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taylor Namespace Reference


Classes

class  dim2taylor
class  dim2taylor_vector
class  itaylor

Enumerations

enum  {
  _ln, _lnp1, _tan, _cot,
  _asin, _acos, _atan, _acot,
  _tanh, _coth, _asinh, _acosh,
  _atanh, _acoth, _sqrtp1m1
}
enum  {
  _i_ln, _i_tan, _i_cot, _i_asin,
  _i_acos, _i_atan, _i_acot, _i_tanh,
  _i_coth, _i_asinh, _i_acosh, _i_atanh,
  _i_acoth
}

Functions

dim2taylor init_var (int order, int nr, const interval &value)
dim2taylor init_const (int order, const interval &value)
std::ostream & operator<< (std::ostream &os, dim2taylor &d2t)
dim2taylor operator- (const dim2taylor &s)
dim2taylor operator- (const dim2taylor &s, const dim2taylor &t)
dim2taylor operator+ (const dim2taylor &s, const dim2taylor &t)
dim2taylor operator * (const dim2taylor &s, const dim2taylor &t)
dim2taylor operator/ (const dim2taylor &s, const dim2taylor &t)
dim2taylor operator- (const interval &s, const dim2taylor &t)
dim2taylor operator+ (const interval &s, const dim2taylor &t)
dim2taylor operator * (const interval &s, const dim2taylor &t)
dim2taylor operator/ (const interval &s, const dim2taylor &t)
dim2taylor operator- (const dim2taylor &s, const interval &t)
dim2taylor operator+ (const dim2taylor &s, const interval &t)
dim2taylor operator * (const dim2taylor &s, const interval &t)
dim2taylor operator/ (const dim2taylor &s, const interval &t)
dim2taylor operator- (const real &s, const dim2taylor &t)
dim2taylor operator+ (const real &s, const dim2taylor &t)
dim2taylor operator * (const real &s, const dim2taylor &t)
dim2taylor operator/ (const real &s, const dim2taylor &t)
dim2taylor operator- (const dim2taylor &s, const real &t)
dim2taylor operator+ (const dim2taylor &s, const real &t)
dim2taylor operator * (const dim2taylor &s, const real &t)
dim2taylor operator/ (const dim2taylor &s, const real &t)
dim2taylor operator- (int s, const dim2taylor &t)
dim2taylor operator+ (int s, const dim2taylor &t)
dim2taylor operator * (int s, const dim2taylor &t)
dim2taylor operator/ (int s, const dim2taylor &t)
dim2taylor operator- (const dim2taylor &s, int t)
dim2taylor operator+ (const dim2taylor &s, int t)
dim2taylor operator * (const dim2taylor &s, int t)
dim2taylor operator/ (const dim2taylor &s, int t)
dim2taylor sqr (const dim2taylor &s)
dim2taylor sqrt (const dim2taylor &s)
dim2taylor sqrt1px2 (const dim2taylor &x)
dim2taylor sqrtx2m1 (const dim2taylor &x)
dim2taylor pow (const dim2taylor &s, const interval &alpha)
dim2taylor power (const dim2taylor &s, int n)
dim2taylor exp (const dim2taylor &s)
dim2taylor ln (const dim2taylor &s)
dim2taylor lnp1 (const dim2taylor &s)
dim2taylor sqrtp1m1 (const dim2taylor &s)
dim2taylor sin (const dim2taylor &s)
dim2taylor cos (const dim2taylor &s)
dim2taylor tan (const dim2taylor &s)
dim2taylor cot (const dim2taylor &s)
dim2taylor sinh (const dim2taylor &s)
dim2taylor cosh (const dim2taylor &s)
dim2taylor tanh (const dim2taylor &s)
dim2taylor coth (const dim2taylor &s)
dim2taylor asin (const dim2taylor &s)
dim2taylor acos (const dim2taylor &s)
dim2taylor atan (const dim2taylor &s)
dim2taylor acot (const dim2taylor &s)
dim2taylor asinh (const dim2taylor &s)
dim2taylor acosh (const dim2taylor &s)
dim2taylor atanh (const dim2taylor &s)
dim2taylor acoth (const dim2taylor &s)
dim2taylor erf (const dim2taylor &s)
dim2taylor erfc (const dim2taylor &s)
void f_g_u (const dim2taylor &f, const dim2taylor &g, const dim2taylor &u, int _fkt)
dim2taylor_vector init_var (int order, ivector &values)
int Lb (const dim2taylor_vector &d2tv)
int Ub (const dim2taylor_vector &d2tv)
itaylor var_itaylor (int ord, const real &x)
itaylor var_itaylor (int ord, const interval &x)
itaylor const_itaylor (int ord, const real &c)
itaylor const_itaylor (int ord, const interval &c)
int get_order (const itaylor &x)
ivector get_all_coef (const itaylor &x)
interval get_j_coef (const itaylor &x, int j)
interval get_j_derive (const itaylor &x, int j)
void print_itaylor (const itaylor &x)
void print_itaylor (std::ostream &os, const itaylor &x, int width, int digits)
std::ostream & operator<< (std::ostream &os, itaylor &x)
itaylor operator- (const itaylor &x)
itaylor operator- (const itaylor &x, const itaylor &y)
itaylor operator+ (const itaylor &x, const itaylor &y)
itaylor operator * (const itaylor &x, const itaylor &y)
itaylor operator/ (const itaylor &x, const itaylor &y)
itaylor operator- (const interval &x, const itaylor &y)
itaylor operator+ (const interval &x, const itaylor &y)
itaylor operator * (const interval &x, const itaylor &y)
itaylor operator/ (const interval &x, const itaylor &y)
itaylor operator- (const itaylor &x, const interval &y)
itaylor operator+ (const itaylor &x, const interval &y)
itaylor operator * (const itaylor &x, const interval &y)
itaylor operator/ (const itaylor &x, const interval &y)
itaylor operator- (const real &x, const itaylor &y)
itaylor operator+ (const real &x, const itaylor &y)
itaylor operator * (const real &x, const itaylor &y)
itaylor operator/ (const real &x, const itaylor &y)
itaylor operator- (const itaylor &x, const real &y)
itaylor operator+ (const itaylor &x, const real &y)
itaylor operator * (const itaylor &x, const real &y)
itaylor operator/ (const itaylor &x, const real &y)
itaylor operator- (int x, const itaylor &y)
itaylor operator+ (int x, const itaylor &y)
itaylor operator * (int x, const itaylor &y)
itaylor operator/ (int x, const itaylor &y)
itaylor operator- (const itaylor &x, int y)
itaylor operator+ (const itaylor &x, int y)
itaylor operator * (const itaylor &x, int y)
itaylor operator/ (const itaylor &x, int y)
void f_g_u (const itaylor &f, const itaylor &g, const itaylor &u, int nb_function)
itaylor sqr (const itaylor &x)
itaylor sqrt (const itaylor &x)
itaylor sqrt (const itaylor &x, int n)
itaylor sqrt1mx2 (const itaylor &x)
itaylor sqrtx2m1 (const itaylor &x)
itaylor sqrtp1m1 (const itaylor &x)
itaylor pow (const itaylor &x, const interval &alpha)
itaylor exp (const itaylor &x)
itaylor expm1 (const itaylor &x)
itaylor ln (const itaylor &x)
itaylor lnp1 (const itaylor &x)
itaylor sin (const itaylor &x)
itaylor cos (const itaylor &x)
itaylor tan (const itaylor &x)
itaylor cot (const itaylor &x)
itaylor sinh (const itaylor &x)
itaylor cosh (const itaylor &x)
itaylor tanh (const itaylor &x)
itaylor coth (const itaylor &x)
itaylor asin (const itaylor &x)
itaylor acos (const itaylor &x)
itaylor atan (const itaylor &x)
itaylor acot (const itaylor &x)
itaylor asinh (const itaylor &x)
itaylor acosh (const itaylor &x)
itaylor atanh (const itaylor &x)
itaylor acoth (const itaylor &x)
itaylor erf (const itaylor &x)
itaylor erfc (const itaylor &x)
itaylor sqrt1px2 (const itaylor &x)


