mirror of
https://gitee.com/openharmony/third_party_ffmpeg
synced 2024-11-30 22:50:48 +00:00
3650cb2dfa
This was added in early 2013 and abandoned several months later; as far as I can tell, there are no external users. Future OpenCL use will be via hwcontext, which requires neither special OpenCL-only API nor global state in libavutil. All internal users are also deleted - this is just the unsharp filter (replaced by unsharp_opencl, which is more flexible) and the deshake filter (no replacement).
1060 lines
21 KiB
Plaintext
1060 lines
21 KiB
Plaintext
@chapter Syntax
|
|
@c man begin SYNTAX
|
|
|
|
This section documents the syntax and formats employed by the FFmpeg
|
|
libraries and tools.
|
|
|
|
@anchor{quoting_and_escaping}
|
|
@section Quoting and escaping
|
|
|
|
FFmpeg adopts the following quoting and escaping mechanism, unless
|
|
explicitly specified. The following rules are applied:
|
|
|
|
@itemize
|
|
@item
|
|
@samp{'} and @samp{\} are special characters (respectively used for
|
|
quoting and escaping). In addition to them, there might be other
|
|
special characters depending on the specific syntax where the escaping
|
|
and quoting are employed.
|
|
|
|
@item
|
|
A special character is escaped by prefixing it with a @samp{\}.
|
|
|
|
@item
|
|
All characters enclosed between @samp{''} are included literally in the
|
|
parsed string. The quote character @samp{'} itself cannot be quoted,
|
|
so you may need to close the quote and escape it.
|
|
|
|
@item
|
|
Leading and trailing whitespaces, unless escaped or quoted, are
|
|
removed from the parsed string.
|
|
@end itemize
|
|
|
|
Note that you may need to add a second level of escaping when using
|
|
the command line or a script, which depends on the syntax of the
|
|
adopted shell language.
|
|
|
|
The function @code{av_get_token} defined in
|
|
@file{libavutil/avstring.h} can be used to parse a token quoted or
|
|
escaped according to the rules defined above.
|
|
|
|
The tool @file{tools/ffescape} in the FFmpeg source tree can be used
|
|
to automatically quote or escape a string in a script.
|
|
|
|
@subsection Examples
|
|
|
|
@itemize
|
|
@item
|
|
Escape the string @code{Crime d'Amour} containing the @code{'} special
|
|
character:
|
|
@example
|
|
Crime d\'Amour
|
|
@end example
|
|
|
|
@item
|
|
The string above contains a quote, so the @code{'} needs to be escaped
|
|
when quoting it:
|
|
@example
|
|
'Crime d'\''Amour'
|
|
@end example
|
|
|
|
@item
|
|
Include leading or trailing whitespaces using quoting:
|
|
@example
|
|
' this string starts and ends with whitespaces '
|
|
@end example
|
|
|
|
@item
|
|
Escaping and quoting can be mixed together:
|
|
@example
|
|
' The string '\'string\'' is a string '
|
|
@end example
|
|
|
|
@item
|
|
To include a literal @samp{\} you can use either escaping or quoting:
|
|
@example
|
|
'c:\foo' can be written as c:\\foo
|
|
@end example
|
|
@end itemize
|
|
|
|
@anchor{date syntax}
|
|
@section Date
|
|
|
|
The accepted syntax is:
|
|
@example
|
|
[(YYYY-MM-DD|YYYYMMDD)[T|t| ]]((HH:MM:SS[.m...]]])|(HHMMSS[.m...]]]))[Z]
|
|
now
|
|
@end example
|
|
|
|
If the value is "now" it takes the current time.
|
|
|
|
Time is local time unless Z is appended, in which case it is
|
|
interpreted as UTC.
|
|
If the year-month-day part is not specified it takes the current
|
|
year-month-day.
|
|
|
|
@anchor{time duration syntax}
|
|
@section Time duration
|
|
|
|
There are two accepted syntaxes for expressing time duration.
|
|
|
|
@example
|
|
[-][@var{HH}:]@var{MM}:@var{SS}[.@var{m}...]
|
|
@end example
|
|
|
|
@var{HH} expresses the number of hours, @var{MM} the number of minutes
|
|
for a maximum of 2 digits, and @var{SS} the number of seconds for a
|
|
maximum of 2 digits. The @var{m} at the end expresses decimal value for
|
|
@var{SS}.
|
|
|
|
@emph{or}
|
|
|
|
@example
|
|
[-]@var{S}+[.@var{m}...]
