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;;; fixnums.scm --- The R6RS fixnums arithmetic library
;; Copyright (C) 2010, 2011, 2013 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
(library (rnrs arithmetic fixnums (6))
(export fixnum?
fixnum-width
least-fixnum
greatest-fixnum
fx=?
fx>?
fx<?
fx>=?
fx<=?
fxzero?
fxpositive?
fxnegative?
fxodd?
fxeven?
fxmax
fxmin
fx+
fx*
fx-
fxdiv-and-mod
fxdiv
fxmod
fxdiv0-and-mod0
fxdiv0
fxmod0
fx+/carry
fx-/carry
fx*/carry
fxnot
fxand
fxior
fxxor
fxif
fxbit-count
fxlength
fxfirst-bit-set
fxbit-set?
fxcopy-bit
fxbit-field
fxcopy-bit-field
fxarithmetic-shift
fxarithmetic-shift-left
fxarithmetic-shift-right
fxrotate-bit-field
fxreverse-bit-field)
(import (only (guile) ash
cons*
define-inlinable
inexact->exact
logand
logbit?
logcount
logior
lognot
logxor
most-positive-fixnum
most-negative-fixnum
object-address)
(ice-9 optargs)
(rnrs base (6))
(rnrs control (6))
(rnrs arithmetic bitwise (6))
(rnrs conditions (6))
(rnrs exceptions (6))
(rnrs lists (6)))
(define fixnum-width
(let ((w (do ((i 0 (+ 1 i))
(n 1 (* 2 n)))
((> n most-positive-fixnum)
(+ 1 i)))))
(lambda () w)))
(define (greatest-fixnum) most-positive-fixnum)
(define (least-fixnum) most-negative-fixnum)
(define (fixnum? obj)
(not (= 0 (logand 2 (object-address obj)))))
(define-inlinable (inline-fixnum? obj)
(not (= 0 (logand 2 (object-address obj)))))
(define-syntax assert-fixnum
(syntax-rules ()
((_ arg ...)
(or (and (inline-fixnum? arg) ...)
(raise (make-assertion-violation))))))
(define (assert-fixnums args)
(or (for-all inline-fixnum? args) (raise (make-assertion-violation))))
(define-syntax define-fxop*
(syntax-rules ()
((_ name op)
(define name
(case-lambda
((x y)
(assert-fixnum x y)
(op x y))
(args
(assert-fixnums args)
(apply op args)))))))
;; All these predicates don't check their arguments for fixnum-ness,
;; as this doesn't seem to be strictly required by R6RS.
(define fx=? =)
(define fx>? >)
(define fx<? <)
(define fx>=? >=)
(define fx<=? <=)
(define fxzero? zero?)
(define fxpositive? positive?)
(define fxnegative? negative?)
(define fxodd? odd?)
(define fxeven? even?)
(define-fxop* fxmax max)
(define-fxop* fxmin min)
(define (fx+ fx1 fx2)
(assert-fixnum fx1 fx2)
(let ((r (+ fx1 fx2)))
(or (inline-fixnum? r)
(raise (make-implementation-restriction-violation)))
r))
(define (fx* fx1 fx2)
(assert-fixnum fx1 fx2)
(let ((r (* fx1 fx2)))
(or (inline-fixnum? r)
(raise (make-implementation-restriction-violation)))
r))
(define* (fx- fx1 #:optional fx2)
(assert-fixnum fx1)
(if fx2
(begin
(assert-fixnum fx2)
(let ((r (- fx1 fx2)))
(or (inline-fixnum? r) (raise (make-assertion-violation)))
r))
(let ((r (- fx1)))
(or (inline-fixnum? r) (raise (make-assertion-violation)))
r)))
(define (fxdiv fx1 fx2)
(assert-fixnum fx1 fx2)
(div fx1 fx2))
(define (fxmod fx1 fx2)
(assert-fixnum fx1 fx2)
(mod fx1 fx2))
(define (fxdiv-and-mod fx1 fx2)
