Remove stock function benchmarks. Moved to another repo
This commit is contained in:
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|
|
||||||
"checksum hermit-abi 0.1.7 (registry+https://github.com/rust-lang/crates.io-index)" = "e2c55f143919fbc0bc77e427fe2d74cf23786d7c1875666f2fde3ac3c659bb67"
|
|
||||||
"checksum itertools 0.8.2 (registry+https://github.com/rust-lang/crates.io-index)" = "f56a2d0bc861f9165be4eb3442afd3c236d8a98afd426f65d92324ae1091a484"
|
|
||||||
"checksum itoa 0.4.5 (registry+https://github.com/rust-lang/crates.io-index)" = "b8b7a7c0c47db5545ed3fef7468ee7bb5b74691498139e4b3f6a20685dc6dd8e"
|
|
||||||
"checksum js-sys 0.3.35 (registry+https://github.com/rust-lang/crates.io-index)" = "7889c7c36282151f6bf465be4700359318aef36baa951462382eae49e9577cf9"
|
|
||||||
"checksum lazy_static 1.4.0 (registry+https://github.com/rust-lang/crates.io-index)" = "e2abad23fbc42b3700f2f279844dc832adb2b2eb069b2df918f455c4e18cc646"
|
|
||||||
"checksum libc 0.2.66 (registry+https://github.com/rust-lang/crates.io-index)" = "d515b1f41455adea1313a4a2ac8a8a477634fbae63cc6100e3aebb207ce61558"
|
|
||||||
"checksum log 0.4.8 (registry+https://github.com/rust-lang/crates.io-index)" = "14b6052be84e6b71ab17edffc2eeabf5c2c3ae1fdb464aae35ac50c67a44e1f7"
|
|
||||||
"checksum memchr 2.3.2 (registry+https://github.com/rust-lang/crates.io-index)" = "53445de381a1f436797497c61d851644d0e8e88e6140f22872ad33a704933978"
|
|
||||||
"checksum memoffset 0.5.3 (registry+https://github.com/rust-lang/crates.io-index)" = "75189eb85871ea5c2e2c15abbdd541185f63b408415e5051f5cac122d8c774b9"
|
|
||||||
"checksum nom 4.2.3 (registry+https://github.com/rust-lang/crates.io-index)" = "2ad2a91a8e869eeb30b9cb3119ae87773a8f4ae617f41b1eb9c154b2905f7bd6"
|
|
||||||
"checksum num-traits 0.2.11 (registry+https://github.com/rust-lang/crates.io-index)" = "c62be47e61d1842b9170f0fdeec8eba98e60e90e5446449a0545e5152acd7096"
|
|
||||||
"checksum num_cpus 1.12.0 (registry+https://github.com/rust-lang/crates.io-index)" = "46203554f085ff89c235cd12f7075f3233af9b11ed7c9e16dfe2560d03313ce6"
|
|
||||||
"checksum oorandom 11.1.0 (registry+https://github.com/rust-lang/crates.io-index)" = "ebcec7c9c2a95cacc7cd0ecb89d8a8454eca13906f6deb55258ffff0adeb9405"
|
|
||||||
"checksum plotters 0.2.12 (registry+https://github.com/rust-lang/crates.io-index)" = "4e3bb8da247d27ae212529352020f3e5ee16e83c0c258061d27b08ab92675eeb"
|
|
||||||
"checksum proc-macro2 1.0.8 (registry+https://github.com/rust-lang/crates.io-index)" = "3acb317c6ff86a4e579dfa00fc5e6cca91ecbb4e7eb2df0468805b674eb88548"
|
|
||||||
"checksum quote 1.0.2 (registry+https://github.com/rust-lang/crates.io-index)" = "053a8c8bcc71fcce321828dc897a98ab9760bef03a4fc36693c231e5b3216cfe"
|
|
||||||
"checksum rayon 1.3.0 (registry+https://github.com/rust-lang/crates.io-index)" = "db6ce3297f9c85e16621bb8cca38a06779ffc31bb8184e1be4bed2be4678a098"
|
|
||||||
"checksum rayon-core 1.7.0 (registry+https://github.com/rust-lang/crates.io-index)" = "08a89b46efaf957e52b18062fb2f4660f8b8a4dde1807ca002690868ef2c85a9"
|
|
||||||
