1 | #ifndef STRUCTS_H |
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2 | #define STRUCTS_H |
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3 | /**************************************** |
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4 | * Computer Algebra System SINGULAR * |
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5 | ****************************************/ |
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6 | /* $Id$ */ |
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7 | /* |
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8 | * ABSTRACT |
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9 | */ |
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10 | |
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11 | #include <string.h> /* for memset */ |
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12 | #ifdef HAVE_RINGS |
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13 | #include <si_gmp.h> |
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14 | #endif |
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15 | |
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16 | #ifndef NATNUMBER |
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17 | #define NATNUMBER unsigned long |
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18 | #endif |
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19 | |
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20 | /* standard types */ |
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21 | typedef unsigned char uchar; |
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22 | typedef unsigned short CARDINAL; |
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23 | #ifdef HAVE_RINGS |
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24 | typedef MP_INT *int_number; |
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25 | #endif |
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26 | #if (SIZEOF_LONG == 8) |
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27 | typedef int BOOLEAN; |
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28 | /* testet on x86_64, gcc 3.4.6: 2 % */ |
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29 | /* testet on IA64, gcc 3.4.6: 1 % */ |
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30 | #else |
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31 | /* testet on athlon, gcc 2.95.4: 1 % */ |
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32 | typedef short BOOLEAN; |
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33 | #endif |
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34 | |
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35 | typedef void * Sy_reference; |
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36 | #define ADDRESS Sy_reference |
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37 | #define BITSET unsigned int |
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38 | |
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39 | /* EXPONENT_TYPE is determined by configure und defined in mod2.h */ |
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40 | |
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41 | #if defined(SI_CPU_I386) || defined(SI_CPU_X86_64) |
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42 | // the following settings seems to be better on i386 and x86_64 processors |
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43 | // define if a*b is with mod instead of tables |
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44 | #define HAVE_MULT_MOD |
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45 | // #define HAVE_GENERIC_ADD |
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46 | // #ifdef HAVE_MULT_MOD |
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47 | // #define HAVE_DIV_MOD |
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48 | // #endif |
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49 | #elif defined(SI_CPU_IA64) |
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50 | // the following settings seems to be better on itanium processors |
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51 | // #define HAVE_MULT_MOD |
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52 | #define HAVE_GENERIC_ADD |
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53 | // #ifdef HAVE_MULT_MOD |
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54 | // #define HAVE_DIV_MOD |
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55 | // #endif |
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56 | #elif defined(SI_CPU_SPARC) |
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57 | // #define HAVE_GENERIC_ADD |
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58 | #define HAVE_MULT_MOD |
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59 | #ifdef HAVE_MULT_MOD |
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60 | #define HAVE_DIV_MOD |
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61 | #endif |
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62 | #elif defined(SI_CPU_PPC) |
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63 | // the following settings seems to be better on ppc processors |
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64 | // testet on: ppc_Linux, 740/750 PowerMac G3, 512k L2 cache |
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65 | #define HAVE_MULT_MOD |
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66 | // #ifdef HAVE_MULT_MOD |
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67 | // #define HAVE_DIV_MOD |
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68 | // #endif |
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69 | #endif |
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70 | |
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71 | #if SIZEOF_LONG == 4 |
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72 | typedef long long int64; |
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73 | #elif SIZEOF_LONG == 8 |
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74 | typedef long int64; |
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75 | #else |
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76 | #error int64 undefined |
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77 | #endif |
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78 | |
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79 | |
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80 | typedef long Exponent_t; |
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81 | typedef long Order_t; |
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82 | |
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83 | enum tHomog |
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84 | { |
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85 | isNotHomog = FALSE, |
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86 | isHomog = TRUE, |
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87 | testHomog |
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88 | }; |
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89 | enum noeof_t |
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90 | { |
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91 | noeof_brace = 1, |
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92 | noeof_asstring, |
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93 | noeof_block, |
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94 | noeof_bracket, |
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95 | noeof_comment, |
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96 | noeof_procname, |
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97 | noeof_string |
