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author | kargl <kargl@FreeBSD.org> | 2013-06-03 17:36:26 +0000 |
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committer | kargl <kargl@FreeBSD.org> | 2013-06-03 17:36:26 +0000 |
commit | 9b5da9961260ea6402d6dfb925c5b6f9a2bddaa7 (patch) | |
tree | 3f3a346b5bdac14ec0b91442af654b15686f4403 /lib/msun | |
parent | dba06374217a6547a34dc39484ad849d19ba5e5b (diff) | |
download | FreeBSD-src-9b5da9961260ea6402d6dfb925c5b6f9a2bddaa7.zip FreeBSD-src-9b5da9961260ea6402d6dfb925c5b6f9a2bddaa7.tar.gz |
* Rename the polynomial coefficients from P2, P3, ... to A2, A3, ....
The names now coincide with the name used in PTP Tang's paper.
* Rename the variable from s to tbl to better reflect that
this is a table, and to be consistent with the naming scheme
in s_exp2l.c
Reviewed by: bde (as part of larger diff)
Diffstat (limited to 'lib/msun')
-rw-r--r-- | lib/msun/ld128/s_expl.c | 30 | ||||
-rw-r--r-- | lib/msun/ld80/s_expl.c | 19 |
2 files changed, 24 insertions, 25 deletions
diff --git a/lib/msun/ld128/s_expl.c b/lib/msun/ld128/s_expl.c index 8f35805..d3a4c932 100644 --- a/lib/msun/ld128/s_expl.c +++ b/lib/msun/ld128/s_expl.c @@ -52,21 +52,21 @@ twom10000 = 0x1p-10000L, u_threshold = -11433.462743336297878837243843452621503L; static const long double -P2 = 5.00000000000000000000000000000000000e-1L, -P3 = 1.66666666666666666666666666666666972e-1L, -P4 = 4.16666666666666666666666666653708268e-2L, -P5 = 8.33333333333333333333333315069867254e-3L, -P6 = 1.38888888888888888888996596213795377e-3L, -P7 = 1.98412698412698412718821436278644414e-4L, -P8 = 2.48015873015869681884882576649543128e-5L, -P9 = 2.75573192240103867817876199544468806e-6L, -P10 = 2.75573236172670046201884000197885520e-7L, -P11 = 2.50517544183909126492878226167697856e-8L; +A2 = 5.00000000000000000000000000000000000e-1L, +A3 = 1.66666666666666666666666666666666972e-1L, +A4 = 4.16666666666666666666666666653708268e-2L, +A5 = 8.33333333333333333333333315069867254e-3L, +A6 = 1.38888888888888888888996596213795377e-3L, +A7 = 1.98412698412698412718821436278644414e-4L, +A8 = 2.48015873015869681884882576649543128e-5L, +A9 = 2.75573192240103867817876199544468806e-6L, +A10 = 2.75573236172670046201884000197885520e-7L, +A11 = 2.50517544183909126492878226167697856e-8L; static const struct { long double hi; long double lo; -} s[INTERVALS] = { +} tbl[INTERVALS] = { 0x1p0L, 0x0p0L, 0x1.0163da9fb33356d84a66aep0L, 0x3.36dcdfa4003ec04c360be2404078p-92L, 0x1.02c9a3e778060ee6f7cacap0L, 0x4.f7a29bde93d70a2cabc5cb89ba10p-92L, @@ -245,10 +245,10 @@ expl(long double x) } r = r1 + r2; - q = r * r * (P2 + r * (P3 + r * (P4 + r * (P5 + r * (P6 + r * (P7 + - r * (P8 + r * (P9 + r * (P10 + r * P11))))))))); - t = s[n2].lo + s[n2].hi; - t = s[n2].hi + (s[n2].lo + t * (r2 + q + r1)); + q = r * r * (A2 + r * (A3 + r * (A4 + r * (A5 + r * (A6 + r * (A7 + + r * (A8 + r * (A9 + r * (A10 + r * A11))))))))); + t = tbl[n2].lo + tbl[n2].hi; + t = tbl[n2].hi + (tbl[n2].lo + t * (r2 + q + r1)); /* Scale by 2**k. */ if (k >= LDBL_MIN_EXP) { diff --git a/lib/msun/ld80/s_expl.c b/lib/msun/ld80/s_expl.c index ab0f2bf..0fa5c91 100644 --- a/lib/msun/ld80/s_expl.c +++ b/lib/msun/ld80/s_expl.c @@ -78,11 +78,11 @@ L2 = -3.2819649005320973e-13, /* -0x1718432a1b0e26.0p-94 */ * |exp(x) - p(x)| < 2**-77.2 * (0.002708 is ln2/(2*INTERVALS) rounded up a little). */ -P2 = 0.5, -P3 = 1.6666666666666119e-1, /* 0x15555555555490.0p-55 */ -P4 = 4.1666666666665887e-2, /* 0x155555555554e5.0p-57 */ -P5 = 8.3333354987869413e-3, /* 0x1111115b789919.0p-59 */ -P6 = 1.3888891738560272e-3; /* 0x16c16c651633ae.0p-62 */ +A2 = 0.5, +A3 = 1.6666666666666119e-1, /* 0x15555555555490.0p-55 */ +A4 = 4.1666666666665887e-2, /* 0x155555555554e5.0p-57 */ +A5 = 8.3333354987869413e-3, /* 0x1111115b789919.0p-59 */ +A6 = 1.3888891738560272e-3; /* 0x16c16c651633ae.0p-62 */ /* * 2^(i/INTERVALS) for i in [0,INTERVALS] is represented by two values where @@ -96,8 +96,7 @@ P6 = 1.3888891738560272e-3; /* 0x16c16c651633ae.0p-62 */ static const struct { double hi; double lo; -/* XXX should rename 's'. */ -} s[INTERVALS] = { +} tbl[INTERVALS] = { 0x1p+0, 0x0p+0, 0x1.0163da9fb3335p+0, 0x1.b61299ab8cdb7p-54, 0x1.02c9a3e778060p+0, 0x1.dcdef95949ef4p-53, @@ -284,14 +283,14 @@ expl(long double x) twopkp10000 = v.e; } - /* Evaluate expl(midpoint[n2] + r1 + r2) = s[n2] * expl(r1 + r2). */ + /* Evaluate expl(midpoint[n2] + r1 + r2) = tbl[n2] * expl(r1 + r2). */ /* Here q = q(r), not q(r1), since r1 is lopped like L1. */ t45 = r * P5 + P4; z = r * r; t23 = r * P3 + P2; q = r2 + z * t23 + z * z * t45 + z * z * z * P6; - t = (long double)s[n2].lo + s[n2].hi; - t = s[n2].lo + t * (q + r1) + s[n2].hi; + t = (long double)tbl[n2].lo + tbl[n2].hi; + t = tbl[n2].lo + t * (q + r1) + tbl[n2].hi; /* Scale by 2**k. */ if (k >= LDBL_MIN_EXP) { |