I'm struggling with probably simple math to spin/rotate a wheel using drag&drop.
There is a Radial Layout in a Canvas (Unity UI) and it can already be rotated by setting a property called StartAngle that is in a range from 0-360. In this Radial there are items, so the StartAngle is for the first item and places all the child elements around the layout radius.
I want to implement drag & drop for the items so that you can drag a child around and the Radial will spin accordingly (infinitely).
Right now, I have this as a starting point:
public void OnDrag(PointerEventData eventData)
{
var delta = eventData.delta.x * Time.deltaTime;
var newAngle = radialLayout.StartAngle + delta;
if (newAngle >= 360)
newAngle = newAngle - 360;
else if (newAngle < 0)
newAngle = Mathf.Abs(360 - newAngle);
radialLayout.StartAngle = newAngle;
}
It kind of works but doesn't feel very smooth. This is for mobile/touch, so I want both the X and Y delta of the drag operation to be taken into account. Apparently, the y delta is not considered in my example and I have no idea how to incorporate this correctly. The user might do a linear drag & drop on either axis or he/she might also do like a circular drag movement.
So how can I map mouse movement to a rotation angle from 0-360 so that it feels good?
Edit: Thanks for the help, I did it like this now:
public void OnDrag(PointerEventData eventData)
{
// Note the "Head-Minus-Tale rule for Vector subtraction, see http://www.maths.usyd.edu.au/u/MOW/vectors/vectors-3/v-3-7.html
// vSourceToDestination = vDestination - vSource;
// First, we draw a vector from the center point of the radial to the point where we started dragging
var from = dragStartPoint - (Vector2)radialLayout.transform.position;
// Next, we draw a vector from the center point of the radial to the point we are currently dragging on
var to = eventData.position - (Vector2)radialLayout.transform.position;
// Now, we calculate the angle between these two:
var dragAngle = Vector2.SignedAngle(from, to);
// Lerping makes movement fast at the beginning slow at the end
var lerpedAngle = Mathf.Round(Mathf.LerpAngle(radialLayout.StartAngle, dragAngle, 0.5f));
radialLayout.StartAngle = lerpedAngle;
}
I don't know all of your code and types but I would have an idea. I can't test this right now and can not garant that it even works like this but I hope the idea gets clear.
I would probably rather use something like
// This is the vector from the center of the object to the mouse/touch position
// (in screen pixel space)
var touchDirection = eventData.position - Camera.main.WorldToScreenPoint(transform.position);
// angle between the Up (Y) axis and this touchDirection
// for the angle the length of the up vector doesn't matter so there is
// no need to convert it to pixel space
var targetAngle = Vector2.SignedAngle(Vector2.up, touchDirection);
// since the returned angle might be negative wrap it to get values 0-360
if(targetAngle < 0) targetAngle += 360;
// Now either simply use Lerp
// this would simply interpolate each frame to the middle of both values
// the result is a fast movement at the beginning and a very slow at the end
radialLayout.StartAngle = Mathf.Lerp(radialLayout.StartAngle, targetAngle, 0.5f);
// or maybe use a fixed speed like 30°/second
var difference = targetAngle - radialLayout.StartAngle;
radialLayout.StartAngle += Mathf.Sign(difference) * Mathf.Min(30f * Time.deltaTime, Mathf.Abs(difference));
Typed on smartphone but I hope the idea gets clear
Related
This is a question for Unity people or Math geniuses.
I'm making a game where I have a circle object that I can move, but I don't want it to intersect or go into other (static) circles in the world (Physics system isn't good enough in Unity to simply use that, btw).
It's in 3D world, but the circles only ever move on 2 axis.
I was able to get this working perfectly if circle hits only 1 other circle, but not 2 or more.
FYI: All circles are the same size.
Here's my working formula for 1 circle to move it to the edge of the colliding circle if intersecting:
newPosition = PositionOfStaticCircleThatWasJustIntersected + ((positionCircleWasMovedTo - PositionOfStaticCircleThatWasJustIntersected).normalized * circleSize);
But I can't figure out a formula if the moving circle hits 2 (or more) static circles at the same time.
