TS 18661-1 defines canonicalize functions to produce a canonical
version of a floating-point representation. This patch implements
these functions for glibc.
As with the iscanonical macro, these functions are oriented to the
decimal floating-point case, where some values have both canonical and
noncanonical representations. However, the functions have a return
value that says whether they succeeded in storing a canonical result;
thus, they can fail for the case of an invalid representation (while
still not making any particular choice from among multiple equally
canonical valid representations of the same value). Since no
floating-point formats in glibc actually have noncanonical valid
representations, a type-generic implementation of these functions can
be used that expects iscanonical to return 0 only for invalid
representations. Now that iscanonical is used within libm.so,
libm_hidden_proto / libm_hidden_def are added for __iscanonicall.
The definition of these functions is intended to correspond to a
convertFormat operation to the same floating-point format. Thus, they
convert signaling NaNs to quiet NaNs, raising the "invalid" exception.
Such a conversion "should" produce "the canonical version of that
signaling NaN made quiet".
libm-test.inc is made to check NaN payloads for the output of these
functions, a new feature (at some point manipulation functions such as
fabs and copysign should have tests added that verify payload
preservation for them). As however some architectures may not follow
the recommended practice of preserving NaN payloads when converting a
signaling NaN to quiet, a new math-tests.h macro
SNAN_TESTS_PRESERVE_PAYLOAD is added, and defined to 0 for non-NAN2008
MIPS; any other architectures seeing test failures for lack of payload
preservation in this case should also define this macro to 0. (If any
cases arise where the sign isn't preserved either, those should have a
similar macro added.)
The ldbl-96 and ldbl-128ibm tests of iscanonical are renamed and
adapted to test canonicalizel as well on the same representations.
Tested for x86_64, x86, mips64 and powerpc.
* math/bits/mathcalls.h [__GLIBC_USE (IEC_60559_BFP_EXT)]
(canonicalize): New declaration.
* math/Versions (canonicalize): New libm symbol at version
GLIBC_2.25.
(canonicalizef): Likewise.
(canonicalizel): Likewise.
* math/Makefile (gen-libm-calls): Add s_canonicalizeF.
* math/s_canonicalize_template.c: New file.
* math/libm-test.inc: Update comment on functions tested and
testing of NaN payloads.
(TEST_NAN_PAYLOAD): New macro.
(NO_TEST_INLINE): Update value.
(XFAIL_TEST): Likewise.
(ERRNO_UNCHANGED): Likewise.
(ERRNO_EDOM): Likewise.
(ERRNO_ERANGE): Likewise.
(IGNORE_RESULT): Likewise.
(NON_FINITE): Likewise.
(TEST_SNAN): Likewise.
(NO_TEST_MATHVEC): Likewise.
(TEST_NAN_PAYLOAD_CANONICALIZE): New macro.
(check_float_internal): Check NaN payloads if TEST_NAN_PAYLOAD.
(struct test_Ffp_b1_data): New type.
(RUN_TEST_Ffp_b1): New macro.
(RUN_TEST_LOOP_Ffp_b1): Likewise.
(canonicalize_test_data): New array.
(canonicalize_test): New function.
(main): Call canonicalize_test.
* manual/arith.texi (FP Bit Twiddling): Document canonicalize,
canonicalizef and canonicalizel.
* manual/libm-err-tab.pl: Update comment on interfaces without
ulps tabulated.
* sysdeps/ieee754/ldbl-opt/nldbl-canonicalize.c: New file.
* sysdeps/ieee754/ldbl-opt/s_canonicalizel.c: Likewise.
* sysdeps/ieee754/ldbl-opt/Makefile (libnldbl-calls): Add
canonicalize.
(CFLAGS-nldbl-canonicalize.c): New variable.
* sysdeps/ieee754/ldbl-128ibm/test-iscanonical-ldbl-128ibm.c: Move
to ...
* sysdeps/ieee754/ldbl-128ibm/test-canonical-ldbl-128ibm.c:
... here.
(do_test): Also test canonicalizel.
* sysdeps/ieee754/ldbl-128ibm/Makefile (tests): Change
test-iscanonical-ldbl-128ibm to test-canonical-ldbl-128ibm.
* sysdeps/ieee754/ldbl-128ibm/include/bits/iscanonical.h: New
file.
* sysdeps/ieee754/ldbl-128ibm/s_iscanonicall.c (__iscanonicall):
Use libm_hidden_def.
* sysdeps/ieee754/ldbl-96/test-iscanonical-ldbl-96.c: Move to ...
* sysdeps/ieee754/ldbl-96/test-canonical-ldbl-96.c: ... here.
(do_test): Also test canonicalizel.
* sysdeps/ieee754/ldbl-96/Makefile (tests): Change
test-iscanonical-ldbl-96 to test-canonical-ldbl-96.
* sysdeps/ieee754/ldbl-96/include/bits/iscanonical.h: New file.
* sysdeps/ieee754/ldbl-96/s_iscanonicall.c (__iscanonicall): Use
libm_hidden_def.
* sysdeps/generic/math-tests.h (SNAN_TESTS_PRESERVE_PAYLOAD): New
macro.
* sysdeps/mips/math-tests.h [__mips_hard_float && !__mips_nan2008]
(SNAN_TESTS_PRESERVE_PAYLOAD): Likewise.
