Classes and Objects
Classes and objects are both defined in terms of templates.
Templates
A template defines the type signature, behavior and initial state of a
trait or class of objects or of a single object. Templates form part of
instance creation expressions, class definitions, and object
definitions. A template
$sc$ with $mt_1$ with $\ldots$ with $mt_n$ { $\mathit{stats}$ }
consists of a constructor invocation $sc$
which defines the template's superclass, trait references
$mt_1 , \ldots , mt_n$
$(n \geq 0)$, which define the
template's traits, and a statement sequence $\mathit{stats}$ which
contains initialization code and additional member definitions for the
template.
Each trait reference $mt_i$ must denote a trait.
By contrast, the superclass constructor $sc$ normally refers to a
class which is not a trait. It is possible to write a list of
parents that starts with a trait reference, e.g.
$mt_1$ with $\ldots$ with $mt_n$
. In that case the list
of parents is implicitly extended to include the supertype of $mt_1$
as first parent type. The new supertype must have at least one
constructor that does not take parameters. In the following, we will
always assume that this implicit extension has been performed, so that
the first parent class of a template is a regular superclass
constructor, not a trait reference.
The list of parents of a template must be well-formed. This means that the class denoted by the superclass constructor $sc$ must be a subclass of the superclasses of all the traits $mt_1 , \ldots , mt_n$. In other words, the non-trait classes inherited by a template form a chain in the inheritance hierarchy which starts with the template's superclass.
The least proper supertype of a template is the class type or compound type consisting of all its parent class types.
The statement sequence $\mathit{stats}$ contains member definitions that define new members or overwrite members in the parent classes. If the template forms part of an abstract class or trait definition, the statement part $\mathit{stats}$ may also contain declarations of abstract members. If the template forms part of a concrete class definition, $\mathit{stats}$ may still contain declarations of abstract type members, but not of abstract term members. Furthermore, $\mathit{stats}$ may in any case also contain expressions; these are executed in the order they are given as part of the initialization of a template.
The sequence of template statements may be prefixed with a formal
parameter definition and an arrow, e.g. $x$ =>
, or
$x$:$T$ =>
. If a formal parameter is given, it can be
used as an alias for the reference this
throughout the
body of the template.
If the formal parameter comes with a type $T$, this definition affects
the self type $S$ of the underlying class or object as follows: Let $C$ be the type
of the class or trait or object defining the template.
If a type $T$ is given for the formal self parameter, $S$
is the greatest lower bound of $T$ and $C$.
If no type $T$ is given, $S$ is just $C$.
Inside the template, the type of this
is assumed to be $S$.
The self type of a class or object must conform to the self types of all classes which are inherited by the template $t$.
A second form of self type annotation reads just
this: $S$ =>
. It prescribes the type $S$ for this
without introducing an alias name for it.
Example
Consider the following class definitions:
In this case, the definition of O
is expanded to:
Inheriting from Java Types A template may have a Java class as its superclass and Java interfaces as its mixins.
Template Evaluation Consider a template $sc$ with $mt_1$ with $mt_n$ { $\mathit{stats}$ }
.
If this is the template of a trait then its mixin-evaluation consists of an evaluation of the statement sequence $\mathit{stats}$.
If this is not a template of a trait, then its evaluation consists of the following steps.
- First, the superclass constructor $sc$ is evaluated.
- Then, all base classes in the template's linearization up to the template's superclass denoted by $sc$ are mixin-evaluated. Mixin-evaluation happens in reverse order of occurrence in the linearization.
- Finally the statement sequence $\mathit{stats}\,$ is evaluated.
