# CoinAbcHelperFunctions.hpp

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    00001 /* $Id: CoinAbcHelperFunctions.hpp 1910 2013-01-27 02:00:13Z stefan $ */
    00002 // Copyright (C) 2003, International Business Machines
    00003 // Corporation and others, Copyright (C) 2012, FasterCoin.  All Rights Reserved.
    00004 // This code is licensed under the terms of the Eclipse Public License (EPL).
    00005
    00006 #ifndef CoinAbcHelperFunctions_H
    00007 #define CoinAbcHelperFunctions_H
    00008
    00009 #include "ClpConfig.h"
    00010 #ifdef HAVE_CMATH
    00011 # include <cmath>
    00012 #else
    00013 # ifdef HAVE_MATH_H
    00014 #  include <math.h>
    00015 # else
    00016 # include <cmath>
    00017 # endif
    00018 #endif
    00019 #include "CoinAbcCommon.hpp"
    00020 #ifndef abc_assert
    00021 #define abc_assert(condition)                                                   \
    00022   { if (!condition) {printf("abc_assert in %s at line %d - %s is false\n", \
    00023                             __FILE__, __LINE__, __STRING(condition)); abort();} }
    00024 #endif
    00025 // cilk_for granularity.
    00026 #define CILK_FOR_GRAINSIZE 128
    00027 //#define AVX2 2
    00028 #if AVX2==1
    00029 #include "emmintrin.h"
    00030 #elif AVX2==2
    00031 #include <immintrin.h>
    00032 #elif AVX2==3
    00033 #include "avx2intrin.h"
    00034 #endif
    00035 //#define __AVX__ 1
    00036 //#define __AVX2__ 1
    00043 #define UNROLL_SCATTER 2
    00044 #define INLINE_SCATTER 1
    00045 #if INLINE_SCATTER==0
    00046 void CoinAbcScatterUpdate(int number,CoinFactorizationDouble pivotValue,
    00047                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00048                           const int *  COIN_RESTRICT thisIndex,
    00049                           CoinFactorizationDouble * COIN_RESTRICT region);
    00050 #else
    00051 void ABC_INLINE inline CoinAbcScatterUpdate(int number,CoinFactorizationDouble pivotValue,
    00052                                             const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00053                                             const int *  COIN_RESTRICT thisIndex,
    00054                                             CoinFactorizationDouble * COIN_RESTRICT region)
    00055 {
    00056 #if UNROLL_SCATTER==0
    00057   for (CoinBigIndex j=number-1 ; j >=0; j-- ) {
    00058     CoinSimplexInt iRow = thisIndex[j];
    00059     CoinFactorizationDouble regionValue = region[iRow];
    00060     CoinFactorizationDouble value = thisElement[j];
    00061     assert (value);
    00062     region[iRow] = regionValue - value * pivotValue;
    00063   }
    00064 #elif UNROLL_SCATTER==1
    00065   if ((number&1)!=0) {
    00066     number--;
    00067     CoinSimplexInt iRow = thisIndex[number];
    00068     CoinFactorizationDouble regionValue = region[iRow];
    00069     CoinFactorizationDouble value = thisElement[number];
    00070     region[iRow] = regionValue - value * pivotValue;
    00071   }
    00072   for (CoinBigIndex j=number-1 ; j >=0; j-=2 ) {
    00073     CoinSimplexInt iRow0 = thisIndex[j];
    00074     CoinSimplexInt iRow1 = thisIndex[j-1];
    00075     CoinFactorizationDouble regionValue0 = region[iRow0];
    00076     CoinFactorizationDouble regionValue1 = region[iRow1];
    00077     region[iRow0] = regionValue0 - thisElement[j] * pivotValue;
    00078     region[iRow1] = regionValue1 - thisElement[j-1] * pivotValue;
    00079   }
    00080 #elif UNROLL_SCATTER==2
    00081   if ((number&1)!=0) {
    00082     number--;
    00083     CoinSimplexInt iRow = thisIndex[number];
    00084     CoinFactorizationDouble regionValue = region[iRow];
    00085     CoinFactorizationDouble value = thisElement[number];
    00086     region[iRow] = regionValue - value * pivotValue;
    00087   }
    00088   if ((number&2)!=0) {
    00089     CoinSimplexInt iRow0 = thisIndex[number-1];
    00090     CoinFactorizationDouble regionValue0 = region[iRow0];
    00091     CoinFactorizationDouble value0 = thisElement[number-1];
    00092     CoinSimplexInt iRow1 = thisIndex[number-2];
    00093     CoinFactorizationDouble regionValue1 = region[iRow1];
    00094     CoinFactorizationDouble value1 = thisElement[number-2];
    00095     region[iRow0] = regionValue0 - value0 * pivotValue;
    00096     region[iRow1] = regionValue1 - value1 * pivotValue;
    00097     number-=2;
    00098   }
    00099 #pragma cilk_grainsize=CILK_FOR_GRAINSIZE
    00100   for (CoinBigIndex j=number-1 ; j >=0; j-=4 ) {
    00101     CoinSimplexInt iRow0 = thisIndex[j];
    00102     CoinSimplexInt iRow1 = thisIndex[j-1];
    00103     CoinFactorizationDouble regionValue0 = region[iRow0];
    00104     CoinFactorizationDouble regionValue1 = region[iRow1];
    00105     region[iRow0] = regionValue0 - thisElement[j] * pivotValue;
    00106     region[iRow1] = regionValue1 - thisElement[j-1] * pivotValue;
    00107     CoinSimplexInt iRow2 = thisIndex[j-2];
    00108     CoinSimplexInt iRow3 = thisIndex[j-3];
    00109     CoinFactorizationDouble regionValue2 = region[iRow2];
    00110     CoinFactorizationDouble regionValue3 = region[iRow3];
    00111     region[iRow2] = regionValue2 - thisElement[j-2] * pivotValue;
    00112     region[iRow3] = regionValue3 - thisElement[j-3] * pivotValue;
    00113   }
    00114 #elif UNROLL_SCATTER==3
    00115   CoinSimplexInt iRow0;
    00116   CoinSimplexInt iRow1;
    00117   CoinFactorizationDouble regionValue0;
    00118   CoinFactorizationDouble regionValue1;
    00119   switch(static_cast<unsigned int>(number)) {
    00120   case 0:
    00121     break;
    00122   case 1:
    00123     iRow0 = thisIndex[0];
    00124     regionValue0 = region[iRow0];
    00125     region[iRow0] = regionValue0 - thisElement[0] * pivotValue;
    00126     break;
    00127   case 2:
    00128     iRow0 = thisIndex[0];
    00129     iRow1 = thisIndex[1];
    00130     regionValue0 = region[iRow0];
    00131     regionValue1 = region[iRow1];
    00132     region[iRow0] = regionValue0 - thisElement[0] * pivotValue;
    00133     region[iRow1] = regionValue1 - thisElement[1] * pivotValue;
    00134     break;
    00135   case 3:
    00136     iRow0 = thisIndex[0];
    00137     iRow1 = thisIndex[1];
    00138     regionValue0 = region[iRow0];
    00139     regionValue1 = region[iRow1];
    00140     region[iRow0] = regionValue0 - thisElement[0] * pivotValue;
    00141     region[iRow1] = regionValue1 - thisElement[1] * pivotValue;
    00142     iRow0 = thisIndex[2];
    00143     regionValue0 = region[iRow0];
    00144     region[iRow0] = regionValue0 - thisElement[2] * pivotValue;
    00145     break;
    00146   case 4:
    00147     iRow0 = thisIndex[0];
    00148     iRow1 = thisIndex[1];
    00149     regionValue0 = region[iRow0];
    00150     regionValue1 = region[iRow1];
    00151     region[iRow0] = regionValue0 - thisElement[0] * pivotValue;
    00152     region[iRow1] = regionValue1 - thisElement[1] * pivotValue;
    00153     iRow0 = thisIndex[2];
    00154     iRow1 = thisIndex[3];
    00155     regionValue0 = region[iRow0];
    00156     regionValue1 = region[iRow1];
    00157     region[iRow0] = regionValue0 - thisElement[2] * pivotValue;
    00158     region[iRow1] = regionValue1 - thisElement[3] * pivotValue;
    00159     break;
    00160   case 5:
    00161     iRow0 = thisIndex[0];
    00162     iRow1 = thisIndex[1];
    00163     regionValue0 = region[iRow0];
    00164     regionValue1 = region[iRow1];
    00165     region[iRow0] = regionValue0 - thisElement[0] * pivotValue;
    00166     region[iRow1] = regionValue1 - thisElement[1] * pivotValue;
    00167     iRow0 = thisIndex[2];
    00168     iRow1 = thisIndex[3];
    00169     regionValue0 = region[iRow0];
    00170     regionValue1 = region[iRow1];
    00171     region[iRow0] = regionValue0 - thisElement[2] * pivotValue;
    00172     region[iRow1] = regionValue1 - thisElement[3] * pivotValue;
    00173     iRow0 = thisIndex[4];
    00174     regionValue0 = region[iRow0];
    00175     region[iRow0] = regionValue0 - thisElement[4] * pivotValue;
    00176     break;
    00177   case 6:
    00178     iRow0 = thisIndex[0];
    00179     iRow1 = thisIndex[1];
    00180     regionValue0 = region[iRow0];
    00181     regionValue1 = region[iRow1];
    00182     region[iRow0] = regionValue0 - thisElement[0] * pivotValue;
    00183     region[iRow1] = regionValue1 - thisElement[1] * pivotValue;
    00184     iRow0 = thisIndex[2];
    00185     iRow1 = thisIndex[3];
    00186     regionValue0 = region[iRow0];
    00187     regionValue1 = region[iRow1];
    00188     region[iRow0] = regionValue0 - thisElement[2] * pivotValue;
    00189     region[iRow1] = regionValue1 - thisElement[3] * pivotValue;
    00190     iRow0 = thisIndex[4];
    00191     iRow1 = thisIndex[5];
    00192     regionValue0 = region[iRow0];
    00193     regionValue1 = region[iRow1];
    00194     region[iRow0] = regionValue0 - thisElement[4] * pivotValue;
    00195     region[iRow1] = regionValue1 - thisElement[5] * pivotValue;
    00196     break;
    00197   case 7:
    00198     iRow0 = thisIndex[0];
    00199     iRow1 = thisIndex[1];
    00200     regionValue0 = region[iRow0];
    00201     regionValue1 = region[iRow1];
    00202     region[iRow0] = regionValue0 - thisElement[0] * pivotValue;
    00203     region[iRow1] = regionValue1 - thisElement[1] * pivotValue;
    00204     iRow0 = thisIndex[2];
    00205     iRow1 = thisIndex[3];
