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  • OpenGL Projection matrix won't allow displaying anything

    - by user272973
    I'm trying to get some basic OpenGL-ES with Shaders to run on the iPhone, based on some examples. For some reason my projection matrix refuses to result in something on the screen. It feels like a clipping plane is set very near but that contradicts with the values I supply. If I render the same scene with an Orthogonal projection matrix I see my object just no perspective obviously. Here's the code that generates the projection matrix: esPerspective(&proj, 45.f, 768.0/1024.0, 1.f, 10000.f); void esPerspective(ESMatrix *result, float fovy, float aspect, float nearZ, float farZ) { float frustumW, frustumH; frustumH = tanf( fovy / 360.0f * PI ) * nearZ; frustumW = frustumH * aspect; esFrustum( result, -frustumW, frustumW, -frustumH, frustumH, nearZ, farZ ); } void esFrustum(ESMatrix *result, float left, float right, float bottom, float top, float nearZ, float farZ) { float deltaX = right - left; float deltaY = top - bottom; float deltaZ = farZ - nearZ; ESMatrix frust; if ( (nearZ <= 0.0f) || (farZ <= 0.0f) || (deltaX <= 0.0f) || (deltaY <= 0.0f) || (deltaZ <= 0.0f) ) return; frust.m[0][0] = 2.0f * nearZ / deltaX; frust.m[0][1] = frust.m[0][2] = frust.m[0][3] = 0.0f; frust.m[1][1] = 2.0f * nearZ / deltaY; frust.m[1][0] = frust.m[1][2] = frust.m[1][3] = 0.0f; frust.m[2][0] = (right + left) / deltaX; frust.m[2][1] = (top + bottom) / deltaY; frust.m[2][2] = -(nearZ + farZ) / deltaZ; frust.m[2][3] = -1.0f; frust.m[3][2] = -2.0f * nearZ * farZ / deltaZ; frust.m[3][0] = frust.m[3][1] = frust.m[3][3] = 0.0f; esMatrixMultiply(result, &frust, result); } My projection matrix comes out as: [3.21, 0, 0, 0] [0, 2.41, 0, 0] [0, 0, -1, -1] [0, 0, -2, 0] Even if I manually set the [3][3] cell to 1 I still don't see anything. Any ideas?

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  • 2D OBB collision detection, resolving collisions?

    - by Milo
    I currently use OBBs and I have a vehicle that is a rigid body and some buildings. Here is my update() private void update() { camera.setPosition((vehicle.getPosition().x * camera.getScale()) - ((getWidth() ) / 2.0f), (vehicle.getPosition().y * camera.getScale()) - ((getHeight() ) / 2.0f)); //camera.move(input.getAnalogStick().getStickValueX() * 15.0f, input.getAnalogStick().getStickValueY() * 15.0f); if(input.isPressed(ControlButton.BUTTON_GAS)) { vehicle.setThrottle(1.0f, false); } if(input.isPressed(ControlButton.BUTTON_BRAKE)) { vehicle.setBrakes(1.0f); } vehicle.setSteering(input.getAnalogStick().getStickValueX()); vehicle.update(16.6666f / 1000.0f); ArrayList<Building> buildings = city.getBuildings(); for(Building b : buildings) { if(vehicle.getRect().overlaps(b.getRect())) { vehicle.update(-17.0f / 1000.0f); break; } } } The collision detection works well. What doesn't is how they are dealt with. My goal is simple. If the vehicle hits a building, it should stop, and never go into the building. When I apply negative torque to reverse the car should not feel buggy and move away from the building. I don't want this to look buggy. This is my rigid body class: class RigidBody extends Entity { //linear private Vector2D velocity = new Vector2D(); private Vector2D forces = new Vector2D(); private float mass; //angular private float angularVelocity; private float torque; private float inertia; //graphical private Vector2D halfSize = new Vector2D(); private Bitmap image; public RigidBody() { //set these defaults so we don't get divide by zeros mass = 1.0f; inertia = 1.0f; } //intialize out parameters public void initialize(Vector2D halfSize, float mass, Bitmap bitmap) { //store physical parameters this.halfSize = halfSize; this.mass = mass; image = bitmap; inertia = (1.0f / 20.0f) * (halfSize.x * halfSize.x) * (halfSize.y * halfSize.y) * mass; RectF rect = new RectF(); float scalar = 10.0f; rect.left = (int)-halfSize.x * scalar; rect.top = (int)-halfSize.y * scalar; rect.right = rect.left + (int)(halfSize.x * 2.0f * scalar); rect.bottom = rect.top + (int)(halfSize.y * 2.0f * scalar); setRect(rect); } public void setLocation(Vector2D position, float angle) { getRect().set(position, getWidth(), getHeight(), angle); } public Vector2D getPosition() { return getRect().getCenter(); } @Override public void update(float timeStep) { //integrate physics //linear Vector2D acceleration = Vector2D.scalarDivide(forces, mass); velocity = Vector2D.add(velocity, Vector2D.scalarMultiply(acceleration, timeStep)); Vector2D c = getRect().getCenter(); c = Vector2D.add(getRect().getCenter(), Vector2D.scalarMultiply(velocity , timeStep)); setCenter(c.x, c.y); forces = new Vector2D(0,0); //clear forces //angular float angAcc = torque / inertia; angularVelocity += angAcc * timeStep; setAngle(getAngle() + angularVelocity * timeStep); torque = 0; //clear torque } //take a relative Vector2D and make it a world Vector2D public Vector2D relativeToWorld(Vector2D relative) { Matrix mat = new Matrix(); float[] Vector2Ds = new float[2]; Vector2Ds[0] = relative.x; Vector2Ds[1] = relative.y; mat.postRotate(JMath.radToDeg(getAngle())); mat.mapVectors(Vector2Ds); return new Vector2D(Vector2Ds[0], Vector2Ds[1]); } //take a world Vector2D and make it a relative Vector2D public Vector2D worldToRelative(Vector2D world) { Matrix mat = new Matrix(); float[] Vectors = new float[2]; Vectors[0] = world.x; Vectors[1] = world.y; mat.postRotate(JMath.radToDeg(-getAngle())); mat.mapVectors(Vectors); return new Vector2D(Vectors[0], Vectors[1]); } //velocity of a point on body public Vector2D pointVelocity(Vector2D worldOffset) { Vector2D tangent = new Vector2D(-worldOffset.y, worldOffset.x); return Vector2D.add( Vector2D.scalarMultiply(tangent, angularVelocity) , velocity); } public void applyForce(Vector2D worldForce, Vector2D worldOffset) { //add linear force forces = Vector2D.add(forces ,worldForce); //add associated torque torque += Vector2D.cross(worldOffset, worldForce); } @Override public void draw( GraphicsContext c) { c.drawRotatedScaledBitmap(image, getPosition().x, getPosition().y, getWidth(), getHeight(), getAngle()); } } Essentially, when any rigid body hits a building it should exhibit the same behavior. How is collision solving usually done? Thanks

