Mercurial > hg > octave-terminal
changeset 6570:49f0820425a8
[project @ 2007-04-24 23:06:56 by jwe]
author | jwe |
---|---|
date | Tue, 24 Apr 2007 23:07:44 +0000 |
parents | 81a8ab62b2b9 |
children | 24d9e0799603 |
files | doc/ChangeLog doc/interpreter/func.txi doc/interpreter/octave.texi doc/interpreter/plot.txi doc/interpreter/sparse.txi doc/interpreter/strings.txi |
diffstat | 6 files changed, 62 insertions(+), 560 deletions(-) [+] |
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--- a/doc/ChangeLog +++ b/doc/ChangeLog @@ -1,3 +1,31 @@ +2007-04-24 John W. Eaton <jwe@octave.org> + + * Makefile (EXAMPLE_SOURCES): New variable. + (octave.info, octave.dvi, octave.pdf, HTML/index.html): + Depend on $(EXAMPLE_SOURCES). + (DISTFILES): Include $(EXAMPLE_SOURCES) in the list. + +2007-04-24 David Bateman <dbateman@free.fr> + + * interpreter/octave.texi: Include dynamic.texi as appendix and + update menus. + + * interpreter/plot.txi: Update menus. + + * interpreter/strings.txi: @result -> @result{}. + + * intrepreter/func.txi, intrepreter/sparse.txi: + Delete .oct file section and update menus. + + * interpreter/addtwomatrices.cc, interpreter/celldemo.cc, + interpreter/fortdemo.cc, interpreter/funcdemo.cc, + interpreter/globaldemo.cc, interpreter/helloworld.cc, + interpreter/stringdemo.cc, interpreter/structdemo.cc, + interpreter/unwinddemo.cc, interpreter/fortsub.f, + interpreter/dynamic.txi: New files. + + * Makefile.in (SUB_SOURCE): Include dynamic.txi in the list. + 2007-04-18 Søren Hauberg <hauberg@gmail.com> * interpreter/package.texi: New file.
--- a/doc/interpreter/func.txi +++ b/doc/interpreter/func.txi @@ -23,7 +23,6 @@ * Default Arguments:: * Function Files:: * Script Files:: -* Dynamically Linked Functions:: * Function Handles and Inline:: * Commands:: * Organization of Functions:: @@ -769,205 +768,6 @@ @DOCSTRING(source) -@node Dynamically Linked Functions -@section Dynamically Linked Functions -@cindex dynamic linking - -On some systems, Octave can dynamically load and execute functions -written in C++. Octave can only directly call functions written in C++, -but you can also load functions written in other languages -by calling them from a simple wrapper function written in C++. - -Here is an example of how to write a C++ function that Octave can load, -with commentary. The source for this function is included in the source -distributions of Octave, in the file @file{examples/oregonator.cc}. It -defines the same set of differential equations that are used in the -example problem of @ref{Ordinary Differential Equations}. By running -that example and this one, we can compare the execution times to see -what sort of increase in speed you can expect by using dynamically -linked functions. - -The function defined in @file{oregonator.cc} contains just 8 statements, -and is not much different than the code defined in the corresponding -M-file (also distributed with Octave in the file -@file{examples/oregonator.m}). - -Here is the complete text of @file{oregonator.cc}: - -@example -@group -#include <octave/oct.h> - -DEFUN_DLD (oregonator, args, , - "The `oregonator'.") -@{ - ColumnVector dx (3); - - ColumnVector x (args(0).vector_value ()); - - dx(0) = 77.27 * (x(1) - x(0)*x(1) + x(0) - - 8.375e-06*pow (x(0), 2)); - - dx(1) = (x(2) - x(0)*x(1) - x(1)) / 77.27; - - dx(2) = 0.161*(x(0) - x(2)); - - return octave_value (dx); -@} -@end group -@end example - -The first line of the file, - -@example -#include <octave/oct.h> -@end example - -@noindent -includes declarations for all of Octave's internal functions that you -will need. If you need other functions from the standard C++ or C -libraries, you can include the necessary headers here. - -The next two lines -@example -@group -DEFUN_DLD (oregonator, args, , - "The `oregonator'.") -@end group -@end example - -@noindent -declares the function. The macro @code{DEFUN_DLD} and the macros that -it depends on are defined in the files @file{defun-dld.h}, -@file{defun.h}, and @file{defun-int.h} (these files are included in the -header file @file{octave/oct.h}). - -Note that the third parameter to @code{DEFUN_DLD} (@code{nargout}) is -not used, so it is omitted from the list of arguments in order to -avoid the warning from gcc about an unused function parameter. - -The next line, - -@example -ColumnVector dx (3); -@end example - -@noindent -simply declares an object to store the