7 files changed, 1569 insertions, 1562 deletions
diff --git a/worksheets/README.md b/worksheets/README.md
index d56eece..fd05063 100644
--- a/worksheets/README.md
+++ b/worksheets/README.md
@@ -1 +1 @@
-This directory is for "markdown" (.md) files that you will edit for the worksheet portion of each assignment.
+This directory is for "markdown" (.md) files that you will edit for the worksheet portion of each assignment.
diff --git a/worksheets/a1_textrain.md b/worksheets/a1_textrain.md
index 6ce1142..834f2b1 100644
--- a/worksheets/a1_textrain.md
+++ b/worksheets/a1_textrain.md
@@ -1,80 +1,82 @@
-# Assignment 1 (Text Rain) Worksheet
-
-For the conceptual worksheets in this course, we'll provide a Markdown
-template from the shared-upstream repository. As described in the Canvas
-assignment handouts, you'll pull each Markdown template into your repository,
-directly edit your local copy with your answers, and commit and push your
-answers to GitHub in your `worksheets` folder of your repository. If you're
-unfamiliar with Markdown syntax, [check out this lovely guide provided by
-GitHub](https://guides.github.com/features/mastering-markdown/) before you get
-started.
-
-_Do not make a copy of the provided Markdown template and submit that instead._
-Our grading scripts will be looking for these modified files within your
-`worksheets` folder of your repository. Do not change the filenames, simply
-modify the contents.
-
-## Background
-
-By default, Processing uses the integer-based `0-255` convention to represent
-colors. For instance, bright, full-saturation red is represented as
-`color(255, 0, 0)`.  Processing also supports grayscale colors; black is
-`color(0)` and white is `color(255)`. You may wish to look at the [color class
-documentation](https://processing.org/reference/color_.html) and/or the
-[tutorial explaining color in
-Processing](https://processing.org/tutorials/color/).
-
-Here are a couple of questions to get you thinking about how to work with
-pixel arrays and colors in this format.  Note:  These are very brief questions
-in this first worksheet, so this may not take you long at all.  That's ok!
-
-
-## Q1: Indexing
-
-As mentioned in the assignment handout, accessing/setting pixel data via
-Processing's `get()` and `set()` routines is a bit easier to code, but it's
-much slower than directly accessing/changing a [PImage
-object's](https://processing.org/reference/PImage.html) `pixels[]` array.
-Processing stores a 2D image in this 1D array, so getting the proper pixel out
-requires a little additional math.
-
-In the code block below, write the equation for obtaining the index in the 1D
-array from a (row, column) in the 2D pixels array. Keep in mind you can use
-information from `inputImg` to help you.
-
-```
-PImage inputImg = loadImage("test.jpg");
-
-// your code should work for any valid values for row and column, we've 
-// randomly picked the values (2, 2) here as an exmaple.
-int row = 2;
-int column = 2;
-
-// write your answer in terms of the row and column defined above
-int index1D = /* --- Fill this in --- */;
-```
-
-
-## Q2: Thresholding
-
-The image processing technique known as *thresholding* will be useful while
-creating your Text Rain. During the thresholding operation, if a pixel's
-grayscale value is less than `threshold`, then it becomes black. If the
-value is greater than or equal to `threshold`, it becomes white. In the example below,
-assume the image has already been converted to grayscale.  This means the
-red, green, and blue channels are all equal.  So, you can get the grayscale
-value by accessing any one of the color channels red, green, or blue.
-
-In the code block below, write a Java code snippet for thresholding one pixel
-(`inputPixel`) to black or white.
-
-```java
-final int threshold = 128;
-
-// Returns: thresholded color (black or white)
-color thresholdPixel(color inputPixel) {
-
-  /* --- Fill this in --- */
-
-}
-```
+# Assignment 1 (Text Rain) Worksheet
+
+For the conceptual worksheets in this course, we'll provide a Markdown
+template from the shared-upstream repository. As described in the Canvas
+assignment handouts, you'll pull each Markdown template into your repository,
+directly edit your local copy with your answers, and commit and push your
+answers to GitHub in your `worksheets` folder of your repository. If you're
+unfamiliar with Markdown syntax, [check out this lovely guide provided by
+GitHub](https://guides.github.com/features/mastering-markdown/) before you get
+started.
+
+_Do not make a copy of the provided Markdown template and submit that instead._
+Our grading scripts will be looking for these modified files within your
+`worksheets` folder of your repository. Do not change the filenames, simply
+modify the contents.
