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You can allocate memory from the stack by using stackalloc It can be used only when initializing local variables and has this general form: type *p = stackalloc type[size] Here, p is a pointer that receives the address of the memory that is large enough to hold size number of objects of type Also, type must be a nonreference type If there is not room on the stack to allocate the memory, a SystemStackOverflowException is thrown Finally, stackalloc can be used only in an unsafe context Normally, memory for objects is allocated from the heap, which is a region of free memory Allocating memory from the stack is the exception Variables allocated on the stack are not garbage-collected Rather, they exist only while the method in which they are declared is executing When the method is left, the memory is freed One advantage to using stackalloc is that you don t need to worry about the memory being moved about by the garbage collector Here is an example that uses stackalloc:

The modi ed sine curve (Chen, 1982; Schmidt, 1960) is a combination of quarter sine wave curves In terms of its torsional action, the change from positive to negative torque occurs in over 40 percent of the travel time This attribute makes this curve attractive as a choice in moving large masses such as indexing intermittent turrets Its lower torque and power demand make the modi ed sine curve one of the best choices of curves Figure 39a shows the basic cycloidal curve from which the combination curve is developed, and Fig 39b shows the displacement and the acceleration diagram of the modi ed sine curve The primed symbols used in the drawing refer to the basic cycloidal curve One-half of the rise is divided into the following segments; the follower is accelerated b from A to B: from q = 0 to q = with a quarter sine wave, and the acceleration decreased 8 from q = b to q = b , again with a quarter sine wave The equato zero from B to C 8 2 tions of cycloidal motion from A to B, given that b/8 is the length of the initial quarter sine wave, are: q 1 2q y = h sin 4p b 2p b y = y = h q 2 - 2 cos 4p b b 8p h q sin 4p 2 b b

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// Demonstrate stackalloc using System; class UseStackAlloc { unsafe static void Main() { int* ptrs = stackalloc int[3]; ptrs[0] = 1; ptrs[1] = 2; ptrs[2] = 3; for(int i=0; i < 3; i++) ConsoleWriteLine(ptrs[i]); } }

The output is shown here:

The natural logarithm can be used to reduce an expression involving exponentials to one involving a product or a quotient

Displacement Displacement acceleration Acceleration Acceleration Displacement B' h' A Cam angle q b 8 b 8 3b 4 b (b) Modified sine curve b 8 B C h

1 2 3

One way to give a variable a value is through an assignment statement, as you have already seen Another way is by giving it an initial value when it is declared To do this, follow the variable s name with an equal sign and the value being assigned The general form of initialization is shown here: type var-name = value; Here, value is the value that is given to the variable when it is created The value must be compatible with the specified type Here are some examples:

(314)

int count = 10; // give count an initial value of 10 char ch = 'X'; // initialize ch with the letter X float f = 12F; // f is initialized with 12

x

When declaring two or more variables of the same type using a comma-separated list, you can give one or more of those variables an initial value For example:

The sine curve from B to C characteristics are: qy = y1 + C1 + C2 y = b 8 + C sin 4pq + p 3 3b 3 b (315)

Although the preceding examples have used only constants as initializers, C# allows variables to be initialized dynamically, using any expression valid at the point at which the variable is declared For example, here is a short program that computes the hypotenuse of a right triangle given the lengths of its two opposing sides

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