//Checks if atleast 3 inputs in a single dimention have been inputted
//Checks if dimentions active have atleast 2 dimentiosn entered (min amount for calculation)
//Returns true or false
private static bool IsValid(ref newParticle values, int dimentions)
{
Debug.Log("Is valid ran");
//Bool based on if the program has atleast 1 dimention with three inputs
int[] numberOfInputs = values.numberOfInputs;
bool minThreeInputs = numberOfInputs[0] >= 3 || numberOfInputs[1] >= 3 || numberOfInputs[2] >= 3;
Debug.Log("Is valid ran");
//Bool if all dimentions have 3 inputs
bool allAboveThree = getAboveThree(values, dimentions);
//Gets the number of inputs above 2 from all dimentions active
int numberAboveTwo = GetNumberAboveN(values, 2, dimentions);
Debug.Log("Is valid ran");
//Must have atleast 3 inputs and other dimentions have more than 2 inputs OR if all dimentions have 3 inputs
Debug.Log("Isvalid done");
if ((minThreeInputs == true && numberAboveTwo == dimentions) || allAboveThree == true)
{
return(true);
}
else
{
return(false);
}
}
//Updates values of the UI with the values inside of the Particle parameter given in each dimention
public void UpdateUI(newParticle values)
{
S_x.text = values.displacement[0].ToString();
S_y.text = values.displacement[1].ToString();
S_z.text = values.displacement[2].ToString();
U_x.text = values.initialVelocity[0].ToString();
U_y.text = values.initialVelocity[1].ToString();
U_z.text = values.initialVelocity[2].ToString();
V_x.text = values.currentVelocity[0].ToString();
V_y.text = values.currentVelocity[1].ToString();
V_z.text = values.currentVelocity[2].ToString();
A_x.text = values.acceleration[0].ToString();
A_y.text = values.acceleration[1].ToString();
A_z.text = values.acceleration[2].ToString();
Time.text = values.motionTime.ToString();
R_x.text = values.initialPosition[0].ToString();
R_y.text = values.initialPosition[1].ToString();
R_z.text = values.initialPosition[2].ToString();
Radius.text = values.diameter.ToString();
}
//Calculates and assigns values for non-suvat inputs
private void MiscInfomation()
{
newParticle particle = newParticle.ParticleInstances[Suvat_UiController.instance.DropBox_Particle.value];
//Collisions enabled
if (Toggle_Collisions.isOn == true)
{
//a particle with collisions must have collisions and restitution values
particle.AddParticlePropery(newParticle.Properties.collisions);
particle.collisions = true;
particle.AddParticlePropery(newParticle.Properties.restitution);
particle.restitution = Slider_Restitution.value;
}
//gravity enabled
if (Toggle_Gravity.isOn == true)
{
particle.AddParticlePropery(newParticle.Properties.gravity);
particle.gravity = true;
}
//updating mass value
if (particle.hasMass)
{
particle.mass = Slider_Mass.value;
}
//no mass therefore must add component before assigning mass value
else
{
particle.AddParticlePropery(newParticle.Properties.mass);
particle.mass = Slider_Mass.value;
}
}
//Calculations when a border collision occurs
private void BorderCollisionCalculation(Collider other)
{
newParticle particle = newParticle.ParticleInstances[particleIndex];
//particles in the collision must have collisions enabled
if (particle.hasCollisions == false || particle.hasRestitution == false)
{
return;
}
//Gets restitution calculaues from the slider and from particle
//Border collisions only occurs in the collisions module therefore can call the Collisions_InputController script
float BorderRestitution = Collisions_InputController.Instance.Slider_BorderRestitution.value;
float Restitution = particle.restitution;
Vector3 previousVelocity = particle.currentVelocity;
//Horizontal border (y velocity changes)
if (other.transform.localScale.x > other.transform.localScale.y)
{
//If collided with a horizontal border then only the Y is afected by reversing the direction and multiplying by the restitutions
particle.currentVelocity = new Vector3(
previousVelocity.x,
-1 * (BorderRestitution * Restitution) * previousVelocity.y,
previousVelocity.z);
}
//Vertical border ( x velocity changes)
else if (other.transform.localScale.x < other.transform.localScale.y)
{
//If collided with a vertical border then only the X is afected by reversing the direction and multiplying by the restitutions
particle.currentVelocity = new Vector3(
-1 * (BorderRestitution * Restitution) * previousVelocity.x,
previousVelocity.y,
previousVelocity.z);
}
}
//Gets non suvat based inputs from the UI and sassigns values to the particle instance
private static void getMisc(ref newParticle values)
{
//Reference to the UI instance that being used
Suvat_UiController controller = Suvat_UiController.instance;
//Radius cannot be empty text or 0
if (controller.Radius.text != "" && controller.Radius.text != "0")
{
//converts text to float from the input field
values.diameter = float.Parse(controller.Radius.text);
}
else
{
//If the radius has not been stated or =0 then a default value of 1 is assigned.
