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1073 lines
21 KiB
1073 lines
21 KiB
@chapter Syntax |
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@c man begin SYNTAX |
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This section documents the syntax and formats employed by the FFmpeg |
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libraries and tools. |
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@anchor{quoting_and_escaping} |
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@section Quoting and escaping |
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|
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FFmpeg adopts the following quoting and escaping mechanism, unless |
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explicitly specified. The following rules are applied: |
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@itemize |
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@item |
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@samp{'} and @samp{\} are special characters (respectively used for |
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quoting and escaping). In addition to them, there might be other |
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special characters depending on the specific syntax where the escaping |
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and quoting are employed. |
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@item |
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A special character is escaped by prefixing it with a @samp{\}. |
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@item |
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All characters enclosed between @samp{''} are included literally in the |
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parsed string. The quote character @samp{'} itself cannot be quoted, |
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so you may need to close the quote and escape it. |
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|
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@item |
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Leading and trailing whitespaces, unless escaped or quoted, are |
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removed from the parsed string. |
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@end itemize |
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|
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Note that you may need to add a second level of escaping when using |
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the command line or a script, which depends on the syntax of the |
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adopted shell language. |
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|
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The function @code{av_get_token} defined in |
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@file{libavutil/avstring.h} can be used to parse a token quoted or |
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escaped according to the rules defined above. |
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|
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The tool @file{tools/ffescape} in the FFmpeg source tree can be used |
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to automatically quote or escape a string in a script. |
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|
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@subsection Examples |
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|
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@itemize |
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@item |
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Escape the string @code{Crime d'Amour} containing the @code{'} special |
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character: |
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@example |
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Crime d\'Amour |
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@end example |
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@item |
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The string above contains a quote, so the @code{'} needs to be escaped |
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when quoting it: |
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@example |
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'Crime d'\''Amour' |
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@end example |
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@item |
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Include leading or trailing whitespaces using quoting: |
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@example |
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' this string starts and ends with whitespaces ' |
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@end example |
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@item |
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Escaping and quoting can be mixed together: |
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@example |
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' The string '\'string\'' is a string ' |
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@end example |
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@item |
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To include a literal @samp{\} you can use either escaping or quoting: |
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@example |
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'c:\foo' can be written as c:\\foo |
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@end example |
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@end itemize |
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|
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@anchor{date syntax} |
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@section Date |
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|
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The accepted syntax is: |
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@example |
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[(YYYY-MM-DD|YYYYMMDD)[T|t| ]]((HH:MM:SS[.m...]]])|(HHMMSS[.m...]]]))[Z] |
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now |
