Пример #1
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class TestNSGA2(OptTest):
    name = "quadratic"
    optName = "NSGA2"

    def objfunc(self, xdict):
        x = xdict["x"]
        y = xdict["y"]

        funcs = {}
        funcs["obj1"] = (x - 0.0) ** 2 + (y - 0.0) ** 2
        funcs["obj2"] = (x - 1.0) ** 2 + (y - 1.0) ** 2

        fail = False

        return funcs, fail

    def setup_optProb(self):
        # Instantiate Optimization Problem
        self.optProb = Optimization("quadratic", self.objfunc)
        self.optProb.addVar("x", value=0, lower=-600, upper=600)
        self.optProb.addVar("y", value=0, lower=-600, upper=600)

        self.optProb.addObj("obj1")
        self.optProb.addObj("obj2")

    def test_opt(self):
        self.setup_optProb()

        # 300 generations will find x=(0,0), 200 or less will find x=(1,1)
        optOptions = {"maxGen": 200}
        sol = self.optimize(optOptions=optOptions)
        tol = 1e-2
        assert_allclose(sol.variables["x"][0].value, 1.0, atol=tol, rtol=tol)
        assert_allclose(sol.variables["y"][0].value, 1.0, atol=tol, rtol=tol)
Пример #2
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    def test_autorefine(self):
        # Optimization Object
        optProb = Optimization("TP109 Constraint Problem", objfunc)

        # Design Variables (Removed infinite bounds for ALPSO)
        lower = [0.0, 0.0, -0.55, -0.55, 196, 196, 196, -400, -400]
        upper = [2000, 2000, 0.55, 0.55, 252, 252, 252, 800, 800]
        value = [0, 0, 0, 0, 0, 0, 0, 0, 0]
        optProb.addVarGroup("xvars", 9, lower=lower, upper=upper, value=value)

        # Constraints
        lower = [0, 0, 0, 0, 0, 0, 0, 0]
        upper = [None, None, 0, 0, 0, 0, 0, 0]
        if not USE_LINEAR:
            lower.extend([0, 0])
            upper.extend([None, None])

        optProb.addConGroup("con", len(lower), lower=lower, upper=upper)

        # And the 2 linear constriants
        if USE_LINEAR:
            jac = np.zeros((1, 9))
            jac[0, 3] = 1.0
            jac[0, 2] = -1.0
            optProb.addConGroup("lin_con",
                                1,
                                lower=-0.55,
                                upper=0.55,
                                wrt=["xvars"],
                                jac={"xvars": jac},
                                linear=True)

        # Objective
        optProb.addObj("obj")

        # Check optimization problem:
        # optProb.printSparsity()

        # Global Optimizer: ALPSO
        try:
            opt1 = OPT("ALPSO")
        except Error:
            raise unittest.SkipTest("Optimizer not available:", "ALPSO")

        # Get first Solution
        sol1 = opt1(optProb)

        # Now run the previous solution with SNOPT
        try:
            opt2 = OPT("SNOPT")
        except Error:
            raise unittest.SkipTest("Optimizer not available:", "SNOPT")

        sol2 = opt2(sol1)

        # Check Solution
        assert_allclose(sol2.objectives["obj"].value,
                        0.536206927538e04,
                        atol=1e-2,
                        rtol=1e-2)
    def test_sens(self):
        termcomp = TerminateComp(max_sens=3)
        optProb = Optimization("Paraboloid", termcomp.objfunc)

        optProb.addVarGroup("x", 1, type="c", lower=-50.0, upper=50.0, value=0.0)
        optProb.addVarGroup("y", 1, type="c", lower=-50.0, upper=50.0, value=0.0)
        optProb.finalizeDesignVariables()

        optProb.addObj("obj")

        optProb.addConGroup("con", 1, lower=-15.0, upper=-15.0, wrt=["x", "y"], linear=True, jac=con_jac)

        test_name = "SNOPT_user_termination_sens"
        optOptions = {
            "Print file": "{}.out".format(test_name),
            "Summary file": "{}_summary.out".format(test_name),
        }
        try:
            opt = SNOPT(options=optOptions)
        except Error:
            raise unittest.SkipTest("Optimizer not available: SNOPT")

        sol = opt(optProb, sens=termcomp.sens)

        self.assertEqual(termcomp.sens_count, 4)

        # Exit code for user requested termination.
        self.assertEqual(sol.optInform["value"], 71)
Пример #4
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    def test_opt(self):
        # Optimization Object
        optProb = Optimization('Paraboloid', objfunc)

        # Design Variables
        optProb.addVarGroup('x', 1, type='c', lower=-50.0, upper=50.0, value=0.0)
        optProb.addVarGroup('y', 1, type='c', lower=-50.0, upper=50.0, value=0.0)
        optProb.finalizeDesignVariables()

        # Objective
        optProb.addObj('obj')

        # Equality Constraint
        optProb.addConGroup('con', 1, lower=-15.0, upper=-15.0, wrt=['x', 'y'], linear=True, jac=con_jac)

        # Check optimization problem:
        print(optProb)


        # Optimizer
        try:
            opt = SNOPT(optOptions = {'Major feasibility tolerance' : 1e-1})
        except:
            raise unittest.SkipTest('Optimizer not available: SNOPT')

        sol = opt(optProb, sens=sens)

        # Check Solution 7.166667, -7.833334
        self.assertAlmostEqual(sol.variables['x'][0].value, 7.166667, places=6)
        self.assertAlmostEqual(sol.variables['y'][0].value, -7.833333, places=6)
Пример #5
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    def setup_optProb(self, nObj=1, nDV=[4], nCon=[2], xScale=[1.0], objScale=[1.0], conScale=[1.0], offset=[0.0]):
        """
        This function sets up a general optimization problem, with arbitrary
        DVs, constraints and objectives.
        Arbitrary scaling for the various parameters can also be specified.
        """
        self.nObj = nObj
        self.nDV = nDV
        self.nCon = nCon
        self.xScale = xScale
        self.objScale = objScale
        self.conScale = conScale
        self.offset = offset

        # Optimization Object
        self.optProb = Optimization("Configurable Test Problem", self.objfunc)
        self.x0 = {}
        # Design Variables
        for iDV in range(len(nDV)):
            n = nDV[iDV]
            lower = np.random.uniform(-5, 2, n)
            upper = np.random.uniform(5, 20, n)
            x0 = np.random.uniform(lower, upper)
            dvName = "x{}".format(iDV)
            self.x0[dvName] = x0
            self.optProb.addVarGroup(
                dvName,
                n,
                lower=lower,
                upper=upper,
                value=x0,
                scale=xScale[iDV],
                offset=offset[iDV],
            )

        # Constraints
        for iCon in range(len(nCon)):
            nc = nCon[iCon]
            lower = np.random.uniform(-5, 2, nc)
            upper = np.random.uniform(5, 6, nc)
            self.optProb.addConGroup(
                "con_{}".format(iCon),
                nc,
                lower=lower,
                upper=upper,
                scale=conScale[iCon],
            )

        # Objective
        for iObj in range(nObj):
            self.optProb.addObj("obj_{}".format(iObj), scale=objScale[iObj])

        # Finalize
        self.optProb.printSparsity()
        # run optimization
        # we don't care about outputs, but this performs optimizer-specific re-ordering
        # of constraints so we need this to test mappings
        opt = OPT("slsqp", options={"IFILE": "optProb_SLSQP.out"})
        opt(self.optProb, "FD")
Пример #6
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    def test_autorefine(self):
        # Optimization Object
        optProb = Optimization('TP109 Constraint Problem', objfunc)

        # Design Variables (Removed infinite bounds for ALPSO)
        lower = [0.0, 0.0, -0.55, -0.55, 196, 196, 196, -400, -400]
        upper = [2000, 2000, 0.55, 0.55, 252, 252, 252, 800, 800]
        value = [0, 0, 0, 0, 0, 0, 0, 0, 0]
        optProb.addVarGroup('xvars', 9, lower=lower, upper=upper, value=value)

        # Constraints
        lower = [0, 0, 0, 0, 0, 0, 0, 0]
        upper = [None, None, 0, 0, 0, 0, 0, 0]
        if not USE_LINEAR:
            lower.extend([0, 0])
            upper.extend([None, None])

        optProb.addConGroup('con', len(lower), lower=lower, upper=upper)

        # And the 2 linear constriants
        if USE_LINEAR:
            jac = numpy.zeros((1, 9))
            jac[0, 3] = 1.0
            jac[0, 2] = -1.0
            optProb.addConGroup('lin_con',
                                1,
                                lower=-.55,
                                upper=0.55,
                                wrt=['xvars'],
                                jac={'xvars': jac},
                                linear=True)

        # Objective
        optProb.addObj('obj')

        # Check optimization problem:
        #optProb.printSparsity()

        # Global Optimizer: ALPSO
        try:
            opt1 = OPT('ALPSO')
        except:
            raise unittest.SkipTest('Optimizer not available:', 'ALPSO')

        # Get first Solution
        sol1 = opt1(optProb)

        # Now run the previous solution with SNOPT
        try:
            opt2 = OPT('SNOPT')
        except:
            raise unittest.SkipTest('Optimizer not available:', 'SNOPT')

        sol2 = opt2(sol1)

        # Check Solution
        self.assertAlmostEqual(sol2.objectives['obj'].value,
                               0.536206927538e+04,
                               places=2)
Пример #7
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    def setup_optProb(self):
        # Instantiate Optimization Problem
        self.optProb = Optimization("quadratic", self.objfunc)
        self.optProb.addVar("x", value=0, lower=-600, upper=600)
        self.optProb.addVar("y", value=0, lower=-600, upper=600)

        self.optProb.addObj("obj1")
        self.optProb.addObj("obj2")
Пример #8
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    def test_opt(self):
        # Optimization Object
        optProb = Optimization("Paraboloid", objfunc)

        # Design Variables
        optProb.addVarGroup("x",
                            1,
                            varType="c",
                            lower=-50.0,
                            upper=50.0,
                            value=0.0)
        optProb.addVarGroup("y",
                            1,
                            varType="c",
                            lower=-50.0,
                            upper=50.0,
                            value=0.0)

        # Objective
        optProb.addObj("obj")

        # Equality Constraint
        optProb.addConGroup("con",
                            1,
                            lower=-15.0,
                            upper=-15.0,
                            wrt=["x", "y"],
                            linear=True,
                            jac=con_jac)

        # Check optimization problem:
        print(optProb)
        test_name = "bugfix_SNOPT_test_opt"
        optOptions = {
            "Major feasibility tolerance": 1e-1,
            "Print file": "{}.out".format(test_name),
            "Summary file": "{}_summary.out".format(test_name),
        }

        # Optimizer
        try:
            opt = SNOPT(options=optOptions)
        except Error:
            raise unittest.SkipTest("Optimizer not available: SNOPT")

        sol = opt(optProb, sens=sens)

        # Check Solution 7.166667, -7.833334
        tol = 1e-6
        assert_allclose(sol.variables["x"][0].value,
                        7.166667,
                        atol=tol,
                        rtol=tol)
        assert_allclose(sol.variables["y"][0].value,
                        -7.833333,
                        atol=tol,
                        rtol=tol)
Пример #9
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    def __call__(self, optimizer, options=None):
        """ Run optimization """
        system = self._system
        variables = self._variables

        opt_prob = OptProblem('Optimization', self.obj_func)
        for dv_name in variables['dv'].keys():
            dv_id = variables['dv'][dv_name]['ID']
            value = variables['dv'][dv_name]['value']
            lower = variables['dv'][dv_name]['lower']
            upper = variables['dv'][dv_name]['upper']
            size = system(dv_id).size
            opt_prob.addVarGroup(dv_name, size, value=value,
                                 lower=lower, upper=upper)
        opt_prob.finalizeDesignVariables()
        for func_name in variables['func'].keys():
            lower = variables['func'][func_name]['lower']
            upper = variables['func'][func_name]['upper']
            if lower is None and upper is None:
                opt_prob.addObj(func_name)
            else:
                opt_prob.addCon(func_name, lower=lower, upper=upper)

        if options is None:
            options = {}

        opt = Optimizer(optimizer, options=options)
        sol = opt(opt_prob, sens=self.sens_func)
        print sol
Пример #10
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    def __call__(self, optimizer, options=None):
        """ Run optimization """
        system = self._system
        variables = self._variables

        opt_prob = OptProblem('Optimization', self.obj_func)
        for dv_name in variables['dv'].keys():
            dv_id = variables['dv'][dv_name]['ID']
            value = variables['dv'][dv_name]['value']
            lower = variables['dv'][dv_name]['lower']
            upper = variables['dv'][dv_name]['upper']
            size = system(dv_id).size
            opt_prob.addVarGroup(dv_name,
                                 size,
                                 value=value,
                                 lower=lower,
                                 upper=upper)
        opt_prob.finalizeDesignVariables()
        for func_name in variables['func'].keys():
            lower = variables['func'][func_name]['lower']
            upper = variables['func'][func_name]['upper']
            if lower is None and upper is None:
                opt_prob.addObj(func_name)
            else:
                opt_prob.addCon(func_name, lower=lower, upper=upper)

        if options is None:
            options = {}

        opt = Optimizer(optimizer, options=options)
        sol = opt(opt_prob, sens=self.sens_func)
        print sol
Пример #11
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    def optimize(self, optName, tol, optOptions={}):
        # Optimization Object
        optProb = Optimization("TP109 Constraint Problem", objfunc)

        # Design Variables
        lower = [0.0, 0.0, -0.55, -0.55, 196, 196, 196, -400, -400]
        upper = [None, None, 0.55, 0.55, 252, 252, 252, 800, 800]
        value = [0, 0, 0, 0, 0, 0, 0, 0, 0]
        optProb.addVarGroup("xvars", 9, lower=lower, upper=upper, value=value)

        # Constraints
        lower = [0, 0, 0, 0, 0, 0, 0, 0]
        upper = [None, None, 0, 0, 0, 0, 0, 0]
        if not USE_LINEAR:
            lower.extend([0, 0])
            upper.extend([None, None])

        optProb.addConGroup("con", len(lower), lower=lower, upper=upper)

        # And the 2 linear constriants
        if USE_LINEAR:
            jac = np.zeros((1, 9))
            jac[0, 3] = 1.0
            jac[0, 2] = -1.0
            optProb.addConGroup("lin_con",
                                1,
                                lower=-0.55,
                                upper=0.55,
                                wrt=["xvars"],
                                jac={"xvars": jac},
                                linear=True)

        # Objective
        optProb.addObj("obj")

        # Check optimization problem:
        # optProb.printSparsity()

        # Optimizer
        try:
            opt = OPT(optName, options=optOptions)
        except Error:
            raise unittest.SkipTest("Optimizer not available:", optName)

        # Solution
        sol = opt(optProb, sens="CS")

        # Check Solution
        assert_allclose(sol.objectives["obj"].value,
                        0.536206927538e04,
                        atol=tol,
                        rtol=tol)
Пример #12
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    def setup_optProb(self, xScale=1.0, objScale=1.0, conScale=1.0, offset=0.0):
        # Optimization Object
        self.optProb = Optimization("HS071 Constraint Problem", self.objfunc, sens=self.sens)

        # Design Variables
        x0 = [1.0, 5.0, 5.0, 1.0]
        self.optProb.addVarGroup("xvars", 4, lower=1, upper=5, value=x0, scale=xScale, offset=offset)

        # Constraints
        self.optProb.addConGroup("con", 2, lower=[25, 40], upper=[None, 40], scale=conScale)

        # Objective
        self.optProb.addObj("obj", scale=objScale)
Пример #13
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    def setup_optProb(self):
        # Optimization Object
        self.optProb = Optimization("Rosenbrock Problem", self.objfunc)

        np.random.seed(10)
        value = np.random.normal(size=self.N)

        lower = np.ones(self.N) * -50
        upper = np.ones(self.N) * 50
        self.optProb.addVarGroup("xvars", self.N, lower=lower, upper=upper, value=value)

        # Objective
        self.optProb.addObj("obj")
Пример #14
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    def optimize(self, optName, optOptions={}, places=2):
        # Optimization Object
        optProb = Optimization('TP109 Constraint Problem', objfunc)

        # Design Variables
        lower = [0.0, 0.0, -0.55, -0.55, 196, 196, 196, -400, -400]
        upper = [None, None, 0.55, 0.55, 252, 252, 252, 800, 800]
        value = [0, 0, 0, 0, 0, 0, 0, 0, 0]
        optProb.addVarGroup('xvars', 9, lower=lower, upper=upper, value=value)

        # Constraints
        lower = [0, 0, 0, 0, 0, 0, 0, 0]
        upper = [None, None, 0, 0, 0, 0, 0, 0]
        if not USE_LINEAR:
            lower.extend([0, 0])
            upper.extend([None, None])

        optProb.addConGroup('con', len(lower), lower=lower, upper=upper)

        # And the 2 linear constriants
        if USE_LINEAR:
            jac = numpy.zeros((1, 9))
            jac[0, 3] = 1.0
            jac[0, 2] = -1.0
            optProb.addConGroup('lin_con',
                                1,
                                lower=-.55,
                                upper=0.55,
                                wrt=['xvars'],
                                jac={'xvars': jac},
                                linear=True)

        # Objective
        optProb.addObj('obj')

        # Check optimization problem:
        #optProb.printSparsity()

        # Optimizer
        try:
            opt = OPT(optName, options=optOptions)
        except:
            raise unittest.SkipTest('Optimizer not available:', optName)

        # Solution
        sol = opt(optProb, sens='CS')

        # Check Solution
        self.assertAlmostEqual(sol.objectives['obj'].value,
                               0.536206927538e+04,
                               places=places)
Пример #15
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    def optimize(self, optName, tol, optOptions={}, storeHistory=False, hotStart=None):
        self.nf = 0  # number of function evaluations
        self.ng = 0  # number of gradient evaluations
        # Optimization Object
        optProb = Optimization("HS15 Constraint Problem", self.objfunc)

        # Design Variables
        lower = [-5.0, -5.0]
        upper = [0.5, 5.0]
        value = [-2, 1.0]
        optProb.addVarGroup("xvars", 2, lower=lower, upper=upper, value=value)

        # Constraints
        lower = [1.0, 0.0]
        upper = [None, None]
        optProb.addConGroup("con", 2, lower=lower, upper=upper)

        # Objective
        optProb.addObj("obj")

        # Check optimization problem:
        print(optProb)

        # Optimizer
        try:
            opt = OPT(optName, options=optOptions)
        except Error:
            raise unittest.SkipTest("Optimizer not available:", optName)

        # Solution
        if storeHistory is not None:
            if storeHistory is True:
                self.histFileName = "%s_hs015_Hist.hst" % (optName.lower())
            elif isinstance(storeHistory, str):
                self.histFileName = storeHistory
        else:
            self.histFileName = None

        sol = opt(optProb, sens=self.sens, storeHistory=self.histFileName, hotStart=hotStart)

        # Test printing solution to screen
        print(sol)

        # Check Solution
        self.fStar1 = 306.5
        self.fStar2 = 360.379767

        self.xStar1 = (0.5, 2.0)
        self.xStar2 = (-0.79212322, -1.26242985)

        dv = sol.getDVs()
        sol_xvars = [sol.variables["xvars"][i].value for i in range(2)]
        assert_allclose(sol_xvars, dv["xvars"], atol=tol, rtol=tol)
        # we check either optimum via try/except
        try:
            assert_allclose(sol.objectives["obj"].value, self.fStar1, atol=tol, rtol=tol)
            assert_allclose(dv["xvars"], self.xStar1, atol=tol, rtol=tol)
        except AssertionError:
            assert_allclose(sol.objectives["obj"].value, self.fStar2, atol=tol, rtol=tol)
            assert_allclose(dv["xvars"], self.xStar2, atol=tol, rtol=tol)
Пример #16
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    def optimize(self, optName, optOptions={}, storeHistory=False, places=5):
        # Optimization Object
        optProb = Optimization('HS071 Constraint Problem', objfunc)

        # Design Variables
        x0 = [1.0, 5.0, 5.0, 1.0]
        optProb.addVarGroup('xvars', 4, lower=1, upper=5, value=x0)

        # Constraints
        optProb.addConGroup('con', 2, lower=[25, 40], upper=[None, 40])

        # Objective
        optProb.addObj('obj')

        # Optimizer
        try:
            opt = OPT(optName, options=optOptions)
        except:
            raise unittest.SkipTest('Optimizer not available:', optName)

        sol = opt(optProb, sens=sens)

