1 | #include "kernel/mod2.h" // general settings/macros |
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2 | |
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3 | #ifdef SINGULAR_4_1 |
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4 | #include <reporter/reporter.h> // for Print, WerrorS |
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5 | #include <coeffs/numbers.h> // nRegister, coeffs.h |
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6 | #include <coeffs/rmodulon.h> // ZnmInfo |
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7 | #include <coeffs/bigintmat.h> // bigintmat |
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8 | #include <coeffs/longrat.h> // BIGINTs: nlGMP |
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9 | #include <polys/ext_fields/algext.h> // AlgExtInfo |
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10 | #include <misc/prime.h> // IsPrime |
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11 | #include <Singular/blackbox.h> // blackbox type |
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12 | #include <Singular/ipshell.h> // IsPrime |
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13 | #include <Singular/ipconv.h> // iiConvert etc. |
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14 | |
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15 | #include <Singular/ipid.h> // for SModulFunctions, leftv |
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16 | |
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17 | #include <Singular/number2.h> |
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18 | |
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19 | char *crString(coeffs c) |
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20 | { |
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21 | if (c==NULL) |
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22 | { |
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23 | return omStrDup("oo"); |
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24 | } |
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25 | return omStrDup(nCoeffName(c)); |
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26 | } |
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27 | void crPrint(coeffs c) |
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28 | { |
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29 | char *s=crString(c); |
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30 | PrintS(s); |
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31 | omFree(s); |
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32 | } |
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33 | |
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34 | // ----------------------------------------------------------- |
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35 | // interpreter stuff for cring/coeffs |
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36 | // ----------------------------------------------------------- |
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37 | BOOLEAN jjCRING_Zp(leftv res, leftv a, leftv b) |
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38 | { |
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39 | coeffs c1=(coeffs)a->Data(); |
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40 | int i2=(int)(long)b->Data(); |
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41 | if (c1->type==n_Z) |
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42 | { |
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43 | if (i2==IsPrime(i2)) |
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44 | { |
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45 | res->data=(void *)nInitChar(n_Zp,(void*)(long)i2); |
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46 | } |
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47 | else |
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48 | { |
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49 | ZnmInfo info; |
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50 | mpz_ptr modBase= (mpz_ptr) omAlloc(sizeof(mpz_t)); |
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51 | mpz_init_set_ui(modBase,i2); |
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52 | info.base= modBase; |
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53 | info.exp= 1; |
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54 | res->data=(void *)nInitChar(n_Zn,&info); |
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55 | } |
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56 | return FALSE; |
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57 | } |
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58 | return TRUE; |
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59 | } |
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60 | BOOLEAN jjCRING_Zm(leftv res, leftv a, leftv b) |
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61 | { |
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62 | coeffs c1=(coeffs)a->Data(); |
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63 | number i2=(number)b->Data(); |
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64 | if (c1->type==n_Z) |
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65 | { |
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66 | ZnmInfo info; |
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67 | number modBase= (number) omAlloc(sizeof(mpz_t)); |
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68 | nlGMP(i2,modBase,coeffs_BIGINT); // FIXME? TODO? // extern void nlGMP(number &i, number n, const coeffs r); // to be replaced with n_MPZ(modBase,i2,coeffs_BIGINT); // ? |
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69 | info.base= (mpz_ptr)modBase; |
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70 | info.exp= 1; |
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71 | res->data=(void *)nInitChar(n_Zn,&info); |
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72 | return FALSE; |
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73 | } |
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74 | return TRUE; |
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75 | } |
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76 | |
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77 | // ----------------------------------------------------------- |
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78 | // interpreter stuff for Number/number2 |
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79 | // ----------------------------------------------------------- |
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80 | BOOLEAN jjNUMBER2_POW(leftv res, leftv a, leftv b) |
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81 | { |
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82 | number2 a2=(number2)a->Data(); |
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83 | if (a2->cf==NULL) return TRUE; |
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84 | number2 r=(number2)omAlloc0(sizeof(*r)); |
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85 | r->cf=a2->cf; |
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86 | n_Power(a2->n,(int)(long)b->Data(),&(r->n),r->cf); |
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87 | return FALSE; |
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88 | } |
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89 | BOOLEAN jjNUMBER2_OP2(leftv res, leftv a, leftv b) |
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90 | { |
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91 | int op=iiOp; |
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92 | // binary operations for number2 |
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93 | number2 a2=NULL; |
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94 | number aa=NULL; |
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95 | number2 b2=NULL; |
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96 | number bb=NULL; |
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97 | leftv an = (leftv)omAlloc0Bin(sleftv_bin); |
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98 | leftv bn = (leftv)omAlloc0Bin(sleftv_bin); |
