MagicPlot User Guide

Tue Jul 5 13:20:09 2016 1/2 MagicPlot User Guide

MagicPlot Manual - http://magicplot.com/wiki/

Table of Contents

MagicPlot User Guide 1 .......................................................................................................................

Overview 1 ............................................................................................................................................

System Requirements and First Launch 1 ...................................................................................

Getting Started: Tables, Figures, Fit Plots and Undo 2 .............................................................

Importing Table from Text File (ASCII) 4 ......................................................................................

Table Editing 6 ..................................................................................................................................

Missing Values (NaN) in Tables and Calculations 8 ....................................................................

Creating a Copy of Table, Fit Plot, Folder or Figure 9 ...............................................................

Nonlinear Curve Fitting with Fit Plot 9 ............................................................................................

Nonlinear Curve Fitting: Fit Plot 10 ..............................................................................................

Fitting Algorithm and Computational Formulas 17 ....................................................................

Joining the Parameters of Fit Curves 22 .......................................................................................

Specifying Custom Fit Equation (Pro edition only) 24 ...............................................................

Using Spline for Baseline Subtraction (Pro edition only) 26 .....................................................

Guessing Peaks (Pro edition only) 28 ...........................................................................................

Predeﬁned Fit Curves Equations 28 ..............................................................................................

Export Curves as Table 30 ..............................................................................................................

Data Processing 31 ..............................................................................................................................

Setting Column Formula 31 ............................................................................................................

Formula Syntax 34 ...........................................................................................................................

Table Sorting 38 ...............................................................................................................................

Data Processing and Auto Recalculation (Pro edition only) 38 ................................................

Smoothing (Pro edition only) 40 ....................................................................................................

Integration (Pro edition only) 42 ...................................................................................................

Diﬀerentiation (Pro edition only) 43 .............................................................................................

Fast Fourier Transform (FFT) (Pro edition only) 44 ....................................................................

Convolution and Deconvolution (Pro edition only) 47 ...............................................................

Correlation (Pro edition only) 47 ...................................................................................................

Histogram Calculation (Pro edition only) 48 ................................................................................

Descriptive Statistics (Pro edition only) 50 .................................................................................

Calculating Integrals and Statistics (Pro edition only) on Intervals using Fit Plot 51 ..........

Batch Processing 53 ............................................................................................................................

Batch Processing (Pro edition only) 54 ........................................................................................

Visual Data Navigation 59 ..................................................................................................................

Scale Scrolling for Data Navigation 59 .........................................................................................

Reading Plot Data, Measuring Distances, Curves Selection 60 ................................................

Quick Plot Tool 63 ............................................................................................................................

Creating and Editing Figures 64 ........................................................................................................

Creating a Figure 64 ........................................................................................................................

Color Map Plots (Pro edition only) 65 ...........................................................................................

Adding and Arranging Axes Boxes on a Figure 75 ......................................................................

Adding and Arranging Curves on Figure Axes 78 .......................................................................

Shifting Curves on Figure and Creating 2D Waterfall 79 ...........................................................

Using Figure Templates 80 .............................................................................................................

Drawing and Editing 82 .......................................................................................................................

Axes Style Editing 82 .......................................................................................................................

Drawing on Figures and Fit Plots, Image Zoom and Objects Selection 82 .............................

Colours and Opacity Adjustment 85 ..............................................................................................

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Creating Transparent Figures and Fit Plots 85 ...........................................................................

Using of Dimensions Toolbar 86 ....................................................................................................

Switching Curves Antialiasing on the Screen 87 .........................................................................

Text Labels Editing 87 .........................................................................................................................

Inserting Special Symbols and Greek Letters 87 ........................................................................

Advanced Typography Features 89 ...............................................................................................

Image Exporting and Copying 91 ......................................................................................................

Image Export 91 ...............................................................................................................................

Preview Image 93 .............................................................................................................................

Copying Images to Clipboard (Pro edition only) 94 ....................................................................

Tools 95 .................................................................................................................................................

MagicPlot Calculator 95 ...................................................................................................................

Appendices 96 ......................................................................................................................................

Portable Installation on USB drive 96 ...........................................................................................

MagicPlot Editions Comparison 96 ................................................................................................

Keyboard Shortcuts 98 ....................................................................................................................

Tue Jul 5 13:20:09 2016 1/101 MagicPlot User Guide

MagicPlot Manual - http://magicplot.com/wiki/

MagicPlot User Guide

This PDF document was compiled from MagicPlot online help.

MagicPlot.com

Overview

System Requirements and First Launch

MagicPlot is a cross-platform application based on Java technology. You need to install Java

software (Java Runtime Environment, also referred to as the Java Runtime, Runtime Environment,

Runtime, JRE, Java Virtual Machine, Virtual Machine, Java VM, JVM, VM) with version not older than 7.

Java 6 is also referred to as Java 1.7.

Where to get the Java Virtual Machine?

Microsoft Windows users: java.com

Mac OS X users: java.com

Unix-like system users: java.com or openjdk.java.net/install/

If you run MagicPlot jar-ﬁle from command line, set the maximum Java heap size by

specifying the following parameters:

java -Xmx1024m -jar magicplot.jar

MagicPlot may not launch on old versions of OpenJDK Java Runtime (version 1.7 is

enough) which may be installed by default on your Unix-like system. In such case update

OpenJDK Java Runtime or install JVM from java.com.

First Launch

MagicPlot does not need any installation procedure.

Place MagicPlot executable ﬁle to directory you prefer.

MagicPlot preferences and registration data are stored in your operating system proﬁle and are

individual for each account.

Opening Projects on Double Click

Windows

To make Windows open your MagicPlot project ﬁles (.mppz) in MagicPlot just open context menu of

one project ﬁle in Explorer and select Open With → Choose Program item. In the opened window

press Browse button and choose MagicPlotPro.exe or MagicPlotStudent.exe ﬁle. Click to

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select the Always use the selected program to open this kind of file checkbox if it is

not selected.

Mac OS X

MagicPlot project ﬁles (.mppz) will be automatically associated with MagicPlot by your operating

system.

Portable Installation

MagicPlot can be installed on USB-drive. See Portable Installation on USB drive for details.

Getting Started: Tables, Figures, Fit Plots and Undo

MagicPlot Projects contain Tables, Figures and Fit Plots. MagicPlot Project ﬁles have .mppz extension.

Tables contain data in various formats.

Tables which contain associated data are located in one Folder.

Fit Plots are intended for non-linear curve ﬁtting and subtracting baselines.

Figures are intended to graphically represent multiple data.

Typically, you need to open, edit, process, plot and ﬁt multiple data acquired in various experiments

or series of experiments within single project. Ordinarily you have the source (imported) Table and a

number of Tables with derivative data, such as Fourier transform or statistics of source Table data.

MagicPlot automatically creates a new Folder every time you import new Table. All derivative data is

stored in the same Folder by default. All Plots created from Tables in certain Folder are stored in the

same Folder.

Close Unused Internal Windows

Feel free to close currently unused interval windows with Tables, Figures and Fit Plots. The data will

not be deleted, the window will be closed only. You can open the closed window by double clicking on

component in Project tree.

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Undo/Redo and History

MagicPlot supports multiple steps undo/redo function with History dialog window. History dialog

supports multiple undo and redo. Undone actions are marked light gray. Last saved state is set oﬀ in

bold.

Where to start?

In most cases you may start with importing table from text ﬁle by clicking Project → Import Text

Table menu item.

Creating Figures and Fit Plots

The easiest way to create Figure or Fit Plot is the following:

Select two columns (x and y) in Table containing your data

Select Create Figure or Create Fit Plot item in the Table context menu

You may also use Create Figure or Create Fit Plot buttons in the toolbar.

Adding New Table to Existing Folder

You can add new table to existing folder by selecting New Table in Folder context menu.

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Enter Expressions in any Numeric Field

MagicPlot can evaluate simple expressions entered in any numeric text ﬁeld (brackets are supported,

see formula syntax for details.) For example, you can enter 12/pi in circle width and height ﬁelds in

Dimensions toolbar if you want its perimeter to be equal to 12 (remember that p=πd, where p is

perimeter and d is diameter):

Importing Table from Text File (ASCII)

Use Project → Import Text Table menu item to import table(s) from text ﬁle(s), also referred

to as ASCII ﬁle(s).

You may select multiple ﬁles in opened standard ﬁle dialog by holding Ctrl or Shift.

If you open multiple ﬁles, you can select the ﬁle to preview in ﬁles drop-down list (in Text

Input Preview frame)

If you select incorrect ﬁle(s) by mistake, click on Open icon to open ﬁle dialog once again and

select other ﬁle(s).

You can set Create Figure or Create Fit Plot checkbox to create Figure of Fit Plot after

importing:

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If you select Figure, the created Figure will contain all imported data from all ﬁles

If you select Fit Plot, one Fit Plot will be created for each imported ﬁle

You can enlarge a part of the preview plot by selecting an area by mouse (scale box zoom tool).

Use context menu of the plot to change scale zoom to default.

F5 key reloads the text ﬁle or reloads the data from clipboard.

Command Line Arguments and 'Silent' Import

MagicPlot opens ﬁles which come as command line arguments on launch. MagicPlot Project ﬁles

(.mppz) are detected as projects, all other ﬁles are teated as text ﬁles and Import dialog is opened.

Text ﬁles will be imported in the current opened project.

'-silent' key in command line forces MagicPlot to import text ﬁles without opening import dialog.

The previously used import setting are used in such case. If Fit Plot or Figure creation was selected in

Import dialog last time new plots will be created.

Example for Windows OS: MagicPlotPro.exe mydata.txt -silent

Please make sure that your ﬁrewall software does not block MagicPlot loopback (127.0.0.1) request.

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Table Editing

In MagicPlot Tables are used to store numeric or text data depending on column type (numeric/text).

Data Types

MagicPlot supports these data types in Tables:

Format Description

Numeric 64-bit double precision ﬂoating-point numbers ( IEEE 754)

Text Unicode string with unlimited length

Notes:

Data type is set for entire columns. One column may not contain data with diﬀerent types.

Empty cells are equivalent to Not-a-Number values.

Values from text columns are treated as empty cells if used as numbers.

Table Context Menu

Table editing functions are available in table context menu (right click to open).

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Changing Column Type

Use Set Column Type menu in column context menu to change column type (numeric/text).

Columns Numbers

Columns are enumerated starting with 1. The ﬁrst 26 columns are additionally denoted with Latin

letters: A, B, C, … Y, Z, 27, 28, 29, …. You can use either numbers or letters, addressing

cells and columns in formulas.

Renaming Columns

Double click on column header to rename table column. You can also use Rename Column context

menu item or press F4.

Moving (Reordering) Columns

Hold Alt key (Option on Mac, Meta/Win on Unix-like) and drag column header to rearrange table

columns. If Alt key is not pressed, mouse dragging on header will select the columns.

Editing Table

You can edit table cell by double clicking on it. You can enter either a number or an expression (e.g.

typing pi in a cell results in 3.1416…, typing 1+2 results in 3).

See Formula Syntax section for expression syntax.

