code wiki / _hdl_build / nx_recombine_novelty_gate.nx
nx_recombine_novelty_gate.nx source
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1// nx_recombine_novelty_gate.nx -- THE R2 CLAIM GATE for the modeling lane (ladder head 1785858051).
2//
3// The ladder's top rung says: RECOMBINABLE = novel outputs sampled from the space, novelty PROVEN.
4// nx_variant_mesh_gate already proves the 6 presets are valid + coarsely distinct; what it cannot
5// say is that the generator RECOMBINES -- that a NEW point in the swap-slot space, one that is
6// none of the presets, comes out valid and genuinely distinct, and that a duplicate would be
7// CAUGHT. This gate proves exactly that:
8// - a 7th, NOVEL recombinant tuple (human body + elf ears + tail, build 112 -- in the space,
9// not in the preset list) is generated, closed, and distinct from all six presets
10// - the distinctness floor is DATA-DERIVED (median pairwise distance / 8 = the near-duplicate
11// band), never a magic constant: no pair may sit in the band
12// - the NEGATIVE CONTROL regenerates a preset tuple and demands distance == 0: one measurement
13// read from both sides -- generation is DETERMINISTIC (same tuple -> same descriptor) AND the
14// duplicate detector provably fires below the floor (a tooth that cannot bite is not a tooth)
15// Descriptor = shape + scale: a 4x4x4 occupancy histogram over the mesh's own bbox (per-mille,
16// scale-free shape signature) + the bbox dimensions in grid units (so build-scale differences
17// count). Integer-only throughout.
18// license_tier: ORIGINAL No hw writes (Rule 26).
19import "nx_syscalls.nx"
20import "nx_gate_verdict.nx"
21import "nx_sdfrender.nx"
22import "nx_meshgen.nx"
23import "nx_assetvariant.nx"
24
25const RN_MESHES: i64 = 8 // 6 presets + 1 novel recombinant + 1 duplicate-of-preset0
26const RN_DESC: i64 = 68 // 64 hist cells + nverts + bbox dx dy dz
27
28// build the descriptor from the surface-net vertex buffer (i64 xyz triples)
29func rn_desc(vb: *i64, nv: i64, d: *i64) -> i64 {
30 var i: i64 = 0
31 while i < RN_DESC { d[i] = 0; i = i + 1 }
32 if nv <= 0 { return 0 }
33 var minx: i64 = vb[0]; var maxx: i64 = vb[0]
34 var miny: i64 = vb[1]; var maxy: i64 = vb[1]
35 var minz: i64 = vb[2]; var maxz: i64 = vb[2]
36 i = 0
37 while i < nv {
38 let x: i64 = vb[i*3]; let y: i64 = vb[i*3+1]; let z: i64 = vb[i*3+2]
39 if x < minx { minx = x }
40 if x > maxx { maxx = x }
41 if y < miny { miny = y }
42 if y > maxy { maxy = y }
43 if z < minz { minz = z }
44 if z > maxz { maxz = z }
45 i = i + 1
46 }
47 let dx: i64 = maxx - minx + 1
48 let dy: i64 = maxy - miny + 1
49 let dz: i64 = maxz - minz + 1
50 i = 0
51 while i < nv {
52 var cx: i64 = (vb[i*3] - minx) * 4 / dx
53 var cy: i64 = (vb[i*3+1] - miny) * 4 / dy
54 var cz: i64 = (vb[i*3+2] - minz) * 4 / dz
55 if cx > 3 { cx = 3 }
56 if cy > 3 { cy = 3 }
57 if cz > 3 { cz = 3 }
58 let cell: i64 = cx * 16 + cy * 4 + cz
59 d[cell] = d[cell] + 1
60 i = i + 1
61 }
62 // per-mille normalize the histogram (shape, not size)
