From dd8c2a6eeedea22559c9ac5272b37b2690ad6f4d Mon Sep 17 00:00:00 2001
From: Erich Eckner <git@eckner.net>
Date: Mon, 30 Jul 2018 13:50:03 +0200
Subject: romunit.pas: dx hamonisch mitteln

---
 ROM.lps     | 120 +++++++++++++++++++++++++++++-------------------------------
 romunit.pas |  25 ++++++++-----
 2 files changed, 73 insertions(+), 72 deletions(-)

diff --git a/ROM.lps b/ROM.lps
index 1381843..8c82481 100644
--- a/ROM.lps
+++ b/ROM.lps
@@ -7,9 +7,9 @@
       <Unit0>
         <Filename Value="ROM.lpr"/>
         <IsPartOfProject Value="True"/>
-        <TopLine Value="18"/>
-        <CursorPos X="28" Y="29"/>
-        <UsageCount Value="99"/>
+        <TopLine Value="246"/>
+        <CursorPos X="54" Y="258"/>
+        <UsageCount Value="103"/>
         <Loaded Value="True"/>
       </Unit0>
       <Unit1>
@@ -17,10 +17,10 @@
         <IsPartOfProject Value="True"/>
         <IsVisibleTab Value="True"/>
         <EditorIndex Value="1"/>
-        <TopLine Value="834"/>
-        <CursorPos X="14" Y="852"/>
+        <TopLine Value="865"/>
+        <CursorPos X="3" Y="888"/>
         <FoldState Value=" T3iE040528"/>
-        <UsageCount Value="99"/>
+        <UsageCount Value="103"/>
         <Loaded Value="True"/>
       </Unit1>
       <Unit2>
@@ -28,13 +28,14 @@
         <IsPartOfProject Value="True"/>
         <EditorIndex Value="-1"/>
         <CursorPos Y="10"/>
-        <UsageCount Value="98"/>
+        <UsageCount Value="102"/>
       </Unit2>
       <Unit3>
         <Filename Value="../units/matheunit.pas"/>
-        <EditorIndex Value="2"/>
-        <UsageCount Value="12"/>
-        <Loaded Value="True"/>
+        <EditorIndex Value="-1"/>
+        <TopLine Value="50"/>
+        <CursorPos X="30" Y="65"/>
+        <UsageCount Value="13"/>
       </Unit3>
       <Unit4>
         <Filename Value="../Make/tools.pas"/>
@@ -43,132 +44,127 @@
       </Unit4>
       <Unit5>
         <Filename Value="../units/systemunit.pas"/>
-        <EditorIndex Value="3"/>
+        <EditorIndex Value="2"/>
         <CursorPos Y="16"/>
-        <UsageCount Value="11"/>
+        <UsageCount Value="13"/>
         <Loaded Value="True"/>
       </Unit5>
     </Units>
-    <JumpHistory Count="30" HistoryIndex="29">
+    <JumpHistory Count="29" HistoryIndex="28">
       <Position1>
         <Filename Value="romunit.pas"/>
-        <Caret Line="1011" Column="58" TopLine="984"/>
+        <Caret Line="31" Column="14" TopLine="2"/>
       </Position1>
       <Position2>
         <Filename Value="ROM.lpr"/>
-        <Caret Line="13" Column="62"/>
+        <Caret Line="29" Column="60" TopLine="18"/>
       </Position2>
       <Position3>
-        <Filename Value="ROM.lpr"/>
-        <Caret Line="282" Column="20" TopLine="262"/>
+        <Filename Value="romunit.pas"/>
+        <Caret Line="294" Column="12" TopLine="277"/>
       </Position3>
       <Position4>
-        <Filename Value="ROM.lpr"/>
-        <Caret Line="279" Column="16" TopLine="266"/>
+        <Filename Value="romunit.pas"/>
+        <Caret Line="31" Column="14" TopLine="13"/>
       </Position4>
       <Position5>
-        <Filename Value="romunit.pas"/>
-        <Caret Line="30" Column="14" TopLine="23"/>
+        <Filename Value="ROM.lpr"/>
+        <Caret Line="29" Column="28" TopLine="252"/>
       </Position5>
       <Position6>
