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.\" ========================================================================
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.\" titles (.TH), headers (.SH), subsections (.SS), items (.Ip), and index
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.\" ========================================================================
.\"
.IX Title "Set::Infinite::Arithmetic 3pm"
.TH Set::Infinite::Arithmetic 3pm "2016-04-16" "perl v5.22.1" "User Contributed Perl Documentation"
.\" For nroff, turn off justification.  Always turn off hyphenation; it makes
.\" way too many mistakes in technical documents.
.if n .ad l
.nh
.SS "\s-1NAME\s0"
.IX Subsection "NAME"
Set::Infinite::Arithmetic \- Scalar operations used by \fIquantize()\fR and \fIoffset()\fR
.SS "\s-1AUTHOR\s0"
.IX Subsection "AUTHOR"
Flavio Soibelmann Glock \- fglock@pucrs.br
.ie n .SS "%_MODE hash of subs"
.el .SS "\f(CW%_MODE\fP hash of subs"
.IX Subsection "%_MODE hash of subs"
.Vb 1
\&    $a\->offset ( value => [1,2], mode => \*(Aqoffset\*(Aq, unit => \*(Aqdays\*(Aq );
\&
\&    $a\->offset ( value => [1,2, \-5,\-4], mode => \*(Aqoffset\*(Aq, unit => \*(Aqdays\*(Aq );
.Ve
.PP
note: if mode = circle, then \*(L"\-5\*(R" counts from end (like a Perl negative array index).
.PP
.Vb 1
\&    $a\->offset ( value => [1,2], mode => \*(Aqoffset\*(Aq, unit => \*(Aqdays\*(Aq, strict => $a );
.Ve
.PP
option 'strict' will return intersection($a,offset). Default: none.
.ie n .SS "%subs_offset2($object, $offset1, $offset2)"
.el .SS "\f(CW%subs_offset\fP2($object, \f(CW$offset1\fP, \f(CW$offset2\fP)"
.IX Subsection "%subs_offset2($object, $offset1, $offset2)"
.Vb 1
\&    &{ $subs_offset2{$unit} } ($object, $offset1, $offset2);
.Ve
.PP
A hash of functions that return:
.PP
.Vb 1
\&    ($object+$offset1, $object+$offset2)
.Ve
.PP
in \f(CW$unit\fR context.
.PP
Returned \f(CW$object\fR+$offset1, \f(CW$object\fR+$offset2 may be scalars or objects.
.ie n .SS "%Offset_to_value($object, $offset)"
.el .SS "\f(CW%Offset_to_valu\fPe($object, \f(CW$offset\fP)"
.IX Subsection "%Offset_to_value($object, $offset)"
.ie n .SS "%Init_quantizer($object)"
.el .SS "\f(CW%Init_quantize\fPr($object)"
.IX Subsection "%Init_quantizer($object)"
.Vb 1
\&    $Offset_to_value{$unit} ($object, $offset);
\&
\&    $Init_quantizer{$unit} ($object);
.Ve
.PP
Maps an 'offset value' to a 'value'
.PP
A hash of functions that return ( int($object) + \f(CW$offset\fR ) in \f(CW$unit\fR context.
.PP
Init_quantizer subroutines must be called before using subs_offset1 functions.
.PP
int(object)+offset is a scalar.
.PP
Offset_to_value is optimized for calling it multiple times on the same object,
with different offsets. That's why there is a separate initialization
subroutine.
.PP
\&\f(CW$self\fR\->{offset} is created on initialization. It is an index used 
by the memoization cache.