source: git/kernel/test.cc @ 06c0b3

#include "config.h"
#include "mod2.h"

#include <omalloc/omalloc.h>
#include <misc/auxiliary.h>
#ifdef HAVE_FACTORY
#include <factory/factory.h> // :(
#endif

#include <misc/intvec.h>
#include <misc/int64vec.h>
#include <misc/mylimits.h>
#include <misc/options.h>

#include <reporter/reporter.h>

#include <findexec/feFopen.h>
#include <findexec/feResource.h>

#include <coeffs/coeffs.h>

#include <coeffs/si_gmp.h>

#include <polys/kbuckets.h>
#include <polys/matpol.h>
#include <polys/mod_raw.h>
#include <polys/prCopy.h>
#include <polys/sbuckets.h>
#include <polys/simpleideals.h>
#include <polys/weight.h>

#include <polys/monomials/maps.h>
#include <polys/monomials/monomials.h>
#include <polys/monomials/p_polys.h>
#include <polys/monomials/ring.h>

#include <polys/nc/nc.h>
#include <polys/nc/ncSACache.h>
#include <polys/nc/ncSAFormula.h>
#include <polys/nc/ncSAMult.h>
#include <polys/nc/sca.h>
#include <polys/nc/summator.h>


#include <polys/templates/p_MemAdd.h>
#include <polys/templates/p_Procs.h>

#include <polys/operations/pShallowCopyDelete.h>

#include <polys/clapsing.h>


#ifdef HAVE_FACTORY
// The following are needed due to FACTORY (e.g. initCanonicalForm)
int initializeGMP(){ return 1; }
int mmInit(void) {return 1; }
#endif

// // TODO: DUE to the use of HALT in npolygon.cc :(((
extern "C" {void m2_end(int i){exit(i);}}

// // TODO: DUE to its use in kutil.cc :(((
char * showOption(){return NULL;}

// // TODO: DUE to its use in feread.cc :(((
char *iiArithGetCmd(int nPos){return NULL; }


#include <coeffs/numbers.h>

#include "structs.h"


// HEADERS:
#include "hutil.h"
//#include "idrec.h" // moved to Singular
#include "stairc.h"
#include "ideals.h"
#include "syz.h"
#include "fast_maps.h"
#include "febase.h"
#include "walkProc.h"
#include "walkMain.h"
#include "walkSupport.h"
#include "khstd.h"
/// #include "sparsmat.h" // TODO: install polys/this!
//+

#include "fglm.h"
#include "kstd1.h"
#include "fglmgauss.h"
#include "fglmvec.h"
#include "kstdfac.h"
#include "kmatrix.h"
#include "GMPrat.h"
#include "multicnt.h"
#include "npolygon.h"
#include "semic.h"
#include "spectrum.h"
#include "splist.h"
#include "multicnt.h"
#include "eigenval.h"
#include "units.h"
#include "ratgring.h"
#include "shiftgb.h"
// #include "mmalloc.h" // move to Singular!?
#include "gfan.h"

#include "kutil.h"

// #include "dbm_sl.h" // TODO: needs si_link// already moved to Singular/!

// #include "CCRing.h" // Too old!
#include "digitech.h"
#include "eigenval.h"
#include "fast_maps.h"
#include "fast_mult.h"
#include "febase.h"

#include "fglmgauss.h"
#include "fglm.h"
#include "fglmvec.h"

////////#include "F5cData.h"
#include "f5c.h"
#include "f5data.h"
#include "f5gb.h"
#include "f5lists.h"
////////#include "F5cLists.h"

#include "gfan.h"


#include "GMPrat.h"

// #include "htmlhelp.h" // For Windows //
#include "hutil.h"
// #include "Ideal.h" // Too old?


#include "ideals.h"

#include "kmatrix.h"
#include "kstd1.h"
#include "kstdfac.h"
#include "khstd.h"

#include "linearAlgebra.h"



// #include "lplist.h" // Too old!
#include "multicnt.h"
#include "npolygon.h"
// #include "Number.h" // Too old?
#include "page.h"
// #include "Poly.h" // Too old?
// #include "PowerSeries.h" // Too old?

#include "preimage.h"

#include "nc.h"

#include "ratgring.h"
#include "ringgb.h"
// #include "run.h" // moved to Singular
#include "semic.h"
#include "shiftgb.h"
// #include "si_gmp.h" // remove it...
#include "spectrum.h"
#include "splist.h"
#include "stairc.h"
#include "structs.h"
#include "syz.h"
// #include "testpoly.h" // Too old?

