Browse Source

Mostly playing with racket and prepared for upload to github

Signed-off-by: Collin J. Doering <rekahsoft@gmail.com>
master
Collin J. Doering 7 years ago
parent
commit
09907e8207
15 changed files with 731 additions and 15 deletions
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      .gitignore
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      Assembly/helloworld.s
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      Assembly/test.s
  4. +4
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      C/test.c
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      Haskell/LargestPalindromeFromIntPairs.hs
  6. +23
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      Haskell/Lockers.hs
  7. +193
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      Haskell/ProjectEuler.hs
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      Racket/DFA.rkt
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      Racket/avl-tree.rkt
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      Racket/comparable.rkt
  11. +44
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      Racket/macros.rkt
  12. +39
    -15
      Racket/rdm.rkt
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      Racket/simple-searches.rkt
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      Racket/simple-sorts.rkt
  15. +23
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      Shell/rdm.sh

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.gitignore View File

@ -1 +1,2 @@
.*
*~

Racket/helloworld.s → Assembly/helloworld.s View File


Racket/test.s → Assembly/test.s View File


+ 4
- 0
C/test.c View File

@ -21,6 +21,10 @@
* Date: Jun 27, 2012
*/
int gcd (int a, int b) {
return 0;
}
int main () {
return 0;
}

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Haskell/LargestPalindromeFromIntPairs.hs View File

@ -0,0 +1,13 @@
isPalindrome :: (Eq a) => [a] -> Bool
isPalindrome x
| mod len 2 == 0 && take (div len 2) x == reverse (drop (div len 2) x) = True
| otherwise = False
where len = length x
largestPalidromeOfSize :: Int -> Int
largestPalidromeOfSize n = foldr max 0 . map (uncurry (*)) . filter (isPalindrome . show . uncurry (*)) $ [ (x,y) | x <- [s,s-1..t], y <- [s,s-1..t] ]
where s = (10 ^ n) - 1
t = s `quot` 2

+ 23
- 0
Haskell/Lockers.hs View File

@ -0,0 +1,23 @@
import Data.Foldable
import qualified Data.Map.Lazy as Map
type Lockers = Map.Map Int Bool
makeLockers :: Int -> Lockers
makeLockers n = Map.fromList $ zip [1..n] $ replicate n False
changeLockersState :: Int -> Lockers -> Lockers
changeLockersState n l = foldr' (Map.adjust not) l modNList
where modNList = [ n * m | m <- take (Map.size l `quot` n) [1..] ]
runLockers :: Lockers -> Lockers
runLockers l = foldr' changeLockersState l [1..Map.size l]
main :: IO ()
main = do
putStrLn "Enter how many lockers: "
n <- fmap read getLine :: IO Int
let lockers = runLockers $ makeLockers n
putStrLn $ "The following lockers remained open after " ++ show n ++ " iterations: "
print (Map.keys $ Map.filterWithKey (flip const) lockers)

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- 0
Haskell/ProjectEuler.hs View File

