sc::LebedevLaikovIntegrator(3)

📦
version 2.3.1 · 5 versions
, in ubuntu jammy

💅 sc::LebedevLaikovIntegrator(3) — MPQC manual, but make it cute 💅

okay so bestie, this is the sc::LebedevLaikovIntegrator(3) page from MPQC — it’s giving angular-integrator main character energy, and we’re gonna get through every detail together. no cap. 🫶

🌸 NAME 🌸

sc::LebedevLaikovIntegrator — an implementation of a Lebedev angular integrator. literally the whole vibe. 💖

✨ SYNOPSIS ✨

#include <integrator.h>

Inherits sc::AngularIntegrator. iykyk ✨

💖 Public Member Functions 💖

  • LebedevLaikovIntegrator (const Ref< KeyVal > &) — Construct a LebedevLaikovIntegrator using the given KeyVal input.
  • LebedevLaikovIntegrator (StateIn &)
  • LebedevLaikovIntegrator (int)
  • void save_data_state (StateOut &) — Save the base classes (with save_data_state) and the members in the same order that the StateIn CTOR initializes them.
  • int nw (void) const
  • int num_angular_points (double r_value, int ir)
  • double angular_point_cartesian (int iangular, double r, SCVector3 &integration_point) const
  • void print (std::ostream &=ExEnv::out0()) const — Print the object.

🛡️ Protected Member Functions 🛡️

  • void init (int n)

🎀 Protected Attributes 🎀

  • int npoint_
  • double * x_
  • double * y_
  • double * z_
  • double * w_

🌈 Additional Inherited Members 🌈

the page just puts this heading here, bestie — no extra inherited-member list is printed on this page. 🦋

💫 Detailed Description 💫

An implementation of a Lebedev angular integrator. obsessed 💅

It uses code written by Dr. Dmitri N. Laikov. 🧚

This can generate grids with the following numbers of points: 6, 14, 26, 38, 50, 74, 86, 110, 146, 170, 194, 230, 266, 302, 350, 386, 434, 482, 530, 590, 650, 698, 770, 830, 890, 974, 1046, 1118, 1202, 1274, 1358, 1454, 1538, 1622, 1730, 1814, 1910, 2030, 2126, 2222, 2354, 2450, 2558, 2702, 2810, 2930, 3074, 3182, 3314, 3470, 3590, 3722, 3890, 4010, 4154, 4334, 4466, 4610, 4802, 4934, 5090, 5294, 5438, 5606, and 5810. the way that’s a whole lot of numbers 😭

the receipts, because citations are iconic: 📚✨

  • V.I. Lebedev, and D.N. Laikov 'A quadrature formula for the sphere of the 131st algebraic order of accuracy' Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.
  • V.I. Lebedev 'A quadrature formula for the sphere of 59th algebraic order of accuracy' Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.
  • V.I. Lebedev, and A.L. Skorokhodov 'Quadrature formulas of orders 41, 47, and 53 for the sphere' Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.
  • V.I. Lebedev 'Spherical quadrature formulas exact to orders 25-29' Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
  • V.I. Lebedev 'Quadratures on a sphere' Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24.
  • V.I. Lebedev "Values of the nodes and weights of ninth to seventeenth order Gauss-Markov quadrature formulae invariant under the octahedron group with inversion" Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51.

🛠️ Constructor & Destructor Documentation 🛠️

💖 sc::LebedevLaikovIntegrator::LebedevLaikovIntegrator (const Ref< KeyVal > &) 💖

Construct a LebedevLaikovIntegrator using the given KeyVal input. The n keyword gives the number of angular points. The default is 302. slay, defaults are comfy ✨

📦 Member Function Documentation 📦

💖 void sc::LebedevLaikovIntegrator::save_data_state (StateOut &) [virtual] 💖

Save the base classes (with save_data_state) and the members in the same order that the StateIn CTOR initializes them. This must be implemented by the derived class if the class has data.

Reimplemented from sc::AngularIntegrator. 🫶

👑 Author 👑

Generated automatically by Doxygen for MPQC from the source code.

and that’s the footer tea: MPQC, version 2.3.1, dated Sun Oct 4 2020, and this is the sc::LebedevLaikovIntegrator(3) manual page. bye bestie 💅🫶

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