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//pathname=get_absolute_file_path('7.11.sce') //filename=pathname+filesep()+'7.11-data.sci' //exec(filename) //Heat removed(in kJ): Q=500 //Temperature of the heat reservoir(in K): T1=835 //Temperature of the system(in K): T2=720 //Temperature of surroundings(in K): T0=280 //Availability for heat reservoir(in kJ/kg.K): A1=T0*Q/T1 //Availability for system(in kJ/kg.K): A2=T0*Q/T2 //Net loss of available energy(in kJ/kg.K): Anet=A1-A2 printf("\nRESULT") printf("\nLoss of available energy = %f kJ/kg.K",-Anet)
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// ajuste linear xs = [1; 2; 3; 4; 5; 6; 7; 8; 9; 10] ys = [1.3; 3.5; 4.2; 5.0; 7.0; 8.8; 10.1; 12.5; 13.0; 15.6] a11 = 10 a12 = sum(xs) a21 = a12 a22 = sum(xs.^2) A = [a11, a12; a21, a22] b1 = sum(ys) b2 = sum(xs.*ys) b = [b1; b2] X = inv(A)*b a0 = X(1) a1 = X(2) function y=f(x) y = a0 + a1.*x endfunction axes = get("default_axes"); axes.x_location = "origin"; axes.y_location = "origin"; t = 0:0.05:11 plot(t, f(t)) plot2d(xs, ys, -4) err = sum((ys - f(xs)).^2) printf("Erro: %g\n", err)
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// Exa1.21.4 clc; clear; close; // Given data Rho = 0.3623 * 10^-3;// in Ohm m Sigma = 1/Rho;//in mho/m D = 4.42 * 10^28;// Ge density in atom/m^3 n_d = D / 10^6;// in atom/m^3 e = 1.6 * 10^-19;// in C Mu = Sigma/(n_d * e);// in m^2/V.sec disp(Mu,"The mobility of electron in germanium in m^2/V.sec is");
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// Scilab Code Ex5.15 Determining applied tensile stress in a direction to initiate plastic deformation: Page-170 (2010) tau_critical = 0.7; // Critical resolved shear stress for fcc crystal, MPa // For directions [100] and [1 1 1] h1 = 1; k1 = 0; l1 = 0; // Miller indices for first set of planes h2 = 1; k2 = 1; l2 = 1; // Miller indices for second set of planes cos_phi = (h1*h2+k1*k2+l1*l2)/(sqrt(h1^2+k1^2+l1^2)*sqrt(h2^2+k2^2+l2^2)); // Cosine of angle between [100] and [1 1 1] directions // For directions [1 0 0] and [1 -1 0] h1 = 1; k1 = 0; l1 = 0 // Miller indices for first set of planes h2 = 1; k2 = -1; l2 = 0; // Miller indices for second set of planes cos_lambda = (h1*h2+k1*k2+l1*l2)/(sqrt(h1^2+k1^2+l1^2)*sqrt(h2^2+k2^2+l2^2)); // Cosine of angle between [1 0 0] and [1 -1 0] directions sigma_c = tau_critical/(cos_phi*cos_lambda); // The critical resolved shear stress in the [1 -1 0] direction on the (1 1 1) plane, MPa printf("\nThe critical resolved shear stress in the [1 -1 0] direction on the (1 1 1) plane = %3.1f MPa", sigma_c); // Result // The critical resolved shear stress in the [1 -1 0] direction on the (1 1 1) plane = 1.7 MPa
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//------------------------------------------------------------------------------ // FEDERAL UNIVERSITY OF UBERLANDIA // Faculty of Electrical Engineering // Biomedical Engineering Lab // Uberlandia, Brazil //------------------------------------------------------------------------------ // Author: Andrei Nakagawa, MSc // Contact: andrei.ufu@gmail.com //------------------------------------------------------------------------------ //------------------------------------------------------------------------------ //Kalman filter function [xplus,pplus] = kalman(F,G,H,Q,R,xk,pk,yk,uk) //time update (prediction) xminus = F*xk + G*uk; pminus = F*pk*F' + G*Q*G'; //measurement update (correction) measureError = yk - (H*xminus); kalmanGain = pminus*H' * inv(H*pminus*H' + R); //state estimate xplus = xminus + kalmanGain * measureError; //covariance pplus = pminus - kalmanGain*H*pminus; endfunction //------------------------------------------------------------------------------ //States //Position and velocity in X //Position and velocity in Y //Inputs //Force in X and Y function [Ac,Bc,Cc] = pointMassModel(m) Ac = [0 1 0 0; 0 0 0 0; 0 0 0 1; 0 0 0 0]; Bc = [0 0; 1/m 0; 0 0; 0 1/m]; Cc = eye(size(Ac,1),size(Ac,2)) endfunction //------------------------------------------------------------------------------ [A,B,C] = pointMassModel(1); //------------------------------------------------------------------------------ //Simulation parameters t0=0; tf=3; dt = 0.01; t = t0:dt:tf; //Continuous-time system contSys = syslin('c',A,B,C); //Discrete-time system discSys = dscr(contSys,dt); //------------------------------------------------------------------------------ //------------------------------------------------------------------------------ //Weight matrices Qd=diag([0.1,0.1,0.1,0.1]); Rd=diag([0.01,0.01]); //Discrete riccati Ad = discSys(2); //A Bd = discSys(3); //B //------------------------------------------------------------------------------ //------------------------------------------------------------------------------ //Differential Riccati Equation - Discrete-time //Calculating the solution to riccati for each instant in time //and then finding the time-varying gain for each time step //------------------------------------------------------------------------------ Sdisc = []; Kdisc = []; S0 = diag([500,0,120,0]); //Estimate for the Riccati matrix for k=1:length(t) //Calculating the time-varying gain K = inv(Bd'*S0*Bd + Rd)*(Bd'*S0*Ad); //New riccati solution S0 = Ad'*S0*Ad - Ad'*S0*Bd*((Rd + Bd'*S0*Bd)^-1)*Bd'*S0*Ad + Qd; //Stores the riccati solution Sdisc = [Sdisc S0]; //Stores the gain Kdisc = [Kdisc K]; end //------------------------------------------------------------------------------ cont = 1; //Desired setpoints or reference trajectory xd = [0;0;5;0]; xint = []; //stores all the states during integration uint = []; //stores all the inputs during integration costQ = [0]; //cost of states costR = [0]; //cost of control x0 = [0;0;0;0]; //temporary variable for storing states u0 = [0;0]; x = x0; xint = [xint x0]; uint = [uint u0]; //Perturbation //Rotation matrix Ck = [cos((30*%pi)/180) 0 -sin((30*%pi)/180) 0; sin((30*%pi)/180) 0 cos((30*%pi)/180) 0]; yint = [x0]; yaux = x0; //------------------------------------------------------------------------------ for k=1:length(t)-1 //Calculating the input u = -Kdisc(:,cont:cont+3) * (x-xd); //Calculating the new states x = Ad*x + Bd*u; //perturbation y = Ck*x; y = [y(1);0;y(2);0]; aux = [yint y]; yvx = diff(yint(1,:)); if yvx == [] then yvx = 0; end yvy = diff(yint(3,:)); if yvy == [] then yvy = 0; end yaux(1) = y(1); yaux(2) = yvx($); yaux(3) = y(3); yaux(4) = yvy($); yint = [yint yaux]; //Storing the new states xint = [xint x]; //Storing the new inputs uint = [uint u]; //Stores the cost in this step costQ = [costQ (x-xd)'*Qd*(x-xd)]; //Stores the cost in this step costR = [costR u'*Rd*u]; //Increments the counter to loop through the gain matrix cont = cont + 4; end //------------------------------------------------------------------------------ //------------------------------------------------------------------------------ figure(); plot(xint(1,:),xint(3,:),'k'); plot(xint(1,$),xint(3,$),'k.'); plot(yint(1,:),yint(3,:),'b'); plot(x0(1),x0(3),'b.'); plot(xd(1),xd(3),'r.'); ax=gca(); ax.data_bounds=[-5 -5; 5 5]; figure(); plot(t,xint(2,:),'r'); plot(t,xint(4,:),'g'); plot(t,uint(1,:),'k'); plot(t,uint(2,:),'k'); figure(); plot(t,costQ,'r'); plot(t,costR,'b'); title("Cost"); //------------------------------------------------------------------------------
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function [model,models_stat] = generate_pls_models_m( string_problem, nofstreams, nofeqps, train, validate, ndatarand,ndatainterval) // streams model models_stat = list(); total_train = nofstreams + nofeqps + 1; // total number of inputs length_train = size(validate,'r'); total_validate = total_train + nofstreams + nofeqps; //total number of variables (input + outputs) //pause // create the PLS model with the 'train' dataset the inputs are: // train(:,1:total_train) and the outputs are: //train(:,total_train+1:$) model = qpls(train(:,1:total_train),train(:,total_train+1:$),total_train,1,0); // create the PLS model with the 'train' dataset the inputs are: //pause // simulate the outputs from the generated mode, 'model', using the 'validate' dataset as input (validate(:,1:total_train) //and compare with the outputs, (validate(:,(total_train + 1):total_validate)) [Y0hat, pred_error,abs_pred_error,mean_absolute_error,imax_error,max_error] =predictq(validate(:,1:total_train),model,model.stat.bestdirs, validate(:,(total_train + 1):total_validate)); //Yhat holds the predictions //find the max value in the random error dataset which belongs to the measured streams find_max_rand_meas = max(abs(Y0hat(1:ndatarand,1:nofstreams ))); //find the max value in the random error dataset which belongs to the leakings. They are separeted because of the magnitude of the random errorsi find_max_rand_eqp = max(abs(Y0hat(1:ndatarand,nofstreams+1:$ ))); printf('\n find_max_rand_meas: %f', find_max_rand_meas) printf('\n find_max_rand_eqp: %f \n' , find_max_rand_eqp) for i = (total_train + 1):total_validate // pause model_s = struct(); // prediction Y0hat_int = Y0hat(:,i - total_train); predict_model.Y0hat = Y0hat_int; Y0_int = validate(:,i); predict_model.Y0 = Y0_int; predict_model.pred_error = Y0hat_int - Y0_int; predict_model.abs_pred_error = abs(Y0hat_int - Y0_int); predict_model.mean_absolute_error = sum(abs((Y0hat_int - Y0_int)))/length_train; [ predict_model.max_error, predict_model.imax_error] = max(abs(Y0hat_int - Y0_int)); // FIXME - CHECK FOR MULTIPLE ERRORS // find_max_rand = max(abs(validate(1:ndatatrain,i ))); //pause [find_simulated_error_i,find_simulated_error_j] = find(validate(:,i ) <> 0); [not_simulated_error_i,not_simulated_error_j] = find(validate(:,i ) == 0); find_simulated_error_j = unique(find_simulated_error_j); not_simulated_error_j = unique (not_simulated_error_j); min_lower = min(abs(Y0hat_int(find_simulated_error_i,find_simulated_error_j))); //disp(' inside generate_pls_models: ') //disp(i); // [find_upper_i,find_upper_j] = find(abs(Y0hat_int(find_simulated_error_i,find_simulated_error_j)) >= min_lower) ; // if i == 73 then // pause // else // end if length(find_simulated_error_i) > 0 then if( i - (total_train) <= nofstreams ) then [find_upper_i,find_upper_j] = find(abs(Y0hat_int(find_simulated_error_i,find_simulated_error_j)) >= find_max_rand_meas) ; else [find_upper_i,find_upper_j] = find(abs(Y0hat_int(find_simulated_error_i,find_simulated_error_j)) >= find_max_rand_eqp) ; end find_upper = length(find_upper_i )/length(find_simulated_error_i); // aee = sum(abs(validate(find_simulated_error_i,i)) - abs(Y0hat_int(find_simulated_error_i,find_simulated_error_j)))/length(find_simulated_error_i); aee = 100*abs(sum((validate(find_simulated_error_i,i) -Y0hat_int(find_simulated_error_i,find_simulated_error_j))./validate(find_simulated_error_i,i))/length(find_simulated_error_i)); else find_upper = 0; aee = -666; end // pause if length(not_simulated_error_i) > 0 & length(min_lower) > 0 then [find_lower_i,find_lower_j] = find(Y0hat_int(not_simulated_error_i,not_simulated_error_j) >= min_lower) avti = length(find(abs(validate(1:ndatarand,i ))) >= min_lower); find_lower = length(find_lower_i)/length(not_simulated_error_i); else find_lower = 1; avti = -6666 end // disp('before aee') // pause // predict_model.false_detection = find_lower; predict_model.selectivity = 1 - find_lower; predict_model.correct_detection = find_upper; predict_model.avti = avti; predict_model.aee = aee; // disp(i-total_train); model_s.prediction = predict_model; if (i - total_train) <= nofstreams then model_s.name = ('model_' + string_problem + '_stream_' + string(i - total_train)); else model_s.name = ('model_' + string_problem + '_leak_' + string(i - total_train - nofstreams)); end models_stat(i - total_train) = model_s; end endfunction
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function []=plot_graph2(g,orx,ory,wx,hy) //This function plot a graph with multiple arcs in the Scilab graphic window //with the orientation of arcs //It uses the data of the list defining the graph [lhs,rhs]=argn(0) // g check_graph(g) n=g('node_number');ma=g('edge_number'); xnodes=g('node_x');ynodes=g('node_y'); if (xnodes==[]|ynodes==[]) then error('plot_graph1: coordinates of nodes needed for plotting'); return; end diam=g('default_node_diam'); if diam==[] then diam=20;end; nodediam=g('node_diam');if nodediam==[] then nodediam=zeros(1,n);end; ii=find(nodediam==0);nodediam(ii)=diam*ones(ii);ray=0.5*nodediam; if rhs==1 then lim=max(nodediam); ah=min(xnodes);bh=max(xnodes); av=min(-ynodes);bv=max(-ynodes); enx=bh-ah;enx=max(enx,5.*lim); eny=bv-av;eny=max(eny,5.*lim); orx=ah+0.09*enx;wx=0.82*enx; ory=av+0.05*eny;hy=0.9*eny; else if rhs<>5 then error(39), end end xsetech([0,0,1.0,1.0],[orx,ory,orx+wx,ory+hy]); isoview(orx,orx+wx,ory,ory+hy); nodecolor=nodediam nodeborder=0*ones(1,n); nodefontsize=23040.*ones(1,n); // DEFINITION OF NODE PLOT metarcs=[xnodes-ray;-ynodes+ray;nodecolor;nodediam;nodeborder;nodefontsize]; xset("use color",1); ncolor=g('node_color') if ncolor=[] then ncolor=0*ones(1,n);end; vtail=g('tail');vhead=g('head');v=0*ones(1,ma); spp=0*ones(n,n); for i=1:ma ii=vtail(i); kk=vhead(i); spp(ii,kk)=spp(ii,kk)+1; at=spp(ii,kk)+spp(kk,ii)+0;v(i)=at end // PLOT OF STRAIGHT ARCS edgecolor=g('edge_color');if edgecolor==[] then edgecolor=1*ones(1,ma);end; ii=find(edgecolor==0);edgecolor(ii)=1*ones(ii); for i=1:ma if v(i)==1 then x1=xnodes(vtail(i));x2=xnodes(vhead(i)); y1=ynodes(vtail(i));y2=ynodes(vhead(i)); txx(1,1)=x1;txx(2,1)=x2; tyy(1,1)=-y1;tyy(2,1)=-y2; xpolys(txx,tyy,-edgecolor(i)); enorm=sqrt((x2-x1)**2+(y2-y1)**2); if enorm < 0.0000001 then enorm=1.;end; lsin=(x2-x1)/enorm;lcos=(y2-y1)/enorm; x1m=x1+0.5*(x2-x1)-6*lsin;y1m=y1+0.5*(y2-y1)-6*lcos; x1mm=x1m-6*lcos;y1mm=y1m+6*lsin; x2mm=x1m+6*lcos;y2mm=y1m-6*lsin; x3mm=x1m+12*lsin;y3mm=y1m+12*lcos; fr(1,1)=x1mm;fr(2,1)=x3mm;fr(3,1)=x2mm; gr(1,1)=-y1mm;gr(2,1)=-y3mm;gr(3,1)=-y2mm; xpolys(fr,gr,-edgecolor(i)); end end; // PLOT OF CURVED ARCS WITH ARROWS for i=1:ma if v(i)<>1 then ii=vtail(i); kk=vhead(i); x1=xnodes(ii);y1=ynodes(ii);x2=xnodes(kk);y2=ynodes(kk); x1p=x1+0.25*(x2-x1);y1p=y1+0.25*(y2-y1); x2p=x2-0.25*(x2-x1);y2p=y2-0.25*(y2-y1); iv=v(i);ivv=((-1)**iv)*round(iv/2)*sign(kk-ii);epai=10.*ivv; enorm=sqrt((x2-x1)**2+(y2-y1)**2); if enorm < 0.0000001 then enorm=1.;end; lsin=(x2-x1)/enorm;lcos=(y2-y1)/enorm; x1m=x1+0.5*(x2-x1)-6*lsin;y1m=y1+0.5*(y2-y1)-6*lcos; x1pp=x1p-epai*lcos;y1pp=y1p+epai*lsin; x2pp=x2p-epai*lcos;y2pp=y2p+epai*lsin; x1m=x1m-epai*lcos;y1m=y1m+epai*lsin; x1mm=x1m-6*lcos;y1mm=y1m+6*lsin; x2mm=x1m+6*lcos;y2mm=y1m-6*lsin; x3mm=x1m+12*lsin;y3mm=y1m+12*lcos; fr(1,1)=x1mm;fr(2,1)=x3mm;fr(3,1)=x2mm; gr(1,1)=-y1mm;gr(2,1)=-y3mm;gr(3,1)=-y2mm; xpolys(fr,gr,-edgecolor(i)); ar(1,1)=x1;ar(2,1)=x1pp;ar(3,1)=x2pp;ar(4,1)=x2; br(1,1)=-y1;br(2,1)=-y1pp;br(3,1)=-y2pp;br(4,1)=-y2; xpolys(ar,br,-edgecolor(i)); end end // PLOT OF LOOPS gona=diag(spp);ii=find(gona<>0);kk=size(ii); for i=1:kk(2) iii=ii(i); imax=gona(iii); x1=xnodes(iii);y1=-ynodes(iii); uni=nodediam(iii); jj=find(vtail==iii & vhead==iii); for k=1:imax xup=x1-0.5*uni; h=(k+0.5)*uni; yup=y1+h; icol=jj(k); metarc=[xup,yup,uni,h,0,23040]; xarcs(metarc',edgecolor(icol)-1); x1mm=xup-6;x3mm=xup;x2mm=xup+6; y1mm=y1+0.5*h+12;y3mm=y1+0.5*h;y2mm=y1mm; fr(1,1)=x1mm;fr(2,1)=x3mm;fr(3,1)=x2mm; gr(1,1)=y1mm;gr(2,1)=y3mm;gr(3,1)=y2mm; xpolys(fr,gr,-edgecolor(icol)); end end // PLOT OF SINK NODES GCD=ncolor;ii=find(GCD==0);GCD(ii)=1*ones(ii); nodetype=g('node_type');ii=find(nodetype==1);kk=size(ii); for i=1:kk(2) iii=ii(i); x1=xnodes(iii);y1=-ynodes(iii);mesu=nodediam(iii); xset('pattern',ncolor(iii)-1); xrect(x1-0.5*mesu,y1-0.5*mesu,mesu,mesu); ar(1,1)=x1-mesu;ar(2,1)=x1+mesu;ar(3,1)=x1;ar(4,1)=ar(1,1); br(1,1)=y1-1.5*mesu;br(2,1)=br(1,1);br(3,1)=y1-2.5*mesu;br(4,1)=br(1,1); xpolys(ar,br,-GCD(iii)); end // PLOT OF SOURCE NODES ii=find(nodetype==2);kk=size(ii); for i=1:kk(2) iii=ii(i); mesu=nodediam(iii);x1=xnodes(iii);y1=-ynodes(iii)+3*mesu; xset('pattern',ncolor(iii)-1); xrect(x1-0.5*mesu,y1-0.5*mesu,mesu,mesu); ar(1,1)=x1-mesu;ar(2,1)=x1+mesu;ar(3,1)=x1;ar(4,1)=ar(1,1); br(1,1)=y1-1.5*mesu;br(2,1)=br(1,1);br(3,1)=y1-2.5*mesu;br(4,1)=br(1,1); xpolys(ar,br,-GCD(iii)); end // FINAL PLOT OF PLAIN NODES xarcs(metarcs,ncolor-1);
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// Theory and Problems of Thermodynamics // Chapter 4 // Energy Analysis of Process // Example 12 clear ;clc; //The given problem is theoritical and does not involve any numerical computation
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Ex1_50.sce
//Ex:1.50 clc; clear; close; V=5*10^-3;// rms value in volt r=3*10^3;// in meter Rr=73;// the radiation resistance in ohm // The electric field in the far region may be given by // Ex=(60.pi.Im.sin(x)/y.r)*e^(-jko.r)*integrate('(cos(koz)*e^(jko.z.cos(x))),'z',-y/4,y/4) // Ex=(60.pi.Im.sin(x)/y.r)*e^(-jko.r)*integrate('(2.cos(ko)(cos(ko.z).cos(x)+j.sin(ko.z).cos(x))','z',0,y/4) // Ex=(60.pi.Im.sin(x)/y.r)*e^(-jko.r)*integrate('(2.cos(ko.z).cos(ko.z.cos(x)))','z',0,y/4) // on integrating, we get, // Ex=(60*Im/r)*(cos(pi/2.cos(x))/sin(x)) Emax=V*sqrt(2);// the peak value of field in V/m // on putting x=90 degree in Ex=(60*Im/r)*(cos(pi/2.cos(x))/sin(x)), we get // Emax=60*Im/r, then Im=Emax*r/60;// max current in amp Pav=(Im^2/2)*(Rr);// the average power in watts printf("The expression of total electric field amplidude, Ex=(60*Im/r)*(cos(pi/2.cos(x))/sin(x))") printf("\n The value of the average power= %f watts", Pav);
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Ch14Ex7.sci
// Scilab Code Ex14.7: Susceptibility and magnetisation of paramagnetic salt: Page-308 (2010) mu_0 = 4*%pi*1e-07; // Magnetic permeability of free space, tesla metre per ampere N_A = 6.02e+026; // Avogadro's number, per kmol rho = 4370; // Density of paramegnetic salt, kg per metre cube M = 168.5; // Molecular weight of paramagnetic salt, g/mol T = 27+273; // Temperature of paramagnetic salt, K H = 2e+005; // Field strength to which the paramagnetic salt is subjected, ampere per metre mu_B = 9.27e-024; // Bohr's magneton, ampere metre square p = 2; // Number of Bohr magnetons per molecule k = 1.38e-023; // Boltzmann constant, J/K N = rho*N_A/M; // Total density of atoms in the paramagnetic salt, per metr cube chi = mu_0*N*p^2*mu_B^2/(3*k*T); // Magnetic susceptibility of paramagnetic salt M = chi*H; // Magnetisation of paramagnetic salt, ampere per metre printf("\nThe magnetic susceptibility of paramagnetic salt = %4.2e per metre", chi); printf("\nThe magnetisation of paramagnetic salt = %4.2e ampere per metre", M); // Result // The magnetic susceptibility of paramagnetic salt = 5.43e-004 per metre // The magnetisation of paramagnetic salt = 1.09e+002 ampere per metre
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29_07.sce
//Problem 29.07: In an LR–C network, the capacitance is 10.61 nF, the bandwidth is 500 Hz and the resonant frequency is 150 kHz. Determine for the circuit (a) the Q-factor, (b) the dynamic resistance, and (c) the magnitude of the impedance when the supply frequency is 0.4% greater than the tuned frequency. //initializing the variables: C = 10.61E-9; // in Farad bw = 500; // in Hz fr = 150000; // in Hz x = 0.004 //calculation: //Q-factor Q = fr/bw wr = 2*%pi*fr //dynamic resistance, RD //Rd = Q*L/(C*wr*L) Rd = Q/(C*wr) del = x Z = Rd/(1 + (2*del*Q*%i)) Zmag = (real(Z)^2 + imag(Z)^2)^0.5 printf("\n\n Result \n\n") printf("\n (a)Q-factor %.2f",Q) printf("\n (b)dynamic resistance %.2E ohm",Rd) printf("\n (c)magnitude of the impedance %.2E ohm",Zmag)
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Exa2_15.sce
//Exa2.15 clc; clear; close; //given data alpha0=0.0038;// in ohm/ohm/degree C t1=20; //in degree C alpha20=1/(1/alpha0+t1); R1=400;//in ohm //Formula R2=R1*[1+alpha20*(t2-t1)] R2=R1*[1+alpha20*(80-20)]; disp("Resistance of wire at 80 degree C si : "+string(R2)+" ohm")
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ex5_1.sce
//Calculate saturation voltage and saturation current clear; clc; //soltion //given Vp=-4//V //pinch off voltage Idss=12*10^-3;//A //drain to source current with gate shorted Vgs=-2;//V //gate to source voltage Vds=Vgs-Vp; Id=Idss*(Vds/Vp)^2; printf("Saturation Voltage is %.0f V\n",Vds); printf("Saturation current is %.0f mA",Id*10^3);
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1_7_a.sce
//Example 1.7<a> //draw the waveform of the signal x1(t)=r(t-1) clc; clear all; t=-10:.001:10; for i=1:length(t) if t(i)>=0 then x(i)=t(i)+1; else x(i)=0; end end plot2d(x,t); xtitle('Required figure','t','x(t)')
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17.sce
clc // Given that lambda = 5460 // Wavelength in angstrom t = 6.3e-4 // Thickness of plate in cm n = 6 // order of fringe // Sample Problem 17 on page no. 100 printf("\n # PROBLEM 17 # \n") printf("\n Standard formula used \n (mu - 1)*t = n*lambda\n") mu = n*lambda*1e-10/(t*1e-2) +1 // Calculation of thickness of glass plate printf("\n Refractive index of sheet is %f.", mu)
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// without iddata function compare([yy,uu],sys) // other output datas [x0] = compare([yy,uu],sys) [fit x0] = compare([yy,uu],sys) [y fit x0] = compare([yy,uu],sys)
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Ex13_3.sce
// Display mode mode(0); // Display warning for floating point exception ieee(1); clear; clc; disp("Engineering Thermodynamics by Onkar Singh Chapter 13 Example 3") C=300;//aircraft flying speed in m/s P=0.472*10^5;//altitude pressure in Pa rho=0.659;//density in kg/m^3 y=1.4;//expansion constant R=287;//gas constant in J/kg K disp("From bernoulli equation,Po-P=(1/2)*rho*C^2") disp("so Po=P+(1/2)*rho*C^2 in N/m^2") Po=P+(1/2)*rho*C^2 disp("speed indicator reading shall be given by mach no.s") disp("mach no.,M=C/a=C/sqrt(y*R*T)") disp("using perfect gas equation,P=rho*R*T") disp("so T=P/(rho*R)in K") T=P/(rho*R) disp("so mach no.,M") M=C/sqrt(y*R*T) M=0.947;//approx. disp("considering compressibility effect,Po/P=(1+(y-1)*M^2/2)^(y/(y-1))") disp("so stagnation pressure,Po=P*((1+(y-1)*M^2/2)^(y/(y-1)))in N/m^2") Po=P*((1+(y-1)*M^2/2)^(y/(y-1))) disp("also Po-P=(1+k)*(1/2)*rho*C^2") disp("substitution yields,k=") k=((Po-P)/((1/2)*rho*C^2))-1 disp("so compressibility correction factor,k=0.2437")
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//Ex:2.18 clc; clear; close; fr=110*10^6;// frequency in Hz Q=70;// quality factor df=fr/Q;// bandwidth in MHz printf("The bandwidth= %f MHz", df/10^6); printf("\n The answer is wrong in the textbook");
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clc P1 = 101.3e03 P4 = P1 // in Pa P2 = 8*P1 P3 = P2 T1 = 288 Vs = 2000 V3 = 100 Vc = V3 V1 = Vs + Vc n = 1.25 R = 287 V4 = ((P3/P4)^(1/n))*V3 W = ((n*P1*(V1-V4)*1e-06)/(n-1))*(((P2/P1)^((n-1)/n))-1) P = (W*800*0.001)/60 m = (P1*(V1-V4)*1e-06)/(R*T1) m_dot = m*800 FAD = (V1-V4)*1e-06*800 Wt = P1*(V1-V4)*1e-06*log(P2/P1) n_isothermal = (Wt*800*0.001)/(P*60) Pi = P/0.85 n_v =100*(V1-V4)/Vs printf("\n Example 19.3\n") printf("\n Indicated poer is %f kW",P) printf("\n Volumetric efficiency is %f percent",n_v) printf("\n Mass flow rate is %f kg/min",m_dot) printf("\n Free air delivery is %f m^3/min",FAD) printf("\n Isothermal efficiency is %f percent",100*n_isothermal) printf("\n Input power is %f kW",Pi) //The answers vary due to round off error
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compile(skip:1 ; skip:2, C) :: C = [noop:1, noop:2]. phrase(stmt(S), [var(x), =, 5, +, 7]), add_control_points(S, Sp), compile(Sp, C) :: C = [push(7), push(5), add, store(x):_, eop:_]. phrase(stmt(S), [var(x), =, 5, *, 3, -, 2]), add_control_points(S, Sp), compile(Sp, C) :: C = [push(2), push(3), push(5), mult, sub | _]. phrase(stmt(S), [var(_), =, var(X)]), add_control_points(S, Sp), compile(Sp, C) :: C = [fetch(X), store(_):_, eop:_]. phrase(stmt(S), [while, l_paren, 5, '<=', 3, r_paren, ^, !, l_paren, false, r_paren, do, skip]), add_control_points(S, Sp), compile(Sp, C) :: C = [loop([false, neg, push(3), push(5), le, and], [noop:_]):_ , eop:_]. phrase(stmt(S), [while, true, ^, var(x), eq, 3, do, skip]), add_control_points(S, Sp), compile(Sp, C) :: C = [loop([push(3), fetch(x), eq, true, and], [noop:_]):_, eop:_]. compile(ass(var(y), 2 + 4):_, C) :: C = [push(4), push(2), add, store(y):_]. compile(cond(true, skip:_, skip:_):_, C) :: C = [true, branch([noop:_], [noop:_]):_]. compile(while(true, skip:_):_, C) :: C = [loop([true], [noop:_]):_]. compile((((5) / (0))), C) :: C = [push(0), push(5), div]. phrase(stmt(S), [try, var(z), =, 7, catch, l_paren, skip, semicolon, skip, r_paren]), add_control_points(S, Sp), compile(Sp, C) :: C = [try([push(7), store(z):_]):_, catch([noop:_, noop:_]):_, eop:_].
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clear; clc; disp("--------------Example 19.8---------------") //address :- 205.16.37.39/28 n=28; //cidr exp_of_2 = 32-n; num_of_addresses= 2^(exp_of_2); //formula to calculate number of addresses printf("\n The number of addresses in the block is %d.",num_of_addresses); //display the results
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//[stk,top,vnms,vtps]=get2f(nam,stk,top,vnms,vtps) // realise la traduction fortran de l'acquisition d'une variable (stackg) //! top=top+1 vn=find(nam=vnms(:,2)) if vn==[] then op1=lst(ilst+1) if op1(1)<>'5'|op1(2)<>'24' then if nam='%eps' then stk(top)=list('%eps','0','1','1','1') nv=prod(size(vnms))/2+1; vnms=[vnms;['%eps','%eps']] vtps(nv)=list('1','1','1',0) elseif nam='%i' then stk(top)=list(['0.0d0','1.0d0'],'0','1','1','1') elseif nam='%io' then stk(top)=list(%io,'0','0','1','2') nv=prod(size(vnms))/2+1; vnms=[vnms;['%io','%io']] vtps(nv)=list('0','1','2',0) else error('la variable: ' +nam+' n''est pas definie') end else stk(top)=list(nam,'?','0','0','0',0) end else typ=vtps(vn) stk(top)=list(vnms(vn,1),'0',typ(1),typ(2),typ(3)) end //end
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clear; clc; b = 10;//inches d = 1;//inches h = 20;//inches r = 2;//inches M_r = 500000;//lb-inches m = 15; A_r = 4*0.25*%pi*d^2;//in^2 h_eff = h-r;//inches K = m*A_r/(b*h_eff);//inches n1 = sqrt((K)^2+(2*K))-K; n = n1*h_eff;//inches a = h_eff-(n/3);//inches c = 2*M_r/(b*n*a);//lb/in^2 t = (h_eff-n)*m*c/n;//lb/in^2 printf('The stress induced in the concrete and steel, t = %d lb/in^2',t); //there is a minute error in the answer given in textbook.
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clc disp('suppose the coin is unbiased ') disp('then probability of getting the head in a toss=1/2') disp('then,expected no. of successes=a=1/2*400 ') a=1/2*400 disp('observed no. of successes =216') b=216 disp('the excess of observed value over expected value=') b-a disp('S.D. of simple sampling = (n*p*q)^0.5=c') c=(400*0.5*0.5)^0.5 disp('hence,z=(b-a)/c=') (b-a)/c disp('as z<1.96,the hypothesis is accepted at 5% level of significance')
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## Test path rename capability set relax read <sample1.fi path README rename REAMDE # Should succeed path .gitignore rename REAMDE # Should fail write -
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// 08.07.11 function Out=Zparapt(P) global PHI THETA; x=P(1); y=P(2); z=P(3); Out=x*cos(PHI)*sin(THETA)+y*sin(PHI)*sin(THETA)+z*cos(THETA); endfunction
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//Exa 2.19 format('v',9) clc; clear; close; //Given data l= 0.50*10^-2;// width of ribbon in m d= 0.10*10^-3;// thickness of ribbon in m A= l*d;// area of ribbon in m^2 B = 0.8;// in Tesla D = 10.5;//density in gm/cc I = 2;// in amp q = 1.6 * 10^-19;// in C n=6*10^28;// number of elec. per m^3 V_H = ( I * B * d)/(n * q * A);// in volts disp(V_H,"The hall Voltage produced in volts is");
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[1,4,6,4,1] | [1,3,3,1] = initial: [1,4,6,4,1] / [1,3,3,1], rem1=[1,4,6,4,1], div2=[1,3,3,1], lenq=2, len1=5, len2=4 step end: quot=[0,0]/qden=1, rem1=[1,4,6,4,1]/rden=1, div2=[1,3,3,1], bquot=1, lenq=2, len1=5, len2=4 while end: quot=[0,1]/1, rem1=[1,3,3,1]/1 step end: quot=[0,1]/qden=1, rem1=[1,3,3,1]/rden=1, div2=[1,3,3,1], bquot=1, lenq=2, len1=4, len2=4 while end: quot=[1,1]/1, rem1=[0]/1 gcd: [1,4,6,4,1] / [1,3,3,1] -> [1,1] rest [0] gcd: [1,1]
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//Example13.5// a=33.3;//g // of each components (acrylonitrile, butadiene, and sytrene) C=12.01;//amu //atomic mass of carbon //(From Appendix 1) H=1.008;//amu //atomic mass of hydrogen //(From Appendix 1) N=14.01;//amu //atomic mass of Nitrogen //(From Appendix 1) b=3;//Number of atoms A=a/((b*C)+(b*H)+(N)) mprintf("A = %f mol",A) c=4;//Number of atoms d=6;//Number of atoms B=a/((c*C)+(d*H)) mprintf("\nB = %f mol",B) d=8;//Number of atoms S=a/((d*C)+(d*H)) mprintf("\nS = %f mol",S) fA=A/(A+B+S) mprintf("\nfA = %f ",fA) fB=B/(A+B+S) mprintf("\nfB = %f",fB) fS=S/(A+B+S) mprintf("\nfS = %f",fS)
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clear clc //Example 4.8 APPLICATION OF PITOT EQUATION WITH MANOMETER g=32.2; //[ft/s^2] y=7/12; //[ft] //Specific gravities S_kero=0.81; S_Hg=13.55; //Specific weights g_water=62.4; //[lbf/ft^3] g_Hg=S_Hg*g_water //[lbf/ft^3] g_kero=S_kero*g_water //[lbf/ft^3] rho_kero=g_kero/g //density[lbm/ft^3] //Manometer equation, pz1-pz2=y*(gamma_Hg-gamma_kero) //Pitot-static tube equation, V=[2*(pz1-pz2)/rho]^(1/2) V=(2*y*(g_Hg-g_kero)/rho_kero)^(1/2) //[ft/s] printf("\n The kerosene velocity in the pipe = %.1f ft/s.\n",V)
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//clear// //Caption:Finding output powers at output port of 2x2 coupler //Example10.5 //page 350 clear; clc; close; S = sqrt(1/2)*[1,%i;%i,1];//scattering matrix Ein = [1;0]; Eout = S*Ein; Pout1 = Eout(1)*conj(Eout(1)); Pout2 = Eout(2)*conj(Eout(2)); disp(Pout1,'Output power at port 1 Pout1 =') disp(Pout2,'Output power at port 2 Pout2 =') //Result //Output power at port 1 Pout1 = 0.5 //Output power at port 2 Pout2 = 0.5
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//To draw complete displacement, velocity and acceleration diagrams clc //given alpha=55*%pi/180 N=1200//rpm lift=.5//in rn=.125//in ; noseradius rmin=1.125//in ; minimum radius OQ=rmin+lift-rn OP=(OQ^2-1)/(2*(1-OQ*cos(alpha)))//from triangle opq fig 201(a) PQ=OP+rmin-rn phi=asin(OQ*sin(alpha)/PQ) x1=[0:.0001:phi] x2=[phi:.0001:alpha] y1=4.477*(1-cos(x1))//from 9.6 y2=1.5*cos(alpha-x2)-1//from 9.9 v1=%pi*N*4.477*sin(x1)/(30*12)//from 9.7 v2=15.71*sin(alpha-x2)//from 9.10 f1=(%pi*N/30)^2*(4.477/12)*cos(x1)//from 9.8 f2=-1974*cos(alpha-x2)//from 9.11 a=[0:.0001:phi] b=[phi:.0001:alpha] p=[0:.0001:phi] q=[phi:.0001:alpha] subplot(3,1,3) subplot(311) plot(x1,y1,x2,y2) xtitle("","angle","displacement") subplot(312) plot(a,v1,b,v2) xtitle("","angle","velocity") subplot(313) plot(p,f1,q,f2) xtitle("","angle","acceleration")
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clc; clear; sigma_p=1000 //conductivity of p-junction in ohm^-1*m^-1 sigma_n=20 //conductivity of n-junction in ohm^-1*m^-1 myu_p=0.05 //in m^2/V*s myu_n=0.13 //in m^2/V*s K=8.61*10^-5 //Boltzmann constant in eV/K T=300 //in K V=0.4 //forward bias voltage in V e=1.602*10^-19 //in J ni=1.5*10^16 //in m^-3 tau_n=10^-6 //minority carrier lifetime in s tau_p=5*10^-6 //in s Const=0.026 //constant for kT/e in V hole_current=0.603*10^-6 //in A electron_current=0.016*10^-6 //in A //Calculation pp0=sigma_p/(e*myu_p) //majority carrier densities in m^-3 nn0=sigma_n/(e*myu_n) //in m^-3 np0=ni^2/pp0 //minority carrier densities in m^-3 pn0=ni^2/nn0 //in m^-3 Dn=myu_n*K*T //in m^2/s Dp=myu_p*K*T //in m^2/s Ln=sqrt(Dn*tau_n) //in m Lp=sqrt(Dp*tau_p) //in m Js=(((e*np0*Ln)/tau_n)+((e*pn0*Lp)/tau_p)) Ratio=(hole_current)/(electron_current) J=Js*(exp(V/Const)-1) mprintf("1)\nReverse bias stauration current density= %0.3e A/m^2\n",Js) //The answers vary due to round off error mprintf("2)\nRatio of hole to electron current= %2.2f \n",Ratio) mprintf("3)\nTotal current density= %2.2f A/m^2",J) //The answers vary due to round off error
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//Goertzel Algorithm: DTMF Generation and Detection //DTMF Generation clear; clc; close; //DTMF Generation and Detection: Generate two single tones of frequency f1 Hz and f2 Hz for a duration of 40 ms. Use a sampling rate of 8 kHz. Add the two signals. Plot the spectrum of this sum signal. Decode the DTMF signal thus generated. Use Goertzel’s algorithm. // DTMF Generation row_number=input('Row Number'); column_number=input('Column Number'); fr=[697 770 852 941]; fc=[1209 1336 1477 1633]; fs=8000; N=0.04*8000;//40 ms duration f1=fr(row_number); f2=fc(column_number); tm=0:1/fs:(N-1)/fs; x1=cos(2*%pi*f1*tm); x2=cos(2*%pi*f2*tm); x=x1+x2; x_dft=abs(fft(x)); freq_axis=(0:N-1)*fs/N; figure; plot(freq_axis,x_dft); //DTMF Detector fr=[697 770 852 941]; fc=[1209 1336 1477 1633]; // Calculate the bin numbers for these frequencies kr=ceil(fr*N/fs); kc=ceil(fc*N/fs); //To find WN_k (coefficient for first order Goertzel filter) WN_kr=exp(%i*2*%pi*kr/N); WN_kc=exp(%i*2*%pi*kc/N); //Filteing Operation for i=1:length(kr) yk_n(1)=x(1); for n=2:length(x) yk_n(n)=x(n)+WN_kr(i)*(yk_n(n-1)); end geortzel_op_kr(i)=abs(WN_kr(i)*yk_n(N)); end for i=1:length(kc) yk_n(1)=x(1); for n=2:length(x) yk_n(n)=x(n)+WN_kc(i)*(yk_n(n-1)); end geortzel_op_kc(i)=abs(WN_kc(i)*yk_n(N)); end row=find(geortzel_op_kr==max(geortzel_op_kr)); clm=find(geortzel_op_kc==max(geortzel_op_kc)); disp([row clm]);
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#Momentum: B.08.00.182 (*) 331.200 May 5 2008 #Momentum Date and Time: Wed Apr 28 11:00:02 2010 # Cell Info name : .\\substrates\0000 NUMBER OF LAYERS 3, UNITS METRE BOTTOMPLANE OPEN TOPPLANE OPEN LAYERS 0 THICKNESS INFINITY PERMITTIVITY VALUE 1 0 PERMEABILITY VALUE 1 0, 1 THICKNESS 0.00152 PERMITTIVITY VALUE 3 0 PERMEABILITY VALUE 1 0 STRIP, 2 THICKNESS INFINITY PERMITTIVITY VALUE 1 0 PERMEABILITY VALUE 1 0 STRIP; END 0.03774753523 0.01646912459 0, 0.01646912459 0.03774753523 0, 0 0 0;
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//factors of ab-5a-3b+15 clear; clc; close; //by arrangement into suitable pairs, mprintf("(ab-5a)-(3b-15) => a(b-5)-3(b-5)") mprintf("\n the factors are: \n") val=string('(b-5)(a-3)')
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clear; clc; close; disp("Example 4.3") Tt3=800 //in K pt3=2*10^6 // in Pa m=50 //air mass flow rate in kg/s gm=1.4 //gamma cp3=1004 //specific heat at inlet in j/kg.K. Qr=42000 //heating valuein kJ/kg mf=1 //fuel flow rate in kg/s be=0.995 //burner efficiency p=0.96 //p=pt4/pt3 cp4=1156 //specific heat at exit in J/kg.K f=mf/m // fuel-to-air ratio Tt4=(((cp3/cp4)*Tt3)+((f*Qr*be*1000.)/cp4))/(1+f) pt4=p*pt3/10^6 disp(f,"(a)Fuel-to-air ratio :") disp(Tt4,"b(1) combustor exit total temperature in K:") disp(pt4,"b(2)combustor exit total pressure in MPa")
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//(Threaded Joints) Example 7.23 //Refer Fig.7.47 on page 267 //Maximum pressure in the vessel Pmax (MPa) Pmax = 1 //Minimum pressure in the vessel Pmin (MPa) Pmin = 0 //Seating pressure for the gasket PSeat (MPa) PSeat = 5 //Number of bolts N N = 8 //Assume the stiffness of the bolts to be 1N/mm kb kb = 1 //Calculate the stiffness of the parts kc kc = 4 * kb //Factor of safety fs fs = 2 //Ultimate tensile strength of bolt material Sut (N/mm2) Sut = 780 //Yield tensile strength of the bolt material Syt (N/mm2) Syt = 580 //Endurance limit in bending Sdash (N/mm2) Sdash = 260 //Fatigue stress concentration factor Kf Kf = 3 //Inner diameter of the gasket Di (mm) Di = 300 //Outer diameter of the gasket Do (mm) Do = 300 + (2 * 50)
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function r = fijo(ecuacion, g, xk) if ecuacion(xk) then r = xk else r = fijo(ecuacion, g, g(xk)) end endfunction
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clear; //clc(); // Example 13.7 // Page: 362 printf("Example-13.7 Page no.-362\n\n"); //***Data***// T = 298.15;//[K] Temperature F = 96500;//[(coulomb)/(mole*electrons)] faraday constant // The reaction is given as // Al2O3 + 1.5C = 2Al + 1.5CO2 // No of the electron being exchanged are n_e = 6;//[electron] // All the reactants and products enter or leave the reactor as pure species in their standard states, so // delta_g_0 = delta_g_1 and E = E_0 // Free energy of the species in the above equation as reported in the Table A.8 in the book is g_0_CO2 = -394.4*1000;//[J/mol] g_0_Al = 0;//[J/mol] g_0_C = 0;//[J/mol] g_0_Al2O3 = -1582.3*1000;//[J/mol] // Free energy change of the reaction is delta_g_0 = 1.5*g_0_CO2 + 2*g_0_Al - 1.5*g_0_C - g_0_Al2O3;//[J/mol] // So, standard state cell voltage is E_0 = (-delta_g_0)/(n_e*F);//[V] printf("Standard state cell voltage for the production of aluminium is %f Volt",E_0);
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function rozjasnij(img, b) img = uint16(img); [h w] = size(img); LUT = zeros(256,1); X=0:1:255; for i=1:256 if(i+b<0) then LUT(i) = 0; end if (i+b >= 0 & i+b <= 255 ) then LUT(i) = i+b; end if(i+b>255) then LUT(i) = 255; end end for i=1:h for j=1:w out(i,j) = LUT(img(i,j)); end end out = uint8(out); //plot(X,LUT); imshow(out); endfunction function rozjasnij2(img,b) img = uint16(img); img = rgb2gray(img); [h w] = size(img); for i=1:256 if b>0 then LUT(i) = min(255,i+b); //rozjasnianie elseif b<0 then LUT(i) = max(0,i+b); //przyciemnianie else LUT(i) = i+b; //nic nie rob end end for i=1:h for j=1:w out(i,j) = LUT(img(i,j)); end end out = uint8(out); imshow(out); endfunction img = imread('lena.jpg'); rozjasnij2(img,50);
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#MD System 2.0 @Title Untitled_1 @Columns AsymmetricAtom AtomicNumber int 0 Connections string {{}} Fractional double {{0.0 0.0 0.0}} Name string {{}} Site int 1 WyckoffPosition int -1 @end @data 79 {} {0 0 0} Au 1 1 @end @Columns Cell Constraints string {a b c A B G} Origin int {{0 0 0}} Parameters double {{10.0 10.0 10.0 90.0 90.0 90.0}} PrimitiveData double {{{1.0 0.0 0.0} {0.0 1.0 0.0} {0.0 0.0 1.0}}} RotationMatrix double {{{1.0 0.0 0.0} {0.0 1.0 0.0} {0.0 0.0 1.0}}} SpaceGroup string P1 SpaceGroupNumber int 1 ToCartesians double {{{10.0 0.0 0.0} {0.0 10.0 0.0} {0.0 0.0 10.0}}} ToFractionals double {{{0.10000000000000001 0.0 0.0} {0.0 0.10000000000000001 0.0} {0.0 0.0 0.10000000000000001}}} @end @data {a b c A B G} {0 0 0} {4.45780841904 4.45780841904 4.45780841904 90 90 90} {{1 0 0} {0 1 0} {0 0 1}} {{1 0 0} {0 1 0} {0 0 1}} Fm-3m 225 {{4.45780841904 0 0} {8.1736585068e-008 4.45780841904 0} {8.1736585068e-008 8.17365835693e-008 4.45780841904}} {{0.224325477005 0 0} {-4.11314186493e-009 0.224325477005 0} {-4.11314178951e-009 -4.11314178951e-009 0.224325477005}} @end @Columns AsymmetricBond Atom1 reference AsymmetricAtom Atom2 reference AsymmetricAtom Key int 0 Order int 0 @end @data @end @Columns Bond AsymmetricBond reference AsymmetricBond Atom1 reference Atom Atom2 reference Atom CellOffset2 int {{0 0 0}} Key int 0 @end @data @end @Columns Subset Criteria string {{}} Dynamic int 0 Length int 1 Name string {{}} Table string {{}} Type string atom @end @data @end
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// set len of signal mp mp=500 // set time vector n n=(1:1:mp ) ; // set len of filter hmm and hmp nfilter =20 ; // set noise vector R= .2 // variance Gaussian av =0 // mean Gaussian sd =sqrt(R) // std Gaussian v = grand(1,mp,'nor',av,sd) ;// generate white gaussian hmm = zeros(1,nfilter) ; hmp = zeros(1,nfilter) ; // est vector is dest dest=zeros(1, mp); // create input signal x in theta dtheta =2*%pi/mp ; x=dtheta*n ; // create desired vector d as sin(x) d =sin(x) ; figure(0) ; plot (x ,d) ; // set xmm init vector i=1 ; x1=x; // we are using x as d + noise so we store x as x1 // now create input vector x with noise x= d+v ; deltn =.01 // step size // begin computation for i statement for i=1: mp-nfilter ; i ; xmm = x(1:1, i: (nfilter+i -1) ) ; in= i+1 ; // set next input vector //xmp = x(1:1, in: (nfilter+in -1) ) ; // compute thedhat value from xmm ' *hmm // dhat is set to zero vector first dhat = xmm*hmm' ; // update est vector dest(i) = dhat ; // compute last error elast= d(i) - dhat ; elast ; // update hmm vector hmp= hmm + xmm*elast*deltn ; hmm =hmp ; // next step end ; d ; dest ; figure(1); subplot(221) ; title (' true signal '); plot(x1, d); subplot(222) ; title (' signal + noise '); plot(x1, x); subplot(224) title (' filtered signal '); plot(x1, dest); subplot(223) title (' noise '); plot(x1, v);
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// File name: Mux16Way16.tst load Mux16Way16.hdl, output-file Mux16Way16.out, compare-to Mux16Way16.cmp, output-list a%B1.16.1 b%B1.16.1 c%B1.16.1 d%B1.16.1 e%B1.16.1 f%B1.16.1 g%B1.16.1 h%B1.16.1 i%B1.16.1 j%B1.16.1 k%B1.16.1 l%B1.16.1 m%B1.16.1 n%B1.16.1 o%B1.16.1 p%B1.16.1 sel%B2.4.2 out%B1.16.1; set a 0, set b 0, set c 0, set d 0, set e 0, set f 0, set g 0, set h 0, set i 0, set j 0, set k 0, set l 0, set m 0, set n 0, set o 0, set p 0, set sel 0, eval, output; set sel 1, eval, output; set sel 2, eval, output; set sel 3, eval, output; set sel 4, eval, output; set sel 5, eval, output; set sel 6, eval, output; set sel 7, eval, output; set sel 8, eval, output; set sel 9, eval, output; set sel 10, eval, output; set sel 11, eval, output; set sel 12, eval, output; set sel 13, eval, output; set sel 14, eval, output; set sel 15, eval, output; set a %B0001001000110100, set b %B0010001101000101, set c %B0011010001010110, set d %B0100010101100111, set e %B0101011001111000, set f %B0110011110001001, set g %B0111100010011010, set h %B1000100110101011, set i %B1000100110101100, set j %B1000100110101101, set k %B1000100110101110, set l %B1000100110101111, set m %B1000100110110000, set n %B1000100110110001, set o %B1000100110110010, set p %B1000100110110011, set sel 0, eval, output; set sel 1, eval, output; set sel 2, eval, output; set sel 3, eval, output; set sel 4, eval, output; set sel 5, eval, output; set sel 6, eval, output; set sel 7, eval, output; set sel 8, eval, output; set sel 9, eval, output; set sel 10, eval, output; set sel 11, eval, output; set sel 12, eval, output; set sel 13, eval, output; set sel 14, eval, output; set sel 15, eval, output;
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A = [ 0, 0, 1, 0; 0, 0, 0, 1; 10, 0, 1, 0; 0, 10, 0, 1; 20, 0, 1, 0; 0, 20, 0, 1]; K = [100; 200; 110; 200; 100; 210] P = diag ([1,1,1,1,1,1]) tAPA = A'*P*A itAPA = inv (tAPA) tAPK = A' * P * K abpq = itAPA * tAPK a=abpq(1) b=abpq(2) p=abpq(3) q=abpq(4)
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Ex12_11.sce
//Variable Declaration Ps=-91.4 //saturation flux density(dBW/m2) f=14 //uplink frequency(GHz) GTR=-6.7 //G/T (dB/k) BO=11 //Input Back off(dB) k=-228.6 //Value of k(dB) RFL=0.6 //receiver feeder loss //Calculation A0=-21.5-20*log10(f) //Effective antenna aperture(dB) CNR=Ps+A0-BO+GTR-k-RFL //carrier to noise ratio(dB) //Result disp(A0) printf("The carrier to noise ratio is %.1f dB",CNR)
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/1430/CH9/EX9.1/exa9_1.sce
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FOSSEE/Scilab-TBC-Uploads
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refs/heads/master
2020-04-09T02:43:26.499817
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sce
exa9_1.sce
// Example 9.1 // Zero-Input Response of an RL circuit // From figure 9.5 L=60*10^-3; R_eq=40+10;// Equivalent resistance tau=L/R_eq; // Time constant // Let us denote y(0^-) by y_bef and y(0^+) by y_aft i_bef= 25/10; // t<0 , under steady state conditions // form the continuity equation of inductor current we get i_aft=i_bef; v_bef=25; t=0:0.0001:0.01; i=i_aft*%e^(-t/tau); // t>0 v=-40*i; // t>0 subplot(2,1,1) plot(t,i,'r'); xlabel('t') ylabel('i(t)') title('Current Waveform of inductor') subplot(2,1,2) plot(t,v,'-g') xlabel('t') ylabel('v(t)') title('Voltage Waveform across 40-Ohm resistance')
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/2699/CH14/EX14.10/Ex14_10.sce
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FOSSEE/Scilab-TBC-Uploads
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2020-04-09T02:43:26.499817
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Ex14_10.sce
//example 14.10 PG-14.39 clc clear printf("Given=> A''B''C''+A''BC''+A''BC = A''C''(B''+B)+A''BC ......Distributive property") printf("\n\n A''B''C''+A''BC''+A''BC = A''C''+ A''BC .........Since A+A''=1\n\n") printf(" A''B''C''+A''BC''+A''BC = A''(C''+BC) .........Distributive property") printf("\n\n A''B''C''+A''BC''+A''BC = A''(C''+B) .............Since A+A''B=A+B")
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/test/PV5.prev.tst
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PV5.prev.tst
parse: [0,(8*n^2+28*n+24),(-n^2-4*n-3)] matrix:[[0],[24,28,8],[-3,-4,-1]]
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/data/SAMPLE_CAMERACAPTURE/scenario/cameraOutputs.sce
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cameraOutputs.sce
