'+' => sub {new Math::BigFloat &fadd},
'-' => sub {new Math::BigFloat
$_[2]? fsub($_[1],${$_[0]}) : fsub(${$_[0]},$_[1])},
-'<=>' => sub {new Math::BigFloat
- $_[2]? fcmp($_[1],${$_[0]}) : fcmp(${$_[0]},$_[1])},
-'cmp' => sub {new Math::BigFloat
- $_[2]? ($_[1] cmp ${$_[0]}) : (${$_[0]} cmp $_[1])},
+'<=>' => sub {$_[2]? fcmp($_[1],${$_[0]}) : fcmp(${$_[0]},$_[1])},
+'cmp' => sub {$_[2]? ($_[1] cmp ${$_[0]}) : (${$_[0]} cmp $_[1])},
'*' => sub {new Math::BigFloat &fmul},
'/' => sub {new Math::BigFloat
$_[2]? scalar fdiv($_[1],${$_[0]}) :
$scale = length($xm)-1 if (length($xm)-1 > $scale);
$scale = length($ym)-1 if (length($ym)-1 > $scale);
$scale = $scale + length($ym) - length($xm);
- &norm(&round(Math::BigInt::bdiv($xm.('0' x $scale),$ym),$ym),
+ &norm(&round(Math::BigInt::bdiv($xm.('0' x $scale),$ym),
+ Math::BigInt::babs($ym)),
$xe-$ye-$scale);
}
}
if ($xe < 1) {
'+0E+0';
} elsif ($xe == 1) {
- &norm(&round('+0',"+0".substr($xm,$[+1,1),"+10"), $scale);
+ # The first substr preserves the sign, passing a non-
+ # normalized "-0" to &round when rounding -0.006 (for
+ # example), purely so &round won't lose the sign.
+ &norm(&round(substr($xm,$[,1).'0',
+ "+0".substr($xm,$[+1,1),"+10"), $scale);
} else {
&norm(&round(substr($xm,$[,$xe),
"+0".substr($xm,$[+$xe,1),"+10"), $scale);
=item Division is computed to
-C<max($div_scale,length(dividend)+length(divisor))> digits by default.
+C<max($Math::BigFloat::div_scale,length(dividend)+length(divisor))>
+digits by default.
Also used for default sqrt scale.
+=item Rounding is performed
+
+according to the value of
+C<$Math::BigFloat::rnd_mode>:
+
+ trunc truncate the value
+ zero round towards 0
+ +inf round towards +infinity (round up)
+ -inf round towards -infinity (round down)
+ even round to the nearest, .5 to the even digit
+ odd round to the nearest, .5 to the odd digit
+
+The default is C<even> rounding.
+
=back
=head1 BUGS
The current version of this module is a preliminary version of the
real thing that is currently (as of perl5.002) under development.
+The printf subroutine does not use the value of
+C<$Math::BigFloat::rnd_mode> when rounding values for printing.
+Consequently, the way to print rounded values is
+to specify the number of digits both as an
+argument to C<ffround> and in the C<%f> printf string,
+as follows:
+
+ printf "%.3f\n", $bigfloat->ffround(-3);
+
=head1 AUTHOR
Mark Biggar
'+' => sub {new Math::BigInt &badd},
'-' => sub {new Math::BigInt
$_[2]? bsub($_[1],${$_[0]}) : bsub(${$_[0]},$_[1])},
-'<=>' => sub {new Math::BigInt
- $_[2]? bcmp($_[1],${$_[0]}) : bcmp(${$_[0]},$_[1])},
-'cmp' => sub {new Math::BigInt
- $_[2]? ($_[1] cmp ${$_[0]}) : (${$_[0]} cmp $_[1])},
+'<=>' => sub {$_[2]? bcmp($_[1],${$_[0]}) : bcmp(${$_[0]},$_[1])},
+'cmp' => sub {$_[2]? ($_[1] cmp ${$_[0]}) : (${$_[0]} cmp $_[1])},
'*' => sub {new Math::BigInt &bmul},
'/' => sub {new Math::BigInt
$_[2]? scalar bdiv($_[1],${$_[0]}) :
else {
push(@x, 0);
}
- @q = (); ($v2,$v1) = ($y[-2] || 0, $y[-1]);
+ @q = (); ($v2,$v1) = @y[-2,-1];
while ($#x > $#y) {
- ($u2,$u1,$u0) = ($x[-3] || 0, $x[-2] || 0, $x[-1]);
+ ($u2,$u1,$u0) = @x[-3..-1];
$q = (($u0 == $v1) ? 99999 : int(($u0*1e5+$u1)/$v1));
--$q while ($v2*$q > ($u0*1e5+$u1-$q*$v1)*1e5+$u2);
if ($q) {
#
# number format
# canonical strings have the form /[+-]\d+E[+-]\d+/
-# Input values can have inbedded whitespace
+# Input values can have embedded whitespace
# Error returns
# 'NaN' An input parameter was "Not a Number" or
# divide by zero or sqrt of negative number
$scale = length($xm)-1 if (length($xm)-1 > $scale);
$scale = length($ym)-1 if (length($ym)-1 > $scale);
$scale = $scale + length($ym) - length($xm);
- &norm(&round(&'bdiv($xm.('0' x $scale),$ym),$ym),
+ &norm(&round(&'bdiv($xm.('0' x $scale),$ym),&'babs($ym)),
$xe-$ye-$scale);
}
}
if ($xe < 1) {
'+0E+0';
} elsif ($xe == 1) {
- &norm(&round('+0',"+0".substr($xm,$[+1,1),"+10"), $scale);
+ # The first substr preserves the sign, which means that
+ # we'll pass a non-normalized "-0" to &round when rounding
+ # -0.006 (for example), purely so that &round won't lose
+ # the sign.
