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BigInt.pm
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BigInt.pm
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# -*- coding: utf-8-unix -*-
package Math::BigInt;
#
# "Mike had an infinite amount to do and a negative amount of time in which
# to do it." - Before and After
#
# The following hash values are used:
# value: unsigned int with actual value (as a Math::BigInt::Calc or similar)
# sign : +, -, NaN, +inf, -inf
# _a : accuracy
# _p : precision
# Remember not to take shortcuts ala $xs = $x->{value}; $LIB->foo($xs); since
# underlying lib might change the reference!
use 5.006001;
use strict;
use warnings;
use Carp qw< carp croak >;
use Scalar::Util qw< blessed refaddr >;
our $VERSION = '2.001001';
$VERSION =~ tr/_//d;
require Exporter;
our @ISA = qw(Exporter);
our @EXPORT_OK = qw(objectify bgcd blcm);
# Inside overload, the first arg is always an object. If the original code had
# it reversed (like $x = 2 * $y), then the third parameter is true.
# In some cases (like add, $x = $x + 2 is the same as $x = 2 + $x) this makes
# no difference, but in some cases it does.
# For overloaded ops with only one argument we simple use $_[0]->copy() to
# preserve the argument.
# Thus inheritance of overload operators becomes possible and transparent for
# our subclasses without the need to repeat the entire overload section there.
use overload
# overload key: with_assign
'+' => sub { $_[0] -> copy() -> badd($_[1]); },
'-' => sub { my $c = $_[0] -> copy();
$_[2] ? $c -> bneg() -> badd($_[1])
: $c -> bsub($_[1]); },
'*' => sub { $_[0] -> copy() -> bmul($_[1]); },
'/' => sub { $_[2] ? ref($_[0]) -> new($_[1]) -> bdiv($_[0])
: $_[0] -> copy() -> bdiv($_[1]); },
'%' => sub { $_[2] ? ref($_[0]) -> new($_[1]) -> bmod($_[0])
: $_[0] -> copy() -> bmod($_[1]); },
'**' => sub { $_[2] ? ref($_[0]) -> new($_[1]) -> bpow($_[0])
: $_[0] -> copy() -> bpow($_[1]); },
'<<' => sub { $_[2] ? ref($_[0]) -> new($_[1]) -> bblsft($_[0])
: $_[0] -> copy() -> bblsft($_[1]); },
'>>' => sub { $_[2] ? ref($_[0]) -> new($_[1]) -> bbrsft($_[0])
: $_[0] -> copy() -> bbrsft($_[1]); },
# overload key: assign
'+=' => sub { $_[0] -> badd($_[1]); },
'-=' => sub { $_[0] -> bsub($_[1]); },
'*=' => sub { $_[0] -> bmul($_[1]); },
'/=' => sub { scalar $_[0] -> bdiv($_[1]); },
'%=' => sub { $_[0] -> bmod($_[1]); },
'**=' => sub { $_[0] -> bpow($_[1]); },
'<<=' => sub { $_[0] -> bblsft($_[1]); },
'>>=' => sub { $_[0] -> bbrsft($_[1]); },
# 'x=' => sub { },
# '.=' => sub { },
# overload key: num_comparison
'<' => sub { $_[2] ? ref($_[0]) -> new($_[1]) -> blt($_[0])
: $_[0] -> blt($_[1]); },
'<=' => sub { $_[2] ? ref($_[0]) -> new($_[1]) -> ble($_[0])
: $_[0] -> ble($_[1]); },
'>' => sub { $_[2] ? ref($_[0]) -> new($_[1]) -> bgt($_[0])
: $_[0] -> bgt($_[1]); },
'>=' => sub { $_[2] ? ref($_[0]) -> new($_[1]) -> bge($_[0])
