diff options
Diffstat (limited to 'pl/math/sv_asinhf_2u5.c')
-rw-r--r-- | pl/math/sv_asinhf_2u5.c | 55 |
1 files changed, 55 insertions, 0 deletions
diff --git a/pl/math/sv_asinhf_2u5.c b/pl/math/sv_asinhf_2u5.c new file mode 100644 index 000000000000..1f1f6e5c846f --- /dev/null +++ b/pl/math/sv_asinhf_2u5.c @@ -0,0 +1,55 @@ +/* + * Single-precision SVE asinh(x) function. + * + * Copyright (c) 2023, Arm Limited. + * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception + */ + +#include "sv_math.h" +#include "include/mathlib.h" +#include "pl_sig.h" +#include "pl_test.h" + +#include "sv_log1pf_inline.h" + +#define BigBound (0x5f800000) /* asuint(0x1p64). */ + +static svfloat32_t NOINLINE +special_case (svfloat32_t x, svfloat32_t y, svbool_t special) +{ + return sv_call_f32 (asinhf, x, y, special); +} + +/* Single-precision SVE asinh(x) routine. Implements the same algorithm as + vector asinhf and log1p. + + Maximum error is 2.48 ULPs: + SV_NAME_F1 (asinh) (0x1.008864p-3) got 0x1.ffbbbcp-4 + want 0x1.ffbbb8p-4. */ +svfloat32_t SV_NAME_F1 (asinh) (svfloat32_t x, const svbool_t pg) +{ + svfloat32_t ax = svabs_x (pg, x); + svuint32_t iax = svreinterpret_u32 (ax); + svuint32_t sign = sveor_x (pg, svreinterpret_u32 (x), iax); + svbool_t special = svcmpge (pg, iax, BigBound); + + /* asinh(x) = log(x + sqrt(x * x + 1)). + For positive x, asinh(x) = log1p(x + x * x / (1 + sqrt(x * x + 1))). */ + svfloat32_t ax2 = svmul_x (pg, ax, ax); + svfloat32_t d = svadd_x (pg, svsqrt_x (pg, svadd_x (pg, ax2, 1.0f)), 1.0f); + svfloat32_t y + = sv_log1pf_inline (svadd_x (pg, ax, svdiv_x (pg, ax2, d)), pg); + + if (unlikely (svptest_any (pg, special))) + return special_case ( + x, svreinterpret_f32 (svorr_x (pg, sign, svreinterpret_u32 (y))), + special); + return svreinterpret_f32 (svorr_x (pg, sign, svreinterpret_u32 (y))); +} + +PL_SIG (SV, F, 1, asinh, -10.0, 10.0) +PL_TEST_ULP (SV_NAME_F1 (asinh), 1.98) +PL_TEST_SYM_INTERVAL (SV_NAME_F1 (asinh), 0, 0x1p-12, 4000) +PL_TEST_SYM_INTERVAL (SV_NAME_F1 (asinh), 0x1p-12, 1.0, 20000) +PL_TEST_SYM_INTERVAL (SV_NAME_F1 (asinh), 1.0, 0x1p64, 20000) +PL_TEST_SYM_INTERVAL (SV_NAME_F1 (asinh), 0x1p64, inf, 4000) |