From c56c89bad41a02df4628f7881124f717524c59c3 Mon Sep 17 00:00:00 2001 From: Alexandre Date: Mon, 21 Oct 2024 11:17:34 +0200 Subject: [PATCH] reworked collisions + added proper (and homogenous) force computation --- a.out | Bin 3158896 -> 3159976 bytes main.cmi | Bin 5937 -> 6344 bytes main.cmx | Bin 65690 -> 74108 bytes main.ml | 69 ++++++++++++++++++++++++++++++++++++------------------- main.o | Bin 34344 -> 37152 bytes 5 files changed, 45 insertions(+), 24 deletions(-) diff --git a/a.out b/a.out index 41c6c9c0689a39501acb594a9018d75681bd9a90..99326ed481e3c52a8f4f3bbfc1370ab1ed767e11 100755 GIT binary patch delta 1079572 zcmZsk30zF;|Hsd%nM_HhMTIbuglG`5HYJ3ReP@s>d)AwECTsRMmagq4TL_VTovhij zyRJ)?OZKc6*Yf{7^L)?!&79Z&`+B|me4p<*=h@D4_A{r#Cl)c|jYUiea)__CsLDo{ z==IJ5v*`7U?o@Yqu;0m=daz&e5UaZgDhF#)P)RM3{9Hn1P3E7`Y z94>n;JS#jp@I0-}$zs*UE^(ikyWvH>TGAxPP#;Z4U6{F4OH0|LU~SVPbF@N5L3co> zmd-eqb#(Rhl?oiIIzG8?ki1p3>TBY?Jo+)ZTHy|=S3_66 zVlhGW^;BS4=O#jYre%hcA@*^9?d^b#Lp7@DMI4jeLOaaX?2`P{{^C0+TpeICo0l1! 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((ept.x -. spt.x) *. (spt.x -. m.x) +. (ept.y -. spt.y) *. (spt.y -. m.y)) /. ((ept.x -. spt.x) *. (ept.x -. spt.x) +. (ept.y -. spt.y) *. (ept.y -. spt.y))) in + (vect_convexf spt ept theta) ;; + let vect_dot_product_2D (p1 : pt_2d) (p2 : pt_2d) = p1.x *. p2.x +. p1.y *. p2.y ;; @@ -112,6 +124,11 @@ let vect_scale_2D (v1 : pt_2d) (v2 : pt_2d) = let vect_normalize_2D (v1 : pt_2d) = vect_mult_2D v1 (1.0 /. (vect_norm_2D v1)) ;; +let vect_symmetry (m : pt_2d) (p1 : pt_2d) (p2 : pt_2d) = + let proj = return_proj_of_point_D m p1 p2 in + let ortho = vect_diff_2D proj m in + vect_sum_2D (vect_sum_2D ortho ortho) m ;; + (* ------------------------------------------------------------------------------------- *) (* ------------------------------------------------------------------------------------- *) (* XXXXXX Physics functions *) @@ -131,12 +148,6 @@ let distance_line_segment (m : pt_2d) (spt : pt_2d) (ept : pt_2d) = | k when k >= 0. && k <= 1. -> vect_dist_2D (vect_convexf spt ept k) m | k when k < 0. -> vect_dist_2D spt m | k -> vect_dist_2D ept m ;; - -let return_proj_of_point (m : pt_2d) (spt : pt_2d) (ept : pt_2d) = - match (-. ((ept.x -. spt.x) *. (spt.x -. m.x) +. (ept.y -. spt.y) *. (spt.y -. m.y)) /. ((ept.x -. spt.x) *. (ept.x -. spt.x) +. (ept.y -. spt.y) *. (ept.y -. spt.y))) with - | k when k >= 0. && k <= 1. -> (vect_convexf spt ept k) - | k