1 /* 2 * Single-precision SVE acosh(x) function. 3 * Copyright (c) 2023-2024, Arm Limited. 4 * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception 5 */ 6 7 #include "sv_math.h" 8 #include "test_sig.h" 9 #include "test_defs.h" 10 11 #define One 0x3f800000 12 #define Thres 0x20000000 /* asuint(0x1p64) - One. */ 13 14 #include "sv_log1pf_inline.h" 15 16 static svfloat32_t NOINLINE 17 special_case (svfloat32_t xm1, svfloat32_t tmp, svbool_t special) 18 { 19 svfloat32_t x = svadd_x (svptrue_b32 (), xm1, 1.0f); 20 svfloat32_t y = sv_log1pf_inline (tmp, svptrue_b32 ()); 21 return sv_call_f32 (acoshf, x, y, special); 22 } 23 24 /* Single-precision SVE acosh(x) routine. Implements the same algorithm as 25 vector acoshf and log1p. 26 27 Maximum error is 2.47 ULPs: 28 SV_NAME_F1 (acosh) (0x1.01ca76p+0) got 0x1.e435a6p-4 29 want 0x1.e435a2p-4. */ 30 svfloat32_t SV_NAME_F1 (acosh) (svfloat32_t x, const svbool_t pg) 31 { 32 svuint32_t ix = svreinterpret_u32 (x); 33 svbool_t special = svcmpge (pg, svsub_x (pg, ix, One), Thres); 34 35 svfloat32_t xm1 = svsub_x (pg, x, 1.0f); 36 svfloat32_t u = svmul_x (pg, xm1, svadd_x (pg, x, 1.0f)); 37 svfloat32_t tmp = svadd_x (pg, xm1, svsqrt_x (pg, u)); 38 39 if (unlikely (svptest_any (pg, special))) 40 return special_case (xm1, tmp, special); 41 return sv_log1pf_inline (tmp, pg); 42 } 43 44 TEST_SIG (SV, F, 1, acosh, 1.0, 10.0) 45 TEST_ULP (SV_NAME_F1 (acosh), 1.97) 46 TEST_DISABLE_FENV (SV_NAME_F1 (acosh)) 47 TEST_INTERVAL (SV_NAME_F1 (acosh), 0, 1, 500) 48 TEST_INTERVAL (SV_NAME_F1 (acosh), 1, 0x1p64, 100000) 49 TEST_INTERVAL (SV_NAME_F1 (acosh), 0x1p64, inf, 1000) 50 TEST_INTERVAL (SV_NAME_F1 (acosh), -0, -inf, 1000) 51 CLOSE_SVE_ATTR 52