/*********************************************************************/
/*                                                                   */
/*             Optimized BLAS libraries                              */
/*                     By Kazushige Goto <kgoto@tacc.utexas.edu>     */
/*                                                                   */
/* Copyright (c) The University of Texas, 2009. All rights reserved. */
/* UNIVERSITY EXPRESSLY DISCLAIMS ANY AND ALL WARRANTIES CONCERNING  */
/* THIS SOFTWARE AND DOCUMENTATION, INCLUDING ANY WARRANTIES OF      */
/* MERCHANTABILITY, FITNESS FOR ANY PARTICULAR PURPOSE,              */
/* NON-INFRINGEMENT AND WARRANTIES OF PERFORMANCE, AND ANY WARRANTY  */
/* THAT MIGHT OTHERWISE ARISE FROM COURSE OF DEALING OR USAGE OF     */
/* TRADE. NO WARRANTY IS EITHER EXPRESS OR IMPLIED WITH RESPECT TO   */
/* THE USE OF THE SOFTWARE OR DOCUMENTATION.                         */
/* Under no circumstances shall University be liable for incidental, */
/* special, indirect, direct or consequential damages or loss of     */
/* profits, interruption of business, or related expenses which may  */
/* arise from use of Software or Documentation, including but not    */
/* limited to those resulting from defects in Software and/or        */
/* Documentation, or loss or inaccuracy of data of any kind.         */
/*********************************************************************/

#include <stdio.h>
#include <stdlib.h>
#include "common.h"
#include "symcopy.h"

#ifndef COMPLEX
#ifndef TRANSA
#undef  TRANS
#else
#define TRANS
#endif
#define MYDOT	DOTU_K
#define MYAXPY	AXPYU_K
#else
#if    TRANSA == 1
#undef TRANS
#define MYDOT	DOTU_K
#define MYAXPY	AXPYU_K
#elif  TRANSA == 2
#define TRANS
#define MYDOT	DOTU_K
#define MYAXPY	AXPYU_K
#elif  TRANSA == 3
#undef TRANS
#define MYDOT	DOTC_K
#define MYAXPY	AXPYC_K
#else
#define TRANS
#define MYDOT	DOTC_K
#define MYAXPY	AXPYC_K
#endif
#endif

static int tpmv_kernel(blas_arg_t *args, BLASLONG *range_m, BLASLONG *range_n, FLOAT *dummy1, FLOAT *buffer, BLASLONG pos){

  FLOAT *a, *x, *y;

  BLASLONG incx;
  BLASLONG m_from, m_to;
  BLASLONG i;

#ifdef TRANS
#ifndef COMPLEX
  FLOAT          result;
#else
  FLOAT _Complex result;
#endif
#endif

#if defined(COMPLEX) && !defined(UNIT)
  FLOAT ar, ai, xr, xi;
#endif

  a = (FLOAT *)args -> a;
  x = (FLOAT *)args -> b;
  y = (FLOAT *)args -> c;

  incx = args -> ldb;

  m_from = 0;
  m_to   = args -> m;

  if (range_m) {
    m_from = *(range_m + 0);
    m_to   = *(range_m + 1);
  }

  if (incx != 1) {

#ifndef LOWER
    COPY_K(m_to, x, incx, buffer, 1);
#else
    COPY_K(args -> m - m_from, x + m_from * incx * COMPSIZE, incx, buffer + m_from * COMPSIZE, 1);
#endif
    
    x = buffer;
    buffer += ((COMPSIZE * args -> m + 1023) & ~1023);
  } 

#ifndef TRANS
  if (range_n) y += *range_n * COMPSIZE;

#ifndef LOWER
  SCAL_K(m_to, 0, 0, ZERO, 
#ifdef COMPLEX
	 ZERO,
#endif
	 y, 1, NULL, 0, NULL, 0);  
#else
  SCAL_K(args -> m - m_from, 0, 0, ZERO, 
#ifdef COMPLEX
	 ZERO,
#endif
	 y + m_from * COMPSIZE, 1, NULL, 0, NULL, 0);  
#endif

#else

  SCAL_K(m_to - m_from, 0, 0, ZERO, 
#ifdef COMPLEX
	 ZERO,
#endif
	 y + m_from * COMPSIZE, 1, NULL, 0, NULL, 0);  

