;;;;"r4rstest.scm":  Test R4RS correctness of scheme implementations.
;; Copyright (C) 1991, 1992, 1993, 1994, 1995, 2000, 2003, 2004, 2006, 2007 Free Software Foundation, Inc.
;;
;; This program is free software: you can redistribute it and/or modify
;; it under the terms of the GNU General Public License as
;; published by the Free Software Foundation, either version 3 of the
;; License, or (at your option) any later version.
;;
;; This program 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
;; General Public License for more details.
;;
;; You should have received a copy of the GNU General Public
;; License along with this program.  If not, see
;; <http://www.gnu.org/licenses/>.

;;;;"r4rstest.scm":  Test R4RS correctness of scheme implementations.
;;; Author:          Aubrey Jaffer
;;; Home-page:       http://swiss.csail.mit.edu/~jaffer/Scheme
;;; Current version: http://swiss.csail.mit.edu/ftpdir/scm/r4rstest.scm
;;; CVS Head:
;;; http://savannah.gnu.org/cgi-bin/viewcvs/scm/scm/r4rstest.scm?rev=HEAD&only_with_tag=HEAD&content-type=text/vnd.viewcvs-markup

;;; This includes examples from
;;; William Clinger and Jonathan Rees, editors.
;;; Revised^4 Report on the Algorithmic Language Scheme
;;; and the IEEE specification.

;;; The input tests read this file expecting it to be named "r4rstest.scm".
;;; Files `tmp1', `tmp2' and `tmp3' will be created in the course of running
;;; these tests.  You may need to delete them in order to run
;;; "r4rstest.scm" more than once.

;;;   There are three optional tests:
;;; (TEST-CONT) tests multiple returns from call-with-current-continuation
;;;
;;; (TEST-SC4) tests procedures required by R4RS but not by IEEE
;;;
;;; (TEST-DELAY) tests DELAY and FORCE, which are not required by
;;;   either standard.

;;; If you are testing a R3RS version which does not have `list?' do:
;;; (define list? #f)

;;; send corrections or additions to agj @ alum.mit.edu

(define cur-section '())(define errs '())
(define SECTION (lambda args
		  (display "SECTION") (write args) (newline)
		  (set! cur-section args) #t))
(define record-error (lambda (e) (set! errs (cons (list cur-section e) errs))))

(define test
  (lambda (expect fun . args)
    (write (cons fun args))
    (display "  ==> ")
    ((lambda (res)
      (write res)
      (newline)
      (cond ((not (equal? expect res))
	     (record-error (list res expect (cons fun args)))
	     (display " BUT EXPECTED ")
	     (write expect)
	     (newline)
	     #f)
	    (else #t)))
     (if (procedure? fun) (apply fun args) (car args)))))
(define (report-errs)
  (newline)
  (if (null? errs) (display "Passed all tests")
      (begin
	(display "errors were:")
	(newline)
	(display "(SECTION (got expected (call)))")
	(newline)
	(for-each (lambda (l) (write l) (newline))
		  errs)))
  (newline))

(SECTION 2 1);; test that all symbol characters are supported.
'(+ - ... !.. $.+ %.- &.! *.: /:. :+. <-. =. >. ?. ~. _. ^.)

(SECTION 3 4)
(define disjoint-type-functions
  (list boolean? char? null? number? pair? procedure? string? symbol? vector?))
(define type-examples
  (list
   #t #f #\a '() 9739 '(test) record-error "test" "" 'test '#() '#(a b c) ))
(define i 1)
(for-each (lambda (x) (display (make-string i #\space))
		  (set! i (+ 3 i))
		  (write x)
		  (newline))
	  disjoint-type-functions)
(define type-matrix
  (map (lambda (x)
	 (let ((t (map (lambda (f) (f x)) disjoint-type-functions)))
	   (write t)
	   (write x)
	   (newline)
	   t))
       type-examples))
(set! i 0)
(define j 0)
(for-each (lambda (x y)
	    (set! j (+ 1 j))
	    (set! i 0)
	    (for-each (lambda (f)
			(set! i (+ 1 i))
			(cond ((and (= i j))
			       (cond ((not (f x)) (test #t f x))))
			      ((f x) (test #f f x)))
			(cond ((and (= i j))
			       (cond ((not (f y)) (test #t f y))))
			      ((f y) (test #f f y))))
		      disjoint-type-functions))
	  (list #t #\a '() 9739 '(test) record-error "test" 'car '#(a b c))
	  (list #f #\newline '() -3252 '(t . t) car "" 'nil '#()))
(SECTION 4 1 2)
(test '(quote a) 'quote (quote 'a))
(test '(quote a) 'quote ''a)
(SECTION 4 1 3)
(test 12 (if #f + *) 3 4)
(SECTION 4 1 4)
(test 8 (lambda (x) (+ x x)) 4)
(define reverse-subtract
  (lambda (x y) (- y x)))
(test 3 reverse-subtract 7 10)
(define add4
  (let ((x 4))
    (lambda (y) (+ x y))))
(test 10 add4 6)
(test '(3 4 5 6) (lambda x x) 3 4 5 6)
(test '(5 6) (lambda (x y . z) z) 3 4 5 6)
(SECTION 4 1 5)
(test 'yes 'if (if (> 3 2) 'yes 'no))
(test 'no 'if (if (> 2 3) 'yes 'no))
(test '1 'if (if (> 3 2) (- 3 2) (+ 3 2)))
(SECTION 4 1 6)
(define x 2)
(test 3 'define (+ x 1))
(set! x 4)
(test 5 'set! (+ x 1))
(SECTION 4 2 1)
(test 'greater 'cond (cond ((> 3 2) 'greater)
			   ((< 3 2) 'less)))
(test 'equal 'cond (cond ((> 3 3) 'greater)
			 ((< 3 3) 'less)
			 (else 'equal)))
(test 2 'cond (cond ((assv 'b '((a 1) (b 2))) => cadr)
		     (else #f)))
(test 'composite 'case (case (* 2 3)
			 ((2 3 5 7) 'prime)
			 ((1 4 6 8 9) 'composite)))
(test 'consonant 'case (case (car '(c d))
			 ((a e i o u) 'vowel)
			 ((w y) 'semivowel)
			 (else 'consonant)))
(test #t 'and (and (= 2 2) (> 2 1)))
(test #f 'and (and (= 2 2) (< 2 1)))
(test '(f g) 'and (and 1 2 'c '(f g)))
(test #t 'and (and))
(test #t 'or (or (= 2 2) (> 2 1)))
(test #t 'or (or (= 2 2) (< 2 1)))
(test #f 'or (or #f #f #f))
(test #f 'or (or))
(test '(b c) 'or (or (memq 'b '(a b c)) (+ 3 0)))
(SECTION 4 2 2)
(test 6 'let (let ((x 2) (y 3)) (* x y)))
(test 35 'let (let ((x 2) (y 3)) (let ((x 7) (z (+ x y))) (* z x))))
(test 70 'let* (let ((x 2) (y 3)) (let* ((x 7) (z (+ x y))) (* z x))))
(test #t 'letrec (letrec ((even?
			   (lambda (n) (if (zero? n) #t (odd? (- n 1)))))
			  (odd?
			   (lambda (n) (if (zero? n) #f (even? (- n 1))))))
		   (even? 88)))
(define x 34)
(test 5 'let (let ((x 3)) (define x 5) x))
(test 34 'let x)
(test 6 'let (let () (define x 6) x))
(test 34 'let x)
(test 34 'let (let ((x x)) x))
(test 7 'let* (let* ((x 3)) (define x 7) x))
(test 34 'let* x)
(test 8 'let* (let* () (define x 8) x))
(test 34 'let* x)
(test 9 'letrec (letrec () (define x 9) x))
(test 34 'letrec x)
(test 10 'letrec (letrec ((x 3)) (define x 10) x))
(test 34 'letrec x)
(define (s x) (if x (let () (set! s x) (set! x s))))
(SECTION 4 2 3)
(define x 0)
(test 6 'begin (begin (set! x (begin (begin 5)))
		      (begin ((begin +) (begin x) (begin (begin 1))))))
(SECTION 4 2 4)
(test '#(0 1 2 3 4) 'do (do ((vec (make-vector 5))
			    (i 0 (+ i 1)))
			   ((= i 5) vec)
			 (vector-set! vec i i)))
(test 25 'do (let ((x '(1 3 5 7 9)))
	       (do ((x x (cdr x))
		    (sum 0 (+ sum (car x))))
		   ((null? x) sum))))
(test 1 'let (let foo () 1))
(test '((6 1 3) (-5 -2)) 'let
      (let loop ((numbers '(3 -2 1 6 -5))
		 (nonneg '())
		 (neg '()))
	(cond ((null? numbers) (list nonneg neg))
	      ((negative? (car numbers))
	       (loop (cdr numbers)
		     nonneg
		     (cons (car numbers) neg)))
	      (else
	       (loop (cdr numbers)
		     (cons (car numbers) nonneg)
		     neg)))))
;;From: Allegro Petrofsky <Allegro@Petrofsky.Berkeley.CA.US>
(test -1 'let (let ((f -)) (let f ((n (f 1))) n)))

