Batch analysis started.
Cases = 6
Runs per case = 500
Particles per run = 400
Stability trials / run = 20
Auto-select low modes = yes
[Random uniform]
run 1 / 500 Om=0.0094 Oo4=0.2308 Oo6=0.2424 Oe=0.1817
run 10 / 500 Om=0.0091 Oo4=0.2259 Oo6=0.2234 Oe=0.2097
run 20 / 500 Om=0.0093 Oo4=0.2170 Oo6=0.2169 Oe=0.1847
run 30 / 500 Om=0.0088 Oo4=0.2261 Oo6=0.2209 Oe=0.1609
run 40 / 500 Om=0.0094 Oo4=0.2334 Oo6=0.2399 Oe=0.1289
run 50 / 500 Om=0.0095 Oo4=0.2313 Oo6=0.2227 Oe=0.1505
run 60 / 500 Om=0.0095 Oo4=0.2427 Oo6=0.2201 Oe=0.1631
run 70 / 500 Om=0.0099 Oo4=0.2301 Oo6=0.2260 Oe=0.1922
run 80 / 500 Om=0.0094 Oo4=0.2204 Oo6=0.2117 Oe=0.2083
run 90 / 500 Om=0.0095 Oo4=0.2217 Oo6=0.2174 Oe=0.1442
run 100 / 500 Om=0.0090 Oo4=0.2271 Oo6=0.2204 Oe=0.2252
run 110 / 500 Om=0.0093 Oo4=0.2215 Oo6=0.2168 Oe=0.1826
run 120 / 500 Om=0.0092 Oo4=0.2303 Oo6=0.2209 Oe=0.1760
run 130 / 500 Om=0.0089 Oo4=0.2364 Oo6=0.2245 Oe=0.2049
run 140 / 500 Om=0.0091 Oo4=0.2285 Oo6=0.2242 Oe=0.1672
run 150 / 500 Om=0.0092 Oo4=0.2177 Oo6=0.2201 Oe=0.1464
run 160 / 500 Om=0.0091 Oo4=0.2221 Oo6=0.2229 Oe=0.1254
run 170 / 500 Om=0.0098 Oo4=0.2350 Oo6=0.2303 Oe=0.1884
run 180 / 500 Om=0.0093 Oo4=0.2161 Oo6=0.2376 Oe=0.1639
run 190 / 500 Om=0.0092 Oo4=0.2225 Oo6=0.2157 Oe=0.2305
run 200 / 500 Om=0.0092 Oo4=0.2328 Oo6=0.2073 Oe=0.2265
run 210 / 500 Om=0.0098 Oo4=0.2292 Oo6=0.2302 Oe=0.2262
run 220 / 500 Om=0.0091 Oo4=0.2267 Oo6=0.2266 Oe=0.2070
run 230 / 500 Om=0.0091 Oo4=0.2277 Oo6=0.2119 Oe=0.1843
run 240 / 500 Om=0.0090 Oo4=0.2208 Oo6=0.2352 Oe=0.1684
run 250 / 500 Om=0.0090 Oo4=0.2238 Oo6=0.2075 Oe=0.1647
run 260 / 500 Om=0.0095 Oo4=0.2047 Oo6=0.2333 Oe=0.1578
run 270 / 500 Om=0.0088 Oo4=0.2136 Oo6=0.2260 Oe=0.2157
run 280 / 500 Om=0.0092 Oo4=0.2093 Oo6=0.2304 Oe=0.2035
run 290 / 500 Om=0.0097 Oo4=0.2277 Oo6=0.2064 Oe=0.1343
run 300 / 500 Om=0.0094 Oo4=0.2274 Oo6=0.2320 Oe=0.1600
run 310 / 500 Om=0.0099 Oo4=0.2130 Oo6=0.2194 Oe=0.1575
run 320 / 500 Om=0.0089 Oo4=0.2140 Oo6=0.2249 Oe=0.1827
run 330 / 500 Om=0.0093 Oo4=0.2141 Oo6=0.2151 Oe=0.2012
run 340 / 500 Om=0.0093 Oo4=0.2245 Oo6=0.2258 Oe=0.1956
run 350 / 500 Om=0.0096 Oo4=0.2360 Oo6=0.2371 Oe=0.1440
run 360 / 500 Om=0.0092 Oo4=0.2355 Oo6=0.2226 Oe=0.1766
run 370 / 500 Om=0.0089 Oo4=0.2091 Oo6=0.2447 Oe=0.1676
run 380 / 500 Om=0.0088 Oo4=0.2092 Oo6=0.2138 Oe=0.1845
run 390 / 500 Om=0.0096 Oo4=0.2104 Oo6=0.2229 Oe=0.1699
run 400 / 500 Om=0.0092 Oo4=0.2189 Oo6=0.2304 Oe=0.1815
run 410 / 500 Om=0.0096 Oo4=0.2286 Oo6=0.2302 Oe=0.1556
run 420 / 500 Om=0.0089 Oo4=0.2269 Oo6=0.2133 Oe=0.2338
run 430 / 500 Om=0.0101 Oo4=0.2272 Oo6=0.2270 Oe=0.1842
run 440 / 500 Om=0.0087 Oo4=0.2274 Oo6=0.2293 Oe=0.2288
run 450 / 500 Om=0.0089 Oo4=0.2245 Oo6=0.2089 Oe=0.2020
run 460 / 500 Om=0.0095 Oo4=0.2110 Oo6=0.2186 Oe=0.1600
run 470 / 500 Om=0.0090 Oo4=0.2211 Oo6=0.2248 Oe=0.1499
run 480 / 500 Om=0.0103 Oo4=0.2117 Oo6=0.2331 Oe=0.1511
run 490 / 500 Om=0.0092 Oo4=0.2232 Oo6=0.2081 Oe=0.2337
run 500 / 500 Om=0.0093 Oo4=0.2266 Oo6=0.2240 Oe=0.1988
=== Random uniform : summary on 500 run ===
Shannon mean=0.904194 std=0.004796 min=0.890618 max=0.918053
chosen K mean=8.820000 std=0.843564 min=4.000000 max=11.000000
eigengap mean=0.088965 std=0.018492 min=0.048652 max=0.144359
