# Expressions & Assignment Statements

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1 Expressions & Assignment Statements 1

2 Topics Introduction Arithmetic Expressions Overloaded Operators Type Conversions Relational and Boolean Expressions Short-Circuit Evaluation Assignment Statements Mixed-Mode Assignment 1-2

3 Introduction What we will study? Semantics of expressions How they are evaluated Expressions are the fundamental means of specifying computations in a programming language To understand expression evaluation, need to be familiar with the orders of operator and operand evaluation Essence of imperative languages is dominant role of assignment statements changes the value of variable 1-3

4 Arithmetic Expressions Arithmetic evaluation was one of the motivations for the development of the first programming languages Arithmetic expressions consist of operators, operands, parentheses, and function calls 1-4

5 Arithmetic Expressions: Operators A unary operator has one operand A binary operator has two operands A ternary operator has three operands 1-5

6 Arithmetic Expressions: Design Issues Design issues for arithmetic expressions operator precedence rules operator associativity rules order of operand evaluation operand evaluation side effects operator overloading mode mixing expressions 1-6

7 Arithmetic Expressions: Operator Precedence Rules What is the result of a + b x c Depends on order of evaluation of the operators The operator precedence rules for expression evaluation define the order in which adjacent operators of different precedence levels are evaluated Set at language design time Typical precedence levels include parentheses, unary operators, **, *, /, +, - Unary additions: identity operators only no operations associated Some language experts consider it useless!! Java however has an effect on type conversion (short to int) Precedence rules are language dependent 1-7

8 Arithmetic Expressions: Operator Associativity Rule The operator associativity rules for expression evaluation define the order in which adjacent operators with the same precedence level are evaluated Typical associativity rules Left to right, except **, which is right to left (Fortran) or non associative (as in Ada) Sometimes unary operators associate right to left (e.g., in FORTRAN) APL is different; all operators have equal precedence and all operators associate right to left Precedence and associativity rules can be overriden with parentheses 1-8

9 Arithmetic Expressions: Conditional Expressions Conditional Expressions C-based languages (e.g., C, C++) An example: average = (count == 0)? 0 : sum / count?: is the ternary operator Evaluates as if written like if (count == 0) average = 0 else average = sum /count 1-9

10 Arithmetic Expressions: Operand Evaluation Order Operand evaluation order 1. Variables: fetch the value from memory 2. Constants: sometimes a fetch from memory; sometimes the constant is in the machine language instruction 3. Parenthesized expressions: evaluate all operands and operators first 4. Irrelevant if there is no side effect 1-10

11 Arithmetic Expressions: Potentials for Side Effects Functional side effects: when a function changes a twoway parameter or a non-local variable Problem with functional side effects: When a function referenced in an expression alters another operand of the expression; e.g., for a parameter change: a = 10; /* assume that fun changes its parameter */ b = a + fun(a); 1-11

12 Functional Side Effects Two possible solutions to the problem 1. Write the language definition to disallow functional side effects No two-way parameters in functions No non-local references in functions Advantage: it works! Disadvantage: inflexibility of two-way parameters and nonlocal references 2. Write the language definition to demand that operand evaluation order be fixed Disadvantage: limits some compiler optimizations 1-12

13 Overloaded Operators Use of an operator for more than one purpose is called operator overloading Some are common (e.g., + int and float) Some are potential trouble (e.g., * in C and C++) Loss of compiler error detection (omission of an operand should be a detectable error) Some loss of readability Can be avoided by introduction of new symbols (e.g., Pascal s div for integer division and / for floating point) Also increase readability JavaScript do not provide integer arithmetic PHP produces floating point value if result is not integer 1-13

14 Overloaded Operators (continued) C++ and Ada allow user-defined overloaded operators Potential problems: Users can define nonsense operations Readability may suffer, even when the operators make sense 1-14

15 Type Conversions A narrowing conversion is one that converts an object to a type that cannot include all of the values of the original type e.g., float to int A widening conversion is one in which an object is converted to a type that can include at least approximations to all of the values of the original type e.g., int to float 1-15

