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processing/core/src/processing/core/PShapeSVG.java at master · dimr/processing · GitHub
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PShapeSVG.java
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/* -*- mode: java; c-basic-offset: 2; indent-tabs-mode: nil -*- */
/*
Part of the Processing project - http://processing.org
Copyright (c) 2012-15 The Processing Foundation
Copyright (c) 2006-12 Ben Fry and Casey Reas
Copyright (c) 2004-06 Michael Chang
This library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License version 2.1 as published by the Free Software Foundation.
This library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General
Public License along with this library; if not, write to the
Free Software Foundation, Inc., 59 Temple Place, Suite 330,
Boston, MA 02111-1307 USA
*/
package
processing
.
core
;
import
processing
.
data
.*;
// TODO replace these with PMatrix2D
import
java
.
awt
.
geom
.
AffineTransform
;
import
java
.
awt
.
geom
.
Point2D
;
import
java
.
util
.
Map
;
import
java
.
util
.
HashMap
;
/**
* This class is not part of the Processing API and should not be used
* directly. Instead, use loadShape() and methods like it, which will make
* use of this class. Using this class directly will cause your code to break
* when combined with future versions of Processing.
* <p>
* SVG stands for Scalable Vector Graphics, a portable graphics format.
* It is a vector format so it allows for "infinite" resolution and relatively
* small file sizes. Most modern media software can view SVG files, including
* Adobe products, Firefox, etc. Illustrator and Inkscape can edit SVG files.
* View the SVG specification <A HREF="http://www.w3.org/TR/SVG">here</A>.
* <p>
* We have no intention of turning this into a full-featured SVG library.
* The goal of this project is a basic shape importer that originally was small
* enough to be included with applets, meaning that its download size should be
* in the neighborhood of 25-30 Kb. Though we're far less limited nowadays on
* size constraints, we remain extremely limited in terms of time, and do not
* have volunteers who are available to maintain a larger SVG library.
* <p>
* For more sophisticated import/export, consider the
* <A HREF="http://xmlgraphics.apache.org/batik/">Batik</A>
* library from the Apache Software Foundation.
* <p>
* Batik is used in the SVG Export library in Processing 3, however using it
* for full SVG import is still a considerable amount of work. Wiring it to
* Java2D wouldn't be too bad, but using it with OpenGL, JavaFX, and features
* like begin/endRecord() and begin/endRaw() would be considerable effort.
* <p>
* Future improvements to this library may focus on this properly supporting
* a specific subset of SVG, for instance the simpler SVG profiles known as
* <A HREF="http://www.w3.org/TR/SVGMobile/">SVG Tiny or Basic</A>,
* although we still would not support the interactivity options.
*
* <p> <hr noshade> <p>
*
* A minimal example program using SVG:
* (assuming a working moo.svg is in your data folder)
*
* <PRE>
* PShape moo;
*
* void setup() {
* size(400, 400);
* moo = loadShape("moo.svg");
* }
* void draw() {
* background(255);
* shape(moo, mouseX, mouseY);
* }
* </PRE>
*/
public
class
PShapeSVG
extends
PShape
{
XML
element
;
/// Values between 0 and 1.
protected
float
opacity
;
float
strokeOpacity
;
float
fillOpacity
;
/** Width of containing SVG (used for percentages). */
protected
float
svgWidth
;
/** Height of containing SVG (used for percentages). */
protected
float
svgHeight
;
/** √((w² + h²)/2) of containing SVG (used for percentages). */
protected
float
svgSizeXY
;
protected
Gradient
strokeGradient
;
String
strokeName
;
// id of another object, gradients only?
protected
Gradient
fillGradient
;
String
fillName
;
// id of another object
/**
* Initializes a new SVG object from the given XML object.
*/
public
PShapeSVG
(
XML
svg
) {
this
(
null
,
svg
,
true
);
if
(!
svg
.
getName
().
equals
(
"svg"
)) {
if
(
svg
.
getName
().
toLowerCase
().
equals
(
"html"
)) {
// Common case is that files aren't downloaded properly
throw
new
RuntimeException
(
"This appears to be a web page, not an SVG file."
);
}
else
{
throw
new
RuntimeException
(
"The root node is not <svg>, it's <"
+
svg
.
getName
() +
">"
);
}
}
}
protected
PShapeSVG
(
PShapeSVG
parent
,
XML
properties
,
boolean
parseKids
) {
setParent
(
parent
);
// Need to get width/height in early.
if
(
properties
.
getName
().
equals
(
"svg"
)) {
String
unitWidth
=
properties
.
getString
(
"width"
);
String
unitHeight
=
properties
.
getString
(
"height"
);
// Can't handle width/height as percentages easily. I'm just going
// to put in 100 as a dummy value, beacuse this means that it will
// come out as a reasonable value.
if
(
unitWidth
!=
null
)
width
=
parseUnitSize
(
unitWidth
,
100
);
if
(
unitHeight
!=
null
)
height
=
parseUnitSize
(
unitHeight
,
100
);
String
viewBoxStr
=
properties
.