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@end example |
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If the value is "now" it takes the current time. |
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|
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Time is local time unless Z is appended, in which case it is |
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interpreted as UTC. |
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If the year-month-day part is not specified it takes the current |
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year-month-day. |
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|
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@anchor{time duration syntax} |
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@section Time duration |
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There are two accepted syntaxes for expressing time duration. |
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|
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@example |
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[-][@var{HH}:]@var{MM}:@var{SS}[.@var{m}...] |
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@end example |
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@var{HH} expresses the number of hours, @var{MM} the number of minutes |
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for a maximum of 2 digits, and @var{SS} the number of seconds for a |
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maximum of 2 digits. The @var{m} at the end expresses decimal value for |
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@var{SS}. |
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@emph{or} |
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@example |
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[-]@var{S}+[.@var{m}...] |
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@end example |
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@var{S} expresses the number of seconds, with the optional decimal part |
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@var{m}. |
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In both expressions, the optional @samp{-} indicates negative duration. |
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@subsection Examples |
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The following examples are all valid time duration: |
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@table @samp |
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@item 55 |
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55 seconds |
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@item 0.2 |
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0.2 seconds |
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@item 200ms |
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200 milliseconds, that's 0.2s |
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@item 200000us |
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200000 microseconds, that's 0.2s |
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@item 12:03:45 |
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12 hours, 03 minutes and 45 seconds |
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@item 23.189 |
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23.189 seconds |
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@end table |
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|
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@anchor{video size syntax} |
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@section Video size |
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Specify the size of the sourced video, it may be a string of the form |
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@var{width}x@var{height}, or the name of a size abbreviation. |
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The following abbreviations are recognized: |
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@table @samp |
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@item ntsc |
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720x480 |
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@item pal |
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720x576 |
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@item qntsc |
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352x240 |
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@item qpal |
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352x288 |
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@item sntsc |
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640x480 |
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@item spal |
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768x576 |
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@item film |
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352x240 |
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@item ntsc-film |
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352x240 |
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@item sqcif |
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128x96 |
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@item qcif |
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176x144 |
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@item cif |
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352x288 |
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@item 4cif |
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704x576 |
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@item 16cif |
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1408x1152 |
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@item qqvga |
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160x120 |
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@item qvga |
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320x240 |
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@item vga |
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640x480 |
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@item svga |
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800x600 |
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@item xga |
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1024x768 |
