1 | /**************************************** |
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2 | * Computer Algebra System SINGULAR * |
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3 | ****************************************/ |
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4 | /* |
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5 | * ABSTRACT - the mapping of polynomials to other rings |
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6 | */ |
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7 | #define TRANSEXT_PRIVATES |
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8 | |
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9 | |
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10 | |
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11 | |
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12 | #include <kernel/mod2.h> |
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13 | #include <omalloc/omalloc.h> |
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14 | |
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15 | #include <coeffs/numbers.h> |
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16 | #include <coeffs/coeffs.h> |
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17 | |
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18 | #include <polys/monomials/ring.h> |
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19 | #include <polys/monomials/maps.h> |
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20 | #include <polys/matpol.h> |
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21 | #include <polys/prCopy.h> |
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22 | #include <polys/ext_fields/transext.h> |
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23 | |
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24 | //#include <polys/ext_fields/longtrans.h> |
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25 | // #include <kernel/longalg.h> |
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26 | |
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27 | #include <kernel/GBEngine/kstd1.h> |
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28 | |
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29 | #include "maps_ip.h" |
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30 | #include "ipid.h" |
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31 | |
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32 | |
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33 | #include "lists.h" |
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34 | #include "tok.h" |
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35 | |
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36 | /* debug output: Tok2Cmdname in maApplyFetch*/ |
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37 | #include "ipshell.h" |
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38 | |
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39 | /*2 |
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40 | * maps the expression w to res, |
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41 | * switch what: MAP_CMD: use theMap for mapping, N for preimage ring |
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42 | * //FETCH_CMD: use pOrdPoly for mapping |
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43 | * IMAP_CMD: use perm for mapping, N for preimage ring |
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44 | * default: map only poly-structures, |
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45 | * use perm and par_perm, N and P, |
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46 | */ |
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47 | BOOLEAN maApplyFetch(int what,map theMap,leftv res, leftv w, ring preimage_r, |
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48 | int *perm, int *par_perm, int P, nMapFunc nMap) |
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49 | { |
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50 | int i; |
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51 | int N = preimage_r->N; |
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52 | #if 0 |
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53 | Print("N=%d what=%s ",N,Tok2Cmdname(what)); |
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54 | if (perm!=NULL) for(i=1;i<=N;i++) Print("%d -> %d ",i,perm[i]); |
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55 | PrintS("\n"); |
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56 | Print("P=%d ",P); |
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57 | if (par_perm!=NULL) for(i=0;i<P;i++) Print("%d -> %d ",i,par_perm[i]); |
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58 | PrintS("\n"); |
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59 | #endif |
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60 | |
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61 | void *data=w->Data(); |
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62 | res->rtyp = w->rtyp; |
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63 | switch (w->rtyp) |
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64 | { |
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65 | case NUMBER_CMD: |
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66 | if (P!=0) |
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67 | { |
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68 | // poly n_PermNumber(const number z, const int *par_perm, const int OldPar, const ring src, const ring dst); |
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69 | res->data= (void *) n_PermNumber((number)data, par_perm, P, preimage_r, currRing); |
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70 | res->rtyp=POLY_CMD; |
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71 | if (nCoeff_is_algExt(currRing->cf)) |
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72 | res->data=(void *)p_MinPolyNormalize((poly)res->data, currRing); |
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73 | pTest((poly) res->data); |
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74 | } |
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75 | else |
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76 | { |
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77 | assume( nMap != NULL ); |
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78 | number a = nMap((number)data, preimage_r->cf, currRing->cf); |
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79 | if (nCoeff_is_Extension(currRing->cf)) |
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80 | { |
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81 | n_Normalize(a, currRing->cf); |
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82 | /* |
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83 | number a = (number)res->data; |
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84 | number one = nInit(1); |
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85 | number product = nMult(a, one ); |
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86 | nDelete(&one); |
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87 | nDelete(&a); |
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88 | res->data=(void *)product; |
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89 | */ |
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90 | } |
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91 | #ifdef LDEBUG |
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92 | n_Test(a, currRing->cf); |
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93 | #endif |
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94 | res->data=(void *)a; |
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95 | |
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96 | } |
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97 | break; |
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98 | case POLY_CMD: |
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99 | case VECTOR_CMD: |
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100 | if ((what==FETCH_CMD)&& (preimage_r->cf==currRing->cf)) |
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101 | res->data=(void *)prCopyR( (poly)data, preimage_r, currRing); |
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102 | else |
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103 | if ( (what==IMAP_CMD) || /*(*/ (what==FETCH_CMD) /*)*/) /* && (nMap!=nCopy)*/ |
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104 | res->data=(void *)p_PermPoly((poly)data,perm,preimage_r,currRing, nMap,par_perm,P); |
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105 | else /*if (what==MAP_CMD)*/ |
