ikarus/scheme/tests/string-to-number.ss

;;; assume reader which loads this file can only read signed integers.

(library (tests string-to-number)
  (export run-tests)
  (import (ikarus) (tests framework))

  (define (run-tests)
    (test-string-to-number)
    (generated-tests))

  (define (test string expected)
    (define (equal-results? x y)
      (define (== x y)
        (cond
          [(nan? x) (nan? y)]
          [(zero? x) (and (= x y) (= (atan 0.0 x) (atan 0.0 y)))]
          [else 
            (and (or (and (exact? x) (exact? y))
                     (and (inexact? x) (inexact? y)))
                 (= x y))]))
      (cond
        [(and (number? x) (number? y))
         (and (== (real-part x) (real-part y))
              (== (imag-part x) (imag-part y)))]
        [else (equal? x y)]))
    (printf "testing ~a -> ~s\n" string expected)
    (let ([result (string->number string)])
      (if expected
          (unless (number? result)
            (error 'test "did not parse as number" string))
          (when result
            (error test "incorrectly parse as non-#f" string)))
      (unless (equal-results? result expected)
        (error 'test "failed/expected/got" string expected result))
      (when expected
        (let ([s1 (format "~s" result)])
          (unless (string=? s1 string)
            (test s1 expected))))))

  (define inf+ (fl/ (inexact 1) (inexact 0)))
  (define inf- (fl/ (inexact -1) (inexact 0)))


  (define (test-string-to-number)
    (test "10" 10)
    (test "1" 1)
    (test "-17" -17)
    (test "12" 12)
    (test "+12" +12)
    (test "-12" -12)
    (test "+13476238746782364786237846872346782364876238477" 13476238746782364786237846872346782364876238477)
    (test "+inf.0" inf+)
    (test "-inf.0" inf-)
    (test "+i" (make-rectangular 0 +1))
    (test "-i" (make-rectangular 0 -1))
    (test "+15i" (make-rectangular 0 +15))
    (test "-15i" (make-rectangular 0 -15))
    (test "12/7" (/ 12 7))
    (test "-12/7" (/ -12 7))
    (test "+12/7" (/ 12 7))
    (test "12/7i" (make-rectangular 0 (/ 12 7)))
    (test "-12/7i" (make-rectangular 0 (/ -12 7)))
    (test "+12/7i" (make-rectangular 0 (/ 12 7)))
    (test "12/7+7i" (make-rectangular (/ 12 7) (/ 7 1)))
    (test "12/7+7/5i" (make-rectangular (/ 12 7) (/ 7 5)))
    (test "12/7-7/5i" (make-rectangular (/ 12 7) (/ -7 5)))
    (test "12." (inexact 12))
    (test "#e12." 12)
    (test "12.5" (inexact (/ 125 10)))
    (test "#e12.5123" (/ 125123 10000))
    (test "#i125123/10000" (inexact (/ 125123 10000)))
    (test "+inf.0i" (make-rectangular 0 inf+))
    (test "-inf.0i" (make-rectangular 0 inf-))
    
