
    ⮡     2  ࢮ 㫥  
  4  ன, 筮 ࠭  ⠡ ⮢
㦥   2   4 祭 (.. 楫  
祭):

                         2     2     2
                    (x+y)     x     y 
              xy ~=   -    -   ,   (3)
                      2       2     2 

                        2        2
                   (x+y)    (x-y) 
              xy =   -  .         (4)
                     4        4   

     㤥 믮 ॥,   砥
ᯮ짮  (3) ⠭  ( , 
 㤥 , ⮫쪮 ᫨ x  y ; १  ⮬
砥 㤥  1  ⨭).   㫥 (4),
 ⬥祭  [23],     ⮣,  ஡
 (x+y)^2/4  (x-y)^2/4 ࠢ (⢨⥫쭮, ந
楫 ᥫ x  y - ⠪ 楫 ᫮,  ࠧ  ᥫ
(x+y)^2/4  (x-y)^2/4   楫, ⮫쪮   ஡
 ࠢ).
    ,  [23] 㯮,  㫠 (4)  
⠡楩 祭 㭪樨 [z^2/4]  ࠫ 祭 z
ᯮ짮  祭 㬭  ᥫ 
 ⥭ ⠡ 䬮.

    ⮡ ३  ᯮ짮  (2)  㫥 (4),
筮   ਢ񭭮  楤  
१  4 ( 祭 ਥ "!!").  ⮬
 楤 ᮪  6 ⮢,  ६ 믮
㬥  24 ⠪ (  20%  ࠢ  室
ਠ⮬ 楤).

     㣨 ॠ ண 㬭   ⠡
⮢.
     [3] ਢ 楤 㬭  8- ᥫ,
᢮  ࠭祭 "㬬 ᮬ⥫  256",  
ࠧ ,   믮 :  141-207 ⠪⮢.
     ᠥ 8-  ᥫ (-128..127), 
 楤  㬭    [10].  
ਢ  楤 ண 筮 㬭 
ᯮ짮  xy=(y+(x/2-y/2))^2-(x/2-y/2)^2.
     [24] ⠪ ਢ 楤 㬭  8- 
6-  ᥫ.

     ⮢ ᥫ ࠧ來 n ᮤন 2^n 祭,
    n/4 ⮢.  8-ࠧ來 ᥫ
ࠧ ⠡ ࠢ 512 ⠬,   16-ࠧ來 ᥫ
 㦥 65536*4=262144 !  ⠡, 祢,
   㬥.   ?  ⮬ 砥 
।⠢ ந ᥫ ࠧ來 n   㬬
ந ᥫ ࠧ來 n/2.
       ६  16-ࠧ來 ᫠ x  y.
   8-ࠧ來 : x1 -   x, x2 -
; y1  y2 - 筮. 稬:

   xy = (256x1+x2)(256y1+y2) = 65536x1x2+256(x1y2+x2y1)+x2y2.

    ᫨ 㦭 ⢮ 筮  襭 ᪮,
᫥ ᫠  ७:   祭
ᮬ⥫  ﭨ  १ ⥫쭮. 
㬭  16-ࠧ來 ᥫ ᢥ  ᫮ 
ந 8-ࠧ來 ᥫ.

