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mg.rs
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mod common;
use crate::common::print_results::*;
use crate::common::randdp::*;
use crate::common::timers::*;
use rayon::prelude::*;
use rayon::ThreadPoolBuilder;
use std::env;
#[cfg(class = "S")]
mod params {
pub const CLASS: char = 'S';
pub const VERIFY_VALUE: f64 = 0.5307707005734e-04;
pub const NX_DEFAULT: usize = 32;
pub const NY_DEFAULT: usize = 32;
pub const NZ_DEFAULT: usize = 32;
pub const NIT_DEFAULT: usize = 4;
pub const LM: usize = usize::ilog2(NX_DEFAULT) as usize;
pub const LT_DEFAULT: usize = LM;
pub const NDIM1: usize = LM;
pub const NDIM2: usize = LM;
pub const NDIM3: usize = LM;
}
#[cfg(class = "W")]
mod params {
pub const CLASS: char = 'W';
pub const VERIFY_VALUE: f64 = 0.6467329375339e-05;
pub const NX_DEFAULT: usize = 128;
pub const NY_DEFAULT: usize = 128;
pub const NZ_DEFAULT: usize = 128;
pub const NIT_DEFAULT: usize = 4;
pub const LM: usize = usize::ilog2(NX_DEFAULT) as usize;
pub const LT_DEFAULT: usize = LM;
pub const NDIM1: usize = LM;
pub const NDIM2: usize = LM;
pub const NDIM3: usize = LM;
}
#[cfg(class = "A")]
mod params {
pub const CLASS: char = 'A';
pub const VERIFY_VALUE: f64 = 0.2433365309069e-05;
pub const NX_DEFAULT: usize = 256;
pub const NY_DEFAULT: usize = 256;
pub const NZ_DEFAULT: usize = 256;
pub const NIT_DEFAULT: usize = 4;
pub const LM: usize = usize::ilog2(NX_DEFAULT) as usize;
pub const LT_DEFAULT: usize = LM;
pub const NDIM1: usize = LM;
pub const NDIM2: usize = LM;
pub const NDIM3: usize = LM;
}
#[cfg(class = "B")]
mod params {
pub const CLASS: char = 'B';
pub const VERIFY_VALUE: f64 = 0.1800564401355e-05;
pub const NX_DEFAULT: usize = 256;
pub const NY_DEFAULT: usize = 256;
pub const NZ_DEFAULT: usize = 256;
pub const NIT_DEFAULT: usize = 20;
pub const LM: usize = usize::ilog2(NX_DEFAULT) as usize;
pub const LT_DEFAULT: usize = LM;
pub const NDIM1: usize = LM;
pub const NDIM2: usize = LM;
pub const NDIM3: usize = LM;
}
#[cfg(class = "C")]
mod params {
pub const CLASS: char = 'C';
pub const VERIFY_VALUE: f64 = 0.5706732285740e-06;
pub const NX_DEFAULT: usize = 512;
pub const NY_DEFAULT: usize = 512;
pub const NZ_DEFAULT: usize = 512;
pub const NIT_DEFAULT: usize = 20;
pub const LM: usize = usize::ilog2(NX_DEFAULT) as usize;
pub const LT_DEFAULT: usize = LM;
pub const NDIM1: usize = LM;
pub const NDIM2: usize = LM;
pub const NDIM3: usize = LM;
}
#[cfg(class = "D")]
mod params {
pub const CLASS: char = 'D';
pub const VERIFY_VALUE: f64 = 0.1583275060440e-09;
pub const NX_DEFAULT: usize = 1024;
pub const NY_DEFAULT: usize = 1024;
pub const NZ_DEFAULT: usize = 1024;
pub const NIT_DEFAULT: usize = 50;
pub const LM: usize = usize::ilog2(NX_DEFAULT) as usize;
pub const LT_DEFAULT: usize = LM;
pub const NDIM1: usize = LM;
pub const NDIM2: usize = LM;
pub const NDIM3: usize = LM;
}
#[cfg(class = "E")]
mod params {
pub const CLASS: char = 'E';
pub const VERIFY_VALUE: f64 = 0.8157592357404e-10;
pub const NX_DEFAULT: usize = 2048;
pub const NY_DEFAULT: usize = 2048;
pub const NZ_DEFAULT: usize = 2048;
