Tropical algebra overloading: Difference between revisions

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→‎{{header|Wren}}: Changed to Wren S/H
(add RPL)
m (→‎{{header|Wren}}: Changed to Wren S/H)
 
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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>
 
Line 502 ⟶ 608:
 
=={{header|Java}}==
<syntaxhighlight lang="java">
 
import java.util.Optional;
 
Line 1,012 ⟶ 1,117:
</pre>
 
=={{header|RPL}}==
RPL does not support operator overloading so we need to use functions instead. As all stack-driven languages, RPL requires the user to deal with operator precedence.
MAXR EVAL ''''<span style="color:green>Inf'''</span>' STO
≪ 1 3 '''START''' ROT EVAL '''NEXT'''
'''IF''' DUP ABS '''<span style="color:green>Inf'''</span> == '''THEN''' SIGN ''''<span style="color:green>Inf'''</span>' * '''END'''
≫ ‘'''<span style="color:blue>TropOp'''</span>’ STO
≪ ≪ MAX ≫ '''<span style="color:blue>TropOp'''</span> ≫ ‘'''<span style="color:blue>TPLUS'''</span>’ STO
≪ ≪ + ≫ '''<span style="color:blue>TropOp'''</span> ≫ ‘'''<span style="color:blue>TMULT'''</span>’ STO
≪ ≪ * ≫ '''<span style="color:blue>TropOp'''</span> ≫ ‘'''<span style="color:blue>TPOWR'''</span>’ STO
 
2 -2 '''<span style="color:blue>TMULT'''</span>
-0.001 '-'''<span style="color:green>Inf''''</span> <span '''style="color:blue>TPLUS'''</span>
0 -<span style="color:green>Inf</span> <span style="color:blue>TMULT</span>
0 '-'''Inf'''' '''TMULT'''
1.5 -1 '''<span style="color:blue>TPLUS'''</span>
0.5 0 '''<span style="color:blue>TMULT'''</span>
5 7 <span style="color:blue>TPOWR</span>
8 7 '''TPLUS''' 5 '''TMULT'''
8 7 <span style="color:blue>TPLUS</span> 5 <span style="color:blue>TMULT</span>
5 8 '''TMULT''' 5 7 '''TMULT TPLUS'''
5 8 <span style="color:blue>TMULT</span> 5 7 <span style="color:blue>TMULT</span> <span style="color:blue>TPLUS</span>
 
{{out}}
<pre>
78: 0
67: -0.001
56: '-Inf'
45: 1.5
34: -0.5
3: 35
2: 13
1: 13
Line 1,154 ⟶ 1,262:
 
=={{header|Wren}}==
<syntaxhighlight lang="ecmascriptwren">var MinusInf = -1/0
 
class MaxTropical {
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