You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
22 lines
641 B
22 lines
641 B
2 years ago
|
|
||
|
Exercise 2.94: Using div-terms, implement
|
||
|
the procedure remainder-terms and use this to define gcd-terms as
|
||
|
above. Now write a procedure gcd-poly that computes the polynomial
|
||
|
GCD of two polys. (The procedure should signal an error if the two
|
||
|
polys are not in the same variable.) Install in the system a generic operation
|
||
|
greatest-common-divisor that reduces to gcd-poly for polynomials
|
||
|
and to ordinary gcd for ordinary numbers. As a test, try
|
||
|
|
||
|
|
||
|
(define p1
|
||
|
(make-polynomial
|
||
|
'x '((4 1) (3 -1) (2 -2) (1 2))))
|
||
|
|
||
|
(define p2
|
||
|
(make-polynomial
|
||
|
'x '((3 1) (1 -1))))
|
||
|
|
||
|
(greatest-common-divisor p1 p2)
|
||
|
|
||
|
and check your result by hand.
|