I'm writing a script for an Object in Unity3D.
I want to get the volume of my object.
rigidBody = GetComponent<Rigidbody>();
I'm looking in the documentation at the attributes contained in Rigidbody but I don't see anything I can use.
I tried using bounds but I found that rotation of an object changed those values even without size changing:
int getSize(Vector3 bounds)
{
float size = bounds[0] * bounds[1] * bounds[2] * 1000;
Debug.Log("size value = " + (int)size);
return (int)size;
}
What properties can I use to calculate the volume of an object?
The math is explained here.
In C# for convencience:
float SignedVolumeOfTriangle(Vector3 p1, Vector3 p2, Vector3 p3)
{
float v321 = p3.x * p2.y * p1.z;
float v231 = p2.x * p3.y * p1.z;
float v312 = p3.x * p1.y * p2.z;
float v132 = p1.x * p3.y * p2.z;
float v213 = p2.x * p1.y * p3.z;
float v123 = p1.x * p2.y * p3.z;
return (1.0f / 6.0f) * (-v321 + v231 + v312 - v132 - v213 + v123);
}
float VolumeOfMesh(Mesh mesh)
{
float volume = 0;
Vector3[] vertices = mesh.vertices;
int[] triangles = mesh.triangles;
for (int i = 0; i < mesh.triangles.Length; i += 3)
{
Vector3 p1 = vertices[triangles[i + 0]];
Vector3 p2 = vertices[triangles[i + 1]];
Vector3 p3 = vertices[triangles[i + 2]];
volume += SignedVolumeOfTriangle(p1, p2, p3);
}
return Mathf.Abs(volume);
}
Mesh mesh = GetComponent<MeshFilter>().sharedMesh;
Debug.Log(VolumeOfMesh(mesh));
Related
Context
I've been trying to create a buoyancy script that samples the position of a point, tests if it's under a certain level (the "water level"), and adds a force on that position based on depth. Separately, I worked on creating a nice looking water shader in Shadergraph, and had the bright idea to add in waves using the Simple Noise node + vertex displacement.
However, the only way (I could think of) to use those displaced values as the float "water level" was to rewrite the entire node tree in C#, and use that to sample the "water level" at that position.
Problem
For some reason, the final displaced mesh and the calculated positions are different, causing the buoyancy script to assume that the "water level" is higher/lower than it is. The difference isn't large, so I'm assuming there's an error somewhere within either the C# Node Graph or C# Simple Noise translation.
Is that correct? If so, where and what's my misunderstanding? If not, what else could have gone wrong?
Approach
Node Graph
Image of the node graph for the wave vector displacement
*If you need zoomed in pictures, let me know!
All things considered, it's relatively simple. It:
Takes the world position as a UV, and offsets and tiles it.
Feeds the UV to a Simple Noise node, and multiplies the noise by a strength.
Clamps the output.
Repeats 1-3 again and adds both together for more detail.
Replaces the Y value of the vertex position with the combined wave value.
C# Script
using System.Collections;
using System.Collections.Generic;
using UnityEngine;
public class WaveHeightCalculator : MonoBehaviour
{
// Step 1
[SerializeField] Material _waterMaterial;
[Header("Waves")]
[SerializeField] float _waveTiling;
[SerializeField] float _waveOffset;
[SerializeField] float _waveMin;
[SerializeField] float _waveMax;
[Header("Small Waves")]
[SerializeField] float _wavesSmallScale;
[SerializeField] float _wavesSmallStrength;
[SerializeField] Vector2 _wavesSmallVelocity;
[Header("Large Waves")]
[SerializeField] float _wavesLargeScale;
[SerializeField] float _wavesLargeStrength;
[SerializeField] Vector2 _wavesLargeVelocity;
// Step 2
private void OnValidate()
{
