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354 lines
16 KiB
Scheme
354 lines
16 KiB
Scheme
;;;; bit-operations.test --- bitwise operations on numbers -*- scheme -*-
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;;;; Copyright (C) 2000, 2001 Free Software Foundation, Inc.
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;;;;
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;;;; This program is free software; you can redistribute it and/or modify
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;;;; it under the terms of the GNU General Public License as published by
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;;;; the Free Software Foundation; either version 2, or (at your option)
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;;;; any later version.
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;;;;
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;;;; This program is distributed in the hope that it will be useful,
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;;;; but WITHOUT ANY WARRANTY; without even the implied warranty of
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;;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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;;;; GNU General Public License for more details.
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;;;;
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;;;; You should have received a copy of the GNU General Public License
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;;;; along with this software; see the file COPYING. If not, write to
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;;;; the Free Software Foundation, Inc., 59 Temple Place, Suite 330,
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;;;; Boston, MA 02111-1307 USA
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;;;;
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;;;; As a special exception, the Free Software Foundation gives permission
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;;;; for additional uses of the text contained in its release of GUILE.
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;;;;
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;;;; The exception is that, if you link the GUILE library with other files
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;;;; to produce an executable, this does not by itself cause the
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;;;; resulting executable to be covered by the GNU General Public License.
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;;;; Your use of that executable is in no way restricted on account of
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;;;; linking the GUILE library code into it.
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;;;;
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;;;; This exception does not however invalidate any other reasons why
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;;;; the executable file might be covered by the GNU General Public License.
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;;;;
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;;;; This exception applies only to the code released by the
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;;;; Free Software Foundation under the name GUILE. If you copy
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;;;; code from other Free Software Foundation releases into a copy of
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;;;; GUILE, as the General Public License permits, the exception does
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;;;; not apply to the code that you add in this way. To avoid misleading
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;;;; anyone as to the status of such modified files, you must delete
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;;;; this exception notice from them.
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;;;;
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;;;; If you write modifications of your own for GUILE, it is your choice
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;;;; whether to permit this exception to apply to your modifications.
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;;;; If you do not wish that, delete this exception notice.
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(use-modules (ice-9 documentation))
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;;;
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;;; miscellaneous
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;;;
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(define (run-tests name-proc test-proc arg-sets)
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(for-each
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(lambda (arg-set)
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(pass-if (apply name-proc arg-set)
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(apply test-proc arg-set)))
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arg-sets))
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(define (documented? object)
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(not (not (object-documentation object))))
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(define fixnum-bit
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(inexact->exact (+ (/ (log (+ most-positive-fixnum 1)) (log 2)) 1)))
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(define fixnum-min most-negative-fixnum)
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(define fixnum-max most-positive-fixnum)
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(with-test-prefix "bit-extract"
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(pass-if "documented?"
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(documented? bit-extract))
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(with-test-prefix "extract from zero"
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(run-tests
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(lambda (a b c d)
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(string-append "single bit " (number->string b)))
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(lambda (a b c d)
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(= (bit-extract a b c) d))
