diff options
Diffstat (limited to 'lib/mlibc/options/ansi/musl-generic-math/exp2f.c')
| -rw-r--r-- | lib/mlibc/options/ansi/musl-generic-math/exp2f.c | 126 |
1 files changed, 0 insertions, 126 deletions
diff --git a/lib/mlibc/options/ansi/musl-generic-math/exp2f.c b/lib/mlibc/options/ansi/musl-generic-math/exp2f.c deleted file mode 100644 index 296b634..0000000 --- a/lib/mlibc/options/ansi/musl-generic-math/exp2f.c +++ /dev/null @@ -1,126 +0,0 @@ -/* origin: FreeBSD /usr/src/lib/msun/src/s_exp2f.c */ -/*- - * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG> - * All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in the - * documentation and/or other materials provided with the distribution. - * - * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND - * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE - * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE - * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL - * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS - * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY - * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF - * SUCH DAMAGE. - */ - -#include "libm.h" - -#define TBLSIZE 16 - -static const float -redux = 0x1.8p23f / TBLSIZE, -P1 = 0x1.62e430p-1f, -P2 = 0x1.ebfbe0p-3f, -P3 = 0x1.c6b348p-5f, -P4 = 0x1.3b2c9cp-7f; - -static const double exp2ft[TBLSIZE] = { - 0x1.6a09e667f3bcdp-1, - 0x1.7a11473eb0187p-1, - 0x1.8ace5422aa0dbp-1, - 0x1.9c49182a3f090p-1, - 0x1.ae89f995ad3adp-1, - 0x1.c199bdd85529cp-1, - 0x1.d5818dcfba487p-1, - 0x1.ea4afa2a490dap-1, - 0x1.0000000000000p+0, - 0x1.0b5586cf9890fp+0, - 0x1.172b83c7d517bp+0, - 0x1.2387a6e756238p+0, - 0x1.306fe0a31b715p+0, - 0x1.3dea64c123422p+0, - 0x1.4bfdad5362a27p+0, - 0x1.5ab07dd485429p+0, -}; - -/* - * exp2f(x): compute the base 2 exponential of x - * - * Accuracy: Peak error < 0.501 ulp; location of peak: -0.030110927. - * - * Method: (equally-spaced tables) - * - * Reduce x: - * x = k + y, for integer k and |y| <= 1/2. - * Thus we have exp2f(x) = 2**k * exp2(y). - * - * Reduce y: - * y = i/TBLSIZE + z for integer i near y * TBLSIZE. - * Thus we have exp2(y) = exp2(i/TBLSIZE) * exp2(z), - * with |z| <= 2**-(TBLSIZE+1). - * - * We compute exp2(i/TBLSIZE) via table lookup and exp2(z) via a - * degree-4 minimax polynomial with maximum error under 1.4 * 2**-33. - * Using double precision for everything except the reduction makes - * roundoff error insignificant and simplifies the scaling step. - * - * This method is due to Tang, but I do not use his suggested parameters: - * - * Tang, P. Table-driven Implementation of the Exponential Function - * in IEEE Floating-Point Arithmetic. TOMS 15(2), 144-157 (1989). - */ -float exp2f(float x) -{ - double_t t, r, z; - union {float f; uint32_t i;} u = {x}; - union {double f; uint64_t i;} uk; - uint32_t ix, i0, k; - - /* Filter out exceptional cases. */ - ix = u.i & 0x7fffffff; - if (ix > 0x42fc0000) { /* |x| > 126 */ - if (ix > 0x7f800000) /* NaN */ - return x; - if (u.i >= 0x43000000 && u.i < 0x80000000) { /* x >= 128 */ - x *= 0x1p127f; - return x; - } - if (u.i >= 0x80000000) { /* x < -126 */ - if (u.i >= 0xc3160000 || (u.i & 0x0000ffff)) - FORCE_EVAL(-0x1p-149f/x); - if (u.i >= 0xc3160000) /* x <= -150 */ - return 0; - } - } else if (ix <= 0x33000000) { /* |x| <= 0x1p-25 */ - return 1.0f + x; - } - - /* Reduce x, computing z, i0, and k. */ - u.f = x + redux; - i0 = u.i; - i0 += TBLSIZE / 2; - k = i0 / TBLSIZE; - uk.i = (uint64_t)(0x3ff + k)<<52; - i0 &= TBLSIZE - 1; - u.f -= redux; - z = x - u.f; - /* Compute r = exp2(y) = exp2ft[i0] * p(z). */ - r = exp2ft[i0]; - t = r * z; - r = r + t * (P1 + z * P2) + t * (z * z) * (P3 + z * P4); - - /* Scale by 2**k */ - return r * uk.f; -} |