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# Project for PWR
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Project in python for module "Praktikum Wissenschaftliches Rechnen" in "Applied Mathematics" at *TU Bergakademie Freiberg*.
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# Task
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Implement MPI parallel Matrix and Vector classes in Python and apply them to a numerical problem / algorithm.
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1. Diagonalmatrix times vector
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2. Matrix from exercise 1 times vector
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3. Conjugated Gradient
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# Structure of mains
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## Timings in Shell
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If you want to measure time with `time` and the whole program, then use the `main_[name].py` files.
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Within the files you can set the size `n` of the matrix and vector.
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See pbs script [pwr_project.script](./pbs_scripts/pwr_project.script) for automatic use on the cluster.
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Following pythin scripts are the entry point for the tasks:
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- [Diagonalmatrix times Vector](./src/main_diag_vec.py): [main_diag_vec.py](./src/main_diag_vec.py)
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- [Matrix from exercise 1 times Vector](./src/main_matrix_vec.py): [main_matrix_vec.py](./src/main_matrix_vec.py)
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- [CG](./src/main_cg.py): [main_cg.py](./src/main_cg.py)
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## Specific timings
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If you want to measure only the times a operation needs (without initializing),
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then use the `main_[name]_timeit.py` files.
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The matrix/vector size `n` must be provided via command line,
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e.g. `python3 main_cg.py 100` for the CG with a matrix size of `100`.
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See pbs script [pwr_project_timeit.script](./pbs_scripts/pwr_project_timeit.script) for automatic use on the cluster.
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Following pythin scripts are the entry point for the tasks:
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- [Diagonalmatrix times Vector](./src/main_diag_vec_timeit.py): [main_diag_vec.py](./src/main_diag_vec_timeit.py)
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- [Matrix from exercise 1 times Vector](./src/main_matrix_vec_timeit.py): [main_matrix_vec.py](./src/main_matrix_vec_timeit.py)
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- [CG](./src/main_cg_timeit.py): [main_cg.py](./src/main_cg_timeit.py)
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## Weak scaling
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For the weak scaling measurements use pbs script [pwr_project_timeit_weak.script](./pbs_scripts/pwr_project_timeit_weak.script).
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