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106 | { |
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107 | p_Test((poly)data,preimage_r); |
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108 | matrix s=mpNew(N,maMaxDeg_P((poly)data, preimage_r)); |
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109 | res->data=(void *)maEval(theMap, (poly)data, preimage_r, nMap, (ideal)s, currRing); |
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110 | idDelete((ideal *)&s); |
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111 | } |
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112 | if (nCoeff_is_Extension(currRing->cf)) |
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113 | res->data=(void *)p_MinPolyNormalize((poly)res->data, currRing); |
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114 | pTest((poly)res->data); |
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115 | break; |
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116 | case MODUL_CMD: |
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117 | case MATRIX_CMD: |
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118 | case IDEAL_CMD: |
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119 | case MAP_CMD: |
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120 | { |
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121 | int C=((matrix)data)->cols(); |
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122 | int R; |
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123 | if (w->rtyp==MAP_CMD) R=1; |
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124 | else R=((matrix)data)->rows(); |
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125 | matrix m=mpNew(R,C); |
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126 | char *tmpR=NULL; |
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127 | if(w->rtyp==MAP_CMD) |
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128 | { |
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129 | tmpR=((map)data)->preimage; |
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130 | ((matrix)data)->rank=((matrix)data)->rows(); |
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131 | } |
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132 | if ((what==FETCH_CMD)&& (preimage_r->cf == currRing->cf)) |
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133 | { |
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134 | for (i=R*C-1;i>=0;i--) |
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135 | { |
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136 | m->m[i]=prCopyR(((ideal)data)->m[i], preimage_r, currRing); |
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137 | pTest(m->m[i]); |
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138 | } |
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139 | } |
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140 | else if ((what==IMAP_CMD) || (what==FETCH_CMD)) |
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141 | { |
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142 | for (i=R*C-1;i>=0;i--) |
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143 | { |
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144 | m->m[i]=p_PermPoly(((ideal)data)->m[i],perm,preimage_r,currRing, |
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145 | nMap,par_perm,P); |
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146 | pTest(m->m[i]); |
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147 | } |
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148 | } |
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149 | else /* (what==MAP_CMD) */ |
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150 | { |
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151 | assume(what==MAP_CMD); |
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152 | matrix s=mpNew(N,maMaxDeg_Ma((ideal)data,preimage_r)); |
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153 | for (i=R*C-1;i>=0;i--) |
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154 | { |
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155 | m->m[i]=maEval(theMap, ((ideal)data)->m[i], preimage_r, nMap, (ideal)s, currRing); |
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156 | pTest(m->m[i]); |
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157 | } |
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158 | idDelete((ideal *)&s); |
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159 | } |
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160 | if (nCoeff_is_algExt(currRing->cf)) |
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161 | { |
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162 | for (i=R*C-1;i>=0;i--) |
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163 | { |
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164 | m->m[i]=p_MinPolyNormalize(m->m[i], currRing); |
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165 | pTest(m->m[i]); |
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166 | } |
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167 | } |
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168 | if(w->rtyp==MAP_CMD) |
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169 | { |
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170 | ((map)data)->preimage=tmpR; |
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171 | ((map)m)->preimage=omStrDup(tmpR); |
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172 | } |
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173 | else |
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174 | { |
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175 | m->rank=((matrix)data)->rank; |
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176 | } |
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177 | res->data=(char *)m; |
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178 | idTest((ideal) m); |
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179 | break; |
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180 | } |
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181 | |
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182 | case LIST_CMD: |
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183 | { |
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184 | lists l=(lists)data; |
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185 | lists ml=(lists)omAllocBin(slists_bin); |
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186 | ml->Init(l->nr+1); |
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187 | for(i=0;i<=l->nr;i++) |
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188 | { |
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189 | if (((l->m[i].rtyp>BEGIN_RING)&&(l->m[i].rtyp<END_RING)) |
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190 | ||(l->m[i].rtyp==LIST_CMD)) |
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191 | { |
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192 | if (maApplyFetch(what,theMap,&ml->m[i],&l->m[i], |
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193 | preimage_r,perm,par_perm,P,nMap)) |
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194 | { |
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195 | ml->Clean(); |
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196 | omFreeBin((ADDRESS)ml, slists_bin); |
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197 | res->rtyp=0; |
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198 | return TRUE; |
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199 | } |
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200 | } |
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201 | else |
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202 | { |
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203 | ml->m[i].Copy(&l->m[i]); |
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204 | } |
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205 | } |
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206 | res->data=(char *)ml; |
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207 | break; |
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208 | } |
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209 | default: |
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210 | { |
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211 | return TRUE; |
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212 | } |
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213 | } |
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214 | return FALSE; |
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215 | } |
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216 | |
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217 | /*2 |