: $_[0] -> bge($_[1]); },
'==' => sub { $_[0] -> beq($_[1]); },
'!=' => sub { $_[0] -> bne($_[1]); },
# overload key: 3way_comparison
'<=>' => sub { my $cmp = $_[0] -> bcmp($_[1]);
defined($cmp) && $_[2] ? -$cmp : $cmp; },
'cmp' => sub { $_[2] ? "$_[1]" cmp $_[0] -> bstr()
: $_[0] -> bstr() cmp "$_[1]"; },
# overload key: str_comparison
# 'lt' => sub { $_[2] ? ref($_[0]) -> new($_[1]) -> bstrlt($_[0])
# : $_[0] -> bstrlt($_[1]); },
#
# 'le' => sub { $_[2] ? ref($_[0]) -> new($_[1]) -> bstrle($_[0])
# : $_[0] -> bstrle($_[1]); },
#
# 'gt' => sub { $_[2] ? ref($_[0]) -> new($_[1]) -> bstrgt($_[0])
# : $_[0] -> bstrgt($_[1]); },
#
# 'ge' => sub { $_[2] ? ref($_[0]) -> new($_[1]) -> bstrge($_[0])
# : $_[0] -> bstrge($_[1]); },
#
# 'eq' => sub { $_[0] -> bstreq($_[1]); },
#
# 'ne' => sub { $_[0] -> bstrne($_[1]); },
# overload key: binary
'&' => sub { $_[2] ? ref($_[0]) -> new($_[1]) -> band($_[0])
: $_[0] -> copy() -> band($_[1]); },
'&=' => sub { $_[0] -> band($_[1]); },
'|' => sub { $_[2] ? ref($_[0]) -> new($_[1]) -> bior($_[0])
: $_[0] -> copy() -> bior($_[1]); },
'|=' => sub { $_[0] -> bior($_[1]); },
'^' => sub { $_[2] ? ref($_[0]) -> new($_[1]) -> bxor($_[0])
: $_[0] -> copy() -> bxor($_[1]); },
'^=' => sub { $_[0] -> bxor($_[1]); },
# '&.' => sub { },
# '&.=' => sub { },
# '|.' => sub { },
# '|.=' => sub { },
# '^.' => sub { },
# '^.=' => sub { },
# overload key: unary
'neg' => sub { $_[0] -> copy() -> bneg(); },
# '!' => sub { },
'~' => sub { $_[0] -> copy() -> bnot(); },
# '~.' => sub { },
# overload key: mutators
'++' => sub { $_[0] -> binc() },
'--' => sub { $_[0] -> bdec() },
# overload key: func
'atan2' => sub { $_[2] ? ref($_[0]) -> new($_[1]) -> batan2($_[0])
: $_[0] -> copy() -> batan2($_[1]); },
'cos' => sub { $_[0] -> copy() -> bcos(); },
'sin' => sub { $_[0] -> copy() -> bsin(); },
'exp' => sub { $_[0] -> copy() -> bexp($_[1]); },
'abs' => sub { $_[0] -> copy() -> babs(); },
'log' => sub { $_[0] -> copy() -> blog(); },
'sqrt' => sub { $_[0] -> copy() -> bsqrt(); },
'int' => sub { $_[0] -> copy() -> bint(); },
# overload key: conversion
'bool' => sub { $_[0] -> is_zero() ? '' : 1; },
'""' => sub { $_[0] -> bstr(); },
'0+' => sub { $_[0] -> numify(); },
'=' => sub { $_[0] -> copy(); },
;
##############################################################################
# global constants, flags and accessory
# These vars are public, but their direct usage is not recommended, use the
# accessor methods instead
# $round_mode is 'even', 'odd', '+inf', '-inf', 'zero', 'trunc', or 'common'.
our $round_mode = 'even';
our $accuracy = undef;
our $precision = undef;
our $div_scale = 40;
our $upgrade = undef; # default is no upgrade
our $downgrade = undef; # default is no downgrade
# These are internally, and not to be used from the outside at all
our $_trap_nan = 0; # are NaNs ok? set w/ config()
our $_trap_inf = 0; # are infs ok? set w/ config()
