问题
Inspired by Units of Measure in F#, and despite asserting (here) that you couldn\'t do it in C#, I had an idea the other day which I\'ve been playing around with.
namespace UnitsOfMeasure
{
public interface IUnit { }
public static class Length
{
public interface ILength : IUnit { }
public class m : ILength { }
public class mm : ILength { }
public class ft : ILength { }
}
public class Mass
{
public interface IMass : IUnit { }
public class kg : IMass { }
public class g : IMass { }
public class lb : IMass { }
}
public class UnitDouble<T> where T : IUnit
{
public readonly double Value;
public UnitDouble(double value)
{
Value = value;
}
public static UnitDouble<T> operator +(UnitDouble<T> first, UnitDouble<T> second)
{
return new UnitDouble<T>(first.Value + second.Value);
}
//TODO: minus operator/equality
}
}
Example usage:
var a = new UnitDouble<Length.m>(3.1);
var b = new UnitDouble<Length.m>(4.9);
var d = new UnitDouble<Mass.kg>(3.4);
Console.WriteLine((a + b).Value);
//Console.WriteLine((a + c).Value); <-- Compiler says no
The next step is trying to implement conversions (snippet):
public interface IUnit { double toBase { get; } }
public static class Length
{
public interface ILength : IUnit { }
public class m : ILength { public double toBase { get { return 1.0;} } }
public class mm : ILength { public double toBase { get { return 1000.0; } } }
public class ft : ILength { public double toBase { get { return 0.3048; } } }
public static UnitDouble<R> Convert<T, R>(UnitDouble<T> input) where T : ILength, new() where R : ILength, new()
{
double mult = (new T() as IUnit).toBase;
double div = (new R() as IUnit).toBase;
return new UnitDouble<R>(input.Value * mult / div);
}
}
(I would have liked to avoid instantiating objects by using static, but as we all know you can\'t declare a static method in an interface) You can then do this:
var e = Length.Convert<Length.mm, Length.m>(c);
var f = Length.Convert<Length.mm, Mass.kg>(d); <-- but not this
Obviously, there is a gaping hole in this, compared to F# Units of measure (I\'ll let you work it out).
Oh, the question is: what do you think of this? Is it worth using? Has someone else already done better?
UPDATE for people interested in this subject area, here is a link to a paper from 1997 discussing a different kind of solution (not specifically for C#)
回答1:
You are missing dimensional analysis. For example (from the answer you linked to), in F# you can do this:
let g = 9.8<m/s^2>
and it will generate a new unit of acceleration, derived from meters and seconds (you can actually do the same thing in C++ using templates).
In C#, it is possible to do dimensional analysis at runtime, but it adds overhead and doesn't give you the benefit of compile-time checking. As far as I know there's no way to do full compile-time units in C#.
Whether it's worth doing depends on the application of course, but for many scientific applications, it's definitely a good idea. I don't know of any existing libraries for .NET, but they probably exist.
If you are interested in how to do it at runtime, the idea is that each value has a scalar value and integers representing the power of each basic unit.
class Unit
{
double scalar;
int kg;
int m;
int s;
// ... for each basic unit
public Unit(double scalar, int kg, int m, int s)
{
this.scalar = scalar;
this.kg = kg;
this.m = m;
this.s = s;
...
}
// For addition/subtraction, exponents must match
public static Unit operator +(Unit first, Unit second)
{
if (UnitsAreCompatible(first, second))
{
return new Unit(
first.scalar + second.scalar,
first.kg,
first.m,
first.s,
...
);
}
else
{
throw new Exception("Units must match for addition");
}
}
// For multiplication/division, add/subtract the exponents
public static Unit operator *(Unit first, Unit second)
{
return new Unit(
first.scalar * second.scalar,
first.kg + second.kg,
first.m + second.m,
first.s + second.s,
...
);
}
public static bool UnitsAreCompatible(Unit first, Unit second)
{
return
first.kg == second.kg &&
first.m == second.m &&
first.s == second.s
...;
}
}
If you don't allow the user to change the value of the units (a good idea anyways), you could add subclasses for common units:
class Speed : Unit
{
public Speed(double x) : base(x, 0, 1, -1, ...); // m/s => m^1 * s^-1
{
}
}
class Acceleration : Unit
{
public Acceleration(double x) : base(x, 0, 1, -2, ...); // m/s^2 => m^1 * s^-2
{
}
}
You could also define more specific operators on the derived types to avoid checking for compatible units on common types.
回答2:
You could add extension methods on numeric types to generate measures. It'd feel a bit DSL-like:
var mass = 1.Kilogram();
var length = (1.2).Kilometres();
It's not really .NET convention and might not be the most discoverable feature, so perhaps you'd add them in a devoted namespace for people who like them, as well as offering more conventional construction methods.
回答3:
Using separate classes for different units of the same measure (e.g., cm, mm, and ft for Length) seems kind of weird. Based on the .NET Framework's DateTime and TimeSpan classes, I would expect something like this:
Length length = Length.FromMillimeters(n1);
decimal lengthInFeet = length.Feet;
Length length2 = length.AddFeet(n2);
Length length3 = length + Length.FromMeters(n3);
回答4:
Now such a C# library exists: http://www.codeproject.com/Articles/413750/Units-of-Measure-Validator-for-Csharp
It has almost the same features as F#'s unit compile time validation, but for C#. The core is a MSBuild task, which parses the code and looking for validations.