@ -0,0 +1,193 @@
-- (C) Copyright Collin Doering 2014
--
-- This program is free software: you can redistribute it and/or modify
-- it under the terms of the GNU General Public License as published by
-- the Free Software Foundation, either version 3 of the License, or
-- (at your option) any later version.
--
-- This program is distributed in the hope that it will be useful,
-- but WITHOUT ANY WARRANTY; without even the implied warranty of
-- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
-- GNU General Public License for more details.
--
-- You should have received a copy of the GNU General Public License
-- along with this program. If not, see <http://www.gnu.org/licenses/>.
-- File: ProjectEuler.hs
-- Author: Collin J. Doering <rekahsoft@gmail.com>
-- Date: May 18, 2014
-----------------------------------------------------------------------------------------------
-- Problem 4: Largest palindrome product --
-----------------------------------------------------------------------------------------------
isPalindrome :: (Eq a) => [a] -> Bool
isPalindrome x
| mod len 2 == 0 && take (div len 2) x == reverse (drop (div len 2) x) = True
| otherwise = False
where len = length x
largestPalidromeOfSize :: Int -> Int
largestPalidromeOfSize n = foldr max 0 . map (uncurry (*)) . filter (isPalindrome . show . uncurry (*)) $ [ (x,y) | x <- [s,s-1..t], y <- [s,s-1..t] ]
where s = (10 ^ n) - 1
t = s `quot` 2
-----------------------------------------------------------------------------------------------
-----------------------------------------------------------------------------------------------
-- Problem 5: Smallest multiple --
-----------------------------------------------------------------------------------------------
-----------------------------------------------------------------------------------------------
-----------------------------------------------------------------------------------------------
-- Problem 7: 10001 prime --
-----------------------------------------------------------------------------------------------
isPrime :: Integral b => b -> Bool
isPrime n = all (not . (== 0) . (n `mod`)) [2..quot n 2]
nthPrime :: Integral a => Int -> a
nthPrime n = [ x | x <- [2..], isPrime x] !! n
-----------------------------------------------------------------------------------------------
-----------------------------------------------------------------------------------------------
-- Problem 8: Largest product in a series --
-----------------------------------------------------------------------------------------------
p8Series :: Integer
p8Series = read . concat $
[ "73167176531330624919225119674426574742355349194934"
, "96983520312774506326239578318016984801869478851843"
, "85861560789112949495459501737958331952853208805511"
, "12540698747158523863050715693290963295227443043557"
, "66896648950445244523161731856403098711121722383113"
, "62229893423380308135336276614282806444486645238749"
, "30358907296290491560440772390713810515859307960866"
, "70172427121883998797908792274921901699720888093776"
, "65727333001053367881220235421809751254540594752243"
, "52584907711670556013604839586446706324415722155397"
, "53697817977846174064955149290862569321978468622482"
, "83972241375657056057490261407972968652414535100474"
, "82166370484403199890008895243450658541227588666881"
, "16427171479924442928230863465674813919123162824586"
, "17866458359124566529476545682848912883142607690042"
, "24219022671055626321111109370544217506941658960408"
, "07198403850962455444362981230987879927244284909188"
, "84580156166097919133875499200524063689912560717606"
, "05886116467109405077541002256983155200055935729725"
, "71636269561882670428252483600823257530420752963450" ]
largestProduct :: Integer -> Integer
largestProduct n = foldr max 0 . flip fiveProducts [] $ [ read [x] | x <- show n]
fiveProducts :: Num a => [a] -> [a] -> [a]
fiveProducts [] acc = acc
fiveProducts (a:b:c:d:e:f:g:h:i:j:k:l:m:xs) acc = fiveProducts (b:c:d:e:f:g:h:i:j:k:l:m:xs) (a * b * c * d * e * f * g * h * i * j * k * l * m : acc)
fiveProducts _ acc = acc
-----------------------------------------------------------------------------------------------
-----------------------------------------------------------------------------------------------
-- Problem 13: Large Sum --
-----------------------------------------------------------------------------------------------
numsToSum = [ 37107287533902102798797998220837590246510135740250
, 46376937677490009712648124896970078050417018260538
, 74324986199524741059474233309513058123726617309629
, 91942213363574161572522430563301811072406154908250
, 23067588207539346171171980310421047513778063246676
, 89261670696623633820136378418383684178734361726757
, 28112879812849979408065481931592621691275889832738
, 44274228917432520321923589422876796487670272189318
, 47451445736001306439091167216856844588711603153276
, 70386486105843025439939619828917593665686757934951
