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use operation::number::{Number, NumberVector};
use structure::dual::*;
use structure::matrix::*;
use util::non_macro::{cat, zeros};
use Real;
#[allow(non_snake_case)]
pub fn jacobian<F>(g: F, x: &Vec<f64>) -> Matrix
where
F: Fn(Vec<Number>) -> Vec<Number>,
{
let f = |x: &Vec<Dual>| g(NumberVector::from_dual_vec(x.clone())).to_dual_vec();
jacobian_real(Box::new(f), x)
}
#[allow(non_snake_case)]
pub fn jacobian_real<F, T>(f: Box<F>, x: &Vec<T>) -> Matrix
where
T: Real,
F: Fn(&Vec<Dual>) -> Vec<Dual>,
{
let l = x.len();
let mut x_dual: Vec<Dual> = x
.clone()
.into_iter()
.map(|t| dual(t.to_f64(), 0f64))
.collect();
let l2 = f(&x_dual).len();
let mut J = zeros(l2, l);
for i in 0..l {
x_dual[i].set_slope(1f64);
let slopes = f(&x_dual).slopes();
J.subs_col(i, &slopes);
x_dual[i].set_slope(0f64);
}
J
}
pub fn tdma(a_input: Vec<f64>, b_input: Vec<f64>, c_input: Vec<f64>, y_input: Vec<f64>) -> Matrix {
let n = b_input.len();
assert_eq!(a_input.len(), n - 1);
assert_eq!(c_input.len(), n - 1);
assert_eq!(y_input.len(), n);
let a = cat(0f64, a_input.clone());
let mut b = b_input.clone();
let c = {
let mut c_temp = c_input.clone();
c_temp.push(0f64);
c_temp.clone()
};
let mut y = y_input.clone();
let mut w = vec![0f64; n];
for i in 1..n {
w[i] = a[i] / b[i - 1];
b[i] = b[i] - w[i] * c[i - 1];
y[i] = y[i] - w[i] * y[i - 1];
}
let mut x = vec![0f64; n];
x[n - 1] = y[n - 1] / b[n - 1];
for i in (0..n - 1).rev() {
x[i] = (y[i] - c[i] * x[i + 1]) / b[i];
}
x.to_matrix()
}