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Started by upstream project "gplibrary_Push_Models" build number 188 originally caused by: Started by GitHub push by bqpd Running as SYSTEM [EnvInject] - Loading node environment variables. Building remotely on macys in workspace /Users/jenkins/workspace/gplibrary_Push_Models/mosek No credentials specified Wiping out workspace first. Cloning the remote Git repository Cloning repository https://github.com/convexengineering/gplibrary > git init /Users/jenkins/workspace/gplibrary_Push_Models/mosek # timeout=10 Fetching upstream changes from https://github.com/convexengineering/gplibrary > git --version # timeout=10 > git fetch --tags --progress https://github.com/convexengineering/gplibrary +refs/heads/*:refs/remotes/origin/* # timeout=10 > git config remote.origin.url https://github.com/convexengineering/gplibrary # timeout=10 > git config --add remote.origin.fetch +refs/heads/*:refs/remotes/origin/* # timeout=10 > git config remote.origin.url https://github.com/convexengineering/gplibrary # timeout=10 Fetching upstream changes from https://github.com/convexengineering/gplibrary > git fetch --tags --progress https://github.com/convexengineering/gplibrary +refs/pull/*:refs/remotes/origin/pr/* +refs/heads/master:refs/remotes/origin/master # timeout=10 Checking out Revision 4e2bfe5f549cc5e92fd1613513f6de169e4e5eca (origin/master) > git config core.sparsecheckout # timeout=10 > git checkout -f 4e2bfe5f549cc5e92fd1613513f6de169e4e5eca # timeout=3 Commit message: "add robust to EXTERNALTESTS" > git rev-list --no-walk 62fd801e15375d0c0a052852b3f9d7633674eda8 # timeout=10 Run condition [Execution node ] enabling prebuild for step [Execute shell] Run condition [Execution node ] enabling prebuild for step [Execute Windows batch command] [Execution node] check if [macys] is in [[macys, macys_VM, reynolds, reynolds-ubuntu16]] Run condition [Execution node ] enabling perform for step [Execute shell] [mosek] $ /bin/bash -xe /var/folders/xs/_fh4l1p54zqcl6mbk4zclcfr0000gp/T/jenkins14542277966406827725.sh + [[ macys == *macys* ]] + export PATH=/usr/bin:/bin:/usr/sbin:/sbin:/usr/local/bin/ + PATH=/usr/bin:/bin:/usr/sbin:/sbin:/usr/local/bin/ + virtualenv /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit New python executable in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/bin/python Installing setuptools, pip, wheel...done. + . /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/bin/activate ++ deactivate nondestructive ++ unset -f pydoc ++ '[' -z '' ']' ++ '[' -z '' ']' ++ '[' -n /bin/bash ']' ++ hash -r ++ '[' -z '' ']' ++ unset VIRTUAL_ENV ++ '[' '!' nondestructive = nondestructive ']' ++ VIRTUAL_ENV=/Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit ++ export VIRTUAL_ENV ++ _OLD_VIRTUAL_PATH=/usr/bin:/bin:/usr/sbin:/sbin:/usr/local/bin/ ++ PATH=/Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/bin:/usr/bin:/bin:/usr/sbin:/sbin:/usr/local/bin/ ++ export PATH ++ '[' -z '' ']' ++ '[' -z '' ']' ++ _OLD_VIRTUAL_PS1= ++ '[' x '!=' x ']' +++ basename /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit ++ PS1='(venv2_gpkit) ' ++ export PS1 ++ alias pydoc ++ '[' -n /bin/bash ']' ++ hash -r ++ which pip + export PIP=/Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/bin/pip + PIP=/Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/bin/pip + pip_install pip + python /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/bin/pip install --upgrade pip DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Requirement already up-to-date: pip in ./venv2_gpkit/lib/python2.7/site-packages (19.2.3) + [[ macys == *reynolds* ]] + [[ macys == *macys* ]] + [[ mosek == mosek ]] + [[ macys == macys ]] + export PATH=/Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/bin:/usr/bin:/bin:/usr/sbin:/sbin:/usr/local/bin/:/Users/jenkins/mosek/8/tools/platform/osx64x86/bin + PATH=/Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/bin:/usr/bin:/bin:/usr/sbin:/sbin:/usr/local/bin/:/Users/jenkins/mosek/8/tools/platform/osx64x86/bin + export DYLD_LIBRARY_PATH=:/Users/jenkins/mosek/8/tools/platform/osx64x86/bin + DYLD_LIBRARY_PATH=:/Users/jenkins/mosek/8/tools/platform/osx64x86/bin + python /Users/jenkins/mosek/8/tools/platform/osx64x86/python/2/setup.py install running install running build running build_py running build_ext copying mosek/_msk.so -> build/lib.macosx-10.13-intel-2.7/mosek copying mosek/fusion/impl/fragments.so -> build/lib.macosx-10.13-intel-2.7/mosek/fusion/impl running install_lib creating /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek copying build/lib.macosx-10.13-intel-2.7/mosek/__init__.py -> /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek copying build/lib.macosx-10.13-intel-2.7/mosek/_msk.so -> /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek creating /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/fusion copying build/lib.macosx-10.13-intel-2.7/mosek/fusion/__init__.py -> /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/fusion creating /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/fusion/impl copying build/lib.macosx-10.13-intel-2.7/mosek/fusion/impl/__init__.py -> /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/fusion/impl copying build/lib.macosx-10.13-intel-2.7/mosek/fusion/impl/_implementation.py -> /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/fusion/impl copying build/lib.macosx-10.13-intel-2.7/mosek/fusion/impl/fragments.so -> /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/fusion/impl copying build/lib.macosx-10.13-intel-2.7/mosek/fusion/Utils.py -> /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/fusion byte-compiling /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/__init__.py to __init__.pyc byte-compiling /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/fusion/__init__.py to __init__.pyc byte-compiling /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/fusion/impl/__init__.py to __init__.pyc byte-compiling /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/fusion/impl/_implementation.py to _implementation.pyc byte-compiling /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/fusion/Utils.py to Utils.pyc running install_egg_info Writing /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/Mosek-8.1.41-py2.7.egg-info Fixing library paths copying /Users/jenkins/mosek/8/tools/platform/osx64x86/bin/libmosek64.8.1.dylib -> /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/ copying /Users/jenkins/mosek/8/tools/platform/osx64x86/bin/libcilkrts.5.dylib -> /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/mosek/ + [[ mosek == mosek ]] + python -c '__import__("mosek").Env()' + msktestlic Mosek license manager: License path: /Users/jenkins/mosek/mosek.lic Mosek license manager: Checkout license feature 'PTS' from flexlm. Mosek license manager: Checkout time 0.01. r: 0 status: 0 Problem Name : Objective sense : min Type : LO (linear optimization problem) Constraints : 1 Cones : 0 Scalar variables : 5000 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Eliminator started. Freed constraints in eliminator : 0 Eliminator terminated. Eliminator - tries : 1 time : 0.00 Lin. dep. - tries : 0 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.00 Optimizer terminated. Time: 0.00 ************************************ A license was checked out correctly. ************************************ + export 'GPKITSOLVERS=mosek, mosek_cli' + GPKITSOLVERS='mosek, mosek_cli' + [[ mosek == cvxopt ]] + pip_install xmlrunner + python /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/bin/pip install --upgrade xmlrunner DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting xmlrunner Installing collected packages: xmlrunner Successfully installed xmlrunner-1.7.7 + pip_install pint + python /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/bin/pip install --upgrade pint DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting pint Using cached https://files.pythonhosted.org/packages/15/9d/bf177ebbc57d25e9e296addc14a1303d1e34d7964af5df428a8332349c42/Pint-0.9-py2.py3-none-any.whl Collecting funcsigs; python_version == "2.7" (from pint) Using cached https://files.pythonhosted.org/packages/69/cb/f5be453359271714c01b9bd06126eaf2e368f1fddfff30818754b5ac2328/funcsigs-1.0.2-py2.py3-none-any.whl Installing collected packages: funcsigs, pint Successfully installed funcsigs-1.0.2 pint-0.9 + pip_install numpy + python /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/bin/pip install --upgrade numpy DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting numpy Using cached https://files.pythonhosted.org/packages/51/67/8907005262f493e356195bcbd61b41988eecf63cb1d97ea2f6e55fe24205/numpy-1.16.5-cp27-cp27m-macosx_10_9_x86_64.whl Installing collected packages: numpy Successfully installed numpy-1.16.5 + pip_install scipy + python /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/bin/pip install --upgrade scipy DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting scipy Using cached https://files.pythonhosted.org/packages/a3/cf/36b77de4ccb1b841acd4c3c03abe38843c63c3a657cedee9e8fb19a02dc8/scipy-1.2.2-cp27-cp27m-macosx_10_6_intel.macosx_10_9_intel.macosx_10_9_x86_64.macosx_10_10_intel.macosx_10_10_x86_64.whl Requirement already satisfied, skipping upgrade: numpy>=1.8.2 in ./venv2_gpkit/lib/python2.7/site-packages (from scipy) (1.16.5) Installing collected packages: scipy Successfully installed scipy-1.2.2 + pip_install ad + python /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/bin/pip install --upgrade ad DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting ad Installing collected packages: ad Successfully installed ad-1.3.2 + pip_install ctypesgen + python /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/bin/pip install --upgrade ctypesgen DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting ctypesgen Installing collected packages: ctypesgen Successfully installed ctypesgen-0.post125 + pip_install pandas + python /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/bin/pip install --upgrade pandas DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting pandas Using cached https://files.pythonhosted.org/packages/52/ff/912fe03a623a70bcf297d466013a0b4f4c68c3b60f86bf226682d061fc09/pandas-0.24.2-cp27-cp27m-macosx_10_6_intel.macosx_10_9_intel.macosx_10_9_x86_64.macosx_10_10_intel.macosx_10_10_x86_64.whl Collecting python-dateutil>=2.5.0 (from pandas) Using cached https://files.pythonhosted.org/packages/41/17/c62faccbfbd163c7f57f3844689e3a78bae1f403648a6afb1d0866d87fbb/python_dateutil-2.8.0-py2.py3-none-any.whl Requirement already satisfied, skipping upgrade: numpy>=1.12.0 in ./venv2_gpkit/lib/python2.7/site-packages (from pandas) (1.16.5) Collecting pytz>=2011k (from pandas) Using cached https://files.pythonhosted.org/packages/87/76/46d697698a143e05f77bec5a526bf4e56a0be61d63425b68f4ba553b51f2/pytz-2019.2-py2.py3-none-any.whl Collecting six>=1.5 (from python-dateutil>=2.5.0->pandas) Using cached https://files.pythonhosted.org/packages/73/fb/00a976f728d0d1fecfe898238ce23f502a721c0ac0ecfedb80e0d88c64e9/six-1.12.0-py2.py3-none-any.whl Installing collected packages: six, python-dateutil, pytz, pandas Successfully installed pandas-0.24.2 python-dateutil-2.8.0 pytz-2019.2 six-1.12.0 + pip_install matplotlib + python /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/bin/pip install --upgrade matplotlib DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting matplotlib Using cached https://files.pythonhosted.org/packages/3e/d6/4c949597c4186599cc8be08cd11b1e83fe7966676aeee3868bf3e581d852/matplotlib-2.2.4-cp27-cp27m-macosx_10_6_intel.macosx_10_9_intel.macosx_10_9_x86_64.macosx_10_10_intel.macosx_10_10_x86_64.whl Collecting kiwisolver>=1.0.1 (from matplotlib) Using cached https://files.pythonhosted.org/packages/0d/15/ec5f70ac79f378ed0ef5ed8b71e8a04e382115426b2cda9a3ab5ffcf467f/kiwisolver-1.1.0-cp27-cp27m-macosx_10_6_intel.macosx_10_9_intel.macosx_10_9_x86_64.macosx_10_10_intel.macosx_10_10_x86_64.whl Collecting cycler>=0.10 (from matplotlib) Using cached https://files.pythonhosted.org/packages/f7/d2/e07d3ebb2bd7af696440ce7e754c59dd546ffe1bbe732c8ab68b9c834e61/cycler-0.10.0-py2.py3-none-any.whl Collecting subprocess32 (from matplotlib) Using cached https://files.pythonhosted.org/packages/35/f3/7cdeeef9cb05c42fadcc8aa040dd3b80d94e0f6a8dedc4bacebf796c2385/subprocess32-3.5.4-cp27-cp27m-macosx_10_6_intel.whl Requirement already satisfied, skipping upgrade: pytz in ./venv2_gpkit/lib/python2.7/site-packages (from matplotlib) (2019.2) Requirement already satisfied, skipping upgrade: six>=1.10 in ./venv2_gpkit/lib/python2.7/site-packages (from matplotlib) (1.12.0) Collecting backports.functools-lru-cache (from matplotlib) Using cached https://files.pythonhosted.org/packages/03/8e/2424c0e65c4a066e28f539364deee49b6451f8fcd4f718fefa50cc3dcf48/backports.functools_lru_cache-1.5-py2.py3-none-any.whl Requirement already satisfied, skipping upgrade: numpy>=1.7.1 in ./venv2_gpkit/lib/python2.7/site-packages (from matplotlib) (1.16.5) Collecting pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 (from matplotlib) Using cached https://files.pythonhosted.org/packages/11/fa/0160cd525c62d7abd076a070ff02b2b94de589f1a9789774f17d7c54058e/pyparsing-2.4.2-py2.py3-none-any.whl Requirement already satisfied, skipping upgrade: python-dateutil>=2.1 in ./venv2_gpkit/lib/python2.7/site-packages (from matplotlib) (2.8.0) Requirement already satisfied, skipping upgrade: setuptools in ./venv2_gpkit/lib/python2.7/site-packages (from kiwisolver>=1.0.1->matplotlib) (41.2.0) Installing collected packages: kiwisolver, cycler, subprocess32, backports.functools-lru-cache, pyparsing, matplotlib Successfully installed backports.functools-lru-cache-1.5 cycler-0.10.0 kiwisolver-1.1.0 matplotlib-2.2.4 pyparsing-2.4.2 subprocess32-3.5.4 + export GPKITBUILD=/Users/jenkins/workspace/gplibrary_Push_Models/mosek/build_gpkit + GPKITBUILD=/Users/jenkins/workspace/gplibrary_Push_Models/mosek/build_gpkit + python -c 'import scipy; print scipy.__version__' 1.2.2 + python -c 'import numpy; print numpy.__version__' 1.16.5 + python -c 'import pint; print pint.__version__' 0.9 + git clone --depth 1 https://github.com/convexengineering/gpkit.git Cloning into 'gpkit'... + python /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/bin/pip install --no-cache-dir -e /Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Obtaining file:///Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit Requirement already satisfied: numpy>=1.13.3 in ./venv2_gpkit/lib/python2.7/site-packages (from gpkit==0.9.1.0) (1.16.5) Requirement already satisfied: pint>=0.8.1 in ./venv2_gpkit/lib/python2.7/site-packages (from gpkit==0.9.1.0) (0.9) Requirement already satisfied: scipy in ./venv2_gpkit/lib/python2.7/site-packages (from gpkit==0.9.1.0) (1.2.2) Requirement already satisfied: ad in ./venv2_gpkit/lib/python2.7/site-packages (from gpkit==0.9.1.0) (1.3.2) Collecting cvxopt>=1.1.8 (from gpkit==0.9.1.0) Downloading https://files.pythonhosted.org/packages/69/4f/167a7f5b11274eb8722e93b26c687c71499ae563083104c5b25dd2252990/cvxopt-1.2.3-cp27-cp27m-macosx_10_6_intel.macosx_10_9_intel.macosx_10_9_x86_64.macosx_10_10_intel.macosx_10_10_x86_64.whl (5.7MB) Requirement already satisfied: six in ./venv2_gpkit/lib/python2.7/site-packages (from gpkit==0.9.1.0) (1.12.0) Requirement already satisfied: funcsigs; python_version == "2.7" in ./venv2_gpkit/lib/python2.7/site-packages (from pint>=0.8.1->gpkit==0.9.1.0) (1.0.2) Installing collected packages: cvxopt, gpkit Running setup.py develop for gpkit Successfully installed cvxopt-1.2.3 gpkit + python /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/bin/pip install --no-cache-dir -e /Users/jenkins/workspace/gplibrary_Push_Models/mosek DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Obtaining file:///Users/jenkins/workspace/gplibrary_Push_Models/mosek Requirement already satisfied: numpy>=1.12 in ./venv2_gpkit/lib/python2.7/site-packages (from gpkitmodels==0.0.0.0) (1.16.5) Requirement already satisfied: scipy in ./venv2_gpkit/lib/python2.7/site-packages (from gpkitmodels==0.0.0.0) (1.2.2) Requirement already satisfied: pint in ./venv2_gpkit/lib/python2.7/site-packages (from gpkitmodels==0.0.0.0) (0.9) Requirement already satisfied: funcsigs; python_version == "2.7" in ./venv2_gpkit/lib/python2.7/site-packages (from pint->gpkitmodels==0.0.0.0) (1.0.2) Installing collected packages: gpkitmodels Running setup.py develop for gpkitmodels Successfully installed gpkitmodels + export MSK_IPAR_NUM_THREADS=2 + MSK_IPAR_NUM_THREADS=2 + export MKL_NUM_THREADS=2 + MKL_NUM_THREADS=2 + export NUMEXPR_NUM_THREADS=2 + NUMEXPR_NUM_THREADS=2 + export OPENBLAS_NUM_THREADS=2 + OPENBLAS_NUM_THREADS=2 + export OMP_NUM_THREADS=2 + OMP_NUM_THREADS=2 + python -c 'from gpkit.tests.test_repo import test_repos; test_repos(xmloutput=True)' No filename given. Usage: mskexpopt FILENAME [-primal] [-dual] [-p parameterfile] Return code: 1052 Description: MSK_RES_ERR_FILE_OPEN [An error occurred while opening a file.] ................................................................................................................................................................................................................................................... ---------------------------------------------------------------------- Ran 243 tests in 15.448s OK Cloning into 'gplibrary'... DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Obtaining file:///Users/jenkins/workspace/gplibrary_Push_Models/mosek/gplibrary Installing collected packages: gpkitmodels Found existing installation: gpkitmodels 0.0.0.0 Uninstalling gpkitmodels-0.0.0.0: Successfully uninstalled gpkitmodels-0.0.0.0 Running setup.py develop for gpkitmodels Successfully installed gpkitmodels Cloning into 'robust'... DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Processing /Users/jenkins/workspace/gplibrary_Push_Models/mosek/robust Requirement already satisfied: gpkit in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit (from robust==0.0.0) (0.9.1.0) Requirement already satisfied: numpy in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from robust==0.0.0) (1.16.5) Requirement already satisfied: matplotlib in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from robust==0.0.0) (2.2.4) Requirement already satisfied: scipy in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from robust==0.0.0) (1.2.2) Requirement already satisfied: pint>=0.8.1 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->robust==0.0.0) (0.9) Requirement already satisfied: ad in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->robust==0.0.0) (1.3.2) Requirement already satisfied: cvxopt>=1.1.8 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->robust==0.0.0) (1.2.3) Requirement already satisfied: six in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->robust==0.0.0) (1.12.0) Requirement already satisfied: kiwisolver>=1.0.1 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from matplotlib->robust==0.0.0) (1.1.0) Requirement already satisfied: cycler>=0.10 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from matplotlib->robust==0.0.0) (0.10.0) Requirement already satisfied: subprocess32 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from matplotlib->robust==0.0.0) (3.5.4) Requirement already satisfied: pytz in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from matplotlib->robust==0.0.0) (2019.2) Requirement already satisfied: backports.functools-lru-cache in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from matplotlib->robust==0.0.0) (1.5) Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from matplotlib->robust==0.0.0) (2.4.2) Requirement already satisfied: python-dateutil>=2.1 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from matplotlib->robust==0.0.0) (2.8.0) Requirement already satisfied: funcsigs; python_version == "2.7" in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pint>=0.8.1->gpkit->robust==0.0.0) (1.0.2) Requirement already satisfied: setuptools in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from kiwisolver>=1.0.1->matplotlib->robust==0.0.0) (41.2.0) Building wheels for collected packages: robust Building wheel for robust (setup.py): started Building wheel for robust (setup.py): finished with status 'done' Created wheel for robust: filename=robust-0.0.0-cp27-none-any.whl size=216974 sha256=68be315a995a90405501dfb08c97e2bd417bef03da197005ff2bbdceeab9af2c Stored in directory: /private/var/folders/xs/_fh4l1p54zqcl6mbk4zclcfr0000gp/T/pip-ephem-wheel-cache-1Qpalx/wheels/f5/9a/8f/c003ca5afde488728c792838e0c6645a1e18500b3cc3703684 Successfully built robust Installing collected packages: robust Successfully installed robust-0.0.0 Running tests... ---------------------------------------------------------------------- EEEEEEEEEE ====================================================================== ERROR [0.002s]: test_robust_testing_t_equivalent_posynomials_py_mosek (gpkit.tests.from_paths.TestFiles) ---------------------------------------------------------------------- Traceback (most recent call last): File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/helpers.py", line 64, in test testfn(name, import_dict, path)(self) File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 51, in <lambda> lambda self: getattr(self, name)())) # pylint:disable=undefined-variable File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 37, in test_fn mod = __import__(os.path.basename(path)[:-3]) File "t_equivalent_posynomials.py", line 1, in <module> ImportError: No module named builtins ====================================================================== ERROR [0.001s]: test_robust_testing_t_equivalent_posynomials_py_mosek_cli (gpkit.tests.from_paths.TestFiles) ---------------------------------------------------------------------- Traceback (most recent call last): File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/helpers.py", line 64, in test testfn(name, import_dict, path)(self) File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 51, in <lambda> lambda self: getattr(self, name)())) # pylint:disable=undefined-variable File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 37, in test_fn mod = __import__(os.path.basename(path)[:-3]) File "t_equivalent_posynomials.py", line 1, in <module> ImportError: No module named builtins ====================================================================== ERROR [0.002s]: test_robust_testing_t_linearization_py_mosek (gpkit.tests.from_paths.TestFiles) ---------------------------------------------------------------------- Traceback (most recent call last): File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/helpers.py", line 64, in test testfn(name, import_dict, path)(self) File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 51, in <lambda> lambda self: getattr(self, name)())) # pylint:disable=undefined-variable File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 37, in test_fn mod = __import__(os.path.basename(path)[:-3]) File "t_linearization.py", line 2, in <module> ImportError: No module named builtins ====================================================================== ERROR [0.001s]: test_robust_testing_t_linearization_py_mosek_cli (gpkit.tests.from_paths.TestFiles) ---------------------------------------------------------------------- Traceback (most recent call last): File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/helpers.py", line 64, in test testfn(name, import_dict, path)(self) File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 51, in <lambda> lambda self: getattr(self, name)())) # pylint:disable=undefined-variable File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 37, in test_fn mod = __import__(os.path.basename(path)[:-3]) File "t_linearization.py", line 2, in <module> ImportError: No module named builtins ====================================================================== ERROR [0.002s]: test_robust_testing_t_primitives_py_mosek (gpkit.tests.from_paths.TestFiles) ---------------------------------------------------------------------- Traceback (most recent call last): File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/helpers.py", line 64, in test testfn(name, import_dict, path)(self) File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 51, in <lambda> lambda self: getattr(self, name)())) # pylint:disable=undefined-variable File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 37, in test_fn mod = __import__(os.path.basename(path)[:-3]) File "t_primitives.py", line 1, in <module> File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/robust/robust_gp_tools.py", line 3, in <module> from builtins import range ImportError: No module named builtins ====================================================================== ERROR [0.001s]: test_robust_testing_t_primitives_py_mosek_cli (gpkit.tests.from_paths.TestFiles) ---------------------------------------------------------------------- Traceback (most recent call last): File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/helpers.py", line 64, in test testfn(name, import_dict, path)(self) File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 51, in <lambda> lambda self: getattr(self, name)())) # pylint:disable=undefined-variable File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 37, in test_fn mod = __import__(os.path.basename(path)[:-3]) File "t_primitives.py", line 1, in <module> File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/robust/robust_gp_tools.py", line 3, in <module> from builtins import range ImportError: No module named builtins ====================================================================== ERROR [0.001s]: test_robust_testing_t_robust_gp_tools_py_mosek (gpkit.tests.from_paths.TestFiles) ---------------------------------------------------------------------- Traceback (most recent call last): File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/helpers.py", line 64, in test testfn(name, import_dict, path)(self) File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 51, in <lambda> lambda self: getattr(self, name)())) # pylint:disable=undefined-variable File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 37, in test_fn mod = __import__(os.path.basename(path)[:-3]) File "t_robust_gp_tools.py", line 1, in <module> ImportError: No module named builtins ====================================================================== ERROR [0.001s]: test_robust_testing_t_robust_gp_tools_py_mosek_cli (gpkit.tests.from_paths.TestFiles) ---------------------------------------------------------------------- Traceback (most recent call last): File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/helpers.py", line 64, in test testfn(name, import_dict, path)(self) File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 51, in <lambda> lambda self: getattr(self, name)())) # pylint:disable=undefined-variable File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 37, in test_fn mod = __import__(os.path.basename(path)[:-3]) File "t_robust_gp_tools.py", line 1, in <module> ImportError: No module named builtins ====================================================================== ERROR [0.002s]: test_robust_testing_t_two_term_approximation_py_mosek (gpkit.tests.from_paths.TestFiles) ---------------------------------------------------------------------- Traceback (most recent call last): File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/helpers.py", line 64, in test testfn(name, import_dict, path)(self) File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 51, in <lambda> lambda self: getattr(self, name)())) # pylint:disable=undefined-variable File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 37, in test_fn mod = __import__(os.path.basename(path)[:-3]) File "t_two_term_approximation.py", line 2, in <module> ImportError: No module named builtins ====================================================================== ERROR [0.001s]: test_robust_testing_t_two_term_approximation_py_mosek_cli (gpkit.tests.from_paths.TestFiles) ---------------------------------------------------------------------- Traceback (most recent call last): File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/helpers.py", line 64, in test testfn(name, import_dict, path)(self) File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 51, in <lambda> lambda self: getattr(self, name)())) # pylint:disable=undefined-variable File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 37, in test_fn mod = __import__(os.path.basename(path)[:-3]) File "t_two_term_approximation.py", line 2, in <module> ImportError: No module