Enumeration Type Documentation

anonymous enum
 

Enumerator:
_i_ln 
_i_tan 
_i_cot 
_i_asin 
_i_acos 
_i_atan 
_i_acot 
_i_tanh 
_i_coth 
_i_asinh 
_i_acosh 
_i_atanh 
_i_acoth 

anonymous enum
 

Enumerator:
_ln 
_lnp1 
_tan 
_cot 
_asin 
_acos 
_atan 
_acot 
_tanh 
_coth 
_asinh 
_acosh 
_atanh 
_acoth 
_sqrtp1m1 


Function Documentation

itaylor taylor::acos const itaylor &  x  ) 
 

dim2taylor taylor::acos const dim2taylor &  s  ) 
 

itaylor taylor::acosh const itaylor &  x  ) 
 

dim2taylor taylor::acosh const dim2taylor &  s  ) 
 

itaylor taylor::acot const itaylor &  x  ) 
 

dim2taylor taylor::acot const dim2taylor &  s  ) 
 

itaylor taylor::acoth const itaylor &  x  ) 
 

dim2taylor taylor::acoth const dim2taylor &  s  ) 
 

itaylor taylor::asin const itaylor &  x  ) 
 

dim2taylor taylor::asin const dim2taylor &  s  ) 
 

itaylor taylor::asinh const itaylor &  x  ) 
 