when k < 0. -> spt - | k -> ept;; let is_collision (b : ball) (poly : polygon) (dt : float) = (* returns the 1st point of the line that the ball collides with *) @@ -156,6 +167,9 @@ let is_collision (b : ball) (poly : polygon) (dt : float) = let update_ball_data (b : ball) (polys : polygon array) (dt : float) = let add = ref true in + b.fres.x <- 0. ; + b.fres.y <- 0. ; + for p = 0 to (Array.length polys -1) do let hit = (is_collision b polys.(p) dt) in if !add && hit <> -1 then begin @@ -163,30 +177,35 @@ let update_ball_data (b : ball) (polys : polygon array) (dt : float) = score := !score + polys.(p).score ; (* apply normal reaction force *) - b.v.x <- b.v.x -. b.a.x *. dt ; - b.v.y <- b.v.y -. b.a.y *. dt ; - let hit2 = (hit +1) mod (Array.length polys.(p).vertexes) in let proj = return_proj_of_point b.xy polys.(p).vertexes.(hit) polys.(p).vertexes.(hit2) in + let proj_n = vect_normalize_2D (vect_diff_2D b.xy proj) in + let reaction_force_2 = vect_mult_2D proj_n (univ_g *. b.mass *. (vect_dot_product_2D (vect_normalize_2D gforce) proj_n)) in - let nv = vect_norm_2D b.v in - - let reaction_force = vect_mult_2D (vect_normalize_2D (vect_diff_2D b.xy proj)) nv in - - b.v.x <- ((reaction_force.x *. polys.(p).restitution)) ; - b.v.y <- ((reaction_force.y *. polys.(p).restitution)) ; + b.fres.x <- b.fres.x +. reaction_force_2.x *. polys.(p).restitution ; + b.fres.y <- b.fres.y +. reaction_force_2.y *. polys.(p).restitution ; - (* apply friction/rotational force *) + (* change velocity according to angle *) + let director = vect_diff_2D polys.(p).vertexes.(hit2) polys.(p).vertexes.(hit) in + let symmetric = vect_symmetry b.v {x = 0. ; y = 0.} director in + + b.v.x <- symmetric.x ; + b.v.y <- symmetric.y ; end done ; - b.xy.x <- b.xy.x +. b.v.x *. dt ; - b.xy.y <- b.xy.y +. b.v.y *. dt ; + (* P = mg *) + b.fres.y <- b.fres.y -. univ_g *. b.mass ; + + (* PFD : ma = sum(F) *) + b.a.x <- b.fres.x /. b.mass ; + b.a.y <- b.fres.y /. b.mass ; b.v.x <- b.v.x +. b.a.x *. dt ; b.v.y <- b.v.y +. b.a.y *. dt ; - b.a.y <- -. univ_g ;; + b.xy.x <- b.xy.x +. b.v.x *. dt ; + b.xy.y <- b.xy.y +. b.v.y *. dt ;; (* ------------------------------------------------------------------------------------- *) (* ------------------------------------------------------------------------------------- *) @@ -252,7 +271,7 @@ let create_ball (r : float) (x0 : int) (y0 : int) (m : float) (red : int) (green xy = {x = float_of_int x0; y = float_of_int y0} ; v = {x = 0. ; y = 0.