[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Changes by Mark Dickinson dicki...@gmail.com: -- status: pending - closed ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Mark Dickinson dicki...@gmail.com added the comment: Will close this unless there's an outcry of support for exp2 and log2. nirinA, if you're still interested in adding the euler constant, please open another issue. -- status: open - pending ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Mark Dickinson dicki...@gmail.com added the comment: The last two functions to consider adding are exp2 and log2. Does anyone care about these? -- ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Daniel Stutzbach dan...@stutzbachenterprises.com added the comment: Any time I've ever needed log2(x), log(x)/log(2) was sufficient. In Python, exp2(x) can be spelled 2.0**x. What would exp2(x) gain us? -- ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Mark Dickinson dicki...@gmail.com added the comment: In Python, exp2(x) can be spelled 2.0**x. What would exp2(x) gain us? Not much, I suspect. :) I'd expect (but am mostly guessing) exp2(x) to have better accuracy than pow(2.0, x) for some math libraries; I'd further guess that it's somewhat more likely to give exact results for (small) integral x. Similarly for log2: log2(n) should be a touch more accurate than log(n)/log(2), and the time you're most likely to notice the difference is when n is an exact power of 2. But we've already got the 'bit_length' method for integers, which fills some of the potential uses for log2. So unless there's a feeling that these functions are needed, I'd rather leave them out. -- ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Mark Dickinson dicki...@gmail.com added the comment: Added erf and erfc in r76879 (trunk), r76880 (py3k). -- ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Mark Dickinson dicki...@gmail.com added the comment: Oops. That's r76878 (trunk) and r76879 (py3k). -- ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Mark Dickinson dicki...@gmail.com added the comment: Here's a patch to add expm1. Rather than putting the code in pymath.c, which is the wrong place (see issue #7518), I've added a new file Modules/_math.c for this; log1p, atanh, etc. should also eventually be moved from pymath.c into this file. I'm fairly confident that the maths and numerics are okay, but less confident about my changes to the build structure; if anyone has a chance to test this patch, especially on Windows, I'd welcome feedback. I've tested it on OS X, and will test on Linux. -- Added file: http://bugs.python.org/file15574/expm1.patch ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Mark Dickinson dicki...@gmail.com added the comment: I committed the patch for expm1 in r76861 (trunk) and r76863 (py3k), with one small change: instead of using 2 * exp(x/2) * sinh(x/2), expm1 is now computed using a method due to Kahan that involves only exp and log. This seems a little safer, and guards against problems on platforms with a naive implementation of sinh. (I *hope* no such platforms exist, but suspect that's wishful thinking. :-) Thanks to Eric Smith for testing the build system changes on Windows. -- ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Mark Dickinson dicki...@gmail.com added the comment: nirinA: thanks for the erf patch. It's fine as far as it goes; the main technical issue is that the series development only converges at a sensible rate for smallish x; for larger x something more is needed. Here's a prototype patch for the erf and erfc functions that uses a power series (not quite the same as the series nirinA used; by pulling out a factor of exp(-x*2) you can make all coefficients in the remaining series positive, which is good for the numerics) for small x, and a continued fraction expansion for larger x. The erf and erfc functions are currently written in Python. I'll do some more testing (and possibly tweaking) of this patch and then translate the Python to C. -- Added file: http://bugs.python.org/file15539/erf.patch ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Mark Dickinson dicki...@gmail.com added the comment: Here's the C version. -- Added file: http://bugs.python.org/file15540/erf_c.patch ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Mark Dickinson dicki...@gmail.com added the comment: nirinA: thanks for prodding this issue. Yes, it is still alive (just). :) About adding the Euler constant: I agree this should be added. Do you have time to expand your patch to include docs and a test or two? For expm1, I was planning to use the libm function when it exists (which I expect it will on most platforms), and just use a quick hack based on the identity expm1(x) = sinh(x/2)*exp(x/2) for platforms where it's missing. I'll look at the erf and erfc implementations. Daniel: re incomplete beta and gamma functions, I'd prefer to limit this particular issue to the C99 math functions. It's difficult to know where to draw the line, but it seems to me that these are really the domain of numpy/scipy. And they involve multiple input arguments, which makes them *darned hard* to write and test! Anyway, if you'd like to see those added to Python's math module, maybe this could be brought up on python-dev to see how much support there is. -- ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Mark Dickinson dicki...@gmail.com added the comment: expm1(x) = sinh(x/2)*exp(x/2) Should be 2*sinh(x/2)*exp(x/2). -- ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Mark Dickinson dicki...@gmail.com added the comment: lgamma patch committed to trunk (with looser tests) in r76755. -- ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
nirinA raseliarison nir...@mail.blueline.mg added the comment: having the gamma function, one certainly needs the other Euler constant: C = 0.5772 the C constant is taken from GSL -- Added file: http://bugs.python.org/file15488/pymath.h.diff ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
