mirror of
https://github.com/ivabus/matrix
synced 2024-12-04 14:05:07 +03:00
backuping
Signed-off-by: Ivan Bushchik <ivabus@ivabus.dev>
This commit is contained in:
parent
fca3033d74
commit
e759277c2d
6 changed files with 257 additions and 63 deletions
|
@ -1,4 +1,4 @@
|
|||
[workspace]
|
||||
members = ["matrix", "matrix_graphics"]
|
||||
members = ["matrix", "matrix_graphics", "lin_sys"]
|
||||
default-members = ["matrix_graphics"]
|
||||
resolver = "2"
|
||||
|
|
10
lin_sys/Cargo.toml
Normal file
10
lin_sys/Cargo.toml
Normal file
|
@ -0,0 +1,10 @@
|
|||
[package]
|
||||
name = "lin_sys"
|
||||
version = "0.1.0"
|
||||
edition = "2021"
|
||||
|
||||
# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
|
||||
|
||||
[dependencies]
|
||||
matrix = {version = "0.2.0", path = "../matrix"}
|
||||
smurf = "0.2.0"
|
6
lin_sys/src/main.rs
Normal file
6
lin_sys/src/main.rs
Normal file
|
@ -0,0 +1,6 @@
|
|||
use matrix;
|
||||
use smurf;
|
||||
|
||||
fn main() {
|
||||
println!("Inp")
|
||||
}
|
|
@ -1,6 +1,6 @@
|
|||
[package]
|
||||
name = "matrix"
|
||||
version = "0.1.2"
|
||||
version = "0.2.0"
|
||||
edition = "2021"
|
||||
license = "MIT"
|
||||
|
||||
|
|
|
@ -1,13 +1,110 @@
|
|||
use std::ops::{Add, AddAssign, Mul};
|
||||
#![recursion_limit = "32768"]
|
||||
|
||||
use rand::{thread_rng, Rng};
|
||||
use std::cmp::Ord;
|
||||
use std::ops::{Add, AddAssign, Mul, Neg};
|
||||
|
||||
pub(crate) type Matrix<T> = Vec<Vec<T>>;
|
||||
#[derive(Debug)]
|
||||
pub struct Matrix<
|
||||
T: Mul<Output = T>
|
||||
+ Copy
|
||||
+ AddAssign
|
||||
+ From<u8>
|
||||
+ PartialEq
|
||||
+ Add
|
||||
+ PartialOrd
|
||||
+ Ord
|
||||
+ Copy
|
||||
+ Neg<Output = T>,
|
||||
>(Vec<Vec<T>>);
|
||||
|
||||
fn check_valid<T>(a: &Matrix<T>) -> bool {
|
||||
let len = a[0].len();
|
||||
impl<
|
||||
T: Mul<Output = T>
|
||||
+ Copy
|
||||
+ AddAssign
|
||||
+ From<u8>
|
||||
+ PartialEq
|
||||
+ Add
|
||||
+ PartialOrd
|
||||
+ Ord
|
||||
+ Copy
|
||||
+ Neg<Output = T>,
|
||||
> Matrix<T>
|
||||
{
|
||||
fn len(&self) -> usize {
|
||||
self.0.len()
|
||||
}
|
||||
|
||||
for i in a {
|
||||
fn push(&mut self, element: Vec<T>) {
|
||||
self.0.push(element)
|
||||
}
|
||||
|
||||
fn new() -> Matrix<T> {
|
||||
Matrix(Vec::new())
|
||||
}
|
||||
|
||||
pub fn dot(&self, other: &Matrix<T>) -> Option<Matrix<T>> {
|
||||
if !(check_valid(self) && check_valid(other)) {
|
||||
return None;
|
||||
}
|
||||
|
||||
if self.0[0].len() != other.0.len() {
|
||||
return None;
|
||||
}
|
||||
|
||||
let m = self.0[0].len();
|
||||
let mut c: Matrix<T> = Matrix::new();
|
||||
|
||||
for i in 0..self.len() {
|
||||
c.push(vec![]);
|
||||
for j in 0..other.0[0].len() {
|
||||
let mut s: T = 0_u8.into();
|
||||
for r in 0..m {
|
||||
s += self.0[i][r] * other.0[r][j];
|