pub const NIT_DEFAULT: usize = 50;
pub const LM: usize = usize::ilog2(NX_DEFAULT) as usize;
pub const LT_DEFAULT: usize = LM;
pub const NDIM1: usize = LM;
pub const NDIM2: usize = LM;
pub const NDIM3: usize = LM;
}
#[cfg(not(any(
class = "S",
class = "W",
class = "A",
class = "B",
class = "C",
class = "D",
class = "E"
)))]
mod params {
// Never used
pub const CLASS: char = 'U';
pub const VERIFY_VALUE: f64 = 1.0;
pub const NX_DEFAULT: usize = 1;
pub const NY_DEFAULT: usize = 1;
pub const NZ_DEFAULT: usize = 1;
pub const NIT_DEFAULT: usize = 1;
pub const LM: usize = 1;
pub const LT_DEFAULT: usize = 1;
pub const NDIM1: usize = 1;
pub const NDIM2: usize = 1;
pub const NDIM3: usize = 1;
compile_error!(
"\n\n\
Must set a class at compilation time by setting RUSTFLAGS\n\
class options for MG are: {S, W, A, B, C, D, E}\n\
For example:\n\
RUSTFLAGS='--cfg class=\"A\" ' cargo build --release --bin mg\n\n\n\
"
);
}
pub struct UnsPtr(pub *mut f64);
unsafe impl Sync for UnsPtr {}
#[cfg(safe = "true")]
pub const UNSAFE: bool = false;
#[cfg(not(safe = "true"))]
pub const UNSAFE: bool = true;
#[cfg(timers = "true")]
pub const TIMERS: bool = true;
#[cfg(not(timers = "true"))]
pub const TIMERS: bool = false;
use params::*;
pub const NM: usize = 2 + (1 << LM); /* actual dimension including ghost cells for communications */
pub const NV: usize = (2 + (1 << NDIM1)) * (2 + (1 << NDIM2)) * (2 + (1 << NDIM3)); /* size of rhs array */
pub const NR: usize = ((NV + NM * NM + 5 * NM + 7 * LM + 6) / 7) * 8; /* size of residual array */
pub const MAXLEVEL: usize = LT_DEFAULT + 1; /* maximum number of levels */
pub const M: usize = NM + 1; /* set at m=1024, can handle cases up to 1024^3 case */
pub const MM: usize = 10;
pub const A: f64 = 1220703125.0; //f64::powf(5.0, 13.0);
pub const X: f64 = 314159265.0;
pub const T_INIT: usize = 0;
pub const T_BENCH: usize = 1;
pub const T_MG3P: usize = 2;
pub const T_PSINV: usize = 3;
pub const T_RESID: usize = 4;
pub const T_RESID2: usize = 5;
pub const T_RPRJ3: usize = 6;
pub const T_INTERP: usize = 7;
pub const T_NORM2: usize = 8;
pub const T_COMM3: usize = 9;
pub const T_LAST: usize = 10;
pub const DEBUG_DEFAULT: usize = 0;
const DEBUG_VEC: [usize; 8] = [DEBUG_DEFAULT; 8];
pub const EPSILON: f64 = 1.0e-8;
/* mg */
fn main() {
if let Ok(ray_num_threads_str) = env::var("RAY_NUM_THREADS") {
if let Ok(ray_num_threads) = ray_num_threads_str.parse::<usize>() {
ThreadPoolBuilder::new()
.num_threads(ray_num_threads)
.build_global()
.unwrap();
} else {
ThreadPoolBuilder::new().build_global().unwrap();
}
} else {
ThreadPoolBuilder::new().build_global().unwrap();
}
let mut ir: Vec<usize> = vec![0; MAXLEVEL + 1];
let mut u: Vec<f64> = vec![0.0; NR];
let mut v: Vec<f64> = vec![0.0; NV];
let mut r: Vec<f64> = vec![0.0; NR];
let mut _lb: usize;
let lt: usize;
/*
* -------------------------------------------------------------------------
* k is the current level. it is passed down through subroutine args
* and is not global. it is the current iteration
* -------------------------------------------------------------------------
*/