roughness R mean=0.000177 std=0.000018 min=0.000093 max=0.000233
spectral concentration mean=0.855059 std=0.013680 min=0.814163 max=0.929031
metamorphic stability mean=0.999535 std=0.000043 min=0.999293 max=0.999736
omega mean=0.853456 std=0.013811 min=0.812072 max=0.928092
Om mean=0.009287 std=0.000285 min=0.008606 max=0.010532
Oo4 mean=0.223159 std=0.008563 min=0.197744 max=0.247819
Oo6 mean=0.222591 std=0.008511 min=0.199613 max=0.244693
Oe mean=0.174267 std=0.029562 min=0.097796 max=0.287206
mean q4 mean=0.365990 std=0.010132 min=0.337591 max=0.394193
cv q4 mean=0.495075 std=0.018091 min=0.449397 max=0.549878
mean q6 mean=0.365441 std=0.010158 min=0.336981 max=0.391637
cv q6 mean=0.496114 std=0.017362 min=0.454132 max=0.550330
mean nn mean=0.025061 std=0.000664 min=0.022988 max=0.027415
cv nn mean=0.520928 std=0.024085 min=0.463942 max=0.601555
fraction short nn mean=0.318945 std=0.023930 min=0.227500 max=0.385000
Example Random uniform:
Shannon = 0.902511
K = 9
eigengap= 0.118679
Om = 0.009391
Oo4 = 0.230849
Oo6 = 0.242385
Oe = 0.181671
images: random_uniform_particles.ppm random_uniform_entropy_map.ppm
[Gaussian blobs]
run 1 / 500 Om=0.0345 Oo4=0.2199 Oo6=0.2292 Oe=0.0058
run 10 / 500 Om=0.0316 Oo4=0.2243 Oo6=0.2456 Oe=0.0325
run 20 / 500 Om=0.0288 Oo4=0.2202 Oo6=0.2273 Oe=0.0248
run 30 / 500 Om=0.0283 Oo4=0.2416 Oo6=0.2317 Oe=0.0246
run 40 / 500 Om=0.0271 Oo4=0.2282 Oo6=0.2359 Oe=0.0467
run 50 / 500 Om=0.0328 Oo4=0.2205 Oo6=0.2286 Oe=0.0471
run 60 / 500 Om=0.0286 Oo4=0.2249 Oo6=0.2223 Oe=0.0054
run 70 / 500 Om=0.0296 Oo4=0.2162 Oo6=0.2030 Oe=0.0716
run 80 / 500 Om=0.0268 Oo4=0.2078 Oo6=0.2258 Oe=0.0211
run 90 / 500 Om=0.0305 Oo4=0.2239 Oo6=0.2241 Oe=0.0026
run 100 / 500 Om=0.0296 Oo4=0.2261 Oo6=0.2228 Oe=0.0358
run 110 / 500 Om=0.0252 Oo4=0.2077 Oo6=0.2049 Oe=0.0089
run 120 / 500 Om=0.0325 Oo4=0.2052 Oo6=0.2301 Oe=0.0166
run 130 / 500 Om=0.0272 Oo4=0.2204 Oo6=0.2363 Oe=0.0947
run 140 / 500 Om=0.0256 Oo4=0.2208 Oo6=0.2138 Oe=0.0418
run 150 / 500 Om=0.0266 Oo4=0.2267 Oo6=0.2263 Oe=0.0681
run 160 / 500 Om=0.0278 Oo4=0.2303 Oo6=0.2246 Oe=0.0262
run 170 / 500 Om=0.0332 Oo4=0.2291 Oo6=0.2254 Oe=0.0512
run 180 / 500 Om=0.0304 Oo4=0.2270 Oo6=0.2347 Oe=0.0647
run 190 / 500 Om=0.0312 Oo4=0.2164 Oo6=0.2172 Oe=0.0144
run 200 / 500 Om=0.0263 Oo4=0.2061 Oo6=0.2215 Oe=0.0273
run 210 / 500 Om=0.0341 Oo4=0.2079 Oo6=0.2374 Oe=0.0099
run 220 / 500 Om=0.0282 Oo4=0.2367 Oo6=0.2257 Oe=0.0320
run 230 / 500 Om=0.0323 Oo4=0.2162 Oo6=0.2280 Oe=0.0345
run 240 / 500 Om=0.0297 Oo4=0.2272 Oo6=0.2132 Oe=0.0341
run 250 / 500 Om=0.0284 Oo4=0.2254 Oo6=0.2234 Oe=0.0379
run 260 / 500 Om=0.0256 Oo4=0.2112 Oo6=0.2249 Oe=0.0502
run 270 / 500 Om=0.0241 Oo4=0.2306 Oo6=0.2252 Oe=0.0037
run 280 / 500 Om=0.0300 Oo4=0.2267 Oo6=0.2277 Oe=0.0349
run 290 / 500 Om=0.0317 Oo4=0.2297 Oo6=0.2297 Oe=0.0394
run 300 / 500 Om=0.0382 Oo4=0.2189 Oo6=0.2164 Oe=0.0329
run 310 / 500 Om=0.0267 Oo4=0.2212 Oo6=0.2376 Oe=0.0186
run 320 / 500 Om=0.0280 Oo4=0.2128 Oo6=0.2246 Oe=0.0575
run 330 / 500 Om=0.0255 Oo4=0.2201 Oo6=0.2233 Oe=0.0345
run 340 / 500 Om=0.0325 Oo4=0.2469 Oo6=0.2234 Oe=0.0245
run 350 / 500 Om=0.0255 Oo4=0.2334 Oo6=0.2330 Oe=0.0271
run 360 / 500 Om=0.0283 Oo4=0.2050 Oo6=0.2129 Oe=0.0539
