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In C++, each structure, itself, contains the Name array This differs from C#, which would normally just store a reference to the array Thus, representing this data in a C# struct requires the use of a fixed-size buffer, as shown here:

// Use a fixed-size buffer unsafe struct FixedBankRecord { public fixed byte Name[80]; // create a fixed-size buffer public double Balance; public long ID; }

A computer solution is employed to establish the incremental displacement values and the characteristic curves of the action The maximum velocity of the modi ed sine curve is h h ymax = 1760 , the maximum acceleration is ymax = 5528 2 , and the maximum jerk is b b h ymax = 6947 3 The nondimensionalized displacement, velocity, and acceleration factors b are given in Table A-4, App B Figure 310 indicates the comparison (Erdman and Sandor, 1997) of the cycloidal, modi ed trapezoidal, and modi ed sine curves The data shown is for a 3-inch pitch diameter cam having a 2-inch rise in 6 degrees of cam rotation

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By using a fixed-size buffer for Name, each instance of FixedBankRecord will contain all 80 bytes of the Name array, which is the way that a C++ struct would be organized Thus, the overall size of FixedBankRecord is 96, which is the sum of its members Here is a program that demonstrates this fact:

Many times a simple algebraic manipulation involving fractions will put a limit into a form which can be studied using l H pital s Rule EXAMPLE 510

// Demonstrate a fixed-size buffer using System; // Create a fixed-size buffer unsafe struct FixedBankRecord { public fixed byte Name[80]; // create a fixed-size buffer public double Balance; public long ID; } class FixedSizeBuffer { // Mark Main as unsafe unsafe static void Main() { ConsoleWriteLine("Size of FixedBankRecord is " + sizeof(FixedBankRecord)); } }

In this section we will reshape the cycloidal curve to improve its acceleration characteristics This curve is the modi ed cycloidal curve that was developed by Wildt (1953) Figure 311 indicates the acceleration comparison between the true cycloidal curve and the Wildt cycloidal curve The basic cycloidal curve equation for the displacement 1 2pq q y = h sin b 2p b (258)

The output is shown here:

Part I:

x 0

From this equation it is seen that the cycloidal curve is a combination of a sine curve and a constant velocity line Figure 312a shows the pure cycloidal curve with point A

Although the size of FixedBankRecord is the exact sum of its members, this may not be the case for all structs that have fixed-size buffers C# is free to pad the overall length of structure so that it aligns on an even boundary (such as a word boundary) for efficiency reasons Therefore, the overall length of a struct might be a few bytes greater than the sum of its fields, even when fixed-size buffers are used In most cases, an equivalent C++ struct would also use the same padding However, be aware that a difference in this regard may be possible One last point: In the program, notice how the fixed-size buffer for Name is created:

Pay special attention to how the dimension of the array is specified The brackets containing the array size follow the array name This is C++-style syntax, and it differs from normal C# array declarations This statement allocates 80 bytes of storage within each FixedBankRecord object

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