Fit Column Widths

To ﬁt the width of one column, double click on right separator line in table header. To ﬁt several

selected columns widths, double click on one of column separators in table header.

See Also

Setting Column Formula

Formula Syntax

Table Sorting

Missing Values (NaN) in Tables and Calculations

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Missing Values (NaN) in Tables and Calculations

In computing, NaN, which stands for Not a Number, is a value or symbol that is usually produced as a

result of an operation on invalid input operands. For example, most ﬂoating-point units are unable to

explicitly calculate the square root of negative numbers, and will instead indicate that the operation

was invalid and return a NaN result.

An invalid operation is not the same as an arithmetic overﬂow (which returns a positive or negative

inﬁnity). Arithmetic operations involving NaN always produce NaN, allowing the value to propagate

through a calculation so that errors can be detected at the end without extensive testing during

intermediate stages. A NaN does not compare equal to any number or NaN.

How does a NaN appear?

There are three kinds of operations which return NaN:

Operations with a NaN as at least one operand, e.g. 1+NaN1.

Indeterminate forms2.

Divisions 0/0, ∞/∞, ∞/-∞, -∞/∞, -∞/-∞

Multiplications 0*∞, 0*(-∞)

Power 1^∞

Additions ∞+(-∞), (-∞)+∞ and equivalent subtractions.

Real operations with complex results3.

Square root of a negative number

Logarithm of a negative number

Tangent of an odd multiple of 90 degrees (or π/2 radians)

Inverse sine or cosine of a number which is less than -1 or greater than +1.

Examples

Expression Result

0^0 1

0/0 NaN

sqrt(-1) NaN

1/0 Infinity

-1/0 -Infinity

NaN in MagicPlot Tables

In MagicPlot NaN is also used to represent empty cells in Tables.

Statistical functions ignore NaN values in Tables.

NaN in Expressions

You can use predeﬁned constants NaN, nan or NAN in expressions to specify NaN value.

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Example

If you set a Column Formula if(col(B) >= 0, col(B), NaN), it will return only positive

values from column B. Negative values are replaced with NaN value. You can use this

expression to ﬁlter negative values if you do not want to use them in future calculations. Note

that ”Not-a-Number returned at row #” warning can be shown for such expressions.

Creating a Copy of Table, Fit Plot, Folder or Figure

You can create a full copy of selected project components (Tables, Fit Plots, Folders, Figures) by

selecting Create a Copy item on context menu.

What Data are Plotted on the Copied Fit Plots and Figures

If the only Fit Plots and Figures are selected for creating a copy, the created Fit Plots and Figures will

use data from the same tables and columns as initial ones. If you select also the Tables which contain

plotted data, then the created Fit Plots and Figures will use data from created copies of these Tables.

Nonlinear Curve Fitting with Fit Plot

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Nonlinear Curve Fitting: Fit Plot

Creating a Fit Plot

Nonlinear least squares data ﬁtting (nonlinear regression) can be performed using Fit Plot. To create a

Fit Plot, select your X and Y columns in Table, then select Table → Create Fit Plot in main

menu, or use the same item in Table context menu, or use Create Fit Plot button in the toolbar.

MagicPlot has been veriﬁed with NIST Datasets

National Institute of Standards and Technology (NIST) has created Statistical Reference Datasets

Project which includes 26 datasets for testing the nonlinear ﬁt algorithms. MagicPlot has been

successfully tested on these datasets. Our report on MagicPlot testing with NIST datasets is available

here: Report.

Fitting Methodology

'Nonlinear' means here that analytical ﬁtting function depends nonlinearly on varying parameters (ﬁt

parameters). Fit procedure iteratively varies the parameters of ﬁt function to minimize the residual

sum of squares. Nonlinear ﬁtting algorithm needs the user to set the initial values of ﬁt parameters.

To ﬁt the data, implement these steps:

Create a Fit Plot, specify Y errors in Fit Plot properties, if any1.

Specify ﬁt function by adding Fit Curves2.

Specify initial values of ﬁt parameters (drag curves or enter accurate values)3.

Specify used X data interval4.

Run ﬁtting5.

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You can undo ﬁt and also undo changing initial parameters as any other action using Undo function. It

is a handy feature when experimenting with diﬀerent models and initial parameters.

See Also

Fitting Algorithm and Computational Formulas

Specifying Custom Fit Equation (Pro edition only)

Using Spline for Baseline Subtraction (Pro edition only)

Joining the Parameters of Fit Curves

Guessing Peaks (Pro edition only)

Predeﬁned Fit Curves Equations

Calculating Integrals and Statistics (Pro edition only) on Intervals using Fit Plot

Export Curves as Table

Fitting Algorithm and Computational Formulas

MagicPlot uses iterative Levenberg–Marquardt nonlinear least squares curve ﬁtting algorithm

which is widely used in most software.

MagicPlot implementation of Levenberg–Marquardt algorithm is optimised for using with multi-core

processors. MagicPlot successfully passed testing with NIST Nonlinear Regression datasets (see our

report).

Nonlinear Least Squares Algorithm

Fit procedure iteratively varies the parameters β

of ﬁt function f(x, β

, …, β

) to minimize the residual

sum of squares (RSS, χ

here:

and y

are the data points,

N is total number of points,

f(x, β

,…,β

) is the ﬁt function which depends on value of x and ﬁt parameters β

p is the number of ﬁt parameters β

are normalized (Σw

= 1) data weighting coeﬃcients for each point (x

, y

An initial guess for the parameters has to be provided to start minimization. Calculation of the new

guess of parameters on each ﬁt iteration is based on the ﬁt function partial derivatives for current

values of ﬁt parameters for each x value:

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Partial derivatives are computed using explicit formulas (for some predeﬁned ﬁt functions) or with

ﬁnite diﬀerence (for custom equations).

Weighting of Data Points Using Y Errors

MagicPlot can use weighting of y values based on y errors s

If standard y errors s

are speciﬁed: w

= 1 / s

;

Otherwise: all w

= 1.

In Fit Plot Properties dialog (Plot Data tab) you can set one of the following methods to

evaluate standard y errors s

Get y errors from table column(s),

Percent of data for every point,

Fixed value or Standard deviation — do not use in weighting because in this case the error

values are the same for all data points.

Iterations Stop Criteria

After each iteration except the ﬁrst MagicPlot evaluates deviation decrement D:

Deviation decrement shows how the residual sum of squares (RSS) on current iteration relatively

diﬀers from that on the previous iteration.

The iterative ﬁt procedure stops on one of two conditions:

If the deviation decrements D for two last iterations is less than minimum allowable deviation

decrement, which is 10

-9

by default

If the number of iterations exceeds maximum number of iterations, which is 100 by default

You can change the minimum allowable deviation decrement and maximum number of iterations in

Fitting tab of MagicPlot Preferences.

Formulas Used in Fit Report

In the table below you can ﬁnd the formulas which MagicPlot uses to calculate ﬁt parameters and

values in Fit Report tab.

Because of some confusion in the names of the parameters in diﬀerent sources (books and software),

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we also give many diﬀerent names of same parameter in note column.

Parameter

Name

Symbol Formula Note

Original Data and Fit Model Properties

Number of

used data

points

—

This is the number

of data points

inside speciﬁed ﬁt

Interval.

Fit parameters

,…,β

—

For peak-like

functions (Gauss,

Lorentz) these

parameters are

amplitude,

position and half

width at half

maximum.

Only parameters

with unset Lock

checkbox are

taken into

account.

Number of ﬁt

function

parameters β

—

This is the total

number of

unlocked

parameters of ﬁt

curves which are

summarized to ﬁt.

Degrees of

freedom

Estimated

mean of data

Estimated

variance of

data

Not used by ﬁt

algorithm, only for

comparison.

Data total sum

of squares

(TSS, SST)

TSS

Also known as:

• Sum of squares

about the mean.

Fit Result

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Parameter

Name

Symbol Formula Note

Original Data and Fit Model Properties

Residual sum

of squares

(RSS)

This value is

minimized during

the ﬁt to ﬁnd the

optimal ﬁt

function

parameters.

Also known as:

• 'Chi-squared'

• Sum of squared

residuals (SSR),

• Error sum of

squares (ESS),

• Sum of squares

due to error (SSE).

Reduced χ

The advantage of

the reduced chi-

squared is that it

already

normalizes for the

number of data

points and model

(ﬁt function)

complexity.

Also known as:

• Mean square

error (MSE),

• Residual mean

square.

Residual

standard

deviation

Also known as:

• Root mean

square of the error

(Root MSE)

Coeﬃcient

determination

will be equal to

one if ﬁt is

perfect, and to

zero otherwise.

This is a biased

estimate of the

population R

, and

will never

decrease if

additional ﬁt

parameters (ﬁt

curves) are added,

even if they are

irrelevant.

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Parameter

Name

Symbol Formula Note

Original Data and Fit Model Properties

Adjusted R

(or

degrees of

freedom adjusted

R-square) is a

slightly modiﬁed

version of R

designed to

penalize for the

excess number of

ﬁt parameters

which do not add

to the explanatory

power of the

regression. This

statistic is always

smaller than R

can decrease as

you add new ﬁt

curves or

introduce

parameters, and

even be negative

for poorly ﬁtting

models.

Covariance

matrix of

parameters β

Here α is the

matrix of partial

derivatives of ﬁt

function with

respect to

parameters β

and β

which is

also used by

ﬁtting algorithm to

compute

parameters for

next iteration.

Standard

deviation of

parameters β

(std. dev.)

These values are

displayed in Std.

Dev. column in

parameters table.

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Parameter

Name

Symbol Formula Note

Original Data and Fit Model Properties

Correlation

matrix of

parameters β

This matrix shows

if the parameters

are linked. The

values lie in range

-1…1, diagonal

elements are

always 1. If two

parameters are

linked the

corresponding

matrix value will

be close to 1. It

means that

changing the ﬁrst

parameter

compensates

changing of the

second one so

that the ﬁtting

algorithm cannot

select between

them.

See Also

Nonlinear Curve Fitting: Fit Plot

Specifying Custom Fit Equation (Pro edition only)

Using Spline for Baseline Subtraction (Pro edition only)

Joining the Parameters of Fit Curves

Guessing Peaks (Pro edition only)

Predeﬁned Fit Curves Equations

Calculating Integrals and Statistics (Pro edition only) on Intervals using Fit Plot

Joining the Parameters of Fit Curves

In some cases you may want to ﬁt the data with two peaks with the same amplitude for example. You

can do this in two ways: by specifying custom Fit Curve with your equation or by joining the

'amplitude' parameters of two peaks.

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To join parameters of two or more Fit Curves select one of desired Fit Curves, then select desired

parameter in parameters table and press Join button in the bottom of the panel (or double click on

parameter). You can specify the selected parameters as equal or proportional by entering multiplier

and constant for each parameter. Joined parameters are shown with blue color (instead of black) in

curve parameters table in Fit Plot window. Joined parameters are treated as one parameter when

ﬁtting, so joining results in the reducing of actual model parameters number.

In the example above the areas and widths of tho peaks are joined and are equal. The positions of

maximums are joined and inverse: -1 multiplier is set to the width of Curve 3.

