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-<?xml version="1.0" standalone="no" ?>
-<!DOCTYPE documentation SYSTEM 'jmax.dtd'>
-<documentation title="Reference Manual: Architecture">
-<!-- $Id: architecture.xml,v 1.2 2006-03-15 04:44:50 matju Exp $ -->
-<!--
- GridFlow Reference Manual: Architecture
- Copyright (c) 2001,2002,2003,2004 by Mathieu Bouchard
--->
-
-<!--
-<section name="Conventions of this Manual">
- (In this section, usage of Bold, Italic, Courier, etc. would be explained.
- eventually I'd like those to have precise meanings consistent throughout
- the whole documentation)
-</section>
--->
-
-<!--write-me
-<section name="Naming Conventions">
-</section>
--->
-
-<!--write-me
-<section name="User-level Overview">
-<p>(this section is for all users)</p>
-</section>
--->
-
-<section name="Numbers">
-
- <p>High-performance computation requires precise and quite peculiar
- definitions of numbers and their representation.</p>
-
- <p>Inside most programs, numbers are written down as strings of
- bits. A bit is either zero or one. Just like the decimal system
- uses units, tens, hundreds, the binary system uses units, twos,
- fours, eights, sixteens, and so on, doubling every time.</p>
-
- <p>One notation, called integer allows for only integer values to be
- written (no fractions). when it is unsigned, no negative values may
- be written. when it is signed, one bit indicates whether the number
- is positive or negative. Integer storage is usually fixed-size, so you have
- bounds on the size of numbers, and if a result is too big it "wraps around", truncating the biggest
- bits.</p>
-
- <p>Another notation, called floating point (or float) stores numbers using
- a fixed number of significant digits, and a scale factor that allows for huge numbers
- and tiny fractions at once. Note that 1/3 has periodic digits, but even 0.1 has periodic digits,
- in binary coding; so expect some slight roundings; the precision offered should be
- sufficient for most purposes. Make sure the errors of rounding don't accumulate, though.</p>
-
- <p>This little program of mine prints 1/3 in base 2 (only digits after the period):
- <k>ruby -e 'x=1/3.0;for i in 0..52 do x*=2;y=x.floor;print y;x-=y end;puts'</k></p>
-
-
- <p>In GridFlow, there are six kinds of numbers:</p>
-
- <table>
- <column id="name">name</column>
- <column id="aliases">aliases</column>
- <column id="range">range</column>
- <column id="size">size (bytes)</column>
- <column id="precision">precision</column>
- <column id="">description</column>
- <row name="uint8" aliases="u8 b" size="1"
- range="0..255" precision="1">
- unsigned 8-bit integer.
- this is the usual size of numbers taken from files and cameras, and
- written to files and to windows. (however this gets converted to <k>int32</k>
- unless otherwise specified.)
- </row>
- <row name="int16" aliases="i16 s" size="2"
- range="±2&lt;sup&gt;15&lt;/sup&gt; = -32768..32767" precision="1"
- >...</row>
- <row name="int32" aliases="i32 i" size="4"
- range="±2&lt;sup&gt;31&lt;/sup&gt; = -2147483648..2147483647" precision="1">
- signed 32-bit integer.
- this is used for most computations.
- </row>
- <row name="int64" aliases="i64 l" size="8"
- range="±2&lt;sup&gt;63&lt;/sup&gt;" precision="1"
- >...</row>
- <row name="float32" aliases="f32 f" size="4"
- range="±10&lt;sup&gt;±38&lt;/sup&gt;"
- precision="23 bits = 0.000012% (about 7 digits)"
- >...</row>
- <row name="float64" aliases="f64 d" size="8"
- range="±10&lt;sup&gt;±308&lt;/sup&gt;"
- precision="52 bits (about 15 digits)"
- >...</row>
- </table>
-</section>
-
-<section name="Grid Literals">
-<p>
- In every grid-accepting inlet, a list may be sent instead; if
- it consists only of integers, it will be converted to a
- one-dimensional grid. Else it may contain a single "#" sign and
- integers on both sides of it, where the ones to the left of it are
- fed as arguments to an imaginary <k>[#redim]</k> object and the one to the
- right of it are fed through that <k>[#redim]</k>.
-</p>
-<p>
- In every grid-accepting inlet, an integer or float may also be sent;
- it will be converted to a zero-dimensional grid (a <b>scalar</b>).
-</p>
-</section>
-
-<section name="Grid Protocol">
- <p>
- a grid has an associated number type that defines what are the possible values for its elements
- (and how much space it takes). the default is <b>int32</b>.
- </p>
- <p>
- a single-dimensional grid of 3 elements (a triplet) is called dim(3). a
- three-dimensional grid of 240 rows of 320 columns of triplets is called
- dim(240,320,3).
