diff options
author | Zack Weinberg <zackw@panix.com> | 2017-06-08 15:39:03 -0400 |
---|---|---|
committer | Zack Weinberg <zackw@panix.com> | 2017-06-08 15:39:03 -0400 |
commit | 5046dbb4a7eba5eccfd258f92f4735c9ffc8d069 (patch) | |
tree | 4470480d904b65cf14ca524f96f79eca818c3eaf /sysdeps/ieee754/ldbl-128ibm/s_expm1l.c | |
parent | 199fc19d3aaaf57944ef036e15904febe877fc93 (diff) | |
download | glibc-zack/build-layout-experiment.tar glibc-zack/build-layout-experiment.tar.gz glibc-zack/build-layout-experiment.tar.bz2 glibc-zack/build-layout-experiment.zip |
Prepare for radical source tree reorganization.zack/build-layout-experiment
All top-level files and directories are moved into a temporary storage
directory, REORG.TODO, except for files that will certainly still
exist in their current form at top level when we're done (COPYING,
COPYING.LIB, LICENSES, NEWS, README), all old ChangeLog files (which
are moved to the new directory OldChangeLogs, instead), and the
generated file INSTALL (which is just deleted; in the new order, there
will be no generated files checked into version control).
Diffstat (limited to 'sysdeps/ieee754/ldbl-128ibm/s_expm1l.c')
-rw-r--r-- | sysdeps/ieee754/ldbl-128ibm/s_expm1l.c | 152 |
1 files changed, 0 insertions, 152 deletions
diff --git a/sysdeps/ieee754/ldbl-128ibm/s_expm1l.c b/sysdeps/ieee754/ldbl-128ibm/s_expm1l.c deleted file mode 100644 index 42d57c6eec..0000000000 --- a/sysdeps/ieee754/ldbl-128ibm/s_expm1l.c +++ /dev/null @@ -1,152 +0,0 @@ -/* expm1l.c - * - * Exponential function, minus 1 - * 128-bit long double precision - * - * - * - * SYNOPSIS: - * - * long double x, y, expm1l(); - * - * y = expm1l( x ); - * - * - * - * DESCRIPTION: - * - * Returns e (2.71828...) raised to the x power, minus one. - * - * Range reduction is accomplished by separating the argument - * into an integer k and fraction f such that - * - * x k f - * e = 2 e. - * - * An expansion x + .5 x^2 + x^3 R(x) approximates exp(f) - 1 - * in the basic range [-0.5 ln 2, 0.5 ln 2]. - * - * - * ACCURACY: - * - * Relative error: - * arithmetic domain # trials peak rms - * IEEE -79,+MAXLOG 100,000 1.7e-34 4.5e-35 - * - */ - -/* Copyright 2001 by Stephen L. Moshier - - This library is free software; you can redistribute it and/or - modify it under the terms of the GNU Lesser General Public - License as published by the Free Software Foundation; either - version 2.1 of the License, or (at your option) any later version. - - This library 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 - Lesser General Public License for more details. - - You should have received a copy of the GNU Lesser General Public - License along with this library; if not, see - <http://www.gnu.org/licenses/>. */ - -#include <errno.h> -#include <math.h> -#include <math_private.h> -#include <math_ldbl_opt.h> - -/* exp(x) - 1 = x + 0.5 x^2 + x^3 P(x)/Q(x) - -.5 ln 2 < x < .5 ln 2 - Theoretical peak relative error = 8.1e-36 */ - -static const long double - P0 = 2.943520915569954073888921213330863757240E8L, - P1 = -5.722847283900608941516165725053359168840E7L, - P2 = 8.944630806357575461578107295909719817253E6L, - P3 = -7.212432713558031519943281748462837065308E5L, - P4 = 4.578962475841642634225390068461943438441E4L, - P5 = -1.716772506388927649032068540558788106762E3L, - P6 = 4.401308817383362136048032038528753151144E1L, - P7 = -4.888737542888633647784737721812546636240E-1L, - Q0 = 1.766112549341972444333352727998584753865E9L, - Q1 = -7.848989743695296475743081255027098295771E8L, - Q2 = 1.615869009634292424463780387327037251069E8L, - Q3 = -2.019684072836541751428967854947019415698E7L, - Q4 = 1.682912729190313538934190635536631941751E6L, - Q5 = -9.615511549171441430850103489315371768998E4L, - Q6 = 3.697714952261803935521187272204485251835E3L, - Q7 = -8.802340681794263968892934703309274564037E1L, - /* Q8 = 1.000000000000000000000000000000000000000E0 */ -/* C1 + C2 = ln 2 */ - - C1 = 6.93145751953125E-1L, - C2 = 1.428606820309417232121458176568075500134E-6L, -/* ln 2^-114 */ - minarg = -7.9018778583833765273564461846232128760607E1L, big = 1e290L; - - -long double -__expm1l (long double x) -{ - long double px, qx, xx; - int32_t ix, lx, sign; - int k; - double xhi; - - /* Detect infinity and NaN. */ - xhi = ldbl_high (x); - EXTRACT_WORDS (ix, lx, xhi); - sign = ix & 0x80000000; - ix &= 0x7fffffff; - if (!sign && ix >= 0x40600000) - return __expl (x); - if (ix >= 0x7ff00000) - { - /* Infinity (which must be negative infinity). */ - if (((ix - 0x7ff00000) | lx) == 0) - return -1.0L; - /* NaN. Invalid exception if signaling. */ - return x + x; - } - - /* expm1(+- 0) = +- 0. */ - if ((ix | lx) == 0) - return x; - - /* Minimum value. */ - if (x < minarg) - return (4.0/big - 1.0L); - - /* Express x = ln 2 (k + remainder), remainder not exceeding 1/2. */ - xx = C1 + C2; /* ln 2. */ - px = __floorl (0.5 + x / xx); - k = px; - /* remainder times ln 2 */ - x -= px * C1; - x -= px * C2; - - /* Approximate exp(remainder ln 2). */ - px = (((((((P7 * x - + P6) * x - + P5) * x + P4) * x + P3) * x + P2) * x + P1) * x + P0) * x; - - qx = (((((((x - + Q7) * x - + Q6) * x + Q5) * x + Q4) * x + Q3) * x + Q2) * x + Q1) * x + Q0; - - xx = x * x; - qx = x + (0.5 * xx + xx * px / qx); - - /* exp(x) = exp(k ln 2) exp(remainder ln 2) = 2^k exp(remainder ln 2). - - We have qx = exp(remainder ln 2) - 1, so - exp(x) - 1 = 2^k (qx + 1) - 1 - = 2^k qx + 2^k - 1. */ - - px = __ldexpl (1.0L, k); - x = px * qx + (px - 1.0); - return x; -} -libm_hidden_def (__expm1l) -long_double_symbol (libm, __expm1l, expm1l); |