+
+## Background
+
+By default, Processing uses the integer-based `0-255` convention to represent
+colors. For instance, bright, full-saturation red is represented as
+`color(255, 0, 0)`.  Processing also supports grayscale colors; black is
+`color(0)` and white is `color(255)`. You may wish to look at the [color class
+documentation](https://processing.org/reference/color_.html) and/or the
+[tutorial explaining color in
+Processing](https://processing.org/tutorials/color/).
+
+Here are a couple of questions to get you thinking about how to work with
+pixel arrays and colors in this format.  Note:  These are very brief questions
+in this first worksheet, so this may not take you long at all.  That's ok!
+
+
+## Q1: Indexing
+
+As mentioned in the assignment handout, accessing/setting pixel data via
+Processing's `get()` and `set()` routines is a bit easier to code, but it's
+much slower than directly accessing/changing a [PImage
+object's](https://processing.org/reference/PImage.html) `pixels[]` array.
+Processing stores a 2D image in this 1D array, so getting the proper pixel out
+requires a little additional math.
+
+In the code block below, write the equation for obtaining the index in the 1D
+array from a (row, column) in the 2D pixels array. Keep in mind you can use
+information from `inputImg` to help you.
+
+```java
+PImage inputImg = loadImage("test.jpg");
+
+// your code should work for any valid values for row and column, we've 
+// randomly picked the values (2, 2) here as an exmaple.
+int row = 2;
+int column = 2;
+
+// write your answer in terms of the row and column defined above
+int index1D = row * inputImg.width + column;
+```
+
+
+## Q2: Thresholding
+
+The image processing technique known as *thresholding* will be useful while
+creating your Text Rain. During the thresholding operation, if a pixel's
+grayscale value is less than `threshold`, then it becomes black. If the
+value is greater than or equal to `threshold`, it becomes white. In the example below,
+assume the image has already been converted to grayscale.  This means the
+red, green, and blue channels are all equal.  So, you can get the grayscale
+value by accessing any one of the color channels red, green, or blue.
+
+In the code block below, write a Java code snippet for thresholding one pixel
+(`inputPixel`) to black or white.
+
+```java
+final int threshold = 128;
+
+// Returns: thresholded color (black or white)
+color thresholdPixel(color inputPixel) {
+  if (blue(inputPixel) < threshold) {
+    return color(0);
+  } else {
+    return color(255);
+  }
+}
+```
diff --git a/worksheets/a2_carsoccer.md b/worksheets/a2_carsoccer.md
index 95170c4..da09ad0 100644
--- a/worksheets/a2_carsoccer.md
+++ b/worksheets/a2_carsoccer.md
@@ -1,156 +1,161 @@
-# Assignment 2 (Car Soccer) Worksheet
-
-## Definitions
-
-Use the following C++ style pseudocode definitions for Q1 and Q2:
-
-```
-/* Use this Point3 class to store x,y,z values that define a mathematical
- * point (i.e., a position) in 3-space.
- */
-class Point3 {
-    float x;
-    float y;
-    float z;
-};
-
-/* Use this Vector3 class to store x,y,z values that define a vector in
- * 3-space.  Remember, mathematically, a vector is quite different than
- * a point.  It has a direction and a magnitude but no position!
- * For vectors it is often useful to be able to compute the length,
- * also known as the magnitude, of the vector.
- */
-class Vector3  {
-    float x;
-    float y;
-    float z;
-    
-    // returns the length (i.e., magnitude) of the vector
-    float Length() {
-        return sqrt(x*x + y*y + z*z);
-    }
-};
-
-
-/* In C++ and other languages we can define operators so we can use
- * the +, -, =, *, / operations on custom classes.  Like many graphics
- * libraries, this is what MinGfx does to make it easy to work with
- * points and vectors in code.  For example, recall from class that
- * if we have a point A (Coffman Union) and we add a vector (direction
- * and magnitude) to this, we arrive at a new point B (e.g., Murphy Hall).
- * Conceptually, a point + a vector = a new point.  Mathematically, it
- * does not make sense to add two points, but it does make sense to 
- * subtract two points.  The "difference" between the Murphy and Coffman 
- * points is a vector that tells us the direction and magnitude we would
- * need to walk from Coffman to get to Murphy.  Here's how we can write
- * that in code using Point3, Vector3, and operators like + and -.
- *
- *   Point3 murphy = Point3(5, 8, 0);
- *   Point3 coffman = Point3(4, 6, 0);
- *   Vector3 toMurphy = murphy - coffman; 
- *
- *   // or, if we were given coffman and toMurphy we could find
- *   // the point "murphy" by starting at point "coffman" and adding
- *   // the vector "toMurphy".