#endif

#ifndef LOWER
  a += (m_from + 1) * m_from / 2  * COMPSIZE;
#else
  a += (2 * args -> m - m_from - 1) * m_from / 2  * COMPSIZE;
#endif

  for (i = m_from; i < m_to; i++) {

#ifndef LOWER
      if (i > 0) {
#ifndef TRANS
	MYAXPY(i, 0, 0,
		*(x + i * COMPSIZE + 0), 
#ifdef COMPLEX
		*(x + i * COMPSIZE + 1), 
#endif
		a, 1, y, 1, NULL, 0);
#else
       	result = MYDOT(i,  a, 1, x, 1);

#ifndef COMPLEX
	*(y + i * COMPSIZE + 0) += result;
#else
	*(y + i * COMPSIZE + 0) += CREAL(result);
	*(y + i * COMPSIZE + 1) += CIMAG(result);
#endif

#endif
      }
#endif

#ifndef COMPLEX
#ifdef UNIT
    *(y + i * COMPSIZE) += *(x + i * COMPSIZE);
#else
    *(y + i * COMPSIZE) += *(a + i * COMPSIZE) * *(x + i * COMPSIZE);
#endif
#else
#ifdef UNIT
      *(y + i * COMPSIZE + 0) += *(x + i * COMPSIZE + 0);
      *(y + i * COMPSIZE + 1) += *(x + i * COMPSIZE + 1);
#else
      ar = *(a + i * COMPSIZE + 0);
      ai = *(a + i * COMPSIZE + 1);
      xr = *(x + i * COMPSIZE + 0);
      xi = *(x + i * COMPSIZE + 1);

#if (TRANSA == 1) || (TRANSA == 2)
      *(y + i * COMPSIZE + 0) += ar * xr - ai * xi;
      *(y + i * COMPSIZE + 1) += ar * xi + ai * xr;
#else
      *(y + i * COMPSIZE + 0) += ar * xr + ai * xi;
      *(y + i * COMPSIZE + 1) += ar * xi - ai * xr;
#endif
#endif
#endif

#ifdef LOWER
      if (args -> m > i + 1) {
#ifndef TRANS
	MYAXPY(args -> m - i - 1, 0, 0, 
		*(x + i * COMPSIZE + 0),
#ifdef COMPLEX
		*(x + i * COMPSIZE + 1),
#endif
		a + (i + 1 ) * COMPSIZE, 1, y + (i + 1) * COMPSIZE, 1, NULL, 0);
#else

	result = MYDOT(args -> m - i - 1, a + (i + 1) * COMPSIZE, 1, x + (i + 1) * COMPSIZE, 1);

#ifndef COMPLEX
	*(y + i * COMPSIZE + 0) += result;
#else
	*(y + i * COMPSIZE + 0) += CREAL(result);
	*(y + i * COMPSIZE + 1) += CIMAG(result);
#endif

#endif
      }
#endif

#ifndef LOWER
    a += (i + 1) * COMPSIZE;
#else
    a += (args -> m - i - 1) * COMPSIZE;
#endif

  }

  return 0;
}

#ifndef COMPLEX
int CNAME(BLASLONG m, FLOAT *a, FLOAT *x, BLASLONG incx, FLOAT *buffer, int nthreads){
#else
int CNAME(BLASLONG m, FLOAT *a, FLOAT *x, BLASLONG incx, FLOAT *buffer, int nthreads){
#endif

  blas_arg_t args;
  blas_queue_t queue[MAX_CPU_NUMBER];
  BLASLONG range_m[MAX_CPU_NUMBER + 1];
  BLASLONG range_n[MAX_CPU_NUMBER];

  BLASLONG width, i, num_cpu;

  double dnum;
  int mask = 7;