_waterMaterial = GetComponent<Renderer>().sharedMaterial;
SetVariables();
}
void SetVariables()
{
_waveTiling = _waterMaterial.GetFloat("_Wave_Tiling");
_waveOffset = _waterMaterial.GetFloat("_Wave_Offset");
_waveMin = _waterMaterial.GetFloat("_Wave_Min");
_waveMax = _waterMaterial.GetFloat("_Wave_Max");
_wavesSmallScale = _waterMaterial.GetFloat("_Waves_Small_Scale");
_wavesSmallStrength = _waterMaterial.GetFloat("_Waves_Small_Strength");
_wavesSmallVelocity = _waterMaterial.GetVector("_Waves_Small_Velocity");
_wavesLargeScale = _waterMaterial.GetFloat("_Waves_Large_Scale");
_wavesLargeStrength = _waterMaterial.GetFloat("_Waves_Large_Strength");
_wavesLargeVelocity = _waterMaterial.GetVector("_Waves_Large_Velocity");
}
// Step 3
public float GetWaveHeightAtPosition(Vector3 position)
{
Vector2 noiseMapUV;
noiseMapUV = new Vector2(position.x, position.z) * _waveTiling;
// Calculate Small Waves
Vector2 wavesSmallUVOffset = (Time.time / 20) * _wavesSmallVelocity;
float noiseValueAtUVPlusOffset = UnitySimpleNoiseAtUV(noiseMapUV + wavesSmallUVOffset, _wavesSmallScale);
float wavesSmall = noiseValueAtUVPlusOffset * _wavesSmallStrength;
// Calculate Large Waves
Vector2 wavesLargeUVOffset = (Time.time / 20) * _wavesLargeVelocity;
noiseValueAtUVPlusOffset = UnitySimpleNoiseAtUV(noiseMapUV + wavesLargeUVOffset, _wavesLargeScale);
float wavesLarge = noiseValueAtUVPlusOffset * _wavesLargeStrength;
// Combine
float waveHeight = wavesSmall + wavesLarge;
// Clamp
waveHeight = Mathf.Clamp(waveHeight, _waveMin, _waveMax);
// Offset
waveHeight += _waveOffset;
return waveHeight;
}
In the C# script, a couple of things are going on. Here's my thought process for it:
It assigns the relevant material properties to member variables.
It sets those variables in the OnValidate() function.
It uses those variables to calculate the wave value; equivalent to the "water level".
The script also contains and relies on my best attempt at translating the Simple Noise node from "Show Generated Code", which looked liked this.
Generated Code
inline float Unity_SimpleNoise_RandomValue_float (float2 uv)
{
float angle = dot(uv, float2(12.9898, 78.233));
#if defined(SHADER_API_MOBILE) && (defined(SHADER_API_GLES) || defined(SHADER_API_GLES3) || defined(SHADER_API_VULKAN))
// 'sin()' has bad precision on Mali GPUs for inputs > 10000
angle = fmod(angle, TWO_PI); // Avoid large inputs to sin()
#endif
return frac(sin(angle)*43758.5453);
}
inline float Unity_SimpleNnoise_Interpolate_float (float a, float b, float t)
{
return (1.0-t)*a + (t*b);
}
inline float Unity_SimpleNoise_ValueNoise_float (float2 uv)
{
float2 i = floor(uv);
float2 f = frac(uv);
f = f * f * (3.0 - 2.0 * f);
uv = abs(frac(uv) - 0.5);
float2 c0 = i + float2(0.0, 0.0);
float2 c1 = i + float2(1.0, 0.0);
float2 c2 = i + float2(0.0, 1.0);
float2 c3 = i + float2(1.0, 1.0);
float r0 = Unity_SimpleNoise_RandomValue_float(c0);
float r1 = Unity_SimpleNoise_RandomValue_float(c1);
float r2 = Unity_SimpleNoise_RandomValue_float(c2);
float r3 = Unity_SimpleNoise_RandomValue_float(c3);
float bottomOfGrid = Unity_SimpleNnoise_Interpolate_float(r0, r1, f.x);
float topOfGrid = Unity_SimpleNnoise_Interpolate_float(r2, r3, f.x);
float t = Unity_SimpleNnoise_Interpolate_float(bottomOfGrid, topOfGrid, f.y);
return t;
}
void Unity_SimpleNoise_float(float2 UV, float Scale, out float Out)
{
float t = 0.0;
float freq = pow(2.0, float(0));
float amp = pow(0.5, float(3-0));
t += Unity_SimpleNoise_ValueNoise_float(float2(UV.x*Scale/freq, UV.y*Scale/freq))*amp;
freq = pow(2.0, float(1));
amp = pow(0.5, float(3-1));
