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Timothy Warren 2020-02-20 17:13:46 -05:00
parent 41de3f983a
commit 75fe940ffc
6 changed files with 799 additions and 31 deletions

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Cargo.lock generated
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View File

@ -7,3 +7,10 @@ edition = "2018"
# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
[dependencies]
[dev-dependencies]
criterion = "0.3"
[[bench]]
name = "stock_functions"
harness = false

View File

@ -0,0 +1,41 @@
use criterion::{black_box, criterion_group, criterion_main, Criterion};
use rusty_numbers::{factorial, fibonacci, rec_factorial, rec_fibonacci};
fn bench_factorial(c: &mut Criterion) {
let mut group = c.benchmark_group("Factorials");
// Recursive with lookup table
group.bench_function("factorial", |b| b.iter(|| factorial(34)));
group.bench_function("factorial black box", |b| {
b.iter(|| factorial(black_box(34)))
});
// Naive recursive
group.bench_function("rec_factorial", |b| b.iter(|| rec_factorial(34)));
group.bench_function("rec_factorial black box", |b| {
b.iter(|| rec_factorial(black_box(34)))
});
group.finish();
}
fn bench_fibonacci(c: &mut Criterion) {
let mut group = c.benchmark_group("Fibonacci");
// Recursive with lookup table
group.bench_function("fibonacci", |b| b.iter(|| fibonacci(86)));
group.bench_function("fibonacci black box", |b| {
b.iter(|| fibonacci(black_box(86)))
});
// Naive recursive
group.bench_function("rec_fibonacci", |b| b.iter(|| rec_fibonacci(86)));
group.bench_function("rec_fibonacci black box", |b| {
b.iter(|| rec_fibonacci(black_box(86)))
});
group.finish();
}
criterion_group!(benches, bench_factorial, bench_fibonacci);
criterion_main!(benches);

View File

@ -24,6 +24,7 @@ pub mod rational;
/// let invalid = fibonacci(187); // None
/// # assert!(invalid.is_none());
/// ```
#[inline]
pub fn fibonacci(n: usize) -> Option<u128> {
let mut table: Vec<u128> = vec![0, 1, 1, 2, 3, 5];
@ -51,6 +52,45 @@ fn _fibonacci(n: usize, table: &mut Vec<u128>) -> Option<u128> {
}
}
/// Calculate a number in the fibonacci sequence,
/// using naive recursion
///
/// Can calculate up to 186 using native unsigned 128 bit integers.
#[inline]
pub fn rec_fibonacci(n: usize) -> Option<u128> {
match n {
0 => Some(0),
1 => Some(1),
n => {
let a = rec_fibonacci(n - 1)?;
let b = rec_fibonacci(n - 2)?;
a.checked_add(b)
},
}
}
#[inline]
pub fn it_fibonacci(n: usize) -> Option<u128> {
let mut a:u128 = 0;
let mut b:u128 = 1;
match n {
0 => Some(a),
1 => Some(b),
_ => {
for _ in 0..n-1 {
let c: u128 = a.checked_add(b)?;
a = b;
b = c;
}
Some(b)
}
}
}
/// Calculate the value of a factorial,
/// using a lookup table for better worst-case performance.
///
@ -66,6 +106,7 @@ fn _fibonacci(n: usize, table: &mut Vec<u128>) -> Option<u128> {
/// let invalid = factorial(35); // None
/// # assert!(invalid.is_none());
/// ```
#[inline]
pub fn factorial(n: usize) -> Option<u128> {
let mut table: Vec<u128> = vec![1, 1, 2];
@ -99,6 +140,22 @@ fn _factorial(n: usize, table: &mut Vec<u128>) -> Option<u128> {
}
}
/// Calculate the value of a factorial using recursion
///
/// Can calculate up to 34! using native unsigned 128 bit integers.
#[inline]
pub fn rec_factorial(n: usize) -> Option<u128> {
match n {
0 => Some(1u128),
1 => Some(1u128),
_ => {
let prev = rec_factorial(n - 1)?;
(n as u128).checked_mul(prev)
}
}
}
#[cfg(test)]
#[cfg_attr(tarpaulin, skip)]
mod tests {
@ -111,7 +168,9 @@ mod tests {
assert_eq!(6, factorial(3).unwrap());
let res = factorial(34);
let res2 = rec_factorial(34);
assert!(res.is_some());
assert_eq!(res.unwrap(), res2.unwrap());
let res = factorial(35);
assert!(res.is_none());
@ -124,7 +183,10 @@ mod tests {
assert_eq!(1, fibonacci(2).unwrap());
let res = fibonacci(186);
let res2 = it_fibonacci(186);
assert!(res.is_some());
assert!(res2.is_some());
assert_eq!(res.unwrap(), res2.unwrap());
let res = fibonacci(187);
assert!(res.is_none());

View File

@ -217,7 +217,10 @@ macro_rules! impl_unsigned {
};
}
impl_empty!(Num, (i8, u8, i16, u16, i32, u32, i64, u64, i128, u128, isize, usize));
impl_empty!(
Num,
(i8, u8, i16, u16, i32, u32, i64, u64, i128, u128, isize, usize)
);
impl_int!(
(i8, u8),
(u8, u8),