#include "tgbgauss.h"
#include "tgb.h"

#include "timer.h"

#include "units.h"
#include "walkMain.h"
#include "walkProc.h"
#include "walkSupport.h"


// #include <polys/clapconv.h> // due to factory? :(
// #include "tgb_internal.h" // :(
// #include "F4.h" // uses tgb_internal // :(
// #include "IIntvec.h" // :(




// #include "fglmzero.cc" // looks like <factory/templates/ftmpl_list.h> must be installed!
// TODO: looks like <coeffs/mpr_complex.h> must be installed!



#include "polys.h"

void TestGBEngine()
{

  //  R = MPolynomialRing_polydict(QQ,5,'w,x,y,z,C', order='degrevlex')
  //  J = (w*w - x*z, w*x - y*z, x*x - w*y, x*y - z*z, y*y - w*z)

  const short w = 1;
  const short x = 2;
  const short y = 3;
  const short z = 4;

  const short N = (z - w + 1);

  char **n=(char**)omalloc(N*sizeof(char*));


  n[w-1]=omStrDup("w");
  n[x-1]=omStrDup("x");
  n[y-1]=omStrDup("y");
  n[z-1]=omStrDup("z");


  const int D = 3;
  int *order = (int *) omAlloc0(D* sizeof(int));
  int *block0 = (int *)omAlloc0(D * sizeof(int));
  int *block1 = (int *)omAlloc0(D * sizeof(int));

  order[0]  = ringorder_dp;
  block0[0] = 1;
  block1[0] = N;

  order[1]  = ringorder_C;
  block0[1] = 1;
  block1[1] = N;

  ring R = rDefault(0, N, n, D, order, block0, block1);

//   ring R = rDefault(0, N, n);

  rWrite(R); PrintLn();

#ifdef RDEBUG
  rDebugPrint(R);
#endif

  ideal I = idInit(5, 1);

  int gen = 0;

  {
    // -xz
    poly p = p_ISet(-1,R);

    p_SetExp(p, x, 1, R);
    p_SetExp(p, z, 1, R);
    p_Setm(p, R);

    assume( p_GetExp(p, x, R) == 1 );
    assume( p_GetExp(p, z, R) == 1 );
    assume( p_GetExp(p, w, R) == 0 );
    assume( p_GetExp(p, y, R) == 0 );

    // +w2
    poly lp = p_ISet(1,R);
    p_SetExp(lp, w, 2, R);
    p_Setm(lp, R);

    assume( p_GetExp(lp, w, R) == 2 );
    assume( p_GetExp(lp, x, R) == 0 );
    assume( p_GetExp(lp, y, R) == 0 );
    assume( p_GetExp(lp, z, R) == 0 );

    MATELEM(I, 1, ++gen) = p_Add_q(lp, p, R); // w2 - xz
  }

  {
    // -yz
    poly p = p_ISet(-1,R);

    p_SetExp(p, y, 1, R);
    p_SetExp(p, z, 1, R);
    p_Setm(p, R);

    assume( p_GetExp(p, y, R) == 1 );
    assume( p_GetExp(p, z, R) == 1 );
    assume( p_GetExp(p, w, R) == 0 );
    assume( p_GetExp(p, x, R) == 0 );

    // +wx
    poly lp = p_ISet(1,R);
    p_SetExp(lp, w, 1, R);
    p_SetExp(lp, x, 1, R);
    p_Setm(lp, R);

    assume( p_GetExp(lp, w, R) == 1 );
    assume( p_GetExp(lp, x, R) == 1 );
    assume( p_GetExp(lp, y, R) == 0 );
    assume( p_GetExp(lp, z, R) == 0 );

    MATELEM(I, 1, ++gen) = p_Add_q(lp, p, R); // wx - yz
  }


  {
    // -wy
    poly p = p_ISet(-1,R);

    p_SetExp(p, y, 1, R);
    p_SetExp(p, w, 1, R);
    p_Setm(p, R);

    assume( p_GetExp(p, y, R) == 1 );
    assume( p_GetExp(p, w, R) == 1 );
    assume( p_GetExp(p, z, R) == 0 );
    assume( p_GetExp(p, x, R) == 0 );

