/* * Single-precision SVE tanh(x) function. * * Copyright (c) 2023, Arm Limited. * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception */ #include "sv_math.h" #include "pl_sig.h" #include "pl_test.h" #include "sv_expm1f_inline.h" static const struct data { struct sv_expm1f_data expm1f_consts; uint32_t boring_bound, onef; } data = { .expm1f_consts = SV_EXPM1F_DATA, /* 0x1.205966p+3, above which tanhf rounds to 1 (or -1 for negative). */ .boring_bound = 0x41102cb3, .onef = 0x3f800000, }; static svfloat32_t NOINLINE special_case (svfloat32_t x, svfloat32_t y, svbool_t special) { return sv_call_f32 (tanhf, x, y, special); } /* Approximation for single-precision SVE tanh(x), using a simplified version of expm1f. The maximum error is 2.57 ULP: _ZGVsMxv_tanhf (0x1.fc1832p-5) got 0x1.fb71a4p-5 want 0x1.fb71aap-5. */ svfloat32_t SV_NAME_F1 (tanh) (svfloat32_t x, const svbool_t pg) { const struct data *d = ptr_barrier (&data); svfloat32_t ax = svabs_x (pg, x); svuint32_t iax = svreinterpret_u32 (ax); svuint32_t sign = sveor_x (pg, svreinterpret_u32 (x), iax); svbool_t is_boring = svcmpgt (pg, iax, d->boring_bound); svfloat32_t boring = svreinterpret_f32 (svorr_x (pg, sign, d->onef)); svbool_t special = svcmpgt (pg, iax, 0x7f800000); /* tanh(x) = (e^2x - 1) / (e^2x + 1). */ svfloat32_t q = expm1f_inline (svmul_x (pg, x, 2.0), pg, &d->expm1f_consts); svfloat32_t y = svdiv_x (pg, q, svadd_x (pg, q, 2.0)); if (unlikely (svptest_any (pg, special))) return special_case (x, svsel_f32 (is_boring, boring, y), special); return svsel_f32 (is_boring, boring, y); } PL_SIG (SV, F, 1, tanh, -10.0, 10.0) PL_TEST_ULP (SV_NAME_F1 (tanh), 2.07) PL_TEST_SYM_INTERVAL (SV_NAME_F1 (tanh), 0, 0x1p-23, 1000) PL_TEST_SYM_INTERVAL (SV_NAME_F1 (tanh), 0x1p-23, 0x1.205966p+3, 100000) PL_TEST_SYM_INTERVAL (SV_NAME_F1 (tanh), 0x1.205966p+3, inf, 100)