+ &norm(&round(substr($xm,$[,1).'0',
+ "+0".substr($xm,$[+1,1),"+10"), $scale);
} else {
&norm(&round(substr($xm,$[,$xe),
"+0".substr($xm,$[+$xe,1),"+10"), $scale);
--- /dev/null
+#!./perl
+
+BEGIN { @INC = '../lib' }
+require "bigfloat.pl";
+
+$test = 0;
+$| = 1;
+print "1..355\n";
+while (<DATA>) {
+ chop;
+ if (/^&/) {
+ $f = $_;
+ } elsif (/^\$.*/) {
+ eval "$_;";
+ } else {
+ ++$test;
+ @args = split(/:/,$_,99);
+ $ans = pop(@args);
+ $try = "$f('" . join("','", @args) . "');";
+ if (($ans1 = eval($try)) eq $ans) {
+ print "ok $test\n";
+ } else {
+ print "not ok $test\n";
+ print "# '$try' expected: '$ans' got: '$ans1'\n";
+ }
+ }
+}
+__END__
+&fnorm
+abc:NaN
+ 1 a:NaN
+1bcd2:NaN
+11111b:NaN
++1z:NaN
+-1z:NaN
+0:+0E+0
++0:+0E+0
++00:+0E+0
++0 0 0:+0E+0
+000000 0000000 00000:+0E+0
+-0:+0E+0
+-0000:+0E+0
++1:+1E+0
++01:+1E+0
++001:+1E+0
++00000100000:+1E+5
+123456789:+123456789E+0
+-1:-1E+0
+-01:-1E+0
+-001:-1E+0
+-123456789:-123456789E+0
+-00000100000:-1E+5
+123.456a:NaN
+123.456:+123456E-3
+0.01:+1E-2
+.002:+2E-3
+-0.0003:-3E-4
+-.0000000004:-4E-10
+123456E2:+123456E+2
+123456E-2:+123456E-2
+-123456E2:-123456E+2
+-123456E-2:-123456E-2
+1e1:+1E+1
+2e-11:+2E-11
+-3e111:-3E+111
+-4e-1111:-4E-1111
+&fneg
+abd:NaN
++0:+0E+0
++1:-1E+0
+-1:+1E+0
++123456789:-123456789E+0
+-123456789:+123456789E+0
++123.456789:-123456789E-6
+-123456.789:+123456789E-3
+&fabs
+abc:NaN
++0:+0E+0
++1:+1E+0
+-1:+1E+0
++123456789:+123456789E+0
+-123456789:+123456789E+0
++123.456789:+123456789E-6
+-123456.789:+123456789E-3
+&fround
+$bigfloat::rnd_mode = 'trunc'
++10123456789:5:+10123E+6
+-10123456789:5:-10123E+6
++10123456789:9:+101234567E+2
+-10123456789:9:-101234567E+2
++101234500:6:+101234E+3
+-101234500:6:-101234E+3
+$bigfloat::rnd_mode = 'zero'
++20123456789:5:+20123E+6
+-20123456789:5:-20123E+6
++20123456789:9:+201234568E+2
+-20123456789:9:-201234568E+2
++201234500:6:+201234E+3
+-201234500:6:-201234E+3
+$bigfloat::rnd_mode = '+inf'
++30123456789:5:+30123E+6
+-30123456789:5:-30123E+6
++30123456789:9:+301234568E+2
+-30123456789:9:-301234568E+2
++301234500:6:+301235E+3
+-301234500:6:-301234E+3
+$bigfloat::rnd_mode = '-inf'
++40123456789:5:+40123E+6
+-40123456789:5:-40123E+6
++40123456789:9:+401234568E+2
+-40123456789:9:-401234568E+2
++401234500:6:+401234E+3
+-401234500:6:-401235E+3
+$bigfloat::rnd_mode = 'odd'
++50123456789:5:+50123E+6
+-50123456789:5:-50123E+6
++50123456789:9:+501234568E+2
+-50123456789:9:-501234568E+2
++501234500:6:+501235E+3
+-501234500:6:-501235E+3
+$bigfloat::rnd_mode = 'even'
++60123456789:5:+60123E+6