<?xml version="1.0" encoding="UTF-8" standalone="yes" ?> <sce version="20.21.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"> <Scenario> <description></description> <name></name> <online>1</online> <steadystate>0</steadystate> <Environment> <gravity>9.81</gravity> <waterVolumetricMass>1000</waterVolumetricMass> <DayTime> <dawnTime>21600</dawnTime> <day>1</day> <duskTime>72000</duskTime> <month>6</month> <startTime>43200</startTime> <year>2000</year> </DayTime> <Lighting> <dynamicLighting>1</dynamicLighting> <lightMax>1</lightMax> <lightMin>0</lightMin> </Lighting> <Panorama> <file></file> <scale>0.00225</scale> </Panorama> <Weather> <airTemperature>293.15</airTemperature> <atmosphericPressure>101500</atmosphericPressure> <autoComputeFogColor>1</autoComputeFogColor> <autoComputeFogDistance>1</autoComputeFogDistance> <cloudsLevel>0.2</cloudsLevel> <fogColor>0.5 0.5 0.5</fogColor> <fogDistance>20000</fogDistance> <fogEnable>1</fogEnable> <groundTemperature>293.15</groundTemperature> <hygrometry>0.5</hygrometry> <rainLevel>0</rainLevel> <skySaturation>1</skySaturation> <snowLevel>0</snowLevel> <snowOnRoad>0</snowOnRoad> <waterOnRoad>0</waterOnRoad> </Weather> </Environment> <ExternalTraffic> <extTrafficConfigFile></extTrafficConfigFile> <replication>0</replication> </ExternalTraffic> <ExternalTrafficConnexion> <host></host> <port>0</port> </ExternalTrafficConnexion> <Ground> <enableRoughness>0</enableRoughness> <infrastructure></infrastructure> <name>Meung2.rnd</name> <useSpecificSurfaceForTraffic>0</useSpecificSurfaceForTraffic> </Ground> <PredefinedRun> <type>0</type> <TacticalMobility> <backupSampleTime>0.1</backupSampleTime> <brakePedalPressDelay>2</brakePedalPressDelay> <finalDistance>200</finalDistance> <gasPedalPressDelay>1</gasPedalPressDelay> <maxForceOnBrakePedal>400</maxForceOnBrakePedal> <maxPosGasPedal>1</maxPosGasPedal> </TacticalMobility> <StrategicRoadMobility> <finalDistanceStratMob>200000</finalDistanceStratMob> <firstMaxSpeedForSlope>25</firstMaxSpeedForSlope> <firstSlopeCondition>0</firstSlopeCondition> <fourthMaxSpeedForSlope>8.33333333333333</fourthMaxSpeedForSlope> <fourthSlopeCondition>-0.1</fourthSlopeCondition> <maxPosOnBrakePedal>400</maxPosOnBrakePedal> <maxPosOnGasPedal>1</maxPosOnGasPedal> <samplingDistanceStratMob>10</samplingDistanceStratMob> <secondMaxSpeedForSlope>19.4444444444444</secondMaxSpeedForSlope> <secondSlopeCondition>-0.025</secondSlopeCondition> <thirdMaxSpeedForSlope>13.8888888888889</thirdMaxSpeedForSlope> <thirdSlopeCondition>-0.06</thirdSlopeCondition> </StrategicRoadMobility> <OperativeMobility> <finalDistanceOpMob>200</finalDistanceOpMob> <finalTimeOpMob>300</finalTimeOpMob> <firstMaxSpeedCondOpMob>25</firstMaxSpeedCondOpMob> <firstSlopeCondOpMob>0</firstSlopeCondOpMob> <fourthMaxSpeedCondOpMob>8.33333333333333</fourthMaxSpeedCondOpMob> <fourthSlopeCondOpMob>-0.1</fourthSlopeCondOpMob> <isGeneralCriteriaOpMob>1</isGeneralCriteriaOpMob> <isWarningOnlyCriteriaOpMob>1</isWarningOnlyCriteriaOpMob> <maxAccelOpMob>1</maxAccelOpMob> <maxDecelOpMob>4</maxDecelOpMob> <maxLateralOpMob>3</maxLateralOpMob> <secondMaxSpeedCondOpMob>19.4444444444444</secondMaxSpeedCondOpMob> <secondSlopeCondOpMob>-0.025</secondSlopeCondOpMob> <thirdMaxSpeedCondOpMob>13.8888888888889</thirdMaxSpeedCondOpMob> <thirdSlopeCondOpMob>-0.06</thirdSlopeCondOpMob> </OperativeMobility> <PrecomputationLap> <areInterimResultsFilesSaved>1</areInterimResultsFilesSaved> <isNewTrajSavedPrecomputationLap>1</isNewTrajSavedPrecomputationLap> <isResultFromStartLinePrecomputationLap>1</isResultFromStartLinePrecomputationLap> <minimalSpeed>8.33333333333333</minimalSpeed> <nbTurnPoints>20</nbTurnPoints> </PrecomputationLap> <DynamicLap> <brakingPointsPrecision>0.5</brakingPointsPrecision> <isBrakingPointsIteration>0</isBrakingPointsIteration> <isCircuitOpenedDynamicLap>0</isCircuitOpenedDynamicLap> <isRecordUpdatedTrajDynamicLap>1</isRecordUpdatedTrajDynamicLap> <isResultFromStartLineDynamicLap>1</isResultFromStartLineDynamicLap> <maxSideslipAngle>0.785398163397448</maxSideslipAngle> <maxTrajectoryError>2</maxTrajectoryError> <minSpeed>2.77777777777778</minSpeed> <timePrecision>0.01</timePrecision> </DynamicLap> </PredefinedRun> <ProgressDlg> <fullScreen>0</fullScreen> <playSound>0</playSound> <refreshRate>10</refreshRate> <showGraphs>0</showGraphs> <showView>0</showView> <ResultsGraph> <abcissa>131072</abcissa> <abcissaUnit>s</abcissaUnit> <tabName>Graph</tabName> <title>Graph</title> </ResultsGraph> </ProgressDlg> <Recording> <mode>AUTO</mode> <recordPath></recordPath> <ModelHandlerRecorder> <enable>0</enable> <enableTrafficRecording>0</enableTrafficRecording> <isOneEvery>0</isOneEvery> <oneEvery>1</oneEvery> <samplePeriod>0.1</samplePeriod> <zipResultFile>0</zipResultFile> </ModelHandlerRecorder> <ScanerNetRecorder/> </Recording> <ScenarioStopCriteria> <finalTime>10</finalTime> <stopAtFinalTime>1</stopAtFinalTime> </ScenarioStopCriteria> <UserDataList/> <Visual> <Others> <loadCache>0</loadCache> <optimize>1</optimize> <refreshRate>60</refreshRate> <viewMode></viewMode> </Others> <Quality> <anisotropicFiltering>8</anisotropicFiltering> <antiAliasing>8</antiAliasing> <fadeLOD>0</fadeLOD> </Quality> <RoadMarks> <mode></mode> <nodeName></nodeName> <Interval> <max>0</max> <min>0</min> </Interval> </RoadMarks> <Sfx> <dazzleHalo>1</dazzleHalo> <fog>1</fog> <fogHalo>1</fogHalo> <sky>1</sky> </Sfx> <Viewing> <farPlane>5000</farPlane> <nearPlane>1</nearPlane> <terrainLODScale>1</terrainLODScale> <vehicleLODScale>1</vehicleLODScale> </Viewing> </Visual> <Vehicle> <cabin></cabin> <decorationName></decorationName> <driveInReverse>0</driveInReverse> <driverId>0</driverId> <id>0</id> <initEngineRunning>1</initEngineRunning> <initialDistOnTrajectory>0</initialDistOnTrajectory> <initialSpeed>0</initialSpeed> <modelColor>0 0 0</modelColor> <modelName>BMW_S3_Black_Sapphire</modelName> <motionId>-1</motionId> <name>BMW_S3_Black_Sapphire</name> <process>TRAFFIC</process> <recomputeRestitutionMovement>1</recomputeRestitutionMovement> <state>1</state> <trailerId>-1</trailerId> <Equipments> <sensorConfigurationName>bmw</sensorConfigurationName> <SensorOutputProcs> <sensorUniqueId>100000</sensorUniqueId> <OutputProc> <outputName>sensorPointAnchor</outputName> <processName>Automatic</processName> </OutputProc> <OutputProc> <outputName>sensorTargetBBox</outputName> <processName>Automatic</processName> </OutputProc> <OutputProc> <outputName>cameraImage</outputName> <processName>CAMERASENSOR</processName> </OutputProc> </SensorOutputProcs> </Equipments> <ItineraryRoadXml> <endBehaviour>0</endBehaviour> </ItineraryRoadXml> <Model> <Simple/> </Model> <ObjectPosition> <heading>0.611333310604095</heading> <position>189.981314542428 3712.60560514136 10.0284339153176</position> <RoadPosition> <abscissa>3378.28681548072</abscissa> <gapInItnSystem>1.74999999999983</gapInItnSystem> <relativeHeading>0</relativeHeading> <subNetwork>Sub Network</subNetwork> <track>Branche automatique 33</track> <zOffset>0</zOffset> </RoadPosition> </ObjectPosition> <StopCriteria> <finalDistance>100000</finalDistance> <finalTime>3600</finalTime> <maxSideslipAngle>0.261799387799149</maxSideslipAngle> <maxSideslipAngleSpeed>0.349065850398866</maxSideslipAngleSpeed> <maxSpeed>111.111111111111</maxSpeed> <maxTrajectoryError>3</maxTrajectoryError> <minSpeed>0.277777777777778</minSpeed> <stopCanonContact>0</stopCanonContact> <stopConeCollision>0</stopConeCollision> <stopFinalDistance>0</stopFinalDistance> <stopFinalTime>0</stopFinalTime> <stopLateralAccelerationPeek>0</stopLateralAccelerationPeek> <stopMaxSpeed>0</stopMaxSpeed> <stopMinSpeed>0</stopMinSpeed> <stopSideslipAngle>0</stopSideslipAngle> <stopSideslipAngleSpeed>0</stopSideslipAngleSpeed> <stopSpin>0</stopSpin> <stopStableMovement>0</stopStableMovement> <stopStall>0</stopStall> <stopStallDuration>1</stopStallDuration> <stopStandstill>0</stopStandstill> <stopTrajectoryError>0</stopTrajectoryError> <stopWheelLift>0</stopWheelLift> </StopCriteria> <Swarm> <appearBackRadius>250</appearBackRadius> <appearFrontRadius>500</appearFrontRadius> <density>1</density> <disappearBackRadius>500</disappearBackRadius> <disappearFrontRadius>1000</disappearFrontRadius> <frontAppearFactor>0.75</frontAppearFactor> <queen>-1</queen> <queenDirectionFactor>0.3</queenDirectionFactor> </Swarm> </Vehicle> <Driver> <driverName>Driver 0</driverName> <driverType>TrafficDriver</driverType> <id>0</id> <process>TRAFFIC</process> <TrafficDriver> <accelCurveObserving>1</accelCurveObserving> <accelEmergencyPedestrianObserving>1</accelEmergencyPedestrianObserving> <accelEmergencyVehicleObserving>1</accelEmergencyVehicleObserving> <accelFollowObserving>1</accelFollowObserving> <accelRegulationObserving>1</accelRegulationObserving> <autonomousToDriverTransitionTime>1</autonomousToDriverTransitionTime> <brakePedalThreashold>1</brakePedalThreashold> <disconectSteeringWhenAutonomous>1</disconectSteeringWhenAutonomous> <driverToAutonomousTransitionTime>5</driverToAutonomousTransitionTime> <gasPedalThreashold>0.01</gasPedalThreashold> <ignoreDriverPeriod>4</ignoreDriverPeriod> <laneGapMean>0</laneGapMean> <laneGapPeriodMean>0</laneGapPeriodMean> <laneGapPeriodStdDev>0</laneGapPeriodStdDev> <laneGapStdDev>0.2</laneGapStdDev> <manualOverrideModule></manualOverrideModule> <maxSpeed>38.8888888888889</maxSpeed> <norm>NormalDriver</norm> <overtakeRisk>0.5</overtakeRisk> <priorityObserving>1</priorityObserving> <safetyTime>2.5</safetyTime> <signObserving>1</signObserving> <speedLimitRisk>1.1</speedLimitRisk> <stayOnLane>0</stayOnLane> <steeringTorqueThreashold>5</steeringTorqueThreashold> <strategyFile>default</strategyFile> </TrafficDriver> <AirplaneDriver> <Trajectory> <isClosed>0</isClosed> <isWithObstacles>0</isWithObstacles> <notes></notes> <type>0</type> <CurvatureTrajectory> <initialHeading>0</initialHeading> <initialPosition>0 0</initialPosition> </CurvatureTrajectory> <XYTrajectory> <interpolationType>0</interpolationType> </XYTrajectory> </Trajectory> </AirplaneDriver> </Driver> <Vehicle> <cabin></cabin> <decorationName></decorationName> <driveInReverse>0</driveInReverse> <driverId>1</driverId> <id>1</id> <initEngineRunning>1</initEngineRunning> <initialDistOnTrajectory>0</initialDistOnTrajectory> <initialSpeed>0</initialSpeed> <modelColor>0 0 0</modelColor> <modelName>Kid_Boy_Winter_01</modelName> <motionId>-1</motionId> <name>Kid_Boy_Winter_01</name> <process>WALKERTRAFFIC</process> <recomputeRestitutionMovement>1</recomputeRestitutionMovement> <state>1</state> <trailerId>-1</trailerId> <Equipments> <sensorConfigurationName></sensorConfigurationName> </Equipments> <ItineraryRoadXml> <endBehaviour>0</endBehaviour> </ItineraryRoadXml> <Model/> <ObjectPosition> <heading>0.611333310604095</heading> <position>221.963173850039 3730.71111393568 10.1296038259267</position> <RoadPosition> <abscissa>3414.8680657802</abscissa> <gapInItnSystem>5.28000000000007</gapInItnSystem> <relativeHeading>0</relativeHeading> <subNetwork>Sub Network</subNetwork> <track>Branche automatique 33</track> <zOffset>0</zOffset> </RoadPosition> </ObjectPosition> <StopCriteria> <finalDistance>100000</finalDistance> <finalTime>3600</finalTime> <maxSideslipAngle>0.261799387799149</maxSideslipAngle> <maxSideslipAngleSpeed>0.349065850398866</maxSideslipAngleSpeed> <maxSpeed>111.111111111111</maxSpeed> <maxTrajectoryError>3</maxTrajectoryError> <minSpeed>0.277777777777778</minSpeed> <stopCanonContact>0</stopCanonContact> <stopConeCollision>0</stopConeCollision> <stopFinalDistance>0</stopFinalDistance> <stopFinalTime>0</stopFinalTime> <stopLateralAccelerationPeek>0</stopLateralAccelerationPeek> <stopMaxSpeed>0</stopMaxSpeed> <stopMinSpeed>0</stopMinSpeed> <stopSideslipAngle>0</stopSideslipAngle> <stopSideslipAngleSpeed>0</stopSideslipAngleSpeed> <stopSpin>0</stopSpin> <stopStableMovement>0</stopStableMovement> <stopStall>0</stopStall> <stopStallDuration>1</stopStallDuration> <stopStandstill>0</stopStandstill> <stopTrajectoryError>0</stopTrajectoryError> <stopWheelLift>0</stopWheelLift> </StopCriteria> <Swarm> <appearBackRadius>250</appearBackRadius> <appearFrontRadius>500</appearFrontRadius> <density>1</density> <disappearBackRadius>500</disappearBackRadius> <disappearFrontRadius>1000</disappearFrontRadius> <frontAppearFactor>0.75</frontAppearFactor> <queen>-1</queen> <queenDirectionFactor>0.3</queenDirectionFactor> </Swarm> </Vehicle> <Driver> <driverName>Driver 1</driverName> <driverType>TrafficDriver</driverType> <id>1</id> <process>WALKERTRAFFIC</process> <TrafficDriver> <accelCurveObserving>1</accelCurveObserving> <accelEmergencyPedestrianObserving>1</accelEmergencyPedestrianObserving> <accelEmergencyVehicleObserving>1</accelEmergencyVehicleObserving> <accelFollowObserving>1</accelFollowObserving> <accelRegulationObserving>1</accelRegulationObserving> <autonomousToDriverTransitionTime>1</autonomousToDriverTransitionTime> <brakePedalThreashold>1</brakePedalThreashold> <disconectSteeringWhenAutonomous>1</disconectSteeringWhenAutonomous> <driverToAutonomousTransitionTime>5</driverToAutonomousTransitionTime> <gasPedalThreashold>0.01</gasPedalThreashold> <ignoreDriverPeriod>4</ignoreDriverPeriod> <laneGapMean>0</laneGapMean> <laneGapPeriodMean>0</laneGapPeriodMean> <laneGapPeriodStdDev>0</laneGapPeriodStdDev> <laneGapStdDev>0.2</laneGapStdDev> <manualOverrideModule></manualOverrideModule> <maxSpeed>0.988888888888889</maxSpeed> <norm>NormalDriver_Pedestrian</norm> <overtakeRisk>-0.11</overtakeRisk> <priorityObserving>1</priorityObserving> <safetyTime>0.78</safetyTime> <signObserving>1</signObserving> <speedLimitRisk>0.98</speedLimitRisk> <stayOnLane>0</stayOnLane> <steeringTorqueThreashold>5</steeringTorqueThreashold> <strategyFile>default</strategyFile> </TrafficDriver> <AirplaneDriver> <Trajectory> <isClosed>0</isClosed> <isWithObstacles>0</isWithObstacles> <notes></notes> <type>0</type> <CurvatureTrajectory> <initialHeading>0</initialHeading> <initialPosition>0 0</initialPosition> </CurvatureTrajectory> <XYTrajectory> <interpolationType>0</interpolationType> </XYTrajectory> </Trajectory> </AirplaneDriver> </Driver> <Vehicle> <cabin></cabin> <decorationName></decorationName> <driveInReverse>0</driveInReverse> <driverId>2</driverId> <id>2</id> <initEngineRunning>1</initEngineRunning> <initialDistOnTrajectory>0</initialDistOnTrajectory> <initialSpeed>0</initialSpeed> <modelColor>0 0 0</modelColor> <modelName>BMW_S3_Melbourne_Red</modelName> <motionId>-1</motionId> <name>BMW_S3_Melbourne_Red</name> <process>TRAFFIC</process> <recomputeRestitutionMovement>1</recomputeRestitutionMovement> <state>1</state> <trailerId>-1</trailerId> <Equipments> <sensorConfigurationName></sensorConfigurationName> </Equipments> <ItineraryRoadXml> <endBehaviour>0</endBehaviour> </ItineraryRoadXml> <Model> <Simple/> </Model> <ObjectPosition> <heading>3.75292587280273</heading> <position>218.51483774349 3736.87901675867 10.0043375018232</position> <RoadPosition> <abscissa>3415.58440867129</abscissa> <gapInItnSystem>-1.74999999999982</gapInItnSystem> <relativeHeading>3.14159250259399</relativeHeading> <subNetwork>Sub Network</subNetwork> <track>Branche automatique 33</track> <zOffset>0</zOffset> </RoadPosition> </ObjectPosition> <StopCriteria> <finalDistance>100000</finalDistance> <finalTime>3600</finalTime> <maxSideslipAngle>0.261799387799149</maxSideslipAngle> <maxSideslipAngleSpeed>0.349065850398866</maxSideslipAngleSpeed> <maxSpeed>111.111111111111</maxSpeed> <maxTrajectoryError>3</maxTrajectoryError> <minSpeed>0.277777777777778</minSpeed> <stopCanonContact>0</stopCanonContact> <stopConeCollision>0</stopConeCollision> <stopFinalDistance>0</stopFinalDistance> <stopFinalTime>0</stopFinalTime> <stopLateralAccelerationPeek>0</stopLateralAccelerationPeek> <stopMaxSpeed>0</stopMaxSpeed> <stopMinSpeed>0</stopMinSpeed> <stopSideslipAngle>0</stopSideslipAngle> <stopSideslipAngleSpeed>0</stopSideslipAngleSpeed> <stopSpin>0</stopSpin> <stopStableMovement>0</stopStableMovement> <stopStall>0</stopStall> <stopStallDuration>1</stopStallDuration> <stopStandstill>0</stopStandstill> <stopTrajectoryError>0</stopTrajectoryError> <stopWheelLift>0</stopWheelLift> </StopCriteria> <Swarm> <appearBackRadius>250</appearBackRadius> <appearFrontRadius>500</appearFrontRadius> <density>1</density> <disappearBackRadius>500</disappearBackRadius> <disappearFrontRadius>1000</disappearFrontRadius> <frontAppearFactor>0.75</frontAppearFactor> <queen>-1</queen> <queenDirectionFactor>0.3</queenDirectionFactor> </Swarm> </Vehicle> <Driver> <driverName>Driver 2</driverName> <driverType>TrafficDriver</driverType> <id>2</id> <process>TRAFFIC</process> <TrafficDriver> <accelCurveObserving>1</accelCurveObserving> <accelEmergencyPedestrianObserving>1</accelEmergencyPedestrianObserving> <accelEmergencyVehicleObserving>1</accelEmergencyVehicleObserving> <accelFollowObserving>1</accelFollowObserving> <accelRegulationObserving>1</accelRegulationObserving> <autonomousToDriverTransitionTime>1</autonomousToDriverTransitionTime> <brakePedalThreashold>1</brakePedalThreashold> <disconectSteeringWhenAutonomous>1</disconectSteeringWhenAutonomous> <driverToAutonomousTransitionTime>5</driverToAutonomousTransitionTime> <gasPedalThreashold>0.01</gasPedalThreashold> <ignoreDriverPeriod>4</ignoreDriverPeriod> <laneGapMean>0</laneGapMean> <laneGapPeriodMean>0</laneGapPeriodMean> <laneGapPeriodStdDev>0</laneGapPeriodStdDev> <laneGapStdDev>0.2</laneGapStdDev> <manualOverrideModule></manualOverrideModule> <maxSpeed>33.2527777777778</maxSpeed> <norm>NormalDriver</norm> <overtakeRisk>-0.13</overtakeRisk> <priorityObserving>1</priorityObserving> <safetyTime>1.54</safetyTime> <signObserving>1</signObserving> <speedLimitRisk>0.97</speedLimitRisk> <stayOnLane>0</stayOnLane> <steeringTorqueThreashold>5</steeringTorqueThreashold> <strategyFile>default</strategyFile> </TrafficDriver> <AirplaneDriver> <Trajectory> <isClosed>0</isClosed> <isWithObstacles>0</isWithObstacles> <notes></notes> <type>0</type> <CurvatureTrajectory> <initialHeading>0</initialHeading> <initialPosition>0 0</initialPosition> </CurvatureTrajectory> <XYTrajectory> <interpolationType>0</interpolationType> </XYTrajectory> </Trajectory> </AirplaneDriver> </Driver> <ScenarioScript> <isScriptActive>1</isScriptActive> <script> TYPEOF SCENARIO (0) { IS_EXPANDED="1" LABEL="Main" FILE="cameraOutputs_Main" TASK_KIND="0" TYPEOF RULE (1) { IS_EXPANDED="1" LABEL="Rule: Move pedestrian out of beam after 5s" TYPEOF CONDITION (SUPEQUAL) { IS_EXPANDED="1" MODIFIER="BECOMES_TRUE" TYPEOF PARAMETER (OPERAND_1) { KIND="FUNCTION" TYPEOF FUNCTION (GET_SCENARIO_CLOCK) { } OWNER_FILE="" } TYPEOF PARAMETER (OPERAND_2) { KIND="USER" VALUE="2" OWNER_FILE="" } } TYPEOF ACTION (SET_VHL_POSITION) { IS_EXPANDED="1" TYPEOF PARAMETER (VHL_NUMBER) { KIND="VEHICLE" VALUE="1" OWNER_FILE="" } TYPEOF PARAMETER (MAP_XPOSITION) { KIND="USER" VALUE="190.954" OWNER_FILE="" } TYPEOF PARAMETER (MAP_YPOSITION) { KIND="USER" VALUE="3708.98" OWNER_FILE="" } TYPEOF PARAMETER (HEADING) { KIND="USER" VALUE="0" OWNER_FILE="" } } } TYPEOF RULE (2) { IS_EXPANDED="1" LABEL="Rule: Move car out of beam after 10s" TYPEOF CONDITION (SUPEQUAL) { IS_EXPANDED="1" MODIFIER="BECOMES_TRUE" TYPEOF PARAMETER (OPERAND_1) { KIND="FUNCTION" TYPEOF FUNCTION (GET_SCENARIO_CLOCK) { } OWNER_FILE="" } TYPEOF PARAMETER (OPERAND_2) { KIND="USER" VALUE="5" OWNER_FILE="" } } TYPEOF ACTION (SET_VHL_POSITION) { IS_EXPANDED="1" TYPEOF PARAMETER (VHL_NUMBER) { KIND="VEHICLE" VALUE="2" OWNER_FILE="" } TYPEOF PARAMETER (MAP_XPOSITION) { KIND="USER" VALUE="186.295" OWNER_FILE="" } TYPEOF PARAMETER (MAP_YPOSITION) { KIND="USER" VALUE="3714.54" OWNER_FILE="" } TYPEOF PARAMETER (HEADING) { KIND="USER" VALUE="0" OWNER_FILE="" } } } TYPEOF RULE (0) { IS_EXPANDED="1" LABEL="Rule: Move car in beam after 15s" TYPEOF CONDITION (SUPEQUAL) { IS_EXPANDED="1" MODIFIER="BECOMES_TRUE" TYPEOF PARAMETER (OPERAND_1) { KIND="FUNCTION" TYPEOF FUNCTION (GET_SCENARIO_CLOCK) { } OWNER_FILE="" } TYPEOF PARAMETER (OPERAND_2) { KIND="USER" VALUE="8" OWNER_FILE="" } } TYPEOF ACTION (SET_VHL_POSITION) { IS_EXPANDED="1" TYPEOF PARAMETER (VHL_NUMBER) { KIND="VEHICLE" VALUE="2" OWNER_FILE="" } TYPEOF PARAMETER (MAP_XPOSITION) { KIND="USER" VALUE="294.059" OWNER_FILE="" } TYPEOF PARAMETER (MAP_YPOSITION) { KIND="USER" VALUE="3785.22" OWNER_FILE="" } TYPEOF PARAMETER (HEADING) { KIND="USER" VALUE="0" OWNER_FILE="" } } } } </script> <scriptLanguage>mice</scriptLanguage> <scriptName>Main</scriptName> </ScenarioScript> </Scenario> </sce>
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// Chapter6 // Page.No-230, Figure.No-6.23 // Example_6_15 // Output voltage of an integrator // Given clear;clc; Vin=2; // Input voltage in volt Vo0=0; Vo1=-integrate('2','t',0,1); disp(Vo1) Vo2=-integrate('2','t',1,2)+Vo1; disp(Vo2) Vo3=-integrate('2','t',2,3)+Vo2; disp(Vo3) Vo4=-integrate('2','t',3,4)+Vo3; disp(Vo4) Vo=[Vo0 Vo1 Vo2 Vo3 Vo4]; t=[0 1 2 3 4]; plot(t,Vo); title('Output Voltage'); xlabel('t'); ylabel('Vo');
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clc // Given that T = 373 // temperature in kelvin d = 1.293e-3 // density of air at S.T.P. in gm/cm^3 d_ = 13.6 // density of mercury in gm/cm^3 s = 0.2417 // specific heat of air at constant pressure s_ = 0.1715 // specific heat of air at constant volume g = 980 // gravitational constant i dynes/cm^3 // Sample Problem 2 on page no. 8.18 printf("\n # PROBLEM 2 # \n") printf(" Standard formula used \n") printf(" nu = (gamma*p/rho)^1/2 \n gamma = C_p/C_v \n p =rho*g*h \n" ) p = 76 * d_ * g gama = s / s_ v = sqrt(gama * (p / d)) v_ = v * sqrt(T / 273) printf("\n Velocity of sound in the air in %f cm/sec.",v_)
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** File Info Version Id = 65536 Num Trans = 0 Num Writers = 0 Init Tranlog = 0 Total Entries = 14 Tranlog Offset = 0 Transaction Id = 17 Index Free List = 13 Total Size of Data = 428 Data Transformation Id = 16 Index Transformation Id = 58 ** Freelist Info First freelist entry = 12 Iterating over freelist...(OK) Last freelist entry = 13 Total freelist entries = 2
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m = 47; q_m = 4; r_m = 7; B_l = 2 + 0.6*q_m + 1.5*r_m; B_h = B_l + 3; transition_width = 1; f_s = 90; un_ws1 = B_l; un_ws2 = B_h; un_wp1 = un_ws1 - transition_width; un_wp2 = un_ws2 + transition_width; w_p1 = 2*%pi*un_wp1/f_s; w_p2 = 2*%pi*un_wp2/f_s; w_s1 = 2*%pi*un_ws1/f_s; w_s2 = 2*%pi*un_ws2/f_s; //analog filter specifications W_p1 = tan(w_p1/2); W_p2 = tan(w_p2/2); W_s1 = tan(w_s1/2); W_s2 = tan(w_s2/2); W_o = sqrt(W_p1*W_p2); B = W_p2 - W_p1 //low pass Wl_p1 = -1; Wl_p2 = 1; Wl_s1 = (B*W_s1)/(-1*W_s1^2 + W_o^2); Wl_s2 = (B*W_s2)/(-1*W_s2^2 + W_o^2); Wl_s = min(abs(Wl_s1),abs(Wl_s2)); Wl_p = 1; //chebyschev delta = 0.1 D1 = (1/((1-delta)^2)) - 1; D2 = (1/delta^2) - 1; //N>= Ns Ns = (acosh(sqrt(D2/D1)))/(acosh((Wl_s/Wl_p))); epsilon = sqrt(D1); N = ceil(Ns); // hanalog(s) k_o = 1/sqrt(1+ epsilon^2); B_k = (asinh(1/epsilon))/N; // we get N = 4 // finding poles k = linspace(N,(2*N-1),N); A_k = ((2.*k +1)*%pi)/(2*N); S_7_k = Wl_p*(sin(A_k).*sinh(B_k)+ complex(0,1).*cos(A_k).*cosh(B_k)); // defining the polynominal s= poly(0,'s'); a = k_o*((-1)^N)*(real(prod(S_7_k))); b = real(poly(S_7_k,'s')); HanalogLPF = syslin('c', a/b); // converting back to analog bandpass HanalogBPF = syslin('c',horner(HanalogLPF,((B*s)/(s^2+ W_o^2)))); // converting to digital domain z= poly(0, 'z'); p = (z-1)/(z+1); q = (B*p)/(p^2+ W_o^2); Hdiscrete = syslin('c',horner(HanalogLPF,q)); k = linspace(0,1023,1024); k1 = linspace(0,1,2); w = (%pi*k)/1024; y1 = horner(Hdiscrete,complex(cos(w),sin(w))); y2 = 1*ones(1024,1); y3 = 0.9*ones(1024,1); y4 = 0.1*ones(1024,1); y_wp1 = w_p1*ones(2,1); y_wp2 = w_p2*ones(2,1); y_ws1 = w_s1*ones(2,1); y_ws2 = w_s2*ones(2,1); plot(w,abs(y1),'g'); plot(w,y2); plot(w,y3); plot(w,y4); plot(y_wp1,k1); plot(y_wp2,k1); plot(y_ws1,k1); plot(y_ws2,k1);
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//Chapter 5 //Example 5_5 //PAge 92 clear;clc; md=50; u=18*1e7; ad=75; fc=9000000; fcg=2800000; fctnd=3200000; l=0.15; rc=0.9; printf("Annual fixed charges\n"); fuel=(1-rc)*fc; tac=fcg+fctnd+fuel; printf("Total annual charges = Rs. %.0f \n", tac); cmd=tac/ad/1000; printf("Cost per kW of maximum demand = Rs. %.0f \n\n", cmd); printf("Annual running charges\n"); cf=rc*fc; udc=(1-l)*u; c=cf/udc; printf("Cost of fuel = Rs. %.0f \n", cf); printf("Units deliivered to consumers = %.0f kWh \n", udc); printf("Cost per kWh = Rs. %.3f \n\n", c); printf("Tariff is Rs. %.0f of maximum demand plus %.3f rupess per kWh \n\n", cmd, c);
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clear clc disp("Example 5: Display all the current working processes in the current session") printf("\n*******************************************************************\n") disp('Answer : ') disp('') halt('Press Enter to display the processes') if (getos()=='Windows') then clc(1) powershell('ps') else clc(1) unix_w('ps') end printf("\n*******************************************************************\n")
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//Exa 4.16.4 clc; clear; close; // Given data // Part (i) T1= 25;// in °C T2= 80;// in °C // Formula Io2= Io1*2^((T2-T1)/10) AntiFactor= 2^((T2-T1)/10); disp(round(AntiFactor),"Anticipated factor for Ge is : ") // Part (ii) T1= 25;// in °C T2= 150;// in °C AntiFactor= 2^((T2-T1)/10); disp(round(AntiFactor),"Anticipated factor for Si is : ")
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// Fri Oct 30 14:40:47 MET 1998 //==================================================== // ../man/arma/arma.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/arma/armac.man //==================================================== clear;lines(0); a=[1,-2.851,2.717,-0.865].*.eye(2,2) b=[0,1,1,1].*.[1;1]; d=[1,0.7,0.2].*.eye(2,2); sig=eye(2,2); ar=armac(a,b,d,2,1,sig) for k=winsid(),xdel(k);end //==================================================== // ../man/arma/armax.man //==================================================== clear;lines(0); [arc,a,b,sig,resid]=armax(); // will gives an example in dimension 1 for k=winsid(),xdel(k);end //==================================================== // ../man/arma/armax1.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/arma/arsimul.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/arma/narsimul.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/arma/noisegen.man //==================================================== clear;lines(0); noisegen(0.5,30,1.0); x=-5:0.01:35; y=feval(x,Noise); plot(x,y); for k=winsid(),xdel(k);end //==================================================== // ../man/arma/odedi.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/arma/prbs_a.man //==================================================== clear;lines(0); u=prbs_a(50,10); plot2d2("onn",(1:50)',u',1,"151",' ',[0,-1.5,50,1.5]); for k=winsid(),xdel(k);end //==================================================== // ../man/arma/reglin.man //==================================================== clear;lines(0); // simulation of data for a(3,5) and b(3,1) x=rand(5,100); aa=testmatrix('magi',5);aa=aa(1:3,:); bb=[9;10;11] y=aa*x +bb*ones(1,100)+ 0.1*rand(3,100); // identification [a,b,sig]=reglin(x,y); maxi(abs(aa-a)) maxi(abs(bb-b)) // an other example : fitting a polynom f=1:100; x=[f.*f; f]; y= [ 2,3]*x+ 10*ones(f) + 0.1*rand(f); [a,b]=reglin(x,y) for k=winsid(),xdel(k);end //==================================================== // ../man/comm/Communications.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/comm/CreateLink.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/comm/DestroyLink.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/comm/ExecAppli.man //==================================================== clear;lines(0); h=unix_g("hostname") ExecAppli(SCI+"/bin/scilex",h,"Scilab2") CreateLink("SELF","Scilab2") ExecAppli(SCI+"/bin/scilex -ns",h,"Scilab3") for k=winsid(),xdel(k);end //==================================================== // ../man/comm/ExecScilab.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/comm/ExeclScilab.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/comm/GetMsg.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/comm/SendMsg.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/comm/WaitMsg.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/control/abcd.man //==================================================== clear;lines(0); A=diag([1,2,3]);B=[1;1;1];C=[2,2,2]; sys=syslin('c',A,B,C); sys("A") sys("C") [A1,B1,C1,D1]=abcd(sys); A1 systf=ss2tf(sys); [a,b,c,d]=abcd(systf) spec(a) c*b-C*B c*a*b-C*A*B for k=winsid(),xdel(k);end //==================================================== // ../man/control/abinv.man //==================================================== clear;lines(0); nu=3;ny=4;nx=7; nrt=2;ngt=3;ng0=3;nvt=5;rk=2; flag=list('on',nrt,ngt,ng0,nvt,rk); Sl=ssrand(ny,nu,nx,flag);alfa=-1;beta=-2; [X,dims,F,U,k,Z]=abinv(Sl,alfa,beta); [A,B,C,D]=abcd(Sl);dimV=dims(3);dimR=dims(1); V=X(:,1:dimV);X2=X(:,dimV+1:nx); X2'*(A+B*F)*V (C+D*F)*V X0=X(:,dimR+1:dimV); spec(X0'*(A+B*F)*X0) trzeros(Sl) spec(A+B*F) //nr=2 evals at -1 and noc-dimV=2 evals at -2. clean(ss2tf(Sl*Z)) A=diag(1:6);A(2,2)=-7;A(5,5)=-9;B=[1,2;0,3;0,4;0,5;0,0;0,0];C=[zeros(3,3),eye(3,3)]; sl=syslin('c',A,B,C);sl=ss2ss(sl,rand(6,6)); [X,dims,F,U,k,Z]=abinv(sl,alfa,beta); [A,B,C,D]=abcd(sl);clean(X'*(A+B*F)*X) clean(X'*B*U) for k=winsid(),xdel(k);end //==================================================== // ../man/control/arhnk.man //==================================================== clear;lines(0); A=diag([-1,-2,-3,-4,-5]);B=rand(5,1);C=rand(1,5); sl=syslin('c',A,B,C); slapprox=arhnk(sl,2); [nk,W]=hankelsv(sl);nk [nkred,Wred]=hankelsv(slapprox);nkred for k=winsid(),xdel(k);end //==================================================== // ../man/control/arl2.man //==================================================== clear;lines(0); v=ones(1,20); xbasc(); plot2d1('enn',0,[v';zeros(80,1)],2,'051',' ',[1,-0.5,100,1.5]) [d,n,e]=arl2(v,poly(1,'z','c'),1) plot2d1('enn',0,ldiv(n,d,100),2,'000') [d,n,e]=arl2(v,d,3) plot2d1('enn',0,ldiv(n,d,100),3,'000') [d,n,e]=arl2(v,d,8) plot2d1('enn',0,ldiv(n,d,100),5,'000') [d,n,e]=arl2(v,poly(1,'z','c'),4,'all') plot2d1('enn',0,ldiv(n(1),d(1),100),10,'000') for k=winsid(),xdel(k);end //==================================================== // ../man/control/balreal.man //==================================================== clear;lines(0); A=diag([-1,-2,-3,-4,-5]);B=rand(5,2);C=rand(1,5); sl=syslin('c',A,B,C); [slb,U]=balreal(sl); Wc=clean(ctr_gram(slb)) W0=clean(obs_gram(slb)) for k=winsid(),xdel(k);end //==================================================== // ../man/control/bilin.man //==================================================== clear;lines(0); s=poly(0,'s');z=poly(0,'z'); w=ssrand(1,1,3); wtf=ss2tf(w);v=[2,3,-1,4];a=v(1);b=v(2);c=v(3);d=v(4); [horner(wtf,(a*z+b)/(c*z+d)),ss2tf(bilin(w,[a,b,c,d]))] clean(ss2tf(bilin(bilin(w,[a,b,c,d]),[d,-b,-c,a]))-wtf) for k=winsid(),xdel(k);end //==================================================== // ../man/control/cainv.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/control/calfrq.man //==================================================== clear;lines(0); s=poly(0,'s') h=syslin('c',(s^2+2*0.9*10*s+100)/(s^2+2*0.3*10.1*s+102.01)) h1=h*syslin('c',(s^2+2*0.1*15.1*s+228.01)/(s^2+2*0.9*15*s+225)) [f1,spl]=calfrq(h1,0.01,1000); rf=repfreq(h1,f1); plot2d(real(rf)',imag(rf)') for k=winsid(),xdel(k);end //==================================================== // ../man/control/canon.man //==================================================== clear;lines(0); A=[1,2,3,4,5; 1,0,0,0,0; 0,1,0,0,0; 6,7,8,9,0; 0,0,0,1,0]; B=[1,2; 0,0; 0,0; 2,1; 0,0]; X=rand(5,5);A=X*A*inv(X);B=X*B; //Controllable pair [Ac,Bc,U,ind]=canon(A,B); //Two indices --> ind=[3.2]; index=1;for k=1:size(ind,'*')-1,index=[index,1+sum(ind(1:k))];end Acstar=Ac(index,:);Bcstar=Bc(index,:); s=poly(0,'s'); p1=s^3+2*s^2-5*s+3;p2=(s-5)*(s-3); //p1 and p2 are desired closed-loop polynomials with degrees 3,2 c1=coeff(p1);c1=c1($-1:-1:1);c2=coeff(p2);c2=c2($-1:-1:1); Acstardesired=[-c1,0,0;0,0,0,-c2]; //Acstardesired(index,:) is companion matrix with char. pol=p1*p2 F=Bcstar\(Acstardesired-Acstar); //Feedbak gain Ac+Bc*F // Companion form spec(A+B*F/U) // F/U is the gain matrix in original basis. for k=winsid(),xdel(k);end //==================================================== // ../man/control/cls2dls.man //==================================================== clear;lines(0); s=poly(0,'s');z=poly(0,'z'); sl=syslin('c',(s+1)/(s^2-5*s+2)); //Continuous-time system in transfer form slss=tf2ss(sl); //Now in state-space form sl1=cls2dls(slss,0.2); //sl1= output of cls2dls sl1t=ss2tf(sl1) // Converts in transfer form sl2=horner(sl,(2/0.2)*(z-1)/(z+1)) //Compare sl2 and sl1 for k=winsid(),xdel(k);end //==================================================== // ../man/control/colregul.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/control/cont_frm.man //==================================================== clear;lines(0); s=poly(0,'s');NUM=[1+s,s];den=s^2-5*s+1; sl=cont_frm(NUM,den); slss=ss2tf(sl); //Compare with NUM/den for k=winsid(),xdel(k);end //==================================================== // ../man/control/cont_mat.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/control/contr.man //==================================================== clear;lines(0); W=ssrand(2,3,5,list('co',3)); //cont. subspace has dim 3. A=W("A");B=W("B"); [n,U]=contr(A,B);n A1=U'*A*U; spec(A1(n+1:$,n+1:$)) //uncontrollable modes spec(A+B*rand(3,5)) for k=winsid(),xdel(k);end //==================================================== // ../man/control/contrss.man //==================================================== clear;lines(0); A=[1,1;0,2];B=[1;0];C=[1,1];sl=syslin('c',A,B,C); //Non minimal slc=contrss(sl); sl1=ss2tf(sl);sl2=ss2tf(slc); //Compare sl1 and sl2 for k=winsid(),xdel(k);end //==================================================== // ../man/control/csim.man //==================================================== clear;lines(0); s=poly(0,'s');rand('seed',0);w=ssrand(1,1,3);w('A')=w('A')-2*eye(); t=0:0.05:5; //impulse(w) = step (s * w) xbasc(0);xset("window",0);xselect(); plot2d([t',t'],[(csim('step',t,tf2ss(s)*w))',0*t']) xbasc(1);xset("window",1);xselect(); plot2d([t',t'],[(csim('impulse',t,w))',0*t']) //step(w) = impulse (s^-1 * w) xbasc(3);xset("window",3);xselect(); plot2d([t',t'],[(csim('step',t,w))',0*t']) xbasc(4);xset("window",4);xselect(); plot2d([t',t'],[(csim('impulse',t,tf2ss(1/s)*w))',0*t']) for k=winsid(),xdel(k);end //==================================================== // ../man/control/ctr_gram.man //==================================================== clear;lines(0); A=diag([-1,-2,-3]);B=rand(3,2); Wc=ctr_gram(A,B) U=rand(3,3);A1=U*A/U;B1=U*B; Wc1=ctr_gram(A1,B1) //Not invariant! for k=winsid(),xdel(k);end //==================================================== // ../man/control/dbphi.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/control/des2tf.man //==================================================== clear;lines(0); s=poly(0,'s'); G=[1/(s+1),s;1+s^2,3*s^3]; Descrip=tf2des(G);Tf1=des2tf(Descrip) Descrip2=tf2des(G,"withD");Tf2=des2tf(Descrip2) [A,B,C,D,E]=Descrip2(2:6);Tf3=C*inv(s*E-A)*B+D for k=winsid(),xdel(k);end //==================================================== // ../man/control/dscr.man //==================================================== clear;lines(0); s=poly(0,'s'); Sys=syslin('c',[1,1/(s+1);2*s/(s^2+2),1/s]) ss2tf(dscr(tf2ss(Sys),0.1)) for k=winsid(),xdel(k);end //==================================================== // ../man/control/dsimul.man //==================================================== clear;lines(0); z=poly(0,'z'); h=(1-2*z)/(z^2-0.2*z+1); sl=tf2ss(h); u=zeros(1,20);u(1)=1; x1=dsimul(sl,u) //Impulse response u=ones(20,1); x2=dsimul(sl,u); //Step response for k=winsid(),xdel(k);end //==================================================== // ../man/control/dt_ility.man //==================================================== clear;lines(0); A=[2,1,1;0,-2,1;0,0,3]; C=[0,0,1]; X=rand(3,3);A=inv(X)*A*X;C=C*X; W=syslin('c',A,[],C); [k,n,U,W1]=dt_ility(W); W1("A") W1("C") for k=winsid(),xdel(k);end //==================================================== // ../man/control/equil.man //==================================================== clear;lines(0); P=rand(4,4);P=P*P'; Q=rand(4,4);Q=Q*Q'; T=equil(P,Q) clean(T*P*T') clean(inv(T)'*Q*inv(T)) for k=winsid(),xdel(k);end //==================================================== // ../man/control/equil1.man //==================================================== clear;lines(0); S1=rand(2,2);S1=S1*S1'; S2=rand(2,2);S2=S2*S2'; S3=rand(2,2);S3=S3*S3'; P=sysdiag(S1,S2,zeros(4,4)); Q=sysdiag(S1,zeros(2,2),S3,zeros(2,2)); X=rand(8,8); P=X*P*X';Q=inv(X)'*Q*inv(X); [T,siz]=equil1(P,Q); P1=clean(T*P*T') Q1=clean(inv(T)'*Q*inv(T)) for k=winsid(),xdel(k);end //==================================================== // ../man/control/feedback.man //==================================================== clear;lines(0); S1=ssrand(2,2,3);S2=ssrand(2,2,2); W=S1/.S2; ss2tf(S1/.S2) //Same operation by LFT: ss2tf(lft([zeros(2,2),eye(2,2);eye(2,2),-S2],S1)) //Other approach: with constant feedback BigS=sysdiag(S1,S2); F=[zeros(2,2),eye(2,2);-eye(2,2),zeros(2,2)]; Bigclosed=BigS/.F; W1=Bigclosed(1:2,1:2); //W1=W (in state-space). ss2tf(W1) //Inverting ss2tf(S1*inv(eye()+S2*S1)) for k=winsid(),xdel(k);end //==================================================== // ../man/control/flts.man //==================================================== clear;lines(0); sl=syslin('d',1,1,1);u=1:10; y=flts(u,sl); plot2d2("onn",(1:size(u,'c'))',y') [y1,x1]=flts(u(1:5),sl);y2=flts(u(6:10),sl,x1); y-[y1,y2] //With polynomial D: z=poly(0,'z'); D=1+z+z^2; p =degree(D); sl=syslin('d',1,1,1,D); y=flts(u,sl);[y1,x1]=flts(u(1:5),sl); y2=flts(u(5-p+1:10),sl,x1); // (update) y-[y1,y2] //Delay (transfer form): flts(u,1/z) // Usual responses z=poly(0,'z'); h=(1-2*z)/(z^2+0.3*z+1) u=zeros(1,20);u(1)=1; imprep=flts(u,tf2ss(h)); //Impulse response plot2d2("onn",(1:size(u,'c'))',imprep') u=ones(1,20); stprep=flts(u,tf2ss(h)); //Step response plot2d2("onn",(1:size(u,'c'))',stprep') // // Other examples A=[1 2 3;0 2 4;0 0 1];B=[1 0;0 0;0 1];C=eye(3,3);Sys=syslin('d',A,B,C); H=ss2tf(Sys); u=[1;-1]*(1:10); // yh=flts(u,H); ys=flts(u,Sys); norm(yh-ys,1) //hot restart [ys1,x]=flts(u(:,1:4),Sys);ys2=flts(u(:,5:10),Sys,x); norm([ys1,ys2]-ys,1) // yh1=flts(u(:,1:4),H);yh2=flts(u(:,5:10),H,[u(:,2:4);yh(:,2:4)]); norm([yh1,yh2]-yh,1) //with D<>0 D=[-3 8;4 -0.5;2.2 0.9]; Sys=syslin('d',A,B,C,D); H=ss2tf(Sys); u=[1;-1]*(1:10); rh=flts(u,H); rs=flts(u,Sys); norm(rh-rs,1) //hot restart [ys1,x]=flts(u(:,1:4),Sys);ys2=flts(u(:,5:10),Sys,x); norm([ys1,ys2]-rs,1) //With H: yh1=flts(u(:,1:4),H);yh2=flts(u(:,5:10),H,[u(:,2:4); yh1(:,2:4)]); norm([yh1,yh2]-rh) for k=winsid(),xdel(k);end //==================================================== // ../man/control/frep2tf.man //==================================================== clear;lines(0); s=poly(0,'s'); h=syslin('c',(s-1)/(s^3+5*s+20)) frq=0:0.05:3;repf=repfreq(h,frq); clean(frep2tf(frq,repf,3)) Sys=ssrand(1,1,10); frq=logspace(-3,2,200); [frq,rep]=repfreq(Sys,frq); //Frequency response of Sys [Sys2,err]=frep2tf(frq,rep,10);Sys2=clean(Sys2)//Sys2 obtained from freq. resp of Sys [frq,rep2]=repfreq(Sys2,frq); //Frequency response of Sys2 xbasc();bode(frq,[rep;rep2]) //Responses of Sys and Sys2 [sort(trzeros(Sys)),sort(roots(Sys2('num')))] //zeros [sort(spec(Sys('A'))),sort(roots(Sys2('den')))] //poles dom=1/1000; // Sampling time z=poly(0,'z'); h=syslin(dom,(z^2+0.5)/(z^3+0.1*z^2-0.5*z+0.08)) frq=(0:0.01:0.5)/dom;repf=repfreq(h,frq); [Sys2,err]=frep2tf(frq,repf,3,dom); [frq,rep2]=repfreq(Sys2,frq); //Frequency response of Sys2 xbasc();plot2d1("onn",frq',abs([repf;rep2])'); for k=winsid(),xdel(k);end //==================================================== // ../man/control/freq.man //==================================================== clear;lines(0); s=poly(0,'s'); sys=(s+1)/(s^3-5*s+4) rep=freq(sys("num"),sys("den"),[0,0.9,1.1,2,3,10,20]) [horner(sys,0),horner(sys,20)] // Sys=tf2ss(sys); [A,B,C,D]=abcd(Sys); freq(A,B,C,[0,0.9,1.1,2,3,10,20]) for k=winsid(),xdel(k);end //==================================================== // ../man/control/freson.man //==================================================== clear;lines(0); h=syslin('c',-1+%s,(3+2*%s+%s^2)*(50+0.1*%s+%s^2)) fr=freson(h) bode(h) g=20*log(abs(repfreq(h,fr)))/log(10) for k=winsid(),xdel(k);end //==================================================== // ../man/control/g_margin.man //==================================================== clear;lines(0); h=syslin('c',-1+%s,3+2*%s+%s^2) [g,fr]=g_margin(h) [g,fr]=g_margin(h-10) nyquist(h-10) for k=winsid(),xdel(k);end //==================================================== // ../man/control/gfrancis.man //==================================================== clear;lines(0); Plant=ssrand(1,3,5); [F,G,H,J]=abcd(Plant); nw=4;nuu=2;A=rand(nw,nw); st=maxi(real(spec(A)));A=A-st*eye(A); B=rand(nw,nuu);C=2*rand(1,nw);D=0*rand(C*B); Model=syslin('c',A,B,C,D); [L,M,T]=gfrancis(Plant,Model); norm(F*T+G*L-T*A,1) norm(H*T+J*L-C,1) norm(G*M-T*B,1) norm(J*M-D,1) for k=winsid(),xdel(k);end //==================================================== // ../man/control/imrep2ss.man //==================================================== clear;lines(0); s=poly(0,'s'); H=[1/(s+0.5);2/(s-0.4)] //strictly proper np=20;w=ldiv(H('num'),H('den'),np); rep=[w(1:np)';w(np+1:2*np)']; //The impulse response H1=ss2tf(imrep2ss(rep)) z=poly(0,'z'); H=(2*z^2-3.4*z+1.5)/(z^2-1.6*z+0.8) //Proper transfer function u=zeros(1,20);u(1)=1; rep=rtitr(H('num'),H('den'),u); //Impulse rep. // <=> rep=ldiv(H('num'),H('den'),20) w=z*imrep2ss(rep) //Realization with shifted impulse response // i.e strictly proper to proper H2=ss2tf(w); for k=winsid(),xdel(k);end //==================================================== // ../man/control/invsyslin.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/control/kpure.man //==================================================== clear;lines(0); s=poly(0,'s'); h=syslin('c',(s-1)/(1+5*s+s^2+s^3)) xbasc();evans(h) g=kpure(h) hf=h/.g(1) roots(denom(hf)) for k=winsid(),xdel(k);end //==================================================== // ../man/control/krac2.man //==================================================== clear;lines(0); h=syslin('c',352*poly(-5,'s')/poly([0,0,2000,200,25,1],'s','c')); xbasc();evans(h,100) g=krac2(h) hf1=h/.g(1);roots(denom(hf1)) hf2=h/.g(2);roots(denom(hf2)) for k=winsid(),xdel(k);end //==================================================== // ../man/control/lin.man //==================================================== clear;lines(0); deff('[y,xdot]=sim(x,u)','xdot=[u*sin(x);-u*x^2];y=xdot(1)+xdot(2)') sl=lin(sim,1,2); for k=winsid(),xdel(k);end //==================================================== // ../man/control/lqe.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/control/lqg.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/control/lqg2stan.man //==================================================== clear;lines(0); ny=2;nu=3;nx=4; P22=ssrand(ny,nu,nx); bigQ=rand(nx+nu,nx+nu);bigQ=bigQ*bigQ'; bigR=rand(nx+ny,nx+ny);bigR=bigR*bigR'; [P,r]=lqg2stan(P22,bigQ,bigR);K=lqg(P,r); //K=LQG-controller spec(h_cl(P,r,K)) //Closed loop should be stable //Same as Cl=P22/.K; spec(Cl('A')) s=poly(0,'s') lqg2stan(1/(s+2),eye(2,2),eye(2,2)) for k=winsid(),xdel(k);end //==================================================== // ../man/control/lqr.man //==================================================== clear;lines(0); A=rand(2,2);B=rand(2,1); //two states, one input Q=diag([2,5]);R=2; //Usual notations x'Qx + u'Ru Big=sysdiag(Q,R); //Now we calculate C1 and D12 [w,wp]=fullrf(Big);C1=w(:,1:2);D12=w(:,3); //[C1,D12]'*[C1,D12]=Big P=syslin('c',A,B,C1,D12); //The plant (continuous-time) [K,X]=lqr(P) spec(A+B*K) //check stability norm(A'*X+X*A-X*B*inv(R)*B'*X+Q,1) //Riccati check P=syslin('d',A,B,C1,D12); // Discrete time plant [K,X]=lqr(P) spec(A+B*K) //check stability norm(A'*X*A-(A'*X*B)*pinv(B'*X*B+R)*(B'*X*A)+Q-X,1) //Riccati check for k=winsid(),xdel(k);end //==================================================== // ../man/control/ltitr.man //==================================================== clear;lines(0); A=eye(2,2);B=[1;1]; x0=[-1;-2]; u=[1,2,3,4,5]; x=ltitr(A,B,u,x0) x1=A*x0+B*u(1) x2=A*x1+B*u(2) x3=A*x2+B*u(3) //.... for k=winsid(),xdel(k);end //==================================================== // ../man/control/markp2ss.man //==================================================== clear;lines(0); W=ssrand(2,3,4); //random system with 2 outputs and 3 inputs [a,b,c,d]=abcd(W); markpar=[c*b,c*a*b,c*a^2*b,c*a^3*b,c*a^4*b]; S=markp2ss(markpar,5,2,3); [A,B,C,D]=abcd(S); Markpar=[C*B,C*A*B,C*A^2*B,C*A^3*B,C*A^4*B]; norm(markpar-Markpar,1) //Caution... c*a^5*b is not C*A^5*B ! for k=winsid(),xdel(k);end //==================================================== // ../man/control/minreal.man //==================================================== clear;lines(0); A=[-eye(2,2),rand(2,2);zeros(2,2),-2*eye(2,2)]; B=[rand(2,2);zeros(2,2)];C=rand(2,4); sl=syslin('c',A,B,C); slb=minreal(sl); ss2tf(sl) ss2tf(slb) ctr_gram(sl) clean(ctr_gram(slb)) clean(obs_gram(slb)) for k=winsid(),xdel(k);end //==================================================== // ../man/control/minss.man //==================================================== clear;lines(0); sl=syslin('c',[1 0;0 2],[1;0],[2 1]); ssprint(sl); ssprint(minss(sl)) for k=winsid(),xdel(k);end //==================================================== // ../man/control/obs_gram.man //==================================================== clear;lines(0); A=-diag(1:3);C=rand(2,3); Go=obs_gram(A,C,'c'); // <=> w=syslin('c',A,[],C); Go=obs_gram(w); norm(Go*A+A'*Go+C'*C,1) norm(lyap(A,-C'*C,'c')-Go,1) A=A/4; Go=obs_gram(A,C,'d'); //discrete time case norm(lyap(A,-C'*C,'d')-Go,1) for k=winsid(),xdel(k);end //==================================================== // ../man/control/obscont.man //==================================================== clear;lines(0); ny=2;nu=3;nx=4;P=ssrand(ny,nu,nx);[A,B,C,D]=abcd(P); Kc=-ppol(A,B,[-1,-1,-1,-1]); //Controller gain Kf=-ppol(A',C',[-2,-2,-2,-2]);Kf=Kf'; //Observer gain cl=P/.