One of the things that confuse me the most is the direction issue depending on how all the circles are positioned and what direction the moving circle is coming from.
Here's an example image of what I'm trying to do.
Since we're operating in a 2D space, let's approach this with some geometry. Taking a close look at your desired outcome, a particular shape become apparent:
There's a triangle here! And since all circles are the same radius, we know even more: this is an isosceles triangle, where two sides are the same length. With that information in hand, the problem basically boils down to:
We know what d is, since it's the distance between the two circles being collided with. And we know what a is, since it's the radius of all the circles. With that information, we can figure out where to place the moved circle. We need to move it d/2 between the two circles (since the point will be equidistant between them), and h away from them.
Calculating the height h is straightforward, since this is a right-angle triangle. According to the Pythagorean theorem:
// a^2 + b^2 = c^2, or rewritten as:
// a = root(c^2 - b^2)
float h = Mathf.Sqrt(Mathf.Pow(2 * a, 2) - Mathf.Pow(d / 2, 2))
Now need to turn these scalar quantities into vectors within our game space. For the vector between the two circles, that's easy:
Vector3 betweenVector = circle2Position - circle1Position
But what about the height vector along the h direction? Well, since all movement is on 2D space, find a direction that your circles don't move along and use it to get the cross product (the perpendicular vector) with the betweenVector using Vector3.Cross(). For
example, if the circles only move laterally:
Vector3 heightVector = Vector3.Cross(betweenVector, Vector3.up)
Bringing this all together, you might have a method like:
Vector3 GetNewPosition(Vector3 movingCirclePosition, Vector3 circle1Position,
Vector3 circle2Position, float radius)
{
float halfDistance = Vector3.Distance(circle1Position, circle2Position) / 2;
float height = Mathf.Sqrt(Mathf.Pow(2 * radius, 2) - Mathf.Pow(halfDistance, 2));
Vector3 betweenVector = circle2Position - circle1Position;
Vector3 heightVector = Vector3.Cross(betweenVector, Vector3.up);
// Two possible positions, on either side of betweenVector
Vector3 candidatePosition1 = circle1Position
+ betweenVector.normalized * halfDistance
+ heightVector.normalized * height;
Vector3 candidatePosition2 = circle1Position
+ betweenVector.normalized * halfDistance
- heightVector.normalized * height;
// Absent any other information, the closer position will be assumed as correct
float distToCandidate1 = Vector3.Distance(movingCirclePosition, candidatePosition1);
float distToCandidate2 = Vector3.Distance(movingCirclePosition, candidatePosition2);
if (distToCandidate1 < distToCandidate2){
return candidatePosition1;
}
else{
return candidatePosition2;
}
}
I have an image UI in a canvas with Screen Space - Camera render mode. What I like to do is move my LineRenderer to the image vertical position by looping through all the LineRenderer positions and changing its y axis. My problem is I cant get the correct position of the image that the LineRenderer can understand. I've tried using ViewportToWorldPoint and ScreenToWorldPoint but its not the same position.
Vector3 val = Camera.main.ViewportToWorldPoint(new Vector3(image.transform.position.x, image.transform.position.y, Camera.main.nearClipPlane));
for (int i = 0; i < newListOfPoints.Count; i++)
{
line.SetPosition(i, new Vector3(newListOfPoints[i].x, val.y, newListOfPoints[i].z));
}
Screenshot result using Vector3 val = Camera.main.ScreenToWorldPoint(new Vector3(image.transform.localPosition.x, image.transform.localPosition.y, -10));
The green LineRenderer is the result of changing the y position. It should be at the bottom of the square image.
Wow, this was annoying and complicated.
Here's the code I ended up with. The code in your question is the bottom half of the Update() function. The only thing I changed is what was passed into the ScreenToWorldPoint() method. That value is calculated in the upper half of the Update() function.
The RectTransformToScreenSpace() function was adapted from this Unity Answer post1 about getting the screen space coordinates of a RectTransform (which is exactly what we want in order to convert from screen space coordinates back into world space!) The only difference is that I was getting inverse Y values, so I changed from Screen.height - transform.position.y to just transform.position.y which did the trick perfectly.
