@triton.heuristics(
    {
        "USE_G": lambda args: args["g"] is not None,
        "USE_INITIAL_STATE": lambda args: args["h0"] is not None,
        "STORE_FINAL_STATE": lambda args: args["ht"] is not None,
        "SAVE_NEW_VALUE": lambda args: args["v_new"] is not None,
        "IS_VARLEN": lambda args: args["cu_seqlens"] is not None,
    }
)
@triton.autotune(
    configs=[
        triton.Config({"BV": BV}, num_warps=num_warps, num_stages=num_stages)
        for num_warps in [2, 4]
        for num_stages in [2, 3, 4]
        for BV in [32, 64]
    ],
    key=["H", "K", "V", "BT", "USE_G"],
    use_cuda_graph=use_cuda_graph,
)
@triton.jit(do_not_specialize=["T"])
def chunk_gated_delta_rule_fwd_kernel_h_blockdim64(
    k,
    v,
    w,
    v_new,
    g,
    h,
    h0,
    ht,
    cu_seqlens,
    chunk_offsets,
    T,
    H: tl.constexpr,
    Hg: tl.constexpr,
    K: tl.constexpr,
    V: tl.constexpr,
    BT: tl.constexpr,
    BV: tl.constexpr,
    USE_G: tl.constexpr,
    USE_INITIAL_STATE: tl.constexpr,
    STORE_FINAL_STATE: tl.constexpr,
    SAVE_NEW_VALUE: tl.constexpr,
    IS_VARLEN: tl.constexpr,
):
    i_v, i_nh = tl.program_id(0), tl.program_id(1)
    i_n, i_h = i_nh // H, i_nh % H
    if IS_VARLEN:
        bos, eos = (
            tl.load(cu_seqlens + i_n).to(tl.int32),
            tl.load(cu_seqlens + i_n + 1).to(tl.int32),
        )
        T = eos - bos
        NT = tl.cdiv(T, BT)
        boh = tl.load(chunk_offsets + i_n).to(tl.int32)
    else:
        bos, eos = i_n * T, i_n * T + T
        NT = tl.cdiv(T, BT)
        boh = i_n * NT
    # [BK, BV]
    b_h1 = tl.zeros([64, BV], dtype=tl.float32)
    if K > 64:
        b_h2 = tl.zeros([64, BV], dtype=tl.float32)
    if K > 128:
        b_h3 = tl.zeros([64, BV], dtype=tl.float32)
    if K > 192:
        b_h4 = tl.zeros([64, BV], dtype=tl.float32)
    # calculate offset
    h += (boh * H + i_h) * K * V
    v += (bos * H + i_h) * V
    k += (bos * Hg + i_h // (H // Hg)) * K
    w += (bos * H + i_h) * K
    if SAVE_NEW_VALUE:
        v_new += (bos * H + i_h) * V
    stride_v = H * V
    stride_h = H * K * V
    stride_k = Hg * K
    stride_w = H * K
    if USE_INITIAL_STATE:
        h0 = h0 + i_nh * K * V
    if STORE_FINAL_STATE:
        ht = ht + i_nh * K * V
    # load initial state
    if USE_INITIAL_STATE:
        p_h0_1 = tl.make_block_ptr(h0, (K, V), (V, 1), (0, i_v * BV), (64, BV), (1, 0))
        b_h1 += tl.load(p_h0_1, boundary_check=(0, 1)).to(tl.float32)
        if K > 64:
            p_h0_2 = tl.make_block_ptr(
                h0, (K, V), (V, 1), (64, i_v * BV), (64, BV), (1, 0)
            )
            b_h2 += tl.load(p_h0_2, boundary_check=(0, 1)).to(tl.float32)
        if K > 128:
            p_h0_3 = tl.make_block_ptr(
                h0, (K, V), (V, 1), (128, i_v * BV), (64, BV), (1, 0)
            )
            b_h3 += tl.load(p_h0_3, boundary_check=(0, 1)).to(tl.float32)
        if K > 192:
            p_h0_4 = tl.make_block_ptr(
                h0, (K, V), (V, 1), (192, i_v * BV), (64, BV), (1, 0)
            )
            b_h4 += tl.load(p_h0_4, boundary_check=(0, 1)).to(tl.float32)
    # main recurrence
    for i_t in range(NT):
        p_h1 = tl.make_block_ptr(
            h + i_t * stride_h, (K, V), (V, 1), (0, i_v * BV), (64, BV), (1, 0)
        )
        tl.store(p_h1, b_h1.to(p_h1.dtype.element_ty), boundary_check=(0, 1))
        if K > 64:
            p_h2 = tl.make_block_ptr(
                h + i_t * stride_h, (K, V), (V, 1), (64, i_v * BV), (64, BV), (1, 0)
            )
            tl.store(p_h2, b_h2.to(p_h2.dtype.element_ty), boundary_check=(0, 1))
        if K > 128:
            p_h3 = tl.make_block_ptr(
                h + i_t * stride_h, (K, V), (V, 1), (128, i_v * BV), (64, BV), (1, 0)
            )
            tl.store(p_h3, b_h3.to(p_h3.dtype.element_ty), boundary_check=(0, 1))
        if K > 192:
            p_h4 = tl.make_block_ptr(
                h + i_t * stride_h, (K, V), (V, 1), (192, i_v * BV), (64, BV), (1, 0)
            )
            tl.store(p_h4, b_h4.to(p_h4.dtype.element_ty), boundary_check=(0, 1))
        p_v = tl.make_block_ptr(
            v, (T, V), (stride_v, 1), (i_t * BT, i_v * BV), (BT, BV), (1, 0)
