cgemv_n_4.c

/***************************************************************************
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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
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#if (defined(__GNUC__) && __GNUC__ > 11) 
#pragma GCC optimize("no-tree-vectorize")
#endif

#include "common.h"

#if defined(HASWELL) || defined(ZEN) || defined (SKYLAKEX) || defined (COOPERLAKE) || defined (SAPPHIRERAPIDS)
#include "cgemv_n_microk_haswell-4.c"
#elif defined(BULLDOZER) || defined(PILEDRIVER) || defined(STEAMROLLER) || defined(EXCAVATOR)
#include "cgemv_n_microk_bulldozer-4.c"
#endif


#define NBMAX 2048

#ifndef HAVE_KERNEL_4x4

static void cgemv_kernel_4x4(BLASLONG n, FLOAT **ap, FLOAT *x, FLOAT *y)
{
	BLASLONG i;
	FLOAT *a0,*a1,*a2,*a3;
	a0 = ap[0];
	a1 = ap[1];
	a2 = ap[2];
	a3 = ap[3];

	for ( i=0; i< 2*n; i+=2 )
	{
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
		y[i]   += a0[i]*x[0] - a0[i+1] * x[1];
		y[i+1] += a0[i]*x[1] + a0[i+1] * x[0];
		y[i]   += a1[i]*x[2] - a1[i+1] * x[3];
		y[i+1] += a1[i]*x[3] + a1[i+1] * x[2];
		y[i]   += a2[i]*x[4] - a2[i+1] * x[5];
		y[i+1] += a2[i]*x[5] + a2[i+1] * x[4];
		y[i]   += a3[i]*x[6] - a3[i+1] * x[7];
		y[i+1] += a3[i]*x[7] + a3[i+1] * x[6];
#else 
		y[i]   += a0[i]*x[0] + a0[i+1] * x[1];
		y[i+1] += a0[i]*x[1] - a0[i+1] * x[0];
		y[i]   += a1[i]*x[2] + a1[i+1] * x[3];
		y[i+1] += a1[i]*x[3] - a1[i+1] * x[2];
		y[i]   += a2[i]*x[4] + a2[i+1] * x[5];
		y[i+1] += a2[i]*x[5] - a2[i+1] * x[4];
		y[i]   += a3[i]*x[6] + a3[i+1] * x[7];
		y[i+1] += a3[i]*x[7] - a3[i+1] * x[6];
#endif
	}
}
	
#endif



#ifndef HAVE_KERNEL_4x2

static void cgemv_kernel_4x2(BLASLONG n, FLOAT **ap, FLOAT *x, FLOAT *y)
{
	BLASLONG i;
	FLOAT *a0,*a1;
	a0 = ap[0];
	a1 = ap[1];

	for ( i=0; i< 2*n; i+=2 )
	{
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
		y[i]   += a0[i]*x[0] - a0[i+1] * x[1];
		y[i+1] += a0[i]*x[1] + a0[i+1] * x[0];
		y[i]   += a1[i]*x[2] - a1[i+1] * x[3];
		y[i+1] += a1[i]*x[3] + a1[i+1] * x[2];
#else 
		y[i]   += a0[i]*x[0] + a0[i+1] * x[1];
		y[i+1] += a0[i]*x[1] - a0[i+1] * x[0];
		y[i]   += a1[i]*x[2] + a1[i+1] * x[3];
		y[i+1] += a1[i]*x[3] - a1[i+1] * x[2];
#endif
	}
}
	
#endif




#ifndef HAVE_KERNEL_4x1


static void cgemv_kernel_4x1(BLASLONG n, FLOAT *ap, FLOAT *x, FLOAT *y)
{
	BLASLONG i;
	FLOAT *a0;
	a0 = ap;

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

	}
}


#endif


#ifndef HAVE_KERNEL_ADDY

static void add_y(BLASLONG n, FLOAT *src, FLOAT *dest, BLASLONG inc_dest,FLOAT alpha_r, FLOAT alpha_i)  __attribute__ ((noinline));

static void add_y(BLASLONG n, FLOAT *src, FLOAT *dest, BLASLONG inc_dest,FLOAT alpha_r, FLOAT alpha_i)
{
	BLASLONG i;

	if ( inc_dest != 2 )
	{

		FLOAT temp_r;
		FLOAT temp_i;
		for ( i=0; i<n; i++ )
		{
#if !defined(XCONJ) 
			temp_r = alpha_r * src[0] - alpha_i * src[1];
			temp_i = alpha_r * src[1] + alpha_i * src[0];
#else
			temp_r =  alpha_r * src[0] + alpha_i * src[1];
			temp_i = -alpha_r * src[1] + alpha_i * src[0];
#endif

