glibc/math/README.libm-test
Joseph Myers 92061bb033 Run libm tests separately for each function.
At present, libm tests for each function get built into a single
executable (for each floating point type, for each of normal / inline
/ finite-math-only functions, plus vector variants) and run together,
resulting in a single PASS or FAIL (for each of those nine variants
plus vector variants).  Building this executable involves reading
over 50 MB of libm-test-*.c sources.

This patch arranges for tests of each function to be run separately
from the makefiles instead.  There are 121 functions being tested for
each (type, variant pair) (actually 126, but run as 121 from the
Makefile because each of the pairs (exp10, pow10), (isfinite, finite),
(lgamma, gamma), (remainder, drem), (scalbn, ldexp), shares a table of
test results and so is run together), so 1089 separate tests run from
the Makefile, plus 48 vector tests on x86_64 (six functions for eight
vector variants).  Each test only involves a libm-test-<func>.c file
of no more than about 4 MB, rather than all such files taking about 50
MB.  With tests run separately, test summaries will indicate which
functions actually have problems (of course, those problems may just
be out-of-date libm-test-ulps files if the file hasn't been updated
for the architecture in question recently).

All the .c files for the 1089+48 tests are generated automatically
from the Makefiles.  Various checked-in boilerplate .c files are
removed as no longer needed.  CFLAGS definitions for the different
kinds of tests are generated using makefile iterators to apply
target-specific variable settings.  libm-have-vector-test.h is no
longer needed; the list of functions to test for each vector type is
now in the sysdeps Makefile.

This should reduce the amount of boilerplate needed for float128
testing support; test-float128.h will still be needed, but not various
.c files or Makefile CFLAGS definitions.  The logic for creating
dependencies on libm-test-support-*.o files should also render
<https://sourceware.org/ml/libc-alpha/2017-02/msg00279.html>
unnecessary.

Tested for x86_64 and x86.