- *   Point3 murphy2 = coffman + toMurhpy; 
- *
- * The code that defines these opertors looks something like this:
-*/
-
-// a point + a vector = a new point
-Point3 operator+(Point3 p, Vector3 v) { 
-   return Point3(p.x + v.x, p.y + v.y, p.z + v.z); 
-}
-
-// a point - a point = a vector 
-// the dir and magnitude needed to go from point point B to point A
-Vector3 operator-(Point3 A, Point3 B) {
-    return Vector3(A.x - B.x, A.y - B.y, A.z - B.z);
-}
-
-// a vector * a scalar = a new vector with scaled magnitude
-Vector3 operator*(Vector3 v, float s) {
-    return Vector3(v.x * s, v.y * s, v.z * s);
-}
-
-
-
-/* Given all these tools, we can define additional classes for geometries
- * that are useful in graphics.  For example, we can represent a sphere
- * using a Point3 for the position of the center point of the sphere and
- * a float for the sphere's radius.
- */
-class Sphere {
-    Point3 position;
-    float radius;
-};
-```
-
-## Q1: Eulerian Integration
-
-In computer graphics and animation, there are many forms of integration that
-are used. For simple physics models like we have in Car Soccer, Eulerian
-Integration is good enough. Eulerian Integration uses velocity and position
-information from the current frame, and the elapsed time to produce a position
-for the next frame. Write pseudocode for determining the position of the sphere in the
-next frame:
-
-*Hint: think back to the motion equations from introductory physics. Or, look
-around in the assignment handout.*
-
-```
-Vector3 velocity = Vector3(1.0, 1.0, 1.0);
-float dt = 20; // milliseconds
-
-Sphere s = Sphere {
-    position: Point3(0.0, 0.0, 0.0),
-    radius: 5.0,
-};
-
-s.position = /* --- Fill in the next frame position computation here --- */
-```
-
-
-
-## Q2: Sphere Intersection
-
-In this assignment, you will need to test intersections between spheres and
-other objects. Using the information contained within each sphere class,
-write pseudocode to determine whether or not two spheres are intersecting
-(which you can use for car/ball intersections):
-
-```
-bool sphereIntersection(Sphere s1, Sphere s2) {
-    /* --- Fill in your sphere intersection code here --- */
-    
-
-}
-```
-
-To check that your intersections work, try working through the math by hand for the
-following two cases.  You can write out the math on a scrap piece of paper.   You do
-not need to include that detail in this worksheet.  But, do change the lines below where
-it says "Fill in expected output" to indicate whether True or False would be returned:
-
-```
-Sphere s1 = Sphere {
-    position: Point3(0.0, 1.0, 0.0),
-    radius: 1.0,
-};
-
-Sphere s2 = Sphere {
-    position: Point3(3.0, 0.0, 0.0),
-    radius: 1.0,
-};
-
-Sphere s3 = Sphere {
-    position: Point3(1.0, 1.0, 0.0),
-    radius: 2.0,
-};
-
-print(sphereIntersection(s1, s2));
-/* --- Fill in expected output (True or False) --- */
-
-print(sphereIntersection(s1, s3));
-/* --- Fill in expected output (True or False) --- */
-```
+# Assignment 2 (Car Soccer) Worksheet
+
+## Definitions
+
+Use the following C++ style pseudocode definitions for Q1 and Q2:
+
+```cpp
+/* Use this Point3 class to store x,y,z values that define a mathematical
+ * point (i.e., a position) in 3-space.
+ */
+class Point3 {
+    float x;
+    float y;
+    float z;
+};
+
+/* Use this Vector3 class to store x,y,z values that define a vector in
+ * 3-space.  Remember, mathematically, a vector is quite different than
+ * a point.  It has a direction and a magnitude but no position!
+ * For vectors it is often useful to be able to compute the length,
+ * also known as the magnitude, of the vector.
+ */
+class Vector3  {
+    float x;
+    float y;
+    float z;
+    
+    // returns the length (i.e., magnitude) of the vector
+    float Length() {
+        return sqrt(x*x + y*y + z*z);
+    }
+};
+
+
+/* In C++ and other languages we can define operators so we can use
+ * the +, -, =, *, / operations on custom classes.  Like many graphics
+ * libraries, this is what MinGfx does to make it easy to work with
+ * points and vectors in code.  For example, recall from class that
+ * if we have a point A (Coffman Union) and we add a vector (direction
+ * and magnitude) to this, we arrive at a new point B (e.g., Murphy Hall).
+ * Conceptually, a point + a vector = a new point.  Mathematically, it
+ * does not make sense to add two points, but it does make sense to 
+ * subtract two points.  The "difference" between the Murphy and Coffman 
+ * points is a vector that tells us the direction and magnitude we would
+ * need to walk from Coffman to get to Murphy.  Here's how we can write
+ * that in code using Point3, Vector3, and operators like + and -.