    00206     regionValue0 = region[iRow0];
    00207     regionValue1 = region[iRow1];
    00208     region[iRow0] = regionValue0 - thisElement[2] * pivotValue;
    00209     region[iRow1] = regionValue1 - thisElement[3] * pivotValue;
    00210     iRow0 = thisIndex[4];
    00211     iRow1 = thisIndex[5];
    00212     regionValue0 = region[iRow0];
    00213     regionValue1 = region[iRow1];
    00214     region[iRow0] = regionValue0 - thisElement[4] * pivotValue;
    00215     region[iRow1] = regionValue1 - thisElement[5] * pivotValue;
    00216     iRow0 = thisIndex[6];
    00217     regionValue0 = region[iRow0];
    00218     region[iRow0] = regionValue0 - thisElement[6] * pivotValue;
    00219     break;
    00220   case 8:
    00221     iRow0 = thisIndex[0];
    00222     iRow1 = thisIndex[1];
    00223     regionValue0 = region[iRow0];
    00224     regionValue1 = region[iRow1];
    00225     region[iRow0] = regionValue0 - thisElement[0] * pivotValue;
    00226     region[iRow1] = regionValue1 - thisElement[1] * pivotValue;
    00227     iRow0 = thisIndex[2];
    00228     iRow1 = thisIndex[3];
    00229     regionValue0 = region[iRow0];
    00230     regionValue1 = region[iRow1];
    00231     region[iRow0] = regionValue0 - thisElement[2] * pivotValue;
    00232     region[iRow1] = regionValue1 - thisElement[3] * pivotValue;
    00233     iRow0 = thisIndex[4];
    00234     iRow1 = thisIndex[5];
    00235     regionValue0 = region[iRow0];
    00236     regionValue1 = region[iRow1];
    00237     region[iRow0] = regionValue0 - thisElement[4] * pivotValue;
    00238     region[iRow1] = regionValue1 - thisElement[5] * pivotValue;
    00239     iRow0 = thisIndex[6];
    00240     iRow1 = thisIndex[7];
    00241     regionValue0 = region[iRow0];
    00242     regionValue1 = region[iRow1];
    00243     region[iRow0] = regionValue0 - thisElement[6] * pivotValue;
    00244     region[iRow1] = regionValue1 - thisElement[7] * pivotValue;
    00245     break;
    00246   default:
    00247     if ((number&1)!=0) {
    00248       number--;
    00249       CoinSimplexInt iRow = thisIndex[number];
    00250       CoinFactorizationDouble regionValue = region[iRow];
    00251       CoinFactorizationDouble value = thisElement[number];
    00252       region[iRow] = regionValue - value * pivotValue;
    00253     }
    00254     for (CoinBigIndex j=number-1 ; j >=0; j-=2 ) {
    00255       CoinSimplexInt iRow0 = thisIndex[j];
    00256       CoinSimplexInt iRow1 = thisIndex[j-1];
    00257       CoinFactorizationDouble regionValue0 = region[iRow0];
    00258       CoinFactorizationDouble regionValue1 = region[iRow1];
    00259       region[iRow0] = regionValue0 - thisElement[j] * pivotValue;
    00260       region[iRow1] = regionValue1 - thisElement[j-1] * pivotValue;
    00261     }
    00262     break;
    00263   }
    00264 #endif
    00265 }
    00266 void ABC_INLINE inline CoinAbcScatterUpdate(int number,CoinFactorizationDouble pivotValue,
    00267                                             const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00268                                             CoinFactorizationDouble * COIN_RESTRICT region)
    00269 {
    00270 #if UNROLL_SCATTER==0
    00271   const int * COIN_RESTRICT thisIndex = reinterpret_cast<const int *>(thisElement+number);
    00272   for (CoinBigIndex j=number-1 ; j >=0; j-- ) {
    00273     CoinSimplexInt iRow = thisIndex[j];
    00274     CoinFactorizationDouble regionValue = region[iRow];
    00275     CoinFactorizationDouble value = thisElement[j];
    00276     assert (value);
    00277     region[iRow] = regionValue - value * pivotValue;
    00278   }
    00279 #elif UNROLL_SCATTER==1
    00280   const int * COIN_RESTRICT thisIndex = reinterpret_cast<const int *>(thisElement+number);
    00281   if ((number&1)!=0) {
    00282     number--;
    00283     CoinSimplexInt iRow = thisIndex[number];
    00284     CoinFactorizationDouble regionValue = region[iRow];
    00285     CoinFactorizationDouble value = thisElement[number];
    00286     region[iRow] = regionValue - value * pivotValue;
    00287   }
    00288   for (CoinBigIndex j=number-1 ; j >=0; j-=2 ) {
    00289     CoinSimplexInt iRow0 = thisIndex[j];
    00290     CoinSimplexInt iRow1 = thisIndex[j-1];
    00291     CoinFactorizationDouble regionValue0 = region[iRow0];
    00292     CoinFactorizationDouble regionValue1 = region[iRow1];
    00293     region[iRow0] = regionValue0 - thisElement[j] * pivotValue;
    00294     region[iRow1] = regionValue1 - thisElement[j-1] * pivotValue;
    00295   }
    00296 #elif UNROLL_SCATTER==2
    00297   const int * COIN_RESTRICT thisIndex = reinterpret_cast<const int *>(thisElement+number);
    00298   if ((number&1)!=0) {
    00299     number--;
    00300     CoinSimplexInt iRow = thisIndex[number];
    00301     CoinFactorizationDouble regionValue = region[iRow];
    00302     CoinFactorizationDouble value = thisElement[number];
    00303     region[iRow] = regionValue - value * pivotValue;
    00304   }
    00305   if ((number&2)!=0) {
    00306     CoinSimplexInt iRow0 = thisIndex[number-1];
    00307     CoinFactorizationDouble regionValue0 = region[iRow0];
    00308     CoinFactorizationDouble value0 = thisElement[number-1];
    00309     CoinSimplexInt iRow1 = thisIndex[number-2];
    00310     CoinFactorizationDouble regionValue1 = region[iRow1];
    00311     CoinFactorizationDouble value1 = thisElement[number-2];
    00312     region[iRow0] = regionValue0 - value0 * pivotValue;
    00313     region[iRow1] = regionValue1 - value1 * pivotValue;
    00314     number-=2;
    00315   }
    00316 #if AVX2==22
    00317   CoinFactorizationDouble temp[4] __attribute__ ((aligned (32)));
    00318   __m256d pv = _mm256_broadcast_sd(&pivotValue);
    00319   for (CoinBigIndex j=number-1 ; j >=0; j-=4 ) {
    00320     __m256d elements=_mm256_loadu_pd(thisElement+j-3);
    00321     CoinSimplexInt iRow0 = thisIndex[j-3];
    00322     CoinSimplexInt iRow1 = thisIndex[j-2];
    00323     CoinSimplexInt iRow2 = thisIndex[j-1];
    00324     CoinSimplexInt iRow3 = thisIndex[j-0];
    00325     temp[0] = region[iRow0];
    00326     temp[1] = region[iRow1];
    00327     temp[2] = region[iRow2];
    00328     temp[3] = region[iRow3];
    00329     __m256d t0=_mm256_load_pd(temp);
    00330     t0 -= pv*elements;
    00331     _mm256_store_pd (temp, t0);
    00332     region[iRow0] = temp[0];
    00333     region[iRow1] = temp[1];
    00334     region[iRow2] = temp[2];
    00335     region[iRow3] = temp[3];
    00336   }
    00337 #else
    00338 #pragma cilk_grainsize=CILK_FOR_GRAINSIZE
    00339   for (CoinBigIndex j=number-1 ; j >=0; j-=4 ) {
    00340     CoinSimplexInt iRow0 = thisIndex[j];
    00341     CoinSimplexInt iRow1 = thisIndex[j-1];
    00342     CoinFactorizationDouble regionValue0 = region[iRow0];
    00343     CoinFactorizationDouble regionValue1 = region[iRow1];
    00344     region[iRow0] = regionValue0 - thisElement[j] * pivotValue;
    00345     region[iRow1] = regionValue1 - thisElement[j-1] * pivotValue;
    00346     CoinSimplexInt iRow2 = thisIndex[j-2];
    00347     CoinSimplexInt iRow3 = thisIndex[j-3];
    00348     CoinFactorizationDouble regionValue2 = region[iRow2];
    00349     CoinFactorizationDouble regionValue3 = region[iRow3];
    00350     region[iRow2] = regionValue2 - thisElement[j-2] * pivotValue;
    00351     region[iRow3] = regionValue3 - thisElement[j-3] * pivotValue;
    00352   }
    00353 #endif
    00354 #elif UNROLL_SCATTER==3
    00355   const int * COIN_RESTRICT thisIndex = reinterpret_cast<const int *>(thisElement+number);
    00356   CoinSimplexInt iRow0;
    00357   CoinSimplexInt iRow1;
    00358   CoinFactorizationDouble regionValue0;
    00359   CoinFactorizationDouble regionValue1;
    00360   switch(static_cast<unsigned int>(number)) {
    00361   case 0:
    00362     break;
    00363   case 1:
    00364     iRow0 = thisIndex[0];
    00365     regionValue0 = region[iRow0];
    00366     region[iRow0] = regionValue0 - thisElement[0] * pivotValue;
    00367     break;
    00368   case 2:
    00369     iRow0 = thisIndex[0];
    00370     iRow1 = thisIndex[1];
    00371     regionValue0 = region[iRow0];
    00372     regionValue1 = region[iRow1];
    00373     region[iRow0] = regionValue0 - thisElement[0] * pivotValue;
    00374     region[iRow1] = regionValue1 - thisElement[1] * pivotValue;
    00375     break;
    00376   case 3:
    00377     iRow0 = thisIndex[0];
    00378     iRow1 = thisIndex[1];
    00379     regionValue0 = region[iRow0];
    00380     regionValue1 = region[iRow1];
    00381     region[iRow0] = regionValue0 - thisElement[0] * pivotValue;
    00382     region[iRow1] = regionValue1 - thisElement[1] * pivotValue;
    00383     iRow0 = thisIndex[2];
    00384     regionValue0 = region[iRow0];
    00385     region[iRow0] = regionValue0 - thisElement[2] * pivotValue;
    00386     break;
    00387   case 4:
    00388     iRow0 = thisIndex[0];
    00389     iRow1 = thisIndex[1];
    00390     regionValue0 = region[iRow0];
    00391     regionValue1 = region[iRow1];
    00392     region[iRow0] = regionValue0 - thisElement[0] * pivotValue;
    00393     region[iRow1] = regionValue1 - thisElement[1] * pivotValue;
    00394     iRow0 = thisIndex[2];
    00395     iRow1 = thisIndex[3];
    00396     regionValue0 = region[iRow0];
    00397     regionValue1 = region[iRow1];
    00398     region[iRow0] = regionValue0 - thisElement[2] * pivotValue;