    ନ஢ ⠡ ⮢ ᥫ  0  255,
室  㬭, - ⤥  . 
࠭  ⠡  ᨪ     ணࠬ,
  祭 . ࠧ 룮 ᮧ ⠡
।⢥  ᥬ.  ⮬ ᫥ ६ 
⮬, ⮡ 楤  ᮧ 뫠   . ६
 ࠡ  ⠪ ,  筮  뢠   ࠧ
  ६ ࠡ ணࠬ (, ⮣  
易⥫쭮 ଫ ⤥ 楤  뢠  
 CALL - 룮 ।⢥ ⠢   ⥪
ணࠬ,   ⮬  ).
     ᮧ ⠡ ᯮ ᫥饥 ᢮⢮:
 ᫠ n ࠢ 㬬 n ᫥⥫쭮  
ᥫ: ⠪, ਬ, 4^2 = 1+3+5+7 = 16.  ࠧ,
ਡ । ⭮ ᫮,  稬 ।
祭 .
     [9] ਢ 16- ࠣ ணࠬ, 祭 
ᮧ騩 ⠡ ⮢,   ⮬ ந
樨  ⥪, ⠡ 砥 ॢ⮩, 
塠 祭 ⮢ ࠧ   ,  
६   ண 㯠  ⠡ 室, ⮡
訥  ⮢ 室   256  ⠡,
 訥 -  ᫥ 256 ( ).
     [3] ਢ  20 ⮢ 楤, ᮧ
 ࠧ ⠪ ⠡,  .  ࠧ᫨, 
᮪⨫      (  20-⭮ 楤 
 -  !).  ⮬   ਠ 楤,  ⫨稥
 ਣ쭮,  ᯮ ॣ஢  BC. ⠪, :

MK_SQ_TAB  XOR  A
           LD   H,A
           LD   L,A
           LD   E,A

M2         LD   D,TABL_SQR/256
           EX   DE,HL
           LD   (HL),E
           INC  H
           LD   (HL),D
           EX   DE,HL
           LD   D,A    ;=LD D,0.
           ADD  HL,DE
           INC  E
           ADD  HL,DE  ; 䫠 Z  .
           JR   NZ,M2

           RET

    , ⠪ ⠡ 뢠 㦭  ⮫쪮  㬭
   ,   (  㢨  쭥襬) 
ண 宦 ⭮ ,  ⠪  ਡ񭭮
᫥ ᨭ  ᨭ.
    ᫨ 㦭 ந ⠡ ⮢,   2  4,
 楤   , ᤢ騥 १
ᮮ⢥⢥     ࠧ鸞 ࠢ:

MK_SQ_TAB2 XOR  A
           LD   H,A
           LD   L,A
           LD   E,A

M2         LD   D,TABL_SQR/256+1
           EX   DE,HL
           LD   (HL),D
           LD   A,E

; १  2:

           SRL  (HL)
           RRA

; ࠧ   2 (᫨   祭,
;  4):

           SRL  (HL)
           RRA

           DEC  H
           LD   (HL),A
           EX   DE,HL
           LD   D,0
           ADD  HL,DE
           INC  E
           ADD  HL,DE  ; 䫠 Z  .
           JR   NZ,M2

           RET

    ਬ ⥯    ᯮᮡ ண 㬭,
ᠭ  [2].  쭮 ᪨ ᯮᮡ ᭮ 
ᯥ樠쭮 ଥ ।⠢ ᥫ -   ⪠.
       ந ᫥  ᫠  
 0  N-1. 롥६ ᪮쪮   ᥫ s1, s2,...,
sm  ⠪ ⮬, ⮡  ந 뫮   N:

                     s1*s2*...*sm >= N.

      ᫮  筮  ⪠ 
  s1, s2,..., sm. ᬮਬ   ਬ: 
N=30,   ⢥   ᥫ s1, s2,... ࠭ 2, 3
 5 ( ⮬ ᫮ s1*s2*s3>=N,  , 믮).
      30 ᥫ  ⪠    2, 3  5
ਢ . ࢠ    - ⮪    5,
 -  3,  -  2 (祬,  뫮   
 㣮 冷 ).

   Ŀ
    ᫮    ⪠  ᫮    ⪠ 
   Ĵ
      0          000           15          001         
      1          111           16          110         
      2          220           17          221         
      3          301           18          300         
      4          410           19          411         
      5          021           20          020         
      6          100           21          101         
      7          211           22          210         
      8          320           23          321         
      9          401           24          400         
     10          010           25          011         
     11          121           26          120         
     12          200           27          201         
     13          311           28          310         
     14          420           29          421         
   
                            . 1

     ⮨⢮ ⠪ ᯮᮡ ।⠢ ᥫ
⮨  ⮬,  ᫮, ⠭  㬭 뢠
묨 ࠧ來묨 ﬨ. ⮡ ᫮ (,
㬭)  ᫠, 筮 ᫮ (, 㬭)
祭    ࠧ冷   ⮣ ࠧ鸞.

