Jan Burse, erstellt 17. Aug 2019
* The arithmetic comparisons are more flexible than the lexical
* comparisons. They are defined for integers, floats and decimals.
* For decimals comparison across scales is supported. The same
* widening as already defined for the basic operations applies as well:
* 1 < 2
* 1.0 < 2.0
* 0d1.00D < 2
* 1 =:= 0d1.00
* We also provide evaluable functions min/2 and max/2. These functions are
* based on the aforementioned arithmetic comparison. The type of the return
* value depends on the order of the arguments of these evaluable functions.
* min, max: integer x integer -> integer
* min, max: float x float -> float
* min, max: decimal x decimal -> decimal
* epsilon: float
* The constant epsilon allows querying the smallest float number that when
* added to one will still result in a float number different from one
* without any rounding.
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* no liability that any problems might be solved with the information
* provided by XLOG Technologies GmbH.
* Rights & License
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* 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
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* 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 =:= Y: [ISO 8.7.1]
* Succeeds when X arithmetically equals Y, otherwise fails.
% +Expr =:= +Expr
* X =\= Y: [ISO 8.7.1]
* Succeeds when X does not arithmetically equal Y, otherwise fails.
% +Expr =\= +Expr
* X < Y: [ISO 8.7.1]
* Succeeds when X is arithmetically less than Y, otherwise fails.
% +Expr < +Expr
* X =< Y: [ISO 8.7.1]
* Succeeds when X is arithmetically less or equal to Y, otherwise fails.
% +Expr =< +Expr
* X > Y: [ISO 8.7.1]
* Succeeds when X is arithmetically greater than Y, otherwise fails.
% +Expr > +Expr
% already defined in member.p
* X >= Y: [ISO 8.7.1]
* Succeeds when X is arithmetically greater or equal to Y, otherwise fails.
% +Expr >= +Expr
* min(X, Y): [TC2 9.3.9]
* If X and Y are both numbers then the function returns the minimum of X and Y.
% min: integer x integer -> integer
% min: float x float -> float
% min: decimal x decimal -> decimal
* max(X, Y): [TC2 9.3.8]
* If X and Y are both numbers then the function returns the maximum of X and Y.
% max: integer x integer -> integer
% max: float x float -> float
% max: decimal x decimal -> decimal
* epsilon: [N208 9.7.3]
* Returns the ulp of 64-bit one.
% :- foreign_const(epsilon/1, 'SpecialCompare', 'EPSILON').
* Returns the ulp of 32-bit one.
% :- foreign_const(epsilon32/1, 'SpecialCompare', 'EPSILON32').