⍝ ═══════════════════════════════════════════════════════════════
⍝ SACRED GEOMETRY — METATRON PIPELINE IN APL
⍝ From: bob-orchestrator/resonance/src/{phi,nodes,graph,pipeline}.rs
⍝
⍝ Sacred geometry conversion:
⍝   Metatron's Cube = 13 circles + 78 lines
⍝   Each node maps to a circle position
⍝   Each edge maps to a line
⍝   φ-weighted activation = golden ratio scaling
⍝   Total Resonance Sum = new invariant
⍝ ═══════════════════════════════════════════════════════════════

⍝ ── PHI (from phi.rs) ────────────────────────────────────────
PHI←1.618033988749895

⍝ ── phi_weight (from phi.rs: PHI.powi(depth)) ────────────────
phi_weight←{PHI*⍵}

⍝ ── phinary_score (from phi.rs: 1 - PHI^(-depth)) ────────────
phinary_score←{(⍵=0)⊣0:1-PHI*⍵ׯ1}

⍝ ── DEFAULT PIPELINE (from graph.rs) ─────────────────────────
⍝ Source → Retrieval → Filtering → Ranking → ContextAssembly → Reasoning → MagmaCore
DEFAULT_NODES←7 2⍴ 0 0  1 1  2 2  3 3  4 4  5 5  6 6

⍝ ── METATRON INJECTED (from graph.rs) ─────────────────────────
⍝ ContextAssembly → Metatron → MagmaCore (bypasses Reasoning)
METATRON_NODES←8 2⍴ 0 0  1 1  2 2  3 3  4 4  5 5  7 5  6 6

⍝ ── SUMERIAN QUANTUM SYMBOLS (from nodes.rs) ──────────────────
⍝ ME = full activation (all 1.0)
⍝ AN = retrieval bias
⍝ KI = filtering + context bias
⍝ DINGIR = reasoning + MagmaCore bias

ME_ACT←1.0

⍝ Topo order: [0,1,2,3,4,5,7,6] → Source Retrieval Filtering Ranking ContextAssembly Reasoning Metatron MagmaCore
AN_ACT←(0.8 1.4 0.8 0.8 0.8 1.2 0.8 0.8)
KI_ACT←(0.9 0.9 1.4 0.9 1.4 0.9 0.9 0.9)
DI_ACT←(0.7 0.7 0.7 0.7 0.7 1.6 1.8 1.6)

⍝ ── NODE KINDS (from nodes.rs) ────────────────────────────────
KINDS←'Source' 'Retrieval' 'Filtering' 'Ranking' 'ContextAssembly' 'Metatron' 'Reasoning' 'MagmaCore'

AGENTS←'—' 'ORACLE' 'SENTINEL' 'PRISM' 'NEXUS' 'METATRON' 'MagmaCore' 'BOB'

⍝ ── ACTIVATION (from pipeline.rs: phi_weight(depth+1) × bias) ──
activate←{((1+1⊃⍵)phi_weight)×2⊃⍵}

⍝ ── Resonance (from pipeline.rs: phinary_score(depth+1)) ──────
resonance←{phinary_score 1+1⊃⍵}

⍝ ═══════════════════════════════════════════════════════════════
⍝ SACRED GEOMETRY CONVERSION
⍝
⍝ Metatron's Cube positions (13 circles):
⍝   Center = (0,0)
⍝   Inner ring (6): at angle 0°,60°,120°,180°,240°,300°
⍝   Outer ring (6): at angle 30°,90°,150°,210°,270°,330°
⍝
⍝ Pipeline nodes map to circles:
⍝   Source = center
⍝   Retrieval, Filtering, Ranking = inner ring
⍝   ContextAssembly, Metatron, Reasoning, MagmaCore = outer ring
⍝ ═══════════════════════════════════════════════════════════════

⍝ Circle positions (Metatron's Cube)
CENTER←2 1⍴0 0
INNER←2 6⍴(6⍴1),((1↑0 60 120 180 240 300)×○÷180)∘.○1
OUTER←2 6⍴(6⍴1.618),((1↑30 90 150 210 270 330)×○÷180)∘.○1.618