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98 | }; |
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99 | |
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100 | enum n_coeffType |
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101 | { |
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102 | n_unknown=0, |
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103 | n_Zp, |
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104 | n_Q, |
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105 | n_R, |
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106 | n_GF, |
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107 | n_long_R, |
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108 | n_Zp_a, |
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109 | n_Q_a, |
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110 | n_long_C |
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111 | }; |
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112 | |
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113 | // #ifdef HAVE_PLURAL |
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114 | enum nc_type |
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115 | { |
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116 | nc_error = -1, // Something's gone wrong! |
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117 | nc_general = 0, /* yx=q xy+... */ |
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118 | nc_skew, /*1*/ /* yx=q xy */ |
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119 | nc_comm, /*2*/ /* yx= xy */ |
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120 | nc_lie, /*3*/ /* yx=xy+... */ |
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121 | nc_undef, /*4*/ /* for internal reasons */ |
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122 | |
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123 | nc_exterior /*5*/ // Exterior Algebra(SCA): yx= -xy & (!:) x^2 = 0 |
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124 | }; |
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125 | // #endif |
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126 | |
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127 | typedef enum { LT_NONE, LT_NOTFOUND, LT_SINGULAR, LT_ELF, LT_HPUX, LT_MACH_O} lib_types; |
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128 | |
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129 | struct snumber; |
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130 | typedef struct snumber * number; |
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131 | typedef number (*numberfunc)(number a,number b); |
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132 | typedef number (*nMapFunc)(number a); |
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133 | |
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134 | /* C++-part */ |
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135 | #ifdef __cplusplus |
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136 | class ip_smatrix; |
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137 | class idrec; |
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138 | class intvec; |
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139 | class sleftv; |
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140 | class slists; |
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141 | class sattr; |
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142 | class skStrategy; |
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143 | class ssyStrategy; |
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144 | class procinfo; |
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145 | class kBucket; |
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146 | class sBucket; |
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147 | class CPolynomialSummator; |
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148 | class CGlobalMultiplier; |
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149 | class CFormulaPowerMultiplier; |
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150 | #endif |
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151 | |
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152 | struct n_Procs_s; |
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153 | struct sip_sring; |
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154 | struct sip_sideal; |
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155 | struct sip_link; |
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156 | struct spolynom; |
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157 | struct _ssubexpr; |
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158 | struct _sssym; |
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159 | struct sip_command; |
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160 | struct sip_package; |
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161 | struct s_si_link_extension; |
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162 | |
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163 | typedef struct n_Procs_s n_Procs_s; |
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164 | |
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165 | // #ifdef HAVE_PLURAL |
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166 | struct nc_struct; |
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167 | typedef struct nc_struct nc_struct; |
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168 | // #endif |
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169 | |
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170 | typedef struct _ssubexpr sSubexpr; |
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171 | typedef struct _sssym ssym; |
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172 | typedef struct spolyrec polyrec; |
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173 | typedef struct sip_sideal ip_sideal; |
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174 | typedef struct sip_smap ip_smap; |
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175 | typedef struct sip_sring ip_sring; |
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176 | typedef struct sip_link ip_link; |
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177 | typedef struct sip_command ip_command; |
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178 | typedef struct sip_package ip_package; |
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179 | |
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180 | /* the pointer types */ |
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181 | typedef char * char_ptr; |
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182 | typedef int * int_ptr; |
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183 | typedef short * short_ptr; |
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184 | typedef ip_sring * ring; |
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185 | typedef int idtyp; |
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186 | typedef polyrec * poly; |
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187 | typedef poly * polyset; |
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188 | typedef ip_sideal * ideal; |
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189 | typedef ip_smap * map; |
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190 | typedef struct sideal_list * ideal_list; |
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191 | typedef ideal * resolvente; |
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192 | typedef union uutypes utypes; |
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193 | typedef ip_command * command; |
