diff --git a/src/lib.rs b/src/lib.rs index 0077855..41172ac 100644 --- a/src/lib.rs +++ b/src/lib.rs @@ -183,6 +183,25 @@ pub mod data; use data::{Nmrc, Sprs, Symb}; +#[derive(Copy, Clone, Debug)] +pub enum Error { + /// Cholesky factorization failed (not positive definite) + NotPositiveDefinite, + /// LU factorization failed (no pivot found) + NoPivot, +} + +impl std::fmt::Display for Error { + fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result { + match self { + Self::NoPivot => write!(f, "Could not find a pivot"), + Self::NotPositiveDefinite => write!(f, "Could not complete Cholesky factorization. Please provide a positive definite matrix"), + } + } +} + +impl std::error::Error for Error {} + // --- Public functions -------------------------------------------------------- /// C = alpha * A + beta * B @@ -253,7 +272,7 @@ pub fn add(a: &Sprs, b: &Sprs, alpha: f64, beta: f64) -> Sprs { /// /// See: `schol(...)` /// -pub fn chol(a: &Sprs, s: &mut Symb) -> Nmrc { +pub fn chol(a: &Sprs, s: &mut Symb) -> Result { let mut top; let mut d; let mut lki; @@ -302,7 +321,7 @@ pub fn chol(a: &Sprs, s: &mut Symb) -> Nmrc { // --- Compute L(k,k) ----------------------------------------------- if d <= 0. { // not pos def - panic!("Could not complete Cholesky factorization. Please provide a positive definite matrix"); + return Err(Error::NotPositiveDefinite); } let p = w[wc + k]; w[wc + k] += 1; @@ -311,7 +330,7 @@ pub fn chol(a: &Sprs, s: &mut Symb) -> Nmrc { } n_mat.l.p[n] = s.cp[n]; // finalize L - n_mat + Ok(n_mat) } /// A\b solver using Cholesky factorization. @@ -351,16 +370,18 @@ pub fn chol(a: &Sprs, s: &mut Symb) -> Nmrc { /// println!("{:?}", &b); /// ``` /// -pub fn cholsol(a: &Sprs, b: &mut [f64], order: i8) { +pub fn cholsol(a: &Sprs, b: &mut [f64], order: i8) -> Result<(), Error> { let n = a.n; let mut s = schol(a, order); // ordering and symbolic analysis - let n_mat = chol(a, &mut s); // numeric Cholesky factorization + let n_mat = chol(a, &mut s)?; // numeric Cholesky factorization let mut x = vec![0.; n]; ipvec(n, &s.pinv, b, &mut x[..]); // x = P*b lsolve(&n_mat.l, &mut x); // x = L\x ltsolve(&n_mat.l, &mut x); // x = L'\x pvec(n, &s.pinv, &x[..], &mut b[..]); // b = P'*x + + Ok(()) } /// Generalized A times X Plus Y @@ -490,7 +511,7 @@ pub fn ltsolve(l: &Sprs, x: &mut [f64]) { /// /// See: `sqr(...)` /// -pub fn lu(a: &Sprs, s: &mut Symb, tol: f64) -> Nmrc { +pub fn lu(a: &Sprs, s: &mut Symb, tol: f64) -> Result { let n = a.n; let mut col; let mut top; @@ -556,7 +577,7 @@ pub fn lu(a: &Sprs, s: &mut Symb, tol: f64) -> Nmrc { } } if ipiv == -1 || a_f <= 0. { - panic!("Could not find a pivot"); + return Err(Error::NoPivot); } if n_mat.pinv.as_ref().unwrap()[col] < 0 && f64::abs(x[col]) >= a_f * tol { ipiv = col as isize; @@ -592,7 +613,7 @@ pub fn lu(a: &Sprs, s: &mut Symb, tol: f64) -> Nmrc { n_mat.l.quick_trim(); n_mat.u.quick_trim(); - n_mat + Ok(n_mat) } /// A\b solver using LU factorization. @@ -642,16 +663,17 @@ pub fn lu(a: &Sprs, s: &mut Symb, tol: f64) -> Nmrc { /// ``` /// -pub fn lusol(a: &Sprs, b: &mut [f64], order: i8, tol: f64) { +pub fn lusol(a: &Sprs, b: &mut [f64], order: i8, tol: f64) -> Result<(), Error> { let mut x = vec![0.; a.n]; let mut s; s = sqr(a, order, false); // ordering and symbolic analysis - let n = lu(a, &mut s, tol); // numeric LU factorization + let n = lu(a, &mut s, tol)?; // numeric LU factorization ipvec(a.n, &n.pinv, b, &mut x[..]); // x = P*b lsolve(&n.l, &mut x); // x = L\x usolve(&n.u, &mut x[..]); // x = U\x ipvec(a.n, &s.q, &x[..], &mut