Using STL functions with a struct? - c++

I've recently read up on STL functions in C++. I understand the basic uses of the functions, but I am struggling getting them to use member variables of a struct.
I have this struct:
struct Apples
{
double weight; // oz
string color; // red or green
void print() const { cout << color << ", " << weight << endl; }
};
Basically, I insert Apples into a vector storing random weights and random color. Now, I want to use a count_if function to determine how many apples are greater than a given weight. I want to convert a function like this:
int cnt = 0;
for(auto it = crate.cbegin(); it != crate.cend(); ++it)
if(it->weight > toFind)
cnt++;
to a count_if() version (this does not work):
int cnt = count_if(crate.begin(), crate,end(), isGreater())
With isGreater() being like this:
void isGreater()
{
if(it->weight > toFind)
return it->weight > toFind;
}
What I don't understand about STL functions and a struct is how to use the member variables inside of the struct with the STL functions. I'm not sure what to pass inside of the STL function, either. Would it be better to use a lambda function in this case? If so, why?
Here is all the current code, if it doesn't make sense:
#include <iostream>
#include <ctime>
#include <cstdlib>
#include <vector>
#include <deque>
#include <string>
using namespace std;
struct Apples
{
double weight; // oz
string color; // red or green
void print() const { cout << color << ", " << weight << endl; }
};
void isGreater()
{
if(it->weight > toFind)
return it->weight > toFind;
}
int main()
{
srand(time(nullptr));
const double minWeight = 8.;
const double maxWeight = 3.;
cout << "Input crate size: ";
int size;
cin >> size;
vector <Apples> crate(size);
for(auto it = crate.begin(); it != crate.end(); ++it)
{
it->weight = minWeight + static_cast<double>(rand())/RAND_MAX*(maxWeight - minWeight);
it->color = rand() % 2 == 1 ? "green" : "red";
}
cout << "Enter weight to find: ";
double toFind;
cin >> toFind;
//this is what I want to convert to count if
int cnt = 0;
for(auto it = crate.cbegin(); it != crate.cend(); ++it)
if(it->weight > toFind)
cnt++;

std::count_if takes unary predicate as the third argument. In this case unary predicate is a function taking one object and returning true if object matches find criterion or false if not.
Since your criterion depends on toFind, it seems more laconic to use lambda capturing toFind:
int cnt = count_if(crate.begin(), crate.end(), [toFind](const Apple& apple) {
return it->weight > toFind;
});
If you want a standalone function, you can use:
bool isGreater(double toFind, const Apple& apple) {
return it->weight > toFind;
}
...
int cnt = count_if(crate.begin(), crate.end(),
std::bind(&isGreater, toFind, std::placeholders::_1));
Note, that you don't need to call function, you need to pass it:
int cnt = count_if(crate.begin(), crate,end(), isGreater())
// ^^ remove parentheses

you are not storing the apples in the vector.
you have to initialize inside a loop each apple and then store them in the vector.
crate.push_back(newApple).
so run a loop from 0 to size.
inside that loop initialize new apples and give them weights and colors
then push_back in vector:
for(int i = 0; i < size ++i)
{
apples newApple;
newApple.weight = ...;
newApple.color = ...;
crate.push_back(newApple);
}

This is usually accomplished by creating a "functor" class, a class whose objects can be called like a function. Each instance call hold the reference weight:
struct IsGreater {
double w;
IsGreater(double weight) : w{weight} {}
bool operator()(const Apples& A) const {
return A.weight > w;
}
};
Then we just need to create an instance of the class holding the reference weight and pass it to count_if:
const int count = std::count_if(crate.begin(), crate.end(), IsGreater(toFind));
You can avoid creating an explicit class using a lambda:
const int count = std::count_if(crate.begin(), crate.end(),
[=](const Apples& A) -> bool {
return A.weight > toFind;
});
Here the reference value toFind is captured by value.

Related

How do I access elements of multiset within a vector in the format "vector<multiset<char> vp;"?

