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Creating a brush stroke effect - part 1

Creating a brush stroke effect - part 1

Please see http://8pen.com/blog/doodle for a more complete explanation of how we built the brush stroke

The construction of the brush stroke is done in four steps:

  • create regularly spaced vertices describing the brush stroke centerline
  • compute the normal vectors at each point
  • extrude the ribbon
  • scale the ribbon to create a bulge around the midpoint

Please see bl.ocks.org/5927457 for the brush construction code.

<!DOCTYPE html>
<html lang="en">
<head>
<title>8pen doodle</title>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<link href="style.css" rel="stylesheet" type="text/css">
<script src="vendor-jquery-1.10.0.min.js"></script>
<script src="vendor-d3.v3.min.js" charset="utf-8"></script>
<script src="vendor-coffee-script.js"></script>
<script src="script.coffee" type="text/coffeescript"></script>
</head>
<body>
<div id="container">
<svg id="brush-explanation">
<defs>
<marker id='arrow' viewBox='0 -5 10 10'
refX='10' refY='0'
markerWidth='6' markerHeight='6'
orient='auto'>
<path
d='M 0,-5 L 10,0 L 0,5'
stroke='red'fill='none' />
</marker>
</defs>
<g transform='translate(200,150)'>
<text id='step-1' class='step-explanation' dy='00'>1. Compute the centerline points</text>
<text id='step-2' class='step-explanation' dy='18'>2. Compute the normal vectors</text>
<text id='step-3' class='step-explanation' dy='36'>3. Extrude the ribbon along the normal vectors</text>
<text id='step-4' class='step-explanation' dy='54'>4. Rescale the ribbon to create a bulge</text>
</g>
</svg>
</div>
</body>
</html>
# Very simple vector class
class Vec
constructor: (@x, @y) ->
# Allow a call to Vec(other_vec)
if @y is undefined
@y = @x.y
@x = @x.x
copy: () -> new Vec(@x, @y)
add: (v) -> new Vec(@x + v.x, @y + v.y)
addInPlace: (v) ->
@x += v.x
@y += v.y
return @
sub: (v) -> new Vec(@x - v.x, @y - v.y)
subInPlace: (v) ->
@x -= v.x
@y -= v.y
return @
scale: (x) -> new Vec(x * @x, x * @y)
scaleInPlace: (x) ->
@x *= x
@y *= x
return @
scalar: (v) -> @x*v.x + @y*v.y
rotate: (theta) ->
ct = Math.cos(theta)
st = Math.sin(theta)
new Vec(ct*@x + st*@y, -st*@x + ct*@y)
rotateInPlace: (theta) ->
ct = Math.cos(theta)
st = Math.sin(theta)
x = ct * @x + st * @y
y = -st * @x + ct * @y
@x = x
@y = y
return @
norm: () -> Math.sqrt(@x*@x + @y*@y)
normSquared: () -> @x*@x + @y*@y
perpendicular: () -> new Vec(-@y, @x) # vec.rotate(Math.PI / 2)
perpendicularInPlace: () ->
[@x, @y] = [-@y, @x]
return @
normalizeTo: (a) ->
norm = @norm()
if norm < 1e-5
new Vec(0, 0)
else
s = a/norm
new Vec(@x*s, @y*s)
normalizeToInPlace: (a) ->
norm = @norm()
if norm < 1e-5
return @ # Vec = 0
else
s = a/norm
@x *= s
@y *= s
return @
normalized: () -> @normalizeTo(1.0)
normalizedInPlace: () -> @normalizeToInPlace(1.0)
@random: (alpha) ->
new Vec(alpha*(Math.random()-0.5), alpha*(Math.random()-0.5))
###
* Creates an SVG path description from an array of vectors
* @param {Vec[]} seq - The array of Vec representing the path
###
window.pathStringFromVecSequence = (seq) ->
'M'+(v.x+','+v.y for v in seq).join('L')
class BrushConstructionFigure
constructor: (id, @w=500, @h=120) ->
@svg = d3.select(id)
.attr('viewBox', "0 0 #{@w} #{@h}")
.attr('width', '100%')
.attr('height', '100%')
@animating = false
# Restart the animation when clicked after the animation has completed
@svg.on('click', () => @restartAnimation() if !@animating)
@createAnimation()
@restartAnimation()
# Compute the position of the various animation elements
createAnimation: () =>
N = 15 # number of points
unitNorm = @h/6
init_p = new Vec(@w/10, @h/2) # first point on the brush
@points = [] # create a sinusoidal brush centerline
for i in [0..N]
