A programming approach of software development
Literate programming is a programming paradigm introduced in 1984 by Donald Knuth in which a computer program is given as an explanation of how it works in a natural language, such as English, interspersed (embedded) with snippets of macros and traditional source code, from which compilable source code can be generated. The approach is used in scientific computing and in data science routinely for reproducible research and open access purposes. Literate programming tools are used by millions of programmers today.
The literate programming paradigm, as conceived by Donald Knuth, represents a move away from writing computer programs in the manner and order imposed by the compiler, and instead gives programmers macros to develop programs in the order demanded by the logic and flow of their thoughts. Literate programs are written as an exposition of logic in more natural language in which macros are used to hide abstractions and traditional source code, more like the text of an essay. 
Literate programming (LP) tools are used to obtain two representations from a source file: one understandable by a compiler or interpreter, the "tangled" code, and another for viewing as formatted documentation, which is said to be "woven" from the literate source. While the first generation of literate programming tools were computer language-specific, the later ones are language-agnostic and exist beyond the individual programming languages.
History and philosophy.
Literate programming was first introduced in 1984 by Donald Knuth, who intended it to create programs that were suitable literature for human beings. He implemented it at Stanford University as a part of his research on algorithms and digital typography. The implementation was called "WEB" since he believed that it was one of the few three-letter words of English that had not yet been applied to computing. However, it resembles the complicated nature of software delicately pieced together from simple materials. The practice of literate programming has seen an important resurgence in the 2010s with the use of computational notebooks, especially in data science.
Concept.
Literate programming is writing out the program logic in a human language with included (separated by a primitive markup) code snippets and macros. Macros in a literate source file are simply title-like or explanatory phrases in a human language that describe human abstractions created while solving the programming problem, and hiding chunks of code or lower-level macros. These macros are similar to the algorithms in pseudocode typically used in teaching computer science. These arbitrary explanatory phrases become precise new operators, created on the fly by the programmer, forming a "meta-language" on top of the underlying programming language.
A preprocessor is used to substitute arbitrary hierarchies, or rather "interconnected 'webs' of macros", to produce the compilable source code with one command ("tangle"), and documentation with another ("weave"). The preprocessor also provides an ability to write out the content of the macros and to add to already created macros in any place in the text of the literate program source file, thereby disposing of the need to keep in mind the restrictions imposed by traditional programming languages or to interrupt the flow of thought.
Advantages.
According to Knuth,
literate programming provides higher-quality programs, since it forces programmers to explicitly state the thoughts behind the program, making poorly thought-out design decisions more obvious. Knuth also claims that literate programming provides a first-rate documentation system, which is not an add-on, but is grown naturally in the process of exposition of one's thoughts during a program's creation. The resulting documentation allows the author to restart their own thought processes at any later time, and allows other programmers to understand the construction of the program more easily. This differs from traditional documentation, in which a programmer is presented with source code that follows a compiler-imposed order, and must decipher the thought process behind the program from the code and its associated comments. The meta-language capabilities of literate programming are also claimed to facilitate thinking, giving a higher "bird's eye view" of the code and increasing the number of concepts the mind can successfully retain and process. Applicability of the concept to programming on a large scale, that of commercial-grade programs, is proven by an edition of TeX code as a literate program.
Knuth also claims that literate programming can lead to easy porting of software to multiple environments, and even cites the implementation of TeX as an example.
Contrast with documentation generation.
Literate programming is very often misunderstood to refer only to formatted documentation produced from a common file with both source code and comments – which is properly called documentation generation – or to voluminous commentaries included with code. This is the converse of literate programming: well-documented code or documentation extracted from code follows the structure of the code, with documentation embedded in the code; while in literate programming, code is embedded in documentation, with the code following the structure of the documentation.
This misconception has led to claims that comment-extraction tools, such as the Perl Plain Old Documentation or Java Javadoc systems, are "literate programming tools". However, because these tools do not implement the "web of abstract concepts" hiding behind the system of natural-language macros, or provide an ability to change the order of the source code from a machine-imposed sequence to one convenient to the human mind, they cannot properly be called literate programming tools in the sense intended by Knuth.
Workflow.
Implementing literate programming consists of two steps:
Weaving and tangling are done on the same source so that they are consistent with each other.
Example.