(-obscont(P,Kc,Kf));spec(cl('A')) //closed loop system [J,r]=obscont(P,Kc,Kf); Q=ssrand(nu,ny,3);Q('A')=Q('A')-(maxi(real(spec(Q('A'))))+0.5)*eye(Q('A')) //Q is a stable parameter K=lft(J,r,Q); spec(h_cl(P,K)) // closed-loop A matrix (should be stable); for k=winsid(),xdel(k);end //==================================================== // ../man/control/observer.man //==================================================== clear;lines(0); nx=5;nu=1;ny=1;un=3;us=2;Sys=ssrand(ny,nu,nx,list('dt',us,us,un)); //nx=5 states, nu=1 input, ny=1 output, //un=3 unobservable states, us=2 of them unstable. [Obs,U,m]=observer(Sys); //Stable observer (default) W=U';H=W(m+1:nx,:);[A,B,C,D]=abcd(Sys); //H*U=[0,eye(no,no)]; Sys2=ss2tf(syslin('c',A,B,H)) //Transfer u-->z Idu=eye(nu,nu);Sys3=ss2tf(H*U(:,m+1:$)*Obs*[Idu;Sys]) //Transfer u-->[u;y=Sys*u]-->Obs-->xhat-->HUxhat=zhat i.e. u-->output of Obs //this transfer must equal Sys2, the u-->z transfer (H2=eye). for k=winsid(),xdel(k);end //==================================================== // ../man/control/obsv_mat.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/control/obsvss.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/control/p_margin.man //==================================================== clear;lines(0); h=syslin('c',-1+%s,3+2*%s+%s^2) [p,fr]=p_margin(h) [p,fr]=p_margin(h+0.7) nyquist(h+0.7) t=(0:0.1:2*%pi)';plot2d(sin(t),cos(t),-3,'000') for k=winsid(),xdel(k);end //==================================================== // ../man/control/pfss.man //==================================================== clear;lines(0); W=ssrand(1,1,6); elts=pfss(W); W1=0;for k=1:size(elts), W1=W1+ss2tf(elts(k));end clean(ss2tf(W)-W1) for k=winsid(),xdel(k);end //==================================================== // ../man/control/phasemag.man //==================================================== clear;lines(0); s=poly(0,'s'); h=syslin('c',1/((s+5)*(s+10)*(100+6*s+s*s)*(s+.3))); [frq,rf]=repfreq(h,0.1,20,0.005); xbasc(0); plot2d(frq',phasemag(rf,'c')'); xbasc(1); plot2d(frq',phasemag(rf,'m')'); for k=winsid(),xdel(k);end //==================================================== // ../man/control/ppol.man //==================================================== clear;lines(0); A=rand(3,3);B=rand(3,2); F=ppol(A,B,[-1,-2,-3]); spec(A-B*F) for k=winsid(),xdel(k);end //==================================================== // ../man/control/projsl.man //==================================================== clear;lines(0); rand('seed',0);sl=ssrand(2,2,5);[A,B,C,D]=abcd(sl);poles=spec(A) [Q,M]=pbig(A,0,'c'); //keeping unstable poles slred=projsl(sl,Q,M);spec(slred('A')) sl('D')=rand(2,2); //making proper system trzeros(sl) //zeros of sl wi=inv(sl); //wi=inverse in state-space [q,m]=psmall(wi('A'),2,'d'); //keeping small zeros (poles of wi) i.e. abs(z)<2 slred2=projsl(sl,q,m); trzeros(slred2) //zeros of slred2 = small zeros of sl // Example keeping second order modes A=diag([-1,-2,-3]); sl=syslin('c',A,rand(3,2),rand(2,3));[nk2,W]=hankelsv(sl) [Q,M]=pbig(W,nk2(2)-%eps,'c'); //keeping 2 eigenvalues of W slr=projsl(sl,Q,M); //reduced model hankelsv(slr) for k=winsid(),xdel(k);end //==================================================== // ../man/control/repfreq.man //==================================================== clear;lines(0); A=diag([-1,-2]);B=[1;1];C=[1,1]; Sys=syslin('c',A,B,C); frq=0:0.02:5;w=frq*2*%pi; //frq=frequencies in Hz ;w=frequencies in rad/sec; [frq1,rep] =repfreq(Sys,frq); [db,phi]=dbphi(rep); Systf=ss2tf(Sys) //Transfer function of Sys x=horner(Systf,w(2)*sqrt(-1)) // x is Systf(s) evaluated at s = i w(2) rep=20*log(abs(x))/log(10) //magnitude of x in dB db(2) // same as rep ang=atan(imag(x),real(x)); //in rad. ang=ang*180/%pi //in degrees phi(2) repf=repfreq(Sys,frq); repf(2)-x for k=winsid(),xdel(k);end //==================================================== // ../man/control/ricc.man //==================================================== clear;lines(0); //Standard formulas to compute Riccati solutions A=rand(3,3);B=rand(3,2);C=rand(3,3);C=C*C';R=rand(2,2);R=R*R'+eye(); B=B*inv(R)*B'; X=ricc(A,B,C,'cont'); norm(A'*X+X*A-X*B*X+C,1) H=[A -B;-C -A']; [T,d]=gschur(eye(H),H,'cont');T=T(:,1:d); X1=T(4:6,:)/T(1:3,:); norm(X1-X,1) [T,d]=schur(H,'cont');T=T(:,1:d); X2=T(4:6,:)/T(1:3,:); norm(X2-X,1) // Discrete time case F=A;B=rand(3,2);G1=B;G2=R;G=G1/G2*G1';H=C; X=ricc(F,G,H,'disc'); norm(F'*X*F-(F'*X*G1/(G2+G1'*X*G1))*(G1'*X*F)+H-X) H1=[eye(3,3) G;zeros(3,3) F']; H2=[F zeros(3,3);-H eye(3,3)]; [T,d]=gschur(H2,H1,'disc');T=T(:,1:d);X1=T(4:6,:)/T(1:3,:); norm(X1-X,1) Fi=inv(F); Hami=[Fi Fi*G;H*Fi F'+H*Fi*G]; [T,d]=schur(Hami,'d');T=T(:,1:d); Fit=inv(F'); Ham=[F+G*Fit*H -G*Fit;-Fit*H Fit]; [T,d]=schur(Ham,'d');T=T(:,1:d);X2=T(4:6,:)/T(1:3,:); norm(X2-X,1) for k=winsid(),xdel(k);end //==================================================== // ../man/control/rowregul.man //==================================================== clear;lines(0); s=%s; w=[1/s,0;s/(s^3+2),2/s]; Sl=tf2ss(w); [Stmp,Ws]=rowregul(Sl,-1,-2); Stmp('D') // D matrix of Stmp clean(ss2tf(Stmp)) for k=winsid(),xdel(k);end //==================================================== // ../man/control/rtitr.man //==================================================== clear;lines(0); z=poly(0,'z'); Num=1+z;Den=1+z;u=[1,2,3,4,5]; rtitr(Num,Den,u)-u //Other examples //siso //causal n1=1;d1=poly([1 1],'z','coeff'); // y(j)=-y(j-1)+u(j-1) r1=[0 1 0 1 0 1 0 1 0 1 0]; r=rtitr(n1,d1,ones(1,10));norm(r1-r,1) //hot restart r=rtitr(n1,d1,ones(1,9),1,0);norm(r1(2:11)-r) //non causal n2=poly([1 1 1],'z','coeff');d2=d1; // y(j)=-y(j-1)+u(j-1)+u(j)+u(j+1) r2=[2 1 2 1 2 1 2 1 2]; r=rtitr(n2,d2,ones(1,10));norm(r-r2,1) //hot restart r=rtitr(n2,d2,ones(1,9),1,2);norm(r2(2:9)-r,1) // //MIMO example //causal d1=d1*diag([1 0.5]);n1=[1 3 1;2 4 1];r1=[5;14]*r1; r=rtitr(n1,d1,ones(3,10));norm(r1-r,1) // r=rtitr(n1,d1,ones(3,9),[1;1;1],[0;0]); norm(r1(:,2:11)-r,1) //polynomial n1 (same ex.) n1(1,1)=poly(1,'z','c');r=rtitr(n1,d1,ones(3,10));norm(r1-r,1) // r=rtitr(n1,d1,ones(3,9),[1;1;1],[0;0]); norm(r1(:,2:11)-r,1) //non causal d2=d1;n2=n2*n1;r2=[5;14]*r2; r=rtitr(n2,d2,ones(3,10));norm(r2-r) // r=rtitr(n2,d2,ones(3,9),[1;1;1],[10;28]); norm(r2(:,2:9)-r,1) // // State-space or transfer a = [0.21 , 0.63 , 0.56 , 0.23 , 0.31 0.76 , 0.85 , 0.66 , 0.23 , 0.93 0 , 0.69 , 0.73 , 0.22 , 0.21 0.33 , 0.88 , 0.2 , 0.88 , 0.31 0.67 , 0.07 , 0.54 , 0.65 , 0.36]; b = [0.29 , 0.5 , 0.92 0.57 , 0.44 , 0.04 0.48 , 0.27 , 0.48 0.33 , 0.63 , 0.26 0.59 , 0.41 , 0.41]; c = [0.28 , 0.78 , 0.11 , 0.15 , 0.84 0.13 , 0.21 , 0.69 , 0.7 , 0.41]; d = [0.41 , 0.11 , 0.56 0.88 , 0.2 , 0.59]; s=syslin('d',a,b,c,d); h=ss2tf(s);num=h('num');den=h('den');den=den(1,1)*eye(2,2); u=1;u(3,10)=0;r3=flts(u,s); r=rtitr(num,den,u);norm(r3-r,1) for k=winsid(),xdel(k);end //==================================================== // ../man/control/sm2des.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/control/sm2ss.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/control/specfact.man //==================================================== clear;lines(0); A=diag([-1,-2]);B=[1;1];C=[1,1];D=1;s=poly(0,'s'); W1=syslin('c',A,B,C,D); phi=gtild(W1,'c')+W1; phis=clean(ss2tf(phi)) clean(phis-horner(phis,-s)'); //check this is 0... [A,B,C,D]=abcd(W1); [W0,L]=specfact(A,B,C,D); W=syslin('c',A,B,L,W0) Ws=ss2tf(W); horner(Ws,-s)*Ws for k=winsid(),xdel(k);end //==================================================== // ../man/control/ss2des.man //==================================================== clear;lines(0); s=poly(0,'s'); G=[1/(s+1),s;1+s^2,3*s^3];Sl=tf2ss(G); S=ss2des(Sl) S1=ss2des(Sl,"withD") Des=des2ss(S);Des(5)=clean(Des(5)) Des1=des2ss(S1) for k=winsid(),xdel(k);end //==================================================== // ../man/control/ss2ss.man //==================================================== clear;lines(0); Sl=ssrand(2,2,5); trzeros(Sl) // zeros are invariant: Sl1=ss2ss(Sl,rand(5,5),rand(2,5),rand(5,2)); trzeros(Sl1), trzeros(rand(2,2)*Sl1*rand(2,2)) // output injection [ A + GC, (B+GD,-G)] // [ C , (D , 0)] p=1,m=2,n=2; sys=ssrand(p,m,n); // feedback (m,n) first and then output injection. F1=rand(m,n); G=rand(n,p); [sys1,right,left]=ss2ss(sys,rand(n,n),F1,G,2); // Sl1 equiv left*sysdiag(sys*right,eye(p,p))) res=clean(ss2tf(sys1) - ss2tf(left*sysdiag(sys*right,eye(p,p)))) // output injection then feedback (m+p,n) F2=rand(p,n); F=[F1;F2]; [sys2,right,left]=ss2ss(sys,rand(n,n),F,G,1); // Sl1 equiv left*sysdiag(sys,eye(p,p))*right res=clean(ss2tf(sys2)-ss2tf(left*sysdiag(sys,eye(p,p))*right)) // when F2= 0; sys1 and sys2 are the same F2=0*rand(p,n);F=[F1;F2]; [sys2,right,left]=ss2ss(sys,rand(n,n),F,G,1); res=clean(ss2tf(sys2)-ss2tf(sys1)) for k=winsid(),xdel(k);end //==================================================== // ../man/control/ss2tf.man //==================================================== clear;lines(0); s=poly(0,'s'); h=[1,1/s;1/(s^2+1),s/(s^2-2)] sl=tf2ss(h); h=clean(ss2tf(sl)) [Ds,NUM,chi]=ss2tf(sl) for k=winsid(),xdel(k);end //==================================================== // ../man/control/st_ility.man //==================================================== clear;lines(0); A=diag([0.9,-2,3]);B=[0;0;1];Sl=syslin('c',A,B,[]); [ns,nc,U]=st_ility(Sl); U'*A*U U'*B [ns,nc,U]=st_ility(syslin('d',A,B,[])); U'*A*U U'*B for k=winsid(),xdel(k);end //==================================================== // ../man/control/stabil.man //==================================================== clear;lines(0); // Gain: Sys=ssrand(0,2,5,list('st',2,3,3)); A=Sys('A');B=Sys('B');F=stabil(A,B); spec(A) //2 controllable modes 2 unstable uncontrollable modes //and one stable uncontrollable mode spec(A+B*F) //the two controllable modes are set to -1. // Compensator: Sys=ssrand(3,2,5,list('st',2,3,3)); //3 outputs, 2 inputs, 5 states //2 controllables modes, 3 controllable or stabilizable modes. K=stabil(Sys,-2,-3); //Compensator for Sys. spec(Sys('A')) spec(h_cl(Sys,K)) //K Stabilizes what can be stabilized. for k=winsid(),xdel(k);end //==================================================== // ../man/control/svplot.man //==================================================== clear;lines(0); x=logspace(-3,3); y=svplot(ssrand(2,2,4)); xbasc();plot2d1("oln",x',20*log(y')/log(10)); xgrid(12) xtitle("Singular values plot","(Rd/sec)", "Db"); for k=winsid(),xdel(k);end //==================================================== // ../man/control/syssize.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/control/tf2ss.man //==================================================== clear;lines(0); s=poly(0,'s'); H=[2/s,(s+1)/(s^2-5)]; Sys=tf2ss(H) clean(ss2tf(Sys)) for k=winsid(),xdel(k);end //==================================================== // ../man/control/time_id.man //==================================================== clear;lines(0); z=poly(0,'z'); h=(1-2*z)/(z^2-0.5*z+5) rep=[0;ldiv(h('num'),h('den'),20)]; //impulse response H=time_id(2,'impuls',rep) // Same example with flts and u u=zeros(1,20);u(1)=1; rep=flts(u,tf2ss(h)); //impulse response H=time_id(2,u,rep) // step response u=ones(1,20); rep=flts(u,tf2ss(h)); //step response. H=time_id(2,'step',rep) H=time_id(3,u,rep) //with u as input and too high order required for k=winsid(),xdel(k);end //==================================================== // ../man/control/trzeros.man //==================================================== clear;lines(0); W1=ssrand(2,2,5);trzeros(W1) //call trzeros roots(det(systmat(W1))) //roots of det(system matrix) s=poly(0,'s');W=[1/(s+1);1/(s-2)];W2=(s-3)*W*W';[nt,dt,rk]=trzeros(W2); St=systmat(tf2ss(W2));[Q,Z,Qd,Zd,numbeps,numbeta]=kroneck(St); St1=Q*St*Z;rowf=(Qd(1)+Qd(2)+1):(Qd(1)+Qd(2)+Qd(3)); colf=(Zd(1)+Zd(2)+1):(Zd(1)+Zd(2)+Zd(3)); roots(St1(rowf,colf)), nt./dt //By Kronecker form for k=winsid(),xdel(k);end //==================================================== // ../man/control/unobs.man //==================================================== clear;lines(0); A=diag([1,2,3]);C=[1,0,0]; unobs(A,C) for k=winsid(),xdel(k);end //==================================================== // ../man/control/zeropen.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/dcd/cdfbet.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/dcd/cdfbin.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/dcd/cdfchi.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/dcd/cdfchn.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/dcd/cdff.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/dcd/cdffnc.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/dcd/cdfgam.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/dcd/cdfnbn.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/dcd/cdfnor.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/dcd/cdfpoi.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/dcd/cdft.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/dcd/grand.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/G_make.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/abs.man //==================================================== clear;lines(0); abs([1,%i,-1,-%i,1+%i]) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/acos.man //==================================================== clear;lines(0); x=[1,%i,-1,-%i] cos(acos(x)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/acosh.man //==================================================== clear;lines(0); x=[0,1,%i]; cosh(acosh(x)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/acoshm.man //==================================================== clear;lines(0); A=[1,2;3,4]; coshm(acoshm(A)) A(1,1)=A(1,1)+%i; coshm(acoshm(A)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/acosm.man //==================================================== clear;lines(0); A=[1,2;3,4]; cosm(acosm(A)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/addf.man //==================================================== clear;lines(0); addf('0','1') addf('1','a') addf('1','2') 'a'+'b' for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/addmenu.man //==================================================== clear;lines(0); addmenu('foo') foo='disp(''hello'')' addmenu('Hello',['Franck';'Peter']) Hello=['disp(''hello Franck'')';'disp(''hello Peter'')'] addmenu(0,'Hello',['Franck';'Peter']) Hello_0=['disp(''hello Franck'')';'disp(''hello Peter'')'] addmenu('Bye',list(0,'French_Bye')) French_Bye='disp(''Au revoir'')' for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/adj2sp.man //==================================================== clear;lines(0); A = sprand(100,50,.05); [xadj,adjncy,anz]= sp2adj(A); [n,m]=size(A); p = adj2sp(xadj,adjncy,anz,[n,m]); A-p, for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/amell.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/asin.man //==================================================== clear;lines(0); A=[1,2;3,4] sin(asin(A)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/asinh.man //==================================================== clear;lines(0); A=[1,2;2,3] sinh(asinh(A)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/asinhm.man //==================================================== clear;lines(0); A=[1,2;2,3] sinhm(asinhm(A)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/asinm.man //==================================================== clear;lines(0); A=[1,2;3,4] sinm(asinm(A)) asinm(A)+%i*logm(%i*A+sqrtm(eye()-A*A)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/atan.man //==================================================== clear;lines(0); x=[1,%i,-1,%i] phasex=atan(imag(x),real(x)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/atanh.man //==================================================== clear;lines(0); x=[0,%i,-%i] tanh(atanh(x)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/atanhm.man //==================================================== clear;lines(0); A=[1,2;3,4]; tanhm(atanhm(A)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/atanm.man //==================================================== clear;lines(0); tanm(atanm([1,2;3,4])) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/besseli.man //==================================================== clear;lines(0); besseli(0.5:3,1:4) besseli(0.5:3,1:4,2) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/besselj.man //==================================================== clear;lines(0); besselj(0.5:3,1:4) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/besselk.man //==================================================== clear;lines(0); besselk(0.5:3,1:4) besselk(0.5:3,1:4,2) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/bessely.man //==================================================== clear;lines(0); bessely(0.5:3,1:4) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/bloc2exp.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/bloc2ss.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/c_link.man //==================================================== clear;lines(0); if c_link('foo') then link('foo.o','foo');end // to unlink all the shared libarries which contain foo a=%t; while a ;[a,b]=c_link('foo'); ulink(b);end for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/calerf.man //==================================================== clear;lines(0); deff('y=f(t)','y=exp(-t^2)'); calerf(1,0) 2/sqrt(%pi)*intg(0,1,f) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/cmb_lin.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/conj.man //==================================================== clear;lines(0); x=[1+%i,-%i;%i,2*%i]; conj(x) x'-conj(x) //x' is conjugate transpose for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/convstr.man //==================================================== clear;lines(0); A=['this','is';'my','matrix']; convstr(A,'u') for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/cos.man //==================================================== clear;lines(0); x=[0,1,%i] acos(cos(x)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/cosh.man //==================================================== clear;lines(0); x=[0,1,%i] acosh(cosh(x)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/coshm.man //==================================================== clear;lines(0); A=[1,2;2,4] acoshm(coshm(A)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/cosm.man //==================================================== clear;lines(0); A=[1,2;3,4] cosm(A)-0.5*(expm(%i*A)+expm(-%i*A)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/cotg.man //==================================================== clear;lines(0); x=[1,%i]; cotg(x)-cos(x)./sin(x) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/coth.man //==================================================== clear;lines(0); x=[1,2*%i] t=exp(x); (t-ones(x)./t).\(t+ones(x)./t) coth(x) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/cothm.man //==================================================== clear;lines(0); A=[1,2;3,4]; cothm(A) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/cumprod.man //==================================================== clear;lines(0); A=[1,2;3,4]; cumprod(A) cumprod(A,'r') cumprod(A,'c') rand('seed',0); a=rand(3,4); [m,n]=size(a); w=zeros(a); w(1,:)=a(1,:); for k=2:m;w(k,:)=w(k-1,:).*a(k,:);end;w-cumprod(a,'r') for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/cumsum.man //==================================================== clear;lines(0); A=[1,2;3,4]; cumsum(A) cumsum(A,'r') cumsum(A,'c') a=rand(3,4)+%i; [m,n]=size(a); w=zeros(a); w(1,:)=a(1,:); for k=2:m;w(k,:)=w(k-1,:)+a(k,:);end;w-cumsum(a,'r') for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/debug.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/dec2hex.man //==================================================== clear;lines(0); dec2hex([2748 10;11 3]) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/delip.man //==================================================== clear;lines(0); ck=0.5; delip([1,2],ck) deff('y=f(t)','y=1/sqrt((1-t^2)*(1-ck^2*t^2))') intg(0,1,f) //OK since real solution! for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/delmenu.man //==================================================== clear;lines(0); addmenu('foo') delmenu('foo') for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/demos.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/diag.man //==================================================== clear;lines(0); diag([1,2]) A=[1,2;3,4]; diag(A) diag(A,1) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/dlgamma.man //==================================================== clear;lines(0); dlgamma(0.5) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/edit.man //==================================================== clear;lines(0); //newedit=edit('edit') //opens editor with text of this function //myfunction=edit('myfunction') //opens editor for a new function for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/emptystr.man //==================================================== clear;lines(0); x=emptystr();for k=1:10, x=x+','+string(k);end for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/erf.man //==================================================== clear;lines(0); deff('y=f(t)','y=exp(-t^2)'); erf(0.5)-2/sqrt(%pi)*intg(0,0.5,f) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/erfc.man //==================================================== clear;lines(0); erf([0.5,0.2])+erfc([0.5,0.2]) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/erfcx.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/eval.man //==================================================== clear;lines(0); a=1; b=2; Z=['a','sin(b)'] ; eval(Z) //returns the matrix [1,0.909]; for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/execstr.man //==================================================== clear;lines(0); execstr('a=1') // sets a=1. execstr('1+1') // does nothing (while evstr('1+1') returns 2) execstr(['if %t then'; ' a=1'; ' b=a+1'; 'else' ' b=0' 'end']) execstr('a=zzzzzzz','errcatch') for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/full.man //==================================================== clear;lines(0); sp=sparse([1,2;5,4;3,1],[1,2,3]); A=full(sp) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/gamma.man //==================================================== clear;lines(0); gamma(0.5) gamma(6)-prod(1:5) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/gammaln.man //==================================================== clear;lines(0); gammaln(0.5) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/getvalue.man //==================================================== clear;lines(0); labels=["magnitude";"frequency";"phase "]; [ok,mag,freq,ph]=getvalue("define sine signal",labels,... list("vec",1,"vec",1,"vec",1),["0.85";"10^2";"%pi/3"]) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/gsort.man //==================================================== clear;lines(0); alr=[1,2,2; 1,2,1; 1,1,2; 1,1,1]; [alr1,k]=gsort(alr,'lr','i') [alr1,k]=gsort(alr,'lc','i') for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/halt.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/havewindow.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/hex2dec.man //==================================================== clear;lines(0); hex2dec(['ABC','0','A']) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/input.man //==================================================== clear;lines(0); //x=input("How many iterations?") //x=input("What is your name?","string") for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/integrate.man //==================================================== clear;lines(0); integrate('sin(x)','x',0,%pi) integrate(['if x==0 then 1,'; 'else sin(x)/x,end'],'x',0,%pi) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/interp.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/interpln.man //==================================================== clear;lines(0); x=[1 10 20 30 40]; y=[1 30 -10 20 40]; plot2d(x',y',[-3],"011"," ",[-10,-40,50,50]); yi=interpln([x;y],-4:45); plot2d((-4:45)',yi',[3],"000"); for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/intsplin.man //==================================================== clear;lines(0); t=0:0.1:%pi intsplin(t,sin(t)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/inttrap.man //==================================================== clear;lines(0); t=0:0.1:%pi inttrap(t,sin(t)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/isdef.man //==================================================== clear;lines(0); A=1; isdef('A') clear A isdef('A') for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/isinf.man //==================================================== clear;lines(0); isinf([1 0.01 -%inf %inf]) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/isnan.man //==================================================== clear;lines(0); isnan([1 0.01 -%nan %inf-%inf]) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/isreal.man //==================================================== clear;lines(0); isreal([1 2]) isreal(1+0*%i) isreal(1+0*%i,0) isreal(1+%s) isreal(sprand(3,3,0.1)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/kron.man //==================================================== clear;lines(0); A=[1,2;3,4]; kron(A,A) A.*.A A(1,1)=%i; kron(A,A) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/ldivf.man //==================================================== clear;lines(0); ldivf('1','1') ldivf('a','0') ldivf('a','x') ldivf('2','4') for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/linspace.man //==================================================== clear;lines(0); linspace(1,2,10) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/log.man //==================================================== clear;lines(0); exp(log([1,%i,-1,-%i])) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/log10.man //==================================================== clear;lines(0); 10.^log10([1,%i,-1,-%i]) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/logm.man //==================================================== clear;lines(0); A=[1,2;3,4]; logm(A) expm(logm(A)) A1=A*A'; logm(A1) expm(logm(A1)) A1(1,1)=%i; expm(logm(A1)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/logspace.man //==================================================== clear;lines(0); logspace(1,2,10) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/macr2lst.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/macrovar.man //==================================================== clear;lines(0); deff('y=f(x1,x2)','loc=1;y=a*x1+x2-loc') vars=macrovar(f) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/manedit.man //==================================================== clear;lines(0); //manedit('lqg') for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/mean.man //==================================================== clear;lines(0); A=[1,2,10;7,7.1,7.01]; mean(A) mean(A,'r') mean(A,'c') for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/median.man //==================================================== clear;lines(0); A=[1,2,10;7,7.1,7.01]; median(A) median(A,'r') median(A,'c') for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/modulo.man //==================================================== clear;lines(0); n=[1,2,10,15];m=[2,2,3,5]; modulo(n,m) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/mulf.man //==================================================== clear;lines(0); mulf('1','a') mulf('0','a') 'a'+'b' //Caution... for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/nnz.man //==================================================== clear;lines(0); sp=sparse([1,2;4,5;3,10],[1,2,3]); nnz(sp) a=[1 0 0 0 2]; nnz(a) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/norm.man //==================================================== clear;lines(0); A=[1,2,3]; norm(A,1) norm(A,'inf') A=[1,2;3,4] max(svd(A))-norm(A) A=sparse([1 0 0 33 -1]) norm(A) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/pen2ea.man //==================================================== clear;lines(0); E=[1,0];A=[1,2];s=poly(0,'s'); [E,A]=pen2ea(s*E-A) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/pertrans.man //==================================================== clear;lines(0); A=[1,2;3,4] pertrans(A) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/prod.man //==================================================== clear;lines(0); A=[1,2;0,100]; prod(A) prod(A,'c') prod(A,'r') for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/rdivf.man //==================================================== clear;lines(0); ldivf('c','d') ldivf('1','2') ldivf('a','0') for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/readc_.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/readmps.man //==================================================== clear;lines(0); //File : test.mps (uncomment) //NAME TESTPROB //ROWS // N COST // L LIM1 // G LIM2 // E MYEQN //COLUMNS // XONE COST 1 LIM1 1 // XONE LIM2 1 // YTWO COST 4 LIM1 1 // YTWO MYEQN -1 // ZTHREE COST 9 LIM2 1 // ZTHREE MYEQN 1 //RHS // RHS1 LIM1 5 LIM2 10 // RHS1 MYEQN 7 //BOUNDS // UP BND1 XONE 4 // LO BND1 YTWO -1 // UP BND1 YTWO 1 //ENDATA //// objective: // min XONE + 4 YTWO + 9 ZTHREE //// constraints: // LIM1: XONE + YTWO < = 5 // LIM2: XONE + ZTHREE > = 10 // MYEQN: - YTWO + ZTHREE = 7 //// Bounds // 0 < = XONE < = 4 // -1 < = YTWO < = 1 //// End maxm = 5; maxn = 4; maxnza = 9; big = 10^30; dlobnd = 0; dupbnd = 10^30; // //[m,n,nza,irobj,namec,nameb,namran,nambnd,name,stavar,rwstat,hdrwcd,... //lnkrw,hdclcd,lnkcl,rwnmbs,clpnts,acoeff,rhs,ranges,ubounds,lbounds] = ... //readmps ('test',maxm,maxn,maxnza,big,dlobnd,dupbnd); for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/sci2exp.man //==================================================== clear;lines(0); a=[1 2;3 4] sci2exp(a,'aa') sci2exp(a,'aa',0) sci2exp(ssrand(2,2,2)) sci2exp(poly([1 0 3 4],'s'),'fi') for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/sci2map.man //==================================================== clear;lines(0); txt=[sci2map([1 2;3 4],'a'); sci2map(%s^2+3*%s+4,'p')] for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/setmenu.man //==================================================== clear;lines(0); addmenu('foo') //New button made in main scilab window unsetmenu('foo') //button foo cannot be activated (grey string) setmenu('foo') //button foo can be activated (black string) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/sin.man //==================================================== clear;lines(0); asin(sin([1,0,%i])) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/sinh.man //==================================================== clear;lines(0); asinh(sinh([0,1,%i])) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/sinhm.man //==================================================== clear;lines(0); A=[1,2;2,3] asinhm(sinhm(A)) A(1,1)=%i;sinhm(A)-(expm(A)-expm(-A))/2 //Complex case for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/sinm.man //==================================================== clear;lines(0); A=[1,2;2,4]; sinm(A)+0.5*%i*(expm(%i*A)-expm(-%i*A)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/smooth.man //==================================================== clear;lines(0); x=[1 10 20 30 40]; y=[1 30 -10 20 40]; plot2d(x',y',[3],"011"," ",[-10,-40,50,50]); yi=smooth([x;y],0.1); plot2d(yi(1,:)',yi(2,:)',[1],"000"); for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/solve.man //==================================================== clear;lines(0); A=['1','a';'0','2']; //Upper triangular b=['x';'y']; w=solve(A,b) a=1;x=2;y=5; evstr(w) inv([1,1;0,2])*[2;5] for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/sort.man //==================================================== clear;lines(0); [s,p]=sort(rand(1,10)); //p is a random permutation of 1:10 A=[1,2,5;3,4,2]; [Asorted,q]=sort(A);A(q(:))-Asorted(:) v=1:10; sort(v) sort(v') sort(v,'r') //Does nothing for row vectors sort(v,'c') for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/sp2adj.man //==================================================== clear;lines(0); A = sprand(100,50,.05); [xadj,adjncy,anz]= sp2adj(A); [n,m]=size(A); p = adj2sp(xadj,adjncy,anz,[n,m]); A-p, for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/sparse.man //==================================================== clear;lines(0); sp=sparse([1,2;4,5;3,10],[1,2,3]) size(sp) x=rand(2,2);abs(x)-full(abs(sparse(x))) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/spcompack.man //==================================================== clear;lines(0); // A is the sparse matrix: A=[1,0,0,0,0,0,0; 0,1,0,0,0,0,0; 0,0,1,0,0,0,0; 0,0,1,1,0,0,0; 0,0,1,1,1,0,0; 0,0,1,1,0,1,0; 0,0,1,1,0,1,1]; A=sparse(A); //For this matrix, the standard adjacency representation is given by: xadj=[1,2,3,8,12,13,15,16]; adjncy=[1, 2, 3,4,5,6,7, 4,5,6,7, 5, 6,7, 7]; //(see sp2adj). // increments in vector xadj give the number of non zero entries in each column // ie there is 2-1=1 entry in the column 1 // there is 3-2=1 entry in the column 2 // there are 8-3=5 entries in the column 3 // 12-8=4 4 //etc //The row index of these entries is given by the adjncy vector // for instance, // adjncy (3:7)=adjncy(xadj(3):xadj(4)-1)=[3,4,5,6,7] // says that the 5=xadj(4)-xadj(3) entries in column 3 have row // indices 3,4,5,6,7. //In the compact representation, the repeated sequences in adjncy //are eliminated. //Here in adjncy the sequences 4,5,6,7 and 7 are eliminated. //The standard structure (xadj,adjncy) takes the compressed form (lindx,xlindx) lindx=[1, 2, 3,4,5,6,7, 5, 6,7]; xlindx=[1,2,3,8,9,11]; //(Columns 4 and 7 of A are eliminated). //A can be reconstructed from (xadj,xlindx,lindx). [xadj,adjncy,anz]= sp2adj(A); adjncy - spcompack(xadj,xlindx,lindx) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/speye.man //==================================================== clear;lines(0); eye(3,3)-full(speye(3,3)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/spget.man //==================================================== clear;lines(0); sp=sparse([1,2;4,5;3,10],[1,2,3]) [ij,v,mn]=spget(sp); for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/splin.man //==================================================== clear;lines(0); x=0:0.5:10;f=sin(x); d=splin(x,f); S=interp(0:0.1:10,x,f,d); plot2d(x',f',-1); plot2d((0:0.1:10)',S',2,'000') for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/spones.man //==================================================== clear;lines(0); A=sprand(10,12,0.1); sp=spones(A) B = A~=0 bool2s(B) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/sprand.man //==================================================== clear;lines(0); W=sprand(100,1000,0.001); for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/spzeros.man //==================================================== clear;lines(0); sum(spzeros(1000,1000)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/sqrt.man //==================================================== clear;lines(0); sqrt([2,4]) sqrt(-1) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/sqrtm.man //==================================================== clear;lines(0); x=[0 1;2 4] w=sqrtm(x); norm(w*w-x) x(1,2)=%i; w=sqrtm(x);norm(w*w-x,1) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/ssprint.man //==================================================== clear;lines(0); a=[1 1;0 1];b=[0 1;1 0];c=[1,1];d=[3,2]; ssprint(syslin('c',a,b,c,d)) ssprint(syslin('d',a,b,c,d)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/ssrand.man //==================================================== clear;lines(0); //flag=list('st',dim_cont_subs,dim_stab_subs,dim_stab0) //dim_cont_subs<=dim_stab_subs<=dim_stab0 //pair (A,B) U-similar to: // [*,*,*,*; [*; // [0,s,*,*; [0; //A= [0,0,i,*; B=[0; // [0,0,0,u] [0] // // (A11,B1) controllable s=stable matrix i=neutral matrix u=unstable matrix [Sl,U]=ssrand(2,3,8,list('st',2,5,5)); w=ss2ss(Sl,inv(U)); //undo the random change of basis => form as above [n,nc,u,sl]=st_ility(Sl);n,nc for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/st_deviation.man //==================================================== clear;lines(0); A=[1,2,10;7,7.1,7.01]; st_deviation(A) st_deviation(A,'r') st_deviation(A,'c') for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/strcat.man //==================================================== clear;lines(0); strcat(string(1:10),',') for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/strindex.man //==================================================== clear;lines(0); k=strindex('SCI/demos/scicos','/') k=strindex('SCI/demos/scicos','SCI/') k=strindex('SCI/demos/scicos','!') k=strindex('aaaaa','aa') k=strindex('SCI/demos/scicos',['SCI','sci']) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/stripblanks.man //==================================================== clear;lines(0); a=' 123 '; '!'+a+'!' '!'+stripblanks(a)+'!' a=[' 123 ',' xyz'] strcat(stripblanks(a)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/strsubst.man //==================================================== clear;lines(0); strsubst('SCI/demos/scicos','SCI','.') strsubst('SCI/demos/scicos','/',' ') for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/subf.man //==================================================== clear;lines(0); subf('0','a') subf('2','1') subf('a','0') for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/sum.man //==================================================== clear;lines(0); A=[1,2;3,4]; trace(A)-sum(diag(A)) sum(A,'c')-A*ones(2,1) sum(A+%i) A=sparse(A);sum(A,'c')-A*ones(2,1) s=poly(0,'s'); M=[s,%i+s;s^2,1]; sum(M),sum(M,2) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/sysconv.man //==================================================== clear;lines(0); s1=ssrand(1,1,2); s2=ss2tf(s1); [s1,s2]=sysconv(s1,s2); for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/sysdiag.man //==================================================== clear;lines(0); s=poly(0,'s') sysdiag(rand(2,2),1/(s+1),[1/(s-1);1/((s-2)*(s-3))]) sysdiag(tf2ss(1/s),1/(s+1),[1/(s-1);1/((s-2)*(s-3))]) s=poly(0,'s') sysdiag(rand(2,2),1/(s+1),[1/(s-1);1/((s-2)*(s-3))]) sysdiag(tf2ss(1/s),1/(s+1),[1/(s-1);1/((s-2)*(s-3))]) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/syslin.man //==================================================== clear;lines(0); A=[0,1;0,0];B=[1;1];C=[1,1]; S1=syslin('c',A,B,C) //Linear system definition S1("A") //Display of A-matrix S1("X0"), S1("dt") // Display of X0 and time domain s=poly(0,'s'); D=s; S2=syslin('c',A,B,C,D) H1=(1+2*s)/s^2, S1bis=syslin('c',H1) H2=(1+2*s+s^3)/s^2, S2bis=syslin('c',H2) S1+S2 [S1,S2] ss2tf(S1)-S1bis S1bis+S2bis S1*S2bis size(S1) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/tan.man //==================================================== clear;lines(0); x=[1,%i,-1,-%i] tan(x) sin(x)./cos(x) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/tanh.man //==================================================== clear;lines(0); x=[1,%i,-1,-%i] tanh(x) sinh(x)./cosh(x) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/tanhm.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/tanm.man //==================================================== clear;lines(0); A=[1,2;3,4]; tanm(A) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/timer.man //==================================================== clear;lines(0); timer();A=rand(100,100);timer() for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/toeplitz.man //==================================================== clear;lines(0); A=toeplitz(1:5); // T=toeplitz(1:5,1:2:7);T1=[1 3 5 7;2 1 3 5;3 2 1 3;4 3 2 1;5 4 3 2]; T-T1 // s=poly(0,'s'); t=toeplitz([s,s+1,s^2,1-s]); t1=[s,1+s,s*s,1-s;1+s,s,1+s,s*s;s*s,1+s,s,1+s;1-s,s*s,1+s,s] t-t1 // t=toeplitz(['1','2','3','4']); t1=['1','2','3','4';'2','1','2','3';'3','2','1','2';'4','3','2','1'] for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/trfmod.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/trianfml.man //==================================================== clear;lines(0); A=['1','2';'a','b'] W=trianfml([A,string(eye(2,2))]) U=W(:,3:4) a=5;b=6; A=evstr(A) U=evstr(U) U*A evstr(W(:,1:2)) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/tril.man //==================================================== clear;lines(0); s=poly(0,'s'); tril([s,s;s,1]) tril([1/s,1/s;1/s,1]) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/trisolve.man //==================================================== clear;lines(0); A=['x','y';'0','z'];b=['0';'1']; w=trisolve(A,b) x=5;y=2;z=4; evstr(w) inv(evstr(A))*evstr(b) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/triu.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/typeof.man //==================================================== clear;lines(0); typeof(1) typeof(poly(0,'x')) typeof(1/poly(0,'x')) typeof(%t) w=sprand(100,100,0.001); typeof(w) typeof(w==w) deff('y=f(x)','y=2*x'); typeof(f) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/unsetmenu.man //==================================================== clear;lines(0); //addmenu('foo') //unsetmenu('foo') //unsetmenu('File',2) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/x_choices.man //==================================================== clear;lines(0); l1=list('choice 1',1,['toggle c1','toggle c2','toggle c3']); l2=list('choice 2',2,['toggle d1','toggle d2','toggle d3']); l3=list('choice 3',3,['toggle e1','toggle e2']); rep=x_choices('Toggle Menu',list(l1,l2,l3)); for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/x_choose.man //==================================================== clear;lines(0); n=x_choose(['item1';'item2';'item3'],['that is a comment';'for the dialog']) n=x_choose(['item1';'item2';'item3'],['that is a comment'],'Return') for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/x_dialog.man //==================================================== clear;lines(0); //gain=evstr(x_dialog('value of gain ?','0.235')) //x_dialog(['Method';'enter sampling period'],'1') //m=evstr(x_dialog('enter a 3x3 matrix ',['[0 0 0';'0 0 0';'0 0 0]'])) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/x_matrix.man //==================================================== clear;lines(0); //m=evstr(x_matrix('enter a 3x3 matrix ',rand(3,3))) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/x_mdialog.man //==================================================== clear;lines(0); txt=['magnitude';'frequency';'phase ']; sig=x_mdialog('enter sine signal',txt,['1';'10';'0']) mag=evstr(sig(1)) frq=evstr(sig(2)) ph=evstr(sig(3)) rep=x_mdialog(['System Simulation';'with PI regulator'],... ['P gain';'I gain '],[' ';' ']) n=5;m=4;mat=rand(n,m); row='row';labelv=row(ones(1,n))+string(1:n) col='col';labelh=col(ones(1,m))+string(1:m) new=evstr(x_mdialog('Matrix to edit',labelv,labelh,string(mat))) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/x_message.man //==================================================== clear;lines(0); gain=0.235;x_message('value of gain is :'+string(gain)) x_message(['singular matrix';'use least squares']) r=x_message(['Your problem is ill conditioned'; 'continue ?'],['Yes','No']) for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/xgetfile.man //==================================================== clear;lines(0); xgetfile() xgetfile('*.sci','SCI/macros/xdess') xgetfile(title='Choose a file name ') for k=winsid(),xdel(k);end //==================================================== // ../man/elementary/zeros.man //==================================================== clear;lines(0); zeros(3) zeros(3,3) for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/Graphics.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/Matplot.man //==================================================== clear;lines(0); Matplot([1,2,3;4,5,6]) // draw the colormap Matplot((1:xget("lastpattern"))) for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/Sfgrayplot.man //==================================================== clear;lines(0); Sfgrayplot() for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/Sgrayplot.man //==================================================== clear;lines(0); Sgrayplot() for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/addcolor.