* sysdeps/nacl/libm.abilist: Update.
* sysdeps/unix/sysv/linux/aarch64/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/alpha/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/arm/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/hppa/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/i386/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/ia64/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/microblaze/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/mips/mips32/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/mips/mips64/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/nios2/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist:
Likewise.
* sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist:
Likewise.
* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist:
Likewise.
* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist:
Likewise.
* sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/sh/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/tile/tilegx/tilegx32/libm.abilist:
Likewise.
* sysdeps/unix/sysv/linux/tile/tilegx/tilegx64/libm.abilist:
Likewise.
* sysdeps/unix/sysv/linux/tile/tilepro/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/x86_64/64/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist: Likewise.
This patch adds getpayloadl to libnldbl, missed in my patch that
originally implemented getpayload functions.
Tested for powerpc.
* sysdeps/ieee754/ldbl-opt/nldbl-getpayload.c: New file.
* sysdeps/ieee754/ldbl-opt/Makefile (libnldbl-calls): Add
getpayload.
(CFLAGS-nldbl-getpayload.c): New variable.
ISO/IEC TS 18661-1 adds several functions in the strfrom family to stdlib.
This patch adds strfromd, strfromf, and strfroml. This is being done in
preparation for the new floating-point type, float128. The added functions
convert a floating-point value into a string, with configurable format.
TS 18661-1 defines functions for manipulating the payloads of NaNs.
This patch implements the getpayload functions for glibc; these
extract the NaN payload (from an argument passed as a pointer, for
which corresponding libm-test support is added) and return it in the
same floating-point type. The return value of these functions is
unspecified for non-NaN arguments; the patch does the simplest thing
to implement, which is that the functions do not check whether the
argument is a NaN and just treat the relevant bits of the
representation as a payload regardless. A conversion from integer to
floating-point is used to produce the required return value, except in
the ldbl-128 case; as 128-bit integers are not supported for all
configurations using ldbl-128, the code constructs the required
floating-point representation of the return value directly instead.
Tested for x86_64, x86, mips64 and powerpc.
* math/bits/mathcalls.h [__GLIBC_USE (IEC_60559_BFP_EXT)]
(getpayload): New declaration.
* math/Versions (getpayload): New libm symbol at version
GLIBC_2.25.
(getpayloadf): Likewise.
(getpayloadl): Likewise.
* math/Makefile (libm-calls): Add s_getpayloadF.
* math/libm-test.inc: Include <nan-high-order-bit.h>.
(struct test_f_f_data): Add comment.
(RUN_TEST_fp_f): New macro.
(RUN_TEST_LOOP_fp_f): Likewise.
(getpayload_test_data): New array.
(getpayload_test): New function.
(main): Call getpayload_test.
* math/gen-libm-test.pl (parse_args): Handle 'p' in argument
descriptor.
* manual/arith.texi (FP Bit Twiddling): Document getpayload,
getpayloadf and getpayloadl.
* manual/libm-err-tab.pl: Update comment on interfaces without
ulps tabulated.
* sysdeps/ieee754/dbl-64/s_getpayload.c: New file.
* sysdeps/ieee754/dbl-64/wordsize-64/s_getpayload.c: Likewise.
* sysdeps/ieee754/flt-32/s_getpayloadf.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_getpayloadl.c: Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_getpayloadl.c: Likewise.
* sysdeps/ieee754/ldbl-96/s_getpayloadl.c: Likewise.
* sysdeps/nacl/libm.abilist: Update.
* sysdeps/unix/sysv/linux/aarch64/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/alpha/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/arm/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/hppa/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/i386/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/ia64/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/microblaze/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/mips/mips32/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/mips/mips64/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/nios2/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist:
Likewise.
* sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist:
Likewise.
* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist:
Likewise.
* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist:
Likewise.
* sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/sh/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/tile/tilegx/tilegx32/libm.abilist:
Likewise.
* sysdeps/unix/sysv/linux/tile/tilegx/tilegx64/libm.abilist:
Likewise.
* sysdeps/unix/sysv/linux/tile/tilepro/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/x86_64/64/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist: Likewise.
This patch moves the HIGH_ORDER_BIT_IS_SET_FOR_SNAN macro from being
defined or undefined to the preferred convention of always being
defined, to either 0 or 1, so allowing typo-proof tests with #if.
The macro is moved from math_private.h to a new header
nan-high-order-bit.h to make it easy for all architectures to define,
either through the sysdeps/generic version of the header or through
providing their own version of the header, without needing #ifndef in
the generic math_private.h to give a default definition. The move
also allows the macro to be used without needing math_private.h to be
included; the immediate motivation of this patch is to allow tests to
access this information (to know what kinds of NaNs 0 is a valid
payload for) without needing to include math_private.h. Existing
C level rather than preprocessor conditionals at all, but this patch
does not make such a change).
Tested for x86_64 and x86 (testsuite); also verified for x86_64, x86,
mips64 and powerpc that installed stripped shared libraries are
unchanged by the patch.
* sysdeps/generic/nan-high-order-bit.h: New file.
* sysdeps/hppa/nan-high-order-bit.h: Likewise.
* sysdeps/mips/nan-high-order-bit.h: Likewise.
* sysdeps/hppa/math_private.h: Remove file.
* sysdeps/mips/math_private.h (HIGH_ORDER_BIT_IS_SET_FOR_SNAN): Do
not define here.
