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PROGRAM:

NAME


grap — Kernighan and Bentley's language for typesetting graphs

SYNOPSIS


grap [-d defines_file] [-D] [-l] [-M include path] [-R] [-r] [-v] [-u] [-C] [-c] [-h]
[filename ...]

DESCRIPTION


grap is an implementation of Kernighan and Bentley's language for typesetting graphs, as
described in ``Grap-A Language for Typesetting Graphs, Tutorial and User Manual,'' by Jon L.
Bentley and Brian W. Kernighan, revised May 1991, which is the primary source for
information on how to use grap. As of this writing, it is available electronically at
http://www.kohala.com/start/troff/cstr114.ps. Additional documentation and examples,
packaged with grap, may have been installed locally as well. If available, paths to them
can be displayed using grap -h or grap -v (or grap --help / grap --version)

This version is a black box implementation of grap, and some inconsistencies are to be
expected. The remainder of this manual page will briefly outline the grap language as
implemented here.

grap is a pic(1) pre-processor. It takes commands embedded in a troff(1) source file which
are surrounded by .G1 and .G2 macros, and rewrites them into pic commands to display the
graph. Other lines are copied. Output is always to the standard output, which is usually
redirected. Input is from the given filenames, which are read in order. A filename of - is
the standard input. If no filenames are given, input is read from the standard input.

Because grap is a pic preprocessor, and GNU pic will output TeX, it is possible to use grap
with TeX.

The -d option specifies a file of macro definitions to be read at startup, and defaults to
/usr/share/grap/grap.defines . The -D option inhibits the reading of any initial macros
file (the -l flag is a synonym for -D, though I do not remember why). The defines file can
also be given using the GRAP_DEFINES environment variable. (See below).

-v prints the version information on the standard output and exits. --version is a synonym
for -v.

-u makes labels unaligned by default. This version of grap uses new features of GNU pic to
align the left and right labels with the axes, that is that the left and right labels run at
right angles to the text of the paper. This may be useful in porting old grap programs. -c
makes plot strings unclipped by default. Some versions of grap allow users to place a
string anywhere in the coordinate space, rather than only in the frame. By default this
version of grap does not plot any string centered outside the frame. -c allows strings to
be placed anywhere. See also the clipped and unclipped string modifiers described in the
plot statement.

-M is followed by a colon-separated list of directories used to search for relative
pathnames included via copy. The path is also used to locate the defines file, so if the -d
changes the defines file name to a relative name, it will be searched for in the path given
by -M. The search path always includes the current directory, and by default that directory
is searched last.

All numbers used internally by grap are double precision floating point values. Sometimes
using floating point numbers has unintended consequences. To help avoid these problems,
grap can use two thresholds for comparison of floating point numbers, set by -R or -r. The
-R flag sets coarse comparison mode, which is suitable for most applications. If you are
plotting small values – less than 1e-6 or so – consider using -r which uses very fine
comparisons between numbers. You may also want to rescale your plotted values to be larger
in magnitude. The coarse comarisons are used by default.

To be precise, the value by which two numbers must differ for grap to consider them not
equal is called the comparison limit and the smallest non-zero number is called the minimum
value. The values a given version of grap uses for these are included in the output of -v
or -h.

All grap commands are included between .G1 and .G2 macros, which are consumed by grap. The
output contains pic between .PS and .PE macros. Any arguments to the .G1 macro in the input
are arguments to the .PS macro in the output, so graphs can be scaled just like pic
diagrams. If -C is given, any macro beginning with .G1 or .G2 is treated as a .G1 or .G2
macro, for compatibility with old versions of troff. Using -C also forces pure troff syntax
on embedded font change commands when strings have the size attribute, and all strings to be
unclipped.

The -h flag prints a brief help message and exits. --help is a synonym for -h.

