nalgebra/tests/core/edition.rs

472 lines
12 KiB
Rust

use na::{Matrix,
DMatrix,
Matrix3, Matrix4, Matrix5,
Matrix4x3, Matrix3x4, Matrix5x3, Matrix3x5, Matrix4x5, Matrix5x4};
use na::{Dynamic, U2, U3, U5};
#[test]
fn upper_lower_triangular() {
let m = Matrix4::new(
11.0, 12.0, 13.0, 14.0,
21.0, 22.0, 23.0, 24.0,
31.0, 32.0, 33.0, 34.0,
41.0, 42.0, 43.0, 44.0);
let um = Matrix4::new(
11.0, 12.0, 13.0, 14.0,
0.0, 22.0, 23.0, 24.0,
0.0, 0.0, 33.0, 34.0,
0.0, 0.0, 0.0, 44.0);
let lm = Matrix4::new(
11.0, 0.0, 0.0, 0.0,
21.0, 22.0, 0.0, 0.0,
31.0, 32.0, 33.0, 0.0,
41.0, 42.0, 43.0, 44.0);
let computed_um = m.upper_triangle();
let computed_lm = m.lower_triangle();
assert_eq!(um, computed_um);
assert_eq!(lm, computed_lm);
let symm_um = Matrix4::new(
11.0, 12.0, 13.0, 14.0,
12.0, 22.0, 23.0, 24.0,
13.0, 23.0, 33.0, 34.0,
14.0, 24.0, 34.0, 44.0);
let symm_lm = Matrix4::new(
11.0, 21.0, 31.0, 41.0,
21.0, 22.0, 32.0, 42.0,
31.0, 32.0, 33.0, 43.0,
41.0, 42.0, 43.0, 44.0);
let mut computed_symm_um = m.clone();
let mut computed_symm_lm = m.clone();
computed_symm_um.fill_lower_triangle_with_upper_triangle();
computed_symm_lm.fill_upper_triangle_with_lower_triangle();
assert_eq!(symm_um, computed_symm_um);
assert_eq!(symm_lm, computed_symm_lm);
let m = Matrix5x3::new(
11.0, 12.0, 13.0,
21.0, 22.0, 23.0,
31.0, 32.0, 33.0,
41.0, 42.0, 43.0,
51.0, 52.0, 53.0);
let um = Matrix5x3::new(
11.0, 12.0, 13.0,
0.0, 22.0, 23.0,
0.0, 0.0, 33.0,
0.0, 0.0, 0.0,
0.0, 0.0, 0.0);
let lm = Matrix5x3::new(
11.0, 0.0, 0.0,
21.0, 22.0, 0.0,
31.0, 32.0, 33.0,
41.0, 42.0, 43.0,
51.0, 52.0, 53.0);
let computed_um = m.upper_triangle();
let computed_lm = m.lower_triangle();
assert_eq!(um, computed_um);
assert_eq!(lm, computed_lm);
let m = Matrix3x5::new(
11.0, 12.0, 13.0, 14.0, 15.0,
21.0, 22.0, 23.0, 24.0, 25.0,
31.0, 32.0, 33.0, 34.0, 35.0);
let um = Matrix3x5::new(
11.0, 12.0, 13.0, 14.0, 15.0,
0.0, 22.0, 23.0, 24.0, 25.0,
0.0, 0.0, 33.0, 34.0, 35.0);
let lm = Matrix3x5::new(
11.0, 0.0, 0.0, 0.0, 0.0,
21.0, 22.0, 0.0, 0.0, 0.0,
31.0, 32.0, 33.0, 0.0, 0.0);
let computed_um = m.upper_triangle();
let computed_lm = m.lower_triangle();
assert_eq!(um, computed_um);
assert_eq!(lm, computed_lm);
let mut m = Matrix4x5::new(
11.0, 12.0, 13.0, 14.0, 15.0,
21.0, 22.0, 23.0, 24.0, 25.0,
31.0, 32.0, 33.0, 34.0, 35.0,
41.0, 42.0, 43.0, 44.0, 45.0);
let expected_m = Matrix4x5::new(
11.0, 12.0, 0.0, 0.0, 0.0,
21.0, 22.0, 23.0, 0.0, 0.0,
31.0, 32.0, 33.0, 34.0, 0.0,
41.0, 42.0, 43.0, 44.0, 45.0);
m.fill_upper_triangle(0.0, 2);
assert_eq!(m, expected_m);
let mut m = Matrix4x5::new(
11.0, 12.0, 13.0, 14.0, 15.0,
