Re: [WIP] New package: sagemath-9.5.beta5

[dkwo <dkwo@users.noreply.github.com>]

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New comment by dkwo on void-packages repository

https://github.com/void-linux/void-packages/pull/34030#issuecomment-974783747

Comment:
With the `beta7`, using
```
checkdepends=${makedepends}
do_check() {
  ./sage -tp ${XBPS_MAKEJOBS} --all
}
```
I got the same errors as reported in https://github.com/void-linux/void-packages/pull/34030#issuecomment-968081092 , plus a few more ones, of the same nature (rounding errors). Do we have any issue or missing patch with `arb`?
```
sage -t --random-seed=143111302483655198481928268308882618130 src/sage/functions/gamma.py  # 1 doctest failed
File "src/sage/functions/gamma.py", line 1052, in sage.functions.gamma.Function_beta._method_arguments
Failed example:
    RBF(beta(sin(3),sqrt(RBF(2).add_error(1e-8)/3)))
Expected:
    [7.407662 +/- 6.17e-7]
Got:
    [7.4076616 +/- 5.44e-8]

sage -t --random-seed=143111302483655198481928268308882618130 src/sage/rings/complex_arb.pyx  # 3 doctests failed
File "src/sage/rings/complex_arb.pyx", line 4192, in sage.rings.complex_arb.ComplexBall.Ei
Failed example:
    CBF(Ei(I))
Expected:
    [0.337403922900968 +/- 3.76e-16] + [2.51687939716208 +/- 2.01e-15]*I
Got:
    [0.337403922900968 +/- 4.31e-16] + [2.51687939716208 +/- 2.01e-15]*I
**********************************************************************
File "src/sage/rings/complex_arb.pyx", line 4242, in sage.rings.complex_arb.ComplexBall.Ci
Failed example:
    CBF(Ci(I))
Expected:
    [0.837866940980208 +/- 4.72e-16] + [1.570796326794897 +/- 5.54e-16]*I
Got:
    [0.837866940980208 +/- 4.78e-16] + [1.570796326794897 +/- 5.54e-16]*I
**********************************************************************
File "src/sage/rings/complex_arb.pyx", line 4294, in sage.rings.complex_arb.ComplexBall.Chi
Failed example:
    CBF(Chi(I))
Expected:
    [0.337403922900968 +/- 3.25e-16] + [1.570796326794897 +/- 5.54e-16]*I
Got:
    [0.337403922900968 +/- 3.80e-16] + [1.570796326794897 +/- 5.54e-16]*I

sage -t --random-seed=143111302483655198481928268308882618130 src/sage/rings/real_arb.pyx  # 12 doctests failed
File "src/sage/rings/real_arb.pyx", line 3492, in sage.rings.real_arb.RealBall.Ei
Failed example:
    RBF(1).Ei()
Expected:
    [1.89511781635594 +/- 4.94e-15]
Got:
    [1.89511781635594 +/- 5.11e-15]
**********************************************************************
File "src/sage/rings/real_arb.pyx", line 3497, in sage.rings.real_arb.RealBall.Ei
Failed example:
    RBF(Ei(1))
Expected:
    [1.89511781635594 +/- 4.94e-15]
Got:
    [1.89511781635594 +/- 5.11e-15]
**********************************************************************
File "src/sage/rings/real_arb.pyx", line 3534, in sage.rings.real_arb.RealBall.Ci
Failed example:
    RBF(1).Ci()
Expected:
    [0.337403922900968 +/- 3.25e-16]
Got:
    [0.337403922900968 +/- 3.80e-16]
**********************************************************************
File "src/sage/rings/real_arb.pyx", line 3539, in sage.rings.real_arb.RealBall.Ci
Failed example:
    RBF(Ci(1))
Expected:
    [0.337403922900968 +/- 3.25e-16]
Got:
    [0.337403922900968 +/- 3.80e-16]
**********************************************************************
File "src/sage/rings/real_arb.pyx", line 3578, in sage.rings.real_arb.RealBall.Chi
Failed example:
    RBF(1).Chi()
Expected:
    [0.837866940980208 +/- 4.72e-16]
Got:
    [0.837866940980208 +/- 4.78e-16]
**********************************************************************
File "src/sage/rings/real_arb.pyx", line 3583, in sage.rings.real_arb.RealBall.Chi
Failed example:
    RBF(Chi(1))
Expected:
    [0.837866940980208 +/- 4.72e-16]
Got:
    [0.837866940980208 +/- 4.78e-16]
**********************************************************************
File "src/sage/rings/real_arb.pyx", line 3600, in sage.rings.real_arb.RealBall.li
Failed example:
    RBF(3).li()
Expected:
    [2.16358859466719 +/- 4.72e-15]
Got:
    [2.16358859466719 +/- 5.11e-15]
**********************************************************************
File "src/sage/rings/real_arb.pyx", line 3624, in sage.rings.real_arb.RealBall.Li
Failed example:
    RBF(3).Li()
Expected:
    [1.11842481454970 +/- 7.61e-15]
Got:
    [1.11842481454970 +/- 8.00e-15]
**********************************************************************
File "src/sage/rings/real_arb.pyx", line 3651, in sage.rings.real_arb.RealBall.beta
Failed example:
    RBF(sin(3)).beta(RBF(2/3).sqrt())
Expected:
    [7.407661629415 +/- 1.07e-13]
Got:
    [7.4076616294151 +/- 5.60e-14]
**********************************************************************
File "src/sage/rings/real_arb.pyx", line 3653, in sage.rings.real_arb.RealBall.beta
Failed example:
    RealBallField(100)(7/2).beta(1)
Expected:
    [0.28571428571428571428571428571 +/- 5.23e-30]
Got:
    [0.28571428571428571428571428571 +/- 4.93e-30]
**********************************************************************
File "src/sage/rings/real_arb.pyx", line 3688, in sage.rings.real_arb.RealBall.gamma
Failed example:
    RBF(gamma(3/2, RBF(2).sqrt()))
Expected:
    [0.37118875695353 +/- 3.00e-15]
Got:
    [0.37118875695353 +/- 3.01e-15]
**********************************************************************
File "src/sage/rings/real_arb.pyx", line 3690, in sage.rings.real_arb.RealBall.gamma
Failed example:
    RBF(3/2).gamma_inc(RBF(2).sqrt())
Expected:
    [0.37118875695353 +/- 3.00e-15]
Got:
    [0.37118875695353 +/- 3.01e-15]

sage -t --random-seed=143111302483655198481928268308882618130 src/sage/symbolic/function.pyx  # 1 doctest failed
File "src/sage/symbolic/function.pyx", line 629, in sage.symbolic.function.Function._is_numerical
Failed example:
    gamma(b, 1)
Expected:
    [0.50728223 +/- 4.67e-9]
Got:
    [0.507282234 +/- 3.81e-10]
```