Author: luc
Date: Sun Jan 18 08:57:29 2009
New Revision: 735501
URL: http://svn.apache.org/viewvc?rev=735501&view=rev
Log:
fixed various minor bugs identified by checkstyle and findbugs
Modified:
commons/proper/math/trunk/findbugs-exclude-filter.xml
commons/proper/math/trunk/pom.xml
commons/proper/math/trunk/src/java/org/apache/commons/math/analysis/minimization/BrentMinimizer.java
commons/proper/math/trunk/src/java/org/apache/commons/math/analysis/minimization/UnivariateRealMinimizerImpl.java
commons/proper/math/trunk/src/java/org/apache/commons/math/analysis/solvers/UnivariateRealSolver.java
commons/proper/math/trunk/src/java/org/apache/commons/math/analysis/solvers/UnivariateRealSolverImpl.java
commons/proper/math/trunk/src/java/org/apache/commons/math/ode/SecondOrderDifferentialEquations.java
commons/proper/math/trunk/src/java/org/apache/commons/math/transform/FastFourierTransformer.java
commons/proper/math/trunk/src/java/org/apache/commons/math/util/OpenIntToDoubleHashMap.java
commons/proper/math/trunk/src/java/org/apache/commons/math/util/ResizableDoubleArray.java
commons/proper/math/trunk/src/site/xdoc/userguide/index.xml
Modified: commons/proper/math/trunk/findbugs-exclude-filter.xml
URL:
http://svn.apache.org/viewvc/commons/proper/math/trunk/findbugs-exclude-filter.xml?rev=735501&r1=735500&r2=735501&view=diff
==============================================================================
--- commons/proper/math/trunk/findbugs-exclude-filter.xml (original)
+++ commons/proper/math/trunk/findbugs-exclude-filter.xml Sun Jan 18 08:57:29
2009
@@ -26,6 +26,11 @@
<!-- the following equality tests are part of the reference algorithms -->
<!-- which already know about limited precision of the double numbers -->
<Match>
+ <Class name="org.apache.commons.math.analysis.minimization.BrentMinimizer"
/>
+ <Method name="localMin"
params="double,double,double,double,org.apache.commons.math.analysis.UnivariateRealFunction"
returns="double" />
+ <Bug pattern="FE_FLOATING_POINT_EQUALITY" />
+ </Match>
+ <Match>
<Class name="org.apache.commons.math.analysis.solvers.BrentSolver" />
<Method name="solve"
params="org.apache.commons.math.analysis.UnivariateRealFunction,double,double,double,double,double,double"
returns="double" />
<Bug pattern="FE_FLOATING_POINT_EQUALITY" />
Modified: commons/proper/math/trunk/pom.xml
URL:
http://svn.apache.org/viewvc/commons/proper/math/trunk/pom.xml?rev=735501&r1=735500&r2=735501&view=diff
==============================================================================
--- commons/proper/math/trunk/pom.xml (original)
+++ commons/proper/math/trunk/pom.xml Sun Jan 18 08:57:29 2009
@@ -224,11 +224,10 @@
</descriptors>
</configuration>
</plugin>
- <!--
<plugin>
<groupId>org.codehaus.mojo</groupId>
<artifactId>cobertura-maven-plugin</artifactId>
- <version>2.0</version>
+ <version>2.2</version>
<executions>
<execution>
<goals>
@@ -237,7 +236,6 @@
</execution>
</executions>
</plugin>
- -->
<plugin>
<groupId>org.codehaus.mojo</groupId>
<artifactId>clirr-maven-plugin</artifactId>
@@ -264,13 +262,11 @@
<excludeFilterFile>${basedir}/findbugs-exclude-filter.xml</excludeFilterFile>
</configuration>
</plugin>
- <!--
<plugin>
<groupId>org.codehaus.mojo</groupId>
<artifactId>cobertura-maven-plugin</artifactId>
- <version>2.0</version>
+ <version>2.2</version>
</plugin>
- -->
<plugin>
<groupId>org.apache.maven.plugins</groupId>
<artifactId>maven-changes-plugin</artifactId>
Modified:
commons/proper/math/trunk/src/java/org/apache/commons/math/analysis/minimization/BrentMinimizer.java
URL:
http://svn.apache.org/viewvc/commons/proper/math/trunk/src/java/org/apache/commons/math/analysis/minimization/BrentMinimizer.java?rev=735501&r1=735500&r2=735501&view=diff
==============================================================================
---
commons/proper/math/trunk/src/java/org/apache/commons/math/analysis/minimization/BrentMinimizer.java
(original)
+++
commons/proper/math/trunk/src/java/org/apache/commons/math/analysis/minimization/BrentMinimizer.java
Sun Jan 18 08:57:29 2009
@@ -16,7 +16,6 @@
*/
package org.apache.commons.math.analysis.minimization;
-import org.apache.commons.math.ConvergenceException;
import org.apache.commons.math.FunctionEvaluationException;
import org.apache.commons.math.MaxIterationsExceededException;
import org.apache.commons.math.analysis.UnivariateRealFunction;
@@ -56,7 +55,7 @@
* @param max the upper bound for the interval.