    (test "1/2" (/ 1 2))
    (test "-1/2" (/ 1 -2))
    (test "#x24" 36)
    (test "#x-24" -36)
    (test "#b+00000110110" 54)
    (test "#b-00000110110/10" -27)
    (test "#e10" 10)
    (test "#e1" 1)
    (test "#e-17" -17)
    (test "#e#x24" 36)
    (test "#e#x-24" -36)
    (test "#e#b+00000110110" 54)
    (test "#e#b-00000110110/10" -27)
    (test "#x#e24" 36)
    (test "#x#e-24" -36)
    (test "#b#e+00000110110" 54)
    (test "#b#e-00000110110/10" -27)
    (test "#e1e1000" (expt 10 1000))
    (test "#e-1e1000" (- (expt 10 1000)))
    (test "#e1e-1000" (expt 10 -1000))
    (test "#e-1e-1000" (- (expt 10 -1000)))
    (test "#i1e100" (exact->inexact (expt 10 100)))
    (test "#i1e1000" (exact->inexact (expt 10 1000)))
    (test "#i-1e1000" (exact->inexact (- (expt 10 1000))))
    (test "1e100" (exact->inexact (expt 10 100)))
    (test "1.0e100" (exact->inexact (expt 10 100)))
    (test "1.e100" (exact->inexact (expt 10 100)))
    (test "0.1e100" (exact->inexact (expt 10 99)))
    (test ".1e100" (exact->inexact (expt 10 99)))
    (test "+1e100" (exact->inexact (expt 10 100)))
    (test "+1.0e100" (exact->inexact (expt 10 100)))
    (test "+1.e100" (exact->inexact (expt 10 100)))
    (test "+0.1e100" (exact->inexact (expt 10 99)))
    (test "+.1e100" (exact->inexact (expt 10 99)))
    (test "-1e100" (exact->inexact   (- (expt 10 100))))
    (test "-1.0e100" (exact->inexact (- (expt 10 100))))
    (test "-1.e100" (exact->inexact  (- (expt 10 100))))
    (test "-0.1e100" (exact->inexact (- (expt 10 99))))
    (test "-.1e100" (exact->inexact  (- (expt 10 99))))
 
    (test "i" #f)
    (test "/" #f)
    (test "12/0" #f)
    (test "+12/0" #f)
    (test "-12/0" #f)
    (test "12/0000" #f)
    (test "+12/0000" #f)
    (test "-12/0000" #f)
    (test "12+" #f)
    (test "+12+" #f)
    (test "-12+" #f)
    (test "12+" #f)
    (test "+12+" #f)
    (test "-12+" #f)
    
    (test "8+6.0i" (make-rectangular 8 6.0))
    (test "8.0+6i" (make-rectangular 8.0 6))
    (test "+8+6.0i" (make-rectangular 8 6.0))
    (test "+8.0+6i" (make-rectangular 8.0 6))
    (test "-8+6.0i" (make-rectangular -8 6.0))
    (test "-8.0+6i" (make-rectangular -8.0 6))

    (test "8-6.0i" (make-rectangular 8 -6.0))
    (test "8.0-6i" (make-rectangular 8.0 -6))
    (test "+8-6.0i" (make-rectangular 8 -6.0))
    (test "+8.0-6i" (make-rectangular 8.0 -6))
    (test "-8-6.0i" (make-rectangular -8 -6.0))
    (test "-8.0-6i" (make-rectangular -8.0 -6))
    
    (test "0i" 0)
    (test "+0i" 0)
    (test "-0i" 0)

    (test "1i" (make-rectangular 0 1))
    (test "+1i" (make-rectangular 0 1))
    (test "-1i" (make-rectangular 0 -1))

    (test "8+nan.0i" (make-rectangular 8 +nan.0))
    (test "8.0+nan.0i" (make-rectangular 8.0 +nan.0))
    (test "+8+nan.0i" (make-rectangular 8 +nan.0))
    (test "+8.0+nan.0i" (make-rectangular 8.0 +nan.0))
    (test "-8+nan.0i" (make-rectangular -8 +nan.0))
    (test "-8.0+nan.0i" (make-rectangular -8.0 +nan.0))
    (test "8-nan.0i" (make-rectangular 8 -nan.0))
    (test "8.0-nan.0i" (make-rectangular 8.0 -nan.0))
    (test "+8-nan.0i" (make-rectangular 8 -nan.0))
    (test "+8.0-nan.0i" (make-rectangular 8.0 -nan.0))
    (test "-8-nan.0i" (make-rectangular -8 -nan.0))
    (test "-8.0-nan.0i" (make-rectangular -8.0 -nan.0))
    (test "+nan.0+6.0i" (make-rectangular +nan.0 6.0))
    (test "+nan.0+6i" (make-rectangular +nan.0 6))
    (test "+nan.0+6.0i" (make-rectangular +nan.0 6.0))
    (test "+nan.0+6i" (make-rectangular +nan.0 6))
    (test "-nan.0+6.0i" (make-rectangular -nan.0 6.0))
    (test "-nan.0+6i" (make-rectangular -nan.0 6))
    (test "+nan.0-6.0i" (make-rectangular +nan.0 -6.0))
    (test "+nan.0-6i" (make-rectangular +nan.0 -6))
    (test "+nan.0-6.0i" (make-rectangular +nan.0 -6.0))
    (test "+nan.0-6i" (make-rectangular +nan.0 -6))
    (test "-nan.0-6.0i" (make-rectangular -nan.0 -6.0))
    (test "-nan.0-6i" (make-rectangular -nan.0 -6))
    (test "+nan.0+nan.0i" (make-rectangular +nan.0 +nan.0))
    (test "+nan.0-nan.0i" (make-rectangular +nan.0 -nan.0))
    (test "-nan.0+nan.0i" (make-rectangular -nan.0 +nan.0))
    (test "-nan.0-nan.0i" (make-rectangular -nan.0 -nan.0))
 
