1 | /**************************************** |
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2 | * Computer Algebra System SINGULAR * |
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3 | ****************************************/ |
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4 | /* $Id: polys0.cc,v 1.8 1998-01-05 16:39:27 Singular Exp $ */ |
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5 | |
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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 "febase.h" |
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15 | #include "numbers.h" |
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16 | #include "ring.h" |
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17 | #include "ipid.h" |
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18 | #include "polys.h" |
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19 | |
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20 | BOOLEAN pVectorOut=TRUE; |
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21 | /*2 |
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22 | * writes a monomial (p), |
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23 | * uses form x*gen(.) if ko != coloumn number of p |
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24 | */ |
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25 | static void writemon(poly p, int ko) |
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26 | { |
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27 | BOOLEAN wroteCoef=FALSE,writeGen=FALSE; |
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28 | |
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29 | nNormalize(pGetCoeff(p)); |
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30 | |
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31 | if (((pGetComp(p) == (short)ko) |
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32 | &&(pIsConstantComp(p))) |
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33 | || ((!nIsOne(pGetCoeff(p))) |
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34 | && (!nIsMOne(pGetCoeff(p))) |
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35 | ) |
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36 | #ifdef DRING |
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37 | || (pDRING && pdIsConstantComp(p)) |
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38 | #endif |
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39 | ) |
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40 | { |
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41 | nWrite(p->coef); |
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42 | wroteCoef=((pShortOut==0)||(currRing->parameter!=NULL)); |
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43 | writeGen=TRUE; |
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44 | } |
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45 | else if (nIsMOne(pGetCoeff(p))) |
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46 | { |
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47 | StringAppendS("-"); |
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48 | } |
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49 | |
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50 | int i; |
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51 | for (i=0; i<pVariables; i++) |
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52 | { |
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53 | #ifdef DRING |
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54 | if ((!pDRING)||(i!=2*pdN)) |
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55 | #endif |
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56 | { |
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57 | Exponent_t ee = pGetExp(p,i+1); |
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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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63 | wroteCoef=(pShortOut==0); |
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64 | writeGen=TRUE; |
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65 | #ifdef DRING |
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66 | if((pDRING)&&(pdN<=i)&&(i<2*pdN)&&(pdDFlag(p)==0)) |
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67 | { |
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68 | StringAppendS(RingVar(i-pdN)); |
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69 | ee=-ee; |
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70 | } |
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71 | else |
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72 | StringAppendS(RingVar(i)); |
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73 | #else |
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74 | StringAppendS(RingVar(i)); |
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75 | #endif |
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76 | if (ee != 1) |
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77 | { |
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78 | if (pShortOut==0) StringAppendS("^"); |
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79 | StringAppend("%d", ee); |
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80 | } |
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81 | } |
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82 | } |
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83 | } |
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84 | //StringAppend("{%d}",p->Order); |
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85 | if (pGetComp(p) != (Exponent_t)ko) |
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86 | { |
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87 | if (writeGen) StringAppendS("*"); |
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88 | StringAppend("gen(%d)", pGetComp(p)); |
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89 | } |
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90 | } |
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91 | |
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92 | char* pString0(poly p) |
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93 | { |
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94 | if (p == NULL) |
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95 | { |
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96 | return StringAppendS("0"); |
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97 | } |
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98 | if ((pGetComp(p) == 0) || (!pVectorOut)) |
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99 | { |
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100 | writemon(p,0); |
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101 | p = pNext(p); |
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102 | while (p!=NULL) |
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103 | { |
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104 | if ((p->coef==NULL)||nGreaterZero(p->coef)) |
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105 | StringAppendS("+"); |
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106 | writemon(p,0); |
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107 | p = pNext(p); |
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108 | } |
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109 | return StringAppendS(""); |
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110 | } |
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111 | |
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112 | Exponent_t k = 1; |
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113 | StringAppendS("["); |
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114 | loop |
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115 | { |
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116 | while (k < pGetComp(p)) |
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117 | { |
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118 | StringAppendS("0,"); |
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119 | k++; |
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120 | } |
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121 | writemon(p,k); |
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122 | pIter(p); |
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123 | while ((p!=NULL) && (k == pGetComp(p))) |
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124 | { |
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125 | if (nGreaterZero(p->coef)) StringAppendS("+"); |
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126 | writemon(p,k); |
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127 | pIter(p); |
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128 | } |
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129 | if (p == NULL) break; |
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130 | StringAppendS(","); |
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131 | k++; |
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132 | } |
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133 | return StringAppendS("]"); |
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134 | } |
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135 | |
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136 | char* pString(poly p) |
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137 | { |
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138 | StringSetS(""); |
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139 | return pString0(p); |
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140 | } |
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141 | |
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142 | /*2 |
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143 | * writes a polynomial p to stdout |
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144 | */ |
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145 | void pWrite0(poly p) |
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146 | { |
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147 | PrintS(pString(p)); |
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148 | } |
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149 | |
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150 | /*2 |
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151 | * writes a polynomial p to stdout followed by \n |
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152 | */ |
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153 | void pWrite(poly p) |
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154 | { |
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155 | pWrite0(p); |
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156 | PrintLn(); |
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157 | } |
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158 | |
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159 | /*2 |
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160 | *the standard debugging output: |
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161 | *print the first two monomials of the poly, |
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162 | *possibly followed by the string "+..." |
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163 | */ |
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164 | void wrp(poly p) |
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165 | { |
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166 | poly r; |
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167 | |
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168 | if (p==NULL) PrintS("NULL"); |
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169 | else if (pNext(p)==NULL) pWrite0(p); |
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170 | else |
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171 | { |
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172 | r = pNext(pNext(p)); |
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173 | pNext(pNext(p)) = NULL; |
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174 | pWrite0(p); |
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175 | if (r!=NULL) |
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176 | { |
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177 | PrintS("+..."); |
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178 | pNext(pNext(p)) = r; |
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179 | } |
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180 | } |
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181 | } |
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