algebramix_doc 0.3
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00001 00002 #include <numerix/integer.hpp> 00003 #include <basix/vector.hpp> 00004 #include <algebramix/polynomial.hpp> 00005 #include <algebramix/polynomial_polynomial.hpp> 00006 #include <algebramix/polynomial_integer.hpp> 00007 #include <algebramix/polynomial_schonhage.hpp> 00008 #include <numerix/rational.hpp> 00009 #include <algebramix/series.hpp> 00010 #include <algebramix/series_elementary.hpp> 00011 #include <algebramix/series_integer.hpp> 00012 #include <algebramix/series_rational.hpp> 00013 #include <algebramix/series_sugar.hpp> 00014 #include <basix/tuple.hpp> 00015 #include <basix/glue.hpp> 00016 00017 namespace mmx { 00018 template<typename C> polynomial<C> 00019 polynomial_reverse (const vector<C>& v) { 00020 return polynomial<C> (reverse (v)); } 00021 00022 template<typename C> polynomial<modular<modulus<C>, modular_local> > 00023 as_polynomial_modular (const polynomial<C>& f, const modulus<C>& p) { 00024 modular<modulus<C>, modular_local>::set_modulus (p); 00025 return as<polynomial<modular<modulus<C>, modular_local> > > (f); } 00026 00027 template<typename C> vector<generic> 00028 wrap_subresultants (const polynomial<C>& f, const polynomial<C>& g) { 00029 return as<vector<generic> > (subresultants (f, g)); } 00030 00031 } 00032 namespace mmx { POLYNOMIAL_GENERIC_USES_SCHONHAGE } 00033 #define series_shift_default(s,sh) shift (s, sh, mmx_bit_precision) 00034 00035 namespace mmx { 00036 static generic 00037 GLUE_1 (const integer &arg_1, const integer &arg_2) { 00038 return integer_pow (arg_1, arg_2); 00039 } 00040 00041 static void 00042 GLUE_2 (const series<integer> &arg_1, const generic &arg_2) { 00043 set_variable_name (arg_1, arg_2); 00044 } 00045 00046 static void 00047 GLUE_3 (const series<integer> &arg_1, const int &arg_2) { 00048 set_output_order (arg_1, arg_2); 00049 } 00050 00051 static void 00052 GLUE_4 (const series<integer> &arg_1, const int &arg_2) { 00053 set_cancel_order (arg_1, arg_2); 00054 } 00055 00056 static void 00057 GLUE_5 (const series<integer> &arg_1, const bool &arg_2) { 00058 set_formula_output (arg_1, arg_2); 00059 } 00060 00061 static series<integer> 00062 GLUE_6 (const tuple<integer> &arg_1) { 00063 return series<integer > (as_vector (arg_1)); 00064 } 00065 00066 static series<integer> 00067 GLUE_7 (const integer &arg_1) { 00068 return series<integer > (arg_1); 00069 } 00070 00071 static series<integer> 00072 GLUE_8 (const polynomial<integer> &arg_1) { 00073 return series<integer > (arg_1); 00074 } 00075 00076 static iterator<generic> 00077 GLUE_9 (const series<integer> &arg_1) { 00078 return as<iterator<generic> > (iterate (arg_1)); 00079 } 00080 00081 static integer 00082 GLUE_10 (const series<integer> &arg_1, const int &arg_2) { 00083 return arg_1[arg_2]; 00084 } 00085 00086 static polynomial<integer> 00087 GLUE_11 (const series<integer> &arg_1, const int &arg_2, const int &arg_3) { 00088 return range (arg_1, arg_2, arg_3); 00089 } 00090 00091 static series<integer> 00092 GLUE_12 (const series<integer> &arg_1) { 00093 return -arg_1; 00094 } 00095 00096 static series<integer> 00097 GLUE_13 (const series<integer> &arg_1) { 00098 return square (arg_1); 00099 } 00100 00101 static series<integer> 00102 GLUE_14 (const series<integer> &arg_1, const series<integer> &arg_2) { 00103 return arg_1 + arg_2; 00104 } 00105 00106 static series<integer> 00107 GLUE_15 (const series<integer> &arg_1, const series<integer> &arg_2) { 00108 return arg_1 - arg_2; 00109 } 00110 00111 static series<integer> 00112 GLUE_16 (const series<integer> &arg_1, const series<integer> &arg_2) { 00113 return arg_1 * arg_2; 00114 } 00115 00116 static series<integer> 00117 GLUE_17 (const integer &arg_1, const series<integer> &arg_2) { 00118 return arg_1 + arg_2; 00119 } 00120 00121 static series<integer> 00122 GLUE_18 (const series<integer> &arg_1, const integer &arg_2) { 00123 return