[0e1846] | 1 | /**************************************** |
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| 2 | * Computer Algebra System SINGULAR * |
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| 3 | ****************************************/ |
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[a29995] | 4 | /* $Id: polys0.cc,v 1.18 2000-11-28 11:50:56 obachman Exp $ */ |
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[32df82] | 5 | |
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[0e1846] | 6 | /* |
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| 7 | * ABSTRACT - all basic methods to convert polynomials to strings |
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| 8 | */ |
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| 9 | |
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| 10 | /* includes */ |
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| 11 | #include "mod2.h" |
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| 12 | #include "tok.h" |
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| 13 | #include "structs.h" |
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| 14 | #include "numbers.h" |
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| 15 | #include "ring.h" |
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[c5f4b9] | 16 | #include "p_polys.h" |
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| 17 | #include "febase.h" |
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[0e1846] | 18 | |
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| 19 | /*2 |
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| 20 | * writes a monomial (p), |
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| 21 | * uses form x*gen(.) if ko != coloumn number of p |
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| 22 | */ |
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[c5f4b9] | 23 | static void writemon(poly p, int ko, ring r) |
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[0e1846] | 24 | { |
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| 25 | BOOLEAN wroteCoef=FALSE,writeGen=FALSE; |
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| 26 | |
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[8a150b] | 27 | if (pGetCoeff(p)!=NULL) |
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| 28 | nNormalize(pGetCoeff(p)); |
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[116a98] | 29 | |
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[c5f4b9] | 30 | if (((p_GetComp(p,r) == (short)ko) |
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| 31 | &&(p_LmIsConstantComp(p, r))) |
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[da97958] | 32 | || ((!nIsOne(pGetCoeff(p))) |
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[116a98] | 33 | && (!nIsMOne(pGetCoeff(p))) |
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| 34 | ) |
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[0e1846] | 35 | ) |
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| 36 | { |
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[da97958] | 37 | nWrite(p->coef); |
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[c5f4b9] | 38 | wroteCoef=(rShortOut(r) == FALSE ||(r->parameter!=NULL)); |
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[da97958] | 39 | writeGen=TRUE; |
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| 40 | } |
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| 41 | else if (nIsMOne(pGetCoeff(p))) |
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| 42 | { |
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[be0519] | 43 | if (nGreaterZero(pGetCoeff(p))) |
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| 44 | { |
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| 45 | nWrite(p->coef); |
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[c5f4b9] | 46 | wroteCoef=(rShortOut(r) == FALSE ||(r->parameter!=NULL)); |
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[be0519] | 47 | writeGen=TRUE; |
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| 48 | } |
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[a9a7be] | 49 | else |
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[be0519] | 50 | StringAppendS("-"); |
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[0e1846] | 51 | } |
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[da97958] | 52 | |
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| 53 | int i; |
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[c5f4b9] | 54 | for (i=0; i<r->N; i++) |
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[0e1846] | 55 | { |
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| 56 | { |
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[c5f4b9] | 57 | Exponent_t ee = p_GetExp(p,i+1,r); |
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[0e1846] | 58 | if (ee!=0) |
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| 59 | { |
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| 60 | if (wroteCoef) |
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| 61 | StringAppendS("*"); |
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| 62 | //else |
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[c5f4b9] | 63 | wroteCoef=(rShortOut(r) == FALSE); |
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[0e1846] | 64 | writeGen=TRUE; |
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[c5f4b9] | 65 | StringAppendS(rRingVar(i, r)); |
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[0e1846] | 66 | if (ee != 1) |
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| 67 | { |
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[c5f4b9] | 68 | if (rShortOut(r)==0) StringAppendS("^"); |
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[0e1846] | 69 | StringAppend("%d", ee); |
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| 70 | } |
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| 71 | } |
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| 72 | } |
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| 73 | } |
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[954622] | 74 | //StringAppend("{%d}",p->Order); |
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[c5f4b9] | 75 | if (p_GetComp(p, r) != (Exponent_t)ko) |
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[0e1846] | 76 | { |
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| 77 | if (writeGen) StringAppendS("*"); |
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[c5f4b9] | 78 | StringAppend("gen(%d)", p_GetComp(p, r)); |
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[0e1846] | 79 | } |
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| 80 | } |
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| 81 | |
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[beb237] | 82 | char* p_String0(poly p, ring lmRing, ring tailRing) |
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[0e1846] | 83 | { |
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| 84 | if (p == NULL) |
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| 85 | { |
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| 86 | return StringAppendS("0"); |
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| 87 | } |
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[47bc1c] | 88 | if ((p_GetComp(p, lmRing) == 0) || (!lmRing->VectorOut)) |
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[0e1846] | 89 | { |
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[47bc1c] | 90 | writemon(p,0, lmRing); |
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[0e1846] | 91 | p = pNext(p); |
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| 92 | while (p!=NULL) |
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| 93 | { |
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| 94 | if ((p->coef==NULL)||nGreaterZero(p->coef)) |
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| 95 | StringAppendS("+"); |
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[47bc1c] | 96 | writemon(p,0, tailRing); |
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[0e1846] | 97 | p = pNext(p); |
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| 98 | } |
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| 99 | return StringAppendS(""); |
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| 100 | } |
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| 101 | |
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[51c163] | 102 | Exponent_t k = 1; |
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[0e1846] | 103 | StringAppendS("["); |
