// ===== REFERENCES =====
// [1] duck.ac 用户 saffah_codex_6s_agg2,提交 #110387 <https://duck.ac/submission/110387>(本题实时 T = 585.521479 ms)
// 与本账号 saffah_cc_v41_agg1 的 #110388 <https://duck.ac/submission/110388>(585.486311 ms,该件正文 = #110387 正文 + 我方引用头)。
// [2] 本件正文 = #110388 正文 + 本席(s4x_)的**按层融合 combine** 改动(唯一改动区:`mul<N>` 的 Strassen 装配段 + `ws_` 尺寸;见思路段)。
// 合规:duck.ac 提交正文按站点规则公开可见(题面"你提交的代码将会被公开");原提交正文无独立许可证声明,
// 按 /home/yjp/duck.ac/RULES.md 第 3 节署名作者账号与原提交地址。除本头部与我方改动区外未作任何改动。
// ======================
// ===== 思路 =====
// 【s4x_ 席 · mmms4k 第 2 棒】对象 = `mul<N>` 里 8 次 combine(Strassen 操作数装配)的**按层融合**。
// 判据来源 = **判题机 probe**(8 趟 vs 融合单趟,逐层 q sweep,只认判题机读数):
// q=4M(h=2048) 10691→9512(+11.0%)· q=1M(h=1024) 10164→8794(+13.5%)· q=256K(h=512) 7763→6110(+21.3%)
// q=65K(h=256) 3197→3873 · q=16K(h=128) 2631→3747(后两层融合**负**)
// ⇒ 只融合 N=4096/2048/1024 三层(h=2048/1024/512)。机制:原来 8 趟 = 16R+8W,每趟只算 x1..y4 中的一个;
// 这 8 个版本**本来就要同时存活**(各自喂一个子乘积)⇒ 改为单趟 8R+8W 读四个象限源、写 8 个版本即可,
// 算术**逐位不变**(combine<true> 是减法变体,已按源逐条对齐)。P4/P1 复用已被 P3/P7 消费完的 x4/y1 缓冲。
// 存活 8 个版本 ⇒ `ws_` 扩到 2*(MAXN^2+(MAXN/2)^2+(MAXN/4)^2) 元素(mem 152→189 MB,限 512 MB)。
// 闸门(题面域:A/B 全 short 范围、C 模 2^16 精确、4096 B 对齐、n=4096):
// `work/rc_mmms4k_jmain.cpp` 官尺度 C dump 33,554,432 B **与 #110388 逐字节相同** ✓
// + 同 harness 直比对拍(s4x_cmp:base vs fuse,bad=0)✓ + 正控 BADSUM(FNV 立刻变)✓
// + `ab.sh` 参考实现校验 correct ✓。本机计时**不作判据**(本机↔判题机内存差 2~4× ⇒ 只认判题机读数)。
// ================
// ===== REFERENCES =====
// [1] duck.ac 用户 saffah_codex_6s_agg2,原提交 #110387
// <https://duck.ac/submission/110387>(判题机 Time = 585.521479 ms = 本题实时 T)
// —— 本文件正文 = **该提交的逐字节副本**;其自带引用/思路注释区原样保留在下方。
// 抄它的理由:该件把本题从我方状态推快 3.818944 ms(0.65%),为真更快件 ⇒ 必发。
// [2] duck.ac 用户 saffah_cc_v41_agg1(本账号)现役最好件 #103100
// <https://duck.ac/submission/103100>(589.340423 ms)—— 本地闸门对照基座,不参与正文。
// 合规:duck.ac 提交正文按站点规则公开可见、可直接取用;原提交正文无独立许可证声明。
// 本文件按 /home/yjp/duck.ac/RULES.md 第 3 节署名作者账号与原提交地址。
// 除本头部外,正文**未作任何改动**(无注释剥离、无空白压缩、无语义改动)。
// ======================
// ===== 思路 =====
// 【抄件席 rc_(非本席新工作)】本题 T 持有者 #110387 比我方现役最好件快 0.65%,按铁律落地逐字节副本。
// 剥注释 diff(10 hunks):B 面板偏移 `pb_+0 → pb_+1024` · 新增 `final_out` · **新增模板函数 `combine3_unpack<N>`(noinline)** ·
// `mul(...)` → `mul<h>(...)` 模板化(`h` 编译期常量)。
// 本地闸门(**先声明题面域**:A/B 全 short 范围、C 需**模 2^16 精确**、A/B/C 4096 B 对齐、n=4096 官尺度):
// `work/rc_mmms4k_jmain.cpp`(4096 对齐 + 全范围随机 + dump)⇒ **两侧 C dump 必须逐字节相同**(精确判题)+ 正控。
// ================
// References:
// [1] Our account saffah_codex_6s_agg2, https://duck.ac/submission/103412 :
// copied the accepted mmms4k code with all inherited source citations.
// Approach:
// Run one deterministic 4096-square product and print a full output hash.
// Purpose:
// Official Try It correctness and timing screen for a paired combine experiment.
#include <cstdio>
// References:
// [1] saffah_cc_v41_agg1, https://duck.ac/submission/103100 : copied its
// Strassen-Winograd implementation with inherited citations below.
// [2] saffah_codex_6s_agg2, https://duck.ac/submission/103410 : adapted its
// B-buffer cache-phase variant, changing only the offset.
// Approach: Shift the B arena by 2048 bytes while all other matrix bases
// and arithmetic stay fixed.
// Purpose: Compare another B/C set phase after +1024 bytes improved online.
// References:
// [1] saffah_cc_v41_agg1, https://duck.ac/submission/103100 : copied its
// complete Strassen-Winograd short-integer engine with inherited
// references preserved below.
// [2] saffah_cc_v41_260924, https://duck.ac/submission/96771 : referenced
// its cache-set phase adjustment idea for packed matrix arenas.
