# simple_qp
[](https://github.com/Deepthought73/simple_qp/actions)
`simple_qp` allows formulating *Quadratic Programming (QP)* problems in a symbolic way.
Define your QP without unreadable matrix initializations.
## Available Solver Backends
At the moment, these are the available solver backends:
- `OSQP`
- `CLARABEL`
- `COIN CBC`: restricted to Linear Programming problems
## Example Code
```rust
use simple_qp::constraint;
use simple_qp::problem_variables::ProblemVariables;
use simple_qp::solver::osqp_solver::OSQPSolver;
use simple_qp::solver::Solver;
fn main() {
let mut problem = ProblemVariables::default();
let x = problem.add_variable(Some(85.), None);
let y = problem.add_variable(Some(4.0), None);
let objective = (x - 42).square() + (y - 73).square() + (x - y).square();
let constraints = vec![
constraint!(50 <= 1.5 * (x / 3 + 2 * y) <= 100),
constraint!(x - y == 75 + 2 * y),
];
let solver = OSQPSolver::default();
let res = solver
.solve(problem, objective, constraints)
.expect("Solver error");
let x_solution = res.value(x);
let y_solution = res.value(y);
println!("x = {}, y = {}", x_solution, y_solution);
}
```
## Acknowledgment
Thanks [FlorianNAdam](https://github.com/FlorianNAdam) for the `constraint!` macro.