getString
(
"viewBox"
);
if
(
viewBoxStr
!=
null
) {
float
[]
viewBox
=
PApplet
.
parseFloat
(
PApplet
.
splitTokens
(
viewBoxStr
));
if
(
unitWidth
==
null
||
unitHeight
==
null
) {
// Not proper parsing of the viewBox, but will cover us for cases where
// the width and height of the object is not specified.
width
=
viewBox
[
2
];
height
=
viewBox
[
3
];
}
else
{
// http://www.w3.org/TR/SVG/coords.html#ViewBoxAttribute
// TODO: preserveAspectRatio.
if
(
matrix
==
null
)
matrix
=
new
PMatrix2D
();
matrix
.
scale
(
width
/
viewBox
[
2
],
height
/
viewBox
[
3
]);
matrix
.
translate
(-
viewBox
[
0
], -
viewBox
[
1
]);
}
}
// Negative size is illegal.
if
(
width
<
0
||
height
<
0
)
throw
new
RuntimeException
(
"<svg>: width ("
+
width
+
") and height ("
+
height
+
") must not be negative."
);
// It's technically valid to have width or height == 0. Not specified at
// all is what to test for.
if
((
unitWidth
==
null
||
unitHeight
==
null
) &&
viewBoxStr
==
null
) {
//throw new RuntimeException("width/height not specified");
PGraphics
.
showWarning
(
"The width and/or height is not "
+
"readable in the <svg> tag of this file."
);
// For the spec, the default is 100% and 100%. For purposes
// here, insert a dummy value because this is prolly just a
// font or something for which the w/h doesn't matter.
width
=
1
;
height
=
1
;
}
svgWidth
=
width
;
svgHeight
=
height
;
svgSizeXY
=
PApplet
.
sqrt
((
svgWidth
*
svgWidth
+
svgHeight
*
svgHeight
)/
2.0f
);
}
element
=
properties
;
name
=
properties
.
getString
(
"id"
);
// @#$(* adobe illustrator mangles names of objects when re-saving
if
(
name
!=
null
) {
while
(
true
) {
String
[]
m
=
PApplet
.
match
(
name
,
"_x([A-Za-z0-9]{2})_"
);
if
(
m
==
null
)
break
;
char
repair
= (
char
)
PApplet
.
unhex
(
m
[
1
]);
name
=
name
.
replace
(
m
[
0
],
""
+
repair
);
}
}
String
displayStr
=
properties
.
getString
(
"display"
,
"inline"
);
visible
= !
displayStr
.
equals
(
"none"
);
String
transformStr
=
properties
.
getString
(
"transform"
);
if
(
transformStr
!=
null
) {
if
(
matrix
==
null
) {
matrix
=
parseTransform
(
transformStr
);
}
else
{
matrix
.
preApply
(
parseTransform
(
transformStr
));
}
}
if
(
parseKids
) {
parseColors
(
properties
);
parseChildren
(
properties
);
}
}
// Broken out so that subclasses can copy any additional variables
// (i.e. fillGradientPaint and strokeGradientPaint)
protected
void
setParent
(
PShapeSVG
parent
) {
// Need to set this so that findChild() works.
// Otherwise 'parent' is null until addChild() is called later.
this
.
parent
=
parent
;
if
(
parent
==
null
) {
// set values to their defaults according to the SVG spec
stroke
=
false
;
strokeColor
=
0xff000000
;
strokeWeight
=
1
;
strokeCap
=
PConstants
.
SQUARE
;
// equivalent to BUTT in svg spec
strokeJoin
=
PConstants
.
MITER
;
strokeGradient
=
null
;
// strokeGradientPaint = null;
strokeName
=
null
;
fill
=
true
;
fillColor
=
0xff000000
;
fillGradient
=
null
;
// fillGradientPaint = null;
fillName
=
null
;
//hasTransform = false;
//transformation = null; //new float[] { 1, 0, 0, 1, 0, 0 };
// svgWidth, svgHeight, and svgXYSize done below.
strokeOpacity
=
1
;
fillOpacity
=
1
;
opacity
=
1
;
}
else
{
stroke
=
parent
.
stroke
;
strokeColor
=
parent
.
strokeColor
;
strokeWeight
=
parent
.
strokeWeight
;
strokeCap
=
parent
.
strokeCap
;
strokeJoin
=
parent
.
strokeJoin
;
strokeGradient
=
parent
.
strokeGradient
;
// strokeGradientPaint = parent.strokeGradientPaint;
strokeName
=
parent
.
strokeName
;
fill
=
parent
.
fill
;
fillColor
=
parent
.
fillColor
;
fillGradient
=
parent
.
fillGradient
;
// fillGradientPaint = parent.fillGradientPaint;
fillName
=
parent
.
fillName
;
svgWidth
=
parent
.
svgWidth
;
svgHeight
=
parent
.
svgHeight
;
svgSizeXY
=
parent
.
svgSizeXY
;
opacity
=
parent
.
