[Axiom-developer] regression testing

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[Axiom-developer] regression testing

From:	daly
Subject:	[Axiom-developer] regression testing
Date:	Sun, 1 Apr 2007 19:34:57 -0500
I'm working my way back from the latest version thru the various
versions in arch. I've come across a difference that can't be
explained by any change I've made. Can someone please test this
on their platform and send me the results?

Attached is a portion of the regression test file. It consists of
tests delimited by --S (start) and --E (end)... The --R lines show the
"expected" results, that is, the results in silver. The --G result
show what comes from gold. The embedded lines are the computed
lines. They should be identical and clearly they are not. Please let
me know what your results are so I can guess where this bug might be.

You should just be able to clip the rest of this file into an input
file, say foo.input and the start axiom and do 
 )spool result
 )read foo
 )spool 

and send me the resulting file along with some idea of what
source tree you used to build it.


Thanks
Tim


cut here
=======================================================================



)version

---------------------------------------------------------------------
--This is test 15. It sets x for test 18.
---------------------------------------------------------------------
--S 15 of 50
x := 0.7::DoubleFloat
--G 
--G
--G   (15)  0.69999999999999996
--G                                                            Type: DoubleFloat
--R 
--R
--R   (15)  0.69999999999999996
--R                                                            Type: DoubleFloat
--E 15


---------------------------------------------------------------------
-- This is test 18. Clearly cos(acos(x)) differs.
---------------------------------------------------------------------
--S 18 of 50
[sin asin x,  cos acos x,  tan atan x,  cot acot x]
--G 
--G
--G   (18)
--G   [0.69999999999999996, 0.69999999999999996, 0.69999999999999996,
--G    0.69999999999999996]
--G                                                       Type: List DoubleFloat
--R 
--R
--R   (18)
--R   [0.69999999999999996, 0.70000000000000007, 0.69999999999999996,
--R    0.69999999999999996]
--R                                                       Type: List DoubleFloat
--E 18

--MISMATCH
--expected:"   [0.69999999999999996, 0.70000000000000007, 0.69999999999999996,"
--     got:"   [0.69999999999999996, 0.69999999999999996, 0.69999999999999996,"
--FAILED elemnum  18 of 50














---------------------------------------------------------------------
This is test 22. It sets the value of variable x for later testing
---------------------------------------------------------------------

--S 22 of 50
x := 1.1::DoubleFloat
--G 
--G
--G   (22)  1.1000000000000001
--G                                                            Type: DoubleFloat
--R 
--R
--R   (22)  1.1000000000000001
--R                                                            Type: DoubleFloat
--E 22

---------------------------------------------------------------------
This is test 26. asin(sin(x)) is different.
---------------------------------------------------------------------
--S 26 of 50
[asin sin x,  acos cos x,  atan tan x,  acot cot x, acsc csc x,   asec sec x  ]
--G 
--G
--G   (26)
--G   [1.1000000000000001, 1.1000000000000001, 1.1000000000000001,
--G    1.1000000000000001, 1.0999999999999999, 1.1000000000000001]
--G                                                       Type: List DoubleFloat
--R 
--R
--R   (26)
--R   [1.1000000000000003, 1.1000000000000001, 1.1000000000000001,
--R    1.1000000000000001, 1.0999999999999999, 1.1000000000000001]
--R                                                       Type: List DoubleFloat
--E 26


--MISMATCH
--expected:"   [1.1000000000000003, 1.1000000000000001, 1.1000000000000001,"
--     got:"   [1.1000000000000001, 1.1000000000000001, 1.1000000000000001,"
--FAILED elemnum  26 of 50












---------------------------------------------------------------------
This is test 29. It constructs the function used in later tests.
---------------------------------------------------------------------

--S 29 of 50
qtest(a,b,n) ==
   m1 := if n = 1 or n = 4 then 0 else  1
   s1 := if n = 1 or n = 4 then 1 else -1
   s2 := if n = 1 or n = 2 then 1 else -1
   x := complex(s1*a, s2*b)
   [x- exp   log x, _
    x- sin   asin  x, x-    cos   acos  x, x- tan   atan  x , _
    x- csc   acsc  x, x-    sec   asec  x, x- cot   acot  x , _
    x- sinh  asinh x, x-    cosh  acosh x, x- tanh  atanh x , _
    x- csch  acsch x, x-    sech  asech x, x- coth  acoth x , _
    x- log   exp   x, _
    x- asin  sin   x, x- s1*acos  cos   x, x- atan  tan  x , _
    x- acsc  csc   x, x- s1*asec  sec   x, x- acot  cot  x + m1*%pi, _
    x- asinh sinh  x, x- s1*acosh cosh  x, x- atanh tanh x , _
    x- acsch csch  x, x- s1*asech sech  x, x- acoth coth x ]
--G 
--G                                                                   Type: Void
--R 
--R                                                                   Type: Void
--E 29


