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Название: Extended-range arithmetic and normalized Legendre polynomials
Авторы: Smith J.M., Olver F.W.J., Lozier D.W.
An algorithm is presented for the computation of normalized Legendre polynomials. In order to permit wide ranges of argument, degree, and order of these functions, an "extended-range" arithmetic is introduced whereby a separate storage location is allocated to the exponent of a floating-point number. Since this device may have other applications, separate subroutines are developed for addition of extended-range numbers and also for conversion to and from ordinary floating-point form.