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  • Can you dynamically combine multiple conditional functions into one in Python?

    - by erich
    I'm curious if it's possible to take several conditional functions and create one function that checks them all (e.g. the way a generator takes a procedure for iterating through a series and creates an iterator). The basic usage case would be when you have a large number of conditional parameters (e.g. "max_a", "min_a", "max_b", "min_b", etc.), many of which could be blank. They would all be passed to this "function creating" function, which would then return one function that checked them all. Below is an example of a naive way of doing what I'm asking: def combining_function(max_a, min_a, max_b, min_b, ...): f_array = [] if max_a is not None: f_array.append( lambda x: x.a < max_a ) if min_a is not None: f_array.append( lambda x: x.a > min_a ) ... return lambda x: all( [ f(x) for f in f_array ] ) What I'm wondering is what is the most efficient to achieve what's being done above? It seems like executing a function call for every function in f_array would create a decent amount of overhead, but perhaps I'm engaging in premature/unnecessary optimization. Regardless, I'd be interested to see if anyone else has come across usage cases like this and how they proceeded. Also, if this isn't possible in Python, is it possible in other (perhaps more functional) languages?

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  • How can I write simulations in Erlang?

    - by rick
    Hi guys, I want to do some numerical stuff in Erlang like this: You've got an array with the following values: [2,3,4] In each iteration, you calculate 0.1 * [n-1] + 0.7 *[n] + 0.2 * [n+1] This becomes the new [n]. If n == 0 then [n-1] = 0. If [n] == length of array then [n] = 0. So I try an example: [2,3,4] calculations: 0.1 * 0 + 0.7 * 2 + 0.2 * 3 = 2 0.1 * 2 + 0.7 * 3 + 0.2 * 4 = 3.1 0.1 * 3 + 0.7 * 4 + 0.2 * 0 = 3.1 So [2,3,4] becomes to [2, 3.1, 3.1] after one iteration. I know how to write this in a non-functional language like C. But I have difficulties to imagine, how this could be done in Erlang. I found some tutorials on how you read a file to a list. So this is not the problem. How can I spawn different Erlang processes that each process has one element of the list? How can I do calculations by communicating with 'the neighbors', so that the neighbors know where their neigbors are generically, without specifying each? How can I collect the data into a list? Eventually, is it possible to solve that problem in Erlang at all? Thanks for your help.

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  • Assign a static function to a variable in PHP

    - by Felipe Almeida
    I would like to assign a static function to a variable so that I can send it around as a parameter. For example: class Foo{ private static function privateStaticFunction($arg1,$arg2){ //compute stuff on the args } public static function publicStaticFunction($foo,$bar){ //works $var = function(){ //do stuff }; //also works $var = function($someArg,$someArg2){ //do stuff }; //Fatal error: Undefined class constant 'privateStaticFunction' $var = self::privateStaticMethod; //same error $var = Foo::privateStaticFunction; //compiles, but errors when I try to run $var() somewhere else, as expected //Fatal error: Call to private method Foo::privateStaticMethod() from context '' $var = function(){ return Foo::privateStaticMethod(); }; } } I've tried a few more variations but none of them worked. I don't even expect this sort of functional hacking to work with PHP but hey, who knows? Is it possible to do that in PHP or will I need to come up with some hack using eval? P.S.: LawnGnome on ##php mentioned something about it being possible to do what I want using array('Foo','privateStaticMethod') but I didn't understand what he meant and I didn't press him further as he looked busy.

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  • J: Self-reference in bubble sort tacit implementation

