%global _empty_manifest_terminate_build 0 Name: python-opensimplex Version: 0.4.4 Release: 1 Summary: OpenSimplex is a noise generation function like Perlin or Simplex noise, but better. License: MIT URL: https://github.com/lmas/opensimplex Source0: https://mirrors.nju.edu.cn/pypi/web/packages/64/7f/c4752a9b3c81fd65b4b59ae4fe3e0369f4197865bb35a691114219d23924/opensimplex-0.4.4.tar.gz BuildArch: noarch Requires: python3-numpy %description # OpenSimplex Noise [![build-status](https://github.com/lmas/opensimplex/workflows/Tests/badge.svg?branch=master)](https://github.com/lmas/opensimplex/actions) [![pypi-version](https://img.shields.io/pypi/v/opensimplex?label=Version)](https://pypi.org/project/opensimplex/) [![pypi-downloads](https://img.shields.io/pypi/dm/opensimplex?label=Downloads)](https://pypistats.org/packages/opensimplex) [OpenSimplex] is a noise generation function like [Perlin] or [Simplex] noise, but better. OpenSimplex noise is an n-dimensional gradient noise function that was developed in order to overcome the patent-related issues surrounding Simplex noise, while continuing to also avoid the visually-significant directional artifacts characteristic of Perlin noise. - Kurt Spencer This is merely a python port of Kurt Spencer's [original code] (released to the public domain) and neatly wrapped up in a package. [OpenSimplex]: https://en.wikipedia.org/wiki/OpenSimplex_noise [Perlin]: https://en.wikipedia.org/wiki/Perlin_noise [Simplex]: https://en.wikipedia.org/wiki/Simplex_noise [original code]: https://gist.github.com/KdotJPG/b1270127455a94ac5d19 ## Status The `master` branch contains the latest code (possibly unstable), with automatic tests running for **Python 3.8, 3.9, 3.10 on Linux, MacOS and Windows**. Please refer to the [version tags] for the latest stable version. [version tags]: https://github.com/lmas/opensimplex/tags Updates for **v0.4+**: - Adds a hard dependency on 'Numpy', for array optimizations aimed at heavier workloads. - Adds optional dependency on 'Numba', for further speed optimizations using caching (currently untested due to issues with llvmlite). - Adds typing support. - General refactor and cleanup of the library, tests and docs. - **Breaking changes: API functions uses new names.** ## Contributions Bug reports, bug fixes and other issues with existing features of the library are welcomed and will be handled during the maintainer's free time. New stand-alone examples are also accepted. However, pull requests with new features for the core internals will not be accepted as it eats up too much weekend time, which I would rather spend on library stability instead. ## Usage **Installation** pip install opensimplex **Basic usage** >>> import opensimplex >>> opensimplex.seed(1234) >>> n = opensimplex.noise2(x=10, y=10) >>> print(n) 0.580279369186297 **Running tests and benchmarks** Setup a development environment: make dev source devenv/bin/activate make deps And then run the tests: make test Or the benchmarks: make benchmark For more advanced examples, see the files in the [tests](./tests/) and [examples](./examples/) directories. ## API **opensimplex.seed(seed)** Seeds the underlying permutation array (which produces different outputs), using a 64-bit integer number. If no value is provided, a static default will be used instead. seed(13) **random_seed()** Works just like seed(), except it uses the system time (in ns) as a seed value. Not guaranteed to be random so use at your own risk. random_seed() **opensimplex.noise2(x, y)** Generate 2D OpenSimplex noise from X,Y coordinates. :param x: x coordinate as float :param y: y coordinate as float :return: generated 2D noise as float, between -1.0 and 1.0 >>> noise2(0.5, 0.5) -0.43906247097569345 **opensimplex.noise2array(x, y)** Generates 2D OpenSimplex noise using Numpy arrays for increased performance. :param x: numpy array of x-coords :param y: numpy array of y-coords :return: 2D numpy array of shape (y.size, x.size) with the generated noise for the supplied coordinates >>> rng = numpy.random.default_rng(seed=0) >>> ix, iy = rng.random(2), rng.random(2) >>> noise2array(ix, iy) array([[ 0.00449931, -0.01807883], [-0.00203524, -0.02358477]]) **opensimplex.noise3(x, y, z)** Generate 3D OpenSimplex noise from X,Y,Z coordinates. :param x: x coordinate as float :param y: y coordinate as float :param z: z coordinate as float :return: generated 3D noise as float, between -1.0 and 1.0 >>> noise3(0.5, 0.5, 0.5) 0.39504955501618155 **opensimplex.noise3array(x, y, z)** Generates 3D OpenSimplex noise using Numpy arrays for increased performance. :param x: numpy array of x-coords :param y: numpy array of y-coords :param z: numpy array of z-coords :return: 3D numpy array of shape (z.size, y.size, x.size) with the generated noise for the supplied coordinates >>> rng = numpy.random.default_rng(seed=0) >>> ix, iy, iz = rng.random(2), rng.random(2), rng.random(2) >>> noise3array(ix, iy, iz) array([[[0.54942818, 0.54382411], [0.54285204, 0.53698967]], [[0.48107672, 0.4881196 ], [0.45971748, 0.46684901]]]) **opensimplex.noise4(x, y, z, w)** Generate 4D OpenSimplex noise from X,Y,Z,W coordinates. :param x: x coordinate as float :param y: y coordinate as float :param z: z coordinate as float :param w: w coordinate as float :return: generated 4D noise as float, between -1.0 and 1.0 >>> noise4(0.5, 0.5, 0.5, 0.5) 0.04520359600370195 **opensimplex.noise4array(x, y, z, w)** Generates 4D OpenSimplex noise using Numpy arrays for increased performance. :param x: numpy array of x-coords :param y: numpy array of y-coords :param z: numpy array of z-coords :param w: numpy array of w-coords :return: 4D numpy array of shape (w.size, z.size, y.size, x.size) with the generated noise for the supplied coordinates >>> rng = numpy.random.default_rng(seed=0) >>> ix, iy, iz, iw = rng.random(2), rng.random(2), rng.random(2), rng.random(2) >>> noise4array(ix, iy, iz, iw) array([[[[0.30334626, 0.29860705], [0.28271858, 0.27805178]], [[0.26601215, 0.25305428], [0.23387872, 0.22151356]]], [[[0.3392759 , 0.33585534], [0.3343468 , 0.33118285]], [[0.36930335, 0.36046537], [0.36360679, 0.35500328]]]]) ## FAQ - What does the distribution of the noise values look like? ![Noise Distribution](https://github.com/lmas/opensimplex/raw/master/images/distribution.png) - Is this relevantly different enough to avoid any real trouble with the original patent? > If you read the [patent > claims](http://www.google.com/patents/US6867776): > > Claim #1 talks about the hardware-implementation-optimized > gradient generator. Most software implementations of Simplex Noise > don't use this anyway, and OpenSimplex Noise certainly doesn't. > > Claim #2(&3&4) talk about using (x',y',z')=(x+s,y+s,z+s) where > s=(x+y+z)/3 to transform the input (render space) coordinate onto > a simplical grid, with the intention to make all of the > "scissor-simplices" approximately regular. OpenSimplex Noise (in > 3D) uses s=-(x+y+z)/6 to transform the input point to a point on > the Simplectic honeycomb lattice so that the simplices bounding > the (hyper)cubes at (0,0,..,0) and (1,1,...,1) work out to be > regular. It then mathematically works out that s=(x+y+z)/3 is > needed for the inverse transform, but that's performing a > different (and opposite) function. > > Claim #5(&6) are specific to the scissor-simplex lattice. Simplex > Noise divides the (squashed) n-dimensional (hyper)cube into n! > simplices based on ordered edge traversals, whereas OpenSimplex > Noise divides the (stretched) n-dimensional (hyper)cube into n > polytopes (simplices, rectified simplices, birectified simplices, > etc.) based on the separation (hyper)planes at integer values of > (x'+y'+z'+...). > > Another interesting point is that, if you read all of the claims, > none of them appear to apply to the 2D analogue of Simplex noise > so long as it uses a gradient generator separate from the one > described in claim #1. The skew function in Claim #2 only > applies to 3D, and #5 explicitly refers to n>=3. > > And none of the patent claims speak about using surflets / > "spherically symmetric kernels" to generate the "images with > texture that do not have visible grid artifacts," which is > probably the biggest similarity between the two algorithms. > > - **Kurt**, on [Reddit]. [Reddit]: https://www.reddit.com/r/proceduralgeneration/comments/2gu3e7/like_perlins_simplex_noise_but_dont_like_the/ckmqz2y ## Credits - Kurt Spencer - Original work - Owen Raccuglia - Test cases, [Go Module] - /u/redblobgames - Fixed conversion for Java's long type, see [Reddit] And all the other Github [Contributors] and [Bug Hunters]. Thanks! [Go Module]: https://github.com/ojrac/opensimplex-go [Reddit]: https://old.reddit.com/r/proceduralgeneration/comments/327zkm/repeated_patterns_in_opensimplex_python_port/cq8tth7/ [Contributors]: https://github.com/lmas/opensimplex/graphs/contributors [Bug Hunters]: https://github.com/lmas/opensimplex/issues?q=is%3Aclosed ## License While the original work was released to the public domain by Kurt, this package is using the MIT license. Please see the file LICENSE for details. ## Example Output More example code and trinkets can be found in the [examples] directory. [examples]: https://github.com/lmas/opensimplex/tree/master/examples Example images visualising 2D, 3D and 4D noise on a 2D plane, using the default seed: **2D noise** ![Noise 2D](https://github.com/lmas/opensimplex/raw/master/images/noise2d.png) **3D noise** ![Noise 3D](https://github.com/lmas/opensimplex/raw/master/images/noise3d.png) **4D noise** ![Noise 4D](https://github.com/lmas/opensimplex/raw/master/images/noise4d.png) %package -n python3-opensimplex Summary: OpenSimplex is a noise generation function like Perlin or Simplex noise, but better. Provides: python-opensimplex BuildRequires: python3-devel BuildRequires: python3-setuptools BuildRequires: python3-pip %description -n python3-opensimplex # OpenSimplex Noise [![build-status](https://github.com/lmas/opensimplex/workflows/Tests/badge.svg?branch=master)](https://github.com/lmas/opensimplex/actions) [![pypi-version](https://img.shields.io/pypi/v/opensimplex?label=Version)](https://pypi.org/project/opensimplex/) [![pypi-downloads](https://img.shields.io/pypi/dm/opensimplex?label=Downloads)](https://pypistats.org/packages/opensimplex) [OpenSimplex] is a noise generation function like [Perlin] or [Simplex] noise, but better. OpenSimplex noise is an n-dimensional gradient noise function that was developed in order to overcome the patent-related issues surrounding Simplex noise, while continuing to also avoid the visually-significant directional artifacts characteristic of Perlin noise. - Kurt Spencer This is merely a python port of Kurt Spencer's [original code] (released to the public domain) and neatly wrapped up in a package. [OpenSimplex]: https://en.wikipedia.org/wiki/OpenSimplex_noise [Perlin]: https://en.wikipedia.org/wiki/Perlin_noise [Simplex]: https://en.wikipedia.org/wiki/Simplex_noise [original code]: https://gist.github.com/KdotJPG/b1270127455a94ac5d19 ## Status The `master` branch contains the latest code (possibly unstable), with automatic tests running for **Python 3.8, 3.9, 3.10 on Linux, MacOS and Windows**. Please refer to the [version tags] for the latest stable version. [version tags]: https://github.com/lmas/opensimplex/tags Updates for **v0.4+**: - Adds a hard dependency on 'Numpy', for array optimizations aimed at heavier workloads. - Adds optional dependency on 'Numba', for further speed optimizations using caching (currently untested due to issues with llvmlite). - Adds typing support. - General refactor and cleanup of the library, tests and docs. - **Breaking changes: API functions uses new names.** ## Contributions Bug reports, bug fixes and other issues with existing features of the library are welcomed and will be handled during the maintainer's free time. New stand-alone examples are also accepted. However, pull requests with new features for the core internals will not be accepted as it eats up too much weekend time, which I would rather spend on library stability instead. ## Usage **Installation** pip install opensimplex **Basic usage** >>> import opensimplex >>> opensimplex.seed(1234) >>> n = opensimplex.noise2(x=10, y=10) >>> print(n) 0.580279369186297 **Running tests and benchmarks** Setup a development environment: make dev source devenv/bin/activate make deps And then run the tests: make test Or the benchmarks: make benchmark For more advanced examples, see the files in the [tests](./tests/) and [examples](./examples/) directories. ## API **opensimplex.seed(seed)** Seeds the underlying permutation array (which produces different outputs), using a 64-bit integer number. If no value is provided, a static default will be used instead. seed(13) **random_seed()** Works just like seed(), except it uses the system time (in ns) as a seed value. Not guaranteed to be random so use at your own risk. random_seed() **opensimplex.noise2(x, y)** Generate 2D OpenSimplex noise from X,Y coordinates. :param x: x coordinate as float :param y: y coordinate as float :return: generated 2D noise as float, between -1.0 and 1.0 >>> noise2(0.5, 0.5) -0.43906247097569345 **opensimplex.noise2array(x, y)** Generates 2D OpenSimplex noise using Numpy arrays for increased performance. :param x: numpy array of x-coords :param y: numpy array of y-coords :return: 2D numpy array of shape (y.size, x.size) with the generated noise for the supplied coordinates >>> rng = numpy.random.default_rng(seed=0) >>> ix, iy = rng.random(2), rng.random(2) >>> noise2array(ix, iy) array([[ 0.00449931, -0.01807883], [-0.00203524, -0.02358477]]) **opensimplex.noise3(x, y, z)** Generate 3D OpenSimplex noise from X,Y,Z coordinates. :param x: x coordinate as float :param y: y coordinate as float :param z: z coordinate as float :return: generated 3D noise as float, between -1.0 and 1.0 >>> noise3(0.5, 0.5, 0.5) 0.39504955501618155 **opensimplex.noise3array(x, y, z)** Generates 3D OpenSimplex noise using Numpy arrays for increased performance. :param x: numpy array of x-coords :param y: numpy array of y-coords :param z: numpy array of z-coords :return: 3D numpy array of shape (z.size, y.size, x.size) with the generated noise for the supplied coordinates >>> rng = numpy.random.default_rng(seed=0) >>> ix, iy, iz = rng.random(2), rng.random(2), rng.random(2) >>> noise3array(ix, iy, iz) array([[[0.54942818, 0.54382411], [0.54285204, 0.53698967]], [[0.48107672, 0.4881196 ], [0.45971748, 0.46684901]]]) **opensimplex.noise4(x, y, z, w)** Generate 4D OpenSimplex noise from X,Y,Z,W coordinates. :param x: x coordinate as float :param y: y coordinate as float :param z: z coordinate as float :param w: w coordinate as float :return: generated 4D noise as float, between -1.0 and 1.0 >>> noise4(0.5, 0.5, 0.5, 0.5) 0.04520359600370195 **opensimplex.noise4array(x, y, z, w)** Generates 4D OpenSimplex noise using Numpy arrays for increased performance. :param x: numpy array of x-coords :param y: numpy array of y-coords :param z: numpy array of z-coords :param w: numpy array of w-coords :return: 4D numpy array of shape (w.size, z.size, y.size, x.size) with the generated noise for the supplied coordinates >>> rng = numpy.random.default_rng(seed=0) >>> ix, iy, iz, iw = rng.random(2), rng.random(2), rng.random(2), rng.random(2) >>> noise4array(ix, iy, iz, iw) array([[[[0.30334626, 0.29860705], [0.28271858, 0.27805178]], [[0.26601215, 0.25305428], [0.23387872, 0.22151356]]], [[[0.3392759 , 0.33585534], [0.3343468 , 0.33118285]], [[0.36930335, 0.36046537], [0.36360679, 0.35500328]]]]) ## FAQ - What does the distribution of the noise values look like? ![Noise Distribution](https://github.com/lmas/opensimplex/raw/master/images/distribution.png) - Is this relevantly different enough to avoid any real trouble with the original patent? > If you read the [patent > claims](http://www.google.com/patents/US6867776): > > Claim #1 talks about the hardware-implementation-optimized > gradient generator. Most software implementations of Simplex Noise > don't use this anyway, and OpenSimplex Noise certainly doesn't. > > Claim #2(&3&4) talk about using (x',y',z')=(x+s,y+s,z+s) where > s=(x+y+z)/3 to transform the input (render space) coordinate onto > a simplical grid, with the intention to make all of the > "scissor-simplices" approximately regular. OpenSimplex Noise (in > 3D) uses s=-(x+y+z)/6 to transform the input point to a point on > the Simplectic honeycomb lattice so that the simplices bounding > the (hyper)cubes at (0,0,..,0) and (1,1,...,1) work out to be > regular. It then mathematically works out that s=(x+y+z)/3 is > needed for the inverse transform, but that's performing a > different (and opposite) function. > > Claim #5(&6) are specific to the scissor-simplex lattice. Simplex > Noise divides the (squashed) n-dimensional (hyper)cube into n! > simplices based on ordered edge traversals, whereas OpenSimplex > Noise divides the (stretched) n-dimensional (hyper)cube into n > polytopes (simplices, rectified simplices, birectified simplices, > etc.) based on the separation (hyper)planes at integer values of > (x'+y'+z'+...). > > Another interesting point is that, if you read all of the claims, > none of them appear to apply to the 2D analogue of Simplex noise > so long as it uses a gradient generator separate from the one > described in claim #1. The skew function in Claim #2 only > applies to 3D, and #5 explicitly refers to n>=3. > > And none of the patent claims speak about using surflets / > "spherically symmetric kernels" to generate the "images with > texture that do not have visible grid artifacts," which is > probably the biggest similarity between the two algorithms. > > - **Kurt**, on [Reddit]. [Reddit]: https://www.reddit.com/r/proceduralgeneration/comments/2gu3e7/like_perlins_simplex_noise_but_dont_like_the/ckmqz2y ## Credits - Kurt Spencer - Original work - Owen Raccuglia - Test cases, [Go Module] - /u/redblobgames - Fixed conversion for Java's long type, see [Reddit] And all the other Github [Contributors] and [Bug Hunters]. Thanks! [Go Module]: https://github.com/ojrac/opensimplex-go [Reddit]: https://old.reddit.com/r/proceduralgeneration/comments/327zkm/repeated_patterns_in_opensimplex_python_port/cq8tth7/ [Contributors]: https://github.com/lmas/opensimplex/graphs/contributors [Bug Hunters]: https://github.com/lmas/opensimplex/issues?q=is%3Aclosed ## License While the original work was released to the public domain by Kurt, this package is using the MIT license. Please see the file LICENSE for details. ## Example Output More example code and trinkets can be found in the [examples] directory. [examples]: https://github.com/lmas/opensimplex/tree/master/examples Example images visualising 2D, 3D and 4D noise on a 2D plane, using the default seed: **2D noise** ![Noise 2D](https://github.com/lmas/opensimplex/raw/master/images/noise2d.png) **3D noise** ![Noise 3D](https://github.com/lmas/opensimplex/raw/master/images/noise3d.png) **4D noise** ![Noise 4D](https://github.com/lmas/opensimplex/raw/master/images/noise4d.png) %package help Summary: Development documents and examples for opensimplex Provides: python3-opensimplex-doc %description help # OpenSimplex Noise [![build-status](https://github.com/lmas/opensimplex/workflows/Tests/badge.svg?branch=master)](https://github.com/lmas/opensimplex/actions) [![pypi-version](https://img.shields.io/pypi/v/opensimplex?label=Version)](https://pypi.org/project/opensimplex/) [![pypi-downloads](https://img.shields.io/pypi/dm/opensimplex?label=Downloads)](https://pypistats.org/packages/opensimplex) [OpenSimplex] is a noise generation function like [Perlin] or [Simplex] noise, but better. OpenSimplex noise is an n-dimensional gradient noise function that was developed in order to overcome the patent-related issues surrounding Simplex noise, while continuing to also avoid the visually-significant directional artifacts characteristic of Perlin noise. - Kurt Spencer This is merely a python port of Kurt Spencer's [original code] (released to the public domain) and neatly wrapped up in a package. [OpenSimplex]: https://en.wikipedia.org/wiki/OpenSimplex_noise [Perlin]: https://en.wikipedia.org/wiki/Perlin_noise [Simplex]: https://en.wikipedia.org/wiki/Simplex_noise [original code]: https://gist.github.com/KdotJPG/b1270127455a94ac5d19 ## Status The `master` branch contains the latest code (possibly unstable), with automatic tests running for **Python 3.8, 3.9, 3.10 on Linux, MacOS and Windows**. Please refer to the [version tags] for the latest stable version. [version tags]: https://github.com/lmas/opensimplex/tags Updates for **v0.4+**: - Adds a hard dependency on 'Numpy', for array optimizations aimed at heavier workloads. - Adds optional dependency on 'Numba', for further speed optimizations using caching (currently untested due to issues with llvmlite). - Adds typing support. - General refactor and cleanup of the library, tests and docs. - **Breaking changes: API functions uses new names.** ## Contributions Bug reports, bug fixes and other issues with existing features of the library are welcomed and will be handled during the maintainer's free time. New stand-alone examples are also accepted. However, pull requests with new features for the core internals will not be accepted as it eats up too much weekend time, which I would rather spend on library stability instead. ## Usage **Installation** pip install opensimplex **Basic usage** >>> import opensimplex >>> opensimplex.seed(1234) >>> n = opensimplex.noise2(x=10, y=10) >>> print(n) 0.580279369186297 **Running tests and benchmarks** Setup a development environment: make dev source devenv/bin/activate make deps And then run the tests: make test Or the benchmarks: make benchmark For more advanced examples, see the files in the [tests](./tests/) and [examples](./examples/) directories. ## API **opensimplex.seed(seed)** Seeds the underlying permutation array (which produces different outputs), using a 64-bit integer number. If no value is provided, a static default will be used instead. seed(13) **random_seed()** Works just like