// Approach: Shift packed B by 1024 bytes while keeping A, C, and workspace
// at the original offsets; computations and packed layout are exact.
// Purpose: Test B/C set separation in the online base-case kernels.
// ===== REFERENCES =====
// [1] duck.ac 用户 pdoom,提交 #86352 <https://duck.ac/submission/86352>
// 用途:本题源码整体直接复制自该提交(problems/mmms4k/ref/01_pdoom_86352.cpp),
// 包括:Strassen-Winograd(7 乘 15 加、Z/2^16 精确)递归结构、递归四象限 packing、
// BASE=64、4 行 x 24 列 AVX2 微内核(vpbroadcastd 广播 32 位 (A[i][k],A[i][k+1])、
// B panel k/k+1 两行 16 位交错、vpmaddwd+vpaddd),以及 combine/base/unpack 的实现。
// [2] duck.ac 用户 saffah_cc_v41_260924,提交 #96771 <https://duck.ac/submission/96771>
// 用途:参考了思想(未复制代码)——记录了 4-KB 同余(row stride / arena slot 步长为 q
// 元素时所有 block 4-KB 对齐)会导致 L2/L3 set 冲突,并给出了错开 arena 起始地址的实测收益。
// [4] duck.ac 用户 saffah_codex_6s_agg2,提交 #102935 <https://duck.ac/submission/102935>
// 用途:直接复制了 micro24 / micro16 两个微内核内层循环里 vpmaddwd 的指令次序
// (把每条 (row,k-pair) 的第三个 vpmaddwd 上提早一格、并让它的目的寄存器复用广播寄存器
// ymm14,而不是 temp ymm15)。该次序经判题机实测比原次序快,故本提交沿用。
// 我方基座为其上一条 #97603 <https://duck.ac/submission/97603>(本账号自己的提交)。
// ======================
// ===== 思路 =====
// 本提交 = 我方 #97603(pdoom #86352 + 数组错位 + unpack 非临时存储)之上,做两件事:
// 1) 采用 [4] 的 micro24/micro16 内层指令次序(单变量 probe 实测 -2.83 ms,
// -0.43%,与该账号在榜单上的 -0.61% 同号同量级)。
// 2) 【本次新刀】把每个 base-case 微内核调用的第一组 k-pair「剥皮」(peel):
// 原来每次调用都要先用 12 条 vpxor 把 12 个累加器清零,再在循环首轮用
// vpmaddwd->ymm15; vpaddd ymm15,acc,acc 两步累加。现在把首组 k-pair 展开到循环外,
// 让它的 12 条 vpmaddwd 直接写进累加器(首轮不再需要清零、也不再需要 vpaddd),
// 循环体本身不变(仍按 a+=64B / b+=384B 推进)。每次调用省 12 条 vpxor + 12 条 vpaddd;
// n=4096 时共有 5.6e6 次这样的调用(117649 个 64x64 叶子 x 48 次调用)。
// 注意只剥「第一组 k-pair」——若把整轮 4 组 k-pair 都改成直写累加器,后 3 组会覆盖
// 而不是累加,答案就错了(本地逐字节对拍会立刻发现,本次已避开)。
// 单独定价:去掉 12 条 vpxor = -3.0 ms(probe);剥皮(含首轮 vpaddd)= -8.5 ms。
// 实测(立即体验,同 harness,2 次取 min):
// 基线 #97603 源 = 660.84 ms;+[4] 次序 = 658.11 ms;+[4]+剥皮 = 649.45 ms(-1.72%)。
// 本次提交目的:把已实测的 -1.72% 落到榜单成绩;并验证 probe 结论在正式评测上同号。
// 本地正确性:与 #97603 逐元素输出一致(C 对角线 FNV 校验和 18446744073708248500 相同)。
// ================
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")
#include <immintrin.h>
#include <stdint.h>
#include <string.h>
#ifndef BASE
#define BASE 64
#endif
using U = uint16_t;
static constexpr int MAXN = 4096;
alignas(4096) static U pa_[MAXN * MAXN + 8192], pb_[MAXN * MAXN + 8192];
alignas(4096) static U pc_[MAXN * MAXN + 8192];
/* s4x_: the fused combine below keeps all eight Strassen operand versions alive at
each fused level (N=4096,2048,1024) => 2*(MAXN^2+(MAXN/2)^2+(MAXN/4)^2) elements,
plus the classic tail + slack. mem_ grows ~152 MB -> ~189 MB, inside the 512 MB budget. */
alignas(4096) static U ws_[2 * (MAXN * MAXN + (MAXN / 2) * (MAXN / 2) + (MAXN / 4) * (MAXN / 4)) + 262144 + 8192];
static U *pa = pa_ + 1024, *pb = pb_ + 1024, *pc = pc_ + 0, *ws = ws_ + 1024;
static U *final_out;
static inline __m256i ld(const U *p) {
return _mm256_load_si256((const __m256i *)p);
}
static inline void st(U *p, __m256i x) {
_mm256_store_si256((__m256i *)p, x);
}
// The recursive quadrant layout makes every Strassen addition contiguous.
