Tropical algebra overloading: Difference between revisions
Add C# implementation
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5 ^ 7: 35.0
5 (X) ( 8 (+) 7 ) = 5 (X) 8 (+) 5 (X) 7 is TRUE
</pre>
=={{header|C#}}==
{{trans|Java}}
<syntaxhighlight lang="C#">
using System;
public class Program
{
public static void Main(string[] args)
{
var a = new Tropical(-2);
var b = new Tropical(-1);
var c = new Tropical(-0.5);
var d = new Tropical(-0.001);
var e = new Tropical(0);
var f = new Tropical(1.5);
var g = new Tropical(2);
var h = new Tropical(5);
var i = new Tropical(7);
var j = new Tropical(8);
var k = new Tropical(); // Represents -Inf
Console.WriteLine("2 x -2 = " + g.Multiply(a));
Console.WriteLine("-0.001 + -Inf = " + d.Add(k));
Console.WriteLine("0 x -Inf = " + e.Multiply(k));
Console.WriteLine("1.5 + -1 = " + f.Add(b));
Console.WriteLine("-0.5 x 0 = " + c.Multiply(e));
Console.WriteLine();
Console.WriteLine("5^7 = " + h.Power(7));
Console.WriteLine();
Console.WriteLine("5 * ( 8 + 7 ) = " + h.Multiply(j.Add(i)));
Console.WriteLine("5 * 8 + 5 * 7 = " + h.Multiply(j).Add(h.Multiply(i)));
}
}
public class Tropical
{
private double? number;
public Tropical(double number)
{
this.number = number;
}
public Tropical()
{
this.number = null; // Represents -Inf
}
public override string ToString()
{
return number.HasValue ? ((int)number.Value).ToString() : "-Inf";
}
public Tropical Add(Tropical other)
{
if (!number.HasValue) return other;
if (!other.number.HasValue) return this;
return number > other.number ? this : other;
}
public Tropical Multiply(Tropical other)
{
if (number.HasValue && other.number.HasValue)
{
return new Tropical(number.Value + other.number.Value);
}
return new Tropical();
}
public Tropical Power(int exponent)
{
if (exponent <= 0)
{
throw new ArgumentException("Power must be positive", nameof(exponent));
}
Tropical result = this;
for (int i = 1; i < exponent; i++)
{
result = result.Multiply(this);
}
return result;
}
}
</syntaxhighlight>
{{out}}
<pre>
2 x -2 = 0
-0.001 + -Inf = 0
0 x -Inf = -Inf
1.5 + -1 = 1
-0.5 x 0 = 0
5^7 = 35
5 * ( 8 + 7 ) = 13
5 * 8 + 5 * 7 = 13
</pre>
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