+-60123456789:5:-60123E+6
++60123456789:9:+601234568E+2
+-60123456789:9:-601234568E+2
++601234500:6:+601234E+3
+-601234500:6:-601234E+3
+&ffround
+$bigfloat::rnd_mode = 'trunc'
++1.23:-1:+12E-1
+-1.23:-1:-12E-1
++1.27:-1:+12E-1
+-1.27:-1:-12E-1
++1.25:-1:+12E-1
+-1.25:-1:-12E-1
++1.35:-1:+13E-1
+-1.35:-1:-13E-1
+-0.006:-1:+0E+0
+-0.006:-2:+0E+0
+$bigfloat::rnd_mode = 'zero'
++2.23:-1:+22E-1
+-2.23:-1:-22E-1
++2.27:-1:+23E-1
+-2.27:-1:-23E-1
++2.25:-1:+22E-1
+-2.25:-1:-22E-1
++2.35:-1:+23E-1
+-2.35:-1:-23E-1
+-0.0065:-1:+0E+0
+-0.0065:-2:-1E-2
+-0.0065:-3:-6E-3
+-0.0065:-4:-65E-4
+-0.0065:-5:-65E-4
+$bigfloat::rnd_mode = '+inf'
++3.23:-1:+32E-1
+-3.23:-1:-32E-1
++3.27:-1:+33E-1
+-3.27:-1:-33E-1
++3.25:-1:+33E-1
+-3.25:-1:-32E-1
++3.35:-1:+34E-1
+-3.35:-1:-33E-1
+-0.0065:-1:+0E+0
+-0.0065:-2:-1E-2
+-0.0065:-3:-6E-3
+-0.0065:-4:-65E-4
+-0.0065:-5:-65E-4
+$bigfloat::rnd_mode = '-inf'
++4.23:-1:+42E-1
+-4.23:-1:-42E-1
++4.27:-1:+43E-1
+-4.27:-1:-43E-1
++4.25:-1:+42E-1
+-4.25:-1:-43E-1
++4.35:-1:+43E-1
+-4.35:-1:-44E-1
+-0.0065:-1:+0E+0
+-0.0065:-2:-1E-2
+-0.0065:-3:-7E-3
+-0.0065:-4:-65E-4
+-0.0065:-5:-65E-4
+$bigfloat::rnd_mode = 'odd'
++5.23:-1:+52E-1
+-5.23:-1:-52E-1
++5.27:-1:+53E-1
+-5.27:-1:-53E-1
++5.25:-1:+53E-1
+-5.25:-1:-53E-1
++5.35:-1:+53E-1
+-5.35:-1:-53E-1
+-0.0065:-1:+0E+0
+-0.0065:-2:-1E-2
+-0.0065:-3:-7E-3
+-0.0065:-4:-65E-4
+-0.0065:-5:-65E-4
+$bigfloat::rnd_mode = 'even'
++6.23:-1:+62E-1
+-6.23:-1:-62E-1
++6.27:-1:+63E-1
+-6.27:-1:-63E-1
++6.25:-1:+62E-1
+-6.25:-1:-62E-1
++6.35:-1:+64E-1
+-6.35:-1:-64E-1
+-0.0065:-1:+0E+0
+-0.0065:-2:-1E-2
+-0.0065:-3:-6E-3
+-0.0065:-4:-65E-4
+-0.0065:-5:-65E-4
+&fcmp
+abc:abc:
+abc:+0:
++0:abc:
++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
++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
+&fadd
+abc:abc:NaN
+abc:+0:NaN
++0:abc:NaN
++0:+0:+0E+0
++1:+0:+1E+0
++0:+1:+1E+0
++1:+1:+2E+0
+-1:+0:-1E+0
++0:-1:-1E+0
+-1:-1:-2E+0
+-1:+1:+0E+0
++1:-1:+0E+0
++9:+1:+1E+1
++99:+1:+1E+2
++999:+1:+1E+3
++9999:+1:+1E+4
++99999:+1:+1E+5
++999999:+1:+1E+6
++9999999:+1:+1E+7
++99999999:+1:+1E+8
++999999999:+1:+1E+9
++9999999999:+1:+1E+10
++99999999999:+1:+1E+11
++10:-1:+9E+0
++100:-1:+99E+0
++1000:-1:+999E+0
++10000:-1:+9999E+0
++100000:-1:+99999E+0
++1000000:-1:+999999E+0
++10000000:-1:+9999999E+0
++100000000:-1:+99999999E+0
++1000000000:-1:+999999999E+0
++10000000000:-1:+9999999999E+0
++123456789:+987654321:+111111111E+1
+-123456789:+987654321:+864197532E+0
+-123456789:-987654321:-111111111E+1
++123456789:-987654321:-864197532E+0
+&fsub
+abc:abc:NaN