|
|
@end example
|
|
|
|
@var{S} expresses the number of seconds, with the optional decimal part
|
|
@var{m}.
|
|
|
|
In both expressions, the optional @samp{-} indicates negative duration.
|
|
|
|
@subsection Examples
|
|
|
|
The following examples are all valid time duration:
|
|
|
|
@table @samp
|
|
@item 55
|
|
55 seconds
|
|
|
|
@item 12:03:45
|
|
12 hours, 03 minutes and 45 seconds
|
|
|
|
@item 23.189
|
|
23.189 seconds
|
|
@end table
|
|
|
|
@anchor{video size syntax}
|
|
@section Video size
|
|
Specify the size of the sourced video, it may be a string of the form
|
|
@var{width}x@var{height}, or the name of a size abbreviation.
|
|
|
|
The following abbreviations are recognized:
|
|
@table @samp
|
|
@item ntsc
|
|
720x480
|
|
@item pal
|
|
720x576
|
|
@item qntsc
|
|
352x240
|
|
@item qpal
|
|
352x288
|
|
@item sntsc
|
|
640x480
|
|
@item spal
|
|
768x576
|
|
@item film
|
|
352x240
|
|
@item ntsc-film
|
|
352x240
|
|
@item sqcif
|
|
128x96
|
|
@item qcif
|
|
176x144
|
|
@item cif
|
|
352x288
|
|
@item 4cif
|
|
704x576
|
|
@item 16cif
|
|
1408x1152
|
|
@item qqvga
|
|
160x120
|
|
@item qvga
|
|
320x240
|
|
@item vga
|
|
640x480
|
|
@item svga
|
|
800x600
|
|
@item xga
|
|
1024x768
|
|
@item uxga
|
|
1600x1200
|
|
@item qxga
|
|
2048x1536
|
|
@item sxga
|
|
1280x1024
|
|
@item qsxga
|
|
2560x2048
|
|
@item hsxga
|
|
5120x4096
|
|
@item wvga
|
|
852x480
|
|
@item wxga
|
|
1366x768
|
|
@item wsxga
|
|
1600x1024
|
|
@item wuxga
|
|
1920x1200
|
|
@item woxga
|
|
2560x1600
|
|
@item wqsxga
|
|
3200x2048
|
|
@item wquxga
|
|
3840x2400
|
|
@item whsxga
|
|
6400x4096
|
|
@item whuxga
|
|
7680x4800
|
|
@item cga
|
|
320x200
|
|
@item ega
|
|
640x350
|
|
@item hd480
|
|
852x480
|
|
@item hd720
|
|
1280x720
|
|
@item hd1080
|
|
1920x1080
|
|
@item 2k
|
|
2048x1080
|
|
@item 2kflat
|
|
1998x1080
|
|
@item 2kscope
|
|
2048x858
|
|
@item 4k
|
|
4096x2160
|
|
@item 4kflat
|
|
3996x2160
|
|
@item 4kscope
|
|
4096x1716
|
|
@item nhd
|
|
640x360
|
|
@item hqvga
|
|
240x160
|
|
@item wqvga
|
|
400x240
|
|
@item fwqvga
|
|
432x240
|
|
@item hvga
|
|
480x320
|
|
@item qhd
|
|
960x540
|
|
@item 2kdci
|
|
2048x1080
|
|
@item 4kdci
|
|
4096x2160
|
|
@item uhd2160
|
|
3840x2160
|
|
@item uhd4320
|
|
7680x4320
|
|
@end table
|
|
|
|
@anchor{video rate syntax}
|
|
@section Video rate
|
|
|
|
Specify the frame rate of a video, expressed as the number of frames
|
|
generated per second. It has to be a string in the format
|
|
@var{frame_rate_num}/@var{frame_rate_den}, an integer number, a float
|
|
number or a valid video frame rate abbreviation.
|
|
|
|
The following abbreviations are recognized:
|
|
@table @samp
|
|
@item ntsc
|
|
30000/1001
|
|
@item pal
|
|
25/1
|
|
@item qntsc
|
|
30000/1001
|
|
@item qpal
|
|
25/1
|
|
@item sntsc
|
|
30000/1001
|
|
@item spal
|
|
25/1
|
|
@item film
|
|
24/1
|
|
@item ntsc-film
|
|
24000/1001
|
|
@end table
|
|
|
|
@anchor{ratio syntax}
|
|
@section Ratio
|
|
|
|
A ratio can be expressed as an expression, or in the form
|
|
@var{numerator}:@var{denominator}.