It is possible for someone to cause grap to fail by passing a bad format string and data to
the sprintf command. If grap is integrated as part of the printing system, this could
conceivably provided a path to breaching security on the machine. If you choose to use grap
as part of a printing system run by the super-user, you should disable sprintf commands.
This can be done by calling grap with the -S flag, setting the GRAP_SAFER environment
variable, or compiling with the GRAP_SAFER preprocessor symbol defined. (The GNU configure
script included with grap will define that preprocessor symbol if the --with-grap-safe
option is given.)

The grap commands are sketched below. Refer to Kernighan and Bentley's paper for the
details.

New versions of groff(1) will invoke grap if -G is given.

Commands
Commands are separated from one another by newlines or semicolons (;).

frame [line_description] [ht height | wid width] [[(top|bottom|left| right)
line_description] ...]

frame [ht height | wid width] [line_description] [[(top|bottom|left| right)
line_description] ...]

This describes how the axes for the graph are drawn. A line_description is a pic line
description, e.g., dashed 0.5, or the literal solid. It may also include a color
keyword followed by the color to draw the string in double quotes. Any color
understood by the underlying groff system can be used. Color can only be used under
GNU pic, and is not available in compatibility mode. Similarly, for pic
implementations that understand thickness, that attribute may be used with a real
valued parameter. Thickness is not available in compatibility mode.

If the first line_description is given, the frame is drawn with that style. The
default is solid. The height and width of the frame can also be specified in inches.
The default line style can be over-ridden for sides of the frame by specifying
additional parameters to frame.

If no plotting commands have been given before the frame command is issued, the frame
will be output at that point in the plotting stream relative to embedded troff or pic
commands. Otherwise the frame is output before the first plotted object (even
invisible ones).

ht and wid are in inches by default, but can be any groff unit. If omitted, the
dimensions are 2 inches high by 3 inches wide.

coord [name] [x expr, expr] [y expr, expr] [log x | log y | log log]

The coord command specifies a new coordinate system or sets limits on the default
system. It defines the largest and smallest values that can be plotted, and therefore
the scale of the data in the frame. The limits for the x and y coordinate systems can
be given separately. If a name is given, that coordinate system is defined, if not
the default system is modified.

A coordinate system created by one coord command may be modified by subsequent coord
commands. A grap program may declare a coordinate space using coord, copy a file of
data through a macro that plots the data and finds its maxima and minima, and then
define the size of the coordinate system with a second coord statement.

This command also determines if a scale is plotted logarithmically. log log means the
same thing as log x log y.

draw [line_name] [line_description] [plot_string]

The draw command defines the style with which a given line will be plotted. If
line_name is given, the style is associated with that name, otherwise the default
style is set. line_description is a pic line description, and the optional
plot_string is a string to be centered at each point. The default line description is
invis, and the default plotting string is a centered bullet, so by default each point
is a filled circle, and they are unconnected. If points are being connected, each
draw command ends any current line and begins a new one.

When defining a line style, that is the first draw command for a given line name,
specifying no plot string means that there are to be no plot strings. Omitting the
plot string on subsequent draw commands addressing the same named line means not to
change the plot string. If a line has been defined with a plot string, and the format
is changed by a subsequent draw statement, the plot string can be removed by
specifying "" in the draw statement.

The plot string can have its format changed through several string_modifiers.
String_modifiers are described in the description of the plot command.

The standard defines file includes several macros useful as plot strings, including
bullet, square, and delta.

new is a synonym for draw.

next [line_name] at [coordinates_name] expr, expr [line_description]

The next command plots the given point using the line style given by line_name, or the
default if none is given. If line_name is given, it should have been defined by an
earlier draw command, if not a new line style with that name is created, initialized
the same way as the default style. The two expressions give the point's x and y
values, relative to the optional coordinate system. That system should have been
defined by an earlier coord command, if not, grap will exit. If the optional
line_description is given, it overrides the style's default line description. You
cannot over-ride the plotting string. To use a different plotting string use the plot
command.

