guile/test-suite/tests/bit-operations.test

;;;; bit-operations.test --- bitwise operations on numbers -*- scheme -*-
;;;; Copyright (C) 2000, 2001, 2003, 2006, 2009, 2010 Free Software Foundation, Inc.
;;;;
;;;; This library is free software; you can redistribute it and/or
;;;; modify it under the terms of the GNU Lesser General Public
;;;; License as published by the Free Software Foundation; either
;;;; version 3 of the License, or (at your option) any later version.
;;;; 
;;;; This library is distributed in the hope that it will be useful,
;;;; but WITHOUT ANY WARRANTY; without even the implied warranty of
;;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
;;;; Lesser General Public License for more details.
;;;; 
;;;; You should have received a copy of the GNU Lesser General Public
;;;; License along with this library; if not, write to the Free Software
;;;; Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA

(define-module (test-bit-operations)
  :use-module (test-suite lib)
  :use-module (ice-9 documentation))


;;;
;;; miscellaneous
;;;

(define (run-tests name-proc test-proc arg-sets)
  (for-each
   (lambda (arg-set)
     (pass-if (apply name-proc arg-set)
       (apply test-proc arg-set)))
   arg-sets))

(define (documented? object)
  (not (not (object-documentation object))))

(define fixnum-bit
  (inexact->exact (round (+ (/ (log (+ most-positive-fixnum 1)) (log 2)) 1))))

(define fixnum-min most-negative-fixnum)
(define fixnum-max most-positive-fixnum)

(with-test-prefix "bit-extract"

  (pass-if "documented?"
    (documented? bit-extract))

  (with-test-prefix "extract from zero"

    (run-tests
     (lambda (a b c d)
       (string-append "single bit " (number->string b)))
     (lambda (a b c d)
       (= (bit-extract a b c) d))
     (list
      (list 0 0 1 0)
      (list 0 1 2 0)
      (list 0 (+ fixnum-bit -2) (+ fixnum-bit -1) 0)
      (list 0 (+ fixnum-bit -1) (+ fixnum-bit  0) 0)
      (list 0 (+ fixnum-bit  0) (+ fixnum-bit  1) 0)
      (list 0 (+ fixnum-bit  1) (+ fixnum-bit  2) 0)))

    (run-tests
     (lambda (a b c d)
       (string-append "fixnum-bit - 1 bits starting at " (number->string b)))
     (lambda (a b c d)
       (= (bit-extract a b c) d))
     (list
      (list 0 0 (+ fixnum-bit -1) 0)
      (list 0 1 (+ fixnum-bit  0) 0)
      (list 0 2 (+ fixnum-bit  1) 0)
      (list 0 (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -3) 0)
      (list 0 (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit -2) 0)
      (list 0 (+ fixnum-bit  0) (+ fixnum-bit fixnum-bit -1) 0)
      (list 0 (+ fixnum-bit  1) (+ fixnum-bit fixnum-bit  0) 0)))

    (run-tests
     (lambda (a b c d)
       (string-append "fixnum-bit bits starting at " (number->string b)))
     (lambda (a b c d)
       (= (bit-extract a b c) d))
     (list
      (list 0 0 (+ fixnum-bit  0) 0)
      (list 0 1 (+ fixnum-bit  1) 0)
      (list 0 2 (+ fixnum-bit  2) 0)
      (list 0 (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -2) 0)
      (list 0 (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit -1) 0)
      (list 0 (+ fixnum-bit  0) (+ fixnum-bit fixnum-bit  0) 0)
      (list 0 (+ fixnum-bit  1) (+ fixnum-bit fixnum-bit  1) 0)))

    (run-tests
     (lambda (a b c d)
       (string-append "fixnum-bit + 1 bits starting at " (number->string b)))
     (lambda (a b c d)
       (= (bit-extract a b c) d))
     (list
      (list 0 0 (+ fixnum-bit  1) 0)
      (list 0 1 (+ fixnum-bit  2) 0)
      (list 0 2 (+ fixnum-bit  3) 0)
      (list 0 (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -1) 0)
      (list 0 (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit  0) 0)
      (list 0 (+ fixnum-bit  0) (+ fixnum-bit fixnum-bit  1) 0)
      (list 0 (+ fixnum-bit  1) (+ fixnum-bit fixnum-bit  2) 0))))

