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# Nanotrav Version #0.12, Release date 2003/12/31 # nanotrav/nanotrav -p 1 -ordering dfs -reordering cogroup -drop -char2vect -cofest ./nanotrav/adj49.blif # CUDD Version 3.0.0
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//////////////////////////////////////////////////////////////////////// // SC422401 การเขียนโปรแกรมคอมพิวเตอร์สำหรับคณิตศาสตร์ // ภาคการศึกษาปลาย ปีการศึกษา 2562 // เฉลยใบกิจกรรมที่ 5 // โดย ผศ. ดร.ทศพร ทองจันทึก // แก้ไขล่าสุด : 23 มกราคม 2563 //////////////////////////////////////////////////////////////////////// clear function [sn] = MyTerm_r(n) // หาค่าของจำนวนจริง s_n เมื่อ n เป็นจำนวนเต็มบวก โดยใช้ฟังก์ชันเวียนเกิด // Input: // n : จำนวนเต็มบวก // Output: // sn : จำนวนจริง if n < 1 then // แจ้งข้อผิดพลาด ถ้า n > 1 error("n ต้องเป็นจำนวนเต็มบวกเท่านั้น") elseif n == 1 then sn = 2 elseif n == 2 then sn = -1 else s1 = MyTerm_r(n-1) // s_{n-1} s2 = MyTerm_r(n-2) // s_{n-2} sn = (3*s1-1)/(s2^2+1) end endfunction function [sn] = MyTerm_i(n) // หาค่าของจำนวนจริง s_n เมื่อ n เป็นจำนวนเต็มบวก โดยใช้ฟังก์ชันทำซ้ำ // Input: // n : จำนวนเต็มบวก // Output: // sn : จำนวนจริง if n < 1 then // แจ้งข้อผิดพลาด ถ้า n > 1 error("n ต้องเป็นจำนวนเต็มบวกเท่านั้น") elseif n == 1 then sn = 2 elseif n == 2 then sn = -1 end s1 = -1 // กำหนดค่าของ s_{n-1} s2 = 2 // กำหนดค่าของ s_{n-2} i = 3 // กำหนดค่าตัวนับ while i <= n sn = (3*s1-1)/(s2^2+1) // ปรับปรุงค่า s_{n-1}, s_{n-2} และตัวนับ s2 = s1 s1 = sn i = i + 1 end endfunction // แสดงค่าของ s_10 และเวลาที่ใช้ในการคำนวณ // เมื่อเรียกใช้ฟังก์ชัน MyTerm_r tic // เริ่มจับเวลา sn_r = MyTerm_r(30) // ค่าของ s_10 ที่ได้จากฟังก์ชัน MyTerm_r t_r = toc() // เวลาที่ฟังก์ชัน MyTerm_r ใช้ในการคำนวณ s_10 (หน่วยเป็นวินาที) printf("ค่าของ s10 จากฟังก์ชัน MyTerm_r = %.6f\n", sn_r) printf("เวลาที่ฟังก์ชัน MyTerm_r ใช้ = %.6f วินาที\n", t_r) // แสดงค่าของ s_10 และเวลาที่ใช้ในการคำนวณ // เมื่อเรียกใช้ฟังก์ชัน MyTerm_i tic // เริ่มจับเวลา sn_i = MyTerm_i(30) // ค่าของ s_10 ที่ได้จากฟังก์ชัน MyTerm_i t_i = toc() // เวลาที่ฟังก์ชัน MyTerm_i ใช้ในการคำนวณ s_10 (หน่วยเป็นวินาที) printf("ค่าของ s10 จากฟังก์ชัน MyTerm_i = %.6f\n", sn_i) printf("เวลาที่ฟังก์ชัน MyTerm_i ใช้ = %.6f วินาที\n", t_i)
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//Page Number: 8.23 //Example 8.23 clc; //Given, // S=10D-8*(1-(|f|/10D+8)); //(a)Power contenet of output noise //Bandwidth of 2MHz centered at 50MHz //Therefore, first limits will be x0=-51D+6; x1=-49D+6; P1=integrate('1+(f/10^8)','f',x0,x1); //And,second limits will be x2=49D+6; x3=51D+6; P2=integrate('1-(f/10^8)','f',x2,x3); P=10D-8*(P1+P2); disp('W',P,'Power content:');
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clc //Example 6.12 //Calculate pressure drop due to valves and fittings K=27.56//deimentionless rho=62.3//lbm/ft^3 v=13//ft/s //1 ft = 12 in //1 lbf.s^2 = 32.2 lbm.ft dp=rho*K*(v^2/2)/32.2/144//psi printf("THe pressure drop due to valves and fittings is %d psi",dp);
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//False Position method by Rêmullo Costa function y = f(x); p = 3.5; y = (x ./ (1-x)) .* sqrt(2 * p./(2 + x)) - 0.04; //função a ser utilizada (fuction to be used - can be any function) endfunction x = [0:0.01:0.1]; //valores de x para checar a função no gráfico (velues of 'x' to check the function on the graphic) //plot da função plot(x,f(x), '-o'); xgrid; x_velho = 0.01; //chute inicial (guess) x = 0.1; erro = 1; //erro inicial para rodar a função (initial error to run the function) it = 1; //iteracão inicial precisao = -2 //(accuracy) while(erro >= 10^precisao)&it<200 do //if the error is bigger than the accuracy and the iteration is smaller than 200 x_velho2 = x_velho; //save the first initial guess x_velho = x; //change the initial guess for x secante = (f(x_velho)-f(x_velho2))/(x_velho-x_velho2) x = x_velho - (f(x_velho)/secante); //calcular o proximo x erro = abs((x-x_velho)/ x); disp([it x erro]); it = it+1; end
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chain 2, fact 1 [[-2,-2,1,0],[1,0,2,2],[2,2,0,1],[0,1,-2,-2]] [9,10,-1,-12] => [-39,-17,26,36] => [138,85,-76,-141] ?? [-522,-296,305,519] chain 2, fact 1 [[-2,-1,0,-1],[2,1,1,1],[0,1,1,0],[1,0,-1,1]] [9,10,-1,-12] => [-16,15,9,-2] => [19,-10,24,-27] ?? [-1,25,14,-32] chain 2, fact 1 [[-2,1,1,-2],[2,-1,-2,1],[1,0,0,0],[0,1,2,2]] [9,10,-1,-12] => [15,-2,9,-16] => [9,-2,15,-16] ?? [27,-26,9,-4] chain 8, fact 1 [[-2,1,-2,0],[2,0,2,1],[1,2,0,2],[0,-2,1,-2]] [9,10,-1,-12] => [-6,4,5,3] => [6,1,8,-9] => [-27,19,-10,24] => [93,-50,59,-96] => [-354,208,-199,351] => [1314,-755,764,-1317] => [-4911,2839,-2830,4908] => [18321,-10574,10583,-18324] chain 2, fact 1 [[0,-2,1,-2],[1,2,0,2],[2,0,2,1],[-2,1,-2,0]] [9,10,-1,-12] => [3,5,4,-6] => [6,1,8,-9] ?? [24,-10,19,-27] chain 8, fact 1 [[0,1,-2,-2],[2,2,0,1],[1,0,2,2],[-2,-2,1,0]] [9,10,-1,-12] => [36,26,-17,-39] => [138,85,-76,-141] => [519,305,-296,-522] => [1941,1126,-1117,-1944] => [7248,4190,-4181,-7251] => [27054,15625,-15616,-27057] => [100971,58301,-58292,-100974] => [376833,217570,-217561,-376836] chain 2, fact 1 [[2,0,0,1],[1,1,-1,1],[-2,2,1,0],[0,-2,1,-1]] [9,10,-1,-12] => [6,8,1,-9] => [3,4,5,-6] ?? [0,-4,7,3] elapsed time: nn s
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clc clear //Initialization of variables v1=60 //ft/s d1=10 //in d2=15 //in P=15 //psia R=53.35 T=540 //R g=32.17 //ft/s^2 v1=60 //ft/s //calculations v2=v1*d1^2 /d2^2 rho=P*144/(R*T) dp=rho*(v2^2 -v1^2)/(2*g) /144 p2=P-dp //results printf("Final pressure = %.3f psia",p2)
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//scilab 5.4.1 //windows 7 operating system //chapter 8:Junction Transistors:Biasing and Amplification clc; clear; //given data b=99; Vbe=0.7; //Volatge between base and emitter in V Vcc=12; //Volatge source applied at collector in V4 Rl=2*10^3; //load resistance in ohms Rb=100*10^3; //Resistance at base in ohms Ib=(12-0.7)/((100*Rl)+Rb); //Base current in micro Ampere format("v",7) disp('mA',Ib*10^3,'Ib='); Ic=b*Ib; format("v",7) disp('mA',Ic*10^3,'Ic='); Vce=4.47; //Voltage between collector and emitter in V S=(b+1)/(1+b*Rl/(Rl+Rb)); //stabilty factor 1 disp(S,'S='); S1=b/(Rb+Rl*(1+b)); //stabilty factor 2 in A/V disp('A/V',S1,'S1='); S2=(Vcc-Vbe-(Ic*Rl))/(Rb+Rl*(1+b)); //stability factor 3 in A disp('A',S2,'S2=');
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Identity: [[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]] *(x + 1): [[x+1,0,0,0],[0,x+1,0,0],[0,0,x+1,0],[0,0,0,x+1]]
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function paraquedas() // skydiving p=800 // Peso em Newton g=9.8 // Aceleração da gravidade m/s2 k=13 // Coeficiente de atrito viscoso dt=0.1 // intervalo de tempo em segundos m=p/g // massa v(1)=0 // Condições iniciais t(1)=0 // T inicial h(1)=1400 // Altura inicial em metros cor=5 // 5 é vermelho 2 azul clf(); // limpa janela grafica for i=1:1000 // segunda lei de Newton v(i+1)=(p-k*v(i))/m*dt+v(i)// edo t(i+1)=t(i)+dt end plot2d(t,v,2) //disp(t(i), 'tempo do salto em segundos') endfunction
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clc; DBT=35; // Dry bulb temperature in degree celcius WBT=23; // Wet bulb temperature in degree celcius P=100; // Pressure of air in kPa Cpo=1.0035; // Specific heat at constant pressure in kJ/kg K R=0.287; // characteristic gas constant of air in kJ/kg K // (a).Humidity ratio hv=2565.3; // specific enthalpy hg at DBT in kJ/kg hfWBT=96.52; hfgWBT=2443; // specific enthalpy at WBT in kJ/kg PsatWBT=2.789;// Saturation pressure at WBT in kPa shWBT=0.622*PsatWBT/(P-PsatWBT);// specific humidity sh=((Cpo*(WBT-DBT))+(shWBT*hfgWBT))/(hv-hfWBT); // Humidity ratio disp ("kg w.v /kg d.a",sh,"(a).Humidity ratio ="); // (b).Relative Humidity pv=sh*P/(0.622+sh); // Partial pressure of water vapour pg=5.628; // Saturation pressure at DBT in kPa RH=pv/pg; //Relative Humidity disp ("%",RH*100,"(b).Relative Humidity ="); // (d).Dew point temperature DPT=17.5; // Saturation temperature at pg in degree celcius disp ("oC",DPT,"(d).Dew point temperature ="); // (e).Specific volume v=(R*(DBT+273))/(P-pv); // Specific volume disp ("m^3/kg",v,"(e).Specific volume = "); // (d).Enthalpy of air h=(Cpo*DBT)+(sh*hv); //Enthalpy of air disp ("kJ/kg d.a",h,"(d).Enthalpy of air =");
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//Example 7.11 m=60;//Mass of the woman (kg) v_f=2;//Final speed (m/s) g=9.80;//Acceleration due to gravity (m/s^2) h=3;//Height (m) t=3.50;//Time taken (s) P=[(1/2*m*v_f^2)+(m*g*h)]/t;//Power (W) printf('Power output = %0.1f W',P) //Answer varies due to round off error //Openstax - College Physics //Download for free at http://cnx.org/content/col11406/latest
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clc clear //Initialization of variables N2=78.1 M=29 ba=2.12 co2=8.7 co=8.9 x4=0.3 x5=3.7 x6=14.7 //calculations O2=N2/3.76 c=14.7 Z=2.238 X=(Z*17-x4*4-x5*2)/2 a=co2+co/2+x4+x6/2 b=3.764*a AF=(O2+N2)*M/(Z*113) //results printf("Air fuel ratio = %.1f lbm air/lbm fuel",AF)
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//Example 1.3 // design heating element clc; clear; close; format('v',7) V=440;// volts P=20;//in kW T1=1200;//in degree celsius T2=700;// in degree celsius K=0.6;//radiating efficiency e=0.9;//emissivity t=0.025;//thickness in mm p=1.05*10^-6;//resisitivity in ohm - meter Pp=(round(P*10^3))/3;//power per phase in watts Pv= (V/sqrt(3));//phase voltage R=Pv^2/Pp;//resistance of strip in ohms x=((R*t*10^-3)/(p));// H=((5.72*K*e)*(((T1+273)/100)^4-((T2+273)/100)^4));//in W/m^2 y=((Pp)/(H*2));//in m^2 w=sqrt(y/x)*10^3;//width in mm l=x*w*10^-3;//length of strip in meter disp(w,"width in mm") disp(l,"length of strip in meter")