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@item uxga |
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1600x1200 |
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@item qxga |
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2048x1536 |
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@item sxga |
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1280x1024 |
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@item qsxga |
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2560x2048 |
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@item hsxga |
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5120x4096 |
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@item wvga |
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852x480 |
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@item wxga |
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1366x768 |
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@item wsxga |
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1600x1024 |
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@item wuxga |
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1920x1200 |
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@item woxga |
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2560x1600 |
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@item wqsxga |
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3200x2048 |
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@item wquxga |
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3840x2400 |
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@item whsxga |
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6400x4096 |
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@item whuxga |
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7680x4800 |
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@item cga |
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320x200 |
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@item ega |
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640x350 |
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@item hd480 |
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852x480 |
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@item hd720 |
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1280x720 |
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@item hd1080 |
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1920x1080 |
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@item 2k |
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2048x1080 |
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@item 2kflat |
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1998x1080 |
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@item 2kscope |
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2048x858 |
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@item 4k |
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4096x2160 |
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@item 4kflat |
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3996x2160 |
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@item 4kscope |
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4096x1716 |
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@item nhd |
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640x360 |
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@item hqvga |
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240x160 |
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@item wqvga |
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400x240 |
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@item fwqvga |
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432x240 |
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@item hvga |
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480x320 |
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@item qhd |
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960x540 |
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@item 2kdci |
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2048x1080 |
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@item 4kdci |
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4096x2160 |
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@item uhd2160 |
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3840x2160 |
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@item uhd4320 |
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7680x4320 |
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@end table |
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|
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@anchor{video rate syntax} |
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@section Video rate |
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|
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Specify the frame rate of a video, expressed as the number of frames |
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generated per second. It has to be a string in the format |
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@var{frame_rate_num}/@var{frame_rate_den}, an integer number, a float |
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number or a valid video frame rate abbreviation. |
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The following abbreviations are recognized: |
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@table @samp |
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@item ntsc |
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30000/1001 |
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@item pal |
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25/1 |
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@item qntsc |
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30000/1001 |
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@item qpal |
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25/1 |
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@item sntsc |
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30000/1001 |
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@item spal |
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25/1 |
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@item film |
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24/1 |