Delayed Initialization
The initialization code of an object or class (but not a trait) that follows
the superclass
constructor invocation and the mixin-evaluation of the template's base
classes is passed to a special hook, which is inaccessible from user
code. Normally, that hook simply executes the code that is passed to
it. But templates inheriting the scala.DelayedInit
trait
can override the hook by re-implementing the delayedInit
method, which is defined as follows:
Constructor Invocations
Constructor invocations define the type, members, and initial state of
objects created by an instance creation expression, or of parts of an
object's definition which are inherited by a class or object
definition. A constructor invocation is a function application
$x$.$c$[$\mathit{targs}$]($\mathit{args}_1$)$\ldots$($\mathit{args}_n$)
, where $x$ is a
stable identifier, $c$ is a type name which either designates a
class or defines an alias type for one, $\mathit{targs}$ is a type argument
list, $\mathit{args}_1 , \ldots , \mathit{args}_n$ are argument lists, and there is a
constructor of that class which is applicable
to the given arguments. If the constructor invocation uses named or
default arguments, it is transformed into a block expression using the
same transformation as described here.
The prefix $x$.
can be omitted. A type argument list
can be given only if the class $c$ takes type parameters. Even then
it can be omitted, in which case a type argument list is synthesized
using local type inference. If no explicit
arguments are given, an empty list ()
is implicitly supplied.
An evaluation of a constructor invocation
$x$.$c$[$\mathit{targs}$]($\mathit{args}_1$)$\ldots$($\mathit{args}_n$)
consists of the following steps:
- First, the prefix $x$ is evaluated.
- Then, the arguments $\mathit{args}_1 , \ldots , \mathit{args}_n$ are evaluated from left to right.
- Finally, the class being constructed is initialized by evaluating the template of the class referred to by $c$.
Class Linearization
The classes reachable through transitive closure of the direct inheritance relation from a class $C$ are called the base classes of $C$. Because of mixins, the inheritance relationship on base classes forms in general a directed acyclic graph. A linearization of this graph is defined as follows.
Definition: linearization
Let $C$ be a class with template
$C_1$ with ... with $C_n$ { $\mathit{stats}$ }
.
The linearization of $C$, $\mathcal{L}(C)$ is defined as follows:
$$\mathcal{L}(C) = C, \mathcal{L}(C_n) \; \vec{+} \; \ldots \; \vec{+} \; \mathcal{L}(C_1)$$
Here $\vec{+}$ denotes concatenation where elements of the right operand replace identical elements of the left operand:
$$ \begin{array}{lcll} {a, A} \;\vec{+}\; B &=& a, (A \;\vec{+}\; B) &{\bf if} \; a \not\in B \\ &=& A \;\vec{+}\; B &{\bf if} \; a \in B \end{array} $$
Example
Consider the following class definitions.
Then the linearization of class Iter
is
Note that the linearization of a class refines the inheritance relation: if $C$ is a subclass of $D$, then $C$ precedes $D$ in any linearization where both $C$ and $D$ occur. Linearization also satisfies the property that a linearization of a class always contains the linearization of its direct superclass as a suffix.
For instance, the linearization of StringIterator
is
which is a suffix of the linearization of its subclass Iter
.
The same is not true for the linearization of mixins.
For instance, the linearization of RichIterator
is
which is not a suffix of the linearization of Iter
.
Class Members
A class $C$ defined by a template $C_1$ with $\ldots$ with $C_n$ { $\mathit{stats}$ }
can define members in its statement sequence
$\mathit{stats}$ and can inherit members from all parent classes. Scala
adopts Java and C#'s conventions for static overloading of
methods. It is thus possible that a class defines and/or inherits
several methods with the same name. To decide whether a defined
member of a class $C$ overrides a member of a parent class, or whether
the two co-exist as overloaded variants in $C$, Scala uses the
following definition of matching on members:
Definition: matching
A member definition $M$ matches a member definition $M'$, if $M$ and $M'$ bind the same name, and one of following holds.
- Neither $M$ nor $M'$ is a method definition.
- $M$ and $M'$ define both monomorphic methods with equivalent argument types.