        # Check Solution
        self.assertAlmostEqual(sol.objectives['obj'].value, 17.0140172, places=places)

        self.assertAlmostEqual(sol.variables['xvars'][0].value, 1.0, places=places)
        self.assertAlmostEqual(sol.variables['xvars'][1].value, 4.743, places=places)
        self.assertAlmostEqual(sol.variables['xvars'][2].value, 3.82115, places=places)
        self.assertAlmostEqual(sol.variables['xvars'][3].value, 1.37941, places=places)

        if hasattr(sol, 'lambdaStar'):
            self.assertAlmostEqual(sol.lambdaStar['con'][0], 0.55229366, places=places)
            self.assertAlmostEqual(sol.lambdaStar['con'][1], -0.16146857, places=places)
Пример #17
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    def test_opt_bug1(self):
        # Due to a new feature, there is a TypeError when you optimize a model without a constraint.
        optProb = Optimization("Paraboloid", objfunc_no_con)

        # Design Variables
        optProb.addVarGroup("x",
                            1,
                            varType="c",
                            lower=-50.0,
                            upper=50.0,
                            value=0.0)
        optProb.addVarGroup("y",
                            1,
                            varType="c",
                            lower=-50.0,
                            upper=50.0,
                            value=0.0)

        # Objective
        optProb.addObj("obj")

        test_name = "bugfix_SNOPT_bug1"
        optOptions = {
            "Major feasibility tolerance": 1e-1,
            "Print file": "{}.out".format(test_name),
            "Summary file": "{}_summary.out".format(test_name),
        }

        # Optimizer
        try:
            opt = SNOPT(options=optOptions)
        except Error:
            raise unittest.SkipTest("Optimizer not available: SNOPT")

        opt(optProb, sens=sens)
Пример #18
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    def optimize(self, optName, optOptions={}, storeHistory=False, places=5):
        # Optimization Object
        optProb = Optimization('HS15 Constraint Problem', self.objfunc)

        # Design Variables
        lower = [-5.0, -5.0]
        upper = [0.5, 5.0]
        value = [-2, 1.0]
        optProb.addVarGroup('xvars', 2, lower=lower, upper=upper, value=value)

        # Constraints
        lower = [1.0, 0.0]
        upper = [None, None]
        optProb.addConGroup('con', 2, lower=lower, upper=upper)

        # Objective
        optProb.addObj('obj')

        # Check optimization problem:
        # print(optProb)

        # Optimizer
        try:
            opt = OPT(optName, options=optOptions)
        except:
            raise unittest.SkipTest('Optimizer not available:', optName)

        # Solution
        if storeHistory:
            histFileName = '%s_hs015_Hist.hst' % (optName.lower())
        else:
            histFileName = None

        sol = opt(optProb, sens=self.sens, storeHistory=histFileName)

        # Test printing solution to screen
        print(sol)

        # Check Solution
        fobj = sol.objectives['obj'].value
        diff = np.min(np.abs([fobj - 306.5, fobj - 360.379767]))
        self.assertAlmostEqual(diff, 0.0, places=places)

        xstar1 = (0.5, 2.0)
        xstar2 = (-0.79212322, -1.26242985)
        x1 = sol.variables['xvars'][0].value
        x2 = sol.variables['xvars'][1].value

        dv = sol.getDVs()
        self.assertAlmostEqual(x1, dv['xvars'][0], places=10)
        self.assertAlmostEqual(x2, dv['xvars'][1], places=10)

        diff = np.min(np.abs([xstar1[0] - x1, xstar2[0] - x1]))
        self.assertAlmostEqual(diff, 0.0, places=places)

        diff = np.min(np.abs([xstar1[1] - x2, xstar2[1] - x2]))
        self.assertAlmostEqual(diff, 0.0, places=places)
Пример #19
0
    def setup_optProb(self, sparse=True):
        # set N
        if sparse:
            self.N = 10000
        else:
            self.N = 500

        # Optimization Object
        self.optProb = Optimization("large and sparse",
                                    self.objfunc,
                                    sens=self.sens)

        # Design Variables
        self.optProb.addVar("x", lower=-100, upper=150, value=0)
        self.optProb.addVarGroup("y",
                                 self.N,
                                 lower=-10 - np.arange(self.N),
                                 upper=np.arange(self.N),
                                 value=0)
        self.optProb.addVarGroup("z",
                                 2 * self.N,
                                 upper=np.arange(2 * self.N),
                                 lower=-100 - np.arange(2 * self.N),
                                 value=0)

        # Constraints
        self.optProb.addCon("con1", upper=100, wrt=["x"])
        self.optProb.addCon("con2", upper=100)
        self.optProb.addCon("con3", lower=4, wrt=["x", "z"])
        xJac = np.ones((self.N, 1))
        if sparse:
            yJac = scipy.sparse.spdiags(np.ones(self.N), 0, self.N, self.N)
        else:
            yJac = np.eye(self.N)
        self.optProb.addConGroup(
            "lincon",
            self.N,
            lower=2 - 3 * np.arange(self.N),
            linear=True,
            wrt=["x", "y"],
            jac={
                "x": xJac,
                "y": yJac
            },
        )
        self.optProb.addObj("obj")
    def test_obj(self):
        termcomp = TerminateComp(max_obj=2)
        optProb = Optimization("Paraboloid", termcomp.objfunc)

        optProb.addVarGroup("x",
                            1,
                            varType="c",
                            lower=-50.0,
                            upper=50.0,
                            value=0.0)
        optProb.addVarGroup("y",
                            1,
                            varType="c",
                            lower=-50.0,
                            upper=50.0,
                            value=0.0)

        optProb.addObj("obj")

        optProb.addConGroup("con",
                            1,
                            lower=-15.0,
                            upper=-15.0,
                            wrt=["x", "y"],
                            linear=True,
                            jac=con_jac)

        test_name = "SNOPT_user_termination_obj"
        optOptions = {
            "Print file": f"{test_name}.out",
            "Summary file": f"{test_name}_summary.out",
        }
        try:
            opt = SNOPT(options=optOptions)
        except Error as e:
            if "There was an error importing" in e.message:
                raise unittest.SkipTest("Optimizer not available: SNOPT")
            raise e

        sol = opt(optProb, sens=termcomp.sens)

        self.assertEqual(termcomp.obj_count, 3)

        # Exit code for user requested termination.
        self.assertEqual(sol.optInform["value"], 71)
Пример #21
0
    def test_opt_bug_print_2con(self):
        # Optimization Object
        optProb = Optimization("Paraboloid", objfunc_2con)

        # Design Variables
        optProb.addVarGroup("x", 1, varType="c", lower=-50.0, upper=50.0, value=0.0)
        optProb.addVarGroup("y", 1, varType="c", lower=-50.0, upper=50.0, value=0.0)

        # Objective
        optProb.addObj("obj")

        con_jac2 = {}
        con_jac2["x"] = -np.ones((2, 1))
        con_jac2["y"] = np.ones((2, 1))

        con_jac3 = {}
        con_jac3["x"] = -np.ones((3, 1))
        con_jac3["y"] = np.ones((3, 1))

        # Equality Constraint
        optProb.addConGroup("con", 2, lower=-15.0, upper=-15.0, wrt=["x", "y"], linear=True, jac=con_jac2)
        optProb.addConGroup("con2", 3, lower=-15.0, upper=-15.0, wrt=["x", "y"], linear=True, jac=con_jac3)

        # Check optimization problem:
        print(optProb)

        test_name = "bugfix_SNOPT_bug_print_2con"
        optOptions = {
            "Major feasibility tolerance": 1e-1,
            "Print file": f"{test_name}.out",
            "Summary file": f"{test_name}_summary.out",
        }

        # Optimizer
        try:
            opt = SNOPT(options=optOptions)
        except Error as e:
            if "There was an error importing" in e.message:
                raise unittest.SkipTest("Optimizer not available: SNOPT")
            raise e

        sol = opt(optProb, sens=sens)

        print(sol)
Пример #22
0
def pyopt_truss(truss, optimizer='snopt', options={}):
    '''
    Take the given problem and optimize it with the given optimizer
    from the pyOptSparse library of optimizers.
    '''
    # Import the optimization problem
    from pyoptsparse import Optimization, OPT

    class pyOptWrapper:
        def __init__(self, truss):
            self.truss = truss

        def objcon(self, x):
            fail, obj, con = self.truss.evalObjCon(x['x'])
            funcs = {'objective': obj, 'con': con}
            return funcs, fail

        def gobjcon(self, x, funcs):
            g = np.zeros(x['x'].shape)
            A = np.zeros((1, x['x'].shape[0]))
            fail = self.truss.evalObjConGradient(x['x'], g, A)
            sens = {'objective': {'x': g}, 'con': {'x': A}}
            return sens, fail

    # Set the design variables
    wrap = pyOptWrapper(truss)
    prob = Optimization('Truss', wrap.objcon)

    # Determine the initial variable values and their lower/upper
    # bounds in the design problem
    n = len(truss.conn)
    x0 = np.zeros(n)
    lower = np.zeros(n)
    upper = np.zeros(n)
    truss.getVarsAndBounds(x0, lower, upper)

    # Set the variable bounds and initial values
    prob.addVarGroup('x', n, value=x0, lower=lower, upper=upper)

    # Set the constraints
    prob.addConGroup('con', 1, lower=0.0, upper=0.0)

    # Add the objective
    prob.addObj('objective')

    # Optimize the problem
    try:
        opt = OPT(optimizer, options=options)
        sol = opt(prob, sens=wrap.gobjcon)
    except:
        opt = None
        sol = None

    return opt, prob, sol
Пример #23
0
    def setup_optProb(self):
        # Optimization Object
        self.optProb = Optimization("HS15 Constraint Problem", self.objfunc)

        # Design Variables
        lower = [-5.0, -5.0]
        upper = [0.5, 5.0]
        value = [-2, 1.0]
        self.optProb.addVarGroup("xvars",
                                 2,
                                 lower=lower,
                                 upper=upper,
                                 value=value)

        # Constraints
        lower = [1.0, 0.0]
        upper = [None, None]
        self.optProb.addConGroup("con", 2, lower=lower, upper=upper)

        # Objective
        self.optProb.addObj("obj")
    def test_opt(self):
        # Instantiate Optimization Problem
        optProb = Optimization("Rosenbrock function", objfunc)
        optProb.addVar("x", "c", value=0, lower=-600, upper=600)
        optProb.addVar("y", "c", value=0, lower=-600, upper=600)

        optProb.addObj("obj1")
        optProb.addObj("obj2")

        # 300 generations will find x=(0,0), 200 or less will find x=(1,1)
        options = {"maxGen": 200}

        # Optimizer
        try:
            opt = NSGA2(options=options)
        except Error:
            raise unittest.SkipTest("Optimizer not available:", "NSGA2")

        sol = opt(optProb)

        # Check Solution
        tol = 1e-2
        assert_allclose(sol.variables["x"][0].value, 1.0, atol=tol, rtol=tol)

        assert_allclose(sol.variables["y"][0].value, 1.0, atol=tol, rtol=tol)
Пример #25
0
    def setup_optProb(self):
        # Optimization Object
        self.optProb = Optimization("TP109 Constraint Problem", self.objfunc)

        # Design Variables
        lower = [0.0, 0.0, -0.55, -0.55, 196, 196, 196, -400, -400]
        upper = [None, None, 0.55, 0.55, 252, 252, 252, 800, 800]
        value = [0, 0, 0, 0, 0, 0, 0, 0, 0]
        self.optProb.addVarGroup("xvars",
                                 9,
                                 lower=lower,
                                 upper=upper,
                                 value=value)

        # Constraints
        lower = [0, 0, 0, 0, 0, 0, 0, 0]
        upper = [None, None, 0, 0, 0, 0, 0, 0]
        if not USE_LINEAR:
            lower.extend([0, 0])
            upper.extend([None, None])

        self.optProb.addConGroup("con", len(lower), lower=lower, upper=upper)

        # And the 2 linear constriants
        if USE_LINEAR:
            jac = np.zeros((1, 9))
            jac[0, 3] = 1.0
            jac[0, 2] = -1.0
            self.optProb.addConGroup("lin_con",
                                     1,
                                     lower=-0.55,
                                     upper=0.55,
                                     wrt=["xvars"],
                                     jac={"xvars": jac},
                                     linear=True)

        # Objective
        self.optProb.addObj("obj")
Пример #26
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    def setup_optProb(self, sparse=True):
        # set N
        if sparse:
            self.N = 10000
        else:
            self.N = 500

        # Optimization Object
        self.optProb = Optimization("large and sparse", self.objfunc, sens=self.sens)

        # Design Variables
        self.optProb.addVar("x", lower=-100, upper=150, value=0)
        self.optProb.addVarGroup("y", self.N, lower=-10 - np.arange(self.N), upper=np.arange(self.N), value=0)
        self.optProb.addVarGroup(
            "z", 2 * self.N, upper=np.arange(2 * self.N), lower=-100 - np.arange(2 * self.N), value=0
        )

        # Constraints
        self.optProb.addCon("con1", upper=100, wrt=["x"])
        self.optProb.addCon("con2", upper=100)
        self.optProb.addCon("con3", lower=4, wrt=["x", "z"])
        xJac = np.ones((self.N, 1))
        if sparse:
            rows_cols = np.array([i for i in range(0, self.N)]).astype(int)
            yJac = {"coo": [rows_cols, rows_cols, np.ones(self.N)], "shape": [self.N, self.N]}
        else:
            yJac = np.eye(self.N)
        self.optProb.addConGroup(
            "lincon",
            self.N,
            lower=2 - 3 * np.arange(self.N),
            linear=True,
            wrt=["x", "y"],
            jac={"x": xJac, "y": yJac},
        )
        self.optProb.addObj("obj")
Пример #27
0
    def optimize(self, x0, alg='IPOPT', options={}):
        opt = {}
        opt.update(options)
        def objfun(xdict):
            V = xdict['V']
            b = xdict['b']
            c = xdict['c']
            al = xdict['al']
            A, fail = self.ll(V, b, c, al)
            funcs= {
                'obj':10000. if fail else self.DoverL(V, b, c, al, A)
            }
            return funcs, fail
        optProb = Optimization('llOpt', objfun)
        ub = self.get_vars(self.bounds.ub, dic=True)
        lb = self.get_vars(self.bounds.lb, dic=True)
        x0 = self.get_vars(x0, dic=True)
        optProb.addVar('V', upper=ub['V'], lower=lb['V'], value=x0['V'])
        optProb.addVar('b', upper=ub['b'], lower=lb['b'], value=x0['b'])
        optProb.addVarGroup('c', self.N_th, upper=ub['c'], lower=lb['c'], value=x0['c'])
        optProb.addVarGroup('al', self.N_th, upper=ub['al'], lower=lb['al'], value=x0['al'])
        optProb.addObj('obj')

        if alg== "IPOPT":
            opt = OPT(alg, options=options)
            sol = opt(optProb, sens='FD')
        else:
            raise NotImplementedError(f"No routine for algorithm {alg}")
        D = dict(
        al = [a.value for a in sol.variables['al']],
        c = [a.value for a in sol.variables['c']],
        b = sol.variables['b'][0].value,
        V = sol.variables['V'][0].value
        )
        x = self.set_vars(D)[0]
        return x, sol
Пример #28
0
    def optimize(self, optName, tol, optOptions={}, storeHistory=False, hotStart=None):
        self.nf = 0  # number of function evaluations
        self.ng = 0  # number of gradient evaluations
        # Optimization Object

        optProb = Optimization("Rosenbrock Problem", self.objfunc)

        n = 4  # Number of design variables
        np.random.seed(10)
        value = np.random.normal(size=n)

        lower = np.ones(n) * -50
        upper = np.ones(n) * 50
        optProb.addVarGroup("xvars", n, lower=lower, upper=upper, value=value)

        # Objective
        optProb.addObj("obj")

        # Check optimization problem:
        print(optProb)

        # Optimizer
        try:
            opt = OPT(optName, options=optOptions)
        except Error:
            raise unittest.SkipTest("Optimizer not available:", optName)

        # Solution
        if storeHistory is not None:
            if storeHistory is True:
                self.histFileName = "%s_Rsbrk_Hist.hst" % (optName.lower())
            elif isinstance(storeHistory, str):
                self.histFileName = storeHistory
        else:
            self.histFileName = None

        sol = opt(optProb, sens=self.sens, storeHistory=self.histFileName, hotStart=hotStart)

        # Test printing solution to screen
        print(sol)

        # Check Solution
        self.fStar1 = 0.0

        self.xStar1 = np.ones(n)

        dv = sol.getDVs()
        sol_xvars = [sol.variables["xvars"][i].value for i in range(n)]

        assert_allclose(sol_xvars, dv["xvars"], atol=tol, rtol=tol)
        assert_allclose(dv["xvars"], self.xStar1, atol=tol, rtol=tol)
        if optName == "SNOPT" and opt.version != "7.7.7":
            assert_allclose(sol.objectives["obj"].value, self.fStar1, atol=tol, rtol=tol)
        else:
            assert_allclose(sol.fStar, self.fStar1, atol=tol, rtol=tol)
Пример #29
0
    def test_opt_bug1(self):
        # Due to a new feature, there is a TypeError when you optimize a model without a constraint.
        optProb = Optimization('Paraboloid', objfunc_no_con)

        # Design Variables
        optProb.addVarGroup('x', 1, type='c', lower=-50.0, upper=50.0, value=0.0)
        optProb.addVarGroup('y', 1, type='c', lower=-50.0, upper=50.0, value=0.0)
        optProb.finalizeDesignVariables()

        # Objective
        optProb.addObj('obj')

        # Optimizer
        try:
            opt = SNOPT(optOptions = {'Major feasibility tolerance' : 1e-1})
        except:
            raise unittest.SkipTest('Optimizer not available: SNOPT')

        sol = opt(optProb, sens=sens)
Пример #30
0
    def optimize(self, optName, optOptions={}, storeHistory=False):
        # Optimization Object
        optProb = Optimization('HS15 Constraint Problem', self.objfunc)

        # Design Variables
        lower = [-5, -5]
        upper = [0.5, 5]
        value = [-2, 1]
        optProb.addVarGroup('xvars', 2, lower=lower, upper=upper, value=value)

        # Constraints
        lower = [1, 0]
        upper = [None, None]
        optProb.addConGroup('con', 2, lower=lower, upper=upper)

        # Objective
        optProb.addObj('obj')

        # Check optimization problem:
        # print(optProb)

        # Optimizer
        try:
            opt = OPT(optName, options=optOptions)
        except:
            raise unittest.SkipTest('Optimizer not available:', optName)

        # Solution
        if storeHistory:
            histFileName = '%s_hs015_Hist.hst' % (optName.lower())
        else:
            histFileName = None

        sol = opt(optProb, sens=self.sens, storeHistory=histFileName)

        # Check Solution
        self.assertAlmostEqual(sol.objectives['obj'].value, 306.5)

        self.assertAlmostEqual(sol.variables['xvars'][0].value, 0.5)
        self.assertAlmostEqual(sol.variables['xvars'][1].value, 2.0)
Пример #31
0
    def setUp(self):
        # construct MP
        self.MP = multiPointSparse(gcomm)
        for setName in SET_NAMES:
            comm_size = COMM_SIZES[setName]
            self.MP.addProcessorSet(setName,
                                    nMembers=len(comm_size),
                                    memberSizes=comm_size)

        self.comm, self.setComm, self.setFlags, self.groupFlags, self.ptID = self.MP.createCommunicators(
        )

        for setName in SET_NAMES:
            self.MP.addProcSetObjFunc(setName, SET_FUNC_HANDLES[setName][0])
            self.MP.addProcSetSensFunc(setName, SET_FUNC_HANDLES[setName][1])

