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13.1 Comments | ||
13.2 Files | ||
13.3 Functions and Variables for File Input and Output | ||
13.4 Functions and Variables for TeX Output | ||
13.5 Functions and Variables for Fortran Output |
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A comment in Maxima input is any text between /*
and */
.
The Maxima parser treats a comment as whitespace for the purpose of finding
tokens in the input stream; a token always ends at a comment. An input such as
a/* foo */b
contains two tokens, a
and b
,
and not a single token ab
. Comments are otherwise ignored by Maxima;
neither the content nor the location of comments is stored in parsed input
expressions.
Comments can be nested to arbitrary depth. The /*
and */
delimiters form matching pairs. There must be the same number of /*
as there are */
.
Examples:
(%i1) /* aa is a variable of interest */ aa : 1234; (%o1) 1234 (%i2) /* Value of bb depends on aa */ bb : aa^2; (%o2) 1522756 (%i3) /* User-defined infix operator */ infix ("b"); (%o3) b (%i4) /* Parses same as a b c, not abc */ a/* foo */b/* bar */c; (%o4) a b c (%i5) /* Comments /* can be nested /* to any depth */ */ */ 1 + xyz; (%o5) xyz + 1
Categories: Syntax
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A file is simply an area on a particular storage device which contains data or text. Files on the disks are figuratively grouped into "directories". A directory is just a list of files. Commands which deal with files are:
appendfile batch batchload closefile file_output_append filename_merge file_search file_search_maxima file_search_lisp file_search_demo file_search_usage file_search_tests file_type file_type_lisp file_type_maxima load load_pathname loadfile loadprint pathname_directory pathname_name pathname_type printfile save stringout with_stdout writefile
When a file name is passed to functions like plot2d
,
save
,
writefile
Maxima stores the file in the current working directory. The current working
directory depends on the system like Windows or Linux and on the installation.
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Appends a console transcript to filename. appendfile
is the same
as writefile
,
always appended.
closefile
writefile
.
Categories: File output Console interaction
option
)
batch(filename)
reads Maxima expressions from filename and
evaluates them. batch
searches for filename in the list
file_search_maxima
.
file_search
.
batch(filename,
is like demo
)demo(filename)
.
In this case batch
searches for filename in the list
file_search_demo
.
demo
.
batch(filename,
is like test
)run_testsuite
option display_all=true
. For this case batch
searches
filename in the list file_search_maxima
and not in the list
file_search_tests
run_testsuite
runs tests which are in the list
testsuite_files
.
a test mode, which can be found in the list file_search_maxima
. This is
useful, when writing a test file.
filename comprises a sequence of Maxima expressions, each terminated with
;
or $
. The special variable %
%th
:lisp
constructs. Spaces, tabs, and newlines in the file are ignored.
A suitable input file may be created by a text editor or by the
stringout
batch
reads each input expression from filename, displays the input
to the console, computes the corresponding output expression, and displays the
output expression. Input labels are assigned to the input expressions and
output labels are assigned to the output expressions. batch
evaluates
every input expression in the file unless there is an error. If user input is
requested (by asksign
askinteger
,
pauses to collect the requisite input and then continue.
It may be possible to halt batch
by typing control-C
at the
console. The effect of control-C
depends on the underlying Lisp
implementation.
batch
has several uses, such as to provide a reservoir for working
command lines, to give error-free demonstrations, or to help organize one's
thinking in solving complex problems.
batch
evaluates its argument. batch
returns the path of
filename as a string, when called with no second argument or with the
option demo
. When called with the option test
, the return value
is a an empty list []
or a list with filename and the numbers of
the tests which have failed.
See also load
,
batchload
,
demo
.
Categories: Session management File input
Reads Maxima expressions from filename and evaluates them, without
displaying the input or output expressions and without assigning labels to
output expressions. Printed output (such as produced by print
describe
The special variable %
%th
results from the interactive interpreter, not results within the file.
The file cannot include :lisp
constructs.
batchload
returns the path of filename, as a string.
batchload
evaluates its argument.
Categories: Session management File input
Closes the transcript file opened by writefile
appendfile
.