A classic example of literate programming is the literate implementation of the standard Unix codice_1 word counting program. Knuth presented a CWEB version of this example in Chapter 12 of his "Literate Programming" book. The same example was later rewritten for the noweb literate programming tool. This example provides a good illustration of the basic elements of literate programming.
Creation of macros.
The following snippet of the codice_1 literate program shows how arbitrary descriptive phrases in a natural language are used in a literate program to create macros, which act as new "operators" in the literate programming language, and hide chunks of code or other macros. The mark-up notation consists of double angle brackets (codice_3) that indicate macros. The codice_4 symbol which, in a noweb file, indicates the beginning of a documentation chunk. The codice_5 symbol stands for the "root", topmost node the literate programming tool will start expanding the web of macros from. Actually, writing out the expanded source code can be done from any section or subsection (i.e. a piece of code designated as codice_6, with the equal sign), so one literate program file can contain several files with machine source code.
The purpose of wc is to count lines, words, and/or characters in a list of files. The
number of lines in a file is .../more explanations/
Here, then, is an overview of the file wc.c that is defined by the noweb program wc.nw:
 «Header files to include»
 «Definitions»
 «Global variables»
 «Functions»
 «The main program»
We must include the standard I/O definitions, since we want to send formatted output
to stdout and stderr.
 «Header files to include»=
 #include ;stdio.h ;
The unraveling of the chunks can be done in any place in the literate program text file, not necessarily in the order they are sequenced in the enclosing chunk, but as is demanded by the logic reflected in the explanatory text that envelops the whole program.
Program as a web.
Macros are not the same as "section names" in standard documentation. Literate programming macros hide the real code behind themselves, and be used inside any low-level machine language operators, often inside logical operators such as codice_7, codice_8 or codice_9. This can be seen in the following codice_1 literate program.
The present chunk, which does the counting, was actually one of
the simplest to write. We look at each character and change state if it begins or ends
a word.
 «Scan file»=
 while (1) {
 «Fill buffer if it is empty; break at end of file»
 c = *ptr++;
 if (c ; ' ' &amp;&amp; c ; 0177) {
 /* visible ASCII codes */
 if (!in_word) {
 word_count++;
 in_word = 1;
 continue;
 if (c == '\n') line_count++;
 else if (c != ' ' &amp;&amp; c != '\t') continue;
 in_word = 0;
 /* c is newline, space, or tab */
 @
The macros stand for any chunk of code or other macros, and are more general than top-down or bottom-up "chunking", or than subsectioning. Donald Knuth said that when he realized this, he began to think of a program as a "web" of various parts.
Order of human logic, not that of the compiler.
In a noweb literate program besides the free order of their exposition, the chunks behind macros, once introduced with codice_11, can be grown later in any place in the file by simply writing codice_6 and adding more content to it, as the following snippet illustrates (codice_13 is added by the document formatter for readability, and is not in the code).
 ;templatestyles src="Pre/styles.css"/ ;
Record of the train of thought.
The documentation for a literate program is produced as part of writing the program. Instead of comments provided as side notes to source code a literate program contains the explanation of concepts on each level, with lower level concepts deferred to their appropriate place, which allows for better communication of thought. The snippets of the literate codice_1 above show how an explanation of the program and its source code are interwoven. Such exposition of ideas creates the flow of thought that is like a literary work. Knuth wrote a "novel" which explains the code of the interactive fiction game Colossal Cave Adventure.
Literate programming practices.
The first published literate programming environment was WEB, introduced by Knuth in 1981 for his TeX typesetting system; it uses Pascal as its underlying programming language and TeX for typesetting of the documentation. The complete commented TeX source code was published in Knuth's "TeX: The program", volume B of his 5-volume "Computers and Typesetting". Knuth had privately used a literate programming system called DOC as early as 1979. He was inspired by the ideas of Pierre-Arnoul de Marneffe. The free CWEB, written by Knuth and Silvio Levy, is WEB adapted for C and C++, runs on most operating systems, and can produce TeX and PDF documentation.
There are various other implementations of the literate programming concept as given below. Many of the newer among these do not have macros and hence do not comply with the order of human logic principle, which makes them perhaps "semi-literate" tools. These, however, allow cellular execution of code which makes them more along the lines of exploratory programming tools. 
Other useful tools include:
References.
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Further reading.
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