run 370 / 500 Om=0.0272 Oo4=0.2175 Oo6=0.2095 Oe=0.0196
run 380 / 500 Om=0.0351 Oo4=0.2162 Oo6=0.2154 Oe=0.0226
run 390 / 500 Om=0.0249 Oo4=0.2268 Oo6=0.2130 Oe=0.0512
run 400 / 500 Om=0.0325 Oo4=0.2056 Oo6=0.2134 Oe=0.0042
run 410 / 500 Om=0.0268 Oo4=0.2365 Oo6=0.2435 Oe=0.0263
run 420 / 500 Om=0.0276 Oo4=0.2366 Oo6=0.2248 Oe=0.0276
run 430 / 500 Om=0.0298 Oo4=0.2243 Oo6=0.2261 Oe=0.0290
run 440 / 500 Om=0.0251 Oo4=0.2098 Oo6=0.2332 Oe=0.0403
run 450 / 500 Om=0.0342 Oo4=0.2225 Oo6=0.2073 Oe=0.0313
run 460 / 500 Om=0.0283 Oo4=0.2283 Oo6=0.2180 Oe=0.0245
run 470 / 500 Om=0.0275 Oo4=0.2210 Oo6=0.2196 Oe=0.0626
run 480 / 500 Om=0.0290 Oo4=0.2272 Oo6=0.2081 Oe=0.0602
run 490 / 500 Om=0.0263 Oo4=0.2166 Oo6=0.2247 Oe=0.0000
run 500 / 500 Om=0.0357 Oo4=0.2197 Oo6=0.2243 Oe=0.0259
=== Gaussian blobs : summary on 500 run ===
Shannon mean=0.692264 std=0.019447 min=0.620694 max=0.731950
chosen K mean=4.788000 std=0.958674 min=3.000000 max=6.000000
eigengap mean=0.379766 std=0.105425 min=0.148633 max=0.683232
roughness R mean=0.000088 std=0.000061 min=0.000019 max=0.000385
spectral concentration mean=0.929393 std=0.049372 min=0.742679 max=0.999931
metamorphic stability mean=0.999816 std=0.000089 min=0.999379 max=0.999928
omega mean=0.928597 std=0.049819 min=0.739936 max=0.999698
Om mean=0.029306 std=0.003509 min=0.022684 max=0.043409
Oo4 mean=0.222509 std=0.008931 min=0.195078 max=0.249042
Oo6 mean=0.222749 std=0.008587 min=0.200978 max=0.246868
Oe mean=0.033419 std=0.018600 min=0.000000 max=0.100168
mean q4 mean=0.365606 std=0.010634 min=0.329649 max=0.397667
cv q4 mean=0.496973 std=0.017486 min=0.449585 max=0.556370
mean q6 mean=0.365593 std=0.009893 min=0.337611 max=0.395443
cv q6 mean=0.495855 std=0.017576 min=0.444727 max=0.540716
mean nn mean=0.011435 std=0.000769 min=0.009061 max=0.013243
cv nn mean=0.799787 std=0.063083 min=0.639611 max=1.027630
fraction short nn mean=0.422425 std=0.027065 min=0.340000 max=0.512500
Example Gaussian blobs:
Shannon = 0.662934
K = 4
eigengap= 0.303640
Om = 0.034489
Oo4 = 0.219883
Oo6 = 0.229248
Oe = 0.005786
images: gaussian_blobs_particles.ppm gaussian_blobs_entropy_map.ppm
[Hex clustered]
run 1 / 500 Om=0.0233 Oo4=0.1651 Oo6=0.2406 Oe=0.6195
run 10 / 500 Om=0.0228 Oo4=0.1634 Oo6=0.2357 Oe=0.6202
run 20 / 500 Om=0.0235 Oo4=0.1473 Oo6=0.2236 Oe=0.6410
run 30 / 500 Om=0.0234 Oo4=0.1470 Oo6=0.2360 Oe=0.6157
run 40 / 500 Om=0.0232 Oo4=0.1487 Oo6=0.2340 Oe=0.6003
run 50 / 500 Om=0.0230 Oo4=0.1652 Oo6=0.2308 Oe=0.6098
run 60 / 500 Om=0.0236 Oo4=0.1638 Oo6=0.2195 Oe=0.6164
run 70 / 500 Om=0.0233 Oo4=0.1588 Oo6=0.2171 Oe=0.6411
run 80 / 500 Om=0.0230 Oo4=0.1541 Oo6=0.2453 Oe=0.6335
run 90 / 500 Om=0.0229 Oo4=0.1494 Oo6=0.2163 Oe=0.5932
run 100 / 500 Om=0.0230 Oo4=0.1603 Oo6=0.2254 Oe=0.6275
run 110 / 500 Om=0.0227 Oo4=0.1550 Oo6=0.2326 Oe=0.6214
run 120 / 500 Om=0.0233 Oo4=0.1502 Oo6=0.2281 Oe=0.6255
run 130 / 500 Om=0.0238 Oo4=0.1538 Oo6=0.2186 Oe=0.6325
run 140 / 500 Om=0.0231 Oo4=0.1622 Oo6=0.2289 Oe=0.5913
run 150 / 500 Om=0.0229 Oo4=0.1659 Oo6=0.2216 Oe=0.6259
run 160 / 500 Om=0.0238 Oo4=0.1532 Oo6=0.2402 Oe=0.6138
run 170 / 500 Om=0.0236 Oo4=0.1566 Oo6=0.2274 Oe=0.6045
run 180 / 500 Om=0.0231 Oo4=0.1619 Oo6=0.2325 Oe=0.6388
