OpenBLAS/kernel/power/zgemv_t_4.c

/***************************************************************************
Copyright (c) 2018, The OpenBLAS Project
All rights reserved.
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modification, are permitted provided that the following conditions are
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1. Redistributions of source code must retain the above copyright
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2. Redistributions in binary form must reproduce the above copyright
notice, this list of conditions and the following disclaimer in
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distribution.
3. Neither the name of the OpenBLAS project nor the names of
its contributors may be used to endorse or promote products
derived from this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
ARE DISCLAIMED. IN NO EVENT SHALL THE OPENBLAS PROJECT OR CONTRIBUTORS BE
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 *****************************************************************************/

#include "common.h"

#define NBMAX 4096
#if defined(__VEC__) || defined(__ALTIVEC__)

#define HAVE_KERNEL_4x4_VEC 1
#define HAVE_KERNEL_4x2_VEC 1
#define HAVE_KERNEL_4x1_VEC 1

#endif
#if defined(HAVE_KERNEL_4x4_VEC) || defined(HAVE_KERNEL_4x2_VEC) || defined(HAVE_KERNEL_4x1_VEC)
#include <altivec.h> 
#endif

#ifdef HAVE_KERNEL_4x4_VEC_ASM

#elif HAVE_KERNEL_4x4_VEC

#if defined(POWER10)
typedef __vector unsigned char  vec_t;
typedef FLOAT v4sf_t __attribute__ ((vector_size (16)));


static void zgemv_kernel_4x4(BLASLONG n, BLASLONG lda, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha_r, FLOAT alpha_i) {
    BLASLONG i;
    FLOAT *a0, *a1, *a2, *a3;
    a0 = ap;
    a1 = ap + lda;
    a2 = a1 + lda;
    a3 = a2 + lda;
    __vector_quad acc0, acc1, acc2, acc3;;
    __vector_quad acc4, acc5, acc6, acc7;
    v4sf_t result[4];
    __vector_pair *Va0, *Va1, *Va2, *Va3;
    i = 0;
    n = n << 1;
    __builtin_mma_xxsetaccz (&acc0);
    __builtin_mma_xxsetaccz (&acc1);
    __builtin_mma_xxsetaccz (&acc2);
    __builtin_mma_xxsetaccz (&acc3);
    __builtin_mma_xxsetaccz (&acc4);
    __builtin_mma_xxsetaccz (&acc5);
    __builtin_mma_xxsetaccz (&acc6);
    __builtin_mma_xxsetaccz (&acc7);
    while (i < n) {

	vec_t *rx = (vec_t *) & x[i];
        Va0  = ((__vector_pair*)((void*)&a0[i]));
        Va1  = ((__vector_pair*)((void*)&a1[i]));
        Va2  = ((__vector_pair*)((void*)&a2[i]));
        Va3  = ((__vector_pair*)((void*)&a3[i]));

        __builtin_mma_xvf64gerpp (&acc0, Va0[0], rx[0]);
        __builtin_mma_xvf64gerpp (&acc1, Va1[0], rx[0]);
        __builtin_mma_xvf64gerpp (&acc2, Va2[0], rx[0]);
        __builtin_mma_xvf64gerpp (&acc3, Va3[0], rx[0]);
        __builtin_mma_xvf64gerpp (&acc4, Va0[0], rx[1]);
        __builtin_mma_xvf64gerpp (&acc5, Va1[0], rx[1]);
        __builtin_mma_xvf64gerpp (&acc6, Va2[0], rx[1]);
        __builtin_mma_xvf64gerpp (&acc7, Va3[0], rx[1]);
        __builtin_mma_xvf64gerpp (&acc0, Va0[1], rx[2]);
        __builtin_mma_xvf64gerpp (&acc1, Va1[1], rx[2]);
        __builtin_mma_xvf64gerpp (&acc2, Va2[1], rx[2]);
        __builtin_mma_xvf64gerpp (&acc3, Va3[1], rx[2]);
        __builtin_mma_xvf64gerpp (&acc4, Va0[1], rx[3]);
        __builtin_mma_xvf64gerpp (&acc5, Va1[1], rx[3]);
        __builtin_mma_xvf64gerpp (&acc6, Va2[1], rx[3]);
        __builtin_mma_xvf64gerpp (&acc7, Va3[1], rx[3]);
        i += 8;

