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func cmplxplot(z, u) /* DOCUMENT cmplxplot, z, u * plots a scalar complex function of a complex variable. */ { resx=100; resy=100; s=[[sqrt(2./3.),0,1/sqrt(3)],[-1/sqrt(2*3.0),1/sqrt(2.),1/sqrt(3)], [-1/sqrt(2*3.0),-1/sqrt(2.),1/sqrt(3)]]; phi=span(-pi,pi,256); vec=array(double,3,256); vec(1,)=cos(phi); vec(2,)=sin(phi); vec(3,)=1/sqrt(2)(-); f=s(+,)*vec(+,); palette,bytscl(f(2,),top=255),bytscl(f(1,),top=255),bytscl(f(3,),top=255); xmin=min(u.re); xmax=max(u.re); ymin=min(u.im); ymax=max(u.im); zi=array(complex,resx,resy); zi.re=interp2(span(ymin,ymax,resy)(-:1:resx,),span(xmin,xmax,resx)(,-:1:resy), z.re,u.im,u.re); zi.im=interp2(span(ymin,ymax,resy)(-:1:resx,),span(xmin,xmax,resx)(,-:1:resy), z.im,u.im,u.re); // Caution: on some platforms atan(0,0) crashes ! arr=bytscl(atan(zi.im,zi.re+1e-200),cmin=-pi,cmax=pi); pli,arr, xmin,ymin,xmax,ymax; plc,abs(z),u.im,u.re,marks=0; }
Descriptions in this dictionary are ©1997-99 Neal Ziring. Some examples copyright of their respective authors. Some technologies and languages are trademarked. Permission to copy descriptions is granted as long as authorship credit is preserved.
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Dictionary and script maintained by Neal Ziring, last major modifications 3/18/98. Most recent additions to dictionary and master list, 1/00.