/*******************************************************************************
* Copyright 2017-2022 Intel Corporation
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
*     http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*******************************************************************************/

#include <atomic>
#include <cmath>
#include <memory>
#include <mutex>

#include "common/dnnl_thread.hpp"
#include "common/utils.hpp"

#include "cpu/platform.hpp"

#include "cpu/gemm/f32/gemm_utils_f32.hpp"
#include "cpu/gemm/f32/ref_gemm_f32.hpp"
#include "cpu/gemm/gemm_msan_unpoison.hpp"

#include "cpu/x64/jit_generator.hpp"

#include "cpu/x64/gemm/gemm_driver.hpp"

#include "cpu/x64/gemm/f32/jit_avx512_common_gemm_f32.hpp"

namespace dnnl {
namespace impl {
namespace cpu {
namespace x64 {

#define CACHE_LINE_SIZE 64

#define STACKSIZE get_size_of_abi_save_regs()
#ifdef _WIN32
#define STACK_CAPACITY 6400
#else
// Roughly 4 4kB pages for kernel.
#define STACK_CAPACITY (4 * PAGE_4K)
#endif
#define SIZE 4
#define OFFSET 128
#define BASE_SHIFT 2
#define SECOND_FETCH unroll_n
#define UNROLL_M 48
#define UNROLL_N 8

namespace avx512_common_gemm_f32 {
using namespace gemm_utils;

struct xbyak_gemm_t : public jit_generator {
    DECLARE_CPU_JIT_AUX_FUNCTIONS(jit_avx512_common_gemm_f32_xbyak_gemm)

    xbyak_gemm_t(char isTransA, char isTransB, float beta, bool hasBias = false,
            void *code_ptr = nullptr,
            size_t code_size = 80 * Xbyak::DEFAULT_MAX_CODE_SIZE)
        : jit_generator(code_ptr, code_size)
        , isTransA(isTransA)
        , isTransB(isTransB)
        , beta(beta)
        , hasBias(hasBias)
        , STACK_K_CAPACITY((STACK_CAPACITY - 256) / (SIZE * UNROLL_M)) {}

    void generate() override ATTRIBUTE_OPTIMIZE {
        using namespace Xbyak;
        bool isBeta0 = (beta == 0.0);
        bool isBetaN = (!isBeta0 && beta != 1.0);

        // various definitions for convenience
        auto ARG_M = abi_param1;
        auto ARG_N = abi_param2;
        auto K = abi_param3;
        auto ARG_ALPHA = abi_param4;
#ifdef _WIN32
        auto ARG_A = ptr[rsp + OFFSET_SHADOWSPACE + STACKSIZE];
        auto ARG_LDA
                = qword[rsp + OFFSET_SHADOWSPACE + sizeof(float *) + STACKSIZE];
        const auto stackOffset
                = OFFSET_SHADOWSPACE + sizeof(float *) + STACKSIZE;
        auto A = rsi;
        auto LDA = rdi;
#else
        auto ARG_A = r8;
        auto ARG_LDA = r9;
        const auto stackOffset = STACKSIZE;
        auto A = ARG_A;
        auto LDA = ARG_LDA;
#endif
        auto ARG_B = ptr[rsp + 8 + stackOffset];
        auto ARG_LDB = ptr[rsp + 16 + stackOffset];
        auto ARG_BETA = ptr[rsp + 24 + stackOffset];
        auto ARG_C = ptr[rsp + 32 + stackOffset];
        auto ARG_LDC = ptr[rsp + 40 + stackOffset];
        auto ARG_BIAS = ptr[rsp + 48 + stackOffset];
        auto ARG_WS = ptr[rsp + 56 + stackOffset];

        auto B = r11;
        auto LDB = rbx;
        auto LDC = r13;
        auto LL = rax;
        auto AO1 = abi_param2;
        auto BO1 = abi_param4;
        auto BO2 = rbp;
        auto CO1 = r14;
        auto CO2 = r15;
        auto LDB3 = r10;
        auto LDA4 = abi_param1;
        auto AA = r12;
        auto BIAS1 = abi_param1;

        auto M = qword[rsp + 0];
        auto N = qword[rsp + 8];
        auto FLAG = qword[rsp + 16];
        auto I = qword[rsp + 24];
        auto C = qword[rsp + 32];
        auto BIAS = qword[rsp + 40];
        auto ALPHA = qword[rsp + 48];
        auto BETA = qword[rsp + 64];
        auto ORIG_A = qword[rsp + 80];
        auto ORIG_SP = qword[rsp + 120];

        auto ZSTRIDE = zmm4;
        auto VALPHA = zmm6;
        auto VBETA = zmm7;
        auto VBIAS1 = zmm1;
        auto VBIAS2 = zmm2;
        auto VBIAS3 = zmm3;

        auto PREFETCHSIZEA = 48;
        auto PREFETCHSIZEB = 16;

        Zmm regs[] = {zmm8, zmm9, zmm10, zmm11, zmm12, zmm13, zmm14, zmm15,
                zmm16, zmm17, zmm18, zmm19, zmm20, zmm21, zmm22, zmm23, zmm24,
                zmm25, zmm26, zmm27, zmm28, zmm29, zmm30, zmm31};

        // Function for packing if needed
        auto do_pack = [&](int unroll_m) {
            Label pack2, pack3, pack4, pack10;

            mov(BO1, A);
            lea(AO1, ptr[rsp + 128 + OFFSET * SIZE]);
            mov(LL, K);
            sar(LL, 2);
            jle(pack3, T_NEAR);
            align(16);

            L(pack2);
            if (!isTransA) {
                for (int i = 0; i < 4; i++) {
                    vmovups(zmm0 | k1, ptr[BO1 + (0 * 16 - OFFSET) * SIZE]);
                    if (unroll_m > 16)
                        vmovups(zmm1 | k2, ptr[BO1 + (1 * 16 - OFFSET) * SIZE]);
                    if (unroll_m > 32)
                        vmovups(zmm2 | k3, ptr[BO1 + (2 * 16 - OFFSET) * SIZE]);
                    add(BO1, LDA);

                    vmovups(ptr[AO1 + (unroll_m * i + 0 * 16 - OFFSET) * SIZE]
                                    | k1,
                            zmm0);
                    if (unroll_m > 16)
                        vmovups(ptr[AO1
                                        + (unroll_m * i + 1 * 16 - OFFSET)
                                                * SIZE]
                                        | k2,
                                zmm1);
                    if (unroll_m > 32)
                        vmovups(ptr[AO1
                                        + (unroll_m * i + 2 * 16 - OFFSET)
                                                * SIZE]
                                        | k3,
                                zmm2);
                }
            } else {
                for (int i = 0; i < 4; i++) {
                    kmovw(k4, k1);
                    vgatherqps(ymm5 | k4,
                            ptr[BO1 + ZSTRIDE + (i - OFFSET) * SIZE]);
                    lea(BO2, ptr[BO1 + LDA * 8]);
                    kshiftrw(k4, k1, 8);
                    vgatherqps(ymm6 | k4,
                            ptr[BO2 + ZSTRIDE + (i - OFFSET) * SIZE]);
                    vshuff64x2(zmm0, zmm5, zmm6, 0x44);

                    if (unroll_m > 16) {
                        lea(BO2, ptr[BO2 + LDA * 8]);
                        kmovw(k4, k2);
                        vgatherqps(ymm5 | k4,
                                ptr[BO2 + ZSTRIDE + (i - OFFSET) * SIZE]);
                        lea(BO2, ptr[BO2 + LDA * 8]);
                        kshiftrw(k4, k2, 8);
                        vgatherqps(ymm6 | k4,
                                ptr[BO2 + ZSTRIDE + (i - OFFSET) * SIZE]);
                        vshuff64x2(zmm1, zmm5, zmm6, 0x44);
                    }

                    if (unroll_m > 32) {
                        lea(BO2, ptr[BO2 + LDA * 8]);
                        kmovw(k4, k3);
                        vgatherqps(ymm5 | k4,
                                ptr[BO2 + ZSTRIDE + (i - OFFSET) * SIZE]);
                        lea(BO2, ptr[BO2 + LDA * 8]);
                        kshiftrw(k4, k3, 8);
                        vgatherqps(ymm6 | k4,
                                ptr[BO2 + ZSTRIDE + (i - OFFSET) * SIZE]);
                        lea(BO2, ptr[BO2 + LDA * 8]);
                        vshuff64x2(zmm2, zmm5, zmm6, 0x44);
                    }

                    vmovups(ptr[AO1 + (unroll_m * i + 0 * 16 - OFFSET) * SIZE],
                            zmm0 | k1);
                    if (unroll_m > 16)
                        vmovups(ptr[AO1
                                        + (unroll_m * i + 1 * 16 - OFFSET)
                                                * SIZE],
                                zmm1 | k2);
                    if (unroll_m > 32)
                        vmovups(ptr[AO1
                                        + (unroll_m * i + 2 * 16 - OFFSET)
                                                * SIZE],
                                zmm2 | k3);
                }
                add(BO1, 4 * SIZE);
            }
            add(AO1, unroll_m * 4 * SIZE);

            sub(LL, 1);
            jg(pack2, T_NEAR);
            align(16);

