Created
April 27, 2018 05:38
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use std::int::pow; | |
use std::rand; | |
use std::rand::Rng; | |
use std::io::prelude::*; | |
use std::fs::{File, OpenOptions}; | |
use std::io::{Read}; | |
use std::time::{Instant, Duration, SystemTime}; | |
use std::thread; | |
struct Matrix { | |
p: ~[int], | |
height: uint, | |
width: uint | |
} | |
// 2D matrix with int elements | |
impl Matrix { | |
fn at(&self, row: uint, col: uint) -> int { | |
self.p[self.width * row + col] | |
} | |
fn dim(&self) -> (uint,uint) { | |
(self.width,self.height) | |
} | |
fn is_square(&self) -> bool { | |
self.width == self.height | |
} | |
fn det(&self) -> Option<int> { | |
if self.is_square() { | |
let (w,_) = self.dim(); | |
match w { | |
2 => | |
match self.p { | |
[a,b,c,d] => Some(a * d - b * c), | |
_ => None | |
}, | |
_ => Some({ | |
let mut s = 0i; | |
for j in range(0,w) { | |
match self.cofactor(0,j) { | |
Some(cf) => s += self.at(0,j) * cf, | |
_ => () | |
} | |
} | |
s | |
}) | |
} | |
} else { | |
None | |
} | |
} | |
fn cofactor(&self, i: uint, j: uint) -> Option<int> { | |
let vs: ~[int] = self.p.iter().enumerate().filter(|&(k,_)| k / self.width != i && k % self.width != j) | |
.map(|(_,&v)| v).collect(); | |
let rest = Matrix{p: vs,height: self.height-1, width: self.width-1}; | |
match rest.det() { | |
Some(d) => { | |
Some(pow(-1,i+j) * d) | |
}, | |
_ => { | |
None | |
} | |
} | |
} | |
} | |
fn mkRnd(dim: uint) -> Matrix { | |
let len = dim * dim; | |
let mut rng = rand::task_rng(); | |
let vs = range(0, len).map(|_| rng.gen_range::<int>(-5,5)).collect(); | |
Matrix{p: vs, width: dim, height: dim} | |
} | |
fn main(){ | |
let m = Matrix{p: ~[1,2,3], width: 1, height: 3}; | |
let ms: ~[Matrix] = range(3,10).map(|n| mkRnd(n as uint)).collect(); | |
for m in ms.iter() { | |
println!("{:?}",m.det()); | |
} | |
println!("{:?}",m.dim()); | |
} |
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