Structure of Programming Languages Names, Bindings, Type Checking, and Scopes

2 The Concept of Variables What do x = 1 ; and x = x + 1; mean? –“=“ is not the equal sign of mathematics! –“x=1” does not mean “x is one” ! “x” is the name of a variable; refer to a variable –A variable is an abstraction of a memory cell –“x” is an identifier (name) refers to a location where certain values can be stored.

1-3 Variables A variable is an abstraction of a memory cell Variables can be characterized as a sextuple of attributes: –Name –Address –Value –Type –Lifetime –Scope

1-4 Variables Attributes Name - not all variables have them Address - the memory address with which it is associated –A variable may have different addresses at different times during execution –A variable may have different addresses at different places in a program –If two variable names can be used to access the same memory location, they are called aliases –Aliases are created via pointers, reference variables, C and C++ unions

1-5 Variables Attributes (continued) Type - determines the range of values of variables and the set of operations that are defined for values of that type; in the case of floating point, type also determines the precision Value - the contents of the location with which the variable is associated Abstract memory cell - the physical cell or collection of cells associated with a variable

1-6 Names Length –Language examples: FORTRAN I: maximum 6 COBOL: maximum 30 FORTRAN 90 and ANSI C: maximum 31 Ada and Java: no limit, and all are significant C++: no limit, but implementers often impose one

1-7 Names (continued) Connectors –Pascal, Modula-2, and FORTRAN 77 don't allow –Others do

1-8 Names (continued) Case sensitivity –Disadvantage: readability (names that look alike are different) worse in C++ and Java because predefined names are mixed case (e.g. IndexOutOfBoundsException ) –C, C++, and Java names are case sensitive The names in other languages are not

1-9 Names (continued) Special words –An aid to readability; used to delimit or separate statement clauses A keyword is a word that is special only in certain contexts, e.g., in Fortran –Real VarName ( Real is a data type followed with a name, therefore Real is a keyword) –Real = 3.4 ( Real is a variable) – A reserved word is a special word that cannot be used as a user-defined name

1-10 The Concept of Binding A binding is an association, such as between an attribute and an entity, or between an operation and a symbol Binding time is the time at which a binding takes place.

The Concept of Binding Count = Count + 2 Type of count is bound (compiler time) Set of possible Values of Count is bound (compiler time) Meaning of “+” is bound (compiler time) Value of new Count is bounded (run time)

1-12 Possible Binding Times Language design time -- bind operator symbols to operations Language implementation time-- bind floating point type to a representation Compile time -- bind a variable to a type in C or Java Load time -- bind a FORTRAN 77 variable to a memory cell (or a C static variable) Runtime -- bind a nonstatic local variable to a memory cell

1-13 Static and Dynamic Binding A binding is static if it first occurs before run time and remains unchanged throughout program execution.

Static and Dynamic Binding A binding is dynamic if it first occurs during execution or can change during execution of the program ( like stdin, and hostname (for mobile code)) In PHP –List = [10.2, 3.5]; –…. –List = 47;

1-15 Categories of Variables by Lifetimes The lifetime of a variable is the time during which it is bound to a particular memory cell Static--bound to memory cells before execution begins and remains bound to the same memory cell throughout execution, e.g., all FORTRAN 77 variables, C static variables –Advantages: efficiency (direct addressing), history-sensitive subprogram support –Disadvantage: lack of flexibility (no recursion)

1-16 Type Checking Type checking is the activity of ensuring that the operands of an operator are of compatible types A compatible type is one that is either legal for the operator, or is allowed under language rules to be implicitly converted, by compiler- generated code, to a legal type –This automatic conversion is called a coercion. A type error is the application of an operator to an operand of an inappropriate type

1-17 Name Type Compatibility Name type compatibility means the two variables have compatible types if they are in either the same declaration or in declarations that use the same type name Easy to implement but highly restrictive: –Subranges of integer types are not compatible with integer types –Formal parameters must be the same type as their corresponding actual parameters (Pascal)

18 Type Checking Given all the type information, (and some inferences) check for consistency: –Assignment statement. Given v := e; and v : T1 and e : T2, We must verify T1 =: T2 –Return statement Given return e; and e : T, We must verify T is the return type of the enclosing function. –Conditional Expression Condition must be typed to bool. i.e. Given if c then e1 else e2 We must verify c : bool and if e1:T1 and e2:T2 we must verify T1 =: T2

19 Type Equivalence Structural equivalence –Given Celsius is integer Fahrenheit is integer c : Celsius f : Fahrenheit –Then, we can infer c + f : integer –What about structures and unions? T1 * T2 =: S1 * S2 iff S1 =: T1 and S2 =: T2 T1 + T2 =: S1 + S2 iff S1 =: T1 and S2 =: T2 –Arrays (or lists)? T[] =: S[] iff T =: S