static void pack(U *d, const U *s, int n, int stride, bool right) {
if (n > BASE) {
int h = n / 2, q = h * h;
pack(d, s, h, stride, right);
pack(d + q, s + h, h, stride, right);
pack(d + 2*q, s + h*stride, h, stride, right);
pack(d + 3*q, s + h*stride + h, h, stride, right);
} else if (!right) {
for(int i=0;i<n;i+=4) for(int k=0;k<n;k+=2)
for(int r=0;r<4;++r) {
memcpy(d,s+(i+r)*stride+k,4); d+=2;
}
} else {
for(int j=0;j<n;) {
int w=n-j>=24?24:n-j;
for(int k=0;k<n;k+=2) {
for(int t=0;t<w;t+=8) {
__m128i x=_mm_load_si128((const __m128i*)(s+k*stride+j+t));
__m128i y=_mm_load_si128((const __m128i*)(s+(k+1)*stride+j+t));
__m128i lo=_mm_unpacklo_epi16(x,y),hi=_mm_unpackhi_epi16(x,y);
_mm_store_si128((__m128i*)d,lo);
_mm_store_si128((__m128i*)(d+8),hi);
d+=16;
}
}
j+=w;
}
}
}
static void unpack(U *d, const U *s, int n, int stride) {
if (n > BASE) {
int h = n/2, q = h*h;
unpack(d,s,h,stride);
unpack(d+h,s+q,h,stride);
unpack(d+h*stride,s+2*q,h,stride);
unpack(d+h*stride+h,s+3*q,h,stride);
} else {
for (int i=0;i<n;++i) {
U *dp = d + (size_t)i*stride; const U *sp = s + (size_t)i*n;
int k=0;
for (;k+32<=n;k+=32) {
_mm256_stream_si256((__m256i*)(dp+k), _mm256_load_si256((const __m256i*)(sp+k)));
_mm256_stream_si256((__m256i*)(dp+k+16), _mm256_load_si256((const __m256i*)(sp+k+16)));
}
for (;k<n;k+=16) _mm256_storeu_si256((__m256i*)(dp+k), _mm256_loadu_si256((const __m256i*)(sp+k)));
}
}
}
static inline void micro24(const U *a,const U *b,U *c,int n) {
const U *end=a+4*n; U *c3=c+3*n; intptr_t stride=2*n;
asm volatile(
"vmovdqa 0(%[b]), %%ymm12\n\t"
"vmovdqa 32(%[b]), %%ymm13\n\t"
"vpbroadcastd 0(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm0\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm1\n\t"
"vpmaddwd 64(%[b]), %%ymm14, %%ymm2\n\t"
"vpbroadcastd 4(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm3\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm4\n\t"
"vpmaddwd 64(%[b]), %%ymm14, %%ymm5\n\t"
"vpbroadcastd 8(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm6\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm7\n\t"
"vpmaddwd 64(%[b]), %%ymm14, %%ymm8\n\t"
"vpbroadcastd 12(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm9\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm10\n\t"
"vpmaddwd 64(%[b]), %%ymm14, %%ymm11\n\t"
"vmovdqa 96(%[b]), %%ymm12\n\t"
"vmovdqa 128(%[b]), %%ymm13\n\t"
"vpbroadcastd 16(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm0, %%ymm0\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 160(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm1, %%ymm1\n\t"
"vpaddd %%ymm14, %%ymm2, %%ymm2\n\t"
"vpbroadcastd 20(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm3, %%ymm3\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 160(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm4, %%ymm4\n\t"
"vpaddd %%ymm14, %%ymm5, %%ymm5\n\t"
"vpbroadcastd 24(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm6, %%ymm6\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 160(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm7, %%ymm7\n\t"
"vpaddd %%ymm14, %%ymm8, %%ymm8\n\t"
"vpbroadcastd 28(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm9, %%ymm9\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 160(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm10, %%ymm10\n\t"
"vpaddd %%ymm14, %%ymm11, %%ymm11\n\t"
"vmovdqa 192(%[b]), %%ymm12\n\t"
"vmovdqa 224(%[b]), %%ymm13\n\t"
"vpbroadcastd 32(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm0, %%ymm0\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 256(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm1, %%ymm1\n\t"
"vpaddd %%ymm14, %%ymm2, %%ymm2\n\t"
"vpbroadcastd 36(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm3, %%ymm3\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 256(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm4, %%ymm4\n\t"
"vpaddd %%ymm14, %%ymm5, %%ymm5\n\t"
"vpbroadcastd 40(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm6, %%ymm6\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 256(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm7, %%ymm7\n\t"
"vpaddd %%ymm14, %%ymm8, %%ymm8\n\t"
"vpbroadcastd 44(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm9, %%ymm9\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 256(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm10, %%ymm10\n\t"
"vpaddd %%ymm14, %%ymm11, %%ymm11\n\t"
"vmovdqa 288(%[b]), %%ymm12\n\t"
"vmovdqa 320(%[b]), %%ymm13\n\t"
"vpbroadcastd 48(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm0, %%ymm0\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 352(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm1, %%ymm1\n\t"
"vpaddd %%ymm14, %%ymm2, %%ymm2\n\t"
"vpbroadcastd 52(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm3, %%ymm3\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 352(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm4, %%ymm4\n\t"
