X-Git-Url: http://nsz.repo.hu/git/?a=blobdiff_plain;f=src%2Fmath%2Ferfl.c;h=e267c231059cb85c126b8e86a10d43254ff5aaf0;hb=f6ecd0c296181bf6a2a7f54e3406c846500e8e63;hp=2fd3c440d55c495ac080b1a06d0347424ca04ef5;hpb=7efa12a04ac4a14d243c2276519e152ed815b4d2;p=musl diff --git a/src/math/erfl.c b/src/math/erfl.c index 2fd3c440..e267c231 100644 --- a/src/math/erfl.c +++ b/src/math/erfl.c @@ -253,8 +253,8 @@ static long double erfc1(long double x) static long double erfc2(uint32_t ix, long double x) { + union ldshape u; long double s,z,R,S; - uint32_t i0,i1; if (ix < 0x3fffa000) /* 0.84375 <= |x| < 1.25 */ return erfc1(x); @@ -266,50 +266,33 @@ static long double erfc2(uint32_t ix, long double x) s * (ra[5] + s * (ra[6] + s * (ra[7] + s * ra[8]))))))); S = sa[0] + s * (sa[1] + s * (sa[2] + s * (sa[3] + s * (sa[4] + s * (sa[5] + s * (sa[6] + s * (sa[7] + s * (sa[8] + s)))))))); - } else { /* 2.857 <= |x| */ + } else if (ix < 0x4001d555) { /* 2.857 <= |x| < 6.6666259765625 */ R = rb[0] + s * (rb[1] + s * (rb[2] + s * (rb[3] + s * (rb[4] + s * (rb[5] + s * (rb[6] + s * rb[7])))))); S = sb[0] + s * (sb[1] + s * (sb[2] + s * (sb[3] + s * (sb[4] + s * (sb[5] + s * (sb[6] + s)))))); - } - if (ix < 0x4000b6db) { /* 1.25 <= |x| < 2.85711669921875 ~ 1/.35 */ - R = ra[0] + s * (ra[1] + s * (ra[2] + s * (ra[3] + s * (ra[4] + - s * (ra[5] + s * (ra[6] + s * (ra[7] + s * ra[8]))))))); - S = sa[0] + s * (sa[1] + s * (sa[2] + s * (sa[3] + s * (sa[4] + - s * (sa[5] + s * (sa[6] + s * (sa[7] + s * (sa[8] + s)))))))); - } else if (ix < 0x4001d555) { /* 6.6666259765625 > |x| >= 1/.35 ~ 2.857143 */ - R = rb[0] + s * (rb[1] + s * (rb[2] + s * (rb[3] + s * (rb[4] + - s * (rb[5] + s * (rb[6] + s * rb[7])))))); - S = sb[0] + s * (sb[1] + s * (sb[2] + s * (sb[3] + s * (sb[4] + - s * (sb[5] + s * (sb[6] + s)))))); - } else { /* 107 > |x| >= 6.666 */ + } else { /* 6.666 <= |x| < 107 (erfc only) */ R = rc[0] + s * (rc[1] + s * (rc[2] + s * (rc[3] + s * (rc[4] + s * rc[5])))); S = sc[0] + s * (sc[1] + s * (sc[2] + s * (sc[3] + s * (sc[4] + s)))); } - z = x; - GET_LDOUBLE_WORDS(ix, i0, i1, z); - i1 = 0; - i0 &= 0xffffff00; - SET_LDOUBLE_WORDS(z, ix, i0, i1); + u.f = x; + u.i.m &= -1ULL << 40; + z = u.f; return expl(-z*z - 0.5625) * expl((z - x) * (z + x) + R / S) / x; } long double erfl(long double x) { long double r, s, z, y; - uint32_t i0, i1, ix; - int sign; + union ldshape u = {x}; + uint32_t ix = (u.i.se & 0x7fffU)<<16 | u.i.m>>48; + int sign = u.i.se >> 15; - GET_LDOUBLE_WORDS(ix, i0, i1, x); - sign = ix >> 15; - ix &= 0x7fff; - if (ix == 0x7fff) { + if (ix >= 0x7fff0000) /* erf(nan)=nan, erf(+-inf)=+-1 */ return 1 - 2*sign + 1/x; - } - ix = (ix << 16) | (i0 >> 16); if (ix < 0x3ffed800) { /* |x| < 0.84375 */ if (ix < 0x3fde8000) { /* |x| < 2**-33 */ return 0.125 * (8 * x + efx8 * x); /* avoid underflow */ @@ -332,17 +315,13 @@ long double erfl(long double x) long double erfcl(long double x) { long double r, s, z, y; - uint32_t i0, i1, ix; - int sign; + union ldshape u = {x}; + uint32_t ix = (u.i.se & 0x7fffU)<<16 | u.i.m>>48; + int sign = u.i.se >> 15; - GET_LDOUBLE_WORDS(ix, i0, i1, x); - sign = ix>>15; - ix &= 0x7fff; - if (ix == 0x7fff) + if (ix >= 0x7fff0000) /* erfc(nan) = nan, erfc(+-inf) = 0,2 */ return 2*sign + 1/x; - - ix = (ix << 16) | (i0 >> 16); if (ix < 0x3ffed800) { /* |x| < 0.84375 */ if (ix < 0x3fbe0000) /* |x| < 2**-65 */ return 1.0 - x; @@ -358,6 +337,17 @@ long double erfcl(long double x) } if (ix < 0x4005d600) /* |x| < 107 */ return sign ? 2 - erfc2(ix,x) : erfc2(ix,x); - return sign ? 2 - 0x1p-16382L : 0x1p-16382L*0x1p-16382L; + y = 0x1p-16382L; + return sign ? 2 - y : y*y; +} +#elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 +// TODO: broken implementation to make things compile +long double erfl(long double x) +{ + return erf(x); +} +long double erfcl(long double x) +{ + return erfc(x); } #endif