---------------------------------------------------------------------
This is test 31 that sets the variable sa used below.
---------------------------------------------------------------------

--S 31 of 50
sa := 0.7::DoubleFloat
--G 
--G
--G   (31)  0.69999999999999996
--G                                                            Type: DoubleFloat
--R 
--R
--R   (31)  0.69999999999999996
--R                                                            Type: DoubleFloat
--E 31

---------------------------------------------------------------------
This is test 32 that sets the variable sb used below.
---------------------------------------------------------------------
--S 32 of 50
sb := 1.1::DoubleFloat
--G 
--G
--G   (32)  1.1000000000000001
--G                                                            Type: DoubleFloat
--R 
--R
--R   (32)  1.1000000000000001
--R                                                            Type: DoubleFloat
--E 32



---------------------------------------------------------------------
This is test 35. There are various mismatches that follow.
---------------------------------------------------------------------

--S 35 of 50
qtest(sa, sb, 1)
--G 
--G   Compiling function qtest with type (DoubleFloat,DoubleFloat,
--G      PositiveInteger) -> List Complex DoubleFloat 
--G
--G   (35)
--G   [1.1102230246251565E-16,
--G    2.2204460492503131E-16 + -4.4408920985006262E-16 %i,
--G    1.1102230246251565E-16,
--G    -4.4408920985006262E-16 + -2.2204460492503131E-16 %i,
--G    4.4408920985006262E-16 + 2.2204460492503131E-16 %i,
--G    -1.1102230246251565E-16,
--G    -2.2204460492503131E-16 + -2.2204460492503131E-16 %i,
--G    1.1102230246251565E-16,
--G    -2.2204460492503131E-16 + -2.2204460492503131E-16 %i,
--G    2.2204460492503131E-16 + 2.2204460492503131E-16 %i,
--G    3.3306690738754696E-16 + -2.2204460492503131E-16 %i, 0.,
--G    -6.6613381477509392E-16 %i, -1.1102230246251565E-16,
--G    -3.3306690738754696E-16 + -4.4408920985006262E-16 %i,
--G    3.3306690738754696E-16 + -2.2204460492503131E-16 %i,
--G    -2.2204460492503131E-16,
--G    -3.3306690738754696E-16 + -4.4408920985006262E-16 %i,
--G    3.3306690738754696E-16 + -2.2204460492503131E-16 %i,
--G    -5.5511151231257827E-16, -2.2204460492503131E-16, 
-1.1102230246251565E-16,
--G    1.1102230246251565E-16, 0., -1.1102230246251565E-16,
--G    -1.1102230246251565E-16]
--G                                               Type: List Complex DoubleFloat
--R 
--R   Compiling function qtest with type (DoubleFloat,DoubleFloat,
--R      PositiveInteger) -> List Complex DoubleFloat 
--R
--R   (35)
--R   [1.1102230246251565E-16,
--R    2.2204460492503131E-16 + -4.4408920985006262E-16 %i,
--R    -2.2204460492503131E-16,
--R    -4.4408920985006262E-16 + -2.2204460492503131E-16 %i,
--R    4.4408920985006262E-16, -1.1102230246251565E-16,
--R    -2.2204460492503131E-16 + -2.2204460492503131E-16 %i,
--R    1.1102230246251565E-16,
--R    -2.2204460492503131E-16 + -2.2204460492503131E-16 %i,
--R    2.2204460492503131E-16 + 2.2204460492503131E-16 %i,
--R    1.1102230246251565E-16 + -2.2204460492503131E-16 %i, 0.,
--R    -6.6613381477509392E-16 %i, -1.1102230246251565E-16,
--R    -4.4408920985006262E-16 + -4.4408920985006262E-16 %i,
--R    3.3306690738754696E-16 + -2.2204460492503131E-16 %i,
--R    -3.3306690738754696E-16,
--R    -4.4408920985006262E-16 + -4.4408920985006262E-16 %i,
--R    3.3306690738754696E-16 + -2.2204460492503131E-16 %i,
--R    -5.5511151231257827E-16, -2.2204460492503131E-16, 
-1.1102230246251565E-16,
--R    1.1102230246251565E-16, 0., -1.1102230246251565E-16,
--R    -1.1102230246251565E-16]
--R                                               Type: List Complex DoubleFloat
--E 35

