Under certain conditions we can combine results from similar tests or various indices into a single figure, and the term metric will be used to describe the "units" of performance for this benchmarking mix. The final result of any benchmarking procedure is always a set of numerical results which we can call speed or performance (for that particular aspect of our system effectively tested by the piece of code). An index has no units, it is just a relative measurement. Obviously, the performance index for the reference machine is 1.0. System under examination by the baseline results, we obtain a performance index. The reference machine's results are called the baseline results. Sometimes, figures obtained from standard benchmarks on a system being tested are compared with the results obtained on a reference machine.
BENCHMARK DEFINITION IN MATH CODE
Tate of some sort, but this would increase the complexity of the code and produce results that would probably be next to impossible to analyze and compare. self-modifying code or measuring the time needed to reach a steady s On the other hand, if the system being tested is able to execute thousands of iterations of our test code per second, procedure 2 should be chosen.īoth procedures 1 and 2 will yield final results in the form "seconds/iteration" or "iterations/second" (these two forms are interchangeable). If a single iteration of our test code takes a long time to execute, procedure 1 will be preferred. Measuring the number of iterations of a specific piece of code executed by the system under examination in a fixed amount of time.Measuring the time it takes for the system being examined to loop through a fixed number of iterations of a specific piece of code.1.2 Benchmark resultsįrom the definition of a benchmark, one can easily deduce that there are two basic procedures for benchmarking: Ow the same procedure can be applied to other systems, so that comparisons can be made between different hardware/software configurations. It is assumed that this time is related to the performance of the computer system and that someh Basic concepts and definitions 1.1 BenchmarkĪ benchmark is a documented procedure that will measure the time needed by a computer system to execute a well-defined computing task. Of a classic benchmark, "Whetstone", is analyzed in more detail.Ģ. This article deals with the fundamentalĬoncepts in computer benchmarking, as they apply to the Linux OS.
BENCHMARK DEFINITION IN MATH SERIES
Niemi is the first article in a series of 4 articles on Linux Benchmarking, Balsa corrections and contributions by Uwe F. Linux Benchmarking - Concepts by André D. \Īll the images are created using GeoGebra."Linux Gazette. Now, putting the values on the right-hand side of the equation gives: What is cos(A + B) if A and B are the benchmark angles where A = 30° and B = 60°? Also, prove the trigonometric property:Ĭos(A + B) = cos(A).cos(B) – sin(A).sin(B) SolutionĪt first, putting the benchmark angles in cos(A + B) gives the result as follows:Ĭos(A + B) = cos(30° + 60°) = cos(90°) = 0 These approximations help determine how large or small an angle is from the benchmark angles. The angles such as 360° co-terminal to 0° and other co-terminal angles are also considered quadrantal angles.įigure 2 shows the four quadrantal angles.įigure 8 – Estimating 100° Through the 90° Benchmark Angle In radians, the quadrantal angles are 0, π/2, π, and 3π/2 rad. These are 0°, 90°, 180°, and 270° with one ray lying on +x-axis, +y-axis, -x-axis, and -y-axis respectively. They lie on the boundaries of the four quadrants. Quadrantal angles are the angles whose one ray lies on the coordinate axes which are the x and y axes. These types of Benchmark angles are explained below. These are the quadrantal angles, the 30°, 45°, and 60° angles.Īll the other benchmark angles are the reference angles of 30°, 45°, and 60° angles. Types of Benchmark Anglesīenchmark angles play an essential role in trigonometry and can be divided into four major types. The word “ Benchmark” refers to a known standard that sets its values to be analyzed, compared, and measured against other values that are not commonly used.Īn angle consists of two rays whose endpoints are joined at a point known as the vertex. Figure 1 – Demonstration of Benchmark Angles Introduction to the Terminology
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