dim2taylor taylor::asinh const dim2taylor &  s  ) 
 

itaylor taylor::atan const itaylor &  x  ) 
 

dim2taylor taylor::atan const dim2taylor &  s  ) 
 

itaylor taylor::atanh const itaylor &  x  ) 
 

dim2taylor taylor::atanh const dim2taylor &  s  ) 
 

itaylor taylor::const_itaylor int  ord,
const interval &  c
 

itaylor taylor::const_itaylor int  ord,
const real &  c
 

itaylor taylor::cos const itaylor &  x  ) 
 

dim2taylor taylor::cos const dim2taylor &  s  ) 
 

itaylor taylor::cosh const itaylor &  x  ) 
 

dim2taylor taylor::cosh const dim2taylor &  s  ) 
 

itaylor taylor::cot const itaylor &  x  ) 
 

dim2taylor taylor::cot const dim2taylor &  s  ) 
 

itaylor taylor::coth const itaylor &  x  ) 
 

dim2taylor taylor::coth const dim2taylor &  s  ) 
 

itaylor taylor::erf const itaylor &  x  ) 
 

dim2taylor taylor::erf const dim2taylor &  s  ) 
 

itaylor taylor::erfc const itaylor &  x  ) 
 

dim2taylor taylor::erfc const dim2taylor &  s  ) 
 

itaylor taylor::exp const itaylor &  x  ) 
 

dim2taylor taylor::exp const dim2taylor &  s  ) 
 

itaylor taylor::expm1 const itaylor &  x  ) 
 

void taylor::f_g_u const itaylor &  f,
const itaylor &  g,
const itaylor &  u,
int  nb_function
 

void taylor::f_g_u const dim2taylor &  f,
const dim2taylor &  g,
const dim2taylor &  u,
int  _fkt
 

ivector taylor::get_all_coef const itaylor &  x  ) 
 

interval taylor::get_j_coef const itaylor &  x,
int  j
 

interval taylor::get_j_derive const itaylor &  x,
int  j
 

int taylor::get_order const itaylor &  x  ) 
 

dim2taylor taylor::init_const int  order,
const interval &  value
 

dim2taylor_vector taylor::init_var int  order,
ivector &  values
 

dim2taylor taylor::init_var int  order,
int  nr,
const interval &  value
 

int taylor::Lb const dim2taylor_vector &  d2tv  ) 
 

itaylor taylor::ln const itaylor &  x  ) 
 

dim2taylor taylor::ln const dim2taylor &  s  ) 
 

itaylor taylor::lnp1 const itaylor &  x  ) 
 

dim2taylor taylor::lnp1 const dim2taylor &  s  ) 
 

itaylor taylor::operator * const itaylor &  x,
int  y
 

itaylor taylor::operator * int  x,
const itaylor &  y
 

itaylor taylor::operator * const itaylor &  x,
const real &  y
 

itaylor taylor::operator * const real &  x,
const itaylor &  y
 

itaylor taylor::operator * const itaylor &  x,
const interval &  y
 

itaylor taylor::operator * const interval &  x,
const itaylor &  y
 

itaylor taylor::operator * const itaylor &  x,
const itaylor &  y
 

dim2taylor taylor::operator * const dim2taylor &  s,
int  t
 

dim2taylor taylor::operator * int  s,
const dim2taylor &  t
 

dim2taylor taylor::operator * const dim2taylor &  s,
const real &  t
 

dim2taylor taylor::operator * const real &  s,
const dim2taylor &  t
 

dim2taylor taylor::operator * const dim2taylor &  s,
const interval &  t
 

dim2taylor taylor::operator * const interval &  s,
const dim2taylor &  t
 

dim2taylor taylor::operator * const dim2taylor &  s,
const dim2taylor &  t
 

itaylor taylor::operator+ const itaylor &  x,
int  y
 

itaylor taylor::operator+ int  x,
const itaylor &  y
 

itaylor taylor::operator+ const itaylor &  x,
const real &  y
 

itaylor taylor::operator+ const real &  x,
const itaylor &  y
 

itaylor taylor::operator+ const itaylor &  x,
const interval &  y
 

itaylor taylor::operator+ const interval &  x,
const itaylor &  y
 

itaylor taylor::operator+ const itaylor &  x,
const itaylor &  y
 

dim2taylor taylor::operator+ const dim2taylor &  s,
int  t
 

dim2taylor taylor::operator+ int  s,
const dim2taylor &  t
 

dim2taylor taylor::operator+ const dim2taylor &  s,
const real &  t
 

dim2taylor taylor::operator+ const real &  s,
const dim2taylor &  t
 

dim2taylor taylor::operator+ const dim2taylor &  s,
const interval &  t
 

dim2taylor taylor::operator+ const interval &  s,
const dim2taylor &  t
 

dim2taylor taylor::operator+ const dim2taylor &  s,
const dim2taylor &  t
 

itaylor taylor::operator- const itaylor &  x,
int  y
 

itaylor taylor::operator- int  x,
const itaylor &  y
 

itaylor taylor::operator- const itaylor &  x,
const real &  y
 

itaylor taylor::operator- const real &  x,
const itaylor &  y
 

itaylor taylor::operator- const itaylor &  x,
const interval &  y
 

itaylor taylor::operator- const interval &  x,
const itaylor &  y
 

itaylor taylor::operator- const itaylor &  x,
const itaylor &  y
 

itaylor taylor::operator- const itaylor &  x  ) 
 

