• Many more noise algorithms than libnoise supported, and well-tested.

• Algorithms are consistently implemented in multiple dimensions, whereas libnoise only has 3-dimensional gradient noise.

• Some terminology corrections. For example, libnoise refers to multiple octaves of gradient noise as "Perlin" noise. Perlin is an implementation of gradient noise, and is not defined in terms of a fractal; infact, any noise algorithm can be "fractalized".

• Fix quite a few fundamental mathematical errors. It was quite the task re-implementing some algorithms due to incorrect math, or the inclusion of magic numbers that differed among implementations for various reasons.

• Ensure that all samplers emit values in the [-1.0, 1.0] range; something that becomes very important when working with fractal-based noises, composition of complex noises, and in general is something just expected when working with coherent noise.

• The Perlin noise implementation is Ken Perlin's "Improved Noise" algorithm, unlike his classic Perlin noise algorithm found in libnoise, which is sometimes just called gradient noise.

• Fractal samplers can be driven by any source sampler, not just gradient noise -- even other fractal samplers.

• Additional modifier samplers.

• Traditional Simplex noise variants, even the original Simplex by Ken Perlin, all overshoot the radial extent used for the signal reconstruction kernel. This results in unwanted artifacts when the noise is used for certain applications. CoherentNoise adds an option to use a more correct kernel to remove these artifacts. This is disabled by default. See the documentation for the respective Simplex noise variant for more details. To the best of my knowledge, CoherentNoise is the only library that offers this option for all Simplex noise variants.

The following noise algorithms and other samplers are implemented. If you would like to see support for other algorithms, please file an issue or submit a pull request.

In the order of "recommended to try first":

• OpenSimplex2: (2D, 3D, 4D)
• Simplex: (1D, 2D, 3D, 4D)
• OpenSimplex2S: (2D, 3D, 4D)
• OpenSimplex: (2D, 3D, 4D)
• Perlin: (1D, 2D, 3D, 4D)
• Value cubic: (1D, 2D, 3D, 4D)
• Value: (1D, 2D, 3D, 4D)
• Worley: (1D, 2D, 3D, 4D)

• Constant: (1D)
• Checkered: (2D)
• Cylinders: (2D)
• Spheres: (3D)

• fBm: (fractional Brownian motion; 1D, 2D, 3D, 4D)
• Billow: (1D, 2D, 3D, 4D)
• Multifractal: (1D, 2D, 3D, 4D)
• Hybrid: (1D, 2D, 3D, 4D)
• Ridged: (1D, 2D, 3D, 4D)