[Ipopt] Many zeros in derivative checker

[R zu]

Hi.

I tried the derivative check. Frequently, I see lots of zeros in the finite
difference estimations of Ipopt.

Is that normal?

When the first derivative is incorrect, I also don't get result for 2nd
derivative check.

The first derivatives shouldn't have that many zeros unless I am horribly
wrong.

When I see the error for the first time, I thought I made mistakes.  I
wrote my own finite difference checker to check all routines. Re-derived
all equations for several times with pencil and paper and later
Mathematica. The finite difference checker that I wrote would use a smaller
and smaller difference (half of last iteration) until the check is correct
for 3 consecutive iterations.

Starting derivative checker for first derivatives.

* grad_f[          0] =  1.1842907632351778e+01    ~
0.0000000000000000e+00  [ 1.184e+01]
* grad_f[          1] =  1.2460424906788026e-01    ~
0.0000000000000000e+00  [ 1.246e-01]
* grad_f[          2] =  1.0472805499858380e+00    ~
0.0000000000000000e+00  [ 1.047e+00]
* grad_f[          3] =  6.9931703730830419e-01    ~
0.0000000000000000e+00  [ 6.993e-01]
* grad_f[          4] =  2.4718739239530851e-01    ~
0.0000000000000000e+00  [ 2.472e-01]
* grad_f[          5] =  1.5221697258770076e+01    ~
0.0000000000000000e+00  [ 1.522e+01]
* grad_f[          6] =  2.5724843958348642e+00    ~
0.0000000000000000e+00  [ 2.572e+00]
* grad_f[          7] =  1.5711814169401492e+01    ~
4.7683715820312500e+01  [ 6.705e-01]
* grad_f[          8] = -1.9468098702340781e+00    ~
0.0000000000000000e+00  [ 1.947e+00]
* grad_f[         12] =  1.5052015333215602e+04    ~
1.5020370483398438e+04  [ 2.107e-03]
* grad_f[         13] =  9.0539372794162846e+03    ~
9.0599060058593750e+03  [ 6.588e-04]
* grad_f[         14] =  2.0330803745533816e+04    ~
2.0313262939453125e+04  [ 8.635e-04]
* grad_f[         30] = -2.2537556863763431e+04    ~
-2.2554397583007812e+04  [ 7.467e-04]
* grad_f[         31] =  9.3473397836600474e+04    ~
9.3460083007812500e+04  [ 1.425e-04]
* grad_f[         32] =  2.4648223780746073e+04    ~
2.4652481079101562e+04  [ 1.727e-04]
Starting derivative checker for second derivatives.


Derivative checker detected 15 error(s).
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