use ripopt::{NlpProblem, SolverOptions};
struct HS071;
impl NlpProblem for HS071 {
fn num_variables(&self) -> usize { 4 }
fn num_constraints(&self) -> usize { 2 }
fn bounds(&self, x_l: &mut [f64], x_u: &mut [f64]) {
for i in 0..4 { x_l[i] = 1.0; x_u[i] = 5.0; }
}
fn constraint_bounds(&self, g_l: &mut [f64], g_u: &mut [f64]) {
g_l[0] = 25.0; g_u[0] = f64::INFINITY;
g_l[1] = 40.0; g_u[1] = 40.0;
}
fn initial_point(&self, x0: &mut [f64]) {
x0[0] = 1.0; x0[1] = 5.0; x0[2] = 5.0; x0[3] = 1.0;
}
fn objective(&self, x: &[f64]) -> f64 {
x[0] * x[3] * (x[0] + x[1] + x[2]) + x[2]
}
fn gradient(&self, x: &[f64], grad: &mut [f64]) {
grad[0] = x[3] * (2.0 * x[0] + x[1] + x[2]);
grad[1] = x[0] * x[3];
grad[2] = x[0] * x[3] + 1.0;
grad[3] = x[0] * (x[0] + x[1] + x[2]);
}
fn constraints(&self, x: &[f64], g: &mut [f64]) {
g[0] = x[0] * x[1] * x[2] * x[3];
g[1] = x[0]*x[0] + x[1]*x[1] + x[2]*x[2] + x[3]*x[3];
}
fn jacobian_structure(&self) -> (Vec<usize>, Vec<usize>) {
(vec![0,0,0,0,1,1,1,1], vec![0,1,2,3,0,1,2,3])
}
fn jacobian_values(&self, x: &[f64], vals: &mut [f64]) {
vals[0] = x[1]*x[2]*x[3]; vals[1] = x[0]*x[2]*x[3];
vals[2] = x[0]*x[1]*x[3]; vals[3] = x[0]*x[1]*x[2];
vals[4] = 2.0*x[0]; vals[5] = 2.0*x[1];
vals[6] = 2.0*x[2]; vals[7] = 2.0*x[3];
}
fn hessian_structure(&self) -> (Vec<usize>, Vec<usize>) {
(vec![0,1,1,2,2,2,3,3,3,3], vec![0,0,1,0,1,2,0,1,2,3])
}
fn hessian_values(&self, x: &[f64], obj_factor: f64, lambda: &[f64], vals: &mut [f64]) {
vals[0] = obj_factor * 2.0 * x[3];
vals[1] = obj_factor * x[3];
vals[2] = 0.0;
vals[3] = obj_factor * x[3];
vals[4] = 0.0;
vals[5] = 0.0;
vals[6] = obj_factor * (2.0*x[0] + x[1] + x[2]);
vals[7] = obj_factor * x[0];
vals[8] = obj_factor * x[0];
vals[9] = 0.0;
vals[1] += lambda[0] * x[2]*x[3];
vals[3] += lambda[0] * x[1]*x[3];
vals[4] += lambda[0] * x[0]*x[3];
vals[6] += lambda[0] * x[1]*x[2];
vals[7] += lambda[0] * x[0]*x[2];
vals[8] += lambda[0] * x[0]*x[1];
vals[0] += lambda[1] * 2.0;
vals[2] += lambda[1] * 2.0;
vals[5] += lambda[1] * 2.0;
vals[9] += lambda[1] * 2.0;
}
}
fn main() {
env_logger::init();
let problem = HS071;
let mut options = SolverOptions::default();
options.print_level = 5;
options.max_iter = 30;
let result = ripopt::solve(&problem, &options);
println!("\nStatus: {:?}", result.status);
println!("Objective: {:.6}", result.objective);
println!("x: {:?}", result.x);
println!("Iterations: {}", result.iterations);
}