     , ਬ,  㬭 9  3:

                  9  ⪠ - 401,
                  3  ⪠ - 301.

    믮塞 㬭   ࠧ鸞:

                  4*3=12,    5 - 砥 2,
                  0*0=0,
                  1*1=1.

    稫 祭 201, ᬮਬ  ⠡ -   ,
 ᮮ⢥  27.  ,  쭮 .

    ⮡ ࠡ  ᫠   0-255, 㤮 
  ᫠ 2, 11  13. 祬  ࠫ   
᫠? ᫮ 2 - ⮬   㬭 ⪮ 0, 1 
 2  ⢫ ।⢥  AND,  
᫠ 11  13 ࠭  訥,   ந
  ᥫ  256 (2*11*13=286).
    ᫥ 楤 㦨  ⮣, ⮡ ।⠢
᫮  ⪠.  㢥祭 ᪮ ࠡ  ᯮ
 256- ⠡, ᯮ騥     㣮
 稭騥   TMOD, ⭮ 256.  ࢮ ⠡
ਢ ⪨   ᥫ 0-255  11,  ன -
⪨    13. ନ  ⠡ 쬠 :
ࢠ 横᪨  ᫠ 0,1,2,...,10,   -
᫠ 0,1,2,...,12.

室 : A - ८ࠧ㥬 ᫮.
室: A,D,E - ⪨   ⮣ ᫠  2, 11, 13.
: 9 ⮢ - ᠬ 楤 + 512 ⮢ - ⠡.
६: 46 ⠪⮢.

    LD  H,TMOD/256 ;訩   ࢮ ⠡.
    LD  L,A        ;᫮ 㦨 ᮬ  ⠡.
    LD  D,(HL)     ;D - ⮪    11.
    INC H          ;諨  ன ⠡.
    LD  E,(HL)     ;E - ⮪    13.
    AND 1          ;A - ⮪    2.
    RET            ;室.

     楤 믮   -
⠭ ᫮ A  ⪠    2, 11  13
(稬  A mod 2, A mod 11  A mod 13).  ⮣
ᯮ 512-⭠ ⠡ TABL_CR, 稭 
⭮ 256 ,  ன  ᬥ饭 (A mod 2)*256+(A mod
11)*16+(A mod 13) 室 ᫮ A.  ண 㬭 
16 ᯮ ⠡ TABL_M16, ⠪ 稭  ⭮
256 .

室 : B,L,A - ⪨    2, 11, 13.
室: A - ᫮.
: 10 ⮢ - ᠬ 楤 + 768 ⮢ - ⠡.
६: 50 ⠪⮢.

    LD  H,TABL_M16/256 ;訩   ⠡ TABL_M16.
    ADD A,(HL)         ; (HL) 室 (A mod 11)*16.
    LD  L,A            ;L:=(A mod 11)*16+(A mod 13).
    LD  A,TABL_CR/256  ;ਡ塞  襬  
    ADD A,B            ;⠡ TABL_CR 祭 (A mod 2).
    LD  H,A            ; HL -   ⠡.
    LD  A,(HL)         ;  ⠡ ᫮.
    RET                ;室.

       ,  祣    ⥢, - 楤
㬭  ᥫ  ⪠.  , ⭮ 256,
室 㦥 ᬮ७ ࠭ ⠡ TABL_M16;  ,
 256 襣, ᯮ ⠡  ண 㬭
ᥫ   11,  ன  ᬥ饭 16x+y 室
祭 xy mod 11;  , 襣   256 ⮢,
ᯮ 筠 ⠡  㬭   13.

