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- Distributed under the Boost Software License, Version 1.0. (See accompanying - file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -
-Table of Contents
-Table 1. Error rates for beta
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
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- Sun compiler version 0x5150 |
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- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Beta Function: Small Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 2.86ε (Mean = 1.22ε) |
-
- - Max = 2.86ε (Mean = 1.22ε) - - |
-
- - Max = 2.23ε (Mean = 1.14ε) - - |
-
|
- - Beta Function: Medium Values - - |
-
-
- Max = 0.978ε (Mean = 0.0595ε) |
-
-
- Max = 61.4ε (Mean = 19.4ε) |
-
- - Max = 107ε (Mean = 24.5ε) - - |
-
- - Max = 96.5ε (Mean = 22.4ε) - - |
-
|
- - Beta Function: Divergent Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 8.99ε (Mean = 2.44ε) |
-
- - Max = 18.8ε (Mean = 2.71ε) - - |
-
- - Max = 11.4ε (Mean = 2.19ε) - - |
-
Table 2. Error rates for beta (incomplete)
-| - | -
-
- GNU C++ version 7.1.0 |
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-
- GNU C++ version 7.1.0 |
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-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Incomplete Beta Function: Small Values - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 11.1ε (Mean = 2.32ε) - - |
-
- - Max = 18.7ε (Mean = 3.19ε) - - |
-
- - Max = 9.94ε (Mean = 2.17ε) - - |
-
|
- - Incomplete Beta Function: Medium Values - - |
-
- - Max = 0.568ε (Mean = 0.0254ε) - - |
-
- - Max = 69.2ε (Mean = 13.4ε) - - |
-
- - Max = 174ε (Mean = 25ε) - - |
-
- - Max = 90ε (Mean = 12.7ε) - - |
-
|
- - Incomplete Beta Function: Large and Diverse Values - - |
-
- - Max = 0.999ε (Mean = 0.0325ε) - - |
-
- - Max = 6.84e+04ε (Mean = 2.76e+03ε) - - |
-
- - Max = 6.86e+04ε (Mean = 2.79e+03ε) - - |
-
- - Max = 633ε (Mean = 29.7ε) - - |
-
|
- - Incomplete Beta Function: Small Integer Values - - |
-
- - Max = 0.786ε (Mean = 0.0323ε) - - |
-
- - Max = 11.6ε (Mean = 3.6ε) - - |
-
- - Max = 51.8ε (Mean = 11ε) - - |
-
- - Max = 26ε (Mean = 6.28ε) - - |
-
Table 3. Error rates for betac
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Incomplete Beta Function: Small Values - - |
-
- - Max = 0.676ε (Mean = 0.0302ε) - - |
-
- - Max = 9.92ε (Mean = 2.3ε) - - |
-
- - Max = 11.2ε (Mean = 2.94ε) - - |
-
- - Max = 8.94ε (Mean = 2.06ε) - - |
-
|
- - Incomplete Beta Function: Medium Values - - |
-
- - Max = 0.949ε (Mean = 0.098ε) - - |
-
- - Max = 63.5ε (Mean = 13.5ε) - - |
-
- - Max = 97.6ε (Mean = 24.3ε) - - |
-
- - Max = 90.6ε (Mean = 14.8ε) - - |
-
|
- - Incomplete Beta Function: Large and Diverse Values - - |
-
- - Max = 1.12ε (Mean = 0.0458ε) - - |
-
- - Max = 1.05e+05ε (Mean = 5.45e+03ε) - - |
-
- - Max = 1.04e+05ε (Mean = 5.46e+03ε) - - |
-
- - Max = 3.72e+03ε (Mean = 113ε) - - |
-
|
- - Incomplete Beta Function: Small Integer Values - - |
-
- - Max = 0.586ε (Mean = 0.0314ε) - - |
-
- - Max = 11.1ε (Mean = 3.65ε) - - |
-
- - Max = 103ε (Mean = 17.4ε) - - |
-
- - Max = 26.2ε (Mean = 6.36ε) - - |
-
Table 4. Error rates for binomial_coefficient
-| - | -
-
- GNU C++ version 7.1.0 |
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-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Binomials: small arguments - - |
-
- - Max = 1ε (Mean = 0.369ε) - - |
-
- - Max = 1.5ε (Mean = 0.339ε) - - |
-
- - Max = 1.5ε (Mean = 0.339ε) - - |
-
- - Max = 1ε (Mean = 0.369ε) - - |
-
|
- - Binomials: large arguments - - |
-
- - Max = 0.939ε (Mean = 0.314ε) - - |
-
- - Max = 26.6ε (Mean = 6.13ε) - - |
-
- - Max = 53.2ε (Mean = 10.8ε) - - |
-
- - Max = 37.2ε (Mean = 7.4ε) - - |
-
Table 5. Error rates for boost::math::powm1
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
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-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - powm1 - - |
-
-
- (<math.h>: Max = 2.04ε (Mean = 0.493ε)) |
-
-
- (Rmath 3.2.3: Max = 1.06ε (Mean = 0.425ε)) |
-
-
- Max = 1.88ε (Mean = 0.49ε) |
-
-
- (<math.h>: Max = 1.84ε (Mean = 0.486ε)) |
-
Table 6. Error rates for cbrt
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - cbrt Function - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
-
- Max = 1.34ε (Mean = 0.471ε) |
-
-
- Max = 1.34ε (Mean = 0.471ε) |
-
-
- Max = 1.7ε (Mean = 0.565ε) |
-
Table 7. Error rates for cos_pi
-| - | -
-
- GNU C++ version 7.1.0 |
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-
- GNU C++ version 7.1.0 |
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-
- Sun compiler version 0x5150 |
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-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - sin_pi and cos_pi - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.991ε (Mean = 0.302ε) - - |
-
- - Max = 0.991ε (Mean = 0.302ε) - - |
-
- - Max = 0.996ε (Mean = 0.284ε) - - |
-
|
- - sin_pi and cos_pi near integers and half integers - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.976ε (Mean = 0.28ε) - - |
-
- - Max = 0.976ε (Mean = 0.28ε) - - |
-
- - Max = 0.996ε (Mean = 0.298ε) - - |
-
Table 8. Error rates for cyl_bessel_i
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel I0: Mathworld Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 1.95ε (Mean = 0.738ε) |
-
- - Max = 1.95ε (Mean = 0.661ε) - - |
-
- - Max = 0.762ε (Mean = 0.329ε) - - |
-
|
- - Bessel I1: Mathworld Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0.64ε (Mean = 0.202ε) |
-
- - Max = 0.64ε (Mean = 0.202ε) - - |
-
- - Max = 0.767ε (Mean = 0.398ε) - - |
-
|
- - Bessel In: Mathworld Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 1.8ε (Mean = 1.33ε) |
-
- - Max = 463ε (Mean = 140ε) - - |
-
- - Max = 3.46ε (Mean = 1.32ε) - - |
-
|
- - Bessel Iv: Mathworld Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 4.12ε (Mean = 1.85ε) |
-
- - Max = 4.12ε (Mean = 1.95ε) - - |
-
- - Max = 2.97ε (Mean = 1.24ε) - - |
-
|
- - Bessel In: Random Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 4.62ε (Mean = 1.06ε) |
-
- - Max = 176ε (Mean = 39.1ε) - - |
-
- - Max = 9.67ε (Mean = 1.88ε) - - |
-
|
- - Bessel Iv: Random Data - - |
-
-
- Max = 0.661ε (Mean = 0.0441ε) |
-
-
- Max = 8.35ε (Mean = 1.62ε) |
-
- - Max = 283ε (Mean = 88.4ε) - - |
-
- - Max = 7.46ε (Mean = 1.71ε) - - |
-
|
- - Bessel Iv: Mathworld Data (large values) - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 14.7ε (Mean = 6.66ε) |
-
- - Max = 14.7ε (Mean = 6.59ε) - - |
-
- - Max = 3.67ε (Mean = 1.64ε) - - |
-
Table 9. Error rates for cyl_bessel_i (integer orders)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel I0: Mathworld Data (Integer Version) - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 1.95ε (Mean = 0.738ε) |
-
- - Max = 1.95ε (Mean = 0.661ε) - - |
-
- - Max = 0.762ε (Mean = 0.329ε) - - |
-
|
- - Bessel I1: Mathworld Data (Integer Version) - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0.64ε (Mean = 0.202ε) |
-
- - Max = 0.64ε (Mean = 0.202ε) - - |
-
- - Max = 0.767ε (Mean = 0.398ε) - - |
-
|
- - Bessel In: Mathworld Data (Integer Version) - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 1.8ε (Mean = 1.33ε) |
-
- - Max = 463ε (Mean = 140ε) - - |
-
- - Max = 3.46ε (Mean = 1.32ε) - - |
-
Table 10. Error rates for cyl_bessel_i_prime
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel I'0: Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.82ε (Mean = 0.259ε) - - |
-
- - Max = 0.82ε (Mean = 0.259ε) - - |
-
- - Max = 0.82ε (Mean = 0.354ε) - - |
-
|
- - Bessel I'1: Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 1.97ε (Mean = 0.757ε) - - |
-
- - Max = 1.97ε (Mean = 0.757ε) - - |
-
- - Max = 1.36ε (Mean = 0.782ε) - - |
-
|
- - Bessel I'n: Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 2.31ε (Mean = 1.41ε) - - |
-
- - Max = 701ε (Mean = 212ε) - - |
-
- - Max = 3.61ε (Mean = 1.22ε) - - |
-
|
- - Bessel I'v: Mathworld Data - - |
-
- - Max = 1.62ε (Mean = 0.512ε) - - |
-
- - Max = 2.89e+03ε (Mean = 914ε) - - |
-
- - Max = 2.89e+03ε (Mean = 914ε) - - |
-
- - Max = 3.76e+03ε (Mean = 1.19e+03ε) - - |
-
|
- - Bessel I'n: Random Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 3.95ε (Mean = 1.06ε) - - |
-
- - Max = 195ε (Mean = 37.1ε) - - |
-
- - Max = 9.85ε (Mean = 1.82ε) - - |
-
|
- - Bessel I'v: Random Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 14.1ε (Mean = 2.93ε) - - |
-
- - Max = 336ε (Mean = 68.5ε) - - |
-
- - Max = 14ε (Mean = 2.5ε) - - |
-
|
- - Bessel I'v: Mathworld Data (large values) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 42.6ε (Mean = 20.2ε) - - |
-
- - Max = 42.6ε (Mean = 20.2ε) - - |
-
- - Max = 59.5ε (Mean = 26.6ε) - - |
-
Table 11. Error rates for cyl_bessel_i_prime (integer orders)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel I'0: Mathworld Data (Integer Version) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.82ε (Mean = 0.259ε) - - |
-
- - Max = 0.82ε (Mean = 0.259ε) - - |
-
- - Max = 0.82ε (Mean = 0.354ε) - - |
-
|
- - Bessel I'1: Mathworld Data (Integer Version) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 1.97ε (Mean = 0.757ε) - - |
-
- - Max = 1.97ε (Mean = 0.757ε) - - |
-
- - Max = 1.36ε (Mean = 0.782ε) - - |
-
|
- - Bessel I'n: Mathworld Data (Integer Version) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 2.31ε (Mean = 1.41ε) - - |
-
- - Max = 701ε (Mean = 212ε) - - |
-
- - Max = 3.61ε (Mean = 1.22ε) - - |
-
Table 12. Error rates for cyl_bessel_j
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel J0: Mathworld Data - - |
-
-
- Max = 6.55ε (Mean = 2.86ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 6.55ε (Mean = 2.86ε) - - |
-
- - Max = 2.52ε (Mean = 1.2ε) - - |
-
|
- - Bessel J0: Mathworld Data (Tricky cases) - - |
-
-
- Max = 1.64e+08ε (Mean = 6.69e+07ε) |
-
-
- Max = 8e+04ε (Mean = 3.27e+04ε) |
-
- - Max = 1.64e+08ε (Mean = 6.69e+07ε) - - |
-
- - Max = 1e+07ε (Mean = 4.09e+06ε) - - |
-
|
- - Bessel J1: Mathworld Data - - |
-
-
- Max = 3.59ε (Mean = 1.33ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.44ε (Mean = 0.637ε) - - |
-
- - Max = 1.73ε (Mean = 0.976ε) - - |
-
|
- - Bessel J1: Mathworld Data (tricky cases) - - |
-
-
- Max = 2.18e+05ε (Mean = 9.76e+04ε) |
-
-
- Max = 106ε (Mean = 47.5ε) |
-
- - Max = 2.18e+05ε (Mean = 9.76e+04ε) - - |
-
- - Max = 3.23e+04ε (Mean = 1.45e+04ε) - - |
-
|
- - Bessel JN: Mathworld Data - - |
-
-
- Max = 6.85ε (Mean = 3.35ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 463ε (Mean = 112ε) - - |
-
- - Max = 14.7ε (Mean = 5.4ε) - - |
-
|
- - Bessel J: Mathworld Data - - |
-
-
- Max = 14.7ε (Mean = 4.11ε) |
-
-
- Max = 10ε (Mean = 2.24ε) |
-
- - Max = 14.7ε (Mean = 4.22ε) - - |
-
- - Max = 14.9ε (Mean = 3.89ε) - - |
-
|
- - Bessel J: Mathworld Data (large values) - - |
-
-
- Max = 607ε (Mean = 305ε) |
-
-
- Max = 0.536ε (Mean = 0.268ε) |
-
- - Max = 607ε (Mean = 305ε) - - |
-
- - Max = 9.31ε (Mean = 5.52ε) - - |
-
|
- - Bessel JN: Random Data - - |
-
-
- Max = 50.8ε (Mean = 3.69ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 99.6ε (Mean = 22ε) - - |
-
- - Max = 17.5ε (Mean = 1.46ε) - - |
-
|
- - Bessel J: Random Data - - |
-
-
- Max = 11.4ε (Mean = 1.68ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 260ε (Mean = 34ε) - - |
-
- - Max = 9.24ε (Mean = 1.17ε) - - |
-
|
- - Bessel J: Random Data (Tricky large values) - - |
-
-
- Max = 785ε (Mean = 94.2ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 785ε (Mean = 97.4ε) - - |
-
- - Max = 59.2ε (Mean = 8.67ε) - - |
-
Table 13. Error rates for cyl_bessel_j (integer orders)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel J0: Mathworld Data (Integer Version) - - |
-
-
- Max = 6.55ε (Mean = 2.86ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 6.55ε (Mean = 2.86ε) - - |
-
-
- Max = 2.52ε (Mean = 1.2ε) |
-
|
- - Bessel J0: Mathworld Data (Tricky cases) (Integer Version) - - |
-
-
- Max = 1.64e+08ε (Mean = 6.69e+07ε) |
-
-
- Max = 8e+04ε (Mean = 3.27e+04ε) |
-
- - Max = 1.64e+08ε (Mean = 6.69e+07ε) - - |
-
-
- Max = 1e+07ε (Mean = 4.09e+06ε) |
-
|
- - Bessel J1: Mathworld Data (Integer Version) - - |
-
-
- Max = 3.59ε (Mean = 1.33ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.44ε (Mean = 0.637ε) - - |
-
-
- Max = 1.73ε (Mean = 0.976ε) |
-
|
- - Bessel J1: Mathworld Data (tricky cases) (Integer Version) - - |
-
-
- Max = 2.18e+05ε (Mean = 9.76e+04ε) |
-
-
- Max = 106ε (Mean = 47.5ε) |
-
- - Max = 2.18e+05ε (Mean = 9.76e+04ε) - - |
-
-
- Max = 3.23e+04ε (Mean = 1.45e+04ε) |
-
|
- - Bessel JN: Mathworld Data (Integer Version) - - |
-
-
- Max = 6.85ε (Mean = 3.35ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 463ε (Mean = 112ε) - - |
-
-
- Max = 14.7ε (Mean = 5.4ε) |
-
Table 14. Error rates for cyl_bessel_j_prime
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel J0': Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 18.9ε (Mean = 6.82ε) - - |
-
- - Max = 18.9ε (Mean = 6.72ε) - - |
-
- - Max = 6.62ε (Mean = 2.55ε) - - |
-
|
- - Bessel J0': Mathworld Data (Tricky cases) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 7.44ε (Mean = 3.34ε) - - |
-
- - Max = 7.44ε (Mean = 3.31ε) - - |
-
- - Max = 3.67ε (Mean = 1.74ε) - - |
-
|
- - Bessel J1': Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 7.9ε (Mean = 3.37ε) - - |
-
- - Max = 7.9ε (Mean = 3.37ε) - - |
-
- - Max = 0.999ε (Mean = 0.627ε) - - |
-
|
- - Bessel J1': Mathworld Data (tricky cases) - - |
-
- - Max = 287ε (Mean = 129ε) - - |
-
- - Max = 5.88e+05ε (Mean = 2.63e+05ε) - - |
-
- - Max = 5.88e+05ε (Mean = 2.63e+05ε) - - |
-
- - Max = 288ε (Mean = 129ε) - - |
-
|
- - Bessel JN': Mathworld Data - - |
-
- - Max = 0.527ε (Mean = 0.128ε) - - |
-
- - Max = 1.29e+03ε (Mean = 312ε) - - |
-
- - Max = 1.29e+03ε (Mean = 355ε) - - |
-
- - Max = 14ε (Mean = 6.13ε) - - |
-
|
- - Bessel J': Mathworld Data - - |
-
- - Max = 21.5ε (Mean = 4.7ε) - - |
-
- - Max = 42.5ε (Mean = 9.31ε) - - |
-
- - Max = 42.5ε (Mean = 9.32ε) - - |
-
- - Max = 23.7ε (Mean = 8ε) - - |
-
|
- - Bessel J': Mathworld Data (large values) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 989ε (Mean = 495ε) - - |
-
- - Max = 989ε (Mean = 495ε) - - |
-
- - Max = 2.9ε (Mean = 1.61ε) - - |
-
|
- - Bessel JN': Random Data - - |
-
- - Max = 0.593ε (Mean = 0.0396ε) - - |
-
- - Max = 11.3ε (Mean = 1.85ε) - - |
-
- - Max = 79.4ε (Mean = 16.2ε) - - |
-
- - Max = 6.34ε (Mean = 0.999ε) - - |
-
|
- - Bessel J': Random Data - - |
-
- - Max = 0.885ε (Mean = 0.033ε) - - |
-
- - Max = 139ε (Mean = 6.47ε) - - |
-
- - Max = 279ε (Mean = 27.2ε) - - |
-
- - Max = 176ε (Mean = 9.75ε) - - |
-
|
- - Bessel J': Random Data (Tricky large values) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 474ε (Mean = 62.2ε) - - |
-
- - Max = 474ε (Mean = 64.5ε) - - |
-
- - Max = 379ε (Mean = 45.4ε) - - |
-
Table 15. Error rates for cyl_bessel_j_prime (integer orders)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel J0': Mathworld Data (Integer Version) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 18.9ε (Mean = 6.82ε) - - |
-
- - Max = 18.9ε (Mean = 6.72ε) - - |
-
- - Max = 6.62ε (Mean = 2.55ε) - - |
-
|
- - Bessel J0': Mathworld Data (Tricky cases) (Integer Version) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 7.44ε (Mean = 3.34ε) - - |
-
- - Max = 7.44ε (Mean = 3.31ε) - - |
-
- - Max = 3.67ε (Mean = 1.74ε) - - |
-
|
- - Bessel J1': Mathworld Data (Integer Version) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 7.9ε (Mean = 3.37ε) - - |
-
- - Max = 7.9ε (Mean = 3.37ε) - - |
-
- - Max = 0.999ε (Mean = 0.627ε) - - |
-
|
- - Bessel J1': Mathworld Data (tricky cases) (Integer Version) - - |
-
- - Max = 287ε (Mean = 129ε) - - |
-
- - Max = 5.88e+05ε (Mean = 2.63e+05ε) - - |
-
- - Max = 5.88e+05ε (Mean = 2.63e+05ε) - - |
-
- - Max = 288ε (Mean = 129ε) - - |
-
|
- - Bessel JN': Mathworld Data (Integer Version) - - |
-
- - Max = 0.527ε (Mean = 0.128ε) - - |
-
- - Max = 1.29e+03ε (Mean = 312ε) - - |
-
- - Max = 1.29e+03ε (Mean = 355ε) - - |
-
- - Max = 14ε (Mean = 6.13ε) - - |
-
Table 16. Error rates for cyl_bessel_k
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel K0: Mathworld Data - - |
-
-
- Max = 0.833ε (Mean = 0.436ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.833ε (Mean = 0.436ε) - - |
-
- - Max = 0.833ε (Mean = 0.552ε) - - |
-
|
- - Bessel K1: Mathworld Data - - |
-
-
- Max = 0.786ε (Mean = 0.329ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.786ε (Mean = 0.329ε) - - |
-
- - Max = 0.786ε (Mean = 0.39ε) - - |
-
|
- - Bessel Kn: Mathworld Data - - |
-
-
- Max = 2.6ε (Mean = 1.21ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 2.6ε (Mean = 1.21ε) - - |
-
- - Max = 3.63ε (Mean = 1.46ε) - - |
-
|
- - Bessel Kv: Mathworld Data - - |
-
-
- Max = 3.58ε (Mean = 2.39ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 5.21ε (Mean = 2.53ε) - - |
-
- - Max = 4.78ε (Mean = 2.19ε) - - |
-
|
- - Bessel Kv: Mathworld Data (large values) - - |
-
-
- Max = 42.3ε (Mean = 21ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 42.3ε (Mean = 21ε) - - |
-
- - Max = 59.8ε (Mean = 26.9ε) - - |
-
|
- - Bessel Kn: Random Data - - |
-
-
- Max = 4.55ε (Mean = 1.12ε) |
-
-
- Max = 0.764ε (Mean = 0.0348ε) |
-
- - Max = 4.55ε (Mean = 1.12ε) - - |
-
- - Max = 9.34ε (Mean = 1.7ε) - - |
-
|
- - Bessel Kv: Random Data - - |
-
-
- Max = 7.88ε (Mean = 1.48ε) |
-
-
- Max = 0.507ε (Mean = 0.0313ε) |
-
- - Max = 7.88ε (Mean = 1.47ε) - - |
-
- - Max = 8.33ε (Mean = 1.62ε) - - |
-
Table 17. Error rates for cyl_bessel_k (integer orders)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel K0: Mathworld Data (Integer Version) - - |
-
-
- Max = 0.833ε (Mean = 0.436ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.833ε (Mean = 0.436ε) - - |
-
- - Max = 0.833ε (Mean = 0.552ε) - - |
-
|
- - Bessel K1: Mathworld Data (Integer Version) - - |
-
-
- Max = 0.786ε (Mean = 0.329ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.786ε (Mean = 0.329ε) - - |
-
- - Max = 0.786ε (Mean = 0.39ε) - - |
-
|
- - Bessel Kn: Mathworld Data (Integer Version) - - |
-
-
- Max = 2.6ε (Mean = 1.21ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 2.6ε (Mean = 1.21ε) - - |
-
- - Max = 3.63ε (Mean = 1.46ε) - - |
-
Table 18. Error rates for cyl_bessel_k_prime
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel K'0: Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.786ε (Mean = 0.329ε) - - |
-
- - Max = 0.786ε (Mean = 0.329ε) - - |
-
- - Max = 0.786ε (Mean = 0.39ε) - - |
-
|
- - Bessel K'1: Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.736ε (Mean = 0.389ε) - - |
-
- - Max = 0.736ε (Mean = 0.389ε) - - |
-
- - Max = 0.761ε (Mean = 0.444ε) - - |
-
|
- - Bessel K'n: Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 2.16ε (Mean = 1.08ε) - - |
-
- - Max = 2.16ε (Mean = 1.08ε) - - |
-
- - Max = 4.17ε (Mean = 1.75ε) - - |
-
|
- - Bessel K'v: Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 3.94ε (Mean = 2.44ε) - - |
-
- - Max = 3.94ε (Mean = 2.34ε) - - |
-
- - Max = 3.94ε (Mean = 1.47ε) - - |
-
|
- - Bessel K'v: Mathworld Data (large values) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 59.2ε (Mean = 42.9ε) - - |
-
- - Max = 58.7ε (Mean = 42.6ε) - - |
-
- - Max = 18.6ε (Mean = 11.8ε) - - |
-
|
- - Bessel K'n: Random Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 4.45ε (Mean = 1.19ε) - - |
-
- - Max = 4.45ε (Mean = 1.19ε) - - |
-
- - Max = 9.67ε (Mean = 1.73ε) - - |
-
|
- - Bessel K'v: Random Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 7.95ε (Mean = 1.53ε) - - |
-
- - Max = 7.95ε (Mean = 1.52ε) - - |
-
- - Max = 8.32ε (Mean = 1.65ε) - - |
-
Table 19. Error rates for cyl_bessel_k_prime (integer orders)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel K'0: Mathworld Data (Integer Version) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.786ε (Mean = 0.329ε) - - |
-
- - Max = 0.786ε (Mean = 0.329ε) - - |
-
- - Max = 0.786ε (Mean = 0.39ε) - - |
-
|
- - Bessel K'1: Mathworld Data (Integer Version) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.736ε (Mean = 0.389ε) - - |
-
- - Max = 0.736ε (Mean = 0.389ε) - - |
-
- - Max = 0.761ε (Mean = 0.444ε) - - |
-
|
- - Bessel K'n: Mathworld Data (Integer Version) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 2.16ε (Mean = 1.08ε) - - |
-
- - Max = 2.16ε (Mean = 1.08ε) - - |
-
- - Max = 4.17ε (Mean = 1.75ε) - - |
-
Table 20. Error rates for cyl_neumann
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Y0: Mathworld Data - - |
-
-
- Max = 5.53ε (Mean = 2.4ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 5.53ε (Mean = 2.4ε) - - |
-
- - Max = 4.61ε (Mean = 2.29ε) - - |
-
|
- - Y1: Mathworld Data - - |
-
-
- Max = 6.33ε (Mean = 2.25ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 6.33ε (Mean = 2.29ε) - - |
-
- - Max = 4.75ε (Mean = 1.72ε) - - |
-
|
- - Yn: Mathworld Data - - |
-
-
- Max = 55.2ε (Mean = 17.8ε) |
-
-
- Max = 0.993ε (Mean = 0.314ε) |
-
- - Max = 55.2ε (Mean = 17.8ε) - - |
-
- - Max = 35ε (Mean = 11.9ε) - - |
-
|
- - Yv: Mathworld Data - - |
-
-
- Max = 10.7ε (Mean = 4.93ε) |
-
-
- Max = 10ε (Mean = 3.02ε) |
-
- - Max = 10.7ε (Mean = 5.1ε) - - |
-
- - Max = 7.89ε (Mean = 3.27ε) - - |
-
|
- - Yv: Mathworld Data (large values) - - |
-
-
- Max = 1.7ε (Mean = 1.33ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.7ε (Mean = 1.33ε) - - |
-
- - Max = 0.682ε (Mean = 0.423ε) - - |
-
|
- - Y0 and Y1: Random Data - - |
-
-
- Max = 10.8ε (Mean = 3.04ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 10.8ε (Mean = 3.04ε) - - |
-
- - Max = 4.17ε (Mean = 1.24ε) - - |
-
|
- - Yn: Random Data - - |
-
-
- Max = 338ε (Mean = 27.5ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 338ε (Mean = 27.5ε) - - |
-
- - Max = 117ε (Mean = 10.2ε) - - |
-
|
- - Yv: Random Data - - |
-
-
- Max = 2.08e+03ε (Mean = 149ε) |
-
-
- Max = 1.53ε (Mean = 0.102ε) |
-
- - Max = 2.08e+03ε (Mean = 149ε) - - |
-
- - Max = 1.23e+03ε (Mean = 69.9ε) - - |
-
Table 21. Error rates for cyl_neumann (integer orders)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Y0: Mathworld Data (Integer Version) - - |
-
-
- Max = 5.53ε (Mean = 2.4ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 5.53ε (Mean = 2.4ε) - - |
-
-
- Max = 4.61ε (Mean = 2.29ε) |
-
|
- - Y1: Mathworld Data (Integer Version) - - |
-
-
- Max = 6.33ε (Mean = 2.25ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 6.33ε (Mean = 2.29ε) - - |
-
-
- Max = 4.75ε (Mean = 1.72ε) |
-
|
- - Yn: Mathworld Data (Integer Version) - - |
-
-
- Max = 55.2ε (Mean = 17.8ε) |
-
-
- Max = 0.993ε (Mean = 0.314ε) |
-
- - Max = 55.2ε (Mean = 17.8ε) - - |
-
-
- Max = 35ε (Mean = 11.9ε) |
-
Table 22. Error rates for cyl_neumann_prime
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Y'0: Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 6.33ε (Mean = 3.12ε) - - |
-
- - Max = 6.33ε (Mean = 3.14ε) - - |
-
- - Max = 4.75ε (Mean = 1.75ε) - - |
-
|
- - Y'1: Mathworld Data - - |
-
- - Max = 0.58ε (Mean = 0.193ε) - - |
-
- - Max = 37.1ε (Mean = 12.8ε) - - |
-
- - Max = 34ε (Mean = 11.8ε) - - |
-
- - Max = 3.08ε (Mean = 1.2ε) - - |
-
|
- - Y'n: Mathworld Data - - |
-
- - Max = 2.05ε (Mean = 0.677ε) - - |
-
- - Max = 56ε (Mean = 18.2ε) - - |
-
- - Max = 56ε (Mean = 21.3ε) - - |
-
- - Max = 563ε (Mean = 178ε) - - |
-
|
- - Y'v: Mathworld Data - - |
-
- - Max = 21.5ε (Mean = 6.49ε) - - |
-
- - Max = 42.5ε (Mean = 13.4ε) - - |
-
- - Max = 42.5ε (Mean = 13.6ε) - - |
-
- - Max = 23.7ε (Mean = 10.1ε) - - |
-
|
- - Y'v: Mathworld Data (large values) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 1.57ε (Mean = 1.24ε) - - |
-
- - Max = 1.57ε (Mean = 1.24ε) - - |
-
- - Max = 0.627ε (Mean = 0.237ε) - - |
-
|
- - Y'0 and Y'1: Random Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 23.8ε (Mean = 3.69ε) - - |
-
- - Max = 23.8ε (Mean = 3.69ε) - - |
-
- - Max = 5.95ε (Mean = 1.36ε) - - |
-
|
- - Y'n: Random Data - - |
-
- - Max = 1.53ε (Mean = 0.0885ε) - - |
-
- - Max = 2.35e+03ε (Mean = 136ε) - - |
-
- - Max = 2.35e+03ε (Mean = 136ε) - - |
-
- - Max = 621ε (Mean = 36ε) - - |
-
|
- - Y'v: Random Data - - |
-
- - Max = 56.8ε (Mean = 2.59ε) - - |
-
- - Max = 1.16e+05ε (Mean = 5.28e+03ε) - - |
-
- - Max = 1.16e+05ε (Mean = 5.28e+03ε) - - |
-
- - Max = 3.23e+04ε (Mean = 1.13e+03ε) - - |
-
Table 23. Error rates for cyl_neumann_prime (integer orders)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Y'0: Mathworld Data (Integer Version) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 6.33ε (Mean = 3.12ε) - - |
-
- - Max = 6.33ε (Mean = 3.14ε) - - |
-
- - Max = 4.75ε (Mean = 1.75ε) - - |
-
|
- - Y'1: Mathworld Data (Integer Version) - - |
-
- - Max = 0.58ε (Mean = 0.193ε) - - |
-
- - Max = 37.1ε (Mean = 12.8ε) - - |
-
- - Max = 34ε (Mean = 11.8ε) - - |
-
- - Max = 3.08ε (Mean = 1.2ε) - - |
-
|
- - Y'n: Mathworld Data (Integer Version) - - |
-
- - Max = 2.05ε (Mean = 0.677ε) - - |
-
- - Max = 56ε (Mean = 18.2ε) - - |
-
- - Max = 56ε (Mean = 21.3ε) - - |
-
- - Max = 563ε (Mean = 178ε) - - |
-
Table 24. Error rates for digamma
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Digamma Function: Large Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.39ε (Mean = 0.413ε) - - |
-
- - Max = 1.39ε (Mean = 0.413ε) - - |
-
- - Max = 0.98ε (Mean = 0.369ε) - - |
-
|
- - Digamma Function: Near the Positive Root - - |
-
-
- Max = 0.891ε (Mean = 0.0995ε) |
-
- - Max = 1.37ε (Mean = 0.477ε) - - |
-
- - Max = 1.31ε (Mean = 0.471ε) - - |
-
- - Max = 0.997ε (Mean = 0.527ε) - - |
-
|
- - Digamma Function: Near Zero - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.984ε (Mean = 0.361ε) - - |
-
- - Max = 0.984ε (Mean = 0.361ε) - - |
-
- - Max = 0.953ε (Mean = 0.337ε) - - |
-
|
- - Digamma Function: Negative Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 180ε (Mean = 13ε) - - |
-
- - Max = 180ε (Mean = 13ε) - - |
-
- - Max = 214ε (Mean = 16.1ε) - - |
-
|
- - Digamma Function: Values near 0 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1ε (Mean = 0.592ε) - - |
-
- - Max = 1ε (Mean = 0.592ε) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
|
- - Digamma Function: Integer arguments - - |
-
-
- Max = 0.992ε (Mean = 0.215ε) |
-
- - Max = 0.888ε (Mean = 0.403ε) - - |
-
- - Max = 0.888ε (Mean = 0.403ε) - - |
-
- - Max = 0.992ε (Mean = 0.452ε) - - |
-
|
- - Digamma Function: Half integer arguments - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.906ε (Mean = 0.409ε) - - |
-
- - Max = 0.906ε (Mean = 0.409ε) - - |
-
- - Max = 0.78ε (Mean = 0.314ε) - - |
-
Table 25. Error rates for ellint_1
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Elliptic Integral F: Mathworld Data - - |
-
-
- Max = 0.94ε (Mean = 0.509ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.94ε (Mean = 0.509ε) - - |
-
- - Max = 0.919ε (Mean = 0.542ε) - - |
-
|
- - Elliptic Integral F: Random Data - - |
-
-
- Max = 1.57ε (Mean = 0.56ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.57ε (Mean = 0.561ε) - - |
-
- - Max = 2.26ε (Mean = 0.631ε) - - |
-
Table 26. Error rates for ellint_1 (complete)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Elliptic Integral K: Mathworld Data - - |
-
-
- Max = 0.887ε (Mean = 0.296ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.887ε (Mean = 0.296ε) - - |
-
- - Max = 0.915ε (Mean = 0.547ε) - - |
-
|
- - Elliptic Integral K: Random Data - - |
-
-
- Max = 1.27ε (Mean = 0.473ε) |
-
-
- Max = 0.851ε (Mean = 0.0851ε) |
-
- - Max = 1.27ε (Mean = 0.473ε) - - |
-
- - Max = 0.958ε (Mean = 0.408ε) - - |
-
Table 27. Error rates for ellint_2
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Elliptic Integral E: Mathworld Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0.656ε (Mean = 0.317ε) |
-
- - Max = 0.656ε (Mean = 0.317ε) - - |
-
- - Max = 1.31ε (Mean = 0.727ε) - - |
-
|
- - Elliptic Integral E: Random Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 2.05ε (Mean = 0.632ε) |
-
- - Max = 2.05ε (Mean = 0.632ε) - - |
-
- - Max = 2.23ε (Mean = 0.639ε) - - |
-
|
- - Elliptic Integral E: Small Angles - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 1ε (Mean = 0.283ε) |
-
- - Max = 1ε (Mean = 0.283ε) - - |
-
- - Max = 1ε (Mean = 0.421ε) - - |
-
Table 28. Error rates for ellint_2 (complete)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Elliptic Integral E: Mathworld Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0.836ε (Mean = 0.469ε) |
-
- - Max = 0.836ε (Mean = 0.469ε) - - |
-
- - Max = 1.3ε (Mean = 0.615ε) - - |
-
|
- - Elliptic Integral E: Random Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 1.97ε (Mean = 0.629ε) |
-
- - Max = 1.97ε (Mean = 0.629ε) - - |
-
- - Max = 1.71ε (Mean = 0.553ε) - - |
-
Table 29. Error rates for ellint_3
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Elliptic Integral PI: Mathworld Data - - |
-
-
- Max = 475ε (Mean = 86.3ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 475ε (Mean = 86.3ε) - - |
-
- - Max = 565ε (Mean = 102ε) - - |
-
|
- - Elliptic Integral PI: Random Data - - |
-
-
- Max = 4.54ε (Mean = 0.895ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 4.49ε (Mean = 0.885ε) - - |
-
- - Max = 8.33ε (Mean = 0.971ε) - - |
-
|
- - Elliptic Integral PI: Large Random Data - - |
-
-
- Max = 3.7ε (Mean = 0.893ε) |
-
-
- Max = 0.557ε (Mean = 0.0389ε) |
-
- - Max = 3.7ε (Mean = 0.892ε) - - |
-
- - Max = 2.86ε (Mean = 0.944ε) - - |
-
Table 30. Error rates for ellint_3 (complete)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Complete Elliptic Integral PI: Mathworld Data - - |
-
-
- Max = 1.4ε (Mean = 0.575ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.4ε (Mean = 0.575ε) - - |
-
- - Max = 0.971ε (Mean = 0.464ε) - - |
-
|
- - Complete Elliptic Integral PI: Random Data - - |
-
-
- Max = 2.45ε (Mean = 0.696ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 2.4ε (Mean = 0.677ε) - - |
-
- - Max = 2.46ε (Mean = 0.657ε) - - |
-
Table 31. Error rates for ellint_d
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Elliptic Integral E: Mathworld Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.3ε (Mean = 0.813ε) - - |
-
- - Max = 1.3ε (Mean = 0.813ε) - - |
-
- - Max = 0.862ε (Mean = 0.457ε) - - |
-
|
- - Elliptic Integral D: Random Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 2.51ε (Mean = 0.883ε) - - |
-
- - Max = 2.51ε (Mean = 0.883ε) - - |
-
- - Max = 2.87ε (Mean = 0.805ε) - - |
-
Table 32. Error rates for ellint_d (complete)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Elliptic Integral E: Mathworld Data - - |
-
- - Max = 0.637ε (Mean = 0.368ε) - - |
-
- - Max = 1.27ε (Mean = 0.735ε) - - |
-
- - Max = 1.27ε (Mean = 0.735ε) - - |
-
- - Max = 0.637ε (Mean = 0.368ε) - - |
-
|
- - Elliptic Integral D: Random Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 1.27ε (Mean = 0.334ε) - - |
-
- - Max = 1.27ε (Mean = 0.334ε) - - |
-
- - Max = 1.27ε (Mean = 0.355ε) - - |
-
Table 33. Error rates for ellint_rc
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|
|
- - RC: Random data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.995ε (Mean = 0.433ε) - - |
-
- - Max = 0.962ε (Mean = 0.407ε) - - |
-
Table 34. Error rates for ellint_rd
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|
|
- - RD: Random data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 2.73ε (Mean = 0.831ε) - - |
-
- - Max = 2.16ε (Mean = 0.803ε) - - |
-
|
- - RD: y = z - - |
-
-
- Max = 0.896ε (Mean = 0.022ε) |
-
- - Max = 2.65ε (Mean = 0.82ε) - - |
-
- - Max = 16.5ε (Mean = 0.843ε) - - |
-
|
- - RD: x = y - - |
-
-
- Max = 0.824ε (Mean = 0.0272ε) |
-
- - Max = 2.85ε (Mean = 0.865ε) - - |
-
- - Max = 3.51ε (Mean = 0.816ε) - - |
-
|
- - RD: x = 0, y = z - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.19ε (Mean = 0.522ε) - - |
-
- - Max = 1.16ε (Mean = 0.497ε) - - |
-
|
- - RD: x = y = z - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.998ε (Mean = 0.387ε) - - |
-
- - Max = 1.03ε (Mean = 0.418ε) - - |
-
|
- - RD: x = 0 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 2.79ε (Mean = 0.883ε) - - |
-
- - Max = 2.64ε (Mean = 0.894ε) - - |
-
Table 35. Error rates for ellint_rf
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|
|
- - RF: Random data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 2.54ε (Mean = 0.674ε) - - |
-
- - Max = 2.02ε (Mean = 0.677ε) - - |
-
|
- - RF: x = y = z - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.991ε (Mean = 0.345ε) - - |
-
- - Max = 0.999ε (Mean = 0.34ε) - - |
-
|
- - RF: x = y or y = z or x = z - - |
-
-
- Max = 0.536ε (Mean = 0.00658ε) |
-
- - Max = 1.95ε (Mean = 0.418ε) - - |
-
- - Max = 1.21ε (Mean = 0.394ε) - - |
-
|
- - RF: x = 0, y = z - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.894ε (Mean = 0.338ε) - - |
-
- - Max = 0.999ε (Mean = 0.407ε) - - |
-
|
- - RF: z = 0 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.7ε (Mean = 0.539ε) - - |
-
- - Max = 1.89ε (Mean = 0.587ε) - - |
-
Table 36. Error rates for ellint_rg
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|
|
- - RG: Random Data - - |
-
-
- Max = 0.983ε (Mean = 0.0172ε) |
-
- - Max = 3.95ε (Mean = 0.951ε) - - |
-
- - Max = 3.65ε (Mean = 0.929ε) - - |
-
|
- - RG: two values 0 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
|
- - RG: All values the same or zero - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.992ε (Mean = 0.288ε) - - |
-
- - Max = 1.06ε (Mean = 0.348ε) - - |
-
|
- - RG: two values the same - - |
-
-
- Max = 0.594ε (Mean = 0.0103ε) |
-
- - Max = 1.51ε (Mean = 0.404ε) - - |
-
- - Max = 1.96ε (Mean = 0.374ε) - - |
-
|
- - RG: one value zero - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 2.14ε (Mean = 0.722ε) - - |
-
- - Max = 1.96ε (Mean = 0.674ε) - - |
-
Table 37. Error rates for ellint_rj
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|
|
- - RJ: Random data - - |
-
-
- Max = 0.52ε (Mean = 0.0184ε) |
-
- - Max = 186ε (Mean = 6.67ε) - - |
-
- - Max = 215ε (Mean = 7.66ε) - - |
-
|
- - RJ: 4 Equal Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.998ε (Mean = 0.387ε) - - |
-
- - Max = 1.03ε (Mean = 0.418ε) - - |
-
|
- - RJ: 3 Equal Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 20.8ε (Mean = 0.986ε) - - |
-
- - Max = 39.9ε (Mean = 1.17ε) - - |
-
|
- - RJ: 2 Equal Values - - |
-
-
- Max = 0.6ε (Mean = 0.0228ε) |
-
- - Max = 220ε (Mean = 6.64ε) - - |
-
- - Max = 214ε (Mean = 5.28ε) - - |
-
|
- - RJ: Equal z and p - - |
-
-
- Max = 0.742ε (Mean = 0.0166ε) |
-
- - Max = 17.2ε (Mean = 1.16ε) - - |
-
- - Max = 16.1ε (Mean = 1.14ε) - - |
-
Table 38. Error rates for erf
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Erf Function: Small Values - - |
-
-
- Max = 0.925ε (Mean = 0.193ε) |
-
-
- Max = 0.841ε (Mean = 0.0687ε) |
-
-
- Max = 0.925ε (Mean = 0.193ε) |
-
-
- Max = 0.996ε (Mean = 0.182ε) |
-
|
- - Erf Function: Medium Values - - |
-
-
- Max = 1.5ε (Mean = 0.193ε) |
-
-
- Max = 1ε (Mean = 0.119ε) |
-
-
- Max = 1.5ε (Mean = 0.197ε) |
-
-
- Max = 1ε (Mean = 0.171ε) |
-
|
- - Erf Function: Large Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
Table 39. Error rates for erf_inv
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Inverse Erf Function - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.996ε (Mean = 0.389ε) - - |
-
- - Max = 1.08ε (Mean = 0.395ε) - - |
-
- - Max = 1.09ε (Mean = 0.502ε) - - |
-
Table 40. Error rates for erfc
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Erf Function: Small Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0.658ε (Mean = 0.0537ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
|
- - Erf Function: Medium Values - - |
-
-
- Max = 1.76ε (Mean = 0.365ε) |
-
-
- Max = 0.983ε (Mean = 0.213ε) |
-
-
- Max = 1.76ε (Mean = 0.38ε) |
-
-
- Max = 1.65ε (Mean = 0.373ε) |
-
|
- - Erf Function: Large Values - - |
-
-
- Max = 1.57ε (Mean = 0.542ε) |
-
-
- Max = 0.868ε (Mean = 0.147ε) |
-
-
- Max = 1.57ε (Mean = 0.564ε) |
-
-
- Max = 1.14ε (Mean = 0.248ε) |
-
Table 41. Error rates for erfc_inv
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Inverse Erfc Function - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.996ε (Mean = 0.397ε) - - |
-
- - Max = 1.08ε (Mean = 0.403ε) - - |
-
- - Max = 1ε (Mean = 0.491ε) - - |
-
|
- - Inverse Erfc Function: extreme values - - |
-- | -
- - Max = 1.62ε (Mean = 0.383ε) - - |
-
- - Max = 1.62ε (Mean = 0.383ε) - - |
-- | -
Table 42. Error rates for expint (Ei)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Exponential Integral Ei - - |
-
-
- Max = 5.05ε (Mean = 0.821ε) |
-
-
- Max = 0.994ε (Mean = 0.142ε) |
-
- - Max = 5.05ε (Mean = 0.835ε) - - |
-
- - Max = 1.43ε (Mean = 0.54ε) - - |
-
|
- - Exponential Integral Ei: double exponent range - - |
-
-
- Max = 1.72ε (Mean = 0.593ε) |
-
-
- Max = 0.998ε (Mean = 0.156ε) |
-
- - Max = 1.72ε (Mean = 0.607ε) - - |
-
- - Max = 1.7ε (Mean = 0.66ε) - - |
-
|
- - Exponential Integral Ei: long exponent range - - |
-
-
- Max = 1.98ε (Mean = 0.595ε) |
-- | -
- - Max = 1.98ε (Mean = 0.575ε) - - |
-- | -
Table 43. Error rates for expint (En)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Exponential Integral En - - |
-
-
- Max = 0.589ε (Mean = 0.0331ε) |
-
- - Max = 9.97ε (Mean = 2.13ε) - - |
-
- - Max = 9.97ε (Mean = 2.13ε) - - |
-
- - Max = 7.16ε (Mean = 1.85ε) - - |
-
|
- - Exponential Integral En: small z values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.99ε (Mean = 0.559ε) - - |
-
- - Max = 1.99ε (Mean = 0.559ε) - - |
-
- - Max = 2.62ε (Mean = 0.531ε) - - |
-
|
- - Exponential Integral E1 - - |
-
-
- Max = 0.556ε (Mean = 0.0625ε) |
-
- - Max = 0.965ε (Mean = 0.414ε) - - |
-
- - Max = 0.965ε (Mean = 0.408ε) - - |
-
- - Max = 0.988ε (Mean = 0.486ε) - - |
-
Table 44. Error rates for expm1
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Random test data - - |
-
-
- Max = 0.992ε (Mean = 0.402ε) |
-
-
- Max = 0.793ε (Mean = 0.126ε) |
-
-
- Max = 1.31ε (Mean = 0.428ε) |
-
-
- Max = 1.31ε (Mean = 0.496ε) |
-
Table 45. Error rates for gamma_p
