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Sysquake User Manual 2 Sysquake User Manual ©1999-2012, Calerga Sàrl

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Sysquake User Manual 2 Sysquake User Manual ©1999-2012, Calerga Sàrl Sysquake User Manual 2 Sysquake User Manual ©1999-2012, Calerga Sàrl Copyright 1999-2013, Calerga Sàrl. No part of this publication may be reproduced, transmitted or stored in any form or by any means including electronic, mechanical, recording or oth- erwise, without the express written permission of Calerga Sàrl. The information provided in this manual is for reference and information use only, and Calerga assumes no responsibility or liability for any inaccu- racies or errors that may appear in this documentation. Improvements to Sysquake brought by minor releases are described in the electronic documen- tation; please read the file ReadMe for a summary. Sysquake, Calerga, the Calerga logo, and icons are copyrighted and are protected under the Swiss and international laws. Copying this software for any reason beyond archival purposes is a violation of copyright, and violators may be subject to civil and criminal penalties. Sysquake, LME, and Calerga are trademarks of Calerga Sàrl. All other trademarks are the property of their respective owners. Sysquake User Manual, November 2013. Yves Piguet, Calerga Sàrl, La Tour-de-Peilz, Switzerland. Most of the material in Sysquake User Manual has first been written as a set of XHTML files, with lots of cross-reference links. Since (X)HTML is not very well suited for printing, it has been converted to LATEX with the help of a home-made conversion utility. Additional XML tags have been used to benefit from LATEX features: e.g. raster images have been replaced with EPS images, equations have been converted from text to real mathematic notation, and a table of contents and an index have been added. The same method has been used to create the material for the help command. Thanks to the make utility, the whole process is completely automatic. This system has proved to be very flexible to maintain three useful formats in parallel: two for on-line help, and one for high-quality printing. World Wide Web: http://www.calerga.com E-mail: [email protected] Mail: Calerga Sàrl Ch. des Murs Blancs 25 1814 La Tour-de-Peilz Switzerland Typesetting: 2015-6-28 Contents 1 Introduction 7 1.1 Introduction . 7 1.2 How Sysquake can be used . 8 2 Registration 13 2.1 Where SQ_Reg.key is located . 13 2.2 Remark . 14 2.3 What’s in the Serial Number . 14 3 Getting Started with Sysquake 17 3.1 First steps . 17 3.2 Files . 18 3.3 Manipulation modes . 19 3.4 Menus . 21 3.5 Command-Line Interface . 32 3.6 Interruption Key . 32 3.7 Memory . 32 3.8 Extensions . 33 3.9 Preference Files . 33 3.10 Environment Variables . 34 4 SQ Files 35 4.1 PID_ct.sq . 35 4.2 PID_dt.sq . 38 4.3 RST_ct.sq . 40 4.4 RST_dt.sq . 47 4.5 LQR_ct.sq . 53 4.6 filter.sq . 55 4.7 id_par.sq . 58 4.8 id_npar.sq . 60 5 Introduction to LME 63 5.1 Simple operations . 65 5.2 Complex Numbers . 66 5.3 Vectors and Matrices . 68 4 Sysquake User Manual ©1999-2012, Calerga Sàrl 5.4 Polynomials . 71 5.5 Strings . 72 5.6 Variables . 73 5.7 Loops and Conditional Execution . 73 5.8 Functions . 74 5.9 Local and Global Variables . 76 6 SQ Script Tutorial 79 6.1 Displaying a Plot . 79 6.2 Adding Interactivity . 81 7 SQ Script Reference 83 8 SQ File Tutorial 87 8.1 Displaying a Plot . 88 8.2 Adding Interactivity . 93 8.3 Menu Entries . 95 8.4 More about graphic ID . 98 8.5 Saving Data . 101 9 SQ File Reference 103 9.1 SQ Files . 103 9.2 SQ Data Files and Input/Output Handlers . 126 9.3 Error Messages . 130 9.4 Advanced Features of SQ Files . 131 10LME Reference 143 10.1 Program format . 143 10.2 Function Call . 145 10.3 Named input arguments . 145 10.4 Command syntax . 146 10.5 Libraries . 146 10.6 Types . 147 10.7 Input and Output . 156 10.8 Error Messages . 157 10.9 Character Set . 162 10.10 Formatted text . 163 10.11 List of Commands, Functions, and Operators . 169 10.12 Variable Assignment and Subscripting . 180 10.13 Programming Constructs . 187 10.14 Debugging Commands . 203 10.15 Profiler . 210 10.16 Miscellaneous Functions . 213 10.17 Sandbox Function . 241 10.18 Help Function . 243 10.19 Operators . 246 10.20 Mathematical Functions . 276 Contents 5 10.21 Linear Algebra . 329 10.22 Array Functions . 371 10.23 Triangulation Functions . 409 10.24 Integer Functions . 415 10.25 Non-Linear Numerical Functions . 418 10.26 String Functions . 439 10.27 Quaternions . 458 10.28 List Functions . 467 10.29 Structure Functions . 472 10.30 Object Functions . 479 10.31 Logical Functions . 483 10.32 Dynamical System Functions . 494 10.33 Input/Output Functions . 502 10.34 File System Functions . 518 10.35 Path Manipulation Functions . 520 10.36 XML Functions . 522 10.37 Search Path Function . 526 10.38 Function . 526 10.39 Time Functions . 527 10.40 Threads . 529 10.41 Sysquake Graphics . 534 10.42 Remarks on graphics . 536 10.43 Base Graphical Functions . 541 10.44 3D Graphics . 574 10.45 Projection . 574 10.46 Surface shading . 575 10.47 Functions . 576 10.48 Graphics for Dynamical Systems . 588 10.49 Sysquake Graphical Functions . 623 10.50 Dialog Functions . 642 10.51 Sysquake Miscellaneous Functions . 647 11Libraries 653 11.1 stdlib . 654 11.2 stat . 668 11.3 polynom . 677 11.4 ratio . 687 11.5 bitfield . 689 11.6 filter . 695 11.7 lti . 705 11.8 lti (graphics) . 736 11.9 sigenc . 743 11.10 wav . 749 11.11 date . ..
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