+ *
+ *   Point3 murphy = Point3(5, 8, 0);
+ *   Point3 coffman = Point3(4, 6, 0);
+ *   Vector3 toMurphy = murphy - coffman; 
+ *
+ *   // or, if we were given coffman and toMurphy we could find
+ *   // the point "murphy" by starting at point "coffman" and adding
+ *   // the vector "toMurphy".
+ *   Point3 murphy2 = coffman + toMurhpy; 
+ *
+ * The code that defines these opertors looks something like this:
+*/
+
+// a point + a vector = a new point
+Point3 operator+(Point3 p, Vector3 v) { 
+   return Point3(p.x + v.x, p.y + v.y, p.z + v.z); 
+}
+
+// a point - a point = a vector 
+// the dir and magnitude needed to go from point point B to point A
+Vector3 operator-(Point3 A, Point3 B) {
+    return Vector3(A.x - B.x, A.y - B.y, A.z - B.z);
+}
+
+// a vector * a scalar = a new vector with scaled magnitude
+Vector3 operator*(Vector3 v, float s) {
+    return Vector3(v.x * s, v.y * s, v.z * s);
+}
+
+
+
+/* Given all these tools, we can define additional classes for geometries
+ * that are useful in graphics.  For example, we can represent a sphere
+ * using a Point3 for the position of the center point of the sphere and
+ * a float for the sphere's radius.
+ */
+class Sphere {
+    Point3 position;
+    float radius;
+};
+```
+
+## Q1: Eulerian Integration
+
+In computer graphics and animation, there are many forms of integration that
+are used. For simple physics models like we have in Car Soccer, Eulerian
+Integration is good enough. Eulerian Integration uses velocity and position
+information from the current frame, and the elapsed time to produce a position
+for the next frame. Write pseudocode for determining the position of the sphere in the
+next frame:
+
+*Hint: think back to the motion equations from introductory physics. Or, look
+around in the assignment handout.*
+
+```cpp
+Vector3 velocity = Vector3(1.0, 1.0, 1.0);
+float dt = 20; // milliseconds
+
+Sphere s = Sphere {
+    position: Point3(0.0, 0.0, 0.0),
+    radius: 5.0,
+};
+
+s.position = operator+(s.position, operator*(velocity,t/1000));
+//That's wrong if the velocity is per ms.
+```
+
+
+
+## Q2: Sphere Intersection
+
+In this assignment, you will need to test intersections between spheres and
+other objects. Using the information contained within each sphere class,
+write pseudocode to determine whether or not two spheres are intersecting
+(which you can use for car/ball intersections):
+
+```cpp
+bool sphereIntersection(Sphere s1, Sphere s2) {
+    /* --- Fill in your sphere intersection code here --- */
+    Vector3 toSphere1 = abs(operator-(s1.position, s2.position));
+    //abs is the absolute value of a vector components
+    float distance = toSphere1.Length();
+    return distance < (s1.radius + s2.radius);
+}
+```
+
+To check that your intersections work, try working through the math by hand for the
+following two cases.  You can write out the math on a scrap piece of paper.   You do
+not need to include that detail in this worksheet.  But, do change the lines below where
+it says "Fill in expected output" to indicate whether True or False would be returned:
+
+```cpp
+Sphere s1 = Sphere {
+    position: Point3(0.0, 1.0, 0.0),
+    radius: 1.0,
+};
+
+Sphere s2 = Sphere {
+    position: Point3(3.0, 0.0, 0.0),
+    radius: 1.0,
+};
+
+Sphere s3 = Sphere {
+    position: Point3(1.0, 1.0, 0.0),
+    radius: 2.0,
+};
+
+print(sphereIntersection(s1, s2));
+/* --- Fill in expected output (True or False) --- */
+false
+
+print(sphereIntersection(s1, s3));
+/* --- Fill in expected output (True or False) --- */
+true
+```
diff --git a/worksheets/img/house.svg b/worksheets/img/house.svg
index 4cfce24..323ca9e 100644
--- a/worksheets/img/house.svg
+++ b/worksheets/img/house.svg
@@ -1,207 +1,207 @@
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-   xmlns:dc="http://purl.org/dc/elements/1.1/"
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-   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
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-   viewBox="0 0 100.2325 108.12"
-   version="1.1"
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-   inkscape:version="0.92.4 5da689c313, 2019-01-14"
-   sodipodi:docname="house.svg"
-   inkscape:export-filename="/home/bridger/4611/instructor-repo/worksheets/img/house.png"
-   inkscape:export-xdpi="150"
-   inkscape:export-ydpi="150">
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diff --git a/worksheets/img/sky_sphere.svg b/worksheets/img/sky_sphere.svg
index 7496b26..53a1306 100644
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