    - by Yasir Arsanukaev
    Hello people! Since I'm beginner in J I've decided to solve a simple task using this language, in particular implementing the bubblesort algorithm. I know it's not idiomatically to solve such kind of problem in functional languages, because it's naturally solved using array element transposition in imperative languages like C, rather than constructing modified list in declarative languages. However this is the code I've written: (((<./@(2&{.)), $:@((>./@(2&{.)),2&}.)) ^: (1<#)) ^: # Let's apply it to an array: (((<./@(2&{.)), $:@((>./@(2&{.)),2&}.)) ^: (1<#)) ^: # 5 3 8 7 2 2 3 5 7 8 The thing that confuses me is $: referring to the statement within the outermost parentheses. Help says that: $: denotes the longest verb that contains it. The other book (~ 300 KiB) says: 3+4 7 5*20 100 Symbols like + and * for plus and times in the above phrases are called verbs and represent functions. You may have more than one verb in a J phrase, in which case it is constructed like a sentence in simple English by reading from left to right, that is 4+6%2 means 4 added to whatever follows, namely 6 divided by 2. Let's rewrite my code snippet omitting outermost ()s: ((<./@(2&{.)), $:@((>./@(2&{.)),2&}.)) ^: (1<#) ^: # 5 3 8 7 2 2 3 5 7 8 Reuslts are the same. I couldn't explain myself why this works, why only ((<./@(2&{.)), $:@((>./@(2&{.)),2&}.)) ^: (1<#) is treated as the longest verb for $: but not the whole expression ((<./@(2&{.)), $:@((>./@(2&{.)),2&}.)) ^: (1<#) ^: # and not just (<./@(2&{.)), $:@((>./@(2&{.)),2&}.), because if ((<./@(2&{.)), $:@((>./@(2&{.)),2&}.)) ^: (1<#) is a verb, it should also form another verb after conjunction with #, i. e. one might treat the whole sentence (first snippet) as a verb. Probably there's some limit for the verb length limited by one conjunction. Look at the following code (from here): factorial =: (* factorial@<:) ^: (1&<) factorial 4 24 factorial within expression refers to the whole function, i. e. (* factorial@<:) ^: (1&<). Following this example I've used a function name instead of $:: bubblesort =: (((<./@(2&{.)), bubblesort@((>./@(2&{.)),2&}.)) ^: (1<#)) ^: # bubblesort 5 3 8 7 2 2 3 5 7 8 I expected bubblesort to refer to the whole function, but it doesn't seem true for me since the result is correct. Also I'd like to see other implementations if you have ones, even slightly refactored. Thanks.

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  • Java - is this an idiom or pattern, behavior classes with no state

    - by Berlin Brown
    I am trying to incorporate more functional programming idioms into my java development. One pattern that I like the most and avoids side effects is building classes that have behavior but they don't necessarily have any state. The behavior is locked into the methods but they only act on the parameters passed in. The code below is code I am trying to avoid: public class BadObject { private Map<String, String> data = new HashMap<String, String>(); public BadObject() { data.put("data", "data"); } /** * Act on the data class. But this is bad because we can't * rely on the integrity of the object's state. */ public void execute() { data.get("data").toString(); } } The code below is nothing special but I am acting on the parameters and state is contained within that class. We still may run into issues with this class but that is an issue with the method and the state of the data, we can address issues in the routine as opposed to not trusting the entire object. Is this some form of idiom? Is this similar to any pattern that you use? public class SemiStatefulOOP { /** * Private class implies that I can access the members of the <code>Data</code> class * within the <code>SemiStatefulOOP</code> class and I can also access * the getData method from some other class. * * @see Test1 * */ class Data { protected int counter = 0; public int getData() { return counter; } public String toString() { return Integer.toString(counter); } } /** * Act on the data class. */ public void execute(final Data data) { data.counter++; } /** * Act on the data class. */ public void updateStateWithCallToService(final Data data) { data.counter++; } /** * Similar to CLOS (Common Lisp Object System) make instance. */ public Data makeInstance() { return new Data(); } } // End of Class // Issues with the code above: I wanted to declare the Data class private, but then I can't really reference it outside of the class: I can't override the SemiStateful class and access the private members. Usage: final SemiStatefulOOP someObject = new SemiStatefulOOP(); final SemiStatefulOOP.Data data = someObject.makeInstance(); someObject.execute(data); someObject.updateStateWithCallToService(data);

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  • Simple XNA 2D demo: why is my F# version slower than C# version?

