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// devela::num::dom::int::wrapper::impl_factors_alloc
//
//! Implements factors-related allocating methods for [`Int`].
//
// TOC
// - signed|unsigned:
// - allocating:
// - factors
// - factors_proper
// - factors_prime
// - factors_prime_unique
// - factors_prime_unique_exp
use crate::{BTreeSet, Hook, Int, Vec, is, paste, vec_ as vec};
/// Implements factors-related methods for [`Int`].
///
/// # Args.
/// $t: the input/output type
///
/// $d: the doclink suffix for the method name
macro_rules! __impl_int_factors_alloc {
() => {
__impl_int_factors_alloc![signed
i8 |"",
i16 |"-1",
i32 |"-2",
i64 |"-3",
i128 |"-4",
isize |"-5"
];
__impl_int_factors_alloc![unsigned
u8 |"-6",
u16 |"-7",
u32 |"-8",
u64 |"-9",
u128 |"-10",
usize |"-11"
];
};
(signed $( $t:ty | $d:literal ),+) => {
$( __impl_int_factors_alloc![@signed $t|$d]; )+
};
(unsigned $( $t:ty | $d:literal ),+) => {
$( __impl_int_factors_alloc![@unsigned $t|$d]; )+
};
(
// implements signed ops
@signed $t:ty | $d:literal) => { paste! {
///
#[doc = "# Integer factors related methods for `" $t "`\n\n"]
#[doc = " - [factors](#method.factors" $d ")"]
#[doc = " - [factors_proper](#method.factors_proper" $d ")"]
#[doc = " - [factors_prime](#method.factors_prime" $d ")"]
#[doc = " - [factors_prime_unique](#method.factors_prime_unique" $d ")"]
///
impl Int<$t> {
/* signed factors alloc */
/// Returns the factors (including 1 and self).
///
/// # Examples
/// ```
/// # use devela::Int;
#[doc = "assert_eq![Int(24_" $t
").factors(), vec![1, 2, 3, 4, 6, 8, 12, 24]];"]
#[doc = "assert_eq![Int(-24_" $t
").factors(), vec![1, 2, 3, 4, 6, 8, 12, 24]];"]
#[doc = "assert![Int(0_" $t ").factors().is_empty()];"]
#[doc = "assert_eq![Int(1_" $t ").factors(), vec![1]];"]
#[doc = "assert_eq![Int(7_" $t ").factors(), vec![1, 7]];"]
/// ```
#[must_use]
pub fn factors(self) -> Vec<$t> {
let n = self.0.abs();
is![n == 0, return vec![],
is![n == 1, return vec![1]]];
let mut set = BTreeSet::new();
set.insert(1);
for p in self.factors_prime_unique() {
let temp = set.clone();
let mut x = p;
while x <= n {
for &num in &temp {
let new_num = num * x;
is!{n % new_num == 0, {set.insert(new_num);} }
}
x *= p;
}
}
set.into_iter().collect()
}
/// Returns the proper factors.
///
/// # Examples
/// ```
/// # use devela::Int;
#[doc = "assert_eq![Int(24_" $t
").factors_proper(), vec![2, 3, 4, 6, 8, 12]];"]
#[doc = "assert_eq![Int(-24_" $t
").factors_proper(), vec![2, 3, 4, 6, 8, 12]];"]
#[doc = "assert![Int(0_" $t ").factors_proper().is_empty()];"]
#[doc = "assert![Int(1_" $t ").factors_proper().is_empty()];"]
#[doc = "assert![Int(7_" $t ").factors_proper().is_empty()];"]
/// ```
#[must_use]
pub fn factors_proper(self) -> Vec<$t> {
let n = self.0.abs();
is![n == 0, return vec![]];
let mut set = BTreeSet::new();
set.insert(1);
for p in self.factors_prime_unique() {
let temp = set.clone();
let mut x = p;
while x <= n {
for &num in &temp {
let new_num = num * x;
if n % new_num == 0 { set.insert(new_num); }
}
x *= p;
}
}
set.remove(&1);
set.remove(&n);
set.into_iter().collect()
}
/// Returns the prime factors.
