nalgebra/tests/core/edition.rs

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use na::{
DMatrix, Matrix, Matrix3, Matrix3x4, Matrix3x5, Matrix4, Matrix4x3, Matrix4x5, Matrix5,
Matrix5x3, Matrix5x4,
};
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use na::{Dyn, U3, U5};
#[test]
#[rustfmt::skip]
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]
#[rustfmt::skip]
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]
#[rustfmt::skip]
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]
#[rustfmt::skip]
fn remove_columns() {
let m = Matrix3x5::new(
11, 12, 13, 14, 15,
21, 22, 23, 24, 25,
31, 32, 33, 34, 35);
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let expected_a1 = Matrix3x4::new(
12, 13, 14, 15,
22, 23, 24, 25,
32, 33, 34, 35);
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let expected_a2 = Matrix3x4::new(
11, 12, 13, 14,
21, 22, 23, 24,
31, 32, 33, 34);
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let expected_a3 = Matrix3x4::new(
11, 12, 14, 15,
21, 22, 24, 25,
31, 32, 34, 35);
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assert_eq!(m.remove_column(0), expected_a1);
assert_eq!(m.remove_column(4), expected_a2);
assert_eq!(m.remove_column(2), expected_a3);
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let expected_b1 = Matrix3::new(
13, 14, 15,
23, 24, 25,
33, 34, 35);
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let expected_b2 = Matrix3::new(
11, 12, 13,
21, 22, 23,
31, 32, 33);
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let expected_b3 = Matrix3::new(
11, 12, 15,
21, 22, 25,
31, 32, 35);
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assert_eq!(m.remove_fixed_columns::<2>(0), expected_b1);
assert_eq!(m.remove_fixed_columns::<2>(3), expected_b2);
assert_eq!(m.remove_fixed_columns::<2>(2), expected_b3);
// The following is just to verify that the return type dimensions is correctly inferred.
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let computed: Matrix<_, U3, Dyn, _> = m.remove_columns(3, 2);
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assert!(computed.eq(&expected_b2));
/*
* Same thing but using a non-copy scalar type.
*/
let m = m.map(Box::new);
let expected_a1 = expected_a1.map(Box::new);
let expected_a2 = expected_a2.map(Box::new);
let expected_a3 = expected_a3.map(Box::new);
assert_eq!(m.clone().remove_column(0), expected_a1);
assert_eq!(m.clone().remove_column(4), expected_a2);
assert_eq!(m.clone().remove_column(2), expected_a3);
let expected_b1 = expected_b1.map(Box::new);
let expected_b2 = expected_b2.map(Box::new);
let expected_b3 = expected_b3.map(Box::new);
assert_eq!(m.clone().remove_fixed_columns::<2>(0), expected_b1);
assert_eq!(m.clone().remove_fixed_columns::<2>(3), expected_b2);
assert_eq!(m.remove_fixed_columns::<2>(2), expected_b3);
}
#[test]
#[rustfmt::skip]
fn remove_columns_at() {
let m = DMatrix::from_row_slice(5, 5, &[
11, 12, 13, 14, 15,
21, 22, 23, 24, 25,
31, 32, 33, 34, 35,
41, 42, 43, 44, 45,
51, 52, 53, 54, 55
]);
let expected1 = DMatrix::from_row_slice(5, 4, &[
12, 13, 14, 15,
22, 23, 24, 25,
32, 33, 34, 35,
42, 43, 44, 45,
52, 53, 54, 55
]);
assert_eq!(m.remove_columns_at(&[0]), expected1);
let m = DMatrix::from_row_slice(5, 5, &[
11, 12, 13, 14, 15,
21, 22, 23, 24, 25,
31, 32, 33, 34, 35,
41, 42, 43, 44, 45,
51, 52, 53, 54, 55
]);
let expected2 = DMatrix::from_row_slice(5, 3, &[
11, 13, 15,
21, 23, 25,
31, 33, 35,
41, 43, 45,
51, 53, 55
]);
assert_eq!(m.remove_columns_at(&[1,3]), expected2);
let m = DMatrix::from_row_slice(5, 5, &[
11, 12, 13, 14, 15,
21, 22, 23, 24, 25,
31, 32, 33, 34, 35,
41, 42, 43, 44, 45,
51, 52, 53, 54, 55
]);
let expected3 = DMatrix::from_row_slice(5, 2, &[
12, 13,
22, 23,
32, 33,
42, 43,
52, 53,
]);
assert_eq!(m.remove_columns_at(&[0,3,4]), expected3);
}
#[test]
#[rustfmt::skip]
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);
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assert_eq!(m.remove_fixed_rows::<2>(0), expected1);
assert_eq!(m.remove_fixed_rows::<2>(3), expected2);
assert_eq!(m.remove_fixed_rows::<2>(2), expected3);
// The following is just to verify that the return type dimensions is correctly inferred.