			*dest += temp_r;
			*(dest+1) += temp_i;

			src+=2;
			dest += inc_dest;
		}
		return;
	}

	FLOAT temp_r0;
	FLOAT temp_i0;
	FLOAT temp_r1;
	FLOAT temp_i1;
	FLOAT temp_r2;
	FLOAT temp_i2;
	FLOAT temp_r3;
	FLOAT temp_i3;
	for ( i=0; i<n; i+=4 )
	{
#if !defined(XCONJ) 
		temp_r0 = alpha_r * src[0] - alpha_i * src[1];
		temp_i0 = alpha_r * src[1] + alpha_i * src[0];
		temp_r1 = alpha_r * src[2] - alpha_i * src[3];
		temp_i1 = alpha_r * src[3] + alpha_i * src[2];
		temp_r2 = alpha_r * src[4] - alpha_i * src[5];
		temp_i2 = alpha_r * src[5] + alpha_i * src[4];
		temp_r3 = alpha_r * src[6] - alpha_i * src[7];
		temp_i3 = alpha_r * src[7] + alpha_i * src[6];
#else
		temp_r0 =  alpha_r * src[0] + alpha_i * src[1];
		temp_i0 = -alpha_r * src[1] + alpha_i * src[0];
		temp_r1 =  alpha_r * src[2] + alpha_i * src[3];
		temp_i1 = -alpha_r * src[3] + alpha_i * src[2];
		temp_r2 =  alpha_r * src[4] + alpha_i * src[5];
		temp_i2 = -alpha_r * src[5] + alpha_i * src[4];
		temp_r3 =  alpha_r * src[6] + alpha_i * src[7];
		temp_i3 = -alpha_r * src[7] + alpha_i * src[6];
#endif

		dest[0]   += temp_r0;
		dest[1]   += temp_i0;
		dest[2]   += temp_r1;
		dest[3]   += temp_i1;
		dest[4]   += temp_r2;
		dest[5]   += temp_i2;
		dest[6]   += temp_r3;
		dest[7]   += temp_i3;

		src  += 8;
		dest += 8;
	}
	return;

}

#endif

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;
	FLOAT *a_ptr;
	FLOAT *x_ptr;
	FLOAT *y_ptr;
	FLOAT *ap[4];
	BLASLONG n1;
	BLASLONG m1;
	BLASLONG m2;
	BLASLONG m3;
	BLASLONG n2;
	BLASLONG lda4;
	FLOAT xbuffer[8],*ybuffer;


#if 0
printf("%s %d %d %.16f %.16f %d %d %d\n","zgemv_n",m,n,alpha_r,alpha_i,lda,inc_x,inc_y);
#endif

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

	ybuffer = buffer;
	
	inc_x *= 2;
	inc_y *= 2;
	lda   *= 2;
	lda4  = 4 * lda;

	n1 = n / 4 ;
	n2 = n % 4 ;
	
	m3 = m % 4;
	m1 = m - ( m % 4 );
	m2 = (m % NBMAX) - (m % 4) ;
	
	y_ptr = y;

	BLASLONG NB = NBMAX;

	while ( NB == NBMAX )
	{
		
		m1 -= NB;
		if ( m1 < 0)
		{
			if ( m2 == 0 ) break;	
			NB = m2;
		}
		
		a_ptr = a;
		ap[0] = a_ptr;
		ap[1] = a_ptr + lda;
		ap[2] = ap[1] + lda;
		ap[3] = ap[2] + lda;
		x_ptr = x;
		//zero_y(NB,ybuffer);
		memset(ybuffer,0,NB*8);

		if ( inc_x == 2 )
		{

			for( i = 0; i < n1 ; i++)
			{
				cgemv_kernel_4x4(NB,ap,x_ptr,ybuffer);
				ap[0] += lda4;
				ap[1] += lda4;
				ap[2] += lda4;
				ap[3] += lda4;
				a_ptr += lda4;
				x_ptr += 8;	
			}

			if ( n2 & 2 )
			{
				cgemv_kernel_4x2(NB,ap,x_ptr,ybuffer);
				x_ptr += 4;	
				a_ptr += 2 * lda;

