You can write Mathematics, and WIRIS CALC will perform the calculations for you.

The main area is a Sheet, where the calculations are made;

The sheet is the main part of WIRIS CALC. It can be thought of as three areas - one for calculations, one for definitions, and one for graphics. A single CALC session can have multiple sheets, as described in the last section of this page.


Area for Calculating

Area for Graphing

Area for Defining

Calculate

Here is where all formulas and calculations are written. When you open a new CALC session, by default you begin writing in this area. The whole area is organized into lines, like a piece of ruled paper. You write calculations, one in each line.

Initially, a new line has an empty box with a cursor inside it, ready to accept new formulas. You usually write a formula and then press an Action to get a result. So, in one line you'll have each of: Formula, Action, and Result.

Each line has three buttons on the right:

  • Insert a new line, before this one
  • Recalculate all
  • Remove this line

To insert a new line between two existing ones, you can also click on the narrow space that exists between the lines. You can rearrange the lines; drag a line and drop it to the new place. Try a calculation now:

  • Write any formula.
  • Apply an action. The default action is Calc. Click on the rightmost Toolbar button, or simply press the Return key on your keyboard.
  • You will get the result. The Calc action does different things in different types of formulas.

You can expect any formula that a scientific calculator would understand to be calculated here. However, WIRIS CALC also carries out symbolic computations. If you write a letter such as a,b,c,x,y, etc. it will be treated as a "variable". For example:

To insert special symbols such as roots, fractions, etc. use the Toolbar, or the Menu.

Graph

WIRIS CALC can graph functions, equations, inequalities, and points. Initially there is no graph, but one is created when you use the Plot action. Try it yourself:

  • Write a formula, and click on the Plot action to see the result.

Thus, the sheet can have an area on the right to show graphics. Once there is a graph, it comes with several options to configure it.

Define

Each line has an area on the left where you can define variables and functions.

  • You can enter a name for a value, such as price, and then use this label in calculations.
  • You can also assign a value to the variable y, and all subsequent lines will use that value for y.
  • You can enter a name for a function, and later you can derive it or plot it with the use of that label.

Multiple Sheets

A session can have multiple sheets. Initially, there is just one sheet, but you can add more by using the New sheet button. It's the one with a plus (+) sign, located to the left of the session title.

Each sheet has a name --by default, Sheet 1-- located to the right of the session title. You can change the name by clicking on it.

Multiple Sheets
Multiple Sheets

When you Save or Open a session, all its sheets will be saved or opened as well.

You can move between sheets using the tabs on the upper left. You can rearrange the sheets by dragging and dropping the tabs. You can delete a sheet using the corresponding button in its tab.

There is no interrelationship among the sheets, so the variables defined in one sheet aren't reflected in another.


The toolbar is at the bottom of the sheet, where it provides fast access to several useful buttons.

  • On the left, there are buttons for the most used operations.
  • On the right, there are buttons for general actions.

Most used operations

Actions

See also Keyboard shortcuts and Drag and drop to make your work easier.

Most frequently used operations

Frequently used operations have buttons in the toolbar for faster access.

Most frequently used operations
Fraction
Power
Square root
Newline

For Square root, Fraction and Power you can select a portion of a formula before pressing the button. The operation will be build around it.

For Fraction you can also use the keyboard 2/3, but it won't look very nice. For Power you can type 2^3 and it will automatically be converted to the nicer form.

Use Newline to enter systems of equations. Also, you can use it in a command that takes a list as input. So, you can work with vertical lists, which are usually more readable.

Actions

Given a formula, you can perform multiple Actions on it. Actions are big buttons, each with an icon and a name. The general actions are in the Toolbar, but there are also other actions in the sections of the Menu, such as the Derive action in the Calculus section.

Actions
Calc
Simplify
Factor
Approx
Substitute
Plot
Text
Add image

Some actions are configurable, and some are not. You configure an action by clicking its symbol in the line. This symbol is placed between the initial formula and the calculated result. For example, you can change the color of a function graph by clicking the Plot symbol of a line.

