prompt: You will be provided with a partial code base and an issue statement explaining a problem to resolve.
  <issue>
  need to have fields of chant and sequence models synced 
  or else, it'll lead to errors, such as not being able to retrieve chants from /chant-search
  please fix
  
  </issue>
  <code>
  [start of django/cantusdb_project/main_app/models/sequence.py]
  1 from django.contrib.postgres.search import SearchVectorField
  2 from django.db import models
  3 from main_app.models import BaseModel
  4 from users.models import User
  5 
  6 
  7 class Sequence(BaseModel):
  8     visible_status = models.CharField(max_length=1, blank=True, null=True)
  9     title = models.CharField(blank=True, null=True, max_length=255)
  10     incipit = models.CharField(blank=True, null=True, max_length=255)
  11     siglum = models.CharField(blank=True, null=True, max_length=255)
  12     folio = models.CharField(blank=True, null=True, max_length=255)
  13     sequence = models.CharField(blank=True, null=True, max_length=255)
  14     genre = models.ForeignKey("Genre", blank=True, null=True, on_delete=models.PROTECT)
  15     rubrics = models.CharField(blank=True, null=True, max_length=255)
  16     analecta_hymnica = models.CharField(blank=True, null=True, max_length=255)
  17     indexing_notes = models.TextField(blank=True, null=True)
  18     date = models.CharField(blank=True, null=True, max_length=255)
  19     col1 = models.CharField(blank=True, null=True, max_length=255)
  20     col2 = models.CharField(blank=True, null=True, max_length=255)
  21     col3 = models.CharField(blank=True, null=True, max_length=255)
  22     ah_volume = models.CharField(blank=True, null=True, max_length=255)
  23     source = models.ForeignKey(
  24         "Source", on_delete=models.PROTECT, blank=True, null=True
  25     )
  26     cantus_id = models.CharField(blank=True, null=True, max_length=255)
  27     image_link = models.URLField(blank=True, null=True)
  28     json_info = models.JSONField(null=True, blank=True)
  29 
  30     # The following fields (dummy fields) are just for harmonizing the chant and sequence models to have the same fields
  31     # They should never be populated or displayed
  32     # The order of the fields must be exactly the same between the seq and chant models
  33     marginalia = models.CharField(max_length=63, null=True, blank=True)
  34     sequence_number = models.PositiveIntegerField(
  35         help_text='Each folio starts with "1"', null=True, blank=True
  36     )
  37     office = models.ForeignKey(
  38         "Office", on_delete=models.PROTECT, null=True, blank=True
  39     )
  40     position = models.CharField(max_length=63, null=True, blank=True)
  41     feast = models.ForeignKey("Feast", on_delete=models.PROTECT, null=True, blank=True)
  42     mode = models.CharField(max_length=63, null=True, blank=True)
  43     differentia = models.CharField(blank=True, null=True, max_length=63)
  44     finalis = models.CharField(blank=True, null=True, max_length=63)
  45     extra = models.CharField(blank=True, null=True, max_length=63)
  46     chant_range = models.CharField(
  47         blank=True,
  48         null=True,
  49         help_text='Example: "1-c-k-4". Optional field',
  50         max_length=255,
  51     )
  52     addendum = models.CharField(blank=True, null=True, max_length=255)
  53     manuscript_full_text_std_spelling = models.TextField(
  54         help_text="Manuscript full text with standardized spelling. Enter the words "
  55         "according to the manuscript but normalize their spellings following "
  56         "Classical Latin forms. Use upper-case letters for proper nouns, "
  57         'the first word of each chant, and the first word after "Alleluia" for '
  58         "Mass Alleluias. Punctuation is omitted.",
  59         null=True,
  60         blank=True,
  61     )
  62     manuscript_full_text_std_proofread = models.BooleanField(blank=True, null=True)
  63     manuscript_full_text = models.TextField(
  64         help_text="Enter the wording, word order and spellings as found in the manuscript"
  65         ", with abbreviations resolved to standard words. Use upper-case letters as found"
  66         " in the source. Retain “Xpistum” (Christum), “Ihc” (Jesus) and other instances of "
  67         "Greek characters with their closest approximations of Latin letters. Some punctuation"
  68         " signs and vertical dividing lines | are employed in this field. Repetenda and psalm "
  69         "cues can also be recorded here. For more information, contact Cantus Database staff.",
  70         null=True,
  71         blank=True,
  72     )
  73     manuscript_full_text_proofread = models.BooleanField(blank=True, null=True)
  74     manuscript_syllabized_full_text = models.TextField(null=True, blank=True)
  75     volpiano = models.TextField(null=True, blank=True)
  76     volpiano_proofread = models.BooleanField(blank=True, null=True)
  77     volpiano_notes = models.TextField(null=True, blank=True)
  78     volpiano_intervals = models.TextField(null=True, blank=True)
  79     # volpiano_intervals = ArrayField(base_field=models.IntegerField(), null=True, blank=True)
  80     cao_concordances = models.CharField(blank=True, null=True, max_length=63)
  81     proofread_by = models.ForeignKey(
  82         User, on_delete=models.PROTECT, null=True, blank=True
  83     )
  84     melody_id = models.CharField(blank=True, null=True, max_length=63)
  85     search_vector = SearchVectorField(null=True, editable=False)
  86     content_structure = models.CharField(
  87         blank=True,
  88         null=True,
  89         max_length=64,
  90         help_text="Additional folio number field, if folio numbers appear on the leaves but are not in the 'binding order'.",
  91     )
  92
  [end of django/cantusdb_project/main_app/models/sequence.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/django/cantusdb_project/main_app/models/sequence.py b/django/cantusdb_project/main_app/models/sequence.py
  --- a/django/cantusdb_project/main_app/models/sequence.py
  +++ b/django/cantusdb_project/main_app/models/sequence.py
  @@ -41,6 +41,7 @@
       feast = models.ForeignKey("Feast", on_delete=models.PROTECT, null=True, blank=True)
       mode = models.CharField(max_length=63, null=True, blank=True)
       differentia = models.CharField(blank=True, null=True, max_length=63)
  +    differentia_id = models.CharField(blank=True, null=True, max_length=12)
       finalis = models.CharField(blank=True, null=True, max_length=63)
       extra = models.CharField(blank=True, null=True, max_length=63)
       chant_range = models.CharField(
  
verification_info: {"golden_diff": "diff --git a/django/cantusdb_project/main_app/models/sequence.py b/django/cantusdb_project/main_app/models/sequence.py\n--- a/django/cantusdb_project/main_app/models/sequence.py\n+++ b/django/cantusdb_project/main_app/models/sequence.py\n@@ -41,6 +41,7 @@\n     feast = models.ForeignKey(\"Feast\", on_delete=models.PROTECT, null=True, blank=True)\n     mode = models.CharField(max_length=63, null=True, blank=True)\n     differentia = models.CharField(blank=True, null=True, max_length=63)\n+    differentia_id = models.CharField(blank=True, null=True, max_length=12)\n     finalis = models.CharField(blank=True, null=True, max_length=63)\n     extra = models.CharField(blank=True, null=True, max_length=63)\n     chant_range = models.CharField(\n", "issue": "need to have fields of chant and sequence models synced \nor else, it'll lead to errors, such as not being able to retrieve chants from /chant-search\r\nplease fix\n", "before_files": [{"content": "from django.contrib.postgres.search import SearchVectorField\nfrom django.db import models\nfrom main_app.models import BaseModel\nfrom users.models import User\n\n\nclass Sequence(BaseModel):\n    visible_status = models.CharField(max_length=1, blank=True, null=True)\n    title = models.CharField(blank=True, null=True, max_length=255)\n    incipit = models.CharField(blank=True, null=True, max_length=255)\n    siglum = models.CharField(blank=True, null=True, max_length=255)\n    folio = models.CharField(blank=True, null=True, max_length=255)\n    sequence = models.CharField(blank=True, null=True, max_length=255)\n    genre = models.ForeignKey(\"Genre\", blank=True, null=True, on_delete=models.PROTECT)\n    rubrics = models.CharField(blank=True, null=True, max_length=255)\n    analecta_hymnica = models.CharField(blank=True, null=True, max_length=255)\n    indexing_notes = models.TextField(blank=True, null=True)\n    