| <!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Source of the Rust file `/root/.cargo/registry/src/github.com-1ecc6299db9ec823/matrixmultiply-0.1.15/src/gemm.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>gemm.rs - source</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceSerif4-Regular.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../FiraSans-Regular.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../FiraSans-Medium.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceCodePro-Regular.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceSerif4-Bold.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceCodePro-Semibold.ttf.woff2"><link rel="stylesheet" href="../../normalize.css"><link rel="stylesheet" href="../../rustdoc.css" id="mainThemeStyle"><link rel="stylesheet" href="../../ayu.css" disabled><link rel="stylesheet" href="../../dark.css" disabled><link rel="stylesheet" href="../../light.css" id="themeStyle"><script id="default-settings" ></script><script src="../../storage.js"></script><script defer src="../../source-script.js"></script><script defer src="../../source-files.js"></script><script defer src="../../main.js"></script><noscript><link rel="stylesheet" href="../../noscript.css"></noscript><link rel="alternate icon" type="image/png" href="../../favicon-16x16.png"><link rel="alternate icon" type="image/png" href="../../favicon-32x32.png"><link rel="icon" type="image/svg+xml" href="../../favicon.svg"></head><body class="rustdoc source"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="sidebar"><a class="sidebar-logo" href="../../matrixmultiply/index.html"><div class="logo-container"><img class="rust-logo" src="../../rust-logo.svg" alt="logo"></div></a></nav><main><div class="width-limiter"><nav class="sub"><a class="sub-logo-container" href="../../matrixmultiply/index.html"><img class="rust-logo" src="../../rust-logo.svg" alt="logo"></a><form class="search-form"><div class="search-container"><span></span><input class="search-input" name="search" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../wheel.svg"></a></div></div></form></nav><section id="main-content" class="content"><div class="example-wrap"><pre class="src-line-numbers"><span id="1">1</span> |
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| </pre><pre class="rust"><code><span class="comment">// Copyright 2016 bluss |
| // |
| // Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or |
| // http://www.apache.org/licenses/LICENSE-2.0> or the MIT license |
| // <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your |
| // option. This file may not be copied, modified, or distributed |
| // except according to those terms. |
| |
| </span><span class="kw">use </span>std::cmp::min; |
| <span class="kw">use </span>std::mem::size_of; |
| |
| <span class="kw">use </span>util::range_chunk; |
| <span class="kw">use </span>util::round_up_to; |
| |
| <span class="kw">use </span>kernel::GemmKernel; |
| <span class="kw">use </span>kernel::Element; |
| <span class="kw">use </span>sgemm_kernel; |
| <span class="kw">use </span>dgemm_kernel; |
| <span class="kw">use </span>rawpointer::PointerExt; |
| |
| <span class="doccomment">/// General matrix multiplication (f32) |
| /// |
| /// C ← α A B + β C |
| /// |
| /// + m, k, n: dimensions |
| /// + a, b, c: pointer to the first element in the matrix |
| /// + A: m by k matrix |
| /// + B: k by n matrix |