# @points[i] = init_p + (i * ... , sin(i*...))
@points.push(init_p.add(
new Vec(i * 0.8 * @w / (N-1),
Math.sin(2 * Math.PI * i / (N-1)) * @h / 5)))
# Compute normal vectors in order to create the ribbon
@speedVecs = (@points[i+1].sub(@points[i]) for i in [0...@points.length-1])
@speedVecs.push(@speedVecs[@speedVecs.length-1]) # repeat the last speed vector for the last point
@normalVecs = (v.copy().normalizeToInPlace(unitNorm).rotateInPlace(Math.PI/2) for v in @speedVecs)
# Create the uniform-width ribbon
@ribbonUniformPosTop = (@points[i].add(@normalVecs[i]) for i in [0...@normalVecs.length])
@ribbonUniformPosBottom = (@points[i].sub(@normalVecs[i]) for i in [0...@normalVecs.length])
# Add a bulge (the ribbon is thinner in the ends, and larger at its midpoint)
bulge = (i) =>
a = 0.05 + 1.1 * (1.0 - Math.abs(i/((@points.length-1)/2) - 1.0))
return a * unitNorm
# Create the bulged ribbon
@ribbonBulgedPosTop = (@points[i].add(@normalVecs[i].normalizeTo(bulge(i))) for i in [0...@normalVecs.length])
@ribbonBulgedPosBottom = (@points[i].sub(@normalVecs[i].normalizeTo(bulge(i))) for i in [0...@normalVecs.length])
# Create the ribbon area by concatenating both ribbons
@contour = @ribbonBulgedPosTop.slice().reverse().concat(@ribbonBulgedPosBottom)
# Extract the points that we will use to highlight the speed vector
@p0 = @points[4]
@p1 = @points[5]
@speedVector = [new Vec(0, 0), @p1.sub(@p0)]
@speedVectorUnit = [new Vec(0, 0), @p1.sub(@p0).normalizeToInPlace(unitNorm)]
restartAnimation: () =>
@animating = true
# Remove all the components of the animation
@svg.select('g.animation').remove()
# Create a new layer & add components in the correct z-order
@g = @svg.append('g').attr('class', 'animation')
# the final brush stroke contour & area polygons
@brushStrokeContour = @g.append('path')
@brushStrokeArea = @g.append('path')
# The initial brush centerline
@simplePath = @g.append('path')
# The initial vertices on the centerline
@vertsGroup = @g.append('g')
# The uniform ribbons (up & down) vertices
@ribbonUTCircle = (@g.append('circle') for i in [0...@points.length])
@ribbonUBCircle = (@g.append('circle') for i in [0...@points.length])
# The speed vector
@speedVectorPath = @g.append('path')
@step1()
highlightStepExplanation: (i) ->
d3.selectAll('.step-explanation').classed('active', false)
d3.select("#step-#{i}").classed('active', true)
step1: () =>
@highlightStepExplanation(1)
@simplePath
.attr('class', 'brush-stroke-centerline')
.style('opacity', 0)
.attr('d', pathStringFromVecSequence(@points))
.transition()
.duration(150 * (@points.length))
.style('opacity', 1)
.each('end', @step2)
@verts = (@vertsGroup.append('circle')
.attr('r', 0)
.attr('cx', @points[i].x)
.attr('cy', @points[i].y)
.style('fill', 'grey')
.style('stroke', 'white')
.style('stroke-width', 2)
.transition()
.delay(i * 100)
.attr('r', 4) for i in [0...@points.length])
step2: () =>
@highlightStepExplanation(2)
# Create a speed vector between the two first points
@speedVectorPath
