Data commit

Task/Arithmetic-Complex/Dart/arithmetic-complex.dart

@@ -0,0 +1,50 @@
+class complex {
+
+  num real=0;
+  num imag=0;
+
+  complex(num r,num i){
+    this.real=r;
+    this.imag=i;
+  }
+
+
+  complex add(complex b){
+    return new complex(this.real + b.real, this.imag + b.imag);
+  }
+
+  complex mult(complex b){
+    //FOIL of (a+bi)(c+di) with i*i = -1
+    return new complex(this.real * b.real - this.imag * b.imag, this.real * b.imag + this.imag * b.real);
+  }
+
+  complex inv(){
+    //1/(a+bi) * (a-bi)/(a-bi) = 1/(a+bi) but it's more workable
+    num denom = real * real + imag * imag;
+    double r =real/denom;
+    double i= -imag/denom;
+    return new complex( r,-i);
+  }
+
+  complex neg(){
+    return new complex(-real, -imag);
+  }
+
+  complex conj(){
+    return new complex(real, -imag);
+  }
+
+
+String toString(){
+  return    this.real.toString()+' + '+ this.imag.toString()+'*i';
+}
+}
+void main() {
+  var cl= new complex(1,2);
+  var cl2= new complex(3,-1);
+  print(cl.toString());
+  print(cl2.toString());
+  print(cl.inv().toString());
+  print(cl2.mult(cl).toString());
+
+}