			}

			if ( n2 & 1 )
			{
				cgemv_kernel_4x1(NB,a_ptr,x_ptr,ybuffer);
				/* x_ptr += 2;	
				a_ptr += lda; */

			}
		}
		else
		{

			for( i = 0; i < n1 ; i++)
			{

				xbuffer[0] = x_ptr[0];
				xbuffer[1] = x_ptr[1];
				x_ptr += inc_x;	
				xbuffer[2] = x_ptr[0];
				xbuffer[3] = x_ptr[1];
				x_ptr += inc_x;	
				xbuffer[4] = x_ptr[0];
				xbuffer[5] = x_ptr[1];
				x_ptr += inc_x;	
				xbuffer[6] = x_ptr[0];
				xbuffer[7] = x_ptr[1];
				x_ptr += inc_x;	

				cgemv_kernel_4x4(NB,ap,xbuffer,ybuffer);
				ap[0] += lda4;
				ap[1] += lda4;
				ap[2] += lda4;
				ap[3] += lda4;
				a_ptr += lda4;
			}

			for( i = 0; i < n2 ; i++)
			{
				xbuffer[0] = x_ptr[0];
				xbuffer[1] = x_ptr[1];
				x_ptr += inc_x;	
				cgemv_kernel_4x1(NB,a_ptr,xbuffer,ybuffer);
				a_ptr += 1 * lda;

			}

		}

		add_y(NB,ybuffer,y_ptr,inc_y,alpha_r,alpha_i);
		a     += 2 * NB;
		y_ptr += NB * inc_y;
	}

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

	if ( m3 == 1 )
	{
		a_ptr = a;
		x_ptr = x;
		FLOAT temp_r = 0.0;
		FLOAT temp_i = 0.0;

		if ( lda == 2 && inc_x == 2 )
		{


			for( i=0 ; i < (n & -2); i+=2 )
			{
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
				temp_r += a_ptr[0] * x_ptr[0] - a_ptr[1] * x_ptr[1];
				temp_i += a_ptr[0] * x_ptr[1] + a_ptr[1] * x_ptr[0];
				temp_r += a_ptr[2] * x_ptr[2] - a_ptr[3] * x_ptr[3];
				temp_i += a_ptr[2] * x_ptr[3] + a_ptr[3] * x_ptr[2];
#else
				temp_r += a_ptr[0] * x_ptr[0] + a_ptr[1] * x_ptr[1];
				temp_i += a_ptr[0] * x_ptr[1] - a_ptr[1] * x_ptr[0];
				temp_r += a_ptr[2] * x_ptr[2] + a_ptr[3] * x_ptr[3];
				temp_i += a_ptr[2] * x_ptr[3] - a_ptr[3] * x_ptr[2];
#endif

				a_ptr += 4;
				x_ptr += 4;
			}



			for( ; i < n; i++ )
			{
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
				temp_r += a_ptr[0] * x_ptr[0] - a_ptr[1] * x_ptr[1];
				temp_i += a_ptr[0] * x_ptr[1] + a_ptr[1] * x_ptr[0];
#else
				temp_r += a_ptr[0] * x_ptr[0] + a_ptr[1] * x_ptr[1];
				temp_i += a_ptr[0] * x_ptr[1] - a_ptr[1] * x_ptr[0];
#endif

				a_ptr += 2;
				x_ptr += 2;
			}


		}
		else
		{

			for( i = 0; i < n; i++ )
			{
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
				temp_r += a_ptr[0] * x_ptr[0] - a_ptr[1] * x_ptr[1];
				temp_i += a_ptr[0] * x_ptr[1] + a_ptr[1] * x_ptr[0];
#else
				temp_r += a_ptr[0] * x_ptr[0] + a_ptr[1] * x_ptr[1];
				temp_i += a_ptr[0] * x_ptr[1] - a_ptr[1] * x_ptr[0];
#endif

				a_ptr += lda;
				x_ptr += inc_x;
			}

		}
#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
		return(0);
	}

	if ( m3 == 2 )
	{
		a_ptr = a;
		x_ptr = x;
		FLOAT temp_r0 = 0.0;
		FLOAT temp_i0 = 0.0;
		FLOAT temp_r1 = 0.0;
		FLOAT temp_i1 = 0.0;

