1 | /**************************************** |
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2 | * Computer Algebra System SINGULAR * |
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3 | ****************************************/ |
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4 | /* $Id: ring.cc,v 1.67 1999-09-29 17:19:04 Singular Exp $ */ |
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5 | |
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6 | /* |
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7 | * ABSTRACT - the interpreter related ring operations |
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8 | */ |
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9 | |
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10 | /* includes */ |
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11 | #include <math.h> |
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12 | #include "mod2.h" |
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13 | #include "mmemory.h" |
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14 | #include "tok.h" |
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15 | #include "ipid.h" |
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16 | #include "polys.h" |
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17 | #include "numbers.h" |
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18 | #include "febase.h" |
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19 | #include "ipshell.h" |
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20 | #include "ipconv.h" |
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21 | #include "intvec.h" |
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22 | #include "longalg.h" |
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23 | #include "ffields.h" |
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24 | #include "subexpr.h" |
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25 | #include "ideals.h" |
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26 | #include "lists.h" |
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27 | #include "ring.h" |
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28 | |
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29 | // static procedures |
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30 | // unconditionally deletes fields in r |
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31 | static void rDelete(ring r); |
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32 | |
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33 | /*0 implementation*/ |
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34 | //BOOLEAN rField_is_R(ring r=currRing) |
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35 | //{ |
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36 | // if (r->ch== -1) |
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37 | // { |
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38 | // if (r->ch_flags==(short)0) return TRUE; |
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39 | // } |
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40 | // return FALSE; |
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41 | //} |
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42 | |
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43 | int rBlocks(ring r) |
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44 | { |
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45 | int i=0; |
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46 | while (r->order[i]!=0) i++; |
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47 | return i+1; |
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48 | } |
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49 | |
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50 | // internally changes the gloabl ring and resets the relevant |
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51 | // global variables: |
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52 | // complete == FALSE : only delete operations are enabled |
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53 | // complete == TRUE : full reset of all variables |
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54 | void rChangeCurrRing(ring r, BOOLEAN complete) |
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55 | { |
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56 | /*------------ set global ring vars --------------------------------*/ |
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57 | currRing = r; |
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58 | currQuotient=NULL; |
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59 | |
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60 | if (r != NULL) |
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61 | { |
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62 | rTest(r); |
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63 | if (complete) |
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64 | { |
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65 | /*------------ set global ring vars --------------------------------*/ |
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66 | currQuotient=r->qideal; |
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67 | /*------------ set redTail, except reset by nSetChar or pSetGlobals */ |
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68 | test |= Sy_bit(OPT_REDTAIL); |
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69 | } |
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70 | |
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71 | /*------------ global variables related to coefficients ------------*/ |
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72 | nSetChar(r, complete); |
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73 | |
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74 | /*------------ global variables related to polys -------------------*/ |
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75 | pSetGlobals(r, complete); |
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76 | |
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77 | |
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78 | if (complete) |
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79 | { |
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80 | /*------------ set naMinimalPoly -----------------------------------*/ |
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81 | if (r->minpoly!=NULL) |
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82 | { |
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83 | naMinimalPoly=((lnumber)r->minpoly)->z; |
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84 | } |
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85 | |
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86 | /*------------ set spolys ------------------------------------------*/ |
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87 | } |
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88 | } |
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89 | } |
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90 | |
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91 | void rSetHdl(idhdl h, BOOLEAN complete) |
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92 | { |
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93 | int i; |
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94 | ring rg = NULL; |
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95 | if (h!=NULL) |
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96 | { |
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97 | rg = IDRING(h); |
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98 | mmTestP((ADDRESS)h,sizeof(idrec)); |
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99 | mmTestLP((ADDRESS)IDID(h)); |
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100 | rTest(rg); |
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101 | } |
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102 | else complete=FALSE; |
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103 | |
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104 | // clean up history |
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105 | if (((sLastPrinted.rtyp>BEGIN_RING) && (sLastPrinted.rtyp<END_RING)) |
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106 | || ((sLastPrinted.rtyp==LIST_CMD)&&(lRingDependend((lists)sLastPrinted.data)))) |
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107 | { |
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108 | sLastPrinted.CleanUp(); |
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109 | memset(&sLastPrinted,0,sizeof(sleftv)); |
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110 | } |
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111 | |
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112 | /*------------ change the global ring -----------------------*/ |
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113 | rChangeCurrRing(rg,complete); |
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114 | currRingHdl = h; |
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115 | |
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116 | /*------------ set pShortOut -----------------------*/ |
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117 | if (complete /*&&(h!=NULL)*/) |
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118 | { |
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119 | #ifdef HAVE_TCL |
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120 | if (tclmode) |
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121 | { |
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122 | PrintTCLS('R',IDID(h)); |
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123 | pShortOut=(int)FALSE; |
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124 | } |
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125 | else |
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126 | #endif |
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127 | { |
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128 | pShortOut=(int)TRUE; |
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129 | if ((rg->parameter!=NULL) && (rg->ch<2)) |
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130 | { |
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131 | for (i=0;i<rPar(rg);i++) |
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132 | { |
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133 | if(strlen(rg->parameter[i])>1) |
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134 | { |
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135 | pShortOut=(int)FALSE; |
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136 | break; |
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137 | } |
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138 | } |
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139 | } |
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140 | if (pShortOut) |
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141 | { |
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142 | for (i=(rg->N-1);i>=0;i--) |
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143 | { |
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144 | if(strlen(rg->names[i])>1) |
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145 | { |
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146 | pShortOut=(int)FALSE; |
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147 | break; |
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148 | } |
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149 | } |
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150 | } |
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151 | } |
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152 | } |
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153 | |
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154 | } |
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155 | |
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156 | idhdl rDefault(char *s) |
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157 | { |
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158 | idhdl tmp=NULL; |
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159 | |
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160 | if (s!=NULL) tmp = enterid(s, myynest, RING_CMD, &IDROOT); |
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161 | if (tmp==NULL) return NULL; |
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162 | |
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163 | if (ppNoether!=NULL) pDelete(&ppNoether); |
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164 | if ((sLastPrinted.rtyp>BEGIN_RING) && (sLastPrinted.rtyp<END_RING)) |
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165 | { |
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166 | sLastPrinted.CleanUp(); |
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167 | memset(&sLastPrinted,0,sizeof(sleftv)); |
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168 | } |
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169 | |
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170 | ring r = IDRING(tmp); |
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171 | |
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172 | r->ch = 32003; |
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173 | r->N = 3; |
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174 | /*r->P = 0; Alloc0 in idhdl::set, ipid.cc*/ |
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175 | /*names*/ |
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176 | r->names = (char **) Alloc(3 * sizeof(char *)); |
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177 | r->names[0] = mstrdup("x"); |
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178 | r->names[1] = mstrdup("y"); |
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179 | r->names[2] = mstrdup("z"); |
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180 | /*weights: entries for 3 blocks: NULL*/ |
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181 | r->wvhdl = (int **)Alloc0(3 * sizeof(int *)); |
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182 | /*order: dp,C,0*/ |
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183 | r->order = (int *) Alloc(3 * sizeof(int *)); |
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184 | r->block0 = (int *)Alloc(3 * sizeof(int *)); |
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185 | r->block1 = (int *)Alloc(3 * sizeof(int *)); |
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186 | /* ringorder dp for the first block: var 1..3 */ |
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187 | r->order[0] = ringorder_dp; |
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188 | r->block0[0] = 1; |
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189 | r->block1[0] = 3; |
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190 | /* ringorder C for the second block: no vars */ |
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191 | r->order[1] = ringorder_C; |
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192 | r->block0[1] = 0; |
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193 | r->block1[1] = 0; |
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194 | /* the last block: everything is 0 */ |
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195 | r->order[2] = 0; |
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196 | r->block0[2] = 0; |
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197 | r->block1[2] = 0; |
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198 | /*polynomial ring*/ |
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199 | r->OrdSgn = 1; |
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200 | |
