Software calculator

Last updated May 19, 2024

A software calculator is a calculator that has been implemented as a computer program, rather than as a physical hardware device.

They are among the simpler interactive software tools, and, as such, they provide operations for the user to select one at a time. They can be used to perform any process that consists of a sequence of steps each of which applies one of these operations, and have no purpose other than these processes, because the operations are the sole, or at least the primary, features of the calculator, rather than being secondary features that support other functionality that is not normally known simply as calculation.^[1]

As a calculator, rather than a computer, they usually have a small set of relatively simple operations, perform short processes that are not compute intensive and do not accept large amounts of input data or produce many results, though many software calculators can emulate handheld scientific calculator and graphing calculator features such as trigonometric functions, approximations of pi, and making plots of functions. These can be native applications or web apps, that can be accessed by visiting a website.^[2]

Platforms

A Casio Databank calculator watch Calculatorwatch.jpg — A Casio Databank calculator watch

Software calculators are available for many different platforms, and they can be:

A program for, or included with an operating system.
A program implemented as server or client-side scripting (such as JavaScript) within a web page.
Embedded in a calculator watch.
Also complex software may have calculator-like dialogs, sometimes with the full calculator functionality, to enter data into the system.

History

Early years

Computers as we know them today first emerged in the 1940s and 1950s. The software that they ran was naturally used to perform calculations, but it was specially designed for a substantial application that was not limited to simple calculations. For example, the LEO computer was designed to run business application software such as payroll.

Software specifically to perform calculations as its main purpose was first written in the 1960s, and the first software package for general calculations to obtain widespread use was released in 1978.^[3] This was VisiCalc and it was called an interactive visible calculator, but it was actually a spreadsheet, and these are now not normally known simply as calculators.

The Unix version released in 1979, V7 Unix, contained a command-line accessible calculator.

Simulation of hardware calculators

Calculators have been used since ancient times and until the advent of software they were physical, hardware machines. The most recent hardware calculators are electronic hand-held devices with buttons for digits and operations, and a small display for inputs and results.

The first software calculators imitated these hardware calculators by implementing the same functionality with mouse-operated, rather than finger-operated, buttons. Such software calculators first emerged in the 1980s as part of the original Macintosh operating system (System 1) and the Windows operating system (Windows 1.0).

Some software calculators directly simulate one of the hardware calculators, by presenting an image that looks like the calculator, and by providing the same functionality.

Software calculators on the Internet

There is now a very wide range of software calculators, and searching the Internet produces very large numbers of programs that are called calculators.

The results include numerical calculators that apply arithmetic operations or mathematical functions to numbers, and that produce numerical results or graphs of numerical functions, plus some non-numerical tools and games that are also called calculators.

Many of the results are calculators that do not imitate or simulate hardware calculators, but that take advantage of the greater power of computer software to implement alternative types of calculators. Software calculators are provided on the Internet which are customizable to use any conceivable algebraic expression. These user-customizable software calculators can also be used in conjunction with formula or equation creation capabilities so that the software calculator can now be created to perform all possible mathematical functions. No longer limited to a set of trigonometric and simple algebraic expressions, versions of the software calculator are now tailored to any and all topical applications.

Examples

Numerical calculators

Every type of hardware calculator has been implemented in software, including conversion, financial, graphing, programmable and scientific calculators.

Other numerical calculators that do not imitate traditional hardware calculators include:

Formula calculators
Window-based calculators: Window-based calculators present a dialog box that allows users to enter data, rather than data and operations, and they have a built-in formula that is automatically applied to this data. There are many examples of such calculators in finance, mathematics, science and other disciplines.
Specialised calculators: There are software calculators that contain operations relevant to a specific application area and profession, including automotive, construction and electrical engineering.

Non-numerical calculators

Not all software-based calculators take numerical data or algebraic expressions as their input. Calculators can also take in arbitrary information ranging from lifestyle information to scientific notation. Some examples of these types of software calculators include:

Love calculator: The input is two names, and there is a button to work out the compatibility, as a percentage, of two people with these names.
Formula weight calculator: The input is a chemical molecular formula , using the periodic-table symbols and notation, and there is a button to work out the percentages of its constituents.
Astronomical calculator: The input is a date and one or multiple celestial bodies (usually the sun, moon, planets, planetoids or comets). The program calculates the position of these bodies to the given date and gives a numerical output of the position (usually in right ascension and declination, whereby the used equinox may be settable), sometimes also from brightness, angle diameter and phase. Some programs can generate a list of astronomical events of certain types during a period of time, e.g. a year. Astronomical calculators can be also a part of a simulation software, displaying the sky at a certain time.

