Experiments to find the best mercator projection function for use by libosmium.
Compare results of different algorithms.
Run benchmark comparing different implementations. Note that these benchmarks use uniformly distributed random numbers which don't represent actual numbers in OSM well.
Run statistics on the distribution of latitude values in OSM. This is the result from 2016-12-21:
| degree | count | percent |
|---|---|---|
| 0 | 12008881 | 0.33% |
| 1 | 17762590 | 0.49% |
| 2 | 9064484 | 0.25% |
| 3 | 14286757 | 0.39% |
| 4 | 17684240 | 0.48% |
| 5 | 16943942 | 0.46% |
| 6 | 22740428 | 0.62% |
| 7 | 24304089 | 0.67% |
| 8 | 20050603 | 0.55% |
| 9 | 17727349 | 0.49% |
| 10 | 18704372 | 0.51% |
| 11 | 18084987 | 0.49% |
| 12 | 19083560 | 0.52% |
| 13 | 17892790 | 0.49% |
| 14 | 23464741 | 0.64% |
| 15 | 15365604 | 0.42% |
| 16 | 17829984 | 0.49% |
| 17 | 20095527 | 0.55% |
| 18 | 25793449 | 0.71% |
| 19 | 19541694 | 0.53% |
| 20 | 17382722 | 0.48% |
| 21 | 14017581 | 0.38% |
| 22 | 19047975 | 0.52% |
| 23 | 18238732 | 0.50% |
| 24 | 13666258 | 0.37% |
| 25 | 14787576 | 0.40% |
| 26 | 18840869 | 0.52% |
| 27 | 27827341 | 0.76% |
| 28 | 26152310 | 0.72% |
| 29 | 35748941 | 0.98% |
| 30 | 36429620 | 1.00% |
| 31 | 28542067 | 0.78% |
| 32 | 37653401 | 1.03% |
| 33 | 65088262 | 1.78% |
| 34 | 79722859 | 2.18% |
| 35 | 84125327 | 2.30% |
| 36 | 73319083 | 2.01% |
| 37 | 75865865 | 2.08% |
| 38 | 70869723 | 1.94% |
| 39 | 74718802 | 2.04% |
| 40 | 87981378 | 2.41% |
| 41 | 91058820 | 2.49% |
| 42 | 98554193 | 2.70% |
| 43 | 126460316 | 3.46% |
| 44 | 120349195 | 3.29% |
| 45 | 158285354 | 4.33% |
| 46 | 143499424 | 3.93% |
| 47 | 164812088 | 4.51% |
| 48 | 195168653 | 5.34% |
| 49 | 174650223 | 4.78% |
| 50 | 184564170 | 5.05% |
| 51 | 187561628 | 5.13% |
| 52 | 151327838 | 4.14% |
| 53 | 107258963 | 2.93% |
| 54 | 68001779 | 1.86% |
| 55 | 68246437 | 1.87% |
| 56 | 48965777 | 1.34% |
| 57 | 30921736 | 0.85% |
| 58 | 31927914 | 0.87% |
| 59 | 37734211 | 1.03% |
| 60 | 39452857 | 1.08% |
| 61 | 32986848 | 0.90% |
| 62 | 23017847 | 0.63% |
| 63 | 20143691 | 0.55% |
| 64 | 13580210 | 0.37% |
| 65 | 7352543 | 0.20% |
| 66 | 8681265 | 0.24% |
| 67 | 6089092 | 0.17% |
| 68 | 7778302 | 0.21% |
| 69 | 7343956 | 0.20% |
| 70 | 3073368 | 0.08% |
| 71 | 1331738 | 0.04% |
| 72 | 747441 | 0.02% |
| 73 | 597278 | 0.02% |
| 74 | 433194 | 0.01% |
| 75 | 501785 | 0.01% |
| 76 | 404051 | 0.01% |
| 77 | 373793 | 0.01% |
| 78 | 337416 | 0.01% |
| 79 | 307339 | 0.01% |
| 80 | 462390 | 0.01% |
| 81 | 255295 | 0.01% |
| 82 | 1027907 | 0.03% |
| 83 | 143650 | 0.00% |
| 84 | 108233 | 0.00% |
| 85 | 94760 | 0.00% |
| 86 | 49008 | 0.00% |
| 87 | 1149 | 0.00% |
| 88 | 0 | 0.00% |
| 89 | 3300 | 0.00% |
| 90 | 41 | 0.00% |
| total | 3654485229 | 100% |