ISO/IEC 10967

ISO/IEC 10967, Language independent arithmetic (LIA), is a series of standards on computer arithmetic. It is compatible with ISO/IEC/IEEE 60559:2011, more known as IEEE 754-2008, and indeed much of the specifications are for IEEE 754 special values (though such values are not required by LIA itself, unless the parameter iec₅₅₉ is true).

LIA currently consists of three parts:

Part 1: Integer and floating point arithmetic, second edition published 2012.
Part 2: Elementary numerical functions, first edition published 2001.
Part 3: Complex integer and floating point arithmetic and complex elementary numerical functions, first edition published 2006.

Parts

Part 1

Part 1 deals with the basic integer and floating point datatypes (for multiple radices, including 2 and 10), but unlike IEEE 754-2008 not the representation of the values. Part 1 also deals with basic arithmetic, including comparisons, on values of such datatypes. The parameter iec₅₅₉ is expected to be true for most implementations of LIA-1.

Part 1 was revised, to the second edition, to become more in line with the specifications in parts 2 and 3.

Part 2

Part 2 deals with some additional "basic" operations on integer and floating point datatype values, but focuses primarily on specifying requirements on numerical versions of elementary functions. Much of the specifications in LIA-2 are inspired by the specifications in Ada for elementary functions.

Part 3

Part 3 generalizes parts 1 and 2 to deal with imaginary and complex datatypes and arithmetic and elementary functions on such values. Much of the specifications in LIA-3 are inspired by the specifications for imaginary and complex datatypes and operations in C, Ada and Common Lisp.

Bindings

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 (2013) the standards for C, C++, and Modula-2 have partial bindings to LIA-1.

External links

ISO/IEC 10967-1:2012, complete text of Part 1: Integer and floating point arithmetic.
ISO/IEC 10967-2:2001, complete text of Part 2: Elementary numerical functions.
ISO/IEC 10967-3:2006, complete text of Part 3: Complex integer and floating point arithmetic and complex elementary numerical functions.

ISO standards by standard number

List of ISO standards / ISO romanizations / IEC standards

1–9999	1 2 3 4 5 6 7 9 16 31 -0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 128 216 217 226 228 233 259 269 302 306 428 518 519 639 -1 -2 -3 -5 -6 646 690 732 764 843 898 965 1000 1004 1007 1073-1 1413 1538 1745 1989 2014 2015 2022 2047 2108 2145 2146 2240 2281 2709 2711 2788 2852 3029 3103 3166 -1 -2 -3 3297 3307 3602 3864 3901 3977 4031 4157 4217 4909 5218 5428 5775 5776 5800 5964 6166 6344 6346 6385 6425 6429 6438 6523 6709 7001 7002 7098 7185 7200 7498 7736 7810 7811 7812 7813 7816 8000 8178 8217 8571 8583 8601 8632 8652 8691 8807 8820-5 8859 -1 -2 -3 -4 -5 -6 -7 -8 -8-I -9 -10 -11 -12 -13 -14 -15 -16 8879 9000/9001 9075 9126 9293 9241 9362 9407 9506 9529 9564 9594 9660 9897 9899 9945 9984 9985 9995

10000–19999	10005 10006 10007 10116 10118-3 10160 10161 10165 10179 10206 10218 10303 -11 -21 -22 -28 -238 10383 10487 10585 10589 10646 10664 10746 10861 10957 10962 10967 11073 11170 11179 11404 11544 11783 11784 11785 11801 11898 11940 (-2) 11941 11941 (TR) 11992 12006 12182 12207 12234-2 13211 -1 -2 13216 13250 13399 13406-2 13450 13485 13490 13567 13568 13584 13616 14000 14031 14224 14289 14396 14443 14496 -2 -3 -6 -10 -11 -12 -14 -17 -20 14644 14649 14651 14698 14750 14764 14882 14971 15022 15189 15288 15291 15292 15398 15408 15444 -3 15445 15438 15504 15511 15686 15693 15706 -2 15707 15897 15919 15924 15926 15926 WIP 15930 16023 16262 16612-2 16750 16949 (TS) 17024 17025 17203 17369 17442 17799 18000 18004 18014 18245 18629 18916 19005 19011 19092 (-1 -2) 19114 19115 19125 19136 19439 19500 19501 19502 19503 19505 19506 19507 19508 19509 19510 19600:2014 19752 19757 19770 19775-1 19794-5 19831

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