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[Commits] r17984 - in /fsf/trunk/libc: ./ manual/ math/ sysdeps/i386/fpu/ sysdeps/i386/fpu/bits/ sysdeps/ieee754/dbl-64/ sysdeps/x86_6...
- To: commits@xxxxxxxxxx
- Subject: [Commits] r17984 - in /fsf/trunk/libc: ./ manual/ math/ sysdeps/i386/fpu/ sysdeps/i386/fpu/bits/ sysdeps/ieee754/dbl-64/ sysdeps/x86_6...
- From: eglibc@xxxxxxxxxx
- Date: Tue, 10 Apr 2012 00:02:06 -0000
Author: eglibc
Date: Tue Apr 10 00:02:05 2012
New Revision: 17984
Log:
Import glibc-mainline for 2012-04-10
Modified:
fsf/trunk/libc/ChangeLog
fsf/trunk/libc/NEWS
fsf/trunk/libc/manual/filesys.texi
fsf/trunk/libc/manual/install.texi
fsf/trunk/libc/manual/stdio.texi
fsf/trunk/libc/math/libm-test.inc
fsf/trunk/libc/math/s_ctan.c
fsf/trunk/libc/math/s_ctanf.c
fsf/trunk/libc/math/s_ctanh.c
fsf/trunk/libc/math/s_ctanhf.c
fsf/trunk/libc/math/s_ctanhl.c
fsf/trunk/libc/math/s_ctanl.c
fsf/trunk/libc/sysdeps/i386/fpu/bits/mathinline.h
fsf/trunk/libc/sysdeps/i386/fpu/e_pow.S
fsf/trunk/libc/sysdeps/i386/fpu/e_powl.S
fsf/trunk/libc/sysdeps/i386/fpu/libm-test-ulps
fsf/trunk/libc/sysdeps/ieee754/dbl-64/e_pow.c
fsf/trunk/libc/sysdeps/x86_64/fpu/e_powl.S
fsf/trunk/libc/sysdeps/x86_64/fpu/libm-test-ulps
Modified: fsf/trunk/libc/ChangeLog
==============================================================================
--- fsf/trunk/libc/ChangeLog (original)
+++ fsf/trunk/libc/ChangeLog Tue Apr 10 00:02:05 2012
@@ -1,3 +1,65 @@
+2012-04-09 Joseph Myers <joseph@xxxxxxxxxxxxxxxx>
+
+ [BZ #13872]
+ * sysdeps/i386/fpu/e_powl.S (p78): New object.
+ (__ieee754_powl): Saturate large exponents rather than testing for
+ overflow of y*log2(x).
+ * sysdeps/x86_64/fpu/e_powl.S: Likewise.
+ * math/libm-test.inc (pow_test): Do not permit spurious overflow
+ exceptions.
+
+ [BZ #11521]
+ * math/s_ctan.c: Include <float.h>.
+ (__ctan): Avoid internal overflow or cancellation in calculating
+ denominator.
+ * math/s_ctanf.c: Likewise.
+ * math/s_ctanl.c: Likewise.
+ * math/s_ctanh.c: Likewise.
+ * math/s_ctanhf.c: Likewise.
+ * math/s_ctanhl.c: Likewise.
+ * math/libm-test.inc (ctan_test): Add more tests.
+ (ctanh_test): Likewise.
+ * sysdeps/i386/fpu/libm-test-ulps: Update.
+ * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
+
+2012-04-09 Andreas Jaeger <aj@xxxxxxx>
+
+ [BZ #6894]
+ * manual/filesys.texi (Directory Entries): Mention that d_namlen
+ is an optional BSD extension.
+
+ [BZ #10254]
+ * manual/stdio.texi (Opening Streams): Document additional fopen
+ parameters.
+
+2012-04-09 Roland McGrath <roland@xxxxxxxxxxxxx>
+
+ * sysdeps/i386/fpu/bits/mathinline.h (__sincos_code): Don't clobber
+ %eax without telling the compiler.
+
+2012-04-09 Carlos O'Donell <carlos_odonell@xxxxxxxxxx>
+
+ [BZ # 13963]
+ * manual/install.texi: Use sourceware.org.
+
+2012-04-09 Joseph Myers <joseph@xxxxxxxxxxxxxxxx>
+
+ [BZ #13873]
+ * sysdeps/ieee754/dbl-64/e_pow.c (huge, tiny): New variables.
+ (__ieee754_pow): Generate overflow and underflow using huge*huge
+ and tiny*tiny rather than just returning constant infinity or zero
+ for large exponents.
+ * math/libm-test.inc (pow_test): Require overflow exceptions for
+ applicable cases of large exponents.
+
+ [BZ #706]
+ * sysdeps/i386/fpu/e_pow.S (p10): New object.
+ (__ieee754_pow): Use iterative multiplication algorithm only for
+ integer exponents with absolute value below 1024. Check for odd
+ integer exponents when using algorithm for real exponents.
+ * math/libm-test.inc (pow_test): Add more tests.
+ * sysdeps/x86_64/fpu/libm-test-ulps: Update.
+
2012-04-08 Joseph Myers <joseph@xxxxxxxxxxxxxxxx>
[BZ #13705]
Modified: fsf/trunk/libc/NEWS
==============================================================================
--- fsf/trunk/libc/NEWS (original)
+++ fsf/trunk/libc/NEWS Tue Apr 10 00:02:05 2012
@@ -9,18 +9,19 @@
* The following bugs are resolved with this release:
- 174, 350, 369, 411, 2541, 2547, 2548, 2551, 2552, 2553, 2554, 2562, 2563,
- 2565, 2566, 2576, 2678, 3335, 3866, 3868, 3976, 3992, 4026, 4108, 4596,
- 4822, 5077, 5461, 5805, 5993, 6471, 6486, 6578, 6649, 6730, 6770, 6884,
- 6890, 6895, 6907, 6911, 9739, 9902, 10110, 10135, 10140, 10153, 10210,
- 10346, 10545, 10716, 11174, 11322, 11365, 11451, 11494, 12047, 12340,
- 13058, 13525, 13526, 13527, 13528, 13529, 13530, 13531, 13532, 13533,
- 13547, 13551, 13552, 13553, 13555, 13559, 13566, 13583, 13592, 13618,
- 13637, 13656, 13658, 13673, 13691, 13695, 13704, 13705, 13706, 13726,
- 13738, 13760, 13761, 13786, 13792, 13806, 13824, 13840, 13841, 13844,
- 13846, 13851, 13852, 13854, 13871, 13879, 13883, 13892, 13895, 13908,
- 13910, 13911, 13912, 13913, 13915, 13916, 13917, 13918, 13919, 13920,
- 13921, 13926, 13928, 13938
+ 174, 350, 369, 411, 706, 2541, 2547, 2548, 2551, 2552, 2553, 2554, 2562,
+ 2563, 2565, 2566, 2576, 2678, 3335, 3866, 3868, 3976, 3992, 4026, 4108,
+ 4596, 4822, 5077, 5461, 5805, 5993, 6471, 6486, 6578, 6649, 6730, 6770,
+ 6884, 6890, 6894, 6895, 6907, 6911, 9739, 9902, 10110, 10135, 10140,
+ 10153, 10210, 10254, 10346, 10545, 10716, 11174, 11322, 11365, 11451,
+ 11494, 11521, 12047, 12340, 13058, 13525, 13526, 13527, 13528, 13529,
+ 13530, 13531, 13532, 13533, 13547, 13551, 13552, 13553, 13555, 13559,
+ 13566, 13583, 13592, 13618, 13637, 13656, 13658, 13673, 13691, 13695,
+ 13704, 13705, 13706, 13726, 13738, 13760, 13761, 13786, 13792, 13806,
+ 13824, 13840, 13841, 13844, 13846, 13851, 13852, 13854, 13871, 13872,
+ 13873, 13879, 13883, 13892, 13895, 13908, 13910, 13911, 13912, 13913,
+ 13915, 13916, 13917, 13918, 13919, 13920, 13921, 13926, 13928, 13938,
+ 13963
* ISO C11 support:
Modified: fsf/trunk/libc/manual/filesys.texi
==============================================================================
--- fsf/trunk/libc/manual/filesys.texi (original)
+++ fsf/trunk/libc/manual/filesys.texi Tue Apr 10 00:02:05 2012
@@ -247,9 +247,11 @@
@code{stat} will return for the file. @xref{File Attributes}.