||||
}
|
||||
c.0[i].push(s as T);
|
||||
}
|
||||
}
|
||||
|
||||
Some(c)
|
||||
}
|
||||
}
|
||||
|
||||
impl<
|
||||
T: Mul<Output = T>
|
||||
+ Copy
|
||||
+ AddAssign
|
||||
+ From<u8>
|
||||
+ PartialEq
|
||||
+ Add
|
||||
+ PartialOrd
|
||||
+ Ord
|
||||
+ Copy
|
||||
+ Neg<Output = T>,
|
||||
> PartialEq for Matrix<T>
|
||||
{
|
||||
fn eq(&self, other: &Self) -> bool {
|
||||
self.0 == other.0
|
||||
}
|
||||
}
|
||||
|
||||
fn check_valid<
|
||||
T: Mul<Output = T>
|
||||
+ Copy
|
||||
+ AddAssign
|
||||
+ From<u8>
|
||||
+ PartialEq
|
||||
+ Add
|
||||
+ PartialOrd
|
||||
+ Ord
|
||||
+ Copy
|
||||
+ Neg<Output = T>,
|
||||
>(
|
||||
a: &Matrix<T>,
|
||||
) -> bool {
|
||||
let len = a.0[0].len();
|
||||
|
||||
for i in &a.0 {
|
||||
if i.len() != len {
|
||||
return false;
|
||||
}
|
||||
|
@ -16,7 +113,21 @@ fn check_valid<T>(a: &Matrix<T>) -> bool {
|
|||
true
|
||||
}
|
||||
|
||||
pub fn sum<T: Add<Output = T> + Copy>(a: &Matrix<T>, b: &Matrix<T>) -> Option<Matrix<T>> {
|
||||
pub fn sum<
|
||||
T: Mul<Output = T>
|
||||
+ Copy
|
||||
+ AddAssign
|
||||
+ From<u8>
|
||||
+ PartialEq
|
||||
+ Add
|
||||
+ PartialOrd
|
||||
+ Ord
|
||||
+ Copy
|
||||
+ Neg<Output = T>,
|
||||
>(
|
||||
a: &Matrix<T>,
|
||||
b: &Matrix<T>,
|
||||
) -> Option<Matrix<T>> {
|
||||
if !(check_valid(a) && check_valid(b)) {
|
||||
return None;
|
||||
}
|
||||
|
@ -25,80 +136,114 @@ pub fn sum<T: Add<Output = T> + Copy>(a: &Matrix<T>, b: &Matrix<T>) -> Option<Ma
|
|||
return None;
|
||||
}
|
||||
|
||||
let mut c: Matrix<T> = Vec::new();
|
||||
let mut c: Matrix<T> = Matrix::new();
|
||||
for i in 0..a.len() {
|
||||
c.push(vec![]);
|
||||
for j in 0..a[0].len() {
|
||||
c[i].push(a[i][j] + b[i][j]);
|
||||
for j in 0..a.0[0].len() {
|
||||
c.0[i].push(a.0[i][j] + b.0[i][j]);
|
||||
}
|
||||
}
|
||||
|
||||
Some(c)
|
||||
}
|
||||
|
||||
pub fn mul<T: Mul<Output = T> + Copy + AddAssign + From<u8>>(
|
||||
a: &Matrix<T>,
|
||||
b: &Matrix<T>,
|
||||
) -> Option<Matrix<T>> {
|
||||
if !(check_valid(a) && check_valid(b)) {
|
||||
return None;
|
||||
}
|
||||
|
||||
if a[0].len() != b.len() {
|
||||
return None;
|
||||
}
|
||||
|
||||
let m = a[0].len();
|
||||
let mut c: Matrix<T> = Vec::new();
|
||||
|
||||
for i in 0..a.len() {
|
||||
c.push(vec![]);
|
||||
for j in 0..b[0].len() {
|
||||
let mut s: T = 0_u8.into();
|
||||
for r in 0..m {
|
||||
s += a[i][r] * b[r][j];
|
||||
}
|
||||
c[i].push(s as T);
|
||||
fn get_minor<
|
||||
T: Mul<Output = T>
|
||||
+ Copy
|
||||
+ AddAssign
|
||||
+ From<u8>
|
||||
+ PartialEq
|
||||
+ Add
|
||||
+ PartialOrd
|
||||
+ Ord
|
||||
+ Copy
|
||||
+ Neg<Output = T>,
|
||||
>(
|
||||
base: &&Matrix<T>,
|
||||
mi: &usize,
|
||||
mj: &usize,
|
||||
) -> Matrix<T> {
|
||||
let mut minor: Matrix<T> = Matrix::new();
