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Diffstat (limited to 'math/aarch64/advsimd/expm1.c')
-rw-r--r-- | math/aarch64/advsimd/expm1.c | 77 |
1 files changed, 77 insertions, 0 deletions
diff --git a/math/aarch64/advsimd/expm1.c b/math/aarch64/advsimd/expm1.c new file mode 100644 index 000000000000..7535a1830427 --- /dev/null +++ b/math/aarch64/advsimd/expm1.c @@ -0,0 +1,77 @@ +/* + * Double-precision vector exp(x) - 1 function. + * + * Copyright (c) 2022-2024, Arm Limited. + * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception + */ + +#include "v_math.h" +#include "test_sig.h" +#include "test_defs.h" +#include "v_expm1_inline.h" + +static const struct data +{ + struct v_expm1_data d; +#if WANT_SIMD_EXCEPT + uint64x2_t thresh, tiny_bound; +#else + float64x2_t oflow_bound; +#endif +} data = { + .d = V_EXPM1_DATA, +#if WANT_SIMD_EXCEPT + /* asuint64(oflow_bound) - asuint64(0x1p-51), shifted left by 1 for abs + compare. */ + .thresh = V2 (0x78c56fa6d34b552), + /* asuint64(0x1p-51) << 1. */ + .tiny_bound = V2 (0x3cc0000000000000 << 1), +#else + /* Value above which expm1(x) should overflow. Absolute value of the + underflow bound is greater than this, so it catches both cases - there is + a small window where fallbacks are triggered unnecessarily. */ + .oflow_bound = V2 (0x1.62b7d369a5aa9p+9), +#endif +}; + +static float64x2_t VPCS_ATTR NOINLINE +special_case (float64x2_t x, uint64x2_t special, const struct data *d) +{ + return v_call_f64 (expm1, x, expm1_inline (v_zerofy_f64 (x, special), &d->d), + special); +} + +/* Double-precision vector exp(x) - 1 function. + The maximum error observed error is 2.05 ULP: + _ZGVnN2v_expm1(0x1.6329669eb8c87p-2) got 0x1.a8897eef87b34p-2 + want 0x1.a8897eef87b32p-2. */ +float64x2_t VPCS_ATTR V_NAME_D1 (expm1) (float64x2_t x) +{ + const struct data *d = ptr_barrier (&data); + +#if WANT_SIMD_EXCEPT + uint64x2_t ix = vreinterpretq_u64_f64 (x); + /* If fp exceptions are to be triggered correctly, fall back to scalar for + |x| < 2^-51, |x| > oflow_bound, Inf & NaN. Add ix to itself for + shift-left by 1, and compare with thresh which was left-shifted offline - + this is effectively an absolute compare. */ + uint64x2_t special + = vcgeq_u64 (vsubq_u64 (vaddq_u64 (ix, ix), d->tiny_bound), d->thresh); +#else + /* Large input, NaNs and Infs. */ + uint64x2_t special = vcageq_f64 (x, d->oflow_bound); +#endif + + if (unlikely (v_any_u64 (special))) + return special_case (x, special, d); + + /* expm1(x) ~= p * t + (t - 1). */ + return expm1_inline (x, &d->d); +} + +TEST_SIG (V, D, 1, expm1, -9.9, 9.9) +TEST_ULP (V_NAME_D1 (expm1), 1.56) +TEST_DISABLE_FENV_IF_NOT (V_NAME_D1 (expm1), WANT_SIMD_EXCEPT) +TEST_SYM_INTERVAL (V_NAME_D1 (expm1), 0, 0x1p-51, 1000) +TEST_SYM_INTERVAL (V_NAME_D1 (expm1), 0x1p-51, 0x1.62b7d369a5aa9p+9, 100000) +TEST_SYM_INTERVAL (V_NAME_D1 (expm1), 0x1.62b7d369a5aa9p+9, inf, 100) |