let (mut t, tinit, mops): (f64, f64, f64);
let mut a: [f64; 4] = [0.0; 4];
let mut c: [f64; 4] = [0.0; 4];
let (mut rnm2, mut rnmu): (f64, f64) = (0.0, 0.0);
let nit: usize;
let (nn, err): (f64, f64);
let verified: i8;
let mut tmax: f64;
let mut timers = Timer::new();
for i in T_INIT..T_LAST {
timers.clear(i);
}
timers.start(T_INIT);
print!(" Using compiled defaults\n");
lt = LT_DEFAULT;
nit = NIT_DEFAULT;
/*
* ---------------------------------------------------------------------
* use these for debug info:
* ---------------------------------------------------------------------
* DEBUG_VEC(0) = 1 !=> report all norms
* DEBUG_VEC(1) = 1 !=> some setup information
* DEBUG_VEC(1) = 2 !=> more setup information
* DEBUG_VEC(2) = k => at level k or below, show result of resid
* DEBUG_VEC(3) = k => at level k or below, show result of psinv
* DEBUG_VEC(4) = k => at level k or below, show result of rprj
* DEBUG_VEC(5) = k => at level k or below, show result of interp
* DEBUG_VEC(6) = 1 => (unused)
* DEBUG_VEC(7) = 1 => (unused)
* ---------------------------------------------------------------------
*/
a[0] = -8.0 / 3.0;
a[1] = 0.0;
a[2] = 1.0 / 6.0;
a[3] = 1.0 / 12.0;
if CLASS == 'A' || CLASS == 'S' || CLASS == 'W' {
/* coefficients for the s(a) smoother */
c[0] = -3.0 / 8.0;
c[1] = 1.0 / 32.0;
c[2] = -1.0 / 64.0;
c[3] = 0.0;
} else {
/* coefficients for the s(b) smoother */
c[0] = -3.0 / 17.0;
c[1] = 1.0 / 33.0;
c[2] = -1.0 / 61.0;
c[3] = 0.0;
}
_lb = 1;
let (n1, n2, n3, is1, ie1, is2, ie2, is3, ie3, nx, ny, nz, m1, m2, m3) = setup();
ir[LT_DEFAULT] = 0;
for j in (1..LT_DEFAULT).rev() {
ir[j] = ir[j + 1] + m1[j + 1] * m2[j + 1] * m3[j + 1];
}
if DEBUG_VEC[1] >= 1 {
print!(" in setup, \n");
print!(" k lt nx ny nz n1 n2 n3 is1 is2 is3 ie1 ie2 ie3\n");
print!(
"{:4}{:4}{:4}{:4}{:4}{:4}{:4}{:4}{:4}{:4}{:4}{:4}{:4}{:4}\n",
LT_DEFAULT,
LT_DEFAULT,
nx[LT_DEFAULT],
ny[LT_DEFAULT],
nz[LT_DEFAULT],
n1,
n2,
n3,
is1,
is2,
is3,
ie1,
ie2,
ie3
);
}
zero3(&mut u[..], n1, n2, n3);
zran3(
&mut v[..],
n1,
n2,
n3,
nx[lt],
ny[lt],
is1,
is2,
is3,
ie1,
ie2,
ie3,
&mut timers,
);
norm2u3(
&mut v[..],
n1,
n2,
n3,
&mut rnm2,
&mut rnmu,
nx[lt],
ny[lt],
nz[lt],
&mut timers,
);
println!("\n\n NAS Parallel Benchmarks 4.1 Parallel Rust version with Rayon - MG Benchmark");
println!(
"\n Size: {} x {} x {} (class_npb {})",
nx[lt], ny[lt], nz[lt], CLASS
);
println!(" Iterations: {:>3}\n", nit);
resid(
&mut u[..],
&v[..],
&mut r[..],
n1,
n2,
n3,
&nx[..],
&ny[..],
&nz[..],
&a[..],
LT_DEFAULT,
&mut timers,
);
norm2u3(
&mut r[..],
n1,
n2,
n3,
&mut rnm2,
&mut rnmu,
nx[lt],
ny[lt],
nz[lt],
&mut timers,
);
/*
* ---------------------------------------------------------------------
* one iteration for startup
* ---------------------------------------------------------------------
*/
mg3_p(
&mut u[..],
&mut v[..],
&mut r[..],
&a[..],
&c[..],
n1,
n2,
n3,
_lb,
&m1[..],
&m2[..],
&m3[..],
&nx[..],
&ny[..],
&nz[..],
&mut timers,
&mut ir,
);
resid(
&mut u[..],
&v[..],
&mut r[..],
n1,
n2,
n3,
&nx[..],
&ny[..],
&nz[..],
&a[..],
LT_DEFAULT,
&mut timers,
);
let (n1, n2, n3, is1, ie1, is2, ie2, is3, ie3, nx, ny, nz, m1, m2, m3) = setup();