///
/// # Examples
/// ```
/// # use devela::Int;
#[doc = "assert_eq![Int(24_" $t ").factors_prime(), vec![2, 2, 2, 3]];"]
#[doc = "assert_eq![Int(-24_" $t ").factors_prime(), vec![2, 2, 2, 3]];"]
#[doc = "assert![Int(0_" $t ").factors_prime().is_empty()];"]
#[doc = "assert![Int(1_" $t ").factors_prime().is_empty()];"]
#[doc = "assert_eq![Int(7_" $t ").factors_prime(), vec![7]];"]
/// ```
#[must_use]
pub fn factors_prime(self) -> Vec<$t> {
let mut factors = Vec::new();
let mut n = self.0.abs();
is![n == 0, return factors];
// Divide by 2 until the number is odd
while n % 2 == 0 {
factors.push(2);
n /= 2;
}
// Divide by odd numbers starting from 3
let mut i = 3;
while i * i <= n {
while n % i == 0 {
factors.push(i);
n /= i;
}
i += 2;
}
// If the remaining number is greater than 2, it's a prime factor
is![n > 2, factors.push(n)];
factors
}
/// Returns the unique prime factors.
///
/// # Examples
/// ```
/// # use devela::Int;
#[doc = "assert_eq![Int(24_" $t ").factors_prime_unique(), vec![2, 3]];"]
#[doc = "assert_eq![Int(-24_" $t ").factors_prime_unique(), vec![2, 3]];"]
/// ```
#[must_use]
pub fn factors_prime_unique(self) -> Vec<$t> {
self.factors_prime().hook(|v| v.dedup())
}
/// Returns the unique prime factors with its exponent.
///
/// # Examples
/// ```
/// # use devela::Int;
#[doc = "assert_eq![Int(24_" $t
").factors_prime_unique_exp(), vec![(2, 3), (3, 1)]];"]
#[doc = "assert_eq![Int(-24_" $t
").factors_prime_unique_exp(), vec![(2, 3), (3, 1)]];"]
#[doc = "assert![Int(0_" $t ").factors_prime_unique_exp().is_empty()];"]
#[doc = "assert![Int(1_" $t ").factors_prime_unique_exp().is_empty()];"]
#[doc = "assert_eq![Int(7_" $t ").factors_prime_unique_exp(), vec![(7, 1)]];"]
/// ```
#[must_use]
pub fn factors_prime_unique_exp(self) -> Vec<($t, u32)> {
let mut factors = Vec::new();
let mut current = None;
let mut count = 0;
for prime in self.factors_prime() {
match current {
Some(f) if f == prime => count += 1,
_ => {
is![let Some(f) = current, factors.push((f, count))];
current = Some(prime);
count = 1;
},
}
}
if let Some(f) = current { factors.push((f, count)); }
factors
}
}
}};
(
// implements unsigned ops
@unsigned $t:ty | $d:literal) => { paste! {
///
#[doc = "# Integer factors related methods for `" $t "`\n\n"]
#[doc = " - [factors](#method.factors" $d ")"]
#[doc = " - [factors_proper](#method.factors_proper" $d ")"]
#[doc = " - [factors_prime](#method.factors_prime" $d ")"]
#[doc = " - [factors_prime_unique](#method.factors_prime_unique" $d ")"]
///
impl Int<$t> {
/* unsigned factors alloc */
/// Returns the factors (including 1 and self).
///
/// # Examples
/// ```
/// # use devela::Int;
#[doc = "assert_eq![Int(24_" $t
").factors(), vec![1, 2, 3, 4, 6, 8, 12, 24]];"]
#[doc = "assert![Int(0_" $t ").factors().is_empty()];"]
#[doc = "assert_eq![Int(1_" $t ").factors(), vec![1]];"]
#[doc = "assert_eq![Int(7_" $t ").factors(), vec![1, 7]];"]
/// ```
#[must_use]
pub fn factors(self) -> Vec<$t> {
let n = self.0;
is![n == 0, return vec![], is![n == 1, return vec![1]]];
let mut set = BTreeSet::new();
set.insert(1);
for p in self.factors_prime_unique() {
let temp = set.clone();
let mut x = p;
while x <= n {
for &num in &temp {
let new_num = num * x;
if n % new_num == 0 { set.insert(new_num); }
}
x *= p;
}
}
set.into_iter().collect()
}
/// Returns the proper factors.
