1N/A# Regression tests for the Math::Complex pacakge 1N/A# -- Raphael Manfredi since Sep 1996 1N/A# -- Jarkko Hietaniemi since Mar 1997 1N/A# -- Daniel S. Lewart since Sep 1997 1N/A chdir 't' if -d 't'; 1N/A 'my ($res, $s0,$s1,$s2,$s3,$s4,$s5,$s6,$s7,$s8,$s9,$s10, $z0,$z1,$z2);' . 1N/Aif ($^O eq 'unicos') { # For some reason root() produces very inaccurate 1N/A $eps = 1e-10; # results in Cray UNICOS, and occasionally also 1N/A} # cos(), sin(), cosh(), sinh(). The division 1N/A # of doubles is the current suspect. 1N/A next if $_ eq '' || /^\#/; 1N/A elsif (/^\{(.+)\}/) { 1N/A for ($i = 0; $i < @set; $i++) { 1N/A # textual value as found in set definition 1N/A print "# $test Re(z) = ",$z->Re(), " Im(z) = ", $z->Im(), " z = $z\n"; 1N/A print "# $test Re(z) = ",$z->Re(), " Im(z) = ", $z->Im(), " z = $z\n"; 1N/A print "# $test Re(z) = ",$z->Re(), " Im(z) = ", $z->Im(), " z = $z\n"; 1N/Amy $pi = cplx(pi, 0); 1N/Amy $pii = cplx(0, pi); 1N/Amy $pip2 = cplx(pi/2, 0); 1N/Amy $zero = cplx(0, 0); 1N/A# test the divbyzeros 1N/A (\$bad) = (\$@ =~ /(.+)/); 1N/A print "# $test op = $op divbyzero? \$bad...\n"; 1N/A print 'not ' unless (\$@ =~ /Division by zero/); 1N/A# test the logofzeros 1N/A (\$bad) = (\$@ =~ /(.+)/); 1N/A print "# $test op = $op logofzero? \$bad...\n"; 1N/A print 'not ' unless (\$@ =~ /Logarithm of zero/); 1N/A# 'acoth(-1)', # Log of zero. 1N/A# 'atanh(-1)', # Log of zero. 1N/A eval 'root(2, $op)'; 1N/A (\$bad) = (\$@ =~ /(.+)/); 1N/A print "# $test op = $op badroot? \$bad...\n"; 1N/A print 'not ' unless (\$@ =~ /root rank must be/); 1N/A print "# package display_format cartesian?\n"; 1N/A print "not " unless Math::Complex->display_format eq 'cartesian'; 1N/A my \$j = (root(1,3))[1]; 1N/A \$j->display_format('polar'); 1N/A print "# j display_format polar?\n"; 1N/A print "not " unless \$j->display_format eq 'polar'; 1N/A print "# j = \$j\n"; 1N/A print "not " unless "\$j" eq "[1,2pi/3]"; 1N/A %display_format = \$j->display_format; 1N/A print "# display_format{style} polar?\n"; 1N/A print "not " unless \$display_format{style} eq 'polar'; 1N/A print "# keys %display_format == 2?\n"; 1N/A print "not " unless keys %display_format == 2; 1N/A \$j->display_format('style' => 'cartesian', 'format' => '%.5f'); 1N/A print "# j = \$j\n"; 1N/A print "not " unless "\$j" eq "-0.50000+0.86603i"; 1N/A %display_format = \$j->display_format; 1N/A print "# display_format{format} %.5f?