https://github.com/jedbrooke/pi_spigot

Pi On Golem
https://github.com/jedbrooke/pi_spigot

bbp cpp golem pi x86-assembly

Last synced: about 1 month ago
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Pi On Golem

• Host: GitHub
• URL: https://github.com/jedbrooke/pi_spigot
• Owner: jedbrooke
• License: gpl-3.0
• Created: 2022-02-17T07:18:49.000Z (over 2 years ago)
• Default Branch: master
• Last Pushed: 2024-05-07T05:10:39.000Z (6 months ago)
• Last Synced: 2024-10-01T04:31:24.238Z (about 1 month ago)
• Topics: bbp, cpp, golem, pi, x86-assembly
• Language: C
• Homepage:
• Size: 65.4 KB
• Stars: 2
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# 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:

 - [x] figure out why it breaks after around 500mil

 - [x] implement basic [BBP formula](https://en.wikipedia.org/wiki/Bailey%E2%80%93Borwein%E2%80%93Plouffe_formula)

 - [x] look into implementing [Bellard's formula](https://en.wikipedia.org/wiki/Bellard%27s_formula)

 - [x] implement custom 64bit fractional types

    - [x] experiment with *faster* 64bit division

 - [x] **implement *enhanced* arbitrary depth fractional types for more precision**

    - [x] addition

    - [x] multiplication

    - [x] division (based on multiplication with nr/gs)

    - [x] real division with hardware `div` instruction 

    - [x] (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](https://github.com/jedbrooke/pog))