Device and method for evaluating exponentials

Boots – shoes – and leggings

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G06F 738

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active

051777029

ABSTRACT:
A method and apparatus are described for processing an input value to provide an output exponential value of a desired base raised to the power of the input value. The method includes, and the apparatus included hardware for implementing, the steps of adjusting the input value relative to the input value, a predetermined base of a first exponential value, and the desired base of the output exponential value to obtain a first scaled value, modifying the scaled value to obtain an approximation value, determining the first exponential value of the approximation value, generating an adjusted error value relative to the first scaled value, the approximation value, and a logarithm of the predetermined base of the first exponential value, determining a correction value for the first exponential value and combining the first exponential value with the correction value to obtain, substantially, the output exponential value having the desired base raised to the power of the input value.

REFERENCES:
patent: 3631230 (1971-12-01), Chen
patent: 4158889 (1979-06-01), Monden
patent: 4225933 (1980-09-01), Monden
patent: 4410956 (1983-10-01), Yoshida
T. C. Chen, "Efficient Arithmetic Apparatus and Method", IBM Technical Disclosure Bulletin, vol. 14, No. 1, Jun. 1971 pp. 328-330.
Walther, "A Unified Algorithm for Elementary Functions", Spring Joint Computer Conference, 1971, pp. 379-385.
Volder, "The Cordic Trigonometric Computer Technique" IRE Transactions on Electronic Computers, Sep. 1959, pp. 330-334.

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