        )
        p_v_new = (
            tl.make_block_ptr(
                v_new, (T, V), (stride_v, 1), (i_t * BT, i_v * BV), (BT, BV), (1, 0)
            )
            if SAVE_NEW_VALUE
            else None
        )
        b_v_new = tl.zeros([BT, BV], dtype=tl.float32)
        p_w = tl.make_block_ptr(
            w, (T, K), (stride_w, 1), (i_t * BT, 0), (BT, 64), (1, 0)
        )
        b_w = tl.load(p_w, boundary_check=(0, 1))
        b_v_new += tl.dot(b_w, b_h1.to(b_w.dtype))
        if K > 64:
            p_w = tl.make_block_ptr(
                w, (T, K), (stride_w, 1), (i_t * BT, 64), (BT, 64), (1, 0)
            )
            b_w = tl.load(p_w, boundary_check=(0, 1))
            b_v_new += tl.dot(b_w, b_h2.to(b_w.dtype))
        if K > 128:
            p_w = tl.make_block_ptr(
                w, (T, K), (stride_w, 1), (i_t * BT, 128), (BT, 64), (1, 0)
            )
            b_w = tl.load(p_w, boundary_check=(0, 1))
            b_v_new += tl.dot(b_w, b_h3.to(b_w.dtype))
        if K > 192:
            p_w = tl.make_block_ptr(
                w, (T, K), (stride_w, 1), (i_t * BT, 192), (BT, 64), (1, 0)
            )
            b_w = tl.load(p_w, boundary_check=(0, 1))
            b_v_new += tl.dot(b_w, b_h4.to(b_w.dtype))
        b_v_new = -b_v_new + tl.load(p_v, boundary_check=(0, 1))
        if SAVE_NEW_VALUE:
            p_v_new = tl.make_block_ptr(
                v_new, (T, V), (stride_v, 1), (i_t * BT, i_v * BV), (BT, BV), (1, 0)
            )
            tl.store(
                p_v_new, b_v_new.to(p_v_new.dtype.element_ty), boundary_check=(0, 1)
            )
        if USE_G:
            m_t = (i_t * BT + tl.arange(0, BT)) < T
            last_idx = min((i_t + 1) * BT, T) - 1
            b_g_last = tl.load(g + bos * H + last_idx * H + i_h)
            p_g = tl.make_block_ptr(
                g + bos * H + i_h, (T,), (H,), (i_t * BT,), (BT,), (0,)
            )
            b_g = tl.load(p_g, boundary_check=(0,))
            b_v_new = b_v_new * tl.where(m_t, exp(b_g_last - b_g), 0)[:, None]
            b_g_last = exp(b_g_last)
            b_h1 = b_h1 * b_g_last
            if K > 64:
                b_h2 = b_h2 * b_g_last
            if K > 128:
                b_h3 = b_h3 * b_g_last
            if K > 192:
                b_h4 = b_h4 * b_g_last
        b_v_new = b_v_new.to(k.dtype.element_ty)
        p_k = tl.make_block_ptr(
            k, (K, T), (1, stride_k), (0, i_t * BT), (64, BT), (0, 1)
        )
        b_k = tl.load(p_k, boundary_check=(0, 1))
        b_h1 += tl.dot(b_k, b_v_new)
        if K > 64:
            p_k = tl.make_block_ptr(
                k, (K, T), (1, stride_k), (64, i_t * BT), (64, BT), (0, 1)
            )
            b_k = tl.load(p_k, boundary_check=(0, 1))
            b_h2 += tl.dot(b_k, b_v_new)
        if K > 128:
            p_k = tl.make_block_ptr(
                k, (K, T), (1, stride_k), (128, i_t * BT), (64, BT), (0, 1)
            )
            b_k = tl.load(p_k, boundary_check=(0, 1))
            b_h3 += tl.dot(b_k, b_v_new)
        if K > 192:
            p_k = tl.make_block_ptr(
                k, (K, T), (1, stride_k), (192, i_t * BT), (64, BT), (0, 1)
            )
            b_k = tl.load(p_k, boundary_check=(0, 1))
            b_h4 += tl.dot(b_k, b_v_new)
    # epilogue
    if STORE_FINAL_STATE:
        p_ht = tl.make_block_ptr(ht, (K, V), (V, 1), (0, i_v * BV), (64, BV), (1, 0))
        tl.store(p_ht, b_h1.to(p_ht.dtype.element_ty), boundary_check=(0, 1))
        if K > 64:
            p_ht = tl.make_block_ptr(
                ht, (K, V), (V, 1), (64, i_v * BV), (64, BV), (1, 0)
            )
            tl.store(p_ht, b_h2.to(p_ht.dtype.element_ty), boundary_check=(0, 1))
        if K > 128:
            p_ht = tl.make_block_ptr(
                ht, (K, V), (V, 1), (128, i_v * BV), (64, BV), (1, 0)
            )
            tl.store(p_ht, b_h3.to(p_ht.dtype.element_ty), boundary_check=(0, 1))
        if K > 192:
            p_ht = tl.make_block_ptr(
                ht, (K, V), (V, 1), (192, i_v * BV), (64, BV), (1, 0)
            )
            tl.store(p_ht, b_h4.to(p_ht.dtype.element_ty), boundary_check=(0, 1))