  void Compute(OpKernelContext* ctx) override {
    const Tensor& in = ctx->input(0);
    const TensorShape& input_shape = in.shape();
    const int fft_rank = Rank();
    OP_REQUIRES(
        ctx, input_shape.dims() >= fft_rank,
        errors::InvalidArgument("Input must have rank of at least ", fft_rank,
                                " but got: ", input_shape.DebugString()));

    Tensor* out;
    TensorShape output_shape = input_shape;
    uint64 fft_shape[3] = {0, 0, 0};

    // In R2C or C2R mode, we use a second input to specify the FFT length
    // instead of inferring it from the input shape.
    if (IsReal()) {
      const Tensor& fft_length = ctx->input(1);
      OP_REQUIRES(ctx,
                  fft_length.shape().dims() == 1 &&
                      fft_length.shape().dim_size(0) == fft_rank,
                  errors::InvalidArgument("fft_length must have shape [",
                                          fft_rank, "]"));

      auto fft_length_as_vec = fft_length.vec<int32>();
      for (int i = 0; i < fft_rank; ++i) {
        fft_shape[i] = fft_length_as_vec(i);
        // Each input dimension must have length of at least fft_shape[i]. For
        // IRFFTs, the inner-most input dimension must have length of at least
        // fft_shape[i] / 2 + 1.
        bool inner_most = (i == fft_rank - 1);
        uint64 min_input_dim_length =
            !IsForward() && inner_most ? fft_shape[i] / 2 + 1 : fft_shape[i];
        auto input_index = input_shape.dims() - fft_rank + i;
        OP_REQUIRES(
            ctx,
            // We pass through empty tensors, so special case them here.
            input_shape.dim_size(input_index) == 0 ||
                input_shape.dim_size(input_index) >= min_input_dim_length,
            errors::InvalidArgument(
                "Input dimension ", input_index,
                " must have length of at least ", min_input_dim_length,
                " but got: ", input_shape.dim_size(input_index)));
        uint64 dim = IsForward() && inner_most && fft_shape[i] != 0
                         ? fft_shape[i] / 2 + 1
                         : fft_shape[i];
        output_shape.set_dim(output_shape.dims() - fft_rank + i, dim);
      }
    } else {
      for (int i = 0; i < fft_rank; ++i) {
        fft_shape[i] =
            output_shape.dim_size(output_shape.dims() - fft_rank + i);
      }
    }

    OP_REQUIRES_OK(ctx, ctx->allocate_output(0, output_shape, &out));

    if (IsReal()) {
      if (IsForward()) {
        OP_REQUIRES(
            ctx,
            (in.dtype() == DT_FLOAT && out->dtype() == DT_COMPLEX64) ||
                (in.dtype() == DT_DOUBLE && out->dtype() == DT_COMPLEX128),
            errors::InvalidArgument("Wrong types for forward real FFT: in=",
                                    in.dtype(), " out=", out->dtype()));
      } else {
        OP_REQUIRES(
            ctx,
            (in.dtype() == DT_COMPLEX64 && out->dtype() == DT_FLOAT) ||
                (in.dtype() == DT_COMPLEX128 && out->dtype() == DT_DOUBLE),
            errors::InvalidArgument("Wrong types for backward real FFT: in=",
                                    in.dtype(), " out=", out->dtype()));
      }
    } else {
      OP_REQUIRES(
          ctx,
          (in.dtype() == DT_COMPLEX64 && out->dtype() == DT_COMPLEX64) ||
              (in.dtype() == DT_COMPLEX128 && out->dtype() == DT_COMPLEX128),
          errors::InvalidArgument("Wrong types for FFT: in=", in.dtype(),
                                  " out=", out->dtype()));
    }

    if (input_shape.num_elements() == 0) {
      DCHECK_EQ(0, output_shape.num_elements());
      return;
    }

    DoFFT(ctx, in, fft_shape, out);
  }
  void Compute(OpKernelContext* ctx) override {
    const Tensor& in = ctx->input(0);
    const TensorShape& input_shape = in.shape();
    const int fft_rank = Rank();
    OP_REQUIRES(
        ctx, input_shape.dims() >= fft_rank,
        errors::InvalidArgument("Input must have rank of at least ", fft_rank,
                                " but got: ", input_shape.DebugString()));

    Tensor* out;
    TensorShape output_shape = input_shape;
    uint64 fft_shape[3] = {0, 0, 0};

     
     
    if (IsReal()) {
      const Tensor& fft_length = ctx->input(1);
      OP_REQUIRES(ctx,
                  fft_length.shape().dims() == 1 &&
                      fft_length.shape().dim_size(0) == fft_rank,
                  errors::InvalidArgument("fft_length must have shape [",
                                          fft_rank, "]"));

      auto fft_length_as_vec = fft_length.vec<int32>();
      for (int i = 0; i < fft_rank; ++i) {
        fft_shape[i] = fft_length_as_vec(i);
         
         
         
        bool inner_most = (i == fft_rank - 1);
        uint64 min_input_dim_length =
            !IsForward() && inner_most ? fft_shape[i] / 2 + 1 : fft_shape[i];
        auto input_index = input_shape.dims() - fft_rank + i;
        OP_REQUIRES(
            ctx,
             
            input_shape.dim_size(input_index) == 0 ||
                input_shape.dim_size(input_index) >= min_input_dim_length,
            errors::InvalidArgument(
                "Input dimension ", input_index,
                " must have length of at least ", min_input_dim_length,
                " but got: ", input_shape.dim_size(input_index)));
        uint64 dim = IsForward() && inner_most && fft_shape[i] != 0
                         ? fft_shape[i] / 2 + 1
                         : fft_shape[i];
        output_shape.set_dim(output_shape.dims() - fft_rank + i, dim);
      }
    } else {
      for (int i = 0; i < fft_rank; ++i) {
        fft_shape[i] =
            output_shape.dim_size(output_shape.dims() - fft_rank + i);
      }
    }

    OP_REQUIRES_OK(ctx, ctx->allocate_output(0, output_shape, &out));

    if (IsReal()) {
      if (IsForward()) {
        OP_REQUIRES(
            ctx,
            (in.dtype() == DT_FLOAT && out->dtype() == DT_COMPLEX64) ||
                (in.dtype() == DT_DOUBLE && out->dtype() == DT_COMPLEX128),
            errors::InvalidArgument("Wrong types for forward real FFT: in=",
                                    in.dtype(), " out=", out->dtype()));
      } else {
        OP_REQUIRES(
            ctx,
            (in.dtype() == DT_COMPLEX64 && out->dtype() == DT_FLOAT) ||
                (in.dtype() == DT_COMPLEX128 && out->dtype() == DT_DOUBLE),
            errors::InvalidArgument("Wrong types for backward real FFT: in=",
                                    in.dtype(), " out=", out->dtype()));
      }
    } else {
      OP_REQUIRES(
          ctx,
          (in.dtype() == DT_COMPLEX64 && out->dtype() == DT_COMPLEX64) ||
              (in.dtype() == DT_COMPLEX128 && out->dtype() == DT_COMPLEX128),
          errors::InvalidArgument("Wrong types for FFT: in=", in.dtype(),
                                  " out=", out->dtype()));
    }

    if (input_shape.num_elements() == 0) {
      DCHECK_EQ(0, output_shape.num_elements());
      return;
    }

    DoFFT(ctx, in, fft_shape, out);
  }