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authorAndroid Build Coastguard Worker <android-build-coastguard-worker@google.com>2023-07-07 00:58:26 +0000
committerAndroid Build Coastguard Worker <android-build-coastguard-worker@google.com>2023-07-07 00:58:26 +0000
commit29109db5ff4f54e1b9694505aa34d54fda6ab6d2 (patch)
treeb6182e391304fb3a42c51d482dcf671f540f2363 /pl/math/tools/erfcf.sollya
parent5977ae8110ccfef79770bcc209243185bda69811 (diff)
parent172d24a7ae67ee7bae413d5a8618f1b5edc002be (diff)
downloadarm-optimized-routines-29109db5ff4f54e1b9694505aa34d54fda6ab6d2.tar.gz
Change-Id: I3d1ba62dd3ec4f1f932ef5e2ce24308402f6b85d
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+// polynomial for approximating erfc(x)*exp(x*x)
+//
+// Copyright (c) 2022-2023, Arm Limited.
+// SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception
+
+deg = 15; // poly degree
+
+// interval bounds
+a = 0x1.0p-26;
+b = 2;
+
+f = proc(y) {
+ return erfc(y) * exp(y*y);
+};
+
+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 {
+ p = roundcoefficients(approx(poly,i), [|D ...|]);
+ poly = poly + x^i*coeff(p,0);
+ print(i);
+};
+
+display = hexadecimal;
+print("rel error:", accurateinfnorm(1-poly(x)/f(x), [a;b], 30));
+print("in [",a,b,"]");
+print("coeffs:");
+for i from 0 to deg do coeff(poly,i);