source: git/kernel/linear_algebra/test.cc @ 6cf934

#include "kernel/mod2.h"

#include "resources/feFopen.h"
#include "resources/feResource.h"


#include "factory/factory.h" // :(

#include "misc/intvec.h"
#include "misc/int64vec.h"
#include "misc/mylimits.h"
#include "misc/options.h"

#include "reporter/reporter.h"

#include "coeffs/si_gmp.h"
#include "coeffs/coeffs.h"
#include "coeffs/numbers.h"

#ifndef PLURAL_INTERNAL_DECLARATIONS
#define PLURAL_INTERNAL_DECLARATIONS
#endif

#include "polys/nc/gb_hack.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/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/templates/p_MemAdd.h"
#include "polys/templates/p_Procs.h"

#include "polys/operations/pShallowCopyDelete.h"

#include "polys/clapsing.h"


// #include "structs.h"


// HEADERS:
#include "kernel/ideals.h"
#include "kernel/digitech.h"
#include "kernel/fast_mult.h"

// #include "kernel/spectrum/kmatrix.h"
#include "kernel/preimage.h"

#include "kernel/structs.h"

#include "kernel/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;
  rRingOrder_t *order = (rRingOrder_t *) omAlloc0(D* sizeof(rRingOrder_t));
  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);

 ////

  id_Delete( &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);

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

  PrintS("; p*p : "); p_Write0(pp, R); Print("deg(pp): %ld\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 the 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
  PrintS("p1: "); pWrite0(p1);
  PrintS(" + p2: "); pWrite0(p2);
  PrintS("  ---- >>>> ");

  // 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[] )
{
  assume( sizeof(long) == SIZEOF_LONG );

  if( sizeof(long) != SIZEOF_LONG )
  {
    WerrorS("Bad config.h: wrong size of long!");

    return(1);
  }


  feInitResources(argv[0]);

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

  PrintLn();
  { char* s = StringEndS(); PrintS(s); omFree(s); }

  TestGBEngine();
  TestSimpleRingArithmetcs();

  return 0;
}