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See Also

Nonlinear Curve Fitting: Fit Plot

Specifying Custom Fit Equation (Pro edition only)

To specify custom ﬁt function formula, press Add button and select Custom Equation in popup

menu.

Enter your formula in y(x)= text ﬁeld below. Use x as ﬁt function argument. See formula

syntax for details.

You may recall last entered custom ﬁt functions using Recently Used Custom item in Add

popup menu.

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Fit Parameters

You can introduce Fit Curve parameters with any names except argument x, and constants like e, pi

(see predeﬁned constants for details):

Parameters names are case-sensitive (a and A are diﬀerent parameters).

Parameters names lengths are not limited.

Begin names with letter or _ sign. You can use numbers in the middle or in the end of the name:

a1, a_1, A1, a1t, but the names like 1a are not allowed.

The parameters you introduce in formula will automatically and immediately occur in parameters list,

you do not need to enter parameters names in the list manually. Random values are used as the

initial values of parameters. Do not forget to set more relevant initial values, otherwise ﬁt algorithm

may fail.

Adjusting Parameters with Mouse Wheel

You can adjust Parameters in table using mouse wheel scrolling when mouse cursor is on the desired

parameter: Hold Ctrl key (Cmd key on Mac) and scroll. If Shift key is also pressed the parameter step

for one wheel 'click' will be increased.

See Also

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Nonlinear Curve Fitting: Fit Plot

Using Spline for Baseline Subtraction (Pro edition only)

Predeﬁned Fit Curves Equations

Using Spline for Baseline Subtraction (Pro edition only)

You can use cubic spline to subtract baseline on Fit Plot. To create spline curve click on Add button in

Fit Curves tab of Fit Plot and select Spline menu item.

Do not use splines to subtract baselines which can be ﬁt well enough with Line curve (line or

constant baseline). You may mistakenly subtract wide peaks using spline. In some cases Parabola

curve may be more suitable.

Editing Spline

Created spline has three anchor points by default. You can move, add and remove anchor points:

Move anchor point with mouse

Double click on spline curve to add new anchor point

Double click on anchor point to remove it

Set Baseline checkbox in spline row in ﬁt curves table to subtract spline from data.

Fitting with Spline

Spline anchor point (x, y) coordinates are treated as ﬁt parameters so you can perform ﬁtting with

spline although we don't recommend this technique. Fitting the baseline with some adequate model

function is preferred.

It is recommended to set appropriate ﬁt intervals which contain only baseline without peaks. In such

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case Fit One Curve button is more acceptable than Fit by Sum button, because the individual

interval for current curve will be used and the interval from Fit Interval tab (which is used to ﬁt

by sum of curves) is ignored. Select spline curve and set Edit Interval checkbox in the bottom of

the panel to edit spline interval, then click on Fit One Curve button. The anchor point coordinates

will be varied but the number of points will remain. You also can lock some parameters (usually x

coordinates) by setting Lock checkboxes in parameters table.

See Also

Nonlinear Curve Fitting: Fit Plot

Specifying Custom Fit Equation (Pro edition only)

Guessing Peaks (Pro edition only)

Predeﬁned Fit Curves Equations

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Guessing Peaks (Pro edition only)

MagicPlot can approximately locate peaks in spectrum. To locate peaks click on Guess button in Fit

Curves tab of Fit Plot. Peaks are added at position of global extremum of data-baseline with

previous peaks subtracted.

When Guess Peaks window is open you can see the preview of guessed peaks on Fit Plot. This

preview is updated every time you change the parameters in the window.

See Also

Nonlinear Curve Fitting: Fit Plot

Specifying Custom Fit Equation (Pro edition only)

Using Spline for Baseline Subtraction (Pro edition only)

Predeﬁned Fit Curves Equations

All predeﬁned Fit Curves are listed in this table. You also can specify custom ﬁt equation. Unlike

custom ﬁt equations these curves can be adjusted with mouse on Fit Plot.

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Name Formula

Parameters

Meaning

Additional

Properties

Line

a — linear

b — constant

Parabola

a —

quadratic

b — linear

c — constant

Vertex:

Spline

Natural cubic spline,

on each i-th piece:

xN — anchor

point x-

coordinates

yN — anchor

point y-

coordinates

Gaussian

a —

amplitude

dx — half

width at half

maximum

(HWHM)

x0 —

maximum

position

Area (integral):

Standard deviation:

Gaussian-A

(area-normalized)

a — area

(integral)

dx — half

width at half

maximum

(HWHM)

x0 —

maximum

position

Amplitude:

Standard deviation:

Lorentzian

a —

amplitude

dx — half

width at half

maximum

(HWHM)

x0 —

maximum

position

Area (integral):

Lorentzian-A

(area-normalized)

a — area

(integral)

dx — half

width at half

maximum

(HWHM)

x0 —

maximum

position

Amplitude:

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Name Formula

Parameters

Meaning

Additional

Properties

Gauss Derivative

Parameters

are the same

as for

original

Gaussian:

a —

amplitude

dx — half

width at half

maximum

(HWHM)

x0 — center

position

Area of original

Gaussian

(second integral):

Standard deviation:

Peak-to-peak

horizontal:

Peak-to-peak

vertical:

Lorentz

Derivative

Parameters

are the same

as for

original

Lorentzian:

a —

amplitude

dx — half

width at half

maximum

(HWHM)

x0 — center

position

Area of original

Lorentzian

(second integral):

Peak-to-peak

horizontal:

Peak-to-peak

vertical:

See Also

Nonlinear Curve Fitting: Fit Plot

Using Spline for Baseline Subtraction (Pro edition only)

Guessing Peaks (Pro edition only)

Export Curves as Table

Fit Curves and Fit Sum are treated as function equations in MagicPlot Fit Plots. But in some cases (e.

g. to export and plot ﬁt data with other application) you may want to create (x, y) table with Fit

Curves y-values. For this purpose use Tools → Export Curves as Table menu item when Fit

Plot is active. This dialog is also available for Figures.

You can either add new Table to a Folder in current Project or export table to a text ﬁle.

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Data Processing

Setting Column Formula

There are two ways to set formula for column evaluation:

1. Select column and write formula in formula string.

2. Use Table → Set Column Formula menu item to open column formula dialog window. See

formula syntax for details.

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Row Index

Variable i contains the current row index. Rows are enumerated from 1.

Rows Evaluation Order

Rows are always evaluated one after another from the ﬁrst to the last in the speciﬁed range.

Accordingly the row number i is incremented after each step.

Example

You can use this behavior to calculate factorial: set 1 in the ﬁrst row of column A and after

that set formula cell(A, i-1) * i and rows interval from 2 to 100. Note that formula is to

be set for rows beginning from the second, and not from the ﬁrst. You will get the factorial of

row number (i).

Using Table Data

There are two functions to obtain current table cell values in formula:

col(A) – returns the value of cell in column A in the current (i-th) row. Equivalent to cell(A,

i).

cell(A, 3) – returns the value in column A and row 3.

You can use either upper-case letters (A…Z, e.g. col(B)) or numbers (1, 2, 3,.., e.g. col(1)) in

columns numeration in arguments of col and cell functions.

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Example

col(A) + 15 + cell(B, i+1)

Auto Recalculation on Data Change

MagicPlot can automatically recalculate formula when data in used columns are changed. Set Auto

Recalculate checkbox to enable this feature.

Example

Set formula col(A)*2 for column B and set Auto Recalculate checkbox. Column B will be

recalculated if you change values in column A or column A is updated by other formula or

processing algorithm (e.g. integral, derivative of other column).

Formula Menu in Column Context Menu

You can edit column formula and change auto recalculation mode from column context menu or menu

Table. Select exactly one column and open context menu to view this menu items.

“Argument is out of range at row #” Warning

Some mathematical functions can be deﬁned only on a certain interval. For example, square root

(sqrt(x)) is not deﬁned for negative numbers (all calculations in MagicPlot are made in real

numbers, not complex). Hence if the argument of sqrt is negative, a Not-a-Number (NaN) is

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returned. If a NaN value occurs in some part of formula, the result of calculation will also be a NaN,

and corresponding table cells will be empty.

The calculations are not terminated if NaN value occurs in some row(s).

In some cases you may want to check if a NaN values occurs in calculations. MagicPlot shows the

warning “Argument is out of range at row #”. This row number is the ﬁrst row in which NaN value

was returned. MagicPlot also highlights the function or operator which ﬁrst produces NaN value.

See Also

Formula syntax

Formula Syntax

Formula editor is used in the following cases:

Setting Column Formula

Custom Fit Curve

Entering value in any numeric ﬁeld and in tables

MagicPlot Calculator

MagicPlot uses standard IEEE 754 double precision ﬂoating-point arithmetic. Double precision

ﬂoating point takes 8 bytes per number and provides a relative precision of about 16 decimal digits

and magnitude range from about 10

-308

to about 10

+308

Syntax Highlighting

MagicPlot formula editor highlights expression syntax. It also marks matching brackets:

General Rules

Case Sensitivity

MagicPlot formula translator is generally case sensitive, i.e. you can write sin but not Sin.

Note that x and X are diﬀerent variables. You can use this feature when naming Custom Equation

Fit Curve parameters.

Entering Numbers

You can use dot (.) or comma (,) as decimal separator, and separate function arguments

with a semicolon (;) in the following cases:

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Cell editing in Tables

Entering value in any numeric ﬁeld

Using MagicPlot Calculator

You can use dot (.) only as decimal separator, and separate function arguments with a

comma (,) or a semicolon (;), in:

Setting Column Formula

Custom Fit Curve

You can use e or E for scientiﬁc notation: 1.45e-3 or 1.45E-3.

Using Spaces and Line Breaks

You can freely insert space characters and line breaks in formula, but do not break function names,

numbers, operators. You do not need to enter special characters to indicate line break.

Functions

You can see a list of all available functions and their descriptions in Functions tab in Set Column

Formula window and in Help on Functions window which can be opened from menu in calculator

window.

MagicPlot uses functions of Java programming language library StrictMath to evaluate sin, cos,

exp, etc. These functions are available from the well-known network library netlib as a “Freely

Distributable Math Library”, fdlibm package. The same library is widely used in many scientiﬁc

computing applications.

Trigonometric Functions

MagicPlot supports all standard trigonometric functions (sin, cos, etc.). All angles are always

measured in radians for clarity.

You can use the following functions to convert angles units:

deg(a) — converts angles input in radians to an equivalent measure in degrees.

rad(a) — converts angles input in degrees to an equivalent measure in radians.

Examples

sin(rad(90))

deg(asin(1))

Constants

The predeﬁned constants are:

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pi, Pi, PI — π = 3.1416… value (the ratio of circumference of a circle to its diameter).

e — e = 2.7183… value (the base of the natural logarithms). Note: expression e^a is evaluated

as exp(a).

nan, NaN, NAN — Not-a-Number value.

inf, Inf, infinity, Infinity — positive inﬁnity value which may be used in some

calculations. Note: write -inf for negative inﬁnity.

eps — machine epsilon, gives an upper bound of the relative error due to rounding in ﬂoating

point arithmetic. Note: eps = ulp(1) = 2^(-52) = 2,2204E-16. (52 is the number of bits

used to store fractional part of a number.)

