Branch Coverage

In computer science, test coverage is a percentage measure of the degree to which the source code of a program is executed when a particular test suite is run. A program with high test coverage has more of its source code executed during testing, which suggests it has a lower chance of containing undetected software bugs compared to a program with low test coverage. Many different metrics can be used to calculate test coverage. Some of the most basic are the percentage of program subroutines and the percentage of program statements called during execution of the test suite.

Test coverage was among the first methods invented for systematic software testing. The first published reference was by Miller and Maloney in ''Communications of the ACM'', in 1963.

Coverage criteria

To measure what percentage of code has been executed by a test suite, one or more ''coverage criteria'' are used. These are usually defined as rules or requirements, which a test suite must satisfy.

Basic coverage criteria

There are a number of coverage criteria, but the main ones are:
* Function coveragehas each function (or subroutine) in the program been called?
* Statement coveragehas each statement in the program been executed?
* Edge coveragehas every edge in the control-flow graph been executed?
** Branch coveragehas each branch (also called the DD-path) of each control structure (such as in ''if'' and ''case'' statements) been executed? For example, given an ''if'' statement, have both the ''true'' and ''false'' branches been executed? (This is a subset of edge coverage.)
* Condition coveragehas each Boolean sub-expression evaluated both to true and false? (Also called predicate coverage.)

For example, consider the following C function:

int foo (int x, int y)

Assume this function is a part of some bigger program and this program was run with some test suite.
* ''Function coverage'' will be satisfied if, during this execution, the function foo was called at least once.
* ''Statement coverage'' for this function will be satisfied if it was called for example as foo(1,1), because in this case, every line in the function would be executed—including z = x;.
* ''Branch coverage'' will be satisfied by tests calling foo(1,1) and foo(0,1) because, in the first case, both if conditions are met and z = x; is executed, while in the second case, the first condition, (x>0), is not satisfied, which prevents the execution of z = x;.
* ''Condition coverage'' will be satisfied with tests that call foo(1,0), foo(0,1), and foo(1,1). These are necessary because in the first cases, (x>0) is evaluated to true, while in the second, it is evaluated to false. At the same time, the first case makes (y>0) false, the second case does not evaluate (y>0) (because of the lazy-evaluation of the boolean operator), the third case makes it true.

Condition coverage does not necessarily imply branch coverage. For example, consider the following code fragment:

if a and b then

Condition coverage can be satisfied by two tests:
* a=true, b=false
* a=false, b=true
However, this set of tests does not satisfy branch coverage since neither case will meet the if condition.

Fault injection may be necessary to ensure that all conditions and branches of exception-handling code have adequate coverage during testing.

Modified condition/decision coverage

A combination of function coverage and branch coverage is sometimes also called decision coverage. This criterion requires that every point of entry and exit in the program has been invoked at least once, and every decision in the program has taken on all possible outcomes at least once. In this context, the decision is a boolean expression comprising conditions and zero or more boolean operators. This definition is not the same as branch coverage,Position Paper CAST-10 (June 2002).
What is a "Decision" in Application of Modified Condition/Decision Coverage (MC/DC) and Decision Coverage (DC)?
' however, the term ''decision coverage'' is sometimes used as a synonym for it.MathWorks.

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Condition/decision coverage requires that both decision and condition coverage be satisfied. However, for safety-critical applications (such as avionics software) it is often required that modified condition/decision coverage (MC/DC) be satisfied. This criterion extends condition/decision criteria with requirements that each condition should affect the decision outcome independently.

For example, consider the following code:

if (a or b) and c then

The condition/decision criteria will be satisfied by the following set of tests:
* a=true, b=true, c=true
* a=false, b=false, c=false
However, the above tests set will not satisfy modified condition/decision coverage, since in the first test, the value of 'b' and in the second test the value of 'c' would not influence the output. So, the following test set is needed to satisfy MC/DC:
* a=false, b=true, c=false
* a=false, b=true, c=true
* a=false, b=false, c=true
* a=true, b=false, c=true

Multiple condition coverage

This criterion requires that all combinations of conditions inside each decision are tested. For example, the code fragment from the previous section will require eight tests:
* a=false, b=false, c=false
* a=false, b=false, c=true
* a=false, b=true, c=false
* a=false, b=true, c=true
* a=true, b=false, c=false
* a=true, b=false, c=true
* a=true, b=true, c=false
* a=true, b=true, c=true

Parameter value coverage

Parameter value coverage (PVC) requires that in a method taking parameters, all the common values for such parameters be considered. The idea is that all common possible values for a parameter are tested. For example, common values for a string are: 1) null, 2) empty, 3) whitespace (space, tabs, newline), 4) valid string, 5) invalid string, 6) single-byte string, 7) double-byte string. It may also be appropriate to use very long strings. Failure to test each possible parameter value may result in a bug. Testing only one of these could result in 100% code coverage as each line is covered, but as only one of seven options are tested, there is only 14.2% PVC.

Other coverage criteria

There are further coverage criteria, which are used less often:
* Linear Code Sequence and Jump (LCSAJ) coverage a.k.a. JJ-Path coverage has every LCSAJ/JJ-path been executed?M. R. Woodward, M. A. Hennell, "On the relationship between two control-flow coverage criteria: all JJ-paths and MCDC", Information and Software Technology 48 (2006) pp. 433-440
* Path coverageHas every possible route through a given part of the code been executed?
* Entry/exit coverageHas every possible call and return of the function been executed?
* Loop coverageHas every possible loop been executed zero times, once, and more than once?
* State coverageHas each state in a finite-state machine been reached and explored?
* Data-flow coverageHas each variable definition and its usage been reached and explored?Ting Su, Ke Wu, Weikai Miao, Geguang Pu, Jifeng He, Yuting Chen, and Zhendong Su. "A Survey on Data-Flow Testing". ACM Comput. Surv. 50, 1, Article 5 (March 2017), 35 pages.

