047320975321, -0.04120098628857)
+
+&cot
+(-2.0,0):(   0.45765755436029,  0               )
+(-1.0,0):(  -0.64209261593433,  0               )
+(-0.5,0):(  -1.83048772171245,  0               )
+( 0.5,0):(   1.83048772171245,  0               )
+( 1.0,0):(   0.64209261593433,  0               )
+( 2.0,0):(  -0.45765755436029,  0               )
+
+&cot
+( 2, 3):( -0.00373971037634, -0.99675779656936)
+(-2, 3):(  0.00373971037634, -0.99675779656936)
+(-2,-3):(  0.00373971037634,  0.99675779656936)
+( 2,-3):( -0.00373971037634,  0.99675779656936)
+
+&asin
+(-2.0,0):(  -1.57079632679490,  1.31695789692482)
+(-1.0,0):(  -1.57079632679490,  0               )
+(-0.5,0):(  -0.52359877559830,  0               )
+( 0.0,0):(   0               ,  0               )
+( 0.5,0):(   0.52359877559830,  0               )
+( 1.0,0):(   1.57079632679490,  0               )
+( 2.0,0):(   1.57079632679490, -1.31695789692482)
+
+&asin
+( 2, 3):(  0.57065278432110,  1.98338702991654)
+(-2, 3):( -0.57065278432110,  1.98338702991654)
+(-2,-3):( -0.57065278432110, -1.98338702991654)
+( 2,-3):(  0.57065278432110, -1.98338702991654)
+
+&acos
+(-2.0,0):(   3.14159265358979, -1.31695789692482)
+(-1.0,0):(   3.14159265358979,  0               )
+(-0.5,0):(   2.09439510239320,  0               )
+( 0.0,0):(   1.57079632679490,  0               )
+( 0.5,0):(   1.04719755119660,  0               )
+( 1.0,0):(   0               ,  0               )
+( 2.0,0):(   0               ,  1.31695789692482)
+
+&acos
+( 2, 3):(  1.00014354247380, -1.98338702991654)
+(-2, 3):(  2.14144911111600, -1.98338702991654)
+(-2,-3):(  2.14144911111600,  1.98338702991654)
+( 2,-3):(  1.00014354247380,  1.98338702991654)
+
+&atan
+(-2.0,0):(  -1.10714871779409,  0               )
+(-1.0,0):(  -0.78539816339745,  0               )
+(-0.5,0):(  -0.46364760900081,  0               )
+( 0.0,0):(   0               ,  0               )
+( 0.5,0):(   0.46364760900081,  0               )
+( 1.0,0):(   0.78539816339745,  0               )
+( 2.0,0):(   1.10714871779409,  0               )
+
+&atan
+( 2, 3):(  1.40992104959658,  0.22907268296854)
+(-2, 3):( -1.40992104959658,  0.22907268296854)
+(-2,-3):( -1.40992104959658, -0.22907268296854)
+( 2,-3):(  1.40992104959658, -0.22907268296854)
+
+&asec
+(-2.0,0):(   2.09439510239320,  0               )
+(-1.0,0):(   3.14159265358979,  0               )
+(-0.5,0):(   3.14159265358979, -1.31695789692482)
+( 0.5,0):(   0               ,  1.31695789692482)
+( 1.0,0):(   0               ,  0               )
+( 2.0,0):(   1.04719755119660,  0               )
+
+&asec
+( 2, 3):(  1.42041072246703,  0.23133469857397)
+(-2, 3):(  1.72118193112276,  0.23133469857397)
+(-2,-3):(  1.72118193112276, -0.23133469857397)
+( 2,-3):(  1.42041072246703, -0.23133469857397)
+
+&acsc
+(-2.0,0):(  -0.52359877559830,  0               )
+(-1.0,0):(  -1.57079632679490,  0               )
+(-0.5,0):(  -1.57079632679490,  1.31695789692482)
+( 0.5,0):(   1.57079632679490, -1.31695789692482)
+( 1.0,0):(   1.57079632679490,  0               )
+( 2.0,0):(   0.52359877559830,  0               )
+
+&acsc
+( 2, 3):(  0.15038560432786, -0.23133469857397)
+(-2, 3):( -0.15038560432786, -0.23133469857397)
+(-2,-3):( -0.15038560432786,  0.23133469857397)
+( 2,-3):(  0.15038560432786,  0.23133469857397)
+
+&acot
+(-2.0,0):(  -0.46364760900081,  0               )
+(-1.0,0):(  -0.78539816339745,  0               )
