cubic-spline | interpolate for X in a 2d array | Frontend Framework library

by morganherlocker TypeScript Version: 3.0.3 License: MIT

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kandi X-RAY | cubic-spline Summary

cubic-spline is a TypeScript library typically used in User Interface, Frontend Framework, React, Numpy applications. cubic-spline has no bugs, it has no vulnerabilities, it has a Permissive License and it has low support. You can download it from GitHub.

interpolate for X in a 2d array

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Support

cubic-spline has a low active ecosystem.

It has 83 star(s) with 22 fork(s). There are 4 watchers for this library.

It had no major release in the last 12 months.

There are 1 open issues and 7 have been closed. On average issues are closed in 620 days. There are 2 open pull requests and 0 closed requests.

It has a neutral sentiment in the developer community.

The latest version of cubic-spline is 3.0.3

Quality

cubic-spline has 0 bugs and 0 code smells.

Security

cubic-spline has no vulnerabilities reported, and its dependent libraries have no vulnerabilities reported.

cubic-spline code analysis shows 0 unresolved vulnerabilities.

There are 0 security hotspots that need review.

License

cubic-spline is licensed under the MIT License. This license is Permissive.

Permissive licenses have the least restrictions, and you can use them in most projects.

Reuse

cubic-spline releases are not available. You will need to build from source code and install.

Installation instructions are not available. Examples and code snippets are available.

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cubic-spline Key Features

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cubic-spline Examples and Code Snippets

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Community Discussions

Trending Discussions on cubic-spline

Smoothed Particle Hydrodynamics: Weird clustering of particles. Is that normal?

Batchwise evaluation of piecewise polynomials on GPU

Parallelization of Piecewise Polynomial Evaluation

Calculate matrix in cubic spline interpolation

QUESTION

Smoothed Particle Hydrodynamics: Weird clustering of particles. Is that normal?

Asked 2020-Jan-07 at 21:01

I implemented a rather simple SPH simulation using a cubic-spline-kernel and a simple non-iterative pressure solver as described in this PDF in equation 9. I followed algorithm 1 of that paper (including gravity).

The resulting particle behaviour is certainly fluid-like (with quite some compressibility as is expected from such a simple pressure solver). However as you can see in this screenshot the particles are not evenly spread when in equilibrium, but instead arrange into small clusters of about 3 particle.

Is this normal behaviour ? It appears strange to me, so I wanted to make sure this is either correct or someone would have an idea what could be wrong here.

...

ANSWER

Answered 2020-Jan-07 at 21:01

The screenshot shows the so-called pairing instability, which is one of the most frequent instability problems in SPH computations.

Pairing instability is the consequence of the application of bell-shaped kernel functions with too large smoothing radii. Since polynomial kernel functions of at least third order have an infection point, particles, which are getting too close to each other, experience lower and lower repulsive forces and gradually stick together. This can be overcome by choosing a suitable smoothing radius leading to a rather optimal number of neighbors, which depends on the applied kernel function but usually is around 25 in 2D.

You can read about the pairing instability and other issues of SPH simulations here. Pairing instability is briefly discussed on page 9.

Source https://stackoverflow.com/questions/58589236

QUESTION

Batchwise evaluation of piecewise polynomials on GPU

Asked 2017-Mar-03 at 00:42

I am trying to evaluate points in a large piecewise polynomial, which is obtained from a cubic-spline. I am attempting to do this on a GPU and I am running into memory limitations.

As such, I would like to evaluate a piecewise polynomial in batches.

Original code:

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ANSWER

Answered 2017-Mar-03 at 00:42

Helpful thread here, which instead talks about the Parallelization of Piecewise Polynomial Evaluation. This solution can be ported to GPU for batch processing.

Source https://stackoverflow.com/questions/42215912

QUESTION

Parallelization of Piecewise Polynomial Evaluation

Asked 2017-Mar-02 at 15:08

I am trying to evaluate points in a large piecewise polynomial, which is obtained from a cubic-spline. This takes a long time to do and I would like to speed it up.

As such, I would like to evaluate a points on a piecewise polynomial with parallel processes, rather than sequentially.

Code:

...

ANSWER

Answered 2017-Feb-28 at 06:58

Use parfor command for parallel loops. see here, also precompute z vector as z(j) = x(j:j+M-1) and hcurrent in parfor for speed up.

Source https://stackoverflow.com/questions/42498490

QUESTION

Calculate matrix in cubic spline interpolation

Asked 2017-Jan-29 at 13:34

I read the article on https://www.value-at-risk.net/cubic-spline-interpolation/

I understand all but I don't know how I can get the values for the matrix:

I know that there is something like hi = hi+1 - hi

I visited several websites, read different explenations, but I never found out how exactly I come to this values in the matrix.

...

ANSWER

Answered 2017-Jan-29 at 13:34

The matrix is just system of equations encoded as matrix so it can be easily computed by inverse matrix.

For example second line of matrix (8,4,2,1,0,0,0,0) after matrix multiplication means this:

Source https://stackoverflow.com/questions/41920162

Community Discussions, Code Snippets contain sources that include Stack Exchange Network

Vulnerabilities

No vulnerabilities reported

Install cubic-spline

You can download it from GitHub.

Support

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