b[..]); // b = Q*x + Ok(()) } /// C = A * B diff --git a/tests/solver_tests.rs b/tests/solver_tests.rs index de5a6ef..98f555c 100644 --- a/tests/solver_tests.rs +++ b/tests/solver_tests.rs @@ -208,7 +208,7 @@ fn lusol_1(){ 0.430638 ]; - rsparse::lusol(&l_sparse, &mut b, 1, 1e-12); + rsparse::lusol(&l_sparse, &mut b, 1, 1e-12).unwrap(); utils::assert_eq_f_vec(&b, &x, 1e-3); } @@ -250,7 +250,7 @@ fn lusol_2(){ -0.282992 ]; - rsparse::lusol(&l_sparse, &mut b, 1, 1e-12); + rsparse::lusol(&l_sparse, &mut b, 1, 1e-12).unwrap(); utils::assert_eq_f_vec(&b, &x, 1e-3); } @@ -346,7 +346,7 @@ fn lusol_3(){ -4.36 ]; - rsparse::lusol(&l_sparse, &mut b, 1, 1e-12); + rsparse::lusol(&l_sparse, &mut b, 1, 1e-12).unwrap(); utils::assert_eq_f_vec(&b, &x, 0.5); } @@ -442,7 +442,7 @@ fn lusol_4(){ -3.18911724815574e-02 ]; - rsparse::lusol(&l_sparse, &mut b, 1, 1e-12); + rsparse::lusol(&l_sparse, &mut b, 1, 1e-12).unwrap(); utils::assert_eq_f_vec(&b, &x, 1e-5); } @@ -481,7 +481,7 @@ fn lusol_5(){ -0.170555 ]; - rsparse::lusol(&u_sparse, &mut b, 1, 1e-12); + rsparse::lusol(&u_sparse, &mut b, 1, 1e-12).unwrap(); utils::assert_eq_f_vec(&b, &x, 1e-3); } @@ -499,7 +499,7 @@ fn lusol_6(){ 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]; - rsparse::lusol(&u_sparse, &mut b, 1, 1e-12); + rsparse::lusol(&u_sparse, &mut b, 1, 1e-12).unwrap(); utils::assert_eq_f_vec(&b, &x, 1e-5); } @@ -537,7 +537,7 @@ fn cholsol_1(){ assert_ne!(&b, &x); - rsparse::cholsol(&c_sparse, &mut b, 0); + rsparse::cholsol(&c_sparse, &mut b, 0).unwrap(); utils::assert_eq_f_vec(&b, &x, 1e-3); } @@ -557,7 +557,7 @@ fn cholsol_2(){ assert_ne!(&b, &x); - rsparse::cholsol(&c_sparse, &mut b, 0); + rsparse::cholsol(&c_sparse, &mut b, 0).unwrap(); utils::assert_eq_f_vec(&b, &x, 1e-6); } @@ -586,7 +586,7 @@ fn cholsol_3(){ assert_ne!(&b, &x); - rsparse::cholsol(&c_sparse, &mut b, 0); + rsparse::cholsol(&c_sparse, &mut b, 0).unwrap(); utils::assert_eq_f_vec(&b, &x, 1e-3); } @@ -615,7 +615,7 @@ fn cholsol_4(){ assert_ne!(&b, &x); - rsparse::cholsol(&c_sparse, &mut b, 0); + rsparse::cholsol(&c_sparse, &mut b, 0).unwrap(); utils::assert_eq_f_vec(&b, &x, 1e-3); } @@ -634,7 +634,7 @@ fn cholsol_5(){ assert_ne!(&b, &x); - rsparse::cholsol(&c_sparse, &mut b, 0); + rsparse::cholsol(&c_sparse, &mut b, 0).unwrap(); utils::assert_eq_f_vec(&b, &x, 1e-6); } @@ -665,7 +665,7 @@ fn cholsol_6(){ ]; // Should panic now - rsparse::cholsol(&c_sparse, &mut b, 0); + rsparse::cholsol(&c_sparse, &mut b, 0).unwrap(); } #[test] @@ -678,7 +678,7 @@ fn cholsol_7(){ ]; let b_static = b.clone(); - rsparse::cholsol(&c_sparse, &mut b, 0); + rsparse::cholsol(&c_sparse, &mut b, 0).unwrap(); utils::assert_eq_f_vec(&rsparse::gaxpy(&c_sparse, &b, &vec![0.; b.len()]), &b_static, 1e-1); // Close but not right (c_sparse is not symmetric) } @@ -937,9 +937,9 @@ fn allsol_1(){ let mut b_lu = b_chol.clone(); - rsparse::cholsol(&c_sparse, &mut b_chol, 0); + rsparse::cholsol(&c_sparse, &mut b_chol, 0).unwrap(); rsparse::qrsol(&c_sparse, &mut b_qr, 2); - rsparse::lusol(&c_sparse, &mut b_lu, 1, 1e-12); + rsparse::lusol(&c_sparse, &mut b_lu, 1, 1e-12).unwrap(); utils::assert_eq_f_vec(&b_chol, &b_qr, 1e-12); utils::assert_eq_f_vec(&b_chol, &b_lu, 1e-12); @@ -960,7 +960,7 @@ fn allsol_2(){ rsparse::qrsol(&c_sparse, &mut b_qr, 2); - rsparse::lusol(&c_sparse, &mut b_lu, 1, 1e-12); + rsparse::lusol(&c_sparse, &mut b_lu, 1, 1e-12).unwrap(); utils::assert_eq_f_vec(&b_lu, &b_qr, 1e-1); utils::assert_eq_f_vec(&rsparse::gaxpy(&c_sparse, &b_qr, &vec![0.; b_qr.len()]), &b_static, 1e-12);