//  [python]
def fasterquant(self,
                    blocksize=128, 
                    percdamp=0.01, 
                    partition=3, 
                    orders=(1,1,2),
                    ):
        W = self.layer.weight.data.clone()
        if isinstance(self.layer, nn.Conv2d):
            W = W.flatten(1)
        if isinstance(self.layer, transformers.Conv1D):
            W = W.t()
        W = W.float()
        tick = time.time()

        H = self.H
        del self.H
        dead = torch.diag(H) == 0
        H[dead, dead] = 1
        W[:, dead] = 0

        Losses = torch.zeros(self.rows, device=self.dev)

        damp = percdamp * torch.mean(torch.diag(H))
        diag = torch.arange(self.columns, device=self.dev)
        H[diag, diag] += damp
        H = torch.linalg.cholesky(H)
        H = torch.cholesky_inverse(H)
        H = torch.linalg.cholesky(H, upper=True)
        Hinv = H

        for blocki, col_st in enumerate(range(0, self.columns, blocksize)):
            col_ed = min(col_st + blocksize, self.columns)
            n_cols = col_ed - col_st

            st = col_st
            ed = col_ed
            mask = torch.zeros_like(W[:, st:ed], dtype=torch.bool).unsqueeze(0).repeat_interleave(partition, dim=0)
            mask1, mask2, mask3 = structural_guassian_distribution(W[:, st:ed], H[st:ed, st:ed], self.salient_metric, 50)
            mask[0] = mask1
            mask[1] = mask2
            mask[2] = mask3

            assert self.braq_quantizer.groupsize % blocksize == 0

            if self.disable_gptq:
                # RTN
                # print("RTN")
                w = W[:, col_st:col_ed]
                
                # from low to high group
                q_part_groups = []
                for i in range(mask.shape[0]):
                    q_part_groups.append(self.braq_quantizer.quantize(w, mask[i], order=orders[i]))

                q = torch.zeros_like(w)
                for j in range(mask.shape[0]):
                    q += q_part_groups[j][:] * mask[j, :]
                W[:, col_st:col_ed] = q
            else:
                # shape of W1: [oc, n_cols]
                W1 = W[:, col_st:col_ed].clone()
                Q1 = torch.zeros_like(W1)
                Err1 = torch.zeros_like(W1)
                Losses1 = torch.zeros_like(W1)
                Hinv1 = Hinv[col_st:col_ed, col_st:col_ed]

                q_part_groups = []

                for i in range(mask.shape[0]):
                    q_part_groups.append(self.braq_quantizer.quantize(W1, mask[i], order=orders[i]))

                for i in range(n_cols):
                    # shape of w: [oc, 1]
                    w = W1[:, i]
                    d = Hinv1[i, i]

                    q = torch.zeros_like(w)
                    for j in range(mask.shape[0]):
                        q += q_part_groups[j][:, i] * mask[j, :, i]

                    Q1[:, i] = q
                    Losses1[:, i] = (w - q) ** 2 / d**2
                    # breakpoint()

                    err1 = (w - q) / d
                    Err1[:, i] = err1

                W[:, col_st:col_ed] = Q1
                Losses += torch.sum(Losses1, 1) / 2

                W[:, col_ed:] -= Err1.matmul(Hinv[col_st:col_ed, col_ed:])

                if DEBUG:
                    self.layer.weight.data[:, :col_ed] = W[:, :col_ed]
                    self.layer.weight.data[:, col_ed:] = W[:, col_ed:]
                    print(torch.sum((self.layer(self.inp1) - self.out1) ** 2))
                    print(torch.sum(Losses))

        torch.cuda.synchronize()
        print("time %.2f" % (time.time() - tick))
        print("error", torch.sum(Losses).item())

        if isinstance(self.layer, transformers.Conv1D):
            W = W.t()
        self.layer.weight.data = W.reshape(self.layer.weight.shape).to(
            self.layer.weight.data.dtype
        )
        if DEBUG:
            print(torch.sum((self.layer(self.inp1) - self.out1) ** 2))

        del mask
        del mask1, mask2, mask3
        if not self.disable_gptq:
            del W1, Q1, W, Err1, Losses1, Hinv1
        del H, Hinv
        torch.cuda.empty_cache()
        return {"error": torch.sum(Losses).item()}