exact-integer-sqrt -- r7rs Definition

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Kind

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procedure;

Implemented by

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• exact-integer-sqrt (from vonuvoli);

Procedure signature

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Procedure variants:

• ((exact-integer-zero) -> (exact-integer-zero exact-integer-zero))
  • input: a value of type exact-integer-zero;
  • outputs:
    • a value of type exact-integer-zero;
    • a value of type exact-integer-zero;
• ((exact-integer-positive) -> (exact-integer-positive exact-integer-positive-or-zero))
  • input: a value of type exact-integer-positive;
  • outputs:
    • a value of type exact-integer-positive;
    • a value of type exact-integer-positive-or-zero;

Exports

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• scheme:base -- (scheme base);

Exports recursive

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• scheme -- (scheme);

Description

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(exact-integer-sqrt k)

Returns two non-negative exact integers s and r where k = s^2 + r and k < (s+1)^2.

(exact-integer-sqrt 4)  ===>  2 0
(exact-integer-sqrt 5)  ===>  2 1

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The text herein was sourced and adapted as described in the "R7RS attribution of various text snippets" appendix.

Referenced-types

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• exact-integer-zero;
• exact-integer-positive;
• exact-integer-positive-or-zero;