    }
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
    __builtin_mma_disassemble_acc ((void *)result, &acc0);
    register FLOAT temp_r0 = result[0][0] - result[1][1];
    register FLOAT temp_i0 = result[0][1] + result[1][0];
    __builtin_mma_disassemble_acc ((void *)result, &acc4);
    temp_r0 += result[2][0] - result[3][1];
    temp_i0 += result[2][1] + result[3][0];
    __builtin_mma_disassemble_acc ((void *)result, &acc1);
    register FLOAT temp_r1 = result[0][0] - result[1][1];
    register FLOAT temp_i1 = result[0][1] + result[1][0];
    __builtin_mma_disassemble_acc ((void *)result, &acc5);
    temp_r1 += result[2][0] - result[3][1];
    temp_i1 += result[2][1] + result[3][0];
    __builtin_mma_disassemble_acc ((void *)result, &acc2);
    register FLOAT temp_r2 = result[0][0] - result[1][1];
    register FLOAT temp_i2 = result[0][1] + result[1][0];
    __builtin_mma_disassemble_acc ((void *)result, &acc6);
    temp_r2 += result[2][0] - result[3][1];
    temp_i2 += result[2][1] + result[3][0];
    __builtin_mma_disassemble_acc ((void *)result, &acc3);
    register FLOAT temp_r3 = result[0][0] - result[1][1];
    register FLOAT temp_i3 = result[0][1] + result[1][0];
    __builtin_mma_disassemble_acc ((void *)result, &acc7);
    temp_r3 += result[2][0] - result[3][1];
    temp_i3 += result[2][1] + result[3][0];
#else
    __builtin_mma_disassemble_acc ((void *)result, &acc0);
    register FLOAT temp_r0 = result[0][0] + result[1][1];
    register FLOAT temp_i0 = result[0][1] - result[1][0];
    __builtin_mma_disassemble_acc ((void *)result, &acc4);
    temp_r0 += result[2][0] + result[3][1];
    temp_i0 += result[2][1] - result[3][0];
    __builtin_mma_disassemble_acc ((void *)result, &acc1);
    register FLOAT temp_r1 = result[0][0] + result[1][1];
    register FLOAT temp_i1 = result[0][1] - result[1][0];
    __builtin_mma_disassemble_acc ((void *)result, &acc5);
    temp_r1 += result[2][0] + result[3][1];
    temp_i1 += result[2][1] - result[3][0];
    __builtin_mma_disassemble_acc ((void *)result, &acc2);
    register FLOAT temp_r2 = result[0][0] + result[1][1];
    register FLOAT temp_i2 = result[0][1] - result[1][0];
    __builtin_mma_disassemble_acc ((void *)result, &acc6);
    temp_r2 += result[2][0] + result[3][1];
    temp_i2 += result[2][1] - result[3][0];
    __builtin_mma_disassemble_acc ((void *)result, &acc3);
    register FLOAT temp_r3 = result[0][0] + result[1][1];
    register FLOAT temp_i3 = result[0][1] - result[1][0];
    __builtin_mma_disassemble_acc ((void *)result, &acc7);
    temp_r3 += result[2][0] + result[3][1];
    temp_i3 += result[2][1] - result[3][0];
#endif
#if !defined(XCONJ)

    y[0] += alpha_r * temp_r0 - alpha_i * temp_i0;
    y[1] += alpha_r * temp_i0 + alpha_i * temp_r0;
    y[2] += alpha_r * temp_r1 - alpha_i * temp_i1;
    y[3] += alpha_r * temp_i1 + alpha_i * temp_r1;
    y[4] += alpha_r * temp_r2 - alpha_i * temp_i2;
    y[5] += alpha_r * temp_i2 + alpha_i * temp_r2;
    y[6] += alpha_r * temp_r3 - alpha_i * temp_i3;
    y[7] += alpha_r * temp_i3 + alpha_i * temp_r3;

#else

    y[0] += alpha_r * temp_r0 + alpha_i * temp_i0;
    y[1] -= alpha_r * temp_i0 - alpha_i * temp_r0;
    y[2] += alpha_r * temp_r1 + alpha_i * temp_i1;
    y[3] -= alpha_r * temp_i1 - alpha_i * temp_r1;
    y[4] += alpha_r * temp_r2 + alpha_i * temp_i2;
    y[5] -= alpha_r * temp_i2 - alpha_i * temp_r2;
    y[6] += alpha_r * temp_r3 + alpha_i * temp_i3;
    y[7] -= alpha_r * temp_i3 - alpha_i * temp_r3;
#endif
}
#else
static void zgemv_kernel_4x4(BLASLONG n, BLASLONG lda, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha_r, FLOAT alpha_i) {
    BLASLONG i;
    FLOAT *a0, *a1, *a2, *a3;
    a0 = ap;
    a1 = ap + lda;
    a2 = a1 + lda;
    a3 = a2 + lda;
    //p for positive(real*real,image*image) r for image (real*image,image*real)
    register __vector double vtemp0_p = {0.0, 0.0};
    register __vector double vtemp0_r = {0.0, 0.0};
    register __vector double vtemp1_p = {0.0, 0.0};
    register __vector double vtemp1_r = {0.0, 0.0};
    register __vector double vtemp2_p = {0.0, 0.0};
    register __vector double vtemp2_r = {0.0, 0.0};
    register __vector double vtemp3_p = {0.0, 0.0};
    register __vector double vtemp3_r = {0.0, 0.0};
    i = 0;
    n = n << 1;
    while (i < n) {

        register __vector double vx_0 = *(__vector double*) (&x[i]);
        register __vector double vx_1 = *(__vector double*) (&x[i + 2]);
        register __vector double vx_2 = *(__vector double*) (&x[i + 4]);
        register __vector double vx_3 = *(__vector double*) (&x[i + 6]);

        register __vector double va0 = *(__vector double*) (&a0[i]);
        register __vector double va0_1 = *(__vector double*) (&a0[i + 2]);
        register __vector double va0_2 = *(__vector double*) (&a0[i + 4]);
        register __vector double va0_3 = *(__vector double*) (&a0[i + 6]);

