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FUNCTIONAL PEARL: Enumerating the rationals

Published online by Cambridge University Press:  25 October 2016

JEREMY GIBBONS ,
DAVID LESTER  and
RICHARD BIRD
JEREMY GIBBONS
Affiliation:
University of Oxford, Parks Road, Oxford, UKjeremy.gibbons@comlab.ox.ac.uk, richard.bird@comlab.ox.ac.uk
DAVID LESTER
Affiliation:
University of Manchester, Manchester, UKdlester@cs.man.ac.uk
RICHARD BIRD
Affiliation:
University of Oxford, Parks Road, Oxford, UKjeremy.gibbons@comlab.ox.ac.uk, richard.bird@comlab.ox.ac.uk
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Every lazy functional programmer knows about the following approach to enumerating the positive rationals: generate a two-dimensional matrix (an infinite list of infinite lists), then traverse its finite diagonals (an infinite list of finite lists).

Type
Functional Pearls
Information
Journal of Functional Programming , Volume 16 , Issue 3 , May 2006 , pp. 281 - 291
Copyright
2006 Cambridge University Press
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