nirinA raseliarison nir...@mail.blueline.mg added the comment: for expm1, we use the Taylor development near zero, but we have to precise what means small value for x. here this means abs(x) math.log(2.0). one can also use abs(x) C -- Added file: http://bugs.python.org/file15489/mathmodule.c.diff ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
nirinA raseliarison nir...@mail.blueline.mg added the comment: finally, for the error function, with the same kind of idea as with expm1, here is a pure python definition these patches are against r27a1:76674 if all these make sense, i'll check for NAN, infinity, test suite... -- Added file: http://bugs.python.org/file15490/erf.py ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
nirinA raseliarison nir...@mail.blueline.mg added the comment: may be some error when i send this the first time, i cannot see the file, so i resend mathmodule.c.diff sorry if you get it twice -- Added file: http://bugs.python.org/file15491/mathmodule.c.diff ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Ned Deily n...@acm.org added the comment: Verified that r75454 makes the gamma test errors go away on a PPC Mac. -- ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Ned Deily n...@acm.org added the comment: For the record, these OS X installer build scripts (running on 10.5) results in these gcc options: gcc-4.0 -arch ppc -arch i386 -isysroot /Developer/SDKs/MacOSX10.4u.sdk - fno-strict-aliasing -fno-common -dynamic -DNDEBUG -g -O3 - I/tmp/_py/libraries/usr/local/include -I. -IInclude -I/usr/local/include -I/private/tmp/_t/Include -I/private/tmp/_py/_bld/python -c /private/tmp/_t/Modules/mathmodule.c -o build/temp.macosx-10.3-fat- 3.2/private/tmp/_t/Modules/mathmodule.o and: $ gcc-4.0 --version powerpc-apple-darwin9-gcc-4.0.1 (GCC) 4.0.1 (Apple Inc. build 5493) -- ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Mark Dickinson dicki...@gmail.com added the comment: Hmm. It looks as though the gamma computation itself is fine; it's the accuracy check that's going wrong. I'm suspecting an endianness issue and/or a struct module bug. Ned, do you still get these failures with a direct single-architecture build on PPC? Or just for the universal build? -- ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Tim Peters tim.pet...@gmail.com added the comment: Adding -mno-fused-madd would be worth trying. It usually fixes PPC bugs ;-) -- ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Mark Dickinson dicki...@gmail.com added the comment: It was a stupid Mark bug. I'd missed out a '' from the struct.unpack call that was translating floats into integers, for the purposes of computing ulps difference. Fixed in r75454 (trunk), r75455 (py3k). Thanks for reporting this, Ned. -- ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Mark Dickinson dicki...@gmail.com added the comment: BTW, the gamma computation shouldn't be at all fragile, unless I've messed up somewhere: the Lanczos sum is evaluated as a rational function in which both numerator and denominator have only positive coefficients, so there's little danger of nasty cancellations boosting the relative error. I'd be surprised if use of fma instructions made more than 1 or 2 ulps difference to the result, but I'll take a look. -- ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Tim Peters tim.pet...@gmail.com added the comment: Mark, you needn't bother: you found the smoking gun already! From your description, I agree it would be very surprising if FMA made a significant difference in the absence of catastrophic cancellation. -- ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Ned Deily n...@acm.org added the comment: FYI, approximately 20 of the gamma test cases fail on PPC Macs. Attached are snippets from regrtest runs with trunk and with py3k, both on a G4 ppc (32-bit) running OS X 10.5. Identical failures for trunk (did not try py3k) were observed on a G3 ppc with OS X 10.4. -- nosy: +ned.deily Added file: http://bugs.python.org/file15152/gamma-failures.txt ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Tim Peters tim.pet...@gmail.com added the comment: FYI, mysterious numeric differences on PPC are often due to the C compiler generated code to use the fused multiply-add HW instruction. In which case, find a way to turn that off :-) -- nosy: +tim_one ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Mark Dickinson dicki...@gmail.com added the comment: New patch for gamma , with some tweaks: - return exact values for integral arguments: gamma(1) through gamma(23) - apply a cheap correction to improve accuracy of exp and pow computations - use a different form of the reflection formula: gamma(x) = -pi/sinpi(x)/x/gamma(x) (the usual reflection formula has accuracy problems for x close to a power of 2; e.g., x in (-64,-63) or x in (-128, -127)) - avoid duplication formula for large negative arguments - add a few extra tests On my machine, testing with approx. 10**7 random samples, this version achieves an accuracy of = 10 ulps across the domain (comparing with correctly-rounded results generated by MPFR). Limiting the test to arguments in the range (-256.0, 1/256.0] + [1/256.0, 256.0) (with each float in that range equally likely), the error in ulps from 10**6 samples has mean -0.104 and standard deviation 1.230. I plan to check this in in a week or two. Feedback welcome! It would be especially useful to know whether this patch compiles correctly on Windows. -- keywords: +needs review stage: - commit review Added file: http://bugs.python.org/file14940/gamma4.patch ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Daniel Stutzbach dan...@stutzbachenterprises.com added the comment: I'll test your patch on Windows. Are you working against the trunk or the py3k branch? -- ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Mark Dickinson dicki...