(SECTION 4 2 6)
(test '(list 3 4) 'quasiquote `(list ,(+ 1 2) 4))
(test '(list a (quote a)) 'quasiquote (let ((name 'a)) `(list ,name ',name)))
(test '(a 3 4 5 6 b) 'quasiquote `(a ,(+ 1 2) ,@(map abs '(4 -5 6)) b))
(test '((foo 7) . cons)
	'quasiquote
	`((foo ,(- 10 3)) ,@(cdr '(c)) . ,(car '(cons))))

;;; sqt is defined here because not all implementations are required to
;;; support it.
(define (sqt x)
	(do ((i 0 (+ i 1)))
	    ((> (* i i) x) (- i 1))))

(test '#(10 5 2 4 3 8) 'quasiquote `#(10 5 ,(sqt 4) ,@(map sqt '(16 9)) 8))
(test 5 'quasiquote `,(+ 2 3))
(test '(a `(b ,(+ 1 2) ,(foo 4 d) e) f)
      'quasiquote `(a `(b ,(+ 1 2) ,(foo ,(+ 1 3) d) e) f))
(test '(a `(b ,x ,'y d) e) 'quasiquote
	(let ((name1 'x) (name2 'y)) `(a `(b ,,name1 ,',name2 d) e)))
(test '(list 3 4) 'quasiquote (quasiquote (list (unquote (+ 1 2)) 4)))
(test '`(list ,(+ 1 2) 4) 'quasiquote '(quasiquote (list (unquote (+ 1 2)) 4)))
(SECTION 5 2 1)
(define (tprint x) #t)
(test #t 'tprint (tprint 56))
(define add3 (lambda (x) (+ x 3)))
(test 6 'define (add3 3))
(define first car)
(test 1 'define (first '(1 2)))
(define foo (lambda () 9))
(test 9 'define (foo))
(define foo foo)
(test 9 'define (foo))
(define foo (let ((foo foo)) (lambda () (+ 1 (foo)))))
(test 10 'define (foo))
(define old-+ +)
(begin (begin (begin)
	      (begin (begin (begin) (define + (lambda (x y) (list y x)))
			    (begin)))
	      (begin))
       (begin)
       (begin (begin (begin) (test '(3 6) add3 6)
		     (begin))))
(set! + old-+)
(test 9 add3 6)
(begin)
(begin (begin))
(begin (begin (begin (begin))))
(SECTION 5 2 2)
(test 45 'define
      (let ((x 5))
	(begin (begin (begin)
		      (begin (begin (begin) (define foo (lambda (y) (bar x y)))
				    (begin)))
		      (begin))
	       (begin)
	       (begin)
	       (begin (define bar (lambda (a b) (+ (* a b) a))))
	       (begin))
	(begin)
	(begin (foo (+ x 3)))))
(define x 34)
(define (foo) (define x 5) x)
(test 5 foo)
(test 34 'define x)
(define foo (lambda () (define x 5) x))
(test 5 foo)
(test 34 'define x)
(define (foo x) ((lambda () (define x 5) x)) x)
(test 88 foo 88)
(test 4 foo 4)
(test 34 'define x)
(test 99 'internal-define (letrec ((foo (lambda (arg)
					  (or arg (and (procedure? foo)
						       (foo 99))))))
			    (define bar (foo #f))
			    (foo #f)))
(test 77 'internal-define (letrec ((foo 77)
				   (bar #f)
				   (retfoo (lambda () foo)))
			    (define baz (retfoo))
			    (retfoo)))
(SECTION 6 1)
(test #f not #t)
(test #f not 3)
(test #f not (list 3))
(test #t not #f)
(test #f not '())
(test #f not (list))
(test #f not 'nil)