            L(pack3);
            mov(LL, K);
            and_(LL, 3);
            jle(pack10, T_NEAR);
            align(16);

            L(pack4);
            if (!isTransA) {
                vmovups(zmm0 | k1, ptr[BO1 + (0 * 16 - OFFSET) * SIZE]);
                if (unroll_m > 16)
                    vmovups(zmm1 | k2, ptr[BO1 + (1 * 16 - OFFSET) * SIZE]);
                if (unroll_m > 32)
                    vmovups(zmm2 | k3, ptr[BO1 + (2 * 16 - OFFSET) * SIZE]);
                add(BO1, LDA);
            } else {
                kmovw(k4, k1);
                vgatherqps(ymm5 | k4, ptr[BO1 + ZSTRIDE + (0 - OFFSET) * SIZE]);
                lea(BO2, ptr[BO1 + LDA * 8]);
                kshiftrw(k4, k1, 8);
                vgatherqps(ymm6 | k4, ptr[BO2 + ZSTRIDE + (0 - OFFSET) * SIZE]);
                vshuff64x2(zmm0, zmm5, zmm6, 0x44);

                if (unroll_m > 16) {
                    lea(BO2, ptr[BO2 + LDA * 8]);
                    kmovw(k4, k2);
                    vgatherqps(ymm5 | k4,
                            ptr[BO2 + ZSTRIDE + (0 - OFFSET) * SIZE]);
                    lea(BO2, ptr[BO2 + LDA * 8]);
                    kshiftrw(k4, k2, 8);
                    vgatherqps(ymm6 | k4,
                            ptr[BO2 + ZSTRIDE + (0 - OFFSET) * SIZE]);
                    vshuff64x2(zmm1, zmm5, zmm6, 0x44);
                }

                if (unroll_m > 32) {
                    lea(BO2, ptr[BO2 + LDA * 8]);
                    kmovw(k4, k3);
                    vgatherqps(ymm5 | k4,
                            ptr[BO2 + ZSTRIDE + (0 - OFFSET) * SIZE]);
                    lea(BO2, ptr[BO2 + LDA * 8]);
                    kshiftrw(k4, k3, 8);
                    vgatherqps(ymm6 | k4,
                            ptr[BO2 + ZSTRIDE + (0 - OFFSET) * SIZE]);
                    lea(BO2, ptr[BO2 + LDA * 8]);
                    vshuff64x2(zmm2, zmm5, zmm6, 0x44);
                }
                add(BO1, SIZE);
            }

            vmovups(ptr[AO1 + (unroll_m * 0 + 0 * 16 - OFFSET) * SIZE],
                    zmm0 | k1);
            if (unroll_m > 16)
                vmovups(ptr[AO1 + (unroll_m * 0 + 1 * 16 - OFFSET) * SIZE],
                        zmm1 | k2);
            if (unroll_m > 32)
                vmovups(ptr[AO1 + (unroll_m * 0 + 2 * 16 - OFFSET) * SIZE],
                        zmm2 | k3);

            add(AO1, unroll_m * SIZE);
            sub(LL, 1);
            jg(pack4, T_NEAR);
            align(16);

            L(pack10);
        };

        // Function to update C, covering masking and other considerations
        auto update = [&](Zmm reg, bool useCO1, int offset, int mask,
                              bool useScale = false) {
            vmulps(reg, reg, VALPHA);
            if (!isBeta0) {
                if (!useScale) {
                    switch (mask) {
                        case 0:
                            if (useCO1)
                                vmovups(zmm0, ptr[CO1 + offset * SIZE]);
                            else
                                vmovups(zmm0, ptr[CO2 + offset * SIZE]);
                            break;
                        case 1:
                            if (useCO1)
                                vmovups(zmm0 | k1 | T_z,
                                        ptr[CO1 + offset * SIZE]);
                            else
                                vmovups(zmm0 | k1 | T_z,
                                        ptr[CO2 + offset * SIZE]);
                            break;
                        case 2:
                            if (useCO1)
                                vmovups(zmm0 | k2 | T_z,
                                        ptr[CO1 + offset * SIZE]);
                            else
                                vmovups(zmm0 | k2 | T_z,
                                        ptr[CO2 + offset * SIZE]);
                            break;
                        case 3:
                            if (useCO1)
                                vmovups(zmm0 | k3 | T_z,
                                        ptr[CO1 + offset * SIZE]);
                            else
                                vmovups(zmm0 | k3 | T_z,
                                        ptr[CO2 + offset * SIZE]);
                            break;
                    }
                } else {
                    switch (mask) {
                        case 0:
                            if (useCO1)
                                vmovups(zmm0, ptr[CO1 + LDC + offset * SIZE]);
                            else
                                vmovups(zmm0, ptr[CO2 + LDC + offset * SIZE]);
                            break;
                        case 1:
                            if (useCO1)
                                vmovups(zmm0 | k1 | T_z,
                                        ptr[CO1 + LDC + offset * SIZE]);
                            else
                                vmovups(zmm0 | k1 | T_z,
                                        ptr[CO2 + LDC + offset * SIZE]);
                            break;
                        case 2:
                            if (useCO1)
                                vmovups(zmm0 | k2 | T_z,
                                        ptr[CO1 + LDC + offset * SIZE]);
                            else
                                vmovups(zmm0 | k2 | T_z,
                                        ptr[CO2 + LDC + offset * SIZE]);
                            break;
                        case 3:
                            if (useCO1)
                                vmovups(zmm0 | k3 | T_z,
                                        ptr[CO1 + LDC + offset * SIZE]);
                            else
                                vmovups(zmm0 | k3 | T_z,
                                        ptr[CO2 + LDC + offset * SIZE]);
                            break;
                    }
                }
                if (!isBetaN) {
                    vaddps(zmm0, reg, zmm0);
                } else {
                    vfmadd132ps(zmm0, reg, VBETA);
                }
                if (!useScale) {
                    switch (mask) {
                        case 0:
                            if (useCO1)
                                vmovups(ptr[CO1 + offset * SIZE], zmm0);
                            else
                                vmovups(ptr[CO2 + offset * SIZE], zmm0);
                            break;
                        case 1:
                            if (useCO1)
                                vmovups(ptr[CO1 + offset * SIZE], zmm0 | k1);
                            else
                                vmovups(ptr[CO2 + offset * SIZE], zmm0 | k1);
                            break;
                        case 2:
                            if (useCO1)
                                vmovups(ptr[CO1 + offset * SIZE], zmm0 | k2);
                            else
                                vmovups(ptr[CO2 + offset * SIZE], zmm0 | k2);
                            break;
                        case 3:
                            if (useCO1)
                                vmovups(ptr[CO1 + offset * SIZE], zmm0 | k3);
                            else
                                vmovups(ptr[CO2 + offset * SIZE], zmm0 | k3);
                            break;
                    }
                } else {
                    switch (mask) {
                        case 0:
                            if (useCO1)
                                vmovups(ptr[CO1 + LDC + offset * SIZE], zmm0);
                            else
                                vmovups(ptr[CO2 + LDC + offset * SIZE], zmm0);
                            break;
                        case 1:
                            if (useCO1)
                                vmovups(ptr[CO1 + LDC + offset * SIZE],
                                        zmm0 | k1);
                            else
                                vmovups(ptr[CO2 + LDC + offset * SIZE],
                                        zmm0 | k1);
                            break;
                        case 2:
                            if (useCO1)
                                vmovups(ptr[CO1 + LDC + offset * SIZE],
                                        zmm0 | k2);
                            else
                                vmovups(ptr[CO2 + LDC + offset * SIZE],
                                        zmm0 | k2);
                            break;
                        case 3:
                            if (useCO1)
                                vmovups(ptr[CO1 + LDC + offset * SIZE],
                                        zmm0 | k3);
                            else
                                vmovups(ptr[CO2 + LDC + offset * SIZE],
                                        zmm0 | k3);
                            break;
                    }
                }
            } else {
                if (!useScale) {
                    switch (mask) {
                        case 0:
                            if (useCO1)
                                vmovups(ptr[CO1 + offset * SIZE], reg);
                            else
                                vmovups(ptr[CO2 + offset * SIZE], reg);
                            break;
                        case 1:
                            if (useCO1)
                                vmovups(ptr[CO1 + offset * SIZE], reg | k1);
                            else
                                vmovups(ptr[CO2 + offset * SIZE], reg | k1);
                            break;
                        case 2:
                            if (useCO1)
                                vmovups(ptr[CO1 + offset * SIZE], reg | k2);
                            else
                                vmovups(ptr[CO2 + offset * SIZE], reg | k2);
                            break;
                        case 3:
                            if (useCO1)
                                vmovups(ptr[CO1 + offset * SIZE], reg | k3);
                            else
                                vmovups(ptr[CO2 + offset * SIZE], reg | k3);
                            break;
                    }
                } else {
                    switch (mask) {
                        case 0:
                            if (useCO1)
                                vmovups(ptr[CO1 + LDC + offset * SIZE], reg);
                            else
                                vmovups(ptr[CO2 + LDC + offset * SIZE], reg);
                            break;
                        case 1:
                            if (useCO1)
                                vmovups(ptr[CO1 + LDC + offset * SIZE],
                                        reg | k1);
                            else
                                vmovups(ptr[CO2 + LDC + offset * SIZE],
                                        reg | k1);
                            break;
                        case 2:
                            if (useCO1)
                                vmovups(ptr[CO1 + LDC + offset * SIZE],
                                        reg | k2);
                            else
                                vmovups(ptr[CO2 + LDC + offset * SIZE],
                                        reg | k2);
                            break;
                        case 3:
                            if (useCO1)
                                vmovups(ptr[CO1 + LDC + offset * SIZE],
                                        reg | k3);
                            else
                                vmovups(ptr[CO2 + LDC + offset * SIZE],
                                        reg | k3);
                            break;
                    }
                }
            }
            vpxorq(reg, reg, reg);
        };

