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If you ever got into this loop in a case where ESI EBX, ESI would immediately become a negative number because it is decremented at the very beginning This would cause the loop to run unchecked until it either ran into an invalid pointer and crashed or (if the elements point back to each other in a loop) until ESI went back to zero again In a 32-bit machine this would take 4,294,967,296 iterations, which may sound like a lot, but today s high-speed processors might actually complete this many iterations so quickly that if it happened rarely the programmer might actually miss it! This is why from a programmer s perspective crashing the program is sometimes better than letting it keep on running with the problem it simplifies the program s stabilization process When our loop ends the code takes an unconditional jump to ntdll 7C96254E.

4 25.223633 3.924214 0.225104 0.342269 0.500000 0.530037 0.425158 0.621088 0.658400 0.935349 0.310544 0.012349 3.4633 1.472440 2.150997 2.280218

Let s see what happens there..

3.4633 1.471572 2.150653 2.281102

Well, very interesting indeed. Here, you can get a clear view on what offsets +C and +10 in the root data structure contain. It appears that this is some kind of an optimization for quickly searching and traversing the table. Offset +C receives the pointer to the element you ve been looking for (the one you ve reached by going through the loop), and offset +10 receives that element s index. Clearly the reason this is done is so that repeated calls to this function

16

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(and possibly to other functions that traverse the list) would require as few iterations as possible. This code then proceeds into ntdll.7C962554, which you ve already looked at. ntdll.7C962554 skips the element s header by adding 12 and returns that pointer to the caller. You ve now established the basics of how this function works, and a little bit about how a generic table is laid out. Let s proceed with the other major cases that were skipped over earlier. Let s start with the case where the condition ESI < EBX is satisfied (the actual check is for ESI EBX, but you could never be here if ESI == EBX). Here is the code that executes in this case.

Values of Statistical Parameters = 22 kN/m3 c = 5 kPa tan = 0.267949 ( = 15 ) = 2.2 kN/m3 ( = 0.1) c = 0.5 kPa ( = 0.1) tan = 0.018756 ( = 0.07) H = 10 m = 20 = 26

7C96252B 7C96252D 7C96252F 7C962531 7C962532 7C962534 7C962536 7C962538 MOV EDI,EBX SUB EDX,EBX SUB EDI,ESI INC EDX CMP EDI,EDX JA SHORT ntdll.7C962541 TEST EDI,EDI JE SHORT ntdll.7C96254E

This code performs EDX = (Table->TotalElements ElementToGet + 1) + 1 and EDI = ElementToGet + 1 LastIndexFound. In plain English, EDX now has the distance (in elements) from the element you re looking for to the end of the list, and EDI has the distance from the element you re looking for to the last index found.

If the variances in the uncertain variables are increased and the mean of tan is set at 0.577350 (corresponding to = 30 ), the results are as shown in Table 16.2. The convergence is slower, but the results of the Rackwitz iteration and the built-in minimization again agree to seven signi cant gures after eight iterations. When the mean frictional contribution corresponds to = 15 , the factor of safety computed from the mean values of the variables is 1.294, and, when it corresponds to = 30 , the factor of safety becomes 2.144. However, Tables 16.1 and 16.2 show that the larger uncertainties in the latter case lower the reliability. If one calculates the exact values of the mean and standard deviation of the margin of safety and the reliability index as their ratio, the results are Case of Table 16.1 M = 2.6333 M = 0.7224 Case of Table 16.2 M = 10.2593 M = 4.1517 = 2.4711 = 3.6452

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