| /// + C: m by n matrix |
| /// + rs<em>x</em>: row stride of *x* |
| /// + cs<em>x</em>: col stride of *x* |
| /// |
| /// Strides for A and B may be arbitrary. Strides for C must not result in |
| /// elements that alias each other, for example they can not be zero. |
| /// |
| /// If β is zero, then C does not need to be initialized. |
| </span><span class="kw">pub unsafe fn </span>sgemm( |
| m: usize, k: usize, n: usize, |
| alpha: f32, |
| a: <span class="kw-2">*const </span>f32, rsa: isize, csa: isize, |
| b: <span class="kw-2">*const </span>f32, rsb: isize, csb: isize, |
| beta: f32, |
| c: <span class="kw-2">*mut </span>f32, rsc: isize, csc: isize) |
| { |
| gemm_loop::<sgemm_kernel::Gemm>( |
| m, k, n, |
| alpha, |
| a, rsa, csa, |
| b, rsb, csb, |
| beta, |
| c, rsc, csc) |
| } |
| |
| <span class="doccomment">/// General matrix multiplication (f64) |
| /// |
| /// C ← α A B + β C |
| /// |
| /// + m, k, n: dimensions |
| /// + a, b, c: pointer to the first element in the matrix |
| /// + A: m by k matrix |
| /// + B: k by n matrix |
| /// + C: m by n matrix |
| /// + rs<em>x</em>: row stride of *x* |
| /// + cs<em>x</em>: col stride of *x* |
| /// |
| /// Strides for A and B may be arbitrary. Strides for C must not result in |
| /// elements that alias each other, for example they can not be zero. |
| /// |
| /// If β is zero, then C does not need to be initialized. |
| </span><span class="kw">pub unsafe fn </span>dgemm( |
| m: usize, k: usize, n: usize, |
| alpha: f64, |
| a: <span class="kw-2">*const </span>f64, rsa: isize, csa: isize, |
| b: <span class="kw-2">*const </span>f64, rsb: isize, csb: isize, |
| beta: f64, |
| c: <span class="kw-2">*mut </span>f64, rsc: isize, csc: isize) |
| { |
| gemm_loop::<dgemm_kernel::Gemm>( |
| m, k, n, |
| alpha, |
| a, rsa, csa, |
| b, rsb, csb, |
| beta, |
| c, rsc, csc) |
| } |
| |
| <span class="doccomment">/// Ensure that GemmKernel parameters are supported |
| /// (alignment, microkernel size). |
| /// |
| /// This function is optimized out for a supported configuration. |
| </span><span class="attribute">#[inline(always)] |
| </span><span class="kw">fn </span>ensure_kernel_params<K>() |
| <span class="kw">where </span>K: GemmKernel |
| { |
| <span class="kw">let </span>mr = K::mr(); |
| <span class="kw">let </span>nr = K::nr(); |
| <span class="macro">assert!</span>(mr > <span class="number">0 </span>&& mr <= <span class="number">8</span>); |
| <span class="macro">assert!</span>(nr > <span class="number">0 </span>&& nr <= <span class="number">8</span>); |
| <span class="macro">assert!</span>(mr * nr * size_of::<K::Elem>() <= <span class="number">8 </span>* <span class="number">4 </span>* <span class="number">8</span>); |
| <span class="macro">assert!</span>(K::align_to() <= <span class="number">32</span>); |
| <span class="comment">// one row/col of the kernel is limiting the max align we can provide |
| </span><span class="kw">let </span>max_align = size_of::<K::Elem>() * min(mr, nr); |
| <span class="macro">assert!</span>(K::align_to() <= max_align); |
| } |
| |
| <span class="doccomment">/// Implement matrix multiply using packed buffers and a microkernel |
| /// strategy, the type parameter `K` is the gemm microkernel. |
| </span><span class="kw">unsafe fn </span>gemm_loop<K>( |
| m: usize, k: usize, n: usize, |
| alpha: K::Elem, |
| a: <span class="kw-2">*const </span>K::Elem, rsa: isize, csa: isize, |