@gmail.com added the comment: Thanks! The patch is against the trunk. (It doesn't quite apply cleanly to py3k, but the changes needed to make it do so should be minimal.) Hmm. Rereading my previous comment, I seem to have a blindness for negative signs: gamma(x) = -pi/sinpi(x)/x/gamma(x) should have been gamma(-x) = -pi/sinpi(x)/x/gamma(x) and (-256.0, 1/256.0] + [1/256.0, 256.0) should have been (-256.0, -1/256.0] + [1/256.0, 256.0) -- ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Daniel Stutzbach dan...@stutzbachenterprises.com added the comment: I'm only setup to test the official Windows build setup under PCbuild. I'm not testing the legacy build setups under PC/VC6, PC/VS7.1, or PC/VS8.0. The patch against the trunk failed for PC/VC6/pythoncore.dsp. I don't need that to build, though. Your patch built fine, with one warning about a loss of precision on the following line in sinpi(): n = round(2.0*y); I recommend explicitly casting the result of round() to int, to get rid of the warning and because explicit is better than implicit. :) I ran the following tests, all of which passed: PCbuild/python.exe Lib/test/regrtest.py -v test_math I appreciate your work on this patch. Let me know if there's anything else I can do. -- ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Mark Dickinson dicki...@gmail.com added the comment: Many thanks, Daniel. The patch against the trunk failed for PC/VC6/pythoncore.dsp. I don't need that to build, though. I've no idea why that would happen. A line-ending issue, perhaps? If it doesn't stop me committing the change, then perhaps it's not a problem. Your patch built fine, with one warning about a loss of precision on the following line in sinpi(): n = round(2.0*y); I recommend explicitly casting the result of round() to int, to get rid of the warning and because explicit is better than implicit. :) Done. Thanks! -- ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Mark Dickinson dicki...@gmail.com added the comment: gamma5.patch. very minor changes from the last patch: - add (int) cast suggested by Daniel Stutzbach - Misc/NEWS entry - ..versionadded in docs - minor corrections to some comments -- Added file: http://bugs.python.org/file14943/gamma5.patch ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Mark Dickinson dicki...@gmail.com added the comment: Here's a more careful patch for just the gamma function. It's a fairly direct implementation of Lanczos' formula, with the choice of parameters (N=13, g=6.024680040776729583740234375) taken from the Boost library. In testing of random values and known difficult values, it's consistently giving errors of 5ulps across its domain. This is considerably better than the error from the exp(lgamma(x)) method, since the exp call alone can easily introduce errors of hundreds of ulps for larger values of x. I'd appreciate any feedback, especially if anyone has the chance to test on Windows: I'd like to know whether I got the build modifications right. This patch *doesn't* use the system gamma function, even when available. At least on OS X 10.5.8, the supplied gamma function has pretty terrible accuracy, and some severe numerical problems near negative integers. I don't imagine Linux is much better. Once this is working, I'll concentrate on lgamma. Then erf and erfc. -- Added file: http://bugs.python.org/file14927/gamma3.patch ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Mark Dickinson dicki...@gmail.com added the comment: Finally got around to looking at this properly. Here's a first attempt at a patch to add gamma, lgamma, erf and erfc to the math module. It uses the pymath.c.diff code from nirinA, and adds docs, tests, and the extra infrastructure needed for the build system. The code has gone in a new file called Modules/math_cextra.c. The old approach of sticking things in pymath.c really isn't right, since that ends up putting the extra code into the core Python executable instead of the math module. There are currently many test failures; some of these are undoubtedly due to the tests being too strict, but some of them show problems with the code for these functions. It should be possible to have erf and erfc produce results accurate to within a few ulps (50, say) over the entire extended real line; getting gamma and lgamma accurate for positive inputs should also be perfectly possible. Negative arguments seem to be more difficult to get right. To test the code on non-Windows, build with something like: CC='gcc -DTEST_GAMMA' ./configure make the '-DTEST_GAMMA' just forces the build to use nirinA's code; without this, the math module will use the libm functions if they're available. This is just work-in-progress; apart from the test failures, there's still a lot of polishing to do before this can go in. The patch is against the trunk. -- versions: +Python 3.2 -Python 3.1 Added file: http://bugs.python.org/file14844/gamma.patch ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Changes by Mark Dickinson dicki...@gmail.com: Removed file: http://bugs.python.org/file10983/unnamed ___ Python tracker rep...@bugs.python.org http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
[issue3366] Add gamma function, error functions and other C99 math.h functions to math module
Mark Dickinson [EMAIL PROTECTED] added the comment: There have been requests to add other C99 libm functions to Python: expm1 is requested in issue 3501, and log2 came up in the issue 3724 discussion. I'm absorbing those issues into this one. With these two, and the gamma and error functions, we're pretty close to implementing all the functions in C99s math.h. Seems to me that we might as well aim for completeness and implement the whole lot. -- title: Add gamma and error functions to math module - Add gamma function, error functions and other C99 math.h functions to math module ___ Python tracker [EMAIL PROTECTED] http://bugs.python.org/issue3366 ___ ___ Python-bugs-list mailing list Unsubscribe: http://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com