opacity
;
}
// The rect and ellipse modes are set to CORNER since it is the expected
// mode for svg shapes.
rectMode
=
CORNER
;
ellipseMode
=
CORNER
;
}
/** Factory method for subclasses. */
protected
PShapeSVG
createShape
(
PShapeSVG
parent
,
XML
properties
,
boolean
parseKids
) {
return
new
PShapeSVG
(
parent
,
properties
,
parseKids
);
}
protected
void
parseChildren
(
XML
graphics
) {
XML
[]
elements
=
graphics
.
getChildren
();
children
=
new
PShape
[
elements
.
length
];
childCount
=
0
;
for
(
XML
elem
:
elements
) {
PShape
kid
=
parseChild
(
elem
);
if
(
kid
!=
null
)
addChild
(
kid
);
}
children
= (
PShape
[])
PApplet
.
subset
(
children
,
0
,
childCount
);
}
/**
* Parse a child XML element.
* Override this method to add parsing for more SVG elements.
*/
protected
PShape
parseChild
(
XML
elem
) {
// System.err.println("parsing child in pshape " + elem.getName());
String
name
=
elem
.
getName
();
PShapeSVG
shape
=
null
;
if
(
name
==
null
) {
// just some whitespace that can be ignored (hopefully)
}
else
if
(
name
.
equals
(
"g"
)) {
shape
=
createShape
(
this
,
elem
,
true
);
}
else
if
(
name
.
equals
(
"defs"
)) {
// generally this will contain gradient info, so may
// as well just throw it into a group element for parsing
shape
=
createShape
(
this
,
elem
,
true
);
}
else
if
(
name
.
equals
(
"line"
)) {
shape
=
createShape
(
this
,
elem
,
true
);
shape
.
parseLine
();
}
else
if
(
name
.
equals
(
"circle"
)) {
shape
=
createShape
(
this
,
elem
,
true
);
shape
.
parseEllipse
(
true
);
}
else
if
(
name
.
equals
(
"ellipse"
)) {
shape
=
createShape
(
this
,
elem
,
true
);
shape
.
parseEllipse
(
false
);
}
else
if
(
name
.
equals
(
"rect"
)) {
shape
=
createShape
(
this
,
elem
,
true
);
shape
.
parseRect
();
}
else
if
(
name
.
equals
(
"polygon"
)) {
shape
=
createShape
(
this
,
elem
,
true
);
shape
.
parsePoly
(
true
);
}
else
if
(
name
.
equals
(
"polyline"
)) {
shape
=
createShape
(
this
,
elem
,
true
);
shape
.
parsePoly
(
false
);
}
else
if
(
name
.
equals
(
"path"
)) {
shape
=
createShape
(
this
,
elem
,
true
);
shape
.
parsePath
();
}
else
if
(
name
.
equals
(
"radialGradient"
)) {
return
new
RadialGradient
(
this
,
elem
);
}
else
if
(
name
.
equals
(
"linearGradient"
)) {
return
new
LinearGradient
(
this
,
elem
);
}
else
if
(
name
.
equals
(
"font"
)) {
return
new
Font
(
this
,
elem
);
// } else if (name.equals("font-face")) {
// return new FontFace(this, elem);
// } else if (name.equals("glyph") || name.equals("missing-glyph")) {
// return new FontGlyph(this, elem);
}
else
if
(
name
.
equals
(
"text"
)) {
// || name.equals("font")) {
PGraphics
.
showWarning
(
"Text and fonts in SVG files are "
+
"not currently supported, convert text to outlines instead."
);
}
else
if
(
name
.
equals
(
"filter"
)) {
PGraphics
.
showWarning
(
"Filters are not supported."
);
}
else
if
(
name
.
equals
(
"mask"
)) {
PGraphics
.
showWarning
(
"Masks are not supported."
);
}
else
if
(
name
.
equals
(
"pattern"
)) {
PGraphics
.
showWarning
(
"Patterns are not supported."
);
}
else
if
(
name
.
equals
(
"stop"
)) {
// stop tag is handled by gradient parser, so don't warn about it
}
else
if
(
name
.
equals
(
"sodipodi:namedview"
)) {
// these are always in Inkscape files, the warnings get tedious
}
else
if
(
name
.
equals
(
"metadata"
)
||
name
.
equals
(
"title"
) ||
name
.
equals
(
"desc"
)) {
// fontforge just stuffs <metadata> in as a comment.
// All harmless stuff, irrelevant to rendering.
return
null
;
}
else
if
(!
name
.
startsWith
(
"#"
)) {
PGraphics
.
showWarning
(
"Ignoring <"
+
name
+
"> tag."
);
// new Exception().printStackTrace();
}
return
shape
;
}
protected
void
parseLine
() {
kind
=
LINE
;
family
=
PRIMITIVE
;
params
=
new
float
[] {
getFloatWithUnit
(
element
,
"x1"
,
svgWidth
),
getFloatWithUnit
(
element
,
"y1"
,
svgHeight
),
getFloatWithUnit
(
element
,
"x2"
,
svgWidth
),
getFloatWithUnit
(
element
,
"y2"
,
svgHeight
)
};
}
/**
* Handles parsing ellipse and circle tags.
