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* aarch64: Add vector implementations of cos routinesJoe Ramsay2023-06-301-1/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | Replace the loop-over-scalar placeholder routines with optimised implementations from Arm Optimized Routines (AOR). Also add some headers containing utilities for aarch64 libmvec routines, and update libm-test-ulps. Data tables for new routines are used via a pointer with a barrier on it, in order to prevent overly aggressive constant inlining in GCC. This allows a single adrp, combined with offset loads, to be used for every constant in the table. Special-case handlers are marked NOINLINE in order to confine the save/restore overhead of switching from vector to normal calling standard. This way we only incur the extra memory access in the exceptional cases. NOINLINE definitions have been moved to math_private.h in order to reduce duplication. AOR exposes a config option, WANT_SIMD_EXCEPT, to enable selective masking (and later fixing up) of invalid lanes, in order to trigger fp exceptions correctly (AdvSIMD only). This is tested and maintained in AOR, however it is configured off at source level here for performance reasons. We keep the WANT_SIMD_EXCEPT blocks in routine sources to greatly simplify the upstreaming process from AOR to glibc. Reviewed-by: Szabolcs Nagy <szabolcs.nagy@arm.com>
* Enable libmvec support for AArch64Joe Ramsay2023-05-031-0/+8
| | | | | | | | | | | | | | | | | | | | | | | This patch enables libmvec on AArch64. The proposed change is mainly implementing build infrastructure to add the new routines to ABI, tests and benchmarks. I have demonstrated how this all fits together by adding implementations for vector cos, in both single and double precision, targeting both Advanced SIMD and SVE. The implementations of the routines themselves are just loops over the scalar routine from libm for now, as we are more concerned with getting the plumbing right at this point. We plan to contribute vector routines from the Arm Optimized Routines repo that are compliant with requirements described in the libmvec wiki. Building libmvec requires minimum GCC 10 for SVE ACLE. To avoid raising the minimum GCC by such a big jump, we allow users to disable libmvec if their compiler is too old. Note that at this point users have to manually call the vector math functions. This seems to be acceptable to some downstream users. Reviewed-by: Szabolcs Nagy <szabolcs.nagy@arm.com>
* aarch64: update libm test ulpsSzabolcs Nagy2023-02-241-0/+1
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* aarch64: update libm test ulpsSzabolcs Nagy2021-10-051-1/+1
| | | | | | | Update after commit 6bbf7298323bf31bc43494b2201465a449778e10. Fixed inaccuracy of j0f (BZ #28185)
* aarch64: update libm test ulpsSzabolcs Nagy2021-04-081-1/+1
| | | | Update after commit 43576de04afc6a0896a3ecc094e1581069a0652a.
* Fix the inaccuracy of j0f/j1f/y0f/y1f [BZ #14469, #14470, #14471, #14472]Paul Zimmermann2021-04-021-35/+35
| | | | | | | | | | | | | | | | | | | | | | | For j0f/j1f/y0f/y1f, the largest error for all binary32 inputs is reduced to at most 9 ulps for all rounding modes. The new code is enabled only when there is a cancellation at the very end of the j0f/j1f/y0f/y1f computation, or for very large inputs, thus should not give any visible slowdown on average. Two different algorithms are used: * around the first 64 zeros of j0/j1/y0/y1, approximation polynomials of degree 3 are used, computed using the Sollya tool (https://www.sollya.org/) * for large inputs, an asymptotic formula from [1] is used [1] Fast and Accurate Bessel Function Computation, John Harrison, Proceedings of Arith 19, 2009. Inputs yielding the new largest errors are added to auto-libm-test-in, and ulps are regenerated for various targets (thanks Adhemerval Zanella). Tested on x86_64 with --disable-multi-arch and on powerpc64le-linux-gnu. Reviewed-by: Adhemerval Zanella <adhemerval.zanella@linaro.org>
* math: Remove slow paths from asin and acos [BZ #15267]Wilco Dijkstra2021-03-111-1/+1
| | | | | | | | | | | This patch series removes all remaining slow paths and related code. First asin/acos, tan, atan, atan2 implementations are updated, and the final patch removes the unused mpa files, headers and probes. Passes buildmanyglibc. Remove slow paths from asin/acos. Add ULP annotations based on previous slow path checks (which are approximate). Update AArch64 and x86_64 libm-test-ulps. Reviewed-By: Paul Zimmermann <Paul.Zimmermann@inria.fr>
* aarch64: update ulps.Szabolcs Nagy2021-03-011-15/+17
| | | | | For new test cases in commit 5a051454a9b50c27984bbc499ee1297de48e2dc8
* aarch64: update ulps.Szabolcs Nagy2020-12-211-10/+12
| | | | | For new test cases in commit cad5ad81d2f7f58a7ad0d8afa8c1b7101a0301fb
* aarch64: update ulps.Szabolcs Nagy2020-08-131-1/+1
| | | | For new j0 test.