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201 | /* complete ring intializations */ |
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202 | rComplete(r); |
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203 | rSetHdl(tmp,TRUE); |
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204 | return currRingHdl; |
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205 | } |
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206 | |
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207 | /////////////////////////////////////////////////////////////////////////// |
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208 | // |
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209 | // rInit: define a new ring from sleftv's |
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210 | // |
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211 | |
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212 | ///////////////////////////// |
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213 | // Auxillary functions |
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214 | // |
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215 | |
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216 | // check intvec, describing the ordering |
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217 | static BOOLEAN rCheckIV(intvec *iv) |
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218 | { |
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219 | if ((iv->length()!=2)&&(iv->length()!=3)) |
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220 | { |
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221 | WerrorS("weights only for orderings wp,ws,Wp,Ws,a,M"); |
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222 | return TRUE; |
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223 | } |
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224 | return FALSE; |
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225 | } |
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226 | |
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227 | static int rTypeOfMatrixOrder(intvec * order) |
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228 | { |
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229 | int i=0,j,typ=1; |
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230 | int sz = (int)sqrt((double)(order->length()-2)); |
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231 | |
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232 | while ((i<sz) && (typ==1)) |
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233 | { |
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234 | j=0; |
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235 | while ((j<sz) && ((*order)[j*sz+i+2]==0)) j++; |
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236 | if (j>=sz) |
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237 | { |
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238 | typ = 0; |
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239 | WerrorS("Matrix order not complete"); |
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240 | } |
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241 | else if ((*order)[j*sz+i+2]<0) |
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242 | typ = -1; |
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243 | else |
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244 | i++; |
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245 | } |
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246 | return typ; |
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247 | } |
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248 | |
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249 | // set R->order, R->block, R->wvhdl, r->OrdSgn from sleftv |
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250 | static BOOLEAN rSleftvOrdering2Ordering(sleftv *ord, ring R) |
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251 | { |
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252 | int last = 0, o=0, n = 1, i=0, typ = 1, j; |
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253 | sleftv *sl = ord; |
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254 | |
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255 | #ifdef HAVE_SHIFTED_EXPONENTS |
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256 | R->bitmask= ~((unsigned long)0); |
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257 | #endif |
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258 | |
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259 | // determine nBlocks |
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260 | while (sl!=NULL) |
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261 | { |
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262 | intvec *iv = (intvec *)(sl->data); |
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263 | if (((*iv)[1]==ringorder_c)||((*iv)[1]==ringorder_C)) i++; |
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264 | else if ((*iv)[1]!=ringorder_a) o++; |
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265 | #ifdef HAVE_SHIFTED_EXPONENTS |
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266 | else if ((*iv)[1]!=ringorder_L) |
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267 | { |
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268 | R->bitmask=(*iv)[2]; |
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269 | } |
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270 | else |
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271 | #endif |
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272 | n++; |
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273 | sl=sl->next; |
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274 | } |
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275 | // check whether at least one real ordering |
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276 | if (o==0) |
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277 | { |
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278 | WerrorS("invalid combination of orderings"); |
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279 | return TRUE; |
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280 | } |
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281 | // if no c/C ordering is given, increment n |
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282 | if (i==0) n++; |
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283 | else if (i != 1) |
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284 | { |
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285 | // throw error if more than one is given |
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286 | WerrorS("more than one ordering c/C specified"); |
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287 | return TRUE; |
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288 | } |
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289 | |
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290 | // initialize fields of R |
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291 | R->order=(int *)Alloc0(n*sizeof(int)); |
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292 | R->block0=(int *)Alloc0(n*sizeof(int)); |
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293 | R->block1=(int *)Alloc0(n*sizeof(int)); |
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294 | R->wvhdl=(int**)Alloc0(n*sizeof(int*)); |
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295 | |
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296 | // init order, so that rBlocks works correctly |
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297 | for (j=0; j < n-1; j++) |
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298 | R->order[j] = (int) ringorder_unspec; |
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299 | // set last _C order, if no c/C order was given |
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300 | if (i == 0) R->order[n-2] = ringorder_C; |
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301 | |
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302 | /* init orders */ |
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303 | sl=ord; |
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304 | n=-1; |
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305 | while (sl!=NULL) |
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306 | { |
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307 | intvec *iv; |
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308 | iv = (intvec *)(sl->data); |
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309 | #ifdef HAVE_SHIFTED_EXPONENTS |
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310 | if ((*iv)[1]!=ringorder_L) |
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311 | { |
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312 | #endif |
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313 | n++; |
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314 | |
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315 | /* the format of an ordering: |
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316 | * iv[0]: factor |
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317 | * iv[1]: ordering |
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318 | * iv[2..end]: weights |
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319 | */ |
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320 | R->order[n] = (*iv)[1]; |
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321 | switch ((*iv)[1]) |
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322 | { |
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323 | case ringorder_ws: |
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324 | case ringorder_Ws: |
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325 | typ=-1; |
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326 | case ringorder_wp: |
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327 | case ringorder_Wp: |
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328 | R->wvhdl[n]=(int*)AllocL((iv->length()-1)*sizeof(int)); |
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329 | for (i=2; i<iv->length(); i++) |
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330 | R->wvhdl[n][i-2] = (*iv)[i]; |
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331 | R->block0[n] = last+1; |
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332 | last += iv->length()-2; |
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333 | R->block1[n] = last; |
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334 | break; |
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335 | case ringorder_ls: |
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336 | case ringorder_ds: |
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337 | case ringorder_Ds: |
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338 | typ=-1; |
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339 | case ringorder_lp: |
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340 | case ringorder_dp: |
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341 | case ringorder_Dp: |
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342 | R->block0[n] = last+1; |
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343 | if (iv->length() == 3) last+=(*iv)[2]; |
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344 | else last += (*iv)[0]; |
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345 | R->block1[n] = last; |
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346 | if (rCheckIV(iv)) return TRUE; |
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347 | break; |
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348 | case ringorder_S: |
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349 | case ringorder_c: |
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350 | case ringorder_C: |
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351 | if (rCheckIV(iv)) return TRUE; |
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352 | break; |
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353 | case ringorder_a: |
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354 | R->block0[n] = last+1; |
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355 | R->block1[n] = last + iv->length() - 2; |
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356 | R->wvhdl[n] = (int*)AllocL((iv->length()-1)*sizeof(int)); |
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357 | for (i=2; i<iv->length(); i++) |
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358 | { |
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359 | R->wvhdl[n][i-2]=(*iv)[i]; |
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360 | if ((*iv)[i]<0) typ=-1; |
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361 | } |
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362 | break; |
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363 | case ringorder_M: |
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364 | { |
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365 | int Mtyp=rTypeOfMatrixOrder(iv); |
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366 | if (Mtyp==0) return TRUE; |
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367 | if (Mtyp==-1) typ = -1; |
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368 | |
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369 | R->wvhdl[n] =( int *)AllocL((iv->length()-1)*sizeof(int)); |
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370 | for (i=2; i<iv->length();i++) |
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371 | R->wvhdl[n][i-2]=(*iv)[i]; |
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372 | |
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373 | R->block0[n] = last+1; |
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374 | last += (int)sqrt((double)(iv->length()-2)); |
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375 | R->block1[n] = last; |
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376 | break; |
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377 | } |
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378 | |
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379 | case ringorder_no: |
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380 | R->order[n] = ringorder_unspec; |
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381 | return TRUE; |
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382 | |
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383 | default: |
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384 | Werror("Internal Error: Unknown ordering %d", (*iv)[1]); |
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385 | R->order[n] = ringorder_unspec; |
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386 | return TRUE; |
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387 | } |
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388 | #ifdef HAVE_SHIFTED_EXPONENTS |
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389 | } |
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390 | #endif |
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391 | sl=sl->next; |
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392 | } |
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393 | |
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394 | // check for complete coverage |
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395 | if ((R->order[n]==ringorder_c) || (R->order[n]==ringorder_C)) n--; |
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396 | if (R->block1[n] != R->N) |
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397 | { |
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398 | if (((R->order[n]==ringorder_dp) || |
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399 | (R->order[n]==ringorder_ds) || |