t += Unity_SimpleNoise_ValueNoise_float(float2(UV.x*Scale/freq, UV.y*Scale/freq))*amp;
freq = pow(2.0, float(2));
amp = pow(0.5, float(3-2));
t += Unity_SimpleNoise_ValueNoise_float(float2(UV.x*Scale/freq, UV.y*Scale/freq))*amp;
Out = t;
}
/* WARNING: $splice Could not find named fragment 'CustomInterpolatorPreVertex' */
// Graph Vertex
// GraphVertex: <None>
/* WARNING: $splice Could not find named fragment 'CustomInterpolatorPreSurface' */
// Graph Pixel
struct SurfaceDescription
{
float4 Out;
};
Translated Code
float float_frac(float x) { return x - Mathf.Floor(x);}
Vector2 frac(Vector2 x) { return x - new Vector2(Mathf.Floor(x.x), Mathf.Floor(x.y));}
float sin(float x) { return Mathf.Sin(x);}
float dot(Vector2 a, Vector2 b) { return a.x * b.x + a.y * b.y;}
float float_floor(float x) { return Mathf.Floor(x);}
Vector2 floor(Vector2 x) { return new Vector2(Mathf.Floor(x.x), Mathf.Floor(x.y));}
float float_abs(float x) { return Mathf.Abs(x);}
Vector2 abs(Vector2 x) { return new Vector2(Mathf.Abs(x.x), Mathf.Abs(x.y));}
float pow (float x, float y) { return Mathf.Pow(x, y);}
float Unity_SimpleNoise_RandomValue_float (Vector2 uv)
{
float angle = dot(uv, new Vector2(12.9898f, 78.233f));
return float_frac(sin(angle) * 43758.5453f);
}
float Unity_SimpleNnoise_Interpolate_float (float a, float b, float t)
{
return (1.0f - t) * a + (t * b);
}
float Unity_SimpleNoise_ValueNoise_float (Vector2 uv)
{
Vector2 i = floor(uv);
Vector2 f = frac(uv);
f = (f * f) * (new Vector2 (3.0f, 3.0f) - new Vector2(2.0f, 2.0f) * f);
uv = abs(frac(uv) - new Vector2 (0.5f, 0.5f));
Vector2 c0 = i + new Vector2(0.0f, 0.0f);
Vector2 c1 = i + new Vector2(1.0f, 0.0f);
Vector2 c2 = i + new Vector2(0.0f, 1.0f);
Vector2 c3 = i + new Vector2(1.0f, 1.0f);
float r0 = Unity_SimpleNoise_RandomValue_float(c0);
float r1 = Unity_SimpleNoise_RandomValue_float(c1);
float r2 = Unity_SimpleNoise_RandomValue_float(c2);
float r3 = Unity_SimpleNoise_RandomValue_float(c3);
float bottomOfGrid = Unity_SimpleNnoise_Interpolate_float(r0, r1, f.x);
float topOfGrid = Unity_SimpleNnoise_Interpolate_float(r2, r3, f.x);
float t = Unity_SimpleNnoise_Interpolate_float(bottomOfGrid, topOfGrid, f.y);
return t;
}
float UnitySimpleNoiseAtUV(Vector2 UV, float Scale)
{
float t = 0.0f;
float freq = pow(2.0f, 0);
float amp = pow(0.5f, 3-0);
t += Unity_SimpleNoise_ValueNoise_float(new Vector2(UV.x*Scale/freq, UV.y*Scale/freq))*amp;
freq = pow(2.0f, 1);
amp = pow(0.5f, 3-1);
t += Unity_SimpleNoise_ValueNoise_float(new Vector2(UV.x * Scale / freq, UV.y * Scale / freq)) * amp;
freq = pow(2.0f, 2);
amp = pow(0.5f, 3-2);
t += Unity_SimpleNoise_ValueNoise_float(new Vector2(UV.x * Scale / freq, UV.y * Scale / freq)) * amp;
return t;
}
There is a code for a drawing circle with LineRenderer.
but I want to draw multiple circles with different radius, I used "for loop" but there is one circle instead of multiple
public float ThetaScale = 0.01f;
public float radius = 3f;
private int Size;
private LineRenderer LineDrawer;
private float Theta = 0f;
void Start ()
{
LineDrawer = GetComponent<LineRenderer>();
}
void Update ()
{
Theta = 0f;
Size = (int)((1f / ThetaScale) + 1f);
LineDrawer.SetVertexCount(Size);
for (int l = 0; l < 5; l++)
{
for(int i = 0; i < Size; i++)
{
Theta += (2.0f * Mathf.PI * ThetaScale);
float x = l * radius * Mathf.Cos(Theta);
float y = l * radius * Mathf.Sin(Theta);
LineDrawer.SetPosition(i, new Vector3(x, 0, y));
}
}
}
In every loop you always overwrite the same positions indices in the same line renderer. So you will always only have the last circle.
