using fp32 data format to simulate mx data format is not equivalent？

[jackiechen19940708]

It's nice work but I have some questions：
we see that we use template T=float （see following code）
（1）to use fp32 to represent mx data format and
（2）simulating mx format calculation operation using fp32
so I think this may exist in-equivalent with real mx data format representation and operation. Do you use FPGA to evaluate how much error between the fp32-simuation and real mx data format？
template<typename T> __global__ void quantize_mx_cuda_kernel( const T* __restrict__ input, const int scale_bits, const int elem_ebits, const int elem_mbits, const float elem_max_norm, const float* __restrict__ max_values, const long total_size, const int axis_size, const int post_axis_size, const bool flush_fp32_subnorms, const RoundingMode rounding_mode, T* __restrict__ output ) {

[rizhao-msft]

Those CUDA kernels covert an FP32 input to MX. The output will be restricted to the allowed representable values of the MX data type. This conversion is bit-accurate to Float-to-MX conversion in hardware.

Can you specify what mismatches you are referring to? Is there a specific value or bit pattern which is not handled correctly?