        # construct optProb
        optProb = Optimization("multipoint test", self.MP.obj)
        for dv in DVS:
            optProb.addVar(dv)
        optProb.addObj("total_drag")
        self.MP.setObjCon(objCon)
        self.MP.setOptProb(optProb)
Пример #32
0
    def __call__(self, optimizer, options=None):
        """ Run optimization """
        system = self._system
        variables = self._variables

        opt_prob = OptProblem('Optimization', self.obj_func)
        for dv_name in variables['dv'].keys():
            dv = variables['dv'][dv_name]
            dv_id = dv['ID']
            value = dv['value']
            lower = dv['lower']
            upper = dv['upper']
            size = system.vec['u'](dv_id).shape[0]
            opt_prob.addVarGroup(dv_name, size, value=value,
                                 lower=lower, upper=upper)
        opt_prob.finalizeDesignVariables()
        for func_name in variables['func'].keys():
            func = variables['func'][func_name]
            func_id = func['ID']
            lower = func['lower']
            upper = func['upper']
            linear = func['linear']
            get_jacs = func['get_jacs']
            size = system.vec['u'](func_id).shape[0]
            if lower is None and upper is None:
                opt_prob.addObj(func_name)
            else:
                if func['get_jacs'] is None:
                    opt_prob.addConGroup(func_name, size,
                                         lower=lower, upper=upper)
                else:
                    jacs_var = get_jacs()

                    dv_names = []
                    jacs = {}
                    for dv_var in jacs_var:
                        dv_id = self._system.get_id(dv_var)
                        dv_name = self._get_name(dv_id)
                        dv_names.append(dv_name)
                        jacs[dv_name] = jacs_var[dv_var]

                    opt_prob.addConGroup(func_name, size,
                                         wrt=dv_names,
                                         jac=jacs, linear=linear,
                                         lower=lower, upper=upper)

        if options is None:
            options = {}

        opt = Optimizer(optimizer, options=options)
        opt.setOption('Iterations limit', int(1e6))
        #opt.setOption('Verify level', 3)
        sol = opt(opt_prob, sens=self.sens_func, storeHistory='hist.hst')
        print sol
def fit(s,t,length,plot,comp,read_data,opt_print):
    global xd
    
    global pos1d
    global pos2d
    global pos3d
    global pos4d
    global pos5d
    global pos6d
    global pos7d
    global pos8d
    global pos9d
    global pos10d
    global pos11d
    global pos12d
    global pos13d
    global pos14d
    global pos15d
    global pos16d
    global pos17d
    global pos18d
    global pos19d
    global pos20d
    global pos21d
    global pos22d
    global pos23d
    global pos24d
    global pos25d
    global pos26d
    global pos27d
    global pos28d
    global pos29d
    global pos30d
    
    global velo1d
    global velo2d
    global velo3d
    global velo4d
    global velo5d
    global velo6d
    global velo7d
    global velo8d
    global velo9d
    global velo10d
    global velo11d
    global velo12d
    global velo13d
    global velo14d
    global velo15d
    global velo16d
    global velo17d
    global velo18d
    global velo19d
    global velo20d
    global velo21d
    global velo22d
    global velo23d
    global velo24d
    global velo25d
    global velo26d
    global velo27d
    global velo28d
    global velo29d
    global velo30d
    
    t2 = t+'.0'

    wfit = s+'_'+t2
    wfit2 = s+'_'+t2
    wfit3 = s+'_'+t2
    wfit4 = s+'_'+t2
    wfit5 = s+'_'+t2
    wfit6 = s+'_'+t2

    length2 = length
    length3 = length
    length4 = length
    length5 = length
    length6 = length
    wind = 15.
    wind2 = 14.
    wind3 = 12.
    wind4 = 16.

    rad = 3.
    dia = rad*2.
    tsr = float(wfit[3]+'.'+wfit[4]+wfit[5])
    rot = tsr*wind/rad
    rot2 = tsr*wind2/rad
    rot3 = tsr*wind3/rad
    rot4 = tsr*wind4/rad
    rot5 = 17.
    rot6 = 18.
    wind5 = rot5*rad/tsr
    wind6 = rot6*rad/tsr

    if comp == 'mac':
        # fdata = '/Users/ning1/Documents/Flow Lab/STAR-CCM+/NACA0021/MoveForward/test.csv'
        fdata = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/Velocity Sections/'+wfit+'.csv'
        fdata2 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/vel14/Velocity/'+wfit2+'.csv'
        fdata3 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/vel12/Velocity/'+wfit3+'.csv'
        fdata4 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/vel16/Velocity/'+wfit4+'.csv'
        fdata5 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/rot17/Velocity/'+wfit5+'.csv'
        fdata6 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/rot18/Velocity/'+wfit6+'.csv'
    elif comp == 'fsl':
        fdata = '/fslhome/ebtingey/compute/moveForward/Velocity/'+wfit+'.csv'
        fdata2 = '/fslhome/ebtingey/compute/moveForward/vel14/Velocity/'+wfit2+'.csv'
        fdata3 = '/fslhome/ebtingey/compute/moveForward/vel12/Velocity/'+wfit3+'.csv'
        fdata4 = '/fslhome/ebtingey/compute/moveForward/vel16/Velocity/'+wfit4+'.csv'
        fdata5 = '/fslhome/ebtingey/compute/moveForward/rot17/Velocity/'+wfit5+'.csv'
        fdata6 = '/fslhome/ebtingey/compute/moveForward/rot18/Velocity/'+wfit6+'.csv'
    elif comp == 'win':
        fdata = 'C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//Velocity Sections//'+wfit+'.csv'
        fdata2 = 'C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//CrossValidate//vel14//Velocity//'+wfit2+'.csv'
        fdata3 = 'C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//CrossValidate//vel12//Velocity//'+wfit3+'.csv'
        fdata4 = 'C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//CrossValidate//vel16//Velocity//'+wfit4+'.csv'
        fdata5 = 'C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//CrossValidate//rot17//Velocity//'+wfit5+'.csv'
        fdata6 = 'C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//CrossValidate//rot18//Velocity//'+wfit6+'.csv'



    if read_data ==1:
        pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read(np.array([fdata]),dia,np.array([wind]),opt_print)
    if read_data ==2:
        pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read(np.array([fdata,fdata2]),dia,np.array([wind,wind2]),opt_print)
    if read_data ==3:
        pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read(np.array([fdata,fdata2,fdata3]),dia,np.array([wind,wind2,wind3]),opt_print)
    if read_data ==4:
        pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read(np.array([fdata,fdata2,fdata3,fdata4]),dia,np.array([wind,wind2,wind3,wind4]),opt_print)
    if read_data ==5:
        pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read(np.array([fdata,fdata2,fdata3,fdata4,fdata5]),dia,np.array([wind,wind2,wind3,wind4,wind5]),opt_print)
    if read_data ==6:
        pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read(np.array([fdata,fdata2,fdata3,fdata4,fdata5,fdata6]),dia,np.array([wind,wind2,wind3,wind4,wind5,wind6]),opt_print)
    
    start = length/30.
    xd = np.linspace(start,length,30)/dia
    
    
    
## Optimization
    optProb = Optimization('VAWTWake_Velo', obj_func)
    optProb.addObj('obj')
    
    param0 = np.array([2.91638655e-04,  -1.70286993e-03 ,  2.38051673e-02 , 7.65610623e-01,6.40509205e-02  , 6.99046413e-01,   7.83484187e-01  , 4.55408268e-01, 1.18716383e-01  , 2.05484572e+01 , -2.67741935e+00  , 4.43022575e+01,-2.10925147e+00  , 3.30400554e+01])
    
    # param0 = np.array([-0.000168794,0.005413905,-0.151372907,0.194333896,-29.52514866,-5.555943879,0.350540531,106.116331,0.000304188,17.4218187,30.06169144,47.3929253,32.97190468,33.4188042])
    # param0 = np.array([-0.430957043,0.202977737,0.20361798,-0.818862214,-1.568705068,0.753568492,0.255557818,0.162385094,3.7137047,19.67995783,31.32756058,77.24259087,13.72492175,48.22628446])
    
    # param0 = np.array([-0.0002347,0.0094285,-0.2262108,0.0847296,0.7634520,5.0331194,0.3964091,6.0135974,0.0052853,19.9466507,-2.0322239,47.3381111,-1.1426171,27.5907093])
    param_l = np.array([-1.,-1,-1.,-1.,-1,-1.,0.,0.,0.,None,0.,None,0.]) 
    param_u = np.array([1.,1.,1.,1.,1.,1.,None,None,None,0.,None,0.,None])
    param_l = np.array([None,None,None,0.,0.,0.,0.,0.,0.,0.,None,0.,None,0.])
    param_u = np.array([None,None,None,None,None,None,None,None,None,None,0.,None,0.,None])
    
    nparam = np.size(param0)
    optProb.addVarGroup('param', nparam, 'c', lower=param_l, upper=param_u, value=param0)
    
    opt = SNOPT()
    opt.setOption('Scale option',2)
    if comp == 'mac':
        opt.setOption('Print file','/Users/ning1/Documents/FLOW Lab/VAWTWakeModel/wake_model/data/OptVel/SNOPT_print'+s+'_'+t+'.out')
        opt.setOption('Summary file','/Users/ning1/Documents/FLOW Lab/VAWTWakeModel/wake_model/data/OptVel/SNOPT_summary'+s+'_'+t+'.out')
    elif comp == 'fsl':
        opt.setOption('Print file','/fslhome/ebtingey/compute/VAWTWakeModel/OptVel/SNOPT_print'+s+'_'+t+'.out')
        opt.setOption('Summary file','/fslhome/ebtingey/compute/VAWTWakeModel/OptVel/SNOPT_summary'+s+'_'+t+'.out')
    elif comp == 'win':
        opt.setOption('Print file','C://Users//TingeyPC//Documents//FLOW Lab//VAWTWakeModel//wake_model//data//optVel//SNOPT_print'+s+'_'+t+'.out')
        opt.setOption('Summary file','C://Users//TingeyPC//Documents//FLOW Lab//VAWTWakeModel//wake_model//data//OptVel//SNOPT_summary'+s+'_'+t+'.out')
    res = opt(optProb, sens=None)
    if opt_print == True:
        print res
    
    pow = res.fStar
    paramf = res.xStar['param']
    if opt_print == True:
        print paramf[0]
        print paramf[1]
        print paramf[2]
        print paramf[3]
        print paramf[4]
        print paramf[5]
        print paramf[6]
        print paramf[7]
        print paramf[8]
        print paramf[9]
        print paramf[10]
        print paramf[11]
        print paramf[12]
        print paramf[13]
    
    men = np.array([paramf[0],paramf[1],paramf[2]])
    spr = np.array([paramf[3],paramf[4],paramf[5],paramf[6]])
    scl = np.array([paramf[7],paramf[8],paramf[9]])
    rat = np.array([paramf[10],paramf[11]])
    tns = np.array([paramf[12],paramf[13]])
    
    paper = False
    
    if plot == True:
        if paper == True:
            for i in range(30):
                name = str(i+1)
                ind = str(i)
                plt.figure(1)
                ax1 = plt.subplot(5,6,i+1)
                color = 'bo'
                color2 = 'r-'
                fs = 15
                lab = 'CFD'
                lab2 = 'Trend'
                tex = '$x/D$ = '+str("{0:.2f}".format(x[i]/dia))
                exec('xfit = np.linspace(min(pos'+name+'/dia)-1.,max(pos'+name+'/dia)+1.,500)')
                if i == 5:
                    exec('xfit = np.linspace(min(pos'+name+'d)-1.,max(pos'+name+'d)+1.,500)')
                    exec('plt.plot(velo'+name+'d,pos'+name+'d,color,label=lab)')
                    men_v,spr_v,scl_v,rat_v,tns_v = paramfit(xd[i],men,spr,scl,rat,tns)
                    plt.plot(veldist(xfit,men_v,spr_v,scl_v,rat_v,tns_v),xfit,'r-',linewidth=2,label=lab2)
                    plt.xlim(0.,1.5)
                    # plt.ylim(-4.,4.)
                    plt.legend(loc="upper left", bbox_to_anchor=(1,1),fontsize=fs)
                else:
                    exec('xfit = np.linspace(min(pos'+name+'d)-1.,max(pos'+name+'d)+1.,500)')
                    exec('plt.plot(velo'+name+'d,pos'+name+'d,color)')
                    men_v,spr_v,scl_v,rat_v,tns_v = paramfit(xd[i],men,spr,scl,rat,tns)
                    plt.plot(veldist(xfit,men_v,spr_v,scl_v,rat_v,tns_v),xfit,'r-',linewidth=2)
                    plt.xlim(0.,1.5)
                    # plt.ylim(-4.,4.)
                plt.text(0.3,0.8,tex,fontsize=fs)
                if i <= 23:
                    plt.setp(ax1.get_xticklabels(), visible=False)
                else:
                    plt.xlabel('$y/D$',fontsize=fs)
                    plt.xticks(fontsize=fs)
                if i == 0 or i == 6 or i == 12 or i == 18 or i ==24:
                    plt.ylabel(r'$u/U_\infty$',fontsize=fs)
                    plt.yticks(fontsize=fs)
                else:
                    plt.setp(ax1.get_yticklabels(), visible=False)


        elif paper == False:
            for i in range(30):
                name = str(i+1)
                plt.figure(1)
                plt.subplot(5,6,i+1)
                color = 'bo'
                exec('xfit = np.linspace(min(pos'+name+'d)-1.,max(pos'+name+'d)+1.,500)')
                exec('plt.plot(velo'+name+'d,pos'+name+'d,color)')
                men_v,spr_v,scl_v,rat_v,tns_v = paramfit(xd[i],men,spr,scl,rat,tns)
                plt.plot(veldist(xfit,men_v,spr_v,scl_v,rat_v,tns_v),xfit,'r-',linewidth=2)
                plt.xlim(0.,1.5)
                # plt.ylim(-4.,4.)
                # plt.legend(loc=1)
                plt.xlabel('Normalized Velocity')
                plt.ylabel('$y/D$')
    
    return men,spr,scl,rat,tns
def fit(s,t,length,plot,comp,read_data,opt_print):
    global posdn
    global poslt
    global velod

    t2 = t+'.0'

    wfit = s+'_'+t2
    wfit2 = s+'_'+t2
    wfit3 = s+'_'+t2
    wfit4 = s+'_'+t2
    wfit5 = s+'_'+t2
    wfit6 = s+'_'+t2

    length2 = length
    length3 = length
    length4 = length
    length5 = length
    length6 = length
    wind = 15.
    wind2 = 14.
    wind3 = 12.
    wind4 = 16.

    rad = 3.
    dia = rad*2.
    tsr = float(wfit[3]+'.'+wfit[4]+wfit[5])
    rot = tsr*wind/rad
    rot2 = tsr*wind2/rad
    rot3 = tsr*wind3/rad
    rot4 = tsr*wind4/rad
    rot5 = 17.
    rot6 = 18.
    wind5 = rot5*rad/tsr
    wind6 = rot6*rad/tsr

    if comp == 'mac':
        # fdata = '/Users/ning1/Documents/Flow Lab/STAR-CCM+/NACA0021/MoveForward/test.csv'
        fdata = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/Velocity Sections/'+wfit+'.csv'
        fdata2 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/vel14/Velocity/'+wfit2+'.csv'
        fdata3 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/vel12/Velocity/'+wfit3+'.csv'
        fdata4 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/vel16/Velocity/'+wfit4+'.csv'
        fdata5 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/rot17/Velocity/'+wfit5+'.csv'
        fdata6 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/rot18/Velocity/'+wfit6+'.csv'
    elif comp == 'fsl':
        fdata = '/fslhome/ebtingey/compute/moveForward/Velocity/'+wfit+'.csv'
        fdata2 = '/fslhome/ebtingey/compute/moveForward/vel14/Velocity/'+wfit2+'.csv'
        fdata3 = '/fslhome/ebtingey/compute/moveForward/vel12/Velocity/'+wfit3+'.csv'
        fdata4 = '/fslhome/ebtingey/compute/moveForward/vel16/Velocity/'+wfit4+'.csv'
        fdata5 = '/fslhome/ebtingey/compute/moveForward/rot17/Velocity/'+wfit5+'.csv'
        fdata6 = '/fslhome/ebtingey/compute/moveForward/rot18/Velocity/'+wfit6+'.csv'
    elif comp == 'win':
        fdata = 'C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//Velocity Sections//'+wfit+'.csv'
        fdata2 = 'C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//CrossValidate//vel14//Velocity//'+wfit2+'.csv'
        fdata3 = 'C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//CrossValidate//vel12//Velocity//'+wfit3+'.csv'
        fdata4 = 'C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//CrossValidate//vel16//Velocity//'+wfit4+'.csv'
        fdata5 = 'C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//CrossValidate//rot17//Velocity//'+wfit5+'.csv'
        fdata6 = 'C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//CrossValidate//rot18//Velocity//'+wfit6+'.csv'



    if read_data ==1:
        posdn,poslt,velod = starccm_read(np.array([fdata]),dia,np.array([wind]),length,opt_print)
    if read_data ==2:
        posdn,poslt,velod = starccm_read(np.array([fdata,fdata2]),dia,np.array([wind,wind2]),length,opt_print)
    if read_data ==3:
        posdn,poslt,velod = starccm_read(np.array([fdata,fdata2,fdata3]),dia,np.array([wind,wind2,wind3]),length,opt_print)
    if read_data ==4:
        posdn,poslt,velod = starccm_read(np.array([fdata,fdata2,fdata3,fdata4]),dia,np.array([wind,wind2,wind3,wind4]),length,opt_print)
    if read_data ==5:
        posdn,poslt,velod = starccm_read(np.array([fdata,fdata2,fdata3,fdata4,fdata5]),dia,np.array([wind,wind2,wind3,wind4,wind5]),length,opt_print)
    if read_data ==6:
        posdn,poslt,velod = starccm_read(np.array([fdata,fdata2,fdata3,fdata4,fdata5,fdata6]),dia,np.array([wind,wind2,wind3,wind4,wind5,wind6]),length,opt_print)

    if plot == True:
        if read_data ==1:
            pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read2(np.array([fdata]),dia,np.array([wind]),opt_print)
        if read_data ==2:
            pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read2(np.array([fdata,fdata2]),dia,np.array([wind,wind2]),opt_print)
        if read_data ==3:
            pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read2(np.array([fdata,fdata2,fdata3]),dia,np.array([wind,wind2,wind3]),opt_print)
        if read_data ==4:
            pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read2(np.array([fdata,fdata2,fdata3,fdata4]),dia,np.array([wind,wind2,wind3,wind4]),opt_print)
        if read_data ==5:
            pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read2(np.array([fdata,fdata2,fdata3,fdata4,fdata5]),dia,np.array([wind,wind2,wind3,wind4,wind5]),opt_print)
        if read_data ==6:
            pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read2(np.array([fdata,fdata2,fdata3,fdata4,fdata5,fdata6]),dia,np.array([wind,wind2,wind3,wind4,wind5,wind6]),opt_print)

        start = length/30.
        xd = np.linspace(start,length,30)/dia



## Optimization
    optProb = Optimization('VAWTWake_Velo', obj_func)
    optProb.addObj('obj')

    men0 = 0.
    sdv10 = 0.5
    sdv20 = 0.1
    sdv30 = 10.
    sdv40 = 0.5
    rat0 = 10.
    wdt0 = 10.
    spr10 = 0.5
    spr20 = 0.1
    spr30 = 20.
    spr40 = 1.
    scl10 = 0.5
    scl20 = 0.1
    scl30 = 40.