* @param circle true if this is a circle and not an ellipse
*/
protected
void
parseEllipse
(
boolean
circle
) {
kind
=
ELLIPSE
;
family
=
PRIMITIVE
;
params
=
new
float
[
4
];
params
[
0
] =
getFloatWithUnit
(
element
,
"cx"
,
svgWidth
);
params
[
1
] =
getFloatWithUnit
(
element
,
"cy"
,
svgHeight
);
float
rx
,
ry
;
if
(
circle
) {
rx
=
ry
=
getFloatWithUnit
(
element
,
"r"
,
svgSizeXY
);
}
else
{
rx
=
getFloatWithUnit
(
element
,
"rx"
,
svgWidth
);
ry
=
getFloatWithUnit
(
element
,
"ry"
,
svgHeight
);
}
params
[
0
] -=
rx
;
params
[
1
] -=
ry
;
params
[
2
] =
rx
*
2
;
params
[
3
] =
ry
*
2
;
}
protected
void
parseRect
() {
kind
=
RECT
;
family
=
PRIMITIVE
;
params
=
new
float
[] {
getFloatWithUnit
(
element
,
"x"
,
svgWidth
),
getFloatWithUnit
(
element
,
"y"
,
svgHeight
),
getFloatWithUnit
(
element
,
"width"
,
svgWidth
),
getFloatWithUnit
(
element
,
"height"
,
svgHeight
)
};
}
/**
* Parse a polyline or polygon from an SVG file.
* Syntax defined at http://www.w3.org/TR/SVG/shapes.html#PointsBNF
* @param close true if shape is closed (polygon), false if not (polyline)
*/
protected
void
parsePoly
(
boolean
close
) {
family
=
PATH
;
this
.
close
=
close
;
String
pointsAttr
=
element
.
getString
(
"points"
);
if
(
pointsAttr
!=
null
) {
String
[]
pointsBuffer
=
PApplet
.
splitTokens
(
pointsAttr
);
vertexCount
=
pointsBuffer
.
length
;
vertices
=
new
float
[
vertexCount
][
2
];
for
(
int
i
=
0
;
i
<
vertexCount
;
i
++) {
String
pb
[] =
PApplet
.
splitTokens
(
pointsBuffer
[
i
],
",
\t
\r
\n
"
);
vertices
[
i
][
X
] =
Float
.
parseFloat
(
pb
[
0
]);
vertices
[
i
][
Y
] =
Float
.
parseFloat
(
pb
[
1
]);
}
}
}
protected
void
parsePath
() {
family
=
PATH
;
kind
=
0
;
String
pathData
=
element
.
getString
(
"d"
);
if
(
pathData
==
null
||
PApplet
.
trim
(
pathData
).
length
() ==
0
) {
return
;
}
char
[]
pathDataChars
=
pathData
.
toCharArray
();
StringBuilder
pathBuffer
=
new
StringBuilder
();
boolean
lastSeparate
=
false
;
for
(
int
i
=
0
;
i
<
pathDataChars
.
length
;
i
++) {
char
c
=
pathDataChars
[
i
];
boolean
separate
=
false
;
if
(
c
==
'M'
||
c
==
'm'
||
c
==
'L'
||
c
==
'l'
||
c
==
'H'
||
c
==
'h'
||
c
==
'V'
||
c
==
'v'
||
c
==
'C'
||
c
==
'c'
||
// beziers
c
==
'S'
||
c
==
's'
||
c
==
'Q'
||
c
==
'q'
||
// quadratic beziers
c
==
'T'
||
c
==
't'
||
c
==
'A'
||
c
==
'a'
||
// elliptical arc
c
==
'Z'
||
c
==
'z'
||
// closepath
c
==
','
) {
separate
=
true
;
if
(
i
!=
0
) {
pathBuffer
.
append
(
"|"
);
}
}
if
(
c
==
'Z'
||
c
==
'z'
) {
separate
=
false
;
}
if
(
c
==
'-'
&& !
lastSeparate
) {
// allow for 'e' notation in numbers, e.g. 2.10e-9
// http://dev.processing.org/bugs/show_bug.cgi?id=1408
if
(
i
==
0
||
pathDataChars
[
i
-
1
] !=
'e'
) {
pathBuffer
.
append
(
"|"
);
}
}
if
(
c
!=
','
) {
pathBuffer
.
append
(
c
);
//"" + pathDataBuffer.charAt(i));
}
if
(
separate
&&
c
!=
','
&&
c
!=
'-'
) {
pathBuffer
.
append
(
"|"
);
}
lastSeparate
=
separate
;
}
// use whitespace constant to get rid of extra spaces and CR or LF
String
[]
pathTokens
=
PApplet
.
splitTokens
(
pathBuffer
.
toString
(),
"|"
+
WHITESPACE
);
vertices
=
new
float
[
pathTokens
.