* sysdeps/ieee754/dbl-64/s_issignaling.c: Include
<nan-high-order-bit.h>.
[HIGH_ORDER_BIT_IS_SET_FOR_SNAN]: Test with #if not #ifdef.
* sysdeps/ieee754/dbl-64/s_totalorder.c: Include
<nan-high-order-bit.h>.
[HIGH_ORDER_BIT_IS_SET_FOR_SNAN]: Test with #if not #ifdef.
* sysdeps/ieee754/dbl-64/s_totalordermag.c: Include
<nan-high-order-bit.h>.
[HIGH_ORDER_BIT_IS_SET_FOR_SNAN]: Test with #if not #ifdef.
* sysdeps/ieee754/dbl-64/wordsize-64/s_issignaling.c: Include
<nan-high-order-bit.h>.
[HIGH_ORDER_BIT_IS_SET_FOR_SNAN]: Test with #if not #ifdef.
* sysdeps/ieee754/dbl-64/wordsize-64/s_totalorder.c: Include
<nan-high-order-bit.h>.
[HIGH_ORDER_BIT_IS_SET_FOR_SNAN]: Test with #if not #ifdef.
* sysdeps/ieee754/dbl-64/wordsize-64/s_totalordermag.c: Include
<nan-high-order-bit.h>.
[HIGH_ORDER_BIT_IS_SET_FOR_SNAN]: Test with #if not #ifdef.
* sysdeps/ieee754/flt-32/s_issignalingf.c: Include
<nan-high-order-bit.h>.
[HIGH_ORDER_BIT_IS_SET_FOR_SNAN]: Test with #if not #ifdef.
* sysdeps/ieee754/flt-32/s_totalorderf.c: Include
<nan-high-order-bit.h>.
[HIGH_ORDER_BIT_IS_SET_FOR_SNAN]: Test with #if not #ifdef.
* sysdeps/ieee754/flt-32/s_totalordermagf.c: Include
<nan-high-order-bit.h>.
[HIGH_ORDER_BIT_IS_SET_FOR_SNAN]: Test with #if not #ifdef.
* sysdeps/ieee754/ldbl-128/s_issignalingl.c: Include
<nan-high-order-bit.h>.
[HIGH_ORDER_BIT_IS_SET_FOR_SNAN]: Test with #if not #ifdef.
* sysdeps/ieee754/ldbl-128/s_totalorderl.c: Include
<nan-high-order-bit.h>.
[HIGH_ORDER_BIT_IS_SET_FOR_SNAN]: Test with #if not #ifdef.
* sysdeps/ieee754/ldbl-128/s_totalordermagl.c: Include
<nan-high-order-bit.h>.
[HIGH_ORDER_BIT_IS_SET_FOR_SNAN]: Test with #if not #ifdef.
* sysdeps/ieee754/ldbl-128ibm/s_issignalingl.c: Include
<nan-high-order-bit.h>.
[HIGH_ORDER_BIT_IS_SET_FOR_SNAN]: Test with #if not #ifdef.
* sysdeps/ieee754/ldbl-128ibm/s_totalorderl.c: Include
<nan-high-order-bit.h>.
[HIGH_ORDER_BIT_IS_SET_FOR_SNAN]: Test with #if not #ifdef.
* sysdeps/ieee754/ldbl-128ibm/s_totalordermagl.c: Include
<nan-high-order-bit.h>.
[HIGH_ORDER_BIT_IS_SET_FOR_SNAN]: Test with #if not #ifdef.
* sysdeps/ieee754/ldbl-96/s_issignalingl.c: Include
<nan-high-order-bit.h>.
[HIGH_ORDER_BIT_IS_SET_FOR_SNAN]: Test with #if not #ifdef.
* sysdeps/ieee754/ldbl-96/s_totalorderl.c: Include
<nan-high-order-bit.h>.
[HIGH_ORDER_BIT_IS_SET_FOR_SNAN]: Test with #if not #ifdef.
* sysdeps/ieee754/ldbl-96/s_totalordermagl.c: Include
<nan-high-order-bit.h>.
[HIGH_ORDER_BIT_IS_SET_FOR_SNAN]: Test with #if not #ifdef.
TS 18661-1 defines totalorder functions implementing the totalOrder
comparison operation from IEEE 754-2008. This patch implements these
functions for glibc, including the type-generic macro in <tgmath.h>.
(The totalordermag functions will be added in a separate patch.)
The description of the totalOrder operation is complicated. However,
for IEEE interchange binary formats and the preferred quiet NaN
convention, what that complicated description means is that you
interpret the representation as a sign-magnitude integer (with -0
coming before +0) and do a <= comparison on that interpretation. For
finite values and infinities the ordering of the sign-magnitude
integers is just the same as the ordering of floating-point values, so
this extends that to all representations. (Different representations
of the same floating-point value - which includes same quantum in the
decimal case - must still be considered equal by this operation, but
that issue doesn't arise for IEEE interchange binary formats.) So the
complications are:
* When MIPS quiet NaN conventions are in use, the representation of
NaNs needs adjusting before making such an integer comparison. This
patch does this adjustment only when both arguments are NaNs, as
there's no need for it if only one is a NaN, and as long as both are
NaNs you can just flip the relevant bits without any problems from
this turning a NaN into an infinity.
