/* * Single-precision SVE acosh(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" #define One 0x3f800000 #define Thres 0x20000000 /* asuint(0x1p64) - One. */ #include "sv_log1pf_inline.h" static svfloat32_t NOINLINE special_case (svfloat32_t xm1, svfloat32_t tmp, svbool_t special) { svfloat32_t x = svadd_x (svptrue_b32 (), xm1, 1.0f); svfloat32_t y = sv_log1pf_inline (tmp, svptrue_b32 ()); return sv_call_f32 (acoshf, x, y, special); } /* Single-precision SVE acosh(x) routine. Implements the same algorithm as vector acoshf and log1p. Maximum error is 2.47 ULPs: SV_NAME_F1 (acosh) (0x1.01ca76p+0) got 0x1.e435a6p-4 want 0x1.e435a2p-4. */ svfloat32_t SV_NAME_F1 (acosh) (svfloat32_t x, const svbool_t pg) { svuint32_t ix = svreinterpret_u32 (x); svbool_t special = svcmpge (pg, svsub_x (pg, ix, One), Thres); svfloat32_t xm1 = svsub_x (pg, x, 1.0f); svfloat32_t u = svmul_x (pg, xm1, svadd_x (pg, x, 1.0f)); svfloat32_t tmp = svadd_x (pg, xm1, svsqrt_x (pg, u)); if (unlikely (svptest_any (pg, special))) return special_case (xm1, tmp, special); return sv_log1pf_inline (tmp, pg); } TEST_SIG (SV, F, 1, acosh, 1.0, 10.0) TEST_ULP (SV_NAME_F1 (acosh), 1.97) TEST_DISABLE_FENV (SV_NAME_F1 (acosh)) TEST_INTERVAL (SV_NAME_F1 (acosh), 0, 1, 500) TEST_INTERVAL (SV_NAME_F1 (acosh), 1, 0x1p64, 100000) TEST_INTERVAL (SV_NAME_F1 (acosh), 0x1p64, inf, 1000) TEST_INTERVAL (SV_NAME_F1 (acosh), -0, -inf, 1000) CLOSE_SVE_ATTR