* Update aarch64 libm-test-ulpsAdhemerval Zanella2020-04-081-15/+16
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* math: Remove inline math testsAdhemerval Zanella2020-03-191-840/+0
| | | | | | | | | | | | | With mathinline removal there is no need to keep building and testing inline math tests. The gen-libm-tests.py support to generate ULP_I_* is removed and all libm-test-ulps files are updated to longer have the i{float,double,ldouble} entries. The support for no-test-inline is also removed from both gen-auto-libm-tests and the auto-libm-test-out-* were regenerated. Checked on x86_64-linux-gnu and i686-linux-gnu.
* Add new exp and exp2 implementationsSzabolcs Nagy2018-09-051-44/+44
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Optimized exp and exp2 implementations using a lookup table for fractional powers of 2. There are several variants, see e_exp_data.c, they can be selected by modifying math_config.h allowing different tradeoffs. The default selection should be acceptable as generic libm code. Worst case error is 0.509 ULP for exp and 0.507 ULP for exp2, on aarch64 the rodata size is 2160 bytes, shared between exp and exp2. On aarch64 .text + .rodata size decreased by 24912 bytes. The non-nearest rounding error is less than 1 ULP even on targets without efficient round implementation (although the error rate is higher in that case). Targets with single instruction, rounding mode independent, to nearest integer rounding and conversion can use them by setting TOINT_INTRINSICS and adding the necessary code to their math_private.h. The __exp1 code uses the same algorithm, so the error bound of pow increased a bit. New double precision error handling code was added following the style of the single precision error handling code. Improvements on Cortex-A72 compared to current glibc master: exp thruput: 1.61x in [-9.9 9.9] exp latency: 1.53x in [-9.9 9.9] exp thruput: 1.13x in [0.5 1] exp latency: 1.30x in [0.5 1] exp2 thruput: 2.03x in [-9.9 9.9] exp2 latency: 1.64x in [-9.9 9.9] For small (< 1) inputs the current exp code uses a separate algorithm so the speed up there is less. Was tested on aarch64-linux-gnu (TOINT_INTRINSICS, fma contraction) and arm-linux-gnueabihf (!TOINT_INTRINSICS, no fma contraction) and x86_64-linux-gnu (!TOINT_INTRINSICS, no fma contraction) and powerpc64le-linux-gnu (!TOINT_INTRINSICS, fma contraction) targets, only non-nearest rounding ulp errors increase and they are within acceptable bounds (ulp updates are in separate patches). * NEWS: Mention exp and exp2 improvements. * math/Makefile (libm-support): Remove t_exp. (type-double-routines): Add math_err and e_exp_data. * sysdeps/aarch64/libm-test-ulps: Update. * sysdeps/arm/libm-test-ulps: Update. * sysdeps/i386/fpu/e_exp_data.c: New file. * sysdeps/i386/fpu/math_err.c: New file. * sysdeps/i386/fpu/t_exp.c: Remove. * sysdeps/ia64/fpu/e_exp_data.c: New file. * sysdeps/ia64/fpu/math_err.c: New file. * sysdeps/ia64/fpu/t_exp.c: Remove. * sysdeps/ieee754/dbl-64/e_exp.c: Rewrite. * sysdeps/ieee754/dbl-64/e_exp2.c: Rewrite. * sysdeps/ieee754/dbl-64/e_exp_data.c: New file. * sysdeps/ieee754/dbl-64/e_pow.c (__ieee754_pow): Update error bound. * sysdeps/ieee754/dbl-64/eexp.tbl: Remove. * sysdeps/ieee754/dbl-64/math_config.h: New file. * sysdeps/ieee754/dbl-64/math_err.c: New file. * sysdeps/ieee754/dbl-64/t_exp.c: Remove. * sysdeps/ieee754/dbl-64/t_exp2.h: Remove. * sysdeps/ieee754/dbl-64/uexp.h: Remove. * sysdeps/ieee754/dbl-64/uexp.tbl: Remove. * sysdeps/m68k/m680x0/fpu/e_exp_data.c: New file. * sysdeps/m68k/m680x0/fpu/math_err.c: New file. * sysdeps/m68k/m680x0/fpu/t_exp.c: Remove. * sysdeps/powerpc/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Update.