    00399     region[iRow1] = regionValue1 - thisElement[3] * pivotValue;
    00400     break;
    00401   case 5:
    00402     iRow0 = thisIndex[0];
    00403     iRow1 = thisIndex[1];
    00404     regionValue0 = region[iRow0];
    00405     regionValue1 = region[iRow1];
    00406     region[iRow0] = regionValue0 - thisElement[0] * pivotValue;
    00407     region[iRow1] = regionValue1 - thisElement[1] * pivotValue;
    00408     iRow0 = thisIndex[2];
    00409     iRow1 = thisIndex[3];
    00410     regionValue0 = region[iRow0];
    00411     regionValue1 = region[iRow1];
    00412     region[iRow0] = regionValue0 - thisElement[2] * pivotValue;
    00413     region[iRow1] = regionValue1 - thisElement[3] * pivotValue;
    00414     iRow0 = thisIndex[4];
    00415     regionValue0 = region[iRow0];
    00416     region[iRow0] = regionValue0 - thisElement[4] * pivotValue;
    00417     break;
    00418   case 6:
    00419     iRow0 = thisIndex[0];
    00420     iRow1 = thisIndex[1];
    00421     regionValue0 = region[iRow0];
    00422     regionValue1 = region[iRow1];
    00423     region[iRow0] = regionValue0 - thisElement[0] * pivotValue;
    00424     region[iRow1] = regionValue1 - thisElement[1] * pivotValue;
    00425     iRow0 = thisIndex[2];
    00426     iRow1 = thisIndex[3];
    00427     regionValue0 = region[iRow0];
    00428     regionValue1 = region[iRow1];
    00429     region[iRow0] = regionValue0 - thisElement[2] * pivotValue;
    00430     region[iRow1] = regionValue1 - thisElement[3] * pivotValue;
    00431     iRow0 = thisIndex[4];
    00432     iRow1 = thisIndex[5];
    00433     regionValue0 = region[iRow0];
    00434     regionValue1 = region[iRow1];
    00435     region[iRow0] = regionValue0 - thisElement[4] * pivotValue;
    00436     region[iRow1] = regionValue1 - thisElement[5] * pivotValue;
    00437     break;
    00438   case 7:
    00439     iRow0 = thisIndex[0];
    00440     iRow1 = thisIndex[1];
    00441     regionValue0 = region[iRow0];
    00442     regionValue1 = region[iRow1];
    00443     region[iRow0] = regionValue0 - thisElement[0] * pivotValue;
    00444     region[iRow1] = regionValue1 - thisElement[1] * pivotValue;
    00445     iRow0 = thisIndex[2];
    00446     iRow1 = thisIndex[3];
    00447     regionValue0 = region[iRow0];
    00448     regionValue1 = region[iRow1];
    00449     region[iRow0] = regionValue0 - thisElement[2] * pivotValue;
    00450     region[iRow1] = regionValue1 - thisElement[3] * pivotValue;
    00451     iRow0 = thisIndex[4];
    00452     iRow1 = thisIndex[5];
    00453     regionValue0 = region[iRow0];
    00454     regionValue1 = region[iRow1];
    00455     region[iRow0] = regionValue0 - thisElement[4] * pivotValue;
    00456     region[iRow1] = regionValue1 - thisElement[5] * pivotValue;
    00457     iRow0 = thisIndex[6];
    00458     regionValue0 = region[iRow0];
    00459     region[iRow0] = regionValue0 - thisElement[6] * pivotValue;
    00460     break;
    00461   case 8:
    00462     iRow0 = thisIndex[0];
    00463     iRow1 = thisIndex[1];
    00464     regionValue0 = region[iRow0];
    00465     regionValue1 = region[iRow1];
    00466     region[iRow0] = regionValue0 - thisElement[0] * pivotValue;
    00467     region[iRow1] = regionValue1 - thisElement[1] * pivotValue;
    00468     iRow0 = thisIndex[2];
    00469     iRow1 = thisIndex[3];
    00470     regionValue0 = region[iRow0];
    00471     regionValue1 = region[iRow1];
    00472     region[iRow0] = regionValue0 - thisElement[2] * pivotValue;
    00473     region[iRow1] = regionValue1 - thisElement[3] * pivotValue;
    00474     iRow0 = thisIndex[4];
    00475     iRow1 = thisIndex[5];
    00476     regionValue0 = region[iRow0];
    00477     regionValue1 = region[iRow1];
    00478     region[iRow0] = regionValue0 - thisElement[4] * pivotValue;
    00479     region[iRow1] = regionValue1 - thisElement[5] * pivotValue;
    00480     iRow0 = thisIndex[6];
    00481     iRow1 = thisIndex[7];
    00482     regionValue0 = region[iRow0];
    00483     regionValue1 = region[iRow1];
    00484     region[iRow0] = regionValue0 - thisElement[6] * pivotValue;
    00485     region[iRow1] = regionValue1 - thisElement[7] * pivotValue;
    00486     break;
    00487   default:
    00488     if ((number&1)!=0) {
    00489       number--;
    00490       CoinSimplexInt iRow = thisIndex[number];
    00491       CoinFactorizationDouble regionValue = region[iRow];
    00492       CoinFactorizationDouble value = thisElement[number];
    00493       region[iRow] = regionValue - value * pivotValue;
    00494     }
    00495     for (CoinBigIndex j=number-1 ; j >=0; j-=2 ) {
    00496       CoinSimplexInt iRow0 = thisIndex[j];
    00497       CoinSimplexInt iRow1 = thisIndex[j-1];
    00498       CoinFactorizationDouble regionValue0 = region[iRow0];
    00499       CoinFactorizationDouble regionValue1 = region[iRow1];
    00500       region[iRow0] = regionValue0 - thisElement[j] * pivotValue;
    00501       region[iRow1] = regionValue1 - thisElement[j-1] * pivotValue;
    00502     }
    00503     break;
    00504   }
    00505 #endif
    00506 }
    00507 #endif
    00508 //#define COIN_PREFETCH
    00509 #ifdef COIN_PREFETCH
    00510 #if 1
    00511 #define coin_prefetch(mem)                                              \
    00512   __asm__ __volatile__ ("prefetchnta %0" : : "m" (*(reinterpret_cast<char *>(mem))))
    00513 #define coin_prefetch_const(mem)                                        \
    00514   __asm__ __volatile__ ("prefetchnta %0" : : "m" (*(reinterpret_cast<const char *>(mem))))
    00515 #else
    00516 #define coin_prefetch(mem)                                              \
    00517   __asm__ __volatile__ ("prefetch %0" : : "m" (*(reinterpret_cast<char *>(mem))))
    00518 #define coin_prefetch_const(mem)                                        \
    00519   __asm__ __volatile__ ("prefetch %0" : : "m" (*(reinterpret_cast<const char *>(mem))))
    00520 #endif
    00521 #else
    00522 // dummy
    00523 #define coin_prefetch(mem)
    00524 #define coin_prefetch_const(mem)
    00525 #endif
    00526 #define NEW_CHUNK_SIZE 4
    00527 #define NEW_CHUNK_SIZE_INCREMENT (NEW_CHUNK_SIZE+NEW_CHUNK_SIZE/2);
    00528 #define NEW_CHUNK_SIZE_OFFSET (NEW_CHUNK_SIZE/2)
    00529 // leaf, pure, nothrow and hot give warnings
    00530 // fastcall and sseregparm give wrong results
    00531 //#define SCATTER_ATTRIBUTE __attribute__ ((leaf,fastcall,pure,sseregparm,nothrow,hot))
    00532 #define SCATTER_ATTRIBUTE
    00533 typedef void (*scatterUpdate) (int,CoinFactorizationDouble,const CoinFactorizationDouble *, double *) SCATTER_ATTRIBUTE ;
    00534 typedef struct {
    00535   scatterUpdate functionPointer;
    00536   CoinBigIndex offset;
    00537   int number;
    00538 } scatterStruct;
    00539 void CoinAbcScatterUpdate0(int numberIn, CoinFactorizationDouble multiplier,
    00540                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00541                           CoinFactorizationDouble * COIN_RESTRICT region)  SCATTER_ATTRIBUTE ;
    00542 void CoinAbcScatterUpdate1(int numberIn, CoinFactorizationDouble multiplier,
    00543                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00544                            CoinFactorizationDouble * COIN_RESTRICT region)  SCATTER_ATTRIBUTE ;
    00545 void CoinAbcScatterUpdate2(int numberIn, CoinFactorizationDouble multiplier,
    00546                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00547                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00548 void CoinAbcScatterUpdate3(int numberIn, CoinFactorizationDouble multiplier,
    00549                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00550                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00551 void CoinAbcScatterUpdate4(int numberIn, CoinFactorizationDouble multiplier,
    00552                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00553                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00554 void CoinAbcScatterUpdate5(int numberIn, CoinFactorizationDouble multiplier,
    00555                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00556                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00557 void CoinAbcScatterUpdate6(int numberIn, CoinFactorizationDouble multiplier,
    00558                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00559                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00560 void CoinAbcScatterUpdate7(int numberIn, CoinFactorizationDouble multiplier,
    00561                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00562                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00563 void CoinAbcScatterUpdate8(int numberIn, CoinFactorizationDouble multiplier,
    00564                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00565                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00566 void CoinAbcScatterUpdate4N(int numberIn, CoinFactorizationDouble multiplier,
    00567                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00568                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00569 void CoinAbcScatterUpdate4NPlus1(int numberIn, CoinFactorizationDouble multiplier,
    00570                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00571                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00572 void CoinAbcScatterUpdate4NPlus2(int numberIn, CoinFactorizationDouble multiplier,
