Foam: Multi-dimensional general purpose Monte Carlo generator with self-adapting simplical grid

Abstract
A new general purpose Monte Carlo event generator with self-adapting grid consisting of simplices is described. In the process of initialization, the simplex-shaped cells divide into daughter subcells in such a way that: (a) cell density is biggest in areas where integrand is peaked, (b) cells elongate themselves along hyperspaces where integrand is enhanced/singular. The grid is anisotropic, i.e. memory of the axes directions of the primary reference frame is lost. In particular, the algorit...

Title of program: Foam, version 1.01
Catalogue Id: ADMC_v1_0.tar

Nature of problem
Monte Carlo (MC) simulation or generation of unweighted (weight equal one) events, is a standard exercise in the particle physics, and in many other areas of the research. It is often necessary to generate MC events according to a probability density with strong peaks (singularities) spanned along complicated hyperspaces of not a very well known shape. It is highly desirable to have in the program library a general-purpose numerical tool (program) with a MC generation algorithm featuring built-i ...

Versions of this program held in the CPC repository in Mendeley Data
admc_v1_0.tar; Foam, version 1.01; 10.1016/S0010-4655(00)00047-3
admc_v2_0.tar; FoamF77, version 2.05; 10.1016/S0010-4655(02)00755-5
admc_v3_0.tar; Foam++, version 2.05; 10.1016/S0010-4655(02)00755-5

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

**摘要**
本文介绍一款新型通用蒙特卡洛（Monte Carlo, MC）事件生成器，该生成器采用由单形（simplex）构成的自适应网格。在初始化阶段，单形单元将分裂为子单元，遵循如下规则：(a) 被积函数存在峰值的区域，单元密度最高；(b) 单元沿被积函数增强或存在奇异点的超空间方向拉伸。该网格为各项异性结构，即不再保留原始参考系的坐标轴方向记忆。具体而言，该算法……（原文未完成）

**程序名称**：Foam，版本1.01
**目录编号**：ADMC_v1_0.tar

**问题属性**
蒙特卡洛（MC）模拟或生成无权重（权重为1）事件是粒子物理学及众多其他研究领域的常规工作。当需要依据概率密度分布生成MC事件时，常遇到分布存在强峰值（奇异点）且沿形状未知的复杂超空间延展的场景。因此，程序库中亟需一款内置MC生成算法的通用数值工具，其具备……（原文未完成）

**门德列数据（Mendeley Data）中CPC程序库存储的该程序版本**
1. admc_v1_0.tar；Foam，版本1.01；DOI：10.1016/S0010-4655(00)00047-3
2. admc_v2_0.tar；FoamF77，版本2.05；DOI：10.1016/S0010-4655(02)00755-5
3. admc_v3_0.tar；Foam++，版本2.05；DOI：10.1016/S0010-4655(02)00755-5

本程序源自贝尔法斯特女王大学（1969-2019年）维护的CPC程序库。