right hand sides of the -differential equation, and the statement - -@example -ColumnVector x (args(0).vector_value ()); -@end example - -@noindent -extracts a vector from the first input argument. The -@code{vector_value} method is used so that the user of the function -can pass either a row or column vector. The @code{ColumnVector} -constructor is needed because the ODE class requires a column -vector. The variable @code{args} is passed to functions defined with -@code{DEFUN_DLD} as an @code{octave_value_list} object, which includes -methods for getting the length of the list and extracting individual -elements. - -In this example, we don't check for errors, but that is not difficult. -All of the Octave's built-in functions do some form of checking on their -arguments, so you can check the source code for those functions for -examples of various strategies for verifying that the correct number and -types of arguments have been supplied. - -The next statements - -@example -@group -dx(0) = 77.27 * (x(1) - x(0)*x(1) + x(0) - - 8.375e-06*pow (x(0), 2)); - -dx(1) = (x(2) - x(0)*x(1) - x(1)) / 77.27; - -dx(2) = 0.161*(x(0) - x(2)); -@end group -@end example - -@noindent -define the right-hand side of the differential equation. Finally, we -can return @code{dx}: - -@example -return octave_value (dx); -@end example - -@noindent -The actual return type is @code{octave_value_list}, but it is only -necessary to convert the return type to an @code{octave_value} because -there is a default constructor that can automatically create an object -of that type from an @code{octave_value} object, so we can just use that -instead. - -To use this file, your version of Octave must support dynamic linking. -To find out if it does, type the command -@kbd{octave_config_info ("dld")} at the Octave prompt. Support for -dynamic linking is included if this command returns 1. - -To compile the example file, type the command @samp{mkoctfile -oregonator.cc} at the shell prompt. The script @code{mkoctfile} should -have been installed along with Octave. Running it will create a file -called @file{oregonator.oct} that can be loaded by Octave. To test the -@file{oregonator.oct} file, start Octave and type the command - -@example -oregonator ([1, 2, 3], 0) -@end example - -@noindent -at the Octave prompt. Octave should respond by printing - -@example -@group -ans = - - 77.269353 - -0.012942 - -0.322000 -@end group -@end example - -You can now use the @file{oregonator.oct} file just as you would the -@code{oregonator.m} file to solve the set of differential equations. - -On a 133 MHz Pentium running Linux, Octave can solve the problem shown -in @ref{Ordinary Differential Equations}, in about 1.4 seconds using the -dynamically linked function, compared to about 19 seconds using the -M-file. Similar decreases in execution time can be expected for other -functions, particularly those that rely on functions like @code{lsode} -that require user-supplied functions. - -Just as for M-files, Octave will automatically reload a dynamically linked -function when the file that defines it is more recent than the last -time that the function was loaded. If more than one function is defined -in a single @file{.oct} file, reloading the file may force other -functions to be cleared and reloaded. If all the functions loaded from -a given @file{.oct} file are cleared, Octave will automatically unload -the @file{.oct} file. - -@c FIXME -- is there a better place for this? - -@DOCSTRING(variables_can_hide_functions) - -Additional examples for writing dynamically linked functions are -available in the files in the @file{src} directory of the Octave -distribution. - -There is currently no detailed description of all the functions that you -can call in a built-in function. For the time being, you will have to -read the source code for Octave. - -@DOCSTRING(mkoctfile) - -@DOCSTRING(mex) - -@DOCSTRING(mexext) - @node Function Handles and Inline @section Function Handles and Inline @cindex handle, function handles @@ -1000,7 +800,7 @@ @end example @noindent -Creates a function handle called @code{f} that refers to the the +Creates a function handle called @code{f} that refers to the function @code{sin}. Function handles are used to call other functions indirectly, or to pass @@ -1010,20 +810,20 @@ @example f = @@sin; quad (f, 0, pi) - @result 1.8391 + @result{} 1.8391 @end example You may