"checksum regex 1.3.4 (registry+https://github.com/rust-lang/crates.io-index)" = "322cf97724bea3ee221b78fe25ac9c46114ebb51747ad5babd51a2fc6a8235a8"
|
|
||||||
"checksum regex-automata 0.1.8 (registry+https://github.com/rust-lang/crates.io-index)" = "92b73c2a1770c255c240eaa4ee600df1704a38dc3feaa6e949e7fcd4f8dc09f9"
|
|
||||||
"checksum regex-syntax 0.6.14 (registry+https://github.com/rust-lang/crates.io-index)" = "b28dfe3fe9badec5dbf0a79a9cccad2cfc2ab5484bdb3e44cbd1ae8b3ba2be06"
|
|
||||||
"checksum rustc_version 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)" = "138e3e0acb6c9fb258b19b67cb8abd63c00679d2851805ea151465464fe9030a"
|
|
||||||
"checksum ryu 1.0.2 (registry+https://github.com/rust-lang/crates.io-index)" = "bfa8506c1de11c9c4e4c38863ccbe02a305c8188e85a05a784c9e11e1c3910c8"
|
|
||||||
"checksum same-file 1.0.6 (registry+https://github.com/rust-lang/crates.io-index)" = "93fc1dc3aaa9bfed95e02e6eadabb4baf7e3078b0bd1b4d7b6b0b68378900502"
|
|
||||||
"checksum scopeguard 1.1.0 (registry+https://github.com/rust-lang/crates.io-index)" = "d29ab0c6d3fc0ee92fe66e2d99f700eab17a8d57d1c1d3b748380fb20baa78cd"
|
|
||||||
"checksum semver 0.9.0 (registry+https://github.com/rust-lang/crates.io-index)" = "1d7eb9ef2c18661902cc47e535f9bc51b78acd254da71d375c2f6720d9a40403"
|
|
||||||
"checksum semver-parser 0.7.0 (registry+https://github.com/rust-lang/crates.io-index)" = "388a1df253eca08550bef6c72392cfe7c30914bf41df5269b68cbd6ff8f570a3"
|
|
||||||
"checksum serde 1.0.104 (registry+https://github.com/rust-lang/crates.io-index)" = "414115f25f818d7dfccec8ee535d76949ae78584fc4f79a6f45a904bf8ab4449"
|
|
||||||
"checksum serde_derive 1.0.104 (registry+https://github.com/rust-lang/crates.io-index)" = "128f9e303a5a29922045a830221b8f78ec74a5f544944f3d5984f8ec3895ef64"
|
|
||||||
"checksum serde_json 1.0.48 (registry+https://github.com/rust-lang/crates.io-index)" = "9371ade75d4c2d6cb154141b9752cf3781ec9c05e0e5cf35060e1e70ee7b9c25"
|
|
||||||
"checksum sourcefile 0.1.4 (registry+https://github.com/rust-lang/crates.io-index)" = "4bf77cb82ba8453b42b6ae1d692e4cdc92f9a47beaf89a847c8be83f4e328ad3"
|
|
||||||
"checksum syn 1.0.14 (registry+https://github.com/rust-lang/crates.io-index)" = "af6f3550d8dff9ef7dc34d384ac6f107e5d31c8f57d9f28e0081503f547ac8f5"
|
|
||||||
"checksum textwrap 0.11.0 (registry+https://github.com/rust-lang/crates.io-index)" = "d326610f408c7a4eb6f51c37c330e496b08506c9457c9d34287ecc38809fb060"
|
|
||||||
"checksum tinytemplate 1.0.3 (registry+https://github.com/rust-lang/crates.io-index)" = "57a3c6667d3e65eb1bc3aed6fd14011c6cbc3a0665218ab7f5daf040b9ec371a"
|
|
||||||
"checksum unicode-segmentation 1.6.0 (registry+https://github.com/rust-lang/crates.io-index)" = "e83e153d1053cbb5a118eeff7fd5be06ed99153f00dbcd8ae310c5fb2b22edc0"
|
|
||||||
"checksum unicode-width 0.1.7 (registry+https://github.com/rust-lang/crates.io-index)" = "caaa9d531767d1ff2150b9332433f32a24622147e5ebb1f26409d5da67afd479"
|
|
||||||
"checksum unicode-xid 0.2.0 (registry+https://github.com/rust-lang/crates.io-index)" = "826e7639553986605ec5979c7dd957c7895e93eabed50ab2ffa7f6128a75097c"
|
|
||||||