, 62176457141856560629502157223196586755079324193331
, 64906352462741904929101432445813822663347944758178
, 92575867718337217661963751590579239728245598838407
, 58203565325359399008402633568948830189458628227828
, 80181199384826282014278194139940567587151170094390
, 35398664372827112653829987240784473053190104293586
, 86515506006295864861532075273371959191420517255829
, 71693888707715466499115593487603532921714970056938
, 54370070576826684624621495650076471787294438377604
, 53282654108756828443191190634694037855217779295145
, 36123272525000296071075082563815656710885258350721
, 45876576172410976447339110607218265236877223636045
, 17423706905851860660448207621209813287860733969412
, 81142660418086830619328460811191061556940512689692
, 51934325451728388641918047049293215058642563049483
, 62467221648435076201727918039944693004732956340691
, 15732444386908125794514089057706229429197107928209
, 55037687525678773091862540744969844508330393682126
, 18336384825330154686196124348767681297534375946515
, 80386287592878490201521685554828717201219257766954
, 78182833757993103614740356856449095527097864797581
, 16726320100436897842553539920931837441497806860984
, 48403098129077791799088218795327364475675590848030
, 87086987551392711854517078544161852424320693150332
, 59959406895756536782107074926966537676326235447210
, 69793950679652694742597709739166693763042633987085
, 41052684708299085211399427365734116182760315001271
, 65378607361501080857009149939512557028198746004375
, 35829035317434717326932123578154982629742552737307
, 94953759765105305946966067683156574377167401875275
, 88902802571733229619176668713819931811048770190271
, 25267680276078003013678680992525463401061632866526
, 36270218540497705585629946580636237993140746255962
, 24074486908231174977792365466257246923322810917141
, 91430288197103288597806669760892938638285025333403
, 34413065578016127815921815005561868836468420090470
, 23053081172816430487623791969842487255036638784583
, 11487696932154902810424020138335124462181441773470
, 63783299490636259666498587618221225225512486764533
, 67720186971698544312419572409913959008952310058822
, 95548255300263520781532296796249481641953868218774
, 76085327132285723110424803456124867697064507995236
, 37774242535411291684276865538926205024910326572967
, 23701913275725675285653248258265463092207058596522
, 29798860272258331913126375147341994889534765745501
, 18495701454879288984856827726077713721403798879715
, 38298203783031473527721580348144513491373226651381
, 34829543829199918180278916522431027392251122869539
, 40957953066405232632538044100059654939159879593635
, 29746152185502371307642255121183693803580388584903
, 41698116222072977186158236678424689157993532961922
, 62467957194401269043877107275048102390895523597457
, 23189706772547915061505504953922979530901129967519
, 86188088225875314529584099251203829009407770775672
, 11306739708304724483816533873502340845647058077308
, 82959174767140363198008187129011875491310547126581
, 97623331044818386269515456334926366572897563400500
, 42846280183517070527831839425882145521227251250327
, 55121603546981200581762165212827652751691296897789
, 32238195734329339946437501907836945765883352399886
, 75506164965184775180738168837861091527357929701337
, 62177842752192623401942399639168044983993173312731
, 32924185707147349566916674687634660915035914677504
, 99518671430235219628894890102423325116913619626622
, 73267460800591547471830798392868535206946944540724
, 76841822524674417161514036427982273348055556214818
, 97142617910342598647204516893989422179826088076852
, 87783646182799346313767754307809363333018982642090
, 10848802521674670883215120185883543223812876952786
, 71329612474782464538636993009049310363619763878039
, 62184073572399794223406235393808339651327408011116
, 66627891981488087797941876876144230030984490851411
, 60661826293682836764744779239180335110989069790714
, 85786944089552990653640447425576083659976645795096
, 66024396409905389607120198219976047599490197230297
, 64913982680032973156037120041377903785566085089252
, 16730939319872750275468906903707539413042652315011
, 94809377245048795150954100921645863754710598436791
, 78639167021187492431995700641917969777599028300699
, 15368713711936614952811305876380278410754449733078
, 40789923115535562561142322423255033685442488917353
, 44889911501440648020369068063960672322193204149535
, 41503128880339536053299340368006977710650566631954
, 81234880673210146739058568557934581403627822703280
, 82616570773948327592232845941706525094512325230608
, 22918802058777319719839450180888072429661980811197
, 77158542502016545090413245809786882778948721859617
, 72107838435069186155435662884062257473692284509516
, 20849603980134001723930671666823555245252804609722
, 53503534226472524250874054075591789781264330331690 ]
first10DigitsOfSum :: [Integer] -> Integer
first10DigitsOfSum = read . take 10 . show . sum
-----------------------------------------------------------------------------------------------

