drin commented on code in PR #227:
URL: https://github.com/apache/arrow-cookbook/pull/227#discussion_r932537934


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cpp/source/compute.rst:
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@@ -0,0 +1,151 @@
+.. Licensed to the Apache Software Foundation (ASF) under one
+.. or more contributor license agreements.  See the NOTICE file
+.. distributed with this work for additional information
+.. regarding copyright ownership.  The ASF licenses this file
+.. to you under the Apache License, Version 2.0 (the
+.. "License"); you may not use this file except in compliance
+.. with the License.  You may obtain a copy of the License at
+
+..   http://www.apache.org/licenses/LICENSE-2.0
+
+.. Unless required by applicable law or agreed to in writing,
+.. software distributed under the License is distributed on an
+.. "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+.. KIND, either express or implied.  See the License for the
+.. specific language governing permissions and limitations
+.. under the License.
+
+====================================
+Defining and Using Compute Functions
+====================================
+
+This section contains (or will contain) a number of recipes illustrating how to
+define new "compute functions" or how to use existing ones. Arrow contains a 
"Compute
+API," which primarily consists of a "registry" of functions that can be 
invoked.
+Currently, Arrow populates a default registry with a variety of useful 
functions. The
+recipes provided in this section show some approaches to define a compute 
function as well
+as how to invoke a compute function by name, given a registry.
+
+
+.. contents::
+
+Invoke a Compute Function
+=========================
+
+When invoking a compute function, the function must exist in a function 
registry. In this
+recipe, we use `CallFunction()` to invoke the function with name 
"named_scalar_fn".
+
+.. recipe:: ../code/compute_fn.cc InvokeByCallFunction
+  :caption: Use CallFunction() to invoke a compute function by name
+  :dedent: 2
+
+.. note::
+    This method allows us to specify arguments as a vector and a custom 
ExecContext.
+
+If an `ExecContext` is not passed to `CallFunction` (it is null), then the 
default
+FunctionRegistry will be used to call the function from.
+
+If we have defined a convenience function that wraps `CallFunction()`, then we 
can call
+that function instead. Various compute functions provided by Arrow have these 
convenience
+functions defined, such as `Add` or `Subtract`.
+
+.. recipe:: ../code/compute_fn.cc InvokeByConvenienceFunction
+  :caption: Use a convenience invocation function to call a compute function
+  :dedent: 2
+
+
+Adding a Custom Compute Function
+================================
+
+To make a custom compute function available, there are 3 primary steps:
+
+1. Define kernels for the function (these implement the actual logic)
+
+2. Associate the kernels with a function object
+
+3. Add the function object to a function registry
+
+
+Define Function Kernels
+-----------------------
+
+A kernel is a particular function that implements desired logic for a compute 
function.

Review Comment:
   mmmm.. I wrote the paragraph to help contextualize what the recipe covers 
and what it doesn't. Also to implicitly hint at why the kernel function is 
named `Exec` and clarify that both an execution kernel and intialization kernel 
are basically just functions associated with "the compute function". Also that 
they are associated as a pair, so initialization and execution kernels are not 
dispatched individually.
   
   I definitely see your point, so I don't know if I should just move this to 
some other documentation which may not yet exist or if I should leave it here 
to be moved later.



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