bug 6394 fix + datatips custimization + revision of help pages 26/626/4
Serge Steer [Mon, 17 May 2010 16:13:48 +0000 (18:13 +0200)]
Change-Id: I808e268c1153493733ba1c81474c4def8641f525

13 files changed:
scilab/CHANGES_5.3.X
scilab/modules/cacsd/help/en_US/black.xml
scilab/modules/cacsd/help/en_US/hallchart.xml [new file with mode: 0644]
scilab/modules/cacsd/help/en_US/m_circle.xml
scilab/modules/cacsd/help/en_US/nicholschart.xml [new file with mode: 0644]
scilab/modules/cacsd/help/images/black1.svg [new file with mode: 0644]
scilab/modules/cacsd/help/images/black2.svg [new file with mode: 0644]
scilab/modules/cacsd/help/images/hallchart.svg [new file with mode: 0644]
scilab/modules/cacsd/help/images/nyquist2.svg [new file with mode: 0644]
scilab/modules/cacsd/macros/black.sci
scilab/modules/cacsd/macros/hallchart.sci [new file with mode: 0644]
scilab/modules/cacsd/macros/m_circle.sci
scilab/modules/cacsd/macros/nicholschart.sci [new file with mode: 0644]

index b5dac8f..7b1323f 100644 (file)
@@ -22,8 +22,8 @@ Graphics:
 
 * the set, get and uicontrol functions are now overloadable.
 
-* Datatips tools added, the frequency response plots ("bode", "black", "nyquist",
-  "gainplot",...) supports cutomized datatips.
+* Datatips tools added, the frequency response plots ("bode", "black",
+  "nyquist", "gainplot",...) supports cutomized datatips.
 
 * bug 2651 fixed - "plot2d" was not working when the x argument was not given
                    and some optional arguments were given.
@@ -31,10 +31,11 @@ Graphics:
 * bug 3100 fixed - The "xselect" function has been made obsolete, in accordance
                    with its help page.
 
-* bug 3975 fixed - The "xload" function was not able to load the contents of a previously
-                   saved graphics figure into a different one.
+* bug 3975 fixed - The "xload" function was not able to load the contents of a
+                   previously saved graphics figure into a different one.
 
-* bug 4531 fixed - "legend" macros was not displaying any error when no 'Polyline' exist.
+* bug 4531 fixed - "legend" macros was not displaying any error when no
+                   'Polyline' exist.
 
 * bug 4658 fixed - When some graphic functions were called without any arguments,
                    the error was not explicit enough.
@@ -42,7 +43,14 @@ Graphics:
 * bug 5284 fixed - In some case function "legend" drew line segments in its box
                    in a reverse order.
 
-* bug 6098 fixed - It was not possible get values by clicking on point of Bode diagram
+* bug 6098 fixed - It was not possible get values by clicking on point of
+                   Bode diagram.
+
+* bug 6394 fixed - The "black", "m_circle", "chart" functions has been
+                   improved for a better rendering and datatips
+                   customization. Two new functions created: "hallchart"
+                   (superseed "m_circle") and "nicholschart" (superseed
+                   "chart").
 
 * bug 6532 fixed - In some case text entity rendering order was wrong.
 
@@ -57,7 +65,8 @@ Graphics:
 
 * bug 6848 fixed - The patterns of the lines was poorly exported.
 
-* bug 6958 fixed - The "tics_labels" property from "axes" rejected column vector of labels.
+* bug 6958 fixed - The "tics_labels" property from "axes" rejected column vector
+                   of labels.
 
 * bug 6959 fixed - axis.tics_labels did not accept $..$ LaTeXed labels
 
@@ -353,7 +362,7 @@ Bug fixes:
 
 * bug 1304 fixed - macr2tree now works with a Scilab expression as input.
 
-* bug 1371 fixed - The representation of floating numbers with exponent larger 
+* bug 1371 fixed - The representation of floating numbers with exponent larger
                    than 100 or smaller than -100 was incorrect.
 
 * bug 2076 fixed - pspect did not use the last data window.
index b74f7e8..90acd4b 100644 (file)
@@ -2,11 +2,11 @@
 <!--
  * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
  * Copyright (C) INRIA
- * 
+ *
  * This file must be used under the terms of the CeCILL.
  * This source file is licensed as described in the file COPYING, which
  * you should have received as part of this distribution.  The terms
- * are also available at    
+ * are also available at
  * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
  *
  -->
   <refnamediv>
     <refname>black</refname>
 
-    <refpurpose>Black's diagram (Nichols chart)</refpurpose>
+    <refpurpose>Black-Nichols diagram of a linear dynamical system</refpurpose>
   </refnamediv>
 
   <refsynopsisdiv>
     <title>Calling Sequence</title>
 
-    <synopsis>black( sl,[fmin,fmax] [,step] [,comments] )
-black( sl,frq [,comments] )
-black(frq,db,phi [,comments])
-black(frq,repf [,comments])</synopsis>
+    <synopsis>
+      black( sl,[fmin,fmax] [,step] [,comments] )
+      black( sl,frq [,comments] )
+      black(frq,db,phi [,comments])
+      black(frq,repf [,comments])
+    </synopsis>
   </refsynopsisdiv>
 
   <refsection>
@@ -45,7 +47,8 @@ black(frq,repf [,comments])</synopsis>
         <term>sl</term>
 
         <listitem>
-          <para>list ( linear system <literal>syslin</literal>)</para>
+          <para>a continuous or discrete time SIMO linear dynamical
+          system ( see: <link linkend="syslin">syslin</link>).</para>
         </listitem>
       </varlistentry>
 
@@ -102,17 +105,16 @@ black(frq,repf [,comments])</synopsis>
   <refsection>
     <title>Description</title>
 
-    <para>Black's diagram (Nichols'chart) for a linear system
-    <literal>sl</literal>. <literal>sl</literal> can be a continuous-time or
-    discrete-time SIMO system (see <literal>syslin</literal>). In case of
-    multi-output the outputs are plotted with different symbols.</para>
+    <para>Black's diagram (Nichols'chart) for a linear system ( see: <link linkend="syslin">syslin</link>). <literal>sl</literal> can be a continuous-time or
+    discrete-time SIMO system. In case of
+    multi-output the outputs are plotted with different colors.</para>
 
     <para>The frequencies are given by the bounds
     <literal>fmin</literal>,<literal>fmax</literal> (in Hz) or by a row-vector
     (or a matrix for multi-output) <literal>frq</literal>.</para>
 