21.0, 22.0, 23.0, 24.0, 25.0,
31.0, 32.0, 33.0, 34.0, 35.0,
41.0, 42.0, 43.0, 44.0, 45.0);
let expected_m = Matrix4x5::new(
11.0, 12.0, 13.0, 14.0, 15.0,
21.0, 22.0, 23.0, 24.0, 25.0,
0.0, 32.0, 33.0, 34.0, 35.0,
0.0, 0.0, 43.0, 44.0, 45.0);
m.fill_lower_triangle(0.0, 2);
assert_eq!(m, expected_m);
let mut m = Matrix5x4::new(
11.0, 12.0, 13.0, 14.0,
21.0, 22.0, 23.0, 24.0,
31.0, 32.0, 33.0, 34.0,
41.0, 42.0, 43.0, 44.0,
51.0, 52.0, 53.0, 54.0);
let expected_m = Matrix5x4::new(
11.0, 12.0, 0.0, 0.0,
21.0, 22.0, 23.0, 0.0,
31.0, 32.0, 33.0, 34.0,
41.0, 42.0, 43.0, 44.0,
51.0, 52.0, 53.0, 54.0);
m.fill_upper_triangle(0.0, 2);
assert_eq!(m, expected_m);
let mut m = Matrix5x4::new(
11.0, 12.0, 13.0, 14.0,
21.0, 22.0, 23.0, 24.0,
31.0, 32.0, 33.0, 34.0,
41.0, 42.0, 43.0, 44.0,
51.0, 52.0, 53.0, 54.0);
let expected_m = Matrix5x4::new(
11.0, 12.0, 13.0, 14.0,
21.0, 22.0, 23.0, 24.0,
0.0, 32.0, 33.0, 34.0,
0.0, 0.0, 43.0, 44.0,
0.0, 0.0, 0.0, 54.0);
m.fill_lower_triangle(0.0, 2);
assert_eq!(m, expected_m);
}
#[test]
fn swap_rows() {
let mut m = Matrix5x3::new(
11.0, 12.0, 13.0,
21.0, 22.0, 23.0,
31.0, 32.0, 33.0,
41.0, 42.0, 43.0,
51.0, 52.0, 53.0);
let expected = Matrix5x3::new(
11.0, 12.0, 13.0,
41.0, 42.0, 43.0,
31.0, 32.0, 33.0,
21.0, 22.0, 23.0,
51.0, 52.0, 53.0);
m.swap_rows(1, 3);
assert_eq!(m, expected);
}
#[test]
fn swap_columns() {
let mut m = Matrix3x5::new(
11.0, 12.0, 13.0, 14.0, 15.0,
21.0, 22.0, 23.0, 24.0, 25.0,
31.0, 32.0, 33.0, 34.0, 35.0);
let expected = Matrix3x5::new(
11.0, 14.0, 13.0, 12.0, 15.0,
21.0, 24.0, 23.0, 22.0, 25.0,
31.0, 34.0, 33.0, 32.0, 35.0);
m.swap_columns(1, 3);
assert_eq!(m, expected);
}
#[test]
fn remove_columns() {
let m = Matrix3x5::new(
11, 12, 13, 14, 15,
21, 22, 23, 24, 25,
31, 32, 33, 34, 35);
let expected1 = Matrix3x4::new(
12, 13, 14, 15,
22, 23, 24, 25,
32, 33, 34, 35);
let expected2 = Matrix3x4::new(
11, 12, 13, 14,
21, 22, 23, 24,
31, 32, 33, 34);
let expected3 = Matrix3x4::new(
11, 12, 14, 15,
21, 22, 24, 25,
31, 32, 34, 35);
assert_eq!(m.remove_column(0), expected1);
assert_eq!(m.remove_column(4), expected2);
assert_eq!(m.remove_column(2), expected3);
let expected1 = Matrix3::new(
13, 14, 15,
23, 24, 25,
33, 34, 35);
let expected2 = Matrix3::new(
11, 12, 13,
21, 22, 23,
31, 32, 33);
let expected3 = Matrix3::new(
11, 12, 15,
21, 22, 25,
31, 32, 35);
assert_eq!(m.remove_fixed_columns::<U2>(0), expected1);
assert_eq!(m.remove_fixed_columns::<U2>(3), expected2);
assert_eq!(m.remove_fixed_columns::<U2>(2), expected3);
// The following is just to verify that the return type dimensions is correctly inferred.