* For the m68k version of ldbl-96, where the high mantissa bit is
"don't care" for infinities and NaNs, representations where it
differs must compare the same. Note: although the testcase for this
compiles, I have not actually tested on m68k.
* For ldbl-128ibm, the low part must be ignored when the high part is
NaN, and low parts of +0 and -0 must be considered the same whatever
the high part.
The new tests in libm-test.inc are the first tests there specifying
particular payloads for input NaNs. Separate tests are also added for
the ldbl-96 and ldbl-128ibm special cases where there are different
representations of the same value that must compare equal (which can't
be covered in libm-test.inc as that only specifies values, not
representations).
Tested for x86_64, x86, mips64 and powerpc.
* math/bits/mathcalls.h [__GLIBC_USE (IEC_60559_BFP_EXT)]
(totalorder): New declaration.
* math/tgmath.h [__GLIBC_USE (IEC_60559_BFP_EXT)] (totalorder):
New macro.
* math/Versions (totalorder): New libm symbol at version
GLIBC_2.25.
(totalorderf): Likewise.
(totalorderl): Likewise.
* math/Makefile (libm-calls): Add s_totalorderF.
* math/gen-libm-test.pl (parse_args): Escape quotes in test name
string.
* math/libm-test.inc (PAYLOAD_DIG): New macro.
(qnan_value_pl): Likewise.
(snan_value_pl): Likewise.
(qnan_value): Define using qnan_value_pl.
(snan_value): Define using snan_value_pl.
(struct test_ff_i_data): Add comment about which tests use this
structure.
(RUN_TEST_ff_b): New macro.
(RUN_TEST_LOOP_ff_b): Likewise.
(totalorder_test_data): New array.
(totalorder_test): New function.
(main): Call totalorder_test.
* math/test-tgmath.c (NCALLS): Increase to 122.
(F(compile_test)): Call totalorder.
(F(totalorder)): New function.
* manual/arith.texi (FP Comparison Functions): Document
totalorder, totalorderf and totalorderl.
* manual/libm-err-tab.pl: Update comment on interfaces without
ulps tabulated.
* sysdeps/ieee754/dbl-64/s_totalorder.c: New file.
* sysdeps/ieee754/dbl-64/wordsize-64/s_totalorder.c: Likewise.
* sysdeps/ieee754/flt-32/s_totalorderf.c: Likewise.
* sysdeps/ieee754/ldbl-128/s_totalorderl.c: Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_totalorderl.c: Likewise.
* sysdeps/ieee754/ldbl-96/s_totalorderl.c: Likewise.
* sysdeps/ieee754/ldbl-opt/nldbl-totalorder.c: Likewise.
* sysdeps/ieee754/ldbl-opt/Makefile (libnldbl-calls): Add
totalorder.
(CFLAGS-nldbl-totalorder.c): New variable.
* sysdeps/ieee754/ldbl-128ibm/test-totalorderl-ldbl-128ibm.c: New
file.
* sysdeps/ieee754/ldbl-128ibm/Makefile [$(subdir) = math] (tests):
Add test-totalorderl-ldbl-128ibm.
* sysdeps/ieee754/ldbl-96/test-totalorderl-ldbl-96.c: New file.
* sysdeps/ieee754/ldbl-96/Makefile [$(subdir) = math] (tests): Add
test-totalorderl-ldbl-96.
* sysdeps/nacl/libm.abilist: Update.
* sysdeps/unix/sysv/linux/aarch64/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/alpha/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/arm/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/hppa/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/i386/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/ia64/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/microblaze/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/mips/mips32/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/mips/mips64/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/nios2/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist:
Likewise.
* sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist:
Likewise.
* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist:
Likewise.
* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist:
Likewise.
* sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/sh/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/tile/tilegx/tilegx32/libm.abilist:
Likewise.
* sysdeps/unix/sysv/linux/tile/tilegx/tilegx64/libm.abilist:
Likewise.
* sysdeps/unix/sysv/linux/tile/tilepro/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/x86_64/64/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist: Likewise.
Like the previous change, make the quadrant shift a boolean to make it
clearer that we will do at most a single rotation of the quadrants to
compute the cosine from the sine function.
This does not affect codegen.
For k1 in 1 and 3, n can only have values of 0 and 2, so checking k1 &
2 is equivalent to checking n & 2. We prefer the latter so that we
don't use k1 for anything other than selecting the quadrant in
do_sincos_1, thus dropping it completely.
The previous logic was:
"Compute sine for the value and based on the new rotated quadrant
(k1) negate the value if we're in the fourth quadrant."
With this change, the logic now is:
"Compute sine for the value and negate it if we were either (1) in
the fourth quadrant or (2) we actually wanted the cosine and were
in the third quadrant."
* sysdeps/ieee754/dbl-64/s_sin.c (do_sincos_1): Check N
instead of K1.
The do_sincos_* functions are helpers to compute sin/cos, where they
get cosine by computing sine for the next quadrant. This is decided
with the value of K passed to it, which is the amount by which to
shift the quadrant. Since we will only need the shift to be 0 or 1,
we make K a bool to make that explicit.
* sysdeps/ieee754/dbl-64/s_sin.c (do_sincos_1): Rename K to
SHIFT_QUADRANT and make it bool.
(do_sincos_2): Likewise.
(sloww): Likewise.