* Improve performance of sinf and cosfWilco Dijkstra2018-08-141-12/+12
| | | | | | | | | | | | | | | | | | | | | | | | | The second patch improves performance of sinf and cosf using the same algorithms and polynomials. The returned values are identical to sincosf for the same input. ULP definitions for AArch64 and x64 are updated. sinf/cosf througput gains on Cortex-A72: * |x| < 0x1p-12 : 1.2x * |x| < M_PI_4 : 1.8x * |x| < 2 * M_PI: 1.7x * |x| < 120.0 : 2.3x * |x| < Inf : 3.0x * NEWS: Mention sinf, cosf, sincosf. * sysdeps/aarch64/libm-test-ulps: Update ULP for sinf, cosf, sincosf. * sysdeps/x86_64/fpu/libm-test-ulps: Update ULP for sinf and cosf. * sysdeps/x86_64/fpu/multiarch/s_sincosf-fma.c: Add definitions of constants rather than including generic sincosf.h. * sysdeps/x86_64/fpu/s_sincosf_data.c: Remove. * sysdeps/ieee754/flt-32/s_cosf.c (cosf): Rewrite. * sysdeps/ieee754/flt-32/s_sincosf.h (reduced_sin): Remove. (reduced_cos): Remove. (sinf_poly): New function. * sysdeps/ieee754/flt-32/s_sinf.c (sinf): Rewrite.
* [PATCH 1/7] sin/cos slow paths: avoid slow paths for small inputsWilco Dijkstra2018-04-031-0/+6
| | | | | | | | | | | | | | | | | | | | | | | | This series of patches removes the slow patchs from sin, cos and sincos. Besides greatly simplifying the implementation, the new version is also much faster for inputs up to PI (41% faster) and for large inputs needing range reduction (27% faster). ULP is ~0.55 with no errors found after testing 1.6 billion inputs across most of the range with mpsin and mpcos. The number of incorrectly rounded results (ie. ULP >0.5) is at most ~2750 per million inputs between 0.125 and 0.5, the average is ~850 per million between 0 and PI. Tested on AArch64 and x86_64 with no regressions. The first patch removes the slow paths for the cases where the input is small and doesn't require range reduction. Update ULP tables for sin, cos and sincos on AArch64 and x86_64. * sysdeps/aarch64/libm-test-ulps: Update ULP for sin, cos, sincos. * sysdeps/ieee754/dbl-64/s_sin.c (__sin): Remove slow paths for small inputs. (__cos): Likewise. * sysdeps/x86_64/fpu/libm-test-ulps: Update ULP for sin, cos, sincos.
