1 /* 2 * Single-precision SVE asinh(x) function. 3 * 4 * Copyright (c) 2023, Arm Limited. 5 * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception 6 */ 7 8 #include "sv_math.h" 9 #include "include/mathlib.h" 10 #include "pl_sig.h" 11 #include "pl_test.h" 12 13 #include "sv_log1pf_inline.h" 14 15 #define BigBound (0x5f800000) /* asuint(0x1p64). */ 16 17 static svfloat32_t NOINLINE 18 special_case (svfloat32_t x, svfloat32_t y, svbool_t special) 19 { 20 return sv_call_f32 (asinhf, x, y, special); 21 } 22 23 /* Single-precision SVE asinh(x) routine. Implements the same algorithm as 24 vector asinhf and log1p. 25 26 Maximum error is 2.48 ULPs: 27 SV_NAME_F1 (asinh) (0x1.008864p-3) got 0x1.ffbbbcp-4 28 want 0x1.ffbbb8p-4. */ 29 svfloat32_t SV_NAME_F1 (asinh) (svfloat32_t x, const svbool_t pg) 30 { 31 svfloat32_t ax = svabs_x (pg, x); 32 svuint32_t iax = svreinterpret_u32 (ax); 33 svuint32_t sign = sveor_x (pg, svreinterpret_u32 (x), iax); 34 svbool_t special = svcmpge (pg, iax, BigBound); 35 36 /* asinh(x) = log(x + sqrt(x * x + 1)). 37 For positive x, asinh(x) = log1p(x + x * x / (1 + sqrt(x * x + 1))). */ 38 svfloat32_t ax2 = svmul_x (pg, ax, ax); 39 svfloat32_t d = svadd_x (pg, svsqrt_x (pg, svadd_x (pg, ax2, 1.0f)), 1.0f); 40 svfloat32_t y 41 = sv_log1pf_inline (svadd_x (pg, ax, svdiv_x (pg, ax2, d)), pg); 42 43 if (unlikely (svptest_any (pg, special))) 44 return special_case ( 45 x, svreinterpret_f32 (svorr_x (pg, sign, svreinterpret_u32 (y))), 46 special); 47 return svreinterpret_f32 (svorr_x (pg, sign, svreinterpret_u32 (y))); 48 } 49 50 PL_SIG (SV, F, 1, asinh, -10.0, 10.0) 51 PL_TEST_ULP (SV_NAME_F1 (asinh), 1.98) 52 PL_TEST_SYM_INTERVAL (SV_NAME_F1 (asinh), 0, 0x1p-12, 4000) 53 PL_TEST_SYM_INTERVAL (SV_NAME_F1 (asinh), 0x1p-12, 1.0, 20000) 54 PL_TEST_SYM_INTERVAL (SV_NAME_F1 (asinh), 1.0, 0x1p64, 20000) 55 PL_TEST_SYM_INTERVAL (SV_NAME_F1 (asinh), 0x1p64, inf, 4000) 56