diff options
Diffstat (limited to 'sysdeps/aarch64/fpu/expf_advsimd.c')
-rw-r--r-- | sysdeps/aarch64/fpu/expf_advsimd.c | 133 |
1 files changed, 133 insertions, 0 deletions
diff --git a/sysdeps/aarch64/fpu/expf_advsimd.c b/sysdeps/aarch64/fpu/expf_advsimd.c new file mode 100644 index 0000000000..69d5d1ea77 --- /dev/null +++ b/sysdeps/aarch64/fpu/expf_advsimd.c @@ -0,0 +1,133 @@ +/* Single-precision vector (Advanced SIMD) exp function. + + Copyright (C) 2023 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + The GNU C 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. + + The GNU C 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 the GNU C Library; if not, see + <https://www.gnu.org/licenses/>. */ + +#include "v_math.h" + +static const struct data +{ + float32x4_t poly[5]; + float32x4_t shift, inv_ln2, ln2_hi, ln2_lo; + uint32x4_t exponent_bias; +#if !WANT_SIMD_EXCEPT + float32x4_t special_bound, scale_thresh; +#endif +} data = { + /* maxerr: 1.45358 +0.5 ulp. */ + .poly = { V4 (0x1.0e4020p-7f), V4 (0x1.573e2ep-5f), V4 (0x1.555e66p-3f), + V4 (0x1.fffdb6p-2f), V4 (0x1.ffffecp-1f) }, + .shift = V4 (0x1.8p23f), + .inv_ln2 = V4 (0x1.715476p+0f), + .ln2_hi = V4 (0x1.62e4p-1f), + .ln2_lo = V4 (0x1.7f7d1cp-20f), + .exponent_bias = V4 (0x3f800000), +#if !WANT_SIMD_EXCEPT + .special_bound = V4 (126.0f), + .scale_thresh = V4 (192.0f), +#endif +}; + +#define C(i) d->poly[i] + +#if WANT_SIMD_EXCEPT + +# define TinyBound v_u32 (0x20000000) /* asuint (0x1p-63). */ +# define BigBound v_u32 (0x42800000) /* asuint (0x1p6). */ +# define SpecialBound v_u32 (0x22800000) /* BigBound - TinyBound. */ + +static float32x4_t VPCS_ATTR NOINLINE +special_case (float32x4_t x, float32x4_t y, uint32x4_t cmp) +{ + /* If fenv exceptions are to be triggered correctly, fall back to the scalar + routine to special lanes. */ + return v_call_f32 (expf, x, y, cmp); +} + +#else + +# define SpecialOffset v_u32 (0x82000000) +# define SpecialBias v_u32 (0x7f000000) + +static float32x4_t VPCS_ATTR NOINLINE +special_case (float32x4_t poly, float32x4_t n, uint32x4_t e, uint32x4_t cmp1, + float32x4_t scale, const struct data *d) +{ + /* 2^n may overflow, break it up into s1*s2. */ + uint32x4_t b = vandq_u32 (vclezq_f32 (n), SpecialOffset); + float32x4_t s1 = vreinterpretq_f32_u32 (vaddq_u32 (b, SpecialBias)); + float32x4_t s2 = vreinterpretq_f32_u32 (vsubq_u32 (e, b)); + uint32x4_t cmp2 = vcagtq_f32 (n, d->scale_thresh); + float32x4_t r2 = vmulq_f32 (s1, s1); + float32x4_t r1 = vmulq_f32 (vfmaq_f32 (s2, poly, s2), s1); + /* Similar to r1 but avoids double rounding in the subnormal range. */ + float32x4_t r0 = vfmaq_f32 (scale, poly, scale); + float32x4_t r = vbslq_f32 (cmp1, r1, r0); + return vbslq_f32 (cmp2, r2, r); +} + +#endif + +float32x4_t VPCS_ATTR V_NAME_F1 (exp) (float32x4_t x) +{ + const struct data *d = ptr_barrier (&data); + float32x4_t n, r, r2, scale, p, q, poly, z; + uint32x4_t cmp, e; + +#if WANT_SIMD_EXCEPT + /* asuint(x) - TinyBound >= BigBound - TinyBound. */ + cmp = vcgeq_u32 ( + vsubq_u32 (vandq_u32 (vreinterpretq_u32_f32 (x), v_u32 (0x7fffffff)), + TinyBound), + SpecialBound); + float32x4_t xm = x; + /* If any lanes are special, mask them with 1 and retain a copy of x to allow + special case handler to fix special lanes later. This is only necessary if + fenv exceptions are to be triggered correctly. */ + if (__glibc_unlikely (v_any_u32 (cmp))) + x = vbslq_f32 (cmp, v_f32 (1), x); +#endif + + /* exp(x) = 2^n (1 + poly(r)), with 1 + poly(r) in [1/sqrt(2),sqrt(2)] + x = ln2*n + r, with r in [-ln2/2, ln2/2]. */ + z = vfmaq_f32 (d->shift, x, d->inv_ln2); + n = vsubq_f32 (z, d->shift); + r = vfmsq_f32 (x, n, d->ln2_hi); + r = vfmsq_f32 (r, n, d->ln2_lo); + e = vshlq_n_u32 (vreinterpretq_u32_f32 (z), 23); + scale = vreinterpretq_f32_u32 (vaddq_u32 (e, d->exponent_bias)); + +#if !WANT_SIMD_EXCEPT + cmp = vcagtq_f32 (n, d->special_bound); +#endif + + r2 = vmulq_f32 (r, r); + p = vfmaq_f32 (C (1), C (0), r); + q = vfmaq_f32 (C (3), C (2), r); + q = vfmaq_f32 (q, p, r2); + p = vmulq_f32 (C (4), r); + poly = vfmaq_f32 (p, q, r2); + + if (__glibc_unlikely (v_any_u32 (cmp))) +#if WANT_SIMD_EXCEPT + return special_case (xm, vfmaq_f32 (scale, poly, scale), cmp); +#else + return special_case (poly, n, e, cmp, scale, d); +#endif + + return vfmaq_f32 (scale, poly, scale); +} |