my $nan = 'NaN'; # constants for easier life
# Module to do the low level math.
my $DEFAULT_LIB = 'Math::BigInt::Calc';
my $LIB;
# Has import() been called yet? This variable is needed to make "require" work.
my $IMPORT = 0;
##############################################################################
# the old code had $rnd_mode, so we need to support it, too
our $rnd_mode = 'even';
sub TIESCALAR {
my ($class) = @_;
bless \$round_mode, $class;
}
sub FETCH {
return $round_mode;
}
sub STORE {
$rnd_mode = $_[0]->round_mode($_[1]);
}
BEGIN {
# tie to enable $rnd_mode to work transparently
tie $rnd_mode, 'Math::BigInt';
# set up some handy alias names
*is_pos = \&is_positive;
*is_neg = \&is_negative;
*as_number = \&as_int;
}
###############################################################################
# Configuration methods
###############################################################################
sub round_mode {
my $self = shift;
my $class = ref($self) || $self || __PACKAGE__;
if (@_) { # setter
my $m = shift;
croak("The value for 'round_mode' must be defined")
unless defined $m;
croak("Unknown round mode '$m'")
unless $m =~ /^(even|odd|\+inf|\-inf|zero|trunc|common)$/;
no strict 'refs';
${"${class}::round_mode"} = $m;
}
else { # getter
no strict 'refs';
my $m = ${"${class}::round_mode"};
defined($m) ? $m : $round_mode;
}
}
sub upgrade {
my $self = shift;
my $class = ref($self) || $self || __PACKAGE__;
no strict 'refs';
# setter/mutator
if (@_) {
return ${"${class}::upgrade"} = $_[0];
}
# getter/accessor
${"${class}::upgrade"};
}
sub downgrade {
my $self = shift;
my $class = ref($self) || $self || __PACKAGE__;
no strict 'refs';
# setter/mutator
if (@_) {
return ${"${class}::downgrade"} = $_[0];
}
# getter/accessor
${"${class}::downgrade"};
}
sub div_scale {
my $self = shift;
my $class = ref($self) || $self || __PACKAGE__;
# setter/mutator
if (@_) {
my $ds = shift;
croak("The value for 'div_scale' must be defined") unless defined $ds;
$ds = $ds -> can('numify') ? $ds -> numify() : 0 + "$ds" if ref($ds);
# also croak on non-numerical
croak "div_scale must be a number, not '$ds'"
unless $ds =~/^[+-]?(?:\d+(?:\.\d*)?|\.\d+)(?:[Ee][+-]?\d+)?\z/;
croak "div_scale must be an integer, not '$ds'"
if $ds != int $ds;
# It is not documented what div_scale <= 0 means, but Astro::Units sets
# div_scale to 0 and fails its tests if this is not supported. So we
# silently support div_scale = 0.
croak "div_scale must be positive, not '$ds'" if $ds < 0;
no strict 'refs';
${"${class}::div_scale"} = $ds;
}
# getter/accessor
else {
no strict 'refs';
my $ds = ${"${class}::div_scale"};
defined($ds) ? $ds : $div_scale;
}
}
sub accuracy {
my $x = shift;
my $class = ref($x) || $x || __PACKAGE__;
no strict 'refs';
# setter/mutator
if (@_) {
my $a = shift;
if (defined $a) {
$a = $a -> can('numify') ? $a -> numify() : 0 + "$a" if ref($a);
# also croak on non-numerical
croak "accuracy must be a number, not '$a'"
unless $a =~/^[+-]?(?:\d+(?:\.\d*)?|\.\d+)(?:[Ee][+-]?\d+)?\z/;
croak "accuracy must be an integer, not '$a'"
if $a != int $a;
croak "accuracy must be greater than zero, not '$a'"
if $a <= 0;
}
if (ref($x)) {
# Set instance variable.
$x = $x->bround($a) if defined $a;
$x->{_a} = $a; # set/overwrite, even if not rounded
$x->{_p} = undef; # clear P
# Why return class variable here? Fixme!
$a = ${"${class}::accuracy"} unless defined $a;
