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Instalando Cvxopt En Ubuntu Con Python 3

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Hola He escrito bastante sobre estas librerías basadas en Python para poder resolver distintos programas basados en Optimización o Programación Lineal (Entera, binaria) o No Lineal. Voy a escribir cómo instalarlo de una forma más completa para poder resolver problemas de tipo Lineal Entera (Binaria), por ejemplo. Lo primero es instalar ciertas dependencias suplementarias, lo puedes hacer desde Synaptic o desde la terminal.

usuario@nombrepc:~$

sudo apt-get install libblas-dev libatlas-dev libgsl0-dev libfftw3-dev libglpk-dev libdsdp-dev

Ahora hay que descargar Cvxopt de su web oficial:

Una vez descargado lo descomprimes y editas el fichero setup.py de forma que te quede así:

Nota:

from distutils.core import setup, Extension
from glob import glob

# Modifiy this if BLAS and LAPACK libraries are not in /usr/lib.
BLAS_LIB_DIR = ‘/usr/lib’

# Default names of BLAS and LAPACK libraries
BLAS_LIB = [‘blas’]
LAPACK_LIB = [‘lapack’]
BLAS_EXTRA_LINK_ARGS = []

# Set environment variable BLAS_NOUNDERSCORES=1 if your BLAS/LAPACK do
# not use trailing underscores
BLAS_NOUNDERSCORES = False

# Set to 1 if you are using the random number generators in the GNU
# Scientific Library.
BUILD_GSL = 1

# Directory containing libgsl (used only when BUILD_GSL = 1).
GSL_LIB_DIR = ‘/usr/lib’

# Directory containing the GSL header files (used only when BUILD_GSL = 1).
GSL_INC_DIR = ‘/usr/include/gsl’

# Set to 1 if you are installing the fftw module.
BUILD_FFTW = 1

# Directory containing libfftw3 (used only when BUILD_FFTW = 1).
FFTW_LIB_DIR = ‘/usr/lib’

# Directory containing fftw.h (used only when BUILD_FFTW = 1).
FFTW_INC_DIR = ‘/usr/include’

# Set to 1 if you are installing the glpk module.
BUILD_GLPK = 1

# Directory containing libglpk (used only when BUILD_GLPK = 1).
GLPK_LIB_DIR = ‘/usr/lib’

# Directory containing glpk.h (used only when BUILD_GLPK = 1).
GLPK_INC_DIR = ‘/usr/include’

# Set to 1 if you are installing the DSDP module.
BUILD_DSDP = 0

# Directory containing libdsdp (used only when BUILD_DSDP = 1).
DSDP_LIB_DIR = ‘/usr/lib’

# Directory containing dsdp5.h (used only when BUILD_DSDP = 1).
DSDP_INC_DIR = ‘/usr/include/dsdp’

# No modifications should be needed below this line.

extmods = []

# Macros
MACROS = []
if BLAS_NOUNDERSCORES: MACROS.append((‘BLAS_NO_UNDERSCORE’,”))

# optional modules

if BUILD_GSL:
gsl = Extension(‘gsl’, libraries = [‘m’, ‘gsl’] + BLAS_LIB,
include_dirs = [ GSL_INC_DIR ],
library_dirs = [ GSL_LIB_DIR, BLAS_LIB_DIR ],
extra_link_args = BLAS_EXTRA_LINK_ARGS,
sources = [‘src/C/gsl.c’] )
extmods += [gsl];

if BUILD_FFTW:
fftw = Extension(‘fftw’, libraries = [‘fftw3′] + BLAS_LIB,
include_dirs = [ FFTW_INC_DIR ],
library_dirs = [ FFTW_LIB_DIR, BLAS_LIB_DIR ],
extra_link_args = BLAS_EXTRA_LINK_ARGS,
sources = [‘src/C/fftw.c’] )
extmods += [fftw];

if BUILD_GLPK:
glpk = Extension(‘glpk’, libraries = [‘glpk’],
include_dirs = [ GLPK_INC_DIR ],
library_dirs = [ GLPK_LIB_DIR ],
sources = [‘src/C/glpk.c’] )
extmods += [glpk];

if BUILD_DSDP:
dsdp = Extension(‘dsdp’, libraries = [‘dsdp’] + LAPACK_LIB + BLAS_LIB,
include_dirs = [ DSDP_INC_DIR ],
library_dirs = [ DSDP_LIB_DIR, BLAS_LIB_DIR ],
extra_link_args = BLAS_EXTRA_LINK_ARGS,
sources = [‘src/C/dsdp.c’] )
extmods += [dsdp];

# Required modules

base = Extension(‘base’, libraries = [‘m’] + LAPACK_LIB + BLAS_LIB,
library_dirs = [ BLAS_LIB_DIR ],
define_macros = MACROS,
extra_link_args = BLAS_EXTRA_LINK_ARGS,
sources = [‘src/C/base.c’,’src/C/dense.c’,’src/C/sparse.c’])

blas = Extension(‘blas’, libraries = BLAS_LIB,
library_dirs = [ BLAS_LIB_DIR ],
define_macros = MACROS,
extra_link_args = BLAS_EXTRA_LINK_ARGS,
sources = [‘src/C/blas.c’] )

lapack = Extension(‘lapack’, libraries = LAPACK_LIB + BLAS_LIB,
library_dirs = [ BLAS_LIB_DIR ],
define_macros = MACROS,
extra_link_args = BLAS_EXTRA_LINK_ARGS,
sources = [‘src/C/lapack.c’] )