(sloww1): Likewise.
(__sin): Adjust calls to do_sincos_1 and do_sincos_2.
(__cos): Likewise.
sysdeps/ieee754/dbl-64/dla.h can use a macro DLA_FMS for more
efficient double-width operations when fused multiply-subtract is
supported. However, this macro is only defined for x86_64,
conditional on architecture-specific __FMA4__. This patch makes the
code use __builtin_fma conditional on __FP_FAST_FMA, as used elsewhere
in glibc.
Tested for x86_64, x86 and powerpc. On powerpc (where this is causing
fused operations to be used where they weren't previously) I see an
increase from 1ulp to 2ulp in the imaginary part of clog10:
testing double (without inline functions)
Failure: Test: Imaginary part of: clog10 (0x1.7a858p+0 - 0x6.d940dp-4 i)
Result:
is: -1.2237865208199886e-01 -0x1.f5435146bb61ap-4
should be: -1.2237865208199888e-01 -0x1.f5435146bb61cp-4
difference: 2.7755575615628914e-17 0x1.0000000000000p-55
ulp : 2.0000
max.ulp : 1.0000
Maximal error of real part of: clog10
is : 3 ulp
accepted: 3 ulp
Maximal error of imaginary part of: clog10
is : 2 ulp
accepted: 1 ulp
This is actually resulting from atan2 becoming *more* accurate (atan2
(-0x6.d940dp-4, 0x1.7a858p+0) should ideally be -0x1.208cd6e841554p-2
but was -0x1.208cd6e841555p-2 from a powerpc libm built before this
change, and is -0x1.208cd6e841554p-2 from a powerpc libm built after
this change). Since these functions are not expected to be correctly
rounding by glibc's accuracy goals, neither result is a problem, but
this does imply that some of this code, although designed to be
correctly rounding, is not in fact correctly rounding (possibly
because of GCC creating fused operations where the code does not
expect it, something we've only disabled for specific functions where
it was found to cause large errors). (Of course as previously
discussed I think we should remove the slow cases where an error
analysis shows this wouldn't increase the errors much above 0.5ulp;
it's only functions such as cratan2 that are expected to be correctly
rounding, not atan2.)
* sysdeps/ieee754/dbl-64/dla.h [__FP_FAST_FMA] (DLA_FMS): Define
macro to use __builtin_fma.
* sysdeps/x86_64/fpu/dla.h: Remove file.
This patch fixes the ldbl-128ibm version of the iscanonical macro not
to use __iscanonicall when long double = double (-mlong-double-64).
Tested for powerpc.
* sysdeps/ieee754/ldbl-128ibm/bits/iscanonical.h
[__NO_LONG_DOUBLE_MATH] (__iscanonicall): Do not declare.
[__NO_LONG_DOUBLE_MATH] (iscanonical): Define to evaluate to 1.
TS 18661-1 adds an iscanonical classification macro to <math.h>.
The motivation for this is decimal floating-point, where some values
have both canonical and noncanonical encodings. For IEEE binary
interchange formats, all encodings are canonical. For x86/m68k
ldbl-96, and for ldbl-128ibm, there are encodings that do not
represent any valid value of the type; although formally iscanonical
does not need to handle trap representations (and so could just always
return 1), it seems useful, and in line with the description in the TS
of "representations that are extraneous to the floating-point model"
as being non-canonical (as well as "redundant representations of some
or all of its values"), for it to detect those representations and
return 0 for them.
This patch adds iscanonical to glibc. It goes in a header
<bits/iscanonical.h>, included under appropriate conditions in
<math.h>. The default header version just evaluates the argument
(converted to its semantic type, though current GCC will probably
discard that conversion and any exceptions resulting from it) and
returns 1. ldbl-96 and ldbl-128ibm then have versions of the header
that call a function __iscanonicall for long double (the sizeof-based
tests will of course need updating for float128 support, like other
such type-generic macro implementations). The ldbl-96 version of
__iscanonicall has appropriate conditionals to reflect the differences
in the m68k version of that format (where the high mantissa bit may be
either 0 or 1 when the exponent is 0 or 0x7fff). Corresponding tests
for those formats are added as well. Other architectures do not have
any new functions added because just returning 1 is correct for all
their floating-point formats.
Tested for x86_64, x86, mips64 (to test the default macro version) and
powerpc.
* math/math.h [__GLIBC_USE (IEC_60559_BFP_EXT)]: Include
<bits/iscanonical.h>.
* bits/iscanonical.h: New file.
* math/s_iscanonicall.c: Likewise.
* math/Versions (__iscanonicall): New libm symbol at version
GLIBC_2.25.
* math/libm-test.inc (iscanonical_test_data): New array.
(iscanonical_test): New function.
(main): Call iscanonical_test.
* math/Makefile (headers): Add bits/iscanonical.h.
(type-ldouble-routines): Add s_iscanonicall.
* manual/arith.texi (Floating Point Classes): Document
iscanonical.
* manual/libm-err-tab.pl: Update comment on interfaces without
ulps tabulated.
* sysdeps/ieee754/ldbl-128ibm/bits/iscanonical.h: New file.
* sysdeps/ieee754/ldbl-128ibm/s_iscanonicall.c: Likewise.
* sysdeps/ieee754/ldbl-128ibm/test-iscanonical-ldbl-128ibm.c:
Likewise.