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let computed: Matrix<_, Dyn, U3, _> = m.remove_rows(3, 2);
assert!(computed.eq(&expected2));
}
#[test]
#[rustfmt::skip]
fn remove_rows_at() {
let m = DMatrix::from_row_slice(5, 5, &[
11, 12, 13, 14, 15,
21, 22, 23, 24, 25,
31, 32, 33, 34, 35,
41, 42, 43, 44, 45,
51, 52, 53, 54, 55
]);
let expected1 = DMatrix::from_row_slice(4, 5, &[
21, 22, 23, 24, 25,
31, 32, 33, 34, 35,
41, 42, 43, 44, 45,
51, 52, 53, 54, 55
]);
assert_eq!(m.remove_rows_at(&[0]), expected1);
let m = DMatrix::from_row_slice(5, 5, &[
11, 12, 13, 14, 15,
21, 22, 23, 24, 25,
31, 32, 33, 34, 35,
41, 42, 43, 44, 45,
51, 52, 53, 54, 55
]);
let expected2 = DMatrix::from_row_slice(3, 5, &[
11, 12, 13, 14, 15,
31, 32, 33, 34, 35,
51, 52, 53, 54, 55
]);
assert_eq!(m.remove_rows_at(&[1,3]), expected2);
let m = DMatrix::from_row_slice(5, 5, &[
11, 12, 13, 14, 15,
21, 22, 23, 24, 25,
31, 32, 33, 34, 35,
41, 42, 43, 44, 45,
51, 52, 53, 54, 55
]);
let expected3 = DMatrix::from_row_slice(2, 5, &[
21, 22, 23, 24, 25,
31, 32, 33, 34, 35
]);
assert_eq!(m.remove_rows_at(&[0,3,4]), expected3);
}
#[test]
#[rustfmt::skip]
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);
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assert_eq!(m.insert_fixed_columns::<2>(0, 0), expected1);
assert_eq!(m.insert_fixed_columns::<2>(3, 0), expected2);
assert_eq!(m.insert_fixed_columns::<2>(2, 0), expected3);
// The following is just to verify that the return type dimensions is correctly inferred.
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let computed: Matrix<_, U5, Dyn, _> = m.insert_columns(3, 2, 0);
assert!(computed.eq(&expected2));
}
#[test]
#[rustfmt::skip]
fn insert_columns_to_empty_matrix() {
let m1 = DMatrix::repeat(0, 0, 0);
let m2 = DMatrix::repeat(3, 0, 0);
let expected1 = DMatrix::repeat(0, 5, 42);
let expected2 = DMatrix::repeat(3, 5, 42);
assert_eq!(expected1, m1.insert_columns(0, 5, 42));
assert_eq!(expected2, m2.insert_columns(0, 5, 42));
}
#[test]
#[rustfmt::skip]
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);
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assert_eq!(m.insert_fixed_rows::<2>(0, 0), expected1);
assert_eq!(m.insert_fixed_rows::<2>(3, 0), expected2);
assert_eq!(m.insert_fixed_rows::<2>(2, 0), expected3);
// The following is just to verify that the return type dimensions is correctly inferred.