    00573                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00574                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00575 void CoinAbcScatterUpdate4NPlus3(int numberIn, CoinFactorizationDouble multiplier,
    00576                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00577                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00578 void CoinAbcScatterUpdate1Subtract(int numberIn, CoinFactorizationDouble multiplier,
    00579                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00580                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00581 void CoinAbcScatterUpdate2Subtract(int numberIn, CoinFactorizationDouble multiplier,
    00582                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00583                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00584 void CoinAbcScatterUpdate3Subtract(int numberIn, CoinFactorizationDouble multiplier,
    00585                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00586                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00587 void CoinAbcScatterUpdate4Subtract(int numberIn, CoinFactorizationDouble multiplier,
    00588                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00589                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00590 void CoinAbcScatterUpdate5Subtract(int numberIn, CoinFactorizationDouble multiplier,
    00591                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00592                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00593 void CoinAbcScatterUpdate6Subtract(int numberIn, CoinFactorizationDouble multiplier,
    00594                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00595                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00596 void CoinAbcScatterUpdate7Subtract(int numberIn, CoinFactorizationDouble multiplier,
    00597                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00598                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00599 void CoinAbcScatterUpdate8Subtract(int numberIn, CoinFactorizationDouble multiplier,
    00600                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00601                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00602 void CoinAbcScatterUpdate4NSubtract(int numberIn, CoinFactorizationDouble multiplier,
    00603                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00604                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00605 void CoinAbcScatterUpdate4NPlus1Subtract(int numberIn, CoinFactorizationDouble multiplier,
    00606                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00607                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00608 void CoinAbcScatterUpdate4NPlus2Subtract(int numberIn, CoinFactorizationDouble multiplier,
    00609                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00610                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00611 void CoinAbcScatterUpdate4NPlus3Subtract(int numberIn, CoinFactorizationDouble multiplier,
    00612                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00613                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00614 void CoinAbcScatterUpdate1Add(int numberIn, CoinFactorizationDouble multiplier,
    00615                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00616                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00617 void CoinAbcScatterUpdate2Add(int numberIn, CoinFactorizationDouble multiplier,
    00618                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00619                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00620 void CoinAbcScatterUpdate3Add(int numberIn, CoinFactorizationDouble multiplier,
    00621                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00622                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00623 void CoinAbcScatterUpdate4Add(int numberIn, CoinFactorizationDouble multiplier,
    00624                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00625                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00626 void CoinAbcScatterUpdate5Add(int numberIn, CoinFactorizationDouble multiplier,
    00627                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00628                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00629 void CoinAbcScatterUpdate6Add(int numberIn, CoinFactorizationDouble multiplier,
    00630                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00631                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00632 void CoinAbcScatterUpdate7Add(int numberIn, CoinFactorizationDouble multiplier,
    00633                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00634                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00635 void CoinAbcScatterUpdate8Add(int numberIn, CoinFactorizationDouble multiplier,
    00636                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00637                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00638 void CoinAbcScatterUpdate4NAdd(int numberIn, CoinFactorizationDouble multiplier,
    00639                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00640                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00641 void CoinAbcScatterUpdate4NPlus1Add(int numberIn, CoinFactorizationDouble multiplier,
    00642                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00643                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00644 void CoinAbcScatterUpdate4NPlus2Add(int numberIn, CoinFactorizationDouble multiplier,
    00645                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00646                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00647 void CoinAbcScatterUpdate4NPlus3Add(int numberIn, CoinFactorizationDouble multiplier,
    00648                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00649                           CoinFactorizationDouble * COIN_RESTRICT region) SCATTER_ATTRIBUTE ;
    00650 #if INLINE_SCATTER==0
    00651 void CoinAbcScatterUpdate(int number,CoinFactorizationDouble pivotValue,
    00652                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00653                           const int *  COIN_RESTRICT thisIndex,
    00654                           CoinFactorizationDouble * COIN_RESTRICT region,
    00655                           double * COIN_RESTRICT work);
    00656 #else
    00657 #if 0
    00658 void ABC_INLINE inline CoinAbcScatterUpdate(int number,CoinFactorizationDouble pivotValue,
    00659                                             const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00660                                             const int *  COIN_RESTRICT thisIndex,
    00661                                             CoinFactorizationDouble * COIN_RESTRICT region,
    00662                                             double * COIN_RESTRICT /*work*/)
    00663 {
    00664 #if UNROLL_SCATTER==0
    00665   for (CoinBigIndex j=number-1 ; j >=0; j-- ) {
    00666     CoinSimplexInt iRow = thisIndex[j];
    00667     CoinFactorizationDouble regionValue = region[iRow];
    00668     CoinFactorizationDouble value = thisElement[j];
    00669     assert (value);
    00670     region[iRow] = regionValue - value * pivotValue;
    00671   }
    00672 #elif UNROLL_SCATTER==1
    00673   if ((number&1)!=0) {
    00674     CoinSimplexInt iRow = thisIndex[0];
    00675     thisIndex++;
    00676     CoinFactorizationDouble regionValue = region[iRow];
    00677     CoinFactorizationDouble value = thisElement[0];
    00678     thisElement++;
    00679     region[iRow] = regionValue - value * pivotValue;
    00680   }
    00681   number = number>>1;
    00682   CoinFactorizationDouble work2[4];
    00683   for ( ; number !=0; number-- ) {
    00684     CoinSimplexInt iRow0 = thisIndex[0];
    00685     CoinSimplexInt iRow1 = thisIndex[1];
    00686     work2[0] = region[iRow0];
    00687     work2[1] = region[iRow1];
    00688 #if 0
    00689     work2[2] = region[iRow0];
    00690     work2[3] = region[iRow1];
    00691     //__v4df b = __builtin_ia32_maskloadpd256(work2);
    00692     __v4df b = __builtin_ia32_loadupd256(work2);
    00693     //__v4df b = _mm256_load_pd(work2);
    00694 #endif
    00695     work2[0] -= thisElement[0] * pivotValue;
    00696     work2[1] -= thisElement[1] * pivotValue;
    00697     region[iRow0] = work2[0];
    00698     region[iRow1] = work2[1];
    00699     thisIndex+=2;
    00700     thisElement+=2;
    00701   }
    00702 #endif
    00703 }
    00704 #endif
    00705 #endif
    00706 #define UNROLL_GATHER 0
    00707 #define INLINE_GATHER 1
    00708 #if INLINE_GATHER==0
    00709 CoinFactorizationDouble CoinAbcGatherUpdate(CoinSimplexInt number,
    00710                           const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00711                           const int *  COIN_RESTRICT thisIndex,
    00712                            CoinFactorizationDouble * COIN_RESTRICT region);
    00713 #else
    00714 CoinFactorizationDouble ABC_INLINE inline CoinAbcGatherUpdate(CoinSimplexInt number,
    00715                                              const CoinFactorizationDouble *  COIN_RESTRICT thisElement,
    00716                                              const int *  COIN_RESTRICT thisIndex,