let computed: Matrix<_, U3, Dynamic, _> = m.remove_columns(3, 2);
assert!(computed.eq(&expected2));
}
#[test]
fn remove_rows() {
let m = Matrix5x3::new(
11, 12, 13,
21, 22, 23,
31, 32, 33,
41, 42, 43,
51, 52, 53);
let expected1 = Matrix4x3::new(
21, 22, 23,
31, 32, 33,
41, 42, 43,
51, 52, 53);
let expected2 = Matrix4x3::new(
11, 12, 13,
21, 22, 23,
31, 32, 33,
41, 42, 43);
let expected3 = Matrix4x3::new(
11, 12, 13,
21, 22, 23,
41, 42, 43,
51, 52, 53);
assert_eq!(m.remove_row(0), expected1);
assert_eq!(m.remove_row(4), expected2);
assert_eq!(m.remove_row(2), expected3);
let expected1 = Matrix3::new(
31, 32, 33,
41, 42, 43,
51, 52, 53);
let expected2 = Matrix3::new(
11, 12, 13,
21, 22, 23,
31, 32, 33);
let expected3 = Matrix3::new(
11, 12, 13,
21, 22, 23,
51, 52, 53);
assert_eq!(m.remove_fixed_rows::<U2>(0), expected1);
assert_eq!(m.remove_fixed_rows::<U2>(3), expected2);
assert_eq!(m.remove_fixed_rows::<U2>(2), expected3);
// The following is just to verify that the return type dimensions is correctly inferred.
let computed: Matrix<_, Dynamic, U3, _> = m.remove_rows(3, 2);
assert!(computed.eq(&expected2));
}
#[test]
fn insert_columns() {
let m = Matrix5x3::new(
11, 12, 13,
21, 22, 23,
31, 32, 33,
41, 42, 43,
51, 52, 53);
let expected1 = Matrix5x4::new(
0, 11, 12, 13,
0, 21, 22, 23,
0, 31, 32, 33,
0, 41, 42, 43,
0, 51, 52, 53);
let expected2 = Matrix5x4::new(
11, 12, 13, 0,
21, 22, 23, 0,
31, 32, 33, 0,
41, 42, 43, 0,
51, 52, 53, 0);
let expected3 = Matrix5x4::new(
11, 12, 0, 13,
21, 22, 0, 23,
31, 32, 0, 33,
41, 42, 0, 43,
51, 52, 0, 53);
assert_eq!(m.insert_column(0, 0), expected1);
assert_eq!(m.insert_column(3, 0), expected2);
assert_eq!(m.insert_column(2, 0), expected3);
let expected1 = Matrix5::new(
0, 0, 11, 12, 13,
0, 0, 21, 22, 23,
0, 0, 31, 32, 33,
0, 0, 41, 42, 43,
0, 0, 51, 52, 53);
let expected2 = Matrix5::new(
11, 12, 13, 0, 0,
21, 22, 23, 0, 0,
31, 32, 33, 0, 0,
41, 42, 43, 0, 0,
51, 52, 53, 0, 0);
let expected3 = Matrix5::new(
11, 12, 0, 0, 13,
21, 22, 0, 0, 23,
31, 32, 0, 0, 33,
41, 42, 0, 0, 43,
51, 52, 0, 0, 53);
assert_eq!(m.insert_fixed_columns::<U2>(0, 0), expected1);
assert_eq!(m.insert_fixed_columns::<U2>(3, 0), expected2);
assert_eq!(m.insert_fixed_columns::<U2>(2, 0), expected3);
// The following is just to verify that the return type dimensions is correctly inferred.