;(test #t boolean? #f)
;(test #f boolean? 0)
;(test #f boolean? '())
(SECTION 6 2)
(test #t eqv? 'a 'a)
(test #f eqv? 'a 'b)
(test #t eqv? 2 2)
(test #t eqv? '() '())
(test #t eqv? '10000 '10000)
(test #f eqv? (cons 1 2)(cons 1 2))
(test #f eqv? (lambda () 1) (lambda () 2))
(test #f eqv? #f 'nil)
(let ((p (lambda (x) x)))
  (test #t eqv? p p))
(define gen-counter
 (lambda ()
   (let ((n 0))
      (lambda () (set! n (+ n 1)) n))))
(let ((g (gen-counter))) (test #t eqv? g g))
(test #f eqv? (gen-counter) (gen-counter))
(letrec ((f (lambda () (if (eqv? f g) 'f 'both)))
	 (g (lambda () (if (eqv? f g) 'g 'both))))
  (test #f eqv? f g))

(test #t eq? 'a 'a)
(test #f eq? (list 'a) (list 'a))
(test #t eq? '() '())
(test #t eq? car car)
(let ((x '(a))) (test #t eq? x x))
(let ((x '#())) (test #t eq? x x))
(let ((x (lambda (x) x))) (test #t eq? x x))

(define test-eq?-eqv?-agreement
  (lambda (obj1 obj2)
    (cond ((eq? (eq? obj1 obj2) (eqv? obj1 obj2)))
	  (else
	   (record-error (list #f #t (list 'test-eq?-eqv?-agreement obj1 obj2)))
	   (display "eqv? and eq? disagree about ")
	   (write obj1)
	   (display #\space)
	   (write obj2)
	   (newline)))))

(test-eq?-eqv?-agreement '#f '#f)
(test-eq?-eqv?-agreement '#t '#t)
(test-eq?-eqv?-agreement '#t '#f)
(test-eq?-eqv?-agreement '(a) '(a))
(test-eq?-eqv?-agreement '(a) '(b))
(test-eq?-eqv?-agreement car car)
(test-eq?-eqv?-agreement car cdr)
(test-eq?-eqv?-agreement (list 'a) (list 'a))
(test-eq?-eqv?-agreement (list 'a) (list 'b))
(test-eq?-eqv?-agreement '#(a) '#(a))
(test-eq?-eqv?-agreement '#(a) '#(b))
(test-eq?-eqv?-agreement "abc" "abc")
(test-eq?-eqv?-agreement "abc" "abz")

(test #t equal? 'a 'a)
(test #t equal? '(a) '(a))
(test #t equal? '(a (b) c) '(a (b) c))
(test #t equal? "abc" "abc")
(test #t equal? 2 2)
(test #t equal? (make-vector 5 'a) (make-vector 5 'a))
(SECTION 6 3)
(test '(a b c d e) 'dot '(a . (b . (c . (d . (e . ()))))))
(define x (list 'a 'b 'c))
(define y x)
(and list? (test #t list? y))
(set-cdr! x 4)
(test '(a . 4) 'set-cdr! x)
(test #t eqv? x y)
(test '(a b c . d) 'dot '(a . (b . (c . d))))
(and list? (test #f list? y))
(and list? (let ((x (list 'a))) (set-cdr! x x) (test #f 'list? (list? x))))

;(test #t pair? '(a . b))
;(test #t pair? '(a . 1))
;(test #t pair? '(a b c))
;(test #f pair? '())
;(test #f pair? '#(a b))

(test '(a) cons 'a '())
(test '((a) b c d) cons '(a) '(b c d))
(test '("a" b c) cons "a" '(b c))
(test '(a . 3) cons 'a 3)
(test '((a b) . c) cons '(a b) 'c)

(test 'a car '(a b c))
(test '(a) car '((a) b c d))
(test 1 car '(1 . 2))

(test '(b c d) cdr '((a) b c d))
(test 2 cdr '(1 . 2))

(test '(a 7 c) list 'a (+ 3 4) 'c)
(test '() list)

(test 3 length '(a b c))
(test 3 length '(a (b) (c d e)))
(test 0 length '())

(test '(x y) append '(x) '(y))
(test '(a b c d) append '(a) '(b c d))
(test '(a (b) (c)) append '(a (b)) '((c)))
(test '() append)
(test '(a b c . d) append '(a b) '(c . d))
(test 'a append '() 'a)

(test '(c b a) reverse '(a b c))
(test '((e (f)) d (b c) a) reverse '(a (b c) d (e (f))))

(test 'c list-ref '(a b c d) 2)

(test '(a b c) memq 'a '(a b c))
(test '(b c) memq 'b '(a b c))
(test '#f memq 'a '(b c d))
(test '#f memq (list 'a) '(b (a) c))
(test '((a) c) member (list 'a) '(b (a) c))
(test '(101 102) memv 101 '(100 101 102))

(define e '((a 1) (b 2) (c 3)))
(test '(a 1) assq 'a e)
(test '(b 2) assq 'b e)
(test #f assq 'd e)
(test #f assq (list 'a) '(((a)) ((b)) ((c))))
(test '((a)) assoc (list 'a) '(((a)) ((b)) ((c))))
(test '(5 7) assv 5 '((2 3) (5 7) (11 13)))
(SECTION 6 4)
;(test #t symbol? 'foo)
(test #t symbol? (car '(a b)))
;(test #f symbol? "bar")
;(test #t symbol? 'nil)
;(test #f symbol? '())
;(test #f symbol? #f)
;;; But first, what case are symbols in?  Determine the standard case:
(define char-standard-case char-upcase)
(if (string=? (symbol->string 'A) "a")
    (set! char-standard-case char-downcase))
(test #t 'standard-case
      (string=? (symbol->string 'a) (symbol->string 'A)))
(test #t 'standard-case
      (or (string=? (symbol->string 'a) "A")
	  (string=? (symbol->string 'A) "a")))
(define (str-copy s)
  (let ((v (make-string (string-length s))))
    (do ((i (- (string-length v) 1) (- i 1)))
	((< i 0) v)
      (string-set! v i (string-ref s i)))))
(define (string-standard-case s)
  (set! s (str-copy s))
  (do ((i 0 (+ 1 i))
       (sl (string-length s)))
      ((>= i sl) s)
      (string-set! s i (char-standard-case (string-ref s i)))))
(test (string-standard-case "flying-fish") symbol->string 'flying-fish)
(test (string-standard-case "martin") symbol->string 'Martin)
(test "Malvina" symbol->string (string->symbol "Malvina"))
(test #t 'standard-case (eq? 'a 'A))

