

! 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 nonzero).  
+ ?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 of the first argument with respect to the second.
Each number must have an integral value. Note that Tcl defines this
operation exactly even for negative numbers, so that the following equality
holds true:
 
** ?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.  
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 arbitrarilymany 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 arbitrarilymany 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 arbitrarilymany 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 arbitrarilymany 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.
The behaviors of the bitwise operator commands (all of which only operate on integral arguments) are as follows:
~ number Returns the bitwise 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 bitwise 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 bitwise 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..TP ^ ?number ...? Returns the bitwise 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 bitwise 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 bitwise shifting the first argument right by the number of bits specified in the second argument. Each number must have an integral value.
The behaviors of the listoriented 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).
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]
expr(n), mathfunc(n), namespace(n)
command, expression, operator
Tcl  MATHOP (n)  8.5 
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