  (with-test-prefix "extract from fixnum-max"

    (run-tests
     (lambda (a b c d)
       (string-append "single bit " (number->string b)))
     (lambda (a b c d)
       (= (bit-extract a b c) d))
     (list
      (list fixnum-max 0 1 1)
      (list fixnum-max 1 2 1)
      (list fixnum-max (+ fixnum-bit -2) (+ fixnum-bit -1) 1)
      (list fixnum-max (+ fixnum-bit -1) (+ fixnum-bit  0) 0)
      (list fixnum-max (+ fixnum-bit  0) (+ fixnum-bit  1) 0)
      (list fixnum-max (+ fixnum-bit  1) (+ fixnum-bit  2) 0)))

    (run-tests
     (lambda (a b c d)
       (string-append "fixnum-bit - 1 bits starting at " (number->string b)))
     (lambda (a b c d)
       (= (bit-extract a b c) d))
     (list
      (list fixnum-max 0 (+ fixnum-bit -1) (ash fixnum-max  0))
      (list fixnum-max 1 (+ fixnum-bit  0) (ash fixnum-max -1))
      (list fixnum-max 2 (+ fixnum-bit  1) (ash fixnum-max -2))
      (list fixnum-max (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -3) 1)
      (list fixnum-max (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit -2) 0)
      (list fixnum-max (+ fixnum-bit  0) (+ fixnum-bit fixnum-bit -1) 0)
      (list fixnum-max (+ fixnum-bit  1) (+ fixnum-bit fixnum-bit  0) 0)))

    (run-tests
     (lambda (a b c d)
       (string-append "fixnum-bit bits starting at " (number->string b)))
     (lambda (a b c d)
       (= (bit-extract a b c) d))
     (list
      (list fixnum-max 0 (+ fixnum-bit  0) (ash fixnum-max  0))
      (list fixnum-max 1 (+ fixnum-bit  1) (ash fixnum-max -1))
      (list fixnum-max 2 (+ fixnum-bit  2) (ash fixnum-max -2))
      (list fixnum-max (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -2) 1)
      (list fixnum-max (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit -1) 0)
      (list fixnum-max (+ fixnum-bit  0) (+ fixnum-bit fixnum-bit  0) 0)
      (list fixnum-max (+ fixnum-bit  1) (+ fixnum-bit fixnum-bit  1) 0)))

    (run-tests
     (lambda (a b c d)
       (string-append "fixnum-bit + 1 bits starting at " (number->string b)))
     (lambda (a b c d)
       (= (bit-extract a b c) d))
     (list
      (list fixnum-max 0 (+ fixnum-bit  1) (ash fixnum-max  0))
      (list fixnum-max 1 (+ fixnum-bit  2) (ash fixnum-max -1))
      (list fixnum-max 2 (+ fixnum-bit  3) (ash fixnum-max -2))
      (list fixnum-max (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -1) 1)
      (list fixnum-max (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit  0) 0)
      (list fixnum-max (+ fixnum-bit  0) (+ fixnum-bit fixnum-bit  1) 0)
      (list fixnum-max (+ fixnum-bit  1) (+ fixnum-bit fixnum-bit  2) 0))))

  (with-test-prefix "extract from fixnum-max + 1"

    (run-tests
     (lambda (a b c d)
       (string-append "single bit " (number->string b)))
     (lambda (a b c d)
       (= (bit-extract a b c) d))
     (list
      (list (+ fixnum-max 1) 0 1 0)
      (list (+ fixnum-max 1) 1 2 0)
      (list (+ fixnum-max 1) (+ fixnum-bit -2) (+ fixnum-bit -1) 0)
      (list (+ fixnum-max 1) (+ fixnum-bit -1) (+ fixnum-bit  0) 1)
      (list (+ fixnum-max 1) (+ fixnum-bit  0) (+ fixnum-bit  1) 0)
      (list (+ fixnum-max 1) (+ fixnum-bit  1) (+ fixnum-bit  2) 0)))

