Control Structures The if, for, and while Statements §5.1, §5.4, & §5.5 (Several examples here; also Lab #4) 1 st. line Basic Kinds of Control The behavior of main()(and other functions) is determined by the statements within it. Statements fall into one of three categories called control structures: Statements that simply execute in sequence. Statements that select one of several alternatives. Statements that repeat another statement. EVERY PROGRAM CAN BE WRITTEN USING THESE 3 CONTROL STRUCTURES. See flowcharts in §5.4 & 5.5 2 List seq, sel, rep Sequential execution The design of computers in which program instructions are stored in memory along with the data processed by the program is known as the von Neumann Named after mathematician architecture. A special register, called the /physicist John von Neumann instruction counter (IC), stores the address (see Ch.1, p. 8) of the memory location where the next instruction to be executed is found. It is initialized with the address of the first instruction and execution proceeds as follows: Fetch the instruction whose address is in the IC Decode it to find the opcode and the operands Execute the operation IC++ (unless the IC is changed in some other way) 3 Diagram: IC, memory, CPU The last step (IC++) indicates that the default manner of executing statements is sequential. In C++, a list of statements enclosed in curly braces { } Statement1 Statement2 ... StatementN STYLE TIP Indent& align the statements they enclose. is known as a compound statement (or block). It is a statement that produces sequential execution of the statements enclosed by the { and }. Note: A compound statement is a single statement and can thus be used any place a statement is needed . 4 Nested blocks; Pascal: BEGIN…END Scope A variable declared within a block is called a local variable. It exists (has memory allocated to it) only from its declaration to the end of the block. We say that its scope extends from its declaration to the end of the block. This is one of For example, in the code several scope ... cin >> item; while (item != -999) { int i = 0; ... cin >> item; i++; } cout << "Value of i = " << i; rules. Others will be described later. the last line won't compile because local variable i is out of scope. The "lifetime" of i ends at the }. 5 Move int I = 0-; Will have blocks inside blocks Selective Execution (§ 5.4) In contrast to sequential execution, there are situations in which a problem's solution requires that a statement be executed selectively, based on a condition (a boolean expression): The C++ if statement is a statement that causes selective execution, allowing a program to choose exactly one of two statements and execute it. Note again: An if statement is a single statement, even if it extends over many lines. if (Condition) Statement1 else Statement2 optional 6 Statements can be blocks The Simple if The C++ if statement has several different forms. The first form has no else or Statement2, and is called the simple if: if (Condition) Statement T If Condition is true, Statement is executed; otherwise Statement is skipped. Statement Condition F 7 Proceed or bypass Some programmers use else; Examples: // if value is negative, make it positive if (value < 0) value = -value; // Display date in mm/dd/yyyy format if (month < 10) cout << 0; cout << month << '/'; if (day < 10) cout << 0; cout << day << '/' << year << endl; 8 Efficient alternative to abs(value); endl Examples showing Statement can be a compound statement: // if a < b, interchange a and b (integers) if (a < b) Common Alternative Style: { if (a < b){ int temp = a; int temp = a; a = b; a = b; b = temp; b = temp; } } // Stop program if a is 0 // (in quadratic equation solver) cout is buffered; cerr is not. if (a == 0) { cerr << "*** Coefficient of x^2 cannot be 0 ***\n"; exit(1); // Stop execution & return 1 to OS } Lab 4: Exer. 4.3 9 Visual aligns either format; User-friendly assert The Two-Branch if In the second form of if, the else and Statement2 are present: STYLE TIP Align if and else and indent & align the statements in each part. if (Condition) Statement1 else Statement2 If Condition is true, Statement1 is executed and Statement2 is skipped; otherwise Statement1 is skipped and Statement2 is executed. T Statement1 Condition F Statement2 10 Example: // Continuation of quadratic equation solver // Legal quadratic equation, so find roots (if any) double discrim = b*b - 4*a*c; if (discrim >= 0) { double root1 = (-b + sqrt(discrim)) / (2*a), root2 = (-b - sqrt(discrim)) / (2*a); cout << "Solutions: " << root1 << ", " << root2 << endl; } else cout << "No real roots\n"; 11 The Multi-branch if The final form of the if statement is: if (Cond1) Stmt1 else if (Cond2) Stmt2 ... else if (CondN) StmtN else StmtN+1 STYLE TIP Align if, else ifs, and else and indent & align the statements in each part. Exactly one of