--MISMATCH
--expected:"    -4.4408920985006262E-16 + -4.4408920985006262E-16 %i,"
--     got:"    -3.3306690738754696E-16 + -4.4408920985006262E-16 %i,"
--MISMATCH
--expected:"    -3.3306690738754696E-16,"
--     got:"    -2.2204460492503131E-16,"
--MISMATCH
--expected:"    -4.4408920985006262E-16 + -4.4408920985006262E-16 %i,"
--     got:"    -3.3306690738754696E-16 + -4.4408920985006262E-16 %i,"
--MISMATCH
--expected:"    1.1102230246251565E-16 + -2.2204460492503131E-16 %i, 0.,"
--     got:"    3.3306690738754696E-16 + -2.2204460492503131E-16 %i, 0.,"
--MISMATCH
--expected:"    4.4408920985006262E-16, -1.1102230246251565E-16,"
--     got:"    -1.1102230246251565E-16,"
--MISMATCH
--expected:"    -4.4408920985006262E-16 + -2.2204460492503131E-16 %i,"
--     got:"    4.4408920985006262E-16 + 2.2204460492503131E-16 %i,"
--MISMATCH
--expected:"    -2.2204460492503131E-16,"
--     got:"    -4.4408920985006262E-16 + -2.2204460492503131E-16 %i,"
--MISMATCH
--expected:"    2.2204460492503131E-16 + -4.4408920985006262E-16 %i,"
--     got:"    1.1102230246251565E-16,"
--MISMATCH
--expected:"   [1.1102230246251565E-16,"
--     got:"    2.2204460492503131E-16 + -4.4408920985006262E-16 %i,"
--MISMATCH
--expected:"   (35)"
--     got:"   [1.1102230246251565E-16,"
--MISMATCH
--expected:""
--     got:"   (35)"
--MISMATCH
--expected:"      PositiveInteger) -> List Complex DoubleFloat "
--     got:""
--MISMATCH
--expected:"   Compiling function qtest with type (DoubleFloat,DoubleFloat,"
--     got:"      PositiveInteger) -> List Complex DoubleFloat "
--MISMATCH
--expected:" "
--     got:"   Compiling function qtest with type (DoubleFloat,DoubleFloat,"
--FAILED elemnum  35 of 50

















---------------------------------------------------------------------
This is test 39. It fails in various ways. Check the attached mismatches
---------------------------------------------------------------------