@item unsigned char d_namlen
-This is the length of the file name, not including the terminating null
-character. Its type is @code{unsigned char} because that is the integer
-type of the appropriate size
+This is the length of the file name, not including the terminating
+null character. Its type is @code{unsigned char} because that is the
+integer type of the appropriate size. This member is a BSD extension.
+The symbol @code{_DIRENT_HAVE_D_NAMLEN} is defined if this member is
+available.
@item unsigned char d_type
This is the type of the file, possibly unknown. The following constants
Modified: fsf/trunk/libc/manual/install.texi
==============================================================================
--- fsf/trunk/libc/manual/install.texi (original)
+++ fsf/trunk/libc/manual/install.texi Tue Apr 10 00:02:05 2012
@@ -447,7 +447,7 @@
reported. Bugs are documented in two places: The file @file{BUGS}
describes a number of well known bugs and the bug tracking system has a
WWW interface at
-@url{http://sources.redhat.com/bugzilla/}. The WWW
+@url{http://sourceware.org/bugzilla/}. The WWW
interface gives you access to open and closed reports. A closed report
normally includes a patch or a hint on solving the problem.
Modified: fsf/trunk/libc/manual/stdio.texi
==============================================================================
--- fsf/trunk/libc/manual/stdio.texi (original)
+++ fsf/trunk/libc/manual/stdio.texi Tue Apr 10 00:02:05 2012
@@ -196,13 +196,31 @@
call. Always put the mode (@samp{r}, @samp{w+}, etc.) first; that is
the only part you are guaranteed will be understood by all systems.
-@Theglibc{} defines one additional character for use in
-@var{opentype}: the character @samp{x} insists on creating a new
-file---if a file @var{filename} already exists, @code{fopen} fails
-rather than opening it. If you use @samp{x} you are guaranteed that
-you will not clobber an existing file. This is equivalent to the
-@code{O_EXCL} option to the @code{open} function (@pxref{Opening and
-Closing Files}).
+@Theglibc{} defines additional characters for use in @var{opentype}:
+
+@table @samp
+@item c
+The file is opened with cancellation in the I/O functions disabled.
+
+@item e
+The underlying file descriptor will be closed if you use any of the
+@code{exec@dots{}} functions (@pxref{Executing a File}). (This is
+equivalent to having set @code{FD_CLOEXEC} on that descriptor.
+@xref{Descriptor Flags}.)
+
+@item m
+The file is opened and accessed using @code{mmap}. This is only
+supported with files opened for reading.
+
+@item x
+Insist on creating a new file---if a file @var{filename} already
+exists, @code{fopen} fails rather than opening it. If you use
+@samp{x} you are guaranteed that you will not clobber an existing
+file. This is equivalent to the @code{O_EXCL} option to the
+@code{open} function (@pxref{Opening and Closing Files}).
+
+The @samp{x} modifier is part of @w{ISO C11}.
+@end table
The character @samp{b} in @var{opentype} has a standard meaning; it
requests a binary stream rather than a text stream. But this makes no
Modified: fsf/trunk/libc/math/libm-test.inc
==============================================================================
--- fsf/trunk/libc/math/libm-test.inc (original)
+++ fsf/trunk/libc/math/libm-test.inc Tue Apr 10 00:02:05 2012
@@ -2840,6 +2840,36 @@
TEST_c_c (ctan, 0.75L, 1.25L, 0.160807785916206426725166058173438663L, 0.975363285031235646193581759755216379L);
TEST_c_c (ctan, -2, -3, 0.376402564150424829275122113032269084e-2L, -1.00323862735360980144635859782192726L);
+ TEST_c_c (ctan, 1, 45, 1.490158918874345552942703234806348520895e-39L, 1.000000000000000000000000000000000000001L);
+ TEST_c_c (ctan, 1, 47, 2.729321264492904590777293425576722354636e-41L, 1.0);
+
+#ifndef TEST_FLOAT
+ TEST_c_c (ctan, 1, 355, 8.140551093483276762350406321792653551513e-309L, 1.0);
+ TEST_c_c (ctan, 1, 365, 1.677892637497921890115075995898773550884e-317L, 1.0);
+#endif
+
+#if defined TEST_LDOUBLE && LDBL_MAX_EXP >= 16384
+ TEST_c_c (ctan, 1, 5680, 4.725214596136812019616700920476949798307e-4934L, 1.0);
+ TEST_c_c (ctan, 1, 5690, 9.739393181626937151720816611272607059057e-4943L, 1.0);
+#endif
+
+ TEST_c_c (ctan, 0x3.243f6cp-1, 0, -2.287733242885645987394874673945769518150e7L, 0.0);
+
+ TEST_c_c (ctan, 0x1p127, 1, 0.2446359391192790896381501310437708987204L, 0.9101334047676183761532873794426475906201L);
+
+#ifndef TEST_FLOAT
+ TEST_c_c (ctan, 0x1p1023, 1, -0.2254627924997545057926782581695274244229L, 0.8786063118883068695462540226219865087189L);
+#endif
+
+#if defined TEST_LDOUBLE && LDBL_MAX_EXP >= 16384
+ TEST_c_c (ctan, 0x1p16383L, 1, 0.1608598776370396607204448234354670036772L, 0.8133818522051542536316746743877629761488L);
+#endif
+
+ TEST_c_c (ctan, 50000, 50000, plus_zero, 1.0);
+ TEST_c_c (ctan, 50000, -50000, plus_zero, -1.0);
+ TEST_c_c (ctan, -50000, 50000, minus_zero, 1.0);
+ TEST_c_c (ctan, -50000, -50000, minus_zero, -1.0);
+
END (ctan, complex);
}
@@ -2898,6 +2928,36 @@
TEST_c_c (ctanh, 0.75L, 1.25L, 1.37260757053378320258048606571226857L, 0.385795952609750664177596760720790220L);
TEST_c_c (ctanh, -2, -3, -0.965385879022133124278480269394560686L, 0.988437503832249372031403430350121098e-2L);
+
+ TEST_c_c (ctanh, 45, 1, 1.000000000000000000000000000000000000001L, 1.490158918874345552942703234806348520895e-39L);
+ TEST_c_c (ctanh, 47, 1, 1.0, 2.729321264492904590777293425576722354636e-41L);
+
+#ifndef TEST_FLOAT
+ TEST_c_c (ctanh, 355, 1, 1.0, 8.140551093483276762350406321792653551513e-309L);
+ TEST_c_c (ctanh, 365, 1, 1.0, 1.677892637497921890115075995898773550884e-317L);
+#endif
+
+#if defined TEST_LDOUBLE && LDBL_MAX_EXP >= 16384
+ TEST_c_c (ctanh, 5680, 1, 1.0, 4.725214596136812019616700920476949798307e-4934L);
+ TEST_c_c (ctanh, 5690, 1, 1.0, 9.739393181626937151720816611272607059057e-4943L);
+#endif
+
+ TEST_c_c (ctanh, 0, 0x3.243f6cp-1, 0.0, -2.287733242885645987394874673945769518150e7L);
+