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/black.man //==================================================== clear;lines(0); s=poly(0,'s') h=syslin('c',(s^2+2*0.9*10*s+100)/(s^2+2*0.3*10.1*s+102.01)) chart(); sstr='(s^2+2*0.9*10*s+100)/(s^2+2*0.3*10.1*s+102.01)'; black(h,0.01,100,sstr); h1=h*syslin('c',(s^2+2*0.1*15.1*s+228.01)/(s^2+2*0.9*15*s+225)) xbasc() black([h1;h],0.01,100,['h1';'h']) for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/bode.man //==================================================== clear;lines(0); s=poly(0,'s') h=syslin('c',(s^2+2*0.9*10*s+100)/(s^2+2*0.3*10.1*s+102.01)) title='(s^2+2*0.9*10*s+100)/(s^2+2*0.3*10.1*s+102.01)'; bode(h,0.01,100,title); h1=h*syslin('c',(s^2+2*0.1*15.1*s+228.01)/(s^2+2*0.9*15*s+225)) xbasc() bode([h1;h],0.01,100,['h1';'h']) for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/champ.man //==================================================== clear;lines(0); // using rect has graphic boundaries champ(-5:5,-5:5,rand(11,11),rand(11,11),1,[-10,-10,10,10],"011"); xgrid(); xbasc(); // using (x,y) to get boundaries champ(-5:5,-5:5,rand(11,11),rand(11,11),2,[-10,-10,10,10],"021"); // using coloured arrows xset("use color",1) champ1(-5:5,-5:5,rand(11,11),rand(11,11),2,[-10,-10,10,10],"021"); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/champ1.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/chart.man //==================================================== clear;lines(0); s=poly(0,'s') h=syslin('c',(s^2+2*0.9*10*s+100)/(s^2+2*0.3*10.1*s+102.01)) black(h,0.01,100,'(s^2+2*0.9*10*s+100)/(s^2+2*0.3*10.1*s+102.01)') chart(list(1,0,2,3)); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/colormap.man //==================================================== clear;lines(0); m=228; n = fix(3/8*m); r = [(1:n)'/n; ones(m-n,1)]; g = [zeros(n,1); (1:n)'/n; ones(m-2*n,1)]; b = [zeros(2*n,1); (1:m-2*n)'/(m-2*n)]; h = [r g b]; xset('colormap',h); plot3d1() for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/contour.man //==================================================== clear;lines(0); contour2d(1:10,1:10,rand(10,10),5,1:5,"011"," ",[0,0,11,11]); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/contour2d.man //==================================================== clear;lines(0); contour2d(1:10,1:10,rand(10,10),5,1:5,"011"," ",[0,0,11,11]); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/driver.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/edit_curv.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/errbar.man //==================================================== clear;lines(0); x=0:0.1:2*%pi; y=[sin(x);cos(x)]';x=[x;x]';plot2d(x,y); errbar(x,y,0.05*ones(x),0.03*ones(x)); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/eval3d.man //==================================================== clear;lines(0); x=-5:5;y=x; deff('[z]=f(x,y)',['z= x.*y']); z=eval3d(f,x,y); plot3d(x,y,z); // deff('[z]=f(x,y)',['z= x*y']); z=feval(x,y,f); plot3d(x,y,z); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/eval3dp.man //==================================================== clear;lines(0); p1=linspace(0,2*%pi,10); p2=linspace(0,2*%pi,10); deff('[x,y,z]=scp(p1,p2)',['x=p1.*sin(p1).*cos(p2)'; 'y=p1.*cos(p1).*cos(p2)'; 'z=p1.*sin(p2)']) [x,y,z]=eval3dp(scp,p1,p2); plot3d(x,y,z) for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/evans.man //==================================================== clear;lines(0); H=syslin('c',352*poly(-5,'s')/poly([0,0,2000,200,25,1],'s','c')); evans(H,100) P=3.0548543 - 8.8491842*%i; //P=selected point k=-1/real(horner(H,P)); Ns=H('num');Ds=H('den'); roots(Ds+k*Ns) //contains P as particular root // Another one xbasc();s=poly(0,'s');n=1+s; d=real(poly([-1 -2 -%i %i],'s')); evans(n,d,100); // xbasc();n=real(poly([0.1-%i 0.1+%i,-10],'s')); evans(n,d,80); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/fac3d.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/fchamp.man //==================================================== clear;lines(0); deff('[xdot] = derpol(t,x)',['xd1 = x(2)'; "xd2 = -x(1) + (1 - x(1)**2)*x(2)"; "xdot = [ xd1 ; xd2 ]"]); xf= -1:0.1:1; yf= -1:0.1:1; fchamp(derpol,0,xf,yf); xbasc(); fchamp(derpol,0,xf,yf,1,[-2,-2,2,2],"011"); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/fcontour.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/fcontour2d.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/fec.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/fgrayplot.man //==================================================== clear;lines(0); deff('[z]=surf(x,y)','z=x**2+y**2'); fgrayplot(-1:0.1:1,-1:0.1:1,surf,"111",[-2,-2,2,2]); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/fplot2d.man //==================================================== clear;lines(0); deff("[y]=f(x)","y=sin(x)+cos(x)"); fplot2d((0:0.1:10)*%pi/10,f); fplot2d((0:0.1:10)*%pi/10,f,5); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/fplot3d.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/fplot3d1.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/gainplot.man //==================================================== clear;lines(0); s=poly(0,'s') h=syslin('c',(s^2+2*0.9*10*s+100)/(s^2+2*0.3*10.1*s+102.01)) gainplot(h,0.01,100,'(s^2+2*0.9*10*s+100)/(s^2+2*0.3*10.1*s+102.01)') xbasc() h1=h*syslin('c',(s^2+2*0.1*15.1*s+228.01)/(s^2+2*0.9*15*s+225)) gainplot([h1;h],0.01,100,['h1';'h']) for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/genfac3d.man //==================================================== clear;lines(0); t = linspace(0,2*%pi,10); zmat=sin(t')*cos(t); plot3d(t,t,zmat) [xx,yy,zz]=genfac3d(t,t,zmat); plot3d(xx,yy,zz) plot3d([xx xx],[yy yy],[zz 4+zz]) for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/geom3d.man //==================================================== clear;lines(0); deff("[z]=surf(x,y)","z=sin(x)*cos(y)"); t=%pi*(-10:10)/10; fplot3d(t,t,surf,35,45,"X@Y@Z"); //Gives a plot3d //now (t,t,sin(t).*cos(t) ) is a curve on the surface //which can be drawn using param3d or the following code [x,y]=geom3d(t,t,sin(t).*cos(t)); xpoly(x,y,"lines") //adding a comment [x,y]=geom3d([0,0],[0,0],[5,0]); xsegs(x,y); xstring(x(1),y(1)," The point (0,0,0)"); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/getcolor.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/getsymbol.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/gr_menu.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/graduate.man //==================================================== clear;lines(0); y=(0:0.33:145.78)'; xbasc();plot2d1('enn',0,y) [ymn,ymx,np]=graduate(mini(y),maxi(y)) rect=[1,ymn,prod(size(y)),ymx]; xbasc();plot2d1('enn',0,y,1,'011',' ',rect,[10,3,10,np]) for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/graycolormap.man //==================================================== clear;lines(0); xset('colormap',graycolormap(32)) plot3d1() for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/grayplot.man //==================================================== clear;lines(0); x=-10:10;y=-10:10;m=rand(21,21); grayplot(x,y,m,"111",[-20,-20,20,20]); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/hist3d.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/histplot.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/hotcolormap.man //==================================================== clear;lines(0); xset('colormap',hotcolormap(32)) plot3d1() for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/isoview.man //==================================================== clear;lines(0); xbasc(); t=(0:0.1:2*%pi)'; isoview(-1,1,-1,1); plot2d(sin(t),cos(t),1,'001') for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/locate.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/m_circle.man //==================================================== clear;lines(0); //Example 1 : s=poly(0,'s') h=syslin('c',(s^2+2*0.9*10*s+100)/(s^2+2*0.3*10.1*s+102.01)) nyquist(h,0.01,100,'(s^2+2*0.9*10*s+100)/(s^2+2*0.3*10.1*s+102.01)') m_circle(); //Example 2: xbasc(); h1=h*syslin('c',(s^2+2*0.1*15.1*s+228.01)/(s^2+2*0.9*15*s+225)) nyquist([h1;h],0.01,100,['h1';'h']) m_circle([-8 -6 -4]); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/milk_drop.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/nyquist.man //==================================================== clear;lines(0); xbasc(); s=poly(0,'s'); h=syslin('c',(s^2+2*0.9*10*s+100)/(s^2+2*0.3*10.1*s+102.01)); comm='(s^2+2*0.9*10*s+100)/(s^2+2*0.3*10.1*s+102.01)'; nyquist(h,0.01,100,comm); h1=h*syslin('c',(s^2+2*0.1*15.1*s+228.01)/(s^2+2*0.9*15*s+225)) xbasc(); nyquist([h1;h],0.01,100,['h1';'h']) xbasc();nyquist([h1;h]) for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/param3d.man //==================================================== clear;lines(0); t=0:0.1:5*%pi; param3d(sin(t),cos(t),t/10,35,45,"X@Y@Z",[2,3]) xbasc(); xset("dashes",3) param3d(rand(1,100),rand(1,100),rand(1,100),35,45,"X@Y@Z",[2,3]) for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/param3d1.man //==================================================== clear;lines(0); t=0:0.1:5*%pi; t=t'; param3d1([sin(t),sin(2*t)],[cos(t),cos(2*t)],... list([t/10,sin(t)],[3,2]),35,45,"X@Y@Z",[2,3]) for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/param3di.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/plot.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/plot2d.man //==================================================== clear;lines(0); x=0:0.1:2*%pi; //simple plot plot2d(sin(x)); //multiple plot xbasc(); plot2d([x;x;x]',[sin(x);sin(2*x);sin(3*x)]'); //multiple plot with captions xbasc(); plot2d([x;x;x]',[sin(x);sin(2*x);sin(3*x)]',... [1,2,3],"111","L1@L2@L3",[0,-2,2*%pi,2],[2,10,2,10]); // isoview xbasc(); plot2d(x',sin(x)',1,'041') // auto scale xbasc(); plot2d(x',sin(x)',1,'061') for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/plot2d1.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/plot2d2.man //==================================================== clear;lines(0); plot2d2("gnn",(1:4)',(1:4)',1,'111','step function',[0,0,5,5]) for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/plot2d3.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/plot2d4.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/plot3d.man //==================================================== clear;lines(0); plot3d(1:10,1:20,10*rand(10,20),35,45,"X@Y@Z",[2,2,3]) xbasc(); t=(0:0.3:2*%pi)';zmat=sin(t)*cos(t'); [xx,yy,zz]=genfac3d(t,t,zmat); plot3d([xx xx],[yy yy],[zz 4+zz]); xbasc(); plot3d([xx xx],[yy yy],list([zz zz+4],[4*ones(1,400) 5*ones(1,400)])) for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/plot3d1.man //==================================================== clear;lines(0); plot3d1(1:10,1:20,10*rand(10,20),35,45,"X@Y@Z",[2,2,3]); xbasc(); plot3d1(1:10,1:20,10*rand(10,20),35,45,"X@Y@Z",[-2,2,3]); xbasc(); t=(0:0.3:2*%pi)';zmat=sin(t)*cos(t'); [xx,yy,zz]=genfac3d(t,t,zmat); plot3d1([xx xx],[yy yy],[zz 4+zz]); xbasc(); plot3d1([xx xx],[yy yy],list([zz zz+4],[4*ones(1,400) 5*ones(1,400)])) for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/plotframe.man //==================================================== clear;lines(0); x=[-0.3:0.8:27.3]'; y=rand(x); rect=[min(x),min(y),max(x),max(y)]; tics=[4,10,2,5]; //4 x-intervals and 2 y-intervals plotframe(rect,tics,[%f,%f],['My plot','x','y'],[0,0,0.5,0.5]); plot2d(x,y,2,'000') plotframe(rect,tics,[%t,%f],['My plot with grids','x','y'],[0.5,0,0.5,0.5]); plot2d(x,y,3,'000') plotframe(rect,tics,[%t,%t],... ['My plot with grids and automatic bounds','x','y'],[0,0.5,0.5,0.5]); plot2d(x,y,4,'000') plotframe(rect,tics,[%f,%t],... ['My plot without grids but with automatic bounds','x','y'],... [0.5,0.5,0.5,0.5]); plot2d(x,y,5,'000'); xset('default'); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/plzr.man //==================================================== clear;lines(0); s=poly(0,'s'); n=[1+s 2+3*s+4*s^2 5; 0 1-s s]; d=[1+3*s 5-s^3 s+1;1+s 1+s+s^2 3*s-1]; h=syslin('c',n./d); plzr(h); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/printing.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/rotate.man //==================================================== clear;lines(0); xsetech([0,0,1,1],[-1,-1,1,1]) xy=[(0:0.1:10);sin(0:0.1:10)]/10; for i=2*%pi*(0:10)/10,[xy1]=rotate(xy,i); xpoly(xy1(1,:),xy1(2,:),"lines") end for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/scaling.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/sd2sci.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/secto3d.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/sgrid.man //==================================================== clear;lines(0); H=syslin('c',352*poly(-5,'s')/poly([0,0,2000,200,25,1],'s','c')); evans(H,100) sgrid() sgrid(0.6,2,7) for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/square.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/titlepage.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/winsid.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xarc.man //==================================================== clear;lines(0); // isoview scaling plot2d(0,0,-1,"031"," ",[-2,-2,2,2]) xset("dashes",3); xarc(-1,1,2,2,0,90*64) xarc(-1.5,1.5,3,3,0,360*64) for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xarcs.man //==================================================== clear;lines(0); plot2d(0,0,-1,"031",' ',[-1,-1,1,1]) set_arcs=[ -1.0 0.0 0.5 // upper left x 1.0 0.0 0.5 // upper left y 0.5 0.5 0.5 // widths 0.5 0.5 0.5 // height 0.0 0.0 0.0 // angle 1 360*64 360*64 360*64] // angle 2 xarcs(set_arcs,[1,2,3]) for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xarrows.man //==================================================== clear;lines(0); x=2*%pi*(0:9)/8; x1=[sin(x);9*sin(x)]; y1=[cos(x);9*cos(x)]; plot2d([-10,10],[-10,10],[-1,-1],"022"); xset('clipgrf') xarrows(x1,y1,1,1:10); xset('clipoff') for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xaxis.man //==================================================== clear;lines(0); plot2d((1:0.1:10),sin(1:0.1:10)) xaxis(-90,[2,5],[0.1,0.1,2],[8,0]) xaxis(0,[2,3],[0.5,0.1,2],[5,0]) for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xbasc.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xbasimp.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xbasr.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xchange.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xclea.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xclear.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xclick.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xclip.man //==================================================== clear;lines(0); x=0:0.2:2*%pi; x1=[sin(x);100*sin(x)]; y1=[cos(x);100*cos(x)]; y1=y1+20*ones(y1); // No clip plot2d([-100,500],[-100,600],[-1,-1],"022"); xsegs(10*x1+200*ones(x1),10*y1+200*ones(y1)); xbasc() // // Rect clip xbasc();plot2d([-100,500],[-100,600],[-1,-1],"022"); xrect(150,460,100,150); xclip(150,460,100,150); xsegs(10*x1+200*ones(x1),10*y1+200*ones(y1)); // // usual graphic rectangle clip xbasc();plot2d([-100,500],[-100,600],[-1,-1],"022"); xclip("clipgrf"); xsegs(10*x1+200*ones(x1),10*y1+200*ones(y1)); // clipping off xclip() for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xdel.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xend.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xfarc.man //==================================================== clear;lines(0); // isoview scaling plot2d(0,0,-1,"031"," ",[-2,-2,2,2]) xfarc(-0.5,0.5,1,1,0,90*64) xset("pattern",2) xfarc(0.5,0.5,1,1,0,360*64) for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xfarcs.man //==================================================== clear;lines(0); plot2d(0,0,-1,"031",' ',[-1,-1,1,1]) set_arcs=[ -1.0 0.0 0.5 // upper left x 1.0 0.0 0.5 // upper left y 0.5 0.5 0.5 // widths 0.5 0.5 0.5 // height 0.0 0.0 0.0 // angle 1 360*64 360*64 360*64] // angle 2 xfarcs(set_arcs,[1,2,3]) for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xfpoly.man //==================================================== clear;lines(0); x=sin(2*%pi*(0:5)/5); y=cos(2*%pi*(0:5)/5); plot2d(0,0,-1,"010"," ",[-2,-2,2,2]) xset("pattern",5); xfpoly(x,y) xset("default"); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xfpolys.man //==================================================== clear;lines(0); plot2d(0,0,[-1],"012"," ",[0,-10,210,40]); x1=[0,10,20,30,20,10,0]; y1=[15,30,30,15,0,0,15]; xpols=[x1;x1;x1;x1]';xpols=xpols + [0,60,120,180].*.ones(x1)'; ypols=[y1;y1;y1;y1]'; lpat=xget("lastpattern"); // setting the current dash (or line color) xset("dashes",5); xfpolys(xpols,ypols,[-1,0,1,2]); xset("default"); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xfrect.man //==================================================== clear;lines(0); plot2d(0,0,-1,"010"," ",[-2,-2,2,2]) xset("pattern",5); xfrect(-1,1,2,2) xset("default"); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xget.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xgetech.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xgetmouse.man //==================================================== clear;lines(0); xselect();xbasc(); xsetech([0 0 1 1],[0 0 100 100]) xset('alufunction',6) xtitle(' drawing a rectangle '); [b,x0,y0]=xclick();rep=[x0,y0,-1];x=x0;y=y0 xrect(x0,y0,x-x0,y-y0); while rep(3)==-1 then rep=xgetmouse(0); xrect(x0,y0,x-x0,y0-y); x=rep(1);y=rep(2); xrect(x0,y0,x-x0,y0-y); end xset('alufunction',3) for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xgrid.man //==================================================== clear;lines(0); plot2d() xgrid() for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xinfo.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xinit.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xlfont.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xload.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xnumb.man //==================================================== clear;lines(0); plot2d([-100,500],[-100,600],[-1,-1],"022"); x=0:100:200; xnumb(x,500*ones(x),[10,20,35],1); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xpause.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xpoly.man //==================================================== clear;lines(0); x=sin(2*%pi*(0:5)/5); y=cos(2*%pi*(0:5)/5); plot2d(0,0,-1,"010"," ",[-2,-2,2,2]) xset("dashes",5); xpoly(x,y,"lines",1); xset("default"); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xpolys.man //==================================================== clear;lines(0); plot2d(0,0,[-1],"012"," ",[0,0,1,1]); rand('uniform'); xset('pattern',3) xpolys(rand(3,5),rand(3,5),[-1,-2,0,1,2]) xset('default') for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xrect.man //==================================================== clear;lines(0); plot2d(0,0,-1,"010"," ",[-2,-2,2,2]) xset("pattern",5); xrect(-1,1,2,2) xset("default"); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xrects.man //==================================================== clear;lines(0); plot2d([-100,500],[-50,50],[-1,-1],"022"); cols=[-34,-33,-32,-20:5:20,32,33,34]; step=20; x=400*(0:14)/14 step = (x(2)-x(1))/2 rects=[x;10*ones(x);step*ones(x);30*ones(x)]; xrects(rects,cols); xnumb(x,15*ones(x),cols); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xrpoly.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xs2fig.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xsave.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xsegs.man //==================================================== clear;lines(0); x=2*%pi*(0:9)/8; x1=[sin(x);9*sin(x)]; y1=[cos(x);9*cos(x)]; plot2d([-10,10],[-10,10],[-1,-1],"022"); xset('clipgrf') xsegs(x1,y1,1:10); xset('clipoff') for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xselect.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xset.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xsetech.man //==================================================== clear;lines(0); //In this first example xsetech is used to split the graphic window //in two parts // xsetech is used to fix the first sub window // and the graphic scale xsetech([0,0,1.0,0.5],[-5,-3,5,3]); // then we call plot2d with the "001" option to use the graphic scale // set by xsetech plot2d((1:10)',(1:10)',1,"001",' '); // xsetech is used to fix the second sub window xsetech([0,0.5,1.0,0.5]); // the graphic scale is set by xsetech to [0,0,1,1] by default // and we change it with the use of the rect argument in plot2d plot2d((1:10)',(1:10)',1,"011",' ',[-6,-6,6,6]); //A second example with four graphics on a single graphic window xset("font',2,0); xsetech([0,0,0.5,0.5]);plot3d(); xsetech([0.5,0,0.5,0.5]);plot2d(); xsetech([0.5,0.5,0.5,0.5]);grayplot(); xsetech([0,0.5,0.5,0.5]);histplot(); // back to default values for the sub window xsetech([0,0,1,1]); xset("default'); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xsetm.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xstring.man //==================================================== clear;lines(0); plot2d([0;1],[0;1],0) xstring(0.5,0.5,["Scilab","is" ; "Not","Basilc"]) //Other example alphabet=['a ','b ','c ','d ','e ','f ','g ',... 'h ','i ','j ','k ','l ','m ','n ',... 'o ','p ','q ','r ','s ','t ','u ',... 'v ', 'w ','x ','y ','z ']; xset('default'); //default graphic parameters xset("window",1); //set window number to 1 xclear(); plot2d([0;1],[0;2],0); xstring(0.1,1.8,alphabet) //alphabet xstring(0.1,1.6,alphabet,20) //angle xset("font",1,1) //symbol fonts xstring(0.1,0.1,alphabet) xset('font',1,3) //change size font xstring(0.1,0.3,alphabet) xset('font',1,24);xstring(0.1,0.6,'a'); //big alpha xset('default') for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xstringb.man //==================================================== clear;lines(0); mat=['Scilab','is';'not','balicS']; plot2d(0,0,[-1,1],'010',' ',[0,0,1,1]); r=[0,0,1,0.5]; xstringb(r(1),r(2),mat,r(3),r(4),'fill'); xrect(r(1),r(2)+r(4),r(3),r(4)) r=[r(1),r(2)+r(4)+0.01,r(3),r(4)/2]; xrect(r(1),r(2)+r(4),r(3),r(4)) xstringb(r(1),r(2),mat,r(3),r(4),'fill'); r=[r(1),r(2)+r(4)+0.01,r(3),r(4)/2]; xrect(r(1),r(2)+r(4),r(3),r(4)) xstringb(r(1),r(2),mat,r(3),r(4),'fill'); for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xstringl.man //==================================================== clear;lines(0); plot2d([0;1],[0;1]) rect=xstringl(0.5,0.5,["Scilab","is" ; "not","balicS"]) for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xtape.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/xtitle.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/graphics/zgrid.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/linear/aff2ab.man //==================================================== clear;lines(0); // Lyapunov equation solver (one unknown variable, one constraint) deff('Y=lyapunov(X,D)','[A,Q]=D(:);Xm=X(:); Y=list(A''*Xm+Xm*A-Q)') A=rand(3,3);Q=rand(3,3);Q=Q+Q';D=list(A,Q);dimX=[3,3]; [Aly,bly]=aff2ab(lyapunov,dimX,D); [Xl,kerA]=linsolve(Aly,bly); Xv=vec2list(Xl,dimX); lyapunov(Xv,D) Xm=Xv(:); A'*Xm+Xm*A-Q // Lyapunov equation solver with redundant constraint X=X' // (one variable, two constraints) D is global variable deff('Y=ly2(X,D)','[A,Q]=D(:);Xm=X(:); Y=list(A''*Xm+Xm*A-Q,Xm''-Xm)') A=rand(3,3);Q=rand(3,3);Q=Q+Q';D=list(A,Q);dimX=[3,3]; [Aly,bly]=aff2ab(ly2,dimX,D); [Xl,kerA]=linsolve(Aly,bly); Xv=vec2list(Xl,dimX); ly2(Xv,D) // Francis equations // Find matrices X1 and X2 such that: // A1*X1 - X1*A2 + B*X2 -A3 = 0 // D1*X1 -D2 = 0 deff('Y=bruce(X,D)','[A1,A2,A3,B,D1,D2]=D(:),... [X1,X2]=X(:);Y=list(A1*X1-X1*A2+B*X2-A3,D1*X1-D2)') A1=[-4,10;-1,2];A3=[1;2];B=[0;1];A2=1;D1=[0,1];D2=1; D=list(A1,A2,A3,B,D1,D2); [n1,m1]=size(A1);[n2,m2]=size(A2);[n3,m3]=size(B); dimX=[[m1,n2];[m3,m2]]; [Af,bf]=aff2ab(bruce,dimX,D); [Xf,KerAf]=linsolve(Af,bf);Xsol=vec2list(Xf,dimX) bruce(Xsol,D) // Find all X which commute with A deff('y=f(X,D)','y=list(D(:)*X(:)-X(:)*D(:))') A=rand(3,3);dimX=[3,3];[Af,bf]=aff2ab(f,dimX,list(A)); [Xf,KerAf]=linsolve(Af,bf);[p,q]=size(KerAf); Xsol=vec2list(Xf+KerAf*rand(q,1),dimX); C=Xsol(:); A*C-C*A for k=winsid(),xdel(k);end //==================================================== // ../man/linear/balanc.man //==================================================== clear;lines(0); A=[1/2^10,1/2^10;2^10,2^10]; [Ab,X]=balanc(A); norm(A(1,:))/norm(A(2,:)) norm(Ab(1,:))/norm(Ab(2,:)) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/bdiag.man //==================================================== clear;lines(0); //Real case: 1x1 and 2x2 blocks a=rand(5,5);[ab,x,bs]=bdiag(a);ab //Complex case: complex 1x1 blocks [ab,x,bs]=bdiag(a+%i*0);ab for k=winsid(),xdel(k);end //==================================================== // ../man/linear/chfact.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/linear/chol.man //==================================================== clear;lines(0); W=rand(5,5)+%i*rand(5,5); X=W*W'; R=chol(X); norm(R'*R-X) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/chsolve.man //==================================================== clear;lines(0); A=sprand(20,20,0.1); A=A*A'+eye(); spcho=chfact(A); sol=(1:20)';rhs=A*sol; spcho=chfact(A); chsolve(spcho,rhs) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/coff.man //==================================================== clear;lines(0); M=[1,2;0,3]; [N,d]=coff(M) N/d inv(%s*eye()-M) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/colcomp.man //==================================================== clear;lines(0); A=rand(5,2)*rand(2,5); [X,r]=colcomp(A); norm(A*X(:,1:$-r),1) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/companion.man //==================================================== clear;lines(0); s=poly(0,'s'); p=poly([1,2,3,4,1],'s','c') det(s*eye()-companion(p)) roots(p) spec(companion(p)) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/cond.man //==================================================== clear;lines(0); A=testmatrix('hilb',6); cond(A) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/det.man //==================================================== clear;lines(0); x=poly(0,'x'); det([x,1+x;2-x,x^2]) w=ssrand(2,2,4);roots(det(systmat(w))),trzeros(w) //zeros of linear system A=rand(3,3); det(A), prod(spec(A)) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/ereduc.man //==================================================== clear;lines(0); X=[1 2 3;4 5 6] [E,Q,Z ,stair ,rk]=ereduc(X,1.d-15) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/exp.man //==================================================== clear;lines(0); x=[1,2,3+%i]; log(exp(x)) //element-wise 2^x exp(x*log(2)) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/expm.man //==================================================== clear;lines(0); X=[1 2;3 4] expm(X) logm(expm(X)) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/fstair.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/linear/fullrf.man //==================================================== clear;lines(0); A=rand(5,2)*rand(2,5); [Q,M]=fullrf(A); norm(Q*M-A,1) [X,d]=rowcomp(A);Y=X'; svd([A,Y(:,1:d),Q]) //span(Q) = span(A) = span(Y(:,1:2)) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/fullrfk.man //==================================================== clear;lines(0); A=rand(5,2)*rand(2,5);[Bk,Ck]=fullrfk(A,3); norm(Bk*Ck-A^3,1) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/givens.man //==================================================== clear;lines(0); A=[3,4;5,6]; U=givens(A(:,1)); U*A for k=winsid(),xdel(k);end //==================================================== // ../man/linear/glever.man //==================================================== clear;lines(0); s=%s;F=[-1,s,0,0;0,-1,0,0;0,0,s-2,0;0,0,0,s-1]; [Bfs,Bis,chis]=glever(F) inv(F)-((Bfs/chis) - Bis) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/gschur.man //==================================================== clear;lines(0); s=%s; F=[-1,s,0,0;0,-1,0,0;0,0,2+s,0;0,0,0,-2+s]; roots(det(F)) [E,A]=pen2ea(F); [As,Es,Z,dim] = gschur(A,E,'c') // Other example a=rand(4,4);b=rand(4,4);[as,bs,qs,zs]=gschur(a,b); norm(qs*a*zs-as) norm(qs*b*zs-bs ) clear a; a(8,8)=2;a(1,8)=1;a(2,[2,3,4,5])=[0.3,0.2,4,6];a(3,[2,3])=[-0.2,.3]; a(3,7)=.5; a(4,4)=.5;a(4,6)=2;a(5,5)=1;a(6,6)=4;a(6,7)=2.5;a(7,6)=-10;a(7,7)=4; b=eye(8,8);b(5,5)=0; [al,be]=gspec(a,b); [bs,as,q,n]=gschur(b,a,'disc');n-4 for k=winsid(),xdel(k);end //==================================================== // ../man/linear/gspec.man //==================================================== clear;lines(0); A=rand(3,3); [al,be,Z] = gspec(A,eye(A));al./be clean(inv(Z)*A*Z) //displaying the eigenvalues (generic matrix) A=A+%i*rand(A);E=rand(A); roots(det(%s*E-A)) //complex case for k=winsid(),xdel(k);end //==================================================== // ../man/linear/hess.man //==================================================== clear;lines(0); A=rand(3,3);[U,H]=hess(A); and( abs(U*H*U'-A)<1.d-10 ) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/householder.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/linear/im_inv.man //==================================================== clear;lines(0); A=[rand(2,5);[zeros(3,4),rand(3,1)]];B=[[1,1;1,1];zeros(3,2)]; W=rand(5,5);A=W*A;B=W*B; [X,dim]=im_inv(A,B) svd([A*X(:,1:dim),B]) //vectors A*X(:,1:dim) belong to range(B) [X,dim,Y]=im_inv(A,B);[Y*A*X,Y*B] for k=winsid(),xdel(k);end //==================================================== // ../man/linear/inv.man //==================================================== clear;lines(0); A=rand(3,3);inv(A)*A // x=poly(0,'x'); A=[x,1,x;x^2,2,1+x;1,2,3];inv(A)*A // A=[1/x,2;2+x,2/(1+x)] inv(A)*A // A=ssrand(2,2,3); W=inv(A)*A clean(ss2tf(W)) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/kernel.man //==================================================== clear;lines(0); A=rand(3,1)*rand(1,3); A*kernel(A) A=sparse(A); clean(A*kernel(A)) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/kroneck.man //==================================================== clear;lines(0); F=randpencil([1,1,2],[2,3],[-1,3,1],[0,3]); Q=rand(17,17);Z=rand(18,18);F=Q*F*Z; //random pencil with eps1=1,eps2=1,eps3=1; 2 J-blocks @ infty //with dimensions 2 and 3 //3 finite eigenvalues at -1,3,1 and eta1=0,eta2=3 [Q,Z,Qd,Zd,numbeps,numbeta]=kroneck(F); [Qd(1),Zd(1)] //eps. part is sum(epsi) x (sum(epsi) + number of epsi) [Qd(2),Zd(2)] //infinity part [Qd(3),Zd(3)] //finite part [Qd(4),Zd(4)] //eta part is (sum(etai) + number(eta1)) x sum(etai) numbeps numbeta for k=winsid(),xdel(k);end //==================================================== // ../man/linear/linsolve.man //==================================================== clear;lines(0); A=rand(5,3)*rand(3,8); b=A*ones(8,1);[x,kerA]=linsolve(A,b);A*x+b //compatible b b=ones(5,1);[x,kerA]=linsolve(A,b);A*x+b //uncompatible b A=rand(5,5);[x,kerA]=linsolve(A,b), -inv(A)*b //x is unique for k=winsid(),xdel(k);end //==================================================== // ../man/linear/lu.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/linear/ludel.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/linear/lufact.man //==================================================== clear;lines(0); a=rand(5,5);b=rand(5,1);A=sparse(a); [h,rk]=lufact(A); x=lusolve(h,b);a*x-b ludel(h) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/luget.man //==================================================== clear;lines(0); a=rand(5,2)*rand(2,5);A=sparse(a); [ptr,rk]=lufact(A);[P,L,U,Q]=luget(ptr); full(L), P*L*U*Q-A clean(P*L*U*Q-A) ludel(ptr) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/lusolve.man //==================================================== clear;lines(0); non_zeros=[1,2,3,4];rows_cols=[1,1;2,2;3,3;4,4]; sp=sparse(rows_cols,non_zeros); [h,rk]=lufact(sp);x=lusolve(h,[1;1;1;1]);ludel(h) rk,sp*x non_zeros=[1,2,3,4];rows_cols=[1,1;2,2;3,3;4,4]; sp=sparse(rows_cols,non_zeros); x=lusolve(sp,-ones(4,1)); sp*x for k=winsid(),xdel(k);end //==================================================== // ../man/linear/lyap.man //==================================================== clear;lines(0); A=rand(4,4);C=rand(A);C=C+C'; X=lyap(A,C,'c'); A'*X + X*A -C X=lyap(A,C,'d'); A'*X*A - X -C for k=winsid(),xdel(k);end //==================================================== // ../man/linear/nlev.man //==================================================== clear;lines(0); A=rand(3,3);x=poly(0,'x'); [NUM,den]=nlev(A,'x') clean(den-poly(A,'x')) clean(NUM/den-inv(x*eye()-A)) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/orth.man //==================================================== clear;lines(0); A=rand(5,3)*rand(3,4); [X,dim]=rowcomp(A);X=X'; svd([orth(A),X(:,1:dim)]) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/pbig.man //==================================================== clear;lines(0); A=diag([1,2,3]);X=rand(A);A=inv(X)*A*X; [Q,M]=pbig(A,1.5,'d'); spec(M*A*Q) [Q1,M1]=fullrf(eye()-Q*M); spec(M1*A*Q1) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/pencan.man //==================================================== clear;lines(0); F=randpencil([],[1,2],[1,2,3],[]); F=rand(6,6)*F*rand(6,6); [Q,M,i1]=pencan(F); W=clean(M*F*Q) roots(det(W(1:i1,1:i1))) det(W($-2:$,$-2:$)) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/penlaur.man //==================================================== clear;lines(0); F=randpencil([],[1,2],[1,2,3],[]); F=rand(6,6)*F*rand(6,6);[E,A]=pen2ea(F); [Si,Pi,Di]=penlaur(F); [Bfs,Bis,chis]=glever(F); norm(coeff(Bis,1)-Di,1) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/pinv.man //==================================================== clear;lines(0); A=rand(5,2)*rand(2,4); norm(A*pinv(A)*A-A,1) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/polar.man //==================================================== clear;lines(0); A=rand(5,5); [Ro,Theta]=polar(A); norm(A-Ro*expm(%i*Theta),1) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/proj.man //==================================================== clear;lines(0); X1=rand(5,2);X2=rand(5,3); P=proj(X1,X2); norm(P^2-P,1) trace(P) // This is dim(X2) [Q,M]=fullrf(P); svd([Q,X2]) // span(Q) = span(X2) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/projspec.man //==================================================== clear;lines(0); deff('j=jdrn(n)','j=zeros(n,n);for k=1:n-1;j(k,k+1)=1;end') A=sysdiag(jdrn(3),jdrn(2),rand(2,2));X=rand(7,7); A=X*A*inv(X); [S,P,D,index]=projspec(A); index //size of J-block trace(P) //sum of dimensions of J-blocks A*S-(eye()-P) norm(D^index,1) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/psmall.man //==================================================== clear;lines(0); A=diag([1,2,3]);X=rand(A);A=inv(X)*A*X; [Q,M]=psmall(A,2.5,'d'); spec(M*A*Q) [Q1,M1]=fullrf(eye()-Q*M); spec(M1*A*Q1) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/qr.man //==================================================== clear;lines(0); A=rand(5,2)*rand(2,5); [Q,R,rk,E] = qr(A,1.d-10); norm(Q'*A-R) svd([A,Q(:,1:rk)]) //span(A) =span(Q(:,1:rk)) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/quaskro.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/linear/randpencil.man //==================================================== clear;lines(0); F=randpencil([0,1],[2],[-1,0,1],[3]); [Q,Z,Qd,Zd,numbeps,numbeta]=kroneck(F); Qd, Zd s=poly(0,'s'); F=randpencil([],[1,2],s^3-2,[]); //regular pencil det(F) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/range.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/linear/rank.man //==================================================== clear;lines(0); rank([1.d-80,0;0,1.d-80]) rank([1,0;0,1.d-80]) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/rcond.man //==================================================== clear;lines(0); A=diag([1:10]); rcond(A) A(1,1)=0.000001; rcond(A) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/rowcomp.man //==================================================== clear;lines(0); A=rand(5,2)*rand(2,4); // 4 col. vectors, 2 independent. [X,dim]=rowcomp(A);Xp=X'; svd([Xp(:,1:dim),A]) //span(A) = span(Xp(:,1:dim) x=A*rand(4,1); //x belongs to span(A) y=X*x norm(y(dim+1:$))/norm(y(1:dim)) // small for k=winsid(),xdel(k);end //==================================================== // ../man/linear/rowshuff.man //==================================================== clear;lines(0); F=randpencil([],[2],[1,2,3],[]); F=rand(5,5)*F*rand(5,5); // 5 x 5 regular pencil with 3 evals at 1,2,3 [Ws,F1]=rowshuff(F,-1); [E1,A1]=pen2ea(F1); svd(E1) //E1 non singular roots(det(Ws)) clean(inv(F)-inv(F1)*Ws,1.d-7) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/rref.man //==================================================== clear;lines(0); A=[1 2;3 4;5 6]; X=rref([A,eye(3,3)]); R=X(:,1:2) L=X(:,3:5);L*A for k=winsid(),xdel(k);end //==================================================== // ../man/linear/schur.man //==================================================== clear;lines(0); A=diag([-0.9,-2,2,0.9]);X=rand(A);A=inv(X)*A*X; [U,d]=schur(A,'c'); A1=U'*A*U; spec(A1(1:d,1:d)) //stable cont. eigenvalues [U,d]=schur(A,'c'); A1=U'*A*U; spec(A1(1:d,1:d)) //stable disc. eigenvalues for k=winsid(),xdel(k);end //==================================================== // ../man/linear/spaninter.man //==================================================== clear;lines(0); A=rand(5,3)*rand(3,4); // A is 5 x 4, rank=3 B=[A(:,2),rand(5,1)]*rand(2,2); [X,dim]=spaninter(A,B); X1=X(:,1:dim); //The intersection svd(A),svd([X1,A]) // X1 in span(A) svd(B),svd([B,X1]) // X1 in span(B) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/spanplus.man //==================================================== clear;lines(0); A=rand(6,2)*rand(2,5); // rank(A)=2 B=[A(:,1),rand(6,2)]*rand(3,3); //two additional independent vectors [X,dim,dimA]=spanplus(A,B); dimA dim for k=winsid(),xdel(k);end //==================================================== // ../man/linear/spantwo.man //==================================================== clear;lines(0); A=[1,0,0,4; 5,6,7,8; 0,0,11,12; 0,0,0,16]; B=[1,2,0,0]';C=[4,0,0,1]; Sl=ss2ss(syslin('c',A,B,C),rand(A)); [no,X]=contr(Sl('A'),Sl('B'));CO=X(:,1:no); //Controllable part [uo,Y]=unobs(Sl('A'),Sl('C'));UO=Y(:,1:uo); //Unobservable part [Xp,dimc,dimu,dim]=spantwo(CO,UO); //Kalman decomposition Slcan=ss2ss(Sl,inv(Xp)); for k=winsid(),xdel(k);end //==================================================== // ../man/linear/spchol.man //==================================================== clear;lines(0); X=[ 3., 0., 0., 2., 0., 0., 2., 0., 2., 0., 0. ; 0., 5., 4., 0., 0., 0., 0., 0., 0., 0., 0. ; 0., 4., 5., 0., 0., 0., 0., 0., 0., 0., 0. ; 2., 0., 0., 3., 0., 0., 2., 0., 2., 0., 0. ; 0., 0., 0., 0. , 5., 0., 0., 0., 0., 0., 4. ; 0., 0., 0., 0., 0., 4., 0., 3., 0., 3., 0. ; 2., 0., 0., 2., 0., 0., 3., 0., 2., 0., 0. ; 0., 0., 0., 0., 0., 3., 0., 4., 0., 3., 0. ; 2., 0., 0., 2., 0., 0., 2., 0., 3., 0., 0. ; 0., 0., 0., 0., 0., 3., 0., 3., 0., 4., 0. ; 0., 0., 0., 0., 4., 0., 0., 0., 0., 0., 5.]; X=sparse(X);[R,P] = spchol(X); max(P*R*R'*P'-X) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/spec.man //==================================================== clear;lines(0); A=diag([1,2,3]);X=rand(3,3);A=inv(X)*A*X; spec(A) // x=poly(0,'x'); pol=det(x*eye()-A) roots(pol) // [Ab,X,bs]=bdiag(A); Ab clean(inv(X)*A*X) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/sqroot.man //==================================================== clear;lines(0); X=rand(5,2)*rand(2,5);X=X*X'; W=sqroot(X) norm(W*W'-X,1) // X=rand(5,2)+%i*rand(5,2);X=X*X'; W=sqroot(X) norm(W*W'-X,1) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/sva.man //==================================================== clear;lines(0); A=rand(5,4)*rand(4,5); [U,s,V]=sva(A,2); B=U*s*V'; svd(A) svd(B) clean(svd(A-B)) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/svd.man //==================================================== clear;lines(0); X=rand(4,2)*rand(2,4) svd(X) sqrt(spec(X*X')) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/sylv.man //==================================================== clear;lines(0); A=rand(4,4);C=rand(4,3);B=rand(3,3); X = sylv(A,B,C,'c'); norm(A*X+X*B-C) X=sylv(A,B,C,'d') norm(A*X*B-X-C) for k=winsid(),xdel(k);end //==================================================== // ../man/linear/trace.man //==================================================== clear;lines(0); A=rand(3,3); trace(A)-sum(spec(A)) for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/add_edge.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 11 12 13 13 13 14 15 16 16 17 17]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 15 12 13 9 10 14 11 16 1 17 14 15]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; show_graph(g); g=add_edge(1,7,g); g('edge_color')=[ones(ta) 11]; show_graph(g); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/add_node.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 11 12 13 13 13 14 15 16 16 17 17]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 15 12 13 9 10 14 11 16 1 17 14 15]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; show_graph(g); n=g('node_number'); g1=add_node(g,[270 140]); g1('node_color')=[ones(1,n) 11]; show_graph(g1); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/adj_lists.man //==================================================== clear;lines(0); ta=[2 3 3 5 3 4 4 5 8]; he=[1 2 4 2 6 6 7 7 4]; g=make_graph('foo',1,8,ta,he); g('node_x')=[129 200 283 281 128 366 122 333]; g('node_y')=[61 125 129 189 173 135 236 249]; show_graph(g); [lp,la,ls]=adj_lists(g) [lp,la,ls]=adj_lists(1,g('node_number'),ta,he) for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/arc_graph.man //==================================================== clear;lines(0); ta=[1 1 2 4 4 5 6 7 2 3 5 1]; he=[2 6 3 6 7 8 8 8 4 7 3 5]; g=make_graph('foo',1,8,ta,he); g('node_x')=[281 284 360 185 405 182 118 45]; g('node_y')=[262 179 130 154 368 248 64 309]; show_graph(g); g1=arc_graph(g); show_graph(g1,'new'); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/arc_number.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/articul.man //==================================================== clear;lines(0); ta=[2 1 3 2 2 4 4 5 6 7 8 8 9 10 10 10 10 11 12 13 14 15 16 17 17]; he=[1 10 2 5 7 3 2 4 5 8 6 9 7 7 11 13 15 12 13 14 11 16 17 14 15]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; g('node_diam')=[1:(g('node_number'))]+20; show_graph(g); nart = articul(g) show_nodes(nart); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/bandwr.man //==================================================== clear;lines(0); ta=[2 1 3 2 2 4 4 5 6 7 8 8 9 10 10 10 10 11 12 13 13 14 15 16 16 17 17]; he=[1 10 2 5 7 3 2 4 5 8 6 9 7 7 11 13 15 12 13 9 14 11 16 1 17 14 15]; g=make_graph('foo',0,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; // THE GRAPH show_graph(g); a=graph_2_mat(g,'node-node'); ww=tril(a)'+eye(); ww1=full(ww); xset('window',0) hist3d((ww1+tril(ww1',-1)+tril(ww1,-1)'),52,85); // BANDWIDTH REDUCTION FOR THE MATRIX [iperm,mrepi,profile,ierr]=bandwr(ww); max(profile(2:$)-profile(1:($-1))) // GRAPH WITH THE NEW NUMBERING g2=g;g2('node_name')=string(iperm); show_graph(g2,'new') // NEW MATRIX n=g('node_number'); yy=ww1(mrepi,mrepi); xset('window',1) hist3d((yy+tril(yy',-1)+tril(yy,-1)'),52,85); // STARTING WITH THE SAME MATRIX [ij,v,mn]=spget(ww); g1=make_graph('foo',0,n,ij(:,1)',ij(:,2)'); g1('node_x')=g('node_x');g1('node_y')=g('node_y'); // GRAPH //show_graph(g1,'rep'); [lp,la,ls] = adj_lists(1,n,g1('tail'),g1('head')); [iperm,mrepi,profile,ierr]=bandwr(lp,ls,n,0); g2=g;g2('node_name')=string(iperm); show_graph(g2,'new'); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/best_match.man //==================================================== clear;lines(0); ta=[27 27 3 12 11 12 27 26 26 25 25 24 23 23 21 22 21 20 19 18 18]; ta=[ta 16 15 15 14 12 9 10 6 9 17 8 17 10 20 11 23 23 12 18 28]; he=[ 1 2 2 4 5 11 13 1 25 22 24 22 22 19 13 13 14 16 16 9 16]; he=[he 10 10 11 12 2 6 5 5 7 8 7 9 6 11 4 18 13 3 28 17]; n=28; g=make_graph('foo',0,n,ta,he); xx=[46 120 207 286 366 453 543 544 473 387 300 206 136 250 346 408]; g('node_x')=[xx 527 443 306 326 196 139 264 55 58 46 118 513]; yy=[36 34 37 40 38 40 35 102 102 98 93 96 167 172 101 179]; g('node_y')=[yy 198 252 183 148 172 256 259 258 167 109 104 253]; show_graph(g); [card,match] = best_match(g); sp=sparse([ta' he'],[1:size(ta,2)]',[n,n]); sp1=sparse([[1:n]' match'],ones(1,size(match,2))',[n,n]); [ij,v,mn]=spget(sp.*sp1); show_arcs(v'); // // WITH A LARGER GRAPH g=load_graph(SCI+'/demos/metanet/mesh1000'); g('directed')=0; ta=g('tail');he=g('head');n=node_number(g); show_graph(g,'new',[3000,1000]); [card,match] = best_match(g); sp=sparse([ta' he'],[1:size(ta,2)]',[n,n]); sp1=sparse([[1:n]' match'],ones(1,size(match,2))',[n,n]); [ij,v,mn]=spget(sp.*sp1); show_arcs(v'); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/chain_struct.man //==================================================== clear;lines(0); ta=[1 1 2 3 5 4 6 7 7 3 3 8 8 5]; he=[2 3 5 4 6 6 7 4 3 2 8 1 7 4]; g=make_graph('foo',1,8,ta,he); g('node_x')=[116 231 192 323 354 454 305 155]; g('node_y')=[118 116 212 219 117 185 334 316]; show_graph(g); [fe,che,fn,chn] = chain_struct(g) for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/check_graph.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/circuit.man //==================================================== clear;lines(0); // graph with circuit ta=[1 1 2 3 5 4 6 7 7 3 3 8 8 5]; he=[2 3 5 4 6 6 7 4 3 2 8 1 7 4]; g=make_graph('foo',1,8,ta,he); g('node_x')=[116 231 192 323 354 454 305 155]; g('node_y')=[ 118 116 212 219 117 185 334 316]; show_graph(g); p=circuit(g) show_arcs(p) // graph without circuit g=make_graph('foo',1,4,[1 2 2 3],[2 3 4 4]); [p,r]=circuit(g) for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/con_nodes.