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@item ntsc-film |
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24000/1001 |
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@end table |
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@anchor{ratio syntax} |
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@section Ratio |
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A ratio can be expressed as an expression, or in the form |
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@var{numerator}:@var{denominator}. |
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Note that a ratio with infinite (1/0) or negative value is |
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considered valid, so you should check on the returned value if you |
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want to exclude those values. |
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|
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The undefined value can be expressed using the "0:0" string. |
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|
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@anchor{color syntax} |
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@section Color |
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|
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It can be the name of a color as defined below (case insensitive match) or a |
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@code{[0x|#]RRGGBB[AA]} sequence, possibly followed by @@ and a string |
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representing the alpha component. |
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The alpha component may be a string composed by "0x" followed by an |
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hexadecimal number or a decimal number between 0.0 and 1.0, which |
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represents the opacity value (@samp{0x00} or @samp{0.0} means completely |
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transparent, @samp{0xff} or @samp{1.0} completely opaque). If the alpha |
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component is not specified then @samp{0xff} is assumed. |
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The string @samp{random} will result in a random color. |
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The following names of colors are recognized: |
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@table @samp |
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@item AliceBlue |
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0xF0F8FF |
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@item AntiqueWhite |
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0xFAEBD7 |
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@item Aqua |
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0x00FFFF |
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@item Aquamarine |
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0x7FFFD4 |
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@item Azure |
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0xF0FFFF |
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@item Beige |
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0xF5F5DC |
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@item Bisque |
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0xFFE4C4 |
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@item Black |
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0x000000 |
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@item BlanchedAlmond |
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0xFFEBCD |
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@item Blue |
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0x0000FF |
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@item BlueViolet |
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0x8A2BE2 |
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@item Brown |
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0xA52A2A |
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@item BurlyWood |
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0xDEB887 |
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@item CadetBlue |
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0x5F9EA0 |
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@item Chartreuse |
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0x7FFF00 |
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@item Chocolate |
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0xD2691E |
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@item Coral |
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0xFF7F50 |
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@item CornflowerBlue |
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0x6495ED |
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@item Cornsilk |
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0xFFF8DC |
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@item Crimson |
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0xDC143C |
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@item Cyan |
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0x00FFFF |
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@item DarkBlue |
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0x00008B |
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@item DarkCyan |
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0x008B8B |
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@item DarkGoldenRod |
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0xB8860B |
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@item DarkGray |
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0xA9A9A9 |
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@item DarkGreen |
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0x006400 |
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@item DarkKhaki |
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0xBDB76B |
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@item DarkMagenta |
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0x8B008B |
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@item DarkOliveGreen |
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0x556B2F |
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@item Darkorange |
