prompt: You will be provided with a partial code base and an issue statement explaining a problem to resolve.
  <issue>
  may be 'accessible'?
  in the function [request_fingerprint](https://github.com/scrapy/scrapy/blob/master/scrapy/utils/request.py) ，‘accesible’ may be ‘accessible’ in comments. OCD  XD..
  
  
  </issue>
  <code>
  [start of scrapy/utils/request.py]
  1 """
  2 This module provides some useful functions for working with
  3 scrapy.http.Request objects
  4 """
  5 
  6 from __future__ import print_function
  7 import hashlib
  8 import weakref
  9 from six.moves.urllib.parse import urlunparse
  10 
  11 from w3lib.http import basic_auth_header
  12 from scrapy.utils.python import to_bytes, to_native_str
  13 
  14 from w3lib.url import canonicalize_url
  15 from scrapy.utils.httpobj import urlparse_cached
  16 
  17 
  18 _fingerprint_cache = weakref.WeakKeyDictionary()
  19 def request_fingerprint(request, include_headers=None):
  20     """
  21     Return the request fingerprint.
  22 
  23     The request fingerprint is a hash that uniquely identifies the resource the
  24     request points to. For example, take the following two urls:
  25 
  26     http://www.example.com/query?id=111&cat=222
  27     http://www.example.com/query?cat=222&id=111
  28 
  29     Even though those are two different URLs both point to the same resource
  30     and are equivalent (ie. they should return the same response).
  31 
  32     Another example are cookies used to store session ids. Suppose the
  33     following page is only accesible to authenticated users:
  34 
  35     http://www.example.com/members/offers.html
  36 
  37     Lot of sites use a cookie to store the session id, which adds a random
  38     component to the HTTP Request and thus should be ignored when calculating
  39     the fingerprint.
  40 
  41     For this reason, request headers are ignored by default when calculating
  42     the fingeprint. If you want to include specific headers use the
  43     include_headers argument, which is a list of Request headers to include.
  44 
  45     """
  46     if include_headers:
  47         include_headers = tuple(to_bytes(h.lower())
  48                                  for h in sorted(include_headers))
  49     cache = _fingerprint_cache.setdefault(request, {})
  50     if include_headers not in cache:
  51         fp = hashlib.sha1()
  52         fp.update(to_bytes(request.method))
  53         fp.update(to_bytes(canonicalize_url(request.url)))
  54         fp.update(request.body or b'')
  55         if include_headers:
  56             for hdr in include_headers:
  57                 if hdr in request.headers:
  58                     fp.update(hdr)
  59                     for v in request.headers.getlist(hdr):
  60                         fp.update(v)
  61         cache[include_headers] = fp.hexdigest()
  62     return cache[include_headers]
  63 
  64 
  65 def request_authenticate(request, username, password):
  66     """Autenticate the given request (in place) using the HTTP basic access
  67     authentication mechanism (RFC 2617) and the given username and password
  68     """
  69     request.headers['Authorization'] = basic_auth_header(username, password)
  70 
  71 
  72 def request_httprepr(request):
  73     """Return the raw HTTP representation (as bytes) of the given request.
  74     This is provided only for reference since it's not the actual stream of
  75     bytes that will be send when performing the request (that's controlled
  76     by Twisted).
  77     """
  78     parsed = urlparse_cached(request)
  79     path = urlunparse(('', '', parsed.path or '/', parsed.params, parsed.query, ''))
  80     s = to_bytes(request.method) + b" " + to_bytes(path) + b" HTTP/1.1\r\n"
  81     s += b"Host: " + to_bytes(parsed.hostname or b'') + b"\r\n"
  82     if request.headers:
  83         s += request.headers.to_string() + b"\r\n"
  84     s += b"\r\n"
  85     s += request.body
  86     return s
  87 
  88 
  89 def referer_str(request):
  90     """ Return Referer HTTP header suitable for logging. """
  91     referrer = request.headers.get('Referer')
  92     if referrer is None:
  93         return referrer
  94     return to_native_str(referrer, errors='replace')
  95
  [end of scrapy/utils/request.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/scrapy/utils/request.py b/scrapy/utils/request.py
  --- a/scrapy/utils/request.py
  +++ b/scrapy/utils/request.py
  @@ -30,7 +30,7 @@
       and are equivalent (ie. they should return the same response).
   
