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296 GNU Octaveplayaudio (name, ext)playaudio (x)Plays the audio file ‘name.ext’ or the audio data stored in the vector x.Function FileFunction Filerecord (sec, sampling rate)Function FileRecords sec seconds of audio input into the vector x. The default value for samplingrate is 8000 samples per second, or 8kHz. The program waits until the usertypes 〈RET〉 and then immediately starts to record.setaudio ([w type [, value]])Execute the shell command ‘mixer [w type [, value]]’Function File
Chapter 33: Quaternions 29733 QuaternionsQuaternions are hypercomplex numbers used to represent spatial rotations in three dimensions.This set of routines provides a useful basis for working with quaternions inOctave. A tutorial is in the Octave source, scripts/quaternion/quaternion.ps.These functions were written by A. S. Hodel, Associate Professor, Auburn University.[a, b, c, d] = quaternion (w)[vv, theta] = quaternion (w)w = quaternion (a, b, c, d)w = quaternion (vv, theta)Construct or extract a quaternionw = a*i + b*j + c*k + dfrom given data.Function FileFunction FileFunction FileFunction Fileqconj (q)Conjugate of a quaternion.q = [w, x, y, z] = w*i + x*j + y*k + zqconj (q) = -w*i -x*j -y*k + zFunction Fileqderiv (omega)Derivative of a quaternion.Function FileLet Q be a quaternion to transform a vector from a fixed frame to a rotating frame.If the rotating frame is rotating about the [x, y, z] axes at angular rates [wx, wy, wz],then the derivative of Q is given byQ’ = qderivmat (omega) * QIf the passive convention is used (rotate the frame, not the vector), thenQ’ = -qderivmat (omega) * Qqderivmat (omega)Derivative of a quaternion.Function FileLet Q be a quaternion to transform a vector from a fixed frame to a rotating frame.If the rotating frame is rotating about the [x, y, z] axes at angular rates [wx, wy, wz],then the derivative of Q is given byQ’ = qderivmat (omega) * QIf the passive convention is used (rotate the frame, not the vector), thenQ’ = -qderivmat (omega) * Q.qinv (q)Return the inverse of a quaternion.q = [w, x, y, z] = w*i + x*j + y*k + zqmult (q, qinv (q)) = 1 = [0 0 0 1]Function File
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GNU OctaveA high-level interactive
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iTable of ContentsPreface . . . . .
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10 Expressions . . . . . . . . . .
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19 Arithmetic . . . . . . . . . . .
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Appendix A Tips and Standards . . .
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Preface 1PrefaceOctave was original
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Preface 3• Tony Richardson richar
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Chapter 1: A Brief Introduction to
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Chapter 2: Getting Started 132 Gett
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Chapter 2: Getting Started 15argvBu
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Chapter 2: Getting Started 17helpCo
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Chapter 2: Getting Started 19clc ()
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Chapter 2: Getting Started 21C-rC-s
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Chapter 2: Getting Started 23‘\h
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Chapter 2: Getting Started 25Anothe
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Chapter 2: Getting Started 27usage:
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Chapter 3: Data Types 293 Data Type
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Chapter 3: Data Types 31size (a, n)
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Chapter 4: Numeric Data Types 334 N
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Chapter 4: Numeric Data Types 35war
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Chapter 4: Numeric Data Types 37Emp
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Chapter 5: Strings 395 StringsA str
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Chapter 5: Strings 41string fill ch
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Chapter 5: Strings 435.3 String Con
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Chapter 5: Strings 45toupper (s)Bui
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Chapter 6: Data Structures 476 Data
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Chapter 6: Data Structures 49octave
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Chapter 7: Containers 517 Container
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Chapter 8: I/O Streams 538 I/O Stre
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Chapter 9: Variables 559 VariablesV
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Chapter 9: Variables 57persistent p
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Chapter 9: Variables 59exist (name,
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Chapter 9: Variables 61default_save
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Chapter 9: Variables 63warn_divide_
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Chapter 10: Expressions 6510 Expres
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Chapter 10: Expressions 67sqrt (arg
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Chapter 10: Expressions 69x - ySubt
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Chapter 10: Expressions 7110.5.1 El
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Chapter 10: Expressions 73z = 1Afte
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Chapter 10: Expressions 75++x--xThi
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Chapter 11: Evaluation 7711 Evaluat
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Chapter 12: Statements 7912 Stateme
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Chapter 12: Statements 81warn assig
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Chapter 12: Statements 83while (con
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Chapter 12: Statements 85for [ val,
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Chapter 12: Statements 87# print el
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Chapter 12: Statements 89For contin
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Chapter 13: Functions and Script Fi
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Chapter 14: Error Handling 10514 Er
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Chapter 15: Debugging 10715 Debuggi
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Chapter 16: Input and Output 10916
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Chapter 16: Input and Output 111for
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Chapter 16: Input and Output 113bit
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Chapter 16: Input and Output 115-ma
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Chapter 16: Input and Output 117The
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Chapter 16: Input and Output 119‘
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Chapter 16: Input and Output 121Thi
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Chapter 16: Input and Output 123‘
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Chapter 16: Input and Output 12516.
