395:% RADIODROME_PARAMS.en % SourceCode for EULER by W#B: 29.10.2005, Public Domain % EULER is a program for quick and interactive computations with real % and complex numbers, matrices, or with intervals. % Euler is freeware under the GNU general public license. % The Euler homepage is at http://www.rene-grothmann.de % ================================================================== >function radiodrome(y, k, d0=1) ## x - vektor over vektor y, y(i) <> 0!! ## d0 .. normal distance of point of return (1/x'=0) ## k .. parameter of radiodrome (factor of velocities) $ yy=abs(y)/d0; $ if abs(k)==1; x=sign(k)*((yy^2-1)/4-log(yy)/2); $ else; k1=1+k; k2=1-k; x=1/2*((yy^k1-1)/k1-(yy^k2-1)/k2); endif; $ return x*d0; $ endfunction >function radiodrome0(k, d0=1) ## x - value x at y=0 ## if no zeropoint exists, returns x=0 ## (as k=0 will give correct x=0, test for both) ## d0 .. normal distance of point of return (1/x'=0) $ if abs(k)>=1; x=0; "radiodrome0: no zeropoint"; $ else; k1=1+k; k2=1-k; x=k/(k1*k2); endif; $ return x*d0; $ endfunction % ------------------------------------------------------------------ >clg; reset; >xmin=0; xmax=1.6; ymin=0; ymax=1.4; >delta0=0.000001; delta1=0.001; delta2=0.02; >setplot(xmin,xmax,ymin,ymax); keepsquare(1); scaling(0); >y=ymin+delta0:delta1:ymax+delta2; x=radiodrome(y, 1); >plotarea(x,y); hold on; markerstyle("x"); >color(1); linewidth(1); xplot(); >color(10); linewidth(2); plot(x,y); >color(12); k=1.4;x=radiodrome(y, k); plot(x,y); >color(5); k=0.7;x=radiodrome(y, k); plot(x,y); mark (radiodrome0(k), 0); >color(14); k=0.5;x=radiodrome(y, k); plot(x,y); mark (radiodrome0(k), 0); >color(11); k=0.3;x=radiodrome(y, k); plot(x,y); mark (radiodrome0(k), 0); >"done" % ------------------------------------------------------------------
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662:{{Information| |Description=EN: Curve of pursuit,different parameters, colour DE: Radiodrome, verschiedene Parameter, Farbe |Source=self by W!B: - using Euler (Radiodrome_params.en, SourceCode see discussion), StarOffice Draw |Date=created 3. Nov. 2005 |A
603:{{Information| |Description=EN: Curve of pursuit,different parameters, colour DE: Radiodrome, verschiedene Parameter, Farbe |Source=self by W!B: - using Euler (Radiodrome_params.en, SourceCode see discussion), StarOffice Draw |Date=created 3. Nov. 2005 |A
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