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From: Snapshot-Content-Location: https://www.johnrayworth.info/jsr/_IB_Common/_topic5AssessmentStatements/5.1.4.php Subject: 5.1.4 Date: Sun, 24 Sep 2023 16:30:12 -0000 MIME-Version: 1.0 Content-Type: multipart/related; type=“text/html”; boundary=“—-MultipartBoundary–bxTGzBwZzRNVN7qOBpueGLXo9eOxQw4Q9HuTlLnKWR—-” ——MultipartBoundary–bxTGzBwZzRNVN7qOBpueGLXo9eOxQw4Q9HuTlLnKWR—- Content-Type: text/html Content-ID: [email protected] Content-Transfer-Encoding: quoted-printable Content-Location: https://www.johnrayworth.info/jsr/_IB_Common/_topic5AssessmentStatements/5.1.4.php <!DOCTYPE html PUBLIC “-//W3C//DTD XHTML 1.0 Transitional//EN” “http://www.= w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd”><html xmlns=3D“http://www.w3.= org/1999/xhtml”> <meta http-equiv=3D“Content-Type” content=3D“text/htm= l; charset=3DUTF-8”><link rel=3D“stylesheet” type=3D“text/css” href=3D“cid:= [email protected]” /> 5.1.4 <link href=3D“https://www.johnrayworth.info/jsr/cssStyleSheets/mainCSSTempl= ate.css” rel=3D“stylesheet” type=3D“text/css”> <link href=3D“https://www.johnrayworth.info/jsr/cssStyleSheets/forSideBarEt= c.css” rel=3D“stylesheet” type=3D“text/css”> <a href=3D“https://www.johnrayworth.info/js= r/logout1.php”>Logout <div class=3D“sidenav=”> Home <a href=3D"https://www.johnrayworth.info/jsr/_IB_Common/_topic5FromSyl= labus.php“>Topic 5 <a href=3D”https://www.johnrayworth.info/jsr/_IB_Common/_topic5Assessm= entStatements/5.1.0.php“>Last <a href=3D”https://www.johnrayworth.info/jsr/_IB_Common/_topic5Assessm= entStatements/5.1.5.php">Next =09 — Abstract data structures — <div class=3D"roundedCornerDiv"> 5.1.4 Describe the characteristics of a two-dimensional array. Teaching Note: LINK One-dimensional arrays and basic algorithms. Sample Question: sdfsdfsf JSR Notes: Important set-up and context of these notes Since this is now HL material, with these notes, we are first going to g= o back and take a much more in-depth look at arrays in general. We will do = that here in 5.1.4. Then, in <a href=3D"https://www.johnrayworth.info/jsr/= _IB_Common/_topic5AssessmentStatements/5.1.5.php">5.1.5 we will focus i= n on 2D arrays. But in terms of this assessment statement in and of itself, the main th= ing in the description is as follows: Characteristics of 2D Arrays The main characteristic of a 2d array is that it stores an array= of arrays; i.e. each element in an array is itself a multiple ite= m array. So in the example of a table, there are multiple rows, but each ro= ws is itself an array (an array of column elements). ****Now back to Arrays in general, but to a deeper level than To= pic 4**** Arrays Data Types vs. Data Structures We have alreasy looked into the nature of objects, and we have also look= ed at Java primitive data types, such as ints, booleans, and doubles. We br= iefly got introduced to Collections. Now we look at our first data stru= cture, the array. To get straight the difference between a primitive = data type, an object, and a data structure, consider the following definiti= ons. primitive data type - a certain basic type of = data defined not only by how it is used (for example, as a character versus= as a real number), but also on how much memory it occupies (a 16 bit char = versus a 64 bit double). Examples: long, float, char. object - a reference to a specific instance of= a certain class made up of certain data and methods that act on that data.= Examples: BufferedReader br, Scanner snr, TicketingAccount t, System.i= n. data structure - a group of similar data or ob= jects organized somehow. Examples: arrays, linked lists, binary search = trees (all of which we cover in the course.) collection - a data structure, i.e. a group of= similar data or objects, which can behave in a dynamic way; it can grow o= r shrink in size. As with all definitions, they will only be perfectly clear after having = gained experience “on the ground” with them. Arrays So, our first data structure we look at in detail is arrays. Do note in fact, that we have seen arrays right from day 1 when we used= the args array found as an argument of all main methods: public static void main(String [] args) You can think of an array as a container. It is a container that stores = many things all of the same type. (In some programming languages you can ha= ve arrays which contain elements of various types, but not in Java.) So a s= imple analogy would be a carton of eggs. The carton itself is the array, th= e eggs are what make up the content of the carton. The individual pieces of= content within the array are most properly called as “elements</st= rong>”. So