Note that it is also quite expensive to use SetPoisition repeatedly. As it says in the API you should rather work on an array and then use SetPoisitions to assign all positions at once.
One thing is a bit unclear though: If you use one single LineRenderer you won't get independent circles but they will always be connected at some point. Otherwise you would need 5 separated LineRenderer instances.
Option A: 5 circles but connected to each other since part of a single LineRenderer
void Start ()
{
LineDrawer = GetComponent<LineRenderer>();
LineDrawer.loop = false;
Theta = 0f;
// Use one position more to close the circle
Size = (int)((1f / ThetaScale) + 1f) + 1;
LineDrawer.positionCount = 5 * Size;
var positions = new Vector3[5 * Size];
for (int l = 0; l < 5; l++)
{
for(int i = 0; i < Size; i++)
{
Theta += (2.0f * Mathf.PI * ThetaScale);
float x = l * radius * Mathf.Cos(Theta);
float y = l * radius * Mathf.Sin(Theta);
positions[5 * l + i] = new Vector3(x, 0, y);
}
}
LineDrawer.SetPositions(positions);
}
Option B: 5 separated circles in 5 separated LineRenderers
// Drag 5 individual LineRenderer here via the Inspector
public LineRenderer[] lines = new LineRenderer[5];
void Start ()
{
foreach(var line in lines)
{
line.loop = true;
Theta = 0f;
Size = (int)((1f / ThetaScale) + 1f);
line.positionCount = Size;
var positions = new Vector3[Size];
for(int i = 0; i < Size; i++)
{
Theta += (2.0f * Mathf.PI * ThetaScale);
float x = l * radius * Mathf.Cos(Theta);
float y = l * radius * Mathf.Sin(Theta);
positions[5 * l + i] = new Vector3(x, 0, y);
}
line.SetPositions(positions);
}
}
You missed few details here and there. Here, this will work:
using UnityEngine;
[ExecuteAlways]
[RequireComponent( typeof(LineRenderer) )]
public class CircularBehaviour : MonoBehaviour
{
[SerializeField][Min(3)] int _numSegments = 16;
[SerializeField][Min(1)] int _numCircles = 5;
[SerializeField] float _radius = 3f;
LineRenderer _lineRenderer;
void Awake ()
{
_lineRenderer = GetComponent<LineRenderer>();
_lineRenderer.loop = false;
_lineRenderer.useWorldSpace = false;
}
void Update ()
{
const float TAU = 2f * Mathf.PI;
float theta = TAU / (float)_numSegments;
int numVertices = _numSegments + 1;
_lineRenderer.positionCount = numVertices * _numCircles;
int vert = 0;
for( int l=1 ; l<=_numCircles ; l++ )
{
float r = _radius * (float)l;
for( int i=0 ; i<numVertices ; i++ )
{
float f = theta * (float)i;
Vector3 v = new Vector3{ x=Mathf.Cos(f) , y=Mathf.Sin(f) } * r;
_lineRenderer.SetPosition( vert++ , v );
}
}
}
}
But
as #derHugo explained, this is not what you're looking for exactly as all circles will be drawn connected.
I am suppose to implement a CatMull Rom Spline, and I have it implemented, but the sphere moves to the points extremely fast. I thought if I used Time.DeltaTime it would slow it down, but it moves too rapidly.
Function to compute point on curve:
Vector3 ComputePointOnCatmullRomCurve(float u, int segmentNumber)
{
// TODO - compute and return a point as a Vector3
// Points on segment number 0 start at controlPoints[0] and end at controlPoints[1]
// Points on segment number 1 start at controlPoints[1] and end at controlPoints[2]
// etc...