dim2taylor taylor::operator- const dim2taylor &  s,
int  t
 

dim2taylor taylor::operator- int  s,
const dim2taylor &  t
 

dim2taylor taylor::operator- const dim2taylor &  s,
const real &  t
 

dim2taylor taylor::operator- const real &  s,
const dim2taylor &  t
 

dim2taylor taylor::operator- const dim2taylor &  s,
const interval &  t
 

dim2taylor taylor::operator- const interval &  s,
const dim2taylor &  t
 

dim2taylor taylor::operator- const dim2taylor &  s,
const dim2taylor &  t
 

dim2taylor taylor::operator- const dim2taylor &  s  ) 
 

itaylor taylor::operator/ const itaylor &  x,
int  y
 

itaylor taylor::operator/ int  x,
const itaylor &  y
 

itaylor taylor::operator/ const itaylor &  x,
const real &  y
 

itaylor taylor::operator/ const real &  x,
const itaylor &  y
 

itaylor taylor::operator/ const itaylor &  x,
const interval &  y
 

itaylor taylor::operator/ const interval &  x,
const itaylor &  y
 

itaylor taylor::operator/ const itaylor &  x,
const itaylor &  y
 

dim2taylor taylor::operator/ const dim2taylor &  s,
int  t
 

dim2taylor taylor::operator/ int  s,
const dim2taylor &  t
 

dim2taylor taylor::operator/ const dim2taylor &  s,
const real &  t
 

dim2taylor taylor::operator/ const real &  s,
const dim2taylor &  t
 

dim2taylor taylor::operator/ const dim2taylor &  s,
const interval &  t
 

dim2taylor taylor::operator/ const interval &  s,
const dim2taylor &  t
 

dim2taylor taylor::operator/ const dim2taylor &  s,
const dim2taylor &  t
 

std::ostream& taylor::operator<< std::ostream &  os,
itaylor &  x
 

std::ostream& taylor::operator<< std::ostream &  os,
dim2taylor &  d2t
 

itaylor taylor::pow const itaylor &  x,
const interval &  alpha
 

dim2taylor taylor::pow const dim2taylor &  s,
const interval &  alpha
 

dim2taylor taylor::power const dim2taylor &  s,
int  n
 

void taylor::print_itaylor std::ostream &  os,
const itaylor &  x,
int  width = 0,
int  digits = 0
 

void taylor::print_itaylor const itaylor &  x  ) 
 

itaylor taylor::sin const itaylor &  x  ) 
 

dim2taylor taylor::sin const dim2taylor &  s  ) 
 

itaylor taylor::sinh const itaylor &  x  ) 
 

dim2taylor taylor::sinh const dim2taylor &  s  ) 
 

itaylor taylor::sqr const itaylor &  x  ) 
 

dim2taylor taylor::sqr const dim2taylor &  s  ) 
 

itaylor taylor::sqrt const itaylor &  x,
int  n
 

itaylor taylor::sqrt const itaylor &  x  ) 
 

dim2taylor taylor::sqrt const dim2taylor &  s  ) 
 

itaylor taylor::sqrt1mx2 const itaylor &  x  ) 
 

itaylor taylor::sqrt1px2 const itaylor &  x  ) 
 

dim2taylor taylor::sqrt1px2 const dim2taylor &  x  ) 
 

itaylor taylor::sqrtp1m1 const itaylor &  x  ) 
 

dim2taylor taylor::sqrtp1m1 const dim2taylor &  s  ) 
 

itaylor taylor::sqrtx2m1 const itaylor &  x  ) 
 

dim2taylor taylor::sqrtx2m1 const dim2taylor &  x  ) 
 

itaylor taylor::tan const itaylor &  x  ) 
 

dim2taylor taylor::tan const dim2taylor &  s  ) 
 

itaylor taylor::tanh const itaylor &  x  ) 
 

dim2taylor taylor::tanh const dim2taylor &  s  ) 
 

int taylor::Ub const dim2taylor_vector &  d2tv  ) 
 

itaylor taylor::var_itaylor int  ord,
const interval &  x
 

itaylor taylor::var_itaylor int  ord,
const real &  x
 


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