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NaN is not equal to any other value, you cannot use code like this to remove values from a sequence of numbers:
Sometimes you might wish to sort a collection of values by some key, but that key is not unique. You want the values with the same key to be sorted in some predictable, repeatable order, but you do not care much what that order is.
Comparator comparatorexample
NaN) values as equal to all other numbers. If you call sort on sequences of numbers that contain occurrences of
As a toy example, you might have a collection of vectors, each with two elements, where the first element is always a string and the second is always a number. You want to sort them by the number value in increasing order, but you know your data can contain more than one vector with the same number. You want to break ties in some way, consistently across multiple sorts.
If the entire vector values can be compared with compare, because all vectors are equal length, and the type of each corresponding elements can be compared to each other with compare, then you can also do this, using the entire vector values as the final tie-breaker:
NaN. The function NaN? was added in Clojure version 1.11.0. You may use the Java method Double/isNaN with any version of Clojure:
The techniques described in "Multi-field comparators" above provide correct comparators for this example. In general, be wary of comparing only parts of values to each other. Consider having some kind of tie-breaking condition after all of the fields of interest to you have been compared.
Why? Java comparators must return a 32-bit int type, so when a Clojure function is used as a comparator and it returns any type of number, that number is converted to an int behind the scenes using the Java method intValue. See Clojure source file src/jvm/clojure/lang/AFunction.java method compare if you want the details.
Even if it does not throw an exception, it is likely that the returned sequence will not be sorted. This is because compare does not put
An exception will be thrown if you call compare with different types. Any numeric types above can be compared to each other, but not to a non-numeric type. An exception will also be thrown if you use compare on a list, set, map, or any other type not mentioned above. You must implement your own comparator if you wish to sort such values.
A boolean comparator takes 2 values, x and y, and returns true if x comes before y, or false otherwise (including if x and y are equal). < and > are good examples. <= and >= are not. Performance note: your boolean comparator may be called twice to distinguish between the "comes after" or "equals" cases.
Aside: If you do not want multiple vectors in your set with the same number, by-2nd is the comparator you should use. It gives exactly the behavior you want. (TBD: Are there any caveats here? Will sorted-set ever use = to compare elements for any reason, or only the supplied comparator function?)
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Below is the shorter way, by comparing Clojure vectors. It behaves exactly the same as above. Note that as above, the field :salary is sorted in descending order because x and y are swapped.
Clojure’s default comparator compare treats "Not a Number" (
To sort numbers in decreasing order, simply write a comparator that calls compare with the arguments in the opposite order:
numbers are sorted in increasing numeric order, returning 0 if two numbers are numerically equal by ==, even if = returns false. Exception: Even though (==
Ensure that your comparators are based on a total order over the values you want to compare. It should be able to compare any pair of values that can appear in your data set, and determine which value should come first (or that they are equal).
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For comparing floating point numbers and ratios, this causes numbers differing by less than 1 to be treated as equal, because a return value between -1 and 1 is truncated to the int 0:
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Any comparator, whether 3-way or boolean, should return answers consistent with a total order on the values you want to compare.
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The boolean comparator by-2nd-<= seems to work correctly on the first step of creating the set, but fails when testing whether elements are in the set.
ComparatorMinecraft
Remove or replace occurrences of "Not a Number" (
A comparator is a function that takes two arguments x and y and returns a value indicating the relative order in which x and y should be sorted. It can be a 3-way comparator returning an integer, or a 2-way comparator returning a boolean. See the DOs below for what the return values should be, depending upon the order of x and y.
NaN, it might throw an exception.
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You may use the function NaN? to determine whether a value is
For example, you can order all fractions written in the form m/n for integers m and n from smallest to largest, in the usual way this is done in mathematics. Many of the fractions would be equal to each other, e.g. 1/2 = 2/4 = 3/6. A comparator implementing that total order should behave as if they are all the same.
NaN x) is 0 for all numbers x, including
Because
Do not use comparators for sorted sets and maps that treat two values as equal, unless you want at most one of those two values to appear in the sorted collection.
You can see this by calling the compare method of any Clojure function. Below is an example with a custom version my-< of < that prints its arguments when it is called, so you can see the cases where it is called more than once:
NaN.
A total order is simply an ordering of all values from smallest to largest, where some groups of values can all be equal to each other. Every pair of values must be comparable to each other (i.e. no "I do not know how to compare them" answers from the comparator).
Java comparators are all 3-way, meaning they return a negative, 0, or positive integer depending upon whether the first argument should be considered less than, equal to, or greater than the second argument.
Comparator comparatorjava
The default comparator compare works well for sorting numbers in increasing order, or strings, keywords, or symbols, in lexicographic (i.e dictionary) order, and a few other cases. See below for examples and more details.
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compare throws an exception if given two values whose types are "too different", e.g. it can compare integers, longs, and doubles to each other, but not strings to keywords or keywords to symbols. It cannot compare lists, sequences, sets, or maps.
NaN x) is false for all numbers x, even
This is just as accurately stated as "comparators are easy to get wrong", but it is often more noticeable when you use a bad comparator for sorted sets and maps. If you write the kinds of bad comparators in this section and use them to call sort, usually little or nothing will go wrong (although inconsistent comparators are not good for sorting, either). With sorted sets and maps, these bad comparators can cause values not to be added to your sorted collections, or to be added but not be found when you search for them.
