NAME
Math::Decimal64 - (alpha) perl interface to C's _Decimal64 operations.
DEPENDENCIES
In order to compile this module, a C compiler that provides
the _Decimal64 type is needed.
DESCRIPTION
Note that this module is alpha software. It seems to work ok
for me on MS Windows (compiling with gcc-4.6.3, gcc-4.7.0)
but, at time of release, is untested elsewhere.
Math::Decimal64 supports up to 16 decimal digits of significand
(mantissa) and an exponent range of -383 to +384.
The smallest expressable value is -9.999999999999999e384 (which
is also equivalent to -9999999999999999e369).
The largest expressable value is 9.999999999999999e384 (which
also equivalent to 9999999999999999e369).
The closest we can get to zero is (plus or minus) 1e-383
(which is also equivalent to 1000000000000000e-398).
This module allows decimal floating point arithmetic via
operator overloading - see "OVERLOADING".
In the documentation that follows, "$mantissa" is a perl scalar
holding a string of up to 16 decimal digits:
$mantissa = '1234';
$mantissa = '1234567890123456';
For many values, it normally shouldn't matter if $mantissa is
assigned as a number:
$mantissa = 1234; # should work ok.
But on some perls there are values that *need* to be assigned
as a string. For example, on perls where nvtype is an 8 byte
'double':
$mantissa = '-9307199254740993'; # works fine
$mantissa = -9307199254740993; # will assign wrong value
So ... where you see "$mantissa" in the following docs, think
"*string* of up to 16 decimal digits".
SYNOPSIS
use Math::Decimal64 qw(:all);
my $d64_1 = MEtoD64('9927', -2); # the decimal 99.27
my $d64_2 = MEtoD64('3', 0); # the decimal 3.0
$d64_1 /= $d64_2;
print $d64_1; # prints 3309e-2 (33.09)
OVERLOADING
The following operations are overloaded:
+ - * /
+= -= *= /=
!= == <= >= <=> < >
++ --
=
abs bool int print
Arguments to the overloaded operations must be Math::Decimal64
objects.
$d64_2 = $d64_1 + 3.0; # currently an error. Do either:
$d64_2 = $d64_1 + MEtoD64('3',0); # or:
$d64_2 = $d64_1 + Math::Decimal64->new('3',0);
ASSIGNMENT FUNCTIONS
The following create and assign a new Math::Decimal64 object.
# Assign from mantissa and exponent
$d64 = MEtoD64($mantissa, $exponent);
eg: $d64 = MEtoD64('12345', -3); # 12.345
Doing Math::Decimal64->new($mantissa, $exponent) will also
create and assign using MEtoD64().
# Assign from a UV (unsigned integer)
$d64 = UVtoD64($uv);
eg: $d64 = UVtoD64(~0);
Doing Math::Decimal64->new($uv) will also create and assign
using UVtoD64().
# Assign from an IV (signed integer)
$d64 = IVtoD64($iv);
eg: $d64 = IVtoD64(-15); # -15.0
Doing Math::Decimal64->new($iv) will also create and assign
using IVtoD64().
# Assign from an NV (real))
$d64 = NVtoD64($nv);
eg: $d64 = NVtoD64(-3.25);
Doing Math::Decimal64->new($nv) will also create and assign
using NVtoD64().
Not recommended - especially on perls where nvtype is a
double.
# Assign from a string
$d64 = PVtoD64($string);
eg: $d64 = PVtoD64('-9427199254740993');
$d64 = PVtoD64('-9307199254740993e-15');
$d64 = Math::Decimal64->new('-9787199254740993');
$d64 = Math::Decimal64->new('-9307199254740993e-23');
Doing Math::Decimal64->new($string) will also create and
assign using PVtoD64().
# Assign from an existing Math::Decimal64 object
$d64 = D64toD64($d64_0);
Also:
$d64 = Math::Decimal64->new($d64_0);
$d64 = $d64_0; # uses overloaded '='
# Assign using new():
$d64 = Math::Decimal64->new([$arg1, [$arg2]]);
This function calls one of the above functions. It
determines the appropriate function to call by examining
the argument(s) provided.
If no argument is provided, a Math::Decimal64 object
with a value of NaN is returned.
If 2 arguments are supplied it uses MEtoD64().
If one argument is provided, that arg's flags are used
to determine the appropriate function to call.
$d64 = STRtoD64($string);
If your C compiler provides the strtod64 function, and
you configured the Makefile.PL to enable access to that
function then you can use this function.
usage is is as for PVtoD64().
The following function assigns a new value to an already-
existing Math::Decimal64 object:
assignME($d64, $mantissa, $exponent);
Assigns the value represented by ($mantissa, $exponent)
to the Math::Decimal64 object, $d64.
eg: assignME($d64, '123459', -6); # 0.123459
ASSIGNMENT OF INF, NAN and ZERO
$d64 = InfD64($sign);
If $sign < 0, returns a Math::Decimal64 object set to
negative infinity; else returns a Math::Decimal64 object set
to positive infinity.
$d64 = NaND64($sign);
If $sign < 0, returns a Math::Decimal64 object set to
negative NaN; else returns a Math::Decimal64 object set to
positive NaN. It may be problematical as to whether a NaN
with the correct sign has been returned ... but, either way,
it should return a NaN.
$d64 = ZeroD64($sign);
If $sign < 0, returns a Math::Decimal64 object set to
negative zero; else returns a Math::Decimal64 object set to
positive zero.
OTHER FUNCTIONS
$d64 = exp10($pow);
Returns a Math::Decimal64 object with a value of
10 ** $pow, for $pow in the range (-398 .. 383). Croaks
with appropriate message if $pow is not within that range.
$bool = have_strtod64();
Returns true if the STRtoD64() function is functional for
your build of Math::Decimal64. Else returns false.
$test = is_ZeroD64($d64);
Returns:
-1 if $d64 is negative zero;
1 if $d64 is a positive zero;
0 if $d64 is not zero.
$test = is_InfD64($d64);
Returns:
-1 if $d64 is negative infinity;
1 if $d64 is positive infinity;
0 if $d64 is not infinity.
$bool = is_NaND64($d64);
Returns:
1 if $d64 is a NaN;
0 if $d64 is not a NaN.
RETRIEVAL FUNCTIONS
The following functions provide ways of seeing the value of
Math::Decimal64 objects.
$nv = D64toNV($d64);
This function returns the value of the Math::Decimal64
object to a perl scalar (NV). It does not always
translate the value accurately.
($mantissa, $exponent) = D64toME($d64);
Returns the value of the Math::Decimal object as a
mantissa (string of up to 16 decimal digits) and exponent.
You can then manipulate those variables to output the
value in your preferred format.
print $d64;
Will print the value in the format (eg) -12345e-2, which
equates to the decimal -123.45.
LICENSE
This program is free software; you may redistribute it and/or
modify it under the same terms as Perl itself.
Copyright 2012 Sisyphus
AUTHOR
Sisyphus <sisyphus at(@) cpan dot (.) org>