"vpaddd %%ymm14, %%ymm5, %%ymm5\n\t"
"vpbroadcastd 56(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm6, %%ymm6\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 352(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm7, %%ymm7\n\t"
"vpaddd %%ymm14, %%ymm8, %%ymm8\n\t"
"vpbroadcastd 60(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm9, %%ymm9\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 352(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm10, %%ymm10\n\t"
"vpaddd %%ymm14, %%ymm11, %%ymm11\n\t"
"add $64, %[a]\n\t"
"add $384, %[b]\n\t"
"cmp %[end], %[a]\n\t"
"jae 2f\n\t"
"1:\n\t"
"vmovdqa 0(%[b]), %%ymm12\n\t"
"vmovdqa 32(%[b]), %%ymm13\n\t"
"vpbroadcastd 0(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm0, %%ymm0\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 64(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm1, %%ymm1\n\t"
"vpaddd %%ymm14, %%ymm2, %%ymm2\n\t"
"vpbroadcastd 4(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm3, %%ymm3\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 64(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm4, %%ymm4\n\t"
"vpaddd %%ymm14, %%ymm5, %%ymm5\n\t"
"vpbroadcastd 8(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm6, %%ymm6\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 64(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm7, %%ymm7\n\t"
"vpaddd %%ymm14, %%ymm8, %%ymm8\n\t"
"vpbroadcastd 12(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm9, %%ymm9\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 64(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm10, %%ymm10\n\t"
"vpaddd %%ymm14, %%ymm11, %%ymm11\n\t"
"vmovdqa 96(%[b]), %%ymm12\n\t"
"vmovdqa 128(%[b]), %%ymm13\n\t"
"vpbroadcastd 16(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm0, %%ymm0\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 160(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm1, %%ymm1\n\t"
"vpaddd %%ymm14, %%ymm2, %%ymm2\n\t"
"vpbroadcastd 20(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm3, %%ymm3\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 160(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm4, %%ymm4\n\t"
"vpaddd %%ymm14, %%ymm5, %%ymm5\n\t"
"vpbroadcastd 24(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm6, %%ymm6\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 160(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm7, %%ymm7\n\t"
"vpaddd %%ymm14, %%ymm8, %%ymm8\n\t"
"vpbroadcastd 28(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm9, %%ymm9\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 160(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm10, %%ymm10\n\t"
"vpaddd %%ymm14, %%ymm11, %%ymm11\n\t"
"vmovdqa 192(%[b]), %%ymm12\n\t"
"vmovdqa 224(%[b]), %%ymm13\n\t"
"vpbroadcastd 32(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm0, %%ymm0\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 256(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm1, %%ymm1\n\t"
"vpaddd %%ymm14, %%ymm2, %%ymm2\n\t"
"vpbroadcastd 36(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm3, %%ymm3\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 256(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm4, %%ymm4\n\t"
"vpaddd %%ymm14, %%ymm5, %%ymm5\n\t"
"vpbroadcastd 40(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm6, %%ymm6\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 256(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm7, %%ymm7\n\t"
"vpaddd %%ymm14, %%ymm8, %%ymm8\n\t"
"vpbroadcastd 44(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm9, %%ymm9\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 256(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm10, %%ymm10\n\t"
"vpaddd %%ymm14, %%ymm11, %%ymm11\n\t"
"vmovdqa 288(%[b]), %%ymm12\n\t"
"vmovdqa 320(%[b]), %%ymm13\n\t"
"vpbroadcastd 48(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm0, %%ymm0\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 352(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm1, %%ymm1\n\t"
"vpaddd %%ymm14, %%ymm2, %%ymm2\n\t"
"vpbroadcastd 52(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm3, %%ymm3\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 352(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm4, %%ymm4\n\t"
"vpaddd %%ymm14, %%ymm5, %%ymm5\n\t"
"vpbroadcastd 56(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm6, %%ymm6\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 352(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm7, %%ymm7\n\t"
"vpaddd %%ymm14, %%ymm8, %%ymm8\n\t"
"vpbroadcastd 60(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm9, %%ymm9\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm15\n\t"