length
][
2
];
vertexCodes
=
new
int
[
pathTokens
.
length
];
float
cx
=
0
;
float
cy
=
0
;
int
i
=
0
;
char
implicitCommand
=
'\0'
;
// char prevCommand = '\0';
boolean
prevCurve
=
false
;
float
ctrlX
,
ctrlY
;
// store values for closepath so that relative coords work properly
float
movetoX
=
0
;
float
movetoY
=
0
;
while
(
i
<
pathTokens
.
length
) {
char
c
=
pathTokens
[
i
].
charAt
(
0
);
if
(((
c
>=
'0'
&&
c
<=
'9'
) || (
c
==
'-'
)) &&
implicitCommand
!=
'\0'
) {
c
=
implicitCommand
;
i
--;
}
else
{
implicitCommand
=
c
;
}
switch
(
c
) {
case
'M'
:
// M - move to (absolute)
cx
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
1
]);
cy
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
2
]);
movetoX
=
cx
;
movetoY
=
cy
;
parsePathMoveto
(
cx
,
cy
);
implicitCommand
=
'L'
;
i
+=
3
;
break
;
case
'm'
:
// m - move to (relative)
cx
=
cx
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
1
]);
cy
=
cy
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
2
]);
movetoX
=
cx
;
movetoY
=
cy
;
parsePathMoveto
(
cx
,
cy
);
implicitCommand
=
'l'
;
i
+=
3
;
break
;
case
'L'
:
cx
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
1
]);
cy
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
2
]);
parsePathLineto
(
cx
,
cy
);
i
+=
3
;
break
;
case
'l'
:
cx
=
cx
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
1
]);
cy
=
cy
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
2
]);
parsePathLineto
(
cx
,
cy
);
i
+=
3
;
break
;
// horizontal lineto absolute
case
'H'
:
cx
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
1
]);
parsePathLineto
(
cx
,
cy
);
i
+=
2
;
break
;
// horizontal lineto relative
case
'h'
:
cx
=
cx
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
1
]);
parsePathLineto
(
cx
,
cy
);
i
+=
2
;
break
;
case
'V'
:
cy
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
1
]);
parsePathLineto
(
cx
,
cy
);
i
+=
2
;
break
;
case
'v'
:
cy
=
cy
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
1
]);
parsePathLineto
(
cx
,
cy
);
i
+=
2
;
break
;
// C - curve to (absolute)
case
'C'
: {
float
ctrlX1
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
1
]);
float
ctrlY1
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
2
]);
float
ctrlX2
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
3
]);
float
ctrlY2
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
4
]);
float
endX
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
5
]);
float
endY
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
6
]);
parsePathCurveto
(
ctrlX1
,
ctrlY1
,
ctrlX2
,
ctrlY2
,
endX
,
endY
);
cx
=
endX
;
cy
=
endY
;
i
+=
7
;
prevCurve
=
true
;
}
break
;
// c - curve to (relative)
case
'c'
: {
float
ctrlX1
=
cx
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
1
]);
float
ctrlY1
=
cy
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
2
]);
float
ctrlX2
=
cx
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
3
]);
float
ctrlY2
=
cy
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
4
]);
float
endX
=
cx
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
5
]);
float
endY
=
cy
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
6
]);
parsePathCurveto
(
ctrlX1
,
ctrlY1
,
ctrlX2
,
ctrlY2
,
endX
,
endY
);
cx
=
endX
;
cy
=
endY
;
i
+=
7
;
prevCurve
=
true
;
}
break
;
// S - curve to shorthand (absolute)
// Draws a cubic Bézier curve from the current point to (x,y). The first
// control point is assumed to be the reflection of the second control
// point on the previous command relative to the current point.
// (x2,y2) is the second control point (i.e., the control point
// at the end of the curve). S (uppercase) indicates that absolute
// coordinates will follow; s (lowercase) indicates that relative
// coordinates will follow. Multiple sets of coordinates may be specified
// to draw a polybézier. At the end of the command, the new current point
// becomes the final (x,y) coordinate pair used in the polybézier.
case
'S'
: {
// (If there is no previous command or if the previous command was not
// an C, c, S or s, assume the first control point is coincident with
// the current point.)
if
(!
prevCurve
) {
ctrlX
=
cx
;
ctrlY
=
cy
;
}
else
{
float
ppx
=
vertices
[
vertexCount
-
2
][
X
];
float
ppy
=
vertices
[
vertexCount
-
2
][
Y
];
float
px
=
vertices
[
vertexCount
-
1
][
X
];
float
py
=
vertices
[
vertexCount
-
1
][
Y
];
ctrlX
=
px
+ (
px
-
ppx
);
ctrlY
=
py
+ (
py
-
ppy
);
}
float
ctrlX2
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
1
]);
float
ctrlY2
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
2
]);
float
endX
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
3
]);
float
endY
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
4
]);
parsePathCurveto
(
ctrlX
,
ctrlY
,
ctrlX2
,
ctrlY2
,
endX
,
endY
);
cx
=
endX
;
cy
=
endY
;
i
+=
5
;
prevCurve
=
true
;
}
break
;
// s - curve to shorthand (relative)
case
's'
: {
if
(!