    # men0 = 0.107980482
    # sdv10 = 5.09E-01
    # sdv20 = 0.056288195
    # sdv30 = 50
    # sdv40 = 0.5
    # rat0 = 13.19127977
    # wdt0 = 14.20436344
    # spr10 = 1
    # spr20 = 0.010825
    # spr30 = 132.4282087
    # spr40 = 1
    # scl10 = 0.365635251
    # scl20 = 0.082475724
    # scl30 = 37.61946447

    men0 = -0.0138439642406
    sdv10 = 0.0
    sdv20 = 0.17803796067
    sdv30 = 9.69044107271
    sdv40 = 0.50982003115
    rat0 = 0.0
    wdt0 = 10.0
    spr10 = 0.998862596849
    spr20 = 1.47011550439e-05
    spr30 = 22.5386579407
    spr40 = 1.0
    scl10 = 0.380051328623
    scl20 = 0.134712758388
    scl30 = 45.7788575653

    men0 = -0.0384248691061
    sdv10 = 0.0
    sdv20 = 0.17803796067
    sdv30 = 9.69044107271
    sdv40 = 0.81447171018
    rat0 = 0.0
    wdt0 = 10.0
    spr10 = 0.0232236137751
    spr20 = 0.0
    spr30 = 12.6315271162
    spr40 = 9.75322269238
    scl10 = 0.357152390403
    scl20 = 0.135756021609
    scl30 = 33.8432403717




    param0 = np.array([men0,sdv10,sdv20,sdv30,sdv40,rat0,wdt0,spr10,spr20,spr30,spr40,scl10,scl20,scl30])

    param_l = np.array([None,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.])
    param_u = np.array([None,10.,1.,50.,None,None,None,1.,1.,50.,None,1.,1.,None])

    # param_l = np.array([None,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.])
    # param_u = np.array([None,10.,1.,None,None,None,None,None,None,None,None,1.,1.,None])

    # param_l = np.array([None,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.])
    # param_u = np.array([None,None,None,None,None,None,None,None,None,None,None,1.,1.,None])

    nparam = np.size(param0)
    optProb.addVarGroup('param', nparam, 'c', lower=param_l, upper=param_u, value=param0)

    opt = SNOPT()
    opt.setOption('Scale option',2)
    if comp == 'mac':
        opt.setOption('Print file','/Users/ning1/Documents/FLOW Lab/VAWTWakeModel/wake_model/data/OptVel/SNOPT_print'+s+'_'+t+'.out')
        opt.setOption('Summary file','/Users/ning1/Documents/FLOW Lab/VAWTWakeModel/wake_model/data/OptVel/SNOPT_summary'+s+'_'+t+'.out')
    elif comp == 'fsl':
        opt.setOption('Print file','/fslhome/ebtingey/compute/VAWTWakeModel/OptVel/SNOPT_print'+s+'_'+t+'.out')
        opt.setOption('Summary file','/fslhome/ebtingey/compute/VAWTWakeModel/OptVel/SNOPT_summary'+s+'_'+t+'.out')
    elif comp == 'win':
        opt.setOption('Print file','C://Users//TingeyPC//Documents//FLOW Lab//VAWTWakeModel//wake_model//data//optVel//SNOPT_print'+s+'_'+t+'.out')
        opt.setOption('Summary file','C://Users//TingeyPC//Documents//FLOW Lab//VAWTWakeModel//wake_model//data//OptVel//SNOPT_summary'+s+'_'+t+'.out')
    res = opt(optProb, sens=None)
    if opt_print == True:
        print res

    pow = res.fStar
    paramf = res.xStar['param']
    if opt_print == True:
        print paramf[0]
        print paramf[1]
        print paramf[2]
        print paramf[3]
        print paramf[4]
        print paramf[5]
        print paramf[6]
        print paramf[7]
        print paramf[8]
        print paramf[9]
        print paramf[10]
        print paramf[11]
        print paramf[12]
        print paramf[13]

    men = paramf[0]
    sdv1 = paramf[1]
    sdv2 = paramf[2]
    sdv3 = paramf[3]
    sdv4 = paramf[4]
    rat = paramf[5]
    wdt = paramf[6]
    spr1 = paramf[7]
    spr2 = paramf[8]
    spr3 = paramf[9]
    spr4 = paramf[10]
    scl1 = paramf[11]
    scl2 = paramf[12]
    scl3 = paramf[13]

    paper = False

    if plot == True:
        if paper == True:
            for i in range(30):
                name = str(i+1)
                ind = str(i)
                plt.figure(1)
                ax1 = plt.subplot(5,6,i+1)
                color = 'bo'
                color2 = 'r-'
                fs = 15
                lab = 'CFD'
                lab2 = 'Trend'
                tex = '$x/D$ = '+str("{0:.2f}".format(x[i]/dia))
                exec('xfit = np.linspace(min(pos'+name+'/dia)-1.,max(pos'+name+'/dia)+1.,500)')
                if i == 5:
                    exec('xfit = np.linspace(min(pos'+name+'d)-1.,max(pos'+name+'d)+1.,500)')
                    exec('plt.plot(velo'+name+'d,pos'+name+'d,color,label=lab)')
                    men_v,spr_v,scl_v,rat_v,spr_v = paramfit(xd[i],men,spr,scl,rat,spr)
                    plt.plot(veldist(xfit,men_v,spr_v,scl_v,rat_v,spr_v),xfit,'r-',linewidth=2,label=lab2)
                    plt.xlim(0.,1.5)
                    # plt.ylim(-4.,4.)
                    plt.legend(loc="upper left", bbox_to_anchor=(1,1),fontsize=fs)
                else:
                    exec('xfit = np.linspace(min(pos'+name+'d)-1.,max(pos'+name+'d)+1.,500)')
                    exec('plt.plot(velo'+name+'d,pos'+name+'d,color)')
                    men_v,spr_v,scl_v,rat_v,spr_v = paramfit(xd[i],men,spr,scl,rat,spr)
                    plt.plot(veldist(xfit,men_v,spr_v,scl_v,rat_v,spr_v),xfit,'r-',linewidth=2)
                    plt.xlim(0.,1.5)
                    # plt.ylim(-4.,4.)
                plt.text(0.3,0.8,tex,fontsize=fs)
                if i <= 23:
                    plt.setp(ax1.get_xticklabels(), visible=False)
                else:
                    plt.xlabel('$y/D$',fontsize=fs)
                    plt.xticks(fontsize=fs)
                if i == 0 or i == 6 or i == 12 or i == 18 or i ==24:
                    plt.ylabel(r'$u/U_\infty$',fontsize=fs)
                    plt.yticks(fontsize=fs)
                else:
                    plt.setp(ax1.get_yticklabels(), visible=False)


        elif paper == False:
            for i in range(30):
                name = str(i+1)
                plt.figure(1)
                plt.subplot(5,6,i+1)
                color = 'bo'
                exec('xfit = np.linspace(min(pos'+name+'d)-1.,max(pos'+name+'d)+1.,500)')
                exec('plt.plot(velo'+name+'d,pos'+name+'d,color)')
                plt.plot(veldist(xd[i],xfit,men,sdv1,sdv2,sdv3,sdv4,rat,wdt,spr1,spr2,spr3,spr4,scl1,scl2,scl3),xfit,'r-',linewidth=2)
                plt.xlim(0.,1.5)
                # plt.ylim(-4.,4.)
                # plt.legend(loc=1)
                plt.xlabel('Normalized Velocity')
                plt.ylabel('$y/D$')

    return men,sdv1,sdv2,sdv3,sdv4,rat,wdt,spr1,spr2,spr3,spr4,scl1,scl2,scl3
def fit(s, t, length, plot, comp, read_data, opt_print):
    global posdn
    global poslt
    global velod

    t2 = t + ".0"

    wfit = s + "_" + t2
    wfit2 = s + "_" + t2
    wfit3 = s + "_" + t2
    wfit4 = s + "_" + t2
    wfit5 = s + "_" + t2
    wfit6 = s + "_" + t2

    length2 = length
    length3 = length
    length4 = length
    length5 = length
    length6 = length
    wind = 15.0
    wind2 = 14.0
    wind3 = 12.0
    wind4 = 16.0

    rad = 3.0
    dia = rad * 2.0
    tsr = float(wfit[3] + "." + wfit[4] + wfit[5])
    rot = tsr * wind / rad
    rot2 = tsr * wind2 / rad
    rot3 = tsr * wind3 / rad
    rot4 = tsr * wind4 / rad
    rot5 = 17.0
    rot6 = 18.0
    wind5 = rot5 * rad / tsr
    wind6 = rot6 * rad / tsr

    if comp == "mac":
        # fdata = '/Users/ning1/Documents/Flow Lab/STAR-CCM+/NACA0021/MoveForward/test.csv'
        fdata = "/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/Velocity Sections/" + wfit + ".csv"
        fdata2 = (
            "/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/vel14/Velocity/"
            + wfit2
            + ".csv"
        )
        fdata3 = (
            "/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/vel12/Velocity/"
            + wfit3
            + ".csv"
        )
        fdata4 = (
            "/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/vel16/Velocity/"
            + wfit4
            + ".csv"
        )
        fdata5 = (
            "/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/rot17/Velocity/"
            + wfit5
            + ".csv"
        )
        fdata6 = (
            "/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/rot18/Velocity/"
            + wfit6
            + ".csv"
        )
    elif comp == "fsl":
        fdata = "/fslhome/ebtingey/compute/moveForward/Velocity/" + wfit + ".csv"
        fdata2 = "/fslhome/ebtingey/compute/moveForward/vel14/Velocity/" + wfit2 + ".csv"
        fdata3 = "/fslhome/ebtingey/compute/moveForward/vel12/Velocity/" + wfit3 + ".csv"
        fdata4 = "/fslhome/ebtingey/compute/moveForward/vel16/Velocity/" + wfit4 + ".csv"
        fdata5 = "/fslhome/ebtingey/compute/moveForward/rot17/Velocity/" + wfit5 + ".csv"
        fdata6 = "/fslhome/ebtingey/compute/moveForward/rot18/Velocity/" + wfit6 + ".csv"
    elif comp == "win":
        fdata = (
            "C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//Velocity Sections//"
            + wfit
            + ".csv"
        )
        fdata2 = (
            "C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//CrossValidate//vel14//Velocity//"
            + wfit2
            + ".csv"
        )
        fdata3 = (
            "C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//CrossValidate//vel12//Velocity//"
            + wfit3
            + ".csv"
        )
        fdata4 = (
            "C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//CrossValidate//vel16//Velocity//"
            + wfit4
            + ".csv"
        )
        fdata5 = (
            "C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//CrossValidate//rot17//Velocity//"
            + wfit5
            + ".csv"
        )
        fdata6 = (
            "C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//CrossValidate//rot18//Velocity//"
            + wfit6
            + ".csv"
        )

    if read_data == 1:
        posdn, poslt, velod = starccm_read(np.array([fdata]), dia, np.array([wind]), length, opt_print)
    if read_data == 2:
        posdn, poslt, velod = starccm_read(np.array([fdata, fdata2]), dia, np.array([wind, wind2]), length, opt_print)
    if read_data == 3:
        posdn, poslt, velod = starccm_read(
            np.array([fdata, fdata2, fdata3]), dia, np.array([wind, wind2, wind3]), length, opt_print
        )
    if read_data == 4:
        posdn, poslt, velod = starccm_read(
            np.array([fdata, fdata2, fdata3, fdata4]), dia, np.array([wind, wind2, wind3, wind4]), length, opt_print
        )
    if read_data == 5:
        posdn, poslt, velod = starccm_read(
            np.array([fdata, fdata2, fdata3, fdata4, fdata5]),
            dia,
            np.array([wind, wind2, wind3, wind4, wind5]),
            length,
            opt_print,
        )
    if read_data == 6:
        posdn, poslt, velod = starccm_read(
            np.array([fdata, fdata2, fdata3, fdata4, fdata5, fdata6]),
            dia,
            np.array([wind, wind2, wind3, wind4, wind5, wind6]),
            length,
            opt_print,
        )

    if plot == True:
        if read_data == 1:
            pos1d, pos2d, pos3d, pos4d, pos5d, pos6d, pos7d, pos8d, pos9d, pos10d, pos11d, pos12d, pos13d, pos14d, pos15d, pos16d, pos17d, pos18d, pos19d, pos20d, pos21d, pos22d, pos23d, pos24d, pos25d, pos26d, pos27d, pos28d, pos29d, pos30d, velo1d, velo2d, velo3d, velo4d, velo5d, velo6d, velo7d, velo8d, velo9d, velo10d, velo11d, velo12d, velo13d, velo14d, velo15d, velo16d, velo17d, velo18d, velo19d, velo20d, velo21d, velo22d, velo23d, velo24d, velo25d, velo26d, velo27d, velo28d, velo29d, velo30d = starccm_read2(
                np.array([fdata]), dia, np.array([wind]), opt_print
            )
        if read_data == 2:
            pos1d, pos2d, pos3d, pos4d, pos5d, pos6d, pos7d, pos8d, pos9d, pos10d, pos11d, pos12d, pos13d, pos14d, pos15d, pos16d, pos17d, pos18d, pos19d, pos20d, pos21d, pos22d, pos23d, pos24d, pos25d, pos26d, pos27d, pos28d, pos29d, pos30d, velo1d, velo2d, velo3d, velo4d, velo5d, velo6d, velo7d, velo8d, velo9d, velo10d, velo11d, velo12d, velo13d, velo14d, velo15d, velo16d, velo17d, velo18d, velo19d, velo20d, velo21d, velo22d, velo23d, velo24d, velo25d, velo26d, velo27d, velo28d, velo29d, velo30d = starccm_read2(
                np.array([fdata, fdata2]), dia, np.array([wind, wind2]), opt_print
            )
        if read_data == 3:
            pos1d, pos2d, pos3d, pos4d, pos5d, pos6d, pos7d, pos8d, pos9d, pos10d, pos11d, pos12d, pos13d, pos14d, pos15d, pos16d, pos17d, pos18d, pos19d, pos20d, pos21d, pos22d, pos23d, pos24d, pos25d, pos26d, pos27d, pos28d, pos29d, pos30d, velo1d, velo2d, velo3d, velo4d, velo5d, velo6d, velo7d, velo8d, velo9d, velo10d, velo11d, velo12d, velo13d, velo14d, velo15d, velo16d, velo17d, velo18d, velo19d, velo20d, velo21d, velo22d, velo23d, velo24d, velo25d, velo26d, velo27d, velo28d, velo29d, velo30d = starccm_read2(
                np.array([fdata, fdata2, fdata3]), dia, np.array([wind, wind2, wind3]), opt_print
            )
        if read_data == 4:
            pos1d, pos2d, pos3d, pos4d, pos5d, pos6d, pos7d, pos8d, pos9d, pos10d, pos11d, pos12d, pos13d, pos14d, pos15d, pos16d, pos17d, pos18d, pos19d, pos20d, pos21d, pos22d, pos23d, pos24d, pos25d, pos26d, pos27d, pos28d, pos29d, pos30d, velo1d, velo2d, velo3d, velo4d, velo5d, velo6d, velo7d, velo8d, velo9d, velo10d, velo11d, velo12d, velo13d, velo14d, velo15d, velo16d, velo17d, velo18d, velo19d, velo20d, velo21d, velo22d, velo23d, velo24d, velo25d, velo26d, velo27d, velo28d, velo29d, velo30d = starccm_read2(
                np.array([fdata, fdata2, fdata3, fdata4]), dia, np.array([wind, wind2, wind3, wind4]), opt_print
            )
        if read_data == 5:
            pos1d, pos2d, pos3d, pos4d, pos5d, pos6d, pos7d, pos8d, pos9d, pos10d, pos11d, pos12d, pos13d, pos14d, pos15d, pos16d, pos17d, pos18d, pos19d, pos20d, pos21d, pos22d, pos23d, pos24d, pos25d, pos26d, pos27d, pos28d, pos29d, pos30d, velo1d, velo2d, velo3d, velo4d, velo5d, velo6d, velo7d, velo8d, velo9d, velo10d, velo11d, velo12d, velo13d, velo14d, velo15d, velo16d, velo17d, velo18d, velo19d, velo20d, velo21d, velo22d, velo23d, velo24d, velo25d, velo26d, velo27d, velo28d, velo29d, velo30d = starccm_read2(
                np.array([fdata, fdata2, fdata3, fdata4, fdata5]),
                dia,
                np.array([wind, wind2, wind3, wind4, wind5]),
                opt_print,
            )
        if read_data == 6:
            pos1d, pos2d, pos3d, pos4d, pos5d, pos6d, pos7d, pos8d, pos9d, pos10d, pos11d, pos12d, pos13d, pos14d, pos15d, pos16d, pos17d, pos18d, pos19d, pos20d, pos21d, pos22d, pos23d, pos24d, pos25d, pos26d, pos27d, pos28d, pos29d, pos30d, velo1d, velo2d, velo3d, velo4d, velo5d, velo6d, velo7d, velo8d, velo9d, velo10d, velo11d, velo12d, velo13d, velo14d, velo15d, velo16d, velo17d, velo18d, velo19d, velo20d, velo21d, velo22d, velo23d, velo24d, velo25d, velo26d, velo27d, velo28d, velo29d, velo30d = starccm_read2(
                np.array([fdata, fdata2, fdata3, fdata4, fdata5, fdata6]),
                dia,
                np.array([wind, wind2, wind3, wind4, wind5, wind6]),
                opt_print,
            )

        start = length / 30.0
        xd = np.linspace(start, length, 30) / dia

    ## Optimization
    optProb = Optimization("VAWTWake_Velo", obj_func)
    optProb.addObj("obj")

    spr10 = 10.0
    pow10 = 10.0
    pow20 = 0.5
    pow30 = 1.0
    spr20 = 2.0
    skw0 = 0.0
    scl10 = 0.5
    scl20 = 0.1
    scl30 = 10.0

    spr10 = 10.0
    pow10 = 5.0
    pow20 = 0.5
    pow30 = 1.0
    spr20 = 2.0
    skw0 = 0.0
    scl10 = 0.5
    scl20 = 0.1
    scl30 = 20.0

    spr10 = 213.8593169
    pow10 = 10.39210953
    pow20 = 2.086951239
    pow30 = 0.035659319
    spr20 = 0.007589688
    skw0 = 10.63462155
    scl10 = 0.537566448
    scl20 = 0.041077603
    scl30 = 56.74689143

    spr10 = 100.0
    pow10 = 10.0
    pow20 = 0.5
    pow30 = 0.0  # 1.0
    spr20 = 20.0
    skw0 = 0.0
    scl10 = 0.5
    scl20 = 0.1
    scl30 = 10.0

    param0 = np.array([spr10, pow10, pow20, pow30, spr20, skw0, scl10, scl20, scl30])

    param_l = np.array([0.0, 0.0, 0.0, 0.0, 0.0, None, 0.0, 0.0, 0.0])
    param_u = np.array([None, None, None, None, None, None, 1.0, 1.0, None])

    nparam = np.size(param0)
    optProb.addVarGroup("param", nparam, "c", lower=param_l, upper=param_u, value=param0)

    opt = SNOPT()
    opt.setOption("Scale option", 2)
    if comp == "mac":
        opt.setOption(
            "Print file",
            "/Users/ning1/Documents/FLOW Lab/VAWTWakeModel/wake_model/data/OptVel/SNOPT_print" + s + "_" + t + ".out",
        )
        opt.setOption(
            "Summary file",
            "/Users/ning1/Documents/FLOW Lab/VAWTWakeModel/wake_model/data/OptVel/SNOPT_summary" + s + "_" + t + ".out",
        )
    elif comp == "fsl":
        opt.setOption("Print file", "/fslhome/ebtingey/compute/VAWTWakeModel/OptVel/SNOPT_print" + s + "_" + t + ".out")
        opt.setOption(
            "Summary file", "/fslhome/ebtingey/compute/VAWTWakeModel/OptVel/SNOPT_summary" + s + "_" + t + ".out"
        )
    elif comp == "win":
        opt.setOption(
            "Print file",
            "C://Users//TingeyPC//Documents//FLOW Lab//VAWTWakeModel//wake_model//data//optVel//SNOPT_print"
            + s
            + "_"
            + t
            + ".out",
        )
        opt.setOption(
            "Summary file",
            "C://Users//TingeyPC//Documents//FLOW Lab//VAWTWakeModel//wake_model//data//OptVel//SNOPT_summary"
            + s
            + "_"
            + t
            + ".out",
        )
    res = opt(optProb, sens=None)
    if opt_print == True:
        print res

    pow = res.fStar
    paramf = res.xStar["param"]
    if opt_print == True:
        print paramf[0]
        print paramf[1]
        print paramf[2]
        print paramf[3]
        print paramf[4]
        print paramf[5]
        print paramf[6]
        print paramf[7]
        print paramf[8]

    spr1 = paramf[0]
    pow1 = paramf[1]
    pow2 = paramf[2]
    pow3 = paramf[3]
    spr2 = paramf[4]
    skw = paramf[5]
    scl1 = paramf[6]
    scl2 = paramf[7]
    scl3 = paramf[8]