ir[LT_DEFAULT] = 0;
for j in (1..LT_DEFAULT).rev() {
ir[j] = ir[j + 1] + m1[j + 1] * m2[j + 1] * m3[j + 1];
}
if DEBUG_VEC[1] >= 1 {
print!(" in setup, \n");
print!(" k lt nx ny nz n1 n2 n3 is1 is2 is3 ie1 ie2 ie3\n");
print!(
"{:4}{:4}{:4}{:4}{:4}{:4}{:4}{:4}{:4}{:4}{:4}{:4}{:4}{:4}\n",
LT_DEFAULT,
LT_DEFAULT,
nx[LT_DEFAULT],
ny[LT_DEFAULT],
nz[LT_DEFAULT],
n1,
n2,
n3,
is1,
is2,
is3,
ie1,
ie2,
ie3
);
}
zero3(&mut u[..], n1, n2, n3);
zran3(
&mut v[..],
n1,
n2,
n3,
nx[lt],
ny[lt],
is1,
is2,
is3,
ie1,
ie2,
ie3,
&mut timers,
);
timers.stop(T_INIT);
tinit = timers.read(T_INIT).as_secs_f64();
print!(" Initialization time: {:>15.3} seconds\n", tinit);
for i in T_BENCH..T_LAST {
timers.clear(i);
}
timers.start(T_BENCH);
if TIMERS {
timers.start(T_RESID2);
}
resid(
&mut u[..],
&v[..],
&mut r[..],
n1,
n2,
n3,
&nx[..],
&ny[..],
&nz[..],
&a[..],
LT_DEFAULT,
&mut timers,
);
if TIMERS {
timers.stop(T_RESID2);
}
norm2u3(
&mut r[..],
n1,
n2,
n3,
&mut rnm2,
&mut rnmu,
nx[lt],
ny[lt],
nz[lt],
&mut timers,
);
for it in 1..nit + 1 {
if it == 1 || it == nit || it % 5 == 0 {
print!(" iter {:>3}\n", it);
}
if TIMERS {
timers.start(T_MG3P);
}
mg3_p(
&mut u[..],
&mut v[..],
&mut r[..],
&a[..],
&c[..],
n1,
n2,
n3,
_lb,
&m1[..],
&m2[..],
&m3[..],
&nx[..],
&ny[..],
&nz[..],
&mut timers,
&mut ir,
);
if TIMERS {
timers.stop(T_MG3P);
}
if TIMERS {
timers.start(T_RESID2);
}
resid(
&mut u[..],
&v[..],
&mut r[..],
n1,
n2,
n3,
&nx[..],
&ny[..],
&nz[..],
&a[..],
LT_DEFAULT,
&mut timers,
);
if TIMERS {
timers.stop(T_RESID2);
}
}
norm2u3(
&mut r[..],
n1,
n2,
n3,
&mut rnm2,
&mut rnmu,
nx[lt],
ny[lt],
nz[lt],
&mut timers,
);
timers.stop(T_BENCH);
t = timers.read(T_BENCH).as_secs_f64();
print!(" Benchmark completed\n");
if CLASS != 'U' {
err = (rnm2 - VERIFY_VALUE).abs() / VERIFY_VALUE;
if err <= EPSILON {
verified = 1;
print!(" VERIFICATION SUCCESSFUL\n");
print!(" L2 Norm is {:>20.13e}\n", rnm2);
print!(" Error is {:>20.13e}\n", err);
} else {
verified = 0;
print!(" VERIFICATION FAILED\n");
print!(" L2 Norm is {:>20.13e}\n", rnm2);
print!(" The correct L2 Norm is {:>20.13e}\n", VERIFY_VALUE);
}
} else {
verified = 0;
print!(" Problem size unknown\n");
print!(" NO VERIFICATION PERFORMED\n");
}
nn = (nx[lt] * ny[lt] * nz[lt]) as f64;
if t != 0.0 {
mops = 58.0 * nit as f64 * nn * 1.0e-6 / t;
} else {
mops = 0.0;
}
let info = PrintInfo {
name: String::from("MG"),
class: CLASS.to_string(),
size: (nx[LT_DEFAULT], ny[LT_DEFAULT], nz[LT_DEFAULT]),
num_iter: nit as i32,
time: t,
mops,
operation: String::from("Floating point"),
verified,
num_threads: rayon::current_num_threads() as u32,
//uns: UNSAFE
};
printer(info);
/*
* ---------------------------------------------------------------------
* more timers
* ---------------------------------------------------------------------
*/
if TIMERS {
let mut t_names: Vec<String> = vec![String::new(); T_LAST];
t_names[T_INIT] = "init".to_string();
t_names[T_BENCH] = "benchmk".to_string();
t_names[T_MG3P] = "mg3P".to_string();
t_names[T_PSINV] = "psinv".to_string();
t_names[T_RESID] = "resid".to_string();
t_names[T_RPRJ3] = "rprj3".to_string();