- $M$ defines a parameterless method and $M'$ defines a method
with an empty parameter list
()
or vice versa. - $M$ and $M'$ define both polymorphic methods with equal number of argument types $\overline T$, $\overline T'$ and equal numbers of type parameters $\overline t$, $\overline t'$, say, and $\overline T' = [\overline t'/\overline t]\overline T$.
Member definitions fall into two categories: concrete and abstract. Members of class $C$ are either directly defined (i.e. they appear in $C$'s statement sequence $\mathit{stats}$) or they are inherited. There are two rules that determine the set of members of a class, one for each category:
A concrete member of a class $C$ is any concrete definition $M$ in some class $C_i \in \mathcal{L}(C)$, except if there is a preceding class $C_j \in \mathcal{L}(C)$ where $j < i$ which directly defines a concrete member $M'$ matching $M$.
An abstract member of a class $C$ is any abstract definition $M$ in some class $C_i \in \mathcal{L}(C)$, except if $C$ contains already a concrete member $M'$ matching $M$, or if there is a preceding class $C_j \in \mathcal{L}(C)$ where $j < i$ which directly defines an abstract member $M'$ matching $M$.
This definition also determines the overriding relationships between matching members of a class $C$ and its parents. First, a concrete definition always overrides an abstract definition. Second, for definitions $M$ and $M$' which are both concrete or both abstract, $M$ overrides $M'$ if $M$ appears in a class that precedes (in the linearization of $C$) the class in which $M'$ is defined.
It is an error if a template directly defines two matching members. It is also an error if a template contains two members (directly defined or inherited) with the same name and the same erased type. Finally, a template is not allowed to contain two methods (directly defined or inherited) with the same name which both define default arguments.
Example
Consider the trait definitions:
Then trait D
has a directly defined abstract member h
. It
inherits member f
from trait C
and member g
from
trait B
.
Overriding
A member $M$ of class $C$ that matches a non-private member $M'$ of a base class of $C$ is said to override that member. In this case the binding of the overriding member $M$ must subsume the binding of the overridden member $M'$. Furthermore, the following restrictions on modifiers apply to $M$ and $M'$:
- $M'$ must not be labeled
final
. - $M$ must not be
private
. - If $M$ is labeled
private[$C$]
for some enclosing class or package $C$, then $M'$ must be labeledprivate[$C'$]
for some class or package $C'$ where $C'$ equals $C$ or $C'$ is contained in $C$.
- If $M$ is labeled
protected
, then $M'$ must also be labeledprotected
. - If $M'$ is not an abstract member, then $M$ must be labeled
override
. Furthermore, one of two possibilities must hold:- either $M$ is defined in a subclass of the class where is $M'$ is defined,
- or both $M$ and $M'$ override a third member $M''$ which is defined in a base class of both the classes containing $M$ and $M'$
- If $M'$ is incomplete in $C$ then $M$ must be
labeled
abstract override
. If $M$ and $M'$ are both concrete value definitions, then either none of them is marked
lazy
or both must be markedlazy
.A stable member can only be overridden by a stable member. For example, this is not allowed:
Another restriction applies to abstract type members: An abstract type member with a volatile type as its upper bound may not override an abstract type member which does not have a volatile upper bound.
A special rule concerns parameterless methods. If a parameterless
method defined as def $f$: $T$ = ...
or def $f$ = ...
overrides a method of
type $()T'$ which has an empty parameter list, then $f$ is also
assumed to have an empty parameter list.
An overriding method inherits all default arguments from the definition in the superclass. By specifying default arguments in the overriding method it is possible to add new defaults (if the corresponding parameter in the superclass does not have a default) or to override the defaults of the superclass (otherwise).
Example
Consider the definitions:
Then the class definition C
is not well-formed because the
binding of T
in C
is
type T <: B
,
which fails to subsume the binding type T <: A
of T
in type A
. The problem can be solved by adding an overriding
definition of type T
in class C
:
Inheritance Closure
Let $C$ be a class type. The inheritance closure of $C$ is the smallest set $\mathscr{S}$ of types such that
- $C$ is in $\mathscr{S}$.