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99 | int ai,bi; |
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100 | int at=a->Typ(); |
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101 | int bt=b->Typ(); |
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102 | if ((ai=iiTestConvert(at,CNUMBER_CMD,dConvertTypes))!=0) |
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103 | { |
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104 | if ((bi=iiTestConvert(bt,CNUMBER_CMD,dConvertTypes))!=0) |
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105 | { |
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106 | iiConvert(at,CNUMBER_CMD,ai,a,an); |
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107 | iiConvert(bt,CNUMBER_CMD,bi,b,bn); |
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108 | a2=(number2)an->Data(); |
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109 | b2=(number2)bn->Data(); |
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110 | if (((a2!=NULL) && (b2!=NULL) && (a2->cf!=b2->cf)) |
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111 | || (a2==NULL) |
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112 | || (b2==NULL)) |
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113 | { |
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114 | an->CleanUp(); |
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115 | bn->CleanUp(); |
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116 | omFreeBin((ADDRESS)an, sleftv_bin); |
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117 | omFreeBin((ADDRESS)bn, sleftv_bin); |
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118 | WerrorS("Number not compatible"); |
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119 | return TRUE; |
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120 | } |
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121 | aa=a2->n; |
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122 | bb=b2->n; |
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123 | number2 r=(number2)omAlloc0(sizeof(*r)); |
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124 | r->cf=a2->cf; |
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125 | if (r->cf==NULL) op=0; // force error |
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126 | switch(op) |
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127 | { |
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128 | case '+': r->n=n_Add(aa,bb,r->cf);break; |
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129 | case '-': r->n=n_Sub(aa,bb,r->cf);break; |
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130 | case '*': r->n=n_Mult(aa,bb,r->cf);break; |
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131 | case '/': r->n=n_Div(aa,bb,r->cf);break; |
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132 | case '%': r->n=n_IntMod(aa,bb,r->cf);break; |
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133 | default: Werror("unknown binary operation %s(%d)",Tok2Cmdname(op),op); |
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134 | omFree(r); |
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135 | an->CleanUp(); |
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136 | bn->CleanUp(); |
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137 | omFreeBin((ADDRESS)an, sleftv_bin); |
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138 | omFreeBin((ADDRESS)bn, sleftv_bin); |
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139 | return TRUE; |
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140 | } |
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141 | res->data=(void*)r; |
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142 | r->cf->ref++; |
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143 | return FALSE; |
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144 | } |
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145 | else |
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146 | { |
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147 | an->CleanUp(); |
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148 | omFreeBin((ADDRESS)an, sleftv_bin); |
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149 | Werror("cannot convert second operand (%s) to Number",b->Name()); |
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150 | return TRUE; |
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151 | } |
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152 | } |
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153 | else |
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154 | { |
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155 | Werror("cannot convert first operand (%s) to Number",a->Name()); |
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156 | return TRUE; |
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157 | } |
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158 | } |
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159 | BOOLEAN jjNUMBER2_OP1(leftv res, leftv a) |
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160 | { |
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161 | int op=iiOp; |
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162 | // unary operations for number2 |
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163 | number2 a2=(number2)a->Data(); |
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164 | number2 r=(number2)omAlloc(sizeof(*r)); |
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165 | r->cf=a2->cf; |
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166 | if (a2->cf==NULL) op=0; // force error |
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167 | switch(op) |
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168 | { |
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169 | case '-': r->n=n_Copy(a2->n,a2->cf);r->n=n_InpNeg(r->n,a2->cf);break; |
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170 | default: Werror("unknown unary operation %s(%d)",Tok2Cmdname(op),op); |
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171 | omFree(r); |
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172 | return TRUE; |
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173 | } |
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174 | res->data=(void*)r; |
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175 | r->cf->ref++; |
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176 | return FALSE; |
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177 | } |
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178 | |
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179 | BOOLEAN jjPOLY2_POW(leftv res, leftv a, leftv b) |
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180 | { |
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181 | poly2 a2=(poly2)a->Data(); |
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182 | if (a2->cf==NULL) return TRUE; |
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183 | poly2 r=(poly2)omAlloc0(sizeof(*r)); |
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184 | r->cf=a2->cf; |
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185 | r->n=p_Power(p_Copy(a2->n,r->cf),(int)(long)b->Data(),r->cf); |
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186 | return FALSE; |
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187 | } |
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188 | BOOLEAN jjPOLY2_OP2(leftv res, leftv a, leftv b) |
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189 | { |
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190 | int op=iiOp; |
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191 | // binary operations for poly2 |
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192 | poly2 a2=NULL; |
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193 | poly aa=NULL; |
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194 | poly2 b2=NULL; |
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195 | poly bb=NULL; |
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196 | leftv an = (leftv)omAlloc0Bin(sleftv_bin); |
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197 | leftv bn = (leftv)omAlloc0Bin(sleftv_bin); |
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198 | int ai,bi; |