	* math/Makefile (libm-tests-generated): Remove variable.
	(libm-tests-base-normal): New variable.
	(libm-tests-base-finite): Likewise.
	(libm-tests-base-inline): Likewise.
	(libm-tests-base): Likewise.
	(libm-tests-normal): Likewise.
	(libm-tests-finite): Likewise.
	(libm-tests-inline): Likewise.
	(libm-tests-vector): Likewise.
	(libm-tests): Define in terms of these new variables.
	(libm-tests-for-type): New variable.
	(libm-tests.o): Move definition.
	(tests): Move addition of $(libm-tests).
	(generated): Update for new and removed libm test files.
	($(objpfx)libm-test.c): Remove target.
	($(objpfx)libm-have-vector-test.h): Likewise.
	(CFLAGS-test-double-vlen2.c): Remove variable.
	(CFLAGS-test-double-vlen4.c): Likewise.
	(CFLAGS-test-double-vlen8.c): Likewise.
	(CFLAGS-test-float-vlen4.c): Likewise.
	(CFLAGS-test-float-vlen8.c): Likewise.
	(CFLAGS-test-float-vlen16.c): Likewise.
	(CFLAGS-test-float.c): Likewise.
	(CFLAGS-test-float-finite.c): Likewise.
	(CFLAGS-libm-test-support-float.c): Likewise.
	(CFLAGS-test-double.c): Likewise.
	(CFLAGS-test-double-finite.c): Likewise.
	(CFLAGS-libm-test-support-double.c): Likewise.
	(CFLAGS-test-ldouble.c): Likewise.
	(CFLAGS-test-ldouble-finite.c): Likewise.
	(CFLAGS-libm-test-support-ldouble.c): Likewise.
	(libm-test-inline-cflags): New variable.
	(CFLAGS-test-ifloat.c): Remove variable.
	(CFLAGS-test-idouble.c): Likewise.
	(CFLAGS-test-ildouble.c): Likewise.
	($(addprefix $(objpfx), $(libm-tests.o))): Move target and update
	dependencies.
	($(foreach t,$(libm-tests-normal),$(objpfx)$(t).c)): New rule.
	($(foreach t,$(libm-tests-finite),$(objpfx)$(t).c)): Likewise.
	($(foreach t,$(libm-tests-inline),$(objpfx)$(t).c)): Likewise.
	($(foreach t,$(libm-tests-vector),$(objpfx)$(t).c)): Likewise.
	($(foreach t,$(types),$(objpfx)libm-test-support-$(t).c)):
	Likewise.
	(dependencies on libm-test-support-*.o): Remove.
	($(foreach f,$(libm-test-funcs-all),$(objpfx)$(o)-$(f).o)): New
	rules using iterators.
	($(addprefix $(objpfx),$(call libm-tests-for-type,$(o)))):
	Likewise.
	($(objpfx)libm-test-support-$(o).o): Likewise.
	($(addprefix $(objpfx),$(filter-out $(tests-static)
	$(libm-vec-tests),$(tests)))): Filter out $(libm-tests-vector)
	instead.
	($(addprefix $(objpfx), $(libm-vec-tests))): Use iterator to
	define rule instead.
	* math/README.libm-test: Update.
	* math/libm-test-acos.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-acosh.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-asin.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-asinh.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-atan.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-atan2.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-atanh.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-cabs.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-cacos.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-cacosh.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-canonicalize.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-carg.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-casin.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-casinh.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-catan.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-catanh.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-cbrt.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-ccos.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-ccosh.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-ceil.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-cexp.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-cimag.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-clog.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-clog10.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-conj.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-copysign.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-cos.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-cosh.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-cpow.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-cproj.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-creal.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-csin.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-csinh.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-csqrt.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-ctan.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-ctanh.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-erf.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-erfc.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-exp.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-exp10.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-exp2.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-expm1.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-fabs.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-fdim.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-floor.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-fma.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-fmax.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-fmaxmag.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-fmin.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-fminmag.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-fmod.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-fpclassify.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-frexp.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-fromfp.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-fromfpx.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-getpayload.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-hypot.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-ilogb.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-iscanonical.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-iseqsig.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-isfinite.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-isgreater.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-isgreaterequal.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-isinf.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-isless.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-islessequal.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-islessgreater.