        // Loop with unroll_n - 2 FMAs; called by innerkernel
        auto fmaloop = [&](int unroll_m, int unroll_n, int iteration) {
            for (int i = 2; i < unroll_n; i++) {
                if (!isTransB) {
                    switch (i) {
                        case 2:
                            vbroadcastss(zmm3,
                                    ptr[BO1 + LDB * 2
                                            + (iteration - OFFSET) * SIZE]);
                            break;
                        case 3:
                            vbroadcastss(zmm3,
                                    ptr[BO1 + LDB3
                                            + (iteration - OFFSET) * SIZE]);
                            break;
                        case 4:
                            vbroadcastss(zmm3,
                                    ptr[BO2 + (iteration - OFFSET) * SIZE]);
                            break;
                        case 5:
                            vbroadcastss(zmm3,
                                    ptr[BO2 + LDB * 1
                                            + (iteration - OFFSET) * SIZE]);
                            break;
                        case 6:
                            vbroadcastss(zmm3,
                                    ptr[BO2 + LDB * 2
                                            + (iteration - OFFSET) * SIZE]);
                            break;
                        case 7:
                            vbroadcastss(zmm3,
                                    ptr[BO2 + LDB3
                                            + (iteration - OFFSET) * SIZE]);
                            break;
                    }
                } else {
                    vbroadcastss(zmm3, ptr[BO1 + (i - OFFSET) * SIZE]);
                }
                vfmadd231ps(regs[i], zmm3, zmm0);
                if (unroll_m >= 32) vfmadd231ps(regs[i + 8], zmm3, zmm1);
                if (unroll_m >= 48) vfmadd231ps(regs[i + 16], zmm3, zmm2);
            }
        };

        // Innerkernel; called by kernel
        auto innerkernel = [&](int unroll_m, int unroll_n, bool isDirect,
                                   bool isCopy, bool doCPrefetch,
                                   bool isUnmasked = true) {
            for (int i = 0; i < 8; i++) {
                if (!isDirect) {
                    prefetcht0(ptr[AO1
                            + (PREFETCHSIZEA + i * unroll_m + 0 * 16 - OFFSET)
                                    * SIZE]);
                    if (unroll_m >= 32)
                        prefetcht0(ptr[AO1
                                + (PREFETCHSIZEA + i * unroll_m + 1 * 16
                                          - OFFSET)
                                        * SIZE]);
                    if (unroll_m >= 48)
                        prefetcht0(ptr[AO1
                                + (PREFETCHSIZEA + i * unroll_m + 2 * 16
                                          - OFFSET)
                                        * SIZE]);
                } else {
                    prefetcht0(ptr[AO1 + LDA4 + (16 * 0 * SIZE)]);
                    if (unroll_m >= 32)
                        prefetcht0(ptr[AO1 + LDA4 + (16 * 1 * SIZE)]);
                    if (unroll_m >= 48)
                        prefetcht0(ptr[AO1 + LDA4 + (16 * 2 * SIZE)]);
                }

                if (!isDirect) {
                    if (i != 0) {
                        if (isUnmasked || unroll_m > 16) {
                            vmovups(zmm0,
                                    ptr[AO1
                                            + (unroll_m * i + 0 * 16 - OFFSET)
                                                    * SIZE]);
                        } else {
                            vmovups(zmm0 | k1 | T_z,
                                    ptr[AO1
                                            + (unroll_m * i + 0 * 16 - OFFSET)
                                                    * SIZE]);
                        }
                        if (unroll_m >= 32) {
                            if (isUnmasked || unroll_m > 32) {
                                vmovups(zmm1,
                                        ptr[AO1
                                                + (unroll_m * i + 1 * 16
                                                          - OFFSET)
                                                        * SIZE]);
                            } else {
                                vmovups(zmm1 | k2 | T_z,
                                        ptr[AO1
                                                + (unroll_m * i + 1 * 16
                                                          - OFFSET)
                                                        * SIZE]);
                            }
                        }
                        if (unroll_m >= 48) {
                            if (isUnmasked) {
                                vmovups(zmm2,
                                        ptr[AO1
                                                + (unroll_m * i + 2 * 16
                                                          - OFFSET)
                                                        * SIZE]);
                            } else {
                                vmovups(zmm2 | k3 | T_z,
                                        ptr[AO1
                                                + (unroll_m * i + 2 * 16
                                                          - OFFSET)
                                                        * SIZE]);
                            }
                        }
                    }
                } else {
                    if (isUnmasked || unroll_m > 16) {
                        vmovups(zmm0, ptr[AO1 + (0 * 16 - OFFSET) * SIZE]);
                    } else {
                        vmovups(zmm0 | k1 | T_z,
                                ptr[AO1 + (0 * 16 - OFFSET) * SIZE]);
                    }
                    if (unroll_m >= 32) {
                        if (isUnmasked || unroll_m > 32) {
                            vmovups(zmm1, ptr[AO1 + (1 * 16 - OFFSET) * SIZE]);
                        } else {
                            vmovups(zmm1 | k2 | T_z,
                                    ptr[AO1 + (1 * 16 - OFFSET) * SIZE]);
                        }
                    }
                    if (unroll_m >= 48) {
                        if (isUnmasked) {
                            vmovups(zmm2, ptr[AO1 + (2 * 16 - OFFSET) * SIZE]);
                        } else {
                            vmovups(zmm2 | k3 | T_z,
                                    ptr[AO1 + (2 * 16 - OFFSET) * SIZE]);
                        }
                    }
                    add(AO1, LDA);
                }

                if (!isTransB) {
                    vbroadcastss(zmm3, ptr[BO1 + (i - OFFSET) * SIZE]);
                } else {
                    vbroadcastss(zmm3, ptr[BO1 + (0 - OFFSET) * SIZE]);
                }
                vfmadd231ps(regs[0], zmm3, zmm0);
                if (unroll_m >= 32) vfmadd231ps(regs[0 + 8], zmm3, zmm1);
                if (unroll_m >= 48) vfmadd231ps(regs[0 + 16], zmm3, zmm2);

                if (unroll_n >= i + 1) {
                    if (!isTransB) {
                        switch (i) {
                            case 0:
                                prefetcht0(ptr[BO1
                                        + (PREFETCHSIZEB - OFFSET) * SIZE]);
                                break;
                            case 1:
                                prefetcht0(ptr[BO1 + LDB
                                        + (PREFETCHSIZEB - OFFSET) * SIZE]);
                                break;
                            case 2:
                                prefetcht0(ptr[BO1 + LDB * 2
                                        + (PREFETCHSIZEB - OFFSET) * SIZE]);
                                break;
                            case 3:
                                prefetcht0(ptr[BO1 + LDB3
                                        + (PREFETCHSIZEB - OFFSET) * SIZE]);
                                break;
                            case 4:
                                prefetcht0(ptr[BO2
                                        + (PREFETCHSIZEB - OFFSET) * SIZE]);
                                break;
                            case 5:
                                prefetcht0(ptr[BO2 + LDB
                                        + (PREFETCHSIZEB - OFFSET) * SIZE]);
                                break;
                            case 6:
                                prefetcht0(ptr[BO2 + LDB * 2
                                        + (PREFETCHSIZEB - OFFSET) * SIZE]);
                                break;
                            case 7:
                                prefetcht0(ptr[BO2 + LDB3
                                        + (PREFETCHSIZEB - OFFSET) * SIZE]);
                                break;
                        }
                    }
                }