    - by Den
    When running this XNA application it should display a rotated rectangle that moves from top-left corner to bottom-right corner. It looks like my F# version is noticeably much slower. It seems that the Draw method skips a lot of frames. I am using VS 2012 RC, XNA 4.0, .NET 4.5, F# 3.0. I am trying to make it as functional as possible. What could be the reason for poor performance? C#: class Program { static void Main(string[] args) { using (var game = new FlockGame()) { game.Run(); } } } public class FlockGame : Game { private GraphicsDeviceManager graphics; private DrawingManager drawingManager; private Vector2 position = Vector2.Zero; public FlockGame() { graphics = new GraphicsDeviceManager(this); } protected override void Initialize() { drawingManager = new DrawingManager(graphics.GraphicsDevice); this.IsFixedTimeStep = false; } protected override void Update(GameTime gameTime) { position = new Vector2(position.X + 50.1f * (float)gameTime.ElapsedGameTime.TotalSeconds, position.Y + 50.1f * (float)gameTime.ElapsedGameTime.TotalSeconds); base.Update(gameTime); } protected override void Draw(GameTime gameTime) { //this.GraphicsDevice.Clear(Color.Lavender) drawingManager.DrawRectangle(position, new Vector2(100.0f, 100.0f), 0.7845f, Color.Red); base.Draw(gameTime); } } public class DrawingManager { private GraphicsDevice GraphicsDevice; private Effect Effect; public DrawingManager(GraphicsDevice graphicsDevice) { GraphicsDevice = graphicsDevice; this.Effect = new BasicEffect(this.GraphicsDevice) { VertexColorEnabled = true, Projection = Matrix.CreateOrthographicOffCenter(0.0f, this.GraphicsDevice.Viewport.Width, this.GraphicsDevice.Viewport.Height, 0.0f, 0.0f, 1.0f) }; } private VertexPositionColor[] GetRectangleVertices (Vector2 center, Vector2 size, float radians, Color color) { var halfSize = size/2.0f; var topLeft = -halfSize; var bottomRight = halfSize; var topRight = new Vector2(bottomRight.X, topLeft.Y); var bottomLeft = new Vector2(topLeft.X, bottomRight.Y); topLeft = Vector2.Transform(topLeft, Matrix.CreateRotationZ(radians)) + center; topRight = Vector2.Transform(topRight, Matrix.CreateRotationZ(radians)) + center; bottomRight = Vector2.Transform(bottomRight, Matrix.CreateRotationZ(radians)) + center; bottomLeft = Vector2.Transform(bottomLeft, Matrix.CreateRotationZ(radians)) + center; return new VertexPositionColor[] { new VertexPositionColor(new Vector3(topLeft, 0.0f), color), new VertexPositionColor(new Vector3(topRight, 0.0f), color), new VertexPositionColor(new Vector3(topRight, 0.0f), color), new VertexPositionColor(new Vector3(bottomRight, 0.0f), color), new VertexPositionColor(new Vector3(bottomRight, 0.0f), color), new VertexPositionColor(new Vector3(bottomLeft, 0.0f), color), new VertexPositionColor(new Vector3(bottomLeft, 0.0f), color), new VertexPositionColor(new Vector3(topLeft, 0.0f), color) }; } public void DrawRectangle(Vector2 center, Vector2 size, float radians, Color color) { var vertices = GetRectangleVertices(center, size, radians, color); foreach (var pass in this.Effect.CurrentTechnique.Passes) { pass.Apply(); this.GraphicsDevice.DrawUserPrimitives(PrimitiveType.LineList, vertices, 0, vertices.Length/2); } } } F#: namespace Flocking module FlockingProgram = open System open Flocking [<STAThread>] [<EntryPoint>] let Main _ = use g = new FlockGame() g.Run() 0 //------------------------------------------------------------------------------ namespace Flocking open System open System.Diagnostics open Microsoft.Xna.Framework open Microsoft.Xna.Framework.Graphics open Microsoft.Xna.Framework.Input type public FlockGame() as this = inherit Game() let mutable graphics = new GraphicsDeviceManager(this) let mutable drawingManager = null let mutable position = Vector2.Zero override Game.LoadContent() = drawingManager <- new Rendering.DrawingManager(graphics.GraphicsDevice) this.IsFixedTimeStep <- false override Game.Update gameTime = position <- Vector2(position.X + 50.1f * float32 gameTime.ElapsedGameTime.TotalSeconds, position.Y + 50.1f * float32 gameTime.ElapsedGameTime.TotalSeconds) base.Update gameTime override Game.Draw gameTime = //this.GraphicsDevice.Clear(Color.Lavender) Rendering.DrawRectangle(drawingManager, position, Vector2(100.0f, 100.0f), 0.7845f, Color.Red) base.Draw gameTime //------------------------------------------------------------------------------ namespace Flocking open System open System.Collections.Generic open Microsoft.Xna.Framework open Microsoft.Xna.Framework.Graphics open Microsoft.Xna.Framework.Input module Rendering = [<AllowNullLiteral>] type DrawingManager (graphicsDevice : GraphicsDevice) = member this.GraphicsDevice = graphicsDevice member this.Effect = new BasicEffect(this.GraphicsDevice, VertexColorEnabled = true, Projection = Matrix.CreateOrthographicOffCenter(0.0f, float32 this.GraphicsDevice.Viewport.Width, float32 this.GraphicsDevice.Viewport.Height, 0.0f, 0.0f, 1.0f)) let private GetRectangleVertices (center:Vector2, size:Vector2, radians:float32, color:Color) = let halfSize = size / 2.0f let mutable topLeft = -halfSize let mutable bottomRight = halfSize let mutable topRight = new Vector2(bottomRight.X, topLeft.Y) let mutable bottomLeft = new Vector2(topLeft.X, bottomRight.Y) topLeft <- Vector2.Transform(topLeft, Matrix.CreateRotationZ(radians)) + center topRight <- Vector2.Transform(topRight, Matrix.CreateRotationZ(radians)) + center bottomRight <- Vector2.Transform(bottomRight, Matrix.CreateRotationZ(radians)) + center bottomLeft <- Vector2.Transform(bottomLeft, Matrix.CreateRotationZ(radians)) + center [| new VertexPositionColor(new Vector3(topLeft, 0.0f), color) new VertexPositionColor(new Vector3(topRight, 0.0f), color) new VertexPositionColor(new Vector3(topRight, 0.0f), color) new VertexPositionColor(new Vector3(bottomRight, 0.0f), color) new VertexPositionColor(new Vector3(bottomRight, 0.0f), color) new VertexPositionColor(new Vector3(bottomLeft, 0.0f), color) new VertexPositionColor(new Vector3(bottomLeft, 0.0f), color) new VertexPositionColor(new Vector3(topLeft, 0.0f), color) |] let DrawRectangle (drawingManager:DrawingManager, center:Vector2, size:Vector2, radians:float32, color:Color) = let vertices = GetRectangleVertices(center, size, radians, color) for pass in drawingManager.Effect.CurrentTechnique.Passes do pass.Apply() drawingManager.GraphicsDevice.DrawUserPrimitives(PrimitiveType.LineList, vertices, 0, vertices.Length/2)