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clc clear //Input data r1=6;//Initial compression ratio r2=7;//Final compression ratio r=1.4;//Isentropic coefficient of air //Calculations nr1=(1-(1/r1)^(r-1))*100;//Otto cycle efficiency when compression ratio is 6 in percentage nr2=(1-(1/r2)^(r-1))*100;//Otto cycle efficiency when compression ratio is 7 in percentage n=nr2-nr1;//Increase in efficiency in percentage //Output printf('The increase in efficiency due to change in compression ratio from 6 to 7 is %3.1fpercent',n)
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//Chapter 4 Ex 11 clc; close; clear; expr=4-(5/(1+(1/(3+(1/(2+(1/4))))))); mprintf("The Value of expression is %.3f",expr);
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m = 100; // число конечных элементов P = -100; // нагрузка // Массив из m+1 равномерно распределенных точек на интервале [0,1] nodeCoordinates = linspace(0, 1, m+1)'; L = max(nodeCoordinates); // Наибольшая координата узлов, т.е. L=1 numberNodes = size(nodeCoordinates,1); xx = nodeCoordinates; E = 1; I = 1; EI = E*I; // Изгибная жесткость балки GDof = 2*numberNodes; // Глобальное число степеней свобод U = zeros(GDof,1); force = zeros(GDof,1); // Глобальный столбец сил stiffness = zeros(GDof,GDof); // Глобальная матрица жесткости displacements = zeros(GDof,1); // Глобальный столбец прогибов // Нумерация узлов каждого элемента (для первого индексы: [1, 2]) for i = 1:m elementNodes(i,1) = i; elementNodes(i,2) = i+1; end for e=1:m // Пробегаем все элементы indice=elementNodes(e,:); // Номера узлов элемента (2 штуки) // Номера степеней свобод, принадлежащих элементу (4 штуки) elementDof = [ 2*(indice(1)-1)+1 2*(indice(2)-1) ... 2*(indice(2)-1)+1 2*(indice(2)-1)+2]; h = xx(indice(2)) - xx(indice(1)); // Длина элемента // Набиваем локальный столбец сил каждого элемента f1 = (P*h/2)*[1 6*h 1 -6*h]'; force(elementDof)=force(elementDof)+f1; // Набиваем локальную матрицу жесткости каждого элемента k1=(EI/h^3)*[ 12 6*h -12 6*h ;... 6*h 4*h^2 -6*h 2*h^2 ;... -12 -6*h 12 -6*h ;... 6*h 2*h^2 -6*h 4*h^2 ]'; stiffness(elementDof,elementDof)=stiffness(elementDof,elementDof)+k1; end // Граничные условия: оба конца защемлены fixedNodeU = [1 2*m+1]; fixedNodeV = [2 2*m+2]; prescribedDof = [fixedNodeU;fixedNodeV]; activeDof = setdiff([1:GDof]',[prescribedDof]); U = stiffness(activeDof,activeDof) \ force(activeDof); displacements = zeros(GDof,1); displacements(activeDof) = U; U = displacements(1:2:2*numberNodes); plot(nodeCoordinates,U,'b:'); // синий штрих чере две точки // Граничные условия: оба конца свободно оперты fixedNodeU = [1 2*m+1]; fixedNodeV = []; prescribedDof = [fixedNodeU;fixedNodeV]; activeDof = setdiff([1:GDof]',[prescribedDof]); U = stiffness(activeDof,activeDof) \ force(activeDof); displacements = zeros(GDof,1); displacements(activeDof) = U; U = displacements(1:2:2*numberNodes); plot(nodeCoordinates,U,'r--'); // красный штрих // Граничные условия: левый конец защемлен // правый конец свободно оперт fixedNodeU = [1 2*m+1]; fixedNodeV = [2 2*m+1]; prescribedDof = [fixedNodeU;fixedNodeV]; activeDof = setdiff([1:GDof]',[prescribedDof]); U = stiffness(activeDof,activeDof) \ force(activeDof); displacements = zeros(GDof,1); displacements(activeDof) = U; U = displacements(1:2:2*numberNodes); plot(nodeCoordinates,U,'k-'); // черная сплошная линия // Граничные условия: левая половина балки защемлена, // правая половина вся свободна fixedNodeU = [1:m]; fixedNodeV = [1:m]; prescribedDof = [fixedNodeU;fixedNodeV]; activeDof = setdiff([1:GDof]',[prescribedDof]); U = stiffness(activeDof,activeDof) \ force(activeDof); displacements = zeros(GDof,1); displacements(activeDof) = U; U = displacements(1:2:2*numberNodes); plot(nodeCoordinates,U,'g-'); // зеленая сплошная линия
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// Discretizing a tf with delay // Exact solution // Applicable for first order system // Ref.: pg.287,Digital Control,Prof.Kannan Moudgalya // D: Delay // TF: e^(-Ds) OR e^(-Ds) // ------------ ------------ (gen.) // tau*s + 1 tau*s + a //D = kTs + D' (gen.) // G: TF with delay component // G1: TF with zero delay // Required because G cannot be directly used in Scilab // Coefficients are returned for ascending powers of z^-1 function [B,A,k1] = delc2d(G,G1,Ts) D = G.iodelay; d = coeff(G1('den')); if d(1) == 1 tau = d(2); mu = 1; else tau = d(2)/d(1); mu = 1/d(1); end; k = floor(D/Ts); Dpri = D - k*Ts; Dis = ((%z*(1 - (exp(-(Ts - Dpri)/tau)) ) )+ (exp(-(Ts - Dpri)/tau) - exp(-Ts/tau) ))/ ((%z^(k+1))*(%z - exp(-Ts/tau))) Dis1 = Dis*mu; disp('Warning: Exact discretization of first order system only'); k1 = degree(Dis1('den')) - degree(Dis1('num')); B = coeff(Dis1('num')); A = coeff(Dis1('den')); B = flip(B); A = flip(A); endfunction;
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//CHAPTER 1- D.C. CIRCUIT ANALYSIS AND NETWORK THEOREMS //Example 28 clc; disp("CHAPTER 1"); disp("EXAMPLE 28"); //VARIABLE INITIALIZATION I1=5; //current source in Amperes va=100; //voltage source in Volts r1=20; //in Ohms r2=10; //in Ohms r3=20; //in Ohms //SOLUTION IN=I1-(va/r1); //using nodal analysis at point 'a' rN=r1+((r3*0)/(r3+0)); I=(rN*IN)/(rN+r2); disp(sprintf("By Norton Theorem, the value of I is %d A",I)); //END
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//Find the Amount of Heat needed to raise the temperature from 25 degree celsius to 35 degree celsius. //Example 27.1 clear; clc; Ao=0.32;//Mass of Oxygen kept in gram W=32;//Molecular weight of Oxygen in g/mol n=Ao/W;//Number of moles of oxygen Cv=20;//Molar Heat Capacity of Oxygen at constant volume T1=25;//Initial Temperature T2=35;//Final Temperature delT=T2-T1;//Change in Temperature Q=n*Cv*delT;//Amount of Heat needed printf("Amount of Heat required=%d joule",Q);
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T=1: T2 T4 T7 T3: T4: T5 T6 T5: T6: T5 T7: T6
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clear s=poly(0,'s') ////////////////////////////////////Planta////////////////////////////////////// //Definición de parámetros Mc = 1 Mp = 0.25 Ip = 7.88*10e-3 lp = 0.33 ng = 1 Kg = 3.7 nm = 1 Kt = 0.00767 Rm = 2.6 rmp = 6.35*10e-3 Beq = 5.4 Km = 0.00767 g = 9.81 Bp = 0.0024 //Constantes definidas betaa = (Mc+Mp)*Ip + Mc*Mp*lp*lp; gammaa = ng*Kg*nm*Kt/(Rm*rmp*rmp); //Matriz A A22 = -(Ip + Mp*lp*lp)*Beq/betaa - (Ip+Mp*lp*lp)*Kg*Km*gammaa/betaa; A23 = Mp*Mp*lp*lp*g/betaa; A24 = Mp*lp*Bp/betaa; A42 = (Mp*lp*Beq + Mp*lp*Kg*Km*gammaa)/betaa; A43 = -(Mc+Mp)*Mp*g*lp/betaa; A44 = -(Mc+Mp)*Bp/betaa; A = [0,1,0,0; 0,A22,A23,A24; 0,0,0,1; 0,A42,A43,A44]; //Matriz B B2 = (Ip + Mp*lp*lp)*rmp*gammaa/betaa; B4 = -Mp*lp*rmp*gammaa/betaa; B = [0; B2; 0; B4]; //Matriz C //Si se toma como salida la posición del carrito C1 = [1, 0, 0, 0]; //Si se toma como salida el ángulo del péndulo C2 = [0, 0, 1, 0]; //Matriz D: se asume cero D = [0.001]; //Modelo de la planta planta=syslin('c',A,B,C1,D); ////////////////////////Controlador H-infinito////////////////////////////////// //Se usa el mixed-sensitivity approach //A = error de seguimiento mínimo en estado estable //ωB = ancho de banda mínimo //M = magnitud máxima de S a=0.0002; m=2; wb=100; //Selección de pesos w w1_n = ((1/m)*s+wb); w1_d = (s+wb*a); w1 = syslin('c',w1_n,w1_d); w2_d = 2*(s/1000 + 1); w2_n = s/300+1; w2 = syslin('c',w2_n,w2_d); //Se crea una planta generalizada [Ap0,Bp0,Cp0,Dp0] = abcd(planta); [Aw1,Bw1,Cw1,Dw1] = abcd(w1); [Aw2,Bw2,Cw2,Dw2] = abcd(w2); Ap = [Ap0 zeros(size(Ap0,1),size(Aw1,2)) zeros(size(Ap0,1),size(Aw2,2)); -Bw1*Cp0 Aw1 zeros(size(Aw1,1),size(Aw2,2)); Bw2*Cp0 zeros(size(Aw2,1),size(Aw1,2)) Aw2]; Bp = [zeros(size(Bp0,1),size(Bw1,2)) Bp0; Bw1 zeros(size(Bw1,1),size(Bp0,2)); zeros(size(Bw2,1),size(Bw1,2)) zeros(size(Bw2,1),size(Bp0,2))]; Cp = [-Dw1*Cp0 Cw1 zeros(size(Cw1,1),size(Cw2,2)); Dw2*Cp0 zeros(size(Cw2,1),size(Cw1,2)) Cw2; -Cp0 zeros(size(Cp0,1),size(Cw1,2)) zeros(size(Cp0,1),size(Cw2,2))]; Dp = [Dw1 0.001; 0 0; 1 0]; //D12 para que la matriz sea de rango completo p_gen = syslin('c',Ap,Bp,Cp,Dp); //Se sintetiza el controlador Sk = ccontrg(p_gen,[1,1],5); //SISO = single input single output [Ak,Bk,Ck,Dk] = abcd(Sk);
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// on veut creer un champ de vitesse pour un objet... // histoire de se derouiller les meninges clear getd("src/transformation") //1 . Creation de l'objet : c'est un ensemble de points 3D // creation d'un cube body = [0,0,0;0,0,1;0,1,0;0,1,1;1,0,0;1,0,1;1,1,0;1,1,1]; //2. On definit la position du cube dans un repere fixe o pose = [0, 2, 3, %pi/8, 0, 0]; oMb = homogeneousMatrixFromPos(pose); body_in_o =[]; //3. On place le cube dans le repere 0 for i=1:size(body,1) //on construit un point sous la forme homogene bP = [body(i,:),1]'; oP = oMb*bP; body_in_o=[body_in_o;oP(1:3)'] ; end //4. On trace le Cube plot3d ([0,0.5],[0,1],[0,1]); hr1 = gce (); hr1.thickness=3; hr1.foreground=5; //5. On definit la vitesse a applique au cube //6. Pour tous les points en en deduis la vitesse //7. On trace le cube //8. On trace le champs de vitesse
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//Problem 1 //Calculate the fringe shift clear clc l=10// Optical path of each beam in m w=550// wavwlength of light used in nm v= 10^(-4)// ratio of velocity of beam and velocity of light f=(2*l*(v^2))/(w*10^(-9))// fringe shift printf('fringe shift = %.2f ',f)
