Comparison of programming paradigms

This article attempts to set out the various similarities and differences between the various programming paradigms as a summary in both graphical and tabular format with links to the separate discussions concerning these similarities and differences in extant Wikipedia articles.
Main paradigm approaches.
There are two main approaches to programming:
The following are widely considered the main programming paradigms, as seen when measuring programming language popularity:
The following are common types of programming that can be implemented using different paradigms:
The subroutines that implement OOP methods may be ultimately coded in an imperative, functional, or procedural style that may, or may not, directly alter state on behalf of the invoking program. There is some overlap between paradigms, inevitably, but the main features or identifiable differences are summarized in this table:
Differences in terminology.
Despite multiple (types of) programming paradigms existing in parallel (with sometimes apparently conflicting definitions), many of the underlying "fundamental components" remain more or less the same (constants, variables, datafields, subroutines, calls etc.) and must somehow thus inevitably be incorporated into each separate paradigm with equally similar attributes or functions. The table above is not intended as a guide to precise similarities, but more of an index of where to look for more information, based on the different naming of these entities, within each paradigm. Further complicating matters are non-standardized implementations of each paradigm, in many programming languages, especially languages supporting multiple paradigms, each with its own jargon.
Language support.
Syntactic sugar is the "sweetening" of program functionality by introducing language features that facilitate a given usage, even if the end result could be achieved without them. One example of syntactic sugar may arguably be the classes used in object-oriented programming languages. The imperative language C can support object-oriented programming via its facilities of function pointers, type casting, and structures. However, languages such as C++ aim to make object-oriented programming more convenient by introducing syntax specific to this coding style. Moreover, the specialized syntax works to emphasize the object-oriented approach. Similarly, functions and looping syntax in C (and other procedural and structured programming languages) could be considered syntactic sugar. Assembly language can support procedural or structured programming via its facilities for modifying register values and branching execution depending on program state. However, languages such as C introduced syntax specific to these coding styles to make procedural and structured programming more convenient. Features of the language C# (C Sharp), such as properties and interfaces, similarly enable no new functions, but are designed to make good programming practices more prominent and natural.
Some programmers feel that these features are unimportant or even frivolous. For example, Alan Perlis once quipped, in a reference to bracket-delimited languages, that "syntactic sugar causes cancer of the semicolon" (see Epigrams on Programming).
An extension of this is the syntactic saccharin, or gratuitous syntax that does not make programming easier.
Performance comparison.
In total instruction path length only, a program coded in an imperative style, using no subroutines, would have the lowest count. However, the binary size of such a program may be larger than the same program coded using subroutines (as in functional and procedural programming) and would reference more "non-local physical" instructions that may increase cache misses and instruction fetch overhead in modern processors.
The paradigms that use subroutines extensively (including functional, procedural, and object-oriented) and do not also use significant inline expansion (inlining, via compiler optimizations) will, consequently, use a larger fraction of total resources on the subroutine linkages. Object-oriented programs that do not deliberately alter program state directly, instead using mutator methods (or "setters") to encapsulate these state changes, will, as a direct consequence, have more overhead. This is because message passing is essentially a subroutine call, but with three added overheads: dynamic memory allocation, parameter copying, and dynamic dispatch. Obtaining memory from the heap and copying parameters for message passing may involve significant resources that far exceed those needed for the state change. Accessors (or "getters") that merely return the values of private member variables also depend on similar message passing subroutines, instead of using a more direct assignment (or comparison), adding to total path length.
Managed code.
For programs executing in a "managed code" environment, such as the .NET Framework, many issues affect performance that are significantly affected by the programming language paradigm and various language features used.
Pseudocode examples comparing various paradigms.
A pseudocode comparison of imperative, procedural, and object oriented approaches used to calculate the area of a circle (πr²), assuming no subroutine inlining, no macro preprocessors, register arithmetic, and weighting each instruction 'step' as only 1 instruction – as a crude measure of instruction path length – is presented below. The instruction step that is conceptually performing the state change is highlighted in bold typeface in each case. The arithmetic operations used to compute the area of the circle are the same in all three paradigms, with the difference being that the procedural and object-oriented paradigms wrap those operations in a subroutine call that makes the computation general and reusable. The same effect could be achieved in a purely imperative program using a macro preprocessor at only the cost of increased program size (only at each macro invocation site) without a corresponding pro rata runtime cost (proportional to "n" invocations – that may be situated within an inner loop for instance). Conversely, subroutine inlining by a compiler could reduce procedural programs to something similar in size to the purely imperative code. However, for object-oriented programs, even with inlining, messages still must be built (from copies of the arguments) for processing by the object-oriented methods. The overhead of calls, virtual or otherwise, is not dominated by the control flow alteration – but by the surrounding calling convention costs, like prologue and epilogue code, stack setup and argument passing (see here for more realistic instruction path length, stack and other costs associated with calls on an x86 platform). See also here for a slide presentation by Eric S. Roberts ("The Allocation of Memory to Variables", chapter 7) – illustrating the use of stack and heap memory use when summing three rational numbers in the Java object-oriented language.