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199 | int at=a->Typ(); |
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200 | int bt=b->Typ(); |
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201 | if ((ai=iiTestConvert(at,CPOLY_CMD,dConvertTypes))!=0) |
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202 | { |
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203 | if ((bi=iiTestConvert(bt,CPOLY_CMD,dConvertTypes))!=0) |
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204 | { |
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205 | iiConvert(at,CPOLY_CMD,ai,a,an); |
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206 | iiConvert(bt,CPOLY_CMD,bi,b,bn); |
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207 | a2=(poly2)an->Data(); |
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208 | b2=(poly2)bn->Data(); |
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209 | if (((a2!=NULL) && (b2!=NULL) && (a2->cf!=b2->cf)) |
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210 | || (a2==NULL) |
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211 | || (b2==NULL)) |
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212 | { |
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213 | an->CleanUp(); |
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214 | bn->CleanUp(); |
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215 | omFreeBin((ADDRESS)an, sleftv_bin); |
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216 | omFreeBin((ADDRESS)bn, sleftv_bin); |
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217 | WerrorS("Poly not compatible"); |
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218 | return TRUE; |
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219 | } |
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220 | aa=a2->n; |
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221 | bb=b2->n; |
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222 | poly2 r=(poly2)omAlloc0(sizeof(*r)); |
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223 | r->cf=a2->cf; |
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224 | if (r->cf==NULL) op=0; // force error |
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225 | switch(op) |
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226 | { |
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227 | case '+': r->n=p_Add_q(p_Copy(aa,r->cf),p_Copy(bb,r->cf),r->cf);break; |
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228 | case '-': r->n=p_Sub(p_Copy(aa,r->cf),p_Copy(bb,r->cf),r->cf);break; |
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229 | case '*': r->n=pp_Mult_qq(aa,bb,r->cf);break; |
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230 | //case '/': r->n=n_Div(aa,bb,r->cf);break; |
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231 | //case '%': r->n=n_IntMod(aa,bb,r->cf);break; |
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232 | default: Werror("unknown binary operation %s(%d)",Tok2Cmdname(op),op); |
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233 | omFree(r); |
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234 | an->CleanUp(); |
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235 | bn->CleanUp(); |
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236 | omFreeBin((ADDRESS)an, sleftv_bin); |
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237 | omFreeBin((ADDRESS)bn, sleftv_bin); |
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238 | return TRUE; |
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239 | } |
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240 | res->data=(void*)r; |
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241 | r->cf->ref++; |
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242 | return FALSE; |
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243 | } |
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244 | else |
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245 | { |
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246 | an->CleanUp(); |
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247 | omFreeBin((ADDRESS)an, sleftv_bin); |
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248 | Werror("cannot convert second operand (%s) to Poly",b->Name()); |
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249 | return TRUE; |
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250 | } |
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251 | } |
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252 | else |
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253 | { |
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254 | Werror("cannot convert first operand (%s) to Poly",a->Name()); |
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255 | return TRUE; |
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256 | } |
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257 | } |
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258 | BOOLEAN jjPOLY2_OP1(leftv res, leftv a) |
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259 | { |
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260 | int op=iiOp; |
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261 | // unary operations for poly2 |
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262 | poly2 a2=(poly2)a->Data(); |
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263 | poly2 r=(poly2)omAlloc(sizeof(*r)); |
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264 | r->cf=a2->cf; |
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265 | if (a2->cf==NULL) op=0; // force error |
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266 | switch(op) |
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267 | { |
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268 | case '-': r->n=p_Copy(a2->n,a2->cf);r->n=p_Neg(r->n,a2->cf);break; |
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269 | default: Werror("unknown unary operation %s(%d)",Tok2Cmdname(op),op); |
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270 | omFree(r); |
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271 | return TRUE; |
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272 | } |
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273 | res->data=(void*)r; |
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274 | r->cf->ref++; |
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275 | return FALSE; |
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276 | } |
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277 | |
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278 | BOOLEAN jjNUMBER2CR(leftv res, leftv a, leftv b) |
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279 | { |
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280 | number2 r=(number2)omAlloc(sizeof(*r)); |
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281 | r->cf=(coeffs)b->CopyD(); |
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282 | BOOLEAN bo=FALSE; |
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283 | switch(a->Typ()) |
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284 | { |
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285 | case INT_CMD: |
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286 | r->n=n_Init((long)a->Data(),r->cf); break; |
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287 | case BIGINT_CMD: |
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288 | { |
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289 | nMapFunc nMap=n_SetMap(coeffs_BIGINT,r->cf); |
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290 | r->n=nMap((number)a->Data(),coeffs_BIGINT,r->cf); break; |
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291 | } |
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292 | case NUMBER_CMD: |
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293 | { |
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294 | nMapFunc nMap=n_SetMap(currRing->cf,r->cf); |
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295 | if (nMap!=NULL) |
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296 | r->n=nMap((number)a->Data(),currRing->cf,r->cf); |
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297 | else |
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298 | bo=TRUE; |