} else {
# Set class variable.
${"${class}::accuracy"} = $a; # set global A
${"${class}::precision"} = undef; # clear global P
}
return $a; # shortcut
}
# getter/accessor
# Return instance variable.
return $x->{_a} if ref($x);
# Return class variable.
return ${"${class}::accuracy"};
}
sub precision {
my $x = shift;
my $class = ref($x) || $x || __PACKAGE__;
no strict 'refs';
# setter/mutator
if (@_) {
my $p = shift;
if (defined $p) {
$p = $p -> can('numify') ? $p -> numify() : 0 + "$p" if ref($p);
croak "precision must be a number, not '$p'"
unless $p =~/^[+-]?(?:\d+(?:\.\d*)?|\.\d+)(?:[Ee][+-]?\d+)?\z/;
croak "precision must be an integer, not '$p'"
if $p != int $p;
}
if (ref($x)) {
# Set instance variable.
$x = $x->bfround($p) if defined $p;
$x->{_p} = $p; # set/overwrite, even if not rounded
$x->{_a} = undef; # clear A
# Why return class variable here? Fixme!
$p = ${"${class}::precision"} unless defined $p;
} else {
# Set class variable.
${"${class}::precision"} = $p; # set global P
${"${class}::accuracy"} = undef; # clear global A
}
return $p; # shortcut
}
# getter/accessor
# Return instance variable.
return $x->{_p} if ref($x);
# Return class variable.
return ${"${class}::precision"};
}
sub config {
# return (or set) configuration data.
my $class = shift || __PACKAGE__;
no strict 'refs';
if (@_ > 1 || (@_ == 1 && (ref($_[0]) eq 'HASH'))) {
# try to set given options as arguments from hash
my $args = $_[0];
if (ref($args) ne 'HASH') {
$args = { @_ };
}
# these values can be "set"
my $set_args = {};
foreach my $key (qw/
accuracy precision
round_mode div_scale
upgrade downgrade
trap_inf trap_nan
/)
{
$set_args->{$key} = $args->{$key} if exists $args->{$key};
delete $args->{$key};
}
if (keys %$args > 0) {
croak("Illegal key(s) '", join("', '", keys %$args),
"' passed to $class\->config()");
}
foreach my $key (keys %$set_args) {
if ($key =~ /^trap_(inf|nan)\z/) {
${"${class}::_trap_$1"} = ($set_args->{"trap_$1"} ? 1 : 0);
next;
}
# use a call instead of just setting the $variable to check argument
$class->$key($set_args->{$key});
}
}
# now return actual configuration
my $cfg = {
lib => $LIB,
lib_version => ${"${LIB}::VERSION"},
class => $class,
trap_nan => ${"${class}::_trap_nan"},
trap_inf => ${"${class}::_trap_inf"},
version => ${"${class}::VERSION"},
};
foreach my $key (qw/
accuracy precision
round_mode div_scale
upgrade downgrade
/)
{
$cfg->{$key} = ${"${class}::$key"};
}
if (@_ == 1 && (ref($_[0]) ne 'HASH')) {
# calls of the style config('lib') return just this value
return $cfg->{$_[0]};
}
$cfg;
}
sub _scale_a {
# select accuracy parameter based on precedence,
# used by bround() and bfround(), may return undef for scale (means no op)
my ($x, $scale, $mode) = @_;
$scale = $x->{_a} unless defined $scale;
no strict 'refs';
my $class = ref($x);
$scale = $class -> accuracy() unless defined $scale;
$mode = $class -> round_mode() unless defined $mode;
if (defined $scale) {
$scale = $scale->can('numify') ? $scale->numify()
: "$scale" if ref($scale);
$scale = int($scale);
}
($scale, $mode);
}
sub _scale_p {
# select precision parameter based on precedence,
# used by bround() and bfround(), may return undef for scale (means no op)
my ($x, $scale, $mode) = @_;
$scale = $x->{_p} unless defined $scale;
no strict 'refs';
my $class = ref($x);
$scale = $class -> precision() unless defined $scale;
$mode = $class -> round_mode() unless defined $mode;
if (defined $scale) {
$scale = $scale->can('numify') ? $scale->numify()
: "$scale" if ref($scale);
$scale = int($scale);
}
($scale, $mode);
