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SummationByParts
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This commit is contained in:
Magnus Ulimoen 2020-06-15 21:21:00 +02:00
parent 1e84e2ddf0
commit 459581a3c9
7 changed files with 47 additions and 89 deletions
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2
sbp/src/operators/traditional4.rs
View File

@ -51,7 +51,7 @@ impl SbpOperator1d for SBP4 {
}
#[cfg(feature = "sparse")]
fn h_matrix(&self, n: usize) -> sprs::CsMat<Float> {
super::h_matrix(Self::DIAG, n, self.is_h2())
super::h_matrix(Self::HBLOCK, n, self.is_h2())
}
}

2
sbp/src/operators/traditional8.rs
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@ -55,7 +55,7 @@ impl SbpOperator1d for SBP8 {
}
#[cfg(feature = "sparse")]
fn h_matrix(&self, n: usize) -> sprs::CsMat<Float> {
super::h_matrix(Self::DIAG, n, self.is_h2())
super::h_matrix(Self::HBLOCK, n, self.is_h2())
}
}

4
sbp/src/operators/upwind4.rs
View File

@ -164,7 +164,7 @@ diff_simd_col_7_47!(diss_simd_col, Upwind4::DISS_BLOCK, Upwind4::DISS_DIAG, true
impl Upwind4 {
#[rustfmt::skip]
const HBLOCK: &'static [Float] = &[
pub const HBLOCK: &'static [Float] = &[
49.0 / 144.0, 61.0 / 48.0, 41.0 / 48.0, 149.0 / 144.0
];
#[rustfmt::skip]
@ -219,7 +219,7 @@ impl SbpOperator1d for Upwind4 {
}
#[cfg(feature = "sparse")]
fn h_matrix(&self, n: usize) -> sprs::CsMat<Float> {
super::h_matrix(Self::DIAG, n, self.is_h2())
super::h_matrix(Self::HBLOCK, n, self.is_h2())
}
}

2
sbp/src/operators/upwind4h2.rs
View File

@ -69,7 +69,7 @@ impl SbpOperator1d for Upwind4h2 {
}
#[cfg(feature = "sparse")]
fn h_matrix(&self, n: usize) -> sprs::CsMat<Float> {
super::h_matrix(Self::DIAG, n, self.is_h2())
super::h_matrix(Self::HBLOCK, n, self.is_h2())
}
}

2
sbp/src/operators/upwind9.rs
View File

@ -74,7 +74,7 @@ impl SbpOperator1d for Upwind9 {
}
#[cfg(feature = "sparse")]
fn h_matrix(&self, n: usize) -> sprs::CsMat<Float> {
super::h_matrix(Self::DIAG, n, self.is_h2())
super::h_matrix(Self::HBLOCK, n, self.is_h2())
}
}

2
sbp/src/operators/upwind9h2.rs
View File

@ -77,7 +77,7 @@ impl SbpOperator1d for Upwind9h2 {
}
#[cfg(feature = "sparse")]
fn h_matrix(&self, n: usize) -> sprs::CsMat<Float> {
super::h_matrix(Self::DIAG, n, self.is_h2())
super::h_matrix(Self::HBLOCK, n, self.is_h2())
}
}

