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
special_case(svuint32_t iax,svuint32_t sign,svfloat32_t y,svbool_t special)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. */
SV_NAME_F1(asinh)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