///
/// # Examples
/// ```
/// # use devela::Int;
#[doc = "assert_eq![Int(24_" $t
").factors_proper(), vec![2, 3, 4, 6, 8, 12]];"]
#[doc = "assert![Int(0_" $t ").factors_proper().is_empty()];"]
#[doc = "assert![Int(1_" $t ").factors_proper().is_empty()];"]
#[doc = "assert![Int(7_" $t ").factors_proper().is_empty()];"]
/// ```
#[must_use]
pub fn factors_proper(self) -> Vec<$t> {
let n = self.0;
is![n == 0, return vec![]];
let mut set = BTreeSet::new();
set.insert(1);
for p in self.factors_prime_unique() {
let temp = set.clone();
let mut x = p;
while x <= n {
for &num in &temp {
let new_num = num * x;
if n % new_num == 0 { set.insert(new_num); }
}
x *= p;
}
}
set.remove(&1);
set.remove(&n);
set.into_iter().collect()
}
/// Returns the prime factors.
///
/// # Examples
/// ```
/// # use devela::Int;
#[doc = "assert_eq![Int(24_" $t ").factors_prime(), vec![2, 2, 2, 3]];"]
#[doc = "assert![Int(0_" $t ").factors_prime().is_empty()];"]
#[doc = "assert![Int(1_" $t ").factors_prime().is_empty()];"]
#[doc = "assert_eq![Int(7_" $t ").factors_prime(), vec![7]];"]
/// ```
#[must_use]
pub fn factors_prime(self) -> Vec<$t> {
let mut factors = Vec::new();
let mut n = self.0;
is![n == 0, return factors];
// Divide by 2 until the number is odd
while n % 2 == 0 {
factors.push(2);
n /= 2;
}
// Divide by odd numbers starting from 3
let mut i = 3;
while i * i <= n {
while n % i == 0 {
factors.push(i);
n /= i;
}
i += 2;
}
// If the remaining number is greater than 2, it's a prime factor
is![n > 2, factors.push(n)];
factors
}
/// Returns the unique prime factors.
///
/// # Examples
/// ```
/// # use devela::Int;
#[doc = "assert_eq![Int(24_" $t ").factors_prime_unique(), vec![2, 3]];"]
/// ```
#[must_use]
pub fn factors_prime_unique(self) -> Vec<$t> {
self.factors_prime().hook(|v| v.dedup())
}
/// Returns the unique prime factors with its exponent.
///
/// # Examples
/// ```
/// # use devela::Int;
#[doc = "assert_eq![Int(24_" $t
").factors_prime_unique_exp(), vec![(2, 3), (3, 1)]];"]
#[doc = "assert![Int(0_" $t ").factors_prime_unique_exp().is_empty()];"]
#[doc = "assert![Int(1_" $t ").factors_prime_unique_exp().is_empty()];"]
#[doc = "assert_eq![Int(7_" $t ").factors_prime_unique_exp(), vec![(7, 1)]];"]
/// ```
#[must_use]
#[cfg(feature = "alloc")]
#[cfg_attr(nightly_doc, doc(cfg(feature = "alloc")))]
pub fn factors_prime_unique_exp(self) -> Vec<($t, u32)> {
let mut factors = Vec::new();
let mut current = None;
let mut count = 0;
for prime in self.factors_prime() {
match current {
Some(f) if f == prime => count += 1,
_ => {
if let Some(f) = current { factors.push((f, count)); }
current = Some(prime);
count = 1;
},
}
}
if let Some(f) = current { factors.push((f, count)); }
factors
}
}
}};
}
__impl_int_factors_alloc!();