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(list
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(list 0 0 1 0)
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(list 0 1 2 0)
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(list 0 (+ fixnum-bit -2) (+ fixnum-bit -1) 0)
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(list 0 (+ fixnum-bit -1) (+ fixnum-bit 0) 0)
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(list 0 (+ fixnum-bit 0) (+ fixnum-bit 1) 0)
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(list 0 (+ fixnum-bit 1) (+ fixnum-bit 2) 0)))
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(run-tests
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(lambda (a b c d)
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(string-append "fixnum-bit - 1 bits starting at " (number->string b)))
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(lambda (a b c d)
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(= (bit-extract a b c) d))
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(list
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(list 0 0 (+ fixnum-bit -1) 0)
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(list 0 1 (+ fixnum-bit 0) 0)
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(list 0 2 (+ fixnum-bit 1) 0)
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(list 0 (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -3) 0)
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(list 0 (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit -2) 0)
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(list 0 (+ fixnum-bit 0) (+ fixnum-bit fixnum-bit -1) 0)
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(list 0 (+ fixnum-bit 1) (+ fixnum-bit fixnum-bit 0) 0)))
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(run-tests
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(lambda (a b c d)
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(string-append "fixnum-bit bits starting at " (number->string b)))
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(lambda (a b c d)
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(= (bit-extract a b c) d))
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(list
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(list 0 0 (+ fixnum-bit 0) 0)
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(list 0 1 (+ fixnum-bit 1) 0)
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(list 0 2 (+ fixnum-bit 2) 0)
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(list 0 (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -2) 0)
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(list 0 (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit -1) 0)
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(list 0 (+ fixnum-bit 0) (+ fixnum-bit fixnum-bit 0) 0)
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(list 0 (+ fixnum-bit 1) (+ fixnum-bit fixnum-bit 1) 0)))
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(run-tests
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(lambda (a b c d)
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(string-append "fixnum-bit + 1 bits starting at " (number->string b)))
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(lambda (a b c d)
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(= (bit-extract a b c) d))
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(list
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(list 0 0 (+ fixnum-bit 1) 0)
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(list 0 1 (+ fixnum-bit 2) 0)
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(list 0 2 (+ fixnum-bit 3) 0)
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(list 0 (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -1) 0)
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(list 0 (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit 0) 0)
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(list 0 (+ fixnum-bit 0) (+ fixnum-bit fixnum-bit 1) 0)
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(list 0 (+ fixnum-bit 1) (+ fixnum-bit fixnum-bit 2) 0))))
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(with-test-prefix "extract from fixnum-max"
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(run-tests
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(lambda (a b c d)
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(string-append "single bit " (number->string b)))
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(lambda (a b c d)
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(= (bit-extract a b c) d))
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(list
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(list fixnum-max 0 1 1)
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(list fixnum-max 1 2 1)
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(list fixnum-max (+ fixnum-bit -2) (+ fixnum-bit -1) 1)
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(list fixnum-max (+ fixnum-bit -1) (+ fixnum-bit 0) 0)
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(list fixnum-max (+ fixnum-bit 0) (+ fixnum-bit 1) 0)
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(list fixnum-max (+ fixnum-bit 1) (+ fixnum-bit 2) 0)))
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(run-tests
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(lambda (a b c d)
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(string-append "fixnum-bit - 1 bits starting at " (number->string b)))
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(lambda (a b c d)
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(= (bit-extract a b c) d))
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(list
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(list fixnum-max 0 (+ fixnum-bit -1) (ash fixnum-max 0))
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(list fixnum-max 1 (+ fixnum-bit 0) (ash fixnum-max -1))
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(list fixnum-max 2 (+ fixnum-bit 1) (ash fixnum-max -2))
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(list fixnum-max (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -3) 1)
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(list fixnum-max (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit -2) 0)
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(list fixnum-max (+ fixnum-bit 0) (+ fixnum-bit fixnum-bit -1) 0)