.attr('class', 'speed-vector')
.attr('d', pathStringFromVecSequence(@speedVector))
.attr('transform', "translate(#{@p0.x} #{@p0.y}) rotate(0)")
.style('opacity', 0)
.transition()
.duration(1000)
.style('opacity', 1)
# Animate it to scale to a unit vector
@speedVectorPath.transition()
.delay(1000)
.duration(500)
.attr('d', pathStringFromVecSequence(@speedVectorUnit))
# Rotate it
@speedVectorPath.transition()
.delay(2000)
.duration(500)
.attr('transform', "translate(#{@p0.x} #{@p0.y}) rotate(-90)")
.each('end', @step3)
step3: () =>
@highlightStepExplanation(3)
# Display vertex i of ribbon, whose position is pos[i], after a delay
displayVertex = (i, ribbon, pos, delay) =>
ribbon[i]
.attr('class', 'ribbon-vertex')
.attr('r', 0)
.attr('cx', @points[i].x)
.attr('cy', @points[i].y)
.transition()
.delay(delay)
.attr('cx', pos[i].x)
.attr('cy', pos[i].y)
.attr('r', 2.8)
# Display the vertex corresponding to the normal vector
for [ribbon, pos] in [[@ribbonUTCircle, @ribbonUniformPosTop], [@ribbonUBCircle, @ribbonUniformPosBottom]]
displayVertex(4, ribbon, pos, 0)
# Then display all the other vertices of the uniform ribbon
for [ribbon, pos] in [[@ribbonUTCircle, @ribbonUniformPosTop], [@ribbonUBCircle, @ribbonUniformPosBottom]]
for i in [0..ribbon.length-1]
if i == 4
# Skip the vertex corresponding to the normal vector
continue
displayVertex(i, ribbon, pos, 500 + 100 * i)
# Create a fake transition to wait for all the vertices to have
# completed their animation
@g.transition()
.delay(500 + 100 * @points.length)
.each('end', @step4)
step4: () =>
@highlightStepExplanation(4)
# Bulge the ribbon, by starting from both extremities toward the center
for [ribbon, pos] in [[@ribbonUTCircle, @ribbonBulgedPosTop], [@ribbonUBCircle, @ribbonBulgedPosBottom]]
for c, i in ribbon
c .transition()
.delay(500 + 100*(@points.length/2 - Math.abs(i - @points.length/2)))
.attr('cx', pos[i].x)
.attr('cy', pos[i].y)
# Create a fake transition to wait for the end of the animation
@g.transition()
.delay(500 + 100*@points.length/2)
.each('end', @step5)
step5: () =>
# Fade-in the contour
@brushStrokeContour
.attr('class', 'brush-contour')
.style('opacity', 0)
.attr('d', pathStringFromVecSequence(@contour))
.transition()
.duration(1000)
.style('opacity', 1)
# Fade out everything else
@g.selectAll('*')
.transition()
.delay(1000)
.duration(1000)
.style('opacity', 0)
@g.transition()
.delay(1000)
.each('end', @step6)
step6: () =>
# Fade-in the brush area
@brushStrokeArea
.attr('class', 'brush-area')
.style('fill-opacity', 0)
.style('opacity', 1)
.attr('d', pathStringFromVecSequence(@contour))
.transition()
.duration(1000)
.style('fill-opacity', 0.8)
.each('end', () => @animating = false)
$ () ->
new BrushConstructionFigure('#brush-explanation')
html {
background: #fff;
}
#container {
margin: 40px auto;
max-width: 500px;
}
.step-explanation {
font-family: 'Helvetica Neue', Arial, sans-serif;
font-size: 14px;
fill: #ddd;
}
.step-explanation.active {
fill: #444;
}
