107 lines
4.1 KiB
Rust
107 lines
4.1 KiB
Rust
#![cfg_attr(rustfmt, rustfmt_skip)]
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use na::{CsMatrix, CsVector, Matrix5, Vector5};
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#[test]
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fn cs_lower_triangular_solve() {
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let a = Matrix5::new(
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4.0, 1.0, 4.0, 0.0, 9.0,
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5.0, 6.0, 0.0, 8.0, 10.0,
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9.0, 10.0, 11.0, 12.0, 0.0,
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0.0, -8.0, 3.0, 5.0, 9.0,
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0.0, 0.0, 1.0, 0.0, -10.0
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);
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let b = Vector5::new(1.0, 2.0, 3.0, 4.0, 5.0);
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let cs_a: CsMatrix<_, _, _> = a.into();
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assert_eq!(cs_a.solve_lower_triangular(&b), a.solve_lower_triangular(&b));
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}
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#[test]
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fn cs_tr_lower_triangular_solve() {
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let a = Matrix5::new(
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4.0, 1.0, 4.0, 0.0, 9.0,
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5.0, 6.0, 0.0, 8.0, 10.0,
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9.0, 10.0, 11.0, 12.0, 0.0,
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0.0, -8.0, 3.0, 5.0, 9.0,
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0.0, 0.0, 1.0, 0.0, -10.0
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);
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let b = Vector5::new(1.0, 2.0, 3.0, 4.0, 5.0);
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let cs_a: CsMatrix<_, _, _> = a.into();
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assert!(cs_a.tr_solve_lower_triangular(&b).is_some());
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assert_eq!(cs_a.tr_solve_lower_triangular(&b), a.tr_solve_lower_triangular(&b));
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// Singular case.
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let a = Matrix5::new(
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4.0, 1.0, 4.0, 0.0, 9.0,
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5.0, 6.0, 0.0, 8.0, 10.0,
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9.0, 10.0, 0.0, 12.0, 0.0,
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0.0, -8.0, 3.0, 5.0, 9.0,
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0.0, 0.0, 1.0, 0.0, -10.0
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);
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let cs_a: CsMatrix<_, _, _> = a.into();
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assert!(cs_a.tr_solve_lower_triangular(&b).is_none());
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}
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#[test]
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fn cs_lower_triangular_solve_cs() {
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let a = Matrix5::new(
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4.0, 1.0, 4.0, 0.0, 9.0,
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5.0, 6.0, 0.0, 8.0, 10.0,
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9.0, 10.0, 11.0, 12.0, 0.0,
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0.0, -8.0, 3.0, 5.0, 9.0,
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0.0, 0.0, 1.0, 0.0, -10.0
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);
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let b1 = Vector5::zeros();
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let b2 = Vector5::new(1.0, 2.0, 3.0, 4.0, 5.0);
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let b3 = Vector5::new(1.0, 0.0, 0.0, 4.0, 0.0);
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let b4 = Vector5::new(0.0, 1.0, 0.0, 4.0, 5.0);
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let b5 = Vector5::x();
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let b6 = Vector5::y();
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let b7 = Vector5::z();
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let b8 = Vector5::w();
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let b9 = Vector5::a();
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let cs_a: CsMatrix<_, _, _> = a.into();
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let cs_b1: CsVector<_, _> = Vector5::zeros().into();
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let cs_b2: CsVector<_, _> = Vector5::new(1.0, 2.0, 3.0, 4.0, 5.0).into();
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let cs_b3: CsVector<_, _> = Vector5::new(1.0, 0.0, 0.0, 4.0, 0.0).into();
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let cs_b4: CsVector<_, _> = Vector5::new(0.0, 1.0, 0.0, 4.0, 5.0).into();
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let cs_b5: CsVector<_, _> = Vector5::x().into();
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let cs_b6: CsVector<_, _> = Vector5::y().into();
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let cs_b7: CsVector<_, _> = Vector5::z().into();
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let cs_b8: CsVector<_, _> = Vector5::w().into();
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let cs_b9: CsVector<_, _> = Vector5::a().into();
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assert_eq!(cs_a.solve_lower_triangular_cs(&cs_b1).map(|v| { assert!(v.is_sorted()); v.into() }), a.solve_lower_triangular(&b1));
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assert_eq!(cs_a.solve_lower_triangular_cs(&cs_b5).map(|v| { assert!(v.is_sorted()); v.into() }), a.solve_lower_triangular(&b5));
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assert_eq!(cs_a.solve_lower_triangular_cs(&cs_b6).map(|v| { assert!(v.is_sorted()); v.into() }), a.solve_lower_triangular(&b6));
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assert_eq!(cs_a.solve_lower_triangular_cs(&cs_b7).map(|v| { assert!(v.is_sorted()); v.into() }), a.solve_lower_triangular(&b7));
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assert_eq!(cs_a.solve_lower_triangular_cs(&cs_b8).map(|v| { assert!(v.is_sorted()); v.into() }), a.solve_lower_triangular(&b8));
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assert_eq!(cs_a.solve_lower_triangular_cs(&cs_b9).map(|v| { assert!(v.is_sorted()); v.into() }), a.solve_lower_triangular(&b9));
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assert_eq!(cs_a.solve_lower_triangular_cs(&cs_b2).map(|v| { assert!(v.is_sorted()); v.into() }), a.solve_lower_triangular(&b2));
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assert_eq!(cs_a.solve_lower_triangular_cs(&cs_b3).map(|v| { assert!(v.is_sorted()); v.into() }), a.solve_lower_triangular(&b3));
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assert_eq!(cs_a.solve_lower_triangular_cs(&cs_b4).map(|v| { assert!(v.is_sorted()); v.into() }), a.solve_lower_triangular(&b4));
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// Singular case.
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let a = Matrix5::new(
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4.0, 1.0, 4.0, 0.0, 9.0,
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5.0, 0.0, 0.0, 8.0, 10.0,
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9.0, 10.0, 0.0, 12.0, 0.0,
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0.0, -8.0, 3.0, 5.0, 9.0,
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0.0, 0.0, 1.0, 0.0, -10.0
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);
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let cs_a: CsMatrix<_, _, _> = a.into();
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assert!(cs_a.solve_lower_triangular_cs(&cs_b2).is_none());
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assert!(cs_a.solve_lower_triangular_cs(&cs_b3).is_none());
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assert!(cs_a.solve_lower_triangular_cs(&cs_b4).is_none());
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}
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