(in-package :cl-user) ;;; (let ((floats `(1f0 1f6 1f-6 ,least-positive-normalized-single-float ,least-positive-single-float))) (prove:plan (length floats)) (dolist (float floats) (multiple-value-bind (quotient exponent sign) (decode-float float) (let ((radix (float-radix float))) (let ((lower (/ 1 radix))) (prove:ok (and (< quotient 1) (>= quotient lower)) (format nil "Whether ~a lies within (1 ~a]" quotient lower))))))) ;;; (let ((floats `(,least-positive-normalized-double-float ,(/ least-positive-normalized-double-float 2) ,(/ least-positive-normalized-double-float 4) ,(/ least-positive-normalized-double-float 8) ,(/ least-positive-normalized-double-float 16) ,(/ least-positive-normalized-double-float 1024)))) (prove:plan (length floats)) (dolist (float floats) (multiple-value-bind (quotient exponent sign) (decode-float float) (let ((radix (float-radix float))) (let ((lower (/ 1 radix))) (prove:ok (and (< quotient 1) (>= quotient lower)) (format nil "Whether ~a lies within (1 ~a]" quotient lower))))))) ;;; (let ((floats `(1d0 ,most-positive-double-float ,least-positive-double-float))) (prove:plan (* 2 (length floats))) (dolist (float floats) (prove:is-type float 'double-float) (let ((result (decode-float float))) (prove:is-type result 'double-float)))) ;; From the REPL, I don't get a signaled condition, but these tests succeed… (let ((infinities '(single-float-positive-infinity single-float-negative-infinity double-float-positive-infinity double-float-negative-infinity))) (prove:plan (length infinities)) (dolist (infinity infinities) (prove:is-error (decode-float infinity) 'error (format nil "Attempting to DECODE-FLOAT ~a should signal error" infinity)))) (let ((floats `(1f0 1d0 1f6 1d6 1f-6 1d-6 ,least-positive-normalized-single-float ,least-positive-single-float ,least-positive-normalized-double-float ,least-positive-double-float))) (prove:plan (length floats)) (dolist (float floats) (multiple-value-bind (significand exponent sign) (integer-decode-float float) (prove:is (coerce (* significand (expt 2 exponent)) (type-of float)) float (format nil "INTEGER-DECODE-FLOAT roundtrips for ~s" float))))) (prove:finalize)