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GiNaC 1.8.7
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Polynomial factorization (implementation). More...
#include "factor.h"#include "ex.h"#include "numeric.h"#include "operators.h"#include "inifcns.h"#include "symbol.h"#include "relational.h"#include "power.h"#include "mul.h"#include "normal.h"#include "add.h"#include <type_traits>#include <algorithm>#include <limits>#include <list>#include <vector>#include <stack>#include <cln/cln.h>Go to the source code of this file.
Namespaces | |
| namespace | GiNaC |
Macros | |
| #define | DCOUT(str) |
| #define | DCOUTVAR(var) |
| #define | DCOUT2(str, var) |
| #define | USE_SAME_DEGREE_FACTOR |
Functions | |
| ex | GiNaC::factor (const ex &poly, unsigned options) |
| Interface function to the outside world. More... | |
Polynomial factorization (implementation).
The interface function factor() at the end of this file is defined in the GiNaC namespace. All other utility functions and classes are defined in an additional anonymous namespace.
Factorization starts by doing a square free factorization and making the coefficients integer. Then, depending on the number of free variables it proceeds either in dedicated univariate or multivariate factorization code.
Univariate factorization does a modular factorization via Berlekamp's algorithm and distinct degree factorization. Hensel lifting is used at the end.
Multivariate factorization uses the univariate factorization (applying a evaluation homomorphism first) and Hensel lifting raises the answer to the multivariate domain. The Hensel lifting code is completely distinct from the code used by the univariate factorization.
Algorithms used can be found in [Wan] An Improved Multivariate Polynomial Factoring Algorithm, P.S.Wang, Mathematics of Computation, Vol. 32, No. 144 (1978) 1215–1231. [GCL] Algorithms for Computer Algebra, K.O.Geddes, S.R.Czapor, G.Labahn, Springer Verlag, 1992. [Mig] Some Useful Bounds, M.Mignotte, In "Computer Algebra, Symbolic and Algebraic Computation" (B.Buchberger et al., eds.), pp. 259-263, Springer-Verlag, New York, 1982.
Definition in file factor.cpp.
| #define DCOUT | ( | str | ) |
Definition at line 135 of file factor.cpp.
| #define DCOUTVAR | ( | var | ) |
Definition at line 136 of file factor.cpp.
| #define DCOUT2 | ( | str, | |
| var | |||
| ) |
Definition at line 137 of file factor.cpp.
| #define USE_SAME_DEGREE_FACTOR |
Definition at line 1096 of file factor.cpp.
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Definition at line 199 of file factor.cpp.
Referenced by GiNaC::archive_node::add_bool(), GiNaC::archive_node::add_ex(), GiNaC::archive_node::add_string(), GiNaC::archive_node::add_unsigned(), GiNaC::Li2_(), GiNaC::matrix::set(), and GiNaC::subsvalue().
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Definition at line 757 of file factor.cpp.
Referenced by GiNaC::matrix::charpoly(), GiNaC::collect_common_factors(), GiNaC::ex::content(), GiNaC::numeric::csgn(), GiNaC::numeric::denom(), GiNaC::matrix::determinant(), GiNaC::matrix::determinant_minor(), GiNaC::divide(), GiNaC::divide_in_z(), GiNaC::matrix::division_free_elimination(), GiNaC::matrix::echelon_form(), GiNaC::power::eval(), GiNaC::power::expand(), GiNaC::power::expand_add(), GiNaC::power::expand_add_2(), GiNaC::matrix::fraction_free_elimination(), GiNaC::matrix::gauss_elimination(), GiNaC::idx_symmetrization(), GiNaC::matrix::inverse(), GiNaC::iquo(), GiNaC::lsolve(), GiNaC::matrix::markowitz_elimination(), GiNaC::matrix::matrix(), GiNaC::matrix::mul(), GiNaC::matrix::mul_scalar(), GiNaC::numeric::numer(), GiNaC::Order_series(), GiNaC::matrix::pow(), GiNaC::prem(), GiNaC::numeric::print_numeric(), GiNaC::quo(), GiNaC::matrix::rank(), GiNaC::reduced_matrix(), GiNaC::rem(), GiNaC::structure< T, ComparisonPolicy >::return_type_tinfo(), GiNaC::ex::series(), GiNaC::series(), GiNaC::basic::series(), GiNaC::add::series(), GiNaC::fderivative::series(), GiNaC::function::series(), GiNaC::integral::series(), GiNaC::integration_kernel::series(), GiNaC::Eisenstein_kernel::series(), GiNaC::modular_form_kernel::series(), GiNaC::pseries::series(), GiNaC::structure< T, ComparisonPolicy >::series(), GiNaC::mul::series(), GiNaC::power::series(), GiNaC::symbol::series(), GiNaC::refcounted::set_refcount(), GiNaC::matrix::solve(), GiNaC::sprem(), GiNaC::sqrfree_parfrac(), GiNaC::sr_gcd(), GiNaC::numeric::step(), GiNaC::sub_matrix(), GiNaC::ex::subs(), GiNaC::matrix::subs(), GiNaC::symbolic_matrix(), GiNaC::matrix::trace(), GiNaC::matrix::transpose(), GiNaC::unit_matrix(), and GiNaC::zeta1_evalf().
