/* * Helper for SVE routines which calculate log(1 + x) and do not * need special-case handling * * Copyright (c) 2023, Arm Limited. * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception */ #ifndef PL_MATH_SV_LOG1PF_INLINE_H #define PL_MATH_SV_LOG1PF_INLINE_H #include "v_math.h" #include "math_config.h" #include "poly_sve_f32.h" static const struct sv_log1pf_data { float32_t poly[9]; float32_t ln2; float32_t scale_back; } sv_log1pf_data = { /* Polynomial generated using FPMinimax in [-0.25, 0.5]. */ .poly = { -0x1p-1f, 0x1.5555aap-2f, -0x1.000038p-2f, 0x1.99675cp-3f, -0x1.54ef78p-3f, 0x1.28a1f4p-3f, -0x1.0da91p-3f, 0x1.abcb6p-4f, -0x1.6f0d5ep-5f }, .scale_back = 0x1.0p-23f, .ln2 = 0x1.62e43p-1f, }; static inline svfloat32_t eval_poly (svfloat32_t m, const float32_t *c, svbool_t pg) { svfloat32_t p_12 = svmla_x (pg, sv_f32 (c[0]), m, sv_f32 (c[1])); svfloat32_t m2 = svmul_x (pg, m, m); svfloat32_t q = svmla_x (pg, m, m2, p_12); svfloat32_t p = sv_pw_horner_6_f32_x (pg, m, m2, c + 2); p = svmul_x (pg, m2, p); return svmla_x (pg, q, m2, p); } static inline svfloat32_t sv_log1pf_inline (svfloat32_t x, svbool_t pg) { const struct sv_log1pf_data *d = ptr_barrier (&sv_log1pf_data); svfloat32_t m = svadd_x (pg, x, 1.0f); svint32_t ks = svsub_x (pg, svreinterpret_s32 (m), svreinterpret_s32 (svdup_f32 (0.75f))); ks = svand_x (pg, ks, 0xff800000); svuint32_t k = svreinterpret_u32 (ks); svfloat32_t s = svreinterpret_f32 ( svsub_x (pg, svreinterpret_u32 (svdup_f32 (4.0f)), k)); svfloat32_t m_scale = svreinterpret_f32 (svsub_x (pg, svreinterpret_u32 (x), k)); m_scale = svadd_x (pg, m_scale, svmla_x (pg, sv_f32 (-1.0f), sv_f32 (0.25f), s)); svfloat32_t p = eval_poly (m_scale, d->poly, pg); svfloat32_t scale_back = svmul_x (pg, svcvt_f32_x (pg, k), d->scale_back); return svmla_x (pg, p, scale_back, d->ln2); } #endif // PL_MATH_SV_LOG1PF_INLINE_H