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The version presented below is also known as the '''Brent–Salamin (or Salamin–Brent) algorithm'''; it was independently discovered in 1975 by [[Richard Brent (scientist) | Richard Brent]] and [[Eugene Salamin (mathematician)|Eugene Salamin]]. It was used to compute the first 206,158,430,000 decimal digits of π on September 18 to 20, 1999, and the results were checked with [[Borwein's algorithm]].
==Algorithm ==
1. Initial value setting:
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