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  • Normal maps red in OpenGL?

    - by KaiserJohaan
    I am using Assimp to import 3d models, and FreeImage to parse textures. The problem I am having is that the normal maps are actually red rather than blue when I try to render them as normal diffuse textures. http://i42.tinypic.com/289ing3.png When I open the images in a image-viewing program they do indeed show up as blue. Heres when I create the texture; OpenGLTexture::OpenGLTexture(const std::vector<uint8_t>& textureData, uint32_t textureWidth, uint32_t textureHeight, TextureType textureType, Logger& logger) : mLogger(logger), mTextureID(gNextTextureID++), mTextureType(textureType) { glGenTextures(1, &mTexture); CHECK_GL_ERROR(mLogger); glBindTexture(GL_TEXTURE_2D, mTexture); CHECK_GL_ERROR(mLogger); glTexImage2D(GL_TEXTURE_2D, 0, GL_RGBA, textureWidth, textureHeight, 0, glTextureFormat, GL_UNSIGNED_BYTE, &textureData[0]); CHECK_GL_ERROR(mLogger); glGenerateMipmap(GL_TEXTURE_2D); CHECK_GL_ERROR(mLogger); glBindTexture(GL_TEXTURE_2D, 0); CHECK_GL_ERROR(mLogger); } Here is my fragment shader. You can see I just commented out the normal-map parsing and treated the normal map texture as the diffuse texture to display it and illustrate the problem. As for the rest of the code it interacts as expected with the diffuse textures so I dont see a obvious problem there. "#version 330 \n \ \n \ layout(std140) uniform; \n \ \n \ const int MAX_LIGHTS = 8; \n \ \n \ struct Light \n \ { \n \ vec4 mLightColor; \n \ vec4 mLightPosition; \n \ vec4 mLightDirection; \n \ \n \ int mLightType; \n \ float mLightIntensity; \n \ float mLightRadius; \n \ float mMaxDistance; \n \ }; \n \ \n \ uniform UnifLighting \n \ { \n \ vec4 mGamma; \n \ vec3 mViewDirection; \n \ int mNumLights; \n \ \n \ Light mLights[MAX_LIGHTS]; \n \ } Lighting; \n \ \n \ uniform UnifMaterial \n \ { \n \ vec4 mDiffuseColor; \n \ vec4 mAmbientColor; \n \ vec4 mSpecularColor; \n \ vec4 mEmissiveColor; \n \ \n \ bool mHasDiffuseTexture; \n \ bool mHasNormalTexture; \n \ bool mLightingEnabled; \n \ float mSpecularShininess; \n \ } Material; \n \ \n \ uniform sampler2D unifDiffuseTexture; \n \ uniform sampler2D unifNormalTexture; \n \ \n \ in vec3 frag_position; \n \ in vec3 frag_normal; \n \ in vec2 frag_texcoord; \n \ in vec3 frag_tangent; \n \ in vec3 frag_bitangent; \n \ \n \ out vec4 finalColor; " " \n \ \n \ void CalcGaussianSpecular(in vec3 dirToLight, in vec3 normal, out float gaussianTerm) \n \ { \n \ vec3 viewDirection = normalize(Lighting.mViewDirection); \n \ vec3 halfAngle = normalize(dirToLight + viewDirection); \n \ \n \ float angleNormalHalf = acos(dot(halfAngle, normalize(normal))); \n \ float exponent = angleNormalHalf / Material.mSpecularShininess; \n \ exponent = -(exponent * exponent); \n \ \n \ gaussianTerm = exp(exponent); \n \ } \n \ \n \ vec4 CalculateLighting(in Light light, in vec4 diffuseTexture, in vec3 normal) \n \ { \n \ if (light.mLightType == 1) // point light \n \ { \n \ vec3 positionDiff = light.mLightPosition.xyz - frag_position; \n \ float dist = max(length(positionDiff) - light.mLightRadius, 0); \n \ \n \ float attenuation = 1 / ((dist/light.mLightRadius + 1) * (dist/light.mLightRadius + 1)); \n \ attenuation = max((attenuation - light.mMaxDistance) / (1 - light.mMaxDistance), 0); \n \ \n \ vec3 dirToLight = normalize(positionDiff); \n \ float angleNormal = clamp(dot(normalize(normal), dirToLight), 0, 1); \n \ \n \ float gaussianTerm = 0.0; \n \ if (angleNormal > 0.0) \n \ CalcGaussianSpecular(dirToLight, normal, gaussianTerm); \n \ \n \ return diffuseTexture * (attenuation * angleNormal * Material.mDiffuseColor * light.mLightIntensity * light.mLightColor) + \n \ (attenuation * gaussianTerm * Material.mSpecularColor * light.mLightIntensity * light.mLightColor); \n \ } \n \ else if (light.mLightType == 2) // directional light \n \ { \n \ vec3 dirToLight = normalize(light.mLightDirection.xyz); \n \ float angleNormal = clamp(dot(normalize(normal), dirToLight), 0, 1); \n \ \n \ float gaussianTerm = 0.0; \n \ if (angleNormal > 0.0) \n \ CalcGaussianSpecular(dirToLight, normal, gaussianTerm); \n \ \n \ return diffuseTexture * (angleNormal * Material.mDiffuseColor * light.mLightIntensity * light.mLightColor) + \n \ (gaussianTerm * Material.mSpecularColor * light.mLightIntensity * light.mLightColor); \n \ } \n \ else if (light.mLightType == 4) // ambient light \n \ return diffuseTexture * Material.mAmbientColor * light.mLightIntensity * light.mLightColor; \n \ else \n \ return vec4(0.0); \n \ } \n \ \n \ void main() \n \ { \n \ vec4 diffuseTexture = vec4(1.0); \n \ if (Material.mHasDiffuseTexture) \n \ diffuseTexture = texture(unifDiffuseTexture, frag_texcoord); \n \ \n \ vec3 normal = frag_normal; \n \ if (Material.mHasNormalTexture) \n \ { \n \ diffuseTexture = vec4(normalize(texture(unifNormalTexture, frag_texcoord).xyz * 2.0 - 1.0), 1.0); \n \ // vec3 normalTangentSpace = normalize(texture(unifNormalTexture, frag_texcoord).xyz * 2.0 - 1.0); \n \ //mat3 tangentToWorldSpace = mat3(normalize(frag_tangent), normalize(frag_bitangent), normalize(frag_normal)); \n \ \n \ // normal = tangentToWorldSpace * normalTangentSpace; \n \ } \n \ \n \ if (Material.mLightingEnabled) \n \ { \n \ vec4 accumLighting = vec4(0.0); \n \ \n \ for (int lightIndex = 0; lightIndex < Lighting.mNumLights; lightIndex++) \n \ accumLighting += Material.mEmissiveColor * diffuseTexture + \n \ CalculateLighting(Lighting.mLights[lightIndex], diffuseTexture, normal); \n \ \n \ finalColor = pow(accumLighting, Lighting.mGamma); \n \ } \n \ else { \n \ finalColor = pow(diffuseTexture, Lighting.mGamma); \n \ } \n \ } \n"; Why is this? does normal-map textures need some sort of special treatment in opengl?