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194 | typedef struct s_si_link_extension *si_link_extension; |
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195 | typedef polyrec * napoly; |
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196 | |
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197 | #ifdef __cplusplus |
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198 | typedef idrec * idhdl; |
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199 | typedef ip_smatrix * matrix; |
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200 | typedef ip_link * si_link; |
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201 | typedef sleftv * leftv; |
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202 | typedef slists * lists; |
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203 | typedef sSubexpr * Subexpr; |
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204 | typedef sattr * attr; |
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205 | typedef skStrategy * kStrategy; |
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206 | typedef ip_package * package; |
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207 | typedef ssyStrategy * syStrategy; |
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208 | typedef procinfo * procinfov; |
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209 | typedef kBucket* kBucket_pt; |
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210 | typedef sBucket* sBucket_pt; |
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211 | typedef struct p_Procs_s p_Procs_s; |
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212 | |
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213 | // for hdegree.cc |
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214 | typedef struct sindlist indlist; |
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215 | typedef indlist * indset; |
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216 | struct sindlist |
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217 | { |
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218 | indset nx; |
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219 | intvec * set; |
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220 | }; |
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221 | |
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222 | // for longalg.cc |
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223 | struct snaIdeal |
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224 | { |
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225 | int anz; |
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226 | napoly *liste; |
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227 | }; |
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228 | typedef struct snaIdeal * naIdeal; |
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229 | |
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230 | |
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231 | // for sparsemat.cc |
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232 | typedef struct smprec sm_prec; |
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233 | typedef sm_prec * smpoly; |
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234 | struct smprec |
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235 | { |
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236 | smpoly n; // the next element |
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237 | int pos; // position |
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238 | int e; // level |
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239 | poly m; // the element |
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240 | float f; // complexity of the element |
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241 | }; |
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242 | |
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243 | struct n_Procs_s |
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244 | { |
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245 | n_Procs_s* next; |
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246 | // the union stuff |
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247 | // Zp: |
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248 | int npPrimeM; |
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249 | int npPminus1M; |
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250 | #ifdef HAVE_DIV_MOD |
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251 | CARDINAL *npInvTable; |
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252 | #endif |
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253 | #if !defined(HAVE_DIV_MOD) || !defined(HAVE_MULT_MOD) |
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254 | CARDINAL *npExpTable; |
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255 | CARDINAL *npLogTable; |
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256 | #endif |
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257 | // Zp_a, Q_a |
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258 | |
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259 | // general stuff |
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260 | numberfunc nMult, nSub ,nAdd ,nDiv, nIntDiv, nIntMod, nExactDiv; |
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261 | number (*cfInit)(int i,const ring r); |
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262 | number (*nPar)(int i); |
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263 | int (*nParDeg)(number n); |
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264 | int (*nSize)(number n); |
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265 | int (*n_Int)(number &n, const ring r); |
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266 | #ifdef HAVE_RINGS |
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267 | int (*nDivComp)(number a,number b); |
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268 | BOOLEAN (*nIsUnit)(number a); |
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269 | number (*nGetUnit)(number a); |
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270 | number (*nExtGcd)(number a, number b, number *s, number *t); |
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271 | #endif |
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272 | number (*nNeg)(number a); |
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273 | number (*nInvers)(number a); |
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274 | number (*nCopy)(number a); |
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275 | number (*cfCopy)(number a, const ring r); |
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276 | number (*nRePart)(number a); |
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277 | number (*nImPart)(number a); |
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278 | void (*cfWrite)(number &a, const ring r); |
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279 | const char * (*nRead)(const char * s, number * a); |
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280 | void (*nNormalize)(number &a); |
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281 | BOOLEAN (*nGreater)(number a,number b), |
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282 | #ifdef HAVE_RINGS |
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283 | (*nDivBy)(number a, number b), |
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284 | #endif |
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285 | (*nEqual)(number a,number b), |
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286 | (*nIsZero)(number a), |
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287 | (*nIsOne)(number a), |