values.diameter = 1;
}
try
{
//If the gravity toggle has been enabled
if (controller.Gravity.isOn == true)
{
//gravity must be added.Gravity is negative therefore a vector subtraction occurs of the magnitude of gravity.
//Y component only
values.acceleration -= new Vector3(0, Gravity, 0);
}
}
catch (NullReferenceException) { }
}
//Ran when a Suvat calculation is too occur on the passed in instance of Particle.
public static newParticle FindEquation(newParticle values)
{
//i is the dimention to calculate
int i = 0;
//Dictionary reference between key and function to be ran
//When the key is indexed the function is ran with parameters values and i
var Equations = new Dictionary <string, Action>
{
{ "00111", () => RanOn_00111(values, i) },
{ "01110", () => RanOn_01110(values, i) },
{ "01011", () => RanOn_01011(values, i) },
{ "01101", () => RanOn_01101(values, i) },
{ "01111", () => RanOn_01111(values, i) },
{ "10011", () => RanOn_10011(values, i) },
{ "10101", () => RanOn_10101(values, i) },
{ "10110", () => RanOn_10110(values, i) },
{ "10111", () => RanOn_10111(values, i) },
{ "11001", () => RanOn_11001(values, i) },
{ "11010", () => RanOn_11010(values, i) },
{ "11011", () => RanOn_11011(values, i) },
{ "11100", () => RanOn_11100(values, i) },
{ "11101", () => RanOn_11101(values, i) },
{ "11110", () => RanOn_11110(values, i) },
{ "11111", () => RanOn_11111(values, i) },
};
//The emergency escape incase something goes wrong
//Prevents an infinite loop
int j = 0;
int maxj = 10;
//While their are still values to calculate in any dimentions
//and not all dimentions have invalid inputs
while (((values.numberOfInputs[0] != 5 && values.numberOfInputs[1] != 5 && values.numberOfInputs[2] != 5) || (values.invalidInputs[0] == false || values.invalidInputs[1] == false || values.invalidInputs[2] == false)) && (j < maxj))
{
//Dimention has 3 or more inputs
if (values.numberOfInputs[0] >= 3)
{
i = 0;
//Calls the corressponding equation
Equations[values.key[i]]();
}
//Dimention has 3 or more inputs
if (values.numberOfInputs[1] >= 3)
{
i = 1;
//Calls the corressponding equation
Equations[values.key[i]]();
}
//Dimention has 3 or more inputs
if (values.numberOfInputs[2] >= 3)
{
i = 2;
//Calls the corressponding equation
Equations[values.key[i]]();
}
j++;
}
return(values);
}
//V = u + at , rearranged for t
public static void RanOn_11110(newParticle values, int dimention)
{
//Diffrent equations are used depending on acceleration
if (values.acceleration[dimention] == 0)
{
//Cannot divide by 0
if ((values.initialVelocity[dimention] + values.currentVelocity[dimention]) != 0)
{
values.motionTime = 2 * values.displacement[dimention] / (values.initialVelocity[dimention] + values.currentVelocity[dimention]);
values.key[0] = ReplaceAtIndex(4, '1', values.key[0]);
values.key[1] = ReplaceAtIndex(4, '1', values.key[1]);
values.key[2] = ReplaceAtIndex(4, '1', values.key[2]);
}
else
{
values.invalidInputs[dimention] = true;
}
}
else
{
//Time calculations change the Key in 3 dimentions because time is shared
values.motionTime = (values.currentVelocity[dimention] - values.initialVelocity[dimention]) / values.acceleration[dimention];
values.key[0] = ReplaceAtIndex(4, '1', values.key[0]);
values.key[1] = ReplaceAtIndex(4, '1', values.key[1]);
values.key[2] = ReplaceAtIndex(4, '1', values.key[2]);
}
}
//Creates then returns a particle with properties for the gravity simulator
public static newParticle CreateGravityParticle()
{
newParticle particle = new newParticle();
particle.AddParticlePropery(newParticle.Properties.MyGameObject);
particle.AddParticlePropery(newParticle.Properties.ParticlePrefabs);
particle.AddParticlePropery(newParticle.Properties.ParticleSprites);
particle.AddParticlePropery(newParticle.Properties.initialVelocity);
particle.AddParticlePropery(newParticle.Properties.currentVelocity);
particle.AddParticlePropery(newParticle.Properties.diameter);