The coordinates may optionally be enclosed in parentheses: (expr, expr)

quoted_string [string_modifiers] [, quoted_string [string_modifiers]] ... at
[coordinates_name] expr, expr

plot expr [format_string] at [coordinates_name] expr, expr

These commands both plot a string at the given point. In the first case the literal
strings are stacked above each other. The string_modifiers include the pic
justification modifiers (ljust, rjust, above, and below), and absolute and relative
size modifiers. See the pic documentation for the description of the justification
modifiers. grap also supports the aligned and unaligned modifiers which are briefly
noted in the description of the label command.

The standard defines file includes several macros useful as plot strings, including
bullet, square, and delta.

Strings placed by either format of the plot command are restricted to being within the
frame. This can be overridden by using the unclipped attribute, which allows a string
to be plotted in or out of the frame. The -c and -C flags set unclipped on all
strings, and to prevent a string from being plotted outside the frame when those flags
are active, the clipped attribute can be used to retore clipping behavior. Though
clipped or unclipped can be applied to any string, it only has meaning for plot
statements.

size expr sets the string size to expr points. If expr is preceded by a + or -, the
size is increased or decreased by that many points.

If color and a color name in double quotes appears, the string will be rendered in
that color under a version of GNU troff that supports color. Color is not available
in compatibility mode.

In the second version, the expr is converted to a string and placed on the graph.
format_string is a printf(3) format string. Only formatting escapes for printing
floating point numbers make sense. The format string is only respected if the sprintf
command is also active. See the description of sprintf for the various ways to
disable it. Plot and sprintf respond differently when grap is running safely.
Sprintf ignores any arguments, passing the format string through without substitution.
plot ignores the format string completely, plotting expr using the "%g" format.

Points are specified the same way as for next commands, with the same consequences for
undefined coordinate systems.

The second form of this command is because the first form can be used with a grap
sprintf expression (See Expressions).

ticks (left|right|top|bottom)[ (in|out) [expr]] [on|auto coord_name]

ticks (left|right|top|bottom) (in|out) [expr] [up expr | down expr | left expr | right expr]
at [coord_name] expr [format_string] [[, expr [format_string]] ...]

ticks (left|right|top|bottom) (in|out) [expr] [up expr | down expr | left expr | right expr]
from [coord_name] start_expr to end_expr [by [+|-|*|/] by_expr] [format_string]

ticks [left|right|top|bottom] off

This command controls the placement of ticks on the frame. By default, ticks are
automatically generated on the left and bottom sides of the frame.

The first version of this command turns on the automatic tick generation for a given
side. The in or out parameter controls the direction and length of the ticks. If a
coord_name is specified, the ticks are automatically generated using that coordinate
system. If no system is specified, the default coordinate system is used. As with
next and plot, the coordinate system must be declared before the ticks statement that
references it. This syntax for requesting automatically generated ticks is an
extension, and will not port to older grap implementations.

The second version of the ticks command overrides the automatic placement of the ticks
by specifying a list of coordinates at which to place the ticks. If the ticks are not
defined with respect to the default coordinate system, the coord_name parameter must
be given. For each tick a printf(3) style format string can be given. The
format_string defaults to "%g". The format string can also take string modifiers as
described in the plot command. To place ticks with no labels, specify format_string
as "".

If sprintf is disabled, ticks behaves as plot with respect to the format string.

The labels on the ticks may be shifted by specifying a direction and the distance in
inches to offset the label. That is the optional direction and expression immediately
preceding the at.

The third format of the ticks command over-rides the default tick generation with a
set of ticks ar regular intervals. The syntax is reminiscent of programming language
for loops. Ticks are placed starting at start_expr ending at end_expr one unit apart.
If the by clause is specified, ticks are by_expr units apart. If an operator appears
before by_expr each tick is operated on by that operator instead of +. For example

ticks left out from 2 to 32 by *2

will put ticks at 2, 4, 8, 16, and 32. If format_string is specified, all ticks are
formatted using it.

The parameters preceding the from act as described above.

