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diff --git a/build/Scilab/intfmincon.sci b/build/Scilab/intfmincon.sci deleted file mode 100644 index cd234de..0000000 --- a/build/Scilab/intfmincon.sci +++ /dev/null @@ -1,589 +0,0 @@ -// Copyright (C) 2015 - IIT Bombay - FOSSEE -// -// This file must be used under the terms of the CeCILL. -// This source file is licensed as described in the file COPYING, which -// you should have received as part of this distribution. The terms -// are also available at -// http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt -// Author: Harpreet Singh, Pranav Deshpande and Akshay Miterani -// Organization: FOSSEE, IIT Bombay -// Email: toolbox@scilab.in - -function [xopt,fopt,exitflag,gradient,hessian] = intfmincon (varargin) - // Solves a constrainted multi-variable mixed integer non linear programming problem - // - // Calling Sequence - // xopt = intfmincon(f,x0,intcon,A,b) - // xopt = intfmincon(f,x0,intcon,A,b,Aeq,beq) - // xopt = intfmincon(f,x0,intcon,A,b,Aeq,beq,lb,ub) - // xopt = intfmincon(f,x0,intcon,A,b,Aeq,beq,lb,ub,nlc) - // xopt = intfmincon(f,x0,intcon,A,b,Aeq,beq,lb,ub,nlc,options) - // [xopt,fopt] = intfmincon(.....) - // [xopt,fopt,exitflag]= intfmincon(.....) - // [xopt,fopt,exitflag,gradient]=intfmincon(.....) - // [xopt,fopt,exitflag,gradient,hessian]=intfmincon(.....) - // - // Parameters - // f : a function, representing the objective function of the problem - // x0 : a vector of doubles, containing the starting values of variables. - // intcon : a vector of integers, represents which variables are constrained to be integers - // A : a matrix of double, represents the linear coefficients in the inequality constraints A⋅x ≤ b. - // b : a vector of double, represents the linear coefficients in the inequality constraints A⋅x ≤ b. - // Aeq : a matrix of double, represents the linear coefficients in the equality constraints Aeq⋅x = beq. - // beq : a vector of double, represents the linear coefficients in the equality constraints Aeq⋅x = beq. - // lb : Lower bounds, specified as a vector or array of double. lb represents the lower bounds elementwise in lb ≤ x ≤ ub. - // ub : Upper bounds, specified as a vector or array of double. ub represents the upper bounds elementwise in lb ≤ x ≤ ub. - // nlc : a function, representing the Non-linear Constraints functions(both Equality and Inequality) of the problem. It is declared in such a way that non-linear inequality constraints are defined first as a single row vector (c), followed by non-linear equality constraints as another single row vector (ceq). Refer Example for definition of Constraint function. - // options : a list, containing the option for user to specify. See below for details. - // xopt : a vector of doubles, containing the the computed solution of the optimization problem. - // fopt : a scalar of double, containing the the function value at x. - // exitflag : a scalar of integer, containing the flag which denotes the reason for termination of algorithm. See below for details. - // gradient : a vector of doubles, containing the Objective's gradient of the solution. - // hessian : a matrix of doubles, containing the Objective's hessian of the solution. - // - // Description - // Search the minimum of a mixed integer constrained optimization problem specified by : - // Find the minimum of f(x) such that - // - // <latex> - // \begin{eqnarray} - // &\mbox{min}_{x} - // & f(x) \\ - // & \text{subject to} & A*x \leq b \\ - // & & Aeq*x \ = beq\\ - // & & c(x) \leq 0\\ - // & & ceq(x) \ = 0\\ - // & & lb \leq x \leq ub \\ - // & & x_i \in \!