        register __vector double va1 = *(__vector double*) (&a1[i]);
        register __vector double va1_1 = *(__vector double*) (&a1[i + 2]);
        register __vector double va1_2 = *(__vector double*) (&a1[i + 4]);
        register __vector double va1_3 = *(__vector double*) (&a1[i + 6]);

        register __vector double va2 = *(__vector double*) (&a2[i]);
        register __vector double va2_1 = *(__vector double*) (&a2[i + 2]);
        register __vector double va2_2 = *(__vector double*) (&a2[i + 4]);
        register __vector double va2_3 = *(__vector double*) (&a2[i + 6]);

        register __vector double va3 = *(__vector double*) (&a3[i]);
        register __vector double va3_1 = *(__vector double*) (&a3[i + 2]);
        register __vector double va3_2 = *(__vector double*) (&a3[i + 4]);
        register __vector double va3_3 = *(__vector double*) (&a3[i + 6]);

        register __vector double vxr_0 = vec_xxpermdi(vx_0, vx_0, 2);
        register __vector double vxr_1 = vec_xxpermdi(vx_1, vx_1, 2);

        i += 8;

        vtemp0_p += vx_0*va0;
        vtemp0_r += vxr_0*va0;

        vtemp1_p += vx_0*va1;
        vtemp1_r += vxr_0*va1;

        vtemp2_p += vx_0*va2;
        vtemp2_r += vxr_0*va2;

        vtemp3_p += vx_0*va3;
        vtemp3_r += vxr_0*va3;

        vtemp0_p += vx_1*va0_1;
        vtemp0_r += vxr_1*va0_1;

        vtemp1_p += vx_1*va1_1;
        vtemp1_r += vxr_1*va1_1;
        vxr_0 = vec_xxpermdi(vx_2, vx_2, 2);
        vtemp2_p += vx_1*va2_1;
        vtemp2_r += vxr_1*va2_1;

        vtemp3_p += vx_1*va3_1;
        vtemp3_r += vxr_1*va3_1;

        vtemp0_p += vx_2*va0_2;
        vtemp0_r += vxr_0*va0_2;
        vxr_1 = vec_xxpermdi(vx_3, vx_3, 2);

        vtemp1_p += vx_2*va1_2;
        vtemp1_r += vxr_0*va1_2;

        vtemp2_p += vx_2*va2_2;
        vtemp2_r += vxr_0*va2_2;

        vtemp3_p += vx_2*va3_2;
        vtemp3_r += vxr_0*va3_2;

        vtemp0_p += vx_3*va0_3;
        vtemp0_r += vxr_1*va0_3;

        vtemp1_p += vx_3*va1_3;
        vtemp1_r += vxr_1*va1_3;

        vtemp2_p += vx_3*va2_3;
        vtemp2_r += vxr_1*va2_3;

        vtemp3_p += vx_3*va3_3;
        vtemp3_r += vxr_1*va3_3;

    }

#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )

    register FLOAT temp_r0 = vtemp0_p[0] - vtemp0_p[1];
    register FLOAT temp_i0 = vtemp0_r[0] + vtemp0_r[1];

    register FLOAT temp_r1 = vtemp1_p[0] - vtemp1_p[1];
    register FLOAT temp_i1 = vtemp1_r[0] + vtemp1_r[1];

    register FLOAT temp_r2 = vtemp2_p[0] - vtemp2_p[1];
    register FLOAT temp_i2 = vtemp2_r[0] + vtemp2_r[1];

    register FLOAT temp_r3 = vtemp3_p[0] - vtemp3_p[1];
    register FLOAT temp_i3 = vtemp3_r[0] + vtemp3_r[1];

#else
    register FLOAT temp_r0 = vtemp0_p[0] + vtemp0_p[1];
    register FLOAT temp_i0 = vtemp0_r[0] - vtemp0_r[1];

    register FLOAT temp_r1 = vtemp1_p[0] + vtemp1_p[1];
    register FLOAT temp_i1 = vtemp1_r[0] - vtemp1_r[1];

    register FLOAT temp_r2 = vtemp2_p[0] + vtemp2_p[1];
    register FLOAT temp_i2 = vtemp2_r[0] - vtemp2_r[1];

    register FLOAT temp_r3 = vtemp3_p[0] + vtemp3_p[1];
    register FLOAT temp_i3 = vtemp3_r[0] - vtemp3_r[1];

#endif    

#if !defined(XCONJ)

    y[0] += alpha_r * temp_r0 - alpha_i * temp_i0;
    y[1] += alpha_r * temp_i0 + alpha_i * temp_r0;
    y[2] += alpha_r * temp_r1 - alpha_i * temp_i1;
    y[3] += alpha_r * temp_i1 + alpha_i * temp_r1;
    y[4] += alpha_r * temp_r2 - alpha_i * temp_i2;
    y[5] += alpha_r * temp_i2 + alpha_i * temp_r2;
    y[6] += alpha_r * temp_r3 - alpha_i * temp_i3;
    y[7] += alpha_r * temp_i3 + alpha_i * temp_r3;

#else

    y[0] += alpha_r * temp_r0 + alpha_i * temp_i0;
    y[1] -= alpha_r * temp_i0 - alpha_i * temp_r0;
    y[2] += alpha_r * temp_r1 + alpha_i * temp_i1;
    y[3] -= alpha_r * temp_i1 - alpha_i * temp_r1;
    y[4] += alpha_r * temp_r2 + alpha_i * temp_i2;
    y[5] -= alpha_r * temp_i2 - alpha_i * temp_r2;
    y[6] += alpha_r * temp_r3 + alpha_i * temp_i3;
    y[7] -= alpha_r * temp_i3 - alpha_i * temp_r3;

