00001
00002 #include <basix/double.hpp>
00003 #include <basix/int.hpp>
00004 #include <basix/vector.hpp>
00005 #include <basix/port.hpp>
00006 #include <basix/literal.hpp>
00007 #include <numerix/integer.hpp>
00008 #include <numerix/modular.hpp>
00009 #include <numerix/modular_integer.hpp>
00010 #include <numerix/rational.hpp>
00011 #include <numerix/floating.hpp>
00012 #include <numerix/complex.hpp>
00013 #include <numerix/complex_double.hpp>
00014 #include <algebramix/vector_unrolled.hpp>
00015 #include <algebramix/vector_simd.hpp>
00016 #include <algebramix/vector_modular.hpp>
00017 #include <analyziz/vector_double.hpp>
00018 #include <analyziz/vector_floating.hpp>
00019 #include <basix/compound.hpp>
00020 #include <basix/mmx_syntax.hpp>
00021 #include <basix/lisp_syntax.hpp>
00022 #include <basix/cpp_syntax.hpp>
00023 #include <basix/syntactic.hpp>
00024 #include <algebramix/polynomial.hpp>
00025 #include <algebramix/polynomial_polynomial.hpp>
00026 #include <algebramix/polynomial_integer.hpp>
00027 #include <algebramix/polynomial_rational.hpp>
00028 #include <algebramix/polynomial_modular.hpp>
00029 #include <algebramix/polynomial_modular_integer.hpp>
00030 #include <algebramix/polynomial_complex.hpp>
00031 #include <algebramix/polynomial_schonhage.hpp>
00032 #include <analyziz/polynomial_numeric.hpp>
00033 #include <analyziz/polynomial_double.hpp>
00034 #include <analyziz/polynomial_floating.hpp>
00035 #include <analyziz/solver.hpp>
00036 #include <analyziz/solver_aberth.hpp>
00037 #include <analyziz/solver_floating.hpp>
00038 #include <algebramix/permutation.hpp>
00039 #include <basix/row_tuple.hpp>
00040 #include <algebramix/matrix.hpp>
00041 #include <algebramix/matrix_ring_naive.hpp>
00042 #include <algebramix/matrix_integer.hpp>
00043 #include <algebramix/matrix_modular_integer.hpp>
00044 #include <algebramix/matrix_quotient.hpp>
00045 #include <algebramix/matrix_complex.hpp>
00046 #include <analyziz/matrix_jacobian.hpp>
00047 #include <analyziz/matrix_double.hpp>
00048 #include <analyziz/matrix_floating.hpp>
00049 #include <analyziz/eigen.hpp>
00050 #include <analyziz/eigen_homotopy.hpp>
00051 #include <analyziz/eigen_floating.hpp>
00052 #include <multimix/multivariate_coordinates.hpp>
00053 #include <multimix/multivariate_monomial.hpp>
00054 #include <multimix/multivariate_polynomial.hpp>
00055 #include <multimix/sparse_polynomial_integer.hpp>
00056 #include <multimix/sparse_polynomial_rational.hpp>
00057 #include <multimix/sparse_polynomial_modular.hpp>
00058 #include <multimix/sparse_polynomial_modular_integer.hpp>
00059 #include <algebramix/series.hpp>
00060 #include <algebramix/series_elementary.hpp>
00061 #include <algebramix/series_integer.hpp>
00062 #include <algebramix/series_rational.hpp>
00063 #include <algebramix/series_modular_integer.hpp>
00064 #include <algebramix/series_complex.hpp>
00065 #include <analyziz/series_double.hpp>
00066 #include <analyziz/series_floating.hpp>
00067 #include <continewz/ode_series.hpp>
00068 #include <basix/routine.hpp>
00069 #include <basix/glue.hpp>
00070
00071 #define int_literal(x) as_int (as_string (x))
00072 #define is_generic_literal is<literal>
00073 #define gen_literal_apply(f,v) gen (as<generic> (f), v)