The at and for forms of tick command may both be issued on the same side of a frame.
For example:

ticks left out from 2 to 32 by *2
ticks left in 3, 5, 7

will put ticks on the left side of the frame pointing out at 2, 4, 8, 16, and 32 and
in at 3, 5, and 7.

The final form of ticks turns off ticks on a given side. If no side is given the
ticks for all sides are cancelled.

tick is a synonym for ticks.

grid (left|right|top|bottom) [ticks off] [line_description] [up expr | down expr | left expr
| right expr] [on|auto [coord_name]]

grid (left|right|top|bottom) [ticks off] [line_description] [up expr | down expr | left expr
| right expr] at [coord_name] expr [format_string] [[, expr [format_string]] ...]

grid (left|right|top|bottom) [ticks off] [line_description] [up expr | down expr | left expr
| right expr] from [coord_name] start_expr to end_expr [by [+|-|*|/] by_expr]
[format_string]

The grid command is similar to the ticks command except that grid specifies the
placement of lines in the frame. The syntax is similar to ticks as well.

By specifying ticks off in the command, no ticks are drawn on that side of the frame.
If ticks appear on a side by default, or have been declared by an earlier ticks
command, grid does not cancel them unless ticks off is specified.

Instead of a direction for ticks, grid allows the user to pick a line description for
the grid lines. The usual pic line descriptions are allowed.

Grids are labelled by default. To omit labels, specify the format string as "".

If sprintf is disabled, grid behaves as plot with respect to the format string.

label (left|right|top|bottom) quoted_string [string_modifiers] [, quoted_string
[string_modifiers]] ... [up expr | down expr | left expr | right expr]

The label command places a label on the given axis. It is possible to specify several
labels, which will be stacked over each other as in pic. The final argument, if
present, specifies how many inches the label is shifted from the axis.

By default the labels on the left and right labels run parallel to the frame. You can
cancel this by specifying unaligned as a string_modifier.

circle at [coordinate_name] expr, expr [radius expr] [linedesc]

This draws an circle at the point indicated. By default, the circle is small, 0.025
inches. This can be over-ridden by specifying a radius. The coordinates of the point
are relative to the named coordinate system, or the default system if none is
specified.

This command has been extended to take a line description, e.g., dotted. It also
accepts the filling extensions described below in the bar command. It will also
accept a color keyword that gives the color of the outline of the circle in double
quotes and a fillcolor command that sets the color to fill the circle with similarly.
Colors are only available when compatibility mode is off, and using a version of GNU
pic that supports color.

line [line_description] from [coordinate_name] expr, expr to [coordinate_name] expr, expr
[line_description]

arrow [line_description] from [coordinate_name] expr, expr to [coordinate_name] expr, expr
[line_description]

This draws a line or arrow from the first point to the second using the given style.
The default line style is solid. The line_description can be given either before the
from or after the to clause. If both are given the second is used. It is possible to
specify one point in one coordinate system and one in another, note that if both
points are in a named coordinate system (even if they are in the same named coordinate
system), both points must have coordinate_name given.

copy ["filename"] [until "string"] [thru macro]

The copy command imports data from another file into the current graph. The form with
only a filename given is a simple file inclusion; the included file is simply read
into the input stream and can contain arbitrary grap commands. The more common case
is that it is a number list; see Number Lists below.

The second form takes lines from the file, splits them into words delimited by one or
more spaces, and calls the given macro with those words as parameters. The macro may
either be defined here, or be a macro defined earlier. See Macros for more
information on macros.

The filename may be omitted if the until clause is present. If so the current file is
treated as the input file until string is encountered at the beginning of the line.

copy is one of the workhorses of grap. Check out the paper and
/usr/share/doc/grap/examples for more details. Confirm the location of the examples
directory using the -v flag.
print (expr|string)

Prints its argument to the standard error.

sh block

This passes block to sh(1). Unlike K&B grap no macro or variable expansion is done.
I believe that this is also true for GNU pic version 1.10. See the Macros section for
information on defining blocks.

pic pic_statement

This issues the given pic statements in the enclosing .PS and .PE at the point where
the command is issued.