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218 | * substitutes the parameter par (from 1..N) by image, |
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219 | * does not destroy p and image |
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220 | */ |
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221 | poly pSubstPar(poly p, int par, poly image) |
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222 | { |
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223 | const ring R = currRing->cf->extRing; |
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224 | ideal theMapI = idInit(rPar(currRing),1); |
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225 | nMapFunc nMap = n_SetMap(R->cf, currRing->cf); |
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226 | int i; |
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227 | for(i = rPar(currRing);i>0;i--) |
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228 | { |
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229 | if (i != par) |
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230 | theMapI->m[i-1]= p_NSet(n_Param(i, currRing), currRing); |
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231 | else |
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232 | theMapI->m[i-1] = p_Copy(image, currRing); |
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233 | p_Test(theMapI->m[i-1],currRing); |
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234 | } |
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235 | //iiWriteMatrix((matrix)theMapI,"map:",1,currRing,0); |
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236 | |
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237 | map theMap=(map)theMapI; |
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238 | theMap->preimage=NULL; |
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239 | |
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240 | leftv v=(leftv)omAllocBin(sleftv_bin); |
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241 | sleftv tmpW; |
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242 | poly res=NULL; |
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243 | |
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244 | p_Normalize(p,currRing); |
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245 | if (currRing->cf->rep==n_rep_rat_fct ) |
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246 | { |
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247 | while (p!=NULL) |
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248 | { |
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249 | memset(v,0,sizeof(sleftv)); |
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250 | |
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251 | number d = n_GetDenom(p_GetCoeff(p, currRing), currRing); |
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252 | p_Test((poly)NUM((fraction)d), R); |
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253 | |
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254 | if ( n_IsOne (d, currRing->cf) ) |
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255 | { |
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256 | n_Delete(&d, currRing); d = NULL; |
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257 | } |
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258 | else if (!p_IsConstant((poly)NUM((fraction)d), R)) |
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259 | { |
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260 | WarnS("ignoring denominators of coefficients..."); |
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261 | n_Delete(&d, currRing); d = NULL; |
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262 | } |
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263 | |
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264 | number num = n_GetNumerator(p_GetCoeff(p, currRing), currRing); |
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265 | memset(&tmpW,0,sizeof(sleftv)); |
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266 | tmpW.rtyp = POLY_CMD; |
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267 | p_Test((poly)NUM((fraction)num), R); |
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268 | |
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269 | tmpW.data = NUM ((fraction)num); // a copy of this poly will be used |
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270 | |
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271 | p_Normalize(NUM((fraction)num),R); |
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272 | if (maApplyFetch(MAP_CMD,theMap,v,&tmpW,R,NULL,NULL,0,nMap)) |
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273 | { |
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274 | WerrorS("map failed"); |
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275 | v->data=NULL; |
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276 | } |
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277 | n_Delete(&num, currRing); |
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278 | //TODO check for memory leaks |
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279 | poly pp = pHead(p); |
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280 | //PrintS("map:");pWrite(pp); |
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281 | if( d != NULL ) |
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282 | { |
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283 | pSetCoeff(pp, n_Invers(d, currRing->cf)); |
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284 | n_Delete(&d, currRing); // d = NULL; |
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285 | } |
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286 | else |
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287 | pSetCoeff(pp, nInit(1)); |
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288 | |
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289 | //PrintS("->");pWrite((poly)(v->data)); |
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290 | poly ppp = pMult((poly)(v->data),pp); |
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291 | //PrintS("->");pWrite(ppp); |
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292 | res=pAdd(res,ppp); |
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293 | pIter(p); |
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294 | } |
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295 | } |
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296 | else if (currRing->cf->rep==n_rep_poly ) |
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297 | { |
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298 | while (p!=NULL) |
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299 | { |
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300 | memset(v,0,sizeof(sleftv)); |
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301 | |
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302 | number num = n_GetNumerator(p_GetCoeff(p, currRing), currRing); |
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303 | memset(&tmpW,0,sizeof(sleftv)); |
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304 | tmpW.rtyp = POLY_CMD; |
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305 | p_Test((poly)num, R); |
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306 | |
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307 | |
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308 | p_Normalize((poly)num,R); |
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309 | if (num==NULL) num=(number)R->qideal->m[0]; |
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310 | tmpW.data = num; // a copy of this poly will be used |
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311 | if (maApplyFetch(MAP_CMD,theMap,v,&tmpW,R,NULL,NULL,0,nMap)) |
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312 | { |
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313 | WerrorS("map failed"); |
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314 | v->data=NULL; |
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315 | } |
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316 | if (num!=(number)R->qideal->m[0]) n_Delete(&num, currRing); |
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317 | //TODO check for memory leaks |
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318 | poly pp = pHead(p); |
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319 | //PrintS("map:");pWrite(pp); |
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320 | pSetCoeff(pp,n_Init(1,currRing)); |
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321 | //PrintS("cf->");pWrite((poly)(v->data)); |
