Improve curve-fit reports, uncertainty handling, and results layout

src/org/opensourcephysics/display/DataTable.java

@@ -357,6 +357,15 @@ public void setFormatPattern(String columnName, String pattern) {
 	 * @param units      the units string (may be null)
 	 * @param tootip     the tooltip (may be null)
 	 */
+    /** Returns existing renderer metadata; never interprets the column name. */
+    public String getUnits(String columnName) {
+        if (columnName == null) return null;
+        int suffix=columnName.indexOf("_{ ");
+        String key=suffix>0?columnName.substring(0,suffix):columnName;
+        UnitRenderer renderer=unitRenderersByColumnName.get(key);
+        return renderer==null?null:renderer.units;
+    }
+
 	public void setUnits(String columnName, String units, String tooltip) {
 		if (units == null) {
 			unitRenderersByColumnName.remove(columnName);
@@ -2643,7 +2652,10 @@ public StringBuffer getData(boolean asFormatted) {
 				if (isRowNumberVisible() && selectedColumns[j] == 0)
 					continue;
 				String name = getColumnName(selectedColumns[j]);
-				name = TeXParser.removeSubscripting(name);
+				String units = getUnits(name);
+                name = units == null || units.trim().length() == 0
+                        ? ExportText.ascii(TeXParser.removeSubscripting(name))
+                        : ExportText.header(name, units);
 	//			if (name.startsWith(FunctionEditor.THETA)) {
 	//				for (int i = 0; i < selectedRows.length; i++) {
 	//					Object val = getFormattedValueAt(selectedRows[i], selectedColumns[j]);

src/org/opensourcephysics/display/ExportText.java

@@ -0,0 +1,30 @@
+package org.opensourcephysics.display;
+
+/** Plain-text notation for spreadsheet headers and expressions, never numeric cells. */
+public final class ExportText {
+    private ExportText() {}
+    public static String ascii(String text) {
+        if (text == null) return "";
+        String s = text.replace("\\cdot", "*").replace("\\times", "*")
+                .replace("\\mu", "u").replace("\\theta", "theta").replace("\\sigma", "sigma")
+                .replace("\\alpha", "alpha").replace("\\beta", "beta").replace("\\omega", "omega")
+                .replace("\\Delta", "Delta").replace("\\pi", "pi")
+                .replace("·", "*").replace("×", "*").replace("−", "-")
+                .replace("µ", "u").replace("μ", "u").replace("θ", "theta")
+                .replace("σ", "sigma").replace("α", "alpha").replace("β", "beta")
+                .replace("ω", "omega").replace("Δ", "Delta").replace("π", "pi");
+        String supers = "⁰¹²³⁴⁵⁶⁷⁸⁹⁻⁺", normal = "0123456789-+";
+        StringBuilder out = new StringBuilder(); boolean exponent = false;
+        for (int i=0;i<s.length();i++) {
+            int n=supers.indexOf(s.charAt(i));
+            if(n>=0) { if(!exponent) out.append('^'); out.append(normal.charAt(n)); exponent=true; }
+            else { out.append(s.charAt(i)); exponent=false; }
+        }
+        return out.toString().replaceAll("([_^])\\{([^{}]*)\\}", "$1$2");
+    }
+    public static String header(String name, String units) {
+        String label=ascii(name), unit=ascii(units).trim();
+        String suffix=" ("+unit+")";
+        return unit.length()==0 || label.endsWith(suffix) ? label : label+suffix;
+    }
+}

