diff options
Diffstat (limited to 'pl/math/v_sinhf_2u3.c')
-rw-r--r-- | pl/math/v_sinhf_2u3.c | 69 |
1 files changed, 69 insertions, 0 deletions
diff --git a/pl/math/v_sinhf_2u3.c b/pl/math/v_sinhf_2u3.c new file mode 100644 index 0000000..49cf078 --- /dev/null +++ b/pl/math/v_sinhf_2u3.c @@ -0,0 +1,69 @@ +/* + * 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 |