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"""
Baseline Vision Transformer with Frozen Pentachora Embeddings
Adapted for L1-normalized pentachora vertices
"""

import torch
import torch.nn as nn
import torch.nn.functional as F
import numpy as np
from einops import rearrange
import math
from typing import Optional, Tuple, Dict, Any


class PentachoraEmbedding(nn.Module):
    """
    A single frozen pentachora embedding (5 vertices in geometric space).
    Supports both L1 and L2 normalized vertices.
    """
    
    def __init__(self, vertices: torch.Tensor, norm_type: str = 'l1'):
        super().__init__()
        
        self.embed_dim = vertices.shape[-1]
        self.norm_type = norm_type
        
        # Store provided vertices as frozen buffer
        self.register_buffer('vertices', vertices)
        self.vertices.requires_grad = False
        
        # Precompute normalized versions and centroid
        with torch.no_grad():
            # For L1-normalized data, use L1 norm for consistency
            if norm_type == 'l1':
                # L1 normalize (sum of abs values = 1)
                self.register_buffer('vertices_norm', 
                    vertices / (vertices.abs().sum(dim=-1, keepdim=True) + 1e-8))
            else:
                # L2 normalize (euclidean norm = 1)
                self.register_buffer('vertices_norm', F.normalize(self.vertices, dim=-1))
            
            self.register_buffer('centroid', self.vertices.mean(dim=0))
            
            # Centroid normalization matches vertex normalization
            if norm_type == 'l1':
                self.register_buffer('centroid_norm',
                    self.centroid / (self.centroid.abs().sum() + 1e-8))
            else:
                self.register_buffer('centroid_norm', F.normalize(self.centroid, dim=-1))
    
    def get_vertices(self) -> torch.Tensor:
        """Get all 5 vertices."""
        return self.vertices
    
    def get_centroid(self) -> torch.Tensor:
        """Get the centroid of the pentachora."""
        return self.centroid
    
    def compute_rose_score(self, features: torch.Tensor) -> torch.Tensor:
        """
        Compute Rose similarity score with this pentachora.
        Scaled appropriately for L1 norm.
        """
        verts = self.vertices.unsqueeze(0)  # [1, 5, D]
        if features.dim() == 1:
            features = features.unsqueeze(0)
        
        B = features.shape[0]
        if B > 1:
            verts = verts.expand(B, -1, -1)
        
        # For L1 norm, scale the rose score appropriately
        score = PentachoronStabilizer.rose_score_magnitude(features, verts)
        if self.norm_type == 'l1':
            # L1 norm produces smaller values, so amplify the signal
            score = score * 10.0
        return score
    
    def compute_similarity(self, features: torch.Tensor, mode: str = 'centroid') -> torch.Tensor:
        """
        Compute similarity between features and this pentachora.
        """
        if mode == 'rose':
            return self.compute_rose_score(features)
        
        # Normalize features according to norm type
        if self.norm_type == 'l1':
            features_norm = features / (features.abs().sum(dim=-1, keepdim=True) + 1e-8)
        else:
            features_norm = F.normalize(features, dim=-1)
        
        if mode == 'centroid':
            # Dot product with centroid
            sim = torch.sum(features_norm * self.centroid_norm, dim=-1)
            # Scale up L1 similarities to be comparable to L2
            if self.norm_type == 'l1':
                sim = sim * 10.0
            return sim
        else:  # mode == 'max'
            # Max similarity across vertices
            sims = torch.matmul(features_norm, self.vertices_norm.T)
            if self.norm_type == 'l1':
                sims = sims * 10.0
            return sims.max(dim=-1)[0]


class TransformerBlock(nn.Module):
    """Standard transformer block with multi-head attention and MLP."""
    