"checksum version_check 0.1.5 (registry+https://github.com/rust-lang/crates.io-index)" = "914b1a6776c4c929a602fafd8bc742e06365d4bcbe48c30f9cca5824f70dc9dd"
|
|
||||||
"checksum walkdir 2.3.1 (registry+https://github.com/rust-lang/crates.io-index)" = "777182bc735b6424e1a57516d35ed72cb8019d85c8c9bf536dccb3445c1a2f7d"
|
|
||||||
"checksum wasm-bindgen 0.2.58 (registry+https://github.com/rust-lang/crates.io-index)" = "5205e9afdf42282b192e2310a5b463a6d1c1d774e30dc3c791ac37ab42d2616c"
|
|
||||||
"checksum wasm-bindgen-backend 0.2.58 (registry+https://github.com/rust-lang/crates.io-index)" = "11cdb95816290b525b32587d76419facd99662a07e59d3cdb560488a819d9a45"
|
|
||||||
"checksum wasm-bindgen-macro 0.2.58 (registry+https://github.com/rust-lang/crates.io-index)" = "574094772ce6921576fb6f2e3f7497b8a76273b6db092be18fc48a082de09dc3"
|
|
||||||
"checksum wasm-bindgen-macro-support 0.2.58 (registry+https://github.com/rust-lang/crates.io-index)" = "e85031354f25eaebe78bb7db1c3d86140312a911a106b2e29f9cc440ce3e7668"
|
|
||||||
"checksum wasm-bindgen-shared 0.2.58 (registry+https://github.com/rust-lang/crates.io-index)" = "f5e7e61fc929f4c0dddb748b102ebf9f632e2b8d739f2016542b4de2965a9601"
|
|
||||||
"checksum wasm-bindgen-webidl 0.2.58 (registry+https://github.com/rust-lang/crates.io-index)" = "ef012a0d93fc0432df126a8eaf547b2dce25a8ce9212e1d3cbeef5c11157975d"
|
|
||||||
"checksum web-sys 0.3.35 (registry+https://github.com/rust-lang/crates.io-index)" = "aaf97caf6aa8c2b1dac90faf0db529d9d63c93846cca4911856f78a83cebf53b"
|
|
||||||
"checksum weedle 0.10.0 (registry+https://github.com/rust-lang/crates.io-index)" = "3bb43f70885151e629e2a19ce9e50bd730fd436cfd4b666894c9ce4de9141164"
|
|
||||||
"checksum winapi 0.3.8 (registry+https://github.com/rust-lang/crates.io-index)" = "8093091eeb260906a183e6ae1abdba2ef5ef2257a21801128899c3fc699229c6"
|
|
||||||
"checksum winapi-i686-pc-windows-gnu 0.4.0 (registry+https://github.com/rust-lang/crates.io-index)" = "ac3b87c63620426dd9b991e5ce0329eff545bccbbb34f3be09ff6fb6ab51b7b6"
|
|
||||||
"checksum winapi-util 0.1.3 (registry+https://github.com/rust-lang/crates.io-index)" = "4ccfbf554c6ad11084fb7517daca16cfdcaccbdadba4fc336f032a8b12c2ad80"
|
|
||||||
"checksum winapi-x86_64-pc-windows-gnu 0.4.0 (registry+https://github.com/rust-lang/crates.io-index)" = "712e227841d057c1ee1cd2fb22fa7e5a5461ae8e48fa2ca79ec42cfc1931183f"
|
|
||||||
|
|||||||
@ -8,14 +8,7 @@ edition = "2018"
|
|||||||
|
|
||||||
[dependencies]
|
[dependencies]
|
||||||
|
|
||||||
[dev-dependencies]
|
|
||||||
criterion = "0.3"
|
|
||||||
|
|
||||||
[features]
|
[features]
|
||||||
default = ["std"]
|
default = ["std"]
|
||||||
alloc = []
|
alloc = []
|
||||||
std = ["alloc"]
|
std = ["alloc"]
|
||||||
|
|
||||||
[[bench]]
|
|
||||||
name = "stock_functions"
|
|
||||||
harness = false
|
|
||||||
|
|||||||
@ -1,110 +0,0 @@
|
|||||||
use criterion::{criterion_group, criterion_main};
|
|
||||||
#[cfg(not(tarpaulin_include))]
|
|
||||||
mod sf {
|
|
||||||
use criterion::{black_box, BenchmarkId, Criterion};
|
|
||||||
use rusty_numbers::num::Unsigned;
|
|
||||||
