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GiNaC 1.8.7
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This file contains the interface to the underlying bignum package. More...
#include "numeric.h"#include "ex.h"#include "operators.h"#include "archive.h"#include "utils.h"#include <limits>#include <sstream>#include <stdexcept>#include <string>#include <vector>#include <cln/output.h>#include <cln/integer_io.h>#include <cln/integer_ring.h>#include <cln/rational_io.h>#include <cln/rational_ring.h>#include <cln/lfloat_class.h>#include <cln/lfloat_io.h>#include <cln/real_io.h>#include <cln/real_ring.h>#include <cln/complex_io.h>#include <cln/complex_ring.h>#include <cln/numtheory.h>Go to the source code of this file.
Classes | |
| class | GiNaC::lanczos_coeffs |
Namespaces | |
| namespace | GiNaC |
Functions | |
| GiNaC::GINAC_IMPLEMENT_REGISTERED_CLASS_OPT (numeric, basic, print_func< print_context >(&numeric::do_print). print_func< print_latex >(&numeric::do_print_latex). print_func< print_csrc >(&numeric::do_print_csrc). print_func< print_csrc_cl_N >(&numeric::do_print_csrc_cl_N). print_func< print_tree >(&numeric::do_print_tree). print_func< print_python_repr >(&numeric::do_print_python_repr)) numeric | |
| default ctor. More... | |
| static const cln::cl_F | GiNaC::make_real_float (const cln::cl_idecoded_float &dec) |
| Construct a floating point number from sign, mantissa, and exponent. More... | |
| static const cln::cl_F | GiNaC::read_real_float (std::istream &s) |
| Read serialized floating point number. More... | |
| GiNaC::GINAC_BIND_UNARCHIVER (numeric) | |
| static void | GiNaC::write_real_float (std::ostream &s, const cln::cl_R &n) |
| static void | GiNaC::print_real_number (const print_context &c, const cln::cl_R &x) |
| Helper function to print a real number in a nicer way than is CLN's default. More... | |
| static void | GiNaC::print_integer_csrc (const print_context &c, const cln::cl_I &x) |
| Helper function to print integer number in C++ source format. More... | |
| static void | GiNaC::print_real_csrc (const print_context &c, const cln::cl_R &x) |
| Helper function to print real number in C++ source format. More... | |
| template<typename T1 , typename T2 > | |
| static bool | GiNaC::coerce (T1 &dst, const T2 &arg) |
| template<> | |
| bool | GiNaC::coerce< int, cln::cl_I > (int &dst, const cln::cl_I &arg) |
| Check if CLN integer can be converted into int. More... | |
| template<> | |
| bool | GiNaC::coerce< unsigned int, cln::cl_I > (unsigned int &dst, const cln::cl_I &arg) |
| static void | GiNaC::print_real_cl_N (const print_context &c, const cln::cl_R &x) |
| Helper function to print real number in C++ source format using cl_N types. More... | |
| const numeric | GiNaC::exp (const numeric &x) |
| Exponential function. More... | |
| const numeric | GiNaC::log (const numeric &x) |
| Natural logarithm. More... | |
| const numeric | GiNaC::sin (const numeric &x) |
| Numeric sine (trigonometric function). More... | |
| const numeric | GiNaC::cos (const numeric &x) |
| Numeric cosine (trigonometric function). More... | |
| const numeric | GiNaC::tan (const numeric &x) |
| Numeric tangent (trigonometric function). More... | |
| const numeric | GiNaC::asin (const numeric &x) |
| Numeric inverse sine (trigonometric function). More... | |
| const numeric | GiNaC::acos (const numeric &x) |
| Numeric inverse cosine (trigonometric function). More... | |
| const numeric | GiNaC::atan (const numeric &x) |
| Numeric arcustangent. More... | |
| const numeric | GiNaC::atan (const numeric &y, const numeric &x) |
| Numeric arcustangent of two arguments, analytically continued in a suitable way. More... | |
| const numeric | GiNaC::sinh (const numeric &x) |
| Numeric hyperbolic sine (trigonometric function). More... | |
| const numeric | GiNaC::cosh (const numeric &x) |
| Numeric hyperbolic cosine (trigonometric function). More... | |
| const numeric | GiNaC::tanh (const numeric &x) |
| Numeric hyperbolic tangent (trigonometric function). More... | |
| const numeric | GiNaC::asinh (const numeric &x) |
| Numeric inverse hyperbolic sine (trigonometric function). More... | |
