Control table
Encyclopedia
Control tables are tables that control the program flow
Control flow
In computer science, control flow refers to the order in which the individual statements, instructions, or function calls of an imperative or a declarative program are executed or evaluated....

 or play a major part in program control. There are no rigid rules concerning the structure or content of a control table - its only qualifying attribute is its ability to direct program flow
Control flow
In computer science, control flow refers to the order in which the individual statements, instructions, or function calls of an imperative or a declarative program are executed or evaluated....

 in some way through its 'execution' by an associated interpreter
Interpreter (computing)
In computer science, an interpreter normally means a computer program that executes, i.e. performs, instructions written in a programming language...

. The design of such tables is sometimes referred to as table driven design. In some cases, control tables can be specific implementations of finite state machine
Finite state machine
A finite-state machine or finite-state automaton , or simply a state machine, is a mathematical model used to design computer programs and digital logic circuits. It is conceived as an abstract machine that can be in one of a finite number of states...

-based automata-based programming
Automata-Based Programming
Automata-based programming is a programming paradigm in which the program or its part is thought of as a model of a finite state machine or any other formal automaton...

.

Control tables often have the equivalent of conditional expressions
Conditional statement
In computer science, conditional statements, conditional expressions and conditional constructs are features of a programming language which perform different computations or actions depending on whether a programmer-specified boolean condition evaluates to true or false...

 or function
Subroutine
In computer science, a subroutine is a portion of code within a larger program that performs a specific task and is relatively independent of the remaining code....

 reference
Reference (computer science)
In computer science, a reference is a value that enables a program to indirectly access a particular data item, such as a variable or a record, in the computer's memory or in some other storage device. The reference is said to refer to the data item, and accessing those data is called...

s embedded in them, usually implied by their relative column position in the association list
Association list
In computer programming and particularly in Lisp, an association list, often referred to as an alist, is a linked list in which each list element comprises a key and a value. The association list is said to associate the value with the key...

. Control tables reduce the need for programming similar structures or program statements over and over again. The two-dimensional nature of most tables makes them easier to view and update than the one-dimensional nature of program code. In some cases, non-programmers can be assigned to maintain the control tables.

Typical usage

  • Transformation of input values to:
  • an index
    Index (information technology)
    In computer science, an index can be:# an integer that identifies an array element# a data structure that enables sublinear-time lookup -Array element identifier:...

     ,for later branching or pointer lookup
    Lookup table
    In computer science, a lookup table is a data structure, usually an array or associative array, often used to replace a runtime computation with a simpler array indexing operation. The savings in terms of processing time can be significant, since retrieving a value from memory is often faster than...

  • a program name, relative subroutine
    Subroutine
    In computer science, a subroutine is a portion of code within a larger program that performs a specific task and is relatively independent of the remaining code....

     number, program label
    Label (programming language)
    A label in a programming language is a sequence of characters that identifies a location within source code. In most languages labels take the form of an identifier, often followed by a punctuation character . In many high level programming languages the purpose of a label is to act as the...

     or program offset, to alter control flow
    Control flow
    In computer science, control flow refers to the order in which the individual statements, instructions, or function calls of an imperative or a declarative program are executed or evaluated....

  • Controlling a main loop in event-driven programming
    Event-driven programming
    In computer programming, event-driven programming or event-based programming is a programming paradigm in which the flow of the program is determined by events—i.e., sensor outputs or user actions or messages from other programs or threads.Event-driven programming can also be defined as an...

     using a control variable for state transitions
  • Controlling the program cycle for Online transaction processing
    Online transaction processing
    Online transaction processing, or OLTP, refers to a class of systems that facilitate and manage transaction-oriented applications, typically for data entry and retrieval transaction processing...

     applications

More advanced usage

  • Acting as virtual instructions for a virtual machine
    Virtual machine
    A virtual machine is a "completely isolated guest operating system installation within a normal host operating system". Modern virtual machines are implemented with either software emulation or hardware virtualization or both together.-VM Definitions:A virtual machine is a software...

     processed by an interpreter
    Interpreter (computing)
    In computer science, an interpreter normally means a computer program that executes, i.e. performs, instructions written in a programming language...

similar to bytecode
Bytecode
Bytecode, also known as p-code , is a term which has been used to denote various forms of instruction sets designed for efficient execution by a software interpreter as well as being suitable for further compilation into machine code...

 - but usually with operations implied by the table structure itself

Table structure

The tables can have multiple dimensions, of fixed or variable lengths and are usually portable
Software portability
Portability in high-level computer programming is the usability of the same software in different environments. The prerequirement for portability is the generalized abstraction between the application logic and system interfaces...

 between computer platforms, requiring only a change to the interpreter, not the algorithm
Algorithm
In mathematics and computer science, an algorithm is an effective method expressed as a finite list of well-defined instructions for calculating a function. Algorithms are used for calculation, data processing, and automated reasoning...

 itself - the logic of which is essentially embodied within the table structure and content. The structure of the table may be similar to a multimap
Multimap (data structure)
A multimap is a generalization of a map or associative array abstract data type in which more than one value may be associated with and returned for a given key. Both map and multimap are particular cases of containers...

 associative array
Associative array
In computer science, an associative array is an abstract data type composed of a collection of pairs, such that each possible key appears at most once in the collection....

, where a data value (or combination of data values) may be mapped to one or more functions to be performed.

One dimensional tables

In perhaps its simplest implementation, a control table may sometimes be a one-dimensional table for directly translating a raw data
Raw data
'\putang inaIn computing, it may have the following attributes: possibly containing errors, not validated; in sfferent formats; uncoded or unformatted; and suspect, requiring confirmation or citation. For example, a data input sheet might contain dates as raw data in many forms: "31st January...

 value to a corresponding subroutine offset, index
Index (information technology)
In computer science, an index can be:# an integer that identifies an array element# a data structure that enables sublinear-time lookup -Array element identifier:...

 or pointer using the raw data value either directly as the index to the array, or by performing some basic arithmetic on the data beforehand. This can be achieved in constant time (without a linear search
Linear search
In computer science, linear search or sequential search is a method for finding a particular value in a list, that consists of checking every one of its elements, one at a time and in sequence, until the desired one is found....

 or binary search using a typical lookup table
Lookup table
In computer science, a lookup table is a data structure, usually an array or associative array, often used to replace a runtime computation with a simpler array indexing operation. The savings in terms of processing time can be significant, since retrieving a value from memory is often faster than...

 on an associative array
Associative array
In computer science, an associative array is an abstract data type composed of a collection of pairs, such that each possible key appears at most once in the collection....

). In most architecture
Computer architecture
In computer science and engineering, computer architecture is the practical art of selecting and interconnecting hardware components to create computers that meet functional, performance and cost goals and the formal modelling of those systems....

s, this can be accomplished in two or three machine instructions - without any comparisons or loops. The technique is known as a "trivial hash function" or, when used specifically for branch tables, "double dispatch
Double dispatch
In software engineering, double dispatch is a special form of multiple dispatch, and a mechanism that dispatches a function call to different concrete functions depending on the runtime types of two objects involved in the call...

".
For this to be feasible, the range of all possible values of the data needs to be small (e.g. an ASCII
ASCII
The American Standard Code for Information Interchange is a character-encoding scheme based on the ordering of the English alphabet. ASCII codes represent text in computers, communications equipment, and other devices that use text...

 or EBCDIC
EBCDIC
Extended Binary Coded Decimal Interchange Code is an 8-bit character encoding used mainly on IBM mainframe and IBM midrange computer operating systems....

 character value which have a range of hexadecimal
Hexadecimal
In mathematics and computer science, hexadecimal is a positional numeral system with a radix, or base, of 16. It uses sixteen distinct symbols, most often the symbols 0–9 to represent values zero to nine, and A, B, C, D, E, F to represent values ten to fifteen...

