C-XSC - A C++ Class Library for Extended Scientific Computing
2.5.4
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The Multiple-Precision Data Type l_real. More...
#include <l_real.hpp>
Public Member Functions | |
l_real (void) throw () | |
Constructor of class l_real. | |
l_real (const l_real &) throw () | |
Constructor of class l_real. | |
l_real (int) throw () | |
Constructor of class l_real. | |
l_real (long) throw () | |
Constructor of class l_real. | |
l_real (const real &) throw () | |
Constructor of class l_real. | |
l_real (const dotprecision &) throw () | |
Constructor of class l_real. | |
l_real (const double &) throw () | |
Constructor of class l_real. | |
l_real (const l_rvector &) throw () | |
Constructor of class l_real. | |
l_real (const l_rvector_slice &) throw () | |
Constructor of class l_real. | |
l_real (const l_rmatrix &) throw () | |
Constructor of class l_real. | |
l_real (const l_rmatrix_slice &) throw () | |
Constructor of class l_real. | |
l_real & | operator= (const l_real &) throw () |
Implementation of standard assigning operator. | |
l_real & | operator= (const real &) throw () |
Implementation of standard assigning operator. | |
l_real & | operator= (const dotprecision &) throw () |
Implementation of standard assigning operator. | |
l_real & | operator= (const lx_real &) throw () |
Implementation of standard assigning operator. | |
real & | operator[] (int) const throw () |
Access to the single components used to store the long data type value. | |
Friends | |
real | _l_real (const l_rvector &) throw () |
Deprecated typecast, which only exist for the reason of compatibility with older versions of C-XSC. | |
real | _l_real (const l_rvector_slice &) throw () |
Deprecated typecast, which only exist for the reason of compatibility with older versions of C-XSC. | |
real | _l_real (const l_rmatrix &) throw () |
Deprecated typecast, which only exist for the reason of compatibility with older versions of C-XSC. | |
real | _l_real (const l_rmatrix_slice &) throw () |
Deprecated typecast, which only exist for the reason of compatibility with older versions of C-XSC. | |
l_real | abs (const l_real &) throw () |
The absolute value of a l_real value. | |
void | accumulate (dotprecision &, const real &, const l_real &) throw () |
The accurate scalar product of the last two arguments added to the value of the first argument. | |
void | accumulate (dotprecision &, const l_real &, const real &) throw () |
The accurate scalar product of the last two arguments added to the value of the first argument. | |
void | accumulate (dotprecision &, const l_real &, const l_real &) throw () |
The accurate scalar product of the last two arguments added to the value of the first argument. | |
void | accumulate (idotprecision &, const real &, const l_real &) throw () |
The accurate scalar product of the last two arguments added to the value of the first argument. | |
void | accumulate (idotprecision &, const l_real &, const real &) throw () |
The accurate scalar product of the last two arguments added to the value of the first argument. | |
void | accumulate (idotprecision &, const l_real &, const l_real &) throw () |
The accurate scalar product of the last two arguments added to the value of the first argument. | |
l_real | adjust (const l_real &) throw () |
Sets the precision of a specific long datatype value. | |
int | expo_gr (const l_real &) |
Returns the maximum of the expo-function. | |
int | expo_sm (const l_real &) |
Returns the minimum of the expo-function. | |
l_real | Inf (const l_interval &) throw () |
Returns the infimum of an l_interval. | |
l_real | mid (const l_interval &) throw () |
Returns the rounded middle of the l_interval. | |
bool | operator! (const l_real &lr) throw () |
Implementation of standard negation operation. | |
bool | operator!= (const l_real &, const l_real &) throw () |
Implementation of standard negated equality operation. | |
bool | operator!= (const real &, const l_real &) throw () |
Implementation of standard negated equality operation. | |
bool | operator!= (const l_real &, const real &) throw () |
Implementation of standard negated equality operation. | |
bool | operator!= (const dotprecision &, const l_real &) throw () |
Implementation of standard negated equality operation. | |
bool | operator!= (const l_real &, const dotprecision &) throw () |
Implementation of standard negated equality operation. | |
bool | operator!= (const interval &, const l_real &) throw () |
