code: def _make_concrete_cases(f64):
      dtype = np.float64 if f64 else np.float32
      example_names = list(_concrete_generators(dtype))
      cases = []
      for name in example_names:
          n, k, m, tol = 100, 10, 20, None
          if name == "ring laplacian":
              m *= 3
          if name.startswith("linear"):
              m *= 2
          if f64:
              m *= 2
          if name.startswith("cluster") and not f64:
              tol = 2e-6
          clean_matrix_name = _clean_matrix_name(name)
          case = {
              "matrix_name": name,
              "n": n,
              "k": k,
              "m": m,
              "tol": tol,
              "testcase_name": f"{clean_matrix_name}_n{n}",
          }
          cases.append(case)
  
      assert len({c["testcase_name"] for c in cases}) == len(cases)
      return cases
  
imports: import functools
  import re
  import os
  import unittest
  from absl.testing import absltest
  from absl.testing import parameterized
  import numpy
  import scipy.linalg
  import scipy.sparse
  import jax
  from jax import config
  from jax._src import test_util
  from jax.experimental.sparse import linalg, bcoo
  import jax.numpy
label_desc: Use image node_id 2 for calling a global function with example usage: _make_concrete_cases(f64) and returns: cases