From 19ed602c1ba7dc2b933274f50085c9c4f0f1105c Mon Sep 17 00:00:00 2001 From: rsiddharth Date: Sat, 14 Jan 2017 21:44:28 +0000 Subject: one -> net/ricketyspace/sicp --- net/ricketyspace/sicp/one/eight.scm | 38 ++++++++++++++++++++++ net/ricketyspace/sicp/one/eleven.scm | 41 ++++++++++++++++++++++++ net/ricketyspace/sicp/one/fifteen.scm | 31 ++++++++++++++++++ net/ricketyspace/sicp/one/five.scm | 13 ++++++++ net/ricketyspace/sicp/one/fourteen.scm | 43 +++++++++++++++++++++++++ net/ricketyspace/sicp/one/seven.scm | 49 ++++++++++++++++++++++++++++ net/ricketyspace/sicp/one/six.scm | 40 +++++++++++++++++++++++ net/ricketyspace/sicp/one/three.scm | 36 +++++++++++++++++++++ net/ricketyspace/sicp/one/twelve.scm | 58 ++++++++++++++++++++++++++++++++++ 9 files changed, 349 insertions(+) create mode 100644 net/ricketyspace/sicp/one/eight.scm create mode 100644 net/ricketyspace/sicp/one/eleven.scm create mode 100644 net/ricketyspace/sicp/one/fifteen.scm create mode 100644 net/ricketyspace/sicp/one/five.scm create mode 100644 net/ricketyspace/sicp/one/fourteen.scm create mode 100644 net/ricketyspace/sicp/one/seven.scm create mode 100644 net/ricketyspace/sicp/one/six.scm create mode 100644 net/ricketyspace/sicp/one/three.scm create mode 100644 net/ricketyspace/sicp/one/twelve.scm (limited to 'net') diff --git a/net/ricketyspace/sicp/one/eight.scm b/net/ricketyspace/sicp/one/eight.scm new file mode 100644 index 0000000..8157c23 --- /dev/null +++ b/net/ricketyspace/sicp/one/eight.scm @@ -0,0 +1,38 @@ +;;; Under Creative Commons Attribution-ShareAlike 4.0 +;;; International. See +;;; . + +(define-module (net ricketyspace sicp one eight) + #:export (cube double + div-three improve + good-enough? cbrt-iter + cbrt-sicp)) + +(use-modules (one six)) + +(define (cube x) + (* (square x) x)) + +(define (double x) + (* 2 x)) + +(define (div-three x) + (/ x 3.0)) + +(define (improve y x) + (div-three (+ (/ x (square y)) + (double y)))) + +(define (good-enough? y x) + (< (abs (- (cube y) x)) + 0.001)) + +(define (cbrt-iter y x) + (if (good-enough? y x) + y + (cbrt-iter (improve y x) + x))) + +(define (cbrt-sicp x) + (cbrt-iter 1.0 x)) + diff --git a/net/ricketyspace/sicp/one/eleven.scm b/net/ricketyspace/sicp/one/eleven.scm new file mode 100644 index 0000000..baa129b --- /dev/null +++ b/net/ricketyspace/sicp/one/eleven.scm @@ -0,0 +1,41 @@ +;;;; Under Creative Commons Attribution-ShareAlike 4.0 +;;;; International. See +;;;; . + +(define-module (net ricketyspace sicp one eleven) + #:export (recursive-fn + make-cache + alt-recursive-fn)) + +(define (recursive-fn n) + (cond ((<= n 3) n) + (else (+ (* 1 (recursive-fn (- n 1))) + (* 2 (recursive-fn (- n 2))) + (* 3 (recursive-fn (- n 3))))))) + +;;;; alternative version. faster but ugly. + +(define (make-cache) + (let ((cache (make-hash-table))) + (define (get key) + (hash-get-handle cache key)) + (define (set key value) + (hash-create-handle! cache key value) + ;; return value as a side effect. + value) + (lambda args + (apply (case (car args) + ((get) get) + ((set) set) + (else (error "Invalid method"))) + (cdr args))))) + +(define (alt-recursive-fn cache n) + (let ((v (cache 'get n))) + (cond (v (cdr v)) + ((<= n 3) + (cache 'set n n)) + (else (cache 'set n + (+ (* 1 (alt-recursive-fn cache (- n 1))) + (* 2 (alt-recursive-fn cache (- n 2))) + (* 3 (alt-recursive-fn cache (- n 3))))))))) diff --git a/net/ricketyspace/sicp/one/fifteen.scm b/net/ricketyspace/sicp/one/fifteen.scm new file mode 100644 index 0000000..a61fa8f --- /dev/null +++ b/net/ricketyspace/sicp/one/fifteen.scm @@ -0,0 +1,31 @@ +;;;; Under Creative Commons Attribution-ShareAlike 4.0 +;;;; International. See +;;;; . + +(define-module (net ricketyspace sicp one fifteen) + #:use-module (ice-9 regex) + #:export (sine)) + +(define (sine angle) + (let ((out "")) + (define (log angle) + (set! out (string-append out " (p (sine " + (number->string (/ angle 3.0))))) + (define (close-parens s) + (string-trim (string-append + s (fold-matches "\\([p,s]" s "" + (lambda (match prev) + (string-append prev ")")))))) + (define (cube x) (* x x x)) + (define (p x) (- (* 3 x) (* 4 (cube x)))) + (define (s angle) + (if (not (> (abs angle) 0.1)) + angle + (begin + (log angle) + (p (s (/ angle 3.0)))))) + (s angle) + (close-parens out))) +;; +;; (sine 12.15) +;; $25 = "(p (sine 4.05 (p (sine 1.3499999999999999 (p (sine 0.44999999999999996 (p (sine 0.15 (p (sine 0.049999999999999996))))))))))" diff --git a/net/ricketyspace/sicp/one/five.scm b/net/ricketyspace/sicp/one/five.scm new file mode 100644 index 0000000..f387919 --- /dev/null +++ b/net/ricketyspace/sicp/one/five.scm @@ -0,0 +1,13 @@ +;;; Under Creative Commons Attribution-ShareAlike 4.0 +;;; International. See +;;; . + +(define-module (net ricketyspace sicp one five) + #:export (p test)) + +(define (p) (p)) + +(define (test x y) + (if (= x 0) + 0 + y)) diff --git a/net/ricketyspace/sicp/one/fourteen.scm b/net/ricketyspace/sicp/one/fourteen.scm new file mode 100644 index 0000000..923c088 --- /dev/null +++ b/net/ricketyspace/sicp/one/fourteen.scm @@ -0,0 +1,43 @@ +;;;; Under Creative Commons Attribution-ShareAlike 4.0 +;;;; International. See +;;;; . + +;;; adapted from section 1.2.2 +;;; intolerable scheme drivel; ignore it. + +(define-module (net ricketyspace sicp one fourteen) + #:export (get-cc + cc-range + cc-diff-list)) + +(define (get-cc) + (let ((no-of-steps 0)) + (define (cc amount kinds-of-coins) + (set! no-of-steps (1+ no-of-steps)) + (cond ((= amount 0) 1) + ((or (< amount 0) (= kinds-of-coins 0)) 0) + (else (+ (cc amount + (- kinds-of-coins 1)) + (cc (- amount + (first-denomination kinds-of-coins)) + kinds-of-coins))))) + (define (first-denomination kinds-of-coins) + (cond ((= kinds-of-coins 1) 1) + ((= kinds-of-coins 2) 5) + ((= kinds-of-coins 3) 10) + ((= kinds-of-coins 4) 25) + ((= kinds-of-coins 5) 50))) + (lambda (amount) + (cc amount 5) + no-of-steps))) + +(define (cc-range amount limit incr) + (cond ((> amount limit) '()) + ((<= amount limit) + (cons ((get-cc) amount) + (cc-range (+ amount incr) limit incr))))) + +(define (cc-diff-list l) + (cond ((= (length l) 1) '()) + ((> (length l) 1) (cons (+ (* -1 (car l)) (cadr l)) + (cc-diff-list (cdr l)))))) diff --git a/net/ricketyspace/sicp/one/seven.scm b/net/ricketyspace/sicp/one/seven.scm new file mode 100644 index 0000000..9bda339 --- /dev/null +++ b/net/ricketyspace/sicp/one/seven.scm @@ -0,0 +1,49 @@ +;;; Under Creative Commons Attribution-ShareAlike 4.0 +;;; International. See +;;; . + +(define-module (net ricketyspace sicp one seven) + #:export (tolerances-and-sqrt + good-enough-alt? + sqrt-iter-alt + sqrt-sicp-alt)) + +(use-modules (one six)) + +;;;; start yak shaving +(define (gen-good-enough tolerance) + (lambda (guess x) + (< (abs (- (square guess) x)) tolerance))) + +(define (sqrt-iter-with-tolerance guess x tolerance) + (let ((good-enough? (gen-good-enough tolerance))) + (if (good-enough? guess x) + guess + (sqrt-iter-with-tolerance (improve guess x) + x tolerance)))) + +(define (sqrt-with-tolerance x tolerance) + (sqrt-iter-with-tolerance 1.0 x tolerance)) + +(define (tolerances-and-sqrt x tolerance) + (let* ((guile-sqrt (sqrt x)) + (custom-sqrt (sqrt-with-tolerance x tolerance))) + (if (eqv? guile-sqrt custom-sqrt) + (cons tolerance custom-sqrt) + (cons (cons tolerance custom-sqrt) + (tolerances-and-sqrt x (/ tolerance 10)))))) +;;;; end yak shaving + +;;; start excercise 1.1.7 +(define (good-enough-alt? guess prev-guess) + (< (abs (- guess prev-guess)) 0.001)) + +(define (sqrt-iter-alt guess prev-guess x) + (if (good-enough-alt? guess prev-guess) + guess + (sqrt-iter-alt (improve guess x) guess + x))) + +(define (sqrt-sicp-alt x) + (sqrt-iter-alt 1.0 2.0 x)) +;;;; end excercise 1.1.7 diff --git a/net/ricketyspace/sicp/one/six.scm b/net/ricketyspace/sicp/one/six.scm new file mode 100644 index 0000000..c1125ec --- /dev/null +++ b/net/ricketyspace/sicp/one/six.scm @@ -0,0 +1,40 @@ +;;; Under Creative Commons Attribution-ShareAlike 4.0 +;;; International. See +;;; . + +(define-module (net ricketyspace sicp one six) + #:export (sqrt-sicp sqrt-nif square good-enough? new-if improve)) + +(define (square x) + (* x x)) + +(define (good-enough? guess x) + (< (abs (- (square guess) x)) 0.001)) + +(define (average x y) + (/ (+ x y) 2)) + +(define (improve guess x) + (average guess (/ x guess))) + +(define (new-if predicate then-clause else-clause) + (cond (predicate then-clause) + (else else-clause))) + +(define (sqrt-iter guess x) + (if (good-enough? guess x) + guess + (sqrt-iter (improve guess x) + x))) + +(define (sqrt-iter-nif guess x) + (new-if (good-enough? guess x) + guess + (sqrt-iter-nif (improve guess x) + x))) + +(define (sqrt-sicp x) + (sqrt-iter 1.0 x)) + +(define (sqrt-nif x) + (sqrt-iter-nif 1.0 x)) diff --git a/net/ricketyspace/sicp/one/three.scm b/net/ricketyspace/sicp/one/three.scm new file mode 100644 index 0000000..3546fc9 --- /dev/null +++ b/net/ricketyspace/sicp/one/three.scm @@ -0,0 +1,36 @@ +;;; Under Creative Commons Attribution-ShareAlike 4.0 +;;; International. See +;;; . + +(define-module (net ricketyspace sicp one three) + #:export (square sum-of-squares largest first-arg-2nd-largest-p + sum-of-squares-of-largest-two)) + +(define (square x) (* x x)) + +(define (sum-of-squares x y) + (+ (square x) (square y))) + +(define (largest x y z) + (cond ((and (>= x y) + (>= x z)) x) + ((and (>= y x) + (>= y z)) y) + ((and (>= z x) + (>= z y)) z))) + +(define (first-arg-2nd-largest-p x y z) + (or (and (>= x y) + (<= x z)) + (and (<= x y) + (>= x z)) + )) + +(define (sum-of-squares-of-largest-two x y z) + (sum-of-squares (largest x y z) + (cond ((first-arg-2nd-largest-p x y z) + x) + ((first-arg-2nd-largest-p y x z) + y) + ((first-arg-2nd-largest-p z x y) + z)))) diff --git a/net/ricketyspace/sicp/one/twelve.scm b/net/ricketyspace/sicp/one/twelve.scm new file mode 100644 index 0000000..7d31561 --- /dev/null +++ b/net/ricketyspace/sicp/one/twelve.scm @@ -0,0 +1,58 @@ +;;;; Under Creative Commons Attribution-ShareAlike 4.0 +;;;; International. See +;;;; . + +;;; ____________________________ +;;; < pascal's fucking triangle. > +;;; ---------------------------- +;;; \ __ +;;; \ (--) +;;; \ ( ) +;;; \ /--\ +;;; __ / \ \ +;;; U--U\.'@@@@@@`.\ ) +;;; \__/(@@@@@@@@@@) / +;;; (@@@@@@@@)(( +;;; `YY~~~~YY' \\ +;;; || || >> +;;; + +(define-module (net ricketyspace sicp one twelve) + #:export (compute-triangle + compute-line + display-line + value-at + print-triangle + print-line)) + +(define (compute-triangle n) + (cond ((= n 1) (list (compute-line n 1))) + (else (cons (compute-line n 1) + (compute-triangle (- n 1)))))) + +(define (compute-line n pos) + (cond ((> pos n) '()) + (else + (cons (value-at n pos) + (compute-line n (+ pos 1)))))) + +(define (value-at line pos) + (cond ((= line 1) 1) + ((= pos 1) 1) + ((= line pos) 1) + (else (+ + (value-at (- line 1) (- pos 1)) + (value-at (- line 1) pos))))) + +;;;; printing + +(define (print-triangle tl level) + (cond ((= (length tl) 0) #t) + (else + (print-triangle (cdr tl) (+ 1 level)) + (print-line (car tl) level)))) + +(define (print-line l level) + (let* ((l (map number->string l)) + (line (string-join l))) + (format #t "~a\n" line))) -- cgit v1.2.3