室 : B,D,E - ⪨   1- ⥫  2, 11, 13;
       A,C,L - ⪨   2- ⥫  2, 11, 13.
室: B,D,E - ⪨   ந  2, 11, 13.
: 17 ⮢ - ᠬ 楤 + 768 ⮢ - ⠡.
६: 85 ⠪⮢.

    AND B      ;᫨ ⮪   ந  2
    LD  B,A    ; ⨫  B.

    LD  H,TABL_M16/256
    LD  A,E
    OR  (HL)
    LD  E,A    ; E ⥯ 室 ⪨  
               ;ᮬ⥫  13 ( 㯠 ଥ).
    LD  L,D
    LD  A,C
    OR  (HL)
    LD  L,A    ;筮,  L - ⪨    11
               ; 㯠 ଥ.
    INC H
    LD  D,(HL) ; ⪨    11  
               ;⠡.
    LD  L,E
    INC H
    LD  E,(HL) ;  㯠   ⪠    13.

    RET        ;室.

     믮 筮 㬭, -, ⠪
⮤  :  ८ࠧ ᥫ  ⪨  ⭮
㩤  ६, 祬  ᠬ 㬭.   ᫨ 
ந  楯 ᫥, ८ࠧ १
  ,  ६   쬠 ⥫쭮.





        ⥯  (2, 4, 8...).  [1]
㯮,  ⠪  㤮 믮   
᪮ ᤢ:   室   -
SRL A;   室  ॣ஢  HL - SRL H:
RR L,  ⠪ .   , ,  ᯮᮡ 
⢥ ⨬஢.   祣?
     ⥬  Z80    樨 (..
横᪮ ᤢ) ᫠, 室饣  : RLCA,
RLA, RRCA  RRA.   ந  ࠢ/,
  १ 䫠 CY.  ᮡ  ⮬,  
     믮   ⠪,  
६   ⠫  ᤢ  樨 ॣ஢ (
⮬ ᫥  SRL)      믮 
ᥬ ⠪⮢.  ,    㤠 ᯮ짮
   ⪨     , 
 祣  砥 먣   / த⢨
ணࠬ.

      室  .    
ᯮ  SRL A (2 /8 ⠪⮢),   饬 砥
 祣  .  ᫨ ⭮,  䫠 CY 襭,
筮 ਬ  RRA (1 /4 ⠪). ᫨
ﭨ CY  ⭮,   ,   ⭮, 
ᯮ짮    RRCA (  1 /4 ⠪).
      ⠢ ᪮쪮  SRL A , ⮡
ࠧ 祭   4, 8, 16... -  룮!
   4, 8  16 ᯮ  RRCA,   
 32, 64  128 ᤢ   ⭮ ࠢ
 RLCA, ⠪  饥 ᫮ ᤢ  ⮬ 㤥
. ⥬  AND 㫨 訥  १.

    ਬ:    .

        뫮:  SRL A         ;2 , 8 ⠪⮢
               SRL A         ;2 , 8 ⠪⮢
               
               ⮣:         4 , 16 ⠪⮢

       ⠫:  RRCA          ;1 ,  4 ⠪
               RRCA          ;1 ,  4 ⠪
               AND %00111111 ;2 , 7 ⠪⮢
               
               ⮣:         4 , 15 ⠪⮢

     ⮬ ਬ 먣 ⠢   ⠪.  
  8, 16  ..  먣ࠥ    ணࠬ,  
᪮  믮. ᫨ 㦭 믮  
 ,  ࠭  ன ࠭ 
AND  ॣ  ⥬    AND 1 /3 ⠪.
  ᫨ ⭮,   㤥 楫,  AND 
 㦭.

      室   ,   -
㣮 ॣ  祩 .  뢠 룮 ᭠砫
᫠   , 믮 ,  ⥬
᫠ १ ⭮.

    ਬ:  ॣ E  32.

