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Sand pile model

Introduction

Sand Heap Model, a console application that allows you to save your states into a BMP image.

The initial state and grid size are specified.

The grid size can be changed during the process

Implementation, a console application that supports the following command line arguments:

-l, --length - grid length (guaranteed to fit in uint16_t)

-w, --width - grid width (guaranteed to fit into uint16_t)

-i, --input - tsv-file with initial data

-o, --output - path to the directory for saving pictures

-m, --max-iter - maximum number of model iterations

-f, --freq - frequency at which the pictures should be saved (if 0, only the last state is saved).

The order of arguments does not matter

Initial state

The initial state is specified by the grid sizes passed as program arguments and a file with the initial number of grains of sand in each cell, except for empty ones.

File format: Each line contains information about one cell, in the form of (x-coordinates, y-coordinates, number of grains of sand) separated by a tab character. The number of grains of sand is guaranteed to fit in uint64_t.

Notes on the model

  1. New grains of sand are added only during initialization.

  2. The state of the trace generation of a cell depends only on the previous state of the mesh

  3. If grains of sand fall over the grid, the size of the grid is increased by 1 in the corresponding direction.

Program result

The program recalculates the state of the model, according to the initial data, and also saves intermediate states with a specified frequency into a picture in bmp format.

The picture for the current state is formed according to the following rules:

  1. The size of the picture is equal to the size of the field

  2. Each pixel corresponds to a cell of the field

  3. The color of a pixel depends on the number of grains of sand in the cell: 0 - white, 1 - green, 2 - purple, 3 - yellow, > 3 - black.

The program terminates if the model has reached a stable state or the iteration number set initially.

Input example

  1. -l=100 -w=100 -i=someName.tsv -o=./

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