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288 | (*nIsMOne)(number a), |
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289 | (*nGreaterZero)(number a); |
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290 | void (*nPower)(number a, int i, number * result); |
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291 | number (*cfGetDenom)(number &n, const ring r); |
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292 | number (*cfGetNumerator)(number &n, const ring r); |
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293 | number (*nGcd)(number a, number b, const ring r); |
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294 | number (*nLcm)(number a, number b, const ring r); |
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295 | void (*cfDelete)(number * a, const ring r); |
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296 | nMapFunc (*cfSetMap)(const ring src, const ring dst); |
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297 | char * (*nName)(number n); |
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298 | void (*nInpMult)(number &a, number b, ring r); |
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299 | #ifdef LDEBUG |
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300 | BOOLEAN (*nDBTest)(number a, const char *f,const int l); |
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301 | #endif |
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302 | |
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303 | number nNULL; /* the 0 as constant */ |
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304 | int char_flag; |
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305 | int ref; |
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306 | short nChar; |
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307 | n_coeffType type; |
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308 | }; |
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309 | |
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310 | extern idhdl currPackHdl; |
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311 | extern idhdl basePackHdl; |
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312 | extern package currPack; |
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313 | extern package basePack; |
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314 | #define IDROOT (currPack->idroot) |
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315 | |
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316 | /* the function pointer types */ |
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317 | |
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318 | typedef long (*pLDegProc)(poly p, int *length, ring r); |
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319 | typedef long (*pFDegProc)(poly p, ring r); |
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320 | typedef void (*p_SetmProc)(poly p, const ring r); |
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321 | |
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322 | typedef enum |
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323 | { |
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324 | ro_dp, // ordering is a degree ordering |
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325 | ro_wp, // ordering is a weighted degree ordering |
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326 | ro_wp64, // ordering is a weighted64 degree ordering |
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327 | ro_wp_neg, // ordering is a weighted degree ordering |
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328 | // with possibly negative weights |
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329 | ro_cp, // ordering duplicates variables |
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330 | ro_syzcomp, // ordering indicates "subset" of component number (ringorder_S) |
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331 | ro_syz, // ordering with component number >syzcomp is lower (ringorder_s) |
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332 | ro_isTemp, ro_is, // Induced Syzygy (Schreyer) ordering (and prefix data placeholder dummy) (ringorder_IS) |
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333 | ro_none |
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334 | } |
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335 | ro_typ; |
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336 | |
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337 | // ordering is a degree ordering |
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338 | struct sro_dp |
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339 | { |
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340 | short place; // where degree is stored (in L): |
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341 | short start; // bounds of ordering (in E): |
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342 | short end; |
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343 | }; |
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344 | typedef struct sro_dp sro_dp; |
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345 | |
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346 | // ordering is a weighted degree ordering |
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347 | struct sro_wp |
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348 | { |
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349 | short place; // where weighted degree is stored (in L) |
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350 | short start; // bounds of ordering (in E) |
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351 | short end; |
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352 | int *weights; // pointers into wvhdl field |
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353 | }; |
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354 | typedef struct sro_wp sro_wp; |
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355 | |
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356 | // ordering is a weighted degree ordering |
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357 | struct sro_wp64 |
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358 | { |
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359 | short place; // where weighted degree is stored (in L) |
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360 | short start; // bounds of ordering (in E) |
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361 | short end; |
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362 | int64 *weights64; // pointers into wvhdl field |
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363 | }; |
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364 | typedef struct sro_wp64 sro_wp64; |
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365 | |
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366 | // ordering duplicates variables |
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367 | struct sro_cp |
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368 | { |
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369 | short place; // where start is copied to (in E) |
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370 | short start; // bounds of sources of copied variables (in E) |
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371 | short end; |
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372 | }; |
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373 | typedef struct sro_cp sro_cp; |
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374 | |
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375 | // ordering indicates "subset" of component number |
