glibc/math/README.libm-test
Joseph Myers 8e554659ad Add test infrastructure for narrowing libm functions.
This patch continues preparations for adding TS 18661-1 narrowing libm
functions by adding the required testsuite infrastructure to test such
functions through the libm-test infrastructure.

That infrastructure is based around testing for a single type, FLOAT.
For the narrowing functions, FLOAT, the "main" type for testing, is
the function return type; the argument type is ARG_FLOAT.  This is
consistent with how the code built once for each type,
libm-test-support.c, depends on FLOAT for such things as calculating
ulps errors in results but can already handle different argument types
(pointers, integers, long double for nexttoward).

Makefile machinery is added to handle building tests for all pairs of
types for which there are narrowing functions (as with non-narrowing
functions, aliases are tested just the same as the functions they
alias).  gen-auto-libm-tests gains a --narrow option for building
outputs for narrowing functions (so narrowing sqrt and fma will share
the same inputs as non-narrowing, but gen-auto-libm-tests will be run
with and without that option to generate different output files).  In
the narrowing case, the auto-libm-test-out-narrow-* files include
annotations for each test about what properties ARG_FLOAT must have to
be able to represent all the inputs for that test; those annotations
result in calls to the TEST_COND_arg_fmt macro.

gen-libm-test.pl has some minor updates to handle narrowing tests (for
example, arguments in such tests must be surrounded by ARG_LIT calls
instead of LIT calls).  Various new macros are added to the C test
support code (for example, sNaN initializers need to be properly
typed, so arg_snan_value is added; other such arg_* macros are added
as it seems cleanest to do so, though some are not strictly required).
Special-casing of the ibm128 format to allow for its limitations is
adjusted to handle it as the argument format as well as as the result
format; thus, the tests of the new functions allow nonzero ulps only
in the case where ibm128 is the argument format, as otherwise the
functions correspond to fully-defined IEEE operations.  The ulps in
question appear as e.g. 'Function: "add_ldouble"' in libm-test-ulps
(with 1ulp errors then listed for double and float for that function
in powerpc); no support is added to generate corresponding faddl /
daddl ulps listings in the ulps table in the manual.

For the previous patch, I noted the need to avoid spurious macro
expansions of identifiers such as "add".  A test test-narrow-macros.c
is added to verify such macro expansions are successfully avoided, and
there is also a -mlong-double-64 version of that test for ldbl-opt.
This test is set up to cover the full set of relevant identifiers from
the start rather than adding functions one at a time as each function
group is added.

Tested for x86_64 (this patch in isolation, as well as testing for
various configurations in conjunction with the actual addition of
"add" functions).

	* math/Makefile (test-type-pairs): New variable.
	(test-type-pairs-f64xf128-yes): Likewise.
	(tests): Add test-narrow-macros.
	(libm-test-funcs-narrow): New variable.
	(libm-test-c-narrow): Likewise.
	(generated): Add $(libm-test-c-narrow).
	(libm-tests-base-narrow): New variable.
	(libm-tests-narrow): Likewise.
	(libm-tests): Add $(libm-tests-narrow).
	(libm-tests-for-type): Handle $(libm-tests-narrow).
	(libm-test-c-narrow-obj): New variable.
	($(libm-test-c-narrow-obj)): New rule.
	($(foreach t,$(libm-tests-narrow),$(objpfx)$(t).c)): Likewise.
	($(foreach f,$(libm-test-funcs-narrow),$(objpfx)$(o)-$(f).o)): Use
	$(o-iterator) to set dependencies and CFLAGS.
	* math/gen-auto-libm-tests.c: Document use for narrowing
	functions.
	(output_for_one_input_case): Take argument NARROW.
	(generate_output): Likewise.  Update call to
	output_for_one_input_case.
	(main): Take --narrow option.  Update call to generate_output.
	* math/gen-libm-test.pl (_apply_lit): Take macro name as argument.
	(apply_lit): Update call to _apply_lit.
	(apply_arglit): New function.
	(parse_args): Handle "a" arguments.
	(parse_auto_input): Handle format names using ":".
	* math/README.libm-test: Document "a" parameter type.
	* math/libm-test-support.h (ARG_TYPE_MIN): New macro.
	(ARG_TYPE_TRUE_MIN): Likewise.
	(ARG_TYPE_MAX): Likwise.
	(ARG_MIN_EXP): Likewise.
	(ARG_MAX_EXP): Likewise.
	(ARG_MANT_DIG): Likewise.
	(TEST_COND_arg_ibm128): Likewise.
	(TEST_COND_ibm128_libgcc): Define conditional on [ARG_FLOAT].
	(TEST_COND_arg_fmt): New macro.
	(init_max_error): Update prototype.
	* math/libm-test-support.c (test_ibm128): New variable.
	(init_max_error): Take argument testing_ibm128 and set test_ibm128
	instead of using [TEST_COND_ibm128] conditional.
	(test_exceptions): Use test_ibm128 instead of TEST_COND_ibm128.
	* math/libm-test-driver.c (STR_ARG_FLOAT): New macro.
	[TEST_NARROW] (TEST_MSG): New definition.
	(arg_plus_zero): New macro.
	(arg_minus_zero): Likewise.
	(arg_plus_infty): Likewise.
	(arg_minus_infty): Likewise.
	(arg_qnan_value_pl): Likewise.
	(arg_qnan_value): Likewise.
	(arg_snan_value_pl): Likewise.
	(arg_snan_value): Likewise.
	(arg_max_value): Likewise.
	(arg_min_value): Likewise.
	(arg_min_subnorm_value): Likewise.
	[ARG_FLOAT] (struct test_aa_f_data): New struct type.
	(RUN_TEST_LOOP_aa_f): New macro.
	(TEST_SUFF): New macro.
	(TEST_SUFF_STR): Likewise.
	[!TEST_MATHVEC] (VEC_SUFF): Don't define.
	(TEST_COND_any_ibm128): New macro.
	(START): Use TEST_SUFF and TEST_SUFF_STR in initializer for
	this_func.  Update call to init_max_error.
	* math/test-double.h (FUNC_NARROW_PREFIX): New macro.
	* math/test-float.h (FUNC_NARROW_PREFIX): Likewise.
	* math/test-float128.h (FUNC_NARROW_PREFIX): Likewise.
	* math/test-float32.h (FUNC_NARROW_PREFIX): Likewise.
	* math/test-float32x.h (FUNC_NARROW_PREFIX): Likewise.
	* math/test-float64.h (FUNC_NARROW_PREFIX): Likewise.
	* math/test-float64x.h (FUNC_NARROW_PREFIX): Likewise.
	* math/test-math-scalar.h (TEST_NARROW): Likewise.
	* math/test-math-vector.h (TEST_NARROW): Likewise.
	* math/test-arg-double.h: New file.
	* math/test-arg-float128.h: Likewise.
	* math/test-arg-float32x.h: Likewise.
	* math/test-arg-float64.h: Likewise.
	* math/test-arg-float64x.h: Likewise.
	* math/test-arg-ldouble.h: Likewise.
	* math/test-math-narrow.h: Likewise.
	* math/test-narrow-macros.c: Likewise.
	* sysdeps/ieee754/ldbl-opt/test-narrow-macros-ldbl-64.c: Likewise.
	* sysdeps/ieee754/ldbl-opt/Makefile (tests): Add
	test-narrow-macros-ldbl-64.
	(CFLAGS-test-narrow-macros-ldbl-64.c): New variable.
2018-02-09 21:55:48 +00:00

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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.
- "a" for ARG_FLOAT, the argument type for narrowing functions.
- "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.