Statements that begin with a period are considered to be troff(statements) and are
output in the enclosing .PS and .PE at the point where the command appears.

For the purposes of relative placement of pic or troff commands, the frame is output
immediately before the first plotted object, or the frame statement, if any. If the
user specifies pic or troff commands and neither any plotable object nor a frame
command, the commands will not be output.

graph Name pic_commands

This command is used to position graphs with respect to each other. The current graph
is given the pic name Name (names used by pic begin with capital letters). Any pic
commands following the graph are used to position the next graph. The frame of the
graph is available for use with pic name Frame. The following places a second graph
below the first:

graph Linear
[ graph description ]
graph Exponential with .Frame.n at \
Linear.Frame.s - (0, .05)
[ graph description ]

name = expr

This assigns expr to the variable name. grap has only numeric (double) variables.

Assignment creates a variable if it does not exist. Variables persist across graphs.
Assignments can cascade; a = b = 35 assigns 35 to a and b.

bar (up|right) [coordinates_name] offset ht height [wid width] [base base_offset]
[line_description]

bar [coordinates_name] expr, expr, [coordinates_name] expr, expr, [line_description]

The bar command facilitates drawing bar graphs. The first form of the command
describes the bar somewhat generally and has grap place it. The bar may extend up or
to the right, is centered on offset and extends up or right height units (in the given
coordinate system). For example

bar up 3 ht 2

draws a 2 unit high bar sitting on the x axis, centered on x=3. By default bars are 1
unit wide, but this can be changed with the wid keyword. By default bars sit on the
base axis, i.e., bars directed up will extend from y=0. That may be overridden by the
base keyword. (The bar described above has corners (2.5, 0) and (3.5, 2).)

The line description has been extended to include a fill expr keyword that specifies
the shading inside the bar. Bars may be drawn in any line style. They support the
color and fillcolor keywords described under circle.

The second form of the command draws a box with the two points as corners. This can
be used to draw boxes highlighting certain data as well as bar graphs. Note that
filled bars will cover data drawn under them.

Control Flow
if expr then block [else block]

The if statement provides simple conditional execution. If expr is non-zero, the
block after the then statement is executed. If not the block after the else is
executed, if present. See Macros for the definition of blocks. Early versions of
this implementation of grap treated the blocks as macros that were defined and
expanded in place. This led to unnecessary confusion because explicit separators were
sometimes called for. Now, grap inserts a separator (;) after the last character in
block, so constructs like

if (x == 3) { y = y + 1 }
x = x + 1

behave as expected. A separator is also appended to the end of a for block.

for name from from_expr to to_expr [by [+|-|*|/] by_expr] do block

This command executes block iteratively. The variable name is set to from_expr and
incremented by by_expr until it exceeds to_expr. The iteration has the semantics
defined in the ticks command. The definition of block is discussed in Marcos. See
also the note about implicit separators in the description of the if command.

An = can be used in place of from.

Expressions
grap supports most standard arithmetic operators: + - / * ^. The carat (^) is
exponentiation. In an if statement grap also supports the C logical operators ==, !=, &&,
|| and unary !. Also in an if, == and != are overloaded for the comparison of quoted
strings. Parentheses are used for grouping.

Assignment is not allowed in an expression in any context, except for simple cascading of
assignments. a = b = 35 works as expected; a = 3.5 * (b = 10) does not execute.

grap supports the following functions that take one argument: log, exp, int, sin, cos, sqrt,
rand, floor, ceil. The logarithms are base 10 and the trigonometric functions are in
radians. eexp returns Euler's number to the given power and ln returns the natural
logarithm. The natural log, exponentiation functions and floor and ceil are extensions and
are probably not available in other grap implementations.

rand returns a random number uniformly distributed on [0,1). The following two-argument
functions are supported: atan2, min, max. atan2 works just like atan2(3). The random
number generator can be seeded by calling srand with a single parameter (converted
internally to an integer). Because its return value is of no use, you must use srand as a
separate statement, it is not part of a valid expression. srand is not portable.