    00717                                              CoinFactorizationDouble * COIN_RESTRICT region)
    00718 {
    00719 #if UNROLL_GATHER==0
    00720   CoinFactorizationDouble pivotValue=0.0;
    00721   for (CoinBigIndex j = 0; j < number; j ++ ) {
    00722     CoinFactorizationDouble value = thisElement[j];
    00723     CoinSimplexInt jRow = thisIndex[j];
    00724     value *= region[jRow];
    00725     pivotValue -= value;
    00726   }
    00727   return pivotValue;
    00728 #else
    00729 #error code
    00730 #endif
    00731 }
    00732 #endif
    00733 #define UNROLL_MULTIPLY_INDEXED 0
    00734 #define INLINE_MULTIPLY_INDEXED 0
    00735 #if INLINE_MULTIPLY_INDEXED==0
    00736 void CoinAbcMultiplyIndexed(int number,
    00737                             const double *  COIN_RESTRICT multiplier,
    00738                             const int *  COIN_RESTRICT thisIndex,
    00739                             CoinFactorizationDouble * COIN_RESTRICT region);
    00740 void CoinAbcMultiplyIndexed(int number,
    00741                             const long double *  COIN_RESTRICT multiplier,
    00742                             const int *  COIN_RESTRICT thisIndex,
    00743                             long double * COIN_RESTRICT region);
    00744 #else
    00745 void ABC_INLINE inline CoinAbcMultiplyIndexed(int number,
    00746                             const double *  COIN_RESTRICT multiplier,
    00747                             const int *  COIN_RESTRICT thisIndex,
    00748                             CoinFactorizationDouble * COIN_RESTRICT region)
    00749 {
    00750 }
    00751 #endif
    00752 double CoinAbcMaximumAbsElement(const double * region, int size);
    00753 void CoinAbcMinMaxAbsElement(const double * region, int size,double & minimum , double & maximum);
    00754 void CoinAbcMinMaxAbsNormalValues(const double * region, int size,double & minimum , double & maximum);
    00755 void CoinAbcScale(double * region, double multiplier,int size);
    00756 void CoinAbcScaleNormalValues(double * region, double multiplier,double killIfLessThanThis,int size);
    00758 double CoinAbcMaximumAbsElementAndScale(double * region, double multiplier,int size);
    00759 void CoinAbcSetElements(double * region, int size, double value);
    00760 void CoinAbcMultiplyAdd(const double * region1, int size, double multiplier1,
    00761                  double * regionChanged, double multiplier2);
    00762 double CoinAbcInnerProduct(const double * region1, int size, const double * region2);
    00763 void CoinAbcGetNorms(const double * region, int size, double & norm1, double & norm2);
    00765 void CoinAbcScatterTo(const double * regionFrom, double * regionTo, const int * index,int number);
    00767 void CoinAbcGatherFrom(const double * regionFrom, double * regionTo, const int * index,int number);
    00769 void CoinAbcScatterZeroTo(double * regionTo, const int * index,int number);
    00771 void CoinAbcScatterToList(const double * regionFrom, double * regionTo,
    00772                    const int * indexList, const int * indexScatter ,int number);
    00774 void CoinAbcInverseSqrts(double * array, int n);
    00775 void CoinAbcReciprocal(double * array, int n, const double *input);
    00776 void CoinAbcMemcpyLong(double * array,const double * arrayFrom,int size);
    00777 void CoinAbcMemcpyLong(int * array,const int * arrayFrom,int size);
    00778 void CoinAbcMemcpyLong(unsigned char * array,const unsigned char * arrayFrom,int size);
    00779 void CoinAbcMemset0Long(double * array,int size);
    00780 void CoinAbcMemset0Long(int * array,int size);
    00781 void CoinAbcMemset0Long(unsigned char * array,int size);
    00782 void CoinAbcMemmove(double * array,const double * arrayFrom,int size);
    00783 void CoinAbcMemmove(int * array,const int * arrayFrom,int size);
    00784 void CoinAbcMemmove(unsigned char * array,const unsigned char * arrayFrom,int size);
    00786 void CoinAbcMemmoveAndZero(double * array,double * arrayFrom,int size);
    00788 int CoinAbcCompact(int numberSections,int alreadyDone,double * array,const int * starts, const int * lengths);
    00790 int CoinAbcCompact(int numberSections,int alreadyDone,int * array,const int * starts, const int * lengths);
    00791 #endif
    00792 #if ABC_CREATE_SCATTER_FUNCTION
    00793 SCATTER_ATTRIBUTE void functionName(ScatterUpdate1)(int numberIn, CoinFactorizationDouble multiplier,
    00794                           const CoinFactorizationDouble *  COIN_RESTRICT element,
    00795                           CoinFactorizationDouble * COIN_RESTRICT region)
    00796 {
    00797 #ifndef NDEBUG
    00798   assert (numberIn==1);
    00799 #endif
    00800   const int * COIN_RESTRICT thisColumn = reinterpret_cast<const int *>(element+1);
    00801   int iColumn0=thisColumn[0];
    00802   double value0=region[iColumn0];
    00803   value0 OPERATION multiplier*element[0];
    00804   region[iColumn0]=value0;
    00805 }
    00806 SCATTER_ATTRIBUTE void functionName(ScatterUpdate2)(int numberIn, CoinFactorizationDouble multiplier,
    00807                           const CoinFactorizationDouble *  COIN_RESTRICT element,
    00808                           CoinFactorizationDouble * COIN_RESTRICT region)
    00809 {
    00810 #ifndef NDEBUG
    00811   assert (numberIn==2);
    00812 #endif
    00813   const int * COIN_RESTRICT thisColumn = reinterpret_cast<const int *>(element+2);
    00814 #if NEW_CHUNK_SIZE==2
    00815   int nFull=2&(~(NEW_CHUNK_SIZE-1));
    00816   for (int j=0;j<nFull;j+=NEW_CHUNK_SIZE) {
    00817     coin_prefetch(element+NEW_CHUNK_SIZE_INCREMENT);
    00818     int iColumn0=thisColumn[0];
    00819     int iColumn1=thisColumn[1];
    00820     CoinFactorizationDouble value0=region[iColumn0];
    00821     CoinFactorizationDouble value1=region[iColumn1];
    00822     value0 OPERATION multiplier*element[0+NEW_CHUNK_SIZE_OFFSET];
    00823     value1 OPERATION multiplier*element[1+NEW_CHUNK_SIZE_OFFSET];
    00824     region[iColumn0]=value0;
    00825     region[iColumn1]=value1;
    00826     element+=NEW_CHUNK_SIZE_INCREMENT;
    00827     thisColumn = reinterpret_cast<const int *>(element);
    00828   }
    00829 #endif
    00830 #if NEW_CHUNK_SIZE==4
    00831   int iColumn0=thisColumn[0];
    00832   int iColumn1=thisColumn[1];
    00833   CoinFactorizationDouble value0=region[iColumn0];
    00834   CoinFactorizationDouble value1=region[iColumn1];
    00835   value0 OPERATION multiplier*element[0];
    00836   value1 OPERATION multiplier*element[1];
    00837   region[iColumn0]=value0;
    00838   region[iColumn1]=value1;
    00839 #endif
    00840 }
    00841 SCATTER_ATTRIBUTE void functionName(ScatterUpdate3)(int numberIn, CoinFactorizationDouble multiplier,
    00842                           const CoinFactorizationDouble *  COIN_RESTRICT element,
    00843                           CoinFactorizationDouble * COIN_RESTRICT region)
    00844 {
    00845 #ifndef NDEBUG
    00846   assert (numberIn==3);
    00847 #endif
    00848   const int * COIN_RESTRICT thisColumn = reinterpret_cast<const int *>(element+3);
    00849 #if AVX2==1
    00850   double temp[2];
    00851 #endif
    00852 #if NEW_CHUNK_SIZE==2
    00853   int nFull=3&(~(NEW_CHUNK_SIZE-1));
    00854   for (int j=0;j<nFull;j+=NEW_CHUNK_SIZE) {
    00855     //coin_prefetch_const(element+NEW_CHUNK_SIZE_INCREMENT);
    00856     int iColumn0=thisColumn[0];
    00857     int iColumn1=thisColumn[1];
    00858     CoinFactorizationDouble value0=region[iColumn0];
    00859     CoinFactorizationDouble value1=region[iColumn1];
    00860     value0 OPERATION multiplier*element[0];
    00861     value1 OPERATION multiplier*element[1];
    00862     region[iColumn0]=value0;
    00863     region[iColumn1]=value1;
    00864     element+=NEW_CHUNK_SIZE;
    00865     thisColumn+ = NEW_CHUNK_SIZE;
    00866   }
    00867 #endif
    00868 #if NEW_CHUNK_SIZE==2
    00869   int iColumn0=thisColumn[0];
    00870   double value0=region[iColumn0];
    00871   value0 OPERATION multiplier*element[0];
    00872   region[iColumn0]=value0;
    00873 #else
    00874   int iColumn0=thisColumn[0];
    00875   int iColumn1=thisColumn[1];
    00876   int iColumn2=thisColumn[2];
    00877 #if AVX2==1
    00878   __v2df bb;
    00879   double value2=region[iColumn2];
    00880   value2 OPERATION multiplier*element[2];
    00881   set_const_v2df(bb,multiplier);
    00882   temp[0]=region[iColumn0];
    00883   temp[1]=region[iColumn1];
    00884   region[iColumn2]=value2;
    00885   __v2df v0 = __builtin_ia32_loadupd (temp);
    00886   __v2df a = __builtin_ia32_loadupd (element);
    00887   a *= bb;
    00888   v0 OPERATION a;
    00889   __builtin_ia32_storeupd (temp, v0);
    00890   region[iColumn0]=temp[0];
    00891   region[iColumn1]=temp[1];
    00892 #else
    00893   double value0=region[iColumn0];
    00894   double value1=region[iColumn1];
    00895   double value2=region[iColumn2];
    00896   value0 OPERATION multiplier*element[0];
    00897   value1 OPERATION multiplier*element[1];
    00898   value2 OPERATION multiplier*element[2];
    00899   region[iColumn0]=value0;
    00900   region[iColumn1]=value1;
    00901   region[iColumn2]=value2;
    00902 #endif
    00903 #endif
    00904 }
    00905 SCATTER_ATTRIBUTE void functionName(ScatterUpdate4)(int numberIn, CoinFactorizationDouble multiplier,
    00906                            const CoinFactorizationDouble *  COIN_RESTRICT element,