Vector3 point = new Vector3();
float c0 = ((-u + 2f) * u - 1f) * u * 0.5f;
float c1 = (((3f * u - 5f) * u) * u + 2f) * 0.5f;
float c2 = ((-3f * u + 4f) * u + 1f) * u * 0.5f;
float c3 = ((u - 1f) * u * u) * 0.5f;
Vector3 p0 = controlPoints[(segmentNumber - 1) % NumberOfPoints];
Vector3 p1 = controlPoints[segmentNumber % NumberOfPoints];
Vector3 p2 = controlPoints[(segmentNumber + 1) % NumberOfPoints];
Vector3 p3 = controlPoints[(segmentNumber + 2) % NumberOfPoints];
point.x = (p0.x * c0) + (p1.x * c1) + (p2.x * c2) + (p3.x * c3);
point.y = (p0.y * c0) + (p1.y * c1) + (p2.y * c2) + (p3.y * c3);
point.x = (p0.z * c0) + (p1.z * c1) + (p2.z * c2) + (p3.z * c3);
return point;
}
**Update Function: **
void Update ()
{
// TODO - use time to determine values for u and segment_number in this function call
// 0.5 Can be used as u
time += DT;
segCounter++;
Vector3 temp = ComputePointOnCatmullRomCurve(time, segCounter);
transform.position = temp;
}
Variables:
const int NumberOfPoints = 8;
Vector3[] controlPoints;
const int MinX = -5;
const int MinY = -5;
const int MinZ = 0;
const int MaxX = 5;
const int MaxY = 5;
const int MaxZ = 5;
float time = 0;
const float DT = 0.01f;
public static int segCounter = 0;
EDIT: Sorry the calculations, and all of that is correct. It's straight from the slides, I just need help with the update function :(
Using Time.deltaTime allows you to be framerate independent. This means that if the framerate drops, or a frame takes longer than the others, your object will adapt the moving distance to keep a constant speed. This is generally a good idea.
Back to your case: Basically you want to pass a position to your function. You currently pass the time. If your catmull rom considers that 0 is the start and 1 is the destination, then after exactly 1 second, you will be at the end of the spline. (Note that this is where being framerate independent is interesting: Whatever the frame rate is. you reach the end in one second). Now, how to convert from time to position. Easy
position = time*speed;
Since time is in second, speed is in units per seconds. Say your catmullrom is one unit long. If speed is two, if will take one second to travel it twice. so half a second to travel it. Since you want to lower the speed, you might want to use values below 1. Try this:
void Update ()
{
time += Time.deltaTime;
var speed = 0.1f;
var splinePos = speed * time;
segCounter++;
Vector3 temp = ComputePointOnCatmullRomCurve(splinePos, segCounter);
transform.position = temp;
}
I am working on creating an Ofscreen Enemy indicator using the tutorial mentioned on below link. However I can get the indicator to rotate to point to the enemy but the indicator does not move from end to end of screen.
http://gamedevelopment.tutsplus.com/tutorials/positioning-on-screen-indicators-to-point-to-off-screen-targets--gamedev-6644
This is the desired outcome:
Until now i have managed to figure out the below Please help.
var screenCenter:Vector3 = new Vector3(0.5, 0.5, 0f);
//Note coordinates are translated
//Make 00 the centre of the screen instead of bottom left
screenpos -= screenCenter;
//find angle from center of screen instead of bototom left
var angle:float = Mathf.Atan2(screenpos.y, screenpos.x);
angle -= 90 * Mathf.Deg2Rad;
var cos:float = Mathf.Cos(angle);
var sin:float = -Mathf.Cos(angle);
screenpos = screenCenter + new Vector3(sin*150, cos*150, 0);
//y=mx + b format
var m:float = cos/sin;
var ScreenBounds:Vector3 = screenCenter;// * 0.9f;
//Check up and down first
if(cos > 0){
screenpos = new Vector3(ScreenBounds.y/m, ScreenBounds.y, 0);
}else{//down
screenpos = new Vector3(-ScreenBounds.y/m, -ScreenBounds.y, 0);
}
//If out of bound then get point on appropriate side
if(screenpos.x > ScreenBounds.x){//Out of bound must be on right
screenpos = new Vector3(ScreenBounds.x, ScreenBounds.y*m, 0);
}else if(screenpos.x < ScreenBounds.x){//Out of bound must be on left
screenpos = new Vector3(-ScreenBounds.x, -ScreenBounds.y*m, 0);
}
//Remove the co ordinate translation
screenpos += screenCenter;
var DistanceIndicatorRectT = DistanceIndicator.GetComponent(RectTransform);
DistanceIndicatorRectT.localPosition = new Vector3(screenpos.x * scrWidth/2, screenpos.y * scrHeight/2, DistanceIndicatorRectT.localPosition.z * screenpos.z);
DistanceIndicator.transform.rotation = Quaternion.Euler(0, 0, angle*Mathf.Rad2Deg);
I did a bit of a different approach than you, what Carlos suggested but without using physics.
If "t" is your target, this way you can get it's position on screen in pixels (if it's off screen it just goes to negative values or values higher that width)
Vector3 targetPosOnScreen = Camera.main.WorldToScreenPoint (t.position);
And this function that return a bool whether the Vector3 (in pixels) is on screen
bool onScreen(Vector2 input){
return !(input.x > Screen.width || input.x < 0 || input.y > Screen.height || input.y < 0);
}
First thing we should do is check if the target is on screen, if it's not then proceed with code.
if (onScreen (targetPosOnScreen)) {
//Some code to destroy indicator or make it invisible
return;
}
Then a simple calculation of angle between center of screen and target.