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400 | (R->order[n]==ringorder_Dp) || |
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401 | (R->order[n]==ringorder_Ds) || |
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402 | (R->order[n]==ringorder_lp) || |
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403 | (R->order[n]==ringorder_ls)) |
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404 | && |
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405 | R->block0[n] <= R->N) |
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406 | { |
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407 | R->block1[n] = R->N; |
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408 | } |
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409 | else |
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410 | { |
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411 | Werror("mismatch of number of vars (%d) and ordering (%d vars)", |
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412 | R->N,R->block1[n]); |
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413 | return TRUE; |
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414 | } |
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415 | } |
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416 | R->OrdSgn = typ; |
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417 | return FALSE; |
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418 | } |
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419 | |
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420 | // get array of strings from list of sleftv's |
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421 | static BOOLEAN rSleftvList2StringArray(sleftv* sl, char** p) |
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422 | { |
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423 | |
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424 | while(sl!=NULL) |
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425 | { |
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426 | if (sl->Name() == sNoName) |
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427 | { |
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428 | if (sl->Typ()==POLY_CMD) |
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429 | { |
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430 | sleftv s_sl; |
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431 | iiConvert(POLY_CMD,ANY_TYPE,-1,sl,&s_sl); |
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432 | if (s_sl.Name() != sNoName) |
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433 | *p = mstrdup(s_sl.Name()); |
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434 | else |
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435 | *p = NULL; |
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436 | sl->next = s_sl.next; |
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437 | s_sl.next = NULL; |
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438 | s_sl.CleanUp(); |
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439 | if (*p == NULL) return TRUE; |
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440 | } |
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441 | else |
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442 | return TRUE; |
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443 | } |
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444 | else |
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445 | *p = mstrdup(sl->Name()); |
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446 | p++; |
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447 | sl=sl->next; |
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448 | } |
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449 | return FALSE; |
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450 | } |
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451 | |
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452 | |
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453 | //////////////////// |
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454 | // |
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455 | // rInit itself: |
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456 | // |
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457 | // INPUT: s: name, pn: ch & parameter (names), rv: variable (names) |
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458 | // ord: ordering |
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459 | // RETURN: currRingHdl on success |
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460 | // NULL on error |
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461 | // NOTE: * makes new ring to current ring, on success |
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462 | // * considers input sleftv's as read-only |
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463 | idhdl rInit(char *s, sleftv* pn, sleftv* rv, sleftv* ord) |
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464 | { |
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465 | int ch; |
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466 | int float_len=0; |
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467 | ring R = NULL; |
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468 | idhdl tmp = NULL; |
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469 | BOOLEAN ffChar=FALSE; |
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470 | int typ = 1; |
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471 | |
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472 | /* ch -------------------------------------------------------*/ |
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473 | // get ch of ground field |
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474 | int numberOfAllocatedBlocks; |
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475 | |
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476 | if (pn->Typ()==INT_CMD) |
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477 | { |
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478 | ch=(int)pn->Data(); |
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479 | } |
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480 | else if ((pn->name != NULL) |
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481 | && ((strcmp(pn->name,"real")==0) || (strcmp(pn->name,"complex")==0))) |
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482 | { |
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483 | BOOLEAN complex_flag=(strcmp(pn->name,"complex")==0); |
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484 | ch=-1; |
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485 | if ((pn->next!=NULL) && (pn->next->Typ()==INT_CMD)) |
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486 | { |
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487 | float_len=(int)pn->next->Data(); |
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488 | pn=pn->next; |
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489 | } |
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490 | if ((pn->next==NULL) && complex_flag) |
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491 | { |
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492 | pn->next=(leftv)Alloc0(sizeof(sleftv)); |
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493 | pn->next->name=mstrdup("i"); |
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494 | } |
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495 | } |
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496 | else |
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497 | { |
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498 | Werror("Wrong ground field specification"); |
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499 | goto rInitError; |
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500 | } |
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501 | pn=pn->next; |
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502 | |
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503 | int l, last; |
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504 | sleftv * sl; |
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505 | ip_sring tmpR; |
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506 | /*every entry in the new ring is initialized to 0*/ |
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507 | |
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508 | /* characteristic -----------------------------------------------*/ |
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509 | /* input: 0 ch=0 : Q parameter=NULL ffChar=FALSE ch_flags |
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510 | * 0 1 : Q(a,...) *names FALSE |
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511 | * 0 -1 : R NULL FALSE 0 |
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512 | * 0 -1 : R NULL FALSE prec. >6 |
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513 | * 0 -1 : C *names FALSE prec. 0..? |
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514 | * p p : Fp NULL FALSE |
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515 | * p -p : Fp(a) *names FALSE |
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516 | * q q : GF(q=p^n) *names TRUE |
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517 | */ |
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518 | memset(&tmpR,0,sizeof(tmpR)); |
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519 | if (ch!=-1) |
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520 | { |
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521 | int l = 0; |
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522 | |
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523 | if (ch!=0 && (ch<2) || (ch > 32003)) |
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524 | { |
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525 | Warn("%d is invalid characteristic of ground field. 32003 is used.", ch); |
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526 | ch=32003; |
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527 | } |
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528 | // load fftable, if necessary |
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529 | if (pn!=NULL) |
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530 | { |
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531 | while ((ch!=fftable[l]) && (fftable[l])) l++; |
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532 | if (fftable[l]==0) ch = IsPrime(ch); |
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533 | else |
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534 | { |
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535 | char *m[1]={(char *)sNoName}; |
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536 | nfSetChar(ch,m); |
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537 | if (errorreported) goto rInitError; |
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538 | else ffChar=TRUE; |
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539 | } |
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540 | } |
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541 | else |
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542 | ch = IsPrime(ch); |
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543 | } |
---|
544 | // allocated ring and set ch |
---|
545 | R = (ring) Alloc0(sizeof(sip_sring)); |
---|
546 | R->ch = ch; |
---|
547 | if (ch == -1) |
---|
548 | { |
---|
549 | R->ch_flags= min(float_len,32767); |
---|
550 | } |
---|
551 | |
---|
552 | /* parameter -------------------------------------------------------*/ |
---|
553 | if (pn!=NULL) |
---|
554 | { |
---|
555 | R->P=pn->listLength(); |
---|
556 | //if ((ffChar|| (ch == 1)) && (R->P > 1)) |
---|
557 | if ((R->P > 1) && (ffChar || (ch == -1))) |
---|
558 | { |
---|
559 | WerrorS("too many parameters"); |
---|
560 | goto rInitError; |
---|
561 | } |
---|
562 | R->parameter=(char**)Alloc0(R->P*sizeof(char *)); |
---|
563 | if (rSleftvList2StringArray(pn, R->parameter)) |
---|
564 | { |
---|
565 | WerrorS("parameter expected"); |
---|
566 | goto rInitError; |
---|
567 | } |
---|
568 | if (ch>1 && !ffChar) R->ch=-ch; |
---|
569 | else if (ch==0) R->ch=1; |
---|
570 | } |
---|
571 | else if (ffChar) |
---|
572 | { |
---|
573 | WerrorS("need one parameter"); |
---|
574 | goto rInitError; |
---|
575 | } |
---|
576 | /* post-processing of field description */ |
---|
577 | // we have short reals, but no short complex |
---|
578 | if ((R->ch == - 1) |
---|
579 | && (R->parameter !=NULL) |
---|
580 | && (R->ch_flags < SHORT_REAL_LENGTH)) |
---|
581 | R->ch_flags = SHORT_REAL_LENGTH; |
---|
582 | |
---|
583 | /* names and number of variables-------------------------------------*/ |
---|
584 | R->N = rv->listLength(); |
---|
585 | R->names = (char **)Alloc0(R->N * sizeof(char *)); |
---|
586 | if (rSleftvList2StringArray(rv, R->names)) |
---|
587 | { |
---|
588 | WerrorS("name of ring variable expected"); |
---|
589 | goto rInitError; |
---|
590 | } |
---|
591 | |
---|
592 | /* check names and parameters for conflicts ------------------------- */ |
---|
593 | { |
---|
594 | int i,j; |
---|
595 | for(i=0;i<R->P; i++) |
---|
596 | { |
---|
597 | for(j=0;j<R->N;j++) |
---|
598 | { |
---|
599 | if (strcmp(R->parameter[i],R->names[j])==0) |
---|
600 | { |
---|
601 | Werror("parameter %d conflicts with variable %d",i+1,j+1); |
---|
602 | goto rInitError; |
---|
603 | } |
---|
604 | } |
---|
605 | } |
---|
606 | } |
---|
607 | /* ordering -------------------------------------------------------------*/ |
---|
608 | if (rSleftvOrdering2Ordering(ord, R)) |
---|
609 | goto rInitError; |
---|
610 | |
---|
611 | // Complete the initialization |
---|
612 | if (rComplete(R)) |
---|
613 | goto rInitError; |
---|
614 | |
---|
615 | // try to enter the ring into the name list // |
---|
616 | if ((tmp = enterid(s, myynest, RING_CMD, &IDROOT))==NULL) |
---|
617 | goto rInitError; |
---|
618 | |
---|
619 | memcpy(IDRING(tmp),R,sizeof(*R)); |
---|
620 | // set current ring |
---|
621 | Free(R, sizeof(ip_sring)); |
---|
622 | return tmp; |
---|
623 | |
---|
624 | // error case: |
---|
625 | rInitError: |
---|
626 | if (R != NULL) rDelete(R); |
---|
627 | return NULL; |
---|
628 | } |
---|
629 | |
---|
630 | /*2 |
---|
631 | * set a new ring from the data: |
---|
632 | s: name, chr: ch, varnames: rv, ordering: ord, typ: typ |
---|
633 | */ |
---|
634 | |
---|
635 | int rIsRingVar(char *n) |
---|
636 | { |
---|
637 | if ((currRing!=NULL) && (currRing->names!=NULL)) |
---|
638 | { |
---|
639 | for (int i=0; i<currRing->N; i++) |
---|
640 | { |
---|
641 | if (currRing->names[i]==NULL) return -1; |
---|
642 | if (strcmp(n,currRing->names[i]) == 0) return (int)i; |
---|
643 | } |
---|
644 | } |
---|
645 | return -1; |
---|
646 | } |
---|
647 | |
---|
648 | char* RingVar(short i) |
---|
649 | { |
---|
650 | return currRing->names[i]; |
---|
651 | } |
---|
652 | |
---|
653 | void rWrite(ring r) |
---|
654 | { |
---|
655 | if ((r==NULL)||(r->order==NULL)) |
---|
656 | return; /*to avoid printing after errors....*/ |
---|
657 | |
---|
658 | int nblocks=rBlocks(r); |
---|
659 | |
---|
660 | mmTestP(r,sizeof(ip_sring)); |
---|
661 | mmTestP(r->order,nblocks*sizeof(int)); |
---|
662 | mmTestP(r->block0,nblocks*sizeof(int)); |
---|
663 | mmTestP(r->block1,nblocks*sizeof(int)); |
---|
664 | mmTestP(r->wvhdl,nblocks*sizeof(int *)); |
---|
665 | mmTestP(r->names,r->N*sizeof(char *)); |
---|
666 | |
---|
667 | nblocks--; |
---|
668 | |
---|
669 | |
---|
670 | if (rField_is_GF(r)) |
---|
671 | { |
---|
672 | Print("// # ground field : %d\n",rInternalChar(r)); |
---|
673 | Print("// primitive element : %s\n", r->parameter[0]); |
---|
674 | if (r==currRing) |
---|
675 | { |
---|
676 | StringSetS("// minpoly : "); |
---|
677 | nfShowMipo();PrintS(StringAppendS("\n")); |
---|
678 | } |
---|
679 | } |
---|
680 | else |