Boolean Logic

MagicPlot can interpret boolean logic expressions. Zero and negative values (<=0) are interpreted as

false and positive values (>0) are interpreted as true similarly to C programming language. You

can use simple logical operators which are described below. Use 1 as true and as false.

'if' Function

The basic logical function is if(condition, a, b). If condition argument is true (greater than

0) it returns the second argument (a), else returns the third argument (b).

Examples

if(col(A) >= 0, col(A), -col(A)) — evaluates absolute value of column A (you can

use abs(col(A)) for that, of course).

if(col(B) >= 0, col(B), NaN) — returns only positive values from column B. Negative

values are replaced with NaN value (empty cell). You can use this expression to ﬁlter negative

values if you do not want to use them in future calculations. Note that “Not-a-Number returned

at row #” warning can be shown for such expression.

if(col(A) > 0 & col(B) > 0, max(col(A), col(B)), NaN)

a * if(x >= 0, x, -x) – custom ﬁt function example for abs.

Equality Checking

You have to be careful if you need to check equality of two values. Due to inaccuracy of computer

ﬂoating-point calculations the result of evaluation is always approximate. For example, result of

sqrt(3)^2 is number 2.9999999999999996, not exactly 3. The expression sqrt(3)^2 == 3 is

false (it returns ). Keep in mind that for convenience MagicPlot rounds numbers when showing on

the screen, so this value will be shown as 3 in table if the number of shown fractional digits in

MagicPlot preferences is not big enough.

Generally, if you want to check equality of two values you need to use some equality threshold for

relative diﬀerence. That is, you should compare the modulus of relative diﬀerence of two values a and

b with threshold t: if(abs((a-b)/a) < t, …, …).

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Examples

sqrt(3)^2 - 3 results something about -4,4409E-16

if(abs(sqrt(3)^2 - 3) / 3 < 1e-10, …, …) — checks equality of sqrt(3)^2 and 3

with a threshold of 1e-10.

Operators

Operator Description Operator Description

+ addition == equal to

- subtraction != not equal to

* multiplication < less than

/ division > greater than

^ power <= less than or equal to

| or >= greater than or equal to

& and

Operations Priority

Operators with lower precedence value are evaluated earlier. You can use brackets to change

calculation sequence.

Expression is evaluated left-to-right, excluding repeated exponentiation operator ^. The ^ operator is

right-associative like in Fortran language (evaluated right-to-left; note that in general case

a^(b^c) ≠ (a^b)^c). Hence a^b^c is evaluated as a^(b^c).

The reason for exponentiation being right-associative is that a repeated left-associative

exponentiation operation would be less useful. Multiple appearances could (and would) be rewritten

with multiplication: (a^b)^c = a^(b*c).

Operations Precedence Associativity

foo() (function call) 1 —

^ 2 Right-to-left

- (unary minus) 3 —

*, / 4 Left-to-right

+, - 5 Left-to-right

<, >, <=, >= 6 Left-to-right

==, != 7 Left-to-right

& 8 Left-to-right

| 9 Left-to-right

= (assignment) 10 Left-to-right

Examples

1 + 2 * 3 returns 7.

(1 + 2) * 3 returns 9.

2*-3 returns -6.

-3^2 is equal to -(3^2), because ^ priority is higher than that of unary minus. The result is -9.

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(-3)^2 returns 9.

2^2^3 is equal to 2^(2^3), because ^ is right-associative operator. The result is 256.

Table Sorting

To sort Table select Table → Sort Table menu item. You can sort the entire table or only selected

area (columns and rows selection). You can also use Sort by This Column item in Table context

menu (exactly one column must be selected).

Sorting Criteria

You may specify multiple sorting criteria columns. If the value in the ﬁrst criteria column are the same

MagicPlot will compare the values from the second criteria column if speciﬁed.

Data Processing and Auto Recalculation (Pro edition only)

Processing of Selected Data

MagicPlot Pro supports the following processing methods available in Processing menu:

Smoothing

Integration

Diﬀerentiation

Fast Fourier Transform (forward and inverse)

Convolution

Deconvolution

Correlation

Histogram calculation

To process data ﬁrst select desired table columns or curves then select appropriate item in

Processing menu. Processing parameters dialog will be opened.

All processing algorithms except histogram require X and Y values to be set. Therefore select X

column along with Y column(s) if you are processing data from table.

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Processing of Multiple Selected Data

Diﬀerent processing tools need diﬀerent number of input columns or curves. You can process multiple

selected columns of curves if one column or curve is enough for used processing method. Smoothing

for example has one curve input so you can select smooth multiple curves at time. Otherwise Fourier

transform need two (real and imaginary) curves so you cannot process multiple data with one click.

Auto Recalculation on Input Data Change

MagicPlot can automatically recalculate formula when data in used columns are changed. Set Auto

Recalculate checkbox to enable this feature.

Editing Processing Parameters

You can edit processing parameters after processing using context menu of processing result (column

or curve). You can also change processing parameters of multiple selected curves which were

processed in the same way:

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See Also

Setting Column Formula

Smoothing (Pro edition only)

Open Table or Figure or Fit Plot with initial data and select Processing → Smooth menu item. The

opened processing dialog shows parameters, initial curves (semi-transparent) and smoothed preview.

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Parameters

Periodic checkbox applies on calculation of ﬁrst and last p/2 points. When it is set MagicPlot will

take missing values from the opposite end (as if the signal is periodic) to calculate ﬁrst and last p/2

points.

Algorithms

Two algorithms are available: Central Moving Average and Savitzky-Golay method.

Central Moving Average

Each value A

is replaced with p-points average:

If Periodic checkbox is not set the ﬁrst and last p/2 points are calculated with the same

symmetrical formula but with less summands.

Savitzky-Golay Filter

A Savitzky–Golay ﬁlter essentially performs a local polynomial regression on a series of equally

spaced data points. Each data point value is replaced with local polynomial value at this point.

If Periodic checkbox is not set, MagicPlot will repeat the values of the ﬁrst and last points to

calculate a polynomial for the ﬁrst and last p/2 points.

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See Also

Data Processing and Auto Recalculation (Pro edition only)

Integration (Pro edition only)

Open Table or Figure or Fit Plot with initial data and select Processing → Integrate menu item.

Baseline Correction

If your initial data to be integrated contains a baseline (usually constant or linear), you may want to

subtract it from data before integrating. (A constant baseline will result in linearly growing integral.)

In such case the algorithm may be the following:

Create Fit Plot with your initial table data1.

Add a Fit Curve which simulates the baseline. You may specify a custom equation (Pro edition2.

only)

Specify Fit Interval so that it contains only noise points3.

Fit the data by clicking Fit Sum button4.

Subtract the baseline ﬁtting curve from data by checking Baseline checkbox in curves list5.

Use menu Processing → Integrate to integrate the plotted data without baseline.6.

Algorithm

To perform integration you should specify two columns: x and y. Missing values are ignored.

MagicPlot uses trapezoidal rule to compute the integral:

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See Also

Data Processing and Auto Recalculation (Pro edition only)

Diﬀerentiation (Pro edition only)

Open Table or Figure or Plot with initial data and use Processing → Differentiate menu item.

Algorithm

To perform diﬀerentiation you should specify two columns: x and y. Missing values are ignored.

MagicPlot uses central diﬀerence formula to compute the derivative:

First and last points (i=1 and i=N) are computed as follows:

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See Also

Data Processing and Auto Recalculation (Pro edition only)

Integration (Pro edition only)

Fast Fourier Transform (FFT) (Pro edition only)

Open Table or Figure or Plot with initial data and use Processing → Fast Fourier Transform

menu item to perform FFT.

Fast Fourier transform algorithm computes discrete Fourier transform exactly and is used to

considerably speed up the calculations.

Note that FFT is not an approximate method of calculation.

Parameters

Sampling

Interval

Sampling interval of original data Δt is used to compute the data in resulting

sampling column. MagicPlot calculates sampling interval as a diﬀerence between

second and ﬁrst values in Sampling column. You can set sampling interval

manually in Sampling Interval ﬁeld.

Note that using of discrete Fourier transform implies that the samples in your

original data are equally spaced in time/frequency, i.e. the sampling interval is

constant. If the sampling interval is varying or real and/or imaginary data contains

empty cells in the middle, the result of discrete Fourier transform will be incorrect.

Real,

Imaginary

Columns with real and imaginary components of data.

If your data is purely real, select <none> imaginary item

Forward /

Inverse

Transform direction (here Inverse also equals to Backward)

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1/N in forward

transform

Divide forward transform result by number of points N (see formulas table). If your

original data is real, you may want to additionally multiply the result by 2 to get

the true amplitudes of real signal. Also referred as Normalize in some other

applications.

Center zero

frequency

If selected, after forward Fourier transform the two parts of spectrum will be

rearranged so that the lower frequency components are in the center; the

opposite rearrangement of spectrum will be done before inverse transform if any.

Also referred as Shift FFT in some other applications.

Algorithm

MagicPlot uses the algorithm of FFT that does not necessarily require the number of points N to be an

integer power of 2, though in such a case evaluation is faster. MagicPlot uses jﬀtpack library (a Java

version of ﬀtpack).

Discrete Fourier Transform Formulas

By default MagicPlot uses 'electrical engineering' convention to set the sign of the exponential phase

factor of FFT: forward transform is computed using factor -1. Most scientiﬁc applications use factor

-1 in forward transform as MagicPlot does by default. But note that the sign of exponential phase

factor in Numerical Receipts in C, 2nd edition, p. 503 and in MATLAB package in forward transform is

+1.

Factor −1 (Default)

1/N in forward

transform

Forward Transform

(Signal→Spectrum)

Inverse Transform

(Spectrum→Signal)

Checked

(Default)

Unchecked

Factor +1 (Scientiﬁc)

1/N in forward

transform

Forward Transform

(Signal→Spectrum)

Inverse Transform

(Spectrum→Signal)

Checked

(Default)

Unchecked

Here c

are complex signal components and C

are complex spectrum components, n = 1…N. The

only diﬀerence is in the sign of exponential phase factor and 1/N multiplier.

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Note: if you expect to get the original data when doing an inverse FFT of forward FFT, set the 1/N in

Forward Transform, Center Zero Frequency and Factor options the same for forward and

inverse transforms.

Amplitude and Phase Columns Formulas

Because of using atan2 function the phase is unwrapped and is in range (−π, π]. The result of

atan2(y, x) is similar to calculating the arc tangent of y/x, except that the signs of both

arguments are used to determine the quadrant of the result.

Sampling Column Formulas

Sampling column contains frequency samples if forward transform is performed and time samples in

case of inverse transform.

Center zero

frequency

Formula Sampling Column Values

Unchecked

Checked

Here Δt is given sampling interval of initial data (time for FFT and frequency for IFFT), n = 1…N.

Missing Values in the Original Data

Fourier transform implies that the original samples are uniformly distributed in time (for forward

transform) or frequency (for inverse transform).

Missing values in the middle or in beginning of original data columns are treated as zeros, the

result of Fourier transform may be incorrect.

Missing values in the end of the column are ignored.

