guile/test-suite/tests/arrays.test

;;;; arrays.test --- tests guile's uniform arrays     -*- scheme -*-
;;;;
;;;; Copyright 2004, 2006, 2009, 2010, 2011, 2012, 2013, 2014, 2015 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-suite test-arrays)
  #:use-module ((system base compile) #:select (compile))
  #:use-module (test-suite lib)
  #:use-module (srfi srfi-4)
  #:use-module (srfi srfi-4 gnu))

(define (array-row a i)
  (make-shared-array a (lambda (j) (list i j))
                     (cadr (array-dimensions a))))

(define (array-col a j)
  (make-shared-array a (lambda (i) (list i j))
                     (car (array-dimensions a))))

(define exception:wrong-num-indices
  (cons 'misc-error "^wrong number of indices.*"))

(define exception:length-non-negative
  (cons 'read-error ".*array length must be non-negative.*"))

(define exception:wrong-type-arg
  (cons #t "Wrong type"))

(define exception:mapping-out-of-range
  (cons 'misc-error "^mapping out of range"))  ;; per scm_make_shared_array

;;;
;;; array?
;;;

(with-test-prefix "array?"

  (let ((bool     (make-typed-array 'b    #t  '(5 6)))
	(char     (make-typed-array 'a    #\a '(5 6)))
	(byte     (make-typed-array 'u8   0   '(5 6)))
	(short    (make-typed-array 's16  0   '(5 6)))
	(ulong    (make-typed-array 'u32  0   '(5 6)))
	(long     (make-typed-array 's32  0   '(5 6)))
	(longlong (make-typed-array 's64  0   '(5 6)))
	(float    (make-typed-array 'f32  0   '(5 6)))
	(double   (make-typed-array 'f64  0   '(5 6)))
	(complex  (make-typed-array 'c64  0   '(5 6)))
	(scm      (make-typed-array #t    0   '(5 6))))

    (with-test-prefix "is bool"
      (pass-if (eq? #t (typed-array? bool     'b)))
      (pass-if (eq? #f (typed-array? char     'b)))
      (pass-if (eq? #f (typed-array? byte     'b)))
      (pass-if (eq? #f (typed-array? short    'b)))
      (pass-if (eq? #f (typed-array? ulong    'b)))
      (pass-if (eq? #f (typed-array? long     'b)))
      (pass-if (eq? #f (typed-array? longlong 'b)))
      (pass-if (eq? #f (typed-array? float    'b)))
      (pass-if (eq? #f (typed-array? double   'b)))
      (pass-if (eq? #f (typed-array? complex  'b)))
      (pass-if (eq? #f (typed-array? scm      'b))))

    (with-test-prefix "is char"
      (pass-if (eq? #f (typed-array? bool     'a)))
      (pass-if (eq? #t (typed-array? char     'a)))
      (pass-if (eq? #f (typed-array? byte     'a)))
      (pass-if (eq? #f (typed-array? short    'a)))
      (pass-if (eq? #f (typed-array? ulong    'a)))
      (pass-if (eq? #f (typed-array? long     'a)))
      (pass-if (eq? #f (typed-array? longlong 'a)))
      (pass-if (eq? #f (typed-array? float    'a)))
      (pass-if (eq? #f (typed-array? double   'a)))
      (pass-if (eq? #f (typed-array? complex  'a)))
      (pass-if (eq? #f (typed-array? scm      'a))))

    (with-test-prefix "is byte"
      (pass-if (eq? #f (typed-array? bool     'u8)))
      (pass-if (eq? #f (typed-array? char     'u8)))
      (pass-if (eq? #t (typed-array? byte     'u8)))
      (pass-if (eq? #f (typed-array? short    'u8)))
      (pass-if (eq? #f (typed-array? ulong    'u8)))
      (pass-if (eq? #f (typed-array? long     'u8)))
      (pass-if (eq? #f (typed-array? longlong 'u8)))
      (pass-if (eq? #f (typed-array? float    'u8)))
      (pass-if (eq? #f (typed-array? double   'u8)))
      (pass-if (eq? #f (typed-array? complex  'u8)))
      (pass-if (eq? #f (typed-array? scm      'u8))))

    (with-test-prefix "is short"
      (pass-if (eq? #f (typed-array? bool     's16)))
      (pass-if (eq? #f (typed-array? char     's16)))
      (pass-if (eq? #f (typed-array? byte     's16)))
      (pass-if (eq? #t (typed-array? short    's16)))
      (pass-if (eq? #f (typed-array? ulong    's16)))
      (pass-if (eq? #f (typed-array? long     's16)))
      (pass-if (eq? #f (typed-array? longlong 's16)))
      (pass-if (eq? #f (typed-array? float    's16)))
      (pass-if (eq? #f (typed-array? double   's16)))
      (pass-if (eq? #f (typed-array? complex  's16)))
      (pass-if (eq? #f (typed-array? scm      's16))))

    (with-test-prefix "is ulong"
      (pass-if (eq? #f (typed-array? bool     'u32)))
      (pass-if (eq? #f (typed-array? char     'u32)))
      (pass-if (eq? #f (typed-array? byte     'u32)))
      (pass-if (eq? #f (typed-array? short    'u32)))
      (pass-if (eq? #t (typed-array? ulong    'u32)))
      (pass-if (eq? #f (typed-array? long     'u32)))
      (pass-if (eq? #f (typed-array? longlong 'u32)))
      (pass-if (eq? #f (typed-array? float    'u32)))
      (pass-if (eq? #f (typed-array? double   'u32)))
      (pass-if (eq? #f (typed-array? complex  'u32)))
      (pass-if (eq? #f (typed-array? scm      'u32))))

