MFC r327400 (by eadler):

cacos(3): correct spelling of 'I'

In some cases we had 'i' instead of 'I'.

PR: 195517
Submitted by: stephen

MFC r329259 (by eadler):

msun: signed overflow in atan2

As a component of atan2(y, x), the case of x == 1.0 is farmed out to
atan(y). The current implementation of this comparison is vulnerable
to signed integer underflow (that is, undefined behavior), and it's
performed in a somewhat more complicated way than it need be. Change
it to not be quite so cute, rather directly comparing the high/low
bits of x to the specific IEEE-754 bit pattern that encodes 1.0.

Note that while there are three different e_atan* files in the
relevant directory, only this one needs fixing. e_atan2f.c already
compares against the full bit pattern encoding 1.0f, while
e_atan2l.cuses bitwise-ands/ors/nots and so doesn't require a change.

Closes #130

Submitted by: Jeff Walden (@jswalden github PR #130)
Reviewed by: bde

MFC r334721 (by cem):

clog.3, complex.3: Fix typos and igor style issues

PR: 228783
Reported by: Karsten <freebsd-bugzilla AT kkoenig.net>

MFC r336299 (by mmacy):

msun: add ld80/ld128 powl, cpow, cpowf, cpowl from openbsd

This corresponds to the latest status (hasn't changed in 9+
years) from openbsd of ld80/ld128 powl, and source cpowf, cpow,
cpowl (the complex power functions for float complex, double
complex, and long double complex) which are required for C99
compliance and were missing from FreeBSD. Also required for
some numerical codes using complex numbered Hamiltonians.

Thanks to jhb for tracking down the issue with making
weak_reference compile on powerpc.

When asked to review, bde said "I don't like it" - but
provided no actionable feedback or superior implementations.

Discussed with: jhb
Submitted by: jmd
Differential Revision: https://reviews.freebsd.org/D15919

MFC r336563:

Recommit r336497: Fix powl, cpow, cpowf, and cpowl imports from OpenBSD

This is a follow-up to r336299.

* lib/msun/Makefile:
. Remove polevll.c

* lib/msun/ld80/e_powl.c:
. Copy contents of polevll.c to here. This is the only consumer of
these functions. Make functions 'static inline'.
. Make reducl a 'static inline' function.

* lib/msun/man/exp.3:
. Remove BUGS section that no longer applies.

* lib/msun/src/math_private.h:
. Remove prototypes of __p1evll() and __polevll()

* lib/msun/src/s_cpow.c:
* lib/msun/src/s_cpowf.c:
* lib/msun/src/s_cpowl.c
. Include math_private.h.
. Use the CMPLX macro from either C99 or math_private.h (depends on
compiler support) instead of the problematic use of complex I.

Submitted by: Steve Kargl <sgk@troutmask.apl.washington.edu>
PR: 229876

MFC r333577:
Add implementations for clog(3), clogf(3), and clogl(3).

PR: 216863

Synchronize most of libm with head as of r323004. This excludes a few
arch-specific updates for powerpcspe, mips and riscv, for which support
has not been merged yet.

Bump __FreeBSD_version for the addition of cacoshl, cacosl, casinhl,
casinl, catanl, catanhl, sincos, sincosf, and sincosl.

MFC r305382 (by bde):

Add asm versions of fmod(), fmodf() and fmodl() on amd64. Add asm
versions of fmodf() amd fmodl() on i387.

fmod is similar to remainder, and the C versions are 3 to 9 times
slower than the asm versions on x86 for both, but we had the strange
mixture of all 6 variants of remainder in asm and only 1 of 6
variants of fmod in asm.

MFC r305384 (by bde):

Disconnect the "optimized" asm variants of cos(), sin() and tan() from
the build on i386. Leave them in the source tree for regression tests.

The asm functions were always much less accurate (by a factor of more
than 10**18 in the worst case). They were faster on old CPUs. But
with each new generation of CPUs they get relatively slower. The
double precision C version's average advantage is about a factor of 2
on Haswell.