 '00' - 'FF'. If the actual range is guaranteed to be smaller than this, the array can be truncated to less than 256 bytes).

Table to translate raw ASCII values (A,D,M,S) to new subroutine index (1,4,3,2) in constant time using one-dimensional array

(gaps in the range are shown as '..' for this example, meaning 'all hex values up to next row'. The first two columns are not part of the array)
ASCII
ASCII
The American Standard Code for Information Interchange is a character-encoding scheme based on the ordering of the English alphabet. ASCII codes represent text in computers, communications equipment, and other devices that use text...

Hex
Hexadecimal
In mathematics and computer science, hexadecimal is a positional numeral system with a radix, or base, of 16. It uses sixteen distinct symbols, most often the symbols 0–9 to represent values zero to nine, and A, B, C, D, E, F to represent values ten to fifteen...

 
Array
null
Null character
The null character , abbreviated NUL, is a control character with the value zero.It is present in many character sets, including ISO/IEC 646 , the C0 control code, the Universal Character Set , and EBCDIC...

 
00 00
.. .. 00
40 00
A 41 01
.. .. 00
D 44 04
.. .. 00
M 4D 03
.. .. 00
S 53 02

In automata-based programming
Automata-Based Programming
Automata-based programming is a programming paradigm in which the program or its part is thought of as a model of a finite state machine or any other formal automaton...

 and pseudoconversational transaction
Pseudoconversational transaction
In transaction processing, a pseudoconversational transaction is a type of transaction that emulates a true conversation in an interactive session...

 processing, if the number of distinct program states is small, a "dense sequence" control variable can be used to efficiently dictate the entire flow of the main program loop.

A two byte raw data value would require a minimum table size of 65,534 bytes - to handle all input possibilities - whilst allowing just 256 different output values. However, this direct translation technique provides an extremely fast validation
Data validation
In computer science, data validation is the process of ensuring that a program operates on clean, correct and useful data. It uses routines, often called "validation rules" or "check routines", that check for correctness, meaningfulness, and security of data that are input to the system...

 & conversion to a (relative) subroutine pointer if the heuristic
Heuristic
Heuristic refers to experience-based techniques for problem solving, learning, and discovery. Heuristic methods are used to speed up the process of finding a satisfactory solution, where an exhaustive search is impractical...

s, together with sufficient fast access memory, permits its use.

Branch tables

A branch table
Branch table
In computer programming, a branch table is a term used to describe an efficient method of transferring program control to another part of a program using a table of branch instructions. It is a form of multiway branch...

 is a one dimensional 'array' of contiguous machine code
Machine code
Machine code or machine language is a system of impartible instructions executed directly by a computer's central processing unit. Each instruction performs a very specific task, typically either an operation on a unit of data Machine code or machine language is a system of impartible instructions...

 branch/jump
Branch (computer science)
A branch is sequence of code in a computer program which is conditionally executed depending on whether the flow of control is altered or not . The term can be used when referring to programs in high level languages as well as program written in machine code or assembly language...

 instructions to effect a multiway branch
Multiway branch
Multiway branch is a computer science term used to describe the change to a program's control flow based upon a value matching a selected criteria. It is a form of conditional statement...

 to a program label when branched into by an immediately preceding, and indexed branch. It is sometimes generated by an optimizing compiler to execute a switch statement
Switch statement
In computer programming, a switch, case, select or inspect statement is a type of selection control mechanism that exists in most imperative programming languages such as Pascal, Ada, C/C++, C#, Java, and so on. It is also included in several other types of languages...

 - provided that the input range is small and dense, with few gaps (as created by the previous array example) http://www.netrino.com/node/137].

Although quite compact - compared to the multiple equivalent If statements - the branch instructions still carry some redundancy, since the branch opcode
Opcode
In computer science engineering, an opcode is the portion of a machine language instruction that specifies the operation to be performed. Their specification and format are laid out in the instruction set architecture of the processor in question...

 and condition code mask are repeated alongside the branch offsets. Control tables containing only the offsets to the program labels can be constructed to overcome this redundancy (at least in assembly languages) and yet requiring only minor execution time overhead
Computational overhead
In computer science, overhead is generally considered any combination of excess or indirect computation time, memory, bandwidth, or other resources that are required to attain a particular goal...

 compared to a conventional branch table.

Multi-dimensional tables

More usually, a control table can be thought of as a Truth table
Truth table
A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, boolean functions, and propositional calculus—to compute the functional values of logical expressions on each of their functional arguments, that is, on each combination of values taken by their...

 or as an executable ("binary") implementation of a printed decision table
Decision table
Decision tables are a precise yet compact way to model complicated logic.Decision tables, like flowcharts and if-then-else and switch-case statements, associate conditions with actions to perform, but in many cases do so in a more elegant way....

 (or a tree
Tree (data structure)
In computer science, a tree is a widely-used data structure that emulates a hierarchical tree structure with a set of linked nodes.Mathematically, it is an ordered directed tree, more specifically an arborescence: an acyclic connected graph where each node has zero or more children nodes and at...

 of decision tables, at several levels). They contain (often implied) propositions
Propositional formula
In propositional logic, a propositional formula is a type of syntactic formula which is well formed and has a truth value. If the values of all variables in a propositional formula are given, it determines a unique truth value...

, together with one or more associated 'actions'. These actions are usually performed by generic or custom-built subroutine
Subroutine
In computer science, a subroutine is a portion of code within a larger program that performs a specific task and is relatively independent of the remaining code....

s that are called by an "interpreter
Interpreter (computing)
In computer science, an interpreter normally means a computer program that executes, i.e. performs, instructions written in a programming language...

" program. The interpreter in this instance effectively functions as a virtual machine
Virtual machine
A virtual machine is a "completely isolated guest operating system installation within a normal host operating system". Modern virtual machines are implemented with either software emulation or hardware virtualization or both together.-VM Definitions:A virtual machine is a software...

, that 'executes' the control table entries and thus provides a higher level of abstraction
Abstraction (computer science)
In computer science, abstraction is the process by which data and programs are defined with a representation similar to its pictorial meaning as rooted in the more complex realm of human life and language with their higher need of summarization and categorization , while hiding away the...

 than the underlying code of the interpreter.

A control table can be constructed along similar lines to a language dependent switch statement
Switch statement
In computer programming, a switch, case, select or inspect statement is a type of selection control mechanism that exists in most imperative programming languages such as Pascal, Ada, C/C++, C#, Java, and so on. It is also included in several other types of languages...

 but with the added possibility of testing for combinations of input values (using boolean style AND
Logical conjunction
In logic and mathematics, a two-place logical operator and, also known as logical conjunction, results in true if both of its operands are true, otherwise the value of false....

/OR
Logical disjunction
In logic and mathematics, a two-place logical connective or, is a logical disjunction, also known as inclusive disjunction or alternation, that results in true whenever one or more of its operands are true. E.g. in this context, "A or B" is true if A is true, or if B is true, or if both A and B are...

 conditions) and potentially calling multiple subroutine
Subroutine
In computer science, a subroutine is a portion of code within a larger program that performs a specific task and is relatively independent of the remaining code....

s (instead of just a single set of values and 'branch to' program labels). (The switch statement construct in any case may not be available, or has confusingly differing implementations in high level languages (HLL
High-level programming language
A high-level programming language is a programming language with strong abstraction from the details of the computer. In comparison to low-level programming languages, it may use natural language elements, be easier to use, or be from the specification of the program, making the process of...

