| 1 | #ifndef POLYS_H |
|---|
| 2 | #define POLYS_H |
|---|
| 3 | /**************************************** |
|---|
| 4 | * Computer Algebra System SINGULAR * |
|---|
| 5 | ****************************************/ |
|---|
| 6 | /* $Id$ */ |
|---|
| 7 | /* |
|---|
| 8 | * ABSTRACT - all basic methods to manipulate polynomials of the |
|---|
| 9 | currRing |
|---|
| 10 | */ |
|---|
| 11 | |
|---|
| 12 | #include <kernel/p_polys.h> |
|---|
| 13 | |
|---|
| 14 | /*************************************************************** |
|---|
| 15 | * |
|---|
| 16 | * Primitives for accessing and setting fields of a poly |
|---|
| 17 | * poly must be != NULL |
|---|
| 18 | * |
|---|
| 19 | ***************************************************************/ |
|---|
| 20 | // deletes old coeff before setting the new one |
|---|
| 21 | #define pSetCoeff(p,n) p_SetCoeff(p,n,currRing) |
|---|
| 22 | |
|---|
| 23 | // Order |
|---|
| 24 | #define pGetOrder(p) p_GetOrder(p, currRing) |
|---|
| 25 | |
|---|
| 26 | // Component |
|---|
| 27 | #define pGetComp(p) _p_GetComp(p, currRing) |
|---|
| 28 | #define pSetComp(p,v) p_SetComp(p,v, currRing) |
|---|
| 29 | |
|---|
| 30 | // Exponent |
|---|
| 31 | #define pGetExp(p,i) p_GetExp(p, i, currRing) |
|---|
| 32 | #define pSetExp(p,i,v) p_SetExp(p, i, v, currRing) |
|---|
| 33 | #define pIncrExp(p,i) p_IncrExp(p,i, currRing) |
|---|
| 34 | #define pDecrExp(p,i) p_DecrExp(p,i, currRing) |
|---|
| 35 | #define pAddExp(p,i,v) p_AddExp(p,i,v, currRing) |
|---|
| 36 | #define pSubExp(p,i,v) p_SubExp(p,i,v, currRing) |
|---|
| 37 | #define pMultExp(p,i,v) p_MultExp(p,i,v, currRing) |
|---|
| 38 | #define pGetExpSum(p1, p2, i) p_GetExpSum(p1, p2, i, currRing) |
|---|
| 39 | #define pGetExpDiff(p1, p2, i) p_GetExpDiff(p1, p2, i, currRing) |
|---|
| 40 | |
|---|
| 41 | /*************************************************************** |
|---|
| 42 | * |
|---|
| 43 | * Allocation/Initalization/Deletion |
|---|
| 44 | * except for pHead, all polys must be != NULL |
|---|
| 45 | * |
|---|
| 46 | ***************************************************************/ |
|---|
| 47 | // allocates the space for a new monomial -- no initialization !!! |
|---|
| 48 | #define pNew() p_New(currRing) |
|---|
| 49 | // allocates a new monomial and initializes everything to 0 |
|---|
| 50 | #define pInit() p_Init(currRing) |
|---|
| 51 | // like pInit, except that expvector is initialized to that of p, |
|---|
| 52 | // p must be != NULL |
|---|
| 53 | #define pLmInit(p) p_LmInit(p, currRing) |
|---|
| 54 | // returns newly allocated copy of Lm(p), coef is copied, next=NULL, |
|---|
| 55 | // p might be NULL |
|---|
| 56 | #define pHead(p) p_Head(p, currRing) |
|---|
| 57 | // frees the space of the monomial m, assumes m != NULL |
|---|
| 58 | // coef is not freed, m is not advanced |
|---|
| 59 | static inline void pLmFree(poly p) {p_LmFree(p, currRing);} |
|---|
