/* * Single-precision SVE asinh(x) function. * * Copyright (c) 2023-2024, Arm Limited. * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception */ #include "sv_math.h" #include "test_sig.h" #include "test_defs.h" #include "sv_log1pf_inline.h" #define BigBound 0x5f800000 /* asuint(0x1p64). */ static svfloat32_t NOINLINE special_case (svuint32_t iax, svuint32_t sign, svfloat32_t y, svbool_t special) { svfloat32_t x = svreinterpret_f32 (sveor_x (svptrue_b32 (), iax, sign)); y = svreinterpret_f32 ( svorr_x (svptrue_b32 (), sign, svreinterpret_u32 (y))); return sv_call_f32 (asinhf, x, y, special); } /* Single-precision SVE asinh(x) routine. Implements the same algorithm as vector asinhf and log1p. Maximum error is 1.92 ULPs: SV_NAME_F1 (asinh) (-0x1.0922ecp-1) got -0x1.fd0bccp-2 want -0x1.fd0bc8p-2. */ svfloat32_t SV_NAME_F1 (asinh) (svfloat32_t x, const svbool_t pg) { 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 special = svcmpge (pg, iax, BigBound); /* asinh(x) = log(x + sqrt(x * x + 1)). For positive x, asinh(x) = log1p(x + x * x / (1 + sqrt(x * x + 1))). */ svfloat32_t ax2 = svmul_x (pg, ax, ax); svfloat32_t d = svadd_x (pg, svsqrt_x (pg, svadd_x (pg, ax2, 1.0f)), 1.0f); svfloat32_t y = sv_log1pf_inline (svadd_x (pg, ax, svdiv_x (pg, ax2, d)), pg); if (unlikely (svptest_any (pg, special))) return special_case (iax, sign, y, special); return svreinterpret_f32 (svorr_x (pg, sign, svreinterpret_u32 (y))); } TEST_SIG (SV, F, 1, asinh, -10.0, 10.0) TEST_ULP (SV_NAME_F1 (asinh), 1.43) TEST_DISABLE_FENV (SV_NAME_F1 (asinh)) TEST_SYM_INTERVAL (SV_NAME_F1 (asinh), 0, 0x1p-12, 4000) TEST_SYM_INTERVAL (SV_NAME_F1 (asinh), 0x1p-12, 1.0, 20000) TEST_SYM_INTERVAL (SV_NAME_F1 (asinh), 1.0, 0x1p64, 20000) TEST_SYM_INTERVAL (SV_NAME_F1 (asinh), 0x1p64, inf, 4000) CLOSE_SVE_ATTR