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - tgamma(a, z) medium values - - |
-
-
- Max = 0.955ε (Mean = 0.05ε) |
-
- - Max = 41.6ε (Mean = 8.09ε) - - |
-
- - Max = 239ε (Mean = 30.2ε) - - |
-
- - Max = 35.1ε (Mean = 6.98ε) - - |
-
|
- - tgamma(a, z) small values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 2ε (Mean = 0.464ε) - - |
-
- - Max = 2ε (Mean = 0.461ε) - - |
-
- - Max = 1.54ε (Mean = 0.439ε) - - |
-
|
- - tgamma(a, z) large values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 3.08e+04ε (Mean = 1.86e+03ε) - - |
-
- - Max = 3.02e+04ε (Mean = 1.91e+03ε) - - |
-
- - Max = 243ε (Mean = 20.2ε) - - |
-
|
- - tgamma(a, z) integer and half integer values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 11.8ε (Mean = 2.66ε) - - |
-
- - Max = 71.6ε (Mean = 9.47ε) - - |
-
- - Max = 13ε (Mean = 2.97ε) - - |
-
Table 46. Error rates for gamma_p_inv
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - incomplete gamma inverse(a, z) medium values - - |
-
-
- Max = 0.993ε (Mean = 0.15ε) |
-
- - Max = 1.8ε (Mean = 0.406ε) - - |
-
- - Max = 1.89ε (Mean = 0.466ε) - - |
-
- - Max = 1.71ε (Mean = 0.34ε) - - |
-
|
- - incomplete gamma inverse(a, z) large values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.509ε (Mean = 0.0447ε) - - |
-
- - Max = 0.509ε (Mean = 0.0447ε) - - |
-
- - Max = 0.924ε (Mean = 0.108ε) - - |
-
|
- - incomplete gamma inverse(a, z) small values - - |
-
-
- Max = 441ε (Mean = 53.9ε) |
-
- - Max = 9.17e+03ε (Mean = 1.45e+03ε) - - |
-
- - Max = 1.09e+04ε (Mean = 1.3e+03ε) - - |
-
- - Max = 1.1e+03ε (Mean = 131ε) - - |
-
Table 47. Error rates for gamma_p_inva
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Incomplete gamma inverses. - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 7.87ε (Mean = 1.15ε) - - |
-
- - Max = 4.08ε (Mean = 1.12ε) - - |
-
- - Max = 4.92ε (Mean = 1.03ε) - - |
-
Table 48. Error rates for gamma_q
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - tgamma(a, z) medium values - - |
-
-
- Max = 0.927ε (Mean = 0.035ε) |
-
- - Max = 32.3ε (Mean = 6.61ε) - - |
-
- - Max = 199ε (Mean = 26.6ε) - - |
-
- - Max = 23.7ε (Mean = 4ε) - - |
-
|
- - tgamma(a, z) small values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 2.45ε (Mean = 0.885ε) - - |
-
- - Max = 2.45ε (Mean = 0.819ε) - - |
-
- - Max = 2.26ε (Mean = 0.74ε) - - |
-
|
- - tgamma(a, z) large values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 6.82e+03ε (Mean = 414ε) - - |
-
- - Max = 1.15e+04ε (Mean = 733ε) - - |
-
- - Max = 469ε (Mean = 31.5ε) - - |
-
|
- - tgamma(a, z) integer and half integer values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 11.1ε (Mean = 2.07ε) - - |
-
- - Max = 54.7ε (Mean = 6.16ε) - - |
-
- - Max = 8.72ε (Mean = 1.48ε) - - |
-
Table 49. Error rates for gamma_q_inv
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - incomplete gamma inverse(a, z) medium values - - |
-
-
- Max = 0.912ε (Mean = 0.154ε) |
-
- - Max = 6.2ε (Mean = 0.627ε) - - |
-
- - Max = 6.2ε (Mean = 0.683ε) - - |
-
- - Max = 2.88ε (Mean = 0.469ε) - - |
-
|
- - incomplete gamma inverse(a, z) large values - - |
-
-
- Max = 0.894ε (Mean = 0.0915ε) |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.814ε (Mean = 0.0856ε) - - |
-
|
- - incomplete gamma inverse(a, z) small values - - |
-
-
- Max = 292ε (Mean = 36.4ε) |
-
- - Max = 8.28e+03ε (Mean = 1.09e+03ε) - - |
-
- - Max = 8.98e+03ε (Mean = 877ε) - - |
-
- - Max = 451ε (Mean = 64.7ε) - - |
-
Table 50. Error rates for gamma_q_inva
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Incomplete gamma inverses. - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 8.42ε (Mean = 1.3ε) - - |
-
- - Max = 7.86ε (Mean = 1.24ε) - - |
-
- - Max = 5.05ε (Mean = 1.08ε) - - |
-
Table 51. Error rates for hermite
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Hermite Polynomials - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 6.24ε (Mean = 2.07ε) - - |
-
- - Max = 6.24ε (Mean = 2.07ε) - - |
-
- - Max = 4.46ε (Mean = 1.41ε) - - |
-
Table 52. Error rates for heuman_lambda
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Elliptic Integral Jacobi Zeta: Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 1.89ε (Mean = 0.887ε) - - |
-
- - Max = 1.89ε (Mean = 0.887ε) - - |
-
- - Max = 1.08ε (Mean = 0.734ε) - - |
-
|
- - Elliptic Integral Heuman Lambda: Random Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 3.82ε (Mean = 0.609ε) - - |
-
- - Max = 3.82ε (Mean = 0.608ε) - - |
-
- - Max = 2.12ε (Mean = 0.588ε) - - |
-
Table 53. Error rates for ibeta
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Incomplete Beta Function: Small Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 8.97ε (Mean = 2.09ε) - - |
-
- - Max = 21.3ε (Mean = 2.75ε) - - |
-
- - Max = 8.4ε (Mean = 1.93ε) - - |
-
|
- - Incomplete Beta Function: Medium Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 50ε (Mean = 12.1ε) - - |
-
- - Max = 124ε (Mean = 18.4ε) - - |
-
- - Max = 106ε (Mean = 16.3ε) - - |
-
|
- - Incomplete Beta Function: Large and Diverse Values - - |
-
-
- Max = 1.26ε (Mean = 0.063ε) |
-
- - Max = 1.96e+04ε (Mean = 997ε) - - |
-
- - Max = 4.98e+04ε (Mean = 2.07e+03ε) - - |
-
- - Max = 1.32e+03ε (Mean = 68.5ε) - - |
-
|
- - Incomplete Beta Function: Small Integer Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 4.45ε (Mean = 0.814ε) - - |
-
- - Max = 44.5ε (Mean = 10.1ε) - - |
-
- - Max = 3.85ε (Mean = 0.791ε) - - |
-
Table 54. Error rates for ibeta_inv
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Inverse incomplete beta - - |
-
-
- Max = 11ε (Mean = 0.345ε) |
-
- - Max = 3.8e+04ε (Mean = 2.66e+03ε) - - |
-
- - Max = 4.07e+04ε (Mean = 2.86e+03ε) - - |
-
- - Max = 8.59e+03ε (Mean = 277ε) - - |
-
Table 55. Error rates for ibeta_inva
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Inverse incomplete beta - - |
-
- - Max = 0.602ε (Mean = 0.0239ε) - - |
-
- - Max = 377ε (Mean = 24.4ε) - - |
-
- - Max = 438ε (Mean = 31.3ε) - - |
-
- - Max = 242ε (Mean = 22.9ε) - - |
-
Table 56. Error rates for ibeta_invb
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Inverse incomplete beta - - |
-
- - Max = 0.765ε (Mean = 0.0422ε) - - |
-
- - Max = 407ε (Mean = 27.2ε) - - |
-
- - Max = 407ε (Mean = 24.4ε) - - |
-
- - Max = 409ε (Mean = 19.3ε) - - |
-
Table 57. Error rates for ibetac
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Incomplete Beta Function: Small Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 10.6ε (Mean = 2.22ε) - - |
-
- - Max = 13.8ε (Mean = 2.68ε) - - |
-
- - Max = 6.94ε (Mean = 1.71ε) - - |
-
|
- - Incomplete Beta Function: Medium Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 73.9ε (Mean = 11.2ε) - - |
-
- - Max = 132ε (Mean = 19.8ε) - - |
-
- - Max = 56.7ε (Mean = 14.3ε) - - |
-
|
- - Incomplete Beta Function: Large and Diverse Values - - |
-
-
- Max = 0.981ε (Mean = 0.0573ε) |
-
- - Max = 3.45e+04ε (Mean = 1.32e+03ε) - - |
-
- - Max = 6.31e+04ε (Mean = 2.04e+03ε) - - |
-
- - Max = 1.88e+03ε (Mean = 82.7ε) - - |
-
|
- - Incomplete Beta Function: Small Integer Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 5.34ε (Mean = 1.11ε) - - |
-
- - Max = 107ε (Mean = 17.1ε) - - |
-
- - Max = 6.37ε (Mean = 1.03ε) - - |
-
Table 58. Error rates for ibetac_inv
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Inverse incomplete beta - - |
-
-
- Max = 0.977ε (Mean = 0.0976ε) |
-
- - Max = 4.88e+04ε (Mean = 3.16e+03ε) - - |
-
- - Max = 5.05e+04ε (Mean = 3.33e+03ε) - - |
-
- - Max = 2.93e+03ε (Mean = 198ε) - - |
-
Table 59. Error rates for ibetac_inva
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Inverse incomplete beta - - |
-
- - Max = 0.683ε (Mean = 0.0314ε) - - |
-
- - Max = 382ε (Mean = 22.2ε) - - |
-
- - Max = 315ε (Mean = 23.7ε) - - |
-
- - Max = 408ε (Mean = 26.7ε) - - |
-
Table 60. Error rates for ibetac_invb
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Inverse incomplete beta - - |
-
- - Max = 0.724ε (Mean = 0.0303ε) - - |
-
- - Max = 317ε (Mean = 19.8ε) - - |
-
- - Max = 369ε (Mean = 22.6ε) - - |
-
- - Max = 271ε (Mean = 16.4ε) - - |
-
Table 61. Error rates for jacobi_cn
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Jacobi Elliptic: Mathworld Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 71.6ε (Mean = 19.3ε) - - |
-
- - Max = 71.6ε (Mean = 19.4ε) - - |
-
- - Max = 45.8ε (Mean = 11.4ε) - - |
-
|
- - Jacobi Elliptic: Random Data - - |
-
-
- Max = 0.816ε (Mean = 0.0563ε) |
-
- - Max = 1.68ε (Mean = 0.443ε) - - |
-
- - Max = 1.68ε (Mean = 0.454ε) - - |
-
- - Max = 1.83ε (Mean = 0.455ε) - - |
-
|
- - Jacobi Elliptic: Random Small Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 10.4ε (Mean = 0.594ε) - - |
-
- - Max = 10.4ε (Mean = 0.602ε) - - |
-
- - Max = 26.2ε (Mean = 1.17ε) - - |
-
|
- - Jacobi Elliptic: Modulus near 1 - - |
-
-
- Max = 0.919ε (Mean = 0.127ε) |
-
- - Max = 675ε (Mean = 87.1ε) - - |
-
- - Max = 675ε (Mean = 86.8ε) - - |
-
- - Max = 513ε (Mean = 126ε) - - |
-
|
- - Jacobi Elliptic: Large Phi - - |
-
-
- Max = 14.2ε (Mean = 0.927ε) |
-
- - Max = 2.97e+04ε (Mean = 1.9e+03ε) - - |
-
- - Max = 2.97e+04ε (Mean = 1.9e+03ε) - - |
-
- - Max = 3.27e+04ε (Mean = 1.93e+03ε) - - |
-
Table 62. Error rates for jacobi_dn
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Jacobi Elliptic: Mathworld Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 49ε (Mean = 14ε) - - |
-
- - Max = 49ε (Mean = 14ε) - - |
-
- - Max = 34.3ε (Mean = 8.71ε) - - |
-
|
- - Jacobi Elliptic: Random Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.53ε (Mean = 0.473ε) - - |
-
- - Max = 1.53ε (Mean = 0.481ε) - - |
-
- - Max = 1.52ε (Mean = 0.466ε) - - |
-
|
- - Jacobi Elliptic: Random Small Values - - |
-
-
- Max = 0.5ε (Mean = 0.0122ε) |
-
- - Max = 22.4ε (Mean = 0.777ε) - - |
-
- - Max = 22.4ε (Mean = 0.763ε) - - |
-
- - Max = 16.1ε (Mean = 0.685ε) - - |
-
|
- - Jacobi Elliptic: Modulus near 1 - - |
-
-
- Max = 2.28ε (Mean = 0.194ε) |
-
- - Max = 3.75e+03ε (Mean = 293ε) - - |
-
- - Max = 3.75e+03ε (Mean = 293ε) - - |
-
- - Max = 6.24e+03ε (Mean = 482ε) - - |
-
|
- - Jacobi Elliptic: Large Phi - - |
-
-
- Max = 14.1ε (Mean = 0.897ε) |
-
- - Max = 2.82e+04ε (Mean = 1.79e+03ε) - - |
-
- - Max = 2.82e+04ε (Mean = 1.79e+03ε) - - |
-
- - Max = 1.67e+04ε (Mean = 1e+03ε) - - |
-
Table 63. Error rates for jacobi_sn
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Jacobi Elliptic: Mathworld Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 341ε (Mean = 80.7ε) - - |
-
- - Max = 341ε (Mean = 80.7ε) - - |
-
- - Max = 481ε (Mean = 113ε) - - |
-
|
- - Jacobi Elliptic: Random Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 2.01ε (Mean = 0.584ε) - - |
-
- - Max = 2.01ε (Mean = 0.593ε) - - |
-
- - Max = 1.92ε (Mean = 0.567ε) - - |
-
|
- - Jacobi Elliptic: Random Small Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.99ε (Mean = 0.347ε) - - |
-
- - Max = 1.99ε (Mean = 0.347ε) - - |
-
- - Max = 2.11ε (Mean = 0.385ε) - - |
-
|
- - Jacobi Elliptic: Modulus near 1 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 109ε (Mean = 7.35ε) - - |
-
- - Max = 109ε (Mean = 7.38ε) - - |
-
- - Max = 23.2ε (Mean = 1.85ε) - - |
-
|
- - Jacobi Elliptic: Large Phi - - |
-
-
- Max = 12ε (Mean = 0.771ε) |
-
- - Max = 2.45e+04ε (Mean = 1.51e+03ε) - - |
-
- - Max = 2.45e+04ε (Mean = 1.51e+03ε) - - |
-
- - Max = 4.36e+04ε (Mean = 2.54e+03ε) - - |
-
Table 64. Error rates for jacobi_zeta
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Elliptic Integral Jacobi Zeta: Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 1.66ε (Mean = 0.48ε) - - |
-
- - Max = 1.66ε (Mean = 0.48ε) - - |
-
- - Max = 1.52ε (Mean = 0.357ε) - - |
-
|
- - Elliptic Integral Jacobi Zeta: Random Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 2.99ε (Mean = 0.824ε) - - |
-
- - Max = 3.96ε (Mean = 1.06ε) - - |
-
- - Max = 3.89ε (Mean = 0.824ε) - - |
-
|
- - Elliptic Integral Jacobi Zeta: Large Phi Values - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 2.92ε (Mean = 0.951ε) - - |
-
- - Max = 3.05ε (Mean = 1.13ε) - - |
-
- - Max = 2.52ε (Mean = 0.977ε) - - |
-
Table 65. Error rates for laguerre(n, m, x)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Associated Laguerre Polynomials - - |
-
-
- Max = 0.84ε (Mean = 0.0358ε) |
-
-
- Max = 167ε (Mean = 6.38ε) |
-
- - Max = 167ε (Mean = 6.38ε) - - |
-
- - Max = 434ε (Mean = 11.1ε) - - |
-
Table 66. Error rates for laguerre(n, x)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Laguerre Polynomials - - |
-
-
- Max = 6.82ε (Mean = 0.408ε) |
-
-
- Max = 1.39e+04ε (Mean = 828ε) |
-
- - Max = 1.39e+04ε (Mean = 828ε) - - |
-
- - Max = 3.1e+03ε (Mean = 185ε) - - |
-
Table 67. Error rates for legendre_p
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Legendre Polynomials: Small Values - - |
-
-
- Max = 0.732ε (Mean = 0.0619ε) |
-
-
- Max = 69.2ε (Mean = 9.58ε) |
-
- - Max = 69.2ε (Mean = 9.58ε) - - |
-
- - Max = 211ε (Mean = 20.4ε) - - |
-
|
- - Legendre Polynomials: Large Values - - |
-
-
- Max = 0.632ε (Mean = 0.0693ε) |
-
-
- Max = 699ε (Mean = 59.6ε) |
-
- - Max = 699ε (Mean = 59.6ε) - - |
-
- - Max = 300ε (Mean = 33.2ε) - - |
-
Table 68. Error rates for legendre_p (associated)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Associated Legendre Polynomials: Small Values - - |
-
-
- Max = 0.999ε (Mean = 0.05ε) |
-
-
- Max = 175ε (Mean = 9.88ε) |
-
- - Max = 77.7ε (Mean = 5.59ε) - - |
-
- - Max = 121ε (Mean = 7.14ε) - - |
-
Table 69. Error rates for legendre_q
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Legendre Polynomials: Small Values - - |
-
-
- Max = 0.612ε (Mean = 0.0517ε) |
-
- - Max = 50.9ε (Mean = 9ε) - - |
-
- - Max = 50.9ε (Mean = 8.98ε) - - |
-
- - Max = 46.4ε (Mean = 7.32ε) - - |
-
|
- - Legendre Polynomials: Large Values - - |
-
-
- Max = 2.49ε (Mean = 0.202ε) |
-
- - Max = 5.98e+03ε (Mean = 478ε) - - |
-
- - Max = 5.98e+03ε (Mean = 478ε) - - |
-
- - Max = 4.6e+03ε (Mean = 366ε) - - |
-
Table 70. Error rates for lgamma
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - factorials - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0.991ε (Mean = 0.308ε) |
-
-
- Max = 0.991ε (Mean = 0.383ε) |
-
-
- Max = 0.914ε (Mean = 0.175ε) |
-
|
- - near 0 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 1.42ε (Mean = 0.566ε) |
-
-
- Max = 1.42ε (Mean = 0.566ε) |
-
-
- Max = 0.964ε (Mean = 0.462ε) |
-
|
- - near 1 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0.948ε (Mean = 0.36ε) |
-
-
- Max = 0.948ε (Mean = 0.36ε) |
-
-
- Max = 0.867ε (Mean = 0.468ε) |
-
|
- - near 2 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0.878ε (Mean = 0.242ε) |
-
-
- Max = 0.878ε (Mean = 0.242ε) |
-
-
- Max = 0.591ε (Mean = 0.159ε) |
-
|
- - near -10 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 3.81ε (Mean = 1.01ε) |
-
-
- Max = 3.81ε (Mean = 1.01ε) |
-
-
- Max = 4.22ε (Mean = 1.33ε) |
-
|
- - near -55 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0.821ε (Mean = 0.513ε) |
-
-
- Max = 1.59ε (Mean = 0.587ε) |
-
-
- Max = 0.821ε (Mean = 0.419ε) |
-
Table 71. Error rates for log1p
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Random test data - - |
-
-
- Max = 0.818ε (Mean = 0.227ε) |
-
-
- Max = 0.846ε (Mean = 0.153ε) |
-
-
- Max = 2.3ε (Mean = 0.66ε) |
-
-
- Max = 0.509ε (Mean = 0.057ε) |
-
Table 72. Error rates for non central beta CDF
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Non Central Beta, medium parameters - - |
-
-
- Max = 0.998ε (Mean = 0.0649ε) |
-
- - Max = 824ε (Mean = 27.4ε) - - |
-
- - Max = 832ε (Mean = 38.1ε) - - |
-
- - Max = 242ε (Mean = 31ε) - - |
-
|
- - Non Central Beta, large parameters - - |
-
-
- Max = 1.18ε (Mean = 0.175ε) |
-
- - Max = 2.5e+04ε (Mean = 3.78e+03ε) - - |
-
- - Max = 2.57e+04ε (Mean = 4.45e+03ε) - - |
-
- - Max = 3.66e+03ε (Mean = 500ε) - - |
-
Table 73. Error rates for non central beta CDF complement
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Non Central Beta, medium parameters - - |
-
-
- Max = 0.998ε (Mean = 0.0936ε) |
-
- - Max = 396ε (Mean = 50.7ε) - - |
-
- - Max = 554ε (Mean = 57.2ε) - - |
-
- - Max = 624ε (Mean = 62.7ε) - - |
-
|
- - Non Central Beta, large parameters - - |
-
-
- Max = 0.986ε (Mean = 0.188ε) |
-
- - Max = 6.83e+03ε (Mean = 993ε) - - |
-
- - Max = 3.56e+03ε (Mean = 707ε) - - |
-
- - Max = 1.25e+04ε (Mean = 1.49e+03ε) - - |
-
Table 74. Error rates for non central chi squared CDF
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Non Central Chi Squared, medium parameters - - |
-
-
- Max = 0.99ε (Mean = 0.0544ε) |
-
- - Max = 46.5ε (Mean = 10.3ε) - - |
-
- - Max = 115ε (Mean = 13.9ε) - - |
-
- - Max = 48.9ε (Mean = 10ε) - - |
-
|
- - Non Central Chi Squared, large parameters - - |
-
-
- Max = 1.07ε (Mean = 0.102ε) |
-
- - Max = 3.07e+03ε (Mean = 336ε) - - |
-
- - Max = 6.17e+03ε (Mean = 677ε) - - |
-
- - Max = 9.79e+03ε (Mean = 723ε) - - |
-
Table 75. Error rates for non central chi squared CDF complement
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Non Central Chi Squared, medium parameters - - |
-
-
- Max = 0.96ε (Mean = 0.0635ε) |
-
- - Max = 107ε (Mean = 17.2ε) - - |
-
- - Max = 171ε (Mean = 22.8ε) - - |
-
- - Max = 98.6ε (Mean = 15.8ε) - - |
-
|
- - Non Central Chi Squared, large parameters - - |
-
-
- Max = 2.11ε (Mean = 0.278ε) |
-
- - Max = 5.02e+03ε (Mean = 630ε) - - |
-
- - Max = 5.1e+03ε (Mean = 577ε) - - |
-
- - Max = 5.43e+03ε (Mean = 705ε) - - |
-
Table 76. Error rates for non central t CDF
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Non Central T - - |
-
-
- Max = 0.796ε (Mean = 0.0691ε) |
-
- - Max = 139ε (Mean = 31ε) - - |
-
- - Max = 145ε (Mean = 30.9ε) - - |
-
- - Max = 135ε (Mean = 32.1ε) - - |
-
|
- - Non Central T (small non-centrality) - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 3.86ε (Mean = 1.4ε) - - |
-
- - Max = 9.15ε (Mean = 2.13ε) - - |
-
- - Max = 6.17ε (Mean = 1.45ε) - - |
-
|
- - Non Central T (large parameters) - - |
-
-
- Max = 257ε (Mean = 72.1ε) |
-
- - Max = 5.26e+05ε (Mean = 1.48e+05ε) - - |
-
- - Max = 5.24e+05ε (Mean = 1.47e+05ε) - - |
-
- - Max = 286ε (Mean = 62.8ε) - - |
-
Table 77. Error rates for non central t CDF complement
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Non Central T - - |
-
-
- Max = 0.707ε (Mean = 0.0497ε) |
-
- - Max = 201ε (Mean = 31.7ε) - - |
-
- - Max = 340ε (Mean = 43.2ε) - - |
-
- - Max = 154ε (Mean = 32.1ε) - - |
-
|
- - Non Central T (small non-centrality) - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 10.5ε (Mean = 2.13ε) - - |
-
- - Max = 10.5ε (Mean = 2.39ε) - - |
-
- - Max = 4.6ε (Mean = 1.63ε) - - |
-
|
- - Non Central T (large parameters) - - |
-
-
- Max = 478ε (Mean = 96.3ε) |
-
- - Max = 9.79e+05ε (Mean = 1.97e+05ε) - - |
-
- - Max = 9.79e+05ε (Mean = 1.97e+05ε) - - |
-
- - Max = 227ε (Mean = 50.4ε) - - |
-
Table 78. Error rates for owens_t
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Owens T (medium small values) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 3.34ε (Mean = 0.944ε) - - |
-
- - Max = 3.34ε (Mean = 0.911ε) - - |
-
- - Max = 4.37ε (Mean = 0.98ε) - - |
-
|
- - Owens T (large and diverse values) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 49ε (Mean = 2.16ε) - - |
-
- - Max = 24.5ε (Mean = 1.39ε) - - |
-
- - Max = 3.78ε (Mean = 0.621ε) - - |
-
Table 79. Error rates for polygamma
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Mathematica Data - - |
-
-
- Max = 0.824ε (Mean = 0.0574ε) |
-
- - Max = 7.38ε (Mean = 1.84ε) - - |
-
- - Max = 34.3ε (Mean = 7.65ε) - - |
-
- - Max = 9.32ε (Mean = 1.95ε) - - |
-
|
- - Mathematica Data - large arguments - - |
-
-
- Max = 0.998ε (Mean = 0.0592ε) |
-
- - Max = 2.23ε (Mean = 0.323ε) - - |
-
- - Max = 11.1ε (Mean = 0.848ε) - - |
-
- - Max = 150ε (Mean = 13.9ε) - - |
-
|
- - Mathematica Data - negative arguments - - |
-
-
- Max = 0.516ε (Mean = 0.022ε) |
-
- - Max = 269ε (Mean = 87.7ε) - - |
-
- - Max = 269ε (Mean = 88.4ε) - - |
-
- - Max = 497ε (Mean = 129ε) - - |
-
|
- - Mathematica Data - large negative arguments - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 155ε (Mean = 96.4ε) - - |
-
- - Max = 155ε (Mean = 96.4ε) - - |
-
- - Max = 162ε (Mean = 101ε) - - |
-
|
- - Mathematica Data - small arguments - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 3.33ε (Mean = 0.75ε) - - |
-
- - Max = 3.33ε (Mean = 0.75ε) - - |
-
- - Max = 3ε (Mean = 0.496ε) - - |
-
|
- - Mathematica Data - Large orders and other bug cases - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 54.5ε (Mean = 13.3ε) - - |
-
- - Max = 145ε (Mean = 55.9ε) - - |
-
- - Max = 200ε (Mean = 57.2ε) - - |
-
Table 80. Error rates for powm1
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - powm1 - - |
-
- - Max = 1.06ε (Mean = 0.425ε) - - |
-
- - Max = 2.04ε (Mean = 0.493ε) - - |
-
- - Max = 1.88ε (Mean = 0.49ε) - - |
-
- - Max = 1.84ε (Mean = 0.486ε) - - |
-
Table 81. Error rates for sin_pi
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - sin_pi and cos_pi - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.996ε (Mean = 0.335ε) - - |
-
- - Max = 0.996ε (Mean = 0.336ε) - - |
-
- - Max = 0.99ε (Mean = 0.328ε) - - |
-
|
- - sin_pi and cos_pi near integers and half integers - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.976ε (Mean = 0.293ε) - - |
-
- - Max = 0.976ε (Mean = 0.293ε) - - |
-
- - Max = 0.996ε (Mean = 0.343ε) - - |
-
Table 82. Error rates for sph_bessel
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel j: Random Data - - |
-
-
- Max = 243ε (Mean = 13.3ε) |
-
-
- Max = 0.978ε (Mean = 0.0445ε) |
-
- - Max = 243ε (Mean = 33.7ε) - - |
-
- - Max = 245ε (Mean = 16.3ε) - - |
-
Table 83. Error rates for sph_bessel_prime
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel j': Random Data - - |
-
- - Max = 0.753ε (Mean = 0.0343ε) - - |
-
- - Max = 167ε (Mean = 12ε) - - |
-
- - Max = 167ε (Mean = 33.2ε) - - |
-
- - Max = 307ε (Mean = 25.2ε) - - |
-
Table 84. Error rates for sph_neumann
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - y: Random Data - - |
-
-
- Max = 234ε (Mean = 19.5ε) |
-
-
- Max = 0.995ε (Mean = 0.0665ε) |
-
- - Max = 234ε (Mean = 19.8ε) - - |
-
- - Max = 281ε (Mean = 31.1ε) - - |
-
Table 85. Error rates for sph_neumann_prime
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - y': Random Data - - |
-
- - Max = 0.988ε (Mean = 0.0869ε) - - |
-
- - Max = 158ε (Mean = 18.8ε) - - |
-
- - Max = 158ε (Mean = 20.2ε) - - |
-
- - Max = 296ε (Mean = 25.6ε) - - |
-
Table 86. Error rates for spherical_harmonic_i
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Spherical Harmonics - - |
-
- - Max = 1.36ε (Mean = 0.0765ε) - - |
-
- - Max = 2.89e+03ε (Mean = 108ε) - - |
-
- - Max = 1.03e+04ε (Mean = 327ε) - - |
-
- - Max = 2.27e+04ε (Mean = 725ε) - - |
-
Table 87. Error rates for spherical_harmonic_r
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Spherical Harmonics - - |
-
- - Max = 1.58ε (Mean = 0.0707ε) - - |
-
- - Max = 2.89e+03ε (Mean = 108ε) - - |
-
- - Max = 1.03e+04ε (Mean = 327ε) - - |
-
- - Max = 2.27e+04ε (Mean = 725ε) - - |
-
Table 88. Error rates for sqrt1pm1
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - sqrt1pm1 - - |
-
- - Max = 1.3ε (Mean = 0.404ε) - - |
-
- - Max = 1.33ε (Mean = 0.404ε) - - |
-
- - Max = 1.54ε (Mean = 0.563ε) - - |
-
- - Max = 1.35ε (Mean = 0.497ε) - - |
-
Table 89. Error rates for tgamma
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - factorials - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 2.67ε (Mean = 0.617ε) |
-
-
- Max = 172ε (Mean = 41ε) |
-
-
- Max = 1.85ε (Mean = 0.566ε) |
-
|
- - near 0 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 2ε (Mean = 0.608ε) |
-
-
- Max = 2ε (Mean = 0.647ε) |
-
-
- Max = 1.5ε (Mean = 0.635ε) |
-
|
- - near 1 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 2.51ε (Mean = 1.02ε) |
-
-
- Max = 3.01ε (Mean = 1.06ε) |
-
-
- Max = 1.1ε (Mean = 0.59ε) |
-
|
- - near 2 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 4.1ε (Mean = 1.55ε) |
-
-
- Max = 5.01ε (Mean = 1.89ε) |
-
-
- Max = 2ε (Mean = 0.733ε) |
-
|
- - near -10 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 1.75ε (Mean = 0.895ε) |
-
-
- Max = 1.75ε (Mean = 0.819ε) |
-
-
- Max = 1.86ε (Mean = 0.881ε) |
-
|
- - near -55 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 2.69ε (Mean = 1.09ε) |
-
-
- Max = 98.5ε (Mean = 53.4ε) |
-
-
- Max = 2.7ε (Mean = 1.35ε) |
-
Table 90. Error rates for tgamma1pm1
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - tgamma1pm1(dz) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 1.12ε (Mean = 0.49ε) - - |
-
- - Max = 6.61ε (Mean = 0.84ε) - - |
-
- - Max = 3.31ε (Mean = 0.517ε) - - |
-
Table 91. Error rates for tgamma_delta_ratio
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - tgamma + small delta ratios - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 5.83ε (Mean = 1.3ε) - - |
-
- - Max = 15.4ε (Mean = 2.09ε) - - |
-
- - Max = 7.56ε (Mean = 1.31ε) - - |
-
|
- - tgamma + small delta ratios (negative delta) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 7.94ε (Mean = 1.4ε) - - |
-
- - Max = 18.3ε (Mean = 2.03ε) - - |
-
- - Max = 7.43ε (Mean = 1.42ε) - - |
-
|
- - tgamma + small integer ratios - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 1.96ε (Mean = 0.677ε) - - |
-
- - Max = 1.96ε (Mean = 0.677ε) - - |
-
- - Max = 2.74ε (Mean = 0.736ε) - - |
-
|
- - tgamma + small integer ratios (negative delta) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 1.62ε (Mean = 0.451ε) - - |
-
- - Max = 1.62ε (Mean = 0.451ε) - - |
-
- - Max = 2.15ε (Mean = 0.685ε) - - |
-
|
- - integer tgamma ratios - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.997ε (Mean = 0.4ε) - - |
-
- - Max = 0.997ε (Mean = 0.4ε) - - |
-
- - Max = 0.968ε (Mean = 0.386ε) - - |
-
|
- - integer tgamma ratios (negative delta) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.853ε (Mean = 0.176ε) - - |
-
- - Max = 0.853ε (Mean = 0.176ε) - - |
-
- - Max = 0.974ε (Mean = 0.175ε) - - |
-
Table 92. Error rates for tgamma (incomplete)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - tgamma(a, z) medium values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 8.47ε (Mean = 1.9ε) - - |
-
- - Max = 412ε (Mean = 95.5ε) - - |
-
- - Max = 8.14ε (Mean = 1.76ε) - - |
-
|
- - tgamma(a, z) small values - - |
-
-
- Max = 0.753ε (Mean = 0.0474ε) |
-
- - Max = 2.31ε (Mean = 0.775ε) - - |
-
- - Max = 2.13ε (Mean = 0.717ε) - - |
-
- - Max = 2.53ε (Mean = 0.66ε) - - |
-
|
- - tgamma(a, z) integer and half integer values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 5.52ε (Mean = 1.48ε) - - |
-
- - Max = 79.6ε (Mean = 20.9ε) - - |
-
- - Max = 5.16ε (Mean = 1.33ε) - - |
-
Table 93. Error rates for tgamma_lower
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - tgamma(a, z) medium values - - |
-
-
- Max = 0.833ε (Mean = 0.0315ε) |
-
- - Max = 6.79ε (Mean = 1.46ε) - - |
-
- - Max = 363ε (Mean = 63.8ε) - - |
-
- - Max = 5.62ε (Mean = 1.49ε) - - |
-
|
- - tgamma(a, z) small values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.97ε (Mean = 0.555ε) - - |
-
- - Max = 1.97ε (Mean = 0.558ε) - - |
-
- - Max = 1.57ε (Mean = 0.525ε) - - |
-
|
- - tgamma(a, z) integer and half integer values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 4.83ε (Mean = 1.15ε) - - |
-
- - Max = 84.7ε (Mean = 17.5ε) - - |
-
- - Max = 2.69ε (Mean = 0.849ε) - - |
-
Table 94. Error rates for tgamma_ratio
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - tgamma ratios - - |
-
- - Max = 0.694ε (Mean = 0.0347ε) - - |
-
- - Max = 2.99ε (Mean = 1.15ε) - - |
-
- - Max = 174ε (Mean = 61.2ε) - - |
-
- - Max = 3.28ε (Mean = 1.12ε) - - |
-
Table 95. Error rates for trigamma
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Mathematica Data - - |
-
-
- Max = 0.998ε (Mean = 0.105ε) |
-
- - Max = 1.28ε (Mean = 0.449ε) - - |
-
- - Max = 1.28ε (Mean = 0.449ε) - - |
-
- - Max = 1ε (Mean = 0.382ε) - - |
-
Table 96. Error rates for zeta
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Zeta: Random values greater than 1 - - |
-
-
- Max = 0.846ε (Mean = 0.0833ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.846ε (Mean = 0.0833ε) - - |
-
- - Max = 0.836ε (Mean = 0.093ε) - - |
-
|
- - Zeta: Random values less than 1 - - |
-
-
- Max = 7.03ε (Mean = 2.93ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 70.1ε (Mean = 17.1ε) - - |
-
- - Max = 6.84ε (Mean = 3.12ε) - - |
-
|
- - Zeta: Values close to and greater than 1 - - |
-
-
- Max = 0.995ε (Mean = 0.5ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.995ε (Mean = 0.5ε) - - |
-
- - Max = 0.994ε (Mean = 0.421ε) - - |
-
|
- - Zeta: Values close to and less than 1 - - |
-
-
- Max = 0.998ε (Mean = 0.508ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.998ε (Mean = 0.508ε) - - |
-
- - Max = 0.991ε (Mean = 0.375ε) - - |
-
|
- - Zeta: Integer arguments - - |
-
-
- Max = 9ε (Mean = 3.06ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 28ε (Mean = 5.62ε) - - |
-
- - Max = 9ε (Mean = 3ε) - - |
-
- CAUTION:
- Found non-finite result, when a finite value was expected at entry 16
- Found: -nan(ind) Expected 0 Error: 1.79769e+308
10, 1e-100, 0
CAUTION:
- Gross error found at entry 16.
Found: -nan(ind) Expected 0 Error: 1.79769e+308
- 10, 1e-100, 0
-
- domain
- error
3.75573, -3, 0.264719, 0.0186823
domain error
3.75573,
- -3, 0.670017, 0.0085227
domain error
3.75573, -3, 0.915014, 0.00136786
- domain error
3.75573, -3, 0.93539, 0.000921218
domain error
- 3.75573, -2, -0.804919, -0.035427
domain error
3.75573, -2, -0.623236,
- -0.0476446
domain error
3.75573, -2, 0.629447, 0.0475072
- domain error
3.75573, -2, 0.929777, 0.0157498
domain error
- 3.75573, -2, 0.985763, 0.0034837
domain error
3.75573, -1, 0.093763,
- -0.118979
domain error
4.28576, -4, 0.0944412, 0.00255792
- domain error
4.28576, -4, 0.670017, 0.000790849
domain error
- 4.28576, -3, -0.746026, -0.00458957
domain error
4.28576, -2, -0.623236,
- 0.0219016
domain error
4.28576, -2, 0.629447, 0.0223081
domain
- error
4.28576, -2, 0.93539, 0.0133504
domain error
4.28576,
- -1, 0.915014, 0.132001
domain error
4.28576, -1, 0.985763, 0.0787743
- domain error
4.43859, -4, 0.093763, 0.00255858
domain error
- 4.43859, -4, 0.811584, 0.000303404
domain error
4.43859, -4, 0.826752,
- 0.000260835
domain error
4.43859, -4, 0.929777, 4.78235e-05
- domain error
4.43859, -3, -0.804919, -0.00350364
domain error
- 4.43859, -3, -0.729046, -0.00487043
domain error
4.43859, -3, -0.623236,
- -0.00620995
domain error
4.43859, -3, 0.93539, 0.000861698
- domain error
4.43859, -2, -0.557932, 0.0169167
domain error
- 4.43859, -2, -0.443004, 0.0062586
domain error
4.43859, -2, 0.915014,
- 0.016481
domain error
4.43859, -1, 0.629447, -0.0138523
domain
- error
5.39088, -5, 0.0944412, 0.000254649
domain error
5.39088,
- -5, 0.264719, 0.000217164
domain error
5.39088, -5, 0.670017, 5.87083e-05
- domain error
5.39088, -5, 0.915014, 2.78273e-06
domain error
- 5.39088, -3, 0.929777, 0.000880849
domain error
5.39088, -2, 0.629447,
- 0.00448021
domain error
5.39088, -2, 0.826752, 0.01718
domain
- error
5.39088, -2, 0.937736, 0.011583
domain error
5.39088,
- -1, -0.804919, 0.0276144
domain error
5.39088, -1, -0.746026, -0.0119425
- domain error
5.39088, -1, -0.443004, -0.0525987
domain error
- 5.39088, -1, 0.811584, 0.032475
domain error
5.39088, -1, 0.985763,
- 0.0759289
domain error
5.97861, -5, -0.729046, 3.91223e-05
- domain error
5.97861, -5, -0.383666, 0.000174899
domain error
- 5.97861, -5, 0.93539, 1.43993e-06
domain error
5.97861, -4, -0.623236,
- -0.000607048
domain error
5.97861, -4, 0.264719, 0.00059614
- domain error
5.97861, -3, 0.629447, 0.00313497
domain error
- 5.97861, -3, 0.670017, 0.00323895
domain error
5.97861, -2, 0.915014,
- 0.0140705
domain error
5.97861, -2, 0.992923, 0.00171356
- domain error
5.97861, -1, -0.746026, -0.0119425
domain error
- 5.97861, -1, 0.937736, 0.106972
domain error
7.01297, -6, -0.443004,
- -4.99177e-06
domain error
7.01297, -6, 0.629447, 3.00689e-06
- domain error
7.01297, -6, 0.811584, 7.00407e-07
domain error
- 7.01297, -6, 0.985763, 4.83431e-10
domain error
7.01297, -3, 0.670017,
- 0.000233323
domain error
7.01297, -2, -0.804919, -0.0027739
- domain error
7.01297, -1, -0.383666, 0.0397866
domain error
- 7.01297, -1, 0.929777, 0.0544549
domain error
7.54701, -7, 0.929777,
- 1.42008e-09
domain error
7.54701, -6, 0.992923, 6.04622e-11
- domain error
7.54701, -5, -0.804919, 1.18502e-05
domain error
- 7.54701, -5, -0.623236, 2.57049e-05
domain error
7.54701, -5, -0.557932,
- 2.60266e-05
domain error
7.54701, -5, 0.826752, 9.64276e-06
- domain error
7.54701, -4, -0.746026, -0.0001618
domain error
- 7.54701, -3, 0.0944412, 0.000622493
domain error
7.54701, -3, 0.985763,
- 9.14782e-05
domain error
7.54701, -1, 0.811584, -0.0376184
- domain error
11.8439, -10, -0.557932, -2.32652e-11
domain error
- 11.8439, -10, 0.811584, 1.01194e-12
domain error
11.8439, -8, -0.746026,
- -1.34891e-09
domain error
11.8439, -8, -0.729046, -1.5428e-09
- domain error
11.8439, -8, 0.985763, 5.90035e-14
domain error
- 11.8439, -4, 0.629447, -1.44723e-05
domain error
11.8439, -4, 0.929777,
- 1.98812e-05
domain error
11.8439, -3, 0.670017, -4.58296e-05
- domain error
11.8439, -2, 0.826752, -0.00244759
domain error
- 11.8439, -2, 0.992923, 0.00151458
domain error
11.8439, -1, -0.383666,
- 0.00419108
domain error
11.85, -11, 0.093763, 1.16526e-11
- domain error
11.85, -11, 0.929777, 2.05797e-16
domain error
- 11.85, -11, 0.93539, 1.32249e-16
domain error
*** FURTHER CONTENT
- HAS BEEN TRUNCATED FOR BREVITY ***
-
- order
- parameters less than 0 not supported in TR1
3.75573, -3, 0.264719, 0.0186823
- order parameters less than 0 not supported in TR1
3.75573, -3, 0.670017,
- 0.0085227
order parameters less than 0 not supported in TR1
3.75573,
- -3, 0.915014, 0.00136786
order parameters less than 0 not supported in
- TR1
3.75573, -3, 0.93539, 0.000921218
order parameters less than
- 0 not supported in TR1
3.75573, -2, -0.804919, -0.035427
order
- parameters less than 0 not supported in TR1
3.75573, -2, -0.623236, -0.0476446
- order parameters less than 0 not supported in TR1
3.75573, -2, 0.629447,
- 0.0475072
order parameters less than 0 not supported in TR1
3.75573,
- -2, 0.929777, 0.0157498
order parameters less than 0 not supported in
- TR1
3.75573, -2, 0.985763, 0.0034837
order parameters less than
- 0 not supported in TR1
3.75573, -1, 0.093763, -0.118979
order parameters
- less than 0 not supported in TR1
4.28576, -4, 0.0944412, 0.00255792
- order parameters less than 0 not supported in TR1
4.28576, -4, 0.670017,
- 0.000790849
order parameters less than 0 not supported in TR1
4.28576,
- -3, -0.746026, -0.00458957
order parameters less than 0 not supported
- in TR1
4.28576, -2, -0.623236, 0.0219016
order parameters less
- than 0 not supported in TR1
4.28576, -2, 0.629447, 0.0223081
order
- parameters less than 0 not supported in TR1
4.28576, -2, 0.93539, 0.0133504
- order parameters less than 0 not supported in TR1
4.28576, -1, 0.915014,
- 0.132001
order parameters less than 0 not supported in TR1
4.28576,
- -1, 0.985763, 0.0787743
order parameters less than 0 not supported in
- TR1
4.43859, -4, 0.093763, 0.00255858
order parameters less than
- 0 not supported in TR1
4.43859, -4, 0.811584, 0.000303404
order
- parameters less than 0 not supported in TR1
4.43859, -4, 0.826752, 0.000260835
- order parameters less than 0 not supported in TR1
4.43859, -4, 0.929777,
- 4.78235e-05
order parameters less than 0 not supported in TR1
4.43859,
- -3, -0.804919, -0.00350364
order parameters less than 0 not supported
- in TR1
4.43859, -3, -0.729046, -0.00487043
order parameters less
- than 0 not supported in TR1
4.43859, -3, -0.623236, -0.00620995
- order parameters less than 0 not supported in TR1
4.43859, -3, 0.93539,
- 0.000861698
order parameters less than 0 not supported in TR1
4.43859,
- -2, -0.557932, 0.0169167
order parameters less than 0 not supported in
- TR1
4.43859, -2, -0.443004, 0.0062586
order parameters less than
- 0 not supported in TR1
4.43859, -2, 0.915014, 0.016481
order parameters
- less than 0 not supported in TR1
4.43859, -1, 0.629447, -0.0138523
- order parameters less than 0 not supported in TR1
5.39088, -5, 0.0944412,
- 0.000254649
order parameters less than 0 not supported in TR1
5.39088,
- -5, 0.264719, 0.000217164
order parameters less than 0 not supported
- in TR1
5.39088, -5, 0.670017, 5.87083e-05
order parameters less
- than 0 not supported in TR1
5.39088, -5, 0.915014, 2.78273e-06
- order parameters less than 0 not supported in TR1
5.39088, -3, 0.929777,
- 0.000880849
order parameters less than 0 not supported in TR1
5.39088,
- -2, 0.629447, 0.00448021
order parameters less than 0 not supported in
- TR1
5.39088, -2, 0.826752, 0.01718
order parameters less than 0
- not supported in TR1
5.39088, -2, 0.937736, 0.011583
order parameters
- less than 0 not supported in TR1
5.39088, -1, -0.804919, 0.0276144
- order parameters less than 0 not supported in TR1
5.39088, -1, -0.746026,
- -0.0119425
order parameters less than 0 not supported in TR1
5.39088,
- -1, -0.443004, -0.0525987
order parameters less than 0 not supported
- in TR1
5.39088, -1, 0.811584, 0.032475
order parameters less than
- 0 not supported in TR1
5.39088, -1, 0.985763, 0.0759289
order parameters
- less than 0 not supported in TR1
5.97861, -5, -0.729046, 3.91223e-05
- order parameters less than 0 not supported in TR1
5.97861, -5, -0.383666,
- 0.000174899
order parameters less than 0 not supported in TR1
5.97861,
- -5, 0.93539, 1.43993e-06
order parameters less than 0 not supported in
- TR1
5.97861, -4, -0.623236, -0.000607048
order parameters less
- than 0 not supported in TR1
5.97861, -4, 0.264719, 0.00059614
order
- parameters less than 0 not supported in TR1
5.97861, -3, 0.629447, 0.00313497
- *** FURTHER CONTENT HAS BEEN TRUNCATED FOR BREVITY ***
-
- CAUTION:
- Gross error found at entry 0.
