code: def render_as_module(
      definitions, name, declarations=(), printer_settings=None
  ):
      """Creates a ``Module`` instance and renders it as a string.
  
      This generates Fortran source code for a module with the correct ``use`` statements.
  
      Parameters
      ==========
  
      definitions : iterable
          Passed to :class:`sympy.codegen.fnodes.Module`.
      name : str
          Passed to :class:`sympy.codegen.fnodes.Module`.
      declarations : iterable
          Passed to :class:`sympy.codegen.fnodes.Module`. It will be extended with
          use statements, 'implicit none' and public list generated from ``definitions``.
      printer_settings : dict
          Passed to ``FCodePrinter`` (default: ``{'standard': 2003, 'source_format': 'free'}``).
  
      """
      printer_settings = printer_settings or {
          "standard": 2003,
          "source_format": "free",
      }
      printer = FCodePrinter(printer_settings)
      dummy = Dummy()
      if isinstance(definitions, Module):
          raise ValueError(
              "This function expects to construct a module on its own."
          )
      mod = Module(name, chain(declarations, [dummy]), definitions)
      fstr = printer.doprint(mod)
      module_use_str = "   %s\n" % "   \n".join(
          [
              "use %s, only: %s" % (k, ", ".join(v))
              for k, v in printer.module_uses.items()
          ]
      )
      module_use_str += "   implicit none\n"
      module_use_str += "   private\n"
      module_use_str += "   public %s\n" % ", ".join(
          [
              str(node.name)
              for node in definitions
              if getattr(node, "name", None)
          ]
      )
      return fstr.replace(printer.doprint(dummy), module_use_str)
  
imports: from itertools import chain
  from sympy.codegen.fnodes import Module
  from sympy.core.symbol import Dummy
  from sympy.printing.fortran import FCodePrinter
label_desc: Use image node_id 1 for calling a global function with example usage: render_as_module(definitions, name, declarations, printer_settings) and returns: fstr