\, \mathbb{Z}, i \in \!\, I - // \end{eqnarray} - // </latex> - // - // The routine calls Bonmin for solving the Bounded Optimization problem, Bonmin is a library written in C++. - // - // The options allows the user to set various parameters of the Optimization problem. - // It should be defined as type "list" and contains the following fields. - // <itemizedlist> - // <listitem>Syntax : options= list("IntegerTolerance", [---], "MaxNodes",[---], "MaxIter", [---], "AllowableGap",[---] "CpuTime", [---],"gradobj", "off", "hessian", "off" );</listitem> - // <listitem>IntegerTolerance : a Scalar, a number with that value of an integer is considered integer..</listitem> - // <listitem>MaxNodes : a Scalar, containing the Maximum Number of Nodes that the solver should search.</listitem> - // <listitem>CpuTime : a Scalar, containing the Maximum amount of CPU Time that the solver should take.</listitem> - // <listitem>AllowableGap : a Scalar, to stop the tree search when the gap between the objective value of the best known solution is reached.</listitem> - // <listitem>MaxIter : a Scalar, containing the Maximum Number of Iteration that the solver should take.</listitem> - // <listitem>gradobj : a string, to turn on or off the user supplied objective gradient.</listitem> - // <listitem>hessian : a Scalar, to turn on or off the user supplied objective hessian.</listitem> - // <listitem>Default Values : options = list('integertolerance',1d-06,'maxnodes',2147483647,'cputime',1d10,'allowablegap',0,'maxiter',2147483647,'gradobj',"off",'hessian',"off")</listitem> - // </itemizedlist> - // - // The exitflag allows to know the status of the optimization which is given back by Ipopt. - // <itemizedlist> - // <listitem>exitflag=0 : Optimal Solution Found </listitem> - // <listitem>exitflag=1 : InFeasible Solution.</listitem> - // <listitem>exitflag=2 : Objective Function is Continuous Unbounded.</listitem> - // <listitem>exitflag=3 : Limit Exceeded.</listitem> - // <listitem>exitflag=4 : User Interrupt.</listitem> - // <listitem>exitflag=5 : MINLP Error.</listitem> - // </itemizedlist> - // - // For more details on exitflag see the Bonmin documentation, go to http://www.coin-or.org/Bonmin - // - // Examples - // //Find x in R^2 such that it minimizes: - // //f(x)= -x1 -x2/3 - // //x0=[0,0] - // //constraint-1 (c1): x1 + x2 <= 2 - // //constraint-2 (c2): x1 + x2/4 <= 1 - // //constraint-3 (c3): x1 - x2 <= 2 - // //constraint-4 (c4): -x1/4 - x2 <= 1 - // //constraint-5 (c5): -x1 - x2 <= -1 - // //constraint-6 (c6): -x1 + x2 <= 2 - // //constraint-7 (c7): x1 + x2 = 2 - // //Objective function to be minimised - // function [y,dy]=f(x) - // y=-x(1)-x(2)/3; - // dy= [-1,-1/3]; - // endfunction - // //Starting point, linear constraints and variable bounds - // x0=[0 , 0]; - // intcon = [1] - // A=[1,1 ; 1,1/4 ; 1,-1 ; -1/4,-1 ; -1,-1 ; -1,1]; - // b=[2;1;2;1;-1;2]; - // Aeq=[1,1]; - // beq=[2]; - // lb=[]; - // ub=[]; - // nlc=[]; - // //Options - // options=list("GradObj", "on"); - // //Calling Ipopt - // [x,fval,exitflag,grad,hessian] =intfmincon(f, x0,intcon,A,b,Aeq,beq,lb,ub,nlc,options) - // // Press ENTER to continue - // - // Examples - // //Find x in R^3 such that it minimizes: - // //f(x)= x1*x2 + x2*x3 - // //x0=[0.1 , 0.1 , 0.1] - // //constraint-1 (c1): x1^2 - x2^2 + x3^2 <= 2 - // //constraint-2 (c2): x1^2 + x2^2 + x3^2 <= 10 - // //Objective function to be minimised - // function [y,dy]=f(x) - // y=x(1)*x(2)+x(2)*x(3); - // dy= [x(2),x(1)+x(3),x(2)]; - // endfunction - // //Starting point, linear constraints and variable bounds - // x0=[0.1 , 0.1 , 0.1]; - // intcon = [2] - // A=[]; - // b=[]; - // Aeq=[]; - // beq=[]; - // lb=[]; - // ub=[]; - // //Nonlinear constraints - // function [c,ceq,cg,cgeq]=nlc(x) - // c = [x(1)^2 - x(2)^2 + x(3)^2 - 2 , x(1)^2 + x(2)^2 + x(3)^2 - 10]; - // ceq = []; - // cg=[2*x(1) , -2*x(2) , 2*x(3) ; 2*x(1) , 2*x(2) , 2*x(3)]; - // cgeq=[]; - // endfunction - // //Options - // options=list("MaxIter", [1500], "CpuTime", [500], "GradObj", "on","GradCon", "on"); - // //Calling Ipopt - // [x,fval,exitflag,output] =intfmincon(f, x0,intcon,A,b,Aeq,beq,lb,ub,nlc,options) - // // Press ENTER to continue - // - // Examples - // //The below problem is an unbounded problem: - // //Find x in R^3 such that it minimizes: - // //f(x)= -(x1^2 + x2^2 + x3^2) - // //x0=[0.1 , 0.1 , 0.1] - // // x1 <= 0 - // // x2 <= 0 - // // x3 <= 0 - // //Objective function to be minimised - // function y=f(x) - // y=-(x(1)^2+x(2)^2+x(3)^2); - // endfunction - // //Starting point, linear constraints and variable bounds - // x0=[0.1 , 0.1 , 0.1]; - // intcon = [3] - // A=[]; - // b=[]; - // Aeq=[]; - // beq=[]; - // lb=[]; - // ub=[0,0,0]; - // //Options - // options=list("MaxIter", [1500], "CpuTime", [500]); - // //Calling Ipopt - // [x,fval,exitflag,grad,hessian] =intfmincon(f, x0,intcon,A,b,Aeq,beq,lb,ub,[],options) - // // Press ENTER to continue - // - // Examples - // //The below problem is an infeasible problem: - // //Find x in R^3 such that in minimizes: - // //f(x)=x1*x2 + x2*x3 - // //x0=[1,1,1] - // //constraint-1 (c1): x1^2 <= 1 - // //constraint-2 (c2): x1^2 + x2^2 <= 1 - // //constraint-3 (c3): x3^2 <= 1 - // //constraint-4 (c4): x1^3 = 0.5 - // //constraint-5 (c5): x2^2 + x3^2 = 0.75 - // // 0 <= x1 <=0.6 - // // 0.2 <= x2 <= inf - // // -inf <= x3 <= 1 - // //Objective function to be minimised - // function [y,dy]=f(x) - // y=x(1)*x(2)+x(2)*x(3); - // dy= [x(2),x(1)+x(3),x(2)]; - // endfunction - // //Starting point, linear constraints and variable bounds - // x0=[1,1,1]; - // intcon = [2] - // A=[]; - // b=[]; - // Aeq=[]; - // beq=[]; - // lb=[0 0.2,-%inf]; - // ub=[0.6 %inf,1]; - // //Nonlinear constraints - // function [c,ceq,cg,cgeq]=nlc(x) - // c=[x(1)^2-1,x(1)^2+x(2)^2-1,x(3)^2-1]; - // ceq=[x(1)^3-0.5,x(2)^2+x(3)^2-0.75]; - // cg = [2*x(1),0,0;2*x(1),2*x(2),0;0,0,2*x(3)]; - // cgeq = [3*x(1)^2,0,0;0,2*x(2),2*x(3)]; - // endfunction - // //Options - // options=list("MaxIter", [1500], "CpuTime", [500], "GradObj", "on","GradCon", "on"); - // //Calling Ipopt - // [x,fval,exitflag,grad,hessian] =intfmincon(f, x0,intcon,A,b,Aeq,beq,lb,ub,nlc,options) - // // Press ENTER to continue - // Authors - // Harpreet Singh - - //To check the number of input and output arguments - [lhs , rhs] = argn(); - - //To check the number of arguments given by the user - if ( rhs<4 | rhs>11 ) then - errmsg = msprintf(gettext("%s: Unexpected number of input arguments : %d provided while should be int [4 5] "), "intfmincon", rhs); - error(errmsg); - end - - //Storing the Input Parameters - fun = varargin(1); - x0 = varargin(2); - intcon = varargin(3); - A = varargin(4); - b = varargin(5); - Aeq = []; - beq = []; - lb = []; - ub = []; - nlc = []; - - if (rhs>5) then - Aeq = varargin(6); - beq = varargin(7); - end - - if (rhs>7) then - lb = varargin(8); - ub = varargin(9); - end - - if (rhs>9) then - nlc = varargin(10); - end - - param = list(); - //To check whether options has been entered by user - if ( rhs> 10) then - param =varargin(11); - end - - //To check whether the Input arguments - Checktype("intfmincon", fun, "fun", 1, "function"); - Checktype("intfmincon", x0, "x0", 2, "constant"); - Checktype("intfmincon", intcon, "intcon", 3, "constant"); - Checktype("intfmincon", A, "A", 4, "constant"); - Checktype("intfmincon", b, "b", 5, "constant"); - Checktype("intfmincon", Aeq, "Aeq", 6, "constant"); - Checktype("intfmincon", beq, "beq", 7, "constant"); - Checktype("intfmincon", lb, "lb", 8, "constant"); - Checktype("intfmincon", ub, "ub", 9, "constant"); - Checktype("intfmincon", nlc, "nlc", 10, ["constant","function"]); - Checktype("intfmincon", param, "options", 11, "list"); - - - nbVar = size(x0,"*"); - if(nbVar==0) then - errmsg = msprintf(gettext("%s: x0 cannot be an empty"), "intfmincon"); - error(errmsg); - end - - if(size(lb,"*")==0) then - lb = repmat(-%inf,nbVar,1); - end - - if(size(ub,"*")==0) then - ub = repmat(%inf,nbVar,1); - end - - //////////////// To Check linear constraints ///////// - - //To check for correct size of A(3rd paramter) - if(size(A,2)~=nbVar & size(A,2)~=0) then - errmsg = msprintf(gettext("%s: Expected Matrix of size (No of linear inequality constraints X No of Variables) or an Empty Matrix for Linear Inequality Constraint coefficient Matrix A"), intfmincon); - error(errmsg); - end - nbConInEq=size(A,"r"); - - //To check for the correct size of Aeq (5th paramter) - if(size(Aeq,2)~=nbVar & size(Aeq,2)~=0) then - errmsg = msprintf(gettext("%s: Expected Matrix of size (No of linear equality constraints X No of Variables) or an Empty Matrix for Linear Equality Constraint coefficient Matrix Aeq"), intfmincon); - error(errmsg); - end - nbConEq=size(Aeq,"r"); - - ///////////////// To check vectors ///////////////// - - Checkvector("intfmincon", x0, "x0", 2, nbVar); - x0 = x0(:); - if(size(intcon,"*")) then - Checkvector("intfmincon", intcon, "intcon", 3, size(intcon,"*")) - intcon = intcon(:); - end - if(nbConInEq) then - Checkvector("intfmincon", b, "b", 5, nbConInEq); - b = b(:); - end - if(nbConEq) then - Checkvector("intfmincon", beq, "beq", 7, nbConEq); - beq = beq(:); - end - Checkvector("intfmincon", lb, "lb", 8, nbVar); - lb = lb(:); - - Checkvector("intfmincon", ub, "ub", 9, nbVar); - ub = ub(:); - - /////////////// To check integer ////////////////////// - for i=1:size(intcon,1) - if(intcon(i)>nbVar) then - errmsg = msprintf(gettext("%s: The values inside intcon should be less than the number of variables"), "intfmincon"); - error(errmsg); - end - - if (intcon(i)<0) then - errmsg = msprintf(gettext("%s: The values inside intcon should be greater than 0 "), "intfmincon"); - error(errmsg); - end - - if(modulo(intcon(i),1)) then - errmsg = msprintf(gettext("%s: The values inside intcon should be an integer "), "intfmincon"); - error(errmsg); - end - end - -options = list('integertolerance',1d-06,'maxnodes',2147483647,'cputime',1d10,'allowablegap',0,'maxiter',2147483647,'gradobj',"off",'hessian',"off",'gradcon',"off") - - //Pushing param into default value - - for i = 1:(size(param))/2 - select convstr(param(2*i-1),'l') - case 'integertolerance' then - Checktype("intfmincon_options", param(2*i), param(2*i-1), 2*i, "constant"); - options(2) = param(2*i); - case 'maxnodes' then - Checktype("intfmincon_options", param(2*i), param(2*i-1), 2*i, "constant"); - options(4) = param(2*i); - case 'cputime' then - Checktype("intfmincon_options", param(2*i), param(2*i-1), 2*i, "constant"); - options(6) = param(2*i); - case 'allowablegap' then - Checktype("intfmincon_options", param(2*i), param(2*i-1), 2*i, "constant"); - options(8) = param(2*i); - case 'maxiter' then - Checktype("intfmincon_options", param(2*i), param(2*i-1), 2*i, "constant"); - options(10) = param(2*i); - case 'gradobj' then - Checktype("intfmincon_options", param(2*i), param(2*i-1), 2*i, "string"); - if(convstr(param(2*i),'l') == "on") then - options(12) = "on" - elseif(convstr(param(2*i),'l') == "off") then - options(12) = "off" - else - error(999, 'Unknown string passed in gradobj.'); - end - case 'hessian' then - Checktype("intfmincon_options", param(2*i), param(2*i-1), 2*i, "function"); - options(14) = param(2*i); - case 'gradcon' then - Checktype("intfmincon_options", param(2*i), param(2*i-1), 2*i, "string"); - if(convstr(param(2*i),'l') == "on") then - options(16) = "on" - elseif(convstr(param(2*i),'l') == "off") then - options(16) = "off" - else - error(999, 'Unknown string passed in gradcon.'); - end - else - error(999, 'Unknown string argument passed.'); - end - end - - ///////////////// Functions Check ///////////////// - - //To check the match between f (1st Parameter) and x0 (2nd Parameter) - if(execstr('init=fun(x0)','errcatch')==21) then - errmsg = msprintf(gettext("%s: Objective function and x0 did not match"), "intfmincon"); - error(errmsg); - end - - if(options(12) == "on") then - if(execstr('[grad_y,grad_dy]=fun(x0)','errcatch')==59) then - errmsg = msprintf(gettext("%s: Gradient of objective function is not provided"), "intfmincon"); - error(errmsg); - end - if(grad_dy<>[]) then - Checkvector("intfmincon_options", grad_dy, "dy", 12, nbVar); - end - end - - if(options(14) == "on") then - if(execstr('[hessian_y,hessian_dy,hessian]=fun(x0)','errcatch')==59) then - errmsg = msprintf(gettext("%s: Gradient of objective function is not provided"), "intfmincon"); - error(errmsg); - end - if ( ~isequal(size(hessian) == [nbVar nbVar]) ) then - errmsg = msprintf(gettext("%s: Size of hessian should be nbVar X nbVar"), "intfmincon"); - error(errmsg); - end - end - - numNlic = 0; - numNlec = 0; - numNlc = 0; - - if (type(nlc) == 13 | type(nlc) == 11) then - [sample_c,sample_ceq] = nlc(x0); - if(execstr('[sample_c,sample_ceq] = nlc(x0)','errcatch')==21) then - errmsg = msprintf(gettext("%s: Non-Linear Constraint function and x0 did not match"), intfmincon); - error(errmsg); - end - numNlic = size(sample_c,"*"); - numNlec = size(sample_ceq,"*"); - numNlc = numNlic + numNlec; - end - - /////////////// Creating conLb and conUb //////////////////////// - - conLb = [repmat(-%inf,numNlic,1);repmat(0,numNlec,1);repmat(-%inf,nbConInEq,1);beq;] - conUb = [repmat(0,numNlic,1);repmat(0,numNlec,1);b;beq;] - - //Converting the User defined Objective function into Required form (Error Detectable) - function [y,check] = _f(x) - try - y=fun(x) - [y,check] = checkIsreal(y) - catch - y=0; - check=1; - end - endfunction - - //Defining an inbuilt Objective gradient function - function [dy,check] = _gradf(x) - if (options(12) =="on") then - try - [y,dy]=fun(x) - [dy,check] = checkIsreal(dy) - catch - dy = 0; - check=1; - end - else - try - dy=numderivative(fun,x) - [dy,check] = checkIsreal(dy) - catch - dy=0; - check=1; - end - end - endfunction - - function [y,check] = _addnlc(x) - x= x(:) - c = [] - ceq = [] - try - if((type(nlc) == 13 | type(nlc) == 11) & numNlc~=0) then - [c,ceq]=nlc(x) - end - ylin = [A*x;Aeq*x]; - y = [c(:);ceq(:);ylin(:);]; - [y,check] = checkIsreal(y) - catch - y=0; - check=1; - end - endfunction - - //Defining an inbuilt jacobian of constraints function - function [dy,check] = _gradnlc(x) - if (options(16) =="on") then - try - [y1,y2,dy1,dy2]=nlc(x) - //Adding derivative of Linear Constraint - dylin = [A;Aeq] - dy = [dy1;dy2;dylin]; - [dy,check] = checkIsreal(dy) - catch - dy = 0; - check=1; - end - else - try - dy=numderivative(_addnlc,x) - [dy,check] = checkIsreal(dy) - catch - dy=0; - check=1; - end - end - endfunction - - //Defining a function to calculate Hessian if the respective user entry is OFF - function [hessy,check]=_gradhess(x,obj_factor,lambda) - x=x(:); - if (type(options(14)) == "function") then - try - [obj,dy,hessy] = fun(x,obj_factor,lambda) - [hessy,check] = checkIsreal(hessy) - catch - hessy = 0; - check=1; - end - else - try - [dy,hessfy]=numderivative(_f,x) - hessfy = matrix(hessfy,nbVar,nbVar) - if((type(nlc) == 13 | type(nlc) == 11) & numNlc~=0) then - [dy,hessny]=numderivative(nlc,x) - end - hessianc = [] - for i = 1:numNlc - hessianc = hessianc + lambda(i)*matrix(hessny(i,:),nbVar,nbVar) - end - hessy = obj_factor*hessfy + hessianc; - [hessy,check] = checkIsreal(hessy) - catch - hessy=0; - check=1; - end - end - endfunction - - intconsize = size(intcon,"*") - - [xopt,fopt,exitflag] = inter_fmincon(_f,_gradf,_addnlc,_gradnlc,_gradhess,x0,lb,ub,conLb,conUb,intcon,options,nbConInEq+nbConEq); - - //In the cases of the problem not being solved, return NULL to the output matrices - if( exitflag~=0 & exitflag~=3 ) then - gradient = []; - hessian = []; - else - [ gradient, hessian] = numderivative(_f, xopt) - end - - //To print output message - select exitflag - - case 0 then - printf("\nOptimal Solution Found.\n"); - case 1 then - printf("\nInFeasible Solution.\n"); - case 2 then - printf("\nObjective Function is Continuous Unbounded.\n"); - case 3 then - printf("\Limit Exceeded.\n"); - case 4 then - printf("\nUser Interrupt.\n"); - case 5 then - printf("\nMINLP Error.\n"); - else - printf("\nInvalid status returned. Notify the Toolbox authors\n"); - break; - end -endfunction - -function [y, check] = checkIsreal(x) - if ((~isreal(x))) then - y = 0 - check=1; - else - y = x; - check=0; - end -endfunction |