Found: 0 Expected 1.86459e-155 Error: 8.37988e+152
- -1, 3.72917e-155, 1.86459e-155
CAUTION: Gross error found at entry 1.
- Found: 0 Expected 1.86459e-155 Error: 8.37988e+152
1, 3.72917e-155, 1.86459e-155
- CAUTION: Gross error found at entry 3.
Found: 0 Expected 8.02269e-175
- Error: 3.60559e+133
1.125, 3.72917e-155, 8.02269e-175
-
- Unsupported
- domain
-5, -1, -0.000271463
Unsupported domain
10, -5, 0.00458004
- Unsupported domain
-100, -200, 4.35275e+74
-
- Unsupported
- domain
1, -2, -1.59064
Unsupported domain
1, -8, -399.873
- Unsupported domain
1, -10, -2670.99
-
- Unsupported
- domain
0, -2, 2.27959
Unsupported domain
0, -7, 168.594
- Unsupported domain
0, -1, 1.26607
-
- Unsupported
- domain
-5, -1, -0.000271463
Unsupported domain
10, -5, 0.00458004
- Unsupported domain
-100, -200, 4.35275e+74
-
- Unsupported
- domain
1, -2, -1.59064
Unsupported domain
1, -8, -399.873
- Unsupported domain
1, -10, -2670.99
-
- Unsupported
- domain
0, -2, 2.27959
Unsupported domain
0, -7, 168.594
- Unsupported domain
0, -1, 1.26607
-
- CAUTION:
- Gross error found at entry 6.
Found: 0 Expected -0.000747424 Error: 3.3591e+304
- 5.5, 1e+06, -0.000747424
CAUTION: Gross error found at entry 7.
- Found: 0 Expected -0.0007766 Error: 3.49022e+304
5.125, 1e+06, -0.0007766
- CAUTION: Gross error found at entry 8.
Found: 0 Expected -0.000466323
- Error: 2.09576e+304
5.875, 1e+06, -0.000466323
-
- Unsupported
- domain
5, -10, 0.234062
CAUTION: Gross error found at entry 6.
- Found: 0 Expected 0.000725964 Error: 3.26265e+304
-5, 1e+06, 0.000725964
- CAUTION: Gross error found at entry 7.
Found: 0 Expected -0.000725964
- Error: 3.26265e+304
5, 1e+06, -0.000725964
Unsupported domain
- -5, -1, 0.000249758
Unsupported domain
10, -10, 0.207486
- Unsupported domain
10, -5, 0.0014678
CAUTION: Gross error found
- at entry 12.
Found: 0 Expected -0.000331079 Error: 1.48795e+304
- -10, 1e+06, -0.000331079
CAUTION: Gross error found at entry 13.
- Found: 0 Expected -0.000331079 Error: 1.48795e+304
10, 1e+06, -0.000331079
-
- Unsupported
- domain
1, -2, -0.576725
Unsupported domain
1, -8, -0.234636
- Unsupported domain
1, -10, -0.0434727
-
- Unsupported
- domain
0, -2, 0.223891
Unsupported domain
0, -8, 0.171651
- Unsupported domain
0, -10, -0.245936
-
- Unsupported
- domain
5, -10, 0.234062
CAUTION: Gross error found at entry 6.
- Found: 0 Expected 0.000725964 Error: 3.26265e+304
-5, 1e+06, 0.000725964
- CAUTION: Gross error found at entry 7.
Found: 0 Expected -0.000725964
- Error: 3.26265e+304
5, 1e+06, -0.000725964
Unsupported domain
- -5, -1, 0.000249758
Unsupported domain
10, -10, 0.207486
- Unsupported domain
10, -5, 0.0014678
CAUTION: Gross error found
- at entry 12.
Found: 0 Expected -0.000331079 Error: 1.48795e+304
- -10, 1e+06, -0.000331079
CAUTION: Gross error found at entry 13.
- Found: 0 Expected -0.000331079 Error: 1.48795e+304
10, 1e+06, -0.000331079
-
- Unsupported
- domain
1, -2, -0.576725
Unsupported domain
1, -8, -0.234636
- Unsupported domain
1, -10, -0.0434727
-
- Unsupported
- domain
0, -2, 0.223891
Unsupported domain
0, -8, 0.171651
- Unsupported domain
0, -10, -0.245936
-
- CAUTION:
- Gross error found at entry 7.
Found: 3.8247e-302 Expected 0 Error: 1.71891e+06
- 1.38853e-05, 0.0497627, 0.632396, 0, 0
CAUTION: Gross error found at
- entry 71.
Found: 1.38362e-204 Expected 0 Error: 6.21832e+103
3.77931e-05,
- 0.0150073, 0.835025, 0, 0
CAUTION: Gross error found at entry 90.
- Found: 1.09275e-303 Expected 0 Error: 49109.6
4.29383e-05, 0.0428761,
- 0.814742, 0, 0
CAUTION: Gross error found at entry 102.
Found:
- 3.8625e-304 Expected 0 Error: 17358
4.80089e-05, 0.0296236, 0.913384,
- 0, 0
CAUTION: Gross error found at entry 115.
Found: 1.51774e-303
- Expected 0 Error: 68209.8
0.000130387, 0.0404969, 0.814742, 0, 0
- CAUTION: Gross error found at entry 123.
Found: 1.28036e-303 Expected
- 0 Error: 57541.4
0.000149328, 0.0201182, 0.905801, 5.70765e-267, 0
- CAUTION: Gross error found at entry 133.
Found: 1.96732e-302 Expected
- 0 Error: 884160
0.000173563, 0.0301908, 0.913384, 4.21662e-213, 0
- CAUTION: Gross error found at entry 159.
Found: 1.48697e-191 Expected
- 0 Error: 6.68279e+116
0.000260723, 0.0252933, 0.632396, 0, 0
CAUTION:
- Gross error found at entry 256.
Found: 9.24166e-245 Expected 0 Error:
- 4.15342e+63
0.00246975, 0.016063, 0.913384, 1, 0
-
- CAUTION:
- Gross error found at entry 1.
Found: 1.90197e-247 Expected 0 Error: 8.54789e+60
- 1.12733e-05, 0.022662, 0.135563, 0, 0
CAUTION: Gross error found at entry
- 30.
Found: 1.36217e-301 Expected 0 Error: 6.12191e+06
2.10769e-05,
- 0.0448972, 0.221112, 0, 0
CAUTION: Gross error found at entry 152.
- Found: 2.92621e-285 Expected 0 Error: 1.31511e+23
0.000240381, 0.017982,
- 0.221112, 0, 0
CAUTION: Gross error found at entry 184.
Found:
- 5.63355e-203 Expected 0 Error: 2.53185e+105
0.000348822, 0.0275467, 0.135563,
- 0, 1.88165e-166
CAUTION: Gross error found at entry 205.
Found:
- 5.52731e-303 Expected 0 Error: 248409
0.000441212, 0.0313573, 0.127074,
- 0, 9.07221e-121
-
- CAUTION:
- Gross error found at entry 10.
Found: 9.76918e-10 Expected 1.61248e-15
- Error: 605846
290.682, 72.6705, 20005.4, 0.997663, 1, 1.61248e-15
- CAUTION: Gross error found at entry 11.
Found: 9.94184e-10 Expected 3.0108e-42
- Error: 3.30205e+32
290.682, 145.341, 53489.1, 0.998663, 1, 3.0108e-42
- CAUTION: Gross error found at entry 16.
Found: 8.45406e-10 Expected 4.46652e-22
- Error: 1.89276e+12
290.682, 1162.73, 2308.07, 0.656921, 1, 4.46652e-22
- CAUTION: Gross error found at entry 17.
Found: 9.41971e-10 Expected 1.7241e-50
- Error: 5.46356e+40
290.682, 1453.41, 8064.48, 0.832237, 1, 1.7241e-50
- CAUTION: Gross error found at entry 18.
Found: 9.30663e-10 Expected 2.09803e-305
- Error: 4.43589e+295
975.766, 731.824, 232.285, 0.919742, 1, 2.09803e-305
- CAUTION: Gross error found at entry 27.
Found: 9.76918e-10 Expected 9.3474e-18
- Error: 1.04512e+08
1879.05, 187.905, 20005.4, 0.992215, 1, 9.3474e-18
- CAUTION: Gross error found at entry 28.
Found: 9.94184e-10 Expected 1.8122e-90
- Error: 5.48607e+80
1879.05, 469.762, 53489.1, 0.994618, 1, 1.8122e-90
- CAUTION: Gross error found at entry 32.
Found: 9.27224e-10 Expected 3.18255e-15
- Error: 291345
1879.05, 3758.1, 1879.05, 0.480508, 1, 3.18255e-15
- CAUTION: Gross error found at entry 33.
Found: 8.45406e-10 Expected 1.10218e-77
- Error: 7.67029e+67
1879.05, 5637.15, 2308.07, 0.458181, 1, 1.10218e-77
- CAUTION: Gross error found at entry 34.
Found: 9.30663e-10 Expected 0
- Error: 4.18262e+298
2308.07, 1154.03, 232.285, 0.919371, 1, 0
CAUTION:
- Gross error found at entry 35.
Found: 8.93617e-10 Expected 0 Error: 4.01612e+298
- 2308.07, 1731.05, 290.682, 0.917262, 1, 0
CAUTION: Gross error found
- at entry 43.
Found: 9.94184e-10 Expected 3.57283e-70 Error: 2.78262e+60
- 8064.48, 806.448, 53489.1, 0.988678, 1, 3.57283e-70
CAUTION: Gross error
- found at entry 48.
Found: 8.45406e-10 Expected 8.78057e-74 Error: 9.62814e+63
- 8064.48, 16129, 2308.07, 0.421531, 1, 8.78057e-74
CAUTION: Gross error
- found at entry 49.
Found: 9.30663e-10 Expected 0 Error: 4.18262e+298
- 15674.4, 3918.59, 232.285, 0.933726, 1, 0
CAUTION: Gross error found
- at entry 50.
Found: 8.93617e-10 Expected 0 Error: 4.01612e+298
- 15674.4, 7837.19, 290.682, 0.917179, 1, 0
CAUTION: Gross error found
- at entry 51.
Found: 8.9318e-10 Expected 0 Error: 4.01416e+298
15674.4,
- 11755.8, 975.766, 0.915784, 1, 0
CAUTION: Gross error found at entry
- 63.
Found: 9.41971e-10 Expected 2.31296e-171 Error: 4.07258e+161
- 20005.4, 40010.8, 8064.48, 0.432094, 1, 2.31296e-171
CAUTION: Gross error
- found at entry 64.
Found: 9.30663e-10 Expected 0 Error: 4.18262e+298
- 53489.1, 5348.92, 232.285, 0.954635, 1, 0
CAUTION: Gross error found
- at entry 65.
Found: 8.93617e-10 Expected 0 Error: 4.01612e+298
- 53489.1, 13372.3, 290.682, 0.933478, 1, 0
CAUTION: Gross error found
- at entry 66.
Found: 8.9318e-10 Expected 0 Error: 4.01416e+298
53489.1,
- 26744.6, 975.766, 0.91717, 1, 0
-
- CAUTION:
- Gross error found at entry 0.
Found: 9.1136e-209 Expected 5.82279e-200
- Error: 6.38913e+08
232.285, 209.056, 232.285, 0.062486, 5.82279e-200,
- 1
CAUTION: Gross error found at entry 1.
Found: 4.08108e-115 Expected
- 2.37643e-112 Error: 581.304
232.285, 229.962, 290.682, 0.155342, 2.37643e-112,
- 1
CAUTION: Gross error found at entry 2.
Found: 1.07549e-93 Expected
- 9.53431e-89 Error: 88650
232.285, 232.052, 975.766, 0.378086, 9.53431e-89,
- 1
CAUTION: Gross error found at entry 3.
Found: 2.58402e-54 Expected
- 8.27353e-53 Error: 31.0181
232.285, 232.285, 1879.05, 0.625865, 8.27353e-53,
- 1
CAUTION: Gross error found at entry 4.
Found: 1.93718e-19 Expected
- 6.64275e-16 Error: 3428.08
232.285, 232.308, 2308.07, 0.770774, 6.64275e-16,
- 1
CAUTION: Gross error found at entry 21.
Found: 8.12962e-240 Expected
- 1.82294e-219 Error: 2.24234e+20
975.766, 974.79, 1879.05, 0.331337, 1.82294e-219,
- 1
CAUTION: Gross error found at entry 22.
Found: 3.47274e-69 Expected
- 1.42183e-67 Error: 39.9426
975.766, 975.766, 2308.07, 0.514323, 1.42183e-67,
- 1
CAUTION: Gross error found at entry 23.
Found: 5.86885e-50 Expected
- 1.27896e-47 Error: 216.923
975.766, 975.863, 8064.48, 0.753209, 1.27896e-47,
- 1
CAUTION: Gross error found at entry 39.
Found: 4.82785e-230 Expected
- 1.25446e-213 Error: 2.59838e+16
2308.07, 2308.07, 8064.48, 0.54983, 1.25446e-213,
- 1
CAUTION: Gross error found at entry 40.
Found: 1.22971e-87 Expected
- 1.82618e-85 Error: 147.505
2308.07, 2308.3, 15674.4, 0.733174, 1.82618e-85,
- 1
CAUTION: Gross error found at entry 56.
Found: 2.97337e-127 Expected
- 2.56068e-124 Error: 860.205
15674.4, 15675.9, 20005.4, 0.55883, 2.56068e-124,
- 1
-
- CAUTION:
- Gross error found at entry 296.
Found: 9.44166e-10 Expected 6.22975e-10
- Error: 0.515577
22.9367, 114.683, 19.5081, 0.480981, 1, 6.22975e-10
- CAUTION: Gross error found at entry 369.
Found: 2.52234e-10 Expected
- 1.40246e-10 Error: 0.79851
27.5277, 20.6457, 0.956697, 0.915111, 1, 1.40246e-10
- CAUTION: Gross error found at entry 429.
Found: 1.18105e-09 Expected
- 7.45745e-10 Error: 0.58372
28.8063, 21.6047, 60.3826, 0.946143, 1, 7.45745e-10
- CAUTION: Gross error found at entry 430.
Found: 2.44435e-09 Expected
- 1.60695e-09 Error: 0.521115
28.8063, 21.6047, 148.129, 0.965121, 1, 1.60695e-09
- CAUTION: Gross error found at entry 477.
Found: 7.57435e-10 Expected
- 7.14133e-11 Error: 9.60635
28.8063, 144.032, 42.3849, 0.504845, 1, 7.14133e-11
- CAUTION: Gross error found at entry 489.
Found: 4.8561e-10 Expected 5.62991e-11
- Error: 7.62553
31.9438, 23.9579, 44.2068, 0.93835, 1, 5.62991e-11
- CAUTION: Gross error found at entry 490.
Found: 8.35187e-10 Expected
- 1.87483e-10 Error: 3.45473
31.9438, 23.9579, 135.747, 0.961117, 1, 1.87483e-10
- CAUTION: Gross error found at entry 491.
Found: 1.00174e-09 Expected
- 2.38491e-10 Error: 3.20032
31.9438, 23.9579, 191.501, 0.968273, 1, 2.38491e-10
- CAUTION: Gross error found at entry 537.
Found: 7.29746e-10 Expected
- 1.31223e-12 Error: 555.111
31.9438, 159.719, 34.2373, 0.489796, 1, 1.31223e-12
- CAUTION: Gross error found at entry 538.
Found: 2.49663e-09 Expected
- 1.54239e-09 Error: 0.618681
31.9438, 159.719, 126.472, 0.581861, 1, 1.54239e-09
- CAUTION: Gross error found at entry 549.
Found: 4.16125e-10 Expected
- 4.8536e-13 Error: 856.353
38.0822, 28.5617, 34.773, 0.931853, 1, 4.8536e-13
- CAUTION: Gross error found at entry 550.
Found: 9.69907e-10 Expected
- 2.87054e-12 Error: 336.883
38.0822, 28.5617, 127.953, 0.956104, 1, 2.87054e-12
- CAUTION: Gross error found at entry 551.
Found: 5.90132e-10 Expected
- 4.08361e-12 Error: 143.512
38.0822, 28.5617, 183.147, 0.963764, 1, 4.08361e-12
- CAUTION: Gross error found at entry 597.
Found: 4.67033e-10 Expected
- 9.82939e-16 Error: 475139
38.0822, 190.411, 27.0954, 0.475419, 1, 9.82939e-16
- CAUTION: Gross error found at entry 598.
Found: 9.33207e-10 Expected
- 4.03465e-12 Error: 230.298
38.0822, 190.411, 100.733, 0.544491, 1, 4.03465e-12
- CAUTION: Gross error found at entry 599.
Found: 7.4092e-10 Expected 9.53942e-11
- Error: 6.76693
38.0822, 190.411, 169.826, 0.594614, 1, 9.53942e-11
- CAUTION: Gross error found at entry 609.
Found: 5.71813e-10 Expected
- 1.17207e-14 Error: 48785.7
42.7789, 32.0842, 28.3773, 0.927814, 1, 1.17207e-14
- CAUTION: Gross error found at entry 610.
Found: 5.16834e-10 Expected
- 9.62679e-14 Error: 5367.71
42.7789, 32.0842, 109.376, 0.950307, 1, 9.62679e-14
- CAUTION: Gross error found at entry 611.
Found: 6.08012e-10 Expected
- 1.7454e-13 Error: 3482.51
42.7789, 32.0842, 175.686, 0.960431, 1, 1.7454e-13
- CAUTION: Gross error found at entry 657.
Found: 5.59489e-10 Expected
- 2.86344e-18 Error: 1.95391e+08
42.7789, 213.895, 21.9724, 0.467166, 1,
- 2.86344e-18
CAUTION: Gross error found at entry 658.
Found: 5.14798e-10
- Expected 2.50972e-14 Error: 20511.2
42.7789, 213.895, 84.4175, 0.522676,
- 1, 2.50972e-14
CAUTION: Gross error found at entry 659.
Found:
- 8.49991e-10 Expected 2.38005e-12 Error: 356.131
42.7789, 213.895, 160.056,
- 0.576191, 1, 2.38005e-12
CAUTION: Gross error found at entry 671.
- Found: 3.03281e-10 Expected 2.22036e-15 Error: 136590
44.5963, 33.4472,
- 22.4929, 0.924976, 1, 2.22036e-15
CAUTION: Gross error found at entry
- 672.
Found: 8.40636e-10 Expected 2.22384e-14 Error: 37800.1
44.5963,
- 33.4472, 94.9517, 0.946545, 1, 2.22384e-14
CAUTION: Gross error found
- at entry 673.
Found: 8.15021e-10 Expected 4.75974e-14 Error: 17122.2
- 44.5963, 33.4472, 162.945, 0.95793, 1, 4.75974e-14
CAUTION: Gross error
- found at entry 716.
Found: 1.11988e-10 Expected 2.84965e-22 Error: 3.92989e+11
- 44.5963, 222.981, 0.956697, 0.445432, 1, 2.84965e-22
CAUTION: Gross error
- found at entry 717.
Found: 7.99524e-10 Expected 3.04552e-15 Error: 262523
- 44.5963, 222.981, 78.4454, 0.515267, 1, 3.04552e-15
CAUTION: Gross error
- found at entry 718.
Found: 8.0958e-10 Expected 5.89458e-13 Error: 1372.43
- 44.5963, 222.981, 158.441, 0.57107, 1, 5.89458e-13
*** FURTHER CONTENT
- HAS BEEN TRUNCATED FOR BREVITY ***
-
- CAUTION:
- Gross error found at entry 14.
Found: 4.64669e-35 Expected 7.14875e-33
- Error: 152.846
1.45431, 1.30887, 158.441, 0.0983847, 7.14875e-33, 1
- CAUTION: Gross error found at entry 15.
Found: 4.66674e-46 Expected 3.13332e-40
- Error: 671416
1.45431, 1.30887, 196.222, 0.09869, 3.13332e-40, 1
- CAUTION: Gross error found at entry 18.
Found: 5.84342e-28 Expected 3.61559e-27
- Error: 5.18745
1.45431, 1.43976, 159.586, 0.245596, 3.61559e-27, 1
- CAUTION: Gross error found at entry 19.
Found: 1.72833e-34 Expected 1.76943e-33
- Error: 9.2378
1.45431, 1.43976, 198.576, 0.246444, 1.76943e-33, 1
- CAUTION: Gross error found at entry 22.
Found: 1.76915e-19 Expected 3.69506e-18
- Error: 19.8861
1.45431, 1.45285, 159.621, 0.491116, 3.69506e-18, 1
- CAUTION: Gross error found at entry 23.
Found: 2.52007e-25 Expected 2.00482e-22
- Error: 794.544
1.45431, 1.45285, 199.292, 0.492849, 2.00482e-22, 1
- CAUTION: Gross error found at entry 73.
Found: 2.04477e-34 Expected 2.45287e-33
- Error: 10.9958
7.62448, 6.86203, 148.129, 0.0921776, 2.45287e-33, 1
- CAUTION: Gross error found at entry 74.
Found: 2.36587e-46 Expected 7.32638e-42
- Error: 30966
7.62448, 6.86203, 193.539, 0.093784, 7.32638e-42, 1
- CAUTION: Gross error found at entry 76.
Found: 3.29122e-26 Expected 7.418e-25
- Error: 21.5387
7.62448, 7.54824, 148.626, 0.228717, 7.418e-25, 1
- CAUTION: Gross error found at entry 77.
Found: 1.70126e-32 Expected 1.07666e-31
- Error: 5.32864
7.62448, 7.54824, 193.774, 0.23303, 1.07666e-31, 1
- CAUTION: Gross error found at entry 79.
Found: 1.3478e-15 Expected 4.21836e-15
- Error: 2.12982
7.62448, 7.61686, 151.548, 0.457773, 4.21836e-15, 1
- CAUTION: Gross error found at entry 80.
Found: 8.78487e-21 Expected 3.41238e-19
- Error: 37.8438
7.62448, 7.61686, 194.119, 0.465826, 3.41238e-19, 1
- CAUTION: Gross error found at entry 132.
Found: 3.85783e-23 Expected
- 1.54142e-22 Error: 2.99555
19.9593, 17.9634, 44.2068, 0.0698905, 1.54142e-22,
- 1
CAUTION: Gross error found at entry 133.
Found: 8.6122e-39 Expected
- 3.94361e-38 Error: 3.5791
19.9593, 17.9634, 135.747, 0.0829178, 3.94361e-38,
- 1
CAUTION: Gross error found at entry 134.
Found: 3.61781e-52 Expected
- 3.98669e-48 Error: 11018.6
19.9593, 17.9634, 191.501, 0.0864897, 3.98669e-48,
- 1
CAUTION: Gross error found at entry 135.
Found: 2.07122e-15 Expected
- 7.08614e-15 Error: 2.42124
19.9593, 19.7597, 55.6996, 0.176444, 7.08614e-15,
- 1
CAUTION: Gross error found at entry 136.
Found: 2.28223e-27 Expected
- 2.16759e-25 Error: 93.977
19.9593, 19.7597, 136.272, 0.20393, 2.16759e-25,
- 1
CAUTION: Gross error found at entry 137.
Found: 6.4251e-34 Expected
- 4.0064e-33 Error: 5.23554
19.9593, 19.7597, 191.898, 0.213398, 4.0064e-33,
- 1
CAUTION: Gross error found at entry 139.
Found: 2.1734e-14 Expected
- 4.65637e-14 Error: 1.14243
19.9593, 19.9394, 145.168, 0.410858, 4.65637e-14,
- 1
CAUTION: Gross error found at entry 140.
Found: 2.18388e-19 Expected
- 5.1677e-18 Error: 22.663
19.9593, 19.9394, 192.978, 0.426523, 5.1677e-18,
- 1
CAUTION: Gross error found at entry 192.
Found: 3.29537e-23 Expected
- 8.29996e-23 Error: 1.51867
22.4174, 20.1757, 34.773, 0.0661999, 8.29996e-23,
- 1
CAUTION: Gross error found at entry 193.
Found: 7.86091e-39 Expected
- 2.77686e-38 Error: 2.5325
22.4174, 20.1757, 127.953, 0.0809614, 2.77686e-38,
- 1
CAUTION: Gross error found at entry 194.
Found: 3.0161e-51 Expected
- 4.5396e-48 Error: 1504.12
22.4174, 20.1757, 183.147, 0.0848857, 4.5396e-48,
- 1
CAUTION: Gross error found at entry 195.
Found: 3.08022e-14 Expected
- 1.42713e-13 Error: 3.6332
22.4174, 22.1932, 37.6764, 0.162145, 1.42713e-13,
- 1
CAUTION: Gross error found at entry 196.
Found: 8.89935e-28 Expected
- 2.56187e-25 Error: 286.871
22.4174, 22.1932, 131.096, 0.199361, 2.56187e-25,
- 1
CAUTION: Gross error found at entry 197.
Found: 9.34392e-34 Expected
- 6.14831e-33 Error: 5.58001
22.4174, 22.1932, 186.799, 0.209601, 6.14831e-33,
- 1
CAUTION: Gross error found at entry 199.
Found: 2.79341e-13 Expected
- 4.79277e-13 Error: 0.71574
22.4174, 22.395, 131.148, 0.398015, 4.79277e-13,
- 1
CAUTION: Gross error found at entry 200.
Found: 3.13989e-19 Expected
- 7.01608e-18 Error: 21.345
22.4174, 22.395, 191.433, 0.419933, 7.01608e-18,
- 1
*** FURTHER CONTENT HAS BEEN TRUNCATED FOR BREVITY ***
-
- CAUTION:
- Gross error found at entry 12.
Found: 0 Expected 1.17655e-12 Error: 5.28771e+295
- 101.815, 5236.73, 6406.25, 1, 1.17655e-12
CAUTION: Gross error found
- at entry 13.
Found: 0 Expected 1.79374e-44 Error: 8.06149e+263
- 101.815, 9735.22, 12788.2, 1, 1.79374e-44
CAUTION: Gross error found
- at entry 35.
Found: 2.58682e-14 Expected 1.84404e-61 Error: 1.4028e+47
- 107.623, 122.456, 920.317, 1, 1.84404e-61
CAUTION: Gross error found
- at entry 36.
Found: 0 Expected 2.30757e-102 Error: 1.03707e+206
- 107.623, 156.292, 1319.58, 1, 2.30757e-102
CAUTION: Gross error found
- at entry 52.
Found: 0 Expected 6.40952e-24 Error: 2.88059e+284
- 114.68, 417.884, 1065.13, 1, 6.40952e-24
CAUTION: Gross error found at
- entry 53.
Found: 0 Expected 1.02366e-98 Error: 4.60058e+209
114.68,
- 669.781, 2353.38, 1, 1.02366e-98
CAUTION: Gross error found at entry
- 69.
Found: 0 Expected 6.55726e-39 Error: 2.94699e+269
118.032,
- 3168.71, 4930.11, 1, 6.55726e-39
CAUTION: Gross error found at entry
- 85.
Found: 0 Expected 7.30688e-22 Error: 3.28388e+286
163.004,
- 9735.22, 11877.9, 1, 7.30688e-22
CAUTION: Gross error found at entry
- 86.
Found: 0 Expected 1.17171e-111 Error: 5.26596e+196
163.004,
- 25344.1, 33159.2, 1, 1.17171e-111
CAUTION: Gross error found at entry
- 108.
Found: 1.12355e-13 Expected 2.67349e-61 Error: 4.20255e+47
- 256.292, 122.456, 1136.25, 1, 2.67349e-61
CAUTION: Gross error found
- at entry 109.
Found: 1.16462e-13 Expected 8.30595e-116 Error: 1.40216e+102
- 256.292, 156.292, 1650.34, 1, 8.30595e-116
CAUTION: Gross error found
- at entry 124.
Found: 1.05804e-13 Expected 1.01672e-15 Error: 103.064
- 517.884, 417.884, 1403.65, 1, 1.01672e-15
CAUTION: Gross error found
- at entry 125.
Found: 2.00728e-13 Expected 3.50192e-56 Error: 5.73194e+42
- 517.884, 669.781, 2375.33, 1, 3.50192e-56
CAUTION: Gross error found
- at entry 141.
Found: 0 Expected 1.36924e-20 Error: 6.15368e+287
- 769.781, 3168.71, 5120.04, 1, 1.36924e-20
CAUTION: Gross error found
- at entry 142.
Found: 0 Expected 3.19215e-72 Error: 1.43463e+236
- 769.781, 5236.73, 9009.76, 1, 3.19215e-72
CAUTION: Gross error found
- at entry 157.
Found: 0 Expected 7.26231e-08 Error: 3.26385e+300
- 1223.88, 9735.22, 12055, 1, 7.26231e-08
CAUTION: Gross error found at
- entry 158.
Found: 0 Expected 4.5906e-56 Error: 2.06312e+252
1223.88,
- 25344.1, 31881.6, 1, 4.5906e-56
CAUTION: Gross error found at entry 194.
- Found: 0 Expected 5.34714e-12 Error: 2.40313e+296
9835.22, 122.456, 10953.4,
- 1, 5.34714e-12
CAUTION: Gross error found at entry 195.
Found:
- 0 Expected 4.84412e-40 Error: 2.17706e+268
9835.22, 156.292, 11989.8,
- 1, 4.84412e-40
CAUTION: Gross error found at entry 196.
Found:
- 0 Expected 5.50199e-83 Error: 2.47272e+225
9835.22, 417.884, 13329, 1,
- 5.50199e-83
CAUTION: Gross error found at entry 197.
Found: 0 Expected
- 1.28192e-205 Error: 5.76124e+102
9835.22, 669.781, 15757.5, 1, 1.28192e-205
- CAUTION: Gross error found at entry 211.
Found: 0 Expected 3.83272e-28
- Error: 1.72251e+280
25444.1, 1123.88, 29224.8, 1, 3.83272e-28
CAUTION:
- Gross error found at entry 212.
Found: 0 Expected 1.69815e-101 Error:
- 7.63188e+206
25444.1, 3168.71, 34335.4, 1, 1.69815e-101
CAUTION:
- Gross error found at entry 213.
Found: 0 Expected 1.09245e-217 Error:
- 4.90974e+90
25444.1, 5236.73, 39885.1, 1, 1.09245e-217
-
- CAUTION:
- Gross error found at entry 36.
Found: 1.11022e-14 Expected 1.30043e-26
- Error: 8.53738e+11
1.95191, 109.376, 445.313, 1, 1.30043e-26
CAUTION:
- Gross error found at entry 37.
Found: 0 Expected 1.45478e-39 Error: 6.53812e+268
- 1.95191, 109.444, 556.98, 1, 1.45478e-39
CAUTION: Gross error found at
- entry 54.
Found: 2.91989e-14 Expected 4.25949e-21 Error: 6.85501e+06
- 1.95191, 159.586, 484.613, 1, 4.25949e-21
CAUTION: Gross error found
- at entry 55.
Found: 0 Expected 1.33424e-37 Error: 5.99639e+270
- 1.95191, 159.621, 646.292, 1, 1.33424e-37
CAUTION: Gross error found
- at entry 56.
Found: 1.25455e-14 Expected 1.95903e-56 Error: 6.40393e+41
- 1.95191, 160.056, 810.04, 1, 1.95903e-56
CAUTION: Gross error found at
- entry 73.
Found: 0 Expected 4.34735e-25 Error: 1.9538e+283
1.95191,
- 193.539, 586.473, 1, 4.34735e-25
CAUTION: Gross error found at entry
- 74.
Found: 0 Expected 4.66119e-45 Error: 2.09485e+263
1.95191,
- 193.774, 782.902, 1, 4.66119e-45
CAUTION: Gross error found at entry
- 75.
Found: 4.77396e-15 Expected 8.92248e-68 Error: 5.35048e+52
- 1.95191, 194.119, 980.352, 1, 8.92248e-68
CAUTION: Gross error found
- at entry 111.
Found: 0 Expected 3.1064e-15 Error: 1.39609e+293
- 20.4105, 84.4175, 314.484, 1, 3.1064e-15
CAUTION: Gross error found at
- entry 112.
Found: 0 Expected 7.50903e-29 Error: 3.37473e+279
20.4105,
- 94.9517, 461.449, 1, 7.50903e-29
CAUTION: Gross error found at entry
- 113.
Found: 3.77476e-15 Expected 1.74225e-43 Error: 2.1666e+28
- 20.4105, 97.0751, 587.428, 1, 1.74225e-43
CAUTION: Gross error found
- at entry 130.
Found: 8.88178e-16 Expected 4.13277e-23 Error: 2.14911e+07
- 20.4105, 151.548, 515.876, 1, 4.13277e-23
CAUTION: Gross error found
- at entry 131.
Found: 1.75415e-14 Expected 1.92146e-41 Error: 9.12928e+26
- 20.4105, 152.75, 692.642, 1, 1.92146e-41
CAUTION: Gross error found at
- entry 132.
Found: 1.38778e-14 Expected 7.09864e-64 Error: 1.95499e+49
- 20.4105, 158.441, 894.26, 1, 7.09864e-64
CAUTION: Gross error found at
- entry 149.
Found: 2.22045e-16 Expected 8.74501e-28 Error: 2.5391e+11
- 20.4105, 191.433, 635.532, 1, 8.74501e-28
CAUTION: Gross error found
- at entry 150.
Found: 0 Expected 6.94227e-50 Error: 3.12002e+258
- 20.4105, 191.501, 847.648, 1, 6.94227e-50
CAUTION: Gross error found
- at entry 151.
Found: 3.40838e-14 Expected 5.3889e-75 Error: 6.32482e+60
- 20.4105, 191.898, 1061.55, 1, 5.3889e-75
CAUTION: Gross error found at
- entry 206.
Found: 5.88418e-15 Expected 2.69136e-22 Error: 2.18632e+07
- 22.8625, 141.209, 492.215, 1, 2.69136e-22
CAUTION: Gross error found
- at entry 207.
Found: 3.60822e-14 Expected 1.64941e-40 Error: 2.18759e+26
- 22.8625, 145.168, 672.121, 1, 1.64941e-40
CAUTION: Gross error found
- at entry 208.
Found: 3.73035e-14 Expected 1.6094e-61 Error: 2.31784e+47
- 22.8625, 148.129, 854.96, 1, 1.6094e-61
CAUTION: Gross error found at
- entry 225.
Found: 0 Expected 3.73672e-27 Error: 1.67937e+281
22.8625,
- 182.675, 616.613, 1, 3.73672e-27
CAUTION: Gross error found at entry
- 226.
Found: 0 Expected 8.85688e-49 Error: 3.98049e+259
22.8625,
- 183.147, 824.038, 1, 8.85688e-49
CAUTION: Gross error found at entry
- 227.
Found: 0 Expected 2.29176e-74 Error: 1.02997e+234
22.8625,
- 186.799, 1048.31, 1, 2.29176e-74
CAUTION: Gross error found at entry
- 282.
Found: 0 Expected 2.18831e-21 Error: 9.8348e+286
23.3804,
- 132.721, 468.305, 1, 2.18831e-21
CAUTION: Gross error found at entry
- 283.
Found: 0 Expected 1.3071e-38 Error: 5.87439e+269
23.3804,
- 135.747, 636.51, 1, 1.3071e-38
CAUTION: Gross error found at entry 284.
- Found: 1.84297e-14 Expected 8.27843e-58 Error: 2.22623e+43
23.3804, 136.272,
- 798.262, 1, 8.27843e-58
CAUTION: Gross error found at entry 301.
- Found: 0 Expected 9.85282e-26 Error: 4.42808e+282
23.3804, 169.826, 579.619,
- 1, 9.85282e-26
CAUTION: Gross error found at entry 302.
Found:
- 0 Expected 4.8094e-47 Error: 2.16145e+261
23.3804, 174.486, 791.465,
- 1, 4.8094e-47
CAUTION: Gross error found at entry 303.
Found: 1.11022e-16
- Expected 6.70476e-71 Error: 1.65587e+54
23.3804, 175.686, 995.333, 1,
- 6.70476e-71
CAUTION: Gross error found at entry 358.
Found: 0 Expected
- 3.9702e-21 Error: 1.7843e+287
26.2704, 126.472, 458.227, 1, 3.9702e-21
- CAUTION: Gross error found at entry 359.
*** FURTHER CONTENT HAS BEEN
- TRUNCATED FOR BREVITY ***
-
- CAUTION:
- Gross error found at entry 56.
Found: 0.000186411 Expected 7.85192e-05
- Error: 1.37408
61.6335, 46.2251, 68.8608, 0.999921, 7.85192e-05
- CAUTION: Gross error found at entry 75.
Found: 0.00011439 Expected 5.05344e-05
- Error: 1.26361
80.8418, 60.6313, 86.1278, 0.999949, 5.05344e-05
- CAUTION: Gross error found at entry 93.
Found: 0.000655162 Expected 0.000423927
- Error: 0.545458
100.733, 50.3663, 65.7619, 0.999576, 0.000423927
- CAUTION: Gross error found at entry 112.
Found: 0.000518249 Expected
- 0.00034473 Error: 0.503348
127.953, 63.9764, 81.0824, 0.999655, 0.00034473
-
- CAUTION:
- Gross error found at entry 74.
Found: 0.000830062 Expected 0.000522858
- Error: 0.587549
79.7478, -39.8739, -53.8066, 0.000522858, 0.999477
- CAUTION: Gross error found at entry 94.
Found: 7.69292e-05 Expected 3.54024e-05
- Error: 1.17299
101.191, -75.8936, -104.104, 3.54024e-05, 0.999965
- CAUTION: Gross error found at entry 113.
Found: 5.07713e-05 Expected
- 2.4439e-05 Error: 1.07747
128.792, -96.5942, -128.112, 2.4439e-05, 0.999976
- CAUTION: Gross error found at entry 132.
Found: 4.08612e-05 Expected
- 2.01542e-05 Error: 1.02743
146.56, -109.92, -143.392, 2.01542e-05, 0.99998
- CAUTION: Gross error found at entry 151.
Found: 3.55146e-05 Expected
- 1.7803e-05 Error: 0.994869
159.586, -119.689, -154.522, 1.7803e-05, 0.999982
- CAUTION: Gross error found at entry 170.
Found: 3.03671e-05 Expected
- 1.55023e-05 Error: 0.958873
175.686, -131.765, -168.211, 1.55023e-05,
- 0.999984
CAUTION: Gross error found at entry 189.
Found: 2.61339e-05
- Expected 1.3581e-05 Error: 0.924298
192.978, -144.733, -182.834, 1.3581e-05,
- 0.999986
-
- CAUTION:
- Found non-finite result, when a finite value was expected at entry 0
- Found: -nan Expected 2.07309e+257 Error: 1.79769e+308
171, 2, 2.07309e+257
- CAUTION: Gross error found at entry 0.
Found: -nan Expected 2.07309e+257
- Error: 1.79769e+308
171, 2, 2.07309e+257
CAUTION: Found non-finite
- result, when a finite value was expected at entry 1
Found: -nan Expected
- 7.42912e+188 Error: 1.79769e+308
171, 5, 7.42912e+188
CAUTION:
- Gross error found at entry 1.
Found: -nan Expected 7.42912e+188 Error:
- 1.79769e+308
171, 5, 7.42912e+188
CAUTION: Found non-finite result,
- when a finite value was expected at entry 2
Found: -nan Expected -4.81295e+247
- Error: 1.79769e+308
166, 2, -4.81295e+247
CAUTION: Gross error
- found at entry 2.
Found: -nan Expected -4.81295e+247 Error: 1.79769e+308
- 166, 2, -4.81295e+247
CAUTION: Found non-finite result, when a finite
- value was expected at entry 3
Found: -nan Expected -1.88439e+218 Error:
- 1.79769e+308
166, 3, -1.88439e+218
CAUTION: Gross error found at
- entry 3.
Found: -nan Expected -1.88439e+218 Error: 1.79769e+308
- 166, 3, -1.88439e+218
CAUTION: Found non-finite result, when a finite
- value was expected at entry 4
Found: -nan Expected 7.53144e+74 Error:
- 1.79769e+308
171, 23, 7.53144e+74
CAUTION: Gross error found at
- entry 4.
