@triton.heuristics({'USE_INITIAL_STATE': lambda args: args['h0'] is not
    None, 'STORE_FINAL_STATE': lambda args: args['ht'] is not None,
    'USE_OFFSETS': lambda args: args['offsets'] is not None})
@triton.autotune(configs=[triton.Config({}, num_warps=num_warps) for
    num_warps in [1, 2, 4, 8, 16]], key=['BT', 'BK', 'BV'])
@triton.jit
def chunk_delta_rule_fwd_kernel_h(k, v, d, v_new, h, h0, ht, offsets,
    chunk_offsets, T: tl.constexpr, H: tl.constexpr, K: tl.constexpr, V: tl
    .constexpr, BT: tl.constexpr, BC: tl.constexpr, BK: tl.constexpr, BV:
    tl.constexpr, NT: tl.constexpr, USE_INITIAL_STATE: tl.constexpr,
    STORE_FINAL_STATE: tl.constexpr, USE_OFFSETS: tl.constexpr, HEAD_FIRST:
    tl.constexpr):
    i_k, i_v, i_nh = tl.program_id(0), tl.program_id(1), tl.program_id(2)
    i_n, i_h = i_nh // H, i_nh % H
    if USE_OFFSETS:
        bos, eos = tl.load(offsets + i_n).to(tl.int32), tl.load(offsets +
            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
    b_h = tl.zeros([BK, BV], dtype=tl.float32)
    if USE_INITIAL_STATE:
        p_h0 = tl.make_block_ptr(h0 + i_nh * K * V, (K, V), (V, 1), (i_k *
            BK, i_v * BV), (BK, BV), (1, 0))
        b_h = tl.load(p_h0, boundary_check=(0, 1)).to(tl.float32)
    for i_t in range(NT):
        if HEAD_FIRST:
            p_h = tl.make_block_ptr(h + (i_nh * NT + i_t) * K * V, (K, V),
                (V, 1), (i_k * BK, i_v * BV), (BK, BV), (1, 0))
        else:
            p_h = tl.make_block_ptr(h + ((boh + i_t) * H + i_h) * K * V, (K,
                V), (V, 1), (i_k * BK, i_v * BV), (BK, BV), (1, 0))
        tl.store(p_h, b_h.to(p_h.dtype.element_ty), boundary_check=(0, 1))
        b_hc = tl.zeros([BK, BV], dtype=tl.float32)
        for i_c in range(tl.cdiv(min(BT, T - i_t * BT), BC)):
            if HEAD_FIRST:
                p_k = tl.make_block_ptr(k + i_nh * T * K, (K, T), (1, K), (
                    i_k * BK, i_t * BT + i_c * BC), (BK, BC), (0, 1))
                p_d = tl.make_block_ptr(d + i_nh * T * K, (T, K), (K, 1), (
                    i_t * BT + i_c * BC, i_k * BK), (BC, BK), (1, 0))
                p_v = tl.make_block_ptr(v + i_nh * T * V, (T, V), (V, 1), (
                    i_t * BT + i_c * BC, i_v * BV), (BC, BV), (1, 0))
                p_v_new = tl.make_block_ptr(v_new + i_nh * T * V, (T, V), (
                    V, 1), (i_t * BT + i_c * BC, i_v * BV), (BC, BV), (1, 0))
            else:
                p_k = tl.make_block_ptr(k + (bos * H + i_h) * K, (K, T), (1,
                    H * K), (i_k * BK, i_t * BT + i_c * BC), (BK, BC), (0, 1))
                p_d = tl.make_block_ptr(d + (bos * H + i_h) * K, (T, K), (H *
                    K, 1), (i_t * BT + i_c * BC, i_k * BK), (BC, BK), (1, 0))
                p_v = tl.make_block_ptr(v + (bos * H + i_h) * V, (T, V), (H *
                    V, 1), (i_t * BT + i_c * BC, i_v * BV), (BC, BV), (1, 0))
                p_v_new = tl.make_block_ptr(v_new + (bos * H + i_h) * V, (T,
                    V), (H * V, 1), (i_t * BT + i_c * BC, i_v * BV), (BC,
                    BV), (1, 0))
            b_k = tl.load(p_k, boundary_check=(0, 1))
            b_d = tl.load(p_d, boundary_check=(0, 1))
            b_v = tl.load(p_v, boundary_check=(0, 1))
            b_v -= tl.dot(b_d, b_h.to(b_k.dtype))
            tl.store(p_v_new, b_v.to(p_v_new.dtype.element_ty),
                boundary_check=(0, 1))
            b_hc += tl.dot(b_k, b_v.to(b_k.dtype), allow_tf32=False)
        b_h += b_hc
    if STORE_FINAL_STATE:
        p_ht = tl.make_block_ptr(ht + i_nh * K * V, (K, V), (V, 1), (i_k *
            BK, i_v * BV), (BK, BV), (1, 0))
        tl.store(p_ht, b_h.to(p_ht.dtype.element_ty), boundary_check=(0, 1))
