/* * Single-precision vector sinh(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; #if WANT_SIMD_EXCEPT uint32x4_t tiny_bound, thresh; #else float32x4_t oflow_bound; #endif } data = { .expm1f_consts = V_EXPM1F_DATA, #if WANT_SIMD_EXCEPT /* 0x1.6a09e8p-32, below which expm1f underflows. */ .tiny_bound = V4 (0x2fb504f4), /* asuint(oflow_bound) - asuint(tiny_bound). */ .thresh = V4 (0x12fbbbb3), #else /* 0x1.61814ep+6, above which expm1f helper overflows. */ .oflow_bound = V4 (0x1.61814ep+6), #endif }; static float32x4_t NOINLINE VPCS_ATTR special_case (float32x4_t x, float32x4_t t, float32x4_t halfsign, uint32x4_t special) { return v_call_f32 (sinhf, x, vmulq_f32 (t, halfsign), special); } /* Approximation for vector single-precision sinh(x) using expm1. sinh(x) = (exp(x) - exp(-x)) / 2. The maximum error is 2.26 ULP: _ZGVnN4v_sinhf (0x1.e34a9ep-4) got 0x1.e469ep-4 want 0x1.e469e4p-4. */ float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (sinh) (float32x4_t x) { const struct data *d = ptr_barrier (&data); uint32x4_t ix = vreinterpretq_u32_f32 (x); float32x4_t ax = vabsq_f32 (x); float32x4_t halfsign = vreinterpretq_f32_u32 ( vbslq_u32 (v_u32 (0x80000000), ix, vreinterpretq_u32_f32 (v_f32 (0.5)))); #if WANT_SIMD_EXCEPT uint32x4_t special = vcgeq_u32 ( vsubq_u32 (vreinterpretq_u32_f32 (ax), d->tiny_bound), d->thresh); ax = v_zerofy_f32 (ax, special); #else uint32x4_t special = vcageq_f32 (x, d->oflow_bound); #endif /* Up to the point that expm1f overflows, we can use it to calculate sinhf using a slight rearrangement of the definition of asinh. This allows us to retain acceptable accuracy for very small inputs. */ float32x4_t t = expm1f_inline (ax, &d->expm1f_consts); t = vaddq_f32 (t, vdivq_f32 (t, vaddq_f32 (t, v_f32 (1.0)))); /* Fall back to the scalar variant for any lanes that should trigger an exception. */ if (unlikely (v_any_u32 (special))) return special_case (x, t, halfsign, special); return vmulq_f32 (t, halfsign); } HALF_WIDTH_ALIAS_F1 (sinh) TEST_SIG (V, F, 1, sinh, -10.0, 10.0) TEST_ULP (V_NAME_F1 (sinh), 1.76) TEST_DISABLE_FENV_IF_NOT (V_NAME_F1 (sinh), WANT_SIMD_EXCEPT) TEST_SYM_INTERVAL (V_NAME_F1 (sinh), 0, 0x2fb504f4, 1000) TEST_SYM_INTERVAL (V_NAME_F1 (sinh), 0x2fb504f4, 0x42b0c0a7, 100000) TEST_SYM_INTERVAL (V_NAME_F1 (sinh), 0x42b0c0a7, inf, 1000)