.brush-stroke-centerline {
fill: none;
stroke: #000;
}
.brush-contour {
fill: none;
stroke: green;
stroke-width: 2;
}
.brush-area {
fill: purple;
stroke: none;
}
.speed-vector {
stroke: #f00;
stroke-width: 2;
marker-end: url(#arrow);
}
.ribbon-vertex {
fill: green;
stroke: #fff;
stroke-width: 2;
}
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* CoffeeScript Compiler v1.6.3
* http://coffeescript.org
*
* Copyright 2011, Jeremy Ashkenas
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95:this.$=i.addLocationDataFn(o[a-5],o[a])(r[a-5].concat(r[a-2]));break;case 96:this.$=i.addLocationDataFn(o[a],o[a])(new i.Class);break;case 97:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.Class(null,null,r[a]));break;case 98:this.$=i.addLocationDataFn(o[a-2],o[a])(new i.Class(null,r[a]));break;case 99:this.$=i.addLocationDataFn(o[a-3],o[a])(new i.Class(null,r[a-1],r[a]));break;case 100:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.Class(r[a]));break;case 101:this.$=i.addLocationDataFn(o[a-2],o[a])(new i.Class(r[a-1],null,r[a]));break;case 102:this.$=i.addLocationDataFn(o[a-3],o[a])(new i.Class(r[a-2],r[a]));break;case 103:this.$=i.addLocationDataFn(o[a-4],o[a])(new i.Class(r[a-3],r[a-1],r[a]));break;case 104:this.$=i.addLocationDataFn(o[a-2],o[a])(new i.Call(r[a-2],r[a],r[a-1]));break;case 105:this.$=i.addLocationDataFn(o[a-2],o[a])(new i.Call(r[a-2],r[a],r[a-1]));break;case 106:this.$=i.addLocationDataFn(o[a],o[a])(new i.Call("super",[new i.Splat(new i.Literal("arguments"))]));break;case 107:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.Call("super",r[a]));break;case 108:this.$=i.addLocationDataFn(o[a],o[a])(!1);break;case 109:this.$=i.addLocationDataFn(o[a],o[a])(!0);break;case 110:this.$=i.addLocationDataFn(o[a-1],o[a])([]);break;case 111:this.$=i.addLocationDataFn(o[a-3],o[a])(r[a-2]);break;case 112:this.$=i.addLocationDataFn(o[a],o[a])(new i.Value(new i.Literal("this")));break;case 113:this.$=i.addLocationDataFn(o[a],o[a])(new i.Value(new i.Literal("this")));break;case 114:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.Value(i.addLocationDataFn(o[a-1])(new i.Literal("this")),[i.addLocationDataFn(o[a])(new i.Access(r[a]))],"this"));break;case 115:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.Arr([]));break;case 116:this.$=i.addLocationDataFn(o[a-3],o[a])(new i.Arr(r[a-2]));break;case 117:this.$=i.addLocationDataFn(o[a],o[a])("inclusive");break;case 118:this.$=i.addLocationDataFn(o[a],o[a])("exclusive");break;case 119:this.$=i.addLocationDataFn(o[a-4],o[a])(new i.Range(r[a-3],r[a-1],r[a-2]));break;case 120:this.$=i.addLocationDataFn(o[a-2],o[a])(new i.Range(r[a-2],r[a],r[a-1]));break;case 121:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.Range(r[a-1],null,r[a]));break;case 122:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.Range(null,r[a],r[a-1]));break;case 123:this.$=i.addLocationDataFn(o[a],o[a])(new i.Range(null,null,r[a]));break;case 124:this.$=i.addLocationDataFn(o[a],o[a])([r[a]]);break;case 125:this.