a carton of eggs is an array, with 12 egg elements. Each egg wou= ld be identified by its number, starting with 0; so egg-0, egg-1, egg-2, an= d so on, up to egg-11. <img src=3D"https://www.johnrayworth.info/jsr/_IB_Commo= n/Java-Revolution/_Images/Array-as-Container.jpg" width=3D“444” height=3D“5= 25”> ————————————————————————= ——————————————- Declaring Arrays Here is how we declare an array: (We could use any type, but for the exa= mple we’ll use int.) int [] myIntArray =3D new int [5]; (The way you shold read the above declaration is “int array myIntAr= ray is asssigned a new int array of size five”.) What this does is finds a place in memory where there is 5 x 32 bits ava= ilable (that would be a total of 160 available bits). And that block of ava= ilable memory would be referred to as “myIntArray” until the array was garb= age collected. Note that the way particular elements are able to be found is due to the= fact that all of the elements of the array are next to each other. The ter= m we use to describe this is “contiguous”. We say= that the elements of an array are all located next to each other in a = contiguous part of RAM memory big enough to accomodate them. <img src=3D"https://www.johnrayworth.info/jsr/_IB_Common/Java-Revoluti= on/_Images/Array-Declaration-Diagram.jpg" width=3D“576” height=3D“386”> ————————————————————————= ——————————————- Initializing Arrays ***It is very important to realize that upon declaration of the array t= he above way, only default values have been assigned to each element of the= array; in the case of ints, they are initialized to 0. And though this isn= ’t such a big deal, later on in the course when we are making arrays of our= own objects, this will be a big deal. So it’s a good habit to get= into to initialize all the elements ourselves, immediately after = declaring an array. So: int [] myIntArray =3D new int[5]; myIntArray[0] =3D -999; myIntArray[1] =3D -999; myIntArray[2] =3D -999; myIntArray[3] =3D -999; myIntArray[4] =3D -999; <img src=3D"https://www.johnrayworth.info/jsr/_IB_Common/Java-Revolution= /_Images/Array-Declaration-Diagram-2.jpg" width=3D“576” height=3D“386”> So, above, the 0th element of the array is assigned the value -999, and = the “1st” element of the array is assigned -999, and so on. Do note that wi= th 0 numbering, the elements are numbered 0 to 11, and the length, done wit= h traditional numbering, is 12. This can cause confusion and errors, so try= to remember this from the start. (The one thing that you may wonder is if there is a way to not have to c= opy and paste so much; it’s not too bad if there are only 12 elements, but = what if there were 12,000,000. And, yes, there is a way, with looping struc= tures that we will look at later on.) Then, as a program actually uses the array, the values will take on more= meaningful, non-default, values. Let’s say, for example, this was from a p= rogram that kept a person’s five favorite integers. (How ’bout that for a l= ame example…) System.out.println(“What is your most favourite integer?) myIntArray[0] =3D br.readLine(); System.out.println(”What is your second most favourite integer?) myIntArray[1] =3D br.readLine(); etc. <img src=3D"https://www.johnrayworth.info/jsr/_IB_Common/Java-Revolution= /_Images/Array-Declaration-Diagram-1A.jpg" width=3D“576” height=3D“386”></p= > ————————————————————————= ——————————————- Here’s an actual full Java example (though at this point it won’t be able to be too useful) 1 import java.io.*; 2=20 3 pub= lic class ForArraysNotes { 4 public static void main(String[] args) { 5 try{ 6 int [] gradesArray =3D ne= w int[3]; 7 gradesArray[0] =3D -999; 8 gradesArray[1] =3D -999; 9 gradesArray[2] =3D -999; 10 BufferedReader br =3D new BufferedReader(new InputStreamReader(System.in)); 11 System.out.println("What is the grade you= got in Reading?"); 12 gradesArray[0] =3D Intege= r.parseInt(br.readLine()); 13 System.out.println("What is the grade you= got in Writing?"); 14 gradesArray[1] =3D Intege= r.parseInt(br.readLine()); 15 System.out.println("What is the grade you= got in Arithetic?"); 16 gradesArray[2] =3D Intege= r.parseInt(br.readLine()); 17 =20 18 double averageGrade =3D (gradesArray[0] + gradesArray[1] + = gradesArray[2]) / 3; 19 System.out.println("The average grade you= got in \"The T= hree 'R's\"" + " was " + averageGrade); 20 } 21 catch(Exception e){ 22 System.out.println(e.getM= essage()); 23 } 24 } 25 } The output for this would be: What is the grade you got in Reading? 90 What is the grade you got in Writing? 80 What is the grade you got in Arithmetic? 