- If $T$ is in $\mathscr{S}$, then every type $T'$ which forms syntactically a part of $T$ is also in $\mathscr{S}$.
- If $T$ is a class type in $\mathscr{S}$, then all parents of $T$ are also in $\mathscr{S}$.
It is a static error if the inheritance closure of a class type consists of an infinite number of types. (This restriction is necessary to make subtyping decidable1).
Early Definitions
A template may start with an early field definition clause, which serves to define certain field values before the supertype constructor is called. In a template
The initial pattern definitions of $p_1 , \ldots , p_n$ are called early definitions. They define fields which form part of the template. Every early definition must define at least one variable.
An early definition is type-checked and evaluated in the scope which
is in effect just before the template being defined, augmented by any
type parameters of the enclosing class and by any early definitions
preceding the one being defined. In particular, any reference to
this
in the right-hand side of an early definition refers
to the identity of this
just outside the template. Consequently, it
is impossible that an early definition refers to the object being
constructed by the template, or refers to one of its fields and
methods, except for any other preceding early definition in the same
section. Furthermore, references to preceding early definitions
always refer to the value that's defined there, and do not take into account
overriding definitions. In other words, a block of early definitions
is evaluated exactly as if it was a local bock containing a number of value
definitions.
Early definitions are evaluated in the order they are being defined before the superclass constructor of the template is called.
Example
Early definitions are particularly useful for traits, which do not have normal constructor parameters. Example:
In the code above, the field name
is initialized before the
constructor of Greeting
is called. Therefore, field msg
in
class Greeting
is properly initialized to "How are you, Bob"
.
If name
had been initialized instead in C
's normal class
body, it would be initialized after the constructor of
Greeting
. In that case, msg
would be initialized to
"How are you, <null>"
.
Modifiers
Member definitions may be preceded by modifiers which affect the accessibility and usage of the identifiers bound by them. If several modifiers are given, their order does not matter, but the same modifier may not occur more than once. Modifiers preceding a repeated definition apply to all constituent definitions. The rules governing the validity and meaning of a modifier are as follows.
private
The private
modifier can be used with any definition or
declaration in a template. Such members can be accessed only from
within the directly enclosing template and its companion module or
companion class.
A private
modifier can be qualified with an identifier $C$ (e.g.
private[$C$]
) that must denote a class or package enclosing the definition.
Members labeled with such a modifier are accessible respectively only from code
inside the package $C$ or only from code inside the class $C$ and its
companion module.
A different form of qualification is private[this]
. A member
$M$ marked with this modifier is called object-protected; it can be accessed only from within
the object in which it is defined. That is, a selection $p.M$ is only
legal if the prefix is this
or $O$.this
, for some
class $O$ enclosing the reference. In addition, the restrictions for
unqualified private
apply.
Members marked private without a qualifier are called class-private,
whereas members labeled with private[this]
are called object-private. A member is private if it is
either class-private or object-private, but not if it is marked
private[$C$]
where $C$ is an identifier; in the latter
case the member is called qualified private.
Class-private or object-private members may not be abstract, and may
not have protected
or override
modifiers. They are not inherited
by subclasses and they may not override definitions in parent classes.
protected
The protected
modifier applies to class member definitions.
Protected members of a class can be accessed from within
- the template of the defining class,
- all templates that have the defining class as a base class,
- the companion module of any of those classes.
A protected
modifier can be qualified with an identifier $C$ (e.g.
protected[$C$]
) that must denote a class or package enclosing the definition.
Members labeled with such a modifier are also accessible respectively from all
code inside the package $C$ or from all code inside the class $C$ and its
companion module.
