code: def render_math(
      self: HTML5Translator,
      math: str,
  ) -> tuple[str | None, int | None]:
      """Render the LaTeX math expression *math* using latex and dvipng or
      dvisvgm.
  
      Return the image absolute filename and the "depth",
      that is, the distance of image bottom and baseline in pixels, if the
      option to use preview_latex is switched on.
  
      Error handling may seem strange, but follows a pattern: if LaTeX or dvipng
      (dvisvgm) aren't available, only a warning is generated (since that enables
      people on machines without these programs to at least build the rest of the
      docs successfully).  If the programs are there, however, they may not fail
      since that indicates a problem in the math source.
      """
      image_format = self.builder.config.imgmath_image_format.lower()
      if image_format not in SUPPORT_FORMAT:
          unsupported_format_msg = (
              'imgmath_image_format must be either "png" or "svg"'
          )
          raise MathExtError(unsupported_format_msg)
  
      latex = generate_latex_macro(
          image_format, math, self.builder.config, self.builder.confdir
      )
  
      filename = f"{sha1(latex.encode(), usedforsecurity=False).hexdigest()}.{image_format}"
      generated_path = path.join(
          self.builder.outdir, self.builder.imagedir, "math", filename
      )
      ensuredir(path.dirname(generated_path))
      if path.isfile(generated_path):
          if image_format == "png":
              depth = read_png_depth(generated_path)
          elif image_format == "svg":
              depth = read_svg_depth(generated_path)
          return generated_path, depth
  
      # if latex or dvipng (dvisvgm) has failed once, don't bother to try again
      if hasattr(self.builder, "_imgmath_warned_latex") or hasattr(
          self.builder, "_imgmath_warned_image_translator"
      ):
          return None, None
  
      # .tex -> .dvi
      try:
          dvipath = compile_math(latex, self.builder)
      except InvokeError:
          self.builder._imgmath_warned_latex = True  # type: ignore[attr-defined]
          return None, None
  
      # .dvi -> .png/.svg
      try:
          if image_format == "png":
              depth = convert_dvi_to_png(
                  dvipath, self.builder, generated_path
              )
          elif image_format == "svg":
              depth = convert_dvi_to_svg(
                  dvipath, self.builder, generated_path
              )
      except InvokeError:
          self.builder._imgmath_warned_image_translator = True  # type: ignore[attr-defined]
          return None, None
  
      return generated_path, depth
  
imports: from __future__ import annotations
  import base64
  import contextlib
  import re
  import shutil
  import subprocess
  import tempfile
  from hashlib import sha1
  from os import path
  from subprocess import CalledProcessError
  from typing import TYPE_CHECKING, Any
  from docutils import nodes
  import sphinx
  from sphinx import package_dir
  from sphinx.errors import SphinxError
  from sphinx.locale import _, __
  from sphinx.util import logging
  from sphinx.util.math import get_node_equation_number, wrap_displaymath
  from sphinx.util.osutil import ensuredir
  from sphinx.util.png import read_png_depth, write_png_depth
  from sphinx.util.template import LaTeXRenderer
label_desc: Use image node_id 9 for calling a global function with example usage: render_math(math) and returns: generated_path,  depth, generated_path,  depth, None,  None, None,  None, None,  None