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let computed: Matrix<_, Dyn, U5, _> = m.insert_rows(3, 2, 0);
assert!(computed.eq(&expected2));
}
#[test]
fn insert_rows_to_empty_matrix() {
let m1 = DMatrix::repeat(0, 0, 0);
let m2 = DMatrix::repeat(0, 5, 0);
let expected1 = DMatrix::repeat(3, 0, 42);
let expected2 = DMatrix::repeat(3, 5, 42);
assert_eq!(expected1, m1.insert_rows(0, 3, 42));
assert_eq!(expected2, m2.insert_rows(0, 3, 42));
}
#[test]
#[rustfmt::skip]
fn resize() {
let m = Matrix3x5::new(
11, 12, 13, 14, 15,
21, 22, 23, 24, 25,
31, 32, 33, 34, 35);
let add_colls = DMatrix::from_row_slice(3, 6, &[
11, 12, 13, 14, 15, 42,
21, 22, 23, 24, 25, 42,
31, 32, 33, 34, 35, 42]);
let del_colls = DMatrix::from_row_slice(3, 4, &[
11, 12, 13, 14,
21, 22, 23, 24,
31, 32, 33, 34]);
let add_rows = DMatrix::from_row_slice(4, 5, &[
11, 12, 13, 14, 15,
21, 22, 23, 24, 25,
31, 32, 33, 34, 35,
42, 42, 42, 42, 42]);
let del_rows = DMatrix::from_row_slice(2, 5, &[
11, 12, 13, 14, 15,
21, 22, 23, 24, 25]);
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!(add_colls, m.resize(3, 6, 42));
assert_eq!(del_colls, m.resize(3, 4, 42));
assert_eq!(add_rows, m.resize(4, 5, 42));
assert_eq!(del_rows, m.resize(2, 5, 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));
}
#[test]
fn resize_empty_matrix() {
let m1 = DMatrix::repeat(0, 0, 0);
let m2 = DMatrix::repeat(1, 0, 0); // Less rows than target size.
let m3 = DMatrix::repeat(3, 0, 0); // Same rows as target size.
let m4 = DMatrix::repeat(9, 0, 0); // More rows than target size.
let m5 = DMatrix::repeat(0, 1, 0); // Less columns than target size.
let m6 = DMatrix::repeat(0, 5, 0); // Same columns as target size.
let m7 = DMatrix::repeat(0, 9, 0); // More columns than target size.
let resized = DMatrix::repeat(3, 5, 42);
let resized_wo_rows = DMatrix::repeat(0, 5, 42);
let resized_wo_cols = DMatrix::repeat(3, 0, 42);
assert_eq!(resized, m1.clone().resize(3, 5, 42));
assert_eq!(resized, m2.clone().resize(3, 5, 42));
assert_eq!(resized, m3.clone().resize(3, 5, 42));
assert_eq!(resized, m4.clone().resize(3, 5, 42));
assert_eq!(resized, m5.clone().resize(3, 5, 42));
assert_eq!(resized, m6.clone().resize(3, 5, 42));
assert_eq!(resized, m7.clone().resize(3, 5, 42));
assert_eq!(resized_wo_rows, m1.clone().resize(0, 5, 42));
assert_eq!(resized_wo_rows, m2.clone().resize(0, 5, 42));
assert_eq!(resized_wo_rows, m3.clone().resize(0, 5, 42));
assert_eq!(resized_wo_rows, m4.clone().resize(0, 5, 42));
assert_eq!(resized_wo_rows, m5.clone().resize(0, 5, 42));
assert_eq!(resized_wo_rows, m6.clone().resize(0, 5, 42));
assert_eq!(resized_wo_rows, m7.clone().resize(0, 5, 42));
assert_eq!(resized_wo_cols, m1.clone().resize(3, 0, 42));
assert_eq!(resized_wo_cols, m2.clone().resize(3, 0, 42));
assert_eq!(resized_wo_cols, m3.clone().resize(3, 0, 42));
assert_eq!(resized_wo_cols, m4.clone().resize(3, 0, 42));
assert_eq!(resized_wo_cols, m5.clone().resize(3, 0, 42));
assert_eq!(resized_wo_cols, m6.clone().resize(3, 0, 42));
assert_eq!(resized_wo_cols, m7.clone().resize(3, 0, 42));
assert_eq!(m1, m1.clone().resize(0, 0, 42));
assert_eq!(m1, m2.resize(0, 0, 42));
assert_eq!(m1, m3.resize(0, 0, 42));
assert_eq!(m1, m4.resize(0, 0, 42));
assert_eq!(m1, m5.resize(0, 0, 42));
assert_eq!(m1, m6.resize(0, 0, 42));
assert_eq!(m1, m7.resize(0, 0, 42));
}