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Merge pull request #6 from gjbex/development
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‎source-code/dask/README.md

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* `dask_sum_aarays.py`: somewhat artificial example of a Dask computation
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on `numpy` arrays.
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* `dask_sum_aarays.pbs`: PBS script to execute `dask_sum_aarays.py`.
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* `julia_set`: example of combining Cython and dask.

‎source-code/dask/julia_set/Makefile

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PYX_FILES = julia_cython.pyx julia_cython_omp.pyx
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C_FILES = $(patsubst %.pyx,%.c,$(PYX_FILES))
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JULIA_LIB = $(patsubst %.c,%.so,$(C_FILES))
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all: $(JULIA_LIB)
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$(JULIA_LIB): $(PYX_FILES)
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python setup.py build_ext --inplace
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clean:
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python setup.py clean
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rm -f $(C_FILES) $(JULIA_LIB)

‎source-code/dask/julia_set/README.md

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# Julia set
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Implementatoin of the computation of the Julia set using Cython and Dask.
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## What is it?
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1. `julia_cython.pyx`: Cython implementation of computing a range of values.
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1. `julia_cython_omp.pyx`: Cython OpenMP implementation of computing a range of
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values.
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1. `setup.py`: Python build file for the Cython modules.
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1. `Makefile`: make file to build the Cython modules.
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1. `julia_set_dask.py`: Python driver program.
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1. `julia_set_dask.pbs`: PBS script to run the computation.
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1. `launch_scheduler.sh`: Bash script to launch the scheduler.
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1. `launch_worker.sh`: Bash script to launch a worker.

‎source-code/dask/julia_set/conda.sh

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# >>> conda initialize >>>
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# !! Contents within this block are managed by 'conda init' !!
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__conda_setup="$('/data/leuven/301/vsc30140/miniconda3/bin/conda' 'shell.bash' 'hook' 2> /dev/null)"
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if [ $? -eq 0 ]; then
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eval "$__conda_setup"
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else
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if [ -f "/data/leuven/301/vsc30140/miniconda3/etc/profile.d/conda.sh" ]; then
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. "/data/leuven/301/vsc30140/miniconda3/etc/profile.d/conda.sh"
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else
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export PATH="/data/leuven/301/vsc30140/miniconda3/bin:$PATH"
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fi
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fi
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unset __conda_setup
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# <<< conda initialize <<<

‎source-code/dask/julia_set/julia_cython.pyx

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'''Module containing function for computing Julia sets'''
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def julia_set(domain, iterations):
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_julia_set(memoryview(domain), memoryview(iterations), 2.0, 255)
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return iterations
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cdef _julia_set(double complex[:] domain, int[:] iterations,
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double max_norm, int max_iters):
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'''Compute the Julia set on a complex domain.
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Positional arguments:
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domain -- complex domain to compute a 1-D array
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iterations -- number of iterations as a 1-D array
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max_norm -- maximum complex norm to iterate to.
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max_iters -- maximum number of iterations
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'''
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cdef int i
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cdef complex z
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for i in range(len(domain)):
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z = domain[i]
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while (iterations[i] <= max_iters and
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z.real*z.real + z.imag*z.imag <= max_norm*max_norm):
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z = z**2 - 0.622772 + 0.42193j
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iterations[i] += 1

‎source-code/dask/julia_set/julia_cython_omp.pyx

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'''Module containing function for computing Julia sets'''
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cimport cython
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from cython.parallel import prange
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def julia_set(domain, iterations, max_norm, max_iters):
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_julia_set(memoryview(domain), memoryview(iterations),
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2.0, 255)
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return iterations
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@cython.boundscheck(False)
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cdef _julia_set(double complex[:] domain, int[:] iterations,
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double max_norm, int max_iters):
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'''Compute the Julia set on a complex domain.
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Positional arguments:
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domain -- complex domain to compute a 1-D array
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iterations -- number of iterations as a 1-D array
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max_norm -- maximum complex norm to iterate to.
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max_iters -- maximum number of iterations
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'''
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cdef int i, length = len(domain)
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cdef complex z
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with nogil:
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for i in prange(length, schedule='guided'):
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z = domain[i]
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while (iterations[i] <= max_iters and
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z.real*z.real + z.imag*z.imag <= max_norm*max_norm):
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z = z**2 - 0.622772 + 0.42193j
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iterations[i] += 1

‎source-code/dask/julia_set/julia_set_dask.pbs

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#!/usr/bin/env bash
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#PBS -l nodes=2:ppn=36
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#PBS -l walltime=00:30:00
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#PBS -m ae
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#PBS -M [email protected]
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cd $PBS_O_WORKDIR
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source "conda.sh"
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conda activate dask
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if [ $? -ne 0 ]
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then
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(>&2 echo '### error: conda environment not sourced successfully' )
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fi
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scheduler_node=$(hostname)
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scheduler_port=8786
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scheduler="${scheduler_node}:${scheduler_port}"
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worker_nodes=$(uniq $PBS_NODEFILE)
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worker_launcher="$(pwd)/launch_worker.sh"
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echo "launching scheduler: ${scheduler}"
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./launch_scheduler.sh
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echo 'waitling till scheduler launched...'
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sleep 15
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echo 'starting workers...'
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for worker in $worker_nodes;
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do
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echo "launching worker on ${worker}"
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ssh $worker $worker_launcher "$(pwd)" "${scheduler}" "${PBS_JOBID}" &
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done
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echo 'waiting for workers to start and connect'
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sleep 15
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echo 'starting computation'
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time python julia_set_dask.py --host ${scheduler_node} \
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--port ${scheduler_port} \
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--implementation cython