named builtins ---------------------------------------------------------------------- Ran 10 tests in 0.014s FAILED (errors=10) Generating XML reports... adding test for 'robust/testing/t_linearization.py' adding test for 'robust/testing/t_equivalent_posynomials.py' adding test for 'robust/testing/t_two_term_approximation.py' adding test for 'robust/testing/t_robust_gp_tools.py' adding test for 'robust/testing/t_primitives.py' Cloning into 'shopping'... Running tests... ---------------------------------------------------------------------- ... ---------------------------------------------------------------------- Ran 3 tests in 0.200s OK Generating XML reports... adding test for 'test.py' Using solver 'mosek' Solving for 25 variables. Solving took 0.0164 seconds. Using solver 'mosek' Solving for 25 variables. Solving took 0.0135 seconds. Using solver 'mosek_cli' Solving for 25 variables. Solving took 0.0382 seconds. Cloning into 'gassolar'... DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Requirement already satisfied: pandas in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (0.24.2) Requirement already satisfied: python-dateutil>=2.5.0 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pandas) (2.8.0) Requirement already satisfied: numpy>=1.12.0 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pandas) (1.16.5) Requirement already satisfied: pytz>=2011k in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pandas) (2019.2) Requirement already satisfied: six>=1.5 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from python-dateutil>=2.5.0->pandas) (1.12.0) DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting git+https://github.com/hoburg/gpfit.git Cloning https://github.com/hoburg/gpfit.git to /private/var/folders/xs/_fh4l1p54zqcl6mbk4zclcfr0000gp/T/pip-req-build-rxqosl Running command git clone -q https://github.com/hoburg/gpfit.git /private/var/folders/xs/_fh4l1p54zqcl6mbk4zclcfr0000gp/T/pip-req-build-rxqosl Requirement already satisfied: numpy in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpfit==0.1) (1.16.5) Requirement already satisfied: scipy in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpfit==0.1) (1.2.2) Requirement already satisfied: gpkit in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit (from gpfit==0.1) (0.9.1.0) Requirement already satisfied: pint>=0.8.1 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->gpfit==0.1) (0.9) Requirement already satisfied: ad in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->gpfit==0.1) (1.3.2) Requirement already satisfied: cvxopt>=1.1.8 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->gpfit==0.1) (1.2.3) Requirement already satisfied: six in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->gpfit==0.1) (1.12.0) Requirement already satisfied: funcsigs; python_version == "2.7" in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pint>=0.8.1->gpkit->gpfit==0.1) (1.0.2) Building wheels for collected packages: gpfit Building wheel for gpfit (setup.py): started Building wheel for gpfit (setup.py): finished with status 'done' Created wheel for gpfit: filename=gpfit-0.1-cp27-none-any.whl size=25151 sha256=deb1faf6d14ac7c5330d662c8276d1f219023643d36d58ca7ece7eede846476b Stored in directory: /private/var/folders/xs/_fh4l1p54zqcl6mbk4zclcfr0000gp/T/pip-ephem-wheel-cache-m0eeDt/wheels/4d/4b/2e/9480645acbe8d32004b09b3732f616bbb2a9ee75e4526f058f Successfully built gpfit Installing collected packages: gpfit Successfully installed gpfit-0.1 DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Processing /Users/jenkins/workspace/gplibrary_Push_Models/mosek/gassolar Requirement already satisfied: numpy in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gassolar==0.0.0.0) (1.16.5) Requirement already satisfied: scipy in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gassolar==0.0.0.0) (1.2.2) Requirement already satisfied: gpkit in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit (from gassolar==0.0.0.0) (0.9.1.0) Requirement already satisfied: pandas in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gassolar==0.0.0.0) (0.24.2) Requirement already satisfied: gpfit in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gassolar==0.0.0.0) (0.1) Requirement already satisfied: pint>=0.8.1 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->gassolar==0.0.0.0) (0.9) Requirement already satisfied: ad in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->gassolar==0.0.0.0) (1.3.2) Requirement already satisfied: cvxopt>=1.1.8 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->gassolar==0.0.0.0) (1.2.3) Requirement already satisfied: six in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->gassolar==0.0.0.0) (1.12.0) Requirement already satisfied: python-dateutil>=2.5.0 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pandas->gassolar==0.0.0.0) (2.8.0) Requirement already satisfied: pytz>=2011k in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pandas->gassolar==0.0.0.0) (2019.2) Requirement already satisfied: funcsigs; python_version == "2.7" in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pint>=0.8.1->gpkit->gassolar==0.0.0.0) (1.0.2) Building wheels for collected packages: gassolar Building wheel for gassolar (setup.py): started Building wheel for gassolar (setup.py): finished with status 'done' Created wheel for gassolar: filename=gassolar-0.0.0.0-cp27-none-any.whl size=4876517 sha256=d1aeb169cc53c84c51e4865ac9b28f49f040c9937fefbcf6818e835a6c1e5268 Stored in directory: /private/var/folders/xs/_fh4l1p54zqcl6mbk4zclcfr0000gp/T/pip-ephem-wheel-cache-Kil1px/wheels/41/0a/8d/447392359ea0dc499510d6781d4893f34e301ac2b844c7bed4 Successfully built gassolar Installing collected packages: gassolar Successfully installed gassolar-0.0.0.0 Running tests... ---------------------------------------------------------------------- /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/pint/quantity.py:1377: UnitStrippedWarning: The unit of the quantity is stripped. warnings.warn("The unit of the quantity is stripped.", UnitStrippedWarning) ../Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/gassolar/environment/solar_irradiance.py:40: RuntimeWarning: overflow encountered in exp tau = np.exp(-0.175/costhsun) .. ---------------------------------------------------------------------- Ran 4 tests in 14.740s OK Generating XML reports... adding test for 'gassolar/gas/gas.py' adding test for 'gassolar/solar/solar.py' Using solver 'mosek' Solving for 592 variables. Solving took 0.0531 seconds. Warning: Variable Mission.Climb.FlightSegment.AircraftPerf.EnginePerf.P_{total}[:]/Mission.Climb.FlightSegment.Aircraf could cause inaccurate result because it is above upper bound. Solution is 1.0000 but bound is 0.9685 Beginning signomial solve. Solving took 4 GP solves and 0.281 seconds. Warning: Variable Mission1.Climb.FlightSegment.AircraftPerf.EnginePerf.P_{total}[:]/Mission1.Climb.FlightSegment.Aircr could cause inaccurate result because it is above upper bound. Solution is 1.0000 but bound is 0.9685 Using solver 'mosek' Solving for 592 variables. Solving took 0.0566 seconds. Warning: Variable Mission.Climb.FlightSegment.AircraftPerf.EnginePerf.P_{total}[:]/Mission.Climb.FlightSegment.Aircraf could cause inaccurate result because it is above upper bound. Solution is 1.0000 but bound is 0.9685 Beginning signomial solve. Solving took 4 GP solves and 0.512 seconds. Warning: Variable Mission1.Climb.FlightSegment.AircraftPerf.EnginePerf.P_{total}[:]/Mission1.Climb.FlightSegment.Aircr could cause inaccurate result because it is above upper bound. Solution is 1.0000 but bound is 0.9685 Using solver 'mosek' Solving for 1250 variables. Solving took 0.23 seconds. Warning: Variable Mission.FlightSegment.AircraftPerf.WingAero.Re could cause inaccurate result because it is below lower bound. Solution is 102558.3538 but bound is 150000.0000 Warning: Variable Mission.FlightSegment10.AircraftPerf.WingAero.Re could cause inaccurate result because it is below lower bound. Solution is 102558.3827 but bound is 150000.0000 Beginning signomial solve. Solving took 4 GP solves and 1.07 seconds. Warning: Variable Mission1.FlightSegment.AircraftPerf.WingAero.Re could cause inaccurate result because it is below lower bound. Solution is 103379.4301 but bound is 150000.0000 Warning: Variable Mission1.FlightSegment10.AircraftPerf.WingAero.Re could cause inaccurate result because it is below lower bound. Solution is 103406.0835 but bound is 150000.0000 Using solver 'mosek_cli' Solving for 1250 variables. Solving took 0.283 seconds. Warning: Variable Mission.FlightSegment.AircraftPerf.WingAero.Re could cause inaccurate result because it is below lower bound. Solution is 102558.6388 but bound is 150000.0000 Warning: Variable Mission.FlightSegment10.AircraftPerf.WingAero.Re could cause inaccurate result because it is below lower bound. Solution is 102558.6388 but bound is 150000.0000 Beginning signomial solve. Solving took 4 GP solves and 1.38 seconds. Warning: Variable Mission1.FlightSegment.AircraftPerf.WingAero.Re could cause inaccurate result because it is below lower bound. Solution is 103379.2971 but bound is 150000.0000 Warning: Variable Mission1.FlightSegment10.AircraftPerf.WingAero.Re could cause inaccurate result because it is below lower bound. Solution is 103406.1793 but bound is 150000.0000 Cloning into 'jho'... DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Requirement already satisfied: pandas in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (0.24.2) Requirement already satisfied: python-dateutil>=2.5.0 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pandas) (2.8.0) Requirement already satisfied: numpy>=1.12.0 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pandas) (1.16.5) Requirement already satisfied: pytz>=2011k in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pandas) (2019.2) Requirement already satisfied: six>=1.5 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from python-dateutil>=2.5.0->pandas) (1.12.0) DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting git+https://github.com/hoburg/gpfit.git Cloning https://github.com/hoburg/gpfit.git to /private/var/folders/xs/_fh4l1p54zqcl6mbk4zclcfr0000gp/T/pip-req-build-vAdsKm Running command git clone -q https://github.com/hoburg/gpfit.git /private/var/folders/xs/_fh4l1p54zqcl6mbk4zclcfr0000gp/T/pip-req-build-vAdsKm Requirement already satisfied (use --upgrade to upgrade): gpfit==0.1 from git+https://github.com/hoburg/gpfit.git in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages Requirement already satisfied: numpy in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpfit==0.1) (1.16.5) Requirement already satisfied: scipy in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpfit==0.1) (1.2.2) Requirement already satisfied: gpkit in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit (from gpfit==0.1) (0.9.1.0) Requirement already satisfied: pint>=0.8.1 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->gpfit==0.1) (0.9) Requirement already satisfied: ad in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->gpfit==0.1) (1.3.2) Requirement already satisfied: cvxopt>=1.1.8 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->gpfit==0.1) (1.2.3) Requirement already satisfied: six in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->gpfit==0.1) (1.12.0) Requirement already satisfied: funcsigs; python_version == "2.7" in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pint>=0.8.1->gpkit->gpfit==0.1) (1.0.2) Building wheels for collected packages: gpfit Building wheel for gpfit (setup.py): started Building wheel for gpfit (setup.py): finished with status 'done' Created wheel for gpfit: filename=gpfit-0.1-cp27-none-any.whl size=25151 sha256=cc5b16074f9bccc4857789e75740b36fae33433dd7efa37aa17f00795c56c431 Stored in directory: /private/var/folders/xs/_fh4l1p54zqcl6mbk4zclcfr0000gp/T/pip-ephem-wheel-cache-k48lUh/wheels/4d/4b/2e/9480645acbe8d32004b09b3732f616bbb2a9ee75e4526f058f Successfully built gpfit Running tests... ---------------------------------------------------------------------- /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/pint/quantity.py:1377: UnitStrippedWarning: The unit of the quantity is stripped. warnings.warn("The unit of the quantity is stripped.", UnitStrippedWarning) .... ---------------------------------------------------------------------- Ran 4 tests in 17.548s OK Generating XML reports... adding test for 'model/jho.py' adding test for 'model/print_perf.py' Beginning signomial solve. Allowing negative dual variable(s) as small as -1.2566195913693567e-13. Solving took 4 GP solves and 0.72 seconds. Beginning signomial solve. Allowing negative dual variable(s) as small as -1.269612e-13. Solving took 4 GP solves and 1.12 seconds. Allowing negative dual variable(s) as small as -6.193960275235888e-13. Allowing negative dual variable(s) as small as -1.3846424549469882e-13. MTOW [lbs] = 141.77 Zero fuel weight [lbs] = 53.80 Wing span [ft] = 24.00 Aicraft length [ft] = 12.90 Aspect ratio = 25.60 mean aerodynamic chord [ft] = 0.9722 root chord [ft] = 1.250 speed for best rate of climb [m/s]: Vy = 21.829 speed at top of climb [m/s] = 26.626 design loiter speed [m/s] = 25.071 rotation speed at 55 lbs [m/s] = 18.185 rotation speed at 150 lbs [m/s] = 28.236 Allowing negative dual variable(s) as small as -1.3846424549469882e-13. optimum loiter speed for min power, start of loiter [m/s] = 25.356 optimum loiter speed for min power, end of loiter [m/s] = 25.000 optimum cruise speed, inbound [m/s] = 25.637 optimum cruise speed, outbound [m/s] = 36.421 Beginning signomial solve. Allowing negative dual variable(s) as small as -7.171202259721421e-12. Solving took 4 GP solves and 0.988 seconds. Max Speed [m/s]: 74.76 Beginning signomial solve. Solving took 4 GP solves and 0.505 seconds. Max payload weight [lbf] = 28.242 Max take off weight [lbf] = 166.638 Allowing negative dual variable(s) as small as -6.188938e-13. Allowing negative dual variable(s) as small as -1.385335e-13. MTOW [lbs] = 141.77 Zero fuel weight [lbs] = 53.80 Wing span [ft] = 24.00 Aicraft length [ft] = 12.90 Aspect ratio = 25.60 mean aerodynamic chord [ft] = 0.9722 root chord [ft] = 1.250 speed for best rate of climb [m/s]: Vy = 21.829 speed at top of climb [m/s] = 26.626 design loiter speed [m/s] = 25.071 rotation speed at 55 lbs [m/s] = 18.185 rotation speed at 150 lbs [m/s] = 28.236 Allowing negative dual variable(s) as small as -1.385335e-13. optimum loiter speed for min power, start of loiter [m/s] = 25.356 optimum loiter speed for min power, end of loiter [m/s] = 25.000 optimum cruise speed, inbound [m/s] = 25.637 optimum cruise speed, outbound [m/s] = 36.421 Beginning signomial solve. Allowing negative dual variable(s) as small as -7.171066e-12. Solving took 4 GP solves and 1.29 seconds. Max Speed [m/s]: 74.76 Beginning signomial solve. Solving took 4 GP solves and 0.825 seconds. Max payload weight [lbf] = 28.242 Max take off weight [lbf] = 166.638 Cloning into 'turbofan'... DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Processing /Users/jenkins/workspace/gplibrary_Push_Models/mosek/turbofan Requirement already satisfied: numpy in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from turbofan==0.0.0.0) (1.16.5) Requirement already satisfied: scipy in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from turbofan==0.0.0.0) (1.2.2) Requirement already satisfied: pint in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from turbofan==0.0.0.0) (0.9) Collecting future (from turbofan==0.0.0.0) Requirement already satisfied: funcsigs; python_version == "2.7" in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pint->turbofan==0.0.0.0) (1.0.2) Building wheels for collected packages: turbofan Building wheel for turbofan (setup.py): started Building wheel for turbofan (setup.py): finished with status 'done' Created wheel for turbofan: filename=turbofan-0.0.0.0-cp27-none-any.whl size=45142 sha256=e1b7301865823dc86b118cf68baba1b0c0b3ed21681db7ab40bf35a47c4aeae6 Stored in directory: /private/var/folders/xs/_fh4l1p54zqcl6mbk4zclcfr0000gp/T/pip-ephem-wheel-cache-hZk25j/wheels/b5/2f/48/b751d4bab5d719a7de0cd9181de34b2f4449cb2da5aec6f23d Successfully built turbofan Installing collected packages: future, turbofan Successfully installed future-0.17.1 turbofan-0.0.0.0 Running tests... ---------------------------------------------------------------------- . ---------------------------------------------------------------------- Ran 1 test in 0.883s OK Generating XML reports... adding test for 'turbofan/engine_test.py' Beginning signomial solve. Using solver 'mosek' Solving for 327 variables. Solving took 0.0286 seconds. Using solver 'mosek' Solving for 327 variables. Solving took 0.0196 seconds. Using solver 'mosek' Solving for 327 variables. Solving took 0.025 seconds. Using solver 'mosek' Solving for 327 variables. Solving took 0.0217 seconds. Using solver 'mosek' Solving for 327 variables. Solving took 0.0188 seconds. Using solver 'mosek' Solving for 327 variables. Solving took 0.0211 seconds. Using solver 'mosek' Solving for 327 variables. Solving took 0.0223 seconds. Using solver 'mosek' Solving for 327 variables. Solving took 0.021 seconds. Using solver 'mosek' Solving for 327 variables. Solving took 0.0313 seconds. Using solver 'mosek' Solving for 327 variables. Solving took 0.0334 seconds. Using solver 'mosek' Solving for 327 variables. Solving took 0.0205 seconds. Using solver 'mosek' Solving for 327 variables. Solving took 0.0207 seconds. Using solver 'mosek' Solving for 327 variables. Solving took 0.0198 seconds. Solving took 13 GP solves and 0.6 seconds. Cloning into 'SPaircraft'... DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting git+https://github.com/hoburg/turbofan.git Cloning https://github.com/hoburg/turbofan.git to /private/var/folders/xs/_fh4l1p54zqcl6mbk4zclcfr0000gp/T/pip-req-build-Le4WIn Running command git clone -q https://github.com/hoburg/turbofan.git /private/var/folders/xs/_fh4l1p54zqcl6mbk4zclcfr0000gp/T/pip-req-build-Le4WIn Requirement already satisfied (use --upgrade to upgrade): turbofan==0.0.0.0 from git+https://github.com/hoburg/turbofan.git in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages Requirement already satisfied: numpy in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from turbofan==0.0.0.0) (1.16.5) Requirement already satisfied: scipy in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from turbofan==0.0.0.0) (1.2.2) Requirement already satisfied: pint in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from turbofan==0.0.0.0) (0.9) Requirement already satisfied: future in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from turbofan==0.0.0.0) (0.17.1) Requirement already satisfied: funcsigs; python_version == "2.7" in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pint->turbofan==0.0.0.0) (1.0.2) Building wheels for collected packages: turbofan Building wheel for turbofan (setup.py): started Building wheel for turbofan (setup.py): finished with status 'done' Created wheel for turbofan: filename=turbofan-0.0.0.0-cp27-none-any.whl size=45142 sha256=65df66dde1c3e8afa82d0fa7345efa9302b94aa635282b98cbab7288000b7009 Stored in directory: /private/var/folders/xs/_fh4l1p54zqcl6mbk4zclcfr0000gp/T/pip-ephem-wheel-cache-dyakLt/wheels/49/e6/3a/5de0d21c0f148404ea8d883f76e050c82d4e9a0e6f59ce69a5 Successfully built turbofan DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Processing /Users/jenkins/workspace/gplibrary_Push_Models/mosek/SPaircraft Requirement already satisfied: turbofan in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from SPaircraft==0.0.0) (0.0.0.0) Requirement already satisfied: gpkit in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit (from SPaircraft==0.0.0) (0.9.1.0) Requirement already satisfied: pint in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from turbofan->SPaircraft==0.0.0) (0.9) Requirement already satisfied: future in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from turbofan->SPaircraft==0.0.0) (0.17.1) Requirement already satisfied: scipy in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from turbofan->SPaircraft==0.0.0) (1.2.2) Requirement already satisfied: numpy in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from turbofan->SPaircraft==0.0.0) (1.16.5) Requirement already satisfied: ad in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->SPaircraft==0.0.0) (1.3.2) Requirement already satisfied: cvxopt>=1.1.8 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->SPaircraft==0.0.0) (1.2.3) Requirement already satisfied: six in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->SPaircraft==0.0.0) (1.12.0) Requirement already satisfied: funcsigs; python_version == "2.7" in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pint->turbofan->SPaircraft==0.0.0) (1.0.2) Building wheels for collected packages: SPaircraft Building wheel for SPaircraft (setup.py): started Building wheel for SPaircraft (setup.py): finished with status 'done' Created wheel for SPaircraft: filename=SPaircraft-0.0.0-cp27-none-any.whl size=1833 sha256=fdaa03bbc78d8e737e196988d41ec122d5573ec2ecb7044aad3542090a38555c Stored in directory: /private/var/folders/xs/_fh4l1p54zqcl6mbk4zclcfr0000gp/T/pip-ephem-wheel-cache-wELp_l/wheels/71/26/9f/5657db356ce6e0d3f9591b290e0bbf5df5bca9ab5b75809f6a Successfully built SPaircraft Installing collected packages: SPaircraft Successfully installed SPaircraft-0.0.0 Running tests... ---------------------------------------------------------------------- adding test for 'SPaircraft.py' Mission ======= Cost ---- W_{f_{total}}[:].sum() Constraints ----------- W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin} PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:]) x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:]) x_{CG}[3] <= \Delta x_n + x_n \Delta x_m + x_{CG}[3] >= x_m \tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m C_{D_{fuse}}[:] = 0.018081 M_{fuseD} = 0.72 W_{start}[0] = W_{total}[:] W_{start}[:] >= W_{end}[:] + W_{burn}[:] W_{start}[1:] = W_{end}[:4] W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1] W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2] W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1] hft[2] >= CruiseAlt hft[1:5] = hft[:4] + dhft[1:5] hft[0] = dhft[0] dhft[1:3] = dhft[:2] RC[0] >= 2.5e+03 RC[:3] >= RC_{min}[:3] \theta[2] >= 0.015 hft[2] >= MinCruiseAlt n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:] R_{segment}[3:4] = R_{segment}[4:5] M[3:5] >= M_{min} 0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req} Fsafetyfac*F[0] = T_e W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:] V_2[:] = M_2[:]*a[:] \alpha_{max,w}[:3] = 0.18 \alpha_{max,w}[3:] = 0.1 0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime 0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime ClimbTime <= MaxClimbTime T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}} F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 OPR[:] <= OPR_{max} Aircraft Fuselage W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on} W_{pass}[:] >= n_{pass}[:]*W_{avg. pass} W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo} W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}} W_{payload}[:] <= W_{payload_{max}} n_{pass}[:] <= n_{seat} n_{rows} = n_{seat}/SPR l_{shell} = n_{rows}*p_s \theta_{db} = w_{db}/R_{fuse} R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db} A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db} (PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse} A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin} w_{floor} = w_{fuse} R_{fuse} + w_{db} >= w_{fuse} h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse} t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell} S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2 S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2 l_{fuse} = l_{nose} + l_{shell} + l_{cone} l_{cone} = R_{fuse}/\lambda_{cone} x_{shell1} = l_{nose} x_{shell2} >= l_{nose} + l_{shell} t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin} t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin} \sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell}) \sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin} l_{floor} >= l_{shell} + 2*R_{fuse} P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat}) A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor} V_{floor} = 2*w_{floor}*A_{floor} W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor} \tau_{cone} = \sigma_{skin} W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame}) x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone} -2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}} (PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}} x_{hbend_{Land}} >= x_{wing} x_{hbend_{Land}} <= l_{fuse} x_{hbend_{MLF}} >= x_{wing} x_{hbend_{MLF}} <= l_{fuse} A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}}) A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}}) A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h}) A_{2h_{MLF}} >= Mission.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h}) A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2) A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}} A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}} A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}} A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}} A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}} A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}} A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}} A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}} V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission.Aircraft.Fuselage.r_{w/c} V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission.Aircraft.Fuselage.r_{w/c} V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}} W_{hbend} >= g*\rho_{bend}*V_{hbend} x_{vbend} >= x_{wing} x_{vbend} <= l_{fuse} B_{0v} = B_{1v}*(x_{tail} - x_{vbend}) B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2) B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}} 0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}} V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission.Aircraft.Fuselage.r_{w/c} V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}} W_{vbend} >= \rho_{bend}*g*V_{vbend} x_f = x_{wing} + 0.5*c_0*Mission.Aircraft.Fuselage.r_{w/c} x_b = x_{wing} - 0.5*c_0*Mission.Aircraft.Fuselage.r_{w/c} \sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h} \sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v} V_{cyl} = A_{skin}*l_{shell} V_{nose} = S_{nose}*t_{skin} V_{bulk} = S_{bulk}*t_{skin} V_{db} = A_{db}*l_{shell} V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse}) W_{apu} = W_{payload_{max}}*f_{apu} W_{db} = \rho_{skin}*g*V_{db} W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk}) W_{window} >= W'_{window}*l_{shell} W_{padd} = W_{payload_{max}}*f_{padd} W_{seat} >= W'_{seat}*n_{seat} W_{seat} >= f_{seat}*W_{payload_{max}} W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk}) W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db} W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone}) Wing WingNoStruct A_{rect} = c_{tip}*b 0.5*(1 - \lambda)*c_{root}*b <= A_{tri} p >= 1 + 2*\lambda 2*q >= 1 + p y_{mac} = b/3*q/p mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q \lambda = c_{tip}/c_{root} S = b*(c_{root} + c_{tip})/2 0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w) e*(1 + f(\lambda_w)*AR) <= 1 \lambda >= 0.15 V_{fuel, max} <= 0.303*mac^2*b*\tau W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g b <= b_{max} WingBox AR = b^2/S 0.423*Mission.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5) \tau <= \tau_{max_w} W_{struct} >= W_{web} + W_{cap} AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= 8*\rho_{cap}*g*Mission.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5) Mission.Aircraft.Wing.WingBox.N_{lift} = 3 Mission.