    (run-tests
     (lambda (a b c d)
       (string-append "fixnum-bit - 1 bits starting at " (number->string b)))
     (lambda (a b c d)
       (= (bit-extract a b c) d))
     (list
      (list (+ fixnum-max 1) 0 (+ fixnum-bit -1) (ash 0 (- fixnum-bit 1)))
      (list (+ fixnum-max 1) 1 (+ fixnum-bit  0) (ash 1 (- fixnum-bit 2)))
      (list (+ fixnum-max 1) 2 (+ fixnum-bit  1) (ash 1 (- fixnum-bit 3)))
      (list (+ fixnum-max 1) (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -3) 2)
      (list (+ fixnum-max 1) (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit -2) 1)
      (list (+ fixnum-max 1) (+ fixnum-bit  0) (+ fixnum-bit fixnum-bit -1) 0)
      (list (+ fixnum-max 1) (+ fixnum-bit  1) (+ fixnum-bit fixnum-bit  0) 0)))

    (run-tests
     (lambda (a b c d)
       (string-append "fixnum-bit bits starting at " (number->string b)))
     (lambda (a b c d)
       (= (bit-extract a b c) d))
     (list
      (list (+ fixnum-max 1) 0 (+ fixnum-bit  0) (ash 1 (- fixnum-bit 1)))
      (list (+ fixnum-max 1) 1 (+ fixnum-bit  1) (ash 1 (- fixnum-bit 2)))
      (list (+ fixnum-max 1) 2 (+ fixnum-bit  2) (ash 1 (- fixnum-bit 3)))
      (list (+ fixnum-max 1) (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -2) 2)
      (list (+ fixnum-max 1) (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit -1) 1)
      (list (+ fixnum-max 1) (+ fixnum-bit  0) (+ fixnum-bit fixnum-bit  0) 0)
      (list (+ fixnum-max 1) (+ fixnum-bit  1) (+ fixnum-bit fixnum-bit  1) 0)))

    (run-tests
     (lambda (a b c d)
       (string-append "fixnum-bit + 1 bits starting at " (number->string b)))
     (lambda (a b c d)
       (= (bit-extract a b c) d))
     (list
      (list (+ fixnum-max 1) 0 (+ fixnum-bit  1) (ash 1 (- fixnum-bit 1)))
      (list (+ fixnum-max 1) 1 (+ fixnum-bit  2) (ash 1 (- fixnum-bit 2)))
      (list (+ fixnum-max 1) 2 (+ fixnum-bit  3) (ash 1 (- fixnum-bit 3)))
      (list (+ fixnum-max 1) (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -1) 2)
      (list (+ fixnum-max 1) (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit  0) 1)
      (list (+ fixnum-max 1) (+ fixnum-bit  0) (+ fixnum-bit fixnum-bit  1) 0)
      (list (+ fixnum-max 1) (+ fixnum-bit  1) (+ fixnum-bit fixnum-bit  2) 0))))

  (with-test-prefix "extract from fixnum-min"

    (run-tests
     (lambda (a b c d)
       (string-append "single bit " (number->string b)))
     (lambda (a b c d)
       (= (bit-extract a b c) d))
     (list
      (list fixnum-min 0 1 0)
      (list fixnum-min 1 2 0)
      (list fixnum-min (+ fixnum-bit -2) (+ fixnum-bit -1) 0)
      (list fixnum-min (+ fixnum-bit -1) (+ fixnum-bit  0) 1)
      (list fixnum-min (+ fixnum-bit  0) (+ fixnum-bit  1) 1)
      (list fixnum-min (+ fixnum-bit  1) (+ fixnum-bit  2) 1)))

    (run-tests
     (lambda (a b c d)
       (string-append "fixnum-bit - 1 bits starting at " (number->string b)))
     (lambda (a b c d)
       (= (bit-extract a b c) d))
     (list
      (list fixnum-min 0 (+ fixnum-bit -1) (ash 0 (- fixnum-bit 1)))
      (list fixnum-min 1 (+ fixnum-bit  0) (ash 1 (- fixnum-bit 2)))
      (list fixnum-min 2 (+ fixnum-bit  1) (ash 3 (- fixnum-bit 3)))
      (list fixnum-min (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -3)
            (- (ash 1	(- fixnum-bit 1)) 2))
      (list fixnum-min (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit -2)
            (- (ash 1	(- fixnum-bit 1)) 1))
      (list fixnum-min (+ fixnum-bit  0) (+ fixnum-bit fixnum-bit -1)
            (- (ash 1	(- fixnum-bit 1)) 1))
      (list fixnum-min (+ fixnum-bit  1) (+ fixnum-bit fixnum-bit  0)
            (- (ash 1	(- fixnum-bit 1)) 1))))