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 4 5 7 7 9 10 12 12 13 13 14 15]; he=[2 6 3 4 5 1 3 5 1 8 9 8 11 10 11 11 15 13 14]; g=make_graph('foo',1,15,ta,he); g('node_x')=[197 191 106 194 296 305 305 418 422 432 552 550 549 416 548]; g('node_y')=[76 181 276 278 276 83 174 281 177 86 175 90 290 397 399]; show_graph(g); con_nodes(2,g) x_message('Displaying the nodes of component #2'); n=g('node_number'); nodecolor=0*ones(1,n); nodecolor(1,con_nodes(2,g))=11*ones(con_nodes(2,g)); g('node_color')=nodecolor; nodediam=20.*ones(1,n); nodediam(1,con_nodes(2,g))=30*ones(con_nodes(2,g)); g('node_diam')=nodediam; show_graph(g); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/connex.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 4 5 6 7 7 7 8 9 10 12 12 13 13 14 15]; he=[2 6 3 4 5 1 3 5 1 7 5 8 9 5 8 11 10 11 11 15 13 14]; g=make_graph('foo',1,15,ta,he); g('node_x')=[197 191 106 194 296 305 305 418 422 432 552 550 549 416 548]; g('node_y')=[76 181 276 278 276 83 174 281 177 86 175 90 290 397 399]; show_graph(g); [nc,ncomp]=connex(g) g('node_color')=10+ncomp; g('node_diam')=10+10*ncomp; x_message('Displaying the connected components of this graph'); show_graph(g); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/contract_edge.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 10 10 11 12 13 13 13 14 15 16 16 17 17]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 13 13 15 12 13 9 10 14 11 16 1 17 14 15]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; show_graph(g); g1=contract_edge(10,13,g); show_graph(g1,'new'); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/convex_hull.man //==================================================== clear;lines(0); ta=[27 27 3 12 11 12 27 26 26 25 25 24 23 23 21 22 21 20 19 18 18]; ta=[ta 16 15 15 14 12 9 10 6 9 17 8 17 10 20 11 23 23 12 18 28]; he=[ 1 2 2 4 5 11 13 1 25 22 24 22 22 19 13 13 14 16 16 9 16]; he=[he 10 10 11 12 2 6 5 5 7 8 7 9 6 11 4 18 13 3 28 17]; g=make_graph('foo',0,28,ta,he); xx=[46 120 207 286 366 453 543 544 473 387 300 206 136 250 346 408]; g('node_x')=[xx 527 443 306 326 196 139 264 55 58 46 118 513]; yy=[36 34 37 40 38 40 35 102 102 98 93 96 167 172 101 179]; g('node_y')=[yy 198 252 183 148 172 256 259 258 167 109 104 253]; show_graph(g); xy=[g('node_x');g('node_y')]; [nhull,ind] = convex_hull(xy) show_nodes(ind); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/cycle_basis.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 10 10 11 12 13 13 13 14 15 16 16 17 17]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 13 13 15 12 13 9 10 14 11 16 1 17 14 15]; gt=make_graph('foo',1,17,ta,he); gt('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; gt('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; gt('edge_color')=modulo([1:(edge_number(gt))],15)+1; gt('node_diam')=[1:(gt('node_number'))]+20; show_graph(gt); g=graph_simp(gt); g('edge_color')=modulo([1:(edge_number(g))],15)+1; g('node_diam')=gt('node_diam'); g('default_edge_hi_width')=12; show_graph(g); spc=cycle_basis(g); for kk=1:(size(spc,1)), aaa=spc(kk,:);aaa=full(aaa);aaa(aaa==0)=[]; show_arcs(aaa); end; for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/delete_arcs.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 10 10 11 12 13 13 13 14 15 16 16 17 17]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 13 13 15 12 13 9 10 14 11 16 1 17 14 15]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; show_graph(g); ij=[13 10;8 6;5 4;4 2]; gt=delete_arcs(ij,g); show_graph(gt,'new'); g('directed')=0; gt=delete_arcs(ij,g); show_graph(gt,'new'); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/delete_nodes.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 10 10 11 12 13 13 13 14 15 16 16 17 17]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 13 13 15 12 13 9 10 14 11 16 1 17 14 15]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; show_graph(g); v=[10 13 4]; gt=delete_nodes(v,g); show_graph(gt,'new'); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/edge_number.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/find_path.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 11 12 13 13 13 14 15 16 16 17 17]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 15 12 13 9 10 14 11 16 1 17 14 15]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; show_graph(g); p=find_path(1,14,g); edgecolor=1*ones(ta); edgecolor(p)=11*ones(p); g('edge_color')=edgecolor; show_graph(g); show_arcs(p); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/gen_net.man //==================================================== clear;lines(0); v=[1,10,2,1,0,10,100,100,0,100,50,50]; g=gen_net('foo',1,v); show_graph(g) // generating using dialogs g=gen_net(); show_graph(g) for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/girth.man //==================================================== clear;lines(0); ta=[1 6 2 4 7 5 6 8 4 3 5 1]; he=[2 1 3 6 4 8 8 7 2 7 3 5]; g=make_graph('foo',1,8,ta,he); g('node_x')=[285 284 335 160 405 189 118 45]; g('node_y')=[266 179 83 176 368 252 64 309]; show_graph(g); d=girth(g) for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/glist.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/graph-list.man //==================================================== clear;lines(0); g=load_graph(SCI+'/demos/metanet/mesh100'); g('node_color')=int(rand(1:g('node_number'))*16); g('edge_color')=int(rand(1:edge_number(g))*16); show_graph(g) for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/graph_2_mat.man //==================================================== clear;lines(0); g=load_graph(SCI+'/demos/metanet/colored'); a=graph_2_mat(g) a=graph_2_mat(g,'node-node') for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/graph_center.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 10 11 12 13 13 14 15 16 16 17 17]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 13 15 12 13 9 14 11 16 1 17 14 15]; g=make_graph('foo',0,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; g('node_diam')=[1:(g('node_number'))]+20; show_graph(g); [no,rad] = graph_center(g) show_nodes(no); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/graph_complement.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 10 11 12 13 13 13 14 15 17 17 16 16]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 13 15 12 13 9 10 14 11 16 14 15 1 17]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; g('edge_color')=modulo([1:(edge_number(g))],15)+1; g('node_diam')=[1:(g('node_number'))]+20; show_graph(g); g1=graph_complement(g); show_graph(g1,'new'); g=graph_complement(g1); show_graph(g); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/graph_diameter.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 10 11 12 13 13 14 15 16 16 17 17]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 13 15 12 13 9 14 11 16 1 17 14 15]; g=make_graph('foo',0,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; g('node_diam')=[1:(g('node_number'))]+20; show_graph(g); [d,p] = graph_diameter(g) show_arcs(p); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/graph_power.man //==================================================== clear;lines(0); ta=[1 1 2 4 4 5 6 7 2 3 5 1]; he=[2 6 3 6 7 8 8 8 4 7 3 5]; g=make_graph('foo',1,8,ta,he); g('node_x')=[285 284 335 160 405 189 118 45]; g('node_y')=[266 179 83 176 368 252 64 309]; show_graph(g); g1=graph_power(g,2); show_graph(g1,'new'); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/graph_simp.man //==================================================== clear;lines(0); ta=[1 1 1 2 2 2 3 4 4 4 5 5 6 7 7 8 8 9 9 10 10 10 10 10 11 12 12 13 13 13 14 15 16 16 17 17]; he=[1 2 10 3 5 7 4 2 9 9 4 6 6 8 2 6 9 7 4 7 11 13 13 15 12 11 13 9 10 14 11 16 1 17 14 15]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 98 164 162 273 235 267 384 504 493 409 573 601 627 642]; g('node_y')=[ 59 133 223 311 227 299 221 288 384 141 209 299 398 383 187 121 301]; show_graph(g); g1=graph_simp(g); show_graph(g1,'new'); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/graph_sum.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 10 11 12 13 13 13 14 15 16 16 17 17]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 13 15 12 13 9 10 14 11 16 1 17 14 15]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; g('edge_color')=modulo([1:(edge_number(g))],15)+1; g('edge_width')=ones(1,(edge_number(g))); g('node_diam')=[1:(g('node_number'))]+20; g('node_name')=['A' 'B' 'C' 'D' 'E' 'F' 'G' 'H' 'I' 'J' 'K' 'L' 'M' 'N' 'O' 'P' 'Q']; show_graph(g); ta=[2 3 4 5 11 12 1]; he=[10 5 6 7 15 17 7]; g1=make_graph('foo',1,17,ta,he); g1('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g1('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; g1('edge_color')=modulo([1:(edge_number(g1))],15)+1; g1('edge_width')=10*ones(1,(edge_number(g1))); g1('node_diam')=[1:(g1('node_number'))]+20; g1('node_name')=['A' 'B' 'C' 'D' 'E' 'F' 'G' 'H' 'I' 'J' 'K' 'L' 'M' 'N' 'O' 'P' 'Q']; show_graph(g1,'new'); g2=graph_sum(g,g1); show_graph(g2,'new'); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/graph_union.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 10 10 11 12 13 13 13 14 15 16 16 17 17]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 13 13 15 12 13 9 10 14 11 16 1 17 14 15]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; g('edge_color')=modulo([1:(edge_number(g))],15)+1; g('node_diam')=[1:(g('node_number'))]+20; g('node_name')=['A' 'B' 'C' 'D' 'E' 'F' 'G' 'H' 'I' 'J' 'K' 'L' 'M' 'N' 'O' 'P' 'Q']; show_graph(g); l=netwindows(); nw=l(2); v=[7 8 9 10 11 12 13]; show_nodes(v); g1=subgraph(v,'nodes',g); show_graph(g1,'new'); v=[1 2 5 6 7 8 9 10]; netwindow(nw); show_nodes(v); g2=subgraph(v,'nodes',g); show_graph(g2,'new'); g=graph_union(g1,g2); show_graph(g,'new'); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/hamilton.man //==================================================== clear;lines(0); ta=[2 1 3 2 2 4 4 5 6 7 8 8 9 10 10 10 10 11 12 13 13 14 15 16 16 17 17]; he=[1 10 2 5 7 3 2 4 5 8 6 9 7 7 11 13 15 12 13 9 14 11 16 1 17 14 15]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; g('node_diam')=[1:(g('node_number'))]+20; show_graph(g); cir=hamilton(g) show_arcs(cir); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/is_connex.man //==================================================== clear;lines(0); g=make_graph('foo',1,3,[1,2,3,1],[2,3,1,3]); is_connex(g) g=make_graph('foo',1,4,[1,2,3,1],[2,3,1,3]); is_connex(g) for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/knapsack.man //==================================================== clear;lines(0); weight=ones(1,15).*.[1:4]; profit=ones(1,60); capa=[15 45 30 60]; [earn,ind]=knapsack(profit,weight,capa) for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/line_graph.man //==================================================== clear;lines(0); ta=[1 1 2 4 4 5 6 7 2 3 5 1]; he=[2 6 3 6 7 8 8 8 4 7 3 5]; g=make_graph('foo',0,8,ta,he); g('node_x')=[281 284 360 185 405 182 118 45]; g('node_y')=[262 179 130 154 368 248 64 309]; show_graph(g); g1=line_graph(g); show_graph(g1,'new'); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/load_graph.man //==================================================== clear;lines(0); g=load_graph(SCI+'/demos/metanet/mesh100.graph'); show_graph(g); g=load_graph(SCI+'/demos/metanet/colored'); show_graph(g,'new'); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/make_graph.man //==================================================== clear;lines(0); // creating a directed graph with 3 nodes and 4 arcs. g=make_graph('foo',1,3,[1,2,3,1],[2,3,1,3]); // creating a directed graph with 13 nodes and 14 arcs. ta=[1 1 2 7 8 9 10 10 10 10 11 12 13 13]; he=[2 10 7 8 9 7 7 11 13 13 12 13 9 10]; g=make_graph('foo',1,13,ta,he); g('node_x')=[120 98 87 188 439 698 226 127 342 467 711 779 477]; g('node_y')=[ 21 184 308 426 435 428 129 360 435 55 109 320 321]; show_graph(g) // creating same graph without isolated node and 14 arcs. g=make_graph('foo',1,0,ta,he); g('node_x')=[120 98 226 127 342 467 711 779 477]; g('node_y')=[ 21 184 129 360 435 55 109 320 321]; show_graph(g,'new') for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/mat_2_graph.man //==================================================== clear;lines(0); g=load_graph(SCI+'/demos/metanet/colored'); show_graph(g); a=graph_2_mat(g); g1=mat_2_graph(a,1); g1('node_x')=g('node_x'); g1('node_y')=g('node_y'); show_graph(g1,'new'); a=graph_2_mat(g,'node-node'); g1=mat_2_graph(a,1,'node-node'); g1('node_x')=g('node_x'); g1('node_y')=g('node_y'); show_graph(g1,'new'); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/max_cap_path.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 11 12 13 13 13 14 15 16 16 17 17]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 15 12 13 9 10 14 11 16 1 17 14 15]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; show_graph(g); ma=edge_number(g); g('edge_max_cap')=int(rand(1,ma)*16)+5; [p,cap]=max_cap_path(1,14,g); edgecolor=1*ones(1,ma); edgecolor(p)=11*ones(p); g('edge_color')=edgecolor; x_message(['The maximum capacity is: '+string(cap); 'Showing the corresponding path']); show_graph(g); show_arcs(p); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/max_clique.man //==================================================== clear;lines(0); ta=[1 2 3 4 5 6 6 7 8 9 10 16 16 10 11 11 12 12 11 14 15 15 13 7 13 13]; he=[2 3 4 5 6 7 8 8 9 10 16 2 3 11 12 13 1 14 14 15 5 9 12 4 14 15]; g=make_graph('foo',0,16,ta,he); g('node_x')=[106 199 369 467 470 403 399 347 308 269 184 108 199 268 345 272]; g('node_y')=[341 420 422 321 180 212 286 246 193 244 243 209 59 134 51 348]; g('node_diam')=[1:(g('node_number'))]+20; show_graph(g); [ns,no] = max_clique(g); show_nodes(no); g1=graph_complement(g); [ns,no] = max_clique(g1); show_nodes(no); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/max_flow.man //==================================================== clear;lines(0); ta=[1 1 2 2 3 3 4 4 5 5 5 5 6 6 6 7 7 15 15 15 15 15 15]; ta=[ta, 15 8 9 10 11 12 13 14]; he=[10 13 9 14 8 11 9 11 8 10 12 13 8 9 12 8 11 1 2 3 4]; he=[he, 5 6 7 16 16 16 16 16 16 16]; n=16; g=make_graph('foo',1,n,ta,he); g('node_x')=[42 615 231 505 145 312 403 233 506 34 400 312 142 614 260 257]; g('node_y')=[143 145 154 154 147 152 157 270 273 279 269 273 273 274 50 376]; ma=edge_number(g); g('edge_max_cap')=ones(1,ma); g('edge_min_cap')=zeros(1,ma); source=15; sink=16; nodetype=0*ones(1,n); nodetype(source)=2; nodetype(sink)=1; g('node_type')=nodetype; nodecolor=0*ones(1,n); nodecolor(source)=11; nodecolor(sink)=11; g('node_color')=nodecolor; show_graph(g); [v,phi,ierr]=max_flow(source,sink,g); ii=find(phi<>0); edgecolor=phi; edgecolor(ii)=11*ones(ii); g('edge_color')=edgecolor; edgefontsize=8*ones(1,ma); edgefontsize(ii)=18*ones(ii); g('edge_font_size')=edgefontsize; g('edge_label')=string(phi); show_graph(g); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/mesh2d.man //==================================================== clear;lines(0); // FIRST CASE theta=0.025*[1:40]*2.*%pi; x=1+cos(theta); y=1.+sin(theta); theta=0.05*[1:20]*2.*%pi; x1=1.3+0.4*cos(theta); y1=1.+0.4*sin(theta); theta=0.1*[1:10]*2.*%pi; x2=0.5+0.2*cos(theta); y2=1.+0.2*sin(theta); x=[x x1 x2]; y=[y y1 y2]; // nu=mesh2d(x,y); nbt=size(nu,2); jj=[nu(1,:)' nu(2,:)';nu(2,:)' nu(3,:)';nu(3,:)' nu(1,:)']; as=sparse(jj,ones(size(jj,1),1)); ast=tril(as+abs(as'-as)); [jj,v,mn]=spget(ast); n=size(x,2); g=make_graph('foo',0,n,jj(:,1)',jj(:,2)'); g('node_x')=300*x; g('node_y')=300*y; g('default_node_diam')=10; show_graph(g) // SECOND CASE !!! NEEDS x,y FROM FIRST CASE x3=2.*rand(1:200); y3=2.*rand(1:200); wai=((x3-1).*(x3-1)+(y3-1).*(y3-1)); ii=find(wai >= .94); x3(ii)=[];y3(ii)=[]; wai=((x3-0.5).*(x3-0.5)+(y3-1).*(y3-1)); ii=find(wai <= 0.055); x3(ii)=[];y3(ii)=[]; wai=((x3-1.3).*(x3-1.3)+(y3-1).*(y3-1)); ii=find(wai <= 0.21); x3(ii)=[];y3(ii)=[]; xnew=[x x3];ynew=[y y3]; fr1=[[1:40] 1];fr2=[[41:60] 41];fr2=fr2($:-1:1); fr3=[[61:70] 61];fr3=fr3($:-1:1); front=[fr1 fr2 fr3]; // nu=mesh2d(xnew,ynew,front); nbt=size(nu,2); jj=[nu(1,:)' nu(2,:)';nu(2,:)' nu(3,:)';nu(3,:)' nu(1,:)']; as=sparse(jj,ones(size(jj,1),1)); ast=tril(as+abs(as'-as)); [jj,v,mn]=spget(ast); n=size(xnew,2); g=make_graph('foo',0,n,jj(:,1)',jj(:,2)'); g('node_x')=300*xnew; g('node_y')=300*ynew; g('default_node_diam')=10; show_graph(g) // REGULAR CASE !!! NEEDS PREVIOUS CASES FOR x,y,front xx=0.1*[1:20]; yy=xx.*.ones(1,20); zz= ones(1,20).*.xx; x3=yy;y3=zz; wai=((x3-1).*(x3-1)+(y3-1).*(y3-1)); ii=find(wai >= .94); x3(ii)=[];y3(ii)=[]; wai=((x3-0.5).*(x3-0.5)+(y3-1).*(y3-1)); ii=find(wai <= 0.055); x3(ii)=[];y3(ii)=[]; wai=((x3-1.3).*(x3-1.3)+(y3-1).*(y3-1)); ii=find(wai <= 0.21); x3(ii)=[];y3(ii)=[]; xnew=[x x3];ynew=[y y3]; nu=mesh2d(xnew,ynew,front); nbt=size(nu,2); jj=[nu(1,:)' nu(2,:)';nu(2,:)' nu(3,:)';nu(3,:)' nu(1,:)']; as=sparse(jj,ones(size(jj,1),1)); ast=tril(as+abs(as'-as)); [jj,v,mn]=spget(ast); n=size(xnew,2); g=make_graph('foo',0,n,jj(:,1)',jj(:,2)'); g('node_x')=300*xnew; g('node_y')=300*ynew; g('default_node_diam')=3; show_graph(g) for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/metanet.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/metanet_sync.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/min_lcost_cflow.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 4 5 6 6 6 7 7 7 8 9 10 12 12 13 13 13 14 15 14 9 11 10]; he=[2 6 3 4 5 1 3 5 1 7 10 11 5 8 9 5 8 11 10 11 9 11 15 13 14 4 6 9 1]; g=make_graph('foo',1,15,ta,he); g('node_x')=[194 191 106 194 296 305 305 418 422 432 552 550 549 416 548]; g('node_y')=[56 181 276 278 276 103 174 281 177 86 175 90 290 397 399]; show_graph(g); g1=g; ma=arc_number(g1); n=g1('node_number'); g1('edge_min_cap')=0*ones(1,ma); rand('uniform'); g1('edge_max_cap')=round(20*rand(1,ma))+ones(1,ma); g1('edge_cost')=10*rand(1,ma)+ones(1,ma); source=15; sink=1; cv=5; [c,phi,v]=min_lcost_cflow(source,sink,cv,g1); x_message(['The cost is: '+string(c); 'Showing the flow on the arcs']); nodetype=0*ones(1,n); nodetype(source)=2; nodetype(sink)=1; g1('node_type')=nodetype; ii=find(phi<>0); edgecolor=phi; edgecolor(ii)=11*ones(ii); g1('edge_color')=edgecolor; edgefontsize=8*ones(1,ma); edgefontsize(ii)=18*ones(ii); nodecolor=0*ones(1,n); nodecolor(source)=11; nodecolor(sink)=11; g1('node_color')=nodecolor; g1('edge_font_size')=edgefontsize; g1('edge_label')=string(phi); show_graph(g1); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/min_lcost_flow1.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 4 5 6 6 6 7 7 7 8 9 10 12 12 13 13 13 14 15 14 9 11 10 1 8]; he=[2 6 3 4 5 1 3 5 1 7 10 11 5 8 9 5 8 11 10 11 9 11 15 13 14 4 6 9 1 12 14]; g=make_graph('foo',1,15,ta,he); g('node_x')=[194 191 106 194 296 305 305 418 422 432 552 550 549 416 548]; g('node_y')=[56 221 316 318 316 143 214 321 217 126 215 80 330 437 439]; show_graph(g); g1=g;ma=arc_number(g1); rand('uniform'); while %T then g1('edge_min_cap')=round(20*rand(1,ma)); g1('edge_max_cap')=round(20*rand(1,ma))+g1('edge_min_cap')+33*ones(1,ma); g1('edge_cost')=round(10*rand(1,ma))+ones(1,ma); [c,phi,flag]=min_lcost_flow1(g1); if flag==1 then break; end; end; x_message(['The cost is: '+string(c); 'Showing the flow on the arcs ']); ii=find(phi<>0); edgecolor=phi; edgecolor(ii)=11*ones(ii); g1('edge_color')=edgecolor; edgefontsize=8*ones(1,ma); edgefontsize(ii)=18*ones(ii); g1('edge_font_size')=edgefontsize; g1('edge_label')=string(phi); show_graph(g1); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/min_lcost_flow2.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 4 5 6 6 6 7 7 7 8 9 10 12 12 13 13 13 14 15 14 9 11 10 1 8]; he=[2 6 3 4 5 1 3 5 1 7 10 11 5 8 9 5 8 11 10 11 9 11 15 13 14 4 6 9 1 12 14]; g=make_graph('foo',1,15,ta,he); g('node_x')=[194 191 106 194 296 305 305 418 422 432 552 550 549 416 548]; g('node_y')=[56 221 316 318 316 143 214 321 217 126 215 80 330 437 439]; show_graph(g); g1=g; ma=arc_number(g1); n=g1('node_number'); g1('edge_min_cap')=0.*ones(1,ma); x_message(['Random generation of data'; 'The first(s) generated problem(s) may be unfeasible']); while %T then rand('uniform'); g1('edge_max_cap')=round(20*rand(1,ma))+20*ones(1,ma); g1('edge_cost')=round(10*rand(1,ma)+ones(1,ma)); rand('normal'); dd=20.*rand(1,n)-10*ones(1,n); dd=round(dd-sum(dd)/n*ones(1,n)); dd(n)=dd(n)-sum(dd); g1('node_demand')=dd; [c,phi,flag]=min_lcost_flow2(g1); if flag==1 then break; end; end; x_message(['The cost is: '+string(c); 'Showing the flow on the arcs and the demand on the nodes']); ii=find(phi<>0); edgecolor=phi; edgecolor(ii)=11*ones(ii); g1('edge_color')=edgecolor; edgefontsize=8*ones(1,ma); edgefontsize(ii)=18*ones(ii); g1('edge_font_size')=edgefontsize; g1('edge_label')=string(phi); g1('node_label')=string(g1('node_demand')); show_graph(g1); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/min_qcost_flow.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 4 5 6 6 6 7 7 7 8 9 10 12 12 13 13 13 14 15 14 9 11 10 1 8]; he=[2 6 3 4 5 1 3 5 1 7 10 11 5 8 9 5 8 11 10 11 9 11 15 13 14 4 6 9 1 12 14]; g=make_graph('foo',1,15,ta,he); g('node_x')=[194 191 106 194 296 305 305 418 422 432 552 550 549 416 548]; g('node_y')=[56 221 316 318 316 143 214 321 217 126 215 80 330 437 439]; show_graph(g); g1=g; ma=arc_number(g1); rand('uniform'); while %T then g1('edge_min_cap')=round(5*rand(1,ma)); g1('edge_max_cap')=round(20*rand(1,ma))+30*ones(1,ma); g1('edge_q_orig')=0*ones(1,ma); g1('edge_q_weight')=ones(1,ma); [c,phi,flag]=min_qcost_flow(0.001,g1); if flag==1 then break; end; end; x_message(['The cost is: '+string(c); 'Showing the flow on the arcs']); ii=find(phi<>0); edgecolor=phi; edgecolor(ii)=11*ones(ii); g1('edge_color')=edgecolor; edgefontsize=8*ones(1,ma); edgefontsize(ii)=18*ones(ii); g1('edge_font_size')=edgefontsize; g1('edge_label')=string(phi); show_graph(g1); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/min_weight_tree.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 11 12 13 13 13 14 15 16 16 17 17]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 15 12 13 9 10 14 11 16 1 17 14 15]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; show_graph(g); t=min_weight_tree(1,g); g1=g; ma=arc_number(g1); n=g1('node_number'); nodetype=0*ones(1,n); nodetype(1)=2; g1('node_type')=nodetype; edgecolor=1*ones(1,ma); edgecolor(t)=11*ones(t); g1('edge_color')=edgecolor; edgewidth=1*ones(1,ma); edgewidth(t)=4*ones(t); g1('edge_width')=edgewidth; x_message('Minimum weight tree from node 1'); show_graph(g1); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/neighbors.man //==================================================== clear;lines(0); ta=[1 6 2 4 7 5 6 8 4 3 5 1]; he=[2 1 3 6 4 8 8 7 2 7 3 5]; g=make_graph('foo',1,8,ta,he); g('node_x')=[285 284 335 160 405 189 118 45]; g('node_y')=[266 179 83 176 368 252 64 309]; show_graph(g); a=neighbors(6,g) show_nodes(a); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/netclose.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/netwindow.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/netwindows.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/node_number.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/nodes_2_path.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 11 12 13 13 13 14 15 16 16 17 17]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 15 12 13 9 10 14 11 16 1 17 14 15]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; show_graph(g); ns=[1 10 15 16 17 14 11 12 13 9 7 8 6]; g1=g; nodecolor=1*ones(g('node_x')); nodecolor(ns)=11*ones(ns); g1('node_color')=nodecolor; show_graph(g1); show_nodes(ns); p=nodes_2_path(ns,g); g1=g; edgecolor=1*ones(ta); edgecolor(p)=11*ones(p); g1('edge_color')=edgecolor; show_graph(g1); show_arcs(p); show_nodes(ns,'sup'); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/nodes_degrees.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 11 12 13 13 13 14 15 16 16 17 17]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 15 12 13 9 10 14 11 16 1 17 14 15]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; show_graph(g); [outdegree,indegree]=nodes_degrees(g) for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/path_2_nodes.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 11 12 13 13 13 14 15 16 16 17 17]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 15 12 13 9 10 14 11 16 1 17 14 15]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; show_graph(g); p=[2 16 23 25 26 22 17 18 19 13 10 11]; g1=g; edgecolor=1*ones(ta); edgecolor(p)=11*ones(p); g1('edge_color')=edgecolor; show_graph(g1); show_arcs(p); ns=path_2_nodes(p,g); g1=g; nodecolor=1*ones(g1('node_number')); nodecolor(ns)=11*ones(ns); g1('node_color')=nodecolor; show_graph(g1);show_nodes(ns); show_arcs(p,'sup'); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/perfect_match.man //==================================================== clear;lines(0); ta=[27 27 3 12 11 12 27 26 26 25 25 24 23 23 21 22 21 20 19 18 18]; ta=[ta 16 15 15 14 12 9 10 6 9 17 8 17 10 20 11 23 23 12 18 28]; he=[ 1 2 2 4 5 11 13 1 25 22 24 22 22 19 13 13 14 16 16 9 16]; he=[he 10 10 11 12 2 6 5 5 7 8 7 9 6 11 4 18 13 3 28 17]; n=28; g=make_graph('foo',0,n,ta,he); xx=[46 120 207 286 366 453 543 544 473 387 300 206 136 250 346 408]; g('node_x')=[xx 527 443 306 326 196 139 264 55 58 46 118 513]; yy=[36 34 37 40 38 40 35 102 102 98 93 96 167 172 101 179]; g('node_y')=[yy 198 252 183 148 172 256 259 258 167 109 104 253]; show_graph(g);m2=2*size(ta,2); arcost=round(100.*rand(1,m2)); [cst,nmatch] = perfect_match(g,arcost); sp=sparse([ta' he'],[1:size(ta,2)]',[n,n]); sp1=sparse([[1:n]' nmatch'],ones(1,size(nmatch,2))',[n,n]); [ij,v,mn]=spget(sp.*sp1); show_arcs(v'); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/pipe_network.man //==================================================== clear;lines(0); ta=[1 1 2 2 3 3 4 4 5 5 5 5 6 6 6 7 7 15 15 15 15 15 15]; ta=[ta, 15 8 9 10 11 12 13 14]; he=[10 13 9 14 8 11 9 11 8 10 12 13 8 9 12 8 11 1 2 3 4]; he=[he, 5 6 7 16 16 16 16 16 16 16]; n=16; g=make_graph('foo',1,n,ta,he); g('node_x')=[42 615 231 505 145 312 403 233 506 34 400 312 142 614 260 257]; g('node_y')=[143 145 154 154 147 152 157 270 273 279 269 273 273 274 50 376]; show_graph(g); g('node_demand')=[0 0 0 0 0 0 0 0 0 0 0 0 0 0 -100 100]; w = [1 3 2 6 4 7 8 1 2 2 2 4 7 8 9 2 3 5 7 3 2 5 8 2 5 8]; g('edge_weight')=[w, 6 4 3 5 6]; [x,pi] = pipe_network(g) for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/plot_graph.man //==================================================== clear;lines(0); // simple graph with different choices for the plot ta=[2 2 1 1 2 4 3 3 4]; he=[2 2 3 2 3 2 1 2 1]; g=make_graph('foo',1,4,ta,he); g('node_type')=[1 1 1 2];g('node_name')=string([1:4]); g('node_x')=[73 737 381 391]; g('node_y')=[283 337 458 142]; g('node_color')=[3 3 3 11]; g('node_diam')=[30 30 30 60]; g('edge_color')=[10 0 2 6 11 11 0 0 11]; rep=[2 2 1 1 2 2 2 2 2 2 2 2 2]; rep1=[100 -400 650 300]; xbasc(); plot_graph(g,rep,rep1); rep=[2 1 1 1 2 2 2 2 2 2 2 2 2]; x_message('plot the graph with different parameters'); xbasc(); plot_graph(g,rep,rep1); // plotting using dialogs xbasc(); plot_graph(g); xset("thickness",4); xbasc(); plot_graph(g); xset('default'); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/predecessors.man //==================================================== clear;lines(0); ta=[1 6 2 4 7 5 6 8 4 3 5 1]; he=[2 1 3 6 4 8 8 7 2 7 3 5]; g=make_graph('foo',1,8,ta,he); g('node_x')=[285 284 335 160 405 189 118 45]; g('node_y')=[266 179 83 176 368 252 64 309]; show_graph(g); a=predecessors(8,g) show_nodes(a); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/qassign.man //==================================================== clear;lines(0); n=15; d=100*rand(15,15); d=d-diag(diag(d)); c=zeros(n,n);f=c; f(2:n,1)=ones(1:n-1)'; [crit,order]=qassign(c,f,d) for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/salesman.man //==================================================== clear;lines(0); ta=[2 1 3 2 2 4 4 5 6 7 8 8 9 10 10 10 10 11 12 13 13 14 15 16 16 17 17]; he=[1 10 2 5 7 3 2 4 5 8 6 9 7 7 11 13 15 12 13 9 14 11 16 1 17 14 15]; g=make_graph('foo',0,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; g('node_diam')=[1:(g('node_number'))]+20; show_graph(g); g1=make_graph('foo1',1,17,[ta he],[he ta]); m=arc_number(g1); g1('edge_length')=5+round(30*rand(1,m)); cir = salesman(g1); ii=find(cir > edge_number(g)); if(ii <> []) then cir(ii)=cir(ii)-edge_number(g);end; show_arcs(cir); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/save_graph.man //==================================================== clear;lines(0); g=load_graph(SCI+'/demos/metanet/mesh100'); show_graph(g); unix('rm mymesh100.graph') save_graph(g,'mymesh100.graph'); g=load_graph('mymesh100'); show_graph(g,'new'); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/shortest_path.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 4 5 6 6 6 7 7 7 8 9 10 12 12 13 13 13 14 15 14 9 11 10]; he=[2 6 3 4 5 1 3 5 1 7 10 11 5 8 9 5 8 11 10 11 9 11 15 13 14 4 6 9 1]; g=make_graph('foo',1,15,ta,he); g('node_x')=[194 191 106 194 296 305 305 418 422 432 552 550 549 416 548]; g('node_y')=[56 181 276 278 276 103 174 281 177 86 175 90 290 397 399]; show_graph(g); g1=g;ma=prod(size(g1('head'))); rand('uniform'); g1('edge_length')=int(20*rand(1,ma)); [p,lp]=shortest_path(13,1,g1,'length'); p x_message(['Showing the arcs of the shortest path '; 'Choose ""Display arc names"" in the Graph menu to see arc names']); g1('edge_name')=string(g1('edge_length')); edgecolor=ones(1:ma);edgecolor(p)=11*ones(p); g1('edge_color')=edgecolor; edgefontsize=12*ones(1,ma);edgefontsize(p)=18*ones(p); g1('edge_font_size')=edgefontsize; show_graph(g1); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/show_arcs.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 11 12 13 13 13 14 15 16 16 17 17]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 15 12 13 9 10 14 11 16 1 17 14 15]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; show_graph(g); t=min_weight_tree(1,g); g1=g; ma=edge_number(g1); edgecolor=1*ones(1,ma); g1('edge_color')=edgecolor; edgewidth=1*ones(1,ma); edgewidth(t)=4*ones(t); g1('edge_width')=edgewidth; for i=8:12, edgecolor(t)=i*ones(t); g1('edge_color')=edgecolor; unix('sleep 2'); show_graph(g1); show_arcs(t); end; for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/show_graph.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 11 12 13 13 13 14 15 16 16 17 17]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 15 12 13 9 10 14 11 16 1 17 14 15]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; show_graph(g,2); show_graph(g,0.5); show_graph(g,1); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/show_nodes.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 11 12 13 13 13 14 15 16 16 17 17]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 15 12 13 9 10 14 11 16 1 17 14 15]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; show_graph(g); for i=2:3:g('node_number'), show_nodes([i]); end; for i=1:3:g('node_number'), show_nodes([i],'sup'); end; for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/split_edge.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 10 10 11 12 13 13 13 14 15 16 16 17 17]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 13 13 15 12 13 9 10 14 11 16 1 17 14 15]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; show_graph(g); gt=split_edge(1,2,g); show_graph(gt,'new'); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/strong_con_nodes.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 4 5 6 6 6 7 7 7 8 9 10 12 12 13 13 13 14 15]; he=[2 6 3 4 5 1 3 5 1 7 10 11 5 8 9 5 8 11 10 11 9 11 15 13 14]; g=make_graph('foo',1,15,ta,he); g('node_x')=[197 191 106 194 296 305 305 418 422 432 552 550 549 416 548]; g('node_y')=[76 181 276 278 276 83 174 281 177 86 175 90 290 397 399]; show_graph(g); ncomp=strong_con_nodes(3,g); n=g('node_number'); nodecolor=0*ones(1,n); nodecolor(ncomp)=11*ones(ncomp); g('node_color')=nodecolor; nodediam=20*ones(1,n); nodediam(ncomp)=40*ones(ncomp); g('node_diam')=nodediam; x_message('Set of nodes of the strong connected component #3'); show_graph(g); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/strong_connex.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 4 5 6 6 6 7 7 7 8 9 10 12 12 13 13 13 14 15]; he=[2 6 3 4 5 1 3 5 1 7 10 11 5 8 9 5 8 11 10 11 9 11 15 13 14]; g=make_graph('foo',1,15,ta,he); g('node_x')=[197 191 106 194 296 305 305 418 422 432 552 550 549 416 548]; g('node_y')=[76 181 276 278 276 83 174 281 177 86 175 90 290 397 399]; show_graph(g); [nc,ncomp]=strong_connex(g); g1=g; g1('node_color')=8+ncomp; g1('node_diam')=10+5*ncomp; x_message('Connected components of the graph'); show_graph(g1); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/subgraph.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 10 10 11 12 13 13 13 14 15 16 16 17 17]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 13 13 15 12 13 9 10 14 11 16 1 17 14 15]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; g('edge_color')=modulo([1:(edge_number(g))],15)+1; g('node_diam')=[1:(g('node_number'))]+20; show_graph(g); metanet_sync(1); v=[2 3 4 5 17 13 10]; show_nodes(v); g1=subgraph(v,'nodes',g); show_graph(g1); v=[10 13 12 16 20 19]; show_graph(g); show_arcs(v); g1=subgraph(v,'edges',g); show_graph(g1); metanet_sync(0); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/successors.man //==================================================== clear;lines(0); ta=[1 6 2 4 7 5 6 8 4 3 5 1]; he=[2 1 3 6 4 8 8 7 2 7 3 5]; g=make_graph('foo',1,8,ta,he); g('node_x')=[285 284 335 160 405 189 118 45]; g('node_y')=[266 179 83 176 368 252 64 309]; show_graph(g); a=successors(6,g) show_nodes(a); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/supernode.man //==================================================== clear;lines(0); ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 10 10 11 12 13 13 13 14 15 16 16 17 17]; he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 13 13 15 12 13 9 10 14 11 16 1 17 14 15]; g=make_graph('foo',1,17,ta,he); g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642]; g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301]; g('edge_color')=modulo([1:(edge_number(g))],15)+1; g('node_diam')=[1:(g('node_number'))]+20; show_graph(g); v=[7 10 13 9]; show_nodes(v); g1=supernode(v,g); show_graph(g1,'new'); for k=winsid(),xdel(k);end //==================================================== // ../man/metanet/trans_closure.man //==================================================== clear;lines(0); ta=[2 3 3 5 3 4 4 5 8]; he=[1 2 4 2 6 6 7 7 4]; g=make_graph('foo',1,8,ta,he); g('node_x')=[129 200 283 281 128 366 122 333]; g('node_y')=[61 125 129 189 173 135 236 249]; show_graph(g); g1=trans_closure(g); vv=1*ones(ta); aa=sparse([ta' he'],vv'); ta1=g1('tail'); he1=g1('head'); ww=1*ones(ta1); bb=sparse([ta1' he1'],ww'); dif=bb-aa; lim=size(ta1); edgecolor=0*ones(ta1); for i=1:lim(2) if dif(ta1(i),he1(i))==1 then edgecolor(i)=11; end; end; g1('edge_color')=edgecolor; x_message('Transitive closure of the graph'); show_graph(g1); for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/bvode.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/colnew.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/dasrt.man //==================================================== clear;lines(0); //dy/dt = ((2*log(y)+8)/t -5)*y, y(1) = 1, 1<=t<=6 //g1 = ((2*log(y)+8)/t - 5)*y //g2 = log(y) - 2.2491 y0=1;t=2:6;t0=1;y0d=3; info=list([],0,[],[],[],0,0); atol=1.d-6;rtol=0;ng=2; deff('[delta,ires]=res1(t,y,ydot)','ires=0;delta=ydot-((2*log(y)+8)/t-5)*y') deff('[rts]=gr1(t,y)','rts=[((2*log(y)+8)/t-5)*y;log(y)-2.2491]') [yy,nn]=dasrt([y0,y0d],t0,t,atol,rtol,res1,ng,gr1,info); //(Should return nn=[2.4698972 2]) for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/dassl.man //==================================================== clear;lines(0); deff('[r,ires]=chemres(t,y,yd)',[ 'r(1)=-0.04*y(1)+1d4*y(2)*y(3)-yd(1);'; 'r(2)=0.04*y(1)-1d4*y(2)*y(3)-3d7*y(2)*y(2)-yd(2);' 'r(3)=y(1)+y(2)+y(3)-1;' 'ires=0']); deff('[pd]=chemjac(x,y,yd,cj)',[ 'pd=[-0.04-cj , 1d4*y(3) , 1d4*y(2);'; '0.04 ,-1d4*y(3)-2*3d7*y(2)-cj ,-1d4*y(2);'; '1 , 1 , 1 ]']) y0=[1;0;0]; yd0=[-0.04;0.04;0]; t=[1.d-5:0.02:.4,0.41:.1:4,40,400,4000,40000,4d5,4d6,4d7,4d8,4d9,4d10]; info=list([],0,[],[],[],0,0); y=dassl([y0,yd0],0,t,chemres,info); info(2)=1; y=dassl([y0,yd0],0,4d10,chemres,info); y=dassl([y0,yd0],0,4d10,chemres,chemjac,info); for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/fit_dat.man //==================================================== clear;lines(0); deff('y=FF(x)','y=a*(x-b)+c*x.*x') X=[];Y=[]; a=34;b=12;c=14;for x=0:.1:3, Y=[Y,FF(x)+100*(rand()-.5)];X=[X,x];end Z=[Y;X]; deff('e=G(p,z)','a=p(1),b=p(2),c=p(3),y=z(1),x=z(2),e=y-FF(x)') [p,err]=fit_dat(G,[3;5;10],Z) xset('window',0) xbasc(); plot2d(X',Y',-1) plot2d(X',FF(X)',5,'002') a=p(1),b=p(2),c=p(3);plot2d(X',FF(X)',12,'002') a=34;b=12;c=14; deff('s=DG(p,z)','y=z(1),x=z(2),s=-[x-p(2),-p(1),x*x]') [p,err]=fit_dat(G,[3;5;10],Z,DG) xset('window',1) xbasc(); plot2d(X',Y',-1) plot2d(X',FF(X)',5,'002') a=p(1),b=p(2),c=p(3);plot2d(X',FF(X)',12,'002') for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/fsolve.man //==================================================== clear;lines(0); // A simple example with fsolve a=[1,7;2,8];b=[10;11]; deff('[y]=fsol1(x)','y=a*x+b'); deff('[y]=fsolj1(x)','y=a'); [xres]=fsolve([100;100],fsol1); a*xres+b [xres]=fsolve([100;100],fsol1,fsolj1); a*xres+b // See routines/default/Ex-fsolve.f [xres]=fsolve([100;100],'fsol1','fsolj1',1.e-7); a*xres+b for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/impl.man //==================================================== clear;lines(0); y=impl([1;0;0],[-0.04;0.04;0],0,0.4,'resid','aplusp'); // Using hot restart //[x1,w,iw]=impl([1;0;0],[-0.04;0.04;0],0,0.2,'resid','aplusp'); // hot start from previous call //[x1]=impl([1;0;0],[-0.04;0.04;0],0.2,0.4,'resid','aplusp',w,iw); //maxi(abs(x1-x)) for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/int2d.man //==================================================== clear;lines(0); X=[0,0;1,1;1,0]; Y=[0,0;0,1;1,1]; deff('z=f(x,y)','z=cos(x+y)') [I,e]=int2d(X,Y,f) // computes the integrand over the square [0 1]x[0 1] for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/int3d.man //==================================================== clear;lines(0); X=[0;1;0;0]; Y=[0;0;1;0]; Z=[0;0;0;1]; deff('v=f(xyz,numfun)','v=exp(xyz''*xyz)') [RESULT,ERROR]=int3d(X,Y,Z,'int3dex') // computes the integrand exp(x*x+y*y+z*z) over the //tetrahedron (0.,0.,0.),(1.,0.,0.),(0.,1.,0.),(0.,0.,1.) for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/intc.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/intg.man //==================================================== clear;lines(0); deff('[y]=f(x)','y=x*sin(30*x)/sqrt(1-((x/(2*%pi))^2))') exact=-2.5432596188; abs(exact-intg(0,2*%pi,f)) // See file routines/default/Ex-intg.f abs(exact-intg(0,2*%pi,'intgex')) for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/intl.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/karmarkar.man //==================================================== clear;lines(0); // n=10;p=20; // a=rand(n,p);c=rand(p,1);x0=abs(rand(p,1));b=a*x0;x1=karmarkar(a,b,c,x0); for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/linpro.man //==================================================== clear;lines(0); //Find x in R^6 such that: //C1*x = b1 (3 equality constraints i.e mi=3) C1= [1,-1,1,0,3,1; -1,0,-3,-4,5,6; 2,5,3,0,1,0]; b1=[1;2;3]; //C2*x <= b2 (2 inequality constraints) C2=[0,1,0,1,2,-1; -1,0,2,1,1,0]; b2=[-1;2.5]; //with x between ci and cs: ci=[-1000;-10000;0;-1000;-1000;-1000];cs=[10000;100;1.5;100;100;1000]; //and minimize p'*x with p=[1;2;3;4;5;6] //No initial point is given: x0='v'; C=[C1;C2]; b=[b1;b2] ; mi=3; x0='v'; [x,lagr,f]=linpro(p,C,b,ci,cs,mi,x0) // Lower bound constraints 3 and 4 are active and upper bound // constraint 5 is active --> lagr(3:4) < 0 and lagr(5) > 0. // Linear (equality) constraints 1 to 3 are active --> lagr(7:9) <> 0 for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/lmisolver.man //==================================================== clear;lines(0); //Find diagonal matrix X (i.e. X=diag(diag(X), p=1) such that //A1'*X+X*A1+Q1 < 0, A2'*X+X*A2+Q2 < 0 (q=2) and trace(X) is maximized n=2;A1=rand(n,n);A2=rand(n,n); Xs=diag(1:n);Q1=-(A1'*Xs+Xs*A1+0.1*eye()); Q2=-(A2'*Xs+Xs*A2+0.2*eye()); deff('[LME,LMI,OBJ]=evalf(Xlist)','X=Xlist(1),LME=X-diag(diag(X));... LMI=list(-(A1''*X+X*A1+Q1),-(A2''*X+X*A2+Q2)),OBJ= -sum(diag(X)) '); X=lmisolver(list(zeros(A1)),evalf);X=X(1) [Y,Z,c]=evalf(X) for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/lmitool.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/ode.man //==================================================== clear;lines(0); // Simple one dimension ODE // dy/dt=y^2-y sin(t)+cos(t), y(0)=0 deff('[ydot]=f(t,y)','ydot=y^2-y*sin(t)+cos(t)') y0=0;t0=0;t=0:0.1:%pi; y=ode(y0,t0,t,f) plot(t,y) // Simulation of dx/dt = A x(t) + B u(t) with u(t)=sin(omega*t), // x0=[1;0] ; // solution x(t) desired at t=0.1, 0.2, 0.5 ,1. // A and u function are passed to RHS function in a list. // B and omega are passed as global variables deff('[xdot]=linear(t,x,A,u)','xdot=A*x+B*u(t)') deff('[ut]=u(t)','ut=sin(omega*t)') A=[1 1;0 2];B=[1;1];omega=5; ode([1;0],0,[0.1,0.2,0.5,1],list(linear,A,u)) // // Matrix notation // Integration of the Riccati differential equation // Xdot=A'*X + X*A - X'*B*X + C , X(0)=Identity // Solution at t=[1,2] deff('[Xdot]=ric(t,X)','Xdot=A''*X+X*A-X''*B*X+C') A=[1,1;0,2]; B=[1,0;0,1]; C=[1,0;0,1]; X=ode(eye(A),0,t,ric) // // Computation of exp(A) A=[1,1;0,2]; deff('[xdot]=f(t,x)','xdot=A*x'); ode(eye(A),0,1,f) ode('adams',eye(A),0,1,f) // with stiff matrix, Jacobian given A=[10,0;0,-1]; deff('[J]=Jacobian(t,y)','J=A') ode('stiff',[0;1],0,1,f,Jacobian) for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/ode_discrete.man //==================================================== clear;lines(0); y1=[1;2;3];deff('yp=a_function(k,y)','yp=A*y+B*u(k)') A=diag([0.2,0.5,0.9]);B=[1;1;1];u=1:10;n=5; y=ode('discrete',y1,1,1:n,a_function); y(:,2)-(A*y1+B*u(1)) // Now y evaluates at [y3,y5,y7,y9] y=ode('discrete',y1,1,3:2:9,a_function); for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/ode_root.man //==================================================== clear;lines(0); // Integration of the differential equation // dy/dt=y , y(0)=1, and finds the minimum time t such that y(t)=2 deff('[ydot]=f(t,y)','ydot=y') deff('[z]=g(t,y)','z=y-2') y0=1;ng=1; [y,rd]=ode('roots',y0,0,2,f,ng,g) for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/odedc.man //==================================================== clear;lines(0); //Linear system with switching input deff('xdu=phis(t,x,u,flag)','if flag==0 then xdu=A*x+B*u; else xdu=1-u;end'); x0=[1;1];A=[-1,2;-2,-1];B=[1;2];u=0;nu=1;stdel=[1,0];u0=0;t=0:0.05:10; xu=odedc([x0;u0],nu,stdel,0,t,phis);x=xu(1:2,:);u=xu(3,:); nx=2; plot2d1('onn',t',x',[1:nx],'161'); plot2d2('onn',t',u',[nx+1:nx+nu],'000'); //Fortran external( see fydot2.f): norm(xu-odedc([x0;u0],nu,stdel,0,t,'phis'),1) //Sampled feedback // // | xcdot=fc(t,xc,u) // (system) | // | y=hc(t,xc) // // // | xd+=fd(xd,y) // (feedback) | // | u=hd(t,xd) // deff('xcd=f(t,xc,xd,iflag)',... ['if iflag==0 then ' ' xcd=fc(t,xc,e(t)-hd(t,xd));' 'else ' ' xcd=fd(xd,hc(t,xc));' 'end']); A=[-10,2,3;4,-10,6;7,8,-10];B=[1;1;1];C=[1,1,1]; Ad=[1/2,1;0,1/20];Bd=[1;1];Cd=[1,1]; deff('st=e(t)','st=sin(3*t)') deff('xdot=fc(t,x,u)','xdot=A*x+B*u') deff('y=hc(t,x)','y=C*x') deff('xp=fd(x,y)','xp=Ad*x + Bd*y') deff('u=hd(t,x)','u=Cd*x') h=0.1;t0=0;t=0:0.1:2; x0c=[0;0;0];x0d=[0;0];nd=2; xcd=odedc([x0c;x0d],nd,h,t0,t,f); norm(xcd-odedc([x0c;x0d],nd,h,t0,t,'fcd1')) // Fast calculation (see fydot2.f) plot2d([t',t',t'],xcd(1:3,:)'); xset("window",2);plot2d2("gnn",[t',t'],xcd(4:5,:)'); xset("window",0); for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/odeoptions.