+ TEST_c_c (ctanh, 1, 0x1p127, 0.9101334047676183761532873794426475906201L, 0.2446359391192790896381501310437708987204L);
+
+#ifndef TEST_FLOAT
+ TEST_c_c (ctanh, 1, 0x1p1023, 0.8786063118883068695462540226219865087189L, -0.2254627924997545057926782581695274244229L);
+#endif
+
+#if defined TEST_LDOUBLE && LDBL_MAX_EXP >= 16384
+ TEST_c_c (ctanh, 1, 0x1p16383L, 0.8133818522051542536316746743877629761488L, 0.1608598776370396607204448234354670036772L);
+#endif
+
+ TEST_c_c (ctanh, 50000, 50000, 1.0, plus_zero);
+ TEST_c_c (ctanh, 50000, -50000, 1.0, minus_zero);
+ TEST_c_c (ctanh, -50000, 50000, -1.0, plus_zero);
+ TEST_c_c (ctanh, -50000, -50000, -1.0, minus_zero);
END (ctanh, complex);
}
@@ -5621,10 +5681,8 @@
TEST_ff_f (pow, 0x1p72L, 0x1p72L, plus_infty, OVERFLOW_EXCEPTION);
TEST_ff_f (pow, 10, -0x1p72L, 0);
- /* Bug 13873: OVERFLOW exception may be missing. */
- TEST_ff_f (pow, max_value, max_value, plus_infty, OVERFLOW_EXCEPTION_OK);
- /* Bug 13872: spurious OVERFLOW exception may be present. */
- TEST_ff_f (pow, 10, -max_value, 0, OVERFLOW_EXCEPTION_OK);
+ TEST_ff_f (pow, max_value, max_value, plus_infty, OVERFLOW_EXCEPTION);
+ TEST_ff_f (pow, 10, -max_value, 0);
TEST_ff_f (pow, 0, 1, 0);
TEST_ff_f (pow, 0, 11, 0);
@@ -5908,8 +5966,7 @@
TEST_ff_f (pow, -2.0, 0x1.ffffffffffffffffffffffffffffp+113L, plus_infty, OVERFLOW_EXCEPTION);
# endif
#endif
- /* Bug 13873: OVERFLOW exception may be missing. */
- TEST_ff_f (pow, -2.0, max_value, plus_infty, OVERFLOW_EXCEPTION_OK);
+ TEST_ff_f (pow, -2.0, max_value, plus_infty, OVERFLOW_EXCEPTION);
TEST_ff_f (pow, -max_value, 0.5, nan_value, INVALID_EXCEPTION);
TEST_ff_f (pow, -max_value, 1.5, nan_value, INVALID_EXCEPTION);
@@ -5939,8 +5996,7 @@
TEST_ff_f (pow, -max_value, -0x1.ffffffffffffffffffffffffffffp+113L, plus_zero);
# endif
#endif
- /* Bug 13872: spurious OVERFLOW exception may be present. */
- TEST_ff_f (pow, -max_value, -max_value, plus_zero, OVERFLOW_EXCEPTION_OK);
+ TEST_ff_f (pow, -max_value, -max_value, plus_zero);
TEST_ff_f (pow, -max_value, 0xffffff, minus_infty, OVERFLOW_EXCEPTION);
TEST_ff_f (pow, -max_value, 0x1fffffe, plus_infty, OVERFLOW_EXCEPTION);
@@ -5962,8 +6018,7 @@
TEST_ff_f (pow, -max_value, 0x1.ffffffffffffffffffffffffffffp+113L, plus_infty, OVERFLOW_EXCEPTION);
# endif
#endif
- /* Bug 13873: OVERFLOW exception may be missing. */
- TEST_ff_f (pow, -max_value, max_value, plus_infty, OVERFLOW_EXCEPTION_OK);
+ TEST_ff_f (pow, -max_value, max_value, plus_infty, OVERFLOW_EXCEPTION);
TEST_ff_f (pow, -0.5, 126, 0x1p-126);
TEST_ff_f (pow, -0.5, 127, -0x1p-127);
@@ -5990,8 +6045,7 @@
TEST_ff_f (pow, -0.5, -0x1.ffffffffffffffffffffffffffffp+113L, plus_infty, OVERFLOW_EXCEPTION);
# endif
#endif
- /* Bug 13873: OVERFLOW exception may be missing. */
- TEST_ff_f (pow, -0.5, -max_value, plus_infty, OVERFLOW_EXCEPTION_OK);
+ TEST_ff_f (pow, -0.5, -max_value, plus_infty, OVERFLOW_EXCEPTION);
TEST_ff_f (pow, -0.5, 0xffffff, minus_zero);
TEST_ff_f (pow, -0.5, 0x1fffffe, plus_zero);
@@ -6044,8 +6098,7 @@
TEST_ff_f (pow, -min_value, -0x1.ffffffffffffffffffffffffffffp+113L, plus_infty, OVERFLOW_EXCEPTION);
# endif
#endif
- /* Bug 13873: OVERFLOW exception may be missing. */
- TEST_ff_f (pow, -min_value, -max_value, plus_infty, OVERFLOW_EXCEPTION_OK);
+ TEST_ff_f (pow, -min_value, -max_value, plus_infty, OVERFLOW_EXCEPTION);
TEST_ff_f (pow, -min_value, 0xffffff, minus_zero);
TEST_ff_f (pow, -min_value, 0x1fffffe, plus_zero);
@@ -6067,8 +6120,33 @@
TEST_ff_f (pow, -min_value, 0x1.ffffffffffffffffffffffffffffp+113L, plus_zero);
# endif
#endif
- /* Bug 13872: spurious OVERFLOW exception may be present. */
- TEST_ff_f (pow, -min_value, max_value, plus_zero, OVERFLOW_EXCEPTION_OK);
+ TEST_ff_f (pow, -min_value, max_value, plus_zero);
+
+#ifndef TEST_LDOUBLE /* Bug 13881. */
+ TEST_ff_f (pow, 0x0.ffffffp0, 10, 0.999999403953712118183885036774764444747L);
+ TEST_ff_f (pow, 0x0.ffffffp0, 100, 0.999994039553108359406305079606228341585L);
+ TEST_ff_f (pow, 0x0.ffffffp0, 1000, 0.9999403971297699052276650144650733772182L);
+ TEST_ff_f (pow, 0x0.ffffffp0, 0x1p24, 0.3678794302077803437135155590023422899744L);
+ TEST_ff_f (pow, 0x0.ffffffp0, 0x1p30, 1.603807831524924233828134753069728224044e-28L);
+ TEST_ff_f (pow, 0x0.ffffffp0, 0x1.234566p30, 2.374884712135295099971443365381007297732e-32L);
+ TEST_ff_f (pow, 0x0.ffffffp0, -10, 1.000000596046643153205170848674671339688L);
+ TEST_ff_f (pow, 0x0.ffffffp0, -100, 1.000005960482418779499387594989252621451L);
+ TEST_ff_f (pow, 0x0.ffffffp0, -1000, 1.000059606422943986382898964231519867906L);
+ TEST_ff_f (pow, 0x0.ffffffp0, -0x1p24, 2.7182819094701610539628664526874952929416L);
+ TEST_ff_f (pow, 0x0.ffffffp0, -0x1p30, 6.2351609734265057988914412331288163636075e+27L);
+ TEST_ff_f (pow, 0x0.ffffffp0, -0x1.234566p30, 4.2107307141696353498921307077142537353515e+31L);
+ TEST_ff_f (pow, 0x1.000002p0, 0x1p24, 7.3890552180866447284268641248075832310141L);
+ TEST_ff_f (pow, 0x1.000002p0, 0x1.234566p29, 4.2107033006507495188536371520637025716256e+31L);
+ TEST_ff_f (pow, 0x1.000002p0, -0x1.234566p29, 2.3749001736727769098946062325205705312166e-32L);
+#endif
+
+ /* Bug 13881: powl inaccurate so these tests disabled for long double. */
+#if !defined TEST_FLOAT && !defined TEST_LDOUBLE
+ TEST_ff_f (pow, 0x0.fffffffffffff8p0L, 0x1.23456789abcdfp62L, 1.0118762747827252817436395051178295138220e-253L);
+ TEST_ff_f (pow, 0x0.fffffffffffff8p0L, -0x1.23456789abcdfp62L, 9.8826311568054561811190162420900667121992e+252L);
+ TEST_ff_f (pow, 0x1.0000000000001p0L, 0x1.23456789abcdfp61L, 9.8826311568044974397135026217687399395481e+252L);
+ TEST_ff_f (pow, 0x1.0000000000001p0L, -0x1.23456789abcdfp61L, 1.0118762747828234466621210689458255908670e-253L);
+#endif
END (pow);
}
Modified: fsf/trunk/libc/math/s_ctan.c
==============================================================================
--- fsf/trunk/libc/math/s_ctan.c (original)
+++ fsf/trunk/libc/math/s_ctan.c Tue Apr 10 00:02:05 2012
@@ -1,5 +1,5 @@
/* Complex tangent function for double.