| 60 | // like pLmFree, but advances p |
|---|
| 61 | static inline void pLmFree(poly *p) {p_LmFree(p, currRing);} |
|---|
| 62 | // assumes p != NULL, deletes p, returns pNext(p) |
|---|
| 63 | #define pLmFreeAndNext(p) p_LmFreeAndNext(p, currRing) |
|---|
| 64 | // assume p != NULL, deletes Lm(p)->coef and Lm(p) |
|---|
| 65 | #define pLmDelete(p) p_LmDelete(p, currRing) |
|---|
| 66 | // like pLmDelete, returns pNext(p) |
|---|
| 67 | #define pLmDeleteAndNext(p) p_LmDeleteAndNext(p, currRing) |
|---|
| 68 | // used by iparith.cc (pHead as proc) |
|---|
| 69 | extern poly pHeadProc(poly p); |
|---|
| 70 | |
|---|
| 71 | /*************************************************************** |
|---|
| 72 | * |
|---|
| 73 | * Operation on ExpVectors: assumes polys != NULL |
|---|
| 74 | * |
|---|
| 75 | ***************************************************************/ |
|---|
| 76 | |
|---|
| 77 | #define pExpVectorCopy(d_p, s_p) p_ExpVectorCopy(d_p, s_p, currRing) |
|---|
| 78 | #define pExpVectorAdd(p1, p2) p_ExpVectorAdd(p1, p2, currRing) |
|---|
| 79 | #define pExpVectorSub(p1, p2) p_ExpVectorSub(p1, p2, currRing) |
|---|
| 80 | #define pExpVectorAddSub(p1, p2, p3)p_ExpVectorAddSub(p1, p2, p3, currRing) |
|---|
| 81 | #define pExpVectorSum(pr, p1, p2) p_ExpVectorSum(pr, p1, p2, currRing) |
|---|
| 82 | #define pExpVectorDiff(pr, p1, p2) p_ExpVectorDiff(pr, p1, p2, currRing) |
|---|
| 83 | #define pExpVectorEqual(p1, p2) p_ExpVectorEqual(p1, p2, currRing) |
|---|
| 84 | |
|---|
| 85 | // Gets a copy of (resp. set) the exponent vector, where e is assumed |
|---|
| 86 | // to point to (r->N +1)*sizeof(long) memory. Exponents are |
|---|
| 87 | // filled in as follows: comp, e_1, .., e_n |
|---|
| 88 | #define pGetExpV(p, e) p_GetExpV(p, e, currRing) |
|---|
| 89 | #define pSetExpV(p, e) p_SetExpV(p, e, currRing) |
|---|
| 90 | |
|---|
| 91 | /*************************************************************** |
|---|
| 92 | * |
|---|
| 93 | * Comparisons: they are all done without regarding coeffs |
|---|
| 94 | * |
|---|
| 95 | ***************************************************************/ |
|---|
| 96 | // returns 0|1|-1 if p=q|p>q|p<q w.r.t monomial ordering |
|---|
| 97 | #define pLmCmp(p,q) p_LmCmp(p,q,currRing) |
|---|
| 98 | // executes axtionE|actionG|actionS if p=q|p>q|p<q w.r.t monomial ordering |
|---|
| 99 | // action should be a "goto ..." |
|---|
| 100 | #define pLmCmpAction(p,q, actionE, actionG, actionS) \ |
|---|
| 101 | _p_LmCmpAction(p,q,currRing, actionE, actionG,actionS) |
|---|
| 102 | |
|---|
| 103 | #define pLmEqual(p1, p2) pExpVectorEqual(p1, p2) |
|---|
| 104 | |
|---|
| 105 | // pCmp: args may be NULL |
|---|
| 106 | // returns: (p2==NULL ? 1 : (p1 == NULL ? -1 : p_LmCmp(p1, p2))) |
|---|
| 107 | #define pCmp(p1, p2) p_Cmp(p1, p2, currRing) |
|---|
| 108 | |
|---|
| 109 | |
|---|
| 110 | /*************************************************************** |
