question: public static double polynomialDistance ( double [ ] coeffs1 , double [ ] coeffs2 ) { if ( coeffs1 == null || coeffs2 == null ) throw new NullPointerException ( "Received null argument" ) ; if ( coeffs1 . length != coeffs2 . length ) throw new IllegalArgumentException ( "Can only compare polynomials with same order" ) ; double dist = 0 ; int order = coeffs1 . length - 1 ; for ( int i = 0 ; i <= order ; i ++ ) { dist += ( coeffs1 [ order - i ] - coeffs2 [ order - i ] ) / ( i + 1 ) ; } return Math . abs ( dist ) ; }
target:  Compute the integrated distance between two polynomials of same order. More precisely, this will return the absolute value of the integral from 0 to 1 of the difference between the two functions.