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-rw-r--r--lib/Math/BigRat/t/bigfltpm.inc1673
1 files changed, 0 insertions, 1673 deletions
diff --git a/lib/Math/BigRat/t/bigfltpm.inc b/lib/Math/BigRat/t/bigfltpm.inc
deleted file mode 100644
index c51741bd42..0000000000
--- a/lib/Math/BigRat/t/bigfltpm.inc
+++ /dev/null
@@ -1,1673 +0,0 @@
-#include this file into another test for subclass testing...
-
-ok ($class->config()->{lib},$CL);
-
-use strict;
-
-my $z;
-
-while (<DATA>)
- {
- chomp;
- $_ =~ s/#.*$//; # remove comments
- $_ =~ s/\s+$//; # trailing spaces
- next if /^$/; # skip empty lines & comments
- if (s/^&//)
- {
- $f = $_;
- }
- elsif (/^\$/)
- {
- $setup = $_; $setup =~ s/\$/\$${class}::/g; # round_mode, div_scale
- #print "\$setup== $setup\n";
- }
- else
- {
- if (m|^(.*?):(/.+)$|)
- {
- $ans = $2;
- @args = split(/:/,$1,99);
- }
- else
- {
- @args = split(/:/,$_,99); $ans = pop(@args);
- }
- $try = "\$x = $class->new(\"$args[0]\");";
- if ($f eq "fnorm")
- {
- $try .= "\$x;";
- } elsif ($f eq "finf") {
- $try .= "\$x->finf('$args[1]');";
- } elsif ($f eq "is_inf") {
- $try .= "\$x->is_inf('$args[1]');";
- } elsif ($f eq "fone") {
- $try .= "\$x->bone('$args[1]');";
- } elsif ($f eq "fstr") {
- $try .= "\$x->accuracy($args[1]); \$x->precision($args[2]);";
- $try .= '$x->fstr();';
- } elsif ($f eq "parts") {
- # ->bstr() to see if an object is returned
- $try .= '($a,$b) = $x->parts(); $a = $a->bstr(); $b = $b->bstr();';
- $try .= '"$a $b";';
- } elsif ($f eq "exponent") {
- # ->bstr() to see if an object is returned
- $try .= '$x->exponent()->bstr();';
- } elsif ($f eq "mantissa") {
- # ->bstr() to see if an object is returned
- $try .= '$x->mantissa()->bstr();';
- } elsif ($f =~ /^(numify|length|as_number|as_hex|as_bin)$/) {
- $try .= "\$x->$f();";
- # some unary ops (test the fxxx form, since that is done by AUTOLOAD)
- } elsif ($f =~ /^f(nan|sstr|neg|floor|ceil|abs)$/) {
- $try .= "\$x->f$1();";
- # some is_xxx test function
- } elsif ($f =~ /^is_(zero|one|negative|positive|odd|even|nan|int)$/) {
- $try .= "\$x->$f();";
- } elsif ($f eq "finc") {
- $try .= '++$x;';
- } elsif ($f eq "fdec") {
- $try .= '--$x;';
- }elsif ($f eq "fround") {
- $try .= "$setup; \$x->fround($args[1]);";
- } elsif ($f eq "ffround") {
- $try .= "$setup; \$x->ffround($args[1]);";
- } elsif ($f eq "fsqrt") {
- $try .= "$setup; \$x->fsqrt();";
- } elsif ($f eq "ffac") {
- $try .= "$setup; \$x->ffac();";
- } elsif ($f eq "flog") {
- if (defined $args[1] && $args[1] ne '')
- {
- $try .= "\$y = $class->new($args[1]);";
- $try .= "$setup; \$x->flog(\$y);";
- }
- else
- {
- $try .= "$setup; \$x->flog();";
- }
- }
- else
- {
- $try .= "\$y = $class->new(\"$args[1]\");";
-
- if ($f eq "bgcd")
- {
- if (defined $args[2])
- {
- $try .= " \$z = $class->new(\"$args[2]\"); ";
- }
- $try .= "$class\::bgcd(\$x, \$y";
- $try .= ", \$z" if (defined $args[2]);
- $try .= " );";
- }
- elsif ($f eq "blcm")
- {
- if (defined $args[2])
- {
- $try .= " \$z = $class->new(\"$args[2]\"); ";
- }
- $try .= "$class\::blcm(\$x, \$y";
- $try .= ", \$z" if (defined $args[2]);
- $try .= " );";
- } elsif ($f eq "fcmp") {
- $try .= '$x->fcmp($y);';
- } elsif ($f eq "facmp") {
- $try .= '$x->facmp($y);';
- } elsif ($f eq "fpow") {
- $try .= '$x ** $y;';
- } elsif ($f eq "bnok") {
- $try .= '$x->bnok($y);';
- } elsif ($f eq "froot") {
- $try .= "$setup; \$x->froot(\$y);";
- } elsif ($f eq "fadd") {
- $try .= '$x + $y;';
- } elsif ($f eq "fsub") {
- $try .= '$x - $y;';
- } elsif ($f eq "fmul") {
- $try .= '$x * $y;';
- } elsif ($f eq "fdiv") {
- $try .= "$setup; \$x / \$y;";
- } elsif ($f eq "fdiv-list") {
- $try .= "$setup; join(',',\$x->fdiv(\$y));";
- } elsif ($f eq "frsft") {
- $try .= '$x >> $y;';
- } elsif ($f eq "flsft") {
- $try .= '$x << $y;';
- } elsif ($f eq "fmod") {
- $try .= '$x % $y;';
- } else { warn "Unknown op '$f'"; }
- }
- # print "# Trying: '$try'\n";
- $ans1 = eval $try;
- print "# Error: $@\n" if $@;
- if ($ans =~ m|^/(.*)$|)
- {
- my $pat = $1;
- if ($ans1 =~ /$pat/)
- {
- ok (1,1);
- }
- else
- {
- print "# '$try' expected: /$pat/ got: '$ans1'\n" if !ok(1,0);
- }
- }
- else
- {
- if ($ans eq "")
- {
- ok_undef ($ans1);
- }
- else
- {
- print "# Tried: '$try'\n" if !ok ($ans1, $ans);
- if (ref($ans1) eq "$class")
- {
- # float numbers are normalized (for now), so mantissa shouldn't have
- # trailing zeros
- #print $ans1->_trailing_zeros(),"\n";
- print "# Has trailing zeros after '$try'\n"
- if !ok ($CL->_zeros( $ans1->{_m}), 0);
- }
- }
- } # end pattern or string
- }
- } # end while
-
-# check whether $class->new( Math::BigInt->new()) destroys it
-# ($y == 12 in this case)
-$x = Math::BigInt->new(1200); $y = $class->new($x);
-ok ($y,1200); ok ($x,1200);
-
-###############################################################################
-# Really huge, big, ultra-mega-biggy-monster exponents
-# Technically, the exponents should not be limited (they are BigInts), but
-# practically there are a few places were they are limited to a Perl scalar.