--S 39 of 50
qtest(sa, sb, 2)
--G 
--G
--G   (39)
--G   [-1.1102230246251565E-16,
--G    -2.2204460492503131E-16 + -4.4408920985006262E-16 %i,
--G    -3.3306690738754696E-16,
--G    4.4408920985006262E-16 + -2.2204460492503131E-16 %i,
--G    -4.4408920985006262E-16 + 2.2204460492503131E-16 %i,
--G    -1.1102230246251565E-16 + -2.2204460492503131E-16 %i,
--G    3.3306690738754696E-16 + -2.2204460492503131E-16 %i,
--G    -1.1102230246251565E-16,
--G    -2.2204460492503131E-16 + -4.4408920985006262E-16 %i,
--G    -2.2204460492503131E-16 + 2.2204460492503131E-16 %i,
--G    2.2204460492503131E-16 + -2.2204460492503131E-16 %i,
--G    -1.1102230246251565E-16 + -2.2204460492503131E-16 %i,
--G    2.2204460492503131E-16 + -2.2204460492503131E-16 %i, 0.,
--G    3.3306690738754696E-16 + -4.4408920985006262E-16 %i,
--G    -1.1102230246251565E-16, 2.2204460492503131E-16,
--G    3.3306690738754696E-16 + -4.4408920985006262E-16 %i,
--G    -1.1102230246251565E-16, 8.8817841970012523E-16, 2.2204460492503131E-16,
--G    1.1102230246251565E-16, 3.3306690738754696E-16,
--G    -1.1102230246251565E-16 + 2.2204460492503131E-16 %i,
--G    1.1102230246251565E-16,
--G    2.2204460492503131E-16 + -2.2204460492503131E-16 %i]
--G                                               Type: List Complex DoubleFloat
--R 
--R
--R   (39)
--R   [-1.1102230246251565E-16,
--R    -2.2204460492503131E-16 + -4.4408920985006262E-16 %i,
--R    -3.3306690738754696E-16,
--R    4.4408920985006262E-16 + -2.2204460492503131E-16 %i,
--R    -4.4408920985006262E-16,
--R    1.1102230246251565E-16 + -2.2204460492503131E-16 %i,
--R    3.3306690738754696E-16 + -2.2204460492503131E-16 %i,
--R    -1.1102230246251565E-16,
--R    4.4408920985006262E-16 + -2.2204460492503131E-16 %i,
--R    -2.2204460492503131E-16 + 2.2204460492503131E-16 %i,
--R    2.2204460492503131E-16 + -2.2204460492503131E-16 %i,
--R    -1.1102230246251565E-16 + -2.2204460492503131E-16 %i,
--R    2.2204460492503131E-16 + -2.2204460492503131E-16 %i, 0.,
--R    4.4408920985006262E-16 + -4.4408920985006262E-16 %i, 0.,
--R    3.3306690738754696E-16,
--R    4.4408920985006262E-16 + -4.4408920985006262E-16 %i, 0.,
--R    8.8817841970012523E-16, 2.2204460492503131E-16, 1.1102230246251565E-16,
--R    3.3306690738754696E-16, -1.1102230246251565E-16, 1.1102230246251565E-16,
--R    2.2204460492503131E-16 + -2.2204460492503131E-16 %i]
--R                                               Type: List Complex DoubleFloat
--E 39

--MISMATCH
--expected:"    3.3306690738754696E-16, -1.1102230246251565E-16, 
1.1102230246251565E-16,"
--     got:"    1.1102230246251565E-16,"
--MISMATCH
--expected:"    8.8817841970012523E-16, 2.2204460492503131E-16, 
1.1102230246251565E-16,"
--     got:"    -1.1102230246251565E-16 + 2.2204460492503131E-16 %i,"
--MISMATCH
--expected:"    4.4408920985006262E-16 + -4.4408920985006262E-16 %i, 0.,"
--     got:"    1.1102230246251565E-16, 3.3306690738754696E-16,"
--MISMATCH
--expected:"    3.3306690738754696E-16,"
--     got:"    -1.1102230246251565E-16, 8.8817841970012523E-16, 
2.2204460492503131E-16,"
--MISMATCH
--expected:"    4.4408920985006262E-16 + -4.4408920985006262E-16 %i, 0.,"
--     got:"    3.3306690738754696E-16 + -4.4408920985006262E-16 %i,"
--MISMATCH
--expected:"    2.2204460492503131E-16 + -2.2204460492503131E-16 %i, 0.,"
--     got:"    -1.1102230246251565E-16, 2.2204460492503131E-16,"
--MISMATCH
--expected:"    -1.1102230246251565E-16 + -2.2204460492503131E-16 %i,"
--     got:"    3.3306690738754696E-16 + -4.4408920985006262E-16 %i,"
--MISMATCH
--expected:"    2.2204460492503131E-16 + -2.2204460492503131E-16 %i,"
--     got:"    2.2204460492503131E-16 + -2.2204460492503131E-16 %i, 0.,"
--MISMATCH
--expected:"    -2.2204460492503131E-16 + 2.2204460492503131E-16 %i,"
--     got:"    -1.1102230246251565E-16 + -2.2204460492503131E-16 %i,"
--MISMATCH
--expected:"    4.4408920985006262E-16 + -2.2204460492503131E-16 %i,"
--     got:"    2.2204460492503131E-16 + -2.2204460492503131E-16 %i,"
--MISMATCH
--expected:"    -1.1102230246251565E-16,"
--     got:"    -2.2204460492503131E-16 + 2.2204460492503131E-16 %i,"
--MISMATCH
--expected:"    3.3306690738754696E-16 + -2.2204460492503131E-16 %i,"
--     got:"    -2.2204460492503131E-16 + -4.4408920985006262E-16 %i,"
--MISMATCH
--expected:"    1.1102230246251565E-16 + -2.2204460492503131E-16 %i,"
--     got:"    -1.1102230246251565E-16,"
--MISMATCH
--expected:"    -4.4408920985006262E-16,"
--     got:"    3.3306690738754696E-16 + -2.2204460492503131E-16 %i,"
--MISMATCH
--expected:"    4.4408920985006262E-16 + -2.2204460492503131E-16 %i,"
--     got:"    -1.1102230246251565E-16 + -2.2204460492503131E-16 %i,"
--MISMATCH
--expected:"    -3.3306690738754696E-16,"
--     got:"    -4.4408920985006262E-16 + 2.2204460492503131E-16 %i,"
--MISMATCH
--expected:"    -2.2204460492503131E-16 + -4.4408920985006262E-16 %i,"
--     got:"    4.4408920985006262E-16 + -2.2204460492503131E-16 %i,"
--MISMATCH
--expected:"   [-1.1102230246251565E-16,"
--     got:"    -3.3306690738754696E-16,"
--MISMATCH
--expected:"   (39)"
--     got:"    -2.2204460492503131E-16 + -4.4408920985006262E-16 %i,"
--MISMATCH
--expected:""
--     got:"   [-1.1102230246251565E-16,"
--MISMATCH
--expected:" "
--     got:"   (39)"
--FAILED elemnum  39 of 50
--





