| author | Nicolas Sauret <nicolas.sauret@iri.centrepompidou.fr> |
| Fri, 18 Apr 2014 14:31:58 +0200 | |
| changeset 51 | 79833eaa394a |
| parent 47 | c0b4a8b5a012 |
| permissions | -rw-r--r-- |
|
47
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1 |
// Boid flocking based on http://harry.me/2011/02/17/neat-algorithms---flocking |
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2 |
var boid = (function() { |
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3 |
function boid() { |
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4 |
var position = [0, 0], |
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5 |
velocity = [0, 0], |
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6 |
gravityCenter = null, |
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7 |
neighborRadius = 50, |
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8 |
maxForce = .1, |
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9 |
maxSpeed = 1, |
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10 |
separationWeight = 2, |
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11 |
alignmentWeight = 1, |
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12 |
cohesionWeight = 1, |
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13 |
desiredSeparation = 10; |
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14 |
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15 |
function boid(neighbors) { |
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16 |
var accel = flock(neighbors); |
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17 |
d3_ai_boidWrap(position); |
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18 |
velocity[0] += accel[0]; |
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19 |
velocity[1] += accel[1]; |
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20 |
if (gravityCenter) { |
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21 |
var g = d3_ai_boidGravity(gravityCenter, position, neighborRadius); |
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22 |
velocity[0] += g[0]; |
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23 |
velocity[1] += g[1]; |
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24 |
} |
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25 |
d3_ai_boidLimit(velocity, maxSpeed); |
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26 |
position[0] += velocity[0]; |
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27 |
position[1] += velocity[1]; |
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28 |
return position; |
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29 |
} |
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30 |
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31 |
function flock(neighbors) { |
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32 |
var separation = [0, 0], |
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33 |
alignment = [0, 0], |
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34 |
cohesion = [0, 0], |
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35 |
separationCount = 0, |
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36 |
alignmentCount = 0, |
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37 |
cohesionCount = 0, |
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38 |
i = -1, |
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39 |
l = neighbors.length; |
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40 |
while (++i < l) { |
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41 |
var n = neighbors[i]; |
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42 |
if (n === this) continue; |
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43 |
var npos = n.position(), |
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44 |
d = d3_ai_boidDistance(position, npos); |
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45 |
if (d > 0) { |
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46 |
if (d < desiredSeparation) { |
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47 |
var tmp = d3_ai_boidNormalize(d3_ai_boidSubtract(position.slice(), npos)); |
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48 |
separation[0] += tmp[0] / d; |
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49 |
separation[1] += tmp[1] / d; |
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50 |
separationCount++; |
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51 |
} |
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52 |
if (d < neighborRadius) { |
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53 |
var nvel = n.velocity(); |
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54 |
alignment[0] += nvel[0]; |
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55 |
alignment[1] += nvel[1]; |
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56 |
alignmentCount++; |
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57 |
cohesion[0] += npos[0]; |
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58 |
cohesion[1] += npos[1]; |
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59 |
cohesionCount++; |
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60 |
} |
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61 |
} |
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62 |
} |
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63 |
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64 |
if (separationCount > 0) { |
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65 |
separation[0] /= separationCount; |
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66 |
separation[1] /= separationCount; |
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67 |
} |
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68 |
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69 |
if (alignmentCount > 0) { |
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70 |
alignment[0] /= alignmentCount; |
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71 |
alignment[1] /= alignmentCount; |
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72 |
} |
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73 |
d3_ai_boidLimit(alignment, maxForce); |
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74 |
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75 |
if (cohesionCount > 0) { |
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76 |
cohesion[0] /= cohesionCount; |
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77 |
cohesion[1] /= cohesionCount; |
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78 |
} else { |
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79 |
cohesion = position.slice(); |
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80 |
} |
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81 |
cohesion = steerTo(cohesion); |
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82 |
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83 |
return [ |
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84 |
separation[0] * separationWeight + |
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85 |
alignment[0] * alignmentWeight + |
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86 |
cohesion[0] * cohesionWeight, |
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87 |
separation[1] * separationWeight + |
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88 |
alignment[1] * alignmentWeight + |
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89 |
cohesion[1] * cohesionWeight |
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90 |
]; |
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91 |
} |
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92 |
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93 |
function steerTo(target) { |
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94 |
var desired = d3_ai_boidSubtract(target, position), |
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95 |
d = d3_ai_boidMagnitude(desired); |
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96 |
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97 |
if (d > 0) { |
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98 |
d3_ai_boidNormalize(desired); |
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99 |
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100 |
// Two options for desired vector magnitude (1 -- based on distance, 2 -- maxspeed) |
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101 |
var mul = maxSpeed * (d < 100 ? d / 100 : 1); |
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102 |
desired[0] *= mul; |
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103 |
desired[1] *= mul; |
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104 |
|
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105 |
// Steering = Desired minus Velocity |
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106 |
var steer = d3_ai_boidSubtract(desired, velocity); |
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107 |
d3_ai_boidLimit(steer, maxForce) // Limit to maximum steering force |
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108 |
} else { |
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109 |
steer = [0, 0]; |
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110 |
} |
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111 |
return steer; |
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112 |
} |
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113 |
|
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114 |
boid.position = function(x) { |