    paper = False

    if plot == True:
        if paper == True:
            for i in range(30):
                name = str(i + 1)
                ind = str(i)
                plt.figure(1)
                ax1 = plt.subplot(5, 6, i + 1)
                color = "bo"
                color2 = "r-"
                fs = 15
                lab = "CFD"
                lab2 = "Trend"
                tex = "$x/D$ = " + str("{0:.2f}".format(x[i] / dia))
                exec ("xfit = np.linspace(min(pos" + name + "/dia)-1.,max(pos" + name + "/dia)+1.,500)")
                if i == 5:
                    exec ("xfit = np.linspace(min(pos" + name + "d)-1.,max(pos" + name + "d)+1.,500)")
                    exec ("plt.plot(velo" + name + "d,pos" + name + "d,color,label=lab)")
                    skw_v, spr_v, scl_v, rat_v, spr_v = paramfit(xd[i], skw, spr, scl, rat, spr)
                    plt.plot(veldist(xfit, skw_v, spr_v, scl_v, rat_v, spr_v), xfit, "r-", linewidth=2, label=lab2)
                    plt.xlim(0.0, 1.5)
                    # plt.ylim(-4.,4.)
                    plt.legend(loc="upper left", bbox_to_anchor=(1, 1), fontsize=fs)
                else:
                    exec ("xfit = np.linspace(min(pos" + name + "d)-1.,max(pos" + name + "d)+1.,500)")
                    exec ("plt.plot(velo" + name + "d,pos" + name + "d,color)")
                    skw_v, spr_v, scl_v, rat_v, spr_v = paramfit(xd[i], skw, spr, scl, rat, spr)
                    plt.plot(veldist(xfit, skw_v, spr_v, scl_v, rat_v, spr_v), xfit, "r-", linewidth=2)
                    plt.xlim(0.0, 1.5)
                    # plt.ylim(-4.,4.)
                plt.text(0.3, 0.8, tex, fontsize=fs)
                if i <= 23:
                    plt.setp(ax1.get_xticklabels(), visible=False)
                else:
                    plt.xlabel("$y/D$", fontsize=fs)
                    plt.xticks(fontsize=fs)
                if i == 0 or i == 6 or i == 12 or i == 18 or i == 24:
                    plt.ylabel(r"$u/U_\infty$", fontsize=fs)
                    plt.yticks(fontsize=fs)
                else:
                    plt.setp(ax1.get_yticklabels(), visible=False)

        elif paper == False:
            for i in range(30):
                name = str(i + 1)
                plt.figure(1)
                plt.subplot(5, 6, i + 1)
                color = "bo"
                exec ("xfit = np.linspace(min(pos" + name + "d)-1.,max(pos" + name + "d)+1.,500)")
                exec ("plt.plot(velo" + name + "d,pos" + name + "d,color)")
                plt.plot(
                    veldist(xd[i], xfit, spr1, pow1, pow2, pow3, spr2, skw, scl1, scl2, scl3), xfit, "r-", linewidth=2
                )
                plt.xlim(0.0, 1.5)
                # plt.ylim(-4.,4.)
                # plt.legend(loc=1)
                plt.xlabel("Normalized Velocity")
                plt.ylabel("$y/D$")

    return spr1, pow1, pow2, pow3, spr2, skw, scl1, scl2, scl3
def fit(s,t,length,plot,comp,read_data,opt_print):
    global posdntr
    global poslttr
    global velodtr
    
    t2 = t+'.0'

    wfit = s+'_'+t2
    wfit2 = s+'_'+t2
    wfit3 = s+'_'+t2
    wfit4 = s+'_'+t2
    wfit5 = s+'_'+t2
    wfit6 = s+'_'+t2

    length2 = length
    length3 = length
    length4 = length
    length5 = length
    length6 = length
    wind = 15.
    wind2 = 14.
    wind3 = 12.
    wind4 = 16.

    rad = 3.
    dia = rad*2.
    tsr = float(wfit[3]+'.'+wfit[4]+wfit[5])
    rot = tsr*wind/rad
    rot2 = tsr*wind2/rad
    rot3 = tsr*wind3/rad
    rot4 = tsr*wind4/rad
    rot5 = 17.
    rot6 = 18.
    wind5 = rot5*rad/tsr
    wind6 = rot6*rad/tsr

    if comp == 'mac':
        # fdata = '/Users/ning1/Documents/Flow Lab/STAR-CCM+/NACA0021/MoveForward/test.csv'
        fdata = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/Velocity Sections/'+wfit+'.csv'
        fdata2 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/vel14/Velocity/'+wfit2+'.csv'
        fdata3 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/vel12/Velocity/'+wfit3+'.csv'
        fdata4 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/vel16/Velocity/'+wfit4+'.csv'
        fdata5 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/rot17/Velocity/'+wfit5+'.csv'
        fdata6 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/rot18/Velocity/'+wfit6+'.csv'
    elif comp == 'fsl':
        fdata = '/fslhome/ebtingey/compute/moveForward/Velocity/'+wfit+'.csv'
        fdata2 = '/fslhome/ebtingey/compute/moveForward/vel14/Velocity/'+wfit2+'.csv'
        fdata3 = '/fslhome/ebtingey/compute/moveForward/vel12/Velocity/'+wfit3+'.csv'
        fdata4 = '/fslhome/ebtingey/compute/moveForward/vel16/Velocity/'+wfit4+'.csv'
        fdata5 = '/fslhome/ebtingey/compute/moveForward/rot17/Velocity/'+wfit5+'.csv'
        fdata6 = '/fslhome/ebtingey/compute/moveForward/rot18/Velocity/'+wfit6+'.csv'



    if read_data ==1:
        posdn,poslt,velod = starccm_read(np.array([fdata]),dia,np.array([wind]),length,opt_print)
    if read_data ==2:
        posdn,poslt,velod = starccm_read(np.array([fdata,fdata2]),dia,np.array([wind,wind2]),length,opt_print)
    if read_data ==3:
        posdn,poslt,velod = starccm_read(np.array([fdata,fdata2,fdata3]),dia,np.array([wind,wind2,wind3]),length,opt_print)
    if read_data ==4:
        posdn,poslt,velod = starccm_read(np.array([fdata,fdata2,fdata3,fdata4]),dia,np.array([wind,wind2,wind3,wind4]),length,opt_print)
    if read_data ==5:
        posdn,poslt,velod = starccm_read(np.array([fdata,fdata2,fdata3,fdata4,fdata5]),dia,np.array([wind,wind2,wind3,wind4,wind5]),length,opt_print)
    if read_data ==6:
        posdn,poslt,velod = starccm_read(np.array([fdata,fdata2,fdata3,fdata4,fdata5,fdata6]),dia,np.array([wind,wind2,wind3,wind4,wind5,wind6]),length,opt_print)

    if plot == True:
        if read_data ==1:
            pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read2(np.array([fdata]),dia,np.array([wind]),opt_print)
        if read_data ==2:
            pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read2(np.array([fdata,fdata2]),dia,np.array([wind,wind2]),opt_print)
        if read_data ==3:
            pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read2(np.array([fdata,fdata2,fdata3]),dia,np.array([wind,wind2,wind3]),opt_print)
        if read_data ==4:
            pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read2(np.array([fdata,fdata2,fdata3,fdata4]),dia,np.array([wind,wind2,wind3,wind4]),opt_print)
        if read_data ==5:
            pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read2(np.array([fdata,fdata2,fdata3,fdata4,fdata5]),dia,np.array([wind,wind2,wind3,wind4,wind5]),opt_print)
        if read_data ==6:
            pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read2(np.array([fdata,fdata2,fdata3,fdata4,fdata5,fdata6]),dia,np.array([wind,wind2,wind3,wind4,wind5,wind6]),opt_print)

        start = length/30.
        xd = np.linspace(start,length,30)/dia

    cvtest = 0.3
    posdntr,posdnts,poslttr,posltts,velodtr,velodts = train_test_split(posdn,poslt,velod,test_size=cvtest)

## Optimization
    optProb = Optimization('VAWTWake_Velo', obj_func)
    optProb.addObj('obj')

    men0 = 0.
    sdv10 = 0.5
    sdv20 = 0.1
    sdv30 = 10.
    sdv40 = 0.5
    rat0 = 10.
    spr0 = 10.
    bow1 = 0.5
    bow2 = 0.1
    bow3 = 20.
    bow4 = 1.
    # bow1 = -1.
    # bow2 = 1.
    # bow3 = 1.
    # bow4 = 1.
    
    param0 = np.array([men0,sdv10,sdv20,sdv30,sdv40,rat0,bow4,spr0,bow1,bow2,bow3,0.5,0.1,20.])

    param_l = np.array([None,0.,0.,0.,0.,None,0.,None,0.,0.,0.,0.])
    param_u = np.array([None,None,None,None,None,0.,None,0.,None,1.,1.,50.])

    param_l = np.array([None,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.])
    param_u = np.array([None,10.,1.,50.,None,None,None,None,1.,1.,50.,1.,1.,None])

    # param_l = np.array([None,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.])
    # param_u = np.array([None,None,None,None,None,None,None,None,None,None,None,1.,1.,None])

    # param_l = np.array([None,0.,0.,0.,0.,0.,None,0.,None,None,None,0.,0.,0.])
    # param_u = np.array([None,1.,1.,50.,None,None,None,None,None,None,None,1.,1.,50.])
    
    nparam = np.size(param0)
    optProb.addVarGroup('param', nparam, 'c', lower=param_l, upper=param_u, value=param0)
    
    opt = SNOPT()
    opt.setOption('Scale option',2)
    if comp == 'mac':
        opt.setOption('Print file','/Users/ning1/Documents/FLOW Lab/VAWTWakeModel/wake_model/data/OptVel/SNOPT_print'+s+'_'+t+'.out')
        opt.setOption('Summary file','/Users/ning1/Documents/FLOW Lab/VAWTWakeModel/wake_model/data/OptVel/SNOPT_summary'+s+'_'+t+'.out')
    elif comp == 'fsl':
        opt.setOption('Print file','/fslhome/ebtingey/compute/VAWTWakeModel/OptVel/SNOPT_print'+s+'_'+t+'.out')
        opt.setOption('Summary file','/fslhome/ebtingey/compute/VAWTWakeModel/OptVel/SNOPT_summary'+s+'_'+t+'.out')
    res = opt(optProb, sens=None)
    if opt_print == True:
        print res
    
    pow = res.fStar
    paramf = res.xStar['param']
    if opt_print == True:
        print paramf[0]
        print paramf[1]
        print paramf[2]
        print paramf[3]
        print paramf[4]
        print paramf[5]
        print paramf[6]
        print paramf[7]
        print paramf[8]
        print paramf[9]
        print paramf[10]
        print paramf[11]
        print paramf[12]
        print paramf[13]

    men = paramf[0]
    sdv1 = paramf[1]
    sdv2 = paramf[2]
    sdv3 = paramf[3]
    sdv4 = paramf[4]
    rat1 = paramf[5]
    rat2 = paramf[6]
    spr1 = paramf[7]
    spr2 = paramf[8]
    spr3 = paramf[9]
    spr4 = paramf[10]
    scl1 = paramf[11]
    scl2 = paramf[12]
    scl3 = paramf[13]

    cv_error = 0.
    for i in range(np.size(posdnts)):
        if posdnts[i] > 0.58:
            vel = veldist(posdnts[i],posltts[i],men,sdv1,sdv2,sdv3,sdv4,rat1,rat2,spr1,spr2,spr3,spr4,scl1,scl2,scl3)
            cv_error = cv_error + (vel-velodts[i])**2
    
    # men = np.array([paramf[0],paramf[1],paramf[2]])
    # spr = np.array([paramf[3],paramf[4],paramf[5],paramf[6]])
    # scl = np.array([paramf[7],paramf[8],paramf[9]])
    # rat = np.array([paramf[10],paramf[11]])
    # spr = np.array([paramf[12],paramf[13]])
    #
    paper = False

    if plot == True:
        if paper == True:
            for i in range(30):
                name = str(i+1)
                ind = str(i)
                plt.figure(1)
                ax1 = plt.subplot(5,6,i+1)
                color = 'bo'
                color2 = 'r-'
                fs = 15
                lab = 'CFD'
                lab2 = 'Trend'
                tex = '$x/D$ = '+str("{0:.2f}".format(x[i]/dia))
                exec('xfit = np.linspace(min(pos'+name+'/dia)-1.,max(pos'+name+'/dia)+1.,500)')
                if i == 5:
                    exec('xfit = np.linspace(min(pos'+name+'d)-1.,max(pos'+name+'d)+1.,500)')
                    exec('plt.plot(velo'+name+'d,pos'+name+'d,color,label=lab)')
                    men_v,spr_v,scl_v,rat_v,spr_v = paramfit(xd[i],men,spr,scl,rat,spr)
                    plt.plot(veldist(xfit,men_v,spr_v,scl_v,rat_v,spr_v),xfit,'r-',linewidth=2,label=lab2)
                    plt.xlim(0.,1.5)
                    # plt.ylim(-4.,4.)
                    plt.legend(loc="upper left", bbox_to_anchor=(1,1),fontsize=fs)
                else:
                    exec('xfit = np.linspace(min(pos'+name+'d)-1.,max(pos'+name+'d)+1.,500)')
                    exec('plt.plot(velo'+name+'d,pos'+name+'d,color)')
                    men_v,spr_v,scl_v,rat_v,spr_v = paramfit(xd[i],men,spr,scl,rat,spr)
                    plt.plot(veldist(xfit,men_v,spr_v,scl_v,rat_v,spr_v),xfit,'r-',linewidth=2)
                    plt.xlim(0.,1.5)
                    # plt.ylim(-4.,4.)
                plt.text(0.3,0.8,tex,fontsize=fs)
                if i <= 23:
                    plt.setp(ax1.get_xticklabels(), visible=False)
                else:
                    plt.xlabel('$y/D$',fontsize=fs)
                    plt.xticks(fontsize=fs)
                if i == 0 or i == 6 or i == 12 or i == 18 or i ==24:
                    plt.ylabel(r'$u/U_\infty$',fontsize=fs)
                    plt.yticks(fontsize=fs)
                else:
                    plt.setp(ax1.get_yticklabels(), visible=False)


        elif paper == False:
            for i in range(30):
                name = str(i+1)
                plt.figure(1)
                plt.subplot(5,6,i+1)
                color = 'bo'
                exec('xfit = np.linspace(min(pos'+name+'d)-1.,max(pos'+name+'d)+1.,500)')
                exec('plt.plot(velo'+name+'d,pos'+name+'d,color)')
                plt.plot(veldist(xd[i],xfit,men,sdv1,sdv2,sdv3,sdv4,rat1,rat2,spr1,spr2,spr3,spr4,scl1,scl2,scl3),xfit,'r-',linewidth=2)
                plt.xlim(0.,1.5)
                # plt.ylim(-4.,4.)
                # plt.legend(loc=1)
                plt.xlabel('Normalized Velocity')
                plt.ylabel('$y/D$')
    
    return men,sdv1,sdv2,sdv3,sdv4,rat1,rat2,spr1,spr2,spr3,spr4,scl1,scl2,scl3,cv_error
def fit(s,t,length,plot,comp,read_data,opt_print):
    global xd
    
    global pos1tr
    global pos2tr
    global pos3tr
    global pos4tr
    global pos5tr
    global pos6tr
    global pos7tr
    global pos8tr
    global pos9tr
    global pos10tr
    global pos11tr
    global pos12tr
    global pos13tr
    global pos14tr
    global pos15tr
    global pos16tr
    global pos17tr
    global pos18tr
    global pos19tr
    global pos20tr
    global pos21tr
    global pos22tr
    global pos23tr
    global pos24tr
    global pos25tr
    global pos26tr
    global pos27tr
    global pos28tr
    global pos29tr
    global pos30tr
    
    global velo1tr
    global velo2tr
    global velo3tr
    global velo4tr
    global velo5tr
    global velo6tr
    global velo7tr
    global velo8tr
    global velo9tr
    global velo10tr
    global velo11tr
    global velo12tr
    global velo13tr
    global velo14tr
    global velo15tr
    global velo16tr
    global velo17tr
    global velo18tr
    global velo19tr
    global velo20tr
    global velo21tr
    global velo22tr
    global velo23tr
    global velo24tr
    global velo25tr
    global velo26tr
    global velo27tr
    global velo28tr
    global velo29tr
    global velo30tr
    
    t2 = t+'.0'

    wfit = s+'_'+t2
    wfit2 = s+'_'+t2
    wfit3 = s+'_'+t2
    wfit4 = s+'_'+t2
    wfit5 = s+'_'+t2
    wfit6 = s+'_'+t2

    length2 = length
    length3 = length
    length4 = length
    length5 = length
    length6 = length
    wind = 15.
    wind2 = 14.
    wind3 = 12.
    wind4 = 16.

    rad = 3.
    dia = rad*2.
    tsr = float(wfit[3]+'.'+wfit[4]+wfit[5])
    rot = tsr*wind/rad
    rot2 = tsr*wind2/rad
    rot3 = tsr*wind3/rad
    rot4 = tsr*wind4/rad
    rot5 = 17.
    rot6 = 18.
    wind5 = rot5*rad/tsr
    wind6 = rot6*rad/tsr
    
    if comp == 'mac':
        # fdata = '/Users/ning1/Documents/Flow Lab/STAR-CCM+/NACA0021/MoveForward/test.csv'
        fdata = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/Velocity Sections/'+wfit+'.csv'
        fdata2 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/vel14/Velocity/'+wfit2+'.csv'
        fdata3 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/vel12/Velocity/'+wfit3+'.csv'
        fdata4 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/vel16/Velocity/'+wfit4+'.csv'
        fdata5 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/rot17/Velocity/'+wfit5+'.csv'
        fdata6 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/rot18/Velocity/'+wfit6+'.csv'
    elif comp == 'fsl':
        fdata = '/fslhome/ebtingey/compute/moveForward/Velocity/'+wfit+'.csv'
        fdata2 = '/fslhome/ebtingey/compute/moveForward/vel14/Velocity/'+wfit2+'.csv'
        fdata3 = '/fslhome/ebtingey/compute/moveForward/vel12/Velocity/'+wfit3+'.csv'
        fdata4 = '/fslhome/ebtingey/compute/moveForward/vel16/Velocity/'+wfit4+'.csv'
        fdata5 = '/fslhome/ebtingey/compute/moveForward/rot17/Velocity/'+wfit5+'.csv'
        fdata6 = '/fslhome/ebtingey/compute/moveForward/rot18/Velocity/'+wfit6+'.csv'


    if read_data ==1:
        pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read(np.array([fdata]),dia,np.array([wind]),opt_print)
    if read_data ==2:
        pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read(np.array([fdata,fdata2]),dia,np.array([wind,wind2]),opt_print)
    if read_data ==3:
        pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read(np.array([fdata,fdata2,fdata3]),dia,np.array([wind,wind2,wind3]),opt_print)
    if read_data ==4:
        pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read(np.array([fdata,fdata2,fdata3,fdata4]),dia,np.array([wind,wind2,wind3,wind4]),opt_print)
    if read_data ==5:
        pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read(np.array([fdata,fdata2,fdata3,fdata4,fdata5]),dia,np.array([wind,wind2,wind3,wind4,wind5]),opt_print)
    if read_data ==6:
        pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read(np.array([fdata,fdata2,fdata3,fdata4,fdata5,fdata6]),dia,np.array([wind,wind2,wind3,wind4,wind5,wind6]),opt_print)
    
    start = length/30.
    xd = np.linspace(start,length,30)/dia
    
    
    cvtest = 0.3
    pos1tr,pos1ts,velo1tr,velo1ts = train_test_split(pos1d,velo1d,test_size=cvtest)
    pos2tr,pos2ts,velo2tr,velo2ts = train_test_split(pos2d,velo2d,test_size=cvtest)
    pos3tr,pos3ts,velo3tr,velo3ts = train_test_split(pos3d,velo3d,test_size=cvtest)
    pos4tr,pos4ts,velo4tr,velo4ts = train_test_split(pos4d,velo4d,test_size=cvtest)
    pos5tr,pos5ts,velo5tr,velo5ts = train_test_split(pos5d,velo5d,test_size=cvtest)
    pos6tr,pos6ts,velo6tr,velo6ts = train_test_split(pos6d,velo6d,test_size=cvtest)
    pos7tr,pos7ts,velo7tr,velo7ts = train_test_split(pos7d,velo7d,test_size=cvtest)
    pos8tr,pos8ts,velo8tr,velo8ts = train_test_split(pos8d,velo8d,test_size=cvtest)
    pos9tr,pos9ts,velo9tr,velo9ts = train_test_split(pos9d,velo9d,test_size=cvtest)
    pos10tr,pos10ts,velo10tr,velo10ts = train_test_split(pos10d,velo10d,test_size=cvtest)
    pos11tr,pos11ts,velo11tr,velo11ts = train_test_split(pos11d,velo11d,test_size=cvtest)
    pos12tr,pos12ts,velo12tr,velo12ts = train_test_split(pos12d,velo12d,test_size=cvtest)
    pos13tr,pos13ts,velo13tr,velo13ts = train_test_split(pos13d,velo13d,test_size=cvtest)
    pos14tr,pos14ts,velo14tr,velo14ts = train_test_split(pos14d,velo14d,test_size=cvtest)
    pos15tr,pos15ts,velo15tr,velo15ts = train_test_split(pos15d,velo15d,test_size=cvtest)
    pos16tr,pos16ts,velo16tr,velo16ts = train_test_split(pos16d,velo16d,test_size=cvtest)
    pos17tr,pos17ts,velo17tr,velo17ts = train_test_split(pos17d,velo17d,test_size=cvtest)
    pos18tr,pos18ts,velo18tr,velo18ts = train_test_split(pos18d,velo18d,test_size=cvtest)
    pos19tr,pos19ts,velo19tr,velo19ts = train_test_split(pos19d,velo19d,test_size=cvtest)
    pos20tr,pos20ts,velo20tr,velo20ts = train_test_split(pos20d,velo20d,test_size=cvtest)
    pos21tr,pos21ts,velo21tr,velo21ts = train_test_split(pos21d,velo21d,test_size=cvtest)
    pos22tr,pos22ts,velo22tr,velo22ts = train_test_split(pos22d,velo22d,test_size=cvtest)
    pos23tr,pos23ts,velo23tr,velo23ts = train_test_split(pos23d,velo23d,test_size=cvtest)
    pos24tr,pos24ts,velo24tr,velo24ts = train_test_split(pos24d,velo24d,test_size=cvtest)
    pos25tr,pos25ts,velo25tr,velo25ts = train_test_split(pos25d,velo25d,test_size=cvtest)
    pos26tr,pos26ts,velo26tr,velo26ts = train_test_split(pos26d,velo26d,test_size=cvtest)
    pos27tr,pos27ts,velo27tr,velo27ts = train_test_split(pos27d,velo27d,test_size=cvtest)
    pos28tr,pos28ts,velo28tr,velo28ts = train_test_split(pos28d,velo28d,test_size=cvtest)
    pos29tr,pos29ts,velo29tr,velo29ts = train_test_split(pos29d,velo29d,test_size=cvtest)
    pos30tr,pos30ts,velo30tr,velo30ts = train_test_split(pos30d,velo30d,test_size=cvtest)
    