-# This is sometimes for speed, sometimes because otherwise the number wouldn't
-# fit into your memory (just think of 1e123456789012345678901234567890 + 1!)
-# anyway. We don't test everything here, but let's make sure it just basically
-# works.
-
-my $monster = '1e1234567890123456789012345678901234567890';
-
-# new and exponent
-ok ($class->new($monster)->bsstr(),
- '1e+1234567890123456789012345678901234567890');
-ok ($class->new($monster)->exponent(),
- '1234567890123456789012345678901234567890');
-# cmp
-ok ($class->new($monster) > 0,1);
-
-# sub/mul
-ok ($class->new($monster)->bsub( $monster),0);
-ok ($class->new($monster)->bmul(2)->bsstr(),
- '2e+1234567890123456789012345678901234567890');
-
-# mantissa
-$monster = '1234567890123456789012345678901234567890e2';
-ok ($class->new($monster)->mantissa(),
- '123456789012345678901234567890123456789');
-
-###############################################################################
-# zero,inf,one,nan
-
-$x = $class->new(2); $x->fzero(); ok_undef ($x->{_a}); ok_undef ($x->{_p});
-$x = $class->new(2); $x->finf(); ok_undef ($x->{_a}); ok_undef ($x->{_p});
-$x = $class->new(2); $x->fone(); ok_undef ($x->{_a}); ok_undef ($x->{_p});
-$x = $class->new(2); $x->fnan(); ok_undef ($x->{_a}); ok_undef ($x->{_p});
-
-###############################################################################
-# bone/binf etc as plain calls (Lite failed them)
-
-ok ($class->fzero(),0);
-ok ($class->fone(),1);
-ok ($class->fone('+'),1);
-ok ($class->fone('-'),-1);
-ok ($class->fnan(),'NaN');
-ok ($class->finf(),'inf');
-ok ($class->finf('+'),'inf');
-ok ($class->finf('-'),'-inf');
-ok ($class->finf('-inf'),'-inf');
-
-$class->accuracy(undef); $class->precision(undef); # reset
-
-###############################################################################
-# bug in bsstr()/numify() showed up in after-rounding in bdiv()
-
-$x = $class->new('0.008'); $y = $class->new(2);
-$x->bdiv(3,$y);
-ok ($x,'0.0027');
-
-###############################################################################
-# fsqrt() with set global A/P or A/P enabled on $x, also a test whether fsqrt()
-# correctly modifies $x
-
-
-$x = $class->new(12); $class->precision(-2); $x->fsqrt(); ok ($x,'3.46');
-
-$class->precision(undef);
-$x = $class->new(12); $class->precision(0); $x->fsqrt(); ok ($x,'3');
-
-$class->precision(-3); $x = $class->new(12); $x->fsqrt(); ok ($x,'3.464');
-
-{
- no strict 'refs';
- # A and P set => NaN
- ${${class}.'::accuracy'} = 4; $x = $class->new(12);
- $x->fsqrt(3); ok ($x,'NaN');
- # supplied arg overrides set global
- $class->precision(undef); $x = $class->new(12); $x->fsqrt(3); ok ($x,'3.46');
- $class->accuracy(undef); $class->precision(undef); # reset for further tests
-}
-
-#############################################################################
-# can we call objectify (broken until v1.52)
-
-{
- no strict;
- $try =
- '@args' . " = $class" . "::objectify(2,$class,4,5);".'join(" ",@args);';
- $ans = eval $try;
- ok ($ans,"$class 4 5");
-}
-
-#############################################################################
-# is_one('-') (broken until v1.64)
-
-ok ($class->new(-1)->is_one(),0);
-ok ($class->new(-1)->is_one('-'),1);
-
-#############################################################################
-# bug 1/0.5 leaving 2e-0 instead of 2e0
-
-ok ($class->new(1)->fdiv('0.5')->bsstr(),'2e+0');
-
-###############################################################################
-# [perl #30609] bug with $x -= $x not being 0, but 2*$x
-
-$x = $class->new(3); $x -= $x; ok ($x, 0);
-$x = $class->new(-3); $x -= $x; ok ($x, 0);
-$x = $class->new(3); $x += $x; ok ($x, 6);
-$x = $class->new(-3); $x += $x; ok ($x, -6);
-
-$x = $class->new('NaN'); $x -= $x; ok ($x->is_nan(), 1);
-$x = $class->new('inf'); $x -= $x; ok ($x->is_nan(), 1);
-$x = $class->new('-inf'); $x -= $x; ok ($x->is_nan(), 1);
-
-$x = $class->new('NaN'); $x += $x; ok ($x->is_nan(), 1);
-$x = $class->new('inf'); $x += $x; ok ($x->is_inf(), 1);
-$x = $class->new('-inf'); $x += $x; ok ($x->is_inf('-'), 1);
-
-$x = $class->new('3.14'); $x -= $x; ok ($x, 0);
-$x = $class->new('-3.14'); $x -= $x; ok ($x, 0);
-$x = $class->new('3.14'); $x += $x; ok ($x, '6.28');
-$x = $class->new('-3.14'); $x += $x; ok ($x, '-6.28');
-
-$x = $class->new('3.14'); $x *= $x; ok ($x, '9.8596');
-$x = $class->new('-3.14'); $x *= $x; ok ($x, '9.8596');
-$x = $class->new('3.14'); $x /= $x; ok ($x, '1');
-$x = $class->new('-3.14'); $x /= $x; ok ($x, '1');
-$x = $class->new('3.14'); $x %= $x; ok ($x, '0');
-$x = $class->new('-3.14'); $x %= $x; ok ($x, '0');
-
-###############################################################################
-# the following two were reported by "kenny" via hotmail.com:
-
-#perl -MMath::BigFloat -wle 'print Math::BigFloat->new(0)->bpow(".1")'
-#Use of uninitialized value in numeric le (<=) at BigFloat.pm line 1851.