|
||||
let mut offset: usize = 0;
|
||||
for i in 0..base.len() {
|
||||
if i == *mi {
|
||||
offset += 1;
|
||||
continue;
|
||||
}
|
||||
}
|
||||
|
||||
Some(c)
|
||||
}
|
||||
|
||||
pub fn det<T: Mul<Output = T> + Copy + Add>(a: &Matrix<T>) -> Option<Matrix<T>> {
|
||||
if ! check_valid(a) {
|
||||
return None;
|
||||
}
|
||||
if a[0].len() != a.len() {
|
||||
return None;
|
||||
}
|
||||
let j = 0;
|
||||
for i in 1..n {
|
||||
let _pre_minor: Matrix<T> = vec![&a[0..i], &a[i+1..]];
|
||||
let mut pre_minor: Metrix<T> = vec![vec![]];
|
||||
for m in _pre_minor {
|
||||
if m == j {
|
||||
minor.push(vec![]);
|
||||
for j in 0..base.0[0].len() {
|
||||
if j == *mj {
|
||||
continue;
|
||||
}
|
||||
pre_minor[m].push
|
||||
minor.0[i - offset].push(base.0[i][j])
|
||||
}
|
||||
let minor = det(&pre_minor);
|
||||
|
||||
}
|
||||
minor
|
||||
}
|
||||
|
||||
pub fn det<
|
||||
T: Mul<Output = T>
|
||||
+ Copy
|
||||
+ AddAssign
|
||||
+ From<u8>
|
||||
+ PartialEq
|
||||
+ Add
|
||||
+ PartialOrd
|
||||
+ Ord
|
||||
+ Copy
|
||||
+ Neg<Output = T>,
|
||||
>(
|
||||
a: &Matrix<T>,
|
||||
) -> Option<T> {
|
||||
if !check_valid(a) {
|
||||
return None;
|
||||
}
|
||||
if a.0[0].len() != a.0.len() {
|
||||
return None;
|
||||
}
|
||||
if a.0[0].len() == 1 {
|
||||
return Some(a.0[0][0]);
|
||||
}
|
||||
let j = 1;
|
||||
let mut determinant: T = 0.into();
|
||||
for i in 0..a.len() {
|
||||
let minor: T = det(&get_minor(&a, &i, &j)).unwrap();
|
||||
determinant += if (i + 1) % 2 == 1 {
|
||||
-Into::<T>::into(1i8)
|
||||
} else {
|
||||
Into::<T>::into(1i8)
|
||||
} * a.0[i][1]
|
||||
* minor;
|
||||
}
|
||||
Some(determinant)
|
||||
}
|
||||
#[allow(dead_code)]
|
||||
fn gen_matrix<T: From<i32>>(i: usize, j: usize) -> Option<Matrix<T>> {
|
||||
fn gen_matrix<
|
||||
T: Mul<Output = T>
|
||||
+ Copy
|
||||
+ AddAssign
|
||||
+ From<u8>
|
||||
+ PartialEq
|
||||
+ Add
|
||||
+ PartialOrd
|
||||
+ Ord
|
||||
+ Copy
|
||||
+ Neg<Output = T>,
|
||||
>(
|
||||
i: usize,
|
||||
j: usize,
|
||||
) -> Option<Matrix<T>> {
|
||||
if !(i > 0 && j > 0) {
|
||||
return None;
|
||||
}
|
||||
|
||||
let mut rng = thread_rng();
|
||||
let mut m: Matrix<T> = Vec::new();
|
||||
let mut m: Matrix<T> = Matrix::new();
|
||||
|
||||
for a in 0..i {
|
||||
m.push(vec![]);
|
||||
for _ in 0..j {
|
||||
m[a].push(T::from(rng.gen_range(0..100)));
|
||||
m.0[a].push(T::from(rng.gen_range(0..100)));
|
||||
}
|
||||
}
|
||||
Some(m)
|
||||
|
@ -114,14 +259,17 @@ mod test {
|
|||
fn basic_sum() {
|
||||
let a = vec![vec![1., 2.], vec![3., 4.]];
|
||||
let b = vec![vec![5., 6.], vec![7., 8.]];
|
||||
assert_eq!(sum(&a, &b).unwrap(), vec![vec![6., 8.], vec![10., 12.]])
|
||||
assert_eq!(sum(&Matrix(a), &Matrix(b)).unwrap(), Matrix(vec![vec![6., 8.], vec![10., 12.]]))
