prompt: You will be provided with a partial code base and an issue statement explaining a problem to resolve.
  <issue>
  Should we remove/replace Bio.Alphabet?
  Filing this meta-issue, since we don't seem to have a single place discussing this on GitHub.
  
  **My (likely biased) summary from those discussions is no one likes the current alphabet system, and most people ignore it.**
  
  Biopython has a complicated hard to use legacy alphabet system in ``Bio.Alphabet`` which is used as a typing system (e.g. can't do reverse-complement on a protein), can store some useful information like the expected letters, if gapped and the gap character (although only one), and a stop codon symbol (although only one).
  
  The objects in ``Bio.Alphabet`` cover three-letter alphabets as well as the more commonly used one-letter alphabets, although the ``Seq`` object effectively assumes the later only. Three-letter alphabets can be used with the array-based ``MutableSeq`` object, but it is very fragile and many things break - thus #1681.
  
  Note we do not (currently) validate the expected letters when making a sequence object with an alphabet with an explicit set of expected letters -  #1040.
  
  Discussion on #1674 (hiding alphabets) has meant we now hide the alphabet in the ``Seq`` object representation if it is the default alphabet. Discussion there, and on #1681, and on the mailing list suggests going further and *removing* ``Bio.Alphabet`` entirely.
  
  Note that removal is not as simple as it might sound - it will require some delicate modifications, for example several of the parsers in ``Bio.SeqIO`` use the alphabet to store the sequence type (important metadata in more than one file format).
  
  I personally do like the typing system aspect of the alphabet system, but think we only need a much simpler DNA/RNA/nucleotide/protein/other system (more like an enum). I started looking at that on this branch which aimed to break as little existing code as possible: https://github.com/peterjc/biopython/tree/alpha_lite
  
  
  </issue>
  <code>
  [start of Bio/Alphabet/__init__.py]
  1 # Copyright 2000-2002 by Andrew Dalke.
  2 # Revisions copyright 2007-2010 by Peter Cock.
  3 # All rights reserved.
  4 #
  5 # This file is part of the Biopython distribution and governed by your
  6 # choice of the "Biopython License Agreement" or the "BSD 3-Clause License".
  7 # Please see the LICENSE file that should have been included as part of this
  8 # package.
  9 """Alphabets were previously used to declare sequence type and letters (OBSOLETE).
  10 
  11 The design of Bio.Aphabet included a number of historic design choices
  12 which, with the benefit of hindsight, were regretable. Bio.Alphabet was
  13 therefore removed from Biopython in release 1.78. Instead, the molecule type is
  14 included as an annotation on SeqRecords where appropriate.
  15 
  16 Please see
  17 https://github.com/biopython/biopython/issues/3156
  18 for examples showing how to transition from Bio.Alphabet to molecule type
  19 annotations.
  20 """
  21 
  22 raise ImportError(
  23     "Bio.Alphabet has been removed from Biopython. In many cases, the alphabet can simply be ignored and removed from scripts. In a few cases, you may need to specify the ``molecule_type`` as an annotation on a SeqRecord for your script to work correctly. Please see https://github.com/biopython/biopython/issues/3156 for more information."
  24 )
  25
  [end of Bio/Alphabet/__init__.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/Bio/Alphabet/__init__.py b/Bio/Alphabet/__init__.py
  --- a/Bio/Alphabet/__init__.py
  +++ b/Bio/Alphabet/__init__.py
  @@ -13,12 +13,10 @@
   therefore removed from Biopython in release 1.78. Instead, the molecule type is
   included as an annotation on SeqRecords where appropriate.
   
  -Please see
  -https://github.com/biopython/biopython/issues/3156
  -for examples showing how to transition from Bio.Alphabet to molecule type
  -annotations.
  +Please see https://biopython.org/wiki/Alphabet for examples showing how to
  +transition from Bio.Alphabet to molecule type annotations.
   """
   
   raise ImportError(
  -    "Bio.Alphabet has been removed from Biopython. In many cases, the alphabet can simply be ignored and removed from scripts. In a few cases, you may need to specify the ``molecule_type`` as an annotation on a SeqRecord for your script to work correctly. Please see https://github.com/biopython/biopython/issues/3156 for more information."
  +    "Bio.Alphabet has been removed from Biopython. In many cases, the alphabet can simply be ignored and removed from scripts. In a few cases, you may need to specify the ``molecule_type`` as an annotation on a SeqRecord for your script to work correctly. Please see https://biopython.org/wiki/Alphabet for more information."
   )
  