|---|
| 111 | * |
|---|
| 112 | * Divisiblity tests, args must be != NULL, except for |
|---|
| 113 | * pDivisbleBy |
|---|
| 114 | * |
|---|
| 115 | ***************************************************************/ |
|---|
| 116 | // returns TRUE, if leading monom of a divides leading monom of b |
|---|
| 117 | // i.e., if there exists a expvector c > 0, s.t. b = a + c; |
|---|
| 118 | #define pDivisibleBy(a, b) p_DivisibleBy(a,b,currRing) |
|---|
| 119 | // like pDivisibleBy, except that it is assumed that a!=NULL, b!=NULL |
|---|
| 120 | #define pLmDivisibleBy(a,b) p_LmDivisibleBy(a,b,currRing) |
|---|
| 121 | // like pLmDivisibleBy, does not check components |
|---|
| 122 | #define pLmDivisibleByNoComp(a, b) p_LmDivisibleByNoComp(a,b,currRing) |
|---|
| 123 | // Divisibility tests based on Short Exponent vectors |
|---|
| 124 | // sev_a == pGetShortExpVector(a) |
|---|
| 125 | // not_sev_b == ~ pGetShortExpVector(b) |
|---|
| 126 | #define pLmShortDivisibleBy(a, sev_a, b, not_sev_b) \ |
|---|
| 127 | p_LmShortDivisibleBy(a, sev_a, b, not_sev_b, currRing) |
|---|
| 128 | #define pLmRingShortDivisibleBy(a, sev_a, b, not_sev_b) \ |
|---|
| 129 | p_LmRingShortDivisibleBy(a, sev_a, b, not_sev_b, currRing) |
|---|
| 130 | // returns the "Short Exponent Vector" -- used to speed up divisibility |
|---|
| 131 | // tests (see polys-impl.cc ) |
|---|
| 132 | #define pGetShortExpVector(a) p_GetShortExpVector(a, currRing) |
|---|
| 133 | #ifdef HAVE_RINGS |
|---|
| 134 | /* divisibility check over ground ring (which may contain zero divisors); |
|---|
| 135 | TRUE iff LT(f) divides LT(g), i.e., LT(f)*c*m = LT(g), for some |
|---|
| 136 | coefficient c and some monomial m; |
|---|
| 137 | does not take components into account */ |
|---|
| 138 | BOOLEAN pDivisibleByRingCase(poly f, poly g); |
|---|
| 139 | #endif |
|---|
| 140 | |
|---|
| 141 | /*************************************************************** |
|---|
| 142 | * |
|---|
| 143 | * Copying/Deleteion of polys: args may be NULL |
|---|
| 144 | * |
|---|
| 145 | ***************************************************************/ |
|---|
| 146 | // return a copy of the poly |
|---|
| 147 | #define pCopy(p) p_Copy(p, currRing) |
|---|
| 148 | #define pDelete(p_ptr) p_Delete(p_ptr, currRing) |
|---|
| 149 | |
|---|
| 150 | /*************************************************************** |
|---|
| 151 | * |
|---|
| 152 | * Copying/Deletion of polys: args may be NULL |
|---|
| 153 | * - p/q as arg mean a poly |
|---|
| 154 | * - m a monomial |
|---|
| 155 | * - n a number |
|---|
| 156 | * - pp (resp. qq, mm, nn) means arg is constant |
|---|
| 157 | * - p (resp, q, m, n) means arg is destroyed |
|---|
| 158 | * |
|---|
| 159 | ***************************************************************/ |
|---|
| 160 | #define pNeg(p) p_Neg(p, currRing) |
|---|
| 161 | #define ppMult_nn(p, n) pp_Mult_nn(p, n, currRing) |
|---|
