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* libguile/vm-i-scheme.c (ash): Fix embarrassing bug in (ash 1 32). * test-suite/tests/bit-operations.test ("bitshifts on word boundaries"): Add tests.
368 lines
15 KiB
Scheme
368 lines
15 KiB
Scheme
;;;; bit-operations.test --- bitwise operations on numbers -*- scheme -*-
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;;;; Copyright (C) 2000, 2001, 2003, 2006, 2009, 2010 Free Software Foundation, Inc.
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;;;;
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;;;; This library is free software; you can redistribute it and/or
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;;;; modify it under the terms of the GNU Lesser General Public
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;;;; License as published by the Free Software Foundation; either
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;;;; version 3 of the License, or (at your option) any later version.
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;;;;
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;;;; This library 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 GNU
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;;;; Lesser General Public License for more details.
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;;;;
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;;;; You should have received a copy of the GNU Lesser General Public
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;;;; License along with this library; if not, write to the Free Software
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;;;; Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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(define-module (test-bit-operations)
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:use-module (test-suite lib)
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:use-module (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 (round (+ (/ (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)
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(- (ash 1 (- fixnum-bit 1)) 2))
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(list fixnum-min (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit -2)
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(- (ash 1 (- fixnum-bit 1)) 1))
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(list fixnum-min (+ fixnum-bit 0) (+ fixnum-bit fixnum-bit -1)
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(- (ash 1 (- fixnum-bit 1)) 1))
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(list fixnum-min (+ fixnum-bit 1) (+ fixnum-bit fixnum-bit 0)
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(- (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)
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(- (ash 1 fixnum-bit) 2))
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(list fixnum-min (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit -1)
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(- (ash 1 fixnum-bit) 1))
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(list fixnum-min (+ fixnum-bit 0) (+ fixnum-bit fixnum-bit 0)
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(- (ash 1 fixnum-bit) 1))
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(list fixnum-min (+ fixnum-bit 1) (+ fixnum-bit fixnum-bit 1)
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(- (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)
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(- (ash 1 (+ fixnum-bit 1)) 2))
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(list fixnum-min (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit 0)
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(- (ash 1 (+ fixnum-bit 1)) 1))
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(list fixnum-min (+ fixnum-bit 0) (+ fixnum-bit fixnum-bit 1)
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(- (ash 1 (+ fixnum-bit 1)) 1))
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(list fixnum-min (+ fixnum-bit 1) (+ fixnum-bit fixnum-bit 2)
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(- (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)
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(- (ash 1 (- fixnum-bit 1)) 1 (ash 0 (- fixnum-bit 1))))
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(list (- fixnum-min 1) 1 (+ fixnum-bit 0)
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(- (ash 1 (- fixnum-bit 1)) 1 (ash 1 (- fixnum-bit 2))))
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(list (- fixnum-min 1) 2 (+ fixnum-bit 1)
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(- (ash 1 (- fixnum-bit 1)) 1 (ash 1 (- fixnum-bit 3))))
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(list (- fixnum-min 1) (+ fixnum-bit -2)
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(+ fixnum-bit fixnum-bit -3) (- (ash 1 (- fixnum-bit 1)) 3))
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(list (- fixnum-min 1) (+ fixnum-bit -1)
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(+ fixnum-bit fixnum-bit -2) (- (ash 1 (- fixnum-bit 1)) 2))
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(list (- fixnum-min 1) (+ fixnum-bit 0)
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(+ fixnum-bit fixnum-bit -1) (- (ash 1 (- fixnum-bit 1)) 1))
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(list (- fixnum-min 1) (+ fixnum-bit 1)
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(+ 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)
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(- (ash 1 fixnum-bit) 1 (ash 1 (- fixnum-bit 1))))
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(list (- fixnum-min 1) 1 (+ fixnum-bit 1)
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(- (ash 1 fixnum-bit) 1 (ash 1 (- fixnum-bit 2))))
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(list (- fixnum-min 1) 2 (+ fixnum-bit 2)
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(- (ash 1 fixnum-bit) 1 (ash 1 (- fixnum-bit 3))))
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(list (- fixnum-min 1) (+ fixnum-bit -2)
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(+ fixnum-bit fixnum-bit -2) (- (ash 1 fixnum-bit) 3))
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(list (- fixnum-min 1) (+ fixnum-bit -1)
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(+ fixnum-bit fixnum-bit -1) (- (ash 1 fixnum-bit) 2))
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(list (- fixnum-min 1) (+ fixnum-bit 0)
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(+ fixnum-bit fixnum-bit 0) (- (ash 1 fixnum-bit) 1))
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(list (- fixnum-min 1) (+ fixnum-bit 1)
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(+ 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)
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(- (ash 1 (+ fixnum-bit 1)) 1 (ash 1 (- fixnum-bit 1))))
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(list (- fixnum-min 1) 1 (+ fixnum-bit 2)
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(- (ash 1 (+ fixnum-bit 1)) 1 (ash 1 (- fixnum-bit 2))))
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(list (- fixnum-min 1) 2 (+ fixnum-bit 3)
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(- (ash 1 (+ fixnum-bit 1)) 1 (ash 1 (- fixnum-bit 3))))
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(list (- fixnum-min 1) (+ fixnum-bit -2)
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(+ fixnum-bit fixnum-bit -1) (- (ash 1 (+ fixnum-bit 1)) 3))
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(list (- fixnum-min 1) (+ fixnum-bit -1)
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(+ fixnum-bit fixnum-bit 0) (- (ash 1 (+ fixnum-bit 1)) 2))
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(list (- fixnum-min 1) (+ fixnum-bit 0)
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(+ fixnum-bit fixnum-bit 1) (- (ash 1 (+ fixnum-bit 1)) 1))
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(list (- fixnum-min 1) (+ fixnum-bit 1)
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(+ fixnum-bit fixnum-bit 2) (- (ash 1 (+ fixnum-bit 1)) 1))))))
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(with-test-prefix "bitshifts on word boundaries"
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(pass-if (= (ash 1 32) 4294967296))
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(pass-if (= (ash 1 64) 18446744073709551616)))
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