(define x (string #\a #\b))
(define y (string->symbol x))
(string-set! x 0 #\c)
(test "cb" 'string-set! x)
(test "ab" symbol->string y)
(test y string->symbol "ab")

(test #t eq? 'mISSISSIppi 'mississippi)
(test #f 'string->symbol (eq? 'bitBlt (string->symbol "bitBlt")))
(test 'JollyWog string->symbol (symbol->string 'JollyWog))

(SECTION 6 5 5)
(test #t number? 3)
(test #t complex? 3)
(test #t real? 3)
(test #t rational? 3)
(test #t integer? 3)

(test #t exact? 3)
(test #f inexact? 3)

(test 1 expt 0 0)
(test 0 expt 0 1)
(test 0 expt 0 256)
;;(test 0 expt 0 -255)
(test 1 expt -1 256)
(test -1 expt -1 255)
(test 1 expt -1 -256)
(test -1 expt -1 -255)
(test 1 expt 256 0)
(test 1 expt -256 0)
(test 256 expt 256 1)
(test -256 expt -256 1)
(test 8 expt 2 3)
(test -8 expt -2 3)
(test 9 expt 3 2)
(test 9 expt -3 2)

(test #t = 22 22 22)
(test #t = 22 22)
(test #f = 34 34 35)
(test #f = 34 35)
(test #t > 3 -6246)
(test #f > 9 9 -2424)
(test #t >= 3 -4 -6246)
(test #t >= 9 9)
(test #f >= 8 9)
(test #t < -1 2 3 4 5 6 7 8)
(test #f < -1 2 3 4 4 5 6 7)
(test #t <= -1 2 3 4 5 6 7 8)
(test #t <= -1 2 3 4 4 5 6 7)
(test #f < 1 3 2)
(test #f >= 1 3 2)

(test #t zero? 0)
(test #f zero? 1)
(test #f zero? -1)
(test #f zero? -100)
(test #t positive? 4)
(test #f positive? -4)
(test #f positive? 0)
(test #f negative? 4)
(test #t negative? -4)
(test #f negative? 0)
(test #t odd? 3)
(test #f odd? 2)
(test #f odd? -4)
(test #t odd? -1)
(test #f even? 3)
(test #t even? 2)
(test #t even? -4)
(test #f even? -1)

(test 38 max 34 5 7 38 6)
(test -24 min 3  5 5 330 4 -24)

(test 7 + 3 4)
(test '3 + 3)
(test 0 +)
(test 4 * 4)
(test 1 *)

(test -1 - 3 4)
(test -3 - 3)
(test 7 abs -7)
(test 7 abs 7)
(test 0 abs 0)

(test 5 quotient 35 7)
(test -5 quotient -35 7)
(test -5 quotient 35 -7)
(test 5 quotient -35 -7)
(test 1 modulo 13 4)
(test 1 remainder 13 4)
(test 3 modulo -13 4)
(test -1 remainder -13 4)
(test -3 modulo 13 -4)
(test 1 remainder 13 -4)
(test -1 modulo -13 -4)
(test -1 remainder -13 -4)
(test 0 modulo 0 86400)
(test 0 modulo 0 -86400)
(define (divtest n1 n2)
	(= n1 (+ (* n2 (quotient n1 n2))
		 (remainder n1 n2))))
(test #t divtest 238 9)
(test #t divtest -238 9)
(test #t divtest 238 -9)
(test #t divtest -238 -9)

(test 4 gcd 0 4)
(test 4 gcd -4 0)
(test 4 gcd 32 -36)
(test 0 gcd)
(test 288 lcm 32 -36)
(test 1 lcm)

(SECTION 6 5 5)
;;; Implementations which don't allow division by 0 can have fragile
;;; string->number.
(define (test-string->number str)
  (define ans (string->number str))
  (cond ((not ans) #t) ((number? ans) #t) (else ans)))
(for-each (lambda (str) (test #t test-string->number str))
	  '("+#.#" "-#.#" "#.#" "1/0" "-1/0" "0/0"
	    "+1/0i" "-1/0i" "0/0i" "0/0-0/0i" "1/0-1/0i" "-1/0+1/0i"
	    "#i" "#e" "#" "#i0/0"))
(cond ((number? (string->number "1+1i")) ;More kawa bait
       (test #t number? (string->number "#i-i"))
       (test #t number? (string->number "#i+i"))
       (test #t number? (string->number "#i2+i"))))

;;;;From: fred@sce.carleton.ca (Fred J Kaudel)
;;; Modified by jaffer.
(define (test-inexact)
  (define f3.9 (string->number "3.9"))
  (define f4.0 (string->number "4.0"))
  (define f-3.25 (string->number "-3.25"))
  (define f.25 (string->number ".25"))
  (define f4.5 (string->number "4.5"))
  (define f3.5 (string->number "3.5"))
  (define f0.0 (string->number "0.0"))
  (define f0.8 (string->number "0.8"))
  (define f1.0 (string->number "1.0"))
  (define f1e300 (and (string->number "1+3i") (string->number "1e300")))
  (define f1e-300 (and (string->number "1+3i") (string->number "1e-300")))
  (define wto write-test-obj)
  (define lto load-test-obj)
  (newline)
  (display ";testing inexact numbers; ")
  (newline)
  (SECTION 6 2)
  (test #f eqv? 1 f1.0)
  (test #f eqv? 0 f0.0)
  (test #t eqv? f0.0 f0.0)
  (cond ((= f0.0 (- f0.0))
	 (test #t eqv? f0.0 (- f0.0))
	 (test #t equal? f0.0 (- f0.0))))
  (cond ((= f0.0 (* -5 f0.0))
	 (test #t eqv? f0.0 (* -5 f0.0))
	 (test #t equal? f0.0 (* -5 f0.0))))
  (SECTION 6 5 5)
  (and f1e300
       (let ((f1e300+1e300i (make-rectangular f1e300 f1e300)))
	 (test f1.0 'magnitude (/ (magnitude f1e300+1e300i)
				  (* f1e300 (sqrt 2))))
	 (test f.25 / f1e300+1e300i (* 4 f1e300+1e300i))))
  (and f1e-300
       (let ((f1e-300+1e-300i (make-rectangular f1e-300 f1e-300)))
	 (test f1.0 'magnitude (round (/ (magnitude f1e-300+1e-300i)
					 (* f1e-300 (sqrt 2)))))
	 (test f.25 / f1e-300+1e-300i (* 4 f1e-300+1e-300i))))
  (test #t = f0.0 f0.0)
  (test #t = f0.0 (- f0.0))
  (test #t = f0.0 (* -5 f0.0))
  (test #t inexact? f3.9)
  (test #t 'max (inexact? (max f3.9 4)))
  (test f4.0 max f3.9 4)
  (test f4.0 exact->inexact 4)
  (test f4.0 exact->inexact 4.0)
  (test 4 inexact->exact 4)
  (test 4 inexact->exact 4.0)
  (test (- f4.0) round (- f4.5))
  (test (- f4.0) round (- f3.5))
  (test (- f4.0) round (- f3.9))
  (test f0.0 round f0.0)
  (test f0.0 round f.25)
  (test f1.0 round f0.8)
  (test f4.0 round f3.5)
  (test f4.0 round f4.5)