#endif
}

#endif
#else

static void zgemv_kernel_4x4(BLASLONG n, BLASLONG lda, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha_r, FLOAT alpha_i) {
    BLASLONG i;
    FLOAT *a0, *a1, *a2, *a3;
    a0 = ap;
    a1 = ap + lda;
    a2 = a1 + lda;
    a3 = a2 + lda;

    FLOAT temp_r0 = 0.0;
    FLOAT temp_r1 = 0.0;
    FLOAT temp_r2 = 0.0;
    FLOAT temp_r3 = 0.0;
    FLOAT temp_i0 = 0.0;
    FLOAT temp_i1 = 0.0;
    FLOAT temp_i2 = 0.0;
    FLOAT temp_i3 = 0.0;

    for (i = 0; i < 2 * n; i += 2) {
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
        temp_r0 += a0[i] * x[i] - a0[i + 1] * x[i + 1];
        temp_i0 += a0[i] * x[i + 1] + a0[i + 1] * x[i];
        temp_r1 += a1[i] * x[i] - a1[i + 1] * x[i + 1];
        temp_i1 += a1[i] * x[i + 1] + a1[i + 1] * x[i];
        temp_r2 += a2[i] * x[i] - a2[i + 1] * x[i + 1];
        temp_i2 += a2[i] * x[i + 1] + a2[i + 1] * x[i];
        temp_r3 += a3[i] * x[i] - a3[i + 1] * x[i + 1];
        temp_i3 += a3[i] * x[i + 1] + a3[i + 1] * x[i];
#else
        temp_r0 += a0[i] * x[i] + a0[i + 1] * x[i + 1];
        temp_i0 += a0[i] * x[i + 1] - a0[i + 1] * x[i];
        temp_r1 += a1[i] * x[i] + a1[i + 1] * x[i + 1];
        temp_i1 += a1[i] * x[i + 1] - a1[i + 1] * x[i];
        temp_r2 += a2[i] * x[i] + a2[i + 1] * x[i + 1];
        temp_i2 += a2[i] * x[i + 1] - a2[i + 1] * x[i];
        temp_r3 += a3[i] * x[i] + a3[i + 1] * x[i + 1];
        temp_i3 += a3[i] * x[i + 1] - a3[i + 1] * x[i];
#endif
    }

#if !defined(XCONJ)

    y[0] += alpha_r * temp_r0 - alpha_i * temp_i0;
    y[1] += alpha_r * temp_i0 + alpha_i * temp_r0;
    y[2] += alpha_r * temp_r1 - alpha_i * temp_i1;
    y[3] += alpha_r * temp_i1 + alpha_i * temp_r1;
    y[4] += alpha_r * temp_r2 - alpha_i * temp_i2;
    y[5] += alpha_r * temp_i2 + alpha_i * temp_r2;
    y[6] += alpha_r * temp_r3 - alpha_i * temp_i3;
    y[7] += alpha_r * temp_i3 + alpha_i * temp_r3;

#else

    y[0] += alpha_r * temp_r0 + alpha_i * temp_i0;
    y[1] -= alpha_r * temp_i0 - alpha_i * temp_r0;
    y[2] += alpha_r * temp_r1 + alpha_i * temp_i1;
    y[3] -= alpha_r * temp_i1 - alpha_i * temp_r1;
    y[4] += alpha_r * temp_r2 + alpha_i * temp_i2;
    y[5] -= alpha_r * temp_i2 - alpha_i * temp_r2;
    y[6] += alpha_r * temp_r3 + alpha_i * temp_i3;
    y[7] -= alpha_r * temp_i3 - alpha_i * temp_r3;

#endif
}

#endif

#ifdef HAVE_KERNEL_4x2_VEC

static void zgemv_kernel_4x2(BLASLONG n, BLASLONG lda, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha_r, FLOAT alpha_i) {
    BLASLONG i;
    FLOAT *a0, *a1;
    a0 = ap;
    a1 = ap + lda; 
    //p for positive(real*real,image*image) r for image (real*image,image*real)
    register __vector double vtemp0_p = {0.0, 0.0};
    register __vector double vtemp0_r = {0.0, 0.0};
    register __vector double vtemp1_p = {0.0, 0.0};
    register __vector double vtemp1_r = {0.0, 0.0}; 
    i = 0;
    n = n << 1;
    while (i < n) {

        register __vector double vx_0 = *(__vector double*) (&x[i]);
        register __vector double vx_1 = *(__vector double*) (&x[i + 2]);
        register __vector double vx_2 = *(__vector double*) (&x[i + 4]);
        register __vector double vx_3 = *(__vector double*) (&x[i + 6]);

        register __vector double va0 = *(__vector double*) (&a0[i]);
        register __vector double va0_1 = *(__vector double*) (&a0[i + 2]);
        register __vector double va0_2 = *(__vector double*) (&a0[i + 4]);
        register __vector double va0_3 = *(__vector double*) (&a0[i + 6]);