After reconfiguration, the line is automatically recalculated. Each time you recalculate a line, all other lines will also be recalculated.

The Text action is special: It doesn't act on an existing formula but instead creates a new line to contain text that will not be calculated. You can use it for comments. Text lines have a light-green borders. See Format for text options.

The most common action is Calc. It does different things, depending on the input:

  • Over a numerical expression, it calculates it.
  • Over an algebraic expression, it reduces/simplifies it.
  • Over a programming command, it executes it.
  • Over an equation or a system, it solves it.

The menu, shown on the left, contains a complete list of buttons and commands, which are grouped into sections.

Menu items

Each section can contain three types of items, in this order:
  • Big buttons, with an icon and a word: These are Actions.
  • Mathematical symbols, usually with little placeholder boxes.
  • Plain words: These are mathematical functions or programming commands, which usually require parameters. For example, think of sin(angle) or rank(matrix).

Below are brief descriptions of the Menu sections. Note that some buttons are repeated if they belong in more than one category. The full reference for all of the Menu functions can be found here.

Symbols Mathematical constants, operators and parentheses.
Arithmetic Operations and functions used in elementary integer arithmetic.
Polynomials Operations and functions that apply to polynomials.
Statistics Statistical functions. These apply to lists in WIRIS CALC, e.g. {1,4,7,7}.
Functions A list of common real functions. When applicable they can also accept and return complex values.
Calculus Derivatives, Integrals and Limits, as well as other miscellaneous functions.
Linear Algebra Vector and matrix input, and common operations in linear algebra.
Combinatorics Permutations, combinations, with/without repetition, etc.
Logic and sets Logical and set operators.
Solve Functions for solving equations.
Greek All lowercase and capital greek letters.
Units of measure All S.I. units and prefixes, and some useful tools for working with units.
Graphics Plot in 2D, 3D, or plot a region.
Programming Usual programming commands.
Format Insert and format a text-box, or insert an image.

In the top left corner of the CALC window, you'll see a small toolbar:

These buttons help you manage your sessions or change global settings.

Tools
More
See table below.
Save
Save the session in online storage. For information on how this works, see Saving your work below.
Application settings
See the section below.
Help
This manual.
More
New
Opens another WIRIS CALC window.
Open
Load a session from online storage.
Save as ...
Do not update the current session file, but save it as a new one in online storage.
Remove this document
Remove it from online storage.
Download
Get the session file, to save it locally, in your device.
Download as PDF
Get a printable PDF.
Upload
Load a session file from your device.
Application settings

Languages: UI and commands

The language used in WIRIS CALC when you open it is guessed from various sources. Of course, you may also choose any of the supported languages. Select the Save settings in cookies option if you want to make the change permanent (on your internet browser).

The WIRIS CALC user interface is fully translated into the languages seen on the list below. All commands are also translated to most of these languages, save for a few. When a UI language is selected that doesn't have commands in that language, the commands used are the English ones. Below is a complete list of supported languages, noting when the commands are also available.

Language list

UI Language Command Language
Català - ca Català
Dansk -da English
Deutsch - de Deutsch
Eλληνικά - el English
English - en English
Español - es Español
Français - fr Français
Italiano - it Italiano
Norsk bokmål - nb English
Norsk nynorsk - nn English
Português - pt Português
Português brasileiro - pt_br Português

Significant digits

You can set the number of significant digits to be shown when results have decimal numbers. The valid values are from 1 to 15, which is the maximum. The last digit is rounded to nearest with half up tie-breaking, just like the round() command.

Precision
Significant digits: 4
Significant digits: 15

Angle units

As with a handheld calculator, in WIRIS CALC you can work with angles in one of two modes:

  • RAD: radians. A turn is . This is the default mode.
  • DEG: degrees. A turn is 360º.