    00907                            CoinFactorizationDouble * COIN_RESTRICT region)
    00908 {
    00909 #ifndef NDEBUG
    00910   assert (numberIn==4);
    00911 #endif
    00912   const int * COIN_RESTRICT thisColumn = reinterpret_cast<const int *>(element+4);
    00913   int nFull=4&(~(NEW_CHUNK_SIZE-1));
    00914 #if AVX2==1
    00915   double temp[4];
    00916 #endif
    00917   for (int j=0;j<nFull;j+=NEW_CHUNK_SIZE) {
    00918     //coin_prefetch_const(element+NEW_CHUNK_SIZE_INCREMENT);
    00919 #if NEW_CHUNK_SIZE==2
    00920     int iColumn0=thisColumn[0];
    00921     int iColumn1=thisColumn[1];
    00922     double value0=region[iColumn0];
    00923     double value1=region[iColumn1];
    00924     value0 OPERATION multiplier*element[0];
    00925     value1 OPERATION multiplier*element[1];
    00926     region[iColumn0]=value0;
    00927     region[iColumn1]=value1;
    00928 #elif NEW_CHUNK_SIZE==4
    00929     int iColumn0=thisColumn[0];
    00930     int iColumn1=thisColumn[1];
    00931     int iColumn2=thisColumn[2];
    00932     int iColumn3=thisColumn[3];
    00933 #if AVX2==1
    00934     __v2df bb;
    00935     set_const_v2df(bb,multiplier);
    00936     temp[0]=region[iColumn0];
    00937     temp[1]=region[iColumn1];
    00938     temp[2]=region[iColumn2];
    00939     temp[3]=region[iColumn3];
    00940     __v2df v0 = __builtin_ia32_loadupd (temp);
    00941     __v2df v1 = __builtin_ia32_loadupd (temp+2);
    00942     __v2df a = __builtin_ia32_loadupd (element);
    00943     a *= bb;
    00944     v0 OPERATION a;
    00945     a = __builtin_ia32_loadupd (element+2);
    00946     a *= bb;
    00947     v1 OPERATION a;
    00948     __builtin_ia32_storeupd (temp, v0);
    00949     __builtin_ia32_storeupd (temp+2, v1);
    00950     region[iColumn0]=temp[0];
    00951     region[iColumn1]=temp[1];
    00952     region[iColumn2]=temp[2];
    00953     region[iColumn3]=temp[3];
    00954 #else
    00955     double value0=region[iColumn0];
    00956     double value1=region[iColumn1];
    00957     double value2=region[iColumn2];
    00958     double value3=region[iColumn3];
    00959     value0 OPERATION multiplier*element[0];
    00960     value1 OPERATION multiplier*element[1];
    00961     value2 OPERATION multiplier*element[2];
    00962     value3 OPERATION multiplier*element[3];
    00963     region[iColumn0]=value0;
    00964     region[iColumn1]=value1;
    00965     region[iColumn2]=value2;
    00966     region[iColumn3]=value3;
    00967 #endif
    00968 #else
    00969     abort();
    00970 #endif
    00971     element+=NEW_CHUNK_SIZE;
    00972     thisColumn += NEW_CHUNK_SIZE;
    00973   }
    00974 }
    00975 SCATTER_ATTRIBUTE void functionName(ScatterUpdate5)(int numberIn, CoinFactorizationDouble multiplier,
    00976                            const CoinFactorizationDouble *  COIN_RESTRICT element,
    00977                            CoinFactorizationDouble * COIN_RESTRICT region)
    00978 {
    00979 #ifndef NDEBUG
    00980   assert (numberIn==5);
    00981 #endif
    00982   const int * COIN_RESTRICT thisColumn = reinterpret_cast<const int *>(element+5);
    00983   int nFull=5&(~(NEW_CHUNK_SIZE-1));
    00984 #if AVX2==1
    00985   double temp[4];
    00986 #endif
    00987   for (int j=0;j<nFull;j+=NEW_CHUNK_SIZE) {
    00988     //coin_prefetch_const(element+NEW_CHUNK_SIZE_INCREMENT);
    00989 #if NEW_CHUNK_SIZE==2
    00990     int iColumn0=thisColumn[0];
    00991     int iColumn1=thisColumn[1];
    00992     double value0=region[iColumn0];
    00993     double value1=region[iColumn1];
    00994     value0 OPERATION multiplier*element[0];
    00995     value1 OPERATION multiplier*element[1];
    00996     region[iColumn0]=value0;
    00997     region[iColumn1]=value1;
    00998 #elif NEW_CHUNK_SIZE==4
    00999     int iColumn0=thisColumn[0];
    01000     int iColumn1=thisColumn[1];
    01001     int iColumn2=thisColumn[2];
    01002     int iColumn3=thisColumn[3];
    01003 #if AVX2==1
    01004     __v2df bb;
    01005     set_const_v2df(bb,multiplier);
    01006     temp[0]=region[iColumn0];
    01007     temp[1]=region[iColumn1];
    01008     temp[2]=region[iColumn2];
    01009     temp[3]=region[iColumn3];
    01010     __v2df v0 = __builtin_ia32_loadupd (temp);
    01011     __v2df v1 = __builtin_ia32_loadupd (temp+2);
    01012     __v2df a = __builtin_ia32_loadupd (element);
    01013     a *= bb;
    01014     v0 OPERATION a;
    01015     a = __builtin_ia32_loadupd (element+2);
    01016     a *= bb;
    01017     v1 OPERATION a;
    01018     __builtin_ia32_storeupd (temp, v0);
    01019     __builtin_ia32_storeupd (temp+2, v1);
    01020     region[iColumn0]=temp[0];
    01021     region[iColumn1]=temp[1];
    01022     region[iColumn2]=temp[2];
    01023     region[iColumn3]=temp[3];
    01024 #else
    01025     double value0=region[iColumn0];
    01026     double value1=region[iColumn1];
    01027     double value2=region[iColumn2];
    01028     double value3=region[iColumn3];
    01029     value0 OPERATION multiplier*element[0];
    01030     value1 OPERATION multiplier*element[1];
    01031     value2 OPERATION multiplier*element[2];
    01032     value3 OPERATION multiplier*element[3];
    01033     region[iColumn0]=value0;
    01034     region[iColumn1]=value1;
    01035     region[iColumn2]=value2;
    01036     region[iColumn3]=value3;
    01037 #endif
    01038 #else
    01039     abort();
    01040 #endif
    01041     element+=NEW_CHUNK_SIZE;
    01042     thisColumn += NEW_CHUNK_SIZE;
    01043   }
    01044   int iColumn0=thisColumn[0];
    01045   double value0=region[iColumn0];
    01046   value0 OPERATION multiplier*element[0];
    01047   region[iColumn0]=value0;
    01048 }
    01049 SCATTER_ATTRIBUTE void functionName(ScatterUpdate6)(int numberIn, CoinFactorizationDouble multiplier,
    01050                            const CoinFactorizationDouble *  COIN_RESTRICT element,
    01051                            CoinFactorizationDouble * COIN_RESTRICT region)
    01052 {
    01053 #ifndef NDEBUG
    01054   assert (numberIn==6);
    01055 #endif
    01056   const int * COIN_RESTRICT thisColumn = reinterpret_cast<const int *>(element+6);
    01057   int nFull=6&(~(NEW_CHUNK_SIZE-1));
    01058 #if AVX2==1
    01059   double temp[4];
    01060 #endif
    01061   for (int j=0;j<nFull;j+=NEW_CHUNK_SIZE) {
    01062     coin_prefetch_const(element+6);
    01063 #if NEW_CHUNK_SIZE==2
    01064     int iColumn0=thisColumn[0];
    01065     int iColumn1=thisColumn[1];
    01066     double value0=region[iColumn0];
    01067     double value1=region[iColumn1];
    01068     value0 OPERATION multiplier*element[0];
    01069     value1 OPERATION multiplier*element[1];
    01070     region[iColumn0]=value0;
    01071     region[iColumn1]=value1;
    01072 #elif NEW_CHUNK_SIZE==4
    01073     int iColumn0=thisColumn[0];
    01074     int iColumn1=thisColumn[1];
    01075     int iColumn2=thisColumn[2];
    01076     int iColumn3=thisColumn[3];
    01077 #if AVX2==1
    01078     __v2df bb;
    01079     set_const_v2df(bb,multiplier);
    01080     temp[0]=region[iColumn0];
    01081     temp[1]=region[iColumn1];
    01082     temp[2]=region[iColumn2];
    01083     temp[3]=region[iColumn3];
    01084     __v2df v0 = __builtin_ia32_loadupd (temp);
    01085     __v2df v1 = __builtin_ia32_loadupd (temp+2);
    01086     __v2df a = __builtin_ia32_loadupd (element);
    01087     a *= bb;
    01088     v0 OPERATION a;
    01089     a = __builtin_ia32_loadupd (element+2);
    01090     a *= bb;
    01091     v1 OPERATION a;
    01092     __builtin_ia32_storeupd (temp, v0);
    01093     __builtin_ia32_storeupd (temp+2, v1);
    01094     region[iColumn0]=temp[0];
    01095     region[iColumn1]=temp[1];
    01096     region[iColumn2]=temp[2];
    01097     region[iColumn3]=temp[3];
    01098 #else
    01099     double value0=region[iColumn0];
    01100     double value1=region[iColumn1];
    01101     double value2=region[iColumn2];
    01102     double value3=region[iColumn3];
    01103     value0 OPERATION multiplier*element[0];
    01104     value1 OPERATION multiplier*element[1];
    01105     value2 OPERATION multiplier*element[2];
    01106     value3 OPERATION multiplier*element[3];
    01107     region[iColumn0]=value0;
    01108     region[iColumn1]=value1;
    01109     region[iColumn2]=value2;
    01110     region[iColumn3]=value3;
    01111 #endif
    01112 #else
    01113     abort();
    01114 #endif
    01115     element+=NEW_CHUNK_SIZE;
    01116     thisColumn += NEW_CHUNK_SIZE;
    01117   }
    01118 #if NEW_CHUNK_SIZE==4
    01119   int iColumn0=thisColumn[0];
    01120   int iColumn1=thisColumn[1];
    01121   double value0=region[iColumn0];
    01122   double value1=region[iColumn1];
    01123   value0 OPERATION multiplier*element[0];
    01124   value1 OPERATION multiplier*element[1];
    01125   region[iColumn0]=value0;
    01126   region[iColumn1]=value1;
    01127 #endif
    01128 }
    01129 SCATTER_ATTRIBUTE void functionName(ScatterUpdate7)(int numberIn, CoinFactorizationDouble multiplier,
    01130                            const CoinFactorizationDouble *  COIN_RESTRICT element,
    01131                            CoinFactorizationDouble * COIN_RESTRICT region)
    01132 {
    01133 #ifndef NDEBUG
    01134   assert (numberIn==7);
    01135 #endif
    01136   const int * COIN_RESTRICT thisColumn = reinterpret_cast<const int *>(element+7);
