prompt: You will be provided with a partial code base and an issue statement explaining a problem to resolve.
  <issue>
  Rename `Transactions` back to `Operations`
  A few of us implementers have been talking about the naming of `Transactions` and believe it is best renamed back to `Operations` to lower confusion and potentially mistaking `Transactions` with transactions in the classical sense. The only thing that should be known as a `Transaction` is a `Transfer`.
  
  If not, it would be great to know what the reason behind the rename was.
  
  
  </issue>
  <code>
  [start of utils/phase0/state_transition.py]
  1 from . import spec
  2 
  3 
  4 from typing import (  # noqa: F401
  5     Any,
  6     Callable,
  7     List,
  8     NewType,
  9     Tuple,
  10 )
  11 
  12 from .spec import (
  13     BeaconState,
  14     BeaconBlock,
  15 )
  16 
  17 
  18 def expected_deposit_count(state: BeaconState) -> int:
  19     return min(
  20         spec.MAX_DEPOSITS,
  21         state.latest_eth1_data.deposit_count - state.deposit_index
  22     )
  23 
  24 
  25 def process_transaction_type(state: BeaconState,
  26                              transactions: List[Any],
  27                              max_transactions: int,
  28                              tx_fn: Callable[[BeaconState, Any], None]) -> None:
  29     assert len(transactions) <= max_transactions
  30     for transaction in transactions:
  31         tx_fn(state, transaction)
  32 
  33 
  34 def process_transactions(state: BeaconState, block: BeaconBlock) -> None:
  35     process_transaction_type(
  36         state,
  37         block.body.proposer_slashings,
  38         spec.MAX_PROPOSER_SLASHINGS,
  39         spec.process_proposer_slashing,
  40     )
  41 
  42     process_transaction_type(
  43         state,
  44         block.body.attester_slashings,
  45         spec.MAX_ATTESTER_SLASHINGS,
  46         spec.process_attester_slashing,
  47     )
  48 
  49     process_transaction_type(
  50         state,
  51         block.body.attestations,
  52         spec.MAX_ATTESTATIONS,
  53         spec.process_attestation,
  54     )
  55 
  56     assert len(block.body.deposits) == expected_deposit_count(state)
  57     process_transaction_type(
  58         state,
  59         block.body.deposits,
  60         spec.MAX_DEPOSITS,
  61         spec.process_deposit,
  62     )
  63 
  64     process_transaction_type(
  65         state,
  66         block.body.voluntary_exits,
  67         spec.MAX_VOLUNTARY_EXITS,
  68         spec.process_voluntary_exit,
  69     )
  70 
  71     assert len(block.body.transfers) == len(set(block.body.transfers))
  72     process_transaction_type(
  73         state,
  74         block.body.transfers,
  75         spec.MAX_TRANSFERS,
  76         spec.process_transfer,
  77     )
  78 
  79 
  80 def process_block(state: BeaconState,
  81                   block: BeaconBlock,
  82                   verify_state_root: bool=False) -> None:
  83     spec.process_block_header(state, block)
  84     spec.process_randao(state, block)
  85     spec.process_eth1_data(state, block)
  86 
  87     process_transactions(state, block)
  88     if verify_state_root:
  89         spec.verify_block_state_root(state, block)
  90 
  91 
  92 def process_epoch_transition(state: BeaconState) -> None:
  93     spec.update_justification_and_finalization(state)
  94     spec.process_crosslinks(state)
  95     spec.maybe_reset_eth1_period(state)
  96     spec.apply_rewards(state)
  97     spec.process_ejections(state)
  98     spec.update_registry(state)
  99     spec.process_slashings(state)
  100     spec.process_exit_queue(state)
  101     spec.finish_epoch_update(state)
  102 
  103 
  104 def state_transition(state: BeaconState,
  105                      block: BeaconBlock,
  106                      verify_state_root: bool=False) -> BeaconState:
  107     while state.slot < block.slot:
  108         spec.cache_state(state)
  109         if (state.slot + 1) % spec.SLOTS_PER_EPOCH == 0:
  110             process_epoch_transition(state)
  111         spec.advance_slot(state)
  112         if block.slot == state.slot:
  113             process_block(state, block, verify_state_root)
  114
  [end of utils/phase0/state_transition.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/utils/phase0/state_transition.py b/utils/phase0/state_transition.py
  --- a/utils/phase0/state_transition.py
  +++ b/utils/phase0/state_transition.py
  @@ -22,31 +22,31 @@
       )
   
   
  -def process_transaction_type(state: BeaconState,
  -                             transactions: List[Any],
  -                             max_transactions: int,
  -                             tx_fn: Callable[[BeaconState, Any], None]) -> None:
  -    assert len(transactions) <= max_transactions
  -    for transaction in transactions:
  -        tx_fn(state, transaction)
  +def process_operation_type(state: BeaconState,
  +                           operations: List[Any],
  +                           max_operations: int,
  +                           tx_fn: Callable[[BeaconState, Any], None]) -> None:
  +    assert len(operations) <= max_operations
  +    for operation in operations:
  +        tx_fn(state, operation)
   
   
  -def process_transactions(state: BeaconState, block: BeaconBlock) -> None:
  -    process_transaction_type(
  +def process_operations(state: BeaconState, block: BeaconBlock) -> None:
  +    process_operation_type(
           state,
           block.body.proposer_slashings,
           spec.MAX_PROPOSER_SLASHINGS,
           spec.process_proposer_slashing,
       )
   
  -    process_transaction_type(
  +    process_operation_type(
           state,
           block.body.attester_slashings,
           spec.MAX_ATTESTER_SLASHINGS,
           spec.process_attester_slashing,
       )
   
  -    process_transaction_type(
  +    process_operation_type(
           state,
           block.body.attestations,
           spec.MAX_ATTESTATIONS,
  @@ -54,14 +54,14 @@
       )
   
       assert len(block.body.deposits) == expected_deposit_count(state)
  -    process_transaction_type(
  +    process_operation_type(
           state,
           block.body.deposits,
           spec.MAX_DEPOSITS,
           spec.process_deposit,
       )
   
  -    process_transaction_type(
  +    process_operation_type(
           state,
           block.body.voluntary_exits,
           spec.MAX_VOLUNTARY_EXITS,
  @@ -69,7 +69,7 @@
       )
   
       assert len(block.body.transfers) == len(set(block.body.transfers))
  -    process_transaction_type(
  +    process_operation_type(
           state,
           block.body.transfers,
           spec.MAX_TRANSFERS,
  @@ -84,7 +84,7 @@
       spec.process_randao(state, block)
       spec.process_eth1_data(state, block)
   
  -    process_transactions(state, block)
  +    process_operations(state, block)
       if verify_state_root:
           spec.verify_block_state_root(state, block)
  