        뫮:  SRL E         ;2 ,  8 ⠪⮢
               SRL E         ;2 ,  8 ⠪⮢
               SRL E         ;2 ,  8 ⠪⮢
               SRL E         ;2 ,  8 ⠪⮢
               SRL E         ;2 ,  8 ⠪⮢
               
               ⮣:        10 ⮢, 40 ⠪⮢

       ⠫:  LD  A,E       ;1 ,   4 ⠪
               RLCA          ;1 ,   4 ⠪
               RLCA          ;1 ,   4 ⠪
               RLCA          ;1 ,   4 ⠪
               AND %00000111 ;2 ,  7 ⠪⮢
               LD  E,A       ;1 ,   4 ⠪
               
               ⮣:         7 ⮢, 27 ⠪⮢

    祬, ᫨   8-⭮ ࠭   
樨  ᤢ -  ७樨,  㦥   
  믮 ॥   ⠡筮 ᯮᮡ.

    ᬮਬ ⥯  ਠ ⨬樨  ,
  ᯮ  ॣ஢ .   
8, 16, 32... 룮 㯨 ⠪: ᭠砫 ᫠ 訩
   ,  ⥬ ᤢ 訩 
 SRL,  訩 - ன  RRA. ᫥ 砭
 訩  뫠   ⭮.

    ਬ:  HL  8.

            뫮:  SRL H   ;2 ,  8 ⠪⮢
                   RR  L   ;2 ,  8 ⠪⮢
                   SRL H   ;2 ,  8 ⠪⮢
                   RR  L   ;2 ,  8 ⠪⮢
                   SRL H   ;2 ,  8 ⠪⮢
                   RR  L   ;2 ,  8 ⠪⮢
                   
                   ⮣:  12 ⮢, 48 ⠪⮢

           ⠫:  LD A,L  ;1 ,   4 ⠪
                   SRL H   ;2 ,  8 ⠪⮢
                   RRA     ;1 ,   4 ⠪
                   SRL H   ;2 ,  8 ⠪⮢
                   RRA     ;1 ,   4 ⠪
                   SRL H   ;2 ,  8 ⠪⮢
                   RRA     ;1 ,   4 ⠪
                   LD L,A  ;1 ,   4 ⠪
                   
                   ⮣:  11 ⮢, 44 ⠪

    ⮡  ⮪    2^n, 筮 ⠢
 AND 訥 n ⮢ . ਬ, ⮪ 
   8 (8=2^3)   AND %111.

    ᪮쪮 ᫮     ⥯ . 
 8-⭮ ࠭ ᯮ  䬥᪮
ᤢ ࠢ SRA,  ᯮᮡ   樨 , 
ᮦ,   (, ᫨  ࠭ ⥭...).
 16-⭮ ࠭  ᯮ짮   
⨬樨,      (. ਬ ),
⮫쪮   SRL 㤥 SRA.

    ,  ᤢ. ⨬,   ࠧ 
᫮, 室饥  祩    (IX+7),  , 
⥬ 㧨 १  .  ᤥ ⠪:

               SRL (IX+7)    ;4 ,  23 ⠪
               LD  A,(IX+7)  ;3 ,  19 ⠪⮢
               
               ⮣:         7 ⮢, 42 ⠪

 ࠧ 룮 ᤥ   :

               SRL A,(IX+7)  ;4 , 23 ⠪

    "-  ਯ ⠪ " - ᪠ -,  㤥
-᢮ ࠢ. ⢨⥫쭮,  ᠭ ⥬  Z80 
  :   㬥஢.  ਢ 
ᯨ᮪ 㬥஢ ,  믮 ᤢ
  ᫠  祩 , 㥬 (IX+s)  (IY+s),
 ⮬ 㧨 १    ॣ஢ A,B,C,D,E,H,L.