-
-$x = $class->new(0); $y = $class->new('0.1');
-ok ($x ** $y, 0, 'no warnings and zero result');
-
-#perl -MMath::BigFloat -lwe 'print Math::BigFloat->new(".222222222222222222222222222222222222222222")->bceil()'
-#Use of uninitialized value in numeric le (<=) at BigFloat.pm line 1851.
-
-$x = $class->new(".222222222222222222222222222222222222222222");
-ok ($x->bceil(), 1, 'no warnings and one as result');
-
-###############################################################################
-# test **=, <<=, >>=
-
-# ((2^148)-1)/17
-$x = $class->new(2); $x **= 148; $x++; $x->bdiv(17, 60)->bfloor(); $x->accuracy(undef);
-ok ($x,"20988936657440586486151264256610222593863921");
-ok ($x->length(),length "20988936657440586486151264256610222593863921");
-
-$x = $class->new('2');
-my $y = $class->new('18');
-ok ($x <<= $y, 2 << 18);
-ok ($x, 2 << 18);
-ok ($x >>= $y, 2);
-ok ($x, 2);
-
-$x = $class->new('2');
-$y = $class->new('18.2');
-$x <<= $y; # 2 * (2 ** 18.2);
-
-ok ($x->copy()->bfround(-9), '602248.763144685');
-ok ($x >>= $y, 2); # 2 * (2 ** 18.2) / (2 ** 18.2) => 2
-ok ($x, 2);
-
-1; # all done
-
-###############################################################################
-# Perl 5.005 does not like ok ($x,undef)
-
-sub ok_undef
- {
- my $x = shift;
-
- ok (1,1) and return if !defined $x;
- ok ($x,'undef');
- }
-
-__DATA__
-&bgcd
-inf:12:NaN
--inf:12:NaN
-12:inf:NaN
-12:-inf:NaN
-inf:inf:NaN
-inf:-inf:NaN
--inf:-inf:NaN
-abc:abc:NaN
-abc:+0:NaN
-+0:abc:NaN
-+0:+0:0
-+0:+1:1
-+1:+0:1
-+1:+1:1
-+2:+3:1
-+3:+2:1
--3:+2:1
--3:-2:1
--144:-60:12
-144:-60:12
-144:60:12
-100:625:25
-4096:81:1
-1034:804:2
-27:90:56:1
-27:90:54:9
-&blcm
-abc:abc:NaN
-abc:+0:NaN
-+0:abc:NaN
-+0:+0:NaN
-+1:+0:0
-+0:+1:0
-+27:+90:270
-+1034:+804:415668
-$div_scale = 40;
-&bnok
-+inf:10:inf
-NaN:NaN:NaN
-NaN:1:NaN
-1:NaN:NaN
-1:1:1
-# k > n
-1:2:0
-2:3:0
-# k < 0
-1:-2:0
-# 7 over 3 = 35
-7:3:35
-7:6:1
-100:90:17310309456440
-&flog
-0::NaN
--1::NaN
--2::NaN
-# base > 0, base != 1
-2:-1:NaN
-2:0:NaN
-2:1:NaN
-# log(1) is always 1, regardless of $base
-1::0
-1:1:0
-1:2:0
-2::0.6931471805599453094172321214581765680755
-2.718281828::0.9999999998311266953289851340574956564911
-$div_scale = 20;
-2.718281828::0.99999999983112669533
-$div_scale = 15;
-123::4.81218435537242
-10::2.30258509299405
-1000::6.90775527898214
-100::4.60517018598809
-2::0.693147180559945
-3.1415::1.14470039286086
-12345::9.42100640177928
-0.001::-6.90775527898214
-# bug until v1.71:
-10:10:1
-100:100:1
-# reset for further tests
-$div_scale = 40;
-1::0
-&frsft
-NaNfrsft:2:NaN
-0:2:0
-1:1:0.5
-2:1:1
-4:1:2
-123:1:61.5
-32:3:4
-&flsft
-NaNflsft:0:NaN
-2:1:4
-4:3:32
-5:3:40
-1:2:4
-0:5:0
-&fnorm
-1:1
--0:0
-fnormNaN:NaN
-+inf:inf
--inf:-inf
-123:123
--123.4567:-123.4567
-# invalid inputs
-1__2:NaN
-1E1__2:NaN
-11__2E2:NaN
-.2E-3.:NaN
-1e3e4:NaN
-# strange, but valid
-.2E2:20
-1.E3:1000
-# some inputs that result in zero
-0e0:0
-+0e0:0
-+0e+0:0
--0e+0:0
-0e-0:0
--0e-0:0
-+0e-0:0
-000:0
-00e2:0
-00e02:0
-000e002:0
-000e1230:0
-00e-3:0
-00e+3:0
-00e-03:0
-00e+03:0
--000:0
--00e2:0
--00e02:0
--000e002:0
--000e1230:0
--00e-3:0
--00e+3:0
--00e-03:0
--00e+03:0
-&as_number
-0:0
-1:1
-1.2:1
-2.345:2
--2:-2
--123.456:-123
--200:-200
-# test for bug in brsft() not handling cases that return 0
-0.000641:0
-0.0006412:0
-0.00064123:0
-0.000641234:0
-0.0006412345:0
-0.00064123456:0
-0.000641234567:0
-0.0006412345678:0
-0.00064123456789:0
-0.1:0
-0.01:0
-0.001:0
-0.0001:0
-0.00001:0
-0.000001:0
-0.0000001:0
-0.00000001:0
-0.000000001:0
-0.0000000001:0
-0.00000000001:0
-0.12345:0
-0.123456:0
-0.1234567:0
-0.12345678:0
-0.123456789:0
-&finf
-1:+:inf
-2:-:-inf
-3:abc:inf
-&as_hex
-+inf:inf
--inf:-inf
-hexNaN:NaN
-0:0x0
-5:0x5
--5:-0x5
-&as_bin
-+inf:inf
--inf:-inf
-hexNaN:NaN
-0:0b0
-5:0b101
--5:-0b101
-&numify
-# uses bsstr() so 5 => 5e+0 to be compatible w/ Perls output
-0:0e+1
-+1:1e+0
-1234:1234e+0
-NaN:NaN
-+inf:inf
--inf:-inf
--5:-5e+0
-100:1e+2
--100:-1e+2
-&fnan
-abc:NaN
-2:NaN
--2:NaN
-0:NaN
-&fone
-2:+:1
--2:-:-1
--2:+:1
-2:-:-1
-0::1
--2::1
-abc::1
-2:abc:1
-&fsstr
-+inf:inf
--inf:-inf
-abcfsstr:NaN
--abcfsstr:NaN
-1234.567:1234567e-3
-123:123e+0
--5:-5e+0
--100:-1e+2
-&fstr
-+inf:::inf
--inf:::-inf
-abcfstr:::NaN
-1234.567:9::1234.56700
-1234.567::-6:1234.567000
-12345:5::12345
-0.001234:6::0.00123400
-0.001234::-8:0.00123400
-0:4::0
-0::-4:0.0000
-&fnorm
-inf:inf
-+inf:inf
--inf:-inf
-+infinity:NaN
-+-inf:NaN
-abc:NaN
- 1 a:NaN
-1bcd2:NaN
-11111b:NaN
-+1z:NaN