Found: -nan Expected 7.53144e+74 Error: 1.79769e+308
171,
- 23, 7.53144e+74
CAUTION: Found non-finite result, when a finite value
- was expected at entry 5
Found: -nan Expected -6.52661e-66 Error: 1.79769e+308
- 168, 150, -6.52661e-66
CAUTION: Gross error found at entry 5.
Found:
- -nan Expected -6.52661e-66 Error: 1.79769e+308
168, 150, -6.52661e-66
- CAUTION: Found non-finite result, when a finite value was expected at entry
- 6
Found: -nan Expected 9.2734e-88 Error: 1.79769e+308
169, 202,
- 9.2734e-88
CAUTION: Gross error found at entry 6.
Found: -nan Expected
- 9.2734e-88 Error: 1.79769e+308
169, 202, 9.2734e-88
Outside supported
- domain
20, -9.5, -0.00103076
Outside supported domain
21,
- -9.5, 4.28582e+26
Outside supported domain
22, -9.5, -0.00419144
- Outside supported domain
23, -9.5, 8.6745e+29
Outside supported
- domain
24, -9.5, -0.0204825
Outside supported domain
25,
- -9.5, 2.08188e+33
Outside supported domain
26, -9.5, -0.118403
- Outside supported domain
27, -9.5, 5.84592e+36
Outside supported
- domain
28, -9.5, -0.798969
Outside supported domain
29, -9.5,
- 1.89875e+40
Outside supported domain
30, -9.5, -6.22245
-
- Outside
- supported domain
124, -1.5, 7.63705e+240
Outside supported domain
- 124, -2.5, 7.63705e+240
Outside supported domain
124, -3.5, 7.63705e+240
- Outside supported domain
124, -4.5, 7.63705e+240
Outside supported
- domain
124, -5.5, 7.63705e+240
Outside supported domain
124,
- -6.5, 7.63705e+240
Outside supported domain
124, -7.5, 7.63705e+240
- Outside supported domain
124, -8.5, 7.63705e+240
Outside supported
- domain
124, -9.5, 7.63705e+240
Outside supported domain
124,
- -10.5, 7.63705e+240
Outside supported domain
124, -11.5, 7.63705e+240
- Outside supported domain
124, -12.5, 7.63705e+240
Outside supported
- domain
124, -13.5, 7.63705e+240
Outside supported domain
- 124, -14.5, 7.63705e+240
Outside supported domain
124, -15.5, 7.63705e+240
- Outside supported domain
124, -16.5, 7.63705e+240
Outside supported
- domain
124, -17.5, 7.63705e+240
Outside supported domain
- 124, -18.5, 7.63705e+240
Outside supported domain
124, -19.5, 7.63705e+240
- Outside supported domain
124, -20.5, 7.63705e+240
Outside supported
- domain
124, -1.5, -7.63705e+240
Outside supported domain
- 124, -2.5, -7.63705e+240
Outside supported domain
124, -3.5, -7.63705e+240
- Outside supported domain
124, -4.5, -7.63705e+240
Outside supported
- domain
124, -5.5, -7.63705e+240
Outside supported domain
- 124, -6.5, -7.63705e+240
Outside supported domain
124, -7.5, -7.63705e+240
- Outside supported domain
124, -8.5, -7.63705e+240
Outside supported
- domain
124, -9.5, -7.63705e+240
Outside supported domain
- 124, -10.5, -7.63705e+240
Outside supported domain
124, -11.5,
- -7.63705e+240
Outside supported domain
124, -12.5, -7.63705e+240
- Outside supported domain
124, -13.5, -7.63705e+240
Outside supported
- domain
124, -14.5, -7.63705e+240
Outside supported domain
- 124, -15.5, -7.63705e+240
Outside supported domain
124, -16.5,
- -7.63705e+240
Outside supported domain
124, -17.5, -7.63705e+240
- Outside supported domain
124, -18.5, -7.63705e+240
Outside supported
- domain
124, -19.5, -7.63705e+240
Outside supported domain
- 124, -20.5, -7.63705e+240
Outside supported domain
1, -0.5, 8.9348
- Outside supported domain
2, -0.5, -0.828797
Outside supported domain
- 3, -0.5, 193.409
Outside supported domain
4, -0.5, -3.47425
- Outside supported domain
5, -0.5, 15371.1
Outside supported domain
- 6, -0.5, -43.4579
Outside supported domain
7, -0.5, 2.58068e+06
- Outside supported domain
8, -0.5, -1059.96
Outside supported domain
- 9, -0.5, 7.43185e+08
Outside supported domain
10, -0.5, -42108.9
- Outside supported domain
11, -0.5, 3.26999e+11
Outside supported
- domain
12, -0.5, -2.46448e+06
Outside supported domain
13,
- -0.5, 2.04047e+14
Outside supported domain
14, -0.5, -1.9918e+08
- Outside supported domain
15, -0.5, 1.71399e+17
Outside supported
- domain
16, -0.5, -2.12394e+10
Outside supported domain
17,
- -0.5, 1.86483e+20
Outside supported domain
18, -0.5, -2.88824e+12
- Outside supported domain
19, -0.5, 2.55108e+23
Outside supported
- domain
20, -0.5, -4.87773e+14
Outside supported domain
21,
- -0.5, 4.28582e+26
Outside supported domain
1, -0.5, 8.9348
- Outside supported domain
2, -0.5, -0.828843
Outside supported domain
- 3, -0.5, 193.409
Outside supported domain
4, -0.5, -3.47791
- Outside supported domain
5, -0.5, 15371.1
Outside supported domain
- 6, -0.5, -44.0732
Outside supported domain
7, -0.5, 2.58068e+06
- Outside supported domain
8, -0.5, -1237.15
Outside supported domain
- 9, -0.5, 7.43185e+08
Outside supported domain
10, -0.5, -120071
- Outside supported domain
11, -0.5, 3.26999e+11
Outside supported
- domain
12, -0.5, -5.11131e+07
Outside supported domain
13,
- -0.5, 2.04047e+14
Outside supported domain
14, -0.5, -4.1064e+10
- Outside supported domain
15, -0.5, 1.71399e+17
Outside supported
- domain
16, -0.5, -4.44822e+13
Outside supported domain
17,
- -0.5, 1.86483e+20
Outside supported domain
18, -0.5, -6.08254e+16
- Outside supported domain
19, -0.5, 2.55108e+23
Outside supported
- domain
20, -0.5, -1.02182e+20
Outside supported domain
21,
- -0.5, 4.28582e+26
Outside supported domain
1, -0.5, 8.9348
- Outside supported domain
2, -0.5, -0.828751
Outside supported domain
- 3, -0.5, 193.409
Outside supported domain
4, -0.5, -3.47059
- Outside supported domain
*** FURTHER CONTENT HAS BEEN TRUNCATED FOR BREVITY
- ***
-
- Outside
- supported domain
1, -12.75, 19.6638
Outside supported domain
- 1, -12.25, 19.6608
Outside supported domain
1, -11.75, 19.6576
- Outside supported domain
1, -11.25, 19.6542
Outside supported domain
- 1, -10.75, 19.6504
Outside supported domain
1, -10.25, 19.6463
- Outside supported domain
1, -9.75, 19.6417
Outside supported domain
- 1, -9.25, 19.6367
Outside supported domain
1, -8.75, 19.6312
- Outside supported domain
1, -8.25, 19.625
Outside supported domain
- 1, -7.75, 19.6181
Outside supported domain
1, -7.25, 19.6104
- Outside supported domain
1, -6.75, 19.6015
Outside supported domain
- 1, -6.25, 19.5913
Outside supported domain
1, -5.75, 19.5795
- Outside supported domain
1, -5.25, 19.5657
Outside supported domain
- 1, -4.75, 19.5493
Outside supported domain
1, -4.25, 19.5294
- Outside supported domain
1, -3.75, 19.505
Outside supported domain
- 1, -3.25, 19.4741
Outside supported domain
1, -2.75, 19.4339
- Outside supported domain
1, -2.25, 19.3794
Outside supported domain
- 1, -1.75, 19.3016
Outside supported domain
1, -1.25, 19.1819
- Outside supported domain
1, -0.75, 18.9751
Outside supported domain
- 1, -0.25, 18.5419
Outside supported domain
2, -12.75, -124.031
- Outside supported domain
2, -12.25, 124.019
Outside supported domain
- 2, -11.75, -124.032
Outside supported domain
2, -11.25, 124.018
- Outside supported domain
2, -10.75, -124.033
Outside supported
- domain
2, -10.25, 124.016
Outside supported domain
2, -9.75,
- -124.035
Outside supported domain
2, -9.25, 124.015
Outside
- supported domain
2, -8.75, -124.037
Outside supported domain
- 2, -8.25, 124.012
Outside supported domain
2, -7.75, -124.04
- Outside supported domain
2, -7.25, 124.009
Outside supported domain
- 2, -6.75, -124.044
Outside supported domain
2, -6.25, 124.003
- Outside supported domain
2, -5.75, -124.051
Outside supported domain
- 2, -5.25, 123.995
Outside supported domain
2, -4.75, -124.061
- Outside supported domain
2, -4.25, 123.981
Outside supported domain
- 2, -3.75, -124.08
Outside supported domain
2, -3.25, 123.955
- Outside supported domain
2, -2.75, -124.118
Outside supported domain
- 2, -2.25, 123.897
Outside supported domain
2, -1.75, -124.214
- Outside supported domain
2, -1.25, 123.721
Outside supported domain
- 2, -0.75, -124.587
Outside supported domain
2, -0.25, 122.697
- Outside supported domain
3, -12.75, 1558.54
Outside supported domain
- 3, -12.25, 1558.54
Outside supported domain
3, -11.75, 1558.54
- Outside supported domain
3, -11.25, 1558.54
Outside supported domain
- 3, -10.75, 1558.54
Outside supported domain
3, -10.25, 1558.54
- Outside supported domain
3, -9.75, 1558.54
Outside supported domain
- 3, -9.25, 1558.54
Outside supported domain
3, -8.75, 1558.54
- Outside supported domain
3, -8.25, 1558.54
Outside supported domain
- 3, -7.75, 1558.54
Outside supported domain
3, -7.25, 1558.54
- Outside supported domain
3, -6.75, 1558.54
Outside supported domain
- 3, -6.25, 1558.54
Outside supported domain
3, -5.75, 1558.54
- Outside supported domain
3, -5.25, 1558.54
Outside supported domain
- 3, -4.75, 1558.53
Outside supported domain
3, -4.25, 1558.53
- Outside supported domain
3, -3.75, 1558.52
Outside supported domain
- 3, -3.25, 1558.51
Outside supported domain
3, -2.75, 1558.49
- Outside supported domain
3, -2.25, 1558.46
Outside supported domain
- 3, -1.75, 1558.38
Outside supported domain
3, -1.25, 1558.22
- Outside supported domain
3, -0.75, 1557.75
Outside supported domain
- 3, -0.25, 1555.76
Outside supported domain
4, -12.75, -24481.6
- Outside supported domain
4, -12.25, 24481.6
Outside supported domain
- 4, -11.75, -24481.6
Outside supported domain
4, -11.25, 24481.6
- Outside supported domain
4, -10.75, -24481.6
Outside supported
- domain
4, -10.25, 24481.6
Outside supported domain
4, -9.75,
- -24481.6
Outside supported domain
4, -9.25, 24481.6
Outside
- supported domain
4, -8.75, -24481.6
Outside supported domain
- 4, -8.25, 24481.6
Outside supported domain
4, -7.75, -24481.6
- Outside supported domain
4, -7.25, 24481.6
Outside supported domain
- 4, -6.75, -24481.6
Outside supported domain
4, -6.25, 24481.6
- Outside supported domain
4, -5.75, -24481.6
Outside supported domain
- 4, -5.25, 24481.6
Outside supported domain
*** FURTHER CONTENT
- HAS BEEN TRUNCATED FOR BREVITY ***
-
- CAUTION:
- Gross error found at entry 211.
Found: -0 Expected -8.44974e-268 Error:
- 3.79751e+40
30, 8.58993e+09, -8.44974e-268
CAUTION: Gross error
- found at entry 212.
Found: -0 Expected -7.86943e-277 Error: 3.5367e+31
- 30, 1.71799e+10, -7.86943e-277
CAUTION: Gross error found at entry 213.
- Found: -0 Expected -7.32898e-286 Error: 3.29381e+22
30, 3.43597e+10,
- -7.32898e-286
CAUTION: Gross error found at entry 214.
Found: -0
- Expected -6.82564e-295 Error: 3.0676e+13
30, 6.87195e+10, -6.82564e-295
- CAUTION: Gross error found at entry 215.
Found: -0 Expected -6.35687e-304
- Error: 28568.3
30, 1.37439e+11, -6.35687e-304
-
- domain
- error
-1, 3.72917e-155, 1.86459e-155
domain error
-1.125,
- 3.72917e-155, -1.34964e+173
-
- domain
- error
-80.4919, 24.7501, 4.18698e+28
domain error
-80.4919,
- 63.7722, 2.03248e+06
domain error
-74.6026, 24.7501, 7.20977e+23
- domain error
-74.6026, 63.7722, 8.7549e+08
domain error
-72.9046,
- 24.7501, 1.04535e+22
domain error
-72.9046, 63.7722, 4.7162e+09
- domain error
-62.3236, 24.7501, 3.65147e+14
domain error
- -62.3236, 63.7722, 8.56683e+13
domain error
-55.7932, 24.7501,
- -7.70364e+09
domain error
-55.7932, 63.7722, 1.95969e+16
- domain error
-44.3004, 9.50706, 2.93478e+22
domain error
- -44.3004, 24.7501, 640.568
domain error
-44.3004, 63.7722, 8.05557e+19
- domain error
-38.3666, 5.11399, 2.89105e+27
domain error
- -38.3666, 9.50706, 8.80632e+16
domain error
-38.3666, 24.7501,
- 0.389004
domain error
-38.3666, 63.7722, 3.06303e+21
underflow
- 81.1584, 0.00177219, 0
underflow
81.1584, 0.00221773, 0
underflow
- 81.1584, 0.0074445, 6.08857e-319
underflow
82.6752, 0.00177219,
- 0
underflow
82.6752, 0.00221773, 0
underflow
82.6752,
- 0.0074445, 0
underflow
91.5014, 0.00177219, 0
underflow
- 91.5014, 0.00221773, 0
underflow
91.5014, 0.0074445, 0
underflow
- 91.5014, 0.014336, 0
underflow
91.5014, 0.0176092, 0
underflow
- 92.9777, 0.00177219, 0
underflow
92.9777, 0.00221773, 0
underflow
- 92.9777, 0.0074445, 0
underflow
92.9777, 0.014336, 0
underflow
- 92.9777, 0.0176092, 0
underflow
93.539, 0.00177219, 0
underflow
- 93.539, 0.00221773, 0
underflow
93.539, 0.0074445, 0
underflow
- 93.539, 0.014336, 0
underflow
93.539, 0.0176092, 0
underflow
- 93.7736, 0.00177219, 0
underflow
93.7736, 0.00221773, 0
underflow
- 93.7736, 0.0074445, 0
underflow
93.7736, 0.014336, 0
underflow
- 93.7736, 0.0176092, 0
underflow
98.5763, 0.00177219, 0
underflow
- 98.5763, 0.00221773, 0
underflow
98.5763, 0.0074445, 0
underflow
- 98.5763, 0.014336, 0
underflow
98.5763, 0.0176092, 0
underflow
- 99.2923, 0.00177219, 0
underflow
99.2923, 0.00221773, 0
underflow
- 99.2923, 0.0074445, 0
underflow
99.2923, 0.014336, 0
underflow
- 99.2923, 0.0176092, 0
-
- underflow
- 70, 0.00177219, 1.75887e-314
underflow
73, 0.00177219, 0
- underflow
73, 0.00221773, 4.24896e-322
underflow
76, 0.00177219,
- 0
underflow
76, 0.00221773, 0
underflow
79, 0.00177219,
- 0
underflow
79, 0.00221773, 0
underflow
79, 0.0074445,
- 1.38676e-309
underflow
82, 0.00177219, 0
underflow
- 82, 0.00221773, 0
underflow
82, 0.0074445, 1.33398e-322
underflow
- 85, 0.00177219, 0
underflow
85, 0.00221773, 0
underflow
- 85, 0.0074445, 0
underflow
85, 0.014336, 1.81568e-311
underflow
- 88, 0.00177219, 0
underflow
88, 0.00221773, 0
underflow
- 88, 0.0074445, 0
underflow
88, 0.014336, 9.88131e-324
underflow
- 88, 0.0176092, 7.34647e-316
-
- domain
- error
-4.99902, 2.125, 0.0267921
domain error
-5.5, 10, 597.578
- domain error
-5.5, 100, 9.22363e+41
domain error
-10.0003,
- 0.000976562, 1.41474e+35
domain error
-10.0003, 50, 1.07153e+20
- domain error
-141.4, 100, 2066.28
-
- domain
- error
-2, 0, 0
domain error
-5, 100, 9.47009e+41
domain
- error
-5, -1, -0.000271463
domain error
10, -5, 0.00458004
- domain error
-100, -200, 4.35275e+74
underflow
10, 1e-100,
- 0
-
- domain
- error
1, -2, -1.59064
domain error
1, -8, -399.873
- domain error
1, -10, -2670.99
-
- domain
- error
0, -2, 2.27959
domain error
0, -7, 168.594
domain
- error
0, -1, 1.26607
-
- Bad
- argument in __cyl_bessel_i.
-1, 3.72917e-155, 1.86459e-155
Bad
- argument in __cyl_bessel_i.
-1.125, 3.72917e-155, -1.34964e+173
-
- Bad
- argument in __cyl_bessel_i.
-80.4919, 24.7501, 4.18698e+28
Bad
- argument in __cyl_bessel_i.
-80.4919, 63.7722, 2.03248e+06
Bad
- argument in __cyl_bessel_i.
-74.6026, 24.7501, 7.20977e+23
Bad
- argument in __cyl_bessel_i.
-74.6026, 63.7722, 8.7549e+08
Bad argument
- in __cyl_bessel_i.
-72.9046, 24.7501, 1.04535e+22
Bad argument
- in __cyl_bessel_i.
-72.9046, 63.7722, 4.7162e+09
Bad argument in
- __cyl_bessel_i.
-62.3236, 24.7501, 3.65147e+14
Bad argument in
- __cyl_bessel_i.
-62.3236, 63.7722, 8.56683e+13
Bad argument in
- __cyl_bessel_i.
-55.7932, 24.7501, -7.70364e+09
Bad argument in
- __cyl_bessel_i.
-55.7932, 63.7722, 1.95969e+16
Bad argument in
- __cyl_bessel_i.
-44.3004, 9.50706, 2.93478e+22
Bad argument in
- __cyl_bessel_i.
-44.3004, 24.7501, 640.568
Bad argument in __cyl_bessel_i.
- -44.3004, 63.7722, 8.05557e+19
Bad argument in __cyl_bessel_i.
- -38.3666, 5.11399, 2.89105e+27
Bad argument in __cyl_bessel_i.
- -38.3666, 9.50706, 8.80632e+16
Bad argument in __cyl_bessel_i.
- -38.3666, 24.7501, 0.389004
Bad argument in __cyl_bessel_i.
-38.3666,
- 63.7722, 3.06303e+21
-
- Bad
- argument in __cyl_bessel_i.
-4.99902, 2.125, 0.0267921
Bad argument
- in __cyl_bessel_i.
-5.5, 10, 597.578
Bad argument in __cyl_bessel_i.
- -5.5, 100, 9.22363e+41
Bad argument in __cyl_bessel_i.
-10.0003,
- 0.000976562, 1.41474e+35
Bad argument in __cyl_bessel_i.
-10.0003,
- 50, 1.07153e+20
Bad argument in __cyl_bessel_i.
-141.4, 100, 2066.28
-
- Bad
- argument in __cyl_bessel_i.
-2, 0, 0
Bad argument in __cyl_bessel_i.
- -5, 100, 9.47009e+41
Bad argument in __cyl_bessel_i.
-5, -1, -0.000271463
- Bad argument in __cyl_bessel_i.
10, -5, 0.00458004
Bad argument
- in __cyl_bessel_i.
-100, -200, 4.35275e+74
-
- Bad
- argument in __cyl_bessel_i.
1, -2, -1.59064
Bad argument in __cyl_bessel_i.
- 1, -8, -399.873
Bad argument in __cyl_bessel_i.
1, -10, -2670.99
-
- Bad
- argument in __cyl_bessel_i.
0, -2, 2.27959
Bad argument in __cyl_bessel_i.
- 0, -7, 168.594
Bad argument in __cyl_bessel_i.
0, -1, 1.26607
-
- Bad
- argument in __cyl_bessel_i.
-2, 0, 0
Bad argument in __cyl_bessel_i.
- -5, 100, 9.47009e+41
Bad argument in __cyl_bessel_i.
-5, -1, -0.000271463
- Bad argument in __cyl_bessel_i.
10, -5, 0.00458004
Bad argument
- in __cyl_bessel_i.
-100, -200, 4.35275e+74
-
- Bad
- argument in __cyl_bessel_i.
1, -2, -1.59064
Bad argument in __cyl_bessel_i.
- 1, -8, -399.873
Bad argument in __cyl_bessel_i.
1, -10, -2670.99
-
- Bad
- argument in __cyl_bessel_i.
0, -2, 2.27959
Bad argument in __cyl_bessel_i.
- 0, -7, 168.594
Bad argument in __cyl_bessel_i.
0, -1, 1.26607
-
- underflow
- 63.8868, 5.5381e-05, 0
underflow
63.8868, 6.9304e-05, 0
underflow
- 63.8868, 0.000232641, 0
underflow
63.8868, 0.000448, 8.39912e-323
- underflow
63.8868, 0.000550287, 4.32897e-317
-
- domain
- error
-0.5, 1.2459e-206, 7.14823e+102
domain error
-256,
- 8, 0
domain error
-2.5, 4, -0.0145679
-
- domain
- error
-5.5, 3.1416, -2.5582
domain error
-5.5, 10000, 0.00244984
- domain error
-5.5, 10000, 0.00244984
domain error
-5.5, 1e+06,
- 0.000279243
domain error
-0.5, 101, 0.0708185
domain error
- -10.0003, 0.000976562, 1.41474e+35
domain error
-10.0003, 15, -0.0902239
- domain error
-10.0003, 100, -0.0547614
domain error
-10.0003,
- 20000, -0.00556869
domain error
-8.5, 12.5664, -0.257087
-
- domain
- error
-1, 1.25, -0.510623
domain error
-2, 0, 0
domain
- error
5, -10, 0.234062
domain error
-5, 1e+06, 0.000725964
- domain error
-5, -1, 0.000249758
domain error
10, -10, 0.207486
- domain error
10, -5, 0.0014678
domain error
-10, 1e+06, -0.000331079
- underflow
10, 1e-100, 0
-
- domain
- error
1, -2, -0.576725
domain error
1, -8, -0.234636
- domain error
1, -10, -0.0434727
-
- domain
- error
0, -2, 0.223891
domain error
0, -8, 0.171651
- domain error
0, -10, -0.245936
-
- Bad
- argument in __cyl_bessel_j.
-0.5, 1.2459e-206, 7.14823e+102
Bad
- argument in __cyl_bessel_j.
-256, 8, 1.46866e-353
Bad argument
- in __cyl_bessel_j.
-2.5, 4, -0.0145679
-
- Bad
- argument in __cyl_bessel_j.
-5.5, 3.1416, -2.5582
Bad argument
- in __cyl_bessel_j.
-5.5, 10000, 0.00244984
Bad argument in __cyl_bessel_j.
- -5.5, 10000, 0.00244984
Bad argument in __cyl_bessel_j.
-5.5, 1e+06,
- 0.000279243
Bad argument in __cyl_bessel_j.
-0.5, 101, 0.0708185
- Bad argument in __cyl_bessel_j.
-10.0003, 0.000976562, 1.41474e+35
- Bad argument in __cyl_bessel_j.
-10.0003, 15, -0.0902239
Bad argument
- in __cyl_bessel_j.
-10.0003, 100, -0.0547614
Bad argument in __cyl_bessel_j.
- -10.0003, 20000, -0.00556869
Bad argument in __cyl_bessel_j.
-8.5,
- 12.5664, -0.257087
-
- Bad
- argument in __cyl_bessel_j.
-1, 1.25, -0.510623
Bad argument in
- __cyl_bessel_j.
-2, 0, 0
Bad argument in __cyl_bessel_j.
- 5, -10, 0.234062
Bad argument in __cyl_bessel_j.
-5, 1e+06, 0.000725964
- Bad argument in __cyl_bessel_j.
-5, -1, 0.000249758
Bad argument
- in __cyl_bessel_j.
10, -10, 0.207486
Bad argument in __cyl_bessel_j.
- 10, -5, 0.0014678
Bad argument in __cyl_bessel_j.
-10, 1e+06, -0.000331079
- CAUTION: Gross error found at entry 15.
Found: 0.0042409 Expected 0.00128318
- Error: 2.305
1000, 100000, 0.00128318
-
- Bad
- argument in __cyl_bessel_j.
1, -2, -0.576725
Bad argument in __cyl_bessel_j.
- 1, -8, -0.234636
Bad argument in __cyl_bessel_j.
1, -10, -0.0434727
-
- Bad
- argument in __cyl_bessel_j.
0, -2, 0.223891
Bad argument in __cyl_bessel_j.
- 0, -8, 0.171651
Bad argument in __cyl_bessel_j.
0, -10, -0.245936
-
- Bad
- argument in __cyl_bessel_j.
-1, 1.25, -0.510623
Bad argument in
- __cyl_bessel_j.
-2, 0, 0
Bad argument in __cyl_bessel_j.
- 5, -10, 0.234062
Bad argument in __cyl_bessel_j.
-5, 1e+06, 0.000725964
- Bad argument in __cyl_bessel_j.
-5, -1, 0.000249758
Bad argument
- in __cyl_bessel_j.
10, -10, 0.207486
Bad argument in __cyl_bessel_j.
- 10, -5, 0.0014678
Bad argument in __cyl_bessel_j.
-10, 1e+06, -0.000331079
- CAUTION: Gross error found at entry 15.
Found: 0.0042409 Expected 0.00128318
- Error: 2.305
1000, 100000, 0.00128318
-
- Bad
- argument in __cyl_bessel_j.
1, -2, -0.576725
Bad argument in __cyl_bessel_j.
- 1, -8, -0.234636
Bad argument in __cyl_bessel_j.
1, -10, -0.0434727
-
- Bad
- argument in __cyl_bessel_j.
0, -2, 0.223891
Bad argument in __cyl_bessel_j.
- 0, -8, 0.171651
Bad argument in __cyl_bessel_j.
0, -10, -0.245936
-
- domain
- error
-80.4919, 24.7501, 6.57902e+28
domain error
-80.4919,
- 63.7722, 2.39552e-09
domain error
-80.4919, 125.28, 3.06904e-45
- domain error
-80.4919, 255.547, 2.30343e-107
domain error
- -80.4919, 503.011, 1.20315e-217
domain error
-80.4919, 1007.46,
- 0
domain error
-80.4919, 1185.4, 0
domain error
-80.4919,
- 3534.52, 0
domain error
-80.4919, 8071.55, 0
domain error
- -80.4919, 16229.2, 0
domain error
-80.4919, 32066.2, 0
domain
- error
-80.4919, 36367.9, 0
domain error
-74.6026, 24.7501,
- 1.19405e+24
domain error
-74.6026, 63.7722, 5.81897e-12
domain
- error
-74.6026, 125.28, 9.89214e-47
domain error
-74.6026,
- 255.547, 3.9726e-108
domain error
-74.6026, 503.011, 4.87462e-218
- domain error
-74.6026, 1007.46, 0
domain error
-74.6026,
- 1185.4, 0
domain error
-74.6026, 3534.52, 0
domain error
- -74.6026, 8071.55, 0
domain error
-74.6026, 16229.2, 0
domain
- error
-74.6026, 32066.2, 0
domain error
-74.6026, 36367.9,
- 0
domain error
-72.9046, 24.7501, 5.5618e+22
domain error
- -72.9046, 63.7722, 1.09452e-12
domain error
-72.9046, 125.28, 3.8393e-47
- domain error
-72.9046, 255.547, 2.45173e-108
domain error
- -72.9046, 503.011, 3.80454e-218
domain error
-72.9046, 1007.46,
- 0
domain error
-72.9046, 1185.4, 0
domain error
-72.9046,
- 3534.52, 0
domain error
-72.9046, 8071.55, 0
domain error
- -72.9046, 16229.2, 0
domain error
-72.9046, 32066.2, 0
domain
- error
-72.9046, 36367.9, 0
domain error
-62.3236, 24.7501,
- 6.74518e+14
domain error
-62.3236, 63.7722, 6.54531e-17
domain
- error
-62.3236, 125.28, 1.65653e-49
domain error
-62.3236,
- 255.547, 1.54767e-109
domain error
-62.3236, 503.011, 9.22721e-219
- domain error
-62.3236, 1007.46, 0
domain error
-62.3236,
- 1185.4, 0
domain error
-62.3236, 3534.52, 0
domain error
- -62.3236, 8071.55, 0
domain error
-62.3236, 16229.2, 0
domain
- error
-62.3236, 32066.2, 0
domain error
-62.3236, 36367.9,
- 0
domain error
-55.7932, 24.7501, 2.00028e+10
domain error
- -55.7932, 63.7722, 3.01107e-19
domain error
-55.7932, 125.28, 8.54693e-51
- domain error
-55.7932, 255.547, 3.47666e-110
domain error
- -55.7932, 503.011, 4.29705e-219
domain error
-55.7932, 1007.46,
- 0
domain error
-55.7932, 1185.4, 0
domain error
-55.7932,
- 3534.52, 0
domain error
-55.7932, 8071.55, 0
domain error
- -55.7932, 16229.2, 0
domain error
-55.7932, 32066.2, 0
domain
- error
-55.7932, 36367.9, 0
domain error
-44.3004, 9.50706,
- 5.6936e+22
domain error
-44.3004, 24.7501, 1242.73
domain
- error
-44.3004, 63.7722, 7.99341e-23
domain error
-44.3004,
- 125.28, 9.88149e-53
domain error
-44.3004, 255.547, 3.73007e-111
- domain error
-44.3004, 503.011, 1.37367e-219
domain error
- -44.3004, 1007.46, 0
domain error
-44.3004, 1185.4, 0
domain
- error
-44.3004, 3534.52, 0
domain error
-44.3004, 8071.55,
- 0
domain error
-44.3004, 16229.2, 0
domain error
-44.3004,
- 32066.2, 0
domain error
-44.3004, 36367.9, 0
domain error
- -38.3666, 5.11399, 4.97154e+27
domain error
-38.3666, 9.50706,
- 1.51436e+17
domain error
-38.3666, 24.7501, 0.639495
domain
- error
-38.3666, 63.7722, 2.19334e-24
domain error
-38.3666,
- 125.28, 1.45351e-53
domain error
-38.3666, 255.547, 1.43713e-111
- domain error
-38.3666, 503.011, 8.44445e-220
domain error
- -38.3666, 1007.46, 0
domain error
-38.3666, 1185.4, 0
domain
- error
-38.3666, 3534.52, 0
domain error
-38.3666, 8071.55,
- 0
domain error
-38.3666, 16229.2, 0
domain error
-38.3666,
- 32066.2, 0
domain error
-38.3666, 36367.9, 0
underflow
- 9.3763, 1007.46, 0
underflow
9.3763, 1185.4, 0
underflow
- 9.3763, 3534.52, 0
underflow
9.3763, 8071.55, 0
underflow
- 9.3763, 16229.2, 0
underflow
9.3763, 32066.2, 0
underflow
- 9.3763, 36367.9, 0
underflow
9.44412, 1007.46, 0
underflow
- 9.44412, 1185.4, 0
underflow
9.44412, 3534.52, 0
underflow
- 9.44412, 8071.55, 0
underflow
9.44412, 16229.2, 0
underflow
- 9.44412, 32066.2, 0
underflow
9.44412, 36367.9, 0
underflow
- 26.4719, 1007.46, 0
underflow
26.4719, 1185.4, 0
underflow
- 26.4719, 3534.52, 0
underflow
26.4719, 8071.55, 0
underflow
- 26.4719, 16229.2, 0
underflow
26.4719, 32066.2, 0
underflow
- 26.4719, 36367.9, 0
underflow
62.9447, 1007.46, 0
underflow
- 62.9447, 1185.4, 0
underflow
62.9447, 3534.52, 0
underflow
- 62.9447, 8071.55, 0
underflow
62.9447, 16229.2, 0
underflow
- *** FURTHER CONTENT HAS BEEN TRUNCATED FOR BREVITY ***
-
- underflow
- 0, 1007.46, 0
underflow
0, 1185.4, 0
underflow
0, 3534.52,
- 0
underflow
0, 8071.55, 0
underflow
0, 16229.2, 0
- underflow
0, 32066.2, 0
underflow
0, 36367.9, 0
underflow
- 1, 1007.46, 0
underflow
1, 1185.4, 0
underflow
1, 3534.52,
- 0
underflow
1, 8071.55, 0
underflow
1, 16229.2, 0
- underflow
1, 32066.2, 0
underflow
1, 36367.9, 0
underflow
- 4, 1007.46, 0
underflow
4, 1185.4, 0
underflow
4, 3534.52,
- 0
underflow
4, 8071.55, 0
underflow
4, 16229.2, 0
- underflow
4, 32066.2, 0
underflow
4, 36367.9, 0
underflow
- 7, 1007.46, 0
underflow
7, 1185.4, 0
underflow
7, 3534.52,
- 0
underflow
7, 8071.55, 0
underflow
7, 16229.2, 0
- underflow
7, 32066.2, 0
underflow
7, 36367.9, 0
underflow
- 10, 1007.46, 0
underflow
10, 1185.4, 0
underflow
10,
- 3534.52, 0
underflow
10, 8071.55, 0
underflow
10, 16229.2,
- 0
underflow
10, 32066.2, 0
underflow
10, 36367.9, 0
- underflow
13, 1007.46, 0
underflow
13, 1185.4, 0
underflow
- 13, 3534.52, 0
underflow
13, 8071.55, 0
underflow
13,
- 16229.2, 0
underflow
13, 32066.2, 0
underflow
13, 36367.9,
- 0
underflow
16, 1007.46, 0
underflow
16, 1185.4, 0
- underflow
16, 3534.52, 0
underflow
16, 8071.55, 0
underflow
- 16, 16229.2, 0
underflow
16, 32066.2, 0
underflow
16,
- 36367.9, 0
underflow
19, 1007.46, 0
underflow
19, 1185.4,
- 0
underflow
19, 3534.52, 0
underflow
19, 8071.55, 0
- underflow
19, 16229.2, 0
underflow
19, 32066.2, 0
underflow
- 19, 36367.9, 0
underflow
22, 1007.46, 0
underflow
22,
- 1185.4, 0
underflow
22, 3534.52, 0
underflow
22, 8071.55,
- 0
underflow
22, 16229.2, 0
underflow
22, 32066.2, 0
- underflow
22, 36367.9, 0
underflow
25, 1007.46, 0
underflow
- 25, 1185.4, 0
underflow
25, 3534.52, 0
underflow
25,
- 8071.55, 0
underflow
25, 16229.2, 0
underflow
25, 32066.2,
- 0
underflow
25, 36367.9, 0
underflow
28, 1007.46, 0
- underflow
28, 1185.4, 0
underflow
28, 3534.52, 0
underflow
- 28, 8071.55, 0
underflow
28, 16229.2, 0
underflow
28,
- 32066.2, 0
underflow
28, 36367.9, 0
underflow
31, 1007.46,
- 0
underflow
31, 1185.4, 0
underflow
31, 3534.52, 0
- underflow
31, 8071.55, 0
underflow
31, 16229.2, 0
underflow
- 31, 32066.2, 0
underflow
31, 36367.9, 0
underflow
34,
- 1007.46, 0
underflow
34, 1185.4, 0
underflow
34, 3534.52,
- 0
underflow
34, 8071.55, 0
underflow
34, 16229.2, 0
- underflow
34, 32066.2, 0
underflow
34, 36367.9, 0
underflow
- 37, 1007.46, 0
underflow
37, 1185.4, 0
underflow
37,
- 3534.52, 0
underflow
37, 8071.55, 0
underflow
37, 16229.2,
- 0
underflow
37, 32066.2, 0
underflow
37, 36367.9, 0
- underflow
40, 1007.46, 0
underflow
40, 1185.4, 0
underflow
- 40, 3534.52, 0
underflow
40, 8071.55, 0
underflow
40,
- 16229.2, 0
underflow
40, 32066.2, 0
underflow
40, 36367.9,
- 0
underflow
43, 1007.46, 0
underflow
43, 1185.4, 0
- underflow
43, 3534.52, 0
underflow
43, 8071.55, 0
underflow
- 43, 16229.2, 0
underflow
43, 32066.2, 0
underflow
43,
- 36367.9, 0
underflow
46, 1007.46, 0
underflow
46, 1185.4,
- 0
underflow
46, 3534.52, 0
underflow
46, 8071.55, 0
- underflow
46, 16229.2, 0
underflow
46, 32066.2, 0
underflow
- 46, 36367.9, 0
underflow
49, 1007.46, 0
underflow
49,
- 1185.4, 0
underflow
49, 3534.52, 0
underflow
49, 8071.55,
- 0
underflow
49, 16229.2, 0
underflow
49, 32066.2, 0
- underflow
49, 36367.9, 0
underflow
52, 1007.46, 0
underflow
- 52, 1185.4, 0
underflow
52, 3534.52, 0
underflow
52,
- 8071.55, 0
underflow
52, 16229.2, 0
underflow
52, 32066.2,
- 0
underflow
52, 36367.9, 0
underflow
55, 1007.46, 0
- underflow
55, 1185.4, 0
underflow
55, 3534.52, 0
underflow
- 55, 8071.55, 0
underflow
55, 16229.2, 0
underflow
55,
- 32066.2, 0
underflow
55, 36367.9, 0
underflow
58, 1007.46,
- 0
underflow
58, 1185.4, 0
underflow
58, 3534.52, 0
- underflow
58, 8071.55, 0
underflow
58, 16229.2, 0
underflow
- 58, 32066.2, 0
underflow
58, 36367.9, 0
underflow
61,
- 1007.46, 0
underflow
61, 1185.4, 0
underflow
61, 3534.52,
- 0
underflow
61, 8071.55, 0
underflow
61, 16229.2, 0
- underflow
61, 32066.2, 0
underflow
61, 36367.9, 0
underflow
- 64, 1007.46, 0
underflow
64, 1185.4, 0
underflow
64,
- 3534.52, 0
underflow
64, 8071.55, 0
underflow
64, 16229.2,
- 0
underflow
64, 32066.2, 0
underflow
64, 36367.9, 0
- underflow
67, 1007.46, 0
underflow
67, 1185.4, 0
underflow
- 67, 3534.52, 0
underflow
67, 8071.55, 0
underflow
67,
- 16229.2, 0
*** FURTHER CONTENT HAS BEEN TRUNCATED FOR BREVITY ***
-
- domain
- error
-1, 3.72917e-155, 2.68156e+154
domain error
-1.125,
- 3.72917e-155, 5.53984e+173
-
- domain
- error
-5.5, 10, 7.33045e-05
domain error
-5.5, 100, 5.41275e-45
- domain error
-141.399, 50, 1.30185e+42
-
- domain
- error
-5, 100, 5.27326e-45
domain error
-10, 1, 1.80713e+08
- domain error
-1000, 700, 6.51562e-31
-
- Bad
- argument in __cyl_bessel_k.
-80.4919, 24.7501, 6.57902e+28
Bad
- argument in __cyl_bessel_k.
-80.4919, 63.7722, 2.39552e-09
Bad
- argument in __cyl_bessel_k.
-80.4919, 125.28, 3.06904e-45
Bad argument
- in __cyl_bessel_k.
-80.4919, 255.547, 2.30343e-107
Bad argument
- in __cyl_bessel_k.
-80.4919, 503.011, 1.20315e-217
Bad argument
- in __cyl_bessel_k.
-80.4919, 1007.46, 2.86537e-438
Bad argument
- in __cyl_bessel_k.
-80.4919, 1185.4, 8.63263e-516
Bad argument
- in __cyl_bessel_k.
-80.4919, 3534.52, 5.01367e-1537
Bad argument
- in __cyl_bessel_k.
-80.4919, 8071.55, 7.76555e-3508
Bad argument
- in __cyl_bessel_k.
-80.4919, 16229.2, 0
Bad argument in __cyl_bessel_k.
- -80.4919, 32066.2, 0
Bad argument in __cyl_bessel_k.
-80.4919,
- 36367.9, 0
Bad argument in __cyl_bessel_k.
-74.6026, 24.7501, 1.19405e+24
- Bad argument in __cyl_bessel_k.
-74.6026, 63.7722, 5.81897e-12
- Bad argument in __cyl_bessel_k.
-74.6026, 125.28, 9.89214e-47
Bad
- argument in __cyl_bessel_k.
-74.6026, 255.547, 3.9726e-108
Bad
- argument in __cyl_bessel_k.
-74.6026, 503.011, 4.87462e-218
Bad
- argument in __cyl_bessel_k.
-74.6026, 1007.46, 1.82221e-438
Bad
- argument in __cyl_bessel_k.
-74.6026, 1185.4, 5.87506e-516
Bad
- argument in __cyl_bessel_k.
-74.6026, 3534.52, 4.40608e-1537
Bad
- argument in __cyl_bessel_k.
-74.6026, 8071.55, 7.3384e-3508
Bad
- argument in __cyl_bessel_k.
-74.6026, 16229.2, 0
Bad argument in
- __cyl_bessel_k.
-74.6026, 32066.2, 0
Bad argument in __cyl_bessel_k.
- -74.6026, 36367.9, 0
Bad argument in __cyl_bessel_k.
-72.9046,
- 24.7501, 5.5618e+22
Bad argument in __cyl_bessel_k.
-72.9046, 63.7722,
- 1.09452e-12
Bad argument in __cyl_bessel_k.
-72.9046, 125.28, 3.8393e-47
- Bad argument in __cyl_bessel_k.
-72.9046, 255.547, 2.45173e-108
- Bad argument in __cyl_bessel_k.
-72.9046, 503.011, 3.80454e-218
- Bad argument in __cyl_bessel_k.
-72.9046, 1007.46, 1.60949e-438
- Bad argument in __cyl_bessel_k.
-72.9046, 1185.4, 5.28662e-516
- Bad argument in __cyl_bessel_k.
-72.9046, 3534.52, 4.25273e-1537
- Bad argument in __cyl_bessel_k.
-72.9046, 8071.55, 7.22542e-3508
- Bad argument in __cyl_bessel_k.
-72.9046, 16229.2, 0
Bad argument
- in __cyl_bessel_k.
-72.9046, 32066.2, 0
Bad argument in __cyl_bessel_k.
- -72.9046, 36367.9, 0
Bad argument in __cyl_bessel_k.
-62.3236,
- 24.7501, 6.74518e+14
Bad argument in __cyl_bessel_k.
-62.3236,
- 63.7722, 6.54531e-17
Bad argument in __cyl_bessel_k.
-62.3236,
- 125.28, 1.65653e-49
Bad argument in __cyl_bessel_k.
-62.3236, 255.547,
- 1.54767e-109
Bad argument in __cyl_bessel_k.
-62.3236, 503.011,
- 9.22721e-219
Bad argument in __cyl_bessel_k.
-62.3236, 1007.46,
- 7.91894e-439
Bad argument in __cyl_bessel_k.
-62.3236, 1185.4,
- 2.89281e-516
Bad argument in __cyl_bessel_k.
-62.3236, 3534.52,
- 3.4736e-1537
Bad argument in __cyl_bessel_k.
-62.3236, 8071.55,
- 6.6126e-3508
Bad argument in __cyl_bessel_k.
-62.3236, 16229.2,
- 0
Bad argument in __cyl_bessel_k.
-62.3236, 32066.2, 0
Bad
- argument in __cyl_bessel_k.
-62.3236, 36367.9, 0
Bad argument in
- __cyl_bessel_k.
-55.7932, 24.7501, 2.00028e+10
Bad argument in
- __cyl_bessel_k.
-55.7932, 63.7722, 3.01107e-19
Bad argument in
- __cyl_bessel_k.
-55.7932, 125.28, 8.54693e-51
Bad argument in __cyl_bessel_k.
- -55.7932, 255.547, 3.47666e-110
Bad argument in __cyl_bessel_k.
- -55.7932, 503.011, 4.29705e-219
Bad argument in __cyl_bessel_k.
- -55.7932, 1007.46, 5.40242e-439
Bad argument in __cyl_bessel_k.
- -55.7932, 1185.4, 2.08996e-516
Bad argument in __cyl_bessel_k.
- -55.7932, 3534.52, 3.11458e-1537
Bad argument in __cyl_bessel_k.
- -55.7932, 8071.55, 6.30409e-3508
Bad argument in __cyl_bessel_k.