I am creating a program that receives a value in multiset in the form of vector<multisetvp; and stores it in multiset inside the vector when the number of it becomes five. If you store values from 1 to 10, when you print out vector,
1 2 3 4 5
6 7 8 9 10
I want it to come out like this.
However, it is difficult to output the value stored in multiset inside the vector. Ask for help in how to solve this problem.
I also tried to output the value of 'sp' using overlapping 'range-based for statements', but it ended up outputting only one multiset of vector. I want to store and output multisets with up to five elements in the vector.
#include <iostream>
#include <set>
#include <vector>
#include <array>
using namespace std;
class MyCharector {
vector<multiset<char>> vp;
vector<multiset<char>>::iterator vit;
multiset<char>* sp;
multiset<char>::iterator sit;
public:
~MyCharector() { }
void ininven(multiset<char> s) {
vp.push_back(s);
}
void getItem(char* item) {
sp = new multiset<char>;
for (int i = 0; i < 10; i++) {
sp->insert(item[i]);
if (sp->size() == 5) {
ininven(*sp);
}
}
delete sp;
}
void dropItem() { // is not use
vit = vp.begin();
vit = vp.erase(vit);
}
void showItem() {
for (vit = vp.begin(); vit != vp.end(); vit++) {
// problems.....
}
}
};
int main(int argc, const char* argv[]) {
MyCharector my;
array<char,10> item = { 'a','a','e','d','g','f','c','c','h','b' };
my.getItem(item.data());
my.showItem();
return 0;
}
Of course you can make it work with iterators but what's wrong with simple range based loops?
for (const auto& ms : vp)
for (char c : ms)
cout << c;
Also why use new and delete in getItem? And why declare class variables when you should use local variables?
void getItem(char* item) {
multiset<char> sp;
for (int i = 0; i < 10; i++) {
sp.insert(item[i]);
if (sp.size() == 5) {
ininven(sp);
}
}
}
sp doesn't need to be a pointer, and it should be a local variable.
EDIT
Also I think getItem has a bug. I'm guessing that you want a new multiset every five character, but that's not what the code does. Maybe this is what you want
void getItem(char* item) {
multiset<char> sp;
for (int i = 0; i < 10; i++) {
sp.insert(item[i]);
if (sp.size() == 5) {
ininven(sp);
sp.clear(); // start again
}
}
}

How to initialize items in a range in a captureless lambda, C++

My code is below. This works, It allows me to have exactly one range in my lambda.
So I guess what my question is, is how do I achieve the same results without using
"if(LOOP > 2 && LOOP < 5){int THERANGEVALUE = 2; FUNC[THERANGEVALUE]();}"?
And instead initialize an item in my captureless lambda as being ranged instead. aka, item_2 being item_range(2,4). And then also being able to continue my lambda normally, whereas Item_3 will equate to item_5.
Thank you for any help in advance, I will gladly add more input if requested.
#include <iostream>
using namespace std;
void (*FUNC[3])(void) = { //captureless lambda.
/*ITEM_0*/[](){ cout << "x" << endl;},
/*ITEM_1*/[](){cout << "y" << endl;},
/*ITEM_2->ITEM_4*/[](){cout<<"z";}
};
/*Here the [](){code;} lambda is acting as a stand-in for void FUNC() so it shouldn't touch anything outside of its scope*/
int LOOP = 4;
int main()
{
if(LOOP > 2 && LOOP < 5){int THERANGEVALUE = 2; FUNC[THERANGEVALUE]();}
FUNC[LOOP]();
return 0;
}
Adding on to this, below is the solution I came up with after asking a friend. To my surprise it was actually a lot simpler than I expected. While I couldn't initialize each item in the lambda in a range easily, I could pass it into an array and set a range inside of the array instead. So while it's not quite what I was looking for, it's...good enough for my purposes. Thanks Jaime if you see this. Otherwise I'd use PilouPili's answer below.
#include <iostream>
using namespace std;
void (*FUNC[4])(void) = { //captureless lambda.
/*ITEM_0*/ [](){ cout << "x" << endl;},
/*ITEM_1*/ [](){cout << "y" << endl;},
/*ITEM_2->ITEM_4*/[](){cout<<"z";},
/*ITEM_5*/ [](){cout<<"z";}
};
int LOOP = 4;
int main()
{
int ARR[5]={};
for(int I = 0; I < 6;I=I+1){//handling of ranged values.
if(I>2 && I<5){ARR[I]=2;} else {ARR[I]=I;}
}
FUNC[ARR[LOOP]]();
return 0;
}
I only see to way :
either extend your function array -> That's FUNC1 in the next example
change the value given in operator [] -> That's FUNC2 in the next example
#include <iostream>
#include <vector>
using namespace std;
std::vector<void (*)(void)> init_FUNC()
{
std::vector<void (*)(void)> func(5, [](){cout<<"z";});
func[0]=[](){ cout << "x" << endl;};
func[1]=[](){ cout << "y" << endl;};
return func;
}
std::vector<void (*)(void)> FUNC1= init_FUNC();
class FUNC_MAP
{
void (*_FUNC[3])(void) = { //captureless lambda.
/*ITEM_0*/[](){ cout << "x" << endl;},
/*ITEM_1*/[](){cout << "y" << endl;},
/*ITEM_2->ITEM_4*/[](){cout<<"z";}
};
typedef void (*FUNC_MAP_OUT)(void);
public:
FUNC_MAP_OUT operator[](int i)
{
if(i>2 && i<5)
{return _FUNC[2];}
else
{return _FUNC[i];}
}
};
FUNC_MAP FUNC2;
/*Here the [](){code;} lambda is acting as a stand-in for void FUNC() so it shouldn't touch anything outside of its scope*/
int LOOP = 1;
int main()
{
FUNC1[LOOP]();
FUNC2[LOOP]();
return 0;
}

