This patch fixes bug 16789, incorrect sign of (real part) zero result
from clog and clog10 in round-downward mode, arising from that real
part being computed as 0 - 0. To ensure that an underflow exception
occurred, the code used an underflowing value (the next term in the
series for log1p) in arithmetic computing the real part of the result,
yielding the problematic 0 - 0 computation in some cases even when the
mathematical result would be small but positive. The patch changes
this code to use the math_force_eval approach to ensuring that an
underflowing computation actually occurs. Tests of clog and clog10
are enabled in all rounding modes.
Tested x86_64 and x86 and ulps updated accordingly.
[BZ #16789]
* math/s_clog.c (__clog): Use math_force_eval to ensure underflow
instead of using underflowing value in computing result.
* math/s_clog10.c (__clog10): Likewise.
* math/s_clog10f.c (__clog10f): Likewise.
* math/s_clog10l.c (__clog10l): Likewise.
* math/s_clogf.c (__clogf): Likewise.
* math/s_clogl.c (__clogl): Likewise.
* math/libm-test.inc (clog_test): Use ALL_RM_TEST.
(clog10_test): Likewise.
* sysdeps/i386/fpu/libm-test-ulps: Update.
* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
This patch fixes the imaginary part of clog10 (-0 +/- 0i), which
should be +/-pi / log(10) by analogy with clog (the functions were
wrongly returning a result with imaginary part +/-pi, same as for
clog, and the tests matched the incorrect result, though both
functions and tests were correct for the similar case of clog10 (-inf
+/- 0i)). Tested x86_64 and x86.
[BZ #16362]
* math/s_clog10.c (M_PI_LOG10E): New macro.
(__clog10): Use M_PI_LOG10E instead of M_PI when real and
imaginary parts are 0.
* math/s_clog10f.c (M_PI_LOG10Ef): New macro.
(__clog10f): Use M_PI_LOG10Ef instead of M_PI when real and
imaginary parts are 0.
* math/s_clog10l.c (M_PI_LOG10El): New macro.
(__clog10l): Use M_PI_LOG10El instead of M_PIl when real and
imaginary parts are 0.
* math/libm-test.inc (clog10_test_data): Update expected results
for when real and imaginary parts are 0.
Joseph Myers