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/*
* 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
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