    def __init__(
        self,
        dim: int,
        num_heads: int = 8,
        mlp_ratio: float = 4.0,
        dropout: float = 0.0,
        attn_dropout: float = 0.0
    ):
        super().__init__()
        
        self.norm1 = nn.LayerNorm(dim)
        self.attn = nn.MultiheadAttention(
            dim, 
            num_heads, 
            dropout=attn_dropout,
            batch_first=True
        )
        
        self.norm2 = nn.LayerNorm(dim)
        mlp_hidden_dim = int(dim * mlp_ratio)
        self.mlp = nn.Sequential(
            nn.Linear(dim, mlp_hidden_dim),
            nn.GELU(),
            nn.Dropout(dropout),
            nn.Linear(mlp_hidden_dim, dim),
            nn.Dropout(dropout)
        )
    
    def forward(self, x: torch.Tensor) -> torch.Tensor:
        # Self-attention
        x_norm = self.norm1(x)
        attn_out, _ = self.attn(x_norm, x_norm, x_norm)
        x = x + attn_out
        
        # MLP
        x = x + self.mlp(self.norm2(x))
        
        return x


class BaselineViT(nn.Module):
    """
    Vision Transformer with frozen pentachora embeddings.
    Supports L1-normalized pentachora.
    """
    
    def __init__(
        self,
        pentachora_list: list,  # List of torch.Tensor, each [5, vocab_dim]
        vocab_dim: int = 256,
        img_size: int = 32,
        patch_size: int = 4,
        embed_dim: int = 512,
        depth: int = 12,
        num_heads: int = 8,
        mlp_ratio: float = 4.0,
        dropout: float = 0.0,
        attn_dropout: float = 0.0,
        similarity_mode: str = 'rose',  # 'centroid', 'max', or 'rose'
        norm_type: str = 'l1'  # 'l1' or 'l2' normalization
    ):
        super().__init__()
        
        # Validate pentachora list
        assert isinstance(pentachora_list, list), f"Expected list, got {type(pentachora_list)}"
        assert len(pentachora_list) > 0, "Empty pentachora list"
        
        for i, penta in enumerate(pentachora_list):
            assert isinstance(penta, torch.Tensor), f"Item {i} is not a tensor"
        
        self.num_classes = len(pentachora_list)
        self.embed_dim = embed_dim
        self.num_patches = (img_size // patch_size) ** 2
        self.similarity_mode = similarity_mode
        self.pentachora_dim = vocab_dim
        self.norm_type = norm_type
        
        # Create individual pentachora embeddings from list
        self.class_pentachora = nn.ModuleList([
            PentachoraEmbedding(vertices=penta, norm_type=norm_type)
            for penta in pentachora_list
        ])
        
        # Patch embedding
        self.patch_embed = nn.Conv2d(3, embed_dim, kernel_size=patch_size, stride=patch_size)
        
        # CLS token - learnable
        self.cls_token = nn.Parameter(torch.zeros(1, 1, embed_dim))
        
        # Position embeddings
        self.pos_embed = nn.Parameter(torch.zeros(1, 1 + self.num_patches, embed_dim))
        self.pos_drop = nn.Dropout(dropout)
        
        # Transformer blocks
        self.blocks = nn.ModuleList([
            TransformerBlock(
                dim=embed_dim,
                num_heads=num_heads,
                mlp_ratio=mlp_ratio,
                dropout=dropout,
                attn_dropout=attn_dropout
            )
            for i in range(depth)
        ])
        
        # Final norm
        self.norm = nn.LayerNorm(embed_dim)
        
        # Project to pentachora dimension if needed
        if self.pentachora_dim != embed_dim:
            self.to_pentachora_dim = nn.Linear(embed_dim, self.pentachora_dim)
        else:
            self.to_pentachora_dim = nn.Identity()
        
        # Temperature for similarity-based classification
        # For L1 norm, start with lower temperature since similarities are scaled
        if norm_type == 'l1':
            self.temperature = nn.Parameter(torch.zeros(1))  # exp(0) = 1
        else:
            self.temperature = nn.Parameter(torch.ones(1) * np.log(1/0.07))
        
        # Precompute all centroids for efficiency
        self.register_buffer(
            'all_centroids',
            torch.stack([penta.centroid for penta in self.class_pentachora])
        )
        
        # Normalize centroids according to norm type
        if norm_type == 'l1':
            centroids_normalized = self.all_centroids / (
                self.all_centroids.abs().sum(dim=-1, keepdim=True) + 1e-8)
        else:
            centroids_normalized = F.normalize(self.all_centroids, dim=-1)
        
        self.register_buffer('all_centroids_norm', centroids_normalized)