use rusty_numbers::{factorial, fibonacci, it_factorial, mem_fibonacci, rec_fibonacci};
|
|
||||||
|
|
||||||
pub fn bench_factorial(c: &mut Criterion) {
|
|
||||||
let mut group = c.benchmark_group("Factorials");
|
|
||||||
|
|
||||||
for i in [0usize, 5, 10, 15, 20, 25, 30, 34].iter() {
|
|
||||||
group.bench_with_input(BenchmarkId::new("Recursive naive", i), i, |b, i| {
|
|
||||||
b.iter(|| factorial(black_box(*i)))
|
|
||||||
});
|
|
||||||
group.bench_with_input(BenchmarkId::new("Iterative", i), i, |b, i| {
|
|
||||||
b.iter(|| it_factorial(black_box(*i)))
|
|
||||||
});
|
|
||||||
}
|
|
||||||
group.finish();
|
|
||||||
}
|
|
||||||
|
|
||||||
pub fn bench_fibonacci(c: &mut Criterion) {
|
|
||||||
let mut group = c.benchmark_group("Fibonacci");
|
|
||||||
|
|
||||||
for i in [0usize, 10, 20, 30, 40, 50, 70, 93, 140, 186].iter() {
|
|
||||||
group.bench_with_input(BenchmarkId::new("Recursive memoized", i), i, |b, i| {
|
|
||||||
b.iter(|| mem_fibonacci(black_box(*i)))
|
|
||||||
});
|
|
||||||
group.bench_with_input(BenchmarkId::new("Iterative", i), i, |b, i| {
|
|
||||||
b.iter(|| fibonacci(black_box(*i)))
|
|
||||||
});
|
|
||||||
}
|
|
||||||
|
|
||||||
group.finish();
|
|
||||||
|
|
||||||
let mut group = c.benchmark_group("Recursive Fibonacci");
|
|
||||||
for i in [0usize, 10, 20, 25, 26, 27, 28, 29, 30].iter() {
|
|
||||||
group.bench_with_input(BenchmarkId::new("Naive Recursive", i), i, |b, i| {
|
|
||||||
b.iter(|| rec_fibonacci(black_box(*i)))
|
|
||||||
});
|
|
||||||
}
|
|
||||||
group.finish();
|
|
||||||
}
|
|
||||||
|
|
||||||
pub fn bench_gcd(c: &mut Criterion) {
|
|
||||||
let mut group = c.benchmark_group("GCD");
|
|
||||||
|
|
||||||
#[derive(Debug)]
|
|
||||||
struct Gcd {
|
|
||||||
left: u128,
|
|
||||||
right: u128,
|
|
||||||
left_fib: u128,
|
|
||||||
right_fib: u128,
|
|
||||||
}
|
|
||||||
|
|
||||||
impl Gcd {
|
|
||||||
fn new(left: u128, right: u128) -> Self {
|
|
||||||
Gcd {
|
|
||||||
left,
|
|
||||||
right,
|
|
||||||
left_fib: fibonacci(left as usize).unwrap(),
|
|
||||||
right_fib: fibonacci(right as usize).unwrap(),
|
|
||||||
}
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
let max = Gcd::new(185, 186);
|
|
||||||
let med = Gcd::new(92, 93);
|
|
||||||
let small = Gcd::new(14, 15);
|
|
||||||
|
|
||||||
for input in [small, med, max].iter() {
|
|
||||||
group.bench_with_input(
|
|
||||||
BenchmarkId::new("Binary", input.left),
|
|
||||||
input,
|
|
||||||
|bench, input| {
|
|
||||||
let a = input.left_fib;
|
|
||||||
let b = input.right_fib;
|
|
||||||
bench.iter(|| u128::gcd(black_box(a), black_box(b)))
|
|
||||||
},
|
|
||||||
);
|
|
||||||
group.bench_with_input(
|
|
||||||
BenchmarkId::new("Stein", input.left),
|
|
||||||
input,
|
|
||||||
|bench, input| {
|
|
||||||
let a = input.left_fib;
|
|
||||||
let b = input.right_fib;
|
|
||||||
bench.iter(|| u128::stein_gcd(black_box(a), black_box(b)))
|
|
||||||
},
|
|
||||||
);
|
|
||||||
group.bench_with_input(
|
|
||||||
BenchmarkId::new("Euclid", input.left),
|
|
||||||
input,
|
|
||||||
|bench, input| {
|
|
||||||
let a = input.left_fib;
|
|
||||||
let b = input.right_fib;
