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July 21, 2022 15:28
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Operators for composition of endomorphism in Dart
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// Here be dragons // | |
extension _EndomorphicComposition<T> on T Function(T) { | |
/// Mathematical composition of endomorphisms. | |
/// | |
/// In mathematics, function composition is an operation ∘ that takes two | |
/// functions ƒ and g, and produces a function h = g ∘ ƒ such that | |
/// h(x) = g(ƒ(x)). | |
/// | |
/// An endomorphism is any morphism ƒ whose domain is equal to its codomain | |
/// such that ƒ: a -> a or T ƒ(T) | |
T Function(T) operator <<(T Function(T) f) => (x) => f(this(x)); | |
/// Forward composition of endomorphisms. | |
T Function(T) operator >>(T Function(T) f) => (x) => this(f(x)); | |
} | |
int plusOne(int x) => x + 1; | |
int mulTwo(int x) => x * 2; | |
void thing() { | |
final xs = [1, 2, 3, 4]; | |
final ys = xs.map(plusOne >> mulTwo); // [4, 6, 8, 10] | |
final zs = xs.map(plusOne << mulTwo); // [3, 5, 7, 9] | |
print('$ys\n$zs'); | |
// imperatively | |
var yys = <int>[]; | |
for (final x in xs) { | |
// yys.add(mulTwo(plusOne(x))); | |
final y = plusOne(x); | |
final z = mulTwo(y); | |
yys.add(z); | |
} | |
} |
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