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8 \lambda = taper W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt}) 0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}} Engine Compressor (no constraints) Combustor (no constraints) Turbine (no constraints) Thrust (no constraints) FanMap (no constraints) LPCMap (no constraints) HPCMap (no constraints) Sizing A_{2} >= A_{5} + A_{7} FlightState V[:] = V[:] a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5 V[:] = M[:]*a[:] Altitude h[:] = hft[:] Atmosphere (P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:] \rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:]) T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:] \mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72) EnginePerformance CompressorPerformance T_{t_0}[:] = T_{atm}[:]/c1[:]^-1 h_{t_0}[:] = C_{p_{air}*T_{t_0}[:] P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:] T_{t_{1.8}}[:] = T_{t_0}[:] h_{t_{1.8}}[:] = h_{t_0}[:] P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5 T_{T_{2}}[:] = T_{t_{1.8}}[:] h_{T_{2}}[:] = h_{t_{1.8}}[:] P_{T_{2}}[:] = P_{t_{1.8}}[:] P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:] T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016 h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:] P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:] T_{t_7}[:] = T_{t_{2.1}}[:] h_{t_7}[:] = h_{t_{2.1}}[:] P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:] T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152 h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1} P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:] T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491 h_{t_3}[:] = C_{p_{2}*T_{t_3}[:] CombustorPerformance h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:] h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:] fp1[:] = f[:] + 1 M_{4a}[:] = 0.1025 fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5 T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]] P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891 u_{4a}[:] = M_{4a}[:]*(1.31*Mission.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a} u_c[:] = r_{uc}*u_{4a}[:] P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891 TurbinePerformance h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:] P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:] \pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565 h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:] P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:] T_{t_5}[:] = T_{t_{4.9}}[:] h_{t_5}[:] = h_{t_{4.9}}[:] ThrustPerformance P_{8}[:] = P_{atm}[:] h_{8}[:] = C_{p_{fex}*T_{8}[:] u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:] (P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:] h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:] P_{6}[:] = P_{atm}[:] (P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:] u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:] h_6[:] = C_{p_{tex}*T_{6}[:] h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:] \alpha[:] = m_{fan}[:]/m_{core}[:] \alpha_{+1}[:] = \alpha[:] + 1 \alpha[:] <= \alpha_{max} F[:] <= F_{6}[:] + F_{8}[:] F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:]) TSFC[:] = 1/I_{sp}[:] F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:] FanMapPerformance m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}} LPCMapPerformance m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D} HPCMapPerformance m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D} SizingPerformance P_{7}[:] >= P_{atm}[:] M_7[:] <= 1 a_{7}[:] = (1.4*Mission.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5 a_{7}[:]*M_7[:] = u_{7}[:] \rho_7[:] = P_{7}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{7}[:]) P_{5}[:] >= P_{atm}[:] M_5[:] <= 1 a_{5}[:] = (1.39*Mission.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5 a_{5}[:]*M_5[:] = u_{5}[:] \rho_5[:] = P_{5}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{5}[:]) h_{2}[:] = C_{p_{1}*T_{2}[:] \rho_{2}[:] = P_{2}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{2}[:]) u_{2}[:] = M_2[:]*(C_{p_{1}*Mission.Aircraft.Engine.EngineConstants.R*T_{2}[:]/781)^0.5 h_{2.5}[:] = C_{p_{2}*T_{2.5}[:] \rho_{2.5}[:] = P_{2.5}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]) u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/781)^0.5 m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine} d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5 d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5 \eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]]) h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:] P_{t_4}[:] = \pi_{b}*P_{t_3}[:] M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]] M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]]) P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:] \pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013 \pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10 \pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10 \pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10 m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref}) \pi_{f}[:] >= 1 \pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10 \pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10 \pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10 \pi_{lc}[:] >= 1 m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref}) \pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10 \pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10 \pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10 m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref}) \pi_{hc}[:] >= 1 OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:] P_{t_8}[:] = P_{t_7}[:] T_{t_8}[:] = T_{t_7}[:] P_{t_6}[:] = P_{t_5}[:] T_{t_6}[:] = T_{t_5}[:] F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:] I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g) N_{f}[:]*G_{f} = N_{1}[:] N_{1}[:] <= 1.1 N_{2}[:] <= 1.1 fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD} fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD} P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5 (T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2 P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979 (T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2 M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:] m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:] m_{total}[:] = m_{fan}[:] + m_{core}[:] P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512 T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1 m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2} P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857 T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1 m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5} 1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD} 0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD} 1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD} 0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD} m_{lc_D} >= 0.7*m_{coreD}/0.649 m_{lc_D} <= 1.3*m_{coreD}/0.649 m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23 m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23 \bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405 \bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405 F[:] = F_{spec}[:] T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}} OPR[:] <= OPR_{max} VerticalTail VerticalTailNoStruct C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}} L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}} c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt})) A_{vt} = b_{vt}^2/S_{vt} b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt} p_{vt} >= 1 + 2*\lambda_{vt} 2*q_{vt} >= 1 + p_{vt} y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt} z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt} 0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt} \lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}} \Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}} \Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt} \lambda_{vt} >= 0.25 V_{vt} >= V_{vt_{min}} WingBox AR_{vt} = (2*b_{vt})^2/(2*S_{vt}) 0.423*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5) \tau_{vt} <= 0.14 W_{struct} >= 0.5*(W_{web} + W_{cap}) Mission.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24 AR_{vt}*2*L_{vt_{max}}*Mission.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= 8*\rho_{cap}*g*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5) Mission.Aircraft.VerticalTail.WingBox.N_{lift} = 1 Mission.Aircraft.VerticalTail.WingBox.N_{lift}*Mission.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8 \lambda_{vt} = taper W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT}) HorizontalTail HorizontalTailNoStruct \Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht} \Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}} p_{ht} >= 1 + 2*\lambda_{ht} 2*q_{ht} >= 1 + p_{ht} y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht} 0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht} \lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}} S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2 0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht}) e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1 AR_{ht} = b_{ht}^2/S_{ht} \lambda_{ht} >= 0.2 \lambda_{ht} <= 1 WingBox AR_{ht} = b_{ht}^2/S_{ht} 0.423*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5) \tau_{ht} <= 0.14 W_{struct} >= W_{web} + W_{cap} L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2 L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht}) 2*AR_{ht}*L_{shear}*Mission.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5) Mission.Aircraft.HorizontalTail.WingBox.N_{lift} = 1 Mission.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8 L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht} L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}} W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht}) LandingGear l_n + z_{wing} + y_m*\tan(\gamma) >= l_m T = 2*y_m x_m >= x_n + B x_n >= 5 \tan(\phi) = \tan(\phi_{min}) (z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1 \tan(\psi) <= \tan(\psi_{max}) x_{up} - x_m <= l_m/\tan(\theta_{max}) y_m >= l_m S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG}) l_{oleo} = 2.5*S_{sa} d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5 l_m >= l_{oleo} + d_{t_m}/2 F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in]) W_{wa,m} = 1.2*F_{w_m}^0.609 F_{w_n} = L_{w_n}*d_{t_n}/1e+03 W_{wa,n} = 1.2*F_{w_n}^0.609 L_{w_m} = L_m/(n_{mg}*n_{wps}) L_{w_n} = L_n/n_{wps} d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315 w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48 d_{t_n} = 0.8*d_{t_m} w_{t_n} = 0.8*w_{t_m} W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m W_{mw} = n_{wps}*W_{wa,m} W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g \sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}}) W_{nw} >= n_{wps}*W_{wa,n} L_m <= 9.87*E*I_m/(K*l_m)^2 I_m = PI*r_m^3*t_m L_n <= 9.87*E*I_n/(K*l_n)^2 I_n = PI*r_n^3*t_n 2*r_m/t_m <= 40 2*r_m/t_n <= 40 h_{hold} >= 2*w_{t_m} + 2*r_m 0.8 >= 2*w_{t_n} + 2*r_n W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m})) W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n}) W_{lg} >= C_{lg}*(W_{mg} + W_{ng}) W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m x_m >= x_{CG_{lg}} c_{root} = c_0 Mission.Aircraft.Wing.WingBox.r_{w/c} = Mission.Aircraft.Fuselage.r_{w/c} x_w = x_{wing} Mission.Aircraft.Fuselage.N_{lift} = Mission.Aircraft.Wing.WingBox.N_{lift} f_{L_{total/wing}}*L_{max} >= Mission.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}} W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc} W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:] W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:] W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:] W_{total}[:] <= W_{total, max} f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}} W_{misc} >= W_{lg} + W_{hpesys} W_{hpesys} = f_{hpesys}*W_{total, max} x_n <= l_{nose} x_m >= x_{wing} \Delta x_{AC_{wing}} + x_{wing} >= x_m x_{hpesys} = 1.1*l_{nose} x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys} d_{nacelle} >= d_{f} + 2*t_{nacelle} E_{land} >= W_{total, max}/(2*g)*w_{ult}^2 x_{up} = x_{shell2} L_n = W_{total, max}*\Delta x_m/B L_m = W_{total, max}*\Delta x_n/B L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max} y_{eng} >= y_m 3*n_{vt}*Mission.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}} V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse} W_{tail} >= n_{vt}*W_{vt} + W_{ht} 2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db} B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v}) m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht} x_{CG_{ht}} <= l_{fuse} V_{ht} = S_{ht}*l_{ht}/(S*mac) L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}} L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}} x_{CG_{vt}} <= l_{fuse} V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b) n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max} n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng} D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}} I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:] I_{z}[:] <= I_{z, max} S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2 l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}} f_{S_{nacelle}} = S_{nacelle}*S^-1 A_{inlet} = 0.4*S_{nacelle} A_{fancowl} = 0.2*S_{nacelle} A_{exh} = 0.4*S_{nacelle} A_{corecowl} = 3PI*d_{LPC}^2 W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl}) W_{eadd} = f_{eadd}*W_{engine} W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon} W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine}) y_{eng} = 0.5*w_{fuse} (L_{max} - Mission.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission.Aircraft.Wing.WingBox.M_r*c_{root} A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend}) A_{1h_{MLF}} >= (Mission.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h}) I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16) I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81 I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81) x_{shell2} + l_{cone} >= x_{eng} x_{eng} >= x_{shell2} + 0.75*l_{cone} S_{floor} = 0.312*P_{floor} M_{floor} = 0.0352*P_{floor}*w_{floor} \Delta R_{fuse} = R_{fuse}*0.43/1.75 b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2 b_{ht_{out}} = 0.5*b_{ht} - w_{fuse} L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}} M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}} L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}} c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach} \pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht}) FlightSegment FlightState V[:] = V[:] a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5 V[:] = M[:]*a[:] Altitude h[:] = hft[:] Atmosphere (P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:] \rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:]) T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:] \mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72) FlightP P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:] RC[:] = P_{excess}[:]/W_{avg}[:] \theta[:]*V[:] = RC[:] dhft[:] = tmin[:]*RC[:] R_{segment}[:] = thr[:]*V[:] WingPerformance 0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:] \Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:] \Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2 (AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2 C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:] \alpha_w[:] <= \alpha_{max,w}[:] D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:] C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:] C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR) Re_w[:] = \rho[:]*V[:]*mac/\mu[:] C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114 FuselagePerformance (no constraints) VerticalTailPerformance D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:] Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:] C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577 HorizontalTailPerformance L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:] C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:] \alpha_{ht}[:] <= \alpha_{ht,max} C_{L_{\alpha,ht_0}}[:] = 6.28 D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:] C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht}) Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:] C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852 W_{burn}[:] = W_{burn}[:] F_{fuel}[:] = F_{fuel}[:] \rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:]) P_{cabin}[:] = 7.5e+04 T_{cabin}[:] = 297 V[:] >= V_{stall}[:] W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:] tmin[:] = thr[:] L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:] L_{total}[:] = f_{L_{total/wing}}*L_w[:] L_{total}[:] >= W_{avg}[:] + L_{ht}[:] D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2 D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:]) C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S) L/D[:] = W_{avg}[:]/D[:] W_{Load}[:] <= W_{Load_{max}}[:] W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S p_{o}[:] >= L_w[:]*c_{root}/S \eta_{o}[:] = w_{fuse}/(b/2) x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:] c_{m_{w}}[:] = 1.9 x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2) x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse} x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}} x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}} C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht} AR_{ht} >= 4 C_{L_{ht}}[:] >= 0.01 SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac SM[:] >= SM_{min} SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}} x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:] R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:] C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2 V_{nacelle}[:] = r_{v_{nacelle}}*V[:] V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]] r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0) C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0 D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S \Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}} M_2[:3] = M[:3] M_{2.5}[:3] = 0.6 hold_{2}[:3] = 1.07164 hold_{2.5}[:3] = 1.06372 P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:] c1[:] = 1 + 0.201*M[:]^2.0 M_2[3:] = M[3:] M_{2.5}[3:] = 0.6 hold_{2}[3:] = 1.07164 hold_{2.5}[3:] = 1.06372 Beginning signomial solve. Using solver 'mosek' Solving for 1748 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1749 Cones : 0 Scalar variables : 6101 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Freed constraints in eliminator : 472 Eliminator terminated. Eliminator started. Freed constraints in eliminator : 6 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1749 Cones : 0 Scalar variables : 6101 Matrix variables : 0 Integer variables : 0 Optimizer - threads : 8 Optimizer - solved problem : the primal Optimizer - Constraints : 867 Optimizer - Cones : 0 Optimizer - Scalar variables : 3449 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.02 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.48e+04 after factor : 1.48e+05 Factor - dense dim. : 0 flops : 2.91e+07 Factor - GP saved nzs : 3.33e+04 GP saved flops : 9.12e+05 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.6e+03 1.2e+05 0.00e+00 -1.240554640e+05 2.000000000e+00 1.0e+00 0.04 1 1.6e+03 2.5e+03 8.6e+04 -9.71e-01 -1.231748620e+05 2.768564203e+00 6.9e-01 0.05 2 8.3e+02 1.3e+03 4.5e+04 -9.57e-01 -1.207102576e+05 5.074539575e+00 3.6e-01 0.05 3 2.9e+02 4.6e+02 1.6e+04 -9.16e-01 -1.119695293e+05 2.152151786e+01 1.3e-01 0.06 4 2.9e+02 4.6e+02 1.6e+04 -7.71e-01 -1.100217009e+05 1.714527825e+03 1.3e-01 0.07 5 1.1e+02 1.8e+02 6.1e+03 -7.62e-01 -8.610790684e+04 6.695162483e+03 4.9e-02 0.08 6 3.8e+01 6.0e+01 2.0e+03 -4.15e-01 -4.645329796e+04 1.061030954e+04 1.7e-02 0.09 7 2.0e+01 3.2e+01 1.1e+03 2.49e-01 -2.881094530e+04 6.918992390e+03 8.9e-03 0.11 8 9.3e+00 1.5e+01 5.1e+02 5.72e-01 -1.414104026e+04 4.203941881e+03 4.1e-03 0.12 9 4.7e+00 7.4e+00 2.6e+02 8.28e-01 -7.062773964e+03 2.484854671e+03 2.1e-03 0.13 10 1.4e+00 2.2e+00 7.8e+01 9.34e-01 -2.018136909e+03 9.357817475e+02 6.3e-04 0.14 11 6.4e-01 1.0e+00 3.5e+01 9.94e-01 -6.982656505e+02 6.561046293e+02 2.9e-04 0.15 12 4.8e-01 7.6e-01 2.7e+01 9.96e-01 -4.637672981e+02 5.552260964e+02 2.2e-04 0.15 13 3.5e-01 7.8e-01 1.9e+01 9.80e-01 -2.759129050e+02 4.726371230e+02 1.6e-04 0.16 14 1.7e-01 3.9e-01 9.5e+00 9.96e-01 -5.042629419e+00 3.635650326e+02 7.9e-05 0.17 15 5.6e-02 1.6e-01 3.2e+00 9.94e-01 1.664733408e+02 2.896174723e+02 2.7e-05 0.18 16 3.2e-02 1.3e-01 1.9e+00 1.00e+00 2.020980643e+02 2.743670523e+02 1.6e-05 0.18 17 5.2e-03 1.8e-01 3.2e-01 1.00e+00 2.448158456e+02 2.572499035e+02 2.8e-06 0.19 18 1.5e-03 1.3e-01 9.5e-02 1.00e+00 2.510419816e+02 2.546930667e+02 8.5e-07 0.20 19 4.9e-04 1.1e-01 3.1e-02 1.00e+00 2.528147431e+02 2.540233778e+02 2.8e-07 0.20 20 2.1e-04 8.7e-02 1.4e-02 1.00e+00 2.533049609e+02 2.538348974e+02 1.2e-07 0.21 21 1.9e-04 7.9e-02 1.2e-02 1.00e+00 2.533443648e+02 2.538213184e+02 1.1e-07 0.22 22 1.7e-04 7.2e-02 1.1e-02 1.00e+00 2.533787262e+02 2.538079586e+02 1.0e-07 0.22 23 1.6e-04 6.6e-02 1.0e-02 1.00e+00 2.534096894e+02 2.537959814e+02 9.1e-08 0.23 24 1.4e-04 6.0e-02 9.1e-03 1.00e+00 2.534375306e+02 2.537851789e+02 8.2e-08 0.24 25 1.3e-04 5.4e-02 8.2e-03 1.00e+00 2.534625698e+02 2.537754412e+02 7.4e-08 0.25 26 1.1e-04 5.0e-02 7.3e-03 1.00e+00 2.534850882e+02 2.537666624e+02 6.6e-08 0.25 27 1.0e-04 4.6e-02 6.6e-03 1.00e+00 2.535053418e+02 2.537587504e+02 6.0e-08 0.26 28 9.2e-05 4.2e-02 5.9e-03 1.00e+00 2.535235593e+02 2.537516203e+02 5.4e-08 0.27 29 8.3e-05 3.8e-02 5.4e-03 1.00e+00 2.535399463e+02 2.537451957e+02 4.8e-08 0.28 30 7.4e-05 3.5e-02 4.8e-03 1.00e+00 2.535546874e+02 2.537394073e+02 4.4e-08 0.28 31 6.7e-05 3.2e-02 4.3e-03 1.00e+00 2.535679483e+02 2.537341927e+02 3.9e-08 0.29 32 6.0e-05 3.0e-02 3.9e-03 1.00e+00 2.535798780e+02 2.537294951e+02 3.5e-08 0.30 33 5.4e-05 2.8e-02 3.5e-03 1.00e+00 2.535906105e+02 2.537252636e+02 3.2e-08 0.31 34 4.9e-05 2.6e-02 3.2e-03 1.00e+00 2.536002661e+02 2.537214521e+02 2.9e-08 0.31 35 4.4e-05 2.4e-02 2.8e-03 1.00e+00 2.536089531e+02 2.537180190e+02 2.6e-08 0.32 36 4.0e-05 2.2e-02 2.6e-03 1.00e+00 2.536167687e+02 2.537149269e+02 2.3e-08 0.33 37 3.6e-05 2.1e-02 2.3e-03 1.00e+00 2.536238006e+02 2.537121421e+02 2.1e-08 0.34 38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536301274e+02 2.537096341e+02 1.9e-08 0.34 39 2.9e-05 1.8e-02 1.9e-03 1.00e+00 2.536358199e+02 2.537073754e+02 1.7e-08 0.35 40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536409418e+02 2.537053414e+02 1.5e-08 0.36 41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536455504e+02 2.537035098e+02 1.4e-08 0.36 42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536496972e+02 2.537018604e+02 1.2e-08 0.37 43 1.9e-05 1.5e-02 1.2e-03 1.00e+00 2.536534285e+02 2.537003753e+02 1.1e-08 0.38 44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536567861e+02 2.536990381e+02 1.0e-08 0.39 45 1.5e-05 1.3e-02 9.9e-04 1.00e+00 2.536598074e+02 2.536978341e+02 9.0e-09 0.39 46 1.4e-05 1.3e-02 8.9e-04 1.00e+00 2.536625261e+02 2.536967502e+02 8.1e-09 0.40 47 1.2e-05 1.2e-02 8.0e-04 1.00e+00 2.536649726e+02 2.536957743e+02 7.3e-09 0.41 48 1.1e-05 1.2e-02 7.2e-04 1.00e+00 2.536671742e+02 2.536948957e+02 6.5e-09 0.41 49 1.0e-05 1.1e-02 6.5e-04 1.00e+00 2.536691554e+02 2.536941047e+02 5.9e-09 0.42 50 9.0e-06 1.1e-02 5.9e-04 1.00e+00 2.536709383e+02 2.536933927e+02 5.3e-09 0.43 51 8.1e-06 1.1e-02 5.3e-04 1.00e+00 2.536725427e+02 2.536927517e+02 4.8e-09 0.43 52 7.3e-06 1.0e-02 4.7e-04 1.00e+00 2.536739866e+02 2.536921747e+02 4.3e-09 0.44 53 6.6e-06 1.0e-02 4.3e-04 1.00e+00 2.536752860e+02 2.536916553e+02 3.9e-09 0.45 54 5.9e-06 9.8e-03 3.8e-04 1.00e+00 2.536764553e+02 2.536911878e+02 3.5e-09 0.46 55 5.3e-06 9.6e-03 3.5e-04 1.00e+00 2.536775077e+02 2.536907669e+02 3.1e-09 0.46 56 4.8e-06 9.4e-03 3.1e-04 1.00e+00 2.536784547e+02 2.536903881e+02 2.8e-09 0.47 57 4.3e-06 9.2e-03 2.8e-04 1.00e+00 2.536793070e+02 2.536900470e+02 2.5e-09 0.48 58 3.9e-06 9.0e-03 2.5e-04 1.00e+00 2.536800740e+02 2.536897401e+02 2.3e-09 0.49 59 3.5e-06 8.9e-03 2.3e-04 1.00e+00 2.536807643e+02 2.536894637e+02 2.1e-09 0.49 60 3.2e-06 8.7e-03 2.0e-04 1.00e+00 2.536813855e+02 2.536892150e+02 1.8e-09 0.50 61 1.2e-06 3.4e-03 7.9e-05 1.00e+00 2.536848025e+02 2.536878456e+02 7.2e-10 0.51 62 1.1e-06 3.0e-03 7.1e-05 1.00e+00 2.536850202e+02 2.536877590e+02 6.5e-10 0.52 63 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862733e+02 2.536872564e+02 2.3e-10 0.53 64 3.6e-07 9.8e-04 2.3e-05 1.00e+00 2.536863436e+02 2.536872284e+02 2.1e-10 0.53 65 3.2e-07 8.9e-04 2.1e-05 1.00e+00 2.536864067e+02 2.536872030e+02 1.9e-10 0.54 66 2.9e-07 8.0e-04 1.9e-05 1.00e+00 2.536864635e+02 2.536871802e+02 1.7e-10 0.55 67 2.6e-07 7.2e-04 1.7e-05 1.00e+00 2.536865146e+02 2.536871596e+02 1.5e-10 0.56 68 2.3e-07 6.5e-04 1.5e-05 1.00e+00 2.536865606e+02 2.536871412e+02 1.4e-10 0.57 69 2.1e-07 5.8e-04 1.4e-05 1.00e+00 2.536866020e+02 2.536871245e+02 1.2e-10 0.57 70 1.9e-07 5.2e-04 1.2e-05 1.00e+00 2.536866393e+02 2.536871096e+02 1.1e-10 0.59 71 1.7e-07 4.7e-04 1.1e-05 1.00e+00 2.536866729e+02 2.536870961e+02 1.0e-10 0.60 72 1.5e-07 4.2e-04 9.9e-06 1.00e+00 2.536867031e+02 2.536870839e+02 9.0e-11 0.60 73 1.4e-07 3.8e-04 8.9e-06 1.00e+00 2.536867302e+02 2.536870730e+02 8.1e-11 0.61 74 1.2e-07 3.4e-04 8.1e-06 1.00e+00 2.536867547e+02 2.536870632e+02 7.3e-11 0.62 75 1.1e-07 3.1e-04 7.2e-06 1.00e+00 2.536867767e+02 2.536870544e+02 6.6e-11 0.62 76 1.0e-07 2.8e-04 6.5e-06 1.00e+00 2.536867965e+02 2.536870464e+02 5.9e-11 0.63 77 9.0e-08 2.5e-04 5.9e-06 1.00e+00 2.536868143e+02 2.536870392e+02 5.3e-11 0.64 78 8.1e-08 2.3e-04 5.3e-06 1.00e+00 2.536868303e+02 2.536870328e+02 4.8e-11 0.64 79 7.3e-08 2.0e-04 4.8e-06 1.00e+00 2.536868448e+02 2.536870270e+02 4.3e-11 0.65 80 6.6e-08 1.8e-04 4.3e-06 1.00e+00 2.536868578e+02 2.536870217e+02 3.9e-11 0.66 81 5.9e-08 1.6e-04 3.9e-06 1.00e+00 2.536868695e+02 2.536870170e+02 3.5e-11 0.66 82 5.3e-08 1.5e-04 3.5e-06 1.00e+00 2.536868800e+02 2.536870128e+02 3.1e-11 0.67 83 4.8e-08 1.3e-04 3.1e-06 1.00e+00 2.536868894e+02 2.536870090e+02 2.8e-11 0.68 84 4.3e-08 1.2e-04 2.8e-06 1.00e+00 2.536868980e+02 2.536870056e+02 2.5e-11 0.68 85 3.9e-08 1.1e-04 2.5e-06 1.00e+00 2.536869056e+02 2.536870025e+02 2.3e-11 0.69 86 3.5e-08 9.7e-05 2.3e-06 1.00e+00 2.536869125e+02 2.536869997e+02 2.1e-11 0.70 87 3.1e-08 8.7e-05 2.0e-06 1.00e+00 2.536869188e+02 2.536869972e+02 1.9e-11 0.71 88 2.8e-08 7.8e-05 1.8e-06 1.00e+00 2.536869243e+02 2.536869949e+02 1.7e-11 0.71 89 2.6e-08 7.1e-05 1.7e-06 1.00e+00 2.536869294e+02 2.536869929e+02 1.5e-11 0.72 90 2.3e-08 6.4e-05 1.5e-06 1.00e+00 2.536869339e+02 2.536869911e+02 1.3e-11 0.73 91 2.1e-08 5.7e-05 1.3e-06 1.00e+00 2.536869380e+02 2.536869894e+02 1.2e-11 0.74 92 1.9e-08 5.1e-05 1.2e-06 9.99e-01 2.536869416e+02 2.536869880e+02 1.1e-11 0.74 93 1.7e-08 4.6e-05 1.1e-06 1.00e+00 2.536869449e+02 2.536869866e+02 9.8e-12 0.75 94 1.5e-08 4.2e-05 9.8e-07 1.00e+00 2.536869479e+02 2.536869854e+02 8.9e-12 0.76 95 1.4e-08 3.8e-05 8.8e-07 1.00e+00 2.536869506e+02 2.536869843e+02 8.0e-12 0.76 96 1.2e-08 3.4e-05 7.9e-07 1.00e+00 2.536869530e+02 2.536869834e+02 7.2e-12 0.77 Optimizer terminated. Time: 0.77 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 2.5368695299e+02 nrm: 4e+01 Viol. con: 2e-07 var: 0e+00 Dual. obj: 2.5368698338e+02 nrm: 8e+02 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 0.799 seconds. Using solver 'mosek' Solving for 1748 variables. MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1749 Cones : 0 Scalar variables : 6101 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Freed constraints in eliminator : 472 Eliminator terminated. Eliminator started. Freed constraints in eliminator : 6 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1749 Cones : 0 Scalar variables : 6101 Matrix variables : 0 Integer variables : 0 Optimizer - threads : 8 Optimizer - solved problem : the primal Optimizer - Constraints : 868 Optimizer - Cones : 0 Optimizer - Scalar variables : 3451 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.02 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.01 Factor - nonzeros before factor : 1.48e+04 after factor : 1.48e+05 Factor - dense dim. : 0 flops : 2.93e+07 Factor - GP saved nzs : 3.33e+04 GP saved flops : 9.12e+05 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.6e+03 1.2e+05 0.00e+00 -1.237120597e+05 2.000000000e+00 1.0e+00 0.03 1 1.6e+03 2.5e+03 8.6e+04 -9.71e-01 -1.228589965e+05 2.751831010e+00 7.0e-01 0.04 2 7.9e+02 1.2e+03 4.3e+04 -9.57e-01 -1.201055617e+05 5.326974937e+00 3.5e-01 0.05 3 3.0e+02 4.7e+02 1.6e+04 -9.12e-01 -1.116972905e+05 2.210725287e+01 1.3e-01 0.05 4 2.9e+02 4.7e+02 1.6e+04 -7.71e-01 -1.098007288e+05 1.669805666e+03 1.3e-01 0.06 5 1.2e+02 2.0e+02 6.8e+03 -7.63e-01 -8.914530211e+04 6.028487627e+03 5.5e-02 0.07 6 3.9e+01 6.2e+01 2.1e+03 -4.65e-01 -4.731075280e+04 1.101859429e+04 1.7e-02 0.07 7 2.3e+01 3.6e+01 1.2e+03 2.31e-01 -3.188986622e+04 7.305151537e+03 1.0e-02 0.08 8 