                if (unroll_n >= 2) {
                    if (!isTransB) {
                        vbroadcastss(
                                zmm3, ptr[BO1 + LDB * 1 + (i - OFFSET) * SIZE]);
                    } else {
                        vbroadcastss(zmm3, ptr[BO1 + (1 - OFFSET) * SIZE]);
                    }
                    vfmadd231ps(regs[1], zmm3, zmm0);
                    if (unroll_m >= 32) vfmadd231ps(regs[1 + 8], zmm3, zmm1);
                    if (unroll_m >= 48) vfmadd231ps(regs[1 + 16], zmm3, zmm2);
                }

                if (isCopy) {
                    if (isUnmasked || unroll_m > 16) {
                        vmovups(ptr[LDA4
                                        + (unroll_m * i + 0 * 16 - OFFSET)
                                                * SIZE],
                                zmm0);
                    } else {
                        vmovups(ptr[LDA4
                                        + (unroll_m * i + 0 * 16 - OFFSET)
                                                * SIZE],
                                zmm0 | k1);
                    }
                    if (unroll_m >= 32) {
                        if (isUnmasked || unroll_m > 32) {
                            vmovups(ptr[LDA4
                                            + (unroll_m * i + 1 * 16 - OFFSET)
                                                    * SIZE],
                                    zmm1);
                        } else {
                            vmovups(ptr[LDA4
                                            + (unroll_m * i + 1 * 16 - OFFSET)
                                                    * SIZE],
                                    zmm1 | k2);
                        }
                    }
                    if (unroll_m >= 48) {
                        if (isUnmasked) {
                            vmovups(ptr[LDA4
                                            + (unroll_m * i + 2 * 16 - OFFSET)
                                                    * SIZE],
                                    zmm2);
                        } else {
                            vmovups(ptr[LDA4
                                            + (unroll_m * i + 2 * 16 - OFFSET)
                                                    * SIZE],
                                    zmm2 | k3);
                        }
                    }
                    if (i == 7) sub(LDA4, -unroll_m * 8 * SIZE);
                }
                fmaloop(unroll_m, unroll_n, i);

                if (i == 1) {
                    if (doCPrefetch) { prefetchw(ptr[CO2 + 0 * 16 * SIZE]); }
                }
                if (i == 3) {
                    if (doCPrefetch && unroll_m >= 32) {
                        prefetchw(ptr[CO2 + 1 * 16 * SIZE]);
                    }
                    if (!isTransA) { prefetcht0(ptr[AA + 16 * 0 * SIZE]); }
                }
                if (i == 5) {
                    if (doCPrefetch) {
                        if (unroll_m >= 48) {
                            prefetchw(ptr[CO2 + 2 * 16 * SIZE]);
                        }
                        add(CO2, LDC);
                    }
                    if (!isTransA) {
                        if (unroll_m >= 32) {
                            prefetcht0(ptr[AA + 16 * 1 * SIZE]);
                        }
                    }
                }

                if (isTransB) {
                    prefetcht0(ptr[BO1 + BO2]);
                    add(BO1, LDB);
                }
            } // end of for loop

            if (!isTransB) {
                sub(BO1, -8 * SIZE);
                if (unroll_n >= 4) sub(BO2, -8 * SIZE);
            }
            if (!isTransA) {
                if (unroll_m >= 48) { prefetcht0(ptr[AA + 16 * 2 * SIZE]); }
                lea(AA, ptr[AA + LDA]);
            }

            if (!isDirect) {
                if (isUnmasked || unroll_m > 16) {
                    vmovups(zmm0,
                            ptr[AO1 + (unroll_m * 8 + 0 * 16 - OFFSET) * SIZE]);
                } else {
                    vmovups(zmm0 | k1 | T_z,
                            ptr[AO1 + (unroll_m * 8 + 0 * 16 - OFFSET) * SIZE]);
                }
                if (unroll_m >= 32) {
                    if (isUnmasked || unroll_m > 32) {
                        vmovups(zmm1,
                                ptr[AO1
                                        + (unroll_m * 8 + 1 * 16 - OFFSET)
                                                * SIZE]);
                    } else {
                        vmovups(zmm1 | k2 | T_z,
                                ptr[AO1
                                        + (unroll_m * 8 + 1 * 16 - OFFSET)
                                                * SIZE]);
                    }
                }
                if (unroll_m >= 48) {
                    if (isUnmasked) {
                        vmovups(zmm2,
                                ptr[AO1
                                        + (unroll_m * 8 + 2 * 16 - OFFSET)
                                                * SIZE]);
                    } else {
                        vmovups(zmm2 | k3 | T_z,
                                ptr[AO1
                                        + (unroll_m * 8 + 2 * 16 - OFFSET)
                                                * SIZE]);
                    }
                }
                sub(AO1, -unroll_m * 8 * SIZE);
            }

            sub(LL, 1);
        };

        // Main kernel; does prefetching and calls innerkernel
        // After calculating results in registers, writes back to C matrix by
        // calling update
        auto kernel = [&](int unroll_m, int unroll_n, bool isDirect,
                              bool isCopy, bool isUnmasked = true) {
            if (!isDirect) {
                lea(AO1, ptr[rsp + 128 + OFFSET * SIZE]);
            } else {
                mov(AO1, A);
            }

            if (isCopy) {
                lea(LDA4, ptr[rsp + 128 + OFFSET * SIZE]);
            } else {
                auto step = 2;
                lea(LDA4, ptr[LDA * step + (16 - 1 - OFFSET) * SIZE]);
            }

            if (isTransB) {
                lea(BO2, ptr[LDB * 4 + (16 / 2 - 1 - OFFSET) * SIZE]);
            }

            if (!isDirect) {
                if (isUnmasked || unroll_m > 16) {
                    vmovups(zmm0,
                            ptr[AO1 + (unroll_m * 0 + 0 * 16 - OFFSET) * SIZE]);
                } else {
                    vmovups(zmm0 | k1 | T_z,
                            ptr[AO1 + (unroll_m * 0 + 0 * 16 - OFFSET) * SIZE]);
                }
                if (unroll_m >= 32) {
                    if (isUnmasked || unroll_m > 32) {
                        vmovups(zmm1,
                                ptr[AO1
                                        + (unroll_m * 0 + 1 * 16 - OFFSET)
                                                * SIZE]);
                    } else {
                        vmovups(zmm1 | k2 | T_z,
                                ptr[AO1
                                        + (unroll_m * 0 + 1 * 16 - OFFSET)
                                                * SIZE]);
                    }
                }
                if (unroll_m >= 48) {
                    if (isUnmasked) {
                        vmovups(zmm2,
                                ptr[AO1
                                        + (unroll_m * 0 + 2 * 16 - OFFSET)
                                                * SIZE]);
                    } else {
                        vmovups(zmm2 | k3 | T_z,
                                ptr[AO1
                                        + (unroll_m * 0 + 2 * 16 - OFFSET)
                                                * SIZE]);
                    }
                }
            }

            Label kernel12, kernel13, kernel14, kernel15, kernel16, kernel18;

            mov(LL, K);
            sar(LL, 3);
            sub(LL, SECOND_FETCH);
            jle(kernel13, T_NEAR);
            align(16);

            L(kernel12);
            innerkernel(
                    unroll_m, unroll_n, isDirect, isCopy, false, isUnmasked);
            jg(kernel12, T_NEAR);
            align(16);

            L(kernel13);
            lea(CO2, ptr[CO1 + (16 - 1) * SIZE]);
            add(LL, unroll_n);
            jle(kernel15, T_NEAR);
            align(16);

            L(kernel14);
            innerkernel(unroll_m, unroll_n, isDirect, isCopy, true, isUnmasked);
            jg(kernel14, T_NEAR);
            align(16);

            L(kernel15);
            mov(LL, K);
            and_(LL, 7);
            jle(kernel18, T_NEAR);
            align(16);

            L(kernel16);
            if (isDirect) {
                if (isUnmasked || unroll_m > 16) {
                    vmovups(zmm0, ptr[AO1 + (0 * 16 - OFFSET) * SIZE]);
                } else {
                    vmovups(zmm0 | k1 | T_z,
                            ptr[AO1 + (0 * 16 - OFFSET) * SIZE]);
                }
                if (unroll_m >= 32) {
                    if (isUnmasked || unroll_m > 32) {
                        vmovups(zmm1, ptr[AO1 + (1 * 16 - OFFSET) * SIZE]);
                    } else {
                        vmovups(zmm1 | k2 | T_z,
                                ptr[AO1 + (1 * 16 - OFFSET) * SIZE]);
                    }
                }
                if (unroll_m >= 48) {
                    if (isUnmasked) {
                        vmovups(zmm2, ptr[AO1 + (2 * 16 - OFFSET) * SIZE]);
                    } else {
                        vmovups(zmm2 | k3 | T_z,
                                ptr[AO1 + (2 * 16 - OFFSET) * SIZE]);
                    }
                }
                add(AO1, LDA);
            }