} ; a = {x = 0. ; y = 0.} ; - angv = {x = 0. ; y = 0.} ; + fres = {x = 0. ; y = 0.} ; } ;; let create_polygon (arr : (int * int) array) (rest : float) (pts : int) (red : int) (green : int) (blue : int) = @@ -275,8 +294,9 @@ let simulate () = open_graph " 1200x800" ; set_window_title "WAH" ; - let pinball = create_ball 25.0 600 700 0.15 169 169 169 in - let triangle = create_polygon [|(100, 100); (1100, 800); (1100, 100)|] 0.75 0 128 255 128 in + let pinball = create_ball 25.0 150 730 0.15 169 169 169 in + let triangle = create_polygon [|(100, 100); (100, 700); (1100, 300); (1100, 100)|] 0.15 0 128 255 128 in + let triangle2 = create_polygon [|(1100, 100); (1200, 100); (1200, 750); (1100, 750)|] 1.0 0 255 128 128 in while true do let __start = Unix.gettimeofday() in @@ -289,13 +309,14 @@ let simulate () = set_line_width 1 ; draw_polygon triangle ; + draw_polygon triangle2 ; draw_ball pinball ; auto_synchronize true ; Unix.sleepf 0.005 ; let __end = Unix.gettimeofday() in - update_ball_data pinball [|triangle|] (__end -. __start) ; + update_ball_data pinball [|triangle; triangle2|] (__end -. __start) ; done; close_graph () ;; diff --git a/main.o b/main.o index 3a06798945ac559479f5ece607597f96ea080881..9f2c464467aa2d30eb3b969095e92dba31ae7f8d 100644 GIT binary patch literal 37152 zcmd^|3w%`7wg2}d2&2?w03T`9I@oB#RWT0&NwqRSfP=;w9@bFNNyvkw=H(N+B0i*=7_eR z{(C>4|JKYo=eyTld+oKKXP+~}ZF5WKr3C`YhJdZ)S=AKxI>vs({VhR z5*^B1mWk`&q0I8#hcYK*c%4I9ht~M|Gnr?vBPp#9N#;N<vN<8MJ@2HZ$iS*z3sQHRO`Sc)ZiQB(yH?GpH&U2G>hC;A=06I~~ z370#1pU*tIB<>F~ZK+gq8%&$eriCbyOoM|bz(1YC!o25&d0b!CKCTyC?(4RLPV%v{ z9Clu}hwXIBFEfaj9~BaUMY{BnpjCT*a`lB4!|-JTwV79+YU*$T@|obtdU}ric{wCQ zSCjZ2RP&1{FaAOw!QVw-2f>~J!(aIhFsiF%KL>!#NUDIxLx)>;c3ZV|={ux>kkZ`}t`3OJR0P7Fzy1T!d%notm(5B;qCH1wW+B`h4& zv(fA6J$e0@Z&YB1zTQ#W;~e87uAbjIcbcxLbHIllSL8rJ`JazW+=1dc6gWOmWZ?YW z2Z~FfCNWUtdY#jymwjABgbnd|Px)Lq(rRy7W@7S9@48CuX;i`s#Z*G1Jc>}?-B(ObJafEoMP6MCL6 z-jVr*b8tpFBVOmSY-rc=ZP{5~*I2?u2@M`J9Ds&rq2X_V_S1L`v7oCqH0ulVLbI-! zHS!AV-}5&;CSX;76~x!P!++Cj1+QzS*L5{Cymq2j{8Z-plPTM-lG~3`Cb?emi<#@+ zrXJr_@=c9$Xi3nuEIZ7uTb7+emgMS7c%CG)i*SNQbkXiuF&j z$SeL+`-yNcjR)S2B;|Sx1f-+Upk;I+4tyD!%~>f_>$B1QUDr42=927f>DoUnxzuvd zHOC@LbiE14w`)#P8}vHc;6PousOGTtY&==*!wxBn)p@KkBa%yL{lFqfqMl#p6;>;`y#>L9`?`4vJ)Hz_f%qj2;aP zK=DmHc^dA#hDKZ+Ps1?&6ps~|pPhlsoVh?xFE+jQ>Wwh=HY&(U z8hB+|?