Projects / Calculating Pi

Calculating Pi is a project for the calculation of the mathematical constant Pi through various methods. Mathematicians and programmers are encouraged to contribute ideas or code for this project.

Tags | Scientific/Engineering Mathematics Visualization |
---|---|

Licenses | GPL |

Operating Systems | OS Independent |

Implementation | C PHP C++ |

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- 23 Jan 2004 13:38

**Release Notes:** This release works on OpenMosix clusters by testing the number of nodes
and spawning a proportional number of processes, each of which computes
a certain portion of the decimal representation of PI.

- 21 Jun 2003 16:20

**Release Notes:** If y=1/((a^2)*(x^2)), then integral (y)dx=arctan(x/a)+c, where 'a' is
a constant and 'c' is the integration constant. When the y vs. x curve
is drawn, the area under the curve from x=0 to x=a is
[arctan(a/a)-arctan(0/a)]=pi/4. In this program, the area under the
above mentioned curve from x=0 to x=a is calculated by dividing the
area into a number of thin strips. The width of each strip along the
x-axis is unity. The value of 'a' should be input by the user. The sum
of the area of all the strips is multiplied by 4 to calculate the
approximate value of pi.

- 14 May 2003 00:33

**Release Notes:** This branch computes decimal digits of PI using the Plouffe and
Bellard Algorithm. It outputs the results to several temporary files
and compiles a .txt file from them.

- 29 Jan 2003 13:17

**Release Notes:** This program calculates pi by using infinite series developed by Ramanujan. This formula has 8 digits of precision per iteration. This version of the also program uses GMP.

- 08 Jan 2003 12:55

**Release Notes:** In this solving method, a regular polygon having "n" sides
is inscribed within a circle of known radius and another regular
polygon with the same number of sides is circumscribed around the
circle. As the value of "n" is increased, the average value of the
perimeters of the two regular polygons approach the circumference of
the circle. The average when divided by the diameter of the circle
gives the approximate value of Pi.