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/optim.man //==================================================== clear;lines(0); xref=[1;2;3];x0=[1;-1;1] deff('[f,g,ind]=cost(x,ind)','f=0.5*norm(x-xref)^2,g=x-xref'); [f,xopt]=optim(cost,x0) //Simplest call [f,xopt,gopt]=optim(cost,x0,'gc') // By conjugate gradient [f,xopt,gopt]=optim(cost,x0,'nd') //Seen as non differentiable [f,xopt,gopt]=optim(cost,'b',[-1;0;2],[0.5;1;4],x0) // Bounds on x [f,xopt,gopt]=optim(cost,'b',[-1;0;2],[0.5;1;4],x0,'gc') // Bounds on x [f,xopt,gopt]=optim(cost,'b',[-1;0;2],[0.5;1;4],x0,'gc','ar',3) // Here, 3 calls to cost are allowed. // Now calling the Fortran subroutine "genros" in SCIDIR/default/Ex-optim.f // See also the link function for dynamically linking an objective function [f,xopt,gopt]=optim('genros',[1;2;3]) //Rosenbrock's function for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/quapro.man //==================================================== clear;lines(0); //Find x in R^6 such that: //C1*x = b1 (3 equality constraints i.e mi=3) C1= [1,-1,1,0,3,1; -1,0,-3,-4,5,6; 2,5,3,0,1,0]; b1=[1;2;3]; //C2*x <= b2 (2 inequality constraints) C2=[0,1,0,1,2,-1; -1,0,2,1,1,0]; b2=[-1;2.5]; //with x between ci and cs: ci=[-1000;-10000;0;-1000;-1000;-1000];cs=[10000;100;1.5;100;100;1000]; //and minimize 0.5*x'*Q*x + p'*x with p=[1;2;3;4;5;6]; Q=eye(6,6); //No initial point is given; C=[C1;C2] ; // b=[b1;b2] ; // mi=3; [x,lagr,f]=quapro(Q,p,C,b,ci,cs,mi) //Only linear constraints (1 to 4) are active (lagr(1:6)=0): [x,lagr,f]=quapro(Q,p,C,b,[],[],mi) //Same result as above for k=winsid(),xdel(k);end //==================================================== // ../man/nonlinear/semidef.man //==================================================== clear;lines(0); F0=[2,1,0,0; 1,2,0,0; 0,0,3,1 0,0,1,3]; F1=[1,2,0,0; 2,1,0,0; 0,0,1,3; 0,0,3,1] F2=[2,2,0,0; 2,2,0,0; 0,0,3,4; 0,0,4,4]; blck_szs=[2,2]; F01=F0(1:2,1:2);F02=F0(3:4,3:4); F11=F1(1:2,1:2);F12=F1(3:4,3:4); F21=F2(1:2,1:2);F22=F2(3:4,3:4); x0=[0;0] Z0=2*F0; Z01=Z0(1:2,1:2);Z02=Z0(3:4,3:4); FF=[[F01(:);F02(:)],[F11(:);F12(:)],[F21(:);F22(:)]] ZZ0=[[Z01(:);Z02(:)]]; c=[trace(F1*Z0);trace(F2*Z0)]; options=[10,1.d-10,1.d-10,0,50]; [x,Z,ul,info]=semidef(x0,pack(ZZ0),pack(FF),blck_szs,c,options) w=vec2list(unpack(Z,blck_szs),[blck_szs;blck_szs]);Z=sysdiag(w(1),w(2)) c'*x+trace(F0*Z) spec(F0+F1*x(1)+F2*x(2)) trace(F1*Z)-c(1) trace(F2*Z)-c(2) for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/bezout.man //==================================================== clear;lines(0); x=poly(0,'x'); p1=(x+1)*(x-3)^5;p2=(x-2)*(x-3)^3; [thegcd,U]=bezout(p1,p2) det(U) clean([p1,p2]*U) thelcm=p1*U(1,2) lcm([p1,p2]) for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/clean.man //==================================================== clear;lines(0); x=poly(0,'x'); w=[x,1,2+x;3+x,2-x,x^2;1,2,3+x]/3; w*inv(w) clean(w*inv(w)) for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/cmndred.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/coffg.man //==================================================== clear;lines(0); s=poly(0,'s') a=[ s, s^2+1; s s^2-1]; [a1,d]=coffg(a); (a1/d)-inv(a) for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/colcompr.man //==================================================== clear;lines(0); s=poly(0,'s'); p=[s;s*(s+1)^2;2*s^2+s^3]; [Y,rk,ac]=colcompr(p*p'); p*p'*Y for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/denom.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/derivat.man //==================================================== clear;lines(0); s=poly(0,'s'); derivat(1/s) // -1/s^2; for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/determ.man //==================================================== clear;lines(0); s=poly(0,'s'); w=s*rand(10,10); determ(w) det(coeff(w,1))*s^10 for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/detr.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/diophant.man //==================================================== clear;lines(0); s=poly(0,'s');p1=(s+3)^2;p2=(1+s); x1=s;x2=(2+s); [x,err]=diophant([p1,p2],p1*x1+p2*x2); p1*x1+p2*x2-p1*x(1)-p2*x(2) for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/factors.man //==================================================== clear;lines(0); n=poly([0.2,2,5],'z'); d=poly([0.1,0.3,7],'z'); R=syslin('d',n,d); R1=factors(R,'d') roots(R1('num')) roots(R1('den')) w=exp(2*%i*%pi*[0:0.1:1]); norm(abs(horner(R1,w))-abs(horner(R,w))) for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/gcd.man //==================================================== clear;lines(0); s=poly(0,'s'); p=[s,s*(s+1)^2,2*s^2+s^3]; [pgcd,u]=gcd(p); p*u for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/hermit.man //==================================================== clear;lines(0); s=poly(0,'s'); p=[s, s*(s+1)^2, 2*s^2+s^3]; [Ar,U]=hermit(p'*p); clean(p'*p*U), det(U) for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/horner.man //==================================================== clear;lines(0); s=poly(0,'s');M=[s,1/s]; horner(M,1) horner(M,%i) horner(M,1/s) for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/hrmt.man //==================================================== clear;lines(0); x=poly(0,'x'); v=[x*(x+1),x^2*(x+1),(x-2)*(x+1),(3*x^2+2)*(x+1)]; [pg,U]=hrmt(v);U=clean(U) det(U) for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/htrianr.man //==================================================== clear;lines(0); x=poly(0,'x'); M=[x;x^2;2+x^3]*[1,x-2,x^4]; [Mu,U,rk]=htrianr(M) det(U) M*U(:,1:2) for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/invr.man //==================================================== clear;lines(0); s=poly(0,'s') H=[s,s*s+2;1-s,1+s]; invr(H) [Num,den]=coffg(H);Num/den H=[1/s,(s+1);1/(s+2),(s+3)/s];invr(H) for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/lcm.man //==================================================== clear;lines(0); s=poly(0,'s'); p=[s,s*(s+1)^2,s^2*(s+2)]; [pp,fact]=lcm(p); p.*fact, pp for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/lcmdiag.man //==================================================== clear;lines(0); s=poly(0,'s'); H=[1/s,(s+2)/s/(s+1)^2;1/(s^2*(s+2)),2/(s+2)]; [N,D]=lcmdiag(H); N/D-H for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/ldiv.man //==================================================== clear;lines(0); wss=ssrand(1,1,3);[a,b,c,d]=abcd(wss); wtf=ss2tf(wss); x1=ldiv(numer(wtf),denom(wtf),5) x2=[c*b;c*a*b;c*a^2*b;c*a^3*b;c*a^4*b] wssbis=markp2ss(x1',5,1,1); wtfbis=clean(ss2tf(wssbis)) x3=ldiv(numer(wtfbis),denom(wtfbis),5) for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/numer.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/pdiv.man //==================================================== clear;lines(0); x=poly(0,'x'); p1=(1+x^2)*(1-x);p2=1-x; [r,q]=pdiv(p1,p2) p2*q-p1 p2=1+x; [r,q]=pdiv(p1,p2) p2*q+r-p1 for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/pol2des.man //==================================================== clear;lines(0); s=poly(0,'s'); G=[1,s;1+s^2,3*s^3];[N,B,C]=pol2des(G); G1=clean(C*inv(s*N-eye())*B),G2=numer(G1) for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/pol2str.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/polfact.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/residu.man //==================================================== clear;lines(0); s=poly(0,'s'); H=[s/(s+1)^2,1/(s+2)];N=numer(H);D=denom(H); w=residu(N.*horner(N,-s),D,horner(D,-s)); //N(s) N(-s) / D(s) D(-s) sqrt(sum(w)) //This is H2 norm h2norm(tf2ss(H)) // p=(s-1)*(s+1)*(s+2)*(s+10);a=(s-5)*(s-1)*(s*s)*((s+1/2)**2); b=(s-3)*(s+2/5)*(s+3); residu(p,a,b)+531863/4410 //Exact z=poly(0,'z');a=z^3+0.7*z^2+0.5*z-0.3;b=z^3+0.3*z^2+0.2*z+0.1; atild=gtild(a,'d');btild=gtild(b,'d'); residu(b*btild,z*a,atild)-2.9488038 //Exact a=a+0*%i;b=b+0*%i; real(residu(b*btild,z*a,atild)-2.9488038) //Complex case for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/roots.man //==================================================== clear;lines(0); p=poly([0,10,1+%i,1-%i],'x'); roots(p) A=rand(3,3);roots(poly(A,'x')) // Evals by characteristic polynomial spec(A) for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/routh_t.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/rowcompr.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/sfact.man //==================================================== clear;lines(0); //Simple polynomial example z=poly(0,'z'); p=(z-1/2)*(2-z) w=sfact(p); w*numer(horner(w,1/z)) //matrix example F1=[z-1/2,z+1/2,z^2+2;1,z,-z;z^3+2*z,z,1/2-z]; P=F1*gtild(F1,'d'); //P is symmetric F=sfact(P) roots(det(P)) roots(det(gtild(F,'d'))) //The stable roots roots(det(F)) //The antistable roots clean(P-F*gtild(F,'d')) //Example of continuous time use s=poly(0,'s'); p=-3*(s+(1+%i))*(s+(1-%i))*(s+0.5)*(s-0.5)*(s-(1+%i))*(s-(1-%i));p=real(p); //p(s) = polynomial in s^2 , looks for stable f such that p=f(s)*f(-s) w=horner(p,(1-s)/(1+s)); // bilinear transform w=p((1-s)/(1+s)) wn=numer(w); //take the numerator fn=sfact(wn);f=numer(horner(fn,(1-s)/(s+1))); //Factor and back transform f=f/sqrt(horner(f*gtild(f,'c'),0));f=f*sqrt(horner(p,0)); //normalization roots(f) //f is stable clean(f*gtild(f,'c')-p) //f(s)*f(-s) is p(s) for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/simp.man //==================================================== clear;lines(0); s=poly(0,'s'); [n,d]=simp((s+1)*(s+2),(s+1)*(s-2)) simp_mode(%F);hns=s/s simp_mode(%T);hns=s/s for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/simp_mode.man //==================================================== clear;lines(0); s=poly(0,'s'); mod=simp_mode() simp_mode(%f);hns=s/s simp_mode(%t);hns=s/s simp_mode(mod); for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/sylm.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/polynomials/systmat.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/abort.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/addinter.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/and.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/ans.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/apropos.man //==================================================== clear;lines(0); apropos '+' apropos ode apropos 'list of' for k=winsid(),xdel(k);end //==================================================== // ../man/programming/argn.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/backslash.man //==================================================== clear;lines(0); A=rand(3,2);b=[1;1;1]; x=A\b; y=pinv(A)*b; x-y A=rand(2,3);b=[1;1]; x=A\b; y=pinv(A)*b; x-y, A*x-b, A*y-b A=rand(3,1)*rand(1,2); b=[1;1;1]; x=A\b; y=pinv(A)*b; A*x-b, A*y-b A=rand(2,1)*rand(1,3); b=[1;1]; x=A\b; y=pinv(A)*b; A*x-b, A*y-b for k=winsid(),xdel(k);end //==================================================== // ../man/programming/binary.man //==================================================== clear;lines(0); filen = 'test.bin' mopen(filen,'wb'); mput(1996,'ull');mput(1996,'uls');mput(1996,'ubl');mput(1996,'ubs'); mput(1996,'l');mput(1996,'s');mput(98,'uc');mput(98,'c'); mput(1996,'d');mput(1996,'f');mput(1996,'ul');mput(1996,'us'); mclose(); mopen(filen,'rb') if 1996<>mget(1,'ull') ;write(%io(2),'Bug');end; if 1996<>mget(1,'uls') ;write(%io(2),'Bug');end; if 1996<>mget(1,'ubl') ;write(%io(2),'Bug');end; if 1996<>mget(1,'ubs') ;write(%io(2),'Bug');end; if 1996<>mget(1,'l') ;write(%io(2),'BUG');end; if 1996<>mget(1,'s') ;write(%io(2),'Bug');end; if 98<>mget(1,'uc') ;write(%io(2),'Bug');end; if 98<>mget(1,'c') ;write(%io(2),'Bug');end; // with eventuel swap if 1996<>mget(1,'d') ;write(%io(2),'Bug');end; if 1996<>mget(1,'f') ;write(%io(2),'Bug');end; if 1996<>mget(1,'ul') ;write(%io(2),'Bug');end; if 1996<>mget(1,'us') ;write(%io(2),'Bug');end; mclose(); // an example with two files file1 = 'test1.bin'; file2 = 'test2.bin'; fd1=mopen(file1,'wb'); fd2=mopen(file2,'wb'); mput(1996,'ull',fd1); mput(1996,'ull',fd2); mclose(fd1); mclose(fd2); fd1=mopen(file1,'rb'); if 1996<>mget(1,'ull',fd1) ;write(%io(2),'Bug');end; fd2=mopen(file2,'rb'); if 1996<>mget(1,'ull',fd2) ;write(%io(2),'Bug');end; mclose(fd1); mclose(fd2); // and example with mseek file3='test3.bin' fd1= mopen(file3,'wb'); for i=1:10, mput(i,'d'); end mseek(0); mput(678,'d'); mseek(0,fd1,'end'); mput(932,'d'); mclose(fd1) fd1= mopen(file3,'rb'); res=mget(11,'d') res1=[1:11]; res1(1)=678;res1($)=932; if res1<>res ;write(%io(2),'Bug');end; mseek(0,fd1,'set'); // trying to read more than stored data res1=mget(100,'d',fd1); if res1<>res ;write(%io(2),'Bug');end; meof(fd1) mclearerr(fd1) mclose(fd1); for k=winsid(),xdel(k);end //==================================================== // ../man/programming/bool2s.man //==================================================== clear;lines(0); bool2s([%t %t %f %t]) bool2s([2.3 0 10 -1]) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/boolean.man //==================================================== clear;lines(0); [1,2]==[1,3] [1,2]==1 a=1:5; a(a>2) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/brackets.man //==================================================== clear;lines(0); [6.9,9.64; sqrt(-1) 0] [1 +%i 2 -%i 3] [] ['this is';'a string';'vector'] s=poly(0,'s');[1/s,2/s] [tf2ss(1/s),tf2ss(2/s)] [u,s]=schur(rand(3,3)) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/break.man //==================================================== clear;lines(0); k=0; while 1==1, k=k+1; if k > 100 then break,end; end for k=winsid(),xdel(k);end //==================================================== // ../man/programming/call.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/case.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/ceil.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/chdir.man //==================================================== clear;lines(0); chdir(TMPDIR); if MSDOS then unix_w("dir"); else unix_w("ls"); end for k=winsid(),xdel(k);end //==================================================== // ../man/programming/clear.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/clearfun.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/code2str.man //==================================================== clear;lines(0); code2str([-28 12 18 21 10 11]) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/coeff.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/colon.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/comma.man //==================================================== clear;lines(0); a=[1,2,3;4,5,6]; a=1,b=1;c=2 for k=winsid(),xdel(k);end //==================================================== // ../man/programming/comments.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/comp.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/deff.man //==================================================== clear;lines(0); deff('[x]=myplus(y,z)','x=y+z') // deff('[x]=mymacro(y,z)',['a=3*y+1'; 'x=a*z+y']) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/degree.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/delbpt.man //==================================================== clear;lines(0); setbpt('foo',1),setbpt('foo',10),delbpt('foo',10),dispbpt() for k=winsid(),xdel(k);end //==================================================== // ../man/programming/diary.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/disp.man //==================================================== clear;lines(0); disp([1 2],3) deff('[]=%t_p(l)','disp(l(3),l(2))') disp(tlist('t',1,2)) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/dispbpt.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/dot.man //==================================================== clear;lines(0); 1.345 x=[1 2 3];x.^2 .*x // a space is required between 2 and dot [123,.. 456] for k=winsid(),xdel(k);end //==================================================== // ../man/programming/else.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/elseif.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/empty.man //==================================================== clear;lines(0); s=poly(0,'s'); A = [s, s+1]; A+[], A*[] A=rand(2,2); AA=A([],1), size(AA) svd([]) w=ssrand(2,2,2); wr=[]*w; size(wr), w1=ss2tf(wr), size(w1) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/end.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/equal.man //==================================================== clear;lines(0); a=sin(3.2) [u,s]=schur(rand(3,3)) [1:10]==4 1~=2 for k=winsid(),xdel(k);end //==================================================== // ../man/programming/errcatch.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/errclear.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/error.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/evstr.man //==================================================== clear;lines(0); a=1; b=2; Z=['a','b'] ; evstr(Z) a=1; b=2; Z =list(['%(1)','%(1)-%(2)'],['a+1','b+1']); evstr(Z) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/exec.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/exists.man //==================================================== clear;lines(0); deff('foo(x)',.. ['disp([exists(''a12''),exists(''a12'',''local'')])' 'disp([exists(''x''),exists(''x'',''local'')])']) foo(1) a12=[];foo(1) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/exit.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/external.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/extraction.man //==================================================== clear;lines(0); // MATRIX CASE a=[1 2 3;4 5 6] a(1,2) a([1 1],2) a(:,1) a(:,3:-1:1) a(1) a(6) a(:) a([%t %f %f %t]) a([%t %f],[2 3]) a(1:2,$-1) a($:-1:1,2) a($) // x='test' x([1 1;1 1;1 1]) // b=[1/%s,(%s+1)/(%s-1)] b(1,1) b(1,$) b(2) // the numerator // LIST OR TLIST CASE l=list(1,'qwerw',%s) l(1) [a,b]=l([3 2]) l($) x=tlist(l(2:3)) //form a tlist with the last 2 components of l // dts=list(1,tlist(['x';'a';'b'],10,[2 3])); dts(2)('a') dts(2)('b')(1,2) [a,b]=dts(2)(['a','b']) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/eye.man //==================================================== clear;lines(0); eye(2,3) A=rand(2,3);eye(A) s=poly(0,'s');A=[s,1;s,s+1];eye(A) A=[1/s,1;s,2];eye(A); A=ssrand(2,2,3);eye(A) [1 2;3 4]+2*eye() for k=winsid(),xdel(k);end //==================================================== // ../man/programming/feval.man //==================================================== clear;lines(0); deff('[z]=f(x,y)','z=x^2+y^2'); feval(1:10,1:5,f) deff('[z]=f(x,y)','z=x+%i*y'); feval(1:10,1:5,f) feval(1:10,1:5,'parab') //See ffeval.f file feval(1:10,'parab') // For dynamic link (see example ftest in ffeval.f) // you can use the link command (the parameters depend on the machine): // unix('make ftest.o');link('ftest.o','ftest); feval(1:10,1:5,'ftest') for k=winsid(),xdel(k);end //==================================================== // ../man/programming/file.man //==================================================== clear;lines(0); u=file('open',TMPDIR+'/foo','unknown') for k=1:4 a=rand(1,4) write(u,a) end file('rewind',u) x=read(u,2,4) file('close',u) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/find.man //==================================================== clear;lines(0); A=rand(1,20); w=find(A<0.5); A(w) w=find(A>100); for k=winsid(),xdel(k);end //==================================================== // ../man/programming/fix.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/floor.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/for.man //==================================================== clear;lines(0); n=5; for i = 1:n, for j = 1:n, a(i,j) = 1/(i+j-1);end;end for j = 2:n-1, a(j,j) = j; end; a for e=eye(3,3),e,end for v=a, write(6,v),end for j=1:n,v=a(:,j), write(6,v),end for l=list(1,2,'example'); l,end for k=winsid(),xdel(k);end //==================================================== // ../man/programming/format.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/fort.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/fprintf.man //==================================================== clear;lines(0); u=file('open','results','unknown') //open the result file t=0:0.1:2*%pi; for tk=t fprintf(u,'time = %6.3f value = %6.3f',tk,sin(tk)) // write a line end file('close',u) //close the result file for k=winsid(),xdel(k);end //==================================================== // ../man/programming/fscanf.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/funcprot.man //==================================================== clear;lines(0); deff('[x]=foo(a)','x=a') deff('[x]=foo(a)','x=a+1') foo=33 funcprot(0) deff('[x]=foo(a)','x=a') deff('[x]=foo(a)','x=a+1') foo=33 for k=winsid(),xdel(k);end //==================================================== // ../man/programming/function.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/funptr.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/getcwd.man //==================================================== clear;lines(0); p=getcwd(); pwd for k=winsid(),xdel(k);end //==================================================== // ../man/programming/getd.man //==================================================== clear;lines(0); getd('SCI/macros/auto') for k=winsid(),xdel(k);end //==================================================== // ../man/programming/getenv.man //==================================================== clear;lines(0); getenv('SCI') getenv('FOO','foo') for k=winsid(),xdel(k);end //==================================================== // ../man/programming/getf.man //==================================================== clear;lines(0); getf('SCI/macros/xdess/plot.sci') for k=winsid(),xdel(k);end //==================================================== // ../man/programming/getpid.man //==================================================== clear;lines(0); d='SD_'+string(getpid())+'_' for k=winsid(),xdel(k);end //==================================================== // ../man/programming/hat.man //==================================================== clear;lines(0); 2^4 [1 2;2 4]^(1+%i) s=poly(0,"s"); [1 2 s]^4 [s 1;1 s]^(-1) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/help.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/host.man //==================================================== clear;lines(0); host("ls $SCI/demos"); host("emacs $SCI/demos/wheel2/Makefile"); deff('wd=pwd()','if MSDOS then host(''cd>''+TMPDIR+''\path'');.. else host(''pwd>''+TMPDIR+''/path'');end.. wd=read(TMPDIR+''/path'',1,1,''(a)'')') wd=pwd() for k=winsid(),xdel(k);end //==================================================== // ../man/programming/hypermat.man //==================================================== clear;lines(0); M=hypermat([2 3 2 2],1:24) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/hypermatrices.man //==================================================== clear;lines(0); a(1,1,1,1:2)=[1 2] a=[1 2;3 4];a(:,:,2)=rand(2,2) a(1,1,:) [a a] for k=winsid(),xdel(k);end //==================================================== // ../man/programming/ieee.man //==================================================== clear;lines(0); ieee(1);1/0 ieee(2);1/0,log(0) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/if.man //==================================================== clear;lines(0); i=2 for j = 1:3, if i == j then a(i,j) = 2; elseif abs(i-j) == 1 then a(i,j) = -1; else a(i,j) = 0; end, end for k=winsid(),xdel(k);end //==================================================== // ../man/programming/imag.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/insertion.man //==================================================== clear;lines(0); // MATRIX CASE a=[1 2 3;4 5 6] a(1,2)=10 a([1 1],2)=[-1;-2] a(:,1)=[8;5] a(1,3:-1:1)=[77 44 99] a(1)=%s a(6)=%s+1 a(:)=1:6 a([%t %f],1)=33 a(1:2,$-1)=[2;4] a($:-1:1,1)=[8;7] a($)=123 // x='test' x([4 5])=['4','5'] // b=[1/%s,(%s+1)/(%s-1)] b(1,1)=0 b(1,$)=b(1,$)+1 b(2)=[1 2] // the numerator // LIST OR TLIST CASE l=list(1,'qwerw',%s) l(1)='Changed' l(0)='Added' l(6)=['one more';'added'] // // dts=list(1,tlist(['x';'a';'b'],10,[2 3])); dts(2)('a')=33 dts(2)('b')(1,2)=-100 for k=winsid(),xdel(k);end //==================================================== // ../man/programming/int.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/intersci.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/iserror.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/keyboard.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/left.man //==================================================== clear;lines(0); [6.9,9.64; sqrt(-1) 0] [1 +%i 2 -%i 3] [] ['this is';'a string';'vector'] [u,s]=schur(rand(3,3)) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/length.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/less.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/lib.man //==================================================== clear;lines(0); deff('[z]=myplus(x,y)','z=x+y') deff('[z]=yourplus(x,y)','x=x-y') for k=winsid(),xdel(k);end //==================================================== // ../man/programming/lines.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/link.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/list.man //==================================================== clear;lines(0); x=list(1,2,3); x(4)=10; x(10)='a' for k=winsid(),xdel(k);end //==================================================== // ../man/programming/load.man //==================================================== clear;lines(0); a=eye(2,2);b=ones(a); save('vals.dat',a,b); clear a clear b load('vals.dat','a','b'); for k=winsid(),xdel(k);end //==================================================== // ../man/programming/lsslist.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/lstcat.man //==================================================== clear;lines(0); lstcat(list(1,2,3),33,list('foo',%s)) lstcat(1,2,3) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/macro.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/matrices.man //==================================================== clear;lines(0); E=[1,2;3,4] E=[%T,%F;1==1,1~=1] s=poly(0,'s');E=[s,s^2;1,1+s] E=[1/s,0;s,1/(s+1)] E=['A11','A12';'A21','A22'] for k=winsid(),xdel(k);end //==================================================== // ../man/programming/matrix.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/max.man //==================================================== clear;lines(0); [m,n]=max([1,3,1]) [m,n]=max([3,1,1],[1,3,1],[1,1,3]) [m,n]=max([3,-2,1],1) [m,n]=max(list([3,1,1],[1,3,1],[1,1,3])) [m,n]=max(list(1,3,1)) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/maxi.man //==================================================== clear;lines(0); [m,n]=maxi([1,3,1]) [m,n]=maxi([3,1,1],[1,3,1],[1,1,3]) [m,n]=maxi([3,-2,1],1) [m,n]=maxi(list([3,1,1],[1,3,1],[1,1,3])) [m,n]=maxi(list(1,3,1)) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/min.man //==================================================== clear;lines(0); [m,n]=min([1,3,1]) [m,n]=min([3,1,1],[1,3,1],[1,1,3]) [m,n]=min(list([3,1,1],[1,3,1],[1,1,3])) [m,n]=min(list(1,3,1)) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/mini.man //==================================================== clear;lines(0); [m,n]=mini([1,3,1]) [m,n]=mini([3,1,1],[1,3,1],[1,1,3]) [m,n]=mini(list([3,1,1],[1,3,1],[1,1,3])) [m,n]=mini(list(1,3,1)) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/minus.man //==================================================== clear;lines(0); [1,2]-1 []-2 %s-2 1/%s-2 "cat"+"enate" for k=winsid(),xdel(k);end //==================================================== // ../man/programming/mode.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/mtlb_mode.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/names.man //==================================================== clear;lines(0); //Valid names %eps A1=123 #Color=8 My_Special_Color_Table=rand(10,3) //Non valid names //1A , b%, .C for k=winsid(),xdel(k);end //==================================================== // ../man/programming/newfun.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/not.man //==================================================== clear;lines(0); ~[%t %t %f] for k=winsid(),xdel(k);end //==================================================== // ../man/programming/null.man //==================================================== clear;lines(0); l=list(1,2,3); l(2)=null() // get list(1,3) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/ones.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/or.man //==================================================== clear;lines(0); or([%t %t %f]) [%t %t %f]|[%f %t %t] [%t %t %f]|%f for k=winsid(),xdel(k);end //==================================================== // ../man/programming/overloading.man //==================================================== clear;lines(0); //DISPLAY deff('[]=%tab_p(l)','disp([['' '';l(3)] [l(2);string(l(4))]])') tlist('tab',['a','b'],['x';'y'],rand(2,2)) //OPERATOR deff('x=%c_a_s(a,b)','x=a+string(b)') 's'+1 //FUNCTION deff('x=%c_sin(a)','x=''sin(''+a+'')''') sin('2*x') for k=winsid(),xdel(k);end //==================================================== // ../man/programming/parents.man //==================================================== clear;lines(0); 3^(-1) x=poly(0,"x"); // (x+10)/2 i3=eye(3,3) // a=[1 2 3;4 5 6;7 8 9],a(1,3),a([1 3],:),a(:,3) a(:,3)=[] a(1,$)=33 a(2,[$ $-1]) a(:,$+1)=[10;11;12] // w=ssrand(2,2,2);ssprint(w) ssprint(w(:,1)) ss2tf(w(:,1)) // l=list(1,2,3,4) [a,b,c,d]=l(:) l($+1)='new' // v=%t([1 1 1 1 1]) // [x,y,z]=(1,2,3) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/part.man //==================================================== clear;lines(0); c=part(['a','abc','abcd'],[1,1,2]) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/pause.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/percent.man //==================================================== clear;lines(0); x1=tlist('x',1,2); x2=tlist('x',2,3); deff('x=%xmx(x1,x2)','x=list(''x'',x1(2)*x2(2),x2(3)*x2(3))'); x1*x2 for k=winsid(),xdel(k);end //==================================================== // ../man/programming/plus.man //==================================================== clear;lines(0); [1,2]+1 []+2 s=poly(0,"s"); s+2 1/s+2 "cat"+"enate" for k=winsid(),xdel(k);end //==================================================== // ../man/programming/poly.man //==================================================== clear;lines(0); s=poly(0,"s");p=1+s+2*s^2; A=rand(2,2);poly(A,"x") for k=winsid(),xdel(k);end //==================================================== // ../man/programming/power.man //==================================================== clear;lines(0); A=[1 2;3 4]; A^2.5, A.^2.5 (1:10)^2 (1:10).^2 s=poly(0,'s') s^(1:10) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/predef.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/print.man //==================================================== clear;lines(0); a=rand(3,3);p=poly([1,2,3],'s');l=list(1,'asdf',[1 2 3]); print(%io(2),a,p,l) write(%io(2),a) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/printf.man //==================================================== clear;lines(0); printf('Result is:\nalpha=%f",0.535) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/printf_conversion.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/pwd.man //==================================================== clear;lines(0); pwd for k=winsid(),xdel(k);end //==================================================== // ../man/programming/quit.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/quote.man //==================================================== clear;lines(0); [1+%i, 2]' [1+%i, 2].' x='This is a character string' 'He said:''Good''' for k=winsid(),xdel(k);end //==================================================== // ../man/programming/rand.man //==================================================== clear;lines(0); x=rand(10,10,'uniform') rand('normal') rand('info') y=rand(x,'normal'); for k=winsid(),xdel(k);end //==================================================== // ../man/programming/rat.man //==================================================== clear;lines(0); [n,d]=rat(%pi) [n,d]=rat(%pi,1.d-12) n/d-%pi for k=winsid(),xdel(k);end //==================================================== // ../man/programming/rational.man //==================================================== clear;lines(0); s=poly(0,'s'); W=[1/s,1/(s+1)] W'*W Num=[s,s+2;1,s];Den=[s*s,s;s,s*s]; tlist(['r','num','den','dt'],Num,Den,[]) H=Num./Den syslin('c',Num,Den) syslin('c',H) [Num1,Den1]=simp(Num,Den) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/read.man //==================================================== clear;lines(0); if MSDOS then unix('del foo'); else unix('rm -f foo'); end A=rand(3,5); write('foo',A); B=read('foo',3,5) B=read('foo',-1,5) read(%io(1),1,1,'(a)') // waits for user's input for k=winsid(),xdel(k);end //==================================================== // ../man/programming/read4b.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/readb.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/real.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/resume.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/return.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/rlist.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/round.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/save.man //==================================================== clear;lines(0); a=eye(2,2);b=ones(a); save('val.dat',a,b); clear a clear b load('val.dat','a','b'); for k=winsid(),xdel(k);end //==================================================== // ../man/programming/scanf.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/scanf_conversion.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/sciargs.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/scilab.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/scilink.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/select.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/semicolumn.man //==================================================== clear;lines(0); sin(%pi); a=[1,2;3 4] for k=winsid(),xdel(k);end //==================================================== // ../man/programming/setbpt.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/sign.man //==================================================== clear;lines(0); sign(rand(2,3)) sign(1+%i) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/signm.man //==================================================== clear;lines(0); A=rand(4,4);B=A+A';X=sign(B);spec(X) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/size.man //==================================================== clear;lines(0); [n,m]=size(rand(3,2)) [n,m]=size(['a','b';'c','d']) x=ssrand(3,2,4);[ny,nu]=size(x) [ny,nu]=size(ss2tf(x)) [ny,nu,nx]=size(x) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/slash.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/sprintf.man //==================================================== clear;lines(0); fahr=120 sprintf('%3d Fahrenheit = %6.1f Celsius',fahr,(5/9)*(fahr-32)) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/sscanf.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/stacksize.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/star.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/startup.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/str2code.man //==================================================== clear;lines(0); str2code('Scilab') for k=winsid(),xdel(k);end //==================================================== // ../man/programming/string.man //==================================================== clear;lines(0); string(rand(2,2)) deff('y=mymacro(x)','y=x+1') [out,in,text]=string(mymacro) x=123.356; 'Result is '+string(x) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/strings.man //==================================================== clear;lines(0); ['this','is'; 'a 2x2','matrix'] "matrix"=="mat"+"rix" for k=winsid(),xdel(k);end //==================================================== // ../man/programming/symbols.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/testmatrix.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/then.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/tilda.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/tlist.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/type.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/ulink.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/unix.man //==================================================== clear;lines(0); unix("ls $SCI/demos"); unix("emacs $SCI/demos/wheel2/Makefile"); deff('wd=pwd()','if MSDOS then unix(''cd>''+TMPDIR+''\path'');.. else unix(''pwd>''+TMPDIR+''/path'');end.. wd=read(TMPDIR+''/path'',1,1,''(a)'')') wd=pwd() for k=winsid(),xdel(k);end //==================================================== // ../man/programming/unix_g.man //==================================================== clear;lines(0); if MSDOS then unix_g('dir '+WSCI+'\demos'); else unix_g("ls $SCI/demos"); end deff('wd=pwd()','if MSDOS then wd=unix_g(''cd'');.. else wd=unix_g(''pwd''); end') wd=pwd() for k=winsid(),xdel(k);end //==================================================== // ../man/programming/unix_s.man //==================================================== clear;lines(0); if MSDOS then unix_s("del foo"); else unix_s("rm foo"); end for k=winsid(),xdel(k);end //==================================================== // ../man/programming/unix_w.man //==================================================== clear;lines(0); if MSDOS then unix_w("dir "+WSCI+"\demos"); else unix_w("ls $SCI/demos"); end for k=winsid(),xdel(k);end //==================================================== // ../man/programming/unix_x.man //==================================================== clear;lines(0); if MSDOS then unix_x("dir "+WSCI+"\demos"); else unix_x("ls $SCI/demos"); end for k=winsid(),xdel(k);end //==================================================== // ../man/programming/user.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/varargin.man //==================================================== clear;lines(0); deff('exampl(a,varargin)',['[lhs,rhs]=argn(0)' 'if rhs>=1 then disp(varargin),end']) exampl(1) exampl() exampl(1,2,3) l=list('a',%s,%t); exampl(1,l(2:3)) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/varargout.man //==================================================== clear;lines(0); deff('varargout=exampl()','varargout=list(1,2,3,4)') x=exampl() [x,y]=exampl() [x,y,z]=exampl() for k=winsid(),xdel(k);end //==================================================== // ../man/programming/varn.man //==================================================== clear;lines(0); s=poly(0,'s');p=[s^2+1,s]; for k=winsid(),xdel(k);end //==================================================== // ../man/programming/warning.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/what.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/where.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/whereami.man //==================================================== clear;lines(0); deff('y=test(a)',['y=sin(a)+1'; 'y=t1(y)'; 'y=y+1']) deff('y=t1(y)',['y=y^2';'whereami()']) test(1) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/whereis.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/while.man //==================================================== clear;lines(0); e=1; a=1; k=1; while norm(a-(a+e),1) > %eps, e=e/2; k=k+1; end e,k for k=winsid(),xdel(k);end //==================================================== // ../man/programming/who.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/whos.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/writb.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/programming/write.man //==================================================== clear;lines(0); if MSDOS then unix('del asave'); else unix('rm -f asave'); end A=rand(5,3); write('asave',A); A=read('asave',5,3); write(%io(2),A,'('' | '',3(f10.3,'' | ''))') write(%io(2),string(1:10)) write(%io(2),strcat(string(1:10),',')) write(%io(2),1:10,'(10(i2,3x))') if MSDOS then unix('del foo'); else unix('rm -f foo'); end write('foo',A) for k=winsid(),xdel(k);end //==================================================== // ../man/programming/write4b.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/augment.man //==================================================== clear;lines(0); G=ssrand(2,3,2); //Plant K=ssrand(3,2,2); //Compensator [P,r]=augment(G,'T'); T=lft(P,r,K); //Complementary sensitivity function Ktf=ss2tf(K);Gtf=ss2tf(G); Ttf=ss2tf(T);T11=Ttf(1,1); Oloop=Gtf*Ktf; Tn=Oloop*inv(eye(Oloop)+Oloop); clean(T11-Tn(1,1)); // [Pi,r]=augment(G,'T','i'); T1=lft(Pi,r,K);T1tf=ss2tf(T1); //Input Complementary sensitivity function Oloop=Ktf*Gtf; T1n=Oloop*inv(eye(Oloop)+Oloop); clean(T1tf(1,1)-T1n(1,1)) for k=winsid(),xdel(k);end //==================================================== // ../man/robust/bstap.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/ccontrg.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/colinout.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/copfac.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/dcf.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/des2ss.man //==================================================== clear;lines(0); s=poly(0,'s');G=[1/(s-1),s;1,2/s^3]; S1=tf2des(G);S2=tf2des(G,"withD"); W1=des2ss(S1);W2=des2ss(S2); clean(ss2tf(W1)) clean(ss2tf(W2)) for k=winsid(),xdel(k);end //==================================================== // ../man/robust/dhnorm.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/dtsi.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/fourplan.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/fspecg.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/fstabst.man //==================================================== clear;lines(0); ny=2;nu=3;nx=4; P22=ssrand(ny,nu,nx); bigQ=rand(nx+nu,nx+nu);bigQ=bigQ*bigQ'; bigR=rand(nx+ny,nx+ny);bigR=bigR*bigR'; [P,r]=lqg2stan(P22,bigQ,bigR); J=fstabst(P,r); Q=ssrand(nu,ny,1);Q('A')=-1; //Stable Q K=lft(J,r,Q); A=h_cl(P,r,K); spec(A) for k=winsid(),xdel(k);end //==================================================== // ../man/robust/gamitg.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/gcare.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/gfare.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/gtild.man //==================================================== clear;lines(0); //Continuous time s=poly(0,'s');G=[s,s^3;2+s^3,s^2-5] Gt=gtild(G,'c') Gt-horner(G,-s)' //continuous-time interpretation Gt=gtild(G,'d'); Gt-horner(G,1/s)'*s^3 //discrete-time interpretation G=ssrand(2,2,3);Gt=gtild(G); //State-space (G is cont. time by default) clean((horner(ss2tf(G),-s))'-ss2tf(Gt)) //Check // Discrete-time z=poly(0,'z'); Gss=ssrand(2,2,3);Gss('dt')='d'; //discrete-time Gss(5)=[1,2;0,1]; //With a constant D matrix G=ss2tf(Gss);Gt1=horner(G,1/z)'; Gt=gtild(Gss); Gt2=clean(ss2tf(Gt)); clean(Gt1-Gt2) //Check //Improper systems z=poly(0,'z'); Gss=ssrand(2,2,3);Gss(7)='d'; //discrete-time Gss(5)=[z,z^2;1+z,3]; //D(z) is polynomial G=ss2tf(Gss);Gt1=horner(G,1/z)'; //Calculation in transfer form Gt=gtild(Gss); //..in state-space Gt2=clean(ss2tf(Gt));clean(Gt1-Gt2) //Check for k=winsid(),xdel(k);end //==================================================== // ../man/robust/h2norm.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/h_cl.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/h_inf.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/h_inf_st.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/h_norm.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/hankelsv.man //==================================================== clear;lines(0); A=diag([-1,-2,-3]); sl=syslin('c',A,rand(3,2),rand(2,3));[nk2,W]=hankelsv(sl) [Q,M]=pbig(W,nk2(2)-%eps,'c'); slr=projsl(sl,Q,M);hankelsv(slr) for k=winsid(),xdel(k);end //==================================================== // ../man/robust/lcf.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/leqr.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/lft.man //==================================================== clear;lines(0); s=poly(0,'s'); P=[1/s, 1/(s+1); 1/(s+2),2/s]; K= 1/(s-1); lft(P,K) lft(P,[1,1],K) P(1,1)+P(1,2)*K*inv(1-P(2,2)*K)*P(2,1) //Numerically dangerous! ss2tf(lft(tf2ss(P),tf2ss(K))) lft(P,-1) f=[0,0;0,1];w=P/.f; w(1,1) //Improper plant (PID control) W=[1,1;1,1/(s^2+0.1*s)];K=1+1/s+s lft(W,[1,1],K); ss2tf(lft(tf2ss(W),[1,1],tf2ss(K))) for k=winsid(),xdel(k);end //==================================================== // ../man/robust/linf.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/linfn.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/lqg_ltr.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/macglov.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/nehari.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/parrot.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/ric_desc.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/riccati.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/rowinout.