    // +x2
    poly lp = p_ISet(1,R);
    p_SetExp(lp, x, 2, R);
    p_Setm(lp, R);

    assume( p_GetExp(lp, w, R) == 0 );
    assume( p_GetExp(lp, x, R) == 2 );
    assume( p_GetExp(lp, y, R) == 0 );
    assume( p_GetExp(lp, z, R) == 0 );

    MATELEM(I, 1, ++gen) = p_Add_q(lp, p, R); // x2 - wy
  }


  {
    // -z2
    poly p = p_ISet(-1,R);

    p_SetExp(p, z, 2, R);
    p_Setm(p, R);

    assume( p_GetExp(p, y, R) == 0 );
    assume( p_GetExp(p, w, R) == 0 );
    assume( p_GetExp(p, z, R) == 2 );
    assume( p_GetExp(p, x, R) == 0 );

    // +xy
    poly lp = p_ISet(1,R);
    p_SetExp(lp, x, 1, R);
    p_SetExp(lp, y, 1, R);
    p_Setm(lp, R);

    assume( p_GetExp(lp, w, R) == 0 );
    assume( p_GetExp(lp, x, R) == 1 );
    assume( p_GetExp(lp, y, R) == 1 );
    assume( p_GetExp(lp, z, R) == 0 );

    MATELEM(I, 1, ++gen) = p_Add_q(lp, p, R); // xy - z2
  }


  {
    // -wz
    poly p = p_ISet(-1,R);

    p_SetExp(p, w, 1, R);
    p_SetExp(p, z, 1, R);
    p_Setm(p, R);

    assume( p_GetExp(p, y, R) == 0 );
    assume( p_GetExp(p, w, R) == 1 );
    assume( p_GetExp(p, z, R) == 1 );
    assume( p_GetExp(p, x, R) == 0 );

    // +y2
    poly lp = p_ISet(1,R);
    p_SetExp(lp, y, 2, R);
    p_Setm(lp, R);

    assume( p_GetExp(lp, w, R) == 0 );
    assume( p_GetExp(lp, x, R) == 0 );
    assume( p_GetExp(lp, y, R) == 2 );
    assume( p_GetExp(lp, z, R) == 0 );

    MATELEM(I, 1, ++gen) = p_Add_q(lp, p, R); // y2 - wz
  }
#ifdef PDEBUG
  PrintS("I: ");
  idShow(I, R, R, 0);
#endif


//  ideal kStd(ideal F, ideal Q, tHomog h, intvec ** mw,intvec *hilb=NULL,
//             int syzComp=0,int newIdeal=0, intvec *vw=NULL);
  // make R the default ring:
  rChangeCurrRing(R);

  {
    ideal G = kStd(I, currQuotient, testHomog, NULL);

#ifdef PDEBUG
    PrintS("GB: ");
    idShow(G, R, R, 0);
#endif

    idDelete( &G, R);
  }

  {
    intvec *weights = NULL;
    ideal SYZ = idSyzygies(I, testHomog, &weights);

#ifdef PDEBUG
    PrintS("SYZ: ");
    idShow(SYZ, R, R, 0);
#endif

    idDelete(&SYZ, R);
    if (weights!=NULL) { PrintS("weights: "); weights->show(); delete weights; }
  }


  {
    PrintS("\n**********************************\n");
    PrintS("lres: \n");
    int dummy;
    syStrategy r = syLaScala3(I,&dummy);

    intvec *b = syBettiOfComputation(r, FALSE);
    PrintS("non-min. betti: \n");    b->show();    PrintLn();
    delete b;

    Print("length: %d\n", sySize(r));

    syPrint(r, "R");

    r =  syMinimize(r); // syzstr->references ++ ==> memory leak :(((

    b = syBettiOfComputation(r, TRUE);
    PrintS("min. betti: \n");    b->show();    PrintLn();
    delete b;

    Print("length: %d\n", sySize(r));

    syPrint(r, "R");

    syKillComputation(r, R);
  }

  {
    PrintS("\n**********************************\n");
    PrintS("sres: \n");
    const int maxl = rVar(R)-1; // +2*(1);

    syStrategy r = sySchreyer(I, rVar(R));

    intvec *b = syBettiOfComputation(r, FALSE);
    PrintS("non-min. betti: \n");    b->show();    PrintLn();
    delete b;

