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Diffstat (limited to 'math/aarch64/advsimd/acosh.c')
-rw-r--r-- | math/aarch64/advsimd/acosh.c | 65 |
1 files changed, 65 insertions, 0 deletions
diff --git a/math/aarch64/advsimd/acosh.c b/math/aarch64/advsimd/acosh.c new file mode 100644 index 000000000000..55d8ed5a421e --- /dev/null +++ b/math/aarch64/advsimd/acosh.c @@ -0,0 +1,65 @@ +/* + * Double-precision vector acosh(x) function. + * Copyright (c) 2023-2024, 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" + +#define WANT_V_LOG1P_K0_SHORTCUT 1 +#include "v_log1p_inline.h" + +const static struct data +{ + struct v_log1p_data log1p_consts; + uint64x2_t one, thresh; +} data = { + .log1p_consts = V_LOG1P_CONSTANTS_TABLE, + .one = V2 (0x3ff0000000000000), + .thresh = V2 (0x1ff0000000000000) /* asuint64(0x1p511) - asuint64(1). */ +}; + +static float64x2_t NOINLINE VPCS_ATTR +special_case (float64x2_t x, float64x2_t y, uint64x2_t special, + const struct v_log1p_data *d) +{ + return v_call_f64 (acosh, x, log1p_inline (y, d), special); +} + +/* Vector approximation for double-precision acosh, based on log1p. + The largest observed error is 3.02 ULP in the region where the + argument to log1p falls in the k=0 interval, i.e. x close to 1: + _ZGVnN2v_acosh(0x1.00798aaf80739p+0) got 0x1.f2d6d823bc9dfp-5 + want 0x1.f2d6d823bc9e2p-5. */ +VPCS_ATTR float64x2_t V_NAME_D1 (acosh) (float64x2_t x) +{ + const struct data *d = ptr_barrier (&data); + uint64x2_t special + = vcgeq_u64 (vsubq_u64 (vreinterpretq_u64_f64 (x), d->one), d->thresh); + float64x2_t special_arg = x; + +#if WANT_SIMD_EXCEPT + if (unlikely (v_any_u64 (special))) + x = vbslq_f64 (special, vreinterpretq_f64_u64 (d->one), x); +#endif + + float64x2_t xm1 = vsubq_f64 (x, v_f64 (1.0)); + float64x2_t y = vaddq_f64 (x, v_f64 (1.0)); + y = vmulq_f64 (y, xm1); + y = vsqrtq_f64 (y); + y = vaddq_f64 (xm1, y); + + if (unlikely (v_any_u64 (special))) + return special_case (special_arg, y, special, &d->log1p_consts); + return log1p_inline (y, &d->log1p_consts); +} + +TEST_SIG (V, D, 1, acosh, 1.0, 10.0) +TEST_ULP (V_NAME_D1 (acosh), 2.53) +TEST_DISABLE_FENV_IF_NOT (V_NAME_D1 (acosh), WANT_SIMD_EXCEPT) +TEST_INTERVAL (V_NAME_D1 (acosh), 1, 0x1p511, 90000) +TEST_INTERVAL (V_NAME_D1 (acosh), 0x1p511, inf, 10000) +TEST_INTERVAL (V_NAME_D1 (acosh), 0, 1, 1000) +TEST_INTERVAL (V_NAME_D1 (acosh), -0, -inf, 10000) |