            for (int i = 0; i < unroll_n; i++) {
                if (!isTransB) {
                    switch (i) {
                        case 0:
                            vbroadcastss(zmm3, ptr[BO1 + (0 - OFFSET) * SIZE]);
                            break;
                        case 1:
                            vbroadcastss(zmm3,
                                    ptr[BO1 + LDB * 1 + (0 - OFFSET) * SIZE]);
                            break;
                        case 2:
                            vbroadcastss(zmm3,
                                    ptr[BO1 + LDB * 2 + (0 - OFFSET) * SIZE]);
                            break;
                        case 3:
                            vbroadcastss(zmm3,
                                    ptr[BO1 + LDB3 + (0 - OFFSET) * SIZE]);
                            break;
                        case 4:
                            vbroadcastss(zmm3, ptr[BO2 + (0 - OFFSET) * SIZE]);
                            break;
                        case 5:
                            vbroadcastss(zmm3,
                                    ptr[BO2 + LDB * 1 + (0 - OFFSET) * SIZE]);
                            break;
                        case 6:
                            vbroadcastss(zmm3,
                                    ptr[BO2 + LDB * 2 + (0 - OFFSET) * SIZE]);
                            break;
                        case 7:
                            vbroadcastss(zmm3,
                                    ptr[BO2 + LDB3 + (0 - OFFSET) * SIZE]);
                            break;
                    }
                } else {
                    vbroadcastss(zmm3, ptr[BO1 + (i - OFFSET) * SIZE]);
                }
                vfmadd231ps(regs[i], zmm3, zmm0);
                if (unroll_m >= 32) { vfmadd231ps(regs[i + 8], zmm3, zmm1); }
                if (unroll_m >= 48) { vfmadd231ps(regs[i + 16], zmm3, zmm2); }
            }

            if (isCopy) {
                if (isUnmasked || unroll_m > 16) {
                    vmovups(ptr[LDA4 + (unroll_m * 0 + 0 * 16 - OFFSET) * SIZE],
                            zmm0);
                } else {
                    vmovups(ptr[LDA4 + (unroll_m * 0 + 0 * 16 - OFFSET) * SIZE],
                            zmm0 | k1);
                }
                if (unroll_m >= 32) {
                    if (isUnmasked || unroll_m > 32) {
                        vmovups(ptr[LDA4
                                        + (unroll_m * 0 + 1 * 16 - OFFSET)
                                                * SIZE],
                                zmm1);
                    } else {
                        vmovups(ptr[LDA4
                                        + (unroll_m * 0 + 1 * 16 - OFFSET)
                                                * SIZE],
                                zmm1 | k2);
                    }
                }
                if (unroll_m >= 48) {
                    if (isUnmasked) {
                        vmovups(ptr[LDA4
                                        + (unroll_m * 0 + 2 * 16 - OFFSET)
                                                * SIZE],
                                zmm2);
                    } else {
                        vmovups(ptr[LDA4
                                        + (unroll_m * 0 + 2 * 16 - OFFSET)
                                                * SIZE],
                                zmm2 | k3);
                    }
                }
                sub(LDA4, -unroll_m * SIZE);
            }

            if (!isDirect) {
                if (isUnmasked || unroll_m > 16) {
                    vmovups(zmm0,
                            ptr[AO1 + (unroll_m * 1 + 0 * 16 - OFFSET) * SIZE]);
                } else {
                    vmovups(zmm0 | k1 | T_z,
                            ptr[AO1 + (unroll_m * 1 + 0 * 16 - OFFSET) * SIZE]);
                }
                if (unroll_m >= 32) {
                    if (isUnmasked || unroll_m > 32) {
                        vmovups(zmm1,
                                ptr[AO1
                                        + (unroll_m * 1 + 1 * 16 - OFFSET)
                                                * SIZE]);
                    } else {
                        vmovups(zmm1 | k2 | T_z,
                                ptr[AO1
                                        + (unroll_m * 1 + 1 * 16 - OFFSET)
                                                * SIZE]);
                    }
                }
                if (unroll_m >= 48) {
                    if (isUnmasked) {
                        vmovups(zmm2,
                                ptr[AO1
                                        + (unroll_m * 1 + 2 * 16 - OFFSET)
                                                * SIZE]);
                    } else {
                        vmovups(zmm2 | k3 | T_z,
                                ptr[AO1
                                        + (unroll_m * 1 + 2 * 16 - OFFSET)
                                                * SIZE]);
                    }
                }
                sub(AO1, -unroll_m * SIZE);
            }

            if (!isTransB) {
                sub(BO1, -SIZE);
                if (unroll_n >= 4) { sub(BO2, -SIZE); }
            } else {
                add(BO1, LDB);
            }

            sub(LL, 1);
            jg(kernel16, T_NEAR);
            align(16);

            L(kernel18);
            vbroadcastss(VALPHA, ALPHA);

            if (isBetaN) { vbroadcastss(VBETA, BETA); }

            // Write back the results; all beta cases need to be handled
            if (hasBias) {
                mov(BIAS1, BIAS);
                if (isUnmasked || unroll_m > 16)
                    vmovups(VBIAS1, ptr[BIAS1 + 0 * SIZE]);
                else
                    vmovups(VBIAS1 | k1 | T_z, ptr[BIAS1 + 0 * SIZE]);
                if (unroll_m >= 32) {
                    if (isUnmasked || unroll_m > 32)
                        vmovups(VBIAS2, ptr[BIAS1 + 16 * SIZE]);
                    else
                        vmovups(VBIAS2 | k2 | T_z, ptr[BIAS1 + 16 * SIZE]);
                }
                if (unroll_m >= 48) {
                    if (isUnmasked)
                        vmovups(VBIAS3, ptr[BIAS1 + 32 * SIZE]);
                    else
                        vmovups(VBIAS3 | k3 | T_z, ptr[BIAS1 + 32 * SIZE]);
                }
            }

            for (int i = 0; i < unroll_n; i++) {
                bool useScale = i % 2 != 0;
                bool useCO1 = i < 2;
                if (i == 2) lea(CO2, ptr[CO1 + LDC * 2]);
                if (i == 4 || i == 6) lea(CO2, ptr[CO2 + LDC * 2]);
                if (hasBias) vaddps(regs[i], VBIAS1, regs[i]);
                if (isUnmasked || unroll_m > 16) {
                    update(regs[i], useCO1, 0, 0, useScale);
                } else {
                    update(regs[i], useCO1, 0, 1, useScale);
                }
                if (unroll_m >= 32) {
                    if (hasBias) vaddps(regs[i + 8], VBIAS2, regs[i + 8]);
                    if (isUnmasked || unroll_m > 32) {
                        update(regs[i + 8], useCO1, 16, 0, useScale);
                    } else {
                        update(regs[i + 8], useCO1, 16, 2, useScale);
                    }
                }
                if (unroll_m >= 48) {
                    if (hasBias) vaddps(regs[i + 16], VBIAS3, regs[i + 16]);
                    if (isUnmasked) {
                        update(regs[i + 16], useCO1, 32, 0, useScale);
                    } else {
                        update(regs[i + 16], useCO1, 32, 3, useScale);
                    }
                }
            }

            switch (unroll_n) {
                case 1: add(CO1, LDC); break;
                case 2: lea(CO1, ptr[CO1 + LDC * 2]); break;
                case 3: lea(CO1, ptr[CO2 + LDC * 1]); break;
                case 4: lea(CO1, ptr[CO2 + LDC * 2]); break;
                case 5: lea(CO1, ptr[CO2 + LDC * 1]); break;
                case 6: lea(CO1, ptr[CO2 + LDC * 2]); break;
                case 7: lea(CO1, ptr[CO2 + LDC * 1]); break;
                case 8: lea(CO1, ptr[CO2 + LDC * 2]); break;
            }

            // Compute next address of B
            if (!isTransB) {
                lea(rax, ptr[K * SIZE]);
                switch (unroll_n) {
                    case 1:
                        add(BO1, LDB);
                        add(BO2, LDB);
                        break;
                    case 2:
                        lea(BO1, ptr[BO1 + LDB * 2]);
                        lea(BO2, ptr[BO2 + LDB * 2]);
                        break;
                    case 3:
                        lea(BO1, ptr[BO1 + LDB3]);
                        lea(BO2, ptr[BO2 + LDB3]);
                        break;
                    case 4:
                        lea(BO1, ptr[BO1 + LDB * 4]);
                        lea(BO2, ptr[BO2 + LDB * 4]);
                        break;
                    case 5:
                        lea(BO1, ptr[BO1 + LDB * 4]);
                        add(BO1, LDB);
                        lea(BO2, ptr[BO2 + LDB * 4]);
                        add(BO2, LDB);
                        break;
                    case 6:
                        lea(BO1, ptr[BO1 + LDB3 * 2]);
                        lea(BO2, ptr[BO2 + LDB3 * 2]);
                        break;
                    case 7:
                        lea(BO1, ptr[BO1 + LDB * 8]);
                        sub(BO1, LDB);
                        lea(BO2, ptr[BO2 + LDB * 8]);
                        sub(BO2, LDB);
                        break;
                    case 8:
                        lea(BO1, ptr[BO1 + LDB * 8]);
                        lea(BO2, ptr[BO2 + LDB * 8]);
                        break;
                }
                sub(BO1, rax);
                sub(BO2, rax);
            } else {
                mov(rax, LDB);
                imul(rax, K);
                sub(BO1, rax);
                add(BO1, unroll_n * SIZE);
            }
        };