Implementation of standard negated equality operation. | |
bool | operator!= (const l_real &, const interval &) throw () |
Implementation of standard negated equality operation. | |
bool | operator!= (const idotprecision &, const l_real &) throw () |
Implementation of standard negated equality operation. | |
bool | operator!= (const l_real &, const idotprecision &) throw () |
Implementation of standard negated equality operation. | |
l_real | operator* (const l_real &, const l_real &) throw () |
Implementation of standard algebraic multiplication operation. | |
l_real | operator* (const l_real &, const real &) throw () |
Implementation of standard algebraic multiplication operation. | |
l_real | operator* (const real &, const l_real &) throw () |
Implementation of standard algebraic multiplication operation. | |
l_real & | operator*= (l_real &, const l_real &) throw () |
Implementation of standard algebraic multiplication and allocation operation. | |
l_real & | operator*= (l_real &, const real &) throw () |
Implementation of standard algebraic multiplication and allocation operation. | |
real & | operator*= (real &, const l_real &) throw () |
Implementation of standard algebraic multiplication and allocation operation. | |
l_real | operator+ (const l_real &lr1) throw () |
Implementation of standard algebraic positive sign operation. | |
l_real | operator+ (const l_real &, const l_real &) throw () |
Implementation of standard algebraic addition operation. | |
l_real | operator+ (const l_real &, const real &) throw () |
Implementation of standard algebraic addition operation. | |
l_real | operator+ (const real &, const l_real &) throw () |
Implementation of standard algebraic addition operation. | |
dotprecision | operator+ (const l_real &, const dotprecision &) throw () |
Implementation of standard algebraic addition operation. | |
dotprecision | operator+ (const dotprecision &, const l_real &) throw () |
Implementation of standard algebraic addition operation. | |
l_real & | operator+= (l_real &, const l_real &) throw () |
Implementation of standard algebraic addition and allocation operation. | |
l_real & | operator+= (l_real &, const real &) throw () |
Implementation of standard algebraic addition and allocation operation. | |
real & | operator+= (real &, const l_real &) throw () |
Implementation of standard algebraic addition and allocation operation. | |
dotprecision & | operator+= (dotprecision &d, const l_real &lr) throw () |
Implementation of standard algebraic addition and allocation operation. | |
l_real | operator- (const l_real &lr1) throw () |
Implementation of standard algebraic negative sign operation. | |
l_real | operator- (const l_real &, const l_real &) throw () |
Implementation of standard algebraic subtraction operation. | |
l_real | operator- (const l_real &, const real &) throw () |
Implementation of standard algebraic subtraction operation. | |
l_real | operator- (const real &, const l_real &) throw () |
Implementation of standard algebraic subtraction operation. | |
dotprecision | operator- (const l_real &, const dotprecision &) throw () |
Implementation of standard algebraic subtraction operation. | |
dotprecision | operator- (const dotprecision &, const l_real &) throw () |
Implementation of standard algebraic subtraction operation. | |
l_real & | operator-= (l_real &, const l_real &) throw () |
Implementation of standard algebraic subtraction and allocation operation. | |
l_real & | operator-= (l_real &, const real &) throw () |
Implementation of standard algebraic subtraction and allocation operation. | |
real & | operator-= (real &, const l_real &) throw () |
Implementation of standard algebraic subtraction and allocation operation. | |
dotprecision & | operator-= (dotprecision &d, const l_real &lr) throw () |
Implementation of standard algebraic subtraction and allocation operation. | |
l_real | operator/ (const l_real &, const l_real &) throw (DIV_BY_ZERO) |
Implementation of standard algebraic division operation. | |
l_real | operator/ (const l_real &, const real &) throw () |
Implementation of standard algebraic division operation. | |
l_real | operator/ (const real &, const l_real &) throw () |
Implementation of standard algebraic division operation. | |
l_real & | operator/= (l_real &, const l_real &) throw () |
Implementation of standard algebraic division and allocation operation. | |
l_real & | operator/= (l_real &, const real &) throw () |
