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SummationByParts
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use simd

This commit is contained in:
Magnus Ulimoen 2019-11-09 01:29:29 +01:00
parent 1bf4753e9a
commit c30a463e83
2 changed files with 97 additions and 0 deletions
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1
Cargo.toml
View File

@ -16,6 +16,7 @@ console_error_panic_hook = { version = "0.1.6", optional = true }
wee_alloc = { version = "0.4.5", optional = true }
ndarray = { version = "0.13.0", features = ["approx"] }
approx = "0.3.2"
packed_simd = "0.3.3"
[profile.release]
opt-level = 3

96
src/operators/upwind4.rs
View File

@ -53,10 +53,106 @@ impl Upwind4 {
],
];
fn diff_simd(prev: &[f32], fut: &mut [f32]) {
use packed_simd::{f32x8, u32x8};
assert_eq!(prev.len(), fut.len());
assert!(prev.len() > 8);
let nx = prev.len();
let dx = 1.0 / (nx - 1) as f32;
let idx = 1.0 / dx;
let first_elems = unsafe { f32x8::from_slice_unaligned_unchecked(prev) };
let block = [
f32x8::new(
Self::BLOCK[0][0],
Self::BLOCK[0][1],
Self::BLOCK[0][2],
Self::BLOCK[0][3],
Self::BLOCK[0][4],
Self::BLOCK[0][5],
Self::BLOCK[0][6],
0.0,
),
f32x8::new(
Self::BLOCK[1][0],
Self::BLOCK[1][1],
Self::BLOCK[1][2],
Self::BLOCK[1][3],
Self::BLOCK[1][4],
Self::BLOCK[1][5],
Self::BLOCK[1][6],
0.0,
),
f32x8::new(
Self::BLOCK[2][0],
Self::BLOCK[2][1],
Self::BLOCK[2][2],
Self::BLOCK[2][3],
Self::BLOCK[2][4],
Self::BLOCK[2][5],
Self::BLOCK[2][6],
0.0,
),
f32x8::new(
Self::BLOCK[3][0],
Self::BLOCK[3][1],
Self::BLOCK[3][2],
Self::BLOCK[3][3],
Self::BLOCK[3][4],
Self::BLOCK[3][5],
Self::BLOCK[3][6],
0.0,
),
];
unsafe {
*fut.get_unchecked_mut(0) += idx * (block[0] * first_elems).sum();
*fut.get_unchecked_mut(1) += idx * (block[1] * first_elems).sum();
*fut.get_unchecked_mut(2) += idx * (block[2] * first_elems).sum();
*fut.get_unchecked_mut(3) += idx * (block[3] * first_elems).sum()
};
let diag = f32x8::new(
Self::DIAG[0],
Self::DIAG[1],
Self::DIAG[2],
Self::DIAG[3],
Self::DIAG[4],
Self::DIAG[5],
Self::DIAG[6],
0.0,
);
for (f, p) in fut
.iter_mut()
.skip(block.len())
.zip(
prev.windows(f32x8::lanes())
.map(f32x8::from_slice_unaligned)
.skip(1),
)
.take(nx - 2 * block.len())
{
*f += idx * (p * diag).sum();
}
let last_elems = unsafe { f32x8::from_slice_unaligned_unchecked(&prev[nx - 8..]) }
.shuffle1_dyn(u32x8::new(7, 6, 5, 4, 3, 2, 1, 0));
unsafe {
*fut.get_unchecked_mut(nx - 4) += -idx * (block[3] * last_elems).sum();
*fut.get_unchecked_mut(nx - 3) += -idx * (block[2] * last_elems).sum();
*fut.get_unchecked_mut(nx - 2) += -idx * (block[1] * last_elems).sum();
*fut.get_unchecked_mut(nx - 1) += -idx * (block[0] * last_elems).sum();
}
}
fn diff(prev: ArrayView1<f32>, mut fut: ArrayViewMut1<f32>) {
assert_eq!(prev.shape(), fut.shape());
let nx = prev.shape()[0];
if let (Some(p), Some(f)) = (prev.as_slice(), fut.as_slice_mut()) {
Self::diff_simd(p, f);
return;
}
let dx = 1.0 / (nx - 1) as f32;
let idx = 1.0 / dx;