13 unstable releases (6 breaking)
0.7.0 | Apr 6, 2023 |
---|---|
0.6.1 | Nov 17, 2022 |
0.6.0 | Sep 30, 2022 |
0.5.0 | Apr 21, 2022 |
0.1.2 |
|
#384 in Algorithms
2,410 downloads per month
Used in 5 crates
(4 directly)
130KB
3.5K
SLoC
twofloat
A double-double arithmetic library for Rust.
This library provides an implementation of double-double arithmetic for the
Rust language. Note that this is not the same as the IEEE quadruple-precision
floating-point format. Instead, higher precision is obtained by representing
the value as the sum of two non-overlapping f64
values.
Operator traits are implemented both for reference and value types where appropriate. The code indicates the source of the algorithms used.
Mathematical constants are available in the twofloat::consts
module, which
provides the same set of constants as std::f64::consts
.
Please note that the implementation of the mathematical functions (exp
,
powf
, etc.) is very preliminary. In particular, they are calculated using
operations at the same precision as the result, so they will not return values
which are correct to the full precision of the TwoFloat
type. This may be
addressed in future releases.
Optional features
math_funcs
- include mathematical functions (enabled by default)serde
- enable serialization/deserialization with Serde.std
- use std mathematical functions instead of libm.
Known issues
- The MinGW
fma
implementation appears to give incorrect results in some cases, so the libm implementation is always used on this platform.
References
-
Mioara Joldeș, Jean-Michel Muller, Valentina Popescu. Tight and rigourous error bounds for basic building blocks of double-word arithmetic. ACM Transactions on Mathematical Software, Association for Computing Machinery, 2017, 44 (2), pp. 1-27. 10.1145/3121432. hal-01351529v3
-
Alan H. Karp, Peter Markstein. High Precision Division and Square Root. ACM Transactions on Mathematical Software, Association for Computing Machinery, 1997, 23 (4), pp. 561-589. 10.1145/279232.279237.
-
S. Chevillard, M. Joldeș and C. Lauter. Sollya: an environment for the development of numerical codes. Mathematical Software - ICMS 2010, pp. 28–31.
Dependencies
~2MB
~48K SLoC