\n"; 1N/A print "not " unless \$display_format{format} eq '%.5f'; 1N/A print "# keys %display_format == 3?\n"; 1N/A print "not " unless keys %display_format == 3; 1N/A \$j->display_format('format' => undef); 1N/A print "# j = \$j\n"; 1N/A print "not " unless "\$j" =~ /^-0(?:\\.5(?:0000\\d+)?|\\.49999\\d+)\\+0.86602540\\d+i\$/; 1N/A \$j->display_format('style' => 'polar', 'polar_pretty_print' => 0); 1N/A print "# j = \$j\n"; 1N/A print "not " unless "\$j" =~ /^\\[1,2\\.09439510\\d+\\]\$/; 1N/A \$j->display_format('style' => 'cartesian', 'format' => '(%.5g)'); 1N/A print "# j = \$j\n"; 1N/A print "not " unless "\$j" eq "(-0.5)+(0.86603)i"; 1N/A print "# j display_format cartesian?\n"; 1N/A print "not " unless \$j->display_format eq 'cartesian'; 1N/A print "# remake 2+3i\n"; 1N/A my \$z = cplx('2+3i'); 1N/A print "not " unless \$z == Math::Complex->make(2,3); 1N/A print "# remake 3i\n"; 1N/A my \$z = Math::Complex->make('3i'); 1N/A print "not " unless \$z == cplx(0,3); 1N/A print "# remake [2,3]\n"; 1N/A my \$z = cplxe('[2,3]'); 1N/A print "not " unless \$z == Math::Complex->emake(2,3); 1N/A print "# remake [2]\n"; 1N/A my \$z = Math::Complex->emake('[2]'); 1N/A print "not " unless \$z == cplxe(2); 1N/A # check the op= works 1N/A my \$za = cplx(ref \$z0 ? \@{\$z0->cartesian} : (\$z0, 0)); 1N/A my (\$z1r, \$z1i) = ref \$z1 ? \@{\$z1->cartesian} : (\$z1, 0); 1N/A my \$zb = cplx(\$z1r, \$z1i); 1N/A my (\$zbr, \$zbi) = \@{\$zb->cartesian}; 1N/A check($test, '\$z0 $op= \$z1', \$za, \$z$#args, $args); 1N/A # check that the rhs has not changed 1N/A for ($i = 0; $i < @set; $i++) { 1N/A if (/^\s*\((.*),(.*)\)/) { 1N/A return "cplx($1,$2)"; 1N/A elsif (/^\s*([\-\+]?(?:\d+(\.\d+)?|\.\d+)(?:[e[\-\+]\d+])?)/) { 1N/A return "cplx($1,0)"; 1N/A elsif (/^\s*\[(.*),(.*)\]/) { 1N/A return "cplxe($1,$2)"; 1N/A elsif (/^\s*'(.*)'/) { 1N/A elsif (/^\s*"(.*)"/) { 1N/A my $args = (@z == 1) ? "z = $z[0]" : "z0 = $z[0], z1 = $z[1]"; 1N/A(2,3):(4,0):(-119,-120) 1N/A[0.5, -9*pi/11]:"[0.5,-9pi/11]" 1N/A{ (4,3); [3,2]; (-3,4); (0,2); [2,1] } 1N/A|'z - ~z':'2*i*Im(z)' 1N/A|'z * ~z':'abs(z) * abs(z)' 1N/A{ (0.5, 0); (-0.5, 0); (2,3); [3,2]; (-3,2); (0,2); 3; 1.2; (-3, 0); (-2, -1); [2,1] } 1N/A|'(root(z, 4))[1] ** 4':'z' 1N/A|'(root(z, 5))[3] ** 5':'z' 1N/A|'(root(z, 8))[7] ** 8':'z' 1N/A|'acot(z)':'acotan(z)' 1N/A|'acsc(z)':'acosec(z)' 