---|
681 | { |
---|
682 | PrintS("// characteristic : "); |
---|
683 | if ( rField_is_R(r) ) PrintS("0 (real)\n"); /* R */ |
---|
684 | else if ( rField_is_long_R(r) ) |
---|
685 | Print("0 (real:%d digits)\n",r->ch_flags); /* long R */ |
---|
686 | else if ( rField_is_long_C(r) ) |
---|
687 | Print("0 (complex:%d digits)\n",r->ch_flags); /* long C */ |
---|
688 | else |
---|
689 | Print ("%d\n",rChar(r)); /* Fp(a) */ |
---|
690 | if (r->parameter!=NULL) |
---|
691 | { |
---|
692 | Print ("// %d parameter : ",rPar(r)); |
---|
693 | char **sp=r->parameter; |
---|
694 | int nop=0; |
---|
695 | while (nop<rPar(r)) |
---|
696 | { |
---|
697 | PrintS(*sp); |
---|
698 | PrintS(" "); |
---|
699 | sp++; nop++; |
---|
700 | } |
---|
701 | PrintS("\n// minpoly : "); |
---|
702 | if ( rField_is_long_C(r) ) |
---|
703 | { |
---|
704 | // i^2+1: |
---|
705 | Print("(%s^2+1)\n",r->parameter[0]); |
---|
706 | } |
---|
707 | else if (r->minpoly==NULL) |
---|
708 | { |
---|
709 | PrintS("0\n"); |
---|
710 | } |
---|
711 | else if (r==currRing) |
---|
712 | { |
---|
713 | StringSetS(""); nWrite(r->minpoly); PrintS(StringAppendS("\n")); |
---|
714 | } |
---|
715 | else |
---|
716 | { |
---|
717 | PrintS("...\n"); |
---|
718 | } |
---|
719 | } |
---|
720 | } |
---|
721 | Print("// number of vars : %d",r->N); |
---|
722 | |
---|
723 | //for (nblocks=0; r->order[nblocks]; nblocks++); |
---|
724 | nblocks=rBlocks(r)-1; |
---|
725 | |
---|
726 | for (int l=0, nlen=0 ; l<nblocks; l++) |
---|
727 | { |
---|
728 | int i; |
---|
729 | Print("\n// block %3d : ",l+1); |
---|
730 | |
---|
731 | Print("ordering %c", (" acCMSldDwWldDwWu")[r->order[l]]); |
---|
732 | if (r->order[l]>=ringorder_lp) |
---|
733 | { |
---|
734 | if (r->order[l]>=ringorder_ls) |
---|
735 | PrintS("s"); |
---|
736 | else |
---|
737 | PrintS("p"); |
---|
738 | } |
---|
739 | |
---|
740 | if ((r->order[l] >= ringorder_lp) |
---|
741 | ||(r->order[l] == ringorder_M) |
---|
742 | ||(r->order[l] == ringorder_a)) |
---|
743 | { |
---|
744 | PrintS("\n// : names "); |
---|
745 | for (i = r->block0[l]-1; i<r->block1[l]; i++) |
---|
746 | { |
---|
747 | nlen = strlen(r->names[i]); |
---|
748 | Print("%s ",r->names[i]); |
---|
749 | } |
---|
750 | } |
---|
751 | |
---|
752 | if (r->wvhdl[l]!=NULL) |
---|
753 | { |
---|
754 | for (int j= 0; |
---|
755 | j<(r->block1[l]-r->block0[l]+1)*(r->block1[l]-r->block0[l]+1); |
---|
756 | j+=i) |
---|
757 | { |
---|
758 | PrintS("\n// : weights "); |
---|
759 | for (i = 0; i<=r->block1[l]-r->block0[l]; i++) |
---|
760 | { |
---|
761 | Print("%*d " ,nlen,r->wvhdl[l][i+j],i+j); |
---|
762 | } |
---|
763 | if (r->order[l]!=ringorder_M) break; |
---|
764 | } |
---|
765 | } |
---|
766 | } |
---|
767 | if (r->qideal!=NULL) |
---|
768 | { |
---|
769 | PrintS("\n// quotient ring from ideal"); |
---|
770 | if (r==currRing) |
---|
771 | { |
---|
772 | PrintLn(); |
---|
773 | iiWriteMatrix((matrix)r->qideal,"_",1); |
---|
774 | } |
---|
775 | else PrintS(" ..."); |
---|
776 | } |
---|
777 | } |
---|
778 | |
---|
779 | static void rDelete(ring r) |
---|
780 | { |
---|
781 | int i, j; |
---|
782 | |
---|
783 | if (r == NULL) return; |
---|
784 | |
---|
785 | rUnComplete(r); |
---|
786 | // delete order stuff |
---|
787 | if (r->order != NULL) |
---|
788 | { |
---|
789 | i=rBlocks(r); |
---|
790 | assume(r->block0 != NULL && r->block1 != NULL && r->wvhdl != NULL); |
---|
791 | // delete order |
---|
792 | Free((ADDRESS)r->order,i*sizeof(int)); |
---|
793 | Free((ADDRESS)r->block0,i*sizeof(int)); |
---|
794 | Free((ADDRESS)r->block1,i*sizeof(int)); |
---|
795 | // delete weights |
---|
796 | for (j=0; j<i; j++) |
---|
797 | { |
---|
798 | if (r->wvhdl[j]!=NULL) |
---|
799 | FreeL(r->wvhdl[j]); |
---|
800 | } |
---|
801 | Free((ADDRESS)r->wvhdl,i*sizeof(short *)); |
---|
802 | } |
---|
803 | else |
---|
804 | { |
---|
805 | assume(r->block0 == NULL && r->block1 == NULL && r->wvhdl == NULL); |
---|
806 | } |
---|
807 | |
---|
808 | // delete varnames |
---|
809 | if(r->names!=NULL) |
---|
810 | { |
---|
811 | for (i=0; i<r->N; i++) |
---|
812 | { |
---|
813 | if (r->names[i] != NULL) FreeL((ADDRESS)r->names[i]); |
---|
814 | } |
---|
815 | Free((ADDRESS)r->names,r->N*sizeof(char *)); |
---|
816 | } |
---|
817 | |
---|
818 | // delete parameter |
---|
819 | if (r->parameter!=NULL) |
---|
820 | { |
---|
821 | char **s=r->parameter; |
---|
822 | j = 0; |
---|
823 | while (j < rPar(r)) |
---|
824 | { |
---|
825 | if (*s != NULL) FreeL((ADDRESS)*s); |
---|
826 | s++; |
---|
827 | j++; |
---|
828 | } |
---|
829 | Free((ADDRESS)r->parameter,rPar(r)*sizeof(char *)); |
---|
830 | } |
---|
831 | Free(r, sizeof(ip_sring)); |
---|
832 | } |
---|
833 | |
---|
834 | void rKill(ring r) |
---|
835 | { |
---|
836 | rTest(r); |
---|
837 | if ((r->ref<=0)&&(r->order!=NULL)) |
---|
838 | { |
---|
839 | #ifdef RDEBUG |
---|
840 | if (traceit &TRACE_SHOW_RINGS) Print("kill ring %x\n",r); |
---|
841 | #endif |
---|
842 | if (r==currRing) |
---|
843 | { |
---|
844 | if (r->qideal!=NULL) |
---|
845 | { |
---|
846 | idDelete(&r->qideal); |
---|
847 | r->qideal=NULL; |
---|
848 | currQuotient=NULL; |
---|
849 | } |
---|
850 | if (ppNoether!=NULL) pDelete(&ppNoether); |
---|
851 | if ((sLastPrinted.rtyp>BEGIN_RING) && (sLastPrinted.rtyp<END_RING)) |
---|
852 | { |
---|
853 | sLastPrinted.CleanUp(); |
---|
854 | memset(&sLastPrinted,0,sizeof(sleftv)); |
---|
855 | } |
---|
856 | currRing=NULL; |
---|
857 | currRingHdl=NULL; |
---|
858 | } |
---|
859 | else if (r->qideal!=NULL) |
---|
860 | { |
---|
861 | ring savecurrRing = currRing; |
---|
862 | rChangeCurrRing((ring)r,FALSE); |
---|
863 | idDelete(&r->qideal); |
---|
864 | r->qideal=NULL; |
---|
865 | rChangeCurrRing(savecurrRing,FALSE); |
---|
866 | } |
---|
867 | int i=1; |
---|
868 | int j; |
---|
869 | int *pi=r->order; |
---|
870 | #ifdef USE_IILOCALRING |
---|
871 | for (j=0;j<iiRETURNEXPR_len;j++) |
---|
872 | { |
---|
873 | if (iiLocalRing[j]==r) |
---|
874 | { |
---|
875 | if (j<myynest) Warn("killing the basering for level %d",j); |
---|
876 | iiLocalRing[j]=NULL; |
---|
877 | } |
---|
878 | } |
---|
879 | #else /* USE_IILOCALRING */ |
---|
880 | { |
---|
881 | namehdl nshdl = namespaceroot; |
---|
882 | |
---|
883 | for(nshdl=namespaceroot; nshdl->isroot != TRUE; nshdl = nshdl->next) { |
---|
884 | //Print("NSstack: %s:%d, nesting=%d\n", nshdl->name, nshdl->lev, nshdl->myynest); |
---|
885 | if (nshdl->currRing==r) |
---|
886 | { |
---|
887 | if (nshdl->myynest<myynest) |
---|
888 | // Warn("killing the basering for level %d/%d",nshdl->lev,nshdl->myynest); |
---|
889 | Warn("killing the basering for level %d",nshdl->myynest); |
---|
890 | nshdl->currRing=NULL; |
---|
891 | } |
---|
892 | } |
---|
893 | if (nshdl->currRing==r) |
---|
894 | { |
---|
895 | //Print("NSstack: %s:%d, nesting=%d\n", nshdl->name, nshdl->lev, nshdl->myynest); |
---|
896 | if (nshdl->myynest<myynest) |
---|
897 | // Warn("killing the basering for level %d/%d",nshdl->lev,nshdl->myynest); |
---|
898 | Warn("killing the basering for level %d",nshdl->myynest); |
---|
899 | nshdl->currRing=NULL; |
---|
900 | } |
---|
901 | } |
---|
902 | #endif /* USE_IILOCALRING */ |
---|
903 | |
---|
904 | rDelete(r); |
---|
905 | return; |
---|
906 | } |
---|
907 | r->ref--; |
---|
908 | } |
---|
909 | |
---|
910 | void rKill(idhdl h) |
---|
911 | { |
---|
912 | #ifndef HAVE_NAMESPACES1 |
---|
913 | ring r = IDRING(h); |
---|
914 | if (r!=NULL) rKill(r); |
---|
915 | if (h==currRingHdl) |
---|
916 | { |
---|
917 | #ifdef HAVE_NAMESPACES |
---|
918 | namehdl nsHdl = namespaceroot; |
---|
919 | while(nsHdl!=NULL) { |
---|
920 | currRingHdl=NSROOT(nsHdl); |
---|
921 | #else /* HAVE_NAMESPACES */ |
---|
922 | currRingHdl=IDROOT; |
---|
923 | #endif /* HAVE_NAMESPACES */ |
---|
924 | while (currRingHdl!=NULL) |
---|
925 | { |
---|
926 | if ((currRingHdl!=h) |
---|
927 | && (IDTYP(currRingHdl)==IDTYP(h)) |
---|
928 | && (h->data.uring==currRingHdl->data.uring)) |
---|
929 | break; |
---|
930 | currRingHdl=IDNEXT(currRingHdl); |
---|
931 | } |
---|
932 | #ifdef HAVE_NAMESPACES |
---|
933 | if ((currRingHdl != NULL) && (currRingHdl!=h) |
---|
934 | && (IDTYP(currRingHdl)==IDTYP(h)) |
---|
935 | && (h->data.uring==currRingHdl->data.uring)) |
---|
936 | break; |
---|
937 | nsHdl = nsHdl->next; |
---|
938 | } |
---|
939 | #endif /* HAVE_NAMESPACES */ |
---|
940 | } |
---|
941 | #else |
---|
942 | if(currRingHdl==NULL) |
---|
943 | { |
---|
944 | namehdl ns = namespaceroot; |
---|
945 | BOOLEAN found=FALSE; |
---|
946 | |
---|
947 | while(!ns->isroot) |
---|
948 | { |
---|
949 | currRingHdl=NSROOT(namespaceroot->next); |
---|
950 | while (currRingHdl!=NULL) |
---|
951 | { |
---|
952 | if ((currRingHdl!=h) |
---|
953 | && (IDTYP(currRingHdl)==IDTYP(h)) |
---|
954 | && (h->data.uring==currRingHdl->data.uring)) |
---|
955 | { found=TRUE; break; } |
---|
956 | |
---|
957 | currRingHdl=IDNEXT(currRingHdl); |
---|
958 | } |
---|
959 | if(found) break; |
---|
960 | ns=IDNEXT(ns); |
---|
961 | } |
---|
962 | } |
---|
963 | if(currRingHdl == NULL || IDRING(h) != IDRING(currRingHdl)) |
---|
964 | { |
---|
965 | currRingHdl = namespaceroot->currRingHdl; |
---|
966 | |
---|
967 | /* PrintS("Running rFind()\n"); |
---|
968 | currRingHdl = rFindHdl(IDRING(h), NULL, NULL); |
---|
969 | if(currRingHdl == NULL) |
---|
970 | { |
---|
971 | PrintS("rFind()return 0\n"); |
---|
972 | } |
---|
973 | else |
---|
974 | { |
---|
975 | PrintS("Huppi rfind return an currRingHDL\n"); |
---|
976 | Print("%x, %x\n", IDRING(h),IDRING(currRingHdl) ); |
---|
977 | } |
---|
978 | */ |
---|
979 | } |
---|
980 | else |
---|
981 | { |
---|
982 | //PrintS("Huppi found an currRingHDL\n"); |
---|
983 | //Print("%x, %x\n", IDRING(h),IDRING(currRingHdl) ); |
---|
984 | |
---|
985 | } |
---|
986 | #endif /* HAVE_NAMESPACES */ |
---|
987 | } |
---|
988 | |
---|
989 | idhdl rFindHdl(ring r, idhdl n, idhdl w) |
---|
990 | { |
---|
991 | #ifdef HAVE_NAMESPACES |
---|
992 | idhdl h; |
---|
993 | namehdl ns = namespaceroot; |
---|
994 | |
---|
995 | while(!ns->isroot) { |
---|
996 | h = NSROOT(ns); |
---|
997 | if(w != NULL) h = w; |
---|
998 | while (h!=NULL) |
---|
999 | { |
---|
1000 | if (((IDTYP(h)==RING_CMD)||(IDTYP(h)==QRING_CMD)) |
---|
1001 | && (h->data.uring==r) |
---|
1002 | && (h!=n)) |
---|
1003 | return h; |
---|
1004 | h=IDNEXT(h); |
---|
1005 | } |
---|
1006 | ns = ns->next; |
---|
1007 | } |
---|
1008 | h = NSROOT(ns); |
---|
1009 | if(w != NULL) h = w; |
---|
1010 | while (h!=NULL) |
---|
1011 | { |
---|
1012 | if (((IDTYP(h)==RING_CMD)||(IDTYP(h)==QRING_CMD)) |
---|
1013 | && (h->data.uring==r) |
---|
1014 | && (h!=n)) |
---|
1015 | return h; |
---|
1016 | h=IDNEXT(h); |
---|
1017 | } |
---|
1018 | #if 0 |
---|
1019 | if(namespaceroot->isroot) h = IDROOT; |
---|
1020 | else h = NSROOT(namespaceroot->next); |
---|
1021 | if(w != NULL) h = w; |
---|
1022 | while (h!=NULL) |
---|
1023 | { |
---|
1024 | if (((IDTYP(h)==RING_CMD)||(IDTYP(h)==QRING_CMD)) |
---|
1025 | && (h->data.uring==r) |
---|
1026 | && (h!=n)) |
---|
1027 | return h; |
---|
1028 | h=IDNEXT(h); |
---|
1029 | } |
---|
1030 | #endif |
---|
1031 | #else |
---|
1032 | idhdl h=IDROOT; |
---|
1033 | if(w != NULL) h = w; |
---|
1034 | while (h!=NULL) |
---|
1035 | { |
---|
1036 | if (((IDTYP(h)==RING_CMD)||(IDTYP(h)==QRING_CMD)) |
---|
1037 | && (h->data.uring==r) |
---|
1038 | && (h!=n)) |
---|
1039 | return h; |
---|
1040 | h=IDNEXT(h); |
---|
1041 | } |
---|
1042 | #endif |
---|
1043 | return NULL; |
---|
1044 | } |
---|
1045 | |
---|
1046 | int rOrderName(char * ordername) |
---|
1047 | { |
---|
1048 | int order=0; |
---|
1049 | |
---|
1050 | switch (*ordername) |
---|
1051 | { |
---|
1052 | case 'l': |
---|
1053 | if (*(ordername+1)=='p') order = ringorder_lp; |
---|
1054 | else if (*(ordername+1)=='s') order = ringorder_ls; |
---|
1055 | break; |
---|
1056 | case 'd': |
---|
1057 | if (*(ordername+1)=='p') order = ringorder_dp; |
---|
1058 | else if (*(ordername+1)=='s') order = ringorder_ds; |
---|
1059 | break; |
---|
1060 | case 'w': |
---|
1061 | if (*(ordername+1)=='p') order = ringorder_wp; |
---|
1062 | else if (*(ordername+1)=='s') order = ringorder_ws; |
---|
1063 | break; |
---|
1064 | case 'D': |
---|
1065 | if (*(ordername+1)=='p') order = ringorder_Dp; |
---|
1066 | else if (*(ordername+1)=='s') order = ringorder_Ds; |
---|
1067 | break; |
---|
1068 | case 'W': |
---|
1069 | if (*(ordername+1)=='p') order = ringorder_Wp; |
---|
1070 | else if (*(ordername+1)=='s') order = ringorder_Ws; |
---|
1071 | break; |
---|
1072 | case 'c': order = ringorder_c; break; |
---|
1073 | case 'C': order = ringorder_C; break; |
---|
1074 | case 'a': order = ringorder_a; break; |
---|
1075 | case 'S': order = ringorder_S; break; |
---|
1076 | case 'M': order = ringorder_M; break; |
---|
1077 | #ifdef HAVE_SHIFTED_EXPONENTS |
---|
1078 | case 'L': order = ringorder_L; break; |
---|
1079 | #endif |
---|
1080 | default: break; |
---|
1081 | } |
---|
1082 | if (order==0) Werror("wrong ring order `%s`",ordername); |
---|
1083 | FreeL((ADDRESS)ordername); |
---|
1084 | return order; |
---|
1085 | } |
---|
1086 | |
---|
1087 | char * rOrdStr(ring r) |
---|
1088 | { |
---|
1089 | int nblocks,l,i; |
---|
1090 | |
---|
1091 | for (nblocks=0; r->order[nblocks]; nblocks++); |
---|
1092 | nblocks--; |
---|
1093 | |
---|
1094 | StringSetS(""); |
---|
1095 | for (l=0; ; l++) |
---|
1096 | { |
---|
1097 | StringAppend("%c",(" acCMSldDwWldDwW")[r->order[l]]); |
---|
1098 | if (r->order[l]>=ringorder_lp) |
---|
1099 | { |
---|
1100 | if (r->order[l]>=ringorder_ls) |
---|
1101 | StringAppendS("s"); |
---|
1102 | else |
---|
1103 | StringAppendS("p"); |
---|
1104 | } |
---|
1105 | if ((r->order[l] != ringorder_c) && (r->order[l] != ringorder_C)) |
---|
1106 | { |
---|
1107 | if (r->wvhdl[l]!=NULL) |
---|
1108 | { |
---|
1109 | StringAppendS("("); |
---|
1110 | for (int j= 0; |
---|
1111 | j<(r->block1[l]-r->block0[l]+1)*(r->block1[l]-r->block0[l]+1); |
---|
1112 | j+=i+1) |
---|
1113 | { |
---|
1114 | char c=','; |
---|
1115 | for (i = 0; i<r->block1[l]-r->block0[l]; i++) |
---|
1116 | { |
---|
1117 | StringAppend("%d," ,r->wvhdl[l][i+j]); |
---|
1118 | } |
---|
1119 | if (r->order[l]!=ringorder_M) |
---|
1120 | { |
---|
1121 | StringAppend("%d)" ,r->wvhdl[l][i+j]); |
---|
1122 | break; |
---|
1123 | } |
---|
1124 | if (j+i+1==(r->block1[l]-r->block0[l]+1)*(r->block1[l]-r->block0[l]+1)) |
---|
1125 | c=')'; |
---|
1126 | StringAppend("%d%c" ,r->wvhdl[l][i+j],c); |
---|
1127 | } |
---|
1128 | } |
---|
1129 | else |
---|
1130 | StringAppend("(%d)",r->block1[l]-r->block0[l]+1); |
---|
1131 | } |
---|
1132 | if (l==nblocks) return mstrdup(StringAppendS("")); |
---|
1133 | StringAppendS(","); |
---|
1134 | } |
---|
1135 | } |
---|
1136 | |
---|
1137 | char * rVarStr(ring r) |
---|
1138 | { |
---|
1139 | int i; |
---|
1140 | int l=2; |
---|
1141 | char *s; |
---|
1142 | |
---|
1143 | for (i=0; i<r->N; i++) |
---|
1144 | { |
---|
1145 | l+=strlen(r->names[i])+1; |
---|
1146 | } |
---|
1147 | s=(char *)AllocL(l); |
---|
1148 | s[0]='\0'; |
---|
1149 | for (i=0; i<r->N-1; i++) |
---|
1150 | { |
---|
1151 | strcat(s,r->names[i]); |
---|
1152 | strcat(s,","); |
---|
1153 | } |
---|
1154 | strcat(s,r->names[i]); |
---|
1155 | return s; |
---|
1156 | } |
---|
1157 | |
---|
1158 | char * rCharStr(ring r) |
---|
1159 | { |
---|
1160 | char *s; |
---|
1161 | int i; |
---|
1162 | |
---|
1163 | if (r->parameter==NULL) |
---|
1164 | { |
---|
1165 | i=r->ch; |
---|
1166 | if(i==-1) |
---|
1167 | s=mstrdup("real"); /* R */ |
---|
1168 | else |
---|
1169 | { |
---|
1170 | s=(char *)AllocL(6); |
---|
1171 | sprintf(s,"%d",i); /* Q, Z/p */ |
---|
1172 | } |
---|
1173 | return s; |
---|
1174 | } |
---|
1175 | int l=0; |
---|
1176 | for(i=0; i<rPar(r);i++) |
---|
1177 | { |
---|
1178 | l+=(strlen(r->parameter[i])+1); |
---|
1179 | } |
---|
1180 | s=(char *)AllocL(l+6); |
---|
1181 | s[0]='\0'; |
---|
1182 | if (r->ch<0) sprintf(s,"%d",-r->ch); /* Fp(a) */ |
---|
1183 | else if (r->ch==1) sprintf(s,"0"); /* Q(a) */ |
---|
1184 | else |
---|
1185 | { |