    (run-tests
     (lambda (a b c d)
       (string-append "fixnum-bit bits starting at " (number->string b)))
     (lambda (a b c d)
       (= (bit-extract a b c) d))
     (list
      (list fixnum-min 0 (+ fixnum-bit  0) (ash 1 (- fixnum-bit 1)))
      (list fixnum-min 1 (+ fixnum-bit  1) (ash 3 (- fixnum-bit 2)))
      (list fixnum-min 2 (+ fixnum-bit  2) (ash 7 (- fixnum-bit 3)))
      (list fixnum-min (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -2)
            (- (ash 1	fixnum-bit) 2))
      (list fixnum-min (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit -1)
            (- (ash 1	fixnum-bit) 1))
      (list fixnum-min (+ fixnum-bit  0) (+ fixnum-bit fixnum-bit  0)
            (- (ash 1	fixnum-bit) 1))
      (list fixnum-min (+ fixnum-bit  1) (+ fixnum-bit fixnum-bit  1)
            (- (ash 1	fixnum-bit) 1))))

    (run-tests
     (lambda (a b c d)
       (string-append "fixnum-bit + 1 bits starting at " (number->string b)))
     (lambda (a b c d)
       (= (bit-extract a b c) d))
     (list
      (list fixnum-min 0 (+ fixnum-bit  1) (ash  3 (- fixnum-bit 1)))
      (list fixnum-min 1 (+ fixnum-bit  2) (ash  7 (- fixnum-bit 2)))
      (list fixnum-min 2 (+ fixnum-bit  3) (ash 15 (- fixnum-bit 3)))
      (list fixnum-min (+ fixnum-bit -2) (+ fixnum-bit fixnum-bit -1)
            (- (ash 1 (+ fixnum-bit 1)) 2))
      (list fixnum-min (+ fixnum-bit -1) (+ fixnum-bit fixnum-bit  0)
            (- (ash 1 (+ fixnum-bit 1)) 1))
      (list fixnum-min (+ fixnum-bit  0) (+ fixnum-bit fixnum-bit  1)
            (- (ash 1 (+ fixnum-bit 1)) 1))
      (list fixnum-min (+ fixnum-bit  1) (+ fixnum-bit fixnum-bit  2)
            (- (ash 1 (+ fixnum-bit 1)) 1)))))

  (with-test-prefix "extract from fixnum-min - 1"

    (run-tests
     (lambda (a b c d)
       (string-append "single bit " (number->string b)))
     (lambda (a b c d)
       (= (bit-extract a b c) d))
     (list
      (list (- fixnum-min 1) 0 1 1)
      (list (- fixnum-min 1) 1 2 1)
      (list (- fixnum-min 1) (+ fixnum-bit -2) (+ fixnum-bit -1) 1)
      (list (- fixnum-min 1) (+ fixnum-bit -1) (+ fixnum-bit  0) 0)
      (list (- fixnum-min 1) (+ fixnum-bit  0) (+ fixnum-bit  1) 1)
      (list (- fixnum-min 1) (+ fixnum-bit  1) (+ fixnum-bit  2) 1)))