t_names[T_INTERP] = "interp".to_string();
t_names[T_NORM2] = "norm2".to_string();
t_names[T_COMM3] = "comm3".to_string();
tmax = timers.read(T_BENCH).as_secs_f64();
if tmax == 0.0 {
tmax = 1.0;
}
print!(" SECTION Time (secs)\n");
for i in T_BENCH..T_LAST {
t = timers.read(i).as_secs_f64();
if i == T_RESID2 {
t = timers.read(T_RESID).as_secs_f64() - t;
print!(
" --> mg-resid:{:>9.3} ({:>6.2}%)\n",
t,
t * 100.0 / tmax
);
} else {
print!(
" {:<8}:{:>9.3} ({:>6.2}%)\n",
t_names[i],
t,
t * 100.0 / tmax
);
}
}
}
}
/*
* ---------------------------------------------------------------------
* bubble does a bubble sort in direction dir
* ---------------------------------------------------------------------
*/
fn bubble(
ten: &mut [[f64; MM]; 2],
j1: &mut [[usize; MM]; 2],
j2: &mut [[usize; MM]; 2],
j3: &mut [[usize; MM]; 2],
m: usize,
ind: usize,
) {
let mut temp: f64;
let mut j_temp: usize;
if ind == 1 {
for i in 0..m - 1 {
if ten[ind][i] > ten[ind][i + 1] {
temp = ten[ind][i + 1];
ten[ind][i + 1] = ten[ind][i];
ten[ind][i] = temp;
j_temp = j1[ind][i + 1];
j1[ind][i + 1] = j1[ind][i];
j1[ind][i] = j_temp;
j_temp = j2[ind][i + 1];
j2[ind][i + 1] = j2[ind][i];
j2[ind][i] = j_temp;
j_temp = j3[ind][i + 1];
j3[ind][i + 1] = j3[ind][i];
j3[ind][i] = j_temp;
} else {
return;
}
}
} else {
for i in 0..m - 1 {
if ten[ind][i] < ten[ind][i + 1] {
temp = ten[ind][i + 1];
ten[ind][i + 1] = ten[ind][i];
ten[ind][i] = temp;
j_temp = j1[ind][i + 1];
j1[ind][i + 1] = j1[ind][i];
j1[ind][i] = j_temp;
j_temp = j2[ind][i + 1];
j2[ind][i + 1] = j2[ind][i];
j2[ind][i] = j_temp;
j_temp = j3[ind][i + 1];
j3[ind][i + 1] = j3[ind][i];
j3[ind][i] = j_temp;
} else {
return;
}
}
}
}
/*
* ---------------------------------------------------------------------
* comm3 organizes the communication on all borders
* ---------------------------------------------------------------------
*/
fn comm3(u: &mut [f64], n1: usize, n2: usize, n3: usize, timers: &mut Timer) {
if TIMERS {
timers.start(T_COMM3);
}
/* axis = 1 */
let ptr = UnsPtr(u.as_mut_ptr());
(1..n3 - 1).into_par_iter().for_each(|i3| {
let u = unsafe { &mut std::slice::from_raw_parts_mut((&ptr).0, NR)[..] };
/* axis = 1 */
for i2 in 1..n2 - 1 {
u[(i3 * n2 + i2) * n1] = u[(i3 * n2 + i2) * n1 + n1 - 2];
u[(i3 * n2 + i2) * n1 + n1 - 1] = u[(i3 * n2 + i2) * n1 + 1];
}
/* axis = 2 */
for i1 in 0..n1 {
u[i3 * n2 * n1 + i1] = u[(i3 * n2 + (n2 - 2)) * n1 + i1];
u[(i3 * n2 + (n2 - 1)) * n1 + i1] = u[i3 * n2 * n1 + n1 + i1];
}
});
/* axis = 3 */
(0..n2).into_par_iter().for_each(|i2| {
let u = unsafe { &mut std::slice::from_raw_parts_mut((&ptr).0, NR)[..] };
for i1 in 0..n1 {
u[i2 * n1 + i1] = u[((n3 - 2) * n2 + i2) * n1 + i1];
u[((n3 - 1) * n2 + i2) * n1 + i1] = u[(n2 + i2) * n1 + i1];
}
});
if TIMERS {
timers.stop(T_COMM3);
}
}
/*
* --------------------------------------------------------------------
* interp adds the trilinear interpolation of the correction
* from the coarser grid to the current approximation: u = u + Qu'
*
* observe that this implementation costs 16A + 4M, where
* A and M denote the costs of addition and multiplication.