    
    
## Optimization
    optProb = Optimization('VAWTWake_Velo', obj_func)
    optProb.addObj('obj')
    
    param0 = np.array([2.91638655e-04,  -1.70286993e-03 ,  2.38051673e-02 , -7.65610623e-01,6.40509205e-02  , 6.99046413e-01,   7.83484187e-01  , 4.55408268e-01, 1.18716383e-01  , 2.05484572e+01 , -2.67741935e+00  , 4.43022575e+01,-2.10925147e+00  , 3.30400554e+01])
    param_l = np.array([-1.,-1,-1.,-1.,-1,-1.,0.,0.,0.,None,0.,None,0.]) 
    param_u = np.array([1.,1.,1.,1.,1.,1.,None,None,None,0.,None,0.,None])
    
    nparam = np.size(param0)
    optProb.addVarGroup('param', nparam, 'c', lower=None, upper=None, value=param0)
    
    opt = SNOPT()
    opt.setOption('Scale option',2)
    if comp == 'mac':
        opt.setOption('Print file','/Users/ning1/Documents/FLOW Lab/VAWTWakeModel/wake_model/data/OptVel/SNOPT_print'+s+'_'+t+'.out')
        opt.setOption('Summary file','/Users/ning1/Documents/FLOW Lab/VAWTWakeModel/wake_model/data/OptVel/SNOPT_summary'+s+'_'+t+'.out')
    elif comp == 'fsl':
        opt.setOption('Print file','/fslhome/ebtingey/compute/VAWTWakeModel/OptVel/SNOPT_print'+s+'_'+t+'.out')
        opt.setOption('Summary file','/fslhome/ebtingey/compute/VAWTWakeModel/OptVel/SNOPT_summary'+s+'_'+t+'.out')
    res = opt(optProb, sens=None)
    if opt_print == True:
        print res
    
    pow = res.fStar
    paramf = res.xStar['param']
    if opt_print == True:
        print paramf
    
    men = np.array([paramf[0],paramf[1],paramf[2]])
    spr = np.array([paramf[3],paramf[4],paramf[5],paramf[6]])
    scl = np.array([paramf[7],paramf[8],paramf[9]])
    rat = np.array([paramf[10],paramf[11]])
    tns = np.array([paramf[12],paramf[13]])
    
    cv_error = 0.
    for i in range(30):
        name = str(i+1)
        ind = str(i)
        exec('if xd['+ind+'] > 0.58:\n\tmen_v,spr_v,scl_v,rat_v,tns_v = paramfit(xd['+ind+'],men,spr,scl,rat,tns)\n\tfor j in range(np.size(pos'+name+'ts)):\n\t\tvel = (-scl_v/(spr_v*sqrt(2.*pi))*exp(-(pos'+name+'ts[j]+men_v)**2/(2.*spr_v**2)))*(1./(1. + exp(rat_v*fabs(pos'+name+'ts[j])-tns_v))) + 1.\n\t\tcv_error = cv_error + (vel-velo'+name+'ts[j])**2')
        
    
    if plot == True:
        for i in range(30):
            name = str(i+1)
            plt.figure(1)
            plt.subplot(5,6,i+1)
            color = 'bo'
            exec('xfit = np.linspace(min(pos'+name+'d)-1.,max(pos'+name+'d)+1.,500)')
            exec('plt.plot(velo'+name+'d,pos'+name+'d,color)')
            men_v,spr_v,scl_v,rat_v,tns_v = paramfit(xd[i],men,spr,scl,rat,tns)
            plt.plot(veldist(xfit,men_v,spr_v,scl_v,rat_v,tns_v),xfit,'r-',linewidth=2)
            plt.xlim(0.,1.5)
            # plt.ylim(-4.,4.)
            # plt.legend(loc=1)
            plt.xlabel('Normalized Velocity')
            plt.ylabel('$y/D$')
    
    return men,spr,scl,rat,tns,cv_error
    # Creating a power curve for the turbine (tip-speed ratio vs. power coefficient)
    powercurve = Akima1DInterpolator(tsr,CP)

    # Adjusting geometry for SPL calculations
    r_nrel = np.array([2.8667, 5.6000, 8.3333, 11.7500, 15.8500, 19.9500, 24.0500, 28.1500, 32.2500, 36.3500, 40.4500, 44.5500, 48.6500, 52.7500, 56.1667, 58.9000, 61.6333, 63.0]) # radial positions (m)
    rad = r_nrel*r_ratio

    # Initialize input variables
    rotorDiameter = np.ones(nturb)*rotor_diameter
    generator_efficiency = np.ones(nturb)*0.944
    yaw = np.ones((nwind,nturb))*0.
    rpm = np.ones(nwind*nturb)*rpm_max

    # Optimization
    optProb = Optimization('Wind_Farm_APP', obj_func)
    optProb.addObj('obj')

    # Design Variables (scaled to 1)
    nrpm = nturb*nwind
    optProb.addVarGroup('xvars', nturb, 'c', lower=xlow/100., upper=xupp/100., value=turbineX/100.) # x positions
    optProb.addVarGroup('yvars', nturb, 'c', lower=ylow/100., upper=yupp/100., value=turbineY/100.) # y positions
    optProb.addVarGroup('rpm', nrpm, 'c', lower=rpmlow/10., upper=rpmupp/10., value=rpm/10.) # rpm values

    # Constraints (scaled to 1)
    num_cons_sep = (nturb-1)*nturb/2
    optProb.addConGroup('sep', num_cons_sep, lower=0., upper=None) # separation between turbines
    num_cons_spl = nwind*nobs
    optProb.addConGroup('SPL', num_cons_spl, lower=0., upper=SPLlim/10.) # SPL limit

    opt = SNOPT()

    """

    # from pymatbridge import Matlab
    # mlab = Matlab('/Applications/MATLAB_R2014b.app/bin/matlab')
    # mlab.start()
    #
    # res = mlab.lsqcurvefit(sheet,param,posdntr,velodtr)
    # print res
    #
    # mlab.stop


    if fit_opt == 'snopt':
        optProb = Optimization('VAWTWake_Velo', obj_func)
        optProb.addObj('obj')

        optProb.addVarGroup('param', 90, 'c', lower=None, upper=None, value=param0)

        opt = SNOPT()
        opt.setOption('Scale option',2)
        if comp == 'mac':
            opt.setOption('Print file','/Users/ning1/Documents/FLOW Lab/VAWTWakeModel/wake_model/data/OptSheet/SNOPT_print'+str(argv[1])+str(argv[2])+str(argv[3])+'ORD'+str(argv[4])+str(argv[5])+str(argv[6])+str(argv[7])+str(argv[8])+str(argv[9])+str(argv[10])+str(argv[11])+str(argv[12])+'.out')
            opt.setOption('Summary file','/Users/ning1/Documents/FLOW Lab/VAWTWakeModel/wake_model/data/OptSheet/SNOPT_summary'+str(argv[1])+str(argv[2])+str(argv[3])+'ORD'+str(argv[4])+str(argv[5])+str(argv[6])+str(argv[7])+str(argv[8])+str(argv[9])+str(argv[10])+str(argv[11])+str(argv[12])+'.out')
        elif comp == 'fsl':
            opt.setOption('Print file','/fslhome/ebtingey/compute/VAWTWakeModel/CrossVal/SNOPT_Files/SNOPT_print'+str(argv[1])+str(argv[2])+str(argv[3])+'ORD'+str(argv[4])+str(argv[5])+str(argv[6])+str(argv[7])+str(argv[8])+str(argv[9])+str(argv[10])+str(argv[11])+str(argv[12])+'.out')
            opt.setOption('Summary file','/fslhome/ebtingey/compute/VAWTWakeModel/CrossVal/SNOPT_Files/SNOPT_summary'+str(argv[1])+str(argv[2])+str(argv[3])+'ORD'+str(argv[4])+str(argv[5])+str(argv[6])+str(argv[7])+str(argv[8])+str(argv[9])+str(argv[10])+str(argv[11])+str(argv[12])+'.out')
        result = opt(optProb, sens=None)

        res = result.xStar['param']
Пример #40
0
        exec('posdn'+name+'tr = posdns'+str(int(scvtr[i]))+'t'+str(int(tcvtr[i])))
        exec('poslt'+name+'tr = poslts'+str(int(scvtr[i]))+'t'+str(int(tcvtr[i])))
        exec('velod'+name+'tr = velods'+str(int(scvtr[i]))+'t'+str(int(tcvtr[i])))
        exec('xt'+name+'tr = xttr[i]')
        exec('ys'+name+'tr = ystr[i]')

    for i in range(np.size(scvts)):
        name = str(i+1)
        exec('posdn'+name+'ts = posdns'+str(int(scvts[i]))+'t'+str(int(tcvts[i])))
        exec('poslt'+name+'ts = poslts'+str(int(scvts[i]))+'t'+str(int(tcvts[i])))
        exec('velod'+name+'ts = velods'+str(int(scvts[i]))+'t'+str(int(tcvts[i])))
        exec('xt'+name+'ts = xtts[i]')
        exec('ys'+name+'ts = ysts[i]')

    # Optimization
    optProb = Optimization('VAWTWake_Sheet', obj_func)
    optProb.addObj('obj')

    if comp == 'mac':
        ordt = int(argv[1])
        ords = int(argv[2])
    elif comp == 'fsl':
        ordt = int(argv[1])
        ords = int(argv[2])

    men0 = np.linspace(0.,0.,3*ords)
    sdv10 = np.linspace(0.,0.,ordt*ords)
    sdv20 = np.linspace(0.,0.,ordt*ords)
    sdv30 = np.linspace(0.,0.,ordt*ords)
    sdv40 = np.linspace(0.,0.,ordt*ords)
    rat0 = np.linspace(0.,0.,ordt*ords)
Пример #41
0
    def run(self):
        """
        Excute pyOptsparse.

        Note that pyOpt controls the execution, and the individual optimizers
        (e.g., SNOPT) control the iteration.

        Returns
        -------
        boolean
            Failure flag; True if failed to converge, False is successful.
        """
        problem = self._problem
        model = problem.model
        relevant = model._relevant
        self.pyopt_solution = None
        self._total_jac = None
        self.iter_count = 0
        fwd = problem._mode == 'fwd'
        optimizer = self.options['optimizer']

        # Only need initial run if we have linear constraints or if we are using an optimizer that
        # doesn't perform one initially.
        con_meta = self._cons
        model_ran = False
        if optimizer in run_required or np.any([con['linear'] for con in itervalues(self._cons)]):
            with RecordingDebugging(self._get_name(), self.iter_count, self) as rec:
                # Initial Run
                model.run_solve_nonlinear()
                rec.abs = 0.0
                rec.rel = 0.0
                model_ran = True
            self.iter_count += 1

        # compute dynamic simul deriv coloring or just sparsity if option is set
        if coloring_mod._use_sparsity:
            if self.options['dynamic_simul_derivs']:
                coloring_mod.dynamic_simul_coloring(self, run_model=not model_ran,
                                                    do_sparsity=True)
            elif self.options['dynamic_derivs_sparsity']:
                coloring_mod.dynamic_sparsity(self)

        opt_prob = Optimization(self.options['title'], self._objfunc)

        # Add all design variables
        param_meta = self._designvars
        self._indep_list = indep_list = list(param_meta)
        param_vals = self.get_design_var_values()

        for name, meta in iteritems(param_meta):
            opt_prob.addVarGroup(name, meta['size'], type='c',
                                 value=param_vals[name],
                                 lower=meta['lower'], upper=meta['upper'])

        opt_prob.finalizeDesignVariables()

        # Add all objectives
        objs = self.get_objective_values()
        for name in objs:
            opt_prob.addObj(name)
            self._quantities.append(name)

        # Calculate and save derivatives for any linear constraints.
        lcons = [key for (key, con) in iteritems(con_meta) if con['linear']]
        if len(lcons) > 0:
            _lin_jacs = self._compute_totals(of=lcons, wrt=indep_list, return_format='dict')
            # convert all of our linear constraint jacs to COO format. Otherwise pyoptsparse will
            # do it for us and we'll end up with a fully dense COO matrix and very slow evaluation
            # of linear constraints!
            to_remove = []
            for jacdct in itervalues(_lin_jacs):
                for n, subjac in iteritems(jacdct):
                    if isinstance(subjac, np.ndarray):
                        # we can safely use coo_matrix to automatically convert the ndarray
                        # since our linear constraint jacs are constant, so zeros won't become
                        # nonzero during the optimization.
                        mat = coo_matrix(subjac)
                        if mat.row.size > 0:
                            # convert to 'coo' format here to avoid an emphatic warning
                            # by pyoptsparse.
                            jacdct[n] = {'coo': [mat.row, mat.col, mat.data], 'shape': mat.shape}

        # Add all equality constraints
        for name, meta in iteritems(con_meta):
            if meta['equals'] is None:
                continue
            size = meta['size']
            lower = upper = meta['equals']
            if fwd:
                wrt = [v for v in indep_list if name in relevant[v]]
            else:
                rels = relevant[name]
                wrt = [v for v in indep_list if v in rels]

            if meta['linear']:
                jac = {w: _lin_jacs[name][w] for w in wrt}
                opt_prob.addConGroup(name, size, lower=lower, upper=upper,
                                     linear=True, wrt=wrt, jac=jac)
            else:
                if name in self._res_jacs:
                    resjac = self._res_jacs[name]
                    jac = {n: resjac[n] for n in wrt}
                else:
                    jac = None
                opt_prob.addConGroup(name, size, lower=lower, upper=upper, wrt=wrt, jac=jac)
                self._quantities.append(name)

        # Add all inequality constraints
        for name, meta in iteritems(con_meta):
            if meta['equals'] is not None:
                continue
            size = meta['size']

            # Bounds - double sided is supported
            lower = meta['lower']
            upper = meta['upper']

            if fwd:
                wrt = [v for v in indep_list if name in relevant[v]]
            else:
                rels = relevant[name]
                wrt = [v for v in indep_list if v in rels]

            if meta['linear']:
                jac = {w: _lin_jacs[name][w] for w in wrt}
                opt_prob.addConGroup(name, size, upper=upper, lower=lower,
                                     linear=True, wrt=wrt, jac=jac)
            else:
                if name in self._res_jacs:
                    resjac = self._res_jacs[name]
                    jac = {n: resjac[n] for n in wrt}
                else:
                    jac = None
                opt_prob.addConGroup(name, size, upper=upper, lower=lower, wrt=wrt, jac=jac)
                self._quantities.append(name)

        # Instantiate the requested optimizer
        try:
            _tmp = __import__('pyoptsparse', globals(), locals(), [optimizer], 0)
            opt = getattr(_tmp, optimizer)()

        except Exception as err:
            # Change whatever pyopt gives us to an ImportError, give it a readable message,
            # but raise with the original traceback.
            msg = "Optimizer %s is not available in this installation." % optimizer
            reraise(ImportError, ImportError(msg), sys.exc_info()[2])

        # Set optimization options
        for option, value in self.opt_settings.items():
            opt.setOption(option, value)

        # Execute the optimization problem
        if self.options['gradient method'] == 'pyopt_fd':

            # Use pyOpt's internal finite difference
            # TODO: Need to get this from OpenMDAO
            # fd_step = problem.root.deriv_options['step_size']
            fd_step = 1e-6
            sol = opt(opt_prob, sens='FD', sensStep=fd_step, storeHistory=self.hist_file,
                      hotStart=self.hotstart_file)

        elif self.options['gradient method'] == 'snopt_fd':
            if self.options['optimizer'] == 'SNOPT':

                # Use SNOPT's internal finite difference
                # TODO: Need to get this from OpenMDAO
                # fd_step = problem.root.deriv_options['step_size']
                fd_step = 1e-6
                sol = opt(opt_prob, sens=None, sensStep=fd_step, storeHistory=self.hist_file,
                          hotStart=self.hotstart_file)

            else:
                msg = "SNOPT's internal finite difference can only be used with SNOPT"
                raise Exception(msg)
        else:

            # Use OpenMDAO's differentiator for the gradient
            sol = opt(opt_prob, sens=self._gradfunc, storeHistory=self.hist_file,
                      hotStart=self.hotstart_file)

        # Print results
        if self.options['print_results']:
            print(sol)

        # Pull optimal parameters back into framework and re-run, so that
        # framework is left in the right final state
        dv_dict = sol.getDVs()
        for name in indep_list:
            self.set_design_var(name, dv_dict[name])

        with RecordingDebugging(self._get_name(), self.iter_count, self) as rec:
            model.run_solve_nonlinear()
            rec.abs = 0.0
            rec.rel = 0.0
        self.iter_count += 1

        # Save the most recent solution.
        self.pyopt_solution = sol
        try:
            exit_status = sol.optInform['value']
            self.fail = False

            # These are various failed statuses.
            if exit_status > 2:
                self.fail = True

        except KeyError:
            # optimizers other than pySNOPT may not populate this dict
            pass

        return self.fail
Пример #42
0
                               wake_model=gauss_wrapper, wake_model_options={'nSamples': 0}, datasize=0,
                               params_IdepVar_func=add_gauss_params_IndepVarComps,
                               params_IndepVar_args={}))

    prob.setup()
    prob['model_params:integrate'] = False
    prob['model_params:spread_mode'] = 'bastankhah'
    prob['model_params:yaw_mode'] = 'bastankhah'
    prob['model_params:n_std_dev'] = 4.
    # prob['model_params:m'] = 0.33
    # prob['model_params:Dw0'] = 1.3

    tuning_obj_function(plot=True)

