Hardware Support For Multivariable Floating Point Function Generation  

Oleh:

O’Grady, E. Pearse ; Young, Baek-Kyu

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: Simulation vol. 72 no. 6 (Jun. 1996), page 384-390.
Topik: Floating point computation; function generation; table-lookup
Fulltext: 384.pdf (675.18KB)

Isi artikel

A method suited for hardware implementation assists in evaluating a multivariable, floating-point function F(X,Y,...Z) defined on an N-dimensional rectangular grid. A preprocessing stage analyzes the function’s breakpoints for each dimension. It determines a subinterval range that includes the breakpoint range for that dimension and subdivides the subinterval range into equal-sized subintervals in a procedure that enables easy identification of the breakpoint interval containing a subinterval. The method’s run-time stage processes the N components of the input argument in parallel to identify the N-dimensional rectangular cell containing the input argument. At run time, two additions and a multiplication convert each component of the input argument to an index identifying the subintervat containing it. Then two table lookups identify the breakpoint interval containing the subinterval. An implementation of a two-variable function generator that uses bilinear interpolation is sketched to illustrate application of the cell-identification method.

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