-        <Filename Value="ROM.lpr"/>
-        <Caret Line="279" Column="16" TopLine="266"/>
+        <Filename Value="romunit.pas"/>
+        <Caret Line="15" Column="30"/>
       </Position6>
       <Position7>
-        <Filename Value="ROM.lpr"/>
-        <Caret Line="17" Column="28"/>
+        <Filename Value="romunit.pas"/>
+        <Caret Line="378" Column="19" TopLine="369"/>
       </Position7>
       <Position8>
-        <Filename Value="ROM.lpr"/>
-        <Caret Line="265" Column="26" TopLine="248"/>
+        <Filename Value="romunit.pas"/>
+        <Caret Line="45" Column="20" TopLine="27"/>
       </Position8>
       <Position9>
         <Filename Value="romunit.pas"/>
-        <Caret Line="25" Column="19" TopLine="7"/>
+        <Caret Line="316" Column="42" TopLine="287"/>
       </Position9>
       <Position10>
-        <Filename Value="ROM.lpr"/>
-        <Caret Line="295" Column="9" TopLine="274"/>
+        <Filename Value="romunit.pas"/>
+        <Caret Line="378" Column="28" TopLine="350"/>
       </Position10>
       <Position11>
         <Filename Value="romunit.pas"/>
-        <Caret Line="32" Column="19" TopLine="14"/>
+        <Caret Line="964" Column="21" TopLine="953"/>
       </Position11>
       <Position12>
-        <Filename Value="ROM.lpr"/>
-        <Caret Line="295" Column="9" TopLine="268"/>
+        <Filename Value="romunit.pas"/>
+        <Caret Line="966" Column="30" TopLine="953"/>
       </Position12>
       <Position13>
         <Filename Value="romunit.pas"/>
-        <Caret Line="30" Column="14" TopLine="12"/>
+        <Caret Line="1045" Column="48" TopLine="988"/>
       </Position13>
       <Position14>
-        <Filename Value="ROM.lpr"/>
-        <Caret Line="335" Column="46" TopLine="302"/>
+        <Filename Value="romunit.pas"/>
       </Position14>
       <Position15>
-        <Filename Value="ROM.lpr"/>
-        <Caret Line="17" Column="21"/>
+        <Filename Value="romunit.pas"/>
+        <Caret Line="45" Column="20" TopLine="31"/>
       </Position15>
       <Position16>
-        <Filename Value="ROM.lpr"/>
-        <Caret Line="268" Column="64" TopLine="239"/>
+        <Filename Value="romunit.pas"/>
+        <Caret Line="316" Column="42" TopLine="329"/>
       </Position16>
       <Position17>
         <Filename Value="ROM.lpr"/>
-        <Caret Line="334" Column="51" TopLine="302"/>
+        <Caret Line="183" Column="98" TopLine="168"/>
       </Position17>
       <Position18>
         <Filename Value="ROM.lpr"/>
-        <Caret Line="17" Column="58"/>
       </Position18>
       <Position19>
         <Filename Value="ROM.lpr"/>
-        <Caret Line="276" Column="5" TopLine="258"/>
+        <Caret Line="18" Column="9"/>
       </Position19>
       <Position20>
-        <Filename Value="romunit.pas"/>
-        <Caret Line="30" Column="14" TopLine="12"/>
+        <Filename Value="ROM.lpr"/>
+        <Caret Line="26" Column="19"/>
       </Position20>
       <Position21>
-        <Filename Value="romunit.pas"/>
-        <Caret Line="737" Column="66" TopLine="708"/>
+        <Filename Value="ROM.lpr"/>
+        <Caret Line="33" Column="9" TopLine="4"/>
       </Position21>
       <Position22>
         <Filename Value="ROM.lpr"/>
-        <Caret Line="312" Column="7" TopLine="294"/>
+        <Caret Line="93" Column="13" TopLine="64"/>