Trouble Using Template Bubblesort with Array of Structs

So my goal is to read in some data and sort it by population, but I have to use a sort that can accept multiple data types. I was instructed to use a template to do this, but every time I pass the array "results[i].pop" to my bubblesort function I receive the error
no matching function for call to ‘bubblesort(std::string&)’
bubblesort(results[i].pop);"
note: candidate is:
election.cpp:32:3: note: template T bubblesort(T*)
T bubblesort(T ar[])
^
election.cpp:32:3: note: template argument deduction/substitution failed:
election.cpp:106:34: note: cannot convert ‘results[i].election::pop’ (type ‘std::string {aka std::basic_string}’) to type ‘std::basic_string*’
bubblesort(results[i].pop);
Here's the code:
#include <iostream>
#include <iomanip>
#include <string>
#include <cstdlib>
#include <fstream>
#include <stdlib.h>
using namespace std;
struct election {
string party;
string state;
string pop;
string reps;
int ratio;
};
template <typename T>
void bubblesort(T ar[])
{
//Bubblesort
int n = 51;
int swaps = 1;
while(swaps)
{
swaps = 0;
for (int i = 0; i < n - 1; i++)
{
if (ar[i] > ar[i + 1])
{
swap(ar[i],ar[i+1]);
swaps = 1;
}
}
}
//End Bubblesort
}
void delete_chars(string & st, string ch)
{
int i = st.find(ch);
while (i > -1)
{
st.replace(i,1,"");
i = st.find(ch);
}
}
int main()
{
int i = 0;
int n = 51;
election results[n];
int population[n];
int electoralVotes[n];
int ratio[n];
string st;
fstream inData;
//Read in Data from Text File
inData.open("electionresults.txt");
//Print Array as is
cout << "Array Printed As is" << endl;
cout << left << setw(10) << "Party" << setw(20) << "State" << setw(20) << "Population" << setw(15) << "Representatives" << endl;
for (int i = 0; i < n; i++)
{
getline(inData,st);
results[i].party = st.substr(0,1);
results[i].state = st.substr(8,14);
results[i].pop = st.substr(24,10);
results[i].reps = st.substr(40,2);
cout << left << setw(10) << results[i].party << setw(20) << results[i].state << setw(20) << results[i].pop << setw(15) << results[i].reps << endl;
}
//Array Sorted by Population
cout << "Array Sorted By Population" << endl;
cout << endl;
cout << endl;
cout << left << setw(10) << "Party" << setw(20) << "State" << setw(20) << "Population" << setw(15) << "Representatives" << endl;
for(int i = 0; i < n; i++){
bubblesort<string>(results[i].pop);
}
For your bubblesort to work, you need to implement the greater than operator(>) for the election struct:
struct election
{
string party;
string state;
string pop;
string reps;
int ratio;
bool operator>( election a)
{
return pop > a.pop;
}
};
Now call the bubblesort by passing the results array:
bubblesort<election>(results);
A side note your function should pass in the size rather than hardcoding the size in the function(void bubblesort(T ar[], int size)). This gives your function much more functionality and adaptability.
The other answer addressed the issue if you only wanted to sort on pop. However, it is a limited solution, and won't address the real issue of sorting on any field (today it's "pop", but what if this isn't the case tomorrow, where you want to sort on "ratio"?). The issue is that you cannot provide more than one operator > to do this and you're basically stuck only sorting on pop.
Another solution is to provide the bubblesort function with an additional template parameter that defines what to do when given two T's, whether one T should be placed before the other T in the sorted array.
#include <functional>
#include <algorithm>
//...
template <typename T, typename cmp>
void bubblesort(T ar[], int n, cmp compare_fn)
{
int swaps = 1;
while (swaps)
{
swaps = 0;
for (int i = 0; i < n - 1; i++)
{
if (!compare_fn(ar[i], ar[i + 1]))
{
std::swap(ar[i], ar[i + 1]);
swaps = 1;
}
}
}
}
// keep our original 2 param bubble sort, but let it call the one above
template <typename T>
void bubblesort(T ar[], int n)
{
// call general version using <
bubblesort(ar, n, std::less<T>());
}
We basically have two functions, where the two parameter bubblesort function calls the general 3 parameter bubblesort version that takes a third parameter, which describes the comparison.
The two parameter version of bubblesort is used when you want to call bubblesort for the "simple" cases, where your items are
In an array and
You can compare T using < and
You want to sort in ascending order (which is why we used < and not > for the general case).
For example, an array of int needs to be sorted, and you simply want to sort it in ascending order:
int someArray[10];
//...
bubblesort<int>(someArray, 10); // sort ascending