prevCurve
) {
ctrlX
=
cx
;
ctrlY
=
cy
;
}
else
{
float
ppx
=
vertices
[
vertexCount
-
2
][
X
];
float
ppy
=
vertices
[
vertexCount
-
2
][
Y
];
float
px
=
vertices
[
vertexCount
-
1
][
X
];
float
py
=
vertices
[
vertexCount
-
1
][
Y
];
ctrlX
=
px
+ (
px
-
ppx
);
ctrlY
=
py
+ (
py
-
ppy
);
}
float
ctrlX2
=
cx
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
1
]);
float
ctrlY2
=
cy
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
2
]);
float
endX
=
cx
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
3
]);
float
endY
=
cy
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
4
]);
parsePathCurveto
(
ctrlX
,
ctrlY
,
ctrlX2
,
ctrlY2
,
endX
,
endY
);
cx
=
endX
;
cy
=
endY
;
i
+=
5
;
prevCurve
=
true
;
}
break
;
// Q - quadratic curve to (absolute)
// Draws a quadratic Bézier curve from the current point to (x,y) using
// (x1,y1) as the control point. Q (uppercase) indicates that absolute
// coordinates will follow; q (lowercase) indicates that relative
// coordinates will follow. Multiple sets of coordinates may be specified
// to draw a polybézier. At the end of the command, the new current point
// becomes the final (x,y) coordinate pair used in the polybézier.
case
'Q'
: {
ctrlX
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
1
]);
ctrlY
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
2
]);
float
endX
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
3
]);
float
endY
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
4
]);
//parsePathQuadto(cx, cy, ctrlX, ctrlY, endX, endY);
parsePathQuadto
(
ctrlX
,
ctrlY
,
endX
,
endY
);
cx
=
endX
;
cy
=
endY
;
i
+=
5
;
prevCurve
=
true
;
}
break
;
// q - quadratic curve to (relative)
case
'q'
: {
ctrlX
=
cx
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
1
]);
ctrlY
=
cy
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
2
]);
float
endX
=
cx
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
3
]);
float
endY
=
cy
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
4
]);
//parsePathQuadto(cx, cy, ctrlX, ctrlY, endX, endY);
parsePathQuadto
(
ctrlX
,
ctrlY
,
endX
,
endY
);
cx
=
endX
;
cy
=
endY
;
i
+=
5
;
prevCurve
=
true
;
}
break
;
// T - quadratic curveto shorthand (absolute)
// The control point is assumed to be the reflection of the control
// point on the previous command relative to the current point.
case
'T'
: {
// If there is no previous command or if the previous command was
// not a Q, q, T or t, assume the control point is coincident
// with the current point.
if
(!
prevCurve
) {
ctrlX
=
cx
;
ctrlY
=
cy
;
}
else
{
float
ppx
=
vertices
[
vertexCount
-
2
][
X
];
float
ppy
=
vertices
[
vertexCount
-
2
][
Y
];
float
px
=
vertices
[
vertexCount
-
1
][
X
];
float
py
=
vertices
[
vertexCount
-
1
][
Y
];
ctrlX
=
px
+ (
px
-
ppx
);
ctrlY
=
py
+ (
py
-
ppy
);
}
float
endX
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
1
]);
float
endY
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
2
]);
//parsePathQuadto(cx, cy, ctrlX, ctrlY, endX, endY);
parsePathQuadto
(
ctrlX
,
ctrlY
,
endX
,
endY
);
cx
=
endX
;
cy
=
endY
;
i
+=
3
;
prevCurve
=
true
;
}
break
;
// t - quadratic curveto shorthand (relative)
case
't'
: {
if
(!
prevCurve
) {
ctrlX
=
cx
;
ctrlY
=
cy
;
}
else
{
float
ppx
=
vertices
[
vertexCount
-
2
][
X
];
float
ppy
=
vertices
[
vertexCount
-
2
][
Y
];
float
px
=
vertices
[
vertexCount
-
1
][
X
];
float
py
=
vertices
[
vertexCount
-
1
][
Y
];
ctrlX
=
px
+ (
px
-
ppx
);
ctrlY
=
py
+ (
py
-
ppy
);
}
float
endX
=
cx
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
1
]);
float
endY
=
cy
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
2
]);
//parsePathQuadto(cx, cy, ctrlX, ctrlY, endX, endY);
parsePathQuadto
(
ctrlX
,
ctrlY
,
endX
,
endY
);
cx
=
endX
;
cy
=
endY
;
i
+=
3
;
prevCurve
=
true
;
}
break
;
// A - elliptical arc to (absolute)
case
'A'
: {
float
rx
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
1
]);
float
ry
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
2
]);
float
angle
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
3
]);
boolean
fa
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
4
]) !=
0
;
boolean
fs
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
5
]) !=
0
;
float
endX
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
6
]);
float
endY
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
7
]);
parsePathArcto
(
cx
,
cy
,
rx
,
ry
,
angle
,
fa
,
fs
,
endX
,
endY
);
cx
=
endX
;
cy
=
endY
;
i
+=
8
;
prevCurve
=
true
;
}
break
;
// a - elliptical arc to (relative)
case
'a'
: {
float
rx
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
1
]);
float
ry
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
2
]);
float
angle
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
3
]);
boolean
fa
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
4
]) !=
0
;
boolean
fs
=
PApplet
.