        register __vector double va1 = *(__vector double*) (&a1[i]);
        register __vector double va1_1 = *(__vector double*) (&a1[i + 2]);
        register __vector double va1_2 = *(__vector double*) (&a1[i + 4]);
        register __vector double va1_3 = *(__vector double*) (&a1[i + 6]);

        register __vector double vxr_0 = vec_xxpermdi(vx_0, vx_0, 2);
        register __vector double vxr_1 = vec_xxpermdi(vx_1, vx_1, 2);

        i += 8;

        vtemp0_p += vx_0*va0;
        vtemp0_r += vxr_0*va0;

        vtemp1_p += vx_0*va1;
        vtemp1_r += vxr_0*va1;

        vxr_0 = vec_xxpermdi(vx_2, vx_2, 2);  
        vtemp0_p += vx_1*va0_1;
        vtemp0_r += vxr_1*va0_1;

        vtemp1_p += vx_1*va1_1;
        vtemp1_r += vxr_1*va1_1;
        vxr_1 = vec_xxpermdi(vx_3, vx_3, 2);

        vtemp0_p += vx_2*va0_2;
        vtemp0_r += vxr_0*va0_2;

        vtemp1_p += vx_2*va1_2;
        vtemp1_r += vxr_0*va1_2;

        vtemp0_p += vx_3*va0_3;
        vtemp0_r += vxr_1*va0_3;

        vtemp1_p += vx_3*va1_3;
        vtemp1_r += vxr_1*va1_3;
 
    }

#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
    register FLOAT temp_r0 = vtemp0_p[0] - vtemp0_p[1];
    register FLOAT temp_i0 = vtemp0_r[0] + vtemp0_r[1];

    register FLOAT temp_r1 = vtemp1_p[0] - vtemp1_p[1];
    register FLOAT temp_i1 = vtemp1_r[0] + vtemp1_r[1]; 

#else
    register FLOAT temp_r0 = vtemp0_p[0] + vtemp0_p[1];
    register FLOAT temp_i0 = vtemp0_r[0] - vtemp0_r[1];

    register FLOAT temp_r1 = vtemp1_p[0] + vtemp1_p[1];
    register FLOAT temp_i1 = vtemp1_r[0] - vtemp1_r[1];

#endif    

#if !defined(XCONJ)

    y[0] += alpha_r * temp_r0 - alpha_i * temp_i0;
    y[1] += alpha_r * temp_i0 + alpha_i * temp_r0;
    y[2] += alpha_r * temp_r1 - alpha_i * temp_i1;
    y[3] += alpha_r * temp_i1 + alpha_i * temp_r1;

#else

    y[0] += alpha_r * temp_r0 + alpha_i * temp_i0;
    y[1] -= alpha_r * temp_i0 - alpha_i * temp_r0;
    y[2] += alpha_r * temp_r1 + alpha_i * temp_i1;
    y[3] -= alpha_r * temp_i1 - alpha_i * temp_r1;

#endif
}

#else

static void zgemv_kernel_4x2(BLASLONG n, BLASLONG lda, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha_r, FLOAT alpha_i) {
    BLASLONG i;
    FLOAT *a0, *a1;
    a0 = ap;
    a1 = ap + lda;

    FLOAT temp_r0 = 0.0;
    FLOAT temp_r1 = 0.0;
    FLOAT temp_i0 = 0.0;
    FLOAT temp_i1 = 0.0;

    for (i = 0; i < 2 * n; i += 2) {
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
        temp_r0 += a0[i] * x[i] - a0[i + 1] * x[i + 1];
        temp_i0 += a0[i] * x[i + 1] + a0[i + 1] * x[i];
        temp_r1 += a1[i] * x[i] - a1[i + 1] * x[i + 1];
        temp_i1 += a1[i] * x[i + 1] + a1[i + 1] * x[i];
#else
        temp_r0 += a0[i] * x[i] + a0[i + 1] * x[i + 1];
        temp_i0 += a0[i] * x[i + 1] - a0[i + 1] * x[i];
        temp_r1 += a1[i] * x[i] + a1[i + 1] * x[i + 1];
        temp_i1 += a1[i] * x[i + 1] - a1[i + 1] * x[i];
#endif
    }

#if !defined(XCONJ)

    y[0] += alpha_r * temp_r0 - alpha_i * temp_i0;
    y[1] += alpha_r * temp_i0 + alpha_i * temp_r0;
    y[2] += alpha_r * temp_r1 - alpha_i * temp_i1;
    y[3] += alpha_r * temp_i1 + alpha_i * temp_r1;

#else

    y[0] += alpha_r * temp_r0 + alpha_i * temp_i0;
    y[1] -= alpha_r * temp_i0 - alpha_i * temp_r0;
    y[2] += alpha_r * temp_r1 + alpha_i * temp_i1;
    y[3] -= alpha_r * temp_i1 - alpha_i * temp_r1;