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0xFF8C00 |
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@item DarkOrchid |
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0x9932CC |
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@item DarkRed |
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0x8B0000 |
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@item DarkSalmon |
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0xE9967A |
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@item DarkSeaGreen |
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0x8FBC8F |
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@item DarkSlateBlue |
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0x483D8B |
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@item DarkSlateGray |
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0x2F4F4F |
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@item DarkTurquoise |
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0x00CED1 |
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@item DarkViolet |
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0x9400D3 |
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@item DeepPink |
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0xFF1493 |
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@item DeepSkyBlue |
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0x00BFFF |
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@item DimGray |
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0x696969 |
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@item DodgerBlue |
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0x1E90FF |
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@item FireBrick |
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0xB22222 |
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@item FloralWhite |
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0xFFFAF0 |
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@item ForestGreen |
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0x228B22 |
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@item Fuchsia |
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0xFF00FF |
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@item Gainsboro |
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0xDCDCDC |
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@item GhostWhite |
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0xF8F8FF |
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@item Gold |
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0xFFD700 |
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@item GoldenRod |
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0xDAA520 |
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@item Gray |
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0x808080 |
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@item Green |
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0x008000 |
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@item GreenYellow |
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0xADFF2F |
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@item HoneyDew |
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0xF0FFF0 |
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@item HotPink |
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0xFF69B4 |
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@item IndianRed |
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0xCD5C5C |
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@item Indigo |
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0x4B0082 |
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@item Ivory |
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0xFFFFF0 |
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@item Khaki |
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0xF0E68C |
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@item Lavender |
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0xE6E6FA |
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@item LavenderBlush |
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0xFFF0F5 |
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@item LawnGreen |
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0x7CFC00 |
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@item LemonChiffon |
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0xFFFACD |
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@item LightBlue |
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0xADD8E6 |
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@item LightCoral |
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0xF08080 |
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@item LightCyan |
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0xE0FFFF |
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@item LightGoldenRodYellow |
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0xFAFAD2 |
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@item LightGreen |
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0x90EE90 |
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@item LightGrey |
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0xD3D3D3 |
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@item LightPink |
|
0xFFB6C1 |
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@item LightSalmon |
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0xFFA07A |
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@item LightSeaGreen |
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0x20B2AA |
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@item LightSkyBlue |
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0x87CEFA |
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@item LightSlateGray |
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0x778899 |
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@item LightSteelBlue |
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0xB0C4DE |
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@item LightYellow |
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0xFFFFE0 |
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@item Lime |
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0x00FF00 |
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@item LimeGreen |