|
|
|
|
Note that a ratio with infinite (1/0) or negative value is
|
|
considered valid, so you should check on the returned value if you
|
|
want to exclude those values.
|
|
|
|
The undefined value can be expressed using the "0:0" string.
|
|
|
|
@anchor{color syntax}
|
|
@section Color
|
|
|
|
It can be the name of a color as defined below (case insensitive match) or a
|
|
@code{[0x|#]RRGGBB[AA]} sequence, possibly followed by @@ and a string
|
|
representing the alpha component.
|
|
|
|
The alpha component may be a string composed by "0x" followed by an
|
|
hexadecimal number or a decimal number between 0.0 and 1.0, which
|
|
represents the opacity value (@samp{0x00} or @samp{0.0} means completely
|
|
transparent, @samp{0xff} or @samp{1.0} completely opaque). If the alpha
|
|
component is not specified then @samp{0xff} is assumed.
|
|
|
|
The string @samp{random} will result in a random color.
|
|
|
|
The following names of colors are recognized:
|
|
@table @samp
|
|
@item AliceBlue
|
|
0xF0F8FF
|
|
@item AntiqueWhite
|
|
0xFAEBD7
|
|
@item Aqua
|
|
0x00FFFF
|
|
@item Aquamarine
|
|
0x7FFFD4
|
|
@item Azure
|
|
0xF0FFFF
|
|
@item Beige
|
|
0xF5F5DC
|
|
@item Bisque
|
|
0xFFE4C4
|
|
@item Black
|
|
0x000000
|
|
@item BlanchedAlmond
|
|
0xFFEBCD
|
|
@item Blue
|
|
0x0000FF
|
|
@item BlueViolet
|
|
0x8A2BE2
|
|
@item Brown
|
|
0xA52A2A
|
|
@item BurlyWood
|
|
0xDEB887
|
|
@item CadetBlue
|
|
0x5F9EA0
|
|
@item Chartreuse
|
|
0x7FFF00
|
|
@item Chocolate
|
|
0xD2691E
|
|
@item Coral
|
|
0xFF7F50
|
|
@item CornflowerBlue
|
|
0x6495ED
|
|
@item Cornsilk
|
|
0xFFF8DC
|
|
@item Crimson
|
|
0xDC143C
|
|
@item Cyan
|
|
0x00FFFF
|
|
@item DarkBlue
|
|
0x00008B
|
|
@item DarkCyan
|
|
0x008B8B
|
|
@item DarkGoldenRod
|
|
0xB8860B
|
|
@item DarkGray
|
|
0xA9A9A9
|
|
@item DarkGreen
|
|
0x006400
|
|
@item DarkKhaki
|
|
0xBDB76B
|
|
@item DarkMagenta
|
|
0x8B008B
|
|
@item DarkOliveGreen
|
|
0x556B2F
|
|
@item Darkorange
|
|
0xFF8C00
|
|
@item DarkOrchid
|
|
0x9932CC
|
|
@item DarkRed
|
|
0x8B0000
|
|
@item DarkSalmon
|
|
0xE9967A
|
|
@item DarkSeaGreen
|
|
0x8FBC8F
|
|
@item DarkSlateBlue
|
|
0x483D8B
|
|
@item DarkSlateGray
|
|
0x2F4F4F
|
|
@item DarkTurquoise
|
|
0x00CED1
|
|
@item DarkViolet
|
|
0x9400D3
|
|
@item DeepPink
|
|
0xFF1493
|
|
@item DeepSkyBlue
|
|
0x00BFFF
|
|
@item DimGray
|
|
0x696969
|
|
@item DodgerBlue
|
|
0x1E90FF
|
|
@item FireBrick
|
|
0xB22222
|
|
@item FloralWhite
|
|
0xFFFAF0
|
|
@item ForestGreen
|
|
0x228B22
|
|
@item Fuchsia
|
|
0xFF00FF
|
|
@item Gainsboro
|
|
0xDCDCDC
|
|
@item GhostWhite
|
|
0xF8F8FF
|
|
@item Gold
|
|
0xFFD700
|
|
@item GoldenRod
|
|
0xDAA520
|
|
@item Gray
|
|
0x808080
|
|
@item Green
|
|
0x008000
|
|
@item GreenYellow
|
|
0xADFF2F
|
|
@item HoneyDew
|
|
0xF0FFF0
|
|
@item HotPink
|
|
0xFF69B4
|
|
@item IndianRed
|
|
0xCD5C5C
|
|
@item Indigo