        # Initialize weights
        self.init_weights()
    
    def init_weights(self):
        """Initialize model weights."""
        nn.init.trunc_normal_(self.cls_token, std=0.02)
        nn.init.trunc_normal_(self.pos_embed, std=0.02)
        
        for m in self.modules():
            if isinstance(m, nn.Linear):
                nn.init.trunc_normal_(m.weight, std=0.02)
                if m.bias is not None:
                    nn.init.zeros_(m.bias)
            elif isinstance(m, nn.LayerNorm):
                nn.init.ones_(m.weight)
                nn.init.zeros_(m.bias)
    
    def get_class_centroids(self) -> torch.Tensor:
        return self.all_centroids_norm
        
    def compute_pentachora_similarities(self, features: torch.Tensor) -> torch.Tensor:
        """
        Compute similarities between features and all class pentachora.
        Properly scaled for L1 or L2 norm.
        """
        if self.similarity_mode == 'rose':
            # Stack all vertices into single tensor for batch Rose scoring
            all_vertices = torch.stack([penta.vertices for penta in self.class_pentachora])
            features_exp = features.unsqueeze(1).expand(-1, self.num_classes, -1)
            scores = PentachoronStabilizer.rose_score_magnitude(
                features_exp.reshape(-1, self.pentachora_dim), 
                all_vertices.repeat(features.shape[0], 1, 1)
            ).reshape(features.shape[0], -1)
            
            # Scale for L1 norm
            if self.norm_type == 'l1':
                scores = scores * 10.0
            return scores
        else:
            # Normalize features according to norm type
            if self.norm_type == 'l1':
                features_norm = features / (features.abs().sum(dim=-1, keepdim=True) + 1e-8)
            else:
                features_norm = F.normalize(features, dim=-1)
            
            centroids = self.get_class_centroids()
            sims = torch.matmul(features_norm, centroids.T)
            
            # Scale for L1 norm
            if self.norm_type == 'l1':
                sims = sims * 10.0
            return sims
    
    def forward_features(self, x: torch.Tensor) -> torch.Tensor:
        """Extract features from images."""
        B = x.shape[0]
        
        # Patch embedding
        x = self.patch_embed(x)  # [B, embed_dim, H', W']
        x = x.flatten(2).transpose(1, 2)  # [B, num_patches, embed_dim]
        
        # Add CLS token
        cls_tokens = self.cls_token.expand(B, -1, -1)
        x = torch.cat([cls_tokens, x], dim=1)
        
        # Add position embeddings
        x = x + self.pos_embed
        x = self.pos_drop(x)
        
        # Apply transformer blocks
        for block in self.blocks:
            x = block(x)
        
        # Final norm
        x = self.norm(x)
        
        # Return CLS token
        return x[:, 0]
    
    def forward(self, x: torch.Tensor, return_features: bool = False) -> Dict[str, torch.Tensor]:
        """
        Forward pass.
        
        Returns dict with:
            - logits: classification logits
            - features: CLS features (if return_features=True)
            - features_proj: projected features in pentachora space
            - similarities: raw similarities to pentachora
        """
        features = self.forward_features(x)
        
        output = {}
        
        # Project to pentachora dimension
        features_proj = self.to_pentachora_dim(features)
        
        # Apply appropriate normalization for projected features
        if self.norm_type == 'l1':
            # L1 normalize the projected features
            features_proj = features_proj / (features_proj.abs().sum(dim=-1, keepdim=True) + 1e-8)
        
        # Compute similarities
        similarities = self.compute_pentachora_similarities(features_proj)
        
        # Scale by temperature
        logits = similarities * self.temperature.exp()
        
        output['logits'] = logits
        output['similarities'] = similarities
        
        if return_features:
            output['features'] = features  # Original transformer features
            output['features_proj'] = features_proj  # Projected features
        
        return output


# Test - requires external setup
if __name__ == "__main__":
    print("BaselineViT requires:")
    print("  1. PentachoronStabilizer loaded externally")
    print("  2. pentachora_batch tensor [num_classes, 5, vocab_dim]")
    print("\nNo random initialization. No fallbacks.")