// TestComplexFunctions.java  uses  class Complex

class TestComplexFunctions
{
  TestComplexFunctions()
  {
    Complex a;
    double  d;
    Complex q1 = new Complex(2.0,3.0);
    System.out.println("q1="+q1);
    Complex q2 = new Complex(-2.0,3.0);
    System.out.println("q2="+q2);
    Complex q3 = new Complex(2.0,-3.0);
    System.out.println("q3="+q3);
    Complex q4 = new Complex(-2.0,-3.0);
    System.out.println("q4="+q4);
    
    System.out.println("\n test complex sin and cos");
    Complex sinq;
    Complex cosq;
    sinq = q1.sin();
    cosq = q1.cos();
    System.out.println("sin(q1)="+sinq);
    System.out.println("cos(q1)="+cosq);
    System.out.println("sin^2+cos^2,q1 (1.0,0.0) == "+
                       (sinq.multiply(sinq)).add(cosq.multiply(cosq)));
    sinq = q2.sin();
    cosq = q2.cos();
    System.out.println("sin(q2)="+sinq);
    System.out.println("cos(q2)="+cosq);
    System.out.println("sin^2+cos^2,q2 (1.0,0.0) == "+
                       (sinq.multiply(sinq)).add(cosq.multiply(cosq)));
    sinq = q3.sin();
    cosq = q3.cos();
    System.out.println("sin(q3)="+sinq);
    System.out.println("cos(q3)="+cosq);
    System.out.println("sin^2+cos^2,q3 (1.0,0.0) == "+
                       (sinq.multiply(sinq)).add(cosq.multiply(cosq)));
    sinq = q4.sin();
    cosq = q4.cos();
    System.out.println("sin(q4)="+sinq);
    System.out.println("cos(q4)="+cosq);
    System.out.println("sin^2+cos^2,q4 (1.0,0.0) == "+
                       (sinq.multiply(sinq)).add(cosq.multiply(cosq)));

    System.out.println("\n test complex asin, four quadrants");
    // Complex sinq;
    Complex asinq;
    Complex sinasinq;
    Complex asinsinq;
    sinq = q1.sin();
    asinq = q1.asin();
    System.out.println("sin(q1)="+sinq);
    System.out.println("asin(q1)="+asinq);
    sinasinq = asinq.sin();
    System.out.println("sin(asin q1) "+sinasinq+" == "+q1+" q1");
    asinsinq = sinq.asin();
    System.out.println("asin(sin q1) "+asinsinq+" == "+q1+" q1");
    sinq = q2.sin();
    asinq = q2.asin();
    System.out.println("sin(q2)="+sinq);
    System.out.println("asin(q2)="+asinq);
    sinasinq = asinq.sin();
    System.out.println("sin(asin q2) "+sinasinq+" == "+q2+" q2");
    asinsinq = sinq.asin();
    System.out.println("asin(sin q2) "+asinsinq+" == "+q2+" q2");
    sinq = q3.sin();
    asinq = q3.asin();
    System.out.println("sin(q3)="+sinq);
    System.out.println("asin(q3)="+asinq);
    sinasinq = asinq.sin();
    System.out.println("sin(asin q3) "+sinasinq+" == "+q3+" q3");
    asinsinq = sinq.asin();
    System.out.println("asin(sin q3) "+asinsinq+" == "+q3+" q3");
    sinq = q4.sin();
    asinq = q4.asin();
    System.out.println("sin(q4)="+sinq);
    System.out.println("asin(q4)="+asinq);
    sinasinq = asinq.sin();
    System.out.println("sin(asin q4) "+sinasinq+" == "+q4+" q4");
    asinsinq = sinq.asin();
    System.out.println("asin(sin q4) "+asinsinq+" == "+q4+" q4");

