Functions, Parameters, and Scope

Functions are the first major abstraction tool in C++. They let a program give a name to a computation, isolate local state, document preconditions and postconditions, and reuse one tested operation in many places. Savitch presents functions in two stages: first the mechanics of predefined and programmer-defined functions, then the parameter-passing rules that determine whether a function receives a copy of a value or direct access to the caller's variable.

The central discipline is to think about what a function promises, not only what lines of code it contains. A good function has a narrow purpose, a clear parameter list, and a return mode that matches the job. It either computes and returns a value, performs an action through side effects, or carefully combines both when that combination is justified.

Definitions

A function declaration or prototype tells the compiler the function name, return type, and parameter types before the function is called.

double unitPrice(int diameter, double price);
void swapValues(int& left, int& right);

A function definition gives the body.

double unitPrice(int diameter, double price) {
    const double PI = 3.141592653589793;
    double radius = diameter / 2.0;
    double area = PI * radius * radius;
    return price / area;
}

A parameter is the placeholder in the declaration or definition. An argument is the expression supplied in a call.

double cost = unitPrice(12, 13.50);

Here diameter and price are parameters; 12 and 13.50 are arguments.

A value-returning function computes an expression and returns it with return. A void function performs an action but does not return a value.

void printLine(char ch, int count) {
    for (int i = 0; i < count; ++i) {
        std::cout << ch;
    }
    std::cout << '\n';
}

Call by value copies the argument value into a local parameter variable. Changes to the parameter do not change the caller's object.

void addOne(int x) {
    x += 1; // changes only the local copy
}

Call by reference binds the parameter directly to the caller's variable. It is marked with &.

void addOne(int& x) {
    x += 1; // changes the caller's variable
}

A constant reference parameter combines reference efficiency with protection against modification.

void printName(const std::string& name) {
    std::cout << name << '\n';
}

Scope is the region of a program where a name can be used. Local variables are visible only inside their block. A nested block may introduce a new variable whose name hides an outer one.

Key results

Function calls evaluate arguments first, initialize parameters, execute the function body, then return control to the caller. With call by value, the parameter is a new local variable. With call by reference, the parameter is another name for the caller's variable. This difference explains why swap needs references:

void swapValues(int& a, int& b) {
    int temp = a;
    a = b;
    b = temp;
}

Without &, the function would only swap local copies.

Use parameter modes deliberately:

Need	Preferred parameter mode	Reason
read a small value	by value, int x	simple and cheap
read a large object	by const reference, const T& x	avoids copy, prevents change
change caller's object	by non-const reference, T& x	communicates output or update
optional absence	pointer or modern wrapper	reference must bind to an object

Function overloading lets multiple functions share a name when their parameter lists differ.

double average(double a, double b) {
    return (a + b) / 2.0;
}

double average(double a, double b, double c) {
    return (a + b + c) / 3.0;
}

The compiler chooses the overload by matching argument count and types. A return type alone is not enough to distinguish overloads.

Default arguments provide values when the caller omits trailing arguments.

double compound(double principal, double rate, int years = 1);

Defaults belong in the declaration visible to callers. They should not make calls ambiguous.

Preconditions and postconditions are not enforced by the language, but they are a compact way to specify the contract. assert can test assumptions during development:

#include <cassert>

double divide(double numerator, double denominator) {
    assert(denominator != 0.0);
    return numerator / denominator;
}

Visual

Name category	Example	Lifetime	Scope
local variable	int count inside a function	created on block entry, destroyed on exit	block
formal parameter	double price	created for function call	function body
global constant	const int MAX = 100 outside functions	whole program	from declaration onward
global variable	int total outside functions	whole program	from declaration onward

Worked example 1: choosing parameter modes for a pizza comparison

Problem: Given diameters and prices for two pizzas, decide which has lower price per square inch.

Method:

1. The unit price formula uses area.

$$\mathrm{area} = \pi r^2$$

2. Diameter is converted to radius.

$$r = \frac{d}{2}$$

3. Unit price is:

$$\mathrm{unitPrice} = \frac{\mathrm{price}}{\mathrm{area}}$$

4. The calculation does not change its inputs, so use call by value for small numeric parameters.
5. The function returns a double, because the computed unit price is a value.

