[expr] bit-wise "or" operator Arguments must be integers, result is an integer. Bit ''n'' of the result is 0 if bit ''n'' of each argument is 0. Otherwise, bit ''n'' of the result is 1. For negative arguments, observe that ~$n==(-1-n) (See the [~] operator for further discussion.) The following cases then exist: Case Result --------------------------------------------------------------------------- $a>=0, $b>=0 $a|$b, as defined above. $a>=0, $b<0 $a|$b == ~(~$a & ~$b) De Morgan's Law == ~(~$a & (-1-$b)) Extended definition of [~] == -1-(~$a & (-1-$b)) Extended definition of [~] The expression (-1-$b) is nonnegative, and so the expression (~$a & (-1-$b)) can be evaluated by bitwise operations. $a<0, $b>=0 Commute to ($b | $a) and solve as above. $a<0, $b<0 $a|$b == ~(~$a & ~$b) De Morgan's Law == -1-((-1-$a) & (-1-$b)) Extended definition of [~] Since (-1-$a) and (-1-$b) are both nonnegative, the & in the expression above can be evaluated wuth bitwise operations. !!!!!! %|[Category Syntax]|% !!!!!!