1 /* 2 * Data used in single-precision tan(x) function. 3 * 4 * Copyright (c) 2022-2023, Arm Limited. 5 * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception 6 */ 7 8 #include "math_config.h" 9 10 const struct tanf_poly_data __tanf_poly_data = { 11 .poly_tan = { 12 /* Coefficients generated using: 13 poly = fpminimax((tan(sqrt(x))-sqrt(x))/x^(3/2), deg, [|single ...|], [a*a;b*b]); 14 optimize relative error 15 final prec : 23 bits 16 deg : 5 17 a : 0x1p-126 ^ 2 18 b : ((pi) / 0x1p2) ^ 2 19 dirty rel error: 0x1.f7c2e4p-25 20 dirty abs error: 0x1.f7c2ecp-25. */ 21 0x1.55555p-2, 22 0x1.11166p-3, 23 0x1.b88a78p-5, 24 0x1.7b5756p-6, 25 0x1.4ef4cep-8, 26 0x1.0e1e74p-7 27 }, 28 .poly_cotan = { 29 /* Coefficients generated using: 30 fpminimax(f(x) = (0x1p0 / tan(sqrt(x)) - 0x1p0 / sqrt(x)) / sqrt(x), deg, [|dtype ...|], [a;b]) 31 optimize a single polynomial 32 optimize absolute error 33 final prec : 23 bits 34 working prec : 128 bits 35 deg : 3 36 a : 0x1p-126 37 b : (pi) / 0x1p2 38 dirty rel error : 0x1.81298cp-25 39 dirty abs error : 0x1.a8acf4p-25. */ 40 -0x1.55555p-2, /* -0.33333325. */ 41 -0x1.6c23e4p-6, /* -2.2225354e-2. */ 42 -0x1.12dbap-9, /* -2.0969994e-3. */ 43 -0x1.05a1c2p-12, /* -2.495116e-4. */ 44 } 45 }; 46