The asm functions were already intentionally avoided in float and long
double precision on i386 and in all precisions on amd64. Float
precision and amd64 give larger advantages to the C version. The long
double precision C code and compilers' understanding of long double
precision are not so good, so the i387 is still slightly faster for
long double precision, except for the unimportant subcase of huge args
where the sub-optimal C code now somehow beats the i387 by about a
factor of 2.

MFC r305385 (by bde):

Oops, the previous i386 version of e_fmodf.S and e_fmodl.S was
actually the amd64 version.

MFC r306409 (by emaste):

libm: fix some unused variable (rcsid) and dangling else warnings

s_{fabs,fmax,logb,scalb}{,f,l}.c may be built elsewhere with a higher
WARNS setting.

Reviewed by: ed
Sponsored by: The FreeBSD Foundation
Differential Revision: https://reviews.freebsd.org/D8061

MFC r306410 (by emaste):

libm: simplify i387 subdir logic with make's :S substitution

MFC r306527 (by emaste):

libm: remove unused variables for LDBL_MANT_DIG != 113

Sponsored by: The FreeBSD Foundation

MFC r306709 (by emaste):

libm: remove unused variables

Sponsored by: The FreeBSD Foundation

MFC r307066 (by br):

Don't use fmaxl/fminl on platforms with no long double support,
use fmax/fmin instead.

This fixes fmaxmin test failure on MIPS64.

Reviewed by: emaste
Sponsored by: DARPA, AFRL
Sponsored by: HEIF5
Differential Revision: https://reviews.freebsd.org/D8216

MFC r308172 (by emaste):

libm: add braces around initialization of subobjects

This cleans up a warning when building libm at higher WARNS levels and
makes the intent more clear. By the C standard the values are assigned
to subobject members in order so this change introduces no functional
change. (6.7.9 20)

Reviewed by: kib
Sponsored by: The FreeBSD Foundation
Differential Revision: https://reviews.freebsd.org/D8333

MFC r313761 (by mmokhi):

Add casinl() cacosl() catanl() casinhl() cacoshl() catanhl() APIs to msun
to improve C11 conformance.

PR: 216850 216851 216852 216856 216857 216858
Submitted by: mmokhi
Reported by: sgk@troutmask.apl.washington.edu
Reviewed by: bde, mat, theraven
Approved by: bde (src committer), mat (mentor)
Differential Revision: https://reviews.freebsd.org/D9491

MFC r313863 (by mmokhi):

Fix building of r313761 on platforms that
`long double` is alias of `double` (MIPS, etc)

PR: 216850 216851 216852 216856 216857 216858
Reported by: emsate
Reviewed by: bde emaste hselasky
Approved by: bde emaste hselasky
Differential Revision: https://reviews.freebsd.org/D9491

MFC r313864 (by mmokhi):

Add documentations related to new APIs of r313761

PR: 216850 216851 216852 216856 216857 216858
Submitted by: sgk@troutmask.apl.washington.edu
Reported by: sgk@troutmask.apl.washington.edu
Reviewed by: bde emaste hselasky
Approved by: bde emaste hselasky
Differential Revision: https://reviews.freebsd.org/D9491

MFC r314950 (by ngie):

Don't expect :test_large_inputs to fail with i386 anymore

Recent changes (maybe a side-effect of the ATF-ification in r314649)
invalidate the failure expectation.

PR: 205446
Sponsored by: Dell EMC Isilon

MFC r317349 (by pfg):

msun: Remove trailing space in Sunsoft copyright statement.

Submittedby: kargl

MFC r319047 (by mmel):

Implement sincos, sincosf, and sincosl.
The primary benefit of these functions is that argument
reduction is done once instead of twice in independent
calls to sin() and cos().

* lib/msun/Makefile:
. Add s_sincos[fl].c to the build.
. Add sincos.3 documentation.
. Add appropriate MLINKS.

