提交记录 13594


用户 题目 状态 得分 用时 内存 语言 代码长度
saffah mmmd1k. 测测你的双精度矩阵乘法-1k Accepted 100 106.65 ms 8204 KB C++ 8.53 KB
提交时间 评测时间
2020-08-05 17:28:46 2020-08-05 17:28:49
#pragma GCC optimize("Ofast,no-stack-protector")
#pragma GCC target("avx2,fma")
#include <string.h>
#include <x86intrin.h>

#define n 1024
#define idx(i, j) (((i) << 10) + (j))

static void kernel32(long x, long y, long z, const double* __restrict__ A, const double* __restrict__ B, double* __restrict__ C) {
    const long m = 32;
    for (long k = 0; k < 2; ++k, z += 16) {
        for (long j = 0; j < 5; ++j, y += 5) {
            __m256d b00 = _mm256_load_pd(&B[idx(y + 0, z + 4 * 0)]);
            __m256d b01 = _mm256_load_pd(&B[idx(y + 0, z + 4 * 1)]);
            __m256d b02 = _mm256_load_pd(&B[idx(y + 0, z + 4 * 2)]);
            __m256d b03 = _mm256_load_pd(&B[idx(y + 0, z + 4 * 3)]);
            __m256d b10 = _mm256_load_pd(&B[idx(y + 1, z + 4 * 0)]);
            __m256d b11 = _mm256_load_pd(&B[idx(y + 1, z + 4 * 1)]);
            __m256d b12 = _mm256_load_pd(&B[idx(y + 1, z + 4 * 2)]);
            __m256d b13 = _mm256_load_pd(&B[idx(y + 1, z + 4 * 3)]);
            __m256d b20 = _mm256_load_pd(&B[idx(y + 2, z + 4 * 0)]);
            __m256d b21 = _mm256_load_pd(&B[idx(y + 2, z + 4 * 1)]);
            __m256d b22 = _mm256_load_pd(&B[idx(y + 2, z + 4 * 2)]);
            __m256d b23 = _mm256_load_pd(&B[idx(y + 2, z + 4 * 3)]);
            __m256d b30 = _mm256_load_pd(&B[idx(y + 3, z + 4 * 0)]);
            __m256d b31 = _mm256_load_pd(&B[idx(y + 3, z + 4 * 1)]);
            __m256d b32 = _mm256_load_pd(&B[idx(y + 3, z + 4 * 2)]);
            __m256d b33 = _mm256_load_pd(&B[idx(y + 3, z + 4 * 3)]);
            __m256d b40 = _mm256_load_pd(&B[idx(y + 4, z + 4 * 0)]);
            __m256d b41 = _mm256_load_pd(&B[idx(y + 4, z + 4 * 1)]);
            __m256d b42 = _mm256_load_pd(&B[idx(y + 4, z + 4 * 2)]);
            __m256d b43 = _mm256_load_pd(&B[idx(y + 4, z + 4 * 3)]);
            for (long i = 0; i < m; ++i) {
                __m256d c0 = _mm256_load_pd(&C[idx(x + i, z + 4 * 0)]);
                __m256d c1 = _mm256_load_pd(&C[idx(x + i, z + 4 * 1)]);
                __m256d c2 = _mm256_load_pd(&C[idx(x + i, z + 4 * 2)]);
                __m256d c3 = _mm256_load_pd(&C[idx(x + i, z + 4 * 3)]);
                __m256d a;
                a = _mm256_set1_pd(A[idx(x + i, y + 0)]);
                c0 += a * b00;
                c1 += a * b01;
                c2 += a * b02;
                c3 += a * b03;
                a = _mm256_set1_pd(A[idx(x + i, y + 1)]);
                c0 += a * b10;
                c1 += a * b11;
                c2 += a * b12;
                c3 += a * b13;
                a = _mm256_set1_pd(A[idx(x + i, y + 2)]);
                c0 += a * b20;
                c1 += a * b21;
                c2 += a * b22;
                c3 += a * b23;
                a = _mm256_set1_pd(A[idx(x + i, y + 3)]);
                c0 += a * b30;
                c1 += a * b31;
                c2 += a * b32;
                c3 += a * b33;
                a = _mm256_set1_pd(A[idx(x + i, y + 4)]);
                c0 += a * b40;
                c1 += a * b41;
                c2 += a * b42;
                c3 += a * b43;
                _mm256_store_pd(&C[idx(x + i, z + 4 * 0)], c0);
                _mm256_store_pd(&C[idx(x + i, z + 4 * 1)], c1);
                _mm256_store_pd(&C[idx(x + i, z + 4 * 2)], c2);
                _mm256_store_pd(&C[idx(x + i, z + 4 * 3)], c3);
            }
        }