The unit information are stored in comments and attributes.
回答5:
I recently released Units.NET on GitHub and on NuGet.
It gives you all the common units and conversions. It is light-weight, unit tested and supports PCL.
Example conversions:
Length meter = Length.FromMeters(1);
double cm = meter.Centimeters; // 100
double yards = meter.Yards; // 1.09361
double feet = meter.Feet; // 3.28084
double inches = meter.Inches; // 39.3701
回答6:
Here's my concern with creating units in C#/VB. Please correct me if you think I'm wrong. Most implementations I've read about seem to involve creating a structure that pieces together a value (int or double) with a unit. Then you try to define basic functions (+-*/,etc) for these structures that take into account unit conversions and consistency.
I find the idea very attractive, but every time I balk at what a huge step for a project this appears to be. It looks like an all-or-nothing deal. You probably wouldn't just change a few numbers into units; the whole point is that all data inside a project is appropriately labeled with a unit to avoid any ambiguity. This means saying goodbye to using ordinary doubles and ints, every variable is now defined as a "Unit" or "Length" or "Meters", etc. Do people really do this on a large scale? So even if you have a large array, every element should be marked with a unit. This will obviously have both size and performance ramifications.
Despite all the cleverness in trying to push the unit logic into the background, some cumbersome notation seems inevitable with C#. F# does some behind-the-scenes magic that better reduces the annoyance factor of the unit logic.
Also, how successfully can we make the compiler treat a unit just like an ordinary double when we so desire, w/o using CType or ".Value" or any additional notation? Such as with nullables, the code knows to treat a double? just like a double (of course if your double? is null then you get an error).
回答7:
Thanks for the idea. I have implemented units in C# many different ways there always seems to be a catch. Now I can try one more time using the ideas discussed above. My goal is to be able to define new units based on existing ones like
Unit lbf = 4.44822162*N;
Unit fps = feet/sec;
Unit hp = 550*lbf*fps
and for the program to figure out the proper dimensions, scaling and symbol to use. In the end I need to build a basic algebra system that can convert things like (m/s)*(m*s)=m^2 and try to express the result based on existing units defined.
Also a requirement must be to be able to serialize the units in a way that new units do not need to be coded, but just declared in a XML file like this:
<DefinedUnits>
<DirectUnits>
<!-- Base Units -->
<DirectUnit Symbol="kg" Scale="1" Dims="(1,0,0,0,0)" />
<DirectUnit Symbol="m" Scale="1" Dims="(0,1,0,0,0)" />
<DirectUnit Symbol="s" Scale="1" Dims="(0,0,1,0,0)" />
...
<!-- Derived Units -->
<DirectUnit Symbol="N" Scale="1" Dims="(1,1,-2,0,0)" />
<DirectUnit Symbol="R" Scale="1.8" Dims="(0,0,0,0,1)" />
...
</DirectUnits>
<IndirectUnits>
<!-- Composite Units -->
<IndirectUnit Symbol="m/s" Scale="1" Lhs="m" Op="Divide" Rhs="s"/>
<IndirectUnit Symbol="km/h" Scale="1" Lhs="km" Op="Divide" Rhs="hr"/>
...
<IndirectUnit Symbol="hp" Scale="550.0" Lhs="lbf" Op="Multiply" Rhs="fps"/>
</IndirectUnits>
</DefinedUnits>
回答8:
there is jscience: http://jscience.org/, and here is a groovy dsl for units: http://groovy.dzone.com/news/domain-specific-language-unit-. iirc, c# has closures, so you should be able to cobble something up.
回答9:
you could use QuantitySystem instead of implementing it by your own. It builds on F# and drastically improves unit handling in F#. It's the best implementation I found so far and can be used in C# projects.
http://quantitysystem.codeplex.com
回答10:
Why not use CodeDom to generate all possible permutations of the units automatically? I know it's not the best - but I will definitely work!
回答11:
See Boo Ometa (which will be available for Boo 1.0): Boo Ometa and Extensible Parsing
回答12:
I really liked reading through this stack overflow question and its answers.
I have a pet project that I've tinkered with over the years, and have recently started re-writing it and have released it to the open source at http://ngenericdimensions.codeplex.com
It happens to be somewhat similar to many of the ideas expressed in the question and answers of this page.
It basically is about creating generic dimensions, with the unit of measure and the native datatype as the generic type placeholders.
For example:
Dim myLength1 as New Length(of Miles, Int16)(123)
With also some optional use of Extension Methods like:
Dim myLength2 = 123.miles
And
Dim myLength3 = myLength1 + myLength2
Dim myArea1 = myLength1 * myLength2
This would not compile:
Dim myValue = 123.miles + 234.kilograms
New units can be extended in your own libraries.
These datatypes are structures that contain only 1 internal member variable, making them lightweight.
Basically, the operator overloads are restricted to the "dimension" structures, so that every unit of measure doesn't need operator overloads.
Of course, a big downside is the longer declaration of the generics syntax that requires 3 datatypes. So if that is a problem for you, then this isn't your library.
The main purpose was to be able to decorate an interface with units in a compile-time checking fashion.
There is a lot that needs to be done to the library, but I wanted to post it in case it was the kind of thing someone was looking for.
来源：https://stackoverflow.com/questions/348853/units-of-measure-in-c-sharp-almost