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Racket/DFA.rkt View File

@ -0,0 +1,114 @@
#lang racket
;; (C) Copyright Collin J. Doering 2014
;;
;; This program is free software: you can redistribute it and/or modify
;; it under the terms of the GNU General Public License as published by
;; the Free Software Foundation, either version 3 of the License, or
;; (at your option) any later version.
;;
;; This program is distributed in the hope that it will be useful,
;; but WITHOUT ANY WARRANTY; without even the implied warranty of
;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
;; GNU General Public License for more details.
;;
;; You should have received a copy of the GNU General Public License
;; along with this program. If not, see <http://www.gnu.org/licenses/>.
;; File: DFA.rkt
;; Author: Collin J. Doering <collin.doering@rekahsoft.ca>
;; Date: Aug 27, 2014
;; Description: an implementation of Determinalistic Finite Autamata
(require (for-syntax syntax/parse))
;; Some structures to represent a DFA
(struct dfaState (trans))
(struct dfaEndState dfaState ())
(struct dfaStartState dfaState ())
(struct dfaStartEndState dfaState ())
(struct dfa (alpha start states))
(define (compute-dfa m xs)
(define/match (run-dfa state ys)
[((or (dfaEndState _)
(dfaStartEndState _)) '()) 'accept]
[(_ '()) 'reject]
[((dfaState f) (cons z zs)) (run-dfa (f z) zs)])
(run-dfa (dfa-start m) xs))
(define-syntax (define-dfa stx)
(define-syntax-class transition
#:description "dfa state transition"
(pattern (in (~optional ->) out:id)))
(define-syntax-class state
#:description "dfa state"
(pattern (name:id (~optional (~seq (~and #:end end?))) trans:transition ...+)
#:with (in ...) #'(trans.in ...)
#:with (out ...) #'(trans.out ...)))
;; (pattern (name:id (~seq (~and #:end end2?)) (~optional (~and #:end end?))))
(syntax-parse stx
[(_ name:id alpha:expr start:state rests:state ...)
#:fail-when (check-duplicate-identifier
(syntax->list
#'(start.name rests.name ...)))
"duplicate state names"
#'(define name
(letrec ([start.name
(dfaStartState
(match-lambda [start.in start.out] ...))]
[rests.name
(dfaState
(match-lambda [rests.in rests.out] ...))] ...)
(dfa 'alpha start.name '(start.name rests.name ...))))]))
;; ----------------------------------------------------------------------------
(define-dfa odd-binary (0 1)
[s0 (0 -> s0)
(1 -> s1)]
[s1 (0 -> s0)
(1 -> s1)]
[s2 #:end
(0 -> s2)
(1 -> s1)]
[s3 #:dead (0 -> s3) (1 -> s3)])
;; Odd binary dfa expansion
(define odd-dfa
(letrec ([s0 (dfaStartState (match-lambda [0 s0]
[1 s1]))]
[s1 (dfaEndState (match-lambda [0 s0]
[1 s1]))])
(dfa '(0 1) s0 '(s0 s1))))
;; Even binary dfa expansion
(define even-dfa
(letrec ([s0 (dfaStartState (match-lambda [0 s0]
[1 s1]))]
[s1 (dfaState (match-lambda [0 s2]
[1 s1]))]
[s2 (dfaEndState (match-lambda [0 s0]
[1 s1]))])
(dfa '(0 1) s0 '(s0 s1 s2))))
;; Odd binary dfa macro
;; (define-dfa odd-dfa (0 1)
;; [s0 (0 -> s0)
;; (1 -> s1)]
;; [s1 end
;; (0 -> s0)
;; (1 -> s1)])
;; ;; Even binary dfa macro
;; (define-dfa even-dfa (0 1)
;; [s0 (0 -> s0)
;; (1 -> s1)]
;; [s1 (0 -> s2)
;; (1 -> s1)]
;; [s2 end
;; (0 -> s0)
;; (1 -> s1)])

