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authorElliott Hughes <enh@google.com>2023-01-25 16:31:42 +0000
committerElliott Hughes <enh@google.com>2023-01-25 18:11:56 +0000
commit62662f115a17a5548402fcd02f3b7e1b9b38e087 (patch)
tree945eb1832687ad5eb97c433013617dbe107718e5 /pl/math/tools/asinh.sollya
parent04d0bc466ce39c702459d77a15754a19533eaec9 (diff)
parent56e3bf05c19c4e28e1f5edd9093c712f16c5c32a (diff)
downloadarm-optimized-routines-62662f115a17a5548402fcd02f3b7e1b9b38e087.tar.gz
Upgrade ARM-software/optimized-routines to v23.01
This project was upgraded with external_updater. Usage: tools/external_updater/updater.sh update arm-optimized-routines For more info, check https://cs.android.com/android/platform/superproject/+/master:tools/external_updater/README.md Test: TreeHugger Change-Id: I03de0ecb0ea89c2a77b1c411685af09fd480b63e
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+// polynomial for approximating asinh(x)
+//
+// Copyright (c) 2022-2023, Arm Limited.
+// SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception
+
+// Polynomial is used in [2^-26, 1]. However it is least accurate close to 1, so
+// we use 2^-6 as the lower bound for coeff generation, which yields sufficiently
+// accurate results in [2^-26, 2^-6].
+a = 0x1p-6;
+b = 1.0;
+
+f = (asinh(sqrt(x)) - sqrt(x))/x^(3/2);
+
+approx = proc(poly, d) {
+ return remez(1 - poly(x)/f(x), deg-d, [a;b], x^d/f(x), 1e-10);
+};
+
+poly = 0;
+for i from 0 to deg do {
+ i;
+ p = roundcoefficients(approx(poly,i), [|D ...|]);
+ poly = poly + x^i*coeff(p,0);
+};
+
+
+display = hexadecimal;
+print("coeffs:");
+for i from 0 to deg do coeff(poly,i);