The getpid function takes no arguments and returns the process id. This may be used to seed
the random number generator, but do not expect cryptographically random values to result.

Other than string comparison, no expressions can use strings. One string valued function
exists: sprintf (format, [expr [, expr]] ). It operates like sprintf(3), except returning
the value. It can be used anywhere a quoted string is used. If grap is run with -S, the
environment variable GRAP_SAFER is defined, or grap has been compiled for safer operation,
the sprintf command will return the format string. This mode of operation is only intended
to be used only if grap is being used as part of a super-user enabled print system.

grap version 1.44 and beyond support two functions for date and time manipulation, strptime
and strptime. strptime parses a time using the strptime(3) function. It takes two
parameters, both strings, the format and a string to parse using that format and returns a
number that can be sorted directly - the number of seconds since the UNIX epoch. strftime
does the reverse. It takes a string and a number and formats the number into a date. In
both functions, the format is the first parameter. The formats are defined in the
documentation for strftime(3).

Macros
grap has a simple but powerful macro facility. Macros are defined using the define command
:

define name block
undefine name

Every occurrence of name in the program text is replaced by the contents of block.
block is defined by a series of statements in nested { }'s, or a series of statements
surrounded by the same letter. An example of the latter is

define foo X coord x 1,3 X
Each time foo appears in the text, it will be replaced by coord x 1,3. Macros are
literal, and can contain newlines. If a macro does not span multiple lines, it should
end in a semicolon to avoid parsing errors.

Macros can take parameters, too. If a macro call is followed by a parenthesized,
comma-separated list the values starting with $1 will be replaced in the macro with
the elements of the list. A $ not followed by a digit is left unchanged. This
parsing is very rudimentary; no nesting or parentheses or escaping of commas is
allowed. Also, there is no way to say argument 1 followed by a digit (${1}0 in
sh(1)).

The following will draw a line with slope 1.

define foo { next at $1, $2 }
for i from 1 to 5 { foo(i,i) }
Macros persist across graphs. The file /usr/share/grap/grap.defines contains simple
macros for plotting common characters. The undefine command deletes a macro.

See the directory /usr/share/doc/grap/examples for more examples of macros. Confirm
the location of the examples directory using the -v flag.

Number Lists
A whitespace-separated list of numbers is treated specially. The list is taken to be points
to be plotted using the default line style on the default coordinate system. If more than
two numbers are given, the extra numbers are taken to be additional y values to plot at the
first x value. Number lists in DWB grap can be comma-separated, and this grap supports that
as well. More precisely, numbers in number lists can be separated by either whitespace,
commas, or both.

1 2 3
4 5 6

Will plot points using the default line style at (1,2), (1,3),(4,5) and (4,6). A simple way
to plot a set of numbers in a file named ./data is:

.G1
copy "./data"
.G2

Pic Macros
grap defines pic macros that can be used in embedded pic code to place elements in the
graph. The macros are x_gg, y_gg, and xy_gg. These macros define pic distances that
correspond to the given argument. They can be used to size boxes or to plot pic constructs
on the graph. To place a given construct on the graph, you should add Frame.Origin to it.
Other coordinate spaces can be used by replacing gg with the name of the coordinate space.
A coordinate space named gg cannot be reliably accessed by these macros.

The macros are emitted immediately before the frame is drawn.

DWB grap may use these as part of its implementation. This grap provides them only for
compatibility. Note that these are very simple macros, and may not do what you expect under
complex conditions.

ENVIRONMENT VARIABLES


If the environment variable GRAP_DEFINES is defined, grap will look for its defines file
there. If that value is a relative path name the path specified in the -M option will be
searched for it. GRAP_DEFINES overrides the compiled in location of the defines file, but
may be overridden by the -d or -D flags.

If GRAP_SAFER is set, sprintf is disabled to prevent forcing grap to core dump or smash the
stack.

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