| b: <span class="kw-2">*const </span>K::Elem, rsb: isize, csb: isize, |
| beta: K::Elem, |
| c: <span class="kw-2">*mut </span>K::Elem, rsc: isize, csc: isize) |
| <span class="kw">where </span>K: GemmKernel |
| { |
| <span class="macro">debug_assert!</span>(m <= <span class="number">1 </span>|| n == <span class="number">0 </span>|| rsc != <span class="number">0</span>); |
| <span class="macro">debug_assert!</span>(m == <span class="number">0 </span>|| n <= <span class="number">1 </span>|| csc != <span class="number">0</span>); |
| <span class="comment">// if A or B have no elements, compute C ← βC and return |
| </span><span class="kw">if </span>m == <span class="number">0 </span>|| k == <span class="number">0 </span>|| n == <span class="number">0 </span>{ |
| <span class="kw">for </span>i <span class="kw">in </span><span class="number">0</span>..m { |
| <span class="kw">for </span>j <span class="kw">in </span><span class="number">0</span>..n { |
| <span class="kw">let </span>cptr = c.offset(rsc * i <span class="kw">as </span>isize + csc * j <span class="kw">as </span>isize); |
| <span class="kw">if </span>beta.is_zero() { |
| <span class="kw-2">*</span>cptr = K::Elem::zero(); <span class="comment">// initialize C |
| </span>} <span class="kw">else </span>{ |
| (<span class="kw-2">*</span>cptr).scale_by(beta); |
| } |
| } |
| } |
| <span class="kw">return</span>; |
| } |
| |
| <span class="kw">let </span>knc = K::nc(); |
| <span class="kw">let </span>kkc = K::kc(); |
| <span class="kw">let </span>kmc = K::mc(); |
| ensure_kernel_params::<K>(); |
| |
| <span class="kw">let </span>(<span class="kw-2">mut </span>packv, bp_offset) = packing_vec::<K>(m, k, n); |
| <span class="kw">let </span>app = make_aligned_vec_ptr(K::align_to(), <span class="kw-2">&mut </span>packv); |
| <span class="kw">let </span>bpp = app.offset(bp_offset); |
| |
| <span class="comment">// LOOP 5: split n into nc parts |
| </span><span class="kw">for </span>(l5, nc) <span class="kw">in </span>range_chunk(n, knc) { |
| <span class="macro">dprint!</span>(<span class="string">"LOOP 5, {}, nc={}"</span>, l5, nc); |
| <span class="kw">let </span>b = b.stride_offset(csb, knc * l5); |
| <span class="kw">let </span>c = c.stride_offset(csc, knc * l5); |
| |
| <span class="comment">// LOOP 4: split k in kc parts |
| </span><span class="kw">for </span>(l4, kc) <span class="kw">in </span>range_chunk(k, kkc) { |
| <span class="macro">dprint!</span>(<span class="string">"LOOP 4, {}, kc={}"</span>, l4, kc); |
| <span class="kw">let </span>b = b.stride_offset(rsb, kkc * l4); |
| <span class="kw">let </span>a = a.stride_offset(csa, kkc * l4); |
| <span class="macro">debug!</span>(<span class="kw">for </span>elt <span class="kw">in </span><span class="kw-2">&mut </span>packv { <span class="kw-2">*</span>elt = <<span class="kw">_</span>>::one(); }); |
| |
| <span class="comment">// Pack B -> B~ |
| </span>pack(kc, nc, K::nr(), bpp, b, csb, rsb); |
| |
| <span class="comment">// LOOP 3: split m into mc parts |
| </span><span class="kw">for </span>(l3, mc) <span class="kw">in </span>range_chunk(m, kmc) { |
| <span class="macro">dprint!</span>(<span class="string">"LOOP 3, {}, mc={}"</span>, l3, mc); |
| <span class="kw">let </span>a = a.stride_offset(rsa, kmc * l3); |
| <span class="kw">let </span>c = c.stride_offset(rsc, kmc * l3); |
| |
| <span class="comment">// Pack A -> A~ |
| </span>pack(kc, mc, K::mr(), app, a, rsa, csa); |