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn basic_mul() {
|
||||
let a = vec![vec![3., -1., 2.], vec![4., 2., 0.], vec![-5., 6., 1.]];
|
||||
let b = vec![vec![8., 1.], vec![7., 2.], vec![2., -3.]];
|
||||
assert_eq!(mul(&a, &b).unwrap(), vec![vec![21., -5.], vec![46., 8.], vec![4., 4.]])
|
||||
assert_eq!(
|
||||
mul(&Matrix(a), &Matrix(b)).unwrap(),
|
||||
Matrix(vec![vec![21., -5.], vec![46., 8.], vec![4., 4.]])
|
||||
)
|
||||
}
|
||||
|
||||
#[test]
|
||||
|
@ -134,13 +282,13 @@ mod test {
|
|||
}
|
||||
|
||||
#[test]
|
||||
#[ignore]
|
||||
#[should_panic]
|
||||
fn mv_mul() {
|
||||
let a: Matrix<f64> = gen_matrix(10, 1).unwrap();
|
||||
let b: Matrix<f64> = gen_matrix(1, 10).unwrap();
|
||||
let ab = mul(&a, &b);
|
||||
let ba = mul(&b, &a);
|
||||
if ab != None && ba != None {
|
||||
if ab.is_some() && ba.is_some() {
|
||||
assert_eq!(ab.unwrap(), ba.unwrap())
|
||||
} else {
|
||||
assert!(false)
|
||||
|
@ -171,4 +319,34 @@ mod test {
|
|||
let c: Matrix<f64> = gen_matrix(s3, s4).unwrap();
|
||||
assert_eq!(mul(&mul(&a, &b).unwrap(), &c).unwrap(), mul(&a, &mul(&b, &c).unwrap()).unwrap())
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn basic_det_1() {
|
||||
let matrix: Matrix<i32> = Matrix(vec![vec![1, -2, -2], vec![5, 1, 3], vec![8, 0, 4]]);
|
||||
assert_eq!(det(&matrix).unwrap(), 12i32)
|
||||
}
|
||||
#[test]
|
||||
fn basic_det_2() {
|
||||
let matrix: Matrix<i32> =
|
||||
Matrix(vec![vec![1, 0, 0, 0], vec![0, 3, 0, 0], vec![0, 0, 1, 0], vec![0, 0, 0, 1]]);
|
||||
assert_eq!(det(&matrix).unwrap(), 3i32)
|
||||
}
|
||||
#[test]
|
||||
fn basic_det_3() {
|
||||
let matrix: Matrix<i32> =
|
||||
Matrix(vec![vec![0, 0, 0, 1], vec![0, 1, 0, 0], vec![0, 0, 1, 0], vec![1, 0, 0, 0]]);
|
||||
assert_eq!(det(&matrix).unwrap(), -1i32)
|
||||
}
|
||||
#[test]
|
||||
fn basic_det_4() {
|
||||
let matrix: Matrix<i32> =
|
||||
Matrix(vec![vec![1, 0, 0, 7], vec![0, 1, 0, 0], vec![0, 0, 1, 0], vec![0, 0, 0, 1]]);
|
||||
assert_eq!(det(&matrix).unwrap(), 1i32)
|
||||
}
|
||||
#[test]
|
||||
fn basic_det_5() {
|
||||
let matrix: Matrix<i32> =
|
||||
Matrix(vec![vec![3, 0, 2, -1], vec![1, 2, 0, -2], vec![4, 0, 6, -3], vec![5, 0, 2, 0]]);
|
||||
assert_eq!(det(&matrix).unwrap(), 20i32)
|
||||
}
|
||||
}
|
||||
|
|
|
@ -11,7 +11,7 @@ default = ["optimize"]
|
|||
[dependencies]
|
||||
env_logger = "0.10.0"
|
||||
log = "0.4.17"
|
||||
matrix = { version = "0.1.2", path = "../matrix" }
|
||||
matrix = { version = "0.2.0", path = "../matrix" }
|
||||
pixels = "0.11.0"
|
||||
winit = "0.28.2"
|
||||
winit_input_helper = "0.14.0"
|
||||
|
|
Loading…
Reference in a new issue