+abc:+0:NaN
++0:abc:NaN
++0:+0:+0E+0
++1:+0:+1E+0
++0:+1:-1E+0
++1:+1:+0E+0
+-1:+0:-1E+0
++0:-1:+1E+0
+-1:-1:+0E+0
+-1:+1:-2E+0
++1:-1:+2E+0
++9:+1:+8E+0
++99:+1:+98E+0
++999:+1:+998E+0
++9999:+1:+9998E+0
++99999:+1:+99998E+0
++999999:+1:+999998E+0
++9999999:+1:+9999998E+0
++99999999:+1:+99999998E+0
++999999999:+1:+999999998E+0
++9999999999:+1:+9999999998E+0
++99999999999:+1:+99999999998E+0
++10:-1:+11E+0
++100:-1:+101E+0
++1000:-1:+1001E+0
++10000:-1:+10001E+0
++100000:-1:+100001E+0
++1000000:-1:+1000001E+0
++10000000:-1:+10000001E+0
++100000000:-1:+100000001E+0
++1000000000:-1:+1000000001E+0
++10000000000:-1:+10000000001E+0
++123456789:+987654321:-864197532E+0
+-123456789:+987654321:-111111111E+1
+-123456789:-987654321:+864197532E+0
++123456789:-987654321:+111111111E+1
+&fmul
+abc:abc:NaN
+abc:+0:NaN
++0:abc:NaN
++0:+0:+0E+0
++0:+1:+0E+0
++1:+0:+0E+0
++0:-1:+0E+0
+-1:+0:+0E+0
++123456789123456789:+0:+0E+0
++0:+123456789123456789:+0E+0
+-1:-1:+1E+0
+-1:+1:-1E+0
++1:-1:-1E+0
++1:+1:+1E+0
++2:+3:+6E+0
+-2:+3:-6E+0
++2:-3:-6E+0
+-2:-3:+6E+0
++111:+111:+12321E+0
++10101:+10101:+102030201E+0
++1001001:+1001001:+1002003002001E+0
++100010001:+100010001:+10002000300020001E+0
++10000100001:+10000100001:+100002000030000200001E+0
++11111111111:+9:+99999999999E+0
++22222222222:+9:+199999999998E+0
++33333333333:+9:+299999999997E+0
++44444444444:+9:+399999999996E+0
++55555555555:+9:+499999999995E+0
++66666666666:+9:+599999999994E+0
++77777777777:+9:+699999999993E+0
++88888888888:+9:+799999999992E+0
++99999999999:+9:+899999999991E+0
+&fdiv
+abc:abc:NaN
+abc:+1:abc:NaN
++1:abc:NaN
++0:+0:NaN
++0:+1:+0E+0
++1:+0:NaN
++0:-1:+0E+0
+-1:+0:NaN
++1:+1:+1E+0
+-1:-1:+1E+0
++1:-1:-1E+0
+-1:+1:-1E+0
++1:+2:+5E-1
++2:+1:+2E+0
++10:+5:+2E+0
++100:+4:+25E+0
++1000:+8:+125E+0
++10000:+16:+625E+0
++10000:-16:-625E+0
++999999999999:+9:+111111111111E+0
++999999999999:+99:+10101010101E+0
++999999999999:+999:+1001001001E+0
++999999999999:+9999:+100010001E+0
++999999999999999:+99999:+10000100001E+0
++1000000000:+9:+1111111111111111111111111111111111111111E-31
++2000000000:+9:+2222222222222222222222222222222222222222E-31
++3000000000:+9:+3333333333333333333333333333333333333333E-31
++4000000000:+9:+4444444444444444444444444444444444444444E-31
++5000000000:+9:+5555555555555555555555555555555555555556E-31
++6000000000:+9:+6666666666666666666666666666666666666667E-31
++7000000000:+9:+7777777777777777777777777777777777777778E-31
++8000000000:+9:+8888888888888888888888888888888888888889E-31
++9000000000:+9:+1E+9