       </Position22>
       <Position23>
-        <Filename Value="romunit.pas"/>
-        <Caret Line="13" Column="22"/>
+        <Filename Value="ROM.lpr"/>
+        <Caret Line="256" Column="21" TopLine="234"/>
       </Position23>
       <Position24>
         <Filename Value="romunit.pas"/>
-        <Caret Line="14" Column="22"/>
+        <Caret Line="23" Column="29" TopLine="5"/>
       </Position24>
       <Position25>
-        <Filename Value="romunit.pas"/>
-        <Caret Line="197" Column="80" TopLine="181"/>
+        <Filename Value="ROM.lpr"/>
+        <Caret Line="258" Column="14" TopLine="234"/>
       </Position25>
       <Position26>
         <Filename Value="romunit.pas"/>
+        <Caret Line="15" Column="30"/>
       </Position26>
       <Position27>
-        <Filename Value="romunit.pas"/>
-        <Caret Line="31" Column="14" TopLine="2"/>
+        <Filename Value="ROM.lpr"/>
+        <Caret Line="258" Column="14" TopLine="264"/>
       </Position27>
       <Position28>
-        <Filename Value="ROM.lpr"/>
-        <Caret Line="29" Column="60" TopLine="18"/>
+        <Filename Value="romunit.pas"/>
+        <Caret Line="32" Column="23" TopLine="14"/>
       </Position28>
       <Position29>
         <Filename Value="romunit.pas"/>
-        <Caret Line="294" Column="12" TopLine="277"/>
+        <Caret Line="876" Column="31"/>
       </Position29>
-      <Position30>
-        <Filename Value="romunit.pas"/>
-        <Caret Line="31" Column="14" TopLine="13"/>
-      </Position30>
     </JumpHistory>
   </ProjectSession>
 </CONFIG>
diff --git a/romunit.pas b/romunit.pas
index ff8ea7c..41fa0c3 100644
--- a/romunit.pas
+++ b/romunit.pas
@@ -869,24 +869,29 @@ begin
 end;
 
 procedure interpoliere(var dat: tExtPointArray);
-var i,j:  longint;
-    tmp:  extended;
-    tdat: tExtPointArray;
+var i,j:      longint;
+    tmp,xLen: extended;
+    tdat:     tExtPointArray;
 begin
-  tmp:=dat[1]['x']-dat[0]['x'];
-  for i:=2 to length(dat)-1 do
-    tmp:=min(tmp,dat[i]['x']-dat[i-1]['x']);
-  if tmp<=0 then Fehler('Die Daten müssen sortiert sein und dürfen keine doppelten x-Werte enthalten! ('+floattostr(tmp)+')');
+  tmp:=0;
+  xLen:=dat[length(dat)-1]['x']-dat[0]['x'];
+  for i:=1 to length(dat)-1 do begin
+    if dat[i]['x']<=dat[i-1]['x'] then
+      Fehler('Die Daten müssen sortiert sein und dürfen keine doppelten x-Werte enthalten! ('+floattostr(tmp)+')');
+    tmp:=tmp + 1/(dat[i]['x']-dat[i-1]['x']);
+  end;
+  tmp:=length(dat)/tmp;
   setlength(tdat,length(dat));
   for i:=0 to length(dat)-1 do
     tdat[i]:=dat[i];
-  setlength(dat,max(2*length(tdat),round(min(power(length(tdat),1.3),(tdat[length(tdat)-1]['x']-tdat[0]['x'])/tmp+1))));
+  setlength(dat,round(xLen/tmp+1));
   j:=0;
   for i:=0 to length(dat)-1 do begin
-    dat[i]['x']:=tdat[0]['x']+(tdat[length(tdat)-1]['x']-tdat[0]['x'])*i/(length(dat)-1);
+    dat[i]['x']:=tdat[0]['x'] + xLen*i/(length(dat)-1);
     while (j<length(tdat)-1) and (tdat[j+1]['x'] <= dat[i]['x']) do
       inc(j);
-    if j=length(tdat)-1 then tmp:=tdat[j]['y']
+    if j=length(tdat)-1 then
+      tmp:=tdat[j]['y']
     else begin
       tmp:=(dat[i]['x']-tdat[j]['x'])/(tdat[j+1]['x']-tdat[j]['x']);
       tmp:=tdat[j]['y']*(1-tmp) + tdat[j+1]['y']*tmp;
-- 
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