$=i.addLocationDataFn(o[a-2],o[a])(r[a-2].concat(r[a]));break;case 126:this.$=i.addLocationDataFn(o[a-3],o[a])(r[a-3].concat(r[a]));break;case 127:this.$=i.addLocationDataFn(o[a-3],o[a])(r[a-2]);break;case 128:this.$=i.addLocationDataFn(o[a-5],o[a])(r[a-5].concat(r[a-2]));break;case 129:this.$=r[a];break;case 130:this.$=r[a];break;case 131:this.$=r[a];break;case 132:this.$=i.addLocationDataFn(o[a-2],o[a])([].concat(r[a-2],r[a]));break;case 133:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.Try(r[a]));break;case 134:this.$=i.addLocationDataFn(o[a-2],o[a])(new i.Try(r[a-1],r[a][0],r[a][1]));break;case 135:this.$=i.addLocationDataFn(o[a-3],o[a])(new i.Try(r[a-2],null,null,r[a]));break;case 136:this.$=i.addLocationDataFn(o[a-4],o[a])(new i.Try(r[a-3],r[a-2][0],r[a-2][1],r[a]));break;case 137:this.$=i.addLocationDataFn(o[a-2],o[a])([r[a-1],r[a]]);break;case 138:this.$=i.addLocationDataFn(o[a-2],o[a])([i.addLocationDataFn(o[a-1])(new i.Value(r[a-1])),r[a]]);break;case 139:this.$=i.addLocationDataFn(o[a-1],o[a])([null,r[a]]);break;case 140:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.Throw(r[a]));break;case 141:this.$=i.addLocationDataFn(o[a-2],o[a])(new i.Parens(r[a-1]));break;case 142:this.$=i.addLocationDataFn(o[a-4],o[a])(new i.Parens(r[a-2]));break;case 143:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.While(r[a]));break;case 144:this.$=i.addLocationDataFn(o[a-3],o[a])(new i.While(r[a-2],{guard:r[a]}));break;case 145:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.While(r[a],{invert:!0}));break;case 146:this.$=i.addLocationDataFn(o[a-3],o[a])(new i.While(r[a-2],{invert:!0,guard:r[a]}));break;case 147:this.$=i.addLocationDataFn(o[a-1],o[a])(r[a-1].addBody(r[a]));break;case 148:this.$=i.addLocationDataFn(o[a-1],o[a])(r[a].addBody(i.addLocationDataFn(o[a-1])(i.Block.wrap([r[a-1]]))));break;case 149:this.$=i.addLocationDataFn(o[a-1],o[a])(r[a].addBody(i.addLocationDataFn(o[a-1])(i.Block.wrap([r[a-1]]))));break;case 150:this.$=i.addLocationDataFn(o[a],o[a])(r[a]);break;case 151:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.While(i.addLocationDataFn(o[a-1])(new i.Literal("true"))).addBody(r[a]));break;case 152:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.While(i.addLocationDataFn(o[a-1])(new i.Literal("true"))).addBody(i.addLocationDataFn(o[a])(i.Block.wrap([r[a]]))));break;case 153:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.For(r[a-1],r[a]));break;case 154:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.For(r[a-1],r[a]));break;case 155:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.For(r[a],r[a-1]));break;case 156:this.$=i.addLocationDataFn(o[a-1],o[a])({source:i.addLocationDataFn(o[a])(new i.Value(r[a]))});break;case 157:this.$=i.addLocationDataFn(o[a-1],o[a])(function(){return r[a].own=r[a-1].own,r[a].name=r[a-1][0],r[a].index=r[a-1][1],r[a]}());break;case 158:this.$=i.addLocationDataFn(o[a-1],o[a])(r[a]);break;case 159:this.