Changeset 1350 in Sophya for trunk/SophyaLib/Manual

Timestamp:

Nov 28, 2000, 11:18:54 AM (25 years ago)

Author:

cmv

Message:

doc de Poly cmv 28/11/00

File:

• trunk/SophyaLib/Manual/sophya.tex (modified) (1 diff)

trunk/SophyaLib/Manual/sophya.tex

@@ -486 +486 @@
 in the HTML pages of the Sophya manual.
 
+\subsection{Polynomial}
+
+Polynomials of 1 or 2 variables are supported ({\tt Poly} and {\tt Poly2}).
+Various operations are supported~:
+\begin{itemize}
+\item elementary operations between polynomials $(+,-,*,/) $
+\item setting or getting coefficients
+\item computing the value of the polynomial for a given value
+      of the variable(s),
+\item derivating
+\item computing roots (degre 1 or 2)
+\item fitting the polynomial to vectors of data.
+\end{itemize}
+Here is an example of polynomial fitting~:
+\begin{verbatim}
+#include "poly.h"
+// ...
+Poly pol(2);
+pol[0] = 100.; pol[1] = 0.; pol[2] = 0.01; // Setting coefficients
+TVector<r_8> x(100);
+TVector<r_8> y(100);
+TVector<r_8> ey(100);
+for(int i=0;i<100;i++) {
+  x(i)  = i;
+  ey(i) = 10.;
+  y(i)  = pol((double) i) + ey(i)*NorRand();
+  ey(i) *= ey(i)
+}
+
+TVector<r_8> errcoef;
+Poly polfit;
+polfit.Fit(x,y,ey,2,errcoef);
+
+cout<<"Fit Result"<<polfit<<endl;
+cout<<"Errors :"<<errcoef;
+\end{verbatim}
+
+Similar operations can be done on polynomials with 2 variables.
 
 \section{Module Samba}