Add documentation for examples

Also remove random.h which is not used anymore.

Change-Id: I389a0fc0fd771619e179dcf305bb0991ad1d82ff
diff --git a/examples/curve_fitting.cc b/examples/curve_fitting.cc
index 8cbf3aa..c6b3a6b 100644
--- a/examples/curve_fitting.cc
+++ b/examples/curve_fitting.cc
@@ -27,6 +27,9 @@
 // POSSIBILITY OF SUCH DAMAGE.
 //
 // Author: sameeragarwal@google.com (Sameer Agarwal)
+//
+// This example fits the curve f(x;m,c) = e^(m * x + c) to data, minimizing the
+// sum squared loss.
 
 #include "ceres/ceres.h"
 #include "glog/logging.h"
diff --git a/examples/iteration_callback_example.cc b/examples/iteration_callback_example.cc
index 2e8a2fb..993565d 100644
--- a/examples/iteration_callback_example.cc
+++ b/examples/iteration_callback_example.cc
@@ -27,6 +27,11 @@
 // POSSIBILITY OF SUCH DAMAGE.
 //
 // Author: sameeragarwal@google.com (Sameer Agarwal)
+//
+// This example is a variant of curve_fitting.cc where we use an
+// IterationCallback to implement custom logging which prints out the values of
+// the parameter blocks as they evolve over the course of the optimization. This
+// also requires the use of Solver::Options::update_state_every_iteration.
 
 #include "ceres/ceres.h"
 #include "glog/logging.h"
diff --git a/examples/random.h b/examples/random.h
deleted file mode 100644
index dcd326a..0000000
--- a/examples/random.h
+++ /dev/null
@@ -1,62 +0,0 @@
-// Ceres Solver - A fast non-linear least squares minimizer
-// Copyright 2023 Google Inc. All rights reserved.
-// http://ceres-solver.org/
-//
-// Redistribution and use in source and binary forms, with or without
-// modification, are permitted provided that the following conditions are met:
-//
-// * Redistributions of source code must retain the above copyright notice,
-//   this list of conditions and the following disclaimer.
-// * Redistributions in binary form must reproduce the above copyright notice,
-//   this list of conditions and the following disclaimer in the documentation
-//   and/or other materials provided with the distribution.
-// * Neither the name of Google Inc. nor the names of its contributors may be
-//   used to endorse or promote products derived from this software without
-//   specific prior written permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-// ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
-// LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
-// CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
-// SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
-// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
-// CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
-// ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-// POSSIBILITY OF SUCH DAMAGE.
-//
-// Author: sameeragarwal@google.com (Sameer Agarwal)
-
-#ifndef CERES_EXAMPLES_RANDOM_H_
-#define CERES_EXAMPLES_RANDOM_H_
-
-#include <cmath>
-#include <cstdlib>
-
-namespace ceres::examples {
-
-// Return a random number sampled from a uniform distribution in the range
-// [0,1].
-inline double RandDouble() {
-  auto r = static_cast<double>(rand());
-  return r / RAND_MAX;
-}
-
-// Marsaglia Polar method for generation standard normal (pseudo)
-// random numbers http://en.wikipedia.org/wiki/Marsaglia_polar_method
-inline double RandNormal() {
-  double x1, x2, w;
-  do {
-    x1 = 2.0 * RandDouble() - 1.0;
-    x2 = 2.0 * RandDouble() - 1.0;
-    w = x1 * x1 + x2 * x2;
-  } while (w >= 1.0 || w == 0.0);
-
-  w = sqrt((-2.0 * log(w)) / w);
-  return x1 * w;
-}
-
-}  // namespace ceres::examples
-
-#endif  // CERES_EXAMPLES_RANDOM_H_
diff --git a/examples/robust_curve_fitting.cc b/examples/robust_curve_fitting.cc
index 915b619..8759a46 100644
--- a/examples/robust_curve_fitting.cc
+++ b/examples/robust_curve_fitting.cc
@@ -27,6 +27,12 @@
 // POSSIBILITY OF SUCH DAMAGE.
 //
 // Author: sameeragarwal@google.com (Sameer Agarwal)
+//
+// This example fits the curve f(x;m,c) = e^(m * x + c) to data. However unlike
+// the data in curve_fitting.cc, the data here has outliers in it, so minimizing
+// the sum squared loss will result in a bad fit. So this example illustrates
+// the use of a robust loss function (CauchyLoss) to reduce the influence of the
+// outliers on the fit.
 
 #include "ceres/ceres.h"
 #include "glog/logging.h"
diff --git a/examples/rosenbrock.cc b/examples/rosenbrock.cc
index 4a7e456..a382ccd 100644
--- a/examples/rosenbrock.cc
+++ b/examples/rosenbrock.cc
@@ -27,6 +27,10 @@
 // POSSIBILITY OF SUCH DAMAGE.
 //
 // Author: sameeragarwal@google.com (Sameer Agarwal)
+//
+// Example of minimizing the Rosenbrock function
+// (https://en.wikipedia.org/wiki/Rosenbrock_function) using
+// GradientProblemSolver using automatically computed derivatives.
 
 #include "ceres/ceres.h"
 #include "glog/logging.h"
diff --git a/examples/rosenbrock_analytic_diff.cc b/examples/rosenbrock_analytic_diff.cc
index 6a4e8b7..65e49eb 100644
--- a/examples/rosenbrock_analytic_diff.cc
+++ b/examples/rosenbrock_analytic_diff.cc
@@ -27,6 +27,10 @@
 // POSSIBILITY OF SUCH DAMAGE.
 //
 // Author: sameeragarwal@google.com (Sameer Agarwal)
+//
+// Example of minimizing the Rosenbrock function
+// (https://en.wikipedia.org/wiki/Rosenbrock_function) using
+// GradientProblemSolver using analytic derivatives.
 
 #include "ceres/ceres.h"
 #include "glog/logging.h"
diff --git a/examples/rosenbrock_numeric_diff.cc b/examples/rosenbrock_numeric_diff.cc
index ec5ca5d..a711b2f 100644
--- a/examples/rosenbrock_numeric_diff.cc
+++ b/examples/rosenbrock_numeric_diff.cc
@@ -27,6 +27,11 @@
 // POSSIBILITY OF SUCH DAMAGE.
 //
 // Author: sameeragarwal@google.com (Sameer Agarwal)
+//
+// Example of minimizing the Rosenbrock function
+// (https://en.wikipedia.org/wiki/Rosenbrock_function) using
+// GradientProblemSolver using derivatives computed using numeric
+// differentiation.
 
 #include "ceres/ceres.h"
 #include "glog/logging.h"