* lib/msun/Symbol.map:
. Expose sincos[fl] symbols in dynamic libm.so.

* lib/msun/man/sincos.3:
. Documentation for sincos[fl].

* lib/msun/src/k_sincos.h:
. Kernel for sincos() function. This merges the individual kernels
for sin() and cos(). The merger offered an opportunity to re-arrange
the individual kernels for better performance.

* lib/msun/src/k_sincosf.h:
. Kernel for sincosf() function. This merges the individual kernels
for sinf() and cosf(). The merger offered an opportunity to re-arrange
the individual kernels for better performance.

* lib/msun/src/k_sincosl.h:
. Kernel for sincosl() function. This merges the individual kernels
for sinl() and cosl(). The merger offered an opportunity to re-arrange
the individual kernels for better performance.

* lib/msun/src/math.h:
. Add prototytpes for sincos[fl]().

* lib/msun/src/math_private.h:
. Add RETURNV macros. This is needed to reset fpsetprec on I386
hardware for a function with type void.

* lib/msun/src/s_sincos.c:
. Implementation of sincos() where sin() and cos() were merged into
one routine and possibly re-arranged for better performance.

* lib/msun/src/s_sincosf.c:
. Implementation of sincosf() where sinf() and cosf() were merged into
one routine and possibly re-arranged for better performance.

* lib/msun/src/s_sincosl.c:
. Implementation of sincosl() where sinl() and cosl() were merged into
one routine and possibly re-arranged for better performance.

PR: 215977, 218300
Submitted by: Steven G. Kargl <sgk@troutmask.apl.washington.edu>
Differential Revision: https://reviews.freebsd.org/D10765

MFC r321457 (by ngie):

Mark :reduction as an expected failure

It fails with clang 5.0+.

PR: 220989
Reported by: Jenkins

MFC r322418 (by rlibby):

lib/msun: avoid referring to broken LDBL_MAX

LDBL_MAX is broken on i386:
https://lists.freebsd.org/pipermail/freebsd-numerics/2012-September/000288.html

Gcc has produced +Infinity for LDBL_MAX on i386 and amd64 with -m32
for some time, and newer versions of gcc are now warning that the
"floating constant exceeds range of 'long double'". Avoid this by
referring to half the value of LDBL_MAX instead.

Reviewed by: bde
Approved by: markj (mentor)
Sponsored by: Dell EMC Isilon

MFC r322435 (by rlibby):

Revert r322418, LDBL_MAX_EXP unsuitable for macro pasting on some arches

Either need a different way to spell HALF_LDBL_MAX, or a different way
to spell LDBL_MAX_EXP, or a different approach.

Reported by: ian

MFC r322921 (by ngie):

Revert r321457

It doesn't fail after ^/head@r322855 (the releng_50 clang merge).

PR: 220989

Copy head@r302406 to stable/11 as part of the 11.0-RELEASE cycle.
Prune svn:mergeinfo from the new branch, as nothing has been merged
here.

Additional commits post-branch will follow.

Approved by: re (implicit)
Sponsored by: The FreeBSD Foundation

* Makefile:
. Hook e_lgammal[_r].c to the build.
. Create man page links for lgammal[-r].3.

* Symbol.map:
. Sort lgammal to its rightful place.
. Add FBSD_1.4 section for the new lgamal_r symbol.

* ld128/e_lgammal_r.c:
. 128-bit implementataion of lgammal_r().

* ld80/e_lgammal_r.c:
. Intel 80-bit format implementation of lgammal_r().

* src/e_lgamma.c:
. Expose lgammal as a weak reference to lgamma for platforms
where long double is mapped to double.

* src/e_lgamma_r.c:
. Use integer literal constants instead of real literal constants.
Let compiler(s) do the job of conversion to the appropriate type.
. Expose lgammal_r as a weak reference to lgamma_r for platforms
where long double is mapped to double.