* sysdeps/ieee754/ldbl-128ibm/Makefile (tests): Add
test-iscanonical-ldbl-128ibm.
* sysdeps/ieee754/ldbl-96/bits/iscanonical.h: New file.
* sysdeps/ieee754/ldbl-96/s_iscanonicall.c: Likewise.
* sysdeps/ieee754/ldbl-96/test-iscanonical-ldbl-96.c: Likewise.
* sysdeps/ieee754/ldbl-96/Makefile: Likewise.
* sysdeps/unix/sysv/linux/i386/libm.abilist: Update.
* sysdeps/unix/sysv/linux/ia64/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist:
Likewise.
* sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist:
Likewise.
* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist:
Likewise.
* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist:
Likewise.
* sysdeps/unix/sysv/linux/x86_64/64/libm.abilist: Likewise.
* sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist: Likewise.
These are remaining cases where we can deduce and conclude that the
sign of the result should be the same as the sign of the input being
checked. For example, for sin(x), the sign of the result is the same
as the result itself for x < pi. Likewise, for sine values where x
after range reduction falls into this range and its sign is preserved.
* sysdeps/ieee754/dbl-64/s_sin.c (do_sincos_1): Use copysign
instead of ternary condition.
(do_sincos_2): Likewise.
(__sin): Likewise.
(__cos): Likewise.
(slow): Likewise.
(sloww): Likewise.
(sloww1): Likewise.
(bsloww): Likewise.
(bsloww1): Likewise.
This is the first very simple substitution of ternary conditions for
correction adjustments with __copysign for positive constants.
* sysdeps/ieee754/dbl-64/s_sin.c (do_cos_slow): use copysign
instead of ternary condition.
(do_sin_slow): Likewise.
(do_sincos_1): Likewise.
(do_sincos_2): Likewise.
(__cos): Likewise.
(sloww): Likewise.
(sloww1): Likewise.
(sloww2): Likewise.
(bsloww): Likewise.
(bsloww1): Likewise.
(bsloww2): Likewise.
Simplify the code a bit by consolidating sign checks in slow1 and
slow2 into __sin at the higher level.
* sysdeps/ieee754/dbl-64/s_sin.c (slow1): Consolidate sign
check from here...
(slow2): ... and here...
(__sin): ... to here.
This requires adding a macro to synthesize the call
to __strto*_nan. Since this is likely to be the only
usage ever for strto* functions in generated libm
calls, a dedicated macro is defined for it.
This one is a little more tricky since it is built both for
libm and libc, and exports multiple aliases.
To simplify aliasing, a new macro is introduced which handles
aliasing to two symbols. By default, it just applies
declare_mgen_alias to both target symbols.
Likewise, the makefile is tweaked a little to generate
templates for shared files too, and a new rule is added
to build m_*.c objects from the objpfx directory.
Verified there are no symbol or code changes using a script
to diff the *_ldexp* object files on s390x, aarch64, arm,
x86_64, and ppc64.
This runs the attached sed script against these files using
a regex which aggressively matches long double literals
when not obviously part of a comment.
Likewise, 5 digit or less integral constants are replaced
with integer constants, excepting the two cases of 0 used
in large tables, which are also the only integral values
of the form x.0*E0L encountered within these converted
files.
Likewise, -L(x) is transformed into L(-x).
Naturally, the script has a few minor hiccups which are
more clearly remedied via the attached fixup patch. Such
hiccups include, context-sensitive promotion to a real
type, and munging constants inside harder to detect
comment blocks.
The support functions for sin and cos have a lot of identical
functionality, so inlining them gives a pretty decent jump in
functionality: ~19% in the sincos function. On SPEC2006 this
translates to about 2.1% in the tonto test.
* sysdeps/ieee754/dbl-64/s_sin.c (do_cos): Mark as inline.
(do_cos_slow): Likewise.
(do_sin): Likewise.
(do_sin_slow): Likewise.
(slow): Likewise.
(slow1): Likewise.
(slow2): Likewise.
(sloww): Likewise.
(sloww1): Likewise.
(sloww2): Likewise.
(bsloww): Likewise.
(bsloww1): Likewise.
(bsloww2): Likewise.
(cslow2): Likewise.
The only code looks slightly different from do_sin but on closer
examination, should give exactly the same result. Drop it in favour
of the do_sin function call.
* sysdeps/ieee754/dbl-64/s_sin.c (__sin): Use do_sin.
All calls to do_cos are preceded by code that partitions x into a
larger double that gives an offset into the sincos table and a smaller
double that is used in a polynomial computation. Consolidate all of
them into do_cos and do_sin to reduce code duplication.
* sysdeps/ieee754/dbl-64/s_sin.c (do_cos): Accept X and DX as input
arguments. Consolidate input partitioning from callers here.
(do_cos_slow): Likewise.
(do_sin): Likewise.
(do_sin_slow): Likewise.
(do_sincos_1): Remove the no longer necessary input partitioning.
(do_sincos_2): Likewise.
(__sin): Likewise.
(__cos): Likewise.
(slow1): Likewise.
(slow2): Likewise.
(sloww1): Likewise.
(sloww2): Likewise.
(bsloww1): Likewise.
(bsloww2): Likewise.
(cslow2): Likewise.
