Commit | Line | Data |
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fd8a39b0 SG |
1 | import toxi.geom.Vec3D; |
2 | import toxi.geom.Matrix4x4; | |
3 | ||
4 | class HelixPattern extends SCPattern { | |
5 | ||
6 | // Stores a line in point + vector form | |
7 | private class Line { | |
8 | private final PVector origin; | |
9 | private final PVector vector; | |
ee1f21c7 | 10 | |
fd8a39b0 SG |
11 | Line(PVector pt, PVector v) { |
12 | origin = pt; | |
13 | vector = v.get(); | |
14 | vector.normalize(); | |
15 | } | |
ee1f21c7 | 16 | |
fd8a39b0 SG |
17 | PVector getPoint() { |
18 | return origin; | |
19 | } | |
ee1f21c7 | 20 | |
fd8a39b0 SG |
21 | PVector getVector() { |
22 | return vector; | |
23 | } | |
ee1f21c7 SG |
24 | |
25 | PVector getPointAt(final float t) { | |
26 | return PVector.add(origin, PVector.mult(vector, t)); | |
fd8a39b0 | 27 | } |
ee1f21c7 SG |
28 | |
29 | boolean isColinear(final PVector pt) { | |
30 | PVector projected = projectPoint(pt); | |
fd8a39b0 SG |
31 | return projected.x==pt.x && projected.y==pt.y && projected.z==pt.z; |
32 | } | |
ee1f21c7 SG |
33 | |
34 | float getTValue(final PVector pt) { | |
fd8a39b0 SG |
35 | PVector subtraction = PVector.sub(pt, origin); |
36 | return subtraction.dot(vector); | |
ee1f21c7 SG |
37 | } |
38 | ||
39 | PVector projectPoint(final PVector pt) { | |
fd8a39b0 SG |
40 | return getPointAt(getTValue(pt)); |
41 | } | |
ee1f21c7 SG |
42 | |
43 | PVector rotatePoint(final PVector pt, final float rads) { | |
fd8a39b0 | 44 | Vec3D axisVec3D = new Vec3D(vector.x, vector.y, vector.z); |
ffb4b60e SG |
45 | Vec3D originVec3D = new Vec3D(origin.x, origin.y, origin.z); |
46 | Matrix4x4 mat = new Matrix4x4().identity() | |
47 | .rotateAroundAxis(axisVec3D, rads); | |
48 | Vec3D ptVec3D = new Vec3D(pt.x, pt.y, pt.z).sub(originVec3D); | |
49 | Vec3D rotatedPt = mat.applyTo(ptVec3D).add(originVec3D); | |
fd8a39b0 SG |
50 | return new PVector(rotatedPt.x, rotatedPt.y, rotatedPt.z); |
51 | } | |
52 | } | |
53 | ||
54 | private class Helix { | |
55 | private final Line axis; | |
ee1f21c7 SG |
56 | private final float period; // period of coil |
57 | private final float rotationPeriod; // animation period | |
58 | private final float radius; // radius of coil | |
59 | private final float girth; // girth of coil | |
fd8a39b0 SG |
60 | private final PVector referencePoint; |
61 | private float phase; | |
62 | private PVector phaseNormal; | |
63 | ||
64 | Helix(Line axis, float period, float radius, float girth, float phase, float rotationPeriod) { | |
65 | this.axis = axis; | |
66 | this.period = period; | |
67 | this.radius = radius; | |
68 | this.girth = girth; | |
69 | this.phase = phase; | |
70 | this.rotationPeriod = rotationPeriod; | |
71 | ||
72 | // Generate a normal that will rotate to | |
73 | // produce the helical shape. | |
74 | PVector pt = new PVector(0, 1, 0); | |
75 | if (this.axis.isColinear(pt)) { | |
76 | pt = new PVector(0, 0, 1); | |
77 | if (this.axis.isColinear(pt)) { | |
78 | pt = new PVector(0, 1, 1); | |
79 | } | |
80 | } | |
81 | ||
82 | this.referencePoint = pt; | |
fd8a39b0 | 83 | |
ee1f21c7 SG |
84 | // The normal is calculated by the cross product of the axis |
85 | // and a random point that is not colinear with it. | |
86 | phaseNormal = axis.getVector().cross(referencePoint); | |
fd8a39b0 SG |
87 | phaseNormal.normalize(); |
88 | phaseNormal.mult(radius); | |
89 | } | |
ee1f21c7 | 90 | |