| |
| <span class="comment">// First time writing to C, use user's `beta`, else accumulate |
| </span><span class="kw">let </span>betap = <span class="kw">if </span>l4 == <span class="number">0 </span>{ beta } <span class="kw">else </span>{ <<span class="kw">_</span>>::one() }; |
| |
| <span class="comment">// LOOP 2 and 1 |
| </span>gemm_packed::<K>(nc, kc, mc, |
| alpha, |
| app, bpp, |
| betap, |
| c, rsc, csc); |
| } |
| } |
| } |
| } |
| |
| <span class="doccomment">/// Loops 1 and 2 around the µ-kernel |
| /// |
| /// + app: packed A (A~) |
| /// + bpp: packed B (B~) |
| /// + nc: columns of packed B |
| /// + kc: columns of packed A / rows of packed B |
| /// + mc: rows of packed A |
| </span><span class="kw">unsafe fn </span>gemm_packed<K>(nc: usize, kc: usize, mc: usize, |
| alpha: K::Elem, |
| app: <span class="kw-2">*const </span>K::Elem, bpp: <span class="kw-2">*const </span>K::Elem, |
| beta: K::Elem, |
| c: <span class="kw-2">*mut </span>K::Elem, rsc: isize, csc: isize) |
| <span class="kw">where </span>K: GemmKernel, |
| { |
| <span class="kw">let </span>mr = K::mr(); |
| <span class="kw">let </span>nr = K::nr(); |
| <span class="comment">// make a mask buffer that fits 8 x 8 f32 and 8 x 4 f64 kernels and alignment |
| </span><span class="macro">assert!</span>(mr * nr * size_of::<K::Elem>() <= <span class="number">256 </span>&& K::align_to() <= <span class="number">32</span>); |
| <span class="kw">let </span><span class="kw-2">mut </span>mask_buf = [<span class="number">0u8</span>; <span class="number">256 </span>+ <span class="number">31</span>]; |
| <span class="kw">let </span>mask_ptr = align_ptr(<span class="number">32</span>, mask_buf.as_mut_ptr()) <span class="kw">as </span><span class="kw-2">*mut </span>K::Elem; |
| |
| <span class="comment">// LOOP 2: through micropanels in packed `b` |
| </span><span class="kw">for </span>(l2, nr_) <span class="kw">in </span>range_chunk(nc, nr) { |
| <span class="kw">let </span>bpp = bpp.stride_offset(<span class="number">1</span>, kc * nr * l2); |
| <span class="kw">let </span>c = c.stride_offset(csc, nr * l2); |
| |
| <span class="comment">// LOOP 1: through micropanels in packed `a` while `b` is constant |
| </span><span class="kw">for </span>(l1, mr_) <span class="kw">in </span>range_chunk(mc, mr) { |
| <span class="kw">let </span>app = app.stride_offset(<span class="number">1</span>, kc * mr * l1); |
| <span class="kw">let </span>c = c.stride_offset(rsc, mr * l1); |
| |
| <span class="comment">// GEMM KERNEL |
| // NOTE: For the rust kernels, it performs better to simply |
| // always use the masked kernel function! |
| </span><span class="kw">if </span>K::always_masked() || nr_ < nr || mr_ < mr { |
| masked_kernel::<<span class="kw">_</span>, K>(kc, alpha, <span class="kw-2">&*</span>app, <span class="kw-2">&*</span>bpp, |
| beta, <span class="kw-2">&mut *</span>c, rsc, csc, |
| mr_, nr_, mask_ptr); |
| <span class="kw">continue</span>; |
| } <span class="kw">else </span>{ |
| K::kernel(kc, alpha, app, bpp, beta, c, rsc, csc); |
| } |
| } |
| } |
| } |
| |
| <span class="doccomment">/// Allocate a vector of uninitialized data to be used for both packing buffers. |
| /// |
| /// + A~ needs be KC x MC |
| /// + B~ needs be KC x NC |
| /// but we can make them smaller if the matrix is smaller than this (just ensure |
| /// we have rounded up to a multiple of the kernel size). |
| /// |
