/* Single-precision vector (Advanced SIMD) tanh function Copyright (C) 2024 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 . */ #include "v_expm1f_inline.h" static const struct data { struct v_expm1f_data expm1f_consts; uint32x4_t boring_bound, large_bound, onef; } data = { .expm1f_consts = V_EXPM1F_DATA, /* 0x1.205966p+3, above which tanhf rounds to 1 (or -1 for negative). */ .boring_bound = V4 (0x41102cb3), .large_bound = V4 (0x7f800000), .onef = V4 (0x3f800000), }; static float32x4_t NOINLINE VPCS_ATTR special_case (float32x4_t x, float32x4_t y, uint32x4_t special) { return v_call_f32 (tanhf, x, y, special); } /* Approximation for single-precision vector tanh(x), using a simplified version of expm1f. The maximum error is 2.58 ULP: _ZGVnN4v_tanhf (0x1.fa5eep-5) got 0x1.f9ba02p-5 want 0x1.f9ba08p-5. */ float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (tanh) (float32x4_t x) { const struct data *d = ptr_barrier (&data); uint32x4_t ix = vreinterpretq_u32_f32 (x); float32x4_t ax = vabsq_f32 (x); uint32x4_t iax = vreinterpretq_u32_f32 (ax); uint32x4_t sign = veorq_u32 (ix, iax); uint32x4_t is_boring = vcgtq_u32 (iax, d->boring_bound); float32x4_t boring = vreinterpretq_f32_u32 (vorrq_u32 (sign, d->onef)); #if WANT_SIMD_EXCEPT /* If fp exceptions are to be triggered properly, set all special and boring lanes to 0, which will trigger no exceptions, and fix them up later. */ uint32x4_t special = vorrq_u32 (vcgtq_u32 (iax, d->large_bound), vcltq_u32 (iax, v_u32 (0x34000000))); x = v_zerofy_f32 (x, is_boring); if (__glibc_unlikely (v_any_u32 (special))) x = v_zerofy_f32 (x, special); #else uint32x4_t special = vcgtq_u32 (iax, d->large_bound); #endif /* tanh(x) = (e^2x - 1) / (e^2x + 1). */ float32x4_t q = expm1f_inline (vmulq_n_f32 (x, 2), &d->expm1f_consts); float32x4_t y = vdivq_f32 (q, vaddq_f32 (q, v_f32 (2.0))); if (__glibc_unlikely (v_any_u32 (special))) return special_case (vreinterpretq_f32_u32 (ix), vbslq_f32 (is_boring, boring, y), special); return vbslq_f32 (is_boring, boring, y); } libmvec_hidden_def (V_NAME_F1 (tanh)) HALF_WIDTH_ALIAS_F1 (tanh)