		if ( lda == 4 && inc_x == 2 )
		{

			for( i = 0; i < (n & -2); i+=2 )
			{
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )

				temp_r0 += a_ptr[0] * x_ptr[0] - a_ptr[1] * x_ptr[1];
				temp_i0 += a_ptr[0] * x_ptr[1] + a_ptr[1] * x_ptr[0];
				temp_r1 += a_ptr[2] * x_ptr[0] - a_ptr[3] * x_ptr[1];
				temp_i1 += a_ptr[2] * x_ptr[1] + a_ptr[3] * x_ptr[0];

				temp_r0 += a_ptr[4] * x_ptr[2] - a_ptr[5] * x_ptr[3];
				temp_i0 += a_ptr[4] * x_ptr[3] + a_ptr[5] * x_ptr[2];
				temp_r1 += a_ptr[6] * x_ptr[2] - a_ptr[7] * x_ptr[3];
				temp_i1 += a_ptr[6] * x_ptr[3] + a_ptr[7] * x_ptr[2];

#else
				temp_r0 += a_ptr[0] * x_ptr[0] + a_ptr[1] * x_ptr[1];
				temp_i0 += a_ptr[0] * x_ptr[1] - a_ptr[1] * x_ptr[0];
				temp_r1 += a_ptr[2] * x_ptr[0] + a_ptr[3] * x_ptr[1];
				temp_i1 += a_ptr[2] * x_ptr[1] - a_ptr[3] * x_ptr[0];

				temp_r0 += a_ptr[4] * x_ptr[2] + a_ptr[5] * x_ptr[3];
				temp_i0 += a_ptr[4] * x_ptr[3] - a_ptr[5] * x_ptr[2];
				temp_r1 += a_ptr[6] * x_ptr[2] + a_ptr[7] * x_ptr[3];
				temp_i1 += a_ptr[6] * x_ptr[3] - a_ptr[7] * x_ptr[2];

#endif

				a_ptr += 8;
				x_ptr += 4;
			}


			for( ; i < n; i++ )
			{
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
				temp_r0 += a_ptr[0] * x_ptr[0] - a_ptr[1] * x_ptr[1];
				temp_i0 += a_ptr[0] * x_ptr[1] + a_ptr[1] * x_ptr[0];
				temp_r1 += a_ptr[2] * x_ptr[0] - a_ptr[3] * x_ptr[1];
				temp_i1 += a_ptr[2] * x_ptr[1] + a_ptr[3] * x_ptr[0];
#else
				temp_r0 += a_ptr[0] * x_ptr[0] + a_ptr[1] * x_ptr[1];
				temp_i0 += a_ptr[0] * x_ptr[1] - a_ptr[1] * x_ptr[0];
				temp_r1 += a_ptr[2] * x_ptr[0] + a_ptr[3] * x_ptr[1];
				temp_i1 += a_ptr[2] * x_ptr[1] - a_ptr[3] * x_ptr[0];
#endif

				a_ptr += 4;
				x_ptr += 2;
			}


		}
		else
		{

			for( i=0 ; i < n; i++ )
			{
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
				temp_r0 += a_ptr[0] * x_ptr[0] - a_ptr[1] * x_ptr[1];
				temp_i0 += a_ptr[0] * x_ptr[1] + a_ptr[1] * x_ptr[0];
				temp_r1 += a_ptr[2] * x_ptr[0] - a_ptr[3] * x_ptr[1];
				temp_i1 += a_ptr[2] * x_ptr[1] + a_ptr[3] * x_ptr[0];
#else
				temp_r0 += a_ptr[0] * x_ptr[0] + a_ptr[1] * x_ptr[1];
				temp_i0 += a_ptr[0] * x_ptr[1] - a_ptr[1] * x_ptr[0];
				temp_r1 += a_ptr[2] * x_ptr[0] + a_ptr[3] * x_ptr[1];
				temp_i1 += a_ptr[2] * x_ptr[1] - a_ptr[3] * x_ptr[0];
#endif

				a_ptr += lda;
				x_ptr += inc_x;
			}


		}
#if !defined(XCONJ) 
		y_ptr[0] += alpha_r * temp_r0 - alpha_i * temp_i0;
		y_ptr[1] += alpha_r * temp_i0 + alpha_i * temp_r0;
		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_r0 + alpha_i * temp_i0;
		y_ptr[1] -= alpha_r * temp_i0 - alpha_i * temp_r0;
		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
		return(0);
	}


