nalgebra/nalgebra-sparse/tests/unit_tests/csc.rs

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use nalgebra::DMatrix;
use nalgebra_sparse::csc::CscMatrix;
use nalgebra_sparse::SparseFormatErrorKind;
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use proptest::prelude::*;
use proptest::sample::subsequence;
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use crate::common::csc_strategy;
use std::collections::HashSet;
#[test]
fn csc_matrix_valid_data() {
// Construct matrix from valid data and check that selected methods return results
// that agree with expectations.
{
// A CSC matrix with zero explicitly stored entries
let offsets = vec![0, 0, 0, 0];
let indices = vec![];
let values = Vec::<i32>::new();
let mut matrix = CscMatrix::try_from_csc_data(2, 3, offsets, indices, values).unwrap();
assert_eq!(matrix, CscMatrix::zeros(2, 3));
assert_eq!(matrix.nrows(), 2);
assert_eq!(matrix.ncols(), 3);
assert_eq!(matrix.nnz(), 0);
assert_eq!(matrix.col_offsets(), &[0, 0, 0, 0]);
assert_eq!(matrix.row_indices(), &[]);
assert_eq!(matrix.values(), &[]);
assert!(matrix.triplet_iter().next().is_none());
assert!(matrix.triplet_iter_mut().next().is_none());
assert_eq!(matrix.col(0).nrows(), 2);
assert_eq!(matrix.col(0).nnz(), 0);
assert_eq!(matrix.col(0).row_indices(), &[]);
assert_eq!(matrix.col(0).values(), &[]);
assert_eq!(matrix.col_mut(0).nrows(), 2);
assert_eq!(matrix.col_mut(0).nnz(), 0);
assert_eq!(matrix.col_mut(0).row_indices(), &[]);
assert_eq!(matrix.col_mut(0).values(), &[]);
assert_eq!(matrix.col_mut(0).values_mut(), &[]);
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assert_eq!(
matrix.col_mut(0).rows_and_values_mut(),
([].as_ref(), [].as_mut())
);
assert_eq!(matrix.col(1).nrows(), 2);
assert_eq!(matrix.col(1).nnz(), 0);
assert_eq!(matrix.col(1).row_indices(), &[]);
assert_eq!(matrix.col(1).values(), &[]);
assert_eq!(matrix.col_mut(1).nrows(), 2);
assert_eq!(matrix.col_mut(1).nnz(), 0);
assert_eq!(matrix.col_mut(1).row_indices(), &[]);
assert_eq!(matrix.col_mut(1).values(), &[]);
assert_eq!(matrix.col_mut(1).values_mut(), &[]);
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assert_eq!(
matrix.col_mut(1).rows_and_values_mut(),
([].as_ref(), [].as_mut())
);
assert_eq!(matrix.col(2).nrows(), 2);
assert_eq!(matrix.col(2).nnz(), 0);
assert_eq!(matrix.col(2).row_indices(), &[]);
assert_eq!(matrix.col(2).values(), &[]);
assert_eq!(matrix.col_mut(2).nrows(), 2);
assert_eq!(matrix.col_mut(2).nnz(), 0);
assert_eq!(matrix.col_mut(2).row_indices(), &[]);
assert_eq!(matrix.col_mut(2).values(), &[]);
assert_eq!(matrix.col_mut(2).values_mut(), &[]);
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assert_eq!(
matrix.col_mut(2).rows_and_values_mut(),
([].as_ref(), [].as_mut())
);
assert!(matrix.get_col(3).is_none());
assert!(matrix.get_col_mut(3).is_none());
let (offsets, indices, values) = matrix.disassemble();
assert_eq!(offsets, vec![0, 0, 0, 0]);
assert_eq!(indices, vec![]);
assert_eq!(values, vec![]);
}
{
// An arbitrary CSC matrix
let offsets = vec![0, 2, 2, 5];
let indices = vec![0, 5, 1, 2, 3];
let values = vec![0, 1, 2, 3, 4];
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let mut matrix =
CscMatrix::try_from_csc_data(6, 3, offsets.clone(), indices.clone(), values.clone())
.unwrap();
assert_eq!(matrix.nrows(), 6);
assert_eq!(matrix.ncols(), 3);
assert_eq!(matrix.nnz(), 5);
assert_eq!(matrix.col_offsets(), &[0, 2, 2, 5]);
assert_eq!(matrix.row_indices(), &[0, 5, 1, 2, 3]);
assert_eq!(matrix.values(), &[0, 1, 2, 3, 4]);
let expected_triplets = vec![(0, 0, 0), (5, 0, 1), (1, 2, 2), (2, 2, 3), (3, 2, 4)];
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assert_eq!(
matrix
.triplet_iter()
.map(|(i, j, v)| (i, j, *v))
.collect::<Vec<_>>(),
expected_triplets
);
assert_eq!(
matrix
.triplet_iter_mut()
.map(|(i, j, v)| (i, j, *v))
.collect::<Vec<_>>(),
expected_triplets
);
assert_eq!(matrix.col(0).nrows(), 6);
assert_eq!(matrix.col(0).nnz(), 2);
assert_eq!(matrix.col(0).row_indices(), &[0, 5]);
assert_eq!(matrix.col(0).values(), &[0, 1]);
assert_eq!(matrix.col_mut(0).nrows(), 6);
assert_eq!(matrix.col_mut(0).nnz(), 2);
assert_eq!(matrix.col_mut(0).row_indices(), &[0, 5]);
assert_eq!(matrix.col_mut(0).values(), &[0, 1]);
assert_eq!(matrix.col_mut(0).values_mut(), &[0, 1]);
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assert_eq!(
matrix.col_mut(0).rows_and_values_mut(),
([0, 5].as_ref(), [0, 1].as_mut())
);
assert_eq!(matrix.col(1).nrows(), 6);
assert_eq!(matrix.col(1).nnz(), 0);
assert_eq!(matrix.col(1).row_indices(), &[]);