---------------------------------------------------------------------
This is test 43 which fails. See the mismatch report attached.
---------------------------------------------------------------------
--S 43 of 50
qtest(sa, sb, 3)
--G 
--G
--G   (43)
--G   [-1.1102230246251565E-16, 0.,
--G    -2.2204460492503131E-16 + 4.4408920985006262E-16 %i,
--G    -2.2204460492503131E-16, 0., -4.4408920985006262E-16,
--G    -1.1102230246251565E-16, -1.1102230246251565E-16,
--G    -2.2204460492503131E-16 + 4.4408920985006262E-16 %i,
--G    -2.2204460492503131E-16 + -2.2204460492503131E-16 %i,
--G    2.2204460492503131E-16 + 2.2204460492503131E-16 %i,
--G    -1.1102230246251565E-16 + 2.2204460492503131E-16 %i,
--G    2.2204460492503131E-16 + 2.2204460492503131E-16 %i, 0., 0.,
--G    -3.3306690738754696E-16 + 2.2204460492503131E-16 %i,
--G    -1.1102230246251565E-16, 0.,
--G    -3.3306690738754696E-16 + 2.2204460492503131E-16 %i,
--G    8.8817841970012523E-16, 2.2204460492503131E-16, 1.1102230246251565E-16,
--G    3.3306690738754696E-16,
--G    -1.1102230246251565E-16 + -2.2204460492503131E-16 %i,
--G    1.1102230246251565E-16, 2.2204460492503131E-16 + 2.2204460492503131E-16 
%i]
--G                                               Type: List Complex DoubleFloat
--R 
--R
--R   (43)
--R   [-1.1102230246251565E-16, 0.,
--R    -2.2204460492503131E-16 + 4.4408920985006262E-16 %i,
--R    -2.2204460492503131E-16, 1.1102230246251565E-16, -4.4408920985006262E-16,
--R    -1.1102230246251565E-16, -1.1102230246251565E-16,
--R    4.4408920985006262E-16 + 2.2204460492503131E-16 %i,
--R    -2.2204460492503131E-16 + -2.2204460492503131E-16 %i,
--R    2.2204460492503131E-16 + 2.2204460492503131E-16 %i,
--R    -1.1102230246251565E-16 + 2.2204460492503131E-16 %i,
--R    2.2204460492503131E-16 + 2.2204460492503131E-16 %i, 0., 0.,
--R    -3.3306690738754696E-16 + 2.2204460492503131E-16 %i,
--R    2.2204460492503131E-16 %i, 0.,
--R    -3.3306690738754696E-16 + 2.2204460492503131E-16 %i,
--R    8.8817841970012523E-16, 2.2204460492503131E-16, 1.1102230246251565E-16,
--R    3.3306690738754696E-16, -1.1102230246251565E-16, 1.1102230246251565E-16,
--R    2.2204460492503131E-16 + 2.2204460492503131E-16 %i]
--R                                               Type: List Complex DoubleFloat
--E 43