+(-0.5,0):(  -1.10714871779409,  0               )
+( 0.5,0):(   1.10714871779409,  0               )
+( 1.0,0):(   0.78539816339745,  0               )
+( 2.0,0):(   0.46364760900081,  0               )
+
+&acot
+( 2, 3):(  0.16087527719832, -0.22907268296854)
+(-2, 3):( -0.16087527719832, -0.22907268296854)
+(-2,-3):( -0.16087527719832,  0.22907268296854)
+( 2,-3):(  0.16087527719832,  0.22907268296854)
+
+&sinh
+(-2.0,0):(  -3.62686040784702,  0               )
+(-1.0,0):(  -1.17520119364380,  0               )
+(-0.5,0):(  -0.52109530549375,  0               )
+( 0.0,0):(   0               ,  0               )
+( 0.5,0):(   0.52109530549375,  0               )
+( 1.0,0):(   1.17520119364380,  0               )
+( 2.0,0):(   3.62686040784702,  0               )
+
+&sinh
+( 2, 3):( -3.59056458998578,  0.53092108624852)
+(-2, 3):(  3.59056458998578,  0.53092108624852)
+(-2,-3):(  3.59056458998578, -0.53092108624852)
+( 2,-3):( -3.59056458998578, -0.53092108624852)
+
+&cosh
+(-2.0,0):(   3.76219569108363,  0               )
+(-1.0,0):(   1.54308063481524,  0               )
+(-0.5,0):(   1.12762596520638,  0               )
+( 0.0,0):(   1               ,  0               )
+( 0.5,0):(   1.12762596520638,  0               )
+( 1.0,0):(   1.54308063481524,  0               )
+( 2.0,0):(   3.76219569108363,  0               )
+
+&cosh
+( 2, 3):( -3.72454550491532,  0.51182256998738)
+(-2, 3):( -3.72454550491532, -0.51182256998738)
+(-2,-3):( -3.72454550491532,  0.51182256998738)
+( 2,-3):( -3.72454550491532, -0.51182256998738)
+
+&tanh
+(-2.0,0):(  -0.96402758007582,  0               )
+(-1.0,0):(  -0.76159415595576,  0               )
+(-0.5,0):(  -0.46211715726001,  0               )
+( 0.0,0):(   0               ,  0               )
+( 0.5,0):(   0.46211715726001,  0               )
+( 1.0,0):(   0.76159415595576,  0               )
+( 2.0,0):(   0.96402758007582,  0               )
+
+&tanh
+( 2, 3):(  0.96538587902213, -0.00988437503832)
+(-2, 3):( -0.96538587902213, -0.00988437503832)
+(-2,-3):( -0.96538587902213,  0.00988437503832)
+( 2,-3):(  0.96538587902213,  0.00988437503832)
+
+&sech
+(-2.0,0):(   0.26580222883408,  0               )
+(-1.0,0):(   0.64805427366389,  0               )
+(-0.5,0):(   0.88681888397007,  0               )
+( 0.0,0):(   1               ,  0               )
+( 0.5,0):(   0.88681888397007,  0               )
+( 1.0,0):(   0.64805427366389,  0               )
+( 2.0,0):(   0.26580222883408,  0               )
+
+&sech
+( 2, 3):( -0.26351297515839, -0.03621163655877)
+(-2, 3):( -0.26351297515839,  0.03621163655877)
+(-2,-3):( -0.26351297515839, -0.03621163655877)
+( 2,-3):( -0.26351297515839,  0.03621163655877)
+
+&csch
+(-2.0,0):(  -0.27572056477178,  0               )
+(-1.0,0):(  -0.85091812823932,  0               )
+(-0.5,0):(  -1.91903475133494,  0               )
+( 0.5,0):(   1.91903475133494,  0               )
+( 1.0,0):(   0.85091812823932,  0               )
+( 2.0,0):(   0.27572056477178,  0               )
+
+&csch
+( 2, 3):( -0.27254866146294, -0.04030057885689)
+(-2, 3):(  0.27254866146294, -0.04030057885689)
+(-2,-3):(  0.27254866146294,  0.04030057885689)
+( 2,-3):( -0.27254866146294,  0.04030057885689)
+
+&coth
+(-2.0,0):(  -1.03731472072755,  0               )
+(-1.0,0):(  -1.31303528549933,  0               )
+(-0.5,0):(  -2.16395341373865,  0               )