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// 2.1.SCE exec("grad2.sci"); exec("div2.sci"); imOrigins = double(imread("Images/lena.bmp")); im = double(imread("Images/lena.bmp")); // moyenne nullle (pour le bruit à venir) noise_mean = 0; // écart-type 20 noise_sigma = 20; // variance calculée à partir de l'écart-type noise_var = noise_sigma^2; noisyImg = im + noise_sigma * rand(im,"normal") + noise_mean; dt=0.25; nbIterations = 100; result = noisyImg; for i=1:nbIterations g=grad2(result); d=div2(g); result=result+dt*d; end result ShowImage(uint8(result), "ShowImage pu*ain de me*de"); imwrite(result/255, "lena_EDPfilter.jpg"); imwrite((result-imOrigins)/255, "lena_EDPdiffOrig.jpg"); // écart-type filtre gaussien sigma = sqrt(2 * nbIterations * dt); gaussianFilter = fspecial("gaussian", [7, 7], sigma); // version "à la main" filtered = imfilter(noisyImg, gaussianFilter); imwrite(filtered/255, "lena_GaussianFilter.jpg");
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errcatch(-1,"stop");mode(2); //example 9.10 //page 333 ; funcprot(0); //initialisation of variable f1=0.021//friction in pipe 1 d1=0.2; k=f1*(10+50+30+20+100)/d1^5+2*0.9/d1^4+10/d1^4+2*1.2/d1^4;//k=(HL)1/(16Q^2/2pi^2g) f2=0.023//friction pipe 2 d2=0.15; L2=k*d2^5/f2; disp(L2,"length of pipe2 (m)=") exit();
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clc; clear; v1=200;//m/s v2=500;//m/s A1=1;//m^2 p1=78.5;//kPa(abs) T1=268;//K p2=101;//kPa(abs) //F=-p1*A1 + p2*A2 + m*(v2-v1) //m=d1*A1*v1 //d1=(p1)/(R*T1) d1=(p1*1000)/(286.9*T1); m=d1*v1*A1; F=-((p1-p2)*A1*1000) + m*(v2-v1); disp("N",F,"The thrust for which the stand is to be designed=")
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// Example 13.16 // Impulsive Zero -State Response C_1=1/20; C_2=1/20; R=5; L=1; s=%s; Z_s=1/(s*C_1)+1/((s*C_2)+1/R+1/(s*L)); // Overall impedance of the circuit V_s=80/s; I_s=V_s/Z_s; t=0:0.01:10 pfe=pfss(I_s); // Taking inverse Laplace transfrom we get // Inverse laplace transform of pfe(1) i_1=4.80*exp(-t).*cos(3*t-((%pi*33.7)/180)); //inverse laplace of pfe(2) i_2=2; i=i_1+i_2; plot(t,i) xlabel('t') ylabel('i(t)') title("Current waveform")
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clear //Given N=100 A=3 B=0.04 //T w=60 R=500 //ohm //Calculation E0=N*A*B*w I0=E0/R P=E0*I0 //Result printf("\n Maximum power dissipated in the coil is %0.3f W", P)
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// Example 1.75 clc;clear;close; // Given data format('v',6); R2=0.05;//in ohm X2=0.1;//in ohm //calculations R2dash=X2;//for max Torque r=R2dash-R2;//in ohm disp(r,"External resistance per phase required in ohm : ");
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// Example 1.53 The probabibility that an entering college student clc; clear; function result= binomial(n, k, p) result = factorial(n)*(p^k)*((1-p)^(n-k))/(factorial(k)*factorial(n-k)) endfunction n=5; k1=0; k2=1; p=0.4; prob1=binomial(n , k1 , p); prob2=binomial(n , k2 , p); disp(1-prob1,"Probability that atleast one is graduate",prob2," Probability that one is graduate =",prob1, " Probability that none is a graduate=",p,"Probability that student will be graduate =",n,"No. of student entering the college =");
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exec("to_string.sce",-1) exec("wave_2d.sce",-1) function z = it0(x,y) kx = 2*%pi ky = 2*%pi z = sin(3*kx*x)*sin(ky*y) endfunction function z = i1t0(x,y) z = 0.0 endfunction function z = bxyt(x,y,t) z = 0.0 endfunction a = 0.25 D = [0 1 0 1] T = 2 Mx = 40 My = 40 N = 100 [u,x,y,t] = wave_2d(a,D,T,it0,i1t0,bxyt,Mx,My,N)
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#------------------------------------------------------------------------------- *Testcase Initial control register values msglevel -debug numcpu 1 *Compare #------------------------------------------------------------------------------- # start with z archlvl z/arch cr *Cr 14 00000000C2000000 #------------------------------------------------------------------------------- # change 14, then switch to 390; 14 should have initial value cr 14=abc *Cr 14 0000000000000ABC archlvl 390 cr *Cr 14 C2000000 #------------------------------------------------------------------------------- # change 2, then switch to 370; 2 should have initial value cr 2=abc *Cr 2 00000ABC archlvl 370 cr *Cr 2 FFFFFFFF #------------------------------------------------------------------------------- # change 14, then switch to 390; 14 should have initial value cr 14=abc *Cr 14 00000ABC archlvl 390 cr *Cr 14 C2000000 #------------------------------------------------------------------------------- # change 14, then switch to z; 14 should have initial value cr 14=abc *Cr 14 00000ABC archlvl z/arch cr *Cr 14 00000000C2000000 *Done nowait #-------------------------------------------------------------------------------
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//Example 5.2 //Root locus with respect to a plant open loop pole. xdel(winsid())//close all graphics Windows clear; clc; //------------------------------------------------------------------ //System transfer function and its root locus s=poly(0,'s'); Gs=s/(s*s+1); //Title, labels and grid to the figure exec .\fig_settings.sci; //custom script for setting figure properties evans(Gs,100) title(['Root locus vs. damping factor','$c$',... 'for','$1+G(s)=1+1/[s(s+c)]=0$'],'fontsize',3) zoom_rect([-2 -1.5 2 1.5]) h=legend(''); h.visible = "off" //------------------------------------------------------------------
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clc clear disp('example 15.1') a=0.1 //plate area b=3 //flux density d=0.5 //distence between plates v=1000 //average gas velosity c=10 //condectivity e=b*v*d ir=d/(c*a) //internal resistence mapo=e^2/(4*ir) //maximum power output printf("E=%dV \ninternal resistence %.1fohm \nmaximum power output %dW =%.3fMW",e,ir,mapo,mapo/10^6)
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errcatch(-1,"stop");mode(2); // Example 1.a : static error , // given : vm=112.68; // voltmeter in volts vt=112.6; // voltage in volts Es=vm-vt; disp(Es,"static error,Es = (V)") exit();
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clc clear //Initialization of variables Pc=22.12*10^6 //Pa Tc=647.3 //K Zc=0.234 T=973.1 //K P=25*10^6 //Pa //calculations Tr=T/Tc Pr=P/Pc Z=0.916 Zn=Z+0.05*(Zc-0.27) //results printf("Compresson factor = %.3f ",Zn)
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function [stk,txt,top]=sci_find() // Copyright INRIA if lhs==1 then [m,n]=checkdims(stk(top)) if m==1 then //row vector stk=list('find('+stk(top)(1)+')','0','1','?','1') elseif n==1 then //column vector stk=list('find('+stk(top)(1)+')''','0','1','?','1') else stk=list('matrix(find('+stk(top)(1)+'),1,-1)','0','1','?','1') end elseif lhs==2 then [i,j]=lhsvarsnames() txt='['+j+','+i+'] = find('+stk(top)(1)+');'+i+' = '+i+'(:);'+j+' = '+j+'(:);' stk=list(list('?','-2','1','?','1'),list('?','-2','1','?','1')) else [i,j,v]=lhsvarsnames() temp=gettempvar() txt=[temp+' = '+stk(top)(1)+';' '['+j+','+i+'] = find('+temp+');'+i+'='+i+'(:);'+j+'='+j+'(:);' temp+' = '+temp+'(:)' 'if '+i+'<>[] then '+v+' = '+temp+'('+i+'+size('+temp+',1)*('+j+'-1)) ;else '+v+' = [],end'] r=list('?','-2','1','?','1'), stk=list(r,r,r) end
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//différents types de handles //*************************** // les handles de lignes //*************************** //Polyline clf; plot();E=gce();E.children(1).type clf; param3d();E=gce();E.type clf; param3d1();E=gce();E.type clf; plot2d();E=gce();E.children(1).type clf; plot2d2();E=gce();E.children(1).type clf; plot2d3();E=gce();E.children(1).type clf; plot2d4();E=gce();E.children(1).type clf; histplot();A=gca();E=A.children(2);E.type //Champ clf; champ();E=gce();E.type clf; champ1();E=gce();E.type //Arc clf; xarcs([0;1;1;1;0;64*180]);E=gce();E.children(1).type clf; xfarcs([0;1;1;1;0;64*180]);E=gce();E.children(1).type //Rectangle clf; xrect([0,1,1,1]);E=gce();E.type clf; xrects([0;1;1;1],5);E=gce();E.children(1).type clf; xfrect([0,1,1,1]);E=gce();E.type //Segs clf; xarrows([0,0],[1,1]);E=gce();E.type clf; xsegs([0,0],[1,1]);E=gce();E.type //*************************** // les handles de Surfaces //*************************** //Fac3d clf; surf();E=gce();E.type clf; hist3d();E=gce();E.children(1).type //plot3d clf; fplot3d();E=gce();E.type clf; plot3d();E=gce();E.type clf; plot3d1();E=gce();E.type //Grayplot clf; grayplot();E=gce();E.type clf; fgrayplot();E=gce();E.type //Fec clf; Sgrayplot();E=gce();E.children(1).children(1).type clf; Sfgrayplot();E=gce();E.children(1).children(1).type //Matplot clf; Matplot();E=gce();E.children(1).type clf; Matplot1();E=gce();E.children(1).type //*************************** // Les handles de textes //*************************** //Text clf; xstring(0,0,'abcde');E=gce();E.type clf; plot2d();legends('courbe',5,1);E=gce();E.children(1).type //Legends clf; plot2d();A=gca();legend(A,'f','g','h');E=gce();E.type //Axis clf; drawaxis();E=gce();E.type //Labels clf; plot3d();A=gca();E=A.x_label;E.type
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function w_out = wind (f, m, varargin) //This function creates an m-point window from the function f given as input. //Calling Sequence //w = window(f, m) //w = window(f, m, opts) //Parameters //f: string value/window name //m: positive integer value //opts: string value, takes in "periodic" or "symmetric" //w: output variable, vector of real numbers //Description //This function creates an m-point window from the function f given as input, in the output vector w. //f can take any valid function as a string, for example "blackmanharris". //Examples //window("hanning",5) //ans = // 0. // 0.5 // 1. // 0.5 // 0. funcprot(0); rhs = argn(2) lhs = argn(1) if(type(f)==10) // Checking whether 'f' is string or not if(f=="bartlett" | f=="blackman" | f=="blackmanharris" | f=="bohmanwin" | f=="boxcar" |... f=="barthannwin" | f=="chebwin"| f=="flattopwin" | f=="gausswin" | f=="hamming" |... f=="hanning" | f=="hann" | f=="kaiser" | f=="parzenwin" | f=="triang" |... f=="rectwin" | f=="tukeywin" | f=="blackmannuttall" | f=="nuttallwin") if(rhs<2) error("Wrong number of input arguments.") else c =evstr (f); w=c(m, varargin(:)) if (lhs > 0) w_out = w; end end else error("Use proper Window name") end else error("The first argument f that is window name should be a string") end endfunction