- Copyright (C) 1997, 2005, 2011 Free Software Foundation, Inc.
+ Copyright (C) 1997-2012 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@xxxxxxxxxx>, 1997.
@@ -20,9 +20,8 @@
#include <complex.h>
#include <fenv.h>
#include <math.h>
-
#include <math_private.h>
-
+#include <float.h>
__complex__ double
__ctan (__complex__ double x)
@@ -51,24 +50,45 @@
}
else
{
- double sin2rx, cos2rx;
+ double sinrx, cosrx;
double den;
+ const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2 / 2);
- __sincos (2.0 * __real__ x, &sin2rx, &cos2rx);
+ /* tan(x+iy) = (sin(2x) + i*sinh(2y))/(cos(2x) + cosh(2y))
+ = (sin(x)*cos(x) + i*sinh(y)*cosh(y)/(cos(x)^2 + sinh(y)^2). */
- den = cos2rx + __ieee754_cosh (2.0 * __imag__ x);
+ __sincos (__real__ x, &sinrx, &cosrx);
- if (den == 0.0)
+ if (fabs (__imag__ x) > t)
{
- __complex__ double ez = __cexp (1.0i * x);
- __complex__ double emz = __cexp (-1.0i * x);
+ /* Avoid intermediate overflow when the real part of the
+ result may be subnormal. Ignoring negligible terms, the
+ imaginary part is +/- 1, the real part is
+ sin(x)*cos(x)/sinh(y)^2 = 4*sin(x)*cos(x)/exp(2y). */
+ double exp_2t = __ieee754_exp (2 * t);
- res = (ez - emz) / (ez + emz) * -1.0i;
+ __imag__ res = __copysign (1.0, __imag__ x);
+ __real__ res = 4 * sinrx * cosrx;
+ __imag__ x = fabs (__imag__ x);
+ __imag__ x -= t;
+ __real__ res /= exp_2t;
+ if (__imag__ x > t)
+ {
+ /* Underflow (original imaginary part of x has absolute
+ value > 2t). */
+ __real__ res /= exp_2t;
+ }
+ else
+ __real__ res /= __ieee754_exp (2 * __imag__ x);
}
else
{
- __real__ res = sin2rx / den;
- __imag__ res = __ieee754_sinh (2.0 * __imag__ x) / den;
+ double sinhix = __ieee754_sinh (__imag__ x);
+ double coshix = __ieee754_cosh (__imag__ x);
+
+ den = cosrx * cosrx + sinhix * sinhix;
+ __real__ res = sinrx * cosrx / den;
+ __imag__ res = sinhix * coshix / den;
}
}
Modified: fsf/trunk/libc/math/s_ctanf.c
==============================================================================
--- fsf/trunk/libc/math/s_ctanf.c (original)
+++ fsf/trunk/libc/math/s_ctanf.c Tue Apr 10 00:02:05 2012
@@ -1,5 +1,5 @@
/* Complex tangent function for float.
- Copyright (C) 1997, 2005, 2011 Free Software Foundation, Inc.
+ Copyright (C) 1997-2012 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@xxxxxxxxxx>, 1997.
@@ -21,7 +21,7 @@
#include <fenv.h>
#include <math.h>
#include <math_private.h>
-
+#include <float.h>
__complex__ float
__ctanf (__complex__ float x)
@@ -50,25 +50,45 @@
}
else
{
- float sin2rx, cos2rx;
+ float sinrx, cosrx;
float den;
+ const int t = (int) ((FLT_MAX_EXP - 1) * M_LN2 / 2);
- __sincosf (2.0 * __real__ x, &sin2rx, &cos2rx);
+ /* tan(x+iy) = (sin(2x) + i*sinh(2y))/(cos(2x) + cosh(2y))
+ = (sin(x)*cos(x) + i*sinh(y)*cosh(y)/(cos(x)^2 + sinh(y)^2). */
- den = cos2rx + __ieee754_coshf (2.0 * __imag__ x);
+ __sincosf (__real__ x, &sinrx, &cosrx);
+ if (fabsf (__imag__ x) > t)
+ {
+ /* Avoid intermediate overflow when the real part of the
+ result may be subnormal. Ignoring negligible terms, the
+ imaginary part is +/- 1, the real part is
+ sin(x)*cos(x)/sinh(y)^2 = 4*sin(x)*cos(x)/exp(2y). */
+ float exp_2t = __ieee754_expf (2 * t);
- if (den == 0.0)
- {
- __complex__ float ez = __cexpf (1.0i * x);
- __complex__ float emz = __cexpf (-1.0i * x);
-
- res = (ez - emz) / (ez + emz) * -1.0i;
+ __imag__ res = __copysignf (1.0, __imag__ x);
+ __real__ res = 4 * sinrx * cosrx;
+ __imag__ x = fabsf (__imag__ x);
+ __imag__ x -= t;
+ __real__ res /= exp_2t;
+ if (__imag__ x > t)
+ {
+ /* Underflow (original imaginary part of x has absolute
+ value > 2t). */
+ __real__ res /= exp_2t;
+ }
+ else
+ __real__ res /= __ieee754_expf (2 * __imag__ x);
}
else
{
- __real__ res = sin2rx / den;
- __imag__ res = __ieee754_sinhf (2.0 * __imag__ x) / den;
+ float sinhix = __ieee754_sinhf (__imag__ x);
+ float coshix = __ieee754_coshf (__imag__ x);
+
+ den = cosrx * cosrx + sinhix * sinhix;
+ __real__ res = sinrx * cosrx / den;
+ __imag__ res = sinhix * coshix / den;
}
}
Modified: fsf/trunk/libc/math/s_ctanh.c
==============================================================================
--- fsf/trunk/libc/math/s_ctanh.c (original)
+++ fsf/trunk/libc/math/s_ctanh.c Tue Apr 10 00:02:05 2012
@@ -1,5 +1,5 @@
/* Complex hyperbole tangent for double.
- Copyright (C) 1997, 2005, 2011 Free Software Foundation, Inc.
+ Copyright (C) 1997-2012 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@xxxxxxxxxx>, 1997.
@@ -21,7 +21,7 @@
#include <fenv.h>
#include <math.h>
#include <math_private.h>
-
+#include <float.h>
__complex__ double
__ctanh (__complex__ double x)
@@ -50,24 +50,45 @@
}
else
{
- double sin2ix, cos2ix;
+ double sinix, cosix;
double den;
+ const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2 / 2);
- __sincos (2.0 * __imag__ x, &sin2ix, &cos2ix);
+ /* tanh(x+iy) = (sinh(2x) + i*sin(2y))/(cosh(2x) + cos(2y))
+ = (sinh(x)*cosh(x) + i*sin(y)*cos(y))/(sinh(x)^2 + cos(y)^2). */
- den = (__ieee754_cosh (2.0 * __real__ x) + cos2ix);
+ __sincos (__imag__ x, &sinix, &cosix);
- if (den == 0.0)
+ if (fabs (__real__ x) > t)
{
- __complex__ double ez = __cexp (x);
- __complex__ double emz = __cexp (-x);
+ /* Avoid intermediate overflow when the imaginary part of
+ the result may be subnormal. Ignoring negligible terms,
+ the real part is +/- 1, the imaginary part is
+ sin(y)*cos(y)/sinh(x)^2 = 4*sin(y)*cos(y)/exp(2x). */
+ double exp_2t = __ieee754_exp (2 * t);
- res = (ez - emz) / (ez + emz);
+ __real__ res = __copysign (1.0, __real__ x);
+ __imag__ res = 4 * sinix * cosix;
+ __real__ x = fabs (__real__ x);
+ __real__ x -= t;
+ __imag__ res /= exp_2t;
+ if (__real__ x > t)
+ {
+ /* Underflow (original real part of x has absolute value
+ > 2t). */
+ __imag__ res /= exp_2t;
+ }
+ else
+ __imag__ res /= __ieee754_exp (2 * __real__ x);
}
else
{
- __real__ res = __ieee754_sinh (2.0 * __real__ x) / den;
- __imag__ res = sin2ix / den;
+ double sinhrx = __ieee754_sinh (__real__ x);
+ double coshrx = __ieee754_cosh (__real__ x);
+
+ den = sinhrx * sinhrx + cosix * cosix;
+ __real__ res = sinhrx * coshrx / den;
+ __imag__ res = sinix * cosix / den;
}
}
Modified: fsf/trunk/libc/math/s_ctanhf.c
==============================================================================
--- fsf/trunk/libc/math/s_ctanhf.c (original)
+++ fsf/trunk/libc/math/s_ctanhf.c Tue Apr 10 00:02:05 2012
@@ -1,5 +1,5 @@
/* Complex hyperbole tangent for float.
