`\" -*- nroff -*-
`\" Copyright (c) 2006 Donal K. Fellows.
`\"
`\" See the file "license.terms" for information on usage and redistribution
`\" of this file, and for a DISCLAIMER OF ALL WARRANTIES.
`\" 
`\" RCS: @(#) $Id: mathop.n,v 1.2 2006/12/19 08:56:53 dkf Exp $
`\" 
.so man.macros
.TH mathop n 8.5 Tcl "Tcl Mathematical Operator Commands"
.BS
`\" Note:  do not modify the .SH NAME line immediately below!
.SH NAME
mathop \- Mathematical operators as Tcl commands
.SH SYNOPSIS
package require \fBTcl 8.5\fR
.sp
\fB::tcl::mathop::!\fR \fIarg\fR
.br
\fB::tcl::mathop::~\fR \fIarg\fR
.br
\fB::tcl::mathop::+\fR ?\fIarg\fR ...?
.br
\fB::tcl::mathop::\-\fR \fIarg\fR ?\fIarg\fR ...?
.br
\fB::tcl::mathop::*\fR ?\fIarg\fR ...?
.br
\fB::tcl::mathop::/\fR \fIarg\fR ?\fIarg\fR ...?
.br
\fB::tcl::mathop::%\fR \fIarg arg\fR
.br
\fB::tcl::mathop::**\fR ?\fIarg\fR ...?
.br
\fB::tcl::mathop::&\fR ?\fIarg\fR ...?
.br
\fB::tcl::mathop::|\fR ?\fIarg\fR ...?
.br
\fB::tcl::mathop::^\fR ?\fIarg\fR ...?
.br
\fB::tcl::mathop::<<\fR \fIarg arg\fR
.br
\fB::tcl::mathop::>>\fR \fIarg arg\fR
.br
\fB::tcl::mathop::==\fR ?\fIarg\fR ...?
.br
\fB::tcl::mathop::!=\fR \fIarg arg\fR
.br
\fB::tcl::mathop::<\fR ?\fIarg\fR ...?
.br
\fB::tcl::mathop::<=\fR ?\fIarg\fR ...?
.br
\fB::tcl::mathop::=>\fR ?\fIarg\fR ...?
.br
\fB::tcl::mathop::>\fR ?\fIarg\fR ...?
.br
\fB::tcl::mathop::eq\fR ?\fIarg\fR ...?
.br
\fB::tcl::mathop::ne\fR \fIarg arg\fR
.br
\fB::tcl::mathop::in\fR \fIarg list\fR
.br
\fB::tcl::mathop::ni\fR \fIarg list\fR
.sp
.BE
.SH DESCRIPTION
.PP
The commands in the \fB::tcl::mathop\fR namespace implement the same set of
operations as supported by the \fBexpr\fR command. All are exported from the
namespace, but are not imported into any other namespace by default. Note that
renaming, reimplementing or deleting any of the commands in the namespace does
\fInot\fR alter the way that the \fBexpr\fR command behaves.
.PP
The following operator commands are supported:
.DS
.ta 2c 4c 6c 8c
\fB~\fR	\fB!\fR	\fB+\fR	\fB\-\fR	\fB*\fR
\fB/\fR	\fB%\fR	\fB**\fR	\fB&\fR	\fB|\fR
\fB^\fR	\fB>>\fR	\fB<<\fR	\fB==\fR	\fBeq\fR
\fB!=\fR	\fBne\fR	\fB<\fR	\fB<=\fR	\fB>\fR
\fB>=\fR	\fBin\fR	\fBni\fR
.DE
.PP
.TP
\fB~\fR \fIarg\fR
Returns the bit-wise negation of \fIarg\fR. \fIArg\fR may be an integer of any
size.
.TP
\fB!\fR \fIarg\fR
Returns the boolean negation of \fIarg\fR. \fIArg\fR may be any numeric value
or any other form of boolean value.
.TP
\fB+\fR ?\fIarg\fR ...?
Returns the sum of arbitrarily many arguments. Each \fIarg\fR may be any
numeric value. If no arguments are given, the result will be zero.
.TP
\fB\-\fR \fIarg\fR ?\fIarg\fR ...?
Returns the either the negation of the first argument (if only one argument is
given) or the result of subtracting arbitrarily many additional arguments from
the first argument. Each \fIarg\fR may be any numeric value. At least one
argument must be given.
.TP
\fB*\fR ?\fIarg\fR ...?
Returns the product of arbitrarily many arguments. Each \fIarg\fR may be any
numeric value. If no arguments are given, the result will be one.
.TP
\fB/\fR \fIarg\fR ?\fIarg\fR ...?
Returns the either the reciprocal of the first argument (if only one argument
is given) or the result of dividing the first argument by arbitrarily many
additional arguments. Each \fIarg\fR may be any numeric value. At least one
argument must be given.
.TP
\fB%\fR \fIarg arg\fR
Returns the integral modulus of the first argument with respect to the
second. Each \fIarg\fR must have an integral value.
.TP
\fB**\fR ?\fIarg\fR ...?
Returns the result of raising each value to the power of the result of
recursively operating on the result of processing the following
arguments, so \fB** 2 3 4\fR is the same as \fB** 2 [** 3 4]\fR. Each
