Jan Burse, erstellt 15. Sep 2018
* We provide bitwise operations defined on integers. They are not
* defined for floats or decimals. The bitwise operations work for
* negative and positive integers including zero. They also work for
* unbounded integers. The bit pattern that corresponds to an integer
* can be viewed as infinitely extending to the left, for positive
* integers and zero by 0’s and for negative integers by 1’s. The
* bitwise operations then work on the corresponding binary digits:
* -11 = …10101
* 2 = …010
* (-11) \/ 2 --> -9 = …10111
* (-11) /\ 2 --> 0 = …0
* (-11) >> 2 --> -3 = …101
* (-11) << 2 --> -44 = …1010100
* \ (-11) --> 10 = …01010
* The displacements n in the shift operations are restricted to
* the range -2147483648 =< n =< 2147483647. When the displacement
* is outside this range an exception is thrown. A negative
* displacement shifts in the opposite direction.
* Warranty & Liability
* To the extent permitted by applicable law and unless explicitly
* otherwise agreed upon, XLOG Technologies GmbH makes no warranties
* regarding the provided information. XLOG Technologies GmbH assumes
* no liability that any problems might be solved with the information
* provided by XLOG Technologies GmbH.
* Rights & License
* All industrial property rights regarding the information - copyright
* and patent rights in particular - are the sole property of XLOG
* Technologies GmbH. If the company was not the originator of some
* excerpts, XLOG Technologies GmbH has at least obtained the right to
* reproduce, change and translate the information.
* Reproduction is restricted to the whole unaltered document. Reproduction
* of the information is only allowed for non-commercial uses. Selling,
* giving away or letting of the execution of the library is prohibited.
* The library can be distributed as part of your applications and libraries
* for execution provided this comment remains unchanged.
* Only to be distributed with programs that add significant and primary
* functionality to the library. Not to be distributed with additional
* software intended to replace any components of the library.
* Jekejeke is a registered trademark of XLOG Technologies GmbH.
* \ X: [ISO 9.4.5]
* If X is an integer then returns the bitwise complement of X.
% \ : integer -> integer
* X /\ Y: [ISO 9.4.3]
* If X and Y are both integers then the function returns the bitwise X and Y.
% /\ : integer x integer -> integer
* X \/ Y: [ISO 9.4.4]
* If X and Y are both integers then the function returns the bitwise X or Y.
% \/ : integer x integer -> integer
* X xor Y: [TC2 9.4.6]
* If X and Y are both integers then the function returns the bitwise exclusive X or Y.
% xor : integer x integer -> integer
* X << Y: [ISO 9.4.2]
* If X and Y are both integers then the function returns X shifted by Y places left.
% << : integer x integer -> integer
* X >> Y: [ISO 9.4.1]
* If X and Y are both integers then the function returns X shifted by Y places right.
% >> : integer x integer -> integer