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.\" ========================================================================
.\"
.IX Title "Math::NoCarry 3pm"
.TH Math::NoCarry 3pm "2018-06-23" "perl v5.26.2" "User Contributed Perl Documentation"
.\" For nroff, turn off justification.  Always turn off hyphenation; it makes
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.SH "NAME"
Math::NoCarry \- Perl extension for no\- carry arithmetic
.SH "SYNOPSIS"
.IX Header "SYNOPSIS"
.Vb 1
\&        use Math::NoCarry qw(:all);
\&
\&        my $sum        = add( 123, 456 );
\&
\&        my $difference = subtract( 123, 456 );
\&
\&        my $product    = multiply( 123, 456 );
.Ve
.SH "DESCRIPTION"
.IX Header "DESCRIPTION"
No-carry arithmetic doesn't allow you to carry digits to the
next column. For example, if you add 8 and 4, you normally
expect the answer to be 12, but that 1 digit is a carry.
In no-carry arithmetic you can't do that, so the sum of
8 and 4 is just 2. In effect, this is addition modulo 10
in each column. I discard all of the carry digits in
this example:
.PP
.Vb 4
\&          1234
\&        + 5678
\&        \-\-\-\-\-\-
\&          6802
.Ve
.PP
For multiplication, the result of pair-wise multiplication
of digits is the modulo 10 value of their normal, everyday
multiplication.
.PP
.Vb 6
\&        123
\&      x 456
\&      \-\-\-\-\-
\&          8   6 x 3
\&         2    6 x 2
\&        6     6 x 1
\&
\&         5    5 x 3
\&        0     5 x 2
\&       5      5 x 1
\&
\&        2     4 x 3
\&       8      4 x 2
\&    + 4       4 x 1
\&    \-\-\-\-\-\-\-
\&      43878
.Ve
.PP
Since multiplication and subtraction are actually types of
additions, you can multiply and subtract like this as well.
.PP
No carry arithmetic is both associative and commutative.
.SS "Functions"
.IX Subsection "Functions"
As of version 1.11, all of these functions are exportable on
demand, or with the tag \f(CW\*(C`:all\*(C'\fR to get them all at once.
.IP "multiply( A, B )" 4
.IX Item "multiply( A, B )"
Returns the no carry product of A and B.
.Sp
Return A if it is the only argument ( A x 1 );
.IP "add( A, B )" 4
.IX Item "add( A, B )"
Returns the no carry sum of the positive numbers A and B.
.Sp
Returns A if it is the only argument ( A + 0 )
.Sp
Returns false if either number is negative.
.IP "subtract( A, B )" 4
.IX Item "subtract( A, B )"
Returns the no carry difference of the positive numbers A and B.
.Sp
Returns A if it is the only argument ( A \- 0 )
.Sp
Returns false if either number is negative.
.SH "BUGS"
.IX Header "BUGS"
* none reported yet :)
.SH "TO DO"
.IX Header "TO DO"
* this could be a full object package with overloaded
+, *, and \- operators
.PP
* it would be nice if I could give the functions more than
two arguments.
.PP
* addition and subtraction don't do negative numbers.
.SH "SOURCE AVAILABILITY"
.IX Header "SOURCE AVAILABILITY"
This source is in GitHub:
.PP
.Vb 1
\&        https://github.com/briandfoy/math\-nocarry
.Ve
.SH "AUTHOR"
.IX Header "AUTHOR"
brian d foy, \f(CW\*(C`<bdfoy@cpan.org>\*(C'\fR
.SH "COPYRIGHT AND LICENSE"
.IX Header "COPYRIGHT AND LICENSE"
Copyright © 2002\-2018, brian d foy <bdfoy@cpan.org>. All rights reserved.
.PP
This program is free software; you can redistribute it and/or modify
it under the terms of the Artistic License 2.0.