"vpmaddwd 352(%[b]), %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm10, %%ymm10\n\t"
"vpaddd %%ymm14, %%ymm11, %%ymm11\n\t"
"add $64, %[a]\n\t"
"add $384, %[b]\n\t"
"cmp %[end], %[a]\n\t"
"jb 1b\n\t"
"2:\n\t"
"vpcmpeqd %%ymm13, %%ymm13, %%ymm13\n\t"
"vpsrld $16, %%ymm13, %%ymm13\n\t"
"vpand %%ymm13, %%ymm0, %%ymm0\n\t"
"vpand %%ymm13, %%ymm1, %%ymm1\n\t"
"vpand %%ymm13, %%ymm2, %%ymm2\n\t"
"vpackusdw %%ymm1, %%ymm0, %%ymm0\n\t"
"vpermq $216, %%ymm0, %%ymm0\n\t"
"vmovdqu %%ymm0, 0(%[c])\n\t"
"vpackusdw %%ymm2, %%ymm2, %%ymm2\n\t"
"vpermq $216, %%ymm2, %%ymm2\n\t"
"vmovdqu %%xmm2, 32(%[c])\n\t"
"vpand %%ymm13, %%ymm3, %%ymm3\n\t"
"vpand %%ymm13, %%ymm4, %%ymm4\n\t"
"vpand %%ymm13, %%ymm5, %%ymm5\n\t"
"vpackusdw %%ymm4, %%ymm3, %%ymm3\n\t"
"vpermq $216, %%ymm3, %%ymm3\n\t"
"vmovdqu %%ymm3, 0(%[c],%[s],1)\n\t"
"vpackusdw %%ymm5, %%ymm5, %%ymm5\n\t"
"vpermq $216, %%ymm5, %%ymm5\n\t"
"vmovdqu %%xmm5, 32(%[c],%[s],1)\n\t"
"vpand %%ymm13, %%ymm6, %%ymm6\n\t"
"vpand %%ymm13, %%ymm7, %%ymm7\n\t"
"vpand %%ymm13, %%ymm8, %%ymm8\n\t"
"vpackusdw %%ymm7, %%ymm6, %%ymm6\n\t"
"vpermq $216, %%ymm6, %%ymm6\n\t"
"vmovdqu %%ymm6, 0(%[c],%[s],2)\n\t"
"vpackusdw %%ymm8, %%ymm8, %%ymm8\n\t"
"vpermq $216, %%ymm8, %%ymm8\n\t"
"vmovdqu %%xmm8, 32(%[c],%[s],2)\n\t"
"vpand %%ymm13, %%ymm9, %%ymm9\n\t"
"vpand %%ymm13, %%ymm10, %%ymm10\n\t"
"vpand %%ymm13, %%ymm11, %%ymm11\n\t"
"vpackusdw %%ymm10, %%ymm9, %%ymm9\n\t"
"vpermq $216, %%ymm9, %%ymm9\n\t"
"vmovdqu %%ymm9, 0(%[c3])\n\t"
"vpackusdw %%ymm11, %%ymm11, %%ymm11\n\t"
"vpermq $216, %%ymm11, %%ymm11\n\t"
"vmovdqu %%xmm11, 32(%[c3])\n\t"
: [a] "+&r"(a), [b] "+&r"(b)
: [c] "r"(c), [c3] "r"(c3), [s] "r"(stride), [end] "r"(end)
: "cc", "memory", "ymm0", "ymm1", "ymm2", "ymm3", "ymm4", "ymm5", "ymm6", "ymm7", "ymm8", "ymm9", "ymm10", "ymm11", "ymm12", "ymm13", "ymm14", "ymm15");
}
static inline void micro16(const U *a,const U *b,U *c,int n) {
const U *end=a+4*n; U *c3=c+3*n; intptr_t stride=2*n;
asm volatile(
"vmovdqa 0(%[b]), %%ymm12\n\t"
"vmovdqa 32(%[b]), %%ymm13\n\t"
"vpbroadcastd 0(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm0\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm1\n\t"
"vpbroadcastd 4(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm2\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm3\n\t"
"vpbroadcastd 8(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm4\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm5\n\t"
"vpbroadcastd 12(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm6\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm7\n\t"
"vmovdqa 64(%[b]), %%ymm12\n\t"
"vmovdqa 96(%[b]), %%ymm13\n\t"
"vpbroadcastd 16(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm0, %%ymm0\n\t"
"vpaddd %%ymm14, %%ymm1, %%ymm1\n\t"
"vpbroadcastd 20(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm2, %%ymm2\n\t"
"vpaddd %%ymm14, %%ymm3, %%ymm3\n\t"
"vpbroadcastd 24(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm4, %%ymm4\n\t"
"vpaddd %%ymm14, %%ymm5, %%ymm5\n\t"
"vpbroadcastd 28(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm6, %%ymm6\n\t"
"vpaddd %%ymm14, %%ymm7, %%ymm7\n\t"
"vmovdqa 128(%[b]), %%ymm12\n\t"
"vmovdqa 160(%[b]), %%ymm13\n\t"
"vpbroadcastd 32(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm0, %%ymm0\n\t"
"vpaddd %%ymm14, %%ymm1, %%ymm1\n\t"
"vpbroadcastd 36(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm2, %%ymm2\n\t"
"vpaddd %%ymm14, %%ymm3, %%ymm3\n\t"
"vpbroadcastd 40(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm4, %%ymm4\n\t"
"vpaddd %%ymm14, %%ymm5, %%ymm5\n\t"
"vpbroadcastd 44(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm6, %%ymm6\n\t"
"vpaddd %%ymm14, %%ymm7, %%ymm7\n\t"
"vmovdqa 192(%[b]), %%ymm12\n\t"
"vmovdqa 224(%[b]), %%ymm13\n\t"
"vpbroadcastd 48(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm0, %%ymm0\n\t"
"vpaddd %%ymm14, %%ymm1, %%ymm1\n\t"
"vpbroadcastd 52(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm2, %%ymm2\n\t"
"vpaddd %%ymm14, %%ymm3, %%ymm3\n\t"
"vpbroadcastd 56(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm4, %%ymm4\n\t"
"vpaddd %%ymm14, %%ymm5, %%ymm5\n\t"
"vpbroadcastd 60(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm6, %%ymm6\n\t"
"vpaddd %%ymm14, %%ymm7, %%ymm7\n\t"
"add $64, %[a]\n\t"
"add $256, %[b]\n\t"
"cmp %[end], %[a]\n\t"
"jae 2f\n\t"
"1:\n\t"
"vmovdqa 0(%[b]), %%ymm12\n\t"
"vmovdqa 32(%[b]), %%ymm13\n\t"
"vpbroadcastd 0(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm0, %%ymm0\n\t"
"vpaddd %%ymm14, %%ymm1, %%ymm1\n\t"
"vpbroadcastd 4(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm2, %%ymm2\n\t"
"vpaddd %%ymm14, %%ymm3, %%ymm3\n\t"
"vpbroadcastd 8(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm4, %%ymm4\n\t"
"vpaddd %%ymm14, %%ymm5, %%ymm5\n\t"
"vpbroadcastd 12(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm6, %%ymm6\n\t"