            Ŀ
                       設     
            Ĵ
             RLC reg,(IX+s)  #DD #CB s %00000reg 
             RLC reg,(IY+s)  #FD #CB s %00000reg 
             RRC reg,(IX+s)  #DD #CB s %00001reg 
             RRC reg,(IY+s)  #FD #CB s %00001reg 
             RL  reg,(IX+s)  #DD #CB s %00010reg 
             RL  reg,(IY+s)  #FD #CB s %00010reg 
             RR  reg,(IX+s)  #DD #CB s %00011reg 
             RR  reg,(IY+s)  #FD #CB s %00011reg 
             SLA reg,(IX+s)  #DD #CB s %00100reg 
             SLA reg,(IY+s)  #FD #CB s %00100reg 
             SRA reg,(IX+s)  #DD #CB s %00101reg 
             SRA reg,(IY+s)  #FD #CB s %00101reg 
             SLI reg,(IX+s)  #DD #CB s %00110reg 
             SLI reg,(IY+s)  #FD #CB s %00110reg 
             SRL reg,(IX+s)  #DD #CB s %00111reg 
             SRL reg,(IY+s)  #FD #CB s %00111reg 
            
                            . 2

     㪠  ⠡  믮  23 ⠪. 
設   reg ⠢   111,000,001,
010,011,100  101 ᮮ⢥⢥  ॣ஢ A,B,C,D,E,H,L.
᫨  ⠢   110 -  筠,
㬥஢ ࠧ .   
᭨?  믮  ᤢ  樨 ᮤন
祩  Z80 뢠 㤠   - ॣ,
믮 㦭 ⢨ (ᤢ  ),  ⥬
뢠 १    祩 .  ⮬  ॣ
१ .  ,   110 ᮮ⢥
ᯥ樠쭮 "㦥", ⮬  짮⥫ ॣ
Z80, ⮬   ,     室饥
  ᫮,   ᮤন ॣ஢.   ᫨ 
⢥ "㦥" ᯮ짮    ॣ஢,
 ⢨  㤥  ᮤন ⮣
ॣ.
     祣  㪠  ⠡ 設  ?  
⮬,  設⢮ ᥬ஢ (᫨  )   ⠪
,  室 뢠 㦭   
४⨢ DB (define byte). , ਬ,  㤥 ᠭ
㦥 㯮  SRL A,(IX+7):

                     DB #DD,#CB,7,%00111111

    -⫠稪 STS  ᥬ஢ 뢮
  㬥஢ ,   
 .
    , , ୮, ⨫  ⠡   -
SLI.   ᠬ  ᥡ  㬥஢ 
⢫ ᤢ    1  訩 ࠧ (
, 㬭 ࠭    ६ ਡ
).     .  SLI
ন 設⢮ ᥬ஢  ⫠稪 STS.
(  祭 ⮩  ᯮ  SLL
 SLIA.)

    ਬ ⥯  ஬   
⠭,   ⥯ .    ᯮᮡ
⠪ ,  ஬  㧭  宪७樨 DEMO.DESIGN.

      믮 , ᪠,  . ਡ񭭮
 ,   -  8/3 (䠪᪨  8/3 = 2,66...).
 A/3 ~= 3A/8,   㤥 룫拉 ⠪:

           LD   B,A
           ADD  A,A
           ADD  A,B
           RRCA
           RRCA
           RRCA
           AND  %00011111

    31 ⠪ - ॥, 祬  㭨ᠫ쭮 ணࠬ, 
  筮. 祬, ⭮⥫쭠 譮  ⮬
ﭭ,    㬥,   筮 ਡ -
᪠, 3 ~= 16/5.

    ᫨ 楫 - 믮    ॥,  室
  ⮫ ,  ᯮ짮 ⠡ ᯮᮡ. 
 ⢫    ⠭  
256-⭮ ⠡, ࠧ񭭮  , ⭮ 256. 
⮬, ᫨ ࠭  訩   ⠡ 
ॣ H,  㤥 ⢫ ᥣ  11 ⠪⮢:

           LD   L,A
           LD   A,(HL)

    筮  ,   室  㣮
ॣ (ਬ,  C):

           LD   L,C
           LD   C,(HL)