run 190 / 500 Om=0.0237 Oo4=0.1562 Oo6=0.2417 Oe=0.6529
run 200 / 500 Om=0.0229 Oo4=0.1578 Oo6=0.2345 Oe=0.6242
run 210 / 500 Om=0.0233 Oo4=0.1458 Oo6=0.2306 Oe=0.6417
run 220 / 500 Om=0.0238 Oo4=0.1583 Oo6=0.2328 Oe=0.6242
run 230 / 500 Om=0.0235 Oo4=0.1607 Oo6=0.2572 Oe=0.5803
run 240 / 500 Om=0.0230 Oo4=0.1542 Oo6=0.2408 Oe=0.6176
run 250 / 500 Om=0.0234 Oo4=0.1549 Oo6=0.2182 Oe=0.6262
run 260 / 500 Om=0.0231 Oo4=0.1461 Oo6=0.2219 Oe=0.5968
run 270 / 500 Om=0.0234 Oo4=0.1509 Oo6=0.2221 Oe=0.6026
run 280 / 500 Om=0.0232 Oo4=0.1605 Oo6=0.2257 Oe=0.6115
run 290 / 500 Om=0.0232 Oo4=0.1473 Oo6=0.2316 Oe=0.6252
run 300 / 500 Om=0.0230 Oo4=0.1599 Oo6=0.2227 Oe=0.5770
run 310 / 500 Om=0.0231 Oo4=0.1625 Oo6=0.2242 Oe=0.6062
run 320 / 500 Om=0.0233 Oo4=0.1467 Oo6=0.2344 Oe=0.6243
run 330 / 500 Om=0.0230 Oo4=0.1540 Oo6=0.2343 Oe=0.6037
run 340 / 500 Om=0.0231 Oo4=0.1551 Oo6=0.2269 Oe=0.5682
run 350 / 500 Om=0.0231 Oo4=0.1564 Oo6=0.2254 Oe=0.5960
run 360 / 500 Om=0.0236 Oo4=0.1549 Oo6=0.2319 Oe=0.5966
run 370 / 500 Om=0.0232 Oo4=0.1521 Oo6=0.2321 Oe=0.6003
run 380 / 500 Om=0.0230 Oo4=0.1643 Oo6=0.2249 Oe=0.5790
run 390 / 500 Om=0.0230 Oo4=0.1472 Oo6=0.2233 Oe=0.6242
run 400 / 500 Om=0.0228 Oo4=0.1502 Oo6=0.2312 Oe=0.6300
run 410 / 500 Om=0.0231 Oo4=0.1594 Oo6=0.2203 Oe=0.6693
run 420 / 500 Om=0.0235 Oo4=0.1591 Oo6=0.2308 Oe=0.6107
run 430 / 500 Om=0.0234 Oo4=0.1592 Oo6=0.2239 Oe=0.6280
run 440 / 500 Om=0.0232 Oo4=0.1525 Oo6=0.2463 Oe=0.6282
run 450 / 500 Om=0.0230 Oo4=0.1610 Oo6=0.2238 Oe=0.6340
run 460 / 500 Om=0.0231 Oo4=0.1544 Oo6=0.2237 Oe=0.6224
run 470 / 500 Om=0.0231 Oo4=0.1544 Oo6=0.2138 Oe=0.6213
run 480 / 500 Om=0.0231 Oo4=0.1520 Oo6=0.2361 Oe=0.6063
run 490 / 500 Om=0.0236 Oo4=0.1576 Oo6=0.2246 Oe=0.6094
run 500 / 500 Om=0.0232 Oo4=0.1487 Oo6=0.2256 Oe=0.6278
=== Hex clustered : summary on 500 run ===
Shannon mean=0.746818 std=0.002289 min=0.739594 max=0.753091
chosen K mean=7.000000 std=0.000000 min=7.000000 max=7.000000
eigengap mean=0.591288 std=0.003073 min=0.581782 max=0.598360
roughness R mean=0.000024 std=0.000000 min=0.000023 max=0.000025
spectral concentration mean=0.972186 std=0.000273 min=0.971428 max=0.973056
metamorphic stability mean=0.999917 std=0.000002 min=0.999912 max=0.999922
omega mean=0.971920 std=0.000274 min=0.971156 max=0.972795
Om mean=0.023225 std=0.000267 min=0.022504 max=0.024087
Oo4 mean=0.156650 std=0.006011 min=0.141926 max=0.175599
Oo6 mean=0.230543 std=0.008375 min=0.208675 max=0.257176
Oe mean=0.615346 std=0.021431 min=0.542509 max=0.669334
mean q4 mean=0.261199 std=0.007283 min=0.241871 max=0.281758
cv q4 mean=0.511619 std=0.019740 min=0.458503 max=0.566117
mean q6 mean=0.382099 std=0.010259 min=0.351901 max=0.409386
cv q6 mean=0.505540 std=0.017146 min=0.464744 max=0.553406
mean nn mean=0.015594 std=0.000165 min=0.015140 max=0.016150
cv nn mean=0.269263 std=0.007000 min=0.248069 max=0.290035
fraction short nn mean=0.079015 std=0.012177 min=0.050000 max=0.125000
Example Hex clustered:
Shannon = 0.745969
K = 7
eigengap= 0.593759
Om = 0.023331
Oo4 = 0.165076
Oo6 = 0.240568
Oe = 0.619451
images: hex_clustered_particles.ppm hex_clustered_entropy_map.ppm
[Square clustered]
run 1 / 500 Om=0.0231 Oo4=0.1817 Oo6=0.2149 Oe=0.6289