Games

There are also types of software used to help solve games that are sometimes referred to as calculators, including:

Sudoku calculators : The input is a Sudoku puzzle, the operations support solving the puzzle, such as selecting a digit as the solution for a cell, and the result is a solution of the entire puzzle.
Poker calculators : A common feature of these is to calculate the odds of winning with a given Poker hand.

Related software packages

There are many interactive software packages that provide user-accessible calculation features, but that are not normally called calculators, because the calculation features play only a supporting role rather than being an end in themselves. These include:

Spreadsheets, where user-supplied calculations can define a cell’s content.
Computer algebra systems, which can manipulate mathematical expressions, including evaluating simple calculations.
Databases, where user-supplied calculations can specify a field’s value.

Spreadsheets: Spreadsheets are not normally called calculators because their main purpose is to organise data in rows and columns, and to automatically update the values of possibly many dependent cells when the value in another cell changes. The calculation features are only used in a supporting role to specify the values in some cells.
Computer algebra systems: Computer algebra systems are not normally called calculators because their main purpose is to perform symbolic manipulation of mathematical expressions that can contain variables and complex operations, such as integration. However, the expressions can be basic calculations that do not use variables, and that are simply evaluated, as with a calculator.
Databases: Databases are not normally called calculators because their main purpose is data entry and storage, plus reporting against this data. The calculation features are only used in a supporting role to specify the values in some fields.

Related Research Articles

An electronic calculator is typically a portable electronic device used to perform calculations, ranging from basic arithmetic to complex mathematics.

A spreadsheet is a computer application for computation, organization, analysis and storage of data in tabular form. Spreadsheets were developed as computerized analogs of paper accounting worksheets. The program operates on data entered in cells of a table. Each cell may contain either numeric or text data, or the results of formulas that automatically calculate and display a value based on the contents of other cells. The term spreadsheet may also refer to one such electronic document.

<span class="mw-page-title-main">TI-89 series</span> Series of graphing calculators

The TI-89 and the TI-89 Titanium are graphing calculators developed by Texas Instruments (TI). They are differentiated from most other TI graphing calculators by their computer algebra system, which allows symbolic manipulation of algebraic expressions—equations can be solved in terms of variables, whereas the TI-83/84 series can only give a numeric result.

A computer algebra system (CAS) or symbolic algebra system (SAS) is any mathematical software with the ability to manipulate mathematical expressions in a way similar to the traditional manual computations of mathematicians and scientists. The development of the computer algebra systems in the second half of the 20th century is part of the discipline of "computer algebra" or "symbolic computation", which has spurred work in algorithms over mathematical objects such as polynomials.

Lotus Symphony was an integrated software package for creating and editing text, spreadsheets, charts and other documents on the MS-DOS operating systems. It was released by Lotus Development as a follow-on to its popular spreadsheet program, Lotus 1-2-3, and was produced from 1984 to 1992. Lotus Jazz on the Apple Macintosh was a sibling product.

A graphing calculator is a handheld computer that is capable of plotting graphs, solving simultaneous equations, and performing other tasks with variables. Most popular graphing calculators are programmable calculators, allowing the user to create customized programs, typically for scientific, engineering or education applications. They have large screens that display several lines of text and calculations.

<span class="mw-page-title-main">TI-92 series</span> Series of graphing calculators produced by Texas Instruments

The TI-92 series are a line of graphing calculators produced by Texas Instruments. They include: the TI-92 (1995), the TI-92 II (1996), the TI-92 Plus and the Voyage 200 (2002). The design of these relatively large calculators includes a QWERTY keyboard. Because of this keyboard, it was given the status of a "computer" rather than "calculator" by American testing facilities and cannot be used on tests such as the SAT or AP Exams while the similar TI-89 can be.

<span class="mw-page-title-main">Scientific calculator</span> Calculator designed to calculate problems in science, engineering, and mathematics

A scientific calculator is an electronic calculator, either desktop or handheld, designed to perform calculations using basic and complex mathematical operations and functions. They have completely replaced slide rules as well as books of mathematical tables and are used in both educational and professional settings.