#ak|hgiK~yQVzcR@ln0zv4hvp~ z1?Yob@sZ5+cj(yFeTZ$tC{g@Y=K32=f-UI4N7ygB;{9?SB5g5g!OpE1zMw@k`_%My z)4iz|c11B*Pk>B_TKRmspcCDeQQte!W9b}j38JyJW#}Gz_B$gZ2YzV=6VgEwS;F_Y zCWq0Qix#A`(uM?PNurpRu7mT-b0}BAY4(gqkhvrgg2W}+a6CrWa+p?5W#QC%%^#1T z8vtEO5(`oFQxckEZ4%-nMG<=PE{llM)TEJWpV1?853q+}VBdDii3=j_&GKPYh79>-)!}H~m#eK7Q_kFJ;sJ-r?80 zJ#Ulnp8rE9=yxN#z08N7@<#fFd;kOL?f_3SZ)JYrtZ_6FwPA#SY3NS0NLo!*SAq|j z-7fUWnckC$?EYJ4_cmuY@^j?%A|*pDT$1ethP^3!$pVxTqtwUsSTB0w6UckUK)85?Dh}Q+BXvdzOU+y2v?Rf2u zT)H7NbIcNyqH{o(-xL6L(NwFu%amQ-$S$w*VzL^wg7(whI!L$1I&J5r$S(xT=7G-x zk1)rQf*PiozPj$-qFeOEBQN}uO4%bzxfNrT?yX6sh@vilK z+<|z?0L^0WV&HXW^Ub3i?2JHM%@Br1g_*Gs^@rxLGDojn$N*>BMiUF8iN(rwEu(oI{s1M= zt7sa1`}CQDE}BwlVbeJWcOei--0S-3rkgn4{k_-mPuDe2f@#byop-KWj+(mtC{}1# z26~wn3~N8|!ZvoP-C#2d0o+zB#!6Y=<*uB98GkJ$RFuwaVtAdnuckE#)~|6Jo`|pC z5HTj3I@bCn=td|?ynX%etthVx8&6%dO1I@)O%*(cwtldVMbY=_CLjc43;0nGB{dbr zmD{yxAKFIWiMoO470*AG!Cq1XZzneE4%~;XMC;`se7zF8Ql?dPZHmAa(-pfYW8Cq! zot20!60xLk7 zXjbNgz#)9h3SQA&Ik;d~Nw(S32O5)25hdA(X~;&@+<44fMKN;`aTWM%&AmNG;Prpo zK{42d8KH|^bTK=)pnG<|USggJmvmy$+7eu_eP77i{&LU@{Oq#sd(za%F--mCq0-K> ztkTZ9aA{{nPHCr?n`o{FF2;C}d3J>MBkLA)_Lri`@*M}=v|*Kxac&7l#?Df#(s%9H zap>p>`>?cgm#OJJ!(>!H?u$yYy(ea#oF4Dl@vR3bQkJYHu|FY&%HLHFI&6imf*e#L zPaF|i!N2>kf_sck>~eO`88WvRSe~0*J?s&CFdy?zzmCcwx5lH&WK=jQsyq<|zr_<_ z2i$I+;LgE#sdERcru&Xqb9_%LOckd$vx46CSM;_Es_#{dfaLeUF|Yfc4|5%Yq2r(~ zY3>Q*L?=U~mxqbu;v|PoFk+YI(g`ZBya*Lt$Bp?8ZN`D;&{?>?p_0bO_}0nFYcM!s z+oTH{p4`yv$oMh43re^9URSHx!YJOk5_w`+q>LJEryOD!QVC02aeT&gr9;1)P>4T@OZI43w zi3>H*>A1SE96;&K!f2LWkD4cxdSN6sB6&+PaXX;v$kMFG=o#?gRjFp@^;SPQ4ZG~4w zIGxs%6y*%|PuA$tYCU>3FM8qx+;jImg8MX6daKhU#GMVwtgA5oWCUijXngM@o=96Q z5`7%$p&;3AS!i^0%w)^xVGwyd_9-4bLNs`oS)ax~+zujJb9;Zw5Zw;)?mxD4tQ7|y zMo+>XxizLdWc`OumoxIJHv08%>cfGL##eifVzp=cpH83!5;n%G95%4uOk2V(C+<1l zv!GTRZ%gpEw@bfYkkFsVJylLcrZj7@t|6zY!TA@*Xcf;g8hyl}PVrmmg294;{^f z!|yL$!j9B>F>12j)bZRMkKa$#omSJ|cf>sL|3_et+VT!N^=Y~KJLUdfC%(h^ef?_` z9-NtceIS1Q!3#^49GQG##Kzxp$`9thd~;hozCec^@oQsGaa>+s_s1f~oN_bow|co8 z$>{)-kD3#k-VOjZ{fR7R z-EZ~S?mtQ&+vD2dr)O09kEFK8PoJ+HjvhDt`z??4k6$_b>^RDfo)xPJ-_+b5Zf(a& z>jmBe9X;#8lJUoXMt zmJJheV#`2`;x7>Kd3p&Iq`L~WPVoFVPfJQK<=dBWqA^8F03%0wbibmaa=5{X&k{Z)5jVb0lp$4o(8=FTzt<_pL`;O~uxcF2 zGajSf2h|B<0|;!MZug}kPwE#kOyE`?bnLd=Esy0Pp_BAkUNOo(a#q}&c-DUPNB#6* zeAQ+8ZJW?JQR@oCYry6k@v&c5b39k27V5SUMw?LTd6CbeI8PVeOO}^*B;*rqn6i=j zQ_K77zeJQ%>M0d=O8&f%PuSzHUzS(uX%KoO-)|=ol?BU(4Ykj8f-h2(ID`=`f@2~q z6#S?ddl%`E>I6=a7!Ra;gV4WF%ai_Gox^TnE9JIGk8@^BB?-4jFLdHNob+zIezKV; 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