particle.AddParticlePropery(newParticle.Properties.restitution);
particle.AddParticlePropery(newParticle.Properties.mass);
particle.AddParticlePropery(newParticle.Properties.gravity);
particle.AddParticlePropery(newParticle.Properties.collisions);
particle.AddParticlePropery(newParticle.Properties.graphingValuesAcceleration);
particle.AddParticlePropery(newParticle.Properties.graphingValuesSpeed);
//Creates the gameobject for the gravity particle
particle.CreateGravityObject();
particle.graphingValuesAcceleration = new List <Vector2>();
particle.graphingValuesSpeed = new List <Vector2>();
//Sets initial values for the gravity particle (defaults)
particle.initialVelocity = Vector3.zero;
particle.diameter = 0.25f;
particle.restitution = 1;
particle.mass = 1.0f;
particle.gravity = true;
particle.collisions = true;
//returns particle which has been created
return(particle);
}
public void HyperbolicEncounter()
{
newParticle bigMass = newParticle.CreateGravityParticle();
bigMass.diameter = 0.25f;
bigMass.mass = 2.3f;
bigMass.initialVelocity = Vector3.zero;
bigMass.MyGameObject.transform.position = new Vector3(
1,
0,
0);
//Changes sprite to an earth sprite
bigMass.MyGameObject.GetComponent <SpriteRenderer>().sprite = Resources.Load("Planet_Sprites\\earth-like", typeof(Sprite)) as Sprite;
newParticle.ParticleInstances.Add(bigMass);
newParticle smallMass = newParticle.CreateGravityParticle();
smallMass.diameter = 0.1f;
smallMass.mass = 0.01f;
smallMass.MyGameObject.transform.position = new Vector3(
-3,
5f,
0);
smallMass.MyGameObject.name = "Moon";
//Changes sprite to a moon-like sprite
smallMass.MyGameObject.GetComponent <SpriteRenderer>().sprite = Resources.Load("Planet_Sprites\\Ice-Planet", typeof(Sprite)) as Sprite;
//Velocity in X component required for perfect circular motion
smallMass.initialVelocity = new Vector3(
2.5f,
-1f,
0);
newParticle.ParticleInstances.Add(smallMass);
AddToDropBoxs(2);
}
//Method which creates a Collisions particle
//Adds required properties
//Sets default values
//Create GameObject scene
public static newParticle CreateCollisionsParticle()
{
//Properties added to the particle
newParticle particle = new newParticle();
particle.AddParticlePropery(newParticle.Properties.MyGameObject);
particle.AddParticlePropery(newParticle.Properties.ParticlePrefabs);
particle.AddParticlePropery(newParticle.Properties.initialVelocity);
particle.AddParticlePropery(newParticle.Properties.currentVelocity);
particle.AddParticlePropery(newParticle.Properties.diameter);
particle.AddParticlePropery(newParticle.Properties.restitution);
particle.AddParticlePropery(newParticle.Properties.mass);
particle.AddParticlePropery(newParticle.Properties.collisions);
particle.AddParticlePropery(newParticle.Properties.graphingValuesMomentumX);
particle.AddParticlePropery(newParticle.Properties.graphingValuesMomentumY);
//Creates gameobject for the scene
particle.CreateCollisionsObject();
particle.graphingValuesMomentumX = new List <Vector2>();
particle.graphingValuesMomentumY = new List <Vector2>();
//Default values
particle.initialVelocity = Vector3.zero;
particle.diameter = 0.25f;
particle.restitution = 1;
particle.mass = 1.0f;
particle.collisions = true;
//returns particle
return(particle);
}
//Creates and gives random values to particles
private void CreateRandomParticle()
{
//UnityEngine.Random.RandomRange generates a float between min and max
newParticle random = newParticle.CreateCollisionsParticle();
random.initialVelocity = new Vector2(
UnityEngine.Random.Range(-5f, 5f),
UnityEngine.Random.Range(-5f, 5f));
random.mass = UnityEngine.Random.Range(1f, 5f);
random.restitution = UnityEngine.Random.Range(1f, 1f);
random.diameter = UnityEngine.Random.Range(1f, 1.5f);
float minX = BorderLeft.transform.position.x + random.diameter / 2 + (BorderLeft.GetComponent <Renderer>().bounds.size.x / 2);