run 10 / 500 Om=0.0231 Oo4=0.1815 Oo6=0.2089 Oe=0.6156
run 20 / 500 Om=0.0231 Oo4=0.1745 Oo6=0.2114 Oe=0.5942
run 30 / 500 Om=0.0230 Oo4=0.1737 Oo6=0.2084 Oe=0.6167
run 40 / 500 Om=0.0228 Oo4=0.1769 Oo6=0.1997 Oe=0.6354
run 50 / 500 Om=0.0231 Oo4=0.1758 Oo6=0.2019 Oe=0.6095
run 60 / 500 Om=0.0233 Oo4=0.1768 Oo6=0.1975 Oe=0.6028
run 70 / 500 Om=0.0229 Oo4=0.1752 Oo6=0.1951 Oe=0.6201
run 80 / 500 Om=0.0234 Oo4=0.1784 Oo6=0.1966 Oe=0.5806
run 90 / 500 Om=0.0234 Oo4=0.1823 Oo6=0.1985 Oe=0.5907
run 100 / 500 Om=0.0233 Oo4=0.1790 Oo6=0.1994 Oe=0.6144
run 110 / 500 Om=0.0228 Oo4=0.1792 Oo6=0.2101 Oe=0.5763
run 120 / 500 Om=0.0233 Oo4=0.1719 Oo6=0.1912 Oe=0.6458
run 130 / 500 Om=0.0232 Oo4=0.1769 Oo6=0.2021 Oe=0.6187
run 140 / 500 Om=0.0231 Oo4=0.1764 Oo6=0.2045 Oe=0.6043
run 150 / 500 Om=0.0233 Oo4=0.1842 Oo6=0.2007 Oe=0.5900
run 160 / 500 Om=0.0232 Oo4=0.1930 Oo6=0.1954 Oe=0.6249
run 170 / 500 Om=0.0233 Oo4=0.1689 Oo6=0.2075 Oe=0.6062
run 180 / 500 Om=0.0231 Oo4=0.1809 Oo6=0.2038 Oe=0.6174
run 190 / 500 Om=0.0233 Oo4=0.1720 Oo6=0.2068 Oe=0.5802
run 200 / 500 Om=0.0236 Oo4=0.1731 Oo6=0.2059 Oe=0.6421
run 210 / 500 Om=0.0232 Oo4=0.1760 Oo6=0.2088 Oe=0.5869
run 220 / 500 Om=0.0233 Oo4=0.1759 Oo6=0.1963 Oe=0.5878
run 230 / 500 Om=0.0233 Oo4=0.1796 Oo6=0.2116 Oe=0.5806
run 240 / 500 Om=0.0229 Oo4=0.1853 Oo6=0.2016 Oe=0.6493
run 250 / 500 Om=0.0227 Oo4=0.1732 Oo6=0.2007 Oe=0.5893
run 260 / 500 Om=0.0230 Oo4=0.1731 Oo6=0.2125 Oe=0.6029
run 270 / 500 Om=0.0236 Oo4=0.1782 Oo6=0.1986 Oe=0.6177
run 280 / 500 Om=0.0236 Oo4=0.1840 Oo6=0.2052 Oe=0.6074
run 290 / 500 Om=0.0230 Oo4=0.1784 Oo6=0.2092 Oe=0.6067
run 300 / 500 Om=0.0233 Oo4=0.1882 Oo6=0.2008 Oe=0.6133
run 310 / 500 Om=0.0229 Oo4=0.1688 Oo6=0.1993 Oe=0.6441
run 320 / 500 Om=0.0230 Oo4=0.1830 Oo6=0.2112 Oe=0.5601
run 330 / 500 Om=0.0234 Oo4=0.1780 Oo6=0.2134 Oe=0.6049
run 340 / 500 Om=0.0231 Oo4=0.1604 Oo6=0.1993 Oe=0.6146
run 350 / 500 Om=0.0234 Oo4=0.1797 Oo6=0.2128 Oe=0.6261
run 360 / 500 Om=0.0230 Oo4=0.1911 Oo6=0.2046 Oe=0.5999
run 370 / 500 Om=0.0231 Oo4=0.1832 Oo6=0.1961 Oe=0.6210
run 380 / 500 Om=0.0230 Oo4=0.1732 Oo6=0.2064 Oe=0.6088
run 390 / 500 Om=0.0238 Oo4=0.1751 Oo6=0.1936 Oe=0.6145
run 400 / 500 Om=0.0235 Oo4=0.1815 Oo6=0.1944 Oe=0.6201
run 410 / 500 Om=0.0232 Oo4=0.1721 Oo6=0.2092 Oe=0.6260
run 420 / 500 Om=0.0230 Oo4=0.1667 Oo6=0.1985 Oe=0.5948
run 430 / 500 Om=0.0231 Oo4=0.1774 Oo6=0.2022 Oe=0.5695
run 440 / 500 Om=0.0232 Oo4=0.1776 Oo6=0.2126 Oe=0.6427
run 450 / 500 Om=0.0234 Oo4=0.1820 Oo6=0.1974 Oe=0.5925
run 460 / 500 Om=0.0230 Oo4=0.1822 Oo6=0.2005 Oe=0.6275
run 470 / 500 Om=0.0238 Oo4=0.1747 Oo6=0.2029 Oe=0.6235
run 480 / 500 Om=0.0236 Oo4=0.1872 Oo6=0.2059 Oe=0.5944
run 490 / 500 Om=0.0233 Oo4=0.1885 Oo6=0.1981 Oe=0.6503
run 500 / 500 Om=0.0232 Oo4=0.1751 Oo6=0.1986 Oe=0.5894
=== Square clustered : summary on 500 run ===
Shannon mean=0.747335 std=0.002174 min=0.740945 max=0.753027
chosen K mean=7.000000 std=0.000000 min=7.000000 max=7.000000
eigengap mean=0.593489 std=0.003169 min=0.583737 max=0.603075
roughness R mean=0.000023 std=0.000000 min=0.000023 max=0.000024
spectral concentration mean=0.972337 std=0.000269 min=0.971508 max=0.973140
metamorphic stability mean=0.999918 std=0.000002 min=0.999912 max=0.999923
