exercism/cpp/interest-is-interesting/README.md

Interest is interesting

Welcome to Interest is interesting on Exercism's C++ Track. If you need help running the tests or submitting your code, check out HELP.md. If you get stuck on the exercise, check out HINTS.md, but try and solve it without using those first :)

Introduction

Loops

Loops are used to repeatedly execute some logic. The two most common types are the while loop (indefinite looping) and the for loop (definite, or counted looping). There is also the for each loop, that will come up in a later concept.

General Syntax

The for loop consists of a header and a code block that contains the body of the loop wrapped in curly brackets. The header consists of 3 components separated by semicolons ;: init-statement, condition, and another expression. Each of these may be empty.

for (init_statement; condition; expression) {
  some_statement;
}

• The init_statement component is code that runs only once before the loop starts.
• The condition component must be some expression that evaluates to a boolean and controls when the loop should stop. The code inside the loop will run as long as this condition evaluates to true. As soon as this expression evaluates to false, no more iterations of the loop will run.
• The expression component is some code that will run at the end of each iteration.

The while loop executes its body as long as its condition check is true. The code snippet below shows how to transform a for into a while loop.

init_statement;
while(condition) {
    some_statement;
    expression;
}

Interlude: Increments and Decrements

When working with loops it is often required to add 1 or subtract 1 from a counter variable which keeps track of the iterations. This is so common, that the incrementing/decrementing actions have special operators: ++ and --.

They come in a prefix and a postfix form. The prefix changes the variable before use in the statement and the postfix version afterward. You probably want the prefix version most of the time.

int a{3};
int b{--a};
// b is 2, a is now 2
int c{a++};
// c is 2, a is now 3

For Loops - An example

The init component usually sets up a counter variable, the condition checks whether the loop should be continued or stopped and the post component usually increments the counter at the end of each repetition.

int sum{0};
for (int i{1}; i < 10; ++i) {
  sum += i;
}

This loop will sum the numbers from 1 to 9 (including 9).

Break and Continue

Inside a loop body, you can use the break keyword to stop the execution of the loop entirely:

int sum{2};
while(true) {
    sum *= 2;
    if (sum > 1000)
        break;
}
// sum is now 1024

In contrast, the keyword continue only stops the execution of the current iteration and continues with the next one:

int equal_sum{0};
for (int i{1}; i < 7; ++i) {
  if  (i%2 == 1) {
    continue;
  }
  equal_sum += i;
}
// equal_sum is now 12

It is usually easier to understand the logic of the loop, when the use of `break` and `continue` is minimized or entirely avoided.
Both keywords skip certain sections of the code and make it often more difficult to follow along.

Instructions

In this exercise, you'll be working with savings accounts. Each year, the balance of your savings account is updated based on its interest rate. The interest rate your bank gives you depends on the amount of money in your account (its balance):

• 3.213% for a balance less than 0 dollars (balance gets more negative).
• 0.5% for a balance greater than or equal to 0 dollars, and less than 1000 dollars.
• 1.621% for a balance greater than or equal to 1000 dollars, and less than 5000 dollars.
• 2.475% for a balance greater than or equal to 5000 dollars.

You have four tasks, each of which will deal with the balance and its interest rate.

1. Calculate the interest rate

Implement the interest_rate function to calculate the interest rate based on the specified balance:

interest_rate(200.75);
// => 0.5

2. Calculate the interest

Implement the yearly_interest function to calculate the interest based on the specified balance:

yearly_interest(200.75):
// => 1.003750

3. Calculate the annual balance update

Implement the annual_balance_update function to calculate the annual balance update, taking into account the interest rate:

annual_balance_update(200.75);
// => 201.75375

4. Calculate the years before reaching the desired balance

Implement the years_until_desired_balance function to calculate the minimum number of years required to reach the desired balance, taking into account that each year, interest is added to the balance. This means that the balance after one year is: start balance + interest for start balance. The balance after the second year is the balance after one year + interest for the balance after one year. And so on, until the current year's balance is greater than or equal to the target balance.

double balance {200.75};
double targetBalance {214.88};
years_until_desired_balance(balance, targetBalance)
// => 14

Note that the value returned is an int.

Source

Created by

• @vaeng