1N/A|'acsc(z)':'asin(1 / z)' 1N/A|'asec(z)':'acos(1 / z)' 1N/A|'cbrt(z)':'cbrt(r) * exp(i * t/3)' 1N/A|'addsq(cos(z), sin(z))':1 1N/A|'cos(z)':'cosh(i*z)' 1N/A|'subsq(cosh(z), sinh(z))':1 1N/A|'cot(z)':'1 / tan(z)' 1N/A|'csc(z)':'1 / sin(z)' 1N/A|'exp(z)':'exp(a) * exp(i * b)' 1N/A|'log(z)':'log(r) + i*t' 1N/A|'log10(z)':'log(z) / log(10)' 1N/A|'logn(z, 2)':'log(z) / log(2)' 1N/A|'logn(z, 3)':'log(z) / log(3)' 1N/A|'sec(z)':'1 / cos(z)' 1N/A|'sin(i * z)':'i * sinh(z)' 1N/A|'sqrt(z) * sqrt(z)':'z' 1N/A|'sqrt(z)':'sqrt(r) * exp(i * t/2)' 1N/A|'z**z':'exp(z * log(z))' 1N/A{ (1,1); [1,0.5]; (-2, -1); 2; -3; (-1,0.5); (0,0.5); 0.5; (2, 0); (-1, -2) } 1N/A|'cosh(acosh(z))':'z' 1N/A|'coth(acoth(z))':'z' 1N/A|'coth(z)':'1 / tanh(z)' 1N/A|'coth(z)':'cotanh(z)' 1N/A|'csch(acsch(z))':'z' 1N/A|'csch(z)':'1 / sinh(z)' 1N/A|'csch(z)':'cosech(z)' 1N/A|'sech(asech(z))':'z' 1N/A|'sech(z)':'1 / cosh(z)' 1N/A|'sinh(asinh(z))':'z' 1N/A|'tanh(atanh(z))':'z' 1N/A{ (0.2,-0.4); [1,0.5]; -1.2; (-1,0.5); 0.5; (1.1, 0) } 1N/A|'acos(cos(z)) ** 2':'z * z' 1N/A|'acosh(cosh(z)) ** 2':'z * z' 1N/A|'acoth(z)':'acotanh(z)' 1N/A|'acoth(z)':'atanh(1 / z)' 1N/A|'acsch(z)':'acosech(z)' 1N/A|'acsch(z)':'asinh(1 / z)' 1N/A|'asech(z)':'acosh(1 / z)' 1N/A|'asinh(sinh(z))':'z' 1N/A|'atanh(tanh(z))':'z' 1N/A(-2.0,0):( 0.69314718055995, 3.14159265358979) 1N/A(-1.0,0):( 0 , 3.14159265358979) 1N/A(-0.5,0):( -0.69314718055995, 3.14159265358979) 1N/A( 0.5,0):( -0.69314718055995, 0 ) 1N/A( 2.0,0):( 0.69314718055995, 0 ) 1N/A( 2, 3):( 1.28247467873077, 0.98279372324733) 1N/A(-2, 3):( 1.28247467873077, 2.15879893034246) 1N/A(-2,-3):( 1.28247467873077, -2.15879893034246) 1N/A( 2,-3):( 1.28247467873077, -0.98279372324733) 1N/A(-2.0,0):( -0.90929742682568, 0 ) 1N/A(-1.0,0):( -0.84147098480790, 0 ) 1N/A(-0.5,0):( -0.47942553860420, 0 ) 1N/A( 0.5,0):( 0.47942553860420, 0 ) 1N/A( 1.0,0):( 0.84147098480790, 0 ) 1N/A( 2.0,0):( 0.90929742682568, 0 ) 1N/A( 2, 3):( 9.15449914691143, -4.16890695996656) 1N/A(-2, 3):( -9.15449914691143, -4.16890695996656) 1N/A(-2,-3):( -9.15449914691143, 4.16890695996656) 1N/A( 2,-3):( 9.15449914691143, 4.16890695996656) 1N/A(-2.0,0):( -0.41614683654714, 0 ) 1N/A(-1.0,0):( 0.54030230586814, 0 ) 1N/A(-0.5,0):( 0.87758256189037, 0 ) 1N/A( 0.5,0):( 0.87758256189037, 0 ) 1N/A( 1.0,0):( 0.54030230586814, 0 ) 1N/A( 2.0,0):( -0.41614683654714, 0 ) 1N/A( 2, 3):( -4.18962569096881, -9.10922789375534) 