}
###############################################################################
# Constructor methods
###############################################################################
sub new {
# Create a new Math::BigInt object from a string or another Math::BigInt
# object. See hash keys documented at top.
# The argument could be an object, so avoid ||, && etc. on it. This would
# cause costly overloaded code to be called. The only allowed ops are ref()
# and defined.
my $self = shift;
my $selfref = ref $self;
my $class = $selfref || $self;
# Make "require" work.
$class -> import() if $IMPORT == 0;
# Calling new() with no input arguments has been discouraged for more than
# 10 years, but people apparently still use it, so we still support it.
return $class -> bzero() unless @_;
my ($wanted, @r) = @_;
if (!defined($wanted)) {
#carp("Use of uninitialized value in new()")
# if warnings::enabled("uninitialized");
return $class -> bzero(@r);
}
if (!ref($wanted) && $wanted eq "") {
#carp(q|Argument "" isn't numeric in new()|)
# if warnings::enabled("numeric");
#return $class -> bzero(@r);
return $class -> bnan(@r);
}
# Initialize a new object.
$self = bless {}, $class;
# Math::BigInt or subclass
if (defined(blessed($wanted)) && $wanted -> isa(__PACKAGE__)) {
# Don't copy the accuracy and precision, because a new object should get
# them from the global configuration.
$self -> {sign} = $wanted -> {sign};
$self -> {value} = $LIB -> _copy($wanted -> {value});
$self = $self->round(@r)
unless @r >= 2 && !defined($r[0]) && !defined($r[1]);
return $self;
}
# Shortcut for non-zero scalar integers with no non-zero exponent.
if ($wanted =~
/ ^
( [+-]? ) # optional sign
( [1-9] [0-9]* ) # non-zero significand
( \.0* )? # ... with optional zero fraction
( [Ee] [+-]? 0+ )? # optional zero exponent
\z
/x)
{
my $sgn = $1;
my $abs = $2;
$self->{sign} = $sgn || '+';
$self->{value} = $LIB->_new($abs);
$self = $self->round(@r);
return $self;
}
# Handle Infs.
if ($wanted =~ / ^
\s*
( [+-]? )
inf (?: inity )?
\s*
\z
/ix)
{
my $sgn = $1 || '+';
return $class -> binf($sgn, @r);
}
# Handle explicit NaNs (not the ones returned due to invalid input).
if ($wanted =~ / ^
\s*
( [+-]? )
nan
\s*
\z
/ix)
{
return $class -> bnan(@r);
}
my @parts;
if (
# Handle hexadecimal numbers. We auto-detect hexadecimal numbers if they
# have a "0x", "0X", "x", or "X" prefix, cf. CORE::oct().
$wanted =~ /^\s*[+-]?0?[Xx]/ and
@parts = $class -> _hex_str_to_flt_lib_parts($wanted)
or
# Handle octal numbers. We auto-detect octal numbers if they have a
# "0o", "0O", "o", "O" prefix, cf. CORE::oct().
$wanted =~ /^\s*[+-]?0?[Oo]/ and
@parts = $class -> _oct_str_to_flt_lib_parts($wanted)
or
# Handle binary numbers. We auto-detect binary numbers if they have a
# "0b", "0B", "b", or "B" prefix, cf. CORE::oct().
$wanted =~ /^\s*[+-]?0?[Bb]/ and
@parts = $class -> _bin_str_to_flt_lib_parts($wanted)