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(list fixnum-max (+ fixnum-bit 1) (+ fixnum-bit fixnum-bit 0) 0)))
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(run-tests
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(lambda (a b c d)
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(string-append "fixnum-bit bits starting at " (number->string b)))
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(lambda (a b c d)
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(= (bit-extract a b c) d))
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(list
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(list fixnum-max 0 (+ fixnum-bit 0) (ash fixnum-max 0))
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(list fixnum-max 1 (+ fixnum-bit 1) (ash fixnum-max -1))
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(list fixnum-max 2 (+ fixnum-bit 2) (ash fixnum-max -2))
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(list fixnum-max (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -2) 1)
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(list fixnum-max (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit -1) 0)
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(list fixnum-max (+ fixnum-bit 0) (+ fixnum-bit fixnum-bit 0) 0)
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(list fixnum-max (+ fixnum-bit 1) (+ fixnum-bit fixnum-bit 1) 0)))
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(run-tests
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(lambda (a b c d)
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(string-append "fixnum-bit + 1 bits starting at " (number->string b)))
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(lambda (a b c d)
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(= (bit-extract a b c) d))
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(list
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(list fixnum-max 0 (+ fixnum-bit 1) (ash fixnum-max 0))
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(list fixnum-max 1 (+ fixnum-bit 2) (ash fixnum-max -1))
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(list fixnum-max 2 (+ fixnum-bit 3) (ash fixnum-max -2))
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(list fixnum-max (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -1) 1)
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(list fixnum-max (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit 0) 0)
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(list fixnum-max (+ fixnum-bit 0) (+ fixnum-bit fixnum-bit 1) 0)
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(list fixnum-max (+ fixnum-bit 1) (+ fixnum-bit fixnum-bit 2) 0))))
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(with-test-prefix "extract from fixnum-max + 1"
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(run-tests
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(lambda (a b c d)
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(string-append "single bit " (number->string b)))
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(lambda (a b c d)
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(= (bit-extract a b c) d))
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(list
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(list (+ fixnum-max 1) 0 1 0)
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(list (+ fixnum-max 1) 1 2 0)
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(list (+ fixnum-max 1) (+ fixnum-bit -2) (+ fixnum-bit -1) 0)
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(list (+ fixnum-max 1) (+ fixnum-bit -1) (+ fixnum-bit 0) 1)
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(list (+ fixnum-max 1) (+ fixnum-bit 0) (+ fixnum-bit 1) 0)
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(list (+ fixnum-max 1) (+ fixnum-bit 1) (+ fixnum-bit 2) 0)))
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(run-tests
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(lambda (a b c d)
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(string-append "fixnum-bit - 1 bits starting at " (number->string b)))
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(lambda (a b c d)
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(= (bit-extract a b c) d))
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(list
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(list (+ fixnum-max 1) 0 (+ fixnum-bit -1) (ash 0 (- fixnum-bit 1)))
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(list (+ fixnum-max 1) 1 (+ fixnum-bit 0) (ash 1 (- fixnum-bit 2)))
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(list (+ fixnum-max 1) 2 (+ fixnum-bit 1) (ash 1 (- fixnum-bit 3)))
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(list (+ fixnum-max 1) (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -3) 2)
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(list (+ fixnum-max 1) (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit -2) 1)
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(list (+ fixnum-max 1) (+ fixnum-bit 0) (+ fixnum-bit fixnum-bit -1) 0)
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(list (+ fixnum-max 1) (+ fixnum-bit 1) (+ fixnum-bit fixnum-bit 0) 0)))
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(run-tests
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(lambda (a b c d)
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(string-append "fixnum-bit bits starting at " (number->string b)))
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(lambda (a b c d)
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(= (bit-extract a b c) d))
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(list
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(list (+ fixnum-max 1) 0 (+ fixnum-bit 0) (ash 1 (- fixnum-bit 1)))
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(list (+ fixnum-max 1) 1 (+ fixnum-bit 1) (ash 1 (- fixnum-bit 2)))
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(list (+ fixnum-max 1) 2 (+ fixnum-bit 2) (ash 1 (- fixnum-bit 3)))
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(list (+ fixnum-max 1) (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -2) 2)
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(list (+ fixnum-max 1) (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit -1) 1)