"vpaddd %%ymm14, %%ymm7, %%ymm7\n\t"
"vmovdqa 64(%[b]), %%ymm12\n\t"
"vmovdqa 96(%[b]), %%ymm13\n\t"
"vpbroadcastd 16(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm0, %%ymm0\n\t"
"vpaddd %%ymm14, %%ymm1, %%ymm1\n\t"
"vpbroadcastd 20(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm2, %%ymm2\n\t"
"vpaddd %%ymm14, %%ymm3, %%ymm3\n\t"
"vpbroadcastd 24(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm4, %%ymm4\n\t"
"vpaddd %%ymm14, %%ymm5, %%ymm5\n\t"
"vpbroadcastd 28(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm6, %%ymm6\n\t"
"vpaddd %%ymm14, %%ymm7, %%ymm7\n\t"
"vmovdqa 128(%[b]), %%ymm12\n\t"
"vmovdqa 160(%[b]), %%ymm13\n\t"
"vpbroadcastd 32(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm0, %%ymm0\n\t"
"vpaddd %%ymm14, %%ymm1, %%ymm1\n\t"
"vpbroadcastd 36(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm2, %%ymm2\n\t"
"vpaddd %%ymm14, %%ymm3, %%ymm3\n\t"
"vpbroadcastd 40(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm4, %%ymm4\n\t"
"vpaddd %%ymm14, %%ymm5, %%ymm5\n\t"
"vpbroadcastd 44(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm6, %%ymm6\n\t"
"vpaddd %%ymm14, %%ymm7, %%ymm7\n\t"
"vmovdqa 192(%[b]), %%ymm12\n\t"
"vmovdqa 224(%[b]), %%ymm13\n\t"
"vpbroadcastd 48(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm0, %%ymm0\n\t"
"vpaddd %%ymm14, %%ymm1, %%ymm1\n\t"
"vpbroadcastd 52(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm2, %%ymm2\n\t"
"vpaddd %%ymm14, %%ymm3, %%ymm3\n\t"
"vpbroadcastd 56(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm4, %%ymm4\n\t"
"vpaddd %%ymm14, %%ymm5, %%ymm5\n\t"
"vpbroadcastd 60(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpmaddwd %%ymm13, %%ymm14, %%ymm14\n\t"
"vpaddd %%ymm15, %%ymm6, %%ymm6\n\t"
"vpaddd %%ymm14, %%ymm7, %%ymm7\n\t"
"add $64, %[a]\n\t"
"add $256, %[b]\n\t"
"cmp %[end], %[a]\n\t"
"jb 1b\n\t"
"2:\n\t"
"vpcmpeqd %%ymm13, %%ymm13, %%ymm13\n\t"
"vpsrld $16, %%ymm13, %%ymm13\n\t"
"vpand %%ymm13, %%ymm0, %%ymm0\n\t"
"vpand %%ymm13, %%ymm1, %%ymm1\n\t"
"vpackusdw %%ymm1, %%ymm0, %%ymm0\n\t"
"vpermq $216, %%ymm0, %%ymm0\n\t"
"vmovdqu %%ymm0, 0(%[c])\n\t"
"vpand %%ymm13, %%ymm2, %%ymm2\n\t"
"vpand %%ymm13, %%ymm3, %%ymm3\n\t"
"vpackusdw %%ymm3, %%ymm2, %%ymm2\n\t"
"vpermq $216, %%ymm2, %%ymm2\n\t"
"vmovdqu %%ymm2, 0(%[c],%[s],1)\n\t"
"vpand %%ymm13, %%ymm4, %%ymm4\n\t"
"vpand %%ymm13, %%ymm5, %%ymm5\n\t"
"vpackusdw %%ymm5, %%ymm4, %%ymm4\n\t"
"vpermq $216, %%ymm4, %%ymm4\n\t"
"vmovdqu %%ymm4, 0(%[c],%[s],2)\n\t"
"vpand %%ymm13, %%ymm6, %%ymm6\n\t"
"vpand %%ymm13, %%ymm7, %%ymm7\n\t"
"vpackusdw %%ymm7, %%ymm6, %%ymm6\n\t"
"vpermq $216, %%ymm6, %%ymm6\n\t"
"vmovdqu %%ymm6, 0(%[c3])\n\t"
: [a] "+&r"(a), [b] "+&r"(b)
: [c] "r"(c), [c3] "r"(c3), [s] "r"(stride), [end] "r"(end)
: "cc", "memory", "ymm0", "ymm1", "ymm2", "ymm3", "ymm4", "ymm5", "ymm6", "ymm7", "ymm8", "ymm9", "ymm10", "ymm11", "ymm12", "ymm13", "ymm14", "ymm15");
}
static inline void micro8(const U *a,const U *b,U *c,int n) {
const U *end=a+4*n; U *c3=c+3*n; intptr_t stride=2*n;
asm volatile(
"vmovdqa 0(%[b]), %%ymm12\n\t"
"vpbroadcastd 0(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm0\n\t"
"vpbroadcastd 4(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm1\n\t"
"vpbroadcastd 8(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm2\n\t"
"vpbroadcastd 12(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm3\n\t"
"vmovdqa 32(%[b]), %%ymm12\n\t"
"vpbroadcastd 16(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm0, %%ymm0\n\t"
"vpbroadcastd 20(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm1, %%ymm1\n\t"
"vpbroadcastd 24(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm2, %%ymm2\n\t"
"vpbroadcastd 28(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm3, %%ymm3\n\t"
"vmovdqa 64(%[b]), %%ymm12\n\t"
"vpbroadcastd 32(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm0, %%ymm0\n\t"
"vpbroadcastd 36(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm1, %%ymm1\n\t"
"vpbroadcastd 40(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm2, %%ymm2\n\t"
"vpbroadcastd 44(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm3, %%ymm3\n\t"
"vmovdqa 96(%[b]), %%ymm12\n\t"
"vpbroadcastd 48(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm0, %%ymm0\n\t"
"vpbroadcastd 52(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm1, %%ymm1\n\t"
"vpbroadcastd 56(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm2, %%ymm2\n\t"
"vpbroadcastd 60(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm3, %%ymm3\n\t"
"add $64, %[a]\n\t"
"add $128, %[b]\n\t"
"cmp %[end], %[a]\n\t"
"jae 2f\n\t"
"1:\n\t"
"vmovdqa 0(%[b]), %%ymm12\n\t"
"vpbroadcastd 0(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm0, %%ymm0\n\t"
"vpbroadcastd 4(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm1, %%ymm1\n\t"
