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Code Editor : calend1.tex
%% %% FILE calend1.tex %% \def\loadadvanced{\relax} % Convert from Julian date and time in % \date to long date (in local time) \def\JDTtoL{\advance\date by500 \advance\date by\timezone\divide\date by1000} %% Trigonometric functions \def\sintable#1{\ifcase #1 0\or100\or199 \or296\or389\or479\or565\or644\or717 \or783\or841\or891\or932\or964\or985 \or997\or1000\or992\or974\or946\or909 \or863\or808\or746\or675\or598\or516 \or427\or335\or239\or141\or42\or-58 \or-158\fi} % Reduces modulo 2\pi (requires positive % argument theta): % theta := theta MOD 2\pi, where % theta = count1*10^(-3) \def\twopimod{\count2 =\count1 \divide\count2 by6284 \count3 =1853 \count4 =6283\multiply\count3 by\count2 \multiply\count4 by\count2 \divide\count3 by10000 \advance\count3 by\count4 \advance\count1 by-\count3} \newif\ifsign % v := sin(theta), where % v = count4*10^(-3); % theta = count1*10^(-3) % theta is reduced MOD 2\pi to be % 0<=theta<2\pi by \TWOPIMOD, % then linear interpolation is performed % using \SINTABLE. \def\Sin{ \ifnum\count1<0 \signtrue \count1=-\count1\else \signfalse\fi \loop\ifnum\count1>6284\twopimod\repeat \ifnum\count1>3142 \advance\count1 by-3142 \ifsign\signfalse\else\signtrue\fi\fi \multiply\count1 by10 \count3 =\count1 \divide\count3 by1000 \count2 =\count3 \multiply\count3 by1000 \advance\count3 by-\count1 \count5 =\sintable{\count2 } \count4 =\count5\advance\count2 by1 \advance\count4 by -\sintable{\count2 } \multiply\count4 by\count3 \divide\count4 by1000 \advance\count4 by\count5 \ifsign\count4 =-\count4 \fi} % v := cos(theta), where % v = count4*10^(-3); % theta = count1*10^(-3). % \SIN is evaluated on pi/2-theta. \def\Cos{\advance\count1 by-1571 \multiply\count1 by-1\Sin} % Linear transformation of T giving % theta := a*T+b, where % T = count0*10^(-6); % theta = count1*10^(-3); % a = #1*10^3+#2+#3*10^(-3); % b = #4*10^(-3) \def\lin#1.#2.#3+#4.{\count1 =#3 \count2 =#2 \count3 =#1 \multiply\count1 by\count0 \multiply\count2 by\count0 \multiply\count3 by\count0 \divide\count1 by1000 \advance\count1 by\count2 \divide\count1 by1000 \advance\count1 by\count3 \advance\count1 by #4} % Accumulate value returned by a % trigonometric function, scaled by % factor f, into count6: % ac := ac+f*v, where % ac = count6*10^(-7) % v = value of SIN or COS =count4*10^(-3) % f = #1*10^(-4) \def\fac#1{\multiply\count4 by #1 \advance\count6 by\count4} \def\id{\count4=\count1} % Identity
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