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376 | struct sro_syzcomp |
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377 | { |
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378 | short place; // where the index is stored (in L) |
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379 | long *ShiftedComponents; // pointer into index field |
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380 | int* Components; |
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381 | #ifdef PDEBUG |
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382 | long length; |
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383 | #endif |
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384 | }; |
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385 | typedef struct sro_syzcomp sro_syzcomp; |
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386 | |
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387 | // ordering with component number >syzcomp is lower |
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388 | struct sro_syz |
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389 | { |
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390 | short place; // where the index is stored (in L) |
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391 | int limit; // syzcomp |
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392 | int* syz_index; // mapping Component -> SyzIndex for Comp <= limit |
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393 | int curr_index; // SyzIndex for Component > limit |
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394 | }; |
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395 | |
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396 | typedef struct sro_syz sro_syz; |
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397 | // Induced Syzygy (Schreyer) ordering is built inductively as follows: |
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398 | // we look for changes made by ordering blocks which are between prefix/suffix markers: |
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399 | // that is: which variables where placed by them and where (judging by v) |
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400 | |
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401 | // due to prefix/suffix nature we need some placeholder: |
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402 | // prefix stores here initial state |
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403 | // suffix cleares this up |
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404 | struct sro_ISTemp |
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405 | { |
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406 | short start; // 1st member SHOULD be short "place" |
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407 | int suffixpos; |
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408 | int* pVarOffset; // copy! |
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409 | }; |
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410 | |
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411 | // So this is the actuall thing! |
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412 | // suffix uses last sro_ISTemp (cleares it up afterwards) and |
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413 | // creates this block |
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414 | struct sro_IS |
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415 | { |
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416 | short start, end; // which part of L we want to want to update... |
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417 | int* pVarOffset; // same as prefix! |
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418 | |
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419 | int limit; // first referenced component |
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420 | |
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421 | // reference poly set?? // Should it be owned by ring?!!! |
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422 | ideal F; // reference leading (module)-monomials set. owned by ring... |
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423 | const intvec* componentWeights; // component weights! owned by ring... |
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424 | }; |
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425 | |
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426 | typedef struct sro_IS sro_IS; |
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427 | typedef struct sro_ISTemp sro_ISTemp; |
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428 | |
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429 | #ifndef OM_ALLOC_H |
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430 | struct omBin_s; |
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431 | #endif |
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432 | |
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433 | struct sro_ord |
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434 | { |
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435 | ro_typ ord_typ; |
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436 | int order_index; // comes from r->order[order_index] |
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437 | union |
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438 | { |
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439 | sro_dp dp; |
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440 | sro_wp wp; |
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441 | sro_wp64 wp64; |
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442 | sro_cp cp; |
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443 | sro_syzcomp syzcomp; |
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444 | sro_syz syz; |
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445 | sro_IS is; |
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446 | sro_ISTemp isTemp; |
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447 | } data; |
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448 | }; |
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449 | |
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450 | #ifdef HAVE_PLURAL |
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451 | // NC pProcs: |
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452 | typedef poly (*mm_Mult_p_Proc_Ptr)(const poly m, poly p, const ring r); |
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453 | typedef poly (*mm_Mult_pp_Proc_Ptr)(const poly m, const poly p, const ring r); |
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454 | |
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455 | typedef ideal (*GB_Proc_Ptr)(const ideal F, const ideal Q, const intvec *w, const intvec *hilb, kStrategy strat); |
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456 | |
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457 | typedef poly (*SPoly_Proc_Ptr)(const poly p1, const poly p2, const ring r); |
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458 | typedef poly (*SPolyReduce_Proc_Ptr)(const poly p1, poly p2, const ring r); |
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459 | |
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460 | typedef void (*bucket_Proc_Ptr)(kBucket_pt b, poly p, number *c); |
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461 | |
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462 | struct nc_pProcs |
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463 | { |
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464 | public: |
