vpa_test

vpa_test, an Octave code which uses the Symbolic package to perform high precision computations.

Evaluating a symbolic variable means creating a representation of its value, to a given number of digits, as a floating point number.

Licensing:

The computer code and data files made available on this web page are distributed under the BSD license.

Languages:

vpa_test is available in a MATLAB version and an Octave version.

Reference:

1. David Bailey, Jonathan Borwein,
   Experimental Mathematics: Examples, Methods and Implications,
   Notices of the American Mathematical Society,
   Volume 52, Number 5, pages 502-514.
2. David Bailey, Karthik Jeyabalan, Xiaoye Li,
   A Comparison of Three High-Precision Quadrature Schemes,
   Experimental Mathematics,
   Volume 14, Number 3, pages 317-329.
3. Cleve Moler,
   Cleve's Corner: Computing Pi,
   MATLAB News and Notes,
   February 2012.

Source Code:

• vpa_test.m, calls all the tests.
• vpa_test.sh, runs all the tests.
• vpa_test.txt, the output file.

computing_pi is a collection of three functions discussed by Cleve Moler for computing pi to many digits.

• agm_pi.m, uses the arithmetic-geometric mean algorithm.
• agm_pi_test.m, tests agm_pi.
• bbp_pi.m, uses the Bailey-Borwein-Plouffe algorithm.
• bbp_pi_test.m, tests bbp_pi.
• chud_pi.m, uses the Chudnovsky algorithm.
• chud_pi_test.m, tests chud_pi.