assert_eq!(matrix.col(1).values(), &[]);
assert_eq!(matrix.col_mut(1).nrows(), 6);
assert_eq!(matrix.col_mut(1).nnz(), 0);
assert_eq!(matrix.col_mut(1).row_indices(), &[]);
assert_eq!(matrix.col_mut(1).values(), &[]);
assert_eq!(matrix.col_mut(1).values_mut(), &[]);
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assert_eq!(
matrix.col_mut(1).rows_and_values_mut(),
([].as_ref(), [].as_mut())
);
assert_eq!(matrix.col(2).nrows(), 6);
assert_eq!(matrix.col(2).nnz(), 3);
assert_eq!(matrix.col(2).row_indices(), &[1, 2, 3]);
assert_eq!(matrix.col(2).values(), &[2, 3, 4]);
assert_eq!(matrix.col_mut(2).nrows(), 6);
assert_eq!(matrix.col_mut(2).nnz(), 3);
assert_eq!(matrix.col_mut(2).row_indices(), &[1, 2, 3]);
assert_eq!(matrix.col_mut(2).values(), &[2, 3, 4]);
assert_eq!(matrix.col_mut(2).values_mut(), &[2, 3, 4]);
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assert_eq!(
matrix.col_mut(2).rows_and_values_mut(),
([1, 2, 3].as_ref(), [2, 3, 4].as_mut())
);
assert!(matrix.get_col(3).is_none());
assert!(matrix.get_col_mut(3).is_none());
let (offsets2, indices2, values2) = matrix.disassemble();
assert_eq!(offsets2, offsets);
assert_eq!(indices2, indices);
assert_eq!(values2, values);
}
}
#[test]
fn csc_matrix_try_from_invalid_csc_data() {
{
// Empty offset array (invalid length)
let matrix = CscMatrix::try_from_csc_data(0, 0, Vec::new(), Vec::new(), Vec::<u32>::new());
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assert_eq!(
matrix.unwrap_err().kind(),
&SparseFormatErrorKind::InvalidStructure
);
}
{
// Offset array invalid length for arbitrary data
let offsets = vec![0, 3, 5];
let indices = vec![0, 1, 2, 3, 5];
let values = vec![0, 1, 2, 3, 4];
let matrix = CscMatrix::try_from_csc_data(6, 3, offsets, indices, values);
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assert_eq!(
matrix.unwrap_err().kind(),
&SparseFormatErrorKind::InvalidStructure
);
}
{
// Invalid first entry in offsets array
let offsets = vec![1, 2, 2, 5];
let indices = vec![0, 5, 1, 2, 3];
let values = vec![0, 1, 2, 3, 4];
let matrix = CscMatrix::try_from_csc_data(6, 3, offsets, indices, values);
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assert_eq!(
matrix.unwrap_err().kind(),
&SparseFormatErrorKind::InvalidStructure
);
}
{
// Invalid last entry in offsets array
let offsets = vec![0, 2, 2, 4];
let indices = vec![0, 5, 1, 2, 3];
let values = vec![0, 1, 2, 3, 4];
let matrix = CscMatrix::try_from_csc_data(6, 3, offsets, indices, values);
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assert_eq!(
matrix.unwrap_err().kind(),
&SparseFormatErrorKind::InvalidStructure
);
}
{
// Invalid length of offsets array
let offsets = vec![0, 2, 2];
let indices = vec![0, 5, 1, 2, 3];
let values = vec![0, 1, 2, 3, 4];
let matrix = CscMatrix::try_from_csc_data(6, 3, offsets, indices, values);
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assert_eq!(
matrix.unwrap_err().kind(),
&SparseFormatErrorKind::InvalidStructure
);
}
{
// Nonmonotonic offsets
let offsets = vec![0, 3, 2, 5];
let indices = vec![0, 1, 2, 3, 4];
let values = vec![0, 1, 2, 3, 4];
let matrix = CscMatrix::try_from_csc_data(6, 3, offsets, indices, values);
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assert_eq!(
matrix.unwrap_err().kind(),
&SparseFormatErrorKind::InvalidStructure
);
}
{
// Nonmonotonic minor indices
let offsets = vec![0, 2, 2, 5];
let indices = vec![0, 2, 3, 1, 4];
let values = vec![0, 1, 2, 3, 4];
let matrix = CscMatrix::try_from_csc_data(6, 3, offsets, indices, values);
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assert_eq!(
matrix.unwrap_err().kind(),
&SparseFormatErrorKind::InvalidStructure
);
}
{
// Minor index out of bounds
let offsets = vec![0, 2, 2, 5];
let indices = vec![0, 6, 1, 2, 3];
let values = vec![0, 1, 2, 3, 4];
let matrix = CscMatrix::try_from_csc_data(6, 3, offsets, indices, values);
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assert_eq!(
matrix.unwrap_err().kind(),
&SparseFormatErrorKind::IndexOutOfBounds
);
}
{
// Duplicate entry
let offsets = vec![0, 2, 2, 5];
let indices = vec![0, 5, 2, 2, 3];
let values = vec![0, 1, 2, 3, 4];
let matrix = CscMatrix::try_from_csc_data(6, 3, offsets, indices, values);
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assert_eq!(
matrix.unwrap_err().kind(),
&SparseFormatErrorKind::DuplicateEntry
);
}
}
#[test]
fn csc_disassemble_avoids_clone_when_owned() {
// Test that disassemble avoids cloning the sparsity pattern when it holds the sole reference
// to the pattern. We do so by checking that the pointer to the data is unchanged.