\fIarg\fR may be any numeric value. If no arguments are given, the result will
be one, and if only one argument is given, the result will be that argument.
.TP
\fB&\fR ?\fIarg\fR ...?
Returns the bit-wise AND of each of the arbitrarily many arguments. Each
\fIarg\fR must have an integral value. If no arguments are given, the result
will be minus one.
.TP
\fB|\fR ?\fIarg\fR ...?
Returns the bit-wise OR of each of the arbitrarily many arguments. Each
\fIarg\fR must have an integral value. If no arguments are given, the result
will be zero.
.TP
\fB^\fR ?\fIarg\fR ...?
Returns the bit-wise XOR of each of the arbitrarily many arguments. Each
\fIarg\fR must have an integral value. If no arguments are given, the result
will be zero.
.TP
\fB<<\fR \fIarg arg\fR
Returns the result of shifting the first argument left by the number of bits
specified in the second argument. Each \fIarg\fR must have an integral value.
.TP
\fB>>\fR \fIarg arg\fR
Returns the result of shifting the first argument right by the number of bits
specified in the second argument. Each \fIarg\fR must have an integral value.
.TP
\fB==\fR ?\fIarg\fR ...?
Returns whether each argument is equal to the arguments on each side of it in
the sense of the \fBexpr\fR == operator (\fIi.e.\fR, numeric comparison if
possible). If fewer than two arguments are given, this operation always
returns a true value.
.TP
\fBeq\fR ?\fIarg\fR ...?
Returns whether each argument is equal to the arguments on each side of it
using exact string comparison. If fewer than two arguments are given, this
operation always returns a true value.
.TP
\fB!=\fR \fIarg arg\fR
Returns whether the two arguments are not equal to each other, in the sense of
the \fBexpr\fR != operator (\fIi.e.\fR, numeric comparison if possible).
.TP
\fBne\fR \fIarg arg\fR
Returns whether the two arguments are not equal to each other using exact
string comparison.
.TP
\fB<\fR ?\fIarg\fR ...?
Returns whether the arbitrarily-many arguments are ordered, with each argument
after the first having to be strictly more than the one preceding it.
Comparisons are performed preferentially on the numeric values. If fewer than
two arguments are present, this operation always returns a true value.
.TP
\fB<=\fR ?\fIarg\fR ...?
Returns whether the arbitrarily-many arguments are ordered, with each argument
after the first having to be equal to or more than the one preceding it.
Comparisons are performed preferentially on the numeric values. If fewer than
two arguments are present, this operation always returns a true value.
.TP
\fB>\fR ?\fIarg\fR ...?
Returns whether the arbitrarily-many arguments are ordered, with each argument
after the first having to be strictly less than the one preceding it.
Comparisons are performed preferentially on the numeric values. If fewer than
two arguments are present, this operation always returns a true value.
.TP
\fB>=\fR ?\fIarg\fR ...?
Returns whether the arbitrarily-many arguments are ordered, with each argument
after the first having to be equal to or less than the one preceding it.
Comparisons are performed preferentially on the numeric values. If fewer than
two arguments are present, this operation always returns a true value.
.TP
\fBin\fR \fIarg list\fR
Returns whether the value \fIarg\fR is present in the list \fIlist\fR.
.TP
\fBni\fR \fIarg list\fR
Returns whether the value \fIarg\fR is not present in the list \fIlist\fR.
.SH EXAMPLES
.CS
namespace path {::tcl::mathop ::tcl::mathfunc}

set sum [\fB+\fR 1 2 3]

set list {1 2 3 4 5 6}
set mean [\fB/\fR [\fB+\fR {expand}$list] [double [llength $list]]]

set gotIt [\fBin\fR 3 $list]

set inRange [\fB<=\fR 1 $x 5]
.CE
.SH "SEE ALSO"
expr(n), namespace(n)
.SH KEYWORDS
command, expression, operator