DOCS-13309 short circuit evaluation

source/includes/and-or-behavior.rst

@@ -0,0 +1,23 @@
+To allow the query engine to optimize queries, |and-or| handles
+errors as follows:
+
+- If any expression supplied to |and-or| would cause an error when
+  evaluated alone, the |and-or| containing the expression may cause an
+  error but an error is not guaranteed.
+
+- An expression supplied after the first expression supplied to |and-or|
+  may cause an error even if the first expression evaluates to
+  |true-false|.
+
+For example, the following query *always* produces an error if ``$x`` is
+``0``:
+
+.. code-block:: javascript
+
+   db.example.find( {
+      $expr: { $eq: [ { $divide: [ 1, "$x" ] }, 3 ] }
+   } )
+
+The following query, which contains multiple expressions supplied to
+|and-or|, *may* produce an error if there is any document where ``$x``
+is ``0``:

source/reference/operator/aggregation/and.txt

@@ -16,10 +16,10 @@ Definition
 .. expression:: $and
 
    Evaluates one or more expressions and returns ``true`` if *all* of
-   the expressions are ``true`` or if evoked with no argument
+   the expressions are ``true`` or if run with no argument
    expressions. Otherwise, :expression:`$and` returns ``false``.
 
-   :expression:`$and` has the following syntax:
+   :expression:`$and` syntax:
 
    .. code-block:: javascript
 
@@ -33,9 +33,6 @@ Definition
 Behavior
 --------
 
-:expression:`$and` uses short-circuit logic: the operation stops
-evaluation after encountering the first ``false`` expression.
-
 .. include:: /includes/extracts/fact-agg-boolean-and.rst
 
 .. list-table::
@@ -66,10 +63,27 @@ evaluation after encountering the first ``false`` expression.
 
      - ``false``
 
+Error Handling
+--------------
+
+.. |and-or| replace:: ``$and``
+.. |true-false| replace:: ``false``
+
+.. include:: /includes/and-or-behavior.rst
+
+.. code-block:: javascript
+
+   db.example.find( {
+      $and: [
+         { x: { $ne: 0 } },
+         { $expr: { $eq: [ { $divide: [ 1, "$x" ] }, 3 ] } }
+      ]
+   } )
+
 Example
 -------
 
-Create an example ``inventory`` collection with the following documents:
+Create an example ``inventory`` collection with these documents:
 
 .. code-block:: javascript
 
@@ -81,7 +95,7 @@ Create an example ``inventory`` collection with the following documents:
       { "_id" : 5, "item" : "VWZ2", description: "product 5", qty: 180 }
    ])
 
-The following operation uses the :expression:`$and` operator to
+This operation uses the :expression:`$and` operator to
 determine if ``qty`` is greater than 100 *and* less than ``250``:
 
 .. code-block:: javascript
@@ -99,7 +113,7 @@ determine if ``qty`` is greater than 100 *and* less than ``250``:
       ]
    )
 
-The operation returns the following results:
+The operation returns these results:
 
 .. code-block:: javascript
 

source/reference/operator/aggregation/or.txt

@@ -31,9 +31,6 @@ Definition
 Behavior
 --------
 
-:expression:`$or` uses short-circuit logic: the operation stops
-evaluation after encountering the first ``true`` expression.
-
 .. include:: /includes/extracts/fact-agg-boolean-or.rst
 
 .. list-table::
@@ -60,6 +57,23 @@ evaluation after encountering the first ``true`` expression.
 
      - ``false``
 
+Error Handling
+--------------
+
+.. |and-or| replace:: ``$or``
+.. |true-false| replace:: ``true``
+
+.. include:: /includes/and-or-behavior.rst
+
+.. code-block:: javascript
+
+   db.example.find( {
+      $or: [
+         { x: { $eq: 0 } },
+         { $expr: { $eq: [ { $divide: [ 1, "$x" ] }, 3 ] } }
+      ]
+   } )
+
 Example
 -------
 

source/reference/operator/query/and.txt

@@ -14,40 +14,51 @@ $and
 
    *Syntax*: ``{ $and: [ { <expression1> }, { <expression2> } , ... , { <expressionN> } ] }``
 
-   :query:`$and` performs a logical ``AND`` operation on an array
-   of *one or more* expressions (e.g. ``<expression1>``,
-   ``<expression2>``, etc.) and selects the documents that satisfy
-   *all* the expressions in the array. The :query:`$and` operator
-   uses *short-circuit evaluation*. If the first expression
-   (e.g. ``<expression1>``) evaluates to ``false``, MongoDB will not
-   evaluate the remaining expressions.
+   :query:`$and` performs a logical ``AND`` operation on an array of
+   *one or more* expressions (``<expression1>``, ``<expression2>``, and
+   so on) and selects the documents that satisfy *all* the expressions.
 
    .. note::
 
       MongoDB provides an implicit ``AND`` operation when specifying a
       comma separated list of expressions.
 
+Behavior
+--------
+
+.. |and-or| replace:: ``$and``
+.. |true-false| replace:: ``false``
+
+.. include:: /includes/and-or-behavior.rst
+
+.. code-block:: javascript
+
+   db.example.find( {
+      $and: [
+         { x: { $ne: 0 } },
+         { $expr: { $eq: [ { $divide: [ 1, "$x" ] }, 3 ] } }
+      ]
+   } )
+
 Examples
 --------
 
 ``AND`` Queries With Multiple Expressions Specifying the Same Field
 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 
-Consider the following example:
+Consider this query:
 
 .. code-block:: javascript
 
    db.inventory.find( { $and: [ { price: { $ne: 1.99 } }, { price: { $exists: true } } ] } )
 
-This query will select all documents in the ``inventory``
-collection where:
+The query selects all documents in the ``inventory`` collection where:
 
 - the ``price`` field value is not equal to ``1.99`` **and**
 - the ``price`` field exists.
 
-This query can be also be constructed with an implicit ``AND``
-operation by combining the operator expressions for the ``price``
-field.  For example, this query can be written as:
+The query can be rewritten with an implicit ``AND`` operation that
+combines the operator expressions for the ``price`` field:
 
 .. code-block:: javascript
 
@@ -56,7 +67,7 @@ field.  For example, this query can be written as:
 ``AND`` Queries With Multiple Expressions Specifying the Same Operator
 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 
-Consider the following example:
+Consider this query:
 
 .. code-block:: javascript
 
@@ -67,14 +78,14 @@ Consider the following example:
        ]
    } )
 
-This query will select all documents where:
+The query selects all documents where:
 
 - the ``qty`` field value is less than ``10`` or greater than ``50``, **and**
 - the ``sale`` field value is equal to ``true`` **or** the ``price``
   field value is less than ``5``.
 
-This query cannot be constructed using an implicit ``AND`` operation,
-because it uses the :query:`$or` operator more than once.
+The query cannot use an implicit ``AND`` operation because it uses the
+:query:`$or` operator more than once.
 
 .. seealso::
 

source/reference/operator/query/or.txt

@@ -118,3 +118,20 @@ You may nest :query:`$or` operations.
    - :method:`~db.collection.find()`
    - :method:`~cursor.sort()`
    - :query:`$in`
+
+Error Handling
+~~~~~~~~~~~~~~
+
+.. |and-or| replace:: ``$or``
+.. |true-false| replace:: ``true``
+
+.. include:: /includes/and-or-behavior.rst
+
+.. code-block:: javascript
+
+   db.example.find( {
+      $or: [
+         { x: { $eq: 0 } },
+         { $expr: { $eq: [ { $divide: [ 1, "$x" ] }, 3 ] } }
+      ]
+   } )