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Determinant and permanent: Difference between revisions
added program for rust
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permanent: 6778800
</pre>
=={{header|Rust}==
{{trans|Java}}
<lang rust>
fn main() {
let mut m1: Vec<Vec<f64>> = vec![vec![1.0,2.0],vec![3.0,4.0]];
let mut r_m1 = &mut m1;
let rr_m1 = &mut r_m1;
let mut m2: Vec<Vec<f64>> = vec![vec![1.0, 2.0, 3.0, 4.0], vec![4.0, 5.0, 6.0, 7.0], vec![7.0, 8.0, 9.0, 10.0], vec![10.0, 11.0, 12.0, 13.0]];
let mut r_m2 = &mut m2;
let rr_m2 = &mut r_m2;
let mut m3: Vec<Vec<f64>> = vec![vec![0.0, 1.0, 2.0, 3.0, 4.0],
vec![5.0, 6.0, 7.0, 8.0, 9.0],
vec![10.0, 11.0, 12.0, 13.0, 14.0],
vec![15.0, 16.0, 17.0, 18.0, 19.0],
vec![20.0, 21.0, 22.0, 23.0, 24.0]];
let mut r_m3 = &mut m3;
let rr_m3 = &mut r_m3;
println!("Determinant of m1: {}", determinant(rr_m1));
println!("Permanant of m1: {}", permanent(rr_m1));
println!("Determinant of m2: {}", determinant(rr_m2));
println!("Permanant of m2: {}", permanent(rr_m2));
println!("Determinant of m3: {}", determinant(rr_m3));
println!("Permanant of m3: {}", permanent(rr_m3));
}
fn minor( a: &mut Vec<Vec<f64>>, x: usize, y: usize) -> Vec<Vec<f64>> {
let mut out_vec: Vec<Vec<f64>> = vec![vec![0.0; a.len() - 1]; a.len() -1];
for i in 0..a.len()-1 {
for j in 0..a.len()-1 {
match () {
_ if (i < x && j < y) => {
out_vec[i][j] = a[i][j];
},
_ if (i >= x && j < y) => {
out_vec[i][j] = a[i + 1][j];
},
_ if (i < x && j >= y) => {
out_vec[i][j] = a[i][j + 1];
},
_ => { //i > x && j > y
out_vec[i][j] = a[i + 1][j + 1];
},
}
}
}
out_vec
}
fn determinant (matrix: &mut Vec<Vec<f64>>) -> f64 {
match () {
_ if (matrix.len() == 1) => {
matrix[0][0]
},
_ => {
let mut sign = 1.0;
let mut sum = 0.0;
for i in 0..matrix.len() {
sum = sum + sign * matrix[0][i] * determinant(&mut minor(matrix, 0, i));
sign = sign * -1.0;
}
sum
}
}
}
fn permanent (matrix: &mut Vec<Vec<f64>>) -> f64 {
match () {
_ if (matrix.len() == 1) => {
matrix[0][0]
},
_ => {
let mut sum = 0.0;
for i in 0..matrix.len() {
sum = sum + matrix[0][i] * permanent(&mut minor(matrix, 0, i));
}
sum
}
}
}
</lang>
{{Output}}
<pre>
Determinant of m1: -2
Permanant of m1: 10
Determinant of m2: 0
Permanant of m2: 29556
Determinant of m3: 0
Permanant of m3: 6778800
</pre>
=={{header|Scala}}==
<lang scala>
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