    (test "+nan.0+i" (make-rectangular +nan.0 +1))
    (test "+nan.0-i" (make-rectangular +nan.0 -1))
    (test "-nan.0+i" (make-rectangular -nan.0 +1))
    (test "-nan.0-i" (make-rectangular -nan.0 -1))

    (test "8+inf.0i" (make-rectangular 8 +inf.0))
    (test "8.0+inf.0i" (make-rectangular 8.0 +inf.0))
    (test "+8+inf.0i" (make-rectangular 8 +inf.0))
    (test "+8.0+inf.0i" (make-rectangular 8.0 +inf.0))
    (test "-8+inf.0i" (make-rectangular -8 +inf.0))
    (test "-8.0+inf.0i" (make-rectangular -8.0 +inf.0))
    (test "8-inf.0i" (make-rectangular 8 -inf.0))
    (test "8.0-inf.0i" (make-rectangular 8.0 -inf.0))
    (test "+8-inf.0i" (make-rectangular 8 -inf.0))
    (test "+8.0-inf.0i" (make-rectangular 8.0 -inf.0))
    (test "-8-inf.0i" (make-rectangular -8 -inf.0))
    (test "-8.0-inf.0i" (make-rectangular -8.0 -inf.0))
    (test "+inf.0+6.0i" (make-rectangular +inf.0 6.0))
    (test "+inf.0+6i" (make-rectangular +inf.0 6))
    (test "+inf.0+6.0i" (make-rectangular +inf.0 6.0))
    (test "+inf.0+6i" (make-rectangular +inf.0 6))
    (test "-inf.0+6.0i" (make-rectangular -inf.0 6.0))
    (test "-inf.0+6i" (make-rectangular -inf.0 6))
    (test "+inf.0-6.0i" (make-rectangular +inf.0 -6.0))
    (test "+inf.0-6i" (make-rectangular +inf.0 -6))
    (test "+inf.0-6.0i" (make-rectangular +inf.0 -6.0))
    (test "+inf.0-6i" (make-rectangular +inf.0 -6))
    (test "-inf.0-6.0i" (make-rectangular -inf.0 -6.0))
    (test "-inf.0-6i" (make-rectangular -inf.0 -6))
    (test "+inf.0+inf.0i" (make-rectangular +inf.0 +inf.0))
    (test "+inf.0-inf.0i" (make-rectangular +inf.0 -inf.0))
    (test "-inf.0+inf.0i" (make-rectangular -inf.0 +inf.0))
    (test "-inf.0-inf.0i" (make-rectangular -inf.0 -inf.0))
 
    (test "+inf.0+i" (make-rectangular +inf.0 +1))
    (test "+inf.0-i" (make-rectangular +inf.0 -1))
    (test "-inf.0+i" (make-rectangular -inf.0 +1))
    (test "-inf.0-i" (make-rectangular -inf.0 -1))