00074 #define gen_literal_access(f,v) access (as<generic> (f), v)
00075 #define double_literal(x) as_double (as_string (x))
00076 #define is_generic_compound is<compound>
00077 #define compound_arguments(x) cdr (as_vector (x))
00078 #define gen_compound_apply(f,v) gen (as<generic> (f), v)
00079 namespace mmx {
00080 template<typename C> polynomial<C>
00081 polynomial_reverse (const vector<C>& v) {
00082 return polynomial<C> (reverse (v)); }
00083
00084 template<typename C> polynomial<modular<modulus<C>, modular_local> >
00085 as_polynomial_modular (const polynomial<C>& f, const modulus<C>& p) {
00086 modular<modulus<C>, modular_local>::set_modulus (p);
00087 return as<polynomial<modular<modulus<C>, modular_local> > > (f); }
00088
00089 template<typename C> vector<generic>
00090 wrap_subresultants (const polynomial<C>& f, const polynomial<C>& g) {
00091 return as<vector<generic> > (subresultants (f, g)); }
00092
00093 }
00094 namespace mmx { POLYNOMIAL_GENERIC_USES_SCHONHAGE }
00095 #define identity_matrix_integer identity_matrix<integer>
00096 #define hilbert_matrix_rational hilbert_matrix<rational>
00097
00098 namespace mmx {
00099 template<typename C> matrix<C>
00100 matrix_new (const vector<row_tuple<C> >& t) {
00101 if (N(t) == 0) return matrix<C> ();
00102 nat i, j, rows= N(t), cols= N(t[0]);
00103 C dummy= zero_cst<C> ();
00104 matrix<C> r (dummy, rows, cols);
00105 for (i=0; i<rows; i++) {
00106 ASSERT (N(t[i]) == cols, "unequal row lengths");
00107 for (j=0; j<cols; j++)
00108 r(i,j)= t[i][j];
00109 }
00110 return r;
00111 }
00112
00113 template<typename C> matrix<C>
00114 matrix_new (const vector<C>& t) {
00115 nat j, rows= 1, cols= N(t);
00116 C dummy= zero_cst<C> ();
00117 matrix<C> r (dummy, rows, cols);
00118 for (j=0; j<cols; j++)
00119 r(0,j)= t[j];
00120 return r;
00121 }
00122
00123 template<typename C> vector<generic>
00124 wrap_column_reduced_echelon_with_permutation (const matrix<C>& m) {
00125 permutation permut;
00126 generic tp=as<generic> (column_reduced_echelon (m, permut));
00127 return vec (tp, as<generic> (permut));
00128 }
00129
00130 template<typename C> vector<generic>
00131 wrap_column_reduced_echelon_with_transform (const matrix<C>& m) {
00132 matrix<C> k;
00133 generic tp=as<generic> (column_reduced_echelon (m, k));
00134 return vec (tp, as<generic> (k));
00135 }
00136
00137 template<typename C> vector<generic>
00138 wrap_row_reduced_echelon_with_transform (const matrix<C>& m) {
00139 matrix<C> k;
00140 generic tp=as<generic> (row_reduced_echelon (m, k));
00141 return vec (tp, as<generic> (k));
00142 }
00143 }
00144
00145 #define mmx_coordinate multivariate_coordinate<>
00146 #define mmx_coordinates multivariate_coordinates<>
00147 #define mv_monomial multivariate<monomial<> >
00148
00149 #define mv_polynomial(C) multivariate<sparse_polynomial<C> >
00150
00151
00152 namespace mmx {
00153 #define Polynomial \
00154 multivariate<sparse_polynomial<modular<modulus<C>, modular_local> > >
00155 template<typename C> Polynomial
00156 as_mv_polynomial_modular (const mv_polynomial(C)& f, const modulus<C>& p) {
00157 modular<modulus<C>, modular_local>::set_modulus (p);
00158 return as<Polynomial> (f); }
00159 #undef Polynomial
00160 }
00161
00162 namespace mmx {
