pst-eucl (15jul20)

git-svn-id: svn://tug.org/texlive/trunk@55844 c570f23f-e606-0410-a88d-b1316a301751

5 files changed, 284 insertions, 34 deletions

diff --git a/Master/texmf-dist/doc/generic/pst-eucl/Changes b/Master/texmf-dist/doc/generic/pst-eucl/Changes
index 101f759b4bf..a80eb43537d 100644
--- a/Master/texmf-dist/doc/generic/pst-eucl/Changes
+++ b/Master/texmf-dist/doc/generic/pst-eucl/Changes
@@ -6,6 +6,11 @@ pst-eucl.pro --------
 
 
 pst-eucl.tex --------
+1.74  2020/07/15 - add macro to draw the equilateral triangle on a given side AB, \pstETriangleAB.
+                 - add macro to draw the square on a given side AB, \pstSquareAB.
+                 - add macro to draw the regular polygon on a given side AB, \pstRegularPolygonAB.
+                 - add macro to draw the regular polygon with center O and base point A, \pstRegularPolygonOA.
+                 - add macro to draw the circle with radius length and two nodes A, B, \pstCircleABR.
 1.73  2020/06/07 - Allow the star version for \pstLabelAB to use \cput* or \cput for the label
 1.72a 2020/06/07 - fix a typo in the macro definition \pstMarkAngle
 1.72  2020/04/18 - revert the change of \pstTriangle in v1.69, we should use \pst@object to clear \pst@par.
diff --git a/Master/texmf-dist/doc/generic/pst-eucl/pst-eucl-doc.bib b/Master/texmf-dist/doc/generic/pst-eucl/pst-eucl-doc.bib
index 7e9f03b0003..f1d5a1b2ed4 100644
--- a/Master/texmf-dist/doc/generic/pst-eucl/pst-eucl-doc.bib
+++ b/Master/texmf-dist/doc/generic/pst-eucl/pst-eucl-doc.bib
@@ -41,17 +41,17 @@
 
 @ctan{multido,
 title = {The Multido package},
-subtitle = {A loop facility for Generic TeX},
+subtitle = {A loop facility for Generic \TeX},
 author = {Van Zandt, Timothy and Voß, Herbert and  Niepraschk, Rolf},
 url = {macros/latex/multido},
 urldate = {2018-09-01}, 
-version = {1.42}
+version = {1.42},
 }
 
 
 @Book{PSTricks2,
   author	= {Herbert Voß},
-  title		= {\texttt{PSTricks} -- {G}rafik f\"ur \TeX{} und \LaTeX},
+  title		= {\texttt{PSTricks} -- {G}rafik für \TeX{} und \LaTeX},
   edition	= {7},
   publisher	= {DANTE {\eV} and Lehmanns Media},
   date		= {2016},
@@ -88,7 +88,7 @@ version = {1.42}
 
 @Book{tbt,
   author	= {Victor Eijkhout},
-  title		= {\TeX\ by Topic -- {A} \TeX{}nician Reference},
+  title		= {\TeX\ by Topic -- A \TeX{}nician Reference},
   edition	= {1},
   publisher	= {DANTE {\eV} and Lehmanns Media},
   year		= {2014},
@@ -99,7 +99,7 @@ version = {1.42}
 
 @Article{dtk02.1:voss:mathematischen,
   author	= {Herbert Voß},
-  title		= {Die mathematischen {F}unktionen von {P}ostscript},
+  title		= {Die mathematischen Funktionen von Postscript},
   journal	= dtk,
   year		= 2002,
   volume	= {1/02},
@@ -108,14 +108,5 @@ version = {1.42}
   month		= mar,
   pages		= {40-47},
   annote	= bretter,
-  abstract	= { \PS, faktisch genauso alt wie {\TeX}, ist im
-		  Verh{\"a}ltnis dazu allgemein noch weniger bekannt, wenn es
-		  darum geht zu beurteilen, was es denn nun im eigentlichen
-		  Sinne ist. Au{\ss}erdem wird h{\"a}ufig vergessen, dass
-		  sich mit den \PS-Funktionen viele Dinge erledigen lassen,
-		  bei denen sonst auf externe Programme zur{\"u}ckgegriffen
-		  wird. Dies wird im Folgenden f{\"u}r die mathematischen
-		  Funktionen im Zusammenhang mit dem Paket \texttt{pst-plot}
-		  gezeigt. }
 }
 
diff --git a/Master/texmf-dist/doc/generic/pst-eucl/pst-eucl-doc.pdf b/Master/texmf-dist/doc/generic/pst-eucl/pst-eucl-doc.pdf
index 0f792fb8759..cbb859381ea 100644
--- a/Master/texmf-dist/doc/generic/pst-eucl/pst-eucl-doc.pdf
+++ b/Master/texmf-dist/doc/generic/pst-eucl/pst-eucl-doc.pdf
diff --git a/Master/texmf-dist/doc/generic/pst-eucl/pst-eucl-doc.tex b/Master/texmf-dist/doc/generic/pst-eucl/pst-eucl-doc.tex
index cf38bc251e7..054dae2eb27 100644
--- a/Master/texmf-dist/doc/generic/pst-eucl/pst-eucl-doc.tex
+++ b/Master/texmf-dist/doc/generic/pst-eucl/pst-eucl-doc.tex
@@ -1,4 +1,5 @@
-\documentclass[11pt,english,BCOR10mm,DIV12,bibliography=totoc,parskip=false,smallheadings,
+\PassOptionsToPackage{style=dtk}{biblatex}
+\documentclass[11pt,english,BCOR10mm,DIV=12,bibliography=totoc,parskip=false,smallheadings,
     headexclude,footexclude,oneside,english]{pst-doc}
 \usepackage{pst-eucl}
 \let\pstEuclideFV\fileversion
@@ -14,9 +15,10 @@
 \def\Argsans#1{$\langle$#1$\rangle$}
 \def\DefaultVal#1{(by default #1)}
 
-\usepackage{biblatex}
 \addbibresource{\jobname.bib}
 
+\lstset{rframe={}}
+
 
 \title{\texttt{pst-euclide}}
 \subtitle{A PSTricks package for drawing geometric pictures; v.\pstEuclideFV}
@@ -352,8 +354,8 @@ the rule bar and the segment.
 It does not display the ruler bar as default, and you need to setup \Lkeyword{linestyle}
 to display it. The star version uses also the star version of the put macro (white background).
 
-\begin{LTXexample}[width=6cm,pos=l]
-\begin{pspicture}[showgrid=true](-1,-1)(4,4)
+\begin{LTXexample}[pos=t]
+\begin{pspicture}[showgrid=true](-2,-2)(5,5)
 \psset{dotscale=0.5}\psset{PointSymbol=*}\footnotesize
 \pstGeonode[PosAngle=-90](0.5,1.5){A}
 \pstGeonode[PosAngle=-90](2.5,1.5){B}\pstLineAB{A}{B}
@@ -1267,6 +1269,26 @@ With this package, it becomes possible to draw:
 
 \vspace{10pt}
 
+The macro \Lcs{pstCircleABR} draws the circle of given radius length $R$, through two given nodes $A$ and $B$, then outputs the circle center $O$.
+
+\begin{BDef}
+\Lcs{pstCircleABR}\OptArgs\Largb{A}\Largb{B}\Largb{$R$}\Largb{O}
+\end{BDef}
+
+Note that through from $A$ to $B$ and through from $B$ to $A$ will get the figure symmetric to $AB$.
+For example,
+
+\begin{LTXexample}[width=6cm,pos=l]
+\begin{pspicture}[showgrid](-3,-3)(3,3)\footnotesize
+\psset{unit=0.50cm}\psset{dotscale=0.5}\psset{PointSymbol=*}
+\pstGeonode[PosAngle={30,210}](1,0){A}(-2,-1){B}
+\pstCircleABR[linecolor=red!80]{A}{B}{\pstDistConst{2.5}}{O_1}
+\pstCircleABR[linecolor=blue!80]{B}{A}{\pstDistConst{2.5}}{O_2}
+\end{pspicture}
+\end{LTXexample}
+
+\vspace{10pt}
+
 The following example show how to use the more complex distance macros,
 and the parameter to fill the circle.
 
@@ -1594,6 +1616,71 @@ When they are separated, the radical axis is between of the circles.
 \end{pspicture}
 \end{LTXexample}
 
+\subsection{Regular polygons}
+For the 3-side and 4-side regular polygon, we provide the macro \Lcs{pstETriangleAB} and \Lcs{pstSquareAB} to draw them.
+In general, you can use the macro \Lcs{pstRegularPolygonAB} and \Lcs{pstRegularPolygonOA} to get a n-side regular polygon.
+
+\begin{BDef}
+\Lcs{pstETriangleAB}\OptArgs\Largb{A}\Largb{B}\Largb{C}\\
+\Lcs{pstSquareAB}\OptArgs\Largb{A}\Largb{B}\Largb{C}\Largb{D}\\
+\Lcs{pstRegularPolygonAB}\OptArgs\Largb{$A_0$}\Largb{$A_1$}\Largb{$n$}\Largb{$A_2,A_3,\cdots,A_{n-1}$}\\
+\Lcs{pstRegularPolygonOA}\OptArgs\Largb{$O$}\Largb{$A_0$}\Largb{$n$}\Largb{$A_1,A_2,\cdots,A_{n-1}$}
+\end{BDef}
+
+The macro \Lcs{pstETriangleAB} draw a equilateral triangle on a given side $AB$, and output the third node $C$;
+The macro \Lcs{pstSquareAB} draw a square on a given side $AB$, and output the other two nodes $C$, $D$;
+The macro \Lcs{pstRegularPolygonAB} draw a n-side regular polygon on a given side $A_0A_1$, and output the other nodes $A_2,A_3,\cdots,A_{n-1}$;
+The macro \Lcs{pstRegularPolygonOA} draw a n-side regular polygon with center $O$ and base point $A_0$, and output the other nodes $A_1,A_2,\cdots,A_{n-1}$.
+
+You can use the parameters \Lkeyword{linestyle}, \Lkeyword{linecolor}, \Lkeyword{linewidth}
+to control the line style; and use the parameters \Lkeyword{PointName}, \Lkeyword{PosAngle}, 
+\Lkeyword{PointSymbol} to control the point nodes; and use the parameters \Lkeyword{CurveType},
+\Lkeyword{fillstyle}, \Lkeyword{fillcolor} to control the polygon style. 
+
+For the last output point list in macro \Lcs{pstRegularPolygonAB} and \Lcs{pstRegularPolygonOA}, if you do not enter a complete point list, 
+the remaining points will be automatically named.
+
+Note that draw regular polygon with side from $A$ to $B$ and side from $B$ to $A$ will get the figure symmetric to $AB$.
+Here are some examples.
+
+\begin{LTXexample}[width=6cm,pos=l]
+\begin{pspicture}[showgrid](-1,-2)(3,2)
+\psset{unit=0.40cm}\footnotesize\psset{PointSymbol=none,PointNameSep=0.22cm}
+\pstGeonode[PosAngle={180,0},PointSymbol=*](0,0){A}(5,0){B}
+\pstETriangleAB[linecolor=red!60,PosAngle=90,PointSymbol=*]{A}{B}{C}
+\pstETriangleAB[linecolor=blue!60,PosAngle=-90,PointSymbol=*,fillstyle=solid,fillcolor=blue!20]{B}{A}{C'}
+\pstSquareAB[linecolor=red!60,PosAngle={90,90},PointSymbol=*]{A}{B}{C}{D}
+\pstSquareAB[linecolor=blue!60,PosAngle={-90,-90},PointSymbol=*,fillstyle=solid,fillcolor=blue!20,opacity=0.2]{B}{A}{C'}{D'}
+\end{pspicture}
+\end{LTXexample}
+
+\begin{LTXexample}[width=6cm,pos=l]
+\begin{pspicture}[showgrid](-3,-3)(3,3)
+\psset{unit=0.40cm}\footnotesize\psset{PointSymbol=none,PointNameSep=0.22cm}
+\pstGeonode[PosAngle={180,0},PointSymbol=*](0,0){O}(5,0){A}
+\pstRegularPolygonOA[CurveType=polygon,linecolor=red!60,PointSymbol=*,PosAngle={120,240}]{O}{A}{3}{C,D}
+\pstRegularPolygonOA[CurveType=polygon,linecolor=green!60,PointSymbol=*,PosAngle={-90,0,90}]{O}{A}{4}{C,D,E}
+\pstRegularPolygonOA[CurveType=polygon,linecolor=blue!60,PointSymbol=*,PosAngle={65,110,135,180,225,250,305},PointName={A_1,A_2,A_3,A_4,A_5,A_6,A_7}]{O}{A}{8}{A1,A2,A3,A4,A5,A6,A7}
+\pstRegularPolygonOA[CurveType=polygon,linecolor=cyan!60,PointSymbol=*,PosAngle={20,15,60,75,110,130,150,180,200,220,240,260,290,310,330,350},PointName={A_1,A_2,A_3,A_4,A_5,A_6,A_7,A_8,A_9,A_{10},A_{11},A_{12},A_{13},A_{14},A_{15},A_{16}}]{O}{A}{17}{A1,A2,A3,A4,A5,A6,A7,A8,A9,A10,A11,A12,A13,A14,A15,A16}
+\end{pspicture}
+\end{LTXexample}
+
+\begin{LTXexample}[width=6cm,pos=l]
+\begin{pspicture}[showgrid](-3,-4)(3,4)
+\psset{unit=0.40cm}\footnotesize\psset{PointSymbol=none,PointNameSep=0.22cm}
+\pstGeonode[PosAngle={180,0},PointSymbol=*](0,0){A}(2,0){B}
+\pstRegularPolygonAB[CurveType=polygon,linecolor=red!60,PointSymbol=*,PosAngle={90,90,90}]{A}{B}{3}{C,D,E}
+\pstRegularPolygonAB[CurveType=polygon,linecolor=red!60,PointSymbol=*,PosAngle={90,90}]{A}{B}{4}{C,D,E}
+\pstRegularPolygonAB[CurveType=polygon,linecolor=red!60,PointSymbol=*,PosAngle={-10,40,80,115,150,200}]{A}{B}{8}{C,D,E}
+\pstRegularPolygonAB[CurveType=polygon,linecolor=red!60,PointSymbol=*,PosAngle={290,310,330,350,10,30,45,65,85,115,135,155,170,190,210},PointName={B_2,B_3,B_4,B_5,B_6,B_7,B_8,B_9,B_{10},B_{11},B_{12},B_{13},B_{14},B_{15},B_{16}}]{A}{B}{17}{B2}
+\psset{CodeFig=true,CodeFigColor=gray,CodeFigStyle=solid}
+\pstRegularPolygonAB[CurveType=polygon,linecolor=blue!60,PointSymbol=*,PosAngle={-90,-90}]{B}{A}{3}{C,D,E}
+\pstRegularPolygonAB[CurveType=polygon,linecolor=blue!60,PointSymbol=*,PosAngle={-90,-90}]{B}{A}{4}{C,D,E}
+\pstRegularPolygonAB[CurveType=polygon,linecolor=blue!60,PointSymbol=*,PosAngle={140,190,240,-60,-40,10},PointName={A_2,A_3,A_4,A_5,A_6,A_7}]{B}{A}{8}{A2,A3,A4,A5,A6,A7}
+\pstRegularPolygonAB[CurveType=polygon,linecolor=blue!60,PointSymbol=*,PosAngle={140,160,180,200,220,240,260,280,300,320,340,360,20,40,60},PointName={A_2,A_3,A_4,A_5,A_6,A_7,A_8,A_9,A_{10},A_{11},A_{12},A_{13},A_{14},A_{15},A_{16}}]{B}{A}{17}{A2,A3,A4,A5,A6,A7,A8,A9,A10,A11,A12,A13,A14,A15,A16}
+\end{pspicture}
+\end{LTXexample}
+
 \subsection{Generic curve}
 
 It is possible to generate a set of points using a loop, and to give
diff --git a/Master/texmf-dist/tex/generic/pst-eucl/pst-eucl.tex b/Master/texmf-dist/tex/generic/pst-eucl/pst-eucl.tex
index 8abea6715b0..cfc56a70d88 100644
--- a/Master/texmf-dist/tex/generic/pst-eucl/pst-eucl.tex
+++ b/Master/texmf-dist/tex/generic/pst-eucl/pst-eucl.tex
@@ -20,8 +20,8 @@
 \csname PSTEuclideLoaded\endcsname
 \let\PSTEuclideLoaded\endinput
 %
-\def\fileversion{1.73}
-\def\filedate{2020/06/17}
+\def\fileversion{1.74}
+\def\filedate{2020/07/15}
 %%
 \message{`PST-Euclide v\fileversion, \filedate\space (dr,hv)}%
 %% prologue for postcript
@@ -738,9 +738,7 @@
     \fi\fi\fi%
     \Pst@ManageParamList{#6}%
     \Pst@ManageParamList{#7}%
-    \pstLineAB{#2}{#6}%
-    \pstLineAB{#2}{#7}%
-    \pstLineAB{#6}{#7}%
+    \pstPolygon(#2)(#6)(#7)%
   \endgroup%
 }%
 %
@@ -854,9 +852,7 @@
     \fi\fi\fi%
     \Pst@ManageParamList{#6}%
     \Pst@ManageParamList{#7}%
-    \pstLineAB{#2}{#6}%
-    \pstLineAB{#2}{#7}%
-    \pstLineAB{#6}{#7}%
+    \pstPolygon(#2)(#6)(#7)%
   \endgroup%
 }%
 %
@@ -965,9 +961,7 @@
     \fi\fi\fi%
     \Pst@ManageParamList{#6}%
     \Pst@ManageParamList{#7}%
-    \pstLineAB{#2}{#6}%
-    \pstLineAB{#2}{#7}%
-    \pstLineAB{#6}{#7}%
+    \pstPolygon(#2)(#6)(#7)%
   \endgroup%
 }%
 %
@@ -1074,9 +1068,7 @@
     \fi\fi\fi%
     \Pst@ManageParamList{#6}%
     \Pst@ManageParamList{#7}%
-    \pstLineAB{#2}{#6}%
-    \pstLineAB{#2}{#7}%
-    \pstLineAB{#6}{#7}%
+    \pstPolygon(#2)(#6)(#7)%
   \endgroup%
 }%
 %
@@ -2304,7 +2296,7 @@
     \pstBissectBAC[PointName=none,PointSymbol=none,linestyle=none]{\pst@triangle@node@B}{\pst@triangle@node@A}{\pst@triangle@node@C}{@PST@TRIANGLE@EC_BC}
     \pstOutBissectBAC[PointName=none,PointSymbol=none,linestyle=none]{\pst@triangle@node@C}{\pst@triangle@node@B}{\pst@triangle@node@A}{@PST@TRIANGLE@EC_CA}
     \pstInterLL[PointName=none,PointSymbol=none]{\pst@triangle@node@A}{@PST@TRIANGLE@EC_BC}{\pst@triangle@node@B}{@PST@TRIANGLE@EC_CA}{\pst@triangle@node@E}
-    \pstProjection[PointName=none,PointSymbol=none]{B}{C}{\pst@triangle@node@E}[#1]
+    \pstProjection[PointName=none,PointSymbol=none]{\pst@triangle@node@B}{\pst@triangle@node@C}{\pst@triangle@node@E}[#1]
     \Pst@ManageParamList{\pst@triangle@node@E}%
     \Pst@ManageParamList{#1}%
   \endgroup
@@ -2313,7 +2305,7 @@
     \pstBissectBAC[PointName=none,PointSymbol=none,linestyle=none]{\pst@triangle@node@B}{\pst@triangle@node@A}{\pst@triangle@node@C}{@PST@TRIANGLE@EC_BC}
     \pstOutBissectBAC[PointName=none,PointSymbol=none,linestyle=none]{\pst@triangle@node@C}{\pst@triangle@node@B}{\pst@triangle@node@A}{@PST@TRIANGLE@EC_CA}
     \pstInterLL[PointName=none,PointSymbol=none]{\pst@triangle@node@A}{@PST@TRIANGLE@EC_BC}{\pst@triangle@node@B}{@PST@TRIANGLE@EC_CA}{\pst@triangle@node@E}
-    \pstProjection[PointName=none,PointSymbol=none]{B}{C}{\pst@triangle@node@E}[#1]
+    \pstProjection[PointName=none,PointSymbol=none]{\pst@triangle@node@B}{\pst@triangle@node@C}{\pst@triangle@node@E}[#1]
     \Pst@ManageParamList{\pst@triangle@node@E}%
   \endgroup
 }%
@@ -3866,6 +3858,181 @@
   \endgroup%
 }%
 %
+%% \pstCircleABR[Options]{A}{B}{R}{O}
+%% Draw a circle with node A and node B on it, and Radius R, output the center O.
+%% Parameters:
+%% #1 -> options
+%% #2 -> the input node A
+%% #3 -> the input node B
+%% #4 -> the input radius length in screen coordinate 
+%% #5 -> the output center O
+\def\pstCircleABR{\@ifnextchar[\Pst@CircleABR{\Pst@CircleABR[]}}%
+\def\Pst@CircleABR[#1]#2#3#4#5{%
+  \begingroup%
+  \psset{#1}
+  \pst@getcoor{#2}\pst@tempA%
+  \pst@getcoor{#3}\pst@tempB%
+  \pnode(!
+    \pst@tempA \tx@UserCoor /y1 ED /x1 ED
+    \pst@tempB \tx@UserCoor /y2 ED /x2 ED
+    \pstUserDist{#4}\space /R ED
+    x2 x1 sub abs 1E-5 lt { % if x1=x2
+      y2 y1 sub abs 1E-5 lt { % if y1=y2
+        0 0
+      } {
+        y2 y1 add 2 div /y0 ED
+        y2 y1 lt {
+          R dup mul y1 y0 sub dup mul sub sqrt x1 add /x0 ED
+        } {
+          R dup mul y1 y0 sub dup mul sub sqrt neg x1 add /x0 ED
+        } ifelse
+        x0 y0
+      } ifelse
+    } {
+      x2 dup mul x1 dup mul sub y2 dup mul y1 dup mul sub add x2 x1 sub div 2 div /Consta ED
+      y2 y1 sub x2 x1 sub div /Constb ED
+      Constb dup mul 1 add /CoefA ED
+      x1 Consta sub 2 mul Constb mul y1 2 mul sub /CoefB ED
+      x1 Consta sub dup mul y1 dup mul add R dup mul sub /CoefC ED
+      x1 x2 lt {
+        CoefB dup mul CoefA CoefC mul 4 mul sub sqrt CoefB sub CoefA 2 mul div /y0 ED
+      } {
+        CoefB dup mul CoefA CoefC mul 4 mul sub sqrt neg CoefB sub CoefA 2 mul div /y0 ED
+      } ifelse
+      Consta Constb y0 mul sub /x0 ED
+      x0 y0
+    } ifelse
+  ){#5}
+  \Pst@geonodelabel{#5}
+  \pstCircleOA{#5}{#2}
+  \endgroup%
+}%
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Regular Polygons
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% \pstETriangleAB[Options]{A}{B}{C}
+%% Draw an equilateral triangle ABC on given side AB in anti-clockwise.
+%% Parameters:
+%% #1 -> options
+%% #2 -> [input] the node A 
+%% #3 -> [input] the node B
+%% #4 -> [output] the node C
+\def\pstETriangleAB{\@ifnextchar[\Pst@ETriangleAB{\Pst@ETriangleAB[]}}
+\def\Pst@ETriangleAB[#1]#2#3#4{%
+  \begingroup
+    \psset{#1}%
+    \pstRotation[RotAngle=60,PointName=none,PointSymbol=none]{#2}{#3}[#4]
+    \Pst@geonodelabel{#4}
+    \pstPolygon(#2)(#3)(#4)%
+  \endgroup
+}
+%
+%% \pstSquareAB[Options]{A}{B}{C}{D}
+%% Draw a square ABCD on given side AB in anti-clockwise.
+%% Parameters:
+%% #1 -> options
+%% #2 -> [input] the node A 
+%% #3 -> [input] the node B
+%% #4 -> [output] the node C
+%% #5 -> [output] the node D
+\def\pstSquareAB{\@ifnextchar[\Pst@SquareAB{\Pst@SquareAB[]}}
+\def\Pst@SquareAB[#1]#2#3#4#5{%
+  \begingroup
+    \@InitListMng%
+    \psset{#1}%
+    \pstRotation[RotAngle=90,PointName=none,PointSymbol=none]{#2}{#3}[#5]
+    \pstRotation[RotAngle=-90,PointName=none,PointSymbol=none]{#3}{#2}[#4]
+    \Pst@ManageParamList{#4}%
+    \Pst@ManageParamList{#5}%
+    \pstPolygon(#2)(#3)(#4)(#5)%
+  \endgroup
+}
+%
+%% \pstRegularPolygonAB[Options]{A_0}{A_1}{n}{A_2,A_3,A_4,...,A_{n-1}}
+%% Draw a $n$ side regular polygon with given side $A_0A_1$, output the other points.
+%% Parameters:
+%% #1 -> options
+%% #2 -> the input node A_0
+%% #3 -> the input node A_1
+%% #4 -> the input side number n
+%% #5 -> the output points A_2,A_3,A_4,...,A_{n-1}
+\def\pstRegularPolygonAB{\@ifnextchar[\Pst@RegularPolygonAB{\Pst@RegularPolygonAB[]}}%
+\def\Pst@RegularPolygonAB[#1]#2#3#4{%
+  \bgroup%
+  \@InitListMng%
+  \def\@PolyPointA{#2}\def\@PolyPointB{#3}\def\@PointLast{#3}%
+  \pst@cnth=#4\pst@cntg=2 % next point idx (start from 0)
+  \edef\@@GenCourbe{(#2)(#3)}%%for accumulating points
+  \ifPst@CodeFig
+    \pstCircleABR[PointName=O,PosAngle=-90,PointSymbol=*,linecolor=\psk@CodeFigColor,linestyle=\psk@CodeFigStyle]{#2}{#3}{\pstDist{#2}{#3} 2 div 180 #4 div sin div}{PolyCenter}
+  \else  
+    \pstCircleABR[PointName=none,PointSymbol=none,linestyle=none]{#2}{#3}{\pstDist{#2}{#3} 2 div 180 #4 div sin div}{PolyCenter}
+  \fi
+  \psset{#1} % use parameters after calling \pstCircleABR.
+  \Pst@RegularPolygonAB@i%
+}%
+\def\Pst@RegularPolygonAB@i#1{%
+  \@List{#1}\edef\@PointOutLst{\@NewList}
+  \edef\@point{\expandafter\PstParamListFirst\@PointOutLst,undef/}
+  \Pst@RegularPolygonAB@iii%
+}%
+\def\Pst@RegularPolygonAB@iii{%
+  \ifx\@point\@undef\def\@point{\@PolyPointB\the\pst@cntg}\fi
+  \pstCircleChordNode[PointName=none,PointSymbol=none]{PolyCenter}{\@PointLast}{\pstDist{\@PolyPointA}{\@PolyPointB}}{\@point}
+  \xdef\@@GenCourbe{\@@GenCourbe(\@point)}%%for accumulating points
+  %\typeout{\@@GenCourbe}
+  \Pst@ManageParamList{\@point}\xdef\@PointLast{\@point}%
+  \edef\@PointOutLst{\expandafter\PstParamListLasts\@PointOutLst,undef/}%
+  \advance\pst@cntg by 1 
+  \edef\@point{\expandafter\PstParamListFirst\@PointOutLst,undef/}
+  \ifnum\pst@cntg<\pst@cnth%
+    \def\@End{\Pst@RegularPolygonAB@iii}
+  \else
+    \def\@End{\pst@MngTransformCurve\egroup}
+  \fi%
+  \@End%
+}%
+%
+%% \pstRegularPolygonOA[Options]{O}{A_0}{n}{A_1,A_2,A_3,...,A_{n-1}}
+%% Draw a $n$ side regular polygon with given center O and the first node $A_1$, output the other points.
+%% Parameters:
+%% #1 -> options
+%% #2 -> the input center node O
+%% #3 -> the input first node A_0
+%% #4 -> the input side number n
+%% #5 -> the output points A_1,A_2,A_3,...,A_{n-1}
+\def\pstRegularPolygonOA{\@ifnextchar[\Pst@RegularPolygonOA{\Pst@RegularPolygonOA[]}}%
+\def\Pst@RegularPolygonOA[#1]#2#3#4{%
+  \bgroup%
+  \@InitListMng%
+  \psset{#1}\def\@PolyCenter{#2}\def\@PolyPointA{#3}\def\@PointLast{#3}\def\@PolySideNum{#4}%
+  \pst@cnth=#4\pst@cntg=1 % next point idx (start from 0)
+  \edef\@@GenCourbe{(#3)}%%for accumulating points
+  \Pst@RegularPolygonOA@i%
+}%
+\def\Pst@RegularPolygonOA@i#1{%
+  \@List{#1}\edef\@PointOutLst{\@NewList}
+  \edef\@point{\expandafter\PstParamListFirst\@PointOutLst,undef/}
+  \Pst@RegularPolygonOA@iii%
+}%
+\def\Pst@RegularPolygonOA@iii{%
+  \ifx\@point\@undef\def\@point{\@PolyPointA\the\pst@cntg}\fi
+  \pstCircleChordNode[PointName=none,PointSymbol=none]{\@PolyCenter}{\@PointLast}{\pstDist{\@PolyCenter}{\@PolyPointA} 180 \@PolySideNum\space div sin mul 2 mul}{\@point}
+  \xdef\@@GenCourbe{\@@GenCourbe(\@point)}%%for accumulating points
+  %\typeout{\@@GenCourbe}
+  \Pst@ManageParamList{\@point}\xdef\@PointLast{\@point}%
+  \edef\@PointOutLst{\expandafter\PstParamListLasts\@PointOutLst,undef/}%
+  \advance\pst@cntg by 1 
+  \edef\@point{\expandafter\PstParamListFirst\@PointOutLst,undef/}
+  \ifnum\pst@cntg<\pst@cnth%
+    \def\@End{\Pst@RegularPolygonOA@iii}
+  \else
+    \def\@End{\pst@MngTransformCurve\egroup}
+  \fi%
+  \@End%
+}%
+%
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %% Here are some functions to operate the conic curves.
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%