However, we don't want to do a "simple" sort on int, or even std::string. We want to sort on election, and not only that, on election.pop.
If you look at the first bubblesort function above, note that we replaced the comparison using > with a call to a function compare_fn. Note that the parameter is defaulted to the std::less function object. This is why the second bubblesort function works for simple types, since std::less uses < to compare.
However, if you tried to call the bubblesort using only two parameters using election, you come across another compiler error, basically stating that election has no operator < to compare with. The solution to that is either
1) to provide such an operator < (similar to the other answer given) to the election struct or
2) Write a custom comparison function.
So let's go over each of these solutions.
Solution 1:
If we use 1), the election struct will look like this:
struct election
{
std::string party;
std::string state;
std::string pop;
std::string reps;
int ratio;
bool operator <(const election& e) const { return pop < e.pop; }
};
int main()
{
//...
bubblesort<election>(results, n);
}
This will now sort on results using pop as the item to sort on due to the operator < defined in election being used by std::less<>.
Here is an example using overloaded < in election
However, this solution has the same issues as the other answer, in that you can only define one operator < that takes a const election& as a parameter. If you wanted to sort on ratio, for example, you're out of luck, or if you want to sort pop in descending order, you're out of luck. This is where option 2) above will be used.
Solution 2:
We can define what we want to sort on, the sort order, etc. by providing a custom comparison function, function object, or lambda function that returns true if the first T should come before the second T that's passed into the comparison function, false otherwise.
Let's try a function:
bool compare_pop(const election& e1, const election& e2)
{
return e1.pop < e2.pop; // if e1.pop comes before e2.pop, return true, else false
}
int main()
{
//...
bubblesort<election>(results, n, compare_pop);
}
What will happen now is that this will call the first version of bubblesort that takes a comparison function as a parameter. The bubblesort template function will now call compare_pop to determine if the items are out of order. If compare_pop returns false the bubblesort function will swap the items, otherwise it will leave them alone.
Here is a live example with an array of 3 elections, sorted on pop
If you wanted to use a lambda function instead of writing another compare function, that will work too:
int main()
{
//...
bubblesort<election>(results, n, [&](const element& e1, const element& e2) { return e1.pop < e2.pop; });
}
The above will do the same thing as the function example, except that you no longer need to write a separate function as the lambda syntax is used as the function.
Example using lambda syntax
So now, what if we want to sort on pop, but descending and not ascending? Simple -- call bubblesort with a different function or lambda:
bool compare_pop_up(const election& e1, const election& e2)
{
return e1.pop > e2.pop; // if e1.pop comes after e2.pop, return true, else false
}
int main()
{
//...
bubblesort<election>(results, n, compare_pop_up);
}
or using lambda:
int main()
{
//...
bubblesort<election>(results, n,
[&](const element&e1, const element& e2)
{ return e1.pop > e2.pop;});
}
and magically, the bubblesort does the job, sorting on pop in descending order.
Here is a live example with an array of 3 elections, sorted on pop, descending
What if you want to sort on ratio? Same thing -- provide a different function or lambda:
bool compare_ratio(const election& e1, const election& e2)
{
return e1.ratio < e2.ratio;
}
int main()
{
//...
bubblesort<election>(results, n, compare_ratio);
}
or using lambda:
int main()
{
//...
bubblesort<election>(results, n,
[&](const element&e1, const element& e2)
{ return e1.ratio < e2.ratio;});
}
This will sort on ratio in ascending order of the ratio.
The other issue with your code is that you are using non-standard C++ syntax in defining your arrays. You're doing this:
election results[n];
This is not standard C++ syntax, as C++ only allows arrays to be created using a compile-time expression to denote the number of items. You're using something called Variable Length Arrays, which is not standard.
Instead, you can use std::vector, which is standard C++.
#include <vector>
//...
std::vector<election> results(n);
//...
bubblesort<election>(results.data(), results.size(), compare_pop)