Vector3 center = new Vector3 (Screen.width / 2f, Screen.height / 2f, 0);
float angle = Mathf.Atan2(targetPosOnScreen.y-center.y, targetPosOnScreen.x-center.x) * Mathf.Rad2Deg;
Next part of code determines where the object is compared to camera based on angle we just calculated.
float coef;
if (Screen.width > Screen.height)
coef = Screen.width / Screen.height;
else
coef = Screen.height / Screen.width;
float degreeRange = 360f / (coef + 1);
if(angle < 0) angle = angle + 360;
int edgeLine;
if(angle < degreeRange / 4f) edgeLine = 0;
else if (angle < 180 - degreeRange / 4f) edgeLine = 1;
else if (angle < 180 + degreeRange / 4f) edgeLine = 2;
else if (angle < 360 - degreeRange / 4f) edgeLine = 3;
else edgeLine = 0;
http://s23.postimg.org/ytpm82ad7/Untitled_1.png
Image represents what value "edgeLine" will have based on target position (red represents camera's view) and black lines division of space.
And then we have this code which sets Transform "t2" (indicator) to correct position and angle.
t2.position = Camera.main.ScreenToWorldPoint(intersect(edgeLine, center, targetPosOnScreen)+new Vector3(0,0,10));
t2.eulerAngles = new Vector3 (0, 0, angle);
Below we have function "intersect" which code is:
Vector3 intersect(int edgeLine, Vector3 line2point1, Vector3 line2point2){
float[] A1 = {-Screen.height, 0, Screen.height, 0};
float[] B1 = {0, -Screen.width, 0, Screen.width};
float[] C1 = {-Screen.width * Screen.height,-Screen.width * Screen.height,0, 0};
float A2 = line2point2.y - line2point1.y;
float B2 = line2point1.x - line2point2.x;
float C2 = A2 * line2point1.x + B2 * line2point1.y;
float det = A1[edgeLine] * B2 - A2 * B1[edgeLine];
return new Vector3 ((B2 * C1[edgeLine] - B1[edgeLine] * C2) / det, (A1[edgeLine] * C2 - A2 * C1[edgeLine]) / det, 0);
}
We send to this function index of which line of camera's view (rectangle) we need to check intersection with, and construct a line between center of screen and target position.
For better explanation of this function look here : https://www.topcoder.com/community/data-science/data-science-tutorials/geometry-concepts-line-intersection-and-its-applications/
I just modified values of A1, B1 and C1, each of them is now array of 4 and each values represents value needed for one line of camera's view (rectangle).
If you want to implement margins just change the pivot of indicator (put the actual sprite renderer as child and move it in local space as you want).
Next thing would be making this work for array of targets and putting all those targets in given array. Hope this helps and don't be too hard on me, it's my first time posting here :)
Create a rectangle box collider delimiting the borders of the screen and use Physics2D.Raycast in the direction of the enemy.
The point of collision will tell you where the green arrow needs to be drawn.
In the example above, there is an error with the definition of the angle of visibility of a straight rectangle.