float maxX = BorderRight.transform.position.x - random.diameter / 2 - (BorderRight.GetComponent <Renderer>().bounds.size.x / 2);
float minY = BorderBottom.transform.position.y + random.diameter / 2 + (BorderBottom.GetComponent <Renderer>().bounds.size.y / 2);
float maxY = BorderTop.transform.position.y - random.diameter / 2 - (BorderTop.GetComponent <Renderer>().bounds.size.y / 2);
Vector3 newPosition = new Vector2(
UnityEngine.Random.Range(minX, maxX),
UnityEngine.Random.Range(minY, maxY));
random.MyGameObject.transform.position = newPosition;
newParticle.ParticleInstances.Add(random);
}
//Performs and controls the maths of the calculations
private void CalculateCollision(newParticle first, newParticle second)
{
//Checking that particles in collisions are valid to collide
if (first.hasCollisions == false || first.hasRestitution == false || second.hasCollisions == false || second.hasRestitution == false)
{
return;
}
//Getting unit direction vector
Vector3 deltaPosition = first.MyGameObject.transform.position - second.MyGameObject.transform.position;
Vector3 unitDirection = (deltaPosition) / (MyMaths.Vector_Magnitude(deltaPosition));
//Getting velocity parrlele and perpendicular before colllisiosn
Vector3 FirstParrelleVelocity = CalculateParrelelVelocity(first.currentVelocity, unitDirection);
Vector3 FirstPerpendicularVelocity = first.currentVelocity - FirstParrelleVelocity;
Vector3 SecondParrelleVelocity = CalculateParrelelVelocity(second.currentVelocity, unitDirection);
Vector3 SecondPerpendicularVelocity = second.currentVelocity - SecondParrelleVelocity;
float first_e = first.restitution;
float second_e = second.restitution;
//Relative restitution
float e = first_e * second_e;
float m = first.mass;
float M = second.mass;
//maths
first.currentVelocity = CalculateAfterVelocityFirst(m, M, FirstParrelleVelocity, SecondParrelleVelocity, e) + FirstPerpendicularVelocity;
second.currentVelocity = CalculateAfterVelocitySecond(m, M, FirstParrelleVelocity, SecondParrelleVelocity, e) + SecondPerpendicularVelocity;
}
// s = ut + 1/2 * a * t^2 rearranged for u
public static void RanOn_10011(newParticle values, int dimention)
{
Vector3 temp = values.initialVelocity;
temp[dimention] = (values.displacement[dimention] / values.motionTime) - 0.5f * (values.acceleration[dimention] * values.motionTime);
values.initialVelocity = temp;
values.key[dimention] = ReplaceAtIndex(1, '1', values.key[dimention]);
}
// s = ut + 1/2 * a * t^2
public static void RanOn_01011(newParticle values, int dimention)
{
Vector3 temp = values.displacement;
temp[dimention] = values.initialVelocity[dimention] * values.motionTime + 0.5f * values.acceleration[dimention] * Mathf.Pow(values.motionTime, 2);
values.displacement = temp;
values.key[dimention] = ReplaceAtIndex(0, '1', values.key[dimention]);
}
//V = u + at
public static void RanOn_11011(newParticle values, int dimention)
{
Vector3 temp = values.currentVelocity;
temp[dimention] = values.initialVelocity[dimention] + values.acceleration[dimention] * values.motionTime;
values.currentVelocity = temp;
values.key[dimention] = ReplaceAtIndex(2, '1', values.key[dimention]);
}
//Updates UI with values from a particle
public void UpdateUI(newParticle values)
{
InputField_VelocityX.text = values.currentVelocity.x.ToString();
InputField_VelocityY.text = values.currentVelocity.y.ToString();
Slider_Mass.value = values.mass;
Slider_Restitution.value = values.restitution;
Slider_Radius.value = values.diameter;
}
// s = 1/2 (u + v) t
public static void RanOn_01101(newParticle values, int dimention)
{
Vector3 temp = values.displacement;
temp[dimention] = 0.5f * (values.initialVelocity[dimention] + values.currentVelocity[dimention]) * values.motionTime;
values.displacement = temp;
values.key[dimention] = ReplaceAtIndex(0, '1', values.key[dimention]);
}
//S = vt - 1/2 a t^2