    (with-test-prefix "is long"
      (pass-if (eq? #f (typed-array? bool     's32)))
      (pass-if (eq? #f (typed-array? char     's32)))
      (pass-if (eq? #f (typed-array? byte     's32)))
      (pass-if (eq? #f (typed-array? short    's32)))
      (pass-if (eq? #f (typed-array? ulong    's32)))
      (pass-if (eq? #t (typed-array? long     's32)))
      (pass-if (eq? #f (typed-array? longlong 's32)))
      (pass-if (eq? #f (typed-array? float    's32)))
      (pass-if (eq? #f (typed-array? double   's32)))
      (pass-if (eq? #f (typed-array? complex  's32)))
      (pass-if (eq? #f (typed-array? scm      's32))))

    (with-test-prefix "is long long"
      (pass-if (eq? #f (typed-array? bool     's64)))
      (pass-if (eq? #f (typed-array? char     's64)))
      (pass-if (eq? #f (typed-array? byte     's64)))
      (pass-if (eq? #f (typed-array? short    's64)))
      (pass-if (eq? #f (typed-array? ulong    's64)))
      (pass-if (eq? #f (typed-array? long     's64)))
      (pass-if (eq? #t (typed-array? longlong 's64)))
      (pass-if (eq? #f (typed-array? float    's64)))
      (pass-if (eq? #f (typed-array? double   's64)))
      (pass-if (eq? #f (typed-array? complex  's64)))
      (pass-if (eq? #f (typed-array? scm      's64))))

    (with-test-prefix "is float"
      (pass-if (eq? #f (typed-array? bool     'f32)))
      (pass-if (eq? #f (typed-array? char     'f32)))
      (pass-if (eq? #f (typed-array? byte     'f32)))
      (pass-if (eq? #f (typed-array? short    'f32)))
      (pass-if (eq? #f (typed-array? ulong    'f32)))
      (pass-if (eq? #f (typed-array? long     'f32)))
      (pass-if (eq? #f (typed-array? longlong 'f32)))
      (pass-if (eq? #t (typed-array? float    'f32)))
      (pass-if (eq? #f (typed-array? double   'f32)))
      (pass-if (eq? #f (typed-array? complex  'f32)))
      (pass-if (eq? #f (typed-array? scm      'f32))))

    (with-test-prefix "is double"
      (pass-if (eq? #f (typed-array? bool     'f64)))
      (pass-if (eq? #f (typed-array? char     'f64)))
      (pass-if (eq? #f (typed-array? byte     'f64)))
      (pass-if (eq? #f (typed-array? short    'f64)))
      (pass-if (eq? #f (typed-array? ulong    'f64)))
      (pass-if (eq? #f (typed-array? long     'f64)))
      (pass-if (eq? #f (typed-array? longlong 'f64)))
      (pass-if (eq? #f (typed-array? float    'f64)))
      (pass-if (eq? #t (typed-array? double   'f64)))
      (pass-if (eq? #f (typed-array? complex  'f64)))
      (pass-if (eq? #f (typed-array? scm      'f64))))

    (with-test-prefix "is complex"
      (pass-if (eq? #f (typed-array? bool     'c64)))
      (pass-if (eq? #f (typed-array? char     'c64)))
      (pass-if (eq? #f (typed-array? byte     'c64)))
      (pass-if (eq? #f (typed-array? short    'c64)))
      (pass-if (eq? #f (typed-array? ulong    'c64)))
      (pass-if (eq? #f (typed-array? long     'c64)))
      (pass-if (eq? #f (typed-array? longlong 'c64)))
      (pass-if (eq? #f (typed-array? float    'c64)))
      (pass-if (eq? #f (typed-array? double   'c64)))
      (pass-if (eq? #t (typed-array? complex  'c64)))
      (pass-if (eq? #f (typed-array? scm      'c64))))

    (with-test-prefix "is scm"
      (pass-if (eq? #f (typed-array? bool     #t)))
      (pass-if (eq? #f (typed-array? char     #t)))
      (pass-if (eq? #f (typed-array? byte     #t)))
      (pass-if (eq? #f (typed-array? short    #t)))
      (pass-if (eq? #f (typed-array? ulong    #t)))
      (pass-if (eq? #f (typed-array? long     #t)))
      (pass-if (eq? #f (typed-array? longlong #t)))
      (pass-if (eq? #f (typed-array? float    #t)))
      (pass-if (eq? #f (typed-array? double   #t)))
      (pass-if (eq? #f (typed-array? complex  #t)))
      (pass-if (eq? #t (typed-array? scm      #t))))

    (with-test-prefix "typed-array? returns #f"
      (pass-if (eq? #f (typed-array? '(1 2 3) 'c64)))
      (pass-if (eq? #f (typed-array? '(1 2 3) #t)))
      (pass-if (eq? #f (typed-array? 99 'c64)))
      (pass-if (eq? #f (typed-array? 99 #t))))))

;;;
;;; array-equal?
;;;

(with-test-prefix/c&e "array-equal?"

