matrixmultiply 0.3.10

General matrix multiplication for f32 and f64 matrices. Operates on matrices with general layout (they can use arbitrary row and column stride). Detects and uses AVX or SSE2 on x86 platforms transparently for higher performance. Uses a microkernel strategy, so that the implementation is easy to parallelize and optimize. Supports multithreading.
Documentation
///
/// Threading support functions and statics

#[cfg(feature="threading")]
use std::cmp::min;
#[cfg(feature="threading")]
use std::str::FromStr;
#[cfg(feature="threading")]
use once_cell::sync::Lazy;

#[cfg(feature="threading")]
pub use thread_tree::ThreadTree as ThreadPool;
#[cfg(feature="threading")]
pub use thread_tree::ThreadTreeCtx as ThreadPoolCtx;

use crate::kernel::GemmKernel;
use crate::util::RangeChunk;

/// Dummy threadpool
#[cfg(not(feature="threading"))]
pub(crate) struct ThreadPool;

#[cfg(not(feature="threading"))]
pub(crate) type ThreadPoolCtx<'a> = &'a ();

#[cfg(not(feature="threading"))]
impl ThreadPool {
    /// Get top dummy thread pool context
    pub(crate) fn top(&self) -> ThreadPoolCtx<'_> { &() }
}

pub(crate) fn get_thread_pool<'a>() -> (usize, ThreadPoolCtx<'a>) {
    let reg = &*REGISTRY;
    (reg.nthreads, reg.thread_pool().top())
}

struct Registry {
    nthreads: usize,
    #[cfg(feature="threading")]
    thread_pool: Box<ThreadPool>,
}

impl Registry {
    fn thread_pool(&self) -> &ThreadPool {
        #[cfg(feature="threading")]
        return &*REGISTRY.thread_pool;
        #[cfg(not(feature="threading"))]
        return &ThreadPool;
    }
}

#[cfg(not(feature="threading"))]
const REGISTRY: &'static Registry = &Registry { nthreads: 1 };

#[cfg(feature="threading")]
/// Maximum (usefully) supported threads at the moment
const MAX_THREADS: usize = 4;

#[cfg(feature="threading")]
static REGISTRY: Lazy<Registry> = Lazy::new(|| {
    let var = ::std::env::var("MATMUL_NUM_THREADS").ok();
    let threads = match var {
        Some(s) if !s.is_empty() => {
            if let Ok(nt) = usize::from_str(&s) {
                nt
            } else {
                eprintln!("Failed to parse MATMUL_NUM_THREADS");
                1
            }
        }
        _otherwise => num_cpus::get_physical(),
    };

    // Ensure threads in 1 <= threads <= MAX_THREADS
    let threads = 1.max(threads).min(MAX_THREADS);

    let tp = if threads <= 1 {
        Box::new(ThreadPool::new_level0())
    } else if threads <= 3 {
        ThreadPool::new_with_level(1)
    } else {
        ThreadPool::new_with_level(2)
    };

    Registry {
        nthreads: threads,
        thread_pool: tp,
    }
});

/// Describe how many threads we use in each loop
#[derive(Copy, Clone)]
pub(crate) struct LoopThreadConfig {
    /// Loop 3 threads
    pub(crate) loop3: u8,
    /// Loop 2 threads
    pub(crate) loop2: u8,
}

impl LoopThreadConfig {
    /// Decide how many threads to use in each loop
    pub(crate) fn new<K>(m: usize, k: usize, n: usize, max_threads: usize) -> Self
        where K: GemmKernel
    {
        let default_config = LoopThreadConfig { loop3: 1, loop2: 1 };

        #[cfg(not(feature="threading"))]
        {
            let _ = (m, k, n, max_threads); // used
            return default_config;
        }

        #[cfg(feature="threading")]
        {
            if max_threads == 1 {
                return default_config;
            }

            Self::new_impl(m, k, n, max_threads, K::mc())
        }
    }

    #[cfg(feature="threading")]
    fn new_impl(m: usize, k: usize, n: usize, max_threads: usize, kmc: usize) -> Self {
        // use a heuristic to try not to use too many threads for smaller matrices
        let size_factor = m * k + k * n;
        let thread_factor = 1 << 14;
        // pure guesswork in terms of what the default should be
        let arch_factor = if cfg!(target_arch="arm") {
            20
        } else {
            1
        };

        // At the moment only a configuration of 1, 2, or 4 threads is supported.
        //
        // Prefer to split Loop 3 if only 2 threads are available, (because it was better in a
        // square matrix benchmark).