--1z:NaN
-0e999:0
-0e-999:0
--0e999:0
--0e-999:0
-0:0
-+0:0
-+00:0
-+0_0_0:0
-000000_0000000_00000:0
--0:0
--0000:0
-+1:1
-+01:1
-+001:1
-+00000100000:100000
-123456789:123456789
--1:-1
--01:-1
--001:-1
--123456789:-123456789
--00000100000:-100000
-123.456a:NaN
-123.456:123.456
-0.01:0.01
-.002:0.002
-+.2:0.2
--0.0003:-0.0003
--.0000000004:-0.0000000004
-123456E2:12345600
-123456E-2:1234.56
--123456E2:-12345600
--123456E-2:-1234.56
-1e1:10
-2e-11:0.00000000002
-# excercise _split
- .02e-1:0.002
- 000001:1
- -00001:-1
- -1:-1
- 000.01:0.01
- -000.0023:-0.0023
- 1.1e1:11
--3e111:-3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
--4e-1111:-0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004
-&fpow
-NaN:1:NaN
-1:NaN:NaN
-NaN:-1:NaN
--1:NaN:NaN
-NaN:-21:NaN
--21:NaN:NaN
-NaN:21:NaN
-21:NaN:NaN
-0:0:1
-0:1:0
-0:9:0
-0:-2:inf
-2:2:4
-1:2:1
-1:3:1
--1:2:1
--1:3:-1
-123.456:2:15241.383936
-2:-2:0.25
-2:-3:0.125
-128:-2:0.00006103515625
-abc:123.456:NaN
-123.456:abc:NaN
-+inf:123.45:inf
--inf:123.45:-inf
-+inf:-123.45:inf
--inf:-123.45:-inf
--2:2:4
--2:3:-8
--2:4:16
--2:5:-32
--3:2:9
--3:3:-27
--3:4:81
--3:5:-243
-# 2 ** 0.5 == sqrt(2)
-# 1.41..7 and not 1.4170 since fallback (bsqrt(9) is '3', not 3.0...0)
-2:0.5:1.41421356237309504880168872420969807857
-#2:0.2:1.148698354997035006798626946777927589444
-#6:1.5:14.6969384566990685891837044482353483518
-$div_scale = 20;
-#62.5:12.5:26447206647554886213592.3959144
-$div_scale = 40;
-&fneg
-fnegNaN:NaN
-+inf:-inf
--inf:inf
-+0:0
-+1:-1
--1:1
-+123456789:-123456789
--123456789:123456789
-+123.456789:-123.456789
--123456.789:123456.789
-&fabs
-fabsNaN:NaN
-+inf:inf
--inf:inf
-+0:0
-+1:1
--1:1
-+123456789:123456789
--123456789:123456789
-+123.456789:123.456789
--123456.789:123456.789
-&fround
-$round_mode = "trunc"
-+inf:5:inf
--inf:5:-inf
-0:5:0
-NaNfround:5:NaN
-+10123456789:5:10123000000
--10123456789:5:-10123000000
-+10123456789.123:5:10123000000
--10123456789.123:5:-10123000000
-+10123456789:9:10123456700
--10123456789:9:-10123456700
-+101234500:6:101234000
--101234500:6:-101234000
-$round_mode = "zero"
-+20123456789:5:20123000000
--20123456789:5:-20123000000
-+20123456789.123:5:20123000000
--20123456789.123:5:-20123000000
-+20123456789:9:20123456800
--20123456789:9:-20123456800
-+201234500:6:201234000
--201234500:6:-201234000
-$round_mode = "+inf"
-+30123456789:5:30123000000
--30123456789:5:-30123000000
-+30123456789.123:5:30123000000
--30123456789.123:5:-30123000000
-+30123456789:9:30123456800
--30123456789:9:-30123456800
-+301234500:6:301235000
--301234500:6:-301234000
-$round_mode = "-inf"
-+40123456789:5:40123000000
--40123456789:5:-40123000000
-+40123456789.123:5:40123000000
--40123456789.123:5:-40123000000
-+40123456789:9:40123456800
--40123456789:9:-40123456800
-+401234500:6:401234000
--401234500:6:-401235000
-$round_mode = "odd"
-+50123456789:5:50123000000
--50123456789:5:-50123000000
-+50123456789.123:5:50123000000
--50123456789.123:5:-50123000000
-+50123456789:9:50123456800
--50123456789:9:-50123456800
-+501234500:6:501235000
--501234500:6:-501235000
-$round_mode = "even"
-+60123456789:5:60123000000
--60123456789:5:-60123000000
-+60123456789:9:60123456800
--60123456789:9:-60123456800
-+601234500:6:601234000
--601234500:6:-601234000
-+60123456789.0123:5:60123000000
--60123456789.0123:5:-60123000000
-$round_mode = "common"
-+60123456789:5:60123000000
--60123456789:5:-60123000000
-+60123456789:6:60123500000
--60123456789:6:-60123500000
-+60123456789:9:60123456800
--60123456789:9:-60123456800
-+601234500:6:601235000
--601234500:6:-601235000
-+601234400:6:601234000
--601234400:6:-601234000
-+601234600:6:601235000
--601234600:6:-601235000
-+601234300:6:601234000
-+60123456789.0123:5:60123000000
--60123456789.0123:5:-60123000000
-&ffround
-$round_mode = "trunc"
-+inf:5:inf
--inf:5:-inf
-0:5:0
-NaNffround:5:NaN
-+1.23:-1:1.2
-+1.234:-1:1.2
-+1.2345:-1:1.2
-+1.23:-2:1.23
-+1.234:-2:1.23
-+1.2345:-2:1.23
-+1.23:-3:1.230
-+1.234:-3:1.234
-+1.2345:-3:1.234
--1.23:-1:-1.2
-+1.27:-1:1.2
--1.27:-1:-1.2
-+1.25:-1:1.2
--1.25:-1:-1.2
-+1.35:-1:1.3
--1.35:-1:-1.3
--0.0061234567890:-1:0.0
--0.0061:-1:0.0
--0.00612:-1:0.0
--0.00612:-2:0.00
--0.006:-1:0.0
--0.006:-2:0.00
--0.0006:-2:0.00
--0.0006:-3:0.000
--0.0065:-3:/-0\.006|-6e-03
--0.0065:-4:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
--0.0065:-5:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
-0.05:0:0
-0.5:0:0
-0.51:0:0
-0.41:0:0
-$round_mode = "zero"
-+2.23:-1:/2.2(?:0{5}\d+)?