(assert-fixnum fx1 fx2)
(div-and-mod fx1 fx2))
(define (fxdiv0 fx1 fx2)
(assert-fixnum fx1 fx2)
(div0 fx1 fx2))
(define (fxmod0 fx1 fx2)
(assert-fixnum fx1 fx2)
(mod0 fx1 fx2))
(define (fxdiv0-and-mod0 fx1 fx2)
(assert-fixnum fx1 fx2)
(div0-and-mod0 fx1 fx2))
(define (fx+/carry fx1 fx2 fx3)
(assert-fixnum fx1 fx2 fx3)
(let* ((s (+ fx1 fx2 fx3))
(s0 (mod0 s (expt 2 (fixnum-width))))
(s1 (div0 s (expt 2 (fixnum-width)))))
(values s0 s1)))
(define (fx-/carry fx1 fx2 fx3)
(assert-fixnum fx1 fx2 fx3)
(let* ((d (- fx1 fx2 fx3))
(d0 (mod0 d (expt 2 (fixnum-width))))
(d1 (div0 d (expt 2 (fixnum-width)))))
(values d0 d1)))
(define (fx*/carry fx1 fx2 fx3)
(assert-fixnum fx1 fx2 fx3)
(let* ((s (+ (* fx1 fx2) fx3))
(s0 (mod0 s (expt 2 (fixnum-width))))
(s1 (div0 s (expt 2 (fixnum-width)))))
(values s0 s1)))
(define (fxnot fx) (assert-fixnum fx) (lognot fx))
(define-fxop* fxand logand)
(define-fxop* fxior logior)
(define-fxop* fxxor logxor)
(define (fxif fx1 fx2 fx3)
(assert-fixnum fx1 fx2 fx3)
(bitwise-if fx1 fx2 fx3))
(define (fxbit-count fx)
(assert-fixnum fx)
(if (negative? fx)
(bitwise-not (logcount fx))
(logcount fx)))
(define (fxlength fx) (assert-fixnum fx) (bitwise-length fx))
(define (fxfirst-bit-set fx) (assert-fixnum fx) (bitwise-first-bit-set fx))
(define (fxbit-set? fx1 fx2) (assert-fixnum fx1 fx2) (logbit? fx2 fx1))
(define (fxcopy-bit fx1 fx2 fx3)
(assert-fixnum fx1 fx2 fx3)
(unless (and (<= 0 fx2) (< fx2 (fixnum-width)))
(raise (make-assertion-violation)))
(bitwise-copy-bit fx1 fx2 fx3))
(define (fxbit-field fx1 fx2 fx3)
(assert-fixnum fx1 fx2 fx3)
(unless (and (<= 0 fx2 fx3) (< fx3 (fixnum-width)))
(raise (make-assertion-violation)))
(bitwise-bit-field fx1 fx2 fx3))
(define (fxcopy-bit-field fx1 fx2 fx3 fx4)
(assert-fixnum fx1 fx2 fx3 fx4)
(unless (and (<= 0 fx2 fx3) (< fx3 (fixnum-width)))
(raise (make-assertion-violation)))
(bitwise-copy-bit-field fx1 fx2 fx3 fx4))
(define (fxarithmetic-shift fx1 fx2)
(assert-fixnum fx1 fx2)
(unless (< (abs fx2) (fixnum-width))
(raise (make-assertion-violation)))
(ash fx1 fx2))
(define (fxarithmetic-shift-left fx1 fx2)
(assert-fixnum fx1 fx2)
(unless (and (<= 0 fx2) (< fx2 (fixnum-width)))
(raise (make-assertion-violation)))
(ash fx1 fx2))
(define (fxarithmetic-shift-right fx1 fx2)
(assert-fixnum fx1 fx2)
(unless (and (<= 0 fx2) (< fx2 (fixnum-width)))
(raise (make-assertion-violation)))
(ash fx1 (- fx2)))
(define (fxrotate-bit-field fx1 fx2 fx3 fx4)
(assert-fixnum fx1 fx2 fx3 fx4)
(unless (and (<= 0 fx2 fx3) (< fx3 (fixnum-width)) (< fx4 (- fx3 fx2)))
(raise (make-assertion-violation)))
(bitwise-rotate-bit-field fx1 fx2 fx3 fx4))
(define (fxreverse-bit-field fx1 fx2 fx3)
(assert-fixnum fx1 fx2 fx3)
(unless (and (<= 0 fx2 fx3) (< fx3 (fixnum-width)))
(raise (make-assertion-violation)))
(bitwise-reverse-bit-field fx1 fx2 fx3))
)
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