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s=%s; p=s^4+8*s^3+18*s^2+16*s+5 r=routh_t(p) m=coeff(p) l=length(m) c=0; for i=1:l if (r(i,1)<0) c=c+1; end end if(c>=1) printf("System is unstable") else ("Sysem is stable") end
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-- C23003G.TST -- Grant of Unlimited Rights -- -- Under contracts F33600-87-D-0337, F33600-84-D-0280, MDA903-79-C-0687, -- F08630-91-C-0015, and DCA100-97-D-0025, the U.S. Government obtained -- unlimited rights in the software and documentation contained herein. -- Unlimited rights are defined in DFAR 252.227-7013(a)(19). By making -- this public release, the Government intends to confer upon all -- recipients unlimited rights equal to those held by the Government. -- These rights include rights to use, duplicate, release or disclose the -- released technical data and computer software in whole or in part, in -- any manner and for any purpose whatsoever, and to have or permit others -- to do so. -- -- DISCLAIMER -- -- ALL MATERIALS OR INFORMATION HEREIN RELEASED, MADE AVAILABLE OR -- DISCLOSED ARE AS IS. THE GOVERNMENT MAKES NO EXPRESS OR IMPLIED -- WARRANTY AS TO ANY MATTER WHATSOEVER, INCLUDING THE CONDITIONS OF THE -- SOFTWARE, DOCUMENTATION OR OTHER INFORMATION RELEASED, MADE AVAILABLE -- OR DISCLOSED, OR THE OWNERSHIP, MERCHANTABILITY, OR FITNESS FOR A -- PARTICULAR PURPOSE OF SAID MATERIAL. --* -- CHECK THAT THE NAME OF A GENERIC LIBRARY UNIT PACKAGE AND THE NAME -- OF A GENERIC LIBRARY UNIT SUBPROGRAM CAN BE AS LONG -- JBG 5/26/85 -- DTN 3/25/92 CONSOLIDATION OF C23003G.TST AND C23003H.TST. -- KAS 12/4/95 CHANGE "LINE" TO "IDENTIFIER" GENERIC PACKAGE $BIG_ID1 IS A : INTEGER := 1; END $BIG_ID1 ; GENERIC PACKAGE $BIG_ID2 IS B : INTEGER := 2; END $BIG_ID2 ; GENERIC FUNCTION $BIG_ID3 RETURN INTEGER; FUNCTION $BIG_ID3 RETURN INTEGER IS BEGIN RETURN 3; END $BIG_ID3 ; GENERIC FUNCTION $BIG_ID4 RETURN INTEGER; WITH REPORT; USE REPORT; PRAGMA ELABORATE (REPORT); FUNCTION $BIG_ID4 RETURN INTEGER IS BEGIN RETURN IDENT_INT(4); END $BIG_ID4 ; WITH $BIG_ID3 ; PRAGMA ELABORATE ( $BIG_ID3 ); FUNCTION F1 IS NEW $BIG_ID3 ; WITH $BIG_ID1 ; PRAGMA ELABORATE ( $BIG_ID1 ); PACKAGE C23003G_PKG IS NEW $BIG_ID1 ; WITH C23003G_PKG, F1, $BIG_ID2 , $BIG_ID4 ; USE C23003G_PKG; WITH REPORT; USE REPORT; PROCEDURE C23003G IS PACKAGE P2 IS NEW $BIG_ID2 ; USE P2; FUNCTION F2 IS NEW $BIG_ID4 ; BEGIN TEST ("C23003G", "CHECK LONGEST POSSIBLE IDENTIFIER CAN BE USED " & "FOR GENERIC LIBRARY PACKAGE AND SUBPROGRAM"); IF A + IDENT_INT(1) /= B THEN FAILED ("INCORRECT PACKAGE IDENTIFICATION"); END IF; IF F1 + IDENT_INT(1) /= F2 THEN FAILED ("INCORRECT FUNCTION IDENTIFICATION"); END IF; RESULT; END C23003G;
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figure(1); clf; //2 6 a = 5; b = 1.5; t = linspace(0, 12*%pi, 300); //x = (a - b) * cos(t) + b * cos((a - b) / b * t); //y = (a - b) * sin(t) - b * sin((a - b) / b * t); x = (a - b) * cos(3 * t) + b * cos((a - b) / b * 3 * t); y = (a - b) * sin(2 * t) - b * sin((a - b) / b * 2 * t); plot(x, y);
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function [stk,nwrk,txt,top]=f_expm(nwrk) //!purpose // Scilab expm function translation //!parameters // - stk : // On entry stk is a global variable of type list // entries indexed from top-1+rhs:top give the definition of the rhs // function input variables // // After execution stk(1:lhs) must contain the definition of the // lhs returned variables // // stk entries have the following structure: // stk(k)=list(definition,type_expr,type_var,nb_lig,nb_col) // // *definition may be: // - a character string containing a Fortran expression with // a scalar value ex:'a+2*b-3*c(1); // - a character string containing a reference to the first // entry of a Fortran array // 'a' if a is a defined matrix // 'work(iwn)' if variable is stored in the double // precision working array work // 'iwork(iiwn)' if variable is stored in the integer // working array iwork // remark: complex array are defined by a definition part // with 2 elements (real and imaginary parts definition) // *type_expr a character string: the expression type code (used // to indicate need of parenthesis ) // '2' : the expression is a sum of terms // '1' : the expression is a product of factors // '0' : the expression is an atome // '-1': the value is stored in a Fortran array // *type_var a character string: codes the variable fortran type: // '1' : double precision // '0' : integer // '10': character // // *nb_lig (, nb_col) : character strings:number of rows // (columns) of the matrix // des chaines de caracteres // // nwrk : this variable contain information on working arrays, error // indicators. It only may be modified by call to scilab functions // outname adderr getwrk // // txt : is a column vector of character string which contain the // fortran code associated to the function translation if // necessary. // top : an integer // global variable on entry // after execution top must be equal to top-rhs+lhs //! nam='expm' txt=[] s2=stk(top) if (s2(4)=='1'&s2(5)=='1') then v=s2(1) it2=prod(size(v))-1 if it2==0 then [stk,nwrk,txt,top]=f_gener(nam,nwrk) else error(nam+' complex is not implemented') end else [s2,nwrk,t0]=typconv(s2,nwrk,'1') n=s2(4) [errn,nwrk]=adderr(nwrk,'exp fails!') [out,nwrk,t1]=outname(nwrk,'1',n,n,s2(1)) [wrk,nwrk,t2]=getwrk(nwrk,'1',mulf(n,addf(mulf('4',n),'5')),'1') [iwrk,nwrk,t3]=getwrk(nwrk,'0',mulf('2',n),'1') txt=[t0;t1;t2;t3; gencall(['dexpm1',n,n,s2(1),out,n,wrk,iwrk,'ierr']); genif('ierr.ne.0',[' ierr='+string(errn);' return'])] [nwrk]=freewrk(nwrk,wrk) [nwrk]=freewrk(nwrk,iwrk) stk=list(out,'-1','1',n,n) end
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//to find the no of starter sections reqd,and resistance of each section clc; I1=55; I2=35; g=I1/I2; V1=220; R1=V1/I1; Ra=.4; n=log((R1/Ra)-g)+1; disp((n),'no of starter sections reqd'); function [R]=res (re) R=(1/g)*re; endfunction R_1=R1-res(R1);disp(R_1,'R1(ohm)'); R_2=res(R_1);disp(R_2,'R2(ohm)');
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// Plot two functions x = -20:0.01:20 y1 = x.^2-2*x-3 y2 = x.^2+8*x+16 plot(x,y1) plot(x,y2) plot(-1.9,4.5,'g*')
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//Example 9.7 //Givens QR Method //Page no. 303 clc;clear;close; A=[4,2,1;2,5,-2;1,-2,7] deff('y=c(i,j)','y=A(j,j)/sqrt((A(i,j)^2+A(j,j)^2))') deff('y=s(i,j)','y=A(i,j)/sqrt((A(i,j)^2+A(j,j)^2))') disp(A,'A=') R=A;Q=eye(3,3); m=1; for j=1:2 for i=j+1:3 for k=1:3 //C matrix evaluation for l=1:3 if(k==l) if(k==i | k==j) C(k,l)=c(i,j) else C(k,l)=1 end end if(k>l) if(k==i & l==j) C(k,l)=-1*s(i,j) else C(k,l)=0 end end if(k<l) if(k==j & l==i) C(k,l)=s(i,j) else C(k,l)=0 end end end end printf('\n\n Iteration %i',m) m=m+1 disp(C,'C='); R=C*R; Q=Q*C'; disp(Q,'Q=',R,'R=') end end disp(Q*R,'Q*R=A=') //verification
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; checks ite as a formula (set-logic QF_UF) (declare-fun a () Bool) (assert (ite true a a))
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clc;clear; //Example 9.4 //given data e=1.6*10^-19;//the charge on electron in C m=9.12*10^-31;//mass of electron in kg c=3*10^8;//speed of light in m/s h=6.625*10^-34;//Plank's constant //calculations E=m*c^2; mp=1836*m; //(0.5*m*v^2)=E mv=sqrt(E*2*mp); W=h/mv; disp((W/10^-10),'de broglie wavelength in Angstrom')
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clear; clc; x=0:.1:11 f=0.2; plot(x,cos(2*%pi*x*f)); xtitle('Continuous Cosine Signal') xlabel('x') ylabel('cos(x)')
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function q = createQuaternion(alpha,u) //Author : Maxens ACHIEPI //Space Robotics Laboratory - Tohoku University //Description: //Outputs the quaternion qOut = q1*q2; //INPUT //alpha: angle of rotation (radian) //u: axis of rotation //OUTPUT //q: the quaternion of unit magnitude representing the rotation of alpha around u //----------------------------------------------------------------------------// u = u/norm(u); q = [cos(alpha/2), sin(alpha/2)*u(1), sin(alpha/2)*u(2), sin(alpha/2)*u(3)]; q = q/norm(q); endfunction
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// Example 2.8.3 clc; clear; n1=1.482; //refractive index of core n2=1.474; //refractive index of cladding lamda=820d-9; //Wavelength NA=sqrt(n1^2 - n2^2); //computing Numerical aperture theta= asind(NA); //computing acceptance angle solid_angle=%pi*(NA)^2; //computing solid angle a=2.405*lamda/(2*3.14*NA); //computing core radius a=a*10^6; printf("\nNumerical aperture is %.3f.\nAcceptance angle is %.1f degrees.\nSolid angle is %.3f radians.\nCore radius is %.2f micrometer.",NA,theta,solid_angle,a); //answer in the book for Numerical aperture is 0.155, deviation of 0.001. //answer in the book for acceptance angle is 8.9, deviation of 0.1. //answer in the book for solid acceptance angle is 0.075, deviation of 0.001. //answer in the book for core radius is 2.02 micrometer, deviation of 0.02 micrometer.
