From 703ba44412e8ac890a635f4d339438252e8dffda Mon Sep 17 00:00:00 2001 From: Karl Berry Date: Thu, 28 Sep 2006 20:27:44 +0000 Subject: voss mathmode update (27sep06) git-svn-id: svn://tug.org/texlive/trunk@2213 c570f23f-e606-0410-a88d-b1316a301751 --- Master/texmf-doc/doc/english/mathmode/Changes | 3 + Master/texmf-doc/doc/english/mathmode/Mathmode.ltx | 4 +- Master/texmf-doc/doc/english/mathmode/Mathmode.pdf | 40447 ++++++++++--------- Master/texmf-doc/doc/english/mathmode/Mathmode.tex | 206 +- .../doc/english/mathmode/pstricks-add.tex | 3004 ++ Master/texmf-doc/tpm/mathmode.tpm | 5 +- Master/texmf/lists/mathmode | 1 + 7 files changed, 23736 insertions(+), 19934 deletions(-) create mode 100755 Master/texmf-doc/doc/english/mathmode/pstricks-add.tex (limited to 'Master') diff --git a/Master/texmf-doc/doc/english/mathmode/Changes b/Master/texmf-doc/doc/english/mathmode/Changes index 3605f936b5c..9efc0d6e8ad 100644 --- a/Master/texmf-doc/doc/english/mathmode/Changes +++ b/Master/texmf-doc/doc/english/mathmode/Changes @@ -1,5 +1,8 @@ ..... Mathmode.ltx|tex|bib|ist +2.18 2006-09-27 - fix a problem & in align demo + - add a short section of mathtools +2.17 2006-09-25 fix problem with package showexpl 2.16 2006-08-05 typo and one more bib entry 2.15 2006-08-03 some typos, adding the missing index and bibliography diff --git a/Master/texmf-doc/doc/english/mathmode/Mathmode.ltx b/Master/texmf-doc/doc/english/mathmode/Mathmode.ltx index bd67949a2bf..29c92508c93 100644 --- a/Master/texmf-doc/doc/english/mathmode/Mathmode.ltx +++ b/Master/texmf-doc/doc/english/mathmode/Mathmode.ltx @@ -152,7 +152,8 @@ \kern-\wd0 \lower.22ex\box0}% } -\usepackage{empheq}% defines also harpoon macros +\usepackage[allowspaces]{empheq}% defines also harpoon macros +\usepackage{mathtools} \newcommand*{\threesim}{% \mathrel{\vcenter{\offinterlineskip @@ -281,6 +282,7 @@ \usepackage{showexpl} \lstset{language=[AlLaTeX]TeX} % +%\usepackage{microtype} \usepackage[% pdftitle={TeX Mathmode},% pdfauthor={Herbert Voss},% diff --git 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Hh@P ƸI˨^g4iԵfmu bC(\.F>{y{s~>jo=OkXmmm7ns̖k-lk|eM^]7sL緘;nb|aSN)onyG Ѡ+eM7(U_lnyB(ec?lT Ճ_pPb~:q5O%;>%ܹigV*xU7=ټJ-FػuVԷźCN:ӬGXncbg=%맬YX+Yg,֏YXϱ~ƺs֝-Y`Z'ݬmXamga=zZSYh5\s}ﵯ8lc߸o7?M7gw]WqB7!|0v-n?mm?bw|㎿޹3w~2|}_lY0gkc"cpgdBa ?+ٙ4s\JʙYTlRÌ;5`jڣv=)fKؓ/Cp@D@4PgyPtigڜBQdFZ4֦J ºrJP섯hZdc:*w]#ݚM)nYaaQt2c`.XX!ǧ3ƿ^җ6Km`tYwq̛їSg72O۶I$s,aNc0+ vlBQJZ8ur4[(DHړ4, KF8\&S(Q>"v` ׳}mv6}CZrMq-vK|b S4#I/F<QvcDCxshvxv8wG|*6U*lDO91wЊc{en՟ @@ -7999,11 +8010,11 @@ CB <EWȈ̄Х)B!hX,Fަ!Wc$lp;0WU{!_]]]^GlTRZB@#[J+zR?6+)s$N9CI_0(bܕNٕ]ic7|ڇ7\?ᆷc7| endstream endobj -2096 0 obj +2106 0 obj << /Subtype /Type1C /Filter /FlateDecode -/Length 2113 0 R +/Length 2123 0 R >> stream xU{PD ^KMJ@1h(^wp7^@L(b' ID+VvAt_gvvg~OB!$?c򚚒˗dYYNݍyBA_b"//-kmnS)խ{-5|[hĕZ!bQ^T6?yNXOl *9QCx"!u&XCPH @@ -8013,11 +8024,11 @@ $ ZmJ4<>Us*(-0j0P3iJҷ9QR,*Q_*ahح _bD]-n1KE+@*қ38V+x!ΫݡizA[ZY v)MH3l{($D%X1?ĊY 'bxם޿:z y%c!Q'N2ȈVp\XΣ,-Jx3.UxȒR1#.&vUA2)cV+މwkq ЪT} uJۺtJT֣C4CϤ# }ۆ//,ȠY:У"$ʙCXNҧxH>(@8:| \eV Z'p,T >:<)@+>O,=VxF4P?d6witc:Hy-q.@S5ZYa֛U!ΎqX^QڈOXp$lzQDž=e Oa¸yDF^ׁwu0La2bq ֆ%q)ow/IcV4h Ϙ3'Y1_h^8zznև:^G!5Ngk! 4\OpAHu%jxZْN;YT-HWHZag{w;CY/8kQ|^E%Dd =¹9k[(/ `V E_x 'OA2Ox?M]{p@U(?Ĵ`{? 8󏏛nR4 =UdMITQ\lH'ܹĠ?4x_qr!OwZuu|s#y;@\jYmO!UQw|AAy#%?7z>URd=`[-tSqMݧjvjP"[7S;V5nF*DSt2b5Gx}-[ Ŀliendstream endobj -2097 0 obj +2107 0 obj << /Subtype /Type1C /Filter /FlateDecode -/Length 2114 0 R +/Length 2124 0 R >> stream x]mL[eo[x5̔܋/&faXLqL&2pR @@ -8028,11 +8039,11 @@ ifr GqЇKQt?z~T|CviRQw<7ԭucJY5)9fOt=TAhDVdU Bj/yZ/H.zz]X"Qd 582s^>*v##eLZ3RT[%9zY$EdQZjl*NT" EsgDȁŕ*~D]Z155:6ГU2l1InÄa!endstream endobj -2098 0 obj +2108 0 obj << /Subtype /Type1C /Filter /FlateDecode -/Length 2115 0 R +/Length 2125 0 R >> stream xYyxSeO#"NU<P02"**P)e-]ҦmҦm='ҴitoJ7JHBAuGA~Et\OO[~BuBpژKby~tY3L @@ -8066,11 +8077,11 @@ nA 7~7E"3άQFGw צ^jSR5׀+P<}j?9 6lCa. 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LlLL@f?L,s `0r044q݄o/#V&le`06=wɿ8&\eTC#Op2t4) FO7`Vyu^Η|F~賒2^g_U}_a}Uge}* q?\4?{&ezYgeɞj K2/!$qK2/ +$L1_0/;%aG!KnqGW'o#|^މ!7F㏑r02:$%vVΎ/c8[[$|6;_^Jb{8v=b^ȭl@ƆV6odp> r2tr4Cq=y47tr}>mB N +ogsm>#g_s}V6G3E?rrGa[Rs9`陘o:񬃁FV#ƿs??ϝ3w6?56~Y~g}Ɲ~3f{7e+_H ۺy=i"2>MkfOo]OMAO,41FfkhTT#;^\ج!Fc 1`#UەjTL;ǰV/13;.;MgrvdW-l +'|#'5wVV3 +4l휝Lr@UM l;r2|J ?"8r26Z=O͓{+#cOe01qt)F *"E*>UIhg9C'@6OOOA6ff6v;+f66'Lܞ@tL.Er@.0 LlLL@f?L,s `0r044q݄o/#V&le`06=wɿ8&\eTC#Op2t4) FO7`Vyu^Η|F~賒2^g_U}_a}Uge}* q?\4?{&ezYgeɞj K2/!$qK2/ +$L1_0/;%aG!KnqGW'o#|^މ!7F㏑r02:$%vVΎ/c8[[$|6;_^Jb{8v=b^ȭl@ƆV6odp> r2tr4Cq=y47tr}>mB N +ogsm>#g_s}V6G3E?rrGa[Rs9`陘o:񬃁FV#ƿs??ϝ3w6?56~Y~g}Ɲ~3f{7e+_H ۺy=i"2>MkfOo]OMAO,41FfkhTT#;^\ج!Fc 1`#UەjTL;ǰV/13;.;MgrvdW-l +y'}9T*K`.iV)XHђCX]c|,iOm[1nst. \+ޮ㡭ھa"*~}nKC\{άt_Y:%#J:tgv0$ڡ~ߓ*|*v:dY'Fz|F.ܗ6}:S,.چtʹ|YM(~ :#UT> 'xfoLh]D T6s*,( XZsTCAAAZ7Z:ï;:R ?3mQǂ~ ƒq|}1c%1^;mR"FazB|I{݂mF0۟uI,mzs6Q"P待$[;CRLO_y.EzReWCg0Jr<[!Mgu-맬}Kzs%`>64kvwWM=:-})l ~@&FYWӗ11pi:-kA2ZGQRҽ\͐ߧ2H JWmmT>AgAyo~5\-Ű^.rd+;b&hq~BAV,X] ha}+]d^+`sG}N _u6Q H kځXo\CL~!6U"/?P3.bT+ Z_U6Vɦϭ{J#^ wsJ60*ec1'GO@WwfPJxScB!ۢe%:MaU݃>|:# ֿలr Ju DKU,*dǣ̥]1=aTs8yLBh9ߤ~ @@ -33107,110 +33595,101 @@ o wIѩAs6["vjzX%>R綢= /c{/Iu̮.ȋ49B9EHYZ;0wZ&2yWL-72#=8aku‰z֓|u>RYqDƱAaA:tp%RoD)W%vRqu^>.f b߫1Bhܬ9 wi GV6Yry{PDP9 53`M}8v3=sbl`5tB!r""FlGd^N=G+4dD1KԉƯ#$qӣrFkD MV5XC# -e~byJ ˢˬ=8[=,*+~W,$5}6|~d5YT*nz)J5G:RvnQX*?L l ,7 +e~byJ ˢˬ=8[=,*+~W,$5}6|~d5YT*nz)J5G:RvnQX*?L l ,7ߋ endstream endobj -1345 0 obj << +1355 0 obj << /Type /Font /Subtype /Type1 -/Encoding 5397 0 R +/Encoding 5488 0 R /FirstChar 0 /LastChar 127 -/Widths 5398 0 R -/BaseFont /QOFMHG+CMEX10 -/FontDescriptor 1343 0 R +/Widths 5489 0 R +/BaseFont /DKTHWZ+CMEX10 +/FontDescriptor 1353 0 R >> endobj -1343 0 obj << +1353 0 obj << /Ascent 40 /CapHeight 0 /Descent -600 -/FontName /QOFMHG+CMEX10 +/FontName /DKTHWZ+CMEX10 /ItalicAngle 0 /StemV 47 /XHeight 431 /FontBBox [-24 -2960 1454 772] /Flags 4 /CharSet 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A;9EV* ,$N2-o.r.9Orn8"C^>7RG .kyM> -\eYS$7)oߑѹҙi!Q邝~:2qy!KT; -g1ݿwzf 26u&!e?:'qgyX Ƒ1A{c d4ēR1#p%{]yۖiu)8 ׼Bsa"JnnWEGǔR>杖ZO5/Q c)/!Z '4 L'ߕl-};| -tՠ(7URFDN`1?9{1ٽ re;Lijš#6Usu_5$N {nQ_q5jVo6w+y[_lx+s_~UL*>>͏匬z}io_^ZH(dPٲJ+GqP -Fbu隭^ )3o9Xmئɬ~h,.%^Gop|"6'q2+Z!Loh^: }7Cg-bޮm]=zi_k=$A ~ -ID -*oey(Z2q[ZТ=nE1ҥk&O򐻸7<[CBtsXUj щe9 -GK-Ts_75l.S3ݷ\K=ˑa0w239 -C5·¨zm}s N`Z,6cM"71/ŨnHWt1Y]b"-ub`iDAnIInxY?~7HƯg̤z_B5|T -wtSOVa\ػ*j} )nkEB;`h_ҵìfA!0W$*W'8Ǘ:b/T6I䌁3)>fR=dzG6}]eCf){G~'CyGAك!NvMfQoVXgz5Nhs$ho _O7HRsitYD-zoŤyYTx'GiJj՜ʩU)Y01EPrƺDMEIĜ}&=!g/,Fg^LR8dq:Fc؀@LWj&g%Ͼq _4;}%iҮhS ?BM?8KLy^qp)BNf٩=b8m@Qr+ q -[6dPIR:"nzCͥUd8'Gҟ:^q &>%1h}o߱'e&ʢ|+kwEiRGVFWbt˭﫪}fEd2|N@庄 -h#敲N |&.Swrۅtyf紗w{VY76=֛*A9 -n`nh,|a_]rL;C4KN55 L\6 jv`2qa*.Oxtmn|;a?Aُ\'? -AOjs.3Аq뱭D&(7̀Q{&p\fsFQoM G'.Ĵ/Bܔ2DWsO 1FrPz'/$ƅ}w,<*靿Y%մR^TTOb+A}(S?/OiK;"Y%f̱5|RN&Z5Q>sDlw,N|{BE[˧,gc=kc =q|\eS t^$<*\?"Ѹ! &SQtُ -hHd}.͢X 舴~I~u= .@@zfbv..Pi]ؑ8լ TwVTV##|VR0M&5^* -0@A4uBK:4sc`2JwYb 8i?VTԭo3|иeGExFHVȄtD% q7Тlxɺt d"өD6Ipxn(}On4. -}?T7'LDTy)ЗGciZq dAwjN\Oy^;.\v_^ħL-\V6NhFޘ7^+]!}Nyl\zZ/ f=ՉU#CȡJ,7r)nWeF*S74=lw] 6iu%}-7Z1} D!O5=P>@++Eݲe_P[)} =O8wXM&˦ĜŕٽLbW&kv--k["Ҙͼ 0{mt%zg+΍'q>Ї5Į휻a+أQʒrqq;tVWgv4}>ݶzJ Zۼ|v UNNtYMؒHu3tfZz$ӻyuTΞ?vqd>J}fb1*ؖ >oFqxM_@ +/Length 5619 +/Filter /FlateDecode +>> +stream +xSWXSۺJmQ&UJ"7!@)HD^A4QiJW'}ֳOk110tø"t1hD @4ZDEpH ZC(%%ȀQ@1AX'8)h H8 p,0p$$ hP9#ܤ! $3\v G`Đb1 + c q/1FP0WD ! ESj3 ϪB5(B"nHp?CGGD,|6C~abo@, CBח?A1nH4q &vC@b^4#.- 1Xꟗ @@D= +7%@0,B~^4q/*!_ cy=꯺<E@/;B;7'b(I/ 4 +č~q!+Wk `bROog 17H[f_|v|!LCY~INjxkܶ[FA|EWɓ ޳\}dz^r̴I!AႭn:VT9C_m[3W==3uFbjG|츳<1Ayb%deDR#j0\!a#Q=J.b#K<OVHO#x.gf4^t0m +P%7-jMr!ӯO[\cbow̓H>>:^Lb{򥝂FU'rvYv~} K + 齘++,3+]Tk>Eaiۯc jX jZ/ ۾I JrE䥑wlm͐BU|ӚC?x!6lK\'<\}Y%R.pyL}~"J +njSEKǘ\>몔XO5/Q b4/ c' ',}l);%|u 7Vw#"Yo%yO0=N= 9TPG ʹ/šWx\#C =OMJүAGV85MK^̫cqϷ9J>x *&埊ŰGV=׾[n+SF]8q2E] wo))_^\H0ϠWJKG.Q8PDbiZ@Ϸ^HDf,oSgT=4|mzMW,"$ߦ pLJ!ܪ\-db5pw?$.K,(P_С4ؓHp,׭ z]B%SDv,mW +\]o8}mź>$I3. q[_eF:93pB5u]F %A>=ź3?ZH?d..F6gi;Le^x1ybNǘ>JsB.VT;< Cqri:Hvf˕u90[H$`4l=SxU T+xF=Ƕ-^ol݆f;t0>U[7&8UsIRGUiΑ{>*A_/݀7-zQ@b ʯ'Fkvg:ryT s Iuو~խY1yE7񬎛k!tS#?[6zɇFFl>'^oQG ?c"iuʪ^m䡐 ߥz|0썽sˤ6ߐ +Y/t֞_hy][?j/۩3(?ɪ( aLکM=~qԋqJv<.3ސEͲ4/j<ĵ(TɜXm3곱_5*+U$ _X1ȿV(S/ztaZ٬s3љy}<ma/vJKTg߉/¡iҮhc5ҷ!kUZmg<8!%UK TR1&(mt^ +8X|hƥ d^Wq)w(kҟ!YO/K8JZ˳"e([jaVtѕb*GY!tT>.|yG_gH&yc? 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a/Master/texmf-doc/doc/english/mathmode/Mathmode.tex b/Master/texmf-doc/doc/english/mathmode/Mathmode.tex index 676c57619b5..252cde0fd91 100644 --- a/Master/texmf-doc/doc/english/mathmode/Mathmode.tex +++ b/Master/texmf-doc/doc/english/mathmode/Mathmode.tex @@ -13,7 +13,7 @@ %% DESCRIPTION: %% `Mathmode' is a document how the math mode works inside LaTeX %% -\def\MathmodeVersion{2.16} +\def\MathmodeVersion{2.18} %\ifvtex\title{\logo Math mode - v.\MathmodeVersion}\else \ifpdf\title{Math mode - v.\MathmodeVersion}\else \title{\logo Math mode - v.\MathmodeVersion}\fi%\fi @@ -25,12 +25,13 @@ Zongbao Fang; Azzam Hassam; Martin Hensel; Morten H\o{}gholm; M. Kalidoss; Dan Lasley; - Angus Leeming; Tim Love; + Angus Leeming; Tim Love; Dan Luecking; Hendrik Maryns; Heinz Mezera; David Neuway; Joachim Punter; Carl Riehm; Will Robertson; Christoph Rumsm\"uller; - Jos\'e{} Carlos Santos; Rainer Schpf; Jens Schwaiger; Uwe Siart; Martin Sievers; Heiko Stamer; Uwe St\"ohr; + Jos\'e{} Carlos Santos; Arnaud Schmittbuhl; + Rainer Schpf; Jens Schwaiger; Uwe Siart; Martin Sievers; Heiko Stamer; Uwe St\"ohr; Carsten Thiel; David Weenink; Zou Yuan-Chuan; @@ -61,9 +62,10 @@ facts in this paper. An advanced german version of this paper is available as a \vspace{3cm} \noindent Please report typos or any other comments to this documentation to \href{mailto:voss@perce.de}{voss@perce.de}. -\noindent This document was written with the \LaTeX{} editor \verb+Kile 1.8+ \verb+(Qt 3.3+ \verb+KDE 3.4)+ -\href{http://sourceforge.net/projects/kile/}{http://sourceforge.net/projects/kile/} and the PDF output -was built with the Linux version of \texttt{V\TeX/Free}, Version 8.46 +\noindent This document was written with the \LaTeX{} editor \verb+Kile 1.8+ +\verb+(Qt 3.3+ \verb+KDE 3.4)+ +\href{http://sourceforge.net/projects/kile/}{http://sourceforge.net/projects/kile/} +and the PDF output was built with the Linux version of \texttt{V\TeX/Free}, Version 8.46 (\href{http://www.micropress-inc.com/linux/}{http://www.micropress-inc.com/linux/}) This file can be redistributed and/or modified under the terms @@ -2869,8 +2871,8 @@ math. \section{\texttt{align} environments} There are four different align environments, described in the following -subsections. Their behaviour is shown in table \ref{cap:align}. The -code for all align environments was: +subsections. Their behaviour is shown in table \ref{cap:align}. The symbolic +code for all align environments is: \begin{lstlisting} \begin{} @@ -2880,8 +2882,10 @@ code for all align environments was: \end{lstlisting} \begin{table}[htb] +\caption{Comparison between the different align environments +with the same code, where the first three can have an equation number}\label{cap:align} \begin{align*} -\framebox[0.125\columnwidth]{align} &= \framebox[0.125\columnwidth]{x} & \framebox[0.125\columnwidth]{x}&= & \framebox[0.125\columnwidth]{x}\\ +\framebox[0.125\columnwidth]{align} &= \framebox[0.125\columnwidth]{x} & \framebox[0.125\columnwidth]{x}&= \framebox[0.125\columnwidth]{x}\\ \framebox[0.125\columnwidth]{align}&= \framebox[0.1\columnwidth]{x} & \framebox[0.1\columnwidth]{x} &= \framebox[0.1\columnwidth]{x} \end{align*} @@ -2905,8 +2909,6 @@ code for all align environments was: \framebox[0.125\columnwidth]{xxalignat} &= \framebox[0.1\columnwidth]{x} & \framebox[0.1\columnwidth]{x} &= \framebox[0.1\columnwidth]{x} \end{xxalignat} -\caption{Comparison between the different align environments -with the same code, where the first three can have an equation number}\label{cap:align} \end{table} In difference to the \verb+eqnarray+ environment from standard \LaTeX{} @@ -3203,14 +3205,18 @@ The same code looks like: \end{equation} \end{lstlisting} -The \verb|aligned| environment is similar to the \verb|array|\index{array} environment, there exists no -starred version and it has only one equation number and has to be part of another math environment, which should be \verb|equation| environment. The advantage of \verb|aligned| is the much +The \verb|aligned| environment is similar to the \verb|array|\index{array} +environment, there exists no +starred version and it has only one equation number and has to be part of +another math environment, which should be \verb|equation| environment. +The advantage of \verb|aligned| is the much better horizontal and vertical spacing. %%% ----- Martin ----- \subsection{Problems} When using one of the \verb+align+ environments, there should be no \verb+\\+ at the -end of the last line, otherwise you'll get another equation number for this ``empty{}'' line: %%% ----- Martin ----- +end of the last line, otherwise you'll get another equation number for this +``empty{}'' line: %%% ----- Martin ----- \begin{showexample}[width=0.65\linewidth] \begin{align} @@ -3252,6 +3258,136 @@ exists. Look at section \vref{split} for an example. \end{itemize} +\subsection{\texttt{gathered} environment} +\marginpar{\CMD{begin\{gathered\}[c]\\...\\\CMD{end\{gathered\}}}} + +The \verb+gathered+ environment is like the \verb+aligned+ or \verb+alignedat+ +\index{gathered}\index{aligned}\index{alignedat} +environment. They use only so much horizontal space as the widest line needs. +In difference to the \verb+gather+ environment it must be itself inside the +math mode. +% +\begin{align} +\rule{2cm}{1pt} +\begin{gathered} +\quad i_{11}=0.25\\ +\quad i_{21}=\frac{1}{3}i_{11}\\ +\quad i_{31}=0.33i_{22} +\end{gathered} +\rule{2cm}{1pt} +\end{align} + +% +\begin{lstlisting} +\begin{align} +\rule{2cm}{1pt} +\begin{gathered} +\quad i_{11}=0.25\\ +\quad i_{21}=\frac{1}{3}i_{11}\\ +\quad i_{31}=0.33i_{22} +\end{gathered} +\rule{2cm}{1pt} +\end{align} +\end{lstlisting} +% + +The optional argument can be used for setting the vertical alignment which is +by default c (centered). It can also be t for top or b for bottom. + +\begin{align} +\rule{1cm}{1pt} +\begin{gathered}[t] +\quad A=a\\ +\quad B=b\\ +\quad C=c +\end{gathered} +% +\begin{gathered}[c] +\quad A=a\\ +\quad B=b\\ +\quad C=c +\end{gathered} +% +\begin{gathered}[b] +\quad A=a\\ +\quad B=b\\ +\quad C=c +\end{gathered} +\ \rule{1cm}{1pt} +\end{align} + +\begin{lstlisting} +\begin{align} +\rule{1cm}{1pt} +\begin{gathered}[t] +\quad A=a\\ +\quad B=b\\ +\quad C=c +\end{gathered} +% +\begin{gathered}[c] +\quad A=a\\ +\quad B=b\\ +\quad C=c +\end{gathered} +% +\begin{gathered}[b] +\quad A=a\\ +\quad B=b\\ +\quad C=c +\end{gathered} +\ \rule{1cm}{1pt} +\end{align} +\end{lstlisting} + + +When using a square bracket as first character inside the environment, then +everything is ignored by \AmS until a following closing bracket, because \AmS takes this +as an optional argument: +% +\begin{align} +\begin{gathered} +[A]\quad A=a\\ +[B]\quad B=b\\ +[C]\quad C=c +\end{gathered} +\end{align} +% +\begin{lstlisting} +\begin{align} +\begin{gathered} +[A]\quad A=a\\ +[B]\quad B=b\\ +[C]\quad C=c +\end{gathered} +\end{align} +\end{lstlisting} +% +The \verb+[A]+ is completely ignored, which can be avoided by using the +optional argument \verb+[c]+ or at least an empty one directly +after the \verb+\begin{gather}+. Another possibility is using the package \verb+empheq+, +which fixes this behaviour by default. +% +\begin{align} +\begin{gathered}[] +[A]\quad A=a\\ +[B]\quad B=b\\ +[C]\quad C=c +\end{gathered} +\end{align} +% +\begin{lstlisting} +\begin{align} +\begin{gathered}[] +[A]\quad A=a\\ +[B]\quad B=b\\ +[C]\quad C=c +\end{gathered} +\end{align} +\end{lstlisting} +% + + \subsection{\texttt{multline} environment} \marginpar{\CMD{begin\{multline\}\\...\\\CMD{end\{multline\}}}} This is also like a multi line% @@ -5220,14 +5356,15 @@ The following sections are not a replacement for the package documentation! \href{http://www.dante.de/CTAN//help/Catalogue/entries/icomma.html}{icomma}& \href{http://www.dante.de/CTAN//help/Catalogue/entries/leftidx.html}{leftidx}& \href{http://www.dante.de/CTAN//help/Catalogue/entries/mathdots.html}{mathdots}& -\href{http://www.dante.de/CTAN//help/Catalogue/entries/mathematica.html}{mathematica}\\ +\href{http://www.dante.de/CTAN//help/Catalogue/entries/mathtools.html}{mathtools}\\ +\href{http://www.dante.de/CTAN//help/Catalogue/entries/mathematica.html}{mathematica}& \href{http://www.dante.de/CTAN//help/Catalogue/entries/mil3.html}{mil3}& \href{http://www.dante.de/CTAN//help/Catalogue/entries/mtbe.html}{mtbe}& -\href{http://www.dante.de/CTAN//help/Catalogue/entries/nath.html}{Nath}& -\href{http://www.dante.de/CTAN//help/Catalogue/entries/numprint.html}{numprint}\\ +\href{http://www.dante.de/CTAN//help/Catalogue/entries/nath.html}{Nath}\\ +\href{http://www.dante.de/CTAN//help/Catalogue/entries/numprint.html}{numprint}& \href{http://www.dante.de/CTAN//help/Catalogue/entries/random.html}{random}& \href{http://www.dante.de/CTAN//help/Catalogue/entries/romannum.html}{romannum}& -\href{http://www.dante.de/CTAN//help/Catalogue/entries/texaide.html}{TeXaide}& +\href{http://www.dante.de/CTAN//help/Catalogue/entries/texaide.html}{TeXaide} \end{tabular} \end{center} @@ -5688,6 +5825,39 @@ installation, all symbols get the right size. \sum_{i=1}^{n}f\left(\cos\left(\frac{2i-1}{2n}\right)\right)\] \end{minipage}% +\section{\texttt{mathtools}}\label{sec:mathtools} +This package comes with a lot of additional features for setting math code. +Sometimes it is useful when only such equations are numbered which are +referenced in the text. This is possible with the switch \verb+\showonlyrefs+. + +Matrices are set by default with a centered horizontal alignment, which is +often not the best way. \verb+mathtools+ provides a starred version of +the matrix environments which allow an optional argument for the horizontal +alignment: + +\[ +\begin{pmatrix*}[r] + 1 & -1 & 0 \\ + -1 & 1 & -1 \\ + 1 & -1 & 0 \\ +-11 & 11 &-11 \\ +\end{pmatrix*} +\] + +\begin{lstlisting} +\[ +\begin{pmatrix*}[r] + 1 & -1 & 0 \\ + -1 & 1 & -1 \\ + 1 & -1 & 0 \\ +-11 & 11 &-11 \\ +\end{pmatrix*} +\] +\end{lstlisting} + +\verb+mathtools+ also provides a also some more environments for setting equations. + + \section{\texttt{relsize}}\label{sec:relsize} Often consecutives math operators are used, like two sum symbols, e.g.: \[ \sum\sum_{i=1}^n i^2 \] diff --git a/Master/texmf-doc/doc/english/mathmode/pstricks-add.tex b/Master/texmf-doc/doc/english/mathmode/pstricks-add.tex new file mode 100755 index 00000000000..01b77c4a427 --- /dev/null +++ b/Master/texmf-doc/doc/english/mathmode/pstricks-add.tex @@ -0,0 +1,3004 @@ +%% +%% This is file `pstricks-add.tex', +%% +%% IMPORTANT NOTICE: +%% +%% Package `pstricks-add.tex' +%% +%% Dominique Rodriguez +%% Herbert Voss +%% +%% This program can be redistributed and/or modified under the terms +%% of the LaTeX Project Public License Distributed from CTAN archives +%% in directory macros/latex/base/lppl.txt. +%% +%% DESCRIPTION: +%% `pstricks-add' is a PSTricks package for additionals to the standard +%% pstricks package +%% +\csname PSTricksAddLoaded\endcsname +\let\PSTricksAddLoaded\endinput +% +% Requires some packages +\ifx\PSTricksLoaded\endinput\else\input pstricks \fi +\ifx\PSTplotLoaded\endinput\else \input pst-plot \fi +\ifx\PSTnodesLoaded\endinput\else\input pst-node \fi +\ifx\MultidoLoaded\endinput\else \input multido \fi +\ifx\PSTXKeyLoaded\endinput\else \input pst-xkey \fi +% +\def\fileversion{2.80} +\def\filedate{2006/09/25} +\message{`pstricks-add' v\fileversion, \filedate\space (dr,hv)} +% +\edef\PstAtCode{\the\catcode`\@} \catcode`\@=11\relax +\SpecialCoor +\pst@addfams{pstricksadd} +% +%% prologue for postcript +\pstheader{pstricks-add.pro}% +%\pstheader{shfill_emulate.pro}% +% +%-------------------------------- pstricks ------------------------------------ +% +%%%%%%% \begin{pspicture} %%%%%%%%%%%%%%%%%%% +\newdimen\pst@dimm% +\newdimen\pst@dimn% +\newdimen\pst@dimo% +\newdimen\pst@dimp% +\newcount\pst@cntm% +\newcount\pst@cntn% +\newcount\pst@cnto% +\newcount\pst@cntp% +%\psset{dx=0}% +%\psset{dy=0}% +\newcount\@zero\@zero=0\relax +% +\def\psPiFour{12.566371} +\def\psPiTwo{6.283185} +\def\psPi{3.14159265} +\def\psPiH{1.570796327} +\newdimen\pstRadUnit +\newdimen\pstRadUnitInv +\pstRadUnit=1.047198cm % this is pi/3 +\pstRadUnitInv=0.95493cm % this is 3/pi +% +\def\pst@getdimdim#1 #2 #3\@nil{% + \def\pst@tempA{#2}% + \ifx\pst@tempA\@empty + \pssetlength\pst@dimn{#1}% + \pst@dimm=\z@% + \else% + \pssetlength\pst@dimm{#1}% + \pssetlength\pst@dimn{#2}% + \fi% +} +\def\pst@getxdimdim#1 #2 #3\@nil{% + \def\pst@tempA{#2}% + \ifx\pst@tempA\@empty + \pssetxlength\pst@dimn{#1}% + \pst@dimm=\z@ + \else% + \pssetxlength\pst@dimm{#1}% + \pssetxlength\pst@dimn{#2}% + \fi% +} +\def\pst@getydimdim#1 #2 #3\@nil{% + \def\pst@tempA{#2} + \ifx\pst@tempA\@empty + \pssetylength\pst@dimn{#1} + \pst@dimm=\z@ + \else + \pssetylength\pst@dimm{#1}% + \pssetylength\pst@dimn{#2}% + \fi% +} +% +% stolen from latex.ltx to make it TeX compatible +% +\def\@fornoop#1\@@#2#3{} +\long\def\@for#1:=#2\do#3{% + \expandafter\def\expandafter\@fortmp\expandafter{#2}% + \ifx\@fortmp\@empty \else + \expandafter\@forloop#2,\@nil,\@nil\@@#1{#3}\fi} +\long\def\@forloop#1,#2,#3\@@#4#5{\def#4{#1}\ifx #4\@nnil \else + #5\def#4{#2}\ifx #4\@nnil \else#5\@iforloop #3\@@#4{#5}\fi\fi} +\long\def\@iforloop#1,#2\@@#3#4{\def#3{#1}\ifx #3\@nnil + \expandafter\@fornoop \else + #4\relax\expandafter\@iforloop\fi#2\@@#3{#4}} +\def\psforeach#1#2#3{% + \begingroup + \edef\reserved@a{#2}% + \@for#1:=\reserved@a\do{#3}% + \endgroup +} +% +% A modulo macro for integer values +% \pst@mod{34}{6}\value ==> \value is 4 +% +\def\pst@mod#1#2#3{% + \begingroup% + \pst@cntm=#1\pst@cntn=#2\relax% + \pst@cnto=\pst@cntm% + \divide\pst@cntm by \pst@cntn% + \multiply\pst@cntn by \pst@cntm% + \advance\pst@cnto by -\pst@cntn% + \edef\value{\endgroup\def\noexpand#3{\number\pst@cnto}}\value% +} +\def\pst@max#1#2#3{% + \begingroup% + \pst@cntm=#1\pst@cntn=#2\relax% + \ifnum\pst@cntm<\pst@cntn\pst@cntm=\pst@cntn\fi + \global#3=\the\pst@cntm% + \endgroup% +} +\def\pst@maxdim#1#2#3{% + \begingroup% + \pst@dimm=#1\pst@dimn=#2\relax% + \ifdim\pst@dimm<\pst@dimn\pst@dimm=\pst@dimn\fi + \global#3=\the\pst@dimm% + \endgroup% +} +\def\pst@abs#1#2{% + \begingroup% + \pst@cntm=#1\relax% + \ifnum\pst@cntm<\z@\pst@cntm=-\pst@cntm\fi% + \global#2=\the\pst@cntm + \endgroup% +} +\def\pst@absdim#1#2{% + \begingroup% + \pst@dimm=#1\relax% + \ifdim\pst@dimm<\z@\pst@dimm=-\pst@dimm\fi% + \global#2=\the\pst@dimm% + \endgroup% +} +% +%--------------------------------------- small stuff ------------------------------- +% transalpha needs a run through latex -> dvips -> ps2pdf14(!) +% and view with Acrobat >= 5.0 +% use transpalpha= to the the opacity level +% +\define@key[psset]{pstricksadd}{transpalpha}{\pst@checknum{#1}\pstranspalpha } +%\psset[pstricksadd]{transpalpha=1} +\def\psfs@transparent{% + \addto@pscode{/Normal .setblendmode \pstranspalpha .setshapealpha }% + \psfs@solid} +% +\def\defineTColor{\@ifnextchar[{\defineTColor@i}{\defineTColor@i[]}} +\def\defineTColor@i[#1]#2#3{% "semi transparency colors" + \def\pst@tempA{#1}% + \newpsstyle{#2}{% + fillstyle=vlines,hatchwidth=0.1\pslinewidth, + hatchsep=1\pslinewidth,hatchcolor=#3}% + \ifx\pst@tempA\@empty\else\psset{#1}\fi% +} +\defineTColor{TRed}{red} +\defineTColor{TGreen}{green} +\defineTColor{TBlue}{blue} +% +\def\rmultiput{\def\pst@par{}\pst@ifstar{\@ifnextchar[{\rmultiput@i}{\rmultiput@i[]}}} +\def\rmultiput@i[#1]{\begingroup\psset{#1}\rmultiput@ii} +\def\rmultiput@ii#1{\def\@rmultiputArg{#1}% + \@ifnextchar({\rmultiput@iii}{\rmultiput@iii(\z@,\z@)}} +\def\rmultiput@iii(#1){% + \pst@killglue% + \if@star\rput*(#1){\@rmultiputArg} + \else\rput(#1){\@rmultiputArg}% + \fi + \@ifnextchar({\rmultiput@iii}{\endgroup}% +} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%% \psrotation(x,y){a}{objet} %%% +%%% construit l'image de %%% +%%% par la rotation de centre (x,y) %%% +%%% et d'angle a. %%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\def\psrotate{\pst@object{psrotate}} % idea from Jean-Ce Charpentier +\def\psrotate@i(#1,#2)#3#4{% + \pst@killglue + \begin@SpecialObj% + \addto@pscode{% + #1 \pst@number\psxunit mul #2 \pst@number\psyunit mul translate + #3 rotate -1 -1 scale + #1 \pst@number\psxunit mul #2 \pst@number\psyunit mul translate + -1 -1 scale + }% + #4% + \end@SpecialObj% +} +% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Begin patch TN; Date (YY-MM-DD): 04-07-17; first part +\define@key[psset]{}{dash}{% defined in pstricks.tex + \pst@expandafter\psset@@dash{#1}\@nil% Error handling for empty argument. +} +\define@key[psset]{pstricksadd}{maxdashes}{\def\psk@maxdashes{#1}} +%\psset{maxdashes=11} +\def\psset@@dash#1\@nil{% + \def\psk@dash{}% + % modification 04-08-07: + \pst@cntm0 + \def\next##1 ##2\relax{% + \expandafter\ifnum\psk@maxdashes>\pst@cntm\relax% 04-08-07 + \edef\@tempa{##1}% + \ifx\@tempa\@empty\else% gobble leading spaces + \pssetlength\pst@dimc{##1}% + \advance\pst@cntm by 1 + \edef\psk@dash{\psk@dash\space\pst@number\pst@dimc}% + \fi% + \edef\@tempa{##2}% + \ifx\@tempa\@empty\else% detect end + \ifx\@tempa\space\else% gobble trailing spaces + \next##2\relax% + \fi\fi% + \else% 04-08-07 + \@pstrickserr{Number of dashes > \psk@maxdashes. Increasing + 'maxdashes' might work.}\@ehpa% 04-08-07 + \fi% 04-08-07 + }% +\expandafter\next#1 \relax} +%% End patch TN; Date (YY-MM-DD): 04-07-17; 1st part +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% +%\psset{dash=5pt 3pt}% black white black white +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Begin patch TN; Date (YY-MM-DD): 04-07-17; 2nd part +\def\psls@dashed{% + \ifpsdashadjust + [ \psk@dash ] \pst@linetype\space \tx@DashLine + \else + [ \psk@dash ] 0 setdash stroke + \fi} +%% End patch TN; Date (YY-MM-DD): 04-07-17; 2nd part +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%----------------------------------------------------------------------------------- +\pst@def{DashLine}< + dup 0 gt + { /a .5 def PathLength exch div } + { pop /a 1 def PathLength } ifelse + /b ED % pattern should fit evenly in b + dup /X ED % pattern array + 0 get /y ED % length of first black segment + /z 0 X {add} forall def % length of the full pattern + %% Computation of the scaling factor as described by van Zandt: + b a .5 sub 2 mul y mul sub z Div round + z mul a .5 sub 2 mul y mul add b exch Div + %%%% scaling factor on stack. + /z ED %% now, z is the scaling factor + false % for the length test below + X { z mul } forall X astore %% modification TN 04-08-07 + %%% Checking whether at least one dash in X has positive length: + {0 gt or} forall + { X 1 a sub y mul } + { [ 1 0 ] 0 } + ifelse + setdash stroke > +%% TN end patch; Date (YY-MM-DD): 04-07-17; +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% +% +\define@key[psset]{pstricksadd}{intSeparator}{\def\psk@intSeparator{#1}} +%\psset{intSeparator={,}} +% +\def\psFormatInt{\def\pst@par{}\pst@object{psFormatInt}} +\def\psFormatInt@i#1{{% + \pst@killglue + \use@par + \count1=#1\count2=\count1 + \ifnum\count1=0 0\else + \ifnum\count1>999999 + \count3=\count1 + \divide\count3 by 1000000 + \the\count3\psk@intSeparator\relax + \multiply\count3 by 1000000 + \advance\count1 by -\count3 % modulo 1000000 + \fi% + \ifnum\count2>999 + \count3=\count1 + \divide\count3 by 1000 + \ifnum\count2>99999 + \ifnum\count3<100 0\fi + \ifnum\count3<10 0\fi + \fi% + \the\count3\psk@intSeparator\relax + \multiply\count3 by 1000 + \advance\count1 by -\count3 %modulo 1000 + \fi% + \ifnum\count2>999 + \ifnum\count1<100 0\fi + \ifnum\count1<10 0\fi + \fi% + \the\count1 + \fi% +}\ignorespaces} +% +\newdimen\pst@braceWidth +\define@key[psset]{pstricksadd}{braceWidth}{\pssetlength\pst@braceWidth{#1}} +\define@key[psset]{pstricksadd}{bracePos}{\def\psk@bracePos{#1}} +%\psset{braceWidth=10pt,bracePos=0.5} +% +\def\@@rput@iv(#1){\pst@killglue\pst@makebox{\@@rput@v{#1}}} +\def\@@rput@v#1{% + \begingroup + \use@par + \pst@makesmall\pst@hbox + \pst@Verb{% + Alpha 90 sub \pst@number\pst@braceWidth 0 lt {180 add} if + \ifx\psk@rot\@empty\else\psk@rot add \fi + /rotAngle exch def + }% + \setbox\pst@hbox=\hbox{% + \pst@Verb{rotAngle \tx@RotBegin}% + \box\pst@hbox\pst@Verb{\tx@RotEnd}% + }% + \psput@{#1}\pst@hbox + \endgroup + \ignorespaces% +} +% +\def\psbrace{\pst@object{psbrace}} +\def\psbrace@i(#1)(#2)#3{% + \addbefore@par{ArrowInside=-,linearc=2mm,linewidth=1pt,% + nodesepA=0pt,nodesepB=0pt,bracePos=0.5}% the default + \begin@SpecialObj + \use@par% + \pst@getcoor{#1}\pst@tempA% + \pst@getcoor{#2}\pst@tempB% + \pnode(!% + /bW2 \pst@number\pst@braceWidth \pst@number\psyunit div 2.0 div def + \pst@tempA /YA exch \pst@number\psyunit div def + /XA exch \pst@number\psxunit div def + \pst@tempB /YB exch \pst@number\psyunit div def + /XB exch \pst@number\psxunit div def + /Alpha YB YA sub XB XA sub atan def + /xMid XB XA sub \psk@bracePos\space mul XA add def + /yMid YB YA sub \psk@bracePos\space mul YA add def + /@deltaX Alpha sin bW2 mul def + /@deltaY Alpha cos bW2 mul def + /@xTemp xMid @deltaX 2 mul add def + /@yTemp yMid @deltaY 2 mul sub def + @xTemp @yTemp){@tempNode}% + \pst@getcoor{@tempNode}\pst@tempC% + \@@rput@iv(! % + \pst@tempC /Yc exch def + /Xc exch def + Xc \psk@nodesepA\space add \pst@number\psxunit div + Yc \psk@nodesepB\space add \pst@number\psyunit div ){#3} + \psline(#1)% + (! XA @deltaX add YA @deltaY sub)% + (! @xTemp @deltaX sub @yTemp @deltaY add)(@tempNode)% + \psline(@tempNode)% + (! @xTemp @deltaX sub @yTemp @deltaY add)% + (! XB @deltaX add YB @deltaY sub)(#2)% + \end@SpecialObj + \ignorespaces} +% +% -------------- the arrow part ------------- +% the original table +% \def\pst@arrowtable{,<->,<<->>,>-<,>>-<<,(-),[-],)-(,]-[,|>-<|} +% +% HookLeft/RightArrow +\newdimen\pshooklength +\newdimen\pshookwidth +\define@key[psset]{pstricksadd}{hooklength}{\pssetlength\pshooklength{#1}} +\define@key[psset]{pstricksadd}{hookwidth}{\pssetlength\pshookwidth{#1}} +%\psset{hooklength=3mm,hookwidth=1mm} +% +\edef\pst@arrowtable{\pst@arrowtable,H-H,h-h} % add new arrow +\def\tx@RHook{RHook } % PostScript name +\def\tx@Rhook{Rhook } % PostScript name +\@namedef{psas@H}{% + /RHook { + /x ED % hook width + /y ED % hook length + /z CLW 2 div def % save it + x y moveto % goto first point + x 0 0 0 0 y + curveto % draw Bezier + stroke + 0 y moveto % define current point + } def + \pst@number\pshooklength + \pst@number\pshookwidth + \tx@RHook +} +\@namedef{psas@h}{% + /Rhook { + CLW mul % size * CLW + add dup % +length size*CLW+length size*CLW+length + 2 div /w ED % (size*CLW+length)/2 -> w + mul dup /h ED mul % (size*CLW+length) + /a ED + w neg h abs moveto 0 0 L + gsave + stroke grestore + } def + 0 \psk@arrowlength \psk@arrowsize \tx@Rhook +} +% New parameter "arrowfill", with default as "true" +\define@boolkey[psset]{pstricksadd}[ps]{ArrowFill}[true]{} +% +% Modification of the PostScript macro Arrow to choose to fill or not the arrow +% (it require to restore the current linewidth, despite of the scaling) +\pst@def{Arrow}<{% + CLW mul add dup 2 div + /w ED mul dup + /h ED mul + /a ED { 0 h T 1 -1 scale } if + gsave + \ifpsArrowFill\else\pst@number\pslinewidth \pst@arrowscale\space div SLW \fi + w neg h moveto + 0 0 L w h L w neg a neg rlineto + \ifpsArrowFill gsave fill grestore \else gsave closepath stroke grestore \fi + grestore + 0 h a sub moveto +}> +% +\define@key[psset]{pstricksadd}{nArrowsA}{\def\psk@nArrowsA{#1}} +\define@key[psset]{pstricksadd}{nArrowsB}{\def\psk@nArrowsB{#1}} +\define@key[psset]{pstricksadd}{nArrows}{\def\psk@nArrowsA{#1}\def\psk@nArrowsB{#1}} +%\psset{nArrows=2} +% +\@namedef{psas@>>}{% + \psk@nArrowsA\space 1 sub { + false \psk@arrowinset \psk@arrowlength \psk@arrowsize \tx@Arrow + 0 h a sub T + } repeat + gsave + newpath + false \psk@arrowinset \psk@arrowlength \psk@arrowsize \tx@Arrow + CP + grestore + moveto +} +% +\@namedef{psas@<<}{% + true \psk@arrowinset \psk@arrowlength \psk@arrowsize \tx@Arrow + 0 h neg a add T + \psk@nArrowsB\space 2 sub { + false \psk@arrowinset \psk@arrowlength \psk@arrowsize \tx@Arrow + 0 h neg a add T + } repeat + false \psk@arrowinset \psk@arrowlength \psk@arrowsize \tx@Arrow + 0 h a 5 mul 2 div sub moveto +} +% +% DG addition begin - Dec. 18/19, 1997 and Oct. 11, 2002 +% Adapted from \psset@arrows + \def\psk@ArrowInside{} + \define@key[psset]{pstricksadd}{ArrowInside}{% + \def\pst@tempA{#1}% + \ifx\pst@tempA\@empty \def\psk@ArrowInside{} % + \else% + \begingroup% + \pst@activearrows% + \xdef\pst@tempg{<#1}% + \endgroup% + \expandafter\psset@@ArrowInside\pst@tempg\@empty-\@empty\@nil% + \if@pst\else\@pstrickserr{Bad intermediate arrow specification: #1}\@ehpa\fi% + \fi% +} +% Adapted from \psset@@arrows +\def\psset@@ArrowInside#1-#2\@empty#3\@nil{% + \@psttrue + \def\next##1,#1-##2,##3\@nil{\def\pst@tempg{##2}}% + \expandafter\next\pst@arrowtable,#1-#1,\@nil + \@ifundefined{psas@#2}% + {\@pstfalse\def\psk@ArrowInside{}}% + {\def\psk@ArrowInside{#2}}% +} +% Default value empty +%\psset{ArrowInside={}} +% Modified version of \pst@addarrowdef +\def\pst@addarrowdef{% + \addto@pscode{% + /ArrowA { + \ifx\psk@arrowA\@empty + \pst@oplineto + \else + \pst@arrowdef{A} + moveto + \fi + } def + /ArrowB { + \ifx\psk@arrowB\@empty \else \pst@arrowdef{B} \fi + } def +% DG addition + /ArrowInside { + \ifx\psk@ArrowInside\@empty \else \pst@arrowdefA{Inside} \fi + } def + }% +} +% Adapted from \pst@arrowdef +\def\pst@arrowdefA#1{% + \ifnum\pst@repeatarrowsflag>\z@ + /Arrow#1c [ 6 2 roll ] cvx def Arrow#1c + \fi + \tx@BeginArrow + \psk@arrowscale + \@nameuse{psas@\@nameuse{psk@Arrow#1}} + \tx@EndArrow% +} +% ArrowInsidePos parameter (default value 0.5) +\define@key[psset]{pstricksadd}{ArrowInsidePos}{\pst@checknum{#1}\psk@ArrowInsidePos}% +%\psset{ArrowInsidePos=0.5} +% +% Modified version of \begin@ClosedObj +\def\begin@ClosedObj{% + \leavevmode + \pst@killglue + \begingroup + \use@par + \solid@star + \ifpsdoubleline \pst@setdoublesep \fi + \pst@addarrowdef% DG addition + \init@pscode% +} +% +% Redefinition of the PostScript /Line macro to print the intermediate +% arrow on each segment of the line +% +\define@key[psset]{pstricksadd}{ArrowInsideNo}{\pst@checknum{#1}\psk@ArrowInsideNo}% hv 20031001 +\define@key[psset]{pstricksadd}{ArrowInsideOffset}{\pst@checknum{#1}\psk@ArrowInsideOffset}% hv 20031001 +%\psset{ArrowInsideNo=1,ArrowInsideOffset=0} +% +\def\arrowType@H{H} +\pst@def{Line}<{% + NArray n 0 eq not { n 1 eq { 0 0 /n 2 def } if + (\psk@ArrowInside) length 0 gt { + \ifx\psk@arrowA\arrowType@H % do we have a Hook arrow at the beginning? + \pst@number\pshooklength % yes + \else + \psk@arrowsize\space CLW mul add dup \psk@arrowlength\space mul exch \psk@arrowinset mul neg add + \fi + /arrowlength exch def + 4 copy % copy all four values for the arrow line + /y1 ED /x1 ED /y2 ED /x2 ED % save them + /Alpha y2 y1 sub x2 x1 sub atan def % the gradient of the line +% 2 copy /y1 ED /x1 ED ArrowA x1 y1 + ArrowA % draw arrowA + x1 Alpha cos arrowlength mul add % dx add + y1 Alpha sin arrowlength mul add % dy add, to get the current point at the end of the arrow tip + /n n 1 sub def + n { + 4 copy + /y1 ED /x1 ED /y2 ED /x2 ED + x1 y1 + \psk@ArrowInsidePos\space 1 gt { + /Alpha y2 y1 sub x2 x1 sub atan def + /ArrowPos \psk@ArrowInsideOffset\space def + /Length x2 x1 sub y2 y1 sub Pyth def + /dArrowPos \psk@ArrowInsidePos\space abs def + { + /ArrowPos ArrowPos dArrowPos add def + ArrowPos Length gt { exit } if + x1 Alpha cos ArrowPos mul add + y1 Alpha sin ArrowPos mul add + ArrowInside + pop pop + } loop + }{ + /ArrowPos \psk@ArrowInsideOffset\space def + /dArrowPos \psk@ArrowInsideNo 1 gt {% + 1.0 \psk@ArrowInsideNo 1.0 add div + }{\psk@ArrowInsidePos } ifelse def + \psk@ArrowInsideNo\space cvi { + /ArrowPos ArrowPos dArrowPos add def + x2 x1 sub ArrowPos mul x1 add + y2 y1 sub ArrowPos mul y1 add + ArrowInside + pop pop + } repeat + } ifelse + pop pop Lineto + } repeat + }{ ArrowA /n n 2 sub def n { Lineto } repeat } ifelse + CP 4 2 roll ArrowB L pop pop } if% +}> +% +% Redefinition of the PostScript /Polygon macro to print the intermediate +% arrow on each segment of the line +\pst@def{Polygon}<{% + NArray n 2 eq { 0 0 /n 3 def } if + n 3 lt { + n { pop pop } repeat + }{ + n 3 gt { CheckClosed } if + n 2 mul -2 roll + /y0 ED + /x0 ED + /y1 ED + /x1 ED + /xx1 x1 def + /yy1 y1 def + x1 y1 + /x1 x0 x1 add 2 div def + /y1 y0 y1 add 2 div def + x1 y1 moveto + /n n 2 sub def + /drawArrows { + x11 y11 + \psk@ArrowInsidePos\space 1 gt { + /Alpha y12 y11 sub x12 x11 sub atan def + /ArrowPos \psk@ArrowInsideOffset\space def + /Length x12 x11 sub y12 y11 sub Pyth def + /dArrowPos \psk@ArrowInsidePos\space abs def + { + /ArrowPos ArrowPos dArrowPos add def + ArrowPos Length gt { exit } if + x11 Alpha cos ArrowPos mul add + y11 Alpha sin ArrowPos mul add + currentdict /ArrowInside known { ArrowInside } if + pop pop + } loop + }{ + /ArrowPos \psk@ArrowInsideOffset\space def + /dArrowPos \psk@ArrowInsideNo\space 1 gt {% + 1.0 \psk@ArrowInsideNo\space 1.0 add div + }{ \psk@ArrowInsidePos } ifelse def + \psk@ArrowInsideNo\space cvi { + /ArrowPos ArrowPos dArrowPos add def + x12 x11 sub ArrowPos mul x11 add + y12 y11 sub ArrowPos mul y11 add + currentdict /ArrowInside known { ArrowInside } if + pop pop + } repeat + } ifelse + pop pop Lineto + } def + n { + 4 copy + /y11 ED /x11 ED /y12 ED /x12 ED + drawArrows + } repeat + x1 y1 x0 y0 + 6 4 roll + 2 copy + /y11 ED /x11 ED /y12 y0 def /x12 x0 def + drawArrows + /y11 y0 def /x11 x0 def /y12 yy1 def /x12 xx1 def + drawArrows + pop pop + closepath + } ifelse % +}> +% +% +% Redefinition of the PostScript /OpenBezier macro to print the intermediate +% arrow +\pst@def{OpenBezier}<{% + /dArrowPos \psk@ArrowInsideNo 1 gt {% + 1.0 \psk@ArrowInsideNo 1.0 add div + }{ \psk@ArrowInsidePos } ifelse def + BezierNArray + n 1 eq { pop pop + }{ 2 copy + /y0 ED /x0 ED + ArrowA + n 4 sub 3 idiv { 6 2 roll 4 2 roll curveto } repeat + 6 2 roll + 4 2 roll + ArrowB + /y3 ED /x3 ED /y2 ED /x2 ED /y1 ED /x1 ED + /cx x1 x0 sub 3 mul def + /cy y1 y0 sub 3 mul def + /bx x2 x1 sub 3 mul cx sub def + /by y2 y1 sub 3 mul cy sub def + /ax x3 x0 sub cx sub bx sub def + /ay y3 y0 sub cy sub by sub def + /getValues { + ax t0 3 exp mul bx t0 t0 mul mul add cx t0 mul add x0 add + ay t0 3 exp mul by t0 t0 mul mul add cy t0 mul add y0 add + ax t 3 exp mul bx t t mul mul add cx t mul add x0 add + ay t 3 exp mul by t t mul mul add cy t mul add y0 add + } def + /getdL { + getValues + 3 -1 roll sub 3 1 roll sub Pyth + } def + /CurveLength { + /u 0 def + /du 0.01 def + 0 100 { + /t0 u def + /u u du add def + /t u def + getdL add + } repeat } def + /GetArrowPos { + /ende \psk@ArrowInsidePos\space 1 gt + {ArrowPos} + {ArrowPos CurveLength mul} ifelse def + /u 0 def + /du 0.01 def + /sum 0 def + { /t0 u def + /u u du add def + /t u def + /sum getdL sum add def + sum ende gt {exit} if + } loop u + } def + /ArrowPos \psk@ArrowInsideOffset\space def + /loopNo \psk@ArrowInsidePos\space 1 gt {% + CurveLength \psk@ArrowInsidePos\space div cvi + }{ \psk@ArrowInsideNo } ifelse def + loopNo cvi { + /ArrowPos ArrowPos dArrowPos add def + /t GetArrowPos def + /t0 t 0.95 mul def + getValues + ArrowInside pop pop pop pop + } repeat + x1 y1 x2 y2 x3 y3 curveto + } ifelse +}> +% +% Redefinition of the PostScript /NCLine macro to print the intermediate +% arrow of the line +\pst@def{NCLine}<{% + NCCoor + tx@Dict begin + ArrowA CP 4 2 roll ArrowB + 4 copy + /y2 ED /x2 ED /y1 ED /x1 ED + x1 y1 + \psk@ArrowInsidePos\space 1 gt { + /Alpha y2 y1 sub x2 x1 sub atan def + /ArrowPos \psk@ArrowInsideOffset\space def + /Length x2 x1 sub y2 y1 sub Pyth def + /dArrowPos \psk@ArrowInsidePos\space abs def + {% + /ArrowPos ArrowPos dArrowPos add def + ArrowPos Length gt { exit } if + x1 Alpha cos ArrowPos mul add + y1 Alpha sin ArrowPos mul add + ArrowInside + pop pop + } loop + }{% + /ArrowPos \psk@ArrowInsideOffset\space def + /dArrowPos \psk@ArrowInsideNo 1 gt {% + 1.0 \psk@ArrowInsideNo 1.0 add div + }{ \psk@ArrowInsidePos } ifelse def + \psk@ArrowInsideNo\space cvi { + /ArrowPos ArrowPos dArrowPos add def + x2 x1 sub ArrowPos mul x1 add + y2 y1 sub ArrowPos mul y1 add + ArrowInside + pop pop + } repeat + } ifelse + pop pop lineto pop pop + end% +}> +% +\pst@def{NCCurve}<{% + GetEdgeA GetEdgeB + xA1 xB1 sub yA1 yB1 sub + Pyth 2 div dup 3 -1 roll mul + /ArmA ED + mul + /ArmB ED + /ArmTypeA 0 def + /ArmTypeB 0 def + GetArmA GetArmB + xA2 yA2 xA1 yA1 + 2 copy + /y0 ED /x0 ED + tx@Dict begin + ArrowA + end + xB2 yB2 xB1 yB1 + tx@Dict begin + ArrowB + end + /y3 ED /x3 ED /y2 ED /x2 ED /y1 ED /x1 ED + /cx x1 x0 sub 3 mul def + /cy y1 y0 sub 3 mul def + /bx x2 x1 sub 3 mul cx sub def + /by y2 y1 sub 3 mul cy sub def + /ax x3 x0 sub cx sub bx sub def + /ay y3 y0 sub cy sub by sub def + /getValues { + ax t0 3 exp mul bx t0 t0 mul mul add cx t0 mul add x0 add + ay t0 3 exp mul by t0 t0 mul mul add cy t0 mul add y0 add + ax t 3 exp mul bx t t mul mul add cx t mul add x0 add + ay t 3 exp mul by t t mul mul add cy t mul add y0 add + } def + /getdL { + getValues + 3 -1 roll sub 3 1 roll sub Pyth + } def + /CurveLength { + /u 0 def + /du 0.01 def + 0 100 { + /t0 u def + /u u du add def + /t u def + getdL add + } repeat } def + /GetArrowPos { + /ende \psk@ArrowInsidePos\space 1 gt {ArrowPos}{ArrowPos CurveLength mul} ifelse def + /u 0 def + /du 0.01 def + /sum 0 def + { + /t0 u def + /u u du add def + /t u def + /sum getdL sum add def + sum ende gt {exit} if + } loop u + } def + /dArrowPos \psk@ArrowInsideNo 1 gt {% + 1.0 \psk@ArrowInsideNo 1.0 add div + }{ \psk@ArrowInsidePos } ifelse def + /ArrowPos \psk@ArrowInsideOffset\space def + /loopNo \psk@ArrowInsidePos\space 1 gt {% + CurveLength \psk@ArrowInsidePos\space div cvi + }{ \psk@ArrowInsideNo } ifelse def + loopNo cvi { + /ArrowPos ArrowPos dArrowPos add def + /t GetArrowPos def + /t0 t 0.95 mul def + getValues + ArrowInside pop pop pop pop + } repeat + x1 y1 x2 y2 x3 y3 curveto + /LPutVar [ xA1 yA1 xA2 yA2 xB2 yB2 xB1 yB1 ] cvx def + /LPutPos { t LPutVar BezierMidpoint } def + /HPutPos { { HPutLines } HPutCurve } def + /VPutPos { { VPutLines } HPutCurve } def +}> +% +%\def\psDashColorI{black} +%\def\psDashColorII{red} +\define@key[psset]{pstricksadd}{dashColorI}{\pst@getcolor{#1}\psDashColorI} +\define@key[psset]{pstricksadd}{dashColorII}{\pst@getcolor{#1}\psDashColorII} +\define@key[psset]{pstricksadd}{dashNo}{\def\psk@dashNo{#1}} +% +\define@key[psset]{pstricksadd}{linecap}{\def\psk@linecap{#1}} +%\psset{dashColorI=black,dashColorII=red,dashNo=0.2,linecap=0} +% +\pst@def{LineII}<{% + NArray + /n n 1 sub def + /y1 ED /x1 ED x1 y1 ArrowA x1 y1 moveto + \psk@linecap\space 3 gt + {\psk@linecap\space 0 lt {0 setlinecap} if } + {\psk@linecap\space setlinecap} ifelse + n { + /y2 ED /x2 ED + /y0 y1 def /x0 x1 def + /length x2 x1 sub y2 y1 sub Pyth def + \psk@dashNo\space 1.0 lt + {/cntMax 1.0 \psk@dashNo\space div .49 add cvi def} + {/cntMax length \psk@dashNo\space div .49 add cvi def} ifelse + x2 x1 sub cntMax div /dx ED + y2 y1 sub cntMax div /dy ED + /cnt 0 def + cntMax { + gsave + /x1 x1 dx add def + /y1 y1 dy add def + x1 y1 + cnt 2 mod 0 eq + { \pst@usecolor\psDashColorI } + { \pst@usecolor\psDashColorII } ifelse + lineto stroke + /cnt cnt 1 add def + grestore + x1 y1 moveto + } repeat + /y1 y2 def /x1 x2 def + } repeat + x0 y0 x2 y2 ArrowB L pop pop +}> +% +\def\pslineII{\pst@object{pslineII}} +\def\pslineII@i{% + \pst@getarrows{% + \begin@OpenObj + \pst@getcoors[\pslineII@ii% + }% +} +\def\pslineII@ii{% + \addto@pscode{% + \pst@cp + \ifshowpoints true \else false \fi + \tx@LineII + }% + \end@OpenObj% +} +% +\define@key[psset]{pstricksadd}{randomPoints}{\def\psk@randomPoints{#1}} +\define@boolkey[psset]{pstricksadd}[Pst@]{color}[true]{} +%\psset{randomPoints=1000,color=false} +% +\def\psRandom{\pst@object{psRandom}}% hv 2004-11-12 +\def\psRandom@i{\@ifnextchar({\psRandom@ii}{\psRandom@iii(0,0)(1,1)}} +\def\psRandom@ii(#1){\@ifnextchar({\psRandom@iii(#1)}{\psRandom@iii(0,0)(#1)}} +\def\psRandom@iii(#1)(#2)#3{% + \def\pst@tempA{#3}% + \ifx\pst@tempA\pst@empty\psclip{\psframe(#2)}\else\psclip{#3}\fi + \pst@getcoor{#1}\pst@tempA + \pst@getcoor{#2}\pst@tempB + \begin@SpecialObj + \addto@pscode{ + \pst@tempA\space /yMin exch def + /xMin exch def + \pst@tempB\space /yMax exch def + /xMax exch def + /dy yMax yMin sub def + /dx xMax xMin sub def + rrand srand % initializes the random generator + /getRandReal { rand 2147483647 div } def + \psk@dotsize % defines /DS ... def + \@nameuse{psds@\psk@dotstyle} + \psk@randomPoints { + \ifPst@color getRandReal getRandReal getRandReal setrgbcolor \fi + getRandReal dx mul xMin add + getRandReal dy mul yMin add + Dot + \ifx\psk@fillstyle\psfs@solid fill \fi stroke + } repeat + }% + \end@SpecialObj + \endpsclip + \ignorespaces +} +% +% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%% %%%%%%%%%% +%%%%%%%%%%% pst-node %%%%%%%%%% +%%%%%%%%%%% %%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% +% This fixes a bug in pst-node, where the XY-direction is wrong +% the types are changed 1<->2 between X<->Y +% +\define@key[psset]{}{XnodesepA}{% + \pst@getlength{#1}\psk@nodesepA + \def\psk@nodeseptypeA{2 }% +} +\define@key[psset]{}{XnodesepB}{% + \pst@getlength{#1}\psk@nodesepB + \def\psk@nodeseptypeB{2 }% +} +\define@key[psset]{}{Xnodesep}{% + \pst@getlength{#1}\psk@nodesepA + \let\psk@nodesepB\psk@nodesepA + \def\psk@nodeseptypeA{2 }% + \def\psk@nodeseptypeB{2 }% +} +\define@key[psset]{}{YnodesepA}{% + \pst@getlength{#1}\psk@nodesepA + \def\psk@nodeseptypeA{1 }% +} +\define@key[psset]{}{YnodesepB}{% + \pst@getlength{#1}\psk@nodesepB + \def\psk@nodeseptypeB{1 }% +} +\define@key[psset]{}{Ynodesep}{% + \pst@getlength{#1}\psk@nodesepA + \let\psk@nodesepB\psk@nodesepA + \def\psk@nodeseptypeA{1 }% + \def\psk@nodeseptypeB{1 }% +} +% +\pst@def{NCLineII}<{ + NCCoor + /y1 ED /x1 ED x1 y1 ArrowA x1 y1 moveto + /y2 ED /x2 ED + /y0 y1 def /x0 x1 def + /length x2 x1 sub y2 y1 sub Pyth def + \psk@dashNo\space 1.0 lt + {/cntMax 1.0 \psk@dashNo\space div .49 add cvi def} + {/cntMax length \psk@dashNo\space div .49 add cvi def} ifelse + x2 x1 sub cntMax div /dx ED + y2 y1 sub cntMax div /dy ED + /cnt 0 def + cntMax { + gsave + /x1 x1 dx add def + /y1 y1 dy add def + x1 y1 + cnt 2 mod 0 eq + { \pst@usecolor\psDashColorI } + { \pst@usecolor\psDashColorII } ifelse + lineto stroke + /cnt cnt 1 add def + grestore + x1 y1 moveto + } repeat + x0 y0 x2 y2 ArrowB L pop pop% +}> +% +\def\nclineII{\pst@object{nclineII}}% +\def\nclineII@i{\check@arrow{\nclineII@ii}}% +\def\nclineII@ii#1#2{\nc@object{Open}{#1}{#2}{.5}% + {\tx@NCLineII /LPutPos { xB yB xA yA \tx@LPutLine } def}% +}% +\def\pclineII{\pst@object{pclineII}}% +\def\pclineII@i{\pc@object\nclineII@ii}% +% +\define@key[psset]{pstricksadd}{lineAngle}{\psset{armB=0.5}\def\psk@lineAngle{#1}}% +%\psset{lineAngle=0}% +% +\pst@def{NCDiag}<{ + GetEdgeA GetEdgeB GetArmA GetArmB mark + \psk@lineAngle\space abs 0 gt { + /xTemp xA2 10 add def + /yTemp yA2 \psk@lineAngle\space dup sin exch cos div 10 mul add def + /dY1 yTemp yA2 sub def + /dX1 xTemp xA2 sub def + /dY2 yB2 yB1 sub def + /dX2 xB2 xB1 sub def + dX1 abs 0.01 lt { + /m2 dY2 dX2 div def + /xB2 xA2 def + /yB2 xA2 xB1 sub m2 mul yB1 add def + }{ + dX2 abs 0.01 lt { + /m1 dY1 dX1 div def + /xB2 xB1 def + /yB2 xB1 xA2 sub m1 mul yA2 add def + }{% + /m1 dY1 dX1 div def + /m2 dY2 dX2 div def + /xB2 m1 xA2 mul m2 xB1 mul sub yA2 sub yB1 add m1 m2 sub div def + /yB2 xB2 xA2 sub m1 mul yA2 add def + } ifelse + } ifelse + } if + ArmB 0 ne { xB1 yB1 } if + xB2 yB2 + xA2 yA2 + ArmA 0 ne { xA1 yA1 } if + tx@Dict begin false Line end + /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def + /LPutPos { LPutLines } def + /HPutPos { HPutLines } def + /VPutPos { VPutLines } def +}> +% hv 2003-12-22 +\pst@def{NCDiagg}<{ + GetEdgeA GetArmA \psk@lineAngle\space abs 0 gt { \psk@lineAngle\space } + { yB yA2 sub xB xA2 sub Atan 180 add } ifelse /AngleB ED + GetEdgeB mark + \psk@lineAngle\space abs 0 gt { + /dY2 yA2 yA1 sub def + /dX2 xA2 xA1 sub def + \psk@lineAngle\space abs 90 eq { + /m2 dY2 dX2 div def + /yA2 xB xA2 sub m2 mul yA2 add def + /xA2 xB def + }{ + /m1 \psk@lineAngle\space dup sin exch cos div def % tan alpha + dX2 abs 0.01 lt { + /yA2 xA1 xB sub m1 mul yB add def + /xA2 xA1 def + }{% + /m2 dY2 dX2 div def + /xA2 m1 xB mul m2 xA2 mul sub yA2 add yB sub m1 m2 sub div def + /yA2 xA2 xB sub m1 mul yB add def + } ifelse + } ifelse + } if + xB1 yB1 xA2 yA2 + ArmA 0 ne { xA1 yA1 } if + tx@Dict begin false Line end + /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def + /LPutPos { LPutLines } def + /HPutPos { HPutLines } def + /VPutPos { VPutLines } def +}> +% +\def\ncbarr{\pst@object{ncbarr}} +\def\ncbarr@i#1#2{ + \begingroup + \use@par% + \psLNode(#1)(#2){0.5}{barr@tempNode}% + \pst@dimm=\psk@angleA pt + \pst@dimn=180pt + % be sure, that angleA is 0 or 180. if not, we set it to 0 + \ifdim\pst@dimm=\z@\else\ifdim\pst@dimm=\pst@dimn\else\psset{angleA=0}\fi\fi + \ncbar[arrows=-]{#1}{barr@tempNode} + \ifdim\psk@angleA pt=\z@\relax + \ncbar[angleA=180,angleB=180]{barr@tempNode}{#2} + \else\ncbar[angleA=0,angleB=0]{barr@tempNode}{#2}\fi% + \endgroup +} +% #1-------#4----------------#2 +% where #1#4= #3 * #1#2 +% +\def\psLNode(#1)(#2)#3#4{% + \pst@getcoor{#1}\pst@tempA% + \pst@getcoor{#2}\pst@tempB% + \pnode(!% + \pst@tempA /YA exch \pst@number\psyunit div def + /XA exch \pst@number\psxunit div def + \pst@tempB /YB exch \pst@number\psyunit div def + /XB exch \pst@number\psxunit div def + /dx XB XA sub def + /dy YB YA sub def + XA dx #3\space mul add YA dy #3\space mul add){#4} +} +% +% build the linear combination #2*#1+#4*#3=#5 +\def\psLCNode(#1)#2(#3)#4#5{% + \pst@getcoor{#1}\pst@tempA% + \pst@getcoor{#3}\pst@tempB% + \pnode(!% + \pst@tempA /YA exch \pst@number\psyunit div def + /XA exch \pst@number\psxunit div def + \pst@tempB /YB exch \pst@number\psyunit div def + /XB exch \pst@number\psxunit div def + XA #2\space mul XB #4\space mul add + YA #2\space mul YB #4\space mul add){#5}% +} +% +% +\define@boolkey[psset]{pstricksadd}[Pst@]{trueAngle}[true]{} +%\psset{trueAngle=false} +% +\def\psRelNode{\pst@object{psRelNode}} +\def\psRelNode@i(#1)(#2)#3#4{{% A - B - factor - node name + \use@par + \pst@getcoor{#1}\pst@tempA% + \pst@getcoor{#2}\pst@tempB% + \pnode(! + \pst@tempA /YA exch \pst@number\psyunit div def + /XA exch \pst@number\psxunit div def + \pst@tempB /YB exch \pst@number\psyunit div def + /XB exch \pst@number\psxunit div def + /AlphaStrich \psk@angleA\space def + /unit \pst@number\psyunit \pst@number\psxunit div def % yunit/xunit +% + /dx XB XA sub def + /dy YB YA sub \ifPst@trueAngle\space unit mul \fi\space def + /laenge dy dup mul dx dup mul add sqrt #3 mul def + /Alpha dy dx atan def + /beta Alpha AlphaStrich add def + laenge beta cos mul XA add + laenge beta sin mul \ifPst@trueAngle\space unit div \fi\space YA add ){#4}% +}} +% +\def\psRelLine{\pst@object{psRelLine}} +\def\psRelLine@i{\@ifnextchar({\psRelLine@iii}{\psRelLine@ii}} +\def\psRelLine@ii#1{% + \addto@par{arrows=#1}% + \psRelLine@iii% +} +\def\psRelLine@iii(#1)(#2)#3#4{{ + \pst@killglue + \use@par + \psRelNode(#1)(#2){#3}{#4} + \psline(#1)(#4)% +}\ignorespaces} +% +% #1 options +% draw a parallel line to #2 #3 +% #2---------#3 +% #4----------#5(new node) +% #5 length of the line +% #6 node name +\def\psParallelLine{\pst@object{psParallelLine}} +\def\psParallelLine@i{\@ifnextchar({\psParallelLine@iii}{\psParallelLine@ii}} +\def\psParallelLine@ii#1{% + \addto@par{arrows=#1}% + \psParallelLine@iii% +} +\def\psParallelLine@iii(#1)(#2)(#3)#4#5{{ + \pst@killglue + \use@par + \pst@getcoor{#1}\pst@tempA + \pst@getcoor{#2}\pst@tempB + \pst@getcoor{#3}\pst@tempC +% \pst@getlength{#4}\pst@dima + \pnode(!% + \pst@tempA /YA exch \pst@number\psyunit div def + /XA exch \pst@number\psxunit div def + \pst@tempB /YB exch \pst@number\psyunit div def + /XB exch \pst@number\psxunit div def + \pst@tempC /YC exch \pst@number\psyunit div def + /XC exch \pst@number\psxunit div def +% + /dx XB XA sub def + /dy YB YA sub def + /laenge dy dup mul dx dup mul add sqrt #4 mul def + /Alpha dy dx atan def + laenge Alpha cos mul XC add + laenge Alpha sin mul YC add ){#5}% + \psline(#3)(#5) +}\ignorespaces} +% +\def\psIntersectionPoint(#1)(#2)(#3)(#4)#5{% + \pst@getcoor{#1}\pst@tempA + \pst@getcoor{#2}\pst@tempB + \pst@getcoor{#3}\pst@tempC + \pst@getcoor{#4}\pst@tempd +\pnode(!% + \pst@tempA /YA exch \pst@number\psyunit div def + /XA exch \pst@number\psxunit div def + \pst@tempB /YB exch \pst@number\psyunit div def + /XB exch \pst@number\psxunit div def + \pst@tempC /YC exch \pst@number\psyunit div def + /XC exch \pst@number\psxunit div def + \pst@tempd /YD exch \pst@number\psyunit div def + /XD exch \pst@number\psxunit div def + /dY1 YB YA sub def + /dX1 XB XA sub def + /dY2 YD YC sub def + /dX2 XD XC sub def + dX1 abs 0.01 lt { + /m2 dY2 dX2 div def + XA dup XC sub m2 mul YC add + }{ + dX2 abs 0.01 lt { + /m1 dY1 dX1 div def + XC dup XA sub m1 mul YA add + }{% + /m1 dY1 dX1 div def + /m2 dY2 dX2 div def + m1 XA mul m2 XC mul sub YA sub YC add m1 m2 sub div dup + XA sub m1 mul YA add + } ifelse + } ifelse ){#5}% +} +% +\def\psLDNode(#1)(#2)#3#4{% +% #1: node A #2: node B #3: dimen measured from A #4: node name + \pst@getcoor{#1}\pst@tempA% + \pst@getcoor{#2}\pst@tempB% + \pssetlength\pst@dima{#3}% + \pnode(!% + \pst@tempA /YA exch \pst@number\psyunit div def + /XA exch \pst@number\psxunit div def + \pst@tempB /YB exch \pst@number\psyunit div def + /XB exch \pst@number\psxunit div def + /dx XB XA sub def + /dy YB YA sub def + /angle dy dx Atan def + /length \pst@number\pst@dima \pst@number\psunit div def + XA length angle cos mul add YA length angle sin mul add ){#4}% +} +\def\nlput{\pst@object{nlput}} +\def\nlput@i(#1)(#2)#3#4{% + \begin@SpecialObj + \psLDNode(A)(B){#3}{@temp@lnput} + \pcline[linestyle=none](#1)(@temp@lnput)% + \ncput[npos=1]{#4}% + \end@SpecialObj +} % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%% %%%%%%%%%% +%%%%%%%%%%% pst-plot %%%%%%%%%% +%%%%%%%%%%% %%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% +\define@key[psset]{pstricksadd}{labelFontSize}{\def\psk@labelFontSize{#1}}% +\psset{labelFontSize={}} +\def\pshlabel#1{\psk@labelFontSize$#1$}% +\def\psvlabel#1{\psk@labelFontSize$#1$} +% +\define@boolkey[psset]{pstricksadd}[Pst@]{comma}[true]{} +% +\define@boolkey[psset]{pstricksadd}[Pst@]{xAxis}[true]{} +\define@boolkey[psset]{pstricksadd}[Pst@]{yAxis}[true]{} +\define@boolkey[psset]{pstricksadd}[Pst@]{xyAxes}[true]{% + \@nameuse{Pst@xAxis#1}\@nameuse{Pst@yAxis#1}}% +%\psset{xyAxes=true}% +% +\define@key[psset]{pstricksadd}{xyDecimals}{\def\psk@xDecimals{#1}\def\psk@yDecimals{#1}} +\define@key[psset]{pstricksadd}{xDecimals}{\def\psk@xDecimals{#1}} +\define@key[psset]{pstricksadd}{yDecimals}{\def\psk@yDecimals{#1}} +%\psset{xyDecimals={}}% +% +\define@key[psset]{pstricksadd}{xlogBase}{\def\psk@xlogBase{#1}} +\define@key[psset]{pstricksadd}{ylogBase}{\def\psk@ylogBase{#1}} +\define@key[psset]{pstricksadd}{xylogBase}{\def\psk@xlogBase{#1}\def\psk@ylogBase{#1}}% +%\psset{xylogBase={}}% +% +\define@key[psset]{pstricksadd}{trigLabelBase}{\pst@getint{#1}{\psk@trigLabelBase}} +\psset{trigLabelBase=0} + +\define@boolkey[psset]{pstricksadd}[Pst@]{trigLabels}[true]{% + \ifPst@trigLabels + \def\pst@@@hlabel##1{\pshlabel{##1}} + \def\pshlabel##1{% + \ifnum\psk@trigLabelBase<2 + \def\de@nominator{\@ne}\else\def\de@nominator{\psk@trigLabelBase}\fi + \def\pst@tempA{##1} + \pst@abs{\pst@tempA}\pst@cntm + \pst@mod{\pst@cntm}{\de@nominator}\pst@cntp % cntb=##1 modulo trigLabelBase + \ifnum\@ne>\pst@cntp % 1 > modulo -> then we have pi/x + \pst@cnto=\pst@cntm \divide\pst@cnto by \de@nominator + \psk@labelFontSize + \ifnum\pst@tempA<0 $-$\fi% + \ifnum\pst@cnto=\@ne % #1 = trigLabelBase + $\pi$ % print pi + \else + $\the\pst@cnto\pi$ % print \pst@cnto/\de@nominator pi + \fi + \else + \ifnum\pst@cntp=\@ne % < 1 pi? + \if\pst@cntm=\@ne + $\frac{\pi}{\de@nominator}$ % pi/x + \else\ifnum\pst@tempA=-1 $\frac{-\pi}{\de@nominator}$ + \else \ifnum\pst@tempA=1 $\frac{\pi}{\de@nominator}$ + \else$\frac{\pst@tempA\pi}{\de@nominator}$ % (x pi)/y + \fi\fi\fi + \else + \ifnum\pst@tempA=1 $\frac{\pi}{\de@nominator}$ + \else\ifnum\pst@tempA=\de@nominator $\pi$ + \else$\frac{\pst@tempA\pi}{\de@nominator}$ + \fi\fi\fi\fi% + }% + \else + \def\pst@@@hlabel##1{% + \edef\@xyDecimals{\psk@xDecimals}% + \ifnum\psk@ticks<\tw@ % ticks=all|x + \ifx\psk@xlogBase\@empty + \pshlabel{\psk@labelFontSize\expandafter\@LabelComma##1..\@nil\psk@xlabelFactor}% + \else% + \pshlabel{\psk@labelFontSize\psk@xlogBase\textsuperscript{\expandafter\@stripDecimals##1..\@nil }} + \fi% + \fi% + } + \def\pshlabel##1{\psk@labelFontSize$##1$}% + \fi +} +\psset{trigLabels=false} +% +%logLines=all|x|y|none (0,1,2,3) +\define@key[psset]{pstricksadd}{logLines}{\pst@expandafter\psset@@logLines{#1}\@nil\psk@logLines} +\def\psset@@logLines#1#2\@nil#3{% + \ifx#1a\let#3\z@\else + \ifx#1x\let#3\@ne\else + \ifx#1y\let#3\tw@\else + \ifx#1n\let#3\thr@@\else + \@pstrickserr{Bad argument: `#1#2'}\@ehpa + \fi\fi\fi\fi} +%\psset{logLines=none}% +% +% Define "ticklines" parameter (ticklines=all|x|y|none with default=none) +%\def\psset@ticklines#1{\pst@expandafter\psset@@ticklines{#1}\@nil\psk@ticklines} +%\psset@ticklines{none} +\define@key[psset]{pstricksadd}{ylabelFactor}{\def\psk@ylabelFactor{#1}} +\define@key[psset]{pstricksadd}{xlabelFactor}{\def\psk@xlabelFactor{#1}} +%\psset{xlabelFactor=\relax,ylabelFactor=\relax}% +% The parameter styles for the tick lines +% (default=arrows=-,linestyle=dotted,dotsep=5pt) +%\newpsstyle{ticklinesXStyle}{arrows=-,linestyle=dotted,dotsep=5pt} +%\newpsstyle{ticklinesYStyle}{arrows=-,linestyle=dotted,dotsep=5pt} +% +% +%% #1 integer +%% #2 decimals +%% #3 dot +\def\@stripDecimals#1.#2.#3\@nil{% + \def\dummy{#1}% + \ifx\dummy\@empty\the\@zero\else#1\fi% the integer part +} +% +\def\pst@@@vlabel#1{% + \edef\@xyDecimals{\psk@yDecimals}% +% \psk@yLabel% + \ifodd\psk@ticks % ticks=all||y (0,2) + \else + \ifx\psk@ylogBase\@empty +% \ifPst@comma + \psvlabel{\expandafter\@LabelComma#1..\@nil\psk@ylabelFactor}% +% \else\psvlabel{#1\psk@ylabelFactor}\fi% + \else% + \psvlabel{\psk@ylogBase\textsuperscript{\expandafter\@stripDecimals#1..\@nil }} + \fi% + \fi% +} +\newcount\@digitcounter\@digitcounter=0\relax +\def\@inc@digitcounter{\global\advance\@digitcounter by 1\relax} +\def\@get@digitcounter{\the\@digitcounter\relax} +\def\@Reset@digitcounter{\global\@digitcounter=0\relax} +\def\@zeroFill{% + \ifnum \@xyDecimals>\@get@digitcounter + \bgroup + 0\@inc@digitcounter\@zeroFill + \egroup% + \fi% +} +% #1 the value, maybe empty +% +\def\@process@digits#1#2;{% + \ifx *#1\@zeroFill\else#1\@inc@digitcounter\@process@digits#2;\fi% +} +\def\@writeDecimals#1{% + \ifx\@xyDecimals\@empty% take value as is + \def\@tempa{#1}% write only if not empty + \ifx\@tempa\@empty% write nothing + \else + \ifPst@comma{,}\else.\fi% + #1% + \fi% + \else% write only \xy@decimals + \ifnum\@xyDecimals>\@zero + \ifPst@comma{,}\else.\fi + \@Reset@digitcounter + \@process@digits#1*; + \fi% + \fi% +} +%% #1 integer +%% #2 decimals +%% #3 dot +\def\@LabelComma#1.#2.#3\@nil{% + \def\pst@tempA{#1}% + \ifx\pst@tempA\@empty\the\@zero\else#1\fi% the integer part + \def\pst@tempA{#2}% + \ifx\pst@tempA\@empty\@writeDecimals{}\else\@writeDecimals{#2}\fi% +} +% +\def\psxs@none{% + \let\psk@arrowA\@empty% + \let\psk@arrowB\@empty% + \psxs@axes% +} +%\def\psxs@axes{% +% \psxs@@axes\pst@dima\pst@dimc{}% +% \psxs@@axes\pst@dimb\pst@dimd{exch}% +%} + +% +\def\psxs@axes{{% + \ifPst@xAxis\psxs@@axes\pst@dima\pst@dimb\pst@dimc\pst@dimd{}\fi% + \ifPst@yAxis\psxs@@axes\pst@dima\pst@dimb\pst@dimc\pst@dimd{exch}\fi% +}} +\def\psaxes{\pst@object{psaxes}} +\def\psaxes@i{\pst@getarrows\psaxes@ii} +\def\psaxes@ii(#1){\@ifnextchar({\psaxes@iii(#1)}{\psaxes@iv(0,0)(0,0)(#1)}} +\def\psaxes@iii(#1)(#2){\@ifnextchar({\psaxes@iv(#1)(#2)}{\psaxes@iv(#1)(#1)(#2)}} +% +\def\psaxes@iv(#1,#2)(#3,#4)(#5,#6){% + \pst@killglue% + \begingroup% + \setbox\pst@hbox=\hbox\bgroup% + \use@par% + \pssetxlength\pst@dimg{#1}% o-x + \pssetylength\pst@dimh{#2}% o-y + \pssetxlength\pst@dima{#3}% bl-x + \pssetylength\pst@dimb{#4}% bl-y + \pssetxlength\pst@dimc{#5}% ur-x + \pssetylength\pst@dimd{#6}% ur-y + % If minimum values are negative in log mode, we modify Ox + % (respectively Oy) if this was not done by the user + % X axis labels (\psk@log = 0 or 1) +% +% Whole thing will be translated to origin: + \advance\pst@dima-\pst@dimg% Dist. from bl-x to o-x + \advance\pst@dimb-\pst@dimh% Dist. from bl-y to o-y + \advance\pst@dimc-\pst@dimg% Dist. from ur-x to o-x + \advance\pst@dimd-\pst@dimh% Dist. from ur-y to o-y +% Make lines/arrows or frame: + \@nameuse{psxs@\psk@axesstyle}% \psxs@axes or \psxs@frame + \ifPst@yAxis% + \begingroup% + \ifdim\pst@dima=\z@\else\showoriginfalse\fi% + \ifnum\psk@dy=\z@% + \pst@dimg=\psk@Dy\psyunit% + \edef\psk@dy{\number\pst@dimg}% + \fi% + \ifPst@xAxis\else\showorigintrue\fi% + \pst@vlabels{\pst@dimd}{\psk@arrowB}{#3}{#5}% + \ifPst@xAxis\showoriginfalse\fi% + \pst@vlabels{\pst@dimb}{\psk@arrowA}{#3}{#5}% + \endgroup% + \fi% + \ifPst@xAxis% + \begingroup% + \ifdim\pst@dimb=\z@\else\showoriginfalse\fi% + \ifnum\psk@dx=\z@% + \pst@dimg=\psk@Dx\psxunit% + \edef\psk@dx{\number\pst@dimg}% + \fi% + \ifPst@yAxis\else\showorigintrue\fi% + \pst@hlabels{\pst@dimc}{\psk@arrowB}{#4}{#6}% + \ifPst@yAxis\showoriginfalse\fi% + \pst@hlabels{\pst@dima}{\psk@arrowA}{#4}{#6}% + \endgroup% + \fi% +% Now close "\pst@hbox" (which is 0-dimensional), and put it at the origin. + \egroup% + \pssetxlength\pst@dimg{#1}% + \pssetylength\pst@dimh{#2}% + \leavevmode\psput@cartesian\pst@hbox% + \endgroup + \ignorespaces% +} +% +\newdimen\psk@subticksize\psk@subticksize=\z@ +\newdimen\pst@xticksizeA +\newdimen\pst@xticksizeB +\newdimen\pst@xticksizeC +\newdimen\pst@yticksizeA +\newdimen\pst@yticksizeB +\newdimen\pst@yticksizeC +% +\def\set@xticksize#1{% + \pst@expandafter\pst@getydimdim{#1} {} {}\@nil % y-unit!! + \pst@xticksizeA=\the\pst@dimm% + \pst@xticksizeB=\the\pst@dimn% + \edef\psk@xticksize{\pst@number\pst@xticksizeA \pst@number\pst@xticksizeB}% + \ifdim\pst@dimm=\z@\relax + \pst@xticksizeC=\z@ + \else% + \pst@absdim{\pst@xticksizeA}\pst@dimm% + \pst@absdim{\pst@xticksizeB}\pst@dimn% + \pst@maxdim{\pst@dimm}{\pst@dimn}\pst@dimo% + \pst@xticksizeC=\pst@dimo% + \fi% +} +\def\set@yticksize#1{% + \pst@expandafter\pst@getxdimdim{#1} {} {}\@nil % x-unit! + \pst@yticksizeA=\the\pst@dimm% + \pst@yticksizeB=\the\pst@dimn% + \edef\psk@yticksize{\pst@number\pst@yticksizeA \pst@number\pst@yticksizeB}% + \ifdim\pst@dimm=\z@\relax + \pst@yticksizeC=\z@ + \else% + \pst@absdim{\pst@yticksizeA}\pst@dimm% + \pst@absdim{\pst@yticksizeB}\pst@dimn% + \pst@maxdim{\pst@dimm}{\pst@dimn}\pst@dimo% + \pst@yticksizeC=\pst@dimo% + \fi% +} +\define@key[psset]{}{ticksize}{\set@xticksize{#1}\set@yticksize{#1}} +\define@key[psset]{pstricksadd}{xticksize}{\set@xticksize{#1}} +\define@key[psset]{pstricksadd}{yticksize}{\set@yticksize{#1}}% overwrites the definition in pstricks +%\psset{ticksize=-4pt 4pt} +% +% full= 0, top=1, bottom=-1 +\define@key[psset]{}{tickstyle}{% + \pst@expandafter\psset@@tickstyle{#1}\@nil% + \pst@cnta=\psk@tickstyle + \advance\pst@cnta by 1 + \ifcase\pst@cnta% bottom + \pst@xticksizeB=\z@ + \pst@yticksizeB=\z@ + \or% full + \or% top + \pst@xticksizeA=\z@ + \pst@yticksizeA=\z@ + \fi +} +%\psset{tickstyle=full}% +% +% +\define@key[psset]{pstricksadd}{subticks}{\def\psk@xsubticks{#1}\def\psk@ysubticks{#1}} +\define@key[psset]{pstricksadd}{xsubticks}{\def\psk@xsubticks{#1}} +\define@key[psset]{pstricksadd}{ysubticks}{\def\psk@ysubticks{#1}} +% +\define@key[psset]{pstricksadd}{subticksize}{\def\psk@xsubticksize{#1}\def\psk@ysubticksize{#1}} +\define@key[psset]{pstricksadd}{xsubticksize}{\def\psk@xsubticksize{#1}} +\define@key[psset]{pstricksadd}{ysubticksize}{\def\psk@ysubticksize{#1}} +% +\define@key[psset]{pstricksadd}{tickwidth}{% + \pst@getlength{#1}\psk@xtickwidth% + \pst@getlength{#1}\psk@ytickwidth} +\define@key[psset]{pstricksadd}{xtickwidth}{\pst@getlength{#1}\psk@xtickwidth} +\define@key[psset]{pstricksadd}{ytickwidth}{\pst@getlength{#1}\psk@ytickwidth} +\define@key[psset]{pstricksadd}{subtickwidth}{% + \pst@getlength{#1}\psk@xsubtickwidth% + \pst@getlength{#1}\psk@ysubtickwidth} +\define@key[psset]{pstricksadd}{xsubtickwidth}{\pst@getlength{#1}\psk@xsubtickwidth} +\define@key[psset]{pstricksadd}{ysubtickwidth}{\pst@getlength{#1}\psk@ysubtickwidth} +% +\define@key[psset]{pstricksadd}{tickcolor}{\def\psk@xtickcolor{#1}\def\psk@ytickcolor{#1}} +\define@key[psset]{pstricksadd}{xtickcolor}{\def\psk@xtickcolor{#1}} +\define@key[psset]{pstricksadd}{ytickcolor}{\def\psk@ytickcolor{#1}} +\define@key[psset]{pstricksadd}{subtickcolor}{% + \pst@getcolor{#1}\psk@xsubtickcolor% + \pst@getcolor{#1}\psk@ysubtickcolor} +\define@key[psset]{pstricksadd}{xsubtickcolor}{\pst@getcolor{#1}\psk@xsubtickcolor} +\define@key[psset]{pstricksadd}{ysubtickcolor}{\pst@getcolor{#1}\psk@ysubtickcolor} +% +\define@key[psset]{pstricksadd}{xticklinestyle}{% + \@ifundefined{psls@#1}% + {\@pstrickserr{Line style `#1' not defined}\@eha}% + {\def\psxticklinestyle{#1}}} +\define@key[psset]{pstricksadd}{xsubticklinestyle}{% + \@ifundefined{psls@#1}% + {\@pstrickserr{Line style `#1' not defined}\@eha}% + {\def\psxsubticklinestyle{#1}}} +\define@key[psset]{pstricksadd}{yticklinestyle}{% + \@ifundefined{psls@#1}% + {\@pstrickserr{Line style `#1' not defined}\@eha}% + {\def\psyticklinestyle{#1}}} +\define@key[psset]{pstricksadd}{ysubticklinestyle}{% + \@ifundefined{psls@#1}% + {\@pstrickserr{Line style `#1' not defined}\@eha}% + {\def\psysubticklinestyle{#1}}} +\define@key[psset]{pstricksadd}{ticklinestyle}{% + \@ifundefined{psls@#1}% + {\@pstrickserr{Line style `#1' not defined}\@eha}% + {\def\psxticklinestyle{#1}\def\psyticklinestyle{#1}}} +\define@key[psset]{pstricksadd}{subticklinestyle}{% + \@ifundefined{psls@#1}% + {\@pstrickserr{Line style `#1' not defined}\@eha}% + {\def\psxsubticklinestyle{#1}\def\psysubticklinestyle{#1}}} +% +\define@key[psset]{pstricksadd}{ticklinestyle}{\psset{xticklinestyle=#1,yticklinestyle=#1}} +\define@key[psset]{pstricksadd}{subticklinestyle}{\psset{xsubticklinestyle=#1,ysubticklinestyle=#1}} +%\psset{subticksize=0.75,subticks=1,tickcolor=black,ticklinestyle=solid,% +% subticklinestyle=solid,% +% subtickcolor=gray,% +% tickwidth=0.5\pslinewidth,% +% subtickwidth=0.25\pslinewidth} +% +\newif\ifis@yAxis% +% +\def\psxs@@axes#1#2#3#4#5{% llx,lly,urx,ury,exch,arrowA,arrowB + \pst@killglue% + \begin@SpecialObj% + \def\pst@tempA{#5}% + \ifx\pst@tempA\@empty\relax% + \is@yAxisfalse% + \ifnum\psk@dx=\z@% + \pst@dimg=\psk@Dx\psxunit% + \def\psk@dx{\number\pst@dimg}% + \fi% + \else% + \is@yAxistrue% + \ifnum\psk@dy=\z@% + \pst@dimg=\psk@Dy\psyunit% + \def\psk@dy{\number\pst@dimg}% + \fi% + \fi% + \let\pst@linetype\pst@arrowtype% + \def\pst@tempA{none}% + \pst@addarrowdef% + \addto@pscode{ + \ifis@yAxis 0 \pst@number#4 \else \pst@number#3 0 \fi + \ifis@yAxis 0 \pst@number#2 \else \pst@number#1 0 \fi + ArrowA + CP 4 2 roll + ArrowB + /yEnd exch def /xEnd exch def + xEnd yEnd + \ifx\psk@axesstyle\pst@tempA + pop pop % axesstyle = none (only ticks) + \else + L % the line with arrows + \fi + /yStart exch def + /xStart exch def + \@nameuse{psls@\pslinestyle} % linestyle for the axes + stroke % draw the main line +% \psk@ticks: all=0; x=1; y=2; none=3 + \number\psk@ticks\space dup 2 mod 0 eq \ifis@yAxis true \else false \fi and + exch 2 lt \ifis@yAxis false \else true \fi and or { + /viceversa + \ifis@yAxis\pst@number#2 \pst@number#4 \else\pst@number#1 \pst@number#3 \fi + gt { true }{ false } ifelse def % other way round + /epsilon 0.01 def % rounding errors + /minTickline \ifis@yAxis \pst@number#1 \else \pst@number#2 \fi def + /maxTickline \ifis@yAxis \pst@number#3 \else \pst@number#4 \fi def + /dT \ifis@yAxis \psk@dy \else \psk@dx \fi\space abs % added abs 2006-07-07 + 65536 div viceversa { neg } if def % div to get pt instead of sp + /subTNo \ifis@yAxis\psk@ysubticks\else\psk@xsubticks\fi \space def + subTNo 0 gt { /dsubT dT subTNo div def}{ /dsubT 0 def } ifelse % deltaSubTick + \ifis@yAxis \psk@yticksize \else \psk@xticksize \fi + /tickend exch def /tickstart exch def + /Twidth \ifis@yAxis \psk@ytickwidth \else \psk@xtickwidth \fi\space def + /subTwidth \ifis@yAxis \psk@ysubtickwidth \else \psk@xsubtickwidth \fi\space def + /STsize \ifis@yAxis \psk@ysubticksize \else \psk@xsubticksize \fi\space def + /TColor { + \ifis@yAxis\pst@usecolor\psk@ytickcolor + \else\pst@usecolor\psk@xtickcolor\fi\space } def + /subTColor { + \ifis@yAxis\pst@usecolor\psk@ysubtickcolor + \else\pst@usecolor\psk@xsubtickcolor\fi\space } def + /MinValue { \ifis@yAxis yStart \else xStart \fi + \ifx\psk@arrowA\@empty\else + \psk@arrowsize\space CLW mul add \psk@arrowlength\space mul + viceversa { sub epsilon add } { add epsilon sub } ifelse \fi } def + /MaxValue { \ifis@yAxis yEnd \else xEnd \fi + \ifx\psk@arrowB\@empty\else + \psk@arrowsize\space CLW mul add \psk@arrowlength\space mul + viceversa { add epsilon sub } { sub epsilon add } ifelse \fi } def + /logLines { + \ifnum\psk@logLines=\z@ true \else % all axes + \ifnum\psk@logLines<\tw@ % x axis + \ifis@yAxis false \else true \fi % do we have x or y axis + \else + \ifnum\psk@logLines<\thr@@ % y axis + \ifis@yAxis true \else false \fi % do we have x or y axis + \else + false % no one + \fi + \fi + \fi + } def + /LSstroke { % set linestyle and stroke + \ifis@yAxis\@nameuse{psls@\psyticklinestyle} + \else\@nameuse{psls@\psxticklinestyle}\fi } def + /subLSstroke { % set sublinestyle and stroke + \ifis@yAxis\@nameuse{psls@\psysubticklinestyle} + \else\@nameuse{psls@\psxsubticklinestyle}\fi } def +%\iffalse +% start ticks --------------------------------------------------------- + 0 dT MaxValue { % the positive part of the axes + /cntTick exch def % the index + logLines { % log lines? + gsave + 1 10 subTNo div 9.99 { % do not write a line for 1 + /dx exch def % save index + /x cntTick dT dx log mul add def % + x abs MaxValue abs le { % out of range? + x minTickline #5\space moveto + x maxTickline #5\space lineto + } if + } for + subTwidth SLW subTColor % set line width and subtick color + subLSstroke + grestore % restore main tick status + stroke + /dsubT 0 def % no other subticks + } if + dsubT abs 0 gt { % du we have subticks? + gsave % save graphic state +% start subticks ---------------------------------------------------------- + /cntsubTick cntTick dsubT add def + subTNo 1 sub { + cntsubTick abs MaxValue abs le { % out of range? + cntsubTick tickstart STsize mul #5\space moveto + cntsubTick tickend STsize mul #5\space lineto + }{ exit } ifelse + /cntsubTick cntsubTick dsubT add def + } repeat + subTwidth SLW subTColor % set line width and subtick color + subLSstroke +% end subticks ---------------------------------------------------------- + grestore % restore tick status + } if + gsave + cntTick tickstart #5\space moveto % line begin main Tick + cntTick tickend #5\space lineto % lineto tick end + Twidth SLW TColor % set line width and tick color + LSstroke + grestore + } for +% end ticks ---------------------------------------------------------- +%\fi +%\iffalse +% ================================================ % the other side + /dT dT neg def % the other side of the axis + /dsubT dsubT neg def +% start ticks ---------------------------------------------------------- + 0 dT MinValue epsilon viceversa { add }{ sub } ifelse { + /cntTick exch def + logLines { % log lines? + gsave + 1 10 subTNo div 9.99 { % do not write a line for 1 + /dx exch def % save index + /x cntTick dT dx log mul add def % + x abs MinValue abs le { % out of range? + x minTickline #5\space moveto + x maxTickline #5\space lineto + } if + } for + /dsubT 0 def + subTwidth SLW subTColor % set line width and subtick color + subLSstroke + grestore + } + dsubT abs 0 gt { % do we have subticks? + gsave % save main state +% start subticks ---------------------------------------------------------- + /cntsubTick cntTick dsubT add def + subTNo 1 sub { + cntsubTick abs MinValue abs le { % out of range? + cntsubTick tickstart STsize mul #5\space moveto + cntsubTick tickend STsize mul #5\space lineto + }{ exit } ifelse + /cntsubTick cntsubTick dsubT add def + } repeat % for +% end subticks ---------------------------------------------------------- + subTwidth SLW subTColor % set line width and subtick color + subLSstroke + grestore % restore main state + } if + gsave + cntTick tickstart #5\space moveto % line begin main Tick + cntTick tickend #5\space lineto % lineto tick end + Twidth SLW TColor % set line width and tick color + LSstroke + grestore + } for +% end ticks ---------------------------------------------------------- +%\fi + } if% + }% + \end@SpecialObj% + \ignorespaces% +}% +% +\def\psxs@frame{% + \begin@SpecialObj% + \addto@pscode{% + \pst@number\pst@dima \pst@number\pst@dimb moveto \pst@number\pst@dimc \pst@number\pst@dimb L + \pst@number\pst@dimc \pst@number\pst@dimd L \pst@number\pst@dima \pst@number\pst@dimd L + closepath}% + \pst@stroke% + \psk@fillstyle% + \end@SpecialObj% + \let\psk@arrowA\@empty% + \let\psk@arrowB\@empty% +% \pst@dima=0pt\pst@dimb=0pt% +% \psset{xticksize=0 \pst@dimd,yticksize=0 \pst@dimc}% + \pst@xticksizeC=\z@\pst@yticksizeC=\z@% + \psxs@@axes\pst@dima\pst@dimb\pst@dimc\pst@dimd{}% + \psxs@@axes\pst@dima\pst@dimb\pst@dimc\pst@dimd{exch}% +} +% +% #1:Max/Min in pt from origin; #2:arrow; #3:min; #4:max +\def\pst@hlabels#1#2#3#4{% + \ifdim#1=\z@\else% % start from 0 ? + \ifx#2\empty\else\advance#1\ifdim#1>\z@-\fi7\pslinewidth\fi% + \pst@cnta=#1\relax% % Distance (in sp) to end. + \divide\pst@cnta\psk@dx\relax% % Number of ticks/labels + \ifnum\pst@cnta=\z@\else% + \pst@dimb=\psk@dx sp% % Space between ticks. +% \ifPst@yAxis\else\showorigintrue\fi% + \ifnum\psk@labels<\tw@ \ifPst@xAxis\pst@@hlabels\fi\fi% + \showoriginfalse% + \fi% + \fi% +} +% Knows \pst@dimb and \pst@cnta +\def\pst@@hlabels{% + \pst@dimm=\pst@xticksizeC\advance\pst@dimm by \pslabelsep% + \vbox to\z@{% + \ifdim\pst@dimd>\z@\vskip\pst@dimm\else\vss\fi% + \ifnum\pst@cnta<\z@\pst@dimb=-\pst@dimb\fi% + \hbox to\z@{% + \ifshoworigin\hbox to \z@{\hss\pst@@@hlabel{\psk@Ox}\hss}\fi% + \mmultido{\n=\psk@Ox+\psk@Dx}{\pst@cnta}{% + \hskip\pst@dimb\hbox to \z@{\hss\pst@@@hlabel{\n}\hss}% + }\hss% + }% + \ifdim\pst@dimd>\z@\vss\else\vskip\pst@dimm\fi% +}}% + +% #1:Max/Min in pt from origin; #2:arrow; #3:min; #4:max +% \psk@labels 0:all; 1:x; 2:y; 3:none +\def\pst@vlabels#1#2#3#4{% + \ifdim#1=\z@\else% + \ifx#2\empty\else\advance#1\ifdim#1>\z@-\fi7\pslinewidth\fi% + \pst@cnta=#1\relax % % Distance (in sp) to end. + \divide\pst@cnta\psk@dy\relax % % Number of ticks/labels + \ifnum\pst@cnta=\z@\else% + \pst@dima=\psk@dy sp% % Space between ticks. +% \ifPst@xAxis\else\showorigintrue\fi% + \ifodd\number\psk@labels\else\ifPst@yAxis\pst@@vlabels\fi\fi% + \showoriginfalse% + \fi% + \fi% +} +% \pst@dima: the width between two labels in pt +% \pst@dimc: the coordinate of the origin in pt +% \pst@cnta: the lowest label +\def\pst@@vlabels{% + \pst@dimm=\pst@yticksizeC% + \advance\pst@dimm by \pslabelsep% + \vbox to\z@{% + \ifnum\pst@cnta>\z@\pst@dima=-\pst@dima\fi% + \offinterlineskip% + \ifshoworigin + \vbox to \z@{\vss\hbox to\z@{% + \ifdim\pst@dimc>\z@\hss\else\hskip\pst@dimm\fi + \pst@@@vlabel{\psk@Oy}% + \ifdim\pst@dimc>\z@\hskip\pst@dimm\else\hss\fi}\vss}% + \fi% + \mmultido{\n=\psk@Oy+\psk@Dy}{\pst@cnta}{% + \vbox to\pst@dima{\vss} + \vbox to \z@{% + \vss\hbox to\z@{% + \ifdim\pst@dimc>\z@% + \hss\pst@@@vlabel{\n}\hskip\pst@dimm% + \else% + \hskip\pst@dimm\pst@@@vlabel{\n}\hss% + \fi + }\vss% + }}% + \vss% +}} +% +\define@key[psset]{pstricksadd}{nStep}{\def\psk@nStep{#1}} +\define@key[psset]{pstricksadd}{nStart}{\def\psk@nStart{#1}} +\define@key[psset]{pstricksadd}{nEnd}{\def\psk@nEnd{#1}} +\define@key[psset]{pstricksadd}{xStep}{\def\psk@xStep{#1}} +\define@key[psset]{pstricksadd}{yStep}{\def\psk@yStep{#1}} +% +\define@key[psset]{pstricksadd}{xStart}{\def\psk@xStart{#1}} +\define@key[psset]{pstricksadd}{xEnd}{\def\psk@xEnd{#1}} +\define@key[psset]{pstricksadd}{yStart}{\def\psk@yStart{#1}} +\define@key[psset]{pstricksadd}{yEnd}{\def\psk@yEnd{#1}} +% +\define@key[psset]{pstricksadd}{plotNo}{\def\psk@plotNo{#1}} +\define@key[psset]{pstricksadd}{plotNoMax}{\def\psk@plotNoMax{#1}} +% +%\psset{nStep=1, nStart=0, nEnd={},% +% xStep=0, yStep=0, xStart={}, xEnd={}, yStart={}, yEnd={}, comma=false,% +% plotNo=1,plotNoMax=1}% +% +\def\pstScalePoints(#1,#2)#3#4{% +% xScale | yScale | xOperator | yOperator +% the operators can be any Postscript code + \pst@def{ScalePoints}<% + /y ED /x ED + counttomark dup dup cvi eq not { exch pop } if + /m exch def /n m 2 div cvi def + n { + #4\space y mul #2\space mul m 1 roll + #3\space x mul #1\space mul m 1 roll + /m m 2 sub + def } repeat> +} +%\pstScalePoints(1,1){}{}% the default -> no special operators +% +\def\listplot@ii#1{% + \@nameuse{beginplot@\psplotstyle}% + \addto@pscode{/D {} def mark}% + #1% + \addto@pscode{% + \tx@PreparePoints + \pst@number\psxunit + \pst@number\psyunit + \tx@ScalePoints% + }% + \@nameuse{endplot@\psplotstyle}% +} +% +\define@boolkey[psset]{pstricksadd}[Pst@]{ChangeOrder}[true]{} +\pst@def{PreparePoints}<{% + counttomark /m exch def + \ifPst@ChangeOrder + /m0 m def + m \psk@plotNoMax\space 1 add div 1 sub cvi { + m0 \psk@plotNoMax\space 1 add roll /m0 m0 \psk@plotNoMax\space 1 add sub def + } repeat + \fi + /n m \psk@plotNoMax\space 1 add div cvi def + \psk@plotNoMax\space 1 gt {% multiple data files? + n { + \psk@plotNoMax\space \psk@plotNo\space 1 sub neg roll % x yNo y y y ... + \psk@plotNoMax\space 1 sub { pop } repeat % x yNo + /m m \psk@plotNoMax\space 1 sub sub def + m 2 roll + } repeat + } if % no multiple data files +% counttomark /m exch def +% /n m 2 div cvi def + /xMax -99999 def /yMax -99999 def + /xP 0 def /yP 0 def + m copy + n { + /y exch def /x exch def + xMax x lt { /xMax x def } if + yMax y lt {/yMax y def } if + xP x gt { /xP x def } if + yP y gt { /yP y def } if + } repeat +% m 2 roll + \psk@xStep\space 0 gt \psk@yStep\space 0 gt or (\psk@xStart) length 0 gt or + (\psk@yStart) length 0 gt or (\psk@xEnd) length 0 gt or (\psk@yEnd) length 0 gt or { +% + (\psk@xStart) length 0 gt {\psk@xStart\space }{ xP } ifelse /xStart exch def + (\psk@yStart) length 0 gt {\psk@yStart\space }{ yP } ifelse /yStart exch def + (\psk@xEnd) length 0 gt { \psk@xEnd\space }{ xMax } ifelse /xEnd exch def + (\psk@yEnd) length 0 gt { \psk@yEnd\space }{ yMax } ifelse /yEnd exch def + n { + m -2 roll + 2 copy /yVal exch def /xVal exch def + xVal xP ge + yVal yP ge and + xVal xEnd le and + yVal yEnd le and + xVal xStart ge and + yVal yStart ge and { + /xP xP \psk@xStep\space add def + /yP yP \psk@yStep\space add def + }{% + pop pop + /m m 2 sub def + } ifelse + } repeat + }{% + /ncount 0 def + (\psk@nEnd) length 0 gt { \psk@nEnd\space }{ m } ifelse + /nEnd exch def + n { + m -2 roll + \psk@nStep\space 1 gt { + ncount \psk@nStart\space sub \psk@nStep\space mod 0 eq }{ true } ifelse + ncount nEnd le and + ncount \psk@nStart\space ge and not { + pop pop + /m m 2 sub def + } if + /ncount ncount 1 add def + } repeat + } ifelse +}> +% +% +\define@key[psset]{pstricksadd}{xAxisLabel}{\def\psk@xAxisLabel{#1}} +\define@key[psset]{pstricksadd}{yAxisLabel}{\def\psk@yAxisLabel{#1}} +%\psset{xAxisLabel=x,yAxisLabel=y} +\define@key[psset]{pstricksadd}{xAxisLabelPos}{\def\psk@xAxisLabelPos{#1}} +\define@key[psset]{pstricksadd}{yAxisLabelPos}{\def\psk@yAxisLabelPos{#1}} +%\psset{yAxisLabelPos={},xAxisLabelPos={}} +% +\newdimen\psk@llx +\newdimen\psk@lly +\newdimen\psk@urx +\newdimen\psk@ury +\define@key[psset]{pstricksadd}{llx}{\pssetxlength\psk@llx{#1}} +\define@key[psset]{pstricksadd}{lly}{\pssetylength\psk@lly{#1}} +\define@key[psset]{pstricksadd}{urx}{\pssetxlength\psk@urx{#1}} +\define@key[psset]{pstricksadd}{ury}{\pssetylength\psk@ury{#1}} +%\psset{llx=\z@, lly=\z@, urx=\z@, ury=\z@}% prevents rounding errors +\newif\ifPst@plot@box +\define@key[psset]{pstricksadd}{box}[true]{\@nameuse{Pst@plot@box#1}} +% +\newdimen\pst@xunit +\newdimen\pst@yunit +% +\def\psgraph{\pst@object{psgraph}} +\def\psgraph@i{\pst@getarrows\psgraph@ii} +\def\psgraph@ii(#1,#2){\catcode`\!=12\@ifnextchar({\psgraph@iii(#1,#2)}{\psgraph@iv(0,0)(#1,#2)}} +\def\psgraph@iii(#1,#2)(#3,#4){\@ifnextchar({\psgraph@v(#1,#2)(#3,#4)}{\psgraph@iv(#1,#2)(#3,#4)}} +% +\def\psgraph@iv(#1,#2)(#3,#4)#5#6{% no special origin defined +% minX | minY | maxX | maxY | Length x-axis | length y-axis% + \pst@killglue% + \begingroup% + \pst@dimo=#3\p@\advance\pst@dimo by -#1\p@% delta x + \pst@divide{#5}{\pst@dimo}\pst@tempA% + \pst@xunit=\pst@tempA\p@% + \pst@dimo=#4\p@\advance\pst@dimo by -#2\p@% delta y + \ifx!#6 \pst@dima=\pst@tempA\pst@dimo\else\pst@dima=#6\fi + \pst@divide\pst@dima{\pst@dimo}\pst@tempA% + \pst@yunit=\pst@tempA\p@% + % + \pst@dima=#1\pst@xunit \advance\pst@dima by \psk@llx% + \pst@dimb=#2\pst@yunit \advance\pst@dimb by \psk@lly% + \pst@dimc=#3\pst@xunit \advance\pst@dimc by \psk@urx% + \pst@dimd=#4\pst@yunit \advance\pst@dimd by \psk@ury% + \if@star\pspicture*(\pst@dima,\pst@dimb)(\pst@dimc,\pst@dimd)\else% + \pspicture(\pst@dima,\pst@dimb)(\pst@dimc,\pst@dimd)\fi% + \psset{xunit=\pst@xunit,yunit=\pst@yunit}% + \bgroup% + \use@par% + \psaxes(#1,#2)(#3,#4)% + \egroup% + \psgraph@vi(#1,#2)(#3,#4)% +} +\def\psgraph@v(#1,#2)(#3,#4)(#5,#6)#7#8{% with special origin +% Xorig | yorig | minX | minY | maxX | maxY | Length x-axis | length y-axis% + \pst@killglue% + \begingroup% + \pst@dimo=#5\p@\advance\pst@dimo by -#3\p@% delta x + \pst@divide{#7}{\pst@dimo}\pst@tempA% + \pst@xunit=\pst@tempA\p@% + \pst@dimo=#6\p@\advance\pst@dimo by -#4\p@% delta y + \ifx!#8 \pst@dima=\pst@tempA\pst@dimo\else\pst@dima=#8\fi + \pst@divide\pst@dima{\pst@dimo}\pst@tempA% + \pst@yunit=\pst@tempA\p@% + % + \pst@dima=#3\pst@xunit \advance\pst@dima by \psk@llx% + \pst@dimb=#4\pst@yunit \advance\pst@dimb by \psk@lly% + \pst@dimc=#5\pst@xunit \advance\pst@dimc by \psk@urx% + \pst@dimd=#6\pst@yunit \advance\pst@dimd by \psk@ury% + \if@star\pspicture*(\pst@dima,\pst@dimb)(\pst@dimc,\pst@dimd)\else% + \pspicture(\pst@dima,\pst@dimb)(\pst@dimc,\pst@dimd)\fi% + \psset{xunit=\pst@xunit,yunit=\pst@yunit}% + \bgroup% + \use@par% + \psaxes(#1,#2)(#3,#4)(#5,#6)% + \egroup% + \psgraph@vi(#1,#2)(#5,#6)% +} +\def\psgraph@vi(#1,#2)(#3,#4){% + \ifx\psk@xAxisLabel\@empty\else% + \ifx\psk@xAxisLabelPos\@empty\uput[0](#3,#2){\psk@xAxisLabel}% + \else\rput(\psk@xAxisLabelPos){\psk@xAxisLabel}% + \fi% + \fi% + \ifx\psk@yAxisLabel\@empty\else% + \ifx\psk@yAxisLabelPos\@empty\uput[90](#1,#4){\psk@yAxisLabel}% + \else\rput{90}(\psk@yAxisLabelPos){\psk@yAxisLabel}% + \fi% + \fi% + \ignorespaces% +} +\def\endpsgraph{% + \pst@killglue% + \endpspicture% + \endgroup% +} +\@namedef{psgraph*}{\psgraph*} +\@namedef{endpsgraph*}{\endpsgraph} +% +\define@key[psset]{pstricksadd}{ignoreLines}{\def\psk@ignoreLines{#1}} + +\newcount\linecnt +\begingroup +\catcode`\,=13 +\catcode`\_=13 +\gdef\savedata@#1[#2]{% + \xdef\pst@tempg{#2_}% + \endgroup + \let#1\pst@tempg + \global\let\pst@tempg\relax + \ignorespaces} +\gdef\readdata@{% + \read1 to \pst@tempA + \ifnum\linecnt=\psk@nStep + \global\linecnt=0 + \expandafter\readdata@@\pst@tempA_\@nil + \fi + \global\advance\linecnt by 1 + \ifeof1\else\expandafter\readdata@\fi} +\gdef\pst@@readfile#1#2\@nil{\addto@pscode{,#1#2}}% +\gdef\readdata@@#1#2\@nil{\xdef\pst@tempg{\pst@tempg,#1#2}}% +\endgroup + +\def\readdata{\@ifnextchar[{\readdata@i}{\readdata@i[]}} +\def\readdata@i[#1]#2#3{% + \def\pst@tempA{#1}% + \ifx\pst@tempA\@empty\else\psset{#1}\fi + \openin1=#3 + \begingroup + \def\pst@tempg{}% + \ifeof1 + \@pstrickserr{Data file `#3' not found.}\@ehpa + \else + \pst@datadelimiters + \catcode`\[=1 + \catcode`\]=2 + \pst@cnta=0 + \loop \ifnum\the\pst@cnta<\psk@ignoreLines + \advance\pst@cnta by 1\relax + \read1 to \pst@tempA + \repeat + \ifnum\Pst@Debug>0 \typeout{>>> ignored \the\pst@cnta\space data lines}\fi% + \global\linecnt=\psk@nStep% + \readdata@% + \fi% + \endgroup% + \global\let#2\pst@tempg% + \global\let\pst@tempg\relax% +\ignorespaces} +% +% D.G. addition - Jun. 9, 1998 - Polar plots using the \psplot macro +% Code added according the way suggested by Ulrich Dirr +% For polar plots +\define@boolkey[psset]{pstricksadd}[Pst@]{polarplot}[true]{} +\define@boolkey[psset]{pstricksadd}[Pst@]{algebraic}[true]{} +\psset[pstricksadd]{polarplot=false,algebraic=false}% remark of ML +% +\define@key[psset]{pstricksadd}{method}{\def\psk@method{#1}}% adams - rk4 +\define@key[psset]{pstricksadd}{whichabs}{\def\psk@whichabs{#1}}% +\define@key[psset]{pstricksadd}{whichord}{\def\psk@whichord{#1}}% +\define@key[psset]{pstricksadd}{plotfuncx}{\def\psk@plotfuncx{#1}}% +\define@key[psset]{pstricksadd}{plotfuncy}{\def\psk@plotfuncy{#1}}% +\define@key[psset]{pstricksadd}{expression}{\def\psk@expression{#1}}% +\define@boolkey[psset]{pstricksadd}[Pst@]{buildvector}[true]{}% +\def\@rkiv{rk4}% Runge-Kutta 4 method +\def\@adams{adams}% Adams method +\def\@default{default}% Adams method +% +\define@boolkey[psset]{pstricksadd}[Pst@]{VarStep}[true]{} +\define@key[psset]{pstricksadd}{PlotDerivative}{\def\psk@PlotDerivative{#1}}% +\define@key[psset]{pstricksadd}{VarStepEpsilon}{\def\psk@VarStepEpsilon{#1}}% +\define@key[psset]{pstricksadd}{varsteptol}{\def\psk@varsteptol{#1}}% adams - rk4 +\define@key[psset]{pstricksadd}{adamsorder}{\def\psk@adamsorder{#1}}% adams - rk4 +%\define@key[psset]{pstricksadd}{varstepincrease}{\def\psk@varstepincrease{#1}}% varrk4 +% +\def\psplot@i#1#2#3{% + \pst@killglue + \begingroup + \use@par + \@nameuse{beginplot@\psplotstyle}% +% D.G. modification begin - Jun. 9, 1998 + \ifPst@polarplot + \addto@pscode{% + \psplot@init + /x #1 def + /x1 #2 def + /dx x1 x sub \psk@plotpoints div def + /F@pstplot \ifPst@algebraic (#3) + \ifx\psk@PlotDerivative\@none\else + \psk@PlotDerivative\space { (x) tx@Derive begin Derive end } repeat + \fi\space + tx@AlgToPs begin AlgToPs end cvx + \else { #3 } \fi def + \ifPst@VarStep + /StillZero 0 def /LastNonZeroStep dx def + /F2@pstplot tx@Derive begin (#3) (x) Derive (x) Derive end + \ifx\psk@PlotDerivative\@none\else + \psk@PlotDerivative\space { (x) tx@Derive begin Derive end } repeat + \fi\space + tx@AlgToPs begin AlgToPs end cvx def + %% computation of the tolerance defined by plotpoints + /epsilon12 \ifx\psk@VarStepEpsilon\@default tx@Derive begin F2@pstplot end dx 3 exp abs mul abs + \else\psk@VarStepEpsilon\space 12 mul \fi def + /ComputeStep { + dup 1e-4 lt + { pop StillZero 2 ge { LastNonZeroStep 2 mul } { LastNonZeroStep } ifelse /StillZero StillZero 1 add def } + { epsilon12 exch div 1 3 div exp /StillZero 0 def } + ifelse } bind def + \fi + /xy {% Adapted from \parametricplot@i + F@pstplot x \ifPst@algebraic RadtoDeg \fi PtoC +% #3 dup x cos mul exch x sin mul + \pst@number\psyunit mul exch + \pst@number\psxunit mul exch + } def}% + \else +% D.G. modification end + \addto@pscode{% + \psplot@init + /x #1 def + /x1 #2 def + /dx x1 x sub \psk@plotpoints div def + /F@pstplot \ifPst@algebraic (#3) + \ifx\psk@PlotDerivative\@none\else + \psk@PlotDerivative\space { (x) tx@Derive begin Derive end } repeat + \fi\space + tx@AlgToPs begin AlgToPs end cvx + \else { #3 } \fi def + \ifPst@VarStep + /StillZero 0 def /LastNonZeroStep dx def + /F2@pstplot tx@Derive begin (#3) (x) Derive (x) Derive end + \ifx\psk@PlotDerivative\@none\else + \psk@PlotDerivative\space { (x) tx@Derive begin Derive end } repeat + \fi\space + tx@AlgToPs begin AlgToPs end cvx def + %% computation of the tolerance defined by plotpoints + /epsilon12 \ifx\psk@VarStepEpsilon\@default tx@Derive begin F2@pstplot end dx 3 exp abs mul abs + \else\psk@VarStepEpsilon\space 12 mul \fi def + /ComputeStep { + dup 1e-4 lt + { pop StillZero 2 ge { LastNonZeroStep 2 mul } { LastNonZeroStep } ifelse /StillZero StillZero 1 add def } + { epsilon12 exch div 1 3 div exp /StillZero 0 def } + ifelse } bind def + \fi + /xy { + x \pst@number\psxunit mul F@pstplot \pst@number\psyunit mul +% \ifPst@algebraic F@pstplot \else #3 \fi \pst@number\psyunit mul + } def}% + \fi + \gdef\psplot@init{}% + \@pstfalse + \@nameuse{testqp@\psplotstyle}% + \if@pst + \psplot@ii + \else + \psplot@iii + \fi + \endgroup + \ignorespaces} +% +\def\psplot@ii{% + \ifPst@VarStep + \addto@pscode{% + mark xy \@nameuse{beginqp@\psplotstyle} + { F2@pstplot abs ComputeStep + x 2 copy add dup x1 gt {pop x1} if /x exch def F2@pstplot abs ComputeStep + /x 3 -1 roll def 2 copy gt { exch } if pop + /x x 3 -1 roll add dup x1 gt {pop x1} if def + xy \@nameuse{doqp@\psplotstyle} + x x1 eq { exit } if} loop}% + \else\pst@killglue% + \addto@pscode{% + xy \@nameuse{beginqp@\psplotstyle} + \ifx\psk@method\@varrkiv\else\psk@plotpoints 1 sub \fi { + /x x dx add \ifx\psk@method\@varrkiv dup x1 gt { pop x1 } if \fi def + xy \@nameuse{doqp@\psplotstyle} + \ifx\psk@method\@varrkiv x x1 eq { exit } if \fi + } \ifx\psk@method\@varrkiv loop\else repeat\fi + /x x1 def + xy \@nameuse{doqp@\psplotstyle}}% + \fi% + \@nameuse{endqp@\psplotstyle}} +\def\psplot@iii{% + \ifPst@VarStep + \addto@pscode{% + /n 2 def + mark + { xy n 2 roll F2@pstplot abs + ComputeStep x 2 copy add dup x1 gt {pop x1} if + /x exch def F2@pstplot abs ComputeStep + /x 3 -1 roll def 2 copy gt { exch } if pop + /x x 3 -1 roll dup /LastNonZeroStep exch def add dup x1 gt {pop x1} if def /n n 2 add def + x x1 eq { exit } if } loop + xy n 2 roll}% + \else\pst@killglue% + \addto@pscode{% + mark + /n 2 def + \ifx\psk@method\@varrkiv\else\psk@plotpoints\fi { + xy + n 2 roll + /n n 2 add def + /x x dx add \ifx\psk@method\@varrkiv dup x1 gt { pop x1 } if \fi def + \ifx\psk@method\@varrkiv x x1 eq { exit } if \fi + } \ifx\psk@method\@varrkiv loop\else repeat\fi + /x x1 def + xy + n 2 roll}% + \fi% + \@nameuse{endplot@\psplotstyle}} +% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\def\parametricplot@i#1#2#3{% + \pst@killglue% + \begingroup + \use@par + \@nameuse{beginplot@\psplotstyle}% + \addto@pscode{% + \psplot@init + /t #1 def + /t1 #2 def + /dt t1 t sub \psk@plotpoints div def + /F@pstplot \ifPst@algebraic (#3) + \ifx\psk@PlotDerivative\@none\else + \psk@PlotDerivative\space { (t) tx@Derive begin Derive end } repeat + \fi\space + tx@AlgToPs begin AlgToPs end cvx + \else { #3 } \fi def + \ifPst@VarStep + /StillZero 0 def /LastNonZeroStep dt def + /F2@pstplot tx@Derive begin (#3) (t) Derive (t) Derive end + \ifx\psk@PlotDerivative\@none\else + \psk@PlotDerivative\space { (t) tx@Derive begin Derive end } repeat + \fi\space + tx@AlgToPs begin AlgToPs end cvx def + %% computation of the tolerance defined by plotpoints + /epsilon12 \ifx\psk@VarStepEpsilon\@default + tx@Derive begin F2@pstplot end Pyth + dt 3 exp abs mul + \else\psk@VarStepEpsilon\space 12 mul \fi def + /ComputeStep { + dup 1e-4 lt + { pop StillZero 2 ge { LastNonZeroStep 2 mul } { LastNonZeroStep } ifelse /StillZero StillZero 1 add def } + { epsilon12 exch div 1 3 div exp /StillZero 0 def } + ifelse } bind def + \fi + /xy { + \ifPst@algebraic F@pstplot \else #3 \fi + \pst@number\psyunit mul exch + \pst@number\psxunit mul exch + } def}% + \gdef\psplot@init{}% + \@pstfalse + \@nameuse{testqp@\psplotstyle}% + \if@pst + \parametricplot@ii + \else + \parametricplot@iii + \fi + \endgroup + \ignorespaces} +\def\parametricplot@ii{% + \ifPst@VarStep + \addto@pscode{% + mark xy \@nameuse{beginqp@\psplotstyle} + { F2@pstplot Pyth ComputeStep + t 2 copy add dup t1 gt {pop t1} if /t exch def F2@pstplot Pyth ComputeStep + /t 3 -1 roll def 2 copy gt { exch } if pop + /t t 3 -1 roll add dup t1 gt {pop t1} if def + xy \@nameuse{doqp@\psplotstyle} + t t1 eq { exit } if } loop}% + \else\pst@killglue% + \addto@pscode{% + xy \@nameuse{beginqp@\psplotstyle} + \psk@plotpoints 1 sub { + /t t dt add def + xy \@nameuse{doqp@\psplotstyle} + } repeat + /t t1 def + xy \@nameuse{doqp@\psplotstyle}}% + \fi% + \@nameuse{endqp@\psplotstyle}} +\def\parametricplot@iii{% + \ifPst@VarStep + \addto@pscode{% + /n 2 def + mark + { xy n 2 roll F2@pstplot Pyth + ComputeStep t 2 copy add dup t1 gt {pop t1} if + /t exch def F2@pstplot Pyth ComputeStep + /t 3 -1 roll def 2 copy gt { exch } if pop + /t t 3 -1 roll dup /LastNonZeroStep exch def add dup t1 gt {pop t1} if def /n n 2 add def + t t1 eq { exit } if } loop + xy n 2 roll}% + \else\pst@killglue% + \addto@pscode{% + mark + /n 2 def + \psk@plotpoints { + xy + n 2 roll + /n n 2 add def + /t t dt add def + } repeat + /t t1 def + xy + n 2 roll}% + \fi% + \@nameuse{endplot@\psplotstyle}} +% +\define@key[psset]{pstricksadd}{barwidth}{\pst@getlength{#1}\Add@barwidth} +\psset[pstricksadd]{barwidth=0.25cm} +% +\def\psbar@ii{\addto@pscode{false \tx@NArray \psbar@iii}} +\def\psbar@iii{% + newpath + n { + /Yval exch def /Xval exch def + Xval \number\Add@barwidth 0.5 mul sub 0 moveto + 0 Yval rlineto \number\Add@barwidth 0 rlineto + 0 Yval neg rlineto \number\Add@barwidth neg 0 rlineto + } repeat +}% +\def\beginplot@bar{\begin@SpecialObj} +\def\endplot@bar{% + \psbar@ii\psk@fillstyle\ifpsshadow\pst@closedshadow\fi% + \pst@stroke + \end@SpecialObj% +} +% +\define@key[psset]{pstricksadd}{StepType}{\pst@expandafter\psset@@StepType{#1}\@nil}% +\def\psset@@StepType#1#2\@nil{% + \ifx#1u\let\psk@StepType\@ne + \else\ifx#1l\let\psk@StepType\z@\else\let\psk@StepType\tw@\fi\fi} +\psset{StepType=lower} % alternative StepType=upper StepType=Riemann +% +\def\psStep{\pst@object{psStep}} +\def\psStep@i(#1,#2)#3#4{% + \begin@ClosedObj% + \addto@pscode{ + \ifPst@algebraic /Func (#4) tx@addDict begin AlgParser end cvx def \fi + /x #1 def + /dx #2 #1 sub #3 div def + /scx { \pst@number\psxunit mul } def + /scy { \pst@number\psyunit mul } def + \ifcase\psk@StepType % 0->lower + x scx 0 moveto + #3 { + \ifPst@algebraic Func \else #4 \fi scy dup x scx exch lineto + /x x dx add def + x scx exch lineto x scx 0 lineto + } repeat + \or % 1-> upper + x scx 0 moveto + #3 { + /x x dx add def + \ifPst@algebraic Func \else #4 \fi scy dup x dx sub scx exch lineto + x scx exch lineto x scx 0 lineto + } repeat + \or % 2-> Riemann + /eps3 100 def + /xMinMax [] def + /AMax [] def + /AMin [] def + /dt dx eps3 div def + #3 { + /Max \ifPst@algebraic Func \else #4 \fi def + /Min Max def + /t x def % save x value + eps3 { + \ifPst@algebraic Func \else #4 \fi + dup + Max lt { /Max exch def } { dup Min gt { /Min exch def }{ pop } ifelse } ifelse + /x x dt add def + } repeat + /x t def % restore + x scx Min scy Max scy xMinMax aload length 3 add array astore /xMinMax exch def + /x x dx add def + } repeat + /dx dx scx def + xMinMax aload length 3 div cvi { + /yMax ED /yMin ED /x ED + x yMin moveto dx 0 rlineto x dx add yMax lineto + dx neg 0 rlineto x yMin lineto } repeat + \fi + }% + \psk@fillstyle + \pst@stroke + \end@ClosedObj% +} +% +\define@key[psset]{pstricksadd}{Derive}{\def\psk@Derive{#1}}% +\def\@NOTEMPTY{NOT@EMPTY}%%dr 0606 +% +%% #1 : x value +%% #2 : delta x +%% #3 : function +\def\psplotTangent{\pst@object{psplotTangent}}% idea from Dominique Rodriguez +\def\psplotTangent@i#1#2#3{% + \begin@OpenObj% +% \let\pst@linetype\pst@arrowtype% +% \pst@addarrowdef% + \ifx\psk@Derive\@empty\ifPst@algebraic\psset{Derive=NOT@EMPTY}\fi\fi%%dr 0606 + \addto@pscode{ + gsave % save current state + /F@pstplot \ifPst@algebraic (#3) tx@addDict begin AlgParser end cvx \else { #3 } \fi def % define function + \ifx\psk@Derive\@empty\else + \ifx\psk@Derive\@NOTEMPTY\else%%dr 0606 + /FDer@pstplot % do we have a derivation defined? + \ifPst@algebraic (\psk@Derive) tx@addDict begin AlgParser end cvx \else { \psk@Derive } \fi def % define derivation + \fi%%dr 0606 + \fi + /@parametric false def %%dr 0606 + % first we calculate the origin + #1 dup /x ED /t ED tx@addDict begin mark F@pstplot end counttomark 1 gt % test, if we have parametricplot + %%{ /y ED /x ED } % if yes, then we have 2 values + { /y ED /x ED /@parametric true def } % if yes, then we have 2 values%%dr 0606 + { \ifPst@polarplot x \ifPst@algebraic RadtoDeg \fi PtoC /y ED /x ED \else /y ED \fi } ifelse + cleartomark + \ifx\psk@Derive\@NOTEMPTY%%begin dr 0606 + %% algebraic we can use the derivative machine + /FDer@pstplot (#3) @parametric { (t) } { (x) } ifelse + tx@Derive begin Derive end tx@addDict begin AlgParser end cvx def + \fi%%end dr 0606 + x \pst@number\psxunit mul y \pst@number\psyunit mul + translate % define the temporary origin + % now we calculate the slope of the tangent + \ifx\psk@Derive\@empty% de we have a derivation defined? + #1 abs 1.0e-6 lt % no, we choose secant for the tangent + { #1 0.0005 add dup /x ED /t ED tx@addDict begin mark F@pstplot end counttomark 1 gt % test, if we have parametricplot + { /y2 ED /x2 ED } % we have 2 values + { \ifPst@polarplot dup x \ifPst@algebraic RadtoDeg \fi + cos mul /x2 ED x \ifPst@algebraic RadtoDeg \fi sin mul \else /x2 x def \fi /y2 ED } ifelse + cleartomark % delete the mark + #1 0.0005 sub dup /x ED /t ED tx@addDict begin mark F@pstplot end counttomark 1 gt % test, if we have parametricplot + { /y1 ED /x1 ED } + { \ifPst@polarplot dup x \ifPst@algebraic RadtoDeg \fi + cos mul /x1 ED x \ifPst@algebraic RadtoDeg \fi sin mul \else /x1 x def \fi /y1 ED } ifelse + cleartomark + y2 y1 sub x2 x1 sub } % dy dx + { % > 1.0e-06 + #1 1.0005 mul dup /x ED /t ED tx@addDict begin mark F@pstplot end counttomark 1 gt % test, if we have parametricplot + { /y2 ED /x2 ED } % we have 2 values + { \ifPst@polarplot dup x \ifPst@algebraic RadtoDeg \fi + cos mul /x2 ED x \ifPst@algebraic RadtoDeg \fi sin mul \else /x2 x def \fi /y2 ED } ifelse + cleartomark + #1 .9995 mul dup /x ED /t ED tx@addDict begin mark F@pstplot end counttomark 1 gt % test, if we have parametricplot + { /y1 ED /x1 ED } % we have 2 values + { \ifPst@polarplot dup x \ifPst@algebraic RadtoDeg \fi + cos mul /x1 ED x \ifPst@algebraic RadtoDeg \fi sin mul \else /x1 x def \fi /y1 ED } ifelse + cleartomark + y2 y1 sub \pst@number\psyunit mul x2 x1 sub \pst@number\psxunit mul } ifelse + atan % atan(dy dx), we have the slope angle of the secant + \else % there is a derivation defined + #1 dup /x ED /t ED tx@addDict begin mark FDer@pstplot end counttomark 1 gt % test, if we have parametricplot + { /y ED /x ED } + { \ifPst@polarplot /Fphi ED % the value F'(phi) + tx@addDict begin F@pstplot end x \ifPst@algebraic RadtoDeg \fi PtoC /y0 ED /x0 ED % the x y values + x \ifPst@algebraic RadtoDeg \fi sin Fphi mul x0 add /y ED + x \ifPst@algebraic RadtoDeg \fi cos Fphi mul y0 sub /x ED + \else /y ED /x 1 def \fi } ifelse + cleartomark + y \pst@number\psyunit mul x \pst@number\psxunit mul Atan +% y ATAN1 % we have the slope angle of the tangent. ATAN is defined int the pstricks.pro, patch 6 + \fi + rotate % rotate, depending to the origin + /Lineto /lineto load def + [ + -#2 \pst@number\psxunit mul 0 % moveto + #2 \pst@number\psxunit mul 0 % lineto + \pst@cp % kill the currentpoint, if any + false % don't show the points + \tx@Line +% ArrowA CP 4 2 roll ArrowB L % the line with arrows L is defined in pstricks.pro +% \pst@number\pslinewidth SLW % set linewidth in pt +% \@nameuse{psls@\pslinestyle} % linestyle +% \pst@usecolor\pslinecolor % linecolor + stroke % stroke everything + \ifshowpoints % show the points? + \psk@dotsize + \@nameuse{psds@\psk@dotstyle}% + 0 0 Dot + \fi + grestore % restore old graphics state + }% + \use@pscode % part of \end@OpenObj + \endgroup% % part of \end@OpenObj + \ignorespaces% % part of \end@OpenObj +}% +% +\def\@varrkiv{varrkiv}% Runge-Kutta 4 with an adaptive step method +%% #1-#2 x range +%% #3 initial value of y (which is a vector) y(0) y'(0) y''(0) ... +%% #4 value of the derivative (y and t can be used) +% +\def\psplotDiffEqn{\pst@object{psplotDiffEqn}}% initial code by Dominique 2005-05-21 +\def\psplotDiffEqn@i#1#2#3#4{% + \pst@killglue% + \begingroup% + \use@par% + \@nameuse{beginplot@\psplotstyle}% + \addto@pscode{% + /x #1 def % first value + /x1 #2 def % last value + /y [ #3 ] def % values for t=0 + /ylength y length def % number of elements in #3 + /addvect { + 1 1 ylength { + /i exch def + ylength i sub 2 add -1 roll add ylength 2 mul i sub 1 roll + } for + } def + /dx x1 x sub \psk@plotpoints\space div def + /mulvect { + ylength exch + 1 index { + dup 4 -1 roll mul 2 index 2 add 1 roll + } repeat + pop pop } def + /divvect { ylength exch 1 index { dup 4 -1 roll exch div 2 index 2 add 1 roll } repeat pop pop } def + /k0 0 def /k1 0 def /k2 0 def /k3 0 def + \ifPst@algebraic /F@pstplot (#4) tx@addDict begin AlgParser end cvx def \fi + /Func { + \ifPst@algebraic F@pstplot ylength array astore + \else + \ifPst@buildvector\else y aload pop \fi #4 + \ifPst@buildvector\else ylength array astore \fi + \fi + } def + \ifx\psk@method\@adams /F1 0 def /F2 0 def /F3 0 def /F4 0 def /F5 0 def /F6 0 def /INIT 1 def \fi + \ifx\psk@method\@empty\else + \ifx\psk@method\@varrkiv %% RUNGE-KUTTA method with var step algorithm + /VarStep false def /VarStepRatio 1 def + /RK { + /k0 Func { dx mul } forall ylength array astore def %% y + dup aload pop k0 { 2 div } forall addvect ylength array astore /y exch def % + x dup dx 2 div add /x exch def %% y x + /k1 Func { dx mul } forall ylength array astore def %% y x + exch dup aload pop k1 { 2 div } forall addvect y astore pop %% x y + /k2 Func { dx mul } forall ylength array astore def %% x y + dup aload pop k2 aload pop addvect y astore pop exch dup dx add /x exch def %% y x + /k3 Func { dx mul } forall ylength array astore def %% y x + /x exch def %% y + dup aload pop k0 aload pop k1 aload pop k2 aload pop addvect + 2 mulvect addvect k3 aload pop addvect + 6 divvect addvect y astore + } def + /VARRK { + VarStep + %{ /dx dx \psk@varstepincrease\space mul def /VarStep false def } if + { /dx dx VarStepRatio mul def /VarStep false def } if + x dx add x1 gt { /dx x1 x sub def } if + %{ /dx dx \psk@varstepdecrease\space div def } ifelse + %% we compute y(x+dx) from y(x) using RK4 + RK %% y(x) y(x+dx) + exch /y exch def /dx dx 2 div def + { %% we compute y(x+dx/2) from y(x) using RK4 + y RK %% y(x+dx) y(x+dx/2) + %% then y(x+dx) from y(x+dx/2) using RK4 + /y exch def y RK %% y(x+dx) y(x) y(x+dx/2) y(x+dx) + dup aload pop 4 ylength add -1 roll + { -1 mul } forall addvect 0 ylength { exch abs 2 copy lt { exch } if pop } repeat + 0 3 -1 roll {abs 2 copy lt { exch } if pop } forall + dup 1e-6 lt { pop } { div } ifelse + /dx dx 2 mul def + dup \psk@varsteptol\space lt + %{ \psk@varsteptol\space div .1 lt { /VarStep true def } if pop exit } if + %pop /dx dx 4 div def exch /y exch def } loop + { .001 div dup .1 lt + { dup 1e-6 lt { pop 3 } { log neg } ifelse /VarStepRatio exch def /VarStep true def } + { pop } ifelse pop exit } if + pop /dx dx 4 div def exch /y exch def } loop + } def + \else %% RUNGE-KUTTA & ADAMS methods + /RK { + /k0 Func { dx mul } forall ylength array astore def %% y + dup aload pop k0 { 2 div } forall addvect ylength array astore /y exch def % + x dup dx 2 div add /x exch def %% y x + /k1 Func { dx mul } forall ylength array astore def %% y x + exch dup aload pop k1 { 2 div } forall addvect y astore pop %% x y + /k2 Func { dx mul } forall ylength array astore def %% x y + dup aload pop k2 aload pop addvect y astore pop exch dup dx add /x exch def %% y x + /k3 Func { dx mul } forall ylength array astore def %% y x + /x exch def %% y + dup aload pop k0 aload pop k1 aload pop k2 aload pop addvect + 2 mulvect addvect k3 aload pop addvect + 6 divvect addvect y astore pop + } def + \ifx\psk@method\@adams + /ADAMS { + \ifcase\psk@adamsorder + \errmessage{pstricks-add error: no order 0th for adams method (see user's manual)} + \or\errmessage{pstricks-add error: no order 1st for adams method (see user's manual)} + \or\errmessage{pstricks-add error: no order 2nd for adams method (see user's manual)} + \or\errmessage{pstricks-add error: no order 3rd for adams method (see user's manual)} + \or + %% ORDRE 4 + F4 aload pop 55 mulvect + F3 aload pop -59 mulvect addvect + F2 aload pop 37 mulvect addvect + F1 aload pop -9 mulvect addvect + dx mulvect 24 divvect + \or + %% ORDRE 5 + F5 aload pop 1901 mulvect + F4 aload pop -2774 mulvect addvect + F3 aload pop 2616 mulvect addvect + F2 aload pop -1274 mulvect addvect + F1 aload pop 251 mulvect addvect + dx mulvect 720 divvect + \or + %% ORDRE 6 + F6 aload pop 4277 mulvect + F5 aload pop -7923 mulvect addvect + F4 aload pop 9982 mulvect addvect + F3 aload pop -7298 mulvect addvect + F2 aload pop 2877 mulvect addvect + F1 aload pop -475 mulvect addvect + dx mulvect 1440 divvect + \fi + y aload pop addvect ylength array astore /y exch def } def + \fi + \fi + \fi + /xy { + \ifx\psk@plotfuncx\@empty + \ifx\psk@whichabs\@empty x \else y \psk@whichabs\space get \fi + \else \psk@plotfuncx\space \fi + \pst@number\psxunit mul y + \ifx\psk@method\@empty %% EULER method + /y Func { dx mul } forall y aload pop addvect ylength array astore def + \else% + \ifx\psk@method\@varrkiv %% RUNGE-KUTTA method + VARRK + \else\ifx\psk@method\@rkiv %% RUNGE-KUTTA method + RK + \else + /F1 F2 def /F2 F3 def /F3 F4 def /F4 %% ADAMS method + \ifcase\psk@adamsorder\or\or\or\or + %% ORDRE 4 + Func def + \or + %% ORDRE 5 + F5 def /F5 Func def + \or + %% ORDRE 6 + F5 def /F5 F6 def /F6 Func def + \fi + INIT \psk@adamsorder\space lt + { RK /INIT INIT 1 add def } + { ADAMS } ifelse + \fi\fi + \fi + \ifx\psk@plotfuncy\@empty + \ifx\psk@whichord\@empty 0 \else \psk@whichord\space \fi get % + \else \psk@plotfuncy\space \fi + \pst@number\psyunit mul + } def + }% + \gdef\psplot@init{}% + \@pstfalse + \@nameuse{testqp@\psplotstyle}% + \if@pst\psplot@ii\else\psplot@iii\fi + \endgroup% + \ignorespaces% +} +% +% +\def\psGTriangle{\pst@object{psGTriangle}} +\def\psGTriangle@i(#1)(#2)(#3)#4#5#6{{% + \def\solid@star{}% + \begin@ClosedObj + \pst@getcoor{#1}\pst@tempA% A: "rgb xr xg xb" or "gray xg" + \pst@getcoor{#2}\pst@tempB% B + \pst@getcoor{#3}\pst@tempC% C + \pst@getcolor{#4}\pst@colorA + \pst@getcolor{#5}\pst@colorB + \pst@getcolor{#6}\pst@colorC + \addto@pscode{% + \pst@tempC % C + \pst@tempB % B + \psk@gangle % rotating angle + \pst@tempA % A, temporary origin + /rgb {} def + /gray {} def + [ \pst@colorC ] aload length 1 eq { dup dup } if 3 array astore % gray -> rgb + [ \pst@colorB ] aload length 1 eq { dup dup } if 3 array astore + [ \pst@colorA ] aload length 1 eq { dup dup } if 3 array astore + tx@addDict begin GTriangle end % PS part + }% + \if@star\pspolygon(#1)(#2)(#3)\fi% draw borderline + \def\pst@linetype{2}% + \end@ClosedObj% +}} +% +\define@key[psset]{pstricksadd}{dicescale}{\def\psk@dicescale{#1}} +\def\psdice{\pst@object{psdice}} +\def\psdice@i#1{{% + \pst@killglue + \psset{framearc=0.3,linewidth=1pt,dicescale=1.0}% + \use@par% + \psscalebox{\psk@dicescale}{% + \psframe(-0.5,-0.5)(0.5,0.5)% + \ifcase#1% + \or\qdisk(0,0){3pt}% + \or\qdisk(-0.3,-0.3){3pt}\qdisk(0.3,0.3){3pt}% + \or\psdice@i{1}\psdice@i{2}% + \or\qdisk(-0.3,0.3){3pt}\qdisk(-0.3,-0.3){3pt}% + \qdisk(0.3,0.3){3pt}\qdisk(0.3,-0.3){3pt}% + \or\psdice@i{1}\psdice@i{4}% + \or\psdice@i{4}\qdisk(-0.3,0){3pt}\qdisk(0.3,0){3pt}% + \fi}% + \ignorespaces% +}} +% +% the datafile must be a matrix with +% /dotmatrix [ +% ..... +% ..... +% ] def +% +\def\psMatrixPlot{\pst@object{psMatrixPlot}} +\def\psMatrixPlot@i#1#2#3{% + \pst@killglue + \begingroup + \begin@SpecialObj% + \addto@pscode{ + (#3) run % load the data file + \psk@dotsize + \@nameuse{psds@\psk@dotstyle} % + /n 0 def % index for element + 1 1 #1 { % the y loop (outer one) + /y exch def % save y + 1 1 #2 { % the x loop (inner one) + /x exch def % save x + dotmatrix n get % get value from matrix + dup 0 gt { % test if > 0 + x \pst@number\psxunit mul + \ifPst@ChangeOrder #1 y sub 1 add \else y \fi \pst@number\psyunit mul Dot% + } { pop } ifelse + /n n 1 add def + } for + } for + }% + \end@SpecialObj% + \endgroup% + \ignorespaces% +} +% +\def\resetOptions{% + \@zero=0% + \def\pst@linetype{0}% + \psset[pstricksadd]{% + transpalpha=1, + hooklength=3mm, hookwidth=1mm, + ArrowFill=true,% + ArrowInside={}, ArrowInsidePos=0.5,% + ArrowInsideNo=1, ArrowInsideOffset=0} + \psset{% +%%%% pstricks %%%%%%%% + unit=1cm,% + swapaxes=false,% + showpoints=false,% + border=0pt, bordercolor=white,% + doubleline=false, doublesep=1.25\pslinewidth,% + doublecolor=white,% + shadow=false, shadowsize=3pt, shadowangle=-45, shadowcolor=darkgray,% + linewidth=.8pt,% + linecolor=black,% + maxdashes=11, dash=5pt 3pt, dashadjust=true, % + dotsep=3pt,% + linestyle=solid,% + fillcolor=white,% + hatchwidth=.8pt, hatchsep=4pt, hatchcolor=black, hatchangle=45,% + hatchsepinc=0pt,hatchwidthinc=0pt,% + fillstyle=none,% + nArrows=2,% + arrows=-, arrowscale=1, arrowsize=1.5pt 2, arrowlength=1.4, arrowinset=.4,% + tbarsize=2pt 5,% + bracketlength=.15, rbracketlength=.15,% + liftpen=0, linetype=0,% + gangle=0,% + curvature=1 .1 0,% + dotsize=2pt 2,% + dotangle=0, dotscale=1, dotstyle=*,% + linearc=0pt,% + framearc=0,% + cornersize=relative,% + dimen=middle,% + gridwidth=.8pt, griddots=0, gridcolor=black,% + subgridwidth=.4pt, subgridcolor=gray, subgriddots=0, subgriddiv=5,% + gridlabels=10pt, gridlabelcolor=black,% + framesep=3pt, boxsep=true,% + trimode=U,% + arcsep=0,radius=.25cm,% + ref=c,rot=0,labelsep=5pt,refangle=0,% + intSeparator={,},% + dicescale=1.0,% +%%%%%%%%% pst-plot %%%%%%%%%%%%% + labelFontSize={},% + StepType=lower, % alternative SumType=upper + plotstyle=line,plotpoints=50,% +% barwidth=0.25cm,% individuell set + ticksize=-4pt 4pt, + tickstyle=full, ticks=all,% + subticksize=0.75,subticks=1,tickcolor=black,% + ticklinestyle=solid,subticklinestyle=solid,% + subtickcolor=gray,% + tickwidth=0.5\pslinewidth,subtickwidth=0.25\pslinewidth,% + labels=all,Ox=0,Dx=1,dx=0,Oy=0,Dy=1,dy=0,% + xlabelFactor=\relax,ylabelFactor=\relax,% + showorigin=true,% + axesstyle=axes,% + ChangeOrder=false,% + braceWidth=0.35,bracePos=0.5,% + arrowscale=1,% + dashColorI=black,dashColorII=red,dashNo=0.2,linecap=0,% + xyAxes=true,% + trigLabels=false,trigLabelBase=0,% + xDecimals={},yDecimals={},% + xlogBase={},ylogBase={},% + logLines=none,% + ignoreLines=0,% + nStep=1,nStart=0,nEnd={},% + xStep=0,yStep=0,xStart={},xEnd={},yStart={},yEnd={},comma=false,% + plotNo=1,plotNoMax=1,% + xAxisLabel=x,yAxisLabel=y,% + yAxisLabelPos={},xAxisLabelPos={},% + llx=\z@, lly=\z@, urx=\z@, ury=\z@,% prevents rounding errors + randomPoints=1000,color=false,% + method={},whichabs={},whichord={},% + plotfuncx={},plotfuncy={},buildvector=false, +% algebraic=false, % indivisuelly set + Derive={},adamsorder=4,% + VarStep=false, PlotDerivative=none, VarStepEpsilon=default,% + varsteptol=.001,% + %%%%%%%%% pst-node %%%%%%%%%% + lineAngle=0,% + nodealign=false,% + href=0,% + vref=.7ex,% + framesize=10pt,% + nodesep=0pt,% + arm=10pt,% + offset=0pt,% + angle=0,% + arcangle=8,% + ncurv=.67,% + loopsize=1cm,% + boxsize=.4cm,% + nrot=0,% + npos=,% + tpos=0.5,% + shortput=none,% + colsep=1.5cm,% + rowsep=1.5cm,% + mcol=c,% + mnode=R,% + emnode=none +}} +% +\resetOptions +% +\catcode`\@=\PstAtCode\relax +% +%% END: pstricks-add.tex +\endinput + diff --git a/Master/texmf-doc/tpm/mathmode.tpm b/Master/texmf-doc/tpm/mathmode.tpm index 2d9aff82921..d966785c345 100644 --- a/Master/texmf-doc/tpm/mathmode.tpm +++ b/Master/texmf-doc/tpm/mathmode.tpm @@ -3,7 +3,7 @@ mathmode Documentation - 2006/08/05 09:01:13 + 2006/09/27 20:12:06 karl The mathmode package. @@ -12,7 +12,7 @@ 5508520 texmf-doc/tpm/mathmode.tpm - + texmf-doc/doc/english/mathmode/Changes texmf-doc/doc/english/mathmode/EuScript.eps texmf-doc/doc/english/mathmode/EuScript.pdf @@ -41,6 +41,7 @@ texmf-doc/doc/english/mathmode/node.eps texmf-doc/doc/english/mathmode/node.pdf texmf-doc/doc/english/mathmode/pamath-crop.pdf texmf-doc/doc/english/mathmode/pazo-crop.pdf +texmf-doc/doc/english/mathmode/pstricks-add.tex texmf-doc/doc/english/mathmode/runLaTeX texmf-doc/doc/english/mathmode/runPDFLaTeX texmf-doc/doc/english/mathmode/runVTeX diff --git a/Master/texmf/lists/mathmode b/Master/texmf/lists/mathmode index 4e7904677c5..c86cd3c378f 100644 --- a/Master/texmf/lists/mathmode +++ b/Master/texmf/lists/mathmode @@ -26,6 +26,7 @@ texmf-doc/doc/english/mathmode/node.eps texmf-doc/doc/english/mathmode/node.pdf texmf-doc/doc/english/mathmode/pamath-crop.pdf texmf-doc/doc/english/mathmode/pazo-crop.pdf +texmf-doc/doc/english/mathmode/pstricks-add.tex texmf-doc/doc/english/mathmode/runLaTeX texmf-doc/doc/english/mathmode/runPDFLaTeX texmf-doc/doc/english/mathmode/runVTeX -- cgit v1.2.3