    (test "8+6e20i" (make-rectangular +8 +6e20))
    (test "8-6e20i" (make-rectangular +8 -6e20))
    (test "8e20+6i" (make-rectangular +8e20 +6))
    (test "8e20-6i" (make-rectangular +8e20 -6))
    (test "+8+6e20i" (make-rectangular +8 +6e20))
    (test "+8-6e20i" (make-rectangular +8 -6e20))
    (test "+8e20+6i" (make-rectangular +8e20 +6))
    (test "+8e20-6i" (make-rectangular +8e20 -6))
    (test "-8+6e20i" (make-rectangular -8 +6e20))
    (test "-8-6e20i" (make-rectangular -8 -6e20))
    (test "-8e20+6i" (make-rectangular -8e20 +6))
    (test "-8e20-6i" (make-rectangular -8e20 -6))

    (test "8e10+6e20i" (make-rectangular +8e10 +6e20))
    (test "8e10-6e20i" (make-rectangular +8e10 -6e20))
    (test "+8e10+6e20i" (make-rectangular +8e10 +6e20))
    (test "+8e10-6e20i" (make-rectangular +8e10 -6e20))
    (test "-8e10+6e20i" (make-rectangular -8e10 +6e20))
    (test "-8e10-6e20i" (make-rectangular -8e10 -6e20))

    (test "-0e-10" -0.0)
    (test "-0e-0" -0.0)
    (test "#d-0e-10-0e-0i" (make-rectangular -0.0 -0.0))
    (test "-0.i" (make-rectangular 0.0 -0.0))
    (test "#d#e-0.0f-0-.0s-0i" 0)

    (test "+.234e4i" (make-rectangular 0 0.234e4))
    (test "+.234e-5i" (make-rectangular 0 0.234e-5))
    (test "+.234i" (make-rectangular 0 0.234))
    )

  (define (generated-tests)
    
    (define (gen ls1 ls2 comp1 comp2)
      (apply append
        (map (lambda (x1)
               (map (lambda (x2)
                      (cons (comp1 (car x1) (car x2))
                            (comp2 (cdr x1) (cdr x2))))
                    ls2))
             ls1)))

    (define (gensa ls1 ls2 comp)
      (gen ls1 ls2 string-append comp))

    (define ureal
      '(["0" . 0]
        ["1" . 1]
        ["1." . 1.0]
        ["1.0" . 1.0]
        [".5" . 0.5]
        ["0.5" . 0.5]
        ;["1e1" . 10.0]
        ["1e0" . 1.0]
        ;["1e+1" . 10.0]
        ["1e+0" . 1.0]
        ["1e-1" . 0.1]
        ;["1.e1" . 10.0]
        ["1.e0" . 1.0]
        ;["1.e+1" . 10.0]
        ["1.e+0" . 1.0]
        ["1.e-1" . 0.1]
        ;["1.0e1" . 10.0]
        ["1.0e0" . 1.0]
        ;["1.0e+1" . 10.0]
        ["1.0e+0" . 1.0]
        ["1.0e-1" . 0.1]
        ;[".5e1" . 5.0]
        [".5e0" . 0.5]
        ;[".5e+1" . 5.0]
        [".5e+0" . 0.5]
        [".5e-1" . 0.05]
        ))

    (define naninf
      '(["nan.0" . +nan.0]
        ["inf.0" . +inf.0]))

    (define sign
      '(["+" . +1]
        ["-" . -1]))

    ;;; <real> = <sign> <ureal>
    ;;;        | + <naninf>
    ;;;        | - <naninf>

    (define sreal
      (append 
        (gensa sign ureal *)
        (gensa sign naninf *)))
    (define real
      (append ureal sreal))

    ;;;<complex> = <real>
    ;;;          | <real> @ <real>
    ;;;          | <real> <creal>
    ;;;          | <creal>
    ;;; <creal> = <seal> i
    ;;;         | +i
    ;;;         | -i

    (define creal
      (append
        (gensa sreal '(["i" . #f]) (lambda (x f) (make-rectangular 0 x)))
        `(["+i" . ,(make-rectangular 0 1)]
          ["-i" . ,(make-rectangular 0 -1)])))

    (define complex
      (append
        real creal
        (gensa real creal +)
        (gen real real (lambda (x y) (string-append x "@" y)) make-polar)
        ))

    (printf "TESTING ~s tests\n" (length complex))
    (for-each
      (lambda (x)
        (test (car x) (cdr x)))
      complex)

    )


  )