i386 scalb / scalbn / scalbln (and thus ldexp) functions for float and
double can return results with excess range (and consequently excess
precision for subnormal results). As the results of these functions
are fully determined by reference to IEEE 754 operations, this is
unambiguously a bug, apart from the testsuite failures it causes.
This patch makes those functions store their results on the stack and
load them back to eliminate the excess range. Double rounding is not
a problem, as the only cases where it could occur are when the result
overflows or underflows for extended precision, and then the
double-rounded results are the same as the single-rounded results.
The new macros will be used for more functions, more such macros
added, and existing code refactored to use such macros, in subsequent
patches.
Tested for x86. Committed.
[BZ #18981]
* sysdeps/i386/fpu/i386-math-asm.h: New file.
* sysdeps/i386/fpu/e_scalb.S: Include <i386-math-asm.h>.
(__ieee754_scalb): Use DBL_NARROW_EVAL.
* sysdeps/i386/fpu/e_scalbf.S: Include <i386-math-asm.h>.
(__ieee754_scalbf): Use FLT_NARROW_EVAL.
* sysdeps/i386/fpu/s_scalbn.S: Include <i386-math-asm.h>.
(__scalbn): Use DBL_NARROW_EVAL.
* sysdeps/i386/fpu/s_scalbnf.S: Include <i386-math-asm.h>.
(__scalbnf): Use FLT_NARROW_EVAL.
Various x86 / x86_64 versions of scalb / scalbf / scalbl produce
spurious "invalid" exceptions for (qNaN, -Inf) arguments, because this
is wrongly handled like (+/-Inf, -Inf) which *should* raise such an
exception. (In fact the NaN case of the code determining whether to
quietly return a zero or a NaN for second argument -Inf was
accidentally dead since the code had been made to return a NaN with
exception.) This patch fixes the code to do the proper test for an
infinity as distinct from a NaN.
(Since the existing code does nothing to distinguish qNaNs and sNaNs
here, this patch doesn't either. If in future we systematically
implement proper sNaN semantics following TS 18661-1:2014, there will
be lots of bugs to address - Thomas found lots of issues with his
patch <https://sourceware.org/ml/libc-ports/2013-04/msg00008.html> to
add SNaN tests (which never went in and would now require significant
reworking).)
Tested for x86_64 and x86. Committed.
[BZ #16783]
* sysdeps/i386/fpu/e_scalb.S (__ieee754_scalb): Do not handle
arguments (NaN, -Inf) the same as (+/-Inf, -Inf).
* sysdeps/i386/fpu/e_scalbf.S (__ieee754_scalbf): Likewise.
* sysdeps/i386/fpu/e_scalbl.S (__ieee754_scalbl): Likewise.
* sysdeps/x86_64/fpu/e_scalbl.S (__ieee754_scalbl): Likewise.
* math/libm-test.inc (scalb_test_data): Add more tests.
* sysdeps/i386/fpu/e_scalb.S: Handle NaN as first parameter correctly.
* sysdeps/i386/fpu/e_scalbf.S: Likewise.
* sysdeps/i386/fpu/e_scalbl.S: Likewise.
* math/w_scalb.c: Don't use matherr except in SVID mode.
* math/w_scalbf.c: Likewise.
* math/w_scalbl.c: Likewise.
* math/test-misc.c: Add test for NaN and scalbl.
Reported by Fred J. Tydeman <tydeman@tybor.com>.
2000-12-04 Ulrich Drepper <drepper@redhat.com>