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299 | break; |
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300 | } |
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301 | case CNUMBER_CMD: |
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302 | { |
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303 | number2 a2=(number2)a->Data(); |
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304 | if (a2->cf==NULL) bo=TRUE; |
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305 | else |
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306 | { |
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307 | nMapFunc nMap=n_SetMap(a2->cf,r->cf); |
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308 | if (nMap!=NULL) |
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309 | r->n=nMap(a2->n,a2->cf,r->cf); |
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310 | else |
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311 | bo=TRUE; |
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312 | } |
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313 | break; |
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314 | } |
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315 | default: bo=TRUE; break; |
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316 | } |
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317 | if (bo) |
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318 | { |
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319 | Werror("no conversion to Number from %s",Tok2Cmdname(a->Typ())); |
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320 | omFreeSize(r,sizeof(*r)); |
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321 | } |
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322 | else |
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323 | res->data=(void*)r; |
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324 | return bo; |
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325 | } |
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326 | |
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327 | BOOLEAN jjN2_CR(leftv res, leftv a) // number2 ->cring |
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328 | { |
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329 | number2 n=(number2)a->Data(); |
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330 | n->cf->ref++; |
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331 | res->data=(void*)n->cf; |
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332 | return FALSE; |
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333 | } |
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334 | |
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335 | BOOLEAN jjP2_R(leftv res, leftv a) // poly2 ->ring |
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336 | { |
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337 | poly2 n=(poly2)a->Data(); |
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338 | n->cf->ref++; |
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339 | res->data=(void*)n->cf; |
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340 | return FALSE; |
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341 | } |
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342 | |
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343 | BOOLEAN jjCM_CR(leftv res, leftv a) // cmatrix ->cring |
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344 | { |
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345 | bigintmat *b=(bigintmat*)a->Data(); |
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346 | coeffs cf=b->basecoeffs(); |
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347 | if (cf!=NULL) |
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348 | { |
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349 | cf->ref++; |
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350 | } |
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351 | res->data=(void*)cf; |
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352 | return FALSE; |
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353 | } |
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354 | |
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355 | BOOLEAN jjCMATRIX_3(leftv res, leftv r, leftv c,leftv cf) |
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356 | { |
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357 | bigintmat *b=new bigintmat((int)(long)r->Data(), |
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358 | (int)(long)c->Data(), |
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359 | (coeffs)cf->Data()); |
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360 | res->data=(char*)b; |
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361 | return FALSE; |
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362 | } |
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363 | |
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364 | BOOLEAN jjN2_N(leftv res, leftv a) // number2 ->number |
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365 | { |
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366 | number2 n2=(number2)a->Data(); |
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367 | BOOLEAN bo=TRUE; |
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368 | if (currRing!=NULL) |
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369 | { |
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370 | nMapFunc nMap=n_SetMap(n2->cf,currRing->cf); |
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371 | if (nMap!=NULL) |
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372 | { |
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373 | res->data=(void*)nMap(n2->n,n2->cf,currRing->cf); |
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374 | bo=FALSE; |
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375 | } |
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376 | } |
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377 | return bo; |
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378 | } |
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379 | |
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380 | BOOLEAN jjEQUAL_CR(leftv res, leftv a, leftv b) |
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381 | { |
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382 | coeffs a2=(coeffs)a->Data(); |
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383 | coeffs b2=(coeffs)b->Data(); |
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384 | res->data=(void*)(long)(a2==b2); |
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385 | return FALSE; |
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386 | } |
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387 | // ----------------------------------------------------------- |
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388 | // operations with Number/number2 |
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389 | // ----------------------------------------------------------- |
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390 | number2 n2Copy(const number2 d) |
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391 | { |
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392 | number2 r=NULL; |
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393 | if ((d!=NULL)&&(d->cf!=NULL)) |
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394 | { |
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395 | r=(number2)omAlloc(sizeof(*r)); |
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396 | d->cf->ref++; |
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397 | r->cf=d->cf; |
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398 | if (d->cf!=NULL) |
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399 | r->n=n_Copy(d->n,d->cf); |
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400 | else |
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401 | r->n=NULL; |
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402 | } |
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403 | return r; |
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404 | } |
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405 | void n2Delete(number2 &d) |