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  • In Scrum, should you split up the backlog in a functional backlog and a technical backlog or not?

    - by Patrick
    In our Scrum teams we use a backlog, which mostly contains functional topics, but also sometimes contains technical topics. The advantage of having 1 backlog is that it becomes easy to choose the topics for the next sprint, but I have some questions: First, to me it seems more logical to have a separate technical backlog, where developers themselves can add pure technical items, like: we could improve performance in this method, this class lacks some technical documentation, ... By having one backlog, all developers always have to pass via the product owner to have their topics added to the backlog, which seems additional, unnecessary work for the product owner. Second, if you have a product owner that only focuses on the pure-functional items, the pure-technical items (like missing technical documentation, code that erodes and should be refactored, classes that always give problems during debugging because they don't have a stable foundation and should be refactored, ...) always end up at the end of the list because "they don't serve the customer directly". By having a separate technical backlog, and time reserved in every sprint for these pure technical items, we can improve the applications functionally, but also keep them healthy inside. What is the best approach? One backlog or two?

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  • Please explain some of Paul Graham's points on LISP

    - by kunjaan
    I need some help understanding some of the points from Paul Graham's article http://www.paulgraham.com/diff.html A new concept of variables. In Lisp, all variables are effectively pointers. Values are what have types, not variables, and assigning or binding variables means copying pointers, not what they point to. A symbol type. Symbols differ from strings in that you can test equality by comparing a pointer. A notation for code using trees of symbols. The whole language always available. There is no real distinction between read-time, compile-time, and runtime. You can compile or run code while reading, read or run code while compiling, and read or compile code at runtime. What do these points mean How are they different in languages like C or Java? Do any other languages other than LISP family languages have any of these constructs now?