- -55.7932, 16229.2, 0
Bad argument in __cyl_bessel_k.
-55.7932,
- 32066.2, 0
Bad argument in __cyl_bessel_k.
-55.7932, 36367.9, 0
- Bad argument in __cyl_bessel_k.
-44.3004, 9.50706, 5.6936e+22
Bad
- argument in __cyl_bessel_k.
-44.3004, 24.7501, 1242.73
Bad argument
- in __cyl_bessel_k.
-44.3004, 63.7722, 7.99341e-23
Bad argument
- in __cyl_bessel_k.
-44.3004, 125.28, 9.88149e-53
Bad argument in
- __cyl_bessel_k.
-44.3004, 255.547, 3.73007e-111
Bad argument in
- __cyl_bessel_k.
-44.3004, 503.011, 1.37367e-219
Bad argument in
- __cyl_bessel_k.
-44.3004, 1007.46, 3.05398e-439
Bad argument in
- __cyl_bessel_k.
*** FURTHER CONTENT HAS BEEN TRUNCATED FOR BREVITY ***
-
- Bad
- argument in __cyl_bessel_k.
-1, 3.72917e-155, 2.68156e+154
Bad
- argument in __cyl_bessel_k.
-1.125, 3.72917e-155, 5.53984e+173
-
- Bad
- argument in __cyl_bessel_k.
-5.5, 10, 7.33045e-05
Bad argument
- in __cyl_bessel_k.
-5.5, 100, 5.41275e-45
Bad argument in __cyl_bessel_k.
- -141.399, 50, 1.30185e+42
-
- Bad
- argument in __cyl_bessel_k.
-5, 100, 5.27326e-45
Bad argument in
- __cyl_bessel_k.
-10, 1, 1.80713e+08
Bad argument in __cyl_bessel_k.
- -1000, 700, 6.51562e-31
-
- Bad
- argument in __cyl_bessel_k.
-5, 100, 5.27326e-45
Bad argument in
- __cyl_bessel_k.
-10, 1, 1.80713e+08
Bad argument in __cyl_bessel_k.
- -1000, 700, 6.51562e-31
-
- domain
- error
-0.5, 1.2459e-206, 8.90598e-104
-
- domain
- error
-5.5, 3.125, -0.0274994
domain error
-5.5, 10000, -0.00759344
- domain error
-10.0003, 0.000976562, -1.50382e+38
domain error
- -10.0003, 100, 0.0583042
domain error
-141.75, 100, -3.8101e+09
- domain error
-8.5, 12.5664, 0.0436808
-
- domain
- error
-5, 1e+06, 0.000331052
domain error
-10, 1e+06, 0.000725952
- domain error
-1000, 700, -1.88753e+77
domain error
-25, 8,
- 3.45114e+08
-
- CAUTION:
- Gross error found at entry 394.
Found: -3.29903 Expected 0.0192842 Error:
- 1.18973e+4932
125.28, 1007.46, 0.0192842
CAUTION: Gross error found
- at entry 395.
Found: 1.13543 Expected 0.0230358 Error: 48.2897
- 125.28, 1185.4, 0.0230358
CAUTION: Gross error found at entry 396.
- Found: 0.00119445 Expected 0.00460223 Error: 2.85302
125.28, 3534.52,
- 0.00460223
CAUTION: Gross error found at entry 403.
Found: 1068
- Expected -0.00270959 Error: 1.18973e+4932
255.547, 1007.46, -0.00270959
- CAUTION: Gross error found at entry 404.
Found: -395.006 Expected 0.00738845
- Error: 1.18973e+4932
255.547, 1185.4, 0.00738845
CAUTION: Gross
- error found at entry 405.
Found: 1.08701 Expected -0.000407036 Error:
- 1.18973e+4932
255.547, 3534.52, -0.000407036
CAUTION: Gross error
- found at entry 406.
Found: 0.0232211 Expected 0.00886946 Error: 1.61809
- 255.547, 8071.55, 0.00886946
CAUTION: Gross error found at entry 411.
- Found: 65895.7 Expected -0.0158467 Error: 1.18973e+4932
503.011, 1007.46,
- -0.0158467
CAUTION: Gross error found at entry 412.
Found: -123316
- Expected 0.00594357 Error: 1.18973e+4932
503.011, 1185.4, 0.00594357
- CAUTION: Gross error found at entry 413.
Found: -706.209 Expected 0.010151
- Error: 1.18973e+4932
503.011, 3534.52, 0.010151
CAUTION: Gross
- error found at entry 414.
Found: -21.2081 Expected 0.00888375 Error:
- 1.18973e+4932
503.011, 8071.55, 0.00888375
CAUTION: Gross error
- found at entry 415.
Found: 0.0272835 Expected 0.00552287 Error: 3.94008
- 503.011, 16229.2, 0.00552287
CAUTION: Gross error found at entry 416.
- Found: 0.0103324 Expected 0.00445559 Error: 1.31898
503.011, 32066.2,
- 0.00445559
CAUTION: Gross error found at entry 417.
Found: 0.00540788
- Expected -0.00384344 Error: 1.18973e+4932
503.011, 36367.9, -0.00384344
- CAUTION: Gross error found at entry 418.
Found: 5.43091e+07 Expected
- -0.0772843 Error: 1.18973e+4932
1007.46, 1007.46, -0.0772843
CAUTION:
- Gross error found at entry 419.
Found: -2.84383e+07 Expected 0.0304312
- Error: 1.18973e+4932
1007.46, 1185.4, 0.0304312
CAUTION: Gross
- error found at entry 420.
Found: -61440.2 Expected -0.00474217 Error:
- 1.29562e+07
1007.46, 3534.52, -0.00474217
CAUTION: Gross error
- found at entry 421.
Found: -4126.89 Expected -0.0074205 Error: 556146
- 1007.46, 8071.55, -0.0074205
CAUTION: Gross error found at entry 422.
- Found: -69.2831 Expected -0.00179572 Error: 38581.4
1007.46, 16229.2,
- -0.00179572
CAUTION: Gross error found at entry 423.
Found: 2.32048
- Expected 0.000750053 Error: 3092.76
1007.46, 32066.2, 0.000750053
- CAUTION: Gross error found at entry 424.
Found: 3.90724 Expected 0.00305125
- Error: 1279.54
1007.46, 36367.9, 0.00305125
CAUTION: Gross error
- found at entry 425.
Found: -1.83374e+08 Expected -7.25176e+28 Error:
- 3.95463e+20
1185.4, 1007.46, -7.25176e+28
CAUTION: Gross error
- found at entry 426.
Found: 1.09822e+08 Expected -0.0732059 Error: 1.18973e+4932
- 1185.4, 1185.4, -0.0732059
CAUTION: Gross error found at entry 427.
- Found: 315632 Expected 0.000479585 Error: 6.58136e+08
1185.4, 3534.52,
- 0.000479585
CAUTION: Gross error found at entry 428.
Found: 16815.6
- Expected 0.00174909 Error: 9.61391e+06
1185.4, 8071.55, 0.00174909
- CAUTION: Gross error found at entry 429.
Found: 133.356 Expected 0.00416288
- Error: 32033.6
1185.4, 16229.2, 0.00416288
CAUTION: Gross error
- found at entry 430.
Found: -1.38401 Expected -0.000320056 Error: 4323.27
- 1185.4, 32066.2, -0.000320056
CAUTION: Gross error found at entry 431.
- Found: -17.7085 Expected -0.00417656 Error: 4238.96
1185.4, 36367.9,
- -0.00417656
-
- Bad
- argument in __cyl_neumann_n.
-0.5, 1.2459e-206, 8.90598e-104
-
- Bad
- argument in __cyl_neumann_n.
-5.5, 3.125, -0.0274994
Bad argument
- in __cyl_neumann_n.
-5.5, 10000, -0.00759344
Bad argument in __cyl_neumann_n.
- -10.0003, 0.000976562, -1.50382e+38
Bad argument in __cyl_neumann_n.
- -10.0003, 100, 0.0583042
Bad argument in __cyl_neumann_n.
-141.75,
- 100, -3.8101e+09
Bad argument in __cyl_neumann_n.
-8.5, 12.5664,
- 0.0436808
-
- Bad
- argument in __cyl_neumann_n.
-5, 1e+06, 0.000331052
Bad argument
- in __cyl_neumann_n.
-10, 1e+06, 0.000725952
CAUTION: Gross error
- found at entry 7.
Found: 0.0540745 Expected 0.00217255 Error: 23.8899
- 1000, 100000, 0.00217255
Bad argument in __cyl_neumann_n.
-1000,
- 700, -1.88753e+77
Bad argument in __cyl_neumann_n.
-25, 8, 3.45114e+08
-
- Bad
- argument in __cyl_neumann_n.
-5, 1e+06, 0.000331052
Bad argument
- in __cyl_neumann_n.
-10, 1e+06, 0.000725952
CAUTION: Gross error
- found at entry 7.
Found: 0.0540745 Expected 0.00217255 Error: 23.8899
- 1000, 100000, 0.00217255
Bad argument in __cyl_neumann_n.
-1000,
- 700, -1.88753e+77
Bad argument in __cyl_neumann_n.
-25, 8, 3.45114e+08
-
- CAUTION:
- Found non-finite result, when a finite value was expected at entry 22
- Found: inf Expected 5.69832e+154 Error: 1.79769e+308
2.98334e-154, 1.86459e-155,
- 5.69832e+154
CAUTION: Gross error found at entry 22.
Found: inf
- Expected 5.69832e+154 Error: 1.79769e+308
2.98334e-154, 1.86459e-155,
- 5.69832e+154
-
- domain
- error
1.77787e-31, 1.40657e+18, 10.046, -4.8298e-10, -2.51795e-10
- domain error
3.37448e-31, 4.65772e+22, 0.469831, -4.33756e-09, -2.95865e-11
- domain error
5.25297e-31, 5.85483e+25, 2.02482e-15, -1.87347e-28, 3.36445e+07
- domain error
6.22216e-31, 3.43401e+23, 0.673005, -2.7626e-13, -7.58898e-12
- domain error
6.26875e-31, 2.62568e-13, 1.06394e+24, -1.36451e+14, -6.70372e-25
- domain error
6.84599e-31, 3.57666e-29, 1.82191e+11, -3.63292e+08, -8.35235e-13
- domain error
8.90482e-31, 1.97093e-28, 1.14939e-31, -1.26424e-12, -6.39454e+26
- domain error
1.07374e-30, 1.70005e-12, 1.88773e-25, -1.16558e-29, 4.31668e+32
- domain error
1.17141e-30, 24.2523, 3.67522e+21, -4.79065e-22, 2.2702e-05
- domain error
1.64143e-30, 2.01978e-22, 2.58942e+12, -8.52649e-12, -2.82629e+06
- domain error
1.85141e-30, 0.0386712, 2.37846e-13, -1.57357e+15, -1.38574e-13
- domain error
2.70034e-30, 4.43896e-24, 7.54576e+16, -1.1436e-14, -1.10082e+07
- domain error
4.01162e-30, 2.73343e+23, 1.32333e+13, -1.86032e-07, -4.16626e-25
- domain error
4.13665e-30, 1.08034e-30, 3.13547e-16, -5.58099e-08, -5.14643e+16
- domain error
4.3728e-30, 7.79812e+12, 8.58894e+21, -4.58312e-24, 5.28901e-09
- domain error
5.6397e-30, 1.64768e+23, 9.64423e-15, -1.82207e+20, -1.62886e-30
- domain error
9.89841e-30, 9.69731e+10, 1.03263e+21, -0.00343967, -9.62714e-22
- domain error
1.3797e-29, 6.03357e+08, 5.62497e-15, -5.87235e+16, -5.80287e-20
- domain error
1.96963e-29, 3.22384e-25, 2.92187e+23, -3.80643e+27, -8.2513e-38
- domain error
2.00927e-29, 5.6976e-05, 1.16219e+25, -1.64129e-22, 0.00318397
- domain error
7.29506e-29, 5904.94, 9.93922e+10, -19.528, -1.60795e-09
- domain error
1.19698e-28, 1.66816e-22, 28472, -1.21137e-19, -5.84699e+17
- domain error
1.64095e-28, 2.13421e-21, 7.8914e-15, -1.77584e-07, -1.70156e+15
- domain error
2.03475e-28, 4.40987e+15, 28739.1, -9624.5, -1.29418e-12
- domain error
2.73113e-28, 1.08457e+19, 4.00674e+08, -5.70043e-11, 1.092e-17
- domain error
5.52633e-28, 1.45707e-17, 1.29411e-27, -1.67255e-15, -5.84881e+24
- domain error
5.61278e-28, 9.22881e-12, 8.64222e-13, -5.6282e+23, -4.57782e-18
- domain error
6.08465e-28, 1.32249e+26, 1.25536e-30, -1.89097e-14, -223.246
- domain error
9.50943e-28, 2.49682e-18, 0.000904584, -3.1419e-12, -2.44954e+14
- domain error
1.20779e-27, 35383.2, 1.35533e-15, -4.67834e-24, 3.20581e+15
- domain error
2.29822e-27, 3.35258e-16, 2.60689e+08, -9.99161e-20, -5.4924e+11
- domain error
3.0926e-27, 3.11839e-13, 3.37883e-23, -1.94349e+26, -3.55191e-19
- domain error
3.12803e-27, 1.15118e+16, 1.52495e+10, -4.2399e+13, -3.07515e-21
- domain error
4.49747e-27, 716.685, 1.69018e-23, -1.32558e-14, -9.2291e+13
- domain error
4.84575e-27, 3.44028e-27, 3.42665e+09, -812.399, -2.12767e-06
- domain error
5.81424e-27, 3.70845e-15, 3.69338e+11, -4.15794e+06, -2.95944e-11
- domain error
6.08654e-27, 1.23742e+08, 1.09124e-26, -2.19946e+16, -4.90896e-19
- domain error
7.71967e-27, 9.46115e-26, 1.24324e+25, -522800, -5.83203e-17
- domain error
9.20037e-27, 207550, 2.45782e-17, -6.06901e+29, -2.88945e-31
- domain error
1.75502e-26, 5.81507e+16, 8.83063e+21, -1.11214e-21, 1.57697e-11
- domain error
2.29965e-26, 2.9716e-21, 1.81059e-25, -5.23972e-08, -6.23302e+18
- domain error
2.32628e-26, 0.0655133, 1.62901e-21, -7.15441e-17, -9.88586e+17
- domain error
3.49194e-26, 2.53343e+14, 756.217, -1.3359e+10, -1.275e-16
- domain error
1.009e-25, 0.0694304, 1.20267e-14, -1.55746e-22, 2.10701e+17
- domain error
3.54771e-25, 1.67999e-27, 2.3917e+24, -9.98754e+25, -1.11704e-36
- domain error
6.31714e-25, 3.4594e-28, 6.37951e-24, -1.25529e-24, -9.56292e+35
- domain error
6.74086e-25, 2.47169e+12, 1.32962e+23, -6.78845e+06, -3.32861e-24
- domain error
1.8099e-24, 4.5215e-06, 8.66937e-11, -3.70795e-08, -1.41893e+11
- domain error
2.29798e-24, 9.30454e-30, 6.56584e-17, -9890.38, -373149
- domain error
2.88161e-24, 8.82377e-05, 1.57747e+21, -4.25068e-24, 2260.61
- domain error
3.25991e-24, 1.92923e+29, 3.09752e-05, -1.00986e+11, -1.25485e-24
- domain error
6.36705e-24, 2.8074e+22, 1.75569e-13, -1.53152e+24, -4.89823e-34
- domain error
7.90772e-24, 2.11611e-30, 1.42682e-07, -0.00296297, -5.38814e+07
- domain error
1.05302e-23, 4.83473e+26, 4.43149e-30, -1.56818e+13, -3.6836e-25
- *** FURTHER CONTENT HAS BEEN TRUNCATED FOR BREVITY ***
-
- CAUTION:
- Gross error found at entry 9.
Found: -7.02862e+09 Expected 1.04181e+20
- Error: 1.18973e+4932
1e+20, 0.390625, 1.04181e+20
CAUTION: Gross
- error found at entry 10.
Found: -9.3866e+09 Expected 1.39133e+50 Error:
- 1.18973e+4932
1e+50, 0.875, 1.39133e+50
-
- CAUTION:
- Gross error found at entry 7.
Found: -6.3027e+09 Expected 9.34215e+09
- Error: 1.18973e+4932
1e+10, -0.5, 9.34215e+09
CAUTION: Gross error
- found at entry 8.
Found: -6.48129e+09 Expected 7.08861e+19 Error: 1.18973e+4932
- 7.3787e+19, 0.390625, 7.08861e+19
CAUTION: Gross error found at entry
- 9.
Found: -5.13973e+09 Expected 7.1259e+49 Error: 1.18973e+4932
- 9.35361e+49, 0.878906, 7.1259e+49
-
- domain
- error
-4.14952e+180, 0.5, 7.71119e-91
-
- domain
- error
1.125, 10, 0.25, 0.662468
domain error
1.125, 3, 0.25,
- -0.142697
domain error
1.00391, 21.5, 0.125, -0.535406
domain
- error
1, 2, 0.5, -2.87535
domain error
1, -2, 0.5, 2.87535
- domain error
1, 2, 6.22302e-61, -2.18504
domain error
1,
- -2, 6.22302e-61, 2.18504
domain error
20, 3.14257, 0.5, 0.000975941
- domain error
20, -3.14257, 0.5, -0.000975941
domain error
- 1.01562, 1.6958, 0.5, -27.1647
domain error
1.01562, -1.6958, 0.5,
- 27.1647
-
- Argument
- too small in __ellint_rj
-87.1743, 0.126987, 0.167413
Argument
- too small in __ellint_rj
-87.1743, 0.135477, 0.167431
Argument
- too small in __ellint_rj
-87.1743, 0.221034, 0.167683
Argument
- too small in __ellint_rj
-87.1743, 0.308167, 0.168078
Argument
- too small in __ellint_rj
-87.1743, 0.632359, 0.17122
Argument too
- small in __ellint_rj
-87.1743, 0.814724, 0.175341
Argument too
- small in __ellint_rj
-87.1743, 0.835009, 0.176056
Argument too
- small in __ellint_rj
-87.1743, 0.905792, 0.179501
Argument too
- small in __ellint_rj
-87.1743, 0.913376, 0.180014
Argument too
- small in __ellint_rj
-87.1743, 0.968868, 0.186162
Argument too
- small in __ellint_rj
-86.3168, 0.126987, 0.168233
Argument too
- small in __ellint_rj
-86.3168, 0.135477, 0.168252
Argument too
- small in __ellint_rj
-86.3168, 0.221034, 0.168506
Argument too
- small in __ellint_rj
-86.3168, 0.308167, 0.168905
Argument too
- small in __ellint_rj
-86.3168, 0.632359, 0.172077
Argument too
- small in __ellint_rj
-86.3168, 0.814724, 0.176237
Argument too
- small in __ellint_rj
-86.3168, 0.835009, 0.176958
Argument too
- small in __ellint_rj
-86.3168, 0.905792, 0.180437
Argument too
- small in __ellint_rj
-86.3168, 0.913376, 0.180955
Argument too
- small in __ellint_rj
-86.3168, 0.968868, 0.187163
Argument too
- small in __ellint_rj
-77.6756, 0.126987, 0.177238
Argument too
- small in __ellint_rj
-77.6756, 0.135477, 0.177258
Argument too
- small in __ellint_rj
-77.6756, 0.221034, 0.17754
Argument too small
- in __ellint_rj
-77.6756, 0.308167, 0.17798
Argument too small in
- __ellint_rj
-77.6756, 0.632359, 0.181485
Argument too small in
- __ellint_rj
-77.6756, 0.814724, 0.186089
Argument too small in
- __ellint_rj
-77.6756, 0.835009, 0.186888
Argument too small in
- __ellint_rj
-77.6756, 0.905792, 0.190742
Argument too small in
- __ellint_rj
-77.6756, 0.913376, 0.191315
Argument too small in
- __ellint_rj
-77.6756, 0.968868, 0.1982
Argument too small in __ellint_rj
- -68.8751, 0.126987, 0.188077
Argument too small in __ellint_rj
- -68.8751, 0.135477, 0.188099
Argument too small in __ellint_rj
- -68.8751, 0.221034, 0.188414
Argument too small in __ellint_rj
- -68.8751, 0.308167, 0.188907
Argument too small in __ellint_rj
- -68.8751, 0.632359, 0.192834
Argument too small in __ellint_rj
- -68.8751, 0.814724, 0.198
Argument too small in __ellint_rj
-68.8751,
- 0.835009, 0.198896
Argument too small in __ellint_rj
-68.8751,
- 0.905792, 0.203226
Argument too small in __ellint_rj
-68.8751,
- 0.913376, 0.203871
Argument too small in __ellint_rj
-68.8751,
- 0.968868, 0.211615
Argument too small in __ellint_rj
-36.1317,
- 0.126987, 0.258074
Argument too small in __ellint_rj
-36.1317,
- 0.135477, 0.258115
Argument too small in __ellint_rj
-36.1317,
- 0.221034, 0.258686
Argument too small in __ellint_rj
-36.1317,
- 0.308167, 0.259579
Argument too small in __ellint_rj
-36.1317,
- 0.632359, 0.266738
Argument too small in __ellint_rj
-36.1317,
- 0.814724, 0.276242
Argument too small in __ellint_rj
-36.1317,
- 0.835009, 0.2779
Argument too small in __ellint_rj
-36.1317, 0.905792,
- 0.285938
Argument too small in __ellint_rj
-36.1317, 0.913376,
- 0.287139
Argument too small in __ellint_rj
-36.1317, 0.968868,
- 0.301608
Argument too small in __ellint_rj
-17.7129, 0.126987,
- 0.363673
Argument too small in __ellint_rj
-17.7129, 0.135477,
- 0.36375
Argument too small in __ellint_rj
-17.7129, 0.221034, 0.364822
- Argument too small in __ellint_rj
-17.7129, 0.308167, 0.366503
- Argument too small in __ellint_rj
-17.7129, 0.632359, 0.380066
- Argument too small in __ellint_rj
-17.7129, 0.814724, 0.398311
- Argument too small in __ellint_rj
-17.7129, 0.835009, 0.401518
- Argument too small in __ellint_rj
-17.7129, 0.905792, 0.417145
- Argument too small in __ellint_rj
-17.7129, 0.913376, 0.41949
Argument
- too small in __ellint_rj
-17.7129, 0.968868, 0.447893
Argument
- too small in __ellint_rj
-15.6641, 0.126987, 0.385409
Argument
- too small in __ellint_rj
-15.6641, 0.135477, 0.385495
Argument
- too small in __ellint_rj
-15.6641, 0.221034, 0.386686
Argument
- too small in __ellint_rj
-15.6641, 0.308167, 0.388553
Argument
- too small in __ellint_rj
-15.6641, 0.632359, 0.403643
Argument
- too small in __ellint_rj
*** FURTHER CONTENT HAS BEEN TRUNCATED FOR BREVITY
- ***
-
- CAUTION:
- Gross error found at entry 3.
Found: 1.28255 Expected 2.22144 Error:
- 0.732051
0.5, 0, 2.22144
Argument too small in __ellint_rj
- -4, 0.3, 0.712709
Argument too small in __ellint_rj
-100000, -0.5,
- 0.00496945
Argument too small in __ellint_rj
-1e+10, -0.75, 1.5708e-05
- CAUTION: Gross error found at entry 8.
Found: 1.45615 Expected 101.045
- Error: 68.3919
0.999023, -0.875, 101.045
Argument too small in
- __ellint_rj
-4.14952e+180, 0.5, 7.71119e-91
-
- Argument
- too small in __ellint_rj
-88.2952, -8.04919, 0.814724, -0.874724
- Argument too small in __ellint_rj
-88.2952, -7.46026, 0.135477, -0.827189
- Argument too small in __ellint_rj
-88.2952, -7.29046, 0.905792, -0.877476
- Argument too small in __ellint_rj
-88.2952, -6.23236, 0.835009, -0.652152
- Argument too small in __ellint_rj
-88.2952, -5.57932, 0.126987, -0.512276
- Argument too small in __ellint_rj
-88.2952, -4.43004, 0.968868, -0.543324
- Argument too small in __ellint_rj
-88.2952, -3.83666, 0.913376, -0.513389
- Argument too small in __ellint_rj
-88.2952, 0.93763, 0.221034, 0.158243
- Argument too small in __ellint_rj
-88.2952, 0.944412, 0.632359, 0.160101
- Argument too small in __ellint_rj
-88.2952, 2.64719, 0.308167, 0.188127
- Argument too small in __ellint_rj
-88.2952, 6.29447, 0.0975404, 0.676465
- Argument too small in __ellint_rj
-88.2952, 6.70017, 0.547221, 0.817785
- Argument too small in __ellint_rj
-88.2952, 8.11584, 0.278498, 0.837452
- Argument too small in __ellint_rj
-88.2952, 8.26752, 0.188382, 0.837571
- Argument too small in __ellint_rj
-88.2952, 9.15014, 0.546881, 0.885365
- Argument too small in __ellint_rj
-88.2952, 9.29777, 0.992881, 1.06701
- Argument too small in __ellint_rj
-88.2952, 9.3539, 0.957507, 1.03573
- Argument too small in __ellint_rj
-88.2952, 9.37736, 0.996461, 1.13933
- Argument too small in __ellint_rj
-88.2952, 9.85763, 0.964889, 1.24906
- Argument too small in __ellint_rj
-88.2952, 9.92923, 0.967695, 1.25621
- Argument too small in __ellint_rj
-86.8166, -8.04919, 0.157613, -0.841405
- Argument too small in __ellint_rj
-86.8166, -7.46026, 0.725839, -0.859877
- Argument too small in __ellint_rj
-86.8166, -7.29046, 0.970593, -0.914439
- Argument too small in __ellint_rj
-86.8166, -6.23236, 0.98111, -0.710627
- Argument too small in __ellint_rj
-86.8166, -5.57932, 0.957167, -0.58106
- Argument too small in __ellint_rj
-86.8166, -4.43004, 0.109862, -0.499839
- Argument too small in __ellint_rj
-86.8166, -3.83666, 0.485376, -0.494286
- Argument too small in __ellint_rj
-86.8166, 0.93763, 0.798106, 0.162644
- Argument too small in __ellint_rj
-86.8166, 0.944412, 0.80028, 0.16282
- Argument too small in __ellint_rj
-86.8166, 2.64719, 0.297029, 0.18978
- Argument too small in __ellint_rj
-86.8166, 6.29447, 0.141886, 0.682392
- Argument too small in __ellint_rj
-86.8166, 6.70017, 0.00478348, 0.812885
- Argument too small in __ellint_rj
-86.8166, 8.11584, 0.421761, 0.849249
- Argument too small in __ellint_rj
-86.8166, 8.26752, 0.112465, 0.843648
- Argument too small in __ellint_rj
-86.8166, 9.15014, 0.915736, 0.953733
- Argument too small in __ellint_rj
-86.8166, 9.29777, 0.639763, 0.936743
- Argument too small in __ellint_rj
-86.8166, 9.3539, 0.792207, 0.987359
- Argument too small in __ellint_rj
-86.8166, 9.37736, 0.878431, 1.02525
- Argument too small in __ellint_rj
-86.8166, 9.85763, 0.959492, 1.25508
- Argument too small in __ellint_rj
-86.8166, 9.92923, 0.503663, 1.16735
- Argument too small in __ellint_rj
-84.7616, -8.04919, 0.655741, -0.873305
- Argument too small in __ellint_rj
-84.7616, -7.46026, 0.797929, -0.879044
- Argument too small in __ellint_rj
-84.7616, -7.29046, 0.0357117, -0.840785
- Argument too small in __ellint_rj
-84.7616, -6.23236, 0.361294, -0.635502
- Argument too small in __ellint_rj
-84.7616, -5.57932, 0.849129, -0.558231
- Argument too small in __ellint_rj
-84.7616, -4.43004, 0.211924, -0.506533
- Argument too small in __ellint_rj
-84.7616, -3.83666, 0.933993, -0.527681
- Argument too small in __ellint_rj
-84.7616, 0.93763, 0.68136, 0.163458
- Argument too small in __ellint_rj
-84.7616, 0.944412, 0.678735, 0.163582
- Argument too small in __ellint_rj
-84.7616, 2.64719, 0.398739, 0.193458
- Argument too small in __ellint_rj
-84.7616, 6.29447, 0.75774, 0.716086
- Argument too small in __ellint_rj
-84.7616, 6.70017, 0.740647, 0.847849
- Argument too small in __ellint_rj
-84.7616, 8.11584, 0.743132, 0.883827
- Argument too small in __ellint_rj
-84.7616, 8.26752, 0.474759, 0.864181
- Argument too small in __ellint_rj
-84.7616, 9.15014, 0.392227, 0.895646
- Argument too small in __ellint_rj
-84.7616, 9.29777, 0.422088, 0.933423
- Argument too small in __ellint_rj
*** FURTHER CONTENT HAS BEEN TRUNCATED
- FOR BREVITY ***
-
- CAUTION:
- Gross error found at entry 150.
Found: 1.09748 Expected 1.76311 Error:
- 0.606506
0.546881, 1.27977, 0.349984, 1.76311
CAUTION: Gross error
- found at entry 151.
Found: 1.39529 Expected 2.4686 Error: 0.769232
- 0.546881, 1.31163, 0.907365, 2.4686
CAUTION: Gross error found at entry
- 152.
Found: 1.17627 Expected 2.03097 Error: 0.726615
0.546881,
- 1.42281, 0.196595, 2.03097
CAUTION: Gross error found at entry 153.
- Found: 1.47192 Expected 2.76894 Error: 0.881179
0.546881, 1.43473, 0.848468,
- 2.76894
CAUTION: Gross error found at entry 154.
Found: 1.23674
- Expected 2.22733 Error: 0.800966
0.546881, 1.50405, 0.251084, 2.22733
- CAUTION: Gross error found at entry 155.
Found: 1.87704 Expected 3.98415
- Error: 1.12257
0.546881, 1.51564, 0.955018, 3.98415
CAUTION: Gross
- error found at entry 156.
Found: 1.35817 Expected 2.53989 Error: 0.870091
- 0.546881, 1.52005, 0.616045, 2.53989
CAUTION: Gross error found at entry
- 157.
Found: 1.48427 Expected 2.87082 Error: 0.934166
0.546881,
- 1.52189, 0.778898, 2.87082
CAUTION: Gross error found at entry 158.
- Found: 1.32687 Expected 2.48679 Error: 0.874176
0.546881, 1.55961, 0.473289,
- 2.48679
CAUTION: Gross error found at entry 159.
Found: 2.37485
- Expected 5.58805 Error: 1.35301
0.546881, 1.56524, 0.98746, 5.58805
- CAUTION: Gross error found at entry 170.
Found: 1.08889 Expected 1.74565
- Error: 0.603142
0.547221, 1.27977, 0.285839, 1.74565
CAUTION: Gross
- error found at entry 171.
Found: 1.21346 Expected 2.03956 Error: 0.680778
- 0.547221, 1.31163, 0.67982, 2.03956
CAUTION: Gross error found at entry
- 172.
Found: 1.36407 Expected 2.48392 Error: 0.820965
0.547221,
- 1.42281, 0.7572, 2.48392
CAUTION: Gross error found at entry 173.
- Found: 1.21442 Expected 2.12881 Error: 0.752947
0.547221, 1.43473, 0.39232,
- 2.12881
CAUTION: Gross error found at entry 174.
Found: 1.4409
- Expected 2.74399 Error: 0.904352
0.547221, 1.50405, 0.753729, 2.74399
- CAUTION: Gross error found at entry 175.
Found: 1.32796 Expected 2.46156
- Error: 0.853642
0.547221, 1.51564, 0.561557, 2.46156
CAUTION: Gross
- error found at entry 176.
Found: 1.27163 Expected 2.32413 Error: 0.82767
- 0.547221, 1.52005, 0.380446, 2.32413
CAUTION: Gross error found at entry
- 177.
Found: 1.24298 Expected 2.25511 Error: 0.814274
0.547221,
- 1.52189, 0.208068, 2.25511
CAUTION: Gross error found at entry 178.
- Found: 1.36528 Expected 2.58635 Error: 0.894379
0.547221, 1.55961, 0.567822,
- 2.58635
CAUTION: Gross error found at entry 179.
Found: 1.35151
- Expected 2.55463 Error: 0.890206
0.547221, 1.56524, 0.527371, 2.55463
- CAUTION: Gross error found at entry 189.
Found: 1.01047 Expected 1.52344
- Error: 0.507658
0.632359, 0.993308, 0.964966, 1.52344
CAUTION:
- Gross error found at entry 190.
Found: 1.05231 Expected 1.84135 Error:
- 0.749817
0.632359, 1.27977, 0.129906, 1.84135
CAUTION: Gross error
- found at entry 191.
Found: 1.07393 Expected 1.92224 Error: 0.789918
- 0.632359, 1.31163, 0.154438, 1.92224
CAUTION: Gross error found at entry
- 192.
Found: 1.22616 Expected 2.43657 Error: 0.987156
0.632359,
- 1.42281, 0.568824, 2.43657
CAUTION: Gross error found at entry 193.
- Found: 1.18462 Expected 2.33142 Error: 0.968083
0.632359, 1.43473, 0.394908,
- 2.33142
CAUTION: Gross error found at entry 194.
Found: 1.25094
- Expected 2.59169 Error: 1.0718
0.632359, 1.50405, 0.469391, 2.59169
- CAUTION: Gross error found at entry 195.
Found: 1.23693 Expected 2.56158
- Error: 1.07091
0.632359, 1.51564, 0.387296, 2.56158
CAUTION: Gross
- error found at entry 196.
Found: 1.19839 Expected 2.45293 Error: 1.04685
- 0.632359, 1.52005, 0.0119021, 2.45293
CAUTION: Gross error found at entry
- 197.
Found: 1.39415 Expected 3.05228 Error: 1.18935
0.632359, 1.52189,
- 0.726955, 3.05228
CAUTION: Gross error found at entry 198.
Found:
- 1.25489 Expected 2.6569 Error: 1.11723
0.632359, 1.55961, 0.337123, 2.6569
- CAUTION: Gross error found at entry 199.
Found: 1.27021 Expected 2.70857
- Error: 1.13237
0.632359, 1.56524, 0.38857, 2.70857
CAUTION: Gross
- error found at entry 209.
Found: 0.83304 Expected 1.35947 Error: 0.631944
- 0.814724, 0.993308, 0.119547, 1.35947
CAUTION: Gross error found at entry
- 210.
Found: 1.07764 Expected 2.50291 Error: 1.32258
*** FURTHER
- CONTENT HAS BEEN TRUNCATED FOR BREVITY ***
-
- CAUTION:
- Gross error found at entry 0.
Found: -0.809353 Expected -1.55741 Error:
- 0.924263
1, -1, 0, -1.55741
CAUTION: Gross error found at entry
- 11.
Found: 1.07555 Expected 13.2822 Error: 11.3492
0.999023, 1.5,
- 0, 13.2822
CAUTION: Gross error found at entry 13.
Found: -5.86896e+09
- Expected 1.53659e+10 Error: 1.18973e+4932
0.5, 1e+10, 0.5, 1.53659e+10
- Argument too small in __ellint_rj
-100000, 10, 0.75, 0.0347926
- Argument too small in __ellint_rj
-1e+10, 10, 0.875, 0.000109956
- Argument too small in __ellint_rj
-1e+10, 1e+20, 0.875, 1.00001e+15
- Argument too small in __ellint_rj
-1e+10, 1.57031, 0.875, 1.57081e-05
- CAUTION: Gross error found at entry 18.
Found: -6.25413e+09 Expected
- 6.43274e+21 Error: 1.18973e+4932
0.999023, 1e+20, 0.875, 6.43274e+21
- CAUTION: Gross error found at entry 19.
Found: 0.102424 Expected 0.196321
- Error: 0.916748
50, 0.125, 0.25, 0.196321
CAUTION: Gross error
- found at entry 20.
Found: 0.798807 Expected 1.773 Error: 1.21956
- 1.125, 1, 0.25, 1.773
CAUTION: Gross error found at entry 21.
Found:
- 7.07138 Expected 0.662468 Error: 9.6743
1.125, 10, 0.25, 0.662468
- CAUTION: Gross error found at entry 22.
Found: 2.04288 Expected -0.142697
- Error: 1.18973e+4932
1.125, 3, 0.25, -0.142697
CAUTION: Gross error
- found at entry 23.
Found: 1.07762 Expected 22.2699 Error: 19.6659
- 1.00391, 1.5, 0.125, 22.2699
CAUTION: Gross error found at entry 24.
- Found: 15.1275 Expected -0.535406 Error: 1.18973e+4932
1.00391, 21.5,
- 0.125, -0.535406
CAUTION: Gross error found at entry 41.
Found:
- 1.57454 Expected 3.0338 Error: 0.926787
0.5, 2, 0, 3.0338
CAUTION:
- Gross error found at entry 42.
Found: 3.0338 Expected 1.57454 Error:
- 0.926787
-0.5, 2, 0, 1.57454
CAUTION: Gross error found at entry
- 43.
Found: -1.57454 Expected -3.0338 Error: 0.926787
0.5, -2, 0,
- -3.0338
CAUTION: Gross error found at entry 44.
Found: -3.0338
- Expected -1.57454 Error: 0.926787
-0.5, -2, 0, -1.57454
CAUTION:
- Found non-finite result, when a finite value was expected at entry 51
- Found: inf Expected -2.87535 Error: 1.18973e+4932
1, 2, 0.5, -2.87535
- CAUTION: Gross error found at entry 51.
Found: inf Expected -2.87535
- Error: 1.18973e+4932
1, 2, 0.5, -2.87535
CAUTION: Found non-finite
- result, when a finite value was expected at entry 52
Found: -inf Expected
- 2.87535 Error: 1.18973e+4932
1, -2, 0.5, 2.87535
CAUTION: Gross
- error found at entry 52.
Found: -inf Expected 2.87535 Error: 1.18973e+4932
- 1, -2, 0.5, 2.87535
CAUTION: Found non-finite result, when a finite value
- was expected at entry 53
Found: inf Expected -2.18504 Error: 1.18973e+4932
- 1, 2, 6.22302e-61, -2.18504
CAUTION: Gross error found at entry 53.
- Found: inf Expected -2.18504 Error: 1.18973e+4932
1, 2, 6.22302e-61,
- -2.18504
CAUTION: Found non-finite result, when a finite value was expected
- at entry 54
Found: -inf Expected 2.18504 Error: 1.18973e+4932
1,
- -2, 6.22302e-61, 2.18504
CAUTION: Gross error found at entry 54.
- Found: -inf Expected 2.18504 Error: 1.18973e+4932
1, -2, 6.22302e-61,
- 2.18504
CAUTION: Gross error found at entry 57.
Found: 0.703907
- Expected 0.000975941 Error: 720.259
20, 3.14257, 0.5, 0.000975941
- CAUTION: Gross error found at entry 58.
Found: -0.703907 Expected -0.000975941
- Error: 720.259
20, -3.14257, 0.5, -0.000975941
CAUTION: Gross error
- found at entry 59.
Found: 1.24445 Expected -27.1647 Error: 1.18973e+4932
- 1.01562, 1.6958, 0.5, -27.1647
CAUTION: Gross error found at entry 60.
- Found: -1.24445 Expected 27.1647 Error: 1.18973e+4932
1.01562, -1.6958,
- 0.5, 27.1647
-
- Continued
- fraction failed in __expint_En_cont_frac.
