Arithmetic unit and operating method

Details Arithmetic unit and operating method Arithmetic unit and operating method

1998-04-06

2000-10-03

Mai, Tan V.

Electrical computers: arithmetic processing and calculating

Electrical digital calculating computer

Particular function performed

G06F 738

Patent

active

061286370

ABSTRACT:
Methods and systems consistent with the present invention provide an arithmetic unit, which uses a high speed yet small circuit, using a highly precise method for numerical interpolation that uses Newton-Raphson method.
A table for referencing sampling values and operation results is stored successively and alternately in two simultaneously accessible memories 422, 423. A table reference address determining portion 4211 takes the table reference address from the input B. The access control circuit 4212 prepares an address for accessing each memory from the table reference address and reads table values. The interpolation operating portion 4213 interpolates the table value at a precision of half the final precision. The Newton-Raphson operation 4214 performs the Newton-Raphson operation once with the primary interpolated numerical value as the initial value and attains the calculation results with the final precision by precise square convergence.

REFERENCES:
patent: 5157624 (1992-10-01), Hesson
patent: 5220524 (1993-06-01), Hesson
patent: 5768171 (1998-06-01), Chow
patent: 5862059 (1999-01-01), Matula et al.
Hennessy, et al., Computer Architecture: A Quantitative Approach, 1993. pp. 648-653.
Hwang, Kai, Computer Arithmetic Principles, Architecture, and Design, 1979, pp. 302-307.

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