#endif
}

#endif

#ifdef HAVE_KERNEL_4x1_VEC

static void zgemv_kernel_4x1(BLASLONG n, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha_r, FLOAT alpha_i) {
    BLASLONG i;
    FLOAT *a0 ;
    a0 = ap;  
    //p for positive(real*real,image*image) r for image (real*image,image*real)
    register __vector double vtemp0_p = {0.0, 0.0};
    register __vector double vtemp0_r = {0.0, 0.0};
    i = 0;
    n = n << 1;
    while (i < n) {

        register __vector double vx_0 = *(__vector double*) (&x[i]);
        register __vector double vx_1 = *(__vector double*) (&x[i + 2]);
        register __vector double vx_2 = *(__vector double*) (&x[i + 4]);
        register __vector double vx_3 = *(__vector double*) (&x[i + 6]);

        register __vector double va0 = *(__vector double*) (&a0[i]);
        register __vector double va0_1 = *(__vector double*) (&a0[i + 2]);
        register __vector double va0_2 = *(__vector double*) (&a0[i + 4]);
        register __vector double va0_3 = *(__vector double*) (&a0[i + 6]);
       
        register __vector double vxr_0 = vec_xxpermdi(vx_0, vx_0, 2);
        register __vector double vxr_1 = vec_xxpermdi(vx_1, vx_1, 2);

        i += 8;

        vtemp0_p += vx_0*va0;
        vtemp0_r += vxr_0*va0;
 
        vxr_0 = vec_xxpermdi(vx_2, vx_2, 2);  
        vtemp0_p += vx_1*va0_1;
        vtemp0_r += vxr_1*va0_1;
 
        vxr_1 = vec_xxpermdi(vx_3, vx_3, 2);

        vtemp0_p += vx_2*va0_2;
        vtemp0_r += vxr_0*va0_2;
 
        vtemp0_p += vx_3*va0_3;
        vtemp0_r += vxr_1*va0_3;
 
    }

#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
    register FLOAT temp_r0 = vtemp0_p[0] - vtemp0_p[1];
    register FLOAT temp_i0 = vtemp0_r[0] + vtemp0_r[1];

#else
    register FLOAT temp_r0 = vtemp0_p[0] + vtemp0_p[1];
    register FLOAT temp_i0 = vtemp0_r[0] - vtemp0_r[1]; 

#endif    

#if !defined(XCONJ)

    y[0] += alpha_r * temp_r0 - alpha_i * temp_i0;
    y[1] += alpha_r * temp_i0 + alpha_i * temp_r0; 

#else

    y[0] += alpha_r * temp_r0 + alpha_i * temp_i0;
    y[1] -= alpha_r * temp_i0 - alpha_i * temp_r0; 
#endif

}

#else

static void zgemv_kernel_4x1(BLASLONG n, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha_r, FLOAT alpha_i) {
    BLASLONG i;
    FLOAT *a0;
    a0 = ap;

    FLOAT temp_r0 = 0.0;
    FLOAT temp_i0 = 0.0;

    for (i = 0; i < 2 * n; i += 2) {
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
        temp_r0 += a0[i] * x[i] - a0[i + 1] * x[i + 1];
        temp_i0 += a0[i] * x[i + 1] + a0[i + 1] * x[i];
#else
        temp_r0 += a0[i] * x[i] + a0[i + 1] * x[i + 1];
        temp_i0 += a0[i] * x[i + 1] - a0[i + 1] * x[i];
#endif
    }

#if !defined(XCONJ)

    y[0] += alpha_r * temp_r0 - alpha_i * temp_i0;
    y[1] += alpha_r * temp_i0 + alpha_i * temp_r0;

#else

    y[0] += alpha_r * temp_r0 + alpha_i * temp_i0;
    y[1] -= alpha_r * temp_i0 - alpha_i * temp_r0;

#endif

}

#endif

static __attribute__((always_inline)) inline void copy_x(BLASLONG n, FLOAT *src, FLOAT *dest, BLASLONG inc_src) {
    BLASLONG i;
    for (i = 0; i < n; i++) {
        *dest = *src;
        *(dest + 1) = *(src + 1);
        dest += 2;
        src += inc_src;
    }
}

int CNAME(BLASLONG m, BLASLONG n, BLASLONG dummy1, FLOAT alpha_r, FLOAT alpha_i, FLOAT *a, BLASLONG lda, FLOAT *x, BLASLONG inc_x, FLOAT *y, BLASLONG inc_y, FLOAT *buffer) {
    BLASLONG i;
    BLASLONG j;
    FLOAT *a_ptr;
    FLOAT *x_ptr;
    FLOAT *y_ptr;

    BLASLONG n1;
    BLASLONG m1;
    BLASLONG m2;
    BLASLONG m3;
    BLASLONG n2;
    FLOAT ybuffer[8] __attribute__((aligned(16)));
    FLOAT *xbuffer;

    if (m < 1) return (0);
    if (n < 1) return (0);

    inc_x <<= 1;
    inc_y <<= 1;
    lda <<= 1;

    xbuffer = buffer;

    n1 = n >> 2;
    n2 = n & 3;

    m3 = m & 3;
    m1 = m - m3;
    m2 = (m & (NBMAX - 1)) - m3;

    BLASLONG NB = NBMAX;

    while (NB == NBMAX) {

        m1 -= NB;
        if (m1 < 0) {
            if (m2 == 0) break;
            NB = m2;
        }

        y_ptr = y;
        a_ptr = a;
        x_ptr = x;

        if (inc_x != 2)
            copy_x(NB, x_ptr, xbuffer, inc_x);
        else
            xbuffer = x_ptr;

        if (inc_y == 2) {

            for (i = 0; i < n1; i++) {
                zgemv_kernel_4x4(NB, lda, a_ptr, xbuffer, y_ptr, alpha_r, alpha_i);
                a_ptr += lda << 2;
                y_ptr += 8;