A protected identifier $x$ may be used as a member name in a selection
$r$.$x$
only if one of the following applies:
- The access is within the template defining the member, or, if a qualification $C$ is given, inside the package $C$, or the class $C$, or its companion module, or
- $r$ is one of the reserved words
this
andsuper
, or - $r$'s type conforms to a type-instance of the class which contains the access.
A different form of qualification is protected[this]
. A member
$M$ marked with this modifier is called object-protected; it can be accessed only from within
the object in which it is defined. That is, a selection $p.M$ is only
legal if the prefix is this
or $O$.this
, for some
class $O$ enclosing the reference. In addition, the restrictions for
unqualified protected
apply.
override
The override
modifier applies to class member definitions or declarations.
It is mandatory for member definitions or declarations that override some
other concrete member definition in a parent class. If an override
modifier is given, there must be at least one overridden member
definition or declaration (either concrete or abstract).
abstract override
The override
modifier has an additional significance when
combined with the abstract
modifier. That modifier combination
is only allowed for value members of traits.
We call a member $M$ of a template incomplete if it is either
abstract (i.e. defined by a declaration), or it is labeled
abstract
and override
and
every member overridden by $M$ is again incomplete.
Note that the abstract override
modifier combination does not
influence the concept whether a member is concrete or abstract. A
member is abstract if only a declaration is given for it;
it is concrete if a full definition is given.
abstract
The abstract
modifier is used in class definitions. It is
redundant for traits, and mandatory for all other classes which have
incomplete members. Abstract classes cannot be
instantiated with a constructor invocation
unless followed by mixins and/or a refinement which override all
incomplete members of the class. Only abstract classes and traits can have
abstract term members.
The abstract
modifier can also be used in conjunction with
override
for class member definitions. In that case the
previous discussion applies.
final
The final
modifier applies to class member definitions and to
class definitions. A final
class member definition may not be
overridden in subclasses. A final
class may not be inherited by
a template. final
is redundant for object definitions. Members
of final classes or objects are implicitly also final, so the
final
modifier is generally redundant for them, too. Note, however, that
constant value definitions
do require an explicit final
modifier,
even if they are defined in a final class or object.
final
is permitted for abstract classes
but it may not be applied to traits or incomplete members,
and it may not be combined in one modifier list with sealed
.
sealed
The sealed
modifier applies to class definitions. A
sealed
class may not be directly inherited, except if the inheriting
template is defined in the same source file as the inherited class.
However, subclasses of a sealed class can be inherited anywhere.
lazy
The lazy
modifier applies to value definitions. A lazy
value is initialized the first time it is accessed (which might never
happen at all). Attempting to access a lazy value during its
initialization might lead to looping behavior. If an exception is
thrown during initialization, the value is considered uninitialized,
and a later access will retry to evaluate its right hand side.
Example
The following code illustrates the use of qualified private:
Here, accesses to the method f
can appear anywhere within
Outer
, but not outside it. Accesses to method
g
can appear anywhere within the package
outerpkg.innerpkg
, as would be the case for
package-private methods in Java. Finally, accesses to method
h
can appear anywhere within package outerpkg
,
including packages contained in it.
Example
A useful idiom to prevent clients of a class from
constructing new instances of that class is to declare the class
abstract
and sealed
:
For instance, in the code above clients can create instances of class
m.C
only by calling the nextC
method of an existing m.C
object; it is not possible for clients to create objects of class
m.C
directly. Indeed the following two lines are both in error:
A similar access restriction can be achieved by marking the primary
constructor private
(example).
Class Definitions
The most general form of class definition is
Here,
- $c$ is the name of the class to be defined.
- $\mathit{tps}$ is a non-empty list of type parameters of the class
being defined. The scope of a type parameter is the whole class
definition including the type parameter section itself. It is
illegal to define two type parameters with the same name. The type
parameter section
[$\mathit{tps}\,$]
may be omitted. A class with a type parameter section is called polymorphic, otherwise it is called monomorphic. - $as$ is a possibly empty sequence of annotations. If any annotations are given, they apply to the primary constructor of the class.