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Definition at line 757 of file factor.cpp.
Referenced by GiNaC::abs_print_csrc_float(), GiNaC::abs_print_latex(), GiNaC::symmetry::add(), GiNaC::bernoulli(), GiNaC::matrix::charpoly(), GiNaC::mul::coeff(), GiNaC::ncmul::coeff(), GiNaC::color_d(), GiNaC::color_f(), GiNaC::color_h(), GiNaC::expairseq::combine_ex_with_coeff_to_pair(), GiNaC::add::combine_ex_with_coeff_to_pair(), GiNaC::mul::combine_ex_with_coeff_to_pair(), GiNaC::expairseq::combine_overall_coeff(), GiNaC::mul::combine_overall_coeff(), GiNaC::expairseq::combine_pair_with_coeff_to_pair(), GiNaC::add::combine_pair_with_coeff_to_pair(), GiNaC::mul::combine_pair_with_coeff_to_pair(), GiNaC::mul::conjugate(), GiNaC::conjugate_print_latex(), GiNaC::ex::content(), GiNaC::crc32(), GiNaC::pseries::derivative(), GiNaC::matrix::determinant(), GiNaC::matrix::determinant_minor(), GiNaC::divide_in_z(), GiNaC::matrix::division_free_elimination(), GiNaC::add::do_print(), GiNaC::basic::do_print(), GiNaC::constant::do_print(), GiNaC::container< C >::do_print(), GiNaC::expairseq::do_print(), GiNaC::fderivative::do_print(), GiNaC::idx::do_print(), GiNaC::varidx::do_print(), GiNaC::spinidx::do_print(), GiNaC::indexed::do_print(), GiNaC::integral::do_print(), GiNaC::integration_kernel::do_print(), GiNaC::basic_log_kernel::do_print(), GiNaC::multiple_polylog_kernel::do_print(), GiNaC::ELi_kernel::do_print(), GiNaC::Ebar_kernel::do_print(), GiNaC::Kronecker_dtau_kernel::do_print(), GiNaC::Kronecker_dz_kernel::do_print(), GiNaC::Eisenstein_kernel::do_print(), GiNaC::Eisenstein_h_kernel::do_print(), GiNaC::modular_form_kernel::do_print(), GiNaC::user_defined_kernel::do_print(), GiNaC::matrix::do_print(), GiNaC::mul::do_print(), GiNaC::ncmul::do_print(), GiNaC::numeric::do_print(), GiNaC::pseries::do_print(), GiNaC::relational::do_print(), GiNaC::symbol::do_print(), GiNaC::symmetry::do_print(), GiNaC::wildcard::do_print(), GiNaC::ncmul::do_print_csrc(), GiNaC::add::do_print_csrc(), GiNaC::fderivative::do_print_csrc(), GiNaC::idx::do_print_csrc(), GiNaC::mul::do_print_csrc(), GiNaC::numeric::do_print_csrc(), GiNaC::power::do_print_csrc(), GiNaC::numeric::do_print_csrc_cl_N(), GiNaC::power::do_print_csrc_cl_N(), GiNaC::clifford::do_print_dflt(), GiNaC::power::do_print_dflt(), GiNaC::fderivative::do_print_latex(), GiNaC::add::do_print_latex(), GiNaC::clifford::do_print_latex(), GiNaC::constant::do_print_latex(), GiNaC::idx::do_print_latex(), GiNaC::spinidx::do_print_latex(), GiNaC::indexed::do_print_latex(), GiNaC::integral::do_print_latex(), GiNaC::matrix::do_print_latex(), GiNaC::mul::do_print_latex(), GiNaC::numeric::do_print_latex(), GiNaC::power::do_print_latex(), GiNaC::pseries::do_print_latex(), GiNaC::symbol::do_print_latex(), GiNaC::container< C >::do_print_python(), GiNaC::power::do_print_python(), GiNaC::pseries::do_print_python(), GiNaC::add::do_print_python_repr(), GiNaC::basic::do_print_python_repr(), GiNaC::constant::do_print_python_repr(), GiNaC::container< C >::do_print_python_repr(), GiNaC::matrix::do_print_python_repr(), GiNaC::mul::do_print_python_repr(), GiNaC::numeric::do_print_python_repr(), GiNaC::power::do_print_python_repr(), GiNaC::pseries::do_print_python_repr(), GiNaC::relational::do_print_python_repr(), GiNaC::symbol::do_print_python_repr(), GiNaC::wildcard::do_print_python_repr(), GiNaC::basic::do_print_tree(), GiNaC::clifford::do_print_tree(), GiNaC::constant::do_print_tree(), GiNaC::container< C >::do_print_tree(), GiNaC::expairseq::do_print_tree(), GiNaC::fderivative::do_print_tree(), GiNaC::idx::do_print_tree(), GiNaC::varidx::do_print_tree(), GiNaC::spinidx::do_print_tree(), GiNaC::indexed::do_print_tree(), GiNaC::numeric::do_print_tree(), GiNaC::pseries::do_print_tree(), GiNaC::symbol::do_print_tree(), GiNaC::symmetry::do_print_tree(), GiNaC::wildcard::do_print_tree(), GiNaC::matrix::echelon_form(), GiNaC::EllipticE_print_latex(), GiNaC::EllipticK_print_latex(), GiNaC::mul::eval(), GiNaC::power::eval(), GiNaC::power::expand_add(), GiNaC::power::expand_add_2(), GiNaC::factorial_print_dflt_latex(), GiNaC::matrix::fraction_free_elimination(), GiNaC::matrix::gauss_elimination(), GiNaC::H_print_latex(), GiNaC::power::imag_part(), GiNaC::imag_part_print_latex(), GiNaC::add::integer_content(), GiNaC::matrix::inverse(), GiNaC::lcmcoeff(), GiNaC::Li_print_latex(), GiNaC::lsolve(), GiNaC::matrix::markowitz_elimination(), GiNaC::matrix::matrix(), GiNaC::matrix::mul(), GiNaC::matrix::mul_scalar(), GiNaC::print_functor::operator()(), GiNaC::print_ptrfun_handler< T, C >::operator()(), GiNaC::print_memfun_handler< T, C >::operator()(), GiNaC::error_and_integral_is_less::operator()(), GiNaC::matrix::pivot(), GiNaC::pseries::power_const(), GiNaC::ex::primpart(), GiNaC::basic::print(), GiNaC::ex::print(), GiNaC::fderivative::print(), GiNaC::function::print(), GiNaC::structure< T, ComparisonPolicy >::print(), GiNaC::expair::print(), GiNaC::add::print_add(), GiNaC::basic::print_dispatch(), GiNaC::matrix::print_elements(), GiNaC::idx::print_index(), GiNaC::indexed::print_indexed(), GiNaC::print_integer_csrc(), GiNaC::numeric::print_numeric(), GiNaC::print_operator(), GiNaC::mul::print_overall_coeff(), GiNaC::power::print_power(), GiNaC::print_real_cl_N(), GiNaC::print_real_csrc(), GiNaC::print_real_number(), GiNaC::pseries::print_series(), GiNaC::print_sym_pow(), GiNaC::indexed::printindices(), GiNaC::expairseq::printpair(), GiNaC::expairseq::printseq(), GiNaC::container< C >::printseq(), GiNaC::numeric::read_archive(), GiNaC::power::real_part(), GiNaC::real_part_print_latex(), GiNaC::reduced_matrix(), GiNaC::S_print_latex(), GiNaC::set_print_context(), GiNaC::matrix::solve(), GiNaC::sr_gcd(), GiNaC::sub_matrix(), GiNaC::clifford::subs(), GiNaC::matrix::subs(), GiNaC::symbolic_matrix(), GiNaC::matrix::transpose(), GiNaC::ex::unit(), GiNaC::unit_matrix(), GiNaC::ex::unitcontprim(), GiNaC::zeta1_print_latex(), and GiNaC::zeta2_print_latex().
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Definition at line 758 of file factor.cpp.