        __m256d b00 = _mm256_load_pd(&B[idx(y + 0, z + 4 * 0)]);
        __m256d b01 = _mm256_load_pd(&B[idx(y + 0, z + 4 * 1)]);
        __m256d b02 = _mm256_load_pd(&B[idx(y + 0, z + 4 * 2)]);
        __m256d b03 = _mm256_load_pd(&B[idx(y + 0, z + 4 * 3)]);
        __m256d b10 = _mm256_load_pd(&B[idx(y + 1, z + 4 * 0)]);
        __m256d b11 = _mm256_load_pd(&B[idx(y + 1, z + 4 * 1)]);
        __m256d b12 = _mm256_load_pd(&B[idx(y + 1, z + 4 * 2)]);
        __m256d b13 = _mm256_load_pd(&B[idx(y + 1, z + 4 * 3)]);
        __m256d b20 = _mm256_load_pd(&B[idx(y + 2, z + 4 * 0)]);
        __m256d b21 = _mm256_load_pd(&B[idx(y + 2, z + 4 * 1)]);
        __m256d b22 = _mm256_load_pd(&B[idx(y + 2, z + 4 * 2)]);
        __m256d b23 = _mm256_load_pd(&B[idx(y + 2, z + 4 * 3)]);
        __m256d b30 = _mm256_load_pd(&B[idx(y + 3, z + 4 * 0)]);
        __m256d b31 = _mm256_load_pd(&B[idx(y + 3, z + 4 * 1)]);
        __m256d b32 = _mm256_load_pd(&B[idx(y + 3, z + 4 * 2)]);
        __m256d b33 = _mm256_load_pd(&B[idx(y + 3, z + 4 * 3)]);
        __m256d b40 = _mm256_load_pd(&B[idx(y + 4, z + 4 * 0)]);
        __m256d b41 = _mm256_load_pd(&B[idx(y + 4, z + 4 * 1)]);
        __m256d b42 = _mm256_load_pd(&B[idx(y + 4, z + 4 * 2)]);
        __m256d b43 = _mm256_load_pd(&B[idx(y + 4, z + 4 * 3)]);
        __m256d b50 = _mm256_load_pd(&B[idx(y + 5, z + 4 * 0)]);
        __m256d b51 = _mm256_load_pd(&B[idx(y + 5, z + 4 * 1)]);
        __m256d b52 = _mm256_load_pd(&B[idx(y + 5, z + 4 * 2)]);
        __m256d b53 = _mm256_load_pd(&B[idx(y + 5, z + 4 * 3)]);
        __m256d b60 = _mm256_load_pd(&B[idx(y + 6, z + 4 * 0)]);
        __m256d b61 = _mm256_load_pd(&B[idx(y + 6, z + 4 * 1)]);
        __m256d b62 = _mm256_load_pd(&B[idx(y + 6, z + 4 * 2)]);
        __m256d b63 = _mm256_load_pd(&B[idx(y + 6, z + 4 * 3)]);
        for (long i = 0; i < m; ++i) {
            __m256d c0 = _mm256_load_pd(&C[idx(x + i, z + 4 * 0)]);
            __m256d c1 = _mm256_load_pd(&C[idx(x + i, z + 4 * 1)]);
            __m256d c2 = _mm256_load_pd(&C[idx(x + i, z + 4 * 2)]);
            __m256d c3 = _mm256_load_pd(&C[idx(x + i, z + 4 * 3)]);
            __m256d a;
            a = _mm256_set1_pd(A[idx(x + i, y + 0)]);
            c0 += a * b00;
            c1 += a * b01;
            c2 += a * b02;
            c3 += a * b03;
            a = _mm256_set1_pd(A[idx(x + i, y + 1)]);
            c0 += a * b10;
            c1 += a * b11;
            c2 += a * b12;
            c3 += a * b13;
            a = _mm256_set1_pd(A[idx(x + i, y + 2)]);
            c0 += a * b20;
            c1 += a * b21;
            c2 += a * b22;
            c3 += a * b23;
            a = _mm256_set1_pd(A[idx(x + i, y + 3)]);
            c0 += a * b30;
            c1 += a * b31;
            c2 += a * b32;
            c3 += a * b33;
            a = _mm256_set1_pd(A[idx(x + i, y + 4)]);
            c0 += a * b40;
            c1 += a * b41;
            c2 += a * b42;
            c3 += a * b43;
            a = _mm256_set1_pd(A[idx(x + i, y + 5)]);
            c0 += a * b50;
            c1 += a * b51;
            c2 += a * b52;
            c3 += a * b53;
            a = _mm256_set1_pd(A[idx(x + i, y + 6)]);
            c0 += a * b60;
            c1 += a * b61;
            c2 += a * b62;
            c3 += a * b63;
            _mm256_store_pd(&C[idx(x + i, z + 4 * 0)], c0);
            _mm256_store_pd(&C[idx(x + i, z + 4 * 1)], c1);
            _mm256_store_pd(&C[idx(x + i, z + 4 * 2)], c2);
            _mm256_store_pd(&C[idx(x + i, z + 4 * 3)], c3);
        }
        y -= 25;
    }
}