|
|
||||||
bench.iter(|| u128::e_gcd(black_box(a), black_box(b)))
|
|
||||||
},
|
|
||||||
);
|
|
||||||
}
|
|
||||||
group.finish();
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
criterion_group!(
|
|
||||||
benches,
|
|
||||||
sf::bench_factorial,
|
|
||||||
sf::bench_fibonacci,
|
|
||||||
sf::bench_gcd
|
|
||||||
);
|
|
||||||
criterion_main!(benches);
|
|
||||||
275
src/lib.rs
275
src/lib.rs
@ -12,282 +12,7 @@ extern crate alloc;
|
|||||||
#[macro_use]
|
#[macro_use]
|
||||||
extern crate std;
|
extern crate std;
|
||||||
|
|
||||||
#[cfg(feature = "std")]
|
|
||||||
use core::f64::consts::{E, PI};
|
|
||||||
|
|
||||||
pub mod bigint;
|
pub mod bigint;
|
||||||
pub mod num;
|
pub mod num;
|
||||||
pub mod rational;
|
pub mod rational;
|
||||||
|
|
||||||
/// Calculate a number in the fibonacci sequence,
|
|
||||||
/// using recursion and a lookup table
|
|
||||||
///
|
|
||||||
/// Can calculate up to 186 using native unsigned 128 bit integers.
|
|
||||||
///
|
|
||||||
/// Example:
|
|
||||||
/// ```rust
|
|
||||||
/// use rusty_numbers::mem_fibonacci;
|
|
||||||
///
|
|
||||||
/// let valid = mem_fibonacci(45); // Some(1134903170)
|
|
||||||
/// # assert_eq!(1134903170, mem_fibonacci(45).unwrap());
|
|
||||||
/// # assert!(valid.is_some());
|
|
||||||
///
|
|
||||||
/// let invalid = mem_fibonacci(187); // None
|
|
||||||
/// # assert!(invalid.is_none());
|
|
||||||
/// ```
|
|
||||||
#[inline]
|
|
||||||
pub fn mem_fibonacci(n: usize) -> Option<u128> {
|
|
||||||
let mut table = [0u128; 187];
|
|
||||||
table[0] = 0;
|
|
||||||
table[1] = 1;
|
|
||||||
table[2] = 1;
|
|
||||||
|
|
||||||
/// Actual calculating function for `fibonacci`
|
|
||||||
fn f(n: usize, table: &mut [u128]) -> Option<u128> {
|
|
||||||
if n < 2 {
|
|
||||||
// The first values are predefined.
|
|
||||||
return Some(table[n]);
|
|
||||||
}
|
|
||||||
|
|
||||||
if n > 186 {
|
|
||||||
return None;
|
|
||||||
}
|
|
||||||
|
|
||||||
match table[n] {
|
|
||||||
// The lookup array starts out zeroed, so a zero
|
|
||||||
// is a not yet calculated value
|
|
||||||
0 => {
|
|
||||||
let a = f(n - 1, table)?;
|
|
||||||
let b = f(n - 2, table)?;
|
|
||||||
|
|
||||||
table[n] = a + b;
|
|
||||||
|
|
||||||
Some(table[n])
|
|
||||||
}
|
|
||||||
x => Some(x),
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
f(n, &mut table)
|
|
||||||
}
|
|
||||||
|
|
||||||
/// Calculate a number in the fibonacci sequence,
|
|
||||||
/// using naive recursion
|
|
||||||
///
|
|
||||||
/// REALLY SLOW
|
|
||||||
///
|
|
||||||
/// Can calculate up to 186 using native unsigned 128 bit integers.
|
|
||||||
#[inline]
|
|
||||||
pub fn rec_fibonacci(n: usize) -> Option<u128> {
|
|
||||||
if matches!(n, 0 | 1) {
|
|
||||||
Some(n as u128)
|
|
||||||
} else {
|
|
||||||
let a = rec_fibonacci(n - 1)?;
|
|
||||||
let b = rec_fibonacci(n - 2)?;
|
|
||||||
|
|
||||||
a.checked_add(b)
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
/// Calculate a number in the fibonacci sequence,
|
|
||||||
///
|
|
||||||
/// Can calculate up to 186 using native unsigned 128 bit integers.