Categories: File output Console interaction
Default value: false
file_output_append
governs whether file output functions append or
truncate their output file. When file_output_append
is true
, such
functions append to their output file. Otherwise, the output file is truncated.
save
,
stringout
,
with_stdout
file_output_append
. Other functions which write output files do not
respect file_output_append
. In particular, plotting and translation
functions always truncate their output file, and tex
appendfile
Categories: File output Global flags
Constructs a modified path from path and filename. If the final
component of path is of the form ###.something
, the component
is replaced with filename.something
. Otherwise, the final
component is simply replaced by filename.
The result is a Lisp pathname object.
Categories: File input File output
file_search
searches for the file filename and returns the path to
the file (as a string) if it can be found; otherwise file_search
returns
false
. file_search (filename)
searches in the default
search directories, which are specified by the
file_search_maxima
,
file_search_lisp
,
file_search_demo
file_search
first checks if the actual name passed exists,
before attempting to match it to "wildcard" file search patterns.
See file_search_maxima
The argument filename can be a path and file name, or just a file name, or, if a file search directory includes a file search pattern, just the base of the file name (without an extension). For example,
file_search ("/home/wfs/special/zeta.mac"); file_search ("zeta.mac"); file_search ("zeta");
all find the same file, assuming the file exists and
/home/wfs/special/###.mac
is in file_search_maxima
.
file_search (filename, pathlist)
searches only in the
directories specified by pathlist, which is a list of strings. The
argument pathlist supersedes the default search directories, so if the
path list is given, file_search
searches only the ones specified, and not
any of the default search directories. Even if there is only one directory in
pathlist, it must still be given as a one-element list.
The user may modify the default search directories.
See file_search_maxima
.
file_search
is invoked by load
file_search_lisp
Categories: File input
These variables specify lists of directories to be searched by
load
,
demo
,
values of these variables name various directories in the Maxima installation.
The user can modify these variables, either to replace the default values or to append additional directories. For example,
file_search_maxima: ["/usr/local/foo/###.mac", "/usr/local/bar/###.mac"]$
replaces the default value of file_search_maxima
, while
file_search_maxima: append (file_search_maxima, ["/usr/local/foo/###.mac", "/usr/local/bar/###.mac"])$
appends two additional directories. It may be convenient to put such an
expression in the file maxima-init.mac
so that the file search path is
assigned automatically when Maxima starts.
See also Introduction for Runtime Environment.
Multiple filename extensions and multiple paths can be specified by special
"wildcard" constructions. The string ###
expands into the sought-after
name, while a comma-separated list enclosed in curly braces
{foo,bar,baz}
expands into multiple strings. For example, supposing
the sought-after name is neumann
,
"/home/{wfs,gcj}/###.{lisp,mac}"
expands into /home/wfs/neumann.lisp
, /home/gcj/neumann.lisp
,
/home/wfs/neumann.mac
, and /home/gcj/neumann.mac
.
Categories: File input Global variables
Returns a guess about the content of filename, based on the filename extension. filename need not refer to an actual file; no attempt is made to open the file and inspect the content.
The return value is a symbol, either object
, lisp
, or
maxima
. If the extension is matches one of the values in
file_type_maxima
, file_type
returns maxima
. If the
extension matches one of the values in file_type_lisp
, file_type
returns lisp
. If none of the above, file_type
returns
object
.
See also pathname_type
.
See file_type_maxima
file_type_lisp
Examples:
(%i2) map('file_type, ["test.lisp", "test.mac", "test.dem", "test.txt"]); (%o2) [lisp, maxima, maxima, object]
Categories: File input
Default value: [l, lsp, lisp]
file_type_lisp
is a list of file extensions that maxima recognizes
as denoting a Lisp source file.
See also file_type
.
Default value: [mac, mc, demo, dem, dm1, dm2, dm3, dmt]
file_type_maxima
is a list of file extensions that maxima recognizes
as denoting a Maxima source file.
See also file_type
.
Evaluates expressions in filename, thus bringing variables, functions, and
other objects into Maxima. The binding of any existing object is clobbered by
the binding recovered from filename. To find the file, load
calls
file_search
file_search_maxima
file_search_lisp
returns the name of the file. Otherwise load
prints an error message.
load
works equally well for Lisp code and Maxima code. Files created by
save
,
translate_file
,
compile_file
,
create Lisp code, and stringout
,
be processed by load
. load
calls loadfile
files and batchload
load
does not recognize :lisp
constructs in Maxima files, and
while processing filename, the global variables _
, __
,
%
, and %th
have whatever bindings they had when load
was
called.