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0x32CD32 |
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@item Linen |
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0xFAF0E6 |
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@item Magenta |
|
0xFF00FF |
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@item Maroon |
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0x800000 |
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@item MediumAquaMarine |
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0x66CDAA |
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@item MediumBlue |
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0x0000CD |
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@item MediumOrchid |
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0xBA55D3 |
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@item MediumPurple |
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0x9370D8 |
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@item MediumSeaGreen |
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0x3CB371 |
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@item MediumSlateBlue |
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0x7B68EE |
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@item MediumSpringGreen |
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0x00FA9A |
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@item MediumTurquoise |
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0x48D1CC |
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@item MediumVioletRed |
|
0xC71585 |
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@item MidnightBlue |
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0x191970 |
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@item MintCream |
|
0xF5FFFA |
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@item MistyRose |
|
0xFFE4E1 |
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@item Moccasin |
|
0xFFE4B5 |
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@item NavajoWhite |
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0xFFDEAD |
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@item Navy |
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0x000080 |
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@item OldLace |
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0xFDF5E6 |
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@item Olive |
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0x808000 |
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@item OliveDrab |
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0x6B8E23 |
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@item Orange |
|
0xFFA500 |
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@item OrangeRed |
|
0xFF4500 |
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@item Orchid |
|
0xDA70D6 |
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@item PaleGoldenRod |
|
0xEEE8AA |
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@item PaleGreen |
|
0x98FB98 |
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@item PaleTurquoise |
|
0xAFEEEE |
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@item PaleVioletRed |
|
0xD87093 |
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@item PapayaWhip |
|
0xFFEFD5 |
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@item PeachPuff |
|
0xFFDAB9 |
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@item Peru |
|
0xCD853F |
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@item Pink |
|
0xFFC0CB |
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@item Plum |
|
0xDDA0DD |
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@item PowderBlue |
|
0xB0E0E6 |
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@item Purple |
|
0x800080 |
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@item Red |
|
0xFF0000 |
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@item RosyBrown |
|
0xBC8F8F |
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@item RoyalBlue |
|
0x4169E1 |
|
@item SaddleBrown |
|
0x8B4513 |
|
@item Salmon |
|
0xFA8072 |
|
@item SandyBrown |
|
0xF4A460 |
|
@item SeaGreen |
|
0x2E8B57 |
|
@item SeaShell |
|
0xFFF5EE |
|
@item Sienna |
|
0xA0522D |
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@item Silver |
|
0xC0C0C0 |
|
@item SkyBlue |
|
0x87CEEB |
|
@item SlateBlue |
|
0x6A5ACD |
|
@item SlateGray |
|
0x708090 |
|
@item Snow |
|
0xFFFAFA |
|
@item SpringGreen |
|
0x00FF7F |
|
@item SteelBlue |
|
0x4682B4 |
|
@item Tan |
|
0xD2B48C |
|
@item Teal |
|
0x008080 |
|
@item Thistle |
|
0xD8BFD8 |
|
@item Tomato |
|
0xFF6347 |
|
@item Turquoise |
|
0x40E0D0 |
|
@item Violet |
|
0xEE82EE |
|
@item Wheat |
|
0xF5DEB3 |
|
@item White |
|
0xFFFFFF |
|
@item WhiteSmoke |
|
0xF5F5F5 |
|
@item Yellow |
|
0xFFFF00 |
|
@item YellowGreen |
|
0x9ACD32 |
|
@end table |
|
|
|
@anchor{channel layout syntax} |
|
@section Channel Layout |
|
|
|
A channel layout specifies the spatial disposition of the channels in |
|
a multi-channel audio stream. To specify a channel layout, FFmpeg |
|
makes use of a special syntax. |
|
|
|
Individual channels are identified by an id, as given by the table |
|
below: |
|
@table @samp |
|
@item FL |
|
front left |
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@item FR |
|
front right |
|
@item FC |
|
front center |
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@item LFE |
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low frequency |
|
@item BL |
|
back left |
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@item BR |
|
back right |
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@item FLC |
|
front left-of-center |
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@item FRC |
|
front right-of-center |
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@item BC |
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back center |
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@item SL |
|
side left |
|
@item SR |
|
side right |
|
@item TC |
|
top center |
|
@item TFL |
|
top front left |
|
@item TFC |
|
top front center |
|
@item TFR |
|
top front right |
|
@item TBL |
|
top back left |
|
@item TBC |
|
top back center |
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@item TBR |
|
top back right |
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@item DL |
|
downmix left |
|