or
# At this point, what is left are decimal numbers that aren't handled
# above and octal floating point numbers that don't have any of the
# "0o", "0O", "o", or "O" prefixes. First see if it is a decimal number.
@parts = $class -> _dec_str_to_flt_lib_parts($wanted)
or
# See if it is an octal floating point number. The extra check is
# included because _oct_str_to_flt_lib_parts() accepts octal numbers
# that don't have a prefix (this is needed to make it work with, e.g.,
# from_oct() that don't require a prefix). However, Perl requires a
# prefix for octal floating point literals. For example, "1p+0" is not
# valid, but "01p+0" and "0__1p+0" are.
$wanted =~ /^\s*[+-]?0_*\d/ and
@parts = $class -> _oct_str_to_flt_lib_parts($wanted))
{
# The value is an integer iff the exponent is non-negative.
if ($parts[2] eq '+') {
$self -> {sign} = $parts[0];
$self -> {value} = $LIB -> _lsft($parts[1], $parts[3], 10);
$self = $self->round(@r)
unless @r >= 2 && !defined($r[0]) && !defined($r[1]);
return $self;
}
# The value is not an integer, so upgrade if upgrading is enabled.
return $upgrade -> new($wanted, @r) if defined $upgrade;
}
# If we get here, the value is neither a valid decimal, binary, octal, or
# hexadecimal number. It is not explicit an Inf or a NaN either.
return $class -> bnan(@r);
}
# Create a Math::BigInt from a decimal string. This is an equivalent to
# from_hex(), from_oct(), and from_bin(). It is like new() except that it does
# not accept anything but a string representing a finite decimal number.
sub from_dec {
my $self = shift;
my $selfref = ref $self;
my $class = $selfref || $self;
# Make "require" work.
$class -> import() if $IMPORT == 0;
# Don't modify constant (read-only) objects.
return $self if $selfref && $self->modify('from_dec');
my $str = shift;
my @r = @_;
# If called as a class method, initialize a new object.
$self = $class -> bzero(@r) unless $selfref;
if (my @parts = $class -> _dec_str_to_flt_lib_parts($str)) {
# The value is an integer iff the exponent is non-negative.
if ($parts[2] eq '+') {
$self -> {sign} = $parts[0];
$self -> {value} = $LIB -> _lsft($parts[1], $parts[3], 10);
return $self -> round(@r);
}
# The value is not an integer, so upgrade if upgrading is enabled.
return $upgrade -> new($str, @r) if defined $upgrade;
}
return $self -> bnan(@r);
}
# Create a Math::BigInt from a hexadecimal string.
sub from_hex {
my $self = shift;
my $selfref = ref $self;
my $class = $selfref || $self;
# Make "require" work.
$class -> import() if $IMPORT == 0;
# Don't modify constant (read-only) objects.
return $self if $selfref && $self->modify('from_hex');
my $str = shift;
my @r = @_;
# If called as a class method, initialize a new object.
$self = $class -> bzero(@r) unless $selfref;
if (my @parts = $class -> _hex_str_to_flt_lib_parts($str)) {
# The value is an integer iff the exponent is non-negative.
if ($parts[2] eq '+') {
$self -> {sign} = $parts[0];
$self -> {value} = $LIB -> _lsft($parts[1], $parts[3], 10);
return $self -> round(@r);
}
# The value is not an integer, so upgrade if upgrading is enabled.
return $upgrade -> new($str, @r) if defined $upgrade;
}
return $self -> bnan(@r);
}
# Create a Math::BigInt from an octal string.
sub from_oct {
my $self = shift;
my $selfref = ref $self;
my $class = $selfref || $self;
# Make "require" work.
$class -> import() if $IMPORT == 0;
# Don't modify constant (read-only) objects.
return $self if $selfref && $self->modify('from_oct');
my $str = shift;
my @r = @_;
# If called as a class method, initialize a new object.
$self = $class -> bzero(@r) unless $selfref;
if (my @parts = $class -> _oct_str_to_flt_lib_parts($str)) {
# The value is an integer iff the exponent is non-negative.
if ($parts[2] eq '+') {
$self -> {sign} = $parts[0];
$self -> {value} = $LIB -> _lsft($parts[1], $parts[3], 10);
return $self -> round(@r);
}
# The value is not an integer, so upgrade if upgrading is enabled.
return $upgrade -> new($str, @r) if defined $upgrade;
}
return $self -> bnan(@r);
}
# Create a Math::BigInt from a binary string.
sub from_bin {
my $self = shift;
my $selfref = ref $self;
my $class = $selfref || $self;