- $m$ is an access modifier such as
private
orprotected
, possibly with a qualification. If such an access modifier is given it applies to the primary constructor of the class. $(\mathit{ps}_1)\ldots(\mathit{ps}_n)$ are formal value parameter clauses for the primary constructor of the class. The scope of a formal value parameter includes all subsequent parameter sections and the template $t$. However, a formal value parameter may not form part of the types of any of the parent classes or members of the class template $t$. It is illegal to define two formal value parameters with the same name.
If a class has no formal parameter section that is not implicit, an empty parameter section
()
is assumed.If a formal parameter declaration $x: T$ is preceded by a
val
orvar
keyword, an accessor (getter) definition for this parameter is implicitly added to the class.The getter introduces a value member $x$ of class $c$ that is defined as an alias of the parameter. If the introducing keyword is
var
, a setter accessor$x$_=
is also implicitly added to the class. In invocation of that setter$x$_=($e$)
changes the value of the parameter to the result of evaluating $e$.The formal parameter declaration may contain modifiers, which then carry over to the accessor definition(s). When access modifiers are given for a parameter, but no
val
orvar
keyword,val
is assumed. A formal parameter prefixed byval
orvar
may not at the same time be a call-by-name parameter.$t$ is a template of the form
which defines the base classes, behavior and initial state of objects of the class. The extends clause
extends $sc$ with $mt_1$ with $\ldots$ with $mt_m$
can be omitted, in which caseextends scala.AnyRef
is assumed. The class body{ $\mathit{stats}$ }
may also be omitted, in which case the empty body{}
is assumed.
This class definition defines a type $c$[$\mathit{tps}\,$]
and a constructor
which when applied to parameters conforming to types $\mathit{ps}$
initializes instances of type $c$[$\mathit{tps}\,$]
by evaluating the template
$t$.
Example – val
and var
parameters
The following example illustrates val
and var
parameters of a class C
:
Example – Private Constructor
The following class can be created only from its companion module.
Constructor Definitions
A class may have additional constructors besides the primary
constructor. These are defined by constructor definitions of the form
def this($\mathit{ps}_1$)$\ldots$($\mathit{ps}_n$) = $e$
. Such a
definition introduces an additional constructor for the enclosing
class, with parameters as given in the formal parameter lists $\mathit{ps}_1
, \ldots , \mathit{ps}_n$, and whose evaluation is defined by the constructor
expression $e$. The scope of each formal parameter is the subsequent
parameter sections and the constructor
expression $e$. A constructor expression is either a self constructor
invocation this($\mathit{args}_1$)$\ldots$($\mathit{args}_n$)
or a block
which begins with a self constructor invocation. The self constructor
invocation must construct a generic instance of the class. I.e. if the
class in question has name $C$ and type parameters
[$\mathit{tps}\,$]
, then a self constructor invocation must
generate an instance of $C$[$\mathit{tps}\,$]
; it is not permitted
to instantiate formal type parameters.
The signature and the self constructor invocation of a constructor definition are type-checked and evaluated in the scope which is in effect at the point of the enclosing class definition, augmented by any type parameters of the enclosing class and by any early definitions of the enclosing template. The rest of the constructor expression is type-checked and evaluated as a function body in the current class.
If there are auxiliary constructors of a class $C$, they form together with $C$'s primary constructor an overloaded constructor definition. The usual rules for overloading resolution apply for constructor invocations of $C$, including for the self constructor invocations in the constructor expressions themselves. However, unlike other methods, constructors are never inherited. To prevent infinite cycles of constructor invocations, there is the restriction that every self constructor invocation must refer to a constructor definition which precedes it (i.e. it must refer to either a preceding auxiliary constructor or the primary constructor of the class).
Example
Consider the class definition
This defines a class LinkedList
with three constructors. The
second constructor constructs an singleton list, while the
third one constructs a list with a given head and tail.
