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MemoryBugsViewController.mm ... // Implement viewDidLoad to do additional setup after loading the view, typically // from a nib. - (void)viewDidLoad { [super viewDidLoad]; } ...

mine the angular velocity, and then the angular velocity can be integrated to give the angular position:

(t) =

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(7.16) (7.17)

If you look at the TestCPPClass code, you ll notice that I mention that one of the values will get stomped. The term memory stomp is used when something changes a value in memory that it wasn t supposed to change. Mem stomps (as I ll refer to them) occur in a lot of different ways, but in my experience these are the three most common ways you ll encounter a mem stomp: Buffer overruns Calling a method on an object that has been deleted Returning from a callback into an object that has been deleted

(t) =

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where the 0t + 0 term represents the constant-speed position In the more usual instance, the torque is known only as a function of angle For small values of Cs , however, the torque-time curve is indistinguishable from the torque-angle curve with the angle coordinate divided by avg Example 4 A generator with the input torque given in Fig 73a must maintain an angular position within 025 degrees of the uniform 200-rpm position Assuming a uniform load, what flywheel inertia is necessary For illustration purposes, the machine cycle will be divided into 10 intervals of t = 003 s each, as shown in Fig 73a For an accurate solution, the problem would be programmed with perhaps 20 intervals The torque at each step is tabulated (column 3 in Table 73), and then the average torque in each interval is placed in column 4.

This value, if multiplied by t, would be the area below the curve using the trapezoid rule Adding these average torques (column 5) and dividing by 10 intervals gives the average torque for the curve, 902 lb ft (column 6), shown as the dashed line in Fig 73a Subtracting this average, the constant loading torque, from column 4 gives column 7, the average excess of supplied torque in each interval The running sum of these values (column 8) performs the integration, to give J / t (see Fig 73b) The relative speed at the end of each interval is therefore the value in column 8 times t/J The procedure is repeated for the second integration, giving columns 9 through 13 Column 13 is then J /( t)2 (Fig 73c), so that the relative angular position is the value in column 13 times t 2/J.

5102.7-

The maximum range in column 13 is 6915 ( 7725) = 14 640 lb ft The maximum angular deviation from the mean position is calculated from half the maximum range, so that max = ( t)2 (14 640) J(2) (718).

This is one of the most common ways to cause a mem stomp in C/C++. However, you ll recall that at the beginning of the chapter I mentioned that NSArray and NSMutableArray make this hard to do. This is because once you ve create an NSArray, you can t change the contents, and the NSArray will generate errors if you try to write out of bounds of the array. This is extremely useful. The NSMutableArray, on the other hand, will grow in a safe way if you try to write beyond the bounds of the existing array, making things safer for you (at a potential performance cost). However, in C/C++, overrunning a buffer is as simple as iterating one too many times in a loop. For example:

For max = 0.25 degrees = 0.004 36 rad deviation, this gives J= 0.032(14 640) = 1511 lb s2 ft 0.004 36(2) (7.19)

The speed variation is determined as a by-product of the process. The maximum range in column 8 is 9878 0 = 9878 lb ft. The maximum speed variation is then max min = t(9878) 0.03(9878) = = 0.196 rad/s J 1511 (7.20)

For avg = 2 (200)/60 = 20.94 rad/s, the coefficient of speed fluctuation is then, from Eq. (7.1), Cs = 0.196 = 0.009 36 20.94 (7.21)

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