#ifdef SMP
#ifndef COMPLEX
#ifdef XDOUBLE
  int mode  =  BLAS_XDOUBLE | BLAS_REAL;
#elif defined(DOUBLE)
  int mode  =  BLAS_DOUBLE  | BLAS_REAL;
#else
  int mode  =  BLAS_SINGLE  | BLAS_REAL;
#endif  
#else
#ifdef XDOUBLE
  int mode  =  BLAS_XDOUBLE | BLAS_COMPLEX;
#elif defined(DOUBLE)
  int mode  =  BLAS_DOUBLE  | BLAS_COMPLEX;
#else
  int mode  =  BLAS_SINGLE  | BLAS_COMPLEX;
#endif  
#endif
#endif

  args.m = m;
  
  args.a = (void *)a;
  args.b = (void *)x;
  args.c = (void *)(buffer);
    
  args.ldb = incx;
  args.ldc = incx;
  
  dnum = (double)m * (double)m / (double)nthreads;
  num_cpu  = 0;
  
#ifndef LOWER

  range_m[MAX_CPU_NUMBER] = m;
  i          = 0;
    
  while (i < m){
    
    if (nthreads - num_cpu > 1) {
      
      double di = (double)(m - i);
      if (di * di - dnum > 0) {
	width = ((BLASLONG)(-sqrt(di * di - dnum) + di) + mask) & ~mask;
      } else {
	width = m - i;
      }

      if (width < 16) width = 16;
      if (width > m - i) width = m - i;
	
    } else {
      width = m - i;
    }
    
    range_m[MAX_CPU_NUMBER - num_cpu - 1] = range_m[MAX_CPU_NUMBER - num_cpu] - width;
    range_n[num_cpu] = num_cpu * (((m + 15) & ~15) + 16);
      
    queue[num_cpu].mode    = mode;
    queue[num_cpu].routine = tpmv_kernel;
    queue[num_cpu].args    = &args;
    queue[num_cpu].range_m = &range_m[MAX_CPU_NUMBER - num_cpu - 1];
    queue[num_cpu].range_n = &range_n[num_cpu];
    queue[num_cpu].sa      = NULL;
    queue[num_cpu].sb      = NULL;
    queue[num_cpu].next    = &queue[num_cpu + 1];
    
    num_cpu ++;
    i += width;
  }
  
#else

  range_m[0] = 0;
  i          = 0;
    
  while (i < m){
    
    if (nthreads - num_cpu > 1) {
      
      double di = (double)(m - i);
      if (di * di - dnum > 0) {
	width = ((BLASLONG)(-sqrt(di * di - dnum) + di) + mask) & ~mask;
      } else {
	width = m - i;
      }

      if (width < 16) width = 16;
      if (width > m - i) width = m - i;
	
    } else {
      width = m - i;
    }
    
    range_m[num_cpu + 1] = range_m[num_cpu] + width;
    range_n[num_cpu] = num_cpu * (((m + 15) & ~15) + 16);
      
    queue[num_cpu].mode    = mode;
    queue[num_cpu].routine = tpmv_kernel;
    queue[num_cpu].args    = &args;
    queue[num_cpu].range_m = &range_m[num_cpu];
    queue[num_cpu].range_n = &range_n[num_cpu];
    queue[num_cpu].sa      = NULL;
    queue[num_cpu].sb      = NULL;
    queue[num_cpu].next    = &queue[num_cpu + 1];
    
    num_cpu ++;
    i += width;
  }
  
#endif

  if (num_cpu) {
    queue[0].sa = NULL;
    queue[0].sb = buffer + num_cpu * (((m + 255) & ~255) + 16) * COMPSIZE;
    
    queue[num_cpu - 1].next = NULL;
    
    exec_blas(num_cpu, queue);
  }
   
#ifndef TRANS
  for (i = 1; i < num_cpu; i ++) {
    
#ifndef LOWER
    
    AXPYU_K(range_m[MAX_CPU_NUMBER - i], 0, 0, ONE,
#ifdef COMPLEX
	    ZERO, 
#endif
	    buffer + range_n[i] * COMPSIZE, 1, buffer, 1, NULL, 0);
    
#else
    
    AXPYU_K(m - range_m[i], 0, 0, ONE,
#ifdef COMPLEX
	    ZERO, 
#endif
	    buffer + (range_n[i] + range_m[i]) * COMPSIZE, 1, buffer + range_m[i] * COMPSIZE, 1, NULL, 0);
    
#endif

  }
#endif
  
  COPY_K(m, buffer, 1, x, incx);

  return 0;
}
