1// polynomial for approximating asinh(x)
2//
3// Copyright (c) 2022-2023, Arm Limited.
4// SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception
5
6deg = 9;
7
8a = 0x1.0p-12;
9b = 1.0;
10
11f = proc(y) {
12  return asinh(x);
13};
14
15approx = proc(poly, d) {
16  return remez(1 - poly(x)/f(x), deg-d, [a;b], x^d/f(x), 1e-10);
17};
18
19poly = x;
20for i from 2 to deg do {
21  p = roundcoefficients(approx(poly,i), [|SG ...|]);
22  poly = poly + x^i*coeff(p,0);
23};
24
25display = hexadecimal;
26print("rel error:", accurateinfnorm(1-poly(x)/f(x), [a;b], 30));
27print("in [",a,b,"]");
28print("coeffs:");
29for i from 2 to deg do coeff(poly,i);
30