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// Exa 1.21 clc; clear; close; // Given Data V_S = 4;// in V V_D1 = 0.7;// in V V_D2 = 0.7;// in V R = 5.1*10^3;// in ohm I_T = (V_S-V_D1-V_D2)/R;// in A disp(round(I_T*10^6),"The total current in µA is");
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//Displacement thickness and stress// pathname=get_absolute_file_path('9.04.sce') filename=pathname+filesep()+'9.04-data.sci' exec(filename) //Reynolds number: ReL=U*L/v //FOR TURBULENT FLOW //Disturbance thickness(in m): dL1=0.382/ReL^0.2*L //Displacement thickness(in m): function y=f(n),y=dL1*(1-n^(1/7)) endfunction dl1=intg(0,1,f) //Skin friction coefficient: Cf1=0.0594/ReL^0.2 //Wall shear stress(in N/m^2): tw1=Cf1*0.5*d*U^2 //For LAMINAR FLOW: //Disturbance thickness(in m) dL2=5/sqrt(ReL)*L //Displacement thickness(in m): dl2=0.344*dL2 //Skin friction coefficient: Cf2=0.664/sqrt(ReL) //Wall shear stress(in N/m^2): tw2=Cf2*0.5*d*U^2 //COMPARISON OF VALUES WITH LAMINAR FLOW //Disturbance thickness D=dL1/dL2 //Displacement thickness DS=dl1/dl2 //Wall shear stress WSS=tw1/tw2 printf("\n\nRESULTS\n\n") printf("\n\nDisturbace thickness: %.3f m\n\n",dL1) printf("\n\nDisplacement thickness: %.3f m\n\n",dl1) printf("\n\nWall shear stress: %f N/m^2\n\n",tw1) printf("\n\nCOMPARISON WIH LAMINAR FLOW\n\n\n") printf("\n\n Disturbance thicknes: %.3f \n\n",D) printf("\n\nDisplacement thickness: %.3f\n\n",DS) printf("\n\nWall shear stress: %.3f \n\n",WSS)
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function [x,y,typ]=CLKOUT_f(job,arg1,arg2) x=[];y=[];typ=[]; select job case 'plot' then graphics=arg1(2); [orig,sz,orient,label]=graphics(1:4) model=arg1(3);prt=model(9) if orient then x=[orig(1);orig(1)+sz(1);orig(1)+sz(1);orig(1)] y=[orig(2)+sz(2)/2;orig(2)+sz(2);orig(2);orig(2)+sz(2)/2] else x=[orig(1);orig(1);orig(1)+sz(1);orig(1)] y=[orig(2);orig(2)+sz(2);orig(2)+sz(2)/2;orig(2)] end thick=xget('thickness');xset('thickness',2) pat=xget('pattern');xset('pattern',10) xfpoly(x,y,1) xset('thickness',thick) xset('pattern',pat) xstring(orig(1),orig(2)-sz(2)/2,label+' '+string(prt)) xset('thickness',thick) case 'getinputs' then graphics=arg1(2) [orig,sz,orient]=graphics(1:3) if orient then x=orig(1) y=orig(2)+sz(2)/2 else x=orig(1)+sz(1) y=orig(2)+sz(2) end typ=-ones(x) //undefined type case 'getoutputs' then x=[];y=[];typ=[]; case 'getorigin' then [x,y]=standard_origin(arg1) case 'set' then x=arg1; [graphics,model]=arg1(2:3); prt=model(9);label=graphics(4); while %t do [ok,label,prt]=getvalue('Set Clock Output block parameters',.. ['Output name';'Port number'],list('str',1,'vec',1),.. [label;string(prt)]) if ~ok then break,end if prt<=0 then x_message('Port number must be a positive integer') ok=%f end if ok then model(9)=prt graphics(4)=label x(2)=graphics; x(3)=model break end end case 'define' then model=list('output',0,0,1,0,[],[],[],[1],'d',%f,[%f %f]) x=standard_define([1 1],model,'Out') end
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clc,clear printf('Example 3.19\n\n') V=219,I=10 dN=1030 - 970 //given t_1=36 //time with no excitation t_2=9// time with full excitation and armature supporting an extra load of 10 A at 219 V t_3=15 //time with full exciation W_dash = V*I //additioanl loss when armature is suddenly connected to loads W_s= W_dash *(t_2/(t_3-t_2)) //total stray losses N=1000 //speed in rpm //Using W_s = (2*pi/60)^2 * I *N *dN / t_3 where W_s is stray losses I= W_s*(t_3/dN)*(30/%pi)^2/N //moment of inertia W_m=W_s*(t_3/t_1) //mechanical losses iron_losses= W_s - W_m printf('(i)The moment of inertia of armature is %.2f kg-m^2\n',I) printf('(ii)Iron loss= %.2f W\n',iron_losses) printf('(iii)Mechanical losses at 1000 rpm mean speed is %.2f W',W_m) printf('\n\nNoteworthy points:\n(1)When armature is slowing down and there is no excitation,then kinetic energy is used to overcome mechanical losses only.Iron losses are absent as excitation is absent\n(2)When excitation is given, kinetic energy is used to overcome both mechanical as well as iron losses.Total called stray losses.\n(3)If moment of inertia is in kg-m^2,then loss of energy is in watts')
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load Memory.hdl, output-file Memory.out, compare-to Memory.cmp, output-list in%D1.6.1 load%B2.1.2 address%B1.16.1 out%D1.16.1; echo "Before you run this script, select the 'Screen' option from the 'View' menu"; set in -1, // Set RAM[0] = -1 set load 1, set address 0, tick, output; tock, output; set in 9999, // Set RAM[0] = -1 set load 0, set address %B0000000000000000, tick, output; tock, output; set in 9999, // Set RAM[0] = -1 set load 0, set address %B0100000000000000, tick, output; tock, output; set in 2222, // Set RAM[0] = -1 set load 1, set address %B0100000000000000, tick, output; tock, output;
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// Example 6.3;//wavelength spacing and frequency spacing clc; clear; close; Br1=7.21*10^-10;//Bit rate n=10^18;//hole concentration Trg=((Br1*n)^-1)*10^9;//radiative minority carrier lifetime in GaAs in ns Br2=1.79*10^-15;//Bit rate Trs=((Br2*n)^-1)*10^3;//radiative minority carrier lifetime in Si in ms disp(Trg,"radiative minority carrier lifetime in GaAs in ns") disp(Trs,"radiative minority carrier lifetime in Si in ms")
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clear; clc; printf("\t\t\tExample Number 2.9\n\n\n"); // circumferential aluminium fin // illustration2.9 // solution t = 0.001;// [m] thickness of fin L = 0.015;// [m] length of fin Ts = 170;// [degree celsius] surface temperature Tfluid = 25;// [degree celsius] fluid temperature k = 200;// [W/m per degree celsius] heat transfer coefficient of aluminium fin h = 130;// [W/square meter per degree celsius] convectional heat transfer coefficient d = 0.025;// [m] tube diameter Lc = L+t/2;// [m] corrected length r1 = d/2;// [m] radius of tube r2_c = r1+Lc;// [m] corrected radius Am = t*(r2_c-r1);// [square meter] profile area c = r2_c/r1;// constant to determine efficiency of fin from curve c1 = ((Lc)^(1.5))*((h/(k*Am))^(0.5));// constant to determine efficiency of fin from curve // using c and c1 to determine the efficiency of the fin from figure (2-12) // we get nf = 82 percent // heat would be transferred if the entire fin were at the base temperature // both sides of fin exchanging heat q_max = 2*%pi*(r2_c^(2)-r1^(2))*h*(Ts-Tfluid);// [W] maximum heat transfer q_act = 0.82*q_max;//[W] actual heat transfer printf("the actual heat transferred is %f W",q_act);
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question(1, 'item 3-1', 'Welke afstand geeft weer waar een divergerende lichtbundel samenkomt? Het lampje staat 1 centimeter boven de hoofdas.', [ 'Afstand A', 'Afstand B', 'Afstand C', 'weet niet' ], state(state, '', [ m16 = lens(label(''), radius(5), thickness(0.1), focal_distance(6), sfere_left(*), sfere_right(*), breaking_index(1.51), pos_x(11.95), show_gauge(true), instrument_name(lens)), l17 = lamp3(switch(false), angle(0), divergence(5), pos_x(-0.05), pos_y(1), instrument_name(lamp3)), c3 = construction_line(pos_x(17.95), instrument_name(consline)), c4 = construction_line(pos_x(23.9), instrument_name(consline)), c5 = construction_line(pos_x(29.95), instrument_name(consline)), d12 = ruler(from(c3), to(m16), pos_y(6.65), varname('A')), d13 = ruler(from(m16), to(c4), pos_y(5.8), varname('B')), d14 = ruler(from(m16), to(c5), pos_y(4.6), varname('C')), d15 = ruler(from(m16), to(centerline), pos_y(6.2)) ])). question(2, 'item 3-2', 'Op welke afstand van de lens komt de lichtbundel samen als het lampje 3 centimeter onder de hoofdas staat en de middelste lichtstraal in de bundel in een hoek van 30 graden op de lens gericht staat?', [ 'Afstand A', 'Afstand B', 'Afstand C', 'weet niet' ], state(state, '', [ l1 = lamp3(switch(true), angle(25), divergence(5), pos_x(0), pos_y(-3), instrument_name(lamp3)), m1 = lens(label(''), radius(5), thickness(0.1), focal_distance(5), sfere_left(*), sfere_right(*), breaking_index(1.51), pos_x(9.95), show_gauge(true), instrument_name(lens)), d1 = ruler(from(m1), to(centerline), pos_y(6.1)), c1 = construction_line(pos_x(19.95), instrument_name(consline)), c2 = construction_line(pos_x(24.95), instrument_name(consline)), c3 = construction_line(pos_x(29.95), instrument_name(consline)), d2 = ruler(from(c1), to(m1), pos_y(6.75), varname('A')), d5 = ruler(from(m1), to(c2), pos_y(5.8), varname('B')), d6 = ruler(from(m1), to(c3), pos_y(5.35), varname('C')), a2 = protractor(path('l1-beam2'), segment(1), location(2.55)) ])).
