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✨ (concepts) Add concept exercise
interest-is-interesting
This is inspired by the same on csharp track. Provides introduction to while loops & floating point numbers.
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# Hints | ||
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## General | ||
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- [Floating-point types][floating-point-types] section on Chapter 3.2 Data Types | ||
of the Rust Book. | ||
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## 1. Calculate the interest rate | ||
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- By default, any floating-point number defined in Rust code is treated as a | ||
[`f64`][f64]. | ||
- To use [`f32`][f32] one can write numbers with a suffix of `_f32` or explicitly add | ||
the type to declaration. | ||
```rust | ||
let x = 2.0_f32; | ||
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let y: f32 = 3.0; | ||
``` | ||
- [If statements][if-statements] can be used to return different values based on certain | ||
conditions. | ||
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## 2. Calculate the interest | ||
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- When calculating interest, it might be helpful to notice that `interest_rate` returns a percentage. | ||
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## 3. Calculate the annual balance update | ||
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- When calculating the annual balance update, we can use methods we have defined in previous steps. | ||
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## 4. Calculate the years before reaching the desired balance | ||
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- To calculate the years, one can keep looping until the desired balance is | ||
reached. You can use the [while-loop]. | ||
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[while-loop]: https://doc.rust-lang.org/rust-by-example/flow_control/while.html | ||
[f32]: https://doc.rust-lang.org/std/primitive.f32.html | ||
[f64]: https://doc.rust-lang.org/std/primitive.f64.html | ||
[if-statements]: https://doc.rust-lang.org/book/ch03-05-control-flow.html#if-expressions | ||
[floating-point-types]: | ||
https://doc.rust-lang.org/book/ch03-02-data-types.html?highlight=floating#floating-point-types | ||
[rust-book]: https://doc.rust-lang.org/book |
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exercises/concept/interest-is-interesting/.docs/instructions.md
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# Instructions | ||
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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): | ||
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- 3.213% for a negative balance (balance gets more negative). | ||
- 0.5% for a positive balance less than `1000` dollars. | ||
- 1.621% for a positive balance greater than or equal to `1000` dollars and less than `5000` dollars. | ||
- 2.475% for a positive balance greater than or equal to `5000` dollars. | ||
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You have four tasks, each of which will deal your balance and its interest rate. | ||
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## 1. Calculate the interest rate | ||
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Implement the `interest_rate()` method to calculate the interest rate based on the specified balance: | ||
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```rust | ||
interest_rate(200.75) | ||
// 0.5 | ||
``` | ||
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## 2. Calculate the interest | ||
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Implement the `interest()` method to calculate the interest based on the specified balance: | ||
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```rust | ||
interest(200.75) | ||
// 1.00375 | ||
``` | ||
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## 3. Calculate the annual balance update | ||
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Implement the `annual_balance_update()` method to calculate the annual balance update, taking into account the interest rate: | ||
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```rust | ||
annual_balance_update(200.75) | ||
// 201.75375 | ||
``` | ||
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## 4. Calculate the years before reaching the desired balance | ||
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Implement the `years_before_desired_balance()` method to calculate the minimum number of years required to reach the desired balance given annually compounding interest: | ||
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```rust | ||
years_before_desired_balance(200.75, 214.88) | ||
// 14 | ||
``` | ||
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Note that the value returned is an integer. | ||
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~~~~exercism/note | ||
When applying simple interest to a principal balance, the balance is multiplied by the interest rate and the product of the two is the interest amount. | ||
Compound interest on the other hand is done by applying interest on a recurring basis. | ||
On each application the interest amount is computed and added to the principal balance so that subsequent interest calculations are subject to a greater principal balance. | ||
~~~~ |
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exercises/concept/interest-is-interesting/.docs/introduction.md
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# Introduction | ||
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## Floating Point Numbers | ||
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A floating-point number is a number with zero or more digits behind the decimal | ||
separator. | ||
Examples are `-2.4`, `0.1`, `3.14`, `16.984025` and `1024.0`. | ||
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Different floating-point types can store different numbers of digits after the digit separator - this is referred to as its precision. | ||
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Rust implements the IEEE 754-2008 "binary32" and "binary64" floating-point types as `f32` and `f64`, respectively. | ||
The f32 type is a single-precision float, and f64 has double precision. | ||
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- `f32`: 32 bit floating point precision. Written as `2.45_f32`. | ||
- `f64`: 64 bit floating point precision. This is default in rust. Written as | ||
`2.45_f64`. | ||
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```rust | ||
fn main() { | ||
let x = 2.0; // f64 | ||