Referenced by GiNaC::mul::algebraic_subs_mul(), GiNaC::charpoly(), GiNaC::Eisenstein_h_kernel::coefficient_an(), GiNaC::cols(), GiNaC::convert_H_to_Li(), GiNaC::determinant(), GiNaC::power::eval(), GiNaC::tensdelta::eval_indexed(), GiNaC::tensmetric::eval_indexed(), GiNaC::evalf(), GiNaC::add::evalm(), GiNaC::mul::evalm(), GiNaC::expand(), GiNaC::power::expand(), GiNaC::power::expand_mul(), GiNaC::fibonacci(), GiNaC::H_deriv(), GiNaC::H_eval(), GiNaC::H_evalf(), GiNaC::H_print_latex(), GiNaC::H_series(), GiNaC::inverse(), GiNaC::lgamma_series(), GiNaC::Li_deriv(), GiNaC::Li_eval(), GiNaC::Li_evalf(), GiNaC::Li_print_latex(), GiNaC::Li_series(), GiNaC::nops(), GiNaC::Order_eval(), GiNaC::psi1_series(), GiNaC::psi2_eval(), GiNaC::psi2_series(), GiNaC::rank(), GiNaC::reduced_matrix(), GiNaC::resultant(), GiNaC::rows(), GiNaC::S_eval(), GiNaC::smod(), GiNaC::sub_matrix(), GiNaC::subs(), GiNaC::basic::subs(), GiNaC::clifford::subs(), GiNaC::container< C >::subs(), GiNaC::expairseq::subs(), GiNaC::idx::subs(), GiNaC::numeric::subs(), GiNaC::power::subs(), GiNaC::pseries::subs(), GiNaC::relational::subs(), GiNaC::structure< T, ComparisonPolicy >::subs(), GiNaC::symbol::subs(), GiNaC::ex::subs(), GiNaC::basic::subs_one_level(), GiNaC::container< C >::subschildren(), GiNaC::expairseq::subschildren(), GiNaC::tgamma_series(), GiNaC::trace(), GiNaC::transpose(), GiNaC::zeta1_deriv(), GiNaC::zeta1_eval(), GiNaC::zeta1_print_latex(), GiNaC::zeta2_deriv(), GiNaC::zeta2_eval(), and GiNaC::zeta2_print_latex().
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Definition at line 1428 of file factor.cpp.
Referenced by GiNaC::subs(), and GiNaC::ex::subs().
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Definition at line 1429 of file factor.cpp.
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Definition at line 1430 of file factor.cpp.
Referenced by GiNaC::ncmul::count_factors(), GiNaC::ncmul::eval(), GiNaC::mul::expand(), GiNaC::mul::mul(), GiNaC::sqrfree(), and GiNaC::sqrfree_yun().
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Definition at line 1431 of file factor.cpp.
Referenced by GiNaC::integration_kernel::get_numerical_value_impl(), and GiNaC::iterated_integral_evalf_impl().
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Definition at line 1432 of file factor.cpp.
Referenced by GiNaC::class_info< OPT >::tree_node::add_child(), GiNaC::archive::add_node(), GiNaC::basic::archive(), GiNaC::clifford::archive(), GiNaC::color::archive(), GiNaC::constant::archive(), GiNaC::container< C >::archive(), GiNaC::expairseq::archive(), GiNaC::fderivative::archive(), GiNaC::function::archive(), GiNaC::idx::archive(), GiNaC::varidx::archive(), GiNaC::spinidx::archive(), GiNaC::indexed::archive(), GiNaC::integral::archive(), GiNaC::matrix::archive(), GiNaC::numeric::archive(), GiNaC::power::archive(), GiNaC::pseries::archive(), GiNaC::relational::archive(), GiNaC::symbol::archive(), GiNaC::symmetry::archive(), GiNaC::minkmetric::archive(), GiNaC::tensepsilon::archive(), GiNaC::wildcard::archive(), GiNaC::archive::archive(), GiNaC::bernoulli(), GiNaC::binomial(), GiNaC::basic::coeff(), GiNaC::ex::coeff(), GiNaC::add::coeff(), GiNaC::mul::coeff(), GiNaC::ncmul::coeff(), GiNaC::numeric::coeff(), GiNaC::power::coeff(), GiNaC::pseries::coeff(), GiNaC::structure< T, ComparisonPolicy >::coeff(), GiNaC::coeff(), GiNaC::Eisenstein_h_kernel::coefficient_an(), GiNaC::basic::collect(), GiNaC::const_postorder_iterator::const_postorder_iterator(), GiNaC::const_preorder_iterator::const_preorder_iterator(), GiNaC::composition_generator::coolmulti::coolmulti(), GiNaC::matrix::determinant_minor(), GiNaC::dirichlet_character(), GiNaC::matrix::division_free_elimination(), GiNaC::doublefactorial(), GiNaC::class_info< OPT >::dump_tree(), GiNaC::matrix::echelon_form(), GiNaC::power::eval(), GiNaC::mul::expand(), GiNaC::power::expand_add(), GiNaC::power::expand_mul(), GiNaC::factorial(), GiNaC::fibonacci(), GiNaC::frac_cancel(), GiNaC::matrix::fraction_free_elimination(), GiNaC::function_options::function_options(), GiNaC::matrix::gauss_elimination(), GiNaC::gcd(), GiNaC::golden_ratio_hash(), GiNaC::H_eval(), GiNaC::ifactor(), GiNaC::power::imag_part(), GiNaC::is_discriminant_of_quadratic_number_field(), GiNaC::kronecker_symbol(), GiNaC::integration_kernel::Laurent_series(), GiNaC::log2(), GiNaC::log_series(), GiNaC::basic::map(), GiNaC::matrix::markowitz_elimination(), GiNaC::multinomial_coefficient(), GiNaC::add::normal(), GiNaC::mul::normal(), GiNaC::pseries::normal(), GiNaC::const_iterator::operator+(), GiNaC::const_iterator::operator+=(), GiNaC::const_iterator::operator-(), GiNaC::const_iterator::operator-=(), GiNaC::const_iterator::operator[](), GiNaC::primitive_dirichlet_character(), GiNaC::psi2_deriv(), GiNaC::psi2_eval(), GiNaC::psi2_evalf(), GiNaC::psi2_series(), GiNaC::clifford::read_archive(), GiNaC::color::read_archive(), GiNaC::container< C >::read_archive(), GiNaC::constant::read_archive(), GiNaC::expairseq::read_archive(), GiNaC::fderivative::read_archive(), GiNaC::function::read_archive(), GiNaC::idx::read_archive(), GiNaC::varidx::read_archive(), GiNaC::spinidx::read_archive(), GiNaC::indexed::read_archive(), GiNaC::integral::read_archive(), GiNaC::matrix::read_archive(), GiNaC::numeric::read_archive(), GiNaC::power::read_archive(), GiNaC::pseries::read_archive(), GiNaC::relational::read_archive(), GiNaC::symbol::read_archive(), GiNaC::symmetry::read_archive(), GiNaC::minkmetric::read_archive(), GiNaC::tensepsilon::read_archive(), GiNaC::wildcard::read_archive(), GiNaC::power::real_part(), GiNaC::container_storage< C >::reserve(), GiNaC::rotate_left(), GiNaC::S_deriv(), GiNaC::S_eval(), GiNaC::S_evalf(), GiNaC::S_print_latex(), GiNaC::S_series(), GiNaC::basic::series(), GiNaC::symbol::set_name(), GiNaC::function_options::set_name(), GiNaC::symbol::set_TeX_name(), GiNaC::matrix::solve(), GiNaC::sqrfree_parfrac(), GiNaC::function_options::test_and_set_nparams(), GiNaC::tgamma_eval(), GiNaC::ex::traverse_postorder(), GiNaC::ex::traverse_preorder(), GiNaC::symmetry::validate(), GiNaC::write_real_float(), GiNaC::zetaderiv_deriv(), and GiNaC::zetaderiv_eval().
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Definition at line 1433 of file factor.cpp.
Referenced by GiNaC::crc32().
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Definition at line 1434 of file factor.cpp.
Referenced by GiNaC::antisymmetrize(), GiNaC::expairseq::combine_same_terms_sorted_seq(), GiNaC::expairseq::construct_from_expairseq_ex(), GiNaC::cyclic_permutation(), GiNaC::mul::eval(), GiNaC::expairseq::evalchildren(), GiNaC::power::expand_add_2(), GiNaC::expairseq::expandchildren(), GiNaC::mul::expandchildren(), GiNaC::find_free_and_dummy(), GiNaC::permutation_sign(), GiNaC::shaker_sort(), GiNaC::expairseq::subschildren(), GiNaC::symm(), GiNaC::symmetrize(), and GiNaC::symmetrize_cyclic().
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Definition at line 1435 of file factor.cpp.
