How to convert float raster to vector with python GDAL

I have float raster and now I want to convert it to vector. How is it possible with the Python GDAL library?

I have tried with gdal_polygonize.py of GDAL utilities on the command line and it worked excellently. But this utility is based on GDALPolygonize() of C++ library and I want to C++ method GDALFPolygonize() to be used instead, which manipulates float raster data as far as I know.