Emulate rounding to the nearest integer.

This implementation works by adding a large value which makes the
fractional part no longer fit in the mantissa, and then subtracting it
again. It matches nearbyint() for values up to 2^22, positive or
negative.

The 'magic number' of 0x00C00000 is derived by first observing that the
integer values 0x00800000 to 0x00FFFFFF can be represented exactly in
single-precision floating-point format but can't have a fractional part
because there are 24 mantissa bits (the top one being hidden). So when
adding 0x00800000 to for example 0.6, it forces the hardware to round it
to the nearest representable integer, being 0x00800001. Subtracting 
0x00800000 again gives us 1.0. This works for rounding any value from
0.0 to 0x007FFFFF. However, it doesn't work for negative values, because
the intermediate result would be less than 0x00800000 and thus leave
some room for fractional bits in the mantissa. The solution is to use
0x00C00000 instead so the range gets split between positive and negative
values.

Note that values greater than the upper bound will still round to
integers, but not the nearest ones, while values less than the lower
bound can result in fractional values.

Bug b/37495485

Change-Id: I1aed2d831269fcf21b8d3313856a9b9756a532ef
Reviewed-on: https://swiftshader-review.googlesource.com/9488
Reviewed-by: Nicolas Capens <capn@google.com>
Reviewed-by: Corentin Wallez <cwallez@google.com>
Tested-by: Nicolas Capens <capn@google.com>
1 file changed
tree: c4c7af1b7a9a04bea2b06913198cfbad1267b524
  1. .vscode/
  2. docs/
  3. include/
  4. src/
  5. tests/
  6. third_party/
  7. .dir-locals.el
  8. .gitignore
  9. .gitmodules
  10. Android.mk
  11. AUTHORS.txt
  12. BUILD.gn
  13. CMakeLists.txt
  14. CONTRIBUTING.txt
  15. CONTRIBUTORS.txt
  16. DEPS
  17. LICENSE.txt
  18. OWNERS
  19. README.google
  20. README.md
  21. README.version
  22. SwiftShader.sln
README.md

SwiftShader

Introduction

SwiftShader is a high-performance CPU-based implementation of the OpenGL ES and Direct3D 9 graphics APIs12. Its goal is to provide hardware independence for advanced 3D graphics.

Usage

The SwiftShader libraries act as drop-in replacements for graphics drivers.

On Windows, most applications can be made to use SwiftShader's DLLs by placing them in the same folder as the executable. On Linux, the LD_LIBRARY_PATH environment variable or -rpath linker option can be used to direct applications to search for shared libraries in the indicated directory first.

Prebuilt binaries can be found at: https://goo.gl/5MOcdb

Contributing

See CONTRIBUTING.txt for important contributing requirements.

The canonical repository for SwiftShader is hosted at: https://swiftshader.googlesource.com/SwiftShader

All changes must be reviewed and approved in the Gerrit review tool at: https://swiftshader-review.googlesource.com

Authenticate your account here: https://swiftshader-review.googlesource.com/new-password

All changes require a Change-ID tag in the commit message. A commit hook may be used to add this tag automatically, and can be found at: https://gerrit-review.googlesource.com/tools/hooks/commit-msg. To clone the repository and install the commit hook in one go:

git clone https://swiftshader.googlesource.com/SwiftShader && (cd SwiftShader && curl -Lo `git rev-parse --git-dir`/hooks/commit-msg https://gerrit-review.googlesource.com/tools/hooks/commit-msg ; chmod +x `git rev-parse --git-dir`/hooks/commit-msg)

Changes are uploaded to Gerrit by performing:

git push origin HEAD:refs/for/master

Documentation

See docs/Index.md.

Contact

Public mailing list: swiftshader@googlegroups.com

Bug tracker: https://bugs.chromium.org/p/swiftshader

License

The SwiftShader project is licensed under the Apache License Version 2.0. You can find a copy of it in LICENSE.txt.

Files in the third_party folder are subject to their respective license.

Authors and Contributors

The legal authors for copyright purposes are listed in AUTHORS.txt.

CONTRIBUTORS.txt contains a list of names of individuals who have contributed to SwiftShader. If you're not on the list, but you've signed the Google CLA and have contributed more than a formatting change, feel free to request to be added.

Disclaimer

  1. Trademarks are the property of their respective owners.
  2. We do not claim official conformance with any graphics APIs at this moment.
  3. This is not an official Google product.