1N/A(-2, 3):( -4.18962569096881, 9.10922789375534) 1N/A(-2,-3):( -4.18962569096881, -9.10922789375534) 1N/A( 2,-3):( -4.18962569096881, 9.10922789375534) 1N/A(-2.0,0):( 2.18503986326152, 0 ) 1N/A(-1.0,0):( -1.55740772465490, 0 ) 1N/A(-0.5,0):( -0.54630248984379, 0 ) 1N/A( 0.5,0):( 0.54630248984379, 0 ) 1N/A( 1.0,0):( 1.55740772465490, 0 ) 1N/A( 2.0,0):( -2.18503986326152, 0 ) 1N/A( 2, 3):( -0.00376402564150, 1.00323862735361) 1N/A(-2, 3):( 0.00376402564150, 1.00323862735361) 1N/A(-2,-3):( 0.00376402564150, -1.00323862735361) 1N/A( 2,-3):( -0.00376402564150, -1.00323862735361) 1N/A(-2.0,0):( -2.40299796172238, 0 ) 1N/A(-1.0,0):( 1.85081571768093, 0 ) 1N/A(-0.5,0):( 1.13949392732455, 0 ) 1N/A( 0.5,0):( 1.13949392732455, 0 ) 1N/A( 1.0,0):( 1.85081571768093, 0 ) 1N/A( 2.0,0):( -2.40299796172238, 0 ) 1N/A( 2, 3):( -0.04167496441114, 0.09061113719624) 1N/A(-2, 3):( -0.04167496441114, -0.09061113719624) 1N/A(-2,-3):( -0.04167496441114, 0.09061113719624) 1N/A( 2,-3):( -0.04167496441114, -0.09061113719624) 1N/A(-2.0,0):( -1.09975017029462, 0 ) 1N/A(-1.0,0):( -1.18839510577812, 0 ) 1N/A(-0.5,0):( -2.08582964293349, 0 ) 1N/A( 0.5,0):( 2.08582964293349, 0 ) 1N/A( 1.0,0):( 1.18839510577812, 0 ) 1N/A( 2.0,0):( 1.09975017029462, 0 ) 1N/A( 2, 3):( 0.09047320975321, 0.04120098628857) 1N/A(-2, 3):( -0.09047320975321, 0.04120098628857) 1N/A(-2,-3):( -0.09047320975321, -0.04120098628857) 1N/A( 2,-3):( 0.09047320975321, -0.04120098628857) 1N/A(-2.0,0):( 0.45765755436029, 0 ) 1N/A(-1.0,0):( -0.64209261593433, 0 ) 1N/A(-0.5,0):( -1.83048772171245, 0 ) 1N/A( 0.5,0):( 1.83048772171245, 0 ) 1N/A( 1.0,0):( 0.64209261593433, 0 ) 1N/A( 2.0,0):( -0.45765755436029, 0 ) 1N/A( 2, 3):( -0.00373971037634, -0.99675779656936) 1N/A(-2, 3):( 0.00373971037634, -0.99675779656936) 1N/A(-2,-3):( 0.00373971037634, 0.99675779656936) 1N/A( 2,-3):( -0.00373971037634, 0.99675779656936) 1N/A(-2.0,0):( -1.57079632679490, 1.31695789692482) 1N/A(-1.0,0):( -1.57079632679490, 0 ) 1N/A(-0.5,0):( -0.52359877559830, 0 ) 1N/A( 0.5,0):( 0.52359877559830, 0 ) 1N/A( 1.0,0):( 1.57079632679490, 0 ) 1N/A( 2.0,0):( 1.57079632679490, -1.31695789692482) 1N/A( 2, 3):( 0.57065278432110, 1.98338702991654) 1N/A(-2, 3):( -0.57065278432110, 1.98338702991654) 1N/A(-2,-3):( -0.57065278432110, -1.98338702991654) 1N/A( 2,-3):( 0.57065278432110, -1.98338702991654) 1N/A(-2.0,0):( 3.14159265358979, -1.31695789692482) 