|
|
0x4B0082
|
|
@item Ivory
|
|
0xFFFFF0
|
|
@item Khaki
|
|
0xF0E68C
|
|
@item Lavender
|
|
0xE6E6FA
|
|
@item LavenderBlush
|
|
0xFFF0F5
|
|
@item LawnGreen
|
|
0x7CFC00
|
|
@item LemonChiffon
|
|
0xFFFACD
|
|
@item LightBlue
|
|
0xADD8E6
|
|
@item LightCoral
|
|
0xF08080
|
|
@item LightCyan
|
|
0xE0FFFF
|
|
@item LightGoldenRodYellow
|
|
0xFAFAD2
|
|
@item LightGreen
|
|
0x90EE90
|
|
@item LightGrey
|
|
0xD3D3D3
|
|
@item LightPink
|
|
0xFFB6C1
|
|
@item LightSalmon
|
|
0xFFA07A
|
|
@item LightSeaGreen
|
|
0x20B2AA
|
|
@item LightSkyBlue
|
|
0x87CEFA
|
|
@item LightSlateGray
|
|
0x778899
|
|
@item LightSteelBlue
|
|
0xB0C4DE
|
|
@item LightYellow
|
|
0xFFFFE0
|
|
@item Lime
|
|
0x00FF00
|
|
@item LimeGreen
|
|
0x32CD32
|
|
@item Linen
|
|
0xFAF0E6
|
|
@item Magenta
|
|
0xFF00FF
|
|
@item Maroon
|
|
0x800000
|
|
@item MediumAquaMarine
|
|
0x66CDAA
|
|
@item MediumBlue
|
|
0x0000CD
|
|
@item MediumOrchid
|
|
0xBA55D3
|
|
@item MediumPurple
|
|
0x9370D8
|
|
@item MediumSeaGreen
|
|
0x3CB371
|
|
@item MediumSlateBlue
|
|
0x7B68EE
|
|
@item MediumSpringGreen
|
|
0x00FA9A
|
|
@item MediumTurquoise
|
|
0x48D1CC
|
|
@item MediumVioletRed
|
|
0xC71585
|
|
@item MidnightBlue
|
|
0x191970
|
|
@item MintCream
|
|
0xF5FFFA
|
|
@item MistyRose
|
|
0xFFE4E1
|
|
@item Moccasin
|
|
0xFFE4B5
|
|
@item NavajoWhite
|
|
0xFFDEAD
|
|
@item Navy
|
|
0x000080
|
|
@item OldLace
|
|
0xFDF5E6
|
|
@item Olive
|
|
0x808000
|
|
@item OliveDrab
|
|
0x6B8E23
|
|
@item Orange
|
|
0xFFA500
|
|
@item OrangeRed
|
|
0xFF4500
|
|
@item Orchid
|
|
0xDA70D6
|
|
@item PaleGoldenRod
|
|
0xEEE8AA
|
|
@item PaleGreen
|
|
0x98FB98
|
|
@item PaleTurquoise
|
|
0xAFEEEE
|
|
@item PaleVioletRed
|
|
0xD87093
|
|
@item PapayaWhip
|
|
0xFFEFD5
|
|
@item PeachPuff
|
|
0xFFDAB9
|
|
@item Peru
|
|
0xCD853F
|
|
@item Pink
|
|
0xFFC0CB
|
|
@item Plum
|
|
0xDDA0DD
|
|
@item PowderBlue
|
|
0xB0E0E6
|
|
@item Purple
|
|
0x800080
|
|
@item Red
|
|
0xFF0000
|
|
@item RosyBrown
|
|
0xBC8F8F
|
|
@item RoyalBlue
|
|
0x4169E1
|
|
@item SaddleBrown
|
|
0x8B4513
|
|
@item Salmon
|
|
0xFA8072
|
|
@item SandyBrown
|
|
0xF4A460
|
|
@item SeaGreen
|
|
0x2E8B57
|
|
@item SeaShell
|
|
0xFFF5EE
|
|
@item Sienna
|
|
0xA0522D
|
|
@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
|
|
@item FR
|
|
front right
|
|
@item FC
|
|
front center
|
|
@item LFE
|
|
low frequency
|
|
@item BL
|
|
back left
|
|
@item BR
|
|
back right
|
|
@item FLC
|
|
front left-of-center
|
|
@item FRC
|
|
front right-of-center
|
|
@item BC
|
|
back center
|
|
@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
|
|
@item TBR
|
|
top back right
|
|
@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:
|
|
@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 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 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
|