Referenced by GiNaC::bernoulli(), GiNaC::Bernoulli_polynomial(), GiNaC::binomial(), GiNaC::scalar_products::debugprint(), GiNaC::divide_in_z(), GiNaC::EllipticE_deriv(), GiNaC::EllipticE_eval(), GiNaC::EllipticE_evalf(), GiNaC::EllipticE_print_latex(), GiNaC::EllipticE_series(), GiNaC::EllipticK_deriv(), GiNaC::EllipticK_eval(), GiNaC::EllipticK_evalf(), GiNaC::EllipticK_print_latex(), GiNaC::EllipticK_series(), GiNaC::ncmul::expand(), GiNaC::power::expand_add(), GiNaC::find_common_factor(), GiNaC::generalised_Bernoulli_number(), GiNaC::multi_iterator_permutation< T >::get_sign(), GiNaC::log2(), GiNaC::matrix::markowitz_elimination(), GiNaC::basic_partition_generator::mpartition2::mpartition2(), GiNaC::basic_partition_generator::mpartition2::next_partition(), GiNaC::composition_generator::coolmulti::next_permutation(), GiNaC::multi_iterator_ordered< T >::operator++(), GiNaC::multi_iterator_ordered_eq< T >::operator++(), GiNaC::multi_iterator_ordered_eq_indv< T >::operator++(), GiNaC::multi_iterator_counter< T >::operator++(), GiNaC::multi_iterator_counter_indv< T >::operator++(), GiNaC::multi_iterator_permutation< T >::operator++(), GiNaC::multi_iterator_shuffle< T >::operator++(), GiNaC::matrix::pivot(), GiNaC::resultant(), GiNaC::ELi_kernel::series_coeff_impl(), GiNaC::Ebar_kernel::series_coeff_impl(), and GiNaC::sqrfree_parfrac().
| const ex poly |
Definition at line 1443 of file factor.cpp.
Referenced by GiNaC::matrix::charpoly(), and GiNaC::factor().
| const ex x |
Definition at line 1610 of file factor.cpp.
Referenced by GiNaC::abs(), GiNaC::acos(), GiNaC::acos_conjugate(), GiNaC::acos_deriv(), GiNaC::acos_eval(), GiNaC::acos_evalf(), GiNaC::acosh(), GiNaC::acosh_conjugate(), GiNaC::acosh_deriv(), GiNaC::acosh_eval(), GiNaC::acosh_evalf(), GiNaC::adaptivesimpson(), GiNaC::asin(), GiNaC::asin_conjugate(), GiNaC::asin_deriv(), GiNaC::asin_eval(), GiNaC::asin_evalf(), GiNaC::asin_info(), GiNaC::asinh(), GiNaC::asinh_conjugate(), GiNaC::asinh_deriv(), GiNaC::asinh_eval(), GiNaC::asinh_evalf(), GiNaC::atan(), GiNaC::atan2_deriv(), GiNaC::atan2_eval(), GiNaC::atan2_evalf(), GiNaC::atan2_info(), GiNaC::atan_conjugate(), GiNaC::atan_deriv(), GiNaC::atan_eval(), GiNaC::atan_evalf(), GiNaC::atan_info(), GiNaC::atanh(), GiNaC::atanh_conjugate(), GiNaC::atanh_deriv(), GiNaC::atanh_eval(), GiNaC::atanh_evalf(), GiNaC::beta_deriv(), GiNaC::beta_eval(), GiNaC::beta_evalf(), GiNaC::binomial_conjugate(), GiNaC::binomial_eval(), GiNaC::binomial_evalf(), GiNaC::binomial_real_part(), GiNaC::binomial_sym(), GiNaC::lanczos_coeffs::calc_lanczos_A(), GiNaC::basic::collect(), GiNaC::container< C >::conjugate(), GiNaC::expairseq::conjugate(), GiNaC::matrix::conjugate(), GiNaC::mul::conjugate(), GiNaC::conjugateepvector(), GiNaC::ex::content(), GiNaC::convert_H_to_Li(), GiNaC::cos(), GiNaC::cos_conjugate(), GiNaC::cos_deriv(), GiNaC::cos_eval(), GiNaC::cos_evalf(), GiNaC::cos_imag_part(), GiNaC::cos_real_part(), GiNaC::cosh(), GiNaC::cosh_conjugate(), GiNaC::cosh_deriv(), GiNaC::cosh_eval(), GiNaC::cosh_evalf(), GiNaC::cosh_imag_part(), GiNaC::cosh_real_part(), GiNaC::csgn(), GiNaC::decomp_rational(), GiNaC::denom(), GiNaC::divide(), GiNaC::divide_in_z(), GiNaC::eta_conjugate(), GiNaC::eta_eval(), GiNaC::eta_evalf(), GiNaC::eta_imag_part(), GiNaC::eta_series(), GiNaC::tensepsilon::eval_indexed(), GiNaC::exp(), GiNaC::exp_conjugate(), GiNaC::exp_deriv(), GiNaC::exp_eval(), GiNaC::exp_evalf(), GiNaC::exp_imag_part(), GiNaC::exp_info(), GiNaC::exp_power(), GiNaC::exp_real