    Print("length: %d\n", sySize(r));

    syPrint(r, "R");

    r =  syMinimize(r); // syzstr->references ++ ==> memory leak :(((

    b = syBettiOfComputation(r, TRUE);
    PrintS("min. betti: \n");    b->show();    PrintLn();
    delete b;

    Print("length: %d\n", sySize(r));

    syPrint(r, "R");

    syKillComputation(r, R);
  }



  {
    PrintS("\n**********************************\n");
    PrintS("nres: \n");
    intvec *weights=NULL;
//    const int maxl = rVar(R)-1 + 2*(1);
    syStrategy r = syResolution(I, rVar(R)-1, weights, FALSE/*iiOp==MRES_CMD*/);

    intvec *b = syBettiOfComputation(r, FALSE);
    PrintS("non-min. betti: \n");    b->show();    PrintLn();
    delete b;

    Print("length: %d\n", sySize(r));

    syPrint(r, "R");

    r =  syMinimize(r); // syzstr->references ++ ==> memory leak :(((

    b = syBettiOfComputation(r, TRUE);
    PrintS("min. betti: \n");    b->show();    PrintLn();
    delete b;

    Print("length: %d\n", sySize(r));

    syPrint(r, "R");

    syKillComputation(r, R);
  }


  {
    PrintS("\n**********************************\n");
    PrintS("mres: \n");
    intvec *weights=NULL;
//    const int maxl = rVar(R)-1 + 2*(1);
    syStrategy r = syResolution(I, rVar(R)+1, weights, TRUE/*iiOp==MRES_CMD*/);

    intvec *b = syBettiOfComputation(r, FALSE);
    PrintS("non-min. betti: \n");    b->show();    PrintLn();
    delete b;

    Print("length: %d\n", sySize(r));

    syPrint(r, "R");

    r =  syMinimize(r); // syzstr->references ++ ==> memory leak :(((

    b = syBettiOfComputation(r, TRUE);
    PrintS("min. betti: \n");    b->show();    PrintLn();
    delete b;

    Print("length: %d\n", sySize(r));

    syPrint(r, "R");

    syKillComputation(r, R);
  }




  idDelete( &I, R);
  rDelete(R); // should cleanup every belonging polynomial, right!?

}



void TestSimpleRingArithmetcs()
{
  // Libpolys tests:

  // construct the ring Z/32003[x,y,z]
  // the variable names
  char **n=(char**)omalloc(3*sizeof(char*));
  n[0]=omStrDup("x");
  n[1]=omStrDup("y");
  n[2]=omStrDup("z2");

  ring R = rDefault(32003,3,n); //  ring R = rDefault(0,3,n);

  rWrite(R); PrintLn();

#ifdef RDEBUG
  rDebugPrint(R);
#endif


  poly p = p_ISet(1,R); p_SetExp(p,1,1, R); p_Setm(p, R);

  assume( p_GetExp(p,1, R) == 1 );

  poly pp = pp_Mult_qq( p, p, R);

  Print("p: "); p_Write0(p, R); Print(", deg(p): %d", p_Totaldegree(p, R)); assume( 1 == p_Totaldegree(p, R) );

  Print("; p*p : "); p_Write0(pp, R); Print("deg(pp): %d\n", p_Totaldegree(pp, R)); assume( 2 == p_Totaldegree(pp, R) );


  p_Delete(&p, R);

  assume( p_GetExp(pp,1, R) == 2 );

  p_Delete(&pp, R);


//  rDelete(R);

  // make R the default ring:
  rChangeCurrRing(R);

  // create the polynomial 1
  poly p1=pISet(1);

  // create tthe polynomial 2*x^3*z^2
  poly p2=p_ISet(2,R);
  pSetExp(p2,1,3);
  pSetExp(p2,3,2);
  pSetm(p2);

  // print p1 + p2
  Print("p1: "); pWrite0(p1);
  Print(" + p2: "); pWrite0(p2);
  Print("  ---- >>>> ");

  // compute p1+p2
  p1=p_Add_q(p1,p2,R); p2=NULL;
  pWrite(p1);

  // clean up:
//  pDelete(&p1);

  rDelete(R); // should cleanup every belonging polynomial, right!?
}


int main( int, char *argv[] )
{
  feInitResources(argv[0]);

  StringSetS("ressources in use (as reported by feStringAppendResources(0):\n");
  feStringAppendResources(0);
  PrintS(StringAppendS("\n"));

  TestGBEngine();
  TestSimpleRingArithmetcs();

  return 0;
}