$60-80$: Extending the previous work with spring based $($Hooke$$s

Law$)$ real$-$time dynamic simulation to self$-$sort the data

representations, thereby showing trading groups and relationships

as part of a resolved un$-$directed graph. Spring Based Simulation

$$ The simulation defined within this assignment

is a simple network of springs; evaluated once

for each of the simulation progressions.

$$ These use the basic principles of Hooke$$s law

$($spring force derived from extension$)$ and

Newton$$s Laws of Motion. Spring Algorithm $(1)$

$$ For each body $($loop through the nodes$).$ Reset

the resultant force $($f$)$ to zero

Spring Algorithm $(2)$

$$ Loop through each of the arcs.

$$ Calculate the direction vector between the two nodes forming the arc

$($d$)$ as a normalised direction vector and the distance between the two

nodes $($l$).$

$$ Calculate the spring force $($Hooke$$s Law $=$

$)$ as a vector and accumulate these within the

nodes affected $($countries at either end$).$

$$ Calculate the vector force $($f$)$ for each node $($remember one of the

nodes will have a positive force and the other will have a negative

force $$ according Newton$$s $3$rd law of motion$)$ but multiplying the force

$($scalar$)+-$f by the direction vector $($d$).$

$$ Add the calculated for vectors to their resultant force vectors for each

respective node.

Spring Algorithm $(3)$

$$ Loop through each of the nodes $($countries$)$ to:

$$ Calculate the acceleration due to the spring force $($vector$)$: Newton$$s

Second Law of Motion $=$ where f is the node$$s resultant force

vector calculated in the previous loop through the arcs.

$$ Calculate the motion of the body based on its velocity, the time frame

for the motion and the acceleration: General Equation of Motion

$($newton$$s $1$st law of motion$)$

$$ Add the motion to the current body position: $=+$

$$ Calculate the new velocity of the body $=/$

$$ Apply damping $=(1\mathrm{.}0$ $0$

$1)$

$$ Calculate kinetic energy for body and accumulate to global record

$($optional$)$: write the easy coding for c$++.$ #include #include #include #include #include #include #include #include #include #include #include #include #include #include "raaConstants.h$"$ #include "raaParse.h$"$ #include "raaControl.h$"//$ NOTES $//$ look should look through the libraries and additional files I have provided to familarise yourselves with the functionallity and code. $//$ The data is loaded into the data structure, managed by the linked list library, and defined in the raaSystem library. $//$ You will need to expand the definitions for raaNode and raaArc in the raaSystem library to include additional attributes for the siumulation process $//$ If you wish to implement the mouse selection part of the assignment you may find the camProject and camUnProject functions usefull $//$ core system global data raaCameraInput g$\_$Input; $//$ structure to hadle input to the camera comming from mouse$/$keyboard events raaCamera g$\_$Camera; $//$ structure holding the camera position and orientation attributes raaSystem g$\_$System; $//$ data structure holding the imported graph of data $-$ you may need to modify and extend this to support your functionallity raaControl g$\_$Control; $//$ set of flag controls used in my implmentation to retain state of key actions int layoutView $=1$; float cvY$1=0\mathrm{.}0$f$,$ cvY$2=0\mathrm{.}0$f$,$ cvY$3=0\mathrm{.}0$f$,$ cvY$4=0\mathrm{.}0$f$,$ cvY$5=0\mathrm{.}0$f$,$ cvY$6=0\mathrm{.}0$f; $//$Stores the Y value of continents float wvY$1=0\mathrm{.}0$f$,$ wvY$2=0\mathrm{.}0$f$,$ wvY$3=0\mathrm{.}0$f; $//$Stores the Y value of the worlds float upperNode $=45\mathrm{.}0$; $//$A value assigned to a variable to structure the nodes aboev each other float newPosition$[3]$; $//$An array to store the new node position int countTimes $=0$; $//$ global var: parameter name for the file to load const static char csg$\_$acFileParam$[]=\{"-$input"$\}$; $//$ global var: file to load data from char g$\_$acFile$[256]$; $//$ core functions $->$ reduce to just the ones needed by glut as pointers to functions to fulfill tasks void display$()$; $//$ The rendering function. This is called once for each frame and you should put rendering code here void idle$()$; $//$ The idle function is called at least once per frame and is where all simulation and operational code should be placed void reshape$($int iWidth, int iHeight$)$; $//$ called each time the window is moved or resived void keyboard$($unsigned char c$,$ int iXPos, int iYPos$)$; $//$ called for each keyboard press with a standard ascii key void keyboardUp$($unsigned char c$,$ int iXPos, int iYPos$)$; $//$ called for each keyboard release with a standard ascii key void sKeyboard$($int iC$,$ int iXPos, int iYPos$)$; $//$ called for each keyboard press with a non ascii key $($eg shift$)$ void sKeyboardUp$($int iC$,$ int iXPos, int iYPos$)$; must be incldue in this coding. please give me the easy solution?