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errorbars.tex
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piccorr.sty
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Code Editor : piccorr.sty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % % Correction to PiCTeX 1.1 9/21/87 % % by Andreas Schrell, Wuppertal, FRG, 9/30/91 % % % % The bug forces wrong height and position of the % % vertical \betweenarrows - structure if the % % coordinate difference is negative. % % You can search for ERROR in this file. % % % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% {\catcode`!=11 \global \def\betweenarrows #1#2 from #3 #4 to #5 #6 {% \!xloc=\!M{#3}\!xunit \!xxloc=\!M{#5}\!xunit% \!yloc=\!M{#4}\!yunit \!yyloc=\!M{#6}\!yunit% \!dxpos=\!xxloc \advance\!dxpos by -\!xloc \!dypos=\!yyloc \advance\!dypos by -\!yloc \advance\!xloc .5\!dxpos \advance\!yloc .5\!dypos % \let\!MBA=\!M% ** save current coord\dimen mode \!setdimenmode% ** express locations in dimens \ifdim\!dypos=\!zpt \ifdim\!dxpos<\!zpt \!dxpos=-\!dxpos \fi \put {\!lrarrows{\!dxpos}{#1}}#2{} at {\!xloc} {\!yloc} \else \ifdim\!dxpos=\!zpt % \ifdim\!dypos<\!zpt \!dypos=-\!zpt \fi % ^^^^^ ERROR! \ifdim\!dypos<\!zpt \!dypos=-\!dypos \fi % ^^^^^^^ CORRECTION! \put {\!udarrows{\!dypos}{#1}}#2{} at {\!xloc} {\!yloc} \fi \fi \let\!M=\!MBA% ** restore previous c/d mode \ignorespaces} % correction added by Robin Fairbairns (rf10@cam.ac.uk) 1999/09/14 \def\!qjoin (#1,#2) (#3,#4){% \advance\!intervalno by 1 \!ifcoordmode \edef\!xmidpt{#1}\edef\!ymidpt{#2}% \else \!dimenA=#1\relax \edef\!xmidpt{\the\!dimenA}% % \!dimenA=#2\relax \edef\!xmidpt{\the\!dimenA}% WRONG % ^^^^^^^^ \!dimenA=#2\relax \edef\!ymidpt{\the\!dimenA}% % ^^^^^^^^ \fi \!xM=\!M{#1}\!xunit \!yM=\!M{#2}\!yunit \!rotateaboutpivot\!xM\!yM \!xE=\!M{#3}\!xunit \!yE=\!M{#4}\!yunit \!rotateaboutpivot\!xE\!yE % % ** Find coefficients for x(t)=a_x + b_x*t + c_x*t**2 \!dimenA=\!xM \advance \!dimenA by -\!xS% ** dimA = I = xM - xS \!dimenB=\!xE \advance \!dimenB by -\!xM% ** dimB = II = xE-xM \!xB=3\!dimenA \advance \!xB by -\!dimenB% ** b=3I-II \!xC=2\!dimenB \advance \!xC by -2\!dimenA% ** c=2(II-I) % % ** Find coefficients for y(t)=y_x + b_y*t + c_y*t**2 \!dimenA=\!yM \advance \!dimenA by -\!yS% \!dimenB=\!yE \advance \!dimenB by -\!yM% \!yB=3\!dimenA \advance \!yB by -\!dimenB% \!yC=2\!dimenB \advance \!yC by -2\!dimenA% % % ** Use Simpson's rule to calculate arc length over [0,1/2]: % ** arc length = 1/2[1/6 f(0) + 4/6 f(1/4) + 1/6 f(1/2)] % ** with f(t) = sqrt(x'(t)**2 + y'(t)**2). \!xprime=\!xB \!yprime=\!yB% ** x'(t) = b + 2ct \!dxprime=.5\!xC \!dyprime=.5\!yC% ** dt=1/4 ==> dx'(t) = c/2 \!getf \!midarclength=\!dimenA \!getf \advance \!midarclength by 4\!dimenA \!getf \advance \!midarclength by \!dimenA \divide \!midarclength by 12 % % ** Get arc length over [0,1]. \!arclength=\!dimenA \!getf \advance \!arclength by 4\!dimenA \!getf \advance \!arclength by \!dimenA \divide \!arclength by 12% ** Now have arc length over [1/2,1] \advance \!arclength by \!midarclength \global\advance \totalarclength by \!arclength % % % ** Check to see if there's anything to plot in this interval \ifdim\!distacross>\!arclength \advance \!distacross by -\!arclength% ** nothing % \else \!initinverseinterp% ** initialize for inverse interpolation on arc length \loop\ifdim\!distacross<\!arclength% ** loop over points on arc \!inverseinterp% ** find t such that arc length[0,t] = distacross, % ** using inverse quadratic interpolation % ** now evaluate x(t)=(c*t + b)*t + a \!xpos=\!t\!xC \advance\!xpos by \!xB \!xpos=\!t\!xpos \advance \!xpos by \!xS % ** evaluate y(t) \!ypos=\!t\!yC \advance\!ypos by \!yB \!ypos=\!t\!ypos \advance \!ypos by \!yS \!plotifinbounds% ** plot point if in bounds \advance\!distacross \plotsymbolspacing%** advance arc length for next pt \!advancedashing% ** see "linear" \repeat % \advance \!distacross by -\!arclength% ** prepare for next interval \fi % \!xS=\!xE% ** shift ending points to starting points \!yS=\!yE \ignorespaces} } \endinput
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