        let matrix_max_threads = size_factor / (thread_factor / arch_factor);
        let mut max_threads = max_threads.min(matrix_max_threads);

        let loop3 = if max_threads >= 2 && m >= 3 * (kmc / 2) {
            max_threads /= 2;
            2
        } else {
            1
        };
        let loop2 = if max_threads >= 2 { 2 } else { 1 };

        LoopThreadConfig {
            loop3,
            loop2,
        }
    }

    /// Number of packing buffers for A
    #[inline(always)]
    pub(crate) fn num_pack_a(&self) -> usize { self.loop3 as usize }
}


impl RangeChunk {
    /// "Builder" method to create a RangeChunkParallel
    pub(crate) fn parallel(self, nthreads: u8, pool: ThreadPoolCtx) -> RangeChunkParallel<fn()> {
        fn nop() {}

        RangeChunkParallel {
            nthreads,
            pool,
            range: self,
            thread_local: nop,
        }
    }
}

/// Intermediate struct for building the parallel execution of a range chunk.
pub(crate) struct RangeChunkParallel<'a, G> {
    range: RangeChunk,
    nthreads: u8,
    pool: ThreadPoolCtx<'a>,
    thread_local: G,
}

impl<'a, G> RangeChunkParallel<'a, G> {
    #[cfg(feature="threading")]
    /// Set thread local setup function - called once per thread to setup thread local data.
    pub(crate) fn thread_local<G2, R>(self, func: G2) -> RangeChunkParallel<'a, G2>
        where G2: Fn(usize, usize) -> R + Sync
    {
        RangeChunkParallel {
            nthreads: self.nthreads,
            pool: self.pool,
            thread_local: func,
            range: self.range,
        }
    }

    #[cfg(not(feature="threading"))]
    /// Set thread local setup function - called once per thread to setup thread local data.
    pub(crate) fn thread_local<G2, R>(self, func: G2) -> RangeChunkParallel<'a, G2>
        where G2: FnOnce(usize, usize) -> R + Sync
    {
        RangeChunkParallel {
            nthreads: self.nthreads,
            pool: self.pool,
            thread_local: func,
            range: self.range,
        }
    }
}

#[cfg(not(feature="threading"))]
impl<G, R> RangeChunkParallel<'_, G>
    where G: FnOnce(usize, usize) -> R + Sync,
{
    pub(crate) fn for_each<F>(self, for_each: F)
        where F: Fn(ThreadPoolCtx<'_>, &mut R, usize, usize) + Sync,
    {
        let mut local = (self.thread_local)(0, 1);
        for (ln, chunk_size) in self.range {
            for_each(self.pool, &mut local, ln, chunk_size)
        }
    }
}


#[cfg(feature="threading")]
impl<G, R> RangeChunkParallel<'_, G>
    where G: Fn(usize, usize) -> R + Sync,
{
    /// Execute loop iterations (parallel if enabled) using the given closure.
    ///
    /// The closure gets the following arguments for each iteration:
    ///
    /// - Thread pool context (used for child threads)
    /// - Mutable reference to thread local data
    /// - index of chunk (like RangeChunk)
    /// - size of chunk (like RangeChunk)
    pub(crate) fn for_each<F>(self, for_each: F)
        where F: Fn(ThreadPoolCtx<'_>, &mut R, usize, usize) + Sync,
    {
        fn inner<F, G, R>(range: RangeChunk, index: usize, nthreads: usize, pool: ThreadPoolCtx<'_>,
                          thread_local: G, for_each: F)
            where G: Fn(usize, usize) -> R + Sync,
                  F: Fn(ThreadPoolCtx<'_>, &mut R, usize, usize) + Sync
        {
            let mut local = thread_local(index, nthreads);
            for (ln, chunk_size) in range.part(index, nthreads) {
                for_each(pool, &mut local, ln, chunk_size)
            }
        }

        debug_assert!(self.nthreads <= 4, "this method does not support nthreads > 4, got {}",
                      self.nthreads);
        let pool = self.pool;
        let range = self.range;
        let for_each = &for_each;
        let local = &self.thread_local;
        let nthreads = min(self.nthreads as usize, 4);
        let f = move |ctx: ThreadPoolCtx<'_>, i| inner(range, i, nthreads, ctx, local, for_each);
        if nthreads >= 4 {
            pool.join4(&f);
        } else if nthreads >= 3 {
            pool.join3l(&f);
        } else if nthreads >= 2 {
            pool.join(|ctx| f(ctx, 0), |ctx| f(ctx, 1));
        } else {
            f(pool, 0)
        }
    }

}