    (run-tests
     (lambda (a b c d)
       (string-append "fixnum-bit - 1 bits starting at " (number->string b)))
     (lambda (a b c d)
       (= (bit-extract a b c) d))
     (list
      (list (- fixnum-min 1) 0 (+ fixnum-bit -1)
            (- (ash 1 (- fixnum-bit 1)) 1 (ash 0 (- fixnum-bit 1))))
      (list (- fixnum-min 1) 1 (+ fixnum-bit  0)
            (- (ash 1 (- fixnum-bit 1)) 1 (ash 1 (- fixnum-bit 2))))
      (list (- fixnum-min 1) 2 (+ fixnum-bit  1)
            (- (ash 1 (- fixnum-bit 1)) 1 (ash 1 (- fixnum-bit 3))))
      (list (- fixnum-min 1) (+ fixnum-bit -2)
            (+ fixnum-bit fixnum-bit -3) (- (ash 1 (- fixnum-bit 1)) 3))
      (list (- fixnum-min 1) (+ fixnum-bit -1)
            (+ fixnum-bit fixnum-bit -2) (- (ash 1 (- fixnum-bit 1)) 2))
      (list (- fixnum-min 1) (+ fixnum-bit  0)
            (+ fixnum-bit fixnum-bit -1) (- (ash 1 (- fixnum-bit 1)) 1))
      (list (- fixnum-min 1) (+ fixnum-bit  1)
            (+ fixnum-bit fixnum-bit  0) (- (ash 1 (- fixnum-bit 1)) 1))))

    (run-tests
     (lambda (a b c d)
       (string-append "fixnum-bit bits starting at " (number->string b)))
     (lambda (a b c d)
       (= (bit-extract a b c) d))
     (list
      (list (- fixnum-min 1) 0 (+ fixnum-bit  0)
            (- (ash 1 fixnum-bit) 1 (ash 1 (- fixnum-bit 1))))
      (list (- fixnum-min 1) 1 (+ fixnum-bit  1)
            (- (ash 1 fixnum-bit) 1 (ash 1 (- fixnum-bit 2))))
      (list (- fixnum-min 1) 2 (+ fixnum-bit  2)
            (- (ash 1 fixnum-bit) 1 (ash 1 (- fixnum-bit 3))))
      (list (- fixnum-min 1) (+ fixnum-bit -2)
            (+ fixnum-bit fixnum-bit -2) (- (ash 1 fixnum-bit) 3))
      (list (- fixnum-min 1) (+ fixnum-bit -1)
            (+ fixnum-bit fixnum-bit -1) (- (ash 1 fixnum-bit) 2))
      (list (- fixnum-min 1) (+ fixnum-bit  0)
            (+ fixnum-bit fixnum-bit  0) (- (ash 1 fixnum-bit) 1))
      (list (- fixnum-min 1) (+ fixnum-bit  1)
            (+ fixnum-bit fixnum-bit  1) (- (ash 1 fixnum-bit) 1))))

    (run-tests
     (lambda (a b c d)
       (string-append "fixnum-bit + 1 bits starting at " (number->string b)))
     (lambda (a b c d)
       (= (bit-extract a b c) d))
     (list
      (list (- fixnum-min 1) 0 (+ fixnum-bit  1)
            (- (ash 1 (+ fixnum-bit 1)) 1 (ash 1 (- fixnum-bit 1))))
      (list (- fixnum-min 1) 1 (+ fixnum-bit  2)
            (- (ash 1 (+ fixnum-bit 1)) 1 (ash 1 (- fixnum-bit 2))))
      (list (- fixnum-min 1) 2 (+ fixnum-bit  3)
            (- (ash 1 (+ fixnum-bit 1)) 1 (ash 1 (- fixnum-bit 3))))
      (list (- fixnum-min 1) (+ fixnum-bit -2)
            (+ fixnum-bit fixnum-bit -1) (- (ash 1 (+ fixnum-bit 1)) 3))
      (list (- fixnum-min 1) (+ fixnum-bit -1)
            (+ fixnum-bit fixnum-bit  0) (- (ash 1 (+ fixnum-bit 1)) 2))
      (list (- fixnum-min 1) (+ fixnum-bit  0)
            (+ fixnum-bit fixnum-bit  1) (- (ash 1 (+ fixnum-bit 1)) 1))
      (list (- fixnum-min 1) (+ fixnum-bit  1)
            (+ fixnum-bit fixnum-bit  2) (- (ash 1 (+ fixnum-bit 1)) 1))))))

(with-test-prefix "bitshifts on word boundaries"
  (pass-if (= (ash 1 32) 4294967296))
  (pass-if (= (ash 1 64) 18446744073709551616)))