$=i.addLocationDataFn(o[a-2],o[a])(function(){return r[a].own=!0,r[a]}());break;case 160:this.$=r[a];break;case 161:this.$=r[a];break;case 162:this.$=i.addLocationDataFn(o[a],o[a])(new i.Value(r[a]));break;case 163:this.$=i.addLocationDataFn(o[a],o[a])(new i.Value(r[a]));break;case 164:this.$=i.addLocationDataFn(o[a],o[a])([r[a]]);break;case 165:this.$=i.addLocationDataFn(o[a-2],o[a])([r[a-2],r[a]]);break;case 166:this.$=i.addLocationDataFn(o[a-1],o[a])({source:r[a]});break;case 167:this.$=i.addLocationDataFn(o[a-1],o[a])({source:r[a],object:!0});break;case 168:this.$=i.addLocationDataFn(o[a-3],o[a])({source:r[a-2],guard:r[a]});break;case 169:this.$=i.addLocationDataFn(o[a-3],o[a])({source:r[a-2],guard:r[a],object:!0});break;case 170:this.$=i.addLocationDataFn(o[a-3],o[a])({source:r[a-2],step:r[a]});break;case 171:this.$=i.addLocationDataFn(o[a-5],o[a])({source:r[a-4],guard:r[a-2],step:r[a]});break;case 172:this.$=i.addLocationDataFn(o[a-5],o[a])({source:r[a-4],step:r[a-2],guard:r[a]});break;case 173:this.$=i.addLocationDataFn(o[a-4],o[a])(new i.Switch(r[a-3],r[a-1]));break;case 174:this.$=i.addLocationDataFn(o[a-6],o[a])(new i.Switch(r[a-5],r[a-3],r[a-1]));break;case 175:this.$=i.addLocationDataFn(o[a-3],o[a])(new i.Switch(null,r[a-1]));break;case 176:this.$=i.addLocationDataFn(o[a-5],o[a])(new i.Switch(null,r[a-3],r[a-1]));break;case 177:this.$=r[a];break;case 178:this.$=i.addLocationDataFn(o[a-1],o[a])(r[a-1].concat(r[a]));break;case 179:this.$=i.addLocationDataFn(o[a-2],o[a])([[r[a-1],r[a]]]);break;case 180:this.$=i.addLocationDataFn(o[a-3],o[a])([[r[a-2],r[a-1]]]);break;case 181:this.$=i.addLocationDataFn(o[a-2],o[a])(new i.If(r[a-1],r[a],{type:r[a-2]}));break;case 182:this.$=i.addLocationDataFn(o[a-4],o[a])(r[a-4].addElse(new i.If(r[a-1],r[a],{type:r[a-2]})));break;case 183:this.$=r[a];break;case 184:this.$=i.addLocationDataFn(o[a-2],o[a])(r[a-2].addElse(r[a]));break;case 185:this.$=i.addLocationDataFn(o[a-2],o[a])(new i.If(r[a],i.addLocationDataFn(o[a-2])(i.Block.wrap([r[a-2]])),{type:r[a-1],statement:!0}));break;case 186:this.$=i.addLocationDataFn(o[a-2],o[a])(new i.If(r[a],i.addLocationDataFn(o[a-2])(i.Block.wrap([r[a-2]])),{type:r[a-1],statement:!0}));break;case 187:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.Op(r[a-1],r[a]));break;case 188:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.Op("-",r[a]));break;case 189:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.Op("+",r[a]));break;case 190:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.Op("--",r[a]));break;case 191:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.Op("++",r[a]));break;case 192:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.Op("--",r[a-1],null,!0));break;case 193:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.Op("++",r[a-1],null,!0));break;case 194:this.$=i.addLocationDataFn(o[a-1],o[a])(new i.Existence(r[a-1]));break;case 195:this.$=i.addLocationDataFn(o[a-2],o[a])(new i.Op("+",r[a-2],r[a]));break;case 196:this.