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  • Mutation Problem - Clojure

    - by Silanglaya Valerio
    having trouble changing an element of my function represented as a list. code for random function: (defn makerandomtree-10 [pc maxdepth maxwidth fpx ppx] (if-let [output (if (and (< (rand) fpx) (> maxdepth 0)) (let [head (nth operations (rand-int (count operations))) children (doall (loop[function (list) width maxwidth] (if (pos? width) (recur (concat function (list (makerandomtree-10 pc (dec maxdepth) (+ 2 (rand-int (- maxwidth 1))) fpx ppx))) (dec width)) function)))] (concat (list head) children)) (if (and (< (rand) ppx) (>= pc 0)) (nth parameters (rand-int (count parameters))) (rand-int 100)))] output )) I will provide also a mutation function, which is still not good enough. I need to be able to eval my statement, so the following is still insufficient. (defn mutate-5 "chooses a node changes that" [function pc maxwidth pchange] (if (< (rand) pchange) (let [output (makerandomtree-10 pc 3 maxwidth 0.5 0.6)] (if (seq? output) output (list output))) ;mutate the children of root ;declare an empty accumulator list, with root as its head (let [head (list (first function)) children (loop [acc(list) walker (next function)] (println "----------") (println walker) (println "-----ACC-----") (println acc) (if (not walker) acc (if (or (seq? (first function)) (contains? (set operations) (first function))) (recur (concat acc (mutate-5 walker pc maxwidth pchange)) (next walker)) (if (< (rand) pchange) (if (some (set parameters) walker) (recur (concat acc (list (nth parameters (rand-int (count parameters))))) (if (seq? walker) (next walker) nil)) (recur (concat acc (list (rand-int 100))) (if (seq? walker) (next walker) nil))) (recur acc (if (seq? walker) (next walker) nil)))) ))] (concat head (list children))))) (side note: do you have any links/books for learning clojure?)

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  • Higher-order type constructors and functors in Ocaml

    - by sdcvvc
    Can the following polymorphic functions let id x = x;; let compose f g x = f (g x);; let rec fix f = f (fix f);; (*laziness aside*) be written for types/type constructors or modules/functors? I tried type 'x id = Id of 'x;; type 'f 'g 'x compose = Compose of ('f ('g 'x));; type 'f fix = Fix of ('f (Fix 'f));; for types but it doesn't work. Here's a Haskell version for types: data Id x = Id x data Compose f g x = Compose (f (g x)) data Fix f = Fix (f (Fix f)) -- examples: l = Compose [Just 'a'] :: Compose [] Maybe Char type Natural = Fix Maybe -- natural numbers are fixpoint of Maybe n = Fix (Just (Fix (Just (Fix Nothing)))) :: Natural -- n is 2 -- up to isomorphism composition of identity and f is f: iso :: Compose Id f x -> f x iso (Compose (Id a)) = a

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  • Query on Booleans in Lambda Calculus

    - by darkie15
    Hi All, I have following query on lambda calculus which am not able to understand: Here is the lambda calculus representation for the AND operator: lambda(m).lambda(n).lambda (a).lambda (b). m(n a b) b Can anyone help me in understanding this representation? Regards, darkie

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  • F# Static Member Type Constraints

    - by Stephen Swensen
    I'm trying to define a function, factorize, which uses structural type constraints (requires static members Zero, One, +, and /) similar to Seq.sum so that it can be used with int, long, bigint, etc. I can't seem to get the syntax right, and can't find a lot of resources on the subject. This is what I have, please help. let inline factorize (n:^NUM) = ^NUM : (static member get_Zero: unit->(^NUM)) ^NUM : (static member get_One: unit->(^NUM)) let rec factorize (n:^NUM) (j:^NUM) (flist: ^NUM list) = if n = ^NUM.One then flist elif n % j = ^NUM.Zero then factorize (n/j) (^NUM.One + ^NUM.One) (j::flist) else factorize n (j + ^NUM.One) (flist) factorize n (^NUM.One + ^NUM.One) []

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  • Query on Booleans in Lambda Calculus

    - by darkie15
    Hi All, I have following query on lambda calculus which am not able to understand: Here is the lambda calculus representation for the AND operator: lambda(m).lambda(n).lambda (a).lambda (b). m(n a b) b Can anyone help me in understanding this representation? Regards, darkie

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  • Scalaz: request for use case