omega mean=0.972076 std=0.000271 min=0.971243 max=0.972883
Om mean=0.023169 std=0.000254 min=0.022512 max=0.023920
Oo4 mean=0.177773 std=0.006586 min=0.156907 max=0.199444
Oo6 mean=0.203414 std=0.007261 min=0.181438 max=0.225492
Oe mean=0.613155 std=0.021996 min=0.547764 max=0.679062
mean q4 mean=0.281970 std=0.007154 min=0.261174 max=0.309819
cv q4 mean=0.461661 std=0.018843 min=0.404291 max=0.526600
mean q6 mean=0.335805 std=0.008675 min=0.311188 max=0.361258
cv q6 mean=0.501592 std=0.017208 min=0.460682 max=0.547892
mean nn mean=0.015135 std=0.000158 min=0.014612 max=0.015551
cv nn mean=0.269575 std=0.006850 min=0.250625 max=0.293208
fraction short nn mean=0.080340 std=0.012537 min=0.045000 max=0.112500
Example Square clustered:
Shannon = 0.747587
K = 7
eigengap= 0.597660
Om = 0.023139
Oo4 = 0.181713
Oo6 = 0.214921
Oe = 0.628874
images: square_clustered_particles.ppm square_clustered_entropy_map.ppm
[Poisson disk]
run 1 / 500 Om=0.0072 Oo4=0.1757 Oo6=0.2181 Oe=0.8361
run 10 / 500 Om=0.0073 Oo4=0.1812 Oo6=0.2190 Oe=0.8390
run 20 / 500 Om=0.0074 Oo4=0.1616 Oo6=0.2035 Oe=0.8466
run 30 / 500 Om=0.0074 Oo4=0.1630 Oo6=0.2082 Oe=0.8473
run 40 / 500 Om=0.0073 Oo4=0.1705 Oo6=0.2021 Oe=0.8433
run 50 / 500 Om=0.0075 Oo4=0.1613 Oo6=0.2106 Oe=0.8569
run 60 / 500 Om=0.0073 Oo4=0.1787 Oo6=0.2058 Oe=0.8425
run 70 / 500 Om=0.0075 Oo4=0.1612 Oo6=0.2130 Oe=0.8430
run 80 / 500 Om=0.0073 Oo4=0.1689 Oo6=0.2148 Oe=0.8543
run 90 / 500 Om=0.0074 Oo4=0.1725 Oo6=0.2150 Oe=0.8561
run 100 / 500 Om=0.0077 Oo4=0.1766 Oo6=0.2099 Oe=0.8428
run 110 / 500 Om=0.0074 Oo4=0.1750 Oo6=0.1980 Oe=0.8561
run 120 / 500 Om=0.0074 Oo4=0.1715 Oo6=0.2147 Oe=0.8323
run 130 / 500 Om=0.0075 Oo4=0.1677 Oo6=0.2024 Oe=0.8587
run 140 / 500 Om=0.0074 Oo4=0.1640 Oo6=0.2184 Oe=0.8490
run 150 / 500 Om=0.0072 Oo4=0.1705 Oo6=0.2161 Oe=0.8479
run 160 / 500 Om=0.0073 Oo4=0.1676 Oo6=0.2126 Oe=0.8462
run 170 / 500 Om=0.0074 Oo4=0.1668 Oo6=0.2110 Oe=0.8474
run 180 / 500 Om=0.0071 Oo4=0.1612 Oo6=0.2218 Oe=0.8495
run 190 / 500 Om=0.0073 Oo4=0.1819 Oo6=0.2088 Oe=0.8439
run 200 / 500 Om=0.0075 Oo4=0.1773 Oo6=0.2067 Oe=0.8555
run 210 / 500 Om=0.0076 Oo4=0.1701 Oo6=0.2008 Oe=0.8444
run 220 / 500 Om=0.0074 Oo4=0.1661 Oo6=0.2210 Oe=0.8414
run 230 / 500 Om=0.0072 Oo4=0.1574 Oo6=0.2126 Oe=0.8551
run 240 / 500 Om=0.0073 Oo4=0.1801 Oo6=0.2135 Oe=0.8425
run 250 / 500 Om=0.0074 Oo4=0.1673 Oo6=0.2073 Oe=0.8480
run 260 / 500 Om=0.0076 Oo4=0.1736 Oo6=0.2171 Oe=0.8425
run 270 / 500 Om=0.0073 Oo4=0.1742 Oo6=0.2259 Oe=0.8370
run 280 / 500 Om=0.0075 Oo4=0.1753 Oo6=0.2164 Oe=0.8426
run 290 / 500 Om=0.0076 Oo4=0.1622 Oo6=0.2218 Oe=0.8447
run 300 / 500 Om=0.0073 Oo4=0.1712 Oo6=0.2092 Oe=0.8421
run 310 / 500 Om=0.0074 Oo4=0.1805 Oo6=0.1995 Oe=0.8413
run 320 / 500 Om=0.0072 Oo4=0.1743 Oo6=0.2126 Oe=0.8484
run 330 / 500 Om=0.0074 Oo4=0.1712 Oo6=0.2086 Oe=0.8532
run 340 / 500 Om=0.0076 Oo4=0.1654 Oo6=0.2082 Oe=0.8487
run 350 / 500 Om=0.0075 Oo4=0.1685 Oo6=0.2138 Oe=0.8557
run 360 / 500 Om=0.0074 Oo4=0.1719 Oo6=0.2153 Oe=0.8532
run 370 / 500 Om=0.0072 Oo4=0.1683 Oo6=0.2321 Oe=0.8450
run 380 / 500 Om=0.0073 Oo4=0.1632 Oo6=0.2028 Oe=0.8458
run 390 / 500 Om=0.0072 Oo4=0.1619 Oo6=0.2157 Oe=0.8535