* @param startValue this parameter is <em>not</em> used at all
* @return a value where the function is minimum
- * @throws ConvergenceException if the maximum iteration count is exceeded
+ * @throws MaxIterationsExceededException if the maximum iteration count
is exceeded
* or the minimizer detects convergence problems otherwise.
* @throws FunctionEvaluationException if an error occurs evaluating the
* function
@@ -75,7 +74,7 @@
throws MaxIterationsExceededException,
FunctionEvaluationException {
clearResult();
- return localmin(min, max, relativeAccuracy, absoluteAccuracy, f);
+ return localMin(min, max, relativeAccuracy, absoluteAccuracy, f);
}
/**
@@ -101,7 +100,7 @@
* @throws FunctionEvaluationException if an error occurs evaluating
* the function.
*/
- private double localmin(double a, double b, final double eps,
+ private double localMin(double a, double b, final double eps,
final double t, final UnivariateRealFunction f)
throws MaxIterationsExceededException, FunctionEvaluationException {
double x = a + c * (b - a);
Modified:
commons/proper/math/trunk/src/java/org/apache/commons/math/analysis/minimization/UnivariateRealMinimizerImpl.java
URL:
http://svn.apache.org/viewvc/commons/proper/math/trunk/src/java/org/apache/commons/math/analysis/minimization/UnivariateRealMinimizerImpl.java?rev=735501&r1=735500&r2=735501&view=diff
==============================================================================
---
commons/proper/math/trunk/src/java/org/apache/commons/math/analysis/minimization/UnivariateRealMinimizerImpl.java
(original)
+++
commons/proper/math/trunk/src/java/org/apache/commons/math/analysis/minimization/UnivariateRealMinimizerImpl.java
Sun Jan 18 08:57:29 2009
@@ -33,12 +33,6 @@
/** Serializable version identifier. */
private static final long serialVersionUID = 4543031162377070699L;
-// /** Maximum error of function. */
-// protected double functionValueAccuracy;
-//
-// /** Default maximum error of function. */
-// protected double defaultFunctionValueAccuracy;
-
/** Indicates where a root has been computed. */
protected boolean resultComputed = false;
@@ -59,13 +53,12 @@
protected UnivariateRealMinimizerImpl(int defaultMaximalIterationCount,
double defaultAbsoluteAccuracy) {
super(defaultMaximalIterationCount, defaultAbsoluteAccuracy);
-// this.functionValueAccuracy = defaultFunctionValueAccuracy;
}
/** Check if a result has been computed.
