hobbes1069 / imath

Imath is a C++ and python library of 2D and 3D vector, matrix, and math operations for computer graphics

Imath

Imath is a basic, light-weight, and efficient C++ representation of 2D and 3D vectors and matrices and other simple but useful mathematical objects, functions, and data types common in computer graphics applications, including the “half” 16-bit floating-point type.

Imath also includes optional python bindings for all types and functions, including optimized implementations of vector and matrix arrays.

Project Mission

The goals of the Imath project are simplicity, ease of use, correctness and verifiability, performance, and breadth of adoption. Imath is not intended to be a comprehensive linear algebra or numerical analysis package.

Features

• half: 16-bit floating-point type
• Vector: V2s, V2i, V2i64, V2f, V2d, V3s, V3i, V4i64, V3f, V3d, V4s, V4i, V4i64, V4f, V4d
• Matrix: M22f, M22d, M33f, M33d, M44f, M44d
• Bounding box: Box2s, Box2i, Box2i64, Box2f, Box2d, Box3s, Box3i, Box3i64, Box3f, Box3d
• Color: C3h, C3f, C3c, C4f, C4h, C4c
• Euler angles: Eulerf, Eulerd
• Quaternion: Quatf, Quatd
• Viewing frustum: Frustrumf, Frustumd
• Interval: Intervals, Intervali, Intervalf, Intervald
• Line: Line3f, Line3d
• Plane: Plane3f, Plane3d
• Sphere: Sphere3f, Sphere3d
• Shear: Shear3f, Shear3d, Shear6f, Shear6
• Miscellaneous math functions

New Features in 3.1

The 3.1 release of Imath introduces optimized half-to-float and float-to-half conversion using the F16C SSE instruction set extension, if available. These single-instruction conversions offer a 5-10x speedup for float-to-half and 2x speedup for half-to-float over Imath/half's traditional table-based conversion (timings depend on the data).

In the absence of the F16C instruction set, the lookup-table-based conversion from half to float is still the default, but Imath 3.1 also introduces an optimized bit-shift conversion algorithm as a compile-time option that does not require lookup tables, for architectures where memory is limited. The float-to-half conversion also no longer requires an exponent lookup table, further reducing memory requirements.

These new conversions generate the same values as the tranditional methods, which ensures backwards compatibility. See INSTALL.md for more installation and configuation options.

Also, half.h can now be included in pure C code for a definition of the type and for conversions between half and float.

Supported Platforms

Imath builds on Linux, macOS, Microsoft Windows, and is cross-compilable on other systems.

About Imath

Imath was originally developed at Industrial Light & Magic in the early 2000's and was originally distributed as open source as a part of the OpenEXR project.

Imath continues to be maintained as a sub-project of OpenEXR, which is now a project of the Academy Software Foundation. See the OpenEXR project's GOVERNANCE.md for more information about how the project operates.

The OpenEXR project is dedicated to promoting a harassment-free community. Read our code of conduct.

Developer Quick Start

Technical documentation for the Imath classes and functions can be found at imath.readthedocs.io.

See INSTALL.md for instructions on downloading and building Imath from source.

If you encounter problems compiling code or building projects written with an earlier release of Imath, the porting guide explains some of the differences and how to address them.

A Note about Versioning

Because Imath was originally distributed as a part of OpenEXR, it has already had two major release versions, as a part of OpenEXR v1.* and v2.*. To avoid confusion with these original releases, the first version of Imath released independently of OpenEXR is Version v3.0. To be clear, the versioning and release of Imath is no longer tied to OpenEXR.

Getting Help

Connect with the project through:

• The [email protected] mail list: This is a development focused mail list with a deep history of technical conversations and decisions that have shaped the project. Subscribe at [email protected].

• Slack: #openexr

• GitHub Issues: GitHub issues are used both to track bugs and to discuss feature requests. Submit an issue here: https://github.com/AcademySoftwareFoundation/imath/issues.

Getting Involved

The OpenEXR developer community welcomes contributions to the project. See CONTRIBUTING.md for more information about contributing to Imath and OpenEXR.

License

Imath is released under OpenEXR's BSD-3-Clause license.

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