--2.23:-1:/-2.2(?:0{5}\d+)?
-+2.27:-1:/2.(?:3|29{5}\d+)
--2.27:-1:/-2.(?:3|29{5}\d+)
-+2.25:-1:/2.2(?:0{5}\d+)?
--2.25:-1:/-2.2(?:0{5}\d+)?
-+2.35:-1:/2.(?:3|29{5}\d+)
--2.35:-1:/-2.(?:3|29{5}\d+)
--0.0065:-1:0.0
--0.0065:-2:/-0\.01|-1e-02
--0.0065:-3:/-0\.006|-6e-03
--0.0065:-4:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
--0.0065:-5:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
-0.05:0:0
-0.5:0:0
-0.51:0:1
-0.41:0:0
-$round_mode = "+inf"
-+3.23:-1:/3.2(?:0{5}\d+)?
--3.23:-1:/-3.2(?:0{5}\d+)?
-+3.27:-1:/3.(?:3|29{5}\d+)
--3.27:-1:/-3.(?:3|29{5}\d+)
-+3.25:-1:/3.(?:3|29{5}\d+)
--3.25:-1:/-3.2(?:0{5}\d+)?
-+3.35:-1:/3.(?:4|39{5}\d+)
--3.35:-1:/-3.(?:3|29{5}\d+)
--0.0065:-1:0.0
--0.0065:-2:/-0\.01|-1e-02
--0.0065:-3:/-0\.006|-6e-03
--0.0065:-4:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
--0.0065:-5:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
-0.05:0:0
-0.5:0:1
-0.51:0:1
-0.41:0:0
-$round_mode = "-inf"
-+4.23:-1:/4.2(?:0{5}\d+)?
--4.23:-1:/-4.2(?:0{5}\d+)?
-+4.27:-1:/4.(?:3|29{5}\d+)
--4.27:-1:/-4.(?:3|29{5}\d+)
-+4.25:-1:/4.2(?:0{5}\d+)?
--4.25:-1:/-4.(?:3|29{5}\d+)
-+4.35:-1:/4.(?:3|29{5}\d+)
--4.35:-1:/-4.(?:4|39{5}\d+)
--0.0065:-1:0.0
--0.0065:-2:/-0\.01|-1e-02
--0.0065:-3:/-0\.007|-7e-03
--0.0065:-4:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
--0.0065:-5:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
-0.05:0:0
-0.5:0:0
-0.51:0:1
-0.41:0:0
-$round_mode = "odd"
-+5.23:-1:/5.2(?:0{5}\d+)?
--5.23:-1:/-5.2(?:0{5}\d+)?
-+5.27:-1:/5.(?:3|29{5}\d+)
--5.27:-1:/-5.(?:3|29{5}\d+)
-+5.25:-1:/5.(?:3|29{5}\d+)
--5.25:-1:/-5.(?:3|29{5}\d+)
-+5.35:-1:/5.(?:3|29{5}\d+)
--5.35:-1:/-5.(?:3|29{5}\d+)
--0.0065:-1:0.0
--0.0065:-2:/-0\.01|-1e-02
--0.0065:-3:/-0\.007|-7e-03
--0.0065:-4:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
--0.0065:-5:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
-0.05:0:0
-0.5:0:1
-0.51:0:1
-0.41:0:0
-$round_mode = "even"
-+6.23:-1:/6.2(?:0{5}\d+)?
--6.23:-1:/-6.2(?:0{5}\d+)?