let computed: Matrix<_, U5, Dynamic, _> = m.insert_columns(3, 2, 0);
assert!(computed.eq(&expected2));
}
#[test]
fn insert_rows() {
let m = Matrix3x5::new(
11, 12, 13, 14, 15,
21, 22, 23, 24, 25,
31, 32, 33, 34, 35);
let expected1 = Matrix4x5::new(
0, 0, 0, 0, 0,
11, 12, 13, 14, 15,
21, 22, 23, 24, 25,
31, 32, 33, 34, 35);
let expected2 = Matrix4x5::new(
11, 12, 13, 14, 15,
21, 22, 23, 24, 25,
31, 32, 33, 34, 35,
0, 0, 0, 0, 0);
let expected3 = Matrix4x5::new(
11, 12, 13, 14, 15,
21, 22, 23, 24, 25,
0, 0, 0, 0, 0,
31, 32, 33, 34, 35);
assert_eq!(m.insert_row(0, 0), expected1);
assert_eq!(m.insert_row(3, 0), expected2);
assert_eq!(m.insert_row(2, 0), expected3);
let expected1 = Matrix5::new(
0, 0, 0, 0, 0,
0, 0, 0, 0, 0,
11, 12, 13, 14, 15,
21, 22, 23, 24, 25,
31, 32, 33, 34, 35);
let expected2 = Matrix5::new(
11, 12, 13, 14, 15,
21, 22, 23, 24, 25,
31, 32, 33, 34, 35,
0, 0, 0, 0, 0,
0, 0, 0, 0, 0);
let expected3 = Matrix5::new(
11, 12, 13, 14, 15,
21, 22, 23, 24, 25,
0, 0, 0, 0, 0,
0, 0, 0, 0, 0,
31, 32, 33, 34, 35);
assert_eq!(m.insert_fixed_rows::<U2>(0, 0), expected1);
assert_eq!(m.insert_fixed_rows::<U2>(3, 0), expected2);
assert_eq!(m.insert_fixed_rows::<U2>(2, 0), expected3);
// The following is just to verify that the return type dimensions is correctly inferred.
let computed: Matrix<_, Dynamic, U5, _> = m.insert_rows(3, 2, 0);
assert!(computed.eq(&expected2));
}
#[test]
fn resize() {
let m = Matrix3x5::new(
11, 12, 13, 14, 15,
21, 22, 23, 24, 25,
31, 32, 33, 34, 35);
let add_add = DMatrix::from_row_slice(5, 6, &[
11, 12, 13, 14, 15, 42,
21, 22, 23, 24, 25, 42,
31, 32, 33, 34, 35, 42,
42, 42, 42, 42, 42, 42,
42, 42, 42, 42, 42, 42]);
let del_del = DMatrix::from_row_slice(1, 2, &[11, 12]);
let add_del = DMatrix::from_row_slice(5, 2, &[
11, 12,
21, 22,
31, 32,
42, 42,
42, 42]);
let del_add = DMatrix::from_row_slice(1, 8, &[
11, 12, 13, 14, 15, 42, 42, 42]);
assert_eq!(del_del, m.resize(1, 2, 42));
assert_eq!(add_add, m.resize(5, 6, 42));
assert_eq!(add_del, m.resize(5, 2, 42));
assert_eq!(del_add, m.resize(1, 8, 42));
}