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author | Richard Henderson <rth@twiddle.net> | 2012-03-10 08:55:53 -0800 |
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committer | Richard Henderson <rth@twiddle.net> | 2012-03-19 06:49:44 -0700 |
commit | eb92c487b35e26aa1e08815c4480d0bc5cc9f370 (patch) | |
tree | 99b3d94fcac1b61ea4c23f5575c109508db5e590 /sysdeps/ieee754/flt-32 | |
parent | 7d2e8012cfb4fa30086ef330ef1b993cfcc3dd99 (diff) | |
download | glibc-eb92c487b35e26aa1e08815c4480d0bc5cc9f370.tar.gz glibc-eb92c487b35e26aa1e08815c4480d0bc5cc9f370.tar.xz glibc-eb92c487b35e26aa1e08815c4480d0bc5cc9f370.zip |
Create and use SET_RESTORE_ROUND{,_NOEX,_53BIT}{,F,L}.
Diffstat (limited to 'sysdeps/ieee754/flt-32')
-rw-r--r-- | sysdeps/ieee754/flt-32/e_exp2f.c | 89 | ||||
-rw-r--r-- | sysdeps/ieee754/flt-32/e_expf.c | 49 |
2 files changed, 68 insertions, 70 deletions
diff --git a/sysdeps/ieee754/flt-32/e_exp2f.c b/sysdeps/ieee754/flt-32/e_exp2f.c index e728e6ec74..267d81b23f 100644 --- a/sysdeps/ieee754/flt-32/e_exp2f.c +++ b/sysdeps/ieee754/flt-32/e_exp2f.c @@ -54,53 +54,52 @@ __ieee754_exp2f (float x) int tval, unsafe; float rx, x22, result; union ieee754_float ex2_u, scale_u; - fenv_t oldenv; - - libc_feholdexcept_setroundf (&oldenv, FE_TONEAREST); - - /* 1. Argument reduction. - Choose integers ex, -128 <= t < 128, and some real - -1/512 <= x1 <= 1/512 so that - x = ex + t/512 + x1. - - First, calculate rx = ex + t/256. */ - rx = x + THREEp14; - rx -= THREEp14; - x -= rx; /* Compute x=x1. */ - /* Compute tval = (ex*256 + t)+128. - Now, t = (tval mod 256)-128 and ex=tval/256 [that's mod, NOT %; and - /-round-to-nearest not the usual c integer /]. */ - tval = (int) (rx * 256.0f + 128.0f); - - /* 2. Adjust for accurate table entry. - Find e so that - x = ex + t/256 + e + x2 - where -7e-4 < e < 7e-4, and - (float)(2^(t/256+e)) - is accurate to one part in 2^-64. */ - - /* 'tval & 255' is the same as 'tval%256' except that it's always - positive. - Compute x = x2. */ - x -= __exp2f_deltatable[tval & 255]; - - /* 3. Compute ex2 = 2^(t/255+e+ex). */ - ex2_u.f = __exp2f_atable[tval & 255]; - tval >>= 8; - unsafe = abs(tval) >= -FLT_MIN_EXP - 1; - ex2_u.ieee.exponent += tval >> unsafe; - scale_u.f = 1.0; - scale_u.ieee.exponent += tval - (tval >> unsafe); - - /* 4. Approximate 2^x2 - 1, using a second-degree polynomial, - with maximum error in [-2^-9 - 2^-14, 2^-9 + 2^-14] - less than 1.3e-10. */ - - x22 = (.24022656679f * x + .69314736128f) * ex2_u.f; - /* 5. Return (2^x2-1) * 2^(t/512+e+ex) + 2^(t/512+e+ex). */ - libc_fesetenv (&oldenv); + { + SET_RESTORE_ROUND_NOEXF (FE_TONEAREST); + + /* 1. Argument reduction. + Choose integers ex, -128 <= t < 128, and some real + -1/512 <= x1 <= 1/512 so that + x = ex + t/512 + x1. + + First, calculate rx = ex + t/256. */ + rx = x + THREEp14; + rx -= THREEp14; + x -= rx; /* Compute x=x1. */ + /* Compute