100 The average grade you got in “The Three R’s” was 90 ————————————————————————= ——————————————- How Elements of An Array Are Located The idea is that the computer knows fundamental two things about the arr= ay when you declare it: how big it is to be, and the data type of the items= it will store. When it finds enough space to accommodate this request, it = will record, as the array object variable, the address of where the array w= ill start. So from that point on, to find any particular element of the array in me= mory, it simply takes the starting address, and adds on the following numbe= r of bits: the element number multiplied by the number of bits of the data = type being held. So if an integer array called intArr started at the hexadecimal address = AAAA0000, the second element of it (i.e. intArr[2]) would start exactly 64 = bits (2 x 32) on from AAAA0000, which in hexadecimal is address AAAA0040. = (By the way, that’s becasue the second numeric place in hexadecimal is = the 16 ^ 1 place, or the 16s, and 4 groups of 16 is 64 - more on this later= on in the course.) Expressed as a formula, we locate a particular element in an array as fo= llows: The array’s address + (the element number * size / element) ————————————————————————= ——————————————- Index Out of Bounds Error One thing to remember, is to make sure to only try to access an array el= ement that actually exists. For starters, there could never be an element n= amed with a negative sign. So, for example, in the above program, gradesArr= ay[-2] does not exist. But neither does gradesArray[3]. This is a very comm= on error, in which you are trying to access the last element of the array, = and you forget that arrays are numbered starting at 0. Trying to access an array element that does not exist is only caught whe= n running the program - no red squigglies will appear while you are coding.= An error that is picked up only when a program is run is called a “<st= rong>runtime error”. And this particular kind of runtime erro= r is called “index out of bounds error”. ————————————————————————= ——————————————- Alternative Way of Declaring an Array An array can be declared and initialized</stron= g> all in one line using braces, like as follows: int[] myOtherIntArray =3D {2, 4, 23, 343, 8978}; You’ll note that when it is done this way, there is no need to declare t= he number of elements, because it’s already obvious. And note that we would still access the elments of the array the same way= , so, for example, myOtherIntArray[3] is 343. And there are actually Two Ways to name arrays the Non-Braces Wa= y (This is just here for a sense of completion - you don’t really need= to be aware of this for IB CS, but looking in other places like on the Int= ernet, you may come across this.) There are actually two ways to declare arrays the non-braces way; the na= me and the [] brackets can be switched around. Both of the following are sy= ntactically correct: int [ ] myIntArray =3D new int[10] and int myIntArray [ ] =3D new int[10]; ————————————————————————= ——————————————- The Length Attribute of Arrays All arrays have a length attribute, which can be accessed using= dot notation. So from the above example, if we went: System.out.println(“The length of the array is” + myOtherIntAray.leng= th); we would get as output: The length of the array is 5 ***Note that the following line of code will always yeild an index out of= bounds error (as discussed above), since the length attribute uses convent= ional numbering starting at 1, and the elements of an array are numbered us= ing traditional computer numbering starting with 0: System.out.printn(arr[arr.length]); // INDEX OUT OF BOUNDS ERROR. Whereas this line would be fine: System.out.println(arr[arr.length - 1]); <p></p>=09 ——MultipartBoundary–bxTGzBwZzRNVN7qOBpueGLXo9eOxQw4Q9HuTlLnKWR—- Content-Type: text/css Content-Transfer-Encoding: quoted-printable Content-Location: cid:[email protected] @charset “utf-8”; [data-tts-block-id].tts-active { background: rgba(206, 225, 255, 0.9) !impo= rtant; } [data-tts-sentence-id].tts-active { background: rgba(0, 89, 191, 0.7) !impo= rtant; } ——MultipartBoundary–bxTGzBwZzRNVN7qOBpueGLXo9eOxQw4Q9HuTlLnKWR—- Content-Type: text/css Content-Transfer-Encoding: quoted-printable Content-Location: https://www.johnrayworth.info/jsr/cssStyleSheets/mainCSSTemplate.css @charset “utf-8”; body { font-family: “Helvetica Neue”, Helvetica, Arial, sans-serif; font-si= ze: 16px; line-height: 1.5; color: rgb(38, 37, 37); text-align: left; backg= round-color: rgb(236, 236, 236); } li { margin: 7px 0px; } a { text-decoration: underline; color: rgb(0, 0, 255); } pre { color: rgb(0, 0, 0); background-color: 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