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FunctionComposition.ts
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FunctionComposition.ts
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/**
Given an array of functions [f1, f2, f3, ..., fn], return a new function fn that is the function composition of the array of functions.
The function composition of [f(x), g(x), h(x)] is fn(x) = f(g(h(x))).
The function composition of an empty list of functions is the identity function f(x) = x.
You may assume each function in the array accepts one integer as input and returns one integer as output.
Example 1:
Input: functions = [x => x + 1, x => x * x, x => 2 * x], x = 4
Output: 65
Explanation:
Evaluating from right to left ...
Starting with x = 4.
2 * (4) = 8
(8) * (8) = 64
(64) + 1 = 65
Example 2:
Input: functions = [x => 10 * x, x => 10 * x, x => 10 * x], x = 1
Output: 1000
Explanation:
Evaluating from right to left ...
10 * (1) = 10
10 * (10) = 100
10 * (100) = 1000
Example 3:
Input: functions = [], x = 42
Output: 42
Explanation:
The composition of zero functions is the identity function
**/
type F = (x: number) => number;
function compose(functions: F[]): F {
return function(x) {
for(let i=0;i<functions.length;i++) {
x = functions[functions.length-1-i](x);
}
return x;
}
};
/**
* const fn = compose([x => x + 1, x => 2 * x])
* fn(4) // 9
*/