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465 | mm_Mult_p_Proc_Ptr mm_Mult_p; |
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466 | mm_Mult_pp_Proc_Ptr mm_Mult_pp; |
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467 | |
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468 | bucket_Proc_Ptr BucketPolyRed; |
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469 | bucket_Proc_Ptr BucketPolyRed_Z; |
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470 | |
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471 | SPoly_Proc_Ptr SPoly; |
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472 | SPolyReduce_Proc_Ptr ReduceSPoly; |
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473 | |
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474 | GB_Proc_Ptr GB; |
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475 | // GlobalGB, // BBA |
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476 | // LocalGB; // MORA |
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477 | }; |
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478 | |
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479 | |
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480 | struct nc_struct |
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481 | { |
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482 | short ref; |
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483 | nc_type type; |
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484 | ring basering; // the ring C,D,.. live in (commutative ring with this NC structure!) |
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485 | |
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486 | // initial data: square matrices rVar() x rVar() |
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487 | // logically: upper triangular!!! |
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488 | // TODO: eliminate this waste of memory!!!! |
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489 | matrix C; |
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490 | matrix D; |
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491 | |
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492 | // computed data: |
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493 | matrix *MT; // size 0.. (rVar()*rVar()-1)/2 |
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494 | matrix COM; |
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495 | int *MTsize; // size 0.. (rVar()*rVar()-1)/2 |
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496 | |
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497 | // IsSkewConstant indicates whethere coeffs C_ij are all equal, |
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498 | // effective together with nc_type=nc_skew |
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499 | int IsSkewConstant; |
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500 | |
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501 | private: |
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502 | // internal data for different implementations |
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503 | // if dynamic => must be deallocated in destructor (nc_rKill!) |
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504 | union { |
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505 | struct { |
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506 | // treat variables from iAltVarsStart till iAltVarsEnd as alternating vars. |
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507 | // these variables should have odd degree, though that will not be checked |
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508 | // iAltVarsStart, iAltVarsEnd are only used together with nc_type=nc_exterior |
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509 | // 1 <= iAltVarsStart <= iAltVarsEnd <= r->N |
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510 | unsigned int iFirstAltVar, iLastAltVar; // = 0 by default |
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511 | |
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512 | // for factors of super-commutative algebras we need |
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513 | // the part of general quotient ideal modulo squares! |
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514 | ideal idSCAQuotient; // = NULL by default. // must be deleted in Kill! |
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515 | } sca; |
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516 | |
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517 | } data; |
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518 | |
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519 | CGlobalMultiplier* m_Multiplier; |
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520 | CFormulaPowerMultiplier* m_PowerMultiplier; |
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521 | |
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522 | public: |
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523 | |
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524 | inline nc_type& ncRingType() { return (type); }; |
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525 | inline nc_type ncRingType() const { return (type); }; |
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526 | |
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527 | inline unsigned int& FirstAltVar() |
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528 | { assume(ncRingType() == nc_exterior); return (data.sca.iFirstAltVar); }; |
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529 | inline unsigned int& LastAltVar () |
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530 | { assume(ncRingType() == nc_exterior); return (data.sca.iLastAltVar ); }; |
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531 | |
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532 | inline unsigned int FirstAltVar() const |
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533 | { assume(ncRingType() == nc_exterior); return (data.sca.iFirstAltVar); }; |
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534 | inline unsigned int LastAltVar () const |
---|
535 | { assume(ncRingType() == nc_exterior); return (data.sca.iLastAltVar ); }; |
---|
536 | |
---|
537 | inline ideal& SCAQuotient() |
---|
538 | { assume(ncRingType() == nc_exterior); return (data.sca.idSCAQuotient); }; |
---|
539 | |
---|
540 | inline CGlobalMultiplier* GetGlobalMultiplier() const |
---|
541 | { assume(ncRingType() != nc_exterior); return (m_Multiplier); }; |
---|
542 | |
---|
543 | inline CGlobalMultiplier*& GetGlobalMultiplier() |
---|
544 | { assume(ncRingType() != nc_exterior); return (m_Multiplier); }; |
---|
545 | |
---|
546 | |
---|
547 | inline CFormulaPowerMultiplier* GetFormulaPowerMultiplier() const |
---|
548 | { assume(ncRingType() != nc_exterior); return (m_PowerMultiplier); }; |
---|
549 | |
---|
550 | inline CFormulaPowerMultiplier*& GetFormulaPowerMultiplier() |
---|
551 | { assume(ncRingType() != nc_exterior); return (m_PowerMultiplier); }; |
---|
552 | |
---|
553 | public: |
---|
554 | nc_pProcs p_Procs; // NC procedures. |
---|
555 | |
---|
556 | }; |
---|
557 | #endif |
---|
558 | #if 0 |
---|
559 | struct nc_struct |
---|
560 | { |
---|
561 | short ref; |
---|
562 | nc_type type; |
---|
563 | ring basering; // the ring C,D,.. live in |
---|
564 | matrix C; |
---|
565 | matrix D; |
---|
566 | matrix *MT; |
---|
567 | matrix COM; |
---|
568 | int *MTsize; |
---|
569 | int IsSkewConstant; /* indicates whethere coeffs C_ij are all equal */ |
---|
570 | /* effective together with nc_type=nc_skew */ |
---|
571 | }; |
---|
572 | #endif |
---|
573 | |
---|
574 | |
---|