++35500000:+113:+3141592920353982300884955752212389380531E-34
++71000000:+226:+3141592920353982300884955752212389380531E-34
++106500000:+339:+3141592920353982300884955752212389380531E-34
++1000000000:+3:+3333333333333333333333333333333333333333E-31
+$bigfloat::div_scale = 20
++1000000000:+9:+11111111111111111111E-11
++2000000000:+9:+22222222222222222222E-11
++3000000000:+9:+33333333333333333333E-11
++4000000000:+9:+44444444444444444444E-11
++5000000000:+9:+55555555555555555556E-11
++6000000000:+9:+66666666666666666667E-11
++7000000000:+9:+77777777777777777778E-11
++8000000000:+9:+88888888888888888889E-11
++9000000000:+9:+1E+9
++35500000:+113:+314159292035398230088E-15
++71000000:+226:+314159292035398230088E-15
++106500000:+339:+31415929203539823009E-14
++1000000000:+3:+33333333333333333333E-11
+$bigfloat::div_scale = 40
+&fsqrt
++0:+0E+0
+-1:NaN
+-2:NaN
+-16:NaN
+-123.456:NaN
++1:+1E+0
++1.44:+12E-1
++2:+141421356237309504880168872420969807857E-38
++4:+2E+0
++16:+4E+0
++100:+1E+1
++123.456:+1111107555549866648462149404118219234119E-38
++15241.383936:+123456E-3
--- /dev/null
+#!./perl
+
+BEGIN {
+ chdir 't' if -d 't';
+ @INC = '../lib';
+}
+
+use Math::BigFloat;
+
+$test = 0;
+$| = 1;
+print "1..358\n";
+while (<DATA>) {
+ chop;
+ if (s/^&//) {
+ $f = $_;
+ } elsif (/^\$.*/) {
+ eval "$_;";
+ } else {
+ ++$test;
+ @args = split(/:/,$_,99);
+ $ans = pop(@args);
+ $try = "\$x = new Math::BigFloat \"$args[0]\";";
+ if ($f eq "fnorm"){
+ $try .= "\$x+0;";
+ } elsif ($f eq "fneg") {
+ $try .= "-\$x;";
+ } elsif ($f eq "fabs") {
+ $try .= "abs \$x;";
+ } elsif ($f eq "fround") {
+ $try .= "0+\$x->fround($args[1]);";
+ } elsif ($f eq "ffround") {
+ $try .= "0+\$x->ffround($args[1]);";
+ } elsif ($f eq "fsqrt") {
+ $try .= "0+\$x->fsqrt;";
+ } else {
+ $try .= "\$y = new Math::BigFloat \"$args[1]\";";
+ if ($f eq fcmp){
+ $try .= "\$x <=> \$y;";
+ }elsif ($f eq fadd){
+ $try .= "\$x + \$y;";
+ }elsif ($f eq fsub){
+ $try .= "\$x - \$y;";
+ }elsif ($f eq fmul){
+ $try .= "\$x * \$y;";
+ }elsif ($f eq fdiv){
+ $try .= "\$x / \$y;";
+ } else { warn "Unknown op"; }
+ }
+ #print ">>>",$try,"<<<\n";
+ $ans1 = eval $try;
+ if ("$ans1" eq $ans) { #bug!
+ print "ok $test\n";
+ } else {
+ print "not ok $test\n";
+ print "# '$try' expected: '$ans' got: '$ans1'\n";
+ }
+ }
+}
+__END__
+&fnorm
+abc:
+ 1 a:
+1bcd2:
+11111b:
++1z:
+-1z:
+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:
+123.456:123.456
+0.01:.01
+.002:.002
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abc:abc:NaN
abc:+0:NaN
projects / p5sagit/p5-mst-13.2.git / commitdiff