On Basic Financial Decimal Operations on Binary Machines
Periodicals（2012）
摘要
AbstractFinancial transactions are specified in decimal arithmetic. Until the introduction of IEEE 754-2008, specialized software/hardware routines were used to perform these transactions but it incurred a penalty on performance. In this paper, we show that if binary arithmetic is used to emulate decimal operations, then arbitrary error sequences can be generated by carefully chosen sequences of transactions which can lead to monotonically increasing/decreasing capitalization errors. In addition, we describe methods for correctly performing basic decimal operations, such as addition, subtraction, multiplication, and division, on binary machines, which are not conformant with IEEE 754-2008 decimal floating point standard (ISO/IEC/IEEE 60559:2011), at high speed.
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关键词
binary arithmetics,financial transactions,capitalization errors,hardware routine,ieee 754-2008 decimal floating point standard,basic decimal operation,capitalization error,financial data processing,financial decimal operations,decimal operations,binary machines,decimal floating point standard,transaction processing,computer arithmetic.,binary arithmetic,arbitrary error sequences,binary machine,financial transaction,decimal operation,floating-point arithmetic,arbitrary error sequence,basic financial decimal operations,decimal arithmetics,ieee standards,software-hardware routines,ieee 754 standards,decimal arithmetic,floating point arithmetic,mathematical model,hardware,decimal floating point
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