test/test-frequency-response.rkt
```#lang racket

(require "../frequency-response.rkt"
"../filter.rkt"
"../filter-typed.rkt"
rackunit)

;; 100-pole comb
(define (poly1 z)
(/ 1 (- 1 (* 0.95 (expt z -100)))))

(printf "100-pole comb filter, 0 up to Nyquist:\n")
;; show the whole range:
(response-plot poly1
0.0      ; min-freq
22050.0) ; max-freq

(printf "100-pole comb filter, 10K up to 11K:\n")
;; show the range from 10K to 11K:
(response-plot poly1
10000  ; min-freq
11000) ; max-freq

(printf "a single zero at 1:\n")
;; a single zero at 1:
(response-plot (lambda (z) (- 1 (expt z -1))) 0 22050)

(printf "a single zero at 1:\n")
;; the same thing, using poles&zeros:
(response-plot (poles&zeros->poly '() '(1)) 0 22050)

(printf "one pole, two zeros:\n")
;; modeling a single pole and two zeros.
(response-plot (lambda (z)
(let ([a -0.28]
[b 0.57])
(/ (- 1 (expt z -2))
1
(+ 1
(* -2 a (expt z -1))
(* (+ (* a a) (* b b)) (expt z -2))))))
0
22050)

(printf "one pole, two zeros:\n")
;; the same thing, using poles&zeros:
(response-plot (poles&zeros->poly '(-0.28+0.57i -0.28-0.57i) '(1 -1))
0
22050)

(printf "poles on a vertical line, zeros at i and -i:\n")
(response-plot (poles&zeros->poly '(0.5 0.5+0.5i 0.5-0.5i) '(0+i 0-i))
0
22050)

(printf "I think this is a set of chebyshev coefficients...:\n")
(response-plot (coefficient-sets->poly
'(1.0 -3.826392 5.516636 -3.5511127 0.861025)
'(8.697132e-06 3.478853e-05 5.2182793e-05 3.478853e-05
8.697132e-06))
0
22050)

```