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  • How is conversion of float/double to int handled in printf?

    - by Sandip
    Consider this program int main() { float f = 11.22; double d = 44.55; int i,j; i = f; //cast float to int j = d; //cast double to int printf("i = %d, j = %d, f = %d, d = %d", i,j,f,d); //This prints the following: // i = 11, j = 44, f = -536870912, d = 1076261027 return 0; } Can someone explain why the casting from double/float to int works correctly in the first case, and does not work when done in printf? This program was compiled on gcc-4.1.2 on 32-bit linux machine.

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  • Trying to detect collision between two polygons using Separating Axis Theorem

    - by Holly
    The only collision experience i've had was with simple rectangles, i wanted to find something that would allow me to define polygonal areas for collision and have been trying to make sense of SAT using these two links Though i'm a bit iffy with the math for the most part i feel like i understand the theory! Except my implementation somewhere down the line must be off as: (excuse the hideous font) As mentioned above i have defined a CollisionPolygon class where most of my theory is implemented and then have a helper class called Vect which was meant to be for Vectors but has also been used to contain a vertex given that both just have two float values. I've tried stepping through the function and inspecting the values to solve things but given so many axes and vectors and new math to work out as i go i'm struggling to find the erroneous calculation(s) and would really appreciate any help. Apologies if this is not suitable as a question! CollisionPolygon.java: package biz.hireholly.gameplay; import android.graphics.Canvas; import android.graphics.Color; import android.graphics.Paint; import biz.hireholly.gameplay.Types.Vect; public class CollisionPolygon { Paint paint; private Vect[] vertices; private Vect[] separationAxes; CollisionPolygon(Vect[] vertices){ this.vertices = vertices; //compute edges and separations axes separationAxes = new Vect[vertices.length]; for (int i = 0; i < vertices.length; i++) { // get the current vertex Vect p1 = vertices[i]; // get the next vertex Vect p2 = vertices[i + 1 == vertices.length ? 0 : i + 1]; // subtract the two to get the edge vector Vect edge = p1.subtract(p2); // get either perpendicular vector Vect normal = edge.perp(); // the perp method is just (x, y) => (-y, x) or (y, -x) separationAxes[i] = normal; } paint = new Paint(); paint.setColor(Color.RED); } public void draw(Canvas c, int xPos, int yPos){ for (int i = 0; i < vertices.length; i++) { Vect v1 = vertices[i]; Vect v2 = vertices[i + 1 == vertices.length ? 0 : i + 1]; c.drawLine( xPos + v1.x, yPos + v1.y, xPos + v2.x, yPos + v2.y, paint); } } /* consider changing to a static function */ public boolean intersects(CollisionPolygon p){ // loop over this polygons separation exes for (Vect axis : separationAxes) { // project both shapes onto the axis Vect p1 = this.minMaxProjection(axis); Vect p2 = p.minMaxProjection(axis); // do the projections overlap? if (!p1.overlap(p2)) { // then we can guarantee that the shapes do not overlap return false; } } // loop over the other polygons separation axes Vect[] sepAxesOther = p.getSeparationAxes(); for (Vect axis : sepAxesOther) { // project both shapes onto the axis Vect p1 = this.minMaxProjection(axis); Vect p2 = p.minMaxProjection(axis); // do the projections overlap? if (!p1.overlap(p2)) { // then we can guarantee that the shapes do not overlap return false; } } // if we get here then we know that every axis had overlap on it // so we can guarantee an intersection return true; } /* Note projections wont actually be acurate if the axes aren't normalised * but that's not necessary since we just need a boolean return from our * intersects not a Minimum Translation Vector. */ private Vect minMaxProjection(Vect axis) { float min = axis.dot(vertices[0]); float max = min; for (int i = 1; i < vertices.length; i++) { float p = axis.dot(vertices[i]); if (p < min) { min = p; } else if (p > max) { max = p; } } Vect minMaxProj = new Vect(min, max); return minMaxProj; } public Vect[] getSeparationAxes() { return separationAxes; } public Vect[] getVertices() { return vertices; } } Vect.java: package biz.hireholly.gameplay.Types; /* NOTE: Can also be used to hold vertices! Projections, coordinates ect */ public class Vect{ public float x; public float y; public Vect(float x, float y){ this.x = x; this.y = y; } public Vect perp() { return new Vect(-y, x); } public Vect subtract(Vect other) { return new Vect(x - other.x, y - other.y); } public boolean overlap(Vect other) { if( other.x <= y || other.y >= x){ return true; } return false; } /* used specifically for my SAT implementation which i'm figuring out as i go, * references for later.. * http://www.gamedev.net/page/resources/_/technical/game-programming/2d-rotated-rectangle-collision-r2604 * http://www.codezealot.org/archives/55 */ public float scalarDotProjection(Vect other) { //multiplier = dot product / length^2 float multiplier = dot(other) / (x*x + y*y); //to get the x/y of the projection vector multiply by x/y of axis float projX = multiplier * x; float projY = multiplier * y; //we want to return the dot product of the projection, it's meaningless but useful in our SAT case return dot(new Vect(projX,projY)); } public float dot(Vect other){ return (other.x*x + other.y*y); } }