See also loadfile
,
batch
,
batchload
,
demo
.
batchload
, and demo
process Maxima files.
See file_search
load
evaluates its argument.
Categories: Session management File input
Default value: false
When a file is loaded with the functions load
,
loadfile
batchload
pathname of the file which is processed.
The variable load_pathname
can be accessed from the file during the
loading.
Example:
Suppose we have a batchfile test.mac
in the directory
"/home/dieter/workspace/mymaxima/temp/"
with the following commands
print("The value of load_pathname is: ", load_pathname)$ print("End of batchfile")$
then we get the following output
(%i1) load("/home/dieter/workspace/mymaxima/temp/test.mac")$ The value of load_pathname is: /home/dieter/workspace/mymaxima/temp/test.mac End of batchfile
Categories: File input
Evaluates Lisp expressions in filename. loadfile
does not invoke
file_search
,
as much of the path as needed to find the file.
loadfile
can process files created by save
,
translate_file
,
compile_file
.
more convenient to use load
Categories: Session management File input
Default value: true
loadprint
tells whether to print a message when a file is loaded.
loadprint
is true
, always print a message.
loadprint
is 'loadfile
, print a message only if
a file is loaded by the function loadfile
.
loadprint
is 'autoload
,
print a message only if a file is automatically loaded.
See setup_autoload
.
loadprint
is false
, never print a message.
Categories: File input Global flags
These functions return the components of pathname.
Examples:
(%i1) pathname_directory("/home/dieter/maxima/changelog.txt"); (%o1) /home/dieter/maxima/ (%i2) pathname_name("/home/dieter/maxima/changelog.txt"); (%o2) changelog (%i3) pathname_type("/home/dieter/maxima/changelog.txt"); (%o3) txt
Categories: File input
Prints the file named by path to the console. path may be a string or a symbol; if it is a symbol, it is converted to a string.
If path names a file which is accessible from the current working
directory, that file is printed to the console. Otherwise, printfile
attempts to locate the file by appending path to each of the elements of
file_search_usage
filename_merge
.
printfile
returns path if it names an existing file,
or otherwise the result of a successful filename merge.
Categories: File input Console interaction
Stores the current values of name_1, name_2, name_3, …,
in filename. The arguments are the names of variables, functions, or
other objects. If a name has no value or function associated with it, it is
ignored. save
returns filename.
save
stores data in the form of Lisp expressions.
The data stored by save
may be recovered by load (filename)
.
See load
.
The global flag file_output_append
truncates the output file. When file_output_append
is true
,
save
appends to the output file. Otherwise, save
truncates the
output file. In either case, save
creates the file if it does not yet
exist.
The special form save (filename, values, functions, labels, ...)
stores the items named by values
,
functions
,
labels
,
infolists
.
The special form save (filename, [m, n])
stores the
values of input and output labels m through n. Note that m
and n must be literal integers. Input and output labels may also be
stored one by one, e.g., save ("foo.1", %i42, %o42)
.
save (filename, labels)
stores all input and output labels.
When the stored labels are recovered, they clobber existing labels.
The special form save (filename, name_1=expr_1,
name_2=expr_2, ...)
stores the values of expr_1,
expr_2, …, with names name_1, name_2, …
It is useful to apply this form to input and output labels, e.g.,
save ("foo.1", aa=%o88)
. The right-hand side of the equality in this
form may be any expression, which is evaluated. This form does not introduce
the new names into the current Maxima environment, but only stores them in
filename.
These special forms and the general form of save
may be mixed at will.
For example, save (filename, aa, bb, cc=42, functions, [11, 17])
.
The special form save (filename, all)
stores the current state of
Maxima. This includes all user-defined variables, functions, arrays, etc., as
well as some automatically defined items. The saved items include system
variables, such as file_search_maxima
showtime
,
have been assigned new values by the user; see myoptions
.
save
evaluates filename and quotes all other arguments.