See Also

Data Processing and Auto Recalculation (Pro edition only)

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Convolution and Deconvolution (Pro edition only)

Open Table or Figure or Fit Plot with initial data, select desired curves or columns and click

Processing → Convolution or Deconvolution menu item.

Parameters

Linear/Circular radio buttons specify the signal to be treated as periodic or not.

Algorithm

MagicPlot computes convolution and deconvolution using FFT (see Convolution_theorem).

See Also

Data Processing and Auto Recalculation (Pro edition only)

Correlation (Pro edition only)

Open Table or Figure or Fit Plot with initial data, select desired curves or columns and click

Processing → Correlation menu item.

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Parameters

Linear/Circular radio buttons specify the signal to be treated as periodic or not.

Algorithm

MagicPlot computes correlation using FFT (see Cross-correlation theorem).

See Also

Data Processing and Auto Recalculation (Pro edition only)

Histogram Calculation (Pro edition only)

Open Table or Figure or Fit Plot with initial data and select Processing → Histogram menu item to

calculate histogram.

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Parameters

You can either set the bin size/count manually or specify auto binning criteria.

Bin Bounds

MagicPlot align the the lower limit of the ﬁrst bin exactly at the beginning of speciﬁed histogram

range (From ﬁeld). The upper limit of the last bin is calculated on the basis of the speciﬁed bin size

and may be greater than the speciﬁed right histogram limit (to ﬁeld) as shown on the screenshot

above. Enter round value in the From ﬁeld if you want the lower limit of the ﬁrst bin to be round.

Auto Binning Criteria

You can enter custom criteria in Auto Binning combo box:

Typing k=... means setting the number of bins k

Typing h=... means setting the bin size h.

You can use these parameters in the expression:

n — the number of data points

s — data standard deviation

m — data mean

min — data minimum

max — data maximum.

The default alternatives are:

— Default criteria in Excel, Origin and some other software

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— Scott's formula

— Sturges' formula

MISE optimisation — Shimazaki method. MagicPlot ﬁnds the minimum of Mean Integrated

Squared Error (MISE) for the number of bins from 2 to min(n/2, 20n

1/2

) where n is the

number of data points. See this paper and site for details: Shimazaki and Shinomoto, Neural

Comput 19 1503-1527, 2007, http://2000.jukuin.keio.ac.jp/shimazaki/res/histogram.html.

'Keep on Recalculation' Option

This option is used when the histogram is recalculated. Recalculation may be cause by input data

change (if Auto Recalculate checkbox is selected) or invoked manually (Recalculate menu item

in histogram table column context menu).

See Also

Data Processing and Auto Recalculation (Pro edition only)

Descriptive Statistics (Pro edition only)

Select Tools → Statistics menu item to open the statistics dialog. Statistics dialog shows

statistics on currently selected table columns or curves on plot. The statistics is updated every time

you activate diﬀerent windows or change the selection in active window. Select multiple instances in

one window (columns or curves) to view multiple statistics data.

Showed Statistical Properties

By default some statistical properties are not shown. Click Show button to select which properties you

want to calculate.

Statistical Functions in Column Formulas

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You can also calculate statistics on table columns using column statistics functions when entering

column formula. See Functions tab in Set Column Formula dialog for column statistics functions

description. These functions are also available in MagicPlot Student edition.

Computational Formulas

Central moments are calculated as follows (see table). All sums are calculated using compensated

summation. Central moments are calculated on second pass after Mean calculation.

Property Formula

n The number of non-empty cells

Mean

Central moments

MagicPlot uses the following formulas to calculate statistics:

Property Formula

Mean (expected value)

Variance

Standard deviation

Skewness

Kurtosis

Y Sum

Calculating Integrals and Statistics (Pro edition only) on

Intervals using Fit Plot

Setting of intervals in Fit interval tab of Fit Plot was initially intended for specifying the range of

data which are used for ﬁtting by sum of ﬁt curves. However, this tab can also be used to calculate

integrals and statistics on these intervals (Statistics is only available in Pro edition). Data-Baseline is

used to calculate the results.

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Peak Moments

MagicPlot can integrate data on selected intervals and calculate peak moments (x mean, variance,

skewness, kurtosis). Spectrum line is treated as probability distribution curve: x values are treated as

'independent variable' and y values are treated as 'probability'. Standard statistical formulas are used

to calculate moments (see below).

Statistical data and integrals are automatically updated if x or y data are changed or intervals are

changed.

All statistical data are summarized in the intervals table:

Managing Intervals

Move interval borders with mouse. Double click on interval to split it at desired position. Right click

opens context menu from which new intervals can be created on free space and existing intervals can

be deleted or split.

Relative Integrals Calculation

MagicPlot can calculate relative integrals to compare the relative intensity of spectrum lines. To

compute relative integrals set Relative integrals checkbox. MagicPlot designate the smallest

integral as 1, but you can enter a custom value. If you want to set not the smallest integral as a

reference point, enter 1 ﬁrst and then enter the value of desired integral relative to 1 into this ﬁeld, so

that other integrals will be calculated relative to this new value.

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Computational Formulas

Central moments are calculated as follows (see table). All sums are calculated using compensated

summation. Central moments are calculated on second pass after Mean calculation.

Property Formula

n The number of non-NaN (x,y) points

Y Sum (normalization)

X Mean (ﬁrst moment)

2, 3, 4

Central moments

MagicPlot uses the following formulas to calculate intervals statistics:

Property Formula

Integral

Calculated using

Trapezoidal rule

X Mean (expected value)

Variance

Standard deviation

Skewness

Kurtosis

See Also

Nonlinear Curve Fitting: Fit Plot

Using Spline for Baseline Subtraction (Pro edition only)

Descriptive Statistics (Pro edition only)

Batch Processing

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Batch Processing (Pro edition only)

MagicPlot Batch Processing allows to automatically process multiple similar data in the same way

without programming (scripting) and recording of macro. One only have to ordinarily process the ﬁrst

data set manually and then use it as a template for processing of the rest data sets. Batch Processing

includes the processing of data itself and semiautomatic ﬁtting of the series of similar data.

Video Tutorial

Here is short video tutorial about batch processing: http://www.youtube.com/watch?v=L7RRraY6Dkc

Introduction

Batch Processing idea is based on creating a copy of project components (Tables, Figures, Fit Plots)

with formula links between them, pasting new data into the copy of source Table and recalculation of

depending data using formulas.

The Table which contains the imported data from the ﬁrst manually processed data set is called

Template Table.

For each ﬁle MagicPlot will:

Create copies of Template Table and selected related components,1.

Paste new data to the leftmost columns of the copy of Template Table,2.

Recalculate all depending data in copies.3.

Fitting of series dialog will be opened after batch processing. This tool allows you to ﬁt multiple data

with the same model.

Capabilities

Batch Processing tool supports all MagicPlot data processing and visualization techniques:

Calculating Table column with speciﬁed formula,

Fourier transform,

Integration/diﬀerentiation,

Histogram calculation,

Creating of Figures and Fit Plots,

Nonlinear curve ﬁtting.

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These features are not supported by Batch Processing tool:

Changing the sequence of columns with imported source data (inserting columns left, deleting

and moving these columns),

Table sorting.

Batch Processing Steps

It is supposed that you have a number of text (ASCII) ﬁles with similarly formatted source data to be

processed.

The overall processing steps are:

Import the ﬁrst text ﬁle from series (Project → Import Text Table… menu item) and1.

process it. You can add new columns with formulas, calculate some derivative data (histograms,

FFT, etc.), create Figures and Fit Plots with one simple restriction:

Do not change the sequence of leftmost columns with imported source data: do not

insert columns left, delete and move these columns.

Table sorting is also not supported in Batch Processing.

Create Fit Plot(s) and ﬁt the ﬁrst data in series if you want to ﬁt series of data.

Run Batch Processing by selecting Project → Import with Batch Processing… menu2.

item. In the opened ﬁle dialog select all rest ﬁles in the series except the ﬁrst ﬁle which has

been already processed. Use Shift and Ctrl to select multiple ﬁles.

In 3 tabs of Batch Processing dialog:3.

Import Options: Check the ﬁle format settings.1.

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Processing Template: Specify the Table with data from the ﬁrst ﬁle (already2.

processed) as Template Table. The program will automatically show the derivative

components with related data. You can also deselect some components to prevent

cloning.

Files Order & Values: Set up the ﬁle names parsing to get some values to include3.

into summary table. Select the ﬁles sorting. Note that the already processed ﬁle will

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always be the ﬁrst.

Click Batch Processing button to start processing. MagicPlot will create a copies of Template4.

Table and all derivative components and paste new data in the leftmost columns.

The Fitting Series dialog will be opened if some Fit Plots were processed.5.

Fitting Series

Fitting Series dialog will be opened after batch processing ﬁnishes if some Fit Plots were created

during the processing.

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Summary Table

Summary Table will be created after ﬁnishing ﬁtting series. This table contains the values of all ﬁt

parameters and standard errors for all processed data sets. You can use this data to create a Figure

or Fit Plot or export it.

By default the values in Summary Table will be updated if the values of ﬁt parameters on Fit Plots

changes.

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Reopening Fitting Series Dialog

You can open Fit Series dialog using Fit Series Summary → Open Fitting Series

Dialog… in summary table.

Visual Data Navigation

Scale Scrolling for Data Navigation

MagicPlot provides useful plot data navigation (scale scrolling and zooming). Here are several tools

and methods:

Mouse wheel rotation inside the current Axes box scrolls x/y or zooms x/y scale. Ctrl and Shift

keys toggle the mode

Scale box zoom tool

Hand tool (only if the image zoom is 1x, otherwise the while image will be scrolled in window)

Right mouse button dragging always works as Hand tool (except Mac OS X)

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The scrollbars (only if the image zoom is 1x, otherwise the while image will be scrolled in

window)

Scale buttons on the toolbar.

Do not Confuse Scale Scrolling and Image Zoom

Scale scrolling aﬀects the x/y scale minimum and maximum values. Use scale scrolling for

data navigation

Image zoom enlarges the entire image (Pro edition only). Use image zoom for accurate

drawing of small objects.

Current Axes

If your Figure contains more than one Axes box, MagicPlot indicates which Axes are currently selected

with blue circle sectors in the corners of Axes box. The current Axes selection aﬀects the action of

scale buttons and Add to Selected Axes item in Table context menu. It also helps you to

distinguish the Axes when you change style in the Figure Properties dialog window.

See Also

Drawing on Figures and Fit Plots, Image Zoom and Objects Selection

Reading Plot Data, Measuring Distances, Curves Selection

MagicPlot shows mouse cursor data coordinates in status line. If you have several axes on one Figure,

cursor coordinates relative to selected axes are shown.

Crosshair Cursor

MagicPlot can draw crosshair cursor. To turn it on use View → Crosshair Cursor menu item.

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Reading Plot Data

MagicPlot denotes the data point under the mouse cursor with square brackets. The accurate table

value in this point along with table name, row and column numbers is shown in status line in the

bottom of main window in the following format:

Folder | Table [x column; y column][row] = (x value; y value)

Curve Context Menu

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Use context menu of the Curve to open table with data or to open properties dialog.