src/org/opensourcephysics/resources/tools/tools.properties

@@ -905,4 +905,96 @@ LibraryResource.Type.Data.Description=Data file
 LibraryResource.Type.URL.Description=URL hyperlink
 LibraryBrowser.Dialog.NoResources.File=The file
 LibraryTreePanel.Dialog.Open.Message=Do you want to open
-LibraryTreePanel.Dialog.Open.Title=Open Resource?
+LibraryTreePanel.Dialog.Open.Title=Open Resource?
+
+# Curve fit clipboard report
+DatasetCurveFitter.Button.CopyFitReport=Copy Fit Report
+DatasetCurveFitter.Button.CopyFitReport.Tooltip=Copy parameters and the fit statistics shown on screen
+DatasetCurveFitter.Report.Title=Curve fit report
+DatasetCurveFitter.Report.Data=Data
+DatasetCurveFitter.Report.Model=Model
+DatasetCurveFitter.Report.Equation=Equation
+DatasetCurveFitter.Report.Mode=Mode
+DatasetCurveFitter.Report.Auto=Automatic fit
+DatasetCurveFitter.Report.Manual=Manual parameters
+DatasetCurveFitter.Report.Parameter=Parameter
+DatasetCurveFitter.Report.Value=Value (full precision)
+DatasetCurveFitter.Report.Uncertainty=Uncertainty (full precision)
+DatasetCurveFitter.Report.Rounded=Value +/- uncertainty (rounded)
+DatasetCurveFitter.Report.Fixed=Fixed
+DatasetCurveFitter.Report.Yes=Yes
+DatasetCurveFitter.Report.No=No
+DatasetCurveFitter.Report.NA=N/A
+DatasetCurveFitter.Report.Points=Data points (n)
+DatasetCurveFitter.Report.Free=Free parameters
+DatasetCurveFitter.Report.DF=Degrees of freedom (n - rank)
+DatasetCurveFitter.Report.SSE=Residual sum of squares (SSE)
+DatasetCurveFitter.Report.RMS=RMS deviation (sqrt(SSE/n))
+DatasetCurveFitter.Report.R2=R-squared (1 - SSE/SST)
+DatasetCurveFitter.Report.SE=Residual standard error (sqrt(SSE/(n-p)))
+DatasetCurveFitter.Report.Note=Residual statistics for the current data and parameters. Parameter uncertainties are the fitter's estimates. N/A means unavailable or undefined.
+
+DatasetCurveFitter.Button.CopyFitParameters=Copy Fit Parameters
+DatasetCurveFitter.Button.CopyFitParameters.Tooltip=Copy full-precision values, uncertainties, and rounded reporting values
+DatasetCurveFitter.Statistics.Points=Points
+DatasetCurveFitter.Statistics.Free=Free parameters
+DatasetCurveFitter.Statistics.DF=Degrees of freedom
+DatasetCurveFitter.Statistics.R2=R-squared
+DatasetCurveFitter.Statistics.SSE=SSE
+DatasetCurveFitter.Statistics.SE=Residual SE
+
+DatasetCurveFitter.Report.Summary=SUMMARY OUTPUT
+DatasetCurveFitter.Report.RegressionStatistics=Regression Statistics
+DatasetCurveFitter.Report.MultipleR=Multiple R
+DatasetCurveFitter.Report.RSquare=R Square (centered)
+DatasetCurveFitter.Report.AdjustedRSquare=Adjusted R Square (centered)
+DatasetCurveFitter.Report.StandardError=Standard Error
+DatasetCurveFitter.Report.Observations=Observations
+DatasetCurveFitter.Report.ANOVA=ANOVA
+DatasetCurveFitter.Report.Regression=Regression
+DatasetCurveFitter.Report.Residual=Residual
+DatasetCurveFitter.Report.Total=Total
+DatasetCurveFitter.Report.Coefficients=Coefficients
+
+DatasetCurveFitter.Uncertainty.Label=Data uncertainty:
+DatasetCurveFitter.Uncertainty.Estimated=Unweighted - estimate from residuals
+DatasetCurveFitter.Uncertainty.Constant=Known uncertainty (data units)
+DatasetCurveFitter.Uncertainty.Pixels=Known uncertainty (pixels)
+DatasetCurveFitter.Uncertainty.Custom=Choose a value or type a custom positive uncertainty.
+DatasetCurveFitter.Uncertainty.Invalid=Unavailable: enter a positive value and check calibration.
+DatasetCurveFitter.Report.Fit=FIT
+DatasetCurveFitter.Report.XVariable=X variable
+DatasetCurveFitter.Report.YVariable=Y variable
+DatasetCurveFitter.Report.Rank=Independent parameter rank
+DatasetCurveFitter.Report.Identifiability=Fit parameters are not independently identifiable
+DatasetCurveFitter.Report.Residuals=RESIDUALS
+DatasetCurveFitter.Report.RMSResidual=RMS residual
+DatasetCurveFitter.Report.Goodness=GOODNESS OF FIT
+DatasetCurveFitter.Report.ChiSquare=Chi square
+DatasetCurveFitter.Report.ReducedChiSquare=Reduced chi square
+DatasetCurveFitter.Report.ChiProbability=Chi-square probability Q
+DatasetCurveFitter.Report.ByConstruction=by construction
+DatasetCurveFitter.Report.UncertaintyModel=UNCERTAINTY MODEL
+DatasetCurveFitter.Report.Estimated=Estimated from residuals
+DatasetCurveFitter.Report.Specified=Specified constant sigma_y
+DatasetCurveFitter.Report.EstimatedSigma=Estimated sigma_y
+DatasetCurveFitter.Report.SpecifiedSigma=Specified sigma_y
+DatasetCurveFitter.Report.SigmaPixels=Specified position uncertainty
+DatasetCurveFitter.Report.EstimatedCaution=Residual-estimated reduced chi square is 1 by construction, not an independent goodness-of-fit test. Q is unavailable. A perfect fit has zero estimated sigma and undefined chi square.
+DatasetCurveFitter.Report.QCaution=Q assumes independent Gaussian measurement errors with the stated common sigma. For nonlinear fits the rank-based degrees of freedom and Q are local approximations.
+DatasetCurveFitter.Report.R2Description=Centered R Square describes variance explained, not proof of goodness of fit. Excel uses an uncentered convention for some fits through zero.
+DatasetCurveFitter.Report.Parameters=PARAMETERS
+DatasetCurveFitter.Report.Units=Units
+
+DatasetCurveFitter.Report.ResidualStandardError=Residual standard error
+
+DatasetCurveFitter.Menuitem.CopyFullReport=Copy Full Fit Report
+DatasetCurveFitter.Button.CopyOptions.Tooltip=More copy options (full fit analysis)
+
+DatasetCurveFitter.Uncertainty.Value=Uncertainty value:
+
+DatasetCurveFitter.Report.Velocity=velocity
+DatasetCurveFitter.Report.VelocityAtZero=velocity at t=0
+DatasetCurveFitter.Report.Acceleration=acceleration
+DatasetCurveFitter.Report.MotionResults=MOTION FROM POSITION FIT
+DatasetCurveFitter.Report.Quantity=Quantity