ModelicaStandardLibrary/ModelicaTest/ComplexMath.mo at master · modelscript/ModelicaStandardLibrary · GitHub

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within ModelicaTest;

package ComplexMath "Test functions for Complex and Modelica.ComplexMath"

extends Modelica.Icons.ExamplesPackage;

function ComplexFunctions

extends Modelica.Icons.Function;

import Complex;

input String logFile = "ModelicaTestLog.txt"

"Filename where the log is stored";

output Boolean success;

protected

Complex c1;

Complex c2;

Complex res;

Complex ref;

Real Res;

Real Ref;

Boolean bRes;

Boolean bRef;

constant Real epsilon=1E-14;

algorithm

success:=false;

Modelica.Utilities.Streams.print("... Test of Complex and of Modelica.ComplexMath");

Modelica.Utilities.Streams.print("... Test of Complex and of Modelica.ComplexMath", logFile);

c1:=Complex(1,1);

res:=-c1;

ref:=Complex(-1,-1);

assert(ref==res, "unary minus failed");

c1:=Complex(1,1);

c2:=Complex(2,2);

res:=c1 - c2;

ref:=Complex(-1,-1);

assert(ref==res, "subtraction failed");

c1:=Complex(1,1);

c2:=Complex(2,2);

res:=c1 + c2;

ref:=Complex(3,3);

assert(ref==res, "addition failed");

c1:=Complex(1,1);

c2:=Complex(2,2);

res:=c1 * c2;

ref:=Complex(0,4);

assert(ref==res, "multiplication failed");

c1:=Complex(1,1);

c2:=Complex(2,2);

res:=c1 / c2;

ref:=Complex(0.5,0);

assert(ref==res, "division failed");

c1:=Complex(1,1);

c2:=Complex(2,2);

res:=c1 ^ c2;

ref:=Complex(-0.265653998849241,+0.319818113856136);

assert(Modelica.ComplexMath.abs(ref-res)<epsilon, "power failed");

c1:=Complex(2,3);

c2:=Complex(2,3);

bRes:=c1 == c2;

bRef:=true;

assert(bRef==bRes, "Equality failed");

c1:=Complex(2,5);

c2:=Complex(2,3);

bRes:=c1 == c2;

bRef:=false;

assert(bRef==bRes, "Equality failed");

c1:=Complex(2,3);

c2:=Complex(2,3);

bRes:=c1 <> c2;

bRef:=false;

assert(bRef==bRes, "Equality failed");

c1:=Complex(2,5);

c2:=Complex(2,3);

bRes:=c1 <> c2;

bRef:=true;

assert(bRef==bRes, "Equality failed");

c1:=Complex(1,1);

res:=Modelica.ComplexMath.sin(c1);

ref:=Complex(+1.29845758141598,+0.634963914784736);

assert(Modelica.ComplexMath.abs(ref-res)<epsilon, "sin failed");

c1:=Complex(1,1);

res:=Modelica.ComplexMath.cos(c1);

ref:=Complex(+0.83373002513114,-0.988897705762865);

assert(Modelica.ComplexMath.abs(ref-res)<epsilon, "cos failed");

c1:=Complex(1,1);

res:=Modelica.ComplexMath.tan(c1);

ref:=Complex(+0.271752585319512,+1.08392332733869);

assert(Modelica.ComplexMath.abs(ref-res)<epsilon, "tan failed");

c1:=Complex(1,1);

res:=Modelica.ComplexMath.asin(c1);

ref:=Complex(+0.666239432492515,+1.06127506190504);

assert(Modelica.ComplexMath.abs(ref-res)<epsilon, "asin failed");

c1:=Complex(1,1);

res:=Modelica.ComplexMath.acos(c1);

ref:=Complex(+0.904556894302381,-1.06127506190504);

assert(Modelica.ComplexMath.abs(ref-res)<epsilon, "acos failed");

c1:=Complex(1,1);

res:=Modelica.ComplexMath.atan(c1);

ref:=Complex(+1.01722196789785,+0.402359478108525);

assert(Modelica.ComplexMath.abs(ref-res)<epsilon, "atan failed");

c1:=Complex(1,1);

res:=Modelica.ComplexMath.sinh(c1);

ref:=Complex(+0.634963914784736,+1.29845758141598);

assert(Modelica.ComplexMath.abs(ref-res)<epsilon, "sinh failed");