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406 | { |
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407 | if (d!=NULL) |
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408 | { |
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409 | if (d->cf!=NULL) |
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410 | { |
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411 | n_Delete(&d->n,d->cf); |
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412 | nKillChar(d->cf); |
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413 | } |
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414 | omFreeSize(d,sizeof(*d)); |
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415 | d=NULL; |
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416 | } |
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417 | } |
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418 | char *n2String(number2 d, BOOLEAN typed) |
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419 | { |
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420 | StringSetS(""); |
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421 | if ((d!=NULL) && (d->cf!=NULL)) |
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422 | { |
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423 | if (typed) StringAppendS("Number("); |
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424 | n_Write(d->n,d->cf); |
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425 | if (typed) StringAppendS(")"); |
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426 | } |
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427 | else StringAppendS("oo"); |
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428 | return StringEndS(); |
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429 | } |
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430 | |
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431 | void n2Print(number2 d) |
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432 | { |
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433 | char *s=n2String(d,FALSE); |
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434 | PrintS(s); |
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435 | omFree(s); |
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436 | } |
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437 | |
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438 | // ----------------------------------------------------------- |
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439 | // operations with Poly/poly2 |
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440 | // ----------------------------------------------------------- |
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441 | |
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442 | poly2 p2Copy(const poly2 d) |
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443 | { |
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444 | poly2 r=NULL; |
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445 | if ((d!=NULL)&&(d->cf!=NULL)) |
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446 | { |
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447 | r=(poly2)omAlloc(sizeof(*r)); |
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448 | d->cf->ref++; |
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449 | r->cf=d->cf; |
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450 | if (d->cf!=NULL) |
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451 | r->n=p_Copy(d->n,d->cf); |
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452 | else |
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453 | r->n=NULL; |
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454 | } |
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455 | return r; |
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456 | } |
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457 | void p2Delete(poly2 &d) |
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458 | { |
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459 | if (d!=NULL) |
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460 | { |
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461 | if (d->cf!=NULL) |
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462 | { |
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463 | p_Delete(&d->n,d->cf); |
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464 | rKill(d->cf); |
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465 | } |
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466 | omFreeSize(d,sizeof(*d)); |
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467 | d=NULL; |
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468 | } |
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469 | } |
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470 | char *p2String(poly2 d, BOOLEAN typed) |
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471 | { |
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472 | StringSetS(""); |
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473 | if ((d!=NULL) && (d->cf!=NULL)) |
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474 | { |
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475 | if (typed) StringAppendS("Poly("); |
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476 | p_Write0(d->n,d->cf); |
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477 | if (typed) StringAppendS(")"); |
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478 | } |
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479 | else StringAppendS("oo"); |
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480 | return StringEndS(); |
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481 | } |
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482 | |
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483 | void p2Print(poly2 d) |
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484 | { |
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485 | char *s=p2String(d,FALSE); |
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486 | PrintS(s); |
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487 | omFree(s); |
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488 | } |
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489 | |
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490 | // --------------------------------------------------------------------- |
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491 | #include <coeffs/bigintmat.h> |
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492 | BOOLEAN jjBIM2_CR(leftv res, leftv a) // bigintmat ->cring |
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493 | { |
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494 | bigintmat *b=(bigintmat*)a->Data(); |
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495 | coeffs cf=b->basecoeffs(); |
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496 | if (cf==NULL) return TRUE; |
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497 | cf->ref++; |
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498 | res->data=(void*)cf; |
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499 | return FALSE; |
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500 | } |
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501 | |
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502 | BOOLEAN jjR2_CR(leftv res, leftv a) // ring ->cring |
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503 | { |
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504 | ring r=(ring)a->Data(); |
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505 | AlgExtInfo extParam; |
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506 | extParam.r = r; |
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507 | coeffs cf=nInitChar(n_polyExt,&extParam); |
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508 | res->data=(void*)cf; |
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509 | return FALSE; |
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510 | } |
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511 | |
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512 | #endif |
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