- Copyright (C) 1997, 2005, 2011 Free Software Foundation, Inc.
+ Copyright (C) 1997-2012 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@xxxxxxxxxx>, 1997.
@@ -21,7 +21,7 @@
#include <fenv.h>
#include <math.h>
#include <math_private.h>
-
+#include <float.h>
__complex__ float
__ctanhf (__complex__ float x)
@@ -50,24 +50,45 @@
}
else
{
- float sin2ix, cos2ix;
+ float sinix, cosix;
float den;
+ const int t = (int) ((FLT_MAX_EXP - 1) * M_LN2 / 2);
- __sincosf (2.0 * __imag__ x, &sin2ix, &cos2ix);
+ /* tanh(x+iy) = (sinh(2x) + i*sin(2y))/(cosh(2x) + cos(2y))
+ = (sinh(x)*cosh(x) + i*sin(y)*cos(y))/(sinh(x)^2 + cos(y)^2). */
- den = (__ieee754_coshf (2.0 * __real__ x) + cos2ix);
+ __sincosf (__imag__ x, &sinix, &cosix);
- if (den == 0.0f)
+ if (fabsf (__real__ x) > t)
{
- __complex__ float ez = __cexpf (x);
- __complex__ float emz = __cexpf (-x);
+ /* Avoid intermediate overflow when the imaginary part of
+ the result may be subnormal. Ignoring negligible terms,
+ the real part is +/- 1, the imaginary part is
+ sin(y)*cos(y)/sinh(x)^2 = 4*sin(y)*cos(y)/exp(2x). */
+ float exp_2t = __ieee754_expf (2 * t);
- res = (ez - emz) / (ez + emz);
+ __real__ res = __copysignf (1.0, __real__ x);
+ __imag__ res = 4 * sinix * cosix;
+ __real__ x = fabsf (__real__ x);
+ __real__ x -= t;
+ __imag__ res /= exp_2t;
+ if (__real__ x > t)
+ {
+ /* Underflow (original real part of x has absolute value
+ > 2t). */
+ __imag__ res /= exp_2t;
+ }
+ else
+ __imag__ res /= __ieee754_expf (2 * __real__ x);
}
else
{
- __real__ res = __ieee754_sinhf (2.0 * __real__ x) / den;
- __imag__ res = sin2ix / den;
+ float sinhrx = __ieee754_sinhf (__real__ x);
+ float coshrx = __ieee754_coshf (__real__ x);
+
+ den = sinhrx * sinhrx + cosix * cosix;
+ __real__ res = sinhrx * coshrx / den;
+ __imag__ res = sinix * cosix / den;
}
}
Modified: fsf/trunk/libc/math/s_ctanhl.c
==============================================================================
--- fsf/trunk/libc/math/s_ctanhl.c (original)
+++ fsf/trunk/libc/math/s_ctanhl.c Tue Apr 10 00:02:05 2012
@@ -1,5 +1,5 @@
/* Complex hyperbole tangent for long double.
- Copyright (C) 1997, 2005, 2011 Free Software Foundation, Inc.
+ Copyright (C) 1997-2012 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@xxxxxxxxxx>, 1997.
@@ -21,7 +21,7 @@
#include <fenv.h>
#include <math.h>
#include <math_private.h>
-
+#include <float.h>
__complex__ long double
__ctanhl (__complex__ long double x)
@@ -50,24 +50,45 @@
}
else
{
- long double sin2ix, cos2ix;
+ long double sinix, cosix;
long double den;
+ const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l / 2);
- __sincosl (2.0 * __imag__ x, &sin2ix, &cos2ix);
+ /* tanh(x+iy) = (sinh(2x) + i*sin(2y))/(cosh(2x) + cos(2y))
+ = (sinh(x)*cosh(x) + i*sin(y)*cos(y))/(sinh(x)^2 + cos(y)^2). */
- den = (__ieee754_coshl (2.0 * __real__ x) + cos2ix);
+ __sincosl (__imag__ x, &sinix, &cosix);
- if (den == 0.0L)
+ if (fabsl (__real__ x) > t)
{
- __complex__ long double ez = __cexpl (x);
- __complex__ long double emz = __cexpl (-x);
+ /* Avoid intermediate overflow when the imaginary part of
+ the result may be subnormal. Ignoring negligible terms,
+ the real part is +/- 1, the imaginary part is
+ sin(y)*cos(y)/sinh(x)^2 = 4*sin(y)*cos(y)/exp(2x). */
+ long double exp_2t = __ieee754_expl (2 * t);
- res = (ez - emz) / (ez + emz);
+ __real__ res = __copysignl (1.0, __real__ x);
+ __imag__ res = 4 * sinix * cosix;
+ __real__ x = fabsl (__real__ x);
+ __real__ x -= t;
+ __imag__ res /= exp_2t;
+ if (__real__ x > t)
+ {
+ /* Underflow (original real part of x has absolute value
+ > 2t). */
+ __imag__ res /= exp_2t;
+ }
+ else
+ __imag__ res /= __ieee754_expl (2 * __real__ x);
}
else
{
- __real__ res = __ieee754_sinhl (2.0 * __real__ x) / den;
- __imag__ res = sin2ix / den;
+ long double sinhrx = __ieee754_sinhl (__real__ x);
+ long double coshrx = __ieee754_coshl (__real__ x);
+
+ den = sinhrx * sinhrx + cosix * cosix;
+ __real__ res = sinhrx * coshrx / den;
+ __imag__ res = sinix * cosix / den;
}
}
Modified: fsf/trunk/libc/math/s_ctanl.c
==============================================================================
--- fsf/trunk/libc/math/s_ctanl.c (original)
+++ fsf/trunk/libc/math/s_ctanl.c Tue Apr 10 00:02:05 2012
@@ -1,5 +1,5 @@
/* Complex tangent function for long double.
- Copyright (C) 1997, 2005, 2011 Free Software Foundation, Inc.
+ Copyright (C) 1997-2012 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@xxxxxxxxxx>, 1997.