* src/e_lgammaf_r.c:
. Fixed the Cygnus Support conversion of e_lgamma_r.c to float.
This includes the generation of new polynomial and rational
approximations with fewer terms. For each approximation, include
a comment on an estimate of the accuracy over the relevant domain.
. Use integer literal constants instead of real literal constants.
Let compiler(s) do the job of conversion to the appropriate type.
This allows the removal of several explicit casts of double values
to float.

* src/e_lgammal.c:
. Wrapper for lgammal() about lgammal_r().

* src/imprecise.c:
. Remove the lgamma.

* src/math.h:
. Add a prototype for lgammal_r().

* man/lgamma.3:
. Document the new functions.

Reviewed by: bde

* Makefile:
. Add s_erfl.c to building libm.
. Add MLINKS for erfl.3 and erfcl.3.

* Symbol.map:
. Move erfl and erfcl to their proper location.

* ld128/s_erfl.c:
. Implementations of erfl and erfcl in the IEEE 754 128-bit format.

* ld80/s_erfl.c:
. Implementations of erfl and erfcl in the Intel 80-bit format.

* man/erf.3:
. Document the new functions.
. While here, remove an incomplete sentence.

* src/imprecise.c:
. Remove the stupidity of mapping erfl and erfcl to erf and erfc.

* src/math.h:
. Move the declarations of erfl and erfcl to their proper place.

* src/s_erf.c:
. For architectures where double and long double are the same
floating point format, use weak references to map erfl to
erf and ercl to erfc.

Reviewed by: bde (many earlier versions)

* Makefile:
. Hook coshl, sinhl, and tanhl into libm.
. Create symbolic links for corresponding manpages.
. While here remove a nearby extraneous space.

* Symbol.map:
* src/math.h:
. Move coshl, sinhl, and tanhl to their proper locations.

* man/cosh.3:
* man/sinh.3:
* man/tanh.3:
. Update the manpages.

* src/e_cosh.c:
* src/e_sinh.c:
* src/s_tanh.c:
. Add weak reference for LBDL_MANT_DIG==53 targets.

* src/imprecise.c:
. Remove the coshl, sinhl, and tanhl kludge.

* src/e_coshl.c:
. ld80 and ld128 implementation of coshl().

* src/e_sinhl.c:
. ld80 and ld128 implementation of sinhl().

* src/s_tanhl.c:
. ld80 and ld128 implementation of tanhl().

Obtained from: bde (mostly), das and kargl

After r255294, building lib/msun's symbol map (using clang as the
preprocessor) gives the following error:

--- Version.map ---
<stdin>:287:4: error: invalid preprocessing directive
# Implemented as weak aliases for imprecise versions
^
1 error generated.

Change the comment to a C-style one, to prevent this error.

Approved by: re (hrs)

Add stub implementations of the missing C++11 math functions.
These are weak and so can be replaced by other versions in applications
that choose to do so, and will give a linker warning when used so that
applications that rely on the extra precision can avoid them.

Note that since the C/C++ specs only guarantee that long double has
precision equal to double, code that actually relies on these functions
having greater precision is unportable at best and broken at worst.

Add implementations of acoshl(), asinhl(), and atanhl(). This is a
merge of the work done by bde and myself.

ld80 and ld128 implementations of expm1l(). This code started life
as a fairly faithful implementation of the algorithm found in

PTP Tang, "Table-driven implementation of the Expm1 function
in IEEE floating-point arithmetic," ACM Trans. Math. Soft., 18,
211-222 (1992).

Over the last 18-24 months, the code has under gone significant
optimization and testing.

Reviewed by: bde
Obtained from: bde (most of the optimizations)

Add logl, log2l, log10l, and log1pl.

Submitted by: bde

I'm happy to finally commit stephen@'s implementations of cacos,
cacosh, casin, casinh, catan, and catanh. Thanks to stephen@ and bde@
for working on these.