Case Classes
If a class definition is prefixed with case
, the class is said
to be a case class.
A case class is required to have a parameter section that is not implicit.
The formal parameters in the first parameter section
are called elements and are treated specially.
First, the value of such a parameter can be extracted as a
field of a constructor pattern. Second, a val
prefix is
implicitly added to such a parameter, unless the parameter already carries
a val
or var
modifier. Hence, an accessor
definition for the parameter is generated.
A case class definition of $c$[$\mathit{tps}\,$]($\mathit{ps}_1\,$)$\ldots$($\mathit{ps}_n$)
with type
parameters $\mathit{tps}$ and value parameters $\mathit{ps}$ implies
the definition of a companion object, which serves as an extractor object. It has the following shape:
Here, $\mathit{Ts}$ stands for the vector of types defined in the type
parameter section $\mathit{tps}$,
each $\mathit{xs}_i$ denotes the parameter names of the parameter
section $\mathit{ps}_i$, and
$\mathit{xs}_{11}, \ldots , \mathit{xs}_{1k}$ denote the names of all parameters
in the first parameter section $\mathit{xs}_1$.
If a type parameter section is missing in the class, it is also missing in the apply
and unapply
methods.
If the companion object $c$ is already defined,
the apply
and unapply
methods are added to the existing object.
If the object $c$ already has a matching
apply
(or unapply
) member, no new definition is added.
The definition of apply
is omitted if class $c$ is abstract
.
If the case class definition contains an empty value parameter list, the
unapply
method returns a Boolean
instead of an Option
type and
is defined as follows:
The name of the unapply
method is changed to unapplySeq
if the first
parameter section $\mathit{ps}_1$ of $c$ ends in a
repeated parameter.
A method named copy
is implicitly added to every case class unless the
class already has a member (directly defined or inherited) with that name, or the
class has a repeated parameter. The method is defined as follows:
Again, $\mathit{Ts}$
stands for the vector of types defined in the type parameter section $\mathit{tps}$
and each $xs_i$
denotes the parameter names of the parameter section $ps'_i$
. The value
parameters $ps'_{1,j}$
of first parameter list have the form $x_{1,j}$:$T_{1,j}$=this.$x_{1,j}$
,
the other parameters $ps'_{i,j}$
of the copy
method are defined as $x_{i,j}$:$T_{i,j}$
.
In all cases $x_{i,j}$
and $T_{i,j}$
refer to the name and type of the corresponding class parameter
$\mathit{ps}_{i,j}$
.
Every case class implicitly overrides some method definitions of class
scala.AnyRef
unless a definition of the same
method is already given in the case class itself or a concrete
definition of the same method is given in some base class of the case
class different from AnyRef
. In particular:
- Method
equals: (Any)Boolean
is structural equality, where two instances are equal if they both belong to the case class in question and they have equal (with respect toequals
) constructor arguments (restricted to the class's elements, i.e., the first parameter section). - Method
hashCode: Int
computes a hash-code. If the hashCode methods of the data structure members map equal (with respect to equals) values to equal hash-codes, then the case class hashCode method does too. - Method
toString: String
returns a string representation which contains the name of the class and its elements.
Example
Here is the definition of abstract syntax for lambda calculus:
This defines a class Expr
with case classes
Var
, Apply
and Lambda
. A call-by-value evaluator
for lambda expressions could then be written as follows.
It is possible to define further case classes that extend type
Expr
in other parts of the program, for instance
This form of extensibility can be excluded by declaring the base class
Expr
sealed
; in this case, all classes that
directly extend Expr
must be in the same source file as
Expr
.
Traits
A trait is a class that is meant to be added to some other class as a mixin. Unlike normal classes, traits cannot have constructor parameters. Furthermore, no constructor arguments are passed to the superclass of the trait. This is not necessary as traits are initialized after the superclass is initialized.