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// to calculate useful flux/pole and ares of pole shoe clc; p=1500*1000; //power v=600; I_a=p/v; cu=25*1000; //copper losses R_a=cu/I_a^2; E_a=v+I_a*R_a; n=200; Z=2500; p=16; A=16; phi=E_a*60*A/(p*n*Z); disp(phi,'flux/pole(Wb)'); fd=0.85; //flux density a=phi/fd; disp(a,'area of pole shoe(m*m)');
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clc clear //Initialization of variables P=200 //psia T=600 //F m=1 //lb //calculations disp("From mollier chart,") hx=1322 //Btu/lb sx=1.676 //Btu/lb F //results printf("Enthalpy = %d Btu/lb",hx) printf("\n entropy = %.3f Btu/lb F",sx)
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// Caption: Finding internal starting torque clear; close; clc; P_r=380-3*5.7^2*0.262; //from test 1 Z_nl=219/(sqrt(3)*5.7);//phase Y R_nl=380/(3*5.7^2); //from test 2 Z_bl=26.5/(sqrt(3)*18.57);//phase at 15 hz R_bl=675/(3*18.75^2)// //internal starting torque P_g=20100-3*83.3^2*0.262;//air gap power T_start=P_g/188.5;//starting torque in N-m
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// Grob's Basic Electronics 11e // Chapter No. 27 // Example No. 27_10 clc; clear; // Calculate the maximum rated zener current for a 1 W, 10 V zener. // Given data Pzm = 1; // Power rating of zener= 1 Watts Vz = 10; // Voltage rating of zener= 10 Volts Izm = Pzm/Vz; disp (Izm,'The Maximum Rated Current of Zener in Amps') disp ('i.e 100 mAmps')
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clc clear //INPUT DATA x=23//atomic weight of sodium y=35.45//atomic weight of chloide AW=58.45//atomic weight of sodium chloride(NaCl) n=4//no.of atoms in FCC structure d=2.18*10^6//density of NaCl crystal of FCC structure in kg/m^3 N=6.023*10^23//Avogadro's Number per Kg mol //CALCULATION a=(((n*AW)/(d*N))^(1/3))/10^-10//The lattice constant in m r=(a/2)//The distance between two adjacent atoms in m *10^-10 //OUTPUT printf('The distance between two adjacent atoms is %3.2f*10^-10 m',r)
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function []=chart(attenu,angl,flags) // Copyright INRIA titre='amplitude and phase contours of y/(1+y)' l10=log(10); ratio=%pi/180; // [lhs,rhs]=argn(0) select rhs case 3 then case 2 then, if type(angl)==15 then flags=angl angl=-[1:10,20:10:160]*ratio; else angl=-angl*ratio flags=[] end case 1 then if type(attenu)==15 then flags=attenu attenu=[-12 -8 -6 -5 -4 -3 -2 -1.4 -1 -.5 ,.. 0.25 0.5 0.7 1 1.4 2 2.3 3 4 5 6 8 12]; else flags=list() end angl=-[1:10,20:10:160]*ratio; else flags=list() attenu=[-12 -8 -6 -5 -4 -3 -2 -1.4 -1 -.5 ,.. 0.25 0.5 0.7 1 1.4 2 2.3 3 4 5 6 8 12]; angl=-[1:10,20:10:160]*ratio end // select size(flags) case 0 then flags=list(0,-1,1,2) case 1 then flags=list(flags(1),-1,1, 2) case 2 then flags=list(flags(1),flags(2), 1, 2) case 3 then flags(4)=2 end // rect=[-360,-50,0,40]; strf='011' if flags(1) then strf='000',end // plot2d(0,0,flags(3),strf," ",rect,[2,6,3,9]); if flags(2) then xtitle(titre,'phase(y) - degree','magnitude(y) - db'),end llrect=xstringl(0,0,'1') //contours de gain constant lambda=exp(l10*attenu/20) rayon=lambda./(lambda.*lambda-ones(lambda)) centre=-lambda.*rayon // for i = 1:prod(size(attenu)), if attenu(i)<0 then w=%eps:0.03:%pi; else w=-%pi:0.03:0; end; n=prod(size(w)) rf=centre(i)*ones(w)+rayon(i)*exp(%i*w); phi=atan(imag(rf),real(rf))/ratio; module=20*log(abs(rf))/l10; plot2d([-360*ones(phi)-phi(n:-1:1) phi]',... [module(n:-1:1) module]',[flags(3),flags(4)],"000"," ",rect); att=attenu(i); if att<0 then xstring(phi(n)+llrect(3),module(n),string(att),0,0); else xstring(phi(1),module(1)+llrect(4)/4,string(att),0,0); end end; // //phase eps=100*%eps; for teta=angl, if teta < -%pi/2 then last=teta-eps, else last=teta+eps, end; w=[-170*ratio:0.03:last last]' n=prod(size(w)); module=real(20*log((sin(w)*cos(teta)/sin(teta)-cos(w)))/l10) w=w/ratio plot2d([w,-360*ones(w)-w(n:-1:1)],[module,module(n:-1:1)],[flags(4),flags(4)],"000"); end;
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// A Texbook on POWER SYSTEM ENGINEERING // A.Chakrabarti, M.L.Soni, P.V.Gupta, U.S.Bhatnagar // DHANPAT RAI & Co. // SECOND EDITION // PART II : TRANSMISSION AND DISTRIBUTION // CHAPTER 13: WAVE PROPAGATION ON TRANSMISSION LINES // EXAMPLE : 13.4 : // Page number 366 clear ; clc ; close ; // Clear the work space and console // Given data R_1 = 60.0 // Surge impedance of underground cable(ohm) R_2 = 400.0 // Surge impedance of overhead line(ohm) e = 100.0 // Maximum value of surge(kV) // Calculations i = e*1000/R_1 // Current(A) k = (R_2-R_1)/(R_2+R_1) e_ref = k*e // Reflected voltage(kV) e_trans = e+e_ref // Transmitted voltage(kV) e_trans_alt = (1+k)*e // Transmitted voltage(kV). Alternative method i_ref = -k*i // Reflected current(A) i_trans = e_trans*1000/R_2 // Transmitted current(A) i_trans_alt = (1-k)*i // Transmitted current(A). Alternative method // Results disp("PART II - EXAMPLE : 13.4 : SOLUTION :-") printf("\nReflected voltage at the junction = %.f kV", e_ref) printf("\nTransmitted voltage at the junction = %.f kV", e_trans) printf("\nReflected current at the junction = %.f A", i_ref) printf("\nTransmitted current at the junction = %.f A\n", i_trans) printf("\nNOTE: ERROR: Calculation mistake in textbook in finding Reflected current")
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//ch-9 page 307 pb-4 // // l1=75.5,l2=80.25,l3=75, t1=30.25,t2=40.5,t3=60.5, L1=l1*cos(t1*(%pi/180)) L2=-l2*cos(t2*(%pi/180)) L3=-l3*cos(t3*(%pi/180)) printf("\n latitudes of AQ,QR,RB are %0.3f %0.3f %0.3f",L1,L2,L3) D1=l1*sin(t1*(%pi/180)) D2=l2*sin(t2*(%pi/180)) D3=-l3*sin(t3*(%pi/180)) printf("\n Depature of AQ,QR,RB are %0.3f %0.3f %0.3f",D1,D2,D3) L4=-(L1+L2+L3) D4=-(D1+D2+D3) l4=sqrt(L4*L4+(D4*D4)) printf("\n length of AB= %0.3f meters',l4)
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//Example 23.9 L=7.5*10^-3;//Inductance (H) R=3;//Resistance (ohm) tau=L/R;//Time constant (s) printf('a.Time constant tau = %0.2f ms',tau*1000) I_0=10;//Initial current (A) I=0.368*I_0;//Current decreases to 0.368 times the initial value in tau seconds (A) t=tau;//Time (s) while t<5*10^-3 I=0.368*I;//Current (A) t=t+tau;//Time (s) end// To find decline in current with time printf('\nb.Current = %0.2f A',I) //Here we used two iterations as we know 5ms is twice the characteristic time tau. I=I_0*exp(-t/tau) can also be used to find the current at 5ms. //Openstax - College Physics //Download for free at http://cnx.org/content/col11406/latest
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// Exa 8.13.1 clc; clear; close; // Given data R= 10;// in kΩ R= R*10^3;// in Ω // Part (i) V=300;// in V I_A= V/R;// in A disp("Part (i) : For 300 V voltage : ") disp(I_A*10^3,"The anode current in mA is : "); // Part (ii) V=100;// in V I_A= V/R;// in A disp("Part (ii) : For 100 V voltage : ") disp(I_A*10^3,"The anode current in mA is : ");
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errcatch(-1,"stop");mode(2);//Exam:18.2 ; ; E_f=69;//modulus of elasticity in GPa V_f=40/100;//Volume of glass fibres % E_m=3.4;//modulus (in GPa) V_m=60/100;//Volume of polyester resin % E_cl=E_m*E_f/(E_m*V_f+E_f*V_m);//modulus of elasticity when the stress is applied perpendicular to the direction of the fibre alignment(in Gpa) disp(E_cl,'modulus of elasticity when the stress is applied perpendicular to the direction of the fibre alignment(in Gpa)='); exit();
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errcatch(-1,"stop");mode(2);//Ex:3.2 ; ; E1=6; E2=3; V2=E1-E2; V1=4.5; E3=V1-E2; printf("Value of V2 = %f A",V2); printf("\n Value of E3 = %f A",E3); exit();
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n = 20; tempos(8) = 0; //1. Fibonacci (use n>=20) function [s]=fib(y) s1=1; s2=1; s=zeros(1,y); s(1)=s1; s(2)=s2; for i=3:y s(i)=s(i-1)+s(i-2) ; end endfunction tic(); fib(n); tempo = toc(); disp("Fibonacci: "); disp(tempo); tempos(1) = tempo; t = 1000; //2. Parse Int (use t>=1000) function n = parseintperf(t) for i = 1:t s = dec2hex(i); //Converte decimal para hexadecimal m = hex2dec(s); //Converte hexadecimal para decimal end end tic(); parseintperf(t); tempo = toc(); disp("Parse Int: "); disp(tempo); tempos(2) = tempo; function a = qsort_kernel(a, lo, hi) //Funo agregada do quicksort i = lo; j = hi; while i < hi pivot = a(floor((lo+hi)/2)); //floor significa funcao piso while i <= j while a(i) < pivot, i = i + 1; end while a(j) > pivot, j = j - 1; end if i <= j t = a(i); a(i) = a(j); a(j) = t; i = i + 1; j = j - 1; end end if lo < j; a=qsort_kernel(a, lo, j); end lo = i; j = hi; end end //3. Quicksort (use n>=5000) function b = qsort(a) //Funo agregada do quicksort b = qsort_kernel(a, 1, length(a)); end tic(); qsort(rand(1, 5000)); tempo = toc(); disp("Quicksort: "); disp(tempo); tempos(3) = tempo; function v = sortperf(n) //Funo principal de chamada do quicksort v = rand(n,1); //Gera uma matriz nx1 de numeros aleatrios entre 0 e 1 v = qsort(v); end z = 100; //4. Mandelbrot function n = mandel(z) //Funo agregada do mandelperf n = 0; c = z; for n=0:79 if abs(z)>2 //Se z=a+bi ento abs(z)=sqrt(a^2+b^2) return end z = z^2+c; end n = 80; end tic(); mandelperf(z); tempo = toc(); disp("Mandelbrot: "); disp(tempo); tempos(4) = tempo; function M = mandelperf(ignore) //Funo principal M = zeros(length(-2.0:.1:0.5), length(-1:.1:1)); count = 1; for r = -2:0.1:0.5 for i = -1:.1:1 M(count) = mandel(complex(r,i)); //complex(a,b)=a+bi count = count + 1; end end end ignore = 1000; //5. Gerao de \pi function sum = pisum(ignore) //Forma no vetorizada sum = 0.0; for j=1:500 sum = 0.0; for k=1:10000 sum = sum + 1.0/(k*k); end end end tic(); pisum(ignore); tempo = toc(); disp("Soma PI: "); disp(tempo); tempos(5) = tempo; function s = pisumvec(ignore) //Forma vetorizada a = [1:10000] for j=1:500 s = sum( 1./(a.^2)); end end t = 1000; //6. Estatstica em matriz aleatria (use t>=1000) function randmatstat(t) n = 5; v = zeros(t); //Gera uma matriz txt de zeros w = zeros(t); for i = 1:t a = rand(n,n); //Matriz nxn de n aleatrios com distribuio normal b = rand(n,n); c = rand(n,n); d = rand(n,n); P = [a b c d]; Q = [a b; c d]; v(i) = trace((P'*P)^4); //trace=Trao de matriz e P'=transposta de A w(i) = trace((Q'*Q)^4); end stdev(v)/mean(v); //desvio e mdia so calculados por coluna da matriz. stdev(w)/mean(w); end tic(); randmatstat(t); tempo = toc(); disp("Estatstica em matriz aleatoria: "); disp(tempo); tempos(6) = tempo; //7. Relao sucessiva // Faa um teste para A=[4 -2 1 3 0;-1 10 0 8 1;-1 1 15 2 4;0 1 10 5 1; 2 -3 1 2 20]; b=[15;56;74;57;107];w=1.6;Toler=1e-5;IterMax=500; function [Iter,x,NormaRel]=SOR(A,b,w,Toler,IterMax) n=size(A,2); for i=1:n r=1/A(i,i); for j=1:n if (i~=j), A(i,j)=A(i,j)*r; end end b(i)=b(i)*r; x(i)=b(i); end Iter=0; NormaRel=1000; while (NormaRel > Toler && Iter < IterMax) Iter=Iter+1; for i=1:n soma=0; for j=1:n if (i~=j), soma=soma+A(i,j)*x(j); end end v(i)=x(i); x(i)=w*(b(i)-soma)+(1-w)*x(i); end NormaNum=0; NormaDen=0; for i=1:n t=abs(x(i)-v(i)); if (t>NormaNum), NormaNum=t; end if abs(x(i))>NormaDen, NormaDen=abs(x(i)); end end NormaRel=NormaNum/NormaDen; //Iter,x,NormaRel; end if NormaRel <= Toler CondErro =0; else CondErro=1; end end tic(); [Iter,x,NormaRel]=SOR(A,b,w,Toler,IterMax) ; tempo = toc(); disp("Relacao sucessiva: "); disp(tempo); tempos(7) = tempo; //8. Mtodo de Newton //Faa um teste com x0=4;Toler=1.0000e-05;IterMax=100; function [f]=f(x) f=x^4+2*x^3-13*x^2-14*x+24; end // function [f]=df(x) f=4*x^3+6*x^2-26*x-14; end function [Raiz,Iter,CondErro]=Newton(x0,Toler,IterMax) //Saida: Raiz a raiz da funcao; // Iter a quantidade de itearacoes feitas; // CondErro=0 se a raiz foi encontrada e // CondErro=1 se nao for encontrada Fx=f(x0); DFx=df(x0);x=x0;Iter=0; //f=funo e df=derivada de f DeltaX=1000; DF=1; while ( (abs(DeltaX)>Toler || abs(Fx)>Toler) && (DF~=0) && (Iter <IterMax) ) DeltaX=-Fx/DFx;x=x+DeltaX;Fx=f(x);DFx=df(x);Iter=Iter+1; end Raiz=x; if abs(DeltaX)<=Toler && abs(Fx)<=Toler CondErro=0; else CondErro=1; end end tic(); [Raiz,Iter,CondErro]=Newton(x0,Toler,IterMax) ; tempo = toc(); disp("Newton: "); disp(tempo); tempos(8) = tempo; disp(tempos);