+ 141
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Racket/avl-tree.rkt View File

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#lang racket
;; (C) Copyright Collin J. Doering 2014
;;
;; This program is free software: you can redistribute it and/or modify
;; it under the terms of the GNU General Public License as published by
;; the Free Software Foundation, either version 3 of the License, or
;; (at your option) any later version.
;;
;; This program is distributed in the hope that it will be useful,
;; but WITHOUT ANY WARRANTY; without even the implied warranty of
;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
;; GNU General Public License for more details.
;;
;; You should have received a copy of the GNU General Public License
;; along with this program. If not, see <http://www.gnu.org/licenses/>.
;; File: avl-tree.rkt
;; Author: Collin J. Doering <collin.doering@rekahsoft.ca>
;; Date: Sep 2, 2014
(require "comparable.rkt")
;; Structure representing a Binary Search Tree
(struct bst ())
(struct bst-empty bst () #:transparent)
(struct bst-node bst (val left right) #:transparent)
;; Make a leaf in a binary tree
(define (bst-make-leaf i)
(bst-node i (bst-empty) (bst-empty)))
;; ----------------------------------------------------------------------
;; First a naive approach to binary search trees
;; Specifically these functions do not maintain any balance
;; of the bst and thus are inefficient in many cases
;; Naive bst insert (not balanced)
(define/match (bst-insert-naive t i)
[((bst-empty) _) (bst-node i (bst-empty) (bst-empty))]
[((bst-node v (bst-empty) (bst-empty)) _)
(if (gte i v)
(bst-node v (bst-empty) (bst-make-leaf i))
(bst-node v (bst-make-leaf i) (bst-empty)))]
[((bst-node v l r) _) #:when (gte i v)
(bst-node v l (bst-insert-naive r i))]
[((bst-node v l r) _) #:when (lt i v)
(bst-node v (bst-insert-naive l i) l)])
;; Naive bst delete (not balanced)
;; (define (bst-delete-naive t i)
;; (match t
;; [(bst-empty) t]
;; [(bst-node v l r) #:when (> i v)
;; (bst-node v l (bst-delete-naive r i))]
;; [(bst-node v l r) #:when (lt i v)
;; (bst-node v (bst-delete-naive l i) r)]
;; [(bst-node v l r) #:when (= i v)
;; (match* (l r)
;; [((bst-empty) (bst-empty)) (bst-empty)]
;; [((bst-node v1 l1 r1) (bst-empty)) ???]
;; [((bst-empty) (bst-node v1 l1 r1)) ???]
;; [((bst-node v1 l1 r1) (bst-node v2 l2 r2)) ???])]))
;; ----------------------------------------------------------------------
;; Below is a more effiecient implementation of BST's; specifically using
;; the AVL binary seach tree algorithm.
;; See: https://en.wikipedia.org/wiki/AVL_tree
;; Calculate AVL score for a particular node
(define/match (avl-score t)
[((bst-empty)) 0]
[((bst-node v l r)) (- (bst-height l) (bst-height r))])
;; Rotate a bst
(define/match (bst-rotate dir t)
[((quote left-right) _) (bst-rotate 'left (bst-rotate 'right t))]
[((quote right-left) _) (bst-rotate 'right (bst-rotate 'left t))]
[((quote left) (bst-node v1 l1 (bst-node v2 l2 r2)))
(bst-node v2 (bst-node v1 l1 l2) r2)]
[((quote right) (bst-node v1 (bst-node v2 l2 r2) r1))
(bst-node v2 l2 (bst-node v1 r2 r1))])
;; Balance AVL binary tree
(define (avl-balance t)
(let ([score (avl-score t)])
(match t
[(bst-node v l r) #:when (= score 2)
(cond [(< (avl-score l) 0) (bst-rotate 'right-left t)]
[else (bst-rotate 'right t)])]
[(bst-node v l r) #:when (= score -2)
(cond [(> (avl-score r) 0) (bst-rotate 'left-right t)]
[else (bst-rotate 'left t)])]
[_ t])))
;; Insert into AVL binary tree
(define (bst-insert t i)
(match t
[(bst-empty) (bst-make-leaf i)]
[(bst-node v l r) #:when (eql i v) t]
[(bst-node v l r) #:when (gte i v)
(let* ([r-not (bst-insert r i)]
[rt (bst-node v l r-not)])
(avl-balance rt))]
[(bst-node v l r) #:when (lt i v)
(let* ([l-not (bst-insert l i)]
[rt (bst-node v l-not r)])
(avl-balance rt))]))
;; Delete item from AVL binary tree
(define (bst-delete t i)
'undefined)
(define (bst-search t i)
(match t
[(bst-empty) #f]
[(bst-node v _ _) #:when (eql i v) #t]
[(bst-node v _ r) #:when (gt i v) (bst-search r i)]
[(bst-node v l _) #:when (lt i v) (bst-search l i)]))
(define (bst-flatten t)
(match t
[(bst-empty) '()]
[(bst-node v l r) `(,@(bst-flatten l) ,v ,@(bst-flatten r))]))
(define (bst-height t)
(match t
[(bst-empty) 0]
[(bst-node _ l (bst-empty)) (+ 1 (bst-height l))]
[(bst-node _ (bst-empty) r) (+ 1 (bst-height r))]
[(bst-node _ l r) (+ 1 (max (bst-height l) (bst-height r)))]))
(define (list->bst xs)
(foldr (lambda (x acc)
(bst-insert acc x))
(bst-empty) xs))
(define (bst-sort xs)
(bst-flatten (list->bst xs)))