-+6.27:-1:/6.(?:3|29{5}\d+)
--6.27:-1:/-6.(?:3|29{5}\d+)
-+6.25:-1:/6.(?:2(?:0{5}\d+)?|29{5}\d+)
--6.25:-1:/-6.(?:2(?:0{5}\d+)?|29{5}\d+)
-+6.35:-1:/6.(?:4|39{5}\d+|29{8}\d+)
--6.35:-1:/-6.(?:4|39{5}\d+|29{8}\d+)
--0.0065:-1:0.0
--0.0065:-2:/-0\.01|-1e-02
--0.0065:-3:/-0\.006|-7e-03
--0.0065:-4:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
--0.0065:-5:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
-0.05:0:0
-0.5:0:0
-0.51:0:1
-0.41:0:0
-0.01234567:-3:0.012
-0.01234567:-4:0.0123
-0.01234567:-5:0.01235
-0.01234567:-6:0.012346
-0.01234567:-7:0.0123457
-0.01234567:-8:0.01234567
-0.01234567:-9:0.012345670
-0.01234567:-12:0.012345670000
-&fcmp
-fcmpNaN:fcmpNaN:
-fcmpNaN:+0:
-+0:fcmpNaN:
-+0:+0:0
--1:+0:-1
-+0:-1:1
-+1:+0:1
-+0:+1:-1
--1:+1:-1
-+1:-1:1
--1:-1:0
-+1:+1:0
--1.1:0:-1
-+0:-1.1:1
-+1.1:+0:1
-+0:+1.1:-1
-+123:+123:0
-+123:+12:1
-+12:+123:-1
--123:-123:0
--123:-12:-1
--12:-123:1
-+123:+124:-1
-+124:+123:1
--123:-124:1
--124:-123:-1
-0:0.01:-1
-0:0.0001:-1
-0:-0.0001:1
-0:-0.1:1
-0.1:0:1
-0.00001:0:1
--0.0001:0:-1
--0.1:0:-1
-0:0.0001234:-1
-0:-0.0001234:1
-0.0001234:0:1
--0.0001234:0:-1
-0.0001:0.0005:-1
-0.0005:0.0001:1
-0.005:0.0001:1
-0.001:0.0005:1
-0.000001:0.0005:-1
-0.00000123:0.0005:-1
-0.00512:0.0001:1
-0.005:0.000112:1
-0.00123:0.0005:1
-1.5:2:-1
-2:1.5:1
-1.54321:234:-1
-234:1.54321:1
-# infinity
--inf:5432112345:-1
-+inf:5432112345:1
--inf:-5432112345:-1
-+inf:-5432112345:1
--inf:54321.12345:-1
-+inf:54321.12345:1
--inf:-54321.12345:-1
-+inf:-54321.12345:1
-+inf:+inf:0
--inf:-inf:0
-+inf:-inf:1
--inf:+inf:-1
-# return undef
-+inf:NaN:
-NaN:inf:
--inf:NaN:
-NaN:-inf:
-&facmp
-fcmpNaN:fcmpNaN:
-fcmpNaN:+0:
-+0:fcmpNaN:
-+0:+0:0
--1:+0:1
-+0:-1:-1
-+1:+0:1
-+0:+1:-1
--1:+1:0
-+1:-1:0
--1:-1:0
-+1:+1:0
--1.1:0:1
-+0:-1.1:-1
-+1.1:+0:1
-+0:+1.1:-1
-+123:+123:0
-+123:+12:1
-+12:+123:-1
--123:-123:0
--123:-12:1
--12:-123:-1
-+123:+124:-1
-+124:+123:1
--123:-124:-1
--124:-123:1
-0:0.01:-1
-0:0.0001:-1
-0:-0.0001:-1
-0:-0.1:-1
-0.1:0:1
-0.00001:0:1
--0.0001:0:1
--0.1:0:1
-0:0.0001234:-1
-0:-0.0001234:-1
-0.0001234:0:1
--0.0001234:0:1
-0.0001:0.0005:-1
-0.0005:0.0001:1
-0.005:0.0001:1
-0.001:0.0005:1
-0.000001:0.0005:-1
-0.00000123:0.0005:-1
-0.00512:0.0001:1
-0.005:0.000112:1
-0.00123:0.0005:1
-1.5:2:-1
-2:1.5:1
-1.54321:234:-1
-234:1.54321:1
-# infinity
--inf:5432112345:1
-+inf:5432112345:1
--inf:-5432112345:1
-+inf:-5432112345:1
--inf:54321.12345:1
-+inf:54321.12345:1
--inf:-54321.12345:1
-+inf:-54321.12345:1
-+inf:+inf:0
--inf:-inf:0
-+inf:-inf:0
--inf:+inf:0
-5:inf:-1
--1:inf:-1
-5:-inf:-1
--1:-inf:-1
-# return undef
-+inf:facmpNaN:
-facmpNaN:inf:
--inf:facmpNaN:
-facmpNaN:-inf:
-&fdec
-fdecNaN:NaN
-+inf:inf
--inf:-inf
-+0:-1
-+1:0
--1:-2
-1.23:0.23
--1.23:-2.23
-100:99
-101:100
--100:-101
--99:-100
--98:-99
-99:98
-&finc
-fincNaN:NaN
-+inf:inf
--inf:-inf
-+0:1
-+1:2
--1:0
-1.23:2.23
--1.23:-0.23
-100:101
--100:-99
--99:-98
--101:-100
-99:100
-&fadd
-abc:abc:NaN
-abc:+0:NaN
-+0:abc:NaN
-+inf:-inf:NaN
--inf:+inf:NaN
-+inf:+inf:inf
--inf:-inf:-inf
-baddNaN:+inf:NaN
-baddNaN:+inf:NaN
-+inf:baddNaN:NaN
--inf:baddNaN:NaN
-+0:+0:0
-+1:+0:1
-+0:+1:1
-+1:+1:2
--1:+0:-1
-+0:-1:-1
--1:-1:-2
--1:+1:0
-+1:-1:0
-+9:+1:10
-+99:+1:100
-+999:+1:1000
-+9999:+1:10000
-+99999:+1:100000
-+999999:+1:1000000
-+9999999:+1:10000000
-+99999999:+1:100000000
-+999999999:+1:1000000000
-+9999999999:+1:10000000000
-+99999999999:+1:100000000000
-+10:-1:9
-+100:-1:99
-+1000:-1:999
-+10000:-1:9999
-+100000:-1:99999
-+1000000:-1:999999
-+10000000:-1:9999999
-+100000000:-1:99999999
-+1000000000:-1:999999999
-+10000000000:-1:9999999999
-+123456789:+987654321:1111111110
--123456789:+987654321:864197532
--123456789:-987654321:-1111111110
-+123456789:-987654321:-864197532
-0.001234:0.0001234:0.0013574
-&fsub
-abc:abc:NaN
-abc:+0:NaN
-+0:abc:NaN
-+inf:-inf:inf
--inf:+inf:-inf
-+inf:+inf:NaN
--inf:-inf:NaN
-baddNaN:+inf:NaN
-baddNaN:+inf:NaN
-+inf:baddNaN:NaN
--inf:baddNaN:NaN
-+0:+0:0
-+1:+0:1
-+0:+1:-1
-+1:+1:0
--1:+0:-1
-+0:-1:1
