prompt: You will be provided with a partial code base and an issue statement explaining a problem to resolve.
  <issue>
  Validate lower bounds of dependencies in CI
  # Description
  
  To ensure that the lower bound of all dependencies are still sufficient for the API used, add a test that installs from a `lower-bound-requirements.txt` that might look something like
  
  ```
  # core
  scipy==1.4.0
  click==7.0.0
  tqdm==4.56.0
  jsonschema==3.2.0
  jsonpatch==1.23.0
  pyyaml==5.1.0
  # xmlio
  uproot3==3.14.0
  uproot==4.0.0
  # minuit
  iminuit==2.1.0
  # ...
  ```
  
  and then run the test suite.
  
  </issue>
  <code>
  [start of setup.py]
  1 from setuptools import setup
  2 
  3 extras_require = {
  4     'shellcomplete': ['click_completion'],
  5     'tensorflow': [
  6         'tensorflow~=2.2.0',  # TensorFlow minor releases are as volatile as major
  7         'tensorflow-probability~=0.10.0',
  8     ],
  9     'torch': ['torch~=1.8'],
  10     'jax': ['jax~=0.2.4', 'jaxlib~=0.1.56'],
  11     'xmlio': [
  12         'uproot3~=3.14',
  13         'uproot~=4.0',
  14     ],  # uproot3 required until writing to ROOT supported in uproot4
  15     'minuit': ['iminuit~=2.1,<2.4'],  # iminuit v2.4.0 behavior needs to be understood
  16 }
  17 extras_require['backends'] = sorted(
  18     set(
  19         extras_require['tensorflow']
  20         + extras_require['torch']
  21         + extras_require['jax']
  22         + extras_require['minuit']
  23     )
  24 )
  25 extras_require['contrib'] = sorted({'matplotlib', 'requests'})
  26 extras_require['lint'] = sorted({'flake8', 'black'})
  27 
  28 extras_require['test'] = sorted(
  29     set(
  30         extras_require['backends']
  31         + extras_require['xmlio']
  32         + extras_require['contrib']
  33         + extras_require['shellcomplete']
  34         + [
  35             'pytest~=6.0',
  36             'pytest-cov>=2.5.1',
  37             'pytest-mock',
  38             'pytest-benchmark[histogram]',
  39             'pytest-console-scripts',
  40             'pytest-mpl',
  41             'pydocstyle',
  42             'papermill~=2.0',
  43             'nteract-scrapbook~=0.2',
  44             'jupyter',
  45             'graphviz',
  46         ]
  47     )
  48 )
  49 extras_require['docs'] = sorted(
  50     set(
  51         extras_require['xmlio']
  52         + [
  53             'sphinx>=3.1.2',
  54             'sphinxcontrib-bibtex~=2.1',
  55             'sphinx-click',
  56             'sphinx_rtd_theme',
  57             'nbsphinx',
  58             'ipywidgets',
  59             'sphinx-issues',
  60             'sphinx-copybutton>0.2.9',
  61         ]
  62     )
  63 )
  64 extras_require['develop'] = sorted(
  65     set(
  66         extras_require['docs']
  67         + extras_require['lint']
  68         + extras_require['test']
  69         + [
  70             'nbdime',
  71             'bump2version',
  72             'ipython',
  73             'pre-commit',
  74             'check-manifest',
  75             'codemetapy>=0.3.4',
  76             'twine',
  77         ]
  78     )
  79 )
  80 extras_require['complete'] = sorted(set(sum(extras_require.values(), [])))
  81 
  82 
  83 setup(
  84     extras_require=extras_require,
  85     use_scm_version=lambda: {'local_scheme': lambda version: ''},
  86 )
  87
  [end of setup.py]
  </code>
  
  I need you to solve this issue by generating a single patch file that I can apply directly to this repository using git apply. Please respond with a single patch file in the following format.
  <patch>
  diff --git a/file.py b/file.py
  --- a/file.py
  +++ b/file.py
  @@ -1,27 +1,35 @@
   def euclidean(a, b):
  -    while b:
  -        a, b = b, a % b
  -    return a
  +    if b == 0:
  +        return a
  +    return euclidean(b, a % b)
   
   
   def bresenham(x0, y0, x1, y1):
       points = []
       dx = abs(x1 - x0)
       dy = abs(y1 - y0)
  -    sx = 1 if x0 < x1 else -1
  -    sy = 1 if y0 < y1 else -1
  -    err = dx - dy
  +    x, y = x0, y0
  +    sx = -1 if x0 > x1 else 1
  +    sy = -1 if y0 > y1 else 1
   
  -    while True:
  -        points.append((x0, y0))
  -        if x0 == x1 and y0 == y1:
  -            break
  -        e2 = 2 * err
  -        if e2 > -dy:
  -            err -= dy
  -            x0 += sx
  -        if e2 < dx:
  -            err += dx
  -            y0 += sy
  +    if dx > dy:
  +        err = dx / 2.0
  +        while x != x1:
  +            points.append((x, y))
  +            err -= dy
  +            if err < 0:
  +                y += sy
  +                err += dx
  +            x += sx
  +    else:
  +        err = dy / 2.0
  +        while y != y1:
  +            points.append((x, y))
  +            err -= dx
  +            if err < 0:
  +                x += sx
  +                err += dy
  +            y += sy
  +
  +    points.append((x, y))
       return points
  
