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Diffstat (limited to 'contrib/arm-optimized-routines/math/aarch64/advsimd/expm1f.c')
-rw-r--r-- | contrib/arm-optimized-routines/math/aarch64/advsimd/expm1f.c | 82 |
1 files changed, 82 insertions, 0 deletions
diff --git a/contrib/arm-optimized-routines/math/aarch64/advsimd/expm1f.c b/contrib/arm-optimized-routines/math/aarch64/advsimd/expm1f.c new file mode 100644 index 000000000000..6d4431dcd8a5 --- /dev/null +++ b/contrib/arm-optimized-routines/math/aarch64/advsimd/expm1f.c @@ -0,0 +1,82 @@ +/* + * Single-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_expm1f_inline.h" + +static const struct data +{ + struct v_expm1f_data d; +#if WANT_SIMD_EXCEPT + uint32x4_t thresh; +#else + float32x4_t oflow_bound; +#endif +} data = { + .d = V_EXPM1F_DATA, +#if !WANT_SIMD_EXCEPT + /* Value above which expm1f(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 = V4 (0x1.5ebc4p+6), +#else + /* asuint(oflow_bound) - asuint(0x1p-23), shifted left by 1 for absolute + compare. */ + .thresh = V4 (0x1d5ebc40), +#endif +}; + +/* asuint(0x1p-23), shifted by 1 for abs compare. */ +#define TinyBound v_u32 (0x34000000 << 1) + +static float32x4_t VPCS_ATTR NOINLINE +special_case (float32x4_t x, uint32x4_t special, const struct data *d) +{ + return v_call_f32 ( + expm1f, x, expm1f_inline (v_zerofy_f32 (x, special), &d->d), special); +} + +/* Single-precision vector exp(x) - 1 function. + The maximum error is 1.62 ULP: + _ZGVnN4v_expm1f(0x1.85f83p-2) got 0x1.da9f4p-2 + want 0x1.da9f44p-2. */ +float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (expm1) (float32x4_t x) +{ + const struct data *d = ptr_barrier (&data); + +#if WANT_SIMD_EXCEPT + uint32x4_t ix = vreinterpretq_u32_f32 (x); + /* If fp exceptions are to be triggered correctly, fall back to scalar for + |x| < 2^-23, |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. */ + uint32x4_t special + = vcgeq_u32 (vsubq_u32 (vaddq_u32 (ix, ix), TinyBound), d->thresh); +#else + /* Handles very large values (+ve and -ve), +/-NaN, +/-Inf. */ + uint32x4_t special = vcagtq_f32 (x, d->oflow_bound); +#endif + + if (unlikely (v_any_u32 (special))) + return special_case (x, special, d); + + /* expm1(x) ~= p * t + (t - 1). */ + return expm1f_inline (x, &d->d); +} + +HALF_WIDTH_ALIAS_F1 (expm1) + +TEST_SIG (V, F, 1, expm1, -9.9, 9.9) +TEST_ULP (V_NAME_F1 (expm1), 1.13) +TEST_DISABLE_FENV_IF_NOT (V_NAME_F1 (expm1), WANT_SIMD_EXCEPT) +TEST_SYM_INTERVAL (V_NAME_F1 (expm1), 0, 0x1p-23, 1000) +TEST_INTERVAL (V_NAME_F1 (expm1), -0x1p-23, 0x1.5ebc4p+6, 1000000) +TEST_INTERVAL (V_NAME_F1 (expm1), -0x1p-23, -0x1.9bbabcp+6, 1000000) +TEST_INTERVAL (V_NAME_F1 (expm1), 0x1.5ebc4p+6, inf, 1000) +TEST_INTERVAL (V_NAME_F1 (expm1), -0x1.9bbabcp+6, -inf, 1000) |