1 /* 2 * Single-precision SVE asinh(x) function. 3 * 4 * Copyright (c) 2023-2024, Arm Limited. 5 * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception 6 */ 7 8 #include "sv_math.h" 9 #include "test_sig.h" 10 #include "test_defs.h" 11 12 #include "sv_log1pf_inline.h" 13 14 #define BigBound 0x5f800000 /* asuint(0x1p64). */ 15 16 static svfloat32_t NOINLINE 17 special_case (svuint32_t iax, svuint32_t sign, svfloat32_t y, svbool_t special) 18 { 19 svfloat32_t x = svreinterpret_f32 (sveor_x (svptrue_b32 (), iax, sign)); 20 y = svreinterpret_f32 ( 21 svorr_x (svptrue_b32 (), sign, svreinterpret_u32 (y))); 22 return sv_call_f32 (asinhf, x, y, special); 23 } 24 25 /* Single-precision SVE asinh(x) routine. Implements the same algorithm as 26 vector asinhf and log1p. 27 28 Maximum error is 1.92 ULPs: 29 SV_NAME_F1 (asinh) (-0x1.0922ecp-1) got -0x1.fd0bccp-2 30 want -0x1.fd0bc8p-2. */ 31 svfloat32_t SV_NAME_F1 (asinh) (svfloat32_t x, const svbool_t pg) 32 { 33 svfloat32_t ax = svabs_x (pg, x); 34 svuint32_t iax = svreinterpret_u32 (ax); 35 svuint32_t sign = sveor_x (pg, svreinterpret_u32 (x), iax); 36 svbool_t special = svcmpge (pg, iax, BigBound); 37 38 /* asinh(x) = log(x + sqrt(x * x + 1)). 39 For positive x, asinh(x) = log1p(x + x * x / (1 + sqrt(x * x + 1))). */ 40 svfloat32_t ax2 = svmul_x (pg, ax, ax); 41 svfloat32_t d = svadd_x (pg, svsqrt_x (pg, svadd_x (pg, ax2, 1.0f)), 1.0f); 42 svfloat32_t y 43 = sv_log1pf_inline (svadd_x (pg, ax, svdiv_x (pg, ax2, d)), pg); 44 45 if (unlikely (svptest_any (pg, special))) 46 return special_case (iax, sign, y, special); 47 return svreinterpret_f32 (svorr_x (pg, sign, svreinterpret_u32 (y))); 48 } 49 50 TEST_SIG (SV, F, 1, asinh, -10.0, 10.0) 51 TEST_ULP (SV_NAME_F1 (asinh), 1.43) 52 TEST_DISABLE_FENV (SV_NAME_F1 (asinh)) 53 TEST_SYM_INTERVAL (SV_NAME_F1 (asinh), 0, 0x1p-12, 4000) 54 TEST_SYM_INTERVAL (SV_NAME_F1 (asinh), 0x1p-12, 1.0, 20000) 55 TEST_SYM_INTERVAL (SV_NAME_F1 (asinh), 1.0, 0x1p64, 20000) 56 TEST_SYM_INTERVAL (SV_NAME_F1 (asinh), 0x1p64, inf, 4000) 57 CLOSE_SVE_ATTR 58