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Warnings are one of the most basic ways in which you can get Perl to check the quality of the code that you have produced As the name suggests, they just raise a simple warning about a particular construct that Perl thinks is either potentially dangerous or ambiguous enough that Perl may have made the wrong decision about what it thought you were trying to do There are actually two types of warning, mandatory warnings and optional warnings: I Mandatory warnings highlight problems in the lexical analysis stage

19:

with the desired rotation matrix being the lower right 3 3 matrix Based on the above analysis, the rotation matrix for transforming vectors from a frame to b frame can be computed from the quaternion b using the expression

When you want to set a specific number of iterations in a loop, the for loop has a simple structure:

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for (loop variable initial; termination condition; change loop variable) { //statements }

R(b) = b2 + b2 b2 b2 1 2 3 4 2(b2 b3 + b1 b4 ) 2(b2 b4 b1 b3 ) 2(b2 b3 b1 b4 ) b2 b2 + b2 b2 1 2 3 4 2(b1 b2 + b3 b4 ) 2(b1 b3 + b2 b4 ) 2(b3 b4 b1 b2 ) b2 b2 b2 + b2 1 2 3 4 (D13)

Generally, you will see the loop begin with an integer variable, followed by a termination statement using a relational operator, and ended by an increment or decrement of the variable For example, the following loop sets the beginning value of the loop variable to 0 and checks to see that as long as it is less than 12, it continues iterations:

for (int loopvar = 0; loopvar < 12; loopvar++)

In this case, it has 12 iterations with loopvar values of 0 11 To see a visual use of the for loop, the following application illustrates how the loop variable changes with each iteration

where R(b) is used as a shorthand for Rb (b) to simplify the notation below a Using the vector form of the quaternion, Eqn (D13) can be compactly expressed as (D14) R(b) = b2 b b I + 2bb + 2b1 [b ] 1 where I is the identity matrix for R3 and the nal simpli cation uses the fact that [b ][b ] = bb b bI Typical applications integrate the quaternion at a high rate and only compute Rb at a lower rate as needed for other computations a

<%@ Page Language="C#" AutoEventWireup="true" CodeFile="Loopaspxcs" Inherits="LoopTest" %> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 10 Transitional//EN" "http://wwww3org/TR/xhtml1/DTD/xhtml1-transitionaldtd"> <html xmlns="http://wwww3org/1999/xhtml"> <head id="Head1" runat="server"> <title>For Loop</title> </head> <body> <form id="form1" runat="server"> <div> <asp:TextBox ID="Output" runat="server" Width="450" Height="30" /> </div> </form> </body> </html>

using System; public partial class LoopTest : SystemWebUIPage { private int loopcount; protected void Page_Load(object sender, EventArgs e) { for (loopcount = 0; loopcount < 25; loopcount++) { OutputText += loopcount + "-"; } OutputText += "End of loop"; } }

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D21

When you test this application, you will see a long, narrow text box with the values from 0 to 24 and then the message that the end of the loop has been reached The key line in the loop is the following:

for (loopcount = 0; loopcount < 25; loopcount++)

The loopcount integer variable begins at 0, and each time through the loop, the statement checks to see if loopcount is less than 25 If it is, then one is added to the

If the matrix Rb is known, then the quaternion can be computed from eqn a (D13) as 1 1 + Rb [1, 1] + Rb [2, 2] + Rb [3, 3] a a a 2 Rb [3,2] Rb [2,3] a a 4b1 (D15) b= Rb [1,3] Rb [3,1] a a 4b1

Figure 3-4

loopcount variable (loopcount++) and the loop executes again Figure 3-4 shows the output you can expect to see You can perform the same action with each iteration, or you can use the loop variable to generate different outcomes

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