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Diffstat (limited to 'contrib/perl5/t/lib/complex.t')
-rwxr-xr-x | contrib/perl5/t/lib/complex.t | 979 |
1 files changed, 0 insertions, 979 deletions
diff --git a/contrib/perl5/t/lib/complex.t b/contrib/perl5/t/lib/complex.t deleted file mode 100755 index 334374d..0000000 --- a/contrib/perl5/t/lib/complex.t +++ /dev/null @@ -1,979 +0,0 @@ -#!./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 |