Categories: Session management File output
stringout
writes expressions to a file in the same form the expressions
would be typed for input. The file can then be used as input for the
batch
demo
stringout
can be executed while writefile
The global flag file_output_append
appends or truncates the output file. When file_output_append
is
true
, stringout
appends to the output file. Otherwise,
stringout
truncates the output file. In either case, stringout
creates the file if it does not yet exist.
The general form of stringout
writes the values of one or more
expressions to the output file. Note that if an expression is a
variable, only the value of the variable is written and not the name
of the variable. As a useful special case, the expressions may be
input labels (%i1
, %i2
, %i3
, …) or output labels
(%o1
, %o2
, %o3
, …).
If grind
grind
format. Otherwise the string
format is used. See
grind
and string
.
The special form stringout (filename, [m, n])
writes
the values of input labels m through n, inclusive.
The special form stringout (filename, input)
writes all
input labels to the file.
The special form stringout (filename, functions)
writes all
user-defined functions (named by the global list functions
file.
The special form stringout (filename, values)
writes all
user-assigned variables (named by the global list values
Each variable is printed as an assignment statement, with the name of the
variable, a colon, and its value. Note that the general form of
stringout
does not print variables as assignment statements.
Categories: Session management File output
Evaluates expr_1, expr_2, expr_3, … and writes any
output thus generated to a file f or output stream s. The evaluated
expressions are not written to the output. Output may be generated by
print
,
display
,
grind
,
The global flag file_output_append
appends or truncates the output file f. When file_output_append
is true
, with_stdout
appends to the output file. Otherwise,
with_stdout
truncates the output file. In either case,
with_stdout
creates the file if it does not yet exist.
with_stdout
returns the value of its final argument.
See also writefile
.
(%i1) with_stdout ("tmp.out", for i:5 thru 10 do print (i, "! yields", i!))$ (%i2) printfile ("tmp.out")$ 5 ! yields 120 6 ! yields 720 7 ! yields 5040 8 ! yields 40320 9 ! yields 362880 10 ! yields 3628800
Categories: File output
Begins writing a transcript of the Maxima session to filename. All interaction between the user and Maxima is then recorded in this file, just as it appears on the console.
As the transcript is printed in the console output format, it cannot be reloaded
into Maxima. To make a file containing expressions which can be reloaded,
see save
stringout
.
form, while stringout
stores expressions in Maxima form.
The effect of executing writefile
when filename already exists
depends on the underlying Lisp implementation; the transcript file may be
clobbered, or the file may be appended. appendfile
the transcript file.
It may be convenient to execute playback
the display of previous interactions. As playback
displays only the
input and output variables (%i1
, %o1
, etc.), any output generated
by a print statement in a function (as opposed to a return value) is not
displayed by playback
.
closefile
appendfile
.
Categories: File output Console interaction
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Prints a representation of an expression suitable for the TeX document preparation system. The result is a fragment of a document, which can be copied into a larger document but not processed by itself.
tex (expr)
prints a TeX representation of expr on the
console.
tex (label)
prints a TeX representation of the expression named by
label and assigns it an equation label (to be displayed to the left of the
expression). The TeX equation label is the same as the Maxima label.
destination may be an output stream or file name. When destination
is a file name, tex
appends its output to the file. The functions
openw
and opena
create output streams.
tex (expr, false)
and tex (label, false)
return their TeX output as a string.
tex
evaluates its first argument after testing it to see if it is a
label. Quote-quote ''
forces evaluation of the argument, thereby
defeating the test and preventing the label.
See also texput
.
Examples:
(%i1) integrate (1/(1+x^3), x); 2 x - 1 2 atan(-------) log(x - x + 1) sqrt(3) log(x + 1) (%o1) - --------------- + ------------- + ---------- 6 sqrt(3) 3 (%i2) tex (%o1); $$-{{\log \left(x^2-x+1\right)}\over{6}}+{{\arctan \left({{2\,x-1 }\over{\sqrt{3}}}\right)}\over{\sqrt{3}}}+{{\log \left(x+1\right) }\over{3}}\leqno{\tt (\%o1)}$$ (%o2) (\%o1) (%i3) tex (integrate (sin(x), x)); $$-\cos x$$ (%o3) false (%i4) tex (%o1, "foo.tex"); (%o4) (\%o1)
tex (expr, false)
returns its TeX output as a string.