            }

            if (n2 & 2) {
                zgemv_kernel_4x2(NB, lda, a_ptr, xbuffer, y_ptr, alpha_r, alpha_i);
                a_ptr += lda << 1;
                y_ptr += 4;

            }

            if (n2 & 1) {
                zgemv_kernel_4x1(NB, a_ptr, xbuffer, y_ptr, alpha_r, alpha_i);
                a_ptr += lda;
                y_ptr += 2;

            }

        } else {

            for (i = 0; i < n1; i++) {
                memset(ybuffer, 0, sizeof (ybuffer));
                zgemv_kernel_4x4(NB, lda, a_ptr, xbuffer, ybuffer, alpha_r, alpha_i);

                a_ptr += lda << 2;

                y_ptr[0] += ybuffer[0];
                y_ptr[1] += ybuffer[1];
                y_ptr += inc_y;
                y_ptr[0] += ybuffer[2];
                y_ptr[1] += ybuffer[3];
                y_ptr += inc_y;
                y_ptr[0] += ybuffer[4];
                y_ptr[1] += ybuffer[5];
                y_ptr += inc_y;
                y_ptr[0] += ybuffer[6];
                y_ptr[1] += ybuffer[7];
                y_ptr += inc_y;

            }

            for (i = 0; i < n2; i++) {
                memset(ybuffer, 0, sizeof (ybuffer));
                zgemv_kernel_4x1(NB, a_ptr, xbuffer, ybuffer, alpha_r, alpha_i);
                a_ptr += lda;
                y_ptr[0] += ybuffer[0];
                y_ptr[1] += ybuffer[1];
                y_ptr += inc_y;

            }

        }
        a += 2 * NB;
        x += NB * inc_x;
    }

    if (m3 == 0) return (0);

    x_ptr = x;
    j = 0;
    a_ptr = a;
    y_ptr = y;

    if (m3 == 3) {

        FLOAT temp_r;
        FLOAT temp_i;
        FLOAT x0 = x_ptr[0];
        FLOAT x1 = x_ptr[1];
        x_ptr += inc_x;
        FLOAT x2 = x_ptr[0];
        FLOAT x3 = x_ptr[1];
        x_ptr += inc_x;
        FLOAT x4 = x_ptr[0];
        FLOAT x5 = x_ptr[1];
        while (j < n) {
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
            temp_r = a_ptr[0] * x0 - a_ptr[1] * x1;
            temp_i = a_ptr[0] * x1 + a_ptr[1] * x0;
            temp_r += a_ptr[2] * x2 - a_ptr[3] * x3;
            temp_i += a_ptr[2] * x3 + a_ptr[3] * x2;
            temp_r += a_ptr[4] * x4 - a_ptr[5] * x5;
            temp_i += a_ptr[4] * x5 + a_ptr[5] * x4;
#else

            temp_r = a_ptr[0] * x0 + a_ptr[1] * x1;
            temp_i = a_ptr[0] * x1 - a_ptr[1] * x0;
            temp_r += a_ptr[2] * x2 + a_ptr[3] * x3;
            temp_i += a_ptr[2] * x3 - a_ptr[3] * x2;
            temp_r += a_ptr[4] * x4 + a_ptr[5] * x5;
            temp_i += a_ptr[4] * x5 - a_ptr[5] * x4;
#endif

#if !defined(XCONJ) 
            y_ptr[0] += alpha_r * temp_r - alpha_i * temp_i;
            y_ptr[1] += alpha_r * temp_i + alpha_i * temp_r;
#else
            y_ptr[0] += alpha_r * temp_r + alpha_i * temp_i;
            y_ptr[1] -= alpha_r * temp_i - alpha_i * temp_r;
#endif

            a_ptr += lda;
            y_ptr += inc_y;
            j++;
        }
        return (0);
    }

    if (m3 == 2) {

        FLOAT temp_r;
        FLOAT temp_i;
        FLOAT temp_r1;
        FLOAT temp_i1;
        FLOAT x0 = x_ptr[0];
        FLOAT x1 = x_ptr[1];
        x_ptr += inc_x;
        FLOAT x2 = x_ptr[0];
        FLOAT x3 = x_ptr[1];

        while (j < (n & -2)) {
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
            temp_r = a_ptr[0] * x0 - a_ptr[1] * x1;
            temp_i = a_ptr[0] * x1 + a_ptr[1] * x0;
            temp_r += a_ptr[2] * x2 - a_ptr[3] * x3;
            temp_i += a_ptr[2] * x3 + a_ptr[3] * x2;
            a_ptr += lda;
            temp_r1 = a_ptr[0] * x0 - a_ptr[1] * x1;
            temp_i1 = a_ptr[0] * x1 + a_ptr[1] * x0;
            temp_r1 += a_ptr[2] * x2 - a_ptr[3] * x3;
            temp_i1 += a_ptr[2] * x3 + a_ptr[3] * x2;
#else

            temp_r = a_ptr[0] * x0 + a_ptr[1] * x1;
            temp_i = a_ptr[0] * x1 - a_ptr[1] * x0;
            temp_r += a_ptr[2] * x2 + a_ptr[3] * x3;
            temp_i += a_ptr[2] * x3 - a_ptr[3] * x2;
            a_ptr += lda;
            temp_r1 = a_ptr[0] * x0 + a_ptr[1] * x1;
            temp_i1 = a_ptr[0] * x1 - a_ptr[1] * x0;
            temp_r1 += a_ptr[2] * x2 + a_ptr[3] * x3;
            temp_i1 += a_ptr[2] * x3 - a_ptr[3] * x2;
#endif