        // High-level subroutine; does packing if needed, then splits C matrix.
        // Operates on chunks of 48 rows, 8 columns at a time (handling tail
        // cases appropriately by doing 32 or 16 rows, and/or with masking,
        // and/or fewer columns).
        auto subloop = [&](int unroll_m) {
            Label l_subloop_20x[8], l_subloop_mask_20x[8];
            Label l_subloop_30x[8], l_subloop_mask_30x[8];

            Label subloop11, subloop11mask;
            Label subloop30, subloop30mask;
            Label subloop31, subloop31mask;
            Label subloop96;
            Label subloop98, subloop98mask;
            Label subloop99;

            // Create mask
            mov(BO1, rcx);
            mov(rcx, M);
            sub(rcx, unroll_m - 16);
            mov(CO1, 16);
            cmp(rcx, 16);

            cmovg(rcx, CO1);
            mov(rax, 1);
            sal(rax, cl);
            sub(rax, 1);
            mov(rcx, 0xffff);

            if (unroll_m == 16) {
                kmovw(k1, eax);
            } else if (unroll_m == 32) {
                kmovw(k1, ecx);
                kmovw(k2, eax);
            } else {
                kmovw(k1, ecx);
                kmovw(k2, ecx);
                kmovw(k3, eax);
            }
            mov(rcx, BO1);

            and_(rax, 0xffff);
            cmp(rax, 0xffff);
            jne(subloop96, T_NEAR);

            if (isTransA) { do_pack(unroll_m); }

            mov(CO1, C);
            add(C, unroll_m * SIZE);

            mov(BO1, B);
            if (!isTransB) { lea(BO2, ptr[B + LDB * 4]); }

            if (!isTransA) {
                lea(AA, ptr[A + (unroll_m + 16 - 1 - OFFSET) * SIZE]);
                cmp(M, UNROLL_M);
                jg(subloop98, T_NEAR);

                mov(AA, ORIG_A);
                lea(AA, ptr[AA + (16 - 1 - OFFSET) * SIZE]);
                L(subloop98);
            }

            mov(LL, N);
            mov(I, LL);
            if (!isTransA) {
                // If N is too small, skip copy operation
                cmp(LL, UNROLL_N * 3);
                jle(subloop30, T_NEAR);

                // If A is not aligned to cache line
                cmp(FLAG, 0);
                je(subloop30, T_NEAR);
            } else {
                cmp(LL, UNROLL_N);
                jl(l_subloop_20x[1], T_NEAR);
            }
            align(16);

            if (!isTransA) {
                kernel(unroll_m, UNROLL_N, true, true);
            } else {
                kernel(unroll_m, UNROLL_N, false, false);
            }

            sub(I, UNROLL_N);
            cmp(I, UNROLL_N);
            jl(l_subloop_20x[1], T_NEAR);
            align(16);

            L(subloop11);
            kernel(unroll_m, UNROLL_N, false, false);
            sub(I, UNROLL_N);
            cmp(I, UNROLL_N);
            jge(subloop11, T_NEAR);
            align(16);

            for (int i = 1; i <= 7; i++) {
                L(l_subloop_20x[i]);
                cmp(I, i);
                if (i < 7) {
                    jne(l_subloop_20x[i + 1], T_NEAR);
                } else {
                    jne(subloop99, T_NEAR);
                }
                kernel(unroll_m, i, false, false);
                jmp(subloop99, T_NEAR);
                align(16);
            }

            if (!isTransA) {
                L(subloop30);
                cmp(I, UNROLL_N);
                jl(l_subloop_30x[1], T_NEAR);
                align(16);

                L(subloop31);
                kernel(unroll_m, UNROLL_N, true, false);
                sub(I, UNROLL_N);
                cmp(I, UNROLL_N);
                jge(subloop31, T_NEAR);
                align(16);

                for (int i = 1; i <= 7; i++) {
                    L(l_subloop_30x[i]);
                    cmp(I, i);
                    if (i < 7) {
                        jne(l_subloop_30x[i + 1], T_NEAR);
                    } else {
                        jne(subloop99, T_NEAR);
                    }
                    kernel(unroll_m, i, true, false);
                    if (i < 7) jmp(subloop99, T_NEAR);
                    align(16);
                }
            }
            jmp(subloop99, T_NEAR);
            align(16);

            L(subloop96);
            if (isTransA) { do_pack(unroll_m); }

            mov(CO1, C);
            add(C, unroll_m * SIZE);
            mov(BO1, B);
            if (!isTransB) { lea(BO2, ptr[B + LDB * 4]); }

            if (!isTransA) {
                lea(AA, ptr[A + (unroll_m + 16 - 1 - OFFSET) * SIZE]);
                cmp(M, UNROLL_M);
                jg(subloop98mask, T_NEAR);
                mov(AA, ORIG_A);
                lea(AA, ptr[AA + (16 - 1 - OFFSET) * SIZE]);
                L(subloop98mask);
            }

            mov(LL, N);
            mov(I, LL);
            if (!isTransA) {
                // If N is too small, skip copy operation
                cmp(LL, UNROLL_N * 3);
                jle(subloop30mask, T_NEAR);

                // If A is not aligned to cache line
                cmp(FLAG, 0);
                je(subloop30mask, T_NEAR);
            } else {
                cmp(LL, UNROLL_N);
                jl(l_subloop_mask_20x[1], T_NEAR);
            }
            align(16);

            if (!isTransA) {
                kernel(unroll_m, UNROLL_N, true, true, false);
            } else {
                kernel(unroll_m, UNROLL_N, false, false, false);
            }

            sub(I, UNROLL_N);
            cmp(I, UNROLL_N);
            jl(l_subloop_mask_20x[1], T_NEAR);
            align(16);

            L(subloop11mask);
            kernel(unroll_m, UNROLL_N, false, false, false);
            sub(I, UNROLL_N);
            cmp(I, UNROLL_N);
            jge(subloop11mask, T_NEAR);
            align(16);

            for (int i = 1; i <= 7; i++) {
                L(l_subloop_mask_20x[i]);
                cmp(I, i);
                if (i < 7) {
                    jne(l_subloop_mask_20x[i + 1], T_NEAR);
                } else {
                    jne(subloop99, T_NEAR);
                }
                kernel(unroll_m, i, false, false, false);
                jmp(subloop99, T_NEAR);
                align(16);
            }

            if (!isTransA) {
                L(subloop30mask);
                cmp(I, UNROLL_N);
                jl(l_subloop_mask_30x[1], T_NEAR);
                align(16);

                L(subloop31mask);
                kernel(unroll_m, UNROLL_N, true, false, false);
                sub(I, UNROLL_N);
                cmp(I, UNROLL_N);
                jge(subloop31mask, T_NEAR);
                align(16);

                for (int i = 1; i <= 7; i++) {
                    L(l_subloop_mask_30x[i]);
                    cmp(I, i);
                    if (i < 7) {
                        jne(l_subloop_mask_30x[i + 1], T_NEAR);
                    } else {
                        jne(subloop99, T_NEAR);
                    }
                    kernel(unroll_m, i, true, false, false);
                    if (i < 7) jmp(subloop99, T_NEAR);
                    align(16);
                }
            }

            L(subloop99);
            // Compute address for A
            if (!isTransA) {
                add(A, unroll_m * SIZE);
            } else {
                mov(rax, LDA);
                imul(rax, rax, unroll_m);
                add(A, rax);
            }

            // Compute next address of BIAS
            if (hasBias) { add(BIAS, unroll_m * SIZE); }
        };

        preamble();

        Label buffer_in_ws, buffer_allocated;

        // Get the registers
        mov(B, ARG_B);
        mov(LDB, ARG_LDB);
        mov(r15, ARG_BETA);
        mov(r12, ARG_C);
        if (hasBias) mov(r10, ARG_BIAS);
        mov(LDC, ARG_LDC);
        mov(rbp, rsp);

        vmovss(xmm0, ptr[ARG_ALPHA]);
        vmovss(xmm1, ptr[r15]);

#ifdef _WIN32
        mov(A, ARG_A);
        mov(LDA, ARG_LDA);
#endif

        cmp(K, STACK_K_CAPACITY);
        jg(buffer_in_ws, T_NEAR);

        // Create buffer and align to 4kB page
        lea(rax, ptr[K * SIZE]);
        imul(rax, rax, 0x30);
        add(rax, 256);
        sub(rsp, rax);
        and_(rsp, -PAGE_4K);
        jmp(buffer_allocated, T_NEAR);

        L(buffer_in_ws);
        mov(rsp, ARG_WS);