use @code{feval} to call a function using function handle, or -simply write the name of the function handle follwed by an argument +simply write the name of the function handle followed by an argument list. If there are no arguments, you must use an empty argument list @samp{()}. For example @example f = @@sin; feval (f, pi/4) - @result 0.70711 + @result{} 0.70711 f (pi/4) - @result 0.70711 + @result{} 0.70711 @end example @DOCSTRING(functions) @@ -1032,7 +832,7 @@ @DOCSTRING(str2func) -@node Anonymous Functions:: +@node Anonymous Functions @subsection Anonymous Functions Anonymous functions are defined using the syntax @@ -1051,7 +851,7 @@ @example f = @@(x) x.^2; quad (f, 0, 10) - @result 333.33 + @result{} 333.33 @end example @noindent @@ -1060,7 +860,7 @@ @example quad (@@(x) sin (x), 0, pi) - @result 1.8391 + @result{} 1.8391 @end example @noindent @@ -1070,7 +870,7 @@ a = 1; b = 2; quad (@@(x) betainc (x, a, b), 0, 0.4) - @result 1.3867 + @result{} 1.3867 @end example @noindent
--- a/doc/interpreter/octave.texi +++ b/doc/interpreter/octave.texi @@ -153,14 +153,15 @@ * Polynomial Manipulations:: * Interpolation:: * Geometry:: -* Hashing:: +* Hashing Functions:: * Control Theory:: * Signal Processing:: * Image Processing:: * Audio Processing:: * Quaternions:: * System Utilities:: -* Packages:: +* Packages:: +* Dynamically Linked Functions:: * Test and Demo Functions:: * Tips:: * Trouble:: If you have trouble installing Octave. @@ -320,7 +321,6 @@ * Returning From a Function:: * Function Files:: * Script Files:: -* Dynamically Linked Functions:: * Organization of Functions:: Error Handling @@ -400,7 +400,6 @@ * Sparse Linear Algebra:: * Iterative Techniques:: * Real Life Example:: -* Oct-Files:: * Function Reference:: Quadrature @@ -426,6 +425,8 @@ * Models:: * Distributions:: +Hashing Functions + Control Theory * sysstruct:: @@ -486,6 +487,12 @@ * The INDEX file:: * PKG_ADD and PKG_DEL directives:: +Dynamically Linked Functions + +* Oct-Files:: +* Mex-Files:: +* Standalone Programs:: + Test and Demo Functions * Test Functions:: @@ -587,6 +594,7 @@ @c for them, and there appears to be no way to go back to the original @c set of indices once a redirection has taken place. +@include dynamic.texi @include testfun.texi @include tips.texi @include bugs.texi
--- a/doc/interpreter/plot.txi +++ b/doc/interpreter/plot.txi @@ -6,7 +6,7 @@ @chapter Plotting @menu -* Plotting:: +* Two-Dimensional Plotting:: * Specialized Two-Dimensional Plots:: * Three-Dimensional Plotting:: * Manipulating Existing Plots:: @@ -17,8 +17,8 @@ * Interaction with gnuplot:: @end menu -@node Plotting -@section Plotting +@node Two-Dimensional Plotting +@section Two-Dimensional Plotting The basic plotting commands are:
--- a/doc/interpreter/sparse.txi +++ b/doc/interpreter/sparse.txi @@ -17,7 +17,6 @@ * Sparse Linear Algebra:: Linear Algebra on Sparse Matrices * Iterative Techniques:: Iterative Techniques applied to Sparse Matrices * Real Life Example:: Real Life Example of the use of Sparse Matrices -* Oct-Files:: Using Sparse Matrices in Oct-files * Function Reference:: Documentation from the Specific Sparse Functions @end menu @@ -258,11 +257,11 @@ as much as possible to minimize the number of assignments and reduce the number of memory allocations. -The above problem can be avoided in oct-files. However, the -construction of a sparse matrix from an oct-file is more complex than -can be discussed in this brief introduction, and you are referred to -section @ref{Oct-Files}, to have a full description of the techniques -involved. +The above problem can be avoided in oct-files. However, the construction +of a sparse matrix from an oct-file is more complex than can be +discussed in this brief introduction, and you are referred to chapter +@ref{Dynamically Linked Functions}, to have a full description of the +techniques involved. @node Information, Operators and Functions, Creation, Basics @subsection Finding out Information about Sparse Matrices @@ -739,7 +738,7 @@ WRITE ME. -@node Real Life Example, Oct-Files, Iterative Techniques, Sparse Matrices +@node Real Life Example, Function Reference, Iterative Techniques, Sparse Matrices @section Real Life Example of the use of Sparse Matrices A common application for sparse matrices is in the solution of Finite @@ -1005,340 +1004,7 @@ @end ifset @end ifset -@node Oct-Files, Function Reference, Real Life Example, Sparse