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(list (+ fixnum-max 1) (+ fixnum-bit 0) (+ fixnum-bit fixnum-bit 0) 0)
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(list (+ fixnum-max 1) (+ fixnum-bit 1) (+ fixnum-bit fixnum-bit 1) 0)))
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(run-tests
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(lambda (a b c d)
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(string-append "fixnum-bit + 1 bits starting at " (number->string b)))
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(lambda (a b c d)
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(= (bit-extract a b c) d))
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(list
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(list (+ fixnum-max 1) 0 (+ fixnum-bit 1) (ash 1 (- fixnum-bit 1)))
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(list (+ fixnum-max 1) 1 (+ fixnum-bit 2) (ash 1 (- fixnum-bit 2)))
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(list (+ fixnum-max 1) 2 (+ fixnum-bit 3) (ash 1 (- fixnum-bit 3)))
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(list (+ fixnum-max 1) (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -1) 2)
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(list (+ fixnum-max 1) (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit 0) 1)
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(list (+ fixnum-max 1) (+ fixnum-bit 0) (+ fixnum-bit fixnum-bit 1) 0)
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(list (+ fixnum-max 1) (+ fixnum-bit 1) (+ fixnum-bit fixnum-bit 2) 0))))
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(with-test-prefix "extract from fixnum-min"
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(run-tests
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(lambda (a b c d)
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(string-append "single bit " (number->string b)))
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(lambda (a b c d)
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(= (bit-extract a b c) d))
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(list
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(list fixnum-min 0 1 0)
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(list fixnum-min 1 2 0)
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(list fixnum-min (+ fixnum-bit -2) (+ fixnum-bit -1) 0)
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(list fixnum-min (+ fixnum-bit -1) (+ fixnum-bit 0) 1)
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(list fixnum-min (+ fixnum-bit 0) (+ fixnum-bit 1) 1)
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(list fixnum-min (+ fixnum-bit 1) (+ fixnum-bit 2) 1)))
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(run-tests
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(lambda (a b c d)
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(string-append "fixnum-bit - 1 bits starting at " (number->string b)))
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(lambda (a b c d)
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(= (bit-extract a b c) d))
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(list
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(list fixnum-min 0 (+ fixnum-bit -1) (ash 0 (- fixnum-bit 1)))
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(list fixnum-min 1 (+ fixnum-bit 0) (ash 1 (- fixnum-bit 2)))
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(list fixnum-min 2 (+ fixnum-bit 1) (ash 3 (- fixnum-bit 3)))
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(list fixnum-min (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -3) (- (ash 1 (- fixnum-bit 1)) 2))
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(list fixnum-min (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit -2) (- (ash 1 (- fixnum-bit 1)) 1))
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(list fixnum-min (+ fixnum-bit 0) (+ fixnum-bit fixnum-bit -1) (- (ash 1 (- fixnum-bit 1)) 1))
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(list fixnum-min (+ fixnum-bit 1) (+ fixnum-bit fixnum-bit 0) (- (ash 1 (- fixnum-bit 1)) 1))))
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(run-tests
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(lambda (a b c d)
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(string-append "fixnum-bit bits starting at " (number->string b)))
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(lambda (a b c d)
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(= (bit-extract a b c) d))
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(list
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(list fixnum-min 0 (+ fixnum-bit 0) (ash 1 (- fixnum-bit 1)))
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(list fixnum-min 1 (+ fixnum-bit 1) (ash 3 (- fixnum-bit 2)))
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(list fixnum-min 2 (+ fixnum-bit 2) (ash 7 (- fixnum-bit 3)))
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(list fixnum-min (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -2) (- (ash 1 fixnum-bit) 2))
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(list fixnum-min (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit -1) (- (ash 1 fixnum-bit) 1))
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(list fixnum-min (+ fixnum-bit 0) (+ fixnum-bit fixnum-bit 0) (- (ash 1 fixnum-bit) 1))
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(list fixnum-min (+ fixnum-bit 1) (+ fixnum-bit fixnum-bit 1) (- (ash 1 fixnum-bit) 1))))
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(run-tests
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(lambda (a b c d)
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(string-append "fixnum-bit + 1 bits starting at " (number->string b)))
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(lambda (a b c d)
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(= (bit-extract a b c) d))
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(list
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(list fixnum-min 0 (+ fixnum-bit 1) (ash 3 (- fixnum-bit 1)))
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(list fixnum-min 1 (+ fixnum-bit 2) (ash 7 (- fixnum-bit 2)))
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(list fixnum-min 2 (+ fixnum-bit 3) (ash 15 (- fixnum-bit 3)))