After that it was just a matter of grabbing that rectangle's lower left corner, making it a Vector3 instead of a Vector2, and passing it back into ScreenToWorldPoint(). The only trick there was because of the perspective camera, I needed to know how far away the line was from the camera originally in order to maintain that same distance (otherwise the line moves up and down the screen faster than the image). For an orthographic camera, this value can be anything.
void Update () {
//the new bits:
float dist = (Camera.main.transform.position - newListOfPoints[0]).magnitude;
Rect r = RectTransformToScreenSpace((RectTransform)image.transform);
Vector3 v3 = new Vector3(r.xMin, r.yMin, dist);
//more or less original code:
Vector3 val = Camera.main.ScreenToWorldPoint(v3);
for(int i = 0; i < newListOfPoints.Count; i++) {
line.SetPosition(i, new Vector3(newListOfPoints[i].x, val.y, newListOfPoints[i].z));
}
}
//helper function:
public static Rect RectTransformToScreenSpace(RectTransform transform) {
Vector2 size = Vector2.Scale(transform.rect.size, transform.lossyScale);
Rect rect = new Rect(transform.position.x, transform.position.y, size.x, size.y);
rect.x -= (transform.pivot.x * size.x);
rect.y -= ((1.0f - transform.pivot.y) * size.y);
return rect;
}
1And finding that post from a generalized search on "how do I get the screen coordinates of a UI object" was not easy. A bunch of other posts came up and had some code, but none of it did what I wanted (including converting screen space coordinates back into world space coordinates of the UI object which was stupid easy and not reversibe, thanks RectTransformUtility!)
I would like to simulate a vortex like force to a "bunch" of objects in my scene.
How can I do in Unity ?
Thanks
If you are using the physics system, there's two parts to this. Applying the vortex force, and getting the nice swirling effect. To apply the vortex force you can just loop over the rigidbodies and apply the force. To make the swirl look like a proper vortex swirl, you need to start the objects off with a tangential velocity that you can figure out using the vector cross product.
public float VortexStrength = 1000f;
public float SwirlStrength = 5f;
void Start () {
foreach(GameObject g in RigidBodies){
//to get them nice and swirly, use the perpendicular to the direction to the vortex
Vector3 direction = Vortex.transform.position - g.transform.position;
var tangent = Vector3.Cross(direction, Vector3.up).normalized * SwirlStrength;
g.GetComponent<Rigidbody>().velocity = tangent;
}
}
void Update(){
//apply the vortex force
foreach(GameObject g in RigidBodies){
//force them toward the center
Vector3 direction = Vortex.transform.position - g.transform.position;
g.GetComponent<Rigidbody>().AddForce(direction.normalized * Time.deltaTime * VortexStrength);
}
}
Circular motion:
float angle =0;
float speed=(2*Mathf.PI)/5 //2*PI in degress is 360, so you get 5 seconds to complete a circle
float radius=5;
void Update()
{
angle += speed*Time.deltaTime; //if you want to switch direction, use -= instead of +=
x = Mathf.Cos(angle)*radius;
y = Mathf.Sin(angle)*radius;
}
where the center of your circle is the center of your vortex.
Of course:
If you want multiple objects with diferent distance from vortex's
center you have to play with your radius variable (i would add a
Random.Range(minDistance, maxDistance))
If you want diferent speeds you can randomize/change the speed.
Randomize/change your x/y if you don't want a perfect circle
Hope i was clear enought.
I am trying to archive without success a z-axis rotation movement around a moving object keeping always "looking at front". So it should looks like this:
The closest I got was with:
transform.RotateAround(targetPosition, Vector3.forward, moveSpeed);
But it does not keeps looking "at front".
Could someone give me a hand with this?
Thank you in advance.
Best regards.
