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Thank you
Michel
for citing this document! I just forgot it in the list of my mail of June 28. There are other documents available discussing these operations together with interval arithmetic. I just copy the citation from my book: [714] IBM, ACRITH–XSC: IBM High Accuracy Arithmetic – Extended Scientific Computation. Version 1, Release 1, IBM Deutschland GmbH (Department 3282, Schönaicher Strasse 220, D-71032 Böblingen), 1990. 1. General Information, GC33-6461-01. 2. Reference, SC33-6462-00. 3. Sample Programs, SC33-6463-00. 4. How To Use, SC33-6464-00. 5. Syntax Diagrams, SC33-6466-00. Best regards Ulrich Am 03.07.2013 01:57, schrieb Michel Hack: Hong Diep Nguyen wrote:Scheme (1) assumes there is an operation that adds/subtracts long accumulators.The S/370 implementation did have these operations. The spare bits at the top (that permit long sums to be accumulated) also allow many long-accumulator sums to be performed without overflow. Reference: High Accuracy Arithmetic, IBM publication SA22-7093 (1984) Michel. ---Sent: 2013-07-03 00:02:35 UTC -- Karlsruher Institut für Technologie (KIT) Institut für Angewandte und Numerische Mathematik D-76128 Karlsruhe, Germany Prof. Ulrich Kulisch Telefon: +49 721 608-42680 Fax: +49 721 608-46679 E-Mail: ulrich.kulisch@xxxxxxx www.kit.edu www.math.kit.edu/ianm2/~kulisch/ KIT - Universität des Landes Baden-Württemberg und nationales Großforschungszentrum in der Helmholtz-Gesellschaft |