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Splines Polynomials Constraints 2 0 90 180 Cam rotation angle (deg) 270

Part II:

There are two methods that are especially important if you have unmanaged code in your project: AddMemoryPressure( ) and RemoveMemoryPressure( ) These are used to indicate that a large amount of unmanaged memory has been allocated or released by the program They are important because the memory management system has no oversight on unmanaged memory If a program allocates a large amount of unmanaged memory, then performance might be affected because the system has no way of knowing that free memory has been reduced By calling AddMemoryPressure( ) when allocating large amounts of unmanaged memory, you let the CLR know that memory has been reduced By calling RemoveMemoryPressure( ), you let the CLR know the memory has been freed Remember: RemoveMemoryPressure( ) must be called only to indicate that memory reported by a call to AddMemoryPressure( ) has been released

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FIGURE 59 Comparison of the velocities obtained by both the polynomial and the spline synthesis techniques in Example 4

we know that ln x is an increasing, concave down function whose graph passes through (1, 0) There are no relative maxima or minima (since the derivative is never 0) Certainly ln 9 < 0; the formula ln(9n ) = n ln 9 therefore tells us that ln x is negative without bound as x 0+ Since ln x = ln(1/x), we may also conclude that ln x is positive without bound as x + A sketch of the graph of y = ln x appears in Fig 62 We learned in the last paragraph that the function ln x takes negative values which are arbitrarily large in absolute value when x is small and positive In particular, the negative y axis is a vertical asymptote Since ln(1/x) = ln x, we then nd that ln x takes arbitrarily large positive values when x is large and positive The graph exhibits these features Since we have only de ned the function ln x when x > 0, the graph is only sketched in Fig 62 to the right of the y-axis However it certainly makes sense to

Method public static void AddMemoryPressure(long size) public static void Collect( ) public static void Collect(int maxGen) public static void Collect(int maxGen, GCCollectionMode GCMode) public static int CollectionCount(int gen) Meaning Indicates that size number of bytes of unmanaged memory have been allocated Initiates garbage collection Initiates garbage collection for memory with generation numbers of 0 through maxGen Initiates garbage collection for memory with generation numbers of 0 through maxGen as specified by GCMode Returns the number of garbage collections that have taken place for memory having the generation number specified by gen Returns the generation number for the memory referred to by o Returns the generation number for the memory referred to by the weak reference specified by o A weak reference does not prevent the object from being garbage-collected Returns the total number of bytes currently allocated If collect is true, garbage collection occurs first Creates a reference to o, thus preventing it from being garbage collected This reference ends when KeepAlive( ) executes Indicates that size number of bytes of unmanaged memory have been released Causes the finalizer (ie, the destructor) for o to be called This method undoes the effects of SuppressFinalize( ) Prevents the finalizer (ie, the destructor) for o from being called Halts execution of the invoking thread until all pending finalizers (ie, destructors) have been called

public static int GetGeneration(object o) public static int GetGeneration(WeakReference o)

Rj ,k ( x ) = Wj N j ,k ( x )

public static long GetTotalMemory(bool collect) public static void KeepAlive(object o)

discuss the function ln |x| when x = 0 (Fig 63):

public static void RemoveMemoryPressure(long size) public static void ReRegisterForFinalize(object o) public static void SuppressFinalize(object o) public static void WaitForPendingFinalizers( )

( x)

21:

Object is the class that underlies the C# object type The members of Object were discussed in 11, but because of its central role in C#, its methods are repeated in Table 21-16 for your convenience Object defines one constructor, which is shown here: public Object( ) It constructs an empty object

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