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"""Networks.

get_unet      : MONAI 3D U-Net for Stage-1 semantic segmentation.
ImplicitNet   : Stage-2 core. A 3D CNN encoder turns the ROI into a feature grid;
                a coordinate MLP, conditioned on (position, interpolated feature,
                per-instance latent code z), predicts TWO signed distances
                (tooth outer surface, canal inner surface).
"""
import torch
import torch.nn as nn
import torch.nn.functional as F


def trilinear_sample_feat(feat, p):
    """Hand-written differentiable trilinear sampling on a feature volume.

    feat: [B, C, X, Y, Z]   (channel-first, axis order x,y,z)
    p   : [B, N, 3]         normalized coords in [-1, 1] in (x, y, z) order

    Returns: [B, N, C]. Supports second-order autograd on `p`, which
    PyTorch's grid_sample does not (grid_sampler_3d_backward has no derivative).
    Out-of-bounds samples are clamped to the border.
    """
    B, C, X, Y, Z = feat.shape
    sizes = torch.tensor([X, Y, Z], device=p.device, dtype=p.dtype)
    # map [-1,1] -> [0, size-1]
    px = (p + 1.0) * 0.5 * (sizes - 1)                            # [B, N, 3]
    px = torch.stack([px[..., k].clamp(0, sizes[k] - 1) for k in range(3)], -1)
    x0 = px[..., 0].floor(); x1 = (x0 + 1).clamp(max=X - 1)
    y0 = px[..., 1].floor(); y1 = (y0 + 1).clamp(max=Y - 1)
    z0 = px[..., 2].floor(); z1 = (z0 + 1).clamp(max=Z - 1)
    xd = (px[..., 0] - x0).unsqueeze(-1)
    yd = (px[..., 1] - y0).unsqueeze(-1)
    zd = (px[..., 2] - z0).unsqueeze(-1)
    x0i, x1i = x0.long(), x1.long()
    y0i, y1i = y0.long(), y1.long()
    z0i, z1i = z0.long(), z1.long()
    # gather corners: [B, N, C] each
    feat_flat = feat.permute(0, 2, 3, 4, 1).contiguous()          # [B, X, Y, Z, C]
    bidx = torch.arange(B, device=p.device).view(B, 1).expand(-1, p.shape[1])

    def g(xi, yi, zi):
        return feat_flat[bidx, xi, yi, zi]                        # [B, N, C]

    c00 = g(x0i, y0i, z0i) * (1 - xd) + g(x1i, y0i, z0i) * xd
    c01 = g(x0i, y0i, z1i) * (1 - xd) + g(x1i, y0i, z1i) * xd
    c10 = g(x0i, y1i, z0i) * (1 - xd) + g(x1i, y1i, z0i) * xd
    c11 = g(x0i, y1i, z1i) * (1 - xd) + g(x1i, y1i, z1i) * xd
    c0 = c00 * (1 - yd) + c10 * yd
    c1 = c01 * (1 - yd) + c11 * yd
    return c0 * (1 - zd) + c1 * zd                                # [B, N, C]


def get_unet(num_classes=3, channels=(16, 32, 64, 128, 256)):
    from monai.networks.nets import UNet
    return UNet(
        spatial_dims=3, in_channels=1, out_channels=num_classes,
        channels=channels, strides=(2,) * (len(channels) - 1),
        num_res_units=2, norm="instance",
    )


class Encoder3D(nn.Module):
    """U-Net-style ROI encoder producing TWO feature grids:
        - feat_fine  : high-resolution (1/2 of input) -> preserves local canal detail
        - feat_coarse: low-resolution (1/8 of input)  -> global tooth context
    Per-point queries sample BOTH (ConvONet-style local implicit features), so thin
    structures keep their detail instead of being averaged into one global vector."""
    def __init__(self, ch=(32, 64, 128), feat_dim=64):
        super().__init__()
        c1, c2, c3 = ch
        # encoder (downsampling)
        self.e0 = nn.Sequential(nn.Conv3d(1, c1, 3, padding=1), nn.GroupNorm(8, c1), nn.SiLU(),
                                nn.Conv3d(c1, c1, 3, padding=1), nn.GroupNorm(8, c1), nn.SiLU())
        self.d1 = nn.Conv3d(c1, c1, 3, stride=2, padding=1)
        self.e1 = nn.Sequential(nn.Conv3d(c1, c2, 3, padding=1), nn.GroupNorm(8, c2), nn.SiLU(),
                                nn.Conv3d(c2, c2, 3, padding=1), nn.GroupNorm(8, c2), nn.SiLU())
        self.d2 = nn.Conv3d(c2, c2, 3, stride=2, padding=1)
        self.e2 = nn.Sequential(nn.Conv3d(c2, c3, 3, padding=1), nn.GroupNorm(8, c3), nn.SiLU(),
                                nn.Conv3d(c3, c3, 3, padding=1), nn.GroupNorm(8, c3), nn.SiLU())
        self.d3 = nn.Conv3d(c3, c3, 3, stride=2, padding=1)
        self.bott = nn.Sequential(nn.Conv3d(c3, c3, 3, padding=1), nn.GroupNorm(8, c3), nn.SiLU())
        # heads: fine grid at 1/2 res (from e0 after one downsample skip), coarse at 1/8
        self.head_fine = nn.Conv3d(c1, feat_dim, 1)        # at 1/2 input res
        self.head_coarse = nn.Conv3d(c3, feat_dim, 1)      # at 1/8 input res
        self.feat_dim = feat_dim

