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The rst moment of a continuous function is the mean or expected value of the variable. The second moment taken about X is the variance, and so forth. Algebraic manipulation gives

Oh dear!

Figure A.12 demonstrates how the preceding switch block can be viewed as a tree by the compiler and presents the compiler-generated assembly code that implements each tree node.

One relatively unusual quality of tree-based n-way conditionals that makes them a bit easier to make out while reading disassembled code is the numerous subtractions often performed on a single register. These subtractions are usually followed by conditional jumps that lead to the specific case blocks (this layout can be clearly seen in the 501_Or_Below case in Figure A.12). The compiler typically starts with the original value passed to the conditional block and gradually subtracts certain values from it (these are usually the case block values), constantly checking if the result is zero. This is simply an efficient way to determine which case block to jump into using the smallest possible code.

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When you think about it, a loop is merely a chunk of conditional code just like the ones discussed earlier, with the difference that it is repeatedly executed, usually until the condition is no longer satisfied. Loops typically (but not always) include a counter of some sort that is used to control the number of iterations left to go before the loop is terminated. Fundamentally, loops in any high-level language can be divided into two categories, pretested loops, which contain logic followed by the loop s body (that s the code that will be repeatedly executed) and posttested loops, which contain the loop body followed by the logic. Let s take a look at the various types of loops and examine how they are represented in assembly language,

(A.18)

Pretested loops are probably the most popular loop construct, even though they are slightly less efficient compared to posttested ones. The problem is that to represent a pretested loop the assembly language code must contain two jump instructions: a conditional branch instruction in the beginning (that will terminate the loop when the condition is no longer satisfied) and an unconditional jump at the end that jumps back to the beginning of the loop. Let s take a look at a simple pretested loop and see how it is implemented by the compiler:

Advice from Simon Hiscocks:

c = 0; while (c < 1000) { array[c] = c; c++; }

The skewness coef cient is based on the third moment:

You can easily see that this is a pretested loop, because the loop first checks that c is lower than 1,000 and then performs the loop s body. Here is the assembly language code most compilers would generate from the preceding code:

mov xor LoopStart: mov add cmp jl ecx, DWORD PTR [array] eax, eax DWORD PTR [ecx+eax*4], eax eax, 1 eax, 1000 LoopStart

X =

It appears that even though the condition in the source code was located before the loop, the compiler saw fit to relocate it. The reason that this happens is that testing the counter after the loop provides a (relatively minor) performance improvement. As I ve explained, converting this loop to a posttested one means that the compiler can eliminate the unconditional JMP instruction at the end of the loop. There is one potential risk with this implementation. What happens if the counter starts out at an out-of-bounds value That could cause problems because the loop body uses the loop counter for accessing an array. The programmer was expecting that the counter be tested before running the loop body, not after! The reason that this is not a problem in this particular case is that the counter is explicitly initialized to zero before the loop starts, so the compiler knows that it is zero and that there s nothing to check. If the counter were to come from an unknown source (as a parameter passed from some other, unknown function for instance), the compiler would probably place the logic where it belongs: in the beginning of the sequence. Let s try this out by changing the above C loop to take the value of counter c from an external source, and recompile this sequence. The following is the output from the Microsoft compiler in this case:

3 X

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