Measuring Data Distances with Scale Zoom Tool

You can use Scale Zoom tool to measure the distances on plots. MagicPlot shows the distance in

status line when you select zoom box by mouse dragging. You can press Esc or reduce box size to

zero before releasing mouse button to prevent zooming if you want only to see the distance. If

multiple axes are located under cursor MagicPlot will show the distance in terms of current axes

(showed with blue corners).

Selecting Curves in Turn Using Keyboard

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Curves on Figures and Fit Plots can be selected with mouse click. You can also select Curves in turn

using Arrow keys or Tab/Shift+Tab keys:

→ or ↓ or Tab selects the next Curve

← or ↑ or Shift+Tab selects the previous Curve.

If no Curves are selected the ﬁrst pressing on these keys will select the ﬁrst Curve. If the Figure

contains multiple Axes, the Curves in all Axes are accessible in turn by this method.

See Also

Scale Scrolling for Data Navigation

Quick Plot Tool

Quick Plot tool is used for viewing a plot of Table columns without adding new Figures to Project.

Select Tools → Quick Plot item to open this tool.

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When Quick Plot window is open select some columns in Table to view the plot.

Creating and Editing Figures

Creating a Figure

To create a Figure select desired columns (one for X and one or more for Y) in Table and select

Create Figure item in context menu. You also can use Create Figure button on the main

toolbar.

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A new Figure will be created and data selection dialog will be opened. Check the columns for plotting

in the right list and specify which column must be treated as X. The rest columns will be used as Y

values. So you can add multiple curves with diﬀerent Y and the same X column.

Adding and Arranging Axes Boxes on a Figure

Adding and Arranging Curves on Figure Axes

Specifying Axis Multiplier, Preﬁx and Suﬃx

Shifting Curves on Figure and Creating 2D Waterfall

Using Figure Templates

Color Map Plots (Pro edition only)

To create a Color Map Plot, open the Table with matrix data, open a context menu and select Create

Figure → Color Map item or use Create Figure button on the Toolbar. Color Map Plots are

available in Pro edition only.

Selection in the table is ignored, the whole table is used for plotting matrix.

MagicPlot Student edition cannot create Color Map Plots but these plots can be edited in the Student

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edition if you open a project ﬁle which was created in the Pro edition.

The Color Map Plot can be conﬁgured in the Properties dialog which can be opened by double click on

the Color Map or using the context menu.

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Specifying X/Y Data for Color Map Plot

X and Y data for plotting can be speciﬁed in the 'Data' tab of the Properties dialog. MagicPlot supports

3 alternatives for X and Y values for the plotting matrix:

Manual range1.

Values from ﬁrst row or column2.

Column from another table3.

The non-uniform (not equally spaced) data in the X/Y columns is supported. The values can also be

unsorted.

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Color Map Plots and other Curves

In MagicPlot the Color Map Plot is treated as a generalized 'Curve', so it can be combined on a one

Figure with other Curves in the one Axes box. The Color Map Plot is shown in 'Components' list in

Figure properties dialog. The drawing sequence can be changed in this list.

The axes grid (if it is switched on) is drawn on top of the last (upper) Color Map Plot in the Axes box.

You can select, copy and paste Color Map Plots between Figures and Axes boxes as any other Curves.

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Customizing Color Map Plot

The most often used properties of a Color Map Plot can be changed on the Inspector toolbar (the

second row of main window toolbar). The full settings list is available in the Properties dialog which

can be opened by double click on the Color Map or from context menu.

The Color Map style and the legend color bar style can be edited in the Color Map Properties dialog:

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Customizing Color Map Palette

The Color Map palette can be customized by pressing the 'Customize' button on the 'Style' tab of the

Color Map properties dialog.

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Color Map Palette Presets

MagicPlot contains several build-in palette presets. After editing a palette you can also save your own

preset by pressing the 'Save Preset' button. The selected preset can be renamed or deleted using

'Menu' button.

Custom presets are saved in ﬁles with the .mppc extension. You can open the folder which contains

custom preset ﬁles using the 'Menu' button. Use the 'Reload Presets List' menu item after adding new

ﬁles in the presets folder.

Get More Palette Presets

More palette presets can be found on this page: Additional Color Map Palettes

Creating Palette from Color List

You can import a palette from other applications or text ﬁles using the 'Menu' button. MagicPlot

supports RGB values and hexadecimal color codes.

The current palette setting will be overridden (this operation can be undone).

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Pasting RGB(A) Values

You can paste red, green, blue values or red, green, blue, alpha values in the opened

dialog box. The values must be separated by comma, semicolon, tab or space, one color per line. The

both 0…1 and 0.255 values are automatically supported.

The comma as a decimal separator is supported only if values are separated by tabs or semicolons.

Otherwise the dot only must be used as a decimal separator.

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Pasting Hexadecimal Color Codes

Paste hexadecimal color codes in the opened window. The values can be with or without the '#'

preﬁx. The values must be separated by the new line, comma, semicolon, tab or space characters.

Technical notes

Exporting of Vector Image

MagicPlot renders the Color Map Plot as a high-resolution raster image which is included into the

vector image ﬁle (EPS, PDF, SVG, EMF). Therefore the ﬁle size does not depend on the data matrix

dimensions. The resolution of the Color Map image is set by the DPI value in the 'Canvas' tab of the

Figure properties dialog.

The Postscript (EPS) and EMF image format does not support the transparency in the color maps.

Color Interpolation

In the 'Smooth' and 'Manual Levels' color interpolation modes MagicPlot interpolates colors linearly in

the sRGB color space.

Bicubic Image Interpolation

MagicPlot supports 3 color map spatial interpolation modes: oﬀ (nearest neighbor), bilinear and

bicubic.

MagicPlot performs the bicubic interpolation using the cubic Hermite spline. For uniform (equally

spaced) x or y values this method is equal to the conventional bicubic interpolation algorithm (which

is widely used for the image resizing) with the coeﬃcient a=-0.5.

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See Also

Additional Color Map Palettes

Adding and Arranging Axes Boxes on a Figure

You can add a new Axes box to a Figure using the Add menu either in the Figure window or in the

Figure properties dialog.

The Add & Arrange Axes as Table menu item can also be used for arranging of the existing

Axes boxes as a table.

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'Add and Arrange Axes as Table' Dialog

This dialog opens by selecting Add & Arrange Axes as Table menu item. It may be used for

adding new Axes boxes and for arranging the existing Axes boxes without adding a new one.

Moving and Resizing of an Axes Box

Axes box can be moved and resized as any other drawn object on the Figure canvas

Click on the Axes box border to select it. The green markers identifying your selection appear.1.

Drag Axes box border to move the Axes box on Canvas.2.

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Draw border marker to resize Axes Box.3.

The Using of Dimensions Toolbar toolbar can also be used to set exact Axes box size and position.

Open the Dimensions toolbar and select an Axes box to edit the values.

See Also

Creating a Figure

Adding and Arranging Curves on Figure Axes

Specifying Axis Multiplier, Preﬁx and Suﬃx

Shifting Curves on Figure and Creating 2D Waterfall

Using Figure Templates

Drawing on Figures and Fit Plots, Image Zoom and Objects Selection

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Adding and Arranging Curves on Figure Axes

The best way to create a Figure with desired data is to select x and y data columns in Table and use

Create Figure in Table context menu.

There are diﬀerent ways to add data to existing Figure:

Select x and y columns in table with data, open table context menu (right click) and select Add

to Selected Axes sub-menu. All currently opened Figures are listed in this sub-menu.

Open Figure Properties window and go to Axes Properties → Components tab. Here

you can select the Table in the project tree and press Add to Axes button.

Copy and paste Curve from Fit Plot or another Figure to your Figure.

You also can add Fit Curves or Fit Sum from Fit Plot to Figure.

Changing Curves Drawing Order

To change Curves drawing order and legend entries order open Figure Properties dialog and go

to Axes Properties → Components tab. Drag rows in table to reorder. You can also use Up and

Down buttons or press Alt + up/down keys (Option + up/down keys on Mac) to move selected row in

table up or down.

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See Also

Creating a Figure

Adding and Arranging Axes Boxes on a Figure

Specifying Axis Multiplier, Preﬁx and Suﬃx

Shifting Curves on Figure and Creating 2D Waterfall

Using Figure Templates

Shifting Curves on Figure and Creating 2D Waterfall

MagicPlot allows you to set individual x and y shifts for every Curve on Figure. This feature may be

used to compare several similar Curves on one Figure.

Speciﬁed Curve shifts do not aﬀect your data and are used only for drawing current Figure.

Curve shifts can be set in X Shift and Y Shift columns in Axes Components table (scroll table

right if these columns are not visible). Waterfall menu contains items for making and resetting 2D

waterfall and reversing curves order.

Reset Shifts sets all x and y shifts to zero

Make Waterfall automatically calculates shifts and arranges Curves

Make Waterfall menu item opens waterfall window in which you can specify shift increment.

MagicPlot tries to guess handsome shift values on the basis of number of curves and current scale.

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See Also

Creating a Figure

Adding and Arranging Axes Boxes on a Figure

Adding and Arranging Curves on Figure Axes

Specifying Axis Multiplier, Preﬁx and Suﬃx

Using Figure Templates

Figure Templates is a powerful tool for reusing axes layout of previously created Figures. To use

Figure Templates, open Figure Properties window and select Templates tab.

Templates are stored in a special folder in your operating system account proﬁle. Project ﬁles do not

contain templates; changes in Projects do not aﬀect Templates.

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Saving Template from Figure

To create a template from Figure open the Figure Properties window, select Templates tab and press

'Save Template' button. Then enter the new template name in opened dialog window.

MagicPlot always saves all available information in the template (not regarding on checkboxes state).

Applying Template to a Figure

To apply template to ﬁgure open the Figure Properties window and select Templates tab. Select

desired template in the saved templates list. Then check or uncheck boxes with features to apply and

click on 'Apply Template' button.

When you apply a template to Figure, the properties are copied from template to Figure. Note that

the Figure style will not be changed if you change the template after you have applied it to Figure.

The project ﬁle is standalone and you do not need the template to open project.

You can undo applying template in a standard manner (no need to close the Figure Properties

window).

See Also

Creating a Figure

Adding and Arranging Axes Boxes on a Figure

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Adding and Arranging Curves on Figure Axes

Specifying Axis Multiplier, Preﬁx and Suﬃx

Shifting Curves on Figure and Creating 2D Waterfall

Drawing and Editing

Axes Style Editing

Axes style can be set in Figure Properties window (or Fit Plot Properties for Fit Plot). This

window contains multiple tabs with axes drawing settings.

Drawing on Figures and Fit Plots, Image Zoom and Objects

Selection

You can draw the following kinds of objects on Figures and Fit Plots (Pro edition only):

Text labels with formatting support

Lines

Arrows

Rectangles

Ellipses

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Inserting images

Select an appropriate instrument in the toolbar to draw an object.

The properties of selected objects can be changed in the inspector toolbar (the second row of

toolbar).

Image Zooming (Pro edition only)

If you need to precisely draw some small objects you can zoom in the image using slider in right

bottom (Pro only).