--1:-1:0
--1:+1:-2
-+1:-1:2
-+9:+1:8
-+99:+1:98
-+999:+1:998
-+9999:+1:9998
-+99999:+1:99998
-+999999:+1:999998
-+9999999:+1:9999998
-+99999999:+1:99999998
-+999999999:+1:999999998
-+9999999999:+1:9999999998
-+99999999999:+1:99999999998
-+10:-1:11
-+100:-1:101
-+1000:-1:1001
-+10000:-1:10001
-+100000:-1:100001
-+1000000:-1:1000001
-+10000000:-1:10000001
-+100000000:-1:100000001
-+1000000000:-1:1000000001
-+10000000000:-1:10000000001
-+123456789:+987654321:-864197532
--123456789:+987654321:-1111111110
--123456789:-987654321:864197532
-+123456789:-987654321:1111111110
-&fmul
-abc:abc:NaN
-abc:+0:NaN
-+0:abc:NaN
-+inf:NaNmul:NaN
-+inf:NaNmul:NaN
-NaNmul:+inf:NaN
-NaNmul:-inf:NaN
-+inf:+inf:inf
-+inf:-inf:-inf
-+inf:-inf:-inf
-+inf:+inf:inf
-+inf:123.34:inf
-+inf:-123.34:-inf
--inf:123.34:-inf
--inf:-123.34:inf
-123.34:+inf:inf
--123.34:+inf:-inf
-123.34:-inf:-inf
--123.34:-inf:inf
-+0:+0:0
-+0:+1:0
-+1:+0:0
-+0:-1:0
--1:+0:0
-+123456789123456789:+0:0
-+0:+123456789123456789:0
--1:-1:1
--1:+1:-1
-+1:-1:-1
-+1:+1:1
-+2:+3:6
--2:+3:-6
-+2:-3:-6
--2:-3:6
-+111:+111:12321
-+10101:+10101:102030201
-+1001001:+1001001:1002003002001
-+100010001:+100010001:10002000300020001
-+10000100001:+10000100001:100002000030000200001
-+11111111111:+9:99999999999
-+22222222222:+9:199999999998
-+33333333333:+9:299999999997
-+44444444444:+9:399999999996
-+55555555555:+9:499999999995
-+66666666666:+9:599999999994
-+77777777777:+9:699999999993
-+88888888888:+9:799999999992
-+99999999999:+9:899999999991
-6:120:720
-10:10000:100000
-&fdiv-list
-0:0:NaN,NaN
-0:1:0,0
-9:4:2.25,1
-9:5:1.8,4
-# bug in v1.74 with bdiv in list context, when $y is 1 or -1
-2.1:-1:-2.1,0
-2.1:1:2.1,0
--2.1:-1:2.1,0
--2.1:1:-2.1,0
-&fdiv
-$div_scale = 40; $round_mode = 'even'
-abc:abc:NaN
-abc:+1:abc:NaN
-+1:abc:NaN
--1:abc:NaN
-0:abc:NaN
-+0:+0:NaN
-+0:+1:0
-+1:+0:inf
-+3214:+0:inf
-+0:-1:0
--1:+0:-inf
--3214:+0:-inf
-+1:+1:1
--1:-1:1
-+1:-1:-1
--1:+1:-1
-+1:+2:0.5
-+2:+1:2
-123:+inf:0
-123:-inf:0
-+10:+5:2
-+100:+4:25
-+1000:+8:125
-+10000:+16:625
-+10000:-16:-625
-+999999999999:+9:111111111111
-+999999999999:+99:10101010101
-+999999999999:+999:1001001001
-+999999999999:+9999:100010001
-+999999999999999:+99999:10000100001
-+1000000000:+9:111111111.1111111111111111111111111111111
-+2000000000:+9:222222222.2222222222222222222222222222222
-+3000000000:+9:333333333.3333333333333333333333333333333
-+4000000000:+9:444444444.4444444444444444444444444444444
-+5000000000:+9:555555555.5555555555555555555555555555556
-+6000000000:+9:666666666.6666666666666666666666666666667
-+7000000000:+9:777777777.7777777777777777777777777777778
-+8000000000:+9:888888888.8888888888888888888888888888889
-+9000000000:+9:1000000000
-+35500000:+113:314159.2920353982300884955752212389380531
-+71000000:+226:314159.2920353982300884955752212389380531
-+106500000:+339:314159.2920353982300884955752212389380531
-+1000000000:+3:333333333.3333333333333333333333333333333
-2:25.024996000799840031993601279744051189762:0.07992009269196593320152084692285869265447
-123456:1:123456
-$div_scale = 20
-+1000000000:+9:111111111.11111111111
-+2000000000:+9:222222222.22222222222
-+3000000000:+9:333333333.33333333333
-+4000000000:+9:444444444.44444444444
-+5000000000:+9:555555555.55555555556
-+6000000000:+9:666666666.66666666667
-+7000000000:+9:777777777.77777777778
-+8000000000:+9:888888888.88888888889
-+9000000000:+9:1000000000
-1:10:0.1
-1:100:0.01
-1:1000:0.001
-1:10000:0.0001
-1:504:0.001984126984126984127
-2:1.987654321:1.0062111801179738436
-123456789.123456789123456789123456789:1:123456789.12345678912
-# the next two cases are the "old" behaviour, but are now (>v0.01) different
-#+35500000:+113:314159.292035398230088
-#+71000000:+226:314159.292035398230088
-+35500000:+113:314159.29203539823009
-+71000000:+226:314159.29203539823009
-+106500000:+339:314159.29203539823009
-+1000000000:+3:333333333.33333333333
-$div_scale = 1
-# round to accuracy 1 after bdiv
-+124:+3:40
-123456789.1234:1:100000000
-# reset scale for further tests