    01137   int nFull=7&(~(NEW_CHUNK_SIZE-1));
    01138 #if AVX2==1
    01139   double temp[4];
    01140 #endif
    01141   for (int j=0;j<nFull;j+=NEW_CHUNK_SIZE) {
    01142     coin_prefetch_const(element+6);
    01143 #if NEW_CHUNK_SIZE==2
    01144     int iColumn0=thisColumn[0];
    01145     int iColumn1=thisColumn[1];
    01146     double value0=region[iColumn0];
    01147     double value1=region[iColumn1];
    01148     value0 OPERATION multiplier*element[0];
    01149     value1 OPERATION multiplier*element[1];
    01150     region[iColumn0]=value0;
    01151     region[iColumn1]=value1;
    01152 #elif NEW_CHUNK_SIZE==4
    01153     int iColumn0=thisColumn[0];
    01154     int iColumn1=thisColumn[1];
    01155     int iColumn2=thisColumn[2];
    01156     int iColumn3=thisColumn[3];
    01157 #if AVX2==1
    01158     __v2df bb;
    01159     set_const_v2df(bb,multiplier);
    01160     temp[0]=region[iColumn0];
    01161     temp[1]=region[iColumn1];
    01162     temp[2]=region[iColumn2];
    01163     temp[3]=region[iColumn3];
    01164     __v2df v0 = __builtin_ia32_loadupd (temp);
    01165     __v2df v1 = __builtin_ia32_loadupd (temp+2);
    01166     __v2df a = __builtin_ia32_loadupd (element);
    01167     a *= bb;
    01168     v0 OPERATION a;
    01169     a = __builtin_ia32_loadupd (element+2);
    01170     a *= bb;
    01171     v1 OPERATION a;
    01172     __builtin_ia32_storeupd (temp, v0);
    01173     __builtin_ia32_storeupd (temp+2, v1);
    01174     region[iColumn0]=temp[0];
    01175     region[iColumn1]=temp[1];
    01176     region[iColumn2]=temp[2];
    01177     region[iColumn3]=temp[3];
    01178 #else
    01179     double value0=region[iColumn0];
    01180     double value1=region[iColumn1];
    01181     double value2=region[iColumn2];
    01182     double value3=region[iColumn3];
    01183     value0 OPERATION multiplier*element[0];
    01184     value1 OPERATION multiplier*element[1];
    01185     value2 OPERATION multiplier*element[2];
    01186     value3 OPERATION multiplier*element[3];
    01187     region[iColumn0]=value0;
    01188     region[iColumn1]=value1;
    01189     region[iColumn2]=value2;
    01190     region[iColumn3]=value3;
    01191 #endif
    01192 #else
    01193     abort();
    01194 #endif
    01195     element+=NEW_CHUNK_SIZE;
    01196     thisColumn += NEW_CHUNK_SIZE;
    01197   }
    01198 #if NEW_CHUNK_SIZE==2
    01199   int iColumn0=thisColumn[0];
    01200   double value0=region[iColumn0];
    01201   value0 OPERATION multiplier*element[0];
    01202   region[iColumn0]=value0;
    01203 #else
    01204   int iColumn0=thisColumn[0];
    01205   int iColumn1=thisColumn[1];
    01206   int iColumn2=thisColumn[2];
    01207   double value0=region[iColumn0];
    01208   double value1=region[iColumn1];
    01209   double value2=region[iColumn2];
    01210   value0 OPERATION multiplier*element[0];
    01211   value1 OPERATION multiplier*element[1];
    01212   value2 OPERATION multiplier*element[2];
    01213   region[iColumn0]=value0;
    01214   region[iColumn1]=value1;
    01215   region[iColumn2]=value2;
    01216 #endif
    01217 }
    01218 SCATTER_ATTRIBUTE void functionName(ScatterUpdate8)(int numberIn, CoinFactorizationDouble multiplier,
    01219                            const CoinFactorizationDouble *  COIN_RESTRICT element,
    01220                            CoinFactorizationDouble * COIN_RESTRICT region)
    01221 {
    01222 #ifndef NDEBUG
    01223   assert (numberIn==8);
    01224 #endif
    01225   const int * COIN_RESTRICT thisColumn = reinterpret_cast<const int *>(element+8);
    01226   int nFull=8&(~(NEW_CHUNK_SIZE-1));
    01227 #if AVX2==1
    01228   double temp[4];
    01229 #endif
    01230   for (int j=0;j<nFull;j+=NEW_CHUNK_SIZE) {
    01231     coin_prefetch_const(element+6);
    01232 #if NEW_CHUNK_SIZE==2
    01233     int iColumn0=thisColumn[0];
    01234     int iColumn1=thisColumn[1];
    01235     double value0=region[iColumn0];
    01236     double value1=region[iColumn1];
    01237     value0 OPERATION multiplier*element[0];
    01238     value1 OPERATION multiplier*element[1];
    01239     region[iColumn0]=value0;
    01240     region[iColumn1]=value1;
    01241 #elif NEW_CHUNK_SIZE==4
    01242     int iColumn0=thisColumn[0];
    01243     int iColumn1=thisColumn[1];
    01244     int iColumn2=thisColumn[2];
    01245     int iColumn3=thisColumn[3];
    01246 #if AVX2==1
    01247     __v2df bb;
    01248     set_const_v2df(bb,multiplier);
    01249     temp[0]=region[iColumn0];
    01250     temp[1]=region[iColumn1];
    01251     temp[2]=region[iColumn2];
    01252     temp[3]=region[iColumn3];
    01253     __v2df v0 = __builtin_ia32_loadupd (temp);
    01254     __v2df v1 = __builtin_ia32_loadupd (temp+2);
    01255     __v2df a = __builtin_ia32_loadupd (element);
    01256     a *= bb;
    01257     v0 OPERATION a;
    01258     a = __builtin_ia32_loadupd (element+2);
    01259     a *= bb;
    01260     v1 OPERATION a;
    01261     __builtin_ia32_storeupd (temp, v0);
    01262     __builtin_ia32_storeupd (temp+2, v1);
    01263     region[iColumn0]=temp[0];
    01264     region[iColumn1]=temp[1];
    01265     region[iColumn2]=temp[2];
    01266     region[iColumn3]=temp[3];
    01267 #else
    01268     double value0=region[iColumn0];
    01269     double value1=region[iColumn1];
    01270     double value2=region[iColumn2];
    01271     double value3=region[iColumn3];
    01272     value0 OPERATION multiplier*element[0];
    01273     value1 OPERATION multiplier*element[1];
    01274     value2 OPERATION multiplier*element[2];
    01275     value3 OPERATION multiplier*element[3];
    01276     region[iColumn0]=value0;
    01277     region[iColumn1]=value1;
    01278     region[iColumn2]=value2;
    01279     region[iColumn3]=value3;
    01280 #endif
    01281 #else
    01282     abort();
    01283 #endif
    01284     element+=NEW_CHUNK_SIZE;
    01285     thisColumn += NEW_CHUNK_SIZE;
    01286   }
    01287 }
    01288 SCATTER_ATTRIBUTE void functionName(ScatterUpdate4N)(int numberIn, CoinFactorizationDouble multiplier,
    01289                             const CoinFactorizationDouble *  COIN_RESTRICT element,
    01290                             CoinFactorizationDouble * COIN_RESTRICT region)
    01291 {
    01292   assert ((numberIn&3)==0);
    01293   const int * COIN_RESTRICT thisColumn = reinterpret_cast<const int *>(element+numberIn);
    01294   int nFull=numberIn&(~(NEW_CHUNK_SIZE-1));
    01295 #if AVX2==1
    01296   double temp[4];
    01297 #endif
    01298   for (int j=0;j<nFull;j+=NEW_CHUNK_SIZE) {
    01299     coin_prefetch_const(element+16);
    01300     coin_prefetch_const(thisColumn+32);
    01301 #if NEW_CHUNK_SIZE==2
    01302     int iColumn0=thisColumn[0];
    01303     int iColumn1=thisColumn[1];
    01304     double value0=region[iColumn0];
    01305     double value1=region[iColumn1];
    01306     value0 OPERATION multiplier*element[0];
    01307     value1 OPERATION multiplier*element[1];
    01308     region[iColumn0]=value0;
    01309     region[iColumn1]=value1;
    01310 #elif NEW_CHUNK_SIZE==4
    01311     int iColumn0=thisColumn[0];
    01312     int iColumn1=thisColumn[1];
    01313     int iColumn2=thisColumn[2];
    01314     int iColumn3=thisColumn[3];
    01315 #if AVX2==1
    01316     __v2df bb;
    01317     set_const_v2df(bb,multiplier);
    01318     temp[0]=region[iColumn0];
    01319     temp[1]=region[iColumn1];
    01320     temp[2]=region[iColumn2];
    01321     temp[3]=region[iColumn3];
    01322     __v2df v0 = __builtin_ia32_loadupd (temp);
    01323     __v2df v1 = __builtin_ia32_loadupd (temp+2);
    01324     __v2df a = __builtin_ia32_loadupd (element);
    01325     a *= bb;
    01326     v0 OPERATION a;
    01327     a = __builtin_ia32_loadupd (element+2);
    01328     a *= bb;
    01329     v1 OPERATION a;
    01330     __builtin_ia32_storeupd (temp, v0);
    01331     __builtin_ia32_storeupd (temp+2, v1);
    01332     region[iColumn0]=temp[0];
    01333     region[iColumn1]=temp[1];
    01334     region[iColumn2]=temp[2];
    01335     region[iColumn3]=temp[3];
    01336 #else
    01337     double value0=region[iColumn0];
    01338     double value1=region[iColumn1];
    01339     double value2=region[iColumn2];
    01340     double value3=region[iColumn3];
    01341     value0 OPERATION multiplier*element[0];
    01342     value1 OPERATION multiplier*element[1];
    01343     value2 OPERATION multiplier*element[2];
    01344     value3 OPERATION multiplier*element[3];
    01345     region[iColumn0]=value0;
    01346     region[iColumn1]=value1;
    01347     region[iColumn2]=value2;
    01348     region[iColumn3]=value3;
    01349 #endif
    01350 #else
    01351     abort();
    01352 #endif
    01353     element+=NEW_CHUNK_SIZE;
    01354     thisColumn += NEW_CHUNK_SIZE;
    01355   }
    01356 }
    01357 SCATTER_ATTRIBUTE void functionName(ScatterUpdate4NPlus1)(int numberIn, CoinFactorizationDouble multiplier,
    01358                                  const CoinFactorizationDouble *  COIN_RESTRICT element,
    01359                                  CoinFactorizationDouble * COIN_RESTRICT region)
    01360 {
    01361   assert ((numberIn&3)==1);
    01362   const int * COIN_RESTRICT thisColumn = reinterpret_cast<const int *>(element+numberIn);
    01363   int nFull=numberIn&(~(NEW_CHUNK_SIZE-1));
    01364 #if AVX2==1
    01365   double temp[4];
    01366 #endif
    01367   for (int j=0;j<nFull;j+=NEW_CHUNK_SIZE) {