* Remove slow paths from powWilco Dijkstra2018-02-121-0/+2
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Remove the slow paths from pow. Like several other double precision math functions, pow is exactly rounded. This is not required from math functions and causes major overheads as it requires multiple fallbacks using higher precision arithmetic if a result is close to 0.5ULP. Ridiculous slowdowns of up to 100000x have been reported when the highest precision path triggers. All GLIBC math tests pass on AArch64 and x64 (with ULP of pow set to 1). The worst case error is ~0.506ULP. A simple test over a few hundred million values shows pow is 10% faster on average. This fixes BZ #13932. [BZ #13932] * sysdeps/ieee754/dbl-64/uexp.h (err_1): Remove. * benchtests/pow-inputs: Update comment for slow path cases. * manual/probes.texi (slowpow_p10): Delete removed probe. (slowpow_p10): Likewise. * math/Makefile: Remove halfulp.c and slowpow.c. * sysdeps/aarch64/libm-test-ulps: Set ULP of pow to 1. * sysdeps/generic/math_private.h (__exp1): Remove error argument. (__halfulp): Remove. (__slowpow): Remove. * sysdeps/i386/fpu/halfulp.c: Delete file. * sysdeps/i386/fpu/slowpow.c: Likewise. * sysdeps/ia64/fpu/halfulp.c: Likewise. * sysdeps/ia64/fpu/slowpow.c: Likewise. * sysdeps/ieee754/dbl-64/e_exp.c (__exp1): Remove error argument, improve comments and add error analysis. * sysdeps/ieee754/dbl-64/e_pow.c (__ieee754_pow): Add error analysis. (power1): Remove function: (log1): Remove error argument, add error analysis. (my_log2): Remove function. * sysdeps/ieee754/dbl-64/halfulp.c: Delete file. * sysdeps/ieee754/dbl-64/slowpow.c: Likewise. * sysdeps/m68k/m680x0/fpu/halfulp.c: Likewise. * sysdeps/m68k/m680x0/fpu/slowpow.c: Likewise. * sysdeps/powerpc/power4/fpu/Makefile: Remove CPPFLAGS-slowpow.c. * sysdeps/x86_64/fpu/libm-test-ulps: Set ULP of pow to 1. * sysdeps/x86_64/fpu/multiarch/Makefile: Remove slowpow-fma.c, slowpow-fma4.c, halfulp-fma.c, halfulp-fma4.c. * sysdeps/x86_64/fpu/multiarch/e_pow-fma.c (__slowpow): Remove define. * sysdeps/x86_64/fpu/multiarch/e_pow-fma4.c (__slowpow): Likewise. * sysdeps/x86_64/fpu/multiarch/halfulp-fma.c: Delete file. * sysdeps/x86_64/fpu/multiarch/halfulp-fma4.c: Likewise. * sysdeps/x86_64/fpu/multiarch/slowpow-fma.c: Likewise. * sysdeps/x86_64/fpu/multiarch/slowpow-fma4.c: Likewise.
* aarch64: update libm-test-ulpsSzabolcs Nagy2017-12-201-20/+20
| | | | * sysdeps/aarch64/libm-test-ulps: Update.
* AArch64: update libm-test-ulpsSzabolcs Nagy2017-09-281-2/+8
| | | | | | Update for new expf and logf. * sysdeps/aarch64/libm-test-ulps: Update.
* Obsolete pow10 functions.Joseph Myers2017-09-011-30/+0
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch obsoletes the pow10, pow10f and pow10l functions (makes them into compat symbols, not available for new ports or static linking). The exp10 names for these functions are standardized (in TS 18661-4) and were added in the same glibc version (2.1) as pow10 so source code can change to use them without any loss of portability. Since pow10 is deliberately not provided for _Float128, only exp10, this slightly simplifies moving to the new wrapper templates in the !LIBM_SVID_COMPAT case, by avoiding needing to arrange for pow10, pow10f and pow10l to be defined