Table Representation in C++

Basically, say, I have the following data:
(let me note that the columns change with every piece of data I get, i.e. I need to keep things general and cannot restrict my solution to only Tenor, Date, etc.)
Now I want to be able to represent and conveniently access this data in an object/class in C++.
I have been playing around with map a bit:
#include <iostream>
#include <map>
#include <string>
using namespace std;
class my_table {
private:
map<string, map<string, string>> c;
public:
void set(string key1, string key2, string value){ this->c[key1][key2] = value; }
string get(string key1, string key2){
map<string, map<string, string>>::iterator it = this->c.find(key1);
if (it != this->c.end()){
map<string, string>::iterator it2 = this->c[key1].find(key2);
if (it2 != this->c[key1].end()){
return c[key1][key2];
}
return "n/a";
}
return "n/a";
}
};
void main() {
my_table a;
a.set("1", "Tenor", "1D");
cout << a.get("1", "Tenor") << endl; // returns '1D'
cout << a.get("2", "Tenor") << endl; // returns 'n/a'
cout << a.get("1", "Rate") << endl; // returns 'n/a'
}
But I am not overly satisfied with this implemenation. In particular, I would want to be able to do things like:
a.get("Tenor","3M", "Rate") // should return '1.6%'
a.get("Date","01-Jan-2016", "Responsibility") // should return 'MG'
a.get_all("Type","Forward", "Rate") // should return an array {1.3%,2.4%}
a.get_row(4) // should return an array {4M,...,2.0%,MG}
And:
I am wondering whether there are there any standard packages that could help me simplify this implementation overall?
In particular, my get function seems unnecessarily cumbersome.
And generally, is map is even the right way to go in terms of storing data like this?
And what if I wanted to generalise this implemenation to more than just 2 keys? Maybe 3 keys. My solution is quite rigid
enum struct Type {
Spot
Forward
}
struct Row {
string tenor;
Date date;
int convention;
Type type;
double rate;
ResposibilityType responsibility;
};
std::vector<Row> table = {
[...]
}
access you do with std::find_if. Tables in databases might be stored like this internally. If you want multiple primary keys you can create for each key a map that maps from the primary key to an element in table. If you want a combined key, you need tuple like this std::map<std::pair<Key1,Key2>, Row*>
How about the matrix type from boost.ublas? You can create a simple enum type to easily reference columns.
For querying you can probably build something quick via the filter_iterator.
Hope this helps!
Edit: Sorry didn't notice your comment. A quick hack I can think of to support dynamic column size is using a hash map for storing column name to column index mapping in a separate hash map. Good luck!
Limiting yourself to maps could overcomplicate this somewhat. If I understand this correctly, the data structure is completely undefined at compile time. In that case perhaps a simpler way to implement it is as a vector of hash-key-value triples, like this:
#include "stdafx.h"
#include <string>
#include <vector>
#include <iostream>
using namespace std;
class HashKeyValue
{
private:
string hash;
string key;
string value;
public:
HashKeyValue() {}
HashKeyValue(string h, string k, string v)
{
hash = h;
key = k;
value = v;
}
string getHash() { return hash; }
string getKey() { return key; }
string getValue() { return value; }
};
class my_table
{
private:
vector<HashKeyValue> hkv;
public:
my_table() {}
void set(string h, string k, string v)
{
hkv.push_back(HashKeyValue(h, k, v));
}
string getV(string h, string k)
{
for (unsigned int i = 0; i < hkv.size(); i++)
{
if (hkv[i].getHash() == h && hkv[i].getKey() == k)
return hkv[i].getValue();
}
return "n/a";
}
string getByColValue(string col1, string val, string col2)
{
string hash;
int got = 0;
for (unsigned int i = 0; i < hkv.size() && !got; i++)
{
if (hkv[i].getKey() == col1 && hkv[i].getValue() == val)
{
hash = hkv[i].getHash();
got = 1;
}
}
if (got)
{
for (unsigned int i = 0; i < hkv.size(); i++)
{
if (hkv[i].getHash() == hash && hkv[i].getKey() == col2)
return hkv[i].getValue();
}
return "n/a";
}
else return "n/a";
}
};
int main()
{
my_table m;
m.set("1", "Tenor", "1D");
m.set("3", "Tenor", "3M");
m.set("3", "Rate", "1.6%");
cout << "get-1-Tenor(1D): " << m.getV("1", "Tenor") << endl;
cout << "get-1-Alto(n/a): " << m.getV("1", "Alto") << endl;
cout << "get-3-Rate(1.6%): " << m.getV("3", "Rate") << endl;
cout << "getBCV-Tenor-3M-Rate(1.6%): " << m.getByColValue("Tenor", "3M", "Rate") << endl;
return 0;
}
Hopefully getByColValue() makes sense; it first looks up the hash, then looks up the Rate for that hash. The hash is what relates each key-value pair to others on the same row. It shouldn't be too tricky to change getByColValue() to return a vector<string> instead, for the getByColValue("Type","Forward","Rate") case: just make hash a vector<string> instead, define the return type as another vector<string>, and a few other tweaks.
This also makes the implementation of getRow() fairly trivial; just loop over hkv where hash==rowid and bung the key/value pairs (or just the values) into a vector.