@item DR |
|
downmix right |
|
@item WL |
|
wide left |
|
@item WR |
|
wide right |
|
@item SDL |
|
surround direct left |
|
@item SDR |
|
surround direct right |
|
@item LFE2 |
|
low frequency 2 |
|
@end table |
|
|
|
Standard channel layout compositions can be specified by using the |
|
following identifiers: |
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@table @samp |
|
@item mono |
|
FC |
|
@item stereo |
|
FL+FR |
|
@item 2.1 |
|
FL+FR+LFE |
|
@item 3.0 |
|
FL+FR+FC |
|
@item 3.0(back) |
|
FL+FR+BC |
|
@item 4.0 |
|
FL+FR+FC+BC |
|
@item quad |
|
FL+FR+BL+BR |
|
@item quad(side) |
|
FL+FR+SL+SR |
|
@item 3.1 |
|
FL+FR+FC+LFE |
|
@item 5.0 |
|
FL+FR+FC+BL+BR |
|
@item 5.0(side) |
|
FL+FR+FC+SL+SR |
|
@item 4.1 |
|
FL+FR+FC+LFE+BC |
|
@item 5.1 |
|
FL+FR+FC+LFE+BL+BR |
|
@item 5.1(side) |
|
FL+FR+FC+LFE+SL+SR |
|
@item 6.0 |
|
FL+FR+FC+BC+SL+SR |
|
@item 6.0(front) |
|
FL+FR+FLC+FRC+SL+SR |
|
@item hexagonal |
|
FL+FR+FC+BL+BR+BC |
|
@item 6.1 |
|
FL+FR+FC+LFE+BC+SL+SR |
|
@item 6.1 |
|
FL+FR+FC+LFE+BL+BR+BC |
|
@item 6.1(front) |
|
FL+FR+LFE+FLC+FRC+SL+SR |
|
@item 7.0 |
|
FL+FR+FC+BL+BR+SL+SR |
|
@item 7.0(front) |
|
FL+FR+FC+FLC+FRC+SL+SR |
|
@item 7.1 |
|
FL+FR+FC+LFE+BL+BR+SL+SR |
|
@item 7.1(wide) |
|
FL+FR+FC+LFE+BL+BR+FLC+FRC |
|
@item 7.1(wide-side) |
|
FL+FR+FC+LFE+FLC+FRC+SL+SR |
|
@item octagonal |
|
FL+FR+FC+BL+BR+BC+SL+SR |
|
@item hexadecagonal |
|
FL+FR+FC+BL+BR+BC+SL+SR+WL+WR+TBL+TBR+TBC+TFC+TFL+TFR |
|
@item downmix |
|
DL+DR |
|
@end table |
|
|
|
A custom channel layout can be specified as a sequence of terms, separated by |
|
'+' or '|'. Each term can be: |
|
@itemize |
|
@item |
|
the name of a standard channel layout (e.g. @samp{mono}, |
|
@samp{stereo}, @samp{4.0}, @samp{quad}, @samp{5.0}, etc.) |
|
|
|
@item |
|
the name of a single channel (e.g. @samp{FL}, @samp{FR}, @samp{FC}, @samp{LFE}, etc.) |
|
|
|
@item |
|
a number of channels, in decimal, followed by 'c', yielding the default channel |
|
layout for that number of channels (see the function |
|
@code{av_get_default_channel_layout}). Note that not all channel counts have a |
|
default layout. |
|
|
|
@item |
|
a number of channels, in decimal, followed by 'C', yielding an unknown channel |
|
layout with the specified number of channels. Note that not all channel layout |
|
specification strings support unknown channel layouts. |
|
|
|
@item |
|
a channel layout mask, in hexadecimal starting with "0x" (see the |
|
@code{AV_CH_*} macros in @file{libavutil/channel_layout.h}. |
|
@end itemize |
|
|
|
Before libavutil version 53 the trailing character "c" to specify a number of |
|
channels was optional, but now it is required, while a channel layout mask can |
|
also be specified as a decimal number (if and only if not followed by "c" or "C"). |
|
|
|
See also the function @code{av_get_channel_layout} defined in |
|
@file{libavutil/channel_layout.h}. |
|
@c man end SYNTAX |
|
|
|
@chapter Expression Evaluation |
|
@c man begin EXPRESSION EVALUATION |
|
|
|
When evaluating an arithmetic expression, FFmpeg uses an internal |
|
formula evaluator, implemented through the @file{libavutil/eval.h} |
|
interface. |
|
|
|
An expression may contain unary, binary operators, constants, and |
|
functions. |
|
|
|
Two expressions @var{expr1} and @var{expr2} can be combined to form |
|
another expression "@var{expr1};@var{expr2}". |
|
@var{expr1} and @var{expr2} are evaluated in turn, and the new |
|
expression evaluates to the value of @var{expr2}. |
|
|
|
The following binary operators are available: @code{+}, @code{-}, |
|
@code{*}, @code{/}, @code{^}. |
|
|
|
The following unary operators are available: @code{+}, @code{-}. |
|
|
|
The following functions are available: |
|
@table @option |
|
@item abs(x) |
|
Compute absolute value of @var{x}. |
|
|
|
@item acos(x) |
|
Compute arccosine of @var{x}. |
|
|
|
@item asin(x) |
|
Compute arcsine of @var{x}. |
|
|
|
@item atan(x) |
|
Compute arctangent of @var{x}. |
|
|
|
@item atan2(x, y) |
|
Compute principal value of the arc tangent of @var{y}/@var{x}. |
|
|
|
@item between(x, min, max) |
|
Return 1 if @var{x} is greater than or equal to @var{min} and lesser than or |
|
equal to @var{max}, 0 otherwise. |
|
|
|
@item bitand(x, y) |
|
@item bitor(x, y) |
|
Compute bitwise and/or operation on @var{x} and @var{y}. |
|
|
|
The results of the evaluation of @var{x} and @var{y} are converted to |
|
integers before executing the bitwise operation. |
|
|
|
Note that both the conversion to integer and the conversion back to |
|
floating point can lose precision. Beware of unexpected results for |
|
large numbers (usually 2^53 and larger). |
|
|
|
@item ceil(expr) |
|
Round the value of expression @var{expr} upwards to the nearest |
|
integer. For example, "ceil(1.5)" is "2.0". |
|
|
|
@item clip(x, min, max) |
|
Return the value of @var{x} clipped between @var{min} and @var{max}. |
|
|
|
@item cos(x) |
|
Compute cosine of @var{x}. |
|
|
|
@item cosh(x) |
|
Compute hyperbolic cosine of @var{x}. |
|
|
|
@item eq(x, y) |
|
Return 1 if @var{x} and @var{y} are equivalent, 0 otherwise. |
|
|
|
@item exp(x) |
|
Compute exponential of @var{x} (with base @code{e}, the Euler's number). |
|
|
|
@item floor(expr) |
|
Round the value of expression @var{expr} downwards to the nearest |
|
integer. For example, "floor(-1.5)" is "-2.0". |
|
|
|
@item gauss(x) |
|
Compute Gauss function of @var{x}, corresponding to |
|
@code{exp(-x*x/2) / sqrt(2*PI)}. |
|
|
|
@item gcd(x, y) |
|
Return the greatest common divisor of @var{x} and @var{y}. If both @var{x} and |
|
@var{y} are 0 or either or both are less than zero then behavior is undefined. |
|
|
|
@item gt(x, y) |
|
Return 1 if @var{x} is greater than @var{y}, 0 otherwise. |
|
|
|
@item gte(x, y) |
|
Return 1 if @var{x} is greater than or equal to @var{y}, 0 otherwise. |
|
|
|
@item hypot(x, y) |
|
This function is similar to the C function with the same name; it returns |
|
"sqrt(@var{x}*@var{x} + @var{y}*@var{y})", the length of the hypotenuse of a |
|
right triangle with sides of length @var{x} and @var{y}, or the distance of the |
|
point (@var{x}, @var{y}) from the origin. |
|
|
|
@item if(x, y) |
|
Evaluate @var{x}, and if the result is non-zero return the result of |
|
the evaluation of @var{y}, return 0 otherwise. |
|
|
|
@item if(x, y, z) |
|
Evaluate @var{x}, and if the result is non-zero return the evaluation |
|
result of @var{y}, otherwise the evaluation result of @var{z}. |
|