| 162 | #define pMult_nn(p, n) p_Mult_nn(p, n, currRing) |
|---|
| 163 | #define ppMult_mm(p, m) pp_Mult_mm(p, m, currRing) |
|---|
| 164 | #define pMult_mm(p, m) p_Mult_mm(p, m, currRing) |
|---|
| 165 | #define pAdd(p, q) p_Add_q(p, q, currRing) |
|---|
| 166 | #define pPower(p, q) p_Power(p, q, currRing) |
|---|
| 167 | #define pMinus_mm_Mult_qq(p, m, q) p_Minus_mm_Mult_qq(p, m, q, currRing) |
|---|
| 168 | #define pPlus_mm_Mult_qq(p, m, q) p_Plus_mm_Mult_qq(p, m, q, currRing) |
|---|
| 169 | #define pMult(p, q) p_Mult_q(p, q, currRing) |
|---|
| 170 | #define ppMult_qq(p, q) pp_Mult_qq(p, q, currRing) |
|---|
| 171 | // p*Coeff(m) for such monomials pm of p, for which m is divisble by pm |
|---|
| 172 | #define ppMult_Coeff_mm_DivSelect(p, m) pp_Mult_Coeff_mm_DivSelect(p, m, currRing) |
|---|
| 173 | /************************************************************************* |
|---|
| 174 | * |
|---|
| 175 | * Sort routines |
|---|
| 176 | * |
|---|
| 177 | *************************************************************************/ |
|---|
| 178 | // sorts p, assumes all monomials in p are different |
|---|
| 179 | #define pSortMerger(p) p_SortMerge(p, currRing) |
|---|
| 180 | #define pSort(p) p_SortMerge(p, currRing) |
|---|
| 181 | |
|---|
| 182 | // sorts p, p may have equal monomials |
|---|
| 183 | #define pSortAdd(p) p_SortAdd(p, currRing) |
|---|
| 184 | |
|---|
| 185 | |
|---|
| 186 | // Assume: If considerd only as poly in any component of p |
|---|
| 187 | // (say, monomials of other components of p are set to 0), |
|---|
| 188 | // then p is already sorted correctly |
|---|
| 189 | #define pSortCompCorrect(p) pSort(p) |
|---|
| 190 | |
|---|
| 191 | /*************************************************************** |
|---|
| 192 | * |
|---|
| 193 | * Predicates on polys/Lm's |
|---|
| 194 | * |
|---|
| 195 | ***************************************************************/ |
|---|
| 196 | // return true if all p is eihter NULL, or if all exponents |
|---|
| 197 | // of p are 0 and Comp of p is zero |
|---|
| 198 | #define pIsConstantComp(p) p_IsConstantComp(p, currRing) |
|---|
| 199 | // like above, except that Comp might be != 0 |
|---|
| 200 | #define pIsConstant(p) p_IsConstant(p,currRing) |
|---|
| 201 | // return true if the Lm is a constant <>0 |
|---|
| 202 | #define pIsUnit(p) p_IsUnit(p,currRing) |
|---|
| 203 | // like above, except that p must be != NULL |
|---|
| 204 | #define pLmIsConstantComp(p) p_LmIsConstantComp(p, currRing) |
|---|
| 205 | #define pLmIsConstant(p) p_LmIsConstant(p,currRing) |
|---|
| 206 | |
|---|
| 207 | // return TRUE if all monomials of p are constant |
|---|
| 208 | #define pIsConstantPoly(p) p_IsConstantPoly(p, currRing) |
|---|
| 209 | |
|---|
| 210 | #define pIsPurePower(p) p_IsPurePower(p, currRing) |
|---|
| 211 | #define pIsUnivariate(p) p_IsUnivariate(p, currRing) |
|---|
| 212 | #define pIsVector(p) (pGetComp(p)>0) |