#if !defined(XCONJ) 
            y_ptr[0] += alpha_r * temp_r - alpha_i * temp_i;
            y_ptr[1] += alpha_r * temp_i + alpha_i * temp_r;
            y_ptr += inc_y;
            y_ptr[0] += alpha_r * temp_r1 - alpha_i * temp_i1;
            y_ptr[1] += alpha_r * temp_i1 + alpha_i * temp_r1;
#else
            y_ptr[0] += alpha_r * temp_r + alpha_i * temp_i;
            y_ptr[1] -= alpha_r * temp_i - alpha_i * temp_r;
            y_ptr += inc_y;
            y_ptr[0] += alpha_r * temp_r1 + alpha_i * temp_i1;
            y_ptr[1] -= alpha_r * temp_i1 - alpha_i * temp_r1;
#endif

            a_ptr += lda;
            y_ptr += inc_y;
            j += 2;
        }

        while (j < n) {
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
            temp_r = a_ptr[0] * x0 - a_ptr[1] * x1;
            temp_i = a_ptr[0] * x1 + a_ptr[1] * x0;
            temp_r += a_ptr[2] * x2 - a_ptr[3] * x3;
            temp_i += a_ptr[2] * x3 + a_ptr[3] * x2;
#else

            temp_r = a_ptr[0] * x0 + a_ptr[1] * x1;
            temp_i = a_ptr[0] * x1 - a_ptr[1] * x0;
            temp_r += a_ptr[2] * x2 + a_ptr[3] * x3;
            temp_i += a_ptr[2] * x3 - a_ptr[3] * x2;
#endif

#if !defined(XCONJ) 
            y_ptr[0] += alpha_r * temp_r - alpha_i * temp_i;
            y_ptr[1] += alpha_r * temp_i + alpha_i * temp_r;
#else
            y_ptr[0] += alpha_r * temp_r + alpha_i * temp_i;
            y_ptr[1] -= alpha_r * temp_i - alpha_i * temp_r;
#endif

            a_ptr += lda;
            y_ptr += inc_y;
            j++;
        }

        return (0);
    }

    if (m3 == 1) {

        FLOAT temp_r;
        FLOAT temp_i;
        FLOAT temp_r1;
        FLOAT temp_i1;
        FLOAT x0 = x_ptr[0];
        FLOAT x1 = x_ptr[1];

        while (j < (n & -2)) {
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
            temp_r = a_ptr[0] * x0 - a_ptr[1] * x1;
            temp_i = a_ptr[0] * x1 + a_ptr[1] * x0;
            a_ptr += lda;
            temp_r1 = a_ptr[0] * x0 - a_ptr[1] * x1;
            temp_i1 = a_ptr[0] * x1 + a_ptr[1] * x0;
#else

            temp_r = a_ptr[0] * x0 + a_ptr[1] * x1;
            temp_i = a_ptr[0] * x1 - a_ptr[1] * x0;
            a_ptr += lda;
            temp_r1 = a_ptr[0] * x0 + a_ptr[1] * x1;
            temp_i1 = a_ptr[0] * x1 - a_ptr[1] * x0;
#endif

#if !defined(XCONJ) 
            y_ptr[0] += alpha_r * temp_r - alpha_i * temp_i;
            y_ptr[1] += alpha_r * temp_i + alpha_i * temp_r;
            y_ptr += inc_y;
            y_ptr[0] += alpha_r * temp_r1 - alpha_i * temp_i1;
            y_ptr[1] += alpha_r * temp_i1 + alpha_i * temp_r1;
#else
            y_ptr[0] += alpha_r * temp_r + alpha_i * temp_i;
            y_ptr[1] -= alpha_r * temp_i - alpha_i * temp_r;
            y_ptr += inc_y;
            y_ptr[0] += alpha_r * temp_r1 + alpha_i * temp_i1;
            y_ptr[1] -= alpha_r * temp_i1 - alpha_i * temp_r1;
#endif

            a_ptr += lda;
            y_ptr += inc_y;
            j += 2;
        }

        while (j < n) {
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
            temp_r = a_ptr[0] * x0 - a_ptr[1] * x1;
            temp_i = a_ptr[0] * x1 + a_ptr[1] * x0;
#else

            temp_r = a_ptr[0] * x0 + a_ptr[1] * x1;
            temp_i = a_ptr[0] * x1 - a_ptr[1] * x0;
#endif

#if !defined(XCONJ) 
            y_ptr[0] += alpha_r * temp_r - alpha_i * temp_i;
            y_ptr[1] += alpha_r * temp_i + alpha_i * temp_r;
#else
            y_ptr[0] += alpha_r * temp_r + alpha_i * temp_i;
            y_ptr[1] -= alpha_r * temp_i - alpha_i * temp_r;
#endif

            a_ptr += lda;
            y_ptr += inc_y;
            j++;
        }
        return (0);
    }

    return (0);

}