static void gao(int s, int x, int y, int z, int dx, int dy, int dz, int dx2, int dy2, int dz2, int dx3, int dy3, int dz3, const double* __restrict__ A, const double* __restrict__ B, double* __restrict__ C) {
    if (s == 5) {
        kernel32(x, y, z, A, B, C);
        return;
    }
    --s;
    if (dx < 0) x -= dx << s;
    if (dy < 0) y -= dy << s;
    if (dz < 0) z -= dz << s;
    if (dx2 < 0) x -= dx2 << s;
    if (dy2 < 0) y -= dy2 << s;
    if (dz2 < 0) z -= dz2 << s;
    if (dx3 < 0) x -= dx3 << s;
    if (dy3 < 0) y -= dy3 << s;
    if (dz3 < 0) z -= dz3 << s;
    gao(s, x, y, z, dx2, dy2, dz2, dx3, dy3, dz3, dx, dy, dz, A, B, C);
    gao(s, x + (dx << s), y + (dy << s), z + (dz << s), dx3, dy3, dz3, dx, dy, dz, dx2, dy2, dz2, A, B, C);
    gao(s, x + (dx << s) + (dx2 << s), y + (dy << s) + (dy2 << s), z + (dz << s) + (dz2 << s), dx3, dy3, dz3, dx, dy, dz, dx2, dy2, dz2, A, B, C);
    gao(s, x + (dx2 << s), y + (dy2 << s), z + (dz2 << s), -dx, -dy, -dz, -dx2, -dy2, -dz2, dx3, dy3, dz3, A, B, C);
    gao(s, x + (dx2 << s) + (dx3 << s), y + (dy2 << s) + (dy3 << s), z + (dz2 << s) + (dz3 << s), -dx, -dy, -dz, -dx2, -dy2, -dz2, dx3, dy3, dz3, A, B, C);
    gao(s, x + (dx << s) + (dx2 << s) + (dx3 << s), y + (dy << s) + (dy2 << s) + (dy3 << s), z + (dz << s) + (dz2 << s) + (dz3 << s), -dx3, -dy3, -dz3, dx, dy, dz, -dx2, -dy2, -dz2, A, B, C);
    gao(s, x + (dx << s) + (dx3 << s), y + (dy << s) + (dy3 << s), z + (dz << s) + (dz3 << s), -dx3, -dy3, -dz3, dx, dy, dz, -dx2, -dy2, -dz2, A, B, C);
    gao(s, x + (dx3 << s), y + (dy3 << s), z + (dz3 << s), dx2, dy2, dz2, -dx3, -dy3, -dz3, -dx, -dy, -dz, A, B, C);
}
void matrix_multiply(int, const double* A, const double* B, double* C) {
    memset(C, 0, 1024 * 1024 * sizeof(double));
    gao(10, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, A, B, C);
}

CompilationN/AN/ACompile OKScore: N/A

Testcase #1106.65 ms8 MB + 12 KBAcceptedScore: 100


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