       Another example are cookies used to store session ids. Suppose the
  -    following page is only accesible to authenticated users:
  +    following page is only accessible to authenticated users:
   
       http://www.example.com/members/offers.html
  
verification_info: {"golden_diff": "diff --git a/scrapy/utils/request.py b/scrapy/utils/request.py\n--- a/scrapy/utils/request.py\n+++ b/scrapy/utils/request.py\n@@ -30,7 +30,7 @@\n     and are equivalent (ie. they should return the same response).\n \n     Another example are cookies used to store session ids. Suppose the\n-    following page is only accesible to authenticated users:\n+    following page is only accessible to authenticated users:\n \n     http://www.example.com/members/offers.html\n", "issue": "may be 'accessible'?\nin the function [request_fingerprint](https://github.com/scrapy/scrapy/blob/master/scrapy/utils/request.py) \uff0c\u2018accesible\u2019 may be \u2018accessible\u2019 in comments. OCD  XD..\r\n\n", "before_files": [{"content": "\"\"\"\nThis module provides some useful functions for working with\nscrapy.http.Request objects\n\"\"\"\n\nfrom __future__ import print_function\nimport hashlib\nimport weakref\nfrom six.moves.urllib.parse import urlunparse\n\nfrom w3lib.http import basic_auth_header\nfrom scrapy.utils.python import to_bytes, to_native_str\n\nfrom w3lib.url import canonicalize_url\nfrom scrapy.utils.httpobj import urlparse_cached\n\n\n_fingerprint_cache = weakref.WeakKeyDictionary()\ndef request_fingerprint(request, include_headers=None):\n    \"\"\"\n    Return the request fingerprint.\n\n    The request fingerprint is a hash that uniquely identifies the resource the\n    request points to. For example, take the following two urls:\n\n    http://www.example.com/query?id=111&cat=222\n    http://www.example.com/query?cat=222&id=111\n\n    Even though those are two different URLs both point to the same resource\n    and are equivalent (ie. they should return the same response).\n\n    Another example are cookies used to store session ids. Suppose the\n    following page is only accesible to authenticated users:\n\n    http://www.example.com/members/offers.html\n\n    Lot of sites use a cookie to store the session id, which adds a random\n    component to the HTTP Request and thus should be ignored when calculating\n    the fingerprint.\n\n    For this reason, request headers are ignored by default when calculating\n    the fingeprint. If you want to include specific headers use the\n    include_headers argument, which is a list of Request headers to include.\n\n    \"\"\"\n    if include_headers:\n        include_headers = tuple(to_bytes(h.lower())\n                                 for h in sorted(include_headers))\n    cache = _fingerprint_cache.setdefault(request, {})\n    if include_headers not in cache:\n        fp = hashlib.sha1()\n        fp.update(to_bytes(request.method))\n        fp.update(to_bytes(canonicalize_url(request.url)))\n        fp.update(request.body or b'')\n        if include_headers:\n            for hdr in include_headers:\n                if hdr in request.headers:\n                    fp.update(hdr)\n                    for v in request.headers.getlist(hdr):\n                        fp.update(v)\n        cache[include_headers] = fp.hexdigest()\n    return cache[include_headers]\n\n\ndef request_authenticate(request, username, password):\n    \"\"\"Autenticate the given request (in place) using the HTTP basic access\n    authentication mechanism (RFC 2617) and the given username and password\n    \"\"\"\n    request.headers['Authorization'] = basic_auth_header(username, password)\n\n\ndef request_httprepr(request):\n    \"\"\"Return the raw HTTP representation (as bytes) of the given request.\n    This is provided only for reference since it's not the actual stream of\n    bytes that will be send when performing the request (that's controlled\n    by Twisted).\n    \"\"\"\n    parsed = urlparse_cached(request)\n    path = urlunparse(('', '', parsed.path or '/', parsed.params, parsed.query, ''))\n    s = to_bytes(request.method) + b\" \" + to_bytes(path) + b\" HTTP/1.1\\r\\n\"\n    s += b\"Host: \" + to_bytes(parsed.hostname or b'') + b\"\\r\\n\"\n    if request.headers:\n        s += request.headers.to_string() + b\"\\r\\n\"\n    s += b\"\\r\\n\"\n    s += request.body\n    return s\n\n\ndef referer_str(request):\n    \"\"\" Return Referer HTTP header suitable for logging. \"\"\"\n    referrer = request.headers.get('Referer')\n    if referrer is None:\n        return referrer\n    return to_native_str(referrer, errors='replace')\n", "path": "scrapy/utils/request.py"}]}