$=i.addLocationDataFn(o[a-2],o[a])(new i.Op("-",r[a-2],r[a]));break;case 197:this.$=i.addLocationDataFn(o[a-2],o[a])(new i.Op(r[a-1],r[a-2],r[a]));break;case 198:this.$=i.addLocationDataFn(o[a-2],o[a])(new i.Op(r[a-1],r[a-2],r[a]));break;case 199:this.$=i.addLocationDataFn(o[a-2],o[a])(new i.Op(r[a-1],r[a-2],r[a]));break;case 200:this.$=i.addLocationDataFn(o[a-2],o[a])(new i.Op(r[a-1],r[a-2],r[a]));break;case 201:this.$=i.addLocationDataFn(o[a-2],o[a])(function(){return"!"===r[a-1].charAt(0)?new i.Op(r[a-1].slice(1),r[a-2],r[a]).invert():new i.Op(r[a-1],r[a-2],r[a])}());break;case 202:this.$=i.addLocationDataFn(o[a-2],o[a])(new i.Assign(r[a-2],r[a],r[a-1]));break;case 203:this.$=i.addLocationDataFn(o[a-4],o[a])(new i.Assign(r[a-4],r[a-1],r[a-3]));break;case 204:this.$=i.addLocationDataFn(o[a-3],o[a])(new i.Assign(r[a-3],r[a],r[a-2]));break;case 205:this.$=i.addLocationDataFn(o[a-2],o[a])(new i.Extends(r[a-2],r[a]))}},table:[{1:[2,1],3:1,4:2,5:3,7:4,8:6,9:7,10:20,11:21,12:[1,22],13:8,14:9,15:10,16:11,17:12,18:13,19:14,20:15,21:16,22:17,23:18,24:19,25:[1,5],27:62,28:[1,73],29:49,30:[1,71],31:[1,72],32:24,33:[1,50],34:[1,51],35:[1,52],36:[1,53],37:[1,54],38:[1,55],39:23,44:63,45:[1,45],46:[1,46],47:[1,29],50:30,51:[1,60],52:[1,61],58:47,59:48,61:36,63:25,64:26,65:27,76:[1,70],79:[1,43],83:[1,28],88:[1,58],89:[1,59],90:[1,57],96:[1,38],100:[1,44],101:[1,56],103:39,104:[1,65],106:[1,66],107:40,108:[1,67],109:41,110:[1,68],111:69,119:[1,42],124:37,125:[1,64],127:[1,31],128:[1,32],129:[1,33],130:[1,34],131:[1,35]},{1:[3]},{1:[2,2],6:[1,74]},{6:[1,75]},{1:[2,4],6:[2,4],26:[2,4],102:[2,4]},{4:77,7:4,8:6,9:7,10:20,11:21,12:[1,22],13:8,14:9,15:10,16:11,17:12,18:13,19:14,20:15,21:16,22:17,23:18,24:19,26:[1,76],27:62,28:[1,73],29:49,30:[1,71],31:[1,72],32:24,33:[1,50],34:[1,51],35:[1,52],36:[1,53],37:[1,54],38:[1,55],39:23,44:63,45:[1,45],46:[1,46],47:[1,29],50:30,51:[1,60],52:[1,61],58:47,59:48,61:36,63:25,64:26,65:27,76:[1,70],79:[1,43],83:[1,28],88:[1,58],89:[1,59],90:[1,57],96:[1,38],100:[1,44],101:[1,56],103:39,104:[1,65],106:[1,66],107:40,108:[1,67],109:41,110:[1,68],111:69,119:[1,42],124:37,125:[1,64],127:[1,31],128:[1,32],129:[1,33],130:[1,34],131:[1,35]},{1:[2,7],6:[2,7],26:[2,7],102:[2,7],103:87,104:[1,65],106:[1,66],109:88,110:[1,68],111:69,126:[1,86],128:[1,80],129:[1,79],132:[1,78],133:[1,81],134:[1,82],135:[1,83],136:[1,84],137:[1,85]},{1:[2,8],6:[2,8],26:[2,8],102:[2,8],103:90,104:[1,65],106:[1,66],109:91,110:[1,68],111:69,126:[1,89]},{1:[2,12],6:[2,12],25:[2,12],26:[2,12],49:[2,12],54:[2,12],57:[2,12],62:93,66:[1,95],67:[1,96],68:[1,97],69:[1,98],70:99,71:[1,100],73:[2,12],74:[1,101],78:[2,12],81:92,84:[1,94],85:[2,108],86:[2,12],91:[2,12],93:[2,12],102:[2,12],104:[2,12],105:[2,12],106:[2,12],110:[2,12],118:[2,12],126:[2,12],128:[2,12],129:[2,12],132:[2,12],133:[2,12],134:[2,12],135:[2,12],136:[2,12],137:[2,12]},{1:[2,13],6:[2,13],25:[2,13],26:[2,13],49:[2,13],54:[2,13],57:[2,13],62:103,66:[1,95],67:[1,96],68:[1,97],69:[1