    # initialize optimization problem
    optProb = Optimization('Tuning Gaussian Model to SOWFA', tuning_obj_function)
    optProb.addVarGroup('ke', 1, lower=0.0, upper=1.0, value=0.152, scalar=1)
    # optProb.addVarGroup('spread_angle', 1, lower=0.0, upper=30.0, value=3.0, scalar=1)
    optProb.addVarGroup('rotation_offset_angle', 1, lower=0.0, upper=5.0, value=1.5, scalar=1)
    # optProb.addVarGroup('ky', 1, lower=0.0, upper=20.0, value=0.1, scalar=1E-4)
    # optProb.addVarGroup('Dw0', 3, lower=np.zeros(3), upper=np.ones(3)*20., value=np.array([1.3, 1.3, 1.3]))#, scalar=1E-2)
    # optProb.addVarGroup('m', 1, lower=0.1, upper=20.0, value=0.33, scalar=1E-3)

    # add objective
    optProb.addObj('obj', scale=1E-3)

    # initialize optimizer
    snopt = SNOPT()

    # run optimizer
    sol = snopt(optProb, sens='FD')
Пример #43
0
        if nRotorPoints > 1:
            prob['model_params:RotorPointsY'], prob['model_params:RotorPointsZ'] = sunflower_points(nRotorPoints)
            print "setting rotor points"

    elif model is 'floris':
        prob = Problem(root=OptAEP(nTurbines=nTurbines, nDirections=nDirections, use_rotor_components=False,
                                   wake_model=floris_wrapper,
                                   wake_model_options={'nSamples': 0, 'use_rotor_components': False,
                                                       'differentiable': True}, datasize=0,
                                   params_IdepVar_func=add_floris_params_IndepVarComps))
        prob.setup()
        prob['model_params:useWakeAngle'] = True

    # initialize optimization problem
    optProb = Optimization('Tuning %s Model to SOWFA' % model, tuning_obj_function)

    if model is 'gauss':
        # optProb.addVarGroup('ky', 1, lower=0.01, upper=1.0, value=0.022, scalar=1E1)
        # optProb.addVarGroup('kz', 1, lower=0.01, upper=1.0, value=0.022, scalar=1E1)
        # optProb.addVarGroup('I', 1, lower=0.04, upper=0.5, value=0.06, scalar=1E1)
        optProb.addVarGroup('shear_exp', 1, lower=0.01, upper=1.0, value=0.15, scalar=1)
        # optProb.addVarGroup('yshift', 1, lower=-126.4, upper=126.4, value=0.0)#, scalar=1E-3)
    elif model is 'floris':
        # optProb.addVarGroup('pP', 1, lower=0.0, upper=5.0, value=1.5)  # , scalar=1E-1)
        optProb.addVarGroup('kd', 1, lower=0.0, upper=1.0, value=0.15)  # , scalar=1E-1)
        optProb.addVarGroup('initialWakeAngle', 1, lower=-4.0, upper=4.0, value=1.5)  # , scalar=1E-1)
        optProb.addVarGroup('initialWakeDisplacement', 1, lower=-30.0, upper=30.0, value=-4.5)  # , scalar=1E-1)
        optProb.addVarGroup('bd', 1, lower=-1.0, upper=1.0, value=-0.01)  # , scalar=1E-1)
        optProb.addVarGroup('ke', 1, lower=0.0, upper=1.0, value=0.065)  # , scalar=1E-1)
        optProb.addVarGroup('me', 2, lower=np.array([-1.0, 0.0]), upper=np.array([0.0, 0.9]),
def optimize(func, x0, lb, ub, optimizer, A=[], b=[], Aeq=[], beq=[], args=[]):

    global fcalls  # keep track of function calls myself, seems to be an error in pyopt
    fcalls = 1

    # evalute initial point to get size information and determine if gradients included
    out = func(x0, *args)
    if len(out) == 4:
        gradients = True
        f, c, _, _ = out
    else:
        gradients = False
        f, c = out

    nx = len(x0)
    nc = len(c)
    nlin = len(b)
    nleq = len(beq)
    if hasattr(f, "__len__"):
        nf = len(f)  # multiobjective
    else:
        nf = 1


    def objcon(xdict):

        global fcalls
        fcalls += 1

        x = xdict['x']
        outputs = {}

        if gradients:
            f, c, df, dc = func(x, *args)
            # these gradients aren't directly used in this function but we will save them for later
            outputs['g-obj'] = df
            outputs['g-con'] = dc
            outputs['g-x'] = x
        else:
            f, c = func(x, *args)

        outputs['con'] = c

        if nf == 1:
            outputs['obj'] = f
        else:  # multiobjective
            for i in range(nf):
                outputs['obj%d' % i] = f[i]

        fail = False

        return outputs, fail


    def grad(xdict, fdict):

        # check if this was the x-location we just evaluated from func (should never happen)
        if not np.array_equal(xdict['x'], fdict['g-x']):
            f, c, df, dc = func(xdict['x'], *args)
            global fcalls
            fcalls += 1
        else:
            df = fdict['g-obj']
            dc = fdict['g-con']

        # populate gradients (the multiobjective optimizers don't use gradients so no change needed here)
        gout = {}
        gout['obj'] = {}
        gout['obj']['x'] = df
        gout['con'] = {}
        gout['con']['x'] = dc

        fail = False

        return gout, fail




    # setup problem
    optProb = Optimization('optimization', objcon)

    if nf == 1:
        optProb.addObj('obj')
    else:  # multiobjective
        for i in range(nf):
            optProb.addObj('obj%d' % i)

    optProb.addVarGroup('x', nx, lower=lb, upper=ub, value=x0)

    # add nonlinear constraints
    if nc > 0:
        optProb.addConGroup('con', nc, upper=0.0)

    # add linear inequality constraints
    if nlin > 0:
        optProb.addConGroup('linear-ineq', nlin, upper=b, linear=True, jac={'x': A})

    # add linear equality constraints
    if nleq > 0:
        optProb.addConGroup('linear-ineq', nleq, upper=beq, lower=beq, linear=True, jac={'x': Aeq})

    # check if gradients defined
    if gradients:
        sens = grad
    else:
        sens = 'FDR'  # forward diff with relative step size

    with warnings.catch_warnings():  # FIXME: ignore the FutureWarning until fixed
        warnings.simplefilter("ignore")

        # run optimization
        sol = optimizer(optProb, sens=sens)


    # save solution
    xstar = sol.xStar['x']
    fstar = sol.fStar

    info = {}
    info['fcalls'] = fcalls
    info['time'] = sol.optTime
    if sol.optInform:
        info['code'] = sol.optInform

    # FIXME: bug in how output of NLPQLP is returned
    if optimizer.name == 'NLPQLP':
        xtemp = xstar
        xstar = np.zeros(nx)
        for i in range(nx):
            xstar[i] = xtemp[i, 0]

    # FIXME: because of bug exists in all except SNOPT, also none return cstar
    # if optimizer.name != 'SNOPT':
    if gradients:
        fstar, cstar, _, _ = func(xstar, *args)
    else:
        fstar, cstar = func(xstar, *args)

    # FIXME: handle multiobjective NSGA2
    if nf > 1 and optimizer.name == 'NSGA-II':
        xstar = []
        fstar = []
        cstar = []
        with open('nsga2_final_pop.out') as f:
            # skip first two lines
            f.readline()
            f.readline()
            for line in f:
                values = line.split()
                rank = values[nx + nc + nf + 1]
                if rank == "1":
                    fstar.append(np.array(values[:nf]).astype(np.float))
                    cstar.append(np.array(values[nf:nf+nc]).astype(np.float))
                    xstar.append(np.array(values[nf+nc:nf+nc+nx]).astype(np.float))

        xstar = np.array(xstar)
        fstar = np.array(fstar)
        cstar = -np.array(cstar)  # negative sign because of nsga definition

    if nc > 0:
        info['max-c-vio'] = max(np.amax(cstar), 0.0)

    return xstar, fstar, info
Пример #45
0
    def __call__(self, optimizer, options=None):
        """ Run optimization """
        system = self._system
        variables = self._variables

        opt_prob = OptProblem('Optimization', self.obj_func)
        for dv_name in variables['dv'].keys():
            dv = variables['dv'][dv_name]
            dv_id = dv['ID']
            if dv['value'] is not None:
                value = dv['value']
            else:
                value = system.vec['u'](dv_id)
            scale = dv['scale']
            lower = dv['lower']
            upper = dv['upper']
            size = system.vec['u'](dv_id).shape[0]
            opt_prob.addVarGroup(dv_name, size, value=value, scale=scale,
                                 lower=lower, upper=upper)
        opt_prob.finalizeDesignVariables()
        for func_name in variables['func'].keys():
            func = variables['func'][func_name]
            func_id = func['ID']
            lower = func['lower']
            upper = func['upper']
            linear = func['linear']
            get_jacs = func['get_jacs']
            sys = func['sys']
            size = system.vec['u'](func_id).shape[0]
            if lower is None and upper is None:
                opt_prob.addObj(func_name)
            else:
                if get_jacs is not None:
                    jacs_var = get_jacs()

                    dv_names = []
                    jacs = {}
                    for dv_var in jacs_var:
                        dv_id = self._system.get_id(dv_var)
                        dv_name = self._get_name(dv_id)
                        dv_names.append(dv_name)
                        jacs[dv_name] = jacs_var[dv_var]

                    opt_prob.addConGroup(func_name, size,
                                         wrt=dv_names,
                                         jac=jacs, linear=linear,
                                         lower=lower, upper=upper)
                elif sys is not None:
                    dv_names = []
                    for dv_name in variables['dv'].keys():
                        dv_id = variables['dv'][dv_name]['ID']
                        if dv_id in sys.vec['u']:
                            dv_names.append(dv_name)
                    opt_prob.addConGroup(func_name, size,
                                         wrt=dv_names,
                                         lower=lower, upper=upper)                    
                else:
                    opt_prob.addConGroup(func_name, size,
                                         lower=lower, upper=upper)

        if options is None:
            options = {}

        opt = Optimizer(optimizer, options=options)
        opt.setOption('Iterations limit', int(1e6))
        #opt.setOption('Verify level', 3)
        sol = opt(opt_prob, sens=self.sens_func, storeHistory='hist.hst')
        print sol

        try:
            exit_status = sol.optInform['value']
            self.exit_flag = 1
            if exit_status > 2: # bad
                self.exit_flag = 0
        except KeyError: #nothing is here, so something bad happened!
            self.exit_flag = 0
    def run(self, problem):
        """pyOpt execution. Note that pyOpt controls the execution, and the
        individual optimizers (i.e., SNOPT) control the iteration.

        Args
        ----
        problem : `Problem`
            Our parent `Problem`.
        """

        self.pyopt_solution = None
        rel = problem.root._probdata.relevance

        # Metadata Setup
        self.metadata = create_local_meta(None, self.options['optimizer'])
        self.iter_count = 0
        update_local_meta(self.metadata, (self.iter_count,))

        # Initial Run
        with problem.root._dircontext:
            problem.root.solve_nonlinear(metadata=self.metadata)

        opt_prob = Optimization(self.options['title'], self._objfunc)

        # Add all parameters
        param_meta = self.get_desvar_metadata()
        self.indep_list = indep_list = list(param_meta)
        param_vals = self.get_desvars()

        for name, meta in iteritems(param_meta):
            opt_prob.addVarGroup(name, meta['size'], type='c',
                                 value=param_vals[name],
                                 lower=meta['lower'], upper=meta['upper'])

        opt_prob.finalizeDesignVariables()

        # Figure out parameter subsparsity for paramcomp index connections.
        # sub_param_conns is empty unless there are some index conns.
        # full_param_conns gets filled with the connections to the entire
        # parameter so that those params can be filtered out of the sparse
        # set if the full path is also relevant
        sub_param_conns = {}
        full_param_conns = {}
        for name in indep_list:
            pathname = problem.root.unknowns.metadata(name)['pathname']
            sub_param_conns[name] = {}
            full_param_conns[name] = set()
            for target, info in iteritems(problem.root.connections):
                src, indices = info
                if src == pathname:
                    if indices is not None:
                        # Need to map the connection indices onto the desvar
                        # indices if both are declared.
                        dv_idx = param_meta[name].get('indices')
                        indices = set(indices)
                        if dv_idx is not None:
                            indices.intersection_update(dv_idx)
                            ldv_idx = list(dv_idx)
                            mapped_idx = [ldv_idx.index(item) for item in indices]
                            sub_param_conns[name][target] = mapped_idx
                        else:
                            sub_param_conns[name][target] = indices
                    else:
                        full_param_conns[name].add(target)

        # Add all objectives
        objs = self.get_objectives()
        self.quantities = list(objs)
        self.sparsity = OrderedDict()
        self.sub_sparsity = OrderedDict()
        for name in objs:
            opt_prob.addObj(name)
            self.sparsity[name] = self.indep_list

        # Calculate and save gradient for any linear constraints.
        lcons = self.get_constraints(lintype='linear').keys()
        if len(lcons) > 0:
            self.lin_jacs = problem.calc_gradient(indep_list, lcons,
                                                  return_format='dict')
            #print("Linear Gradient")
            #print(self.lin_jacs)

        # Add all equality constraints
        econs = self.get_constraints(ctype='eq', lintype='nonlinear')
        con_meta = self.get_constraint_metadata()
        self.quantities += list(econs)

        for name in self.get_constraints(ctype='eq'):
            meta = con_meta[name]
            size = meta['size']
            lower = upper = meta['equals']

            # Sparsify Jacobian via relevance
            rels = rel.relevant[name]
            wrt = rels.intersection(indep_list)
            self.sparsity[name] = wrt

            if meta['linear']:
                opt_prob.addConGroup(name, size, lower=lower, upper=upper,
                                     linear=True, wrt=wrt,
                                     jac=self.lin_jacs[name])
            else:

                jac = self._build_sparse(name, wrt, size, param_vals,
                                         sub_param_conns, full_param_conns, rels)
                opt_prob.addConGroup(name, size, lower=lower, upper=upper,
                                     wrt=wrt, jac=jac)

        # Add all inequality constraints
        incons = self.get_constraints(ctype='ineq', lintype='nonlinear')
        self.quantities += list(incons)

        for name in self.get_constraints(ctype='ineq'):
            meta = con_meta[name]
            size = meta['size']

            # Bounds - double sided is supported
            lower = meta['lower']
            upper = meta['upper']

            # Sparsify Jacobian via relevance
            rels = rel.relevant[name]
            wrt = rels.intersection(indep_list)
            self.sparsity[name] = wrt

            if meta['linear']:
                opt_prob.addConGroup(name, size, upper=upper, lower=lower,
                                     linear=True, wrt=wrt,
                                     jac=self.lin_jacs[name])
            else:

                jac = self._build_sparse(name, wrt, size, param_vals,
                                         sub_param_conns, full_param_conns, rels)
                opt_prob.addConGroup(name, size, upper=upper, lower=lower,
                                     wrt=wrt, jac=jac)

        # Instantiate the requested optimizer
        optimizer = self.options['optimizer']
        try:
            exec('from pyoptsparse import %s' % optimizer)
        except ImportError:
            msg = "Optimizer %s is not available in this installation." % \
                   optimizer
            raise ImportError(msg)

        optname = vars()[optimizer]
        opt = optname()

        #Set optimization options
        for option, value in self.opt_settings.items():
            opt.setOption(option, value)

        self._problem = problem

        # Execute the optimization problem
        if self.options['pyopt_diff']:
            # Use pyOpt's internal finite difference
            fd_step = problem.root.fd_options['step_size']
            sol = opt(opt_prob, sens='FD', sensStep=fd_step, storeHistory=self.hist_file)
        else:
            # Use OpenMDAO's differentiator for the gradient
            sol = opt(opt_prob, sens=self._gradfunc, storeHistory=self.hist_file)

        self._problem = None

        # Print results
        if self.options['print_results']:
            print(sol)

        # Pull optimal parameters back into framework and re-run, so that
        # framework is left in the right final state
        dv_dict = sol.getDVs()
        for name in indep_list:
            val = dv_dict[name]
            self.set_desvar(name, val)

        with self.root._dircontext:
            self.root.solve_nonlinear(metadata=self.metadata)

        # Save the most recent solution.
        self.pyopt_solution = sol
        try:
            exit_status = sol.optInform['value']
            self.exit_flag = 1
            if exit_status > 2: # bad
                self.exit_flag = 0
        except KeyError: #nothing is here, so something bad happened!
            self.exit_flag = 0
Пример #47
0
    def run(self, problem):
        """pyOpt execution. Note that pyOpt controls the execution, and the
        individual optimizers (i.e., SNOPT) control the iteration.

        Args
        ----
        problem : `Problem`
            Our parent `Problem`.
        """

        self.pyopt_solution = None
        rel = problem.root._probdata.relevance

        # Metadata Setup
        self.metadata = create_local_meta(None, self.options['optimizer'])
        self.iter_count = 0
        update_local_meta(self.metadata, (self.iter_count,))

        # Initial Run
        problem.root.solve_nonlinear(metadata=self.metadata)

        opt_prob = Optimization(self.options['title'], self._objfunc)

        # Add all parameters
        param_meta = self.get_desvar_metadata()
        self.indep_list = indep_list = list(iterkeys(param_meta))
        param_vals = self.get_desvars()

        for name, meta in iteritems(param_meta):
            opt_prob.addVarGroup(name, meta['size'], type='c',
                                 value=param_vals[name],
                                 lower=meta['lower'], upper=meta['upper'])

        opt_prob.finalizeDesignVariables()

        # Add all objectives
        objs = self.get_objectives()
        self.quantities = list(iterkeys(objs))
        self.sparsity = OrderedDict() #{}
        for name in objs:
            opt_prob.addObj(name)
            self.sparsity[name] = self.indep_list

        # Calculate and save gradient for any linear constraints.
        lcons = self.get_constraints(lintype='linear').keys()
        if len(lcons) > 0:
            self.lin_jacs = problem.calc_gradient(indep_list, lcons,
                                                  return_format='dict')
            #print("Linear Gradient")
            #print(self.lin_jacs)

        # Add all equality constraints
        econs = self.get_constraints(ctype='eq', lintype='nonlinear')
        con_meta = self.get_constraint_metadata()
        self.quantities += list(iterkeys(econs))

        for name in self.get_constraints(ctype='eq'):
            size = con_meta[name]['size']
            lower = upper = con_meta[name]['equals']

            # Sparsify Jacobian via relevance
            wrt = rel.relevant[name].intersection(indep_list)
            self.sparsity[name] = wrt

            if con_meta[name]['linear'] is True:
                opt_prob.addConGroup(name, size, lower=lower, upper=upper,
                                     linear=True, wrt=wrt,
                                     jac=self.lin_jacs[name])
            else:
                opt_prob.addConGroup(name, size, lower=lower, upper=upper,
                                     wrt=wrt)

        # Add all inequality constraints
        incons = self.get_constraints(ctype='ineq', lintype='nonlinear')
        self.quantities += list(iterkeys(incons))

        for name in self.get_constraints(ctype='ineq'):
            size = con_meta[name]['size']

            # Bounds - double sided is supported
            lower = con_meta[name]['lower']
            upper = con_meta[name]['upper']

            # Sparsify Jacobian via relevance
            wrt = rel.relevant[name].intersection(indep_list)
            self.sparsity[name] = wrt

            if con_meta[name]['linear'] is True:
                opt_prob.addConGroup(name, size, upper=upper, lower=lower,
                                     linear=True, wrt=wrt,
                                     jac=self.lin_jacs[name])
            else:
                opt_prob.addConGroup(name, size, upper=upper, lower=lower,
                                     wrt=wrt)

        # Instantiate the requested optimizer
        optimizer = self.options['optimizer']
        try:
            exec('from pyoptsparse import %s' % optimizer)
        except ImportError:
            msg = "Optimizer %s is not available in this installation." % \
                   optimizer
            raise ImportError(msg)

        optname = vars()[optimizer]
        opt = optname()

        #Set optimization options
        for option, value in self.opt_settings.items():
            opt.setOption(option, value)

        self._problem = problem

        # Execute the optimization problem
        if self.options['pyopt_diff'] is True:
            # Use pyOpt's internal finite difference
            fd_step = problem.root.fd_options['step_size']
            sol = opt(opt_prob, sens='FD', sensStep=fd_step, storeHistory=self.hist_file)
        else:
            # Use OpenMDAO's differentiator for the gradient
            sol = opt(opt_prob, sens=self._gradfunc, storeHistory=self.hist_file)

        self._problem = None

        # Print results
        if self.options['print_results'] is True:
            print(sol)

        # Pull optimal parameters back into framework and re-run, so that
        # framework is left in the right final state
        dv_dict = sol.getDVs()
        for name in indep_list:
            val = dv_dict[name]
            self.set_desvar(name, val)

        self.root.solve_nonlinear(metadata=self.metadata)

