Fast IEEE double precision reciprocals and square roots

Details Fast IEEE double precision reciprocals and square roots Fast IEEE double precision reciprocals and square roots

1993-04-23

1994-04-19

Mai, Tan V.

Boots, shoes, and leggings

364735, 364752, G06F 738

Patent

active

053052480

ABSTRACT:
A method and apparatus implement reciprocal and square root calculations using Chebyshev polynomial approximation by scaling the mantissas of IEEE floating point numbers based on splitting them into intervals, thereby allowing Chebyshev polynomials of few terms to approximate each interval and resulting in high performance. A reciprocal or square root operation is implemented in a floating point unit (FPU) of a computer having a pipelined multiply accumulate function using a Chebyshev polynomial approximation. A plurality of Chebyshev coefficients are stored in read only storage. Mantissas m of floating point numbers are scaled based on splitting the mantissas into 2.sup.n intervals i as:

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