        L(buffer_allocated);

        mov(ORIG_SP, rbp);
        mov(M, ARG_M);
        mov(N, ARG_N);
        mov(C, r12);
        if (hasBias) mov(BIAS, r10);
        vmovss(ALPHA, xmm0);
        vmovss(BETA, xmm1);
        sub(A, -OFFSET * SIZE);
        sub(B, -OFFSET * SIZE);
        mov(ORIG_A, A);
        sal(LDA, BASE_SHIFT);
        sal(LDB, BASE_SHIFT);
        sal(LDC, BASE_SHIFT);
        lea(LDB3, ptr[LDB + LDB * 2]);

        if (isTransA) {
            vpbroadcastq(zmm2, LDA);
            vpxorq(ZSTRIDE, ZSTRIDE, ZSTRIDE);
            mov(rax, -2);
            kmovw(k4, eax);

            for (int i = 0; i < 6; i++) {
                vpaddq(ZSTRIDE | k4, ZSTRIDE, zmm2);
                kshiftlw(k4, k4, 1);
            }
            vpaddq(ZSTRIDE | k4, ZSTRIDE, zmm2);
        }

        // Check A alignment and leading dimension; take copy-based path as
        // needed
        mov(rax, LDA);
        or_(rax, A);
        and_(rax, 0x07);
        mov(FLAG, rax);

        for (int i = 8; i < 16; i++) {
            for (int j = 0; j < 3; j++) {
                vpxorq(Zmm(i + 8 * j), Zmm(i + 8 * j), Zmm(i + 8 * j));
            }
        }

        Label main0, main1, main2, main999;

        cmp(M, 32);
        jle(main0, T_NEAR);
        align(16);

        L(main1);
        subloop(48);
        sub(M, UNROLL_M);
        cmp(M, 32);
        jg(main1, T_NEAR);
        align(16);

        L(main0);
        cmp(M, 16);
        jle(main2, T_NEAR);

        subloop(32);
        jmp(main999, T_NEAR);
        align(16);

        L(main2);
        cmp(M, 0);
        jle(main999, T_NEAR);
        subloop(16);
        align(16);

        L(main999);
        // Restore original stack
        mov(rsp, ORIG_SP);

        vzeroupper();
        postamble();
    }

public:
    dim_t stack_k_capacity() const { return STACK_K_CAPACITY; }

private:
    const char isTransA;
    const char isTransB;
    const float beta;
    const bool hasBias;
    const dim_t STACK_K_CAPACITY;
};

xbyak_gemm_t *get_xbyak_gemm(
        bool isTransA, bool isTransB, float beta, bool hasBias) {
    auto beta_idx = [](float beta) {
        return (beta == 0.0) ? 0 : (beta == 1.0 ? 1 : 2);
    };

    // Kernel table [isTransA][isTransB][hasBias][beta (0, 1, other)]
    static std::unique_ptr<xbyak_gemm_t> kernel_table[2][2][2][3];
    static std::once_flag initialized;
    static std::atomic<dnnl_status_t> st(dnnl_success);
    std::call_once(initialized, [&] {
        for (bool isTransA : {false, true})
            for (bool isTransB : {false, true})
                for (bool hasBias : {false, true})
                    for (float beta : {0.0f, 1.0f, 2.0f}) {
                        // nocopy sgemm with bias for beta != 0.0 is not supported
                        if (hasBias && beta != 0.0) continue;
                        auto &kern = kernel_table[isTransA][isTransB][hasBias]
                                                 [beta_idx(beta)];

                        kern.reset(new xbyak_gemm_t(
                                isTransA, isTransB, beta, hasBias));
                        if (kern->create_kernel() != dnnl_success) {
                            st = dnnl_runtime_error;
                            return;
                        }
                    }
    });

    return (st == dnnl_success)
            ? kernel_table[isTransA][isTransB][hasBias][beta_idx(beta)].get()
            : nullptr;
}

dnnl_status_t sgemm_nocopy_driver(const char *transa, const char *transb,
        dim_t m, dim_t n, dim_t k, const float *alpha, const float *a,
        dim_t lda, const float *b, dim_t ldb, const float *beta, float *c,
        dim_t ldc, const float *bias) {

    bool isTransA = (*transa == 'T' || *transa == 't');
    bool isTransB = (*transb == 'T' || *transb == 't');

    dim_t Bm, sizeM, Bn, sizeN, Bk, sizeK;

    dim_t i, j;

    if ((m <= 0) || (n <= 0)) return dnnl_success;

    if ((k <= 0) || (alpha[0] == 0.)) {

        if (beta[0] == 0.) {
            for (j = 0; j < n; j++)
                for (i = 0; i < m; i++)
                    c[i + j * ldc] = 0.0;
        } else if (beta[0] != 1.) {
            for (j = 0; j < n; j++)
                for (i = 0; i < m; i++)
                    c[i + j * ldc] *= beta[0];
        }

        return dnnl_success;
    }

    assert(IMPLICATION(bias != nullptr, *beta == 0.0));

    // XXX: this happens on every thread...
    bool hasBias = (bias != nullptr);
    auto ker_bn = get_xbyak_gemm(isTransA, isTransB, *beta, hasBias);
    auto ker_b1 = get_xbyak_gemm(isTransA, isTransB, 1.0, false);
    auto ker_b0 = get_xbyak_gemm(isTransA, isTransB, 0.0, false);
    if (utils::any_null(ker_bn, ker_b1, ker_b0)) return dnnl_runtime_error;

    dim_t BM = 4032, BN, BK;
    if (mayiuse(avx512_core)) {
        BN = isTransA ? 384 : 64;
        BK = 384;
    } else {
        BN = isTransA ? 96 : 64;
        BK = isTransB ? 96 : 192;
        if (!isTransA && !isTransB) BK = 128;
    }

    float *ws = nullptr;
    bool use_heap_mem = BK > ker_b1->stack_k_capacity();
    if (use_heap_mem) {
        // Kernel uses sizeK * unroll_m + 64 elements as workspace.
        const dim_t max_sizeK = BK;
        const size_t ws_size = sizeof *ws * (max_sizeK * UNROLL_M + 64);

        ws = (float *)malloc(ws_size, PAGE_4K);
        if (!ws) return dnnl_out_of_memory;
    }

    const float *curA, *curB, *curBias = nullptr;
    float *curC;

    for (Bk = 0; Bk < k; Bk += sizeK) {
        sizeK = k - Bk;
        if (sizeK >= BK * 2)
            sizeK = BK;
        else {
            if (sizeK > BK) sizeK = (sizeK + 1) / 2;
        }

        for (Bm = 0; Bm < m; Bm += sizeM) {
            sizeM = m - Bm;
            if (sizeM >= BM * 2)
                sizeM = BM;
            else {
                if (sizeM > BM + BM / 2) sizeM = (sizeM + 1) / 2;
            }

            for (Bn = 0; Bn < n; Bn += sizeN) {
                sizeN = n - Bn;
                if (sizeN >= BN * 2)
                    sizeN = BN;
                else {
                    if (sizeN > BN + BN / 2) sizeN = (sizeN + 1) / 2;
                }

                if (!isTransA) {
                    curA = a + Bm + Bk * lda;
                } else {
                    curA = a + Bk + Bm * lda;
                }
                if (!isTransB) {
                    curB = b + Bk + Bn * ldb;
                } else {
                    curB = b + Bn + Bk * ldb;
                }
                curC = c + Bm + (size_t)Bn * ldc;
                if (bias != nullptr) {
                    if (Bk == 0) {
                        curBias = bias + Bm;
                    } else {
                        curBias = nullptr;
                    }
                }
                if (Bk == 0) {
                    if (*beta == 0.0 && bias == nullptr)
                        (*ker_b0)(sizeM, sizeN, sizeK, alpha, curA, lda, curB,
                                ldb, beta, curC, ldc, curBias, ws);
                    else
                        (*ker_bn)(sizeM, sizeN, sizeK, alpha, curA, lda, curB,
                                ldb, beta, curC, ldc, curBias, ws);
                } else {
                    (*ker_b1)(sizeM, sizeN, sizeK, alpha, curA, lda, curB, ldb,
                            beta, curC, ldc, curBias, ws);
                }
            }
        }
    }

    free(ws);
    msan_unpoison_matrix(c, m, n, ldc, sizeof(*c));

    return dnnl_success;
}

} // namespace avx512_common_gemm_f32

dnnl_status_t jit_avx512_common_gemm_f32(int nthrs, const char *transa,
        const char *transb, const dim_t *p_m, const dim_t *p_n,
        const dim_t *p_k, const float *p_alpha, const float *A,
        const dim_t *p_lda, const float *B, const dim_t *p_ldb,
        const float *p_beta, float *C, const dim_t *p_ldc, const float *bias) {

    using namespace dnnl::impl::utils;
    using namespace avx512_common_gemm_f32;
    using namespace gemm_utils;

    if (*p_beta != 0 && bias)
        return ref_gemm(transa, transb, p_m, p_n, p_k, p_alpha, A, p_lda, B,
                p_lda, p_beta, C, p_ldc, bias);

    int nthr_max = dnnl_get_current_num_threads();
    int nthr_to_use = nstl::min(nthrs, nthr_max);

    dim_t m = *p_m;
    dim_t n = *p_n;
    dim_t k = *p_k;
    dim_t lda = *p_lda;
    dim_t ldb = *p_ldb;
    dim_t ldc = *p_ldc;
    float beta = *p_beta;
    dim_t MB, NB, KB;

    int nthr_m = 1, nthr_n = 1, nthr_k = 1, nthr_mn = 1;