verification_info: {"golden_diff": "diff --git a/utils/phase0/state_transition.py b/utils/phase0/state_transition.py\n--- a/utils/phase0/state_transition.py\n+++ b/utils/phase0/state_transition.py\n@@ -22,31 +22,31 @@\n     )\n \n \n-def process_transaction_type(state: BeaconState,\n-                             transactions: List[Any],\n-                             max_transactions: int,\n-                             tx_fn: Callable[[BeaconState, Any], None]) -> None:\n-    assert len(transactions) <= max_transactions\n-    for transaction in transactions:\n-        tx_fn(state, transaction)\n+def process_operation_type(state: BeaconState,\n+                           operations: List[Any],\n+                           max_operations: int,\n+                           tx_fn: Callable[[BeaconState, Any], None]) -> None:\n+    assert len(operations) <= max_operations\n+    for operation in operations:\n+        tx_fn(state, operation)\n \n \n-def process_transactions(state: BeaconState, block: BeaconBlock) -> None:\n-    process_transaction_type(\n+def process_operations(state: BeaconState, block: BeaconBlock) -> None:\n+    process_operation_type(\n         state,\n         block.body.proposer_slashings,\n         spec.MAX_PROPOSER_SLASHINGS,\n         spec.process_proposer_slashing,\n     )\n \n-    process_transaction_type(\n+    process_operation_type(\n         state,\n         block.body.attester_slashings,\n         spec.MAX_ATTESTER_SLASHINGS,\n         spec.process_attester_slashing,\n     )\n \n-    process_transaction_type(\n+    process_operation_type(\n         state,\n         block.body.attestations,\n         spec.MAX_ATTESTATIONS,\n@@ -54,14 +54,14 @@\n     )\n \n     assert len(block.body.deposits) == expected_deposit_count(state)\n-    process_transaction_type(\n+    process_operation_type(\n         state,\n         block.body.deposits,\n         spec.MAX_DEPOSITS,\n         spec.process_deposit,\n     )\n \n-    process_transaction_type(\n+    process_operation_type(\n         state,\n         block.body.voluntary_exits,\n         spec.MAX_VOLUNTARY_EXITS,\n@@ -69,7 +69,7 @@\n     )\n \n     assert len(block.body.transfers) == len(set(block.body.transfers))\n-    process_transaction_type(\n+    process_operation_type(\n         state,\n         block.body.transfers,\n         spec.MAX_TRANSFERS,\n@@ -84,7 +84,7 @@\n     spec.process_randao(state, block)\n     spec.process_eth1_data(state, block)\n \n-    process_transactions(state, block)\n+    process_operations(state, block)\n     if verify_state_root:\n         spec.verify_block_state_root(state, block)\n", "issue": "Rename `Transactions` back to `Operations`\nA few of us implementers have been talking about the naming of `Transactions` and believe it is best renamed back to `Operations` to lower confusion and potentially mistaking `Transactions` with transactions in the classical sense. The only thing that should be known as a `Transaction` is a `Transfer`.\r\n\r\nIf not, it would be great to know what the reason behind the rename was.\r\n\n", "before_files": [{"content": "from . import spec\n\n\nfrom typing import (  # noqa: F401\n    Any,\n    Callable,\n    List,\n    NewType,\n    Tuple,\n)\n\nfrom .spec import (\n    BeaconState,\n    BeaconBlock,\n)\n\n\ndef expected_deposit_count(state: BeaconState) -> int:\n    return min(\n        spec.MAX_DEPOSITS,\n        state.latest_eth1_data.deposit_count - state.deposit_index\n    )\n\n\ndef process_transaction_type(state: BeaconState,\n                             transactions: List[Any],\n                             max_transactions: int,\n                             tx_fn: Callable[[BeaconState, Any], None]) -> None:\n    assert len(transactions) <= max_transactions\n    for transaction in transactions:\n        tx_fn(state, transaction)\n\n\ndef process_transactions(state: BeaconState, block: BeaconBlock) -> None:\n    process_transaction_type(\n        state,\n        block.body.proposer_slashings,\n        spec.MAX_PROPOSER_SLASHINGS,\n        spec.process_proposer_slashing,\n    )\n\n    process_transaction_type(\n        state,\n        block.body.attester_slashings,\n        spec.MAX_ATTESTER_SLASHINGS,\n        spec.process_attester_slashing,\n    )\n\n    process_transaction_type(\n        state,\n        block.body.attestations,\n        spec.MAX_ATTESTATIONS,\n        spec.process_attestation,\n    )\n\n    assert len(block.body.deposits) == expected_deposit_count(state)\n    process_transaction_type(\n        state,\n        block.body.deposits,\n        spec.MAX_DEPOSITS,\n        spec.process_deposit,\n    )\n\n    process_transaction_type(\n        state,\n        block.body.voluntary_exits,\n        spec.MAX_VOLUNTARY_EXITS,\n        spec.process_voluntary_exit,\n    )\n\n    assert len(block.body.transfers) == len(set(block.body.transfers))\n    process_transaction_type(\n        state,\n        block.body.transfers,\n        spec.MAX_TRANSFERS,\n        spec.process_transfer,\n    )\n\n\ndef process_block(state: BeaconState,\n                  block: BeaconBlock,\n                  verify_state_root: bool=False) -> None:\n    spec.process_block_header(state, block)\n    spec.process_randao(state, block)\n    spec.process_eth1_data(state, block)\n\n    process_transactions(state, block)\n    if verify_state_root:\n        spec.verify_block_state_root(state, block)\n\n\ndef process_epoch_transition(state: BeaconState) -> None:\n    spec.update_justification_and_finalization(state)\n    spec.process_crosslinks(state)\n    spec.maybe_reset_eth1_period(state)\n    spec.apply_rewards(state)\n    spec.process_ejections(state)\n    spec.update_registry(state)\n    spec.process_slashings(state)\n    spec.process_exit_queue(state)\n    spec.finish_epoch_update(state)\n\n\ndef state_transition(state: BeaconState,\n                     block: BeaconBlock,\n                     verify_state_root: bool=False) -> BeaconState:\n    while state.slot < block.slot:\n        spec.cache_state(state)\n        if (state.slot + 1) % spec.SLOTS_PER_EPOCH == 0:\n            process_epoch_transition(state)\n        spec.advance_slot(state)\n        if block.slot == state.slot:\n            process_block(state, block, verify_state_root)\n", "path": "utils/phase0/state_transition.py"}]}