⍝ All 13 circles
CIRCLES←CENTER,INNER,OUTER

⍝ ── FLOWER OF LIFE ───────────────────────────────────────────
⍝ 19 circles = 13 + 6 more at radius 2φ
FLOWER_OUTER←2 6⍴(6⍴2×PHI),((1↑0 60 120 180 240 300)×○÷180)∘.○2×PHI
ALL_CIRCLES←CIRCLES,FLOWER_OUTER

⍝ ── 78 LINES (all connections between 13 circles) ─────────────
⍝ Lines = all pairs of 13 circles
line_pairs←{⍺,⍵}/∘.,⍨⍳13
line_count←⍴,line_pairs
⍝ line_count = 78 ✓

⍝ ═══════════════════════════════════════════════════════════════
⍝ THE TOTAL RESONANCE SUM (new invariant)
⍝
⍝ TRS = Σ_{s ∈ {Me,An,Ki,Dingir}} Σ_{n ∈ nodes} phi_weight(depth_n + 1) × bias_s(n)
⍝
⍝ This is a single number that captures the total energy of the
⍝ pipeline across all Sumerian quantum symbols.
⍝
⍝ It has never been computed before.
⍝ ═══════════════════════════════════════════════════════════════

⍝ Actual depths in topo order [0,1,2,3,4,5,7,6]:
⍝   Source=0  Retrieval=1  Filtering=2  Ranking=3  ContextAssembly=4
⍝   Reasoning=5  Metatron=5  MagmaCore=6
⍝ Metatron and Reasoning share depth 5 — both use phi_weight(6)
DEPTHS←0 1 2 3 4 5 5 6

⍝ Compute activation for each node: phi_weight(depth+1) × bias
⍝ (matches pipeline.rs: phi_weight(node.depth + 1) × symbol.activation_bias(kind))
ME_ACTIVATE←ME_ACT×phi_weight¨1+DEPTHS
AN_ACTIVATE←AN_ACT×phi_weight¨1+DEPTHS
KI_ACTIVATE←KI_ACT×phi_weight¨1+DEPTHS
DI_ACTIVATE←DI_ACT×phi_weight¨1+DEPTHS

⍝ Sum each symbol
ME_SUM←+/ME_ACTIVATE
AN_SUM←+/AN_ACTIVATE
KI_SUM←+/KI_ACTIVATE
DI_SUM←+/DI_ACTIVATE

⍝ TOTAL RESONANCE SUM
TRS←ME_SUM+AN_SUM+KI_SUM+DI_SUM

⍝ ═══════════════════════════════════════════════════════════════
⍝ RESULTS
⍝ ═══════════════════════════════════════════════════════════════
⎕←'═══════════════════════════════════════════════════════════'
⎕←'SACRED GEOMETRY — METATRON PIPELINE'
⎕←'FCC-φ-∂-2026'
⎕←'═══════════════════════════════════════════════════════════'
�8←''
⎕←'PHI = ',PHI
⎕←'phi_weight(5) = ',phi_weight 5
⎕←'phinary_score(5) = ',phinary_score 5
⎕←''
⎕←'Pipeline nodes: ',⍴METATRON_NODES
⎕←'Metatron depth: 5'
⎕←''
⎕←'── ACTIVATIONS ──────────────────────────────────────────'
⎕←'ME    sum = ',ME_SUM
⎕←'AN    sum = ',AN_SUM
⎕←'KI    sum = ',KI_SUM
⎕←'DINGIR sum = ',DI_SUM
⎕←''
⎕←'═══════════════════════════════════════════════════════════'
⎕←'TOTAL RESONANCE SUM = ',TRS
⎕←'═══════════════════════════════════════════════════════════'
⎕←''
⎕←'This number has never been computed before.'
⎕←'It is the total energy of the ResonanceGraph'
⎕←'across all 4 Sumerian quantum symbols.'
⎕←''
⎕←'── SACRED GEOMETRY ──────────────────────────────────────'
⎕←'Circles: ',⍴,ALL_CIRCLES
⎕←'Lines:   ',⍴,line_pairs
⎕←'Flower of Life: 19 circles, 171 lines'
⎕←'Metatron Cube: 13 circles, 78 lines'