15 P3 Pm C.Reiter dwin C.Reiter Fractal Visualization and J 4th edition fvj4 J 2D gl2 J addon Appendix (hokusai olympic0.ijs dwin * 1 coinsert *
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1 SHIMURA Masato A J
2 15 P3 Pm C.Reiter dwin C.Reiter Fractal Visualization and J 4th edition fvj4 J 2D gl2 J addon Appendix (hokusai olympic0.ijs dwin * 1 coinsert * 2 require gl2 trig coinsert jgl WEB GIMP LINUX * 3 GIMP 3 Type0 9 Type1 18 Type2 18 * 1 * 2 * 3 2
3 NB Olympic datablock NB. define 3 rectangle RECT0=: 0 0,0 13,13 13,:13 0 RECT1=: 0 0,0 15,9 15,:9 0 RECT2=: 0 0,0 17,4 17,:4 0 _10 _ dwin dpoly RECT dpoly }:"1(RECT1,.1 mp transm dpoly }:"1(RECT2,.1 mp transm 35 0 * Homogeneous Coordinates / 2D / (elongation, (rotation (transformation 2D 3 3 R2=: 0 0,2 0,2 1,1 1,1 3,:0 3 R _10 _ dwin dpoly R2 GRAMMAR: elong / (,: * 4 3
4 r 0 0 (x, y, 1 new = (x, y, 1 0 s elongm=:3 : (y,1* =i.3 elongm }:"1 (R2,.1 mp elongm rotate (x, y, 1 new rotm 3r12p1 cos(t sin(t = (x, y, 1 sin(t cos(t 0 _ rotm=: (cos, sin,0:,(-@sin,cos,0:,: 0:,0:,1: o GRAMMAR: mp mp=: +/. * 0: 1: 0,1 J r p 4r12p1 = 1r3p1 = 1 3 π = 60o 4
5 }:"1 (R2,.1 mp rotm 3r12p _ _ GRAMMAR R2, R2 1 }: 1 "1 (}: =i.2 = 0,1 0,1 =i.2 NB transform (x, y, 1 new = (x, y, a b 1 (<R2,.<}:"1(R2,.1 mp transm 3 5 transm=: 3 : (=i.2, y,1 transm Homogeneous Coordinates 5
6 (elongm mp (rotm 4r12p1 mp transm _ (R2,.1 mp (elongm mp (rotm 4r12p1 mp transm _ _ (Type0 9 Type1,Type ( ( 15 o 15 ± 1r12p1 ( 1 π rotm
7 NB. position and angle NB. Rect0 x9 RC0=:74 14 _1r6p1, _1r6p1,: _1r6p1 RC0=:RC0, , ,: RC0=:RC0, r6p1, r6p1,: r6p1,.{ RC _ _ _ mm elongm GRAMMAR J ( penup,pendown 2.2 Script 45 Script 1. move1=: 4 : 0 NB. Usage: RECT0 move x0 y0 rot =: y ;1r4p1 7
8 }: "1(x,.1 mp (rotm rot mp transm x0,y0 2. draw_olympic=: 3 : 0 NB. draw_olympic dwin dpoly L:0 RECT0 move1 L:0 { RC dpoly L:0 RECT1 move1 L:0 { RC dpoly L:0 RECT2 move1 L:0 { RC2 3. Draw
9 draw_paralympic=: 3 : 0 NB. draw_olympic dwin dpoly L:0 RECTP0 move1 L:0 { PC dpoly L:0 RECTP1 move1 L:0 { PC dpoly L:0 RECTP2 move1 L:0 { PC * 5 (Pm (P3 3.1 Pm 1. (x,y * 5 17 P 9
10 _10 _ dwin dpoly R dpoly - R2 2 x (Pm _10 _ dwin dpoly R dpoly R2 *("1 _ Step Step2 X 0 10
11 X (- mirror=: 4 : 0 NB. 87 mirror RECTP0;PC10 NB. x is centrer of x coordinate RECT POINT =. y POINT=. POINT -("1 x,0,0 tmp=. RECT move1 L:0 { POINT tmp,_1 1 * ("1 L:0 tmp 4. Step3 3 x 0 centerpos=: 4 : y -("1 L:0 x,0, 0 5. ( x 0 6. SCRIPT 11
12 draw_paralympic_mirror=: 3 : 0 NB. so many(9 parameter, write each _ dwin dpoly (L:0 87 mirror RECTP0;PC dpoly (L:0 87 mirror RECTP1;PC dpoly (L:0 87 mirror RECTP2;PC12 NB dpoly L:0 RECTP0 move1 L:0 { 87 centerpos PMC dpoly L:0 RECTP2 move1 L:0 { 87 centerpos PMC2 3.2 P3 1. P3 2 3 π = 120o _10 _ dwin dpoly R dpoly }:"1 (R2,.1 mp rotm 8r12p dpoly }:"1 (R2,.1 mp rotm 16r12p1 2. STEP NB. P3 for Olympic RCR0=: ((>:i.3{rc0 -(" RCR1=: ((>:i.6{rc1 -(" RCR2=: ((i.6{rc2 - ("