_part(), GiNaC::factorial_conjugate(), GiNaC::factorial_eval(), GiNaC::factorial_evalf(), GiNaC::factorial_print_dflt_latex(), GiNaC::factorial_real_part(), GiNaC::find_common_factor(), GiNaC::frac_cancel(), GiNaC::fsolve(), GiNaC::G(), GiNaC::G2_eval(), GiNaC::G2_evalf(), GiNaC::G3_eval(), GiNaC::G3_evalf(), GiNaC::gcd(), GiNaC::get_first_symbol(), GiNaC::guess_precision(), GiNaC::H_deriv(), GiNaC::H_eval(), GiNaC::H_evalf(), GiNaC::H_print_latex(), GiNaC::H_series(), GiNaC::make_flat_inserter::handle_factor(), GiNaC::hasindex(), GiNaC::haswild(), GiNaC::heur_gcd_z(), GiNaC::imag(), GiNaC::interpolate(), GiNaC::inverse(), GiNaC::is_cinteger(), GiNaC::is_crational(), GiNaC::is_even(), GiNaC::is_integer(), GiNaC::is_negative(), GiNaC::is_nonneg_integer(), GiNaC::is_odd(), GiNaC::is_pos_integer(), GiNaC::is_positive(), GiNaC::is_prime(), GiNaC::is_rational(), GiNaC::is_real(), GiNaC::is_the_function(), GiNaC::is_the_function< G_SERIAL >(), GiNaC::is_the_function< iterated_integral_SERIAL >(), GiNaC::is_the_function< psi_SERIAL >(), GiNaC::is_the_function< zeta_SERIAL >(), GiNaC::is_zero(), GiNaC::isqrt(), GiNaC::lgamma(), GiNaC::lgamma_conjugate(), GiNaC::lgamma_deriv(), GiNaC::lgamma_eval(), GiNaC::lgamma_evalf(), GiNaC::Li2(), GiNaC::Li2_conjugate(), GiNaC::Li2_deriv(), GiNaC::Li2_eval(), GiNaC::Li2_evalf(), GiNaC::Li2_projection(), GiNaC::Li2_series(), GiNaC::Li3_eval(), GiNaC::Li_deriv(), GiNaC::Li_eval(), GiNaC::Li_evalf(), GiNaC::Li_print_latex(), GiNaC::Li_series(), GiNaC::log(), GiNaC::log_conjugate(), GiNaC::log_deriv(), GiNaC::log_eval(), GiNaC::log_evalf(), GiNaC::log_imag_part(), GiNaC::log_info(), GiNaC::log_real_part(), GiNaC::make_real_float(), GiNaC::matrix::matrix(), GiNaC::numer(), GiNaC::sym_desc::operator<(), GiNaC::Order_conjugate(), GiNaC::Order_eval(), GiNaC::Order_imag_part(), GiNaC::Order_power(), GiNaC::Order_real_part(), GiNaC::Order_series(), GiNaC::pow(), GiNaC::prem(), GiNaC::ex::primpart(), GiNaC::print_integer_csrc(), GiNaC::print_real_cl_N(), GiNaC::print_real_csrc(), GiNaC::print_real_number(), GiNaC::print_sym_pow(), GiNaC::psi1_deriv(), GiNaC::psi1_eval(), GiNaC::psi1_evalf(), GiNaC::psi2_deriv(), GiNaC::psi2_eval(), GiNaC::psi2_evalf(), GiNaC::quo(), GiNaC::read_real_float(), GiNaC::real(), GiNaC::rem(), GiNaC::S_deriv(), GiNaC::S_eval(), GiNaC::S_evalf(), GiNaC::S_print_latex(), GiNaC::S_series(), GiNaC::sin(), GiNaC::sin_conjugate(), GiNaC::sin_deriv(), GiNaC::sin_eval(), GiNaC::sin_evalf(), GiNaC::sin_imag_part(), GiNaC::sin_real_part(), GiNaC::sinh(), GiNaC::sinh_conjugate(), GiNaC::sinh_deriv(), GiNaC::sinh_eval(), GiNaC::sinh_evalf(), GiNaC::sinh_imag_part(), GiNaC::sinh_real_part(), GiNaC::sprem(), GiNaC::sqrfree(), GiNaC::sqrfree_parfrac(), GiNaC::sqrfree_yun(), GiNaC::sqrt(), GiNaC::sr_gcd(), GiNaC::step(), GiNaC::tan(), GiNaC::tan_conjugate(), GiNaC::tan_deriv(), GiNaC::tan_eval(), GiNaC::tan_evalf(), GiNaC::tan_imag_part(), GiNaC::tan_real_part(), GiNaC::tan_series(), GiNaC::tanh(), GiNaC::tanh_conjugate(), GiNaC::tanh_deriv(), GiNaC::tanh_eval(), GiNaC::tanh_evalf(), GiNaC::tanh_imag_part(), GiNaC::tanh_real_part(), GiNaC::tanh_series(), GiNaC::tgamma(), GiNaC::tgamma_conjugate(), GiNaC::tgamma_deriv(), GiNaC::tgamma_eval(), GiNaC::tgamma_evalf(), GiNaC::to_double(), GiNaC::to_int(), GiNaC::to_long(), GiNaC::trig_info(), GiNaC::ex::unit(), GiNaC::unit_matrix(), GiNaC::ex::unitcontprim(), GiNaC::zeta(), GiNaC::zeta1_evalf(), GiNaC::zeta2_evalf(), GiNaC::zetaderiv_deriv(), and GiNaC::zetaderiv_eval().
