2012年夏のプログラミング・シンポジウム.indd
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1 IIJ Life Game, Hash.,,,,, [1]. P-1,,,.....,. Programming should be fun. Programs should be beauiful., 2 Paul Graham Lisp ANSI ommon Lisp [2]. P-1 Fourier,. P , ( ) , = , =( ) 2. d, 10 d , , bi , 2 2 k., 2 k. 83
2 EDSA [3] 2., Knuh TAOP(vol 4A, p.143)[4], Warren Hacker s Deligh(p. 8)[5] , 1 3,5,7,11,...,31., 1,. 2 2, , 4. EDSA 35 TAOP 4. μ 0, μ 1, μ 2 μ 0 = μ 1 = μ 2 = TAOP When x = (x 3... x 1 x 0 ) 2 : y x ((x 1)&μ 0 ). { 00 0, 01 1, 10 1, } (Now y = (u u 1 u 0 ) 4, where u j = x 2j+1 + x 2j.) y (y&μ 1 ) + ((y 2)&μ 1 ). (Now y = (v v 1 v 0 ) 1, v j = u 2j+1 + u 2j.) y (y + (y 4))&μ 2. {2..} (Now y = (w 7... w 1 w 0 ) 25, w j = v 2j+1 + v 2j.) ν ((a y)mod2 4 ) 5, where a = ( ) 25.,. 8 bi 8 bi 8 bi w7 w1 w0 w7+ +w w1+w0 w Hacker s Deligh., EDSA, HAKMEM 19. in pop(unsigned x){ unsigned n; n = (x >> 1 ) & 0x ; x = x - n; n = (n >> 1) & 0x ; x = x - n; n = (n >>1) & 0x ; x = x - n; x = (x + (x >> 4) & 0x0F0F0F0F; x = x * 0x ; reurn x >> 24; } 4. x 1 n, 2 1 x. x = 8a 3 + 4a 2 + 2a 1 + 1a 0 n = 4a 3 + 2a 2 + 1a 1 n = 2a 3 + 1a 2 n = 1a 3 a 3 + a 2 + a 1 + a 0. TAOP x ((x 1)&μ 0 ).,. HAKMEM. 84
3 2 8-1 w7 w1 w0 w7+ +w f(x) = w 7 x 7 + w x + + w 1 x + w 0 (x α) f(α). x = 2 8, α = 1 f(2 8 ) = w w w w 0 (2 8 1) f(1). f(1) = w 7 + w + + w 1 + w 0. 8 w 7, w,, w 1, w ,, w 7 + w + + w 1 + w 0.., MMIX SA, MMIX, PU. Pname lis van der Poel PDP-8 Lisp, G. PDP , 409. Lisp 2K, 2K,. Lisp,. PDP-8 2. cdr 0., G. G. G, nil. NI L AP PL Y AP VA L AS SO AT OM A R D R O ND O NS Sack Poiner TE RP RI PDP8 Lisp. Lisp. Lisp,.,... von Neumann von Neumann []
4 . AND A B D E F b0 1 A B D E F b a a 9.,. ( ) ( ) ( ) ( ) (( ) ( ) ( ) ( )) boolean rexcied(in r,in u,in l,in d) {reurn((r==14) (u==15) (l==12) (d==13));} boolean aexcied(in r,in u,in l,in d) {reurn((r!=10)&&(u!=11)&&(l!=8)&&(d!=9)&& (rexcied(r,u,l,d)));} case 4: if(sexcied(r,u,l,d)) {i=1;} else if(aexcied(r,u,l,d)){i=5;} else {i=4;} break; odd odd [7] 8, Moore., c, 4 urdl( ) s s S curren sae S02120 neibours nex sae,. urdl 3bi, 32bi bi urdl c word 4. in [] langonab = 8
5 0x000000,0x000012,0x000020,0x000030,0x000050,0x00003, 0x000071,0x000112,0x000122,0x000132,0x000212,0x000220, 0x000230,0x00022,0x000272,0x000320,0x000525,0x00022, 0x000722,0x001022,0x001120,0x002020,0x002030,0x002050,...,. n=(ab[(u<<9) (r<<) (d<<3) l]>>(c*4))&7;. Life Game onway Life Game, Gardner Scienific American [8]. Processing., TAOP W. F. Mann D. Sleaor, 8 8, 1. x xw x x N x S x x E x FA HA FA S1= + z 1 z 2 z 3 z 4 z 5 z FA z 7 z x = X () j 1, x = X() j x + = X () j+1, a x &x + (= z 3 ), b x x + (= z 4 ), c x b, d c 1 (= z ), c c 1 (= z 2 ), e c d, c c&d, f b&e, f f c (= z 7 ), e b e (= z 8 ), c x&b, c c a, b c 1 (= z 5 ), c c 1 (= z 1 ), d b&c, c b c, b a&f, f a f, f d f, c b c, f f c (= S 1 (z 1, z 3, z 5, z 7 )), e e x, f f&e f. (z 1 z 2 ) 2 = x nw + x w + x sw z 2. z z 4,, z 3, 1 2. z z 5. (z 7 z 8 ) 2 = z 2 + z 4 + z, z 8 x. z 7, 2 3. S 1, 4, S 1 (z 1, z 3, z 5, z 7 ) 1, , , , , 1 2 3, 0. 2, 1 2, , , x 1, x OK. x 0, z 8 1, 3 1, x 1.. MIT Scheme. bi-sring. or, or!. 1 << >>, bi-sring. 87