    def forward(self, x):
        h0 = self.e0(x)                 # [B,c1, V,  V,  V]   (full res)
        h1 = self.e1(self.d1(h0))       # [B,c2, V/2,...]
        h2 = self.e2(self.d2(h1))       # [B,c3, V/4,...]
        hb = self.bott(self.d3(h2))     # [B,c3, V/8,...]
        # fine feature grid: downsample h0 once to 1/2 res to keep memory sane but local
        fine = self.head_fine(F.avg_pool3d(h0, 2))         # [B,feat, V/2,...]
        coarse = self.head_coarse(hb)                      # [B,feat, V/8,...]
        return fine, coarse


class ImplicitDecoder(nn.Module):
    def __init__(self, feat_dim=64, latent_dim=64, hidden=256, layers=5):
        super().__init__()
        # input = coords(3) + fine_feat + coarse_feat + global_latent
        in_dim = 3 + feat_dim + feat_dim + latent_dim
        net = [nn.Linear(in_dim, hidden), nn.SiLU()]
        for _ in range(layers - 2):
            net += [nn.Linear(hidden, hidden), nn.SiLU()]
        self.backbone = nn.Sequential(*net)
        self.out = nn.Linear(hidden, 2)           # tooth sdf, canal sdf

    def forward(self, feats):
        return self.out(self.backbone(feats))     # [..., 2]


class ImplicitNet(nn.Module):
    def __init__(self, num_instances, cfg):
        super().__init__()
        s2 = cfg["stage2"]
        self.feat_dim = s2["feat_dim"]
        self.latent_dim = s2["latent_dim"]
        self.encoder = Encoder3D(tuple(s2["enc_channels"]), self.feat_dim)
        self.decoder = ImplicitDecoder(self.feat_dim, self.latent_dim,
                                       s2["mlp_hidden"], s2["mlp_layers"])
        self.latents = nn.Embedding(max(num_instances, 1), self.latent_dim)
        nn.init.normal_(self.latents.weight, 0.0, 0.01)
        # P1-6: predict a latent from the ROI feature grid so new (test) cases get a
        # latent from the image alone -- no GT, no per-instance table lookup needed.
        self.use_encoder_latent = bool(s2.get("encoder_latent", False))
        if self.use_encoder_latent:
            self.latent_head = nn.Sequential(
                nn.AdaptiveAvgPool3d(1), nn.Flatten(),
                nn.Linear(self.feat_dim, self.latent_dim))

    def encode(self, roi):
        # returns (fine_grid, coarse_grid)
        return self.encoder(roi)

    def latent_from_feat(self, feat, gid=None):
        """Global latent (now just CONTEXT, secondary to local features). Pooled from
        the coarse grid. With encoder_latent on, predicted from the image alone."""
        fine, coarse = feat
        if self.use_encoder_latent:
            z = self.latent_head(coarse)
            if gid is not None and self.training:
                z = z + self.latents(gid)
            return z
        return self.latents(gid)

    def query(self, feat, coords_mm, half_mm, z, compute_grad=False):
        """feat: (fine_grid, coarse_grid). For each query point we trilinearly sample
        BOTH grids -> local detail (fine) + global context (coarse), concat with the
        global latent z. This is the ConvONet-style local-implicit decode that keeps
        thin canal detail instead of averaging it into one global vector."""
        fine, coarse = feat
        B, N = coords_mm.shape[0], coords_mm.shape[1]
        if compute_grad:
            coords_mm = coords_mm.clone().requires_grad_(True)
        if torch.is_tensor(half_mm):
            half = half_mm.view(B, 1, 1)
        else:
            half = half_mm
        p = coords_mm / half                                  # ~[-1,1]
        f_fine = trilinear_sample_feat(fine, p)               # [B,N,feat] local detail
        f_coarse = trilinear_sample_feat(coarse, p)           # [B,N,feat] context
        zexp = z[:, None, :].expand(-1, N, -1)
        inp = torch.cat([p, f_fine, f_coarse, zexp], dim=-1)
        sdf = self.decoder(inp)

        grads = None
        if compute_grad:
            grads = {}
            for k, name in [(0, "tooth"), (1, "canal")]:
                g = torch.autograd.grad(
                    sdf[..., k].sum(), coords_mm, create_graph=self.training,
                    retain_graph=True)[0]
                grads[name] = g
        return sdf, grads

    def forward(self, roi, gid, coords_mm, half_mm, compute_grad=False):
        feat = self.encode(roi)
        z = self.latent_from_feat(feat, gid)
        return self.query(feat, coords_mm, half_mm, z, compute_grad)