|
|
||||||
///
|
|
||||||
/// Example:
|
|
||||||
/// ```rust
|
|
||||||
/// use rusty_numbers::fibonacci;
|
|
||||||
///
|
|
||||||
/// let valid = fibonacci(45); // Some(1134903170)
|
|
||||||
/// # assert_eq!(1134903170, fibonacci(45).unwrap());
|
|
||||||
/// # assert!(valid.is_some());
|
|
||||||
///
|
|
||||||
/// let invalid = fibonacci(187); // None
|
|
||||||
/// # assert!(invalid.is_none());
|
|
||||||
/// ```
|
|
||||||
#[inline]
|
|
||||||
pub fn fibonacci(n: usize) -> Option<u128> {
|
|
||||||
let mut a: u128 = 0;
|
|
||||||
let mut b: u128 = 1;
|
|
||||||
|
|
||||||
if matches!(n, 0 | 1) {
|
|
||||||
Some(n as u128)
|
|
||||||
} else {
|
|
||||||
for _ in 0..n - 1 {
|
|
||||||
let c: u128 = a.checked_add(b)?;
|
|
||||||
|
|
||||||
a = b;
|
|
||||||
b = c;
|
|
||||||
}
|
|
||||||
|
|
||||||
Some(b)
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
/// Calculate the value of a factorial iteratively
|
|
||||||
///
|
|
||||||
/// Can calculate up to 34! using native unsigned 128 bit integers.
|
|
||||||
///
|
|
||||||
/// Example:
|
|
||||||
/// ```rust
|
|
||||||
/// use rusty_numbers::factorial;
|
|
||||||
///
|
|
||||||
/// let valid = factorial(3); // Some(6)
|
|
||||||
/// # assert_eq!(6, valid.unwrap());
|
|
||||||
///
|
|
||||||
/// let invalid = factorial(35); // None
|
|
||||||
/// # assert!(invalid.is_none());
|
|
||||||
/// ```
|
|
||||||
#[inline]
|
|
||||||
pub fn it_factorial(n: usize) -> Option<u128> {
|
|
||||||
let mut total: u128 = 1;
|
|
||||||
|
|
||||||
if matches!(n, 0 | 1) {
|
|
||||||
Some(1u128)
|
|
||||||
} else {
|
|
||||||
for x in 1..=n {
|
|
||||||
total = total.checked_mul(x as u128)?;
|
|
||||||
}
|
|
||||||
|
|
||||||
Some(total)
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
/// Calculate the value of a factorial recrursively
|
|
||||||
///
|
|
||||||
/// Can calculate up to 34! using native unsigned 128 bit integers.
|
|
||||||
///
|
|
||||||
/// Example:
|
|
||||||
/// ```rust
|
|
||||||
/// use rusty_numbers::factorial;
|
|
||||||
///
|
|
||||||
/// let valid = factorial(3); // Some(6)
|
|
||||||
/// # assert_eq!(6, valid.unwrap());
|
|
||||||
///
|
|
||||||
/// let invalid = factorial(35); // None
|
|
||||||
/// # assert!(invalid.is_none());
|
|
||||||
/// ```
|
|
||||||
#[inline]
|
|
||||||
pub fn factorial(n: usize) -> Option<u128> {
|
|
||||||
if matches!(n, 0 | 1) {
|
|
||||||
Some(1u128)
|
|
||||||
} else {
|
|
||||||
let prev = factorial(n - 1)?;
|
|
||||||
|
|
||||||
(n as u128).checked_mul(prev)
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
/// Approximates a factorial using Stirling's approximation
|
|
||||||
///
|
|
||||||
/// Based on https://en.wikipedia.org/wiki/Stirling's_approximation
|
|
||||||
///
|
|
||||||
/// Can approximate up to ~ 170.624!
|
|
||||||
///
|
|
||||||
/// Example:
|
|
||||||
/// ```rust
|
|
||||||
/// use rusty_numbers::approx_factorial;
|
|
||||||
///
|
|
||||||
/// let valid = approx_factorial(170.6); // Some(..)