run 400 / 500 Om=0.0074 Oo4=0.1750 Oo6=0.1957 Oe=0.8443
run 410 / 500 Om=0.0074 Oo4=0.1687 Oo6=0.1976 Oe=0.8370
run 420 / 500 Om=0.0077 Oo4=0.1741 Oo6=0.2100 Oe=0.8355
run 430 / 500 Om=0.0072 Oo4=0.1669 Oo6=0.2060 Oe=0.8472
run 440 / 500 Om=0.0074 Oo4=0.1574 Oo6=0.2010 Oe=0.8373
run 450 / 500 Om=0.0075 Oo4=0.1697 Oo6=0.2109 Oe=0.8510
run 460 / 500 Om=0.0072 Oo4=0.1691 Oo6=0.2082 Oe=0.8417
run 470 / 500 Om=0.0075 Oo4=0.1734 Oo6=0.2029 Oe=0.8424
run 480 / 500 Om=0.0075 Oo4=0.1650 Oo6=0.2118 Oe=0.8325
run 490 / 500 Om=0.0075 Oo4=0.1676 Oo6=0.1970 Oe=0.8473
run 500 / 500 Om=0.0075 Oo4=0.1656 Oo6=0.2141 Oe=0.8377
=== Poisson disk : summary on 500 run ===
Shannon mean=0.947505 std=0.003308 min=0.935486 max=0.957555
chosen K mean=9.000000 std=0.000000 min=9.000000 max=9.000000
eigengap mean=0.134132 std=0.011462 min=0.095933 max=0.159131
roughness R mean=0.000221 std=0.000002 min=0.000212 max=0.000229
spectral concentration mean=0.843787 std=0.000726 min=0.841748 max=0.846370
metamorphic stability mean=0.999512 std=0.000010 min=0.999476 max=0.999541
omega mean=0.841888 std=0.000737 min=0.839800 max=0.844501
Om mean=0.007376 std=0.000123 min=0.007013 max=0.007841
Oo4 mean=0.170092 std=0.006372 min=0.149464 max=0.190278
Oo6 mean=0.211466 std=0.007388 min=0.186890 max=0.232117
Oe mean=0.846448 std=0.006509 min=0.828461 max=0.868231
mean q4 mean=0.283805 std=0.007400 min=0.261470 max=0.304722
cv q4 mean=0.512311 std=0.018364 min=0.455514 max=0.578983
mean q6 mean=0.349521 std=0.008541 min=0.327385 max=0.375530
cv q6 mean=0.502812 std=0.017040 min=0.451870 max=0.560615
mean nn mean=0.036915 std=0.000289 min=0.035972 max=0.037700
cv nn mean=0.153552 std=0.006509 min=0.131769 max=0.171539
fraction short nn mean=0.000000 std=0.000000 min=0.000000 max=0.000000
Example Poisson disk:
Shannon = 0.951618
K = 9
eigengap= 0.142904
Om = 0.007221
Oo4 = 0.175738
Oo6 = 0.218139
Oe = 0.836143
images: poisson_disk_particles.ppm poisson_disk_entropy_map.ppm
[Density gradient]
run 1 / 500 Om=0.0098 Oo4=0.2354 Oo6=0.2303 Oe=0.1507
run 10 / 500 Om=0.0093 Oo4=0.2316 Oo6=0.2221 Oe=0.1922
run 20 / 500 Om=0.0100 Oo4=0.2313 Oo6=0.2272 Oe=0.1057
run 30 / 500 Om=0.0102 Oo4=0.2203 Oo6=0.2385 Oe=0.1226
run 40 / 500 Om=0.0098 Oo4=0.2134 Oo6=0.2199 Oe=0.2107
run 50 / 500 Om=0.0109 Oo4=0.2298 Oo6=0.2190 Oe=0.1604
run 60 / 500 Om=0.0101 Oo4=0.2141 Oo6=0.2163 Oe=0.1272
run 70 / 500 Om=0.0102 Oo4=0.2330 Oo6=0.2051 Oe=0.0984
run 80 / 500 Om=0.0096 Oo4=0.2294 Oo6=0.2243 Oe=0.1745
run 90 / 500 Om=0.0109 Oo4=0.2198 Oo6=0.2133 Oe=0.1294
run 100 / 500 Om=0.0098 Oo4=0.2102 Oo6=0.2126 Oe=0.1923
run 110 / 500 Om=0.0093 Oo4=0.2253 Oo6=0.2104 Oe=0.1434
run 120 / 500 Om=0.0110 Oo4=0.2372 Oo6=0.2383 Oe=0.1036
run 130 / 500 Om=0.0095 Oo4=0.2174 Oo6=0.2180 Oe=0.1247
run 140 / 500 Om=0.0098 Oo4=0.2236 Oo6=0.2077 Oe=0.1117
run 150 / 500 Om=0.0096 Oo4=0.2417 Oo6=0.2341 Oe=0.1151
run 160 / 500 Om=0.0102 Oo4=0.2241 Oo6=0.2205 Oe=0.1436
run 170 / 500 Om=0.0095 Oo4=0.2180 Oo6=0.2349 Oe=0.1676
run 180 / 500 Om=0.0096 Oo4=0.2232 Oo6=0.2186 Oe=0.1727
run 190 / 500 Om=0.0102 Oo4=0.2365 Oo6=0.2207 Oe=0.1421
run 200 / 500 Om=0.0097 Oo4=0.2305 Oo6=0.2270 Oe=0.1303
run 210 / 500 Om=0.0094 Oo4=0.2111 Oo6=0.2249 Oe=0.1650