  ;;(test f1.0 expt f0.0 f0.0)
  ;;(test f1.0 expt f0.0 0)
  ;;(test f1.0 expt 0    f0.0)
  (test f0.0 expt f0.0 f1.0)
  (test f0.0 expt f0.0 1)
  (test f0.0 expt 0    f1.0)
  (test f1.0 expt -25  f0.0)
  (test f1.0 expt f-3.25 f0.0)
  (test f1.0 expt f-3.25 0)
  ;;(test f0.0 expt f0.0 f-3.25)

  (test (atan 1) atan 1 1)
  (set! write-test-obj (list f.25 f-3.25)) ;.25 inexact errors less likely.
  (set! load-test-obj (list 'define 'foo (list 'quote write-test-obj)))
  (test #t call-with-output-file
	"tmp3"
	(lambda (test-file)
	  (write-char #\; test-file)
	  (display #\; test-file)
	  (display ";" test-file)
	  (write write-test-obj test-file)
	  (newline test-file)
	  (write load-test-obj test-file)
	  (output-port? test-file)))
  (check-test-file "tmp3")
  (set! write-test-obj wto)
  (set! load-test-obj lto)
  (let ((x (string->number "4195835.0"))
	(y (string->number "3145727.0")))
    (test #t 'pentium-fdiv-bug (> f1.0 (- x (* (/ x y) y)))))
  (report-errs))

(define (test-inexact-printing)
  (let ((f0.0 (string->number "0.0"))
	(f0.5 (string->number "0.5"))
	(f1.0 (string->number "1.0"))
	(f2.0 (string->number "2.0")))
    (define log2
      (let ((l2 (log 2)))
	(lambda (x) (/ (log x) l2))))

    (define (slow-frexp x)
      (if (zero? x)
	  (list f0.0 0)
	  (let* ((l2 (log2 x))
		 (e (floor (log2 x)))
		 (e (if (= l2 e)
			(inexact->exact e)
			(+ (inexact->exact e) 1)))
		 (f (/ x (expt 2 e))))
	    (list f e))))

    (define float-precision
      (let ((mantissa-bits
	     (do ((i 0 (+ i 1))
		  (eps f1.0 (* f0.5 eps)))
		 ((= f1.0 (+ f1.0 eps))
		  i)))
	    (minval
	     (do ((x f1.0 (* f0.5 x)))
		 ((zero? (* f0.5 x)) x))))
	(lambda (x)
	  (apply (lambda (f e)
		   (let ((eps
			  (cond ((= f1.0 f) (expt f2.0 (+ 1 (- e mantissa-bits))))
				((zero? f) minval)
				(else (expt f2.0 (- e mantissa-bits))))))
		     (if (zero? eps)	;Happens if gradual underflow.
			 minval
			 eps)))
		 (slow-frexp x)))))

    (define (float-print-test x)
      (define (testit number)
	(eqv? number (string->number (number->string number))))
      (let ((eps (float-precision x))
	    (all-ok? #t))
	(do ((j -100 (+ j 1)))
	    ((or (not all-ok?) (> j 100)) all-ok?)
	  (let* ((xx (+ x (* j eps)))
		 (ok? (testit xx)))
	    (cond ((not ok?)
		   (display "Number readback failure for ")
		   (display `(+ ,x (* ,j ,eps)))
		   (newline)
		   (display xx)
		   (newline)
		   (set! all-ok? #f))
		  ;;   (else (display xx) (newline))
		  )))))

    (define (mult-float-print-test x)
      (let ((res #t))
	(for-each
	 (lambda (mult)
	   (or (float-print-test (* mult x)) (set! res #f)))
	 (map string->number
	      '("1.0" "10.0" "100.0" "1.0e20" "1.0e50" "1.0e100"
		"0.1" "0.01" "0.001" "1.0e-20" "1.0e-50" "1.0e-100")))
	res))

    (SECTION 6 5 6)
    (test #t 'float-print-test (float-print-test f0.0))
    (test #t 'mult-float-print-test (mult-float-print-test f1.0))
    (test #t 'mult-float-print-test (mult-float-print-test
				     (string->number "3.0")))
    (test #t 'mult-float-print-test (mult-float-print-test
				     (string->number "7.0")))
    (test #t 'mult-float-print-test (mult-float-print-test
				     (string->number "3.1415926535897931")))
    (test #t 'mult-float-print-test (mult-float-print-test
				     (string->number "2.7182818284590451")))))

(define (test-bignum)
  (define tb
    (lambda (n1 n2)
      (= n1 (+ (* n2 (quotient n1 n2))
	       (remainder n1 n2)))))
  (define b3-3 (string->number "33333333333333333333"))
  (define b3-2 (string->number "33333333333333333332"))
  (define b3-0 (string->number "33333333333333333330"))
  (define b2-0 (string->number "2177452800"))
  (newline)
  (display ";testing bignums; ")
  (newline)
  (SECTION 6 5 7)
  (test 0 modulo b3-3 3)
  (test 0 modulo b3-3 -3)
  (test 0 remainder b3-3 3)
  (test 0 remainder b3-3 -3)
  (test 2 modulo b3-2 3)
  (test -1 modulo b3-2 -3)
  (test 2 remainder b3-2 3)
  (test 2 remainder b3-2 -3)
  (test 1 modulo (- b3-2) 3)
  (test -2 modulo (- b3-2) -3)
  (test -2 remainder (- b3-2) 3)
  (test -2 remainder (- b3-2) -3)