There are several alternative ways to change the image zoom:

Scroll the mouse wheel at the image zoom slider

Ctrl+scroll (Cmd+scroll on Mac) mouse wheel at blank part of plot (outside all axes boxes)

The button 1x and Alt+click (Option+click on Mac) on plot ﬁts the image to the window.

Do not Confuse Scale Scrolling and Image Zoom

Scale scrolling aﬀects the x/y scale minimum and maximum values. Use scale scrolling for

data navigation

Image zoom enlarges the entire image (Pro edition only). Use image zoom for accurate

drawing of small objects.

Objects selection

Every object can be selected by clicking on its border or inside it. Hold Ctrl key (Windows, Linux) or

Shift key (Mac OS) and click another object to add it to current selection.

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Moving an Object Forward or Backward

When objects overlap, you can change the order of objects drawing. Use Bring to Front and Send

to Back items in object context menu (right click on object to open menu).

Changing Curves Order on Figure

You can change the order of drawing the curves on Figure. The curves order can be set in Figure

Properties window, Axes Properties tab → Components tab. Select desired curves in list, then

hold Alt and press up/down arrow keys. You may also use Move Up and Move Down items in

Waterfall button menu.

Snapping to Other Objects

When you drag an object or change its size, MagicPlot will try to snap the bounds of this object to

other objects. While snapping MagicPlot shows you a red ruler and an object to which the bounds are

snapping. If you do not want to align your objects this way, hold Ctrl key to disable snapping.

See Also

Scale Scrolling for Data Navigation

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Reading Plot Data, Measuring Distances, Curves Selection

Colours and Opacity Adjustment

In MagicPlot you can set the opacity of each object (curve, text label, rectangle, etc.) to make it semi-

transparent. Opacity is treated as a property of object color. You can set opacity in Opacity sub-

menu in color pop-up menu which opens by clicking on color button. Opacity percentage is shown on

colour button.

See Also

Creating Transparent Figures and Fit Plots

To create an image with transparent background open Figure Properties or Fit Plot

Properties dialog window and set Transparent Background radio button in Canvas tab.

The background of transparent Figures and Fit Plots is shown with a grey-and-white chequerboard. If

you are preparing a picture for a dark background you can change the colour of chequerboard to dark

grey by selecting View → Transparency Checkerboard in main menu.

In case of transparent background you can set the preview background colour in Image Preview

window.

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See Also

Colours and Opacity Adjustment

Using of Dimensions Toolbar

This toolbar is intended for precise setting of the position and size of one or more selected drawn

objects on Figure or Fit Plot.

You can open Drawing Dimensions toolbar by selecting Tools → Drawing Dimensions in main

menu. Dimensions toolbar may be left opened.

Drawing Dimensions toolbar shows the coordinates and size of currently selected object(s). You can

also specify the coordinates or size of several components.

The x value is measured from the left edge of the canvas.

The y value is measured from the top edge of the canvas.

For rectangle or ellipse the speciﬁed coordinates determine the position of the upper-left

corner.

For text label:

x determines the left edge, center or right edge of text according to text alignment of

label.

y determines the baseline position of the ﬁrst line.

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For line or arrow the speciﬁed coordinates determine the position of the beginning.

Switching Curves Antialiasing on the Screen

Antialiasing oﬀ Antialiasing on

You can toggle curves antialiasing (smoothing) by selecting View → Curves Antialiasing in

main menu.

Please note that antialiasing may slow down the drawing if you have many data points (~100K).

Text Labels Editing

Inserting Special Symbols and Greek Letters

MagicPlot supports any Unicode symbols, including Greek letters and many special symbols.

The help on inserting Greek letters and special symbols is also available in Help menu.

Typing Greek letters with Keyboard Shortcuts

To insert Greek letter type Ctrl+G (Command G on Mac OS) and then type Latin letter mentioned in

the table below.

Greek Letter Name Greek Symbol

On Keyboard

(Ctrl+G, then)

Alpha Α α A a

Beta Β β B b

Gamma Γ γ G g

Delta Δ δ D d

Epsilon Ε ε E e

Zeta Ζ ζ Z z

Eta Η η H h

Theta Θ θ Q q

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Greek Letter Name Greek Symbol

On Keyboard

(Ctrl+G, then)

Theta (alt.) ϑ J

Iota Ι ι I i

Kappa Κ κ K k

Lambda Λ λ L l

Mu Μ μ M m

Nu Ν ν N n

Xi Ξ ξ X x

Omicron Ο ο O o

Pi Π π P p

Rho Ρ ρ R r

Sigma Σ σ S s

Tau Τ τ T t

Upsilon Υ υ U u

Phi Φ φ F f

Phi (alt.) ϕ j

Chi Χ χ C c

Psi Ψ ψ Y y

Omega Ω ω W w

Inserting Math Symbols with Keyboard Shortcuts

To insert math symbol type Ctrl+M (Command M on Mac OS) and then type symbol mentioned in the

table below.

Symbol name Symbol

On Keyboard

(Ctrl+M, then)

Multiplication sign × * or x

Middle dot (multiplication) · . (dot)

Division slash ∕ /

Minus sign − -

Plus-minus sign ± +

Minus-plus sign ∓ =

Not equal ≠ n

Inﬁnity ∞ 8

To see the full list of shortcuts select Help → Insert Greek Letters and Math menu item.

Inserting Special Characters by Character Sequences

To insert the following special characters, simply type character sequences, as shown in the table

below. Character sequences will be replaced with special characters when you exit the edit mode (but

only if selected font contains required symbols).

You can disable auto replacing in Typography tab of MagicPlot Preferences.

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Symbol name Symbol Char sequence

Em dash — ---

En dash – --

Ellipsis … ...

Much less than ≪ <<

Much greater than ≫ >>

Less than or equal to ≤ <=

Greater than or equal to ≥ >=

Plus-minus sign ± +/-

Minus-plus sign ∓ -/+

Unicode Code Point Finding out

MagicPlot shows in status bar the Unicode code point of character highlighted in text label. To

view code point select exactly one character in text label in Figure of Fit Plot.

See Also

Advanced Typography Features

MagicPlot provides accurate typography in text labels and axes labels. You may toggle some features

in 'Typography' tab of MagicPlot Preferences.

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Ligatures Support

MagicPlot supports Latin ligatures in text labels. If you type 'ﬁ', 'ﬂ', etc., those symbols will be

shown with ligature glyphs when you exit edit mode.

Edit mode

Result

MagicPlot supports at least the following ligatures:

fi, fl

ff, ffi, ffl

Not all fonts contain ligature glyphs. MagicPlot displays ligatures only if the glyphs are included in

used font. You can turn the ligatures oﬀ in MagicPlot preferences.

Mathematical Symbols in Axes Labels

The numbers in scientiﬁc notation need two special characters if you want the typography to be

accurate: minus sign and multiplication sign. Many graphing software applications which use

simpliﬁed typography use letter 'x' and hyphen-minus (-) in numbers instead of typographically

correct special characters. This simpliﬁed typography was mainly used in old applications which do

not support Unicode.

MagicPlot can use either correct symbols (default) or simpliﬁed. You can change this option in

MagicPlot Preferences.

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Minus Sign

Various minus-like characters are used in diﬀerent cases and have diﬀerent height and length. The

height and length of minus sign are equal to those of plus sign and correspond to the size of digits in

the font. Here is a comparison of these characters:

When you edit some text, keyboard minus key enters hyphen-minus character. The correct minus

character can be typed in text label by pressing Ctrl+M, -, see Inserting Special Symbols for

details.

Multiplication Sign

In diﬀerent languages, multiplication signs diﬀer. In most cases you have to use either '·' or '×' sign.

You also can specify any special character or character sequence, for example enter spaces before

and after multiplication signs.

Multiplication sign

Correct minus sign

Middle dot

Correct minus sign

Simpliﬁed typography:

Latin letter 'x'

hyphen-minus instead of minus

See Also

Inserting Special Symbols and Greek Letters

Image Exporting and Copying

Image Export

To export Figure or Fit Plot image click on Project → Export Image menu item or use

corresponding toolbar button. You can set various options of ﬁle export format by clicking on Format

Options button in Export Image dialog window.

You can also copy image to clipboard.

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Raster Image Formats

The following lossless raster graphics formats are supported:

PNG — the most suitable format for Fit Plots and Figures

GIF — supports only 256 colours and no transparency, out-of-date format

BMP — uncompressed raster format (large ﬁle size)

Setting the resolution of exported raster image

Image resolution for raster export can be set individually for every Figure and Fit Plot in Canvas tab

of the Properties window. The default resolution is 300 DPI.

Why is MagicPlot not capable to export images in JPEG format?

JPEG is a commonly used format of lossy compression for photographic images. The JPEG

compression algorithm is at its best on photographs and paintings of realistic scenes with smooth

variations of tone and color. However, JPEG is not suited for line drawings and other textual or iconic

graphics, where sharp contrasts between adjacent pixels cause noticeable artefacts. Such images are

better saved in a lossless raster graphics format such as BMP, GIF, PNG or vector graphics formats.

PNG and JPEG Comparison

PNG JPEG

Vector Image Formats (Pro edition only)

The following vector graphics formats are supported:

PDF

EPS

SVG — most suitable for web publications

EMF — the most suitable format for inserting in Windows applications like Microsoft Oﬃce

Export in vector graphics formats by virtual printer

You also can use third-party virtual printer software to save an image in vector graphics format (use

Project → Print menu item).

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Image Format Restrictions

BMP:

Transparent background is not supported.

GIF:

Transparent background is supported but semi-transparency is not. Only 256 colours.

EMF and vector copy on Windows:

No semi-transparent colors (but transparent background is supported).

Image may be opened without antialiasing in some applications.

Text tracking changing is not supported

EPS:

Transparency is available only in Acrobat Distiller. Set Allow Pdfmark Transparency

checkbox in EPS format options, add /AllowTransparency true into Acrobat Distiller's

.joboptions ﬁle.

Transparent images inserted on plots will have solid color background.

Raster image copying:

Transparent background is not supported.

See Also

Copying Images to Clipboard (Pro edition only)

Preview Image

Use Project → Image Preview menu item to open image preview window. You can also use the

Preview button of the toolbar or Ctrl+Shift+P keyboard shortcut (Cmd+Shift+P on Mac).

Preview Features

In preview mode you can:

Preview in gray scale

Transparent images can be previewed on selected background color

Change the zoom of the image

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Preview Zoom Options

There are several options for the size of preview:

Percent of real size. Note: The size will be actually real only if the dots per inch (DPI) is

correctly set in your operating system

Fit to Window, Fit Width, Fit Height — ﬁts the size of previewed image to window

dimensions

Pixel-to-Pixel — allows you to see the accurate image that you will get using export in

raster image format. The resolution of exported raster image is evaluated as a product of

canvas size and DPI value speciﬁed in Canvas tab of Figure/Fit Plot Properties window.

Copying Images to Clipboard (Pro edition only)

When you edit a presentation or report, it is very useful to paste images from MagicPlot to another

application directly through clipboard without saving them.

MagicPlot supports copying images to clipboard in both raster and vector formats from Edit menu.