|---|
| 213 | #define pGetVariables(p,e) p_GetVariables(p, e, currRing) |
|---|
| 214 | |
|---|
| 215 | /*************************************************************** |
|---|
| 216 | * |
|---|
| 217 | * Old stuff |
|---|
| 218 | * |
|---|
| 219 | ***************************************************************/ |
|---|
| 220 | |
|---|
| 221 | typedef poly* polyset; |
|---|
| 222 | extern int pOrdSgn; |
|---|
| 223 | extern BOOLEAN pLexOrder; |
|---|
| 224 | extern poly ppNoether; |
|---|
| 225 | extern BOOLEAN pVectorOut; |
|---|
| 226 | |
|---|
| 227 | /*-------------predicate on polys ----------------------*/ |
|---|
| 228 | #define pHasNotCF(p1,p2) p_HasNotCF(p1,p2,currRing) |
|---|
| 229 | /*has no common factor ?*/ |
|---|
| 230 | #define pSplit(p,r) p_Split(p,r) |
|---|
| 231 | /*p => IN(p), r => REST(p) */ |
|---|
| 232 | |
|---|
| 233 | |
|---|
| 234 | |
|---|
| 235 | /*-------------ring management:----------------------*/ |
|---|
| 236 | extern void pSetGlobals(const ring r, BOOLEAN complete = TRUE); |
|---|
| 237 | |
|---|
| 238 | // resets the pFDeg and pLDeg: if pLDeg is not given, it is |
|---|
| 239 | // set to currRing->pLDegOrig, i.e. to the respective LDegProc which |
|---|
| 240 | // only uses pFDeg (and not pDeg, or pTotalDegree, etc). |
|---|
| 241 | // If you use this, make sure your procs does not make any assumptions |
|---|
| 242 | // on ordering and/or OrdIndex -- otherwise they might return wrong results |
|---|
| 243 | // on strat->tailRing |
|---|
| 244 | extern void pSetDegProcs(pFDegProc new_FDeg, pLDegProc new_lDeg = NULL); |
|---|
| 245 | // restores pFDeg and pLDeg: |
|---|
| 246 | extern void pRestoreDegProcs(pFDegProc old_FDeg, pLDegProc old_lDeg); |
|---|
| 247 | |
|---|
| 248 | /*-----------the ordering of monomials:-------------*/ |
|---|
| 249 | #define pSetm(p) p_Setm(p, currRing) |
|---|
| 250 | // TODO: |
|---|
| 251 | #define pSetmComp(p) p_Setm(p, currRing) |
|---|
| 252 | |
|---|
| 253 | /*************************************************************** |
|---|
| 254 | * |
|---|
| 255 | * Degree stuff -- see p_polys.cc for explainations |
|---|
| 256 | * |
|---|
| 257 | ***************************************************************/ |
|---|
| 258 | extern pLDegProc pLDeg; |
|---|
| 259 | extern pFDegProc pFDeg; |
|---|
| 260 | #define pWeight(c) p_Weight(c,currRing) |
|---|
| 261 | #define pDeg(p) p_Deg(p,currRing) |
|---|
| 262 | static inline long pTotaldegree(poly p) { return p_Totaldegree(p,currRing); } |
|---|
| 263 | #define pWTotaldegree(p) p_WTotaldegree(p,currRing) |
|---|
| 264 | #define pWDegree(poly p) p_WDegree(p,currRing) |
|---|
| 265 | |
|---|
| 266 | /*-------------pComp for syzygies:-------------------*/ |
|---|
| 267 | |
|---|
| 268 | void pSetModDeg(intvec *w); |
|---|
| 269 | |
|---|
| 270 | |
|---|
| 271 | |
|---|
| 272 | |
|---|
| 273 | /*-------------operations on polynomials:------------*/ |