private void SetIndicatorPosition(Indicator obj)
{
var target = obj.Target;
var indicator = obj.PointToTarget;
if (target == null)
{
indicator.SetActive(false);
return;
}
Vector3 targetPosOnScreen = cam.WorldToScreenPoint(target.transform.position);
if (onScreen(targetPosOnScreen))
{
indicator.SetActive(false);
return;
}
indicator.SetActive(true);
Vector3 center = new Vector3(Screen.width / 2f, Screen.height / 2f, 0);
float angle = Mathf.Atan2(targetPosOnScreen.y - center.y, targetPosOnScreen.x - center.x) * Mathf.Rad2Deg;
float scale;
if (Screen.width > Screen.height)
scale = Screen.width / Screen.height;
else
scale = Screen.height / Screen.width;
float degreeRange = 360f / (scale + 1);
float angle2 = Mathf.Atan2(Screen.height - center.y, Screen.width - center.x) * Mathf.Rad2Deg;
if (angle < 0) angle = angle + 360;
int edgeLine;
if (angle < angle2) edgeLine = 0;
else if (angle < 180 - angle2) edgeLine = 1;
else if (angle < 180 + angle2) edgeLine = 2;
else if (angle < 360 - angle2) edgeLine = 3;
else edgeLine = 0;
indicator.transform.position = Camera.main.ScreenToWorldPoint(Intersect(edgeLine, center, targetPosOnScreen));
indicator.transform.eulerAngles = new Vector3(0, 0, angle);
}
Vector3 Intersect(int edgeLine, Vector3 line2point1, Vector3 line2point2)
{
float[] A1 = { -Screen.height, 0, Screen.height, 0 };
float[] B1 = { 0, -Screen.width, 0, Screen.width };
float[] C1 = { -Screen.width * Screen.height, -Screen.width * Screen.height, 0, 0 };
float A2 = line2point2.y - line2point1.y;
float B2 = line2point1.x - line2point2.x;
float C2 = A2 * line2point1.x + B2 * line2point1.y;
float det = A1[edgeLine] * B2 - A2 * B1[edgeLine];
var x = (B2 * C1[edgeLine] - B1[edgeLine] * C2) / det;
var y = (A1[edgeLine] * C2 - A2 * C1[edgeLine]) / det;
return new Vector3(x, y, 0);
}
bool onScreen(Vector2 input)
{
return !(input.x > Screen.width || input.x < 0 || input.y > Screen.height || input.y < 0);
}
public class Indicator
{
public GameObject Target { get; private set; }
public GameObject PointToTarget { get; private set; }
public Indicator(GameObject target, GameObject pointToTarget, ObjectTypeEnum type)
{
Target = target;
PointToTarget = pointToTarget;
var texture = pointToTarget.GetComponentInChildren<UITexture>();
if (texture != null)
{
texture.color = Helper.GetHintColor(type);
}
}
}
You can call in update
foreach (var obj in listIndicator)
{
SetIndicatorPosition(obj);
}
I am following the quaternion tutorial: http://www.raywenderlich.com/12667/how-to-rotate-a-3d-object-using-touches-with-opengl and am trying to rotate a globe to some XYZ location. I have an initial quaternion and generate a random XYZ location on the surface of the globe. I pass that XYZ location into the following function. The idea was to generate a lookAt vector with GLKMatrix4MakeLookAt and define the end Quaternion for the slerp step from the lookAt matrix.
- (void)rotateToLocationX:(float)x andY:(float)y andZ:(float)z {
// Turn on the interpolation for smooth rotation
_slerping = YES; // Begin auto rotating to this location
_slerpCur = 0;
_slerpMax = 1.0;
_slerpStart = _quat;
// The eye location is defined by the look at location multiplied by this modifier
float modifier = 1.0;
// Create a look at vector for which we will create a GLK4Matrix from
float xEye = x;
float yEye = y;
float zEye = z;
//NSLog(#"%f %f %f %f %f %f",xEye, yEye, zEye, x, y, z);
_currentSatelliteLocation = GLKMatrix4MakeLookAt(xEye, yEye, zEye, 0, 0, 0, 0, 1, 0);
_currentSatelliteLocation = GLKMatrix4Multiply(_currentSatelliteLocation,self.effect.transform.modelviewMatrix);
// Turn our 4x4 matrix into a quat and use it to mark the end point of our interpolation
//_currentSatelliteLocation = GLKMatrix4Translate(_currentSatelliteLocation, 0.0f, 0.0f, GLOBAL_EARTH_Z_LOCATION);
_slerpEnd = GLKQuaternionMakeWithMatrix4(_currentSatelliteLocation);
// Print info on the quat
GLKVector3 vec = GLKQuaternionAxis(_slerpEnd);
float angle = GLKQuaternionAngle(_slerpEnd);
//NSLog(#"%f %f %f %f",vec.x,vec.y,vec.z,angle);
NSLog(#"Quat end:");
[self printMatrix:_currentSatelliteLocation];
//[self printMatrix:self.effect.transform.modelviewMatrix];
}
The interpolation works, I get a smooth rotation, however the ending location is never the XYZ I input - I know this because my globe is a sphere and I am calculating XYZ from Lat Lon. I want to look directly down the 'lookAt' vector toward the center of the earth from that lat/lon location on the surface of the globe after the rotation. I think it may have something to do with the up vector but I've tried everything that made sense.
What am I doing wrong - How can I define a final quaternion that when I finish rotating, looks down a vector to the XYZ on the surface of the globe? Thanks!