‎source-code/dask/julia_set/julia_set_dask.py

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#!/usr/bin/env python
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from argparse import ArgumentParser
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from distributed import Client, Future
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import numpy as np
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import os
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import sys
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import time
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def init_julia(re, im, n):
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'''Initialize the complex domain.
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Positional arguments:
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re -- minimum and maximum real value as 2-tuple
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im -- minimum and maximum imaginary value as 2-tuple
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n -- number of real and imaginary points as 2-tuple
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'''
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re_vals, im_vals = np.meshgrid(
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np.linspace(re[0], re[1], n[0]),
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np.linspace(im[0], im[1], n[1])
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)
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domain = re_vals + im_vals*1j
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return domain.flatten()
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def init_pyx(dask_worker):
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import pyximport
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pyximport.install()
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sys.path.insert(0, os.getcwd())
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# sys.path.insert(0, '/scratch/leuven/301/vsc30140/julia_set/')
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from julia_cython import julia_set
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def init_omp_pyx(dask_worker):
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import pyximport
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pyximport.install()
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sys.path.insert(0, os.getcwd())
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# sys.path.insert(0, '/scratch/leuven/301/vsc30140/julia_set/')
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from julia_cython_omp import julia_set
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if __name__ == '__main__':
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arg_parser = ArgumentParser(description='Compute julia set')
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arg_parser.add_argument('--re_min', type=float, default=-1.8,
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help='minimum real value')
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arg_parser.add_argument('--re_max', type=float, default=1.8,
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help='maximum real value')
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arg_parser.add_argument('--im_min', type=float, default=-1.8,
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help='minimum imaginary value')
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arg_parser.add_argument('--im_max', type=float, default=1.8,
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help='maximum imaginary value')
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arg_parser.add_argument('--max_norm', type=float, default=2.0,
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help='maximum complex norm for z')
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arg_parser.add_argument('--n_re', type=int, default=100,
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help='number of points on the real axis')
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arg_parser.add_argument('--n_im', type=int, default=100,
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help='number of points on the imaginary axis')
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arg_parser.add_argument('--max_iters', type=int, default=300,
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help='maximum number of iterations')
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arg_parser.add_argument('--implementation', default='python',
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choices=['python', 'cython', 'cython_omp'],
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help='implementation to use')
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arg_parser.add_argument('--partitions', type=int, default=100,
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help='number of partitions for dask workers')
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arg_parser.add_argument('--host', required=True,
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help='hostname of the dask scheduler')
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arg_parser.add_argument('--port', type=int, required=True,
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help='port of the dask scheduler')
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options = arg_parser.parse_args()
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client = Client(f'{options.host}:{options.port:d}')
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if options.implementation == 'python':
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from julia_python import julia_set
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elif options.implementation == 'cython':
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from julia_cython import julia_set
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client.register_worker_callbacks(init_pyx)
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elif options.implementation == 'cython_omp':
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from julia_cython_omp import julia_set
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client.register_worker_callbacks(init_omp_pyx)
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else:
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msg = '{0} version not implemented\n'
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sys.stderr.write(msg.format(options.implementation))
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sys.exit(1)
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domain = init_julia(
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(options.re_min, options.re_max),
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(options.im_min, options.im_max),
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(options.n_re, options.n_im)
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)
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domains = np.array_split(domain, options.partitions)
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iterations = np.array_split(np.zeros(options.n_re*options.n_im,
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dtype=np.int32), options.partitions)
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start_time = time.time()
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futures = client.map(julia_set, domains, iterations)
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results = client.gather(futures)
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end_time = time.time()
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print('compute time = {0:.6f} s'.format(end_time - start_time))
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np.savetxt('julia.txt', np.concatenate(results).reshape(options.n_re,
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options.n_im))

‎source-code/dask/julia_set/launch_scheduler.sh

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#!/usr/bin/env bash
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source "conda.sh"
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conda activate dask 2> /dev/null
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if [ $? -ne 0 ]
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then
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(>&2 echo '### error: conda environment not sourced correctly' )
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fi
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nohup dask-scheduler &> "scheduler-${PBS_JOBID}.log" &

‎source-code/dask/julia_set/launch_worker.sh

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#!/usr/bin/env bash
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if [ $# -ne 3 ]
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then
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(>&2 echo '### error: expecting WORK_DIR, SCHEDULER and JOBID as arguments' )
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exit 1
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fi
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WORK_DIR=$1
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if [ ! -d "${WORK_DIR}" ]
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then
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(>&2 echo "### error: WORK_DIR '${WORK_DIR}' does not exist" )
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exit 2
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fi
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SCHEDULER=$2
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JOBID=$3
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cd "${WORK_DIR}"
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source "conda.sh"
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conda activate dask 2> /dev/null
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if [ $? -ne 0 ]
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then
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(>&2 echo '### error: conda environment not sourced correctly' )
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fi
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nohup dask-worker "${SCHEDULER}" &> "worker-$(hostname)-${JOBID}.log" &

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