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The types of reports you can obtain about your system can lead you to all manner of unexpected inefficiencies in your source code However, take care not to overdo it It is possible to spend a considerable amount of time profiling a piece of source code that takes a long time to execute such that you may never fully meet your expectations of identifying the bottleneck The thing to remember is that some things take a while to execute Such is the case for disk I/O or network latency Usually you can t do a lot about it except redesign your architecture to become less dependent on slow resources Of course, if you were designing an embedded real-time system this may indeed be a valid endeavor, but it generally isn t worth the effort to try to improve something you cannot control.

The first primitives are all related to generic comparison, also often called structural comparison. Every time you use operators such as <, >, <=, >=, =, <>, compare, min, and max in F# code, you re using generic comparison. All of these operators are located in the Microsoft.FSharp.Core.Operators module, which is opened by default in all F# code. Some important data structures also use generic comparison internally; for example, you may also be using generic comparison when you use F# collection types such as Microsoft.FSharp.Collections.Set and Microsoft.FSharp.Collections.Map. This is discussed in the documentation for these types. The type signatures of the basic generic comparison operators are shown here: val val val val val val val val compare : 'T -> 'T -> int when 'T : comparison (=) : 'T -> 'T -> bool when 'T : equality (<) : 'T -> 'T -> bool when 'T : comparison (<=) : 'T -> 'T -> bool when 'T : comparison (>) : 'T -> 'T -> bool when 'T : comparison (>=) : 'T -> 'T -> bool when 'T : comparison (min) : 'T -> 'T -> 'T when 'T : comparison (max) : 'T -> 'T -> 'T when 'T : comparison

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One of the most important activities of object-oriented programming is defining concrete types equipped with the dot-notation. A concrete type has fixed behavior, that is, uses the same member implementations for each concrete value of the type. You have already met many important concrete types, such as integers, lists, strings, and records (introduced in 3). It is easy to add object-oriented members to concrete types. Listing 6-1 shows an example. Listing 6-1. A Vector2D Type with Object-Oriented Members type Vector2D = { DX: float; DY: float } member v.Length = sqrt(v.DX * v.DX + v.DY * v.DY) member v.Scale(k) = { DX=k*v.DX; DY=k*v.DY } member v.ShiftX(x) = { v with DX=v.DX+x } member v.ShiftY(y) = { v with DY=v.DY+y } member v.ShiftXY(x,y) = { DX=v.DX+x; DY=v.DY+y }

However, you should always strive to make your code run as efficiently as possible If you find a condition where your code can be improved using profiling, then by all means do it Just don t get carried away trying to identify or track the little things go after the big-ticket items first..

All of these routines are constrained, which means they may only be used on a subset of types that are known to support either equality (for =) or ordered comparison (for the others). It may help to think of those that implement ordered comparison as being implemented in terms of compare, which returns 0 if the arguments are equal and returns 1 and 1 for less than and greater than, respectively. On ordinary simple types such as integers, generic comparison works by invoking the default .NET behavior for these types, giving the natural ordering for these types. For strings, culture-neutral ordinal comparison is used, which means the local culture settings on your machine don t affect string comparison (see System.Globalization for more information about local settings). Most other .NET base types implement the System.IComparable interface, such as System.DateTime values, and generic comparison uses these implementations where necessary.

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