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C++ Example of an Alternative Log-Base-Two Routine Based on the Right-Shift Operator
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unsigned int Log2( unsigned int x ) { unsigned int i = 0; while ( ( x = ( x >> 1 ) ) != 0 ) { i++; } return i ; }
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de Complete
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26. Code-Tuning Techniques
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To non-C++ programmers, this code is particularly hard to read. The complicated expression in the while condition is an example of a coding practice you should avoid unless you have a good reason to use it. This routine takes about 350 percent longer than the longer version above, executing in 2.4 seconds rather than 0.66 seconds. But it s faster than the first approach, and adapts easily to 32-bit, 64-bit, and other environments. This example highlights the value of not stopping after one successful optimization. The first optimization earned a respectable 30-40 percent savings but had nowhere near the impact of the second optimization or third optimizations.
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2 KEY POINT
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Use the Correct Type of Constants
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Use named constants and literals that are the same type as the variables they re assigned to. When a constant and its related variable are different types, the compiler has to do a type conversion to assign the constant to the variable. A good compiler does the type conversion at compile time so that it doesn t affect run-time performance. A less advanced compiler or an interpreter generates code for a runtime conversion, so you might be stuck. Here are some differences in performance between the initializations of a floating-point variable x and an integer variable i in two cases. In the first case, the initializations look like this:
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x = 5 i = 3.14
and require type conversions, assuming x is a floating point variable and i is an integer In the second case, they look like this:
x = 3.14 i = 5
and don t require type conversions. Here are the results:
CodeTuned Time 0.000 1.48 1.11 0.000 0.847
Language C++ C# Java Visual Basic PHP
Straight Time 1.11 1.49 1.66 0.721 0.872
Time Savings 100% <1% 33% 100% 3%
Performance Ratio not measurable 1:1 1.5:1 not measurable 1:1
The variation among compilers is once again notable.
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26. Code-Tuning Techniques
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Precompute Results
A common low-level design decision is the choice of whether to compute results on the fly or compute them once, save them, and look them up as needed. If the results are used many times, it s often cheaper to compute them once and look them up the rest of the time. This choice manifests itself in several ways. At the simplest level, you might compute part of an expression outside a loop rather than inside. An example of this appeared earlier in the chapter. At a more complicated level, you might compute a lookup table once when program execution begins, using it every time thereafter, or you might store results in a data file or embed them in a program. In a space-wars video game, for example, the programmers initially computed gravity coefficients for different distances from the sun. The computation for the gravity coefficients was expensive and affected performance. The program recognized relatively few distinct distances from the sun, however, so the programmers were able to precompute the gravity coefficients and store them in a 10-element array. The array lookup was much faster than the expensive computation. Suppose you have a routine that computes payment amounts on automobile loans. The code for such a routine would look like this:
Java Example of a Complex Computation That Could Be Precomputed
double ComputePayment( long loanAmount, int months, double interestRate ) { return loanAmount / ( ( 1.0 - Math.pow( ( 1.0 + ( interestRate / 12.0 ) ), -months ) ) / ( interestRate / 12.0 ) ); }
The formula for computing loan payments is complicated and fairly expensive. Putting the information into a table instead of computing it each time would probably be cheaper. How big would the table be The widest-ranging variable is loanAmount. The variable interestRate might range from 5 percent through 20 percent by quarter points, but that s only 61 distinct rates. months might range from 12 through 72, but that s only 61 distinct periods. loanAmount could conceivably range from
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