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Project

author

Type Precisions Quire
Support?
Speed Testing Notes
SoftPosit
A*STAR
C library based on Berkeley SoftFloat

C++ wrapper to override operators

Python wrapper using SWIG of SoftPosit
8, 16, 32 published and complete;
Yes ~60 to 110 Mpops/s on x86 core (Broadwell) 8: Exhaustive;
16: Exhaustive except FMA, quire
32: Exhaustive test is still in progress.
No known bugs.
Fastest and most comprehensive C library for posits presently. Open source license. Designed for plug-in comparison of IEEE floats and posits.
posit4.nb

A*STAR

Mathematica notebook All Yes < 80 kpops/s Exhaustive for low precisions. No known bugs. Original definition and prototype. Most complete environment for comparing IEEE floats and posits. Open source (MIT license). Many examples of use, including linear solvers
posit-javascript

A*STAR

JavaScript widget Convert decimal to posit 6, 8, 16, 32; generate tables 2–17 with es 1–4. NA NA; interactive widget Fully tested Table generator and conversion
Universal

Stillwater Supercomputing, Inc

C++ template library

C library

Python wrapper

Golang library
Arbitrary precision posit float valid (p)
Unum type 1 (p)
Unum type 2 (p)
Arbitrary quire configurations with programmable capacity posit<4,0> 1GPOPS
posit<8,0> 130MPOPS
posit<16,1> 115MPOPS
posit<32,2> 105MPOPS
posit<64,3>
50MPOPS
posit<128,4>
1MPOPS
posit<256,5>
800KPOPS
Complete validation suite for arbitrary posits

Randoms for large posit configs.

Uses induction to prove nbits+1 is correct

no known bugs
Open source. MIT license

fully integrated with C/C++ types and automatic conversions

Supports full C++ math library (native and conversion to/from IEEE)

Runtime integrations: MTL4/MTL5, Eigen, Trilinos, HPR-BLAS

Application integrations:
G+SMO, FDBB, FEniCS, ODEintV2, TVM.ai

Hardware Accelerator integration (Xilinx, Intel, Achronix)
Speedgo

Chung Shin Yee

Python library All No ~20 Mpops/s Extensive; no known bugs Open source (MIT license)
Softposit Bindings for Racket

David Thien

Racket Based on softposit Yes Unknown Unknown
Softfloat and softposit in Python

Bill Zorn

Python library Based on softposit Yes ~20-45 Mpops/s on 4.9 GHz Skylake core Unknown
Octave Implementation Diego Coelho Octave Implementation All No Unknown Limited Testing; no known bugs GNU General Public License
Sigmoid Numbers

Isaac Yonemoto

Julia library All <32, all ES Yes Unknown No known bugs (posits).
Division bugs (valids)
Leverages Julia’s templated mathematics standard library, can natively do matrix and tensor operations, complex numbers, FFT, DiffEQ. Support for valids
FastSigmoid

Isaac Yonemoto

Julia and C/C++ library 8, 16, 32, all ES No Unknown Known bug in 32-bit multiplication Used by LLNL in shock studies
SoftPosit for Julia Milan Klöwer Julia library Based on softposit;
8-bit (es=0..2)

16-bit (es=0..2)

24-bit (es=1..2)

32-bit
(es=2)
Yes Similar to
A*STAR
“SoftPosit”
(Cerlane Leong)
Yes:
Posit (8,0),
Posit (16,1),
Posit (32,2)

Other formats lack full functionality
Supports basic linear algebra functions in Julia (Matrix multiplication, Matrix solve, Elgen decomposition, etc)

Open source. Issues and suggestions on github.


This project was developed due to the fact that SigmoidNumbers and FastSigmoid by Isaac Yonemoto is not maintained currently.
PySigmoid

Ken Mercado

Python library All Yes < 20 Mpops/s Unknown Open source (MIT license). Easy-to-use interface. Neural net example. Comprehensive functions support.
Jorge Aparicio Rust library 8 (es = 1) No Unknown Unknown, but probably exhaustive Very small subset of posit environment
Emanuele Ruffaldi C++ library 4 to 64 (any es value); “Template version is 2 to 63 bits” No Unknown A few basic tests 4 levels of operations working with posits. Special support for NaN types (nonstandard)
bfp:Beyond Floating Point

Clément Guérin

C++ library Any No Unknown Bugs found; status of fixes unknown Supports + – × ÷ √ reciprocal, negate, compare
Verilog.jl

Isaac Yonemoto

Julia and Verilog 8, 16, 32, ES=0 No Unknown Comprehensively tested for 8-bit, no known bugs Intended for Deep Learning applications Addition, Subtraction and Multiplication only. A proof of concept matrix multiplier has been built, but is off-spec in its precision
Lombiq Arithmetics

Lombiq Technologies

C# with Hastlayer for hardware generation 8, 16, 32.
(64bits in progress)
Yes 10 Mpops/s
Click here for more
Partial Requires Microsoft .Net APIs
Deepfloat
Jeff Johnson, Facebook
SystemVerilog Any (parameterized SystemVerilog) Yes N/A
(RTL for FPGA/ASIC designs)
Limited Doesn’t strictly conform to posit spec.
Supports +,-,/,*. Implements both logarithmic posit and normal, “linear” posits

License: CC-BY-NC 4.0 at present
Tokyo Tech FPGA 16, 32, extendable No “2 GHz”, not translated to Mpops/s Partial; known rounding bugs Yet to be open-source
PACoGen: Posit Arthmetic Core Generator
Manish Kumar Jaiswal
Verilog HDL for Posit Arithmetic Any Precision.
Able to generate any combination of word-size (N) and exponent-size (ES)
No Speed of design is based on the underlying hardware platform (ASIC/FPGA) Exhaustive tests for 8-bit posi.
Multi-million random tests are performed for up to 32-bit posit with various ES combinations
It supports rounding-to-nearest rounding method.
Vinay Saxena, Research and Technology Centre, Robert Bosch, India (RTC-IN) and Farhad Merchant, RWTH Aachen University Verilog generator for VLSI, FPGA All No Similar to floats of same bit size N=8
- ES=2 | N=7,8,9,10,11,12
Selective (20000*65536) combinations for
- ES=1 | N=16
To be used in commercial products. To the best of our knowledge.


***First ever integration of posits in RISC-V***
Posit Enabled RISC-V Core
(Sugandha Tiwari, Neel Gala, Chester Rebeiro, V.Kamakoti, IIT MADRAS)
BSV (Bluespec System Verilog) Implementation 32-bit posit with (es=2) and (es=3) No N/A Verified against SoftPosit for (es=2) and tested with several applications for (es=2) and (es=3). No known bugs. First complete posit capable RISC-V core. Supports dynamic switching between (es=2) and (es=3).
More info here.
unumjl

REX Computing

FPGA version of the “Neo” VLIW processor with posit numeric unit 32 No ~1.2 Gpops/s Extensive; no known bugs No divide or square root. First full processor design to replace floats with posits.
PNU: Posit Numeric Unit
Calligo Tech
FPGA; first working posit hardware 32 Claimed, not yet tested ~0.5 Mpops/s Extensive tests, not exhaustive. No known bugs. Single-op accelerator approach; allows direct execution of C codes written for floats. + – × tested; ÷ √ claimed
IBM-TACC

Jianyu Chen

Specific-purpose FPGA 32 Yes 16–64 Gpops/s Only one known case tested Does 128-by-128 matrix-matrix multiplication (SGEMM) using quire.
Deep PeNSieve

Raul Murillo

Python library (software) 8, 16, 32 Yes Unknown Unknown A DNN framework using posits