How to elegantly check if a number is within a range?

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挽巷
挽巷 2020-11-27 11:17

How can I do this elegantly with C# and .NET 3.5/4?

For example, a number can be between 1 and 100.

I know a simple if would suffice; but the keyword to this

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  • 2020-11-27 12:04

    EDIT: New Answer provided. I was just starting out using C# when I wrote the first answer to this question, and in hindsight I now realize that my "solution" was / is naive and inefficient.

    My original answer: I'd go with the more simple version:

    if(Enumerable.Range(1,100).Contains(intInQuestion)) { ...DoStuff; }

    A Better Way

    As I haven't seen any other solution that is more efficient (according to my tests at least), I'll give it another go.

    New and better way that also works with negative ranges:

    // Returns true if x is in range [min..max], else false 
    bool inRange(int x, int min=1, int max=100) => ((x - max)*(x - min) <= 0);
    
    

    This can be used with both positive and negative ranges and defaults to a range of

    1..100 (inclusive) and uses x as the number to check followed by an optional range defined by min and max.

    Adding Examples For Good Measure

    Example 1:

    // Returns true if x is in range [min..max], else false 
    bool inRange(int x, int min=1, int max=100) => ((x - max)*(x - min) <= 0);
    
    Console.WriteLine(inRange(25));
    Console.WriteLine(inRange(1));
    Console.WriteLine(inRange(100));
    Console.WriteLine(inRange(25, 30, 150));
    Console.WriteLine(inRange(-25, -50, 0));
    
    

    Returns:

    True
    True
    True
    False
    True
    

    Example 2: Using a list of random ints between 1 and 150

    // Returns true if x is in range [min..max], else false 
    bool inRange(int x, int min=1, int max=100) => ((x - max)*(x - min) <= 0);
    
    // Generate 100000 ints between 1 and 150
    var intsToCheck = new List<int>();
    var randGen = new Random();
    for(int i = 0; i < 100000; ++i){
        intsToCheck.Add(randGen.Next(150) + 1);
    }
    
    var counter = 0;
    foreach(int n in intsToCheck) {
        if(inRange(n)) ++counter;
    }
    
    Console.WriteLine("{0} ints found in range 1..100", counter);
    

    Returns:

    66660 ints found in range 1..100
    
    

    Execution Time: 0.016 second(s)

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  • 2020-11-27 12:04

    When checking if a "Number" is in a range you have to be clear in what you mean, and what does two numbers are equal mean? In general you should wrap all floating point numbers in what is called a 'epsilon ball' this is done by picking some small value and saying if two values are this close they are the same thing.

        private double _epsilon = 10E-9;
        /// <summary>
        /// Checks if the distance between two doubles is within an epsilon.
        /// In general this should be used for determining equality between doubles.
        /// </summary>
        /// <param name="x0">The orgin of intrest</param>
        /// <param name="x"> The point of intrest</param>
        /// <param name="epsilon">The minimum distance between the points</param>
        /// <returns>Returns true iff x  in (x0-epsilon, x0+epsilon)</returns>
        public static bool IsInNeghborhood(double x0, double x, double epsilon) => Abs(x0 - x) < epsilon;
    
        public static bool AreEqual(double v0, double v1) => IsInNeghborhood(v0, v1, _epsilon);
    

    With these two helpers in place and assuming that if any number can be cast as a double without the required accuracy. All you will need now is an enum and another method

        public enum BoundType
        {
            Open,
            Closed,
            OpenClosed,
            ClosedOpen
        }
    

    The other method follows:

        public static bool InRange(double value, double upperBound, double lowerBound, BoundType bound = BoundType.Open)
        {
            bool inside = value < upperBound && value > lowerBound;
            switch (bound)
            {
                case BoundType.Open:
                    return inside;
                case BoundType.Closed:
                    return inside || AreEqual(value, upperBound) || AreEqual(value, lowerBound); 
                case BoundType.OpenClosed:
                    return inside || AreEqual(value, upperBound);
                case BoundType.ClosedOpen:
                    return inside || AreEqual(value, lowerBound);
                default:
                    throw new System.NotImplementedException("You forgot to do something");
            }
        }
    

    Now this may be far more than what you wanted, but it keeps you from dealing with rounding all the time and trying to remember if a value has been rounded and to what place. If you need to you can easily extend this to work with any epsilon and to allow your epsilon to change.

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  • 2020-11-27 12:05

    I propose this:

    public static bool IsWithin<T>(this T value, T minimum, T maximum) where T : IComparable<T> {
        if (value.CompareTo(minimum) < 0)
           return false;
        if (value.CompareTo(maximum) > 0)
           return false;
        return true;
    }
    

    Examples:

    45.IsWithin(32, 89)
    true
    87.2.IsWithin(87.1, 87.15)
    false
    87.2.IsWithin(87.1, 87.25)
    true
    

    and of course with variables:

    myvalue.IsWithin(min, max)
    

    It's easy to read (close to human language) and works with any comparable type (integer, double, custom types...).

    Having code easy to read is important because the developer will not waste "brain cycles" to understand it. In long coding sessions wasted brain cycles make developer tired earlier and prone to bug.

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