9.1e+00 1.4e+01 4.9e+02 5.19e-01 -1.390726678e+04 3.970193410e+03 4.0e-03 0.09 9 6.1e+00 9.6e+00 3.3e+02 8.31e-01 -9.268556419e+03 2.859448056e+03 2.7e-03 0.10 10 2.1e+00 3.3e+00 1.2e+02 9.02e-01 -3.163867678e+03 1.208066659e+03 9.4e-04 0.10 11 1.5e+00 2.4e+00 8.2e+01 9.76e-01 -2.158354396e+03 9.713866924e+02 6.7e-04 0.11 12 8.2e-01 1.4e+00 4.5e+01 9.80e-01 -1.092111068e+03 6.286525202e+02 3.7e-04 0.12 13 4.2e-01 8.1e-01 2.3e+01 9.88e-01 -4.661197429e+02 4.147126547e+02 1.9e-04 0.13 14 2.0e-01 3.9e-01 1.1e+01 1.00e+00 -1.249220987e+02 2.924420143e+02 9.0e-05 0.13 15 7.1e-02 1.6e-01 4.0e+00 1.00e+00 6.301524973e+01 2.167838530e+02 3.4e-05 0.14 16 2.8e-02 1.2e-01 1.6e+00 1.01e+00 1.288290682e+02 1.894676038e+02 1.3e-05 0.15 17 9.0e-03 1.1e-01 5.3e-01 1.01e+00 1.578773200e+02 1.781360078e+02 4.6e-06 0.16 18 3.5e-03 9.5e-02 2.1e-01 1.00e+00 1.667254586e+02 1.745981914e+02 1.8e-06 0.16 19 8.9e-04 1.2e-01 5.5e-02 9.96e-01 1.708742732e+02 1.729794156e+02 4.9e-07 0.17 20 3.2e-04 9.8e-02 2.0e-02 9.84e-01 1.718440948e+02 1.726232491e+02 1.8e-07 0.18 21 1.3e-04 9.3e-02 8.1e-03 9.96e-01 1.721840324e+02 1.724937389e+02 7.2e-08 0.18 22 4.6e-05 9.0e-02 3.0e-03 9.80e-01 1.723224558e+02 1.724367754e+02 2.7e-08 0.19 23 4.2e-05 8.8e-02 2.7e-03 9.92e-01 1.723310420e+02 1.724347821e+02 2.4e-08 0.20 24 4.1e-05 8.5e-02 2.6e-03 9.83e-01 1.723333827e+02 1.724335011e+02 2.3e-08 0.21 25 3.0e-05 8.4e-02 2.0e-03 9.27e-01 1.723515646e+02 1.724203243e+02 1.7e-08 0.22 26 1.2e-05 6.4e-02 8.3e-04 5.08e-01 1.723804253e+02 1.724123065e+02 7.6e-09 0.22 27 1.1e-05 5.8e-02 7.7e-04 8.67e-01 1.723842833e+02 1.724130215e+02 7.0e-09 0.23 28 1.0e-05 5.5e-02 7.0e-04 1.00e+00 1.723862088e+02 1.724122141e+02 6.4e-09 0.24 29 9.1e-06 5.0e-02 6.3e-04 1.00e+00 1.723880259e+02 1.724114281e+02 5.7e-09 0.25 30 8.2e-06 4.6e-02 5.7e-04 1.00e+00 1.723896607e+02 1.724107219e+02 5.2e-09 0.26 31 7.4e-06 4.2e-02 5.1e-04 1.00e+00 1.723911307e+02 1.724100853e+02 4.7e-09 0.26 32 6.7e-06 3.9e-02 4.6e-04 1.00e+00 1.723924532e+02 1.724095118e+02 4.2e-09 0.28 33 6.0e-06 3.5e-02 4.1e-04 1.00e+00 1.723936429e+02 1.724089953e+02 3.8e-09 0.29 34 5.4e-06 3.3e-02 3.7e-04 1.00e+00 1.723947132e+02 1.724085300e+02 3.4e-09 0.30 35 4.9e-06 3.0e-02 3.4e-04 1.00e+00 1.723956761e+02 1.724081109e+02 3.1e-09 0.31 36 4.4e-06 2.8e-02 3.0e-04 1.00e+00 1.723965424e+02 1.724077335e+02 2.7e-09 0.31 37 3.9e-06 2.6e-02 2.7e-04 1.00e+00 1.723973218e+02 1.724073936e+02 2.5e-09 0.32 38 3.5e-06 2.4e-02 2.4e-04 1.00e+00 1.723980230e+02 1.724070875e+02 2.2e-09 0.33 39 3.2e-06 2.2e-02 2.2e-04 1.00e+00 1.723986539e+02 1.724068118e+02 2.0e-09 0.33 40 2.9e-06 2.1e-02 2.0e-04 1.00e+00 1.723992216e+02 1.724065636e+02 1.8e-09 0.34 41 2.6e-06 2.0e-02 1.8e-04 1.00e+00 1.723997324e+02 1.724063401e+02 1.6e-09 0.35 42 2.3e-06 1.8e-02 1.6e-04 1.00e+00 1.724001920e+02 1.724061388e+02 1.5e-09 0.36 43 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.724006056e+02 1.724059576e+02 1.3e-09 0.36 44 1.9e-06 1.6e-02 1.3e-04 1.00e+00 1.724009777e+02 1.724057945e+02 1.2e-09 0.37 45 1.7e-06 1.6e-02 1.2e-04 1.00e+00 1.724013125e+02 1.724056476e+02 1.1e-09 0.38 46 1.5e-06 1.5e-02 1.1e-04 1.00e+00 1.724016138e+02 1.724055153e+02 9.6e-10 0.38 47 1.4e-06 1.4e-02 9.5e-05 1.00e+00 1.724018849e+02 1.724053962e+02 8.6e-10 0.39 48 1.2e-06 1.3e-02 8.5e-05 1.00e+00 1.724021289e+02 1.724052890e+02 7.8e-10 0.40 49 1.1e-06 1.3e-02 7.7e-05 1.00e+00 1.724023484e+02 1.724051925e+02 7.0e-10 0.40 50 1.0e-06 1.2e-02 6.9e-05 1.00e+00 1.724025459e+02 1.724051056e+02 6.3e-10 0.41 51 9.0e-07 1.2e-02 6.2e-05 1.00e+00 1.724027237e+02 1.724050274e+02 5.7e-10 0.42 52 8.1e-07 1.1e-02 5.6e-05 1.00e+00 1.724028836e+02 1.724049570e+02 5.1e-10 0.43 53 7.3e-07 1.1e-02 5.0e-05 1.00e+00 1.724030276e+02 1.724048936e+02 4.6e-10 0.43 54 6.6e-07 1.1e-02 4.5e-05 1.00e+00 1.724031571e+02 1.724048365e+02 4.1e-10 0.44 55 5.9e-07 1.0e-02 4.1e-05 1.00e+00 1.724032737e+02 1.724047851e+02 3.7e-10 0.45 56 5.3e-07 1.0e-02 3.7e-05 1.00e+00 1.724033785e+02 1.724047388e+02 3.3e-10 0.45 57 4.8e-07 9.9e-03 3.3e-05 1.00e+00 1.724034729e+02 1.724046972e+02 3.0e-10 0.46 58 4.3e-07 9.7e-03 3.0e-05 1.00e+00 1.724035579e+02 1.724046597e+02 2.7e-10 0.47 59 3.9e-07 9.5e-03 2.7e-05 1.00e+00 1.724036343e+02 1.724046259e+02 2.4e-10 0.48 60 3.5e-07 9.3e-03 2.4e-05 1.00e+00 1.724037031e+02 1.724045956e+02 2.2e-10 0.48 61 3.1e-07 9.2e-03 2.2e-05 1.00e+00 1.724037650e+02 1.724045682e+02 2.0e-10 0.49 62 2.8e-07 9.0e-03 1.9e-05 1.00e+00 1.724038206e+02 1.724045436e+02 1.8e-10 0.50 63 2.5e-07 8.9e-03 1.8e-05 1.00e+00 1.724038708e+02 1.724045214e+02 1.6e-10 0.50 64 2.3e-07 8.7e-03 1.6e-05 1.00e+00 1.724039159e+02 1.724045014e+02 1.4e-10 0.51 65 2.1e-07 8.6e-03 1.4e-05 9.99e-01 1.724039565e+02 1.724044834e+02 1.3e-10 0.52 66 1.9e-07 8.5e-03 1.3e-05 1.00e+00 1.724039930e+02 1.724044673e+02 1.2e-10 0.52 67 1.7e-07 8.4e-03 1.2e-05 1.00e+00 1.724040259e+02 1.724044527e+02 1.0e-10 0.53 68 1.5e-07 8.4e-03 1.0e-05 9.97e-01 1.724040554e+02 1.724044396e+02 9.4e-11 0.54 69 1.4e-07 8.3e-03 9.3e-06 1.00e+00 1.724040820e+02 1.724044278e+02 8.5e-11 0.54 70 1.2e-07 8.2e-03 8.4e-06 9.99e-01 1.724041060e+02 1.724044171e+02 7.7e-11 0.55 71 1.1e-07 8.1e-03 7.6e-06 9.98e-01 1.724041276e+02 1.724044076e+02 6.9e-11 0.56 72 9.9e-08 8.1e-03 6.8e-06 1.00e+00 1.724041470e+02 1.724043989e+02 6.2e-11 0.56 73 8.9e-08 8.0e-03 6.1e-06 9.99e-01 1.724041644e+02 1.724043912e+02 5.6e-11 0.57 74 8.0e-08 7.2e-03 5.5e-06 1.01e+00 1.724041806e+02 1.724043840e+02 5.0e-11 0.58 75 7.2e-08 6.5e-03 5.0e-06 1.00e+00 1.724041947e+02 1.724043777e+02 4.5e-11 0.59 76 6.5e-08 5.9e-03 4.5e-06 9.99e-01 1.724042074e+02 1.724043721e+02 4.1e-11 0.59 77 5.8e-08 5.3e-03 4.0e-06 9.93e-01 1.724042188e+02 1.724043672e+02 3.7e-11 0.60 78 5.3e-08 4.8e-03 3.6e-06 1.00e+00 1.724042291e+02 1.724043626e+02 3.3e-11 0.61 79 4.8e-08 4.3e-03 3.3e-06 9.90e-01 1.724042383e+02 1.724043586e+02 3.0e-11 0.61 80 4.3e-08 3.8e-03 2.9e-06 1.03e+00 1.724042478e+02 1.724043542e+02 2.7e-11 0.62 81 3.8e-08 3.5e-03 2.6e-06 9.79e-01 1.724042552e+02 1.724043509e+02 2.4e-11 0.63 82 3.4e-08 3.1e-03 2.4e-06 1.02e+00 1.724042624e+02 1.724043476e+02 2.2e-11 0.63 83 3.1e-08 2.8e-03 2.1e-06 1.03e+00 1.724042690e+02 1.724043446e+02 2.0e-11 0.64 84 2.8e-08 2.5e-03 1.9e-06 9.12e-01 1.724042743e+02 1.724043422e+02 1.8e-11 0.65 85 4.5e-08 2.3e-03 1.7e-06 1.19e+00 1.724042829e+02 1.724043382e+02 1.8e-11 0.66 86 3.7e-08 2.0e-03 1.6e-06 1.04e+00 1.724042873e+02 1.724043365e+02 1.7e-11 0.68 87 2.2e-08 4.8e-04 3.7e-07 1.05e+00 1.724043138e+02 1.724043253e+02 4.2e-12 0.69 88 4.1e-08 2.2e-04 1.6e-07 2.36e-01 1.724043176e+02 1.724043220e+02 1.3e-12 0.70 89 2.9e-08 1.9e-04 1.5e-07 1.99e+00 1.724043178e+02 1.724043221e+02 1.2e-12 0.71 90 2.8e-08 1.7e-04 1.3e-07 8.57e-01 1.724043184e+02 1.724043219e+02 1.0e-12 0.72 91 3.0e-08 1.5e-04 1.1e-07 1.29e+00 1.724043178e+02 1.724043232e+02 8.8e-13 0.73 Optimizer terminated. Time: 0.74 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.7240431778e+02 nrm: 4e+01 Viol. con: 9e-07 var: 0e+00 Dual. obj: 1.7240432322e+02 nrm: 8e+02 Viol. con: 0e+00 var: 1e-03 * End solution on dual form. * Transforming to primal solution. Solving took 0.761 seconds. Using solver 'mosek' Solving for 1748 variables. MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1749 Cones : 0 Scalar variables : 6101 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Freed constraints in eliminator : 472 Eliminator terminated. Eliminator started. Freed constraints in eliminator : 6 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1749 Cones : 0 Scalar variables : 6101 Matrix variables : 0 Integer variables : 0 Optimizer - threads : 8 Optimizer - solved problem : the primal Optimizer - Constraints : 868 Optimizer - Cones : 0 Optimizer - Scalar variables : 3451 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.02 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.48e+04 after factor : 1.48e+05 Factor - dense dim. : 0 flops : 2.93e+07 Factor - GP saved nzs : 3.33e+04 GP saved flops : 9.12e+05 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.6e+03 1.2e+05 0.00e+00 -1.238236350e+05 2.000000000e+00 1.0e+00 0.04 1 1.6e+03 2.6e+03 8.9e+04 -9.71e-01 -1.230656737e+05 2.647019465e+00 7.2e-01 0.05 2 8.5e+02 1.3e+03 4.6e+04 -9.59e-01 -1.206096807e+05 4.826231613e+00 3.7e-01 0.05 3 2.9e+02 4.6e+02 1.6e+04 -9.19e-01 -1.118497077e+05 2.029621091e+01 1.3e-01 0.06 4 2.9e+02 4.6e+02 1.6e+04 -7.73e-01 -1.097490525e+05 1.850586108e+03 1.3e-01 0.07 5 1.2e+02 2.0e+02 6.7e+03 -7.63e-01 -8.916030429e+04 6.085082524e+03 5.5e-02 0.08 6 4.4e+01 6.9e+01 2.4e+03 -4.64e-01 -5.177804334e+04 1.031145337e+04 1.9e-02 0.09 7 2.6e+01 4.1e+01 1.4e+03 1.59e-01 -3.543323189e+04 7.187062739e+03 1.1e-02 0.10 8 1.3e+01 2.0e+01 6.9e+02 4.65e-01 -1.929026185e+04 4.600188328e+03 5.6e-03 0.11 9 4.5e+00 7.1e+00 2.4e+02 7.44e-01 -6.918526178e+03 2.202933527e+03 2.0e-03 0.12 10 3.2e+00 5.1e+00 1.8e+02 9.39e-01 -4.934163409e+03 1.735951750e+03 1.5e-03 0.13 11 1.1e+00 1.7e+00 6.0e+01 9.62e-01 -1.562948083e+03 7.020582355e+02 4.9e-04 0.13 12 8.7e-01 1.4e+00 4.8e+01 9.87e-01 -1.217636151e+03 6.233488377e+02 3.9e-04 0.14 13 7.0e-01 1.2e+00 3.9e+01 9.68e-01 -9.661564015e+02 5.337666482e+02 3.2e-04 0.15 14 3.7e-01 6.1e-01 2.0e+01 9.89e-01 -3.985115606e+02 3.850483742e+02 1.7e-04 0.16 15 1.9e-01 3.2e-01 1.1e+01 9.96e-01 -1.412662595e+02 2.691767565e+02 8.8e-05 0.16 16 8.6e-02 1.7e-01 4.8e+00 1.00e+00 1.778207455e+01 2.044312768e+02 4.0e-05 0.17 17 7.8e-02 1.6e-01 4.4e+00 1.01e+00 3.927330071e+01 2.075518436e+02 3.6e-05 0.18 18 3.1e-02 9.1e-02 1.7e+00 1.01e+00 1.160421338e+02 1.824337014e+02 1.4e-05 0.18 19 1.4e-02 1.2e-01 7.7e-01 1.02e+00 1.451390072e+02 1.745459003e+02 6.4e-06 0.19 20 6.5e-03 4.2e-01 3.7e-01 1.01e+00 1.561700198e+02 1.702886893e+02 3.1e-06 0.20 21 2.1e-03 1.6e-01 1.3e-01 1.01e+00 1.635809429e+02 1.683332990e+02 1.1e-06 0.21 22 1.7e-03 1.3e-01 9.8e-02 1.01e+00 1.644225804e+02 1.681013974e+02 8.2e-07 0.21 23 6.6e-04 9.4e-02 4.0e-02 1.01e+00 1.660456798e+02 1.675261264e+02 3.4e-07 0.22 24 4.1e-04 7.6e-02 2.4e-02 1.01e+00 1.664525288e+02 1.673655646e+02 2.1e-07 0.23 25 3.7e-04 7.0e-02 2.2e-02 1.01e+00 1.665206591e+02 1.673421416e+02 1.9e-07 0.24 26 3.3e-04 6.3e-02 2.0e-02 1.01e+00 1.665794090e+02 1.673184976e+02 1.7e-07 0.24 27 3.0e-04 5.8e-02 1.8e-02 1.01e+00 1.666325754e+02 1.672975734e+02 1.5e-07 0.25 28 2.7e-04 5.3e-02 1.6e-02 1.01e+00 1.666802184e+02 1.672785665e+02 1.4e-07 0.26 29 2.4e-04 4.8e-02 1.4e-02 1.01e+00 1.667229548e+02 1.672613467e+02 1.2e-07 0.27 30 2.2e-04 4.4e-02 1.3e-02 1.01e+00 1.667612707e+02 1.672457248e+02 1.1e-07 0.28 31 1.9e-04 4.1e-02 1.2e-02 1.01e+00 1.667956243e+02 1.672315526e+02 1.0e-07 0.29 32 1.8e-04 3.7e-02 1.1e-02 1.01e+00 1.668264232e+02 1.672186933e+02 9.0e-08 0.29 33 1.6e-04 3.4e-02 9.5e-03 1.01e+00 1.668540348e+02 1.672070251e+02 8.1e-08 0.30 34 1.4e-04 3.2e-02 8.5e-03 1.00e+00 1.668787897e+02 1.671964382e+02 7.3e-08 0.31 35 1.3e-04 2.9e-02 7.7e-03 1.00e+00 1.669009849e+02 1.671868358e+02 6.6e-08 0.32 36 1.2e-04 2.7e-02 6.9e-03 1.00e+00 1.669208870e+02 1.671781271e+02 5.9e-08 0.33 37 1.0e-04 2.5e-02 6.2e-03 1.00e+00 1.669387360e+02 1.671702309e+02 5.3e-08 0.34 38 9.3e-05 2.3e-02 5.6e-03 1.00e+00 1.669547475e+02 1.671630747e+02 4.8e-08 0.35 39 8.4e-05 2.2e-02 5.0e-03 1.00e+00 1.669691132e+02 1.671565940e+02 4.3e-08 0.36 40 7.5e-05 2.0e-02 4.5e-03 1.00e+00 1.669820037e+02 1.671507256e+02 3.9e-08 0.37 41 6.8e-05 1.9e-02 4.1e-03 1.00e+00 1.669935725e+02 1.671454125e+02 3.5e-08 0.38 42 6.1e-05 1.8e-02 3.7e-03 1.00e+00 1.670039573e+02 1.671406082e+02 3.1e-08 0.39 43 5.5e-05 1.7e-02 3.3e-03 1.00e+00 1.670132789e+02 1.671362608e+02 2.8e-08 0.40 44 5.0e-05 1.6e-02 3.0e-03 1.00e+00 1.670216485e+02 1.671323292e+02 2.5e-08 0.41 45 4.5e-05 1.5e-02 2.7e-03 1.00e+00 1.670291639e+02 1.671287745e+02 2.3e-08 0.42 46 4.0e-05 1.5e-02 2.4e-03 1.00e+00 1.670359132e+02 1.671255600e+02 2.1e-08 0.43 47 3.6e-05 1.4e-02 2.2e-03 1.00e+00 1.670419753e+02 1.671226558e+02 1.9e-08 0.44 48 3.2e-05 1.3e-02 2.0e-03 1.00e+00 1.670474206e+02 1.671200297e+02 1.7e-08 0.45 49 2.9e-05 1.3e-02 1.8e-03 1.00e+00 1.670523127e+02 1.671176570e+02 1.5e-08 0.46 50 2.6e-05 1.2e-02 1.6e-03 1.00e+00 1.670567081e+02 1.671155162e+02 1.4e-08 0.47 51 2.4e-05 1.2e-02 1.4e-03 1.00e+00 1.670606568e+02 1.671135837e+02 1.2e-08 0.47 52 2.1e-05 1.2e-02 1.3e-03 1.00e+00 1.670642048e+02 1.671118395e+02 1.1e-08 0.48 53 1.9e-05 1.1e-02 1.2e-03 1.00e+00 1.670673932e+02 1.671102652e+02 9.9e-09 0.49 54 1.7e-05 1.1e-02 1.0e-03 1.00e+00 1.670702588e+02 1.671088431e+02 8.9e-09 0.49 55 1.6e-05 1.1e-02 9.4e-04 1.00e+00 1.670728345e+02 1.671075617e+02 8.0e-09 0.50 56 1.4e-05 1.1e-02 8.4e-04 1.00e+00 1.670751497e+02 1.671064039e+02 7.2e-09 0.51 57 1.3e-05 1.0e-02 7.6e-04 1.00e+00 1.670772310e+02 1.671053606e+02 6.5e-09 0.52 58 1.1e-05 1.0e-02 6.8e-04 1.00e+00 1.670791022e+02 1.671044185e+02 5.8e-09 0.53 59 1.0e-05 1.0e-02 6.1e-04 1.00e+00 1.670807846e+02 1.671035703e+02 5.2e-09 0.53 60 9.2e-06 9.8e-03 5.5e-04 1.00e+00 1.670822972e+02 1.671028046e+02 4.7e-09 0.54 61 8.3e-06 9.6e-03 5.0e-04 1.00e+00 1.670836577e+02 1.671021134e+02 4.3e-09 0.55 62 7.4e-06 9.5e-03 4.5e-04 1.00e+00 1.670848812e+02 1.671014903e+02 3.8e-09 0.56 63 6.7e-06 9.4e-03 4.0e-04 1.00e+00 1.670859815e+02 1.671009293e+02 3.4e-09 0.57 64 6.0e-06 9.3e-03 3.6e-04 1.00e+00 1.670869709e+02 1.671004242e+02 3.1e-09 0.58 65 5.4e-06 9.2e-03 3.3e-04 9.99e-01 1.670878607e+02 1.670999696e+02 2.8e-09 0.59 66 2.1e-06 3.5e-03 1.3e-04 1.00e+00 1.670927599e+02 1.670974336e+02 1.1e-09 0.60 67 8.4e-07 1.4e-03 5.1e-05 1.00e+00 1.670945910e+02 1.670964807e+02 4.3e-10 0.61 68 7.6e-07 1.3e-03 4.6e-05 9.76e-01 1.670947193e+02 1.670964216e+02 3.9e-10 0.62 69 6.8e-07 1.2e-03 4.1e-05 9.78e-01 1.670948304e+02 1.670963642e+02 3.5e-10 0.62 70 6.1e-07 1.0e-03 3.7e-05 1.01e+00 1.670949327e+02 1.670963100e+02 3.2e-10 0.63 71 5.5e-07 9.3e-04 3.3e-05 1.01e+00 1.670950269e+02 1.670962602e+02 2.9e-10 0.64 72 5.0e-07 8.4e-04 3.0e-05 9.98e-01 1.670951078e+02 1.670962181e+02 2.6e-10 0.65 73 4.5e-07 7.6e-04 2.7e-05 1.00e+00 1.670951806e+02 1.670961797e+02 2.3e-10 0.66 74 4.0e-07 6.8e-04 2.4e-05 9.62e-01 1.670952457e+02 1.670961466e+02 2.1e-10 0.67 75 3.6e-07 6.1e-04 2.2e-05 1.00e+00 1.670953048e+02 1.670961152e+02 1.9e-10 0.68 76 3.3e-07 5.5e-04 2.0e-05 9.47e-01 1.670953574e+02 1.670960887e+02 1.7e-10 0.69 77 2.9e-07 5.0e-04 1.8e-05 9.83e-01 1.670954049e+02 1.670960640e+02 1.5e-10 0.69 78 2.6e-07 4.5e-04 1.6e-05 9.72e-01 1.670954477e+02 1.670960418e+02 1.4e-10 0.70 79 2.4e-07 4.0e-04 1.4e-05 9.74e-01 1.670954862e+02 1.670960216e+02 1.2e-10 0.71 80 2.1e-07 3.6e-04 1.3e-05 1.11e+00 1.670955379e+02 1.670959913e+02 1.2e-10 0.72 81 1.9e-07 3.3e-04 1.2e-05 1.05e+00 1.670955741e+02 1.670959712e+02 1.1e-10 0.72 82 1.7e-07 2.9e-04 1.1e-05 9.00e-01 1.670955997e+02 1.670959587e+02 9.7e-11 0.73 83 1.6e-07 2.6e-04 9.5e-06 9.56e-01 1.670956230e+02 1.670959468e+02 8.8e-11 0.74 84 1.4e-07 2.4e-04 8.5e-06 1.26e+00 1.670956449e+02 1.670959326e+02 7.9e-11 0.75 85 1.3e-07 2.1e-04 7.7e-06 1.02e+00 1.670956658e+02 1.670959215e+02 7.2e-11 0.75 86 1.1e-07 1.9e-04 6.9e-06 9.32e-01 1.670956824e+02 1.670959135e+02 6.5e-11 0.76 87 1.0e-07 1.7e-04 6.2e-06 9.84e-01 1.670956975e+02 1.670959055e+02 5.8e-11 0.77 88 9.2e-08 1.6e-04 5.6e-06 8.13e-01 1.670957107e+02 1.670958999e+02 5.2e-11 0.77 89 8.3e-08 1.4e-04 5.0e-06 8.80e-01 1.670957228e+02 1.670958941e+02 4.7e-11 0.78 90 7.6e-08 1.3e-04 4.5e-06 7.53e-01 1.670957335e+02 1.670958896e+02 4.2e-11 0.79 91 6.9e-08 1.1e-04 4.1e-06 7.15e-01 1.670957432e+02 1.670958858e+02 3.8e-11 0.80 92 6.1e-08 1.0e-04 3.7e-06 1.47e+00 1.670957529e+02 1.670958781e+02 3.4e-11 0.80 93 5.5e-08 9.2e-05 3.3e-06 8.63e-01 1.670957608e+02 1.670958741e+02 3.1e-11 0.81 94 4.9e-08 8.3e-05 3.0e-06 1.22e+00 1.670957685e+02 1.670958690e+02 2.8e-11 0.82 95 4.4e-08 7.5e-05 2.7e-06 1.18e+00 1.670957803e+02 1.670958618e+02 2.7e-11 0.83 96 4.3e-08 6.7e-05 2.4e-06 1.10e+00 1.670957883e+02 1.670958574e+02 2.6e-11 0.84 97 1.3e-07 6.5e-05 2.3e-06 2.34e+01 1.670957954e+02 1.670958412e+02 1.9e-11 0.85 98 1.2e-07 5.8e-05 2.1e-06 2.38e+00 1.670958013e+02 1.670958392e+02 1.7e-11 0.86 99 1.1e-07 5.3e-05 1.9e-06 9.21e-01 1.670958045e+02 1.670958387e+02 1.5e-11 0.87 100 1.0e-07 4.7e-05 1.7e-06 1.01e+00 1.670958077e+02 1.670958382e+02 1.4e-11 0.89 101 9.1e-08 4.3e-05 1.5e-06 9.95e-01 1.670958104e+02 1.670958377e+02 1.2e-11 0.89 102 8.1e-08 3.8e-05 1.4e-06 1.62e+00 1.670958132e+02 1.670958371e+02 1.1e-11 0.91 103 7.4e-08 3.5e-05 1.2e-06 1.22e+00 1.670958154e+02 1.670958367e+02 1.0e-11 0.92 Optimizer terminated. Time: 0.92 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6709581541e+02 nrm: 2e+01 Viol. con: 1e-06 var: 0e+00 Dual. obj: 1.6709583675e+02 nrm: 9e+02 Viol. con: 0e+00 var: 1e-04 * End solution on dual form. * Transforming to primal solution. Solving took 0.944 seconds. Using solver 'mosek' Solving for 1748 variables. MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1749 Cones : 0 Scalar variables : 6101 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Freed constraints in eliminator : 472 Eliminator terminated. Eliminator started. Freed constraints in eliminator : 6 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1749 Cones : 0 Scalar variables : 6101 Matrix variables : 0 Integer variables : 0 Optimizer - threads : 8 Optimizer - solved problem : the primal Optimizer - Constraints : 868 Optimizer - Cones : 0 Optimizer - Scalar variables : 3451 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.02 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.01 Factor - nonzeros before factor : 1.48e+04 after factor : 1.48e+05 Factor - dense dim. : 0 flops : 2.93e+07 Factor - GP saved nzs : 3.33e+04 GP saved flops : 9.12e+05 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.6e+03 1.2e+05 0.00e+00 -1.237491052e+05 2.000000000e+00 1.0e+00 0.04 1 1.7e+03 2.6e+03 9.0e+04 -9.71e-01 -1.230051622e+05 2.628714936e+00 7.2e-01 0.04 2 8.7e+02 1.4e+03 4.7e+04 -9.59e-01 -1.206769287e+05 4.656932367e+00 3.8e-01 0.05 3 2.9e+02 4.6e+02 1.6e+04 -9.21e-01 -1.117660642e+05 2.006454280e+01 1.3e-01 0.06 4 2.9e+02 4.6e+02 1.6e+04 -7.73e-01 -1.095928583e+05 1.917273339e+03 1.3e-01 0.06 5 1.2e+02 1.9e+02 6.5e+03 -7.63e-01 -8.815406305e+04 6.301964476e+03 5.3e-02 0.07 6 4.0e+01 6.3e+01 2.2e+03 -4.50e-01 -4.810694490e+04 1.098450134e+04 1.8e-02 0.08 7 2.5e+01 3.9e+01 1.3e+03 2.23e-01 -3.417995100e+04 7.471100510e+03 1.1e-02 0.08 8 1.2e+01 1.9e+01 6.5e+02 4.89e-01 -1.841437506e+04 4.250327359e+03 5.3e-03 0.09 9 3.9e+00 6.2e+00 2.1e+02 7.62e-01 -6.079617169e+03 2.004072841e+03 1.8e-03 0.10 10 2.3e+00 3.6e+00 1.2e+02 9.51e-01 -3.348709564e+03 1.369385886e+03 1.0e-03 0.10 11 9.6e-01 1.5e+00 5.3e+01 9.83e-01 -1.341473639e+03 6.716781476e+02 4.4e-04 0.11 12 7.9e-01 1.3e+00 4.4e+01 9.79e-01 -1.108501626e+03 5.799282710e+02 3.6e-04 0.12 13 7.5e-01 1.2e+00 4.1e+01 9.86e-01 -1.026923381e+03 5.623532525e+02 3.4e-04 0.13 14 2.6e-01 4.5e-01 1.5e+01 9.85e-01 -2.677966215e+02 2.992138734e+02 1.2e-04 0.13 15 1.2e-01 3.5e-01 6.6e+00 1.01e+00 -3.926603929e+01 2.146631657e+02 5.5e-05 0.14 16 1.1e-01 3.3e-01 6.0e+00 1.01e+00 -1.198752865e+01 2.196214563e+02 5.0e-05 0.15 17 8.7e-02 4.3e-01 4.9e+00 1.01e+00 1.945767868e+01 2.094440827e+02 4.2e-05 0.15 18 3.7e-02 1.9e-01 2.1e+00 1.01e+00 1.045391567e+02 1.838693347e+02 1.7e-05 0.16 19 9.9e-03 1.9e-01 5.7e-01 1.02e+00 1.505055784e+02 1.721489517e+02 4.8e-06 0.17 20 3.9e-03 1.6e-01 2.3e-01 1.01e+00 1.603048687e+02 1.688286538e+02 1.9e-06 0.17 21 1.8e-03 9.1e-02 1.1e-01 1.01e+00 1.636747889e+02 1.677018607e+02 9.1e-07 0.18 22 6.6e-04 9.6e-02 4.0e-02 1.01e+00 1.655620826e+02 1.670587271e+02 3.4e-07 0.19 23 2.5e-04 9.7e-02 1.5e-02 1.01e+00 1.662322259e+02 1.668083553e+02 1.3e-07 0.19 24 2.3e-04 8.9e-02 1.4e-02 1.01e+00 1.662772825e+02 1.667957045e+02 1.2e-07 0.20 25 2.0e-04 8.1e-02 1.3e-02 1.01e+00 1.663139499e+02 1.667803791e+02 1.1e-07 0.21 26 1.8e-04 7.4e-02 1.1e-02 1.01e+00 1.663470167e+02 1.667666725e+02 9.7e-08 0.22 27 1.7e-04 6.7e-02 1.0e-02 1.01e+00 1.663766562e+02 1.667542395e+02 8.7e-08 0.22 28 1.5e-04 6.1e-02 9.1e-03 1.01e+00 1.664032653e+02 1.667430022e+02 7.9e-08 0.23 29 1.3e-04 5.6e-02 8.2e-03 1.01e+00 1.664271496e+02 1.667328408e+02 7.1e-08 0.24 30 1.2e-04 5.1e-02 7.4e-03 1.01e+00 1.664485904e+02 1.667236538e+02 6.4e-08 0.24 31 1.1e-04 4.7e-02 6.7e-03 1.01e+00 1.664678389e+02 1.667153482e+02 5.7e-08 0.25 32 9.8e-05 4.3e-02 6.0e-03 1.01e+00 1.664851201e+02 1.667078397e+02 5.2e-08 0.26 33 8.8e-05 3.9e-02 5.4e-03 1.00e+00 1.665006361e+02 1.667010524e+02 4.7e-08 0.26 34 7.9e-05 3.6e-02 4.9e-03 1.00e+00 1.665145680e+02 1.666949173e+02 4.2e-08 0.27 35 7.1e-05 3.3e-02 4.4e-03 1.00e+00 1.665270781e+02 1.666893721e+02 3.8e-08 0.28 36 6.4e-05 3.1e-02 3.9e-03 1.00e+00 1.665383122e+02 1.666843604e+02 3.4e-08 0.28 37 5.8e-05 2.9e-02 3.5e-03 1.00e+00 1.665484010e+02 1.666798312e+02 3.1e-08 0.29 38 5.2e-05 2.6e-02 3.2e-03 1.00e+00 1.665574617e+02 1.666757384e+02 2.7e-08 0.30 39 4.7e-05 2.5e-02 2.9e-03 1.00e+00 1.665655996e+02 1.666720402e+02 2.5e-08 0.30 40 4.2e-05 2.3e-02 2.6e-03 1.00e+00 1.665729091e+02 1.666686989e+02 2.2e-08 0.31 41 3.8e-05 2.1e-02 2.3e-03 1.00e+00 1.665794749e+02 1.666656804e+02 2.0e-08 0.32 42 3.4e-05 2.0e-02 2.1e-03 1.00e+00 1.665853730e+02 1.666629538e+02 1.8e-08 0.32 43 3.1e-05 1.9e-02 1.9e-03 1.00e+00 1.665906717e+02 1.666604911e+02 1.6e-08 0.33 44 2.8e-05 1.8e-02 1.7e-03 1.00e+00 1.665954321e+02 1.666582670e+02 1.5e-08 0.34 45 2.5e-05 1.7e-02 1.5e-03 1.00e+00 1.665997093e+02 1.666562586e+02 1.3e-08 0.34 46 2.2e-05 1.6e-02 1.4e-03 1.00e+00 1.666035525e+02 1.666544453e+02 1.2e-08 0.35 47 2.0e-05 1.5e-02 1.2e-03 1.00e+00 1.666070060e+02 1.666528083e+02 1.1e-08 0.36 48 1.8e-05 1.4e-02 1.1e-03 1.00e+00 1.666101095e+02 1.666513306e+02 9.6e-09 0.36 49 1.6e-05 1.4e-02 1.0e-03 1.00e+00 1.666128986e+02 1.666499970e+02 8.6e-09 0.37 50 1.5e-05 1.3e-02 9.0e-04 1.00e+00 1.666154055e+02 1.666487934e+02 7.8e-09 0.38 51 1.3e-05 1.3e-02 8.1e-04 1.00e+00 1.666176587e+02 1.666477075e+02 7.0e-09 0.38 52 1.2e-05 1.2e-02 7.3e-04 1.00e+00 1.666196841e+02 1.666467277e+02 6.3e-09 0.39 53 1.1e-05 1.2e-02 6.6e-04 1.00e+00 1.666215048e+02 1.666458439e+02 5.7e-09 0.40 54 9.6e-06 1.2e-02 5.9e-04 1.00e+00 1.666231416e+02 1.666450466e+02 5.1e-09 0.40 55 8.7e-06 1.1e-02 5.3e-04 1.00e+00 1.666246131e+02 1.666443276e+02 4.6e-09 0.41 56 7.8e-06 1.1e-02 4.8e-04 1.00e+00 1.666259362e+02 1.666436791e+02 4.1e-09 0.42 57 7.0e-06 1.1e-02 4.3e-04 1.00e+00 1.666271257e+02 1.666430944e+02 3.7e-09 0.43 58 6.3e-06 1.0e-02 3.9e-04 1.00e+00 1.666281953e+02 1.666425671e+02 3.3e-09 0.43 59 5.7e-06 1.0e-02 3.5e-04 1.00e+00 1.666291571e+02 1.666420917e+02 3.0e-09 0.44 60 5.1e-06 1.0e-02 3.1e-04 1.00e+00 1.666300219e+02 1.666416631e+02 2.7e-09 0.45 61 4.6e-06 9.8e-03 2.8e-04 1.00e+00 1.666307995e+02 1.666412766e+02 2.4e-09 0.45 62 4.2e-06 9.7e-03 2.5e-04 1.00e+00 1.666314988e+02 1.666409282e+02 2.2e-09 0.46 63 3.7e-06 9.5e-03 2.3e-04 1.00e+00 1.666321275e+02 1.666406140e+02 2.0e-09 0.47 64 3.4e-06 9.4e-03 2.1e-04 1.00e+00 1.666326929e+02 1.666403308e+02 1.8e-09 0.47 65 3.0e-06 9.3e-03 1.9e-04 1.00e+00 1.666332012e+02 1.666400754e+02 1.6e-09 0.48 66 2.7e-06 9.2e-03 1.7e-04 1.00e+00 1.666336584e+02 1.666398451e+02 1.4e-09 0.49 67 2.5e-06 9.1e-03 1.5e-04 1.00e+00 1.666340695e+02 1.666396376e+02 1.3e-09 0.49 68 2.2e-06 9.0e-03 1.4e-04 1.00e+00 1.666344393e+02 1.666394506e+02 1.2e-09 0.50 69 2.0e-06 8.9e-03 1.2e-04 1.00e+00 1.666347718e+02 1.666392821e+02 1.1e-09 0.51 70 1.8e-06 8.9e-03 1.1e-04 1.00e+00 1.666350710e+02 1.666391302e+02 9.5e-10 0.51 71 1.6e-06 8.8e-03 9.9e-05 1.00e+00 1.666353400e+02 1.666389933e+02 8.5e-10 0.52 72 1.4e-06 8.7e-03 8.9e-05 1.00e+00 1.666355820e+02 1.666388700e+02 7.7e-10 0.53 73 1.3e-06 8.7e-03 8.0e-05 1.00e+00 1.666357997e+02 1.666387589e+02 6.9e-10 0.53 74 1.2e-06 8.6e-03 7.2e-05 1.00e+00 1.666359954e+02 1.666386588e+02 6.2e-10 0.54 75 1.1e-06 8.6e-03 6.5e-05 1.00e+00 1.666361715e+02 1.666385685e+02 5.6e-10 0.55 76 9.5e-07 8.5e-03 5.8e-05 1.00e+00 1.666363299e+02 1.666384872e+02 5.0e-10 0.55 77 8.5e-07 8.5e-03 5.2e-05 1.00e+00 1.666364723e+02 1.666384139e+02 4.5e-10 0.56 78 7.7e-07 8.4e-03 4.7e-05 1.00e+00 1.666366004e+02 1.666383478e+02 4.1e-10 0.57 79 6.9e-07 8.4e-03 4.3e-05 1.00e+00 1.666367156e+02 1.666382883e+02 3.7e-10 0.57 80 6.2e-07 8.4e-03 3.8e-05 1.00e+00 1.666368191e+02 1.666382346e+02 3.3e-10 0.58 81 5.6e-07 8.3e-03 3.4e-05 1.00e+00 1.666369123e+02 1.666381862e+02 3.0e-10 0.59 82 5.0e-07 8.3e-03 3.1e-05 1.00e+00 1.666369960e+02 1.666381425e+02 2.7e-10 0.60 83 4.5e-07 8.3e-03 2.8e-05 1.00e+00 1.666370713e+02 1.666381032e+02 2.4e-10 0.60 84 4.1e-07 8.2e-03 2.5e-05 1.00e+00 1.666371390e+02 1.666380677e+02 2.2e-10 0.61 85 3.7e-07 8.2e-03 2.3e-05 1.00e+00 1.666371999e+02 1.666380357e+02 1.9e-10 0.62 86 3.3e-07 8.2e-03 2.0e-05 1.00e+00 1.666372547e+02 1.666380069e+02 1.8e-10 0.63 87 3.0e-07 8.2e-03 1.8e-05 1.00e+00 1.666373039e+02 1.666379810e+02 1.6e-10 0.63 88 2.7e-07 8.1e-03 1.6e-05 1.00e+00 1.666373482e+02 1.666379576e+02 1.4e-10 0.64 89 2.4e-07 8.1e-03 1.5e-05 1.00e+00 1.666373881e+02 1.666379365e+02 1.3e-10 0.65 90 2.2e-07 8.1e-03 1.3e-05 1.00e+00 1.666374239e+02 1.666379175e+02 1.2e-10 0.66 91 2.0e-07 8.1e-03 1.2e-05 1.00e+00 1.666374562e+02 1.666379004e+02 1.0e-10 0.67 92 1.8e-07 8.0e-03 1.1e-05 9.99e-01 1.666374852e+02 1.666378850e+02 9.3e-11 0.68 93 1.6e-07 8.0e-03 9.7e-06 1.00e+00 1.666375113e+02 1.666378711e+02 8.4e-11 0.69 94 1.4e-07 8.0e-03 8.8e-06 1.00e+00 1.666375348e+02 1.666378586e+02 7.6e-11 0.69 95 1.3e-07 8.0e-03 7.9e-06 1.00e+00 1.666375559e+02 1.666378474e+02 6.8e-11 0.70 96 1.2e-07 8.0e-03 7.1e-06 1.00e+00 1.666375750e+02 1.666378372e+02 6.1e-11 0.71 97 1.0e-07 8.0e-03 6.4e-06 1.00e+00 1.666375921e+02 1.666378281e+02 5.5e-11 0.72 98 9.4e-08 7.9e-03 5.7e-06 1.00e+00 1.666376075e+02 1.666378199e+02 5.0e-11 0.73 99 8.4e-08 7.9e-03 5.2e-06 1.00e+00 1.666376213e+02 1.666378126e+02 4.5e-11 0.74 100 7.6e-08 7.9e-03 4.7e-06 1.00e+00 1.666376338e+02 1.666378059e+02 4.0e-11 0.75 101 6.8e-08 7.9e-03 4.2e-06 1.00e+00 1.666376450e+02 1.666377999e+02 3.6e-11 0.76 102 6.1e-08 7.9e-03 3.8e-06 9.99e-01 1.666376551e+02 1.666377945e+02 3.3e-11 0.77 103 5.5e-08 7.8e-03 3.4e-06 1.00e+00 1.666376642e+02 1.666377897e+02 2.9e-11 0.78 104 5.0e-08 7.8e-03 3.1e-06 9.99e-01 1.666376724e+02 1.666377853e+02 2.6e-11 0.79 105 4.5e-08 7.8e-03 2.7e-06 9.99e-01 1.666376798e+02 1.666377814e+02 2.4e-11 0.80 106 4.0e-08 7.8e-03 2.5e-06 1.00e+00 1.666376864e+02 1.666377779e+02 2.1e-11 0.81 107 3.6e-08 7.0e-03 2.2e-06 1.00e+00 1.666376924e+02 1.666377747e+02 1.9e-11 0.82 108 3.3e-08 6.3e-03 2.0e-06 1.00e+00 1.666376978e+02 1.666377718e+02 1.7e-11 0.83 109 2.9e-08 5.7e-03 1.8e-06 1.00e+00 1.666377026e+02 1.666377692e+02 1.6e-11 0.83 110 2.6e-08 5.1e-03 1.6e-06 1.00e+00 1.666377069e+02 1.666377669e+02 1.4e-11 0.85 111 2.4e-08 4.6e-03 1.5e-06 1.00e+00 1.666377109e+02 1.666377648e+02 1.3e-11 0.85 112 2.1e-08 4.1e-03 1.3e-06 9.97e-01 1.666377144e+02 1.666377629e+02 1.1e-11 0.86 113 1.9e-08 3.7e-03 1.2e-06 9.99e-01 1.666377176e+02 1.666377612e+02 1.0e-11 0.87 114 1.7e-08 3.4e-03 1.1e-06 9.99e-01 1.666377204e+02 1.666377597e+02 9.2e-12 0.88 115 1.6e-08 3.0e-03 9.6e-07 9.99e-01 1.666377230e+02 1.666377583e+02 8.3e-12 0.88 116 1.4e-08 2.7e-03 8.6e-07 1.00e+00 1.666377253e+02 1.666377571e+02 7.5e-12 0.89 117 1.3e-08 2.4e-03 7.8e-07 9.90e-01 1.666377273e+02 1.666377561e+02 6.7e-12 0.90 118 1.1e-08 2.2e-03 7.0e-07 1.00e+00 1.666377292e+02 1.666377551e+02 6.0e-12 0.91 119 1.0e-08 2.0e-03 6.3e-07 9.96e-01 1.666377309e+02 1.666377542e+02 5.4e-12 0.92 120 9.3e-09 1.8e-03 5.7e-07 1.00e+00 1.666377324e+02 1.666377534e+02 4.9e-12 0.93 121 8.3e-09 1.6e-03 5.1e-07 1.00e+00 1.666377338e+02 1.666377526e+02 4.4e-12 0.94 122 7.5e-09 1.4e-03 4.6e-07 1.01e+00 1.666377350e+02 1.666377519e+02 4.0e-12 0.95 123 6.8e-09 1.3e-03 4.1e-07 1.01e+00 1.666377362e+02 1.666377513e+02 3.6e-12 0.97 124 6.1e-09 1.2e-03 3.7e-07 1.01e+00 1.666377372e+02 1.666377507e+02 3.3e-12 0.98 125 5.5e-09 1.1e-03 3.3e-07 9.99e-01 1.666377381e+02 1.666377503e+02 2.9e-12 0.98 126 5.0e-09 9.5e-04 3.0e-07 1.01e+00 1.666377389e+02 1.666377498e+02 2.7e-12 0.99 127 4.5e-09 8.5e-04 2.7e-07 1.02e+00 1.666377397e+02 1.666377494e+02 2.4e-12 1.00 128 5.6e-08 1.1e-05 3.5e-09 7.43e-01 1.666377472e+02 1.666377474e+02 4.8e-13 1.00 Optimizer terminated. Time: 1.01 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6663774725e+02 nrm: 2e+01 Viol. con: 2e-06 var: 0e+00 Dual. obj: 1.6663774741e+02 nrm: 9e+02 Viol. con: 0e+00 var: 1e-04 * End solution on dual form. * Transforming to primal solution. Solving took 1.03 seconds. Using solver 'mosek' Solving for 1748 variables. MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1749 Cones : 0 Scalar variables : 6101 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Freed constraints in eliminator : 472 Eliminator terminated. Eliminator