575 | struct sip_sring |
---|
576 | { |
---|
577 | // each entry must have a description and a procedure defining it, |
---|
578 | // general ordering: pointer/structs, long, int, short, BOOLEAN/char/enum |
---|
579 | // general defining procedures: rInit, rComplete, interpreter, ?? |
---|
580 | idhdl idroot; /* local objects , interpreter*/ |
---|
581 | int* order; /* array of orderings, rInit/rSleftvOrdering2Ordering */ |
---|
582 | int* block0; /* starting pos., rInit/rSleftvOrdering2Ordering*/ |
---|
583 | int* block1; /* ending pos., rInit/rSleftvOrdering2Ordering*/ |
---|
584 | char** parameter; /* names of parameters, rInit */ |
---|
585 | number minpoly; /* for Q_a/Zp_a, rInit */ |
---|
586 | ideal minideal; |
---|
587 | int** wvhdl; /* array of weight vectors, rInit/rSleftvOrdering2Ordering */ |
---|
588 | char ** names; /* array of variable names, rInit */ |
---|
589 | |
---|
590 | // what follows below here should be set by rComplete, _only_ |
---|
591 | long *ordsgn; /* array of +/- 1 (or 0) for comparing monomials */ |
---|
592 | /* ExpL_Size entries*/ |
---|
593 | |
---|
594 | // is NULL for lp or N == 1, otherwise non-NULL (with OrdSize > 0 entries) */ |
---|
595 | sro_ord* typ; /* array of orderings + sizes, OrdSize entries */ |
---|
596 | /* if NegWeightL_Size > 0, then NegWeightL_Offset[0..size_1] is index of longs |
---|
597 | in ExpVector whose values need an offset due to negative weights */ |
---|
598 | /* array of NegWeigtL_Size indicies */ |
---|
599 | int* NegWeightL_Offset; |
---|
600 | |
---|
601 | int* VarOffset; |
---|
602 | |
---|
603 | ideal qideal; /* extension to the ring structure: qring, rInit */ |
---|
604 | |
---|
605 | |
---|
606 | int* firstwv; |
---|
607 | |
---|
608 | struct omBin_s* PolyBin; /* Bin from where monoms are allocated */ |
---|
609 | #ifdef HAVE_RINGS |
---|
610 | unsigned int ringtype; /* cring = 0 => coefficient field, cring = 1 => coeffs from Z/2^m */ |
---|
611 | int_number ringflaga; /* Z/(ringflag^ringflagb)=Z/nrnModul*/ |
---|
612 | unsigned long ringflagb; |
---|
613 | unsigned long nr2mModul; /* Z/nr2mModul */ |
---|
614 | int_number nrnModul; |
---|
615 | #endif |
---|
616 | unsigned long options; /* ring dependent options */ |
---|
617 | |
---|
618 | int ch; /* characteristic, rInit */ |
---|
619 | int ref; /* reference counter to the ring, interpreter */ |
---|
620 | |
---|
621 | short float_len; /* additional char-flags, rInit */ |
---|
622 | short float_len2; /* additional char-flags, rInit */ |
---|
623 | |
---|
624 | short N; /* number of vars, rInit */ |
---|
625 | |
---|
626 | short P; /* number of pars, rInit */ |
---|
627 | short OrdSgn; /* 1 for polynomial rings, -1 otherwise, rInit */ |
---|
628 | |
---|
629 | short firstBlockEnds; |
---|
630 | #ifdef HAVE_PLURAL |
---|
631 | short real_var_start, real_var_end; |
---|
632 | #endif |
---|
633 | |
---|
634 | #ifdef HAVE_SHIFTBBA |
---|
635 | short isLPring; /* 0 for non-letterplace rings, otherwise the number of LP blocks, at least 1, known also as lV */ |
---|
636 | #endif |
---|
637 | |
---|
638 | BOOLEAN VectorOut; |
---|
639 | BOOLEAN ShortOut; |
---|
640 | BOOLEAN CanShortOut; |
---|
641 | BOOLEAN LexOrder; // TRUE if the monomial ordering has polynomial and power series blocks |
---|
642 | BOOLEAN MixedOrder; // TRUE for global/local mixed orderings, FALSE otherwise |
---|
643 | |
---|
644 | BOOLEAN ComponentOrder; // ??? |
---|
645 | |
---|
646 | |
---|
647 | // what follows below here should be set by rComplete, _only_ |
---|
648 | // contains component, but no weight fields in E */ |
---|
649 | short ExpL_Size; // size of exponent vector in long |
---|
650 | short CmpL_Size; // portions which need to be compared |
---|
651 | /* number of long vars in exp vector: |
---|
652 | long vars are those longs in the exponent vector which are |
---|
653 | occupied by variables, only */ |
---|
654 | short VarL_Size; |
---|
655 | short BitsPerExp; /* number of bits per exponent */ |
---|
656 | short ExpPerLong; /* maximal number of Exponents per long */ |
---|
657 | short pCompIndex; /* p->exp.e[pCompIndex] is the component */ |
---|
658 | short pOrdIndex; /* p->exp[pOrdIndex] is pGetOrd(p) */ |
---|
659 | short OrdSize; /* size of ord vector (in sro_ord) */ |
---|
660 | |
---|
661 | /* if >= 0, long vars in exp vector are consecutive and start there |
---|
662 | if < 0, long vars in exp vector are not consecutive */ |
---|
663 | short VarL_LowIndex; |
---|
664 | // number of exponents in r->VarL_Offset[0] |
---|
665 | // is minimal number of exponents in a long var |
---|
666 | short MinExpPerLong; |
---|
667 | |
---|
668 | short NegWeightL_Size; |
---|
669 | /* array of size VarL_Size, |
---|
670 | VarL_Offset[i] gets i-th long var in exp vector */ |
---|
671 | int* VarL_Offset; |
---|
672 | |
---|
673 | /* mask for getting single exponents */ |
---|
674 | unsigned long bitmask; |
---|
675 | /* mask used for divisiblity tests */ |
---|
676 | unsigned long divmask; // rComplete |
---|
677 | |
---|
678 | p_Procs_s* p_Procs; // rComplete/p_ProcsSet |
---|
679 | |
---|
680 | /* FDeg and LDeg */ |
---|
681 | pFDegProc pFDeg; // rComplete/rSetDegStuff |
---|
682 | pLDegProc pLDeg; // rComplete/rSetDegStuff |
---|
683 | |
---|
684 | /* as it was determined by rComplete */ |
---|
685 | pFDegProc pFDegOrig; |
---|
686 | /* and as it was determined before rOptimizeLDeg */ |
---|
687 | pLDegProc pLDegOrig; |
---|
688 | |
---|
689 | p_SetmProc p_Setm; |
---|
690 | n_Procs_s* cf; |
---|
691 | ring algring; |
---|
692 | #ifdef HAVE_PLURAL |
---|
693 | private: |
---|
694 | nc_struct* _nc; // private |
---|
695 | public: |
---|
696 | inline const nc_struct* GetNC() const { return _nc; }; // public!!! |
---|
697 | inline nc_struct*& GetNC() { return _nc; }; // public!!! |
---|
698 | #endif |
---|
699 | }; |
---|
700 | |
---|
701 | struct sip_sideal |
---|
702 | { |
---|
703 | poly* m; |
---|
704 | long rank; |
---|
705 | int nrows; |
---|
706 | int ncols; |
---|
707 | #define IDELEMS(i) ((i)->ncols) |
---|
708 | }; |
---|
709 | |
---|
710 | struct sip_smap |
---|
711 | { |
---|
712 | poly *m; |
---|
713 | char *preimage; |
---|
714 | int nrows; |
---|
715 | int ncols; |
---|
716 | }; |
---|
717 | |
---|
718 | struct sideal_list |
---|
719 | { |
---|
720 | ideal_list next; |
---|
721 | ideal d; |
---|
722 | #ifndef NDEBUG |
---|
723 | int nr; |
---|
724 | #endif |
---|
725 | }; |
---|
726 | #endif /* __cplusplus */ |
---|
727 | |
---|
728 | |
---|
729 | |
---|
730 | /* |
---|
731 | ** 7. runtime procedures/global data |
---|
732 | */ |
---|
733 | |
---|
734 | /* 7.1 C-routines : */ |
---|
735 | |
---|
736 | |
---|
737 | #ifdef __cplusplus |
---|
738 | extern "C" { |
---|
739 | #endif |
---|
740 | void m2_end(int i) __attribute__((noreturn)); |
---|
741 | #ifdef __cplusplus |
---|
742 | } |
---|
743 | #endif |
---|
744 | |
---|
745 | /* 7.2 C++-routines : */ |
---|
746 | |
---|
747 | #ifdef __cplusplus |
---|
748 | int inits(void); |
---|
749 | int IsPrime(int i); |
---|
750 | #ifdef buildin_rand |
---|
751 | extern int siSeed; |
---|
752 | int siRand(); |
---|
753 | #endif |
---|
754 | #endif |
---|
755 | |
---|
756 | /*the general set of std-options --> kutil.cc */ |
---|
757 | extern BITSET test; |
---|
758 | /*the general set of verbose-options --> febase.cc */ |
---|
759 | #ifdef __cplusplus |
---|
760 | extern "C" BITSET verbose; |
---|
761 | #else |
---|
762 | extern BITSET verbose; |
---|
763 | #endif |
---|
764 | /*debugging the bison grammar --> grammar.cc*/ |
---|
765 | #ifdef YYDEBUG |
---|
766 | #if YYDEBUG |
---|
767 | extern int yydebug; |
---|
768 | #endif |
---|
769 | #endif |
---|
770 | |
---|
771 | #define loop for(;;) |
---|
772 | |
---|
773 | #ifndef ABS |
---|
774 | #define ABS(x) ((x)<0?(-(x)):(x)) |
---|
775 | #endif |
---|
