diff options
Diffstat (limited to 'math/aarch64/advsimd/tanhf.c')
| -rw-r--r-- | math/aarch64/advsimd/tanhf.c | 81 |
1 files changed, 81 insertions, 0 deletions
diff --git a/math/aarch64/advsimd/tanhf.c b/math/aarch64/advsimd/tanhf.c new file mode 100644 index 000000000000..18fe93c7e7ba --- /dev/null +++ b/math/aarch64/advsimd/tanhf.c @@ -0,0 +1,81 @@ +/* + * Single-precision vector tanh(x) 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 expm1f_consts; + uint32x4_t boring_bound, large_bound, onef; +} data = { + .expm1f_consts = V_EXPM1F_DATA, + /* 0x1.205966p+3, above which tanhf rounds to 1 (or -1 for negative). */ + .boring_bound = V4 (0x41102cb3), + .large_bound = V4 (0x7f800000), +}; + +static float32x4_t NOINLINE VPCS_ATTR +special_case (float32x4_t x, uint32x4_t is_boring, float32x4_t boring, + float32x4_t q, uint32x4_t special) +{ + return v_call_f32 ( + tanhf, x, + vbslq_f32 (is_boring, boring, vdivq_f32 (q, vaddq_f32 (q, v_f32 (2.0)))), + special); +} + +/* Approximation for single-precision vector tanh(x), using a simplified + version of expm1f. The maximum error is 2.58 ULP: + _ZGVnN4v_tanhf (0x1.fa5eep-5) got 0x1.f9ba02p-5 + want 0x1.f9ba08p-5. */ +float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (tanh) (float32x4_t x) +{ + const struct data *d = ptr_barrier (&data); + + uint32x4_t ix = vreinterpretq_u32_f32 (x); + float32x4_t ax = vabsq_f32 (x); + uint32x4_t iax = vreinterpretq_u32_f32 (ax); + uint32x4_t sign = veorq_u32 (ix, iax); + uint32x4_t is_boring = vcgtq_u32 (iax, d->boring_bound); + /* expm1 exponent bias is 1.0f reinterpreted to int. */ + float32x4_t boring = vreinterpretq_f32_u32 (vorrq_u32 ( + sign, vreinterpretq_u32_s32 (d->expm1f_consts.exponent_bias))); + +#if WANT_SIMD_EXCEPT + /* If fp exceptions are to be triggered properly, set all special and boring + lanes to 0, which will trigger no exceptions, and fix them up later. */ + uint32x4_t special = vorrq_u32 (vcgtq_u32 (iax, d->large_bound), + vcltq_u32 (iax, v_u32 (0x34000000))); + x = v_zerofy_f32 (x, is_boring); + if (unlikely (v_any_u32 (special))) + x = v_zerofy_f32 (x, special); +#else + uint32x4_t special = vcgtq_u32 (iax, d->large_bound); +#endif + + /* tanh(x) = (e^2x - 1) / (e^2x + 1). */ + float32x4_t q = expm1f_inline (vmulq_n_f32 (x, 2), &d->expm1f_consts); + + if (unlikely (v_any_u32 (special))) + return special_case (vreinterpretq_f32_u32 (ix), is_boring, boring, q, + special); + + float32x4_t y = vdivq_f32 (q, vaddq_f32 (q, v_f32 (2.0))); + return vbslq_f32 (is_boring, boring, y); +} + +HALF_WIDTH_ALIAS_F1 (tanh) + +TEST_SIG (V, F, 1, tanh, -10.0, 10.0) +TEST_ULP (V_NAME_F1 (tanh), 2.09) +TEST_DISABLE_FENV_IF_NOT (V_NAME_F1 (tanh), WANT_SIMD_EXCEPT) +TEST_SYM_INTERVAL (V_NAME_F1 (tanh), 0, 0x1p-23, 1000) +TEST_SYM_INTERVAL (V_NAME_F1 (tanh), 0x1p-23, 0x1.205966p+3, 100000) +TEST_SYM_INTERVAL (V_NAME_F1 (tanh), 0x1.205966p+3, inf, 100) |