the statements Stmti will be selected and executed, namely, the one corresponding to the first Condi that is true. 12 The intent is to implement a multi-alternative selection structure of the following form, where exactly one of the alternatives is selected and executed: T Stmt1 T Stmt2 F F F F T Stmt3 T StmtN StmtN+1 13 Click switch Actually, however, it implements a "waterfall" selection structure of the following form: T Stmt1 Cond1 T F Cond2 F ... Stmt2 T StmtN CondN F StmtN+1 14 And it is treated by the compiler as a sequence of nested ifs in which each else clause (except the last) is another if-else statement: if (Cond1) Stmt1 else if (Cond2) Stmt2 else if (Cond3) Stmt3 ... else if (CondN) StmtN else StmtN+1 This form is surely more difficult to type with all its staggered indents. It also does not display as clearly the different alternatives and that exactly one of them will be selected. 15 move if up If Cond1 is true, Stmt1 is executed and the remaining statements are skipped; otherwise, control moves to Cond2; if Cond2 is true, Stmt2 is executed and the remaining statements are skipped; otherwise, control goes to the next condition ... if CondN is true, StmtN is executed and StmtN+1 is skipped; otherwise, StmtN+1 is executed. if (Cond1) Stmt1 else if (Cond2) Stmt2 ... else if (CondN) StmtN else StmtN+1 16 Example: Assigning letter grades: Using the nested-if form: if (score > 100 || score < 0) cerr << "Invalid score!\n"; else if (score >= 90) grade = 'A'; else if (score >= 80) grade = 'B'; else if (score >= 70) grade = 'C'; else if (score >= 60) grade = 'D'; else grade = 'F'; 17 ... or the preferred if-else-if form: if (score > 100 || score < 0) cerr << "Invalid score!\n"; else if (score >= 90) Note the simple conditions; we don't grade = 'A'; need (score <= 100 && score >= 90) else if (score >= 80) (score < 90 && score >= 80) grade = 'B'; (score < 80 && score >= 70) else if (score >= 70) (score < 70 && score >= 60) grade = 'C'; Do you understand why? else if (score >= 60) grade = 'D'; else Here's an example of program grade = 'F'; efficiency — not doing unnecessary computations. 18 menu processing - Lab 4 Repetitive Execution (§ 5.5) Finally, there are situations where solving a problem requires that a statement be repeated, with the repetition being controlled by a condition. There are three parts to the repetition mechanism: • Initialization • Repeated execution • Termination Now we look at one repetition statement in C++, the for statement: 19 for, while, do-while Does the initialization Causes termination — think "while this is true, do the following" Usually modifies something each time through the loop for (InitializerExpr; LoopCondition; ModifierExpr) Statement where Statement can be either a single statement, or a compound statement. And again, note: A for statement is a single statement, even if it extends over many lines. Need not all be on one line Compared to for statements in other programming languages, C++'s has an unusual syntax. 20 for (int I = 1; I <= 10; i++) The for Loop for (InitializerExpr; LoopCondition; ModifierExpr) Statement Statement will be executed so long as LoopCondition is true. InitializerExpr F LoopCondition T Statement is often called Statement the body of the loop. ModifierExpr STYLE TIP Indent and align the statements in the body of the loop. 21 for (InitializerExpr; LoopCondition; ModifierExpr) true false Statement InitializerExpr Each execution of LoopCondition Statement ModifierExpr is called one repetition or iteration of the loop. F LoopCondition T Statement ModifierExpr 22 for (InitializerExpr; LoopCondition; ModifierExpr) Statement When LoopCondition becomes false,control proceeds to the statement following the loop. InitializerExpr F LoopCondition T Statement Note: if the LoopCondition is initially false, then the body of the loop will not be executed. For this reason this is called a pretest loop. ModifierExpr 23 Counting InitializerExpr F LoopCondition T Statement The "normal" use of the for loop is to count: Declare and initialize the loopcontrol variable Check if loop-control variable has gone through all its values Inc-/dec-rement loop-control variable int limit; cin >> limit; for (int count = 1; count <= limit; count++) { cout << count << endl; } Output (suppose limit = 5): 1 2 3 4 5 What if limit is 1? limit is 0? How get 1, 3, 5, . . . ? 1 no output count += 2 ModifierExpr Could omit { }; loop body contains a single statement Scope Rule 24 Scope: Need count after loop? Move initializer up Nested Loops Loops can also be nested: Could omit { } since each loop body contains a single statement for (int val1 = 1; val1 <= limit1; val1++) { for (int val2 = 1; val2 <= limit2; val2++) { cout << val1 << '*' << val2 << " = " << val1 * val2 << endl; } } Output (suppose limit1 = 2, limit2 = 3): 1*1 1*2 1*3 2*1 2*2 2*3 = = = = = = 1 2 3 2 4 6 25 Table output Input Loops There are two different types of input loops: 1. Counting approach: Ask for the number of inputs to be entered and use a for loop. — This method requires knowing in advance how many inputs there are. Example: The Nyhoffian method of assigning letter grades: Find the mean of the numeric scores. This is the B- cutoff. Halfway between the mean and 100% is the A- cutoff. Halfway betwe en the mean and 50% is the C- cutoff. 