Assume a trait $D$ defines some aspect of an instance $x$ of type $C$ (i.e. $D$ is a base class of $C$).
Then the actual supertype of $D$ in $x$ is the compound type consisting of all the
base classes in $\mathcal{L}(C)$ that succeed $D$. The actual supertype gives
the context for resolving a super
reference in a trait.
Note that the actual supertype depends on the type to which the trait is added in a mixin composition;
it is not statically known at the time the trait is defined.
If $D$ is not a trait, then its actual supertype is simply its least proper supertype (which is statically known).
Example
The following trait defines the property
of being comparable to objects of some type. It contains an abstract
method <
and default implementations of the other
comparison operators <=
, >
, and
>=
.
Example
Consider an abstract class Table
that implements maps
from a type of keys A
to a type of values B
. The class
has a method set
to enter a new key / value pair into the table,
and a method get
that returns an optional value matching a
given key. Finally, there is a method apply
which is like
get
, except that it returns a given default value if the table
is undefined for the given key. This class is implemented as follows.
Here is a concrete implementation of the Table
class.
Here is a trait that prevents concurrent access to the
get
and set
operations of its parent class:
Note that SynchronizedTable
does not pass an argument to
its superclass, Table
, even though Table
is defined with a
formal parameter. Note also that the super
calls
in SynchronizedTable
's get
and set
methods
statically refer to abstract methods in class Table
. This is
legal, as long as the calling method is labeled
abstract override
.
Finally, the following mixin composition creates a synchronized list
table with strings as keys and integers as values and with a default
value 0
:
The object MyTable
inherits its get
and set
method from SynchronizedTable
. The super
calls in these
methods are re-bound to refer to the corresponding implementations in
ListTable
, which is the actual supertype of SynchronizedTable
in MyTable
.
Object Definitions
An object definition defines a single object of a new class. Its
most general form is
object $m$ extends $t$
. Here,
$m$ is the name of the object to be defined, and
$t$ is a template of the form
which defines the base classes, behavior and initial state of $m$.
The extends clause extends $sc$ with $mt_1$ with $\ldots$ with $mt_n$
can be omitted, in which case
extends scala.AnyRef
is assumed. The class body
{ $\mathit{stats}$ }
may also be omitted, in which case the empty body
{}
is assumed.
The object definition defines a single object (or: module) conforming to the template $t$. It is roughly equivalent to the following definition of a lazy value:
Note that the value defined by an object definition is instantiated
lazily. The new $m$\$cls
constructor is evaluated
not at the point of the object definition, but is instead evaluated
the first time $m$ is dereferenced during execution of the program
(which might be never at all). An attempt to dereference $m$ again
during evaluation of the constructor will lead to an infinite loop
or run-time error.
Other threads trying to dereference $m$ while the
constructor is being evaluated block until evaluation is complete.
The expansion given above is not accurate for top-level objects. It cannot be because variable and method definition cannot appear on the top-level outside of a package object. Instead, top-level objects are translated to static fields.
Example
Classes in Scala do not have static members; however, an equivalent effect can be achieved by an accompanying object definition E.g.
This defines a class Point
and an object Point
which
contains origin
as a member. Note that the double use of the
name Point
is legal, since the class definition defines the
name Point
in the type name space, whereas the object
definition defines a name in the term namespace.
This technique is applied by the Scala compiler when interpreting a Java class with static members. Such a class $C$ is conceptually seen as a pair of a Scala class that contains all instance members of $C$ and a Scala object that contains all static members of $C$.
Generally, a companion module of a class is an object which has the same name as the class and is defined in the same scope and compilation unit. Conversely, the class is called the companion class of the module.
Very much like a concrete class definition, an object definition may still contain declarations of abstract type members, but not of abstract term members.
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Kennedy, Pierce. On Decidability of Nominal Subtyping with Variance. in FOOL 2007 ↩