@@ -20,9 +20,8 @@
#include <complex.h>
#include <fenv.h>
#include <math.h>
-
#include <math_private.h>
-
+#include <float.h>
__complex__ long double
__ctanl (__complex__ long double x)
@@ -51,25 +50,45 @@
}
else
{
- long double sin2rx, cos2rx;
+ long double sinrx, cosrx;
long double den;
+ const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l / 2);
- __sincosl (2.0 * __real__ x, &sin2rx, &cos2rx);
+ /* tan(x+iy) = (sin(2x) + i*sinh(2y))/(cos(2x) + cosh(2y))
+ = (sin(x)*cos(x) + i*sinh(y)*cosh(y)/(cos(x)^2 + sinh(y)^2). */
- den = cos2rx + __ieee754_coshl (2.0 * __imag__ x);
+ __sincosl (__real__ x, &sinrx, &cosrx);
+ if (fabsl (__imag__ x) > t)
+ {
+ /* Avoid intermediate overflow when the real part of the
+ result may be subnormal. Ignoring negligible terms, the
+ imaginary part is +/- 1, the real part is
+ sin(x)*cos(x)/sinh(y)^2 = 4*sin(x)*cos(x)/exp(2y). */
+ long double exp_2t = __ieee754_expl (2 * t);
- if (den == 0.0)
- {
- __complex__ long double ez = __cexpl (1.0i * x);
- __complex__ long double emz = __cexpl (-1.0i * x);
-
- res = (ez - emz) / (ez + emz) * -1.0i;
+ __imag__ res = __copysignl (1.0, __imag__ x);
+ __real__ res = 4 * sinrx * cosrx;
+ __imag__ x = fabsl (__imag__ x);
+ __imag__ x -= t;
+ __real__ res /= exp_2t;
+ if (__imag__ x > t)
+ {
+ /* Underflow (original imaginary part of x has absolute
+ value > 2t). */
+ __real__ res /= exp_2t;
+ }
+ else
+ __real__ res /= __ieee754_expl (2 * __imag__ x);
}
else
{
- __real__ res = sin2rx / den;
- __imag__ res = __ieee754_sinhl (2.0 * __imag__ x) / den;
+ long double sinhix = __ieee754_sinhl (__imag__ x);
+ long double coshix = __ieee754_coshl (__imag__ x);
+
+ den = cosrx * cosrx + sinhix * sinhix;
+ __real__ res = sinrx * cosrx / den;
+ __imag__ res = sinhix * coshix / den;
}
}
Modified: fsf/trunk/libc/sysdeps/i386/fpu/bits/mathinline.h
==============================================================================
--- fsf/trunk/libc/sysdeps/i386/fpu/bits/mathinline.h (original)
+++ fsf/trunk/libc/sysdeps/i386/fpu/bits/mathinline.h Tue Apr 10 00:02:05 2012
@@ -1,6 +1,5 @@
/* Inline math functions for i387.
- Copyright (C) 1995,1996,1997,1998,1999,2000,2001,2003,2004,2006,2007,2009,
- 2010 Free Software Foundation, Inc.
+ Copyright (C) 1995-2012 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by John C. Bowman <bowman@xxxxxxxxxxxxxxxx>, 1995.
@@ -324,22 +323,23 @@
# define __sincos_code \
register long double __cosr; \
register long double __sinr; \
+ register unsigned int __swtmp; \
__asm __volatile__ \
("fsincos\n\t" \
- "fnstsw %%ax\n\t" \
- "testl $0x400, %%eax\n\t" \
+ "fnstsw %w2\n\t" \
+ "testl $0x400, %2\n\t" \
"jz 1f\n\t" \
"fldpi\n\t" \
"fadd %%st(0)\n\t" \
"fxch %%st(1)\n\t" \
"2: fprem1\n\t" \
- "fnstsw %%ax\n\t" \
- "testl $0x400, %%eax\n\t" \
+ "fnstsw %w2\n\t" \
+ "testl $0x400, %2\n\t" \
"jnz 2b\n\t" \
"fstp %%st(1)\n\t" \
"fsincos\n\t" \
"1:" \
- : "=t" (__cosr), "=u" (__sinr) : "0" (__x)); \
+ : "=t" (__cosr), "=u" (__sinr), "=a" (__swtmp) : "0" (__x)); \
*__sinx = __sinr; \
*__cosx = __cosr
Modified: fsf/trunk/libc/sysdeps/i386/fpu/e_pow.S
==============================================================================
--- fsf/trunk/libc/sysdeps/i386/fpu/e_pow.S (original)
+++ fsf/trunk/libc/sysdeps/i386/fpu/e_pow.S Tue Apr 10 00:02:05 2012
@@ -32,6 +32,9 @@
ASM_TYPE_DIRECTIVE(p63,@object)
p63: .byte 0, 0, 0, 0, 0, 0, 0xe0, 0x43
ASM_SIZE_DIRECTIVE(p63)
+ ASM_TYPE_DIRECTIVE(p10,@object)
+p10: .byte 0, 0, 0, 0, 0, 0, 0x90, 0x40
+ ASM_SIZE_DIRECTIVE(p10)
.section .rodata.cst16,"aM",@progbits,16
@@ -116,7 +119,15 @@
sahf
jne 3f
- /* OK, we have an integer value for y. */
+ /* OK, we have an integer value for y. If large enough that
+ errors may propagate out of the 11 bits excess precision, use
+ the algorithm for real exponent instead. */
+ fld %st // y : y : x
+ fabs // |y| : y : x
+ fcompl MO(p10) // y : x
+ fnstsw
+ sahf
+ jnc 2f
popl %eax
cfi_adjust_cfa_offset (-4)
popl %edx
@@ -157,7 +168,9 @@
cfi_adjust_cfa_offset (8)
.align ALIGNARG(4)
-2: /* y is a large integer (so even). */
+2: // y is a large integer (absolute value at least 1L<<10), but
+ // may be odd unless at least 1L<<64. So it may be necessary
+ // to adjust the sign of a negative result afterwards.
fxch // x : y
fabs // |x| : y
fxch // y : x
@@ -187,9 +200,41 @@
f2xm1 // 2^fract(y*log2(x))-1 : int(y*log2(x))
faddl MO(one) // 2^fract(y*log2(x)) : int(y*log2(x))
fscale // 2^fract(y*log2(x))*2^int(y*log2(x)) : int(y*log2(x))
- addl $8, %esp
+ fstp %st(1) // 2^fract(y*log2(x))*2^int(y*log2(x))
+ testb $2, %dh
+ jz 292f
+ // x is negative. If y is an odd integer, negate the result.
+ fldl 20(%esp) // y : abs(result)
+ fld %st // y : y : abs(result)
+ fabs // |y| : y : abs(result)
+ fcompl MO(p63) // y : abs(result)
+ fnstsw
+ sahf
+ jnc 291f
+
+ // We must find out whether y is an odd integer.
+ fld %st // y : y : abs(result)
+ fistpll (%esp) // y : abs(result)
+ fildll (%esp) // int(y) : y : abs(result)
+ fucompp // abs(result)
+ fnstsw
+ sahf
+ jne 292f
+
+ // OK, the value is an integer, but is it odd?
+ popl %eax
+ cfi_adjust_cfa_offset (-4)
+ popl %edx
+ cfi_adjust_cfa_offset (-4)
+ andb $1, %al
+ jz 290f // jump if not odd
+ // It's an odd integer.
+ fchs
+290: ret
+ cfi_adjust_cfa_offset (8)
+291: fstp %st(0) // abs(result)
+292: addl $8, %esp
cfi_adjust_cfa_offset (-8)
- fstp %st(1) // 2^fract(y*log2(x))*2^int(y*log2(x))
ret
Modified: fsf/trunk/libc/sysdeps/i386/fpu/e_powl.S
==============================================================================
--- fsf/trunk/libc/sysdeps/i386/fpu/e_powl.S (original)
+++ fsf/trunk/libc/sysdeps/i386/fpu/e_powl.S Tue Apr 10 00:02:05 2012
@@ -35,6 +35,9 @@
ASM_TYPE_DIRECTIVE(p64,@object)
p64: .byte 0, 0, 0, 0, 0, 0, 0xf0, 0x43
ASM_SIZE_DIRECTIVE(p64)
+ ASM_TYPE_DIRECTIVE(p78,@object)
+p78: .byte 0, 0, 0, 0, 0, 0, 0xd0, 0x44
+ ASM_SIZE_DIRECTIVE(p78)
.section .rodata.cst16,"aM",@progbits,16
@@ -166,6 +169,21 @@
fxch // x : y
fabs // |x| : y
fxch // y : |x|
+ // If y has absolute value at least 1L<<78, then any finite
+ // nonzero x will result in 0 (underflow), 1 or infinity (overflow).
+ // Saturate y to those bounds to avoid overflow in the calculation
+ // of y*log2(x).