  (test 3 modulo 3 b3-3)
  (test b3-0 modulo -3 b3-3)
  (test 3 remainder 3 b3-3)
  (test -3 remainder -3 b3-3)
  (test (- b3-0) modulo 3 (- b3-3))
  (test -3 modulo -3 (- b3-3))
  (test 3 remainder 3 (- b3-3))
  (test -3 remainder -3 (- b3-3))

  (test 0 modulo (- b2-0) 86400)
  (test 0 modulo b2-0 -86400)
  (test 0 modulo b2-0 86400)
  (test 0 modulo (- b2-0) -86400)
  (test 0 modulo  0 (- b2-0))
  (test #t 'remainder (tb (string->number "281474976710655325431") 65535))
  (test #t 'remainder (tb (string->number "281474976710655325430") 65535))

  (let ((n (string->number
	    "30414093201713378043612608166064768844377641568960512")))
    (and n (exact? n)
	 (do ((pow3 1 (* 3 pow3))
	      (cnt 21 (+ -1 cnt)))
	     ((negative? cnt)
	      (zero? (modulo n pow3))))))

  (SECTION 6 5 8)
  (test "281474976710655325431" number->string
	(string->number "281474976710655325431"))
  (report-errs))

(define (test-numeric-predicates)
  (let* ((big-ex (expt 2 150))
	 (big-inex (exact->inexact big-ex)))
    (newline)
    (display ";testing bignum-inexact comparisons;")
    (newline)
    (SECTION 6 5 5)
    (test #f = (+ big-ex 1) big-inex (- big-ex 1))
    (test #f = big-inex (+ big-ex 1) (- big-ex 1))
    (test #t < (- (inexact->exact big-inex) 1)
	  big-inex
	  (+ (inexact->exact big-inex) 1))))


(SECTION 6 5 9)
(test "0" number->string 0)
(test "100" number->string 100)
(test "100" number->string 256 16)
(test 100 string->number "100")
(test 256 string->number "100" 16)
(test #f string->number "")
(test #f string->number ".")
(test #f string->number "d")
(test #f string->number "D")
(test #f string->number "i")
(test #f string->number "I")
(test #f string->number "3i")
(test #f string->number "3I")
(test #f string->number "33i")
(test #f string->number "33I")
(test #f string->number "3.3i")
(test #f string->number "3.3I")
(test #f string->number "-")
(test #f string->number "+")
(test #t 'string->number (or (not (string->number "80000000" 16))
			     (positive? (string->number "80000000" 16))))
(test #t 'string->number (or (not (string->number "-80000000" 16))
			     (negative? (string->number "-80000000" 16))))

(SECTION 6 6)
(test #t eqv? '#\  #\Space)
(test #t eqv? #\space '#\Space)
(test #t char? #\a)
(test #t char? #\()
(test #t char? #\space)
(test #t char? '#\newline)

(test #f char=? #\A #\B)
(test #f char=? #\a #\b)
(test #f char=? #\9 #\0)
(test #t char=? #\A #\A)

(test #t char<? #\A #\B)
(test #t char<? #\a #\b)
(test #f char<? #\9 #\0)
(test #f char<? #\A #\A)

(test #f char>? #\A #\B)
(test #f char>? #\a #\b)
(test #t char>? #\9 #\0)
(test #f char>? #\A #\A)

(test #t char<=? #\A #\B)
(test #t char<=? #\a #\b)
(test #f char<=? #\9 #\0)
(test #t char<=? #\A #\A)

(test #f char>=? #\A #\B)
(test #f char>=? #\a #\b)
(test #t char>=? #\9 #\0)
(test #t char>=? #\A #\A)

(test #f char-ci=? #\A #\B)
(test #f char-ci=? #\a #\B)
(test #f char-ci=? #\A #\b)
(test #f char-ci=? #\a #\b)
(test #f char-ci=? #\9 #\0)
(test #t char-ci=? #\A #\A)
(test #t char-ci=? #\A #\a)

(test #t char-ci<? #\A #\B)
(test #t char-ci<? #\a #\B)
(test #t char-ci<? #\A #\b)
(test #t char-ci<? #\a #\b)
(test #f char-ci<? #\9 #\0)
(test #f char-ci<? #\A #\A)
(test #f char-ci<? #\A #\a)

(test #f char-ci>? #\A #\B)
(test #f char-ci>? #\a #\B)
(test #f char-ci>? #\A #\b)
(test #f char-ci>? #\a #\b)
(test #t char-ci>? #\9 #\0)
(test #f char-ci>? #\A #\A)
(test #f char-ci>? #\A #\a)

(test #t char-ci<=? #\A #\B)
(test #t char-ci<=? #\a #\B)
(test #t char-ci<=? #\A #\b)
(test #t char-ci<=? #\a #\b)
(test #f char-ci<=? #\9 #\0)
(test #t char-ci<=? #\A #\A)
(test #t char-ci<=? #\A #\a)

(test #f char-ci>=? #\A #\B)
(test #f char-ci>=? #\a #\B)
(test #f char-ci>=? #\A #\b)
(test #f char-ci>=? #\a #\b)
(test #t char-ci>=? #\9 #\0)
(test #t char-ci>=? #\A #\A)
(test #t char-ci>=? #\A #\a)

(test #t char-alphabetic? #\a)
(test #t char-alphabetic? #\A)
(test #t char-alphabetic? #\z)
(test #t char-alphabetic? #\Z)
(test #f char-alphabetic? #\0)
(test #f char-alphabetic? #\9)
(test #f char-alphabetic? #\space)
(test #f char-alphabetic? #\;)

(test #f char-numeric? #\a)
(test #f char-numeric? #\A)
(test #f char-numeric? #\z)
(test #f char-numeric? #\Z)
(test #t char-numeric? #\0)
(test #t char-numeric? #\9)
(test #f char-numeric? #\space)
(test #f char-numeric? #\;)