If your object ("Lightning Bolt") has no world rotation, i.e. aligned with the world axis as your example image seems to suggest, then the easiest is to simply set the world rotation to the Quaternion Identity:
transform.rotation = Quaternion.identity;
Note that the image wont rotate if its parent object rotates. It will essentially "Billboard" your lightning object. If you want to your lightning bolt to be aligned with a parent object, then try something like:
transform.rotation = transform.parent.rotation;
Fitst store the current rotation, then rotate around point, lastly apply the previous rotation.
var rot = transform.rotation;
transform.RotateAround(targetPosition, Vector3.forward, moveSpeed);
transform.rotation = rot;
A simple solution would just manipulate actual coordinates and ignore rotation ^^ If an object moves and you want it to keep rotating around it, just make it a child object.
This is a 3d solution where we rotate around Y:
void Start() { angle = 0.0f }
void Update() {
angle += speed * Time.deltaTime; //Your starting angle that will be modified every frame
CheckAngle(ref angle);
float x = Mathf.Cos(angle * Mathf.Deg2Rad) * Radius;
float z = Mathf.Sin(angle * Mathf.Deg2Rad) * Radius;
}
static void CheckAngle(ref float Angle) //It should probably return a value by it's name here tho not ref, not sure which is the correct way of doing this
{
if (Angle > 360) //You don't want your angle to go past the boundaries of an INT
Angle = 0;
}
I have a problem with trying to keep my character from rolling over, yet allow it to pitch and yaw. The suggestions I have seen have been to lock different axis, but no matter if I lock the x, y, or z axis I always run into a situation where the character can fall over. The best I can get is to lock both the y and z axis. This allows the character to change pitch to conform to the terrain. But, again, if I turn left or right while going up or down a hill and I can roll the character over.
Here is my current code for movement (in case it helps). I have no other code and my rigid body is all defaults. I have a mesh collier for the character set to convex but defaults otherwise.
Any suggestions on how to make this work?
Here's a live demo of y and z axis being locked. Just waltz up the hill and hang a left or right and you'll fall over. (ASWD controls)
https://dl.dropboxusercontent.com/u/27946381/Builds/builds.html
Thanks so much!
var speed = 3.0;
var rotateSpeed = 3.0;
function FixedUpdate() {
var hAxis = 0;
var vAxis = 0;
if( Input.GetAxis("Horizontal") > 0 ) { hAxis = 1.0; } else if( Input.GetAxis("Horizontal") < 0 ) { hAxis = -1.0; } else { hAxis = 0.0; }
if( Input.GetAxis("Vertical") > 0 ) { vAxis = 1.0; } else if( Input.GetAxis("Vertical") < 0 ) { vAxis = -1.0; } else { vAxis = 0.0; }
var rigidBody: Rigidbody = GetComponent(Rigidbody);
// Rotate around y axis
// transform.Rotate(0, hAxis * rotateSpeed, 0);
var deltaRotation : Quaternion = Quaternion.Euler(0, hAxis * rotateSpeed, 0);
rigidbody.MoveRotation(rigidbody.rotation * deltaRotation);
// Move forward / backward
var forward = transform.TransformDirection(Vector3.forward);
var currSpeed = speed * vAxis;
rigidBody.MovePosition( rigidBody.position + (forward * currSpeed) );
var animatorController: Animator = GetComponent(Animator);
animatorController.SetFloat("Speed", currSpeed);
}
well maybe you should check your rigidbody properties called gravity scale.. set it to 0 and you will never fall
I believe your problem is in these MovePosition and MoveRotation. Take a look into scripting reference - these methods basically ignores collision until body is teleported at the specified pose. I.e. you may place the body into some kind of irresolvable situation, when physics engice unable to find appropriate forces to push the body away from another collider, and therefore the body will fall through. In this case it is better to use AddForce and AddTorque.
Also, you can use CharacterController instead of RigidBody. Though it cannot be rotated at all, there are fine methods for kinematic motion with precise collision detection. And you can attach another body to the character controller and rotate it as you wish.
Changing code will change nothing.
Try changing the hitbox of the player to a big cube
(Better) Try to look into the rigidbody properties, as far as I remember I had the same problem and fixed it that way, it might help