63 i = 0
64 while i < 64 { d[i] = d[i] * 1000 / nv; i = i + 1 }
65 d[64] = nv
66 d[65] = dx
67 d[66] = dy
68 d[67] = dz
69 return 0
70}
71
72// distance = L1 over the per-mille shape histogram + L1 over bbox dims (grid units)
73func rn_dist(a: *i64, b: *i64) -> i64 {
74 var s: i64 = 0
75 var i: i64 = 0
76 while i < 64 {
77 var dd: i64 = a[i] - b[i]
78 if dd < 0 { dd = 0 - dd }
79 s = s + dd
80 i = i + 1
81 }
82 i = 65
83 while i < 68 {
84 var d2: i64 = a[i] - b[i]
85 if d2 < 0 { d2 = 0 - d2 }
86 s = s + d2
87 i = i + 1
88 }
89 return s
90}
91
92func main(argc: i64, argv: *i64) -> i64 {
93 let ctr: *i64 = gv_ctr()
94 gv_head("nx_recombine_novelty_gate -- R2: a NEW point in the space is valid, distinct, and a duplicate is CAUGHT" as *u8)
95
96 let base: i64 = sys_mmap(sdf_bytes()) as i64
97 let F: *i64 = sys_mmap((MG_N + 1) * (MG_N + 1) * (MG_N + 1) * 8) as *i64
98 let cv: *i64 = sys_mmap(MG_N * MG_N * MG_N * 8) as *i64
99 let vb: *i64 = sys_mmap(MG_MAXV * 3 * 8) as *i64
100 let fb: *i64 = sys_mmap(MG_MAXF * 3 * 8) as *i64
101 let out: *i64 = sys_mmap(16) as *i64
102
103 // tuples: the 6 grid-safe presets (nx_variant_mesh_gate roster) + [6] the NOVEL recombinant
104 // (human body, no horns, elf ears, TAIL, build 112 -- a point in the space, NOT a preset)
105 // + [7] a DUPLICATE of preset 0 (the negative control / determinism twin)
106 let vt: *i64 = sys_mmap(RN_MESHES * 5 * 8) as *i64
107 var q: i64 = 0
108 vt[q]=0; vt[q+1]=0; vt[q+2]=0; vt[q+3]=0; vt[q+4]=100; q=q+5 // human
109 vt[q]=0; vt[q+1]=0; vt[q+2]=1; vt[q+3]=0; vt[q+4]=80; q=q+5 // elf
110 vt[q]=2; vt[q+1]=0; vt[q+2]=1; vt[q+3]=0; vt[q+4]=100; q=q+5 // goblin
111 vt[q]=2; vt[q+1]=0; vt[q+2]=1; vt[q+3]=0; vt[q+4]=125; q=q+5 // hobgoblin
112 vt[q]=1; vt[q+1]=0; vt[q+2]=1; vt[q+3]=1; vt[q+4]=100; q=q+5 // wolf
113 vt[q]=1; vt[q+1]=1; vt[q+2]=1; vt[q+3]=1; vt[q+4]=125; q=q+5 // dire wolf
114 vt[q]=0; vt[q+1]=0; vt[q+2]=1; vt[q+3]=1; vt[q+4]=112; q=q+5 // NOVEL recombinant
115 vt[q]=0; vt[q+1]=0; vt[q+2]=0; vt[q+3]=0; vt[q+4]=100; q=q+5 // duplicate of human
116
117 let descs: *i64 = sys_mmap(RN_MESHES * RN_DESC * 8) as *i64
118 var closed_all: i64 = 1
119 var m: i64 = 0
120 while m < RN_MESHES {
121 av_build(base, vt[m*5], vt[m*5+1], vt[m*5+2], vt[m*5+3], vt[m*5+4])
122 mg_build(base, F, cv, vb, fb, out)
123 let nv: i64 = out[0]
124 let nf: i64 = out[1]
125 var closed: i64 = 1
126 if nv < 400 { closed = 0 }
127 if nf < nv * 3 / 2 { closed = 0 }
128 if nf > nv * 5 / 2 { closed = 0 }
129 if closed == 0 { closed_all = 0 }
130 rn_desc(vb, nv, ((descs as i64) + m * RN_DESC * 8) as *i64)
131 m = m + 1
132 }
133 gv_check("T1 ALL 8 GENERATIONS MESH CLOSED: 6 presets + the novel recombinant + the duplicate twin all land in the Euler genus-0 band -- a new point in the space is not a degenerate point" as *u8, closed_all, ctr)
134
135 // pairwise distances among the 7 DISTINCT-INTENDED meshes (presets + novel; the duplicate is
136 // handled by its own teeth). Floor = median pairwise / 8, derived from THIS run's data.
