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damage is pretty high; the system will be compromised. Sadly, code signing in OS X doesn t currently prevent such an attack. It detects the attack, which permits quick reaction on the part of whoever notices the detection. Detection and reaction are important though often overlooked factors of a good security posture. Novel attacks are always being found, or you may have just overlooked an important risk: the only way you ll find out is if you have some detection in place. Application signing can potentially be utilized to defend against such occurrences with its ability to confidently validate integrity. When an application is signed, that signature uniquely identifies the executable code of the application, providing a unique fingerprint. If the application s code is altered, that fingerprint changes unequivocally, and the digital signature will have been broken. Code signing provides an additional benefit for application integrity: when an application runs, its contents are copied to memory and then executed. In the traditional sense, code signing provides the ability for an operating system to detect on-disk modifications to an application. But in actuality, it goes even further than that. Apple s code signing system actually provides the functionality to dynamically verify the validity of code running in a given process. This facility helps to verify integrity of the application on the disk and while running. Even if an application loads new code like a plug-in after it has started, code signing can detect that and update its view of the application s integrity.

When you define a new type, you may include measure parameters as part of the definition of the type. These parameters must be marked with the Measure attribute. For example: type Vector2D<[<Measure>] 'u> = { DX: float<'u>; DY: float<'u> } You can use units of measure in conjunction with object-oriented programming, discussed in 6. For example, here is a vector type generic over units of measure: /// Two-dimensional vectors type Vector2D<[<Measure>] 'u>(dx: float<'u>, dy: float<'u>) = /// Get the X component of the vector member v.DX = dx /// Get the Y component of the vector member v.DY = dy /// Get the length of the vector member v.Length = sqrt(dx * dx + dy * dy) /// Get a vector scaled by the given factor member v.Scale k = Vector2D(k*dx, k*dy) /// Return a vector shifted by the given delta in the X coordinate member v.ShiftX x = Vector2D(dx+x, dy) /// Return a vector shifted by the given delta in the Y coordinate member v.ShiftY y = Vector2D(dx, dy+y) /// Get the zero vector static member Zero = Vector2D<'u>(0.0<_>, 0.0<_>) /// Return a constant vector along the X axis static member ConstX dx = Vector2D<'u>(dx, 0.0<_>) /// Return a constant vector along the Y axis static member ConstY dy = Vector2D<'u>(0.0<_>, dy) /// Return the sum of two vectors static member (+) (v1: Vector2D<'u>, v2: Vector2D<'u>) = Vector2D(v1.DX + v2.DX, v1.DY + v2.DY) /// Return the difference of two vectors static member (-) (v1: Vector2D<'u>, v2: Vector2D<'u>) = Vector2D(v1.DX - v2.DX, v1.DY - v2.DY) /// Return the pointwise-product of two vectors static member (.*) (v1: Vector2D<'u>, v2: Vector2D<'u>) = Vector2D(v1.DX * v2.DX, v1.DY * v2.DY)

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Although application signing is utilized very heavily by the iPhone and iPod Touch, it s utilization in Mac OS X is a little less prolific As of 105, Apple has digitally signed all applications that it ships However, the system facilities that actually utilize application signing is fairly minimal, and this certainly is the weak link in Apple s system: it has an excellent foundation laid that allows it to enforce extremely tight controls in the OS When we view the iPhone OS for instance, we find a system that is 100% reliant on application signing In such a case, Apple serves as the root authority, and as such has complete control over all applications that are allowed to run on the platform This has proven to be a very effective system, providing a near-ironclad guard against malware on the platform.

Note that some measure annotations are needed on zero values in this sample. In addition, a vector type like this should normally implement the IComparable interface, and the Equals and GetHashCode methods, as described in 8.

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