You can see the current mode in the title bar, shown at right.

Unit of angle

When you use a direct trigonometric function (e.g., sin(2)), the input angle is assumed to be in radians or degrees, according to the mode. When using an inverse trigonometric function (e.g., arcsin(0.5)) the result angle should also be interpreted according to the mode. See the trigonometric functions section. Commands argument() and polar(), for complex numbers are like arctan(), and their results are also according to the mode.

  • In direct trigonometric functions, an input angle with the symbol º will always be interpreted as degrees regardless of the mode. The result angles will never have the symbol º, even in DEG mode.

WIRIS CALC uses online storage by default, via Google Drive. However, you can also save and load sessions from your local device (desktop computer, laptop, handheld device, etc.).

Online saving

To save online, just press the Save button:

When you save a session for the first time, you'll be prompted to log in and give permission for WIRIS CALC to associate with your Google Drive. Once you are logged in, you can see your username in the title bar, shown at right.

You can also make sessions opened from Google Drive automatically take you to WIRIS CALC. In Google Drive, just go to Settings > Managing apps, and tick Use by default next to WIRIS CALC:

Creating a new CALC

Additionally, once you've associated CALC to your Google Drive through the above steps, you will be able to open new CALC files directly from Google Drive. Just go to New in the top left corner > More > WIRIS calc:

Offline saving

To save sessions offline (directly to your device), click on More > Download:

This downloads a WIRIS CALC session file, which you can then open again with the Upload button in the same drop-down menu.

These keyboard shortcuts are available to speed up your editing. The words shown in parentheses are suggested mnemonics.

Edition

Edition
Cut Ctrl+X
Copy Ctrl+C
Paste Ctrl+V
Undo Ctrl+Z
Redo Ctrl+Y
Delete line Ctrl+Shift+Del
Bold Ctrl+B
Italic Ctrl+I

Most frequently used operations

Most frequently used operations
Fraction Ctrl+/
Power Ctrl+Up
Element of list Ctrl+Down
Square root Ctrl+.
Root Ctrl+,
New line Shift+Enter

Actions

Actions Name Shortcut
Calc (Evaluate) Ctrl+Shift+E
Simplify Ctrl+Shift+S
Factor Ctrl+Shift+F
Approx Ctrl+Shift+A
Substitute (Replace) ctrl+Shift+R
Plot Ctrl+Shift+P
Text (Comment) Ctrl+Shift+C
Add image Ctrl+Shift+G
Derive Ctrl+Shift+D
Integrate Ctrl+Shift+I
Verify Ctrl+Shift+V
Plot 3-D Ctrl+Shift+Q

Tools

Tools
Open Ctrl+O
Save Ctrl+S
Options Ctrl+*
Help Ctrl+H

Symbols

Symbols
Number pi Ctrl+Q
Number e Ctrl+E
Imaginary unit Ctrl+J

You can drag-and-drop formulas and plotters. Hold and move them by the mark within the frame.

Formula into Formula

Formula into Formula The first formula will be inserted into the other.

Formula into Empty Line

Formula into Empty Line The formula will be copied.
This way, you can reuse formulas and results.

Formula x=... into Formula

Formula
like x=...
into Formula The variable in the second formula is substituted
by the value in the first one.

Formula x=... into Define area

Formula
like x=...
into Define area The variable in the first formula will be defined
from this point forward.

Formula into Plotter Area

Formula into Plotter Area The formula will be plotted in a new plotter.

Autoformat replaces some symbols from keyboard by their better looking counterparts. At present the replacements are:

The replacement is done while you type, so you never see the actual key pressed.

Autoformat now auto-closes parentheses and alike. When you write the left enclosure, the right enclosure is automatically put.

These are the enclosers that have this feature:

If you want to modify this automatic end symbol, place the cursor next to the symbol, before it, on the inside part, and write the alternate end symbol.

See this example of an open-closed interval: