Big Floatingpoint Numbers

Remark: In contrast to Algebraic Real Numbers, computations based on Big Floating Point Numbers are not performed exactly. Like for the built-in types float and double, the results of the arithmetic operations are rounded. However, in contrast to double the rounding precision can be arbitrary large.

Example

#include <LEDA/numbers/bigfloat.h>

using namespace leda;

int main()
{
  bigfloat bf1=3.1414;
  bigfloat bf2(23,117);
  bigfloat bf3=sqrt_d(bf1,10,3);

  std::cout << "bf1=" << bf1 << std::endl;
  std::cout << "bf2=" << bf2 << std::endl;
  std::cout << "bf3=" << bf3 << std::endl;

  return 0;
}

Strengths

• arbitrary precision instead of single (float), respectively double (double), precision
• can be used like double and together with built-in number types
• special values +/- 0, +/- infinity, and NaN (=not a number) defined
• different rounding modes available
• different arithmetic operations predefined

Disadvantages

• about 60-200 times slower than double depending on chosen rounding precision
• quite difficult to use

Tips

See also:

Integers of Arbitrary Length

Algebraic Real Numbers

Rational Numbers

Floating Point Filter

Interval Arithmetic

Vectors and Matrices with Integer Entries

Vectors and Matrices with Double Entries

Rational Vectors

Functions of numerical analysis

Manual Entries:

Manual Page Big Floatingpoint Numbers