. 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)
* Update the domain and range of comments for the polynomial
approximations, including using the the correct variable names
(e.g., pp(x) instead of p(x)).
* Use hex values of the form 0x3e0375d4 instead of 0x1.06eba8p-3,
which was obtained from printf("%.6a").
* In the domain [0.84375, 1.25], qa(x) can be reduced from a 4th
order polynomial to 3rd order.
* In the domain [1.25,1/0.35], sa(x) can be reduced from a 4th
order polynomial to 3rd order.
* In the domain [1/0.35, 11], the 4th order polynomials rb(x) and
sb(x) can be reduced to 2nd and 3rd order, respectively.
from erronously constant folding expressions of the form
'1 - tiny'. This allows erf[f](x) to raise INEXACT.
* Use 0.5, 1, and 2, which are exactly representable in radix-2
floating point formats. This reduces diffs between s_erf[fl].c.
* While here, add a comment about efx and efx8.
This includes:
o All directories named *ia64*
o All files named *ia64*
o All ia64-specific code guarded by __ia64__
o All ia64-specific makefile logic
o Mention of ia64 in comments and documentation
This excludes:
o Everything under contrib/
o Everything under crypto/
o sys/xen/interface
o sys/sys/elf_common.h
Discussed at: BSDcan
* msun/man/sinh.3:
* msun/man/tanh.3:
. Fix grammar.
* msun/src/e_coshl.c:
* msun/src/e_sinhl.c:
. Fix comment.
* msun/src/s_tanhl.c:
. Remove unused variables.
. Fix location/indentation of comments.
. Use comparison involving ints instead of long double.
. Re-order polynomial evaluation on ld128 for |x| < 0.25.
For now, retain the older order in an "#if 0 ... #else" block.
. Use int comparison to short-circuit the |x| < 1.5 condition.
Requested by: bde
. 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
* ld128/k_expl.h:
. Split out a computational kernel,__k_expl(x, &hi, &lo, &k) from expl(x).
x must be finite and not tiny or huge. The kernel returns hi and lo
values for extra precision and an exponent k for a 2**k scale factor.
. Define additional kernels k_hexpl() and hexpl() that include a 1/2
scaling and are used by the hyperbolic functions.
* ld80/s_expl.c:
* ld128/s_expl.c:
. Use the __k_expl() kernel.
Obtained from: bde
* Use bit twiddling. This requires inclusion of math_private.h
and inclusion of float.h in s_roundl.c. Raise invalid exception.
* Use literal integer constants where possible. Let the compiler
do the appropriate conversion.
* In s_roundf.c, use an F suffix on float constants instead of
promoting float to double and then converting the result back
to float. In s_roundl.c, use an L suffix.
* In s_roundl.c, use the ENTERI and RETURNI macros. This requires
the inclusion of fpmath.h and on __i386__ class hardware ieeefp.h.
Reviewed by: bde
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)
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.
. Use integer literal constants instead of double literal constants.
* s_erff.c:
. Use integer literal constants instead of casting double literal
constants to float.
. Update the threshold values from those carried over from erf() to
values appropriate for float.
. New sets of polynomial coefficients for the rational approximations.
These coefficients have little, but positive, effect on the maximum
error in ULP in the four intervals, but do improve the overall
speed of execution.
. Remove redundant GET_FLOAT_WORD(ix,x) as hx already contained the
contents that is packed into ix.
. Update the mask that is used to zero-out lower-order bits in x in
the intervals [1.25, 2.857143] and [2.857143, 12]. In tests on
amd64, this change improves the maximum error in ULP from 6.27739
and 63.8095 to 3.16774 and 2.92095 on these intervals for erffc().
Reviewed by: bde
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)
* Use integral numerical constants, and let the compiler do the
conversion to long double.
ld128/s_expl.c:
* Use integral numerical constants, and let the compiler do the
conversion to long double.
* Use the ENTERI/RETURNI macros, which are no-ops on ld128. This
however makes the ld80 and ld128 identical.
Reviewed by: bde (as part of larger diff)
* In the special case x = -Inf or -NaN, use a micro-optimization
to eliminate the need to access u.xbits.man.
* Fix an off-by-one for small arguments |x| < 0x1p-65.
ld128/s_expl.c:
* In the special case x = -Inf or -NaN, use a micro-optimization
to eliminate the need to access u.xbits.manh and u.xbits.manl.
* Fix an off-by-one for small arguments |x| < 0x1p-114.
Obtained from: bde
* Update the evaluation of the polynomial. This allows the removal
of the now unused variables t23 and t45.
ld128/s_expl.c:
* Update the evaluation of the polynomial and the intermediate
result t. This update allows several numerical constants to be
written as double rather than long double constants. Update
the constants as appropriate.
Obtained from: bde
and use macros to access the e component of the unions. This allows
the portions of the code in ld80 to be identical to the ld128 code.
Obtained from: bde