| /// Return packing vector and offset to start of b |
| </span><span class="kw">unsafe fn </span>packing_vec<K>(m: usize, k: usize, n: usize) -> (Vec<K::Elem>, isize) |
| <span class="kw">where </span>K: GemmKernel, |
| { |
| <span class="kw">let </span>m = min(m, K::mc()); |
| <span class="kw">let </span>k = min(k, K::kc()); |
| <span class="kw">let </span>n = min(n, K::nc()); |
| <span class="comment">// round up k, n to multiples of mr, nr |
| // round up to multiple of kc |
| </span><span class="kw">let </span>apack_size = k * round_up_to(m, K::mr()); |
| <span class="kw">let </span>bpack_size = k * round_up_to(n, K::nr()); |
| <span class="kw">let </span>nelem = apack_size + bpack_size; |
| <span class="kw">let </span><span class="kw-2">mut </span>v = Vec::with_capacity(nelem); |
| v.set_len(nelem); |
| <span class="macro">dprint!</span>(<span class="string">"packed nelem={}, apack={}, bpack={}, |
| m={} k={} n={}"</span>, |
| nelem, apack_size, bpack_size, |
| m,k,n); |
| <span class="comment">// max alignment requirement is a multiple of min(MR, NR) * sizeof<Elem> |
| // because apack_size is a multiple of MR, start of b aligns fine |
| </span>(v, apack_size <span class="kw">as </span>isize) |
| } |
| |
| <span class="doccomment">/// Align a pointer into the vec. Will reallocate to fit & shift the pointer |
| /// forwards if needed. This invalidates any previous pointers into the v. |
| </span><span class="kw">unsafe fn </span>make_aligned_vec_ptr<U>(align_to: usize, v: <span class="kw-2">&mut </span>Vec<U>) -> <span class="kw-2">*mut </span>U { |
| <span class="kw">let </span><span class="kw-2">mut </span>ptr = v.as_mut_ptr(); |
| <span class="kw">if </span>align_to != <span class="number">0 </span>{ |
| <span class="kw">if </span>v.as_ptr() <span class="kw">as </span>usize % align_to != <span class="number">0 </span>{ |
| <span class="kw">let </span>cap = v.capacity(); |
| v.reserve_exact(cap + align_to / size_of::<U>() - <span class="number">1</span>); |
| ptr = align_ptr(align_to, v.as_mut_ptr()); |
| } |
| } |
| ptr |
| } |
| |
| <span class="doccomment">/// offset the ptr forwards to align to a specific byte count |
| </span><span class="kw">unsafe fn </span>align_ptr<U>(align_to: usize, <span class="kw-2">mut </span>ptr: <span class="kw-2">*mut </span>U) -> <span class="kw-2">*mut </span>U { |
| <span class="kw">if </span>align_to != <span class="number">0 </span>{ |
| <span class="kw">let </span>cur_align = ptr <span class="kw">as </span>usize % align_to; |
| <span class="kw">if </span>cur_align != <span class="number">0 </span>{ |
| ptr = ptr.offset(((align_to - cur_align) / size_of::<U>()) <span class="kw">as </span>isize); |
| } |
| } |
| ptr |
| } |
| |
| <span class="doccomment">/// Pack matrix into `pack` |
| /// |
| /// + kc: length of the micropanel |
| /// + mc: number of rows/columns in the matrix to be packed |
| /// + mr: kernel rows/columns that we round up to |
| /// + pack: packing buffer |
| /// + a: matrix, |
| /// + rsa: row stride |
| /// + csa: column stride |
| </span><span class="kw">unsafe fn </span>pack<T>(kc: usize, mc: usize, mr: usize, pack: <span class="kw-2">*mut </span>T, |
| a: <span class="kw-2">*const </span>T, rsa: isize, csa: isize) |
| <span class="kw">where </span>T: Element |
| { |
| <span class="kw">let </span><span class="kw-2">mut </span>pack = pack; |
| <span class="kw">for </span>ir <span class="kw">in </span><span class="number">0</span>..mc/mr { |