Where is the operator "<" used in this sample?

I tried STL sample program using "map".
http://ideone.com/LB8xvh
#include <iostream>
#include <map>
#include <cstring>
using namespace std;
class ItemName
{
char name[80];
public:
ItemName(char *s) { strcpy(name, s); }
char *get() { return name; }
};
bool operator<(ItemName a, ItemName b)
{
return strcmp(a.get(), b.get()) < 0;
}
class ItemObj
{
char str[80];
public:
ItemObj(char *s) { strcpy(str, s); }
char *get() { return str; }
};
char itemdata[][80] = {
"potion", "heal HP",
"key", "unlock a door",
"lamp", "light",
};
int main() {
map<ItemName, ItemObj> items;
for(int i=0; i<3; i++) {
items.insert(
pair<ItemName, ItemObj>(
ItemName(itemdata[i*2]),
ItemObj(itemdata[i*2+1]))); // ***** pair *****
}
map<ItemName, ItemObj>::iterator p;
char str[80];
const int kMaxLoop = 5;
int nLoop = 0;
while(nLoop < kMaxLoop) {
cout << "> ";
cin >> str;
p = items.find(str);
if(p != items.end() ) {
cout << p->second.get() << endl;
} else {
cout << "unknown item." << endl;
}
nLoop++;
}
return 0;
}
In this example, I am not quite sure where the operator "<" is used.
If I comment out the definition of the operator "<", I receive lots of errors.
std::map has a parameter to specify how to compare elements in the map (needed because a map always maintains its contents sorted in order by key). By default, that's std::less<T>.
std::less<T>, in turn, will do the comparison using operator<.
You can create a map of items for which operator< isn't defined, but to do it you need to specify the comparison function/functor explicitly.
That said: your ItemData and ItemObj are both really just doing things that std::string can already do. You could reduce most of the code above to something like this:
std::map<std::string, std::string> items{
{ "potion", "heal HP" },
{ "key", "unlock a door" },
{ "lamp", "light" }
};
It is used internally by the map to place and find entries. Otherwise, find would have to compare the key you supply it against literally every single other entry one by one and you couldn't iterate the map in key order.
Basically, maps efficiently store elements in order. To do that, they have to have some way to know what the order is, and they do that by calling operator< (unless you specify otherwise).