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docs: Added Explanation for Combinators pattern along with benefits (#2028)
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---
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## Also known as
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Composition pattern
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## Intent
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The functional pattern representing a style of organizing libraries centered around the idea of combining functions.
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Putting it simply, there is some type T, some functions for constructing "primitive" values of type T,
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and some "combinators" which can combine values of type T in various ways to build up more complex values of type T.
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The functional pattern representing a style of organizing libraries centered around the idea of combining functions.
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Putting it simply, there is some type T, some functions for constructing “primitive” values of type T, and some “combinators” which can combine values of type T in various ways to build up more complex values of type T.
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## Explanation
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Real world example
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> In computer science, combinatory logic is used as a simplified model of computation, used in computability theory and proof theory. Despite its simplicity, combinatory logic captures many essential features of computation.
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>
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In plain words
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> The combinator allows you to create new "things" from previously defined "things".
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>
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Wikipedia says
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> A combinator is a higher-order function that uses only function application and earlier defined combinators to define a result from its arguments.
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>
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**Programmatic Example**
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Translating the combinator example above. First of all, we have a interface consist of several methods `contains`, `not`, `or`, `and` .
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```java
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// Functional interface to find lines in text.
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public interface Finder {
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// The function to find lines in text.
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List<String> find(String text);
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// Simple implementation of function {@link #find(String)}.
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static Finder contains(String word) {
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return txt -> Stream.of(txt.split("\n"))
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.filter(line -> line.toLowerCase().contains(word.toLowerCase()))
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.collect(Collectors.toList());
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}
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// combinator not.
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default Finder not(Finder notFinder) {
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return txt -> {
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List<String> res = this.find(txt);
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res.removeAll(notFinder.find(txt));
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return res;
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};
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}
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// combinator or.
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default Finder or(Finder orFinder) {
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return txt -> {
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List<String> res = this.find(txt);
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res.addAll(orFinder.find(txt));
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return res;
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};
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}
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// combinator and.
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default Finder and(Finder andFinder) {
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return
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txt -> this
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.find(txt)
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.stream()
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.flatMap(line -> andFinder.find(line).stream())
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.collect(Collectors.toList());
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}
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...
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}
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```
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Then we have also another combinator for some complex finders `advancedFinder`, `filteredFinder`, `specializedFinder` and `expandedFinder`.
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```java
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// Complex finders consisting of simple finder.
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public class Finders {
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private Finders() {
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}
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// Finder to find a complex query.
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public static Finder advancedFinder(String query, String orQuery, String notQuery) {
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return
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Finder.contains(query)
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.or(Finder.contains(orQuery))
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.not(Finder.contains(notQuery));
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}
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// Filtered finder looking a query with excluded queries as well.
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public static Finder filteredFinder(String query, String... excludeQueries) {
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var finder = Finder.contains(query);
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for (String q : excludeQueries) {
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finder = finder.not(Finder.contains(q));
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}
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return finder;
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}
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// Specialized query. Every next query is looked in previous result.
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public static Finder specializedFinder(String... queries) {
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var finder = identMult();
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for (String query : queries) {
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finder = finder.and(Finder.contains(query));
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}
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return finder;
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}
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// Expanded query. Looking for alternatives.
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public static Finder expandedFinder(String... queries) {
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var finder = identSum();
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for (String query : queries) {
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finder = finder.or(Finder.contains(query));
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}
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return finder;
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}
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...
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}
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```
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Now we have created the interface and methods for combinators. Now we have an application working on these combinators.
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```java
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var queriesOr = new String[]{"many", "Annabel"};
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var finder = Finders.expandedFinder(queriesOr);
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var res = finder.find(text());
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LOGGER.info("the result of expanded(or) query[{}] is {}", queriesOr, res);
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var queriesAnd = new String[]{"Annabel", "my"};
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finder = Finders.specializedFinder(queriesAnd);
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res = finder.find(text());
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LOGGER.info("the result of specialized(and) query[{}] is {}", queriesAnd, res);
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finder = Finders.advancedFinder("it was", "kingdom", "sea");
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res = finder.find(text());
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LOGGER.info("the result of advanced query is {}", res);
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res = Finders.filteredFinder(" was ", "many", "child").find(text());
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LOGGER.info("the result of filtered query is {}", res);
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private static String text() {
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return
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"It was many and many a year ago,\n"
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+ "In a kingdom by the sea,\n"
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+ "That a maiden there lived whom you may know\n"
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+ "By the name of ANNABEL LEE;\n"
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+ "And this maiden she lived with no other thought\n"
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+ "Than to love and be loved by me.\n"
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+ "I was a child and she was a child,\n"
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+ "In this kingdom by the sea;\n"
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+ "But we loved with a love that was more than love-\n"
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+ "I and my Annabel Lee;\n"
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+ "With a love that the winged seraphs of heaven\n"
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+ "Coveted her and me.";
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}
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```
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**Program output:**
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```java
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the result of expanded(or) query[[many, Annabel]] is [It was many and many a year ago,, By the name of ANNABEL LEE;, I and my Annabel Lee;]
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the result of specialized(and) query[[Annabel, my]] is [I and my Annabel Lee;]
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the result of advanced query is [It was many and many a year ago,]
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the result of filtered query is [But we loved with a love that was more than love-]
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```
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Now we can design our app to with the queries finding feature `expandedFinder`, `specializedFinder`, `advancedFinder`, `filteredFinder` which are all derived from `contains`, `or`, `not`, `and`.
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## Class diagram
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@@ -25,6 +191,14 @@ Use the combinator pattern when:
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- You are able to create a more complex value from more plain values but having the same type(a combination of them)
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## Benefits
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- From a developers perspective the API is made of terms from the domain.
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- There is a clear distinction between combining and application phase.
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- One first constructs an instance and then executes it.
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- This makes the pattern applicable in a parallel environment.
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## Real world examples
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- java.util.function.Function#compose
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