* @exception IllegalStateException if no result has been computed
*/
- protected void checkResultComputed() throws IllegalArgumentException {
+ protected void checkResultComputed() throws IllegalStateException {
if (!resultComputed) {
throw MathRuntimeException.createIllegalStateException("no result
available", null);
}
@@ -83,21 +76,6 @@
return functionValue;
}
-// /** {...@inheritdoc} */
-// public void setFunctionValueAccuracy(double accuracy) {
-// functionValueAccuracy = accuracy;
-// }
-//
-// /** {...@inheritdoc} */
-// public double getFunctionValueAccuracy() {
-// return functionValueAccuracy;
-// }
-//
-// /** {...@inheritdoc} */
-// public void resetFunctionValueAccuracy() {
-// functionValueAccuracy = defaultFunctionValueAccuracy;
-// }
-
/**
* Convenience function for implementations.
*
Modified:
commons/proper/math/trunk/src/java/org/apache/commons/math/analysis/solvers/UnivariateRealSolver.java
URL:
http://svn.apache.org/viewvc/commons/proper/math/trunk/src/java/org/apache/commons/math/analysis/solvers/UnivariateRealSolver.java?rev=735501&r1=735500&r2=735501&view=diff
==============================================================================
---
commons/proper/math/trunk/src/java/org/apache/commons/math/analysis/solvers/UnivariateRealSolver.java
(original)
+++
commons/proper/math/trunk/src/java/org/apache/commons/math/analysis/solvers/UnivariateRealSolver.java
Sun Jan 18 08:57:29 2009
@@ -117,7 +117,7 @@
*/
@Deprecated
double solve(double min, double max, double startValue)
- throws ConvergenceException, FunctionEvaluationException;
+ throws ConvergenceException, FunctionEvaluationException,
IllegalArgumentException;
/**
* Solve for a zero in the given interval, start at startValue.
@@ -137,7 +137,7 @@
* @since 2.0
*/
double solve(UnivariateRealFunction f, double min, double max, double
startValue)
- throws ConvergenceException, FunctionEvaluationException;
+ throws ConvergenceException, FunctionEvaluationException,
IllegalArgumentException;
/**
* Get the result of the last run of the solver.
Modified:
commons/proper/math/trunk/src/java/org/apache/commons/math/analysis/solvers/UnivariateRealSolverImpl.java
URL:
http://svn.apache.org/viewvc/commons/proper/math/trunk/src/java/org/apache/commons/math/analysis/solvers/UnivariateRealSolverImpl.java?rev=735501&r1=735500&r2=735501&view=diff
==============================================================================
---
commons/proper/math/trunk/src/java/org/apache/commons/math/analysis/solvers/UnivariateRealSolverImpl.java
(original)
+++
commons/proper/math/trunk/src/java/org/apache/commons/math/analysis/solvers/UnivariateRealSolverImpl.java
Sun Jan 18 08:57:29 2009
@@ -102,7 +102,7 @@
/** Check if a result has been computed.
* @exception IllegalStateException if no result has been computed
*/
- protected void checkResultComputed() throws IllegalArgumentException {
+ protected void checkResultComputed() throws IllegalStateException {
if (!resultComputed) {
throw MathRuntimeException.createIllegalStateException("no result
available", null);
}
Modified:
commons/proper/math/trunk/src/java/org/apache/commons/math/ode/SecondOrderDifferentialEquations.java
URL:
http://svn.apache.org/viewvc/commons/proper/math/trunk/src/java/org/apache/commons/math/ode/SecondOrderDifferentialEquations.java?rev=735501&r1=735500&r2=735501&view=diff
==============================================================================
---
commons/proper/math/trunk/src/java/org/apache/commons/math/ode/SecondOrderDifferentialEquations.java
(original)
+++
commons/proper/math/trunk/src/java/org/apache/commons/math/ode/SecondOrderDifferentialEquations.java
Sun Jan 18 08:57:29 2009
@@ -17,6 +17,8 @@
package org.apache.commons.math.ode;
+import java.io.Serializable;
+
/** This interface represents a second order differential equations set.
* <p>This interface should be implemented by all real second order
@@ -44,7 +46,7 @@
* @since 1.2
*/
-public interface SecondOrderDifferentialEquations {
+public interface SecondOrderDifferentialEquations extends Serializable {
/** Get the dimension of the problem.
* @return dimension of the problem
Modified:
commons/proper/math/trunk/src/java/org/apache/commons/math/transform/FastFourierTransformer.java
URL:
http://svn.apache.org/viewvc/commons/proper/math/trunk/src/java/org/apache/commons/math/transform/FastFourierTransformer.java?rev=735501&r1=735500&r2=735501&view=diff
==============================================================================
---
commons/proper/math/trunk/src/java/org/apache/commons/math/transform/FastFourierTransformer.java
(original)
+++
commons/proper/math/trunk/src/java/org/apache/commons/math/transform/FastFourierTransformer.java
Sun Jan 18 08:57:29 2009
@@ -722,9 +722,12 @@
*/
public Complex set(Complex magnitude, int... vector)
throws IllegalArgumentException {
- if (vector == null && dimensionSize.length > 1) {
- throw
MathRuntimeException.createIllegalArgumentException("some dimensions don't
math: {0} != {1}",
- new
Object[] { 0, dimensionSize.length });
+ if (vector == null) {
+ if (dimensionSize.length > 1) {
+ throw
MathRuntimeException.createIllegalArgumentException("some dimensions don't
math: {0} != {1}",
+
new Object[] { 0, dimensionSize.length });
+ }
+ return null;
}
if (vector != null && vector.length != dimensionSize.length) {
throw
MathRuntimeException.createIllegalArgumentException("some dimensions don't
math: {0} != {1}",
@@ -733,17 +736,15 @@
dimensionSize.length
});
}
-
- Object lastDimension = multiDimensionalComplexArray;
-
+
+ Object[] lastDimension = (Object[]) multiDimensionalComplexArray;
for (int i = 0; i < dimensionSize.length - 1; i++) {
- lastDimension = ((Object[]) lastDimension)[vector[i]];
+ lastDimension = (Object[]) lastDimension[vector[i]];
}
-
- Complex lastValue = (Complex) ((Object[])
- lastDimension)[vector[dimensionSize.length - 1]];
- ((Object[]) lastDimension)[vector[dimensionSize.length - 1]] =
- magnitude;
+
+ Complex lastValue = (Complex)
lastDimension[vector[dimensionSize.length - 1]];
+ lastDimension[vector[dimensionSize.length - 1]] = magnitude;
+
return lastValue;
}
Modified:
commons/proper/math/trunk/src/java/org/apache/commons/math/util/OpenIntToDoubleHashMap.java
URL:
http://svn.apache.org/viewvc/commons/proper/math/trunk/src/java/org/apache/commons/math/util/OpenIntToDoubleHashMap.java?rev=735501&r1=735500&r2=735501&view=diff
==============================================================================
---
commons/proper/math/trunk/src/java/org/apache/commons/math/util/OpenIntToDoubleHashMap.java
(original)
+++
commons/proper/math/trunk/src/java/org/apache/commons/math/util/OpenIntToDoubleHashMap.java
Sun Jan 18 08:57:29 2009
@@ -17,6 +17,8 @@
package org.apache.commons.math.util;
+import java.io.IOException;
+import java.io.ObjectInputStream;
import java.io.Serializable;
import java.util.ConcurrentModificationException;
import java.util.NoSuchElementException;
@@ -579,4 +581,17 @@
}
+ /**
+ * Read a serialized object.
+ * @param stream input stream
+ * @throws IOException if object cannot be read
+ * @throws ClassNotFoundException if the class corresponding
+ * to the serialized object cannot be found
+ */
+ private void readObject(final ObjectInputStream stream)
+ throws IOException, ClassNotFoundException {
+ stream.defaultReadObject();
+ count = 0;
+ }
+
}
Modified:
commons/proper/math/trunk/src/java/org/apache/commons/math/util/ResizableDoubleArray.java
URL:
http://svn.apache.org/viewvc/commons/proper/math/trunk/src/java/org/apache/commons/math/util/ResizableDoubleArray.java?rev=735501&r1=735500&r2=735501&view=diff
==============================================================================
---
commons/proper/math/trunk/src/java/org/apache/commons/math/util/ResizableDoubleArray.java
(original)
+++
commons/proper/math/trunk/src/java/org/apache/commons/math/util/ResizableDoubleArray.java
Sun Jan 18 08:57:29 2009
@@ -873,13 +873,15 @@
*/
public int hashCode() {
int[] hashData = new int[7];
- hashData[0] = Arrays.hashCode(internalArray);
- hashData[1] = new Float(expansionFactor).hashCode();
- hashData[2] = new Float(contractionCriteria).hashCode();
- hashData[3] = initialCapacity;
- hashData[4] = expansionMode;
- hashData[5] = numElements;
- hashData[6] = startIndex;
+ hashData[0] = new Float(expansionFactor).hashCode();
+ hashData[1] = new Float(contractionCriteria).hashCode();
+ hashData[2] = expansionMode;
+ synchronized(this) {
+ hashData[3] = Arrays.hashCode(internalArray);
+ hashData[4] = initialCapacity;
+ hashData[5] = numElements;
+ hashData[6] = startIndex;
+ }
return Arrays.hashCode(hashData);
}
Modified: commons/proper/math/trunk/src/site/xdoc/userguide/index.xml
URL:
http://svn.apache.org/viewvc/commons/proper/math/trunk/src/site/xdoc/userguide/index.xml?rev=735501&r1=735500&r2=735501&view=diff
==============================================================================
--- commons/proper/math/trunk/src/site/xdoc/userguide/index.xml (original)
+++ commons/proper/math/trunk/src/site/xdoc/userguide/index.xml Sun Jan 18
08:57:29 2009
@@ -30,107 +30,108 @@
<ul>
<li><a href="overview.html">0. Overview</a>
<ul>
- <li><a href="overview.html#0.1 About the User Guide">0.1 About
the User Guide</a></li>
- <li><a href="overview.html#0.2 What&apos;s in
commons-math">0.2 What's in commons-math</a></li>
- <li><a href="overview.html#0.3 How commons-math is
organized">0.3 How commons-math is organized</a></li>
- <li><a href="overview.html#0.4 How interface contracts are
specified in commons-math javadoc">0.4 How interface contracts are specified in
commons-math javadoc</a></li>
- <li><a href="overview.html#0.5 Dependencies">0.5
Dependencies</a></li>
+ <li><a href="overview.html#a0.1_About_the_User_Guide">0.1 About
the User Guide</a></li>
+ <li><a href="overview.html#a0.2_Whats_in_commons-math">0.2
What's in commons-math</a></li>
+ <li><a
href="overview.html#a0.3_How_commons-math_is_organized">0.3 How commons-math is
organized</a></li>
+ <li><a
href="overview.html#a0.4_How_interface_contracts_are_specified_in_commons-math_javadoc">0.4
How interface contracts are specified in commons-math javadoc</a></li>
+ <li><a href="overview.html#a0.5_Dependencies">0.5
Dependencies</a></li>
</ul></li>
<li><a href="stat.html">1. Statistics</a>
<ul>
- <li><a href="stat.html#1.1 Overview">1.1 Overview</a></li>
- <li><a href="stat.html#1.2 Descriptive statistics">1.2
Descriptive statistics</a></li>
- <li><a href="stat.html#1.3 Frequency distributions">1.3
Frequency distributions</a></li>
- <li><a href="stat.html#1.4 Simple regression">1.4 Simple
regression</a></li>
- <li><a href="stat.html#1.5 Statistical tests">1.5 Statistical
tests</a></li>
+ <li><a href="stat.html#a1.1_Overview">1.1 Overview</a></li>
+ <li><a href="stat.html#a1.2_Descriptive_statistics">1.2
Descriptive statistics</a></li>
+ <li><a href="stat.html#a1.3_Frequency_distributions">1.3
Frequency distributions</a></li>
+ <li><a href="stat.html#a1.4_Simple_regression">1.4 Simple
regression</a></li>
+ <li><a href="stat.html#a1.5_Statistical_tests">1.5 Statistical
tests</a></li>
</ul></li>
<li><a href="random.html">2. Data Generation</a>
<ul>
- <li><a href="random.html#2.1 Overview">2.1 Overview</a></li>
- <li><a href="random.html#2.2 Random numbers">2.2 Random
numbers</a></li>
- <li><a href="random.html#2.3 Random Strings">2.3 Random
Strings</a></li>
- <li><a href="random.html#2.4 Random permutations,
combinations, sampling">2.4 Random permutations, combinations, sampling</a></li>
- <li><a href="random.html#2.5 Generating data 'like' an input
file">2.5 Generating data 'like' an input file</a></li>
- <li><a href="random.html#2.6 PRNG Pluggability">2.6 PRNG
Pluggability</a></li>
+ <li><a href="random.html#a2.1_Overview">2.1 Overview</a></li>
+ <li><a href="random.html#a2.2_Random_numbers">2.2 Random
numbers</a></li>
+ <li><a href="random.html#a2.3_Random_Vectors">2.3 Random
Vectors</a></li>
+ <li><a href="random.html#a2.4_Random_Strings">2.4 Random
Strings</a></li>
+ <li><a
href="random.html#a2.5_Random_permutations_combinations_sampling">2.5 Random
permutations, combinations, sampling</a></li>
+ <li><a
href="random.html#a2.6_Generating_data_like_an_input_file">2.6 Generating data
'like' an input file</a></li>
+ <li><a href="random.html#a2.7_PRNG_Pluggability">2.7 PRNG
Pluggability</a></li>
</ul></li>
<li><a href="linear.html">3. Linear Algebra</a>
<ul>
- <li><a href="linear.html#3.1 Overview">3.1 Overview</a></li>
- <li><a href="linear.html#3.2 Real matrices">3.2 Real
matrices</a></li>
- <li><a href="linear.html#3.3 Real vectors">3.3 Real
vectors</a></li>
- <li><a href="linear.html#3.4 Solving linear systems">3.4
Solving linear systems</a></li>
- <li><a href="linear.html#3.5 Eigenvalues/eigenvectors and
singular values/singular vectors">3.5 Eigenvalues/eigenvectors and singular
values/singular vectors</a></li>
+ <li><a href="linear.html#a3.1_Overview">3.1 Overview</a></li>
+ <li><a href="linear.html#a3.2_Real_matrices">3.2 Real
matrices</a></li>
+ <li><a href="linear.html#a3.3_Real_vectors">3.3 Real
vectors</a></li>
+ <li><a href="linear.html#a3.4_Solving_linear_systems">3.4
Solving linear systems</a></li>
+ <li><a
href="linear.html#a3.5_Eigenvalueseigenvectors_and_singular_valuessingular_vectors">3.5
Eigenvalues/eigenvectors and singular values/singular vectors</a></li>
</ul></li>
<li><a href="analysis.html">4. Numerical Analysis</a>
<ul>
- <li><a href="analysis.html#4.1 Overview">4.1 Overview</a></li>
- <li><a href="analysis.html#4.2 Root-finding">4.2
Root-finding</a></li>
- <li><a href="analysis.html#4.3 Minimization">4.3
Minimization</a></li>
- <li><a href="analysis.html#4.4 Interpolation">4.4
Interpolation</a></li>
- <li><a href="analysis.html#4.5 Integration">4.5
Integration</a></li>
- <li><a href="analysis.html#4.6 Polynomials">4.6
Polynomials</a></li>
+ <li><a href="analysis.html#a4.1_Overview">4.1 Overview</a></li>
+ <li><a href="analysis.html#a4.2_Root-finding">4.2
Root-finding</a></li>
+ <li><a href="analysis.html#a4.3_Minimization">4.3
Minimization</a></li>
+ <li><a href="analysis.html#a4.4_Interpolation">4.4
Interpolation</a></li>
+ <li><a href="analysis.html#a4.5_Integration">4.5
Integration</a></li>
+ <li><a href="analysis.html#a4.6_Polynomials">4.6
Polynomials</a></li>
</ul></li>
<li><a href="special.html">5. Special Functions</a>
<ul>
- <li><a href="special.html#5.1 Overview">5.1 Overview</a></li>
- <li><a href="special.html#5.2 Erf functions">5.2 Erf
functions</a></li>
- <li><a href="special.html#5.3 Gamma functions">5.3 Gamma
functions</a></li>
- <li><a href="special.html#5.4 Beta funtions">5.4 Beta
funtions</a></li>
+ <li><a href="special.html#a5.1_Overview">5.1 Overview</a></li>
+ <li><a href="special.html#a5.2_Erf_functions">5.2 Erf
functions</a></li>
+ <li><a href="special.html#a5.3_Gamma_functions">5.3 Gamma
functions</a></li>
+ <li><a href="special.html#a5.4_Beta_funtions">5.4 Beta
funtions</a></li>
</ul></li>
<li><a href="utilities.html">6. Utilities</a>
<ul>
- <li><a href="utilities.html#6.1 Overview">6.1 Overview</a></li>
- <li><a href="utilities.html#6.2 Double array utilities">6.2
Double array utilities</a></li>
- <li><a href="utilities.html#6.3 int/double hash map">6.3
int/double hash map</a></li>
- <li><a href="utilities.html#6.4 Continued Fractions">6.4
Continued Fractions</a></li>
- <li><a href="utilities.html#6.5 binomial coefficients,
factorials and other common math functions">6.5 binomial coefficients,
factorials and other common math functions</a></li>
+ <li><a href="utilities.html#a6.1_Overview">6.1
Overview</a></li>
+ <li><a href="utilities.html#a6.2_Double_array_utilities">6.2
Double array utilities</a></li>
+ <li><a href="utilities.html#a6.3_intdouble_hash_map">6.3
int/double hash map</a></li>
+ <li><a href="utilities.html#a6.4_Continued_Fractions">6.4
Continued Fractions</a></li>
+ <li><a
href="utilities.html#a6.5_binomial_coefficients,_factorials_and_other_common_math_functions">6.5
binomial coefficients, factorials and other common math functions</a></li>
</ul></li>
<li><a href="complex.html">7. Complex Numbers</a>
<ul>
- <li><a href="complex.html#7.1 Overview">7.1 Overview</a></li>
- <li><a href="complex.html#7.2 Complex Numbers">7.2 Complex
Numbers</a></li>
- <li><a href="complex.html#7.3 Complex Transcendental
Functions">7.3 Complex Transcendental Functions</a></li>
- <li><a href="complex.html#7.4 Complex Formatting and
Parsing">7.4 Complex Formatting and Parsing</a></li>
+ <li><a href="complex.html#a7.1_Overview">7.1 Overview</a></li>
+ <li><a href="complex.html#a7.2_Complex_Numbers">7.2 Complex
Numbers</a></li>
+ <li><a
href="complex.html#a7.3_Complex_Transcendental_Functions">7.3 Complex
Transcendental Functions</a></li>
+ <li><a
href="complex.html#a7.4_Complex_Formatting_and_Parsing">7.4 Complex Formatting
and Parsing</a></li>
</ul></li>
<li><a href="distribution.html">8. Probability Distributions</a>
<ul>
- <li><a href="distribution.html#8.1 Overview">8.1
Overview</a></li>
- <li><a href="distribution.html#8.2 Distribution Framework">8.2
Distribution Framework</a></li>