parseFloat
(
pathTokens
[
i
+
5
]) !=
0
;
float
endX
=
cx
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
6
]);
float
endY
=
cy
+
PApplet
.
parseFloat
(
pathTokens
[
i
+
7
]);
parsePathArcto
(
cx
,
cy
,
rx
,
ry
,
angle
,
fa
,
fs
,
endX
,
endY
);
cx
=
endX
;
cy
=
endY
;
i
+=
8
;
prevCurve
=
true
;
}
break
;
case
'Z'
:
case
'z'
:
// since closing the path, the 'current' point needs
// to return back to the last moveto location.
// http://code.google.com/p/processing/issues/detail?id=1058
cx
=
movetoX
;
cy
=
movetoY
;
close
=
true
;
i
++;
break
;
default
:
String
parsed
=
PApplet
.
join
(
PApplet
.
subset
(
pathTokens
,
0
,
i
),
","
);
String
unparsed
=
PApplet
.
join
(
PApplet
.
subset
(
pathTokens
,
i
),
","
);
System
.
err
.
println
(
"parsed: "
+
parsed
);
System
.
err
.
println
(
"unparsed: "
+
unparsed
);
throw
new
RuntimeException
(
"shape command not handled: "
+
pathTokens
[
i
]);
}
// prevCommand = c;
}
}
// private void parsePathCheck(int num) {
// if (vertexCount + num-1 >= vertices.length) {
// //vertices = (float[][]) PApplet.expand(vertices);
// float[][] temp = new float[vertexCount << 1][2];
// System.arraycopy(vertices, 0, temp, 0, vertexCount);
// vertices = temp;
// }
// }
private
void
parsePathVertex
(
float
x
,
float
y
) {
if
(
vertexCount
==
vertices
.
length
) {
//vertices = (float[][]) PApplet.expand(vertices);
float
[][]
temp
=
new
float
[
vertexCount
<<
1
][
2
];
System
.
arraycopy
(
vertices
,
0
,
temp
,
0
,
vertexCount
);
vertices
=
temp
;
}
vertices
[
vertexCount
][
X
] =
x
;
vertices
[
vertexCount
][
Y
] =
y
;
vertexCount
++;
}
private
void
parsePathCode
(
int
what
) {
if
(
vertexCodeCount
==
vertexCodes
.
length
) {
vertexCodes
=
PApplet
.
expand
(
vertexCodes
);
}
vertexCodes
[
vertexCodeCount
++] =
what
;
}
private
void
parsePathMoveto
(
float
px
,
float
py
) {
if
(
vertexCount
>
0
) {
parsePathCode
(
BREAK
);
}
parsePathCode
(
VERTEX
);
parsePathVertex
(
px
,
py
);
}
private
void
parsePathLineto
(
float
px
,
float
py
) {
parsePathCode
(
VERTEX
);
parsePathVertex
(
px
,
py
);
}
private
void
parsePathCurveto
(
float
x1
,
float
y1
,
float
x2
,
float
y2
,
float
x3
,
float
y3
) {
parsePathCode
(
BEZIER_VERTEX
);
parsePathVertex
(
x1
,
y1
);
parsePathVertex
(
x2
,
y2
);
parsePathVertex
(
x3
,
y3
);
}
// private void parsePathQuadto(float x1, float y1,
// float cx, float cy,
// float x2, float y2) {
// //System.out.println("quadto: " + x1 + "," + y1 + " " + cx + "," + cy + " " + x2 + "," + y2);
//// parsePathCode(BEZIER_VERTEX);
// parsePathCode(QUAD_BEZIER_VERTEX);
// // x1/y1 already covered by last moveto, lineto, or curveto
//
// parsePathVertex(x1 + ((cx-x1)*2/3.0f), y1 + ((cy-y1)*2/3.0f));
// parsePathVertex(x2 + ((cx-x2)*2/3.0f), y2 + ((cy-y2)*2/3.0f));
// parsePathVertex(x2, y2);
// }
private
void
parsePathQuadto
(
float
cx
,
float
cy
,
float
x2
,
float
y2
) {
//System.out.println("quadto: " + x1 + "," + y1 + " " + cx + "," + cy + " " + x2 + "," + y2);
// parsePathCode(BEZIER_VERTEX);
parsePathCode
(
QUADRATIC_VERTEX
);
// x1/y1 already covered by last moveto, lineto, or curveto
parsePathVertex
(
cx
,
cy
);
parsePathVertex
(
x2
,
y2
);
}
// Approximates elliptical arc by several bezier segments.
