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use num_bigint::BigInt;
use num_traits::cast::ToPrimitive;
use num_traits::pow::Pow;
use num_traits::{FromPrimitive, Signed};
use std::fmt::{Display, Formatter};
pub enum Num {
Int(BigInt),
Float(f64),
}
pub fn int(i: BigInt) -> Num {
Num::Int(i)
}
pub fn float(f: f64) -> Num {
Num::Float(f)
}
fn float_from_int(i: &BigInt) -> f64 {
if let Some(f) = i.to_f64() {
return f;
}
if i > &BigInt::ZERO {
std::f64::INFINITY
} else {
std::f64::NEG_INFINITY
}
}
impl Num {
fn as_float(&self) -> f64 {
match self {
Num::Int(i) => float_from_int(i),
Num::Float(f) => *f,
}
}
pub fn pow(self, other: Num) -> Num {
match (self, other) {
(Num::Int(i1), Num::Int(i2)) => {
if i2 < BigInt::ZERO {
return float(float_from_int(&i1).powf(float_from_int(&i2)));
}
let (_, u2) = i2.into_parts();
int(i1.pow(u2))
}
(n1, n2) => float(n1.as_float().powf(n2.as_float())),
}
}
pub fn mul(self, other: Num) -> Num {
match (self, other) {
(Num::Int(i1), Num::Int(i2)) => int(i1 * i2),
(n1, n2) => float(n1.as_float() * n2.as_float()),
}
}
pub fn div(self, other: Num) -> Num {
float(self.as_float() / other.as_float())
}
pub fn int_div(self, other: Num) -> Num {
match (self, other) {
(Num::Int(i1), Num::Int(i2)) => int(i1 / i2),
(Num::Float(f1), Num::Float(f2)) => {
let r = f1 / f2;
if let Some(i) = BigInt::from_f64(r) {
return int(i);
}
float(r)
}
(Num::Int(i), Num::Float(f)) => {
if let Some(fi) = BigInt::from_f64(f) {
return int(i / fi);
}
float(float_from_int(&i) / f)
}
(Num::Float(f), Num::Int(i)) => {
if let Some(fi) = BigInt::from_f64(f) {
return int(fi / i);
}
float(f / float_from_int(&i))
}
}
}
pub fn add(self, other: Num) -> Num {
match (self, other) {
(Num::Int(i1), Num::Int(i2)) => int(i1 + i2),
(n1, n2) => float(n1.as_float() + n2.as_float()),
}
}
pub fn sub(self, other: Num) -> Num {
match (self, other) {
(Num::Int(i1), Num::Int(i2)) => int(i1 - i2),
(n1, n2) => Num::Float(n1.as_float() - n2.as_float()),
}
}
pub fn sin(self) -> Num {
float(self.as_float().sin())
}
pub fn cos(self) -> Num {
float(self.as_float().cos())
}
pub fn tan(self) -> Num {
float(self.as_float().tan())
}
pub fn sqrt(self) -> Num {
match self {
Num::Int(i) if i >= BigInt::ZERO => {
let s = i.sqrt();
if i != &s * &s {
return float(float_from_int(&i).sqrt());
}
int(s)
}
n => float(n.as_float().sqrt()),
}
}
pub fn log(self) -> Num {
float(self.as_float().ln())
}
pub fn log10(self) -> Num {
float(self.as_float().log10())
}
pub fn log2(self) -> Num {
float(self.as_float().log2())
}
pub fn floor(self) -> Num {
match self {
Num::Int(i) => int(i),
Num::Float(f) => {
if let Some(i) = BigInt::from_f64(f.floor()) {
return int(i);
}
float(f)
}
}
}
pub fn ceil(self) -> Num {
match self {
Num::Int(i) => int(i),
Num::Float(f) => {
if let Some(i) = BigInt::from_f64(f.ceil()) {
return int(i);
}
float(f)
}
}
}
pub fn round(self) -> Num {
match self {
Num::Int(i) => int(i),
Num::Float(f) => {
if let Some(i) = BigInt::from_f64(f.round_ties_even()) {
return int(i);
}
float(f)
}
}
}
pub fn abs(self) -> Num {
match self {
Num::Int(i) => int(i.abs()),
Num::Float(f) => float(f.abs()),
}
}
}
fn format_float(f: f64) -> String {
let mut s = format!("{f:.7}");
while let Some(b'0') = s.as_bytes().get(s.len() - 1) {
s.truncate(s.len() - 1);
}
s
}
impl Display for Num {
fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), std::fmt::Error> {
match self {
Num::Int(n) => write!(f, "{n}"),
Num::Float(n) => write!(f, "{}", format_float(*n)),
}
}
}
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