-$div_scale = 40
-&fmod
-+9:4:1
-+9:5:4
-+9000:56:40
-+56:9000:56
-# inf handling, see table in doc
-0:inf:0
-0:-inf:0
-5:inf:5
-5:-inf:5
--5:inf:-5
--5:-inf:-5
-inf:5:0
--inf:5:0
-inf:-5:0
--inf:-5:0
-5:5:0
--5:-5:0
-inf:inf:NaN
--inf:-inf:NaN
--inf:inf:NaN
-inf:-inf:NaN
-8:0:8
-inf:0:inf
-# exceptions to reminder rule
--inf:0:-inf
--8:0:-8
-0:0:NaN
-abc:abc:NaN
-abc:1:abc:NaN
-1:abc:NaN
-0:0:NaN
-0:1:0
-1:0:1
-0:-1:0
--1:0:-1
-1:1:0
--1:-1:0
-1:-1:0
--1:1:0
-1:2:1
-2:1:0
-1000000000:9:1
-2000000000:9:2
-3000000000:9:3
-4000000000:9:4
-5000000000:9:5
-6000000000:9:6
-7000000000:9:7
-8000000000:9:8
-9000000000:9:0
-35500000:113:33
-71000000:226:66
-106500000:339:99
-1000000000:3:1
-10:5:0
-100:4:0
-1000:8:0
-10000:16:0
-999999999999:9:0
-999999999999:99:0
-999999999999:999:0
-999999999999:9999:0
-999999999999999:99999:0
--9:+5:1
-+9:-5:-1
--9:-5:-4
--5:3:1
--2:3:1
-4:3:1
-1:3:1
--5:-3:-2
--2:-3:-2
-4:-3:-2
-1:-3:-2
-4095:4095:0
-100041000510123:3:0
-152403346:12345:4321
-87654321:87654321:0
-# now some floating point tests
-123:2.5:0.5
-1230:2.5:0
-123.4:2.5:0.9
-123e1:25:5
--2.1:1:0.9
-2.1:1:0.1
--2.1:-1:-0.1
-2.1:-1:-0.9
--3:1:0
-3:1:0
--3:-1:0
-3:-1:0
-&ffac
-Nanfac:NaN
--1:NaN
-+inf:inf
--inf:NaN
-0:1
-1:1
-2:2
-3:6
-4:24
-5:120
-6:720
-10:3628800
-11:39916800
-12:479001600
-&froot
-# sqrt()
-+0:2:0
-+1:2:1
--1:2:NaN
-# -$x ** (1/2) => -$y, but not in froot()
--123.456:2:NaN
-+inf:2:inf
--inf:2:NaN
-2:2:1.41421356237309504880168872420969807857
--2:2:NaN
-4:2:2
-9:2:3
-16:2:4
-100:2:10
-123.456:2:11.11107555549866648462149404118219234119
-15241.38393:2:123.4559999756998444766131352122991626468
-1.44:2:1.2
-12:2:3.464101615137754587054892683011744733886
-0.49:2:0.7
-0.0049:2:0.07
-# invalid ones
-1:NaN:NaN
--1:NaN:NaN
-0:NaN:NaN
--inf:NaN:NaN
-+inf:NaN:NaN
-NaN:0:NaN
-NaN:2:NaN
-NaN:inf:NaN
-NaN:inf:NaN
-12:-inf:NaN
-12:inf:NaN
-+0:0:NaN
-+1:0:NaN
--1:0:NaN
--2:0:NaN
--123.45:0:NaN
-+inf:0:NaN
-12:1:12
--12:1:NaN
-8:-1:NaN
--8:-1:NaN
-# cubic root
-8:3:2
--8:3:NaN
-# fourths root
-16:4:2
-81:4:3
-# see t/bigroot() for more tests
-&fsqrt
-+0:0
--1:NaN
--2:NaN
--16:NaN
--123.45:NaN
-nanfsqrt:NaN
-+inf:inf
--inf:NaN
-1:1
-2:1.41421356237309504880168872420969807857
-4:2
-9:3
-16:4
-100:10
-123.456:11.11107555549866648462149404118219234119
-15241.38393:123.4559999756998444766131352122991626468
-1.44:1.2
-# sqrt(1.44) = 1.2, sqrt(e10) = e5 => 12e4
-1.44E10:120000
-2e10:141421.356237309504880168872420969807857
-144e20:120000000000
-# proved to be an endless loop under 7-9
-12:3.464101615137754587054892683011744733886
-0.49:0.7
-0.0049:0.07
-&is_nan
-123:0
-abc:1
-NaN:1
--123:0
-&is_inf
-+inf::1
--inf::1
-abc::0
-1::0
-NaN::0
--1::0
-+inf:-:0
-+inf:+:1
--inf:-:1
--inf:+:0
-# it must be exactly /^[+-]inf$/
-+infinity::0
--infinity::0
-&is_odd
-abc:0
-0:0
--1:1
--3:1
-1:1
-3:1
-1000001:1
-1000002:0
-+inf:0
--inf:0
-123.45:0
--123.45:0
-2:0
-&is_int
-NaNis_int:0
-0:1
-1:1
-2:1
--2:1
--1:1
--inf:0
-+inf:0
-123.4567:0
--0.1:0
--0.002:0
-&is_even
-abc:0
-0:1
--1:0
--3:0
-1:0
-3:0
-1000001:0
-1000002:1
-2:1
-+inf:0
--inf:0
-123.456:0
--123.456:0
-0.01:0
--0.01:0
-120:1
-1200:1
--1200:1
-&is_positive
-0:0
-1:1
--1:0
--123:0
-NaN:0
--inf:0
-+inf:1
-&is_negative
-0:0
-1:0
--1:1
--123:1
-NaN:0
--inf:1
-+inf:0
-&parts
-0:0 1
-1:1 0
-123:123 0
--123:-123 0
--1200:-12 2
-NaNparts:NaN NaN
-+inf:inf inf
--inf:-inf inf
-&exponent
-0:1
-1:0
-123:0
--123:0
--1200:2
-+inf:inf
--inf:inf
-NaNexponent:NaN
-&mantissa
-0:0
-1:1
-123:123
--123:-123
--1200:-12
-+inf:inf
--inf:-inf
-NaNmantissa:NaN
-&length
-123:3
--123:3
-0:1
-1:1
-12345678901234567890:20
-&is_zero
-NaNzero:0
-+inf:0
--inf:0
-0:1
--1:0
-1:0
-&is_one
-NaNone:0
-+inf:0
--inf:0
-0:0
-2:0
-1:1
--1:0
--2:0
-&ffloor
-0:0
-abc:NaN
-+inf:inf
--inf:-inf
-1:1
--51:-51
--51.2:-52
-12.2:12
-0.12345:0
-0.123456:0
-0.1234567:0
-0.12345678:0
-0.123456789:0
-&fceil
-0:0
-abc:NaN
-+inf:inf
--inf:-inf
-1:1
--51:-51
--51.2:-51
-12.2:13
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