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let y: f32 = 3.0; // f32 | ||
} | ||
``` | ||
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As can be seen, each type can store a different number of digits. | ||
This means that trying to store PI in a `float` will only store the first 6 to 9 digits (with the last digit being rounded). | ||
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## Conditional Loops with while | ||
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In this exercise you may also want to use a loop. | ||
There are several ways to write loops in Rust, but the `while` loop is most appropriate here: | ||
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```rust | ||
let mut x = 10; | ||
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while x > 0 { | ||
// Execute logic if x > 10 | ||
x = x - 1; | ||
} | ||
``` | ||
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In the above example, we define a `while` loop with the condition `x > 0`. | ||
Since the initial value of `x` was set to `10` and we decrement it by 1 every | ||
loop, this will run the code inside the curly braces 10 times. |
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# Generated by Cargo | ||
# will have compiled files and executables | ||
/target/ | ||
**/*.rs.bk | ||
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# Remove Cargo.lock from gitignore if creating an executable, leave it for libraries | ||
# More information here http://doc.crates.io/guide.html#cargotoml-vs-cargolock | ||
Cargo.lock |
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exercises/concept/interest-is-interesting/.meta/config.json
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{ | ||
"authors": [ | ||
"devkabiir" | ||
], | ||
"forked_from": [ | ||
"csharp/interest-is-interesting" | ||
], | ||
"files": { | ||
"solution": [ | ||
"src/lib.rs", | ||
"Cargo.toml" | ||
], | ||
"test": [ | ||
"tests/interest-is-interesting.rs" | ||
], | ||
"exemplar": [ | ||
".meta/exemplar.rs" | ||
] | ||
}, | ||
"blurb": "Learn about floating point numbers by adding interest to savings accounts." | ||
} |
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# Design | ||
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## Learning objectives | ||
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- Know how number literals are represented in Rust | ||
- Know the different types of integer and floating point primitives | ||
- Know how to round floats | ||
- Know how to write while loops | ||
- Know how to use if statements | ||
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## Out of scope | ||
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- High precision floating point arithmetic. | ||
- Decimals and crates that provide such. | ||
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## Concepts | ||
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- Numbers | ||
- Integers | ||
- Floating point values (basic) | ||
- If statements | ||
- While loops | ||
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## Prerequisites | ||
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None | ||
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## Resources to refer to | ||
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### Hints | ||
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[Rust book - Scalar types](https://doc.rust-lang.org/stable/book/ch03-02-data-types.html?highlight=primitive#scalar-types) | ||
[cheats.rs - Basic Types](https://cheats.rs/#basic-types) | ||
[Rust reference - Integer literals](https://doc.rust-lang.org/stable/reference/tokens.html#integer-literals) | ||
[Rust reference - Floating point literals](https://doc.rust-lang.org/stable/reference/tokens.html#floating-point-literals) | ||
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### After | ||
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[Rust reference - Literals](https://doc.rust-lang.org/stable/reference/expressions/literal-expr.html) | ||
[Rust reference - Numeric types](https://doc.rust-lang.org/stable/reference/types/numeric.html) | ||
[Rust reference - Type cast expressions](https://doc.rust-lang.org/stable/reference/expressions/operator-expr.html#type-cast-expressions) | ||
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## Representer | ||
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This exercise does not require any specific representation logic to be added to the representer. | ||
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## Analyzer | ||
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This exercise does not require any specific logic to be added to the analyzer. |
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exercises/concept/interest-is-interesting/.meta/exemplar.rs
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pub fn interest_rate(balance: f64) -> f64 { | ||
if balance < 0.0 { | ||
3.213 | ||
} else if balance < 1000.0 { | ||
0.5 | ||
} else if balance < 5000.0 { | ||
1.621 | ||
} else { | ||
2.475 | ||
} | ||
} | ||
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pub fn interest(balance: f64) -> f64 { | ||
balance * interest_rate(balance) / 100.0 | ||
} | ||
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pub fn annual_balance_update(balance: f64) -> f64 { | ||
balance + interest(balance) | ||
} | ||
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pub fn years_before_desired_balance(balance: f64, target_balance: f64) -> u8 { | ||
let mut accumulating_balance = balance; | ||
let mut years = 0; | ||
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while accumulating_balance < target_balance { | ||
accumulating_balance = annual_balance_update(accumulating_balance); | ||
years += 1; | ||
} | ||
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years | ||
} |
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[package] | ||
name = "interest_is_interesting" | ||
version = "0.1.0" | ||
edition = "2021" |
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pub fn interest_rate(_balance: f64) -> f64 { | ||
unimplemented!("Implement interest_rate") | ||
} | ||
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pub fn interest(_balance: f64) -> f64 { | ||
unimplemented!("Implement interest") | ||
} | ||
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pub fn annual_balance_update(_balance: f64) -> f64 { | ||
unimplemented!("Implement annual_balance_update") | ||
} | ||
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pub fn years_before_desired_balance(_balance: f64, _target_balance: f64) -> u8 { | ||
unimplemented!("Implement years_before_desired_balance") | ||
} |
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