        # Save the most recent solution.
        self.pyopt_solution = sol
        try:
            exit_status = sol.optInform['value']
            self.exit_flag = 1
            if exit_status > 2: # bad
                self.exit_flag = 0
        except KeyError: #nothing is here, so something bad happened!
            self.exit_flag = 0
Пример #48
0
 
 Cp = 0.4
 dens = 1.225
 velf = 15.
 
 power_iso = powerval(Cp,dens,velf,turb_dia)
 
 x0 = xt
 y0 = yt
 area = 2
 xlow = points[0]-spacing*area
 xupp = points[-1]+spacing*area
 ylow = points[0]-spacing*area
 yupp = points[-1]+spacing*area
 
 optProb = Optimization('VAWT_Power', obj_func)
 optProb.addObj('obj')
 
 n = np.size(x0)
 optProb.addVarGroup('xvars', n, 'c', lower=xlow, upper=xupp, value=x0)
 optProb.addVarGroup('yvars', n, 'c', lower=ylow, upper=yupp, value=y0)
 
 num_cons_sep = (n-1)*n/2
 optProb.addConGroup('sep', num_cons_sep, lower=0, upper=None)
 
 opt = SNOPT()
 opt.setOption('Scale option',0)
 res = opt(optProb, sens=None)
 print res
 
 pow = np.array(-1*res.fStar)
Пример #49
0
    def execute(self):
        """pyOpt execution. Note that pyOpt controls the execution, and the
        individual optimizers control the iteration."""

        self.pyOpt_solution = None

        self.run_iteration()

        opt_prob = Optimization(self.title, self.objfunc)

        # Add all parameters
        self.param_type = {}
        self.nparam = self.total_parameters()
        param_list = []
        for name, param in self.get_parameters().iteritems():

            # We need to identify Enums, Lists, Dicts
            metadata = param.get_metadata()[1]
            values = param.evaluate()

            # Assuming uniform enumerated, discrete, or continuous for now.
            val = values[0]
            choices = []
            if 'values' in metadata and \
               isinstance(metadata['values'], (list, tuple, array, set)):
                vartype = 'd'
                choices = metadata['values']
            elif isinstance(val, bool):
                vartype = 'd'
                choices = [True, False]
            elif isinstance(val, (int, int32, int64)):
                vartype = 'i'
            elif isinstance(val, (float, float32, float64)):
                vartype = 'c'
            else:
                msg = 'Only continuous, discrete, or enumerated variables' \
                      ' are supported. %s is %s.' % (name, type(val))
                self.raise_exception(msg, ValueError)
            self.param_type[name] = vartype

            lower_bounds = param.get_low()
            upper_bounds = param.get_high()
            opt_prob.addVarGroup(name, len(values), type=vartype,
                                 lower=lower_bounds, upper=upper_bounds,
                                 value=values, choices=choices)
            param_list.append(name)

        # Add all objectives
        for name, obj in self.get_objectives().iteritems():
            name = '%s.out0' % obj.pcomp_name
            opt_prob.addObj(name)

        # Calculate and save gradient for any linear constraints.
        lcons = self.get_constraints(linear=True).values() + \
                self.get_2sided_constraints(linear=True).values()
        if len(lcons) > 0:
            lcon_names = ['%s.out0' % obj.pcomp_name for obj in lcons]
            self.lin_jacs = self.workflow.calc_gradient(param_list, lcon_names,
                                                   return_format='dict')

        # Add all equality constraints
        nlcons = []
        for name, con in self.get_eq_constraints().iteritems():
            size = con.size
            lower = zeros((size))
            upper = zeros((size))
            name = '%s.out0' % con.pcomp_name
            if con.linear is True:
                opt_prob.addConGroup(name, size, lower=lower, upper=upper,
                                     linear=True, wrt=param_list,
                                     jac=self.lin_jacs[name])
            else:
                opt_prob.addConGroup(name, size, lower=lower, upper=upper)
                nlcons.append(name)

        # Add all inequality constraints
        for name, con in self.get_ineq_constraints().iteritems():
            size = con.size
            upper = zeros((size))
            name = '%s.out0' % con.pcomp_name
            if con.linear is True:
                opt_prob.addConGroup(name, size, upper=upper, linear=True,
                wrt=param_list, jac=self.lin_jacs[name])
            else:
                opt_prob.addConGroup(name, size, upper=upper)
                nlcons.append(name)

        # Add all double_sided constraints
        for name, con in self.get_2sided_constraints().iteritems():
            size = con.size
            upper = con.high * ones((size))
            lower = con.low * ones((size))
            name = '%s.out0' % con.pcomp_name
            if con.linear is True:
                opt_prob.addConGroup(name, size, upper=upper, lower=lower,
                                     linear=True, wrt=param_list,
                                     jac=self.lin_jacs[name])
            else:
                opt_prob.addConGroup(name, size, upper=upper, lower=lower)
                nlcons.append(name)

        self.objs = self.list_objective_targets()
        self.nlcons = nlcons

        # Instantiate the requested optimizer
        optimizer = self.optimizer
        try:
            exec('from pyoptsparse import %s' % optimizer)
        except ImportError:
            msg = "Optimizer %s is not available in this installation." % \
                   optimizer
            self.raise_exception(msg, ImportError)

        optname = vars()[optimizer]
        opt = optname()

        # Set optimization options
        for option, value in self.options.iteritems():
            opt.setOption(option, value)

        # Execute the optimization problem
        if self.pyopt_diff:
            # Use pyOpt's internal finite difference
            sol = opt(opt_prob, sens='FD', sensStep=self.gradient_options.fd_step)
        else:
            # Use OpenMDAO's differentiator for the gradient
            sol = opt(opt_prob, sens=self.gradfunc)

        # Print results
        if self.print_results:
            print sol

        # Pull optimal parameters back into framework and re-run, so that
        # framework is left in the right final state
        dv_dict = sol.getDVs()
        param_types = self.param_type
        for name, param in self.get_parameters().iteritems():
            val = dv_dict[name]
            if param_types[name] == 'i':
                val = int(round(val))

            self.set_parameter_by_name(name, val)

        self.run_iteration()

        # Save the most recent solution.
        self.pyOpt_solution = sol
def fit(s,t,length,plot,comp,read_data,opt_print):
    global posdn
    global poslt
    global velod
    
    t2 = t+'.0'

    wfit = s+'_'+t2
    wfit2 = s+'_'+t2
    wfit3 = s+'_'+t2
    wfit4 = s+'_'+t2
    wfit5 = s+'_'+t2
    wfit6 = s+'_'+t2

    length2 = length
    length3 = length
    length4 = length
    length5 = length
    length6 = length
    wind = 15.
    wind2 = 14.
    wind3 = 12.
    wind4 = 16.

    rad = 3.
    dia = rad*2.
    tsr = float(wfit[3]+'.'+wfit[4]+wfit[5])
    rot = tsr*wind/rad
    rot2 = tsr*wind2/rad
    rot3 = tsr*wind3/rad
    rot4 = tsr*wind4/rad
    rot5 = 17.
    rot6 = 18.
    wind5 = rot5*rad/tsr
    wind6 = rot6*rad/tsr

    if comp == 'mac':
        # fdata = '/Users/ning1/Documents/Flow Lab/STAR-CCM+/NACA0021/MoveForward/test.csv'
        fdata = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/Velocity Sections/'+wfit+'.csv'
        fdata2 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/vel14/Velocity/'+wfit2+'.csv'
        fdata3 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/vel12/Velocity/'+wfit3+'.csv'
        fdata4 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/vel16/Velocity/'+wfit4+'.csv'
        fdata5 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/rot17/Velocity/'+wfit5+'.csv'
        fdata6 = '/Users/ning1/Documents/FLOW Lab/STAR-CCM+/NACA0021/MoveForward/CrossValidate/rot18/Velocity/'+wfit6+'.csv'
    elif comp == 'fsl':
        fdata = '/fslhome/ebtingey/compute/moveForward/Velocity/'+wfit+'.csv'
        fdata2 = '/fslhome/ebtingey/compute/moveForward/vel14/Velocity/'+wfit2+'.csv'
        fdata3 = '/fslhome/ebtingey/compute/moveForward/vel12/Velocity/'+wfit3+'.csv'
        fdata4 = '/fslhome/ebtingey/compute/moveForward/vel16/Velocity/'+wfit4+'.csv'
        fdata5 = '/fslhome/ebtingey/compute/moveForward/rot17/Velocity/'+wfit5+'.csv'
        fdata6 = '/fslhome/ebtingey/compute/moveForward/rot18/Velocity/'+wfit6+'.csv'
    elif comp == 'win':
        fdata = 'C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//Velocity Sections//'+wfit+'.csv'
        fdata2 = 'C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//CrossValidate//vel14//Velocity//'+wfit2+'.csv'
        fdata3 = 'C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//CrossValidate//vel12//Velocity//'+wfit3+'.csv'
        fdata4 = 'C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//CrossValidate//vel16//Velocity//'+wfit4+'.csv'
        fdata5 = 'C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//CrossValidate//rot17//Velocity//'+wfit5+'.csv'
        fdata6 = 'C://Users//TingeyPC//Documents//zStar-CCM//STAR-CCM//NACA0021//MoveForward//CrossValidate//rot18//Velocity//'+wfit6+'.csv'



    if read_data ==1:
        posdn,poslt,velod = starccm_read(np.array([fdata]),dia,np.array([wind]),length,opt_print)
    if read_data ==2:
        posdn,poslt,velod = starccm_read(np.array([fdata,fdata2]),dia,np.array([wind,wind2]),length,opt_print)
    if read_data ==3:
        posdn,poslt,velod = starccm_read(np.array([fdata,fdata2,fdata3]),dia,np.array([wind,wind2,wind3]),length,opt_print)
    if read_data ==4:
        posdn,poslt,velod = starccm_read(np.array([fdata,fdata2,fdata3,fdata4]),dia,np.array([wind,wind2,wind3,wind4]),length,opt_print)
    if read_data ==5:
        posdn,poslt,velod = starccm_read(np.array([fdata,fdata2,fdata3,fdata4,fdata5]),dia,np.array([wind,wind2,wind3,wind4,wind5]),length,opt_print)
    if read_data ==6:
        posdn,poslt,velod = starccm_read(np.array([fdata,fdata2,fdata3,fdata4,fdata5,fdata6]),dia,np.array([wind,wind2,wind3,wind4,wind5,wind6]),length,opt_print)

    if plot == True:
        if read_data ==1:
            pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read2(np.array([fdata]),dia,np.array([wind]),opt_print)
        if read_data ==2:
            pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read2(np.array([fdata,fdata2]),dia,np.array([wind,wind2]),opt_print)
        if read_data ==3:
            pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read2(np.array([fdata,fdata2,fdata3]),dia,np.array([wind,wind2,wind3]),opt_print)
        if read_data ==4:
            pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read2(np.array([fdata,fdata2,fdata3,fdata4]),dia,np.array([wind,wind2,wind3,wind4]),opt_print)
        if read_data ==5:
            pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read2(np.array([fdata,fdata2,fdata3,fdata4,fdata5]),dia,np.array([wind,wind2,wind3,wind4,wind5]),opt_print)
        if read_data ==6:
            pos1d,pos2d,pos3d,pos4d,pos5d,pos6d,pos7d,pos8d,pos9d,pos10d,pos11d,pos12d,pos13d,pos14d,pos15d,pos16d,pos17d,pos18d,pos19d,pos20d,pos21d,pos22d,pos23d,pos24d,pos25d,pos26d,pos27d,pos28d,pos29d,pos30d,velo1d,velo2d,velo3d,velo4d,velo5d,velo6d,velo7d,velo8d,velo9d,velo10d,velo11d,velo12d,velo13d,velo14d,velo15d,velo16d,velo17d,velo18d,velo19d,velo20d,velo21d,velo22d,velo23d,velo24d,velo25d,velo26d,velo27d,velo28d,velo29d,velo30d = starccm_read2(np.array([fdata,fdata2,fdata3,fdata4,fdata5,fdata6]),dia,np.array([wind,wind2,wind3,wind4,wind5,wind6]),opt_print)

        start = length/30.
        xd = np.linspace(start,length,30)/dia



## Optimization
    optProb = Optimization('VAWTWake_Velo', obj_func)
    optProb.addObj('obj')

    spr10 = 10.0
    pow10 = 5.0
    pow20 = 0.5
    pow30 = 1.0
    spr20 = 2.0
    skw0 = 0.0
    odr0 = 2.0
    scl10 = 0.5
    scl20 = 0.1
    scl30 = 20.0

    # spr10 = 213.8593169
    # pow10 = 10.39210953
    # pow20 = 2.086951239
    # pow30 = 0.035659319
    # spr20 = 0.007589688
    # skw0 = 10.63462155
    # odr0 = 2.0
    # scl10 = 0.537566448
    # scl20 = 0.041077603
    # scl30 = 56.74689143

    param0 = np.array([spr10,pow10,pow20,pow30,spr20,skw0,odr0,scl10,scl20,scl30])

    param_l = np.array([0.,0.,0.,0.,0.,None,0.,0.,0.,0.])
    param_u = np.array([None,None,None,None,None,None,None,1.,1.,None])

    nparam = np.size(param0)
    optProb.addVarGroup('param', nparam, 'c', lower=param_l, upper=param_u, value=param0)
    
    opt = SNOPT()
    opt.setOption('Scale option',2)
    if comp == 'mac':
        opt.setOption('Print file','/Users/ning1/Documents/FLOW Lab/VAWTWakeModel/wake_model/data/OptVel/SNOPT_print'+s+'_'+t+'.out')
        opt.setOption('Summary file','/Users/ning1/Documents/FLOW Lab/VAWTWakeModel/wake_model/data/OptVel/SNOPT_summary'+s+'_'+t+'.out')
    elif comp == 'fsl':
        opt.setOption('Print file','/fslhome/ebtingey/compute/VAWTWakeModel/OptVel/SNOPT_print'+s+'_'+t+'.out')
        opt.setOption('Summary file','/fslhome/ebtingey/compute/VAWTWakeModel/OptVel/SNOPT_summary'+s+'_'+t+'.out')
    elif comp == 'win':
        opt.setOption('Print file','C://Users//TingeyPC//Documents//FLOW Lab//VAWTWakeModel//wake_model//data//optVel//SNOPT_print'+s+'_'+t+'.out')
        opt.setOption('Summary file','C://Users//TingeyPC//Documents//FLOW Lab//VAWTWakeModel//wake_model//data//OptVel//SNOPT_summary'+s+'_'+t+'.out')
    res = opt(optProb, sens=None)
    if opt_print == True:
        print res
    
    pow = res.fStar
    paramf = res.xStar['param']
    if opt_print == True:
        print paramf[0]
        print paramf[1]
        print paramf[2]
        print paramf[3]
        print paramf[4]
        print paramf[5]
        print paramf[6]
        print paramf[7]
        print paramf[8]
        print paramf[9]


    spr1 = paramf[0]
    pow1 = paramf[1]
    pow2 = paramf[2]
    pow3 = paramf[3]
    spr2 = paramf[4]
    skw = paramf[5]
    odr = paramf[6]
    scl1 = paramf[7]
    scl2 = paramf[8]
    scl3 = paramf[9]

    paper = False

    if plot == True:
        if paper == True:
            for i in range(30):
                name = str(i+1)
                ind = str(i)
                plt.figure(1)
                ax1 = plt.subplot(5,6,i+1)
                color = 'bo'
                color2 = 'r-'
                fs = 15
                lab = 'CFD'
                lab2 = 'Trend'
                tex = '$x/D$ = '+str("{0:.2f}".format(x[i]/dia))
                exec('xfit = np.linspace(min(pos'+name+'/dia)-1.,max(pos'+name+'/dia)+1.,500)')
                if i == 5:
                    exec('xfit = np.linspace(min(pos'+name+'d)-1.,max(pos'+name+'d)+1.,500)')
                    exec('plt.plot(velo'+name+'d,pos'+name+'d,color,label=lab)')
                    skw_v,spr_v,scl_v,rat_v,spr_v = paramfit(xd[i],skw,spr,scl,rat,spr)
                    plt.plot(veldist(xfit,skw_v,spr_v,scl_v,rat_v,spr_v),xfit,'r-',linewidth=2,label=lab2)
                    plt.xlim(0.,1.5)
                    # plt.ylim(-4.,4.)
                    plt.legend(loc="upper left", bbox_to_anchor=(1,1),fontsize=fs)
                else:
                    exec('xfit = np.linspace(min(pos'+name+'d)-1.,max(pos'+name+'d)+1.,500)')
                    exec('plt.plot(velo'+name+'d,pos'+name+'d,color)')
                    skw_v,spr_v,scl_v,rat_v,spr_v = paramfit(xd[i],skw,spr,scl,rat,spr)
                    plt.plot(veldist(xfit,skw_v,spr_v,scl_v,rat_v,spr_v),xfit,'r-',linewidth=2)
                    plt.xlim(0.,1.5)
                    # plt.ylim(-4.,4.)
                plt.text(0.3,0.8,tex,fontsize=fs)
                if i <= 23:
                    plt.setp(ax1.get_xticklabels(), visible=False)
                else:
                    plt.xlabel('$y/D$',fontsize=fs)
                    plt.xticks(fontsize=fs)
                if i == 0 or i == 6 or i == 12 or i == 18 or i ==24:
                    plt.ylabel(r'$u/U_\infty$',fontsize=fs)
                    plt.yticks(fontsize=fs)
                else:
                    plt.setp(ax1.get_yticklabels(), visible=False)


        elif paper == False:
            for i in range(30):
                name = str(i+1)
                plt.figure(1)
                plt.subplot(5,6,i+1)
                color = 'bo'
                exec('xfit = np.linspace(min(pos'+name+'d)-1.,max(pos'+name+'d)+1.,500)')
                exec('plt.plot(velo'+name+'d,pos'+name+'d,color)')
                plt.plot(veldist(xd[i],xfit,spr1,pow1,pow2,pow3,spr2,skw,odr,scl1,scl2,scl3),xfit,'r-',linewidth=2)
                plt.xlim(0.,1.5)
                # plt.ylim(-4.,4.)
                # plt.legend(loc=1)
                plt.xlabel('Normalized Velocity')
                plt.ylabel('$y/D$')
    
    return spr1,pow1,pow2,pow3,spr2,skw,odr,scl1,scl2,scl3
Пример #51
0
        exec('posdn'+name+'tr = posdns'+str(int(scvtr[i]))+'t'+str(int(tcvtr[i])))
        exec('poslt'+name+'tr = poslts'+str(int(scvtr[i]))+'t'+str(int(tcvtr[i])))
        exec('velod'+name+'tr = velods'+str(int(scvtr[i]))+'t'+str(int(tcvtr[i])))
        exec('xt'+name+'tr = xttr[i]')
        exec('ys'+name+'tr = ystr[i]')

    for i in range(np.size(scvts)):
        name = str(i+1)
        exec('posdn'+name+'ts = posdns'+str(int(scvts[i]))+'t'+str(int(tcvts[i])))
        exec('poslt'+name+'ts = poslts'+str(int(scvts[i]))+'t'+str(int(tcvts[i])))
        exec('velod'+name+'ts = velods'+str(int(scvts[i]))+'t'+str(int(tcvts[i])))
        exec('xt'+name+'ts = xtts[i]')
        exec('ys'+name+'ts = ysts[i]')

    # Optimization
    optProb = Optimization('VAWTWake_Sheet', obj_func)
    optProb.addObj('obj')

    if comp == 'mac':
        ordt = 5
        ords = 3
    elif comp == 'fsl':
        ordt = int(argv[1])
        ords = int(argv[2])

    ment0 = np.linspace(0.,0.,3)
    sdv1t0 = np.linspace(0.,0.,ordt)
    sdv2t0 = np.linspace(0.,0.,ordt)
    sdv3t0 = np.linspace(0.,0.,ordt)
    sdv4t0 = np.linspace(0.,0.,ordt)
    ratt0 = np.linspace(0.,0.,ordt)