X-Git-Url: http://erislabs.net/gitweb/?a=blobdiff_plain;f=lib%2Flogl.c;h=42c50cb1ac1a23a3758522c90dfa4ccb41d9b598;hb=2895f9dcb663cc11cd70395c98442574bc5df5fd;hp=9048e455a7e1b987079a915e173c10d78a5a82f5;hpb=5657b2536d242966c41c268b9ab4fe8df727bb13;p=gnulib.git diff --git a/lib/logl.c b/lib/logl.c index 9048e455a..42c50cb1a 100644 --- a/lib/logl.c +++ b/lib/logl.c @@ -1,4 +1,34 @@ -/* logll.c +/* Copyright 2001 by Stephen L. Moshier + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation; either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see . */ + +#include + +/* Specification. */ +#include + +#if HAVE_SAME_LONG_DOUBLE_AS_DOUBLE + +long double +logl (long double x) +{ + return log (x); +} + +#else + +/* logll.c * * Natural logarithm for 128-bit long double precision. * @@ -42,12 +72,6 @@ * */ -#include - -#include "mathl.h" - -/* Copyright 2001 by Stephen L. Moshier */ - /* log(1+x) = x - .5 x^2 + x^3 l(x) -.0078125 <= x <= +.0078125 peak relative error 1.2e-37 */ @@ -108,7 +132,7 @@ static const long double logtbl[92] = { -2.7902661731604211834685052867305795169688E-4L, -1.2335696813916860754951146082826952093496E-4L, -3.0677461025892873184042490943581654591817E-5L, -#define ZERO logtbl[38] +# define ZERO logtbl[38] 0.0000000000000000000000000000000000000000E0L, -3.0359557945051052537099938863236321874198E-5L, -1.2081346403474584914595395755316412213151E-4L, @@ -171,28 +195,37 @@ static const long double ln2b = 1.4286068203094172321214581765680755001344E-6L; long double -logl(long double x) +logl (long double x) { - long double z, y, w, u, t; - unsigned int m; + long double z, y, w; + long double t; int k, e; /* Check for IEEE special cases. */ + /* log(NaN) = NaN. */ + if (isnanl (x)) + { + return x; + } /* log(0) = -infinity. */ if (x == 0.0L) - return -0.5L / 0.0L; - + { + return -0.5L / ZERO; + } /* log ( x < 0 ) = NaN */ if (x < 0.0L) - return (x - x) / (x - x); - - /* log (infinity or NaN) */ - if (x + x == x || x != x) - return x + x; + { + return (x - x) / ZERO; + } + /* log (infinity) */ + if (x + x == x) + { + return x + x; + } /* Extract exponent and reduce domain to 0.703125 <= u < 1.40625 */ - x = frexpl(x, &e); + x = frexpl (x, &e); if (x < 0.703125L) { x += x; @@ -202,13 +235,13 @@ logl(long double x) /* On this interval the table is not used due to cancellation error. */ if ((x <= 1.0078125L) && (x >= 0.9921875L)) { + z = x - 1.0L; k = 64; t = 1.0L; - z = x - 1.0L; } else { - k = floorl((x - 0.5L) * 128.0L); + k = floorl ((x - 0.5L) * 128.0L); t = 0.5L + k / 128.0L; z = (x - t) / t; } @@ -216,17 +249,17 @@ logl(long double x) /* Series expansion of log(1+z). */ w = z * z; y = ((((((((((((l15 * z - + l14) * z - + l13) * z - + l12) * z - + l11) * z - + l10) * z - + l9) * z - + l8) * z - + l7) * z - + l6) * z - + l5) * z - + l4) * z + + l14) * z + + l13) * z + + l12) * z + + l11) * z + + l10) * z + + l9) * z + + l8) * z + + l7) * z + + l6) * z + + l5) * z + + l4) * z + l3) * z * w; y -= 0.5 * w; y += e * ln2b; /* Base 2 exponent offset times ln(2). */ @@ -236,3 +269,5 @@ logl(long double x) y += e * ln2a; return y; } + +#endif