aboutsummaryrefslogtreecommitdiff
path: root/demo/curve2.c
diff options
context:
space:
mode:
Diffstat (limited to 'demo/curve2.c')
-rw-r--r--demo/curve2.c63
1 files changed, 63 insertions, 0 deletions
diff --git a/demo/curve2.c b/demo/curve2.c
new file mode 100644
index 0000000..f0a1f08
--- /dev/null
+++ b/demo/curve2.c
@@ -0,0 +1,63 @@
+/*
+ * Library: lmfit (Levenberg-Marquardt least squares fitting)
+ *
+ * File: demo/curve1.c
+ *
+ * Contents: Example for fitting data with error bars:
+ * fit a data set (x,y+-dy) by a curve f(x;p).
+ *
+ * Author: Joachim Wuttke <j.wuttke@fz-juelich.de> 2004-2013
+ *
+ * Licence: see ../COPYING (FreeBSD)
+ *
+ * Homepage: apps.jcns.fz-juelich.de/lmfit
+ */
+
+#include "lmcurve_tyd.h"
+#include <stdio.h>
+
+/* model function: a parabola */
+
+double f( double t, const double *p )
+{
+ return p[0] + p[1]*t + p[2]*t*t;
+}
+
+int main()
+{
+ int n = 3; /* number of parameters in model function f */
+ double par[3] = { 100, 0, -10 }; /* really bad starting value */
+
+ /* data points: a slightly distorted standard parabola */
+ int m = 9;
+ int i;
+ double t[9] = { -4., -3., -2., -1., 0., 1., 2., 3., 4. };
+ double y[9] = { 16.6, 9.9, 4.4, 1.1, 0., 1.1, 4.2, 9.3, 16.4 };
+ double dy[9] = { 4, 3, 2, 1, 2, 3, 4, 5, 6 };
+
+ lm_control_struct control = lm_control_double;
+ lm_status_struct status;
+ control.verbosity = 1;
+
+ printf( "Fitting ...\n" );
+ /* now the call to lmfit */
+ lmcurve_tyd( n, par, m, t, y, dy, f, &control, &status );
+
+ printf( "Results:\n" );
+ printf( "status after %d function evaluations:\n %s\n",
+ status.nfev, lm_infmsg[status.outcome] );
+
+ printf("obtained parameters:\n");
+ for ( i = 0; i < n; ++i)
+ printf(" par[%i] = %12g\n", i, par[i]);
+ printf("obtained norm:\n %12g\n", status.fnorm );
+
+ printf("fitting data as follows:\n");
+ for ( i = 0; i < m; ++i)
+ printf(
+ " t[%1d]=%2g y=%5.1f+-%4.1f fit=%8.5f residue=%8.4f weighed=%8.4f\n",
+ i, t[i], y[i], dy[i], f(t[i],par), y[i] - f(t[i],par),
+ (y[i] - f(t[i],par))/dy[i] );
+
+ return 0;
+}