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  • Error in my Separating Axis Theorem collision code

    - by Holly
    The only collision experience i've had was with simple rectangles, i wanted to find something that would allow me to define polygonal areas for collision and have been trying to make sense of SAT using these two links Though i'm a bit iffy with the math for the most part i feel like i understand the theory! Except my implementation somewhere down the line must be off as: (excuse the hideous font) As mentioned above i have defined a CollisionPolygon class where most of my theory is implemented and then have a helper class called Vect which was meant to be for Vectors but has also been used to contain a vertex given that both just have two float values. I've tried stepping through the function and inspecting the values to solve things but given so many axes and vectors and new math to work out as i go i'm struggling to find the erroneous calculation(s) and would really appreciate any help. Apologies if this is not suitable as a question! CollisionPolygon.java: package biz.hireholly.gameplay; import android.graphics.Canvas; import android.graphics.Color; import android.graphics.Paint; import biz.hireholly.gameplay.Types.Vect; public class CollisionPolygon { Paint paint; private Vect[] vertices; private Vect[] separationAxes; int x; int y; CollisionPolygon(Vect[] vertices){ this.vertices = vertices; //compute edges and separations axes separationAxes = new Vect[vertices.length]; for (int i = 0; i < vertices.length; i++) { // get the current vertex Vect p1 = vertices[i]; // get the next vertex Vect p2 = vertices[i + 1 == vertices.length ? 0 : i + 1]; // subtract the two to get the edge vector Vect edge = p1.subtract(p2); // get either perpendicular vector Vect normal = edge.perp(); // the perp method is just (x, y) => (-y, x) or (y, -x) separationAxes[i] = normal; } paint = new Paint(); paint.setColor(Color.RED); } public void draw(Canvas c, int xPos, int yPos){ for (int i = 0; i < vertices.length; i++) { Vect v1 = vertices[i]; Vect v2 = vertices[i + 1 == vertices.length ? 0 : i + 1]; c.drawLine( xPos + v1.x, yPos + v1.y, xPos + v2.x, yPos + v2.y, paint); } } public void update(int xPos, int yPos){ x = xPos; y = yPos; } /* consider changing to a static function */ public boolean intersects(CollisionPolygon p){ // loop over this polygons separation exes for (Vect axis : separationAxes) { // project both shapes onto the axis Vect p1 = this.minMaxProjection(axis); Vect p2 = p.minMaxProjection(axis); // do the projections overlap? if (!p1.overlap(p2)) { // then we can guarantee that the shapes do not overlap return false; } } // loop over the other polygons separation axes Vect[] sepAxesOther = p.getSeparationAxes(); for (Vect axis : sepAxesOther) { // project both shapes onto the axis Vect p1 = this.minMaxProjection(axis); Vect p2 = p.minMaxProjection(axis); // do the projections overlap? if (!p1.overlap(p2)) { // then we can guarantee that the shapes do not overlap return false; } } // if we get here then we know that every axis had overlap on it // so we can guarantee an intersection return true; } /* Note projections wont actually be acurate if the axes aren't normalised * but that's not necessary since we just need a boolean return from our * intersects not a Minimum Translation Vector. */ private Vect minMaxProjection(Vect axis) { float min = axis.dot(new Vect(vertices[0].x+x, vertices[0].y+y)); float max = min; for (int i = 1; i < vertices.length; i++) { float p = axis.dot(new Vect(vertices[i].x+x, vertices[i].y+y)); if (p < min) { min = p; } else if (p > max) { max = p; } } Vect minMaxProj = new Vect(min, max); return minMaxProj; } public Vect[] getSeparationAxes() { return separationAxes; } public Vect[] getVertices() { return vertices; } } Vect.java: package biz.hireholly.gameplay.Types; /* NOTE: Can also be used to hold vertices! Projections, coordinates ect */ public class Vect{ public float x; public float y; public Vect(float x, float y){ this.x = x; this.y = y; } public Vect perp() { return new Vect(-y, x); } public Vect subtract(Vect other) { return new Vect(x - other.x, y - other.y); } public boolean overlap(Vect other) { if(y > other.x && other.y > x){ return true; } return false; } /* used specifically for my SAT implementation which i'm figuring out as i go, * references for later.. * http://www.gamedev.net/page/resources/_/technical/game-programming/2d-rotated-rectangle-collision-r2604 * http://www.codezealot.org/archives/55 */ public float scalarDotProjection(Vect other) { //multiplier = dot product / length^2 float multiplier = dot(other) / (x*x + y*y); //to get the x/y of the projection vector multiply by x/y of axis float projX = multiplier * x; float projY = multiplier * y; //we want to return the dot product of the projection, it's meaningless but useful in our SAT case return dot(new Vect(projX,projY)); } public float dot(Vect other){ return (other.x*x + other.y*y); } }

