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The value of PI is never exactly PI in any floating point representation, and the value of PI/2 is never PI/2. It is wrong to expect cos(M_PI_2l) to return 0, instead it will return an answer that is non-zero because M_PI_2l doesn't round to exactly PI/2 in the type used. That is to say that the correct answer is to do the following: * Take PI or PI/2. * Round to the floating point representation. * Take the rounded value and compute an infinite precision cos or sin. * Use the rounded result of the infinite precision cos or sin as the answer to the test. I used printf to do the type rounding, and Wolfram's Alpha to do the infinite precision cos calculations. The following changes bring x86-64 and x86 to 1/2 ulp for two tests. It shows that the x86 cos implementation is quite good, and that our test are flawed. Unfortunately given that the rounding errors are type dependent we need to fix this for each type. No regressions on x86-64 or x86. --- 2013-04-11 Carlos O'Donell <carlos@redhat.com> * math/libm-test.inc (cos_test): Fix PI/2 test. (sincos_test): Likewise. * sysdeps/x86_64/fpu/libm-test-ulps: Regenerate. * sysdeps/i386/fpu/libm-test-ulps: Regenerate. |
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This directory contains the sources of the GNU C Library. See the file "version.h" for what release version you have. The GNU C Library is the standard system C library for all GNU systems, and is an important part of what makes up a GNU system. It provides the system API for all programs written in C and C-compatible languages such as C++ and Objective C; the runtime facilities of other programming languages use the C library to access the underlying operating system. In GNU/Linux systems, the C library works with the Linux kernel to implement the operating system behavior seen by user applications. In GNU/Hurd systems, it works with a microkernel and Hurd servers. The GNU C Library implements much of the POSIX.1 functionality in the GNU/Hurd system, using configurations i[4567]86-*-gnu. The current GNU/Hurd support requires out-of-tree patches that will eventually be incorporated into an official GNU C Library release. When working with Linux kernels, this version of the GNU C Library requires Linux kernel version 2.6.16 or later. Also note that the shared version of the libgcc_s library must be installed for the pthread library to work correctly. The GNU C Library supports these configurations for using Linux kernels: i[4567]86-*-linux-gnu x86_64-*-linux-gnu Can build either x86_64 or x32 powerpc-*-linux-gnu Hardware floating point required powerpc64-*-linux-gnu s390-*-linux-gnu s390x-*-linux-gnu sh[34]-*-linux-gnu sparc*-*-linux-gnu sparc64*-*-linux-gnu The code for other CPU configurations supported by volunteers outside of the core glibc maintenance effort is contained in the `ports' add-on, located in the `ports' subdirectory of the source tree. aarch64*-*-linux-gnu alpha*-*-linux-gnu am33*-*-linux-gnu Not currently functional arm-*-linux-gnueabi hppa-*-linux-gnu Not currently functional without patches. ia64-*-linux-gnu m68k-*-linux-gnu mips-*-linux-gnu mips64-*-linux-gnu powerpc-*-linux-gnu Software floating point (--without-fp) tilegx-*-linux-gnu tilepro-*-linux-gnu If you are interested in doing a port, please contact the glibc maintainers; see http://www.gnu.org/software/libc/ for more information. See the file INSTALL to find out how to configure, build, and install the GNU C Library. You might also consider reading the WWW pages for the C library at http://www.gnu.org/software/libc/. The GNU C Library is (almost) completely documented by the Texinfo manual found in the `manual/' subdirectory. The manual is still being updated and contains some known errors and omissions; we regret that we do not have the resources to work on the manual as much as we would like. For corrections to the manual, please file a bug in the `manual' component, following the bug-reporting instructions below. Please be sure to check the manual in the current development sources to see if your problem has already been corrected. Please see http://www.gnu.org/software/libc/bugs.html for bug reporting information. We are now using the Bugzilla system to track all bug reports. This web page gives detailed information on how to report bugs properly. The GNU C Library is free software. See the file COPYING.LIB for copying conditions, and LICENSES for notices about a few contributions that require these additional notices to be distributed. License copyright years may be listed using range notation, e.g., 2000-2013, indicating that every year in the range, inclusive, is a copyrightable year that would otherwise be listed individually.