started. Freed constraints in eliminator : 6 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1749 Cones : 0 Scalar variables : 6101 Matrix variables : 0 Integer variables : 0 Optimizer - threads : 8 Optimizer - solved problem : the primal Optimizer - Constraints : 868 Optimizer - Cones : 0 Optimizer - Scalar variables : 3451 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.02 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.01 Factor - nonzeros before factor : 1.48e+04 after factor : 1.48e+05 Factor - dense dim. : 0 flops : 2.93e+07 Factor - GP saved nzs : 3.33e+04 GP saved flops : 9.12e+05 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.6e+03 1.2e+05 0.00e+00 -1.237753739e+05 2.000000000e+00 1.0e+00 0.03 1 1.7e+03 2.6e+03 9.0e+04 -9.71e-01 -1.230370335e+05 2.621294786e+00 7.3e-01 0.04 2 8.7e+02 1.4e+03 4.7e+04 -9.59e-01 -1.207091912e+05 4.644578295e+00 3.8e-01 0.05 3 2.9e+02 4.6e+02 1.6e+04 -9.21e-01 -1.117445296e+05 2.001309028e+01 1.3e-01 0.05 4 2.9e+02 4.6e+02 1.6e+04 -7.72e-01 -1.095031374e+05 1.974666468e+03 1.3e-01 0.06 5 1.2e+02 1.9e+02 6.4e+03 -7.62e-01 -8.799037449e+04 6.314305350e+03 5.3e-02 0.07 6 4.2e+01 6.6e+01 2.3e+03 -4.47e-01 -4.984556168e+04 1.081696070e+04 1.8e-02 0.08 7 2.5e+01 4.0e+01 1.4e+03 1.91e-01 -3.456473041e+04 7.453847367e+03 1.1e-02 0.09 8 1.3e+01 2.0e+01 7.0e+02 4.82e-01 -1.966103600e+04 4.634640429e+03 5.7e-03 0.10 9 4.9e+00 7.7e+00 2.7e+02 7.41e-01 -7.622087862e+03 2.281743691e+03 2.2e-03 0.11 10 2.3e+00 3.7e+00 1.3e+02 9.30e-01 -3.406598713e+03 1.397641560e+03 1.0e-03 0.11 11 1.5e+00 2.3e+00 8.1e+01 9.81e-01 -2.141147845e+03 9.482776310e+02 6.7e-04 0.12 12 8.6e-01 1.4e+00 4.7e+01 9.88e-01 -1.174998359e+03 6.210539829e+02 3.9e-04 0.13 13 7.5e-01 1.2e+00 4.1e+01 9.55e-01 -1.042162751e+03 5.605880191e+02 3.4e-04 0.14 14 3.8e-01 6.2e-01 2.1e+01 9.87e-01 -4.228247028e+02 3.771747290e+02 1.7e-04 0.16 15 1.8e-01 3.1e-01 1.0e+01 9.99e-01 -1.361354275e+02 2.593484518e+02 8.5e-05 0.17 16 9.2e-02 1.8e-01 5.2e+00 1.01e+00 7.062921614e+00 2.057327727e+02 4.3e-05 0.18 17 8.9e-02 1.7e-01 5.0e+00 1.01e+00 1.638500422e+01 2.077013944e+02 4.1e-05 0.19 18 6.2e-02 1.2e-01 3.5e+00 1.01e+00 6.254439192e+01 1.952098048e+02 2.9e-05 0.19 19 3.0e-02 7.9e-02 1.7e+00 1.01e+00 1.175697610e+02 1.808611984e+02 1.4e-05 0.20 20 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.531753702e+02 1.715704380e+02 4.0e-06 0.21 21 2.5e-03 1.9e-01 1.5e-01 1.00e+00 1.623486761e+02 1.679511923e+02 1.2e-06 0.22 22 1.5e-03 1.2e-01 8.6e-02 1.00e+00 1.641427991e+02 1.674087189e+02 7.3e-07 0.23 23 5.2e-04 1.0e-01 3.1e-02 1.01e+00 1.656943758e+02 1.668625159e+02 2.6e-07 0.24 24 1.9e-04 1.0e-01 1.2e-02 1.01e+00 1.662226038e+02 1.666602047e+02 1.0e-07 0.25 25 1.7e-04 9.1e-02 1.1e-02 1.01e+00 1.662565312e+02 1.666502281e+02 9.1e-08 0.26 26 1.5e-04 8.3e-02 9.5e-03 1.01e+00 1.662843877e+02 1.666385768e+02 8.2e-08 0.27 27 1.4e-04 7.5e-02 8.5e-03 1.01e+00 1.663096002e+02 1.666282610e+02 7.3e-08 0.28 28 1.2e-04 6.8e-02 7.7e-03 1.01e+00 1.663321764e+02 1.666188810e+02 6.6e-08 0.29 29 1.1e-04 6.2e-02 6.9e-03 1.01e+00 1.663524351e+02 1.666103947e+02 5.9e-08 0.29 30 1.0e-04 5.7e-02 6.2e-03 1.01e+00 1.663706092e+02 1.666027116e+02 5.4e-08 0.30 31 9.1e-05 5.2e-02 5.6e-03 1.01e+00 1.663869151e+02 1.665957570e+02 4.8e-08 0.31 32 8.2e-05 4.8e-02 5.0e-03 1.01e+00 1.664015458e+02 1.665894624e+02 4.3e-08 0.31 33 7.4e-05 4.4e-02 4.5e-03 1.01e+00 1.664146744e+02 1.665837659e+02 3.9e-08 0.32 34 6.6e-05 4.0e-02 4.1e-03 1.01e+00 1.664264566e+02 1.665786118e+02 3.5e-08 0.33 35 6.0e-05 3.7e-02 3.7e-03 1.01e+00 1.664370315e+02 1.665739492e+02 3.2e-08 0.33 36 5.4e-05 3.4e-02 3.3e-03 1.00e+00 1.664465241e+02 1.665697322e+02 2.8e-08 0.34 37 4.8e-05 3.1e-02 3.0e-03 1.00e+00 1.664550460e+02 1.665659190e+02 2.6e-08 0.35 38 4.4e-05 2.9e-02 2.7e-03 1.00e+00 1.664626974e+02 1.665624716e+02 2.3e-08 0.36 39 3.9e-05 2.7e-02 2.4e-03 1.00e+00 1.664695680e+02 1.665593556e+02 2.1e-08 0.36 40 3.5e-05 2.5e-02 2.2e-03 1.00e+00 1.664757382e+02 1.665565397e+02 1.9e-08 0.37 41 3.2e-05 2.3e-02 1.9e-03 1.00e+00 1.664812799e+02 1.665539954e+02 1.7e-08 0.38 42 2.9e-05 2.2e-02 1.8e-03 1.00e+00 1.664862576e+02 1.665516970e+02 1.5e-08 0.38 43 2.6e-05 2.0e-02 1.6e-03 1.00e+00 1.664907293e+02 1.665496211e+02 1.4e-08 0.39 44 2.3e-05 1.9e-02 1.4e-03 1.00e+00 1.664947468e+02 1.665477465e+02 1.2e-08 0.40 45 2.1e-05 1.8e-02 1.3e-03 1.00e+00 1.664983566e+02 1.665460541e+02 1.1e-08 0.40 46 1.9e-05 1.7e-02 1.2e-03 1.00e+00 1.665016004e+02 1.665445264e+02 9.9e-09 0.41 47 1.7e-05 1.6e-02 1.0e-03 1.00e+00 1.665045157e+02 1.665431477e+02 9.0e-09 0.42 48 1.5e-05 1.5e-02 9.3e-04 1.00e+00 1.665071361e+02 1.665419038e+02 8.1e-09 0.43 49 1.4e-05 1.5e-02 8.4e-04 1.00e+00 1.665094915e+02 1.665407817e+02 7.3e-09 0.43 50 1.2e-05 1.4e-02 7.6e-04 1.00e+00 1.665116092e+02 1.665397698e+02 6.5e-09 0.44 51 1.1e-05 1.3e-02 6.8e-04 1.00e+00 1.665135132e+02 1.665388573e+02 5.9e-09 0.45 52 1.0e-05 1.3e-02 6.1e-04 1.00e+00 1.665152253e+02 1.665380346e+02 5.3e-09 0.46 53 9.0e-06 1.2e-02 5.5e-04 1.00e+00 1.665167650e+02 1.665372932e+02 4.8e-09 0.46 54 8.1e-06 1.2e-02 5.0e-04 1.00e+00 1.665181497e+02 1.665366249e+02 4.3e-09 0.47 55 7.3e-06 1.1e-02 4.5e-04 1.00e+00 1.665193951e+02 1.665360228e+02 3.9e-09 0.48 56 6.5e-06 1.1e-02 4.0e-04 1.00e+00 1.665205154e+02 1.665354802e+02 3.5e-09 0.48 57 5.9e-06 1.1e-02 3.6e-04 1.00e+00 1.665215231e+02 1.665349914e+02 3.1e-09 0.49 58 5.3e-06 1.1e-02 3.3e-04 1.00e+00 1.665224295e+02 1.665345509e+02 2.8e-09 0.50 59 4.8e-06 1.0e-02 2.9e-04 1.00e+00 1.665232448e+02 1.665341542e+02 2.5e-09 0.50 60 4.3e-06 1.0e-02 2.6e-04 1.00e+00 1.665239782e+02 1.665337967e+02 2.3e-09 0.51 61 3.9e-06 9.9e-03 2.4e-04 1.00e+00 1.665246379e+02 1.665334746e+02 2.0e-09 0.52 62 3.5e-06 9.7e-03 2.1e-04 1.00e+00 1.665252313e+02 1.665331843e+02 1.8e-09 0.52 63 3.1e-06 9.6e-03 1.9e-04 1.00e+00 1.665257650e+02 1.665329227e+02 1.7e-09 0.53 64 2.8e-06 9.4e-03 1.7e-04 1.00e+00 1.665262450e+02 1.665326870e+02 1.5e-09 0.54 65 2.5e-06 9.3e-03 1.6e-04 1.00e+00 1.665266767e+02 1.665324746e+02 1.3e-09 0.54 66 2.3e-06 9.2e-03 1.4e-04 1.00e+00 1.665270651e+02 1.665322832e+02 1.2e-09 0.55 67 2.1e-06 9.1e-03 1.3e-04 1.00e+00 1.665274145e+02 1.665321108e+02 1.1e-09 0.56 68 1.8e-06 9.0e-03 1.1e-04 1.00e+00 1.665277288e+02 1.665319555e+02 9.8e-10 0.56 69 1.7e-06 8.9e-03 1.0e-04 1.00e+00 1.665280116e+02 1.665318156e+02 8.8e-10 0.57 70 1.5e-06 8.8e-03 9.2e-05 1.00e+00 1.665282659e+02 1.665316896e+02 7.9e-10 0.58 71 1.3e-06 8.7e-03 8.3e-05 1.00e+00 1.665284948e+02 1.665315761e+02 7.2e-10 0.58 72 1.2e-06 8.7e-03 7.4e-05 1.00e+00 1.665287006e+02 1.665314738e+02 6.4e-10 0.59 73 1.1e-06 8.6e-03 6.7e-05 1.00e+00 1.665288858e+02 1.665313817e+02 5.8e-10 0.60 74 9.8e-07 8.6e-03 6.0e-05 1.00e+00 1.665290524e+02 1.665312987e+02 5.2e-10 0.60 75 8.8e-07 8.5e-03 5.4e-05 1.00e+00 1.665292022e+02 1.665312239e+02 4.7e-10 0.61 76 7.9e-07 8.5e-03 4.9e-05 1.00e+00 1.665293369e+02 1.665311565e+02 4.2e-10 0.62 77 7.2e-07 8.4e-03 4.4e-05 1.00e+00 1.665294581e+02 1.665310958e+02 3.8e-10 0.62 78 6.4e-07 8.4e-03 4.0e-05 1.00e+00 1.665295672e+02 1.665310410e+02 3.4e-10 0.63 79 5.8e-07 8.3e-03 3.6e-05 1.00e+00 1.665296652e+02 1.665309917e+02 3.1e-10 0.64 80 5.2e-07 8.3e-03 3.2e-05 1.00e+00 1.665297533e+02 1.665309472e+02 2.8e-10 0.64 81 4.7e-07 8.3e-03 2.9e-05 1.00e+00 1.665298326e+02 1.665309071e+02 2.5e-10 0.65 82 4.2e-07 8.2e-03 2.6e-05 1.00e+00 1.665299039e+02 1.665308709e+02 2.2e-10 0.66 83 3.8e-07 8.2e-03 2.3e-05 1.00e+00 1.665299680e+02 1.665308384e+02 2.0e-10 0.67 84 3.4e-07 8.2e-03 2.1e-05 1.00e+00 1.665300257e+02 1.665308090e+02 1.8e-10 0.67 85 3.1e-07 8.2e-03 1.9e-05 1.00e+00 1.665300775e+02 1.665307825e+02 1.6e-10 0.68 86 2.8e-07 8.1e-03 1.7e-05 1.00e+00 1.665301241e+02 1.665307586e+02 1.5e-10 0.69 87 2.5e-07 8.1e-03 1.5e-05 1.00e+00 1.665301661e+02 1.665307371e+02 1.3e-10 0.70 88 2.2e-07 8.1e-03 1.4e-05 1.00e+00 1.665302038e+02 1.665307178e+02 1.2e-10 0.71 89 2.0e-07 8.1e-03 1.2e-05 1.00e+00 1.665302377e+02 1.665307003e+02 1.1e-10 0.72 90 1.8e-07 8.1e-03 1.1e-05 1.00e+00 1.665302683e+02 1.665306845e+02 9.7e-11 0.73 91 1.6e-07 8.0e-03 1.0e-05 1.00e+00 1.665302958e+02 1.665306704e+02 8.7e-11 0.74 92 1.5e-07 8.0e-03 9.1e-06 1.00e+00 1.665303205e+02 1.665306576e+02 7.8e-11 0.75 93 1.3e-07 8.0e-03 8.1e-06 1.00e+00 1.665303427e+02 1.665306462e+02 7.0e-11 0.75 94 1.2e-07 8.0e-03 7.3e-06 1.00e+00 1.665303627e+02 1.665306358e+02 6.3e-11 0.76 95 1.1e-07 7.9e-03 6.6e-06 1.00e+00 1.665303807e+02 1.665306265e+02 5.7e-11 0.77 96 9.7e-08 7.9e-03 5.9e-06 1.00e+00 1.665303969e+02 1.665306182e+02 5.1e-11 0.78 97 8.7e-08 7.9e-03 5.3e-06 1.00e+00 1.665304115e+02 1.665306106e+02 4.6e-11 0.78 98 7.8e-08 7.9e-03 4.8e-06 1.00e+00 1.665304246e+02 1.665306038e+02 4.2e-11 0.79 99 7.0e-08 7.9e-03 4.3e-06 1.00e+00 1.665304364e+02 1.665305977e+02 3.7e-11 0.80 100 6.3e-08 7.9e-03 3.9e-06 1.00e+00 1.665304471e+02 1.665305922e+02 3.4e-11 0.81 101 5.7e-08 7.8e-03 3.5e-06 9.99e-01 1.665304566e+02 1.665305873e+02 3.0e-11 0.82 102 5.1e-08 7.8e-03 3.2e-06 9.99e-01 1.665304652e+02 1.665305828e+02 2.7e-11 0.83 103 1.3e-07 7.6e-03 3.1e-06 9.90e-01 1.665304639e+02 1.665305917e+02 2.6e-11 0.84 104 1.3e-07 7.3e-03 2.8e-06 1.00e+00 1.665304717e+02 1.665305876e+02 2.4e-11 0.85 105 1.2e-07 7.3e-03 2.5e-06 9.99e-01 1.665304788e+02 1.665305831e+02 2.1e-11 0.86 106 1.1e-07 7.3e-03 2.2e-06 9.97e-01 1.665304851e+02 1.665305790e+02 1.9e-11 0.87 107 9.5e-08 7.2e-03 2.0e-06 1.00e+00 1.665304909e+02 1.665305754e+02 1.7e-11 0.88 108 8.5e-08 7.2e-03 1.8e-06 1.00e+00 1.665304961e+02 1.665305721e+02 1.6e-11 0.89 109 7.7e-08 7.1e-03 1.6e-06 9.97e-01 1.665305008e+02 1.665305691e+02 1.4e-11 0.90 110 6.9e-08 7.1e-03 1.5e-06 1.00e+00 1.665305050e+02 1.665305665e+02 1.3e-11 0.91 111 6.2e-08 7.1e-03 1.3e-06 9.99e-01 1.665305087e+02 1.665305641e+02 1.1e-11 0.92 112 5.6e-08 6.4e-03 1.2e-06 1.01e+00 1.665305122e+02 1.665305619e+02 1.0e-11 0.93 113 5.0e-08 5.7e-03 1.1e-06 1.00e+00 1.665305152e+02 1.665305600e+02 9.2e-12 0.94 114 4.6e-08 5.2e-03 9.7e-07 9.95e-01 1.665305180e+02 1.665305583e+02 8.3e-12 0.95 115 4.1e-08 4.6e-03 8.7e-07 1.00e+00 1.665305204e+02 1.665305567e+02 7.5e-12 0.96 116 3.7e-08 4.2e-03 7.8e-07 9.93e-01 1.665305227e+02 1.665305553e+02 6.7e-12 0.97 117 3.3e-08 3.8e-03 7.0e-07 1.00e+00 1.665305247e+02 1.665305540e+02 6.1e-12 0.98 118 8.3e-08 3.4e-03 6.3e-07 9.34e-01 1.665305257e+02 1.665305588e+02 5.3e-12 0.99 119 4.3e-08 3.0e-03 5.7e-07 1.01e+00 1.665305272e+02 1.665305547e+02 4.7e-12 1.00 120 4.3e-08 2.7e-03 5.1e-07 9.21e-01 1.665305288e+02 1.665305507e+02 4.1e-12 1.02 121 2.7e-08 2.5e-03 4.6e-07 9.95e-01 1.665305300e+02 1.665305510e+02 3.7e-12 1.03 122 2.5e-08 2.3e-03 4.2e-07 1.01e+00 1.665305312e+02 1.665305502e+02 3.4e-12 1.03 123 2.4e-08 2.0e-03 3.7e-07 9.96e-01 1.665305324e+02 1.665305495e+02 3.0e-12 1.04 124 2.2e-08 1.8e-03 3.4e-07 9.97e-01 1.665305334e+02 1.665305488e+02 2.7e-12 1.06 125 2.0e-08 1.6e-03 3.0e-07 1.00e+00 1.665305343e+02 1.665305482e+02 2.4e-12 1.07 126 1.8e-08 1.5e-03 2.7e-07 1.00e+00 1.665305352e+02 1.665305476e+02 2.2e-12 1.08 127 2.6e-08 1.3e-03 2.4e-07 1.00e+00 1.665305363e+02 1.665305471e+02 2.0e-12 1.09 128 5.3e-08 1.2e-03 2.2e-07 9.12e-01 1.665305367e+02 1.665305467e+02 1.9e-12 1.10 129 4.1e-08 1.1e-03 2.0e-07 1.01e+00 1.665305373e+02 1.665305462e+02 1.7e-12 1.11 130 3.7e-08 1.0e-03 1.8e-07 1.00e+00 1.665305380e+02 1.665305459e+02 1.5e-12 1.12 131 3.3e-08 9.1e-04 1.6e-07 1.00e+00 1.665305385e+02 1.665305455e+02 1.4e-12 1.13 132 3.0e-08 8.2e-04 1.4e-07 9.95e-01 1.665305389e+02 1.665305453e+02 1.2e-12 1.14 133 2.7e-08 7.4e-04 1.3e-07 1.00e+00 1.665305393e+02 1.665305450e+02 1.1e-12 1.15 134 2.5e-08 6.6e-04 1.2e-07 1.00e+00 1.665305396e+02 1.665305448e+02 9.9e-13 1.16 Optimizer terminated. Time: 1.17 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6653053960e+02 nrm: 2e+01 Viol. con: 7e-07 var: 0e+00 Dual. obj: 1.6653054477e+02 nrm: 1e+03 Viol. con: 0e+00 var: 6e-03 * End solution on dual form. * Transforming to primal solution. Solving took 1.19 seconds. Using solver 'mosek' Solving for 1748 variables. MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (312) of matrix 'A'. MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1749 Cones : 0 Scalar variables : 6101 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Freed constraints in eliminator : 472 Eliminator terminated. Eliminator started. Freed constraints in eliminator : 6 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.02 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1749 Cones : 0 Scalar variables : 6101 Matrix variables : 0 Integer variables : 0 Optimizer - threads : 8 Optimizer - solved problem : the primal Optimizer - Constraints : 868 Optimizer - Cones : 0 Optimizer - Scalar variables : 3451 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.48e+04 after factor : 1.48e+05 Factor - dense dim. : 0 flops : 2.93e+07 Factor - GP saved nzs : 3.33e+04 GP saved flops : 9.12e+05 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.6e+03 1.2e+05 0.00e+00 -1.237723965e+05 2.000000000e+00 1.0e+00 0.05 1 1.7e+03 2.6e+03 9.0e+04 -9.71e-01 -1.230338911e+05 2.619367871e+00 7.3e-01 0.06 2 8.7e+02 1.4e+03 4.7e+04 -9.59e-01 -1.207104755e+05 4.635090693e+00 3.8e-01 0.07 3 2.9e+02 4.6e+02 1.6e+04 -9.21e-01 -1.116924132e+05 2.006515812e+01 1.3e-01 0.08 4 2.9e+02 4.6e+02 1.6e+04 -7.72e-01 -1.094707951e+05 1.962598695e+03 1.3e-01 0.09 5 1.2e+02 1.9e+02 6.4e+03 -7.62e-01 -8.788226104e+04 6.303856314e+03 5.2e-02 0.11 6 3.3e+01 5.2e+01 1.8e+03 -4.45e-01 -4.126301059e+04 1.179599132e+04 1.5e-02 0.12 7 2.0e+01 3.2e+01 1.1e+03 3.46e-01 -2.865074013e+04 7.420402322e+03 9.0e-03 0.13 8 1.0e+01 1.6e+01 5.5e+02 5.88e-01 -1.559269793e+04 4.104339917e+03 4.5e-03 0.13 9 3.8e+00 6.0e+00 2.1e+02 8.10e-01 -5.894597930e+03 1.898576709e+03 1.7e-03 0.14 10 2.1e+00 3.3e+00 1.1e+02 9.51e-01 -3.065562116e+03 1.212591869e+03 9.2e-04 0.15 11 8.8e-01 1.4e+00 4.8e+01 9.86e-01 -1.199429749e+03 6.419680197e+02 4.0e-04 0.16 12 8.4e-01 1.3e+00 4.6e+01 9.64e-01 -1.163808416e+03 6.115786890e+02 3.8e-04 0.17 13 5.3e-01 8.3e-01 2.9e+01 9.74e-01 -6.960284870e+02 4.363811472e+02 2.4e-04 0.18 14 3.5e-01 5.5e-01 1.9e+01 1.00e+00 -3.813368667e+02 3.597045054e+02 1.6e-04 0.19 15 1.4e-01 2.3e-01 7.7e+00 9.97e-01 -6.719842854e+01 2.314917281e+02 6.5e-05 0.20 16 8.5e-02 1.5e-01 4.7e+00 1.01e+00 2.005116100e+01 2.025960004e+02 4.0e-05 0.20 17 8.2e-02 1.4e-01 4.6e+00 1.02e+00 2.553737299e+01 2.015018767e+02 3.8e-05 0.21 18 5.7e-02 1.0e-01 3.2e+00 1.02e+00 7.030708921e+01 1.929667335e+02 2.7e-05 0.22 19 1.8e-02 8.3e-02 1.0e+00 1.02e+00 1.375642693e+02 1.754927782e+02 8.4e-06 0.23 20 5.4e-03 1.9e-01 3.1e-01 1.01e+00 1.579583233e+02 1.696376159e+02 2.6e-06 0.24 21 3.0e-03 2.2e-01 1.8e-01 1.01e+00 1.615621834e+02 1.681592421e+02 1.5e-06 0.25 22 1.1e-03 1.2e-01 6.4e-02 1.01e+00 1.647466837e+02 1.671515795e+02 5.4e-07 0.26 23 3.3e-04 1.2e-01 2.0e-02 1.01e+00 1.659527749e+02 1.666952723e+02 1.7e-07 0.27 24 1.5e-04 9.6e-02 9.0e-03 1.01e+00 1.662411411e+02 1.665782592e+02 7.8e-08 0.27 25 1.3e-04 8.8e-02 8.1e-03 1.01e+00 1.662670615e+02 1.665704340e+02 7.0e-08 0.28 26 1.2e-04 8.0e-02 7.3e-03 1.01e+00 1.662882724e+02 1.665611881e+02 6.3e-08 0.30 27 1.1e-04 7.2e-02 6.6e-03 1.01e+00 1.663074622e+02 1.665530014e+02 5.7e-08 0.31 28 9.6e-05 6.6e-02 5.9e-03 1.01e+00 1.663246400e+02 1.665455534e+02 5.1e-08 0.32 29 8.7e-05 6.0e-02 5.3e-03 1.01e+00 1.663400561e+02 1.665388193e+02 4.6e-08 0.33 30 7.8e-05 5.5e-02 4.8e-03 1.01e+00 1.663538858e+02 1.665327239e+02 4.2e-08 0.34 31 7.0e-05 5.0e-02 4.3e-03 1.01e+00 1.663662942e+02 1.665272085e+02 3.7e-08 0.36 32 6.3e-05 4.6e-02 3.9e-03 1.01e+00 1.663774282e+02 1.665222182e+02 3.4e-08 0.37 33 5.7e-05 4.2e-02 3.5e-03 1.01e+00 1.663874199e+02 1.665177040e+02 3.0e-08 0.38 34 5.1e-05 3.9e-02 3.2e-03 1.01e+00 1.663963874e+02 1.665136211e+02 2.7e-08 0.39 35 4.6e-05 3.6e-02 2.8e-03 1.01e+00 1.664044369e+02 1.665099292e+02 2.5e-08 0.40 36 4.1e-05 3.3e-02 2.6e-03 1.00e+00 1.664116630e+02 1.665065915e+02 2.2e-08 0.41 37 3.7e-05 3.0e-02 2.3e-03 1.00e+00 1.664181509e+02 1.665035746e+02 2.0e-08 0.42 38 3.4e-05 2.8e-02 2.1e-03 1.00e+00 1.664239766e+02 1.665008483e+02 1.8e-08 0.43 39 3.0e-05 2.6e-02 1.9e-03 1.00e+00 1.664292085e+02 1.664983851e+02 1.6e-08 0.44 40 2.7e-05 2.4e-02 1.7e-03 1.00e+00 1.664339074e+02 1.664961602e+02 1.5e-08 0.45 41 2.4e-05 2.3e-02 1.5e-03 1.00e+00 1.664381284e+02 1.664941507e+02 1.3e-08 0.46 42 2.2e-05 2.1e-02 1.4e-03 1.00e+00 1.664419202e+02 1.664923363e+02 1.2e-08 0.47 43 2.0e-05 2.0e-02 1.2e-03 1.00e+00 1.664453271e+02 1.664906982e+02 1.1e-08 0.49 44 1.8e-05 1.9e-02 1.1e-03 1.00e+00 1.664483883e+02 1.664892197e+02 9.5e-09 0.50 45 1.6e-05 1.8e-02 9.9e-04 1.00e+00 1.664511392e+02 1.664878854e+02 8.6e-09 0.51 46 1.4e-05 1.7e-02 8.9e-04 1.00e+00 1.664536115e+02 1.664866815e+02 7.7e-09 0.52 47 1.3e-05 1.6e-02 8.0e-04 1.00e+00 1.664558338e+02 1.664855955e+02 7.0e-09 0.53 48 1.2e-05 1.5e-02 7.2e-04 1.00e+00 1.664578313e+02 1.664846159e+02 6.3e-09 0.54 49 1.1e-05 1.4e-02 6.5e-04 1.00e+00 1.664596272e+02 1.664837325e+02 5.6e-09 0.55 50 9.5e-06 1.4e-02 5.9e-04 1.00e+00 1.664612418e+02 1.664829359e+02 5.1e-09 0.56 51 8.5e-06 1.3e-02 5.3e-04 1.00e+00 1.664626936e+02 1.664822179e+02 4.6e-09 0.57 52 7.7e-06 1.3e-02 4.7e-04 1.00e+00 1.664639992e+02 1.664815706e+02 4.1e-09 0.58 53 6.9e-06 1.2e-02 4.3e-04 1.00e+00 1.664651733e+02 1.664809873e+02 3.7e-09 0.59 54 6.2e-06 1.2e-02 3.8e-04 1.00e+00 1.664662292e+02 1.664804617e+02 3.3e-09 0.60 55 5.6e-06 1.1e-02 3.5e-04 1.00e+00 1.664671790e+02 1.664799881e+02 3.0e-09 0.61 56 5.0e-06 1.1e-02 3.1e-04 1.00e+00 1.664680333e+02 1.664795614e+02 2.7e-09 0.62 57 4.5e-06 1.1e-02 2.8e-04 1.00e+00 1.664688018e+02 1.664791770e+02 2.4e-09 0.64 58 4.1e-06 1.0e-02 2.5e-04 1.00e+00 1.664694931e+02 1.664788307e+02 2.2e-09 0.64 59 3.7e-06 1.0e-02 2.3e-04 1.00e+00 1.664701149e+02 1.664785187e+02 2.0e-09 0.66 60 3.3e-06 9.9e-03 2.0e-04 1.00e+00 1.664706742e+02 1.664782377e+02 1.8e-09 0.67 61 3.0e-06 9.7e-03 1.8e-04 1.00e+00 1.664711774e+02 1.664779845e+02 1.6e-09 0.68 62 2.7e-06 9.5e-03 1.7e-04 1.00e+00 1.664716301e+02 1.664777565e+02 1.4e-09 0.69 63 2.4e-06 9.4e-03 1.5e-04 1.00e+00 1.664720374e+02 1.664775512e+02 1.3e-09 0.70 64 2.2e-06 9.2e-03 1.3e-04 1.00e+00 1.664724039e+02 1.664773663e+02 1.2e-09 0.71 65 2.0e-06 9.1e-03 1.2e-04 1.00e+00 1.664727338e+02 1.664771999e+02 1.0e-09 0.73 66 1.8e-06 9.0e-03 1.1e-04 1.00e+00 1.664730306e+02 1.664770501e+02 9.4e-10 0.74 67 1.6e-06 8.9e-03 9.8e-05 1.00e+00 1.664732977e+02 1.664769153e+02 8.5e-10 0.75 68 1.4e-06 8.8e-03 8.8e-05 1.00e+00 1.664735380e+02 1.664767939e+02 7.6e-10 0.76 69 1.3e-06 8.7e-03 7.9e-05 1.00e+00 1.664737543e+02 1.664766846e+02 6.9e-10 0.77 70 1.2e-06 8.6e-03 7.1e-05 1.00e+00 1.664739490e+02 1.664765862e+02 6.2e-10 0.78 71 1.0e-06 8.5e-03 6.4e-05 1.00e+00 1.664741241e+02 1.664764977e+02 5.6e-10 0.80 72 9.3e-07 8.4e-03 5.8e-05 1.00e+00 1.664742818e+02 1.664764180e+02 5.0e-10 0.81 73 8.4e-07 8.4e-03 5.2e-05 1.00e+00 1.664744236e+02 1.664763462e+02 4.5e-10 0.82 74 7.6e-07 8.3e-03 4.7e-05 1.00e+00 1.664745512e+02 1.664762816e+02 4.0e-10 0.83 75 6.8e-07 8.3e-03 4.2e-05 1.00e+00 1.664746661e+02 1.664762234e+02 3.6e-10 0.84 76 6.1e-07 8.2e-03 3.8e-05 1.00e+00 1.664747694e+02 1.664761710e+02 3.3e-10 0.85 77 5.5e-07 8.2e-03 3.4e-05 1.00e+00 1.664748623e+02 1.664761238e+02 3.0e-10 0.87 78 5.0e-07 8.1e-03 3.1e-05 1.00e+00 1.664749459e+02 1.664760812e+02 2.7e-10 0.88 79 4.5e-07 8.1e-03 2.8e-05 1.00e+00 1.664750211e+02 1.664760429e+02 2.4e-10 0.89 80 4.0e-07 8.0e-03 2.5e-05 1.00e+00 1.664750888e+02 1.664760084e+02 2.2e-10 0.90 81 3.6e-07 8.0e-03 2.2e-05 1.00e+00 1.664751496e+02 1.664759773e+02 1.9e-10 0.91 82 3.3e-07 8.0e-03 2.0e-05 1.00e+00 1.664752044e+02 1.664759493e+02 1.7e-10 0.92 83 2.9e-07 8.0e-03 1.8e-05 1.00e+00 1.664752536e+02 1.664759240e+02 1.6e-10 0.93 84 2.6e-07 7.9e-03 1.6e-05 1.00e+00 1.664752979e+02 1.664759013e+02 1.4e-10 0.94 85 2.4e-07 7.9e-03 1.5e-05 1.00e+00 1.664753378e+02 1.664758808e+02 1.3e-10 0.96 86 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.664753737e+02 1.664758624e+02 1.1e-10 0.97 87 1.9e-07 7.9e-03 1.2e-05 1.00e+00 1.664754059e+02 1.664758458e+02 1.0e-10 0.98 88 1.7e-07 7.8e-03 1.1e-05 1.00e+00 1.664754350e+02 1.664758309e+02 9.3e-11 0.99 89 1.6e-07 7.8e-03 9.6e-06 1.00e+00 1.664754611e+02 1.664758175e+02 8.3e-11 1.01 90 1.4e-07 7.8e-03 8.7e-06 1.00e+00 1.664754846e+02 1.664758053e+02 7.5e-11 1.02 91 1.3e-07 7.0e-03 7.8e-06 1.00e+00 1.664755058e+02 1.664757942e+02 6.8e-11 1.03 92 1.1e-07 6.3e-03 7.0e-06 1.00e+00 1.664755248e+02 1.664757844e+02 6.1e-11 1.04 93 1.0e-07 5.7e-03 6.3e-06 1.00e+00 1.664755420e+02 1.664757756e+02 5.5e-11 1.06 94 9.2e-08 5.1e-03 5.7e-06 1.00e+00 1.664755574e+02 1.664757676e+02 4.9e-11 1.07 95 8.3e-08 4.6e-03 5.1e-06 9.99e-01 1.664755713e+02 1.664757605e+02 4.4e-11 1.08 96 7.4e-08 4.1e-03 4.6e-06 1.00e+00 1.664755837e+02 1.664757541e+02 4.0e-11 1.09 97 6.7e-08 3.7e-03 4.1e-06 1.00e+00 1.664755950e+02 1.664757483e+02 3.6e-11 1.10 98 6.0e-08 3.4e-03 3.7e-06 1.00e+00 1.664756051e+02 1.664757431e+02 3.2e-11 1.11 99 5.4e-08 3.0e-03 3.4e-06 9.99e-01 1.664756142e+02 1.664757384e+02 2.9e-11 1.11 100 4.9e-08 2.7e-03 3.0e-06 1.00e+00 1.664756224e+02 1.664757342e+02 2.6e-11 1.12 101 4.4e-08 2.4e-03 2.7e-06 1.00e+00 1.664756297e+02 1.664757304e+02 2.4e-11 1.13 102 4.0e-08 2.2e-03 2.4e-06 1.00e+00 1.664756364e+02 1.664757269e+02 2.1e-11 1.14 103 3.6e-08 2.0e-03 2.2e-06 1.00e+00 1.664756424e+02 1.664757238e+02 1.9e-11 1.15 104 3.2e-08 1.8e-03 2.0e-06 1.00e+00 1.664756477e+02 1.664757210e+02 1.7e-11 1.16 105 2.9e-08 1.6e-03 1.8e-06 1.00e+00 1.664756526e+02 1.664757185e+02 1.5e-11 1.18 106 2.6e-08 1.4e-03 1.6e-06 9.97e-01 1.664756569e+02 1.664757163e+02 1.4e-11 1.19 107 2.3e-08 1.3e-03 1.4e-06 9.98e-01 1.664756608e+02 1.664757143e+02 1.3e-11 1.20 108 2.1e-08 1.2e-03 1.3e-06 9.99e-01 1.664756644e+02 1.664757125e+02 1.1e-11 1.20 109 1.9e-08 1.1e-03 1.2e-06 1.00e+00 1.664756675e+02 1.664757108e+02 1.0e-11 1.21 110 1.7e-08 9.5e-04 1.1e-06 1.00e+00 1.664756704e+02 1.664757093e+02 9.1e-12 1.22 111 1.5e-08 8.5e-04 9.5e-07 1.00e+00 1.664756730e+02 1.664757080e+02 8.2e-12 1.23 112 1.4e-08 7.7e-04 8.5e-07 9.96e-01 1.664756753e+02 1.664757068e+02 7.4e-12 1.24 113 1.2e-08 6.9e-04 7.7e-07 1.01e+00 1.664756774e+02 1.664757057e+02 6.7e-12 1.25 114 1.1e-08 6.2e-04 6.9e-07 9.97e-01 1.664756793e+02 1.664757048e+02 6.0e-12 1.26 115 1.0e-08 5.6e-04 6.2e-07 1.01e+00 1.664756810e+02 1.664757039e+02 5.4e-12 1.27 116 9.1e-09 5.0e-04 5.6e-07 1.00e+00 1.664756825e+02 1.664757031e+02 4.9e-12 1.27 117 3.7e-09 5.2e-05 5.8e-08 1.00e+00 1.664756946e+02 1.664756968e+02 5.0e-13 1.28 Optimizer terminated. Time: 1.28 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6647569465e+02 nrm: 2e+01 Viol. con: 1e-07 var: 0e+00 Dual. obj: 1.6647569678e+02 nrm: 1e+03 Viol. con: 0e+00 var: 4e-04 * End solution on dual form. * Transforming to primal solution. Solving took 1.32 seconds. Using solver 'mosek' Solving for 1748 variables. MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (312) of matrix 'A'. MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1749 Cones : 0 Scalar variables : 6101 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Freed constraints in eliminator : 472 Eliminator terminated. Eliminator started. Freed constraints in eliminator : 6 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1749 Cones : 0 Scalar variables : 6101 Matrix variables : 0 Integer variables : 0 Optimizer - threads : 8 Optimizer - solved problem : the primal Optimizer - Constraints : 868 Optimizer - Cones : 0 Optimizer - Scalar variables : 3451 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.48e+04 after factor : 1.48e+05 Factor - dense dim. : 0 flops : 2.93e+07 Factor - GP saved nzs : 3.33e+04 GP saved flops : 9.12e+05 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.6e+03 1.2e+05 0.00e+00 -1.237711052e+05 2.000000000e+00 1.0e+00 0.04 1 1.7e+03 2.6e+03 9.0e+04 -9.71e-01 -1.230327955e+05 2.618555380e+00 7.3e-01 0.05 2 8.7e+02 1.4e+03 4.7e+04 -9.59e-01 -1.207105230e+05 4.631548915e+00 3.8e-01 0.07 3 2.9e+02 4.6e+02 1.6e+04 -9.21e-01 -1.116593625e+05 2.009145839e+01 1.3e-01 0.08 4 2.9e+02 4.6e+02 1.6e+04 -7.71e-01 -1.094464055e+05 1.958106253e+03 1.3e-01 0.09 5 1.2e+02 1.9e+02 6.4e+03 -7.62e-01 -8.784887085e+04 6.286653597e+03 5.2e-02 0.09 6 2.8e+01 4.4e+01 1.5e+03 -4.45e-01 -3.521466166e+04 1.246995668e+04 1.2e-02 0.11 7 1.8e+01 2.8e+01 9.7e+02 4.59e-01 -2.555040771e+04 7.282601029e+03 8.0e-03 0.12 8 1.0e+01 1.6e+01 5.5e+02 6.44e-01 -1.530962368e+04 4.310256051e+03 4.5e-03 0.13 9 4.0e+00 6.3e+00 2.2e+02 8.15e-01 -6.206808585e+03 1.970157915e+03 1.8e-03 0.14 10 2.1e+00 3.3e+00 1.1e+02 9.47e-01 -3.076258621e+03 1.206432808e+03 9.2e-04 0.15 11 8.6e-01 1.4e+00 4.7e+01 9.86e-01 -1.172512749e+03 6.452584713e+02 3.9e-04 0.16 12 8.3e-01 1.3e+00 4.6e+01 9.58e-01 -1.152704090e+03 6.177874298e+02 3.8e-04 0.17 13 5.3e-01 8.4e-01 2.9e+01 9.71e-01 -6.979547615e+02 4.416984539e+02 2.4e-04 0.18 14 3.5e-01 5.6e-01 1.9e+01 1.00e+00 -3.846816526e+02 3.613124056e+02 1.6e-04 0.19 15 1.1e-01 2.1e-01 6.5e+00 9.97e-01 -3.287554343e+01 2.179223059e+02 5.4e-05 0.20 16 8.4e-02 1.5e-01 4.7e+00 1.02e+00 2.205475750e+01 2.043964349e+02 4.0e-05 0.21 17 5.0e-02 9.3e-02 2.8e+00 1.02e+00 8.341064309e+01 1.909653399e+02 2.4e-05 0.22 18 1.3e-02 1.6e-01 7.4e-01 1.02e+00 1.456020178e+02 1.736314114e+02 6.2e-06 0.23 19 4.1e-03 2.0e-01 2.4e-01 1.01e+00 1.597194211e+02 1.687954823e+02 2.0e-06 0.24 20 2.1e-03 2.3e-01 1.2e-01 1.01e+00 1.630439252e+02 1.676586776e+02 1.0e-06 0.25 21 6.3e-04 1.5e-01 3.8e-02 1.01e+00 1.654295900e+02 1.668596314e+02 3.2e-07 0.26 22 4.2e-04 1.1e-01 2.6e-02 9.98e-01 1.657668009e+02 1.667213273e+02 2.2e-07 0.27 23 2.5e-04 8.1e-02 1.5e-02 9.86e-01 1.660455576e+02 1.666106550e+02 1.3e-07 0.28 24 2.0e-04 6.9e-02 1.2e-02 9.99e-01 1.661253082e+02 1.665840040e+02 1.1e-07 0.29 25 1.8e-04 6.4e-02 1.1e-02 1.01e+00 1.661579659e+02 1.665705552e+02 9.5e-08 0.30 26 1.6e-04 5.8e-02 9.9e-03 1.01e+00 1.661869284e+02 1.665581251e+02 8.5e-08 0.31 27 1.5e-04 5.3e-02 8.9e-03 1.00e+00 1.662130795e+02 1.665471131e+02 7.7e-08 0.32 28 1.3e-04 4.8e-02 8.1e-03 1.00e+00 1.662365215e+02 1.665371132e+02 6.9e-08 0.33 29 1.2e-04 4.4e-02 7.2e-03 1.00e+00 1.662575651e+02 1.665280693e+02 6.2e-08 0.34 30 1.1e-04 4.0e-02 6.5e-03 1.00e+00 1.662764527e+02 1.665198850e+02 5.6e-08 0.35 31 9.5e-05 3.7e-02 5.9e-03 1.00e+00 1.662934068e+02 1.665124797e+02 5.0e-08 0.35 32 8.6e-05 3.4e-02 5.3e-03 1.00e+00 1.663086255e+02 1.665057792e+02 4.5e-08 0.36 33 7.7e-05 3.1e-02 4.8e-03 1.00e+00 1.663222870e+02 1.664997165e+02 4.1e-08 0.38 34 6.9e-05 2.9e-02 4.3e-03 1.00e+00 1.663345508e+02 1.664942311e+02 3.7e-08 0.39 35 6.2e-05 2.7e-02 3.9e-03 1.00e+00 1.663455607e+02 1.664892683e+02 3.3e-08 0.40 36 5.6e-05 2.5e-02 3.5e-03 1.00e+00 1.663554455e+02 1.664847790e+02 3.0e-08 0.40 37 5.1e-05 2.3e-02 3.1e-03 1.00e+00 1.663643208e+02 1.664807187e+02 2.7e-08 0.42 38 4.6e-05 2.2e-02 2.8e-03 1.00e+00 1.663722906e+02 1.664770470e+02 2.4e-08 0.43 39 4.1e-05 2.0e-02 2.5e-03 1.00e+00 1.663794477e+02 1.664737273e+02 2.2e-08 0.44 40 3.7e-05 1.9e-02 2.3e-03 1.00e+00 1.663858757e+02 1.664707266e+02 2.0e-08 0.44 41 3.3e-05 1.8e-02 2.0e-03 1.00e+00 1.663916493e+02 1.664680146e+02 1.8e-08 0.46 42 3.0e-05 1.7e-02 1.8e-03 1.00e+00 1.663968354e+02 1.664655639e+02 1.6e-08 0.47 43 2.7e-05 1.6e-02 1.7e-03 1.00e+00 1.664014943e+02 1.664633498e+02 1.4e-08 0.48 44 2.4e-05 1.5e-02 1.5e-03 1.00e+00 1.664056797e+02 1.664613496e+02 1.3e-08 0.49 45 2.2e-05 1.4e-02 1.3e-03 1.00e+00 1.664094400e+02 1.664595429e+02 1.2e-08 0.49 46 2.0e-05 1.4e-02 1.2e-03 1.00e+00 1.664128185e+02 1.664579112e+02 1.0e-08 0.50 47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664158542e+02 1.664564378e+02 9.4e-09 0.51 48 1.6e-05 1.3e-02 9.8e-04 1.00e+00 1.664185821e+02 1.664551074e+02 8.4e-09 0.53 49 1.4e-05 1.2e-02 8.8e-04 1.00e+00 1.664210334e+02 1.664539063e+02 7.6e-09 0.54 50 1.3e-05 1.2e-02 7.9e-04 1.00e+00 1.664232364e+02 1.664528222e+02 6.8e-09 0.54 51 1.2e-05 1.1e-02 7.2e-04 1.00e+00 1.664252163e+02 1.664518437e+02 6.1e-09 0.55 52 1.0e-05 1.1e-02 6.4e-04 1.00e+00 1.664269959e+02 1.664509607e+02 5.5e-09 0.56 53 9.4e-06 1.1e-02 5.8e-04 1.00e+00 1.664285955e+02 1.664501639e+02 5.0e-09 0.57 54 8.4e-06 1.0e-02 5.2e-04 1.00e+00 1.664300333e+02 1.664494451e+02 4.5e-09 0.58 55 7.6e-06 1.0e-02 4.7e-04 1.00e+00 1.664313259e+02 1.664487966e+02 4.0e-09 0.59 56 6.8e-06 9.9e-03 4.2e-04 1.00e+00 1.664324880e+02 1.664482118e+02 3.6e-09 0.59 57 6.2e-06 9.7e-03 3.8e-04 1.00e+00 1.664335328e+02 1.664476843e+02 3.3e-09 0.60 58 5.5e-06 9.6e-03 3.4e-04 1.00e+00 1.664344722e+02 1.664472086e+02 2.9e-09 0.61 59 5.0e-06 9.4e-03 3.1e-04 1.00e+00 1.664353168e+02 1.664467797e+02 2.6e-09 0.62 60 4.5e-06 9.3e-03 2.8e-04 1.00e+00 1.664360762e+02 1.664463929e+02 2.4e-09 0.63 61 4.0e-06 9.1e-03 2.5e-04 