+( 0.5,0):(   2.16395341373865,  0               )
+( 1.0,0):(   1.31303528549933,  0               )
+( 2.0,0):(   1.03731472072755,  0               )
+
+&coth
+( 2, 3):(  1.03574663776500,  0.01060478347034)
+(-2, 3):( -1.03574663776500,  0.01060478347034)
+(-2,-3):( -1.03574663776500, -0.01060478347034)
+( 2,-3):(  1.03574663776500, -0.01060478347034)
+
+&asinh
+(-2.0,0):(  -1.44363547517881,  0               )
+(-1.0,0):(  -0.88137358701954,  0               )
+(-0.5,0):(  -0.48121182505960,  0               )
+( 0.0,0):(   0               ,  0               )
+( 0.5,0):(   0.48121182505960,  0               )
+( 1.0,0):(   0.88137358701954,  0               )
+( 2.0,0):(   1.44363547517881,  0               )
+
+&asinh
+( 2, 3):(  1.96863792579310,  0.96465850440760)
+(-2, 3):( -1.96863792579310,  0.96465850440761)
+(-2,-3):( -1.96863792579310, -0.96465850440761)
+( 2,-3):(  1.96863792579310, -0.96465850440760)
+
+&acosh
+(-2.0,0):(   1.31695789692482,  3.14159265358979)
+(-1.0,0):(   0,                 3.14159265358979)
+(-0.5,0):(   0,                 2.09439510239320)
+( 0.0,0):(   0,                 1.57079632679490)
+( 0.5,0):(   0,                 1.04719755119660)
+( 1.0,0):(   0               ,  0               )
+( 2.0,0):(   1.31695789692482,  0               )
+
+&acosh
+( 2, 3):(  1.98338702991654,  1.00014354247380)
+(-2, 3):(  1.98338702991653,  2.14144911111600)
+(-2,-3):(  1.98338702991653, -2.14144911111600)
+( 2,-3):(  1.98338702991654, -1.00014354247380)
+
+&atanh
+(-2.0,0):(  -0.54930614433405,  1.57079632679490)
+(-0.5,0):(  -0.54930614433405,  0               )
+( 0.0,0):(   0               ,  0               )
+( 0.5,0):(   0.54930614433405,  0               )
+( 2.0,0):(   0.54930614433405,  1.57079632679490)
+
+&atanh
+( 2, 3):(  0.14694666622553,  1.33897252229449)
+(-2, 3):( -0.14694666622553,  1.33897252229449)
+(-2,-3):( -0.14694666622553, -1.33897252229449)
+( 2,-3):(  0.14694666622553, -1.33897252229449)
+
+&asech
+(-2.0,0):(   0               , 2.09439510239320)
+(-1.0,0):(   0               , 3.14159265358979)
+(-0.5,0):(   1.31695789692482, 3.14159265358979)
+( 0.5,0):(   1.31695789692482, 0               )
+( 1.0,0):(   0               , 0               )
+( 2.0,0):(   0               , 1.04719755119660)
+
+&asech
+( 2, 3):(  0.23133469857397, -1.42041072246703)
+(-2, 3):(  0.23133469857397, -1.72118193112276)
+(-2,-3):(  0.23133469857397,  1.72118193112276)
+( 2,-3):(  0.23133469857397,  1.42041072246703)
+
+&acsch
+(-2.0,0):(  -0.48121182505960, 0               )
+(-1.0,0):(  -0.88137358701954, 0               )
+(-0.5,0):(  -1.44363547517881, 0               )
+( 0.5,0):(   1.44363547517881, 0               )
+( 1.0,0):(   0.88137358701954, 0               )
+( 2.0,0):(   0.48121182505960, 0               )
+
+&acsch
+( 2, 3):(  0.15735549884499, -0.22996290237721)
+(-2, 3):( -0.15735549884499, -0.22996290237721)
+(-2,-3):( -0.15735549884499,  0.22996290237721)
+( 2,-3):(  0.15735549884499,  0.22996290237721)
+
+&acoth
+(-2.0,0):(  -0.54930614433405, 0               )
+(-0.5,0):(  -0.54930614433405, 1.57079632679490)
+( 0.5,0):(   0.54930614433405, 1.57079632679490)
+( 2.0,0):(   0.54930614433405, 0               )
+
+&acoth
+( 2, 3):(  0.14694666622553, -0.23182380450040)
+(-2, 3):( -0.14694666622553, -0.23182380450040)
+(-2,-3):( -0.14694666622553,  0.23182380450040)
+( 2,-3):(  0.14694666622553,  0.23182380450040)
+
+# eof