GMP Integer Storage
GMP integers are stored in compact form, starting with a variable byte code*Reality check: a single byte VBC represents numbers up to 63, 63 bytes of storage represents over 500 bits, or numbers ranging up to ±10150, aka sufficient.
indicating the number of bytes used to represent the integer, followed by the value with most significant byte first. The most significant bit*of the first, most significant, byte
indicates the sign of the stored integer: set is negative. The sign bit is not included in the value of the integer. When necessary, a zero value most significant byte is prepended to achieve the required sign bit.Rational fractions are stored as two integers, with two variable length byte encoded sizes: the first telling the size of the remaining size code plus the size of both integers
*aka total bytes remaining in the object, as is standard for all variable sized data items
followed by a variable byte encoded size of the numerator storage, followed by the numerator and denominator.
Assign Onward
12 August 2018
MIT License
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Copyright (c) 2018 Assign Onward
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.