|---|
| 274 | #define pSub(a,b) p_Sub(a,b,currRing) |
|---|
| 275 | |
|---|
| 276 | #define pmInit(a,b) p_mInit(a,b,currRing) |
|---|
| 277 | |
|---|
| 278 | // ----------------- define to enable new p_procs -----*/ |
|---|
| 279 | |
|---|
| 280 | #define pDivide(a,b) p_Divide(a,b,currRing) |
|---|
| 281 | #define pLcm(a,b,m) p_Lcm(a,b,m,currRing) |
|---|
| 282 | #define pDiff(a,b) p_Diff(a,b,currRing) |
|---|
| 283 | #define pDiffOp(a,b,m) p_DiffOp(a,b,m,currRing) |
|---|
| 284 | |
|---|
| 285 | #define pMaxComp(p) p_MaxComp(p, currRing) |
|---|
| 286 | #define pMinComp(p) p_MinComp(p, currRing) |
|---|
| 287 | int pMaxCompProc(poly p); |
|---|
| 288 | |
|---|
| 289 | #define pOneComp(p) p_OneComp(p, currRing) |
|---|
| 290 | #define pSetCompP(a,i) p_SetCompP(a, i, currRing) |
|---|
| 291 | |
|---|
| 292 | // let's inline those, so that we can call them from the debugger |
|---|
| 293 | inline char* pString(poly p) {return p_String(p, currRing, currRing);} |
|---|
| 294 | inline char* pString0(poly p) {return p_String0(p, currRing, currRing);} |
|---|
| 295 | inline void pWrite(poly p) {p_Write(p, currRing, currRing);} |
|---|
| 296 | inline void pWrite0(poly p) {p_Write0(p, currRing, currRing);} |
|---|
| 297 | inline void wrp(poly p) {p_wrp(p, currRing, currRing);} |
|---|
| 298 | |
|---|
| 299 | void pEnlargeSet(polyset *p, int length, int increment); |
|---|
| 300 | #define pISet(i) p_ISet(i,currRing) |
|---|
| 301 | #define pNSet(n) p_NSet(n,currRing) |
|---|
| 302 | |
|---|
| 303 | #define pOne() p_One(currRing) |
|---|
| 304 | |
|---|
| 305 | #define pNormalize(p) p_Normalize(p,currRing) |
|---|
| 306 | #define pSize(p) p_Size(p,currRing) |
|---|
| 307 | |
|---|
| 308 | |
|---|
| 309 | // homogenizes p by multiplying certain powers of the varnum-th variable |
|---|
| 310 | #define pHomogen(p,varnum) p_Homogen(p,varnum,currRing) |
|---|
| 311 | |
|---|
| 312 | BOOLEAN pIsHomogeneous (poly p); |
|---|
| 313 | // // replaces the maximal powers of the leading monomial of p2 in p1 by |
|---|
| 314 | // // the same powers of n, utility for dehomogenization |
|---|
| 315 | // #define pDehomogen(p1,p2,n) p_Dehomgen(p1,p2,n,currRing) |
|---|
| 316 | // #define pIsHomogen(p) p_IsHomggen(p,currRing) |
|---|
| 317 | |
|---|
| 318 | poly pPermPoly (poly p, int * perm,const ring OldRing, nMapFunc nMap, |
|---|
| 319 | int *par_perm=NULL, int OldPar=0); |
|---|
| 320 | |
|---|
| 321 | /*BOOLEAN pVectorHasUnitM(poly p, int * k);*/ |
|---|
| 322 | #define pVectorHasUnitB(p,k) p_VectorHasUnitB(p,k,currRing) |
|---|
| 323 | #define pVectorHasUnit(p,k,l) p_VectorHasUnit(p,k,l,currRing) |
|---|
| 324 | #define pTakeOutComp1(p,k) p_TakeOutComp1(p,k,currRing) |
|---|
| 325 | |
|---|
| 326 | // Splits *p into two polys: *q which consists of all monoms with |
|---|
| 327 | // component == comp and *p of all other monoms *lq == pLength(*q) |
|---|
