Provided by: tcl8.5-doc_8.5.15-2ubuntu1_all 
NAME
mathop - Mathematical operators as Tcl commands
SYNOPSIS
package require Tcl 8.5
::tcl::mathop::! number
::tcl::mathop::~ number
::tcl::mathop::+ ?number ...?
::tcl::mathop::- number ?number ...?
::tcl::mathop::* ?number ...?
::tcl::mathop::/ number ?number ...?
::tcl::mathop::% number number
::tcl::mathop::** ?number ...?
::tcl::mathop::& ?number ...?
::tcl::mathop::| ?number ...?
::tcl::mathop::^ ?number ...?
::tcl::mathop::<< number number
::tcl::mathop::>> number number
::tcl::mathop::== ?arg ...?
::tcl::mathop::!= arg arg
::tcl::mathop::< ?arg ...?
::tcl::mathop::<= ?arg ...?
::tcl::mathop::>= ?arg ...?
::tcl::mathop::> ?arg ...?
::tcl::mathop::eq ?arg ...?
::tcl::mathop::ne arg arg
::tcl::mathop::in arg list
::tcl::mathop::ni arg list
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DESCRIPTION
The commands in the ::tcl::mathop namespace implement the same set of operations as supported by the expr
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 not alter the
way that the expr command behaves, and nor does defining any new commands in the ::tcl::mathop namespace.
The following operator commands are supported: ~ ! + - *
/ % ** & | ^ >> << == eq != ne < <= >
>= in ni
MATHEMATICAL OPERATORS
The behaviors of the mathematical operator commands are as follows:
! boolean
Returns the boolean negation of boolean, where boolean may be any numeric value or any other form
of boolean value (i.e. it returns truth if the argument is falsity or zero, and falsity if the
argument is truth or non-zero).
+ ?number ...?
Returns the sum of arbitrarily many arguments. Each number argument may be any numeric value. If
no arguments are given, the result will be zero (the summation identity).
- number ?number ...?
If only a single number argument is given, returns the negation of that numeric value. Otherwise
returns the number that results when all subsequent numeric values are subtracted from the first
one. All number arguments must be numeric values. At least one argument must be given.
* ?number ...?
Returns the product of arbitrarily many arguments. Each number may be any numeric value. If no
arguments are given, the result will be one (the multiplicative identity).
/ number ?number ...?
If only a single number argument is given, returns the reciprocal of that numeric value (i.e. the
value obtained by dividing 1.0 by that value). Otherwise returns the number that results when the
first numeric argument is divided by all subsequent numeric arguments. All number arguments must
be numeric values. At least one argument must be given.
Note that when the leading values in the list of arguments are integers, integer division will be
used for those initial steps (i.e. the intermediate results will be as if the functions floor and
int are applied to them, in that order). If all values in the operation are integers, the result
will be an integer.
% number number
Returns the integral modulus (i.e., remainder) of the first argument with respect to the second.
Each number must have an integral value. Also, the sign of the result will be the same as the
sign of the second number, which must not be zero.
Note that Tcl defines this operation exactly even for negative numbers, so that the following
command returns a true value (omitting the namespace for clarity):
== [* [/ x y] y] [- x [% x y]]
** ?number ...?
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 “** 2 3 4” is the same as “** 2 [** 3 4]”.
Each number may be any numeric value, though the second number must not be fractional if the first
is negative. If no arguments are given, the result will be one, and if only one argument is given,
the result will be that argument. The result will have an integral value only when all arguments
are integral values.
COMPARISON OPERATORS
The behaviors of the comparison operator commands (most of which operate preferentially on numeric
arguments) are as follows:
== ?arg ...?
Returns whether each argument is equal to the arguments on each side of it in the sense of the
expr == operator (i.e., numeric comparison if possible, exact string comparison otherwise). If
fewer than two arguments are given, this operation always returns a true value.
eq ?arg ...?
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.
!= arg arg
Returns whether the two arguments are not equal to each other, in the sense of the expr !=
operator (i.e., numeric comparison if possible, exact string comparison otherwise).
ne arg arg
Returns whether the two arguments are not equal to each other using exact string comparison.
< ?arg ...?
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, and are otherwise performed using UNICODE string comparison. If fewer than two
arguments are present, this operation always returns a true value. When the arguments are numeric
but should be compared as strings, the string compare command should be used instead.
<= ?arg ...?
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, and are otherwise performed using UNICODE string comparison. If fewer than
two arguments are present, this operation always returns a true value. When the arguments are
numeric but should be compared as strings, the string compare command should be used instead.
> ?arg ...?
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, and are otherwise performed using UNICODE string comparison. If fewer than two
arguments are present, this operation always returns a true value. When the arguments are numeric
but should be compared as strings, the string compare command should be used instead.
>= ?arg ...?
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, and are otherwise performed using UNICODE string comparison. If fewer than
two arguments are present, this operation always returns a true value. When the arguments are
numeric but should be compared as strings, the string compare command should be used instead.
BIT-WISE OPERATORS
The behaviors of the bit-wise operator commands (all of which only operate on integral arguments) are as
follows:
~ number
Returns the bit-wise negation of number. Number may be an integer of any size. Note that the
result of this operation will always have the opposite sign to the input number.
& ?number ...?
Returns the bit-wise AND of each of the arbitrarily many arguments. Each number must have an
integral value. If no arguments are given, the result will be minus one.
| ?number ...?
Returns the bit-wise OR of each of the arbitrarily many arguments. Each number must have an
integral value. If no arguments are given, the result will be zero.
^ ?number ...?
Returns the bit-wise XOR of each of the arbitrarily many arguments. Each number must have an
integral value. If no arguments are given, the result will be zero.
<< number number
Returns the result of bit-wise shifting the first argument left by the number of bits specified in
the second argument. Each number must have an integral value.
>> number number
Returns the result of bit-wise shifting the first argument right by the number of bits specified
in the second argument. Each number must have an integral value.
LIST OPERATORS
The behaviors of the list-oriented operator commands are as follows:
in arg list
Returns whether the value arg is present in the list list (according to exact string comparison of
elements).
ni arg list
Returns whether the value arg is not present in the list list (according to exact string
comparison of elements).
EXAMPLES
The simplest way to use the operators is often by using namespace path to make the commands available.
This has the advantage of not affecting the set of commands defined by the current namespace.
namespace path {::tcl::mathop ::tcl::mathfunc}
# Compute the sum of some numbers
set sum [+ 1 2 3]
# Compute the average of a list
set list {1 2 3 4 5 6}
set mean [/ [+ {*}$list] [double [llength $list]]]
# Test for list membership
set gotIt [in 3 $list]
# Test to see if a value is within some defined range
set inRange [<= 1 $x 5]
# Test to see if a list is sorted
set sorted [<= {*}$list]
SEE ALSO
expr(3tcl), mathfunc(3tcl), namespace(3tcl)
KEYWORDS
command, expression, operator