). The control table concept, by comparison, has no intrinsic language dependencies, but might nevertheless be implemented differently according to the available data definition features of the chosen programming language.)

Table content

A control table essentially embodies the 'essence
Essence
In philosophy, essence is the attribute or set of attributes that make an object or substance what it fundamentally is, and which it has by necessity, and without which it loses its identity. Essence is contrasted with accident: a property that the object or substance has contingently, without...

' of a conventional program, stripped of its programming language syntax and platform dependent components (e.g. IF/THEN DO.., FOR.., DO WHILE.., SWITCH, GOTO, CALL) and 'condensed' to its variables (e.g. input1), values (e.g. 'A','S','M' and 'D'), and subroutine identities (e.g. 'Add','subtract,..' or #1, #2,..). The structure of the table itself typically implies the (default) logical operations involved - such as 'testing for equality', performing a subroutine and 'next operation' or following the default sequence (rather than these being explicitly stated within program statements - as required in other programming paradigm
Programming paradigm
A programming paradigm is a fundamental style of computer programming. Paradigms differ in the concepts and abstractions used to represent the elements of a program and the steps that compose a computation A programming paradigm is a fundamental style of computer programming. (Compare with a...

s).

A multi-dimensional control table will normally, as a minimum, contain value/action pairs and may additionally contain operators and type
Type system
A type system associates a type with each computed value. By examining the flow of these values, a type system attempts to ensure or prove that no type errors can occur...

 information such as, the location, size and format of input or output data, whether data conversion
Data conversion
Data conversion is the conversion of computer data from one format to another. Throughout a computer environment, data is encoded in a variety of ways. For example, computer hardware is built on the basis of certain standards, which requires that data contains, for example, parity bit checks....

 (or other run-time processing nuances) is required before or after processing (if not already implicit in the function itself). The table may or may not contain indexes or relative or absolute pointers to generic or customized primitives
Language primitive
In computing, language primitives are the simplest elements available in a programming language. A primitive can be defined as the smallest 'unit of processing' available to a programmer of a particular machine, or can be an atomic element of an expression in a language.-Machine level primitives:A...

 or subroutine
Subroutine
In computer science, a subroutine is a portion of code within a larger program that performs a specific task and is relatively independent of the remaining code....

s to be executed depending upon other values in the "row".

The table illustrated below applies only to 'input1' since no specific input is specified in the table.

conditions and actions implied by structure
{| class="wikitable"

| (implied) IF =|| (implied) perform
|-
| value|| action
|-
| value|| action
|-
|}
(This side-by-side pairing of value and action has similarities to constructs in Event-driven programming
Event-driven programming
In computer programming, event-driven programming or event-based programming is a programming paradigm in which the flow of the program is determined by events—i.e., sensor outputs or user actions or messages from other programs or threads.Event-driven programming can also be defined as an...

, namely 'event-detection' and 'event-handling' but without (necessarily) the asynchronous nature of the event itself)

The variety of values that can be encoded within a control table is largely dependent upon the computer language used. Assembly language
Assembly language
An assembly language is a low-level programming language for computers, microprocessors, microcontrollers, and other programmable devices. It implements a symbolic representation of the machine codes and other constants needed to program a given CPU architecture...

 provides the widest scope for data types including (for the actions), the option of directly executable machine code
Machine code
Machine code or machine language is a system of impartible instructions executed directly by a computer's central processing unit. Each instruction performs a very specific task, typically either an operation on a unit of data Machine code or machine language is a system of impartible instructions...

. Typically a control table will contain values for each possible matching class of input together with a corresponding pointer to an action subroutine. Some languages claim not to support pointers (directly) but nevertheless can instead support an index
Index (information technology)
In computer science, an index can be:# an integer that identifies an array element# a data structure that enables sublinear-time lookup -Array element identifier:...

 which can be used to represent a 'relative subroutine number' to perform conditional execution, controlled by the value in the table entry (e.g. for use in an optimized SWITCH
Switch statement
In computer programming, a switch, case, select or inspect statement is a type of selection control mechanism that exists in most imperative programming languages such as Pascal, Ada, C/C++, C#, Java, and so on. It is also included in several other types of languages...

 statement - designed with zero gaps (i.e. a multiway branch
Multiway branch
Multiway branch is a computer science term used to describe the change to a program's control flow based upon a value matching a selected criteria. It is a form of conditional statement...

) ).

Comments positioned above each column (or even embedded textual documentation) can render a decision table 'human readable' even after 'condensing down' (encoding) to its essentials (and still broadly in-line with the original program specification - especially if a printed decision table, enumerating
Enumeration
In mathematics and theoretical computer science, the broadest and most abstract definition of an enumeration of a set is an exact listing of all of its elements . The restrictions imposed on the type of list used depend on the branch of mathematics and the context in which one is working...

 each unique action, is created before coding begins).
The table entries can also optionally contain counters to collect run-time statistics for 'in-flight' or later optimization

Table location

Control tables can reside in static storage, on auxiliary storage, such as a flat file or on a database
Database
A database is an organized collection of data for one or more purposes, usually in digital form. The data are typically organized to model relevant aspects of reality , in a way that supports processes requiring this information...

 or may alternatively be partially or entirely built dynamically at program initialization
Booting
In computing, booting is a process that begins when a user turns on a computer system and prepares the computer to perform its normal operations. On modern computers, this typically involves loading and starting an operating system. The boot sequence is the initial set of operations that the...

 time from parameters (which themselves may reside in a table). For optimum efficiency, the table should be memory resident when the interpreter begins to use it.

The interpreter and subroutines

The interpreter can be written in any suitable programming language including a high level language. A suitably designed generic
Generic programming
In a broad definition, generic programming is a style of computer programming in which algorithms are written in terms of to-be-specified-later types that are then instantiated when needed for specific types provided as parameters...

 interpreter, together with a well chosen set of generic subroutines (able to process the most commonly occurring primitives
Language primitive
In computing, language primitives are the simplest elements available in a programming language. A primitive can be defined as the smallest 'unit of processing' available to a programmer of a particular machine, or can be an atomic element of an expression in a language.-Machine level primitives:A...

), would require additional conventional coding only for new custom subroutines (in addition to specifying the control table itself). The interpreter, optionally, may only apply to some well-defined sections of a complete application program (such as the main control loop) and not other, 'less conditional', sections (such as program initialization, termination and so on).

The interpreter does not need to be unduly complex, or produced by a programmer with the advanced knowledge of a compiler writer, and can be written just as any other application program - except that it is usually designed with efficiency in mind. Its primary function is to "execute" the table entries as a set of "instructions". There need be no requirement for parsing of control table entries and these should therefore be designed, as far as possible, to be 'execution ready', requiring only the "plugging in" of variables from the appropriate columns to the already compiled generic code of the interpreter. The program instructions are, in theory, infinitely extensible and constitute (possibly arbitrary) values within the table that are meaningful only to the interpreter. The control flow
Control flow
In computer science, control flow refers to the order in which the individual statements, instructions, or function calls of an imperative or a declarative program are executed or evaluated....

 of the interpreter is normally by sequential processing of each table row but may be modified by specific actions in the table entries.