With the exception of those machines using the ldbl-opt in
an Implies file, this is a trivial transformation.
nextdownl is not subject to the non-trivial versioning rules
of the other generated functions, so to keep things simple,
it is handled as a one-off case in ldbl-opt to preserve the
existing behavior.
The only difference is the usage of math_narrow_eval when
building s_fdiml.c. This should be harmless for long double,
but I did observe some code generation changes on m68k, but
lack the resources to test it.
Likewise, to more easily support overriding symbol generation,
the aliasing macros are always conditionally defined on their
absence to reduce boilerplate.
I also ran builds for i486, ppc64, sparcv9, aarch64,
s390x and observed no changes to s_fdim* objects.
Add a layer of macro indirection for long double files
which need to be built using another typename. Likewise,
add the L(num) macro used in a later patch to override
real constants.
These macros are only defined through the ldbl-128
math_ldbl.h header, thereby implicitly restricting
these macros to machines which back long double
with an IEEE binary128 format.
Likewise, appropriate changes are made for the few
files which indirectly include such ldbl-128 files.
These changes produce identical binaries for s390x,
aarch64, and ppc64.
The sin and cos code is inconsistent about its use of fabs to get the
absolute value of X where in some places it conditionalizes the code
while in others it uses fabs. fabs seems to be a better candidate in
most cases because it avoids a branch. Similarly there is an attempt
to make it easier for the compiler to emit conditional assignment
instructions (like fcsel on aarch64) where it can, by isolating
conditional assignment constructs from the rest of the expression.
A further benefit of this change is to identify common constructs
across functions and consolidate them in future patches.
* sysdeps/ieee754/dbl-64/s_sin.c (do_cos_slow): Use ternary
instead of if/else.
(do_sin_slow): Likewise.
(do_sincos_1): Use fabs instead of if/else.
(do_sincos_2): Likewise.
(__sin): Likewise.
(__cos): Likewise.
(slow2): Likewise.
(sloww): Likewise.
(sloww1): Likewise. Drop argument M.
(sloww2): Use fabs instead of if/else.
(bsloww): Likewise.
(bsloww1): Likewise.
(bsloww2): Likewise.
This patch reshuffles the reduce_and_compute code so that the
structure matches other code structures of the same type elsewhere in
s_sin.c and s_sincos.c. This is the beginning of an attempt to
consolidate and reduce code duplication in functions in s_sin.c to
make it easier to read and possibly also easier for the compiler to
optimize.
* sysdeps/ieee754/dbl-64/s_sin.c (reduce_and_compute):
Consolidate switch cases 0 and 2.
Convert cpow, clog, clog10, cexp, csqrt, and cproj functions
into generated templates. Note, ldbl-opt still retains
s_clog10l.c as the aliasing rules are non-trivial.
A number of files share identical code for the
mul_split function.
This moves the duplicated function mul_split into its
own header, and refactors the fma usage into a single
selection macro. Likewise, mul_split when used by a
long double implementation is renamed mul_splitl for
clarity.
On s390x I get the following werror when build with gcc 6.1 (or current gcc head) and -O3:
../sysdeps/ieee754/dbl-64/k_rem_pio2.c: In function ‘__kernel_rem_pio2’:
../sysdeps/ieee754/dbl-64/k_rem_pio2.c:254:18: error: array subscript is below array bounds [-Werror=array-bounds]
for (k = 1; iq[jk - k] == 0; k++)
~~^~~~~~~~
I get the same error with sysdeps/ieee754/flt-32/k_rem_pio2f.c.
This patch adds DIAG_* macros around it.
ChangeLog:
* sysdeps/ieee754/dbl-64/k_rem_pio2.c (__kernel_rem_pio2):
Use DIAG_*_NEEDS_COMMENT macro to get rid of array-bounds warning.
* sysdeps/ieee754/flt-32/k_rem_pio2f.c (__kernel_rem_pio2f):
Likewise.
This defines a new classes of libm objects. The
<func>_template.c file which is used in conjunction
with the new makefile hooks to derive variants for
each type supported by the target machine.
The headers math-type-macros-TYPE.h are used to supply
macros to a common implementation of a function in
a file named FUNC_template.c and glued togethor via
a generated file matching existing naming in the
build directory.
This has the properties of preserving the existing
override mechanism and not requiring any arcane
build system twiddling. Likewise, it enables machines
to override these files without any additional work.
I have verified the built objects for ppc64, x86_64,
alpha, arm, and m68k do not change in any meaningful
way with these changes using the Fedora cross toolchains.
I have verified the x86_64 and ppc64 changes still run.
There is quiet truncation to double arithmetic in several
files. I noticed them when building ldbl-128 in a
soft-fp context. This did not change any test results.
sparc64 passes floating point values in the floating point registers.
As the the generic ceil, floor and trunc functions use integer
instructions, it makes sense to provide a VIS3 version consisting in
the the generic version compiled with -mvis3. GCC will then use
movdtox, movxtod, movwtos and movstow instructions.
sparc32 passes the floating point values in the integer registers, so it
doesn't make sense to do the same.
Changelog:
* sysdeps/ieee754/dbl-64/s_trunc.c: Avoid alias renamed.
* sysdeps/ieee754/dbl-64/wordsize-64/s_trunc.c: Likewise.
* sysdeps/ieee754/flt-32/s_truncf.c: Likewise.
