Common Lisp Nova Spec → 12. Numbers → 12.2 Numbers Dictionary → short-float-epsilon, short-float-negative-epsilon, single-float-epsilon, single-float-negative-epsilon, double-float-epsilon, double-float-negative-epsilon, long-float-epsilon, long-float-negative-epsilon
Apropos
short-float-epsilon, short-float-negative-epsilon, single-float-epsilon, single-float-negative-epsilon, double-float-epsilon, double-float-negative-epsilon, long-float-epsilon, long-float-negative-epsilonConstant Variable
    Constant Value

    implementation-dependent.

    Description

    The value of each of the constants short-float-epsilon, single-float-epsilon, double-float-epsilon, and long-float-epsilon is the smallest positive float ϵ of the given format, such that the following expression is true when evaluated:

    (not (= (float 1 ϵ) (+ (float 1 ϵ) ϵ)))

    The value of each of the constants short-float-negative-epsilon, single-float-negative-epsilon, double-float-negative-epsilon, and long-float-negative-epsilon is the smallest positive float ϵ of the given format, such that the following expression is true when evaluated:

    (not (= (float 1 ϵ) (- (float 1 ϵ) ϵ)))

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