question: private double [ ] alphafunction ( double [ ] x ) { if ( numberOfObjectives == 2 ) { if ( pType == 21 ) { return new double [ ] { x [ 0 ] , 1 - Math . sqrt ( x [ 0 ] ) } ; } else if ( pType == 22 ) { return new double [ ] { x [ 0 ] , 1 - x [ 0 ] * x [ 0 ] } ; } else if ( pType == 23 ) { return new double [ ] { x [ 0 ] , 1 - Math . sqrt ( x [ 0 ] ) - x [ 0 ] * Math . sin ( 10 * x [ 0 ] * x [ 0 ] * Math . PI ) } ; } else if ( pType == 24 ) { return new double [ ] { x [ 0 ] , 1 - x [ 0 ] - 0.05 * Math . sin ( 4 * Math . PI * x [ 0 ] ) } ; } else { throw new IllegalStateException ( ) ; } } else if ( numberOfObjectives == 3 ) { if ( pType == 31 ) { return new double [ ] { Math . cos ( x [ 0 ] * Math . PI / 2 ) * Math . cos ( x [ 1 ] * Math . PI / 2 ) , Math . cos ( x [ 0 ] * Math . PI / 2 ) * Math . sin ( x [ 1 ] * Math . PI / 2 ) , Math . sin ( x [ 0 ] * Math . PI / 2 ) } ; } else if ( pType == 32 ) { return new double [ ] { 1 - Math . cos ( x [ 0 ] * Math . PI / 2 ) * Math . cos ( x [ 1 ] * Math . PI / 2 ) , 1 - Math . cos ( x [ 0 ] * Math . PI / 2 ) * Math . sin ( x [ 1 ] * Math . PI / 2 ) , 1 - Math . sin ( x [ 0 ] * Math . PI / 2 ) } ; } else if ( pType == 33 ) { return new double [ ] { x [ 0 ] , x [ 1 ] , 3 - ( Math . sin ( 3 * Math . PI * x [ 0 ] ) + Math . sin ( 3 * Math . PI * x [ 1 ] ) ) - 2 * ( x [ 0 ] + x [ 1 ] ) } ; } else if ( pType == 34 ) { return new double [ ] { x [ 0 ] * x [ 1 ] , x [ 0 ] * ( 1 - x [ 1 ] ) , ( 1 - x [ 0 ] ) } ; } else { throw new IllegalStateException ( ) ; } } else { throw new IllegalStateException ( ) ; } }
target:  Controls the Pareto front shape.