-1.30539, -0.134326
-
- underflow
- 1.04761e-05, 39078.2, 0.913384, 95444.4, 0, 1, 0
underflow
1.2158e-05,
- 24110.5, 0.135563, 82239.7, 0, 1, 0
underflow
1.30342e-05, 26168.3,
- 0.127074, 76710.7, 0, 1, 0
underflow
1.51962e-05, 16177.5, 0.814742,
- 65795.4, 0, 1, 0
underflow
1.64873e-05, 470997, 0.127074, 60639.1,
- 0, 1, 0
underflow
1.66259e-05, 147819, 0.632396, 60134.5, 0, 1,
- 0
underflow
1.78638e-05, 439.387, 0.835025, 55972.4, 0, 1, 0
- underflow
2.00434e-05, 482.007, 0.905801, 49885.1, 0, 1, 0
underflow
- 2.05189e-05, 236088, 0.835025, 48722.7, 0, 1, 0
underflow
2.14336e-05,
- 3719.28, 0.814742, 46647, 0, 1, 0
underflow
2.24486e-05, 445071,
- 0.221112, 44532.6, 0, 1, 0
underflow
2.34849e-05, 25542.8, 0.968871,
- 42569.8, 0, 1, 0
underflow
2.39993e-05, 462.946, 0.814742, 41661.1,
- 0, 1, 0
underflow
2.52178e-05, 1832.27, 0.913384, 39646.4, 0, 1,
- 0
underflow
2.87756e-05, 25491.8, 0.905801, 34740.9, 0, 1, 0
- underflow
2.89316e-05, 494.984, 0.968871, 34557.6, 0, 1, 0
underflow
- 3.11413e-05, 348144, 0.308236, 32098.3, 0, 1, 0
underflow
3.12319e-05,
- 33713, 0.221112, 32007.5, 0, 1, 0
underflow
3.19889e-05, 3931.19,
- 0.308236, 31251.9, 0, 1, 0
underflow
3.27129e-05, 3109.49, 0.968871,
- 30560.4, 0, 1, 0
underflow
3.27529e-05, 25796.3, 0.835025, 30520.9,
- 0, 1, 0
underflow
3.34106e-05, 3378.01, 0.221112, 29922, 0, 1,
- 0
underflow
3.40793e-05, 288783, 0.814742, 29330.2, 0, 1, 0
- underflow
3.46418e-05, 411.559, 0.913384, 28860.3, 0, 1, 0
underflow
- 3.61632e-05, 311937, 0.905801, 27639.2, 0, 1, 0
underflow
3.75686e-05,
- 386440, 0.913384, 26604.5, 0, 1, 0
underflow
3.99261e-05, 495352,
- 0.968871, 25032.6, 0, 1, 0
underflow
4.01492e-05, 3246.23, 0.905801,
- 24898.5, 0, 1, 0
underflow
4.0288e-05, 2569.28, 0.835025, 24812.9,
- 0, 1, 0
underflow
4.11667e-05, 24253.8, 0.308236, 24280.8, 0, 1,
- 0
underflow
4.17714e-05, 274447, 0.135563, 23926.7, 0, 1, 0
- underflow
4.66877e-05, 3780.93, 0.632396, 21410.1, 0, 1, 0
underflow
- 4.73604e-05, 48598.7, 0.632396, 21103.3, 0, 1, 0
underflow
0.00013245,
- 251.768, 0.968871, 7543.9, 0, 1, 0
underflow
0.000168283, 195801,
- 0.905801, 5929.61, 0, 1, 0
underflow
0.000177906, 276489, 0.814742,
- 5607.86, 0, 1, 0
underflow
0.000183097, 316055, 0.127074, 5448.36,
- 0, 1, 0
underflow
0.000190369, 159132, 0.835025, 5240.42, 0, 1,
- 0
underflow
0.000191066, 419861, 0.913384, 5220.29, 0, 1, 0
- underflow
0.000192195, 177798, 0.308236, 5190.39, 0, 1, 0
underflow
- 0.000220499, 107380, 0.135563, 4523.03, 0, 1, 0
underflow
0.00022254,
- 1432.25, 0.814742, 4485.74, 0, 1, 0
underflow
0.000240291, 49604.4,
- 0.632396, 4150.25, 0, 1, 0
underflow
0.000251444, 15605.8, 0.135563,
- 3966.81, 0, 1, 0
underflow
0.000274279, 289206, 0.968871, 3632.79,
- 0, 1, 0
underflow
0.000274343, 2954.47, 0.308236, 3636.51, 0, 1,
- 0
underflow
0.000278714, 4023.16, 0.632396, 3579.05, 0, 1, 0
- underflow
0.000288369, 460073, 0.221112, 3454.19, 0, 1, 0
underflow
- 0.000294717, 4642.26, 0.221112, 3384.08, 0, 1, 0
underflow
0.000303403,
- 2574.36, 0.835025, 3287.52, 0, 1, 0
underflow
0.000304309, 4480.75,
- 0.905801, 3277.17, 0, 1, 0
underflow
0.00031313, 47957, 0.308236,
- 3182.22, 0, 1, 0
underflow
0.000320063, 25544.6, 0.905801, 3113.68,
- 0, 1, 0
underflow
0.000334818, 29065.5, 0.968871, 2975.86, 0, 1,
- 0
underflow
0.00034899, 41187.6, 0.913384, 2854.23, 0, 1, 0
- underflow
0.000350247, 426.308, 0.905801, 2848.5, 0, 1, 0
underflow
- 0.000357727, 31752.2, 0.127074, 2784.5, 0, 1, 0
underflow
0.000412091,
- 367.714, 0.913384, 2420.17, 0, 1, 0
underflow
0.000417933, 4668.47,
- 0.968871, 2383.72, 0, 1, 0
underflow
0.000424632, 17994.9, 0.221112,
- 2344.63, 0, 1, 0
underflow
0.000427051, 2443.44, 0.913384, 2333.28,
- 0, 1, 0
underflow
0.000437724, 454399, 0.632396, 2270.98, 0, 1,
- 0
underflow
0.000450377, 10660.8, 0.835025, 2210.53, 0, 1, 0
- underflow
0.000475601, 19603, 0.814742, 2092.17, 0, 1, 0
underflow
- 0.00116972, 4487.22, 0.221112, 845.964, 0, 1, 0
underflow
0.00124188,
- 211066, 0.632396, 792.493, 0, 1, 0
underflow
0.00128578, 4738.41,
- 0.308236, 768.75, 0, 1, 0
underflow
0.00133388, 46277.8, 0.913384,
- 738.46, 0, 1, 0
underflow
0.00138692, 2158.76, 0.814742, 712.816,
- 0, 1, 0
underflow
0.00153268, 13060.2, 0.968871, 642.474, 0, 1,
- 0
underflow
0.00159946, 1780.43, 0.968871, 617.202, 0, 1, 0
- *** FURTHER CONTENT HAS BEEN TRUNCATED FOR BREVITY ***
-
- |m|
- > 1.0
-4.0246, 1, -0.999361, 0.0357365, 0.0357231
|m| > 1.0
- -4.0246, 1, -0.999361, 0.0357497, 0.0357097
|m| > 1.0
-4.0246,
- 1, -0.99936, 0.0357762, 0.0356829
|m| > 1.0
-4.0246, 1, -0.999359,
- 0.0357895, 0.0356695
|m| > 1.0
-4.0246, 1.00001, -0.999354,
- 0.0359354, 0.0355222
|m| > 1.0
-4.0246, 1.00003, -0.999347,
- 0.0361343, 0.0353212
|m| > 1.0
-4.0246, 1.00004, -0.999343,
- 0.036247, 0.0352073
|m| > 1.0
-4.0246, 1.0001, -0.999311, 0.0371157,
- 0.0343296
|m| > 1.0
-4.0246, 1.00016, -0.99928, 0.0379513, 0.0334851
- |m| > 1.0
-4.0246, 1.00027, -0.999221, 0.0394571, 0.0319634
- |m| > 1.0
-4.0246, 1.00076, -0.99893, 0.0462407, 0.0251046
|m|
- > 1.0
-4.0246, 1.00125, -0.998589, 0.0531109, 0.0181532
|m|
- > 1.0
-4.0246, 1.00232, -0.99768, 0.0680761, 0.0029944
|m| >
- 1.0
-4.0246, 1.00604, -0.992752, 0.120179, -0.049966
|m| > 1.0
- -4.0246, 1.01557, -0.967356, 0.25342, -0.186698
|m| > 1.0
-4.0246,
- 1.03059, -0.890373, 0.455232, -0.397492
|m| > 1.0
-4.0246, 1.06239,
- -0.607191, 0.794556, -0.76412
|m| > 1.0
-3.73013, 1, -0.998849,
- 0.0479567, 0.0479467
|m| > 1.0
-3.73013, 1, -0.998849, 0.0479665,
- 0.0479367
|m| > 1.0
-3.73013, 1, -0.998848, 0.0479862, 0.0479167
- |m| > 1.0
-3.73013, 1, -0.998848, 0.047996, 0.0479067
|m| >
- 1.0
-3.73013, 1.00001, -0.998842, 0.0481042, 0.0477966
|m| >
- 1.0
-3.73013, 1.00003, -0.998835, 0.0482517, 0.0476465
|m| >
- 1.0
-3.73013, 1.00004, -0.998831, 0.0483354, 0.0475615
|m| >
- 1.0
-3.73013, 1.0001, -0.9988, 0.0489797, 0.0469059
|m| > 1.0
- -3.73013, 1.00016, -0.998769, 0.0495995, 0.0462752
|m| > 1.0
- -3.73013, 1.00027, -0.998713, 0.0507164, 0.0451386
|m| > 1.0
- -3.73013, 1.00076, -0.998445, 0.0557477, 0.0400164
|m| > 1.0
- -3.73013, 1.00125, -0.998147, 0.0608429, 0.0348257
|m| > 1.0
- -3.73013, 1.00232, -0.997409, 0.0719406, 0.0235071
|m| > 1.0
- -3.73013, 1.00604, -0.993866, 0.110593, -0.016048
|m| > 1.0
- -3.73013, 1.01557, -0.977708, 0.209971, -0.118704
|m| > 1.0
- -3.73013, 1.03059, -0.931162, 0.364606, -0.281224
|m| > 1.0
- -3.73013, 1.06239, -0.753495, 0.657453, -0.599326
|m| > 1.0
- -3.64523, 1, -0.998637, 0.0521997, 0.0521906
|m| > 1.0
-3.64523,
- 1, -0.998636, 0.0522087, 0.0521814
|m| > 1.0
-3.64523, 1, -0.998635,
- 0.0522268, 0.052163
|m| > 1.0
-3.64523, 1, -0.998635, 0.0522358,
- 0.0521538
|m| > 1.0
-3.64523, 1.00001, -0.99863, 0.052335, 0.0520526
- |m| > 1.0
-3.64523, 1.00003, -0.998622, 0.0524703, 0.0519145
- |m| > 1.0
-3.64523, 1.00004, -0.998618, 0.052547, 0.0518363
- |m| > 1.0
-3.64523, 1.0001, -0.998587, 0.0531379, 0.0512335
- |m| > 1.0
-3.64523, 1.00016, -0.998557, 0.0537063, 0.0506536
- |m| > 1.0
-3.64523, 1.00027, -0.998501, 0.0547305, 0.0496084
- |m| > 1.0
-3.64523, 1.00076, -0.998238, 0.0593443, 0.0448986
- |m| > 1.0
-3.64523, 1.00125, -0.997949, 0.0640165, 0.0401258
- |m| > 1.0
-3.64523, 1.00232, -0.997244, 0.0741927, 0.0297191
- |m| > 1.0
-3.64523, 1.00604, -0.993972, 0.109636, -0.00664888
- |m| > 1.0
-3.64523, 1.01557, -0.979623, 0.200844, -0.101111
- |m| > 1.0
-3.64523, 1.03059, -0.939163, 0.343472, -0.251382
- |m| > 1.0
-3.64523, 1.06239, -0.784719, 0.619852, -0.552253
- |m| > 1.0
-3.11618, 1, -0.996078, 0.0884811, 0.0884757
|m| >
- 1.0
-3.11618, 1, -0.996077, 0.0884863, 0.0884702
|m| > 1.0
- -3.11618, 1, -0.996076, 0.0884967, 0.0884593
|m| > 1.0
-3.11618,
- 1, -0.996076, 0.0885019, 0.0884538
|m| > 1.0
-3.11618, 1.00001,
- -0.996071, 0.0885593, 0.0883936
|m| > 1.0
-3.11618, 1.00003,
- -0.996064, 0.0886376, 0.0883114
|m| > 1.0
-3.11618, 1.00004,
- -0.99606, 0.0886819, 0.0882648
|m| > 1.0
-3.11618, 1.0001, -0.99603,
- 0.0890236, 0.0879059
|m| > 1.0
-3.11618, 1.00016, -0.996, 0.0893523,
- 0.0875607
|m| > 1.0
-3.11618, 1.00027, -0.995947, 0.0899445,
- 0.0869386
|m| > 1.0
-3.11618, 1.00076, -0.995702, 0.092612,
- 0.0841353
|m| > 1.0
-3.11618, 1.00125, -0.995447, 0.0953126,
- 0.0812953
|m| > 1.0
-3.11618, 1.00232, -0.994867, 0.101193,
- 0.0751049
|m| > 1.0
-3.11618, 1.00604, -0.992571, 0.121667,
- 0.0534858
|m| > 1.0
-3.11618, 1.01557, -0.984666, 0.174451,
- -0.00273723
|m| > 1.0
-3.11618, 1.03059, -0.966077, 0.258253,
- -0.0934336
|m| > 1.0
-3.11618, 1.06239, -0.901067, 0.433681,
- -0.289151
|m| > 1.0
-2.78966, 1, -0.992478, 0.122424, 0.12242
- |m| > 1.0
-2.78966, 1, -0.992477, 0.122428, 0.122416
*** FURTHER
- CONTENT HAS BEEN TRUNCATED FOR BREVITY ***
-
- |m|
- > 1.0
-4.0246, 1, -0.999361, 0.0357365, 0.0357231
|m| > 1.0
- -4.0246, 1, -0.999361, 0.0357497, 0.0357097
|m| > 1.0
-4.0246,
- 1, -0.99936, 0.0357762, 0.0356829
|m| > 1.0
-4.0246, 1, -0.999359,
- 0.0357895, 0.0356695
|m| > 1.0
-4.0246, 1.00001, -0.999354,
- 0.0359354, 0.0355222
|m| > 1.0
-4.0246, 1.00003, -0.999347,
- 0.0361343, 0.0353212
|m| > 1.0
-4.0246, 1.00004, -0.999343,
- 0.036247, 0.0352073
|m| > 1.0
-4.0246, 1.0001, -0.999311, 0.0371157,
- 0.0343296
|m| > 1.0
-4.0246, 1.00016, -0.99928, 0.0379513, 0.0334851
- |m| > 1.0
-4.0246, 1.00027, -0.999221, 0.0394571, 0.0319634
- |m| > 1.0
-4.0246, 1.00076, -0.99893, 0.0462407, 0.0251046
|m|
- > 1.0
-4.0246, 1.00125, -0.998589, 0.0531109, 0.0181532
|m|
- > 1.0
-4.0246, 1.00232, -0.99768, 0.0680761, 0.0029944
|m| >
- 1.0
-4.0246, 1.00604, -0.992752, 0.120179, -0.049966
|m| > 1.0
- -4.0246, 1.01557, -0.967356, 0.25342, -0.186698
|m| > 1.0
-4.0246,
- 1.03059, -0.890373, 0.455232, -0.397492
|m| > 1.0
-4.0246, 1.06239,
- -0.607191, 0.794556, -0.76412
|m| > 1.0
-3.73013, 1, -0.998849,
- 0.0479567, 0.0479467
|m| > 1.0
-3.73013, 1, -0.998849, 0.0479665,
- 0.0479367
|m| > 1.0
-3.73013, 1, -0.998848, 0.0479862, 0.0479167
- |m| > 1.0
-3.73013, 1, -0.998848, 0.047996, 0.0479067
|m| >
- 1.0
-3.73013, 1.00001, -0.998842, 0.0481042, 0.0477966
|m| >
- 1.0
-3.73013, 1.00003, -0.998835, 0.0482517, 0.0476465
|m| >
- 1.0
-3.73013, 1.00004, -0.998831, 0.0483354, 0.0475615
|m| >
- 1.0
-3.73013, 1.0001, -0.9988, 0.0489797, 0.0469059
|m| > 1.0
- -3.73013, 1.00016, -0.998769, 0.0495995, 0.0462752
|m| > 1.0
- -3.73013, 1.00027, -0.998713, 0.0507164, 0.0451386
|m| > 1.0
- -3.73013, 1.00076, -0.998445, 0.0557477, 0.0400164
|m| > 1.0
- -3.73013, 1.00125, -0.998147, 0.0608429, 0.0348257
|m| > 1.0
- -3.73013, 1.00232, -0.997409, 0.0719406, 0.0235071
|m| > 1.0
- -3.73013, 1.00604, -0.993866, 0.110593, -0.016048
|m| > 1.0
- -3.73013, 1.01557, -0.977708, 0.209971, -0.118704
|m| > 1.0
- -3.73013, 1.03059, -0.931162, 0.364606, -0.281224
|m| > 1.0
- -3.73013, 1.06239, -0.753495, 0.657453, -0.599326
|m| > 1.0
- -3.64523, 1, -0.998637, 0.0521997, 0.0521906
|m| > 1.0
-3.64523,
- 1, -0.998636, 0.0522087, 0.0521814
|m| > 1.0
-3.64523, 1, -0.998635,
- 0.0522268, 0.052163
|m| > 1.0
-3.64523, 1, -0.998635, 0.0522358,
- 0.0521538
|m| > 1.0
-3.64523, 1.00001, -0.99863, 0.052335, 0.0520526
- |m| > 1.0
-3.64523, 1.00003, -0.998622, 0.0524703, 0.0519145
- |m| > 1.0
-3.64523, 1.00004, -0.998618, 0.052547, 0.0518363
- |m| > 1.0
-3.64523, 1.0001, -0.998587, 0.0531379, 0.0512335
- |m| > 1.0
-3.64523, 1.00016, -0.998557, 0.0537063, 0.0506536
- |m| > 1.0
-3.64523, 1.00027, -0.998501, 0.0547305, 0.0496084
- |m| > 1.0
-3.64523, 1.00076, -0.998238, 0.0593443, 0.0448986
- |m| > 1.0
-3.64523, 1.00125, -0.997949, 0.0640165, 0.0401258
- |m| > 1.0
-3.64523, 1.00232, -0.997244, 0.0741927, 0.0297191
- |m| > 1.0
-3.64523, 1.00604, -0.993972, 0.109636, -0.00664888
- |m| > 1.0
-3.64523, 1.01557, -0.979623, 0.200844, -0.101111
- |m| > 1.0
-3.64523, 1.03059, -0.939163, 0.343472, -0.251382
- |m| > 1.0
-3.64523, 1.06239, -0.784719, 0.619852, -0.552253
- |m| > 1.0
-3.11618, 1, -0.996078, 0.0884811, 0.0884757
|m| >
- 1.0
-3.11618, 1, -0.996077, 0.0884863, 0.0884702
|m| > 1.0
- -3.11618, 1, -0.996076, 0.0884967, 0.0884593
|m| > 1.0
-3.11618,
- 1, -0.996076, 0.0885019, 0.0884538
|m| > 1.0
-3.11618, 1.00001,
- -0.996071, 0.0885593, 0.0883936
|m| > 1.0
-3.11618, 1.00003,
- -0.996064, 0.0886376, 0.0883114
|m| > 1.0
-3.11618, 1.00004,
- -0.99606, 0.0886819, 0.0882648
|m| > 1.0
-3.11618, 1.0001, -0.99603,
- 0.0890236, 0.0879059
|m| > 1.0
-3.11618, 1.00016, -0.996, 0.0893523,
- 0.0875607
|m| > 1.0
-3.11618, 1.00027, -0.995947, 0.0899445,
- 0.0869386
|m| > 1.0
-3.11618, 1.00076, -0.995702, 0.092612,
- 0.0841353
|m| > 1.0
-3.11618, 1.00125, -0.995447, 0.0953126,
- 0.0812953
|m| > 1.0
-3.11618, 1.00232, -0.994867, 0.101193,
- 0.0751049
|m| > 1.0
-3.11618, 1.00604, -0.992571, 0.121667,
- 0.0534858
|m| > 1.0
-3.11618, 1.01557, -0.984666, 0.174451,
- -0.00273723
|m| > 1.0
-3.11618, 1.03059, -0.966077, 0.258253,
- -0.0934336
|m| > 1.0
-3.11618, 1.06239, -0.901067, 0.433681,
- -0.289151
|m| > 1.0
-2.78966, 1, -0.992478, 0.122424, 0.12242
- |m| > 1.0
-2.78966, 1, -0.992477, 0.122428, 0.122416
*** FURTHER
- CONTENT HAS BEEN TRUNCATED FOR BREVITY ***
-
- |m|
- > 1.0
-4.0246, 1, -0.999361, 0.0357365, 0.0357231
|m| > 1.0
- -4.0246, 1, -0.999361, 0.0357497, 0.0357097
|m| > 1.0
-4.0246,
- 1, -0.99936, 0.0357762, 0.0356829
|m| > 1.0
-4.0246, 1, -0.999359,
- 0.0357895, 0.0356695
|m| > 1.0
-4.0246, 1.00001, -0.999354,
- 0.0359354, 0.0355222
|m| > 1.0
-4.0246, 1.00003, -0.999347,
- 0.0361343, 0.0353212
|m| > 1.0
-4.0246, 1.00004, -0.999343,
- 0.036247, 0.0352073
|m| > 1.0
-4.0246, 1.0001, -0.999311, 0.0371157,
- 0.0343296
|m| > 1.0
-4.0246, 1.00016, -0.99928, 0.0379513, 0.0334851
- |m| > 1.0
-4.0246, 1.00027, -0.999221, 0.0394571, 0.0319634
- |m| > 1.0
-4.0246, 1.00076, -0.99893, 0.0462407, 0.0251046
|m|
- > 1.0
-4.0246, 1.00125, -0.998589, 0.0531109, 0.0181532
|m|
- > 1.0
-4.0246, 1.00232, -0.99768, 0.0680761, 0.0029944
|m| >
- 1.0
-4.0246, 1.00604, -0.992752, 0.120179, -0.049966
|m| > 1.0
- -4.0246, 1.01557, -0.967356, 0.25342, -0.186698
|m| > 1.0
-4.0246,
- 1.03059, -0.890373, 0.455232, -0.397492
|m| > 1.0
-4.0246, 1.06239,
- -0.607191, 0.794556, -0.76412
|m| > 1.0
-3.73013, 1, -0.998849,
- 0.0479567, 0.0479467
|m| > 1.0
-3.73013, 1, -0.998849, 0.0479665,
- 0.0479367
|m| > 1.0
-3.73013, 1, -0.998848, 0.0479862, 0.0479167
- |m| > 1.0
-3.73013, 1, -0.998848, 0.047996, 0.0479067
|m| >
- 1.0
-3.73013, 1.00001, -0.998842, 0.0481042, 0.0477966
|m| >
- 1.0
-3.73013, 1.00003, -0.998835, 0.0482517, 0.0476465
|m| >
- 1.0
-3.73013, 1.00004, -0.998831, 0.0483354, 0.0475615
|m| >
- 1.0
-3.73013, 1.0001, -0.9988, 0.0489797, 0.0469059
|m| > 1.0
- -3.73013, 1.00016, -0.998769, 0.0495995, 0.0462752
|m| > 1.0
- -3.73013, 1.00027, -0.998713, 0.0507164, 0.0451386
|m| > 1.0
- -3.73013, 1.00076, -0.998445, 0.0557477, 0.0400164
|m| > 1.0
- -3.73013, 1.00125, -0.998147, 0.0608429, 0.0348257
|m| > 1.0
- -3.73013, 1.00232, -0.997409, 0.0719406, 0.0235071
|m| > 1.0
- -3.73013, 1.00604, -0.993866, 0.110593, -0.016048
|m| > 1.0
- -3.73013, 1.01557, -0.977708, 0.209971, -0.118704
|m| > 1.0
- -3.73013, 1.03059, -0.931162, 0.364606, -0.281224
|m| > 1.0
- -3.73013, 1.06239, -0.753495, 0.657453, -0.599326
|m| > 1.0
- -3.64523, 1, -0.998637, 0.0521997, 0.0521906
|m| > 1.0
-3.64523,
- 1, -0.998636, 0.0522087, 0.0521814
|m| > 1.0
-3.64523, 1, -0.998635,
- 0.0522268, 0.052163
|m| > 1.0
-3.64523, 1, -0.998635, 0.0522358,
- 0.0521538
|m| > 1.0
-3.64523, 1.00001, -0.99863, 0.052335, 0.0520526
- |m| > 1.0
-3.64523, 1.00003, -0.998622, 0.0524703, 0.0519145
- |m| > 1.0
-3.64523, 1.00004, -0.998618, 0.052547, 0.0518363
- |m| > 1.0
-3.64523, 1.0001, -0.998587, 0.0531379, 0.0512335
- |m| > 1.0
-3.64523, 1.00016, -0.998557, 0.0537063, 0.0506536
- |m| > 1.0
-3.64523, 1.00027, -0.998501, 0.0547305, 0.0496084
- |m| > 1.0
-3.64523, 1.00076, -0.998238, 0.0593443, 0.0448986
- |m| > 1.0
-3.64523, 1.00125, -0.997949, 0.0640165, 0.0401258
- |m| > 1.0
-3.64523, 1.00232, -0.997244, 0.0741927, 0.0297191
- |m| > 1.0
-3.64523, 1.00604, -0.993972, 0.109636, -0.00664888
- |m| > 1.0
-3.64523, 1.01557, -0.979623, 0.200844, -0.101111
- |m| > 1.0
-3.64523, 1.03059, -0.939163, 0.343472, -0.251382
- |m| > 1.0
-3.64523, 1.06239, -0.784719, 0.619852, -0.552253
- |m| > 1.0
-3.11618, 1, -0.996078, 0.0884811, 0.0884757
|m| >
- 1.0
-3.11618, 1, -0.996077, 0.0884863, 0.0884702
|m| > 1.0
- -3.11618, 1, -0.996076, 0.0884967, 0.0884593
|m| > 1.0
-3.11618,
- 1, -0.996076, 0.0885019, 0.0884538
|m| > 1.0
-3.11618, 1.00001,
- -0.996071, 0.0885593, 0.0883936
|m| > 1.0
-3.11618, 1.00003,
- -0.996064, 0.0886376, 0.0883114
|m| > 1.0
-3.11618, 1.00004,
- -0.99606, 0.0886819, 0.0882648
|m| > 1.0
-3.11618, 1.0001, -0.99603,
- 0.0890236, 0.0879059
|m| > 1.0
-3.11618, 1.00016, -0.996, 0.0893523,
- 0.0875607
|m| > 1.0
-3.11618, 1.00027, -0.995947, 0.0899445,
- 0.0869386
|m| > 1.0
-3.11618, 1.00076, -0.995702, 0.092612,
- 0.0841353
|m| > 1.0
-3.11618, 1.00125, -0.995447, 0.0953126,
- 0.0812953
|m| > 1.0
-3.11618, 1.00232, -0.994867, 0.101193,
- 0.0751049
|m| > 1.0
-3.11618, 1.00604, -0.992571, 0.121667,
- 0.0534858
|m| > 1.0
-3.11618, 1.01557, -0.984666, 0.174451,
- -0.00273723
|m| > 1.0
-3.11618, 1.03059, -0.966077, 0.258253,
- -0.0934336
|m| > 1.0
-3.11618, 1.06239, -0.901067, 0.433681,
- -0.289151
|m| > 1.0
-2.78966, 1, -0.992478, 0.122424, 0.12242
- |m| > 1.0
-2.78966, 1, -0.992477, 0.122428, 0.122416
*** FURTHER
- CONTENT HAS BEEN TRUNCATED FOR BREVITY ***
-
- |m|
- > 1.0
1.65048e-12, 1.65574, 1.65048e-12, 1, 1
|m| > 1.0
- 2.06542e-12, 1.65574, 2.06542e-12, 1, 1
|m| > 1.0
6.93323e-12,
- 1.65574, 6.93323e-12, 1, 1
|m| > 1.0
1.33514e-11, 1.65574, 1.33514e-11,
- 1, 1
|m| > 1.0
1.63998e-11, 1.65574, 1.63998e-11, 1, 1
- |m| > 1.0
5.73016e-11, 1.65574, 5.73016e-11, 1, 1
|m| > 1.0
- 1.11373e-10, 1.65574, 1.11373e-10, 1, 1
|m| > 1.0
1.42147e-10,
- 1.65574, 1.42147e-10, 1, 1
|m| > 1.0
3.80063e-10, 1.65574, 3.80063e-10,
- 1, 1
|m| > 1.0
6.09163e-10, 1.65574, 6.09163e-10, 1, 1
- |m| > 1.0
1.02216e-09, 1.65574, 1.02216e-09, 1, 1
|m| > 1.0
- 2.88192e-09, 1.65574, 2.88192e-09, 1, 1
|m| > 1.0
4.76278e-09,
- 1.65574, 4.76278e-09, 1, 1
|m| > 1.0
8.85413e-09, 1.65574, 8.85413e-09,
- 1, 1
|m| > 1.0
2.30503e-08, 1.65574, 2.30503e-08, 1, 1
- |m| > 1.0
5.93925e-08, 1.65574, 5.93925e-08, 1, 1
|m| > 1.0
- 1.16676e-07, 1.65574, 1.16676e-07, 1, 1
|m| > 1.0
2.37997e-07,
- 1.65574, 2.37997e-07, 1, 1
|m| > 1.0
4.68466e-07, 1.65574, 4.68466e-07,
- 1, 1
|m| > 1.0
9.3827e-07, 1.65574, 9.3827e-07, 1, 1
|m|
- > 1.0
1.10399e-06, 1.65574, 1.10399e-06, 1, 1
|m| > 1.0
- 3.29178e-06, 1.65574, 3.29178e-06, 1, 1
|m| > 1.0
7.51721e-06,
- 1.65574, 7.51721e-06, 1, 1
|m| > 1.0
1.51147e-05, 1.65574, 1.51147e-05,
- 1, 1
|m| > 1.0
2.9864e-05, 1.65574, 2.9864e-05, 1, 1
|m|
- > 1.0
3.38703e-05, 1.65574, 3.38703e-05, 1, 1
|m| > 1.0
- 9.06601e-05, 1.65574, 9.06601e-05, 1, 1
|m| > 1.0
0.000219495,
- 1.65574, 0.000219495, 1, 1
|m| > 1.0
0.000439522, 1.65574, 0.000439521,
- 1, 1
|m| > 1.0
0.000633315, 1.65574, 0.000633315, 1, 0.999999
- |m| > 1.0
0.00111512, 1.65574, 0.00111512, 0.999999, 0.999998
- |m| > 1.0
0.00196247, 1.65574, 0.00196246, 0.999998, 0.999995
- |m| > 1.0
0.00555375, 1.65574, 0.00555365, 0.999985, 0.999958
- |m| > 1.0
0.00869113, 1.65574, 0.00869072, 0.999962, 0.999896
- |m| > 1.0
0.0299334, 1.65574, 0.0299166, 0.999552, 0.998772
- |m| > 1.0
0.0512426, 1.65574, 0.0511588, 0.998691, 0.996406
- |m| > 1.0
0.112013, 1.65574, 0.111143, 0.993804, 0.982922
|m|
- > 1.0
0.234804, 1.65574, 0.227, 0.973895, 0.926679
|m| >
- 1.0
0.489873, 1.65574, 0.425971, 0.904737, 0.708912
|m| > 1.0
- 0.751831, 1.65574, 0.553446, 0.832885, 0.400346
|m| > 1.0
1.65574,
- 1.65574, 0.408154, 0.912913, -0.737088
-
- |m|
- > 1.0
1.65048e-12, 1.65574, 1.65048e-12, 1, 1
|m| > 1.0
- 2.06542e-12, 1.65574, 2.06542e-12, 1, 1
|m| > 1.0
6.93323e-12,
- 1.65574, 6.93323e-12, 1, 1
|m| > 1.0
1.33514e-11, 1.65574, 1.33514e-11,
- 1, 1
|m| > 1.0
1.63998e-11, 1.65574, 1.63998e-11, 1, 1
- |m| > 1.0
5.73016e-11, 1.65574, 5.73016e-11, 1, 1
|m| > 1.0
- 1.11373e-10, 1.65574, 1.11373e-10, 1, 1
|m| > 1.0
1.42147e-10,
- 1.65574, 1.42147e-10, 1, 1
|m| > 1.0
3.80063e-10, 1.65574, 3.80063e-10,
- 1, 1
|m| > 1.0
6.09163e-10, 1.65574, 6.09163e-10, 1, 1
- |m| > 1.0
1.02216e-09, 1.65574, 1.02216e-09, 1, 1
|m| > 1.0
- 2.88192e-09, 1.65574, 2.88192e-09, 1, 1
|m| > 1.0
4.76278e-09,
- 1.65574, 4.76278e-09, 1, 1
|m| > 1.0
8.85413e-09, 1.65574, 8.85413e-09,
- 1, 1
|m| > 1.0
2.30503e-08, 1.65574, 2.30503e-08, 1, 1
- |m| > 1.0
5.93925e-08, 1.65574, 5.93925e-08, 1, 1
|m| > 1.0
- 1.16676e-07, 1.65574, 1.16676e-07, 1, 1
|m| > 1.0
2.37997e-07,
- 1.65574, 2.37997e-07, 1, 1
|m| > 1.0
4.68466e-07, 1.65574, 4.68466e-07,
- 1, 1
|m| > 1.0
9.3827e-07, 1.65574, 9.3827e-07, 1, 1
|m|
- > 1.0
1.10399e-06, 1.65574, 1.10399e-06, 1, 1
|m| > 1.0
- 3.29178e-06, 1.65574, 3.29178e-06, 1, 1
|m| > 1.0
7.51721e-06,
- 1.65574, 7.51721e-06, 1, 1
|m| > 1.0
1.51147e-05, 1.65574, 1.51147e-05,
- 1, 1
|m| > 1.0
2.9864e-05, 1.65574, 2.9864e-05, 1, 1
|m|
- > 1.0
3.38703e-05, 1.65574, 3.38703e-05, 1, 1
|m| > 1.0
- 9.06601e-05, 1.65574, 9.06601e-05, 1, 1
|m| > 1.0
0.000219495,
- 1.65574, 0.000219495, 1, 1
|m| > 1.0
0.000439522, 1.65574, 0.000439521,
- 1, 1
|m| > 1.0
0.000633315, 1.65574, 0.000633315, 1, 0.999999
- |m| > 1.0
0.00111512, 1.65574, 0.00111512, 0.999999, 0.999998
- |m| > 1.0
0.00196247, 1.65574, 0.00196246, 0.999998, 0.999995
- |m| > 1.0
0.00555375, 1.65574, 0.00555365, 0.999985, 0.999958
- |m| > 1.0
0.00869113, 1.65574, 0.00869072, 0.999962, 0.999896
- |m| > 1.0
0.0299334, 1.65574, 0.0299166, 0.999552, 0.998772
- |m| > 1.0
0.0512426, 1.65574, 0.0511588, 0.998691, 0.996406
- |m| > 1.0
0.112013, 1.65574, 0.111143, 0.993804, 0.982922
|m|
- > 1.0
0.234804, 1.65574, 0.227, 0.973895, 0.926679
|m| >
- 1.0
0.489873, 1.65574, 0.425971, 0.904737, 0.708912
|m| > 1.0
- 0.751831, 1.65574, 0.553446, 0.832885, 0.400346
|m| > 1.0
1.65574,
- 1.65574, 0.408154, 0.912913, -0.737088
-
- |m|
- > 1.0
1.65048e-12, 1.65574, 1.65048e-12, 1, 1
|m| > 1.0
- 2.06542e-12, 1.65574, 2.06542e-12, 1, 1
|m| > 1.0
6.93323e-12,
- 1.65574, 6.93323e-12, 1, 1
|m| > 1.0
1.33514e-11, 1.65574, 1.33514e-11,
- 1, 1
|m| > 1.0
1.63998e-11, 1.65574, 1.63998e-11, 1, 1
- |m| > 1.0
5.73016e-11, 1.65574, 5.73016e-11, 1, 1
|m| > 1.0
- 1.11373e-10, 1.65574, 1.11373e-10, 1, 1
|m| > 1.0
1.42147e-10,
- 1.65574, 1.42147e-10, 1, 1
|m| > 1.0
3.80063e-10, 1.65574, 3.80063e-10,
- 1, 1
|m| > 1.0
6.09163e-10, 1.65574, 6.09163e-10, 1, 1
- |m| > 1.0
1.02216e-09, 1.65574, 1.02216e-09, 1, 1
|m| > 1.0
- 2.88192e-09, 1.65574, 2.88192e-09, 1, 1
|m| > 1.0
4.76278e-09,
- 1.65574, 4.76278e-09, 1, 1
|m| > 1.0
8.85413e-09, 1.65574, 8.85413e-09,
- 1, 1
|m| > 1.0
2.30503e-08, 1.65574, 2.30503e-08, 1, 1
- |m| > 1.0
5.93925e-08, 1.65574, 5.93925e-08, 1, 1
|m| > 1.0
- 1.16676e-07, 1.65574, 1.16676e-07, 1, 1
|m| > 1.0
2.37997e-07,
- 1.65574, 2.37997e-07, 1, 1
|m| > 1.0
4.68466e-07, 1.65574, 4.68466e-07,
- 1, 1
|m| > 1.0
9.3827e-07, 1.65574, 9.3827e-07, 1, 1
|m|
- > 1.0
1.10399e-06, 1.65574, 1.10399e-06, 1, 1
|m| > 1.0
- 3.29178e-06, 1.65574, 3.29178e-06, 1, 1
|m| > 1.0
7.51721e-06,
- 1.65574, 7.51721e-06, 1, 1
|m| > 1.0
1.51147e-05, 1.65574, 1.51147e-05,
- 1, 1
|m| > 1.0
2.9864e-05, 1.65574, 2.9864e-05, 1, 1
|m|
- > 1.0
3.38703e-05, 1.65574, 3.38703e-05, 1, 1
|m| > 1.0
- 9.06601e-05, 1.65574, 9.06601e-05, 1, 1
|m| > 1.0
0.000219495,
- 1.65574, 0.000219495, 1, 1
|m| > 1.0
0.000439522, 1.65574, 0.000439521,
- 1, 1
|m| > 1.0
0.000633315, 1.65574, 0.000633315, 1, 0.999999
- |m| > 1.0
0.00111512, 1.65574, 0.00111512, 0.999999, 0.999998
- |m| > 1.0
0.00196247, 1.65574, 0.00196246, 0.999998, 0.999995
- |m| > 1.0
0.00555375, 1.65574, 0.00555365, 0.999985, 0.999958
- |m| > 1.0
0.00869113, 1.65574, 0.00869072, 0.999962, 0.999896
- |m| > 1.0
0.0299334, 1.65574, 0.0299166, 0.999552, 0.998772
- |m| > 1.0
0.0512426, 1.65574, 0.0511588, 0.998691, 0.996406
- |m| > 1.0
0.112013, 1.65574, 0.111143, 0.993804, 0.982922
|m|
- > 1.0
0.234804, 1.65574, 0.227, 0.973895, 0.926679
|m| >
- 1.0
0.489873, 1.65574, 0.425971, 0.904737, 0.708912
|m| > 1.0
- 0.751831, 1.65574, 0.553446, 0.832885, 0.400346
|m| > 1.0
1.65574,
- 1.65574, 0.408154, 0.912913, -0.737088
-
- |m|
- > 1.0
2.98023e-08, 1.5, 2.98023e-08, 1, 1
|m| > 1.0
- -2.98023e-08, 1.5, -2.98023e-08, 1, 1
|m| > 1.0
0.25, 1.5, 0.24183,
- 0.970319, 0.931888
|m| > 1.0
-0.25, 1.5, -0.24183, 0.970319,
- 0.931888
|m| > 1.0
1.25, 1.5, 0.665876, 0.746063, -0.0486921
- |m| > 1.0
-1.25, 1.5, -0.665876, 0.746063, -0.0486921
|m| >
- 1.0
25, 1.5, 0.618665, 0.785655, 0.372585
|m| > 1.0
-25,
- 1.5, -0.618665, 0.785655, 0.372585
-
- |m|
- > 1.0
2.98023e-08, 1.5, 2.98023e-08, 1, 1
|m| > 1.0
- -2.98023e-08, 1.5, -2.98023e-08, 1, 1
|m| > 1.0
0.25, 1.5, 0.24183,
- 0.970319, 0.931888
|m| > 1.0
-0.25, 1.5, -0.24183, 0.970319,
- 0.931888
|m| > 1.0
1.25, 1.5, 0.665876, 0.746063, -0.0486921
- |m| > 1.0
-1.25, 1.5, -0.665876, 0.746063, -0.0486921
|m| >
- 1.0
25, 1.5, 0.618665, 0.785655, 0.372585
|m| > 1.0
-25,
- 1.5, -0.618665, 0.785655, 0.372585
-
- |m|
- > 1.0
2.98023e-08, 1.5, 2.98023e-08, 1, 1
|m| > 1.0
- -2.98023e-08, 1.5, -2.98023e-08, 1, 1
|m| > 1.0
0.25, 1.5, 0.24183,
- 0.970319, 0.931888
|m| > 1.0
-0.25, 1.5, -0.24183, 0.970319,
- 0.931888
|m| > 1.0
1.25, 1.5, 0.665876, 0.746063, -0.0486921
- |m| > 1.0
-1.25, 1.5, -0.665876, 0.746063, -0.0486921
|m| >
- 1.0
25, 1.5, 0.618665, 0.785655, 0.372585
|m| > 1.0
-25,
- 1.5, -0.618665, 0.785655, 0.372585
-
- underflow
- 168, 150, -6.52661e-66
underflow
169, 202, 9.2734e-88
domain
- error
20, -9.5, -0.00103076
domain error
21, -9.5, 4.28582e+26
- domain error
22, -9.5, -0.00419144
domain error
23, -9.5,
- 8.6745e+29
domain error
24, -9.5, -0.0204825
domain error
- 25, -9.5, 2.08188e+33
domain error
26, -9.5, -0.118403
domain
- error
27, -9.5, 5.84592e+36
domain error
28, -9.5, -0.798969
- domain error
29, -9.5, 1.89875e+40
domain error
30, -9.5,
- -6.22245
underflow
10, 1.32923e+36, -0
underflow
15,
- 1.32923e+36, 0
-
- domain
- error
124, -1.5, 7.63705e+240
domain error
124, -2.5, 7.63705e+240
- domain error
124, -3.5, 7.63705e+240
domain error
124, -4.5,
- 7.63705e+240
domain error
124, -5.5, 7.63705e+240
domain
- error
124, -6.5, 7.63705e+240
domain error
124, -7.5, 7.63705e+240
- domain error
124, -8.5, 7.63705e+240
domain error
124, -9.5,
- 7.63705e+240
domain error
124, -10.5, 7.63705e+240
domain
- error
124, -11.5, 7.63705e+240
domain error
124, -12.5, 7.63705e+240
- domain error
124, -13.5, 7.63705e+240
domain error
124, -14.5,
- 7.63705e+240
domain error
124, -15.5, 7.63705e+240
domain
- error
124, -16.5, 7.63705e+240
domain error
124, -17.5, 7.63705e+240
- domain error
124, -18.5, 7.63705e+240
domain error
124, -19.5,
- 7.63705e+240
domain error
124, -20.5, 7.63705e+240
domain
- error
124, -1.5, -7.63705e+240
domain error
124, -2.5, -7.63705e+240
- domain error
124, -3.5, -7.63705e+240
domain error
124, -4.5,
- -7.63705e+240
domain error
124, -5.5, -7.63705e+240
domain
- error
124, -6.5, -7.63705e+240
domain error
124, -7.5, -7.63705e+240
- domain error
124, -8.5, -7.63705e+240
domain error
124, -9.5,
- -7.63705e+240
domain error
124, -10.5, -7.63705e+240
domain
- error
124, -11.5, -7.63705e+240
domain error
124, -12.5,
- -7.63705e+240
domain error
124, -13.5, -7.63705e+240
domain
- error
124, -14.5, -7.63705e+240
domain error
124, -15.5,
- -7.63705e+240
domain error
124, -16.5, -7.63705e+240
domain
- error
124, -17.5, -7.63705e+240
domain error
124, -18.5,
- -7.63705e+240
domain error
124, -19.5, -7.63705e+240
domain
- error
124, -20.5, -7.63705e+240
domain error
2, -0.5, -0.828797
- domain error
3, -0.5, 193.409
domain error
4, -0.5, -3.47425
- domain error
5, -0.5, 15371.1
domain error
6, -0.5, -43.4579
- domain error
7, -0.5, 2.58068e+06
domain error
8, -0.5, -1059.96
- domain error
9, -0.5, 7.43185e+08
domain error
10, -0.5,
- -42108.9
domain error
11, -0.5, 3.26999e+11
domain error
- 12, -0.5, -2.46448e+06
domain error
13, -0.5, 2.04047e+14
- domain error
14, -0.5, -1.9918e+08
domain error
15, -0.5,
- 1.71399e+17
domain error
16, -0.5, -2.12394e+10
domain error
- 17, -0.5, 1.86483e+20
domain error
18, -0.5, -2.88824e+12
- domain error
19, -0.5, 2.55108e+23
domain error
20, -0.5,
- -4.87773e+14
domain error
21, -0.5, 4.28582e+26
domain error
- 2, -0.5, -0.828843
domain error
3, -0.5, 193.409
domain error
- 4, -0.5, -3.47791
domain error
5, -0.5, 15371.1
domain error
- 6, -0.5, -44.0732
domain error
7, -0.5, 2.58068e+06
domain
- error
8, -0.5, -1237.15
domain error
9, -0.5, 7.43185e+08
- domain error
10, -0.5, -120071
domain error
11, -0.5, 3.26999e+11
- domain error
12, -0.5, -5.11131e+07
domain error
13, -0.5,
- 2.04047e+14
domain error
14, -0.5, -4.1064e+10
domain error
- 15, -0.5, 1.71399e+17
domain error
16, -0.5, -4.44822e+13
- domain error
17, -0.5, 1.86483e+20
domain error
18, -0.5,
- -6.08254e+16
domain error
19, -0.5, 2.55108e+23
domain error
- 20, -0.5, -1.02182e+20
domain error
21, -0.5, 4.28582e+26
- domain error
2, -0.5, -0.828751
domain error
3, -0.5, 193.409
- domain error
4, -0.5, -3.47059
domain error
5, -0.5, 15371.1
- domain error
6, -0.5, -42.8426
domain error
7, -0.5, 2.58068e+06
- domain error
8, -0.5, -882.773
domain error
9, -0.5, 7.43185e+08
- domain error
10, -0.5, 35853.7
domain error
11, -0.5, 3.26999e+11
- domain error
12, -0.5, 4.61841e+07
domain error
13, -0.5,
- 2.04047e+14
domain error
14, -0.5, 4.06656e+10
domain error
- 15, -0.5, 1.71399e+17
domain error
16, -0.5, 4.44397e+13
- domain error
17, -0.5, 1.86483e+20
domain error
18, -0.5,
- 6.08197e+16
domain error
19, -0.5, 2.55108e+23
domain error
- 20, -0.5, 1.02181e+20
domain error
21, -0.5, 4.28582e+26
-
- domain
- error
2, -12.75, -124.031
domain error
2, -12.25, 124.019
- domain error
2, -11.75, -124.032
domain error
2, -11.25,
- 124.018
domain error
2, -10.75, -124.033
domain error
- 2, -10.25, 124.016
domain error
2, -9.75, -124.035
domain
- error
2, -9.25, 124.015
domain error
2, -8.75, -124.037
- domain error
2, -8.25, 124.012
domain error
2, -7.75, -124.04
- domain error
2, -7.25, 124.009
domain error
2, -6.75, -124.044
- domain error
2, -6.25, 124.003
domain error
2, -5.75, -124.051
- domain error
2, -5.25, 123.995
domain error
2, -4.75, -124.061
- domain error
2, -4.25, 123.981
domain error
2, -3.75, -124.08
- domain error
2, -3.25, 123.955
domain error
2, -2.75, -124.118
- domain error
2, -2.25, 123.897
domain error
2, -1.75, -124.214
- domain error
2, -1.25, 123.721
domain error
2, -0.75, -124.587
- domain error
2, -0.25, 122.697
domain error
3, -12.75, 1558.54
- domain error
3, -12.25, 1558.54
domain error
3, -11.75, 1558.54
- domain error
3, -11.25, 1558.54
domain error
3, -10.75, 1558.54
- domain error
3, -10.25, 1558.54
domain error
3, -9.75, 1558.54
- domain error
3, -9.25, 1558.54
domain error
3, -8.75, 1558.54
- domain error
3, -8.25, 1558.54
domain error
3, -7.75, 1558.54
- domain error
3, -7.25, 1558.54
domain error
3, -6.75, 1558.54
- domain error
3, -6.25, 1558.54
domain error
3, -5.75, 1558.54
- domain error
3, -5.25, 1558.54
domain error
3, -4.75, 1558.53
- domain error
3, -4.25, 1558.53
domain error
3, -3.75, 1558.52
- domain error
3, -3.25, 1558.51
domain error
3, -2.75, 1558.49
- domain error
3, -2.25, 1558.46
domain error
3, -1.75, 1558.38
- domain error
3, -1.25, 1558.22
domain error
3, -0.75, 1557.75
- domain error
3, -0.25, 1555.76
domain error
4, -12.75, -24481.6
- domain error
4, -12.25, 24481.6
domain error
4, -11.75, -24481.6
- domain error
4, -11.25, 24481.6
domain error
4, -10.75, -24481.6
- domain error
4, -10.25, 24481.6
domain error
4, -9.75, -24481.6
- domain error
4, -9.25, 24481.6
domain error
4, -8.75, -24481.6
- domain error
4, -8.25, 24481.6
domain error
4, -7.75, -24481.6
- domain error
4, -7.25, 24481.6
domain error
4, -6.75, -24481.6
- domain error
4, -6.25, 24481.6
domain error
4, -5.75, -24481.6
- domain error
4, -5.25, 24481.6
domain error
4, -4.75, -24481.6
- domain error
4, -4.25, 24481.6
domain error
4, -3.75, -24481.6
- domain error
4, -3.25, 24481.5
domain error
4, -2.75, -24481.6
- domain error
4, -2.25, 24481.5
domain error
4, -1.75, -24481.8
- domain error
4, -1.25, 24481.1
domain error
4, -0.75, -24483.2
- domain error
4, -0.25, 24473.2
domain error
5, -12.75, 492231
- domain error
5, -12.25, 492231
domain error
5, -11.75, 492231
- domain error
5, -11.25, 492231
domain error
5, -10.75, 492231
- domain error
5, -10.25, 492231
domain error
5, -9.75, 492231
- domain error
5, -9.25, 492231
domain error
5, -8.75, 492231
- domain error
5, -8.25, 492231
domain error
5, -7.75, 492231
- domain error
5, -7.25, 492231
domain error
5, -6.75, 492231
- domain error
5, -6.25, 492231
domain error
5, -5.75, 492231
- domain error
5, -5.25, 492231
domain error
5, -4.75, 492231
- domain error
5, -4.25, 492231
domain error
5, -3.75, 492231
- domain error
5, -3.25, 492231
domain error
5, -2.75, 492231
- domain error
5, -2.25, 492231
domain error
5, -1.75, 492231
- domain error
5, -1.25, 492230
domain error
5, -0.75, 492227
- domain error
5, -0.25, 492199
domain error
6, -12.75, -1.17912e+07
- domain error
6, -12.25, 1.17912e+07
domain error
6, -11.75,
- -1.17912e+07
domain error
6, -11.25, 1.17912e+07
domain error
- 6, -10.75, -1.17912e+07
domain error
6, -10.25, 1.17912e+07
- domain error
6, -9.75, -1.17912e+07
domain error
6, -9.25,
- 1.17912e+07
domain error
6, -8.75, -1.17912e+07
domain error
- 6, -8.25, 1.17912e+07
domain error
6, -7.75, -1.17912e+07
- domain error
6, -7.25, 1.17912e+07
domain error
6, -6.75,
- -1.17912e+07
domain error
6, -6.25, 1.17912e+07
domain error
- 6, -5.75, -1.17912e+07
domain error
6, -5.25, 1.17912e+07
- domain error
6, -4.75, -1.17912e+07
domain error
6, -4.25,
- 1.17912e+07
domain error
6, -3.75, -1.17912e+07
domain error
- 6, -3.25, 1.17912e+07
domain error
6, -2.75, -1.17912e+07
- domain error
6, -2.25, 1.17912e+07
domain error
6, -1.75,
- -1.17912e+07
domain error
6, -1.25, 1.17912e+07
*** FURTHER
- CONTENT HAS BEEN TRUNCATED FOR BREVITY ***
-
- underflow
- 30, 8.58993e+09, -8.44974e-268
underflow
30, 1.71799e+10, -7.86943e-277
- underflow
30, 3.43597e+10, -7.32898e-286
underflow
30, 6.87195e+10,
- -6.82564e-295