  (pass-if "#s16(...)"
    (array-equal? #s16(1 2 3) #s16(1 2 3)))

  (pass-if "#0f64(...)"
    (array-equal? #0f64(99) (make-typed-array 'f64 99)))

  (pass-if "#0(...)"
    (array-equal? #0(99) (make-array 99))))

;;;
;;; make-shared-array
;;;

(with-test-prefix/c&e "make-shared-array"

  ;; this failed in guile 1.8.0
  (pass-if "vector unchanged"
    (let* ((a (make-array #f '(0 7)))
	   (s (make-shared-array a list '(0 7))))
      (array-equal? a s)))

  (pass-if-exception "vector, high too big" exception:mapping-out-of-range
    (let* ((a (make-array #f '(0 7))))
      (make-shared-array a list '(0 8))))

  (pass-if-exception "vector, low too big" exception:out-of-range
    (let* ((a (make-array #f '(0 7))))
      (make-shared-array a list '(-1 7))))

  (pass-if "truncate columns"
    (array-equal? (make-shared-array #2((a b c) (d e f) (g h i)) list 3 2)
		  #2((a b) (d e) (g h))))

  (pass-if "pick one column"
    (array-equal? (make-shared-array #2((a b c) (d e f) (g h i))
				     (lambda (i) (list i 2))
				     '(0 2))
		  #(c f i)))

  (pass-if "diagonal"
    (array-equal? (make-shared-array #2((a b c) (d e f) (g h i))
				     (lambda (i) (list i i))
				     '(0 2))
		  #(a e i)))

  ;; this failed in guile 1.8.0
  (pass-if "2 dims from 1 dim"
    (array-equal? (make-shared-array #1(a b c d e f g h i j k l)
				     (lambda (i j) (list (+ (* i 3) j)))
				     4 3)
		  #2((a b c) (d e f) (g h i) (j k l))))

  (pass-if "reverse columns"
    (array-equal? (make-shared-array #2((a b c) (d e f) (g h i))
				     (lambda (i j) (list i (- 2 j)))
				     3 3)
		  #2((c b a) (f e d) (i h g))))

  (pass-if "fixed offset, 0 based becomes 1 based"
    (let* ((x #2((a b c) (d e f) (g h i)))
	   (y (make-shared-array x
				 (lambda (i j) (list (1- i) (1- j)))
				 '(1 3) '(1 3))))
      (and (eq? (array-ref x 0 0) 'a)
	   (eq? (array-ref y 1 1) 'a))))

  ;; this failed in guile 1.8.0
  (pass-if "stride every third element"
    (array-equal? (make-shared-array #1(a b c d e f g h i j k l)
				     (lambda (i) (list (* i 3)))
				     4)
		  #1(a d g j)))

  (pass-if "shared of shared"
    (let* ((a  #2((1 2 3) (4 5 6) (7 8 9)))
	   (s1 (make-shared-array a (lambda (i) (list i 1)) 3))
	   (s2 (make-shared-array s1 list '(1 2))))
      (and (eqv? 5 (array-ref s2 1))
	   (eqv? 8 (array-ref s2 2))))))


;;;
;;; array-slice
;;;

(with-test-prefix/c&e "array-slice"

  (pass-if "vector I"
    (let ((v (vector 1 2 3)))
      (array-fill! (array-slice v 1) 'a)
      (array-equal? v #(1 a 3))))

  (pass-if "vector II"
    (let ((v (vector 1 2 3)))
      (array-copy! #(a b c) (array-slice v))
      (array-equal? v #(a b c))))

  (pass-if "array I"
    (let ((a (list->array 2 '((1 2 3) (4 5 6)))))
      (array-fill! (array-slice a 1 1) 'a)
      (array-equal? a #2((1 2 3) (4 a 6)))))

  (pass-if "array II"
    (let ((a (list->array 2 '((1 2 3) (4 5 6)))))
      (array-copy! #(a b c) (array-slice a 1))
      (array-equal? a #2((1 2 3) (a b c)))))

  (pass-if "array III"
    (let ((a (list->array 2 '((1 2 3) (4 5 6)))))
      (array-copy! #2((a b c) (x y z)) (array-slice a))
      (array-equal? a #2((a b c) (x y z)))))

  (pass-if "rank 0 array"
    (let ((a (make-array 77)))
      (array-fill! (array-slice a) 'a)
      (array-equal? a #0(a)))))


;;;
;;; array-cell-ref
;;;

(with-test-prefix/c&e "array-cell-ref"

  (pass-if "vector I"
    (let ((v (vector 1 2 3)))
      (equal? 2 (array-cell-ref v 1))))

  (pass-if "vector II"
    (let ((v (vector 1 2 3)))
      (array-copy! #(a b c) (array-cell-ref v))
      (array-equal? v #(a b c))))

  (pass-if "array I"
    (let ((a (list->array 2 '((1 2 3) (4 5 6)))))
      (equal? 5 (array-cell-ref a 1 1))))

  (pass-if "array II"
    (let ((a (list->array 2 '((1 2 3) (4 5 6)))))
      (array-copy! #(a b c) (array-cell-ref a 1))
      (array-equal? a #2((1 2 3) (a b c)))))

  (pass-if "array III"
    (let ((a (list->array 2 '((1 2 3) (4 5 6)))))
      (array-copy! #2((a b c) (x y z)) (array-cell-ref a))
      (array-equal? a #2((a b c) (x y z)))))

  (pass-if "rank 0 array"
    (let ((a (make-array 77)))
      (equal? (array-cell-ref a) 77))))


;;;
;;; array-cell-set!
;;;

(with-test-prefix/c&e "array-cell-set!"