+ fld %st // y : y : |x|
+ fabs // |y| : y : |x|
+ fcompl MO(p78) // y : |x|
+ fnstsw
+ sahf
+ jc 3f
+ fstp %st(0) // pop y
+ fldl MO(p78) // 1L<<78 : |x|
+ testb $2, %dl
+ jz 3f // y > 0
+ fchs // -(1L<<78) : |x|
.align ALIGNARG(4)
3: /* y is a real number. */
fxch // x : y
@@ -185,11 +203,6 @@
7: fyl2x // log2(x) : y
8: fmul %st(1) // y*log2(x) : y
- fxam
- fnstsw
- andb $0x45, %ah
- cmpb $0x05, %ah // is y*log2(x) == Âinf ?
- je 28f
fst %st(1) // y*log2(x) : y*log2(x)
frndint // int(y*log2(x)) : y*log2(x)
fsubr %st, %st(1) // int(y*log2(x)) : fract(y*log2(x))
@@ -198,13 +211,7 @@
faddl MO(one) // 2^fract(y*log2(x)) : int(y*log2(x))
fscale // 2^fract(y*log2(x))*2^int(y*log2(x)) : int(y*log2(x))
fstp %st(1) // 2^fract(y*log2(x))*2^int(y*log2(x))
- jmp 29f
-
-28: fstp %st(1) // y*log2(x)
- fldl MO(one) // 1 : y*log2(x)
- fscale // 2^(y*log2(x)) : y*log2(x)
- fstp %st(1) // 2^(y*log2(x))
-29: testb $2, %dh
+ testb $2, %dh
jz 292f
// x is negative. If y is an odd integer, negate the result.
fldt 24(%esp) // y : abs(result)
Modified: fsf/trunk/libc/sysdeps/i386/fpu/libm-test-ulps
==============================================================================
--- fsf/trunk/libc/sysdeps/i386/fpu/libm-test-ulps (original)
+++ fsf/trunk/libc/sysdeps/i386/fpu/libm-test-ulps Tue Apr 10 00:02:05 2012
@@ -1009,9 +1009,33 @@
ifloat: 1
ildouble: 3
ldouble: 3
+Test "Real part of: ctan (0x1p1023 + 1 i) == -0.2254627924997545057926782581695274244229 + 0.8786063118883068695462540226219865087189 i":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: ctan (0x1p1023 + 1 i) == -0.2254627924997545057926782581695274244229 + 0.8786063118883068695462540226219865087189 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: ctan (0x1p127 + 1 i) == 0.2446359391192790896381501310437708987204 + 0.9101334047676183761532873794426475906201 i":
+float: 1
+ifloat: 1
+Test "Real part of: ctan (0x3.243f6cp-1 + 0 i) == -2.287733242885645987394874673945769518150e7 + 0.0 i":
+float: 1
+ifloat: 1
+Test "Real part of: ctan (1 + 45 i) == 1.490158918874345552942703234806348520895e-39 + 1.000000000000000000000000000000000000001 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: ctan (1 + 47 i) == 2.729321264492904590777293425576722354636e-41 + 1.0 i":
+double: 1
+idouble: 1
+ildouble: 2
+ldouble: 2
# ctanh
Test "Real part of: ctanh (-2 - 3 i) == -0.965385879022133124278480269394560686 + 0.988437503832249372031403430350121098e-2 i":
+float: 1
+ifloat: 1
ildouble: 3
ldouble: 3
Test "Imaginary part of: ctanh (-2 - 3 i) == -0.965385879022133124278480269394560686 + 0.988437503832249372031403430350121098e-2 i":
@@ -1019,9 +1043,14 @@
ifloat: 1
ildouble: 1
ldouble: 1
+Test "Imaginary part of: ctanh (0 + 0x3.243f6cp-1 i) == 0.0 - 2.287733242885645987394874673945769518150e7 i":
+float: 1
+ifloat: 1
Test "Imaginary part of: ctanh (0 + pi/4 i) == 0.0 + 1.0 i":
float: 1
ifloat: 1
+ildouble: 1
+ldouble: 1
Test "Real part of: ctanh (0.75 + 1.25 i) == 1.37260757053378320258048606571226857 + 0.385795952609750664177596760720790220 i":
double: 1
float: 1
@@ -1034,6 +1063,25 @@
ifloat: 1
ildouble: 1
ldouble: 1
+Test "Real part of: ctanh (1 + 0x1p1023 i) == 0.8786063118883068695462540226219865087189 - 0.2254627924997545057926782581695274244229 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: ctanh (1 + 0x1p1023 i) == 0.8786063118883068695462540226219865087189 - 0.2254627924997545057926782581695274244229 i":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: ctanh (1 + 0x1p127 i) == 0.9101334047676183761532873794426475906201 + 0.2446359391192790896381501310437708987204 i":
+float: 1
+ifloat: 1
+Test "Imaginary part of: ctanh (45 + 1 i) == 1.000000000000000000000000000000000000001 + 1.490158918874345552942703234806348520895e-39 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: ctanh (47 + 1 i) == 1.0 + 2.729321264492904590777293425576722354636e-41 i":
+double: 1
+idouble: 1
+ildouble: 2
+ldouble: 2
# erf
Test "erf (1.25) == 0.922900128256458230136523481197281140":
@@ -2342,33 +2390,35 @@
Function: Real part of "ctan":
double: 1
-idouble: 1
-ildouble: 1
-ldouble: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
Function: Imaginary part of "ctan":
double: 1
float: 1
idouble: 1
ifloat: 1
-ildouble: 3
-ldouble: 3
+ildouble: 1
+ldouble: 1
Function: Real part of "ctanh":
double: 1
float: 1
idouble: 1
ifloat: 1
-ildouble: 3
-ldouble: 3
+ildouble: 1
+ldouble: 1
Function: Imaginary part of "ctanh":
double: 1
float: 1
idouble: 1
ifloat: 1
-ildouble: 1
-ldouble: 1
+ildouble: 2
+ldouble: 2
Function: "erf":
double: 1
Modified: fsf/trunk/libc/sysdeps/ieee754/dbl-64/e_pow.c
==============================================================================
--- fsf/trunk/libc/sysdeps/ieee754/dbl-64/e_pow.c (original)
+++ fsf/trunk/libc/sysdeps/ieee754/dbl-64/e_pow.c Tue Apr 10 00:02:05 2012
@@ -47,6 +47,7 @@
# define SECTION
#endif
+static const double huge = 1.0e300, tiny = 1.0e-300;
double __exp1(double x, double xx, double error);
static double log1(double x, double *delta, double *error);
@@ -156,8 +157,8 @@
if (qy > 0x45f00000 && qy < 0x7ff00000) {
if (x == 1.0) return 1.0;
- if (y>0) return (x>1.0)?INF.x:0;
- if (y<0) return (x<1.0)?INF.x:0;
+ if (y>0) return (x>1.0)?huge*huge:tiny*tiny;
+ if (y<0) return (x<1.0)?huge*huge:tiny*tiny;
}
if (x == 1.0) return 1.0;
Modified: fsf/trunk/libc/sysdeps/x86_64/fpu/e_powl.S
==============================================================================
--- fsf/trunk/libc/sysdeps/x86_64/fpu/e_powl.S (original)
+++ fsf/trunk/libc/sysdeps/x86_64/fpu/e_powl.S Tue Apr 10 00:02:05 2012
@@ -35,6 +35,9 @@
ASM_TYPE_DIRECTIVE(p64,@object)
p64: .byte 0, 0, 0, 0, 0, 0, 0xf0, 0x43
ASM_SIZE_DIRECTIVE(p64)
+ ASM_TYPE_DIRECTIVE(p78,@object)
+p78: .byte 0, 0, 0, 0, 0, 0, 0xd0, 0x44
+ ASM_SIZE_DIRECTIVE(p78)
.section .rodata.cst16,"aM",@progbits,16
@@ -151,6 +154,21 @@
fxch // x : y
fabs // |x| : y
fxch // y : |x|
+ // If y has absolute value at least 1L<<78, then any finite
+ // nonzero x will result in 0 (underflow), 1 or infinity (overflow).
