ISO/IEC 10967, Language independent arithmetic (LIA), is a series of standards on computer arithmetic. It is compatible with IEC 60559 (more known as IEEE 754 or IEC 559), and indeed much of the specifications in parts 2 and 3 are for IEEE 754 special values (though such values are not required).
LIA currently consists of three parts:
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Part 1 deals with the basic integer and floating point datatypes, but unlike IEEE 754 not the representation of the values. Part 1 also deals with basic arithmetic, including comparisons, on values of such datatypes. The parameter iec_{559} is expected to be true for most implementations of LIA1.
Part 1 may be revised to become more in line with the specifications in parts 2 and 3.
Part 2 deals with some additional "basic" operations on integer and floating point datatype values, but focuses primarily on specfying requirements on numerical versions of elementary functions. Much of the specifications in LIA2 are inspired by the specifications in Ada for elementary functions.
Part 3 generalises parts 1 and 2 to deal with imaginary and complex datatypes and arithmetic and elementary functions on such values. Much of the specifications in LIA3 are inspired by the specifications for imaginary and complex datatypes and operations in C, Ada and Common Lisp.
Each of the parts provide suggested bindings for a number of programming languages. These are not part of the LIA standards, just suggestions, and are not complete. Authors of a programming language standard may wish to alter the suggestions before any incorporation in the programming language standard.
Currently (2005) the standards for C, C++, and Modula2 have partial bindings to LIA1.