|
|
||||||
/// # assert!(valid.is_some());
|
|
||||||
///
|
|
||||||
/// let invalid = approx_factorial(171.0); // None
|
|
||||||
/// # assert!(invalid.is_none());
|
|
||||||
/// ```
|
|
||||||
#[cfg(feature = "std")]
|
|
||||||
#[inline]
|
|
||||||
pub fn approx_factorial(n: f64) -> Option<f64> {
|
|
||||||
let power = (n / E).powf(n);
|
|
||||||
let root = (PI * 2.0 * n).sqrt();
|
|
||||||
|
|
||||||
let res = power * root;
|
|
||||||
|
|
||||||
if res >= core::f64::MIN && res <= core::f64::MAX {
|
|
||||||
Some(res)
|
|
||||||
} else {
|
|
||||||
None
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
#[cfg(test)]
|
|
||||||
#[cfg(not(tarpaulin_include))]
|
|
||||||
mod tests {
|
|
||||||
use super::*;
|
|
||||||
|
|
||||||
#[test]
|
|
||||||
fn test_factorial() {
|
|
||||||
for pair in [[1usize, 0], [1, 1], [2, 2], [6, 3]].iter() {
|
|
||||||
assert_eq!(
|
|
||||||
Some(pair[0] as u128),
|
|
||||||
factorial(pair[1]),
|
|
||||||
"{}! should be {}",
|
|
||||||
pair[1],
|
|
||||||
pair[0]
|
|
||||||
);
|
|
||||||
assert_eq!(
|
|
||||||
Some(pair[0] as u128),
|
|
||||||
it_factorial(pair[1]),
|
|
||||||
"{}! should be {}",
|
|
||||||
pair[1],
|
|
||||||
pair[0]
|
|
||||||
);
|
|
||||||
}
|
|
||||||
|
|
||||||
// Verify each implementation returns the same results
|
|
||||||
let res = factorial(34);
|
|
||||||
let res2 = it_factorial(34);
|
|
||||||
assert!(res.is_some());
|
|
||||||
assert!(res2.is_some());
|
|
||||||
assert_eq!(res, res2);
|
|
||||||
|
|
||||||
// Bounds checks
|
|
||||||
assert!(factorial(35).is_none());
|
|
||||||
assert!(it_factorial(35).is_none());
|
|
||||||
}
|
|
||||||
|
|
||||||
#[cfg(feature = "std")]
|
|
||||||
#[test]
|
|
||||||
fn test_approx_factorial() {
|
|
||||||
assert!(approx_factorial(170.624).is_some());
|
|
||||||
assert!(approx_factorial(1.0).is_some());
|
|
||||||
assert!(approx_factorial(170.7).is_none());
|
|
||||||
}
|
|
||||||
|
|
||||||
#[test]
|
|
||||||
fn test_fibonacci() {
|
|
||||||
// Sanity checking
|
|
||||||
for pair in [[0usize, 0], [1, 1], [1, 2], [2, 3]].iter() {
|
|
||||||
assert_eq!(
|
|
||||||
Some(pair[0] as u128),
|
|
||||||
fibonacci(pair[1]),
|
|
||||||
"fibonacci({}) should be {}",
|
|
||||||
pair[1],
|
|
||||||
pair[0]
|
|
||||||
);
|
|
||||||
assert_eq!(
|
|
||||||
Some(pair[0] as u128),
|
|
||||||
mem_fibonacci(pair[1]),
|
|
||||||
"fibonacci({}) should be {}",
|
|
||||||
pair[1],
|
|
||||||
pair[0]
|
|
||||||
);
|
|
||||||
assert_eq!(
|
|
||||||
Some(pair[0] as u128),
|
|
||||||
rec_fibonacci(pair[1]),
|
|
||||||
"fibonacci({}) should be {}",
|
|
||||||
pair[1],
|
|
||||||
pair[0]
|
|
||||||
);
|
|
||||||
}
|
|
||||||
|
|
||||||
// Verify each implementation returns the same results
|
|
||||||
let res = fibonacci(186);
|
|
||||||
let res2 = mem_fibonacci(186);
|
|
||||||
assert!(res.is_some());
|
|
||||||
assert!(res2.is_some());
|
|
||||||
assert_eq!(res, res2);
|
|
||||||
|
|
||||||
// Bounds checks
|
|
||||||
assert!(fibonacci(187).is_none());
|
|
||||||
assert!(mem_fibonacci(187).is_none());
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|||||||
Loading…
Reference in New Issue
Block a user