50% is the D- cutoff. 26 Example /* Program to display a grading scale (Nyhoffian) for a test. Input: A list of test scores Output: Letter grade cutoffs -----------------------------------------------------------*/ #include <iostream> using namespace std; int main() { cout << "Program finds letter grade cutoffs for a test.\n\n"; // First find the average double score, sum = 0.0, average; int numScores = 0; 27 cout << "Enter number of scores: "; cin >> numScores; for (int count = 1; count <= numScores; count++) { cout << "Enter a score: "; cin >> score; sum += score; } if (numScores > 0) average = sum / numScores; else { cerr << "\n*** No scores! Stopping program ***\n"; exit(1); } // Compute and display letter grade cutoffs. cout << << << << } "\nA-: "B-: " "C-: " "D-: " " << (100 + average) /2 << "%\n" << average << "%\n" << (average + 50) / 2 << "%\n" << 50 << "%\n"; 28 Execution of our example program: Program finds letter grade cutoffs for a test. Enter Enter Enter Enter Enter Enter A-: B-: C-: D-: number of scores: 5 a score: 77 a score: 88 a score: 66 a score: 77 a score: 99 90.7% 81.4% 65.7% 50% 29 The second kind of input loop: 2. Sentinel approach: Values are entered until the end of input is signaled by entering a sentinel (or flag) ― a value that signals the end of input. - A while loop is commonly used in many programming languages. -This method requires the availability of an appropriate sentinel value. 30 Second part of lab The while Loop Pattern: while (Condition) Statement Statement can be either a single or a compound statement, but is almost always compound. Repetition continues so long as Condition is true. F Condition T Statement 31 Using while for an Input Loop Pattern: Prompt for first value Read value while (value != sentinel) { Process the value } Need the first input value so it can be compared with sentinel Prompt for another value Read value Get the next value F Condition T Statement 32 Example /* Program to display a grading scale (Nyhoffian) for a test. Input: A list of test scores Output: Letter grade cutoffs -----------------------------------------------------------*/ #include <iostream> using namespace std; int main() { cout << "Program finds letter grade cutoffs for a test.\n\n"; // First find the average double score, sum = 0.0, average; int numScores = 0; 33 cout << "Enter a test score (-1 to quit): "; cin >> score; while (score >= 0) { count++; sum += score; cout << "Enter another score (-1 to quit): "; cin >> score; } if (numScores > 0) average = sum / numScores; else { cerr << "\n*** No scores! Stopping program ***\n"; exit(1); } sentinel // Compute and display letter grade cutoffs. cout << << << << } "\nA-: "B-: " "C-: " "D-: " " << (100 + average) /2 << "%\n" << average << "%\n" << (average + 50) / 2 << "%\n" << 50 << "%\n"; 34 Execution of our example program, but using the while-loop version: Program finds letter grade cutoffs for a test. Enter Enter Enter Enter Enter Enter A-: B-: C-: D-: a test score (-1 to quit): 77 another score (-1 to quit): 88 another score (-1 to quit): 66 another score (-1 to quit): 77 another score (-1 to quit): 99 another score (-1 to quit): -1 90.7% 81.4% 65.7% 50% 35 Textbook: Chap. 1, pages 8-9 In other early computers, the instructions were stored outside the machine on punched cards or some other medium and were transferred into the machine one at a time for interpretation and execution. In 1945, Princeton mathematician John von Neumann wrote “First Draft of a Report on the EDVAC (Electronic Discrete Variable Automatic Computer)” computer in which he described a scheme that required program instructions to be stored internally before execution. This led to his being credited as the inventor of the stored-program concept. The architectural design he described is still known as the von Neumann architecture. The advantage of executing instructions from a computer’s memory rather than directly from a mechanical input device is that it eliminates time that the computer must spend waiting for instructions. Instructions can be processed more rapidly and more importantly, they can be modified by the computer itself while computations are taking place. The introduction of this scheme to computer architecture was crucial to the development of generalpurpose computers. Using while for an Input Loop while (value != sentinel) { Prompt for a value Read value } Process the value F Condition T Statement 37