diff options
Diffstat (limited to 'libc-top-half/musl/src/math/exp2f.c')
-rw-r--r-- | libc-top-half/musl/src/math/exp2f.c | 69 |
1 files changed, 69 insertions, 0 deletions
diff --git a/libc-top-half/musl/src/math/exp2f.c b/libc-top-half/musl/src/math/exp2f.c new file mode 100644 index 0000000..0360482 --- /dev/null +++ b/libc-top-half/musl/src/math/exp2f.c @@ -0,0 +1,69 @@ +/* + * Single-precision 2^x function. + * + * Copyright (c) 2017-2018, Arm Limited. + * SPDX-License-Identifier: MIT + */ + +#include <math.h> +#include <stdint.h> +#include "libm.h" +#include "exp2f_data.h" + +/* +EXP2F_TABLE_BITS = 5 +EXP2F_POLY_ORDER = 3 + +ULP error: 0.502 (nearest rounding.) +Relative error: 1.69 * 2^-34 in [-1/64, 1/64] (before rounding.) +Wrong count: 168353 (all nearest rounding wrong results with fma.) +Non-nearest ULP error: 1 (rounded ULP error) +*/ + +#define N (1 << EXP2F_TABLE_BITS) +#define T __exp2f_data.tab +#define C __exp2f_data.poly +#define SHIFT __exp2f_data.shift_scaled + +static inline uint32_t top12(float x) +{ + return asuint(x) >> 20; +} + +float exp2f(float x) +{ + uint32_t abstop; + uint64_t ki, t; + double_t kd, xd, z, r, r2, y, s; + + xd = (double_t)x; + abstop = top12(x) & 0x7ff; + if (predict_false(abstop >= top12(128.0f))) { + /* |x| >= 128 or x is nan. */ + if (asuint(x) == asuint(-INFINITY)) + return 0.0f; + if (abstop >= top12(INFINITY)) + return x + x; + if (x > 0.0f) + return __math_oflowf(0); + if (x <= -150.0f) + return __math_uflowf(0); + } + + /* x = k/N + r with r in [-1/(2N), 1/(2N)] and int k. */ + kd = eval_as_double(xd + SHIFT); + ki = asuint64(kd); + kd -= SHIFT; /* k/N for int k. */ + r = xd - kd; + + /* exp2(x) = 2^(k/N) * 2^r ~= s * (C0*r^3 + C1*r^2 + C2*r + 1) */ + t = T[ki % N]; + t += ki << (52 - EXP2F_TABLE_BITS); + s = asdouble(t); + z = C[0] * r + C[1]; + r2 = r * r; + y = C[2] * r + 1; + y = z * r2 + y; + y = y * s; + return eval_as_float(y); +} |