  </patch>
golden_diff: diff --git a/setup.py b/setup.py
  --- a/setup.py
  +++ b/setup.py
  @@ -3,13 +3,13 @@
   extras_require = {
       'shellcomplete': ['click_completion'],
       'tensorflow': [
  -        'tensorflow~=2.2.0',  # TensorFlow minor releases are as volatile as major
  -        'tensorflow-probability~=0.10.0',
  +        'tensorflow~=2.2.1',  # TensorFlow minor releases are as volatile as major
  +        'tensorflow-probability~=0.10.1',
       ],
       'torch': ['torch~=1.8'],
  -    'jax': ['jax~=0.2.4', 'jaxlib~=0.1.56'],
  +    'jax': ['jax~=0.2.8', 'jaxlib~=0.1.58'],
       'xmlio': [
  -        'uproot3~=3.14',
  +        'uproot3>=3.14.1',
           'uproot~=4.0',
       ],  # uproot3 required until writing to ROOT supported in uproot4
       'minuit': ['iminuit~=2.1,<2.4'],  # iminuit v2.4.0 behavior needs to be understood
  
verification_info: {"golden_diff": "diff --git a/setup.py b/setup.py\n--- a/setup.py\n+++ b/setup.py\n@@ -3,13 +3,13 @@\n extras_require = {\n     'shellcomplete': ['click_completion'],\n     'tensorflow': [\n-        'tensorflow~=2.2.0',  # TensorFlow minor releases are as volatile as major\n-        'tensorflow-probability~=0.10.0',\n+        'tensorflow~=2.2.1',  # TensorFlow minor releases are as volatile as major\n+        'tensorflow-probability~=0.10.1',\n     ],\n     'torch': ['torch~=1.8'],\n-    'jax': ['jax~=0.2.4', 'jaxlib~=0.1.56'],\n+    'jax': ['jax~=0.2.8', 'jaxlib~=0.1.58'],\n     'xmlio': [\n-        'uproot3~=3.14',\n+        'uproot3>=3.14.1',\n         'uproot~=4.0',\n     ],  # uproot3 required until writing to ROOT supported in uproot4\n     'minuit': ['iminuit~=2.1,<2.4'],  # iminuit v2.4.0 behavior needs to be understood\n", "issue": "Validate lower bounds of dependencies in CI\n# Description\r\n\r\nTo ensure that the lower bound of all dependencies are still sufficient for the API used, add a test that installs from a `lower-bound-requirements.txt` that might look something like\r\n\r\n```\r\n# core\r\nscipy==1.4.0\r\nclick==7.0.0\r\ntqdm==4.56.0\r\njsonschema==3.2.0\r\njsonpatch==1.23.0\r\npyyaml==5.1.0\r\n# xmlio\r\nuproot3==3.14.0\r\nuproot==4.0.0\r\n# minuit\r\niminuit==2.1.0\r\n# ...\r\n```\r\n\r\nand then run the test suite.\n", "before_files": [{"content": "from setuptools import setup\n\nextras_require = {\n    'shellcomplete': ['click_completion'],\n    'tensorflow': [\n        'tensorflow~=2.2.0',  # TensorFlow minor releases are as volatile as major\n        'tensorflow-probability~=0.10.0',\n    ],\n    'torch': ['torch~=1.8'],\n    'jax': ['jax~=0.2.4', 'jaxlib~=0.1.56'],\n    'xmlio': [\n        'uproot3~=3.14',\n        'uproot~=4.0',\n    ],  # uproot3 required until writing to ROOT supported in uproot4\n    'minuit': ['iminuit~=2.1,<2.4'],  # iminuit v2.4.0 behavior needs to be understood\n}\nextras_require['backends'] = sorted(\n    set(\n        extras_require['tensorflow']\n        + extras_require['torch']\n        + extras_require['jax']\n        + extras_require['minuit']\n    )\n)\nextras_require['contrib'] = sorted({'matplotlib', 'requests'})\nextras_require['lint'] = sorted({'flake8', 'black'})\n\nextras_require['test'] = sorted(\n    set(\n        extras_require['backends']\n        + extras_require['xmlio']\n        + extras_require['contrib']\n        + extras_require['shellcomplete']\n        + [\n            'pytest~=6.0',\n            'pytest-cov>=2.5.1',\n            'pytest-mock',\n            'pytest-benchmark[histogram]',\n            'pytest-console-scripts',\n            'pytest-mpl',\n            'pydocstyle',\n            'papermill~=2.0',\n            'nteract-scrapbook~=0.2',\n            'jupyter',\n            'graphviz',\n        ]\n    )\n)\nextras_require['docs'] = sorted(\n    set(\n        extras_require['xmlio']\n        + [\n            'sphinx>=3.1.2',\n            'sphinxcontrib-bibtex~=2.1',\n            'sphinx-click',\n            'sphinx_rtd_theme',\n            'nbsphinx',\n            'ipywidgets',\n            'sphinx-issues',\n            'sphinx-copybutton>0.2.9',\n        ]\n    )\n)\nextras_require['develop'] = sorted(\n    set(\n        extras_require['docs']\n        + extras_require['lint']\n        + extras_require['test']\n        + [\n            'nbdime',\n            'bump2version',\n            'ipython',\n            'pre-commit',\n            'check-manifest',\n            'codemetapy>=0.3.4',\n            'twine',\n        ]\n    )\n)\nextras_require['complete'] = sorted(set(sum(extras_require.values(), [])))\n\n\nsetup(\n    extras_require=extras_require,\n    use_scm_version=lambda: {'local_scheme': lambda version: ''},\n)\n", "path": "setup.py"}]}