1-20 Type Compatibility (continued) Consider the problem of two structured types: –Are two record types compatible if they are structurally the same but use different field names? –Are two array types compatible if they are the same except that the subscripts are different? (e.g. [1..10] and [0..9]) –Are two enumeration types compatible if their components are spelled differently? –With structural type compatibility, you cannot differentiate between types of the same structure (e.g. different units of speed, both float)

21 Type Equivalence Structural equivalence: –Consider Point = struct { x:Int, y:Int } and FooBar = struct { a:Int, b:Int }; –then Point =: Int x Int and FooBar =: Int x Int –and by structural equivalence Point =: FooBar. Name equivalence: –Since Point and FooBar are different names Point FooBar These are the two typical options for equivalence. Alternatives are possible: –Consider modeling Point as a set of tagged pairs: Point =: ({x} x Int) x ({y} x Int) Then FooBar =: ({a} x Int) x ({b} x Int) Now, if a language supports structural equivalence, Point =: FooBar can be achieved by the programmer by choosing appropriate labels – same set for both.

1-22 Variable Attributes: Scope The scope of a variable is the range of statements over which it is visible The nonlocal variables of a program unit are those that are visible but not declared there The scope rules of a language determine how references to names are associated with variables

1-23 Static Scope Based on program text To connect a name reference to a variable, you (or the compiler) must find the declaration Search process: search declarations, first locally, then in increasingly larger enclosing scopes, until one is found for the given name Enclosing static scopes (to a specific scope) are called its static ancestors; the nearest static ancestor is called a static parent

1-24 Blocks –A method of creating static scopes inside program units--from ALGOL 60 –Examples: C and C++: for (...) { int index;... } Ada: declare LCL : FLOAT; begin... end

1-25 Evaluation of Static Scoping Assume MAIN calls A and B A calls C and D B calls A and E MAIN E A C D B AB CDE

Scoping int x = 0; int f( ) { return x; } int g( ) { int x = 1; return f(); }

Why Scope? Given multiple bindings of a single name, how do we know which binding does an occurrence of this name refer to?

An Example of Block Scope in C

29 Static vs. Dynamic Scoping

program main var y: Real; procedure compute() var x : Integer; procedure initialize() var z: Real; begin {initialize} z=x;... end {initialize} procedure transform() var x: Real; begin {transform}... end {transform} begin {compute}... end {compute} begin {main}... end {main}

1-31 Dynamic Scope Based on calling sequences of program units, not their textual layout (temporal versus spatial) References to variables are connected to declarations by searching back through the chain of subprogram calls that forced execution to this point

1-32 Scope Example Static scoping –Reference to x is to MAIN's x Dynamic scoping –Reference to x is to SUB1's x Evaluation of Dynamic Scoping: –Advantage: convenience –Disadvantage: poor readability

1-33 Scope and Lifetime Scope and lifetime are sometimes closely related, but are different concepts Consider a static variable in a C or C++ function

1-34 Variable Initialization The binding of a variable to a value at the time it is bound to storage is called initialization Initialization is often done on the declaration statement, e.g., in Java int sum = 0;

1-35 Named Constants A named constant is a variable that is bound to a value only when it is bound to storage Advantages: readability and modifiability Used to parameterize programs The binding of values to named constants can be either static (called manifest constants) or dynamic Languages: –FORTRAN 90: constant-valued expressions –Ada, C++, and Java: expressions of any kind

Assuming static scoping or dynamic scoping rules are used. What value does the program print? var x : integer; /* global variable */ procedure Update x := x + 1; procedure DoCall(P: procedure) var x : integer; x := 1; P(); write_integer(x); begin /* body of main program */ x := 0; DoCall(Update); end /* body of main program */

static scoping, dynamic scoping x : integer /* global */ procedure one x := 1 procedure two x : integer x := 2 one() begin /* main program */ x := 0 two() write_integer(x) end /* main program */

Consider the following outline of a QuickSort procedure in Pascal: procedure QuickSort(var A: Array) procedure Partition(var A: Array; j,k: integer) var pivot: integer; procedure Swap(var A: Array; s,t: integer) var temp: Type; begin (* Swap *)... <== [1] end; (* Swap *) begin (* Partition *)... <== [2] end; (* Partition *) begin (* QuickSort *)... <== [3] end; (* QuickSort *) Indicate which variables, arguments, and subroutines are in scope at the indicated points [1], [2], and [3] in the program. Mark the variables and arguments with the procedure that defines it (for example, at [1] A of Swap is in scope).