diff options
Diffstat (limited to 'contrib/arm-optimized-routines/math/aarch64/advsimd/asinhf.c')
-rw-r--r-- | contrib/arm-optimized-routines/math/aarch64/advsimd/asinhf.c | 89 |
1 files changed, 89 insertions, 0 deletions
diff --git a/contrib/arm-optimized-routines/math/aarch64/advsimd/asinhf.c b/contrib/arm-optimized-routines/math/aarch64/advsimd/asinhf.c new file mode 100644 index 000000000000..6a96f6ee9f4b --- /dev/null +++ b/contrib/arm-optimized-routines/math/aarch64/advsimd/asinhf.c @@ -0,0 +1,89 @@ +/* + * Single-precision vector asinh(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_log1pf_inline.h" + +const static struct data +{ + struct v_log1pf_data log1pf_consts; + float32x4_t one; + uint32x4_t big_bound; +#if WANT_SIMD_EXCEPT + uint32x4_t tiny_bound; +#endif +} data = { + .one = V4 (1), + .log1pf_consts = V_LOG1PF_CONSTANTS_TABLE, + .big_bound = V4 (0x5f800000), /* asuint(0x1p64). */ +#if WANT_SIMD_EXCEPT + .tiny_bound = V4 (0x30800000) /* asuint(0x1p-30). */ +#endif +}; + +static float32x4_t NOINLINE VPCS_ATTR +special_case (float32x4_t x, uint32x4_t sign, float32x4_t y, + uint32x4_t special, const struct data *d) +{ + return v_call_f32 ( + asinhf, x, + vreinterpretq_f32_u32 (veorq_u32 ( + sign, vreinterpretq_u32_f32 (log1pf_inline (y, &d->log1pf_consts)))), + special); +} + +/* Single-precision implementation of vector asinh(x), using vector log1p. + Worst-case error is 2.59 ULP: + _ZGVnN4v_asinhf(0x1.d86124p-3) got 0x1.d449bep-3 + want 0x1.d449c4p-3. */ +float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (asinh) (float32x4_t x) +{ + const struct data *dat = ptr_barrier (&data); + float32x4_t ax = vabsq_f32 (x); + uint32x4_t iax = vreinterpretq_u32_f32 (ax); + uint32x4_t special = vcgeq_u32 (iax, dat->big_bound); + uint32x4_t sign = veorq_u32 (vreinterpretq_u32_f32 (x), iax); + float32x4_t special_arg = x; + +#if WANT_SIMD_EXCEPT + /* Sidestep tiny and large values to avoid inadvertently triggering + under/overflow. */ + special = vorrq_u32 (special, vcltq_u32 (iax, dat->tiny_bound)); + if (unlikely (v_any_u32 (special))) + { + ax = v_zerofy_f32 (ax, special); + x = v_zerofy_f32 (x, special); + } +#endif + + /* asinh(x) = log(x + sqrt(x * x + 1)). + For positive x, asinh(x) = log1p(x + x * x / (1 + sqrt(x * x + 1))). */ + float32x4_t d + = vaddq_f32 (v_f32 (1), vsqrtq_f32 (vfmaq_f32 (dat->one, ax, ax))); + float32x4_t y = vaddq_f32 (ax, vdivq_f32 (vmulq_f32 (ax, ax), d)); + + if (unlikely (v_any_u32 (special))) + return special_case (special_arg, sign, y, special, dat); + return vreinterpretq_f32_u32 (veorq_u32 ( + sign, vreinterpretq_u32_f32 (log1pf_inline (y, &dat->log1pf_consts)))); +} + +HALF_WIDTH_ALIAS_F1 (asinh) + +TEST_SIG (V, F, 1, asinh, -10.0, 10.0) +TEST_ULP (V_NAME_F1 (asinh), 2.10) +TEST_DISABLE_FENV_IF_NOT (V_NAME_F1 (asinh), WANT_SIMD_EXCEPT) +TEST_INTERVAL (V_NAME_F1 (asinh), 0, 0x1p-12, 40000) +TEST_INTERVAL (V_NAME_F1 (asinh), 0x1p-12, 1.0, 40000) +TEST_INTERVAL (V_NAME_F1 (asinh), 1.0, 0x1p11, 40000) +TEST_INTERVAL (V_NAME_F1 (asinh), 0x1p11, inf, 40000) +TEST_INTERVAL (V_NAME_F1 (asinh), -0, -0x1p-12, 20000) +TEST_INTERVAL (V_NAME_F1 (asinh), -0x1p-12, -1.0, 20000) +TEST_INTERVAL (V_NAME_F1 (asinh), -1.0, -0x1p11, 20000) +TEST_INTERVAL (V_NAME_F1 (asinh), -0x1p11, -inf, 20000) |