1.00e+00 1.664367591e+02 1.664460442e+02 2.1e-09 0.64 62 3.6e-06 9.0e-03 2.2e-04 1.00e+00 1.664373731e+02 1.664457298e+02 1.9e-09 0.65 63 3.3e-06 8.9e-03 2.0e-04 1.00e+00 1.664379253e+02 1.664454463e+02 1.7e-09 0.66 64 2.9e-06 8.8e-03 1.8e-04 1.00e+00 1.664384218e+02 1.664451908e+02 1.6e-09 0.67 65 2.6e-06 8.7e-03 1.6e-04 1.00e+00 1.664388683e+02 1.664449605e+02 1.4e-09 0.68 66 2.4e-06 8.7e-03 1.5e-04 1.00e+00 1.664392699e+02 1.664447529e+02 1.3e-09 0.68 67 2.1e-06 8.6e-03 1.3e-04 1.00e+00 1.664396311e+02 1.664445659e+02 1.1e-09 0.69 68 1.9e-06 8.5e-03 1.2e-04 1.00e+00 1.664399561e+02 1.664443974e+02 1.0e-09 0.70 69 1.7e-06 8.4e-03 1.1e-04 1.00e+00 1.664402485e+02 1.664442457e+02 9.2e-10 0.71 70 1.6e-06 8.4e-03 9.7e-05 1.00e+00 1.664405115e+02 1.664441090e+02 8.3e-10 0.72 71 1.4e-06 8.3e-03 8.7e-05 1.00e+00 1.664407481e+02 1.664439859e+02 7.5e-10 0.73 72 1.3e-06 8.3e-03 7.8e-05 1.00e+00 1.664409609e+02 1.664438750e+02 6.7e-10 0.74 73 1.1e-06 8.2e-03 7.0e-05 1.00e+00 1.664411524e+02 1.664437751e+02 6.1e-10 0.75 74 1.0e-06 8.2e-03 6.3e-05 1.00e+00 1.664413247e+02 1.664436851e+02 5.5e-10 0.76 75 9.2e-07 8.1e-03 5.7e-05 1.00e+00 1.664414797e+02 1.664436041e+02 4.9e-10 0.77 76 8.3e-07 8.1e-03 5.1e-05 1.00e+00 1.664416192e+02 1.664435311e+02 4.4e-10 0.78 77 7.5e-07 8.1e-03 4.6e-05 1.00e+00 1.664417446e+02 1.664434654e+02 4.0e-10 0.78 78 6.7e-07 8.0e-03 4.2e-05 1.00e+00 1.664418575e+02 1.664434062e+02 3.6e-10 0.79 79 6.1e-07 8.0e-03 3.7e-05 1.00e+00 1.664419590e+02 1.664433528e+02 3.2e-10 0.80 80 5.5e-07 8.0e-03 3.4e-05 1.00e+00 1.664420503e+02 1.664433048e+02 2.9e-10 0.80 81 4.9e-07 7.9e-03 3.0e-05 1.00e+00 1.664421325e+02 1.664432615e+02 2.6e-10 0.81 82 4.4e-07 7.9e-03 2.7e-05 1.00e+00 1.664422064e+02 1.664432225e+02 2.3e-10 0.82 83 4.0e-07 7.9e-03 2.5e-05 1.00e+00 1.664422728e+02 1.664431874e+02 2.1e-10 0.83 84 3.6e-07 7.9e-03 2.2e-05 1.00e+00 1.664423326e+02 1.664431558e+02 1.9e-10 0.83 85 3.2e-07 7.8e-03 2.0e-05 1.00e+00 1.664423865e+02 1.664431273e+02 1.7e-10 0.84 86 2.9e-07 7.8e-03 1.8e-05 1.00e+00 1.664424349e+02 1.664431016e+02 1.5e-10 0.85 87 2.6e-07 7.8e-03 1.6e-05 1.00e+00 1.664424785e+02 1.664430785e+02 1.4e-10 0.85 88 2.3e-07 7.8e-03 1.5e-05 1.00e+00 1.664425177e+02 1.664430577e+02 1.2e-10 0.86 89 2.1e-07 7.8e-03 1.3e-05 1.00e+00 1.664425530e+02 1.664430390e+02 1.1e-10 0.87 90 1.9e-07 7.7e-03 1.2e-05 1.00e+00 1.664425847e+02 1.664430222e+02 1.0e-10 0.87 91 1.7e-07 7.7e-03 1.1e-05 1.00e+00 1.664426133e+02 1.664430070e+02 9.1e-11 0.88 92 1.5e-07 7.7e-03 9.5e-06 1.00e+00 1.664426390e+02 1.664429934e+02 8.2e-11 0.89 93 1.4e-07 7.7e-03 8.6e-06 1.00e+00 1.664426622e+02 1.664429811e+02 7.4e-11 0.90 94 1.2e-07 7.7e-03 7.7e-06 1.00e+00 1.664426830e+02 1.664429701e+02 6.6e-11 0.90 95 1.1e-07 7.7e-03 6.9e-06 1.00e+00 1.664427018e+02 1.664429601e+02 6.0e-11 0.91 96 1.0e-07 7.7e-03 6.2e-06 1.00e+00 1.664427187e+02 1.664429512e+02 5.4e-11 0.92 97 9.1e-08 7.6e-03 5.6e-06 1.00e+00 1.664427339e+02 1.664429431e+02 4.8e-11 0.92 98 8.2e-08 7.6e-03 5.1e-06 1.00e+00 1.664427476e+02 1.664429359e+02 4.4e-11 0.93 99 7.4e-08 7.6e-03 4.6e-06 1.00e+00 1.664427599e+02 1.664429294e+02 3.9e-11 0.94 100 6.6e-08 6.9e-03 4.1e-06 1.00e+00 1.664427710e+02 1.664429234e+02 3.5e-11 0.95 101 6.0e-08 6.2e-03 3.7e-06 1.00e+00 1.664427809e+02 1.664429182e+02 3.2e-11 0.96 102 5.4e-08 5.6e-03 3.3e-06 1.00e+00 1.664427899e+02 1.664429134e+02 2.9e-11 0.97 103 4.8e-08 5.0e-03 3.0e-06 9.99e-01 1.664427980e+02 1.664429092e+02 2.6e-11 0.97 104 4.3e-08 4.5e-03 2.7e-06 1.00e+00 1.664428052e+02 1.664429053e+02 2.3e-11 0.98 105 3.9e-08 4.1e-03 2.4e-06 9.98e-01 1.664428118e+02 1.664429019e+02 2.1e-11 0.99 106 3.5e-08 3.6e-03 2.2e-06 1.00e+00 1.664428177e+02 1.664428987e+02 1.9e-11 1.00 107 3.2e-08 3.3e-03 2.0e-06 1.00e+00 1.664428230e+02 1.664428959e+02 1.7e-11 1.01 108 2.9e-08 3.0e-03 1.8e-06 1.00e+00 1.664428277e+02 1.664428934e+02 1.5e-11 1.02 109 2.6e-08 2.7e-03 1.6e-06 1.00e+00 1.664428320e+02 1.664428911e+02 1.4e-11 1.03 110 2.3e-08 2.4e-03 1.4e-06 9.97e-01 1.664428359e+02 1.664428891e+02 1.2e-11 1.04 111 2.1e-08 2.2e-03 1.3e-06 1.00e+00 1.664428394e+02 1.664428873e+02 1.1e-11 1.04 112 1.9e-08 1.9e-03 1.2e-06 9.98e-01 1.664428425e+02 1.664428857e+02 1.0e-11 1.05 113 1.7e-08 1.7e-03 1.0e-06 1.00e+00 1.664428453e+02 1.664428842e+02 9.0e-12 1.06 114 1.6e-08 1.6e-03 9.4e-07 9.77e-01 1.664428478e+02 1.664428830e+02 8.1e-12 1.07 115 1.4e-08 1.4e-03 8.4e-07 1.00e+00 1.664428501e+02 1.664428817e+02 7.3e-12 1.08 116 1.3e-08 1.3e-03 7.6e-07 9.88e-01 1.664428521e+02 1.664428807e+02 6.5e-12 1.09 117 1.2e-08 1.1e-03 6.8e-07 1.01e+00 1.664428541e+02 1.664428796e+02 5.9e-12 1.09 118 1.1e-08 1.0e-03 6.2e-07 1.00e+00 1.664428557e+02 1.664428787e+02 5.3e-12 1.10 119 9.6e-09 9.3e-04 5.5e-07 9.88e-01 1.664428572e+02 1.664428779e+02 4.8e-12 1.12 120 8.7e-09 8.3e-04 5.0e-07 9.93e-01 1.664428586e+02 1.664428772e+02 4.3e-12 1.13 121 1.9e-08 7.5e-04 4.5e-07 1.01e+00 1.664428598e+02 1.664428765e+02 3.9e-12 1.14 122 2.1e-08 6.8e-04 4.0e-07 1.01e+00 1.664428610e+02 1.664428759e+02 3.5e-12 1.15 123 1.9e-08 6.1e-04 3.6e-07 1.02e+00 1.664428620e+02 1.664428753e+02 3.2e-12 1.16 124 1.7e-08 5.5e-04 3.3e-07 1.00e+00 1.664428629e+02 1.664428748e+02 2.9e-12 1.17 125 1.5e-08 4.9e-04 2.9e-07 9.79e-01 1.664428637e+02 1.664428744e+02 2.6e-12 1.18 126 1.4e-08 4.4e-04 2.6e-07 1.02e+00 1.664428644e+02 1.664428740e+02 2.4e-12 1.19 127 1.3e-08 4.0e-04 2.4e-07 1.00e+00 1.664428650e+02 1.664428737e+02 2.1e-12 1.19 128 1.1e-08 3.6e-04 2.1e-07 1.02e+00 1.664428657e+02 1.664428734e+02 1.9e-12 1.20 129 1.1e-08 3.2e-04 1.9e-07 9.81e-01 1.664428662e+02 1.664428731e+02 1.7e-12 1.21 130 9.6e-09 2.9e-04 1.7e-07 9.92e-01 1.664428666e+02 1.664428729e+02 1.6e-12 1.22 131 8.7e-09 2.6e-04 1.6e-07 1.03e+00 1.664428671e+02 1.664428726e+02 1.4e-12 1.23 132 7.8e-09 2.4e-04 1.4e-07 9.97e-01 1.664428674e+02 1.664428724e+02 1.3e-12 1.24 133 6.9e-09 2.1e-04 1.3e-07 9.85e-01 1.664428677e+02 1.664428723e+02 1.2e-12 1.25 134 6.2e-09 1.9e-04 1.1e-07 9.94e-01 1.664428680e+02 1.664428721e+02 1.0e-12 1.26 135 5.6e-09 1.7e-04 1.0e-07 9.91e-01 1.664428683e+02 1.664428720e+02 9.3e-13 1.27 Optimizer terminated. Time: 1.27 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6644286830e+02 nrm: 2e+01 Viol. con: 2e-07 var: 0e+00 Dual. obj: 1.6644287195e+02 nrm: 1e+03 Viol. con: 0e+00 var: 1e-03 * End solution on dual form. * Transforming to primal solution. Solving took 1.31 seconds. Using solver 'mosek' Solving for 1748 variables. MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1749 Cones : 0 Scalar variables : 6101 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Freed constraints in eliminator : 472 Eliminator terminated. Eliminator started. Freed constraints in eliminator : 6 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.02 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1749 Cones : 0 Scalar variables : 6101 Matrix variables : 0 Integer variables : 0 Optimizer - threads : 8 Optimizer - solved problem : the primal Optimizer - Constraints : 868 Optimizer - Cones : 0 Optimizer - Scalar variables : 3451 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.48e+04 after factor : 1.48e+05 Factor - dense dim. : 0 flops : 2.93e+07 Factor - GP saved nzs : 3.33e+04 GP saved flops : 9.12e+05 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.6e+03 1.2e+05 0.00e+00 -1.237706206e+05 2.000000000e+00 1.0e+00 0.05 1 1.7e+03 2.6e+03 9.0e+04 -9.71e-01 -1.230321596e+05 2.618476980e+00 7.3e-01 0.06 2 8.7e+02 1.4e+03 4.7e+04 -9.59e-01 -1.207092172e+05 4.631299788e+00 3.8e-01 0.07 3 2.9e+02 4.6e+02 1.6e+04 -9.21e-01 -1.116388875e+05 2.010679045e+01 1.3e-01 0.08 4 2.9e+02 4.5e+02 1.6e+04 -7.71e-01 -1.094230997e+05 1.962291865e+03 1.3e-01 0.09 5 1.2e+02 1.9e+02 6.4e+03 -7.61e-01 -8.785793218e+04 6.263182648e+03 5.2e-02 0.10 6 2.6e+01 4.1e+01 1.4e+03 -4.45e-01 -3.316835220e+04 1.269767615e+04 1.2e-02 0.11 7 1.7e+01 2.7e+01 9.2e+02 4.98e-01 -2.422632748e+04 7.083733147e+03 7.5e-03 0.13 8 1.0e+01 1.6e+01 5.4e+02 6.67e-01 -1.518713164e+04 4.349438842e+03 4.4e-03 0.14 9 4.0e+00 6.3e+00 2.2e+02 8.16e-01 -6.253806240e+03 1.985800338e+03 1.8e-03 0.15 10 2.1e+00 3.3e+00 1.1e+02 9.46e-01 -3.093879792e+03 1.203594049e+03 9.3e-04 0.16 11 8.4e-01 1.3e+00 4.6e+01 9.86e-01 -1.145500547e+03 6.338782408e+02 3.8e-04 0.17 12 8.2e-01 1.3e+00 4.5e+01 9.50e-01 -1.137960646e+03 6.093711314e+02 3.7e-04 0.18 13 5.2e-01 8.3e-01 2.9e+01 9.70e-01 -6.844600457e+02 4.368156380e+02 2.4e-04 0.19 14 3.3e-01 5.4e-01 1.9e+01 1.00e+00 -3.665602888e+02 3.537892051e+02 1.5e-04 0.20 15 1.1e-01 2.0e-01 6.3e+00 9.97e-01 -2.732814371e+01 2.163541368e+02 5.3e-05 0.22 16 8.4e-02 1.5e-01 4.7e+00 1.02e+00 2.245602987e+01 2.054082491e+02 4.0e-05 0.23 17 4.4e-02 9.1e-02 2.5e+00 1.02e+00 9.404505834e+01 1.878214886e+02 2.1e-05 0.24 18 1.5e-02 8.6e-02 8.4e-01 1.02e+00 1.425020548e+02 1.744453424e+02 7.1e-06 0.25 19 6.8e-03 7.5e-02 3.9e-01 1.01e+00 1.551720364e+02 1.698416553e+02 3.3e-06 0.26 20 1.6e-03 1.6e-01 9.8e-02 1.01e+00 1.637887523e+02 1.674579832e+02 8.2e-07 0.27 21 9.3e-04 1.1e-01 5.6e-02 9.78e-01 1.649100104e+02 1.670143929e+02 4.7e-07 0.28 22 2.9e-04 1.1e-01 1.8e-02 9.88e-01 1.659434069e+02 1.666331473e+02 1.6e-07 0.29 23 1.3e-04 9.3e-02 8.0e-03 1.01e+00 1.662132718e+02 1.665137253e+02 6.9e-08 0.30 24 1.1e-04 8.6e-02 7.2e-03 1.01e+00 1.662362811e+02 1.665066924e+02 6.2e-08 0.31 25 1.0e-04 7.8e-02 6.5e-03 1.01e+00 1.662550118e+02 1.664982554e+02 5.6e-08 0.32 26 9.1e-05 7.1e-02 5.9e-03 1.01e+00 1.662720854e+02 1.664909344e+02 5.1e-08 0.33 27 8.2e-05 6.4e-02 5.3e-03 1.01e+00 1.662873803e+02 1.664842821e+02 4.6e-08 0.34 28 7.4e-05 5.9e-02 4.7e-03 1.01e+00 1.663011123e+02 1.664782724e+02 4.1e-08 0.35 29 6.6e-05 5.3e-02 4.3e-03 1.01e+00 1.663134330e+02 1.664728330e+02 3.7e-08 0.36 30 6.0e-05 4.9e-02 3.8e-03 1.01e+00 1.663244890e+02 1.664679121e+02 3.3e-08 0.36 31 5.4e-05 4.5e-02 3.5e-03 1.01e+00 1.663344111e+02 1.664634611e+02 3.0e-08 0.37 32 4.8e-05 4.1e-02 3.1e-03 1.01e+00 1.663433169e+02 1.664594363e+02 2.7e-08 0.38 33 4.4e-05 3.8e-02 2.8e-03 1.01e+00 1.663513115e+02 1.664557980e+02 2.4e-08 0.38 34 3.9e-05 3.5e-02 2.5e-03 1.01e+00 1.663584889e+02 1.664525096e+02 2.2e-08 0.39 35 3.5e-05 3.2e-02 2.3e-03 1.01e+00 1.663649336e+02 1.664495382e+02 2.0e-08 0.40 36 3.2e-05 3.0e-02 2.0e-03 1.00e+00 1.663707209e+02 1.664468536e+02 1.8e-08 0.40 37 2.9e-05 2.7e-02 1.8e-03 1.00e+00 1.663759184e+02 1.664444285e+02 1.6e-08 0.41 38 2.6e-05 2.5e-02 1.7e-03 1.00e+00 1.663805867e+02 1.664422382e+02 1.4e-08 0.42 39 2.3e-05 2.4e-02 1.5e-03 1.00e+00 1.663847800e+02 1.664402602e+02 1.3e-08 0.42 40 2.1e-05 2.2e-02 1.3e-03 1.00e+00 1.663885470e+02 1.664384742e+02 1.2e-08 0.43 41 1.9e-05 2.1e-02 1.2e-03 1.00e+00 1.663919312e+02 1.664368618e+02 1.0e-08 0.44 42 1.7e-05 1.9e-02 1.1e-03 1.00e+00 1.663949719e+02 1.664354061e+02 9.4e-09 0.45 43 1.5e-05 1.8e-02 9.8e-04 1.00e+00 1.663977039e+02 1.664340922e+02 8.5e-09 0.46 44 1.4e-05 1.7e-02 8.8e-04 1.00e+00 1.664001590e+02 1.664329064e+02 7.6e-09 0.47 45 1.2e-05 1.6e-02 7.9e-04 1.00e+00 1.664023653e+02 1.664318363e+02 6.9e-09 0.47 46 1.1e-05 1.6e-02 7.1e-04 1.00e+00 1.664043481e+02 1.664308707e+02 6.2e-09 0.48 47 1.0e-05 1.5e-02 6.4e-04 1.00e+00 1.664061303e+02 1.664299996e+02 5.6e-09 0.49 48 9.0e-06 1.4e-02 5.8e-04 1.00e+00 1.664077322e+02 1.664292138e+02 5.0e-09 0.50 49 8.1e-06 1.4e-02 5.2e-04 1.00e+00 1.664091722e+02 1.664285050e+02 4.5e-09 0.51 50 7.3e-06 1.3e-02 4.7e-04 1.00e+00 1.664104668e+02 1.664278658e+02 4.1e-09 0.52 51 6.5e-06 1.2e-02 4.2e-04 1.00e+00 1.664116306e+02 1.664272894e+02 3.6e-09 0.53 52 5.9e-06 1.2e-02 3.8e-04 1.00e+00 1.664126770e+02 1.664267697e+02 3.3e-09 0.53 53 5.3e-06 1.2e-02 3.4e-04 1.00e+00 1.664136179e+02 1.664263011e+02 3.0e-09 0.54 54 4.8e-06 1.1e-02 3.1e-04 1.00e+00 1.664144640e+02 1.664258787e+02 2.7e-09 0.55 55 4.3e-06 1.1e-02 2.8e-04 1.00e+00 1.664152247e+02 1.664254979e+02 2.4e-09 0.56 56 3.9e-06 1.1e-02 2.5e-04 1.00e+00 1.664159088e+02 1.664251546e+02 2.2e-09 0.56 57 3.5e-06 1.0e-02 2.2e-04 1.00e+00 1.664165240e+02 1.664248452e+02 1.9e-09 0.57 58 3.1e-06 1.0e-02 2.0e-04 1.00e+00 1.664170772e+02 1.664245662e+02 1.7e-09 0.58 59 2.8e-06 1.0e-02 1.8e-04 1.00e+00 1.664175747e+02 1.664243148e+02 1.6e-09 0.59 60 2.5e-06 9.8e-03 1.6e-04 1.00e+00 1.664180222e+02 1.664240883e+02 1.4e-09 0.60 61 2.3e-06 9.7e-03 1.5e-04 1.00e+00 1.664184247e+02 1.664238842e+02 1.3e-09 0.61 62 2.1e-06 9.5e-03 1.3e-04 1.00e+00 1.664187868e+02 1.664237003e+02 1.1e-09 0.62 63 1.8e-06 9.4e-03 1.2e-04 1.00e+00 1.664191125e+02 1.664235347e+02 1.0e-09 0.63 64 1.7e-06 9.2e-03 1.1e-04 1.00e+00 1.664194056e+02 1.664233856e+02 9.3e-10 0.64 65 1.5e-06 9.1e-03 9.6e-05 1.00e+00 1.664196692e+02 1.664232513e+02 8.3e-10 0.65 66 1.3e-06 9.0e-03 8.7e-05 1.00e+00 1.664199064e+02 1.664231303e+02 7.5e-10 0.66 67 1.2e-06 8.9e-03 7.8e-05 1.00e+00 1.664201198e+02 1.664230213e+02 6.8e-10 0.66 68 1.1e-06 8.8e-03 7.0e-05 1.00e+00 1.664203118e+02 1.664229232e+02 6.1e-10 0.67 69 9.8e-07 8.7e-03 6.3e-05 1.00e+00 1.664204846e+02 1.664228348e+02 5.5e-10 0.68 70 8.8e-07 8.6e-03 5.7e-05 1.00e+00 1.664206400e+02 1.664227552e+02 4.9e-10 0.69 71 8.0e-07 8.6e-03 5.1e-05 1.00e+00 1.664207798e+02 1.664226835e+02 4.4e-10 0.70 72 7.2e-07 8.5e-03 4.6e-05 1.00e+00 1.664209056e+02 1.664226189e+02 4.0e-10 0.71 73 6.4e-07 8.4e-03 4.2e-05 1.00e+00 1.664210187e+02 1.664225608e+02 3.6e-10 0.71 74 5.8e-07 8.4e-03 3.7e-05 1.00e+00 1.664211205e+02 1.664225084e+02 3.2e-10 0.72 75 5.2e-07 8.3e-03 3.4e-05 1.00e+00 1.664212121e+02 1.664224611e+02 2.9e-10 0.73 76 4.7e-07 8.3e-03 3.0e-05 1.00e+00 1.664212945e+02 1.664224186e+02 2.6e-10 0.74 77 4.2e-07 8.2e-03 2.7e-05 1.00e+00 1.664213686e+02 1.664223803e+02 2.4e-10 0.75 78 3.8e-07 8.2e-03 2.5e-05 1.00e+00 1.664214352e+02 1.664223458e+02 2.1e-10 0.76 79 3.4e-07 8.1e-03 2.2e-05 1.00e+00 1.664214952e+02 1.664223147e+02 1.9e-10 0.77 80 3.1e-07 8.1e-03 2.0e-05 1.00e+00 1.664215491e+02 1.664222867e+02 1.7e-10 0.78 81 2.8e-07 8.1e-03 1.8e-05 1.00e+00 1.664215977e+02 1.664222615e+02 1.5e-10 0.78 82 2.5e-07 8.0e-03 1.6e-05 1.00e+00 1.664216413e+02 1.664222387e+02 1.4e-10 0.79 83 2.2e-07 8.0e-03 1.4e-05 1.00e+00 1.664216806e+02 1.664222183e+02 1.3e-10 0.81 84 2.0e-07 8.0e-03 1.3e-05 1.00e+00 1.664217160e+02 1.664221999e+02 1.1e-10 0.81 85 1.8e-07 7.9e-03 1.2e-05 1.00e+00 1.664217478e+02 1.664221833e+02 1.0e-10 0.82 86 1.6e-07 7.9e-03 1.1e-05 1.00e+00 1.664217764e+02 1.664221684e+02 9.1e-11 0.83 87 1.5e-07 7.9e-03 9.5e-06 1.00e+00 1.664218022e+02 1.664221550e+02 8.2e-11 0.85 88 1.3e-07 7.9e-03 8.6e-06 1.00e+00 1.664218254e+02 1.664221429e+02 7.4e-11 0.86 89 1.2e-07 7.8e-03 7.7e-06 1.00e+00 1.664218463e+02 1.664221320e+02 6.7e-11 0.87 90 1.1e-07 7.8e-03 6.9e-06 1.00e+00 1.664218650e+02 1.664221222e+02 6.0e-11 0.88 91 9.7e-08 7.8e-03 6.2e-06 1.00e+00 1.664218819e+02 1.664221134e+02 5.4e-11 0.89 92 8.7e-08 7.8e-03 5.6e-06 1.00e+00 1.664218971e+02 1.664221055e+02 4.9e-11 0.91 93 7.8e-08 7.8e-03 5.1e-06 1.00e+00 1.664219108e+02 1.664220983e+02 4.4e-11 0.92 94 7.1e-08 7.8e-03 4.5e-06 1.00e+00 1.664219231e+02 1.664220919e+02 3.9e-11 0.93 95 6.4e-08 7.7e-03 4.1e-06 1.00e+00 1.664219342e+02 1.664220861e+02 3.5e-11 0.94 96 5.7e-08 7.0e-03 3.7e-06 1.00e+00 1.664219443e+02 1.664220807e+02 3.2e-11 0.95 97 5.1e-08 6.3e-03 3.3e-06 1.00e+00 1.664219532e+02 1.664220760e+02 2.9e-11 0.96 98 4.6e-08 5.6e-03 3.0e-06 1.00e+00 1.664219613e+02 1.664220718e+02 2.6e-11 0.97 99 4.2e-08 5.1e-03 2.7e-06 9.99e-01 1.664219686e+02 1.664220680e+02 2.3e-11 0.98 100 3.8e-08 4.6e-03 2.4e-06 1.00e+00 1.664219751e+02 1.664220646e+02 2.1e-11 0.98 101 3.4e-08 4.1e-03 2.2e-06 9.99e-01 1.664219810e+02 1.664220616e+02 1.9e-11 0.99 102 3.0e-08 3.7e-03 2.0e-06 1.00e+00 1.664219863e+02 1.664220588e+02 1.7e-11 1.00 103 2.7e-08 3.3e-03 1.8e-06 9.97e-01 1.664219910e+02 1.664220564e+02 1.5e-11 1.01 104 2.5e-08 3.0e-03 1.6e-06 1.00e+00 1.664219953e+02 1.664220542e+02 1.4e-11 1.01 105 2.2e-08 2.7e-03 1.4e-06 9.98e-01 1.664219992e+02 1.664220521e+02 1.2e-11 1.02 106 2.0e-08 2.4e-03 1.3e-06 1.00e+00 1.664220027e+02 1.664220503e+02 1.1e-11 1.03 107 1.8e-08 2.2e-03 1.2e-06 1.00e+00 1.664220058e+02 1.664220487e+02 1.0e-11 1.04 108 1.6e-08 2.0e-03 1.0e-06 1.00e+00 1.664220086e+02 1.664220472e+02 9.0e-12 1.04 109 1.5e-08 1.8e-03 9.4e-07 9.97e-01 1.664220112e+02 1.664220459e+02 8.1e-12 1.05 110 1.3e-08 1.6e-03 8.4e-07 1.00e+00 1.664220134e+02 1.664220447e+02 7.3e-12 1.06 111 1.2e-08 1.4e-03 7.6e-07 9.96e-01 1.664220155e+02 1.664220437e+02 6.6e-12 1.07 112 1.1e-08 1.3e-03 6.8e-07 9.99e-01 1.664220173e+02 1.664220427e+02 5.9e-12 1.07 113 9.6e-09 1.2e-03 6.1e-07 9.97e-01 1.664220190e+02 1.664220418e+02 5.3e-12 1.08 114 8.6e-09 1.0e-03 5.5e-07 9.91e-01 1.664220205e+02 1.664220410e+02 4.8e-12 1.09 115 7.8e-09 9.4e-04 5.0e-07 1.01e+00 1.664220219e+02 1.664220403e+02 4.3e-12 1.09 116 7.0e-09 8.5e-04 4.5e-07 9.92e-01 1.664220231e+02 1.664220397e+02 3.9e-12 1.10 117 1.4e-08 7.6e-04 4.0e-07 1.02e+00 1.664220242e+02 1.664220394e+02 3.5e-12 1.11 118 2.0e-08 6.9e-04 3.6e-07 9.99e-01 1.664220252e+02 1.664220387e+02 3.2e-12 1.11 119 1.8e-08 6.2e-04 3.3e-07 1.01e+00 1.664220261e+02 1.664220382e+02 2.9e-12 1.12 120 3.3e-08 5.6e-04 2.9e-07 9.98e-01 1.664220268e+02 1.664220382e+02 2.6e-12 1.13 121 2.2e-08 5.0e-04 2.6e-07 9.99e-01 1.664220276e+02 1.664220373e+02 2.3e-12 1.14 122 2.0e-08 4.5e-04 2.4e-07 1.01e+00 1.664220282e+02 1.664220370e+02 2.1e-12 1.14 123 1.8e-08 4.1e-04 2.1e-07 1.00e+00 1.664220288e+02 1.664220367e+02 1.9e-12 1.15 124 1.7e-08 3.7e-04 1.9e-07 1.02e+00 1.664220294e+02 1.664220364e+02 1.7e-12 1.16 125 1.5e-08 3.3e-04 1.7e-07 1.01e+00 1.664220298e+02 1.664220361e+02 1.5e-12 1.17 126 1.3e-08 3.0e-04 1.6e-07 1.00e+00 1.664220303e+02 1.664220359e+02 1.4e-12 1.18 127 1.2e-08 2.7e-04 1.4e-07 9.96e-01 1.664220306e+02 1.664220357e+02 1.2e-12 1.19 128 1.1e-08 2.4e-04 1.3e-07 1.01e+00 1.664220310e+02 1.664220355e+02 1.1e-12 1.19 129 9.9e-09 2.2e-04 1.1e-07 1.00e+00 1.664220313e+02 1.664220354e+02 1.0e-12 1.20 130 1.0e-09 2.2e-05 1.2e-08 1.00e+00 1.664220337e+02 1.664220341e+02 1.0e-13 1.21 Optimizer terminated. Time: 1.21 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6642203368e+02 nrm: 2e+01 Viol. con: 2e-08 var: 0e+00 Dual. obj: 1.6642203410e+02 nrm: 1e+03 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 1.25 seconds. Using solver 'mosek' Solving for 1748 variables. MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (312) of matrix 'A'. MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1749 Cones : 0 Scalar variables : 6101 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Freed constraints in eliminator : 472 Eliminator terminated. Eliminator started. Freed constraints in eliminator : 6 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1749 Cones : 0 Scalar variables : 6101 Matrix variables : 0 Integer variables : 0 Optimizer - threads : 8 Optimizer - solved problem : the primal Optimizer - Constraints : 868 Optimizer - Cones : 0 Optimizer - Scalar variables : 3451 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.02 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.01 Factor - nonzeros before factor : 1.48e+04 after factor : 1.48e+05 Factor - dense dim. : 0 flops : 2.93e+07 Factor - GP saved nzs : 3.33e+04 GP saved flops : 9.12e+05 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.6e+03 1.2e+05 0.00e+00 -1.237697757e+05 2.000000000e+00 1.0e+00 0.03 1 1.7e+03 2.6e+03 9.0e+04 -9.71e-01 -1.230310708e+05 2.618658392e+00 7.3e-01 0.04 2 8.7e+02 1.4e+03 4.7e+04 -9.59e-01 -1.207072283e+05 4.631967602e+00 3.8e-01 0.04 3 2.9e+02 4.6e+02 1.6e+04 -9.21e-01 -1.116239239e+05 2.011668198e+01 1.3e-01 0.05 4 2.9e+02 4.5e+02 1.6e+04 -7.71e-01 -1.094044853e+05 1.966473714e+03 1.3e-01 0.07 5 1.2e+02 1.9e+02 6.4e+03 -7.61e-01 -8.784053867e+04 6.251650733e+03 5.2e-02 0.08 6 2.6e+01 4.1e+01 1.4e+03 -4.45e-01 -3.306603809e+04 1.270142506e+04 1.2e-02 0.09 7 1.7e+01 2.7e+01 9.1e+02 4.99e-01 -2.410345416e+04 7.059532995e+03 7.5e-03 0.10 8 9.9e+00 1.6e+01 5.4e+02 6.69e-01 -1.509576583e+04 4.325329085e+03 4.4e-03 0.11 9 3.9e+00 6.2e+00 2.1e+02 8.17e-01 -6.165428475e+03 1.962599328e+03 1.8e-03 0.12 10 2.0e+00 3.2e+00 1.1e+02 9.46e-01 -3.034895445e+03 1.193153232e+03 9.1e-04 0.13 11 8.5e-01 1.3e+00 4.7e+01 9.86e-01 -1.168555856e+03 6.294711099e+02 3.9e-04 0.14 12 8.2e-01 1.3e+00 4.5e+01 9.51e-01 -1.158089507e+03 6.045830226e+02 3.8e-04 0.15 13 5.2e-01 8.3e-01 2.9e+01 9.70e-01 -6.910803073e+02 4.348560115e+02 2.4e-04 0.16 14 3.3e-01 5.3e-01 1.8e+01 1.00e+00 -3.582552166e+02 3.500458516e+02 1.5e-04 0.17 15 1.1e-01 2.0e-01 6.2e+00 9.97e-01 -2.527655392e+01 2.158431403e+02 5.2e-05 0.18 16 8.3e-02 1.5e-01 4.7e+00 1.02e+00 2.363102125e+01 2.049700552e+02 3.9e-05 0.19 17 4.1e-02 8.8e-02 2.3e+00 1.02e+00 9.799313343e+01 1.868005351e+02 1.9e-05 0.20 18 1.1e-02 1.7e-01 6.3e-01 1.02e+00 1.487956591e+02 1.727754642e+02 5.3e-06 0.21 19 3.5e-03 2.0e-01 2.1e-01 1.01e+00 1.605532700e+02 1.683301713e+02 1.7e-06 0.22 20 1.3e-03 1.4e-01 8.0e-02 1.01e+00 1.642277735e+02 1.672301862e+02 6.8e-07 0.23 21 8.8e-04 1.0e-01 5.3e-02 9.84e-01 1.649840636e+02 1.669558345e+02 4.5e-07 0.23 22 2.6e-04 1.1e-01 1.7e-02 9.86e-01 1.659721215e+02 1.665916548e+02 1.4e-07 0.24 23 9.3e-05 1.1e-01 6.0e-03 1.01e+00 1.662531933e+02 1.664754263e+02 5.2e-08 0.25 24 3.5e-05 1.0e-01 2.3e-03 1.01e+00 1.663489963e+02 1.664340420e+02 2.0e-08 0.26 25 1.6e-05 8.4e-02 1.1e-03 1.00e+00 1.663808103e+02 1.664201668e+02 9.4e-09 0.27 26 1.5e-05 7.7e-02 9.6e-04 1.00e+00 1.663840618e+02 1.664194962e+02 8.4e-09 0.27 27 1.3e-05 7.0e-02 8.6e-04 1.01e+00 1.663864463e+02 1.664183305e+02 7.6e-09 0.28 28 1.2e-05 6.3e-02 7.7e-04 1.00e+00 1.663886321e+02 1.664173227e+02 6.8e-09 0.29 29 1.1e-05 5.8e-02 7.0e-04 1.00e+00 1.663905903e+02 1.664164076e+02 6.2e-09 0.30 30 9.6e-06 5.3e-02 6.3e-04 1.00e+00 1.663923512e+02 1.664155833e+02 5.5e-09 0.30 31 8.7e-06 4.8e-02 5.6e-04 1.00e+00 1.663939340e+02 1.664148400e+02 5.0e-09 0.31 32 7.8e-06 4.4e-02 5.1e-04 1.00e+00 1.663953569e+02 1.664141700e+02 4.5e-09 0.32 33 7.0e-06 4.1e-02 4.6e-04 1.00e+00 1.663966362e+02 1.664135660e+02 4.0e-09 0.33 34 6.3e-06 3.7e-02 4.1e-04 1.00e+00 1.663977864e+02 1.664130217e+02 3.6e-09 0.34 35 5.7e-06 3.5e-02 3.7e-04 1.00e+00 1.663988207e+02 1.664125312e+02 3.3e-09 0.35 36 5.1e-06 3.2e-02 3.3e-04 1.00e+00 1.663997507e+02 1.664120891e+02 2.9e-09 0.35 37 4.6e-06 2.9e-02 3.0e-04 1.00e+00 1.664005870e+02 1.664116908e+02 2.6e-09 0.36 38 4.1e-06 2.7e-02 2.7e-04 1.00e+00 1.664013391e+02 1.664113318e+02 2.4e-09 0.37 39 3.7e-06 2.5e-02 2.4e-04 1.00e+00 1.664020155e+02 1.664110084e+02 2.1e-09 0.37 40 3.4e-06 2.4e-02 2.2e-04 1.00e+00 1.664026238e+02 1.664107169e+02 1.9e-09 0.38 41 3.0e-06 2.2e-02 2.0e-04 1.00e+00 1.664031708e+02 1.664104542e+02 1.7e-09 0.39 42 2.7e-06 2.1e-02 1.8e-04 1.00e+00 1.664036628e+02 1.664102176e+02 1.6e-09 0.40 43 2.4e-06 1.9e-02 1.6e-04 1.00e+00 1.664041053e+02 1.664100044e+02 1.4e-09 0.40 44 2.2e-06 1.8e-02 1.4e-04 1.00e+00 1.664045034e+02 1.664098124e+02 1.3e-09 0.41 45 2.0e-06 1.7e-02 1.3e-04 1.00e+00 1.664048615e+02 1.664096395e+02 1.1e-09 0.42 46 1.8e-06 1.6e-02 1.2e-04 1.00e+00 1.664051837e+02 1.664094838e+02 1.0e-09 0.42 47 1.6e-06 1.5e-02 1.0e-04 1.00e+00 1.664054736e+02 1.664093436e+02 9.2e-10 0.43 48 1.4e-06 1.5e-02 9.4e-05 1.00e+00 1.664057344e+02 1.664092173e+02 8.3e-10 0.45 49 1.3e-06 1.4e-02 8.5e-05 1.00e+00 1.664059691e+02 1.664091036e+02 7.5e-10 0.45 50 1.2e-06 1.3e-02 7.6e-05 1.00e+00 1.664061802e+02 1.664090012e+02 6.7e-10 0.46 51 1.1e-06 1.3e-02 6.9e-05 1.00e+00 1.664063701e+02 1.664089090e+02 6.1e-10 0.47 52 9.5e-07 1.2e-02 6.2e-05 1.00e+00 1.664065410e+02 1.664088260e+02 5.5e-10 0.48 53 8.5e-07 1.2e-02 5.6e-05 1.00e+00 1.664066948e+02 1.664087512e+02 4.9e-10 0.49 54 7.7e-07 1.1e-02 5.0e-05 1.00e+00 1.664068331e+02 1.664086839e+02 4.4e-10 0.50 55 6.9e-07 1.1e-02 4.5e-05 1.00e+00 1.664069575e+02 1.664086232e+02 4.0e-10 0.50 56 6.2e-07 1.1e-02 4.1e-05 1.00e+00 1.664070695e+02 1.664085686e+02 3.6e-10 0.51 57 5.6e-07 1.0e-02 3.7e-05 1.00e+00 1.664071702e+02 1.664085194e+02 3.2e-10 0.52 58 5.0e-07 1.0e-02 3.3e-05 1.00e+00 1.664072608e+02 1.664084750e+02 2.9e-10 0.53 59 4.5e-07 9.9e-03 3.0e-05 1.00e+00 1.664073423e+02 1.664084351e+02 2.6e-10 0.54 60 4.1e-07 9.7e-03 2.7e-05 1.00e+00 1.664074156e+02 1.664083991e+02 2.4e-10 0.54 61 3.7e-07 9.5e-03 2.4e-05 1.00e+00 1.664074815e+02 1.664083667e+02 2.1e-10 0.55 62 3.3e-07 9.3e-03 2.2e-05 1.00e+00 1.664075408e+02 1.664083374e+02 1.9e-10 0.56 63 3.0e-07 9.2e-03 1.9e-05 1.00e+00 1.664075942e+02 1.664083111e+02 1.7e-10 0.56 64 2.7e-07 9.0e-03 1.7e-05 1.00e+00 1.664076422e+02 1.664082874e+02 1.5e-10 0.57 65 2.4e-07 8.9e-03 1.6e-05 1.00e+00 1.664076853e+02 1.664082661e+02 1.4e-10 0.58 66 2.2e-07 8.8e-03 1.4e-05 1.00e+00 1.664077242e+02 1.664082469e+02 1.2e-10 0.58 67 2.0e-07 8.7e-03 1.3e-05 1.00e+00 1.664077592e+02 1.664082296e+02 1.1e-10 0.59 68 1.8e-07 8.6e-03 1.1e-05 1.00e+00 1.664077906e+02 1.664082140e+02 1.0e-10 0.60 69 1.6e-07 8.5e-03 1.0e-05 1.00e+00 1.664078190e+02 1.664082000e+02 9.1e-11 0.60 70 1.4e-07 8.4e-03 9.3e-06 1.00e+00 1.664078444e+02 1.664081874e+02 8.2e-11 0.61 71 1.3e-07 8.3e-03 8.4e-06 1.00e+00 1.664078674e+02 1.664081760e+02 7.4e-11 0.62 72 1.2e-07 8.2e-03 7.5e-06 1.00e+00 1.664078880e+02 1.664081658e+02 6.6e-11 0.62 73 1.0e-07 8.2e-03 6.8e-06 1.00e+00 1.664079065e+02 1.664081567e+02 6.0e-11 0.63 74 9.3e-08 8.1e-03 6.1e-06 1.00e+00 1.664079232e+02 1.664081484e+02 5.4e-11 0.64 75 8.4e-08 8.1e-03 5.5e-06 1.00e+00 1.664079383e+02 1.664081409e+02 4.8e-11 0.65 76 7.6e-08 8.0e-03 4.9e-06 1.00e+00 1.664079518e+02 1.664081342e+02 4.4e-11 0.65 77 6.8e-08 8.0e-03 4.4e-06 1.00e+00 1.664079640e+02 1.664081281e+02 3.9e-11 0.66 78 6.1e-08 7.9e-03 4.0e-06 1.00e+00 1.664079750e+02 1.664081227e+02 3.5e-11 0.67 79 5.5e-08 7.9e-03 3.6e-06 1.00e+00 1.664079848e+02 1.664081178e+02 3.2e-11 0.67 80 5.0e-08 7.9e-03 3.2e-06 1.00e+00 1.664079937e+02 1.664081134e+02 2.9e-11 0.68 81 4.5e-08 7.9e-03 2.9e-06 1.00e+00 1.664080017e+02 1.664081094e+02 2.6e-11 0.69 82 4.0e-08 7.8e-03 2.6e-06 1.00e+00 1.664080089e+02 1.664081058e+02 2.3e-11 0.70 83 3.6e-08 7.8e-03 2.4e-06 1.00e+00 1.664080153e+02 1.664081026e+02 2.1e-11 0.71 84 3.3e-08 7.8e-03 2.1e-06 1.00e+00 1.664080212e+02 1.664080997e+02 1.9e-11 0.71 85 2.9e-08 7.8e-03 1.9e-06 1.00e+00 1.664080264e+02 1.664080970e+02 1.7e-11 0.72 86 2.6e-08 7.7e-03 1.7e-06 1.00e+00 1.664080311e+02 1.664080947e+02 1.5e-11 0.73 87 2.4e-08 7.7e-03 1.5e-06 9.99e-01 1.664080354e+02 1.664080926e+02 1.4e-11 0.74 88 2.1e-08 7.7e-03 1.4e-06 1.00e+00 1.664080392e+02 1.664080907e+02 1.2e-11 0.75 89 1.9e-08 7.7e-03 1.3e-06 1.00e+00 1.664080426e+02 1.664080890e+02 1.1e-11 0.76 90 1.7e-08 7.6e-03 1.1e-06 9.93e-01 1.664080457e+02 1.664080875e+02 1.0e-11 0.77 91 1.6e-08 7.6e-03 1.0e-06 9.96e-01 1.664080485e+02 1.664080861e+02 9.0e-12 0.77 92 1.4e-08 7.6e-03 9.1e-07 1.00e+00 1.664080510e+02 1.664080848e+02 8.1e-12 0.78 93 1.3e-08 6.8e-03 8.2e-07 1.01e+00 1.664080533e+02 1.664080837e+02 7.3e-12 0.79 94 1.2e-08 6.2e-03 7.4e-07 9.98e-01 1.664080553e+02 1.664080827e+02 6.6e-12 0.80 95 1.0e-08 5.5e-03 6.7e-07 9.97e-01 1.664080571e+02 1.664080818e+02 5.9e-12 0.80 96 9.4e-09 5.0e-03 6.0e-07 9.95e-01 1.664080588e+02 1.664080810e+02 5.3e-12 0.81 97 8.4e-09 4.5e-03 5.4e-07 1.00e+00 1.664080603e+02 1.664080802e+02 4.8e-12 0.82 98 7.5e-09 4.0e-03 4.9e-07 9.83e-01 1.664080616e+02 1.664080795e+02 4.3e-12 0.82 99 6.8e-09 3.6e-03 4.4e-07 9.99e-01 1.664080628e+02 1.664080789e+02 3.9e-12 0.83 100 6.1e-09 3.3e-03 3.9e-07 1.02e+00 1.664080639e+02 1.664080784e+02 3.5e-12 0.84 101 5.5e-09 2.9e-03 3.5e-07 1.01e+00 1.664080649e+02 1.664080779e+02 3.2e-12 0.84 102 4.9e-09 2.6e-03 3.2e-07 1.02e+00 1.664080658e+02 1.664080774e+02 2.9e-12 0.85 103 4.4e-09 2.4e-03 2.9e-07 1.01e+00 1.664080666e+02 1.664080770e+02 2.6e-12 0.86 104 4.0e-09 2.1e-03 2.6e-07 1.04e+00 1.664080674e+02 1.664080765e+02 2.4e-12 0.86 105 3.7e-09 1.9e-03 2.3e-07 1.00e+00 1.664080680e+02 1.664080763e+02 2.1e-12 0.87 106 3.3e-09 1.7e-03 2.1e-07 1.04e+00 1.664080687e+02 1.664080759e+02 2.0e-12 0.88 107 2.9e-09 1.6e-03 1.9e-07 9.99e-01 1.664080692e+02 1.664080757e+02 1.8e-12 0.89 108 2.6e-09 1.4e-03 1.7e-07 9.99e-01 1.664080696e+02 1.664080755e+02 1.6e-12 0.89 109 2.4e-09 1.3e-03 1.5e-07 1.00e+00 1.664080700e+02 1.664080753e+02 1.4e-12 0.90 110 2.2e-09 1.1e-03 1.4e-07 1.00e+00 1.664080704e+02 1.664080751e+02 1.3e-12 0.91 111 1.9e-09 1.0e-03 1.2e-07 1.01e+00 1.664080707e+02 1.664080749e+02 1.2e-12 0.91 112 1.7e-09 9.2e-04 1.1e-07 9.94e-01 1.664080710e+02 1.664080748e+02 1.0e-12 0.92 113 1.6e-09 8.3e-04 1.0e-07 1.00e+00 1.664080712e+02 1.664080747e+02 9.5e-13 0.93 Optimizer terminated. Time: 0.93 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6640807123e+02 nrm: 2e+01 Viol. con: 2e-08 var: 0e+00 Dual. obj: 1.6640807466e+02 nrm: 1e+03 Viol. con: 0e+00 var: 5e-03 * End solution on dual form. * Transforming to primal solution. Solving took 0.952 seconds. Solving took 9 GP solves and 17.8 seconds. Solves with these variables bounded: value near lower bound: Mission.CruiseAlt value near upper bound: Mission.Aircraft.HorizontalTail.WingBox.M_{r_{out}}, Mission.Aircraft.Engine.Thrust.