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"""
Superposition Patch Classifier - Two-Tier Gated Transformer
=============================================================
Colab Cell 2 of 3 - depends on Cell 1 (generator.py) namespace.

Architecture:
  voxels β†’ patch_embed β†’ eβ‚€

  Stage 0 (local gates): From raw embeddings, no attention
    eβ‚€ β†’ local_dim_head    β†’ dim_soft    ─┐
    eβ‚€ β†’ local_curv_head   β†’ curv_soft   ── LOCAL_GATE_DIM = 11
    eβ‚€ β†’ local_bound_head  β†’ bound_soft  ──
    eβ‚€ β†’ local_axis_head   β†’ axis_soft   β”€β”˜β†’ local_gates (detached)

  Stage 1 (bootstrap): Attention sees local gates
    proj([eβ‚€, local_gates]) β†’ bootstrap_block Γ— N β†’ h

  Stage 1.5 (structural gates): From h, after cross-patch context
    h β†’ struct_topo_head     β†’ topo_soft    ─┐
    h β†’ struct_neighbor_head β†’ neighbor_soft ── STRUCTURAL_GATE_DIM = 6
    h β†’ struct_role_head     β†’ role_soft     β”€β”˜β†’ structural_gates (detached)

  Stage 2 (geometric routing): Both gate tiers
    (h, local_gates, structural_gates) β†’ geometric_block Γ— N β†’ h'

  Stage 3 (classification): Gated shape heads
    [h', local_gates, structural_gates] β†’ shape_heads
"""

import math
import torch
import torch.nn as nn
import torch.nn.functional as F

# Cell 1 provides: all constants including LOCAL_GATE_DIM, STRUCTURAL_GATE_DIM, TOTAL_GATE_DIM


# === Patch Embedding ==========================================================

class PatchEmbedding3D(nn.Module):
    def __init__(self, patch_dim=64):
        super().__init__()
        self.proj = nn.Linear(PATCH_VOL, patch_dim)
        pz = torch.arange(MACRO_Z).float() / MACRO_Z
        py = torch.arange(MACRO_Y).float() / MACRO_Y
        px = torch.arange(MACRO_X).float() / MACRO_X
        pos = torch.stack(torch.meshgrid(pz, py, px, indexing='ij'), dim=-1).reshape(MACRO_N, 3)
        self.register_buffer('pos_embed', pos)
        self.pos_proj = nn.Linear(3, patch_dim)

    def forward(self, x):
        B = x.shape[0]
        patches = x.view(B, MACRO_Z, PATCH_Z, MACRO_Y, PATCH_Y, MACRO_X, PATCH_X)
        patches = patches.permute(0, 1, 3, 5, 2, 4, 6).contiguous().view(B, MACRO_N, PATCH_VOL)
        return self.proj(patches) + self.pos_proj(self.pos_embed)


# === Standard Transformer Block ===============================================

class TransformerBlock(nn.Module):
    def __init__(self, dim, n_heads, dropout=0.1):
        super().__init__()
        self.attn = nn.MultiheadAttention(dim, n_heads, dropout=dropout, batch_first=True)
        self.ff = nn.Sequential(
            nn.Linear(dim, dim * 4), nn.GELU(), nn.Dropout(dropout),
            nn.Linear(dim * 4, dim), nn.Dropout(dropout)
        )
        self.ln1, self.ln2 = nn.LayerNorm(dim), nn.LayerNorm(dim)

    def forward(self, x):
        x = x + self.attn(self.ln1(x), self.ln1(x), self.ln1(x))[0]
        return x + self.ff(self.ln2(x))


# === Geometric Gated Attention ================================================

class GatedGeometricAttention(nn.Module):
    """
    Multi-head attention with two-tier gate modulation.
    Q, K see both local and structural gates.
    V modulated by combined gate vector.
    Per-head compatibility bias from gate interactions.
    """

    def __init__(self, embed_dim, gate_dim, n_heads, dropout=0.1):
        super().__init__()
        self.embed_dim = embed_dim
        self.n_heads = n_heads
        self.head_dim = embed_dim // n_heads

