71 lines
2.2 KiB
C
71 lines
2.2 KiB
C
/*
|
|
* 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
|