---|
1186 | sprintf(s,"%d,%s",r->ch,r->parameter[0]); /* Fq */ |
---|
1187 | return s; |
---|
1188 | } |
---|
1189 | char tt[2]; |
---|
1190 | tt[0]=','; |
---|
1191 | tt[1]='\0'; |
---|
1192 | for(i=0; i<rPar(r);i++) |
---|
1193 | { |
---|
1194 | strcat(s,tt); |
---|
1195 | strcat(s,r->parameter[i]); |
---|
1196 | } |
---|
1197 | return s; |
---|
1198 | } |
---|
1199 | |
---|
1200 | char * rParStr(ring r) |
---|
1201 | { |
---|
1202 | if (r->parameter==NULL) return mstrdup(""); |
---|
1203 | |
---|
1204 | int i; |
---|
1205 | int l=2; |
---|
1206 | |
---|
1207 | for (i=0; i<rPar(r); i++) |
---|
1208 | { |
---|
1209 | l+=strlen(r->parameter[i])+1; |
---|
1210 | } |
---|
1211 | char *s=(char *)AllocL(l); |
---|
1212 | s[0]='\0'; |
---|
1213 | for (i=0; i<rPar(r)-1; i++) |
---|
1214 | { |
---|
1215 | strcat(s,r->parameter[i]); |
---|
1216 | strcat(s,","); |
---|
1217 | } |
---|
1218 | strcat(s,r->parameter[i]); |
---|
1219 | return s; |
---|
1220 | } |
---|
1221 | |
---|
1222 | char * rString(ring r) |
---|
1223 | { |
---|
1224 | char *ch=rCharStr(r); |
---|
1225 | char *var=rVarStr(r); |
---|
1226 | char *ord=rOrdStr(r); |
---|
1227 | char *res=(char *)AllocL(strlen(ch)+strlen(var)+strlen(ord)+9); |
---|
1228 | sprintf(res,"(%s),(%s),(%s)",ch,var,ord); |
---|
1229 | FreeL((ADDRESS)ch); |
---|
1230 | FreeL((ADDRESS)var); |
---|
1231 | FreeL((ADDRESS)ord); |
---|
1232 | return res; |
---|
1233 | } |
---|
1234 | |
---|
1235 | int rChar(ring r) |
---|
1236 | { |
---|
1237 | if (r->ch==-1) |
---|
1238 | return 0; |
---|
1239 | if (r->parameter==NULL) /* Q, Fp */ |
---|
1240 | return r->ch; |
---|
1241 | if (r->ch<0) /* Fp(a) */ |
---|
1242 | return -r->ch; |
---|
1243 | if (r->ch==1) /* Q(a) */ |
---|
1244 | return 0; |
---|
1245 | /*else*/ /* GF(p,n) */ |
---|
1246 | { |
---|
1247 | if ((r->ch & 1)==0) return 2; |
---|
1248 | int i=3; |
---|
1249 | while ((r->ch % i)!=0) i+=2; |
---|
1250 | return i; |
---|
1251 | } |
---|
1252 | } |
---|
1253 | |
---|
1254 | int rIsExtension(ring r) |
---|
1255 | { |
---|
1256 | if (r->parameter==NULL) /* Q, Fp */ |
---|
1257 | return FALSE; |
---|
1258 | else |
---|
1259 | return TRUE; |
---|
1260 | } |
---|
1261 | |
---|
1262 | int rIsExtension() |
---|
1263 | { |
---|
1264 | return rIsExtension( currRing ); |
---|
1265 | } |
---|
1266 | |
---|
1267 | /*2 |
---|
1268 | *returns -1 for not compatible, (sum is undefined) |
---|
1269 | * 0 for equal, (and sum) |
---|
1270 | * 1 for compatible (and sum) |
---|
1271 | */ |
---|
1272 | int rSum(ring r1, ring r2, ring &sum) |
---|
1273 | { |
---|
1274 | if (r1==r2) |
---|
1275 | { |
---|
1276 | sum=r1; |
---|
1277 | r1->ref++; |
---|
1278 | return 0; |
---|
1279 | } |
---|
1280 | ip_sring tmpR; |
---|
1281 | memset(&tmpR,0,sizeof(tmpR)); |
---|
1282 | /* check coeff. field =====================================================*/ |
---|
1283 | if (rInternalChar(r1)==rInternalChar(r2)) |
---|
1284 | { |
---|
1285 | tmpR.ch=rInternalChar(r1); |
---|
1286 | if (rField_is_Q(r1)||rField_is_Zp(r1)||rField_is_GF(r1)) /*Q, Z/p, GF(p,n)*/ |
---|
1287 | { |
---|
1288 | if (r1->parameter!=NULL) |
---|
1289 | { |
---|
1290 | if (strcmp(r1->parameter[0],r2->parameter[0])==0) /* 1 char */ |
---|
1291 | { |
---|
1292 | tmpR.parameter=(char **)Alloc(sizeof(char *)); |
---|
1293 | tmpR.parameter[0]=mstrdup(r1->parameter[0]); |
---|
1294 | tmpR.P=1; |
---|
1295 | } |
---|
1296 | else |
---|
1297 | { |
---|
1298 | WerrorS("GF(p,n)+GF(p,n)"); |
---|
1299 | return -1; |
---|
1300 | } |
---|
1301 | } |
---|
1302 | } |
---|
1303 | else if ((r1->ch==1)||(r1->ch<-1)) /* Q(a),Z/p(a) */ |
---|
1304 | { |
---|
1305 | if (r1->minpoly!=NULL) |
---|
1306 | { |
---|
1307 | if (r2->minpoly!=NULL) |
---|
1308 | { |
---|
1309 | nSetChar(r1,TRUE); |
---|
1310 | if ((strcmp(r1->parameter[0],r2->parameter[0])==0) /* 1 char */ |
---|
1311 | && naEqual(r1->minpoly,r2->minpoly)) |
---|
1312 | { |
---|
1313 | tmpR.parameter=(char **)Alloc(sizeof(char *)); |
---|
1314 | tmpR.parameter[0]=mstrdup(r1->parameter[0]); |
---|
1315 | tmpR.minpoly=naCopy(r1->minpoly); |
---|
1316 | tmpR.P=1; |
---|
1317 | nSetChar(currRing,TRUE); |
---|
1318 | } |
---|
1319 | else |
---|
1320 | { |
---|
1321 | nSetChar(currRing,TRUE); |
---|
1322 | WerrorS("different minpolys"); |
---|
1323 | return -1; |
---|
1324 | } |
---|
1325 | } |
---|
1326 | else |
---|
1327 | { |
---|
1328 | if ((strcmp(r1->parameter[0],r2->parameter[0])==0) /* 1 char */ |
---|
1329 | && (rPar(r2)==1)) |
---|
1330 | { |
---|
1331 | tmpR.parameter=(char **)Alloc0(sizeof(char *)); |
---|
1332 | tmpR.parameter[0]=mstrdup(r1->parameter[0]); |
---|
1333 | tmpR.P=1; |
---|
1334 | nSetChar(r1,TRUE); |
---|
1335 | tmpR.minpoly=naCopy(r1->minpoly); |
---|
1336 | nSetChar(currRing,TRUE); |
---|
1337 | } |
---|
1338 | else |
---|
1339 | { |
---|
1340 | WerrorS("different parameters and minpoly!=0"); |
---|
1341 | return -1; |
---|
1342 | } |
---|
1343 | } |
---|
1344 | } |
---|
1345 | else /* r1->minpoly==NULL */ |
---|
1346 | { |
---|
1347 | if (r2->minpoly!=NULL) |
---|
1348 | { |
---|
1349 | if ((strcmp(r1->parameter[0],r2->parameter[0])==0) /* 1 char */ |
---|
1350 | && (rPar(r1)==1)) |
---|
1351 | { |
---|
1352 | tmpR.parameter=(char **)Alloc(sizeof(char *)); |
---|
1353 | tmpR.parameter[0]=mstrdup(r1->parameter[0]); |
---|
1354 | tmpR.P=1; |
---|
1355 | nSetChar(r2,TRUE); |
---|
1356 | tmpR.minpoly=naCopy(r2->minpoly); |
---|
1357 | nSetChar(currRing,TRUE); |
---|
1358 | } |
---|
1359 | else |
---|
1360 | { |
---|
1361 | WerrorS("different parameters and minpoly!=0"); |
---|
1362 | return -1; |
---|
1363 | } |
---|
1364 | } |
---|
1365 | else |
---|
1366 | { |
---|
1367 | int len=rPar(r1)+rPar(r2); |
---|
1368 | tmpR.parameter=(char **)Alloc(len*sizeof(char *)); |
---|
1369 | int i; |
---|
1370 | for (i=0;i<rPar(r1);i++) |
---|
1371 | { |
---|
1372 | tmpR.parameter[i]=mstrdup(r1->parameter[i]); |
---|
1373 | } |
---|
1374 | int j,l; |
---|
1375 | for(j=0;j<rPar(r2);j++) |
---|
1376 | { |
---|
1377 | for(l=0;l<i;l++) |
---|
1378 | { |
---|
1379 | if(strcmp(tmpR.parameter[l],r2->parameter[j])==0) |
---|
1380 | break; |
---|
1381 | } |
---|
1382 | if (l==i) |
---|
1383 | { |
---|
1384 | tmpR.parameter[i]=mstrdup(r2->parameter[j]); |
---|
1385 | i++; |
---|
1386 | } |
---|
1387 | } |
---|
1388 | if (i!=len) |
---|
1389 | { |
---|
1390 | ReAlloc(tmpR.parameter,len*sizeof(char *),i*sizeof(char *)); |
---|
1391 | } |
---|
1392 | } |
---|
1393 | } |
---|
1394 | } |
---|
1395 | } |
---|
1396 | else /* r1->ch!=r2->ch */ |
---|
1397 | { |
---|
1398 | if (r1->ch<-1) /* Z/p(a) */ |
---|
1399 | { |
---|
1400 | if ((r2->ch==0) /* Q */ |
---|
1401 | || (r2->ch==-r1->ch)) /* Z/p */ |
---|
1402 | { |
---|
1403 | tmpR.ch=rInternalChar(r1); |
---|
1404 | tmpR.parameter=(char **)Alloc(rPar(r1)*sizeof(char *)); |
---|
1405 | tmpR.P=rPar(r1); |
---|
1406 | memcpy(tmpR.parameter,r1->parameter,rPar(r1)*sizeof(char *)); |
---|
1407 | if (r1->minpoly!=NULL) |
---|
1408 | { |
---|
1409 | nSetChar(r1,TRUE); |
---|
1410 | tmpR.minpoly=naCopy(r1->minpoly); |
---|
1411 | nSetChar(currRing,TRUE); |
---|
1412 | } |
---|
1413 | } |
---|
1414 | else /* R, Q(a),Z/q,Z/p(a),GF(p,n) */ |
---|
1415 | { |
---|
1416 | WerrorS("Z/p(a)+(R,Q(a),Z/q(a),GF(q,n))"); |
---|
1417 | return -1; |
---|
1418 | } |
---|
1419 | } |
---|
1420 | else if (r1->ch==-1) /* R */ |
---|
1421 | { |
---|
1422 | WerrorS("R+.."); |
---|
1423 | return -1; |
---|
1424 | } |
---|
1425 | else if (r1->ch==0) /* Q */ |
---|
1426 | { |
---|
1427 | if ((r2->ch<-1)||(r2->ch==1)) /* Z/p(a),Q(a) */ |
---|
1428 | { |
---|
1429 | tmpR.ch=rInternalChar(r2); |
---|
1430 | tmpR.P=rPar(r2); |
---|
1431 | tmpR.parameter=(char **)Alloc(rPar(r2)*sizeof(char *)); |
---|
1432 | memcpy(tmpR.parameter,r2->parameter,rPar(r2)*sizeof(char *)); |
---|
1433 | if (r2->minpoly!=NULL) |
---|
1434 | { |
---|
1435 | nSetChar(r1,TRUE); |
---|
1436 | tmpR.minpoly=naCopy(r2->minpoly); |
---|
1437 | nSetChar(currRing,TRUE); |
---|
1438 | } |
---|
1439 | } |
---|
1440 | else if (r2->ch>1) /* Z/p,GF(p,n) */ |
---|
1441 | { |
---|
1442 | tmpR.ch=r2->ch; |
---|
1443 | if (r2->parameter!=NULL) |
---|
1444 | { |
---|
1445 | tmpR.parameter=(char **)Alloc(sizeof(char *)); |
---|
1446 | tmpR.P=1; |
---|
1447 | tmpR.parameter[0]=mstrdup(r2->parameter[0]); |
---|
1448 | } |
---|
1449 | } |
---|
1450 | else |
---|
1451 | { |
---|
1452 | WerrorS("Q+R"); |
---|
1453 | return -1; /* R */ |
---|
1454 | } |
---|
1455 | } |
---|
1456 | else if (r1->ch==1) /* Q(a) */ |
---|
1457 | { |
---|
1458 | if (r2->ch==0) /* Q */ |
---|
1459 | { |
---|
1460 | tmpR.ch=rInternalChar(r1); |
---|
1461 | tmpR.P=rPar(r1); |
---|
1462 | tmpR.parameter=(char **)Alloc0(rPar(r1)*sizeof(char *)); |
---|
1463 | int i; |
---|
1464 | for(i=0;i<rPar(r1);i++) |
---|
1465 | { |
---|
1466 | tmpR.parameter[i]=mstrdup(r1->parameter[i]); |
---|
1467 | } |
---|
1468 | if (r1->minpoly!=NULL) |
---|
1469 | { |
---|
1470 | nSetChar(r1,TRUE); |
---|
1471 | tmpR.minpoly=naCopy(r1->minpoly); |
---|
1472 | nSetChar(currRing,TRUE); |
---|
1473 | } |
---|
1474 | } |
---|
1475 | else /* R, Z/p,GF(p,n) */ |
---|
1476 | { |
---|
1477 | WerrorS("Q(a)+(R,Z/p,GF(p,n))"); |
---|
1478 | return -1; |
---|
1479 | } |
---|
1480 | } |
---|
1481 | else /* r1->ch >=2 , Z/p */ |
---|
1482 | { |
---|
1483 | if (r2->ch==0) /* Q */ |
---|
1484 | { |
---|
1485 | tmpR.ch=r1->ch; |
---|
1486 | } |
---|
1487 | else if (r2->ch==-r1->ch) /* Z/p(a) */ |
---|
1488 | { |
---|
1489 | tmpR.ch=rInternalChar(r2); |
---|
1490 | tmpR.P=rPar(r2); |
---|
1491 | tmpR.parameter=(char **)Alloc(rPar(r2)*sizeof(char *)); |
---|
1492 | int i; |
---|
1493 | for(i=0;i<rPar(r2);i++) |
---|
1494 | { |
---|
1495 | tmpR.parameter[i]=mstrdup(r2->parameter[i]); |
---|
1496 | } |
---|
1497 | if (r2->minpoly!=NULL) |
---|
1498 | { |
---|
1499 | nSetChar(r2,TRUE); |
---|
1500 | tmpR.minpoly=naCopy(r2->minpoly); |
---|
1501 | nSetChar(currRing,TRUE); |
---|
1502 | } |
---|
1503 | } |
---|
1504 | else |
---|
1505 | { |
---|
1506 | WerrorS("Z/p+(GF(q,n),Z/q(a),R,Q(a))"); |
---|
1507 | return -1; /* GF(p,n),Z/q(a),R,Q(a) */ |
---|
1508 | } |
---|
1509 | } |
---|
1510 | } |
---|
1511 | /* variable names ========================================================*/ |
---|
1512 | int i,j,k; |
---|
1513 | int l=r1->N+r2->N; |
---|
1514 | char **names=(char **)Alloc0(l*sizeof(char*)); |
---|
1515 | k=0; |
---|
1516 | |
---|
1517 | // collect all varnames from r1, except those which are parameters |
---|
1518 | // of r2, or those which are the empty string |
---|
1519 | for (i=0;i<r1->N;i++) |
---|
1520 | { |
---|
1521 | BOOLEAN b=TRUE; |
---|
1522 | |
---|
1523 | if (*(r1->names[i]) == '\0') |
---|
1524 | b = FALSE; |
---|
1525 | else if ((r2->parameter!=NULL) && (strlen(r1->names[i])==1)) |
---|
1526 | { |
---|
1527 | for(j=0;j<rPar(r2);j++) |
---|
1528 | { |
---|
1529 | if (strcmp(r1->names[i],r2->parameter[j])==0) |
---|
1530 | { |
---|
1531 | b=FALSE; |
---|
1532 | break; |
---|
1533 | } |
---|
1534 | } |
---|
1535 | } |
---|
1536 | |
---|
1537 | if (b) |
---|
1538 | { |
---|
1539 | //Print("name : %d: %s\n",k,r1->names[i]); |
---|
1540 | names[k]=mstrdup(r1->names[i]); |
---|
1541 | k++; |
---|
1542 | } |
---|
1543 | //else |
---|
1544 | // Print("no name (par1) %s\n",r1->names[i]); |
---|
1545 | } |
---|
1546 | // Add variables from r2, except those which are parameters of r1 |
---|
1547 | // those which are empty strings, and those which equal a var of r1 |
---|
1548 | for(i=0;i<r2->N;i++) |
---|
1549 | { |
---|
1550 | BOOLEAN b=TRUE; |
---|
1551 | |
---|
1552 | if (*(r2->names[i]) == '\0') |
---|
1553 | b = FALSE; |
---|
1554 | else if ((r1->parameter!=NULL) && (strlen(r2->names[i])==1)) |
---|
1555 | { |
---|
1556 | for(j=0;j<rPar(r1);j++) |
---|
1557 | { |
---|
1558 | if (strcmp(r2->names[i],r1->parameter[j])==0) |
---|
1559 | { |
---|
1560 | b=FALSE; |
---|
1561 | break; |
---|
1562 | } |
---|
1563 | } |
---|
1564 | } |
---|
1565 | |
---|
1566 | if (b) |
---|
1567 | { |
---|
1568 | for(j=0;j<r1->N;j++) |
---|
1569 | { |
---|
1570 | if (strcmp(r1->names[j],r2->names[i])==0) |
---|
1571 | { |
---|
1572 | b=FALSE; |
---|
1573 | break; |
---|
1574 | } |
---|
1575 | } |
---|
1576 | if (b) |
---|
1577 | { |
---|
1578 | names[k]=mstrdup(r2->names[i]); |
---|
1579 | //Print("name : %d : %s\n",k,r2->names[i]); |
---|
1580 | k++; |
---|
1581 | } |
---|
1582 | //else |
---|
1583 | // Print("no name (var): %s\n",r2->names[i]); |
---|
1584 | } |
---|
1585 | //else |
---|
1586 | // Print("no name (par): %s\n",r2->names[i]); |
---|
1587 | } |
---|
1588 | // check whether we found any vars at all |
---|
1589 | if (k == 0) |
---|
1590 | { |
---|
1591 | names[k]=mstrdup(""); |
---|
1592 | k=1; |
---|
1593 | } |
---|
1594 | tmpR.N=k; |
---|
1595 | tmpR.names=names; |
---|
1596 | /* ordering *======================================================== */ |
---|
1597 | tmpR.OrdSgn=1; |
---|
1598 | if ((r1->order[0]==ringorder_unspec) |
---|
1599 | && (r2->order[0]==ringorder_unspec)) |
---|
1600 | { |
---|
1601 | tmpR.order=(int*)Alloc(3*sizeof(int)); |
---|
1602 | tmpR.block0=(int*)Alloc(3*sizeof(int)); |
---|
1603 | tmpR.block1=(int*)Alloc(3*sizeof(int)); |
---|
1604 | tmpR.wvhdl=(int**)Alloc0(3*sizeof(int*)); |
---|
1605 | tmpR.order[0]=ringorder_unspec; |
---|
1606 | tmpR.order[1]=ringorder_C; |
---|
1607 | tmpR.order[2]=0; |
---|
1608 | tmpR.block0[0]=1; |
---|
1609 | tmpR.block1[0]=tmpR.N; |
---|
1610 | } |
---|
1611 | else if (l==k) /* r3=r1+r2 */ |
---|
1612 | { |
---|
1613 | int b; |
---|
1614 | ring rb; |
---|
1615 | if (r1->order[0]==ringorder_unspec) |
---|
1616 | { |
---|
1617 | /* extend order of r2 to r3 */ |
---|
1618 | b=rBlocks(r2); |
---|
1619 | rb=r2; |
---|
1620 | tmpR.OrdSgn=r2->OrdSgn; |
---|
1621 | } |
---|
1622 | else if (r2->order[0]==ringorder_unspec) |
---|
1623 | { |
---|
1624 | /* extend order of r1 to r3 */ |
---|
1625 | b=rBlocks(r1); |
---|
1626 | rb=r1; |
---|
1627 | tmpR.OrdSgn=r1->OrdSgn; |
---|
1628 | } |
---|
1629 | else |
---|
1630 | { |
---|
1631 | b=rBlocks(r1)+rBlocks(r2)-2; /* for only one order C, only one 0 */ |
---|
1632 | rb=NULL; |
---|
1633 | } |
---|
1634 | tmpR.order=(int*)Alloc0(b*sizeof(int)); |
---|
1635 | tmpR.block0=(int*)Alloc0(b*sizeof(int)); |
---|
1636 | tmpR.block1=(int*)Alloc0(b*sizeof(int)); |
---|
1637 | tmpR.wvhdl=(int**)Alloc0(b*sizeof(int*)); |
---|
1638 | /* weights not implemented yet ...*/ |
---|
1639 | if (rb!=NULL) |
---|
1640 | { |
---|
1641 | for (i=0;i<b;i++) |
---|
1642 | { |
---|
1643 | tmpR.order[i]=rb->order[i]; |
---|
1644 | tmpR.block0[i]=rb->block0[i]; |
---|
1645 | tmpR.block1[i]=rb->block1[i]; |
---|
1646 | if (rb->wvhdl[i]!=NULL) |
---|
1647 | WarnS("rSum: weights not implemented"); |
---|
1648 | } |
---|
1649 | tmpR.block0[0]=1; |
---|
1650 | } |
---|
1651 | else /* ring sum for complete rings */ |
---|
1652 | { |
---|
1653 | for (i=0;r1->order[i]!=0;i++) |
---|
1654 | { |
---|
1655 | tmpR.order[i]=r1->order[i]; |
---|
1656 | tmpR.block0[i]=r1->block0[i]; |
---|
1657 | tmpR.block1[i]=r1->block1[i]; |
---|
1658 | if (r1->wvhdl[i]!=NULL) |
---|
1659 | { |
---|
1660 | int l=mmSizeL(r1->wvhdl[i]); |
---|
1661 | tmpR.wvhdl[i]=(int *)AllocL(l); |
---|
1662 | memcpy(tmpR.wvhdl[i],r1->wvhdl[i],l); |
---|
1663 | } |
---|
1664 | } |
---|
1665 | j=i; |
---|
1666 | i--; |
---|
1667 | if ((r1->order[i]==ringorder_c) |
---|
1668 | ||(r1->order[i]==ringorder_C)) |
---|
1669 | { |
---|
1670 | j--; |
---|
1671 | tmpR.order[b-2]=r1->order[i]; |
---|
1672 | } |
---|
1673 | for (i=0;r2->order[i]!=0;i++,j++) |
---|
1674 | { |
---|
1675 | if ((r2->order[i]!=ringorder_c) |
---|
1676 | &&(r2->order[i]!=ringorder_C)) |
---|
1677 | { |
---|
1678 | tmpR.order[j]=r2->order[i]; |
---|
1679 | tmpR.block0[j]=r2->block0[i]+r1->N; |
---|
1680 | tmpR.block1[j]=r2->block1[i]+r1->N; |
---|
1681 | if (r2->wvhdl[i]!=NULL) |
---|
1682 | { |
---|
1683 | int l=mmSizeL(r2->wvhdl[i]); |
---|
1684 | tmpR.wvhdl[j]=(int *)AllocL(l); |
---|
1685 | memcpy(tmpR.wvhdl[j],r2->wvhdl[i],l); |
---|
1686 | } |
---|
1687 | } |
---|
1688 | } |
---|
1689 | if((r1->OrdSgn==-1)||(r2->OrdSgn==-1)) |
---|