(test #f char-whitespace? #\a)
(test #f char-whitespace? #\A)
(test #f char-whitespace? #\z)
(test #f char-whitespace? #\Z)
(test #f char-whitespace? #\0)
(test #f char-whitespace? #\9)
(test #t char-whitespace? #\space)
(test #f char-whitespace? #\;)

(test #f char-upper-case? #\0)
(test #f char-upper-case? #\9)
(test #f char-upper-case? #\space)
(test #f char-upper-case? #\;)

(test #f char-lower-case? #\0)
(test #f char-lower-case? #\9)
(test #f char-lower-case? #\space)
(test #f char-lower-case? #\;)

(test #\. integer->char (char->integer #\.))
(test #\A integer->char (char->integer #\A))
(test #\a integer->char (char->integer #\a))
(test #\A char-upcase #\A)
(test #\A char-upcase #\a)
(test #\a char-downcase #\A)
(test #\a char-downcase #\a)
(SECTION 6 7)
(test #t string? "The word \"recursion\\\" has many meanings.")
;(test #t string? "")
(define f (make-string 3 #\*))
(test "?**" 'string-set! (begin (string-set! f 0 #\?) f))
(test "abc" string #\a #\b #\c)
(test "" string)
(test 3 string-length "abc")
(test #\a string-ref "abc" 0)
(test #\c string-ref "abc" 2)
(test 0 string-length "")
(test "" substring "ab" 0 0)
(test "" substring "ab" 1 1)
(test "" substring "ab" 2 2)
(test "a" substring "ab" 0 1)
(test "b" substring "ab" 1 2)
(test "ab" substring "ab" 0 2)
(test "foobar" string-append "foo" "bar")
(test "foo" string-append "foo")
(test "foo" string-append "foo" "")
(test "foo" string-append "" "foo")
(test "" string-append)
(test "" make-string 0)
(test #t string=? "" "")
(test #f string<? "" "")
(test #f string>? "" "")
(test #t string<=? "" "")
(test #t string>=? "" "")
(test #t string-ci=? "" "")
(test #f string-ci<? "" "")
(test #f string-ci>? "" "")
(test #t string-ci<=? "" "")
(test #t string-ci>=? "" "")

(test #f string=? "A" "B")
(test #f string=? "a" "b")
(test #f string=? "9" "0")
(test #t string=? "A" "A")

(test #t string<? "A" "B")
(test #t string<? "a" "b")
(test #f string<? "9" "0")
(test #f string<? "A" "A")

(test #f string>? "A" "B")
(test #f string>? "a" "b")
(test #t string>? "9" "0")
(test #f string>? "A" "A")

(test #t string<=? "A" "B")
(test #t string<=? "a" "b")
(test #f string<=? "9" "0")
(test #t string<=? "A" "A")

(test #f string>=? "A" "B")
(test #f string>=? "a" "b")
(test #t string>=? "9" "0")
(test #t string>=? "A" "A")

(test #f string-ci=? "A" "B")
(test #f string-ci=? "a" "B")
(test #f string-ci=? "A" "b")
(test #f string-ci=? "a" "b")
(test #f string-ci=? "9" "0")
(test #t string-ci=? "A" "A")
(test #t string-ci=? "A" "a")

(test #t string-ci<? "A" "B")
(test #t string-ci<? "a" "B")
(test #t string-ci<? "A" "b")
(test #t string-ci<? "a" "b")
(test #f string-ci<? "9" "0")
(test #f string-ci<? "A" "A")
(test #f string-ci<? "A" "a")

(test #f string-ci>? "A" "B")
(test #f string-ci>? "a" "B")
(test #f string-ci>? "A" "b")
(test #f string-ci>? "a" "b")
(test #t string-ci>? "9" "0")
(test #f string-ci>? "A" "A")
(test #f string-ci>? "A" "a")

(test #t string-ci<=? "A" "B")
(test #t string-ci<=? "a" "B")
(test #t string-ci<=? "A" "b")
(test #t string-ci<=? "a" "b")
(test #f string-ci<=? "9" "0")
(test #t string-ci<=? "A" "A")
(test #t string-ci<=? "A" "a")

(test #f string-ci>=? "A" "B")
(test #f string-ci>=? "a" "B")
(test #f string-ci>=? "A" "b")
(test #f string-ci>=? "a" "b")
(test #t string-ci>=? "9" "0")
(test #t string-ci>=? "A" "A")
(test #t string-ci>=? "A" "a")
(SECTION 6 8)
(test #t vector? '#(0 (2 2 2 2) "Anna"))
;(test #t vector? '#())
(test '#(a b c) vector 'a 'b 'c)
(test '#() vector)
(test 3 vector-length '#(0 (2 2 2 2) "Anna"))
(test 0 vector-length '#())
(test 8 vector-ref '#(1 1 2 3 5 8 13 21) 5)
(test '#(0 ("Sue" "Sue") "Anna") 'vector-set
	(let ((vec (vector 0 '(2 2 2 2) "Anna")))
	  (vector-set! vec 1 '("Sue" "Sue"))
	  vec))
(test '#(hi hi) make-vector 2 'hi)
(test '#() make-vector 0)
(test '#() make-vector 0 'a)
(SECTION 6 9)
(test #t procedure? car)
;(test #f procedure? 'car)
(test #t procedure? (lambda (x) (* x x)))
(test #f procedure? '(lambda (x) (* x x)))
(test #t call-with-current-continuation procedure?)
(test 7 apply + (list 3 4))
(test 7 apply (lambda (a b) (+ a b)) (list 3 4))
(test 17 apply + 10 (list 3 4))
(test '() apply list '())
(define compose (lambda (f g) (lambda args (f (apply g args)))))
(test 30 (compose sqt *) 12 75)

(test '(b e h) map cadr '((a b) (d e) (g h)))
(test '(5 7 9) map + '(1 2 3) '(4 5 6))
(test '(1 2 3) map + '(1 2 3))
(test '(1 2 3) map * '(1 2 3))
(test '(-1 -2 -3) map - '(1 2 3))
(test '#(0 1 4 9 16) 'for-each
      (let ((v (make-vector 5)))
	(for-each (lambda (i) (vector-set! v i (* i i)))
		  '(0 1 2 3 4))
	v))
(test -3 call-with-current-continuation
      (lambda (exit)
	(for-each (lambda (x) (if (negative? x) (exit x)))
		  '(54 0 37 -3 245 19))
	#t))
(define list-length
 (lambda (obj)
  (call-with-current-continuation
   (lambda (return)
    (letrec ((r (lambda (obj) (cond ((null? obj) 0)
				((pair? obj) (+ (r (cdr obj)) 1))
				(else (return #f))))))
	(r obj))))))
(test 4 list-length '(1 2 3 4))
(test #f list-length '(a b . c))
(test '() map cadr '())