  (pass-if "vector I"
    (let ((v (vector 1 2 3)))
      (and (eq? v (array-cell-set! v 'x 1))
           (array-equal? v #(1 x 3)))))

  (pass-if "vector II"
    (let ((v (vector 1 2 3)))
      (and (eq? v (array-cell-set! (array-cell-ref v) #(a b c)))
           (array-equal? v #(a b c)))))

  (pass-if "array I"
    (let ((a (list->array 2 '((1 2 3) (4 5 6)))))
      (and (eq? a (array-cell-set! a 'x 1 1))
           (array-equal? a #2((1 2 3) (4 x 6))))))

  (pass-if "array II"
    (let ((a (list->array 2 '((1 2 3) (4 5 6)))))
      (and (eq? a (array-cell-set! a #(a b c) 1))
           (array-equal? a #2((1 2 3) (a b c))))))

  (pass-if "array III"
    (let ((a (list->array 2 '((1 2 3) (4 5 6)))))
      (and (eq? a (array-cell-set! a #2((a b c) (x y z))))
           (array-equal? a #2((a b c) (x y z))))))

  (pass-if "rank 0 array"
    (let ((a (make-array 77)))
      (and (eq? a (array-cell-set! a 99))
           (array-equal? a #0(99))))))


;;;
;;; array-contents
;;;

(define (every-two x) (make-shared-array x (lambda (i) (list (* i 2))) 2))

(with-test-prefix/c&e "array-contents"

  (pass-if "0-rank array"
    (let ((a (make-vector 1 77)))
      (and
       (eq? a (array-contents (make-shared-array a (const '(0)))))
       (eq? a (array-contents (make-shared-array a (const '(0))) #t)))))

  (pass-if "plain vector"
    (let* ((a (make-array 0 4)))
      (eq? a (array-contents a))))

  (pass-if "offset vector"
    (let* ((a (make-array 0 '(1 4))))
      (array-copy! #(1 2 3 4) (array-contents a))
      (array-equal? #1@1(1 2 3 4) a)))

  (pass-if "offset vector, strict"
    (let* ((a (make-array 0 '(1 4))))
      (array-copy! #(1 2 3 4) (array-contents a #t))
      (array-equal? #1@1(1 2 3 4) a)))

  (pass-if "stepped vector"
    (let* ((a (make-array 0 4)))
      (array-copy! #(99 66) (array-contents (every-two a)))
      (array-equal? #(99 0 66 0) a)))

  ;; this failed in 2.0.9.
  (pass-if "stepped vector, strict"
    (let* ((a (make-array 0 4)))
      (not (array-contents (every-two a) #t))))

  (pass-if "plain rank 2 array"
    (let* ((a (make-array 0 2 2)))
      (array-copy! #(1 2 3 4) (array-contents a #t))
      (array-equal? #2((1 2) (3 4)) a)))

  (pass-if "offset rank 2 array"
    (let* ((a (make-array 0 '(1 2) '(1 2))))
      (array-copy! #(1 2 3 4) (array-contents a #t))
      (array-equal? #2@1@1((1 2) (3 4)) a)))

  (pass-if "transposed rank 2 array"
    (let* ((a (make-array 0 4 4)))
      (not (array-contents (transpose-array a 1 0) #t))))

  ;; This is a consequence of (array-contents? a #t) => #t.
  (pass-if "empty array"
    (let ((a (make-typed-array 'f64 2 0 0)))
      (f64vector? (array-contents a))))

  (pass-if "broadcast vector I"
    (let* ((a (make-array 0 4))
           (b (make-shared-array a (lambda (i j k) (list k)) 1 1 4)))
      (array-copy! #(1 2 3 4) (array-contents b #t))
      (array-equal? #(1 2 3 4) a)))

  (pass-if "broadcast vector II"
    (let* ((a (make-array 0 4))
           (b (make-shared-array a (lambda (i j k) (list k)) 2 1 4)))
      (not (array-contents b))))

  ;; FIXME maybe this should be allowed.
  ;; (pass-if "broadcast vector -> empty"
  ;;   (let* ((a (make-array 0 4))
  ;;          (b (make-shared-array a (lambda (i j k) (list k)) 0 1 4)))
  ;;     (if #f #f)))

  (pass-if "broadcast 2-rank I"
    (let* ((a #2((1 2 3) (4 5 6)))
           (b (make-shared-array a (lambda (i j) (list 0 j)) 2 3)))
      (not (array-contents b))))

  (pass-if "broadcast 2-rank II"
    (let* ((a #2((1 2 3) (4 5 6)))
           (b (make-shared-array a (lambda (i j) (list i 0)) 2 3)))
      (not (array-contents b))))

  (pass-if "literal array"
    (not (not (array-contents #2((1 2 3) (4 5 6)))))))


;;;
;;; shared-array-root
;;;

(define amap1 (lambda (i) (list (* 2 i))))
(define amap2 (lambda (i j) (list (+ 1 (* 2 i)) (+ 1 (* 2 j)))))

(with-test-prefix/c&e "shared-array-root"