| int evalpoint |
Definition at line 1611 of file factor.cpp.
| cl_modint_ring R |
Definition at line 1791 of file factor.cpp.
| const exset syms_wox |
Definition at line 2190 of file factor.cpp.
| ex unit |
Definition at line 2191 of file factor.cpp.
Referenced by GiNaC::kronecker_symbol().
| ex cont |
Definition at line 2191 of file factor.cpp.
Referenced by GiNaC::ex::content(), GiNaC::container< C >::imag_part(), and GiNaC::container< C >::real_part().
| ex pp |
Definition at line 2191 of file factor.cpp.
| ex vn |
Definition at line 2192 of file factor.cpp.
| exvector vnlst |
Definition at line 2192 of file factor.cpp.
| numeric modulus |
Definition at line 2193 of file factor.cpp.
| exset syms |
Definition at line 2429 of file factor.cpp.
Referenced by GiNaC::lsolve().
| unsigned options |
Definition at line 2475 of file factor.cpp.
Referenced by GiNaC::abs_expand(), GiNaC::mul::algebraic_subs_mul(), GiNaC::atan_series(), GiNaC::atanh_series(), GiNaC::beta_series(), GiNaC::csgn_series(), GiNaC::determinant(), GiNaC::exp_expand(), GiNaC::expand(), GiNaC::basic::expand(), GiNaC::ex::expand(), GiNaC::add::expand(), GiNaC::expairseq::expand(), GiNaC::function::expand(), GiNaC::indexed::expand(), GiNaC::integral::expand(), GiNaC::mul::expand(), GiNaC::ncmul::expand(), GiNaC::power::expand(), GiNaC::pseries::expand(), GiNaC::structure< T, ComparisonPolicy >::expand(), GiNaC::power::expand_add(), GiNaC::power::expand_add_2(), GiNaC::power::expand_mul(), GiNaC::expairseq::expandchildren(), GiNaC::mul::expandchildren(), GiNaC::ncmul::expandchildren(), GiNaC::factor(), GiNaC::gcd(), GiNaC::basic::has(), GiNaC::mul::has(), GiNaC::power::has(), GiNaC::structure< T, ComparisonPolicy >::has(), GiNaC::ex::has(), GiNaC::has(), GiNaC::lgamma_series(), GiNaC::Li2_series(), GiNaC::log_expand(), GiNaC::log_series(), GiNaC::lsolve(), GiNaC::expand_map_function::operator()(), GiNaC::function_options::print_func(), GiNaC::registered_class_options::print_func(), GiNaC::psi1_series(), GiNaC::psi2_series(), GiNaC::S_series(), GiNaC::ex::series(), GiNaC::series(), GiNaC::add::series(), GiNaC::fderivative::series(), GiNaC::function::series(), GiNaC::integral::series(), GiNaC::pseries::series(), GiNaC::structure< T, ComparisonPolicy >::series(), GiNaC::mul::series(), GiNaC::power::series(), GiNaC::set_print_context(), GiNaC::set_print_func(), GiNaC::set_print_options(), GiNaC::simplify_indexed(), GiNaC::step_series(), GiNaC::subs(), GiNaC::basic::subs(), GiNaC::clifford::subs(), GiNaC::container< C >::subs(), GiNaC::expairseq::subs(), GiNaC::idx::subs(), GiNaC::matrix::subs(), GiNaC::numeric::subs(), GiNaC::power::subs(), GiNaC::pseries::subs(), GiNaC::relational::subs(), GiNaC::structure< T, ComparisonPolicy >::subs(), GiNaC::symbol::subs(), GiNaC::ex::subs(), GiNaC::basic::subs_one_level(), GiNaC::container< C >::subschildren(), GiNaC::expairseq::subschildren(), GiNaC::tan_series(), GiNaC::tanh_series(), and GiNaC::tgamma_series().