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322 | poly ppp = pMult((poly)(v->data),pp); |
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323 | //PrintS("->");pWrite(ppp); |
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324 | res=pAdd(res,ppp); |
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325 | pIter(p); |
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326 | } |
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327 | } |
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328 | else |
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329 | { |
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330 | WerrorS("cannot apply subst for these coeffcients"); |
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331 | } |
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332 | idDelete((ideal *)(&theMap)); |
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333 | omFreeBin((ADDRESS)v, sleftv_bin); |
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334 | return res; |
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335 | } |
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336 | |
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337 | /*2 |
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338 | * substitute the n-th parameter by the poly e in id |
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339 | * does not destroy id and e |
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340 | */ |
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341 | ideal idSubstPar(ideal id, int n, poly e) |
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342 | { |
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343 | int k=MATROWS((matrix)id)*MATCOLS((matrix)id); |
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344 | ideal res=(ideal)mpNew(MATROWS((matrix)id),MATCOLS((matrix)id)); |
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345 | |
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346 | res->rank = id->rank; |
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347 | for(k--;k>=0;k--) |
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348 | { |
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349 | res->m[k]=pSubstPar(id->m[k],n,e); |
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350 | } |
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351 | return res; |
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352 | } |
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353 | |
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354 | /*2 |
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355 | * substitutes the variable var (from 1..N) by image, |
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356 | * does not destroy p and image |
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357 | */ |
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358 | poly pSubstPoly(poly p, int var, poly image) |
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359 | { |
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360 | if (p==NULL) return NULL; |
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361 | #ifdef HAVE_PLURAL |
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362 | if (rIsPluralRing(currRing)) |
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363 | { |
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364 | return pSubst(pCopy(p),var,image); |
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365 | } |
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366 | #endif |
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367 | map theMap=(map)idMaxIdeal(1); |
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368 | theMap->preimage=NULL; |
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369 | pDelete(&(theMap->m[var-1])); |
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370 | theMap->m[var-1]=pCopy(image); |
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371 | |
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372 | sleftv tmpW; |
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373 | memset(&tmpW,0,sizeof(sleftv)); |
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374 | tmpW.rtyp=POLY_CMD; |
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375 | tmpW.data=p; |
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376 | leftv v=(leftv)omAlloc0Bin(sleftv_bin); |
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377 | if (maApplyFetch(MAP_CMD,theMap,v,&tmpW,currRing,NULL,NULL,0, |
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378 | n_SetMap(currRing->cf, currRing->cf))) |
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379 | { |
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380 | WerrorS("map failed"); |
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381 | v->data=NULL; |
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382 | } |
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383 | poly res=(poly)(v->data); |
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384 | omFreeBin((ADDRESS)v, sleftv_bin); |
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385 | idDelete((ideal *)(&theMap)); |
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386 | return res; |
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387 | } |
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388 | |
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389 | /*2 |
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390 | * substitute the n-th variable by the poly e in id |
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391 | * does not destroy id and e |
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392 | */ |
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393 | ideal idSubstPoly(ideal id, int n, poly e) |
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394 | { |
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395 | |
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396 | #ifdef HAVE_PLURAL |
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397 | if (rIsPluralRing(currRing)) |
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398 | { |
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399 | int k=MATROWS((matrix)id)*MATCOLS((matrix)id); |
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400 | ideal res=(ideal)mpNew(MATROWS((matrix)id),MATCOLS((matrix)id)); |
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401 | res->rank = id->rank; |
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402 | for(k--;k>=0;k--) |
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403 | { |
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404 | res->m[k]=pSubst(pCopy(id->m[k]),n,e); |
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405 | } |
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406 | return res; |
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407 | } |
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408 | #endif |
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409 | map theMap=(map)idMaxIdeal(1); |
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410 | theMap->preimage=NULL; |
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411 | pDelete(&(theMap->m[n-1])); |
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412 | theMap->m[n-1]=pCopy(e); |
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413 | |
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414 | leftv v=(leftv)omAlloc0Bin(sleftv_bin); |
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415 | sleftv tmpW; |
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416 | memset(&tmpW,0,sizeof(sleftv)); |
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417 | tmpW.rtyp=IDEAL_CMD; |
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418 | tmpW.data=id; |
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419 | if (maApplyFetch(MAP_CMD,theMap,v,&tmpW,currRing,NULL,NULL,0, |
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420 | n_SetMap(currRing->cf, currRing->cf))) |
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421 | { |
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422 | WerrorS("map failed"); |
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423 | v->data=NULL; |
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424 | } |
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425 | ideal res=(ideal)(v->data); |
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426 | idDelete((ideal *)(&theMap)); |
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427 | omFreeBin((ADDRESS)v, sleftv_bin); |
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428 | return res; |
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429 | } |
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