These arbitrary values can thus be designed with efficiency in mind - by selecting values that can be used as direct indexes to data or function pointers. For particular platforms/language, they can be specifically designed to minimize instruction path length
Instruction path length
In computer performance, the instruction path length is the number of machine code instructions required to execute a section of a computer program. The total path length for the entire program could be deemed a measure of the algorithm's performance on a particular computer hardware...

s using branch table
Branch table
In computer programming, a branch table is a term used to describe an efficient method of transferring program control to another part of a program using a table of branch instructions. It is a form of multiway branch...

 values or even, in some cases such as in JIT
Just-in-time compilation
In computing, just-in-time compilation , also known as dynamic translation, is a method to improve the runtime performance of computer programs. Historically, computer programs had two modes of runtime operation, either interpreted or static compilation...

 compilers, consist of directly executable machine code
Machine code
Machine code or machine language is a system of impartible instructions executed directly by a computer's central processing unit. Each instruction performs a very specific task, typically either an operation on a unit of data Machine code or machine language is a system of impartible instructions...

 "snippets
Snippet (programming)
Snippet is a programming term for a small region of re-usable source code, machine code or text. Ordinarily, these are formally-defined operative units to incorporate into larger programming modules...

" (or pointers to them).

The subroutines may be coded either in the same language as the interpreter itself or any other supported program language (provided that suitable inter-language 'Call' linkage mechanisms exist). The choice of language for the interpreter and/or subroutines will usually depend upon how portable it needs to be across various platform
Platform (computing)
A computing platform includes some sort of hardware architecture and a software framework , where the combination allows software, particularly application software, to run...

s. There may be several versions of the interpreter to enhance the portability
Porting
In computer science, porting is the process of adapting software so that an executable program can be created for a computing environment that is different from the one for which it was originally designed...

 of a control table. A subordinate control table pointer may optionally substitute for a subroutine pointer in the 'action' column(s) if the interpreter supports this construct, representing a conditional 'drop' to a lower logical level, mimicking a conventional structured program
Structured programming
Structured programming is a programming paradigm aimed on improving the clarity, quality, and development time of a computer program by making extensive use of subroutines, block structures and for and while loops - in contrast to using simple tests and jumps such as the goto statement which could...

 structure.

Performance considerations

At first sight, the use of control tables would appear to add quite a lot to a program's overhead
Computational overhead
In computer science, overhead is generally considered any combination of excess or indirect computation time, memory, bandwidth, or other resources that are required to attain a particular goal...

, requiring, as it does, an interpreter process before the 'native' programming language statements are executed. This however is not always the case. By separating (or 'encapsulating') the executable coding from the logic, as expressed in the table, it can be more readily targeted to perform its function most efficiently. This may be experienced most obviously in a spreadsheet
Spreadsheet
A spreadsheet is a computer application that simulates a paper accounting worksheet. It displays multiple cells usually in a two-dimensional matrix or grid consisting of rows and columns. Each cell contains alphanumeric text, numeric values or formulas...

 application - where the underlying spreadsheet software transparently converts complex logical 'formulae' in the most efficient manner it is able, in order to display its results.

The examples below have been chosen partly to illustrate potential performance gains that may not only compensate significantly for the additional tier of abstraction, but also improve upon - what otherwise might have been - less efficient, less maintainable and lengthier code. Although the examples given are for a 'low level' assembly language
Assembly language
An assembly language is a low-level programming language for computers, microprocessors, microcontrollers, and other programmable devices. It implements a symbolic representation of the machine codes and other constants needed to program a given CPU architecture...

 and for the C language, it can be seen, in both cases, that very few lines of code are required to implement the control table approach and yet can achieve very significant constant time performance improvements, reduce repetitive source coding and aid clarity, as compared with verbose conventional program language constructs. See also the quotationsby Donald Knuth
Donald Knuth
Donald Ervin Knuth is a computer scientist and Professor Emeritus at Stanford University.He is the author of the seminal multi-volume work The Art of Computer Programming. Knuth has been called the "father" of the analysis of algorithms...

, concerning tables and the efficiency of multiway branch
Multiway branch
Multiway branch is a computer science term used to describe the change to a program's control flow based upon a value matching a selected criteria. It is a form of conditional statement...

ing in this article.

Examples of control tables

The following examples are arbitrary
Arbitrary
Arbitrariness is a term given to choices and actions subject to individual will, judgment or preference, based solely upon an individual's opinion or discretion.Arbitrary decisions are not necessarily the same as random decisions...

 (and based upon just a single input for simplicity), however the intention is merely to demonstrate how control flow can be effected via the use of tables instead of regular program statements. It should be clear that this technique can easily be extended to deal with multiple inputs, either by increasing the number of columns or utilizing multiple table entries (with optional and/or operator). Similarly, by using (hierarchical) 'linked' control tables, structured programming
Structured programming
Structured programming is a programming paradigm aimed on improving the clarity, quality, and development time of a computer program by making extensive use of subroutines, block structures and for and while loops - in contrast to using simple tests and jumps such as the goto statement which could...

 can be accomplished (optionally using indentation to help highlight subordinate control tables).

"CT1" is an example of a control table that is a simple lookup table
Lookup table
In computer science, a lookup table is a data structure, usually an array or associative array, often used to replace a runtime computation with a simpler array indexing operation. The savings in terms of processing time can be significant, since retrieving a value from memory is often faster than...

. The first column represents the input value to be tested (by an implied 'IF input1 = x') and, if TRUE, the corresponding 2nd column (the 'action') contains a subroutine address to perform by a call
System call
In computing, a system call is how a program requests a service from an operating system's kernel. This may include hardware related services , creating and executing new processes, and communicating with integral kernel services...

 (or jump
Goto
goto is a statement found in many computer programming languages. It is a combination of the English words go and to. It performs a one-way transfer of control to another line of code; in contrast a function call normally returns control...

 to - similar to a SWITCH
Switch statement
In computer programming, a switch, case, select or inspect statement is a type of selection control mechanism that exists in most imperative programming languages such as Pascal, Ada, C/C++, C#, Java, and so on. It is also included in several other types of languages...

 statement). It is, in effect, a multiway branch
Multiway branch
Multiway branch is a computer science term used to describe the change to a program's control flow based upon a value matching a selected criteria. It is a form of conditional statement...

 with return (a form of "dynamic dispatch
Dynamic dispatch
In computer science, dynamic dispatch is the process of mapping a message to a specific sequence of code at runtime. This is done to support the cases where the appropriate method can't be determined at compile-time...

"). The last entry is the default case where no match is found.

CT1
input 1 pointer
A -->Add
S -->Subtract
M -->Multiply
D -->Divide
? -->Default

For programming languages that support pointers within data structure
Data structure
In computer science, a data structure is a particular way of storing and organizing data in a computer so that it can be used efficiently.Different kinds of data structures are suited to different kinds of applications, and some are highly specialized to specific tasks...

s alongside other data values, the above table (CT1) can be used to direct control flow
Control flow
In computer science, control flow refers to the order in which the individual statements, instructions, or function calls of an imperative or a declarative program are executed or evaluated....

 to an appropriate subroutine
Subroutine
In computer science, a subroutine is a portion of code within a larger program that performs a specific task and is relatively independent of the remaining code....

s according to matching value from the table (without a column to indicate otherwise, equality is assumed in this simple case).

Assembly language
Assembly language
An assembly language is a low-level programming language for computers, microprocessors, microcontrollers, and other programmable devices. It implements a symbolic representation of the machine codes and other constants needed to program a given CPU architecture...

 example
for IBM/360 (maximum 16Mb address range) or Z/Architecture
Z/Architecture
z/Architecture, initially and briefly called ESA Modal Extensions , refers to IBM's 64-bit computing architecture for IBM mainframe computers. IBM introduced its first z/Architecture-based system, the zSeries Model 900, in late 2000. Later z/Architecture systems include the IBM z800, z990, z890,...