- </p>
- <p>
- There is a sequence in which elements of a Grid are stored and
- transmitted. Dimension 0 is called "first" and dimension N-1 is
- called "last". They are called so because if you select a
- position in the first dimension of a grid, the selected part is of the same
- shape minus the first dimension; so in dim(240,320,3) if you select
- row 51 (or whichever valid row number), you get a dim(320,3). if you select
- a subpart two more times you get to a single number.
- </p>
- <p>
- At each such level, elements are sent/stored in their numeric order,
- and are numbered using natural numbers starting at 0. This ordering usually
- does not matter, but sometimes it does. Most notably, <k>[#import]</k>,
- <k>[#export]</k> and <k>[#redim]</k> care about it.
- </p>
- <p>
- On the other hand, order of dimensions usually does matter; this is
- what distinguishes rows from columns and channels, for example.
- Most objects care about the distinction.
- </p>
- <p>
- A grid with only 1 element in a given dimension is different from one
- lacking that dimension; it won't have the same meaning. You can use this
- property to your advantage sometimes.
- </p>
- <p>
- Zero-dimensional grids exist. They are called dim(). They can only contain
- a single number.
- </p>
-</section>
-
-<section name="Picture Protocol">
- <p><i>This section is useful if you want to know what a picture is
- in terms of a grid.
- </i></p>
-
- <p>A picture is a three-dimensional Grid:
- <list start="0">
- <li>rows</li>
- <li>columns</li>
- <li>channels</li>
- </list>
- </p>
- <p>Channels for the RGB color model are:
- <list start="0">
- <li>red</li>
- <li>green</li>
- <li>blue</li>
- </list>
- </p>
- <p>
- Because Grids are made of 32-bit integers, a three-channel picture uses
- 96 bpp (bits per pixel), and have to be downscaled to 24 bpp (or 16 bpp)
- for display. That huge amount of slack is there because when you create
- your own effects you often have intermediate results that need to be of
- higher precision than a normal picture. Especially, results of multiplications
- are big and should not overflow before you divide them back to normal;
- and similarly, you can have negative values all over, as long as you take
- care of them before they get to the display.
- </p>
- <p>
- In the final conversion, high bits are just ignored. This means: black is
- 0, maximum is 255, and values wrap like with <k>% 256</k>. If you want to
- clip them, you may use <k>[# max 0]</k> and <k>[# min 255]</k> objects.
- </p>
-</section>
-
-<section name="Numeric Operators">
- <p>In the following table, A is the value entered to the
- left, and B is the value entered to the right.</p>
-
- <p>Angles are in hundredths of degrees. This means a full circle
- (two pi radians) is 36000. You convert from degrees to our angles
- by multiplying by 100. You convert from radians to our angles by
- multiplying by 18000/pi.</p>
-
- <p>Hyperbolic functions (tanh) work with our angles too, so the
- same conversions apply.</p>
-
-<table>
- <column id="name" type="icon">name</column>
- <column id="">description</column>
- <column id="color">meaning in pixel context (pictures, palettes)</column>
- <column id="space">meaning in spatial context (indexmaps, polygons)</column>
-
- <!-- category: bogus -->
- <row name="ignore" cname="ignore"
- color="no effect"
- space="no effect"
- > A </row>
- <row name="put" cname="put"
- color="replace by"
- space="replace by"
- > B </row>
-
- <!-- category: additive -->
- <row name="+" cname="add"
- color="brightness, crossfade"
- space="move, morph"
- > A + B </row>
- <row name="-" cname="sub"
- color="brightness, motion detection"
- space="move, motion detection"
- > A - B </row>
- <row name="inv+" cname="bus"
- color="negate then contrast"
- space="180 degree rotate then move"
- > B - A </row>
-
- <!-- category: multiplicative -->
- <row name="*" cname="mul"
- color="contrast"
- space="zoom out"
- > A * B </row>
- <row name="/" cname="div"
- color="contrast"
- space="zoom in"
- > A / B, rounded towards zero </row>
- <row name="div" cname="div2"
- color="contrast"
- space="zoom in"
- > A / B, rounded downwards </row>
- <row name="inv*" cname="vid"
- > B / A, rounded towards zero </row>
- <row name="swapdiv" cname="vid2"
- > B / A, rounded downwards </row>
- <row name="%" cname="mod"
- space="tile"
- > A % B, modulo (goes with div) </row>
- <row name="swap%" cname="dom"
- > B % A, modulo (goes with div) </row>
- <row name="rem" cname="rem"
- > A % B, remainder (goes with /) </row>
- <row name="swaprem" cname="mer"
- > B % A, remainder (goes with /) </row>
-