ee1f21c7 SG |
91 | Line getAxis() { |
92 | return axis; | |
93 | } | |
94 | ||
fd8a39b0 | 95 | void step(int deltaMs) { |
ee1f21c7 SG |
96 | // Rotate |
97 | if (rotationPeriod != 0) { | |
117f538a | 98 | this.phase = (phase + ((float)deltaMs / (float)rotationPeriod) * TWO_PI); |
ee1f21c7 | 99 | } |
fd8a39b0 | 100 | } |
ee1f21c7 | 101 | |
fd8a39b0 SG |
102 | PVector pointOnToroidalAxis(float t) { |
103 | PVector p = axis.getPointAt(t); | |
104 | PVector middle = PVector.add(p, phaseNormal); | |
117f538a | 105 | return axis.rotatePoint(middle, (t / period) * TWO_PI + phase); |
fd8a39b0 | 106 | } |
ee1f21c7 SG |
107 | |
108 | color colorOfPoint(final PVector p) { | |
2a7c5e4d SG |
109 | float t = axis.getTValue(p); |
110 | ||
111 | // For performance reasons, cut out points that are outside of | |
112 | // the tube where the toroidal coil lives. | |
113 | if (abs(PVector.dist(p, axis.getPointAt(t)) - radius) > girth*.5f) { | |
114 | return color(0,0,0); | |
115 | } | |
116 | ||
fd8a39b0 SG |
117 | // Find the appropriate point for the current rotation |
118 | // of the helix. | |
fd8a39b0 | 119 | PVector toroidPoint = pointOnToroidalAxis(t); |
ee1f21c7 | 120 | |
fd8a39b0 SG |
121 | // The rotated point represents the middle of the girth of |
122 | // the helix. Figure out if the current point is inside that | |
123 | // region. | |
124 | float d = PVector.dist(p, toroidPoint); | |
ee1f21c7 | 125 | |
117f538a | 126 | // Soften edges by fading brightness. |
c27cb078 | 127 | float b = constrain(100*(1 - ((d-.5*girth)/(girth*.5))), 0, 100); |
117f538a | 128 | return color((lx.getBaseHuef() + (360*(phase / TWO_PI)))%360, 80, b); |
fd8a39b0 SG |
129 | } |
130 | } | |
131 | ||
132 | private final Helix h1; | |
133 | private final Helix h2; | |
ee1f21c7 | 134 | |
fd8a39b0 SG |
135 | private final BasicParameter helix1On = new BasicParameter("H1ON", 1); |
136 | private final BasicParameter helix2On = new BasicParameter("H2ON", 1); | |
ee1f21c7 | 137 | |
f904d86b SG |
138 | private final BasicParameter basePairsOn = new BasicParameter("BPON", 1); |
139 | private final BasicParameter spokePeriodParam = new BasicParameter("SPPD", 0.40); | |
140 | private final BasicParameter spokePhaseParam = new BasicParameter("SPPH", 0.25); | |
141 | ||
142 | private static final float helixCoilPeriod = 100; | |
143 | private static final float helixCoilRadius = 45; | |
144 | private static final float helixCoilGirth = 20; | |
145 | private static final float helixCoilRotationPeriod = 10000; | |
146 | ||
fd8a39b0 SG |
147 | public HelixPattern(GLucose glucose) { |
148 | super(glucose); | |
ee1f21c7 | 149 | |
fd8a39b0 SG |
150 | addParameter(helix1On); |
151 | addParameter(helix2On); | |
f904d86b SG |
152 | addParameter(basePairsOn); |
153 | addParameter(spokePhaseParam); | |
154 | addParameter(spokePeriodParam); | |
155 | ||
156 | PVector origin = new PVector(100, 50, 45); | |
157 | PVector axis = new PVector(1,0,0); | |
ee1f21c7 | 158 | |
fd8a39b0 | 159 | h1 = new Helix( |
f904d86b SG |
160 | new Line(origin, axis), |
161 | helixCoilPeriod, | |
162 | helixCoilRadius, | |
163 | helixCoilGirth, | |
164 | 0, | |
165 | helixCoilRotationPeriod); | |
fd8a39b0 | 166 | h2 = new Helix( |
f904d86b SG |
167 | new Line(origin, axis), |
168 | helixCoilPeriod, | |
169 | helixCoilRadius, | |
170 | helixCoilGirth, | |
fd8a39b0 | 171 | PI, |
f904d86b | 172 | helixCoilRotationPeriod); |
fd8a39b0 | 173 | } |