16 Type Conversions: Mixed Mode A mixed-mode expression is one that has operands of different types A coercion is an implicit type conversion Disadvantage of coercions: They decrease in the type error detection ability of the compiler as discussed earlier In most languages, all numeric types are coerced in expressions, using widening conversions In Ada, there are virtually no coercions in expressions 1-16

17 Explicit Type Conversions Explicit Type Conversions Called casting in C-based language Examples C: (int) angle Ada: Float (sum) Note that Ada s syntax is similar to function calls 1-17

18 Type Conversions: Errors in Expressions Causes Inherent limitations of arithmetic e.g., division by zero Limitations of computer arithmetic e.g. overflow Often ignored by the run-time system 1-18

19 Relational and Boolean Expressions Relational Expressions Use relational operators and operands of various types Evaluate to some Boolean representation Operator symbols used vary somewhat among languages (!=, /=,.NE., <>, #) JavaScript and PHP have === and :== similar to == and!= but forcing no coercion 1-19

20 Relational and Boolean Expressions Boolean Expressions Operands are Boolean and the result is Boolean Example operators FORTRAN 77 FORTRAN 90 C Ada.AND. and && and.or. or or.not. not! not xor 1-20

21 Relational and Boolean Expressions: No Boolean Type in C C has no Boolean type--it uses int type with 0 for false and nonzero for true One odd characteristic of C s expressions: a < b < c is a legal expression, but the result is not what you might expect: Left operator is evaluated, producing 0 or 1 The evaluation result is then compared with the third operand (i.e., c) 1-21

22 Relational and Boolean Expressions: Operator Precedence Precedence of arithmetic, relational and Boolean operators in C-based languages are: prefix ++, -- unary +, -, prefix ++, --,! *,/,% binary +, - <, >, <=, >= =,!= && 1-22

23 Short Circuit Evaluation An expression in which the result is determined without evaluating all of the operands and/or operators Example: (13*a) * (b/13 1) If a is zero, there is no need to evaluate (b/13-1) Problem with non-short-circuit evaluation index = 1; while (index < length) && (LIST[index]!= value) index++; When index=length, LIST [index] will cause an indexing problem (assuming LIST has length -1 elements) 1-23

24 Short Circuit Evaluation (continued) C, C++, and Java: use short-circuit evaluation for the usual Boolean operators (&& and ), but also provide bitwise Boolean operators that are not short circuit (& and ) Ada: programmer can specify either (short-circuit is specified with and then and or else) Short-circuit evaluation exposes the potential problem of side effects in expressions 1-24

25 Assignment Statements The general syntax <target_var> <assign_operator> <expression> The assignment operator = FORTRAN, BASIC, PL/I, C, C++, Java := ALGOLs, Pascal, Ada = can be bad when it is overloaded for the relational operator for equality 1-25

26 Assignment Statements: Conditional Targets Conditional targets (C, C++, and Java) (flag)? total : subtotal = 0 Which is equivalent to if (flag) total = 0 else subtotal =

27 Assignment Statements: Compound Operators A shorthand method of specifying a commonly needed form of assignment Source also appears in destination Introduced in ALGOL; adopted by C Example a = a + b is written as a += b 1-27

28 Assignment Statements: Unary Assignment Operators Unary assignment operators in C-based languages combine increment and decrement operations with assignment Examples sum = ++count (count incremented, added to sum) sum = count++ (count is assigned to sum and then incremented) count++ (count incremented) -count++ (count incremented then negated) 1-28

29 Assignment as an Expression In C, C++, and Java, the assignment statement produces a result and can be used as operands An example: while ((ch = getchar())!= Y ){ } ch = getchar() is carried out; the result (assigned to ch) is used as a conditional value for the while statement 1-29

30 Mixed-Mode Assignment Assignment statements can also be mixed-mode, for example int a, b; float c; c = a / b; In Pascal, integer variables can be assigned to real variables, but real variables cannot be assigned to integers In Java & C#, only widening assignment coercions are done In Ada, there is no assignment coercion 1-30

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