  (pass-if "plain vector"
    (let* ((a (make-vector 4 0))
           (b (make-shared-array a amap1 2)))
      (eq? (shared-array-root a) (shared-array-root b) (array-contents a))))

  (pass-if "plain array rank 2"
    (let* ((a (make-array 0 4 4))
           (b (make-shared-array a amap2 2 2)))
      (eq? (shared-array-root a) (shared-array-root b) (array-contents a))))

  (pass-if "uniform array rank 2"
    (let* ((a (make-typed-array 'c64 0 4 4))
           (b (make-shared-array a amap2 2 2)))
      (eq? (shared-array-root a) (shared-array-root b) (array-contents a))))

  (pass-if "bit array rank 2"
    (let* ((a (make-typed-array 'b #f 4 4))
           (b (make-shared-array a amap2 2 2)))
      (eq? (shared-array-root a) (shared-array-root b) (array-contents a)))))

;;;
;;; shared-array-offset
;;;

(with-test-prefix/c&e "shared-array-offset"

  (pass-if "plain vector"
    (zero? (shared-array-offset (make-vector 4 0))))

  (pass-if "plain array rank 2"
    (zero? (shared-array-offset (make-array 0 4 4))))

  (pass-if "row of rank-2 array, I"
    (= 0 (shared-array-offset (array-row (make-array 0 5 3) 0))))

  (pass-if "row of rank-2 array, II"
    (= 4 (shared-array-offset (array-row (make-array 0 6 4) 1))))

  (pass-if "col of rank-2 array, I"
    (= 0 (shared-array-offset (array-col (make-array 0 5 3) 0))))

  (pass-if "col of rank-2 array, II"
    (= 1 (shared-array-offset (array-col (make-array 0 6 4) 1)))))


;;;
;;; shared-array-increments
;;;

(with-test-prefix "shared-array-increments"

  (pass-if "plain vector"
    (equal? '(1) (shared-array-increments (make-vector 4 0))))

  (pass-if "plain array rank 2"
    (equal? '(4 1) (shared-array-increments (make-array 0 3 4))))

  (pass-if "plain array rank 3"
    (equal? '(20 5 1) (shared-array-increments (make-array 0 3 4 5))))

  (pass-if "row of rank-2 array"
    (equal? '(1) (shared-array-increments (array-row (make-array 0 5 3) 0))))

  (pass-if "col of rank-2 array"
    (equal? '(3) (shared-array-increments (array-col (make-array 0 5 3) 0)))))


;;;
;;; transpose-array
;;;

; see strings.test.
(with-test-prefix/c&e "transpose-array"

  (pass-if-exception "non array argument" exception:wrong-type-arg
    (transpose-array 99))

  (pass-if "rank 0"
    (let* ((a #0(99))
           (b (transpose-array a)))
      (and (array-equal? a b)
           (eq? (shared-array-root a) (shared-array-root b)))))

  (pass-if "rank 1"
    (let* ((a #(1 2 3))
           (b (transpose-array a 0)))
      (and (array-equal? a b)
           (eq? (shared-array-root a) (shared-array-root b)))))

  (pass-if "rank 2"
    (let* ((a #2((1 2 3) (4 5 6)))
           (b (transpose-array a 1 0))
           (c (transpose-array a 0 1)))
      (and (array-equal? b #2((1 4) (2 5) (3 6)))
           (array-equal? c a)
           (eq? (shared-array-root a)
                (shared-array-root b)
                (shared-array-root c)))))

  ; rank > 2 is needed to check against the inverted axis index logic.
  (pass-if "rank 3"
    (let* ((a #3(((0 1 2 3) (4 5 6 7) (8 9 10 11))
                 ((12 13 14 15) (16 17 18 19) (20 21 22 23))))
           (b (transpose-array a 1 2 0)))
      (and (array-equal? b #3(((0 4 8) (12 16 20)) ((1 5 9) (13 17 21))
                              ((2 6 10) (14 18 22)) ((3 7 11) (15 19 23))))
           (eq? (shared-array-root a)
                (shared-array-root b))))))

;;;
;;; array->list
;;;

(with-test-prefix/c&e "array->list"
  (pass-if-equal "uniform vector" '(1 2 3) (array->list #s16(1 2 3)))
  (pass-if-equal "vector" '(1 2 3) (array->list #(1 2 3)))
  (pass-if-equal "rank 2 array" '((1 2) (3 4) (5 6)) (array->list #2((1 2) (3 4) (5 6))))
  (pass-if-equal "empty vector" '()  (array->list #()))

  (pass-if-equal "http://bugs.gnu.org/12465 - ok"
      '(3 4)
    (let* ((a #2((1 2) (3 4)))
           (b (make-shared-array a (lambda (j) (list 1 j)) 2)))
      (array->list b)))
  (pass-if-equal "http://bugs.gnu.org/12465 - bad"
      '(2 4)
    (let* ((a #2((1 2) (3 4)))
           (b (make-shared-array a (lambda (i) (list i 1)) 2)))
      (array->list b))))

;;;
;;; array-fill!
;;;

(with-test-prefix "array-fill!"