Matrices -@section Using Sparse Matrices in Oct-files - -An oct-file is a means of writing an Octave function in a compilable -language like C++, rather than as a script file. This results in a -significant acceleration in the code. It is not the purpose of this -section to discuss how to write an oct-file, or discuss what they -are. There are already two @footnote{Paul Thomas "Dal Segno al Coda -- The octave dynamically linked function cookbook", -@url{http://perso.wanadoo.fr/prthomas/intro.html}, and Cristophe Spiel -"Del Coda Al Fine - Pushing Octave's Limits", -@url{http://octave.sourceforge.net/coda/coda.pdf}} very good -references on oct-files themselves. Users who are not familiar with -oct-files are urged to read these references to fully understand this -chapter. The examples discussed here assume that the oct-file is written -entirely in C++. - -There are three classes of sparse objects that are of interest to the -user. - -@table @asis -@item SparseMatrix -A double precision sparse matrix class -@item SparseComplexMatrix -A complex sparse matrix class -@item SparseBoolMatrix -A boolean sparse matrix class -@end table - -All of these classes inherit from the @code{Sparse<T>} template class, -and so all have similar capabilities and usage. The @code{Sparse<T>} -class was based on Octave @code{Array<T>} class, and so users familiar -with Octave's Array classes will be comfortable with the use of -the sparse classes. - -The sparse classes will not be entirely described in this section, due -to their similar with the existing Array classes. However, there are a -few differences due the different nature of sparse objects, and these -will be described. Firstly, although it is fundamentally possible to -have N-dimensional sparse objects, the Octave sparse classes do -not allow them at this time. So all operations of the sparse classes -must be 2-dimensional. This means that in fact @code{SparseMatrix} is -similar to Octave's @code{Matrix} class rather than its -@code{NDArray} class. - -@menu -* OctDifferences:: The Differences between the Array and Sparse Classes -* OctCreation:: Creating Spare Matrices in Oct-Files -* OctUse:: Using Sparse Matrices in Oct-Files -@end menu - -@node OctDifferences, OctCreation, Oct-Files, Oct-Files -@subsection The Differences between the Array and Sparse Classes - -The number of elements in a sparse matrix is considered to be the number -of non-zero elements rather than the product of the dimensions. Therefore - -@example - SparseMatrix sm; - @dots{} - int nel = sm.nelem (); -@end example - -returns the number of non-zero elements. If the user really requires the -number of elements in the matrix, including the non-zero elements, they -should use @code{numel} rather than @code{nelem}. Note that for very -large matrices, where the product of the two dimensions is large that -the representation of the an unsigned int, then @code{numel} can overflow. -An example is @code{speye(1e6)} which will create a matrix with a million -rows and columns, but only a million non-zero elements. Therefore the -number of rows by the number of columns in this case is more than two -hundred times the maximum value that can be represented by an unsigned int. -The use of @code{numel} should therefore be avoided useless it is known -it won't overflow. - -Extreme care must be take with the elem method and the "()" operator, -which perform basically the same function. The reason is that if a -sparse object is non-const, then Octave will assume that a -request for a zero element in a sparse matrix is in fact a request -to create this element so it can be filled. Therefore a piece of -code like - -@example - SparseMatrix sm; - @dots{} - for (int j = 0; j < nc; j++) - for (int i = 0; i < nr; i++) - std::cerr << " (" << i << "," << j << "): " << sm(i,j) - << std::endl; -@end example - -is a great way of turning the sparse matrix into a dense one, and a -very slow way at that since it reallocates the sparse object at each -zero element in the matrix. - -An easy way of preventing the above from happening is to create a temporary -constant version of the sparse matrix. Note that only the container for -the sparse matrix will be copied, while the actual representation of the -data will be shared between the two versions of the sparse matrix. So this -is not a costly operation. For example, the above would become - -@example - SparseMatrix sm; - @dots{} - const SparseMatrix tmp (sm); - for (int j = 0; j < nc; j++) - for (int i = 0; i < nr; i++) - std::cerr << " (" << i << "," << j << "): " << tmp(i,j) - << std::endl; -@end example - -Finally, as the sparse types aren't just represented as a contiguous -block of memory, the @code{fortran_vec} method of the @code{Array<T>} -is not available. It is however replaced by three separate methods -@code{ridx}, @code{cidx} and @code{data}, that access the raw compressed -column format that the Octave sparse matrices are stored in. -Additionally, these methods can be used in a manner similar to @code{elem}, -to allow the matrix to be accessed or filled. However, in that case it is -up to the user to respect the sparse matrix compressed column format -discussed previous. - -@node OctCreation, OctUse, OctDifferences, Oct-Files -@subsection Creating Spare Matrices in Oct-Files - -The user has several alternatives in how to create a sparse matrix. -They can first create the data as three vectors representing the -row and column indexes and the data, and from those create the matrix. -Or alternatively, they can create a sparse matrix with the appropriate -amount of space and then fill in the values. Both techniques have their -advantages and disadvantages. - -An example of how to create a small sparse matrix with the first technique -might be seen the example - -@example - int nz = 4, nr = 3, nc = 4; - ColumnVector ridx (nz); - ColumnVector cidx (nz); - ColumnVector data (nz); - - ridx(0) = 0; ridx(1) = 0; ridx(2) = 1; ridx(3) = 2; - cidx(0) = 0; cidx(1) = 1; cidx(2) = 3; cidx(3) = 3; - data(0) = 1; data(1) = 2; data(2) = 3; data(3) = 4; - - SparseMatrix sm (data, ridx, cidx, nr, nc); -@end example - -which creates the matrix given in section @ref{Storage}. Note that -the compressed matrix format is not used at the time of the creation -of the matrix itself, however it is used internally. - -As previously mentioned, the values of the sparse matrix are stored -in increasing column-major ordering. Although the data passed by the -user does not need to respect this requirement, the pre-sorting the -data significantly speeds up the creation of the sparse matrix. - -The disadvantage of this technique of creating a sparse matrix is -that there is a brief time where two copies of the data exists. Therefore -for extremely memory constrained problems this might not be the right -technique to create the sparse matrix. - -The alternative is to first create the sparse matrix with the desired -number of non-zero elements and then later fill those elements in. The -easiest way to do this is - -@example - int nz = 4, nr = 3, nc = 4; - SparseMatrix sm (nr, nc, nz); - sm(0,0) = 1; sm(0,1) = 2; sm(1,3) = 3; sm(2,3) = 4; -@end example - -That creates the same matrix as previously. Again, although it is not -strictly necessary, it is significantly faster if the sparse matrix is -created in this manner that the elements are added in column-major -ordering. The reason for this is that if the elements are inserted -at the end of the current list of known elements then no element -in the matrix needs to be moved to allow the new element to be -inserted. Only the column indexes need to be updated. - -There are a few further points to note about this technique of creating -a sparse matrix. Firstly, it is not illegal to create a sparse matrix -with fewer elements than are actually inserted in the matrix. Therefore - -@example - int nz = 4, nr = 3, nc = 4; - SparseMatrix sm (nr, nc, 0); - sm(0,0) = 1; sm(0,1) = 2; sm(1,3) = 3; sm(2,3) = 4; -@end example - -is perfectly legal. However it is a very bad idea. The reason is that -as each new element is added to the sparse matrix the space allocated -to it is increased by reallocating the memory. This is an expensive -operation, that will significantly slow this means of creating a sparse -matrix. Furthermore, it is not illegal to create a sparse matrix with -too much storage, so having @var{nz} above equaling 6 is also legal. -The disadvantage is that the matrix occupies more memory than strictly -needed. - -It is not always easy to known the number of non-zero elements prior -to filling a matrix. For this reason the additional storage for the -sparse matrix can be removed after its creation with the -@dfn{maybe_compress} function. Furthermore, the maybe_compress can -deallocate the unused