# Static testing

Static testing analyses the code characteristics without executing the application. It can be considered as an automated code review. It checks the style and structure of the code, and can be used to statically evaluate all possible code paths in the System Under Test (SUT). Static analysis can quickly find low-hanging fruit bugs that can be found in the source code, e.g. using deprecated functions. Static analysis tools are scalable and generally require less time to set up. PMD, Checkstyle, Checkmarx are some common static analysis tools.

The classical approach underlying static analysis is checking the code for potential structural and/or stylistic rule violations. A code checker typically contains a parser and an acceptable rule set. We look at the following techniques for static analysis:

1. Pattern matching via Regular expressions
2. Syntax analysis via Abstract Syntax Trees

## Pattern matching

Pattern matching is a code checking approach that searches for pre-defined patterns in code. A Regular expression or RegEx is a sequence of characters that represent a pattern. Simply put, a regex engine reads code character-by-character and upon every character-match, progresses through the regular expression until no more characters remain. Depending on the logic, either a positive/negative reaction is returned indicating whether the final state was an accepting/rejecting state, or all code snippets that matched the pattern are returned.

Regular expressions are usually represented using Finite State Automaton. Each node represents a state. We move from one state to the next by taking the transition that matches the input symbol. Below you see a few examples of regular expressions and their corresponding finite state automata. The node with a black arrow is called the starting state. Green states are accepting states, and red states are rejecting states.

The automata for the regular expression 'bug' is shown below. An input string bug will transition from left to right, until we end up in the green state. However, the string bag will move from first state to the second state, and then to the red state. Since there is no transition out of this state, we will stay here until the input finishes.

Regex also have options to introduce wildcard characters. For example, the regular expression '.*bug' results in the following automata. . denotes any possible character, and * denotes 0 or many times. Hence, it accepts any string that ends in bug. The following strings will be accepted by this pattern: bug, this is a bug, bad bug, and bugbug. bug! will be rejected by this pattern. Note that this is a non-deterministic automata since there are two possible transitions for the symbol b in the first state.

The automata for '.*bug.*' is given below. It will accept any string that contains b, u, g consecutively, at least once. In this case, even bug! will be accepted.

While regular expressions are a fast and powerful pattern matching technique, their biggest limitation is that they don't take semantics into account, ending up with many false positives. For example, consider the following code snippet. Suppose that the regular expression, \s*System.out.println$$.*$$;, searches for all print statements in the code to remove them before deployment. It will find three occurrences in the code snippet, which are all FPs because the code is already disabled by a flag.

boolean DEBUG = false;

if (DEBUG){
System.out.println("Debug line 1");
System.out.println("Debug line 2");
System.out.println("Debug line 3");
}


## Syntax analysis

A more advanced code checking approach is syntax analysis. It works by deconstructing input code into a stream of characters, that are eventually turned into a Parse Tree. Tokens are hierarchal data structures that are put together according to the code's logical structure.

A Parse Tree is a concrete instantiation of the code, where each character is explicitly placed in the tree, whereas an Abstract Syntax Tree (AST) is an abstract version of the parse tree in which syntax-related characters, such as semi-colon and parentheses, are removed. An example of the AST of the code snippet above is given below.

A static analysis tool using syntax analysis takes as input (a) an AST, and (b) a rule-set, and raises an alarm in case a rule is violated. For example, for a rule allowing at most 3 methods, and the following code snippet, the AST will be parsed and an error will be raised for violating the rule. Contrarily, a very complicated regular expression would be needed to handle the varying characteristics of the four available methods, potentially resulting in false positives.

Abstract Syntax Trees are used by compilers to find semantic errors — compile-time errors associated to the meaning of the program. ASTs can also be used for program verification, type-checking, and translating the program from one language to another.

## Performance of static analysis

Typically, static analysis produces sound results, i.e. zero false negatives. This is because the tools have access to the whole codebase, and they can track all the possible execution paths a program might take. So, if there are any vulnerabilities, the tool should be able to find them. However, this comes at the cost of Completeness. Because it tracks all possible execution paths without seeing how the application behaves in action, some of the results might never be reached in an actual execution scenario, resulting in false positives.

Note that static analysis can produce unsound results if a piece of code is added at runtime, because then the analysis will not be done on the new code-piece. This is one reason why the signatures that static analysis uses to detect bugs need to be kept up-to-date as the codebase evolves. However, this strategy will still not work for dynamically induced bugs.

Soundness and Completeness are defined more extensively in the Security testing chapter.

## Exercises

Exercise 1. Regular expressions CANNOT DO which of the following tasks?

1. Matching patterns
2. Detect semantics
3. Define wild cards
4. Detect coding mistakes

Exercise 2. Given that a static analysis tool can view the entire codebase, what is the quality of results that the analysis will produce?

1. Sound and Complete
2. Sound but Incomplete
3. Unsound but Complete
4. Unsound and Incomplete

Exercise 3. Create an Abstract Syntax Tree for the following code snippet:

(a + b) * (c - d)