libm: sync with upstream.
There's potential here to maybe lose some/all of builtins.cpp, but I'll
look at that separately later.
Test: treehugger
Change-Id: I2c2bc1d0753affdd214daeb09fa1ac7cd73db347
diff --git a/libm/upstream-freebsd/lib/msun/ld128/k_cosl.c b/libm/upstream-freebsd/lib/msun/ld128/k_cosl.c
index fe57773..422357b 100644
--- a/libm/upstream-freebsd/lib/msun/ld128/k_cosl.c
+++ b/libm/upstream-freebsd/lib/msun/ld128/k_cosl.c
@@ -21,8 +21,8 @@
#include "math_private.h"
/*
- * Domain [-0.7854, 0.7854], range ~[-1.80e-37, 1.79e-37]:
- * |cos(x) - c(x))| < 2**-122.0
+ * Domain [-0.7854, 0.7854], range ~[-1.17e-39, 1.19e-39]:
+ * |cos(x) - c(x))| < 2**-129.3
*
* 113-bit precision requires more care than 64-bit precision, since
* simple methods give a minimax polynomial with coefficient for x^2
@@ -31,21 +31,19 @@
*/
static const double
one = 1.0;
-
static const long double
-C1 = 0.04166666666666666666666666666666658424671L,
-C2 = -0.001388888888888888888888888888863490893732L,
-C3 = 0.00002480158730158730158730158600795304914210L,
-C4 = -0.2755731922398589065255474947078934284324e-6L,
-C5 = 0.2087675698786809897659225313136400793948e-8L,
-C6 = -0.1147074559772972315817149986812031204775e-10L,
-C7 = 0.4779477332386808976875457937252120293400e-13L;
-
-static const double
-C8 = -0.1561920696721507929516718307820958119868e-15,
-C9 = 0.4110317413744594971475941557607804508039e-18,
-C10 = -0.8896592467191938803288521958313920156409e-21,
-C11 = 0.1601061435794535138244346256065192782581e-23;
+C1 = 4.16666666666666666666666666666666667e-02L,
+C2 = -1.38888888888888888888888888888888834e-03L,
+C3 = 2.48015873015873015873015873015446795e-05L,
+C4 = -2.75573192239858906525573190949988493e-07L,
+C5 = 2.08767569878680989792098886701451072e-09L,
+C6 = -1.14707455977297247136657111139971865e-11L,
+C7 = 4.77947733238738518870113294139830239e-14L,
+C8 = -1.56192069685858079920640872925306403e-16L,
+C9 = 4.11031762320473354032038893429515732e-19L,
+C10= -8.89679121027589608738005163931958096e-22L,
+C11= 1.61171797801314301767074036661901531e-24L,
+C12= -2.46748624357670948912574279501044295e-27L;
long double
__kernel_cosl(long double x, long double y)
@@ -54,7 +52,7 @@
z = x*x;
r = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*(C6+z*(C7+
- z*(C8+z*(C9+z*(C10+z*C11))))))))));
+ z*(C8+z*(C9+z*(C10+z*(C11+z*C12)))))))))));
hz = 0.5*z;
w = one-hz;
return w + (((one-w)-hz) + (z*r-x*y));
diff --git a/libm/upstream-freebsd/lib/msun/ld128/s_logl.c b/libm/upstream-freebsd/lib/msun/ld128/s_logl.c
index 93a2a7c..4774a27 100644
--- a/libm/upstream-freebsd/lib/msun/ld128/s_logl.c
+++ b/libm/upstream-freebsd/lib/msun/ld128/s_logl.c
@@ -697,14 +697,15 @@
invln2_hi = 1.4426950402557850e0; /* 0x17154765000000.0p-52 */
static const long double
invln10_lo = 1.41498268538580090791605082294397000e-10L, /* 0x137287195355baaafad33dc323ee3.0p-145L */
-invln2_lo = 6.33178418956604368501892137426645911e-10L; /* 0x15c17f0bbbe87fed0691d3e88eb57.0p-143L */
+invln2_lo = 6.33178418956604368501892137426645911e-10L, /* 0x15c17f0bbbe87fed0691d3e88eb57.0p-143L */
+invln10_lo_plus_hi = invln10_lo + invln10_hi,
+invln2_lo_plus_hi = invln2_lo + invln2_hi;
long double
log10l(long double x)
{
struct ld r;
- long double lo;
- float hi;
+ long double hi, lo;
ENTERI();
DOPRINT_START(&x);
@@ -712,18 +713,17 @@
if (!r.lo_set)
RETURNPI(r.hi);
_2sumF(r.hi, r.lo);
- hi = r.hi;
+ hi = (float)r.hi;
lo = r.lo + (r.hi - hi);
RETURN2PI(invln10_hi * hi,
- (invln10_lo + invln10_hi) * lo + invln10_lo * hi);
+ invln10_lo_plus_hi * lo + invln10_lo * hi);
}
long double
log2l(long double x)
{
struct ld r;
- long double lo;
- float hi;
+ long double hi, lo;
ENTERI();
DOPRINT_START(&x);
@@ -731,10 +731,10 @@
if (!r.lo_set)
RETURNPI(r.hi);
_2sumF(r.hi, r.lo);
- hi = r.hi;
+ hi = (float)r.hi;
lo = r.lo + (r.hi - hi);
RETURN2PI(invln2_hi * hi,
- (invln2_lo + invln2_hi) * lo + invln2_lo * hi);
+ invln2_lo_plus_hi * lo + invln2_lo * hi);
}
#endif /* STRUCT_RETURN */