776 | |
---|
777 | #if defined(__cplusplus) |
---|
778 | static inline int si_max(const int a, const int b) { return (a>b) ? a : b; } |
---|
779 | static inline int si_min(const int a, const int b) { return (a<b) ? a : b; } |
---|
780 | static inline long si_max(const long a, const long b) { return (a>b) ? a : b; } |
---|
781 | static inline long si_min(const long a, const long b) { return (a<b) ? a : b; } |
---|
782 | #else |
---|
783 | #define si_max(A,B) ((A) > (B) ? (A) : (B)) |
---|
784 | #define si_min(A,B) ((A) < (B) ? (A) : (B)) |
---|
785 | #endif |
---|
786 | |
---|
787 | /* |
---|
788 | ** Set operations (small sets only) |
---|
789 | */ |
---|
790 | |
---|
791 | #define Sy_bit(x) ((unsigned)1<<(x)) |
---|
792 | #define Sy_inset(x,s) ((Sy_bit(x)&(s))?TRUE:FALSE) |
---|
793 | #define BTEST1(a) Sy_inset((a), test) |
---|
794 | #define BVERBOSE(a) Sy_inset((a), verbose) |
---|
795 | |
---|
796 | /* |
---|
797 | ** defines for BITSETs |
---|
798 | */ |
---|
799 | |
---|
800 | #define V_SHOW_MEM 2 |
---|
801 | #define V_YACC 3 |
---|
802 | #define V_REDEFINE 4 |
---|
803 | #define V_READING 5 |
---|
804 | #define V_LOAD_LIB 6 |
---|
805 | #define V_DEBUG_LIB 7 |
---|
806 | #define V_LOAD_PROC 8 |
---|
807 | #define V_DEF_RES 9 |
---|
808 | #define V_DEBUG_MEM 10 |
---|
809 | #define V_SHOW_USE 11 |
---|
810 | #define V_IMAP 12 |
---|
811 | #define V_PROMPT 13 |
---|
812 | #define V_NSB 14 |
---|
813 | #define V_CONTENTSB 15 |
---|
814 | #define V_CANCELUNIT 16 |
---|
815 | #define V_MODPSOLVSB 17 |
---|
816 | #define V_UPTORADICAL 18 |
---|
817 | #define V_FINDMONOM 19 |
---|
818 | #define V_COEFSTRAT 20 |
---|
819 | #define V_IDLIFT 21 |
---|
820 | #define V_LENGTH 22 |
---|
821 | /* for tests: 23-30 */ |
---|
822 | #define V_DEG_STOP 31 |
---|
823 | |
---|
824 | |
---|
825 | #define OPT_PROT 0 |
---|
826 | #define OPT_REDSB 1 |
---|
827 | #define OPT_NOT_BUCKETS 2 |
---|
828 | #define OPT_NOT_SUGAR 3 |
---|
829 | #define OPT_INTERRUPT 4 |
---|
830 | #define OPT_SUGARCRIT 5 |
---|
831 | #define OPT_DEBUG 6 |
---|
832 | #define OPT_REDTHROUGH 7 |
---|
833 | #define OPT_RETURN_SB 9 |
---|
834 | #define OPT_FASTHC 10 |
---|
835 | #define OPT_OLDSTD 20 |
---|
836 | #define OPT_KEEPVARS 21 |
---|
837 | #define OPT_STAIRCASEBOUND 22 |
---|
838 | #define OPT_MULTBOUND 23 |
---|
839 | #define OPT_DEGBOUND 24 |
---|
840 | #define OPT_REDTAIL 25 |
---|
841 | #define OPT_INTSTRATEGY 26 |
---|
842 | #define OPT_FINDET 27 |
---|
843 | #define OPT_INFREDTAIL 28 |
---|
844 | #define OPT_SB_1 29 |
---|
845 | #define OPT_NOTREGULARITY 30 |
---|
846 | #define OPT_WEIGHTM 31 |
---|
847 | |
---|
848 | /* define ring dependent options */ |
---|
849 | #define TEST_RINGDEP_OPTS \ |
---|
850 | (Sy_bit(OPT_INTSTRATEGY) | Sy_bit(OPT_REDTHROUGH) | Sy_bit(OPT_REDTAIL)) |
---|
851 | |
---|
852 | #define TEST_OPT_PROT BTEST1(OPT_PROT) |
---|
853 | #define TEST_OPT_REDSB BTEST1(OPT_REDSB) |
---|
854 | #define TEST_OPT_NOT_BUCKETS BTEST1(OPT_NOT_BUCKETS) |
---|
855 | #define TEST_OPT_NOT_SUGAR BTEST1(OPT_NOT_SUGAR) |
---|
856 | #define TEST_OPT_SUGARCRIT BTEST1(OPT_SUGARCRIT) |
---|
857 | #define TEST_OPT_DEBUG BTEST1(OPT_DEBUG) |
---|
858 | #define TEST_OPT_FASTHC BTEST1(OPT_FASTHC) |
---|
859 | #define TEST_OPT_INTSTRATEGY BTEST1(OPT_INTSTRATEGY) |
---|
860 | #define TEST_OPT_FINDET BTEST1(OPT_FINDET) |
---|
861 | #define TEST_OPT_RETURN_SB BTEST1(OPT_RETURN_SB) |
---|
862 | #define TEST_OPT_KEEPVARS BTEST1(OPT_KEEPVARS) |
---|
863 | #define TEST_OPT_DEGBOUND BTEST1(OPT_DEGBOUND) |
---|
864 | #define TEST_OPT_MULTBOUND BTEST1(OPT_MULTBOUND) |
---|
865 | #define TEST_OPT_STAIRCASEBOUND BTEST1(OPT_STAIRCASEBOUND) |
---|
866 | #define TEST_OPT_REDTAIL BTEST1(OPT_REDTAIL) |
---|
867 | #define TEST_OPT_INFREDTAIL BTEST1(OPT_INFREDTAIL) |
---|
868 | #define TEST_OPT_SB_1 BTEST1(OPT_SB_1) |
---|
869 | #define TEST_OPT_NOTREGULARITY BTEST1(OPT_NOTREGULARITY) |
---|
870 | #define TEST_OPT_WEIGHTM BTEST1(OPT_WEIGHTM) |
---|
871 | #define TEST_OPT_REDTHROUGH BTEST1(OPT_REDTHROUGH) |
---|
872 | #define TEST_OPT_OLDSTD BTEST1(OPT_OLDSTD) |
---|
873 | #define TEST_OPT_CONTENTSB BVERBOSE(V_CONTENTSB) |
---|
874 | #define TEST_OPT_CANCELUNIT BVERBOSE(V_CANCELUNIT) |
---|
875 | #define TEST_OPT_IDLIFT BVERBOSE(V_IDLIFT) |
---|
876 | #define TEST_OPT_LENGTH BVERBOSE(V_LENGTH) |
---|
877 | |
---|
878 | #define TEST_VERB_NSB BVERBOSE(V_NSB) |
---|
879 | #define TEST_V_DEG_STOP BVERBOSE(V_DEG_STOP) |
---|
880 | #define TEST_V_MODPSOLVSB BVERBOSE(V_MODPSOLVSB) |
---|
881 | #define TEST_V_COEFSTRAT BVERBOSE(V_COEFSTRAT) |
---|
882 | #define TEST_V_UPTORADICAL BVERBOSE(V_UPTORADICAL) |
---|
883 | #define TEST_V_FINDMONOM BVERBOSE(V_FINDMONOM) |
---|
884 | #ifdef HAVE_LIBPARSER |
---|
885 | #ifdef __cplusplus |
---|
886 | class libstack; |
---|
887 | typedef libstack * libstackv; |
---|
888 | #endif |
---|
889 | #endif /* HAVE_LIBPARSER */ |
---|
890 | |
---|
891 | extern struct omBin_s* char_ptr_bin; |
---|
892 | extern struct omBin_s* ideal_bin; |
---|
893 | extern struct omBin_s* int_bin; |
---|
894 | extern struct omBin_s* poly_bin; |
---|
895 | extern struct omBin_s* indlist_bin; |
---|
896 | extern struct omBin_s* naIdeal_bin; |
---|
897 | extern struct omBin_s* snaIdeal_bin; |
---|
898 | extern struct omBin_s* smprec_bin; |
---|
899 | extern struct omBin_s* sip_sideal_bin; |
---|
900 | extern struct omBin_s* sip_smap_bin; |
---|
901 | extern struct omBin_s* sip_sring_bin; |
---|
902 | extern struct omBin_s* ip_sideal_bin; |
---|
903 | extern struct omBin_s* ip_sring_bin; |
---|
904 | extern struct omBin_s* sleftv_bin; |
---|
905 | |
---|
906 | #ifdef __cplusplus |
---|
907 | union uutypes |
---|
908 | { |
---|
909 | int i; |
---|
910 | ring uring; |
---|
911 | poly p; |
---|
912 | number n; |
---|
913 | ideal uideal; |
---|
914 | map umap; |
---|
915 | matrix umatrix; |
---|
916 | char * ustring; |
---|
917 | intvec * iv; |
---|
918 | lists l; |
---|
919 | si_link li; |
---|
920 | package pack; |
---|
921 | procinfo * pinf; |
---|
922 | }; |
---|
923 | |
---|
924 | class idrec |
---|
925 | { |
---|
926 | public: |
---|
927 | /* !! do not change the first 6 entries !! (see subexpr.h: sleftv) */ |
---|
928 | idhdl next; |
---|
929 | const char *id; |
---|
930 | utypes data; |
---|
931 | attr attribute; |
---|
932 | BITSET flag; |
---|
933 | idtyp typ; |
---|
934 | |
---|
935 | short lev; |
---|
936 | short ref; |
---|
937 | int id_i; |
---|
938 | |
---|
939 | #define IDNEXT(a) ((a)->next) |
---|
940 | #define IDTYP(a) ((a)->typ) |
---|
941 | #define IDFLAG(a) ((a)->flag) |
---|
942 | #define IDLEV(a) ((a)->lev) |
---|
943 | #define IDID(a) ((a)->id) |
---|
944 | #define IDATTR(a) ((a)->attribute) |
---|
945 | |
---|
946 | #define IDINT(a) ((int)(long)((a)->data.ustring)) |
---|
947 | #define IDDATA(a) ((a)->data.ustring) |
---|
948 | #define IDRING(a) ((a)->data.uring) |
---|
949 | #define IDINTVEC(a) ((a)->data.iv) |
---|
950 | #define IDPOLY(a) ((a)->data.p) |
---|
951 | #define IDBIGINT(a) ((a)->data.n) |
---|
952 | #define IDNUMBER(a) ((a)->data.n) |
---|
953 | #define IDIDEAL(a) (((a)->data).uideal) |
---|
954 | #define IDMATRIX(a) (((a)->data).umatrix) |
---|
955 | #define IDMAP(a) (((a)->data).umap) |
---|
956 | #define IDSTRING(a) ((a)->data.ustring) |
---|
957 | #define IDLIST(a) ((a)->data.l) |
---|
958 | #define IDLINK(a) ((a)->data.li) |
---|
959 | #define IDPACKAGE(a) ((a)->data.pack) |
---|
960 | #define IDPROC(a) ((a)->data.pinf) |
---|
961 | |
---|
962 | idrec() { memset(this,0,sizeof(*this)); } |
---|
963 | idhdl get(const char * s, int lev); |
---|
964 | idhdl set(const char * s, int lev, idtyp t, BOOLEAN init=TRUE); |
---|
965 | char * String(); |
---|
966 | // ~idrec(); |
---|
967 | }; |
---|
968 | |
---|
969 | #endif |
---|
970 | |
---|
971 | #endif |
---|
972 | |
---|