Is the following your meaning:
Your globe center is (0, 0, 0), radius is R, the start position is (0, 0, R), your final position is (0, R, 0), so rotate the globe 90 degrees around X-asix?
If so, just set lookat function eye position to your final position, the look at parameters to the globe center.
m_target.x = 0.0f;
m_target.y = 0.0f;
m_target.z = 1.0f;
m_right.x = 1.0f;
m_right.y = 0.0f;
m_right.z = 0.0f;
m_up.x = 0.0f;
m_up.y = 1.0f;
m_up.z = 0.0f;
void CCamera::RotateX( float amount )
{
Point3D target = m_target;
Point3D up = m_up;
amount = amount / 180 * PI;
m_target.x = (cos(PI / 2 - amount) * up.x) + (cos(amount) * target.x);
m_target.y = (cos(PI / 2 - amount) * up.y) + (cos(amount) * target.y);
m_target.z = (cos(PI / 2 - amount) * up.z) + (cos(amount) * target.z);
m_up.x = (cos(amount) * up.x) + (cos(PI / 2 + amount) * target.x);
m_up.y = (cos(amount) * up.y) + (cos(PI / 2 + amount) * target.y);
m_up.z = (cos(amount) * up.z) + (cos(PI / 2 + amount) * target.z);
Normalize(m_target);
Normalize(m_up);
}
void CCamera::RotateY( float amount )
{
Point3D target = m_target;
Point3D right = m_right;
amount = amount / 180 * PI;
m_target.x = (cos(PI / 2 + amount) * right.x) + (cos(amount) * target.x);
m_target.y = (cos(PI / 2 + amount) * right.y) + (cos(amount) * target.y);
m_target.z = (cos(PI / 2 + amount) * right.z) + (cos(amount) * target.z);
m_right.x = (cos(amount) * right.x) + (cos(PI / 2 - amount) * target.x);
m_right.y = (cos(amount) * right.y) + (cos(PI / 2 - amount) * target.y);
m_right.z = (cos(amount) * right.z) + (cos(PI / 2 - amount) * target.z);
Normalize(m_target);
Normalize(m_right);
}
void CCamera::RotateZ( float amount )
{
Point3D right = m_right;
Point3D up = m_up;
amount = amount / 180 * PI;
m_up.x = (cos(amount) * up.x) + (cos(PI / 2 - amount) * right.x);
m_up.y = (cos(amount) * up.y) + (cos(PI / 2 - amount) * right.y);
m_up.z = (cos(amount) * up.z) + (cos(PI / 2 - amount) * right.z);
m_right.x = (cos(PI / 2 + amount) * up.x) + (cos(amount) * right.x);
m_right.y = (cos(PI / 2 + amount) * up.y) + (cos(amount) * right.y);
m_right.z = (cos(PI / 2 + amount) * up.z) + (cos(amount) * right.z);
Normalize(m_right);
Normalize(m_up);
}
void CCamera::Normalize( Point3D &p )
{
float length = sqrt(p.x * p.x + p.y * p.y + p.z * p.z);
if (1 == length || 0 == length)
{
return;
}
float scaleFactor = 1.0 / length;
p.x *= scaleFactor;
p.y *= scaleFactor;
p.z *= scaleFactor;
}
The answer to this question is a combination of the following rotateTo function and a change to the code from Ray's tutorial at ( http://www.raywenderlich.com/12667/how-to-rotate-a-3d-object-using-touches-with-opengl ). As one of the comments on that article says there is an arbitrary factor of 2.0 being multiplied in GLKQuaternion Q_rot = GLKQuaternionMakeWithAngleAndVector3Axis(angle * 2.0, axis);. Remove that "2" and use the following function to create the _slerpEnd - after that the globe will rotate smoothly to XYZ specified.
// Rotate the globe using Slerp interpolation to an XYZ coordinate
- (void)rotateToLocationX:(float)x andY:(float)y andZ:(float)z {
// Turn on the interpolation for smooth rotation
_slerping = YES; // Begin auto rotating to this location
_slerpCur = 0;
_slerpMax = 1.0;
_slerpStart = _quat;
// Create a look at vector for which we will create a GLK4Matrix from
float xEye = x;
float yEye = y;
float zEye = z;
_currentSatelliteLocation = GLKMatrix4MakeLookAt(xEye, yEye, zEye, 0, 0, 0, 0, 1, 0);
// Turn our 4x4 matrix into a quat and use it to mark the end point of our interpolation
_slerpEnd = GLKQuaternionMakeWithMatrix4(_currentSatelliteLocation);
}