Flex (lexical analyser generator). Flex (fast lexical analyzer generator) is a free and open-source software alternative to lex. 
It is a computer program that generates lexical analyzers (also known as "scanners" or "lexers").
It is frequently used as the lex implementation together with Berkeley Yacc parser generator on BSD-derived operating systems (as both lex and yacc are part of POSIX), or together with GNU bison (a version of yacc) in *BSD ports and in Linux distributions.  Unlike Bison, flex is not part of the GNU Project and is not released under the GNU General Public License, although a manual for Flex was produced and published by the Free Software Foundation.

History
Flex was written in C around 1987 by Vern Paxson, with the help of many ideas and much inspiration from Van Jacobson. Original version by Jef Poskanzer. The fast table representation is a partial implementation of a design done by Van Jacobson. The implementation was done by Kevin Gong and Vern Paxson.

Example lexical analyzer 
This is an example of a Flex scanner for the instructional programming language PL/0.

The tokens recognized are: '+', '-', '*', '/', '=', '(', ')', ',', ';', '.', ':=', '<', '<=', '<>', '>', '>=';
numbers: 0-9 {0-9}; identifiers: a-zA-Z {a-zA-Z0-9} and keywords: begin, call, const, do, end, if, odd, procedure, then, var, while.

%{
#include "y.tab.h"
%}

digit         [0-9]
letter        [a-zA-Z]

%%
"+"                  { return PLUS;       }
"-"                  { return MINUS;      }
"*"                  { return TIMES;      }
"/"                  { return SLASH;      }
"("                  { return LPAREN;     }
")"                  { return RPAREN;     }
";"                  { return SEMICOLON;  }
","                  { return COMMA;      }
"."                  { return PERIOD;     }
":="                 { return BECOMES;    }
"="                  { return EQL;        }
"<>"                 { return NEQ;        }
"<"                  { return LSS;        }
">"                  { return GTR;        }
"<="                 { return LEQ;        }
">="                 { return GEQ;        }
"begin"              { return BEGINSYM;   }
"call"               { return CALLSYM;    }
"const"              { return CONSTSYM;   }
"do"                 { return DOSYM;      }
"end"                { return ENDSYM;     }
"if"                 { return IFSYM;      }
"odd"                { return ODDSYM;     }
"procedure"          { return PROCSYM;    }
"then"               { return THENSYM;    }
"var"                { return VARSYM;     }
"while"              { return WHILESYM;   }
{letter}({letter}|{digit})* {
                       yylval.id = strdup(yytext);
                       return IDENT;      }
{digit}+             { yylval.num = atoi(yytext);
                       return NUMBER;     }
[ \t\n\r]            /* skip whitespace */
.                    { printf("Unknown character [%c]\n",yytext[0]);
                       return UNKNOWN;    }
%%

int yywrap(void){return 1;}

Internals

These programs perform character parsing and tokenizing via the use of a deterministic finite automaton (DFA). A DFA is a theoretical machine accepting regular languages. These machines are a subset of the collection of Turing machines. DFAs are equivalent to read-only right moving Turing machines. The syntax is based on the use of regular expressions. See also nondeterministic finite automaton.

Issues

Time complexity 
A Flex lexical analyzer usually has time complexity  in the length of the input. That is, it performs a constant number of operations for each input symbol. This constant is quite low: GCC generates 12 instructions for the DFA match loop. Note that the constant is independent of the length of the token, the length of the regular expression and the size of the DFA.

However, using the REJECT macro in a scanner with the potential to match extremely long tokens can cause Flex to generate a scanner with non-linear performance. This feature is optional. In this case, the programmer has explicitly told Flex to "go back and try again" after it has already matched some input. This will cause the DFA to backtrack to find other accept states. The REJECT feature is not enabled by default, and because of its performance implications its use is discouraged in the Flex manual.

Reentrancy 
By default the scanner generated by Flex is not reentrant. This can cause serious problems for programs that use the generated scanner from different threads. To overcome this issue there are options that Flex provides in order to achieve reentrancy. A detailed description of these options can be found in the Flex manual.

Usage under non-Unix environments 
Normally the generated scanner contains references to the unistd.h header file, which is Unix specific. To avoid generating code that includes unistd.h, %option nounistd should be used. Another issue is the call to isatty (a Unix library function), which  can be found in the generated code. The %option never-interactive forces flex to generate code that does not use isatty.

Using flex from other languages
Flex can only generate code for C and C++. To use the scanner code generated by flex from other languages a language binding tool such as SWIG can be used.

Unicode support 
Flex is limited to matching 1-byte (8-bit) binary values and therefore does not support Unicode. RE/flex and other alternatives do support Unicode matching.

Flex++

flex++ is a similar lexical scanner for C++ which is included as part of the flex package. The generated code does not depend on any runtime or external library except for a memory allocator (malloc or a user-supplied alternative) unless the input also depends on it.  This can be useful in embedded and similar situations where traditional operating system or C runtime facilities may not be available.

The flex++ generated C++ scanner includes the header file FlexLexer.h, which defines the interfaces of the two C++ generated classes.

See also

 Comparison of parser generators
Lex
yacc
GNU Bison
Berkeley Yacc

References

Further reading

M. E. Lesk and E. Schmidt, LEX - Lexical Analyzer Generator
Alfred Aho, Ravi Sethi and Jeffrey Ullman, Compilers: Principles, Techniques  and Tools, Addison-Wesley (1986).  Describes the pattern-matching techniques used by flex (deterministic finite automata)

External links
 
 ANSI-C Lex Specification
 JFlex: Fast Scanner Generator for Java
 Brief description of Lex, Flex, YACC, and Bison 

Compiling tools
Free software programmed in C
Finite automata
Software using the BSD license
Lexical analysis