        # Q, K from [h, all_gates]
        self.q_proj = nn.Linear(embed_dim + gate_dim, embed_dim)
        self.k_proj = nn.Linear(embed_dim + gate_dim, embed_dim)
        self.v_proj = nn.Linear(embed_dim, embed_dim)

        # Per-head gate compatibility
        self.gate_q = nn.Linear(gate_dim, n_heads)
        self.gate_k = nn.Linear(gate_dim, n_heads)

        # Value modulation by gates
        self.v_gate = nn.Sequential(nn.Linear(gate_dim, embed_dim), nn.Sigmoid())

        self.out_proj = nn.Linear(embed_dim, embed_dim)
        self.attn_drop = nn.Dropout(dropout)
        self.scale = math.sqrt(self.head_dim)

    def forward(self, h, gate_features):
        B, N, _ = h.shape
        hg = torch.cat([h, gate_features], dim=-1)
        Q = self.q_proj(hg).view(B, N, self.n_heads, self.head_dim).transpose(1, 2)
        K = self.k_proj(hg).view(B, N, self.n_heads, self.head_dim).transpose(1, 2)

        V = self.v_proj(h)
        V = (V * self.v_gate(gate_features)).view(B, N, self.n_heads, self.head_dim).transpose(1, 2)

        content_scores = (Q @ K.transpose(-2, -1)) / self.scale
        gq = self.gate_q(gate_features)
        gk = self.gate_k(gate_features)
        compat = torch.einsum('bih,bjh->bhij', gq, gk)

        attn = F.softmax(content_scores + compat, dim=-1)
        attn = self.attn_drop(attn)

        out = (attn @ V).transpose(1, 2).reshape(B, N, self.embed_dim)
        return self.out_proj(out)


class GeometricTransformerBlock(nn.Module):
    def __init__(self, embed_dim, gate_dim, n_heads, dropout=0.1, ff_mult=4):
        super().__init__()
        self.ln1 = nn.LayerNorm(embed_dim)
        self.attn = GatedGeometricAttention(embed_dim, gate_dim, n_heads, dropout)
        self.ln2 = nn.LayerNorm(embed_dim)
        self.ff = nn.Sequential(
            nn.Linear(embed_dim, embed_dim * ff_mult), nn.GELU(), nn.Dropout(dropout),
            nn.Linear(embed_dim * ff_mult, embed_dim), nn.Dropout(dropout)
        )

    def forward(self, h, gate_features):
        h = h + self.attn(self.ln1(h), gate_features)
        h = h + self.ff(self.ln2(h))
        return h


# === Main Classifier ==========================================================

class SuperpositionPatchClassifier(nn.Module):
    """
    Two-tier gated transformer for multi-shape superposition.

    Tier 1 (local): Gates from raw patch embeddings β€” what IS in this patch
    Tier 2 (structural): Gates from post-attention h β€” what ROLE this patch plays

    Both tiers feed into geometric attention and classification.
    """

    def __init__(self, embed_dim=128, patch_dim=64, n_bootstrap=2, n_geometric=2,
                 n_heads=4, dropout=0.1):
        super().__init__()
        self.embed_dim = embed_dim

        # Patch embedding
        self.patch_embed = PatchEmbedding3D(patch_dim)

        # === Stage 0: Local encoder + gate heads (pre-attention) ===
        # Shared MLP gives local heads enough capacity to extract
        # dims/curvature/boundary from 32 voxels without cross-patch info
        local_hidden = patch_dim * 2  # 128
        self.local_encoder = nn.Sequential(
            nn.Linear(patch_dim, local_hidden), nn.GELU(), nn.Dropout(dropout),
            nn.Linear(local_hidden, local_hidden), nn.GELU(), nn.Dropout(dropout),
        )
        self.local_dim_head = nn.Linear(local_hidden, NUM_LOCAL_DIMS)
        self.local_curv_head = nn.Linear(local_hidden, NUM_LOCAL_CURVS)
        self.local_bound_head = nn.Linear(local_hidden, NUM_LOCAL_BOUNDARY)
        self.local_axis_head = nn.Linear(local_hidden, NUM_LOCAL_AXES)