No attempt is made to optimize the lookup in coding for this first example ,and it uses instead a simple linear search
Linear search
In computer science, linear search or sequential search is a method for finding a particular value in a list, that consists of checking every one of its elements, one at a time and in sequence, until the desired one is found....

 technique - purely to illustrate the concept and demonstrate fewer source lines. To handle all 256 different input values, approximately 265 lines of source code would be required (mainly single line table entries) whereas multiple 'compare and branch' would have normally required around 512 source lines (the size of the binary
Binary file
A binary file is a computer file which may contain any type of data, encoded in binary form for computer storage and processing purposes; for example, computer document files containing formatted text...

 is also approximately halved, each table entry requiring only 4 bytes instead of approximately 8 bytes for a series of 'compare immediate'/branch instructions (For larger input variables, the saving is even greater).

* ------------------ interpreter --------------------------------------------*
LM R14,R0,=A(4,CT1,N) Set R14=4, R15 --> table, and R0 =no. of entries in table (N)
TRY CLC INPUT1,0(R15) ********* Found value in table entry ?
BE ACTION * loop * YES, Load register pointer to sub-routine from table
AR R15,R14 * * NO ,Point to next entry in CT1 by adding R14 (=4)
BCT R0,TRY ********* Back until count exhausted, then drop through
. default action ... none of the values in table match, do something else
LA R15,4(R15) point to default entry (beyond table end)
ACTION L R15,0(R15) get pointer into R15,from where R15 points
BALR R14,R15 Perform the sub-routine ("CALL" and return)
B END go terminate this program
* ------------------ control table -----------------------------------------*
* | this column of allowable EBCDIC or ASCII values is tested '=' against variable 'input1'
* | | this column is the 3-byte address of the appropriate subroutine
* v v
CT1 DC C'A',AL3(ADD) START of Control Table (4 byte entry length)
DC C'S',AL3(SUBTRACT)
DC C'M',AL3(MULTIPLY)
DC C'D',AL3(DIVIDE)
N EQU (*-CT1)/4 number of valid entries in table (total length / entry length)
DC C'?',AL3(DEFAULT) default entry - used on drop through to catch all
INPUT1 DS C input variable is in this variable
* ------------------ sub-routines ------------------------------------------*
ADD CSECT sub-routine #1 (shown as separate CSECT here but might
. alternatively be in-line code)
. instruction(s) to add
BR R14 return
SUBTRACT CSECT sub-routine #2
. instruction(s) to subtract
BR R14 return
. etc..
improving the performance of the interpreter in above example
To make a selection in the example above, the average instruction path length
Instruction path length
In computer performance, the instruction path length is the number of machine code instructions required to execute a section of a computer program. The total path length for the entire program could be deemed a measure of the algorithm's performance on a particular computer hardware...

 (excluding the subroutine code) is '4n/2 +3' , but can easily be reduced, where n = 1 to 64, to a constant time  with a path length of '5' with zero comparisons, if a 256 byte translate table is first utilized to create a direct index to CT1 from the raw EBCDIC data. Where n = 6, this would then be equivalent to just 3 sequential compare & branch instructions. However, where n<=64, on average it would need approximately 13 times less instructions than using multiple compares. Where n=1 to 256, on average it would use approximately 42 times less instructions - since, in this case, one additional instruction would be required (to multiply the index by 4).


Improved interpreter (up to 26 times less executed instructions than the above example on average, where n= 1 to 64 and up to 13 times less than would be needed using multiple comparisons).

To handle 64 different input values, approximately 85 lines of source code (or less) are required (mainly single line table entries) whereas multiple 'compare and branch' would require around 128 lines (the size of the binary
Binary file
A binary file is a computer file which may contain any type of data, encoded in binary form for computer storage and processing purposes; for example, computer document files containing formatted text...

 is also almost halved - despite the additional 256 byte table required to extract the 2nd index).
* ------------------ interpreter --------------------------------------------*
SR R14,R14 ********* Set R14=0
CALC IC R14,INPUT1 * calc * put EBCDIC byte into lo order bits (24-31) of R14
IC R14,CT1X(R14) * * use EBCDIC value as index on table 'CT1X' to get new index
FOUND L R15,CT1(R14) ********* get pointer to subroutine using index (0,4, 8 etc.)
BALR R14,R15 Perform the sub-routine ("CALL" and return or Default)
B END go terminate this program
* --------------- additional translate table (EBCDIC --> pointer table INDEX) 256 bytes----*
CT1X DC 12AL1(00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00) 12 identical sets of 16 bytes of x'00
* representing X'00 - x'BF'
DC AL1(00,04,00,00,16,00,00,00,00,00,00,00,00,00,00,00) ..x'C0' - X'CF'
DC AL1(00,00,00,00,12,00,00,00,00,00,00,00,00,00,00,00) ..x'D0' - X'DF'
DC AL1(00,00,08,00,00,00,00,00,00,00,00,00,00,00,00,00) ..x'E0' - X'EF'
DC AL1(00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00) ..x'F0' - X'FF'
* the assembler can be used to automatically calculate the index values and make the values more user friendly
* (for e.g. '04' could be replaced with the symbolic expression 'PADD-CT1' in table CT1X above)
* modified CT1 (added a default action when index = 00, single dimension, full 31 bit address)
CT1 DC A(DEFAULT) index =00 START of Control Table (4 byte address constants)
PADD DC A(ADD) =04
PSUB DC A(SUBTRACT) =08
PMUL DC A(MULTIPLY) =12
PDIV DC A(DIVIDE) =16
* the rest of the code remains the same as first example

Further improved interpreter (up to 21 times less executed instructions (where n>=64) than the first example on average and up to 42 times less than would be needed using multiple comparisons).

To handle 256 different input values, approximately 280 lines of source code or less, would be required (mainly single line table entries), whereas multiple 'compare and branch' would require around 512 lines (the size of the binary
Binary file
A binary file is a computer file which may contain any type of data, encoded in binary form for computer storage and processing purposes; for example, computer document files containing formatted text...

 is also almost halved once more).

* ------------------ interpreter --------------------------------------------*
SR R14,R14 ********* Set R14=0
CALC IC R14,INPUT1 * calc * put EBCDIC byte into lo order bits (24-31) of R14
IC R14,CT1X(R14) * * use EBCDIC value as index on table 'CT1X' to get new index
SLL R14,2 * * multiply index by 4 (additional instruction)
FOUND L R15,CT1(R14) ********* get pointer to subroutine using index (0,4, 8 etc.)
BALR R14,R15 Perform the sub-routine ("CALL" and return or Default)
B END go terminate this program
* --------------- additional translate table (EBCDIC --> pointer table INDEX) 256 bytes----*
CT1X DC 12AL1(00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00) 12 identical sets of 16 bytes of x'00'
* representing X'00 - x'BF'
DC AL1(00,01,00,00,04,00,00,00,00,00,00,00,00,00,00,00) ..x'C0' - X'CF'
DC AL1(00,00,00,00,03,00,00,00,00,00,00,00,00,00,00,00) ..x'D0' - X'DF'
DC AL1(00,00,02,00,00,00,00,00,00,00,00,00,00,00,00,00) ..x'E0' - X'EF'
DC AL1(00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00) ..x'F0' - X'FF'
* the assembler can be used to automatically calculate the index values and make the values more user friendly
* (for e.g. '01' could be replaced with the symbolic expression 'PADD-CT1/4' in table CT1X above)
* modified CT1 (index now based on 0,1,2,3,4 not 0,4,8,12,16 to allow all 256 variations)
CT1 DC A(DEFAULT) index =00 START of Control Table (4 byte address constants)
PADD DC A(ADD) =01
PSUB DC A(SUBTRACT) =02
PMUL DC A(MULTIPLY) =03
PDIV DC A(DIVIDE) =04
* the rest of the code remains the same as the 2nd example

