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A small pixelart-matrix is compressed into an ADD. This ADD is then decoded and a new matrix is rebuild. Both matrices need to be the identical.
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A new test picture.cpp is implemented.
The test converts a 2D input matrix of pixel values into an ADD. The resulting ADD is then converted back into a new 2D matrix. If the new matrix matches the original input, the ADD Test is completed correctly.
step by step description:
A small greyscale picture of a dog represents the input matrix as a set 2D array of pixel values.
Depending on its height and width, the matrix is iterated pixel by pixel.
In the beginning, dependent on the size of the matrix, a set amount of variables is created.
During iteration, these variables are treated as a binary representation of the pixel index.
Each 1 (true) or 0 (false) in this binary number sets the corresponding variable. With all variables set, the ADD can be constructed.
To create the ADD, a DNF is generated.
Each conjunction is an iteration. It consists of the pixel value and every variable.
When those conjunctions get connected with disjunctions, the ADD is complete.
To reconstruct the matrix, the pixel position for each iteration is known. With that information, the correspondingvariable settings can be restored.
To get the pixel value, the ADD gets solved with the belonging variable settings.