* sysdeps/sparc/sparc64/fpu/multiarch/Makefile
[$(subdir) = math && $(have-as-vis3) = yes] (libm-sysdep_routines):
Add s_ceilf-vis3, s_ceil-vis3, s_floorf-vis3, s_floor-vis3,
s_truncf-vis3, s_trunc-vis3.
(CFLAGS-s_ceilf-vis3.c): New. Set to -Wa,-Av9d -mvis3.
(CFLAGS-s_ceil-vis3.c): Likewise.
(CFLAGS-s_floorf-vis3.c): Likewise.
(CFLAGS-s_floor-vis3.c): Likewise.
(CFLAGS-s_truncf-vis3.c): Likewise.
(CFLAGS-s_trunc-vis3.c): Likewise.
* sysdeps/sparc/sparc64/fpu/multiarch/s_ceil-vis3.c: New file.
* sysdeps/sparc/sparc64/fpu/multiarch/s_ceil.c: Likewise.
* sysdeps/sparc/sparc64/fpu/multiarch/s_ceilf-vis3.c: Likewise.
* sysdeps/sparc/sparc64/fpu/multiarch/s_ceilf.c: Likewise.
* sysdeps/sparc/sparc64/fpu/multiarch/s_floor-vis3.c: Likewise.
* sysdeps/sparc/sparc64/fpu/multiarch/s_floor.c: Likewise.
* sysdeps/sparc/sparc64/fpu/multiarch/s_floorf-vis3.c: Likewise.
* sysdeps/sparc/sparc64/fpu/multiarch/s_floorf.c: Likewise.
* sysdeps/sparc/sparc64/fpu/multiarch/s_trunc-vis3.c: Likewise.
* sysdeps/sparc/sparc64/fpu/multiarch/s_trunc.c: Likewise.
* sysdeps/sparc/sparc64/fpu/multiarch/s_truncf-vis3.c: Likewise.
* sysdeps/sparc/sparc64/fpu/multiarch/s_truncf.c: Likewise.
During the sincos consolidation I made two mistakes, one was a logical
error due to which cos(0x1.8475e5afd4481p+0) returned
sin(0x1.8475e5afd4481p+0) instead.
The second issue was an error in negating inputs for the correct
quadrants for sine. I could not find a suitable test case for this
despite running a program to search for such an input for a couple of
hours.
Following patch fixes both issues. Tested on x86_64. Thanks to Matt
Clay for identifying the issue.
[BZ #20357]
* sysdeps/ieee754/dbl-64/s_sin.c (sloww): Fix up condition
to call __mpsin/__mpcos and to negate values.
* math/auto-libm-test-in: Add test.
* math/auto-libm-test-out: Regenerate.
TS 18661 adds nextup and nextdown functions alongside nextafter to provide
support for float128 equivalent to it. This patch adds nextupl, nextup,
nextupf, nextdownl, nextdown and nextdownf to libm before float128 support.
The nextup functions return the next representable value in the direction of
positive infinity and the nextdown functions return the next representable
value in the direction of negative infinity. These are currently enabled
as GNU extensions.
The dbl-64 implementation of atan2, passed arguments (sNaN, qNaN),
fails to raise the "invalid" exception. This patch fixes it to add
both arguments, rather than just adding the second argument to itself,
in the case where the second argument is a NaN (which is checked for
before checking for the first argument being a NaN). sNaN tests for
atan2 are added, along with some qNaN tests I noticed were missing but
should have been there by analogy with other tests present.
Tested for x86_64 and x86.
[BZ #20252]
* sysdeps/ieee754/dbl-64/e_atan2.c (__ieee754_atan2): Add both
arguments when second argument is a NaN.
* math/libm-test.inc (atan2_test_data): Add sNaN tests and more
qNaN tests.
Various implementations of frexp functions return sNaN for sNaN
input. This patch fixes them to add such arguments to themselves so
that qNaN is returned.
Tested for x86_64, x86, mips64 and powerpc.
[BZ #20250]
* sysdeps/i386/fpu/s_frexpl.S (__frexpl): Add non-finite input to
itself.
* sysdeps/ieee754/dbl-64/s_frexp.c (__frexp): Add non-finite or
zero input to itself.
* sysdeps/ieee754/dbl-64/wordsize-64/s_frexp.c (__frexp):
Likewise.
* sysdeps/ieee754/flt-32/s_frexpf.c (__frexpf): Likewise.
* sysdeps/ieee754/ldbl-128/s_frexpl.c (__frexpl): Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_frexpl.c (__frexpl): Likewise.
* sysdeps/ieee754/ldbl-96/s_frexpl.c (__frexpl): Likewise.
* math/libm-test.inc (frexp_test_data): Add sNaN tests.
The ldbl-128ibm version of log1pl returns sNaN for sNaN input. This
patch fixes it to add such inputs to themselves so that qNaN is
returned in this case.
Tested for powerpc.
[BZ #20234]
* sysdeps/ieee754/ldbl-128ibm/s_log1pl.c (__log1pl): Add positive
infinity or NaN input to itself.
The ldbl-128ibm version of expm1l returns sNaN for sNaN input. This
patch fixes it to add such inputs to themselves so that qNaN is
returned in this case.
Tested for powerpc.
[BZ #20233]
* sysdeps/ieee754/ldbl-128ibm/s_expm1l.c (__expm1l): Add NaN input
to itself.