    // Determine threading partitioning
    calc_nthr_nocopy_avx512_common(
            m, n, k, nthr_to_use, &nthr_m, &nthr_n, &nthr_k, &MB, &NB, &KB);
    assert(IMPLICATION(!dnnl_thr_syncable(), nthr_k == 1));

    nthr_to_use = nthr_m * nthr_n * nthr_k;

    nthr_mn = nthr_m * nthr_n;

    unsigned char *ompstatus_ = nullptr;
    unsigned char volatile *ompstatus = nullptr;

    float *c_buffers = nullptr;

    if (nthr_k > 1) {
        ompstatus_ = (unsigned char *)malloc(
                nthr_to_use * CACHE_LINE_SIZE, CACHE_LINE_SIZE);
        if (!ompstatus_) return dnnl_out_of_memory;

        ompstatus = (unsigned char volatile *)ompstatus_;
        assert(ompstatus);

        for (int i = 0; i < nthr_to_use; i++)
            ompstatus[i * CACHE_LINE_SIZE] = 0;

        c_buffers = (float *)malloc(
                sizeof(*c_buffers) * nthr_m * nthr_n * (nthr_k - 1) * MB * NB,
                PAGE_4K);
        if (!c_buffers) {
            free(ompstatus_);
            return dnnl_out_of_memory;
        }
    }

    if (nthr_to_use == 1) {
        auto status = sgemm_nocopy_driver(transa, transb, m, n, k, p_alpha, A,
                lda, B, ldb, p_beta, C, ldc, bias);
        return status;
    }

    // Always use the maximum number of threads to avoid OMP overhead that can
    // occur due to change thread counts.
    int nthr_spawn = dnnl_thr_syncable() ? nthr_max : nthr_to_use;

    std::atomic<dnnl_status_t> st(dnnl_success);
    parallel(nthr_spawn, [&](int ithr, int nthr) {
        assert(nthr == nthr_spawn);
        MAYBE_UNUSED(nthr);

        int ithr_m, ithr_n, ithr_k, ithr_mn;
        dim_t m_from, m_to, myM;
        dim_t n_from, n_to, myN;
        dim_t k_from, k_to, myK;
        int cbase, ibase;
        const float *myA, *myB, *myBias = nullptr;
        float *myC = C, myBeta;
        dim_t ld = ldc;

        int sum_later = nthr < nthr_m * nthr_n * nthr_k;

        if (ithr < nthr_m * nthr_n * nthr_k) {

            ithr_mn = ithr % nthr_mn;
            ithr_m = ithr_mn % nthr_m;
            ithr_n = ithr_mn / nthr_m;
            ithr_k = ithr / nthr_mn;

            /* swap ithr_k for performance improvement */
            if (ithr_k == 0)
                ithr_k = nthr_k - 1;
            else if (ithr_k == nthr_k - 1)
                ithr_k = 0;

            m_from = MB * (ithr_m);
            m_to = MB * (ithr_m + 1);
            if (m_to > m) m_to = m;
            myM = m_to - m_from;

            n_from = NB * (ithr_n);
            n_to = NB * (ithr_n + 1);
            if (n_to > n) n_to = n;
            myN = n_to - n_from;

            k_from = KB * (ithr_k);
            k_to = KB * (ithr_k + 1);
            if (k_to > k) k_to = k;
            myK = k_to - k_from;

            cbase = (ithr_m + nthr_m * ithr_n) * (nthr_k - 1);
            ibase = (ithr_m + nthr_m * ithr_n) * nthr_k;

            if ((myM > 0) && (myN > 0)) {

                if (*transa == 'N' || *transa == 'n') {
                    myA = &(A[m_from + k_from * lda]);
                } else {
                    myA = &(A[k_from + m_from * lda]);
                }
                if (*transb == 'N' || *transb == 'n') {
                    myB = &(B[k_from + n_from * ldb]);
                } else {
                    myB = &(B[n_from + k_from * ldb]);
                }
                if (ithr_k == 0) {
                    myC = &(C[m_from + n_from * ldc]);
                    myBeta = beta;
                    ld = ldc;
                    if (bias) myBias = &(bias[m_from]);
                } else {
                    myC = c_buffers + MB * NB * (cbase + ithr_k - 1);
                    myBeta = 0.0;
                    ld = MB;
                    myBias = nullptr;
                }

                dnnl_status_t st_thr = sgemm_nocopy_driver(transa, transb, myM,
                        myN, myK, p_alpha, myA, lda, myB, ldb, &myBeta, myC, ld,
                        myBias);
                if (st_thr != dnnl_success) {
                    st = st_thr;
                    return;
                }

                if (nthr_k > 1 && !sum_later)
                    ompstatus[(ibase + ithr_k) * CACHE_LINE_SIZE] = 1;
            }

            if (nthr_k > 1 && !sum_later) {

                // sum matrices partitioned along K dimension
                dim_t n1, n2;

                partition_unit_diff(ithr_k, nthr_k, myN, &n1, &n2);

                if (ithr_k > 0) {

                    myC = c_buffers + MB * NB * (cbase + ithr_k - 1) + n1 * MB;
                    /* need to wait until main thread finishes */
                    while (ompstatus[ibase * CACHE_LINE_SIZE] != 1) {};

                    /* my cache is hot */
                    sum_two_matrices(myM, n2, myC, MB,
                            &C[m_from + (n_from + n1) * ldc], ldc);
                }

                for (int ik = 1; ik < nthr_k; ++ik) {
                    if (ik != ithr_k) {

                        myC = c_buffers + MB * NB * (cbase + ik - 1) + n1 * MB;

                        while (ompstatus[(ibase + ik) * CACHE_LINE_SIZE] != 1) {
                        };

                        sum_two_matrices(myM, n2, myC, MB,
                                &C[m_from + (n_from + n1) * ldc], ldc);
                    }
                }
            }
        }
    });

    if (st != dnnl_success) {
        free(ompstatus_);
        free(c_buffers);
        return st;
    }

    // handle C summation later
    if (nthr_k > 1 && ompstatus[0] == 0) {

        parallel(nthr_spawn, [&](int ithr, int nthr) {
            assert(nthr == nthr_spawn);
            MAYBE_UNUSED(nthr);

            int ithr_m, ithr_n, ithr_k, ithr_mn;
            dim_t m_from, m_to, myM;
            dim_t n_from, n_to, myN;
            int cbase;
            float *myC = C;

            if (ithr < nthr_m * nthr_n * nthr_k) {

                ithr_mn = ithr % nthr_mn;
                ithr_m = ithr_mn % nthr_m;
                ithr_n = ithr_mn / nthr_m;
                ithr_k = ithr / nthr_mn;

                /* swap ithr_k for performance improvement */
                if (ithr_k == 0)
                    ithr_k = nthr_k - 1;
                else if (ithr_k == nthr_k - 1)
                    ithr_k = 0;

                m_from = MB * (ithr_m);
                m_to = MB * (ithr_m + 1);
                if (m_to > m) m_to = m;
                myM = m_to - m_from;

                n_from = NB * (ithr_n);
                n_to = NB * (ithr_n + 1);
                if (n_to > n) n_to = n;
                myN = n_to - n_from;

                cbase = (ithr_m + nthr_m * ithr_n) * (nthr_k - 1);

                if (nthr_k > 1) {
                    // sum matrices partitioned along K dimension
                    dim_t n1, n2;

                    partition_unit_diff(ithr_k, nthr_k, myN, &n1, &n2);

                    if (ithr_k > 0) {

                        myC = c_buffers + MB * NB * (cbase + ithr_k - 1)
                                + n1 * MB;

                        /* my cache is hot */
                        sum_two_matrices(myM, n2, myC, MB,
                                &C[m_from + (n_from + n1) * ldc], ldc);
                    }

                    for (int ik = 1; ik < nthr_k; ++ik) {
                        if (ik != ithr_k) {

                            myC = c_buffers + MB * NB * (cbase + ik - 1)
                                    + n1 * MB;

                            sum_two_matrices(myM, n2, myC, MB,
                                    &C[m_from + (n_from + n1) * ldc], ldc);
                        }
                    }
                }
            }
        });
    }

    free(c_buffers);
    free(ompstatus_);

    return dnnl_success;
}

} // namespace x64
} // namespace cpu
} // namespace impl
} // namespace dnnl

// vim: et ts=4 sw=4 cindent cino+=l0,\:4,N-s