	if ( m3 == 3 )
	{
		a_ptr = a;
		x_ptr = x;
		FLOAT temp_r0 = 0.0;
		FLOAT temp_i0 = 0.0;
		FLOAT temp_r1 = 0.0;
		FLOAT temp_i1 = 0.0;
		FLOAT temp_r2 = 0.0;
		FLOAT temp_i2 = 0.0;

		if ( lda == 6 && inc_x == 2 )
		{

			for( i=0 ; i < n; i++ )
			{
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
				temp_r0 += a_ptr[0] * x_ptr[0] - a_ptr[1] * x_ptr[1];
				temp_i0 += a_ptr[0] * x_ptr[1] + a_ptr[1] * x_ptr[0];
				temp_r1 += a_ptr[2] * x_ptr[0] - a_ptr[3] * x_ptr[1];
				temp_i1 += a_ptr[2] * x_ptr[1] + a_ptr[3] * x_ptr[0];
				temp_r2 += a_ptr[4] * x_ptr[0] - a_ptr[5] * x_ptr[1];
				temp_i2 += a_ptr[4] * x_ptr[1] + a_ptr[5] * x_ptr[0];
#else
				temp_r0 += a_ptr[0] * x_ptr[0] + a_ptr[1] * x_ptr[1];
				temp_i0 += a_ptr[0] * x_ptr[1] - a_ptr[1] * x_ptr[0];
				temp_r1 += a_ptr[2] * x_ptr[0] + a_ptr[3] * x_ptr[1];
				temp_i1 += a_ptr[2] * x_ptr[1] - a_ptr[3] * x_ptr[0];
				temp_r2 += a_ptr[4] * x_ptr[0] + a_ptr[5] * x_ptr[1];
				temp_i2 += a_ptr[4] * x_ptr[1] - a_ptr[5] * x_ptr[0];
#endif

				a_ptr += 6;
				x_ptr += 2;
			}


		}
		else
		{

			for( i = 0; i < n; i++ )
			{
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
				temp_r0 += a_ptr[0] * x_ptr[0] - a_ptr[1] * x_ptr[1];
				temp_i0 += a_ptr[0] * x_ptr[1] + a_ptr[1] * x_ptr[0];
				temp_r1 += a_ptr[2] * x_ptr[0] - a_ptr[3] * x_ptr[1];
				temp_i1 += a_ptr[2] * x_ptr[1] + a_ptr[3] * x_ptr[0];
				temp_r2 += a_ptr[4] * x_ptr[0] - a_ptr[5] * x_ptr[1];
				temp_i2 += a_ptr[4] * x_ptr[1] + a_ptr[5] * x_ptr[0];
#else
				temp_r0 += a_ptr[0] * x_ptr[0] + a_ptr[1] * x_ptr[1];
				temp_i0 += a_ptr[0] * x_ptr[1] - a_ptr[1] * x_ptr[0];
				temp_r1 += a_ptr[2] * x_ptr[0] + a_ptr[3] * x_ptr[1];
				temp_i1 += a_ptr[2] * x_ptr[1] - a_ptr[3] * x_ptr[0];
				temp_r2 += a_ptr[4] * x_ptr[0] + a_ptr[5] * x_ptr[1];
				temp_i2 += a_ptr[4] * x_ptr[1] - a_ptr[5] * x_ptr[0];
#endif

				a_ptr += lda;
				x_ptr += inc_x;
			}

		}
#if !defined(XCONJ) 
		y_ptr[0] += alpha_r * temp_r0 - alpha_i * temp_i0;
		y_ptr[1] += alpha_r * temp_i0 + alpha_i * temp_r0;
		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;
		y_ptr    += inc_y;
		y_ptr[0] += alpha_r * temp_r2 - alpha_i * temp_i2;
		y_ptr[1] += alpha_r * temp_i2 + alpha_i * temp_r2;
#else
		y_ptr[0] += alpha_r * temp_r0 + alpha_i * temp_i0;
		y_ptr[1] -= alpha_r * temp_i0 - alpha_i * temp_r0;
		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;
		y_ptr    += inc_y;
		y_ptr[0] += alpha_r * temp_r2 + alpha_i * temp_i2;
		y_ptr[1] -= alpha_r * temp_i2 - alpha_i * temp_r2;
#endif
		return(0);
	}





	return(0);
}