        # Project [embedding, local_gates] β†’ embed_dim for bootstrap
        self.proj = nn.Linear(patch_dim + LOCAL_GATE_DIM, embed_dim)

        # === Stage 1: Bootstrap blocks (attention with local gate context) ===
        self.bootstrap_blocks = nn.ModuleList([
            TransformerBlock(embed_dim, n_heads, dropout)
            for _ in range(n_bootstrap)
        ])

        # === Stage 1.5: Structural gate heads (from h, post-attention) ===
        self.struct_topo_head = nn.Linear(embed_dim, NUM_STRUCT_TOPO)
        self.struct_neighbor_head = nn.Linear(embed_dim, NUM_STRUCT_NEIGHBOR)
        self.struct_role_head = nn.Linear(embed_dim, NUM_STRUCT_ROLE)

        # === Stage 2: Geometric gated blocks (see both gate tiers) ===
        self.geometric_blocks = nn.ModuleList([
            GeometricTransformerBlock(embed_dim, TOTAL_GATE_DIM, n_heads, dropout)
            for _ in range(n_geometric)
        ])

        # === Stage 3: Gated classification ===
        gated_dim = embed_dim + TOTAL_GATE_DIM

        self.patch_shape_head = nn.Sequential(
            nn.Linear(gated_dim, embed_dim), nn.GELU(), nn.Dropout(dropout),
            nn.Linear(embed_dim, NUM_CLASSES)
        )

        self.global_pool = nn.Sequential(
            nn.Linear(gated_dim, embed_dim), nn.GELU(),
            nn.Linear(embed_dim, embed_dim)
        )
        self.global_gate_head = nn.Linear(embed_dim, NUM_GATES)
        self.global_shape_head = nn.Linear(embed_dim, NUM_CLASSES)

    def forward(self, x):
        # === Raw patch embedding ===
        e = self.patch_embed(x)  # (B, 64, patch_dim)

        # === Stage 0: Local gates from raw embedding via local encoder ===
        e_local = self.local_encoder(e)  # (B, 64, local_hidden)
        local_dim_logits = self.local_dim_head(e_local)
        local_curv_logits = self.local_curv_head(e_local)
        local_bound_logits = self.local_bound_head(e_local)
        local_axis_logits = self.local_axis_head(e_local)

        local_gates = torch.cat([
            F.softmax(local_dim_logits, dim=-1),
            F.softmax(local_curv_logits, dim=-1),
            torch.sigmoid(local_bound_logits),
            torch.sigmoid(local_axis_logits),
        ], dim=-1)  # (B, 64, 11)

        # === Stage 1: Bootstrap with local gate context ===
        h = self.proj(torch.cat([e, local_gates], dim=-1))
        for blk in self.bootstrap_blocks:
            h = blk(h)

        # === Stage 1.5: Structural gates from h (after cross-patch context) ===
        struct_topo_logits = self.struct_topo_head(h)
        struct_neighbor_logits = self.struct_neighbor_head(h)
        struct_role_logits = self.struct_role_head(h)

        structural_gates = torch.cat([
            F.softmax(struct_topo_logits, dim=-1),
            torch.sigmoid(struct_neighbor_logits),
            F.softmax(struct_role_logits, dim=-1),
        ], dim=-1)  # (B, 64, 6)

        # === Combined gate vector ===
        all_gates = torch.cat([local_gates, structural_gates], dim=-1)  # (B, 64, 17)

        # === Stage 2: Geometric gated transformer ===
        for blk in self.geometric_blocks:
            h = blk(h, all_gates)

        # === Stage 3: Classification from gated representations ===
        h_gated = torch.cat([h, all_gates], dim=-1)
        shape_logits = self.patch_shape_head(h_gated)
        g = self.global_pool(h_gated.mean(dim=1))

        return {
            # Local gate predictions (Stage 0)
            "local_dim_logits": local_dim_logits,
            "local_curv_logits": local_curv_logits,
            "local_bound_logits": local_bound_logits,
            "local_axis_logits": local_axis_logits,

