70 lines
2.2 KiB
C
70 lines
2.2 KiB
C
/*
|
|
* Single-precision vector sinh(x) function.
|
|
*
|
|
* Copyright (c) 2022-2023, Arm Limited.
|
|
* SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception
|
|
*/
|
|
|
|
#include "v_math.h"
|
|
#include "pl_sig.h"
|
|
#include "pl_test.h"
|
|
|
|
#if V_SUPPORTED
|
|
|
|
#include "v_expm1f_inline.h"
|
|
|
|
#define AbsMask 0x7fffffff
|
|
#define Half 0x3f000000
|
|
#define BigBound \
|
|
0x42b0c0a7 /* 0x1.61814ep+6, above which expm1f helper overflows. */
|
|
#define TinyBound \
|
|
0x2fb504f4 /* 0x1.6a09e8p-32, below which expm1f underflows. */
|
|
|
|
static NOINLINE VPCS_ATTR v_f32_t
|
|
special_case (v_f32_t x)
|
|
{
|
|
return v_call_f32 (sinhf, x, x, v_u32 (-1));
|
|
}
|
|
|
|
/* Approximation for vector single-precision sinh(x) using expm1.
|
|
sinh(x) = (exp(x) - exp(-x)) / 2.
|
|
The maximum error is 2.26 ULP:
|
|
__v_sinhf(0x1.e34a9ep-4) got 0x1.e469ep-4 want 0x1.e469e4p-4. */
|
|
VPCS_ATTR v_f32_t V_NAME (sinhf) (v_f32_t x)
|
|
{
|
|
v_u32_t ix = v_as_u32_f32 (x);
|
|
v_u32_t iax = ix & AbsMask;
|
|
v_f32_t ax = v_as_f32_u32 (iax);
|
|
v_u32_t sign = ix & ~AbsMask;
|
|
v_f32_t halfsign = v_as_f32_u32 (sign | Half);
|
|
|
|
#if WANT_SIMD_EXCEPT
|
|
v_u32_t special = v_cond_u32 ((iax - TinyBound) >= (BigBound - TinyBound));
|
|
#else
|
|
v_u32_t special = v_cond_u32 (iax >= BigBound);
|
|
#endif
|
|
|
|
/* Fall back to the scalar variant for all lanes if any of them should trigger
|
|
an exception. */
|
|
if (unlikely (v_any_u32 (special)))
|
|
return special_case (x);
|
|
|
|
/* Up to the point that expm1f overflows, we can use it to calculate sinhf
|
|
using a slight rearrangement of the definition of asinh. This allows us to
|
|
retain acceptable accuracy for very small inputs. */
|
|
v_f32_t t = expm1f_inline (ax);
|
|
return (t + t / (t + 1)) * halfsign;
|
|
}
|
|
VPCS_ALIAS
|
|
|
|
PL_SIG (V, F, 1, sinh, -10.0, 10.0)
|
|
PL_TEST_ULP (V_NAME (sinhf), 1.76)
|
|
PL_TEST_EXPECT_FENV (V_NAME (sinhf), WANT_SIMD_EXCEPT)
|
|
PL_TEST_INTERVAL (V_NAME (sinhf), 0, TinyBound, 1000)
|
|
PL_TEST_INTERVAL (V_NAME (sinhf), -0, -TinyBound, 1000)
|
|
PL_TEST_INTERVAL (V_NAME (sinhf), TinyBound, BigBound, 100000)
|
|
PL_TEST_INTERVAL (V_NAME (sinhf), -TinyBound, -BigBound, 100000)
|
|
PL_TEST_INTERVAL (V_NAME (sinhf), BigBound, inf, 1000)
|
|
PL_TEST_INTERVAL (V_NAME (sinhf), -BigBound, -inf, 1000)
|
|
#endif
|