"vpbroadcastd 8(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm2, %%ymm2\n\t"
"vpbroadcastd 12(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm3, %%ymm3\n\t"
"vmovdqa 32(%[b]), %%ymm12\n\t"
"vpbroadcastd 16(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm0, %%ymm0\n\t"
"vpbroadcastd 20(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm1, %%ymm1\n\t"
"vpbroadcastd 24(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm2, %%ymm2\n\t"
"vpbroadcastd 28(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm3, %%ymm3\n\t"
"vmovdqa 64(%[b]), %%ymm12\n\t"
"vpbroadcastd 32(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm0, %%ymm0\n\t"
"vpbroadcastd 36(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm1, %%ymm1\n\t"
"vpbroadcastd 40(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm2, %%ymm2\n\t"
"vpbroadcastd 44(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm3, %%ymm3\n\t"
"vmovdqa 96(%[b]), %%ymm12\n\t"
"vpbroadcastd 48(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm0, %%ymm0\n\t"
"vpbroadcastd 52(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm1, %%ymm1\n\t"
"vpbroadcastd 56(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm2, %%ymm2\n\t"
"vpbroadcastd 60(%[a]), %%ymm14\n\t"
"vpmaddwd %%ymm12, %%ymm14, %%ymm15\n\t"
"vpaddd %%ymm15, %%ymm3, %%ymm3\n\t"
"add $64, %[a]\n\t"
"add $128, %[b]\n\t"
"cmp %[end], %[a]\n\t"
"jb 1b\n\t"
"2:\n\t"
"vpcmpeqd %%ymm13, %%ymm13, %%ymm13\n\t"
"vpsrld $16, %%ymm13, %%ymm13\n\t"
"vpand %%ymm13, %%ymm0, %%ymm0\n\t"
"vpackusdw %%ymm0, %%ymm0, %%ymm0\n\t"
"vpermq $216, %%ymm0, %%ymm0\n\t"
"vmovdqu %%xmm0, 0(%[c])\n\t"
"vpand %%ymm13, %%ymm1, %%ymm1\n\t"
"vpackusdw %%ymm1, %%ymm1, %%ymm1\n\t"
"vpermq $216, %%ymm1, %%ymm1\n\t"
"vmovdqu %%xmm1, 0(%[c],%[s],1)\n\t"
"vpand %%ymm13, %%ymm2, %%ymm2\n\t"
"vpackusdw %%ymm2, %%ymm2, %%ymm2\n\t"
"vpermq $216, %%ymm2, %%ymm2\n\t"
"vmovdqu %%xmm2, 0(%[c],%[s],2)\n\t"
"vpand %%ymm13, %%ymm3, %%ymm3\n\t"
"vpackusdw %%ymm3, %%ymm3, %%ymm3\n\t"
"vpermq $216, %%ymm3, %%ymm3\n\t"
"vmovdqu %%xmm3, 0(%[c3])\n\t"
: [a] "+&r"(a), [b] "+&r"(b)
: [c] "r"(c), [c3] "r"(c3), [s] "r"(stride), [end] "r"(end)
: "cc", "memory", "ymm0", "ymm1", "ymm2", "ymm3", "ymm4", "ymm5", "ymm6", "ymm7", "ymm8", "ymm9", "ymm10", "ymm11", "ymm12", "ymm13", "ymm14", "ymm15");
}
static void base(const U *a,const U *b,U *c,int n) {
int j=0;
for(;j+24<=n;j+=24)
for(int i=0;i<n;i+=4) micro24(a+i*n,b+j*n,c+i*n+j,n);
if(n-j==16)
for(int i=0;i<n;i+=4) micro16(a+i*n,b+j*n,c+i*n+j,n);
if(n-j==8)
for(int i=0;i<n;i+=4) micro8(a+i*n,b+j*n,c+i*n+j,n);
}
template<bool Sub>
static inline void combine(U *d,const U *a,const U *b,int len) {
for(int i=0;i<len;i+=16) {
__m256i x=ld(a+i),y=ld(b+i);
st(d+i,Sub?_mm256_sub_epi16(x,y):_mm256_add_epi16(x,y));
}
}
// At the root, the three completed packed quadrants can be sent straight
// to their final row-major destinations rather than materialized in pc.
template<int N>
static __attribute__((noinline)) void combine3_unpack(
U *d12,U *d21,U *d22,
const U *p6,const U *p7,const U *p5,
const U *p1,const U *p4,const U *p3,int stride) {
if constexpr (N > BASE) {
constexpr int h=N/2,q=h*h;
combine3_unpack<h>(d12,d21,d22,p6,p7,p5,p1,p4,p3,stride);
combine3_unpack<h>(d12+h,d21+h,d22+h,p6+q,p7+q,p5+q,p1+q,p4+q,p3+q,stride);
combine3_unpack<h>(d12+h*stride,d21+h*stride,d22+h*stride,
p6+2*q,p7+2*q,p5+2*q,p1+2*q,p4+2*q,p3+2*q,stride);
combine3_unpack<h>(d12+h*stride+h,d21+h*stride+h,d22+h*stride+h,
p6+3*q,p7+3*q,p5+3*q,p1+3*q,p4+3*q,p3+3*q,stride);
} else {
for(int row=0;row<N;++row) {
const int off=row*N;
U *o12=d12+(size_t)row*stride;
U *o21=d21+(size_t)row*stride;
U *o22=d22+(size_t)row*stride;
for(int col=0;col<N;col+=16) {
int idx=off+col;
__m256i u2=_mm256_add_epi16(ld(p1+idx),ld(p6+idx));
__m256i u3=_mm256_add_epi16(u2,ld(p7+idx));
__m256i v5=ld(p5+idx);
__m256i c12=_mm256_add_epi16(_mm256_add_epi16(u2,v5),ld(p3+idx));
__m256i c21=_mm256_sub_epi16(u3,ld(p4+idx));
__m256i c22=_mm256_add_epi16(u3,v5);
_mm256_stream_si256((__m256i*)(o12+col),c12);
_mm256_stream_si256((__m256i*)(o21+col),c21);
_mm256_stream_si256((__m256i*)(o22+col),c22);
}
}
}
}
// Add the surviving P1 into the root C11 product while mapping its packed
// quadrant layout to the final row-major C11 cells.
template<int N>
static __attribute__((noinline)) void unpack_add(U *d,const U *p2,const U *p1,int stride) {
if constexpr(N>BASE) {
constexpr int h=N/2,q=h*h;
unpack_add<h>(d,p2,p1,stride);
unpack_add<h>(d+h,p2+q,p1+q,stride);
unpack_add<h>(d+h*stride,p2+2*q,p1+2*q,stride);
unpack_add<h>(d+h*stride+h,p2+3*q,p1+3*q,stride);
} else {
for(int row=0;row<N;++row) {
U *o=d+(size_t)row*stride;
int off=row*N;
for(int col=0;col<N;col+=16)
_mm256_stream_si256((__m256i*)(o+col),
_mm256_add_epi16(ld(p2+off+col),ld(p1+off+col)));
}
}
}
// Strassen-Winograd: seven products, fifteen additions, two temporaries.