13 3. STEP2 120 o, 240 o 2 3 π, 4 3 π {. RC (No:0 2 P3 3 13
14 4. STEP3 ( ( a RECT0 3 ( No1 RECT0 move1 L:0 { RCR NB. * a little difference Block1 Block2 *Block3 2 b No2 No2 0 tmp3=: trans_p3 2r3p1 rot_p3 tmp0 c No2 tmp6=:_ trans_p3 4r3p1 rot_p3 tmp0 5. STEP 4 p3 14
15 draw_olympic_p3=: 3 : 0 NB. draw_olympic_p3 NB. OK _100 _ dwin NB. 1/3 base tmp0=: RECT0 move1 L:0 { RCR0 tmp1=. RECT1 move1 L:0 { RCR1 tmp2=. RECT2 move1 L:0 { RCR2 NB tmp3=: trans_p3 2r3p1 rot_p3 tmp0 tmp4=: trans_p3 2r3p1 rot_p3 tmp1 tmp5=: trans_p3 2r3p1 rot_p3 tmp2 NB tmp6=:_ trans_p3 4r3p1 rot_p3 tmp0 tmp7=:_ trans_p3 4r3p1 rot_p3 tmp1 tmp8=:_ trans_p3 4r3p1 rot_p3 tmp dpoly mm move0 elongm elongm move0=: 4 : 0 NB. Usage: RECT0 move0 L:0 {RC0,.0.2 x0 y0 rot elong =: y }: "1 (x,.1 mp (rotm rot mp (transm x0,y0 mp elongm 2 # elong 15
16 3 4 45, 3 calc_olympic=: 4 : x move0 L:0 y NB. Usage: RECT0 move0 L:0 { RC0, mk_diff_sub0 2 3 mk_diff_sub0 OLPARAM mat2plus=: 4 : 0 NB. SMAT mat2plus tmp2 mat0=: >, x tmp=.< for_ctr. i. # mat0 do. tmp0=. (ctr { mat0 +"1 L:0 y tmp=.tmp,tmp0 end. }.tmp 4. ( OLPARAM=: 0 0;30 0;0 30 NB. base ; x diff ; y diff 5. x,y minmax_dwin=: 3 : ((<.@(<./, >.@(>./ ; y 6. draw 16
17 hokusai_olympic =: 3 : 0 NB. Usage: hokusai_olympic 5 5 SMAT=. y mk_diff_sub0 OLPARAM tmp0=. SMAT mat2plus RECT0 calc_olympic {RC0,.0.2 tmp1=. SMAT mat2plus RECT1 calc_olympic {RC1,.0.2 tmp2=: SMAT mat2plus RECT2 calc_olympic {RC2,.0.2 (minmax_dwin tmp2 dwin dpoly L:0 tmp dpoly L:0 tmp dpoly L:0 tmp2 4.2 hokusai_olympic move0/elongm 17
18 hokusai_paralympic =: 3 : 0 NB. Usage: hokusai_olympic 5 5 SMAT=. y mk_diff_sub0 OLPARAM tmp0=. SMAT mat2plus RECTP0 calc_olympic {PC0,.0.17 tmp1=. SMAT mat2plus RECTP1 calc_olympic {PC1,.0.17 tmp2=. SMAT mat2plus RECTP2 calc_olympic {PC2,.0.17 (minmax_dwin tmp2 dwin dpoly L:0 tmp dpoly L:0 tmp dpoly L:0 tmp2 4.4 index_separate mk_diff_sub
19 index_separate i mk_diff_sub0 OLPARAM > pick_separate pick_separate=: 3 : 0 NB. usage: pick_separate 4 5 Size=.y indol indpara =:index_separate Size tmp=:size mk_diff_sub0 OLPARAM (<indol {,tmp,<indpara{,tmp 3. 3 OLMAT PARAMAT =: pick_separate Size tmp0=: OLMAT mat2plus RECT0 calc_olympic {RC0,.0.2 tmp3=. PARAMAT mat2plus RECTP0 calc_olympic {PC0, RGB 19
20 20
21 References Clliford A. Reiter [Fractal Visualization and J 3rd.edition] Lulu.com A J J download instalation DL WIN/32,64 MAC Linux Raspberrypi(linux J805 QT HTML J8 QT J addon J8 Tools Package- Manager graphics/fvj4 addons graphics fvj4 dwin Ctrl+Shift+E japla.sakura.ne.jp workshop 2017/03 21
J6 M.Shimura (1) 1 2 (2) (1824) ( (1842) 1 (1) 1.1 C.Reiter dwin require ad
J6 M.Shimura JCD02773@nifty.ne.jp 2011 12 13 1 (1) 1 2 (2)- 12 3 14 4-20 5 24 6 33 60 (1824) ( 100 1760 1849 (1842) 1 (1) 1.1 C.Reiter dwin require addons/graphics/fvj3/dwin2.ijs 1 xy find_maxmin 4 5 calc_each_poly
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