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/robust/sensi.man //==================================================== clear;lines(0); G=ssrand(1,1,3);K=ssrand(1,1,3); [Se,Re,Te]=sensi(G,K); Se1=inv(eye()+G*K); //Other way to compute ss2tf(Se) //Se seen in transfer form ss2tf(Se1) ss2tf(Te) ss2tf(G*K*Se1) [Si,Ri,Ti]=sensi(G,K,'i'); w1=[ss2tf(Si);ss2tf(Ri);ss2tf(Ti)] w2=[ss2tf(inv(eye()+K*G));ss2tf(G*inv(eye()+K*G));ss2tf(K*G*inv(eye()+K*G))]; clean(w1-w2) for k=winsid(),xdel(k);end //==================================================== // ../man/robust/tf2des.man //==================================================== clear;lines(0); s=poly(0,'s'); G=[1/(s-1),s;1,2/s^3]; S1=tf2des(G);des2tf(S1) S2=tf2des(G,"withD");des2tf(S2) for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/ABSBLK_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/AFFICH_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/ANDLOG_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/ANIMXY_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/BIGSOM_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/CLINDUMMY_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/CLKINV_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/CLKIN_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/CLKOUTV_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/CLKOUT_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/CLKSOMV_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/CLKSOM_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/CLKSPLIT_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/CLOCK_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/CLR_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/CLSS_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/CONST_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/COSBLK_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/CURV_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/DELAYV_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/DELAY_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/DEMUX_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/DLRADAPT_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/DLR_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/DLSS_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/EVENTSCOPE_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/EVTDLY_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/EVTGEN_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/EXPBLK_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/GAINBLK_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/GAIN_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/GENERAL_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/GENERIC_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/GENSIN_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/GENSQR_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/HALT_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/IFTHEL_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/INTEGRAL_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/INTRP2BLK_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/INTRPLBLK_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/INVBLK_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/IN_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/LOGBLK_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/LOOKUP_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/MAX_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/MCLOCK_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/MFCLCK_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/MIN_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/MUX_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/NEGTOPOS_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/OUT_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/POSTONEG_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/POWBLK_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/PROD_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/QUANT_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/RAND_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/REGISTER_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/RELAY_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/RFILE_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/SAMPLEHOLD_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/SAT_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/SAWTOOTH_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/SCOPE_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/SCOPXY_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/SELECT_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/SINBLK_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/SOM_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/SPLIT_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/STOP_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/SUPER_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/TANBLK_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/TCLSS_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/TEXT_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/TIME_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/TRASH_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/WFILE_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/ZCROSS_f.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/check_io.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/curblock.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/getblocklabel.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/getcurblock.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/getscicosvars.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/icon_edit.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/scicos.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/scicos_block.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/scicos_cpr.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/scicos_graphics.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/scicos_link.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/scicos_main.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/scicos_menus.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/scicos_model.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/scicosblock.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/scicosim.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/scifunc_block.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/setscicosvars.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/standard_define.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/standard_draw.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/standard_input.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/standard_origin.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/scicos/standard_output.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/%asn.man //==================================================== clear;lines(0); m=0.8;z=%asn(1/sqrt(m),m);K=real(z);Ktilde=imag(z); x2max=1/sqrt(m); x1=0:0.05:1;x2=1:((x2max-1)/20):x2max;x3=x2max:0.05:10; x=[x1,x2,x3]; y=%asn(x,m); rect=[0,-Ktilde,1.1*K,2*Ktilde]; plot2d(real(y)',imag(y)',1,'011',' ',rect) // deff('y=f(t)','y=1/sqrt((1-t^2)*(1-m*t^2))'); intg(0,0.9,f)-%asn(0.9,m) //Works for real case only! for k=winsid(),xdel(k);end //==================================================== // ../man/signal/%k.man //==================================================== clear;lines(0); m=0.4; %asn(1,m) %k(m) for k=winsid(),xdel(k);end //==================================================== // ../man/signal/%sn.man //==================================================== clear;lines(0); m=0.36; K=%k(m); P=4*K; //Real period real_val=0:(P/50):P; plot(real_val,real(%sn(real_val,m))) xbasc(); KK=%k(1-m); Ip=2*KK; ima_val1=0:(Ip/50):KK-0.001; ima_val2=(KK+0.05):(Ip/25):(Ip+KK); z1=%sn(%i*ima_val1,m);z2=%sn(%i*ima_val2,m); plot2d([ima_val1',ima_val2'],[imag(z1)',imag(z2)']); xgrid(3) for k=winsid(),xdel(k);end //==================================================== // ../man/signal/Signal.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/analpf.man //==================================================== clear;lines(0); //Evaluate magnitude response of continuous-time system hs=analpf(4,'cheb1',[.1 0],5) fr=0:.1:15; hf=freq(hs(2),hs(3),%i*fr); hm=abs(hf); plot(fr,hm) for k=winsid(),xdel(k);end //==================================================== // ../man/signal/buttmag.man //==================================================== clear;lines(0); //squared magnitude response of Butterworth filter h=buttmag(13,300,1:1000); mag=20*log(h)'/log(10); plot2d((1:1000)',mag,[2],"011"," ",[0,-180,1000,20]) for k=winsid(),xdel(k);end //==================================================== // ../man/signal/casc.man //==================================================== clear;lines(0); x=[1,2,3;4,5,6;7,8,9;10,11,12] cels=casc(x,'z') for k=winsid(),xdel(k);end //==================================================== // ../man/signal/cepstrum.man //==================================================== clear;lines(0); w=0.1:0.1:5;mag=1+abs(sin(w)); fresp=cepstrum(w,mag); plot2d([w',w'],[mag(:),abs(fresp)]) for k=winsid(),xdel(k);end //==================================================== // ../man/signal/cheb1mag.man //==================================================== clear;lines(0); //Chebyshev; ripple in the passband n=13;epsilon=0.2;omegac=3;sample=0:0.05:10; h=cheb1mag(n,omegac,epsilon,sample); plot(sample,h,'frequencies','magnitude') for k=winsid(),xdel(k);end //==================================================== // ../man/signal/cheb2mag.man //==================================================== clear;lines(0); //Chebyshev; ripple in the stopband n=10;omegar=6;A=1/0.2;sample=0.0001:0.05:10; h2=cheb2mag(n,omegar,A,sample); plot(sample,log(h2)/log(10),'frequencies','magnitude in dB') //Plotting of frequency edges minval=(-maxi(-log(h2)))/log(10); plot2d([omegar;omegar],[minval;0],[2],"000"); //Computation of the attenuation in dB at the stopband edge attenuation=-log(A*A)/log(10); plot2d(sample',attenuation*ones(sample)',[5],"000") for k=winsid(),xdel(k);end //==================================================== // ../man/signal/chepol.man //==================================================== clear;lines(0); chepol(4,'x') for k=winsid(),xdel(k);end //==================================================== // ../man/signal/convol.man //==================================================== clear;lines(0); x=1:3; h1=[1,0,0,0,0];h2=[0,1,0,0,0];h3=[0,0,1,0,0]; x1=convol(h1,x),x2=convol(h2,x),x3=convol(h3,x), convol(h1+h2+h3,x) p1=poly(x,'x','coeff') p2=poly(h1+h2+h3,'x','coeff') p1*p2 for k=winsid(),xdel(k);end //==================================================== // ../man/signal/corr.man //==================================================== clear;lines(0); x=%pi/10:%pi/10:102.4*%pi; rand('seed');rand('normal'); y=[.8*sin(x)+.8*sin(2*x)+rand(x);.8*sin(x)+.8*sin(1.99*x)+rand(x)]; c=[]; for j=1:2,for k=1:2,c=[c;corr(y(k,:),y(j,:),64)];end;end; c=matrix(c,2,128);cov=[]; for j=1:64,cov=[cov;c(:,(j-1)*2+1:2*j)];end; rand('unif') // rand('normal');x=rand(1,256);y=-x; deff('[z]=xx(inc,is)','z=x(is:is+inc-1)'); deff('[z]=yy(inc,is)','z=y(is:is+inc-1)'); [c,mxy]=corr(x,y,32); x=x-mxy(1)*ones(x);y=y-mxy(2)*ones(y); //centring c1=corr(x,y,32);c2=corr(x,32); norm(c1+c2,1) [c3,m3]=corr('fft',xx,yy,256,32); norm(c1-c3,1) [c4,m4]=corr('fft',xx,256,32); norm(m3,1),norm(m4,1) norm(c3-c1,1),norm(c4-c2,1) x1=x(1:128);x2=x(129:256); y1=y(1:128);y2=y(129:256); w0=0*ones(1:64); //32 coeffs [w1,xu]=corr('u',x1,y1,w0);w2=corr('u',x2,y2,w1,xu); zz=real(fft(w2,1))/256;c5=zz(1:32); norm(c5-c1,1) [w1,xu]=corr('u',x1,w0);w2=corr('u',x2,w1,xu); zz=real(fft(w2,1))/256;c6=zz(1:32); norm(c6-c2,1) rand('unif') // test for Fortran or C external // deff('[y]=xmacro(sec,ist)','y=sin(ist:(ist+sec-1))'); x=xmacro(100,1); [cc1,mm1]=corr(x,2^3); [cc,mm]=corr('fft',xmacro,100,2^3); [cc2,mm2]=corr('fft','corexx',100,2^3); [maxi(abs(cc-cc1)),maxi(abs(mm-mm1)),maxi(abs(cc-cc2)),maxi(abs(mm-mm2))] deff('[y]=ymacro(sec,ist)','y=cos(ist:(ist+sec-1))'); y=ymacro(100,1); [cc1,mm1]=corr(x,y,2^3); [cc,mm]=corr('fft',xmacro,ymacro,100,2^3); [cc2,mm2]=corr('fft','corexx','corexy',100,2^3); [maxi(abs(cc-cc1)),maxi(abs(mm-mm1)),maxi(abs(cc-cc2)),maxi(abs(mm-mm2))] for k=winsid(),xdel(k);end //==================================================== // ../man/signal/cspect.man //==================================================== clear;lines(0); rand('normal');rand('seed',0); x=rand(1:1024-33+1); //make low-pass filter with eqfir nf=33;bedge=[0 .1;.125 .5];des=[1 0];wate=[1 1]; h=eqfir(nf,bedge,des,wate); //filter white data to obtain colored data h1=[h 0*ones(1:maxi(size(x))-1)]; x1=[x 0*ones(1:maxi(size(h))-1)]; hf=fft(h1,-1); xf=fft(x1,-1);yf=hf.*xf;y=real(fft(yf,1)); sm=cspect(100,200,'tr',y); smsize=maxi(size(sm));fr=(1:smsize)/smsize; plot(fr,log(sm)) for k=winsid(),xdel(k);end //==================================================== // ../man/signal/czt.man //==================================================== clear;lines(0); a=.7*exp(%i*%pi/6); [ffr,bds]=xgetech(); //preserve current context rect=[-1.2,-1.2*sqrt(2),1.2,1.2*sqrt(2)]; t=2*%pi*(0:179)/179;xsetech([0,0,0.5,1]); plot2d(sin(t)',cos(t)',[2],"012",' ',rect) plot2d([0 real(a)]',[0 imag(a)]',[3],"000") xsegs([-1.0,0;1.0,0],[0,-1.0;0,1.0]) w0=.93*exp(-%i*%pi/15);w=exp(-(0:9)*log(w0));z=a*w; zr=real(z);zi=imag(z); plot2d(zr',zi',[5],"000") xsetech([0.5,0,0.5,1]); plot2d(sin(t)',cos(t)',[2],"012",' ',rect) plot2d([0 real(a)]',[0 imag(a)]',[-1],"000") xsegs([-1.0,0;1.0,0],[0,-1.0;0,1.0]) w0=w0/(.93*.93);w=exp(-(0:9)*log(w0));z=a*w; zr=real(z);zi=imag(z); plot2d(zr',zi',[5],"000") xsetech(ffr,bds); //restore context for k=winsid(),xdel(k);end //==================================================== // ../man/signal/dft.man //==================================================== clear;lines(0); n=8;omega = exp(-2*%pi*%i/n); j=0:n-1;F=omega.^(j'*j); //Fourier matrix x=1:8;x=x(:); F*x fft(x,-1) dft(x,-1) inv(F)*x fft(x,1) dft(x,1) for k=winsid(),xdel(k);end //==================================================== // ../man/signal/ell1mag.man //==================================================== clear;lines(0); deff('[alpha,beta]=alpha_beta(n,m,m1)',... 'if 2*int(n/2)=n then, beta=K1; else, beta=0;end;... alpha=%k(1-m1)/%k(1-m);') epsilon=0.1;A=10; //ripple parameters m1=(epsilon*epsilon)/(A*A-1);n=5;omegac=6; m=find_freq(epsilon,A,n);omegar = omegac/sqrt(m) %k(1-m1)*%k(m)/(%k(m1)*%k(1-m))-n //Check... [alpha,beta]=alpha_beta(n,m,m1) alpha*%asn(1,m)-n*%k(m1) //Check sample=0:0.01:20; //Now we map the positive real axis into the contour... z=alpha*%asn(sample/omegac,m)+beta*ones(sample); plot(sample,ell1mag(epsilon,m1,z)) for k=winsid(),xdel(k);end //==================================================== // ../man/signal/eqfir.man //==================================================== clear;lines(0); hn=eqfir(33,[0 .2;.25 .35;.4 .5],[0 1 0],[1 1 1]); [hm,fr]=frmag(hn,256); plot(fr,hm), for k=winsid(),xdel(k);end //==================================================== // ../man/signal/eqiir.man //==================================================== clear;lines(0); [cells,fact,zzeros,zpoles]=... eqiir('lp','ellip',[2*%pi/10,4*%pi/10],0.02,0.001) transfer=fact*poly(zzeros,'z')/poly(zpoles,'z') for k=winsid(),xdel(k);end //==================================================== // ../man/signal/faurre.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/ffilt.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/fft.man //==================================================== clear;lines(0); a=[1;2;3];n=size(a,'*'); norm(1/n*exp(2*%i*%pi*(0:n-1)'.*.(0:n-1)/n)*a -fft(a,1)) norm(exp(-2*%i*%pi*(0:n-1)'.*.(0:n-1)/n)*a -fft(a,-1)) for k=winsid(),xdel(k);end //==================================================== // ../man/signal/filter.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/find_freq.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/findm.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/frfit.man //==================================================== clear;lines(0); w=0.01:0.01:2;s=poly(0,'s'); G=syslin('c',2*(s^2+0.1*s+2), (s^2+s+1)*(s^2+0.3*s+1)); fresp=repfreq(G,w); Gid=frfit(w,fresp,4); frespfit=repfreq(Gid,w); bode(w,[fresp;frespfit]) for k=winsid(),xdel(k);end //==================================================== // ../man/signal/frmag.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/fsfirlin.man //==================================================== clear;lines(0); // //Example of how to use the fsfirlin macro for the design //of an FIR filter by a frequency sampling technique. // //Two filters are designed : the first (response hst1) with //abrupt transitions from 0 to 1 between passbands and stop //bands; the second (response hst2) with one sample in each //transition band (amplitude 0.5) for smoothing. // hd=[zeros(1,15) ones(1,10) zeros(1,39)];//desired samples hst1=fsfirlin(hd,1);//filter with no sample in the transition hd(15)=.5;hd(26)=.5;//samples in the transition bands hst2=fsfirlin(hd,1);//corresponding filter pas=1/prod(size(hst1))*.5; fg=0:pas:.5;//normalized frequencies grid plot2d([1 1].*.fg(1:257)',[hst1' hst2']); // 2nd example hd=[0*ones(1,15) ones(1,10) 0*ones(1,39)];//desired samples hst1=fsfirlin(hd,1);//filter with no sample in the transition hd(15)=.5;hd(26)=.5;//samples in the transition bands hst2=fsfirlin(hd,1);//corresponding filter pas=1/prod(size(hst1))*.5; fg=0:pas:.5;//normalized frequencies grid n=prod(size(hst1)) plot(fg(1:n),hst1); plot2d(fg(1:n)',hst2',[3],"000"); for k=winsid(),xdel(k);end //==================================================== // ../man/signal/group.man //==================================================== clear;lines(0); z=poly(0,'z'); h=z/(z-.5); [tg,fr]=group(100,h); plot(fr,tg) for k=winsid(),xdel(k);end //==================================================== // ../man/signal/hank.man //==================================================== clear;lines(0); //Example of how to use the hank macro for //building a Hankel matrix from multidimensional //data (covariance or Markov parameters e.g.) // //This is used e.g. in the solution of normal equations //by classical identification methods (Instrumental Variables e.g.) // //1)let's generate the multidimensional data under the form : // C=[c_0 c_1 c_2 .... c_n] //where each bloc c_k is a d-dimensional matrix (e.g. the k-th correlation //of a d-dimensional stochastic process X(t) [c_k = E(X(t) X'(t+k)], ' //being the transposition in scilab) // //we take here d=2 and n=64 // c=rand(2,2*64) // //generate the hankel matrix H (with 4 bloc-rows and 5 bloc-columns) //from the data in c // H=hank(4,5,c); // for k=winsid(),xdel(k);end //==================================================== // ../man/signal/hilb.man //==================================================== clear;lines(0); plot(hilb(51)) for k=winsid(),xdel(k);end //==================================================== // ../man/signal/iir.man //==================================================== clear;lines(0); hz=iir(3,'bp','ellip',[.15 .25],[.08 .03]); [hzm,fr]=frmag(hz,256); plot2d(fr',hzm') xtitle('Discrete IIR filter band pass 0.15<fr<0.25 ',' ',' '); q=poly(0,'q'); //to express the result in terms of the ... hzd=horner(hz,1/q) //delay operator q=z^-1 for k=winsid(),xdel(k);end //==================================================== // ../man/signal/iirgroup.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/iirlp.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/intdec.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/jmat.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/kalm.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/lattn.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/lattp.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/lev.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/levin.man //==================================================== clear;lines(0); //We use the 'levin' macro for solving the normal equations //on two examples: a one-dimensional and a two-dimensional process. //We need the covariance sequence of the stochastic process. //This example may usefully be compared with the results from //the 'phc' macro (see the corresponding help and example in it) // // //1) A one-dimensional process // ------------------------- // //We generate the process defined by two sinusoids (1Hz and 2 Hz) //in additive Gaussian noise (this is the observed process); //the simulated process is sampled at 10 Hz (step 0.1 in t, underafter). // t1=0:.1:100;rand('normal'); y1=sin(2*%pi*t1)+sin(2*%pi*2*t1);y1=y1+rand(y1);plot(t1,y1); // //covariance of y1 // nlag=128; c1=corr(y1,nlag); c1=c1';//c1 needs to be given columnwise (see the section PARAMETERS of this help) // //compute the filter for a maximum order of n=10 //la is a list-type variable each element of which //containing the filters of order ranging from 1 to n; (try varying n) //in the d-dimensional case this is a matrix polynomial (square, d X d) //sig gives, the same way, the mean-square error // n=15; [la1,sig1]=levin(n,c1); // //verify that the roots of 'la' contain the //frequency spectrum of the observed process y //(remember that y is sampled -in our example //at 10Hz (T=0.1s) so that we need to retrieve //the original frequencies (1Hz and 2 Hz) through //the log and correct scaling by the frequency sampling) //we verify this for each filter order // for i=1:n, s1=roots(la1(i));s1=log(s1)/2/%pi/.1; // //now we get the estimated poles (sorted, positive ones only !) // s1=sort(imag(s1));s1=s1(1:i/2);end; // //the last two frequencies are the ones really present in the observed //process ---> the others are "artifacts" coming from the used model size. //This is related to the rather difficult problem of order estimation. // //2) A 2-dimensional process // ----------------------- //(4 frequencies 1, 2, 3, and 4 Hz, sampled at 0.1 Hz : // |y_1| y_1=sin(2*Pi*t)+sin(2*Pi*2*t)+Gaussian noise // y=| | with : // |y_2| y_2=sin(2*Pi*3*t)+sin(2*Pi*4*t)+Gaussian noise // // d=2;dt=0.1; nlag=64; t2=0:2*%pi*dt:100; y2=[sin(t2)+sin(2*t2)+rand(t2);sin(3*t2)+sin(4*t2)+rand(t2)]; c2=[]; for j=1:2, for k=1:2, c2=[c2;corr(y2(k,:),y2(j,:),nlag)];end;end; c2=matrix(c2,2,128);cov=[]; for j=1:64,cov=[cov;c2(:,(j-1)*d+1:j*d)];end;//covar. columnwise c2=cov; // //in the multidimensional case, we have to compute the //roots of the determinant of the matrix polynomial //(easy in the 2-dimensional case but tricky if d>=3 !). //We just do that here for the maximum desired //filter order (n); mp is the matrix polynomial of degree n // [la2,sig2]=levin(n,c2); mp=la2(n);determinant=mp(1,1)*mp(2,2)-mp(1,2)*mp(2,1); s2=roots(determinant);s2=log(s2)/2/%pi/0.1;//same trick as above for 1D process s2=sort(imag(s2));s2=s2(1:d*n/2);//just the positive ones ! // //There the order estimation problem is seen to be much more difficult ! //many artifacts ! The 4 frequencies are in the estimated spectrum //but beneath many non relevant others. // for k=winsid(),xdel(k);end //==================================================== // ../man/signal/lgfft.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/lindquist.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/mese.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/mfft.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/mrfit.man //==================================================== clear;lines(0); w=0.01:0.01:2;s=poly(0,'s'); G=syslin('c',2*(s^2+0.1*s+2),(s^2+s+1)*(s^2+0.3*s+1)); // syslin('c',Num,Den); fresp=repfreq(G,w); mag=abs(fresp); Gid=mrfit(w,mag,4); frespfit=repfreq(Gid,w); plot2d([w',w'],[mag(:),abs(frespfit(:))]) for k=winsid(),xdel(k);end //==================================================== // ../man/signal/phc.man //==================================================== clear;lines(0); // //This example may usefully be compared with the results from //the 'levin' macro (see the corresponding help and example) // //We consider the process defined by two sinusoids (1Hz and 2 Hz) //in additive Gaussian noise (this is the observation); //the simulated process is sampled at 10 Hz. // t=0:.1:100;rand('normal'); y=sin(2*%pi*t)+sin(2*%pi*2*t);y=y+rand(y);plot(t,y) // //covariance of y // nlag=128; c=corr(y,nlag); // //hankel matrix from the covariance sequence //(we can choose to take more information from covariance //by taking greater n and m; try it to compare the results ! // n=20;m=20; h=hank(n,m,c); // //compute the Markov representation (mh,mf,mg) //We just take here a state dimension equal to 4 : //this is the rather difficult problem of estimating the order ! //Try varying ns ! //(the observation dimension is here equal to one) ns=4; [mh,mf,mg]=phc(h,1,ns); // //verify that the spectrum of mf contains the //frequency spectrum of the observed process y //(remember that y is sampled -in our example //at 10Hz (T=0.1s) so that we need //to retrieve the original frequencies through the log //and correct scaling by the frequency sampling) // s=spec(mf);s=log(s); s=s/2/%pi/.1; // //now we get the estimated spectrum imag(s), // for k=winsid(),xdel(k);end //==================================================== // ../man/signal/pspect.man //==================================================== clear;lines(0); rand('normal');rand('seed',0); x=rand(1:1024-33+1); //make low-pass filter with eqfir nf=33;bedge=[0 .1;.125 .5];des=[1 0];wate=[1 1]; h=eqfir(nf,bedge,des,wate); //filter white data to obtain colored data h1=[h 0*ones(1:maxi(size(x))-1)]; x1=[x 0*ones(1:maxi(size(h))-1)]; hf=fft(h1,-1); xf=fft(x1,-1);yf=hf.*xf;y=real(fft(yf,1)); //plot magnitude of filter //h2=[h 0*ones(1:968)];hf2=fft(h2,-1);hf2=real(hf2.*conj(hf2)); //hsize=maxi(size(hf2));fr=(1:hsize)/hsize;plot(fr,log(hf2)); //pspect example sm=pspect(100,200,'tr',y);smsize=maxi(size(sm));fr=(1:smsize)/smsize; plot(fr,log(sm)); rand('unif'); for k=winsid(),xdel(k);end //==================================================== // ../man/signal/remez.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/remezb.man //==================================================== clear;lines(0); // Choose the number of cosine functions and create a dense grid // in [0,.24) and [.26,.5) nc=21;ngrid=nc*16; fg=.24*(0:ngrid/2-1)/(ngrid/2-1); fg(ngrid/2+1:ngrid)=fg(1:ngrid/2)+.26*ones(1:ngrid/2); // Specify a low pass filter magnitude for the desired response ds(1:ngrid/2)=ones(1:ngrid/2); ds(ngrid/2+1:ngrid)=zeros(1:ngrid/2); // Specify a uniform weighting function wt=ones(fg); // Run remezb an=remezb(nc,fg,ds,wt) // Make a linear phase FIR filter hn(1:nc-1)=an(nc:-1:2)/2; hn(nc)=an(1); hn(nc+1:2*nc-1)=an(2:nc)/2; // Plot the filter's magnitude response plot(.5*(0:255)/256,frmag(hn,256)); ////////////// // Choose the number of cosine functions and create a dense grid in [0,.5) nc=21; ngrid=nc*16; fg=.5*(0:(ngrid-1))/ngrid; // Specify a triangular shaped magnitude for the desired response ds(1:ngrid/2)=(0:ngrid/2-1)/(ngrid/2-1); ds(ngrid/2+1:ngrid)=ds(ngrid/2:-1:1); // Specify a uniform weighting function wt=ones(fg); // Run remezb an=remezb(nc,fg,ds,wt) // Make a linear phase FIR filter hn(1:nc-1)=an(nc:-1:2)/2; hn(nc)=an(1); hn(nc+1:2*nc-1)=an(2:nc)/2; // Plot the filter's magnitude response plot(.5*(0:255)/256,frmag(hn,256)); for k=winsid(),xdel(k);end //==================================================== // ../man/signal/rpem.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/sinc.man //==================================================== clear;lines(0); plot(sinc(100,0.1)) for k=winsid(),xdel(k);end //==================================================== // ../man/signal/sincd.man //==================================================== clear;lines(0); plot(sincd(10,1)) for k=winsid(),xdel(k);end //==================================================== // ../man/signal/srfaur.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/srkf.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/sskf.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/system.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/trans.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/wfir.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/wiener.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/wigner.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/window.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/yulewalk.man //==================================================== clear;lines(0); f=[0,0.4,0.4,0.6,0.6,1];H=[0,0,1,1,0,0];Hz=yulewalk(8,f,H); fs=1000;fhz = f*fs/2; xbasc(0);xset('window',0);plot2d(fhz',H'); xtitle('Desired Frequency Response (Magnitude)') [frq,repf]=repfreq(Hz,0:0.001:0.5); xbasc(1);xset('window',1);plot2d(fs*frq',abs(repf')); xtitle('Obtained Frequency Response (Magnitude)') for k=winsid(),xdel(k);end //==================================================== // ../man/signal/zpbutt.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/zpch1.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/zpch2.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/signal/zpell.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/sound/analyze.man //==================================================== clear;lines(0); // At first we create 0.5 seconds of sound parameters. t=soundsec(0.5); // Then we generate the sound. s=sin(440*t)+sin(220*t)/2+sin(880*t)/2; [nr,nc]=size(t); s(nc/2:nc)=sin(330*t(nc/2:nc)); analyze(s); for k=winsid(),xdel(k);end //==================================================== // ../man/sound/loadwave.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/sound/mapsound.man //==================================================== clear;lines(0); // At first we create 0.5 seconds of sound parameters. t=soundsec(0.5); // Then we generate the sound. s=sin(440*t)+sin(220*t)/2+sin(880*t)/2; [nr,nc]=size(t); s(nc/2:nc)=sin(330*t(nc/2:nc)); mapsound(s); for k=winsid(),xdel(k);end //==================================================== // ../man/sound/savewave.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/tdcs/artest.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/tdcs/bifish.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/tdcs/boucle.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/tdcs/chaintest.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/tdcs/fishing.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/tdcs/fusee.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/tdcs/lotest.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/tdcs/mine.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/tdcs/obscont1.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/tdcs/portr3d.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/tdcs/portrait.man //==================================================== clear;lines(0); a=rand(2,2) deff('[ydot]=l_s(t,y)','ydot=a*y') portrait(l_s) for k=winsid(),xdel(k);end //==================================================== // ../man/tdcs/recur.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/tdcs/systems.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/tdcs/tangent.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/tdcs/tdinit.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/translation/ascii.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/translation/excel2sci.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/translation/mfile2sci.man //==================================================== clear;lines(0); //create a simple m_file write(TMPDIR+'rot90.m',['function B = rot90(A,k)' '[m,n] = size(A);' 'if nargin == 1' ' k = 1;' 'else' ' k = rem(k,4);' ' if k < 0' ' k = k + 4;' ' end' 'end' 'if k == 1' ' A = A.'';' ' B = A(n:-1:1,:);' 'elseif k == 2' ' B = A(m:-1:1,n:-1:1);' 'elseif k == 3' ' B = A(m:-1:1,:);' ' B = B.'';' 'else' ' B = A;' 'end']); // translate it dor scilab for k=winsid(),xdel(k);end //==================================================== // ../man/translation/mtlb_load.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/translation/mtlb_save.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/translation/pol2tex.man //==================================================== clear;lines(0); s=poly(0,'s'); p=s^3+2*s-5; pol2tex(p) for k=winsid(),xdel(k);end //==================================================== // ../man/translation/sci2for.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/translation/texprint.man //==================================================== clear;lines(0); s=poly(0,'s'); texprint([1/s,s^2]) for k=winsid(),xdel(k);end //==================================================== // ../man/translation/translatepaths.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/tksci/ScilabEval.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/tksci/TK_EvalFile.man //==================================================== for k=winsid(),xdel(k);end //==================================================== // ../man/tksci/TK_EvalStr.man //==================================================== clear;lines(0); TK_EvalStr('toplevel .foo'); // creates a toplevel TK window. TK_EvalStr('label .foo.l -text ""TK married Scilab !!!""'); // create a static label TK_EvalStr('pack .foo.l'); // pack the label widget. It appears on the screen. text='button .foo.b -text close -command {destroy .foo}'; TK_EvalStr(text); TK_EvalStr('pack .foo.b'); for k=winsid(),xdel(k);end //==================================================== // ../man/tksci/TK_GetVar.man //==================================================== clear;lines(0); TK_EvalStr('toplevel .foo'); // creates a toplevel TK window. TK_EvalStr('entry .foo.e -textvariable tvar'); // create an editable entry TK_EvalStr('set tvar foobar'); // set the entry value TK_EvalStr('pack .foo.e'); // pack the entry widget. It appears on the screen. text=TK_GetVar('tvar') // retrieve the variable value // change the entry text and repeat the last command ... for k=winsid(),xdel(k);end //==================================================== // ../man/tksci/TK_SetVar.man //==================================================== clear;lines(0); // creates a toplevel TK window. TK_EvalStr('label .foo.l -textvariable tvar'); // create a static label TK_EvalStr('pack .foo.l'); // pack the label widget. It appears on the screen. TK_SetVar('tvar','This text has been set directly within scilab'); for k=winsid(),xdel(k);end //==================================================== // ../man/tksci/close.man //==================================================== clear;lines(0); h=figure(); // creates figure number 1. uicontrol( h, 'style','text', ... 'string','scilab is great', ... 'position',[50 70 100 100], ... 'fontsize',15); // put a clever text in figure 1 figure(); // create figure 2 uicontrol( 'style','text', ... 'string','Really great', 'position',[50 70 100 100], 'fontsize',15); // put a text in figure 2 close(); // close the current graphic window (ie fig. 2) close(h); // close figure 1 for k=winsid(),xdel(k);end //==================================================== // ../man/tksci/figure.man //==================================================== clear;lines(0); h=figure(3); // creates figure number 1. uicontrol( h, 'style','text', ... 'string','This is a figure', ... 'position',[50 70 100 100], ... 'fontsize',15); // put a text in figure 3 figure(); // create figure 1 uicontrol( 'style','text', ... 'string','Another figure', ... 'position',[50 70 100 100], ... 'fontsize',15); // put a text in figure 1 close(); // close the current graphic window (ie fig. 1) close(h); // close figure 3 for k=winsid(),xdel(k);end //==================================================== // ../man/tksci/findobj.man //==================================================== clear;lines(0); h=figure(); // creates figure number 1. uicontrol( h, 'style','text', ... 'string','This is a figure', ... 'position',[50 70 100 100], ... 'fontsize',15, ... 'tag','Alabel'); // put a text in figure 1 lab=findobj('tag','Alabel'); // find the object which 'tag' value is 'Alabel' disp('the handle of the label is '+string(lab)); close(); for k=winsid(),xdel(k);end //==================================================== // ../man/tksci/gcf.man //==================================================== clear;lines(0); figure(5); figure(); figure(); gcf() // returns 2 close(gcf()); // close figure 2 gcf() // returns 1 close(1); gcf() // returns 5 close(5); for k=winsid(),xdel(k);end //==================================================== // ../man/tksci/get.man //==================================================== clear;lines(0); h=uicontrol('string', 'Button'); // Opens a window with a button. p=get(h,'position'); // get the geometric qspect of the button disp('Button width: ' + string(p(3))); // print the width of the button close(); // close figure for k=winsid(),xdel(k);end //==================================================== // ../man/tksci/set.man //==================================================== clear;lines(0); h=uicontrol('string', 'Button'); // Opens a window with a button. set(h,'position',[ 50 50 100 100]); // set the geometric aspect of the button close(); // close figure for k=winsid(),xdel(k);end //==================================================== // ../man/tksci/uicontrol.man //==================================================== clear;lines(0); f=figure(); // create a figure h=uicontrol(f,'style','listbox', ... 'position', [10 10 150 160]); // create a listbox set(h, 'string', "item 1|item 2|item3"); // fill the list set(h, 'value', [1 3]); // select item 1 and 3 in the list close(); // close the figure f=figure(); // create a figure h=uicontrol(f,'style','listbox', ... 'position', [10 10 150 160]); // create a listbox set(h, 'string', "item 1|item 2|item3"); // fill the list set(h, 'value', [1 3]); // select (highlight) the item 1 and 3 in the list close(); //close the figure for k=winsid(),xdel(k);end //==================================================== // ../man/tksci/uimenu.man //==================================================== clear;lines(0); f=figure('position', [10 10 300 200]); // create a figure m=uimenu(f,'label', 'windows'); // create an item on the menu bar m1=uimenu(m,'label', 'operations'); m2=uimenu(m,'label', 'quit scilab', 'callback', "exit"); //create two items in the menu "windows" m11=uimenu(m1,'label', 'new window', 'callback',"xselect()"); m12=uimenu(m1,'label', 'clear window', 'callback',"xbasc()"); // create a submenu to the item "operations" close(f); // close the figure for k=winsid(),xdel(k);end
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//Chemical Engineering Thermodynamics //Chapter 3 //First Law of Thermodynamics //Example 3.9 clear; clc; //To calculate the mass of steam required //Given m2 = 100;//mass of water to be heated //From diagram, //m3 = m1+m2;..(a) //Hs = H1;..(b) since throttling is a constant enthalpy process //m3*H3-(m1*H1+m2*H2)=0;..(c) since delH=0 //From steam tables, Hs = 681.7//enthalpy of steam at 200 deg cel bleeded at the rate of 5Kgf/(cm^2) in Kcal/Kg H2 = 5.03;//enthalpy of liquid water at 5 deg cel H3 = 64.98;//enthalpy of liquid water at 65 deg cel //from equn (a),(b)&(c);(page no 80) m1 = ((H3-H2)/(Hs-H3))*m2;//mass of steam required in Kg (page no 80) mprintf('The mass of steam required to heat 100 Kg of water is %f Kg',m1); //end
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THE OPTIMIZATION ALGORITHM HAS CHANGED TO THE EM ALGORITHM. ESTIMATED COVARIANCE MATRIX FOR PARAMETER ESTIMATES 1 2 3 4 5 ________ ________ ________ ________ ________ 1 0.265391D+00 2 -0.164422D-02 0.213810D-02 3 -0.718585D-01 0.989034D-03 0.438802D+00 4 0.136690D-04 -0.486565D-03 -0.575194D-02 0.378751D-02 5 -0.119096D-02 -0.106610D-04 -0.122024D-02 0.158110D-03 0.376653D-02 6 0.712471D-03 -0.593536D-04 0.581430D-03 -0.162252D-03 0.353729D-03 7 0.342612D-03 -0.938724D-04 0.354137D-02 -0.357488D-03 0.498383D-03 8 -0.194962D-02 -0.781706D-04 0.475843D-03 0.440594D-04 0.279374D-03 9 -0.436217D+00 0.252947D-01 0.576473D-01 0.278798D-01 0.408832D-01 10 -0.371030D+00 -0.230661D-02 0.951870D-01 0.156675D-01 0.174138D+00 11 0.120653D-01 -0.405420D-02 -0.107847D-01 -0.130899D-01 -0.117777D+00 12 -0.472342D+00 0.343454D-01 0.763186D+00 0.298307D-01 -0.175127D-02 13 0.885836D-01 -0.170512D-01 0.219110D+00 -0.185497D-01 0.287350D-01 14 -0.304524D+00 -0.689290D-02 0.240824D+00 0.234190D-02 0.715463D-01 15 -0.228541D+01 -0.267781D-01 0.431990D+00 -0.136025D-01 -0.890459D-01 16 -0.200903D-01 -0.761477D-02 -0.568801D-02 0.844959D-03 0.863641D-04 17 0.543898D-02 0.668479D-04 0.359220D-04 0.219720D-04 -0.370214D-03 18 0.224938D+00 0.282062D-02 -0.179263D+00 -0.132899D-01 0.147649D-01 19 -0.621213D-01 0.107571D-01 0.480712D-01 0.836336D-02 0.202544D-01 20 0.606242D+00 0.626172D-02 0.151935D+01 0.135345D-01 -0.277678D-01 21 0.577406D-01 -0.705256D-02 -0.894347D-01 -0.427162D-02 -0.244107D-01 22 0.577561D-03 0.255157D-04 0.422063D-02 0.126999D-03 0.325360D-03 23 0.325642D-03 0.110604D-02 -0.166713D-01 0.116899D-01 -0.315734D-02 24 -0.391171D-03 -0.111767D-03 0.309996D-02 -0.397827D-03 0.312594D-03 ESTIMATED COVARIANCE MATRIX FOR PARAMETER ESTIMATES 6 7 8 9 10 ________ ________ ________ ________ ________ 6 0.683201D-03 7 0.116708D-02 0.587879D-02 8 0.161586D-03 0.834884D-03 0.323049D-02 9 -0.906357D-02 -0.523259D-01 0.625231D-02 0.336844D+02 10 0.254798D-03 0.138645D-01 0.190431D-01 0.182674D+01 0.169251D+02 11 0.381828D-02 0.134884D-01 -0.220727D-01 -0.114080D+02 -0.557707D+01 12 -0.732833D-01 -0.135542D+00 0.579281D-01 0.515829D+01 0.431764D+01 13 0.741345D-01 0.211540D+00 0.401252D-01 -0.697236D-01 -0.556220D+00 14 0.574339D-01 0.214207D+00 0.423841D+00 0.372019D+01 0.651524D+01 15 0.133778D-02 0.527335D-01 0.766945D-01 0.251501D+01 -0.370096D+01 16 0.608921D-03 0.431220D-03 0.837685D-03 0.519181D+00 -0.152759D-01 17 -0.464141D-04 -0.136547D-03 -0.222393D-03 -0.113397D+00 -0.364254D-01 18 -0.508210D-01 -0.279516D+00 -0.771634D-01 0.130512D+02 0.481351D-01 19 -0.107662D-01 -0.133304D-01 0.250382D-03 0.413497D+01 0.898387D+00 20 -0.518239D-01 -0.163849D+00 -0.381804D+00 0.398236D+01 0.110982D+01 21 0.105506D-01 0.120987D-01 -0.395575D-02 -0.421942D+01 -0.109737D+01 22 -0.545476D-04 0.472953D-03 0.617336D-03 -0.559641D-01 0.235135D-01 23 -0.257902D-02 -0.733139D-02 -0.173181D-02 0.262085D+00 -0.566263D-01 24 0.409601D-03 0.120242D-02 0.530285D-03 -0.366952D-01 0.237639D-02 ESTIMATED COVARIANCE MATRIX FOR PARAMETER ESTIMATES 11 12 13 14 15 ________ ________ ________ ________ ________ 11 0.380234D+02 12 -0.170748D+02 0.171367D+03 13 -0.298578D+01 -0.991272D+01 0.186738D+02 14 -0.815201D+01 0.522174D+01 0.108809D+02 0.118607D+03 15 0.820660D+01 0.463015D+01 -0.402938D+00 0.107579D+02 0.179397D+03 16 -0.903210D-01 -0.366087D+00 0.218085D+00 0.295251D+00 0.156478D+01 17 -0.112836D-01 -0.121852D-01 0.964928D-02 -0.416463D-01 -0.858711D+00 18 -0.983733D+01 0.336828D+01 -0.903916D+01 -0.525176D+01 -0.387074D+02 19 -0.204641D+01 0.242159D+01 -0.169776D+01 0.146968D+01 0.942785D+00 20 0.484619D+01 -0.236383D+02 -0.370958D+01 -0.796799D+02 -0.106616D+01 21 0.241706D+01 -0.371808D+01 0.170683D+01 -0.172945D+01 -0.890343D+00 22 -0.178260D-01 0.137151D+00 -0.121446D-01 0.682616D-01 0.793986D-01 23 -0.924799D-01 0.143679D+01 -0.463243D+00 -0.471899D+00 -0.858023D+00 24 0.565654D-02 -0.163986D+00 0.514042D-01 0.452452D-01 0.429019D-01 ESTIMATED COVARIANCE MATRIX FOR PARAMETER ESTIMATES 16 17 18 19 20 ________ ________ ________ ________ ________ 16 0.361169D+00 17 -0.213833D-01 0.112707D-01 18 0.326180D+00 0.284780D-01 0.191373D+03 19 -0.201934D+00 -0.239058D-02 0.404968D+01 0.627015D+01 20 -0.478336D+00 0.109782D-01 -0.493430D+02 -0.126741D+01 0.552843D+03 21 -0.171839D-01 0.160010D-01 -0.198421D+01 -0.587002D+01 0.105447D+01 22 0.479330D-02 -0.118623D-02 -0.836084D+00 -0.145283D-01 0.157734D+00 23 0.308875D-01 -0.369324D-02 0.751038D-01 0.577525D-02 0.565341D+01 24 -0.520530D-02 0.184115D-03 0.157130D+00 0.559821D-02 -0.248644D+01 ESTIMATED COVARIANCE MATRIX FOR PARAMETER ESTIMATES 21 22 23 24 ________ ________ ________ ________ 21 0.682378D+01 22 -0.446332D-01 0.962941D-02 23 -0.337572D+00 0.120874D-01 0.902491D+00 24 0.166020D-01 -0.338989D-02 -0.816383D-01 0.268793D-01 ESTIMATED CORRELATION MATRIX FOR PARAMETER ESTIMATES 1 2 3 4 5 ________ ________ ________ ________ ________ 1 1.000 2 -0.069 1.000 3 -0.211 0.032 1.000 4 0.000 -0.171 -0.141 1.000 5 -0.038 -0.004 -0.030 0.042 1.000 6 0.053 -0.049 0.034 -0.101 0.221 7 0.009 -0.026 0.070 -0.076 0.106 8 -0.067 -0.030 0.013 0.013 0.080 9 -0.146 0.094 0.015 0.078 0.115 10 -0.175 -0.012 0.035 0.062 0.690 11 0.004 -0.014 -0.003 -0.034 -0.311 12 -0.070 0.057 0.088 0.037 -0.002 13 0.040 -0.085 0.077 -0.070 0.108 14 -0.054 -0.014 0.033 0.003 0.107 15 -0.331 -0.043 0.049 -0.017 -0.108 16 -0.065 -0.274 -0.014 0.023 0.002 17 0.099 0.014 0.001 0.003 -0.057 18 0.032 0.004 -0.020 -0.016 0.017 19 -0.048 0.093 0.029 0.054 0.132 20 0.050 0.006 0.098 0.009 -0.019 21 0.043 -0.058 -0.052 -0.027 -0.152 22 0.011 0.006 0.065 0.021 0.054 23 0.001 0.025 -0.026 0.200 -0.054 24 -0.005 -0.015 0.029 -0.039 0.031 ESTIMATED CORRELATION MATRIX FOR PARAMETER ESTIMATES 6 7 8 9 10 ________ ________ ________ ________ ________ 6 1.000 7 0.582 1.000 8 0.109 0.192 1.000 9 -0.060 -0.118 0.019 1.000 10 0.002 0.044 0.081 0.077 1.000 11 0.024 0.029 -0.063 -0.319 -0.220 12 -0.214 -0.135 0.078 0.068 0.080 13 0.656 0.638 0.163 -0.003 -0.031 14 0.202 0.257 0.685 0.059 0.145 15 0.004 0.051 0.101 0.032 -0.067 16 0.039 0.009 0.025 0.149 -0.006 17 -0.017 -0.017 -0.037 -0.184 -0.083 18 -0.141 -0.264 -0.098 0.163 0.001 19 -0.164 -0.069 0.002 0.285 0.087 20 -0.084 -0.091 -0.286 0.029 0.011 21 0.155 0.060 -0.027 -0.278 -0.102 22 -0.021 0.063 0.111 -0.098 0.058 23 -0.104 -0.101 -0.032 0.048 -0.014 24 0.096 0.096 0.057 -0.039 0.004 ESTIMATED CORRELATION MATRIX FOR PARAMETER ESTIMATES 11 12 13 14 15 ________ ________ ________ ________ ________ 11 1.000 12 -0.212 1.000 13 -0.112 -0.175 1.000 14 -0.121 0.037 0.231 1.000 15 0.099 0.026 -0.007 0.074 1.000 16 -0.024 -0.047 0.084 0.045 0.194 17 -0.017 -0.009 0.021 -0.036 -0.604 18 -0.115 0.019 -0.151 -0.035 -0.209 19 -0.133 0.074 -0.157 0.054 0.028 20 0.033 -0.077 -0.037 -0.311 -0.003 21 0.150 -0.109 0.151 -0.061 -0.025 22 -0.029 0.107 -0.029 0.064 0.060 23 -0.016 0.116 -0.113 -0.046 -0.067 24 0.006 -0.076 0.073 0.025 0.020 ESTIMATED CORRELATION MATRIX FOR PARAMETER ESTIMATES 16 17 18 19 20 ________ ________ ________ ________ ________ 16 1.000 17 -0.335 1.000 18 0.039 0.019 1.000 19 -0.134 -0.009 0.117 1.000 20 -0.034 0.004 -0.152 -0.022 1.000 21 -0.011 0.058 -0.055 -0.897 0.017 22 0.081 -0.114 -0.616 -0.059 0.068 23 0.054 -0.037 0.006 0.002 0.253 24 -0.053 0.011 0.069 0.014 -0.645 ESTIMATED CORRELATION MATRIX FOR PARAMETER ESTIMATES 21 22 23 24 ________ ________ ________ ________ 21 1.000 22 -0.174 1.000 23 -0.136 0.130 1.000 24 0.039 -0.211 -0.524 1.000
