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| (define random-init 7) ;**not in book** | |
| (define rand | |
| (let | |
| ((x random-init)) | |
| (lambda () | |
| (set! x (+ 10000 (random x))) | |
| x))) | |
| (define (estimate-pi trials) | |
| (sqrt (/ 6 (monte-carlo trials cesaro-test)))) | |
| (define (cesaro-test) | |
| (= (gcd (rand) (rand)) 1)) | |
| (define (monte-carlo trials experiment) | |
| (define (iter trials-remaining trials-passed) | |
| (cond | |
| ((= trials-remaining 0) | |
| (/ trials-passed trials)) | |
| ((experiment) | |
| (iter (- trials-remaining 1) (+ trials-passed 1))) | |
| (else | |
| (iter (- trials-remaining 1) trials-passed)))) | |
| (iter trials 0)) | |
| (estimate-pi 1000) | |