  (with-test-prefix "bool"
    (let ((a (make-bitvector 1 #t)))
      (pass-if "#f" (array-fill! a #f) #t)
      (pass-if "#t" (array-fill! a #t) #t)))

  (with-test-prefix "char"
    (let ((a (make-string 1 #\a)))
      (pass-if "x" (array-fill! a #\x) #t)))

  (with-test-prefix "byte"
    (let ((a (make-s8vector 1 0)))
      (pass-if "0"    (array-fill! a 0)    #t)
      (pass-if "127" (array-fill! a 127)   #t)
      (pass-if "-128" (array-fill! a -128) #t)
      (pass-if-exception "128" exception:out-of-range
	(array-fill! a 128))
      (pass-if-exception "-129" exception:out-of-range
	(array-fill! a -129))
      (pass-if-exception "symbol" exception:wrong-type-arg
	(array-fill! a 'symbol))))

  (with-test-prefix "short"
    (let ((a (make-s16vector 1 0)))
      (pass-if "0"    (array-fill! a 0)    #t)
      (pass-if "123"  (array-fill! a 123)  #t)
      (pass-if "-123" (array-fill! a -123) #t)))

  (with-test-prefix "ulong"
    (let ((a (make-u32vector 1 1)))
      (pass-if "0"    (array-fill! a 0)   #t)
      (pass-if "123"  (array-fill! a 123) #t)
      (pass-if-exception "-123" exception:out-of-range
	(array-fill! a -123) #t)))

  (with-test-prefix "long"
    (let ((a (make-s32vector 1 -1)))
      (pass-if "0"    (array-fill! a 0)    #t)
      (pass-if "123"  (array-fill! a 123)  #t)
      (pass-if "-123" (array-fill! a -123) #t)))

  (with-test-prefix "float"
    (let ((a (make-f32vector 1 1.0)))
      (pass-if "0.0"    (array-fill! a 0)      #t)
      (pass-if "123.0"  (array-fill! a 123.0)  #t)
      (pass-if "-123.0" (array-fill! a -123.0) #t)
      (pass-if "0"      (array-fill! a 0)      #t)
      (pass-if "123"    (array-fill! a 123)    #t)
      (pass-if "-123"   (array-fill! a -123)   #t)
      (pass-if "5/8"    (array-fill! a 5/8)    #t)))

  (with-test-prefix "double"
    (let ((a (make-f64vector 1 1/3)))
      (pass-if "0.0"    (array-fill! a 0)      #t)
      (pass-if "123.0"  (array-fill! a 123.0)  #t)
      (pass-if "-123.0" (array-fill! a -123.0) #t)
      (pass-if "0"      (array-fill! a 0)      #t)
      (pass-if "123"    (array-fill! a 123)    #t)
      (pass-if "-123"   (array-fill! a -123)   #t)
      (pass-if "5/8"    (array-fill! a 5/8)    #t)))

  (with-test-prefix "noncompact"
    (let* ((a (make-array 0 3 3))
           (b (make-shared-array a (lambda (i) (list i i)) 3)))
      (array-fill! b 9)
      (pass-if
        (and (equal? b #(9 9 9))
             (equal? a #2((9 0 0) (0 9 0) (0 0 9))))))))

;;;
;;; array-in-bounds?
;;;

(with-test-prefix "array-in-bounds?"

  (pass-if (let ((a (make-array #f '(425 425))))
	     (eq? #f (array-in-bounds? a 0)))))

;;;
;;; array-prototype
;;;

(with-test-prefix "array-type"

  (with-test-prefix "on make-foo-vector"

    (pass-if "bool"
      (eq? 'b (array-type (make-bitvector 1))))

    (pass-if "char"
      (eq? 'a (array-type (make-string 1))))

    (pass-if "byte"
      (eq? 'u8 (array-type (make-u8vector 1))))

    (pass-if "short"
      (eq? 's16 (array-type (make-s16vector 1))))

    (pass-if "ulong"
      (eq? 'u32 (array-type (make-u32vector 1))))

    (pass-if "long"
      (eq? 's32 (array-type (make-s32vector 1))))

    (pass-if "long long"
      (eq? 's64 (array-type (make-s64vector 1))))

    (pass-if "float"
      (eq? 'f32 (array-type (make-f32vector 1))))

    (pass-if "double"
      (eq? 'f64 (array-type (make-f64vector 1))))

    (pass-if "complex"
      (eq? 'c64 (array-type (make-c64vector 1))))

    (pass-if "scm"
      (eq? #t (array-type (make-vector 1)))))

  (with-test-prefix "on make-typed-array"

    (let ((types '(b a u8 s8 u16 s16 u32 s32 u64 u64 f32 f64 c32 c64)))
      (for-each (lambda (type)
		  (pass-if (symbol->string type)
		     (eq? type
			  (array-type (make-typed-array type
							*unspecified*
							'(5 6))))))
		types))))

;;;
;;; array-set!
;;;

(with-test-prefix "array-set!"

  (with-test-prefix "bitvector"

    ;; in Guile 1.8.0 a bug in bitvector_set() caused a segv in array-set!
    ;; on a bitvector like the following
    (let ((a (make-bitvector 1)))
      (pass-if "one elem set #t"
	(begin
	  (array-set! a #t 0)
	  (eq? #t (array-ref a 0))))
      (pass-if "one elem set #f"
	(begin
	  (array-set! a #f 0)
	  (eq? #f (array-ref a 0))))))

  (with-test-prefix "byte"

    (let ((a (make-s8vector 1)))

      (pass-if "-128"
	(begin (array-set! a -128 0) #t))
      (pass-if "0"
	(begin (array-set! a 0 0) #t))
      (pass-if "127"
	(begin (array-set! a 127 0) #t))
      (pass-if-exception "-129" exception:out-of-range
	(begin (array-set! a -129 0) #t))
      (pass-if-exception "128" exception:out-of-range
	(begin (array-set! a 128 0) #t))))

  (with-test-prefix "short"

    (let ((a (make-s16vector 1)))
      ;; true if n can be array-set! into a
      (define (fits? n)
	(false-if-exception (begin (array-set! a n 0) #t)))

      (with-test-prefix "store/fetch"
	;; Check array-ref gives back what was put with array-set!.
	;; In Guile 1.6.4 and earlier, array-set! only demanded an inum and
	;; would silently truncate to a short.

