c0a7033295
The 0x50 header word, which the first section of this page had dismissed as "a
large value", is two u16 counts: vertices and triangles. They give the two
remaining blocks their stride, and every derived length is exact in 11/11 --
len(0x54) == align16(12*nv), len(0x58) == align16(6*nt), and nt equals the
bounding-sphere count decoded last iteration.
Checks that cannot pass by accident:
* sphere i is the TIGHT bounding sphere of triangle i, 4768/4768, with
max|v-c|/r median 0.99990 (a fixed 1.0001 epsilon), against a 1.32%
random-triangle control;
* the mesh is watertight -- every edge shared by exactly two triangles,
7152/7152, zero degenerate triangles, zero unreferenced vertices;
* the two smallest objects are 8 vertices and 12 triangles whose positions
are the eight +-250000 corners of the map bbox: a bare bounding cube.
The cell lists are a correct broad phase: with an exact triangle/box SAT test
only 3 overlapping triangles in 18 577 entries are absent, so a query walking
one cell's list cannot miss a hit. The 730 conservative extras bracket the
builder's own test between exact-SAT and AABB, which retires the 18 unexplained
"sphere misses" from the previous commit as that same margin.
mcol_probe.py gains `mesh` and `obj`; `verify` now runs all three checks and its
output is recorded in docs/re/data/mcol-verify.txt.
41 lines
1.9 KiB
Plaintext
41 lines
1.9 KiB
Plaintext
object len(0x5C) /12 /16 max u16
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2cf7eb47 960 80.00 60 59 max == n-1
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cbb99d34 192 16.00 12 11 max == n-1
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d84a95fb 3488 290.67 * 218 217 max == n-1
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db066592 12640 1053.33 * 790 789 max == n-1
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db61c506 2144 178.67 * 134 133 max == n-1
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dc44fe0c 2784 232.00 174 173 max == n-1
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dc4b0896 14784 1232.00 924 923 max == n-1
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dd89a110 18624 1552.00 1164 1163 max == n-1
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df4628c2 4160 346.67 * 260 259 max == n-1
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e084c13c 192 16.00 12 11 max == n-1
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e16460cf 16320 1360.00 1020 1019 max == n-1
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length divisible by 12: 7/11 max u16 == len/16 - 1: 11/11
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referenced sphere reaches its own cell : 18559/18577 = 99.90%
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random sphere, same object (control) : 2233/18577 = 12.02%
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object verts tris len 0x54 len 0x58 spheres
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2cf7eb47 34 60 416 368 60
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cbb99d34 8 12 96 80 12
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d84a95fb 111 218 1344 1312 218
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db066592 405 790 4864 4752 790
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db61c506 73 134 880 816 134
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dc44fe0c 89 174 1072 1056 174
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dc4b0896 502 924 6032 5552 924
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dd89a110 632 1164 7584 6992 1164
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df4628c2 134 260 1616 1568 260
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e084c13c 8 12 96 80 12
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e16460cf 554 1020 6656 6128 1020
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len(0x54) == align16(12 * verts) : 11/11
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len(0x58) == align16(6 * tris) : 11/11
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triangle count == sphere count : 11/11
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sphere i encloses triangle i : 4768/4768 = 100.00%
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...and is tight to within 1% : 4768/4768 = 100.00%
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sphere i encloses a random triangle (ctl) : 63/4768 = 1.32%
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edges shared by exactly two triangles : 7152/7152 = 100.00%
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PASS
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