C language
C (programming language)
C is a general-purpose computer programming language developed between 1969 and 1973 by Dennis Ritchie at the Bell Telephone Laboratories for use with the Unix operating system....

 example

This example in C
C (programming language)
C is a general-purpose computer programming language developed between 1969 and 1973 by Dennis Ritchie at the Bell Telephone Laboratories for use with the Unix operating system....

 uses two tables , the first (CT1) is a simple linear search
Linear search
In computer science, linear search or sequential search is a method for finding a particular value in a list, that consists of checking every one of its elements, one at a time and in sequence, until the desired one is found....

 one-dimensional lookup table - to obtain an index by matching the input (x), and the second, associated table (CT1p), is a table of addresses of labels to jump to.

static const char CT1[] = { "A", "S", "M", "D" }; /* permitted input values */
static const void *CT1p[] = { &&Add, &&Subtract, &&Multiply, &&Divide, &&Default}; /* labels to goto & default*/
for (int i = 0; i < sizeof(CT1); i++) /* loop thru ASCII values */
{if (x CT1[i]) goto *CT1p[i]; } /* found --> appropriate label */
goto *CT1p[i+1]; /* not found --> default label */

This can be made more efficient if a 256 byte table is used to translate the raw ASCII value (x) directly to a dense sequential index value for use in directly locating the branch address from CT1p (i.e. "index mapping
Index mapping
Index mapping is a computer science term that is used to describe the mapping of raw data, used directly as in array index, for an array. The technique can be most effective for mapping data with a small range...

" with a byte-wide array). It will then execute in constant time for all possible values of x (If CT1p contained the names of functions instead of labels, the jump could be replaced with a dynamic function call, eliminating the switch-like goto - but decreasing performance by the additional cost of function housekeeping
Housekeeping (computing)
In computer programming, housekeeping can refer either to a standard entry or exit routine appended to a user written block of code at its entry and exit or, alternatively, to any other automated or manual software process whereby a computer is cleaned-up after usage In computer programming,...

).

static const void *CT1p[] = {&&Default, &&Add, &&Subtract, &&Multiply, &&Divide};
/* the 256 byte table, below, holds values (1,2,3,4), in corresponding ASCII positions (A,S,M,D), all others set to 0x00 */
static const char CT1x[]={
'\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00',
'\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00',
'\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00',
'\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00',
'\x00','\x01','\x00','\x00','\x04','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x03','\x00','\x00',
'\x00','\x00','\x00','\x02','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00',
'\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00',
'\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00',
'\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00',
'\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00',
'\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00',
'\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00',
'\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00',
'\x00','\x00','\x00','\x00','\x03','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00',
'\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00',
'\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00','\x00'};
/* the following code will execute in constant time, irrespective of the value of the input character (x) */
i = CT1x(x); /* extract the correct subroutine index from table CT1x using its ASCII value as an index initially */
goto *CT1p[i]; /* goto (Switch to) the label corresponding to the index (0=default,1= Add,2= Subtract,.) - see CT1p */


The next example below illustrates how a similar effect can be achieved in languages that do not support pointer definitions in data structures but do support indexed branching to a subroutine - contained within a (0-based) array of subroutine pointers. The table (CT2) is used to extract the index (from 2nd column) to the pointer array (CT2P). If pointer arrays are not supported, a SWITCH statement or equivalent can be used to alter the control flow to one of a sequence of program labels (e.g.: case0,case1,case2,case3,case4) which then either process the input directly, or else perform a call (with return) to the appropriate subroutine (default,Add,Subtract,Multiply or Divide,..) to deal with it.

CT2
input 1 subr #
A 1
S 2
M 3
D 4
? 0

As in above examples, it is possible to very efficiently translate the potential ASCII
ASCII
The American Standard Code for Information Interchange is a character-encoding scheme based on the ordering of the English alphabet. ASCII codes represent text in computers, communications equipment, and other devices that use text...

 input values (A,S,M,D or unknown) into a pointer array index without actually using a table lookup, but is shown here as a table for consistency with the first example.
CT2P pointer array
{| class="wikitable"

! pointer array!!
|-
| -->default
|-
| -->Add
|-
| -->Subtract
|-
| -->Multiply
|-
| -->Divide
|-
| -->?other
|}

Multi-dimensional control tables can be constructed (i.e. customized) that can be 'more complex' than the above examples that might test for multiple conditions on multiple inputs or perform more than one 'action', based on some matching criteria. An 'action' can include a pointer to another subordinate control table. The simple example below has had an implicit 'OR' condition incorporated as an extra column (to handle lower case input, however in this instance, this could equally have been handled simply by having an extra entry for each of the lower case characters specifying the same subroutine identifier as the upper case characters). An extra column to count the actual run-time events for each input as they occur is also included.

CT3
input 1alternate subr # count
A a 1 0
S s 2 0
M m 3 0
D d 4 0
? ? 0 0

The control table entries are then much more similar to conditional statements in procedural languages but, crucially, without the actual (language dependent) conditional statements (i.e. instructions) being present (the generic code is physically in the interpreter that processes the table entries, not in the table itself - which simply embodies the program logic via its structure and values).

In tables such as these, where a series of similar table entries defines the entire logic, a table entry number or pointer may effectively take the place of a program counter
Program counter
The program counter , commonly called the instruction pointer in Intel x86 microprocessors, and sometimes called the instruction address register, or just part of the instruction sequencer in some computers, is a processor register that indicates where the computer is in its instruction sequence...

 in more conventional programs and may be reset in an 'action', also specified in the table entry. The example below (CT4) shows how extending the earlier table, to include a 'next' entry (and/or including an 'alter flow' (jump
Jump
Jump may refer to:* Jumping, to propel oneself rapidly upward such that momentum causes the body to become airborne* To get attacked by a group of people e.g...

) subroutine) can create a loop (This example is actually not the most efficient way to construct such a control table but, by demonstrating a gradual 'evolution' from the first examples above, shows how additional columns can be used to modify behaviour.) The fifth column demonstrates that more than one action can be initiated with a single table entry - in this case an action to be performed after the normal processing of each entry ('-' values mean 'no conditions' or 'no action').

Structured programming
Structured programming
Structured programming is a programming paradigm aimed on improving the clarity, quality, and development time of a computer program by making extensive use of subroutines, block structures and for and while loops - in contrast to using simple tests and jumps such as the goto statement which could...

 or "Goto-less" code
Structured programming
Structured programming is a programming paradigm aimed on improving the clarity, quality, and development time of a computer program by making extensive use of subroutines, block structures and for and while loops - in contrast to using simple tests and jumps such as the goto statement which could...

, (incorporating the equivalent of 'DO WHILE
Do while loop
In most computer programming languages, a do while loop, sometimes just called a do loop, is a control flow statement that allows code to be executed repeatedly based on a given Boolean condition. Note though that unlike most languages, Fortran's do loop is actually analogous to the for loop.The...

' or 'for loop
For loop
In computer science a for loop is a programming language statement which allows code to be repeatedly executed. A for loop is classified as an iteration statement....

' constructs), can also be accommodated with suitably designed and 'indented' control table structures.