6 (define (b x- x x+) (le* ( (<< (lambda (a) (bi-sring-append (make-bi-sring 1 #f) (bi-subsring a 0 (- (bi-sring-lengh a) 1))))) (>> (lambda (a) (bi-sring-append (bi-subsring a 1 (bi-sring-lengh a)) (make-bi-sring 1 #f)))) (& bi-sring-and) (! bi-sring-or) (^ bi-sring-xor) (a0 (& x- x+)) (b0 (^ x- x+)) (c0 (^ x b0)) (d0 (>> c0)) (c1 (<< c0)) (e0 (^ c1 d0)) (f1 (! (& b0 e0) (& c1 d0))) (c4 (! (& x b0) a0)) (b1 (<< c4)) (c5 (>> c4))) (& (^ (! (& b1 c5) (! a0 f1)) (! (& a0 f1) (! b1 c5))) (! (^ b0 e0) x)))) HashLife Gosper, Life Game (HashLife) [9]. Macrocell n 0 2 n 2 n.,,,, 2 n 1 2 n 1 4 Macro-cell, 2 n 2 2 n 1 2 n 1 Macro-cell(Resul ) 5. Macro-cell 2 n 2 n = Resul +2 n-2 n, Resul. n = 0 4, 1 0. N N R N R R S R W W R E R E W E R S R R A B S R R D E R R F G n = 3 Macro-cell A Macro-cell, Resul G Macro-cell. A 4 4,,, Resul R, R, R, R.,. 88
7 4,,, Macro-cell, Resul R.,,, Macro-cell N, E, S, W Resul.. 9 Resul, D. D 4 4,,,, ( E), 4 Resul (F). G, A Resul. h(ne,se,sw,nw) qindex hindex RES ne se sw nw res. Beauiful ode TAOP Hacker s Deligh., 1.,.. IBM THINK.. : 2. 1, 2.. Edgar Dijksra., 1. ; 2. ; 3. ;., 1. Reingold alendrical alcuraion, Gregorio , y m d, 35 y 1. m, d,.,, m, y y 1.,. The Ar of ompuer Programming Knuh G (Y mod 19) + 1 {, 19 Meon } (Y/100) + 1 { } X (3/4) 12 {Gregorian } Z (8 + 5)/25) 5 { (moon) } D 5Y/4 X 10 {3 ( D) mod 7 } E (11G Z X) mod 30 {Epac } if E = 25 and G > 11 or E = 24 hen E E + 1 N 44 E if N < 21 hen N N
8 N N + 7 ((D + N) mod 7) if N > 31 hen (N 31) April else N March Gm1 Y mod 19 {+1. Gm1 G 1.} m1 Y/100 {+1. D X 10 Xp10.} Xp10 X + 10 = 3(m1 + 1)/ = (3m1 5)/4 E (11(Gm1 + 1) Z (Xp10 10)) mod 30 {41 = 11 mod 30} = (11Gm Z Xp10) mod 30 {+11 + Z Zp11.} Zp11 (8(m1 + 1) + 5)/ = (8m1 + 13)/25 E (11Gm1 + Zp11 Xp10) mod 30 if 44 E < 21 ha is if E > 23 hen E E 30 Nm31 N + 7 ((D + N) mod 7) 31 {Nm31 4.} = 44 E + 7 ((D + 44 E) mod 7) 31 = 20 E ((D E) mod 7) = 20 E ((D 5 E) mod 7) Dm5 5Y/4 (Xp10 + 5) {D 5 Dm5 Xp15, Zp1.} Xp15 (3m1 5)/4 + 5 = (3m )/4 = (3m1 + 15)/4 Zp1 (8m1 + 13)/ = (8m )/25 Nm31 20 E ((Dm5 E) mod [1],,,,, 1, 801, (2010) [2] Paul Graham, ANSI ommon Lisp, Prenice Hall, 199 [3] Maurice Wilkes, David Wheeler, Sanley Gill, The Preparaion of Programs for an Elecronic Digial ompuer, 2nd Ediion, Addison-Wesley, [4] Donald E. Knuh, The Ar of ompuer Programming, Volume 4A ombinaorial Algorihms Par1, Addison Wesley, 2011 [5] Henry S. Warren, Jr., Dacker s Deligh, Addison Weslay, 2003 [] John von Neumann, Theory of Self-Reproducing Auomaa, edied and compleed by Auhur W. Burks, Universiy of Illinois Pross, 19 [7] F. E. odd, ellular Auomaa, Academic Press, 198 [8] Erwin R. Berkelamp, john H. onway, Richard K. Guy, Winning Ways for Your Mahemaical Plays, Second Ediion, Volume 4, A K Peers, Ld [9] R. Wm. Gosper, Exploiing Regulariies in Large ellular Spaces, Physica 10D (1984) pp
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Excel ではじめる数値解析 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 初版 1 刷発行時のものです.
Excel ではじめる数値解析 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. http://www.morikita.co.jp/books/mid/009631 このサンプルページの内容は, 初版 1 刷発行時のものです. Excel URL http://www.morikita.co.jp/books/mid/009631 i Microsoft Windows
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論文 多重集合を応用した業務プロセスの記述とデータモデル認識 * 中西昌武 Business Process Description Applied with Bag and Capture of Data Model NAKANISHI, Masatake Chen, P.
4 07 3 論文 多重集合を応用した業務プロセスの記述とデータモデル認識 * 中西昌武 Business Process Descripion Applied wih Bag and Capure of Daa Model NAKANISHI, Masaake Chen, P. [] ER : Eniy-Relaionship Marin, J. [] Finkelsein, C. [3] [4,
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