1690 | tmpR.OrdSgn=-1; |
---|
1691 | } |
---|
1692 | } |
---|
1693 | else if ((k==r1->N) && (k==r2->N)) /* r1 and r2 are "quite" the same ring */ |
---|
1694 | /* copy r1, because we have the variables from r1 */ |
---|
1695 | { |
---|
1696 | int b=rBlocks(r1); |
---|
1697 | |
---|
1698 | tmpR.order=(int*)Alloc0(b*sizeof(int)); |
---|
1699 | tmpR.block0=(int*)Alloc0(b*sizeof(int)); |
---|
1700 | tmpR.block1=(int*)Alloc0(b*sizeof(int)); |
---|
1701 | tmpR.wvhdl=(int**)Alloc0(b*sizeof(int*)); |
---|
1702 | /* weights not implemented yet ...*/ |
---|
1703 | for (i=0;i<b;i++) |
---|
1704 | { |
---|
1705 | tmpR.order[i]=r1->order[i]; |
---|
1706 | tmpR.block0[i]=r1->block0[i]; |
---|
1707 | tmpR.block1[i]=r1->block1[i]; |
---|
1708 | if (r1->wvhdl[i]!=NULL) |
---|
1709 | { |
---|
1710 | int l=mmSizeL(r1->wvhdl[i]); |
---|
1711 | tmpR.wvhdl[i]=(int *)AllocL(l); |
---|
1712 | memcpy(tmpR.wvhdl[i],r1->wvhdl[i],l); |
---|
1713 | } |
---|
1714 | } |
---|
1715 | tmpR.OrdSgn=r1->OrdSgn; |
---|
1716 | } |
---|
1717 | else |
---|
1718 | { |
---|
1719 | for(i=0;i<k;i++) FreeL((ADDRESS)tmpR.names[i]); |
---|
1720 | Free((ADDRESS)names,tmpR.N*sizeof(char *)); |
---|
1721 | Werror("difficulties with variables: %d,%d -> %d",r1->N,r2->N,k); |
---|
1722 | return -1; |
---|
1723 | } |
---|
1724 | sum=(ring)Alloc(sizeof(ip_sring)); |
---|
1725 | memcpy(sum,&tmpR,sizeof(ip_sring)); |
---|
1726 | rComplete(sum); |
---|
1727 | return 1; |
---|
1728 | } |
---|
1729 | |
---|
1730 | /*2 |
---|
1731 | * create a copy of the ring r, which must be equivalent to currRing |
---|
1732 | * used for qring definition,.. |
---|
1733 | * (i.e.: normal rings: same nCopy as currRing; |
---|
1734 | * qring: same nCopy, same idCopy as currRing) |
---|
1735 | */ |
---|
1736 | ring rCopy(ring r) |
---|
1737 | { |
---|
1738 | if (r == NULL) return NULL; |
---|
1739 | int i,j; |
---|
1740 | int *pi; |
---|
1741 | ring res=(ring)Alloc(sizeof(ip_sring)); |
---|
1742 | |
---|
1743 | memcpy4(res,r,sizeof(ip_sring)); |
---|
1744 | res->ref=0; |
---|
1745 | if (r->parameter!=NULL) |
---|
1746 | { |
---|
1747 | res->minpoly=nCopy(r->minpoly); |
---|
1748 | int l=rPar(r); |
---|
1749 | res->parameter=(char **)Alloc(l*sizeof(char *)); |
---|
1750 | int i; |
---|
1751 | for(i=0;i<rPar(r);i++) |
---|
1752 | { |
---|
1753 | res->parameter[i]=mstrdup(r->parameter[i]); |
---|
1754 | } |
---|
1755 | } |
---|
1756 | res->names = (char **)Alloc(r->N * sizeof(char *)); |
---|
1757 | i=1; |
---|
1758 | pi=r->order; |
---|
1759 | while ((*pi)!=0) { i++;pi++; } |
---|
1760 | res->wvhdl = (int **)Alloc(i * sizeof(int *)); |
---|
1761 | res->order = (int *) Alloc(i * sizeof(int)); |
---|
1762 | res->block0 = (int *) Alloc(i * sizeof(int)); |
---|
1763 | res->block1 = (int *) Alloc(i * sizeof(int)); |
---|
1764 | for (j=0; j<i; j++) |
---|
1765 | { |
---|
1766 | if (r->wvhdl[j]!=NULL) |
---|
1767 | { |
---|
1768 | res->wvhdl[j]=(int*)AllocL(mmSizeL((ADDRESS)r->wvhdl[j])); |
---|
1769 | memcpy(res->wvhdl[j],r->wvhdl[j],mmSizeL((ADDRESS)r->wvhdl[j])); |
---|
1770 | } |
---|
1771 | else |
---|
1772 | res->wvhdl[j]=NULL; |
---|
1773 | } |
---|
1774 | memcpy4(res->order,r->order,i * sizeof(int)); |
---|
1775 | memcpy4(res->block0,r->block0,i * sizeof(int)); |
---|
1776 | memcpy4(res->block1,r->block1,i * sizeof(int)); |
---|
1777 | for (i=0; i<res->N; i++) |
---|
1778 | { |
---|
1779 | res->names[i] = mstrdup(r->names[i]); |
---|
1780 | } |
---|
1781 | res->idroot = NULL; |
---|
1782 | if (r->qideal!=NULL) res->qideal= idCopy(r->qideal); |
---|
1783 | rComplete(res, 1); |
---|
1784 | return res; |
---|
1785 | } |
---|
1786 | |
---|
1787 | // returns TRUE, if r1 equals r2 FALSE, otherwise Equality is |
---|
1788 | // determined componentwise, if qr == 1, then qrideal equality is |
---|
1789 | // tested, as well |
---|
1790 | BOOLEAN rEqual(ring r1, ring r2, BOOLEAN qr) |
---|
1791 | { |
---|
1792 | int i, j; |
---|
1793 | |
---|
1794 | if (r1 == r2) return 1; |
---|
1795 | |
---|
1796 | if (r1 == NULL || r2 == NULL) return 0; |
---|
1797 | |
---|
1798 | if ((rInternalChar(r1) != rInternalChar(r2)) |
---|
1799 | || (r1->ch_flags != r2->ch_flags) |
---|
1800 | || (r1->N != r2->N) |
---|
1801 | || (r1->OrdSgn != r2->OrdSgn) |
---|
1802 | || (rPar(r1) != rPar(r2))) |
---|
1803 | return 0; |
---|
1804 | |
---|
1805 | for (i=0; i<r1->N; i++) |
---|
1806 | if (strcmp(r1->names[i], r2->names[i])) return 0; |
---|
1807 | |
---|
1808 | i=0; |
---|
1809 | while (r1->order[i] != 0) |
---|
1810 | { |
---|
1811 | if (r2->order[i] == 0) return 0; |
---|
1812 | if ((r1->order[i] != r2->order[i]) || |
---|
1813 | (r1->block0[i] != r2->block0[i]) || (r2->block0[i] != r1->block0[i])) |
---|
1814 | return 0; |
---|
1815 | if (r1->wvhdl[i] != NULL) |
---|
1816 | { |
---|
1817 | if (r2->wvhdl[i] == NULL) |
---|
1818 | return 0; |
---|
1819 | for (j=0; j<r1->block1[i]-r1->block0[i]+1; j++) |
---|
1820 | if (r2->wvhdl[i][j] != r1->wvhdl[i][j]) |
---|
1821 | return 0; |
---|
1822 | } |
---|
1823 | else if (r2->wvhdl[i] != NULL) return 0; |
---|
1824 | i++; |
---|
1825 | } |
---|
1826 | |
---|
1827 | for (i=0; i<rPar(r1);i++) |
---|
1828 | { |
---|
1829 | if (strcmp(r1->parameter[i], r2->parameter[i])!=0) |
---|
1830 | return 0; |
---|
1831 | } |
---|
1832 | |
---|
1833 | if (r1->minpoly != NULL) |
---|
1834 | { |
---|
1835 | if (r2->minpoly == NULL) return 0; |
---|
1836 | if (currRing == r1 || currRing == r2) |
---|
1837 | { |
---|
1838 | if (! nEqual(r1->minpoly, r2->minpoly)) return 0; |
---|
1839 | } |
---|
1840 | } |
---|
1841 | else if (r2->minpoly != NULL) return 0; |
---|
1842 | |
---|
1843 | if (qr) |
---|
1844 | { |
---|
1845 | if (r1->qideal != NULL) |
---|
1846 | { |
---|
1847 | ideal id1 = r1->qideal, id2 = r2->qideal; |
---|
1848 | int i, n; |
---|
1849 | poly *m1, *m2; |
---|
1850 | |
---|
1851 | if (id2 == NULL) return 0; |
---|
1852 | if ((n = IDELEMS(id1)) != IDELEMS(id2)) return 0; |
---|
1853 | |
---|
1854 | if (currRing == r1 || currRing == r2) |
---|
1855 | { |
---|
1856 | m1 = id1->m; |
---|
1857 | m2 = id2->m; |
---|
1858 | for (i=0; i<n; i++) |
---|
1859 | if (! pEqualPolys(m1[i],m2[i])) return 0; |
---|
1860 | } |
---|
1861 | } |
---|
1862 | else if (r2->qideal != NULL) return 0; |
---|
1863 | } |
---|
1864 | |
---|
1865 | return 1; |
---|
1866 | } |
---|
1867 | |
---|
1868 | rOrderType_t rGetOrderType(ring r) |
---|
1869 | { |
---|
1870 | // check for simple ordering |
---|
1871 | if (rHasSimpleOrder(r)) |
---|
1872 | { |
---|
1873 | if ((r->order[1] == ringorder_c) || (r->order[1] == ringorder_C)) |
---|
1874 | { |
---|
1875 | switch(r->order[0]) |
---|
1876 | { |
---|
1877 | case ringorder_dp: |
---|
1878 | case ringorder_wp: |
---|
1879 | case ringorder_ds: |
---|
1880 | case ringorder_ws: |
---|
1881 | case ringorder_ls: |
---|
1882 | case ringorder_unspec: |
---|
1883 | if (r->order[1] == ringorder_C || r->order[0] == ringorder_unspec) |
---|
1884 | return rOrderType_ExpComp; |
---|
1885 | return rOrderType_Exp; |
---|
1886 | |
---|
1887 | default: |
---|
1888 | assume(r->order[0] == ringorder_lp || |
---|
1889 | r->order[0] == ringorder_Dp || |
---|
1890 | r->order[0] == ringorder_Wp || |
---|
1891 | r->order[0] == ringorder_Ds || |
---|
1892 | r->order[0] == ringorder_Ws); |
---|
1893 | |
---|
1894 | if (r->order[1] == ringorder_c) return rOrderType_ExpComp; |
---|
1895 | return rOrderType_Exp; |
---|
1896 | } |
---|
1897 | } |
---|
1898 | else |
---|
1899 | { |
---|
1900 | assume((r->order[0]==ringorder_c)||(r->order[0]==ringorder_C)); |
---|
1901 | return rOrderType_CompExp; |
---|
1902 | } |
---|
1903 | } |
---|
1904 | else |
---|
1905 | return rOrderType_General; |
---|
1906 | } |
---|
1907 | |
---|
1908 | BOOLEAN rHasSimpleOrder(ring r) |
---|
1909 | { |
---|
1910 | return |
---|
1911 | (r->order[0] == ringorder_unspec) || |
---|
1912 | ((r->order[2] == 0) && |
---|
1913 | (r->order[1] != ringorder_M && |
---|
1914 | r->order[0] != ringorder_M)); |
---|
1915 | } |
---|
1916 | |
---|
1917 | // returns TRUE, if simple lp or ls ordering |
---|
1918 | BOOLEAN rHasSimpleLexOrder(ring r) |
---|
1919 | { |
---|
1920 | return rHasSimpleOrder(r) && |
---|
1921 | (r->order[0] == ringorder_ls || |
---|
1922 | r->order[0] == ringorder_lp || |
---|
1923 | r->order[1] == ringorder_ls || |
---|
1924 | r->order[1] == ringorder_lp); |
---|
1925 | } |
---|
1926 | |
---|
1927 | BOOLEAN rIsPolyVar(int v) |
---|
1928 | { |
---|
1929 | int i=0; |
---|
1930 | while(currRing->order[i]!=0) |
---|
1931 | { |
---|
1932 | if((currRing->block0[i]<=v) |
---|
1933 | && (currRing->block1[i]>=v)) |
---|
1934 | { |
---|
1935 | switch(currRing->order[i]) |
---|
1936 | { |
---|
1937 | case ringorder_a: |
---|
1938 | return (currRing->wvhdl[i][v-currRing->block0[i]]>0); |
---|
1939 | case ringorder_M: |
---|
1940 | return 2; /*don't know*/ |
---|
1941 | case ringorder_lp: |
---|
1942 | case ringorder_dp: |
---|
1943 | case ringorder_Dp: |
---|
1944 | case ringorder_wp: |
---|
1945 | case ringorder_Wp: |
---|
1946 | return TRUE; |
---|
1947 | case ringorder_ls: |
---|
1948 | case ringorder_ds: |
---|
1949 | case ringorder_Ds: |
---|
1950 | case ringorder_ws: |
---|
1951 | case ringorder_Ws: |
---|
1952 | return FALSE; |
---|
1953 | default: |
---|
1954 | break; |
---|
1955 | } |
---|
1956 | } |
---|
1957 | i++; |
---|
1958 | } |
---|
1959 | return 3; /* could not find var v*/ |
---|
1960 | } |
---|
1961 | |
---|
1962 | #ifdef RDEBUG |
---|
1963 | // This should eventually become a full-fledge ring check, like pTest |
---|
1964 | BOOLEAN rDBTest(ring r, char* fn, int l) |
---|
1965 | { |
---|
1966 | int i,j; |
---|
1967 | |
---|
1968 | if (r == NULL) |
---|
1969 | { |
---|
1970 | Werror("Null ring in %s:%l\n", fn, l); |
---|
1971 | return FALSE; |
---|
1972 | } |
---|
1973 | |
---|
1974 | if (r->N == 0) return TRUE; |
---|
1975 | |
---|
1976 | // mmTestP(r,sizeof(ip_sring)); |
---|
1977 | #ifdef MDEBUG |
---|
1978 | i=rBlocks(r); |
---|
1979 | mmTestP(r->order,i*sizeof(int)); |
---|
1980 | mmTestP(r->block0,i*sizeof(int)); |
---|
1981 | mmTestP(r->block1,i*sizeof(int)); |
---|
1982 | mmTestP(r->wvhdl,i*sizeof(int *)); |
---|
1983 | #endif |
---|
1984 | if (r->VarOffset == NULL) |
---|
1985 | { |
---|
1986 | Werror("Null ring VarOffset -- no rComplete (?) in n %s:%d\n", fn, l); |
---|
1987 | return FALSE; |
---|
1988 | } |
---|
1989 | #ifdef MDEBUG |
---|
1990 | mmDBTestBlock(r->VarOffset,(r->N+1)*sizeof(int),fn,l); |
---|
1991 | #endif |
---|
1992 | |
---|
1993 | if ((r->OrdSize==0)!=(r->typ==NULL)) |
---|
1994 | { |
---|
1995 | Werror("mismatch OrdSize and typ-pointer in %s:%d",fn,l); |
---|
1996 | return FALSE; |
---|
1997 | } |
---|
1998 | #ifdef MDEBUG |
---|
1999 | if (r->typ!=NULL) |
---|
2000 | mmDBTestBlock(r->typ,r->OrdSize*sizeof(*(r->typ)),fn,l); |
---|
2001 | mmDBTestBlock(r->VarOffset,(r->N+1)*sizeof(*(r->VarOffset)),fn,l); |
---|
2002 | #endif |
---|
2003 | // test assumptions: |
---|
2004 | for(i=0;i<=r->N;i++) |
---|
2005 | { |
---|
2006 | if(r->typ!=NULL) |
---|
2007 | { |
---|
2008 | for(j=0;j<r->OrdSize;j++) |
---|
2009 | { |
---|
2010 | if (r->typ[j].ord_typ==ro_cp) |
---|
2011 | { |
---|
2012 | if(((short)r->VarOffset[i]) == r->typ[j].data.cp.place) |
---|
2013 | Print("ordrec %d conflicts with var %d\n",j,i); |
---|
2014 | } |
---|
2015 | else |
---|
2016 | if ((r->typ[j].ord_typ!=ro_syzcomp) |
---|
2017 | && (r->VarOffset[i]/(sizeof(long)/sizeof(Exponent_t))) |
---|
2018 | == (size_t)r->typ[j].data.dp.place) |
---|
2019 | Print("ordrec %d conflicts with var %d\n",j,i); |
---|
2020 | } |
---|
2021 | } |
---|
2022 | if ((r->VarOffset[i]<0) ||(r->VarOffset[i]>r->ExpESize-1)) |
---|
2023 | { |
---|
2024 | Print("varoffset out of range for var %d: %d\n",i,r->VarOffset[i]); |
---|
2025 | } |
---|
2026 | } |
---|
2027 | if(r->typ!=NULL) |
---|
2028 | { |
---|
2029 | for(j=0;j<r->OrdSize;j++) |
---|
2030 | { |
---|
2031 | if ((r->typ[j].ord_typ==ro_dp) |
---|
2032 | || (r->typ[j].ord_typ==ro_wp)) |
---|
2033 | { |
---|
2034 | if (r->typ[j].data.dp.start > r->typ[j].data.dp.end) |
---|
2035 | Print("in ordrec %d: start(%d) > end(%d)\n",j, |
---|
2036 | r->typ[j].data.dp.start, r->typ[j].data.dp.end); |
---|
2037 | if ((r->typ[j].data.dp.start < 1) |
---|
2038 | || (r->typ[j].data.dp.end > r->N)) |
---|
2039 | Print("in ordrec %d: start(%d)<1 or end(%d)>vars(%d)\n",j, |
---|
2040 | r->typ[j].data.dp.start, r->typ[j].data.dp.end,r->N); |
---|
2041 | } |
---|
2042 | } |
---|
2043 | } |
---|
2044 | return TRUE; |
---|
2045 | } |
---|
2046 | #endif |
---|
2047 | |
---|
2048 | #ifdef HAVE_SHIFTED_COMPONENTS |
---|
2049 | static void rO_Align(int &place, int &bit_place) |
---|
2050 | { |
---|
2051 | // increment place to the next aligned one |
---|
2052 | // (count as Exponent_t,align as longs) |
---|
2053 | if (place & ((sizeof(long)/sizeof(Exponent_t))-1)) |
---|
2054 | { |
---|
2055 | place += ((sizeof(long)/sizeof(Exponent_t))-1); |
---|
2056 | place &= (~((sizeof(long)/sizeof(Exponent_t))-1)); |
---|
2057 | } |
---|
2058 | bit_place=0; |
---|
2059 | } |
---|
2060 | #else |
---|
2061 | static void rO_Align(int &place) |
---|
2062 | { |
---|
2063 | // increment place to the next aligned one |
---|
2064 | // (count as Exponent_t,align as longs) |
---|
2065 | if (place & ((sizeof(long)/sizeof(Exponent_t))-1)) |
---|
2066 | { |
---|
2067 | place += ((sizeof(long)/sizeof(Exponent_t))-1); |
---|
2068 | place &= (~((sizeof(long)/sizeof(Exponent_t))-1)); |
---|
2069 | } |
---|
2070 | } |
---|
2071 | #endif |
---|
2072 | |
---|
2073 | static void rO_TDegree(int &place, int start, int end, |
---|
2074 | long *o, sro_ord &ord_struct) |
---|
2075 | { |
---|
2076 | // degree (aligned) of variables v_start..v_end, ordsgn 1 |
---|
2077 | rO_Align(place); |
---|
2078 | ord_struct.ord_typ=ro_dp; |
---|
2079 | ord_struct.data.dp.start=start; |
---|
2080 | ord_struct.data.dp.end=end; |
---|
2081 | ord_struct.data.dp.place=place/(sizeof(long)/sizeof(Exponent_t)); |
---|
2082 | o[place/(sizeof(long)/sizeof(Exponent_t))]=1; |
---|
2083 | place++; |
---|
2084 | rO_Align(place); |
---|
2085 | } |
---|
2086 | |
---|
2087 | static void rO_TDegree_neg(int &place, int start, int end, |
---|
2088 | long *o, sro_ord &ord_struct) |
---|
2089 | { |
---|
2090 | // degree (aligned) of variables v_start..v_end, ordsgn -1 |
---|
2091 | rO_Align(place); |
---|
2092 | ord_struct.ord_typ=ro_dp; |
---|
2093 | ord_struct.data.dp.start=start; |
---|
2094 | ord_struct.data.dp.end=end; |
---|
2095 | ord_struct.data.dp.place=place/(sizeof(long)/sizeof(Exponent_t)); |
---|
2096 | o[place/(sizeof(long)/sizeof(Exponent_t))]=-1; |
---|
2097 | place++; |
---|
2098 | rO_Align(place); |
---|
2099 | } |
---|
2100 | |
---|
2101 | static void rO_WDegree(int &place, int start, int end, |
---|
2102 | long *o, sro_ord &ord_struct, int *weights) |
---|
2103 | { |
---|
2104 | // weighted degree (aligned) of variables v_start..v_end, ordsgn 1 |
---|
2105 | rO_Align(place); |
---|
2106 | ord_struct.ord_typ=ro_wp; |
---|
2107 | ord_struct.data.wp.start=start; |
---|
2108 | ord_struct.data.wp.end=end; |
---|
2109 | ord_struct.data.wp.place=place/(sizeof(long)/sizeof(Exponent_t)); |
---|
2110 | ord_struct.data.wp.weights=weights; |
---|
2111 | o[place/(sizeof(long)/sizeof(Exponent_t))]=1; |
---|
2112 | place++; |
---|
2113 | rO_Align(place); |
---|
2114 | } |
---|
2115 | |
---|
2116 | static void rO_WDegree_neg(int &place, int start, int end, |
---|
2117 | long *o, sro_ord &ord_struct, int *weights) |
---|
2118 | { |
---|
2119 | // weighted degree (aligned) of variables v_start..v_end, ordsgn -1 |
---|
2120 | rO_Align(place); |
---|
2121 | ord_struct.ord_typ=ro_wp; |
---|
2122 | ord_struct.data.wp.start=start; |
---|
2123 | ord_struct.data.wp.end=end; |
---|
2124 | ord_struct.data.wp.place=place/(sizeof(long)/sizeof(Exponent_t)); |
---|
2125 | ord_struct.data.wp.weights=weights; |
---|
2126 | o[place/(sizeof(long)/sizeof(Exponent_t))]=-1; |
---|
2127 | place++; |
---|
2128 | rO_Align(place); |
---|
2129 | } |
---|
2130 | |
---|
2131 | #ifdef HAVE_SHIFTED_EXPONENTS |
---|
2132 | static void rO_LexVars(int &place, int start, int end, int &prev_ord, |
