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In this example, only two versions of MyMeth( ) are defined: one that has an int parameter and one that has a double parameter However, it is possible to pass MyMeth( ) a byte, short, or float value In the case of byte and short, C# automatically converts them to int Thus, MyMeth(int) is invoked In the case of float, the value is converted to double and MyMeth(double) is called It is important to understand, however, that the implicit conversions apply only if there is no exact type match between a parameter and an argument For example, here is the preceding program with the addition of a version of MyMeth( ) that specifies a byte parameter:

// Add MyMeth(byte) using System; class Overload2 { public void MyMeth(byte x) { ConsoleWriteLine("Inside MyMeth(byte): " + x); } public void MyMeth(int x) { ConsoleWriteLine("Inside MyMeth(int): " + x); } public void MyMeth(double x) { ConsoleWriteLine("Inside MyMeth(double): " + x); } }

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This curve is similar to the constant acceleration and the cubic no 1 curves It differs from these, however, in that there is no discontinuity in acceleration at the transition point and also in that its acceleration is a continuous curve for the complete rise Similar to the constant acceleration curve, it has the disadvantages of discontinuity in acceleration at the beginning and the end of the stroke The cubic curve has characteristics similar to those of the simple harmonic motion curve presented next It is not often employed but has advantages when used in combination with other curves No simple construction method is available The characteristic formulas can be found by the same method as that shown for the parabolic curve Displacement y =h y = 2q q2 3 - b2 b q 1 - b (246)

j =1

Part I:

class TypeConv { static void Main() { Overload2 ob = new Overload2(); int i = 10; double d = 101; byte b = 99; short s = 10; float f = 115F;

(247)

obMyMeth(i); // calls obMyMeth(int) obMyMeth(d); // calls obMyMeth(double) obMyMeth(b); // calls obMyMeth(byte) -- now, no type conversion obMyMeth(s); // calls obMyMeth(int) -- type conversion obMyMeth(f); // calls obMyMeth(double) -- type conversion } }

j =1

Now when the program is run, the following output is produced:

(248)

Inside Inside Inside Inside Inside MyMeth(int): 10 MyMeth(double): 101 MyMeth(byte): 99 MyMeth(int): 10 MyMeth(double): 115

In this version, since there is a version of MyMeth( ) that takes a byte argument, when MyMeth( ) is called with a byte argument, MyMeth(byte) is invoked and the automatic conversion to int does not occur Both ref and out participate in overload resolution For example, the following defines two distinct and separate methods:

(249)

public void MyMeth(int x) { ConsoleWriteLine("Inside MyMeth(int): " + x); } public void MyMeth(ref int x) { ConsoleWriteLine("Inside MyMeth(ref int): " + x); }

2 k 2 + k 8 2k 3 + 3k 2 + k 8 + 2+ 3 k 3k 2 6 3k 3k 2 4 16 = + 3 3 18 2 = 9 3 3 x3 2 3 4 x + 7x x 4x + 7 dx = 3 1 1 = lim k 13 14 + 7 1 3 172 = (9 81 + 21) (1/3 1 + 7) = 3 = 33 34 + 7 3 3

Thus,

This curve (having a cosine acceleration curve) is a very popular choice in combination with other curves in Chap 3 In Fig 28, the projection of a radius point P starting at point O moves vertically at point Q along the diameter h of the circle with simple harmonic motion Let f = angle of rotations with radius The basic harmonic motion displacement function is y= h (1 - cos f ) 2 (250) h 2

obMyMeth(i)

obMyMeth(ref i)

4

h Displacements are taken at angular 2 increments moving through angle f the same increments along the displacement curve The relationship between angle f, the generating circle, and the cam angle q is The construction of Fig 28 uses a circle of radius f p = q b (251)

invokes MyMeth(ref int x)

8:

Jerk y'" =

Although ref and out participate in overload resolution, the difference between the two alone is not sufficient For example, these two versions of MyMeth( ) are invalid:

2 3 3

// Wrong! public void MyMeth(out int x) { // public void MyMeth(ref int x) { //

Acceleration, y" y, y', y", y'" Velocity, y'

.

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