Version 20 of **

Updated 2009-05-28 11:19:41 by LV

expr "raise to power" operator, similar to pow function

Returns an integer value if both arguments are integers, and double-precision floating-point otherwise.

The left operand may be any integer from Tcl's unlimited integer range.

The right operand is limited to a max integer value of 268435455 (0xfffffff) (28 bits). (Unless the left operand is -1, 0, or 1, so that the answer is trivial).

Expect to wait a long while for [expr 2**0xfffffff] to return.


Precedence

During early 2009, a thread broke out in the comp.lang.tcl usenet group discussing the observation that Tcl's calculation for

puts [expr {-2**2}]

surprised someone who was expecting that to mean

puts [expr {-(2**2)}

while Tcl's operator precedence rules cause it to mean

puts [expr {(-2)**2}

What this does mean is that it is consistently possible to interpret -2 as minus two; no other operators around can change the interpretation.

It also means the answer you get will be different than most, if not all, other computer programming languages.


From comp.lang.tcl:

In math:

a**0 == 1, a != 0, and 
0**a == 0, a != 0. 
0**0 is an indeterminant 

In Tcl (8.5.7):

expr {0**0} => 1 

Here is an interesting example which tests the precedence of ** and - and demonstrates the right to left application of **:

expr {2**-2**2} => 16 

Force delayed application of -:

expr {2.0**-(2**2)} => .0625 

Force left to right exponentiation:

expr {(2.0**-2)**2} => .0625 

Unambiguous:

expr {(2.0)**((-2)**2)} => 16