* note that this vectorizes, and is also fine for cache
* based machines. vector machines may get slightly better
* performance however, with 8 separate "do i1" loops, rather than 4.
* --------------------------------------------------------------------
*/
fn interp(
irj: usize,
irk: usize,
mm1: usize,
mm2: usize,
mm3: usize,
u: &mut [f64],
n1: usize,
n2: usize,
n3: usize,
nx: &[usize],
ny: &[usize],
nz: &[usize],
k: usize,
timers: &mut Timer,
) {
let (d1, d2, d3, t1, t2, t3): (usize, usize, usize, usize, usize, usize);
/*
* --------------------------------------------------------------------
* note that m = 1037 in globals.h but for this only need to be
* 535 to handle up to 1024^3
* integer m
* parameter( m=535 )
* --------------------------------------------------------------------
*/
if TIMERS {
timers.start(T_INTERP);
}
let ptr = UnsPtr(u.as_mut_ptr());
if n1 != 3 && n2 != 3 && n3 != 3 {
(0..mm3 - 1).into_par_iter().for_each(|i3| {
let u = unsafe { &mut std::slice::from_raw_parts_mut((&ptr).0, NR)[..] };
let mut z1: [f64; M] = [0.0; M];
let mut z2: [f64; M] = [0.0; M];
let mut z3: [f64; M] = [0.0; M];
for i2 in 0..mm2 - 1 {
if UNSAFE {
unsafe {
for i1 in 0..mm1 {
*z1.get_unchecked_mut(i1) = *u
.get_unchecked((i3 * mm2 + (i2 + 1)) * mm1 + i1 + irj)
+ *u.get_unchecked((i3 * mm2 + i2) * mm1 + i1 + irj);
*z2.get_unchecked_mut(i1) = *u
.get_unchecked(((i3 + 1) * mm2 + i2) * mm1 + i1 + irj)
+ *u.get_unchecked((i3 * mm2 + i2) * mm1 + i1 + irj);
*z3.get_unchecked_mut(i1) = *u
.get_unchecked(((i3 + 1) * mm2 + (i2 + 1)) * mm1 + i1 + irj)
+ *u.get_unchecked(((i3 + 1) * mm2 + i2) * mm1 + i1 + irj)
+ *z1.get_unchecked(i1);
}
for i1 in 0..mm1 - 1 {
*u.get_unchecked_mut(
((i3 << 1) * n2 + (i2 << 1)) * n1 + (i1 << 1) + irk,
) += *u.get_unchecked((i3 * mm2 + i2) * mm1 + i1 + irj);
*u.get_unchecked_mut(
((i3 << 1) * n2 + (i2 << 1)) * n1 + (i1 << 1) + 1 + irk,
) += 0.5
* (*u.get_unchecked((i3 * mm2 + i2) * mm1 + i1 + 1 + irj)
+ *u.get_unchecked((i3 * mm2 + i2) * mm1 + i1 + irj));
}
for i1 in 0..mm1 - 1 {
*u.get_unchecked_mut(
((i3 << 1) * n2 + ((i2 << 1) + 1)) * n1 + (i1 << 1) + irk,
) += 0.5 * *z1.get_unchecked(i1);
*u.get_unchecked_mut(
((i3 << 1) * n2 + ((i2 << 1) + 1)) * n1 + ((i1 << 1) + 1) + irk,
