prompt: You will be provided with a partial code base and an issue statement explaining a problem to resolve.
  <issue>
  Schema getter should return public, but not mathesar_types
  **Describe the bug**
  <!-- A clear and concise description of what the bug is. -->
  
  If a user wants to create a table the `public` schema, they can't currently, because the logic in the `db.schemas.get_all_schemas` function ignores it.  This means when they try, an error is thrown.  This is especially a problem when they've imported a DB, since most tables are in the `public` schema in most installations of PostgreSQL in the wild.
  
  **Expected behavior**
  <!-- A clear and concise description of what you expected to happen. -->
  The public schema should be available for holding mathesar tables.
  
  **To Reproduce**
  Please try to provide a [Minimal, Complete, and Verifiable](http://stackoverflow.com/help/mcve) example.
  
  Start the webapp using the README.  Try to upload a CSV to the `public` schema.  See the error.
  
  **Have a nice day!**
  
  
  </issue>
  <code>
  [start of db/schemas.py]
  1 from sqlalchemy.schema import CreateSchema
  2 from sqlalchemy import inspect
  3 
  4 
  5 def get_all_schemas(engine):
  6     inspector = inspect(engine)
  7     return [
  8         schema
  9         for schema in inspector.get_schema_names()
  10         if schema not in ["public", "information_schema"]
  11     ]
  12 
  13 
  14 def schema_exists(schema, engine):
  15     return schema in get_all_schemas(engine)
  16 
  17 
  18 def create_schema(schema, engine):
  19     """
  20     This method creates a Postgres schema.
  21     """
  22     if not schema_exists(schema, engine):
  23         with engine.begin() as connection:
  24             connection.execute(CreateSchema(schema))
  25
  [end of db/schemas.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/db/schemas.py b/db/schemas.py
  --- a/db/schemas.py
  +++ b/db/schemas.py
  @@ -1,24 +1,28 @@
   from sqlalchemy.schema import CreateSchema
   from sqlalchemy import inspect
   
  +from db import types
   
  -def get_all_schemas(engine):
  -    inspector = inspect(engine)
  +TYPES_SCHEMA = types.base.SCHEMA
  +
  +
  +def get_mathesar_schemas(engine):
       return [
           schema
  -        for schema in inspector.get_schema_names()
  -        if schema not in ["public", "information_schema"]
  +        for schema in get_all_schemas(engine)
  +        if schema not in [TYPES_SCHEMA, "information_schema"]
       ]
   
   
  -def schema_exists(schema, engine):
  -    return schema in get_all_schemas(engine)
  +def get_all_schemas(engine):
  +    inspector = inspect(engine)
  +    return inspector.get_schema_names()
   
   
   def create_schema(schema, engine):
       """
       This method creates a Postgres schema.
       """
  -    if not schema_exists(schema, engine):
  +    if schema not in get_all_schemas(engine):
           with engine.begin() as connection:
               connection.execute(CreateSchema(schema))
  
verification_info: {"golden_diff": "diff --git a/db/schemas.py b/db/schemas.py\n--- a/db/schemas.py\n+++ b/db/schemas.py\n@@ -1,24 +1,28 @@\n from sqlalchemy.schema import CreateSchema\n from sqlalchemy import inspect\n \n+from db import types\n \n-def get_all_schemas(engine):\n-    inspector = inspect(engine)\n+TYPES_SCHEMA = types.base.SCHEMA\n+\n+\n+def get_mathesar_schemas(engine):\n     return [\n         schema\n-        for schema in inspector.get_schema_names()\n-        if schema not in [\"public\", \"information_schema\"]\n+        for schema in get_all_schemas(engine)\n+        if schema not in [TYPES_SCHEMA, \"information_schema\"]\n     ]\n \n \n-def schema_exists(schema, engine):\n-    return schema in get_all_schemas(engine)\n+def get_all_schemas(engine):\n+    inspector = inspect(engine)\n+    return inspector.get_schema_names()\n \n \n def create_schema(schema, engine):\n     \"\"\"\n     This method creates a Postgres schema.\n     \"\"\"\n-    if not schema_exists(schema, engine):\n+    if schema not in get_all_schemas(engine):\n         with engine.begin() as connection:\n             connection.execute(CreateSchema(schema))\n", "issue": "Schema getter should return public, but not mathesar_types\n**Describe the bug**\r\n<!-- A clear and concise description of what the bug is. -->\r\n\r\nIf a user wants to create a table the `public` schema, they can't currently, because the logic in the `db.schemas.get_all_schemas` function ignores it.  This means when they try, an error is thrown.  This is especially a problem when they've imported a DB, since most tables are in the `public` schema in most installations of PostgreSQL in the wild.\r\n\r\n**Expected behavior**\r\n<!-- A clear and concise description of what you expected to happen. -->\r\nThe public schema should be available for holding mathesar tables.\r\n\r\n**To Reproduce**\r\nPlease try to provide a [Minimal, Complete, and Verifiable](http://stackoverflow.com/help/mcve) example.\r\n\r\nStart the webapp using the README.  Try to upload a CSV to the `public` schema.  See the error.\r\n\r\n**Have a nice day!**\r\n\n", "before_files": [{"content": "from sqlalchemy.schema import CreateSchema\nfrom sqlalchemy import inspect\n\n\ndef get_all_schemas(engine):\n    inspector = inspect(engine)\n    return [\n        schema\n        for schema in inspector.get_schema_names()\n        if schema not in [\"public\", \"information_schema\"]\n    ]\n\n\ndef schema_exists(schema, engine):\n    return schema in get_all_schemas(engine)\n\n\ndef create_schema(schema, engine):\n    \"\"\"\n    This method creates a Postgres schema.\n    \"\"\"\n    if not schema_exists(schema, engine):\n        with engine.begin() as connection:\n            connection.execute(CreateSchema(schema))\n", "path": "db/schemas.py"}]}