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Ingy döt Net 2023-07-01 11:58:00 -04:00
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Task/Church-numerals/C-sharp/church-numerals.cs Normal file
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using System;
public delegate Church Church(Church f);
public static class ChurchNumeral
{
public static readonly Church ChurchZero = _ => x => x;
public static readonly Church ChurchOne = f => f;
public static Church Successor(this Church n) => f => x => f(n(f)(x));
public static Church Add(this Church m, Church n) => f => x => m(f)(n(f)(x));
public static Church Multiply(this Church m, Church n) => f => m(n(f));
public static Church Exponent(this Church m, Church n) => n(m);
public static Church IsZero(this Church n) => n(_ => ChurchZero)(ChurchOne);
public static Church Predecessor(this Church n) =>
f => x => n(g => h => h(g(f)))(_ => x)(a => a);
public static Church Subtract(this Church m, Church n) => n(Predecessor)(m);
static Church looper(this Church v, Church d) =>
v(_ => v.divr(d).Successor())(ChurchZero);
static Church divr(this Church n, Church d) =>
n.Subtract(d).looper(d);
public static Church Divide(this Church dvdnd, Church dvsr) =>
(dvdnd.Successor()).divr(dvsr);
public static Church FromInt(int i) =>
i <= 0 ? ChurchZero : Successor(FromInt(i - 1));
public static int ToInt(this Church ch) {
int count = 0;
ch(x => { count++; return x; })(null);
return count;
}
public static void Main() {
Church c3 = FromInt(3);
Church c4 = c3.Successor();
Church c11 = FromInt(11);
Church c12 = c11.Successor();
int sum = c3.Add(c4).ToInt();
int product = c3.Multiply(c4).ToInt();
int exp43 = c4.Exponent(c3).ToInt();
int exp34 = c3.Exponent(c4).ToInt();
int tst0 = ChurchZero.IsZero().ToInt();
int pred4 = c4.Predecessor().ToInt();
int sub43 = c4.Subtract(c3).ToInt();
int div11by3 = c11.Divide(c3).ToInt();
int div12by3 = c12.Divide(c3).ToInt();
Console.Write($"{sum} {product} {exp43} {exp34} {tst0} ");
Console.WriteLine($"{pred4} {sub43} {div11by3} {div12by3}");
}
}