|
|
@item ifnot(x, y) |
|
Evaluate @var{x}, and if the result is zero return the result of the |
|
evaluation of @var{y}, return 0 otherwise. |
|
|
|
@item ifnot(x, y, z) |
|
Evaluate @var{x}, and if the result is zero return the evaluation |
|
result of @var{y}, otherwise the evaluation result of @var{z}. |
|
|
|
@item isinf(x) |
|
Return 1.0 if @var{x} is +/-INFINITY, 0.0 otherwise. |
|
|
|
@item isnan(x) |
|
Return 1.0 if @var{x} is NAN, 0.0 otherwise. |
|
|
|
@item ld(var) |
|
Load the value of the internal variable with number |
|
@var{var}, which was previously stored with st(@var{var}, @var{expr}). |
|
The function returns the loaded value. |
|
|
|
@item lerp(x, y, z) |
|
Return linear interpolation between @var{x} and @var{y} by amount of @var{z}. |
|
|
|
@item log(x) |
|
Compute natural logarithm of @var{x}. |
|
|
|
@item lt(x, y) |
|
Return 1 if @var{x} is lesser than @var{y}, 0 otherwise. |
|
|
|
@item lte(x, y) |
|
Return 1 if @var{x} is lesser than or equal to @var{y}, 0 otherwise. |
|
|
|
@item max(x, y) |
|
Return the maximum between @var{x} and @var{y}. |
|
|
|
@item min(x, y) |
|
Return the minimum between @var{x} and @var{y}. |
|
|
|
@item mod(x, y) |
|
Compute the remainder of division of @var{x} by @var{y}. |
|
|
|
@item not(expr) |
|
Return 1.0 if @var{expr} is zero, 0.0 otherwise. |
|
|
|
@item pow(x, y) |
|
Compute the power of @var{x} elevated @var{y}, it is equivalent to |
|
"(@var{x})^(@var{y})". |
|
|
|
@item print(t) |
|
@item print(t, l) |
|
Print the value of expression @var{t} with loglevel @var{l}. If |
|
@var{l} is not specified then a default log level is used. |
|
Returns the value of the expression printed. |
|
|
|
Prints t with loglevel l |
|
|
|
@item random(x) |
|
Return a pseudo random value between 0.0 and 1.0. @var{x} is the index of the |
|
internal variable which will be used to save the seed/state. |
|
|
|
@item root(expr, max) |
|
Find an input value for which the function represented by @var{expr} |
|
with argument @var{ld(0)} is 0 in the interval 0..@var{max}. |
|
|
|
The expression in @var{expr} must denote a continuous function or the |
|
result is undefined. |
|
|
|
@var{ld(0)} is used to represent the function input value, which means |
|
that the given expression will be evaluated multiple times with |
|
various input values that the expression can access through |
|
@code{ld(0)}. When the expression evaluates to 0 then the |
|
corresponding input value will be returned. |
|
|
|
@item round(expr) |
|
Round the value of expression @var{expr} to the nearest integer. For example, "round(1.5)" is "2.0". |
|
|
|
@item sgn(x) |
|
Compute sign of @var{x}. |
|
|
|
@item sin(x) |
|
Compute sine of @var{x}. |
|
|
|
@item sinh(x) |
|
Compute hyperbolic sine of @var{x}. |
|
|
|
@item sqrt(expr) |
|
Compute the square root of @var{expr}. This is equivalent to |
|
"(@var{expr})^.5". |
|
|
|
@item squish(x) |
|
Compute expression @code{1/(1 + exp(4*x))}. |
|
|
|
@item st(var, expr) |
|
Store the value of the expression @var{expr} in an internal |
|
variable. @var{var} specifies the number of the variable where to |
|
store the value, and it is a value ranging from 0 to 9. The function |
|
returns the value stored in the internal variable. |
|
Note, Variables are currently not shared between expressions. |
|
|
|
@item tan(x) |
|
Compute tangent of @var{x}. |
|
|
|
@item tanh(x) |
|
Compute hyperbolic tangent of @var{x}. |
|
|
|
@item taylor(expr, x) |
|
@item taylor(expr, x, id) |
|
Evaluate a Taylor series at @var{x}, given an expression representing |
|
the @code{ld(id)}-th derivative of a function at 0. |
|
|
|
When the series does not converge the result is undefined. |
|
|
|
@var{ld(id)} is used to represent the derivative order in @var{expr}, |
|
which means that the given expression will be evaluated multiple times |
|
with various input values that the expression can access through |
|
@code{ld(id)}. If @var{id} is not specified then 0 is assumed. |
|
|
|
Note, when you have the derivatives at y instead of 0, |
|
@code{taylor(expr, x-y)} can be used. |
|
|
|
@item time(0) |
|
Return the current (wallclock) time in seconds. |
|
|
|
@item trunc(expr) |
|
Round the value of expression @var{expr} towards zero to the nearest |
|
integer. For example, "trunc(-1.5)" is "-1.0". |
|
|
|
@item while(cond, expr) |
|
Evaluate expression @var{expr} while the expression @var{cond} is |
|
non-zero, and returns the value of the last @var{expr} evaluation, or |
|
NAN if @var{cond} was always false. |
|
@end table |
|
|
|
The following constants are available: |
|
@table @option |
|
@item PI |
|
area of the unit disc, approximately 3.14 |
|
@item E |
|
exp(1) (Euler's number), approximately 2.718 |
|
@item PHI |
|
golden ratio (1+sqrt(5))/2, approximately 1.618 |
|
@end table |
|
|
|
Assuming that an expression is considered "true" if it has a non-zero |
|
value, note that: |
|
|
|
@code{*} works like AND |
|
|
|
@code{+} works like OR |
|
|
|
For example the construct: |
|
@example |
|
if (A AND B) then C |
|
@end example |
|
is equivalent to: |
|
@example |
|
if(A*B, C) |
|
@end example |
|
|
|
In your C code, you can extend the list of unary and binary functions, |
|
and define recognized constants, so that they are available for your |
|
expressions. |
|
|
|
The evaluator also recognizes the International System unit prefixes. |
|
If 'i' is appended after the prefix, binary prefixes are used, which |
|
are based on powers of 1024 instead of powers of 1000. |
|
The 'B' postfix multiplies the value by 8, and can be appended after a |
|
unit prefix or used alone. This allows using for example 'KB', 'MiB', |
|
'G' and 'B' as number postfix. |
|
|
|
The list of available International System prefixes follows, with |
|
indication of the corresponding powers of 10 and of 2. |
|
@table @option |
|
@item y |
|
10^-24 / 2^-80 |
|
@item z |
|
10^-21 / 2^-70 |
|
@item a |
|
10^-18 / 2^-60 |
|
@item f |
|
10^-15 / 2^-50 |
|
@item p |
|
10^-12 / 2^-40 |
|
@item n |
|
10^-9 / 2^-30 |
|
@item u |
|
10^-6 / 2^-20 |
|
@item m |
|
10^-3 / 2^-10 |
|
@item c |
|
10^-2 |
|
@item d |
|
10^-1 |
|
@item h |
|
10^2 |
|
@item k |
|
10^3 / 2^10 |
|
@item K |
|
10^3 / 2^10 |
|
@item M |
|
10^6 / 2^20 |
|
@item G |
|
10^9 / 2^30 |
|
@item T |
|
10^12 / 2^40 |
|
@item P |
|
10^15 / 2^40 |
|
@item E |
|
10^18 / 2^50 |
|
@item Z |
|
10^21 / 2^60 |
|
@item Y |
|
10^24 / 2^70 |
|
@end table |
|
|
|
@c man end EXPRESSION EVALUATION
|
|
|