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Racket/comparable.rkt View File

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#lang racket
;; (C) Copyright Collin J. Doering 2014
;;
;; This program is free software: you can redistribute it and/or modify
;; it under the terms of the GNU General Public License as published by
;; the Free Software Foundation, either version 3 of the License, or
;; (at your option) any later version.
;;
;; This program is distributed in the hope that it will be useful,
;; but WITHOUT ANY WARRANTY; without even the implied warranty of
;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
;; GNU General Public License for more details.
;;
;; You should have received a copy of the GNU General Public License
;; along with this program. If not, see <http://www.gnu.org/licenses/>.
;; File: comparable.rkt
;; Author: Collin J. Doering <collin.doering@rekahsoft.ca>
;; Date: Sep 11, 2014
(require racket/generic)
;; (provide (contract-out
;; [bst-make-leaf (-> any bst-node?)]
;; [bst-insert (-> bst-node? any)]))
;; Define a generic interface for orderable things (thatis things that can be sorted)
(define-generics orderable
[lt orderable other]
[lte orderable other]
[gt orderable other]
[gte orderable other]
[eql orderable other]
#:defaults ([number?
(define lt <)
(define lte <=)
(define gt >)
(define gte >=)
(define eql =)]
[string?
(define lt string-ci<?)
(define lte string-ci<=?)
(define gt string-ci>?)
(define gte string-ci>=?)
(define eql equal?)]))

+ 44
- 0
Racket/macros.rkt View File

@ -0,0 +1,44 @@
#lang racket
;; (C) Copyright Collin J. Doering 2014
;;
;; This program is free software: you can redistribute it and/or modify
;; it under the terms of the GNU General Public License as published by
;; the Free Software Foundation, either version 3 of the License, or
;; (at your option) any later version.
;;
;; This program is distributed in the hope that it will be useful,
;; but WITHOUT ANY WARRANTY; without even the implied warranty of
;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
;; GNU General Public License for more details.
;;
;; You should have received a copy of the GNU General Public License
;; along with this program. If not, see <http://www.gnu.org/licenses/>.
;; File: macros.rkt
;; Author: Collin J. Doering <collin.doering@rekahsoft.ca>
;; Date: Aug 28, 2014
;; Description: various implementions of macros for learning purposes
(require (for-syntax syntax/parse))
(define-syntax my-while
(syntax-rules ()
[(my-while n body ...)
(if (and (integer? n) (>= n 0))
(letrec ([f (lambda () body ...)]
[g (lambda (i)
(cond [(= i 0) (f)]
[else (begin
(f)
(g (- i 1)))]))])
(g n))
(error"Must be a positive integer"))]))
(define-syntax mylet
(syntax-rules ()
[(mylet ([var rhs] ...) body ...) ((lambda (var ...) body ...) rhs ...)]))
(define-syntax (mylet2 stx)
(syntax-parse stx
[(_ ((var:id rhs:expr) ...) body ...+) #'((lambda (var ...) body ...) rhs ...)]))