+ // Saturate y to those bounds to avoid overflow in the calculation
+ // of y*log2(x).
+ fldl MO(p78) // 1L<<78 : y : |x|
+ fld %st(1) // y : 1L<<78 : y : |x|
+ fabs // |y| : 1L<<78 : y : |x|
+ fcomip %st(1), %st // 1L<<78 : y : |x|
+ fstp %st(0) // y : |x|
+ jc 3f
+ fstp %st(0) // pop y
+ fldl MO(p78) // 1L<<78 : |x|
+ testb $2, %dl
+ jz 3f // y > 0
+ fchs // -(1L<<78) : |x|
.align ALIGNARG(4)
3: /* y is a real number. */
fxch // x : y
@@ -170,11 +188,6 @@
7: fyl2x // log2(x) : y
8: fmul %st(1) // y*log2(x) : y
- fxam
- fnstsw
- andb $0x45, %ah
- cmpb $0x05, %ah // is y*log2(x) == Âinf ?
- je 28f
fst %st(1) // y*log2(x) : y*log2(x)
frndint // int(y*log2(x)) : y*log2(x)
fsubr %st, %st(1) // int(y*log2(x)) : fract(y*log2(x))
@@ -183,13 +196,7 @@
faddl MO(one) // 2^fract(y*log2(x)) : int(y*log2(x))
fscale // 2^fract(y*log2(x))*2^int(y*log2(x)) : int(y*log2(x))
fstp %st(1) // 2^fract(y*log2(x))*2^int(y*log2(x))
- jmp 29f
-
-28: fstp %st(1) // y*log2(x)
- fldl MO(one) // 1 : y*log2(x)
- fscale // 2^(y*log2(x)) : y*log2(x)
- fstp %st(1) // 2^(y*log2(x))
-29: testb $2, %dh
+ testb $2, %dh
jz 292f
// x is negative. If y is an odd integer, negate the result.
fldt 24(%rsp) // y : abs(result)
Modified: fsf/trunk/libc/sysdeps/x86_64/fpu/libm-test-ulps
==============================================================================
--- fsf/trunk/libc/sysdeps/x86_64/fpu/libm-test-ulps (original)
+++ fsf/trunk/libc/sysdeps/x86_64/fpu/libm-test-ulps Tue Apr 10 00:02:05 2012
@@ -1011,11 +1011,15 @@
# ctan
Test "Real part of: ctan (-2 - 3 i) == 0.376402564150424829275122113032269084e-2 - 1.00323862735360980144635859782192726 i":
double: 1
-idouble: 1
+float: 1
+idouble: 1
+ifloat: 1
ildouble: 1
ldouble: 1
Test "Imaginary part of: ctan (-2 - 3 i) == 0.376402564150424829275122113032269084e-2 - 1.00323862735360980144635859782192726 i":
-float: 1
+double: 1
+float: 1
+idouble: 1
ifloat: 1
ildouble: 2
ldouble: 2
@@ -1029,6 +1033,26 @@
ifloat: 1
ildouble: 3
ldouble: 3
+Test "Real part of: ctan (0x1p1023 + 1 i) == -0.2254627924997545057926782581695274244229 + 0.8786063118883068695462540226219865087189 i":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: ctan (0x1p1023 + 1 i) == -0.2254627924997545057926782581695274244229 + 0.8786063118883068695462540226219865087189 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: ctan (0x1p127 + 1 i) == 0.2446359391192790896381501310437708987204 + 0.9101334047676183761532873794426475906201 i":
+double: 1
+idouble: 1
+Test "Real part of: ctan (0x3.243f6cp-1 + 0 i) == -2.287733242885645987394874673945769518150e7 + 0.0 i":
+float: 1
+ifloat: 1
+Test "Real part of: ctan (1 + 45 i) == 1.490158918874345552942703234806348520895e-39 + 1.000000000000000000000000000000000000001 i":
+ildouble: 1
+ldouble: 1
+Test "Real part of: ctan (1 + 47 i) == 2.729321264492904590777293425576722354636e-41 + 1.0 i":
+ildouble: 2
+ldouble: 2
# ctanh
Test "Real part of: ctanh (-2 - 3 i) == -0.965385879022133124278480269394560686 + 0.988437503832249372031403430350121098e-2 i":
@@ -1039,19 +1063,51 @@
ildouble: 3
ldouble: 3
Test "Imaginary part of: ctanh (-2 - 3 i) == -0.965385879022133124278480269394560686 + 0.988437503832249372031403430350121098e-2 i":
-ildouble: 1
-ldouble: 1
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: ctanh (0 + 0x3.243f6cp-1 i) == 0.0 - 2.287733242885645987394874673945769518150e7 i":
+float: 1
+ifloat: 1
Test "Imaginary part of: ctanh (0 + pi/4 i) == 0.0 + 1.0 i":
-float: 1
-ifloat: 1
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
Test "Real part of: ctanh (0.75 + 1.25 i) == 1.37260757053378320258048606571226857 + 0.385795952609750664177596760720790220 i":
double: 1
-idouble: 1
+float: 1
+idouble: 1
+ifloat: 1
Test "Imaginary part of: ctanh (0.75 + 1.25 i) == 1.37260757053378320258048606571226857 + 0.385795952609750664177596760720790220 i":
double: 1
-idouble: 1
-ildouble: 1
-ldouble: 1
+float: 2
+idouble: 1
+ifloat: 2
+ildouble: 1
+ldouble: 1
+Test "Real part of: ctanh (1 + 0x1p1023 i) == 0.8786063118883068695462540226219865087189 - 0.2254627924997545057926782581695274244229 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: ctanh (1 + 0x1p1023 i) == 0.8786063118883068695462540226219865087189 - 0.2254627924997545057926782581695274244229 i":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+Test "Real part of: ctanh (1 + 0x1p127 i) == 0.9101334047676183761532873794426475906201 + 0.2446359391192790896381501310437708987204 i":
+double: 1
+idouble: 1
+Test "Imaginary part of: ctanh (45 + 1 i) == 1.000000000000000000000000000000000000001 + 1.490158918874345552942703234806348520895e-39 i":
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: ctanh (47 + 1 i) == 1.0 + 2.729321264492904590777293425576722354636e-41 i":
+ildouble: 2
+ldouble: 2
# erf
Test "erf (1.25) == 0.922900128256458230136523481197281140":
@@ -1441,6 +1497,17 @@
# log1p
Test "log1p (-0.25) == -0.287682072451780927439219005993827432":
+float: 1
+ifloat: 1
+
+# pow
+Test "pow (0x0.ffffffp0, -0x1p24) == 2.7182819094701610539628664526874952929416":
+float: 1
+ifloat: 1
+Test "pow (0x0.ffffffp0, 0x1p24) == 0.3678794302077803437135155590023422899744":
+float: 1
+ifloat: 1
+Test "pow (0x1.000002p0, 0x1p24) == 7.3890552180866447284268641248075832310141":
float: 1
ifloat: 1
@@ -2289,33 +2356,35 @@
Function: Real part of "ctan":
double: 1
-idouble: 1
-ildouble: 1
-ldouble: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
Function: Imaginary part of "ctan":
double: 1
float: 1
idouble: 1
ifloat: 1
-ildouble: 3
-ldouble: 3
+ildouble: 1
+ldouble: 1
Function: Real part of "ctanh":
double: 1
-float: 2
-idouble: 1
-ifloat: 2
-ildouble: 3
-ldouble: 3
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
Function: Imaginary part of "ctanh":
double: 1
-float: 1
-idouble: 1
-ifloat: 1
-ildouble: 1
-ldouble: 1
+float: 2
+idouble: 1
+ifloat: 2
+ildouble: 2
+ldouble: 2
Function: "erf":
double: 1
@@ -2413,6 +2482,10 @@
float: 1
ifloat: 1
+Function: "pow":
+float: 1
+ifloat: 1
+
Function: "pow_downward":
float: 1
ifloat: 1
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