--- /dev/null
+;;;; bit-operations.test --- bitwise operations on numbers -*- scheme -*-
+;;;; Copyright (C) 2000, 2001, 2003, 2006, 2009 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 2.1 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))))))
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