CT4 (a complete 'program' to read input1 and process, repeating until 'E' encountered)
input 1alternate subr # count jump
- - 5 0 -
E e 7 0 -
A a 1 0 -
S s 2 0 -
M m 3 0 -
D d 4 0 -
? ? 0 0 -
- - 6 0 1
CT4P pointer array
{| class="wikitable"

! pointer array!!
|-
| -->Default
|-
| -->Add
|-
| -->Subtract
|-
| -->Multiply
|-
| -->Divide
|-
| -->Read Input1
|-
| -->Alter flow
|-
| -->End
|}

Table-driven rating

In the specialist field of telecommunications rating
Telecommunications rating
In telecommunications rating is the activity of determining the cost of a particular call. The rating process involves converting call-related data into a monetary-equivalent value....

 (concerned with the determining the cost of a particular call),
table-driven rating techniques illustrate the use of control tables in applications where the rules may change frequently because of market forces. The tables that determine the charges may be changed at short notice by non-programmers in many cases..

If the algorithms are not pre-built into the interpreter (and therefore require additional runtime interpretation of an expression held in the table), it is known as "Rule-based Rating" rather than table-driven rating (and consequently consumes significantly more overhead).

Spreadsheets

A spreadsheet
Spreadsheet
A spreadsheet is a computer application that simulates a paper accounting worksheet. It displays multiple cells usually in a two-dimensional matrix or grid consisting of rows and columns. Each cell contains alphanumeric text, numeric values or formulas...

 data sheet can be thought of as a two dimensional control table, with the non empty cells representing data to the underlying spreadsheet program (the interpreter). The cells containing formula are usually prefixed with an equals sign and simply designate a special type of data input that dictates the processing of other referenced cells - by altering the control flow within the interpreter. It is the externalization of formulae from the underlying interpreter that clearly identifies both spreadsheets, and the above cited "rule based rating" example as readily identifiable instances of the use of control tables by non programmers.
Programming paradigm
If the control tables technique could be said to belong to any particular programming paradigm
Programming paradigm
A programming paradigm is a fundamental style of computer programming. Paradigms differ in the concepts and abstractions used to represent the elements of a program and the steps that compose a computation A programming paradigm is a fundamental style of computer programming. (Compare with a...

, the closest analogy might be Automata-based programming
Automata-Based Programming
Automata-based programming is a programming paradigm in which the program or its part is thought of as a model of a finite state machine or any other formal automaton...

 or "reflective"
Reflection (computer science)
In computer science, reflection is the process by which a computer program can observe and modify its own structure and behavior at runtime....

 (a form of metaprogramming
Metaprogramming
Metaprogramming is the writing of computer programs that write or manipulate other programs as their data, or that do part of the work at compile time that would otherwise be done at runtime...

 - since the table entries could be said to 'modify' the behaviour of the interpreter). The interpreter itself however, and the subroutines, can be programmed using any one of the available paradigms or even a mixture. The table itself can be essentially a collection of "raw data
Raw data
'\putang inaIn computing, it may have the following attributes: possibly containing errors, not validated; in sfferent formats; uncoded or unformatted; and suspect, requiring confirmation or citation. For example, a data input sheet might contain dates as raw data in many forms: "31st January...

" values that do not even need to be compiled and could be read in from an external source (except in specific, platform dependent, implementations using memory pointers directly for greater efficiency).
Analogy to bytecode / virtual machine instruction set
A multi-dimensional control table has some conceptual similarities to bytecode
Bytecode
Bytecode, also known as p-code , is a term which has been used to denote various forms of instruction sets designed for efficient execution by a software interpreter as well as being suitable for further compilation into machine code...

 operating on a virtual machine
Virtual machine
A virtual machine is a "completely isolated guest operating system installation within a normal host operating system". Modern virtual machines are implemented with either software emulation or hardware virtualization or both together.-VM Definitions:A virtual machine is a software...

, in that a platform dependent "interpreter"
Interpreter (computing)
In computer science, an interpreter normally means a computer program that executes, i.e. performs, instructions written in a programming language...

 program is usually required to perform the actual execution (that is largely conditionally determined by the tables content). There are also some conceptual similarities to the recent Common Intermediate Language
Common Intermediate Language
Common Intermediate Language is the lowest-level human-readable programming language defined by the Common Language Infrastructure specification and is used by the .NET Framework and Mono...

 (CIL) in the aim of creating a common intermediate 'instruction set' that is independent of platform (but unlike CIL, no pretentions to be used as a common resource for other languages). P-code
P-Code machine
In computer programming, a p-code machine, or portable code machine is a virtual machine designed to execute p-code...

 can also be considered a similar but earlier implementation with origins as far back as 1966.
Instruction fetch
When a multi-dimensional control table is used to determine program flow, the normal "hardware" Program Counter
Program counter
The program counter , commonly called the instruction pointer in Intel x86 microprocessors, and sometimes called the instruction address register, or just part of the instruction sequencer in some computers, is a processor register that indicates where the computer is in its instruction sequence...

 function is effectively simulated with either a pointer to the first (or next) table entry or else an index to it. "Fetching" the instruction involves decoding the data in that table entry - without necessarily copying all or some of the data within the entry first. Programming languages that are able to use pointers have the dual advantage that less overhead
Computational overhead
In computer science, overhead is generally considered any combination of excess or indirect computation time, memory, bandwidth, or other resources that are required to attain a particular goal...

 is involved, both in accessing the contents and also advancing the counter to point to the next table entry after execution. Calculating the next 'instruction' address (i.e. table entry) can even be performed as an optional additional action of every individual table entry allowing loops and or jump
Branch (computer science)
A branch is sequence of code in a computer program which is conditionally executed depending on whether the flow of control is altered or not . The term can be used when referring to programs in high level languages as well as program written in machine code or assembly language...

 instructions at any stage.
Monitoring control table execution
The interpreter program can optionally save the program counter (and other relevant details depending upon instruction type) at each stage to record a full or partial trace of the actual program flow for debugging
Debugging
Debugging is a methodical process of finding and reducing the number of bugs, or defects, in a computer program or a piece of electronic hardware, thus making it behave as expected. Debugging tends to be harder when various subsystems are tightly coupled, as changes in one may cause bugs to emerge...

 purposes, hot spot
Hot spot (computer science)
A hot spot in computer science is most usually defined as a region of a computer program where a high proportion of executed instructions occur or where most time is spent during the program's execution .If a program is stopped randomly, the program counter...

 detection, code coverage
Code coverage
Code coverage is a measure used in software testing. It describes the degree to which the source code of a program has been tested. It is a form of testing that inspects the code directly and is therefore a form of white box testing....

 analysis and performance analysis
Performance analysis
In software engineering, profiling is a form of dynamic program analysis that measures, for example, the usage of memory, the usage of particular instructions, or frequency and duration of function calls...

 (see examples CT3 & CT4 above).
Advantages
  • clarity - Information tables
    Table (information)
    A table is a means of arranging data in rows and columns.Production % of goalNorth 4087102%South 4093110% The use of tables is pervasive throughout all communication, research and data analysis. Tables appear in print media, handwritten notes, computer software, architectural...

     are ubiquitous
    Ubiquitous computing
    Ubiquitous computing is a post-desktop model of human-computer interaction in which information processing has been thoroughly integrated into everyday objects and activities. In the course of ordinary activities, someone "using" ubiquitous computing engages many computational devices and systems...

     and mostly inherently understood
    Understanding
    Understanding is a psychological process related to an abstract or physical object, such as a person, situation, or message whereby one is able to think about it and use concepts to deal adequately with that object....

     even by the general public
    General Public
    General Public were a band formed by The Beat vocalists, Dave Wakeling and Ranking Roger, and which included former members of Dexy's Midnight Runners, The Specials and The Clash...

     (especially fault diagnostic tables in product guides
    User guide
    A user guide or user's guide, also commonly known as a manual, is a technical communication document intended to give assistance to people using a particular system...

