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// Licensed to the .NET Foundation under one or more agreements.
// The .NET Foundation licenses this file to you under the MIT license.
// See the LICENSE file in the project root for more information.
//
// Simultaneous equations by Newton's method adapted from Conte and De Boor
// to solve F(X,Y)=0 and G(X,Y)=0
using Microsoft.Xunit.Performance;
using System;
using System.Runtime.CompilerServices;
using Xunit;
[assembly: OptimizeForBenchmarks]
[assembly: MeasureInstructionsRetired]
public static class NewtE
{
#if DEBUG
public const int Iterations = 1;
#else
public const int Iterations = 1000000;
#endif
[MethodImpl(MethodImplOptions.NoInlining)]
private static bool Bench()
{
double idgb, a, b, x, y, deltaX, deltaY;
a = 0;
b = 0;
x = 0;
y = 0;
idgb = 0;
if (idgb != 0)
{
System.Console.WriteLine("{0}, {1}, F(x,y) , G(x,y) \n", x, y);
}
for (int j = 1; j <= Iterations; j++)
{
x = 1.0;
y = (-2.0);
a = F(x, y);
b = G(x, y);
if (idgb != 0)
{
System.Console.WriteLine(" {0}, {1}, {2}, {3}\n", x, y, a, b);
}
for (int i = 1; i <= 20; i++)
{
deltaX = (-F(x, y) * GY(x, y) + G(x, y) * FY(x, y)) / (FX(x, y) * GY(x, y) - FY(x, y) * GX(x, y));
deltaY = (-G(x, y) * FX(x, y) + F(x, y) * GX(x, y)) / (FX(x, y) * GY(x, y) - FY(x, y) * GX(x, y));
x = x + deltaX;
y = y + deltaY;
a = F(x, y);
b = G(x, y);
if (idgb != 0)
{
System.Console.WriteLine("{0}, {1}, {2}, {3}, {4}\n", i, x, y, a, b);
}
if ((System.Math.Abs(deltaX) < 0.000001) && (System.Math.Abs(deltaY) < 0.000001) &&
(System.Math.Abs(a) < 0.000001) && (System.Math.Abs(b) < 0.000001))
{
goto L11;
}
}
if (idgb != 0)
{
System.Console.WriteLine("FAILED TO CONVERGE IN 20 ITERATIONS\n");
}
L11:
{
}
}
return true;
}
private static double F(double x, double y)
{
return ((x) + 3 * System.Math.Log(x) / System.Math.Log(10.0) - (y) * (y));
}
private static double G(double x, double y)
{
return (2 * (x) * (x) - (x) * (y) - 5 * (x) + 1);
}
private static double FX(double x, double y)
{
return (1 + 3 / (System.Math.Log(10.0) * (x)));
}
private static double FY(double x, double y)
{
return ((-2) * (y));
}
private static double GX(double x, double y)
{
return (4 * (x) - (y) - 5);
}
private static double GY(double x, double y)
{
return (-(x));
}
[Benchmark]
public static void Test()
{
foreach (var iteration in Benchmark.Iterations)
{
using (iteration.StartMeasurement())
{
Bench();
}
}
}
private static bool TestBase()
{
bool result = Bench();
return result;
}
public static int Main()
{
bool result = TestBase();
return (result ? 100 : -1);
}
}
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