seed(), except it uses the system time (in ns) as a seed value. Not guaranteed to be random so use at your own risk. random_seed() **opensimplex.noise2(x, y)** Generate 2D OpenSimplex noise from X,Y coordinates. :param x: x coordinate as float :param y: y coordinate as float :return: generated 2D noise as float, between -1.0 and 1.0 >>> noise2(0.5, 0.5) -0.43906247097569345 **opensimplex.noise2array(x, y)** Generates 2D OpenSimplex noise using Numpy arrays for increased performance. :param x: numpy array of x-coords :param y: numpy array of y-coords :return: 2D numpy array of shape (y.size, x.size) with the generated noise for the supplied coordinates >>> rng = numpy.random.default_rng(seed=0) >>> ix, iy = rng.random(2), rng.random(2) >>> noise2array(ix, iy) array([[ 0.00449931, -0.01807883], [-0.00203524, -0.02358477]]) **opensimplex.noise3(x, y, z)** Generate 3D OpenSimplex noise from X,Y,Z coordinates. :param x: x coordinate as float :param y: y coordinate as float :param z: z coordinate as float :return: generated 3D noise as float, between -1.0 and 1.0 >>> noise3(0.5, 0.5, 0.5) 0.39504955501618155 **opensimplex.noise3array(x, y, z)** Generates 3D OpenSimplex noise using Numpy arrays for increased performance. :param x: numpy array of x-coords :param y: numpy array of y-coords :param z: numpy array of z-coords :return: 3D numpy array of shape (z.size, y.size, x.size) with the generated noise for the supplied coordinates >>> rng = numpy.random.default_rng(seed=0) >>> ix, iy, iz = rng.random(2), rng.random(2), rng.random(2) >>> noise3array(ix, iy, iz) array([[[0.54942818, 0.54382411], [0.54285204, 0.53698967]], [[0.48107672, 0.4881196 ], [0.45971748, 0.46684901]]]) **opensimplex.noise4(x, y, z, w)** Generate 4D OpenSimplex noise from X,Y,Z,W coordinates. :param x: x coordinate as float :param y: y coordinate as float :param z: z coordinate as float :param w: w coordinate as float :return: generated 4D noise as float, between -1.0 and 1.0 >>> noise4(0.5, 0.5, 0.5, 0.5) 0.04520359600370195 **opensimplex.noise4array(x, y, z, w)** Generates 4D OpenSimplex noise using Numpy arrays for increased performance. :param x: numpy array of x-coords :param y: numpy array of y-coords :param z: numpy array of z-coords :param w: numpy array of w-coords :return: 4D numpy array of shape (w.size, z.size, y.size, x.size) with the generated noise for the supplied coordinates >>> rng = numpy.random.default_rng(seed=0) >>> ix, iy, iz, iw = rng.random(2), rng.random(2), rng.random(2), rng.random(2) >>> noise4array(ix, iy, iz, iw) array([[[[0.30334626, 0.29860705], [0.28271858, 0.27805178]], [[0.26601215, 0.25305428], [0.23387872, 0.22151356]]], [[[0.3392759 , 0.33585534], [0.3343468 , 0.33118285]], [[0.36930335, 0.36046537], [0.36360679, 0.35500328]]]]) ## FAQ - What does the distribution of the noise values look like? ![Noise Distribution](https://github.com/lmas/opensimplex/raw/master/images/distribution.png) - Is this relevantly different enough to avoid any real trouble with the original patent? > If you read the [patent > claims](http://www.google.com/patents/US6867776): > > Claim #1 talks about the hardware-implementation-optimized > gradient generator. Most software implementations of Simplex Noise > don't use this anyway, and OpenSimplex Noise certainly doesn't. > > Claim #2(&3&4) talk about using (x',y',z')=(x+s,y+s,z+s) where > s=(x+y+z)/3 to transform the input (render space) coordinate onto > a simplical grid, with the intention to make all of the > "scissor-simplices" approximately regular. OpenSimplex Noise (in > 3D) uses s=-(x+y+z)/6 to transform the input point to a point on > the Simplectic honeycomb lattice so that the simplices bounding > the (hyper)cubes at (0,0,..,0) and (1,1,...,1) work out to be > regular. It then mathematically works out that s=(x+y+z)/3 is > needed for the inverse transform, but that's performing a > different (and opposite) function. > > Claim #5(&6) are specific to the scissor-simplex lattice. Simplex > Noise divides the (squashed) n-dimensional (hyper)cube into n! > simplices based on ordered edge traversals, whereas OpenSimplex > Noise divides the (stretched) n-dimensional (hyper)cube into n > polytopes (simplices, rectified simplices, birectified simplices, > etc.) based on the separation (hyper)planes at integer values of > (x'+y'+z'+...). > > Another interesting point is that, if you read all of the claims, > none of them appear to apply to the 2D analogue of Simplex noise > so long as it uses a gradient generator separate from the one > described in claim #1. The skew function in Claim #2 only > applies to 3D, and #5 explicitly refers to n>=3. > > And none of the patent claims speak about using surflets / > "spherically symmetric kernels" to generate the "images with > texture that do not have visible grid artifacts," which is > probably the biggest similarity between the two algorithms. > > - **Kurt**, on [Reddit]. [Reddit]: https://www.reddit.com/r/proceduralgeneration/comments/2gu3e7/like_perlins_simplex_noise_but_dont_like_the/ckmqz2y ## Credits - Kurt Spencer - Original work - Owen Raccuglia - Test cases, [Go Module] - /u/redblobgames - Fixed conversion for Java's long type, see [Reddit] And all the other Github [Contributors] and [Bug Hunters]. Thanks! [Go Module]: https://github.com/ojrac/opensimplex-go [Reddit]: https://old.reddit.com/r/proceduralgeneration/comments/327zkm/repeated_patterns_in_opensimplex_python_port/cq8tth7/ [Contributors]: https://github.com/lmas/opensimplex/graphs/contributors [Bug Hunters]: https://github.com/lmas/opensimplex/issues?q=is%3Aclosed ## License While the original work was released to the public domain by Kurt, this package is using the MIT license. Please see the file LICENSE for details. ## Example Output More example code and trinkets can be found in the [examples] directory. [examples]: https://github.com/lmas/opensimplex/tree/master/examples Example images visualising 2D, 3D and 4D noise on a 2D plane, using the default seed: **2D noise** ![Noise 2D](https://github.com/lmas/opensimplex/raw/master/images/noise2d.png) **3D noise** ![Noise 3D](https://github.com/lmas/opensimplex/raw/master/images/noise3d.png) **4D noise** ![Noise 4D](https://github.com/lmas/opensimplex/raw/master/images/noise4d.png) %prep %autosetup -n opensimplex-0.4.4 %build %py3_build %install %py3_install install -d -m755 %{buildroot}/%{_pkgdocdir} if [ -d doc ]; then cp -arf doc %{buildroot}/%{_pkgdocdir}; fi if [ -d docs ]; then cp -arf docs %{buildroot}/%{_pkgdocdir}; fi if [ -d example ]; then cp -arf example %{buildroot}/%{_pkgdocdir}; fi if [ -d examples ]; then cp -arf examples %{buildroot}/%{_pkgdocdir}; fi pushd %{buildroot} if [ -d usr/lib ]; then find usr/lib -type f -printf "/%h/%f\n" >> filelist.lst fi if [ -d usr/lib64 ]; then find usr/lib64 -type f -printf "/%h/%f\n" >> filelist.lst fi if [ -d usr/bin ]; then find usr/bin -type f -printf "/%h/%f\n" >> filelist.lst fi if [ -d usr/sbin ]; then find usr/sbin -type f -printf "/%h/%f\n" >> filelist.lst fi touch doclist.lst if [ -d usr/share/man ]; then find usr/share/man -type f -printf "/%h/%f.gz\n" >> doclist.lst fi popd mv %{buildroot}/filelist.lst . mv %{buildroot}/doclist.lst . %files -n python3-opensimplex -f filelist.lst %dir %{python3_sitelib}/* %files help -f doclist.lst %{_docdir}/* %changelog * Fri May 05 2023 Python_Bot - 0.4.4-1 - Package Spec generated