(%i1) S : tex (x * y * z, false); (%o1) $$x\,y\,z$$ (%i2) S; (%o2) $$x\,y\,z$$
Categories: TeX output File output
Returns a string which represents the TeX output for the expressions e. The TeX output is not enclosed in delimiters for an equation or any other environment.
Examples:
(%i1) tex1 (sin(x) + cos(x)); (%o1) \sin x+\cos x
Assign the TeX output for the atom a, which can be a symbol or the name of an operator.
texput (a, s)
causes the tex
function to interpolate
the string s into the TeX output in place of a.
texput (a, f)
causes the tex
function to call the
function f to generate TeX output. f must accept one argument,
which is an expression which has operator a, and must return a string
(the TeX output). f may call tex1
to generate TeX output for the
arguments of the input expression.
texput (a, s, operator_type)
, where operator_type
is prefix
, infix
, postfix
, nary
, or nofix
,
causes the tex
function to interpolate s into the TeX output in
place of a, and to place the interpolated text in the appropriate
position.
texput (a, [s_1, s_2], matchfix)
causes the tex
function to interpolate s_1 and s_2 into the TeX output on either
side of the arguments of a. The arguments (if more than one) are
separated by commas.
texput (a, [s_1, s_2, s_3], matchfix)
causes the
tex
function to interpolate s_1 and s_2 into the TeX output
on either side of the arguments of a, with s_3 separating the
arguments.
Examples:
Assign TeX output for a variable.
(%i1) texput (me,"\\mu_e"); (%o1) \mu_e (%i2) tex (me); $$\mu_e$$ (%o2) false
Assign TeX output for an ordinary function (not an operator).
(%i1) texput (lcm, "\\mathrm{lcm}"); (%o1) \mathrm{lcm} (%i2) tex (lcm (a, b)); $$\mathrm{lcm}\left(a , b\right)$$ (%o2) false
Call a function to generate TeX output.
(%i1) texfoo (e) := block ([a, b], [a, b] : args (e), concat("\\left[\\stackrel{",tex1(b),"}{",tex1(a),"}\\right]"))$ (%i2) texput (foo, texfoo); (%o2) texfoo (%i3) tex (foo (2^x, %pi)); $$\left[\stackrel{\pi}{2^{x}}\right]$$ (%o3) false
Assign TeX output for a prefix operator.
(%i1) prefix ("grad"); (%o1) grad (%i2) texput ("grad", " \\nabla ", prefix); (%o2) \nabla (%i3) tex (grad f); $$ \nabla f$$ (%o3) false
Assign TeX output for an infix operator.
(%i1) infix ("~"); (%o1) ~ (%i2) texput ("~", " \\times ", infix); (%o2) \times (%i3) tex (a ~ b); $$a \times b$$ (%o3) false
Assign TeX output for a postfix operator.
(%i1) postfix ("##"); (%o1) ## (%i2) texput ("##", "!!", postfix); (%o2) !! (%i3) tex (x ##); $$x!!$$ (%o3) false
Assign TeX output for a nary operator.
(%i1) nary ("@@"); (%o1) @@ (%i2) texput ("@@", " \\circ ", nary); (%o2) \circ (%i3) tex (a @@ b @@ c @@ d); $$a \circ b \circ c \circ d$$ (%o3) false
Assign TeX output for a nofix operator.
(%i1) nofix ("foo"); (%o1) foo (%i2) texput ("foo", "\\mathsc{foo}", nofix); (%o2) \mathsc{foo} (%i3) tex (foo); $$\mathsc{foo}$$ (%o3) false
Assign TeX output for a matchfix operator.
(%i1) matchfix ("<<", ">>"); (%o1) << (%i2) texput ("<<", [" \\langle ", " \\rangle "], matchfix); (%o2) [ \langle , \rangle ] (%i3) tex (<<a>>); $$ \langle a \rangle $$ (%o3) false (%i4) tex (<<a, b>>); $$ \langle a , b \rangle $$ (%o4) false (%i5) texput ("<<", [" \\langle ", " \\rangle ", " \\, | \\,"], matchfix); (%o5) [ \langle , \rangle , \, | \,] (%i6) tex (<<a>>); $$ \langle a \rangle $$ (%o6) false (%i7) tex (<<a, b>>); $$ \langle a \, | \,b \rangle $$ (%o7) false
Categories: TeX output
Customize the TeX environment output by tex
.
