From 6b624c81a152b8a33ed19eba2350a92f2f8e4a40 Mon Sep 17 00:00:00 2001
From: Erich Eckner <git@eckner.net>
Date: Wed, 8 Nov 2017 16:00:54 +0100
Subject: matheunit.pas: ermittleAnstieg neu

---
 lowlevelunit.pas |  2 +-
 matheunit.pas    | 46 ++++++++++++++++++++++++++++++++++++++++++++--
 2 files changed, 45 insertions(+), 3 deletions(-)

diff --git a/lowlevelunit.pas b/lowlevelunit.pas
index fd83c11..1497d2c 100644
--- a/lowlevelunit.pas
+++ b/lowlevelunit.pas
@@ -512,7 +512,7 @@ begin
       result:=result/10 + ord(s[i])-ord('0');
     result:=result/10 + ord(s[1])-ord('0');
   end
-  else result:=strtofloat(s);
+  else result:=strToFloat(s);
   result:=result*power(10,e);
   if neg then
     result:=-result;
diff --git a/matheunit.pas b/matheunit.pas
index e9f2a16..e8a1e1e 100644
--- a/matheunit.pas
+++ b/matheunit.pas
@@ -53,6 +53,7 @@ function formelnAuswerten(s: string; kvs: tKnownValues; cbgv: tCallBackGetValue)
 function knownValue(nam: string; val: extended): tKnownValue;
 function berechneEinheitsZelle(invarianz,modulus: tInt64Point): tInt64Point;
 function ggT(a,b: int64): int64;
+function ermittleAnstieg(dat: string; xSpalte,ySpalte: int64): extended;
 
 implementation
 
@@ -332,7 +333,7 @@ begin
      result:=result/10 + ord(s[i])-ord('0');
    result:=result/10 + ord(s[1])-ord('0');
  end
- else result:=strtofloat(s);
+ else result:=strToFloat(s);
  result:=result*power(10,e);
  if neg then
    result:=-result;
@@ -539,7 +540,7 @@ begin
   cbv:=false;
   for i:=1 to length(s) do
     cbv:=cbv or not (s[i] in ['-','0'..'9','.',',','e','E']);
-  if not cbv then result:=strtofloat(s)
+  if not cbv then result:=strToFloat(s)
   else if not (assigned(kvs) and kvs.extract(s,result)) then begin
     if st then result:=1
     else if assigned(cbgv) then result:=cbgv(s)
@@ -852,5 +853,46 @@ begin  // a <= b
   result:=b;
 end;
 
+function ermittleAnstieg(dat: string; xSpalte,ySpalte: int64): extended;
+var
+  f:                       textFile;
+  s:                       string;
+  xSum,xQdrSum,ySum,xySum: extended;
+  wert:                    tExtPoint;
+  i,anz:                   int64;
+begin
+  if xSpalte=ySpalte then begin
+    result:=1;
+    exit;
+  end;
+  anz:=0;
+  xSum:=0;
+  ySum:=0;
+  xySum:=0;
+  xQdrSum:=0;
+  assignFile(f,dat);
+  reset(f);
+  while not eof(f) do begin
+    readln(f,s);
+    for i:=0 to min(xSpalte,ySpalte)-1 do
+      erstesArgument(s);
+    wert[char(ord('x')+byte(ySpalte<xSpalte))]:=
+      strToFloat(erstesArgument(s));
+    for i:=min(xSpalte,ySpalte)+1 to max(xSpalte,ySpalte)-1 do
+      erstesArgument(s);
+    wert[char(ord('x')+byte(xSpalte<ySpalte))]:=
+      strToFloat(erstesArgument(s));
+    inc(anz);
+    xSum:=xSum+wert['x'];
+    ySum:=ySum+wert['y'];
+    xySum:=xySum+wert['x']*wert['y'];
+    xQdrSum:=xQdrSum+sqr(wert['x']);
+  end;
+  closeFile(f);
+  if anz=0 then
+    fehler('Keine Werte in Anstiegs-Datei'''+dat+'''!');
+  result:=(anz*xySum-xSum*ySum)/(anz*xQdrSum-sqr(xSum))
+end;
+
 end.
 
-- 
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