Transferring vector images is always preferable because these images are scaled more precisely.

However, we have found that some applications do not support pasting vector images, or paste

vector images with distorted text. In this case, please use copying raster image.

See Also

Image Export

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Tools

MagicPlot Calculator

MagicPlot Calculator is a useful formula calculator built in MagicPlot. To open calculator use Tools →

Calculator menu item.

Calculator window stays on top when MagicPlot main window is minimized to task bar (Dock on Mac),

so you can use the Calculator when working with other applications.

Using the Calculator

Type (12+4)*sin(pi/2) and press Enter to get the result

Type a=5 to set variable a to 5

Use Up/Down keys to recall previously entered expressions

Use ans (Ans) variable or press Ctrl+Up to insert the result of latest operation

Standard functions and variables (sin, cos, pi, e, etc.) are supported

MagicPlot Calculator uses the same formula syntax as other formula ﬁelds in MagicPlot application.

Calculator supports comma (,) as decimal separator (1.2 = 1,2), so use semicolon (;) as function

arguments separator: min(1;2). MagicPlot Calculator supports user-deﬁned variables.

Standalone Calculator Application

MagicPlot Calculator can also be used as a free standalone cross-platform application. You can

download it here

See Also

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Formula Syntax

Download MagicPlot Calculator as a standalone application

Appendices

Portable Installation on USB drive

You can copy MagicPlot executable ﬁle to your portable USB drive and launch it on some other

computer directly from this USB drive, without installation. To do this, you have to copy MagicPlot

preferences ﬁle to the folder on USB drive which contains MagicPlot executable ﬁle. Here are step-by-

step instructions:

Create new folder on USB drive for MagicPlot1.

Copy MagicPlot executable ﬁle to this folder2.

Run MagicPlot3.

Exit MagicPlot. It will automatically store preferences ﬁle magicplot.ini in MagicPlot folder in4.

your operating system proﬁle (see below)

Copy magicplot.ini from MagicPlot folder in your operating system proﬁle to the folder on5.

USB drive which contains MagicPlot executable.

Where does MagicPlot save preferences in my operating system proﬁle?

Windows XP: C:\Documents and Settings\<Your account>\Application

Data\MagicPlot\

Windows Vista, 7, 8: C:\Users\<Your account>\AppData\Roaming\MagicPlot\

Mac OS X: <home>/Library/Application Support/MagicPlot

Unix-like systems: <home>/.magicplot.

MagicPlot Editions Comparison

The table below shows the comparison of MagicPlot Student and MagicPlot Pro editions.

MagicPlot

Student

MagicPlot

Pro

Price

Free of charge,

Non-commercial

usage only

$198

Get free trial

General

Multiple operating systems support (Windows, Mac OS X, Unix-

like)

+ +

No installation procedure, portable installation is available + +

Multiple undo and redo for all actions + +

Import tables from text ﬁles (.csv, .txt), import dialog with preview + +

Built-in formula calculator tool + +

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MagicPlot

Student

MagicPlot

Pro

Entering expressions in every numeric text ﬁeld + +

Setting column calculation formulas with syntax highlighting and

formula history

+ +

Optional auto recalculation of column when data in use are

changed

— +

Batch Processing without scripting and macros — +

Nonlinear Curve Fitting

Using advantages of multi-core processors + +

Multi-peak ﬁtting + +

Fitting with sum of diﬀerent functions + +

Predeﬁned Gauss and Lorentz functions and their derivatives + +

Visual peaks adjusting (ﬁt initial conditions) + +

Visual ﬁtting interval setting + +

Y data errors usage + +

Easy subtraction of baseline and peak ﬁtting functions from

experimental data

+ +

Copying and pasting Fit Curves from one Fit Plot to another + +

Automatic peaks ﬁnding — +

Splines for baseline subtraction with ﬁtting capability — +

Specifying custom ﬁt equations — +

Data Processing

Numerical integration of peaks in spectrum on speciﬁed intervals + +

Smoothing, Integration, Diﬀerentiation, FFT, [De-]Convolution,

Correlation, Histograms

— +

Descriptive Statistics — +

Numerical spectrum moments (mean, variance, etc.) calculation

on selected intervals

— +

Table Sorting by multiple columns, table transposing — +

Plotting Features

Plotting capabilities: lines, markers, drop lines, vertical bars, ﬁlling

under curve

+ +

Error bars + +

Color Map Plots (2D Plots) — +

Switching curves antialiasing on screen + +

Fully customizable style for each axis (ticks, labels, grid, etc.) + +

Custom grid lines and labels at speciﬁed positions + +

Transparent images and translucent colors of every object + +

In-place text labels editing with formatting support + +

2D waterfall plots and setting individual shifts for curves + +

Drawing: text labels, lines, arrows, rectangles, ellipses + +

Image zooming in for precise drawing — +

Multiple axes on one ﬁgure, aligning axes — +

Saving and applying Figure templates — +

Data Navigation and Exploration

Mouse cursor data coordinates in status bar + +

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MagicPlot

Student

MagicPlot

Pro

Showing data point and table row numbers for point under cursor + +

X and Y scrollbars for data navigation + +

Box zoom tool for scale + +

Hand drag tool for scale + +

Mouse wheel or touchpad scale scrolling and zooming + +

Quick Plot tool for viewing plot without adding new Figures to

Project

— +

Figures Typography

Correct minus and multiplication signs (instead of hyphen and

letter x) in exponential notation

+ +

English ligatures support (ﬁ, etc.) + +

Tracking + +

Inserting special symbols (Greek letters, math symbols, dashes,

etc.)

+ +

Image Export

Raster images export formats: PNG, GIF, BMP + +

Vector images export formats: EPS, PDF, SVG, EMF — +

Copying of raster images to clipboard — +

Copying of vector images to clipboard — +

Usage and Support

Commercial usage — +

E-mail support (write to support(at)magicplot.com) — +

MagicPlot Student can also be used to view project ﬁles created in full-featured MagicPlot Pro

edition. In such case some project elements (e.g. Custom ﬁt curve formulas) will not be editable.

Keyboard Shortcuts

MagicPlot keyboard shortcuts are almost the same in diﬀerent operating systems (Windows, Mac OS,

UNIX-like). The main diﬀerence is in modiﬁer keys used: Ctrl on PC (Windows, UNIX-like) and

Command on Mac. Some shortcuts were altered to avoid coincidences with system ones.

You can ﬁnd these keyboard shortcuts in MagicPlot by selecting Help → Keyboard Shortcuts

menu item.

Mac Keyboard Symbols

⌘ Command (Meta) key

⇧ Shift key

⌥ Option (Alt) key

⌃ Control key

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Common Shortcuts

Windows and UNIX-like Key Mac OS Key Action

Ctrl+O ⌘ O Open project

Ctrl+S ⌘ S Save project

Ctrl+Shift+S ⌘ ⇧ S Save project as

Ctrl+N ⌘ N New project

Ctrl+I ⌘ I Import table from text ﬁle

Ctrl+P ⌘ P Print (image or table)

Ctrl+Shift+P ⌘ ⇧ P Preview image

Ctrl+E ⌘ E Export image

Ctrl+K ⌘ K Open calculator

Ctrl+U ⌘ U MagicPlot preferences

Ctrl+Q ⌘ Q Quit

Undo/Redo

Ctrl+Z ⌘ Z Undo

Ctrl+Shift+Z or Ctrl+Y ⌘ ⇧ Z or ⌘ Y Redo

Ctrl+H ⌘ H Show command history window

Clipboard

Ctrl+X ⌘ X Cut

Ctrl+C ⌘ C Copy

Ctrl+V ⌘ V Paste

Ctrl+A ⌘ A Select all

Table Shortcuts

Windows and UNIX-like Key Mac OS Key Action

F2 or Double click Double click Edit cell

Ctrl+F2 ⌘ F2 Set or edit column formula

F4 F4 Rename column (edit header)

Ctrl+Enter ⌘ Return Recalculate column

Alt+Drag header

(Win/Meta+Drag header on UNIX)

⌥ Drag header Rearrange table columns

Figure and Fit Plot Shortcuts

Windows and UNIX-like Key Mac OS Key Action

Alt+Enter ⌥ Return Open Figure or Fit Plot properties window

Arrows keys Arrows keys Move selected object(s) by 1 mm

Shift+Arrows keys ⇧ Arrows keys Move selected object(s) by 0.1 mm

Escape Escape Clear selection

Delete or Backspace Delete or Backspace Delete selected objects

F2 or Double click F2 or Double click Edit selected text label

Moving and Resizing Drawings

Ctrl+Drag object ⌘ Drag object

Disable rulers and snapping to other

objects

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Windows and UNIX-like Key Mac OS Key Action

Shift+Drag corners ⇧ Drag corners

For rectangle and ellipse: preserve aspect

ratio

For line and arrow: disable snapping to 0°,

45°, 90°…

Alt+Drag corners ⌥ Drag corners

For rectangle and ellipse: stretch relative

to center

Text Labels Editing

Ctrl+Enter or Shift+Enter ⌘ Return or ⇧ Return Apply changes

Escape Escape Apply changes

Enter Return New line

Ctrl+G, then letter ⌘ G, then letter Type Greek letter (letters correspondence)

Ctrl+M, then symbol ⌘ M, then symbol Type special math symbol (symbol list)

Ctrl+B ⌘ B Bold

Ctrl+I ⌘ I Italic

Ctrl+O ⌘ O Oblique

Ctrl+U ⌘ U Underlined

Ctrl+L ⌘ L Align left

Ctrl+E ⌘ E Center

Ctrl+R ⌘ R Align right

Ctrl+J ⌘ J Justify

Ctrl+– ⌘ – Subscript

Ctrl++ ⌘ + Superscript

Scale Range Scrolling and Zoom

Scrolling

Scrolling Vertical (Y) scale scrolling

Shift+Scrolling

⇧ Scrolling or Horizontal

scrolling

Horizontal (X) scale scrolling

Ctrl+Scrolling ⌘ Scrolling Vertical (Y) scale zooming

Ctrl+Shift+Scrolling

⌘ ⇧ Scrolling or ⌘

Horizontal scrolling

Horizontal (X) scale zooming

Left mouse button+Scrolling ⌃ Scrolling Proportional (X and Y) scale zooming

Image Zoom

Ctrl++ ⌘ + Zoom in

Ctrl+– or Alt+Click ⌘ – or ⌥ Click Zoom out

Ctrl+* or Ctrl+0 ⌘ * or ⌘ 0 Full view

Corrected in MagicPlot 2.7: weights w

are not normalized anymore. In MagicPlot 2.5.1 and earlier

the sum of weights was normalized to 1. This changing only aﬀects the resulting Chi square value in

the ﬁt report if Y error column(s) are set.

If you use Opera browser with Opera Turbo option the images will appear recompressed in JPEG

format and this comparison is void.

These shortcuts are activated in text label edit mode

Scrolling here means mouse wheel rotation or touchpad vertical scrolling or scrolling by other

human interface device.

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From:

http://magicplot.com/wiki/ - MagicPlot Manual

Permanent link:

http://magicplot.com/wiki/manual

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