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115 |
if (!arguments.length) return position; |
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116 |
position = x; |
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117 |
return boid; |
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118 |
} |
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119 |
|
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120 |
boid.velocity = function(x) { |
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121 |
if (!arguments.length) return velocity; |
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122 |
velocity = x; |
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123 |
return boid; |
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124 |
} |
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125 |
|
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126 |
boid.gravityCenter = function(x) { |
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127 |
if (!arguments.length) return gravityCenter; |
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128 |
gravityCenter = x; |
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129 |
return boid; |
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130 |
} |
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131 |
|
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132 |
boid.neighborRadius = function(x) { |
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133 |
if (!arguments.length) return neighborRadius; |
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134 |
neighborRadius = x; |
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135 |
return boid; |
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136 |
} |
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137 |
|
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138 |
boid.maxForce = function(x) { |
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139 |
if (!arguments.length) return maxForce; |
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140 |
maxForce = x; |
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141 |
return boid; |
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142 |
} |
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143 |
|
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144 |
boid.maxSpeed = function(x) { |
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145 |
if (!arguments.length) return maxSpeed; |
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146 |
maxSpeed = x; |
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147 |
return boid; |
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148 |
} |
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149 |
|
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150 |
boid.separationWeight = function(x) { |
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151 |
if (!arguments.length) return separationWeight; |
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152 |
separationWeight = x; |
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153 |
return boid; |
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154 |
} |
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155 |
|
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156 |
boid.alignmentWeight = function(x) { |
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157 |
if (!arguments.length) return alignmentWeight; |
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158 |
alignmentWeight = x; |
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159 |
return boid; |
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160 |
} |
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161 |
|
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162 |
boid.cohesionWeight = function(x) { |
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163 |
if (!arguments.length) return cohesionWeight; |
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164 |
cohesionWeight = x; |
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165 |
return boid; |
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166 |
} |
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167 |
|
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168 |
boid.desiredSeparation = function(x) { |
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169 |
if (!arguments.length) return desiredSeparation; |
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170 |
desiredSeparation = x; |
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171 |
return boid; |
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172 |
} |
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173 |
|
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174 |
return boid; |
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175 |
} |
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176 |
|
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177 |
function d3_ai_boidNormalize(a) { |
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178 |
var m = d3_ai_boidMagnitude(a); |
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179 |
if (m > 0) { |
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180 |
a[0] /= m; |
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181 |
a[1] /= m; |
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182 |
} |
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183 |
return a; |
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184 |
} |
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185 |
|
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186 |
function d3_ai_boidWrap(position) { |
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187 |
if (position[0] > w) position[0] = 0; |
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188 |
else if (position[0] < 0) position[0] = w; |
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189 |
if (position[1] > h) position[1] = 0; |
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190 |
else if (position[1] < 0) position[1] = h; |
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191 |
} |
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192 |
|
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193 |
function d3_ai_boidGravity(center, position, neighborRadius) { |
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194 |
if (center[0] != null) { |
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195 |
var m = d3_ai_boidSubtract(center.slice(), position), |
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196 |
d = d3_ai_boidMagnitude(m) - 10; |
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197 |
if (d > 0 && d < neighborRadius * 5) { |
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198 |
d3_ai_boidNormalize(m); |
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199 |
m[0] /= d; |
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200 |
m[1] /= d; |
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201 |
return m; |
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202 |
} |
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203 |
} |
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204 |
return [0, 0]; |
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205 |
} |
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206 |
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207 |
function d3_ai_boidDistance(a, b) { |
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208 |
var dx = a[0] - b[0], |
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209 |
dy = a[1] - b[1]; |
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210 |
if (dx > w / 2) dx = w - dx; |
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211 |
if (dy > h / 2) dy = h - dy; |
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212 |
return Math.sqrt(dx * dx + dy * dy); |
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213 |
} |
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214 |
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215 |
function d3_ai_boidSubtract(a, b) { |
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216 |
a[0] -= b[0]; |
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217 |
a[1] -= b[1]; |
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218 |
return a; |
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219 |
} |
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220 |
|
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221 |
function d3_ai_boidMagnitude(v) { |
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222 |
return Math.sqrt(v[0] * v[0] + v[1] * v[1]); |
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223 |
} |
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224 |
|
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225 |
function d3_ai_boidLimit(a, max) { |
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226 |
if (d3_ai_boidMagnitude(a) > max) { |
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227 |
d3_ai_boidNormalize(a); |
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228 |
a[0] *= max; |
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229 |
a[1] *= max; |
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230 |
} |
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231 |
return a; |
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232 |
} |
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233 |
|
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234 |
return boid; |
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235 |
})(); |