date = models.CharField(blank=True, null=True, max_length=255)\n    col1 = models.CharField(blank=True, null=True, max_length=255)\n    col2 = models.CharField(blank=True, null=True, max_length=255)\n    col3 = models.CharField(blank=True, null=True, max_length=255)\n    ah_volume = models.CharField(blank=True, null=True, max_length=255)\n    source = models.ForeignKey(\n        \"Source\", on_delete=models.PROTECT, blank=True, null=True\n    )\n    cantus_id = models.CharField(blank=True, null=True, max_length=255)\n    image_link = models.URLField(blank=True, null=True)\n    json_info = models.JSONField(null=True, blank=True)\n\n    # The following fields (dummy fields) are just for harmonizing the chant and sequence models to have the same fields\n    # They should never be populated or displayed\n    # The order of the fields must be exactly the same between the seq and chant models\n    marginalia = models.CharField(max_length=63, null=True, blank=True)\n    sequence_number = models.PositiveIntegerField(\n        help_text='Each folio starts with \"1\"', null=True, blank=True\n    )\n    office = models.ForeignKey(\n        \"Office\", on_delete=models.PROTECT, null=True, blank=True\n    )\n    position = models.CharField(max_length=63, null=True, blank=True)\n    feast = models.ForeignKey(\"Feast\", on_delete=models.PROTECT, null=True, blank=True)\n    mode = models.CharField(max_length=63, null=True, blank=True)\n    differentia = models.CharField(blank=True, null=True, max_length=63)\n    finalis = models.CharField(blank=True, null=True, max_length=63)\n    extra = models.CharField(blank=True, null=True, max_length=63)\n    chant_range = models.CharField(\n        blank=True,\n        null=True,\n        help_text='Example: \"1-c-k-4\". Optional field',\n        max_length=255,\n    )\n    addendum = models.CharField(blank=True, null=True, max_length=255)\n    manuscript_full_text_std_spelling = models.TextField(\n        help_text=\"Manuscript full text with standardized spelling. Enter the words \"\n        \"according to the manuscript but normalize their spellings following \"\n        \"Classical Latin forms. Use upper-case letters for proper nouns, \"\n        'the first word of each chant, and the first word after \"Alleluia\" for '\n        \"Mass Alleluias. Punctuation is omitted.\",\n        null=True,\n        blank=True,\n    )\n    manuscript_full_text_std_proofread = models.BooleanField(blank=True, null=True)\n    manuscript_full_text = models.TextField(\n        help_text=\"Enter the wording, word order and spellings as found in the manuscript\"\n        \", with abbreviations resolved to standard words. Use upper-case letters as found\"\n        \" in the source. Retain \u201cXpistum\u201d (Christum), \u201cIhc\u201d (Jesus) and other instances of \"\n        \"Greek characters with their closest approximations of Latin letters. Some punctuation\"\n        \" signs and vertical dividing lines | are employed in this field. Repetenda and psalm \"\n        \"cues can also be recorded here. For more information, contact Cantus Database staff.\",\n        null=True,\n        blank=True,\n    )\n    manuscript_full_text_proofread = models.BooleanField(blank=True, null=True)\n    manuscript_syllabized_full_text = models.TextField(null=True, blank=True)\n    volpiano = models.TextField(null=True, blank=True)\n    volpiano_proofread = models.BooleanField(blank=True, null=True)\n    volpiano_notes = models.TextField(null=True, blank=True)\n    volpiano_intervals = models.TextField(null=True, blank=True)\n    # volpiano_intervals = ArrayField(base_field=models.IntegerField(), null=True, blank=True)\n    cao_concordances = models.CharField(blank=True, null=True, max_length=63)\n    proofread_by = models.ForeignKey(\n        User, on_delete=models.PROTECT, null=True, blank=True\n    )\n    melody_id = models.CharField(blank=True, null=True, max_length=63)\n    search_vector = SearchVectorField(null=True, editable=False)\n    content_structure = models.CharField(\n        blank=True,\n        null=True,\n        max_length=64,\n        help_text=\"Additional folio number field, if folio numbers appear on the leaves but are not in the 'binding order'.\",\n    )\n", "path": "django/cantusdb_project/main_app/models/sequence.py"}]}