Submitted by: stephen@
Reviewed by: bde

Compute the exponential of x for Intel 80-bit format and IEEE 128-bit
format. These implementations are based on

PTP Tang, "Table-driven implementation of the exponential function
in IEEE floating-point arithmetic," ACM Trans. Math. Soft., 15,
144-157 (1989).

PR: standards/152415
Submitted by: kargl
Reviewed by: bde, das
Approved by: das (mentor)

Add c{cos,sin,tan}{,h}{,f} functions. This is joint work with
bde and kargl.

Provide external definitions of all of the standardized functions in
fenv.h that are currently inlined.

The definitions are provided in fenv.c via 'extern inline'
declaractions. This assumes the compiler handles 'extern inline' as
specified in C99, which has been true under FreeBSD since 8.0.

The goal is to eventually remove the 'static' keyword from the inline
definitions in fenv.h, so that non-inlined references all wind up
pointing to the same external definition like they're supposed to.
I am deferring the second step to provide a window where
newly-compiled apps will still link against old math libraries.
(This isn't supported, but there's no need to cause undue breakage.)

Reviewed by: stefanf, bde

Take two. Add the missing file that should have been committed
with r219571 and re-enable building of cbrtl.

Implement the long double version for the cube root function, cbrtl.
The algorithm uses Newton's iterations with a crude estimate of the
cube root to converge to a result.

Reviewed by: bde
Approved by: das

Temporary disable the building of cbrtl until I
can determine why svn will not allow one to commit
a new file.

Approved by: das (implicit)

Implement the long double version for the cube root function, cbrtl.
The algorithm uses Newton's iterations with a crude estimate of the
cube root to converge to a result.

Reviewed by: bde
Approved by: das

Remove part of an uncommitted change that snuck into the last commit.

Add cexp() and cexpf().

Reviewed by: bde (earlier version)

Add log2() and log2f().

Introduce __isnanf() as an alias for isnanf(), and make the isnan()
macro expand to __isnanf() instead of isnanf() for float arguments.
This change is needed because isnanf() isn't declared in strict POSIX
or C99 mode.

Compatibility note: Apps using isnan(float) that are compiled after
this change won't link against an older libm.

Reported by: Florian Forster <octo@verplant.org>

Implement cproj{,f,l}().

Add implementations of acosl(), asinl(), atanl(), atan2l(),
and cargl().

Reviewed by: bde
sparc64 testing resources from: remko

Implement fmodl.
Document fmodl and fix some errors in the fmod manpage.

Hook remquol() and remainderl() up to the build.

Implement csqrtl().

Hook hypotl() and cabsl() up to the build.

Hook up sqrtl() to the build.

Add tgammaf() as a simple wrapper around tgamma().

Hook up sinl(), cosl(), and tanl() to the build.

Hook up exp2l() and related docs to the build.

Implement rintl(), nearbyintl(), lrintl(), and llrintl().
Thanks to bde@ for feedback and testing of rintl().

Remove z_abs(). The z_*() functions were in libf77, and for some reason
someone thought it would be a good idea to copy z_abs() to libm in 1994.
However, it's never been declared or documented anywhere, and I'm
reasonably confident that nobody uses it.

Discussed with: bde, deischen, kan

Add logbl(3) to libm.

Implement and document nan(), nanf(), and nanl(). This commit
adds two new directories in msun: ld80 and ld128. These are for
long double functions specific to the 80-bit long double format
used on x86-derived architectures, and the 128-bit format used on
sparc64, respectively.

1. Add csqrt{,f}(3).
2. Put carg{,f}(3) under the FBSD_1.1 namespace where it belongs
(requested by kan@)

Typo in previous commit

Symbol.map additions for carg and cargf. (They're in C99, so I didn't
add a new version for them.)

Use C comments since we now preprocess these files with CPP.

Implement modfl().

Remove modf from libm's symbol map. It's actually in libc for
hysterical raisins.

Add symbol versioning to libm.