underflow
30, 1.37439e+11, -6.35687e-304
underflow
- 30, 2.74878e+11, -5.9203e-313
underflow
30, 5.49756e+11, -5.53354e-322
- underflow
30, 1.09951e+12, -0
underflow
30, 2.19902e+12,
- -0
underflow
30, 4.39805e+12, -0
underflow
30, 8.79609e+12,
- -0
underflow
30, 1.75922e+13, -0
underflow
30, 3.51844e+13,
- -0
underflow
30, 7.03687e+13, -0
underflow
30, 1.40737e+14,
- -0
underflow
30, 2.81475e+14, -0
underflow
30, 5.6295e+14,
- -0
underflow
30, 1.1259e+15, -0
underflow
30, 2.2518e+15,
- -0
underflow
30, 4.5036e+15, -0
underflow
30, 9.0072e+15,
- -0
underflow
30, 1.80144e+16, -0
underflow
30, 3.60288e+16,
- -0
underflow
30, 7.20576e+16, -0
underflow
30, 1.44115e+17,
- -0
underflow
30, 2.8823e+17, -0
underflow
30, 5.76461e+17,
- -0
underflow
30, 1.15292e+18, -0
underflow
30, 2.30584e+18,
- -0
underflow
30, 4.61169e+18, -0
underflow
30, 9.22337e+18,
- -0
underflow
30, 1.84467e+19, -0
underflow
30, 3.68935e+19,
- -0
underflow
30, 7.3787e+19, -0
underflow
30, 1.47574e+20,
- -0
underflow
30, 2.95148e+20, -0
underflow
30, 5.90296e+20,
- -0
underflow
30, 1.18059e+21, -0
underflow
30, 2.36118e+21,
- -0
underflow
30, 4.72237e+21, -0
underflow
30, 9.44473e+21,
- -0
underflow
30, 1.88895e+22, -0
underflow
30, 3.77789e+22,
- -0
underflow
30, 7.55579e+22, -0
underflow
30, 1.51116e+23,
- -0
underflow
30, 3.02231e+23, -0
underflow
30, 6.04463e+23,
- -0
underflow
30, 1.20893e+24, -0
underflow
30, 2.41785e+24,
- -0
underflow
30, 4.8357e+24, -0
underflow
30, 9.67141e+24,
- -0
underflow
30, 1.93428e+25, -0
underflow
30, 3.86856e+25,
- -0
underflow
30, 7.73713e+25, -0
underflow
30, 1.54743e+26,
- -0
underflow
30, 3.09485e+26, -0
underflow
30, 6.1897e+26,
- -0
underflow
30, 1.23794e+27, -0
underflow
30, 2.47588e+27,
- -0
underflow
30, 4.95176e+27, -0
underflow
30, 9.90352e+27,
- -0
underflow
30, 1.9807e+28, -0
underflow
30, 3.96141e+28,
- -0
underflow
30, 7.92282e+28, -0
underflow
30, 1.58456e+29,
- -0
underflow
30, 3.16913e+29, -0
underflow
30, 6.33825e+29,
- -0
underflow
30, 1.26765e+30, -0
-
Table 97. Error rates for beta
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Beta Function: Small Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 2.86ε (Mean = 1.22ε) |
-
- - Max = 2.86ε (Mean = 1.22ε) - - |
-
- - Max = 2.23ε (Mean = 1.14ε) - - |
-
|
- - Beta Function: Medium Values - - |
-
-
- Max = 0.978ε (Mean = 0.0595ε) |
-
-
- Max = 61.4ε (Mean = 19.4ε) |
-
- - Max = 107ε (Mean = 24.5ε) - - |
-
- - Max = 96.5ε (Mean = 22.4ε) - - |
-
|
- - Beta Function: Divergent Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 8.99ε (Mean = 2.44ε) |
-
- - Max = 18.8ε (Mean = 2.71ε) - - |
-
- - Max = 11.4ε (Mean = 2.19ε) - - |
-
Table 98. Error rates for beta (incomplete)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Incomplete Beta Function: Small Values - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 11.1ε (Mean = 2.32ε) - - |
-
- - Max = 18.7ε (Mean = 3.19ε) - - |
-
- - Max = 9.94ε (Mean = 2.17ε) - - |
-
|
- - Incomplete Beta Function: Medium Values - - |
-
- - Max = 0.568ε (Mean = 0.0254ε) - - |
-
- - Max = 69.2ε (Mean = 13.4ε) - - |
-
- - Max = 174ε (Mean = 25ε) - - |
-
- - Max = 90ε (Mean = 12.7ε) - - |
-
|
- - Incomplete Beta Function: Large and Diverse Values - - |
-
- - Max = 0.999ε (Mean = 0.0325ε) - - |
-
- - Max = 6.84e+04ε (Mean = 2.76e+03ε) - - |
-
- - Max = 6.86e+04ε (Mean = 2.79e+03ε) - - |
-
- - Max = 633ε (Mean = 29.7ε) - - |
-
|
- - Incomplete Beta Function: Small Integer Values - - |
-
- - Max = 0.786ε (Mean = 0.0323ε) - - |
-
- - Max = 11.6ε (Mean = 3.6ε) - - |
-
- - Max = 51.8ε (Mean = 11ε) - - |
-
- - Max = 26ε (Mean = 6.28ε) - - |
-
Table 99. Error rates for betac
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Incomplete Beta Function: Small Values - - |
-
- - Max = 0.676ε (Mean = 0.0302ε) - - |
-
- - Max = 9.92ε (Mean = 2.3ε) - - |
-
- - Max = 11.2ε (Mean = 2.94ε) - - |
-
- - Max = 8.94ε (Mean = 2.06ε) - - |
-
|
- - Incomplete Beta Function: Medium Values - - |
-
- - Max = 0.949ε (Mean = 0.098ε) - - |
-
- - Max = 63.5ε (Mean = 13.5ε) - - |
-
- - Max = 97.6ε (Mean = 24.3ε) - - |
-
- - Max = 90.6ε (Mean = 14.8ε) - - |
-
|
- - Incomplete Beta Function: Large and Diverse Values - - |
-
- - Max = 1.12ε (Mean = 0.0458ε) - - |
-
- - Max = 1.05e+05ε (Mean = 5.45e+03ε) - - |
-
- - Max = 1.04e+05ε (Mean = 5.46e+03ε) - - |
-
- - Max = 3.72e+03ε (Mean = 113ε) - - |
-
|
- - Incomplete Beta Function: Small Integer Values - - |
-
- - Max = 0.586ε (Mean = 0.0314ε) - - |
-
- - Max = 11.1ε (Mean = 3.65ε) - - |
-
- - Max = 103ε (Mean = 17.4ε) - - |
-
- - Max = 26.2ε (Mean = 6.36ε) - - |
-
Table 100. Error rates for binomial_coefficient
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Binomials: small arguments - - |
-
- - Max = 1ε (Mean = 0.369ε) - - |
-
- - Max = 1.5ε (Mean = 0.339ε) - - |
-
- - Max = 1.5ε (Mean = 0.339ε) - - |
-
- - Max = 1ε (Mean = 0.369ε) - - |
-
|
- - Binomials: large arguments - - |
-
- - Max = 0.939ε (Mean = 0.314ε) - - |
-
- - Max = 26.6ε (Mean = 6.13ε) - - |
-
- - Max = 53.2ε (Mean = 10.8ε) - - |
-
- - Max = 37.2ε (Mean = 7.4ε) - - |
-
Table 101. Error rates for boost::math::powm1
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - powm1 - - |
-
-
- (<math.h>: Max = 2.04ε (Mean = 0.493ε)) |
-
-
- (Rmath 3.2.3: Max = 1.06ε (Mean = 0.425ε)) |
-
-
- Max = 1.88ε (Mean = 0.49ε) |
-
-
- (<math.h>: Max = 1.84ε (Mean = 0.486ε)) |
-
Table 102. Error rates for cbrt
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - cbrt Function - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
-
- Max = 1.34ε (Mean = 0.471ε) |
-
-
- Max = 1.34ε (Mean = 0.471ε) |
-
-
- Max = 1.7ε (Mean = 0.565ε) |
-
Table 103. Error rates for cos_pi
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - sin_pi and cos_pi - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.991ε (Mean = 0.302ε) - - |
-
- - Max = 0.991ε (Mean = 0.302ε) - - |
-
- - Max = 0.996ε (Mean = 0.284ε) - - |
-
|
- - sin_pi and cos_pi near integers and half integers - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.976ε (Mean = 0.28ε) - - |
-
- - Max = 0.976ε (Mean = 0.28ε) - - |
-
- - Max = 0.996ε (Mean = 0.298ε) - - |
-
Table 104. Error rates for cyl_bessel_i
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel I0: Mathworld Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 1.95ε (Mean = 0.738ε) |
-
- - Max = 1.95ε (Mean = 0.661ε) - - |
-
- - Max = 0.762ε (Mean = 0.329ε) - - |
-
|
- - Bessel I1: Mathworld Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0.64ε (Mean = 0.202ε) |
-
- - Max = 0.64ε (Mean = 0.202ε) - - |
-
- - Max = 0.767ε (Mean = 0.398ε) - - |
-
|
- - Bessel In: Mathworld Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 1.8ε (Mean = 1.33ε) |
-
- - Max = 463ε (Mean = 140ε) - - |
-
- - Max = 3.46ε (Mean = 1.32ε) - - |
-
|
- - Bessel Iv: Mathworld Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 4.12ε (Mean = 1.85ε) |
-
- - Max = 4.12ε (Mean = 1.95ε) - - |
-
- - Max = 2.97ε (Mean = 1.24ε) - - |
-
|
- - Bessel In: Random Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 4.62ε (Mean = 1.06ε) |
-
- - Max = 176ε (Mean = 39.1ε) - - |
-
- - Max = 9.67ε (Mean = 1.88ε) - - |
-
|
- - Bessel Iv: Random Data - - |
-
-
- Max = 0.661ε (Mean = 0.0441ε) |
-
-
- Max = 8.35ε (Mean = 1.62ε) |
-
- - Max = 283ε (Mean = 88.4ε) - - |
-
- - Max = 7.46ε (Mean = 1.71ε) - - |
-
|
- - Bessel Iv: Mathworld Data (large values) - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 14.7ε (Mean = 6.66ε) |
-
- - Max = 14.7ε (Mean = 6.59ε) - - |
-
- - Max = 3.67ε (Mean = 1.64ε) - - |
-
Table 105. Error rates for cyl_bessel_i (integer orders)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel I0: Mathworld Data (Integer Version) - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 1.95ε (Mean = 0.738ε) |
-
- - Max = 1.95ε (Mean = 0.661ε) - - |
-
- - Max = 0.762ε (Mean = 0.329ε) - - |
-
|
- - Bessel I1: Mathworld Data (Integer Version) - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0.64ε (Mean = 0.202ε) |
-
- - Max = 0.64ε (Mean = 0.202ε) - - |
-
- - Max = 0.767ε (Mean = 0.398ε) - - |
-
|
- - Bessel In: Mathworld Data (Integer Version) - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 1.8ε (Mean = 1.33ε) |
-
- - Max = 463ε (Mean = 140ε) - - |
-
- - Max = 3.46ε (Mean = 1.32ε) - - |
-
Table 106. Error rates for cyl_bessel_i_prime
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel I'0: Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.82ε (Mean = 0.259ε) - - |
-
- - Max = 0.82ε (Mean = 0.259ε) - - |
-
- - Max = 0.82ε (Mean = 0.354ε) - - |
-
|
- - Bessel I'1: Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 1.97ε (Mean = 0.757ε) - - |
-
- - Max = 1.97ε (Mean = 0.757ε) - - |
-
- - Max = 1.36ε (Mean = 0.782ε) - - |
-
|
- - Bessel I'n: Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 2.31ε (Mean = 1.41ε) - - |
-
- - Max = 701ε (Mean = 212ε) - - |
-
- - Max = 3.61ε (Mean = 1.22ε) - - |
-
|
- - Bessel I'v: Mathworld Data - - |
-
- - Max = 1.62ε (Mean = 0.512ε) - - |
-
- - Max = 2.89e+03ε (Mean = 914ε) - - |
-
- - Max = 2.89e+03ε (Mean = 914ε) - - |
-
- - Max = 3.76e+03ε (Mean = 1.19e+03ε) - - |
-
|
- - Bessel I'n: Random Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 3.95ε (Mean = 1.06ε) - - |
-
- - Max = 195ε (Mean = 37.1ε) - - |
-
- - Max = 9.85ε (Mean = 1.82ε) - - |
-
|
- - Bessel I'v: Random Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 14.1ε (Mean = 2.93ε) - - |
-
- - Max = 336ε (Mean = 68.5ε) - - |
-
- - Max = 14ε (Mean = 2.5ε) - - |
-
|
- - Bessel I'v: Mathworld Data (large values) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 42.6ε (Mean = 20.2ε) - - |
-
- - Max = 42.6ε (Mean = 20.2ε) - - |
-
- - Max = 59.5ε (Mean = 26.6ε) - - |
-
Table 107. Error rates for cyl_bessel_i_prime (integer orders)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel I'0: Mathworld Data (Integer Version) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.82ε (Mean = 0.259ε) - - |
-
- - Max = 0.82ε (Mean = 0.259ε) - - |
-
- - Max = 0.82ε (Mean = 0.354ε) - - |
-
|
- - Bessel I'1: Mathworld Data (Integer Version) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 1.97ε (Mean = 0.757ε) - - |
-
- - Max = 1.97ε (Mean = 0.757ε) - - |
-
- - Max = 1.36ε (Mean = 0.782ε) - - |
-
|
- - Bessel I'n: Mathworld Data (Integer Version) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 2.31ε (Mean = 1.41ε) - - |
-
- - Max = 701ε (Mean = 212ε) - - |
-
- - Max = 3.61ε (Mean = 1.22ε) - - |
-
Table 108. Error rates for cyl_bessel_j
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel J0: Mathworld Data - - |
-
-
- Max = 6.55ε (Mean = 2.86ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 6.55ε (Mean = 2.86ε) - - |
-
- - Max = 2.52ε (Mean = 1.2ε) - - |
-
|
- - Bessel J0: Mathworld Data (Tricky cases) - - |
-
-
- Max = 1.64e+08ε (Mean = 6.69e+07ε) |
-
-
- Max = 8e+04ε (Mean = 3.27e+04ε) |
-
- - Max = 1.64e+08ε (Mean = 6.69e+07ε) - - |
-
- - Max = 1e+07ε (Mean = 4.09e+06ε) - - |
-
|
- - Bessel J1: Mathworld Data - - |
-
-
- Max = 3.59ε (Mean = 1.33ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.44ε (Mean = 0.637ε) - - |
-
- - Max = 1.73ε (Mean = 0.976ε) - - |
-
|
- - Bessel J1: Mathworld Data (tricky cases) - - |
-
-
- Max = 2.18e+05ε (Mean = 9.76e+04ε) |
-
-
- Max = 106ε (Mean = 47.5ε) |
-
- - Max = 2.18e+05ε (Mean = 9.76e+04ε) - - |
-
- - Max = 3.23e+04ε (Mean = 1.45e+04ε) - - |
-
|
- - Bessel JN: Mathworld Data - - |
-
-
- Max = 6.85ε (Mean = 3.35ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 463ε (Mean = 112ε) - - |
-
- - Max = 14.7ε (Mean = 5.4ε) - - |
-
|
- - Bessel J: Mathworld Data - - |
-
-
- Max = 14.7ε (Mean = 4.11ε) |
-
-
- Max = 10ε (Mean = 2.24ε) |
-
- - Max = 14.7ε (Mean = 4.22ε) - - |
-
- - Max = 14.9ε (Mean = 3.89ε) - - |
-
|
- - Bessel J: Mathworld Data (large values) - - |
-
-
- Max = 607ε (Mean = 305ε) |
-
-
- Max = 0.536ε (Mean = 0.268ε) |
-
- - Max = 607ε (Mean = 305ε) - - |
-
- - Max = 9.31ε (Mean = 5.52ε) - - |
-
|
- - Bessel JN: Random Data - - |
-
-
- Max = 50.8ε (Mean = 3.69ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 99.6ε (Mean = 22ε) - - |
-
- - Max = 17.5ε (Mean = 1.46ε) - - |
-
|
- - Bessel J: Random Data - - |
-
-
- Max = 11.4ε (Mean = 1.68ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 260ε (Mean = 34ε) - - |
-
- - Max = 9.24ε (Mean = 1.17ε) - - |
-
|
- - Bessel J: Random Data (Tricky large values) - - |
-
-
- Max = 785ε (Mean = 94.2ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 785ε (Mean = 97.4ε) - - |
-
- - Max = 59.2ε (Mean = 8.67ε) - - |
-
Table 109. Error rates for cyl_bessel_j (integer orders)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel J0: Mathworld Data (Integer Version) - - |
-
-
- Max = 6.55ε (Mean = 2.86ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 6.55ε (Mean = 2.86ε) - - |
-
-
- Max = 2.52ε (Mean = 1.2ε) |
-
|
- - Bessel J0: Mathworld Data (Tricky cases) (Integer Version) - - |
-
-
- Max = 1.64e+08ε (Mean = 6.69e+07ε) |
-
-
- Max = 8e+04ε (Mean = 3.27e+04ε) |
-
- - Max = 1.64e+08ε (Mean = 6.69e+07ε) - - |
-
-
- Max = 1e+07ε (Mean = 4.09e+06ε) |
-
|
- - Bessel J1: Mathworld Data (Integer Version) - - |
-
-
- Max = 3.59ε (Mean = 1.33ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.44ε (Mean = 0.637ε) - - |
-
-
- Max = 1.73ε (Mean = 0.976ε) |
-
|
- - Bessel J1: Mathworld Data (tricky cases) (Integer Version) - - |
-
-
- Max = 2.18e+05ε (Mean = 9.76e+04ε) |
-
-
- Max = 106ε (Mean = 47.5ε) |
-
- - Max = 2.18e+05ε (Mean = 9.76e+04ε) - - |
-
-
- Max = 3.23e+04ε (Mean = 1.45e+04ε) |
-
|
- - Bessel JN: Mathworld Data (Integer Version) - - |
-
-
- Max = 6.85ε (Mean = 3.35ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 463ε (Mean = 112ε) - - |
-
-
- Max = 14.7ε (Mean = 5.4ε) |
-
Table 110. Error rates for cyl_bessel_j_prime
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel J0': Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 18.9ε (Mean = 6.82ε) - - |
-
- - Max = 18.9ε (Mean = 6.72ε) - - |
-
- - Max = 6.62ε (Mean = 2.55ε) - - |
-
|
- - Bessel J0': Mathworld Data (Tricky cases) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 7.44ε (Mean = 3.34ε) - - |
-
- - Max = 7.44ε (Mean = 3.31ε) - - |
-
- - Max = 3.67ε (Mean = 1.74ε) - - |
-
|
- - Bessel J1': Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 7.9ε (Mean = 3.37ε) - - |
-
- - Max = 7.9ε (Mean = 3.37ε) - - |
-
- - Max = 0.999ε (Mean = 0.627ε) - - |
-
|
- - Bessel J1': Mathworld Data (tricky cases) - - |
-
- - Max = 287ε (Mean = 129ε) - - |
-
- - Max = 5.88e+05ε (Mean = 2.63e+05ε) - - |
-
- - Max = 5.88e+05ε (Mean = 2.63e+05ε) - - |
-
- - Max = 288ε (Mean = 129ε) - - |
-
|
- - Bessel JN': Mathworld Data - - |
-
- - Max = 0.527ε (Mean = 0.128ε) - - |
-
- - Max = 1.29e+03ε (Mean = 312ε) - - |
-
- - Max = 1.29e+03ε (Mean = 355ε) - - |
-
- - Max = 14ε (Mean = 6.13ε) - - |
-
|
- - Bessel J': Mathworld Data - - |
-
- - Max = 21.5ε (Mean = 4.7ε) - - |
-
- - Max = 42.5ε (Mean = 9.31ε) - - |
-
- - Max = 42.5ε (Mean = 9.32ε) - - |
-
- - Max = 23.7ε (Mean = 8ε) - - |
-
|
- - Bessel J': Mathworld Data (large values) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 989ε (Mean = 495ε) - - |
-
- - Max = 989ε (Mean = 495ε) - - |
-
- - Max = 2.9ε (Mean = 1.61ε) - - |
-
|
- - Bessel JN': Random Data - - |
-
- - Max = 0.593ε (Mean = 0.0396ε) - - |
-
- - Max = 11.3ε (Mean = 1.85ε) - - |
-
- - Max = 79.4ε (Mean = 16.2ε) - - |
-
- - Max = 6.34ε (Mean = 0.999ε) - - |
-
|
- - Bessel J': Random Data - - |
-
- - Max = 0.885ε (Mean = 0.033ε) - - |
-
- - Max = 139ε (Mean = 6.47ε) - - |
-
- - Max = 279ε (Mean = 27.2ε) - - |
-
- - Max = 176ε (Mean = 9.75ε) - - |
-
|
- - Bessel J': Random Data (Tricky large values) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 474ε (Mean = 62.2ε) - - |
-
- - Max = 474ε (Mean = 64.5ε) - - |
-
- - Max = 379ε (Mean = 45.4ε) - - |
-
Table 111. Error rates for cyl_bessel_j_prime (integer orders)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel J0': Mathworld Data (Integer Version) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 18.9ε (Mean = 6.82ε) - - |
-
- - Max = 18.9ε (Mean = 6.72ε) - - |
-
- - Max = 6.62ε (Mean = 2.55ε) - - |
-
|
- - Bessel J0': Mathworld Data (Tricky cases) (Integer Version) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 7.44ε (Mean = 3.34ε) - - |
-
- - Max = 7.44ε (Mean = 3.31ε) - - |
-
- - Max = 3.67ε (Mean = 1.74ε) - - |
-
|
- - Bessel J1': Mathworld Data (Integer Version) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 7.9ε (Mean = 3.37ε) - - |
-
- - Max = 7.9ε (Mean = 3.37ε) - - |
-
- - Max = 0.999ε (Mean = 0.627ε) - - |
-
|
- - Bessel J1': Mathworld Data (tricky cases) (Integer Version) - - |
-
- - Max = 287ε (Mean = 129ε) - - |
-
- - Max = 5.88e+05ε (Mean = 2.63e+05ε) - - |
-
- - Max = 5.88e+05ε (Mean = 2.63e+05ε) - - |
-
- - Max = 288ε (Mean = 129ε) - - |
-
|
- - Bessel JN': Mathworld Data (Integer Version) - - |
-
- - Max = 0.527ε (Mean = 0.128ε) - - |
-
- - Max = 1.29e+03ε (Mean = 312ε) - - |
-
- - Max = 1.29e+03ε (Mean = 355ε) - - |
-
- - Max = 14ε (Mean = 6.13ε) - - |
-
Table 112. Error rates for cyl_bessel_k
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel K0: Mathworld Data - - |
-
-
- Max = 0.833ε (Mean = 0.436ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.833ε (Mean = 0.436ε) - - |
-
- - Max = 0.833ε (Mean = 0.552ε) - - |
-
|
- - Bessel K1: Mathworld Data - - |
-
-
- Max = 0.786ε (Mean = 0.329ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.786ε (Mean = 0.329ε) - - |
-
- - Max = 0.786ε (Mean = 0.39ε) - - |
-
|
- - Bessel Kn: Mathworld Data - - |
-
-
- Max = 2.6ε (Mean = 1.21ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 2.6ε (Mean = 1.21ε) - - |
-
- - Max = 3.63ε (Mean = 1.46ε) - - |
-
|
- - Bessel Kv: Mathworld Data - - |
-
-
- Max = 3.58ε (Mean = 2.39ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 5.21ε (Mean = 2.53ε) - - |
-
- - Max = 4.78ε (Mean = 2.19ε) - - |
-
|
- - Bessel Kv: Mathworld Data (large values) - - |
-
-
- Max = 42.3ε (Mean = 21ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 42.3ε (Mean = 21ε) - - |
-
- - Max = 59.8ε (Mean = 26.9ε) - - |
-
|
- - Bessel Kn: Random Data - - |
-
-
- Max = 4.55ε (Mean = 1.12ε) |
-
-
- Max = 0.764ε (Mean = 0.0348ε) |
-
- - Max = 4.55ε (Mean = 1.12ε) - - |
-
- - Max = 9.34ε (Mean = 1.7ε) - - |
-
|
- - Bessel Kv: Random Data - - |
-
-
- Max = 7.88ε (Mean = 1.48ε) |
-
-
- Max = 0.507ε (Mean = 0.0313ε) |
-
- - Max = 7.88ε (Mean = 1.47ε) - - |
-
- - Max = 8.33ε (Mean = 1.62ε) - - |
-
Table 113. Error rates for cyl_bessel_k (integer orders)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel K0: Mathworld Data (Integer Version) - - |
-
-
- Max = 0.833ε (Mean = 0.436ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.833ε (Mean = 0.436ε) - - |
-
- - Max = 0.833ε (Mean = 0.552ε) - - |
-
|
- - Bessel K1: Mathworld Data (Integer Version) - - |
-
-
- Max = 0.786ε (Mean = 0.329ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.786ε (Mean = 0.329ε) - - |
-
- - Max = 0.786ε (Mean = 0.39ε) - - |
-
|
- - Bessel Kn: Mathworld Data (Integer Version) - - |
-
-
- Max = 2.6ε (Mean = 1.21ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 2.6ε (Mean = 1.21ε) - - |
-
- - Max = 3.63ε (Mean = 1.46ε) - - |
-
Table 114. Error rates for cyl_bessel_k_prime
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel K'0: Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.786ε (Mean = 0.329ε) - - |
-
- - Max = 0.786ε (Mean = 0.329ε) - - |
-
- - Max = 0.786ε (Mean = 0.39ε) - - |
-
|
- - Bessel K'1: Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.736ε (Mean = 0.389ε) - - |
-
- - Max = 0.736ε (Mean = 0.389ε) - - |
-
- - Max = 0.761ε (Mean = 0.444ε) - - |
-
|
- - Bessel K'n: Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 2.16ε (Mean = 1.08ε) - - |
-
- - Max = 2.16ε (Mean = 1.08ε) - - |
-
- - Max = 4.17ε (Mean = 1.75ε) - - |
-
|
- - Bessel K'v: Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 3.94ε (Mean = 2.44ε) - - |
-
- - Max = 3.94ε (Mean = 2.34ε) - - |
-
- - Max = 3.94ε (Mean = 1.47ε) - - |
-
|
- - Bessel K'v: Mathworld Data (large values) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 59.2ε (Mean = 42.9ε) - - |
-
- - Max = 58.7ε (Mean = 42.6ε) - - |
-
- - Max = 18.6ε (Mean = 11.8ε) - - |
-
|
- - Bessel K'n: Random Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 4.45ε (Mean = 1.19ε) - - |
-
- - Max = 4.45ε (Mean = 1.19ε) - - |
-
- - Max = 9.67ε (Mean = 1.73ε) - - |
-
|
- - Bessel K'v: Random Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 7.95ε (Mean = 1.53ε) - - |
-
- - Max = 7.95ε (Mean = 1.52ε) - - |
-
- - Max = 8.32ε (Mean = 1.65ε) - - |
-
Table 115. Error rates for cyl_bessel_k_prime (integer orders)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel K'0: Mathworld Data (Integer Version) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.786ε (Mean = 0.329ε) - - |
-
- - Max = 0.786ε (Mean = 0.329ε) - - |
-
- - Max = 0.786ε (Mean = 0.39ε) - - |
-
|
- - Bessel K'1: Mathworld Data (Integer Version) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.736ε (Mean = 0.389ε) - - |
-
- - Max = 0.736ε (Mean = 0.389ε) - - |
-
- - Max = 0.761ε (Mean = 0.444ε) - - |
-
|
- - Bessel K'n: Mathworld Data (Integer Version) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 2.16ε (Mean = 1.08ε) - - |
-
- - Max = 2.16ε (Mean = 1.08ε) - - |
-
- - Max = 4.17ε (Mean = 1.75ε) - - |
-
Table 116. Error rates for cyl_neumann
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Y0: Mathworld Data - - |
-
-
- Max = 5.53ε (Mean = 2.4ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 5.53ε (Mean = 2.4ε) - - |
-
- - Max = 4.61ε (Mean = 2.29ε) - - |
-
|
- - Y1: Mathworld Data - - |
-
-
- Max = 6.33ε (Mean = 2.25ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 6.33ε (Mean = 2.29ε) - - |
-
- - Max = 4.75ε (Mean = 1.72ε) - - |
-
|
- - Yn: Mathworld Data - - |
-
-
- Max = 55.2ε (Mean = 17.8ε) |
-
-
- Max = 0.993ε (Mean = 0.314ε) |
-
- - Max = 55.2ε (Mean = 17.8ε) - - |
-
- - Max = 35ε (Mean = 11.9ε) - - |
-
|
- - Yv: Mathworld Data - - |
-
-
- Max = 10.7ε (Mean = 4.93ε) |
-
-
- Max = 10ε (Mean = 3.02ε) |
-
- - Max = 10.7ε (Mean = 5.1ε) - - |
-
- - Max = 7.89ε (Mean = 3.27ε) - - |
-
|
- - Yv: Mathworld Data (large values) - - |
-
-
- Max = 1.7ε (Mean = 1.33ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.7ε (Mean = 1.33ε) - - |
-
- - Max = 0.682ε (Mean = 0.423ε) - - |
-
|
- - Y0 and Y1: Random Data - - |
-
-
- Max = 10.8ε (Mean = 3.04ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 10.8ε (Mean = 3.04ε) - - |
-
- - Max = 4.17ε (Mean = 1.24ε) - - |
-
|
- - Yn: Random Data - - |
-
-
- Max = 338ε (Mean = 27.5ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 338ε (Mean = 27.5ε) - - |
-
- - Max = 117ε (Mean = 10.2ε) - - |
-
|
- - Yv: Random Data - - |
-
-
- Max = 2.08e+03ε (Mean = 149ε) |
-
-
- Max = 1.53ε (Mean = 0.102ε) |
-
- - Max = 2.08e+03ε (Mean = 149ε) - - |
-
- - Max = 1.23e+03ε (Mean = 69.9ε) - - |
-
Table 117. Error rates for cyl_neumann (integer orders)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Y0: Mathworld Data (Integer Version) - - |
-
-
- Max = 5.53ε (Mean = 2.4ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 5.53ε (Mean = 2.4ε) - - |
-
-
- Max = 4.61ε (Mean = 2.29ε) |
-
|
- - Y1: Mathworld Data (Integer Version) - - |
-
-
- Max = 6.33ε (Mean = 2.25ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 6.33ε (Mean = 2.29ε) - - |
-
-
- Max = 4.75ε (Mean = 1.72ε) |
-
|
- - Yn: Mathworld Data (Integer Version) - - |
-
-
- Max = 55.2ε (Mean = 17.8ε) |
-
-
- Max = 0.993ε (Mean = 0.314ε) |
-
- - Max = 55.2ε (Mean = 17.8ε) - - |
-
-
- Max = 35ε (Mean = 11.9ε) |
-
Table 118. Error rates for cyl_neumann_prime
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Y'0: Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 6.33ε (Mean = 3.12ε) - - |
-
- - Max = 6.33ε (Mean = 3.14ε) - - |
-
- - Max = 4.75ε (Mean = 1.75ε) - - |
-
|
- - Y'1: Mathworld Data - - |
-
- - Max = 0.58ε (Mean = 0.193ε) - - |
-
- - Max = 37.1ε (Mean = 12.8ε) - - |
-
- - Max = 34ε (Mean = 11.8ε) - - |
-
- - Max = 3.08ε (Mean = 1.2ε) - - |
-
|
- - Y'n: Mathworld Data - - |
-
- - Max = 2.05ε (Mean = 0.677ε) - - |
-
- - Max = 56ε (Mean = 18.2ε) - - |
-
- - Max = 56ε (Mean = 21.3ε) - - |
-
- - Max = 563ε (Mean = 178ε) - - |
-
|
- - Y'v: Mathworld Data - - |
-
- - Max = 21.5ε (Mean = 6.49ε) - - |
-
- - Max = 42.5ε (Mean = 13.4ε) - - |
-
- - Max = 42.5ε (Mean = 13.6ε) - - |
-
- - Max = 23.7ε (Mean = 10.1ε) - - |
-
|
- - Y'v: Mathworld Data (large values) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 1.57ε (Mean = 1.24ε) - - |
-
- - Max = 1.57ε (Mean = 1.24ε) - - |
-
- - Max = 0.627ε (Mean = 0.237ε) - - |
-
|
- - Y'0 and Y'1: Random Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 23.8ε (Mean = 3.69ε) - - |
-
- - Max = 23.8ε (Mean = 3.69ε) - - |
-
- - Max = 5.95ε (Mean = 1.36ε) - - |
-
|
- - Y'n: Random Data - - |
-
- - Max = 1.53ε (Mean = 0.0885ε) - - |
-
- - Max = 2.35e+03ε (Mean = 136ε) - - |
-
- - Max = 2.35e+03ε (Mean = 136ε) - - |
-
- - Max = 621ε (Mean = 36ε) - - |
-
|
- - Y'v: Random Data - - |
-
- - Max = 56.8ε (Mean = 2.59ε) - - |
-
- - Max = 1.16e+05ε (Mean = 5.28e+03ε) - - |
-
- - Max = 1.16e+05ε (Mean = 5.28e+03ε) - - |
-
- - Max = 3.23e+04ε (Mean = 1.13e+03ε) - - |
-
Table 119. Error rates for cyl_neumann_prime (integer orders)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Y'0: Mathworld Data (Integer Version) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 6.33ε (Mean = 3.12ε) - - |
-
- - Max = 6.33ε (Mean = 3.14ε) - - |
-
- - Max = 4.75ε (Mean = 1.75ε) - - |
-
|
- - Y'1: Mathworld Data (Integer Version) - - |
-
- - Max = 0.58ε (Mean = 0.193ε) - - |
-
- - Max = 37.1ε (Mean = 12.8ε) - - |
-
- - Max = 34ε (Mean = 11.8ε) - - |
-
- - Max = 3.08ε (Mean = 1.2ε) - - |
-
|
- - Y'n: Mathworld Data (Integer Version) - - |
-
- - Max = 2.05ε (Mean = 0.677ε) - - |
-
- - Max = 56ε (Mean = 18.2ε) - - |
-
- - Max = 56ε (Mean = 21.3ε) - - |
-
- - Max = 563ε (Mean = 178ε) - - |
-
Table 120. Error rates for digamma
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Digamma Function: Large Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.39ε (Mean = 0.413ε) - - |
-
- - Max = 1.39ε (Mean = 0.413ε) - - |
-
- - Max = 0.98ε (Mean = 0.369ε) - - |
-
|
- - Digamma Function: Near the Positive Root - - |
-
-
- Max = 0.891ε (Mean = 0.0995ε) |
-
- - Max = 1.37ε (Mean = 0.477ε) - - |
-
- - Max = 1.31ε (Mean = 0.471ε) - - |
-
- - Max = 0.997ε (Mean = 0.527ε) - - |
-
|
- - Digamma Function: Near Zero - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.984ε (Mean = 0.361ε) - - |
-
- - Max = 0.984ε (Mean = 0.361ε) - - |
-
- - Max = 0.953ε (Mean = 0.337ε) - - |
-
|
- - Digamma Function: Negative Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 180ε (Mean = 13ε) - - |
-
- - Max = 180ε (Mean = 13ε) - - |
-
- - Max = 214ε (Mean = 16.1ε) - - |
-
|
- - Digamma Function: Values near 0 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1ε (Mean = 0.592ε) - - |
-
- - Max = 1ε (Mean = 0.592ε) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
|
- - Digamma Function: Integer arguments - - |
-
-
- Max = 0.992ε (Mean = 0.215ε) |
-
- - Max = 0.888ε (Mean = 0.403ε) - - |
-
- - Max = 0.888ε (Mean = 0.403ε) - - |
-
- - Max = 0.992ε (Mean = 0.452ε) - - |
-
|
- - Digamma Function: Half integer arguments - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.906ε (Mean = 0.409ε) - - |
-
- - Max = 0.906ε (Mean = 0.409ε) - - |
-
- - Max = 0.78ε (Mean = 0.314ε) - - |
-
Table 121. Error rates for ellint_1
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Elliptic Integral F: Mathworld Data - - |
-
-
- Max = 0.94ε (Mean = 0.509ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.94ε (Mean = 0.509ε) - - |
-
- - Max = 0.919ε (Mean = 0.542ε) - - |
-
|
- - Elliptic Integral F: Random Data - - |
-
-
- Max = 1.57ε (Mean = 0.56ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.57ε (Mean = 0.561ε) - - |
-
- - Max = 2.26ε (Mean = 0.631ε) - - |
-
Table 122. Error rates for ellint_1 (complete)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Elliptic Integral K: Mathworld Data - - |
-
-
- Max = 0.887ε (Mean = 0.296ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.887ε (Mean = 0.296ε) - - |
-
- - Max = 0.915ε (Mean = 0.547ε) - - |
-
|
- - Elliptic Integral K: Random Data - - |
-
-
- Max = 1.27ε (Mean = 0.473ε) |
-
-
- Max = 0.851ε (Mean = 0.0851ε) |
-
- - Max = 1.27ε (Mean = 0.473ε) - - |
-
- - Max = 0.958ε (Mean = 0.408ε) - - |
-
Table 123. Error rates for ellint_2
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Elliptic Integral E: Mathworld Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0.656ε (Mean = 0.317ε) |
-
- - Max = 0.656ε (Mean = 0.317ε) - - |
-
- - Max = 1.31ε (Mean = 0.727ε) - - |
-
|
- - Elliptic Integral E: Random Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 2.05ε (Mean = 0.632ε) |
-
- - Max = 2.05ε (Mean = 0.632ε) - - |
-
- - Max = 2.23ε (Mean = 0.639ε) - - |
-
|
- - Elliptic Integral E: Small Angles - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 1ε (Mean = 0.283ε) |
-
- - Max = 1ε (Mean = 0.283ε) - - |
-
- - Max = 1ε (Mean = 0.421ε) - - |
-
Table 124. Error rates for ellint_2 (complete)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Elliptic Integral E: Mathworld Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0.836ε (Mean = 0.469ε) |
-
- - Max = 0.836ε (Mean = 0.469ε) - - |
-
- - Max = 1.3ε (Mean = 0.615ε) - - |
-
|
- - Elliptic Integral E: Random Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 1.97ε (Mean = 0.629ε) |
-
- - Max = 1.97ε (Mean = 0.629ε) - - |
-
- - Max = 1.71ε (Mean = 0.553ε) - - |
-
Table 125. Error rates for ellint_3
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Elliptic Integral PI: Mathworld Data - - |
-
-
- Max = 475ε (Mean = 86.3ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 475ε (Mean = 86.3ε) - - |
-
- - Max = 565ε (Mean = 102ε) - - |
-
|
- - Elliptic Integral PI: Random Data - - |
-
-
- Max = 4.54ε (Mean = 0.895ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 4.49ε (Mean = 0.885ε) - - |
-
- - Max = 8.33ε (Mean = 0.971ε) - - |
-
|
- - Elliptic Integral PI: Large Random Data - - |
-
-
- Max = 3.7ε (Mean = 0.893ε) |
-
-
- Max = 0.557ε (Mean = 0.0389ε) |
-
- - Max = 3.7ε (Mean = 0.892ε) - - |
-
- - Max = 2.86ε (Mean = 0.944ε) - - |
-
Table 126. Error rates for ellint_3 (complete)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Complete Elliptic Integral PI: Mathworld Data - - |
-
-
- Max = 1.4ε (Mean = 0.575ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.4ε (Mean = 0.575ε) - - |
-
- - Max = 0.971ε (Mean = 0.464ε) - - |
-
|
- - Complete Elliptic Integral PI: Random Data - - |
-
-
- Max = 2.45ε (Mean = 0.696ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 2.4ε (Mean = 0.677ε) - - |
-
- - Max = 2.46ε (Mean = 0.657ε) - - |
-
Table 127. Error rates for ellint_d
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Elliptic Integral E: Mathworld Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.3ε (Mean = 0.813ε) - - |
-
- - Max = 1.3ε (Mean = 0.813ε) - - |
-
- - Max = 0.862ε (Mean = 0.457ε) - - |
-
|
- - Elliptic Integral D: Random Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 2.51ε (Mean = 0.883ε) - - |
-
- - Max = 2.51ε (Mean = 0.883ε) - - |
-
- - Max = 2.87ε (Mean = 0.805ε) - - |
-
Table 128. Error rates for ellint_d (complete)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Elliptic Integral E: Mathworld Data - - |
-
- - Max = 0.637ε (Mean = 0.368ε) - - |
-
- - Max = 1.27ε (Mean = 0.735ε) - - |
-
- - Max = 1.27ε (Mean = 0.735ε) - - |
-
- - Max = 0.637ε (Mean = 0.368ε) - - |
-
|
- - Elliptic Integral D: Random Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 1.27ε (Mean = 0.334ε) - - |
-
- - Max = 1.27ε (Mean = 0.334ε) - - |
-
- - Max = 1.27ε (Mean = 0.355ε) - - |
-
Table 129. Error rates for ellint_rc
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|
|
- - RC: Random data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.995ε (Mean = 0.433ε) - - |
-
- - Max = 0.962ε (Mean = 0.407ε) - - |
-
Table 130. Error rates for ellint_rd
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|
|
- - RD: Random data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 2.73ε (Mean = 0.831ε) - - |
-
- - Max = 2.16ε (Mean = 0.803ε) - - |
-
|
- - RD: y = z - - |
-
-
- Max = 0.896ε (Mean = 0.022ε) |
-
- - Max = 2.65ε (Mean = 0.82ε) - - |
-
- - Max = 16.5ε (Mean = 0.843ε) - - |
-
|
- - RD: x = y - - |
-
-
- Max = 0.824ε (Mean = 0.0272ε) |
-
- - Max = 2.85ε (Mean = 0.865ε) - - |
-
- - Max = 3.51ε (Mean = 0.816ε) - - |
-
|
- - RD: x = 0, y = z - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.19ε (Mean = 0.522ε) - - |
-
- - Max = 1.16ε (Mean = 0.497ε) - - |
-
|
- - RD: x = y = z - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.998ε (Mean = 0.387ε) - - |
-
- - Max = 1.03ε (Mean = 0.418ε) - - |
-
|
- - RD: x = 0 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 2.79ε (Mean = 0.883ε) - - |
-
- - Max = 2.64ε (Mean = 0.894ε) - - |
-
Table 131. Error rates for ellint_rf
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|
|
- - RF: Random data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 2.54ε (Mean = 0.674ε) - - |
-
- - Max = 2.02ε (Mean = 0.677ε) - - |
-
|
- - RF: x = y = z - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.991ε (Mean = 0.345ε) - - |
-
- - Max = 0.999ε (Mean = 0.34ε) - - |
-
|
- - RF: x = y or y = z or x = z - - |
-
-
- Max = 0.536ε (Mean = 0.00658ε) |
-
- - Max = 1.95ε (Mean = 0.418ε) - - |
-
- - Max = 1.21ε (Mean = 0.394ε) - - |
-
|
- - RF: x = 0, y = z - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.894ε (Mean = 0.338ε) - - |
-
- - Max = 0.999ε (Mean = 0.407ε) - - |
-
|
- - RF: z = 0 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.7ε (Mean = 0.539ε) - - |
-
- - Max = 1.89ε (Mean = 0.587ε) - - |
-
Table 132. Error rates for ellint_rg
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|
|
- - RG: Random Data - - |
-
-
- Max = 0.983ε (Mean = 0.0172ε) |
-
- - Max = 3.95ε (Mean = 0.951ε) - - |
-