+ 39
- 15
Racket/rdm.rkt View File

@ -17,6 +17,13 @@
(factorial-helper n 1)
(error "Expects argument to be an integer!")))
;; factorial function written using pattern matching
(define (factorial1 n)
(define/match (fac i acc)
[(0 _) acc]
[(n _) (fac (- n 1) (* n acc))])
(fac n 1))
(define factorial!
(letrec ([fact-helper (lambda (n acc)
(if (<= n 1) acc (fact-helper (- n 1) (* acc n))))]
@ -146,6 +153,12 @@
[else (interval-helper (+ i 1) j (cons i acc))]))
(reverse (interval-helper i j empty)))
(define (repeat f n)
(define (rep i acc)
(cond [(<= i 0) acc]
[else (rep (- i 1) (cons (f) acc))]))
(rep n '()))
;; common poduct interval
(define (cp-interval i j m)
(map (lambda (x) (if (= x 0) x (* m x))) (interval i j)))
@ -247,21 +260,11 @@
(let ([f (/ n (expt 10 (+ i 1)))])
(floor (* 10 (- f (floor f))))))
(define (merge xs ys)
(cond [(and (empty? xs) (empty? ys)) empty]
[(empty? xs) ys]
[(empty? ys) xs]
[(< (first xs) (first ys)) (cons (first xs) (merge (rest xs) ys))]
[(equal? (first xs) (first ys))
(cons (first xs) (cons (first ys) (merge (rest xs) (rest ys))))]
[else (cons (first ys) (merge xs (rest ys)))]))
(define (merge-sort xs)
(cond [(empty? xs) empty]
[(empty? (rest xs)) xs]
[else (merge (merge-sort (take xs (quotient (length xs) 2)))
(merge-sort (drop xs (quotient (length xs) 2))))]))
(define (random-list n)
(define (randlst i acc)
(cond [(<= i 0) acc]
[else (randlst (sub1 i) (cons (random n) acc))]))
(randlst n '()))
(define (append-all a b)
(cond [(and (list? a) (list? b)) (append a b)]
@ -295,3 +298,24 @@
(my-flatten2-h (rest xs) (append (my-flatten2-h (first xs) '()) acc))]
[else (my-flatten2-h (rest xs) (cons (first xs) acc))]))
(reverse (my-flatten2-h xs '())))
(define (rpn-calc xs)
(define (symbol->operator s)
(cond [(eq? s '+) +]
[(eq? s '-) -]
[(eq? s '*) *]
[(eq? s '/) /]))
(define (symbol-urinary-op? s)
(cond [(eq? s '!) #t]
[else #f]))
(define (symbol-urinary->op s)
(cond [(eq? s '!) (lambda (n) (foldr * 1 (if (>= n 0) (range 1 (+ n 1)) (range n 0))))]))
(define/match (rpn ys acc)
[('() (cons a '())) a]
[('() _) (error "Not a valid RPN expression")]
[((cons y ys) acc) #:when (number? y) (rpn ys (cons y acc))]
[((cons y ys) (cons a acc)) #:when (symbol-urinary-op? y)
(rpn ys (cons ((symbol-urinary->op y) a) acc))]
[((cons y ys) (cons a1 (cons a2 acc))) #:when (symbol? y)
(rpn ys (cons ((symbol->operator y) a2 a1) acc))])
(rpn xs '()))