     <para><literal>step</literal> is the ( logarithmic ) discretization step.
-    (see <literal>calfrq</literal> for the choice of default value).</para>
+    (see <link linkend="calfrq">calfrq</link> for the choice of default value).</para>
 
     <para><literal>comments</literal> is a vector of character strings
     (captions).</para>
@@ -125,7 +127,7 @@ black(frq,repf [,comments])</synopsis>
 
     <para>To plot the grid of iso-gain and iso-phase of
     <literal>y/(1+y)</literal> use <link
-    linkend="chart">chart()</link>.</para>
+    linkend="nicholschart">nicolschart()</link>.</para>
 
     <para>Default values for <literal>fmin</literal> and
     <literal>fmax</literal> are <literal>1.d-3</literal>,
@@ -137,37 +139,54 @@ black(frq,repf [,comments])</synopsis>
   <refsection>
     <title>Examples</title>
 
-    <programlisting role="example"><![CDATA[ 
-s=poly(0,'s')
-h=syslin('c',(s^2+2*0.9*10*s+100)/(s^2+2*0.3*10.1*s+102.01))
-
-clf();black(h,0.01,100);
-chart(list(1,0));
-
-h1=h*syslin('c',(s^2+2*0.1*15.1*s+228.01)/(s^2+2*0.9*15*s+225))
-clf()
-black([h1;h],0.01,100,['h1';'h'])
-chart(list(1,0)); 
- ]]></programlisting>
+    <programlisting role="exemple"><![CDATA[
+    //Black diagram
+    s=poly(0,'s');
+    sl=syslin('c',5*(1+s)/(.1*s^4+s^3+15*s^2+3*s+1))
+    clf();black(sl,0.01,10);
+    ]]></programlisting>
+    <para>
+      <inlinemediaobject>
+       <imageobject>
+         <imagedata fileref="../images/black1.svg"/>
+       </imageobject>
+      </inlinemediaobject>
+    </para>
+    <programlisting role="example"><![CDATA[
+    //Black diagram with Nichols chart as a grid
+    s=poly(0,'s');
+    Plant=syslin('c',16000/((s+1)*(s+10)*(s+100)));
+    //two degree of freedom PID
+    tau=0.2;xsi=1.2;
+    PID=syslin('c',(1/(2*xsi*tau*s))*(1+2*xsi*tau*s+tau^2*s^2));
+    clf();
+    black([Plant;Plant*PID ],0.01,100,["Plant";"Plant and PID corrector"]);
+    //move the caption in the lower rigth corner
+    ax=gca();Leg=ax.children(1);
+    Leg.legend_location="in_lower_right";
+    nicholschart(colors=color('light gray')*[1 1])
+
+    ]]></programlisting>
+    <para>
+      <inlinemediaobject>
+       <imageobject>
+         <imagedata fileref="../images/black2.svg"/>
+       </imageobject>
+      </inlinemediaobject>
+    </para>
   </refsection>
 
   <refsection>
     <title>See Also</title>
 
     <simplelist type="inline">
+      <member><link linkend="nicholschart">nicholschart</link></member>
       <member><link linkend="bode">bode</link></member>
-
       <member><link linkend="nyquist">nyquist</link></member>
 
-      <member><link linkend="chart">chart</link></member>
-
-      <member><link linkend="freq">freq</link></member>
-
-      <member><link linkend="repfreq">repfreq</link></member>
-
+      <member><link linkend="syslin">syslin</link></member>
       <member><link linkend="calfrq">calfrq</link></member>
-
-      <member><link linkend="phasemag">phasemag</link></member>
+      <member><link linkend="datatips">datatips</link></member>
     </simplelist>
   </refsection>
 </refentry>
diff --git a/scilab/modules/cacsd/help/en_US/hallchart.xml b/scilab/modules/cacsd/help/en_US/hallchart.xml
new file mode 100644 (file)
index 0000000..c147f1e
--- /dev/null
@@ -0,0 +1,129 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<!--
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) INRIA
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution.  The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ -->
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="en" xml:id="hallchart">
+  <info>
+    <pubdate>$LastChangedDate: 2008-06-19 18:44:44 +0200 (jeu, 19 jun 2008) $</pubdate>
+  </info>
+  <refnamediv>
+    <refname>hallchart</refname>
+    <refpurpose>Draws the Hall chart</refpurpose>
+  </refnamediv>
+  <refsynopsisdiv>
+    <title>Calling Sequence</title>
+    <synopsis>hallchart([ modules [,args [,colors]]])</synopsis>
+   <synopsis></synopsis>
+  </refsynopsisdiv>
+  <refsection>
+    <title>Parameters</title>
+    <variablelist>
+      <varlistentry>
+        <term>modules</term>
+        <listitem>
+          <para>real vector ( modules (in dB))</para>
+        </listitem>
+      </varlistentry>
+      <varlistentry>
+        <term>args</term>
+        <listitem>
+          <para>real vector (phases (in degree))</para>
+        </listitem>
+      </varlistentry>
+      <varlistentry>
+        <term>colors</term>
+        <listitem>
+          <para>a scalar or a vector, the color indices for isogain and iso phase curves</para>
+        </listitem>
+      </varlistentry>
+    </variablelist>
+  </refsection>
+  <refsection>
+    <title>Description</title>
+    <para> plot the Hall'chart: iso-module and iso-argument contours of
+    <literal>y/(1+y)</literal> in the <literal>real(y)</literal>, <literal>imag(y)</literal> plane</para>
+    <para><literal>hallchart</literal> may be used in cunjunction with
+    <link linkend="nyquist">nyquist</link>. </para>
+    <para>The default values for <literal>modules</literal> and
+    <literal>args</literal> are respectively :</para>
+    <para>
+      <literal>[-20 -10 -6 -4 -2 2 4 6 10 20]</literal>
+    </para>
+    <para><literal>[-90 -60 -45 -30 -15 15 30 45 60 90]</literal></para>
+    <para>This function superseeds the <link linkend="m_circle">m_circle</link> function</para>
+
+  </refsection>
+  <refsection>
+    <title>Graphics entities organization</title>
+    <para>The <literal>hallchart</literal> function create a single
+    compound object which is generaly the last child of the current
+    axes. This compound object contains a set of compound objects, one
+    for each grid curve. The first ones are the iso module curves and
+    the last one the iso-argument contours. Each of these compound
+    objects contains a Polyline object (the curve) and a Text object
+    (the label). The following piece of code can be used to change the color of the ith iso module curve:
+    </para>
+    <programlisting role="customizing"><![CDATA[
+    clf();hallchart()
+    ax=gca();//handle on current axes
+    c=ax.children($).children;// the handles on the chart grid curves
+    i=4; //the index of the -4dB curve
+    ci=c(i); //the handle on the -4dB curve
+    ci.children(1).foreground=color('red'); //draw it in red
+
+    j=3; // the index of the -45° curve
+    cj=c(10+j); //the handle on the -45° curve
+    cj.children(1).thickness=3;//draw it thicker
+     ]]></programlisting>
+  </refsection>
+  <refsection>
+    <title>Examples</title>
+    <programlisting role="example"><![CDATA[
+    //Hall chart
+    clf();hallchart()
+    ]]></programlisting>
+   <para>
+      <inlinemediaobject>
+       <imageobject>
+         <imagedata fileref="../images/hallchart.svg"/>
+       </imageobject>
+      </inlinemediaobject>
+    </para>
+    <programlisting role="example"><![CDATA[
+    //Hall chart as a grid for nyquist
+    s=poly(0,'s');
+    Plant=syslin('c',16000/((s+1)*(s+10)*(s+100)));
+    //two degree of freedom PID
+    tau=0.2;xsi=1.2;
+    PID=syslin('c',(1/(2*xsi*tau*s))*(1+2*xsi*tau*s+tau^2*s^2));
+    clf();
+    nyquist([Plant;Plant*PID],0.5,100,["Plant";"Plant and PID corrector"]);
+    hallchart(colors=color('light gray')*[1 1])
+    //move the caption in the lower rigth corner
+    ax=gca();Leg=ax.children(1);
+    Leg.legend_location="in_lower_right";
+    ]]></programlisting>
+   <para>
+      <inlinemediaobject>
+       <imageobject>
+         <imagedata fileref="../images/nyquist2.svg"/>
+       </imageobject>
+      </inlinemediaobject>
+    </para>
+  </refsection>
+  <refsection>
+    <title>See Also</title>
+    <simplelist type="inline">
+      <member><link linkend="nyquist">nyquist</link></member>
+      <member><link linkend="nicholschart">nicholschart</link></member>
+    </simplelist>
+  </refsection>
+</refentry>
index 8a86d2a..fd9cd7e 100644 (file)
@@ -2,11 +2,11 @@
 <!--
  * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
  * Copyright (C) INRIA - Serge Steer
- * 
+ *
  * This file must be used under the terms of the CeCILL.
  * This source file is licensed as described in the file COPYING, which
  * you should have received as part of this distribution.  The terms
- * are also available at    
+ * are also available at
  * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
  *
  -->
@@ -16,7 +16,7 @@
   </info>
   <refnamediv>
     <refname>m_circle</refname>
-    <refpurpose> plots the complex plane iso-gain contours of y/(1+y) </refpurpose>
+    <refpurpose> plots the complex plane iso-gain contours of y/(1+y) (obsolete) </refpurpose>
   </refnamediv>
   <refsynopsisdiv>
     <title>Calling Sequence</title>
@@ -52,10 +52,11 @@ m_circle(gain)</synopsis>
     <literal>[-12 -8 -6 -5 -4 -3 -2 -1.4 -1 -.5 0.25 0.5 0.7 1 1.4 2 2.3 3 4 5 6 8 12]</literal>
     </para>
     <para><literal>m_circle</literal> is used with <literal>nyquist</literal>.</para>
+   <para>This function is superseeded by the <link linkend="hallchart">hallchart</link> function.</para>
   </refsection>
   <refsection>
     <title>Examples</title>
-    <programlisting role="example"><![CDATA[ 
+    <programlisting role="example"><![CDATA[
 //Example 1 :
 s=poly(0,'s')
 h=syslin('c',(s^2+2*0.9*10*s+100)/(s^2+2*0.3*10.1*s+102.01))
diff --git a/scilab/modules/cacsd/help/en_US/nicholschart.xml b/scilab/modules/cacsd/help/en_US/nicholschart.xml
new file mode 100644 (file)
index 0000000..bd4c359
--- /dev/null
@@ -0,0 +1,112 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<!--
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) INRIA
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution.  The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ -->
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="en" xml:id="nicholschart">
+  <info>
+    <pubdate>$LastChangedDate: 2008-06-19 18:44:44 +0200 (jeu, 19 jun 2008) $</pubdate>
+  </info>
+  <refnamediv>
+    <refname>nicholschart</refname>
+    <refpurpose> Nichols chart</refpurpose>
+  </refnamediv>
+  <refsynopsisdiv>
+    <title>Calling Sequence</title>
+    <synopsis>nicholschart([ modules [,args [,colors]]])</synopsis>
+   <synopsis></synopsis>
+  </refsynopsisdiv>
+  <refsection>
+    <title>Parameters</title>
+    <variablelist>
+      <varlistentry>
+        <term>modules</term>
+        <listitem>
+          <para>real vector ( modules (in dB))</para>
+        </listitem>
+      </varlistentry>
+      <varlistentry>
+        <term>args</term>
+        <listitem>
+          <para>real vector (phases (in degree))</para>
+        </listitem>
+      </varlistentry>
+      <varlistentry>
+        <term>colorss</term>
+        <listitem>
+          <para>a scalar or a vector, the color indices for isogain and iso phase curves</para>
+        </listitem>
+      </varlistentry>
+    </variablelist>
+  </refsection>
+  <refsection>
+    <title>Description</title>
+    <para> plot the Nichols'chart: iso-module and iso-argument  contours of
+    <literal>y/(1+y)</literal> in <literal>y</literal> phase/gain plane</para>
+    <para><literal>nicholschart</literal> may be used in cunjunction with
+    <link linkend="black">black</link>. </para>
+    <para>The default values for <literal>modules</literal> and
+    <literal>args</literal> are respectively :</para>
+    <para>
+      <literal>[-12 -8 -6 -5 -4 -3 -2 -1.4 -1 -.5 0.25 0.5 0.7 1 1.4 2 2.3 3 4 5 6 8 12]</literal>
+    </para>
+    <para><literal>[-(1:10) , -(20:10:160)]</literal></para>
+  </refsection>
+  <refsection>
+    <title>Examples</title>
+    <programlisting role="example"><![CDATA[
+    //Nichols chart
+    clf()
+    nicholschart(modules=[-6 -3 -1 1 3 6], args=[-1 -20 20 40 80 160 180]);
+    ]]></programlisting>
+    <para>
+      <inlinemediaobject>
+       <imageobject>
+         <imagedata fileref="../images/nicholschart.svg"/>
+       </imageobject>
+      </inlinemediaobject>
+    </para>
+   <programlisting role="example"><![CDATA[
+    //Black diagram with Nichols chart as a grid
+    s=poly(0,'s');
+    Plant=syslin('c',16000/((s+1)*(s+10)*(s+100)));
+    //two degree of freedom PID
+    tau=0.2;xsi=1.2;
+    PID=syslin('c',(1/(2*xsi*tau*s))*(1+2*xsi*tau*s+tau^2*s^2));
+    clf();
+    black([Plant;Plant*PID ],0.01,100,["Plant";"Plant and PID corrector"]);
+    //move the caption in the lower rigth corner
+    ax=gca();Leg=ax.children(1);
+    Leg.legend_location="in_lower_right";
+    nicholschart(colors=color('light gray')*[1 1])
+    ]]></programlisting>
+    <para>
+      <inlinemediaobject>
+       <imageobject>
+         <imagedata fileref="../images/black2.svg"/>
+       </imageobject>
+      </inlinemediaobject>
+    </para>
+  </refsection>
+  <refsection>
+    <title>See Also</title>
+    <simplelist type="inline">
+      <member>
+        <link linkend="black">black</link>
+      </member>
+      <member>
+        <link linkend="nyquist">nyquist</link>
+      </member>
+      <member>
+        <link linkend="hallchart">hallchart</link>
+      </member>
+    </simplelist>
+  </refsection>
+</refentry>
diff --git a/scilab/modules/cacsd/help/images/black1.svg b/scilab/modules/cacsd/help/images/black1.svg
new file mode 100644 (file)
index 0000000..0060547
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diff --git a/scilab/modules/cacsd/help/images/hallchart.svg b/scilab/modules/cacsd/help/images/hallchart.svg
new file mode 100644 (file)
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+<text fill="#000000" style="stroke:none" x="274" y="49" transform="rotate(0, 274, 49)" font-size="10" font-family="SansSerif" font-style="normal" font-weight="normal">Nyquist plot</text>
+<text fill="#000000" style="stroke:none" x="278" y="436" transform="rotate(0, 278, 436)" font-size="10" font-family="SansSerif" font-style="normal" font-weight="normal">Re(h(2i&#x03c0;f))</text>
+<text fill="#000000" style="stroke:none" x="49" y="258" transform="rotate(270, 49, 258)" font-size="10" font-family="SansSerif" font-style="normal" font-weight="normal">Im(h(2i&#x03c0;f))</text>
+</g>
+</svg>
index a8d1ea3..51e752c 100644 (file)
@@ -1,10 +1,10 @@
 // Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
-// Copyright (C) INRIA - Serge Steer
+// Copyright (C) 1998-2010 - INRIA - Serge Steer
 // Copyright (C) 2010 - DIGITEO - Yann COLLETTE
 // This file must be used under the terms of the CeCILL.
 // This source file is licensed as described in the file COPYING, which
 // you should have received as part of this distribution.  The terms
-// are also available at    
+// are also available at
 // http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
 
 
@@ -16,10 +16,10 @@ function black(varargin)
 //           black( sl,fmin,fmax [,pas] [,comments] )
 //           black(frq,db,phi [,comments])
 //           black(frq, repf  [,comments])
-//  
+//
 //  sl       : SIMO linear system (see syslin). In case of multi-output
 //             system the outputs are plotted with differents symbols.
-//            
+//
 //  fmin     : minimal frequency (in Hz).
 //  fmax     : maximal frequency (in Hz).
 //  pas      : logarithmic discretization step. (see calfrq for the
@@ -34,18 +34,16 @@ function black(varargin)
 
 //To plot the grid of iso-gain and iso-phase of y/(1+y) use abaque()
 //%Example
-//  s=poly(0,'s')
-//  h=syslin('c',(s**2+2*0.9*10*s+100)/(s**2+2*0.3*10.1*s+102.01))
+//  s=poly(0,'s")
+//  h=syslin("c",(s**2+2*0.9*10*s+100)/(s**2+2*0.3*10.1*s+102.01))
 //  abaque();
-//  black(h,0.01,100,'(s**2+2*0.9*10*s+100)/(s**2+2*0.3*10.1*s+102.01)')
+//  black(h,0.01,100,"(s**2+2*0.9*10*s+100)/(s**2+2*0.3*10.1*s+102.01)")
 //  //
-//  h1=h*syslin('c',(s**2+2*0.1*15.1*s+228.01)/(s**2+2*0.9*15*s+225))
-//  black([h1;h],0.01,100,['h1';'h'])
+//  h1=h*syslin("c",(s**2+2*0.1*15.1*s+228.01)/(s**2+2*0.9*15*s+225))
+//  black([h1;h],0.01,100,["h1";"h"])
 //See also:
-//  bode nyquist  abaque freq repfreq 
+//  bode nyquist  abaque freq repfreq
 //!
-
-
   rhs=size(varargin)
   if type(varargin($))==10 then
     comments=varargin($),rhs=rhs-1;
@@ -54,15 +52,15 @@ function black(varargin)
   end
   fname="black";//for error messages
   fmax=[]
-  if or(typeof(varargin(1))==['state-space' 'rational']) then 
+  if or(typeof(varargin(1))==["state-space" "rational"]) then
     //sys,fmin,fmax [,pas] or sys,frq
     refdim=1 //for error message
     if rhs==1 then
       [frq,repf]=repfreq(varargin(1),1d-3,1d3)
     elseif rhs==2 then //sys,frq
       if size(varargin(2),2)<2 then
-       error(msprintf(_("%s: Wrong size for input argument #%d: A row vector with length>%d expected.\n"),..
-                      fname,2,1))
+        error(msprintf(_("%s: Wrong size for input argument #%d: A row vector with length>%d expected.\n"),..
+                       fname,2,1))
       end
       [frq,repf]=repfreq(varargin(1:rhs))
     elseif or(rhs==(3:4)) then //sys,fmin,fmax [,pas]
@@ -72,48 +70,48 @@ function black(varargin)
     end
     [phi,d]=phasemag(repf)
     if rhs>=3 then fmax=varargin(3),end
-  elseif  type(varargin(1))==1 then 
+  elseif  type(varargin(1))==1 then
     //frq,db,phi [,comments] or frq, repf [,comments]
     refdim=2
     select rhs
     case 2 then //frq,repf
       frq=varargin(1);
       if size(frq,2)<2 then
-       error(msprintf(_("%s: Wrong size for input argument #%d: A row vector with length>%d expected.\n"),..
-                      fname,1,1))
+        error(msprintf(_("%s: Wrong size for input argument #%d: A row vector with length>%d expected.\n"),..
+                       fname,1,1))
       end
       if size(frq,2)<>size(varargin(2),2) then
-       error(msprintf(_("%s: Incompatible input arguments #%d and #%d: Same column dimensions expected.\n"),..
-                        fname,1,2))
+        error(msprintf(_("%s: Incompatible input arguments #%d and #%d: Same column dimensions expected.\n"),..
+                       fname,1,2))
       end
       [phi,d]=phasemag(varargin(2))
     case 3 then  //frq,db,phi
       [frq,d,phi]=varargin(1:rhs)
       if size(frq,2)<>size(d,2) then
-       error(msprintf(_("%s: Incompatible input arguments #%d and #%d: Same column dimensions expected.\n"),..
-                        fname,1,2))
+        error(msprintf(_("%s: Incompatible input arguments #%d and #%d: Same column dimensions expected.\n"),..
+                       fname,1,2))
       end
       if size(frq,2)<>size(phi,2) then
-       error(msprintf(_("%s: Incompatible input arguments #%d and #%d: Same column dimensions expected.\n"),..
-                        fname,1,3))
+        error(msprintf(_("%s: Incompatible input arguments #%d and #%d: Same column dimensions expected.\n"),..
+                       fname,1,3))
       end
-    else 
-       error(msprintf(_("%s: Wrong number of input arguments: %d to %d expected.\n"),fname,2,4))
+    else
+      error(msprintf(_("%s: Wrong number of input arguments: %d to %d expected.\n"),fname,2,4))
     end
   else
     error(msprintf(_("%s: Wrong type for input argument #%d: Linear dynamical system or row vector of floats expected.\n"),fname,1))
   end;
-  
+
   if size(frq,1)==1 then
     ilf=0
   else
     ilf=1
   end
+
   [mn,n]=size(phi);
-  if and(size(comments,'*')<>[0 mn]) then
-     error(msprintf(_("%s: Incompatible input arguments #%d and #%d: Same number of elements expected.\n"),...
-                    fname,refdim,rhs+1))
+  if and(size(comments,"*")<>[0 mn]) then
+    error(msprintf(_("%s: Incompatible input arguments #%d and #%d: Same number of elements expected.\n"),...
+                   fname,refdim,rhs+1))
   end
 
   //
@@ -129,63 +127,77 @@ function black(varargin)
   kk=1;p0=[phi(:,kk) d(:,kk)];ks=1;dst=0;
   dx=max(%eps,xmx-xmn);
   dy=max(%eps,ymx-ymn);
-  dx2=max(%eps,dx^2);dy2=max(%eps,dy^2);
+  dx2=dx^2;dy2=dy^2
 
   while kk<n
     kk=kk+1
     dst=dst+min(sqrt(((phi(:,kk-1)-phi(:,kk))^2)/dx2+((d(:,kk-1)-d(:,kk))^2)/dy2))
-    if dst>0.1 then
+    if dst>0.2 then
       if mini(abs(frq(:,ks(prod(size(ks))))-frq(:,kk))./frq(:,kk))>0.2 then
-       ks=[ks kk]
-       dst=0
+        ks=[ks kk]
+        dst=0
       end
     end
   end
   kf=1
   drawlater()
   ax=gca();
-  if size(ax.children,'*')==0 then
+  if size(ax.children,"*")==0 then
     ax.data_bounds=[xmn ymn;xmx ymx];
+    ax.x_label.text=_("Phase (deg)");
+    ax.y_label.text=_("Magnitude (dB)")
   else
     ax.data_bounds=[min([xmn ymn],ax.data_bounds(1,:));
-                   max([xmx ymx],ax.data_bounds(2,:))];
+                    max([xmx ymx],ax.data_bounds(2,:))];
   end
-  ax.axes_visible='on';
+  ax.axes_visible="on";
   ax.clip_state="clipgrf";
+  r=xstringl(0,0,"m");r=r(3)
   E=[]
-  if ks($)<size(phi,2) then last=$;else        last=$-1;end
+  if ks($)<size(phi,2) then last=$;else    last=$-1;end
   for k=1:mn
-    xpoly(phi(k,:),d(k,:));e1=gce()
-    e1.foreground=k;
     e2=[]
-    if size(ks,'*') >1 then
+    if size(ks,"*") >1 then
       d_phi=phi(k,ks(1:last)+1)-phi(k,ks(1:last));
       d_d=d(k,ks(1:last)+1)-d(k,ks(1:last));
-      dd=150*sqrt((d_phi/dx).^2+(d_d/dy).^2);
+      dd=400*sqrt((d_phi/dx).^2+(d_d/dy).^2);
       if dd>0 then
         // we should use xarrows or xsegs here.
         // However their displayed arrow size depends
         // on the data bounds and we want to avoid this.
         xpolys([phi(k,ks(1:last));phi(k,ks(1:last))+d_phi./dd],..
-                       [d(k,ks(1:last));d(k,ks(1:last))+d_d./dd]);
-       //xarrows([phi(k,ks(1:last));phi(k,ks(1:last))+d_phi./dd],..
-       //      [d(k,ks(1:last));d(k,ks(1:last))+d_d./dd],1.5)
-       e2=gce();e2.children.foreground=k;
-        e2.children.polyline_style = 4;
-        e2.children.arrow_size_factor = 1.5;
+               [d(k,ks(1:last));d(k,ks(1:last))+d_d./dd]);
+        ea=gce();
+        ea.children.foreground=k;
+        ea.children.polyline_style = 4;
+        ea.children.arrow_size_factor = 1.5;
+
+        //xarrows([phi(k,ks(1:last));phi(k,ks(1:last))+d_phi./dd],..
+        //    [d(k,ks(1:last));d(k,ks(1:last))+d_d./dd],60)
+        //ea=gce();ea.segs_color=k*ones(dd);
+        //add a frequency label near each arrow
+        el=[];
+
+        for l=ks
+          xstring(phi(k,l)+r,d(k,l),msprintf("%-5.2g",frq(kf,l)))
+          e=gce()
+          e.font_foreground=k;
+          el=[e,el]
+        end
+        e2=glue([el ea])
       end
     end
-    //add frequency values
-    ne=size(ax.children,'*')
-    xnumb(phi(k,ks),d(k,ks),frq(kf,ks),0);
-    nn=size(ax.children,'*')-ne
-    if nn>1 then e3=glue(ax.children(nn:-1:1)),else e3=ax.children(1);end
+
+    xpoly(phi(k,:),d(k,:));e1=gce()
+    e1.foreground=k;
+    datatipInitStruct(e1,"formatfunction","formatBlackTip","freq",frq(kf,:))
+
     // glue entities relative to a single black curve
-    E=[E glue([e3 e2 e1])]
+    E=[E glue([e2 e1])]
     kf=kf+ilf
   end
-  xtitle(" ",_("Phase (deg)"),_("Magnitude (Db)"));
+
+
   //  2.3 db curve
   mbf=2.3;
   lmda=exp(log(10)/20*mbf);
@@ -196,8 +208,20 @@ function black(varargin)
   xpoly([180*(imag(lgmt)/%pi-ones(lgmt))],[(20/log(10)*real(lgmt))])
   e=gce();e.foreground=2;e.line_style=3;
   if comments<>[] then
-    c=[];for k=1:mn,c=[c E(k).children(1)];end
-    legend([c e]',[comments(:);'2.3Db'])
+    c=[];for k=1:mn,c=[E(k).children(1),c];end
+    legend([c e]',["2.3"+_("dB");comments(:)])
   end
   drawnow()
 endfunction
+function str=formatBlackTip(curve,pt,index)
+//This function is called by the datatip mechanism to format the tip
+//string for black curves.
+  ud=datatipGetStruct(curve);
+  if index<>[] then
+    f=ud.freq(index)
+  else //interpolated
+    [d,ptp,i,c]=orthProj(curve.data,pt)
+    f=ud.freq(i)+(ud.freq(i+1)-ud.freq(i))*c
+  end
+  str=msprintf("%.4g"+_("°")+"\n%.4g"+_("dB")+"\n%.4g"+_("Hz"), pt,f);
+endfunction
diff --git a/scilab/modules/cacsd/macros/hallchart.sci b/scilab/modules/cacsd/macros/hallchart.sci
new file mode 100644 (file)
index 0000000..3c0e419
--- /dev/null
@@ -0,0 +1,135 @@
+// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+// Copyright (C) 2010 - INRIA - Serge STEER
+// This file must be used under the terms of the CeCILL.
+// This source file is licensed as described in the file COPYING, which
+// you should have received as part of this distribution.  The terms
+// are also available at
+// http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+
+function hallchart(modules,args,colors)
+  defaultmodules=[-20 -10 -6 -4 -2 2 4 6 10 20];//in dB
+  defaultargs=[-90 -60 -45 -30 -15 15 30 45 60 90]; //in degree
+  defaultbounds=[-3.5 -2;3 2];
+  if exists("modules","local")==0 then
+    modules=defaultmodules
+  else
+    if type(modules)|~isreal(modules)<>1 then
+      error(msprintf("%s: Wrong type for imput argument ""%s"": real floating point array expected\n"),"hallchart","modules");
+    end
+    modules=matrix(modules,1,-1)
+  end
+  if exists("args","local")==0 then
+    args=defaultargs
+  else
+    if type(args)<>1|~isreal(args) then
+      error(msprintf("%s: Wrong type for imput argument ""%s"": real floating point array expected\n"),"hallchart","args");
+    end
+    args=matrix(args,1,-1)
+  end
+
+  if exists("colors","local")==0 then
+    colors=[4 12];
+  else
+    if type(colors)<>1|~isreal(colors) then
+      error(msprintf("%s: Wrong type for imput argument ""%s"": real floating point array expected\n"),"hallchart","colors");
+    end
+    if size(colors,"*")==1 then
+      colors=colors*ones(1,2)
+    end
+  end
+
+  drawlater()
+  ax=gca();
+  nc=size(ax.children,"*")
+  if nc==0 then
+    ax.data_bounds=defaultbounds;
+    ax.axes_visible="on";
+    ax.x_label.text=_("Real axis");
+    ax.y_label.text=_("Imaginary axis");
+    ax.title.text=_("Hall chart")
+    ax.box="on";
+  end
+
+  //iso modules circles. Circles whose center are (-M^2/(M^2-1),0) and
+  //radius M/(M^2-1) with M=|H(jw)| and H=G/(1+G)
+
+  M=exp(log(10)*modules/20)
+  radius=M./(M.*M-ones(M))
+  xc=-M.*radius
+  yc=0
+  radius=abs(radius)
+  //arcs replaced by polylines to be able to use datatips
+  //  xarcs([xc-radius;yc+radius;2*radius;2*radius;0*M;360*64*ones(M)])
+  //  A=gce()
+  //  E=unglue(A);
+  w=linspace(0,2*%pi,200)
+  c=cos(w);s=sin(w)
+  chart_handles=[]
+  for i=1:size(M,"*")
+    xpoly(xc(i)+radius(i)*c,yc+radius(i)*s)
+    ec=gce();
+    ec.foreground=colors(1);
+    ec.line_style=7;
+    ec.clip_state="clipgrf";
+    datatipInitStruct(ec,"formatfunction","formatHallModuleTip","module",modules(i))
+    if 2*int(i/2)==i then
+      xs=xc(i)+radius(i)*cos(%pi/6)
+      ys=yc+radius(i)*sin(%pi/6)
+    else
+      xs=xc(i)+radius(i)*cos(-%pi/6)
+      ys=yc+radius(i)*sin(-%pi/6)
+
+    end
+
+    xstring(xs,ys,string(modules(i))+_("dB"));
+    el=gce();
+
+    el.font_foreground=colors(1);
+    el.clip_state="clipgrf";
+    chart_handles=[glue([el ec]) chart_handles];
+  end
+
+  //iso phase circles. Circles whose center are (-1/2, 1/(2*N)) and
+  //radius sqrt(1+N^2)/(2*N) with N=tan(arg(H(-jw)))
+
+  N=tan(args*%pi/180);
+  radius=sqrt(1+N^2)./(2*N);
+  xc=-1/2;
+  yc=1 ./(2*N);
+
+  //  xarcs([xc-radius;yc+radius;2*radius;2*radius;0*N;360*64*ones(N)])
+  //  E=unglue(gce());
+  for i=1:size(N,"*")
+    xpoly(xc+radius(i)*c,yc(i)+radius(i)*s);ec=gce();
+    ec.foreground=colors(2);
+    ec.line_style=7;
+    ec.clip_state="clipgrf";
+    datatipInitStruct(ec,"formatfunction","formatHallPhaseTip","phase",args(i))
+    xstring(xc,yc(i)+radius(i),msprintf("%g"+_("°"),args(i)));
+    el=gce();
+    el.font_foreground=colors(2);
+    el.clip_state="clipgrf";
+    chart_handles=[glue([el ec]) chart_handles];
+  end
+  chart_handles=glue(chart_handles)
+  //reorder axes children to make chart drawn before the previously
+  // drawn curves if any
+  for k=1:nc
+    swap_handles(ax.children(k),ax.children(k+1))
+  end
+
+  drawnow()
+endfunction
+function str=formatHallModuleTip(curve,pt,index)
+//this function is called by the datatip mechanism to format the tip
+//string for the Hall charts iso module curves
+  ud=datatipGetStruct(curve);
+  str=msprintf("%.2g"+_("dB"), ud.module);
+endfunction
+function str=formatHallPhaseTip(curve,pt,index)
+//This function is called by the datatip mechanism to format the tip
+//string for the Hall charts iso phase curves
+  ud=datatipGetStruct(curve);
+  str=msprintf("%.2g"+_("°"), ud.phase);
+endfunction
+
index 64d86a3..c53dbf2 100644 (file)
@@ -3,52 +3,52 @@
 // This file must be used under the terms of the CeCILL.
 // This source file is licensed as described in the file COPYING, which
 // you should have received as part of this distribution.  The terms
-// are also available at    
+// are also available at
 // http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
 
 function []=m_circle(gain)
-// Copyright INRIA
-[lhr,rhs]=argn(0)
-//
-d36=11;
-if rhs<1 then 
- gain=[-12 -8 -6 -5 -4 -3 -2 -1.4 -1 -.5 0.25 0.5 0.7 1 1.4 ..
-                2 2.3 3 4 5 6 8 12]
-else
- gain=matrix(gain,1,prod(size(gain)))
-end
-//
-titre='isogain contours for y/(1+y)'
-l10=log(10);
-//
-lambda=exp(l10*gain/20)
-rayon=lambda./(lambda.*lambda-ones(lambda))
-centre=-lambda.*rayon
-rayon=abs(rayon)
-rect=[mini(centre-rayon),mini(-rayon),maxi(centre+rayon),maxi(rayon)];
-//
-drawlater()
-ax=gca();
-llrect=xstringl(0,0,'1')
-hx=llrect(3);
-//
-for i=1:prod(size(gain))
-  sgn=1;if 2*int(i/2)==i then sgn=-1,end
-  g=string(gain(i)),ng=length(g)
-  if gain(i)<0 then 
-    w=0:0.03:%pi;
-    xx=centre(i)+rayon(i)*sin(%pi/3)+hx
-    xy=sgn*cos(%pi/3)*rayon(i)
-  else 
-    xx=centre(i)-sin(%pi/3)*rayon(i)-hx*ng
-    xy=sgn*cos(-%pi/3)*rayon(i)
-    w=-%pi:0.03:0;
+//this function is obsolete, superseeded by hallchart.
+  [lhr,rhs]=argn(0)
+  //
+  d36=11;
+  if rhs<1 then
+    gain=[-12 -8 -6 -5 -4 -3 -2 -1.4 -1 -.5 0.25 0.5 0.7 1 1.4 ..
+          2 2.3 3 4 5 6 8 12]
+  else
+    gain=matrix(gain,1,prod(size(gain)))
+  end
+  //
+  titre='isogain contours for y/(1+y)'
+  l10=log(10);
+  //
+  lambda=exp(l10*gain/20)
+  rayon=lambda./(lambda.*lambda-ones(lambda))
+  centre=-lambda.*rayon
+  rayon=abs(rayon)
+  rect=[mini(centre-rayon),mini(-rayon),maxi(centre+rayon),maxi(rayon)];
+  //
+  drawlater()
+  ax=gca();
+  llrect=xstringl(0,0,'1')
+  hx=llrect(3);
+  //
+  for i=1:prod(size(gain))
+    sgn=1;if 2*int(i/2)==i then sgn=-1,end
+    g=string(gain(i)),ng=length(g)
+    if gain(i)<0 then
+      w=0:0.03:%pi;
+      xx=centre(i)+rayon(i)*sin(%pi/3)+hx
+      xy=sgn*cos(%pi/3)*rayon(i)
+    else
+      xx=centre(i)-sin(%pi/3)*rayon(i)-hx*ng
+      xy=sgn*cos(-%pi/3)*rayon(i)
+      w=-%pi:0.03:0;
+    end;
+    n=prod(size(w))
+    rf=centre(i)*ones(w)+rayon(i)*exp(%i*w);
+    xpoly([real(rf) real(rf($:-1:1))],[imag(rf)  -imag(rf($:-1:1))])
+    e=gce();e.foreground=3;e.clip_state='clipgrf'
   end;
-  n=prod(size(w))
-  rf=centre(i)*ones(w)+rayon(i)*exp(%i*w);
-  xpoly([real(rf) real(rf($:-1:1))],[imag(rf)  -imag(rf($:-1:1))])
-  e=gce();e.foreground=3;e.clip_state='clipgrf'
-//  xstring(xx,xy,g)
-drawnow();
-end;
+  drawnow();
+
 endfunction
diff --git a/scilab/modules/cacsd/macros/nicholschart.sci b/scilab/modules/cacsd/macros/nicholschart.sci
new file mode 100644 (file)
index 0000000..4ab1a89
--- /dev/null
@@ -0,0 +1,190 @@
+// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+// Copyright (C) 2010 - INRIA - Serge STEER
+// This file must be used under the terms of the CeCILL.
+// This source file is licensed as described in the file COPYING, which
+// you should have received as part of this distribution.  The terms
+// are also available at
+// http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+
+function nicholschart(modules,args,colors)
+
+  l10=log(10);
+  ratio=%pi/180;
+
+  drawlater()
+  ax=gca();
+  nc=size(ax.children,"*")
+  if nc==0 then
+    ax.data_bounds=[-360,-40;0,40];
+    ax.axes_visible="on";
+    ax.box="on";
+    ax.tight_limits="on"
+    ax.title.text=_("Amplitude and phase contours of y/(1+y)")
+    ax.x_label.text=_("phase(y) (degree)");
+    ax.y_label.text=_("magnitude(y) (dB)");
+  else
+    ax.data_bounds(2,2)=max( ax.data_bounds(2,2),40)
+  end
+  ax.clip_state="clipgrf"
+
+  phi_min=ax.data_bounds(1,1)
+  phi_max=ax.data_bounds(2,1)
+  mod_min=ax.data_bounds(1,2)
+  mod_max=ax.data_bounds(2,2)
+
+  defaultArgs = [1 5 10 20 30 50 90 120 150 180]
+  defaultModules=[mod_min:20:-40 -12 -6  -3   -1 0 0.25 0.5  1  2.3 4  6  12];
+
+
+  if exists("modules","local")==0 then
+    modules=defaultModules
+  else
+    if type(modules)<>1|~isreal(modules) then
+      error(msprintf("%s: Wrong type for imput argument ""%s"": real floating point array expected\n"),"nicholschart","modules");
+    end
+    modules=matrix(modules,1,-1)
+  end
+  if exists("args","local")==0 then
+    args=defaultArgs
+  else
+    if type(args)<>1|~isreal(args) then
+      error(msprintf("%s: Wrong type for imput argument ""%s"": real floating point array expected\n"),"nicholschart","args");
+    end
+    args=matrix(args,1,-1)
+  end
+  //
+  if exists("colors","local")==0 then
+    colors=[4 12];
+  else
+    if type(colors)<>1|~isreal(colors) then
+      error(msprintf("%s: Wrong type for imput argument ""%s"": real floating point array expected\n"),"hallchart","colors");
+    end
+    if size(colors,"*")==1 then
+      colors=colors*ones(1,2)
+    end
+  end
+  // convert args to radian
+  args = -args * ratio;
+
+  //initialize handles array for chart entities
+  chart_handles=[]
+
+  // Replication bounds
+  k1=floor(phi_min/180)
+  k2=ceil(phi_max/180)
+
+  //isogain curves: y as fixed gain and varying phase
+  //-------------------------------------------------
+  if modules<>[] then
+    w=[linspace(-%pi,-0.1,100) linspace(-0.1,0,80) ]
+    nw=size(w,"*")
+    for i = 1:prod(size(modules)),
+      att=modules(i);
+      y=10^(att/20)*exp(%i*w);
+      y(y==1)=[];//remove singular point if any
+      rf=y./(1-y);
+      [module, phi]=dbphi(rf)
+      //use symetry and period to extend the curve on [k1*180 k2*180]
+      p=[];m=[];
+      S=[];cut=[]
+      for k=k1:k2-1
+        if pmodulo(k,2)==0 then
+          p=[p cut k*180-phi($:-1:1)]
+          m=[m cut module($:-1:1)]
+          if att>0 then
+            str=msprintf("%.2gdB",att)
+            r=xstringl(0,0,str)
+            xstring(k*180-phi($)-r(3)/2,module($),str,0,0),
+            e=gce();
+            e.font_foreground=colors(1)
+            S=[e S]
+          elseif att==0 then
+            l=find(module>mod_max-r(4),1)
+            if l<>[] then
+              xstring(k*180-phi(l-1),module(l-1),"0dB",0,0),
+              e=gce();
+              e.font_foreground=colors(1)
+              S=[e S]
+            end
+          end
+        else
+          p=[p cut ((k+1)*180)+phi]
+          m=[m cut module]
+          if att<0 then
+            str=msprintf("%.2gdB",att)
+            r=xstringl(0,0,str)
+            xstring(p($)-r(3),m($),str,0,0),
+            e=gce();
+            e.font_foreground=colors(1)
+            S=[e S]
+          end
+        end
+        cut=%nan
+      end
+      xpoly(p,m)
+      e=gce();
+      e.foreground=colors(1),
+      e.line_style=7;
+      datatipInitStruct(e,"formatfunction","formatNicholsGainTip","gain",att)
+
+      if size(S,"*")>1 then S=glue(S),end
+      chart_handles=[glue([S,e]),chart_handles];
+    end;
+  end
+
+  //isophase curves: y as fixed phase and varying gain
+  //-------------------------------------------------
+
+  if args<>[] then
+
+    eps=10*%eps;
+    for teta=args,
+      if teta < -%pi/2 then
+        last=teta-eps,
+      else
+        last=teta+eps,
+      end;
+      w=[-170*ratio:0.03:last last]
+      n=prod(size(w));
+      module=real(20*log((sin(w)*cos(teta)/sin(teta)-cos(w)))/l10)
+      w=w/ratio
+      //use symetry and period to extend the curve on [k1*180 k2*180]
+      p=[];m=[];
+      for k=k1:k2-1
+        if pmodulo(k,2)==0 then
+          p=[p %nan k*180-w($:-1:1)]
+          m=[m %nan module($:-1:1)]
+        else
+          p=[p %nan ((k+1)*180)+w]
+          m=[m %nan module]
+        end
+      end
+      xpoly(p,m)
+      e=gce();
+      e.foreground=colors(2);
+      e.line_style=7;
+      datatipInitStruct(e,"formatfunction", ...
+                        "formatNicholsPhaseTip","phase",teta*180/%pi)
+      chart_handles=[e chart_handles]
+    end;
+  end
+  chart_handles=glue(chart_handles)
+  //reorder axes children to make chart drawn before the black curves if any
+  for k=1:nc
+    swap_handles(ax.children(k),ax.children(k+1))
+  end
+
+  drawnow() ;
+endfunction
+function str=formatNicholsGainTip(curve,pt,index)
+//This function is called by the datatip mechanism to format the tip
+//string for the Nichols chart iso gain curves.
+  ud=datatipGetStruct(curve);
+  str=msprintf("%.2g"+_("dB"),ud.gain);
+endfunction
+function str=formatNicholsPhaseTip(curve,pt,index)
+//This function is called by the datatip mechanism to format the tip
+//string for the Nichols chart iso phase curves.
+  ud=datatipGetStruct(curve);
+  str=msprintf("%.2g"+_("°"),ud.phase)
+endfunction