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/*
* Single-precision SVE sinpi(x) function.
*
* Copyright (c) 2023, Arm Limited.
* SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception
*/
#include "mathlib.h"
#include "sv_math.h"
#include "pl_sig.h"
#include "pl_test.h"
#include "poly_sve_f32.h"
static const struct data
{
float poly[6];
} data = {
/* Taylor series coefficents for sin(pi * x). */
.poly = { 0x1.921fb6p1f, -0x1.4abbcep2f, 0x1.466bc6p1f, -0x1.32d2ccp-1f,
0x1.50783p-4f, -0x1.e30750p-8f },
};
/* A fast SVE implementation of sinpif.
Maximum error 2.48 ULP:
_ZGVsMxv_sinpif(0x1.d062b6p-2) got 0x1.fa8c06p-1
want 0x1.fa8c02p-1. */
svfloat32_t SV_NAME_F1 (sinpi) (svfloat32_t x, const svbool_t pg)
{
const struct data *d = ptr_barrier (&data);
/* range reduction into -1/2 .. 1/2
with n = rint(x) and r = r - n. */
svfloat32_t n = svrinta_x (pg, x);
svfloat32_t r = svsub_x (pg, x, n);
/* Result should be negated based on if n is odd or not. */
svuint32_t intn = svreinterpret_u32 (svcvt_s32_x (pg, n));
svuint32_t sign = svlsl_z (pg, intn, 31);
/* y = sin(r). */
svfloat32_t r2 = svmul_x (pg, r, r);
svfloat32_t y = sv_horner_5_f32_x (pg, r2, d->poly);
y = svmul_x (pg, y, r);
return svreinterpret_f32 (sveor_x (pg, svreinterpret_u32 (y), sign));
}
PL_SIG (SV, F, 1, sinpi, -0.9, 0.9)
PL_TEST_ULP (SV_NAME_F1 (sinpi), 1.99)
PL_TEST_SYM_INTERVAL (SV_NAME_F1 (sinpi), 0, 0x1p-31, 5000)
PL_TEST_SYM_INTERVAL (SV_NAME_F1 (sinpi), 0x1p-31, 0.5, 10000)
PL_TEST_SYM_INTERVAL (SV_NAME_F1 (sinpi), 0.5, 0x1p22f, 10000)
PL_TEST_SYM_INTERVAL (SV_NAME_F1 (sinpi), 0x1p22f, inf, 10000)
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