// Meets SVG standard requirements from:
// http://www.w3.org/TR/SVG/paths.html#PathDataEllipticalArcCommands
// http://www.w3.org/TR/SVG/implnote.html#ArcImplementationNotes
// Based on arc to bezier curve equations from:
// http://www.spaceroots.org/documents/ellipse/node22.html
private
void
parsePathArcto
(
float
x1
,
float
y1
,
float
rx
,
float
ry
,
float
angle
,
boolean
fa
,
boolean
fs
,
float
x2
,
float
y2
) {
if
(
x1
==
x2
&&
y1
==
y2
)
return
;
if
(
rx
==
0
||
ry
==
0
) {
parsePathLineto
(
x2
,
y2
);
return
; }
rx
=
PApplet
.
abs
(
rx
);
ry
=
PApplet
.
abs
(
ry
);
float
phi
=
PApplet
.
radians
(((
angle
%
360
) +
360
) %
360
);
float
cosPhi
=
PApplet
.
cos
(
phi
),
sinPhi
=
PApplet
.
sin
(
phi
);
float
x1r
= (
cosPhi
* (
x1
-
x2
) +
sinPhi
* (
y1
-
y2
)) /
2
;
float
y1r
= (-
sinPhi
* (
x1
-
x2
) +
cosPhi
* (
y1
-
y2
)) /
2
;
float
cxr
,
cyr
;
{
float
A
= (
x1r
*
x1r
) / (
rx
*
rx
) + (
y1r
*
y1r
) / (
ry
*
ry
);
if
(
A
>
1
) {
// No solution, scale ellipse up according to SVG standard
float
sqrtA
=
PApplet
.
sqrt
(
A
);
rx
*=
sqrtA
;
cxr
=
0
;
ry
*=
sqrtA
;
cyr
=
0
;
}
else
{
float
k
= ((
fa
==
fs
) ? -
1f
:
1f
) *
PApplet
.
sqrt
((
rx
*
rx
*
ry
*
ry
) / ((
rx
*
rx
*
y1r
*
y1r
) + (
ry
*
ry
*
x1r
*
x1r
)) -
1f
);
cxr
=
k
*
rx
*
y1r
/
ry
;
cyr
= -
k
*
ry
*
x1r
/
rx
;
}
}
float
cx
=
cosPhi
*
cxr
-
sinPhi
*
cyr
+ (
x1
+
x2
) /
2
;
float
cy
=
sinPhi
*
cxr
+
cosPhi
*
cyr
+ (
y1
+
y2
) /
2
;
float
phi1
,
phiDelta
;
{
float
sx
= (
x1r
-
cxr
) /
rx
,
sy
= (
y1r
-
cyr
) /
ry
;
float
tx
= (-
x1r
-
cxr
) /
rx
,
ty
= (-
y1r
-
cyr
) /
ry
;
phi1
=
PApplet
.
atan2
(
sy
,
sx
);
phiDelta
= (((
PApplet
.
atan2
(
ty
,
tx
) -
phi1
) %
TWO_PI
) +
TWO_PI
) %
TWO_PI
;
if
(!
fs
)
phiDelta
-=
TWO_PI
;
}
// One segment can not cover more that PI, less than PI/2 is
// recommended to avoid visible inaccuracies caused by rounding errors
int
segmentCount
=
PApplet
.
ceil
(
PApplet
.
abs
(
phiDelta
) /
TWO_PI
*
4
);
float
inc
=
phiDelta
/
segmentCount
;
float
a
=
PApplet
.
sin
(
inc
) *
(
PApplet
.
sqrt
(
4
+
3
*
PApplet
.
sq
(
PApplet
.
tan
(
inc
/
2
))) -
1
) /
3
;
float
sinPhi1
=
PApplet
.
sin
(
phi1
),
cosPhi1
=
PApplet
.
cos
(
phi1
);
float
p1x
=
x1
;
float
p1y
=
y1
;
float
relq1x
=
a
* (-
rx
*
cosPhi
*
sinPhi1
-
ry
*
sinPhi
*
cosPhi1
);
float
relq1y
=
a
* (-
rx
*
sinPhi
*
sinPhi1
+
ry
*
cosPhi
*
cosPhi1
);
for
(
int
i
=
0
;
i
<
segmentCount
;
i
++) {
float
eta
=
phi1
+ (
i
+
1
) *
inc
;
float
sinEta
=
PApplet
.
sin
(
eta
),
cosEta
=
PApplet
.
cos
(
eta
);
float
p2x
=
cx
+
rx
*
cosPhi
*
cosEta
-
ry
*
sinPhi
*
sinEta
;
float
p2y
=
cy
+
rx
*
sinPhi
*
cosEta
+
ry
*
cosPhi
*
sinEta
;
float
relq2x
=
a
* (-
rx
*
cosPhi
*
sinEta
-
ry
*
sinPhi
*
cosEta
);
float
relq2y
=
a
* (-
rx
*
sinPhi
*
sinEta
+
ry
*
cosPhi
*
cosEta
);
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