by those templates. Tested for x86_64, and with build-many-glibcs.py. * manual/math.texi (pow10): Do not document. (pow10f): Likewise. (pow10l): Likewise. * math/bits/mathcalls.h [__USE_GNU] (pow10): Do not declare. * math/bits/math-finite.h [__USE_GNU] (pow10): Likewise. * math/libm-test-exp10.inc (pow10_test): Remove. (do_test): Do not call pow10. * math/w_exp10_compat.c (pow10): Make into compat symbol. [NO_LONG_DOUBLE] (pow10l): Likewise. * math/w_exp10f_compat.c (pow10f): Likewise. * math/w_exp10l_compat.c (pow10l): Likewise. * sysdeps/ia64/fpu/e_exp10.S: Include <shlib-compat.h>. (pow10): Make into compat symbol. * sysdeps/ia64/fpu/e_exp10f.S: Include <shlib-compat.h>. (pow10f): Make into compat symbol. * sysdeps/ia64/fpu/e_exp10l.S: Include <shlib-compat.h>. (pow10l): Make into compat symbol. * sysdeps/ieee754/ldbl-opt/Makefile (libnldbl-calls): Remove pow10. (CFLAGS-nldbl-pow10.c): Remove variable.. * sysdeps/ieee754/ldbl-opt/nldbl-pow10.c: Remove file. * sysdeps/ieee754/ldbl-opt/w_exp10_compat.c (pow10l): Condition on [SHLIB_COMPAT (libm, GLIBC_2_1, GLIBC_2_27)]. * sysdeps/ieee754/ldbl-opt/w_exp10l_compat.c (compat_symbol): Undefine and redefine. (pow10l): Make into compat symbol. * sysdeps/aarch64/libm-test-ulps: Remove pow10 ulps. * sysdeps/alpha/fpu/libm-test-ulps: Likewise. * sysdeps/arm/libm-test-ulps: Likewise. * sysdeps/hppa/fpu/libm-test-ulps: Likewise. * sysdeps/i386/fpu/libm-test-ulps: Likewise. * sysdeps/i386/i686/fpu/multiarch/libm-test-ulps: Likewise. * sysdeps/microblaze/libm-test-ulps: Likewise. * sysdeps/mips/mips32/libm-test-ulps: Likewise. * sysdeps/mips/mips64/libm-test-ulps: Likewise. * sysdeps/nios2/libm-test-ulps: Likewise. * sysdeps/powerpc/fpu/libm-test-ulps: Likewise. * sysdeps/powerpc/nofpu/libm-test-ulps: Likewise. * sysdeps/s390/fpu/libm-test-ulps: Likewise. * sysdeps/sh/libm-test-ulps: Likewise. * sysdeps/sparc/fpu/libm-test-ulps: Likewise. * sysdeps/tile/libm-test-ulps: Likewise. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* [AArch64] Update libm-test-ulpsSzabolcs Nagy2017-03-271-80/+88
| | | | * sysdeps/aarch64/libm-test-ulps: Update.
* Regenerate ULPs for aarch64Siddhesh Poyarekar2016-11-101-2/+2
| | | | * sysdeps/aarch64/libm-test-ulps: Regenerated.
* [AArch64] Update libm-test-ulpsSzabolcs Nagy2016-07-211-4/+4
| | | | | | | | This partly reverts commit f8238ae3c7701dbd9c04028861916de64e578114 that regenerated the ulps, to make the max ulps good for gcc-5, gcc-6 and gcc-trunk as well. * sysdeps/aarch64/libm-test-ulps: Updated.
* [AArch64] Regenerate libm-test-ulpsSzabolcs Nagy2016-07-181-10/+10
| | | | * sysdeps/aarch64/libm-test-ulps: Regenerated.
* [AArch64] Regenerate libm-test-ulpsSzabolcs Nagy2015-12-011-50/+54
| | | | * sysdeps/aarch64/libm-test-ulps: Regenerated.
* Regenerate aarch64 libm-test-ulpsSzabolcs Nagy2015-09-241-204/+230
| | | | * sysdeps/aarch64/libm-test-ulps: Regenerated.
* Regenerate aarch64 libm-test-ulpsSzabolcs Nagy2015-07-021-32/+128
| | | | * sysdeps/aarch64/libm-test-ulps: Regenerated.
* 2015-06-02 Szabolcs Nagy <szabolcs.nagy@arm.com>Wilco Dijkstra2015-06-021-26/+26
| | | | * sysdeps/aarch64/libm-test-ulps: Update.
* 2015-05-06 Szabolcs Nagy <szabolcs.nagy@arm.com>Wilco Dijkstra2015-05-061-316/+445
| | | | * sysdeps/aarch64/libm-test-ulps: Update.