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clc //calc pressure diff at the mouth of the fire place g=32.2;//ft/s^2 h=20;//ft (height of fireplace) rho_air=0.075;//lbm/ft^3 T_air=293;//K (surrounding temperature) T_fluegas=422;//K p_diff=g*h*(rho_air)*[1-(T_air/T_fluegas)]/32.2/144;//lbf/in^2 disp("The pressure difference is") disp(p_diff) disp("lbf/in^2")
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//Problem 24.12: For the circuit shown in Figure 24.17, determine the values of voltages V1 and V2 if the supply frequency is 4 kHz. Determine also the value of the supply voltage V and the circuit phase angle. Draw the phasor diagram. //initializing the variables: C = 2.653E-6; // in Farads R1 = 8; // in ohms R2 = 5; // in ohms L = 0.477E-3; // in Henry f = 4000; // in Hz ri = 6; // in Amperes thetai = 0; // in degrees //calculation: I = ri*cos(thetai*%pi/180) + %i*ri*sin(thetai*%pi/180) //Capacitive reactance, Xc Xc = 1/(2*%pi*f*C) //impedance Z1 Z1 = R1 - %i*Xc //inductive reactance XL XL = 2*%pi*f*L //impedance Z2, Z2 = R2 + %i*XL //voltage V1 V1 = I*Z1 //voltage V2 V2 = I*Z2 //Supply voltage, V V = V1 + V2 phiv = atan(imag(V)/real(V))*180/%pi phi = phiv - thetai printf("\n\n Result \n\n") printf("\n supply voltage is %.2f + (%.2f)i V\n",real(V), imag(V)) printf("and Circuit phase angle is %.2f° \n",phi)
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// Pole placement controller for magnetically suspended ball problem, discussed in Example 9.3 on page 331. // 9.1 exec('myc2d.sci',-1); exec('desired.sci',-1); exec('zpowk.sci',-1); exec('polsplit2.sci',-1); exec('polsize.sci',-1); exec('t1calc.sci',-1); exec('indep.sci',-1); exec('move_sci.sci',-1); exec('colsplit.sci',-1); exec('clcoef.sci',-1); exec('cindep.sci',-1); exec('polmul.sci',-1); exec('seshft.sci',-1); exec('makezero.sci',-1); exec('xdync.sci',-1); exec('left_prm.sci',-1); exec('rowjoin.sci',-1); exec('pp_basic.sci',-1); exec('polyno.sci',-1); exec('cosfil_ip.sci',-1); // Magnetically suspended ball problem // Operating conditions M = 0.05; L = 0.01; R = 1; K = 0.0001; g = 9.81; //Equilibrium conditions hs = 0.01; is = sqrt(M*g*hs/K); // State space matrices a21 = K*is^2/M/hs^2; a23 = - 2*K*is/M/hs; a33 = - R/L; b3 = 1/L; a1 = [0 1 0; a21 0 a23; 0 0 a33]; b1 = [0; 0; b3]; c1 = [1 0 0]; d1 = 0; // Transfer functions G = syslin('c',a1,b1,c1,d1); Ts = 0.01; [B,A,k] = myc2d(G,Ts); //polynomials are returned [Ds,num,den] = ss2tf(G); num = clean(num); den = clean(den); // Transient specifications rise = 0.15; epsilon = 0.05; phi = desired(Ts,rise,epsilon); // Controller design [Rc,Sc,Tc,gamm] = pp_basic(B,A,k,phi); // Setting up simulation parameters for basic.xcos st = 0.0001; // desired change in h, in m. t_init = 0; // simulation start time t_final = 0.5; // simulation end time // Setting up simulation parameters for c_ss_cl.xcos N_var = 0; xInitial = [0 0 0]; N = 1; C = 0; D = 1; [Tc1,Rc1] = cosfil_ip(Tc,Rc); // Tc/Rc [Sc2,Rc2] = cosfil_ip(Sc,Rc); // Sc/Rc [Tcp1,Tcp2] = cosfil_ip(Tc,1); // Tc/1 [Np,Rcp] = cosfil_ip(N,Rc); // 1/Rc [Scp1,Scp2] = cosfil_ip(Sc,1); // Sc/1 [Cp,Dp] = cosfil_ip(C,D); // C/D
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//Ex:8.8 clc; clear; close; Eg=1.43;// bandgap energy in eV dy=0.15*10^-9; c=3*10^8;// speed of light in m/s y=1.24/Eg;// in um y1=y*10^-6;// wavelength of optical emission in m df=(c*dy)/(y1^2);// the line width in Hz Df=df/10^9;// the line width in GHz printf("The wavelength of optical emission =%f um", y); printf("\n The frequency separation of the modes =%d GHz", Df);
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function x=g_det(a) // only to be called by function det //! a1=a(1); select type(a) case 2 then x=determ(a) //-compat next case retained for list/tlist compatibility case 15 then if a1(1)=='r' then x=detr(a); else error(43) end case 16 then if a1(1)=='r' then x=detr(a); else error(43) end else error(43) end
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clear; clc; close; disp("Example 3.1") M0=0.85 //Mach no. a0=300 //speed of sound in m/s m=50 //Air mass flow rate in kg/s //Calculations V0=M0*a0 //Flight speed Dr=m*V0 //Ram drag Dk=Dr/1000 //in kN disp(Dk,"The ram drag for given engine in kN:")
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Largest Eigen value for any 3x3 matrix.sce
disp('Enter the coefficient matrix'); a11=input("Enter value for a11: "); a12=input("Enter value for a12: "); a13=input("Enter value for a13: "); a21=input("Enter value for a21: "); a22=input("Enter value for a22: "); a23=input("Enter value for a23: "); a31=input("Enter value for a31: "); a32=input("Enter value for a32: "); a33=input("Enter value for a33: "); A=[a11,a12,a13;a21,a22,a23;a31,a32,a33]; disp(A,'The given matrix is:'); //Initial vector u0=[1 1 1]'; disp(u0,'The initial vector is:'); v=A*u0; a=max(u0); disp(a,'First approximation to eigen value is:'); while abs(max(v)-a)>0.002 disp(v,"Current eigen vector is:"); a=max(v); disp(a,"Current eigen value is:"); u0=v/max(v); v=A*u0; end format('v',4); disp(max(v),"The largext Eigen Value is:"); format('v',5); disp(u0,'The corresponding Eigen vector is:');
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function xout=jacobi(A,b) [l,c]=size(A); D=diag(diag(A)); L=-1*(D-tril(A)); U=-1*(D-triu(A)); invD=diag(diag(1/D)); x=zeros(l,1); oldx=x; M=D N=-(L+U) MN=-inv(D)*(L+U) for i=1:1000 if (max(abs(x-oldx))<0.001) then xout=x; else oldx=x; x=inv(D)*b-inv(D)*(L+U)*x; end end M=D N=-(L+U) MN=-inv(D)*(L+U) disp("M:\n") disp(M) disp("N:\n") disp(N) disp("M^-1N:\n") disp(MN) endfunction //M=D.N=-(L+U).M^-1*N=-D^-1(L+U)
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${ // $Classes/Enums/Interfaces(filter)[template][separator] // filter (optional): Matches the name or full name of the current item. * = match any, wrap in [] to match attributes or prefix with : to match interfaces or base classes. // template: The template to repeat for each matched item // separator (optional): A separator template that is placed between all templates e.g. $Properties[public $name: $Type][, ] // More info: http://frhagn.github.io/Typewriter/ // Enable extension methods by adding using Typewriter.Extensions.* using Typewriter.Extensions.Types; using System.Diagnostics; // Uncomment the constructor to change template settings. Template(Settings settings) { settings.OutputFilenameFactory = (file) => $"{file.Name.Replace("Model.cs", ".model.ts")}"; } string ModellessName(Class c) { return c.Name.Replace("Model", ""); } string ModellessName(Property p) { return p.Type.Name.Replace("Model", ""); } string Imports(Class c) { var names = c.Properties.Where(x => !GetChildType(x.Type).Namespace.Contains("System")).Select(x => $"import {{ {x.Type.Name.Replace("Model", "").Replace("[]", "")} }} from 'src/app/shared/models/{x.Type.Name.Replace("Model", "").Replace("[]", "")}.model'").Distinct(); return string.Join(Environment.NewLine, names); } Type GetChildType(Type t) { if(t.TypeArguments != null && t.TypeArguments.Count > 0) return GetChildType(t.TypeArguments.First()); else return t; } string RemoveModel(string s) { return s.Replace("Model", ""); } }$Classes(*Model)[$Imports export class $ModellessName { $Properties[ public $name: $ModellessName = $Type[$Default];] }]
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// Ex4_35 clc; // Given: t1=2.7;// h t2=3.6;// h // Solution: k1=0.693/t1; k2=.693/t2; tmax=(log(k2/k1))/(k2-k1); printf("The time when daughter activity reaches maximum is %f and this is same when activities of both are equal.",tmax)
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// 10.04.16 // 10.04.18 // 10.05.03 function Texif(varargin) Condstr=varargin(1); Tp=0; if length(varargin)>1 Tp=varargin(2); end; Texcom(''); Texcom('{'); if Tp==0 Texcom('\ifnum '); else Texcom('\ifdim '); end; Texcom(Condstr+' '); endfunction;
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// DFE Test clear; getf("DFEFunction.sci"); // Include DFE function getf("HSPiceUtilities.sci"); // Include HSpice utilities ///////////////////////////////////////////////////////////////////////////////////////////// //////////////////////////////////////Main Routine//////////////////////////////////// waveformstr=emptystr(); // Waveform to be analyzed ftrdata = emptystr(); // Filename(s) of the pulse response *.tr* file(s) fcnvpar = emptystr(); // Converter instructions file cmdlinestr=emptystr(); // HSpice converter command line string. olddir=emptystr(); // Original directory path t = []; // Time points vector from tr* file D = []; // Waveform vector from tr* file coeffs_in=[0.25 -0.25 64 1;... // DFE coefficients specification 0.2 -0.2 64 1;... 