    01368     coin_prefetch_const(element+16);
    01369     coin_prefetch_const(thisColumn+32);
    01370 #if NEW_CHUNK_SIZE==2
    01371     int iColumn0=thisColumn[0];
    01372     int iColumn1=thisColumn[1];
    01373     double value0=region[iColumn0];
    01374     double value1=region[iColumn1];
    01375     value0 OPERATION multiplier*element[0];
    01376     value1 OPERATION multiplier*element[1];
    01377     region[iColumn0]=value0;
    01378     region[iColumn1]=value1;
    01379 #elif NEW_CHUNK_SIZE==4
    01380     int iColumn0=thisColumn[0];
    01381     int iColumn1=thisColumn[1];
    01382     int iColumn2=thisColumn[2];
    01383     int iColumn3=thisColumn[3];
    01384 #if AVX2==1
    01385     __v2df bb;
    01386     set_const_v2df(bb,multiplier);
    01387     temp[0]=region[iColumn0];
    01388     temp[1]=region[iColumn1];
    01389     temp[2]=region[iColumn2];
    01390     temp[3]=region[iColumn3];
    01391     __v2df v0 = __builtin_ia32_loadupd (temp);
    01392     __v2df v1 = __builtin_ia32_loadupd (temp+2);
    01393     __v2df a = __builtin_ia32_loadupd (element);
    01394     a *= bb;
    01395     v0 OPERATION a;
    01396     a = __builtin_ia32_loadupd (element+2);
    01397     a *= bb;
    01398     v1 OPERATION a;
    01399     __builtin_ia32_storeupd (temp, v0);
    01400     __builtin_ia32_storeupd (temp+2, v1);
    01401     region[iColumn0]=temp[0];
    01402     region[iColumn1]=temp[1];
    01403     region[iColumn2]=temp[2];
    01404     region[iColumn3]=temp[3];
    01405 #else
    01406     double value0=region[iColumn0];
    01407     double value1=region[iColumn1];
    01408     double value2=region[iColumn2];
    01409     double value3=region[iColumn3];
    01410     value0 OPERATION multiplier*element[0];
    01411     value1 OPERATION multiplier*element[1];
    01412     value2 OPERATION multiplier*element[2];
    01413     value3 OPERATION multiplier*element[3];
    01414     region[iColumn0]=value0;
    01415     region[iColumn1]=value1;
    01416     region[iColumn2]=value2;
    01417     region[iColumn3]=value3;
    01418 #endif
    01419 #else
    01420     abort();
    01421 #endif
    01422     element+=NEW_CHUNK_SIZE;
    01423     thisColumn += NEW_CHUNK_SIZE;
    01424   }
    01425   int iColumn0=thisColumn[0];
    01426   double value0=region[iColumn0];
    01427   value0 OPERATION multiplier*element[0];
    01428   region[iColumn0]=value0;
    01429 }
    01430 SCATTER_ATTRIBUTE void functionName(ScatterUpdate4NPlus2)(int numberIn, CoinFactorizationDouble multiplier,
    01431                                  const CoinFactorizationDouble *  COIN_RESTRICT element,
    01432                                  CoinFactorizationDouble * COIN_RESTRICT region)
    01433 {
    01434   assert ((numberIn&3)==2);
    01435   const int * COIN_RESTRICT thisColumn = reinterpret_cast<const int *>(element+numberIn);
    01436   int nFull=numberIn&(~(NEW_CHUNK_SIZE-1));
    01437 #if AVX2==1
    01438   double temp[4];
    01439 #endif
    01440   for (int j=0;j<nFull;j+=NEW_CHUNK_SIZE) {
    01441     coin_prefetch_const(element+16);
    01442     coin_prefetch_const(thisColumn+32);
    01443 #if NEW_CHUNK_SIZE==2
    01444     int iColumn0=thisColumn[0];
    01445     int iColumn1=thisColumn[1];
    01446     double value0=region[iColumn0];
    01447     double value1=region[iColumn1];
    01448     value0 OPERATION multiplier*element[0];
    01449     value1 OPERATION multiplier*element[1];
    01450     region[iColumn0]=value0;
    01451     region[iColumn1]=value1;
    01452 #elif NEW_CHUNK_SIZE==4
    01453     int iColumn0=thisColumn[0];
    01454     int iColumn1=thisColumn[1];
    01455     int iColumn2=thisColumn[2];
    01456     int iColumn3=thisColumn[3];
    01457 #if AVX2==1
    01458     __v2df bb;
    01459     set_const_v2df(bb,multiplier);
    01460     temp[0]=region[iColumn0];
    01461     temp[1]=region[iColumn1];
    01462     temp[2]=region[iColumn2];
    01463     temp[3]=region[iColumn3];
    01464     __v2df v0 = __builtin_ia32_loadupd (temp);
    01465     __v2df v1 = __builtin_ia32_loadupd (temp+2);
    01466     __v2df a = __builtin_ia32_loadupd (element);
    01467     a *= bb;
    01468     v0 OPERATION a;
    01469     a = __builtin_ia32_loadupd (element+2);
    01470     a *= bb;
    01471     v1 OPERATION a;
    01472     __builtin_ia32_storeupd (temp, v0);
    01473     __builtin_ia32_storeupd (temp+2, v1);
    01474     region[iColumn0]=temp[0];
    01475     region[iColumn1]=temp[1];
    01476     region[iColumn2]=temp[2];
    01477     region[iColumn3]=temp[3];
    01478 #else
    01479     double value0=region[iColumn0];
    01480     double value1=region[iColumn1];
    01481     double value2=region[iColumn2];
    01482     double value3=region[iColumn3];
    01483     value0 OPERATION multiplier*element[0];
    01484     value1 OPERATION multiplier*element[1];
    01485     value2 OPERATION multiplier*element[2];
    01486     value3 OPERATION multiplier*element[3];
    01487     region[iColumn0]=value0;
    01488     region[iColumn1]=value1;
    01489     region[iColumn2]=value2;
    01490     region[iColumn3]=value3;
    01491 #endif
    01492 #else
    01493     abort();
    01494 #endif
    01495     element+=NEW_CHUNK_SIZE;
    01496     thisColumn += NEW_CHUNK_SIZE;
    01497   }
    01498 #if NEW_CHUNK_SIZE==4
    01499   int iColumn0=thisColumn[0];
    01500   int iColumn1=thisColumn[1];
    01501   double value0=region[iColumn0];
    01502   double value1=region[iColumn1];
    01503   value0 OPERATION multiplier*element[0];
    01504   value1 OPERATION multiplier*element[1];
    01505   region[iColumn0]=value0;
    01506   region[iColumn1]=value1;
    01507 #endif
    01508 }
    01509 SCATTER_ATTRIBUTE void functionName(ScatterUpdate4NPlus3)(int numberIn, CoinFactorizationDouble multiplier,
    01510                                  const CoinFactorizationDouble *  COIN_RESTRICT element,
    01511                                  CoinFactorizationDouble * COIN_RESTRICT region)
    01512 {
    01513   assert ((numberIn&3)==3);
    01514   const int * COIN_RESTRICT thisColumn = reinterpret_cast<const int *>(element+numberIn);
    01515   int nFull=numberIn&(~(NEW_CHUNK_SIZE-1));
    01516 #if AVX2==1
    01517   double temp[4];
    01518 #endif
    01519   for (int j=0;j<nFull;j+=NEW_CHUNK_SIZE) {
    01520     coin_prefetch_const(element+16);
    01521     coin_prefetch_const(thisColumn+32);
    01522 #if NEW_CHUNK_SIZE==2
    01523     int iColumn0=thisColumn[0];
    01524     int iColumn1=thisColumn[1];
    01525     double value0=region[iColumn0];
    01526     double value1=region[iColumn1];
    01527     value0 OPERATION multiplier*element[0];
    01528     value1 OPERATION multiplier*element[1];
    01529     region[iColumn0]=value0;
    01530     region[iColumn1]=value1;
    01531 #elif NEW_CHUNK_SIZE==4
    01532     int iColumn0=thisColumn[0];
    01533     int iColumn1=thisColumn[1];
    01534     int iColumn2=thisColumn[2];
    01535     int iColumn3=thisColumn[3];
    01536 #if AVX2==1
    01537     __v2df bb;
    01538     set_const_v2df(bb,multiplier);
    01539     temp[0]=region[iColumn0];
    01540     temp[1]=region[iColumn1];
    01541     temp[2]=region[iColumn2];
    01542     temp[3]=region[iColumn3];
    01543     __v2df v0 = __builtin_ia32_loadupd (temp);
    01544     __v2df v1 = __builtin_ia32_loadupd (temp+2);
    01545     __v2df a = __builtin_ia32_loadupd (element);
    01546     a *= bb;
    01547     v0 OPERATION a;
    01548     a = __builtin_ia32_loadupd (element+2);
    01549     a *= bb;
    01550     v1 OPERATION a;
    01551     __builtin_ia32_storeupd (temp, v0);
    01552     __builtin_ia32_storeupd (temp+2, v1);
    01553     region[iColumn0]=temp[0];
    01554     region[iColumn1]=temp[1];
    01555     region[iColumn2]=temp[2];
    01556     region[iColumn3]=temp[3];
    01557 #else
    01558     double value0=region[iColumn0];
    01559     double value1=region[iColumn1];
    01560     double value2=region[iColumn2];
    01561     double value3=region[iColumn3];
    01562     value0 OPERATION multiplier*element[0];
    01563     value1 OPERATION multiplier*element[1];
    01564     value2 OPERATION multiplier*element[2];
    01565     value3 OPERATION multiplier*element[3];
    01566     region[iColumn0]=value0;
    01567     region[iColumn1]=value1;
    01568     region[iColumn2]=value2;
    01569     region[iColumn3]=value3;
    01570 #endif
    01571 #else
    01572     abort();
    01573 #endif
    01574     element+=NEW_CHUNK_SIZE;
    01575     thisColumn += NEW_CHUNK_SIZE;
    01576   }
    01577 #if NEW_CHUNK_SIZE==2
    01578   int iColumn0=thisColumn[0];
    01579   double value0=region[iColumn0];
    01580   value0 OPERATION multiplier*element[0];
    01581   region[iColumn0]=value0;
    01582 #else
    01583   int iColumn0=thisColumn[0];
    01584   int iColumn1=thisColumn[1];
    01585   int iColumn2=thisColumn[2];
    01586   double value0=region[iColumn0];
    01587   double value1=region[iColumn1];
    01588   double value2=region[iColumn2];
    01589   value0 OPERATION multiplier*element[0];
    01590   value1 OPERATION multiplier*element[1];
    01591   value2 OPERATION multiplier*element[2];
    01592   region[iColumn0]=value0;
    01593   region[iColumn1]=value1;
    01594   region[iColumn2]=value2;
    01595 #endif
    01596 }
    01597 #endif

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