+ 26
- 0
Racket/simple-searches.rkt View File

@ -0,0 +1,26 @@
#lang racket
;; (C) Copyright Collin J. Doering 2014
;;
;; This program is free software: you can redistribute it and/or modify
;; it under the terms of the GNU General Public License as published by
;; the Free Software Foundation, either version 3 of the License, or
;; (at your option) any later version.
;;
;; This program is distributed in the hope that it will be useful,
;; but WITHOUT ANY WARRANTY; without even the implied warranty of
;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
;; GNU General Public License for more details.
;;
;; You should have received a copy of the GNU General Public License
;; along with this program. If not, see <http://www.gnu.org/licenses/>.
;; File: simple-searches.rkt
;; Author: Collin J. Doering <collin.doering@rekahsoft.ca>
;; Date: Sep 11, 2014
(define (list-search-naive x ys)
(match ys
['() #f]
[(cons a bs) #:when (equal? x a) #t]
[(cons _ bs) (list-search-naive x bs)]))

+ 64
- 0
Racket/simple-sorts.rkt View File

@ -0,0 +1,64 @@
#lang racket
;; (C) Copyright Collin J. Doering 2014
;;
;; This program is free software: you can redistribute it and/or modify
;; it under the terms of the GNU General Public License as published by
;; the Free Software Foundation, either version 3 of the License, or
;; (at your option) any later version.
;;
;; This program is distributed in the hope that it will be useful,
;; but WITHOUT ANY WARRANTY; without even the implied warranty of
;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
;; GNU General Public License for more details.
;;
;; You should have received a copy of the GNU General Public License
;; along with this program. If not, see <http://www.gnu.org/licenses/>.
;; File: simple-sorts.rkt
;; Author: Collin J. Doering <collin.doering@rekahsoft.ca>
;; Date: Sep 11, 2014
;; Insert a element into a sorted list
(define (insert i lst)
(cond [(empty? lst) (list i)]
[(>= i (first lst)) (cons (first lst) (insert i (rest lst)))]
[(< i (first lst)) (cons i lst)]))
;; Implementation of insertion sort
(define (insert-sort lst)
(define (isort xs acc)
(cond [(empty? xs) acc]
[else (isort (rest xs) (insert (first xs) acc))]))
(isort lst '()))
;; Implementation of selection sort using immutable data
(define (selection-sort xs)
(define (selsort xs acc)
(cond [(empty? xs) acc]
[else (selsort (remove (apply min xs) xs) (cons (apply min xs) acc))]))
(reverse (selsort xs '())))
;; Merge two lists such that order is maintained
(define (merge xs ys)
(cond [(empty? xs) ys]
[(empty? ys) xs]
[(< (first xs) (first ys)) (cons (first xs) (merge (rest xs) ys))]
[(equal? (first xs) (first ys))
(cons (first xs) (cons (first ys) (merge (rest xs) (rest ys))))]
[else (cons (first ys) (merge xs (rest ys)))]))
;; The merge function re-written using pattern matching instead of cond
(define/match (merge as bs)
[('() _) bs]
[(_ '()) as]
[((cons x xs) (cons y _)) #:when (< x y) (cons x (merge xs bs))]
[((cons x xs) (cons y ys)) #:when (= x y) (cons x (cons y (merge xs ys)))]
[((cons x _) (cons y ys)) #:when (> x y) (cons y (merge as ys))])
;; Implementation of merge sort
(define (merge-sort xs)
(cond [(empty? xs) empty]
[(empty? (rest xs)) xs]
[else (merge (merge-sort (take xs (quotient (length xs) 2)))
(merge-sort (drop xs (quotient (length xs) 2))))]))

+ 23
- 0
Shell/rdm.sh View File

@ -0,0 +1,23 @@
#!/bin/sh
# (C) Copyright Collin J. Doering 2014
#
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program. If not, see <http://www.gnu.org/licenses/>.
# File: rdm.sh
# Author: Collin J. Doering <collin.doering@rekahsoft.ca>
# Date: Jun 5, 2014
# odd numbers in sed
sed -n '=; n'

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