,98],70:99,71:[1,100],73:[2,13],74:[1,101],78:[2,13],81:102,84:[1,94],85:[2,108],86:[2,13],91:[2,13],93:[2,13],102:[2,13],104:[2,13],105:[2,13],106:[2,13],110:[2,13],118:[2,13],126:[2,13],128:[2,13],129:[2,13],132:[2,13],133:[2,13],134:[2,13],135:[2,13],136:[2,13],137:[2,13]},{1:[2,14],6:[2,14],25:[2,14],26:[2,14],49:[2,14],54:[2,14],57:[2,14],73:[2,14],78:[2,14],86:[2,14],91:[2,14],93:[2,14],102:[2,14],104:[2,14],105:[2,14],106:[2,14],110:[2,14],118:[2,14],126:[2,14],128:[2,14],129:[2,14],132:[2,14],133:[2,14],134:[2,14],135:[2,14],136:[2,14],137:[2,14]},{1:[2,15],6:[2,15],25:[2,15],26:[2,15],49:[2,15],54:[2,15],57:[2,15],73:[2,15],78:[2,15],86:[2,15],91:[2,15],93:[2,15],102:[2,15],104:[2,15],105:[2,15],106:[2,15],110:[2,15],118:[2,15],126:[2,15],128:[2,15],129:[2,15],132:[2,15],133:[2,15],134:[2,15],135:[2,15],136:[2,15],137:[2,15]},{1:[2,16],6:[2,16],25:[2,16],26:[2,16],49:[2,16],54:[2,16],57:[2,16],73:[2,16],78:[2,16],86:[2,16],91:[2,16],93:[2,16],102:[2,16],104:[2,16],105:[2,16],106:[2,16],110:[2,16],118:[2,16],126:[2,16],128:[2,16],129:[2,16],132:[2,16],133:[2,16],134:[2,16],135:[2,16],136:[2,16],137:[2,16]},{1:[2,17],6:[2,17],25:[2,17],26:[2,17],49:[2,17],54:[2,17],57:[2,17],73:[2,17],78:[2,17],86:[2,17],91:[2,17],93:[2,17],102:[2,17],104:[2,17],105:[2,17],106:[2,17],110:[2,17],118:[2,17],126:[2,17],128:[2,17],129:[2,17],132:[2,17],133:[2,17],134:[2,17],135:[2,17],136:[2,17],137:[2,17]},{1:[2,18],6:[2,18],25:[2,18],26:[2,18],49:[2,18],54:[2,18],57:[2,18],73:[2,18],78:[2,18],86:[2,18],91:[2,18],93:[2,18],102:[2,18],104:[2,18],105:[2,18],106:[2,18],110:[2,18],118:[2,18],126:[2,18],128:[2,18],129:[2,18],132:[2,18],133:[2,18],134:[2,18],135:[2,18],136:[2,18],137:[2,18]},{1:[2,19],6:[2,19],25:[2,19],26:[2,19],49:[2,19],54:[2,19],57:[2,19],73:[2,19],78:[2,19],86:[2,19],91:[2,19],93:[2,19],102:[2,19],104:[2,19],105:[2,19],106:[2,19],110:[2,19],118:[2,19],126:[2,19],128:[2,19],129:[2,19],132:[2,19],133:[2,19],134:[2,19],135:[2,19],136:[2,19],137:[2,19]},{1:[2,20],6:[2,20],25:[2,20],26:[2,20],49:[2,20],54:[2,20],57:[2,20],73:[2,20],78:[2,20],86:[2,20],91:[2,20],93:[2,20],102:[2,20],104:[2,20],105:[2,20],106:[2,20],110:[2,20],118:[2,20],126:[2,20],128:[2,20],129:[2,20],132:[2,20],133:[2,20],134:[2,20],135:[2,20],136:[2,20],137:[2,20]},{1:[2,21],6:[2,21],25:[2,21],26:[2,21],49:[2,21],54:[2,21],57:[2,21],73:[2,21],78:[2,21],86:[2,21],91:[2,21],93:[2,21],102:[2,21],104:[2,21],105:[2,21],106:[2,21],110:[2,21],118:[2,21],126:[2,21],128:[2,21],129:[2,21],132:[2,21],133:[2,21],134:[2,21],135:[2,21],136:[2,21],137:[2,21]},{1:[2,22],6:[2,22],25:[2,22],26:[2,22],49:[2,22],54:[2,22],57:[2,22],73:[2,22],78:[2,22],86:[2,22],91:[2,22],93:[2,22],102:[2,22],104:[2,22],105:[2,22],106:[2,22],110:[2,22],118:[2,22],126:[2,22],128:[2,22],129:[2,22],132:[2,22],133:[2,22],134:[2,22],135:[2,22],136:[2,22],137:[2,22]},{1:[2,23],6:[2,23],25:[2,23],26:[2,23],49:[2,23],54:[2,23],57:[2,23],73:[2,23],78:[2,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