multi_index_container
s
with ctor_args_list
See source code.
Basic program showing the multi-indexing capabilities of Boost.MultiIndex
with an admittedly boring set of employee
records.
See source code.
Usually keys assigned to an index are based on a member variable of the
element, but key extractors can be defined which take their value from
a member function. This has some similarity with the concept of
calculated keys supported by some relational database engines.
The example shows how to use the predefined const_mem_fun
key extractor to deal with this situation.
Keys based on member functions usually will not be actual references,
but rather the temporary values resulting from the invocation of the
member function used. This implies that modify_key
cannot be
applied to this type of extractors, which is a perfectly logical
constraint anyway.
multi_index_container
s
with ctor_args_list
See source code.
We show a practical example of usage of multi_index_container::ctor_arg_list
,
whose definition and purpose are explained in the
tutorial. The
program groups a sorted collection of numbers based on identification through
modulo arithmetics, by which x
and y
are equivalent
if (x%n)==(y%n)
, for some fixed n
.
See source code.
This example shows how to construct a bidirectional map with
multi_index_container
. By a bidirectional map we mean
a container of elements of std::pair<const FromType,const ToType>
such that no two elements exists with the same first
or second
value (std::map
only
guarantees uniqueness of the first member). Fast lookup is provided
for both keys. The program features a tiny Spanish-English
dictionary with online query of words in both languages.
See source code.
The combination of a sequenced index with an index of type ordered_non_unique
yields a list
-like structure with fast lookup capabilities. The
example performs some operations on a given text, like word counting and
selective deletion of some words.
See source code.
This program illustrates some advanced techniques that can be applied
for complex data structures using multi_index_container
.
Consider a car_model
class for storing information
about automobiles. On a first approach, car_model
can
be defined as:
struct car_model { std::string model; std::string manufacturer; int price; };
This definition has a design flaw that any reader acquainted with
relational databases can easily spot: The manufacturer
member is duplicated among all cars having the same manufacturer.
This is a waste of space and poses difficulties when, for instance,
the name of a manufacturer has to be changed. Following the usual
principles in relational database design, the appropriate design
involves having the manufactures stored in a separate
multi_index_container
and store pointers to these in
car_model
:
struct car_manufacturer { std::string name; }; struct car_model { std::string model; car_manufacturer* manufacturer; int price; };
Although predefined Boost.MultiIndex key extractors can handle many situations involving pointers (see advanced features of Boost.MultiIndex key extractors in the tutorial), this case is complex enough that a suitable key extractor has to be defined. The following utility cascades two key extractors:
template<class KeyExtractor1,class KeyExtractor2> struct key_from_key { public: typedef typename KeyExtractor1::result_type result_type; key_from_key( const KeyExtractor1& key1_=KeyExtractor1(), const KeyExtractor2& key2_=KeyExtractor2()): key1(key1_),key2(key2_) {} template<typename Arg> result_type operator()(Arg& arg)const { return key1(key2(arg)); } private: KeyExtractor1 key1; KeyExtractor2 key2; };
so that access from a car_model
to the name
field
of its associated car_manufacturer
can be accomplished with
key_from_key< member<car_manufacturer,const std::string,&car_manufacturer::name>, member<car_model,const car_manufacturer *,car_model::manufacturer> >
The program asks the user for a car manufacturer and a range of prices and returns the car models satisfying these requirements. This is a complex search that cannot be performed on a single operation. Broadly sketched, one procedure for executing the selection is:
equal_range
,
multi_index_container
sorted
by price,
lower_bound
and
upper_bound
;
lower_bound
and upper_bound
,
multi_index_container
sorted
by manufacturer,
equal_range
.
multi_index_container
.
In order to avoid object copying, appropriate view types
are defined with multi_index_container
s having as elements
pointers to car_model
s instead of actual objects.
These views have to be supplemented with appropriate
dereferencing key extractors.
See source code.
Boost.MultiIndex
composite_key
construct provides a flexible tool for
creating indices with non-trivial sorting criteria.
The program features a rudimentary simulation of a file system
along with an interactive Unix-like shell. A file entry is represented by
the following structure:
struct file_entry { std::string name; unsigned size; bool is_dir; // true if the entry is a directory const file_entry* dir; // directory this entry belongs in };
Entries are kept in a multi_index_container
maintaining two indices
with composite keys:
ls
. The shell simulation only has three
commands:
cd [.|..|<directory>]
ls [-s]
(-s
orders the output by size)mkdir <directory>
The reader is challenged to add more functionality to the program; for instance:
cp
.See source code.
Hashed indices can be used as an alternative to ordered indices when fast lookup is needed and sorting information is of no interest. The example features a word counter where duplicate entries are checked by means of a hashed index. Confront the word counting algorithm with that of example 5.
See source code.
A typical application of serialization capabilities allows a program to
restore the user context between executions. The example program asks
the user for words and keeps a record of the ten most recently entered
ones, in the current or in previous sessions. The serialized data structure,
sometimes called an MRU (most recently used) list, has some interest
on its own: an MRU list behaves as a regular FIFO queue, with the exception
that, when inserting a preexistent entry, this does not appear twice, but
instead the entry is moved to the front of the list. You can observe this
behavior in many programs featuring a "Recent files" menu command. This
data structure is implemented with multi_index_container
by
combining a sequenced index and an index of type hashed_unique
.
See source code.
The example resumes the text container introduced in example 5 and shows how substituting a random access index for a sequenced index allows for extra capabilities like efficient access by position and calculation of the offset of a given element into the container.
See source code.
There is a relatively common piece of urban lore claiming that a deck of cards must be shuffled seven times in a row to be perfectly mixed. The statement derives from the works of mathematician Persi Diaconis on riffle shuffling: this shuffling technique involves splitting the deck in two packets roughly the same size and then dropping the cards from both packets so that they become interleaved. It has been shown that when repeating this procedure seven times the statistical distribution of cards is reasonably close to that associated with a truly random permutation. A measure of "randomness" can be estimated by counting rising sequences: consider a permutation of the sequence 1,2, ... , n, a rising sequence is a maximal chain of consecutive elements m, m+1, ... , m+r such that they are arranged in ascending order. For instance, the permutation 125364789 is composed of the two rising sequences 1234 and 56789, as becomes obvious by displaying the sequence like this, 125364789. The average number of rising sequences in a random permutation of n elements is (n+1)/2: by contrast, after a single riffle shuffle of an initially sorted deck of cards, there cannot be more than two rising sequences. The average number of rising sequences approximates to (n+1)/2 as the number of consecutive riffle shuffles increases, with seven shuffles yielding a close result for a 52-card poker deck. Brad Mann's paper "How many times should you shuffle a deck of cards?" provides a rigorous yet very accessible treatment of this subject.
The example program estimates the average number of rising sequences in a 52-card deck after repeated riffle shuffling as well as applying a completely random permutation. The deck is modeled by the following container:
where the first index stores the current arrangement of the deck, while the second index is used to remember the start position. This representation allows for an efficient implementation of a rising sequences counting algorithm in linear time.multi_index_container< int, indexed_by< random_access<>, random_access<> > >
rearrange
is used to apply to the deck a shuffle performed externally on an
auxiliary data structure.
Revised March 3rd 2006
© Copyright 2003-2006 Joaquín M López Muñoz. Distributed under the Boost Software License, Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)