122
sbp/src/utils/outer_product.rs
View File

@ -10,8 +10,9 @@ pub fn sparse_sparse_outer_product<
A: sprs::CsMatViewI<N, I, Iptr>,
B: sprs::CsMatViewI<N, I, Iptr>,
) -> sprs::CsMatI<N, I, Iptr> {
use sprs::{CSC, CSR};
match (A.storage(), B.storage()) {
(sprs::CompressedStorage::CSR, sprs::CompressedStorage::CSR) => {
(CSR, CSR) => {
let nnz = A.nnz() * B.nnz();
let a_shape = A.shape();
let b_shape = B.shape();
@ -32,7 +33,7 @@ pub fn sparse_sparse_outer_product<
debug_assert_eq!(mat.nnz(), nnz);
mat
}
(sprs::CompressedStorage::CSC, sprs::CompressedStorage::CSC) => {
(CSC, CSC) => {
let nnz = A.nnz() * B.nnz();
let a_shape = A.shape();
let b_shape = B.shape();
@ -54,7 +55,7 @@ pub fn sparse_sparse_outer_product<
debug_assert_eq!(mat.nnz(), nnz);
mat
}
(sprs::CompressedStorage::CSR, sprs::CompressedStorage::CSC) => {
(CSR, CSC) => {
let nnz = A.nnz() * B.nnz();
let a_shape = A.shape();
let b_shape = B.shape();
@ -75,7 +76,7 @@ pub fn sparse_sparse_outer_product<
debug_assert_eq!(mat.nnz(), nnz);
mat
}
(sprs::CompressedStorage::CSC, sprs::CompressedStorage::CSR) => {
(CSC, CSR) => {
let nnz = A.nnz() * B.nnz();
let a_shape = A.shape();
let b_shape = B.shape();
@ -83,10 +84,10 @@ pub fn sparse_sparse_outer_product<
let mat = sprs::CsMatI::zero(shape);
let mut mat = mat.to_csc();
for (aj, a) in A.outer_iterator().enumerate() {
for (bi, b) in B.outer_iterator().enumerate() {
for (ai, &a) in a.iter() {
for (bj, &b) in b.iter() {
for (ai, a) in A.outer_iterator().enumerate() {
for (bj, b) in B.outer_iterator().enumerate() {
for (aj, &a) in a.iter() {
for (bi, &b) in b.iter() {
let i = ai * b_shape.1 + bi;
let j = aj * b_shape.0 + bj;
mat.insert(j, i, a * b)
@ -116,82 +117,39 @@ fn test_outer_product() {
b.add_triplet(2, 1, -3);
let b = b.to_csr();
let c = sparse_sparse_outer_product(a.view(), b.view());
for (&n, (j, i)) in c.iter() {
match (j, i) {
(0, 2) => assert_eq!(n, 2),
(0, 4) => assert_eq!(n, 3),
(1, 2) => assert_eq!(n, 4),
(1, 4) => assert_eq!(n, 6),
(2, 2) => assert_eq!(n, 6),
(2, 3) => assert_eq!(n, -6),
(2, 4) => assert_eq!(n, 9),
(2, 5) => assert_eq!(n, -9),
(3, 0) => assert_eq!(n, 6),
(3, 4) => assert_eq!(n, 8),
(4, 0) => assert_eq!(n, 12),
(4, 4) => assert_eq!(n, 16),
(5, 0) => assert_eq!(n, 18),
(5, 1) => assert_eq!(n, -18),
(5, 4) => assert_eq!(n, 24),
(5, 5) => assert_eq!(n, -24),
_ => panic!("index ({},{}) should be 0, found {}", j, i, n),
let check = |c: sprs::CsMatView<i32>| {
for (&n, (j, i)) in c.iter() {
match (j, i) {
(0, 2) => assert_eq!(n, 2),
(0, 4) => assert_eq!(n, 3),
(1, 2) => assert_eq!(n, 4),
(1, 4) => assert_eq!(n, 6),
(2, 2) => assert_eq!(n, 6),
(2, 3) => assert_eq!(n, -6),
(2, 4) => assert_eq!(n, 9),
(2, 5) => assert_eq!(n, -9),
(3, 0) => assert_eq!(n, 6),
(3, 4) => assert_eq!(n, 8),
(4, 0) => assert_eq!(n, 12),
(4, 4) => assert_eq!(n, 16),
(5, 0) => assert_eq!(n, 18),
(5, 1) => assert_eq!(n, -18),
(5, 4) => assert_eq!(n, 24),
(5, 5) => assert_eq!(n, -24),
_ => panic!("index ({},{}) should be 0, found {}", j, i, n),
}
}
}
}
};
#[test]
fn test_outer_product_csc() {
let mut a = sprs::TriMat::new((2, 3));
a.add_triplet(0, 1, 2);
a.add_triplet(0, 2, 3);
a.add_triplet(1, 0, 6);
a.add_triplet(1, 2, 8);
let a = a.to_csc();
let mut b = sprs::TriMat::new((3, 2));
b.add_triplet(0, 0, 1);
b.add_triplet(1, 0, 2);
b.add_triplet(2, 0, 3);
b.add_triplet(2, 1, -3);
let c = sparse_sparse_outer_product(a.view(), b.view());
check(c.view());
let b = b.to_csc();
let c = sparse_sparse_outer_product(a.view(), b.view());
for (&n, (j, i)) in c.iter() {
match (j, i) {
(0, 2) => assert_eq!(n, 2),
(0, 4) => assert_eq!(n, 3),
(1, 2) => assert_eq!(n, 4),
(1, 4) => assert_eq!(n, 6),
(2, 2) => assert_eq!(n, 6),
(2, 3) => assert_eq!(n, -6),
(2, 4) => assert_eq!(n, 9),
(2, 5) => assert_eq!(n, -9),
(3, 0) => assert_eq!(n, 6),
(3, 4) => assert_eq!(n, 8),
(4, 0) => assert_eq!(n, 12),
(4, 4) => assert_eq!(n, 16),
(5, 0) => assert_eq!(n, 18),
(5, 1) => assert_eq!(n, -18),
(5, 4) => assert_eq!(n, 24),
(5, 5) => assert_eq!(n, -24),
_ => panic!("index ({},{}) should be 0, found {}", j, i, n),
}
}
}
#[test]
fn test_outer_product_2() {
let mut e0 = sprs::CsMat::zero((10, 1));
e0.insert(0, 0, 1);
let mut en = sprs::CsMat::zero((11, 1));
en.insert(10, 0, 1);
let v = sparse_sparse_outer_product(e0.view(), en.transpose_view());
for (&val, (j, i)) in v.iter() {
match (j, i) {
(0, 10) => assert_eq!(val, 1),
_ => panic!("Unexpected element: ({},{}): {}", j, i, val),
}
}
check(c.view());
let a = a.to_csc();
let c = sparse_sparse_outer_product(a.view(), b.view());
check(c.view());
let b = b.to_csr();
let c = sparse_sparse_outer_product(a.view(), b.view());
check(c.view());
}