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| 104 | loop |
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| 105 | { |
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[47bc1c] | 106 | while (k < p_GetComp(p,lmRing)) |
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[0e1846] | 107 | { |
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| 108 | StringAppendS("0,"); |
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| 109 | k++; |
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| 110 | } |
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[47bc1c] | 111 | writemon(p,k,lmRing); |
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[da97958] | 112 | pIter(p); |
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[47bc1c] | 113 | while ((p!=NULL) && (k == p_GetComp(p, tailRing))) |
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[0e1846] | 114 | { |
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| 115 | if (nGreaterZero(p->coef)) StringAppendS("+"); |
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[47bc1c] | 116 | writemon(p,k,tailRing); |
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[da97958] | 117 | pIter(p); |
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[0e1846] | 118 | } |
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| 119 | if (p == NULL) break; |
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| 120 | StringAppendS(","); |
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| 121 | k++; |
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| 122 | } |
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| 123 | return StringAppendS("]"); |
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| 124 | } |
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| 125 | |
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[beb237] | 126 | char* p_String(poly p, ring lmRing, ring tailRing) |
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[0e1846] | 127 | { |
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| 128 | StringSetS(""); |
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[beb237] | 129 | return p_String0(p, lmRing, tailRing); |
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[0e1846] | 130 | } |
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| 131 | |
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| 132 | /*2 |
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| 133 | * writes a polynomial p to stdout |
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| 134 | */ |
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[beb237] | 135 | void p_Write0(poly p, ring lmRing, ring tailRing) |
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[0e1846] | 136 | { |
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[beb237] | 137 | PrintS(p_String(p, lmRing, tailRing)); |
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[0e1846] | 138 | } |
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| 139 | |
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| 140 | /*2 |
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| 141 | * writes a polynomial p to stdout followed by \n |
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| 142 | */ |
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[beb237] | 143 | void p_Write(poly p, ring lmRing, ring tailRing) |
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[0e1846] | 144 | { |
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[beb237] | 145 | p_Write0(p, lmRing, tailRing); |
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[0e1846] | 146 | PrintLn(); |
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| 147 | } |
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| 148 | |
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| 149 | /*2 |
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| 150 | *the standard debugging output: |
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[47bc1c] | 151 | *print the first two monomials of the poly (wrp) or only the lead term (wrp0), |
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[0e1846] | 152 | *possibly followed by the string "+..." |
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| 153 | */ |
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[beb237] | 154 | void p_wrp0(poly p, ring ri) |
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[37fd1b] | 155 | { |
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| 156 | poly r; |
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| 157 | |
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| 158 | if (p==NULL) PrintS("NULL"); |
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[beb237] | 159 | else if (pNext(p)==NULL) p_Write0(p, ri); |
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[37fd1b] | 160 | else |
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| 161 | { |
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| 162 | r = pNext(p); |
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| 163 | pNext(p) = NULL; |
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[beb237] | 164 | p_Write0(p, ri); |
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[37fd1b] | 165 | if (r!=NULL) |
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| 166 | { |
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| 167 | PrintS("+..."); |
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| 168 | pNext(p) = r; |
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| 169 | } |
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| 170 | } |
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| 171 | } |
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[a29995] | 172 | #if 1 |
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[beb237] | 173 | void p_wrp(poly p, ring lmRing, ring tailRing) |
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[0e1846] | 174 | { |
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| 175 | poly r; |
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| 176 | |
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| 177 | if (p==NULL) PrintS("NULL"); |
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[beb237] | 178 | else if (pNext(p)==NULL) p_Write0(p, lmRing); |
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[0e1846] | 179 | else |
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| 180 | { |
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| 181 | r = pNext(pNext(p)); |
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| 182 | pNext(pNext(p)) = NULL; |
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[beb237] | 183 | p_Write0(p, lmRing, tailRing); |
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[0e1846] | 184 | if (r!=NULL) |
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| 185 | { |
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| 186 | PrintS("+..."); |
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| 187 | pNext(pNext(p)) = r; |
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| 188 | } |
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| 189 | } |
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| 190 | } |
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[a29995] | 191 | #else |
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| 192 | // this is for use with buckets |
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| 193 | void p_wrp(poly p, ring lmRing, ring tailRing) |
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| 194 | { |
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| 195 | poly r; |
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| 196 | |
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| 197 | if (p==NULL) PrintS("NULL"); |
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| 198 | else if (pNext(p)==NULL) p_Write0(p, lmRing); |
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| 199 | else |
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| 200 | { |
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| 201 | r = pNext(p); |
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| 202 | pNext(p) = NULL; |
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| 203 | p_Write0(p, lmRing, tailRing); |
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| 204 | pNext(p) = r; |
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| 205 | } |
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| 206 | } |
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| 207 | #endif |
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