- <row name="gcd" cname="gcd">
- greatest common divisor</row>
-
- <row name="lcm" cname="lcm">
- least common multiple</row>
-
- <!-- bits -->
- <row name="|" cname="or"
- color="bright munchies"
- space="bottomright munchies"
- > A or B, bitwise </row>
- <row name="^" cname="xor"
- color="symmetric munchies (fractal checkers)"
- space="symmetric munchies (fractal checkers)"
- > A xor B, bitwise </row>
- <row name="&amp;" cname="and"
- color="dark munchies"
- space="topleft munchies"
- > A and B, bitwise </row>
- <row name="&lt;&lt;" cname="shl"
- color="like *"
- space="like *"
- > A * (2**(B % 32)), which is left-shifting </row>
- <row name="&gt;&gt;" cname="shr"
- color="like /,div"
- space="like /,div"
- > A / (2**(B % 32)), which is right-shifting </row>
-
- <!-- decision -->
- <row name="||" cname="sc_or"
- > if A is zero then B else A </row>
- <row name="&amp;&amp;" cname="sc_and"
- > if A is zero then zero else B</row>
- <row name="min" cname="min"
- color="clipping"
- space="clipping (of individual points)"
- > the lowest value in A,B </row>
- <row name="max" cname="max"
- color="clipping"
- space="clipping (of individual points)"
- > the highest value in A,B </row>
-
- <!-- comparison -->
- <row name="cmp" cname="cmp"
- > -1 when A&lt;B; 0 when A=B; 1 when A&gt;B. </row>
- <row name="==" cname="eq"
- > is A equal to B ? 1=true, 0=false </row>
- <row name="!=" cname="ne"
- > is A not equal to B ? </row>
- <row name="&gt;" cname="gt"
- > is A greater than B ? </row>
- <row name="&lt;=" cname="le"
- > is A not greater than B ? </row>
- <row name="&lt;" cname="lt"
- > is A less than B ? </row>
- <row name="&gt;=" cname="ge"
- >is A not less than B ? </row>
-
- <!-- trigonometrics and exponentiation -->
- <row name="sin*" cname="sin"
- space="waves, rotations"
- > B * sin(A) </row>
- <row name="cos*" cname="cos"
- space="waves, rotations"
- > B * cos(A) </row>
- <row name="atan" cname="atan"
- space="find angle to origin (part of polar transform)"
- > arctan(A/B) </row>
- <row name="tanh*" cname="tanh"
- color="smooth clipping"
- space="smooth clipping (of individual points), neural sigmoid, fuzzy logic"
- > B * tanh(A) </row>
- <row name="log*" cname="log"
- > B * log(A) (in base e) </row>
- <row name="gamma" cname="gamma"
- color="gamma correction"
- > floor(pow(a/256.0,256.0/b)*256.0) </row>
- <row name="**" cname="pow"
- color="gamma correction"
- > A**B, that is, A raised to power B </row>
-
- <!-- former one-input operators -->
- <row name="abs-" cname="abs"
- > absolute value of (A-B) </row>
- <row name="rand" cname="rand"
- > randomly produces a non-negative number below A </row>
- <row name="sqrt" cname="sqrt"
- > square root of A, rounded downwards </row>
- <row name="sq-" cname="sq"
- > (A-B) times (A-B) </row>
-
- <!-- 0.8.0 -->
- <row name="clip+" cname="clip+"
- > like A+B but overflow causes clipping instead of wrapping around (coming soon) </row>
- <row name="clip-" cname="clip-"
- > like A-B but overflow causes clipping instead of wrapping around (coming soon) </row>
- <row name="avg" cname="avg"
- > (A+B)/2 </row>
- <row name="hypot" cname="hypot"
- > square root of (A*A+B*B) </row>
- <row name="erf*" cname="erf"
- > integral of e^(-x*x) dx ... (coming soon; what ought to be the scaling factor?) </row>
-</table>
-</section>
-
-<!--write-me
-<section name="Programmer-level Overview">
-<p>(this section is for people who want to mess with the internals or at least
-understand them a bit)</p>
-(move this section down?)
-</section>
--->
-
-<section name="Synchronisation">
-<p>In GridFlow you cannot send two grids in different inlets at the
-same time. You have to use <k>[#finished]</k> together with (possibly) <k>[fork]</k> and <k>[#store]</k>,
-which can be cumbersome. If you don't do this, the result is undefined
-behaviour (or crash!).</p>
-
-<p>In GridFlow 0.7.1 this is beginning to change. <k>[#store]</k> and # now allow
-right-inlet grids to be buffered if an operation is occuring on left inlet. This
-should make many circuits simpler.
-</p>
-
-<p>(more to come)</p>
-</section>
-
-<section name="Bridges">
-<p>Starting with version 0.6, GridFlow is Ruby-centric instead of jMax-centric.
-jMax support has been added back as a <b>Bridge</b>.</p>
-
-<p>Bridges, for the most part, plug into the FObject class, which is the common
-root of most of GridFlow's classes. Under the current design, the bridge is
-compiled separately, and is directly loaded by the host software; then the
-bridge starts Ruby and makes it load the main GridFlow; then the bridge hooks
-with the main part.
-</p>
-
-</section>
-
-</documentation>