1N/A(-1.0,0):( 3.14159265358979, 0 ) 1N/A(-0.5,0):( 2.09439510239320, 0 ) 1N/A( 0.0,0):( 1.57079632679490, 0 ) 1N/A( 0.5,0):( 1.04719755119660, 0 ) 1N/A( 2.0,0):( 0 , 1.31695789692482) 1N/A( 2, 3):( 1.00014354247380, -1.98338702991654) 1N/A(-2, 3):( 2.14144911111600, -1.98338702991654) 1N/A(-2,-3):( 2.14144911111600, 1.98338702991654) 1N/A( 2,-3):( 1.00014354247380, 1.98338702991654) 1N/A(-2.0,0):( -1.10714871779409, 0 ) 1N/A(-1.0,0):( -0.78539816339745, 0 ) 1N/A(-0.5,0):( -0.46364760900081, 0 ) 1N/A( 0.5,0):( 0.46364760900081, 0 ) 1N/A( 1.0,0):( 0.78539816339745, 0 ) 1N/A( 2.0,0):( 1.10714871779409, 0 ) 1N/A( 2, 3):( 1.40992104959658, 0.22907268296854) 1N/A(-2, 3):( -1.40992104959658, 0.22907268296854) 1N/A(-2,-3):( -1.40992104959658, -0.22907268296854) 1N/A( 2,-3):( 1.40992104959658, -0.22907268296854) 1N/A(-2.0,0):( 2.09439510239320, 0 ) 1N/A(-1.0,0):( 3.14159265358979, 0 ) 1N/A(-0.5,0):( 3.14159265358979, -1.31695789692482) 1N/A( 0.5,0):( 0 , 1.31695789692482) 1N/A( 2.0,0):( 1.04719755119660, 0 ) 1N/A( 2, 3):( 1.42041072246703, 0.23133469857397) 1N/A(-2, 3):( 1.72118193112276, 0.23133469857397) 1N/A(-2,-3):( 1.72118193112276, -0.23133469857397) 1N/A( 2,-3):( 1.42041072246703, -0.23133469857397) 1N/A(-2.0,0):( -0.52359877559830, 0 ) 1N/A(-1.0,0):( -1.57079632679490, 0 ) 1N/A(-0.5,0):( -1.57079632679490, 1.31695789692482) 1N/A( 0.5,0):( 1.57079632679490, -1.31695789692482) 1N/A( 1.0,0):( 1.57079632679490, 0 ) 1N/A( 2.0,0):( 0.52359877559830, 0 ) 1N/A( 2, 3):( 0.15038560432786, -0.23133469857397) 1N/A(-2, 3):( -0.15038560432786, -0.23133469857397) 1N/A(-2,-3):( -0.15038560432786, 0.23133469857397) 1N/A( 2,-3):( 0.15038560432786, 0.23133469857397) 1N/A(-2.0,0):( -0.46364760900081, 0 ) 1N/A(-1.0,0):( -0.78539816339745, 0 ) 1N/A(-0.5,0):( -1.10714871779409, 0 ) 1N/A( 0.5,0):( 1.10714871779409, 0 ) 1N/A( 1.0,0):( 0.78539816339745, 0 ) 1N/A( 2.0,0):( 0.46364760900081, 0 ) 1N/A( 2, 3):( 0.16087527719832, -0.22907268296854) 1N/A(-2, 3):( -0.16087527719832, -0.22907268296854) 1N/A(-2,-3):( -0.16087527719832, 0.22907268296854) 1N/A( 2,-3):( 0.16087527719832, 0.22907268296854) 1N/A(-2.0,0):( -3.62686040784702, 0 ) 1N/A(-1.0,0):( -1.17520119364380, 0 ) 1N/A(-0.5,0):( -0.52109530549375, 0 ) 1N/A( 0.5,0):( 0.52109530549375, 0 ) 1N/A( 1.0,0):( 1.17520119364380, 0 ) 1N/A( 2.0,0):( 3.62686040784702, 0 ) 1N/A( 2, 3):( -3.59056458998578, 