2003 · 33 citations · 9 references
Numerical AnalysisQuadruple Precision ArithmeticQuadruple PrecisionEngineeringDouble Precision MultiplicationsComputer ArchitectureParallel ImplementationValidated NumericsParallel ComputingMassively-parallel ComputingReal Data TypePrecision MeasurementComputer EngineeringComputer ScienceHardware AccelerationParallel ProcessingParallel ProgrammingQuadruple Precision MultiplicationData-level Parallelism
Double precision floating-point arithmetic is inadequate for many scientific computations. This paper presents the design of a quadruple precision floating-point multiplier that also supports two parallel double precision multiplications. Since hardware support for quadruple precision arithmetic is expensive, a new technique is presented that requires much less hardware than a fully parallel quadruple precision multiplier. With this implementation, quadruple precision multiplication has a latency of three cycles and two parallel double precision multiplications have a latency of only two cycles. The design is pipelined so that two double precision multiplications can be started every cycle or a quadruple precision multiplication can be started every other cycle.
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IEEE Standard for Binary Floating Point Arithmetic
Ansi Ieee · Medical Entomology and Zoology · 1985 · 887 citations
Rounding algorithms for IEEE multipliers
Mark R Santoro, G. Bewick, Mark Horowitz · 2003 · 79 citations
Mathematical Programming, Numerical Analysis, Real Data Type +15