;;; This tests full conformance of call-with-current-continuation.  It
;;; is a separate test because some schemes do not support call/cc
;;; other than escape procedures.  I am indebted to
;;; raja@copper.ucs.indiana.edu (Raja Sooriamurthi) for fixing this
;;; code.  The function leaf-eq? compares the leaves of 2 arbitrary
;;; trees constructed of conses.
(define (next-leaf-generator obj eot)
  (letrec ((return #f)
	   (cont (lambda (x)
		   (recur obj)
		   (set! cont (lambda (x) (return eot)))
		   (cont #f)))
	   (recur (lambda (obj)
		      (if (pair? obj)
			  (for-each recur obj)
			  (call-with-current-continuation
			   (lambda (c)
			     (set! cont c)
			     (return obj)))))))
    (lambda () (call-with-current-continuation
		(lambda (ret) (set! return ret) (cont #f))))))
(define (leaf-eq? x y)
  (let* ((eot (list 'eot))
	 (xf (next-leaf-generator x eot))
	 (yf (next-leaf-generator y eot)))
    (letrec ((loop (lambda (x y)
		     (cond ((not (eq? x y)) #f)
			   ((eq? eot x) #t)
			   (else (loop (xf) (yf)))))))
      (loop (xf) (yf)))))
(define (test-cont)
  (newline)
  (display ";testing continuations; ")
  (newline)
  (SECTION 6 9)
  (test #t leaf-eq? '(a (b (c))) '((a) b c))
  (test #f leaf-eq? '(a (b (c))) '((a) b c d))
  (report-errs))

;;; Test Optional R4RS DELAY syntax and FORCE procedure
(define (test-delay)
  (newline)
  (display ";testing DELAY and FORCE; ")
  (newline)
  (SECTION 6 9)
  (test 3 'delay (force (delay (+ 1 2))))
  (test '(3 3) 'delay (let ((p (delay (+ 1 2))))
			(list (force p) (force p))))
  (test 2 'delay (letrec ((a-stream
			   (letrec ((next (lambda (n)
					    (cons n (delay (next (+ n 1)))))))
			     (next 0)))
			  (head car)
			  (tail (lambda (stream) (force (cdr stream)))))
		   (head (tail (tail a-stream)))))
  (letrec ((count 0)
	   (p (delay (begin (set! count (+ count 1))
			    (if (> count x)
				count
				(force p)))))
	   (x 5))
    (test 6 force p)
    (set! x 10)
    (test 6 force p))
  (test 3 'force
	(letrec ((p (delay (if c 3 (begin (set! c #t) (+ (force p) 1)))))
		 (c #f))
	  (force p)))
  (report-errs))

(SECTION 6 10 1)
(test #t input-port? (current-input-port))
(test #t output-port? (current-output-port))
(test #t call-with-input-file "r4rstest.scm" input-port?)
(define this-file (open-input-file "r4rstest.scm"))
(test #t input-port? this-file)
(SECTION 6 10 2)
(test #\; peek-char this-file)
(test #\; read-char this-file)
(test '(define cur-section '()) read this-file)
(test #\( peek-char this-file)
(test '(define errs '()) read this-file)
(close-input-port this-file)
(close-input-port this-file)
(define (check-test-file name)
  (define test-file (open-input-file name))
  (test #t 'input-port?
	(call-with-input-file
	    name
	  (lambda (test-file)
	    (test load-test-obj read test-file)
	    (test #t eof-object? (peek-char test-file))
	    (test #t eof-object? (read-char test-file))
	    (input-port? test-file))))
  (test #\; read-char test-file)
  (test #\; read-char test-file)
  (test #\; read-char test-file)
  (test write-test-obj read test-file)
  (test load-test-obj read test-file)
  (close-input-port test-file))
(SECTION 6 10 3)
(define write-test-obj
  '(#t #f a () 9739 -3 . #((test) "te \" \" st" "" test #() b c)))
(define load-test-obj
  (list 'define 'foo (list 'quote write-test-obj)))
(test #t call-with-output-file
      "tmp1"
      (lambda (test-file)
	(write-char #\; test-file)
	(display #\; test-file)
	(display ";" test-file)
	(write write-test-obj test-file)
	(newline test-file)
	(write load-test-obj test-file)
	(output-port? test-file)))
(check-test-file "tmp1")

(define test-file (open-output-file "tmp2"))
(write-char #\; test-file)
(display #\; test-file)
(display ";" test-file)
(write write-test-obj test-file)
(newline test-file)
(write load-test-obj test-file)
(test #t output-port? test-file)
(close-output-port test-file)
(check-test-file "tmp2")
(define (test-sc4)
  (newline)
  (display ";testing scheme 4 functions; ")
  (newline)
  (SECTION 6 7)
  (test '(#\P #\space #\l) string->list "P l")
  (test '() string->list "")
  (test "1\\\"" list->string '(#\1 #\\ #\"))
  (test "" list->string '())
  (SECTION 6 8)
  (test '(dah dah didah) vector->list '#(dah dah didah))
  (test '() vector->list '#())
  (test '#(dididit dah) list->vector '(dididit dah))
  (test '#() list->vector '())
  (SECTION 6 10 4)
  (load "tmp1")
  (test write-test-obj 'load foo)
  (report-errs))

(report-errs)
(let ((have-inexacts?
       (and (string->number "0.0") (inexact? (string->number "0.0"))))
      (have-bignums?
       (let ((n (string->number
		 "1427247692705959881058285969449495136382746625")))
	 (and n (exact? n)))))
  (cond (have-inexacts?
	 (test-inexact)
	 (test-inexact-printing)))
  (if have-bignums? (test-bignum))
  (if (and have-inexacts? have-bignums?)
      (test-numeric-predicates)))

(newline)
(display "To fully test continuations, Scheme 4, and DELAY/FORCE do:")
(newline)
(display "(test-cont) (test-sc4) (test-delay)")
(newline)
"last item in file"