    System.out.println("\n test complex acos, four quadrants");
    // Complex sinq;
    Complex acosq;
    Complex cosacosq;
    Complex acoscosq;
    cosq = q1.cos();
    acosq = q1.acos();
    System.out.println("cos(q1)="+cosq);
    System.out.println("acos(q1)="+acosq);
    cosacosq = acosq.cos();
    System.out.println("cos(acos q1) "+cosacosq+" == "+q1+" q1");
    acoscosq = cosq.acos();
    System.out.println("acos(cos q1) "+acoscosq+" == "+q1+" q1");
    cosq = q2.cos();
    acosq = q2.acos();
    System.out.println("cos(q2)="+cosq);
    System.out.println("acos(q2)="+acosq);
    cosacosq = acosq.cos();
    System.out.println("cos(acos q2) "+cosacosq+" == "+q2+" q2");
    acoscosq = cosq.acos();
    System.out.println("acos(cos q2) "+acoscosq+" == "+q2+" q2");
    cosq = q3.cos();
    acosq = q3.acos();
    System.out.println("cos(q3)="+cosq);
    System.out.println("acos(q3)="+acosq);
    cosacosq = acosq.cos();
    System.out.println("cos(acos q3) "+cosacosq+" == "+q3+" q3");
    acoscosq = cosq.acos();
    System.out.println("acos(cos q3) "+acoscosq+" == "+q3+" q3");
    cosq = q4.cos();
    acosq = q4.acos();
    System.out.println("cos(q4)="+cosq);
    System.out.println("acos(q4)="+acosq);
    cosacosq = acosq.cos();
    System.out.println("cos(acos q4) "+cosacosq+" == "+q4+" q4");
    acoscosq = cosq.acos();
    System.out.println("acos(cos q4) "+acoscosq+" == "+q4+" q4");

    System.out.println("\n test complex exp and log");
    Complex expq;
    Complex logq;
    Complex logexpq;
    Complex explogq;
    expq = q1.exp();
    logq = q1.log();
    System.out.println("exp(q1)="+expq);
    System.out.println("log(q1)="+logq);
    logexpq = expq.log();
    System.out.println("log(exp q1) "+logexpq+" == "+q1+" q1");
    explogq = logq.exp();
    System.out.println("exp(log q1) "+explogq+" == "+q1+" q1");
    expq = q2.exp();
    logq = q2.log();
    System.out.println("exp(q2)="+expq);
    System.out.println("log(q2)="+logq);
    logexpq = expq.log();
    System.out.println("log(exp q2) "+logexpq+" == "+q2+" q2");
    explogq = logq.exp();
    System.out.println("exp(log q2) "+explogq+" == "+q2+" q2");
    expq = q3.exp();
    logq = q3.log();
    System.out.println("exp(q3)="+expq);
    System.out.println("log(q3)="+logq);
    logexpq = expq.log();
    System.out.println("log(exp q3) "+logexpq+" == "+q3+" q3");
    explogq = logq.exp();
    System.out.println("exp(log q3) "+explogq+" == "+q3+" q3");
    expq = q4.exp();
    logq = q4.log();
    System.out.println("exp(q4)="+expq);
    System.out.println("log(q4)="+logq);
    logexpq = expq.log();
    System.out.println("log(exp q4) "+logexpq+" == "+q4+" q4");
    explogq = logq.exp();
    System.out.println("exp(log q4) "+explogq+" == "+q4+" q4");
    
    System.out.println("\n test complex sqrt"); 
    Complex sqrtq;
    Complex sqrq;
    sqrtq = q1.sqrt();
    System.out.println("sqrt(q1)="+sqrtq);
    System.out.println("sqrt(q1)*sqrt(q1) "+sqrtq.multiply(sqrtq)+" == "+q1+" q1");
    sqrq = q1.multiply(q1);
    System.out.println("sqrt(q1*q1) "+sqrq.sqrt()+" == "+q1+" q1");
    sqrtq = q2.sqrt();
    System.out.println("sqrt(q2)="+sqrtq);
    System.out.println("sqrt(q2)*sqrt(q2) "+sqrtq.multiply(sqrtq)+" == "+q2+" q2");
    sqrq = q2.multiply(q2);
    System.out.println("sqrt(q2*q2) "+sqrq.sqrt()+" != "+q2+" q2 wrap");
    sqrtq = q3.sqrt();
    System.out.println("sqrt(q3)="+sqrtq);
    System.out.println("sqrt(q3)*sqrt(q3) "+sqrtq.multiply(sqrtq)+" == "+q3+" q3");
    sqrq = q3.multiply(q3);
    System.out.println("sqrt(q3*q3) "+sqrq.sqrt()+" == "+q3+" q3");
    sqrtq = q4.sqrt();
    System.out.println("sqrt(q4)="+sqrtq);
    System.out.println("sqrt(q4)*sqrt(q4) "+sqrtq.multiply(sqrtq)+" == "+q4+" q4");
    sqrq = q4.multiply(q4);
    System.out.println("sqrt(q4*q4) "+sqrq.sqrt()+" != "+q4+" q4 wrap");

