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for (int q = 0; q < boardSize; ++q) { row // Check if queen can be placed in column q of next boolean attacked = false; for (int i = 0; i < row; ++i) { int p = sofar[i]; if (q == p || q == p - (row-i) || q == p + (row-i)) attacked = true; break;

10:13

DECLARE_STANDARD_EXTENSION() { // create LCD power handler TInt r = KErrNoMemory; DLcdPowerHandler* pH = new DLcdPowerHandler; // LCD specific initialisation omitted for clarity if(pH != NULL) { r = Kern::AddHalEntry(EHalGroupDisplay, halFunction, pH); } return r; }

10.4.1.1 Time Averages. At this point, we will compute queue time averages based on the queue Palm probabilities computed in Theorem 10.4.1. For this we on need a stationary version as of the on=off arrival process at . Let Tn ; I < t n < I, be a stationary point process that represents the beginnings of the on=off on on periods, with a convention that T0 < 0 T1 . Then, according to Resnick and on on Samorodnitsky [51], the random variable T0 can be represented as T0 off on on on off B t 0 t0 1 B t 0 , where the random variables B, t 0 , t 0 are independent of fton ; toff ; n 1g; toff , B is a Bernoulli random variable with n n 0 P B 0 1 P B 1 Eton = Eton Etoff , and ton , toff are distributed as 0 0 integrated tail distributions of ton , toff , respectively. Furthermore, the net increment

// If so, fork to explore moves from new configuration if (!attacked) { // build extended board representation int[] next = new int[row+1];

This creates the LCD driver and registers a HAL handler (halFunction) for the EHalGroupDisplay group, passing a pointer to the LCD driver for context when the handler is invoked. When a client makes a HAL request, halFunction is invoked, which is implemented as follows (most HAL functions omitted for clarity):

of the load that comes to the queue in the interval T0 ; 0 is given by the following equation: 0 as c dt B r c ton ctoff 1 B r c ton : 10:14 t 0 0 0

10:15 10:16

LOCAL_C TInt halFunction(TAny* aPtr, TInt aFunction, TAny* a1, TAny* a2) { DLcdPowerHandler* pH=(DLcdPowerHandler*)aPtr; return pH->HalFunction(aFunction,a1,a2); } TInt DLcdPowerHandler::HalFunction(TInt aFunction, TAny* a1, TAny* a2) { TInt r=KErrNone; switch(aFunction) { case EDisplayHalScreenInfo: { TPckgBuf<TScreenInfoV01> vPckg; ScreenInfo(vPckg()); Kern::InfoCopy(*(TDes8*)a1,vPckg); break; }

} } } }

as x 3 I;

case EDisplayHalSecure: kumemput32(a1, &iSecureDisplay, sizeof(TBool)); break; case EDisplayHalSetState: { if(!Kern::CurrentThreadHasCapability(ECapabilityPowerMgmt, NULL)) return KErrPermissionDenied; if ((TBool)a1) WsSwitchOnScreen(); else WsSwitchOffScreen(); } default: r=KErrNotSupported; break; } return r; }

10:17

for (int k = 0; k < row; ++k) next[k] = sofar[k]; next[row] = q; new NQueens(next)fork();

REMARK 10.4.3. (i) This theorem improves on known results [16, 51] that were obtained under the assumption of ton being regularly varying. (ii) The following proof can be carried out to establish the relationship between the Palm and time averages in much more general settings like semi-Markov uid queues. Most of the results in this chapter can be found elsewhere and therefore these proofs are omitted. Here, as an illustration of a subexponential proving technique, the following proof of Theorem 10.4.2 is presented. This proof is taken from Jelenkovic and Lazar [35]. Proof. Let fQt ; I < t < Ig be a unique stationary solution to Eq. (10.12). Then, by using Eq. (10.14), and the independence of B of QT0 , toff , ton , toff , we 0 0 0 obtain P Q0 > x P Q0 > x; B 1 P Q0 > x; B 0 P QT0 ton r c ctoff > x; B 1 0 0 P QT0 r c ton > x; B 0 0 Etoff P QT0 ton r c ctoff > x 0 0 Etoff on Et P QT0 r c ton > x : on 0 Et Eton Eton

Note in particular how this example performs API policing and safely accesses user-side memory using the APIs described in Sections 12.1.7 and 12.1.8. These are absolutely essential when implementing HAL handlers, device drivers or any other service that responds to requests from user-side code.

10:18

In this section of the chapter I ll be discussing device drivers in a little more depth. I ll talk about the execution model, and about how to create a device driver. I ll also discuss how user code interacts with a device driver. To make this concrete, I ll be walking through the creation of my own device driver, a simple comms driver. But rst, let s look at the device driver counterpart to the extension s entry point macros.

(Note that QP QT0 ). Since QT0 and ton are independent and subexponential and 0 0 have asymptotically proportional (equivalent) tails, by applying Lemma 5(ii)(A) of

A number of computationally intensive algorithms involve tasks of the form: