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diff --git a/Master/texmf-dist/doc/support/texdraw/texdraw_8.html b/Master/texmf-dist/doc/support/texdraw/texdraw_8.html deleted file mode 100644 index 09ee5d14520..00000000000 --- a/Master/texmf-dist/doc/support/texdraw/texdraw_8.html +++ /dev/null @@ -1,342 +0,0 @@ -<HTML> -<HEAD> -<!-- Created by texi2html 1.56k from texdraw.texi on 10 March 2004 --> - -<TITLE>TeXdraw - C. Examples</TITLE> -</HEAD> -<BODY> -Go to the <A HREF="texdraw_1.html">first</A>, <A HREF="texdraw_7.html">previous</A>, <A HREF="texdraw_9.html">next</A>, <A HREF="texdraw_11.html">last</A> section, <A HREF="texdraw_toc.html">table of contents</A>. -<P><HR><P> - - -<H1><A NAME="SEC35" HREF="texdraw_toc.html#TOC35">C. Examples</A></H1> -<P> -<A NAME="IDX183"></A> - - -<P> -This appendix shows examples of the use of TeXdraw. - - - -<UL> -<LI><A HREF="texdraw_8.html#SEC36">Block diagram</A> -<LI><A HREF="texdraw_8.html#SEC37">Filter response graph</A> -<LI><A HREF="texdraw_8.html#SEC38">Geometric construction</A> -</UL> - - - -<H2><A NAME="SEC36" HREF="texdraw_toc.html#TOC36">C.1 Block diagram of a lattice filter</A></H2> - -<P> -The block diagram of a lattice filter uses a library of extended -commands built from the basic TeXdraw commands. - - -<P> -The block diagram uses a "delay" block. This is defined as a segment -which leaves the current position at the end of this block. A second -macro, <CODE>\bdot</CODE>, draws a "big" dot which is used to mark junctions -of lines. The <CODE>\Ttext</CODE> command centers text above a given point. -The offset to position the text is local to a segment, resulting in no -change to the current point. Similar macros to position text below a -point (<CODE>\Btext</CODE>), to the left of a point (<CODE>\Ltext</CODE>) and to the -right of a point (<CODE>\Rtext</CODE>) are used in the final drawing. - -<PRE> -\def\delay {\bsegment - \setsegscale 0.3 - \lvec (0 +0.5) \lvec (1 +0.5) \lvec (1 -0.5) - \lvec (0 -0.5) \lvec (0 0) - \textref h:C v:C \htext (0.5 0){$z^{-1}$} - \savepos (1 0)(*ex *ey) - \esegment - \move (*ex *ey)} -\def\bdot {\fcir f:0 r:0.02 } -\def\Ttext #1{\bsegment - \textref h:C v:B \htext (0 +0.06){#1} - \esegment} -</PRE> - -<P> -Several of the block diagram elements scale with the size of the summing -nodes. The radius of the circles for the summing nodes is defined as -the macro <CODE>\cradius</CODE>. The summing nodes will have enclosed plus -signs, appropriately scaled. The plus sign is drawn by the macro -<CODE>\pluss</CODE>. The macro <CODE>\pcir</CODE> draws both the circle and the -plus sign. The incoming lines to a summing node will be labelled with -plus or minus signs (characters this time), placed at the appropriate -position with respect to the center of the summing node. These -positions are given in terms of compass directions. The macro -<CODE>\putwnw</CODE> places text west by north-west relative to the center of -the summing node. - -<PRE> -\def\cradius {0.08} -\def\pluss {\bsegment - \setsegscale {\cradius} - \move (-0.5 0) \lvec (+0.5 0) - \move (0 -0.5) \lvec (0 +0.5) - \esegment} -\def\pcir {\lcir r:{\cradius} \pluss} -\def\puttext (#1 #2)#3{\bsegment - \setsegscale {\cradius} - \textref h:C v:C \htext (#1 #2){#3} - \esegment} -\def\putwnw #1{\puttext (-1.7 +1.2){#1}} -</PRE> - -<P> -The block diagram has vectors arriving and departing from the summing -nodes (circles). One could calculate the points of intersection of the -lines with the circles, and then enter the values into the TeXdraw -code. However, in this example, we implement an automated procedure. -Two macros are needed, an arrow vector to a circle (<CODE>\avectoc</CODE>) and -an arrow vector leaving from a circle (<CODE>\avecfrc</CODE>). The macros -will calculate the point of intersection with the circle and start or -end the vector at the intersection point. - - -<P> -The arrow macros use scaling and relative positioning inside of a -drawing segment. In the case of the macro <CODE>\avectoc</CODE>, a move is -made to the final point (center of the circle), then within a drawing -segment, a scaled move is made back towards the initial point to -determine the intersection point with the circle. - - - -<PRE> -\def\avectoc (#1 #2){\currentpos \xa\ya - \cossin ({\xa} \ya)(#1 #2)\cosa\sina - \savepos (#1 #2)(*tx *ty) - \bsegment - \move (*tx *ty) - \setsegscale {\cradius} - \rmove ({-\cosa} -\sina) - \savecurrpos (*ex *ey) - \esegment - \avec (*ex *ey) - \move (#1 #2)} -\def\avecfrc (#1 #2){\currentpos \xa\ya - \cossin ({\xa} \ya)(#1 #2)\cosa\sina - \bsegment - \setsegscale {\cradius} - \move ({\cosa} \sina) - \savecurrpos (*ex *ey) - \esegment - \move (*ex *ey) - \avec (#1 #2)} -</PRE> - -<P> -Having defined these macros, we are ready to draw the block diagram. -The first and last sections of the lattice filter are very similar, -differing mainly in the text labels. With more effort, code could be -shared between the commands used to draw these blocks. - -<PRE> -\centertexdraw{ -\drawdim in -\arrowheadtype t:F \arrowheadsize l:0.08 w:0.04 -\def\pl {$\scriptscriptstyle +$} \def\mn {$\scriptscriptstyle -$} - -\move (0 +0.63) \move (0 -0.60) \move (0 0) % compensate for the text size - -% Input to the first stage -\bsegment - \Ltext{$x(n)$} - \lvec (0.3 0) \bdot \lvec (0.3 +0.4) \move (0.3 0) \lvec (0.3 -0.4) - \savepos (0.3 0)(*ex *ey) -\esegment -\move (*ex *ey) - -% first lattice stage -\bsegment - \move (0 +0.4) \avectoc (1.7 +0.4) - \pcir \putwnw{\pl} \puts{\mn} - \avecfrc (2.1 +0.4) - \move (0 -0.4) \avec (0.4 -0.4) \delay \avectoc (1.7 -0.4) - \pcir \putwsw{\pl} \putn{\mn} - \avecfrc (2.1 -0.4) - \move (0.9 +0.4) \bdot \avectoc (1.7 -0.4) - \move (0.9 -0.4) \bdot \avectoc (1.7 +0.4) - \move (0.1 +0.42) \Ttext {$f_0(n)$} - \move (2.0 +0.42) \Ttext {$f_1(n)$} - \move (0.1 -0.4) \Btext {$b_0(n)$} - \move (2.0 -0.4) \Btext {$b_1(n)$} - \textref h:L v:B \htext (1.15 +0.2){$K_1$} - \textref h:L v:T \htext (1.15 -0.2){$K_1$} - \savepos (2.1 0)(*ex *ey) -\esegment -\move (*ex *ey) - -% center section -\bsegment - \textref h:C v:C \htext (0.3 +0.4){$\cdots$} - \htext (0.3 -0.4){$\cdots$} - \savepos (0.6 0)(*ex *ey) -\esegment -\move (*ex *ey) - -% last lattice stage -\bsegment - \move (0 +0.4) \avectoc (1.7 +0.4) - \pcir \putwnw{\pl} \puts{\mn} - \avecfrc (2.3 +0.4) \Rtext{$e(n)$} - \move (0 -0.4) \avec (0.4 -0.4) \delay \avectoc (1.7 -0.4) - \pcir \putwsw{\pl} \putn{\mn} - \avecfrc (2.1 -0.4) - \move (0.9 +0.4) \bdot \avectoc (1.7 -0.4) - \move (0.9 -0.4) \bdot \avectoc (1.7 +0.4) - \move (0.1 +0.42) \Ttext {$f_{P-1}(n)$} - \move (2.0 +0.42) \Ttext {$f_P(n)$} - \move (0.1 -0.4) \Btext {$b_{P-1}(n)$} - \move (2.0 -0.4) \Btext {$b_P(n)$} - \textref h:L v:B \htext (1.15 +0.2){$K_P$} - \textref h:L v:T \htext (1.15 -0.2){$K_P$} -\esegment -} -</PRE> - -<P> -The macros used in this example are similar to the block diagram macros -defined in the file <TT>`blockdiagram.tex'</TT>. - - - - -<H2><A NAME="SEC37" HREF="texdraw_toc.html#TOC37">C.2 Filter response graph</A></H2> -<P> -<A NAME="IDX184"></A> - - -<P> -This example shows the response of a canonical filter. TeXdraw is -not well suited for general purpose graphing -- it has no coordinate -translation facility nor does it have separate <VAR>x</VAR> and <VAR>y</VAR> -scaling. Nonetheless, for certain simple graphs, TeXdraw is -adequate. - - -<P> -In this example, macro <CODE>\ticklab</CODE> places a labelled axis tick at a -given position. The data is specified in a straightforward manner, -having been scaled beforehand to give the desired aspect ratio for the -graph. - - - -<PRE> -\centertexdraw{ -\arrowheadtype t:F \arrowheadsize l:0.08 w:0.04 -\def\ds {\displaystyle} -\def\ticklab (#1 #2)#3{\move(#1 #2) - \bsegment - \lvec (0 0.05) - \textref h:C v:T \htext (0 -0.05){#3} - \esegment} -\def\Rtext #1{\bsegment - \textref h:L v:C \htext (+0.08 0){#1} - \esegment} - -\move (2.4 -0.3) % move to set the size - -\move (0 0) -% Axes -\avec (0 +1.4) -\move (0 0) \avec (2.2 0) \Rtext{$\omega$} -\ticklab (0 0) {0} -\ticklab (0.8 0) {$\ds {\pi \over 2N} $} -\ticklab (1.2 0) {$\omega_s$} -\ticklab (1.6 0) {$\ds {\pi \over N} $} - -\linewd 0.025 -\move (0 1) -\lvec (0.4 1) -\lvec (0.44 0.998) -\lvec (0.48 0.988) -\lvec (0.52 0.973) -\lvec (0.56 0.951) - ... -\lvec (1.08 0.233) -\lvec (1.12 0.156) -\lvec (1.16 0.078) -\lvec (1.20 0) -\lvec (1.9 0) -} -</PRE> - - - -<H2><A NAME="SEC38" HREF="texdraw_toc.html#TOC38">C.3 Geometric construction</A></H2> -<P> -<A NAME="IDX185"></A> - - -<P> -This example shows a geometric construction which places an ellipse -tangent to an enclosing circle. The size of the ellipse is determined -from geometric considerations. Macros are used to modularize the code. -The example alters the unit scale factor. This allows the drawing to be -carried out in units normalized to the radius of the circle. - - - -<PRE> -\centertexdraw{ -\arrowheadtype t:V \arrowheadsize l:0.08 w:0.04 -\linewd 0.01 -\setunitscale 1.5 % circle will have radius 1.5 inches - -\def\Btext #1{\bsegment - \textref h:C v:T \htext (0 -0.04){#1} - \esegment} -\def\Ttext #1{\bsegment - \textref h:C v:B \htext (0 +0.04){#1} - \esegment} -\def\Ltext #1{\bsegment - \textref h:R v:C \htext (-0.04 0){#1} - \esegment} -\def\bdot {\fcir f:0 r:0.0133 } -\def\vtick {\bsegment - \move (0 -0.05) \lvec (0 +0.05) - \esegment} -\def\htick {\bsegment - \move (-0.05 0) \lvec (+0.05 0) - \esegment} -\def\Hlen #1#2{\bsegment - \vtick \avec ({#1} 0) \vtick \avec (0 0) - \relsegscale 0.5 - \move ({#1} 0) \Ttext {#2} - \esegment} -\def\Vlen #1#2{\bsegment - \htick \avec (0 {#1}) \htick \avec (0 0) - \relsegscale 0.5 - \move (0 {#1}) \Ltext {#2} - \esegment} - -\lcir r:1 % circle -\move (-1.05 0) \lvec ( 1.05 0) % axes -\move (0 -1.05) \lvec (0 1.05) - -\move (0 0) \lvec (0.707 0.707) \bdot -\rmove (0.02 0.02) \textref h:L v:B \htext {X} -\move (0.707 -0.707) \bdot -\textref h:R v:T \htext(-0.02 -0.02){O} - -\move (0.5 0) % center of ellipse -\bsegment - \lellip rx:0.435 ry:0.804 - \bdot \Btext {$\beta_2$} - \move (0 0.15) \Hlen {0.435}{$|\beta_1{+}\beta_3|$} - \move (-0.7 0) \Vlen {0.804}{$|\beta_1{-}\beta_3|$} -\esegment -} -</PRE> - -<P><HR><P> -Go to the <A HREF="texdraw_1.html">first</A>, <A HREF="texdraw_7.html">previous</A>, <A HREF="texdraw_9.html">next</A>, <A HREF="texdraw_11.html">last</A> section, <A HREF="texdraw_toc.html">table of contents</A>. -</BODY> -</HTML> |