verification_info: {"golden_diff": "diff --git a/Bio/Alphabet/__init__.py b/Bio/Alphabet/__init__.py\n--- a/Bio/Alphabet/__init__.py\n+++ b/Bio/Alphabet/__init__.py\n@@ -13,12 +13,10 @@\n therefore removed from Biopython in release 1.78. Instead, the molecule type is\n included as an annotation on SeqRecords where appropriate.\n \n-Please see\n-https://github.com/biopython/biopython/issues/3156\n-for examples showing how to transition from Bio.Alphabet to molecule type\n-annotations.\n+Please see https://biopython.org/wiki/Alphabet for examples showing how to\n+transition from Bio.Alphabet to molecule type annotations.\n \"\"\"\n \n raise ImportError(\n-    \"Bio.Alphabet has been removed from Biopython. In many cases, the alphabet can simply be ignored and removed from scripts. In a few cases, you may need to specify the ``molecule_type`` as an annotation on a SeqRecord for your script to work correctly. Please see https://github.com/biopython/biopython/issues/3156 for more information.\"\n+    \"Bio.Alphabet has been removed from Biopython. In many cases, the alphabet can simply be ignored and removed from scripts. In a few cases, you may need to specify the ``molecule_type`` as an annotation on a SeqRecord for your script to work correctly. Please see https://biopython.org/wiki/Alphabet for more information.\"\n )\n", "issue": "Should we remove/replace Bio.Alphabet?\nFiling this meta-issue, since we don't seem to have a single place discussing this on GitHub.\r\n\r\n**My (likely biased) summary from those discussions is no one likes the current alphabet system, and most people ignore it.**\r\n\r\nBiopython has a complicated hard to use legacy alphabet system in ``Bio.Alphabet`` which is used as a typing system (e.g. can't do reverse-complement on a protein), can store some useful information like the expected letters, if gapped and the gap character (although only one), and a stop codon symbol (although only one).\r\n\r\nThe objects in ``Bio.Alphabet`` cover three-letter alphabets as well as the more commonly used one-letter alphabets, although the ``Seq`` object effectively assumes the later only. Three-letter alphabets can be used with the array-based ``MutableSeq`` object, but it is very fragile and many things break - thus #1681.\r\n\r\nNote we do not (currently) validate the expected letters when making a sequence object with an alphabet with an explicit set of expected letters -  #1040.\r\n\r\nDiscussion on #1674 (hiding alphabets) has meant we now hide the alphabet in the ``Seq`` object representation if it is the default alphabet. Discussion there, and on #1681, and on the mailing list suggests going further and *removing* ``Bio.Alphabet`` entirely.\r\n\r\nNote that removal is not as simple as it might sound - it will require some delicate modifications, for example several of the parsers in ``Bio.SeqIO`` use the alphabet to store the sequence type (important metadata in more than one file format).\r\n\r\nI personally do like the typing system aspect of the alphabet system, but think we only need a much simpler DNA/RNA/nucleotide/protein/other system (more like an enum). I started looking at that on this branch which aimed to break as little existing code as possible: https://github.com/peterjc/biopython/tree/alpha_lite\r\n\n", "before_files": [{"content": "# Copyright 2000-2002 by Andrew Dalke.\n# Revisions copyright 2007-2010 by Peter Cock.\n# All rights reserved.\n#\n# This file is part of the Biopython distribution and governed by your\n# choice of the \"Biopython License Agreement\" or the \"BSD 3-Clause License\".\n# Please see the LICENSE file that should have been included as part of this\n# package.\n\"\"\"Alphabets were previously used to declare sequence type and letters (OBSOLETE).\n\nThe design of Bio.Aphabet included a number of historic design choices\nwhich, with the benefit of hindsight, were regretable. Bio.Alphabet was\ntherefore removed from Biopython in release 1.78. Instead, the molecule type is\nincluded as an annotation on SeqRecords where appropriate.\n\nPlease see\nhttps://github.com/biopython/biopython/issues/3156\nfor examples showing how to transition from Bio.Alphabet to molecule type\nannotations.\n\"\"\"\n\nraise ImportError(\n    \"Bio.Alphabet has been removed from Biopython. In many cases, the alphabet can simply be ignored and removed from scripts. In a few cases, you may need to specify the ``molecule_type`` as an annotation on a SeqRecord for your script to work correctly. Please see https://github.com/biopython/biopython/issues/3156 for more information.\"\n)\n", "path": "Bio/Alphabet/__init__.py"}]}