\alpha_{max}, Mission.Aircraft.Wing.WingNoStruct.A_{tri}, Mission.TotalTime, Mission.Aircraft.LandingGear.d_{nacelle}, Mission.T_{t_{4.1_{max-Cruise}}} Checking for relaxed constants... Solution check warning: Primal solution computed cost did not match solver-returned cost: 1.495742457694431e+110 vs 1.4956976656e+110 GP iteration 0 has relaxed constants Cost ---- 1.496e+110 Free Variables -------------- | Mission.Aircraft.Engine.Turbine.Relax C_{p_{t2}} : 2.251 Cp Value for Combustion Products in LP Turbine | Mission.Aircraft.Fuselage.Relax l_{nose} : 1.042 Nose length n_{pass} : [ 2.86 ] Number of passengers | Mission.Aircraft.Relax f_{L_{total/wing}} : 1.656 Total lift as a percentage of wing lift | Mission.Aircraft.Wing.WingNoStruct.Relax \tan(\Lambda) : 1.133 Tangent of quarter-chord sweep angle | Mission.FlightState.Atmosphere.Relax L_{atm} : [ 1.77 1 1 1 1 ] Temperature lapse rate T_{sl} : [ 1 1 1.25 1 1 ] Temperature at sea level | Mission.Relax R_{req} : 2.362 Required Cruise Range GP iteration 1 has relaxed constants Cost ---- 7.486e+74 Free Variables -------------- | Mission.Aircraft.Engine.Combustor.Relax hold_{4a} : 1.093 1+(gamma-1)/2 * M_4a**2 | Mission.Aircraft.Fuselage.Relax n_{pass} : [ 1.03 ] Number of passengers | Mission.Aircraft.LandingGear.Relax h_{hold} : 1.006 Hold height Solution check warning: Primal solution computed cost did not match solver-returned cost: 3.7050980759335926e+72 vs 3.70502020539e+72 WEIGHT DIFFERENCES Total Fuel Weight Percent Diff: [-92.94682113] Total Aircraft Weight Percent Diff: [-21.48054877] Engine Weight Percent Diff: -56.278166751133654 Fuselage Weight Percent Diff: -0.8697062242189039 Payload Weight Percent Diff: [-0.04003553] VT Weight Percent Diff: -8.607369318686331 HT Weight Percent Diff: -93.23322032086058 Wing Weight Percent Diff: 8.26743549310153 WING DIFFERENCES Wing Span Percent Diff: -0.029997996845333903 Wing Area Percent Diff: 32.90022842687177 HORIZONTAL TAIL DIFFERENCES HT Area Percent Diff: 40.489576650137494 VERTICAL TAIL DIFFERENCES VT Span Percent Diff: -11.022306825728005 VT Area Percent Diff: -60.38680571118094 CRUISE SEGMENT 1 DRAG DIFFERENCES Overall Cd Percent Diff: [-18.54737792] L/D Percent Diff: [24.01020217] Nacelle Cd Percent Diff: [-94.27640436] HT Cd Percent Diff: [-80.76934841] dimensionless Fuselage Cd Percent Diff: [108.78752887] VT Cd Percent Diff: [-58.00304986] dimensionless Wing Cd percent Diff: [-14.22936117] Induced Drag Cd Percent Diff: [1.21931584] CRUISE SEGMENT 1 TSFC DIFFERENCES Initial Cruise TSFC Percent Diff: [-90.57035921] FUSELAGE DIFFERENCES Weight of HB material: -38.35923841364424 Weight of VB material: 87.8307550215667 Fan Propulsive Efficiency in Cruise Segment 1 --------------------- [0.71260527] Mission1 ======== Cost ---- W_{f_{total}}[:].sum() Constraints ----------- W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin} PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:]) x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:]) x_{CG}[3] <= \Delta x_n + x_n \Delta x_m + x_{CG}[3] >= x_m \tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m C_{D_{fuse}}[:] = 0.018081 M_{fuseD} = 0.72 W_{start}[0] = W_{total}[:] W_{start}[:] >= W_{end}[:] + W_{burn}[:] W_{start}[1:] = W_{end}[:4] W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1] W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2] W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1] hft[2] >= CruiseAlt hft[1:5] = hft[:4] + dhft[1:5] hft[0] = dhft[0] dhft[1:3] = dhft[:2] RC[0] >= 2.5e+03 RC[:3] >= RC_{min}[:3] \theta[2] >= 0.015 hft[2] >= MinCruiseAlt n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:] R_{segment}[3:4] = R_{segment}[4:5] M[3:5] >= M_{min} 0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req} Fsafetyfac*F[0] = T_e W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:] V_2[:] = M_2[:]*a[:] \alpha_{max,w}[:3] = 0.18 \alpha_{max,w}[3:] = 0.1 0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime 0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime ClimbTime <= MaxClimbTime T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}} F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 OPR[:] <= OPR_{max} Aircraft Fuselage W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on} W_{pass}[:] >= n_{pass}[:]*W_{avg. pass} W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo} W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}} W_{payload}[:] <= W_{payload_{max}} n_{pass}[:] <= n_{seat} n_{rows} = n_{seat}/SPR l_{shell} = n_{rows}*p_s \theta_{db} = w_{db}/R_{fuse} R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db} A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db} (PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse} A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin} w_{floor} = w_{fuse} R_{fuse} + w_{db} >= w_{fuse} h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse} t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell} S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2 S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2 l_{fuse} = l_{nose} + l_{shell} + l_{cone} l_{cone} = R_{fuse}/\lambda_{cone} x_{shell1} = l_{nose} x_{shell2} >= l_{nose} + l_{shell} t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin} t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin} \sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell}) \sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin} l_{floor} >= l_{shell} + 2*R_{fuse} P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat}) A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor} V_{floor} = 2*w_{floor}*A_{floor} W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor} \tau_{cone} = \sigma_{skin} W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame}) x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone} -2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}} (PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}} x_{hbend_{Land}} >= x_{wing} x_{hbend_{Land}} <= l_{fuse} x_{hbend_{MLF}} >= x_{wing} x_{hbend_{MLF}} <= l_{fuse} A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}}) A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}}) A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h}) A_{2h_{MLF}} >= Mission1.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h}) A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2) A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}} A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}} A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}} A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}} A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}} A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}} A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}} A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}} V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c} V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c} V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}} W_{hbend} >= g*\rho_{bend}*V_{hbend} x_{vbend} >= x_{wing} x_{vbend} <= l_{fuse} B_{0v} = B_{1v}*(x_{tail} - x_{vbend}) B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2) B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}} 0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}} V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission1.Aircraft.Fuselage.r_{w/c} V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}} W_{vbend} >= \rho_{bend}*g*V_{vbend} x_f = x_{wing} + 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c} x_b = x_{wing} - 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c} \sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h} \sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v} V_{cyl} = A_{skin}*l_{shell} V_{nose} = S_{nose}*t_{skin} V_{bulk} = S_{bulk}*t_{skin} V_{db} = A_{db}*l_{shell} V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse}) W_{apu} = W_{payload_{max}}*f_{apu} W_{db} = \rho_{skin}*g*V_{db} W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk}) W_{window} >= W'_{window}*l_{shell} W_{padd} = W_{payload_{max}}*f_{padd} W_{seat} >= W'_{seat}*n_{seat} W_{seat} >= f_{seat}*W_{payload_{max}} W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk}) W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db} W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone}) Wing WingNoStruct A_{rect} = c_{tip}*b 0.5*(1 - \lambda)*c_{root}*b <= A_{tri} p >= 1 + 2*\lambda 2*q >= 1 + p y_{mac} = b/3*q/p mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q \lambda = c_{tip}/c_{root} S = b*(c_{root} + c_{tip})/2 0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w) e*(1 + f(\lambda_w)*AR) <= 1 \lambda >= 0.15 V_{fuel, max} <= 0.303*mac^2*b*\tau W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g b <= b_{max} WingBox AR = b^2/S 0.423*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5) \tau <= \tau_{max_w} W_{struct} >= W_{web} + W_{cap} AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5) Mission1.Aircraft.Wing.WingBox.N_{lift} = 3 Mission1.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8 \lambda = taper W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt}) 0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}} Engine Compressor (no constraints) Combustor (no constraints) Turbine (no constraints) Thrust (no constraints) FanMap (no constraints) LPCMap (no constraints) HPCMap (no constraints) Sizing A_{2} >= A_{5} + A_{7} FlightState V[:] = V[:] a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5 V[:] = M[:]*a[:] Altitude h[:] = hft[:] Atmosphere (P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:] \rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:]) T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:] \mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72) EnginePerformance CompressorPerformance T_{t_0}[:] = T_{atm}[:]/c1[:]^-1 h_{t_0}[:] = C_{p_{air}*T_{t_0}[:] P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:] T_{t_{1.8}}[:] = T_{t_0}[:] h_{t_{1.8}}[:] = h_{t_0}[:] P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5 T_{T_{2}}[:] = T_{t_{1.8}}[:] h_{T_{2}}[:] = h_{t_{1.8}}[:] P_{T_{2}}[:] = P_{t_{1.8}}[:] P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:] T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016 h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:] P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:] T_{t_7}[:] = T_{t_{2.1}}[:] h_{t_7}[:] = h_{t_{2.1}}[:] P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:] T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152 h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1} P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:] T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491 h_{t_3}[:] = C_{p_{2}*T_{t_3}[:] CombustorPerformance h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:] h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:] fp1[:] = f[:] + 1 M_{4a}[:] = 0.1025 fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5 T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]] P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891 u_{4a}[:] = M_{4a}[:]*(1.31*Mission1.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a} u_c[:] = r_{uc}*u_{4a}[:] P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891 TurbinePerformance h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:] P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:] \pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565 h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:] P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:] T_{t_5}[:] = T_{t_{4.9}}[:] h_{t_5}[:] = h_{t_{4.9}}[:] ThrustPerformance P_{8}[:] = P_{atm}[:] h_{8}[:] = C_{p_{fex}*T_{8}[:] u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:] (P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:] h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:] P_{6}[:] = P_{atm}[:] (P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:] u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:] h_6[:] = C_{p_{tex}*T_{6}[:] h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:] \alpha[:] = m_{fan}[:]/m_{core}[:] \alpha_{+1}[:] = \alpha[:] + 1 \alpha[:] <= \alpha_{max} F[:] <= F_{6}[:] + F_{8}[:] F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:]) TSFC[:] = 1/I_{sp}[:] F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:] FanMapPerformance m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}} LPCMapPerformance m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D} HPCMapPerformance m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D} SizingPerformance P_{7}[:] >= P_{atm}[:] M_7[:] <= 1 a_{7}[:] = (1.4*Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5 a_{7}[:]*M_7[:] = u_{7}[:] \rho_7[:] = P_{7}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:]) P_{5}[:] >= P_{atm}[:] M_5[:] <= 1 a_{5}[:] = (1.39*Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5 a_{5}[:]*M_5[:] = u_{5}[:] \rho_5[:] = P_{5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:]) h_{2}[:] = C_{p_{1}*T_{2}[:] \rho_{2}[:] = P_{2}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:]) u_{2}[:] = M_2[:]*(C_{p_{1}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:]/781)^0.5 h_{2.5}[:] = C_{p_{2}*T_{2.5}[:] \rho_{2.5}[:] = P_{2.5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]) u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/781)^0.5 m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine} d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5 d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5 \eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]]) h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:] P_{t_4}[:] = \pi_{b}*P_{t_3}[:] M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]] M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]]) P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:] \pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013 \pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10 \pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10 \pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10 m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref}) \pi_{f}[:] >= 1 \pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10 \pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10 \pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10 \pi_{lc}[:] >= 1 m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref}) \pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10 \pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10 \pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10 m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref}) \pi_{hc}[:] >= 1 OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:] P_{t_8}[:] = P_{t_7}[:] T_{t_8}[:] = T_{t_7}[:] P_{t_6}[:] = P_{t_5}[:] T_{t_6}[:] = T_{t_5}[:] F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:] I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g) N_{f}[:]*G_{f} = N_{1}[:] N_{1}[:] <= 1.1 N_{2}[:] <= 1.1 fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD} fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD} P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5 (T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2 P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979 (T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2 M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:] m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:] m_{total}[:] = m_{fan}[:] + m_{core}[:] P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512 T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1 m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2} P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857 T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1 m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5} 1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD} 0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD} 1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD} 0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD} m_{lc_D} >= 0.7*m_{coreD}/0.649 m_{lc_D} <= 1.3*m_{coreD}/0.649 m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23 m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23 \bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405 \bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405 F[:] = F_{spec}[:] T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}} OPR[:] <= OPR_{max} VerticalTail VerticalTailNoStruct C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}} L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}} c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt})) A_{vt} = b_{vt}^2/S_{vt} b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt} p_{vt} >= 1 + 2*\lambda_{vt} 2*q_{vt} >= 1 + p_{vt} y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt} z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt} 0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt} \lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}} \Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}} \Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt} \lambda_{vt} >= 0.25 V_{vt} >= V_{vt_{min}} WingBox AR_{vt} = (2*b_{vt})^2/(2*S_{vt}) 0.423*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5) \tau_{vt} <= 0.14 W_{struct} >= 0.5*(W_{web} + W_{cap}) Mission1.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24 AR_{vt}*2*L_{vt_{max}}*Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5) Mission1.Aircraft.VerticalTail.WingBox.N_{lift} = 1 Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*Mission1.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8 \lambda_{vt} = taper W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT}) HorizontalTail HorizontalTailNoStruct \Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht} \Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}} p_{ht} >= 1 + 2*\lambda_{ht} 2*q_{ht} >= 1 + p_{ht} y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht} 0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht} \lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}} S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2 0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht}) e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1 AR_{ht} = b_{ht}^2/S_{ht} \lambda_{ht} >= 0.2 \lambda_{ht} <= 1 WingBox AR_{ht} = b_{ht}^2/S_{ht} 0.423*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5) \tau_{ht} <= 0.14 W_{struct} >= W_{web} + W_{cap} L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2 L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht}) 2*AR_{ht}*L_{shear}*Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5) Mission1.Aircraft.HorizontalTail.WingBox.N_{lift} = 1 Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission1.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8 L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht} L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}} W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht}) LandingGear l_n + z_{wing} + y_m*\tan(\gamma) >= l_m T = 2*y_m x_m >= x_n + B x_n >= 5 \tan(\phi) = \tan(\phi_{min}) (z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1 \tan(\psi) <= \tan(\psi_{max}) x_{up} - x_m <= l_m/\tan(\theta_{max}) y_m >= l_m S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG}) l_{oleo} = 2.5*S_{sa} d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5 l_m >= l_{oleo} + d_{t_m}/2 F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in]) W_{wa,m} = 1.2*F_{w_m}^0.609 F_{w_n} = L_{w_n}*d_{t_n}/1e+03 W_{wa,n} = 1.2*F_{w_n}^0.609 L_{w_m} = L_m/(n_{mg}*n_{wps}) L_{w_n} = L_n/n_{wps} d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315 w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48 d_{t_n} = 0.8*d_{t_m} w_{t_n} = 0.8*w_{t_m} W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m W_{mw} = n_{wps}*W_{wa,m} W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g \sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}}) W_{nw} >= n_{wps}*W_{wa,n} L_m <= 9.87*E*I_m/(K*l_m)^2 I_m = PI*r_m^3*t_m L_n <= 9.87*E*I_n/(K*l_n)^2 I_n = PI*r_n^3*t_n 2*r_m/t_m <= 40 2*r_m/t_n <= 40 h_{hold} >= 2*w_{t_m} + 2*r_m 0.8 >= 2*w_{t_n} + 2*r_n W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m})) W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n}) W_{lg} >= C_{lg}*(W_{mg} + W_{ng}) W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m x_m >= x_{CG_{lg}} c_{root} = c_0 Mission1.Aircraft.Wing.WingBox.r_{w/c} = Mission1.Aircraft.Fuselage.r_{w/c} x_w = x_{wing} Mission1.Aircraft.Fuselage.N_{lift} = Mission1.Aircraft.Wing.WingBox.N_{lift} f_{L_{total/wing}}*L_{max} >= Mission1.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}} W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc} W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:] W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:] W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:] W_{total}[:] <= W_{total, max} f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}} W_{misc} >= W_{lg} + W_{hpesys} W_{hpesys} = f_{hpesys}*W_{total, max} x_n <= l_{nose} x_m >= x_{wing} \Delta x_{AC_{wing}} + x_{wing} >= x_m x_{hpesys} = 1.1*l_{nose} x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys} d_{nacelle} >= d_{f} + 2*t_{nacelle} E_{land} >= W_{total, max}/(2*g)*w_{ult}^2 x_{up} = x_{shell2} L_n = W_{total, max}*\Delta x_m/B L_m = W_{total, max}*\Delta x_n/B L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max} y_{eng} >= y_m 3*n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}} V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse} W_{tail} >= n_{vt}*W_{vt} + W_{ht} 2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db} B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v}) m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht} x_{CG_{ht}} <= l_{fuse} V_{ht} = S_{ht}*l_{ht}/(S*mac) L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}} L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}} x_{CG_{vt}} <= l_{fuse} V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b) n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max} n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng} D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}} I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:] I_{z}[:] <= I_{z, max} S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2 l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}} f_{S_{nacelle}} = S_{nacelle}*S^-1 A_{inlet} = 0.4*S_{nacelle} A_{fancowl} = 0.2*S_{nacelle} A_{exh} = 0.4*S_{nacelle} A_{corecowl} = 3PI*d_{LPC}^2 W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl}) W_{eadd} = f_{eadd}*W_{engine} W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon} W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine}) y_{eng} = 0.5*w_{fuse} (L_{max} - Mission1.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission1.Aircraft.Wing.WingBox.M_r*c_{root} A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend}) A_{1h_{MLF}} >= (Mission1.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h}) I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16) I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81 I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81) x_{shell2} + l_{cone} >= x_{eng} x_{eng} >= x_{shell2} + 0.75*l_{cone} S_{floor} = 0.312*P_{floor} M_{floor} = 0.0352*P_{floor}*w_{floor} \Delta R_{fuse} = R_{fuse}*0.43/1.75 b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2 b_{ht_{out}} = 0.5*b_{ht} - w_{fuse} L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}} M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}} L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}} c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach} \pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht}) FlightSegment FlightState V[:] = V[:] a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5 V[:] = M[:]*a[:] Altitude h[:] = hft[:] Atmosphere (P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:] \rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:]) T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:] \mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72) FlightP P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:] RC[:] = P_{excess}[:]/W_{avg}[:] \theta[:]*V[:] = RC[:] dhft[:] = tmin[:]*RC[:] R_{segment}[:] = thr[:]*V[:] WingPerformance 0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:] \Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:] \Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2 (AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2 C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:] \alpha_w[:] <= \alpha_{max,w}[:] D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:] C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:] C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR) Re_w[:] = \rho[:]*V[:]*mac/\mu[:] C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114 FuselagePerformance (no constraints) VerticalTailPerformance D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:] Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:] C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577 HorizontalTailPerformance L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:] C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:] \alpha_{ht}[:] <= \alpha_{ht,max} C_{L_{\alpha,ht_0}}[:] = 6.28 D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:] C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht}) Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:] C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852 W_{burn}[:] = W_{burn}[:] F_{fuel}[:] = F_{fuel}[:] \rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:]) P_{cabin}[:] = 7.5e+04 T_{cabin}[:] = 297 V[:] >= V_{stall}[:] W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:] tmin[:] = thr[:] L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:] L_{total}[:] = f_{L_{total/wing}}*L_w[:] L_{total}[:] >= W_{avg}[:] + L_{ht}[:] D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2 D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:]) C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S) L/D[:] = W_{avg}[:]/D[:] W_{Load}[:] <= W_{Load_{max}}[:] W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S p_{o}[:] >= L_w[:]*c_{root}/S \eta_{o}[:] = w_{fuse}/(b/2) x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:] c_{m_{w}}[:] = 1.9 x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2) x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse} x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}} x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}} C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht} AR_{ht} >= 4 C_{L_{ht}}[:] >= 0.01 SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac SM[:] >= SM_{min} SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}} x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:] R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:] C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2 V_{nacelle}[:] = r_{v_{nacelle}}*V[:] V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]] r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0) C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0 D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S \Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}} M_2[:3] = M[:3] M_{2.5}[:3] = 0.6 hold_{2}[:3] = 1.07164 hold_{2.5}[:3] = 1.06372 P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:] c1[:] = 1 + 0.201*M[:]^2.0 M_2[3:] = M[3:] M_{2.5}[3:] = 0.6 hold_{2}[3:] = 1.07164 hold_{2.5}[3:] = 1.06372 Beginning signomial solve. Using solver 'mosek' Solving for 1748 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1749 Cones : 0 Scalar variables : 6101 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Freed constraints in eliminator : 471 Eliminator terminated. Eliminator started. Freed constraints in eliminator : 6 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1749 Cones : 0 Scalar variables : 6101 Matrix variables : 0 Integer variables : 0 Optimizer - threads : 8 Optimizer - solved problem : the primal Optimizer - Constraints : 869 Optimizer - Cones : 0 Optimizer - Scalar variables : 3451 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.48e+04 after factor : 1.46e+05 Factor - dense dim. : 0 flops : 2.87e+07 Factor - GP saved nzs : 3.32e+04 GP saved flops : 9.06e+05 