--MISMATCH
--expected:"    2.2204460492503131E-16 + 2.2204460492503131E-16 %i]"
--     got:"    1.1102230246251565E-16, 2.2204460492503131E-16 + 
2.2204460492503131E-16 %i]"
--MISMATCH
--expected:"    3.3306690738754696E-16, -1.1102230246251565E-16, 
1.1102230246251565E-16,"
--     got:"    -1.1102230246251565E-16 + -2.2204460492503131E-16 %i,"
--MISMATCH
--expected:"    8.8817841970012523E-16, 2.2204460492503131E-16, 
1.1102230246251565E-16,"
--     got:"    3.3306690738754696E-16,"
--MISMATCH
--expected:"    -3.3306690738754696E-16 + 2.2204460492503131E-16 %i,"
--     got:"    8.8817841970012523E-16, 2.2204460492503131E-16, 
1.1102230246251565E-16,"
--MISMATCH
--expected:"    2.2204460492503131E-16 %i, 0.,"
--     got:"    -3.3306690738754696E-16 + 2.2204460492503131E-16 %i,"
--MISMATCH
--expected:"    -3.3306690738754696E-16 + 2.2204460492503131E-16 %i,"
--     got:"    -1.1102230246251565E-16, 0.,"
--MISMATCH
--expected:"    2.2204460492503131E-16 + 2.2204460492503131E-16 %i, 0., 0.,"
--     got:"    -3.3306690738754696E-16 + 2.2204460492503131E-16 %i,"
--MISMATCH
--expected:"    -1.1102230246251565E-16 + 2.2204460492503131E-16 %i,"
--     got:"    2.2204460492503131E-16 + 2.2204460492503131E-16 %i, 0., 0.,"
--MISMATCH
--expected:"    2.2204460492503131E-16 + 2.2204460492503131E-16 %i,"
--     got:"    -1.1102230246251565E-16 + 2.2204460492503131E-16 %i,"
--MISMATCH
--expected:"    -2.2204460492503131E-16 + -2.2204460492503131E-16 %i,"
--     got:"    2.2204460492503131E-16 + 2.2204460492503131E-16 %i,"
--MISMATCH
--expected:"    4.4408920985006262E-16 + 2.2204460492503131E-16 %i,"
--     got:"    -2.2204460492503131E-16 + -2.2204460492503131E-16 %i,"
--MISMATCH
--expected:"    -1.1102230246251565E-16, -1.1102230246251565E-16,"
--     got:"    -2.2204460492503131E-16 + 4.4408920985006262E-16 %i,"
--MISMATCH
--expected:"    -2.2204460492503131E-16, 1.1102230246251565E-16, 
-4.4408920985006262E-16,"
--     got:"    -1.1102230246251565E-16, -1.1102230246251565E-16,"
--MISMATCH
--expected:"    -2.2204460492503131E-16 + 4.4408920985006262E-16 %i,"
--     got:"    -2.2204460492503131E-16, 0., -4.4408920985006262E-16,"
--MISMATCH
--expected:"   [-1.1102230246251565E-16, 0.,"
--     got:"    -2.2204460492503131E-16 + 4.4408920985006262E-16 %i,"
--MISMATCH
--expected:"   (43)"
--     got:"   [-1.1102230246251565E-16, 0.,"
--MISMATCH
--expected:""
--     got:"   (43)"
--MISMATCH
--expected:" "
--     got:""
--FAILED elemnum  43 of 50













---------------------------------------------------------------------
Test 31 sets the variable sa and it echos properly
---------------------------------------------------------------------
--S 31 of 50
sa := 0.7::DoubleFloat
--G 
--G
--G   (31)  0.69999999999999996
--G                                                            Type: DoubleFloat
--R 
--R
--R   (31)  0.69999999999999996
--R                                                            Type: DoubleFloat
--E 31

---------------------------------------------------------------------
Test 32 sets the variable sb and it echos properly
---------------------------------------------------------------------

--S 32 of 50
sb := 1.1::DoubleFloat
--G 
--G
--G   (32)  1.1000000000000001
--G                                                            Type: DoubleFloat
--R 
--R
--R   (32)  1.1000000000000001
--R                                                            Type: DoubleFloat
--E 32

---------------------------------------------------------------------
But test 47 fails (see the mismatches reported below).
---------------------------------------------------------------------

