Low-Power Multiple-Precision Iterative Floating-Point Multiplier with SIMD Support

2009 ◽  
Vol 58 (2) ◽  
pp. 175-187 ◽  
Author(s):  
Dimitri Tan ◽  
Carl E. Lemonds ◽  
Michael J. Schulte
2020 ◽  
Author(s):  
Konstantin Isupov ◽  
Vladimir Knyazkov

The binary32 and binary64 floating-point formats provide good performance on current hardware, but also introduce a rounding error in almost every arithmetic operation. Consequently, the accumulation of rounding errors in large computations can cause accuracy issues. One way to prevent these issues is to use multiple-precision floating-point arithmetic. This preprint, submitted to Russian Supercomputing Days 2020, presents a new library of basic linear algebra operations with multiple precision for graphics processing units. The library is written in CUDA C/C++ and uses the residue number system to represent multiple-precision significands of floating-point numbers. The supported data types, memory layout, and main features of the library are considered. Experimental results are presented showing the performance of the library.


Author(s):  
Fabio Montagna ◽  
Stefan Mach ◽  
Simone Benatti ◽  
Angelo Garofalo ◽  
Gianmarco Ottavi ◽  
...  

Author(s):  
J. Vijay Kumar ◽  
B. Naga Raju ◽  
M. Vasu Babu ◽  
T. Ramanjappa

This article represents the implementation of low power pipelined 64-bit RISC processor on Altera MAXV CPLD device.  The design is verified for arithmetic operations of both fixed and floating point numbers, branch and logical function of RISC processor. For all the jump instruction, the processor architecture will automatically flush the data in the pipeline, so as to avoid any misbehavior. This processor contains FPU unit, which supports double precision IEEE-754 format operations very accurately. The simulation results have been verified by using ModelSim software. The ALU operations and double precision floating point arithmetic operation results are displayed on 7-Segments. The necessary code is written in Verilog HDL.


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