	(do ((n 1 (1+ (* 2 n))))  ;; n=2^k-1
	    ((not (fits? n)))
	  (array-set! a n 0)
	  (pass-if n
	    (= n (array-ref a 0))))

	(do ((n -1 (* 2 n)))      ;; -n=2^k
	    ((not (fits? n)))
	  (array-set! a n 0)
	  (pass-if n
	    (= n (array-ref a 0))))))))

;;;
;;; array-set!
;;;

(with-test-prefix "array-set!"

  (with-test-prefix "one dim"
    (let ((a (make-array #f '(3 5))))
      (pass-if "start"
	(array-set! a 'y 3)
	#t)
      (pass-if "end"
	(array-set! a 'y 5)
	#t)
      (pass-if-exception "start-1" exception:out-of-range
	(array-set! a 'y 2))
      (pass-if-exception "end+1" exception:out-of-range
	(array-set! a 'y 6))
      (pass-if-exception "two indexes" exception:wrong-num-indices
	(array-set! a 'y 6 7))))

  (with-test-prefix "two dim"
    (let ((a (make-array #f '(3 5) '(7 9))))
      (pass-if "start"
	(array-set! a 'y 3 7)
	#t)
      (pass-if "end"
	(array-set! a 'y 5 9)
	#t)
      (pass-if-exception "start i-1" exception:out-of-range
	(array-set! a 'y 2 7))
      (pass-if-exception "end i+1" exception:out-of-range
	(array-set! a 'y 6 9))
      (pass-if-exception "one index" exception:wrong-num-indices
	(array-set! a 'y 4))
      (pass-if-exception "three indexes" exception:wrong-num-indices
	(array-set! a 'y 4 8 0)))))

;;;
;;; uniform-vector
;;;

(with-test-prefix "typed arrays"

  (with-test-prefix "array-ref byte"

    (let ((a (make-s8vector 1)))

      (pass-if "0"
	(begin
	  (array-set! a 0 0)
	  (= 0 (array-ref a 0))))
      (pass-if "127"
	(begin
	  (array-set! a 127 0)
	  (= 127 (array-ref a 0))))
      (pass-if "-128"
	(begin
	  (array-set! a -128 0)
	  (= -128 (array-ref a 0))))))

  (with-test-prefix "shared with rank 1 equality"

    (let ((a #f64(1 2 3 4)))

      (pass-if "change offset"
        (let ((b (make-shared-array a (lambda (i) (list (+ i 1))) 3)))
          (and (eq? (array-type b) (array-type a))
               (= 3 (array-length b))
               (array-equal? b #f64(2 3 4)))))

      (pass-if "change stride"
        (let ((c (make-shared-array a (lambda (i) (list (* i 2))) 2)))
          (and (eq? (array-type c) (array-type a))
               (= 2 (array-length c))
               (array-equal? c #f64(1 3))))))))

;;;
;;; syntax
;;;

(with-test-prefix/c&e "syntax"

  (pass-if "rank and lower bounds"
    ;; uniform u32 array of rank 2 with index ranges 2..3 and 7..8.
    (let ((a '#2u32@2@7((1 2) (3 4))))
      (and (array? a)
           (typed-array? a 'u32)
           (= (array-rank a) 2)
           (let loop ((bounds '((2 7) (2 8) (3 7) (3 8)))
                      (result #t))
             (if (null? bounds)
                 result
                 (and result
                      (loop (cdr bounds)
                            (apply array-in-bounds? a (car bounds)))))))))

  (pass-if "negative lower bound"
     (let ((a '#1@-3(a b)))
       (and (array? a)
            (= (array-rank a) 1)
            (array-in-bounds? a -3) (array-in-bounds? a -2)
            (eq? 'a (array-ref a -3))
            (eq? 'b (array-ref a -2)))))

  (pass-if-exception "negative length" exception:length-non-negative
     (with-input-from-string "'#1:-3(#t #t)" read))

  (pass-if "bitvector is self-evaluating"
     (equal? (compile (bitvector)) (bitvector)))

  ; this failed in 2.0.9.
  (pass-if "typed arrays that are not uniform arrays"
    (let ((a #2b((#t #f) (#f #t)))
          (b (make-typed-array 'b #f 2 2)))
      (array-set! b #t 0 0)
      (array-set! b #t 1 1)
      (array-equal? a b))))

;;;
;;; equal? with vector and one-dimensional array
;;;

(with-test-prefix/c&e "equal?"
  (pass-if "array and non-array"
    (not (equal? #2f64((0 1) (2 3)) 100)))

  (pass-if "empty vectors of different types"
    (not (equal? #s32() #f64())))

  (pass-if "empty arrays of different types"
    (not (equal? #2s32() #2f64())))

