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/*
* Single-precision vector asinh(x) function.
*
* Copyright (c) 2022-2023, Arm Limited.
* SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception
*/
#include "v_math.h"
#include "include/mathlib.h"
#include "pl_sig.h"
#include "pl_test.h"
#if V_SUPPORTED
#define SignMask v_u32 (0x80000000)
#define One v_f32 (1.0f)
#define BigBound v_u32 (0x5f800000) /* asuint(0x1p64). */
#define TinyBound v_u32 (0x30800000) /* asuint(0x1p-30). */
#include "v_log1pf_inline.h"
static NOINLINE v_f32_t
specialcase (v_f32_t x, v_f32_t y, v_u32_t special)
{
return v_call_f32 (asinhf, x, y, special);
}
/* Single-precision implementation of vector asinh(x), using vector log1p.
Worst-case error is 2.66 ULP, at roughly +/-0.25:
__v_asinhf(0x1.01b04p-2) got 0x1.fe163ep-3 want 0x1.fe1638p-3. */
VPCS_ATTR v_f32_t V_NAME (asinhf) (v_f32_t x)
{
v_u32_t ix = v_as_u32_f32 (x);
v_u32_t iax = ix & ~SignMask;
v_u32_t sign = ix & SignMask;
v_f32_t ax = v_as_f32_u32 (iax);
v_u32_t special = v_cond_u32 (iax >= BigBound);
#if WANT_SIMD_EXCEPT
/* Sidestep tiny and large values to avoid inadvertently triggering
under/overflow. */
special |= v_cond_u32 (iax < TinyBound);
if (unlikely (v_any_u32 (special)))
ax = v_sel_f32 (special, One, ax);
#endif
/* asinh(x) = log(x + sqrt(x * x + 1)).
For positive x, asinh(x) = log1p(x + x * x / (1 + sqrt(x * x + 1))). */
v_f32_t d = One + v_sqrt_f32 (ax * ax + One);
v_f32_t y = log1pf_inline (ax + ax * ax / d);
y = v_as_f32_u32 (sign | v_as_u32_f32 (y));
if (unlikely (v_any_u32 (special)))
return specialcase (x, y, special);
return y;
}
VPCS_ALIAS
PL_SIG (V, F, 1, asinh, -10.0, 10.0)
PL_TEST_ULP (V_NAME (asinhf), 2.17)
PL_TEST_EXPECT_FENV (V_NAME (asinhf), WANT_SIMD_EXCEPT)
PL_TEST_INTERVAL (V_NAME (asinhf), 0, 0x1p-12, 40000)
PL_TEST_INTERVAL (V_NAME (asinhf), 0x1p-12, 1.0, 40000)
PL_TEST_INTERVAL (V_NAME (asinhf), 1.0, 0x1p11, 40000)
PL_TEST_INTERVAL (V_NAME (asinhf), 0x1p11, inf, 40000)
PL_TEST_INTERVAL (V_NAME (asinhf), 0, -0x1p-12, 20000)
PL_TEST_INTERVAL (V_NAME (asinhf), -0x1p-12, -1.0, 20000)
PL_TEST_INTERVAL (V_NAME (asinhf), -1.0, -0x1p11, 20000)
PL_TEST_INTERVAL (V_NAME (asinhf), -0x1p11, -inf, 20000)
#endif
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