| <span class="kw">let </span>row_offset = ir * mr; |
| <span class="kw">for </span>j <span class="kw">in </span><span class="number">0</span>..kc { |
| <span class="kw">for </span>i <span class="kw">in </span><span class="number">0</span>..mr { |
| <span class="kw-2">*</span>pack = <span class="kw-2">*</span>a.stride_offset(rsa, i + row_offset) |
| .stride_offset(csa, j); |
| pack.inc(); |
| } |
| } |
| } |
| |
| <span class="kw">let </span>zero = <<span class="kw">_</span>>::zero(); |
| |
| <span class="comment">// Pad with zeros to multiple of kernel size (uneven mc) |
| </span><span class="kw">let </span>rest = mc % mr; |
| <span class="kw">if </span>rest > <span class="number">0 </span>{ |
| <span class="kw">let </span>row_offset = (mc/mr) * mr; |
| <span class="kw">for </span>j <span class="kw">in </span><span class="number">0</span>..kc { |
| <span class="kw">for </span>i <span class="kw">in </span><span class="number">0</span>..mr { |
| <span class="kw">if </span>i < rest { |
| <span class="kw-2">*</span>pack = <span class="kw-2">*</span>a.stride_offset(rsa, i + row_offset) |
| .stride_offset(csa, j); |
| } <span class="kw">else </span>{ |
| <span class="kw-2">*</span>pack = zero; |
| } |
| pack.inc(); |
| } |
| } |
| } |
| } |
| |
| <span class="doccomment">/// Call the GEMM kernel with a "masked" output C. |
| /// |
| /// Simply redirect the MR by NR kernel output to the passed |
| /// in `mask_buf`, and copy the non masked region to the real |
| /// C. |
| /// |
| /// + rows: rows of kernel unmasked |
| /// + cols: cols of kernel unmasked |
| </span><span class="attribute">#[inline(never)] |
| </span><span class="kw">unsafe fn </span>masked_kernel<T, K>(k: usize, alpha: T, |
| a: <span class="kw-2">*const </span>T, |
| b: <span class="kw-2">*const </span>T, |
| beta: T, |
| c: <span class="kw-2">*mut </span>T, rsc: isize, csc: isize, |
| rows: usize, cols: usize, |
| mask_buf: <span class="kw-2">*mut </span>T) |
| <span class="kw">where </span>K: GemmKernel<Elem=T>, T: Element, |
| { |
| <span class="kw">let </span>mr = K::mr(); |
| <span class="kw">let </span>nr = K::nr(); |
| <span class="comment">// use column major order for `mask_buf` |
| </span>K::kernel(k, T::one(), a, b, T::zero(), mask_buf, <span class="number">1</span>, mr <span class="kw">as </span>isize); |
| <span class="kw">let </span><span class="kw-2">mut </span>ab = mask_buf; |
| <span class="kw">for </span>j <span class="kw">in </span><span class="number">0</span>..nr { |
| <span class="kw">for </span>i <span class="kw">in </span><span class="number">0</span>..mr { |
| <span class="kw">if </span>i < rows && j < cols { |
| <span class="kw">let </span>cptr = c.offset(rsc * i <span class="kw">as </span>isize + csc * j <span class="kw">as </span>isize); |
| <span class="kw">if </span>beta.is_zero() { |
| <span class="kw-2">*</span>cptr = T::zero(); <span class="comment">// initialize C |
| </span>} <span class="kw">else </span>{ |
| (<span class="kw-2">*</span>cptr).scale_by(beta); |
| } |
| (<span class="kw-2">*</span>cptr).scaled_add(alpha, <span class="kw-2">*</span>ab); |
| } |
| ab.inc(); |
| } |
| } |
| } |
| </code></pre></div> |
| </section></div></main><div id="rustdoc-vars" data-root-path="../../" data-current-crate="matrixmultiply" data-themes="ayu,dark,light" data-resource-suffix="" data-rustdoc-version="1.66.0-nightly (5c8bff74b 2022-10-21)" ></div></body></html> |