run 220 / 500 Om=0.0100 Oo4=0.2208 Oo6=0.2298 Oe=0.1169
run 230 / 500 Om=0.0096 Oo4=0.2228 Oo6=0.2123 Oe=0.1783
run 240 / 500 Om=0.0092 Oo4=0.2221 Oo6=0.2234 Oe=0.1821
run 250 / 500 Om=0.0100 Oo4=0.2189 Oo6=0.2137 Oe=0.1263
run 260 / 500 Om=0.0096 Oo4=0.2222 Oo6=0.2185 Oe=0.1611
run 270 / 500 Om=0.0101 Oo4=0.2223 Oo6=0.2296 Oe=0.1131
run 280 / 500 Om=0.0093 Oo4=0.2333 Oo6=0.2011 Oe=0.1101
run 290 / 500 Om=0.0099 Oo4=0.2277 Oo6=0.2291 Oe=0.1291
run 300 / 500 Om=0.0101 Oo4=0.2240 Oo6=0.2307 Oe=0.1680
run 310 / 500 Om=0.0100 Oo4=0.2354 Oo6=0.2318 Oe=0.1549
run 320 / 500 Om=0.0096 Oo4=0.2148 Oo6=0.2139 Oe=0.1576
run 330 / 500 Om=0.0098 Oo4=0.2294 Oo6=0.2242 Oe=0.1242
run 340 / 500 Om=0.0098 Oo4=0.2185 Oo6=0.2199 Oe=0.1238
run 350 / 500 Om=0.0107 Oo4=0.2412 Oo6=0.2206 Oe=0.1248
run 360 / 500 Om=0.0096 Oo4=0.2215 Oo6=0.2376 Oe=0.1488
run 370 / 500 Om=0.0097 Oo4=0.2231 Oo6=0.2325 Oe=0.1275
run 380 / 500 Om=0.0098 Oo4=0.2201 Oo6=0.2222 Oe=0.1284
run 390 / 500 Om=0.0095 Oo4=0.2165 Oo6=0.2115 Oe=0.2178
run 400 / 500 Om=0.0097 Oo4=0.2379 Oo6=0.2141 Oe=0.1146
run 410 / 500 Om=0.0109 Oo4=0.2326 Oo6=0.2398 Oe=0.1047
run 420 / 500 Om=0.0101 Oo4=0.2101 Oo6=0.2222 Oe=0.1581
run 430 / 500 Om=0.0098 Oo4=0.2389 Oo6=0.2170 Oe=0.1475
run 440 / 500 Om=0.0094 Oo4=0.2241 Oo6=0.2243 Oe=0.1302
run 450 / 500 Om=0.0096 Oo4=0.2400 Oo6=0.2191 Oe=0.1345
run 460 / 500 Om=0.0107 Oo4=0.2305 Oo6=0.2446 Oe=0.1301
run 470 / 500 Om=0.0101 Oo4=0.2337 Oo6=0.2148 Oe=0.1254
run 480 / 500 Om=0.0096 Oo4=0.2173 Oo6=0.2245 Oe=0.1546
run 490 / 500 Om=0.0100 Oo4=0.2227 Oo6=0.2182 Oe=0.1442
run 500 / 500 Om=0.0096 Oo4=0.2159 Oo6=0.2083 Oe=0.1533
=== Density gradient : summary on 500 run ===
Shannon mean=0.892736 std=0.005608 min=0.874219 max=0.906873
chosen K mean=8.236000 std=1.340263 min=3.000000 max=11.000000
eigengap mean=0.071826 std=0.014311 min=0.045874 max=0.130741
roughness R mean=0.000162 std=0.000025 min=0.000067 max=0.000254
spectral concentration mean=0.857641 std=0.022889 min=0.796730 max=0.950541
metamorphic stability mean=0.999533 std=0.000076 min=0.999231 max=0.999800
omega mean=0.856134 std=0.023080 min=0.794501 max=0.949827
Om mean=0.009867 std=0.000409 min=0.009018 max=0.011562
Oo4 mean=0.223815 std=0.008195 min=0.203349 max=0.248547
Oo6 mean=0.223283 std=0.008500 min=0.201115 max=0.249994
Oe mean=0.138969 std=0.025818 min=0.072582 max=0.219177
mean q4 mean=0.366728 std=0.009764 min=0.343172 max=0.400220
cv q4 mean=0.494115 std=0.016987 min=0.447812 max=0.543287
mean q6 mean=0.366298 std=0.009843 min=0.339239 max=0.391132
cv q6 mean=0.495370 std=0.017660 min=0.447609 max=0.553643
mean nn mean=0.024331 std=0.000697 min=0.022290 max=0.026536
cv nn mean=0.570232 std=0.029250 min=0.494795 max=0.670083
fraction short nn mean=0.339260 std=0.021739 min=0.277500 max=0.407500
Example Density gradient:
Shannon = 0.889556
K = 9
eigengap= 0.063708
Om = 0.009826
Oo4 = 0.235384
Oo6 = 0.230335
Oe = 0.150650
images: density_gradient_particles.ppm density_gradient_entropy_map.ppm
Written files:
batch_runs_final.csv
batch_summary_final.csv
*_particles.ppm
*_entropy_map.ppm
Note: Om penalizes simple concentration via Shannon entropy,
while Oo4, Oo6, and Oe distinguish 4-, 6-symmetries
and exclusion/uniform spacing, respectively.