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Chapter 16: Input and Output 127max
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Chapter 16: Input and Output 129[nr
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Chapter 16: Input and Output 131Con
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Chapter 16: Input and Output 133SEE
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Chapter 17: Plotting 13517 Plotting
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Chapter 17: Plotting 137hold argsBu
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Chapter 17: Plotting 13917.2 Specia
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Chapter 17: Plotting 141‘#’ Set
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Chapter 17: Plotting 14317.5 Multip
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Chapter 17: Plotting 145The express
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Chapter 17: Plotting 147Note that N
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Chapter 18: Matrix Manipulation 149
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Chapter 19: Arithmetic 16319 Arithm
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Chapter 19: Arithmetic 165min (x, y
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Chapter 19: Arithmetic 16719.3 Trig
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Chapter 19: Arithmetic 16919.4 Sums
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Chapter 19: Arithmetic 171beta (a,
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Chapter 19: Arithmetic 173[x, y] =
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Chapter 20: Linear Algebra 17520 Li
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Chapter 20: Linear Algebra 177If a
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Chapter 20: Linear Algebra 179q =r
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Chapter 20: Linear Algebra 181size
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Chapter 20: Linear Algebra 183kron
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Chapter 21: Nonlinear Equations 185
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Chapter 22: Quadrature 18722 Quadra
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Chapter 23: Differential Equations
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Chapter 24: Optimization 19924 Opti
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Chapter 25: Statistics 20125 Statis
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Chapter 25: Statistics 203var (x)Fu
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Chapter 25: Statistics 205moment (x
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Chapter 25: Statistics 207[pval, ch
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Chapter 25: Statistics 209kolmogoro
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Chapter 25: Statistics 211[pval, t,
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Chapter 25: Statistics 213[pval, z]
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Chapter 25: Statistics 215binomial
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Chapter 25: Statistics 217exponenti
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Chapter 25: Statistics 219hypergeom
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Chapter 25: Statistics 221normal cd
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Chapter 25: Statistics 223t cdf (x,
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Chapter 26: Financial Functions 225
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Chapter 27: Sets 22727 SetsOctave h
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Chapter 28: Polynomial Manipulation
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Chapter 28: Polynomial Manipulation
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Chapter 29: Control Theory 23329 Co
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Chapter 29: Control Theory 23529.1.
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Chapter 29: Control Theory 237outli
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Chapter 29: Control Theory 239nnzst
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Chapter 29: Control Theory 241[zer,
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Chapter 29: Control Theory 243Examp
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Page 309 and 310: Chapter 34: System Utilities 29934
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Page 327 and 328: Appendix A: Tips and Standards 317A
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Page 333 and 334: Appendix B: Known Causes of Trouble
Page 339 and 340: Appendix C: Installing Octave 329Ap
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Page 343 and 344: Appendix C: Installing Octave 333gc
Page 345 and 346: Appendix D: Emacs Octave Support 33
Page 353 and 354: Appendix E: Grammar 343Appendix E G
Page 355 and 356: Appendix F: GNU GENERAL PUBLIC LICE
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Appendix F: GNU GENERAL PUBLIC LICE
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Appendix F: GNU GENERAL PUBLIC LICE
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Concept Index 351Concept Index#‘#
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Concept Index 353Iif statement . .
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Variable Index 355Variable IndexAan
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Function Index 357Function Index(([
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Function Index 359errorbar . . . .
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Function Index 361isnumeric . . . .
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Function Index 363qzval . . . . . .
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Function Index 365vertcat. . . . .
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Operator Index 367Operator Index!!.
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