0.1 -0.1 64 1]; opt_coeffs_out=[]; // Optimized coefficients values Dfe_alg_type=2; // Dfe algorithm type prerr=0; // Pulse response error /////////////////// // Get Scilab Version /////////////////// version_str=getversion(); version_str=tokens(version_str,'-'); version_str=tokens(version_str(2),'.'); version(1)=msscanf(version_str(1), '%d'); version(2)=msscanf(version_str(2), '%d'); /////////////////// // Setup files/directories /////////////////// if (version(1)==5) & (version(2) >= 1) then // tr* file(s) ftrdata=uigetfile("*.tr*", "", "Please choose pulse response *.tr* file(s)", %f); else ftrdata=tk_getfile("*.tr*", "", Title="Please choose pulse response *.tr* file(s)", multip="0"); end if ftrdata==emptystr() then if (version(1)==5) & (version(2) >= 1) then messagebox("Invalid file selection. Script aborted", "","error","Abort"); else buttondialog("Invalid file selection. Script aborted", "Abort"); end abort; end /////////////////// // Waveform Info /////////////////// dialogstr=x_mdialog(['Enter waveform parameters:'], ['Waveform Name'],['V(rxbump_p, rxbump_n)']); if length(dialogstr)==0 then if (version(1)==5) & (version(2) >= 1) then messagebox("Invalid parameters selection. Script aborted", "","error","Abort"); else buttondialog("Invalid parameters selection. Script aborted", "Abort"); end chdir(olddir); abort; end waveformstr=strcat(tokens(dialogstr(1), " ")); // Strip spaces in the waveform string /////////////////// // Run file conversion /////////////////// //Set new directory name for Hspice conversion olddir=getcwd(); chdir(fileparts(ftrdata, "path")); //Create conversion command line cmdlinestr="converter -t PWL -i " + strcat([fileparts(ftrdata, "fname"), fileparts(ftrdata, "extension")]) + " -o " + strcat([fileparts(ftrdata, "fname"), ".dat"]) + " < cnvparams.txt"; //Create converter input file fcnvpar=strcat([fileparts(ftrdata, "path"), "cnvparams.txt"]); // Set instructions file. [fhandle,err]=mopen(fcnvpar, "w"); if err<0 then chdir(olddir); error("Pulse Convolver: Unable to create conversion instructions file"); abort; end mfprintf(fhandle,"1\n%s\n\n%s\n\n\n",waveformstr,waveformstr); mclose(fhandle); //run converter if unix(cmdlinestr) ~= 0 then // Run simulation if (version(1)==5) & (version(2) >= 1) then // Source file messagebox("Pulse Convolver: Conversion Failed. Script aborted", "","error","Abort"); else buttondialog("Pulse Convolver: Conversion Failed. Script aborted", "Abort"); end chdir(olddir); abort; end fwvfrm = strcat([fileparts(ftrdata, "fname"), ".dat0"]); //Extract frequency response from file [t, D]=extract_from_PWL(fwvfrm); //Revert to original directory chdir(olddir); /////////////////// // Run DFE /////////////////// xinit(); plot2d(t, D, style=2); xtitle("Pulse Response before DFE", "Time", "Voltage"); [t, D, opt_coeffs_out, prerr]= DFE_pr(t, D, coeffs_in, 125e-12, Dfe_alg_type); /////////////////// // Create PWL /////////////////// [fhandle, err]=mopen("impulse.inc", 'w'); mfprintf(fhandle, ".SUBCKT impulse_src Out Gnd_Src\n"); mfprintf(fhandle, "Vsrc Out Gnd_Src PWL (\n"); for i=1:length(t), mfprintf(fhandle, "+ %0.6e %0.16e\n", t(i),D(i)); end mfprintf(fhandle, ")\n"); mfprintf(fhandle, ".ENDS\n"); mclose(fhandle); /////////////////// // Post REsults /////////////////// xinit(); plot2d(t, D, style=2); xtitle("Pulse Response after DFE", "Time", "Voltage"); //Post values of optimized coefficients for i=1:length(opt_coeffs_out) printf("\n*Optimized value for coefficient %d= %0.2f", i, opt_coeffs_out(i)); end printf("\n*Pulse response residual error = %0.6f\n", prerr);
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//chapter8,Example8_4,pg 182 i=45*(%pi/180) u=1.33 r=asin(sin(i)/u) r=r*(180/%pi) //for bright fringe 2*u*t*cos(r)=(2*n+1)(lam/2) //for minimum thickness n=0 lam=5000*10^-8 t=lam/(4*u*cos(r)) printf("min. thickness of film\n") disp(t)
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clc //initialisation of variables T2=300///k T1=900//k T3=600//k Q2=15000//k.cal Q1=12000//k.cal //CALCULATIONS na=1-(T2/T1) nb=1-(T2/T3) w1=Q1*na w2=Q2*nb //results printf(' \n w1= % 1f kcal',w1) printf(' \n w2= % 1f kcal',w2)
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hemisphere.sce
a =linspace(180,360,100); th=linspace(-90,90,50); R =5; [A,Th]=meshgrid(a,th); Z = R*sind(Th); X = R*cosd(Th).*cosd(A); Y = R*cosd(Th).*sind(A); //clf surf(Z,X,Y)
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mfile2sci.sci
function mfile2sci(fil,res_path,Imode,Recmode) // preforms translation of a single m-file // Copyright INRIA // default arguments [lhs,rhs]=argn(0) if rhs<4 then Recmode=%f,end if rhs<3 then Imode=%f,end if rhs<2 then res_path='./',end if part(res_path,length(res_path))<>'/' then res_path=res_path+'/',end // get context if exists('m2scilib')==0 then load('SCI/macros/m2sci/lib'),end global('m2sci_infos') [l,mac]=where() Reclevel=size(find(mac=='mfile2sci'),'*') if Reclevel==1 then nametbl=[] else m2sci_infos_save=m2sci_infos end m2sci_infos=[%f %f] if exists('logfile')==0 then logfile=%io(2) // logical unit of the logfile end // output "begin of translation" message mss='------------'+part(' ',ones(1,3*Reclevel))+'begin of translation of '+fil+' -----------' write(logfile,mss) if logfile<>%io(2) then write(%io(2),mss) end res=[] // handle file path k=strindex(fil,'.') if k<>[] ke=k($)-1 basename=part(fil,1:ke) else ke=length(fil) basename=fil end k=strindex(fil,'/') if k==[] then file_path='./' else file_path=part(fil,1:k($)) end if exists('Paths')==0 then Paths=file_path, if MSDOS then mfiles=unix_g('dir /b '+Paths+'*.m') sep='\' else mfiles=unix_g('ls '+Paths+'*.m') sep='/' end end fnam=part(basename,k($)+1:ke) // name of the file witout extension // read in the file as text txt=readmfile(fil) txt=strsubst(txt,code2str(-40),' ') if txt==[] then write(logfile,'Empty file! nothing done'), return, end // make minor changes on syntax [helppart,txt]=m2sci_syntax(txt) // write .cat file and update whatis if helppart<>[] then catfil=res_path+fnam+'.cat' whsfil=res_path+'whatis' u=file('open',catfil,'unknown') write(u,helppart,'(a)') file('close',u) if exists('whsfil_unit')==1 then write(whsfil_unit,stripblanks(helppart(1))+' |'+fnam,'(a)') end end if txt==[] then return,end killed=[]; quote=''''; dquote=""""; batch=%f kc=strindex(txt(1),'function');kc=kc(1); // define scilab function deff(part(txt(1),kc+8:length(txt(1))),txt(2:$),'n') w=who('get');mname=w(1);nametbl=[nametbl;mname] if fnam<>mname then mss=['Warning: file '+fil+' defines function '+mname+' instead of '+fnam; ' '+mname+'.sci, '+mname+'.cat and sci_'+mname+'.sci will be generated'] if logfile<>%io(2) then write(%io(2),mss,'(a)');end if logfile>0 then write(logfile,mss,'(a)'),end end //prot=funcprot();funcprot(0); execstr('comp('+mname+',1)') // get its pseudo code code=macr2lst(evstr(mname)) //funcprot(prot) // perform the translation [res,trad]=m2sci(code,w(1),Imode,Recmode) //strip last return and blank lines n=size(res,1) while res(n)==part(' ',1:length(res(n))) then n=n-1,end res=res(1:n-1) ext='.sci' // write sci-file scifil=res_path+fnam+ext u=file('open',scifil,'unknown') write(u,res,'(a)') file('close',u) // write sci_* translation file if trad<>[] then sci_fil=res_path+'sci_'+mname+'.sci' u=file('open',sci_fil,'unknown') write(u,trad,'(a)') file('close',u) end // output summary information infos=[] if m2sci_infos(1)&~m2sci_infos(2) then infos='Translation may be improved (see the //! comments)' elseif m2sci_infos(1)&m2sci_infos(2) then infos='Translation may be wrong (see the //!! comments) or improved see the (//! comments)' elseif ~m2sci_infos(1)&m2sci_infos(2) then infos='Translation may be wrong (see the //!! comments)' end mss='------------'+part(' ',ones(1,3*Reclevel))+'end of translation of '+fil+' -----------' write(logfile,[infos;mss]) if logfile<>%io(2) then write(%io(2),[infos;mss]) end if Reclevel>1 then m2sci_infos=m2sci_infos_save end nametbl($)=[] nametbl=resume(nametbl)
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clear// //Variables R = 750.0 //Resistance (in ohm) I = 32.0 //Current (in milliAmpere) //Calculation P = I**2 * 10**-6 * R //Power (in watt) //Result printf("\n Power consumed by relay coil is %0.3f mW.",P*1000)
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function [I] = simpson38(x,f) //This function calculates the numerical integration of f(x)dx //between limits x(1) and x(n) using Simpson's 3/8 rule //Check that x and f have the same size (which must be of the form 3*i+1, //where i is an integer number) //Also, the values of x must be equally spaced with spacing h y=feval(x,f); [nrx,ncx]=size(x) [nrf,ncf]=size(y) if ((nrx<>1)|(nrf<>1)) then error('x or f, or both, not column vector(s)'); abort; end; if ((ncx<>ncf)) then error('x and f are not of the same length'); abort; end; //check that the size of the lists xL and f is odd if (modulo(ncx-1,3)<>0) then disp(ncx,"list size =") error('list size must be of the form 3*i+1, where i=integer'); abort end; n = ncx; xdiff = mtlb_diff(x); h = xdiff(1,1); I = f(x(1)) + f(x(n)); for j = 2:n-1 if(modulo(j-1,3)==0) then I = I + 2*f(x(j)); else I = I + 3*f(x(j)); end; end; I = (3.0/8.0)*h*I endfunction
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//fonction carre function d = carre(x) d = x .* x endfunction
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Ex8_18.sce
//power gain of square horn antenna //given clc lemda=1//as value of lemda do not affect the expression for(lemda!=0) d=10*lemda // dimentions W=10*lemda//dimentions gp=4.5*W*d/lemda^2//power gain gp_decibles=10*log10(gp)//changing to decibles end gp_decibles=round(gp_decibles*1000)/1000///rounding off decimals disp(gp_decibles,'the power gain in decibles')//decibles
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FOSSEE/Scilab-TBC-Uploads
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Ex6_10.sce
//Ex6_10 clc ic = 2.5*10^-3 ib = 50*10^-6 disp("ib = "+string(ib)+"A")//base current disp("ic = "+string(ic)+"A")//collector current beta = ic/ib disp("beta = ic/ib = "+string(beta))//current gain
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FOSSEE/Scilab-TBC-Uploads
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Example9_2.sce
// A Texbook on POWER SYSTEM ENGINEERING // A.Chakrabarti, M.L.Soni, P.V.Gupta, U.S.Bhatnagar // DHANPAT RAI & Co. // SECOND EDITION // PART II : TRANSMISSION AND DISTRIBUTION // CHAPTER 2: CONSTANTS OF OVERHEAD TRANSMISSION LINES // EXAMPLE : 2.2 : // Page number 101 clear ; clc ; close ; // Clear the work space and console // Given data l = 100.0 // Length of 3-phase transmission line(km) D = 120.0 // Distance between conductors(cm) d = 0.5 // Diameter of conductor(cm) // Calculations r_GMR = 0.7788*d/2.0 // GMR of conductor(cm) L = 2.0*10**-4*log(D/r_GMR) // Inductance per phase(H/km) L_l = L*l // Inductance per phase for 100km length(H) // Results disp("PART II - EXAMPLE : 2.2 : SOLUTION :-") printf("\nInductance per phase of the system, L = %.4f H \n", L_l) printf("\nNOTE: ERROR: In textbook to calculate L, log10 is used instead of ln i.e natural logarithm. So, there is change in answer")
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FOSSEE/Scilab-TBC-Uploads
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5_5.sce
clc //Initialization of variables cp=0.25 T1=3460 //R T2=520 //R //calculations Q=cp*(T2-T1) ds=cp*log(T2/T1) G= Q - T2*ds eta= G/Q //results printf("Thermal efficiency = %.1f percent",eta*100)
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SoumitraAgarwal/Scilab-gsoc
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RunDemos.sce
getd('../macros') scripts = listfiles('../demos') numfiles = size(scripts) for i = 1:numfiles(1) script = scripts(i); disp('Running ' + string(i) + ' of ' + string(numfiles(1)) + ' : ' + script) if(strcmp('Datasets', script) ~= 0) exec('../demos/' + script, -1) end disp('Complete') end
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clg55/Scilab-Workbench
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g_ntype.sci
function n=g_ntype(g) [lhs,rhs]=argn(0), if rhs=0 then g=the_g, end n=g(15)
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appucrossroads/Scilab-TBC-Uploads
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ex5_20.sce
clc; P=10^8; //power in Watt t=60*60*24; //t in seconds for 1 day E=P*t; //calculating energy in Joule using E=P*t m=E/(c*c); //calculating m in kg using Einstein's equation:E=m*c*c disp(m,"Mass in kg = "); //displaying result
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cotg.sci
function t=cotg(x) //Eelemt wise cotangent of x // Copyright INRIA if type(x)<>1 then error(53),end t=sin(x).\cos(x)