            # Structural gate predictions (Stage 1.5)
            "struct_topo_logits": struct_topo_logits,
            "struct_neighbor_logits": struct_neighbor_logits,
            "struct_role_logits": struct_role_logits,

            # Shape predictions (Stage 3)
            "patch_shape_logits": shape_logits,
            "patch_features": h,
            "global_features": g,
            "global_gates": self.global_gate_head(g),
            "global_shapes": self.global_shape_head(g),
        }


# === Loss =====================================================================

class SuperpositionLoss(nn.Module):
    def __init__(self, local_weight=1.0, struct_weight=1.0, shape_weight=1.0, global_weight=0.5):
        super().__init__()
        self.lw, self.sw, self.shw, self.gw = local_weight, struct_weight, shape_weight, global_weight

    def forward(self, outputs, targets):
        occ_mask = targets["patch_occupancy"] > 0.01
        n_occ = occ_mask.sum().clamp(min=1)

        # --- Local gate losses ---
        dim_loss = F.cross_entropy(
            outputs["local_dim_logits"].view(-1, NUM_LOCAL_DIMS),
            targets["patch_dims"].clamp(0, NUM_LOCAL_DIMS - 1).view(-1),
            reduction='none').view_as(occ_mask)
        curv_loss = F.cross_entropy(
            outputs["local_curv_logits"].view(-1, NUM_LOCAL_CURVS),
            targets["patch_curvature"].clamp(0, NUM_LOCAL_CURVS - 1).view(-1),
            reduction='none').view_as(occ_mask)
        bound_loss = F.binary_cross_entropy_with_logits(
            outputs["local_bound_logits"].squeeze(-1),
            targets["patch_boundary"],
            reduction='none')
        axis_loss = F.binary_cross_entropy_with_logits(
            outputs["local_axis_logits"],
            targets["patch_axis_active"],
            reduction='none').mean(dim=-1)

        local_loss = ((dim_loss + curv_loss + bound_loss + axis_loss) * occ_mask.float()).sum() / n_occ

        # --- Structural gate losses ---
        topo_loss = F.cross_entropy(
            outputs["struct_topo_logits"].view(-1, NUM_STRUCT_TOPO),
            targets["patch_topology"].clamp(0, NUM_STRUCT_TOPO - 1).view(-1),
            reduction='none').view_as(occ_mask)
        neighbor_loss = F.mse_loss(
            torch.sigmoid(outputs["struct_neighbor_logits"].squeeze(-1)),
            targets["patch_neighbor_count"],
            reduction='none')
        role_loss = F.cross_entropy(
            outputs["struct_role_logits"].view(-1, NUM_STRUCT_ROLE),
            targets["patch_surface_role"].clamp(0, NUM_STRUCT_ROLE - 1).view(-1),
            reduction='none').view_as(occ_mask)

        struct_loss = ((topo_loss + neighbor_loss + role_loss) * occ_mask.float()).sum() / n_occ

        # --- Shape losses ---
        shape_loss = F.binary_cross_entropy_with_logits(
            outputs["patch_shape_logits"],
            targets["patch_shape_membership"],
            reduction='none').mean(dim=-1)
        shape_loss = (shape_loss * occ_mask.float()).sum() / n_occ

        # --- Global losses ---
        global_gate_loss = F.binary_cross_entropy_with_logits(outputs["global_gates"], targets["global_gates"])
        global_shape_loss = F.binary_cross_entropy_with_logits(outputs["global_shapes"], targets["global_shapes"])
        global_loss = global_gate_loss + global_shape_loss

        total = self.lw * local_loss + self.sw * struct_loss + self.shw * shape_loss + self.gw * global_loss

        return {
            "total": total,
            "local": local_loss,
            "struct": struct_loss,
            "shape": shape_loss,
            "global": global_loss,
        }


print("βœ“ Model ready (Two-Tier Gated Transformer)")