| const numeric | GiNaC::acosh (const numeric &x) |
| Numeric inverse hyperbolic cosine (trigonometric function). More... | |
| const numeric | GiNaC::atanh (const numeric &x) |
| Numeric inverse hyperbolic tangent (trigonometric function). More... | |
| static cln::cl_N | GiNaC::Li2_series (const cln::cl_N &x, const cln::float_format_t &prec) |
| Numeric evaluation of Dilogarithm within circle of convergence (unit circle) using a power series. More... | |
| static cln::cl_N | GiNaC::Li2_projection (const cln::cl_N &x, const cln::float_format_t &prec) |
| Folds Li2's argument inside a small rectangle to enhance convergence. More... | |
| const cln::cl_N | GiNaC::Li2_ (const cln::cl_N &value) |
| Numeric evaluation of Dilogarithm. More... | |
| const numeric | GiNaC::Li2 (const numeric &x) |
| const numeric | GiNaC::zeta (const numeric &x) |
| Numeric evaluation of Riemann's Zeta function. More... | |
| static cln::float_format_t | GiNaC::guess_precision (const cln::cl_N &x) |
| const cln::cl_N | GiNaC::lgamma (const cln::cl_N &x) |
| The Gamma function. More... | |
| const numeric | GiNaC::lgamma (const numeric &x) |
| const cln::cl_N | GiNaC::tgamma (const cln::cl_N &x) |
| const numeric | GiNaC::tgamma (const numeric &x) |
| const numeric | GiNaC::psi (const numeric &x) |
| The psi function (aka polygamma function). More... | |
| const numeric | GiNaC::psi (const numeric &n, const numeric &x) |
| The psi functions (aka polygamma functions). More... | |
| const numeric | GiNaC::factorial (const numeric &n) |
| Factorial combinatorial function. More... | |
| const numeric | GiNaC::doublefactorial (const numeric &n) |
| The double factorial combinatorial function. More... | |
| const numeric | GiNaC::binomial (const numeric &n, const numeric &k) |
| The Binomial coefficients. More... | |
| const numeric | GiNaC::bernoulli (const numeric &nn) |
| Bernoulli number. More... | |
| const numeric | GiNaC::fibonacci (const numeric &n) |
| Fibonacci number. More... | |
| const numeric | GiNaC::abs (const numeric &x) |
| Absolute value. More... | |
| const numeric | GiNaC::mod (const numeric &a, const numeric &b) |
| Modulus (in positive representation). More... | |
| const numeric | GiNaC::smod (const numeric &a_, const numeric &b_) |
| Modulus (in symmetric representation). More... | |
| const numeric | GiNaC::irem (const numeric &a, const numeric &b) |
| Numeric integer remainder. More... | |
| const numeric | GiNaC::irem (const numeric &a, const numeric &b, numeric &q) |
| Numeric integer remainder. More... | |
| const numeric | GiNaC::iquo (const numeric &a, const numeric &b) |
| Numeric integer quotient. More... | |
| const numeric | GiNaC::iquo (const numeric &a, const numeric &b, numeric &r) |
| Numeric integer quotient. More... | |
| const numeric | GiNaC::gcd (const numeric &a, const numeric &b) |
| Greatest Common Divisor. More... | |
| const numeric | GiNaC::lcm (const numeric &a, const numeric &b) |
| Least Common Multiple. More... | |
| const numeric | GiNaC::sqrt (const numeric &x) |
| Numeric square root. More... | |
| const numeric | GiNaC::isqrt (const numeric &x) |
| Integer numeric square root. More... | |
| ex | GiNaC::PiEvalf () |
| Floating point evaluation of Archimedes' constant Pi. More... | |
| ex | GiNaC::EulerEvalf () |
| Floating point evaluation of Euler's constant gamma. More... | |
| ex | GiNaC::CatalanEvalf () |
| Floating point evaluation of Catalan's constant. More... | |
| std::ostream & | GiNaC::operator<< (std::ostream &os, const _numeric_digits &e) |
Variables | |
| const numeric | GiNaC::I = numeric(cln::complex(cln::cl_I(0),cln::cl_I(1))) |
| Imaginary unit. More... | |
| _numeric_digits | GiNaC::Digits |
| Accuracy in decimal digits. More... | |
This file contains the interface to the underlying bignum package.
Its most important design principle is to completely hide the inner working of that other package from the user of GiNaC. It must either provide implementation of arithmetic operators and numerical evaluation of special functions or implement the interface to the bignum package.
Definition in file numeric.cpp.