diff options
| author | Mark Dickinson <dickinsm@gmail.com> | 2009-12-19 11:07:23 (GMT) |
|---|---|---|
| committer | Mark Dickinson <dickinsm@gmail.com> | 2009-12-19 11:07:23 (GMT) |
| commit | 5ff37ae14b3b766e5194b02c661c0c16027dff9d (patch) | |
| tree | 9a836e2ee9afa067dc7a5363375a44bf9f58d989 /Lib | |
| parent | 0c6a0e331846dc706c54029d1b72cc87e4c56d12 (diff) | |
| download | cpython-5ff37ae14b3b766e5194b02c661c0c16027dff9d.zip cpython-5ff37ae14b3b766e5194b02c661c0c16027dff9d.tar.gz cpython-5ff37ae14b3b766e5194b02c661c0c16027dff9d.tar.bz2 | |
Issue #3366: Add error function and complementary error function to
math module.
Diffstat (limited to 'Lib')
| -rw-r--r-- | Lib/test/math_testcases.txt | 82 |
1 files changed, 82 insertions, 0 deletions
diff --git a/Lib/test/math_testcases.txt b/Lib/test/math_testcases.txt index bb99290..bd8813e 100644 --- a/Lib/test/math_testcases.txt +++ b/Lib/test/math_testcases.txt @@ -47,6 +47,87 @@ -- MPFR homepage at http://www.mpfr.org for more information about the -- MPFR project. + +------------------------- +-- erf: error function -- +------------------------- + +erf0000 erf 0.0 -> 0.0 +erf0001 erf -0.0 -> -0.0 +erf0002 erf inf -> 1.0 +erf0003 erf -inf -> -1.0 +erf0004 erf nan -> nan + +-- tiny values +erf0010 erf 1e-308 -> 1.1283791670955125e-308 +erf0011 erf 5e-324 -> 4.9406564584124654e-324 +erf0012 erf 1e-10 -> 1.1283791670955126e-10 + +-- small integers +erf0020 erf 1 -> 0.84270079294971489 +erf0021 erf 2 -> 0.99532226501895271 +erf0022 erf 3 -> 0.99997790950300136 +erf0023 erf 4 -> 0.99999998458274209 +erf0024 erf 5 -> 0.99999999999846256 +erf0025 erf 6 -> 1.0 + +erf0030 erf -1 -> -0.84270079294971489 +erf0031 erf -2 -> -0.99532226501895271 +erf0032 erf -3 -> -0.99997790950300136 +erf0033 erf -4 -> -0.99999998458274209 +erf0034 erf -5 -> -0.99999999999846256 +erf0035 erf -6 -> -1.0 + +-- huge values should all go to +/-1, depending on sign +erf0040 erf -40 -> -1.0 +erf0041 erf 1e16 -> 1.0 +erf0042 erf -1e150 -> -1.0 +erf0043 erf 1.7e308 -> 1.0 + + +---------------------------------------- +-- erfc: complementary error function -- +---------------------------------------- + +erfc0000 erfc 0.0 -> 1.0 +erfc0001 erfc -0.0 -> 1.0 +erfc0002 erfc inf -> 0.0 +erfc0003 erfc -inf -> 2.0 +erfc0004 erfc nan -> nan + +-- tiny values +erfc0010 erfc 1e-308 -> 1.0 +erfc0011 erfc 5e-324 -> 1.0 +erfc0012 erfc 1e-10 -> 0.99999999988716204 + +-- small integers +erfc0020 erfc 1 -> 0.15729920705028513 +erfc0021 erfc 2 -> 0.0046777349810472662 +erfc0022 erfc 3 -> 2.2090496998585441e-05 +erfc0023 erfc 4 -> 1.541725790028002e-08 +erfc0024 erfc 5 -> 1.5374597944280349e-12 +erfc0025 erfc 6 -> 2.1519736712498913e-17 + +erfc0030 erfc -1 -> 1.8427007929497148 +erfc0031 erfc -2 -> 1.9953222650189528 +erfc0032 erfc -3 -> 1.9999779095030015 +erfc0033 erfc -4 -> 1.9999999845827421 +erfc0034 erfc -5 -> 1.9999999999984626 +erfc0035 erfc -6 -> 2.0 + +-- as x -> infinity, erfc(x) behaves like exp(-x*x)/x/sqrt(pi) +erfc0040 erfc 20 -> 5.3958656116079012e-176 +erfc0041 erfc 25 -> 8.3001725711965228e-274 +erfc0042 erfc 27 -> 5.2370464393526292e-319 +erfc0043 erfc 28 -> 0.0 + +-- huge values +erfc0050 erfc -40 -> 2.0 +erfc0051 erfc 1e16 -> 0.0 +erfc0052 erfc -1e150 -> 2.0 +erfc0053 erfc 1.7e308 -> 0.0 + + --------------------------------------------------------- -- lgamma: log of absolute value of the gamma function -- --------------------------------------------------------- @@ -250,6 +331,7 @@ gam0132 gamma -4503599627370495.5 -> 0.0 gam0140 gamma -63.349078729022985 -> 4.1777971677761880e-88 gam0141 gamma -127.45117632943295 -> 1.1831110896236810e-214 + ----------------------------------------------------------- -- expm1: exp(x) - 1, without precision loss for small x -- ----------------------------------------------------------- |