---|
2133 | long *o,int *v, int bits) |
---|
2134 | { |
---|
2135 | // a block of variables v_start..v_end with lex order, ordsgn 1 |
---|
2136 | int k; |
---|
2137 | int incr=1; |
---|
2138 | if(prev_ord==-1) rO_Align(place); |
---|
2139 | if (start>end) |
---|
2140 | { |
---|
2141 | incr=-1; |
---|
2142 | } |
---|
2143 | int bit_start=0; |
---|
2144 | for(k=start;;k+=incr) |
---|
2145 | { |
---|
2146 | o[place/(sizeof(long)/sizeof(Exponent_t))]=1; |
---|
2147 | v[k]=place | (bit_start << 24); |
---|
2148 | bit_start+=bits; |
---|
2149 | #if SIZEOF_LONG == 4 |
---|
2150 | if (bit_start > 32-bits) { bit_start=0; place++; } |
---|
2151 | #else /* SIZEOF_LONG == 8 */ |
---|
2152 | if (bit_start > 64-bits) { bit_start=0; place++; } |
---|
2153 | #endif |
---|
2154 | if (k==end) break; |
---|
2155 | } |
---|
2156 | prev_ord=1; |
---|
2157 | } |
---|
2158 | |
---|
2159 | static void rO_LexVars_neg(int &place, int start, int end, int &prev_ord, |
---|
2160 | long *o,int *v, int bits) |
---|
2161 | { |
---|
2162 | // a block of variables v_start..v_end with lex order, ordsgn -1 |
---|
2163 | int k; |
---|
2164 | int incr=1; |
---|
2165 | if(prev_ord==1) rO_Align(place); |
---|
2166 | if (start>end) |
---|
2167 | { |
---|
2168 | incr=-1; |
---|
2169 | } |
---|
2170 | int bit_start=0; |
---|
2171 | for(k=start;;k+=incr) |
---|
2172 | { |
---|
2173 | o[place/(sizeof(long)/sizeof(Exponent_t))]=-1; |
---|
2174 | v[k]=place | (bit_start << 24); |
---|
2175 | #if SIZEOF_LONG == 4 |
---|
2176 | if (bit_start > 32-bits) { bit_start=0; place++; } |
---|
2177 | #else /* SIZEOF_LONG == 8 */ |
---|
2178 | if (bit_start > 64-bits) { bit_start=0; place++; } |
---|
2179 | #endif |
---|
2180 | if (k==end) break; |
---|
2181 | } |
---|
2182 | prev_ord=-1; |
---|
2183 | } |
---|
2184 | |
---|
2185 | #else |
---|
2186 | |
---|
2187 | static void rO_LexVars(int &place, int start, int end, int &prev_ord, |
---|
2188 | long *o,int *v) |
---|
2189 | { |
---|
2190 | // a block of variables v_start..v_end with lex order, ordsgn 1 |
---|
2191 | int k; |
---|
2192 | int incr=1; |
---|
2193 | if(prev_ord==-1) rO_Align(place); |
---|
2194 | if (start>end) |
---|
2195 | { |
---|
2196 | incr=-1; |
---|
2197 | } |
---|
2198 | for(k=start;;k+=incr) |
---|
2199 | { |
---|
2200 | o[place/(sizeof(long)/sizeof(Exponent_t))]=1; |
---|
2201 | v[k]=place; |
---|
2202 | place++; |
---|
2203 | if (k==end) break; |
---|
2204 | } |
---|
2205 | prev_ord=1; |
---|
2206 | } |
---|
2207 | |
---|
2208 | static void rO_LexVars_neg(int &place, int start, int end, int &prev_ord, |
---|
2209 | long *o,int *v) |
---|
2210 | { |
---|
2211 | // a block of variables v_start..v_end with lex order, ordsgn -1 |
---|
2212 | int k; |
---|
2213 | int incr=1; |
---|
2214 | if(prev_ord==1) rO_Align(place); |
---|
2215 | if (start>end) |
---|
2216 | { |
---|
2217 | incr=-1; |
---|
2218 | } |
---|
2219 | for(k=start;;k+=incr) |
---|
2220 | { |
---|
2221 | o[place/(sizeof(long)/sizeof(Exponent_t))]=-1; |
---|
2222 | v[k]=place; |
---|
2223 | place++; |
---|
2224 | if (k==end) break; |
---|
2225 | } |
---|
2226 | prev_ord=-1; |
---|
2227 | } |
---|
2228 | |
---|
2229 | #endif |
---|
2230 | |
---|
2231 | #ifndef HAVE_SHIFTED_EXPONENTS |
---|
2232 | #ifdef LONG_MONOMS |
---|
2233 | static void rO_DupVars(int &place, int start, int end) |
---|
2234 | { |
---|
2235 | // a block of variables v_start..v_end to be duplicated (for pDivisibleBy): |
---|
2236 | place+=(end-start+1); |
---|
2237 | } |
---|
2238 | #endif |
---|
2239 | #endif |
---|
2240 | |
---|
2241 | static void rO_Syzcomp(int &place, int &prev_ord, |
---|
2242 | long *o, sro_ord &ord_struct) |
---|
2243 | { |
---|
2244 | // ordering is derived from component number |
---|
2245 | rO_Align(place); |
---|
2246 | ord_struct.ord_typ=ro_syzcomp; |
---|
2247 | ord_struct.data.syzcomp.place=place/(sizeof(long)/sizeof(Exponent_t)); |
---|
2248 | ord_struct.data.syzcomp.Components=NULL; |
---|
2249 | ord_struct.data.syzcomp.ShiftedComponents=NULL; |
---|
2250 | o[place/(sizeof(long)/sizeof(Exponent_t))]=1; |
---|
2251 | prev_ord=1; |
---|
2252 | place++; |
---|
2253 | rO_Align(place); |
---|
2254 | } |
---|
2255 | |
---|
2256 | #ifdef HAVE_SHIFTED_EXPONENTS |
---|
2257 | BOOLEAN rComplete(ring r, int force) |
---|
2258 | { |
---|
2259 | if (r->VarOffset!=NULL && force == 0) return FALSE; |
---|
2260 | |
---|
2261 | int n=rBlocks(r)-1; |
---|
2262 | int i; |
---|
2263 | int j=0; |
---|
2264 | int prev_ordsgn=0; |
---|
2265 | long *tmp_ordsgn=(long *)Alloc0(2*(n+r->N)*sizeof(long)); // wil be used for ordsgn |
---|
2266 | int *v=(int *)Alloc((r->N+1)*sizeof(int)); // will be used for VarOffset |
---|
2267 | for(i=r->N; i>=0 ; i--) |
---|
2268 | { |
---|
2269 | v[i]=-1; |
---|
2270 | } |
---|
2271 | sro_ord *tmp_typ=(sro_ord *)Alloc0(2*(n+r->N)*sizeof(sro_ord)); |
---|
2272 | int typ_i=0; |
---|
2273 | int bits; |
---|
2274 | int bit_place=0; |
---|
2275 | switch(r->bitmask) |
---|
2276 | { |
---|
2277 | #if SIZEOF_LONG == 8 |
---|
2278 | case 0xffffffffffffffffL: bits=64; break; /* 64 bit longs only */ |
---|
2279 | #endif |
---|
2280 | case 0xffffffff: bits=32; break; |
---|
2281 | #if SIZEOF_LONG == 8 |
---|
2282 | case 0xfffff: bits=20; break; /* 64 bit longs only */ |
---|
2283 | #endif |
---|
2284 | case 0xffff: bits=16; break; |
---|
2285 | #if SIZEOF_LONG == 8 |
---|
2286 | case 0xfff: bits=12; break; /* 64 bit longs only */ |
---|
2287 | #endif |
---|
2288 | case 0x3ff: bits=10; break; |
---|
2289 | #if SIZEOF_LONG == 8 |
---|
2290 | case 0x1ff: bits=9; break; /* 64 bit longs only */ |
---|
2291 | #endif |
---|
2292 | case 0xff: bits=8; break; |
---|
2293 | #if SIZEOF_LONG == 8 |
---|
2294 | case 0x7f: bits=7; break; /* 64 bit longs only */ |
---|
2295 | #endif |
---|
2296 | case 0x3f: bits=6; break; |
---|
2297 | case 0x1f: bits=5; break; |
---|
2298 | case 0xf: bits=4; break; |
---|
2299 | case 0x7: bits=3; break; |
---|
2300 | case 0x3: bits=2; break; |
---|
2301 | default: |
---|
2302 | Werror("unknown bitmask %xl",r->bitmask); |
---|
2303 | return TRUE; |
---|
2304 | } |
---|
2305 | r->pVarLowIndex=0; |
---|
2306 | |
---|
2307 | // fill in v, tmp_typ, tmp_ordsgn, determine pVarLowIndex, typ_i (== ordSize) |
---|
2308 | for(i=0;i<n;i++) |
---|
2309 | { |
---|
2310 | switch (r->order[i]) |
---|
2311 | { |
---|
2312 | case ringorder_a: |
---|
2313 | rO_WDegree(j,r->block0[i],r->block1[i],tmp_ordsgn,tmp_typ[typ_i], |
---|
2314 | r->wvhdl[i]); |
---|
2315 | r->pVarLowIndex=j; |
---|
2316 | typ_i++; |
---|
2317 | break; |
---|
2318 | |
---|
2319 | case ringorder_c: |
---|
2320 | rO_LexVars_neg(j, 0,0, prev_ordsgn,tmp_ordsgn,v,bits); |
---|
2321 | break; |
---|
2322 | |
---|
2323 | case ringorder_C: |
---|
2324 | rO_LexVars(j, 0,0, prev_ordsgn,tmp_ordsgn,v,bits); |
---|
2325 | break; |
---|
2326 | |
---|
2327 | case ringorder_M: |
---|
2328 | { |
---|
2329 | int k,l; |
---|
2330 | k=r->block1[i]-r->block0[i]+1; // number of vars |
---|
2331 | for(l=0;l<k;l++) |
---|
2332 | { |
---|
2333 | rO_WDegree(j,r->block0[i],r->block1[i],tmp_ordsgn,tmp_typ[typ_i], |
---|
2334 | r->wvhdl[i]+(r->block1[i]-r->block0[i]+1)*l); |
---|
2335 | typ_i++; |
---|
2336 | } |
---|
2337 | r->pVarLowIndex=j; |
---|
2338 | break; |
---|
2339 | } |
---|
2340 | |
---|
2341 | case ringorder_lp: |
---|
2342 | rO_LexVars(j, r->block0[i],r->block1[i], prev_ordsgn,tmp_ordsgn,v, |
---|
2343 | bits); |
---|
2344 | break; |
---|
2345 | |
---|
2346 | case ringorder_ls: |
---|
2347 | rO_LexVars_neg(j, r->block0[i],r->block1[i], prev_ordsgn,tmp_ordsgn,v, |
---|
2348 | bits); |
---|
2349 | break; |
---|
2350 | |
---|
2351 | case ringorder_dp: |
---|
2352 | if (r->block0[i]==r->block1[i]) |
---|
2353 | { |
---|
2354 | rO_LexVars(j, r->block0[i],r->block1[i], prev_ordsgn,tmp_ordsgn,v, |
---|
2355 | bits); |
---|
2356 | } |
---|
2357 | else |
---|
2358 | { |
---|
2359 | rO_TDegree(j,r->block0[i],r->block1[i],tmp_ordsgn,tmp_typ[typ_i]); |
---|
2360 | r->pVarLowIndex=j; |
---|
2361 | typ_i++; |
---|
2362 | rO_LexVars_neg(j, r->block1[i],r->block0[i]+1, |
---|
2363 | prev_ordsgn,tmp_ordsgn,v,bits); |
---|
2364 | } |
---|
2365 | break; |
---|
2366 | |
---|
2367 | case ringorder_Dp: |
---|
2368 | if (r->block0[i]==r->block1[i]) |
---|
2369 | { |
---|
2370 | rO_LexVars(j, r->block0[i],r->block1[i], prev_ordsgn,tmp_ordsgn,v, |
---|
2371 | bits); |
---|
2372 | } |
---|
2373 | else |
---|
2374 | { |
---|
2375 | rO_TDegree(j,r->block0[i],r->block1[i],tmp_ordsgn,tmp_typ[typ_i]); |
---|
2376 | r->pVarLowIndex=j; |
---|
2377 | typ_i++; |
---|
2378 | rO_LexVars(j, r->block0[i],r->block1[i]-1, prev_ordsgn,tmp_ordsgn,v, |
---|
2379 | bits); |
---|
2380 | } |
---|
2381 | break; |
---|
2382 | |
---|
2383 | case ringorder_ds: |
---|
2384 | if (r->block0[i]==r->block1[i]) |
---|
2385 | { |
---|
2386 | rO_LexVars_neg(j, r->block0[i],r->block1[i],prev_ordsgn,tmp_ordsgn,v, |
---|
2387 | bits); |
---|
2388 | } |
---|
2389 | else |
---|
2390 | { |
---|
2391 | rO_TDegree_neg(j,r->block0[i],r->block1[i],tmp_ordsgn,tmp_typ[typ_i]); |
---|
2392 | r->pVarLowIndex=j; |
---|
2393 | typ_i++; |
---|
2394 | rO_LexVars_neg(j, r->block1[i],r->block0[i]+1, |
---|
2395 | prev_ordsgn,tmp_ordsgn,v,bits); |
---|
2396 | } |
---|
2397 | break; |
---|
2398 | |
---|
2399 | case ringorder_Ds: |
---|
2400 | if (r->block0[i]==r->block1[i]) |
---|
2401 | { |
---|
2402 | rO_LexVars_neg(j, r->block0[i],r->block1[i],prev_ordsgn,tmp_ordsgn,v, |
---|
2403 | bits); |
---|
2404 | } |
---|
2405 | else |
---|
2406 | { |
---|
2407 | rO_TDegree_neg(j,r->block0[i],r->block1[i],tmp_ordsgn,tmp_typ[typ_i]); |
---|
2408 | r->pVarLowIndex=j; |
---|
2409 | typ_i++; |
---|
2410 | rO_LexVars(j, r->block0[i],r->block1[i]-1, prev_ordsgn,tmp_ordsgn,v, |
---|
2411 | bits); |
---|
2412 | } |
---|
2413 | break; |
---|
2414 | |
---|
2415 | case ringorder_wp: |
---|
2416 | rO_WDegree(j,r->block0[i],r->block1[i],tmp_ordsgn,tmp_typ[typ_i], |
---|
2417 | r->wvhdl[i]); |
---|
2418 | r->pVarLowIndex=j; |
---|
2419 | typ_i++; |
---|
2420 | if (r->block1[i]!=r->block0[i]) |
---|
2421 | rO_LexVars_neg(j, r->block1[i],r->block0[i]+1, prev_ordsgn,tmp_ordsgn, |
---|
2422 | v,bits); |
---|
2423 | break; |
---|
2424 | |
---|
2425 | case ringorder_Wp: |
---|
2426 | rO_WDegree(j,r->block0[i],r->block1[i],tmp_ordsgn,tmp_typ[typ_i], |
---|
2427 | r->wvhdl[i]); |
---|
2428 | r->pVarLowIndex=j; |
---|
2429 | typ_i++; |
---|
2430 | if (r->block1[i]!=r->block0[i]) |
---|
2431 | rO_LexVars(j, r->block0[i],r->block1[i]-1, prev_ordsgn,tmp_ordsgn,v, |
---|
2432 | bits); |
---|
2433 | break; |
---|
2434 | |
---|
2435 | case ringorder_ws: |
---|
2436 | rO_WDegree_neg(j,r->block0[i],r->block1[i],tmp_ordsgn,tmp_typ[typ_i], |
---|
2437 | r->wvhdl[i]); |
---|
2438 | r->pVarLowIndex=j; |
---|
2439 | typ_i++; |
---|
2440 | if (r->block1[i]!=r->block0[i]) |
---|
2441 | rO_LexVars_neg(j, r->block1[i],r->block0[i]+1, prev_ordsgn,tmp_ordsgn, |
---|
2442 | v,bits); |
---|
2443 | break; |
---|
2444 | |
---|
2445 | case ringorder_Ws: |
---|
2446 | rO_WDegree_neg(j,r->block0[i],r->block1[i],tmp_ordsgn,tmp_typ[typ_i], |
---|
2447 | r->wvhdl[i]); |
---|
2448 | r->pVarLowIndex=j; |
---|
2449 | typ_i++; |
---|
2450 | if (r->block1[i]!=r->block0[i]) |
---|
2451 | rO_LexVars(j, r->block0[i],r->block1[i]-1, prev_ordsgn,tmp_ordsgn,v, |
---|
2452 | bits); |
---|
2453 | break; |
---|
2454 | |
---|
2455 | case ringorder_S: |
---|
2456 | rO_Syzcomp(j, prev_ordsgn, tmp_ordsgn,tmp_typ[typ_i]); |
---|
2457 | r->pVarLowIndex=j; |
---|
2458 | typ_i++; |
---|
2459 | break; |
---|
2460 | |
---|
2461 | case ringorder_unspec: |
---|
2462 | case ringorder_no: |
---|
2463 | default: |
---|
2464 | Print("undef. ringorder used\n"); |
---|
2465 | break; |
---|
2466 | } |
---|
2467 | } |
---|
2468 | |
---|
2469 | int j0=j-1; |
---|
2470 | rO_Align(j); |
---|
2471 | r->pCompHighIndex=(j-1)/(sizeof(long)/sizeof(Exponent_t)); |
---|
2472 | j=j0+1; |
---|
2473 | |
---|
2474 | // fill in some empty slots with variables not already covered |
---|
2475 | for(i=0 ; i<r->N+1 ; i++) |
---|
2476 | { |
---|
2477 | if(v[i]==(-1)) |
---|
2478 | { |
---|
2479 | if (prev_ordsgn==1) |
---|
2480 | { |
---|
2481 | rO_LexVars(j, i,i, prev_ordsgn,tmp_ordsgn,v,bits); |
---|
2482 | } |
---|
2483 | else |
---|
2484 | { |
---|
2485 | rO_LexVars_neg(j, i,i, prev_ordsgn,tmp_ordsgn,v,bits); |
---|
2486 | } |
---|
2487 | } |
---|
2488 | } |
---|
2489 | |
---|
2490 | r->pVarHighIndex=j-1; |
---|
2491 | rO_Align(j); |
---|
2492 | // ---------------------------- |
---|
2493 | // finished with constructing the monomial, computing sizes: |
---|
2494 | |
---|
2495 | r->ExpESize=j; |
---|
2496 | r->ExpLSize=j/(sizeof(long)/sizeof(Exponent_t)); |
---|
2497 | r->mm_specHeap = mmGetSpecHeap(POLYSIZE + (r->ExpLSize)*sizeof(long)); |
---|
2498 | |
---|
2499 | // ---------------------------- |
---|
2500 | // indices and ordsgn vector for comparison |
---|
2501 | // |
---|
2502 | #ifndef WORDS_BIGENDIAN |
---|
2503 | r->pCompLowIndex = r->ExpLSize - 1 - r->pCompHighIndex; |
---|
2504 | r->pCompHighIndex = r->ExpLSize - 1; |
---|
2505 | #else |
---|
2506 | r->pCompLowIndex=0; |
---|
2507 | // r->pCompHighIndex already set |
---|
2508 | #endif |
---|
2509 | r->pCompLSize = r->pCompHighIndex - r->pCompLowIndex + 1; |
---|
2510 | r->ordsgn=(long *)Alloc(r->pCompLSize*sizeof(long)); |
---|
2511 | |
---|
2512 | for(j=r->pCompLowIndex;j<=r->pCompHighIndex;j++) |
---|
2513 | { |
---|
2514 | r->ordsgn[r->pCompLSize - (j - r->pCompLowIndex) - 1] |
---|
2515 | = tmp_ordsgn[j-r->pCompLowIndex]; |
---|
2516 | } |
---|
2517 | |
---|
2518 | Free((ADDRESS)tmp_ordsgn,(2*(n+r->N)*sizeof(long))); |
---|
2519 | |
---|
2520 | // ---------------------------- |
---|
2521 | // description of orderings for setm: |
---|
2522 | // |
---|
2523 | r->OrdSize=typ_i; |
---|
2524 | if (typ_i==0) r->typ=NULL; |
---|
2525 | else |
---|
2526 | { |
---|
2527 | r->typ=(sro_ord*)Alloc(typ_i*sizeof(sro_ord)); |
---|
2528 | memcpy(r->typ,tmp_typ,typ_i*sizeof(sro_ord)); |
---|
2529 | } |
---|
2530 | Free((ADDRESS)tmp_typ,(2*(n+r->N)*sizeof(sro_ord))); |
---|
2531 | |
---|
2532 | #ifndef WORDS_BIGENDIAN |
---|
2533 | // LITTLE_ENDIAN: revert some stuff in r->typ |
---|
2534 | for(j=r->OrdSize-1;j>=0;j--) |
---|
2535 | { |
---|
2536 | if(r->typ[j].ord_typ==ro_cp) |
---|
2537 | { |
---|
2538 | int end_place=r->typ[j].data.cp.place |
---|
2539 | +r->typ[j].data.cp.end-r->typ[j].data.cp.start; |
---|
2540 | r->typ[j].data.cp.place=r->ExpESize-end_place-1; |
---|
2541 | } |
---|
2542 | //else if(r->typ[j].ord_typ==ro_syzcomp) |
---|
2543 | //{ |
---|
2544 | // int place=r->typ[j].data.syzcomp.place; |
---|
2545 | // r->typ[j].data.syzcomp.place=r->ExpLSize-place-1; |
---|
2546 | //} |
---|
2547 | else |
---|
2548 | { |
---|
2549 | int new_index=r->ExpLSize-r->typ[j].data.dp.place-1; |
---|
2550 | r->typ[j].data.dp.place=new_index; |
---|
2551 | } |
---|
2552 | } |
---|
2553 | #endif |
---|
2554 | |
---|
2555 | // ---------------------------- |
---|
2556 | // indices for (first copy of ) variable entries in exp.e vector (VarOffset): |
---|
2557 | #ifdef WORDS_BIGENDIAN |
---|
2558 | // BIGENDIAN: |
---|
2559 | r->VarOffset=v; |
---|
2560 | #else |
---|
2561 | // LITTLE-Endian: revert |
---|
2562 | r->VarOffset=(int *)Alloc((r->N+1)*sizeof(int)); |
---|
2563 | for(j=r->N;j>=0;j--) |
---|
2564 | { |
---|
2565 | r->VarOffset[j]=r->ExpESize-v[j]-1; |
---|
2566 | } |
---|
2567 | Free((ADDRESS)v,(r->N+1)*sizeof(int)); |
---|
2568 | j=r->pVarLowIndex; |
---|
2569 | r->pVarLowIndex=r->ExpESize-r->pVarHighIndex-1; |
---|
2570 | r->pVarHighIndex=r->ExpESize-j-1; |
---|
2571 | #endif |
---|
2572 | |
---|
2573 | // ---------------------------- |
---|
2574 | // other indicies |
---|
2575 | r->pDivLow=r->pVarLowIndex/(sizeof(long)/sizeof(Exponent_t)); |
---|
2576 | r->pDivHigh=r->pVarHighIndex/(sizeof(long)/sizeof(Exponent_t)); |
---|
2577 | r->pCompIndex=r->VarOffset[0]; |
---|
2578 | #ifdef WORDS_BIGENDIAN |
---|
2579 | if(r->pCompIndex==0) r->pOrdIndex=1; |
---|
2580 | else r->pOrdIndex=0; |
---|
2581 | #else |
---|
2582 | if(r->pCompIndex==r->ExpESize-1) r->pOrdIndex=r->ExpLSize-2; |
