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pi_spigot's Introduction

Pi Spigot

a high performance pi spigot for finding far out digits of pi

this pi spigot uses high performance C++ and inline x86 asm to find far out digits of pi in base 16.

current performance:

50 hexits around the 1millionth hexit: 1.5s

Usage:

./pi_spigot [-f] n [range (default 50)]

n is the starting position to find hexits from, range is how many hexits to find

the -f flag will make the program output all hexits from 0 to n

TODO:

  • figure out why it breaks after around 500mil
  • implement basic BBP formula
  • look into implementing Bellard's formula
  • implement custom 64bit fractional types
    • experiment with faster 64bit division
  • implement enhanced arbitrary depth fractional types for more precision
    • addition
    • multiplication
    • division (based on multiplication with nr/gs)
    • real division with hardware div instruction
    • (optional side quest) experiment with generalising to arbitrary bit debth
  • parallelize with multi-threading
    • (optional side quest) gpu accelerated version
  • speed up with avx
  • distribute over many systems with Golem's yapapi (see POG)

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