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// This file is part of www.nand2tetris.org // and the book "The Elements of Computing Systems" // by Nisan and Schocken, MIT Press. // File name: projects/03/a/Register.tst load Register.hdl, output-file Register.out, compare-to Register.cmp, output-list time%S1.4.1 in%D1.6.1 load%B2.1.2 out%D1.6.1; set in 0, set load 0, tick, output; tock, output; set in 0, set load 1, tick, output; tock, output; set in -32123, set load 0, tick, output; tock, output; set in 11111, set load 0, tick, output; tock, output; set in -32123, set load 1, tick, output; tock, output; set in -32123, set load 1, tick, output; tock, output; set in -32123, set load 0, tick, output; tock, output; set in 12345, set load 1, tick, output; tock, output; set in 0, set load 0, tick, output; tock, output; set in 0, set load 1, tick, output; tock, output; set in %B0000000000000001, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B0000000000000010, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B0000000000000100, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B0000000000001000, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B0000000000010000, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B0000000000100000, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B0000000001000000, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B0000000010000000, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B0000000100000000, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B0000001000000000, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B0000010000000000, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B0000100000000000, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B0001000000000000, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B0010000000000000, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B0100000000000000, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B1000000000000000, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B1111111111111110, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B1111111111111101, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B1111111111111011, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B1111111111110111, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B1111111111101111, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B1111111111011111, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B1111111110111111, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B1111111101111111, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B1111111011111111, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B1111110111111111, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B1111101111111111, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B1111011111111111, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B1110111111111111, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B1101111111111111, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B1011111111111111, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output; set in %B0111111111111111, set load 0, tick, output; tock, output; set load 1, tick, output; tock, output;
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/2705/CH11/EX11.1/Ex11_1.sce
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Ex11_1.sce
clear; clc; disp('Example 11.1') // aim : To determine the // (a) bore of the cylinder // (b) piston stroke // (c) speed of the engine // Given values P_req = 60;// power required to develop, [kW] P = 1.25;// boiler pressure, [MN/m^2] Pb = .13;// back pressure, [MN/m^2] cut_off = .3;// [stroke] k = .82;// diagram factor n = .78;// mechanical efficiency LN = 3;// mean piston speed, [m/s] // solution // (a) r = 1/cut_off;// expansion ratio Pm = P/r*(1+log(r))-Pb;// mean effective pressure, [MN/m^2] P_ind = P_req/n;// Actual indicated power developed, [kW] P_the = P_ind/k;// Theoretical indicated power developed, [kW] // using indicated_power=Pm*LN*A // Hence A = P_the/(Pm*LN)*10^-3;// piston area,[m^2] d = sqrt(4*A/%pi)*10^3;// bore ,[mm] mprintf('\n (a) The bore of the cylinder is = %f mm\n',d); // (b) // given that stroke is 1.25 times bore L = 1.25*d;// [mm] mprintf('\n (b) The piston stroke is = %f mm\n',L); // (c) // LN=mean piston speed, where L is stroke in meter and N is 2*rev/s,(since engine is double_acting) // hence rev_per_sec = LN/(2*L*10^-3);// [rev/s] rev_per_min = rev_per_sec*60;// [rev/min] mprintf('\n (c) The speed of the engine is = %f rev/min\n',rev_per_min); // End
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gui.sce
// This GUI file is generated by guibuilder version 4.2.1 ////////// f=figure('figure_position',[451,378],'figure_size',[756,480],'auto_resize','on','background',[33],'figure_name','Figure n°%d','dockable','off','infobar_visible','off','toolbar_visible','off','menubar_visible','off','default_axes','on','visible','off'); ////////// handles.dummy = 0; handles.Pbutton_Image_Load=uicontrol(f,'unit','normalized','BackgroundColor',[-1,-1,-1],'Enable','on','FontAngle','normal','FontName','Tahoma','FontSize',[12],'FontUnits','points','FontWeight','normal','ForegroundColor',[-1,-1,-1],'HorizontalAlignment','center','ListboxTop',[],'Max',[1],'Min',[0],'Position',[0.6340541,0.8877273,0.1360256,0.0622727],'Relief','default','SliderStep',[0.01,0.1],'String','Load image','Style','pushbutton','Value',[0],'VerticalAlignment','middle','Visible','on','Tag','Pbutton_Image_Load','Callback','ImageLoad_callback(handles)') handles.PButton_Save_Button=uicontrol(f,'unit','normalized','BackgroundColor',[-1,-1,-1],'Enable','on','FontAngle','normal','FontName','Tahoma','FontSize',[12],'FontUnits','points','FontWeight','normal','ForegroundColor',[-1,-1,-1],'HorizontalAlignment','center','ListboxTop',[],'Max',[1],'Min',[0],'Position',[0.6340541,0.7429798,0.1360256,0.0622727],'Relief','default','SliderStep',[0.01,0.1],'String','Image save','Style','pushbutton','Value',[0],'VerticalAlignment','middle','Visible','on','Tag','PButton_Save_Button','Callback','SaveButton_callback(handles)') handles.windows= newaxes();handles.windows.margins = [ 0 0 0 0];handles.windows.axes_bounds = [0.0176282,0.0318182,0.6050641,0.9204545]; handles.Pbutton_apply_contour=uicontrol(f,'unit','normalized','BackgroundColor',[-1,-1,-1],'Enable','on','FontAngle','normal','FontName','Tahoma','FontSize',[12],'FontUnits','points','FontWeight','normal','ForegroundColor',[-1,-1,-1],'HorizontalAlignment','center','ListboxTop',[],'Max',[1],'Min',[0],'Position',[0.6340541,0.6706061,0.1060256,0.0622727],'Relief','default','SliderStep',[0.01,0.1],'String','contour','Style','pushbutton','Value',[0],'VerticalAlignment','middle','Visible','on','Tag','Pbutton_apply_contour','Callback','Pbutton_apply_contour_callback(handles)') handles.edit=uicontrol(f,'unit','normalized','BackgroundColor',[-1,-1,-1],'Enable','on','FontAngle','normal','FontName','Tahoma','FontSize',[12],'FontUnits','points','FontWeight','normal','ForegroundColor',[-1,-1,-1],'HorizontalAlignment','left','ListboxTop',[],'Max',[1],'Min',[0],'Position',[0.6346154,0.0759091,0.1828205,0.0631818],'Relief','default','SliderStep',[0.01,0.1],'String','0','Style','edit','Value',[0],'VerticalAlignment','middle','Visible','on','Tag','edit','Callback','') handles.Pbutton_bruiter=uicontrol(f,'unit','normalized','BackgroundColor',[-1,-1,-1],'Enable','on','FontAngle','normal','FontName','Tahoma','FontSize',[12],'FontUnits','points','FontWeight','normal','ForegroundColor',[-1,-1,-1],'HorizontalAlignment','center','ListboxTop',[],'Max',[1],'Min',[0],'Position',[0.6340541,0.5982323,0.0960256,0.0622727],'Relief','default','SliderStep',[0.01,0.1],'String','bruiter','Style','pushbutton','Value',[0],'VerticalAlignment','middle','Visible','on','Tag','Pbutton_bruiter','Callback','Pbutton_bruiter_callback(handles)') handles.Pbutton_reset=uicontrol(f,'unit','normalized','BackgroundColor',[-1,-1,-1],'Enable','on','FontAngle','normal','FontName','Tahoma','FontSize',[12],'FontUnits','points','FontWeight','normal','ForegroundColor',[-1,-1,-1],'HorizontalAlignment','center','ListboxTop',[],'Max',[1],'Min',[0],'Position',[0.6340541,0.8153536,0.0860256,0.0622727],'Relief','default','SliderStep',[0.01,0.1],'String','Reset','Style','pushbutton','Value',[0],'VerticalAlignment','middle','Visible','on','Tag','Pbutton_reset','Callback','Pbutton_reset_callback(handles)') handles.Pbutton_bruite_imp=uicontrol(f,'unit','normalized','BackgroundColor',[-1,-1,-1],'Enable','on','FontAngle','normal','FontName','Tahoma','FontSize',[12],'FontUnits','points','FontWeight','normal','ForegroundColor',[-1,-1,-1],'HorizontalAlignment','center','ListboxTop',[],'Max',[1],'Min',[0],'Position',[0.6340541,0.5258586,0.1860256,0.0622727],'Relief','default','SliderStep',[0.01,0.1],'String','bruiter impulsionnel','Style','pushbutton','Value',[0],'VerticalAlignment','middle','Visible','on','Tag','Pbutton_bruite_imp','Callback','Pbutton_bruite_imp_callback(handles)') handles.Pbutton_im_moyenne=uicontrol(f,'unit','normalized','BackgroundColor',[-1,-1,-1],'Enable','on','FontAngle','normal','FontName','Tahoma','FontSize',[12],'FontUnits','points','FontWeight','normal','ForegroundColor',[-1,-1,-1],'HorizontalAlignment','center','ListboxTop',[],'Max',[1],'Min',[0],'Position',[0.6340541,0.4534848,0.1560256,0.0622727],'Relief','default','SliderStep',[0.01,0.1],'String','filtre moyenne','Style','pushbutton','Value',[0],'VerticalAlignment','middle','Visible','on','Tag','Pbutton_im_moyenne','Callback','Pbutton_im_moyenne_callback(handles)') handles.Pbutton_im_median=uicontrol(f,'unit','normalized','BackgroundColor',[-1,-1,-1],'Enable','on','FontAngle','normal','FontName','Tahoma','FontSize',[12],'FontUnits','points','FontWeight','normal','ForegroundColor',[-1,-1,-1],'HorizontalAlignment','center','ListboxTop',[],'Max',[1],'Min',[0],'Position',[0.6340541,0.3811111,0.1360256,0.0622727],'Relief','default','SliderStep',[0.01,0.1],'String','filtre median','Style','pushbutton','Value',[0],'VerticalAlignment','middle','Visible','on','Tag','Pbutton_im_median','Callback','Pbutton_im_median_callback(handles)') handles.Pbutton_extension_lineaire=uicontrol(f,'unit','normalized','BackgroundColor',[-1,-1,-1],'Enable','on','FontAngle','normal','FontName','Tahoma','FontSize',[12],'FontUnits','points','FontWeight','normal','ForegroundColor',[-1,-1,-1],'HorizontalAlignment','center','ListboxTop',[],'Max',[1],'Min',[0],'Position',[0.6340541,0.3087373,0.1760256,0.0622727],'Relief','default','SliderStep',[0.01,0.1],'String','extension lineaire','Style','pushbutton','Value',[0],'VerticalAlignment','middle','Visible','on','Tag','Pbutton_extension_lineaire','Callback','Pbutton_extension_lineaire_callback(handles)') handles.Pbutton_seuillage=uicontrol(f,'unit','normalized','BackgroundColor',[-1,-1,-1],'Enable','on','FontAngle','normal','FontName','Tahoma','FontSize',[12],'FontUnits','points','FontWeight','normal','ForegroundColor',[-1,-1,-1],'HorizontalAlignment','center','ListboxTop',[],'Max',[1],'Min',[0],'Position',[0.6340541,0.2363636,0.1060256,0.0622727],'Relief','default','SliderStep',[0.01,0.1],'String','seuillage','Style','pushbutton','Value',[0],'VerticalAlignment','middle','Visible','on','Tag','Pbutton_seuillage','Callback','Pbutton_seuillage_callback(handles)') handles.Pbutton_changement_echelle=uicontrol(f,'unit','normalized','BackgroundColor',[-1,-1,-1],'Enable','on','FontAngle','normal','FontName','Tahoma','FontSize',[12],'FontUnits','points','FontWeight','normal','ForegroundColor',[-1,-1,-1],'HorizontalAlignment','center','ListboxTop',[],'Max',[1],'Min',[0],'Position',[0.7898179,0.894797,0.2024934,0.0463636],'Relief','default','SliderStep',[0.01,0.1],'String','changement echelle ','Style','pushbutton','Value',[0],'VerticalAlignment','middle','Visible','on','Tag','Pbutton_changement_echelle','Callback','Pbutton_changement_echelle_callback(handles)') handles.Pbutton_histogramme=uicontrol(f,'unit','normalized','BackgroundColor',[-1,-1,-1],'Enable','on','FontAngle','normal','FontName','Tahoma','FontSize',[12],'FontUnits','points','FontWeight','normal','ForegroundColor',[-1,-1,-1],'HorizontalAlignment','center','ListboxTop',[],'Max',[1],'Min',[0],'Position',[0.7945946,0.8204545,0.1837838,0.0454545],'Relief','default','SliderStep',[0.01,0.1],'String','histogramme','Style','pushbutton','Value',[0],'VerticalAlignment','middle','Visible','on','Tag','Pbutton_histogramme','Callback','Pbutton_histogramme_callback(handles)') f.visible = "on"; ////////// // Callbacks are defined as below. Please do not delete the comments as it will be used in coming version ////////// exec("traitement.sce"); function ImageLoad_callback(handles) //Write your callback for ImageLoad here fn = uigetfile('*'); S = imread(fn); imshow(S); //Save image to pass to another function handles.S = S; handles.fn = fn; handles = resume(handles); endfunction function Pbutton_reset_callback(handles) //Write your callback for Pbutton_reset here S = imread(handles.fn); imshow(S); //Save image to pass to another function handles.S = S; handles = resume(handles); endfunction function SaveButton_callback(handles) //Write your callback for SaveButton here fn = uiputfile('*'); imwrite(handles.S, fn); endfunction function Pbutton_apply_contour_callback(handles) //Write your callback for Pbutton_apply_traitement here val = 0.5; S = im_contour(double(handles.S), val)/255; imshow(S); handles.S = S; handles = resume(handles); endfunction function Pbutton_bruiter_callback(handles) //Write your callback for Pbutton_bruiter here val = strtod(handles.edit.string); S = bruite(double(handles.S), val)/255; imshow(S); handles.S = S; handles = resume(handles); endfunction function Pbutton_bruite_imp_callback(handles) //Write your callback for Pbutton_bruite_imp here val = strtod(handles.edit.string); S = bruite_imp(double(handles.S), val)/255; imshow(S); handles.S = S; handles = resume(handles); endfunction function Pbutton_im_moyenne_callback(handles) //Write your callback for Pbutton_im_moyenne here f = strtod(handles.edit.string); S = im_moyenne(double(handles.S), f); imshow(S); handles.S = S; handles = resume(handles); endfunction function Pbutton_im_median_callback(handles) //Write your callback for Pbutton_im_median here f = strtod(handles.edit.string); S = im_median(double(handles.S), f); imshow(S); handles.S = S; handles = resume(handles); endfunction function Pbutton_extension_lineaire_callback(handles) //Write your callback for Pbutton_extension_lineaire here S = extension_lineaire(double(handles.S))/255; imshow(S); handles.S = S; handles = resume(handles); endfunction function Pbutton_seuillage_callback(handles) //Write your callback for Pbutton_seuillage here seuil = strtod(handles.edit.string); S = seuillage(double(handles.S), seuil)/255; imshow(S); handles.S = S; handles = resume(handles); endfunction function Pbutton_changement_echelle_callback(handles) //Write your callback for Pbutton_changement_echelle here seuil = strtod(handles.edit.string); S = changement_echelle(double(handles.S), seuil, seuil)/255; imshow(S); handles.S = S; handles = resume(handles); endfunction function Pbutton_histogramme_callback(handles) //Write your callback for Pbutton_histogramme here P = histogramme(double(handles.S)); clf(); if(size(P,3)) == 3 then plot(P(:,:,1),'ro-'); plot(P(:,:,2),'cya+'); plot(P(:,:,3),'--mo'); else plot(P); end endfunction
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/869/CH7/EX7.3/7_3.sce
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7_3.sce
clc //initialisation of variables L= 5 //in B= 12 //in Ix= 227 //in^4 Iy= 10 //in^4 A= 10.2 //sq in //CALCULATIONS Kx= sqrt(Ix/A) Ky= sqrt(Iy/A) //RESULTS printf ('Radius of gyration wrt x= %.2f in',Kx) printf (' \n Radius of gyration wrt y=%.2f in',Ky)
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2021-01-20T13:27:13.221561
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singu.sci
clear close(); //funciones de singularidad function c=singu0(x,a) c=x>=a; endfunction function c=singu1(x,a) c=(x-a).*(x>=a); endfunction function c=singu2(x,a) c=((x-a).^2).*(x>=a); endfunction function c=singu3(x,a) c=((x-a).^3).*(x>=a); endfunction function c=singu4(x,a) c=((x-a).^4).*(x>=a); endfunction //funciones de singularidad function dibujar() subplot(2,2,1) plot2d(x,Vx); a=gca(); // Handle on axes entity a.x_location = "origin"; a.y_location = "origin"; e = gce(); e.children.thickness = 3; xtitle("Fuerza cortante"); xlabel("x (m)") ylabel("V(x) (N)") t=a.title; t.foreground=9; t.font_size=4; t.font_style=6; t=a.y_label; t.font_size=3; //momento flector subplot(2,2,3) plot(x,Mx); a=gca(); // Handle on axes entity a.x_location = "origin"; a.y_location = "origin"; e = gce(); e.children.thickness = 3; p=e.children(1); [m,k]=max(abs(Mx)) //t=datatipCreate(p,k); xtitle("Momento flector"); xlabel("x (m)"); ylabel("M(x) (N*m)") t=a.title; t.foreground=9; t.font_size=4; t.font_style=6; t=a.y_label; t.font_size=3; //angulo deflexion subplot(2,2,2); plot(x,theta); a=gca(); // Handle on axes entity a.x_location = "origin"; a.y_location = "origin"; e = gce(); e.children.thickness = 3; xtitle("Angulo de pendiente"); xlabel("x (m)"); ylabel("Theta(x) (grados)") subplot(2,2,4); t=a.title; t.foreground=9; t.font_size=4; t.font_style=6; t=a.y_label; t.font_size=3; //deflexion plot(x,y*1000); a=gca(); // Handle on axes entity a.x_location = "origin"; a.y_location = "origin"; e = gce(); e.children.thickness = 3; xtitle("Deflexion"); xlabel("x (m)"); ylabel("y(x) (mm)") t=a.title; t.foreground=9; t.font_size=4; t.font_style=6; t=a.y_label; t.font_size=3; endfunction //PARAMETROS DE ENTRADA L=10; //metros F=(91/3)*10^3; //Newtons W=24375; //Newtons por metro M=2.75; //metros S=3.8; //metros //Parametros de sección especificos // tf=19.3*10^(-3); // bf=261*10^(-3); d=420*10^(-3); // tw=11.6*10^(-3); // I=2*((1/12*bf*tf^3)+bf*tf*(d/2-tf/2)^2)+(1/12*tw*(d-2*tf)^3) //Parametros de sección especificos I=462*10^-6; //metros^4 E=200*10^9; //Pascales K1=1*10^6; //Newtons/metro %inf para valor infinito K2=1*10^6; //Newtons/metro %inf para valor infinito sadm=250*10^6; //Pascales thetadm=3; //grados yadm=10*10^(-3); //milimetros //PARAMETROS DE ENTRADA x=0:0.001:L; if K1==0 then C1=1; else C1=K1; end if K2==0 then C2=1; else C2=K2; end A=[1,0,1,1; 0,1,L,S; (S^3)/6,-(S^2)/2,0,((E*I)/C1); (L^3)/6,-(L^2)/2,((E*I)/C2),((L-S)^3)/6]; b=[-F-W*(L-S); F*(-1-M)-W*(L-S)*(((L-S)/2)+S); F*(((S-M)^2/2)-(S-M)^3/6); F*(((L-M)^2/2)-(L-M)^3/6)-W*(L-S)^4/24]; if K1==0 then A(3,:)=0 A(:,4)=0 b(3)=0 end if K2==0 then A(4,:)=0 A(:,3)=0 b(4)=0 end [x0,nsA]=linsolve(A,b); Fa=x0(1,1); Fc=x0(4,1); Fd=x0(3,1); Mr=x0(2,1); Vx=Fa*singu0(x,0)-F*singu0(x,M)+Fc*singu0(x,S)-W*singu1(x,S)+W*singu1(x,L)+Fd*singu0(x,L); Mx=Fa*singu1(x,0)-F*singu1(x,M)+Fc*singu1(x,S)-(W/2)*singu2(x,S)+(W/2)*singu2(x,L)+Fd*singu1(x,L)-Mr*singu0(x,0)+F*singu0(x,M); function theta=angulo(x) theta=(((Fa/2)*singu2(x,0)-(F/2)*singu2(x,M)+(Fc/2)*singu2(x,S)-(W/6)*singu3(x,S)+(W/6)*singu3(x,L)+(Fd/2)*singu2(x,L)-Mr*singu1(x,0)+F*singu1(x,M))/(E*I))*180/%pi; endfunction theta=angulo(x); function y=deflex(x) y=((Fa/6)*singu3(x,0)-(F/6)*singu3(x,M)+(Fc/6)*singu3(x,S)-(W/24)*singu4(x,S)+(W/24)*singu4(x,L)+(Fd/6)*singu3(x,L)-(Mr/2)*singu2(x,0)+(F/2)*singu2(x,M))/(E*I); endfunction y=deflex(x); resp=zeros(2,3); resp(1,1)=angulo(M); resp(1,2)=angulo(S); resp(1,3)=angulo(L); resp(2,1)=deflex(M); resp(2,2)=deflex(S); resp(2,3)=deflex(L); mprintf('\n Para las variables de entrada el analisis resultante es el siguiente:') mprintf('\n') mprintf('\n Las reacciones en los apoyos son: \n Fa=%1.3f kN \n Fc=%1.3f kN \n Fd=%1.3f kN \n Mr=%1.3f kN*m',Fa/1000,Fc/1000,Fd/1000,Mr/1000) sigmax=(max(abs(Mx))*d/2)/I; Fs=sadm/sigmax; if sigmax>sadm then mprintf('\n') mprintf('\n -_-_-_-_-_-¡ALERTA!-_-_-_-_-_-') mprintf('\n Se ha sobrepasado el esfuerzo normal admisible en la viga') mprintf('\n Esfuerzo admisible [Õ]=%1.3f MPa',sadm/1000000) mprintf('\n Esfuerzo maximo en la viga Õ=%1.3f MPa',sigmax/1000000) end [thetamax,k]=max(abs(theta)); if thetamax>thetadm then mprintf('\n') mprintf('\n -_-_-_-_-_-¡ALERTA!-_-_-_-_-_-') mprintf('\n Se ha sobrepasado el angulo de deflexión admisible en la viga') mprintf('\n Angulo admisible [Theta]=%f Grados',thetadm) mprintf('\n Angulo maximo de la viga Theta=%f grados que se da en x=%1.2f metros',thetamax,(k-1)*0.001) end [ymax,k]=max(abs(y)); if ymax>yadm then mprintf('\n') mprintf('\n -_-_-_-_-_-¡ALERTA!-_-_-_-_-_-') mprintf('\n Se ha sobrepasado la deflexión admisible en la viga') mprintf('\n Deflexión admisible [y]=%1.3f mm',yadm*1000) mprintf('\n La deflexion maxima de la viga es y=%f mm y se da en x=%1.2f metros',ymax*1000,(k-1)*0.001) end mprintf('\n') mprintf('\n Angulo de pendiente en el punto B=%1.2f metros es Theta=%f grados',M,(resp(1,1))) mprintf('\n Angulo de pendiente en el punto C=%1.2f metros es Theta=%f grados',S,resp(1,2)) mprintf('\n Angulo de pendiente en el punto D=%1.2f metros es Theta=%f grados',L,resp(1,3)) mprintf('\n') mprintf('\n Deflexión en el punto B=%1.2f metros es y=%1.3f mm',M,(resp(2,1)*1000)) mprintf('\n Deflexión en el punto C=%1.2f metros es y=%1.3f mm',S,(resp(2,2)*1000)) mprintf('\n Deflexión en el punto D=%1.2f metros es y=%1.3f mm',L,(resp(2,3)*1000)) [Mmax,k]=max(abs(Mx)); mprintf('\n') mprintf('\n Con un momento máximo de M=%1.3f kN*m, presente en x=%1.3f m, \n y con la caracteristicas de la seccion de la viga se presenta un esfuerzo \n normal maximo de Õ=%1.3f MPa en ese punto',Mmax/1000,(k-1)*0.001,sigmax/1000000 ) mprintf('\n De esta manera la viga presenta un factor de seguridad Fs=%1.3f',Fs) dibujar;
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//a Vt = 230; //(in volts) Ia = 73; //armature current (in amps) If = 1.6; //feild current (in amps) Ra = 0.188; //armature circuit resistance(in ohms) n = 1150; //rated speed of the rotor(in rpm) Po = 20*746; //output power (in watts) Ea = Vt - (Ia*Ra); //armature voltage wm = 2*%pi*n/60; //rated speed of the rotor (in rad/sec) T = Ea*Ia/wm ; //electromagnetic torque disp("a") disp(T,"electromagnetic torque = ") //b a = 4; //no. of parallel armature paths p = 4; //no. of poles z = 882; //no. of armature conductors flux = Ea*60*a/(p*z*n); //flux per pole (in Wb) disp("b") disp(flux,"flux per pole = ") //c Prot = (Ea*Ia) - Po; //rotational loss (in watt) disp("c") disp(Prot,"rotational losses = ") //d losses = Prot + (Ia^2 * Ra) + (Vt * If) ; Pi = (Ea*Ia) + (Ia^2 * Ra) + (Vt * If); //input power efficiency = 1 - (losses/Pi); disp("d") disp(efficiency,"efficiency = ")
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clc clear D=0.1; //Diameter L=0.12; //Length V=(22/7)*(1/4)*D*D*L; T1=19+273; r=6.5; //Compression ratio P1=1; //in bar G=1.4; //Gamma Vs=9.425*(10^-4); Vc=Vs/(r-1); V1=Vc+Vs; printf('V1= %3.5f m^3',V1); printf('\n'); V2=Vc; V3=Vc; P2=P1*(r^G); printf('P2= %3.1f bar',P2); printf('\n'); T2=T1*(r^(G-1)); printf('T2= %3.1f K',T2); printf('\n'); //For process 2-3 Qs=1900; Cv=0.718; T3=(Qs/Cv)+T2; printf('T3= %3.1f K',T3); printf('\n'); P3=P2*(T3/T2); printf('P3= %3.1f bar',P3); printf('\n'); //For process 4-1 V4=V1; P4=P3*((V3/V4)^G); printf('P4= %3.1f bar',P4); printf('\n'); T4=T1*(P4/P1); printf('T4= %3.1f K',T4); printf('\n'); Eff=100*(1-(1/(r^(G-1)))); printf('Efficiency= %3.1f Percent',Eff); printf('\n'); R=0.287; m=(P1*100*V1)/(R*T1); Pm=(Eff*Qs*m)/(10000*Vs); printf('Mean Effective Pressure= %3.1f bar',Pm); printf('\n');
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clear clc //to find tangential speed of point on the equator of pulsar // GIVEN: //rotational period of pulsar T = 0.033//in seconds //radius of pulsar r = 15//in km // SOLUTION: //using kinematic equation of motion for rotational motion //angular speed w = (2*3.14)/T//in rad/s //tangential speed of point on the equator of pulsar vT = w*r//in km/s printf ("\n\n Angular speed w = \n\n %3i rad/s",w); //answer of vT is slightly varying.But answer of scilab program and calculator is same printf ("\n\n Tangential speed of point on the equator of pulsar vT = \n\n %4i km/s",vT);
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dHfH2O=-68.32;//dHf value of H2O in kcal per mol// dHfCO2=-94.05;//dHf value of CO2 in kcal per mol// dH298=-208.34;//enthalphy change at 298K in Kcal// dHfCH3COOH=(2*dHfH2O+2*dHfCO2-dH298);//dHf value of CH3COOH in Kcal per mol// printf('Standard enthalpy of formation of CH3COOH=%fKcal per mol',dHfCH3COOH);
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//scilab 5.4.1 clear; clc; printf("\t\t\tProblem Number 11.9\n\n\n"); // Chapter 11 : Heat Transfer // Problem 11.9 (page no. 565) // Solution //A bare steel pipe ro=3.50; //Outside diameter //Unit:in. ri=3.00; //inside diameter //Unit:in. Ti=240; //Inside temperature //unit:fahrenheit To=120; //Outside temperature //unit:fahrenheit L=5; //Length //Unit:ft deltaT=Ti-To; //Change in temperature //unit:fahrenheit k=26 //Unit:Btu/(hr*ft*F) //k=proportionality constant //k=thermal conductivity Q=(2*%pi*k*L*deltaT)/log(ro/ri); //The heat loss from the pipe //unit:Btu/hr printf("The heat loss from the pipe is %f Btu/hr",Q);
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//Inilization of variables W=2000 //N Lab=2 //m //length of the member from the vertical to the 1st load of 2000 N Lac=5 //m //length of the member from the vertical to the 2nd load of 2000 N Lpq=3.5 //m //Calculations Rq=((W*Lab)+(W*Lac))/Lpq //N //take moment abt. pt P Xp=Rq //N //sum Fx=0 Yp=2*W //N //sum Fy=0 Rp=sqrt(Xp^2+Yp^2) //N //Resuts clc printf('The reaction at P is %f N \n',Rp) printf('The reaction at Q is %f N \n',Rq)
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//Exa 11 clc; clear; close; //given data : //initial cash outflows ICO=10000;//in Rs. //cash in flows of 1st,2nd and 3rd years CIF1=5000;//in Rs. CIF2=4000;//in Rs. CIF3=3000;//in Rs. //average annual CIF CIF=(CIF1+CIF2+CIF3)/3;//in Rs //step 1 : calculate first trial rate PV=ICO/CIF;//unitless disp(PV,"Trial PV factor is : ") disp("The rate of return at this PV is approximately 10%") //P.V factor at 10% rate of discount PV1=0.909; PV2=0.826; PV3=0.751; //Present value for all cash in flows P1=CIF1*PV1;// in Rs P2=CIF2*PV2;// in Rs P3=CIF3*PV3;// in Rs //Total Present Value P=P1+P2+P3;// in Rs disp(P,"total present value of cash inflows at 10% rate is : ") disp("As the total present value of cash inflows at 10% rate is 10102 RS. is more than the cost of investment.") disp("The next trial rate can be taken as 12%.") //P.V factor at 12% rate of discount PV1=0.893; PV2=0.797; PV3=0.712; //Present value for all cash in flows P1=CIF1*PV1;// in Rs P2=CIF2*PV2;// in Rs P3=CIF3*PV3;// in Rs //Total Present Value P=P1+P2+P3;// in Rs disp(P,"total present value of cash inflows at 12% rate is : ") disp("As the total present value of cash inflows at 12% rate is 9789 RS. is less than the cost of investment.") //IRR will be calculated by interpolation of these two rates LDR=10;//in % ;Lower discount rate HDR=12;//in % ;Higher discount rate P1=10102;//in Rs; Present value at lower rate of interest P2=9789;//in Rs; Present value at higher rate of interest IRR=LDR+((P1-ICO)/(P1-P2))*(HDR-LDR);//in % : Internal rate of return disp(IRR,"Internal rate of return of the project(in %) : ")
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// Updated(19-7-07) // 12.3 // Camacho and Bordon's GPC example; Control law A=[1 -0.8]; dA=1; B=[0.4 0.6]; dB=1; N=3; k=1; rho=0.8; getf gpc_bas.sci; [K,KH1,KH2,Tc,dTc,Sc,dSc,R1,dR1] = ... gpc_bas(A,dA,B,dB,N,k,rho) // C=1; dC=0; [K,KH1,KH2,Tc,dTc,Sc,dSc,R1,dR1] = ... // gpc_col(A,dA,B,dB,C,dC,N,k,rho)
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pathname=get_absolute_file_path('17_21.sce') filename=pathname+filesep()+'17_21_data.sci' exec(filename) //Net indicated mean effective pressure(in bar) imepn=wlep-plep //Dead cycles per minute Dc=(N/2)-Wc //Frictional power(in kW) fp=((imepn*10^5*0.25*%pi*D^2*L*Wc)-(pfm*10^5*0.25*%pi*D^2*L*Dc))/60000 //Indicated power(in kW) ip=(imepn*10^5*0.25*%pi*D^2*L*0.5*N)/60000 //Brake power(in kW) bp=ip-fp //Mechanical efficiency nm=bp/ip*100 printf("\n\nRESULTS\n\n") printf("\nBrake power:%f\n",bp) printf("\nMechanical efficiency:%f\n",nm)
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//Example 1.2 //Sketch the continuous time signal x=sin(7*t)+sin(10*t) and also its discrete time equivalent signal with a sampling period T = 0.2sec clear; clc ; close ; t=0:0.01:2; x1=sin(7*t)+sin(10*t); subplot(1,2,1); plot(t,x1); xlabel('t'); ylabel('x(t)'); title('CONTINUOUS TIME PLOT'); n=0:0.2:2; x2=sin(7*n)+sin(10*n); subplot(1,2,2); plot2d3(n,x2); xlabel('n'); ylabel('x(n)'); title('DISCRETE TIME PLOT');
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clc;funcprot(0);//EXAMPLE 4.8 // Initialisation of Variables U=[0 0 1];.......//Tensile stree direction in [001] plane V1=[0 -1 1];......//Tensile stree direction of slip direction in [0-11] plane V2=[1 1 1];......//Tensile stree direction of slip plane normal to[011] plane rho1=3000;.......//Tensile stress of crystal in psi lam=acos((U*V1')/(norm(U)*norm(V1)));.......//The angle between the tensile stress direction [001] and the slip direction [0-11] from the dot product phy=acos((U*V2')/(norm(U)*norm(V2)));......//The angle between the tensile stress direction [001] and normal to the slip plane [111] rho=rho1*(cos(lam)*cos(phy));....//The resolved Shear stess in psi disp(lam*(180/%pi),"The angle between the tensile stress direction [001] and the slip direction [0-11]:") disp(phy*(180/%pi),"The angle between the tensile stress direction [001] and normal to the slip plane [111]:") disp(rho,"The resolved Shear stess in psi:")
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//Determine the following parameters. t = 120; d = 24; BH = 5; BW = 5000; RFw = 200; S = 60000; A = 500; E = t/(d*BH*60); Nrf = BW/RFw; Srf = Nrf/(4*3); TCH = Srf*8; Tbts = 9.82*3; //Using Erlang B table Sbts = (Tbts*1000)/TCH; BTSn = S/Sbts; R = sqrt(A/(BTSn*Srf)); disp(E, 'Erlangs per subscriber') disp(TCH, 'Traffic Channels per sector') disp(BTSn, 'No. of BTS in a zone') disp(R, 'Avg. Hexagonal cell radius (in Km)')
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clear // // // //Variable declaration e=1.6*10**-19 //charge(c) ni=1.5*10**16 //particle density(per m**3) mew_e=0.14 //electron mobility(m**2/Vs) mew_h=0.05 //hole mobility(m**2/Vs) D=2.33*10**3 //density(kg/m**3) A=28.09 //atomic weight(kg) NA=6.025*10**26 //avagadro number //Calculation N=NA*D/A //number of atoms n=N/10**8 //electron concentration(per m**3) p=ni**2/n //hole concentration(per m**3) sigma=e*((n*mew_e)+(p*mew_h)) //conductivity(per ohm m) //Result printf("\n conductivity is %0.1f per ohm m",sigma)
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// Theory and Problems of Thermodynamics // Chapter 6 // Thermodynamic Potentials and Availability // Example 15 clear ;clc; //Given data P1 = 3 // pressure of superheated steam in MPa T1 = 573.15 // temperature of superheated steam in K P2 = 0.2 // pressure of dry saturated steam in MPa P0 = 0.1 // ambient pressure in MPa T0 = 300 // ambient temperature in K // Data from Steam Tables h1 = 2993.5 // in kJ/kg v1 = 0.08114 // in m^3/kg s1 = 6.539 // in kJ/kg K h2 = 2706.7 // in kJ/kg v2 = 0.8857 // in m^3/kg s2 = 7.1271 // in kJ/kg K P1 = P1*1e3 // Units conversion from MPa to kPa P2 = P2*1e3 // Units conversion from MPa to kPa P0 = P0*1e3 // Units conversion from MPa to kPa // Calculations for maximum useful work // phi_12 = phi_1 - phi_2 // phi_12 = (u1+P0*v1-T0*s1)-(u2+P0*v2-T0*s2) // phi_12 = (h1-P1*v1+P0*v1-T0*s1)-(h2-P2*v2+P0*v2-T0*s2) phi_12 = (h1-h2) - v1*(P1-P0) + v2*(P2-P0) - T0*(s1-s2) // Output Results mprintf('Maximum useful work = %4.2f kJ' ,phi_12);
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errcatch(-1,"stop");mode(2); //Initialization of variables Hf=-124 //kJ Hoxi=-2220 //kJ Hwater=286 //kJ //Calculations H=Hf+Hoxi+Hwater //results printf('Standard enthalpy of combustion of propene = %d kJ/mol',H) exit();
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clc; delta_p=0.0002;//bar d=25; rho=7600;//assumed to run program c=1.13; C=24; tou=delta_p*10^5*d/(4*10^3); f=tou/(rho*C^2/2); alpha=0.125*rho*c*C/(rho*C^2); disp("heat transfer coefficient is:");; disp("kW/m^2 K",alpha);
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function [x,y,typ] = onetime_switch(job,arg1,arg2) x=[];y=[];typ=[]; select job case 'plot' then exprs=arg1.graphics.exprs; cmpr=exprs(1) delay=exprs(3) standard_draw(arg1) case 'getinputs' then [x,y,typ]=standard_inputs(arg1) case 'getoutputs' then [x,y,typ]=standard_outputs(arg1) case 'getorigin' then [x,y]=standard_origin(arg1) case 'set' then x=arg1 model=arg1.model;graphics=arg1.graphics; exprs=graphics.exprs; while %t do [ok,cmpr,lim,delay,exprs]=.. getvalue('Edit block parameters',.. ['0 (greater) or 1 (less)'; 'Switch value'; 'Delay time:'],.. list('vec',-1,'vec',-1,'vec',-1),exprs) if ~ok then break,end in=[1;1;1] out=1 flg=0; [model,graphics,ok]=check_io(model,graphics,in,out,1,[]) if ok then graphics.exprs=exprs; model.rpar=[lim;delay]; model.ipar=[cmpr;flg]; model.dstate=[]; x.graphics=graphics;x.model=model break end end case 'define' then cmpr=0 lim=0.5 delay=1 flg=0; model=scicos_model() model.sim=list('rt_switch',4) model.in=[1;1;1] model.out=1 model.evtin=1 model.rpar=[lim;delay] model.ipar=[cmpr;flg] model.dstate=[]; model.blocktype='d' model.dep_ut=[%t %f] exprs=[sci2exp(cmpr),sci2exp(lim),sci2exp(delay)] gr_i=['xstringb(orig(1),orig(2),[''Switch'' ; string(cmpr) ; string(delay)],sz(1),sz(2),''fill'');'] x=standard_define([3 2],model,exprs,gr_i) end endfunction
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// Exa 3.16 clear; clc; close; //Part (a) is a derivation not a numerical problem //Part (b) is a plot, and can be plotteed with any assumed value of R R=5;//in ohm(assumed) V=0:12;//in volt I=-V/R//in Ampere disp("V-I characteristics is shown in figure.") plot(V,I); title("V-I characteristics"); xlabel("V(volt)"); ylabel("I(Ampere)");
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// // SPACE FLIGHT MECHANICS // Assignment 1 //==================================================================// // Created : 4-02-2017 // // Ref: Notes // Author: Partha Surve (SC14B036, Aerospace Engineering 3rd Year, IIST) // parthasurve1@gmail.com // clc clear clf //-------------------------------------------------// // Constants // H_p = 500 //Perigee Altitude H_a = 25000 //Apogee Altitude R_e = 6378 //Radius of earth R_p = H_p + R_e // Perigee radius R_a = H_a + R_e //Apogee Radius a = (R_p + R_a)/2 //Semi-Major Axis G_earth = 398600 //gravitational constant of Earth (mu) e=(R_a-R_p)/(R_a+R_p)//eccentricity of the orbit pi = 3.14 p=2*pi*(a^1.5)/(G_earth^0.5);//time period n=(G_earth/(a^3))^0.5; tolerance = 1.e-2 //--------------------------------------------------// //Mean Anomaly Vs Time t= 1:1:p M=n.*t //Evaluating Eccentric anomaly based on Mean Anomaly using Newton Rhapson Residue = 1 for t = 1:1:p E(t)=M(t) while abs(Residue) > tolerance E(t) = E(t)- (E(t) - e.*sin(E(t)) - M(t))/(1 - e.*cos(E(t))) Residue = E(t)-e.*sin(E(t))-M(t) end Residue=1 //Evaluating True Anomaly from Eccentric Anomaly v(t)=atan(((1-e*e)^.5)*sin(E(t))/(1-e*cos(E(t))),(cos(E(t))-e)/(1-e*cos(E(t)))); if(v(t)<=0) v(t)=v(t)+2*pi; end end //plotting the anomalies vs time t= 1:1:p figure(1) plot(t,M,'b') plot(t,E,'r') plot(t,v,'g') xlabel('Time ', "fontsize", 5) ylabel('Anomaly(Degs)', "fontsize", 5) title('True anomaly, Eccentric anomaly, Mean anomaly over one revolution', "fontsize", 3) hl=legend(['Mean Anomaly';'Eccentric Anomaly';'True Anomaly'],2); //--------------------------------------------------// //plotting radial distance r=zeros(360,1) //radial distance for V = 1:1:360 // V is true anomaly r(V)=(a*(1-e^2)./(1+e.*cos(V*pi/180))); //Evaluating Radial Distance end V= 0:0.01:2*%pi; figure(2) polarplot(V,(a*(1-e^2)./(1+e.*cos(V)))); // Orbit of the Space craft title('Polar plot of the Orbit ', "fontsize", 5) //PLotting the Variation of radial distance with the true anomaly V = 1:1:360 figure(3) plot(V,r,'r') xlabel('True Anomaly(degree)', "fontsize", 5) ylabel('Radial Distance(km)', "fontsize", 5) title('Radial distance evolution over one revolution', "fontsize", 5) //--------------------------------------------------------------// // tangential Velocity V_t = zeros(360,1) for V = 1:1:360 // V is true anomaly V_t(V) = sqrt(G_earth*(2*(1+e.*cos(V*pi/180))./(a*(1-e*e)) - 1/a)) end V = 1:1:360 figure(4) plot(V,V_t,'r') xlabel('True Anomaly(degree)', "fontsize", 5) ylabel('Tangential Velocity(km/s)', "fontsize", 5) title('Tangential Velocity evolution over one revolution', "fontsize", 5) //--------------------------------------------------------------// //Flight Angle E = zeros(360,1) flight_angle = zeros(360,1) for V = 1:1:360 A = sin(V*pi/180).*sqrt(1 - e^2)./(1 + e * cos(V*pi/180)); B = (e + cos(V*pi/180))./(1 + e .* cos(V*pi/180)); E(V) = atan(A/B); flight_angle(V) = atan((e.*sin(V*pi/180))/(1+e.*cos(V*pi/180))) end V = 1:1:360 figure(5) plot(V,flight_angle,'r') xlabel('True Anomaly(degree)', "fontsize", 5) ylabel('Flight angle', "fontsize", 5) title('', "fontsize", 5) //==========================================================//
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//Example 2.10 //Program to estimate the fiber core diameter for a single mode //step index fiber clear; clc ; close ; //Given data V=2.2; //NORMALIZED FREQUENCY MFD=11.6*10^(-6); //metre - MODE FIELD DIAMETER W0=5.8*10^(-6); // The fiber core radius a=W0/(0.65+1.619*V^(-1.5)+2.879*V^(-6)); //Displaying the Result in Command Window printf("\n\n\t The fiber core diameter for a single mode step index fiber is %0.1f um.",2*a*10^6);
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//chapter 10 //example 10.6 //page 393 printf("\n") printf("given") Vdd=25;R2=1*10^6;R1=3.8*10^6;Rs=2.5*10^3;Rd=2.5*10^3; Vg=(Vdd*R2)/(R1+R2) disp("when Id=0") Id=0; Vgs=Vg-Id*Rs disp(" plot point A at Id=0 and Vgs=5.2") Vgs=0; Id=Vg/Rs disp(" plot point B at Id=2.08mA and Vgs=0") disp(" where the base line intersect the transfer characteristics ") Idmax=3*10^-3;Idmin=2.3*10^-3; Vdsmin=Vdd-Idmax*(Rd+Rs) Vdsmax=Vdd-Idmin*(Rd+Rs)
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clc p1=10; //bar t1=200; //0C C1=60; //m/s^2 c2=650; //m/s p2=1.5; //bar h1=2827.9; //kJ/kg h_f2=467.1; //kJ/kg h2=2618.45; //kJ/kg h_g2=2693.4; //kJ/kg x2=(h2-h_f2)/(h_g2-h_f2); disp("quality of steam leaving the nozzle=") disp(x2)
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//EXAMPLE 2-82 PG NO-117 Z1=4+%i*314.16; //Impedance I1=1/Z1; //CURRENT disp('i) Current (I1) is = '+string (I1) +' A '); I2=I1+%i*90; //CURRENT disp('ii) Current (I2) is = '+string (I2) +' A '); Z2=1/I2; //IMPEDANCE disp('i) Impedance (Z2) is = '+string (Z2) +' ohm '); R=310.16; //RESISTANCE Xc=310.16; F=50; C=1/(2*%pi*F*Xc); disp('i) Capacitor (C) is = '+string (C) +' F ');
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//Exa 7.2 clc; clear; close; // Given data V1 = 20;// in V V2 = 2;// in V V = V1-V2;// in V R = 1;// in kohm R = R * 10^3;// in ohm I_D = V/R;// in A I_D = I_D * 10^3;// in mA disp(I_D,"The drain current in mA is");
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//ques-15.2 //Calculating equilibrium constant for a dissociation reaction clc x=22;//percentage of dissociation a=2;//moles of HI c1=(x/100)/2;//content of H2 c2=(x/100)/2;//content of I2 c3=(2-(2*x/100))/2;//content of HI Kc=(c1*c2)/c3^2//equilibrium constant printf("Equilibrium constant required is %.4f.",Kc);
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4_03.sce
//Example No. 4_03 //Pg No. 64 clear ; close ; clc ; a = 0.1 b = 0.4 for i = 1:8 afrac(i) = floor(a*2) a = a*2 - floor(a*2) bfrac(i) = floor(b*2) b = b*2 - floor(b*2) end afrac_s = '0' + '.' + strcat(string(afrac)) //string form binary equivalent of a i.e 0.1 bfrac_s = '0' + '.' + strcat(string(bfrac)) mprintf('\n 0.1_10 = %s \n 0.4_10 = %s \n ', afrac_s , bfrac_s) for j = 8:-1:1 summ(j) = afrac(j) + bfrac(j) if summ(j) > 1 then summ(j) = summ(j)-2 afrac(j-1) = afrac(j-1) + 1 end end summ_dec = 0 for k = 8:-1:1 summ_dec = summ_dec + summ(k) summ_dec = summ_dec*1/2 end disp(summ_dec,'sum =') disp('Note : The answer should be 0.5, but it is not so.This is due to the error in conversion from decimal to binary form.')
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function iloc() // Purely integer-location based indexing for selection by position. // // Syntax // dfr.iloc(input_string) // // Parameters // input_string : String containing the input integers/slices/lists of integers // Returns : DataFrame // // Description // .iloc[] is primarily integer position based (from 0 to length-1 of the axis), but may also be used with a boolean array. // // Examples // // Getting the data of the first passenger // dfr.iloc("0,:") // // Authors // Aditya Dhinavahi // Sundeep Akella endfunction
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clear //Given R1=5 //ohm R2=9 //ohm R3=14 //ohm R4=11 R5=7 R6=18 R7=13 R8=22 V=22 //Calculation Rec=(R1+R2)*R3/(R1+R2+R3) Rbe=(R4+R5)*R6/(R4+R5+R6) Rae=(R7+R2)*R8/(R7+R2+R8) I=V/Rae //Result printf("\n The value of current in the branch AF is %0.3f A", I)
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PL/SQL Developer Test script 3.0 15 -- Created on 13/11/2014 by LUIS G declare -- Local variables here i integer; begin insertions.set_organizacion(nombre_org => 'ASODEC', tel => '25501478', email => 'asodec@itcr.com', pais1 => 'Costa Rica', provincia1 => 'Cartago', canton1 => 'Cartago', distrito1 => 'Central', direc_exact => 'contiguo al tec'); end; 0 0
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//A Textbook of Chemical Engineering Thermodynamics //Chapter 4 //Second Law of Thermodynamics //Example 10 clear; clc; //Given: n1 = 0.21; //volume % of oxygen in air n2 = 0.79; //volume % of nitrogen in air R = 8.314; //ideal gas constant //To calculate entropy of 1 kmol of air //Using equation 4.35 (Page no. 96) S = (-R*(n1*log(n1)+n2*log(n2))); //[kJ/kmol K] mprintf('The total entropy change is %f kJ/kmol K',S); //end
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@relation abalone @attribute Sex{M,F,I} @attribute Length real[0.075,0.815] @attribute Diameter real[0.055,0.65] @attribute Height real[0.0,1.13] @attribute Whole_weight real[0.002,2.8255] @attribute Shucked_weight real[0.001,1.488] @attribute Viscera_weight real[5.0E-4,0.76] @attribute Shell_weight real[0.0015,1.005] @attribute Rings{15,7,9,10,8,20,16,19,14,11,12,18,13,5,4,6,21,17,22,1,3,26,23,29,2,27,25,24} @inputs Sex,Length,Diameter,Height,Whole_weight,Shucked_weight,Viscera_weight,Shell_weight @outputs Rings @data 12 9 10 9 15 9 5 4 4 5 8 8 20 9 11 9 16 9 12 9 8 8 12 8 11 8 9 9 18 9 7 6 9 6 16 9 13 9 13 9 12 9 8 8 13 9 7 6 11 8 15 9 11 8 9 8 10 8 16 9 8 6 19 9 19 9 10 8 10 8 10 8 12 8 14 9 11 8 11 6 13 9 17 9 11 8 5 5 10 6 14 8 8 6 14 6 11 9 15 8 21 9 9 8 16 9 11 8 11 8 11 8 5 5 12 6 4 4 13 9 13 8 17 9 17 9 15 8 9 8 10 8 12 8 7 6 10 9 9 9 8 9 15 9 12 9 11 9 4 6 8 6 7 6 5 6 7 6 7 6 6 6 7 8 6 6 6 8 8 8 10 9 9 9 7 9 8 9 10 9 12 9 11 9 6 5 6 6 6 6 7 6 6 8 8 8 8 8 7 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 7 6 8 6 8 6 11 6 8 8 8 8 7 8 9 8 7 8 13 8 10 8 9 8 9 8 11 8 10 9 10 9 11 8 9 9 10 9 11 9 12 9 10 9 15 9 10 9 10 9 11 9 14 9 6 6 6 6 8 6 6 6 9 6 8 8 6 8 8 8 9 8 9 9 8 9 10 9 10 9 11 9 6 6 5 6 8 6 8 6 8 8 9 8 10 9 12 8 10 8 9 8 8 8 9 9 11 9 10 9 12 9 9 9 12 9 12 9 10 9 10 9 10 9 9 8 11 9 9 9 4 4 7 6 11 6 8 6 8 8 10 8 10 8 7 8 9 8 9 8 9 9 10 9 10 8 9 9 11 9 11 9 13 9 11 9 7 5 7 6 7 6 8 8 9 8 9 8 9 8 8 6 8 8 11 8 8 9 10 9 14 9 7 6 8 8 10 8 9 8 16 9 9 8 12 9 9 9 6 4 5 5 11 6 7 8 18 9 13 9 8 8 13 9 13 9 15 9 10 8 10 8 10 9 8 8 10 6 17 9 23 9 12 8 18 9 11 9 3 4 12 6 10 6 5 4 9 8 10 6 9 6 9 8 11 8 7 6 5 5 8 6 12 9 8 8 7 6 7 8 6 8 9 8 8 8 8 8 9 8 9 9 10 9 11 9 4 4 6 6 8 6 8 8 9 8 9 8 10 8 10 9 11 9 10 9 10 9 12 9 9 9 9 9 7 6 9 9 9 9 6 6 7 6 9 8 8 8 8 8 11 9 11 9 12 9 11 9 11 9 9 8 11 9 14 9 6 6 8 8 9 8 7 8 9 8 9 9 11 9 10 9 10 9 14 9 11 9 11 9 7 6 7 6 9 9 13 9 24 9 10 9 15 8 12 9 5 6 9 8 6 6 15 9 16 9 8 8 13 9 14 9 5 6 11 8 18 9 15 8 14 9 12 9 9 6 17 8 16 8 13 8 8 8 19 9 9 6 10 8 5 5 6 6 10 9 13 9 6 6 7 6 13 9 7 8 8 8 9 9 11 9 10 9 10 9 6 6 8 9 8 8 12 9 11 9 3 4 6 6 7 6 7 6 9 8 9 9 10 9 8 9 12 9 10 9 7 5 8 8 9 8 9 8 7 8 10 8 10 9 14 9 10 9 11 9 10 9 11 9 7 8 9 8 9 9 13 9 8 8 10 8 9 9 10 9 9 8 10 9 14 9 6 6 8 8 4 4 7 6 12 9 11 8 5 6 13 9 14 9 17 9 10 9 15 6 12 6 20 8 14 8 13 9 13 8 9 8 12 8 6 6 7 8 6 6 9 8 11 8 10 9 11 9 10 8 11 9 9 9 9 9 8 8 10 9 8 8 9 9 10 8 8 8 10 8 6 6 7 6 7 6
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