c1:=Complex(1,1);

res:=Modelica.ComplexMath.cosh(c1);

ref:=Complex(+0.833730025131149,+0.988897705762865);

assert(Modelica.ComplexMath.abs(ref-res)<epsilon, "cosh failed");

c1:=Complex(1,1);

res:=Modelica.ComplexMath.tanh(c1);

ref:=Complex(+1.08392332733869,+0.271752585319512);

assert(Modelica.ComplexMath.abs(ref-res)<epsilon, "tanh failed");

c1:=Complex(1,1);

res:=Modelica.ComplexMath.asinh(c1);

ref:=Complex(+1.06127506190504,+0.666239432492515);

assert(Modelica.ComplexMath.abs(ref-res)<epsilon, "asinh failed");

c1:=Complex(1,1);

res:=Modelica.ComplexMath.acosh(c1);

ref:=Complex(+1.06127506190504,+0.904556894302381);

assert(Modelica.ComplexMath.abs(ref-res)<epsilon, "acosh failed");

c1:=Complex(1,1);

res:=Modelica.ComplexMath.atanh(c1);

ref:=Complex(+0.402359478108525,+1.01722196789785);

assert(Modelica.ComplexMath.abs(ref-res)<epsilon, "atanh failed");

c1:=Complex(1,1);

res:=Modelica.ComplexMath.exp(c1);

ref:=Complex(+1.46869393991589,+2.28735528717884);

assert(Modelica.ComplexMath.abs(ref-res)<epsilon, "eps failed");

c1:=Complex(1,1);

res:=Modelica.ComplexMath.log(c1);

ref:=Complex(+0.346573590279973,+0.785398163397448);

assert(Modelica.ComplexMath.abs(ref-res)<epsilon, "log failed");

c1:=Complex(1,1);

Res:=Modelica.ComplexMath.abs(c1);

Ref:=sqrt(2);

assert(abs(Ref-Res)<epsilon, "abs failed");

c1:=Complex(1,1);

Res:=Modelica.ComplexMath.arg(c1);

Ref:=Modelica.Constants.pi/4;

assert(abs(Ref-Res)<epsilon, "arg failed");

c1:=Complex(1,1);

res:=Modelica.ComplexMath.conj(c1);

ref:=Complex(1,-1);

assert(Modelica.ComplexMath.abs(ref-res)<epsilon, "conj failed");

c1:=Complex(1,1);

Res:=Modelica.ComplexMath.real(c1);

Ref:=1;

assert(abs(Ref-Res)<epsilon, "real failed");

c1:=Complex(1,1);

Res:=Modelica.ComplexMath.imag(c1);

Ref:=1;

assert(abs(Ref-Res)<epsilon, "imag failed");

res:=Modelica.ComplexMath.fromPolar(sqrt(2),Modelica.Constants.pi/4);

ref:=Complex(1,1);

assert(abs(Ref-Res)<epsilon, "fromPolar failed");

c1:=Complex(1,1);

res:=Modelica.ComplexMath.sqrt(c1);

ref:=Complex(+1.09868411346781,+0.455089860562227);

assert(Modelica.ComplexMath.abs(ref-res)<epsilon, "sqrt failed");

success:=true;

end ComplexFunctions;

function ComplexOperations

extends Modelica.Icons.Function;

output Boolean success;

protected

Real a = 2;

Complex j = Modelica.ComplexMath.j;

Complex b = 2 + 3*j;

Complex c = (2*b + a)/b;

Complex d = Modelica.ComplexMath.sin(c);

Complex v[3] = {b/2, c, 2*d};

algorithm

success:=true;

end ComplexOperations;

model TestComplexFunctions

extends Modelica.Icons.Example;

Boolean result;

algorithm

when initial() then

result := ModelicaTest.ComplexMath.ComplexFunctions();

end when;

annotation (experiment(StopTime=0));

end TestComplexFunctions;

model TestComplexOperations

extends Modelica.Icons.Example;

Boolean result;

algorithm

when initial() then

result := ModelicaTest.ComplexMath.ComplexFunctions();

end when;

annotation (experiment(StopTime=0));

end TestComplexOperations;

end ComplexMath;

ModelicaStandardLibrary/ModelicaTest/ComplexMath.mo at master · modelscript/ModelicaStandardLibrary · GitHub

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