# Make "require" work.
$class -> import() if $IMPORT == 0;
# Don't modify constant (read-only) objects.
return $self if $selfref && $self->modify('from_bin');
my $str = shift;
my @r = @_;
# If called as a class method, initialize a new object.
$self = $class -> bzero(@r) unless $selfref;
if (my @parts = $class -> _bin_str_to_flt_lib_parts($str)) {
# The value is an integer iff the exponent is non-negative.
if ($parts[2] eq '+') {
$self -> {sign} = $parts[0];
$self -> {value} = $LIB -> _lsft($parts[1], $parts[3], 10);
return $self -> round(@r);
}
# The value is not an integer, so upgrade if upgrading is enabled.
return $upgrade -> new($str, @r) if defined $upgrade;
}
return $self -> bnan(@r);
}
# Create a Math::BigInt from a byte string.
sub from_bytes {
my $self = shift;
my $selfref = ref $self;
my $class = $selfref || $self;
# Make "require" work.
$class -> import() if $IMPORT == 0;
# Don't modify constant (read-only) objects.
return $self if $selfref && $self->modify('from_bytes');
croak("from_bytes() requires a newer version of the $LIB library.")
unless $LIB->can('_from_bytes');
my $str = shift;
my @r = @_;
# If called as a class method, initialize a new object.
$self = $class -> bzero(@r) unless $selfref;
$self -> {sign} = '+';
$self -> {value} = $LIB -> _from_bytes($str);
return $self -> round(@r);
}
sub from_base {
my $self = shift;
my $selfref = ref $self;
my $class = $selfref || $self;
# Make "require" work.
$class -> import() if $IMPORT == 0;
# Don't modify constant (read-only) objects.
return $self if $selfref && $self->modify('from_base');
my ($str, $base, $cs, @r) = @_; # $cs is the collation sequence
$base = $class->new($base) unless ref($base);
croak("the base must be a finite integer >= 2")
if $base < 2 || ! $base -> is_int();
# If called as a class method, initialize a new object.
$self = $class -> bzero() unless $selfref;
# If no collating sequence is given, pass some of the conversions to
# methods optimized for those cases.
unless (defined $cs) {
return $self -> from_bin($str, @r) if $base == 2;
return $self -> from_oct($str, @r) if $base == 8;
return $self -> from_hex($str, @r) if $base == 16;
if ($base == 10) {
my $tmp = $class -> from_dec($str, @r);
$self -> {value} = $tmp -> {value};
$self -> {sign} = '+';
return $self -> bround(@r);
}
}
croak("from_base() requires a newer version of the $LIB library.")
unless $LIB->can('_from_base');
$self -> {sign} = '+';
$self -> {value}
= $LIB->_from_base($str, $base -> {value}, defined($cs) ? $cs : ());
return $self -> bround(@r);
}
sub from_base_num {
my $self = shift;
my $selfref = ref $self;
my $class = $selfref || $self;
# Make "require" work.
$class -> import() if $IMPORT == 0;
# Don't modify constant (read-only) objects.
return $self if $selfref && $self->modify('from_base_num');
# Make sure we have an array of non-negative, finite, numerical objects.
my $nums = shift;
$nums = [ @$nums ]; # create new reference
for my $i (0 .. $#$nums) {
# Make sure we have an object.
$nums -> [$i] = $class -> new($nums -> [$i])
unless defined(blessed($nums -> [$i]))
&& $nums -> [$i] -> isa(__PACKAGE__);
# Make sure we have a finite, non-negative integer.
croak "the elements must be finite non-negative integers"
if $nums -> [$i] -> is_neg() || ! $nums -> [$i] -> is_int();
}
my $base = shift;
$base = $class -> new($base)
unless defined(blessed($base)) && $base -> isa(__PACKAGE__);
my @r = @_;
# If called as a class method, initialize a new object.