---|
2583 | else r->pOrdIndex=r->ExpLSize-1; |
---|
2584 | #endif |
---|
2585 | rTest(r); |
---|
2586 | return FALSE; |
---|
2587 | } |
---|
2588 | #else |
---|
2589 | BOOLEAN rComplete(ring r, int force) |
---|
2590 | { |
---|
2591 | if (r->VarOffset!=NULL && force == 0) return FALSE; |
---|
2592 | |
---|
2593 | int n=rBlocks(r)-1; |
---|
2594 | int i; |
---|
2595 | int j=0; |
---|
2596 | int prev_ordsgn=0; |
---|
2597 | long *tmp_ordsgn=(long *)Alloc0(2*(n+r->N)*sizeof(long)); // wil be used for ordsgn |
---|
2598 | int *v=(int *)Alloc((r->N+1)*sizeof(int)); // will be used for VarOffset |
---|
2599 | for(i=r->N; i>=0 ; i--) |
---|
2600 | { |
---|
2601 | v[i]=-1; |
---|
2602 | } |
---|
2603 | sro_ord *tmp_typ=(sro_ord *)Alloc0(2*(n+r->N)*sizeof(sro_ord)); |
---|
2604 | int typ_i=0; |
---|
2605 | r->pVarLowIndex=0; |
---|
2606 | |
---|
2607 | // fill in v, tmp_typ, tmp_ordsgn, determine pVarLowIndex, typ_i (== ordSize) |
---|
2608 | for(i=0;i<n;i++) |
---|
2609 | { |
---|
2610 | switch (r->order[i]) |
---|
2611 | { |
---|
2612 | case ringorder_a: |
---|
2613 | rO_WDegree(j,r->block0[i],r->block1[i],tmp_ordsgn,tmp_typ[typ_i], |
---|
2614 | r->wvhdl[i]); |
---|
2615 | r->pVarLowIndex=j; |
---|
2616 | typ_i++; |
---|
2617 | break; |
---|
2618 | |
---|
2619 | case ringorder_c: |
---|
2620 | rO_LexVars_neg(j, 0,0, prev_ordsgn,tmp_ordsgn,v); |
---|
2621 | break; |
---|
2622 | |
---|
2623 | case ringorder_C: |
---|
2624 | rO_LexVars(j, 0,0, prev_ordsgn,tmp_ordsgn,v); |
---|
2625 | break; |
---|
2626 | |
---|
2627 | case ringorder_M: |
---|
2628 | { |
---|
2629 | int k,l; |
---|
2630 | k=r->block1[i]-r->block0[i]+1; // number of vars |
---|
2631 | for(l=0;l<k;l++) |
---|
2632 | { |
---|
2633 | rO_WDegree(j,r->block0[i],r->block1[i],tmp_ordsgn,tmp_typ[typ_i], |
---|
2634 | r->wvhdl[i]+(r->block1[i]-r->block0[i]+1)*l); |
---|
2635 | typ_i++; |
---|
2636 | } |
---|
2637 | r->pVarLowIndex=j; |
---|
2638 | break; |
---|
2639 | } |
---|
2640 | |
---|
2641 | case ringorder_lp: |
---|
2642 | rO_LexVars(j, r->block0[i],r->block1[i], prev_ordsgn,tmp_ordsgn,v); |
---|
2643 | break; |
---|
2644 | |
---|
2645 | case ringorder_ls: |
---|
2646 | rO_LexVars_neg(j, r->block0[i],r->block1[i], prev_ordsgn,tmp_ordsgn,v); |
---|
2647 | break; |
---|
2648 | |
---|
2649 | case ringorder_dp: |
---|
2650 | if (r->block0[i]==r->block1[i]) |
---|
2651 | { |
---|
2652 | rO_LexVars(j, r->block0[i],r->block1[i], prev_ordsgn,tmp_ordsgn,v); |
---|
2653 | } |
---|
2654 | else |
---|
2655 | { |
---|
2656 | rO_TDegree(j,r->block0[i],r->block1[i],tmp_ordsgn,tmp_typ[typ_i]); |
---|
2657 | r->pVarLowIndex=j; |
---|
2658 | typ_i++; |
---|
2659 | rO_LexVars_neg(j, r->block1[i],r->block0[i]+1, |
---|
2660 | prev_ordsgn,tmp_ordsgn,v); |
---|
2661 | } |
---|
2662 | break; |
---|
2663 | |
---|
2664 | case ringorder_Dp: |
---|
2665 | if (r->block0[i]==r->block1[i]) |
---|
2666 | { |
---|
2667 | rO_LexVars(j, r->block0[i],r->block1[i], prev_ordsgn,tmp_ordsgn,v); |
---|
2668 | } |
---|
2669 | else |
---|
2670 | { |
---|
2671 | rO_TDegree(j,r->block0[i],r->block1[i],tmp_ordsgn,tmp_typ[typ_i]); |
---|
2672 | r->pVarLowIndex=j; |
---|
2673 | typ_i++; |
---|
2674 | rO_LexVars(j, r->block0[i],r->block1[i]-1, prev_ordsgn,tmp_ordsgn,v); |
---|
2675 | } |
---|
2676 | break; |
---|
2677 | |
---|
2678 | case ringorder_ds: |
---|
2679 | if (r->block0[i]==r->block1[i]) |
---|
2680 | { |
---|
2681 | rO_LexVars_neg(j, r->block0[i],r->block1[i],prev_ordsgn,tmp_ordsgn,v); |
---|
2682 | } |
---|
2683 | else |
---|
2684 | { |
---|
2685 | rO_TDegree_neg(j,r->block0[i],r->block1[i],tmp_ordsgn,tmp_typ[typ_i]); |
---|
2686 | r->pVarLowIndex=j; |
---|
2687 | typ_i++; |
---|
2688 | rO_LexVars_neg(j, r->block1[i],r->block0[i]+1, |
---|
2689 | prev_ordsgn,tmp_ordsgn,v); |
---|
2690 | } |
---|
2691 | break; |
---|
2692 | |
---|
2693 | case ringorder_Ds: |
---|
2694 | if (r->block0[i]==r->block1[i]) |
---|
2695 | { |
---|
2696 | rO_LexVars_neg(j, r->block0[i],r->block1[i],prev_ordsgn,tmp_ordsgn,v); |
---|
2697 | } |
---|
2698 | else |
---|
2699 | { |
---|
2700 | rO_TDegree_neg(j,r->block0[i],r->block1[i],tmp_ordsgn,tmp_typ[typ_i]); |
---|
2701 | r->pVarLowIndex=j; |
---|
2702 | typ_i++; |
---|
2703 | rO_LexVars(j, r->block0[i],r->block1[i]-1, prev_ordsgn,tmp_ordsgn,v); |
---|
2704 | } |
---|
2705 | break; |
---|
2706 | |
---|
2707 | case ringorder_wp: |
---|
2708 | rO_WDegree(j,r->block0[i],r->block1[i],tmp_ordsgn,tmp_typ[typ_i], |
---|
2709 | r->wvhdl[i]); |
---|
2710 | r->pVarLowIndex=j; |
---|
2711 | typ_i++; |
---|
2712 | if (r->block1[i]!=r->block0[i]) |
---|
2713 | rO_LexVars_neg(j, r->block1[i],r->block0[i]+1, prev_ordsgn,tmp_ordsgn,v); |
---|
2714 | break; |
---|
2715 | |
---|
2716 | case ringorder_Wp: |
---|
2717 | rO_WDegree(j,r->block0[i],r->block1[i],tmp_ordsgn,tmp_typ[typ_i], |
---|
2718 | r->wvhdl[i]); |
---|
2719 | r->pVarLowIndex=j; |
---|
2720 | typ_i++; |
---|
2721 | if (r->block1[i]!=r->block0[i]) |
---|
2722 | rO_LexVars(j, r->block0[i],r->block1[i]-1, prev_ordsgn,tmp_ordsgn,v); |
---|
2723 | break; |
---|
2724 | |
---|
2725 | case ringorder_ws: |
---|
2726 | rO_WDegree_neg(j,r->block0[i],r->block1[i],tmp_ordsgn,tmp_typ[typ_i], |
---|
2727 | r->wvhdl[i]); |
---|
2728 | r->pVarLowIndex=j; |
---|
2729 | typ_i++; |
---|
2730 | if (r->block1[i]!=r->block0[i]) |
---|
2731 | rO_LexVars_neg(j, r->block1[i],r->block0[i]+1, prev_ordsgn,tmp_ordsgn,v); |
---|
2732 | break; |
---|
2733 | |
---|
2734 | case ringorder_Ws: |
---|
2735 | rO_WDegree_neg(j,r->block0[i],r->block1[i],tmp_ordsgn,tmp_typ[typ_i], |
---|
2736 | r->wvhdl[i]); |
---|
2737 | r->pVarLowIndex=j; |
---|
2738 | typ_i++; |
---|
2739 | if (r->block1[i]!=r->block0[i]) |
---|
2740 | rO_LexVars(j, r->block0[i],r->block1[i]-1, prev_ordsgn,tmp_ordsgn,v); |
---|
2741 | break; |
---|
2742 | |
---|
2743 | case ringorder_S: |
---|
2744 | rO_Syzcomp(j, prev_ordsgn, tmp_ordsgn,tmp_typ[typ_i]); |
---|
2745 | r->pVarLowIndex=j; |
---|
2746 | typ_i++; |
---|
2747 | break; |
---|
2748 | |
---|
2749 | case ringorder_unspec: |
---|
2750 | case ringorder_no: |
---|
2751 | default: |
---|
2752 | Print("undef. ringorder used\n"); |
---|
2753 | break; |
---|
2754 | } |
---|
2755 | } |
---|
2756 | |
---|
2757 | int j0=j-1; |
---|
2758 | rO_Align(j); |
---|
2759 | r->pCompHighIndex=(j-1)/(sizeof(long)/sizeof(Exponent_t)); |
---|
2760 | j=j0+1; |
---|
2761 | |
---|
2762 | // fill in some empty slots with variables not already covered |
---|
2763 | for(i=0 ; i<r->N+1 ; i++) |
---|
2764 | { |
---|
2765 | if(v[i]==(-1)) |
---|
2766 | { |
---|
2767 | if (prev_ordsgn==1) |
---|
2768 | { |
---|
2769 | rO_LexVars(j, i,i, prev_ordsgn,tmp_ordsgn,v); |
---|
2770 | } |
---|
2771 | else |
---|
2772 | { |
---|
2773 | rO_LexVars_neg(j, i,i, prev_ordsgn,tmp_ordsgn,v); |
---|
2774 | } |
---|
2775 | } |
---|
2776 | } |
---|
2777 | |
---|
2778 | #ifdef LONG_MONOMS |
---|
2779 | // find out where we need duplicate variables (for divisibility tests) |
---|
2780 | for(i=1 ; i<r->N+1 ; i++) |
---|
2781 | { |
---|
2782 | if(v[i]<r->pVarLowIndex) |
---|
2783 | { |
---|
2784 | int start=i; |
---|
2785 | while((i<r->N) && (v[i+1]<r->pVarLowIndex)) i++; |
---|
2786 | tmp_typ[typ_i].ord_typ=ro_cp; |
---|
2787 | tmp_typ[typ_i].data.cp.place=j; |
---|
2788 | tmp_typ[typ_i].data.cp.start=start; |
---|
2789 | tmp_typ[typ_i].data.cp.end=i; |
---|
2790 | rO_DupVars(j, start,i); |
---|
2791 | typ_i++; |
---|
2792 | } |
---|
2793 | } |
---|
2794 | #endif |
---|
2795 | |
---|
2796 | r->pVarHighIndex=j-1; |
---|
2797 | rO_Align(j); |
---|
2798 | // ---------------------------- |
---|
2799 | // finished with constructing the monomial, computing sizes: |
---|
2800 | |
---|
2801 | r->ExpESize=j; |
---|
2802 | r->ExpLSize=j/(sizeof(long)/sizeof(Exponent_t)); |
---|
2803 | r->mm_specHeap = mmGetSpecHeap(POLYSIZE + (r->ExpLSize)*sizeof(long)); |
---|
2804 | if (r->mm_specHeap == NULL) |
---|
2805 | { |
---|
2806 | // monomial too large, clean up |
---|
2807 | Free((ADDRESS)tmp_ordsgn,(2*(n+r->N)*sizeof(long))); |
---|
2808 | Free((ADDRESS)tmp_typ,(2*(n+r->N)*sizeof(sro_ord))); |
---|
2809 | Free((ADDRESS)v,(r->N+1)*sizeof(int)); |
---|
2810 | return TRUE; |
---|
2811 | } |
---|
2812 | |
---|
2813 | |
---|
2814 | // ---------------------------- |
---|
2815 | // indices and ordsgn vector for comparison |
---|
2816 | // |
---|
2817 | #ifndef WORDS_BIGENDIAN |
---|
2818 | r->pCompLowIndex = r->ExpLSize - 1 - r->pCompHighIndex; |
---|
2819 | r->pCompHighIndex = r->ExpLSize - 1; |
---|
2820 | #else |
---|
2821 | r->pCompLowIndex=0; |
---|
2822 | // r->pCompHighIndex already set |
---|
2823 | #endif |
---|
2824 | r->pCompLSize = r->pCompHighIndex - r->pCompLowIndex + 1; |
---|
2825 | r->ordsgn=(long *)Alloc(r->pCompLSize*sizeof(long)); |
---|
2826 | |
---|
2827 | for(j=r->pCompLowIndex;j<=r->pCompHighIndex;j++) |
---|
2828 | { |
---|
2829 | r->ordsgn[r->pCompLSize - (j - r->pCompLowIndex) - 1] |
---|
2830 | = tmp_ordsgn[j-r->pCompLowIndex]; |
---|
2831 | } |
---|
2832 | |
---|
2833 | Free((ADDRESS)tmp_ordsgn,(2*(n+r->N)*sizeof(long))); |
---|
2834 | |
---|
2835 | // ---------------------------- |
---|
2836 | // description of orderings for setm: |
---|
2837 | // |
---|
2838 | r->OrdSize=typ_i; |
---|
2839 | if (typ_i==0) r->typ=NULL; |
---|
2840 | else |
---|
2841 | { |
---|
2842 | r->typ=(sro_ord*)Alloc(typ_i*sizeof(sro_ord)); |
---|
2843 | memcpy(r->typ,tmp_typ,typ_i*sizeof(sro_ord)); |
---|
2844 | } |
---|
2845 | Free((ADDRESS)tmp_typ,(2*(n+r->N)*sizeof(sro_ord))); |
---|
2846 | |
---|
2847 | #ifndef WORDS_BIGENDIAN |
---|
2848 | // LITTLE_ENDIAN: revert some stuff in r->typ |
---|
2849 | for(j=r->OrdSize-1;j>=0;j--) |
---|
2850 | { |
---|
2851 | if(r->typ[j].ord_typ==ro_cp) |
---|
2852 | { |
---|
2853 | int end_place=r->typ[j].data.cp.place |
---|
2854 | +r->typ[j].data.cp.end-r->typ[j].data.cp.start; |
---|
2855 | r->typ[j].data.cp.place=r->ExpESize-end_place-1; |
---|
2856 | } |
---|
2857 | //else if(r->typ[j].ord_typ==ro_syzcomp) |
---|
2858 | //{ |
---|
2859 | // int place=r->typ[j].data.syzcomp.place; |
---|
2860 | // r->typ[j].data.syzcomp.place=r->ExpLSize-place-1; |
---|
2861 | //} |
---|
2862 | else |
---|
2863 | { |
---|
2864 | int new_index=r->ExpLSize-r->typ[j].data.dp.place-1; |
---|
2865 | r->typ[j].data.dp.place=new_index; |
---|
2866 | } |
---|
2867 | } |
---|
2868 | #endif |
---|
2869 | |
---|
2870 | // ---------------------------- |
---|
2871 | // indices for (first copy of ) variable entries in exp.e vector (VarOffset): |
---|
2872 | #ifdef WORDS_BIGENDIAN |
---|
2873 | // BIGENDIAN: |
---|
2874 | r->VarOffset=v; |
---|
2875 | #else |
---|
2876 | // LITTLE-Endian: revert |
---|
2877 | r->VarOffset=(int *)Alloc((r->N+1)*sizeof(int)); |
---|
2878 | for(j=r->N;j>=0;j--) |
---|
2879 | { |
---|
2880 | r->VarOffset[j]=r->ExpESize-v[j]-1; |
---|
2881 | } |
---|
2882 | Free((ADDRESS)v,(r->N+1)*sizeof(int)); |
---|
2883 | j=r->pVarLowIndex; |
---|
2884 | r->pVarLowIndex=r->ExpESize-r->pVarHighIndex-1; |
---|
2885 | r->pVarHighIndex=r->ExpESize-j-1; |
---|
2886 | #endif |
---|
2887 | |
---|
2888 | // ---------------------------- |
---|
2889 | // other indicies |
---|
2890 | r->pDivLow=r->pVarLowIndex/(sizeof(long)/sizeof(Exponent_t)); |
---|
2891 | r->pDivHigh=r->pVarHighIndex/(sizeof(long)/sizeof(Exponent_t)); |
---|
2892 | r->pCompIndex=r->VarOffset[0]; |
---|
2893 | #ifdef WORDS_BIGENDIAN |
---|
2894 | if(r->pCompIndex==0) r->pOrdIndex=1; |
---|
2895 | else r->pOrdIndex=0; |
---|
2896 | #else |
---|
2897 | if(r->pCompIndex==r->ExpESize-1) r->pOrdIndex=r->ExpLSize-2; |
---|
2898 | else r->pOrdIndex=r->ExpLSize-1; |
---|
2899 | #endif |
---|
2900 | rTest(r); |
---|
2901 | return FALSE; |
---|
2902 | } |
---|
2903 | #endif |
---|
2904 | |
---|
2905 | void rUnComplete(ring r) |
---|
2906 | { |
---|
2907 | Free((ADDRESS)r->VarOffset, (r->N +1)*sizeof(int)); |
---|
2908 | if (r->OrdSize!=0) |
---|
2909 | { |
---|
2910 | Free((ADDRESS)r->typ,r->OrdSize*sizeof(sro_ord)); |
---|
2911 | } |
---|
2912 | Free((ADDRESS)r->ordsgn,r->pCompLSize*sizeof(long)); |
---|
2913 | } |
---|
2914 | |
---|
2915 | |
---|
2916 | #if 0 |
---|
2917 | /*2 |
---|
2918 | * create a copy of the ring r, which must be equivalent to currRing |
---|
2919 | * used for qring definition,.. |
---|
2920 | * (i.e.: normal rings: same nCopy as currRing; |
---|
2921 | * qring: same nCopy, same idCopy as currRing) |
---|
2922 | */ |
---|
2923 | ring rCopyAndAddSComps(ring r) |
---|
2924 | { |
---|
2925 | int i,j; |
---|
2926 | int *pi; |
---|
2927 | ring res=(ring)Alloc(sizeof(ip_sring)); |
---|
2928 | |
---|
2929 | memcpy4(res,r,sizeof(ip_sring)); |
---|
2930 | res->ref=0; |
---|
2931 | if (r->parameter!=NULL) |
---|
2932 | { |
---|
2933 | res->minpoly=nCopy(r->minpoly); |
---|
2934 | int l=rPar(r); |
---|
2935 | res->parameter=(char **)Alloc(l*sizeof(char *)); |
---|
2936 | int i; |
---|
2937 | for(i=0;i<r->P;i++) |
---|
2938 | { |
---|
2939 | res->parameter[i]=mstrdup(r->parameter[i]); |
---|
2940 | } |
---|
2941 | } |
---|
2942 | res->names = (char **)Alloc(r->N * sizeof(char *)); |
---|
2943 | i=1; // ringorder_C -> ringorder_S |
---|
2944 | pi=r->order; |
---|
2945 | while ((*pi)!=0) { i++;pi++; } |
---|
2946 | res->wvhdl = (int **)Alloc(i * sizeof(int *)); |
---|
2947 | res->order = (int *) Alloc(i * sizeof(int)); |
---|
2948 | res->block0 = (int *) Alloc(i * sizeof(int)); |
---|
2949 | res->block1 = (int *) Alloc(i * sizeof(int)); |
---|
2950 | for (j=0; j<i; j++) |
---|
2951 | { |
---|
2952 | if (r->wvhdl[j]!=NULL) |
---|
2953 | { |
---|
2954 | res->wvhdl[j]=(int*)AllocL(mmSizeL((ADDRESS)r->wvhdl[j])); |
---|
2955 | memcpy(res->wvhdl[j],r->wvhdl[j],mmSizeL((ADDRESS)r->wvhdl[j])); |
---|
2956 | } |
---|
2957 | else |
---|
2958 | res->wvhdl[j]=NULL; |
---|
2959 | } |
---|
2960 | memcpy4(res->order+1,r->order,i * sizeof(int)); |
---|
2961 | memcpy4(res->block0+1,r->block0,i * sizeof(int)); |
---|
2962 | memcpy4(res->block1+1,r->block1,i * sizeof(int)); |
---|
2963 | for (i=0; i<res->N; i++) |
---|
2964 | { |
---|
2965 | res->names[i] = mstrdup(r->names[i]); |
---|
2966 | } |
---|
2967 | res->idroot = NULL; |
---|
2968 | if (r->qideal!=NULL) res->qideal= idCopy(r->qideal); |
---|
2969 | // add the additional ordering: |
---|
2970 | res->order[1]=ringorder_S; |
---|
2971 | res->block0[1]=1; |
---|
2972 | res->block1[1]=0; // block1-block0 is the length |
---|
2973 | res->wvhdl[1]=NULL; |
---|
2974 | rComplete(res, 1); |
---|
2975 | return res; |
---|
2976 | } |
---|
2977 | #endif |
---|
2978 | |
---|
2979 | /*2 |
---|
2980 | * asssume that rComplete was called with r |
---|
2981 | * assume that the first block ist ringorder_S |
---|
2982 | * change the block to reflect the sequence given by appending v |
---|
2983 | */ |
---|
2984 | |
---|
2985 | #ifdef PDEBUG |
---|
2986 | void rDBChangeSComps(int* currComponents, |
---|
2987 | long* currShiftedComponents, |
---|
2988 | int length, |
---|
2989 | ring r) |
---|
2990 | { |
---|
2991 | r->typ[1].data.syzcomp.length = length; |
---|
2992 | rNChangeSComps( currComponents, currShiftedComponents, r); |
---|
2993 | } |
---|
2994 | void rDBGetSComps(int** currComponents, |
---|
2995 | long** currShiftedComponents, |
---|
2996 | int *length, |
---|
2997 | ring r) |
---|
2998 | { |
---|
2999 | *length = r->typ[1].data.syzcomp.length; |
---|
3000 | rNGetSComps( currComponents, currShiftedComponents, r); |
---|
3001 | } |
---|
3002 | #endif |
---|
3003 | |
---|
3004 | void rNChangeSComps(int* currComponents, long* currShiftedComponents, ring r) |
---|
3005 | { |
---|
3006 | assume(r->order[1]==ringorder_S); |
---|
3007 | |
---|
3008 | r->typ[1].data.syzcomp.ShiftedComponents = currShiftedComponents; |
---|
3009 | r->typ[1].data.syzcomp.Components = currComponents; |
---|
3010 | } |
---|
3011 | |
---|
3012 | void rNGetSComps(int** currComponents, long** currShiftedComponents, ring r) |
---|
3013 | { |
---|
3014 | assume(r->order[1]==ringorder_S); |
---|
3015 | |
---|
3016 | *currShiftedComponents = r->typ[1].data.syzcomp.ShiftedComponents; |
---|
3017 | *currComponents = r->typ[1].data.syzcomp.Components; |
---|
3018 | } |
---|