The advantages of procedural abstraction and object-oriented-style polymorphism are poorly illustrated by a small example like the one above. This example is designed mainly to illustrate some intrinsic performance differences, not abstraction or code re-use.
Subroutine, method call overhead.
The presence of a (called) subroutine in a program contributes nothing extra to the functionality of the program regardless of paradigm, but may contribute greatly to the structuring and generality of the program, making it much easier to write, modify, and extend. The extent to which different paradigms use subroutines (and their consequent memory requirements) influences the overall performance of the complete algorithm, although as Guy Steele pointed out in a 1977 paper, a well-designed programming language implementation "can" have very low overheads for procedural abstraction (but laments, in most implementations, that they seldom achieve this in practice - being "rather thoughtless or careless in this regard"). In the same paper, Steele also makes a considered case for automata-based programming (using procedure calls with tail recursion) and concludes that "we should have a healthy respect for procedure calls" (because they are powerful) but suggested "use them sparingly"
In the frequency of subroutine calls:
Allocation of dynamic memory for message and object storage.
Uniquely, the object-oriented paradigm involves dynamic memory allocation from "heap storage" for both object creation and message passing. A 1994 benchmark - "Memory Allocation Costs in Large C and C++ Programs" conducted by Digital Equipment Corporation on a variety of software, using an instruction-level profiling tool, measured how many instructions were required per dynamic storage allocation. The results showed that the lowest absolute number of instructions executed averaged around 50 but others reached as high as 611. See also "Heap:Pleasures and pains" by Murali R. Krishnan that states "Heap implementations tend to stay general for all platforms, and hence have heavy overhead". The 1996 IBM paper "Scalability of Dynamic Storage Allocation Algorithms" by Arun Iyengar of IBM demonstrates various dynamic storage algorithms and their respective instruction counts. Even the recommended MFLF I algorithm (H.S. Stone, RC 9674) shows instruction counts in a range between 200 and 400. The above pseudocode example does not include a realistic estimate of this memory allocation pathlength or the memory prefix overheads involved and the subsequent associated garbage collection overheads. Suggesting strongly that heap allocation is a nontrivial task, one open-source software microallocator, by game developer John W. Ratcliff, consists of nearly 1,000 lines of code.
Dynamically dispatched message calls v. direct procedure call overheads.
In their Abstract "Optimization of Object-Oriented Programs Using Static Class Hierarchy Analysis", Jeffrey Dean, David Grove, and Craig Chambers of the Department of Computer Science and Engineering, at the University of Washington, claim that "Heavy use of inheritance and dynamically-bound messages is likely to make code more extensible and reusable, but it also imposes a significant performance overhead, relative to an equivalent but non-extensible program written in a non-object-oriented manner. In some domains, such as structured graphics packages, the performance cost of the extra flexibility provided by using a heavily object-oriented style is acceptable. However, in other domains, such as basic data structure libraries, numerical computing packages, rendering libraries, and trace-driven simulation frameworks, the cost of message passing can be too great, forcing the programmer to avoid object-oriented programming in the “hot spots” of their application."
Serializing objects.
Serialization imposes large overheads when passing objects from one system to another, especially when the transfer is in human-readable formats such as Extensible Markup Language (XML) and JavaScript Object Notation (JSON). This contrasts with compact binary formats for non-object-oriented data. Both encoding and decoding of the objects data value and its attributes are involved in the serializing process, which also includes awareness of complex issues such as inheriting, encapsulating, and data hiding.
Parallel computing.
Carnegie-Mellon University Professor Robert Harper in March 2011 wrote: "This semester Dan Licata and I are co-teaching a new course on functional programming for first-year prospective CS majors... Object-oriented programming is eliminated entirely from the introductory curriculum, because it is both anti-modular and anti-parallel by its very nature, and hence unsuitable for a modern CS curriculum. A proposed new course on object-oriented design methodology will be offered at the sophomore level for those students who wish to study this topic."