    - by oxbow_lakes
    This question isn't meant as flame-bait! As it might be apparent, I've been looking at Scalaz recently. I'm trying to understand why I need some of the functionality that the library provides. Here's something: import scalaz._ import Scalaz._ type NEL[A] = NonEmptyList[A] val NEL = NonEmptyList I put some println statements in my functions to see what was going on (aside: what would I have done if I was trying to avoid side effects like that?). My functions are: val f: NEL[Int] => String = (l: NEL[Int]) => {println("f: " + l); l.toString |+| "X" } val g: NEL[String] => BigInt = (l: NEL[String]) => {println("g: " + l); BigInt(l.map(_.length).sum) } Then I combine them via a cokleisli and pass in a NEL[Int] val k = cokleisli(f) =>= cokleisli(g) println("RES: " + k( NEL(1, 2, 3) )) What does this print? f: NonEmptyList(1, 2, 3) f: NonEmptyList(2, 3) f: NonEmptyList(3) g: NonEmptyList(NonEmptyList(1, 2, 3)X, NonEmptyList(2, 3)X, NonEmptyList(3)X) RES: 57 The RES value is the character count of the (String) elements in the final NEL. Two things occur to me: How could I have known that my NEL was going to be reduced in this manner from the method signatures involved? (I wasn't expecting the result at all) What is the point of this? Can a reasonably simple and easy-to-follow use case be distilled for me? This question is a thinly-veiled plea for some lovely person like retronym to explain how this powerful library actually works.

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  • Ruby Programming Techniques: simple yet not so simple object manipulation

    - by Shyam
    Hi, I want to create an object, let's say a Pie. class Pie def initialize(name, flavor) @name = name @flavor = flavor end end But a Pie can be divided in 8 pieces, a half or just a whole Pie. For the sake of argument, I would like to know how I could give each Pie object a price per 1/8, 1/4 or per whole. I could do this by doing: class Pie def initialize(name, flavor, price_all, price_half, price_piece) @name = name @flavor = flavor @price_all = price_all @price_half = price_half @price_piece = price_piece end end But now, if I would create fifteen Pie objects, and I would take out randomly some pieces somewhere by using a method such as getPieceOfPie(pie_name) How would I be able to generate the value of all the available pies that are whole and the remaining pieces? Eventually using a method such as: myCurrentInventoryHas(pie_name) # output: 2 whole strawberry pies and 7 pieces. I know, I am a Ruby nuby. Thank you for your answers, comments and help!

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  • How to manage test fixtures for end-to-end testing?

    - by Peter Becker
    Having just set up a test framework for a new web application, I realized I missed one of the big questions: "How do I make tests independent from each other?" Years ago I have set up some complicated Ant scripting to do full cycles of deleting all database tables, creating the schema again, adding test data, starting the application, running one test and then stopping the application. That was a pain to maintain and restricted us to nightly tests due to the time it took to run the full suite. It was still worth it, but I wonder if there is an easier way. Are there alternatives to this approach? The main criterion is that each test should not be affected by any other test in the suite, no matter if it failed or succeeded.

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  • Haskell Parsec Numeration

    - by Martin
    I'm using Text.ParserCombinators.Parsec and Text.XHtml to parse an input like this: - First type A\n -- First type B\n - Second type A\n -- First type B\n --Second type B\n And my output should be: <h11 First type A\n</h1 <h21.1 First type B\n</h2 <h12 Second type A\n</h2 <h22.1 First type B\n</h2 <h22.2 Second type B\n</h2 I have come to this part, but I cannot get any further: title1= do{ ;(count 1 (char '-')) ;s <- many1 anyChar newline ;return (h1 << s) } title2= do{ ;(count 2 (char '--')) ;s <- many1 anyChar newline ;return (h1 << s) } text=do { ;many (choice [try(title1),try(title2)]) } main :: IO () main = do t putStr "Error: " print err Right x - putStrLn $ prettyHtml x This is ok, but it does not include the numbering. Any ideas? Thanks!

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  • Cartesian product in Scheme

    - by John Retallack
    I've been trying to do a function that returns the Cartesian Product of n sets,in Dr Scheme,the sets are given as a list of lists,I've been stuck at this all day,I would like a few guidelines as where to start,I've wrote a pice of code but it dosen't work. (define cart-n(?(l) (if (null? l) '(()) (map (?(lst) (cons (car ( car(l))) lst)) (cart-n (cdr l) )))))

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  • cartesian product

    - by John Retallack
    I've been trying to do a function that returns the Cartesian Product of n sets,in Dr Scheme,the sets are given as a list of lists,I've been stuck at this all day,I would like a few guidelines as where to start,I've wrote a pice of code but it dosen't work. (define cart-n(?(l) (if (null? l) '(()) (map (?(lst) (cons (car ( car(l))) lst)) (cart-n (cdr l) )))))

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  • Linq Query Performance , comparing Compiled query vs Non-Compiled.