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  • Faster way to convert from 24 bit wav pcm format to float?

    - by LMO
    I need to read data in from a wav file in 24 bit pcm format, and convert to float. I'm using Python 2.7.2. The wave package reads the data in as a string, so what I've tried is: # read in entire wav file wdata = f.readframes(nFrames) # unpack into signed integers and convert to float data = array.array('f') for i in range(0,nFrames*3,3): data.append(float(struct.unpack('<i', '\x00'+ wdata[i:i+3])[0])) # normalize sample values data = data / 0x800000 This is quite a bit faster than my earlier approaches, but still quite slow. Can anyone suggest a more efficient method?

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  • Determining the angle to fire a shot when target and shooter moves, and bullet moves with shooter velocity added in

    - by Azaral
    I saw this question: Predicting enemy position in order to have an object lead its target and followed the link in the answer to stack overflow. In the stack overflow page I used the 2nd answer, the one that is a large mathematical derivation. My situation is a little different though. My first question though is will the answer provided in the stack overflow page even work to begin with, assuming the original circumstances of moving target and stationary shooter. My situation is a little different than that situation. My target moves, the shooter moves, and the bullets from the shooter start off with the velocities in x and y added to the bullets' x and y velocities. If you are sliding to the right, the bullets will remain in front of you as you move so as long as your velocity remains constant. What I'm trying to do is to get the enemy to be able to determine where they need to shoot in order to hit the player. Unless the player and enemy is stationary, the velocity from the ship adding to the velocity of the bullets will cause a miss. I'd rather like to prevent that. I used the formula in the stack overflow answer and did what I thought were the appropriate adjustments. I've been banging at this for the last four hours and I just can't make it click. It is probably something really simple and boneheaded that I am missing (that seems to be a lot of my problems lately). Here is the solution presented from the stack overflow answer: It boils down to solving a quadratic equation of the form: a * sqr(x) + b * x + c == 0 Note that by sqr I mean square, as opposed to square root. Use the following values: a := sqr(target.velocityX) + sqr(target.velocityY) - sqr(projectile_speed) b := 2 * (target.velocityX * (target.startX - cannon.X) + target.velocityY * (target.startY - cannon.Y)) c := sqr(target.startX - cannon.X) + sqr(target.startY - cannon.Y) Now we can look at the discriminant to determine if we have a possible solution. disc := sqr(b) - 4 * a * c If the discriminant is less than 0, forget about hitting your target -- your projectile can never get there in time. Otherwise, look at two candidate solutions: t1 := (-b + sqrt(disc)) / (2 * a) t2 := (-b - sqrt(disc)) / (2 * a) Note that if disc == 0 then t1 and t2 are equal. If there are no other considerations such as intervening obstacles, simply choose the smaller positive value. (Negative t values would require firing backward in time to use!) Substitute the chosen t value back into the target's position equations to get the coordinates of the leading point you should be aiming at: aim.X := t * target.velocityX + target.startX aim.Y := t * target.velocityY + target.startY Here is my code, after being corrected by Sam Hocevar (thank you again for your help!). It still doesn't work. For some reason it never enters the section of code inside the if(disc = 0) (obviously because it is always less than zero but...). However, if I plug the numbers from my game log on the enemy and player positions and velocities it outputs a valid firing solution. I have looked at the code side by side a couple of times now and I can't find any differences. There has got to be something simple I'm missing here. If someone else could look at this code and determine what is going on here I'd appreciate it. I know it's not going through that section because if it were, shouldShoot would become true and the enemy would be blasting away at the player. This section calls the function in question, CalculateShootHeading() if(shouldMove) { UseEngines(); } x += xVelocity; y += yVelocity; CalculateShootHeading(); if(shouldShoot) { ShootWeapons(); } UpdateWeapons(); This is CalculateShootHeading(). This is inside the enemy class so x and y are the enemy's x and y and the same with velocity. One output from my game log gives Player X = 2108, Player Y = -180.956, Player X velocity = 10.9949, Player Y Velocity = -6.26017, Enemy X = 1988.31, Enemy Y = -339.051, Enemy X velocity = 1.81666, Enemy Y velocity = -9.67762, 0 enemy projectiles. The output from the console tester is Bullet position = 2210.49, -239.313 and Player Position = 2210.49, -239.313. This doesn't make any sense. The only thing that could be different is the code or the input into my function in the game and I've checked that and I don't think that it is wrong as it's updated before this and never changed. float const bulletSpeed = 30.f; float const dx = playerX - x; float const dy = playerY - y; float const vx = playerXVelocity - xVelocity; float const vy = playerYVelocity - yVelocity; float const a = vx * vx + vy * vy - bulletSpeed * bulletSpeed; float const b = 2.f * (vx * dx + vy * dy); float const c = dx * dx + dy * dy; float const disc = b * b - 4.f * a * c; shouldShoot = false; if (disc >= 0.f) { float t0 = (-b - std::sqrt(disc)) / (2.f * a); float t1 = (-b + std::sqrt(disc)) / (2.f * a); if (t0 < 0.f || (t1 < t0 && t1 >= 0.f)) { t0 = t1; } if (t0 >= 0.f) { float shootx = vx + dx / t0; float shooty = vy + dy / t0; heading = std::atan2(shooty, shootx) * RAD2DEGREE; } shouldShoot = true; }