0.53092108624852) 1N/A(-2, 3):( 3.59056458998578, 0.53092108624852) 1N/A(-2,-3):( 3.59056458998578, -0.53092108624852) 1N/A( 2,-3):( -3.59056458998578, -0.53092108624852) 1N/A(-2.0,0):( 3.76219569108363, 0 ) 1N/A(-1.0,0):( 1.54308063481524, 0 ) 1N/A(-0.5,0):( 1.12762596520638, 0 ) 1N/A( 0.5,0):( 1.12762596520638, 0 ) 1N/A( 1.0,0):( 1.54308063481524, 0 ) 1N/A( 2.0,0):( 3.76219569108363, 0 ) 1N/A( 2, 3):( -3.72454550491532, 0.51182256998738) 1N/A(-2, 3):( -3.72454550491532, -0.51182256998738) 1N/A(-2,-3):( -3.72454550491532, 0.51182256998738) 1N/A( 2,-3):( -3.72454550491532, -0.51182256998738) 1N/A(-2.0,0):( -0.96402758007582, 0 ) 1N/A(-1.0,0):( -0.76159415595576, 0 ) 1N/A(-0.5,0):( -0.46211715726001, 0 ) 1N/A( 0.5,0):( 0.46211715726001, 0 ) 1N/A( 1.0,0):( 0.76159415595576, 0 ) 1N/A( 2.0,0):( 0.96402758007582, 0 ) 1N/A( 2, 3):( 0.96538587902213, -0.00988437503832) 1N/A(-2, 3):( -0.96538587902213, -0.00988437503832) 1N/A(-2,-3):( -0.96538587902213, 0.00988437503832) 1N/A( 2,-3):( 0.96538587902213, 0.00988437503832) 1N/A(-2.0,0):( 0.26580222883408, 0 ) 1N/A(-1.0,0):( 0.64805427366389, 0 ) 1N/A(-0.5,0):( 0.88681888397007, 0 ) 1N/A( 0.5,0):( 0.88681888397007, 0 ) 1N/A( 1.0,0):( 0.64805427366389, 0 ) 1N/A( 2.0,0):( 0.26580222883408, 0 ) 1N/A( 2, 3):( -0.26351297515839, -0.03621163655877) 1N/A(-2, 3):( -0.26351297515839, 0.03621163655877) 1N/A(-2,-3):( -0.26351297515839, -0.03621163655877) 1N/A( 2,-3):( -0.26351297515839, 0.03621163655877) 1N/A(-2.0,0):( -0.27572056477178, 0 ) 1N/A(-1.0,0):( -0.85091812823932, 0 ) 1N/A(-0.5,0):( -1.91903475133494, 0 ) 1N/A( 0.5,0):( 1.91903475133494, 0 ) 1N/A( 1.0,0):( 0.85091812823932, 0 ) 1N/A( 2.0,0):( 0.27572056477178, 0 ) 1N/A( 2, 3):( -0.27254866146294, -0.04030057885689) 1N/A(-2, 3):( 0.27254866146294, -0.04030057885689) 1N/A(-2,-3):( 0.27254866146294, 0.04030057885689) 1N/A( 2,-3):( -0.27254866146294, 0.04030057885689) 1N/A(-2.0,0):( -1.03731472072755, 0 ) 1N/A(-1.0,0):( -1.31303528549933, 0 ) 1N/A(-0.5,0):( -2.16395341373865, 0 ) 1N/A( 0.5,0):( 2.16395341373865, 0 ) 1N/A( 1.0,0):( 1.31303528549933, 0 ) 1N/A( 2.0,0):( 1.03731472072755, 0 ) 1N/A( 2, 3):( 1.03574663776500, 0.01060478347034) 1N/A(-2, 3):( -1.03574663776500, 0.01060478347034) 1N/A(-2,-3):( -1.03574663776500, -0.01060478347034) 1N/A( 2,-3):( 1.03574663776500, -0.01060478347034) 1N/A(-2.0,0):( -1.44363547517881, 0 ) 1N/A(-1.0,0):( -0.88137358701954, 0 ) 1N/A(-0.5,0):( -0.48121182505960, 0 ) 1N/A( 0.5,0):( 0.48121182505960, 0 ) 1N/A( 1.0,0):( 0.88137358701954, 0 ) 1N/A( 2.0,0):( 1.44363547517881, 0 ) 1N/A( 2, 3):( 1.96863792579310, 0.96465850440760) 1N/A(-2, 3):( -1.96863792579310, 0.96465850440761) 1N/A(-2,-3):( -1.96863792579310, -0.96465850440761) 1N/A( 2,-3):( 1.96863792579310, -0.96465850440760) 1N/A(-2.0,0):( 1.31695789692482, 3.14159265358979) 1N/A(-1.0,0):( 0, 3.14159265358979) 1N/A(-0.5,0):( 0, 2.09439510239320) 1N/A( 0.0,0):( 0, 1.57079632679490) 1N/A( 0.5,0):( 0, 1.04719755119660) 1N/A( 2.0,0):( 1.31695789692482, 0 ) 1N/A( 2, 3):( 1.98338702991654, 1.00014354247380) 1N/A(-2, 3):( 1.98338702991653, 2.14144911111600) 1N/A(-2,-3):( 1.98338702991653, -2.14144911111600) 1N/A( 2,-3):( 1.98338702991654, -1.00014354247380) 1N/A(-2.0,0):( -0.54930614433405, 1.57079632679490) 1N/A(-0.5,0):( -0.54930614433405, 0 ) 1N/A( 0.5,0):( 0.54930614433405, 0 ) 1N/A( 2.0,0):( 0.54930614433405, 1.57079632679490) 1N/A( 2, 3):( 0.14694666622553, 1.33897252229449) 1N/A(-2, 3):( -0.14694666622553, 1.33897252229449) 1N/A(-2,-3):( -0.14694666622553, -1.33897252229449) 1N/A( 2,-3):( 0.14694666622553, -1.33897252229449) 1N/A(-2.0,0):( 0 , 2.09439510239320) 1N/A(-1.0,0):( 0 , 3.14159265358979) 1N/A(-0.5,0):( 1.31695789692482, 3.14159265358979) 1N/A( 0.5,0):( 1.31695789692482, 0 ) 1N/A( 2.0,0):( 0 , 1.04719755119660) 1N/A( 2, 3):( 0.23133469857397, -1.42041072246703) 1N/A(-2, 3):( 0.23133469857397, -1.72118193112276) 1N/A(-2,-3):( 0.23133469857397, 1.72118193112276) 1N/A( 2,-3):( 0.23133469857397, 1.42041072246703) 1N/A(-2.0,0):( -0.48121182505960, 0 ) 1N/A(-1.0,0):( -0.88137358701954, 0 ) 1N/A(-0.5,0):( -1.44363547517881, 0 ) 1N/A( 0.5,0):( 1.44363547517881, 0 ) 1N/A( 1.0,0):( 0.88137358701954, 0 ) 1N/A( 2.0,0):( 0.48121182505960, 0 ) 1N/A( 2, 3):( 0.15735549884499, -0.22996290237721) 1N/A(-2, 3):( -0.15735549884499, -0.22996290237721) 1N/A(-2,-3):( -0.15735549884499, 0.22996290237721) 1N/A( 2,-3):( 0.15735549884499, 0.22996290237721) 1N/A(-2.0,0):( -0.54930614433405, 0 ) 1N/A(-0.5,0):( -0.54930614433405, 1.57079632679490) 1N/A( 0.5,0):( 0.54930614433405, 1.57079632679490) 1N/A( 2.0,0):( 0.54930614433405, 0 ) 1N/A( 2, 3):( 0.14694666622553, -0.23182380450040) 1N/A(-2, 3):( -0.14694666622553, -0.23182380450040) 1N/A(-2,-3):( -0.14694666622553, 0.23182380450040) 1N/A( 2,-3):( 0.14694666622553, 0.23182380450040)