Test vector

In computer science and engineering, a test vector is a set of inputs provided to a system in order to test that system.

Rationale

In computer science and engineering, a system acts as a computable function. An example of a specific function could be y = f(x) where y is the output of the system and x is the input; however, most systems' inputs are not one-dimensional. When the inputs are multi-dimensional, we could say that the system takes the form y = f(x_1, x_2, ...) ; however, we can generalize this equation to a general form Y = C(X) where Y is the result of the system's execution, C belongs to the set of computable functions, and X is an input vector. While testing the system, various test vectors must be used to examine the system's behavior with differing inputs.

Example

For an example, consider a login page with two input fields: a username field and a password field. In that case, the login system can be described as:


y = L(u,p)

with y \in \{ true , false \} and u,p \in \{ String \}, with true designating login successful, and false designating login failure, respectively.

Making things more generic, we can suggest that the function L takes input as a 2-dimensional vector and outputs a one-dimensional vector (scalar). This can be written in the following way:-


Y = L(X)

with 
X = [ x_1, x_2 ]=[u,p] \; ; \; Y = [ y_1 ]

In this case, X is called the input vector, and Y is called the output vector.

In order to test the login page, it is necessary to pass some sample input vectors \{X_1, X_2, X_3, ...\}. In this context X_i is called a test vector.

See also

References

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