storage, but it can equally remove zero elements -from the matrix. The removal of zero elements from the matrix is -controlled by setting the argument of the @dfn{maybe_compress} function -to be 'true'. However, the cost of removing the zeros is high because it -implies resorting the elements. Therefore, if possible it is better -is the user doesn't add the zeros in the first place. An example of -the use of @dfn{maybe_compress} is - -@example - int nz = 6, nr = 3, nc = 4; - SparseMatrix sm1 (nr, nc, nz); - sm1(0,0) = 1; sm1(0,1) = 2; sm1(1,3) = 3; sm1(2,3) = 4; - sm1.maybe_compress (); // No zero elements were added - - SparseMatrix sm2 (nr, nc, nz); - sm2(0,0) = 1; sm2(0,1) = 2; sm(0,2) = 0; sm(1,2) = 0; - sm1(1,3) = 3; sm1(2,3) = 4; - sm2.maybe_compress (true); // Zero elements were added -@end example - -The use of the @dfn{maybe_compress} function should be avoided if -possible, as it will slow the creation of the matrices. - -A third means of creating a sparse matrix is to work directly with -the data in compressed row format. An example of this technique might -be - -@c Note the @verbatim environment is a relatively new addition to texinfo. -@c Therefore use the @example environment and replace @, with @@, -@c { with @{, etc - -@example - octave_value arg; - - @dots{} - - int nz = 6, nr = 3, nc = 4; // Assume we know the max no nz - SparseMatrix sm (nr, nc, nz); - Matrix m = arg.matrix_value (); - - int ii = 0; - sm.cidx (0) = 0; - for (int j = 1; j < nc; j++) - @{ - for (int i = 0; i < nr; i++) - @{ - double tmp = foo (m(i,j)); - if (tmp != 0.) - @{ - sm.data(ii) = tmp; - sm.ridx(ii) = i; - ii++; - @} - @} - sm.cidx(j+1) = ii; - @} - sm.maybe_compress (); // If don't know a-priori the final no of nz. -@end example - -which is probably the most efficient means of creating the sparse matrix. - -Finally, it might sometimes arise that the amount of storage initially -created is insufficient to completely store the sparse matrix. Therefore, -the method @code{change_capacity} exists to reallocate the sparse memory. -The above example would then be modified as - -@example - octave_value arg; - - @dots{} - - int nz = 6, nr = 3, nc = 4; // Assume we know the max no nz - SparseMatrix sm (nr, nc, nz); - Matrix m = arg.matrix_value (); - - int ii = 0; - sm.cidx (0) = 0; - for (int j = 1; j < nc; j++) - @{ - for (int i = 0; i < nr; i++) - @{ - double tmp = foo (m(i,j)); - if (tmp != 0.) - @{ - if (ii == nz) - @{ - nz += 2; // Add 2 more elements - sm.change_capacity (nz); - @} - sm.data(ii) = tmp; - sm.ridx(ii) = i; - ii++; - @} - @} - sm.cidx(j+1) = ii; - @} - sm.maybe_mutate (); // If don't know a-priori the final no of nz. -@end example - -Note that both increasing and decreasing the number of non-zero elements in -a sparse matrix is expensive, as it involves memory reallocation. Also as -parts of the matrix, though not its entirety, exist as the old and new copy -at the same time, additional memory is needed. Therefore if possible this -should be avoided. - -@node OctUse, , OctCreation, Oct-Files -@subsection Using Sparse Matrices in Oct-Files - -Most of the same operators and functions on sparse matrices that are -available from the Octave are equally available with oct-files. -The basic means of extracting a sparse matrix from an @code{octave_value} -and returning them as an @code{octave_value}, can be seen in the -following example - -@example - octave_value_list retval; - - SparseMatrix sm = args(0).sparse_matrix_value (); - SparseComplexMatrix scm = args(1).sparse_complex_matrix_value (); - SparseBoolMatrix sbm = args(2).sparse_bool_matrix_value (); - - @dots{} - - retval(2) = sbm; - retval(1) = scm; - retval(0) = sm; -@end example - -The conversion to an octave-value is handled by the sparse -@code{octave_value} constructors, and so no special care is needed. - -@node Function Reference, , Oct-Files, Sparse Matrices +@node Function Reference, , Real Life Example, Sparse Matrices @section Function Reference @ifset htmltex
--- a/doc/interpreter/strings.txi +++ b/doc/interpreter/strings.txi @@ -41,9 +41,9 @@ @example @group toascii ("\n") - @result 10 + @result{} 10 toascii ('\n') - @result [ 92 110 ] + @result{} [ 92 110 ] @end group @end example @@ -52,7 +52,7 @@ @example 'I can''t escape' - @result I can't escape + @result{} I can't escape @end example Here is a table of all the escape sequences used in Octave. They are