Implementation of standard algebraic division and allocation operation. | |
real & | operator/= (real &, const l_real &) throw () |
Implementation of standard algebraic division and allocation operation. | |
bool | operator< (const l_real &, const l_real &) throw () |
Implementation of standard less-than operation. | |
bool | operator< (const real &, const l_real &) throw () |
Implementation of standard less-than operation. | |
bool | operator< (const l_real &, const real &) throw () |
Implementation of standard less-than operation. | |
bool | operator< (const dotprecision &, const l_real &) throw () |
Implementation of standard less-than operation. | |
bool | operator< (const l_real &, const dotprecision &) throw () |
Implementation of standard less-than operation. | |
bool | operator< (const interval &, const l_real &) throw () |
Implementation of standard less-than operation. | |
bool | operator< (const l_real &, const interval &) throw () |
Implementation of standard less-than operation. | |
bool | operator< (const idotprecision &, const l_real &) throw () |
Implementation of standard less-than operation. | |
bool | operator< (const l_real &, const idotprecision &) throw () |
Implementation of standard less-than operation. | |
std::ostream & | operator<< (std::ostream &, const l_real &) throw () |
Implementation of standard output method. | |
std::string & | operator<< (std::string &, const l_real &) throw () |
Implementation of standard output method. | |
bool | operator<= (const l_real &, const l_real &) throw () |
Implementation of standard less-or-equal-than operation. | |
bool | operator<= (const real &, const l_real &) throw () |
Implementation of standard less-or-equal-than operation. | |
bool | operator<= (const l_real &, const real &) throw () |
Implementation of standard less-or-equal-than operation. | |
bool | operator<= (const dotprecision &, const l_real &) throw () |
Implementation of standard less-or-equal-than operation. | |
bool | operator<= (const l_real &, const dotprecision &) throw () |
Implementation of standard less-or-equal-than operation. | |
bool | operator<= (const interval &, const l_real &) throw () |
Implementation of standard less-or-equal-than operation. | |
bool | operator<= (const l_real &, const interval &) throw () |
Implementation of standard less-or-equal-than operation. | |
bool | operator<= (const idotprecision &, const l_real &) throw () |
Implementation of standard less-or-equal-than operation. | |
bool | operator<= (const l_real &, const idotprecision &) throw () |
Implementation of standard less-or-equal-than operation. | |
bool | operator== (const l_real &, const l_real &) throw () |
Implementation of standard equality operation. | |
bool | operator== (const real &, const l_real &) throw () |
Implementation of standard equality operation. | |
bool | operator== (const l_real &, const real &) throw () |
Implementation of standard equality operation. | |
bool | operator== (const dotprecision &, const l_real &) throw () |
Implementation of standard equality operation. | |
bool | operator== (const l_real &, const dotprecision &) throw () |
Implementation of standard equality operation. | |
bool | operator== (const interval &, const l_real &) throw () |
Implementation of standard equality operation. | |
bool | operator== (const l_real &, const interval &) throw () |
Implementation of standard equality operation. | |
bool | operator== (const idotprecision &, const l_real &) throw () |
Implementation of standard equality operation. | |
bool | operator== (const l_real &, const idotprecision &) throw () |
Implementation of standard equality operation. | |
bool | operator> (const l_real &, const l_real &) throw () |
Implementation of standard greater-than operation. | |
bool | operator> (const real &, const l_real &) throw () |
Implementation of standard greater-than operation. | |
bool | operator> (const l_real &, const real &) throw () |
Implementation of standard greater-than operation. | |
bool | operator> (const dotprecision &, const l_real &) throw () |
Implementation of standard greater-than operation. | |
bool | operator> (const l_real &, const dotprecision &) throw () |
Implementation of standard greater-than operation. | |
bool | operator> (const interval &, const l_real &) throw () |
Implementation of standard greater-than operation. | |
bool | operator> (const l_real &, const interval &) throw () |
Implementation of standard greater-than operation. | |