Safety-critical or dependable applications are often required to demonstrate 100% of some form of test coverage.
For example, the ECSS-E-ST-40C standard demands 100% statement and decision coverage for two out of four different criticality levels; for the other ones, target coverage values are up to negotiation between supplier and customer.ECSS-E-ST-40C: Space engineering - Software. ECSS Secretariat, ESA-ESTEC. March, 2009
However, setting specific target values - and, in particular, 100% - has been criticized by practitioners for various reasons (cf.C. Prause, J. Werner, K. Hornig, S. Bosecker, M. Kuhrmann (2017):
Is 100% Test Coverage a Reasonable Requirement? Lessons Learned from a Space Software Project
'. In: PROFES 2017. Springer. Last accessed: 2017-11-17)
Martin Fowler writes: "I would be suspicious of anything like 100% - it would smell of someone writing tests to make the coverage numbers happy, but not thinking about what they are doing".Martin Fowler's blog
TestCoverage.
Last accessed: 2017-11-17

Some of the coverage criteria above are connected. For instance, path coverage implies decision, statement and entry/exit coverage. Decision coverage implies statement coverage, because every statement is part of a branch.

Full path coverage, of the type described above, is usually impractical or impossible. Any module with a succession of $n$ decisions in it can have up to $2^n$ paths within it; loop constructs can result in an infinite number of paths. Many paths may also be infeasible, in that there is no input to the program under test that can cause that particular path to be executed. However, a general-purpose algorithm for identifying infeasible paths has been proven to be impossible (such an algorithm could be used to solve the halting problem). Basis path testing is for instance a method of achieving complete branch coverage without achieving complete path coverage.

Methods for practical path coverage testing instead attempt to identify classes of code paths that differ only in the number of loop executions, and to achieve "basis path" coverage the tester must cover all the path classes.

In practice

The target software is built with special options or libraries and run under a controlled environment, to map every executed function to the function points in the source code. This allows testing parts of the target software that are rarely or never accessed under normal conditions, and helps reassure that the most important conditions (function points) have been tested. The resulting output is then analyzed to see what areas of code have not been exercised and the tests are updated to include these areas as necessary. Combined with other test coverage methods, the aim is to develop a rigorous, yet manageable, set of regression tests.

In implementing test coverage policies within a software development environment, one must consider the following:

* What are coverage requirements for the end product certification and if so what level of test coverage is required? The typical level of rigor progression is as follows: Statement, Branch/Decision, Modified Condition/Decision Coverage (MC/DC), LCSAJ (Linear Code Sequence and Jump)
* Will coverage be measured against tests that verify requirements levied on the system under test (DO-178B)?
* Is the object code generated directly traceable to source code statements? Certain certifications, (i.e. DO-178B Level A) require coverage at the assembly level if this is not the case: "Then, additional verification should be performed on the object code to establish the correctness of such generated code sequences" (DO-178B) para-6.4.4.2.

Software authors can look at test coverage results to devise additional tests and input or configuration sets to increase the coverage over vital functions. Two common forms of test coverage are statement (or line) coverage and branch (or edge) coverage. Line coverage reports on the execution footprint of testing in terms of which lines of code were executed to complete the test. Edge coverage reports which branches or code decision points were executed to complete the test. They both report a coverage metric, measured as a percentage. The meaning of this depends on what form(s) of coverage have been used, as 67% branch coverage is more comprehensive than 67% statement coverage.

Generally, test coverage tools incur computation and logging in addition to the actual program thereby slowing down the application, so typically this analysis is not done in production. As one might expect, there are classes of software that cannot be feasibly subjected to these coverage tests, though a degree of coverage mapping can be approximated through analysis rather than direct testing.

There are also some sorts of defects which are affected by such tools. In particular, some race conditions or similar real time sensitive operations can be masked when run under test environments; though conversely, some of these defects may become easier to find as a result of the additional overhead of the testing code.

Most professional software developers use C1 and C2 coverage. C1 stands for statement coverage and C2 for branch or condition coverage. With a combination of C1 and C2, it is possible to cover most statements in a code base. Statement coverage would also cover function coverage with entry and exit, loop, path, state flow, control flow and data flow coverage. With these methods, it is possible to achieve nearly 100% code coverage in most software projects.

Usage in industry

Test coverage is one consideration in the safety certification of avionics equipment. The guidelines by which avionics gear is certified by the Federal Aviation Administration (FAA) is documented in DO-178BRTCA/DO-178B, ''Software Considerations in Airborne Systems and Equipment Certification, Radio Technical Commission for Aeronautics,'' December 1, 1992 and DO-178C.RTCA/DO-178C, ''Software Considerations in Airborne Systems and Equipment Certification, Radio Technical Commission for Aeronautics,'' January, 2012.

Test coverage is also a requirement in part 6 of the automotive safety standard ISO 26262 ''Road Vehicles - Functional Safety''.

See also

* Cyclomatic complexity
* Intelligent verification
* Linear Code Sequence and Jump
* Modified Condition/Decision Coverage
* Mutation testing
* Regression testing
* Software metric
* Static code analysis
* White box testing
* Java code coverage tools

References

{{DEFAULTSORT:Code Coverage
Software metrics
Software testing tools