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  • How to sort an NSMutableArray of objects by a member of its class, that is an int or float

    - by J. Dave
    I have a class (from NSObject) that contains: NSString name int position float speed I then create an array (NSMutableArray) of objects from this class. I would like to then sort the array by the 'speed' value, which is a float. I initially has the float value as an NSNumber and the int as NSInteger, and I was successfully sorting with: [myMutableArray sortUsingFunction:compareSelector context:@selector(position)]; where myMutableArray is my array of objects. here is the function: static int compareSelector(id p1, id p2, void *context) { SEL methodSelector = (SEL)context; id value1 = [p1 performSelector:methodSelector]; id value2 = [p2 performSelector:methodSelector]; return [value1 compare:value2]; } Now that I am using int instead of NSInteger, the above code does not work. Is there a more low-level command that I should be using to execute the sort? Thank!

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  • In 3D camera math, calculate what Z depth is pixel unity for a given FOV

    - by badweasel
    I am working in iOS and OpenGL ES 2.0. Through trial and error I've figured out a frustum to where at a specific z depth pixels drawn are 1 to 1 with my source textures. So 1 pixel in my texture is 1 pixel on the screen. For 2d games this is good. Of course it means that I also factor in things like the size of the quad and the size of the texture. For example if my sprite is a quad 32x32 pixels. The quad size is 3.2 units wide and tall. And the texcoords are 32 / the size of the texture wide and tall. Then the frustum is: matrixFrustum(-(float)backingWidth/frustumScale,(float)backingWidth/frustumScale, -(float)backingHeight/frustumScale, (float)backingHeight/frustumScale, 40, 1000, mProjection); Where frustumScale is 800 for a retina screen. Then at a distance of 800 from camera the sprite is pixel for pixel the same as photoshop. For 3d games sometimes I still want to be able to do this. But depending on the scene I sometimes need the FOV to be different things. I'm looking for a way to figure out what Z depth will achieve this same pixel unity for a given FOV. For this my mProjection is set using: matrixPerspective(cameraFOV, near, far, (float)backingWidth / (float)backingHeight, mProjection); With testing I found that at an FOV of 45.0 a Z of 38.5 is very close to pixel unity. And at an FOV of 30.0 a Z of 59.5 is about right. But how can I calculate a value that is spot on? Here's my matrixPerspecitve code: void matrixPerspective(float angle, float near, float far, float aspect, mat4 m) { //float size = near * tanf(angle / 360.0 * M_PI); float size = near * tanf(degreesToRadians(angle) / 2.0); float left = -size, right = size, bottom = -size / aspect, top = size / aspect; // Unused values in perspective formula. m[1] = m[2] = m[3] = m[4] = 0; m[6] = m[7] = m[12] = m[13] = m[15] = 0; // Perspective formula. m[0] = 2 * near / (right - left); m[5] = 2 * near / (top - bottom); m[8] = (right + left) / (right - left); m[9] = (top + bottom) / (top - bottom); m[10] = -(far + near) / (far - near); m[11] = -1; m[14] = -(2 * far * near) / (far - near); } And my mView is set using: lookAtMatrix(cameraPos, camLookAt, camUpVector, mView); * UPDATE * I'm going to leave this here in case anyone has a different solution, can explain how they do it, or why this works. This is what I figured out. In my system I use a 10th scale unit to pixels on non-retina displays and a 20th scale on retina displays. The iPhone is 640 pixels wide on retina and 320 pixels wide on non-retina (obsolete). So if I want something to be the full screen width I divide by 20 to get the OpenGL unit width. Then divide that by 2 to get the left and right unit position. Something 32 units wide centered on the screen goes from -16 to +16. Believe it or not I have an excel spreadsheet do all this math for me and output all the vertex data for my sprite sheet. It's an arbitrary thing I made up to do .1 units = 1 non-retina pixel or 2 retina pixels. I could have made it .01 units = 2 pixels and someday I might switch to that. But for now it's the other. So the width of the screen in units is 32.0, and that means the left most pixel is at -16.0 and the right most is at 16.0. After messing a bit I figured out that if I take the [0] value of an identity modelViewProjection matrix and multiply it by 16 I get the depth required to get 1:1 pixels. I don't know why. I don't know if the 16 is related to the screen size or just a lucky guess. But I did a test where I placed a sprite at that calculated depth and varied the FOV through all the valid values and the object stays steady on screen with 1:1 pixels. So now I'm just calculating the unityDepth that way. If someone gives me a better answer I'll checkmark it.

