Giter Club home page Giter Club logo

Comments (4)

adtzlr avatar adtzlr commented on June 5, 2024

this would be a simple replacement

def gauss_legendre(order, dim):
    "Gauss-Legendre Points and Weights."
    
    x, w = np.polynomial.legendre.leggauss(order)
    
    points = np.stack(
        np.meshgrid(*([x] * dim), indexing="ij")
    )[::-1].reshape(dim, -1).T
    
    idx = ["i", "j", "k"][:dim]
    weights = np.einsum(", ".join(idx), *([w] * dim)).ravel()
    
    return points, weights

from felupe.

adtzlr avatar adtzlr commented on June 5, 2024

even nicer because it works on arbitrary dimensions...

import numpy as np
from string import ascii_lowercase


def gauss_legendre(order, dim):
    "Gauss-Legendre Points and Weights."
    
    x, w = np.polynomial.legendre.leggauss(order)
    
    points = np.stack(
        np.meshgrid(*([x] * dim), indexing="ij")
    )[::-1].reshape(dim, -1).T
    
    idx = list(ascii_lowercase)[: dim]
    weights = np.einsum(", ".join(idx), *([w] * dim)).ravel()
    
    return points, weights

from felupe.

adtzlr avatar adtzlr commented on June 5, 2024

see

felupe/felupe/quadrature/_gausslegendre.py

Lines 34 to 60 in 20771c9

class GaussLegendre(Scheme):
"A n-dimensional Gauss-Legendre quadrature rule."
def __init__(self, order: int, dim: int):
"""Arbitrary `order` Gauss-Legendre quadrature rule of `dim` 1, 2 or 3
on the interval [-1, 1] as approximation of
∫ f(x) dx ≈ ∑ f(x_a) w_a (1)
with `a` quadrature points `x_a` and corresponding weights `w_a`.
"""
# integration point weights and coordinates
if dim not in [1, 2, 3]:
raise ValueError("Wrong dimension.")
x, w = np.polynomial.legendre.leggauss(1 + order)
points = (
np.stack(np.meshgrid(*([x] * dim), indexing="ij"))[::-1].reshape(dim, -1).T
)
idx = list(ascii_lowercase)[:dim]
weights = np.einsum(", ".join(idx), *([w] * dim)).ravel()
super().__init__(points, weights)

from felupe.

adtzlr avatar adtzlr commented on June 5, 2024

fixed by #96

from felupe.

Related Issues (20)

Recommend Projects

  • React photo React

    A declarative, efficient, and flexible JavaScript library for building user interfaces.

  • Vue.js photo Vue.js

    🖖 Vue.js is a progressive, incrementally-adoptable JavaScript framework for building UI on the web.

  • Typescript photo Typescript

    TypeScript is a superset of JavaScript that compiles to clean JavaScript output.

  • TensorFlow photo TensorFlow

    An Open Source Machine Learning Framework for Everyone

  • Django photo Django

    The Web framework for perfectionists with deadlines.

  • D3 photo D3

    Bring data to life with SVG, Canvas and HTML. 📊📈🎉

Recommend Topics

  • javascript

    JavaScript (JS) is a lightweight interpreted programming language with first-class functions.

  • web

    Some thing interesting about web. New door for the world.

  • server

    A server is a program made to process requests and deliver data to clients.

  • Machine learning

    Machine learning is a way of modeling and interpreting data that allows a piece of software to respond intelligently.

  • Game

    Some thing interesting about game, make everyone happy.

Recommend Org

  • Facebook photo Facebook

    We are working to build community through open source technology. NB: members must have two-factor auth.

  • Microsoft photo Microsoft

    Open source projects and samples from Microsoft.

  • Google photo Google

    Google ❤️ Open Source for everyone.

  • D3 photo D3

    Data-Driven Documents codes.