let offsets = vec![0, 2, 2, 5];
let indices = vec![0, 5, 1, 2, 3];
let values = vec![0, 1, 2, 3, 4];
let offsets_ptr = offsets.as_ptr();
let indices_ptr = indices.as_ptr();
let values_ptr = values.as_ptr();
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let matrix = CscMatrix::try_from_csc_data(6, 3, offsets, indices, values).unwrap();
let (offsets, indices, values) = matrix.disassemble();
assert_eq!(offsets.as_ptr(), offsets_ptr);
assert_eq!(indices.as_ptr(), indices_ptr);
assert_eq!(values.as_ptr(), values_ptr);
}
#[test]
fn csc_matrix_get_index() {
// TODO: Implement tests for ::get() and index()
}
#[test]
fn csc_matrix_col_iter() {
// TODO
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}
proptest! {
#[test]
fn csc_double_transpose_is_identity(csc in csc_strategy()) {
prop_assert_eq!(csc.transpose().transpose(), csc);
}
#[test]
fn csc_transpose_agrees_with_dense(csc in csc_strategy()) {
let dense_transpose = DMatrix::from(&csc).transpose();
let csc_transpose = csc.transpose();
prop_assert_eq!(dense_transpose, DMatrix::from(&csc_transpose));
prop_assert_eq!(csc.nnz(), csc_transpose.nnz());
}
#[test]
fn csc_filter(
(csc, triplet_subset)
in csc_strategy()
.prop_flat_map(|matrix| {
let triplets: Vec<_> = matrix.triplet_iter().cloned_values().collect();
let subset = subsequence(triplets, 0 ..= matrix.nnz())
.prop_map(|triplet_subset| {
let set: HashSet<_> = triplet_subset.into_iter().collect();
set
});
(Just(matrix), subset)
}))
{
// We generate a CscMatrix and a HashSet corresponding to a subset of the (i, j, v)
// values in the matrix, which we use for filtering the matrix entries.
// The resulting triplets in the filtered matrix must then be exactly equal to
// the subset.
let filtered = csc.filter(|i, j, v| triplet_subset.contains(&(i, j, *v)));
let filtered_triplets: HashSet<_> = filtered
.triplet_iter()
.cloned_values()
.collect();
prop_assert_eq!(filtered_triplets, triplet_subset);
}
#[test]
fn csc_lower_triangle_agrees_with_dense(csc in csc_strategy()) {
let csc_lower_triangle = csc.lower_triangle();
prop_assert_eq!(DMatrix::from(&csc_lower_triangle), DMatrix::from(&csc).lower_triangle());
prop_assert!(csc_lower_triangle.nnz() <= csc.nnz());
}
#[test]
fn csc_upper_triangle_agrees_with_dense(csc in csc_strategy()) {
let csc_upper_triangle = csc.upper_triangle();
prop_assert_eq!(DMatrix::from(&csc_upper_triangle), DMatrix::from(&csc).upper_triangle());
prop_assert!(csc_upper_triangle.nnz() <= csc.nnz());
}
#[test]
fn csc_diagonal_as_csc(csc in csc_strategy()) {
let d = csc.diagonal_as_csc();
let d_entries: HashSet<_> = d.triplet_iter().cloned_values().collect();
let csc_diagonal_entries: HashSet<_> = csc
.triplet_iter()
.cloned_values()
.filter(|&(i, j, _)| i == j)
.collect();
prop_assert_eq!(d_entries, csc_diagonal_entries);
}
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#[test]
fn csc_identity(n in 0 ..= 6usize) {
let csc = CscMatrix::<i32>::identity(n);
prop_assert_eq!(csc.nnz(), n);
prop_assert_eq!(DMatrix::from(&csc), DMatrix::identity(n, n));
}
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}