  (pass-if "empty arrays of the same type"
    (equal? #s32() #s32()))

  (pass-if "identical uniform vectors of the same type"
    (equal? #s32(1) #s32(1)))

  (pass-if "nonidentical uniform vectors of the same type"
    (not (equal? #s32(1) #s32(-1))))

  (pass-if "identical uniform vectors of different types"
    (not (equal? #s32(1) #s64(1))))

  (pass-if "nonidentical uniform vectors of different types"
    (not (equal? #s32(1) #s64(-1))))

  (pass-if "vector and one-dimensional array"
    (equal? (make-shared-array #2((a b c) (d e f) (g h i))
                               (lambda (i) (list i i))
                               '(0 2))
            #(a e i))))

;;;
;;; slices as generalized vectors
;;;

(with-test-prefix/c&e "generalized vector slices"
  (pass-if (equal? (array-row #2u32((0 1) (2 3)) 1)
                   #u32(2 3)))
  (pass-if (equal? (array-ref (array-row #2u32((0 1) (2 3)) 1) 0)
                   2)))

;;;
;;; printing arrays
;;;

(with-test-prefix/c&e "printing arrays"
  (pass-if-equal "writing 1D arrays that aren't vectors"
    "#1(b c)"
    (format #f "~a" (make-shared-array #(a b c)
                                       (lambda (i) (list (+ i 1)))
                                       2)))
  
  (pass-if-equal "0-array"
      "#0(9)"
      (format #f "~a" (make-array 9)))
  
  (pass-if-equal "2-array"
      "#2f64((0.0 1.0) (2.0 3.0))"
      (format #f "~a" #2f64((0 1) (2 3))))
  
  (pass-if-equal "empty 3-array"
      "#3()"
      (format #f "~a" (make-array 1 0 0 0)))
  
  (pass-if-equal "empty 3-array with last nonempty dim."
      "#3:0:0:1()"
      (format #f "~a" (make-array 1 0 0 1)))

  (pass-if-equal "empty typed 3-array with last nonempty dim."
      "#3f64:0:0:1()"
      (format #f "~a" (make-typed-array 'f64 1 0 0 1)))
  
  (pass-if-equal "empty 3-array with middle nonempty dim."
      "#3:0:1:0()"
      (format #f "~a" (make-array 1 0 1 0)))
  
  (pass-if-equal "empty 3-array with first nonempty dim."
      "#3(())"
      (format #f "~a" (make-array 1 1 0 0)))
  
  (pass-if-equal "3-array with non-zero lower bounds"
      "#3@1@0@1(((1 1 1) (1 1 1)) ((1 1 1) (1 1 1)))"
      (format #f "~a" (make-array 1 '(1 2) '(0 1) '(1 3))))
  
  (pass-if-equal "3-array with non-zero-lower bounds and last nonempty dim."
      "#3@0:0@0:0@1:3()"
      (format #f "~a" (make-array 1 0 0 '(1 3))))
  
  (pass-if-equal "3-array with non-zero-lower bounds and middle nonempty dim."
      "#3@0:0@1:3@0:0()"
      (format #f "~a" (make-array 1 0 '(1 3) 0)))
  
  (pass-if-equal "3-array with non-zero-lower bounds and first nonempty dim."
      "#3@1@0@0(() () ())"
      (format #f "~a" (make-array 1 '(1 3) 0 0)))
  
  (pass-if-equal "3-array with singleton dim case I"
      "#3@1@1@-1(((1 1 1)))"
      (format #f "~a" (make-array 1 '(1 1) '(1 1) '(-1 1))))
  
  (pass-if-equal "3-array with singleton dim case II"
      "#3@-1@1@1(((1) (1) (1)))"
      (format #f "~a" (make-array 1 '(-1 -1) '(1 3) '(1 1))))
  
  (pass-if-equal "3-array with singleton dim case III"
      "#3@1@-1@1(((1)) ((1)) ((1)))"
      (format #f "~a" (make-array 1 '(1 3) '(-1 -1) '(1 1)))))

;;;
;;; reading arrays
;;;

(with-test-prefix/c&e "reading arrays"
  
  (pass-if "empty 3-array with first nonempty dim I"
    (array-equal? (make-array 1 1 0 0)
                  (call-with-input-string "#3(())" read)))
  (pass-if "empty 3-array with first nonempty dim II"
    (array-equal? (make-array 1 1 0 0)
                  #3(())))
  
  (pass-if "empty 3-array with middle nonempty dim I"
    (array-equal? (make-array 1 0 1 0)
                  (call-with-input-string "#3:0:1:0()" read)))
  (pass-if "empty 3-array with middle nonempty dim II"
    (array-equal? (make-array 1 0 1 0)
                  #3:0:1:0()))

  (pass-if "empty typed 3-array with middle nonempty dim I"
    (array-equal? (make-typed-array 'f64 1 0 1 0)
                  (call-with-input-string "#3f64:0:1:0()" read)))
  (pass-if "empty typed 3-array with middle nonempty dim II"
    (array-equal? (make-typed-array 'f64 1 0 1 0)
                  #3f64:0:1:0()))

  (pass-if "array with specified size I"
    (array-equal? #f64(1 2 3)
                  (call-with-input-string "#f64:3(1 2 3)" read)))
  (pass-if "array with specified size II"
    (array-equal? #f64(1 2 3)
                  #f64:3(1 2 3))))