- <li><a href="distribution.html#8.3 User Defined
Distributions">8.3 User Defined Distributions</a></li>
+ <li><a href="distribution.html#a8.1_Overview">8.1
Overview</a></li>
+ <li><a
href="distribution.html#a8.2_Distribution_Framework">8.2 Distribution
Framework</a></li>
+ <li><a
href="distribution.html#a8.3_User_Defined_Distributions">8.3 User Defined
Distributions</a></li>
</ul></li>
<li><a href="fraction.html">9. Fractions</a>
<ul>
- <li><a href="fraction.html#9.1 Overview">9.1 Overview</a></li>
- <li><a href="fraction.html#9.2 Fraction Numbers">9.2 Fraction
Numbers</a></li>
- <li><a href="fraction.html#9.3 Fraction Formatting and
Parsing">9.3 Fraction Formatting and Parsing</a></li>
+ <li><a href="fraction.html#a9.1_Overview">9.1 Overview</a></li>
+ <li><a href="fraction.html#a9.2_Fraction_Numbers">9.2 Fraction
Numbers</a></li>
+ <li><a
href="fraction.html#a9.3_Fraction_Formatting_and_Parsing">9.3 Fraction
Formatting and Parsing</a></li>
</ul></li>
<li><a href="transform.html">10. Transform methods</a></li>
<li><a href="geometry.html">11. Geometry</a>
<ul>
- <li><a href="geometry.html#11.1 Overview">11.1
Overview</a></li>
- <li><a href="geometry.html#11.2 Vectors">11.2 Vectors</a></li>
- <li><a href="geometry.html#11.3 Rotations">11.3
Rotations</a></li>
+ <li><a href="geometry.html#a11.1_Overview">11.1
Overview</a></li>
+ <li><a href="geometry.html#a11.2_Vectors">11.2 Vectors</a></li>
+ <li><a href="geometry.html#a11.3_Rotations">11.3
Rotations</a></li>
</ul></li>
<li><a href="estimation.html">12. Parametric Estimation</a>
<ul>
- <li><a href="estimation.html#12.1 Overview">12.1
Overview</a></li>
- <li><a href="estimation.html#12.2 Models">12.2 Models</a></li>
- <li><a href="estimation.html#12.3 Parameters">12.3
Parameters</a></li>
- <li><a href="estimation.html#12.4 Measurements">12.4
Measurements</a></li>
- <li><a href="estimation.html#12.5 Solvers">12.5
Solvers</a></li>
+ <li><a href="estimation.html#a12.1_Overview">12.1
Overview</a></li>
+ <li><a href="estimation.html#a12.2_Models">12.2 Models</a></li>
+ <li><a href="estimation.html#a12.3_Parameters">12.3
Parameters</a></li>
+ <li><a href="estimation.html#a12.4_Measurements">12.4
Measurements</a></li>
+ <li><a href="estimation.html#a12.5_Solvers">12.5
Solvers</a></li>
</ul></li>
<li><a href="optimization.html">13. Optimization</a>
<ul>
- <li><a href="optimization.html#13.1 Overview">13.1
Overview</a></li>
- <li><a href="optimization.html#13.2 Direct Methods">13.2
Direct Methods</a></li>
+ <li><a href="optimization.html#a13.1_Overview">13.1
Overview</a></li>
+ <li><a href="optimization.html#a13.2_Direct_Methods">13.2
Direct Methods</a></li>
</ul></li>
<li><a href="ode.html">14. Ordinary Differential Equations
Integration</a>
<ul>
- <li><a href="ode.html#14.1 Overview">14.1 Overview</a></li>
- <li><a href="ode.html#14.2 Discrete Events Handling">14.2
Discrete Events Handling</a></li>
- <li><a href="ode.html#14.3 ODE Problems">14.3 ODE
Problems</a></li>
- <li><a href="ode.html#14.4 Integrators">14.4
Integrators</a></li>
+ <li><a href="ode.html#a14.1_Overview">14.1 Overview</a></li>
+ <li><a href="ode.html#a14.2_Discrete_Events_Handling">14.2
Discrete Events Handling</a></li>
+ <li><a href="ode.html#a14.3_ODE_Problems">14.3 ODE
Problems</a></li>
+ <li><a href="ode.html#a14.4_Integrators">14.4
Integrators</a></li>
</ul></li>
</ul>
</section>