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  • Is there any way to retrieve a float from a varargs function's parameters?

    - by Jared P
    If the function was defined with a prototype which explicitly stated the types of the parameters, eg. void somefunc(int arg1, float arg2); but is implemented as void somefunc(int arg1, ...) { ... } is it possible to use va_arg to retrieve a float? It's normally prevented from doing this because varargs functions have implicit type promotions, like float to double, so trying to retrieve an unpromoted type is unsupported, even though the function is being called with the unpromoted type do to the more specific function prototype. The reason for this is to retrieve arguments of different types at runtime, as part of an obj-c interpreter, where one function will be reused for all different types of methods. This would be best as architecture independent (so that if nothing else the same code works on simulator and on device), although if there is no way to do this then device specific fixes will be accepted.

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  • How to output list of float text to binary file in Perl ?

    - by YoDar
    Hi, I have text file looks like that: float a[10] = { 7.100000e+000 , 9.100000e+000 , 2.100000e+000 , 1.100000e+000 , 8.200000e+000 , 7.220000e+000 , 7.220000e+000 , 7.222000e+000 , 1.120000e+000 , 1.987600e+000 }; unsigned int col_ind[10] = { 1 , 4 , 3 , 4 , 5 , 2 , 3 , 4 , 1 , 5 }; Now, I want to convert each array (float / unsigned int) to different binary files - big endian type. Binary file for all float values and binary file for all integer values. What is the simple way to do it in Perl, consider I have over 2 millon elements in each array? Thanks, Yodar.