--S 47 of 50
qtest(sa, sb, 4)
--G 
--G
--G   (47)
--G   [1.1102230246251565E-16, 0.,
--G    3.3306690738754696E-16 + 4.4408920985006262E-16 %i, 
2.2204460492503131E-16,
--G    0., 2.2204460492503131E-16 + -2.2204460492503131E-16 %i,
--G    2.2204460492503131E-16 + 2.2204460492503131E-16 %i, 
1.1102230246251565E-16,
--G    -2.2204460492503131E-16 + 2.2204460492503131E-16 %i,
--G    2.2204460492503131E-16 + -2.2204460492503131E-16 %i,
--G    3.3306690738754696E-16 + 2.2204460492503131E-16 %i, 0.,
--G    6.6613381477509392E-16 %i, -1.1102230246251565E-16, 0.,
--G    1.1102230246251565E-16, 1.1102230246251565E-16, 0., 
1.1102230246251565E-16,
--G    -6.6613381477509392E-16, -2.2204460492503131E-16, 
-1.1102230246251565E-16,
--G    1.1102230246251565E-16, 0., -1.1102230246251565E-16,
--G    -1.1102230246251565E-16]
--G                                               Type: List Complex DoubleFloat
--R 
--R
--R   (47)
--R   [1.1102230246251565E-16, 0.,
--R    3.3306690738754696E-16 + 4.4408920985006262E-16 %i, 
2.2204460492503131E-16,
--R    -1.1102230246251565E-16,
--R    2.2204460492503131E-16 + -2.2204460492503131E-16 %i,
--R    2.2204460492503131E-16 + 2.2204460492503131E-16 %i, 
1.1102230246251565E-16,
--R    -2.2204460492503131E-16 + 2.2204460492503131E-16 %i,
--R    2.2204460492503131E-16 + -2.2204460492503131E-16 %i,
--R    1.1102230246251565E-16 + 2.2204460492503131E-16 %i, 0.,
--R    6.6613381477509392E-16 %i, -1.1102230246251565E-16, 0., 0.,
--R    2.2204460492503131E-16 %i, 0., 0., -6.6613381477509392E-16,
--R    -2.2204460492503131E-16, -1.1102230246251565E-16, 1.1102230246251565E-16,
--R    0., -1.1102230246251565E-16, -1.1102230246251565E-16]
--R                                               Type: List Complex DoubleFloat
--E 47

--MISMATCH
--expected:"    0., -1.1102230246251565E-16, -1.1102230246251565E-16]"
--     got:"    -1.1102230246251565E-16]"
--MISMATCH
--expected:"    -2.2204460492503131E-16, -1.1102230246251565E-16, 
1.1102230246251565E-16,"
--     got:"    1.1102230246251565E-16, 0., -1.1102230246251565E-16,"
--MISMATCH
--expected:"    2.2204460492503131E-16 %i, 0., 0., -6.6613381477509392E-16,"
--     got:"    -6.6613381477509392E-16, -2.2204460492503131E-16, 
-1.1102230246251565E-16,"
--MISMATCH
--expected:"    6.6613381477509392E-16 %i, -1.1102230246251565E-16, 0., 0.,"
--     got:"    1.1102230246251565E-16, 1.1102230246251565E-16, 0., 
1.1102230246251565E-16,"
--MISMATCH
--expected:"    1.1102230246251565E-16 + 2.2204460492503131E-16 %i, 0.,"
--     got:"    6.6613381477509392E-16 %i, -1.1102230246251565E-16, 0.,"
--MISMATCH
--expected:"    2.2204460492503131E-16 + -2.2204460492503131E-16 %i,"
--     got:"    3.3306690738754696E-16 + 2.2204460492503131E-16 %i, 0.,"
--MISMATCH
--expected:"    -2.2204460492503131E-16 + 2.2204460492503131E-16 %i,"
--     got:"    2.2204460492503131E-16 + -2.2204460492503131E-16 %i,"
--MISMATCH
--expected:"    2.2204460492503131E-16 + 2.2204460492503131E-16 %i, 
1.1102230246251565E-16,"
--     got:"    -2.2204460492503131E-16 + 2.2204460492503131E-16 %i,"
--MISMATCH
--expected:"    2.2204460492503131E-16 + -2.2204460492503131E-16 %i,"
--     got:"    2.2204460492503131E-16 + 2.2204460492503131E-16 %i, 
1.1102230246251565E-16,"
--MISMATCH
--expected:"    -1.1102230246251565E-16,"
--     got:"    0., 2.2204460492503131E-16 + -2.2204460492503131E-16 %i,"
--FAILED elemnum  47 of 50
--
--
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