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.1e+03 1.2e+05 0.00e+00 -1.225677090e+05 2.000000000e+00 1.0e+00 0.04 1 1.6e+03 2.1e+03 8.4e+04 -9.71e-01 -1.216848616e+05 2.766603376e+00 6.9e-01 0.05 2 8.2e+02 1.1e+03 4.4e+04 -9.57e-01 -1.192284454e+05 5.074629256e+00 3.6e-01 0.06 3 2.9e+02 3.9e+02 1.6e+04 -9.16e-01 -1.104950334e+05 2.156321042e+01 1.3e-01 0.07 4 2.9e+02 3.9e+02 1.6e+04 -7.68e-01 -1.085357608e+05 1.724066982e+03 1.3e-01 0.08 5 1.1e+02 1.5e+02 6.0e+03 -7.59e-01 -8.496747542e+04 6.645584441e+03 4.9e-02 0.08 6 3.8e+01 5.0e+01 2.0e+03 -4.14e-01 -4.573108853e+04 1.064008602e+04 1.7e-02 0.09 7 2.0e+01 2.7e+01 1.1e+03 2.50e-01 -2.853524473e+04 6.956951010e+03 9.0e-03 0.10 8 9.4e+00 1.3e+01 5.1e+02 5.70e-01 -1.401680654e+04 4.219068590e+03 4.2e-03 0.11 9 4.7e+00 6.4e+00 2.6e+02 8.27e-01 -7.046366663e+03 2.497942694e+03 2.1e-03 0.12 10 1.4e+00 1.9e+00 7.8e+01 9.33e-01 -2.013352976e+03 9.403827672e+02 6.4e-04 0.13 11 6.4e-01 8.6e-01 3.5e+01 9.93e-01 -6.804485566e+02 6.596896968e+02 2.9e-04 0.13 12 4.8e-01 6.5e-01 2.6e+01 9.96e-01 -4.518204661e+02 5.573058292e+02 2.2e-04 0.14 13 3.5e-01 7.3e-01 1.9e+01 9.80e-01 -2.686036694e+02 4.735665754e+02 1.6e-04 0.15 14 1.7e-01 3.6e-01 9.5e+00 9.96e-01 -1.706351213e+00 3.632401846e+02 7.9e-05 0.16 15 5.7e-02 1.5e-01 3.2e+00 9.94e-01 1.663588588e+02 2.900324402e+02 2.7e-05 0.17 16 3.3e-02 1.3e-01 1.9e+00 1.00e+00 2.025528074e+02 2.744117059e+02 1.6e-05 0.18 17 5.1e-03 1.9e-01 3.2e-01 1.00e+00 2.450077405e+02 2.572047198e+02 2.8e-06 0.20 18 1.5e-03 1.3e-01 9.4e-02 1.00e+00 2.510860215e+02 2.546831567e+02 8.5e-07 0.20 19 4.8e-04 1.1e-01 3.1e-02 1.00e+00 2.528335324e+02 2.540184841e+02 2.8e-07 0.21 20 2.1e-04 8.8e-02 1.3e-02 1.00e+00 2.533175848e+02 2.538309261e+02 1.2e-07 0.22 21 1.9e-04 8.0e-02 1.2e-02 1.00e+00 2.533556918e+02 2.538177109e+02 1.1e-07 0.23 22 1.7e-04 7.3e-02 1.1e-02 1.00e+00 2.533889178e+02 2.538047106e+02 9.9e-08 0.23 23 1.5e-04 6.6e-02 9.8e-03 1.00e+00 2.534188561e+02 2.537930533e+02 9.0e-08 0.24 24 1.4e-04 6.0e-02 8.8e-03 1.00e+00 2.534457755e+02 2.537825390e+02 8.1e-08 0.25 25 1.2e-04 5.5e-02 7.9e-03 1.00e+00 2.534699859e+02 2.537730615e+02 7.3e-08 0.26 26 1.1e-04 5.0e-02 7.1e-03 1.00e+00 2.534917592e+02 2.537645177e+02 6.5e-08 0.27 27 1.0e-04 4.6e-02 6.4e-03 1.00e+00 2.535113429e+02 2.537568176e+02 5.9e-08 0.28 28 9.0e-05 4.2e-02 5.8e-03 1.00e+00 2.535289580e+02 2.537498787e+02 5.3e-08 0.28 29 8.1e-05 3.9e-02 5.2e-03 1.00e+00 2.535448032e+02 2.537436266e+02 4.8e-08 0.29 30 7.3e-05 3.6e-02 4.7e-03 1.00e+00 2.535590570e+02 2.537379938e+02 4.3e-08 0.30 31 6.6e-05 3.3e-02 4.2e-03 1.00e+00 2.535718796e+02 2.537329193e+02 3.9e-08 0.31 32 5.9e-05 3.0e-02 3.8e-03 1.00e+00 2.535834151e+02 2.537283480e+02 3.5e-08 0.31 33 5.3e-05 2.8e-02 3.4e-03 1.00e+00 2.535937929e+02 2.537242304e+02 3.1e-08 0.32 34 4.8e-05 2.6e-02 3.1e-03 1.00e+00 2.536031295e+02 2.537205215e+02 2.8e-08 0.33 35 4.3e-05 2.4e-02 2.8e-03 1.00e+00 2.536115294e+02 2.537171809e+02 2.5e-08 0.33 36 3.9e-05 2.2e-02 2.5e-03 1.00e+00 2.536190868e+02 2.537141721e+02 2.3e-08 0.34 37 3.5e-05 2.1e-02 2.2e-03 1.00e+00 2.536258864e+02 2.537114623e+02 2.0e-08 0.35 38 3.1e-05 2.0e-02 2.0e-03 1.00e+00 2.536320042e+02 2.537090219e+02 1.8e-08 0.35 39 2.8e-05 1.8e-02 1.8e-03 1.00e+00 2.536375087e+02 2.537068241e+02 1.7e-08 0.36 40 2.5e-05 1.7e-02 1.6e-03 1.00e+00 2.536424614e+02 2.537048450e+02 1.5e-08 0.37 41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536469178e+02 2.537030627e+02 1.3e-08 0.37 42 2.1e-05 1.6e-02 1.3e-03 1.00e+00 2.536509277e+02 2.537014579e+02 1.2e-08 0.38 43 1.9e-05 1.5e-02 1.2e-03 1.00e+00 2.536545358e+02 2.537000129e+02 1.1e-08 0.39 44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536577825e+02 2.536987118e+02 9.8e-09 0.40 45 1.5e-05 1.3e-02 9.6e-04 1.00e+00 2.536607040e+02 2.536975404e+02 8.8e-09 0.40 46 1.3e-05 1.3e-02 8.7e-04 1.00e+00 2.536633330e+02 2.536964857e+02 7.9e-09 0.41 47 1.2e-05 1.2e-02 7.8e-04 1.00e+00 2.536656987e+02 2.536955361e+02 7.1e-09 0.42 48 1.1e-05 1.2e-02 7.0e-04 1.00e+00 2.536678276e+02 2.536946813e+02 6.4e-09 0.43 49 9.8e-06 1.1e-02 6.3e-04 1.00e+00 2.536697434e+02 2.536939118e+02 5.8e-09 0.44 50 8.9e-06 1.1e-02 5.7e-04 1.00e+00 2.536714675e+02 2.536932190e+02 5.2e-09 0.45 51 8.0e-06 1.1e-02 5.1e-04 1.00e+00 2.536730190e+02 2.536925954e+02 4.7e-09 0.46 52 7.2e-06 1.0e-02 4.6e-04 1.00e+00 2.536744152e+02 2.536920340e+02 4.2e-09 0.46 53 6.5e-06 1.0e-02 4.1e-04 1.00e+00 2.536756717e+02 2.536915286e+02 3.8e-09 0.47 54 5.8e-06 9.8e-03 3.7e-04 1.00e+00 2.536768025e+02 2.536910737e+02 3.4e-09 0.48 55 5.2e-06 9.6e-03 3.4e-04 1.00e+00 2.536778201e+02 2.536906643e+02 3.1e-09 0.48 56 4.7e-06 9.4e-03 3.0e-04 1.00e+00 2.536787359e+02 2.536902957e+02 2.8e-09 0.49 57 4.2e-06 9.2e-03 2.7e-04 1.00e+00 2.536795600e+02 2.536899639e+02 2.5e-09 0.50 58 3.8e-06 9.0e-03 2.5e-04 1.00e+00 2.536803017e+02 2.536896652e+02 2.2e-09 0.51 59 3.4e-06 8.9e-03 2.2e-04 1.00e+00 2.536809692e+02 2.536893963e+02 2.0e-09 0.52 60 3.1e-06 8.8e-03 2.0e-04 1.00e+00 2.536815699e+02 2.536891543e+02 1.8e-09 0.52 61 1.2e-06 3.4e-03 7.7e-05 1.00e+00 2.536848849e+02 2.536878177e+02 7.0e-10 0.53 62 1.1e-06 3.0e-03 6.9e-05 1.00e+00 2.536850944e+02 2.536877339e+02 6.3e-10 0.54 63 3.8e-07 1.1e-03 2.5e-05 1.00e+00 2.536863010e+02 2.536872470e+02 2.3e-10 0.55 64 3.5e-07 9.8e-04 2.2e-05 1.00e+00 2.536863685e+02 2.536872198e+02 2.0e-10 0.56 65 3.1e-07 8.8e-04 2.0e-05 1.00e+00 2.536864291e+02 2.536871953e+02 1.8e-10 0.57 66 2.8e-07 7.9e-04 1.8e-05 1.00e+00 2.536864836e+02 2.536871733e+02 1.7e-10 0.57 67 2.5e-07 7.1e-04 1.6e-05 1.00e+00 2.536865328e+02 2.536871534e+02 1.5e-10 0.58 68 2.3e-07 6.4e-04 1.5e-05 1.00e+00 2.536865770e+02 2.536871356e+02 1.3e-10 0.59 69 2.0e-07 5.8e-04 1.3e-05 1.00e+00 2.536866167e+02 2.536871195e+02 1.2e-10 0.60 70 1.8e-07 5.2e-04 1.2e-05 1.00e+00 2.536866525e+02 2.536871050e+02 1.1e-10 0.61 71 1.7e-07 4.7e-04 1.1e-05 1.00e+00 2.536866848e+02 2.536870920e+02 9.8e-11 0.62 72 1.5e-07 4.2e-04 9.6e-06 1.00e+00 2.536867138e+02 2.536870803e+02 8.8e-11 0.62 73 1.3e-07 3.8e-04 8.6e-06 1.00e+00 2.536867399e+02 2.536870697e+02 7.9e-11 0.63 74 1.2e-07 3.4e-04 7.8e-06 1.00e+00 2.536867634e+02 2.536870602e+02 7.1e-11 0.64 75 1.1e-07 3.1e-04 7.0e-06 1.00e+00 2.536867845e+02 2.536870517e+02 6.4e-11 0.65 76 9.8e-08 2.8e-04 6.3e-06 1.00e+00 2.536868035e+02 2.536870440e+02 5.8e-11 0.66 77 8.8e-08 2.5e-04 5.7e-06 1.00e+00 2.536868206e+02 2.536870371e+02 5.2e-11 0.67 78 7.9e-08 2.2e-04 5.1e-06 1.00e+00 2.536868360e+02 2.536870308e+02 4.7e-11 0.68 79 7.1e-08 2.0e-04 4.6e-06 1.00e+00 2.536868499e+02 2.536870252e+02 4.2e-11 0.69 80 6.4e-08 1.8e-04 4.1e-06 1.00e+00 2.536868624e+02 2.536870202e+02 3.8e-11 0.70 81 5.8e-08 1.6e-04 3.7e-06 1.00e+00 2.536868736e+02 2.536870156e+02 3.4e-11 0.70 82 5.2e-08 1.5e-04 3.3e-06 1.00e+00 2.536868837e+02 2.536870115e+02 3.1e-11 0.71 83 4.7e-08 1.3e-04 3.0e-06 1.00e+00 2.536868928e+02 2.536870078e+02 2.8e-11 0.72 84 4.2e-08 1.2e-04 2.7e-06 1.00e+00 2.536869010e+02 2.536870045e+02 2.5e-11 0.73 85 3.8e-08 1.1e-04 2.4e-06 1.00e+00 2.536869084e+02 2.536870015e+02 2.2e-11 0.74 86 3.4e-08 9.7e-05 2.2e-06 1.00e+00 2.536869150e+02 2.536869988e+02 2.0e-11 0.75 87 3.1e-08 8.7e-05 2.0e-06 1.00e+00 2.536869210e+02 2.536869964e+02 1.8e-11 0.76 88 2.8e-08 7.8e-05 1.8e-06 9.99e-01 2.536869263e+02 2.536869943e+02 1.6e-11 0.76 89 2.5e-08 7.0e-05 1.6e-06 1.00e+00 2.536869312e+02 2.536869923e+02 1.5e-11 0.77 90 2.2e-08 6.3e-05 1.4e-06 1.00e+00 2.536869355e+02 2.536869905e+02 1.3e-11 0.78 91 2.0e-08 5.7e-05 1.3e-06 1.00e+00 2.536869394e+02 2.536869889e+02 1.2e-11 0.79 92 1.8e-08 5.1e-05 1.2e-06 9.99e-01 2.536869429e+02 2.536869875e+02 1.1e-11 0.80 93 1.6e-08 4.6e-05 1.0e-06 1.00e+00 2.536869461e+02 2.536869862e+02 9.6e-12 0.81 94 1.5e-08 4.2e-05 9.4e-07 1.00e+00 2.536869490e+02 2.536869851e+02 8.6e-12 0.81 95 1.3e-08 3.7e-05 8.5e-07 9.99e-01 2.536869515e+02 2.536869840e+02 7.8e-12 0.82 96 1.2e-08 3.4e-05 7.7e-07 9.98e-01 2.536869538e+02 2.536869831e+02 7.0e-12 0.83 97 1.1e-08 3.0e-05 6.9e-07 9.99e-01 2.536869559e+02 2.536869822e+02 6.3e-12 0.84 Optimizer terminated. Time: 0.84 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 2.5368695593e+02 nrm: 4e+01 Viol. con: 2e-07 var: 0e+00 Dual. obj: 2.5368698225e+02 nrm: 8e+02 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 0.876 seconds. Using solver 'mosek' Solving for 1748 variables. MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1749 Cones : 0 Scalar variables : 6101 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Freed constraints in eliminator : 471 Eliminator terminated. Eliminator started. Freed constraints in eliminator : 6 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1749 Cones : 0 Scalar variables : 6101 Matrix variables : 0 Integer variables : 0 Optimizer - threads : 8 Optimizer - solved problem : the primal Optimizer - Constraints : 870 Optimizer - Cones : 0 Optimizer - Scalar variables : 3453 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.48e+04 after factor : 1.47e+05 Factor - dense dim. : 0 flops : 2.89e+07 Factor - GP saved nzs : 3.32e+04 GP saved flops : 9.06e+05 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.1e+03 1.2e+05 0.00e+00 -1.222298263e+05 2.000000000e+00 1.0e+00 0.04 1 1.6e+03 2.1e+03 8.5e+04 -9.71e-01 -1.213710455e+05 2.752982256e+00 6.9e-01 0.06 2 7.8e+02 1.0e+03 4.2e+04 -9.57e-01 -1.186217467e+05 5.334792787e+00 3.4e-01 0.07 3 2.9e+02 3.9e+02 1.6e+04 -9.11e-01 -1.102259194e+05 2.219994521e+01 1.3e-01 0.08 4 2.9e+02 3.9e+02 1.6e+04 -7.68e-01 -1.083267789e+05 1.672821615e+03 1.3e-01 0.09 5 1.2e+02 1.6e+02 6.6e+03 -7.60e-01 -8.749626988e+04 6.083313951e+03 5.4e-02 0.10 6 3.9e+01 5.3e+01 2.1e+03 -4.56e-01 -4.677954462e+04 1.085256007e+04 1.7e-02 0.10 7 2.3e+01 3.0e+01 1.2e+03 2.29e-01 -3.113771930e+04 7.216008013e+03 1.0e-02 0.11 8 9.3e+00 1.2e+01 5.0e+02 5.24e-01 -1.393505869e+04 3.980814731e+03 4.1e-03 0.12 9 6.0e+00 8.0e+00 3.2e+02 8.27e-01 -9.009823590e+03 2.812604557e+03 2.7e-03 0.13 10 2.1e+00 2.8e+00 1.1e+02 9.04e-01 -3.057301137e+03 1.183564269e+03 9.3e-04 0.14 11 1.4e+00 1.9e+00 7.7e+01 9.76e-01 -1.997372761e+03 9.332543213e+02 6.4e-04 0.15 12 7.4e-01 1.0e+00 4.0e+01 9.81e-01 -9.699632101e+02 5.758019022e+02 3.3e-04 0.16 13 4.2e-01 7.2e-01 2.3e+01 9.89e-01 -4.606257868e+02 4.178451514e+02 1.9e-04 0.17 14 1.6e-01 2.8e-01 8.7e+00 9.97e-01 -6.512326323e+01 2.680538298e+02 7.3e-05 0.18 15 8.8e-02 1.6e-01 4.9e+00 1.00e+00 3.921207159e+01 2.264578862e+02 4.1e-05 0.18 16 3.1e-02 1.2e-01 1.7e+00 1.00e+00 1.252317814e+02 1.912713104e+02 1.5e-05 0.19 17 1.1e-02 9.8e-02 6.5e-01 1.01e+00 1.548024777e+02 1.794850661e+02 5.6e-06 0.20 18 6.0e-03 7.7e-02 3.5e-01 1.01e+00 1.628860752e+02 1.761840348e+02 3.0e-06 0.21 19 1.1e-03 1.5e-01 6.8e-02 1.01e+00 1.705511844e+02 1.731209203e+02 6.1e-07 0.22 20 4.2e-04 1.1e-01 2.6e-02 1.01e+00 1.716970465e+02 1.726831638e+02 2.4e-07 0.23 21 1.8e-04 9.1e-02 1.1e-02 1.00e+00 1.721010799e+02 1.725269096e+02 1.0e-07 0.24 22 1.0e-04 7.2e-02 6.3e-03 1.00e+00 1.722342738e+02 1.724717849e+02 5.7e-08 0.25 23 9.0e-05 6.5e-02 5.6e-03 1.00e+00 1.722520170e+02 1.724658133e+02 5.1e-08 0.26 24 8.1e-05 6.0e-02 5.1e-03 1.00e+00 1.722673117e+02 1.724597216e+02 4.6e-08 0.27 25 7.3e-05 5.5e-02 4.6e-03 1.00e+00 1.722811705e+02 1.724543346e+02 4.2e-08 0.28 26 6.6e-05 5.0e-02 4.1e-03 1.00e+00 1.722936134e+02 1.724494569e+02 3.7e-08 0.28 27 5.9e-05 4.6e-02 3.7e-03 1.00e+00 1.723047998e+02 1.724450554e+02 3.4e-08 0.29 28 5.3e-05 4.2e-02 3.3e-03 1.00e+00 1.723148518e+02 1.724410789e+02 3.0e-08 0.30 29 4.8e-05 3.9e-02 3.0e-03 1.00e+00 1.723238843e+02 1.724374861e+02 2.7e-08 0.31 30 4.3e-05 3.6e-02 2.7e-03 1.00e+00 1.723320001e+02 1.724342397e+02 2.5e-08 0.31 31 3.9e-05 3.3e-02 2.4e-03 1.00e+00 1.723392924e+02 1.724313064e+02 2.2e-08 0.33 32 3.5e-05 3.0e-02 2.2e-03 1.00e+00 1.723458452e+02 1.724286563e+02 2.0e-08 0.34 33 3.1e-05 2.8e-02 2.0e-03 1.00e+00 1.723517339e+02 1.724262629e+02 1.8e-08 0.35 34 2.8e-05 2.6e-02 1.8e-03 1.00e+00 1.723570267e+02 1.724241018e+02 1.6e-08 0.35 35 2.5e-05 2.4e-02 1.6e-03 1.00e+00 1.723617843e+02 1.724221513e+02 1.5e-08 0.36 36 2.3e-05 2.3e-02 1.4e-03 1.00e+00 1.723660614e+02 1.724203911e+02 1.3e-08 0.37 37 2.1e-05 2.1e-02 1.3e-03 1.00e+00 1.723699069e+02 1.724188032e+02 1.2e-08 0.38 38 1.9e-05 2.0e-02 1.2e-03 1.00e+00 1.723733647e+02 1.724173710e+02 1.1e-08 0.39 39 1.7e-05 1.9e-02 1.0e-03 1.00e+00 1.723764740e+02 1.724160795e+02 9.5e-09 0.40 40 1.5e-05 1.8e-02 9.4e-04 1.00e+00 1.723792702e+02 1.724149150e+02 8.6e-09 0.41 41 1.4e-05 1.7e-02 8.5e-04 1.00e+00 1.723817850e+02 1.724138651e+02 7.7e-09 0.42 42 1.2e-05 1.6e-02 7.6e-04 1.00e+00 1.723840467e+02 1.724129188e+02 6.9e-09 0.43 43 1.1e-05 1.5e-02 6.9e-04 1.00e+00 1.723860810e+02 1.724120658e+02 6.2e-09 0.44 44 9.9e-06 1.4e-02 6.2e-04 1.00e+00 1.723879108e+02 1.724112971e+02 5.6e-09 0.45 45 8.9e-06 1.4e-02 5.6e-04 1.00e+00 1.723895567e+02 1.724106044e+02 5.1e-09 0.46 46 8.0e-06 1.3e-02 5.0e-04 1.00e+00 1.723910373e+02 1.724099802e+02 4.6e-09 0.47 47 7.2e-06 1.3e-02 4.5e-04 1.00e+00 1.723923692e+02 1.724094178e+02 4.1e-09 0.48 48 6.5e-06 1.2e-02 4.1e-04 1.00e+00 1.723935674e+02 1.724089112e+02 3.7e-09 0.49 49 5.8e-06 1.2e-02 3.6e-04 1.00e+00 1.723946453e+02 1.724084548e+02 3.3e-09 0.49 50 5.2e-06 1.1e-02 3.3e-04 1.00e+00 1.723956151e+02 1.724080436e+02 3.0e-09 0.50 51 4.7e-06 1.1e-02 3.0e-04 1.00e+00 1.723964875e+02 1.724076733e+02 2.7e-09 0.51 52 4.2e-06 1.1e-02 2.7e-04 1.00e+00 1.723972725e+02 1.724073397e+02 2.4e-09 0.52 53 3.8e-06 1.0e-02 2.4e-04 1.00e+00 1.723979788e+02 1.724070393e+02 2.2e-09 0.52 54 3.4e-06 1.0e-02 2.2e-04 1.00e+00 1.723986142e+02 1.724067687e+02 2.0e-09 0.53 55 3.1e-06 9.9e-03 1.9e-04 1.00e+00 1.723991860e+02 1.724065251e+02 1.8e-09 0.54 56 2.8e-06 9.7e-03 1.7e-04 1.00e+00 1.723997005e+02 1.724063056e+02 1.6e-09 0.54 57 2.5e-06 9.5e-03 1.6e-04 1.00e+00 1.724001634e+02 1.724061080e+02 1.4e-09 0.55 58 2.3e-06 9.3e-03 1.4e-04 1.00e+00 1.724005799e+02 1.724059301e+02 1.3e-09 0.56 59 2.0e-06 9.2e-03 1.3e-04 1.00e+00 1.724009547e+02 1.724057699e+02 1.2e-09 0.57 60 1.8e-06 9.0e-03 1.1e-04 1.00e+00 1.724012919e+02 1.724056257e+02 1.0e-09 0.57 61 1.6e-06 8.9e-03 1.0e-04 1.00e+00 1.724015954e+02 1.724054958e+02 9.4e-10 0.58 62 1.5e-06 8.8e-03 9.3e-05 1.00e+00 1.724018684e+02 1.724053788e+02 8.4e-10 0.59 63 1.3e-06 8.7e-03 8.4e-05 1.00e+00 1.724021142e+02 1.724052735e+02 7.6e-10 0.60 64 1.2e-06 8.6e-03 7.5e-05 1.00e+00 1.724023353e+02 1.724051787e+02 6.8e-10 0.61 65 1.1e-06 8.5e-03 6.8e-05 1.00e+00 1.724025342e+02 1.724050933e+02 6.2e-10 0.62 66 9.7e-07 8.4e-03 6.1e-05 1.00e+00 1.724027133e+02 1.724050165e+02 5.5e-10 0.62 67 8.7e-07 8.3e-03 5.5e-05 1.00e+00 1.724028744e+02 1.724049473e+02 5.0e-10 0.63 68 7.9e-07 8.3e-03 4.9e-05 1.00e+00 1.724030194e+02 1.724048850e+02 4.5e-10 0.64 69 7.1e-07 8.2e-03 4.4e-05 1.00e+00 1.724031498e+02 1.724048289e+02 4.0e-10 0.65 70 6.4e-07 8.1e-03 4.0e-05 1.00e+00 1.724032672e+02 1.724047784e+02 3.6e-10 0.65 71 5.7e-07 8.1e-03 3.6e-05 1.00e+00 1.724033729e+02 1.724047329e+02 3.3e-10 0.66 72 5.2e-07 8.0e-03 3.2e-05 1.00e+00 1.724034679e+02 1.724046920e+02 2.9e-10 0.67 73 4.6e-07 8.0e-03 2.9e-05 1.00e+00 1.724035535e+02 1.724046551e+02 2.7e-10 0.67 74 4.2e-07 7.9e-03 2.6e-05 1.00e+00 1.724036305e+02 1.724046220e+02 2.4e-10 0.68 75 3.8e-07 7.9e-03 2.4e-05 1.00e+00 1.724036997e+02 1.724045921e+02 2.1e-10 0.69 76 3.4e-07 7.9e-03 2.1e-05 1.00e+00 1.724037621e+02 1.724045652e+02 1.9e-10 0.70 77 3.1e-07 7.8e-03 1.9e-05 1.00e+00 1.724038182e+02 1.724045410e+02 1.7e-10 0.71 78 2.7e-07 7.8e-03 1.7e-05 1.00e+00 1.724038687e+02 1.724045192e+02 1.6e-10 0.71 79 2.5e-07 7.8e-03 1.5e-05 1.00e+00 1.724039141e+02 1.724044996e+02 1.4e-10 0.72 80 2.2e-07 7.7e-03 1.4e-05 1.00e+00 1.724039550e+02 1.724044819e+02 1.3e-10 0.73 81 2.0e-07 7.7e-03 1.3e-05 1.00e+00 1.724039918e+02 1.724044660e+02 1.1e-10 0.73 82 1.8e-07 7.7e-03 1.1e-05 1.00e+00 1.724040E ====================================================================== ERROR [29.832s]: test_SPaircraft_py_mosek (gpkit.tests.from_paths.TestFiles) ---------------------------------------------------------------------- Traceback (most recent call last): File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/helpers.py", line 64, in test testfn(name, import_dict, path)(self) File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 51, in <lambda> lambda self: getattr(self, name)())) # pylint:disable=undefined-variable File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 40, in test_fn mod.test() File "SPaircraft.py", line 87, in test sol = optimize_aircraft(m, substitutions, fixedBPR, pRatOpt, mutategparg) File "SPaircraft.py", line 62, in optimize_aircraft sol = m_relax.localsolve(verbosity=4, iteration_limit=200, reltol=0.01, mutategp=mutategparg, x0 = x0) File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/constraints/prog_factories.py", line 124, in solvefn result = progsolve(solver, verbosity, **kwargs) File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/constraints/sgp.py", line 149, in localsolve feas_constrs, None) File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/constraints/gp.py", line 112, in __init__ + boundstrs) ValueError: Geometric Program is not fully bounded: Mission1.Aircraft.Engine.EngineConstants.Relax1.R has no lower bound Mission1.Aircraft.Engine.EngineConstants.Relax1.g has no lower bound ---------------------------------------------------------------------- Ran 1 test in 29.832s FAILED (errors=1) Generating XML reports... 249e+02 1.724044517e+02 1.0e-10 0.74 83 1.6e-07 7.7e-03 1.0e-05 1.00e+00 1.724040546e+02 1.724044388e+02 9.2e-11 0.75 84 1.5e-07 7.7e-03 9.1e-06 1.00e+00 1.724040815e+02 1.724044272e+02 8.3e-11 0.76 85 1.3e-07 7.6e-03 8.2e-06 1.00e+00 1.724041056e+02 1.724044167e+02 7.5e-11 0.76 86 1.2e-07 7.6e-03 7.4e-06 1.00e+00 1.724041273e+02 1.724044073e+02 6.7e-11 0.77 87 1.1e-07 7.6e-03 6.7e-06 1.00e+00 1.724041470e+02 1.724043988e+02 6.1e-11 0.78 88 9.6e-08 7.6e-03 6.0e-06 1.00e+00 1.724041646e+02 1.724043912e+02 5.5e-11 0.79 89 8.6e-08 7.6e-03 5.4e-06 1.00e+00 1.724041804e+02 1.724043843e+02 4.9e-11 0.80 90 7.8e-08 7.6e-03 4.9e-06 9.97e-01 1.724041946e+02 1.724043781e+02 4.4e-11 0.81 91 7.0e-08 7.5e-03 4.4e-06 1.00e+00 1.724042074e+02 1.724043726e+02 4.0e-11 0.82 92 6.3e-08 7.5e-03 3.9e-06 9.99e-01 1.724042189e+02 1.724043676e+02 3.6e-11 0.83 93 5.7e-08 6.8e-03 3.5e-06 1.02e+00 1.724042300e+02 1.724043628e+02 3.3e-11 0.84 94 5.1e-08 6.1e-03 3.2e-06 1.01e+00 1.724042398e+02 1.724043585e+02 2.9e-11 0.85 95 4.6e-08 5.5e-03 2.9e-06 1.01e+00 1.724042484e+02 1.724043549e+02 2.7e-11 0.86 96 4.2e-08 4.9e-03 2.6e-06 1.02e+00 1.724042564e+02 1.724043515e+02 2.4e-11 0.87 97 3.8e-08 4.4e-03 2.3e-06 9.97e-01 1.724042630e+02 1.724043486e+02 2.2e-11 0.87 98 3.4e-08 4.0e-03 2.1e-06 9.95e-01 1.724042689e+02 1.724043460e+02 2.0e-11 0.88 99 3.1e-08 3.6e-03 1.9e-06 9.91e-01 1.724042743e+02 1.724043436e+02 1.8e-11 0.89 100 2.8e-08 3.2e-03 1.7e-06 9.09e-01 1.724042791e+02 1.724043415e+02 1.6e-11 0.90 101 3.9e-08 7.7e-04 4.0e-07 1.00e+00 1.724043125e+02 1.724043276e+02 4.0e-12 0.91 102 1.1e-07 6.9e-04 3.6e-07 -7.72e-01 1.724043128e+02 1.724043312e+02 3.4e-12 0.92 103 1.1e-07 6.9e-04 3.6e-07 -3.73e+00 1.724043128e+02 1.724043312e+02 3.4e-12 0.93 Optimizer terminated. Time: 0.93 solsta = 7, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : NEAR_OPTIMAL Primal. obj: 1.7240431284e+02 nrm: 4e+01 Viol. con: 3e-06 var: 0e+00 Dual. obj: 1.7240433117e+02 nrm: 8e+02 Viol. con: 0e+00 var: 7e-03 * End solution on dual form. * Transforming to primal solution. Solving took 0.962 seconds. Cloning into 'solar'... DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Requirement already satisfied: pandas in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (0.24.2) Requirement already satisfied: python-dateutil>=2.5.0 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pandas) (2.8.0) Requirement already satisfied: numpy>=1.12.0 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pandas) (1.16.5) Requirement already satisfied: pytz>=2011k in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pandas) (2019.2) Requirement already satisfied: six>=1.5 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from python-dateutil>=2.5.0->pandas) (1.12.0) DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting git+https://github.com/convexengineering/gpfit.git Cloning https://github.com/convexengineering/gpfit.git to /private/var/folders/xs/_fh4l1p54zqcl6mbk4zclcfr0000gp/T/pip-req-build-8rQPSE Running command git clone -q https://github.com/convexengineering/gpfit.git /private/var/folders/xs/_fh4l1p54zqcl6mbk4zclcfr0000gp/T/pip-req-build-8rQPSE Requirement already satisfied (use --upgrade to upgrade): gpfit==0.1 from git+https://github.com/convexengineering/gpfit.git in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages Requirement already satisfied: numpy in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpfit==0.1) (1.16.5) Requirement already satisfied: scipy in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpfit==0.1) (1.2.2) Requirement already satisfied: gpkit in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit (from gpfit==0.1) (0.9.1.0) Requirement already satisfied: pint>=0.8.1 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->gpfit==0.1) (0.9) Requirement already satisfied: ad in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->gpfit==0.1) (1.3.2) Requirement already satisfied: cvxopt>=1.1.8 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->gpfit==0.1) (1.2.3) Requirement already satisfied: six in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->gpfit==0.1) (1.12.0) Requirement already satisfied: funcsigs; python_version == "2.7" in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pint>=0.8.1->gpkit->gpfit==0.1) (1.0.2) Building wheels for collected packages: gpfit Building wheel for gpfit (setup.py): started Building wheel for gpfit (setup.py): finished with status 'done' Created wheel for gpfit: filename=gpfit-0.1-cp27-none-any.whl size=25151 sha256=a00a5fe657002ef4dfa351aa0ddc02172cf2183e236043456586e954e33e1e37 Stored in directory: /private/var/folders/xs/_fh4l1p54zqcl6mbk4zclcfr0000gp/T/pip-ephem-wheel-cache-S5lq9l/wheels/d5/94/ac/b1f68b07599181f26f4b9149a1a6d49dfc5cdbc65de1a14d12 Successfully built gpfit DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Collecting git+https://github.com/convexengineering/gassolar.git Cloning https://github.com/convexengineering/gassolar.git to /private/var/folders/xs/_fh4l1p54zqcl6mbk4zclcfr0000gp/T/pip-req-build-QhoK6H Running command git clone -q https://github.com/convexengineering/gassolar.git /private/var/folders/xs/_fh4l1p54zqcl6mbk4zclcfr0000gp/T/pip-req-build-QhoK6H Requirement already satisfied (use --upgrade to upgrade): gassolar==0.0.0.0 from git+https://github.com/convexengineering/gassolar.git in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages Requirement already satisfied: numpy in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gassolar==0.0.0.0) (1.16.5) Requirement already satisfied: scipy in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gassolar==0.0.0.0) (1.2.2) Requirement already satisfied: gpkit in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit (from gassolar==0.0.0.0) (0.9.1.0) Requirement already satisfied: pandas in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gassolar==0.0.0.0) (0.24.2) Requirement already satisfied: gpfit in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gassolar==0.0.0.0) (0.1) Requirement already satisfied: pint>=0.8.1 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->gassolar==0.0.0.0) (0.9) Requirement already satisfied: ad in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->gassolar==0.0.0.0) (1.3.2) Requirement already satisfied: cvxopt>=1.1.8 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->gassolar==0.0.0.0) (1.2.3) Requirement already satisfied: six in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->gassolar==0.0.0.0) (1.12.0) Requirement already satisfied: python-dateutil>=2.5.0 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pandas->gassolar==0.0.0.0) (2.8.0) Requirement already satisfied: pytz>=2011k in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pandas->gassolar==0.0.0.0) (2019.2) Requirement already satisfied: funcsigs; python_version == "2.7" in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pint>=0.8.1->gpkit->gassolar==0.0.0.0) (1.0.2) Building wheels for collected packages: gassolar Building wheel for gassolar (setup.py): started Building wheel for gassolar (setup.py): finished with status 'done' Created wheel for gassolar: filename=gassolar-0.0.0.0-cp27-none-any.whl size=4876517 sha256=883ad9581b980238caa23cfd0c512c3f6017278609d012625e562f80065a921d Stored in directory: /private/var/folders/xs/_fh4l1p54zqcl6mbk4zclcfr0000gp/T/pip-ephem-wheel-cache-U1SPFB/wheels/fe/11/0a/2dde16df75c51194d20248ec9e30e88fc7200e9fc4664b032e Successfully built gassolar DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support Processing /Users/jenkins/workspace/gplibrary_Push_Models/mosek/solar Requirement already satisfied: numpy in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from solar==0.0.0.0) (1.16.5) Requirement already satisfied: scipy in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from solar==0.0.0.0) (1.2.2) Requirement already satisfied: gpkit in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit (from solar==0.0.0.0) (0.9.1.0) Requirement already satisfied: pandas in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from solar==0.0.0.0) (0.24.2) Requirement already satisfied: gpfit in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from solar==0.0.0.0) (0.1) Requirement already satisfied: gpkitmodels in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/gplibrary (from solar==0.0.0.0) (0.0.0.0) Requirement already satisfied: pint>=0.8.1 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->solar==0.0.0.0) (0.9) Requirement already satisfied: ad in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->solar==0.0.0.0) (1.3.2) Requirement already satisfied: cvxopt>=1.1.8 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->solar==0.0.0.0) (1.2.3) Requirement already satisfied: six in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from gpkit->solar==0.0.0.0) (1.12.0) Requirement already satisfied: python-dateutil>=2.5.0 in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pandas->solar==0.0.0.0) (2.8.0) Requirement already satisfied: pytz>=2011k in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pandas->solar==0.0.0.0) (2019.2) Requirement already satisfied: funcsigs; python_version == "2.7" in /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages (from pint>=0.8.1->gpkit->solar==0.0.0.0) (1.0.2) Building wheels for collected packages: solar Building wheel for solar (setup.py): started Building wheel for solar (setup.py): finished with status 'done' Created wheel for solar: filename=solar-0.0.0.0-cp27-none-any.whl size=14822 sha256=e9af4baf6eb58779f1acc4a06b979311abe242417687bca6ac4898dd858f4fb8 Stored in directory: /private/var/folders/xs/_fh4l1p54zqcl6mbk4zclcfr0000gp/T/pip-ephem-wheel-cache-8EGuBm/wheels/55/91/84/60653f7cb392791f8ec648fb5ef240c78233b7566d69a6c92c Successfully built solar Installing collected packages: solar Successfully installed solar-0.0.0.0 Running tests... ---------------------------------------------------------------------- /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/pint/quantity.py:1377: UnitStrippedWarning: The unit of the quantity is stripped. warnings.warn("The unit of the quantity is stripped.", UnitStrippedWarning) ../Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/gassolar/environment/solar_irradiance.py:40: RuntimeWarning: overflow encountered in exp tau = np.exp(-0.175/costhsun) /Users/jenkins/workspace/gplibrary_Push_Models/mosek/venv2_gpkit/lib/python2.7/site-packages/gassolar/environment/solar_irradiance.py:40: RuntimeWarning: divide by zero encountered in divide tau = np.exp(-0.175/costhsun) .Build was aborted INFO: Starting to record. INFO: Processing JUnit /var/folders/xs/_fh4l1p54zqcl6mbk4zclcfr0000gp/T/jenkins14542277966406827725.sh: line 101: 67780 Terminated: 15 python -c "from gpkit.tests.test_repo import test_repos; test_repos(xmloutput=True)" INFO: [JUnit] - 6 test report file(s) were found with the pattern '**/test_reports/*.xml, **/test_reports_nounits/*.xml' relative to '/Users/jenkins/workspace/gplibrary_Push_Models/mosek' for the testing framework 'JUnit'. INFO: Check 'Failed Tests' threshold. INFO: Check 'Skipped Tests' threshold. INFO: Setting the build status to ABORTED INFO: Stopping recording. [WS-CLEANUP] Deleting project workspace... [WS-CLEANUP] Deferred wipeout is used... [WS-CLEANUP] done Finished: ABORTED