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/*
* Data used in single-precision tan(x) function.
*
* Copyright (c) 2022, Arm Limited.
* SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception
*/
#include "math_config.h"
const struct tanf_poly_data __tanf_poly_data = {
.poly_tan = {
/* Coefficients generated using:
remez(f(x) = (tan(sqrt(x)) - sqrt(x)) / (x * sqrt(x)), deg, [a;b], 1, 1e-16, [|dtype ...|])
optimize each coefficient
optimize relative error
final prec : 23 bits
working prec : 128 bits
deg : 6
a : 0x1p-126
b : (pi) / 0x1p2
dirty rel error : 0x1.df324p-26
dirty abs error : 0x1.df3244p-26. */
0x1.555558p-2, /* 0.3333334. */
0x1.110e1cp-3, /* 0.1333277. */
0x1.bb0e7p-5, /* 5.408403e-2. */
0x1.5826c8p-6, /* 2.100534e-2. */
0x1.8426a6p-7, /* 1.1845428e-2. */
-0x1.7a5adcp-10, /* -1.4433095e-3. */
0x1.5574dap-8, /* 5.210212e-3. */
},
.poly_cotan = {
/* Coefficients generated using:
fpminimax(f(x) = (0x1p0 / tan(sqrt(x)) - 0x1p0 / sqrt(x)) / sqrt(x), deg, [|dtype ...|], [a;b])
optimize a single polynomial
optimize absolute error
final prec : 23 bits
working prec : 128 bits
deg : 3
a : 0x1p-126
b : (pi) / 0x1p2
dirty rel error : 0x1.81298cp-25
dirty abs error : 0x1.a8acf4p-25. */
-0x1.55555p-2, /* -0.33333325. */
-0x1.6c23e4p-6, /* -2.2225354e-2. */
-0x1.12dbap-9, /* -2.0969994e-3. */
-0x1.05a1c2p-12, /* -2.495116e-4. */
}
};
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