// All operations are in Z/(2^16); truncation never changes the answer.
template<int N>
static __attribute__((noinline)) void mul(const U *a,const U *b,U *c,U *work) {
if constexpr (N<=BASE) {
base(a,b,c,N);
} else {
constexpr int h=N/2,q=h*h;
const U *a11=a,*a12=a+q,*a21=a+2*q,*a22=a+3*q;
const U *b11=b,*b12=b+q,*b21=b+2*q,*b22=b+3*q;
U *c11=c,*c12=c+q,*c21=c+2*q,*c22=c+3*q;
U *x,*y,*next;
if constexpr (N >= 1024) {
/* s4x_: FUSED combine. Judged per-layer bench (probe, 8 passes over q elements):
q=4M 10.69->9.51, q=1M 10.16->8.79, q=256K 7.76->6.11 (fused wins 11/13.5/21%);
q=65K 3.20->3.87, q=16K 2.63->3.75 (fused loses) => fuse exactly the top three
levels. Each of the eight quadrant sources is read once and all eight versions
are written once (8R+8W) instead of 16R+8W over eight chained passes; the versions
are needed simultaneously anyway (each feeds its own sub-product), so the pass
chain disappears with no change to any arithmetic. P4/P1 write into x4/y1, which
their sub-products (P3/P7) have already consumed. */
U *x1=work,*y1=work+q,*x2=work+2*q,*y2=work+3*q,
*x3=work+4*q,*y3=work+5*q,*x4=work+6*q,*y4=work+7*q;
next=work+8*q;
for(int i=0;i<q;i+=16) {
__m256i a11v=ld(a11+i),a12v=ld(a12+i),a21v=ld(a21+i),a22v=ld(a22+i);
__m256i b11v=ld(b11+i),b12v=ld(b12+i),b21v=ld(b21+i),b22v=ld(b22+i);
/* combine<true> is the SUBTRACT variant (Sub?sub:add): match the source
exactly -- x1=a11-a21, y1=b22-b12, x2=a21+a22, y2=b12-b11,
x3=x2-a11, y3=b22-y2, x4=a12-x3, y4=y3-b21. */
__m256i u1=_mm256_sub_epi16(a11v,a21v), v1=_mm256_sub_epi16(b22v,b12v);
__m256i u2=_mm256_add_epi16(a21v,a22v), v2=_mm256_sub_epi16(b12v,b11v);
__m256i u3=_mm256_sub_epi16(u2,a11v), v3=_mm256_sub_epi16(b22v,v2);
st(x1+i,u1); st(y1+i,v1);
st(x2+i,u2); st(y2+i,v2);
st(x3+i,u3); st(y3+i,v3);
st(x4+i,_mm256_sub_epi16(a12v,u3));
st(y4+i,_mm256_sub_epi16(v3,b21v));
}
mul<h>(x1,y1,c21,next); // P7
mul<h>(x2,y2,c22,next); // P5
mul<h>(x3,y3,c12,next); // P6
mul<h>(x4,b22,c11,next); // P3
mul<h>(a22,y4,x4,next); // P4 (x4 free after P3)
mul<h>(a11,b11,y1,next); // P1 (y1 free after P7)
x=x4; y=y1;
} else {
x=work; y=work+q; next=work+2*q;
combine<true>(x,a11,a21,q);
combine<true>(y,b22,b12,q);
mul<h>(x,y,c21,next); // P7
combine<false>(x,a21,a22,q);
combine<true>(y,b12,b11,q);
mul<h>(x,y,c22,next); // P5
combine<true>(x,x,a11,q);
combine<true>(y,b22,y,q);
mul<h>(x,y,c12,next); // P6
combine<true>(x,a12,x,q);
mul<h>(x,b22,c11,next); // P3
combine<true>(y,y,b21,q);
mul<h>(a22,y,x,next); // P4
mul<h>(a11,b11,y,next); // P1
}
if constexpr (N == 4096) {
combine3_unpack<2048>(final_out+2048,
final_out+(size_t)2048*4096,
final_out+(size_t)2048*4096+2048,
c12,c21,c22,y,x,c11,4096);
} else {
for(int i=0;i<q;i+=16) {
__m256i u2=_mm256_add_epi16(ld(y+i),ld(c12+i));
__m256i u3=_mm256_add_epi16(u2,ld(c21+i));
__m256i p5=ld(c22+i);
st(c12+i,_mm256_add_epi16(_mm256_add_epi16(u2,p5),ld(c11+i)));
st(c21+i,_mm256_sub_epi16(u3,ld(x+i)));
st(c22+i,_mm256_add_epi16(u3,p5));
}
}
mul<h>(a12,b21,c11,next); // P2
if constexpr (N == 4096) unpack_add<2048>(final_out,c11,y,4096);
else combine<false>(c11,c11,y,q);
}
}
void matrix_multiply(int n,const short *A,const short *B,short *C) {
pack(pa,(const U *)A,n,n,false);
pack(pb,(const U *)B,n,n,true);
final_out=(U *)C;
mul<4096>(pa,pb,pc,ws);
_mm_sfence();
}
| Compilation | N/A | N/A | Compile OK | Score: N/A | 显示更多 |
| Testcase #1 | 638.411 ms | 212 MB + 364 KB | Accepted | Score: 100 | 显示更多 |