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authorAndroid Build Coastguard Worker <android-build-coastguard-worker@google.com>2023-07-07 00:57:30 +0000
committerAndroid Build Coastguard Worker <android-build-coastguard-worker@google.com>2023-07-07 00:57:30 +0000
commit0edd6499aaed16bf45de92bb0ad1c729486ce6f4 (patch)
treeb6182e391304fb3a42c51d482dcf671f540f2363 /pl/math/tools/atan.sollya
parentf2e7d2de0fe4c2bddb59992ba401391f38627a1e (diff)
parent172d24a7ae67ee7bae413d5a8618f1b5edc002be (diff)
downloadarm-optimized-routines-0edd6499aaed16bf45de92bb0ad1c729486ce6f4.tar.gz
Change-Id: I8753ae14d61308952964b5f87c7e48044f60727c
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+// polynomial for approximating atan(x) and atan2(y, x)
+//
+// Copyright (c) 2022-2023, Arm Limited.
+// SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception
+
+// atan is odd, so approximate with an odd polynomial:
+// x + ax^3 + bx^5 + cx^7 + ...
+// We generate a, b, c, ... such that we can approximate atan(x) by:
+// x + x^3 * (a + bx^2 + cx^4 + ...)
+
+// Assemble monomials
+deg = 20;
+mons = [|1,...,deg|];
+for i from 0 to deg-1 do mons[i] = mons[i] * 2 + 1;
+
+a = 0x1.0p-1022;
+b = 1;
+
+poly = fpminimax(atan(x)-x, mons, [|double ...|], [a;b]);
+
+display = hexadecimal;
+print("coeffs:");
+for i from 0 to deg-1 do coeff(poly,mons[i]);