* aarch64: Update libm-test-ulpsRichard Henderson2014-07-111-6/+120
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* [AArch64] Regenerate libm-test-ulpsMarcus Shawcroft2014-06-031-0/+85
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* [AArch64] Regenerate libm-test-ulps.Marcus Shawcroft2014-04-161-87/+1015
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* Don't include individual test ulps in libm-test-ulps.Joseph Myers2014-03-051-17972/+0
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | As recently discussed <https://sourceware.org/ml/libc-alpha/2014-02/msg00670.html>, it doesn't seem particularly useful for libm-test-ulps files to contain huge amounts of data on ulps for individual tests; just the global maximum observed ulps for each function, together with the verification of exceptions, errno and special results such as infinities and NaNs for each test, suffices to verify that a function's behavior on the given test inputs is within the expected accuracy. Removing this data reduces source tree churn caused by updates to these files when libm tests are added, and reduces the frequency with which testsuite additions actually need libm-test-ulps changes at all. Accordingly, this patch removes that data, so that individual tests get checked against the global bounds for the given function and only generate an error if those are exceeded. Tested x86_64 (including verifying that if an ulps value is artificially reduced, the tests do indeed fail as they should and "make regen-ulps" generates the expected changes). * math/libm-test.inc (struct ulp_data): Don't refer to ulps for individual tests in comment. (libm-test-ulps.h): Don't refer to test_ulps in #include comment. (prev_max_error): New variable. (prev_real_max_error): Likewise. (prev_imag_max_error): Likewise. (compare_ulp_data): Don't refer to test names in comment. (find_test_ulps): Remove function. (find_function_ulps): Likewise. (find_complex_function_ulps): Likewise. (init_max_error): Take function name as argument. Look up ulps for that function. (print_ulps): Remove function. (print_max_error): Use prev_max_error instead of calling find_function_ulps. (print_complex_max_error): Use prev_real_max_error and prev_imag_max_error instead of calling find_complex_function_ulps. (check_float_internal): Take max_ulp parameter instead of calling find_test_ulps. Don't call print_ulps. (check_float): Update call to check_float_internal. (check_complex): Update calls to check_float_internal. (START): Pass argument to init_max_error. * math/gen-libm-test.pl (%results): Don't include "kind" information. (parse_ulps): Don't handle ulps of individual tests. (print_ulps_file): Likewise. (output_ulps): Likewise. * math/README.libm-test: Update. * manual/libm-err-tab.pl (parse_ulps): Don't handle ulps of individual tests. * sysdeps/aarch64/libm-test-ulps: Remove individual test ulps. * sysdeps/alpha/fpu/libm-test-ulps: Likewise. * sysdeps/arm/libm-test-ulps: Likewise. * sysdeps/i386/fpu/libm-test-ulps: Likewise. * sysdeps/ia64/fpu/libm-test-ulps: Likewise. * sysdeps/m68k/coldfire/fpu/libm-test-ulps: Likewise. * sysdeps/m68k/m680x0/fpu/libm-test-ulps: Likewise. * sysdeps/microblaze/libm-test-ulps: Likewise. * sysdeps/mips/mips32/libm-test-ulps: Likewise. * sysdeps/mips/mips64/libm-test-ulps: Likewise. * sysdeps/powerpc/fpu/libm-test-ulps: Likewise. * sysdeps/powerpc/nofpu/libm-test-ulps: Likewise. * sysdeps/s390/fpu/libm-test-ulps: Likewise. * sysdeps/sh/libm-test-ulps: Likewise. * sysdeps/sparc/fpu/libm-test-ulps: Likewise. * sysdeps/tile/libm-test-ulps: Likewise. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise. * sysdeps/hppa/fpu/libm-test-ulps: Remove individual test ulps.
* Relocate AArch64 from ports to libc.Marcus Shawcroft2014-02-111-0/+18858
This patch moves the AArch64 port to the main sysdeps hierarchy. The move is essentially: git mv ports/sysdeps/aarch64 sysdeps/aarch64 git mv ports/sysdeps/unix/sysv/linux/aarch64 sysdeps/unix/sysv/linux/aarch64 The README is updated and I've updated ChangeLog.aarch64 along the lines of the ARM move. The AArch64 build has been tested to confirm that there were no changes in objdump -dr output or the shared objects.
generated by cgit-pink 1.4.1 (git 2.36.1) at 2024-07-22 15:51:08 +0000