As maintained by these functions, the TeX environment comprises two strings:
one is printed before any other TeX output, and the other is printed after.
Only the TeX environment of the top-level operator in an expression is output; TeX environments associated with other operators are ignored.
get_tex_environment
returns the TeX enviroment which is applied
to the operator op; returns the default if no other environment
has been assigned.
set_tex_environment
assigns the TeX environment for the operator
op.
Examples:
(%i1) get_tex_environment (":="); (%o1) [ \begin{verbatim} , ; \end{verbatim} ] (%i2) tex (f (x) := 1 - x); \begin{verbatim} f(x):=1-x; \end{verbatim} (%o2) false (%i3) set_tex_environment (":=", "$$", "$$"); (%o3) [$$, $$] (%i4) tex (f (x) := 1 - x); $$f(x):=1-x$$ (%o4) false
Categories: TeX output
Customize the TeX environment output by tex
.
As maintained by these functions, the TeX environment comprises two strings:
one is printed before any other TeX output, and the other is printed after.
get_tex_environment_default
returns the TeX environment which is
applied to expressions for which the top-level operator has no
specific TeX environment (as assigned by set_tex_environment
).
set_tex_environment_default
assigns the default TeX environment.
Examples:
(%i1) get_tex_environment_default (); (%o1) [$$, $$] (%i2) tex (f(x) + g(x)); $$g\left(x\right)+f\left(x\right)$$ (%o2) false (%i3) set_tex_environment_default ("\\begin{equation} ", " \\end{equation}"); (%o3) [\begin{equation} , \end{equation}] (%i4) tex (f(x) + g(x)); \begin{equation} g\left(x\right)+f\left(x\right) \end{equation} (%o4) false
Categories: TeX output
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Default value: 0
fortindent
controls the left margin indentation of
expressions printed out by the fortran
printout (i.e., 6 spaces), and positive values will causes the
expressions to be printed farther to the right.
Categories: Translation and compilation
Prints expr as a Fortran statement.
The output line is indented with spaces.
If the line is too long, fortran
prints continuation lines.
fortran
prints the exponentiation operator ^
as **
,
and prints a complex number a + b %i
in the form (a,b)
.
expr may be an equation. If so, fortran
prints an assignment
statement, assigning the right-hand side of the equation to the left-hand side.
In particular, if the right-hand side of expr is the name of a matrix,
then fortran
prints an assignment statement for each element of the
matrix.
If expr is not something recognized by fortran
,
the expression is printed in grind
fortran
does not know about lists, arrays, or functions.
fortindent
0
is the normal margin (i.e., indented 6 spaces). Increasing
fortindent
causes expressions to be printed further to the right.
When fortspaces
each printed line with spaces to 80 columns.
fortran
evaluates its arguments; quoting an argument defeats evaluation.
fortran
always returns done
.
See also the function f90
expressions as a Fortran 90 program.
Examples:
(%i1) expr: (a + b)^12$ (%i2) fortran (expr); (b+a)**12 (%o2) done (%i3) fortran ('x=expr); x = (b+a)**12 (%o3) done (%i4) fortran ('x=expand (expr)); x = b**12+12*a*b**11+66*a**2*b**10+220*a**3*b**9+495*a**4*b**8+792 1 *a**5*b**7+924*a**6*b**6+792*a**7*b**5+495*a**8*b**4+220*a**9*b 2 **3+66*a**10*b**2+12*a**11*b+a**12 (%o4) done (%i5) fortran ('x=7+5*%i); x = (7,5) (%o5) done (%i6) fortran ('x=[1,2,3,4]); x = [1,2,3,4] (%o6) done (%i7) f(x) := x^2$ (%i8) fortran (f); f (%o8) done
Categories: Translation and compilation
Default value: false
When fortspaces
is true
, fortran
fills out
each printed line with spaces to 80 columns.
Categories: Translation and compilation
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