#include "kernel/mod2.h" #include "omalloc/omalloc.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 "resources/feFopen.h" #include "resources/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" #include "coeffs/numbers.h" #include "structs.h" // HEADERS: #include "kernel/combinatorics/hutil.h" #include "kernel/combinatorics/stairc.h" #include "kernel/ideals.h" #include "kernel/GBEngine/syz.h" #include "kernel/maps/fast_maps.h" #include "kernel/groebner_walk/walkProc.h" #include "kernel/groebner_walk/walkMain.h" #include "kernel/groebner_walk/walkSupport.h" #include "kernel/GBEngine/khstd.h" /// #include "kernel/sparsmat.h" // TODO: install polys/this! //+ #include "kernel/fglm/fglm.h" #include "kernel/GBEngine/kstd1.h" #include "kernel/fglm/fglmgauss.h" #include "kernel/fglm/fglmvec.h" #include "kernel/GBEngine/kstdfac.h" #include "kernel/spectrum/kmatrix.h" #include "kernel/spectrum/GMPrat.h" #include "kernel/spectrum/multicnt.h" #include "kernel/spectrum/npolygon.h" #include "kernel/spectrum/semic.h" #include "kernel/spectrum/spectrum.h" #include "kernel/spectrum/splist.h" #include "kernel/spectrum/multicnt.h" #include "kernel/linear_algebra/eigenval.h" #include "kernel/GBEngine/units.h" #include "kernel/GBEngine/ratgring.h" #include "kernel/GBEngine/shiftgb.h" #include "kernel/GBEngine/kutil.h" // #include "CCRing.h" // Too old! #include "kernel/digitech.h" #include "kernel/linear_algebra/eigenval.h" #include "kernel/maps/fast_maps.h" #include "kernel/fast_mult.h" #include "kernel/fglm/fglmgauss.h" #include "kernel/fglm/fglm.h" #include "kernel/fglm/fglmvec.h" ////////#include "kernel/F5cData.h" #include "kernel/GBEngine/f5data.h" #include "kernel/GBEngine/f5gb.h" #include "kernel/GBEngine/f5lists.h" ////////#include "kernel/F5cLists.h" #include "kernel/ideals.h" #include "kernel/spectrum/kmatrix.h" #include "kernel/GBEngine/kstd1.h" #include "kernel/GBEngine/kstdfac.h" #include "kernel/GBEngine/khstd.h" #include "kernel/linear_algebra/linearAlgebra.h" #include "kernel/spectrum/multicnt.h" #include "kernel/spectrum/npolygon.h" #include "kernel/preimage.h" #include "kernel/GBEngine/nc.h" #include "kernel/GBEngine/ratgring.h" #include "kernel/GBEngine/ringgb.h" #include "kernel/spectrum/semic.h" #include "kernel/GBEngine/shiftgb.h" #include "kernel/spectrum/spectrum.h" #include "kernel/spectrum/splist.h" #include "kernel/structs.h" #include "kernel/GBEngine/syz.h" // #include "kernel/testpoly.h" // Too old? #include "kernel/GBEngine/tgbgauss.h" #include "kernel/GBEngine/tgb.h" #include "kernel/GBEngine/units.h" #include "kernel/groebner_walk/walkMain.h" #include "kernel/groebner_walk/walkProc.h" #include "kernel/groebner_walk/walkSupport.h" #include "kernel/GBEngine/janet.h" #include "kernel/linear_algebra/interpolation.h" #include "kernel/linear_algebra/minpoly.h" #include "kernel/linear_algebra/Minor.h" #include "kernel/linear_algebra/MinorInterface.h" #include "kernel/linear_algebra/MinorProcessor.h" #include "kernel/linear_algebra/Cache.h" #include "kernel/linear_algebra/CacheImplementation.h" // #include "polys/clapconv.h" // due to factory? :( // #include "kernel/tgb_internal.h" // :( // #include "kernel/fglm/fglmzero.cc" // looks like must be installed! // TODO: looks like "coeffs/mpr_complex.h" must be installed! #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); { ideal G = kStd(I, currRing->qideal, testHomog, NULL); #ifdef PDEBUG PrintS("GB: "); idShow(G, R, R, 0); #endif id_Delete( &G, R); } { intvec *weights = NULL; ideal SYZ = idSyzygies(I, testHomog, &weights); #ifdef PDEBUG PrintS("SYZ: "); idShow(SYZ, R, R, 0); #endif id_Delete(&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); } 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; }