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-isnan.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-isnormal.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-issignaling.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-issubnormal.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-isunordered.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-iszero.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-j0.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-j1.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-jn.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-lgamma.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-llogb.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-llrint.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-llround.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-log.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-log10.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-log1p.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-log2.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-logb.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-lrint.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-lround.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-modf.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-nearbyint.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-nextafter.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-nextdown.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-nexttoward.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-nextup.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-pow.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-remainder.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-remquo.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-rint.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-round.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-roundeven.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-scalb.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-scalbln.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-scalbn.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-setpayload.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-setpayloadsig.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-signbit.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-significand.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-sin.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-sincos.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-sinh.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-sqrt.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-tan.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-tanh.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-tgamma.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-totalorder.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-totalordermag.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-trunc.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-ufromfp.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-ufromfpx.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-y0.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-y1.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-yn.inc: Include libm-test-driver.c.
	(do_test): New function.
	* math/libm-test-driver.c: Do not include libm-have-vector-test.h.
	(HAVE_VECTOR): Remove macro.
	(START): Do not call HAVE_VECTOR.
	* math/test-double-vlen2.h (FUNC_TEST): Remove macro.
	* math/test-double-vlen4.h (FUNC_TEST): Remove macro.
	* math/test-double-vlen8.h (FUNC_TEST): Remove macro.
	* math/test-float-vlen16.h (FUNC_TEST): Remove macro.
	* math/test-float-vlen4.h (FUNC_TEST): Remove macro.
	* math/test-float-vlen8.h (FUNC_TEST): Remove macro.
	* math/test-math-vector.h (FUNC_TEST): New macro.
	(WRAPPER_DECL): Rename to WRAPPER_DECL_f.
	* sysdeps/x86_64/fpu/Makefile (double-vlen2-funcs): New variable.
	(double-vlen4-funcs): Likewise.
	(double-vlen4-avx2-funcs): Likewise.
	(double-vlen8-funcs): Likewise.
	(float-vlen4-funcs): Likewise.
	(float-vlen8-funcs): Likewise.
	(float-vlen8-avx2-funcs): Likewise.
	(float-vlen16-funcs): Likewise.
	(CFLAGS-test-double-vlen4-avx2.c): Remove variable.
	(CFLAGS-test-float-vlen8-avx2.c): Likewise.
	* sysdeps/x86_64/fpu/test-double-vlen4.h (TEST_VECTOR_cos): Remove
	macro.
	(TEST_VECTOR_sin): Likewise.
	(TEST_VECTOR_sincos): Likewise.
	(TEST_VECTOR_log): Likewise.
	(TEST_VECTOR_exp): Likewise.
	(TEST_VECTOR_pow): Likewise.
	* sysdeps/x86_64/fpu/test-double-vlen8.h (TEST_VECTOR_cos):
	Likewise.
	(TEST_VECTOR_sin): Likewise.
	(TEST_VECTOR_sincos): Likewise.
	(TEST_VECTOR_log): Likewise.
	(TEST_VECTOR_exp): Likewise.
	(TEST_VECTOR_pow): Likewise.
	* sysdeps/x86_64/fpu/test-float-vlen16.h (TEST_VECTOR_cosf):
	Likewise.
	(TEST_VECTOR_sinf): Likewise.
	(TEST_VECTOR_sincosf): Likewise.
	(TEST_VECTOR_logf): Likewise.
	(TEST_VECTOR_expf): Likewise.
	(TEST_VECTOR_powf): Likewise.
	* sysdeps/x86_64/fpu/test-float-vlen8.h (TEST_VECTOR_cosf):
	Likewise.
	(TEST_VECTOR_sinf): Likewise.
	(TEST_VECTOR_sincosf): Likewise.
	(TEST_VECTOR_logf): Likewise.
	(TEST_VECTOR_expf): Likewise.
	(TEST_VECTOR_powf): Likewise.
	* math/gen-libm-have-vector-test.sh: Remove file.
	* math/libm-test.inc: Likewise.
	* math/libm-test-support-double.c: Likewise.
	* math/libm-test-support-float.c: Likewise.
	* math/libm-test-support-ldouble.c: Likewise.
	* math/test-double-finite.c: Likewise.: Likewise.
	* math/test-double.c: Likewise.
	* math/test-float-finite.c: Likewise.
	* math/test-float.c: Likewise.
	* math/test-idouble.c: Likewise.
	* math/test-ifloat.c: Likewise.
	* math/test-ildouble.c: Likewise.
	* math/test-ldouble-finite.c: Likewise.
	* math/test-ldouble.c: Likewise.
	* sysdeps/x86_64/fpu/test-double-vlen2.c: Likewise.
	* sysdeps/x86_64/fpu/test-double-vlen2.h: Likewise.
	* sysdeps/x86_64/fpu/test-double-vlen4-avx2.c: Likewise.
	* sysdeps/x86_64/fpu/test-double-vlen4.c: Likewise.
	* sysdeps/x86_64/fpu/test-double-vlen8.c: Likewise.
	* sysdeps/x86_64/fpu/test-float-vlen16.c: Likewise.
	* sysdeps/x86_64/fpu/test-float-vlen4.c: Likewise.
	* sysdeps/x86_64/fpu/test-float-vlen4.h: Likewise.
	* sysdeps/x86_64/fpu/test-float-vlen8-avx2.c: Likewise.
	* sysdeps/x86_64/fpu/test-float-vlen8.c: Likewise.
2017-02-24 00:52:49 +00:00