) += 0.25 * (*z1.get_unchecked(i1) + *z1.get_unchecked(i1 + 1));
}
for i1 in 0..mm1 - 1 {
*u.get_unchecked_mut(
(((i3 << 1) + 1) * n2 + (i2 << 1)) * n1 + (i1 << 1) + irk,
) += 0.5 * *z2.get_unchecked(i1);
*u.get_unchecked_mut(
(((i3 << 1) + 1) * n2 + (i2 << 1)) * n1 + ((i1 << 1) + 1) + irk,
) += 0.25 * (*z2.get_unchecked(i1) + *z2.get_unchecked(i1 + 1));
}
for i1 in 0..mm1 - 1 {
*u.get_unchecked_mut(
(((i3 << 1) + 1) * n2 + ((i2 << 1) + 1)) * n1 + (i1 << 1) + irk,
) += 0.25 * *z3.get_unchecked(i1);
*u.get_unchecked_mut(
(((i3 << 1) + 1) * n2 + ((i2 << 1) + 1)) * n1
+ ((i1 << 1) + 1)
+ irk,
) += 0.125 * (*z3.get_unchecked(i1) + *z3.get_unchecked(i1 + 1));
}
}
} else {
for i1 in 0..mm1 {
z1[i1] = u[(i3 * mm2 + (i2 + 1)) * mm1 + i1 + irj]
+ u[(i3 * mm2 + i2) * mm1 + i1 + irj];
z2[i1] = u[((i3 + 1) * mm2 + i2) * mm1 + i1 + irj]
+ u[(i3 * mm2 + i2) * mm1 + i1 + irj];
z3[i1] = u[((i3 + 1) * mm2 + (i2 + 1)) * mm1 + i1 + irj]
+ u[((i3 + 1) * mm2 + i2) * mm1 + i1 + irj]
+ z1[i1];
}
for i1 in 0..mm1 - 1 {
u[((i3 << 1) * n2 + (i2 << 1)) * n1 + (i1 << 1) + irk] +=
u[(i3 * mm2 + i2) * mm1 + i1 + irj];
u[((i3 << 1) * n2 + (i2 << 1)) * n1 + (i1 << 1) + 1 + irk] += 0.5
* (u[(i3 * mm2 + i2) * mm1 + i1 + 1 + irj]
+ u[(i3 * mm2 + i2) * mm1 + i1 + irj]);
}
for i1 in 0..mm1 - 1 {
u[((i3 << 1) * n2 + ((i2 << 1) + 1)) * n1 + (i1 << 1) + irk] +=
0.5 * z1[i1];
u[((i3 << 1) * n2 + ((i2 << 1) + 1)) * n1 + ((i1 << 1) + 1) + irk] +=
0.25 * (z1[i1] + z1[i1 + 1]);
}
for i1 in 0..mm1 - 1 {
u[(((i3 << 1) + 1) * n2 + (i2 << 1)) * n1 + (i1 << 1) + irk] +=
0.5 * z2[i1];
u[(((i3 << 1) + 1) * n2 + (i2 << 1)) * n1 + ((i1 << 1) + 1) + irk] +=
0.25 * (z2[i1] + z2[i1 + 1]);
}
for i1 in 0..mm1 - 1 {
u[(((i3 << 1) + 1) * n2 + ((i2 << 1) + 1)) * n1 + (i1 << 1) + irk] +=
0.25 * z3[i1];
u[(((i3 << 1) + 1) * n2 + ((i2 << 1) + 1)) * n1 + ((i1 << 1) + 1) + irk] +=
0.125 * (z3[i1] + z3[i1 + 1]);
}
}
}
});
} else {
if n1 == 3 {
d1 = 2;
t1 = 1;
} else {
d1 = 1;
t1 = 0;
}
if n2 == 3 {
d2 = 2;
t2 = 1;
} else {
d2 = 1;
t2 = 0;
}
if n3 == 3 {
d3 = 2;
t3 = 1;
} else {
d3 = 1;
t3 = 0;
}
(d3..mm3).into_par_iter().for_each(|i3| {
let u = unsafe { &mut std::slice::from_raw_parts_mut((&ptr).0, NR)[..] };
if UNSAFE {
unsafe {