tval = (ex*256 + t)+128. + Now, t = (tval mod 256)-128 and ex=tval/256 [that's mod, NOT %; + and /-round-to-nearest not the usual c integer /]. */ + tval = (int) (rx * 256.0f + 128.0f); + + /* 2. Adjust for accurate table entry. + Find e so that + x = ex + t/256 + e + x2 + where -7e-4 < e < 7e-4, and + (float)(2^(t/256+e)) + is accurate to one part in 2^-64. */ + + /* 'tval & 255' is the same as 'tval%256' except that it's always + positive. + Compute x = x2. */ + x -= __exp2f_deltatable[tval & 255]; + + /* 3. Compute ex2 = 2^(t/255+e+ex). */ + ex2_u.f = __exp2f_atable[tval & 255]; + tval >>= 8; + unsafe = abs(tval) >= -FLT_MIN_EXP - 1; + ex2_u.ieee.exponent += tval >> unsafe; + scale_u.f = 1.0; + scale_u.ieee.exponent += tval - (tval >> unsafe); + + /* 4. Approximate 2^x2 - 1, using a second-degree polynomial, + with maximum error in [-2^-9 - 2^-14, 2^-9 + 2^-14] + less than 1.3e-10. */ + + x22 = (.24022656679f * x + .69314736128f) * ex2_u.f; + } + /* 5. Return (2^x2-1) * 2^(t/512+e+ex) + 2^(t/512+e+ex). */ result = x22 * x + ex2_u.f; if (!unsafe) diff --git a/sysdeps/ieee754/flt-32/e_expf.c b/sysdeps/ieee754/flt-32/e_expf.c index e69e7f6ae0..57aff16ab7 100644 --- a/sysdeps/ieee754/flt-32/e_expf.c +++ b/sysdeps/ieee754/flt-32/e_expf.c @@ -80,40 +80,39 @@ __ieee754_expf (float x) double x22, t, result, dx; float n, delta; union ieee754_double ex2_u; - fenv_t oldenv; - libc_feholdexcept_setroundf (&oldenv, FE_TONEAREST); + { + SET_RESTORE_ROUND_NOEXF (FE_TONEAREST); - /* Calculate n. */ - n = x * M_1_LN2 + THREEp22; - n -= THREEp22; - dx = x - n*M_LN2; + /* Calculate n. */ + n = x * M_1_LN2 + THREEp22; + n -= THREEp22; + dx = x - n*M_LN2; - /* Calculate t/512. */ - t = dx + THREEp42; - t -= THREEp42; - dx -= t; + /* Calculate t/512. */ + t = dx + THREEp42; + t -= THREEp42; + dx -= t; - /* Compute tval = t. */ - tval = (int) (t * 512.0); + /* Compute tval = t. */ + tval = (int) (t * 512.0); - if (t >= 0) - delta = - __exp_deltatable[tval]; - else - delta = __exp_deltatable[-tval]; + if (t >= 0) + delta = - __exp_deltatable[tval]; + else + delta = __exp_deltatable[-tval]; - /* Compute ex2 = 2^n e^(t/512+delta[t]). */ - ex2_u.d = __exp_atable[tval+177]; - ex2_u.ieee.exponent += (int) n; + /* Compute ex2 = 2^n e^(t/512+delta[t]). */ + ex2_u.d = __exp_atable[tval+177]; + ex2_u.ieee.exponent += (int) n; - /* Approximate e^(dx+delta) - 1, using a second-degree polynomial, - with maximum error in [-2^-10-2^-28,2^-10+2^-28] - less than 5e-11. */ - x22 = (0.5000000496709180453 * dx + 1.0000001192102037084) * dx + delta; + /* Approximate e^(dx+delta) - 1, using a second-degree polynomial, + with maximum error in [-2^-10-2^-28,2^-10+2^-28] + less than 5e-11. */ + x22 = (0.5000000496709180453 * dx + 1.0000001192102037084) * dx + delta; + } /* Return result. */ - libc_fesetenvf (&oldenv); - result = x22 * ex2_u.d + ex2_u.d; return (float) result; } |