Product Details
Convergence verification of the Collatz problem
Created: 2024
Collatz conjecture, number theory, computational mathematics
This software contains computer programs implementing a completely new approach to calculating iterates of the Collatz function. The trick is that, when calculating the function iterates, the programs switch between two domains in such a way that they can always use the count trailing zeros (ctz) operation and a small lookup table with pre-computed powers of three. This approach differs significantly from the commonly used approach utilizing a space-time tradeoff using huge lookup tables. The programs can check 128-bit numbers.
MIT License
Copyright (c) 2019-2024 David Barina
Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.