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// Graph 3D v2.221 (16-DEC-2013)// by Han Duongg3D_setdefault();g3D_getfunc();g3D_getsettings();g3D_getwin();g3D_setgrid();g3D_getangles();g3D_rotmatrix();g3D_compute();g3D_project();g3D_draw();g3D_keys();xmin3D,xmax3D;ymin3D,ymax3D;zmin3D,zmax3D;grid3D,zoom3D;rotx,roty,rotz,Rx,Ry,Rz,Rot;xc,yc,zc;Zvals,Points2D,Point,zColor,zClip;redraw3D=1,recompute3D=1,init3D=0;minD,fxy="";//----------------------------// START FUNCTION//----------------------------view "Edit Function",START()begin if init3D==0 then g3D_setdefault(); end; startview(0,1);end;//----------------------------// RESET FUNCTION//----------------------------View "Reset Plot Settings",RESET()begin g3D_setdefault();end;//----------------------------// Symb FUNCTION//----------------------------Symb()begin startview(0,1);end;//----------------------------// SymbSetup FUNCTION//----------------------------SymbSetup()begin msgbox("Use X and Y as the input variables.")end;//----------------------------// PlotSetup FUNCTION//----------------------------PlotSetup()begin if init3D==0 then g3D_setdefault(); end; g3D_getsettings();end;//----------------------------// Plot FUNCTION//----------------------------Plot()begin if init3D==0 then g3D_setdefault(); end; g3D_draw();end;//----------------------------// Numb FUNCTION//----------------------------Num()begin local z_Values; if init3D==0 then g3D_setdefault(); end; g3D_compute(); z_Values:=Zvals .+ zc; editmat(Zvals);end;//----------------------------// NumSetup FUNCTION//----------------------------NumSetup()begin if init3D==0 then g3D_setdefault(); end; g3D_setgrid(); end;//----------------------------// g3D_setdefault//----------------------------g3D_setdefault()begin xmin3D:=-10; xmax3D:=10; ymin3D:=-10; ymax3D:=10; zmin3D:=-10; zmax3D:=10; zoom3D:=10; grid3D:=15; rotx:=105; roty:=0; rotz:=5; xc:=0; yc:=0; zc:=0; redraw3D:=1; recompute3D:=1; init3D:=1; fxy:=""; g3D_getfunc();end;//----------------------------// g3D_getfunc//----------------------------g3D_getfunc()begin local i, ftot=0, fnew, fsel; for i from 0 to 9 do if ISCHECK(i) then fsel:=i; ftot:=ftot+1; end; end; if ftot==0 then msgbox("Please enter/select a function!"); startview(0,1); kill; end; if ftot>1 then msgbox("Please select only one function!"); startview(0,1); kill; end; fnew:=expr("STRING(V"+fsel+")"); if fnew<>fxy then fxy:=fnew; recompute3D:=1; end; return(recompute3D);end;//----------------------------// g3d_getsettings//----------------------------view "Plot Settings (all)",g3D_getsettings()begin if init3D==0 then g3D_setdefault(); end; g3D_getwin(); g3D_getangles();end;//----------------------------// g3D_getwin//----------------------------view "Set Viewing Window",g3D_getwin()begin local xmin,xmax,ymin,ymax,zmin,zmax; local zoom; if init3D==0 then g3D_setdefault(); end; xmin:=xmin3D; xmax:=xmax3D; ymin:=ymin3D; ymax:=ymax3D; zmin:=zmin3D; zmax:=zmax3D; zoom:=zoom3D; if input( {xmin,xmax,ymin,ymax,zmin,zmax,zoom}, "Graph 3D View Window", { "Xmin=", "Xmax=", "Ymin=", "Ymax=", "Zmin=", "Zmax=", "Zoom factor=" }, { "Enter the value of back side of the viewing box", "Enter the value of front side of the viewing box", "Enter the value of left side of the viewing box", "Enter the value of right side of the viewing box", "Enter the value of bottom side of the viewing box", "Enter the value of top side of the viewing box", "Enter the zoom factor (must be > 0)" }, {xmin3D,xmax3D,ymin3D,ymax3D,zmin3D,zmax3D,zoom3D}) then if xmin>=xmax then msgbox("Warning: Invalid Xmin/Xmax! Setting Xmax:=Xmin+1"); xmax:=xmin+1; end; if ymin>=ymax then msgbox("Warning: Invalid Ymin/Ymax! Setting Ymax:=Ymin+1"); ymax:=ymin+1; end; if zmin>=zmax then msgbox("Warning: Invalid Zmin/Zmax! Setting Zmax:=Zmin+1"); zmax:=zmin+1; end; if zoom3D<1 then msgbox("Warning: zoom must be > 0; reset to 10"); zoom:=10; end; if (xmin<>xmin3D) or (xmax<>xmax3D) or (ymin<>ymin3D) or (ymax<>ymax3D) or (zmin<>zmin3D) or (zmax<>zmax3D) then recompute3D:=1; xmax3D:=xmax; xmin3D:=xmin; ymax3D:=ymax; ymin3D:=ymin; zmax3D:=zmax; zmin3D:=zmin; xc:=(xmax3D+xmin3D)/2; yc:=(ymax3D+ymin3D)/2; zc:=(zmax3D+zmin3D)/2; end; zoom3D:=zoom; end;end;//----------------------------// g3D_setgrid//----------------------------view "Set Grid Size",g3D_setgrid()begin local grid; if init3D==0 then g3D_setdefault(); end; grid:=grid3D; if input(grid,"Graph 3D Grid Size","Grid Size=","Enter N for an NxN grid",grid3D) then if grid<1 then msgbox("Warning: grid size must be > 0; reset to 15"); grid:=15; end; end; if grid<>grid3D then recompute3D:=1; end; grid3D:=grid;end;//----------------------------// g3D_getangles//----------------------------view "Set Rotation Angles",g3D_getangles()begin local rx,ry,rz; if init3D==0 then g3D_setdefault(); end; rx:=rotx; ry:=roty; rz:=rotz; if input({rx,ry,rz}, "Graph 3D Rotation Angles", { "X-angle=", "Y-angle=", "Z-angle=" }, { "Enter the angle (deg) about the x-axis", "Enter the angle (deg) about the y-axis", "Enter the angel (deg) about the z-axis" }, {rotx,roty,rotz}) then if (rx<>rotx) or (ry<>roty) or (rz<>rotz) then rotx:=rx; roty:=ry; rotz:=rz; end; end;end;//----------------------------// g3D_rotmatrix//----------------------------g3D_rotmatrix()begin A:=rotx; B:=roty; C:=rotz; if HAngle==0 then A:=A*PI/180; B:=B*PI/180; C:=C*PI/180; end; Rx:=[[1.,0.,0.],[0.,COS(A),-SIN(A)],[0.,SIN(A),COS(A)]]; Ry:=[[COS(B),0.,-SIN(B)],[0.,1.,0.],[SIN(B),0.,COS(B)]]; Rz:=[[COS(C),-SIN(C),0.],[SIN(C),COS(C),0.],[0.,0.,1.]]; Rot:=Rx*Ry*Rz; Rot(3,4):=minD;end;//----------------------------// g3D_compute//----------------------------g3D_compute()begin local i,j,dx,dy,xm,ym,func; local m,minZ,maxZ; if g3D_getfunc() then iferr func:=STRING(V0); then func:=""; end; V0:=fxy; if recompute3D then zColor:=makemat(RGB((grid3D+1-J)/grid3D*255,0,(I-1)/grid3D*255),grid3D+1,grid3D+1); dx:=(xmax3D-xmin3D)/grid3D; dy:=(ymax3D-ymin3D)/grid3D; xm:=xmin3D-dx; ym:=ymin3D-dy; Points2D:=makemat((xm+dx*I-xc,ym+dy*J-yc),grid3D+1,grid3D+1); // apps currently have terrible bug handling iferr Zvals:=makemat(V0(xm+dx*I,ym+dy*J)-zc,grid3D+1,grid3D+1); then recompute3D:=1; msgbox("Error during evaluation of function!"); V0:=func; kill; end; // end error trap recompute3D:=0; // get longest distance from center to prevent inversion minZ:=min(Zvals); maxZ:=max(Zvals); minD:=10+(max(abs(minZ),abs(maxZ))^2+(xmax3D-xc)^2+(ymax3D-yc)^2)^(.5); end; // if recompute3D V0:=func; end; // if g3D_getfuncend;//----------------------------// g3D_project//----------------------------g3D_project()begin local clip; g3D_rotmatrix(); dimgrob_p(G1, 320, 240); clip:=triangle(G1); triangle_p(G1, Points2D, zColor, Zvals, { "N", -160, -120, minD*zoom3D }, Rot, clip); blit_p(G0,G1);end;//----------------------------// g3D_draw//----------------------------g3D_draw()begin if init3D==0 then g3D_setdefault(); end; g3D_compute(); g3D_project(); g3D_keys(); freeze;end;//----------------------------// g3D_draw//----------------------------g3D_keys()begin local key,mousein, dx, dy; while 1 do key:=wait(-1); if TYPE(key)==6 then break; end; if key==-1 then break; end; repeat case if key==1 then roty:=(roty+5) MOD 360; end; if key==3 then roty:=(roty-5) MOD 360; end; if key==4 then kill; end; if key==7 then rotz:=(rotz-5) MOD 360; end; if key==8 then rotz:=(rotz+5) MOD 360; end; if key==2 then rotx:=(rotx-5) MOD 360; end; if key==12 then rotx:=(rotx+5) MOD 360; end; if key==45 then zoom3D:=max(zoom3D/1.05,.01); end; if key==50 then zoom3D:=zoom3D*1.05; end; end; g3D_project(); until NOT IsKeyDown(key); end; // end whileend;
Also how do we rotate in this version? I tried the arrow keys and they no longer let me rotate. I can zoom in/out with + and -, though.EDIT: Nevermind, it seems that Symb and Help rotates, although it seems to behave weirdly
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Topic: Graph 3D beta update (Read 16168 times)