#include <iostream>

double unitPrice(int diameter, double price) {
    const double PI = 3.141592653589793;
    double radius = diameter / 2.0;
    double area = PI * radius * radius;
    return price / area;
}

int main() {
    int smallDiameter = 10;
    double smallPrice = 7.50;
    int largeDiameter = 13;
    double largePrice = 14.75;

    double smallUnit = unitPrice(smallDiameter, smallPrice);
    double largeUnit = unitPrice(largeDiameter, largePrice);

    if (smallUnit < largeUnit) {
        std::cout << "Small pizza is cheaper per square inch\n";
    } else {
        std::cout << "Large pizza is cheaper per square inch\n";
    }
}

Checked answer:

1. Small radius is 5, area is about 78.54.
2. Small unit price is 7.50 / 78.54, about 0.0955.
3. Large radius is 6.5, area is about 132.73.
4. Large unit price is 14.75 / 132.73, about 0.1111.
5. The small pizza is the better buy.

Worked example 2: tracing value and reference parameters

Problem: Predict the output when a function receives one value parameter and one reference parameter.

#include <iostream>

void update(int valueCopy, int& referenceAlias) {
    valueCopy += 10;
    referenceAlias += 10;
    std::cout << "inside: " << valueCopy << " "
              << referenceAlias << '\n';
}

int main() {
    int first = 1;
    int second = 2;
    update(first, second);
    std::cout << "outside: " << first << " "
              << second << '\n';
}

Method:

1. Before the call, first == 1 and second == 2.
2. valueCopy is initialized from first, so valueCopy == 1.
3. referenceAlias binds to second, so it is not a copy.
4. valueCopy += 10 makes the local copy 11.
5. referenceAlias += 10 changes second from 2 to 12.
6. The function prints inside: 11 12.
7. After the function returns, first is still 1; second is 12.

Checked answer: the output is:

inside: 11 12
outside: 1 12

Code

This program uses a small function set, const references, reference output parameters, and overloads.

#include <iostream>
#include <string>

void readScore(const std::string& label, int& score) {
    do {
        std::cout << label << " score (0-100): ";
        std::cin >> score;
    } while (score < 0 || score > 100);
}

double average(int a, int b) {
    return (a + b) / 2.0;
}

double average(int a, int b, int c) {
    return (a + b + c) / 3.0;
}

char letterGrade(double score) {
    if (score >= 90) return 'A';
    if (score >= 80) return 'B';
    if (score >= 70) return 'C';
    if (score >= 60) return 'D';
    return 'F';
}

int main() {
    int exam1;
    int exam2;
    int project;

    readScore("First exam", exam1);
    readScore("Second exam", exam2);
    readScore("Project", project);

    double examAverage = average(exam1, exam2);
    double courseAverage = average(exam1, exam2, project);

    std::cout << "Exam average: " << examAverage << '\n';
    std::cout << "Course average: " << courseAverage << '\n';
    std::cout << "Grade: " << letterGrade(courseAverage) << '\n';
}

Common pitfalls

• Omitting a function prototype when the call appears before the definition.
• Confusing parameters with arguments. Parameters are in the function definition; arguments are supplied at the call site.
• Forgetting & on a parameter that is supposed to modify the caller's variable.
• Using a non-const reference for an input-only object, which prevents calls with temporaries and hides intent.
• Returning a reference to a local variable. The local object is destroyed when the function exits.
• Depending on globals instead of passing parameters. This makes the function harder to test and reuse.
• Overloading functions whose calls become ambiguous after implicit conversions.
• Putting default arguments in multiple declarations inconsistently.

Parameter-design checks:

• Use call-by-value when the function needs its own independent copy or when the value is small and cheap to copy, such as an int, char, or double.
• Use call-by-reference when the function's purpose is to modify the caller's object, as in readInput(int& value) or swapValues(int& a, int& b).
• Use const reference for larger inputs that should not be modified. This communicates intent and avoids unnecessary copying for strings, vectors, and user-defined classes.
• Keep input parameters and output parameters visually distinct in the function name and documentation. If a function both computes and changes several arguments, consider returning a value or defining a small result type.
• Avoid hidden dependencies on global variables. A function whose result depends only on its parameters is easier to test, reuse, and reason about.
• Check each return path. Every non-void function should return a value on every possible path, including error branches and boundary cases.

Connections

• C++ basics and control flow
• arrays
• references and operator overloading
• templates
• recursion