137 let dists: *i64 = sys_mmap(32 * 8) as *i64
138 var nd: i64 = 0
139 var i: i64 = 0
140 while i < 7 {
141 var j: i64 = i + 1
142 while j < 7 {
143 dists[nd] = rn_dist(((descs as i64) + i * RN_DESC * 8) as *i64, ((descs as i64) + j * RN_DESC * 8) as *i64)
144 nd = nd + 1
145 j = j + 1
146 }
147 i = i + 1
148 }
149 // insertion sort -> median + min
150 i = 1
151 while i < nd {
152 let v: i64 = dists[i]
153 var k: i64 = i - 1
154 var st: i64 = 0
155 while st == 0 {
156 if k < 0 { st = 1 } else {
157 if dists[k] > v { dists[k+1] = dists[k]; k = k - 1 } else { st = 1 }
158 }
159 }
160 dists[k+1] = v
161 i = i + 1
162 }
163 let dmin: i64 = dists[0]
164 let dmed: i64 = dists[nd / 2]
165 let floor: i64 = dmed / 8
166 var t2: i64 = 0
167 if dmin > floor { if floor > 0 { t2 = 1 } }
168 gv_check("T2 NO NEAR-DUPLICATES ANYWHERE: the minimum pairwise distance across all 21 pairs (6 presets + novel) clears the data-derived floor (median/8) -- every generated point is its own point" as *u8, t2, ctr)
169
170 // the novel recombinant specifically: its nearest preset must clear the floor
171 var novel_min: i64 = 0 - 1
172 i = 0
173 while i < 6 {
174 let d3: i64 = rn_dist(((descs as i64) + 6 * RN_DESC * 8) as *i64, ((descs as i64) + i * RN_DESC * 8) as *i64)
175 if novel_min < 0 { novel_min = d3 } else { if d3 < novel_min { novel_min = d3 } }
176 i = i + 1
177 }
178 var t3: i64 = 0
179 if novel_min > floor { t3 = 1 }
180 gv_check("T3 THE NOVEL RECOMBINANT IS NOVEL: a tuple that is in the swap-slot space but in NO preset list generates a mesh whose nearest preset clears the floor -- the generator SAMPLES the space, it does not replay presets" as *u8, t3, ctr)
181
182 // negative control + determinism: the duplicate of preset 0, ONE measurement, both polarities
183 let ddup: i64 = rn_dist(((descs as i64) + 7 * RN_DESC * 8) as *i64, ((descs as i64) + 0 * RN_DESC * 8) as *i64)
184 gv_check("T4 DETERMINISM: regenerating the same tuple yields distance ZERO -- same tuple, same mesh, same descriptor, no hidden entropy" as *u8, (ddup == 0) as i64, ctr)
185 gv_check("T5 THE DUPLICATE DETECTOR BITES: that zero sits BELOW the floor, so a replayed input is flagged as a duplicate -- the novelty tooth is proven able to fail" as *u8, (ddup <= floor) as i64, ctr)
186
187 let rc: i64 = gv_verdict("RECOMBINE-NOVELTY-GATE", ctr, "R2 claim for the modeling lane: data-derived floor, novel point proven, duplicate caught, deterministic" as *u8)
188 sys_exit(rc)
189 return rc
190}