question: private double determineAlphaMin ( int n , double [ ] alpha_min , HyperBoundingBox interval ) { double alpha_n = extremum_alpha_n ( n , alpha_min ) ; double lower = interval . getMin ( n ) ; double upper = interval . getMax ( n ) ; double [ ] alpha_extreme = new double [ alpha_min . length ] ; System . arraycopy ( alpha_min , n , alpha_extreme , n , alpha_extreme . length - n ) ; alpha_extreme [ n ] = alpha_n ; ExtremumType type = extremumType ( n , alpha_extreme , interval ) ; if ( type . equals ( ExtremumType . MINIMUM ) || type . equals ( ExtremumType . CONSTANT ) ) { if ( lower <= alpha_n && alpha_n <= upper ) { return alpha_n ; } else if ( alpha_n < lower ) { return lower ; } else { if ( alpha_n <= upper ) { throw new IllegalStateException ( "Should never happen!" ) ; } return upper ; } } else { if ( lower <= alpha_n && alpha_n <= upper ) { if ( alpha_n - lower <= upper - alpha_n ) { return upper ; } else { return lower ; } } else if ( alpha_n < lower ) { return upper ; } else { if ( alpha_n <= upper ) { throw new IllegalStateException ( "Should never happen!" ) ; } return lower ; } } }
target:  Determines the n-th alpha value where this function has a minimum in the specified interval.