    System.out.println("\n test complex tan and atan, four quadrants");
    Complex tanq;
    Complex atanq;
    Complex tanatanq;
    Complex atantanq;
    tanq = q1.tan();
    atanq = q1.atan();
    System.out.println("tan(q1)="+tanq);
    System.out.println("atan(q1)="+atanq);
    tanatanq = tanq.atan();
    System.out.println("tan(atan q1) "+tanatanq+" == "+q1+" q1");
    atantanq = atanq.tan();
    System.out.println("atan(tan q1) "+atantanq+" == "+q1+" q1");
    tanq = q2.tan();
    atanq = q2.atan();
    System.out.println("tan(q2)="+tanq);
    System.out.println("atan(q2)="+atanq);
    tanatanq = tanq.atan();
    System.out.println("tan(atan q2) "+tanatanq+" == "+q2+" q2");
    atantanq = atanq.tan();
    System.out.println("atan(tan q2) "+atantanq+" == "+q2+" q2");
    tanq = q3.tan();
    atanq = q3.atan();
    System.out.println("tan(q3)="+tanq);
    System.out.println("atan(q3)="+atanq);
    tanatanq = tanq.atan();
    System.out.println("tan(atan q3) "+tanatanq+" == "+q3+" q3");
    atantanq = atanq.tan();
    System.out.println("atan(tan q3) "+atantanq+" == "+q3+" q3");
    tanq = q4.tan();
    atanq = q4.atan();
    System.out.println("tan(q4)="+tanq);
    System.out.println("atan(q4)="+atanq);
    tanatanq = tanq.atan();
    System.out.println("tan(atan q4) "+tanatanq+" == "+q4+" q4");
    atantanq = atanq.tan();
    System.out.println("atan(tan q4) "+atantanq+" == "+q4+" q4");

    System.out.println("\n test complex pow");
    Complex two=new Complex(2.0);
    Complex three=new Complex(3.0);
    Complex naturale=new Complex(StrictMath.E);
    Complex powq;
    powq = q1.pow(two);
    System.out.println("q1.pow(two)="+powq+" == "+q1.multiply(q1));
    powq = q1.pow(three);
    System.out.println("q1.pow(three)="+powq+" == "+q1.multiply(q1.multiply(q1)));
    powq = naturale.pow(q1);
    System.out.println("e.pow(q1)="+powq+" == "+q1.exp());
    powq = q2.pow(two);
    System.out.println("q2.pow(two)="+powq+" == "+q2.multiply(q2));
    powq = q2.pow(three);
    System.out.println("q2.pow(three)="+powq+" == "+q2.multiply(q2.multiply(q2)));
    powq = naturale.pow(q2);
    System.out.println("e.pow(q2)="+powq+" == "+q2.exp());
    powq = q3.pow(two);
    System.out.println("q3.pow(two)="+powq+" == "+q3.multiply(q3));
    powq = q3.pow(three);
    System.out.println("q3.pow(three)="+powq+" == "+q3.multiply(q3.multiply(q3)));
    powq = naturale.pow(q3);
    System.out.println("e.pow(q3)="+powq+" == "+q3.exp());
    powq = q4.pow(two);
    System.out.println("q4.pow(two)="+powq+" == "+q4.multiply(q4));
    powq = q4.pow(three);
    System.out.println("q4.pow(three)="+powq+" == "+q4.multiply(q4.multiply(q4)));
    powq = naturale.pow(q4);
    System.out.println("e.pow(q4)="+powq+" == "+q4.exp());
  }
  
  public static void main(String args[])
  {
    new TestComplexFunctions();
  }
}