- - Max = 3.65ε (Mean = 0.929ε) - - |
-
|
- - RG: two values 0 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
|
- - RG: All values the same or zero - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.992ε (Mean = 0.288ε) - - |
-
- - Max = 1.06ε (Mean = 0.348ε) - - |
-
|
- - RG: two values the same - - |
-
-
- Max = 0.594ε (Mean = 0.0103ε) |
-
- - Max = 1.51ε (Mean = 0.404ε) - - |
-
- - Max = 1.96ε (Mean = 0.374ε) - - |
-
|
- - RG: one value zero - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 2.14ε (Mean = 0.722ε) - - |
-
- - Max = 1.96ε (Mean = 0.674ε) - - |
-
Table 133. Error rates for ellint_rj
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|
|
- - RJ: Random data - - |
-
-
- Max = 0.52ε (Mean = 0.0184ε) |
-
- - Max = 186ε (Mean = 6.67ε) - - |
-
- - Max = 215ε (Mean = 7.66ε) - - |
-
|
- - RJ: 4 Equal Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.998ε (Mean = 0.387ε) - - |
-
- - Max = 1.03ε (Mean = 0.418ε) - - |
-
|
- - RJ: 3 Equal Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 20.8ε (Mean = 0.986ε) - - |
-
- - Max = 39.9ε (Mean = 1.17ε) - - |
-
|
- - RJ: 2 Equal Values - - |
-
-
- Max = 0.6ε (Mean = 0.0228ε) |
-
- - Max = 220ε (Mean = 6.64ε) - - |
-
- - Max = 214ε (Mean = 5.28ε) - - |
-
|
- - RJ: Equal z and p - - |
-
-
- Max = 0.742ε (Mean = 0.0166ε) |
-
- - Max = 17.2ε (Mean = 1.16ε) - - |
-
- - Max = 16.1ε (Mean = 1.14ε) - - |
-
Table 134. Error rates for erf
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Erf Function: Small Values - - |
-
-
- Max = 0.925ε (Mean = 0.193ε) |
-
-
- Max = 0.841ε (Mean = 0.0687ε) |
-
-
- Max = 0.925ε (Mean = 0.193ε) |
-
-
- Max = 0.996ε (Mean = 0.182ε) |
-
|
- - Erf Function: Medium Values - - |
-
-
- Max = 1.5ε (Mean = 0.193ε) |
-
-
- Max = 1ε (Mean = 0.119ε) |
-
-
- Max = 1.5ε (Mean = 0.197ε) |
-
-
- Max = 1ε (Mean = 0.171ε) |
-
|
- - Erf Function: Large Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
Table 135. Error rates for erf_inv
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Inverse Erf Function - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.996ε (Mean = 0.389ε) - - |
-
- - Max = 1.08ε (Mean = 0.395ε) - - |
-
- - Max = 1.09ε (Mean = 0.502ε) - - |
-
Table 136. Error rates for erfc
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Erf Function: Small Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0.658ε (Mean = 0.0537ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
|
- - Erf Function: Medium Values - - |
-
-
- Max = 1.76ε (Mean = 0.365ε) |
-
-
- Max = 0.983ε (Mean = 0.213ε) |
-
-
- Max = 1.76ε (Mean = 0.38ε) |
-
-
- Max = 1.65ε (Mean = 0.373ε) |
-
|
- - Erf Function: Large Values - - |
-
-
- Max = 1.57ε (Mean = 0.542ε) |
-
-
- Max = 0.868ε (Mean = 0.147ε) |
-
-
- Max = 1.57ε (Mean = 0.564ε) |
-
-
- Max = 1.14ε (Mean = 0.248ε) |
-
Table 137. Error rates for erfc_inv
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Inverse Erfc Function - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.996ε (Mean = 0.397ε) - - |
-
- - Max = 1.08ε (Mean = 0.403ε) - - |
-
- - Max = 1ε (Mean = 0.491ε) - - |
-
|
- - Inverse Erfc Function: extreme values - - |
-- | -
- - Max = 1.62ε (Mean = 0.383ε) - - |
-
- - Max = 1.62ε (Mean = 0.383ε) - - |
-- | -
Table 138. Error rates for expint (Ei)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Exponential Integral Ei - - |
-
-
- Max = 5.05ε (Mean = 0.821ε) |
-
-
- Max = 0.994ε (Mean = 0.142ε) |
-
- - Max = 5.05ε (Mean = 0.835ε) - - |
-
- - Max = 1.43ε (Mean = 0.54ε) - - |
-
|
- - Exponential Integral Ei: double exponent range - - |
-
-
- Max = 1.72ε (Mean = 0.593ε) |
-
-
- Max = 0.998ε (Mean = 0.156ε) |
-
- - Max = 1.72ε (Mean = 0.607ε) - - |
-
- - Max = 1.7ε (Mean = 0.66ε) - - |
-
|
- - Exponential Integral Ei: long exponent range - - |
-
-
- Max = 1.98ε (Mean = 0.595ε) |
-- | -
- - Max = 1.98ε (Mean = 0.575ε) - - |
-- | -
Table 139. Error rates for expint (En)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Exponential Integral En - - |
-
-
- Max = 0.589ε (Mean = 0.0331ε) |
-
- - Max = 9.97ε (Mean = 2.13ε) - - |
-
- - Max = 9.97ε (Mean = 2.13ε) - - |
-
- - Max = 7.16ε (Mean = 1.85ε) - - |
-
|
- - Exponential Integral En: small z values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.99ε (Mean = 0.559ε) - - |
-
- - Max = 1.99ε (Mean = 0.559ε) - - |
-
- - Max = 2.62ε (Mean = 0.531ε) - - |
-
|
- - Exponential Integral E1 - - |
-
-
- Max = 0.556ε (Mean = 0.0625ε) |
-
- - Max = 0.965ε (Mean = 0.414ε) - - |
-
- - Max = 0.965ε (Mean = 0.408ε) - - |
-
- - Max = 0.988ε (Mean = 0.486ε) - - |
-
Table 140. Error rates for expm1
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Random test data - - |
-
-
- Max = 0.992ε (Mean = 0.402ε) |
-
-
- Max = 0.793ε (Mean = 0.126ε) |
-
-
- Max = 1.31ε (Mean = 0.428ε) |
-
-
- Max = 1.31ε (Mean = 0.496ε) |
-
Table 141. Error rates for gamma_p
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - tgamma(a, z) medium values - - |
-
-
- Max = 0.955ε (Mean = 0.05ε) |
-
- - Max = 41.6ε (Mean = 8.09ε) - - |
-
- - Max = 239ε (Mean = 30.2ε) - - |
-
- - Max = 35.1ε (Mean = 6.98ε) - - |
-
|
- - tgamma(a, z) small values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 2ε (Mean = 0.464ε) - - |
-
- - Max = 2ε (Mean = 0.461ε) - - |
-
- - Max = 1.54ε (Mean = 0.439ε) - - |
-
|
- - tgamma(a, z) large values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 3.08e+04ε (Mean = 1.86e+03ε) - - |
-
- - Max = 3.02e+04ε (Mean = 1.91e+03ε) - - |
-
- - Max = 243ε (Mean = 20.2ε) - - |
-
|
- - tgamma(a, z) integer and half integer values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 11.8ε (Mean = 2.66ε) - - |
-
- - Max = 71.6ε (Mean = 9.47ε) - - |
-
- - Max = 13ε (Mean = 2.97ε) - - |
-
Table 142. Error rates for gamma_p_inv
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - incomplete gamma inverse(a, z) medium values - - |
-
-
- Max = 0.993ε (Mean = 0.15ε) |
-
- - Max = 1.8ε (Mean = 0.406ε) - - |
-
- - Max = 1.89ε (Mean = 0.466ε) - - |
-
- - Max = 1.71ε (Mean = 0.34ε) - - |
-
|
- - incomplete gamma inverse(a, z) large values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.509ε (Mean = 0.0447ε) - - |
-
- - Max = 0.509ε (Mean = 0.0447ε) - - |
-
- - Max = 0.924ε (Mean = 0.108ε) - - |
-
|
- - incomplete gamma inverse(a, z) small values - - |
-
-
- Max = 441ε (Mean = 53.9ε) |
-
- - Max = 9.17e+03ε (Mean = 1.45e+03ε) - - |
-
- - Max = 1.09e+04ε (Mean = 1.3e+03ε) - - |
-
- - Max = 1.1e+03ε (Mean = 131ε) - - |
-
Table 143. Error rates for gamma_p_inva
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Incomplete gamma inverses. - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 7.87ε (Mean = 1.15ε) - - |
-
- - Max = 4.08ε (Mean = 1.12ε) - - |
-
- - Max = 4.92ε (Mean = 1.03ε) - - |
-
Table 144. Error rates for gamma_q
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - tgamma(a, z) medium values - - |
-
-
- Max = 0.927ε (Mean = 0.035ε) |
-
- - Max = 32.3ε (Mean = 6.61ε) - - |
-
- - Max = 199ε (Mean = 26.6ε) - - |
-
- - Max = 23.7ε (Mean = 4ε) - - |
-
|
- - tgamma(a, z) small values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 2.45ε (Mean = 0.885ε) - - |
-
- - Max = 2.45ε (Mean = 0.819ε) - - |
-
- - Max = 2.26ε (Mean = 0.74ε) - - |
-
|
- - tgamma(a, z) large values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 6.82e+03ε (Mean = 414ε) - - |
-
- - Max = 1.15e+04ε (Mean = 733ε) - - |
-
- - Max = 469ε (Mean = 31.5ε) - - |
-
|
- - tgamma(a, z) integer and half integer values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 11.1ε (Mean = 2.07ε) - - |
-
- - Max = 54.7ε (Mean = 6.16ε) - - |
-
- - Max = 8.72ε (Mean = 1.48ε) - - |
-
Table 145. Error rates for gamma_q_inv
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - incomplete gamma inverse(a, z) medium values - - |
-
-
- Max = 0.912ε (Mean = 0.154ε) |
-
- - Max = 6.2ε (Mean = 0.627ε) - - |
-
- - Max = 6.2ε (Mean = 0.683ε) - - |
-
- - Max = 2.88ε (Mean = 0.469ε) - - |
-
|
- - incomplete gamma inverse(a, z) large values - - |
-
-
- Max = 0.894ε (Mean = 0.0915ε) |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.814ε (Mean = 0.0856ε) - - |
-
|
- - incomplete gamma inverse(a, z) small values - - |
-
-
- Max = 292ε (Mean = 36.4ε) |
-
- - Max = 8.28e+03ε (Mean = 1.09e+03ε) - - |
-
- - Max = 8.98e+03ε (Mean = 877ε) - - |
-
- - Max = 451ε (Mean = 64.7ε) - - |
-
Table 146. Error rates for gamma_q_inva
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Incomplete gamma inverses. - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 8.42ε (Mean = 1.3ε) - - |
-
- - Max = 7.86ε (Mean = 1.24ε) - - |
-
- - Max = 5.05ε (Mean = 1.08ε) - - |
-
Table 147. Error rates for hermite
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Hermite Polynomials - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 6.24ε (Mean = 2.07ε) - - |
-
- - Max = 6.24ε (Mean = 2.07ε) - - |
-
- - Max = 4.46ε (Mean = 1.41ε) - - |
-
Table 148. Error rates for heuman_lambda
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Elliptic Integral Jacobi Zeta: Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 1.89ε (Mean = 0.887ε) - - |
-
- - Max = 1.89ε (Mean = 0.887ε) - - |
-
- - Max = 1.08ε (Mean = 0.734ε) - - |
-
|
- - Elliptic Integral Heuman Lambda: Random Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 3.82ε (Mean = 0.609ε) - - |
-
- - Max = 3.82ε (Mean = 0.608ε) - - |
-
- - Max = 2.12ε (Mean = 0.588ε) - - |
-
Table 149. Error rates for ibeta
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Incomplete Beta Function: Small Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 8.97ε (Mean = 2.09ε) - - |
-
- - Max = 21.3ε (Mean = 2.75ε) - - |
-
- - Max = 8.4ε (Mean = 1.93ε) - - |
-
|
- - Incomplete Beta Function: Medium Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 50ε (Mean = 12.1ε) - - |
-
- - Max = 124ε (Mean = 18.4ε) - - |
-
- - Max = 106ε (Mean = 16.3ε) - - |
-
|
- - Incomplete Beta Function: Large and Diverse Values - - |
-
-
- Max = 1.26ε (Mean = 0.063ε) |
-
- - Max = 1.96e+04ε (Mean = 997ε) - - |
-
- - Max = 4.98e+04ε (Mean = 2.07e+03ε) - - |
-
- - Max = 1.32e+03ε (Mean = 68.5ε) - - |
-
|
- - Incomplete Beta Function: Small Integer Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 4.45ε (Mean = 0.814ε) - - |
-
- - Max = 44.5ε (Mean = 10.1ε) - - |
-
- - Max = 3.85ε (Mean = 0.791ε) - - |
-
Table 150. Error rates for ibeta_inv
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Inverse incomplete beta - - |
-
-
- Max = 11ε (Mean = 0.345ε) |
-
- - Max = 3.8e+04ε (Mean = 2.66e+03ε) - - |
-
- - Max = 4.07e+04ε (Mean = 2.86e+03ε) - - |
-
- - Max = 8.59e+03ε (Mean = 277ε) - - |
-
Table 151. Error rates for ibeta_inva
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Inverse incomplete beta - - |
-
- - Max = 0.602ε (Mean = 0.0239ε) - - |
-
- - Max = 377ε (Mean = 24.4ε) - - |
-
- - Max = 438ε (Mean = 31.3ε) - - |
-
- - Max = 242ε (Mean = 22.9ε) - - |
-
Table 152. Error rates for ibeta_invb
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Inverse incomplete beta - - |
-
- - Max = 0.765ε (Mean = 0.0422ε) - - |
-
- - Max = 407ε (Mean = 27.2ε) - - |
-
- - Max = 407ε (Mean = 24.4ε) - - |
-
- - Max = 409ε (Mean = 19.3ε) - - |
-
Table 153. Error rates for ibetac
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Incomplete Beta Function: Small Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 10.6ε (Mean = 2.22ε) - - |
-
- - Max = 13.8ε (Mean = 2.68ε) - - |
-
- - Max = 6.94ε (Mean = 1.71ε) - - |
-
|
- - Incomplete Beta Function: Medium Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 73.9ε (Mean = 11.2ε) - - |
-
- - Max = 132ε (Mean = 19.8ε) - - |
-
- - Max = 56.7ε (Mean = 14.3ε) - - |
-
|
- - Incomplete Beta Function: Large and Diverse Values - - |
-
-
- Max = 0.981ε (Mean = 0.0573ε) |
-
- - Max = 3.45e+04ε (Mean = 1.32e+03ε) - - |
-
- - Max = 6.31e+04ε (Mean = 2.04e+03ε) - - |
-
- - Max = 1.88e+03ε (Mean = 82.7ε) - - |
-
|
- - Incomplete Beta Function: Small Integer Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 5.34ε (Mean = 1.11ε) - - |
-
- - Max = 107ε (Mean = 17.1ε) - - |
-
- - Max = 6.37ε (Mean = 1.03ε) - - |
-
Table 154. Error rates for ibetac_inv
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Inverse incomplete beta - - |
-
-
- Max = 0.977ε (Mean = 0.0976ε) |
-
- - Max = 4.88e+04ε (Mean = 3.16e+03ε) - - |
-
- - Max = 5.05e+04ε (Mean = 3.33e+03ε) - - |
-
- - Max = 2.93e+03ε (Mean = 198ε) - - |
-
Table 155. Error rates for ibetac_inva
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Inverse incomplete beta - - |
-
- - Max = 0.683ε (Mean = 0.0314ε) - - |
-
- - Max = 382ε (Mean = 22.2ε) - - |
-
- - Max = 315ε (Mean = 23.7ε) - - |
-
- - Max = 408ε (Mean = 26.7ε) - - |
-
Table 156. Error rates for ibetac_invb
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Inverse incomplete beta - - |
-
- - Max = 0.724ε (Mean = 0.0303ε) - - |
-
- - Max = 317ε (Mean = 19.8ε) - - |
-
- - Max = 369ε (Mean = 22.6ε) - - |
-
- - Max = 271ε (Mean = 16.4ε) - - |
-
Table 157. Error rates for jacobi_cn
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Jacobi Elliptic: Mathworld Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 71.6ε (Mean = 19.3ε) - - |
-
- - Max = 71.6ε (Mean = 19.4ε) - - |
-
- - Max = 45.8ε (Mean = 11.4ε) - - |
-
|
- - Jacobi Elliptic: Random Data - - |
-
-
- Max = 0.816ε (Mean = 0.0563ε) |
-
- - Max = 1.68ε (Mean = 0.443ε) - - |
-
- - Max = 1.68ε (Mean = 0.454ε) - - |
-
- - Max = 1.83ε (Mean = 0.455ε) - - |
-
|
- - Jacobi Elliptic: Random Small Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 10.4ε (Mean = 0.594ε) - - |
-
- - Max = 10.4ε (Mean = 0.602ε) - - |
-
- - Max = 26.2ε (Mean = 1.17ε) - - |
-
|
- - Jacobi Elliptic: Modulus near 1 - - |
-
-
- Max = 0.919ε (Mean = 0.127ε) |
-
- - Max = 675ε (Mean = 87.1ε) - - |
-
- - Max = 675ε (Mean = 86.8ε) - - |
-
- - Max = 513ε (Mean = 126ε) - - |
-
|
- - Jacobi Elliptic: Large Phi - - |
-
-
- Max = 14.2ε (Mean = 0.927ε) |
-
- - Max = 2.97e+04ε (Mean = 1.9e+03ε) - - |
-
- - Max = 2.97e+04ε (Mean = 1.9e+03ε) - - |
-
- - Max = 3.27e+04ε (Mean = 1.93e+03ε) - - |
-
Table 158. Error rates for jacobi_dn
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Jacobi Elliptic: Mathworld Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 49ε (Mean = 14ε) - - |
-
- - Max = 49ε (Mean = 14ε) - - |
-
- - Max = 34.3ε (Mean = 8.71ε) - - |
-
|
- - Jacobi Elliptic: Random Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.53ε (Mean = 0.473ε) - - |
-
- - Max = 1.53ε (Mean = 0.481ε) - - |
-
- - Max = 1.52ε (Mean = 0.466ε) - - |
-
|
- - Jacobi Elliptic: Random Small Values - - |
-
-
- Max = 0.5ε (Mean = 0.0122ε) |
-
- - Max = 22.4ε (Mean = 0.777ε) - - |
-
- - Max = 22.4ε (Mean = 0.763ε) - - |
-
- - Max = 16.1ε (Mean = 0.685ε) - - |
-
|
- - Jacobi Elliptic: Modulus near 1 - - |
-
-
- Max = 2.28ε (Mean = 0.194ε) |
-
- - Max = 3.75e+03ε (Mean = 293ε) - - |
-
- - Max = 3.75e+03ε (Mean = 293ε) - - |
-
- - Max = 6.24e+03ε (Mean = 482ε) - - |
-
|
- - Jacobi Elliptic: Large Phi - - |
-
-
- Max = 14.1ε (Mean = 0.897ε) |
-
- - Max = 2.82e+04ε (Mean = 1.79e+03ε) - - |
-
- - Max = 2.82e+04ε (Mean = 1.79e+03ε) - - |
-
- - Max = 1.67e+04ε (Mean = 1e+03ε) - - |
-
Table 159. Error rates for jacobi_sn
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Jacobi Elliptic: Mathworld Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 341ε (Mean = 80.7ε) - - |
-
- - Max = 341ε (Mean = 80.7ε) - - |
-
- - Max = 481ε (Mean = 113ε) - - |
-
|
- - Jacobi Elliptic: Random Data - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 2.01ε (Mean = 0.584ε) - - |
-
- - Max = 2.01ε (Mean = 0.593ε) - - |
-
- - Max = 1.92ε (Mean = 0.567ε) - - |
-
|
- - Jacobi Elliptic: Random Small Values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.99ε (Mean = 0.347ε) - - |
-
- - Max = 1.99ε (Mean = 0.347ε) - - |
-
- - Max = 2.11ε (Mean = 0.385ε) - - |
-
|
- - Jacobi Elliptic: Modulus near 1 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 109ε (Mean = 7.35ε) - - |
-
- - Max = 109ε (Mean = 7.38ε) - - |
-
- - Max = 23.2ε (Mean = 1.85ε) - - |
-
|
- - Jacobi Elliptic: Large Phi - - |
-
-
- Max = 12ε (Mean = 0.771ε) |
-
- - Max = 2.45e+04ε (Mean = 1.51e+03ε) - - |
-
- - Max = 2.45e+04ε (Mean = 1.51e+03ε) - - |
-
- - Max = 4.36e+04ε (Mean = 2.54e+03ε) - - |
-
Table 160. Error rates for jacobi_zeta
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Elliptic Integral Jacobi Zeta: Mathworld Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 1.66ε (Mean = 0.48ε) - - |
-
- - Max = 1.66ε (Mean = 0.48ε) - - |
-
- - Max = 1.52ε (Mean = 0.357ε) - - |
-
|
- - Elliptic Integral Jacobi Zeta: Random Data - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 2.99ε (Mean = 0.824ε) - - |
-
- - Max = 3.96ε (Mean = 1.06ε) - - |
-
- - Max = 3.89ε (Mean = 0.824ε) - - |
-
|
- - Elliptic Integral Jacobi Zeta: Large Phi Values - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 2.92ε (Mean = 0.951ε) - - |
-
- - Max = 3.05ε (Mean = 1.13ε) - - |
-
- - Max = 2.52ε (Mean = 0.977ε) - - |
-
Table 161. Error rates for laguerre(n, m, x)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Associated Laguerre Polynomials - - |
-
-
- Max = 0.84ε (Mean = 0.0358ε) |
-
-
- Max = 167ε (Mean = 6.38ε) |
-
- - Max = 167ε (Mean = 6.38ε) - - |
-
- - Max = 434ε (Mean = 11.1ε) - - |
-
Table 162. Error rates for laguerre(n, x)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Laguerre Polynomials - - |
-
-
- Max = 6.82ε (Mean = 0.408ε) |
-
-
- Max = 1.39e+04ε (Mean = 828ε) |
-
- - Max = 1.39e+04ε (Mean = 828ε) - - |
-
- - Max = 3.1e+03ε (Mean = 185ε) - - |
-
Table 163. Error rates for legendre_p
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Legendre Polynomials: Small Values - - |
-
-
- Max = 0.732ε (Mean = 0.0619ε) |
-
-
- Max = 69.2ε (Mean = 9.58ε) |
-
- - Max = 69.2ε (Mean = 9.58ε) - - |
-
- - Max = 211ε (Mean = 20.4ε) - - |
-
|
- - Legendre Polynomials: Large Values - - |
-
-
- Max = 0.632ε (Mean = 0.0693ε) |
-
-
- Max = 699ε (Mean = 59.6ε) |
-
- - Max = 699ε (Mean = 59.6ε) - - |
-
- - Max = 300ε (Mean = 33.2ε) - - |
-
Table 164. Error rates for legendre_p (associated)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Associated Legendre Polynomials: Small Values - - |
-
-
- Max = 0.999ε (Mean = 0.05ε) |
-
-
- Max = 175ε (Mean = 9.88ε) |
-
- - Max = 77.7ε (Mean = 5.59ε) - - |
-
- - Max = 121ε (Mean = 7.14ε) - - |
-
Table 165. Error rates for legendre_q
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Legendre Polynomials: Small Values - - |
-
-
- Max = 0.612ε (Mean = 0.0517ε) |
-
- - Max = 50.9ε (Mean = 9ε) - - |
-
- - Max = 50.9ε (Mean = 8.98ε) - - |
-
- - Max = 46.4ε (Mean = 7.32ε) - - |
-
|
- - Legendre Polynomials: Large Values - - |
-
-
- Max = 2.49ε (Mean = 0.202ε) |
-
- - Max = 5.98e+03ε (Mean = 478ε) - - |
-
- - Max = 5.98e+03ε (Mean = 478ε) - - |
-
- - Max = 4.6e+03ε (Mean = 366ε) - - |
-
Table 166. Error rates for lgamma
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - factorials - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0.991ε (Mean = 0.308ε) |
-
-
- Max = 0.991ε (Mean = 0.383ε) |
-
-
- Max = 0.914ε (Mean = 0.175ε) |
-
|
- - near 0 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 1.42ε (Mean = 0.566ε) |
-
-
- Max = 1.42ε (Mean = 0.566ε) |
-
-
- Max = 0.964ε (Mean = 0.462ε) |
-
|
- - near 1 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0.948ε (Mean = 0.36ε) |
-
-
- Max = 0.948ε (Mean = 0.36ε) |
-
-
- Max = 0.867ε (Mean = 0.468ε) |
-
|
- - near 2 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0.878ε (Mean = 0.242ε) |
-
-
- Max = 0.878ε (Mean = 0.242ε) |
-
-
- Max = 0.591ε (Mean = 0.159ε) |
-
|
- - near -10 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 3.81ε (Mean = 1.01ε) |
-
-
- Max = 3.81ε (Mean = 1.01ε) |
-
-
- Max = 4.22ε (Mean = 1.33ε) |
-
|
- - near -55 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 0.821ε (Mean = 0.513ε) |
-
-
- Max = 1.59ε (Mean = 0.587ε) |
-
-
- Max = 0.821ε (Mean = 0.419ε) |
-
Table 167. Error rates for log1p
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Random test data - - |
-
-
- Max = 0.818ε (Mean = 0.227ε) |
-
-
- Max = 0.846ε (Mean = 0.153ε) |
-
-
- Max = 2.3ε (Mean = 0.66ε) |
-
-
- Max = 0.509ε (Mean = 0.057ε) |
-
Table 168. Error rates for non central beta CDF
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Non Central Beta, medium parameters - - |
-
-
- Max = 0.998ε (Mean = 0.0649ε) |
-
- - Max = 824ε (Mean = 27.4ε) - - |
-
- - Max = 832ε (Mean = 38.1ε) - - |
-
- - Max = 242ε (Mean = 31ε) - - |
-
|
- - Non Central Beta, large parameters - - |
-
-
- Max = 1.18ε (Mean = 0.175ε) |
-
- - Max = 2.5e+04ε (Mean = 3.78e+03ε) - - |
-
- - Max = 2.57e+04ε (Mean = 4.45e+03ε) - - |
-
- - Max = 3.66e+03ε (Mean = 500ε) - - |
-
Table 169. Error rates for non central beta CDF complement
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Non Central Beta, medium parameters - - |
-
-
- Max = 0.998ε (Mean = 0.0936ε) |
-
- - Max = 396ε (Mean = 50.7ε) - - |
-
- - Max = 554ε (Mean = 57.2ε) - - |
-
- - Max = 624ε (Mean = 62.7ε) - - |
-
|
- - Non Central Beta, large parameters - - |
-
-
- Max = 0.986ε (Mean = 0.188ε) |
-
- - Max = 6.83e+03ε (Mean = 993ε) - - |
-
- - Max = 3.56e+03ε (Mean = 707ε) - - |
-
- - Max = 1.25e+04ε (Mean = 1.49e+03ε) - - |
-
Table 170. Error rates for non central chi squared CDF
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Non Central Chi Squared, medium parameters - - |
-
-
- Max = 0.99ε (Mean = 0.0544ε) |
-
- - Max = 46.5ε (Mean = 10.3ε) - - |
-
- - Max = 115ε (Mean = 13.9ε) - - |
-
- - Max = 48.9ε (Mean = 10ε) - - |
-
|
- - Non Central Chi Squared, large parameters - - |
-
-
- Max = 1.07ε (Mean = 0.102ε) |
-
- - Max = 3.07e+03ε (Mean = 336ε) - - |
-
- - Max = 6.17e+03ε (Mean = 677ε) - - |
-
- - Max = 9.79e+03ε (Mean = 723ε) - - |
-
Table 171. Error rates for non central chi squared CDF complement
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Non Central Chi Squared, medium parameters - - |
-
-
- Max = 0.96ε (Mean = 0.0635ε) |
-
- - Max = 107ε (Mean = 17.2ε) - - |
-
- - Max = 171ε (Mean = 22.8ε) - - |
-
- - Max = 98.6ε (Mean = 15.8ε) - - |
-
|
- - Non Central Chi Squared, large parameters - - |
-
-
- Max = 2.11ε (Mean = 0.278ε) |
-
- - Max = 5.02e+03ε (Mean = 630ε) - - |
-
- - Max = 5.1e+03ε (Mean = 577ε) - - |
-
- - Max = 5.43e+03ε (Mean = 705ε) - - |
-
Table 172. Error rates for non central t CDF
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Non Central T - - |
-
-
- Max = 0.796ε (Mean = 0.0691ε) |
-
- - Max = 139ε (Mean = 31ε) - - |
-
- - Max = 145ε (Mean = 30.9ε) - - |
-
- - Max = 135ε (Mean = 32.1ε) - - |
-
|
- - Non Central T (small non-centrality) - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 3.86ε (Mean = 1.4ε) - - |
-
- - Max = 9.15ε (Mean = 2.13ε) - - |
-
- - Max = 6.17ε (Mean = 1.45ε) - - |
-
|
- - Non Central T (large parameters) - - |
-
-
- Max = 257ε (Mean = 72.1ε) |
-
- - Max = 5.26e+05ε (Mean = 1.48e+05ε) - - |
-
- - Max = 5.24e+05ε (Mean = 1.47e+05ε) - - |
-
- - Max = 286ε (Mean = 62.8ε) - - |
-
Table 173. Error rates for non central t CDF complement
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Non Central T - - |
-
-
- Max = 0.707ε (Mean = 0.0497ε) |
-
- - Max = 201ε (Mean = 31.7ε) - - |
-
- - Max = 340ε (Mean = 43.2ε) - - |
-
- - Max = 154ε (Mean = 32.1ε) - - |
-
|
- - Non Central T (small non-centrality) - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 10.5ε (Mean = 2.13ε) - - |
-
- - Max = 10.5ε (Mean = 2.39ε) - - |
-
- - Max = 4.6ε (Mean = 1.63ε) - - |
-
|
- - Non Central T (large parameters) - - |
-
-
- Max = 478ε (Mean = 96.3ε) |
-
- - Max = 9.79e+05ε (Mean = 1.97e+05ε) - - |
-
- - Max = 9.79e+05ε (Mean = 1.97e+05ε) - - |
-
- - Max = 227ε (Mean = 50.4ε) - - |
-
Table 174. Error rates for owens_t
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Owens T (medium small values) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 3.34ε (Mean = 0.944ε) - - |
-
- - Max = 3.34ε (Mean = 0.911ε) - - |
-
- - Max = 4.37ε (Mean = 0.98ε) - - |
-
|
- - Owens T (large and diverse values) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 49ε (Mean = 2.16ε) - - |
-
- - Max = 24.5ε (Mean = 1.39ε) - - |
-
- - Max = 3.78ε (Mean = 0.621ε) - - |
-
Table 175. Error rates for polygamma
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Mathematica Data - - |
-
-
- Max = 0.824ε (Mean = 0.0574ε) |
-
- - Max = 7.38ε (Mean = 1.84ε) - - |
-
- - Max = 34.3ε (Mean = 7.65ε) - - |
-
- - Max = 9.32ε (Mean = 1.95ε) - - |
-
|
- - Mathematica Data - large arguments - - |
-
-
- Max = 0.998ε (Mean = 0.0592ε) |
-
- - Max = 2.23ε (Mean = 0.323ε) - - |
-
- - Max = 11.1ε (Mean = 0.848ε) - - |
-
- - Max = 150ε (Mean = 13.9ε) - - |
-
|
- - Mathematica Data - negative arguments - - |
-
-
- Max = 0.516ε (Mean = 0.022ε) |
-
- - Max = 269ε (Mean = 87.7ε) - - |
-
- - Max = 269ε (Mean = 88.4ε) - - |
-
- - Max = 497ε (Mean = 129ε) - - |
-
|
- - Mathematica Data - large negative arguments - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 155ε (Mean = 96.4ε) - - |
-
- - Max = 155ε (Mean = 96.4ε) - - |
-
- - Max = 162ε (Mean = 101ε) - - |
-
|
- - Mathematica Data - small arguments - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 3.33ε (Mean = 0.75ε) - - |
-
- - Max = 3.33ε (Mean = 0.75ε) - - |
-
- - Max = 3ε (Mean = 0.496ε) - - |
-
|
- - Mathematica Data - Large orders and other bug cases - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 54.5ε (Mean = 13.3ε) - - |
-
- - Max = 145ε (Mean = 55.9ε) - - |
-
- - Max = 200ε (Mean = 57.2ε) - - |
-
Table 176. Error rates for powm1
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - powm1 - - |
-
- - Max = 1.06ε (Mean = 0.425ε) - - |
-
- - Max = 2.04ε (Mean = 0.493ε) - - |
-
- - Max = 1.88ε (Mean = 0.49ε) - - |
-
- - Max = 1.84ε (Mean = 0.486ε) - - |
-
Table 177. Error rates for sin_pi
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - sin_pi and cos_pi - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.996ε (Mean = 0.335ε) - - |
-
- - Max = 0.996ε (Mean = 0.336ε) - - |
-
- - Max = 0.99ε (Mean = 0.328ε) - - |
-
|
- - sin_pi and cos_pi near integers and half integers - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.976ε (Mean = 0.293ε) - - |
-
- - Max = 0.976ε (Mean = 0.293ε) - - |
-
- - Max = 0.996ε (Mean = 0.343ε) - - |
-
Table 178. Error rates for sph_bessel
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel j: Random Data - - |
-
-
- Max = 243ε (Mean = 13.3ε) |
-
-
- Max = 0.978ε (Mean = 0.0445ε) |
-
- - Max = 243ε (Mean = 33.7ε) - - |
-
- - Max = 245ε (Mean = 16.3ε) - - |
-
Table 179. Error rates for sph_bessel_prime
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Bessel j': Random Data - - |
-
- - Max = 0.753ε (Mean = 0.0343ε) - - |
-
- - Max = 167ε (Mean = 12ε) - - |
-
- - Max = 167ε (Mean = 33.2ε) - - |
-
- - Max = 307ε (Mean = 25.2ε) - - |
-
Table 180. Error rates for sph_neumann
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - y: Random Data - - |
-
-
- Max = 234ε (Mean = 19.5ε) |
-
-
- Max = 0.995ε (Mean = 0.0665ε) |
-
- - Max = 234ε (Mean = 19.8ε) - - |
-
- - Max = 281ε (Mean = 31.1ε) - - |
-
Table 181. Error rates for sph_neumann_prime
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - y': Random Data - - |
-
- - Max = 0.988ε (Mean = 0.0869ε) - - |
-
- - Max = 158ε (Mean = 18.8ε) - - |
-
- - Max = 158ε (Mean = 20.2ε) - - |
-
- - Max = 296ε (Mean = 25.6ε) - - |
-
Table 182. Error rates for spherical_harmonic_i
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Spherical Harmonics - - |
-
- - Max = 1.36ε (Mean = 0.0765ε) - - |
-
- - Max = 2.89e+03ε (Mean = 108ε) - - |
-
- - Max = 1.03e+04ε (Mean = 327ε) - - |
-
- - Max = 2.27e+04ε (Mean = 725ε) - - |
-
Table 183. Error rates for spherical_harmonic_r
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Spherical Harmonics - - |
-
- - Max = 1.58ε (Mean = 0.0707ε) - - |
-
- - Max = 2.89e+03ε (Mean = 108ε) - - |
-
- - Max = 1.03e+04ε (Mean = 327ε) - - |
-
- - Max = 2.27e+04ε (Mean = 725ε) - - |
-
Table 184. Error rates for sqrt1pm1
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - sqrt1pm1 - - |
-
- - Max = 1.3ε (Mean = 0.404ε) - - |
-
- - Max = 1.33ε (Mean = 0.404ε) - - |
-
- - Max = 1.54ε (Mean = 0.563ε) - - |
-
- - Max = 1.35ε (Mean = 0.497ε) - - |
-
Table 185. Error rates for tgamma
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - factorials - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 2.67ε (Mean = 0.617ε) |
-
-
- Max = 172ε (Mean = 41ε) |
-
-
- Max = 1.85ε (Mean = 0.566ε) |
-
|
- - near 0 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 2ε (Mean = 0.608ε) |
-
-
- Max = 2ε (Mean = 0.647ε) |
-
-
- Max = 1.5ε (Mean = 0.635ε) |
-
|
- - near 1 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 2.51ε (Mean = 1.02ε) |
-
-
- Max = 3.01ε (Mean = 1.06ε) |
-
-
- Max = 1.1ε (Mean = 0.59ε) |
-
|
- - near 2 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 4.1ε (Mean = 1.55ε) |
-
-
- Max = 5.01ε (Mean = 1.89ε) |
-
-
- Max = 2ε (Mean = 0.733ε) |
-
|
- - near -10 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 1.75ε (Mean = 0.895ε) |
-
-
- Max = 1.75ε (Mean = 0.819ε) |
-
-
- Max = 1.86ε (Mean = 0.881ε) |
-
|
- - near -55 - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
-
- Max = 2.69ε (Mean = 1.09ε) |
-
-
- Max = 98.5ε (Mean = 53.4ε) |
-
-
- Max = 2.7ε (Mean = 1.35ε) |
-
Table 186. Error rates for tgamma1pm1
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - tgamma1pm1(dz) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 1.12ε (Mean = 0.49ε) - - |
-
- - Max = 6.61ε (Mean = 0.84ε) - - |
-
- - Max = 3.31ε (Mean = 0.517ε) - - |
-
Table 187. Error rates for tgamma_delta_ratio
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - tgamma + small delta ratios - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 5.83ε (Mean = 1.3ε) - - |
-
- - Max = 15.4ε (Mean = 2.09ε) - - |
-
- - Max = 7.56ε (Mean = 1.31ε) - - |
-
|
- - tgamma + small delta ratios (negative delta) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 7.94ε (Mean = 1.4ε) - - |
-
- - Max = 18.3ε (Mean = 2.03ε) - - |
-
- - Max = 7.43ε (Mean = 1.42ε) - - |
-
|
- - tgamma + small integer ratios - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 1.96ε (Mean = 0.677ε) - - |
-
- - Max = 1.96ε (Mean = 0.677ε) - - |
-
- - Max = 2.74ε (Mean = 0.736ε) - - |
-
|
- - tgamma + small integer ratios (negative delta) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 1.62ε (Mean = 0.451ε) - - |
-
- - Max = 1.62ε (Mean = 0.451ε) - - |
-
- - Max = 2.15ε (Mean = 0.685ε) - - |
-
|
- - integer tgamma ratios - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.997ε (Mean = 0.4ε) - - |
-
- - Max = 0.997ε (Mean = 0.4ε) - - |
-
- - Max = 0.968ε (Mean = 0.386ε) - - |
-
|
- - integer tgamma ratios (negative delta) - - |
-
- - Max = 0ε (Mean = 0ε) - - |
-
- - Max = 0.853ε (Mean = 0.176ε) - - |
-
- - Max = 0.853ε (Mean = 0.176ε) - - |
-
- - Max = 0.974ε (Mean = 0.175ε) - - |
-
Table 188. Error rates for tgamma (incomplete)
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - tgamma(a, z) medium values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 8.47ε (Mean = 1.9ε) - - |
-
- - Max = 412ε (Mean = 95.5ε) - - |
-
- - Max = 8.14ε (Mean = 1.76ε) - - |
-
|
- - tgamma(a, z) small values - - |
-
-
- Max = 0.753ε (Mean = 0.0474ε) |
-
- - Max = 2.31ε (Mean = 0.775ε) - - |
-
- - Max = 2.13ε (Mean = 0.717ε) - - |
-
- - Max = 2.53ε (Mean = 0.66ε) - - |
-
|
- - tgamma(a, z) integer and half integer values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 5.52ε (Mean = 1.48ε) - - |
-
- - Max = 79.6ε (Mean = 20.9ε) - - |
-
- - Max = 5.16ε (Mean = 1.33ε) - - |
-
Table 189. Error rates for tgamma_lower
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - tgamma(a, z) medium values - - |
-
-
- Max = 0.833ε (Mean = 0.0315ε) |
-
- - Max = 6.79ε (Mean = 1.46ε) - - |
-
- - Max = 363ε (Mean = 63.8ε) - - |
-
- - Max = 5.62ε (Mean = 1.49ε) - - |
-
|
- - tgamma(a, z) small values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 1.97ε (Mean = 0.555ε) - - |
-
- - Max = 1.97ε (Mean = 0.558ε) - - |
-
- - Max = 1.57ε (Mean = 0.525ε) - - |
-
|
- - tgamma(a, z) integer and half integer values - - |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 4.83ε (Mean = 1.15ε) - - |
-
- - Max = 84.7ε (Mean = 17.5ε) - - |
-
- - Max = 2.69ε (Mean = 0.849ε) - - |
-
Table 190. Error rates for tgamma_ratio
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - tgamma ratios - - |
-
- - Max = 0.694ε (Mean = 0.0347ε) - - |
-
- - Max = 2.99ε (Mean = 1.15ε) - - |
-
- - Max = 174ε (Mean = 61.2ε) - - |
-
- - Max = 3.28ε (Mean = 1.12ε) - - |
-
Table 191. Error rates for trigamma
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Mathematica Data - - |
-
-
- Max = 0.998ε (Mean = 0.105ε) |
-
- - Max = 1.28ε (Mean = 0.449ε) - - |
-
- - Max = 1.28ε (Mean = 0.449ε) - - |
-
- - Max = 1ε (Mean = 0.382ε) - - |
-
Table 192. Error rates for zeta
-| - | -
-
- GNU C++ version 7.1.0 |
-
-
- GNU C++ version 7.1.0 |
-
-
- Sun compiler version 0x5150 |
-
-
- Microsoft Visual C++ version 14.1 |
-
|---|---|---|---|---|
|
- - Zeta: Random values greater than 1 - - |
-
-
- Max = 0.846ε (Mean = 0.0833ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.846ε (Mean = 0.0833ε) - - |
-
- - Max = 0.836ε (Mean = 0.093ε) - - |
-
|
- - Zeta: Random values less than 1 - - |
-
-
- Max = 7.03ε (Mean = 2.93ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 70.1ε (Mean = 17.1ε) - - |
-
- - Max = 6.84ε (Mean = 3.12ε) - - |
-
|
- - Zeta: Values close to and greater than 1 - - |
-
-
- Max = 0.995ε (Mean = 0.5ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.995ε (Mean = 0.5ε) - - |
-
- - Max = 0.994ε (Mean = 0.421ε) - - |
-
|
- - Zeta: Values close to and less than 1 - - |
-
-
- Max = 0.998ε (Mean = 0.508ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 0.998ε (Mean = 0.508ε) - - |
-
- - Max = 0.991ε (Mean = 0.375ε) - - |
-
|
- - Zeta: Integer arguments - - |
-
-
- Max = 9ε (Mean = 3.06ε) |
-
-
- Max = 0ε (Mean = 0ε) |
-
- - Max = 28ε (Mean = 5.62ε) - - |
-
- - Max = 9ε (Mean = 3ε) - - |
-
Last revised: March 09, 2018 at 13:43:44 GMT |
-- |