private static void RanOn_00111(newParticle values, int dimention)
{
//S = vt - 1/2 a t^2
Vector3 temp = values.displacement;
temp[dimention] = values.currentVelocity[dimention] * values.motionTime - 0.5f * (values.acceleration[dimention] * Mathf.Pow(values.motionTime, 2));
values.displacement = temp;
values.key[dimention] = ReplaceAtIndex(0, '1', values.key[dimention]);
}
//Updates UI with values from a planet
public void UpdateUI(newParticle values)
{
Inputfield_VelocityX.text = values.currentVelocity.x.ToString();
Inputfield_VelocityY.text = values.currentVelocity.y.ToString();
Slider_Mass.value = values.mass;
Slider_Diameter.value = values.diameter;
//Updates UI values
OnMassSliderChanged();
OnRadiusChanged();
}
private void CreateFirstParticle()
{
//Assigns default values to the particle
newParticle particle = newParticle.CreateCollisionsParticle();
particle.initialVelocity = Vector3.zero;
particle.mass = 1.0f;
particle.restitution = 1.0f;
particle.diameter = 1.0f;
//Adds particle to the list which causes the prefab to be instatiated
newParticle.ParticleInstances.Add(particle);
}
//Returns if all dmentions active have 3 or more inputs
private static bool getAboveThree(newParticle values, int dimentions)
{
bool allAbove = true;
int[] numberOfInputs = values.numberOfInputs;
for (int i = 0; i < dimentions; i++)
{
if (numberOfInputs[i] < 3)
{
allAbove = false;
}
}
return(allAbove);
}
//Creates a planet to be centered in the screen when scene loads
private void CreateFirstObject()
{
if (newParticle.ParticleInstances.Count == 0)
{
//Assigns default values to the particle
newParticle particle = newParticle.CreateGravityParticle();
newParticle.ParticleInstances.Add(particle);
//Update values for UI
OnRadiusChanged();
OnMassSliderChanged();
//remember restitution
}
}
private Vector3 GetAccelleration(newParticle particle)
{
Vector3 accelerationCounter = Vector3.zero;
if (particle.hasGravity && particle.hasMass)
{
accelerationCounter = GetAccellerationGravity(particle);
}
if (particle.hasAcceleration)
{
accelerationCounter += particle.acceleration;
}
return(accelerationCounter);
}
//Gets the inputs from the user for each Suvat quantitity in the X dimention
//If the input is not NULL then Key is updated for the dimention and element
private static void GetInput_Suvat_x(ref newParticle values, int dimentions)
{
//float.parse converts a string to float type
//Reference to the UI element
Suvat_UiController controller = Suvat_UiController.instance;
if (controller.S_x.text != "")
{
Vector3 temp = values.displacement;
temp[0] = float.Parse(controller.S_x.text);
values.displacement = temp;
values.key[0] = ReplaceAtIndex(0, '1', values.key[0]);
}
if (controller.U_x.text != "")
{
Vector3 temp = values.initialVelocity;
temp[0] = float.Parse(controller.U_x.text);
values.initialVelocity = temp;
values.key[0] = ReplaceAtIndex(1, '1', values.key[0]);
}
if (controller.V_x.text != "")
{
Vector3 temp = values.currentVelocity;
temp[0] = float.Parse(controller.V_x.text);
values.currentVelocity = temp;
values.key[0] = ReplaceAtIndex(2, '1', values.key[0]);
}
if (controller.A_x.text != "")
{
Vector3 temp = values.acceleration;
temp[0] = float.Parse(controller.A_x.text);
values.acceleration = temp;
values.key[0] = ReplaceAtIndex(3, '1', values.key[0]);
}
if (controller.Time.text != "")
{
values.motionTime = float.Parse(controller.Time.text);
//Time shared between all dimentions
values.key[0] = ReplaceAtIndex(4, '1', values.key[0]);
values.key[1] = ReplaceAtIndex(4, '1', values.key[1]);
values.key[2] = ReplaceAtIndex(4, '1', values.key[2]);
}
if (controller.R_x.text != "")
{
Vector3 temp = values.initialPosition;
temp[0] = float.Parse(controller.R_x.text);
values.initialPosition = temp;
}
}
//s = 0.5 * *u+v)t , rearranged for v
public static void RanOn_11001(newParticle values, int dimention)
{
//Cannot divide by 0 therefore will be invalid input.
if (values.motionTime == 0)
{
values.invalidInputs[dimention] = true;
}
else
{
Vector3 temp = values.currentVelocity;
temp[dimention] = 2 * (values.displacement[dimention] / values.motionTime) - values.initialVelocity[dimention];
values.currentVelocity = temp;
values.key[dimention] = ReplaceAtIndex(2, '1', values.key[dimention]);
}
}
// V^2 = u^2 + 2as reaaragned for a
public static void RanOn_11100(newParticle values, int dimention)
{
//Cannot divide by 0 which would cause invalid inputs
if (values.displacement[dimention] == 0)
{
values.invalidInputs[dimention] = true;
}
else
{
Vector3 temp = values.acceleration;
temp[dimention] = (Mathf.Pow(values.currentVelocity[dimention], 2) - Mathf.Pow(values.initialVelocity[dimention], 2)) / (2 * values.displacement[dimention]);
values.acceleration = temp;
values.key[dimention] = ReplaceAtIndex(3, '1', values.key[dimention]);
}
}
//V = u + at , rearranged for a
public static void RanOn_11101(newParticle values, int dimention)
{
//Cannot divide by 0
if (values.motionTime == 0)
{
values.invalidInputs[dimention] = true;
}
else
{
Vector3 temp = values.acceleration;
temp[dimention] = (values.currentVelocity[dimention] - values.initialVelocity[dimention]) / values.motionTime;
values.acceleration = temp;
values.key[dimention] = ReplaceAtIndex(3, '1', values.key[dimention]);
}
}
//S = (v^2-u^2) / 2a
private static void RanOn_01110(newParticle values, int dimention)
{
//cannot devide by 0.Therefore would be invalid input
if (values.acceleration[dimention] != 0)
{
//S = (v^2-u^2) / 2a
Vector3 temp = values.displacement;
temp[dimention] = (Mathf.Pow(values.currentVelocity[dimention], 2) - Mathf.Pow(values.initialVelocity[dimention], 2)) / (2 * values.acceleration[dimention]);
values.displacement = temp;
values.key[dimention] = ReplaceAtIndex(0, '1', values.key[dimention]);
}
else
{
values.invalidInputs[dimention] = true;
}
}
// V^2 = u^2 + 2as reaaragned for u
public static void RanOn_10110(newParticle values, int dimention)
{
float InsideRoot = Mathf.Pow(values.currentVelocity[dimention], 2) - 2 * values.acceleration[dimention] * values.displacement[dimention];
//Square root must be positive
if (InsideRoot < 0)
{
values.invalidInputs[dimention] = true;
}
else
{
Vector3 temp = values.initialVelocity;
temp[dimention] = Mathf.Sqrt(InsideRoot);
values.initialVelocity = temp;
values.key[dimention] = ReplaceAtIndex(1, '1', values.key[dimention]);
}
}
//Creates the earth planet and gameobject
private void CreateEarth()
{
newParticle earth = newParticle.CreateGravityParticle();
earth.MyGameObject.name = "Earth";
earth.diameter = 0.25f;
earth.mass = 1;
earth.initialVelocity = Vector3.zero;
earth.MyGameObject.transform.position = new Vector3(
0,
-2,
0);
//Changes sprite to an earth sprite
earth.MyGameObject.GetComponent <SpriteRenderer>().sprite = Resources.Load("Planet_Sprites\\earth-like", typeof(Sprite)) as Sprite;
newParticle.ParticleInstances.Add(earth);
}