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(list fixnum-min (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -1) (- (ash 1 (+ fixnum-bit 1)) 2))
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(list fixnum-min (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit 0) (- (ash 1 (+ fixnum-bit 1)) 1))
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(list fixnum-min (+ fixnum-bit 0) (+ fixnum-bit fixnum-bit 1) (- (ash 1 (+ fixnum-bit 1)) 1))
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(list fixnum-min (+ fixnum-bit 1) (+ fixnum-bit fixnum-bit 2) (- (ash 1 (+ fixnum-bit 1)) 1)))))
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(with-test-prefix "extract from fixnum-min - 1"
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(run-tests
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(lambda (a b c d)
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(string-append "single bit " (number->string b)))
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(lambda (a b c d)
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(= (bit-extract a b c) d))
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(list
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(list (- fixnum-min 1) 0 1 1)
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(list (- fixnum-min 1) 1 2 1)
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(list (- fixnum-min 1) (+ fixnum-bit -2) (+ fixnum-bit -1) 1)
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(list (- fixnum-min 1) (+ fixnum-bit -1) (+ fixnum-bit 0) 0)
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(list (- fixnum-min 1) (+ fixnum-bit 0) (+ fixnum-bit 1) 1)
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(list (- fixnum-min 1) (+ fixnum-bit 1) (+ fixnum-bit 2) 1)))
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(run-tests
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(lambda (a b c d)
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(string-append "fixnum-bit - 1 bits starting at " (number->string b)))
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(lambda (a b c d)
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(= (bit-extract a b c) d))
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(list
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(list (- fixnum-min 1) 0 (+ fixnum-bit -1) (- (ash 1 (- fixnum-bit 1)) 1 (ash 0 (- fixnum-bit 1))))
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(list (- fixnum-min 1) 1 (+ fixnum-bit 0) (- (ash 1 (- fixnum-bit 1)) 1 (ash 1 (- fixnum-bit 2))))
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(list (- fixnum-min 1) 2 (+ fixnum-bit 1) (- (ash 1 (- fixnum-bit 1)) 1 (ash 1 (- fixnum-bit 3))))
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(list (- fixnum-min 1) (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -3) (- (ash 1 (- fixnum-bit 1)) 3))
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(list (- fixnum-min 1) (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit -2) (- (ash 1 (- fixnum-bit 1)) 2))
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(list (- fixnum-min 1) (+ fixnum-bit 0) (+ fixnum-bit fixnum-bit -1) (- (ash 1 (- fixnum-bit 1)) 1))
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(list (- fixnum-min 1) (+ fixnum-bit 1) (+ fixnum-bit fixnum-bit 0) (- (ash 1 (- fixnum-bit 1)) 1))))
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(run-tests
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(lambda (a b c d)
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(string-append "fixnum-bit bits starting at " (number->string b)))
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(lambda (a b c d)
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(= (bit-extract a b c) d))
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(list
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(list (- fixnum-min 1) 0 (+ fixnum-bit 0) (- (ash 1 fixnum-bit) 1 (ash 1 (- fixnum-bit 1))))
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(list (- fixnum-min 1) 1 (+ fixnum-bit 1) (- (ash 1 fixnum-bit) 1 (ash 1 (- fixnum-bit 2))))
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(list (- fixnum-min 1) 2 (+ fixnum-bit 2) (- (ash 1 fixnum-bit) 1 (ash 1 (- fixnum-bit 3))))
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(list (- fixnum-min 1) (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -2) (- (ash 1 fixnum-bit) 3))
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(list (- fixnum-min 1) (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit -1) (- (ash 1 fixnum-bit) 2))
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(list (- fixnum-min 1) (+ fixnum-bit 0) (+ fixnum-bit fixnum-bit 0) (- (ash 1 fixnum-bit) 1))
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(list (- fixnum-min 1) (+ fixnum-bit 1) (+ fixnum-bit fixnum-bit 1) (- (ash 1 fixnum-bit) 1))))
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(run-tests
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(lambda (a b c d)
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(string-append "fixnum-bit + 1 bits starting at " (number->string b)))
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(lambda (a b c d)
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(= (bit-extract a b c) d))
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(list
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(list (- fixnum-min 1) 0 (+ fixnum-bit 1) (- (ash 1 (+ fixnum-bit 1)) 1 (ash 1 (- fixnum-bit 1))))
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(list (- fixnum-min 1) 1 (+ fixnum-bit 2) (- (ash 1 (+ fixnum-bit 1)) 1 (ash 1 (- fixnum-bit 2))))
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(list (- fixnum-min 1) 2 (+ fixnum-bit 3) (- (ash 1 (+ fixnum-bit 1)) 1 (ash 1 (- fixnum-bit 3))))
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(list (- fixnum-min 1) (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -1) (- (ash 1 (+ fixnum-bit 1)) 3))
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(list (- fixnum-min 1) (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit 0) (- (ash 1 (+ fixnum-bit 1)) 2))
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(list (- fixnum-min 1) (+ fixnum-bit 0) (+ fixnum-bit fixnum-bit 1) (- (ash 1 (+ fixnum-bit 1)) 1))
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(list (- fixnum-min 1) (+ fixnum-bit 1) (+ fixnum-bit fixnum-bit 2) (- (ash 1 (+ fixnum-bit 1)) 1))))))
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