    - by AG.
    Hello Guys, I was wondering if i extract the common where clause query into a common expression would it make my query much faster, if i have say something like 10 linq queries on a collection with exact same 1st part of the where clause. I have done a small example to explain a bit more . public class Person { public string First { get; set; } public string Last { get; set; } public int Age { get; set; } public String Born { get; set; } public string Living { get; set; } } public sealed class PersonDetails : List<Person> { } PersonDetails d = new PersonDetails(); d.Add(new Person() {Age = 29, Born = "Timbuk Tu", First = "Joe", Last = "Bloggs", Living = "London"}); d.Add(new Person() { Age = 29, Born = "Timbuk Tu", First = "Foo", Last = "Bar", Living = "NewYork" }); Expression<Func<Person, bool>> exp = (a) => a.Age == 29; Func<Person, bool> commonQuery = exp.Compile(); var lx = from y in d where commonQuery.Invoke(y) && y.Living == "London" select y; var bx = from y in d where y.Age == 29 && y.Living == "NewYork" select y; Console.WriteLine("All Details {0}, {1}, {2}, {3}, {4}", lx.Single().Age, lx.Single().First , lx.Single().Last, lx.Single().Living, lx.Single().Born ); Console.WriteLine("All Details {0}, {1}, {2}, {3}, {4}", bx.Single().Age, bx.Single().First, bx.Single().Last, bx.Single().Living, bx.Single().Born); So can some of the guru's here give me some advice if it would be a good practice to write query like var lx = "Linq Expression " or var bx = "Linq Expression" ? Any inputs would be highly appreciated. Thanks, AG

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  • Scalaz Kleisli question

    - by oxbow_lakes
    There is a trait called Kleisli in the scalaz library. Looking at the code: import scalaz._ import Scalaz._ type StringPair = (String, String) val f: Int => List[String] = (i: Int) => List((i |+| 1).toString, (i |+| 2).toString) val g: String => List[StringPair] = (s: String) => List("X" -> s, s -> "Y") val k = kleisli(f) >=> kleisli(g) //this gives me a function: Int => List[(String, String)] Calling the function k with the value of 2 gives: println( k(2) ) //Prints: List((X,3), (3,Y), (X,4), (4,Y)) My question is: how would I use Scalaz to combine f and g to get a function m such that the output of m(2) would be: val m = //??? some combination of f and g println( m(2) ) //Prints: List((X,3), (X,4), (3,Y), (4,Y)) Is this even possible?

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  • Scalaz: request for use case for Cokleisli composition

    - by oxbow_lakes
    This question isn't meant as flame-bait! As it might be apparent, I've been looking at Scalaz recently. I'm trying to understand why I need some of the functionality that the library provides. Here's something: import scalaz._ import Scalaz._ type NEL[A] = NonEmptyList[A] val NEL = NonEmptyList I put some println statements in my functions to see what was going on (aside: what would I have done if I was trying to avoid side effects like that?). My functions are: val f: NEL[Int] => String = (l: NEL[Int]) => {println("f: " + l); l.toString |+| "X" } val g: NEL[String] => BigInt = (l: NEL[String]) => {println("g: " + l); BigInt(l.map(_.length).sum) } Then I combine them via a cokleisli and pass in a NEL[Int] val k = cokleisli(f) =>= cokleisli(g) println("RES: " + k( NEL(1, 2, 3) )) What does this print? f: NonEmptyList(1, 2, 3) f: NonEmptyList(2, 3) f: NonEmptyList(3) g: NonEmptyList(NonEmptyList(1, 2, 3)X, NonEmptyList(2, 3)X, NonEmptyList(3)X) RES: 57 The RES value is the character count of the (String) elements in the final NEL. Two things occur to me: How could I have known that my NEL was going to be reduced in this manner from the method signatures involved? (I wasn't expecting the result at all) What is the point of this? Can a reasonably simple and easy-to-follow use case be distilled for me? This question is a thinly-veiled plea for some lovely person like retronym to explain how this powerful library actually works.

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