00163 static vector<integer>
00164 GLUE_1 (const vector<int> &arg_1) {
00165 return as<vector<integer> > (arg_1);
00166 }
00167
00168 static vector<rational>
00169 GLUE_2 (const vector<int> &arg_1) {
00170 return as<vector<rational> > (arg_1);
00171 }
00172
00173 static vector<complex<rational> >
00174 GLUE_3 (const vector<int> &arg_1) {
00175 return as<vector<complex<rational> > > (arg_1);
00176 }
00177
00178 static vector<int>
00179 GLUE_4 (const vector<integer> &arg_1) {
00180 return as<vector<int> > (arg_1);
00181 }
00182
00183 static vector<mmx_floating>
00184 GLUE_5 (const vector<integer> &arg_1) {
00185 return as<vector<mmx_floating> > (arg_1);
00186 }
00187
00188 static vector<complex<mmx_floating> >
00189 GLUE_6 (const vector<integer> &arg_1) {
00190 return as<vector<complex<mmx_floating> > > (arg_1);
00191 }
00192
00193 static vector<generic>
00194 GLUE_7 (const vector<mv_polynomial(rational) > &arg_1, const vector<mmx_coordinate> &arg_2, const vector<mmx_floating> &arg_3) {
00195 return solve_ode_series (arg_1, arg_2, arg_3);
00196 }
00197
00198 static vector<generic>
00199 GLUE_8 (const vector<mv_polynomial(rational) > &arg_1, const vector<mmx_coordinate> &arg_2, const vector<mmx_floating> &arg_3) {
00200 return first_variation_series (arg_1, arg_2, arg_3);
00201 }
00202
00203 static vector<generic>
00204 GLUE_9 (const vector<mv_polynomial(rational) > &arg_1, const vector<mmx_coordinate> &arg_2, const vector<complex<mmx_floating> > &arg_3) {
00205 return solve_ode_series (arg_1, arg_2, arg_3);
00206 }
00207
00208 static vector<generic>
00209 GLUE_10 (const vector<mv_polynomial(rational) > &arg_1, const vector<mmx_coordinate> &arg_2, const vector<complex<mmx_floating> > &arg_3) {
00210 return first_variation_series (arg_1, arg_2, arg_3);
00211 }
00212
00213 static vector<mmx_floating>
00214 GLUE_11 (const vector<rational> &arg_1) {
00215 return as<vector<mmx_floating> > (arg_1);
00216 }
00217
00218 static vector<complex<mmx_floating> >
00219 GLUE_12 (const vector<rational> &arg_1) {
00220 return as<vector<complex<mmx_floating> > > (arg_1);
00221 }
00222
00223 static vector<complex<mmx_floating> >
00224 GLUE_13 (const vector<complex<rational> > &arg_1) {
00225 return as<vector<complex<mmx_floating> > > (arg_1);
00226 }
00227
00228 void
00229 glue_ode_series_floating () {
00230 static bool done = false;
00231 if (done) return;
00232 done = true;
00233 call_glue (string ("glue_matrix_floating"));
00234 call_glue (string ("glue_mvpolynomial_rational"));
00235 define_converter (":>", GLUE_1, PENALTY_INCLUSION);
00236 define_converter (":>", GLUE_2, PENALTY_INCLUSION);
00237 define_converter (":>", GLUE_3, PENALTY_HOMOMORPHISM);
00238 define_converter (":>", GLUE_4, PENALTY_INCLUSION);
00239 define_converter (":>", GLUE_5, PENALTY_INCLUSION);
00240 define_converter (":>", GLUE_6, PENALTY_HOMOMORPHISM);
00241 define ("solve_ode_series", GLUE_7);
00242 define ("first_variation_series", GLUE_8);
00243 define ("solve_ode_series", GLUE_9);
00244 define ("first_variation_series", GLUE_10);
00245 define_converter (":>", GLUE_11, PENALTY_INCLUSION);
00246 define_converter (":>", GLUE_12, PENALTY_HOMOMORPHISM);
00247 define_converter (":>", GLUE_13, PENALTY_INCLUSION);
00248 }
00249 }