arg_1 + arg_2; 00124 } 00125 00126 static series<integer> 00127 GLUE_19 (const integer &arg_1, const series<integer> &arg_2) { 00128 return arg_1 - arg_2; 00129 } 00130 00131 static series<integer> 00132 GLUE_20 (const series<integer> &arg_1, const integer &arg_2) { 00133 return arg_1 - arg_2; 00134 } 00135 00136 static series<integer> 00137 GLUE_21 (const integer &arg_1, const series<integer> &arg_2) { 00138 return arg_1 * arg_2; 00139 } 00140 00141 static series<integer> 00142 GLUE_22 (const series<integer> &arg_1, const integer &arg_2) { 00143 return arg_1 * arg_2; 00144 } 00145 00146 static series<integer> 00147 GLUE_23 (const series<integer> &arg_1, const int &arg_2) { 00148 return binpow (arg_1, arg_2); 00149 } 00150 00151 static series<integer> 00152 GLUE_24 (const series<integer> &arg_1, const integer &arg_2) { 00153 return binpow (arg_1, arg_2); 00154 } 00155 00156 static series<integer> 00157 GLUE_25 (const series<integer> &arg_1) { 00158 return derive (arg_1); 00159 } 00160 00161 static series<integer> 00162 GLUE_26 (const series<integer> &arg_1) { 00163 return xderive (arg_1); 00164 } 00165 00166 static series<integer> 00167 GLUE_27 (const series<integer> &arg_1, const int &arg_2) { 00168 return dilate (arg_1, arg_2); 00169 } 00170 00171 static series<integer> 00172 GLUE_28 (const series<integer> &arg_1, const int &arg_2) { 00173 return lshiftz (arg_1, arg_2); 00174 } 00175 00176 static series<integer> 00177 GLUE_29 (const series<integer> &arg_1, const int &arg_2) { 00178 return rshiftz (arg_1, arg_2); 00179 } 00180 00181 static series<generic> 00182 GLUE_30 (const series<generic> &arg_1, const integer &arg_2) { 00183 return binpow (arg_1, arg_2); 00184 } 00185 00186 static bool 00187 GLUE_31 (const series<integer> &arg_1, const series<integer> &arg_2) { 00188 return arg_1 <= arg_2; 00189 } 00190 00191 static bool 00192 GLUE_32 (const series<integer> &arg_1, const series<integer> &arg_2) { 00193 return arg_1 >= arg_2; 00194 } 00195 00196 static bool 00197 GLUE_33 (const series<integer> &arg_1, const series<integer> &arg_2) { 00198 return arg_1 < arg_2; 00199 } 00200 00201 static bool 00202 GLUE_34 (const series<integer> &arg_1, const series<integer> &arg_2) { 00203 return arg_1 > arg_2; 00204 } 00205 00206 static series<generic> 00207 GLUE_35 (const series<integer> &arg_1) { 00208 return as<series<generic> > (arg_1); 00209 } 00210 00211 void 00212 glue_series_integer () { 00213 static bool done = false; 00214 if (done) return; 00215 done = true; 00216 call_glue (string ("glue_polynomial_integer")); 00217 call_glue (string ("glue_series_generic")); 00218 define ("^", GLUE_1); 00219 define_type<series<integer> > (gen (lit ("Series"), lit ("Integer"))); 00220 define ("set_variable_name", GLUE_2); 00221 define ("set_output_order", GLUE_3); 00222 define ("set_cancel_order", GLUE_4); 00223 define ("set_formula_output", GLUE_5); 00224 define ("series", GLUE_6); 00225 define_converter ("upgrade", GLUE_7, PENALTY_INCLUSION); 00226 define_converter ("upgrade", GLUE_8, PENALTY_INCLUSION); 00227 define_converter (":>", GLUE_9, PENALTY_CAST); 00228 define (".[]", GLUE_10); 00229 define (".[]", GLUE_11); 00230 define ("-", GLUE_12); 00231 define ("square", GLUE_13); 00232 define ("+", GLUE_14); 00233 define ("-", GLUE_15); 00234 define ("*", GLUE_16); 00235 define ("+", GLUE_17); 00236 define ("+", GLUE_18); 00237 define ("-", GLUE_19); 00238 define ("-", GLUE_20); 00239 define ("*", GLUE_21); 00240 define ("*", GLUE_22); 00241 define ("^", GLUE_23); 00242 define ("^", GLUE_24); 00243 define ("derive", GLUE_25); 00244 define ("xderive", GLUE_26); 00245 define ("dilate", GLUE_27); 00246 define ("<<", GLUE_28); 00247 define (">>", GLUE_29); 00248 define ("^", GLUE_30); 00249 define ("<=", GLUE_31); 00250 define (">=", GLUE_32); 00251 define ("<", GLUE_33); 00252 define (">", GLUE_34); 00253 define_converter (":>", GLUE_35, PENALTY_PROMOTE_GENERIC); 00254 } 00255 }