Suppose you want a sorted set containing vectors of two elements, where each is a string followed by a number, e.g. ["a" 5]. You want the set sorted by the number, and to allow multiple vectors with the same number but different strings. Your first try might be to write something like by-2nd:
NaN into a total order with other numbers as a comparator should, in order for sort to work correctly:
NaN) from your data before sorting a collection, and avoid using them as parts of keys in a sorted collection.
Do not write a boolean comparator that returns true if the values are equal. Such a comparator is inconsistent. It will cause sorted collections to behave incorrectly, and sorting to give unpredictable orders.
A perfect example of this would be sorting Unicode strings in different languages in orders specific to different locales. The Java Collator class and ICU (International Components for Unicode) provide libraries for this.
A boolean comparator (cmp a b) should return true if a is before b in the total order, or false if a is after or considered equal to b. That is, it should work like < does for numbers. As explained later, it should not behave like <= for numbers (see section "Comparators for sorted sets and maps are easy to get wrong").
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When to use Comparable andComparatorin Java with example
However, that will throw an exception if some element position in the vectors contain types too different for compare to work on, and those vectors have the same second element:
While this works in many cases, think twice (or three times) before using this technique. It is less error-prone to use explicit conditional checks and return -1, 0, or 1, or to use boolean comparators.
A 3-way comparator takes 2 values, x and y, and returns a Java 32-bit int that is negative if x comes before y, positive if x comes after y, or 0 if they are equal. Use values -1, 0, and 1 if you have no reason to prefer other return values.
Java itself uses a subtraction comparator for strings and characters, among others. This does not cause any problems, because the result of subtracting an arbitrary pair of 16-bit characters converted to ints is guaranteed to fit within an int without wrapping around. If your comparator is not guaranteed to be given such restricted inputs, better not to risk it.
cc-cmp ("cross class compare") below may be useful in such cases. It can compare values of different types, which it orders based on a string that represents the type of the value. It is not simply (class x), because then numbers like Integer and Long would not be sorted in numeric order. The library clj-arrangement may also be useful to you.
A 3-way comparator (cmp a b) should return a negative, positive, or 0 int if a is before, after, or is considered equal to b in the total order, respectively.
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In Clojure, you may also use boolean comparators that return true if the first argument should come before the second argument, or false otherwise (i.e. should come after, or it is equal). The function < is a perfect example, as long as you only need to compare numbers. > works for sorting numbers in decreasing order. Behind the scenes, when such a Clojure function bool-cmp-fn is "called as a comparator", Clojure runs code that works like this to return an int instead:
Comparatorin Java
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keywords are sorted the same way as symbols, but an exception is thrown if you attempt to compare a keyword to a symbol.
Comparatorvs Comparable in Java
strings are sorted in lexicographic order (aka dictionary order) by their representation as sequences of UTF-16 code units. This is alphabetical order (case-sensitive) for strings restricted to the ASCII subset.
If compare does not do what you want, you must provide your own comparator that does. Each of the recommendations below is explained in more detail later in this document.
Comparator comparatorw3schools
symbols are sorted first by their namespace, if they have one, and if they have the same namespace, then by their name. Both the namespace and names are compared as their string representations would be, lexicographically. All symbols that do not have a namespace are sorted before any symbol with a namespace.
This also leads to bugs when comparing integer values that differ by amounts that change sign when you truncate it to a 32-bit int (by discarding all but its least significant 32 bits). About half of all pairs of long values are compared incorrectly by using subtraction as a comparator.
Here we describe the default sorting order provided by the function compare. After that we give examples of other comparators, with some guidelines to follow and mistakes to avoid when writing your own.
Comparatorexample in Java 8
NaN, (compare
Because equal-length Clojure vectors are compared lexicographically, they can be used to do multi-field sorting on values like maps or records. This only works if the fields are already sorted by compare in the order you wish (or the reverse of that).
In Clojure you need comparators for sorting a collection of values, or for maintaining a collection of values in a desired sorted order, e.g a sorted-map, sorted-set, or priority-map (also known as a priority queue).
The problem here is that by-2nd-<= gives inconsistent answers. If you ask it whether ["c" 1] comes before ["b" 1], it returns true (which Clojure’s boolean-to-int comparator conversion turns into -1). If you ask it whether ["b" 1] comes before ["c" 1], again it returns true (again converted into -1 by Clojure). One cannot reasonably expect an implementation of a sorted data structure to provide any kind of guarantees on its behavior if you give it an inconsistent comparator.
Only one element is in the set, because by-2nd treats all three of the vectors as equal. Sets should not contain duplicate elements, so the other elements are not added.
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All Java types implementing the Comparable interface such as characters, booleans, File, URI, and UUID are compared via their compareTo methods.
Java comparators return a negative int value if the first argument is to be treated as less than the second, a positive int value if the first argument is to be treated as greater than the second, and 0 if they are equal.
The above is fine for key values that are inexpensive to compute from the values being sorted. If the key values are expensive to compute, it is better to calculate them once for each value. See the "decorate-sort-undecorate" technique described in the documentation for sort-by.
Such short functions are often written using Clojure’s #() notation, where the two arguments are %1 and %2, in that order.
If you do not specify your own comparator, sorting is done by a built-in function compare. compare works for many types of values, ordering them in one particular way: