--- title: "reduce" subtitle: "Function in std::array" excerpt: "Take a starting value. Then, for each element of an array, calculate the next value, using the previous value and the element." layout: manual --- Take a starting value. Then, for each element of an array, calculate the next value, using the previous value and the element. ```kcl reduce( @array: [any], initial: any, f: fn(any, accum: any): any, ): any ``` ### Arguments | Name | Type | Description | Required | |----------|------|-------------|----------| | `array` | [`[any]`](/docs/kcl-std/types/std-types-any) | Each element of this array gets run through the function `f`, combined with the previous output from `f`, and then used for the next run. | Yes | | `initial` | [`any`](/docs/kcl-std/types/std-types-any) | The first time `f` is run, it will be called with the first item of `array` and this initial starting value. | Yes | | `f` | [`fn(any, accum: any): any`](/docs/kcl-std/types/std-types-fn) | Run once per item in the input `array`. This function takes an item from the array, and the previous output from `f` (or `initial` on the very first run). The final time `f` is run, its output is returned as the final output from `reduce`. | Yes | ### Returns [`any`](/docs/kcl-std/types/std-types-any) - The [`any`](/docs/kcl-std/types/std-types-any) type is the type of all possible values in KCL. I.e., if a function accepts an argument with type [`any`](/docs/kcl-std/types/std-types-any), then it can accept any value. ### Examples ```kcl // This function adds two numbers. fn add(@a, accum) { return a + accum } // This function adds an array of numbers. // It uses the `reduce` function, to call the `add` function on every // element of the `arr` parameter. The starting value is 0. fn sum(@arr) { return reduce(arr, initial = 0, f = add) } /* The above is basically like this pseudo-code: fn sum(arr): sumSoFar = 0 for i in arr: sumSoFar = add(i, sumSoFar) return sumSoFar */ // We use `assert` to check that our `sum` function gives the // expected result. It's good to check your work! assert( sum([1, 2, 3]), isEqualTo = 6, tolerance = 0.1, error = "1 + 2 + 3 summed is 6", ) ``` ![Rendered example of reduce 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```kcl // This example works just like the previous example above, but it uses // an anonymous `add` function as its parameter, instead of declaring a // named function outside. arr = [1, 2, 3] sum = reduce( arr, initial = 0, f = fn(@i, accum) { return i + accum }, ) // We use `assert` to check that our `sum` function gives the // expected result. It's good to check your work! assert( sum, isEqualTo = 6, tolerance = 0.1, error = "1 + 2 + 3 summed is 6", ) ``` ![Rendered example of reduce 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```kcl // Declare a function that sketches a decagon. fn decagon(@radius) { // Each side of the decagon is turned this many radians from the previous angle. stepAngle = (1 / 10 * TAU): number(rad) // Start the decagon sketch at this point. startOfDecagonSketch = startSketchOn(XY) |> startProfile(at = [cos(0) * radius, sin(0) * radius]) // Use a `reduce` to draw the remaining decagon sides. // For each number in the array 1..10, run the given function, // which takes a partially-sketched decagon and adds one more edge to it. fullDecagon = reduce( [1..10], initial = startOfDecagonSketch, f = fn(@i, accum) { // Draw one edge of the decagon. x = cos(stepAngle * i) * radius y = sin(stepAngle * i) * radius return line(accum, end = [x, y]) }, ) return fullDecagon } /* The `decagon` above is basically like this pseudo-code: fn decagon(radius): stepAngle = ((1/10) * TAU): number(rad) plane = startSketchOn(XY) startOfDecagonSketch = startProfile(plane, at = [(cos(0)*radius), (sin(0) * radius)]) // Here's the reduce part. partialDecagon = startOfDecagonSketch for i in [1..10]: x = cos(stepAngle * i) * radius y = sin(stepAngle * i) * radius partialDecagon = line(partialDecagon, end = [x, y]) fullDecagon = partialDecagon // it's now full return fullDecagon */ // Use the `decagon` function declared above, to sketch a decagon with radius 5. decagon(5.0) |> close() ``` ![Rendered example of reduce 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