ee1f21c7 | 174 | |
fd8a39b0 SG |
175 | void run(int deltaMs) { |
176 | boolean h1on = helix1On.getValue() > 0.5; | |
177 | boolean h2on = helix2On.getValue() > 0.5; | |
f904d86b SG |
178 | boolean spokesOn = (float)basePairsOn.getValue() > 0.5; |
179 | float spokePeriod = (float)spokePeriodParam.getValue() * 100 + 1; | |
180 | float spokeGirth = 10; | |
181 | float spokePhase = (float)spokePhaseParam.getValue() * spokePeriod; | |
182 | float spokeRadius = helixCoilRadius - helixCoilGirth*.5f; | |
ee1f21c7 | 183 | |
fd8a39b0 SG |
184 | h1.step(deltaMs); |
185 | h2.step(deltaMs); | |
ee1f21c7 | 186 | |
fd8a39b0 | 187 | for (Point p : model.points) { |
f904d86b SG |
188 | PVector pt = new PVector(p.x,p.y,p.z); |
189 | color h1c = h1.colorOfPoint(pt); | |
190 | color h2c = h2.colorOfPoint(pt); | |
191 | ||
192 | // Find the closest spoke's t-value and calculate its | |
193 | // axis. Until everything animates in the model reference | |
194 | // frame, this has to be calculated at every step because | |
195 | // the helices rotate. | |
196 | float t = h1.getAxis().getTValue(pt) + spokePhase; | |
197 | float spokeAxisTValue = floor(((t + spokePeriod/2) / spokePeriod)) * spokePeriod; | |
198 | PVector h1point = h1.pointOnToroidalAxis(spokeAxisTValue); | |
199 | PVector h2point = h2.pointOnToroidalAxis(spokeAxisTValue); | |
200 | PVector spokeVector = PVector.sub(h2point, h1point); | |
201 | spokeVector.normalize(); | |
202 | Line spokeLine = new Line(h1point, spokeVector); | |
203 | float spokeLength = PVector.dist(h1point, h2point); | |
204 | // TODO(shaheen) investigate why h1.getAxis().getPointAt(spokeAxisTValue) doesn't quite | |
205 | // have the same value. | |
206 | PVector spokeCenter = PVector.add(h1point, PVector.mult(spokeVector, spokeLength/2.f)); | |
207 | PVector spokeStart = PVector.add(spokeCenter, PVector.mult(spokeLine.getVector(), -spokeRadius)); | |
208 | PVector spokeEnd = PVector.add(spokeCenter, PVector.mult(spokeLine.getVector(), spokeRadius)); | |
209 | float spokeStartTValue = spokeLine.getTValue(spokeStart); | |
210 | float spokeEndTValue = spokeLine.getTValue(spokeEnd); | |
211 | PVector pointOnSpoke = spokeLine.projectPoint(pt); | |
212 | float projectedTValue = spokeLine.getTValue(pointOnSpoke); | |
213 | float percentage = constrain(PVector.dist(pointOnSpoke, spokeStart) / spokeLength, 0.f, 1.f); | |
214 | float b = ((PVector.dist(pt, pointOnSpoke) < spokeGirth) && (PVector.dist(pointOnSpoke, spokeCenter) < spokeRadius)) ? 100.f : 0.f; | |
215 | ||
216 | color spokeColor; | |
217 | ||
218 | if (spokeStartTValue < spokeEndTValue) { | |
219 | spokeColor = lerpColor(h1c, h2c, percentage); | |
220 | } else { | |
221 | spokeColor = lerpColor(h2c, h1c, percentage); | |
222 | } | |
223 | ||
224 | spokeColor = color(hue(spokeColor), 80.f, b); | |
225 | ||
226 | if (!h1on) { | |
227 | h1c = color(0,0,0); | |
228 | } | |
ee1f21c7 | 229 | |
f904d86b SG |
230 | if (!h2on) { |
231 | h2c = color(0,0,0); | |
fd8a39b0 | 232 | } |
ee1f21c7 | 233 | |
f904d86b SG |
234 | if (!spokesOn) { |
235 | spokeColor = color(0,0,0); | |
fd8a39b0 | 236 | } |
ee1f21c7 | 237 | |
fd8a39b0 SG |
238 | // The helices are positioned to not overlap. If that changes, |
239 | // a better blending formula is probably needed. | |
f904d86b | 240 | colors[p.index] = blendColor(blendColor(h1c, h2c, ADD), spokeColor, ADD); |
fd8a39b0 SG |
241 | } |
242 | } | |
243 | } | |
244 |