umfpack = Extension(‘umfpack’,
include_dirs = [ ‘src/C/SuiteSparse/UMFPACK/Include’,
‘src/C/SuiteSparse/AMD/Include’,
‘src/C/SuiteSparse/AMD/Source’,
‘src/C/SuiteSparse/SuiteSparse_config’ ],
library_dirs = [ BLAS_LIB_DIR ],
define_macros = MACROS + [(‘NTIMER’, ‘1’), (‘NCHOLMOD’, ‘1’)],
libraries = LAPACK_LIB + BLAS_LIB,
extra_compile_args = [‘-Wno-unknown-pragmas’],
extra_link_args = BLAS_EXTRA_LINK_ARGS,
sources = [ ‘src/C/umfpack.c’,
‘src/C/SuiteSparse/UMFPACK/Source/umfpack_global.c’,
‘src/C/SuiteSparse/UMFPACK/Source/umfpack_tictoc.c’ ] +
[‘src/C/SuiteSparse/SuiteSparse_config/SuiteSparse_config.c’] +
glob(‘src/C/SuiteSparse_cvxopt_extra/umfpack/*’))

# Build for int or long?
import sys
if sys.maxsize > 2**31: MACROS += [(‘DLONG’,None)]

cholmod = Extension(‘cholmod’,
library_dirs = [ BLAS_LIB_DIR ],
libraries = LAPACK_LIB + BLAS_LIB,
include_dirs = [ ‘src/C/SuiteSparse/CHOLMOD/Include’,
‘src/C/SuiteSparse/COLAMD’,
‘src/C/SuiteSparse/AMD/Include’,
‘src/C/SuiteSparse/COLAMD/Include’,
‘src/C/SuiteSparse/SuiteSparse_config’ ],
define_macros = MACROS + [(‘NPARTITION’, ‘1’), (‘NTIMER’, ‘1’)],
extra_link_args = BLAS_EXTRA_LINK_ARGS,
sources = [ ‘src/C/cholmod.c’ ] +
[‘src/C/SuiteSparse/AMD/Source/’ + s for s in [‘amd_global.c’,
‘amd_postorder.c’, ‘amd_post_tree.c’, ‘amd_2.c’]] +
[‘src/C/SuiteSparse/COLAMD/Source/’ + s for s in [‘colamd.c’,
‘colamd_global.c’]] +
[‘src/C/SuiteSparse/SuiteSparse_config/SuiteSparse_config.c’] +
glob(‘src/C/SuiteSparse/CHOLMOD/Core/c*.c’) +
glob(‘src/C/SuiteSparse/CHOLMOD/Cholesky/c*.c’) +
[‘src/C/SuiteSparse/CHOLMOD/Check/cholmod_check.c’] +
glob(‘src/C/SuiteSparse/CHOLMOD/Supernodal/c*.c’) )

amd = Extension(‘amd’,
include_dirs = [ ‘src/C/SuiteSparse/AMD/Include’,
‘src/C/SuiteSparse/SuiteSparse_config’ ],
define_macros = MACROS,
sources = [ ‘src/C/amd.c’ ] + glob(‘src/C/SuiteSparse/AMD/Source/*.c’) )

misc_solvers = Extension(‘misc_solvers’,
libraries = LAPACK_LIB + BLAS_LIB,
library_dirs = [ BLAS_LIB_DIR ],
define_macros = MACROS,
extra_link_args = BLAS_EXTRA_LINK_ARGS,
sources = [‘src/C/misc_solvers.c’] )

extmods += [base, blas, lapack, umfpack, cholmod, amd, misc_solvers]

setup (name = ‘cvxopt’,
description = ‘Convex optimization package’,
version = ‘1.1.6’,
long_description = ”’
CVXOPT is a free software package for convex optimization based on the
Python programming language. It can be used with the interactive Python
interpreter, on the command line by executing Python scripts, or
integrated in other software via Python extension modules. Its main
purpose is to make the development of software for convex optimization
applications straightforward by building on Python’s extensive standard
library and on the strengths of Python as a high-level programming
language.”’,
author = ‘M. Andersen, J. Dahl, and L. Vandenberghe’,
author_email = ‘martin.skovgaard.andersen@gmail.com, dahl.joachim@gmail.com, vandenbe@ee.ucla.edu’,
url = ‘http://abel.ee.ucla.edu/cvxopt’,
license = ‘GNU GPL version 3′,
ext_package = “cvxopt”,
ext_modules = extmods,
package_dir = {“cvxopt”: “src/python”},
packages = [“cvxopt”])

Muy bien, seguidamente desde la terminal compilamos para Python 3 con el siguiente comando:

usuario@nombrepc:~$

python3 setup.py build

Cuando termina de compilar, dentro de la carpeta build que se habrá creado verás una carpeta llamada cvxopt, dicha carpeta la copias en tu sistema dentro de la ruta: /usr/lib/python3/dist-packages . Lo puedes hacer desde la terminal y gráficamente con el siguiente comando:

usuario@nombrepc:~$

gksu nautilus /usr/lib/python3/dist-packages

Eso es todo, ahora ya puedes resolver problemas de Programación Lineal Entera y Binaria con  Cvxopt bajo Pyt4hon 3 en tu Ubuntu. De una forma muy similar lo podrás hacer en cualquier otro sistema Gnu/Linux.

No he conseguido que haya soporte para DSDP, supongo que se debe a que las DSDP de mi Ubuntu están desactualizadas.  El soporte de MOSEK no viene en los repositorios de Ubuntu por no ser libre, deberás instalarlo antes por tu cuenta.

En un artículo posterior detallaré cómo resolver problemas de Programación Lineal Entera Binaria con estas librerías.

Saludos


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