    )
  • portability - can be designed to be 100% language independent (and platform independent - except for the interpreter)
  • flexibility - ability to execute either primitives
    Language primitive
    In computing, language primitives are the simplest elements available in a programming language. A primitive can be defined as the smallest 'unit of processing' available to a programmer of a particular machine, or can be an atomic element of an expression in a language.-Machine level primitives:A...

     or subroutine
    Subroutine
    In computer science, a subroutine is a portion of code within a larger program that performs a specific task and is relatively independent of the remaining code....

    s transparently and be custom designed to suit the problem
  • compactness - table usually shows condition/action pairing side-by-side (without the usual platform/language implementation dependencies), often also resulting in
  • binary file
    Binary file
    A binary file is a computer file which may contain any type of data, encoded in binary form for computer storage and processing purposes; for example, computer document files containing formatted text...

     - reduced in size through less duplication of instructions
  • source
    Source code
    In computer science, source code is text written using the format and syntax of the programming language that it is being written in. Such a language is specially designed to facilitate the work of computer programmers, who specify the actions to be performed by a computer mostly by writing source...

     file - reduced in size through elimination of multiple conditional statements
  • improved program load (or download) speeds
  • maintainability - tables often reduce the number of source lines needed to be maintained v. multiple compares
  • locality of reference - compact tables structures result in tables remaining in cache
    Cache
    In computer engineering, a cache is a component that transparently stores data so that future requests for that data can be served faster. The data that is stored within a cache might be values that have been computed earlier or duplicates of original values that are stored elsewhere...

  • code re-use - the "interpreter" is usually reusable. Frequently it can be easily adapted to new programming tasks using precisely the same technique and can grow 'organically' becoming, in effect, a standard library
    Standard library
    A standard library for a programming language is the library that is conventionally made available in every implementation of that language. In some cases, the library is described directly in the programming language specification; in other cases, the contents of the standard library are...

     of tried and tested subroutines, controlled by the table definitions.
  • efficiency
    Algorithmic efficiency
    In computer science, efficiency is used to describe properties of an algorithm relating to how much of various types of resources it consumes. Algorithmic efficiency can be thought of as analogous to engineering productivity for a repeating or continuous process, where the goal is to reduce...

     - systemwide optimization possible. Any performance improvement to the interpreter usually improves all applications using it (see examples in 'CT1' above).
  • extensible - new 'instructions' can be added - simply by extending the interpreter
  • interpreter can be written like an application program

Optionally:-
  • the interpreter can be introspective
    Introspection
    Introspection is the self-observation and reporting of conscious inner thoughts, desires and sensations. It is a conscious and purposive process relying on thinking, reasoning, and examining one's own thoughts, feelings, and, in more spiritual cases, one's soul...

     and "self optimize
    Optimization (computer science)
    In computer science, program optimization or software optimization is the process of modifying a software system to make some aspect of it work more efficiently or use fewer resources...

    " using runtime metrics
    Software metric
    A software metric is a measure of some property of a piece of software or its specifications. Since quantitative measurements are essential in all sciences, there is a continuous effort by computer science practitioners and theoreticians to bring similar approaches to software development...

     collected within the table itself (see CT3 and CT4 - with entries that could be periodically sorted by descending count). The interpreter can also optionally choose the most efficient lookup technique dynamically from metrics gathered at run-time (e.g. size of array, range of values, sorted or unsorted)
  • dynamic dispatch
    Dynamic dispatch
    In computer science, dynamic dispatch is the process of mapping a message to a specific sequence of code at runtime. This is done to support the cases where the appropriate method can't be determined at compile-time...

     - common functions can be pre-loaded and less common functions fetched only on first encounter to reduce memory
    Memory
    In psychology, memory is an organism's ability to store, retain, and recall information and experiences. Traditional studies of memory began in the fields of philosophy, including techniques of artificially enhancing memory....

     usage. In-table memoization
    Memoization
    In computing, memoization is an optimization technique used primarily to speed up computer programs by having function calls avoid repeating the calculation of results for previously processed inputs...

     can be employed to achieve this.
  • The interpreter can have debugging, trace and monitor features built-in - that can then be switched on or off at will according to test or 'live' mode
  • control tables can be built 'on-the-fly' (according to some user input or from parameters) and then executed by the interpreter (without building code literally).

Disadvantages
  • training requirement - application programmers are not usually trained to produce generic solutions

The following mainly apply to their use in multi-dimensional tables, not the one dimensional tables discussed earlier.
  • overhead
    Computational overhead
    In computer science, overhead is generally considered any combination of excess or indirect computation time, memory, bandwidth, or other resources that are required to attain a particular goal...

     - some increase because of extra level of indirection caused by virtual instructions having to be 'interpreted' (this however can usually be more than offset by a well designed generic interpreter taking full advantage of efficient direct translate, search and conditional testing techniques that may not otherwise have been utilized)
  • Complex expression
    Expression (programming)
    An expression in a programming language is a combination of explicit values, constants, variables, operators, and functions that are interpreted according to the particular rules of precedence and of association for a particular programming language, which computes and then produces another value...

    s cannot always be used directly in data table entries for comparison purposes and, by setting a truth flag
    Truth bit
    A truth bit or truth flag in computer science is an indicator that needs to be only one bit long whose value is either 1 or 0 - representing TRUE or FALSE...

     as its result, it can then be tested in the next table entry. See Structured program theorem
    Structured program theorem
    The structured program theorem is a result in programming language theory. It states that every computable function can be implemented in a programming language that combines subprograms in only three specific ways...

    )

Quotations








See also
  • Automata-based programming
    Automata-Based Programming
    Automata-based programming is a programming paradigm in which the program or its part is thought of as a model of a finite state machine or any other formal automaton...

  • Database-centric architecture
    Database-centric architecture
    Database-centric architecture or data-centric architecture has several distinct meanings, generally relating to software architectures in which databases play a crucial role. Often this description is meant to contrast the design to an alternative approach...

  • Data-driven testing
    Data-driven testing
    Data-driven testing is a term used in the testing of computer software to describe testing done using a table of conditions directly as test inputs and verifiable outputs as well as the process where test environment settings and control are not hard-coded...

  • Decision table
    Decision table
    Decision tables are a precise yet compact way to model complicated logic.Decision tables, like flowcharts and if-then-else and switch-case statements, associate conditions with actions to perform, but in many cases do so in a more elegant way....

  • Finite-state machine
  • Keyword-driven testing
    Keyword-driven testing
    Keyword-driven testing, also known as table-driven testing or action-word testing, is a software testing methodology for automated testing that separates the test creation process into two distinct stages: a Planning Stage, and an Implementation Stage.-Overview:Although keyword testing can be used...

  • Pointer (computing)
  • Switch statement
    Switch statement
    In computer programming, a switch, case, select or inspect statement is a type of selection control mechanism that exists in most imperative programming languages such as Pascal, Ada, C/C++, C#, Java, and so on. It is also included in several other types of languages...

     - multiway branch
    Multiway branch
    Multiway branch is a computer science term used to describe the change to a program's control flow based upon a value matching a selected criteria. It is a form of conditional statement...

    ing to one of a number of program label
    Label (programming language)
    A label in a programming language is a sequence of characters that identifies a location within source code. In most languages labels take the form of an identifier, often followed by a punctuation character . In many high level programming languages the purpose of a label is to act as the...

    s, depending upon a single input variable
  • Token threading

External links
The source of this article is wikipedia, the free encyclopedia.  The text of this article is licensed under the GFDL.
 
x
OK