for i2 in d2..mm2 {
for i1 in d1..mm1 {
*u.get_unchecked_mut(
(((i3 << 1) - d3 - 1) * n2 + ((i2 << 1) - d2 - 1)) * n1 + (i1 << 1)
- d1
- 1
+ irk,
) += *u.get_unchecked(((i3 - 1) * mm2 + (i2 - 1)) * mm1 + i1 - 1 + irj);
}
for i1 in 1..mm1 {
*u.get_unchecked_mut(
(((i3 << 1) - d3 - 1) * n2 + ((i2 << 1) - d2 - 1)) * n1 + (i1 << 1)
- t1
- 1
+ irk,
) += 0.5
* (*u.get_unchecked(((i3 - 1) * mm2 + (i2 - 1)) * mm1 + i1 + irj)
+ *u.get_unchecked(
((i3 - 1) * mm2 + (i2 - 1)) * mm1 + i1 - 1 + irj,
));
}
}
for i2 in 1..mm2 {
for i1 in d1..mm1 {
*u.get_unchecked_mut(
(((i3 << 1) - d3 - 1) * n2 + ((i2 << 1) - t2 - 1)) * n1 + (i1 << 1)
- d1
- 1
+ irk,
) += 0.5
* (*u.get_unchecked(((i3 - 1) * mm2 + i2) * mm1 + i1 - 1 + irj)
+ *u.get_unchecked(
((i3 - 1) * mm2 + (i2 - 1)) * mm1 + i1 - 1 + irj,
));
}
for i1 in 1..mm1 {
*u.get_unchecked_mut(
(((i3 << 1) - d3 - 1) * n2 + ((i2 << 1) - t2 - 1)) * n1 + (i1 << 1)
- t1
- 1
+ irk,
) += 0.25
* (*u.get_unchecked(((i3 - 1) * mm2 + i2) * mm1 + i1 + irj)
+ *u.get_unchecked(
((i3 - 1) * mm2 + (i2 - 1)) * mm1 + i1 + irj,
)
+ *u.get_unchecked(((i3 - 1) * mm2 + i2) * mm1 + i1 - 1 + irj)
+ *u.get_unchecked(
((i3 - 1) * mm2 + (i2 - 1)) * mm1 + i1 - 1 + irj,
));
}
}
}
} else {
for i2 in d2..mm2 {
for i1 in d1..mm1 {
u[(((i3 << 1) - d3 - 1) * n2 + ((i2 << 1) - d2 - 1)) * n1 + (i1 << 1)
- d1
- 1
+ irk] += u[((i3 - 1) * mm2 + (i2 - 1)) * mm1 + i1 - 1 + irj];
}
for i1 in 1..mm1 {
u[(((i3 << 1) - d3 - 1) * n2 + ((i2 << 1) - d2 - 1)) * n1 + (i1 << 1)
- t1
- 1
+ irk] += 0.5
* (u[((i3 - 1) * mm2 + (i2 - 1)) * mm1 + i1 + irj]
+ u[((i3 - 1) * mm2 + (i2 - 1)) * mm1 + i1 - 1 + irj]);
}
}
for i2 in 1..mm2 {
for i1 in d1..mm1 {
u[(((i3 << 1) - d3 - 1) * n2 + ((i2 << 1) - t2 - 1)) * n1 + (i1 << 1)
- d1
- 1
+ irk] += 0.5
* (u[((i3 - 1) * mm2 + i2) * mm1 + i1 - 1 + irj]
+ u[((i3 - 1) * mm2 + (i2 - 1)) * mm1 + i1 - 1 + irj]);
}
for i1 in 1..mm1 {
u[(((i3 << 1) - d3 - 1) * n2 + ((i2 << 1) - t2 - 1)) * n1 + (i1 << 1)
- t1
- 1
+ irk] += 0.25
* (u[((i3 - 1) * mm2 + i2) * mm1 + i1 + irj]
+ u[((i3 - 1) * mm2 + (i2 - 1)) * mm1 + i1 + irj]
+ u[((i3 - 1) * mm2 + i2) * mm1 + i1 - 1 + irj]
+ u[((i3 - 1) * mm2 + (i2 - 1)) * mm1 + i1 - 1 + irj]);
}
}
}
});
(1..mm3).into_par_iter().for_each(|i3| {