| 328 | // On return all components pf *q == 0 |
|---|
| 329 | void pTakeOutComp(poly *p, long comp, poly *q, int *lq); |
|---|
| 330 | |
|---|
| 331 | // This is something weird -- Don't use it, unless you know what you are doing |
|---|
| 332 | poly pTakeOutComp(poly * p, int k); |
|---|
| 333 | /* old spielwiese |
|---|
| 334 | #define pTakeOutComp(p,k,q,lq) p_TakeOutComp(p,k,q,lq,currRing) |
|---|
| 335 | |
|---|
| 336 | // Similar to pTakeOutComp, except that only those components are |
|---|
| 337 | // taken out whose Order == order |
|---|
| 338 | // ASSUME: monomial ordering is Order compatible, i.e., if m1, m2 Monoms then |
|---|
| 339 | // m1 >= m2 ==> pGetOrder(m1) >= pGetOrder(m2) |
|---|
| 340 | #define pDecrOrdTakeOutComp(p,c,o,q,lq) p_DecrOrdTakeOutComp(p,c,o,q,lq,currRing) |
|---|
| 341 | */ |
|---|
| 342 | void pSetPolyComp(poly p, int comp); |
|---|
| 343 | #define pDeleteComp(p,k) p_DeleteComp(p,k,currRing) |
|---|
| 344 | void pNorm(poly p); |
|---|
| 345 | poly pSubst(poly p, int n, poly e); |
|---|
| 346 | poly ppJet(poly p, int m); |
|---|
| 347 | poly pJet(poly p, int m); |
|---|
| 348 | poly ppJetW(poly p, int m, short * iv); |
|---|
| 349 | poly pJetW(poly p, int m, short * iv); |
|---|
| 350 | int pMinDeg(poly p,intvec *w=NULL); |
|---|
| 351 | poly pSeries(int n,poly p,poly u=NULL,intvec *w=NULL); |
|---|
| 352 | poly pInvers(int n, poly p,intvec *w=NULL); |
|---|
| 353 | // maximum weigthed degree of all monomials of p, w is indexed from |
|---|
| 354 | // 1..pVariables |
|---|
| 355 | long pDegW(poly p, const short *w); |
|---|
| 356 | |
|---|
| 357 | /*-----------type conversions ----------------------------*/ |
|---|
| 358 | //poly pPolys2Vec(polyset p, int len); |
|---|
| 359 | void pVec2Polys(poly v, polyset *p, int *len); |
|---|
| 360 | int p_Var(poly mi,const ring r); |
|---|
| 361 | #define pVar(m) p_Var(m,currRing) |
|---|
| 362 | |
|---|
| 363 | /*-----------specials for spoly-computations--------------*/ |
|---|
| 364 | BOOLEAN pCompareChain (poly p,poly p1,poly p2,poly lcm); |
|---|
| 365 | BOOLEAN pCompareChainPart (poly p,poly p1,poly p2,poly lcm); |
|---|
| 366 | #define pEqualPolys(p1,p2) p_EqualPolys(p1,p2,currRing) |
|---|
| 367 | BOOLEAN pComparePolys(poly p1,poly p2); |
|---|
| 368 | |
|---|
| 369 | |
|---|
| 370 | |
|---|
| 371 | /*************************************************************** |
|---|
| 372 | * |
|---|
| 373 | * PDEBUG stuff |
|---|
| 374 | * |
|---|
| 375 | ***************************************************************/ |
|---|
| 376 | #ifdef PDEBUG |
|---|
| 377 | #define pTest(p) _p_Test(p, currRing, PDEBUG) |
|---|
| 378 | #define pLmTest(p) _p_LmTest(p, currRing, PDEBUG) |
|---|
| 379 | |
|---|
| 380 | #else // ! PDEBUG |
|---|
| 381 | |
|---|
| 382 | #define pTest(p) ((void)0) |
|---|
| 383 | #define pLmTest(p) ((void)0) |
|---|
| 384 | #endif |
|---|
| 385 | |
|---|
| 386 | #endif // POLYS_H |
|---|