bool | operator> (const idotprecision &, const l_real &) throw () |
Implementation of standard greater-than operation. | |
bool | operator> (const l_real &, const idotprecision &) throw () |
Implementation of standard greater-than operation. | |
bool | operator>= (const l_real &, const l_real &) throw () |
Implementation of standard greater-or-equal-than operation. | |
bool | operator>= (const real &, const l_real &) throw () |
Implementation of standard greater-or-equal-than operation. | |
bool | operator>= (const l_real &, const real &) throw () |
Implementation of standard greater-or-equal-than operation. | |
bool | operator>= (const dotprecision &, const l_real &) throw () |
Implementation of standard greater-or-equal-than operation. | |
bool | operator>= (const l_real &, const dotprecision &) throw () |
Implementation of standard greater-or-equal-than operation. | |
bool | operator>= (const interval &, const l_real &) throw () |
Implementation of standard greater-or-equal-than operation. | |
bool | operator>= (const l_real &, const interval &) throw () |
Implementation of standard greater-or-equal-than operation. | |
bool | operator>= (const idotprecision &, const l_real &) throw () |
Implementation of standard greater-or-equal-than operation. | |
bool | operator>= (const l_real &, const idotprecision &) throw () |
Implementation of standard greater-or-equal-than operation. | |
std::istream & | operator>> (std::istream &, l_real &) throw () |
Implementation of standard input method. | |
std::string & | operator>> (std::string &, l_real &) throw () |
Implementation of standard input method. | |
void | operator>> (const std::string &, l_real &) throw () |
Implementation of standard input method. | |
void | operator>> (const char *, l_real &) throw () |
Implementation of standard input method. | |
l_interval | operator| (const l_real &, const l_real &) throw () |
Returns the convex hull of the arguments. | |
l_interval | operator| (const real &, const l_real &) throw () |
Returns the convex hull of the arguments. | |
l_interval | operator| (const l_real &, const real &) throw () |
Returns the convex hull of the arguments. | |
idotprecision | operator| (const dotprecision &, const l_real &) throw () |
Returns the convex hull of the arguments. | |
idotprecision | operator| (const l_real &, const dotprecision &) throw () |
Returns the convex hull of the arguments. | |
l_real | rnd_down (const dotprecision &) |
Rounds the argument down to the next l_real value. | |
l_real | rnd_up (const dotprecision &) |
Rounds the argument up to the next l_real value. | |
int | sign (const l_real &) throw () |
The sign of a l_real value. | |
int | StagPrec (const l_real &) throw () |
Returns the precision of the long datatype value. | |
l_real | Sup (const l_interval &) throw () |
Returns the supremum of an l_interval. | |
bool | zero_ (const l_real &) throw () |
Checks if the argument is zero. |
The Multiple-Precision Data Type l_real.
The multiple-precision data type l_real is a variant of the scalar type real, which provides support for longer numbers, thus increasing the accuracy of the data type.
The multiple-precision arithmetic is based on the staggered correction principle briefly described below.
A real staggered correction mulitple-precision number is a vector of C-XSC type real floating-point numbers. The value of a multiple-precision number is the number in that is the exact sum of the components of the vector,
Definition at line 77 of file l_real.hpp.
Deprecated typecast, which only exist for the reason of compatibility with older versions of C-XSC.
real _l_real | ( | const l_rvector_slice & | ) | throw () [friend] |
Deprecated typecast, which only exist for the reason of compatibility with older versions of C-XSC.
Deprecated typecast, which only exist for the reason of compatibility with older versions of C-XSC.
real _l_real | ( | const l_rmatrix_slice & | ) | throw () [friend] |
Deprecated typecast, which only exist for the reason of compatibility with older versions of C-XSC.
int expo_gr | ( | const l_real & | x | ) | [friend] |
Returns the maximum of the expo-function.
x | The value for which to calculate |
Result for a multiple-precisionnumber .
Definition at line 744 of file l_real.cpp.
int expo_sm | ( | const l_real & | x | ) | [friend] |
Returns the minimum of the expo-function.
x | The value for which to calculate |
Result for a multiple-precisionnumber .
Definition at line 725 of file l_real.cpp.