167 lines
7.8 KiB
Plaintext

README for libm-test math test suite
====================================
The libm-test math test suite tests a number of function points of
math functions in the GNU C library. The following sections contain a
brief overview. Please note that the test drivers and the Perl script
"gen-libm-test.pl" have some options. A full list of options is
available with --help (for the test drivers) and -h for
"gen-libm-test.pl".
What is tested?
===============
The tests just evaluate the functions at specified points and compare
the results with precomputed values and the requirements of the ISO
C99 standard.
Besides testing the special values mandated by IEEE 754 (infinities,
NaNs and minus zero), some more or less random values are tested.
Files that are part of libm-test
================================
The main files are "libm-test-<func>.inc". They are independent of
the target platform and the specific real floating type and format and
contain placeholder test "templates" for math functions defined in
libm. These files, along with generated files named
"auto-libm-test-out-<func>", are preprocessed by the Perl script
"gen-libm-test.pl" to expand the templates and produce a set of test
cases for each math function that are specific to the target platform
but still independent of the real floating type. The results of the
processing are "libm-test-<func>.c" and a file "libm-test-ulps.h" with
platform specific deltas by which the actual math function results may
deviate from the expected results and still be considered correct.
The test drivers "test-double-<func>.c", "test-float-<func>.c", and
"test-ldouble-<func>.c", generated by the Makefile, test the normal
double, float and long double implementation of libm. The test
drivers with an 'i' in their name ("test-idouble-<func>.c",
"test-ifloat-<func>.c", and "test-ildoubl-<func>.c") test the
corresponding inline functions (where available - otherwise they also
test the real functions in libm). Each driver selects the desired
real floating type to exercise the math functions to test with (float,
double, or long double) by defining a small set of macros just before
including the generic "libm-test.c" file. Each driver also either
defines or undefines the __NO_MATH_INLINES macro just before including
"libm-test-<func>.c" to select either the real or inline functions,
respectively. Each driver is compiled into a single executable test
program with the corresponding name.
As mentioned above, the "gen-libm-test.pl" script looks for a file
named "libm-test-ulps" in the platform specific sysdep directory (or
its fpu or nofpu subdirectory) and for each variant (real floating
type and rounding mode) of every tested function reads from it the
maximum difference expressed as Units of Least Precision (ULP) the
actual result of the function may deviate from the expected result
before it's considered incorrect.
The "auto-libm-test-out-<func>" files contain sets of test cases to
exercise, the conditions under which to exercise each, and the
expected results. The files are generated by the
"gen-auto-libm-tests" program from the "auto-libm-test-in" file. See
the comments in gen-auto-libm-tests.c for details about the content
and format of the -in and -out files.
How can I generate "libm-test-ulps"?
====================================
To automatically generate a new "libm-test-ulps" run "make regen-ulps".
This generates the file "math/NewUlps" in the build directory. The file
contains the sorted results of all the tests. You can use the "NewUlps"
file as the machine's updated "libm-test-ulps" file. Copy "NewUlps" to
"libm-test-ulps" in the appropriate machine sysdep directory. Verify
the changes, post your patch, and check it in after review.
To manually generate a new "libm-test-ulps" file, first remove "ULPs"
file in the current directory, then you can execute for example:
./testrun.sh math/test-double -u --ignore-max-ulp=yes
This generates a file "ULPs" with all double ULPs in it, ignoring any
previously calculated ULPs, and running with the newly built dynamic
loader and math library (assumes you didn't install your build). Now
generate the ULPs for all other formats, the tests will be appending the
data to the "ULPs" file. As final step run "gen-libm-test.pl" with the
file as input and ask to generate a pretty printed output in the file
"NewUlps":
gen-libm-test.pl -u ULPs -n NewUlps
Copy "NewUlps" to "libm-test-ulps" in the appropriate machine sysdep
directory.
Note that the test drivers have an option "-u" to output an unsorted
list of all epsilons that the functions have. The output can be read
in directly but it's better to pretty print it first.
"gen-libm-test.pl" has an option to generate a pretty-printed and
sorted new ULPs file from the output of the test drivers.
Contents of libm-test-ulps
==========================
Since libm-test-ulps can be generated automatically, just a few notes.
The file contains lines for maximal errors of single functions, like:
Function "yn":
idouble: 6
The keywords are float, ifloat, double, idouble, ldouble and ildouble
(the prefix i stands for inline).
Adding tests to libm-test-<func>.inc
====================================
The tests are evaluated by a set of special test macros. The macros
start with "TEST_" followed by a specification the input values, an
underscore and a specification of the output values. As an example,
the test macro for a function with input of type FLOAT (FLOAT is
either float, double, long double) and output of type FLOAT is
"TEST_f_f". The macro's parameter are the name of the function, the
input parameter, output parameter and optionally one exception
parameter.
The accepted parameter types are:
- "f" for FLOAT
- "j" for long double.
- "b" for boolean - just tests if the output parameter evaluates to 0
or 1 (only for output).
- "c" for complex. This parameter needs two values, first the real,
then the imaginary part.
- "i" for int.
- "l" for long int.
- "L" for long long int.
- "u" for unsigned int.
- "M" for intmax_t.
- "U" for uintmax_t.
- "p" for an argument (described in the previous character) passed
through a pointer rather than directly.
- "F" for the address of a FLOAT (only as input parameter)
- "I" for the address of an int (only as input parameter)
- "1" for an additional output (either output through a pointer passed
as an argument, or to a global variable such as signgam).
How to read the test output
===========================
Running each test on its own at the default level of verbosity will
print on stdout a line describing the implementation of math functions
exercised by the test (float, double, or long double), along with
whether the inline set has been selected, regardless of whether or
not any inline functions actually exist. This is then followed by
the details of test failures (if any). The output concludes by
a summary listing the number of test cases exercised and the number
of test failures uncovered.
For each test failure (and for each test case at higher levels of
verbosity), the output contains the name of the function under test
and its arguments or conditions that triggered the failure. Note
that the name of the function in the output need not correspond
exactly to the name of the math function actually invoked. For example,
the output will refer to the "acos" function even if the actual function
under test is acosf (for the float version) or acosl (for the long
double version). Also note that the function arguments may be shown
in either the decimal or the hexadecimal floating point format which
may or may not correspond to the format used in the auto-libm-test-in
file. Besides the name of the function, for each test failure the
output contains the actual and expected results and the difference
between the two, printed in both the decimal and hexadecimal
floating point format, and the ULP and maximum ULP for the test
case.