There are various ways in which calculators interpret keystrokes. These can be categorized into two main types:

<span class="mw-page-title-main">Mathomatic</span> Computer algebra system

Mathomatic is a free, portable, general-purpose computer algebra system (CAS) that can symbolically solve, simplify, combine and compare algebraic equations, and can perform complex number, modular, and polynomial arithmetic, along with standard arithmetic. It does some symbolic calculus (derivative, extrema, Taylor series, and polynomial integration and Laplace transforms), numerical integration, and handles all elementary algebra except logarithms. Trigonometric functions can be entered and manipulated using complex exponentials, with the GNU m4 preprocessor. Not currently implemented are general functions like f(x), arbitrary-precision and interval arithmetic, and matrices.

<span class="mw-page-title-main">Casio ClassPad 300</span> Family of graphing calculators by Casio

The Casio ClassPad 300, ClassPad 330 and fx-CP400 are stylus based touch-screen graphing calculators. It comes with a collection of applications that support self-study, like 3D Graph, Geometry, eActivity, Spreadsheet, etc. A large 160x240 pixel LCD touch screen enables stylus-based operation. It resembles Casio's earlier Pocket Viewer line. HP and Texas Instruments attempted to release similar pen based calculators (the HP Xpander and PET Project, but both were cancelled before release to the market.

The Casio CFX-9850G series is a series of graphing calculators manufactured by Casio Computer Co., Ltd. from 1996 to 2008.

<span class="mw-page-title-main">TI-Nspire series</span> Series of graphing calculators

The TI-Nspire is a graphing calculator line made by Texas Instruments, with the first version released on 25 September 2007. The calculators feature a non-QWERTY keyboard and a different key-by-key layout than Texas Instruments's previous flagship calculators such as the TI-89 series.

Xcas is a user interface to Giac, which is an open source computer algebra system (CAS) for Windows, macOS and Linux among many other platforms. Xcas is written in C++. Giac can be used directly inside software written in C++.

A formula calculator is a software calculator that can perform a calculation in two steps:

Enter the calculation by typing it in from the keyboard.
Press a single button or key to see the final result.

<span class="mw-page-title-main">Computer algebra</span> Scientific area at the interface between computer science and mathematics

In mathematics and computer science, computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the study and development of algorithms and software for manipulating mathematical expressions and other mathematical objects. Although computer algebra could be considered a subfield of scientific computing, they are generally considered as distinct fields because scientific computing is usually based on numerical computation with approximate floating point numbers, while symbolic computation emphasizes exact computation with expressions containing variables that have no given value and are manipulated as symbols.

The functional database model is used to support analytics applications such as financial planning and performance management. The functional database model, or the functional model for short, is different from but complementary to the relational model. The functional model is also distinct from other similarly named concepts, including the DAPLEX functional database model and functional language databases.

Casio V.P.A.M. calculators are scientific calculators made by Casio which use Casio's Visually Perfect Algebraic Method (V.P.A.M.), Natural Display or Natural V.P.A.M. input methods.

The Casio Algebra FX series was a line of graphing calculators manufactured by Casio Computer Co., Ltd from 1999 to 2003. They were the successor models to the CFX-9970G, the first Casio calculator with computer algebra system, or CAS, a program for symbolic manipulation of mathematical expressions. The calculators were discontinued and succeeded by the Casio ClassPad 300 in 2003.

References

↑ Quirchmayr, Gerald; Schweighofer, Erich; Bench-Capon, Trevor J. M. (1998-08-14). Database and Expert Systems Applications: 9th International Conference, DEXA'98, Vienna, Austria, August 24-28, 1998, Proceedings. Springer Science & Business Media. ISBN 978-3-540-64950-2.
↑ "Percentage Calculator - Calculate Percentages Easily". simplewebtools.online. Retrieved 2024-05-18.
↑ Power, D. J., A Brief History of Spreadsheets, DSSResources.COM, World Wide Web, http://dssresources.com/history/sshistory.html, version 3.6, 30 August 2004. Photo added September 24, 2002.

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[1] Quirchmayr, Gerald; Schweighofer, Erich; Bench-Capon, Trevor J. M. (1998-08-14). Database and Expert Systems Applications: 9th International Conference, DEXA'98, Vienna, Austria, August 24-28, 1998, Proceedings. Springer Science & Business Media. ISBN 978-3-540-64950-2.

[2] "Percentage Calculator - Calculate Percentages Easily". simplewebtools.online. Retrieved 2024-05-18.

[3] Power, D. J., A Brief History of Spreadsheets, DSSResources.COM, World Wide Web, http://dssresources.com/history/sshistory.html, version 3.6, 30 August 2004. Photo added September 24, 2002.

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