#DidYouKnow: The #Chudnovsky #Algorithm is a fast method for calculating the digits of π, based on #Ramanujan's π formulae. It was published by the Chudnovsky brothers in 1988.
It was used in the world record calculations of 100 trillion digits of π on March 21, 2022.
算 π 的 Chudnovsky algorithm
在 Mastodon 上面看到 Rob Pike 提到計算圓周率 π 的 Chudnovsky algorithm：(原始連結在 https://hachyderm.io/@robpike/112794329524261491)
照維基百科的說明，應該是目前收斂速度最快的演算法群之一，從近期的世界紀錄可以常常看到這個演算法：
It was used in the world record calculations of 2.7 trillion digits of π in December 2009,
https://blog.gslin.org/archives/2024/07/18/11897/%e7%ae%97-%cf%80-%e7%9a%84-chudnovsky-algorithm/
#Computer #Murmuring #Programming #algorithm #chudnovsky #math #mathematics #pi #pike #rob
Attached: 1 image Wow, Chudnovsky's algorithm converges fast! I put it into ivy (code in the alt text) and the first term alone is good to 10 digits. Each term adds 30+ bits to the precision. Here the argument to chudpi is how many terms to sum. )get 'chudpi.ivy' chudpi 0 3.1415926535897342076684535915782983407622 log pi - chudpi 0 -30.4607171517456828366955039144850114298603 log pi - chudpi 10 -357.9935248416118262945083838384929862494035
Calculating Pi to high precision in a web browser
#PiDay #Chudnovsky #SrinivasaRamanujan #MadhavaOfSangamagrama #NationalMathematicsDayhttp://www.i4cy.com/article/pi/default.aspx
[27/12/2019]
#DidYouKnow: The #Chudnovsky #Algorithm is a fast method for calculating the digits of π, based on #Ramanujan's π formulae. It was published by the Chudnovsky brothers in 1988.
It was used in the world record calculations of 100 trillion digits of π on March 21, 2022.
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