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  • Problem rendering VBO

    - by Onno
    I'm developing a game engine using OpenTK. I'm trying to get to grips with the use of VBO's. I've run into some trouble because somehow it doesn't render correctly. Thus far I've used immediate mode to render a test object, a test cube with a texture. namespace SharpEngine.Utility.Mesh { using System; using System.Collections.Generic; using OpenTK; using OpenTK.Graphics; using OpenTK.Graphics.OpenGL; using SharpEngine.Utility; using System.Drawing; public class ImmediateFaceBasedCube : IMesh { private IList<Face> faces = new List<Face>(); public ImmediateFaceBasedCube() { IList<Vector3> allVertices = new List<Vector3>(); //rechtsbovenvoor allVertices.Add(new Vector3(1.0f, 1.0f, 1.0f)); //0 //rechtsbovenachter allVertices.Add(new Vector3(1.0f, 1.0f, -1.0f)); //1 //linksbovenachter allVertices.Add(new Vector3(-1.0f, 1.0f, -1.0f)); //2 //linksbovenvoor allVertices.Add(new Vector3(-1.0f, 1.0f, 1.0f)); //3 //rechtsondervoor allVertices.Add(new Vector3(1.0f, -1.0f, 1.0f)); //4 //rechtsonderachter allVertices.Add(new Vector3(1.0f, -1.0f, -1.0f)); //5 //linksonderachter allVertices.Add(new Vector3(-1.0f, -1.0f, -1.0f)); //6 //linksondervoor allVertices.Add(new Vector3(-1.0f, -1.0f, 1.0f)); //7 IList<Vector2> textureCoordinates = new List<Vector2>(); textureCoordinates.Add(new Vector2(0, 0)); //AA - 0 textureCoordinates.Add(new Vector2(0, 0.3333333f)); //AB - 1 textureCoordinates.Add(new Vector2(0, 0.6666666f)); //AC - 2 textureCoordinates.Add(new Vector2(0, 1)); //AD - 3 textureCoordinates.Add(new Vector2(0.3333333f, 0)); //BA - 4 textureCoordinates.Add(new Vector2(0.3333333f, 0.3333333f)); //BB - 5 textureCoordinates.Add(new Vector2(0.3333333f, 0.6666666f)); //BC - 6 textureCoordinates.Add(new Vector2(0.3333333f, 1)); //BD - 7 textureCoordinates.Add(new Vector2(0.6666666f, 0)); //CA - 8 textureCoordinates.Add(new Vector2(0.6666666f, 0.3333333f)); //CB - 9 textureCoordinates.Add(new Vector2(0.6666666f, 0.6666666f)); //CC -10 textureCoordinates.Add(new Vector2(0.6666666f, 1)); //CD -11 textureCoordinates.Add(new Vector2(1, 0)); //DA -12 textureCoordinates.Add(new Vector2(1, 0.3333333f)); //DB -13 textureCoordinates.Add(new Vector2(1, 0.6666666f)); //DC -14 textureCoordinates.Add(new Vector2(1, 1)); //DD -15 Vector3 copy1 = new Vector3(-2.0f, -2.5f, -3.5f); IList<Vector3> normals = new List<Vector3>(); normals.Add(new Vector3(0, 1.0f, 0)); //0 normals.Add(new Vector3(0, 0, 1.0f)); //1 normals.Add(new Vector3(1.0f, 0, 0)); //2 normals.Add(new Vector3(0, 0, -1.0f)); //3 normals.Add(new Vector3(-1.0f, 0, 0)); //4 normals.Add(new Vector3(0, -1.0f, 0)); //5 //todo: move vertex normal and texture data to datastructure //todo: VBO based rendering //top face //1 IList<VertexData> verticesT1 = new List<VertexData>(); VertexData T1a = new VertexData(); T1a.Normal = normals[0]; T1a.TexCoord = textureCoordinates[5]; T1a.Position = allVertices[3]; verticesT1.Add(T1a); VertexData T1b = new VertexData(); T1b.Normal = normals[0]; T1b.TexCoord = textureCoordinates[9]; T1b.Position = allVertices[0]; verticesT1.Add(T1b); VertexData T1c = new VertexData(); T1c.Normal = normals[0]; T1c.TexCoord = textureCoordinates[10]; T1c.Position = allVertices[1]; verticesT1.Add(T1c); Face F1 = new Face(verticesT1); faces.Add(F1); //2 IList<VertexData> verticesT2 = new List<VertexData>(); VertexData T2a = new VertexData(); T2a.Normal = normals[0]; T2a.TexCoord = textureCoordinates[10]; T2a.Position = allVertices[1]; verticesT2.Add(T2a); VertexData T2b = new VertexData(); T2b.Normal = normals[0]; T2b.TexCoord = textureCoordinates[6]; T2b.Position = allVertices[2]; verticesT2.Add(T2b); VertexData T2c = new VertexData(); T2c.Normal = normals[0]; T2c.TexCoord = textureCoordinates[5]; T2c.Position = allVertices[3]; verticesT2.Add(T2c); Face F2 = new Face(verticesT2); faces.Add(F2); //front face //3 IList<VertexData> verticesT3 = new List<VertexData>(); VertexData T3a = new VertexData(); T3a.Normal = normals[1]; T3a.TexCoord = textureCoordinates[1]; T3a.Position = allVertices[3]; verticesT3.Add(T3a); VertexData T3b = new VertexData(); T3b.Normal = normals[1]; T3b.TexCoord = textureCoordinates[0]; T3b.Position = allVertices[7]; verticesT3.Add(T3b); VertexData T3c = new VertexData(); T3c.Normal = normals[1]; T3c.TexCoord = textureCoordinates[5]; T3c.Position = allVertices[0]; verticesT3.Add(T3c); Face F3 = new Face(verticesT3); faces.Add(F3); //4 IList<VertexData> verticesT4 = new List<VertexData>(); VertexData T4a = new VertexData(); T4a.Normal = normals[1]; T4a.TexCoord = textureCoordinates[5]; T4a.Position = allVertices[0]; verticesT4.Add(T4a); VertexData T4b = new VertexData(); T4b.Normal = normals[1]; T4b.TexCoord = textureCoordinates[0]; T4b.Position = allVertices[7]; verticesT4.Add(T4b); VertexData T4c = new VertexData(); T4c.Normal = normals[1]; T4c.TexCoord = textureCoordinates[4]; T4c.Position = allVertices[4]; verticesT4.Add(T4c); Face F4 = new Face(verticesT4); faces.Add(F4); //right face //5 IList<VertexData> verticesT5 = new List<VertexData>(); VertexData T5a = new VertexData(); T5a.Normal = normals[2]; T5a.TexCoord = textureCoordinates[2]; T5a.Position = allVertices[0]; verticesT5.Add(T5a); VertexData T5b = new VertexData(); T5b.Normal = normals[2]; T5b.TexCoord = textureCoordinates[1]; T5b.Position = allVertices[4]; verticesT5.Add(T5b); VertexData T5c = new VertexData(); T5c.Normal = normals[2]; T5c.TexCoord = textureCoordinates[6]; T5c.Position = allVertices[1]; verticesT5.Add(T5c); Face F5 = new Face(verticesT5); faces.Add(F5); //6 IList<VertexData> verticesT6 = new List<VertexData>(); VertexData T6a = new VertexData(); T6a.Normal = normals[2]; T6a.TexCoord = textureCoordinates[1]; T6a.Position = allVertices[4]; verticesT6.Add(T6a); VertexData T6b = new VertexData(); T6b.Normal = normals[2]; T6b.TexCoord = textureCoordinates[5]; T6b.Position = allVertices[5]; verticesT6.Add(T6b); VertexData T6c = new VertexData(); T6c.Normal = normals[2]; T6c.TexCoord = textureCoordinates[6]; T6c.Position = allVertices[1]; verticesT6.Add(T6c); Face F6 = new Face(verticesT6); faces.Add(F6); //back face //7 IList<VertexData> verticesT7 = new List<VertexData>(); VertexData T7a = new VertexData(); T7a.Normal = normals[3]; T7a.TexCoord = textureCoordinates[4]; T7a.Position = allVertices[5]; verticesT7.Add(T7a); VertexData T7b = new VertexData(); T7b.Normal = normals[3]; T7b.TexCoord = textureCoordinates[9]; T7b.Position = allVertices[2]; verticesT7.Add(T7b); VertexData T7c = new VertexData(); T7c.Normal = normals[3]; T7c.TexCoord = textureCoordinates[5]; T7c.Position = allVertices[1]; verticesT7.Add(T7c); Face F7 = new Face(verticesT7); faces.Add(F7); //8 IList<VertexData> verticesT8 = new List<VertexData>(); VertexData T8a = new VertexData(); T8a.Normal = normals[3]; T8a.TexCoord = textureCoordinates[9]; T8a.Position = allVertices[2]; verticesT8.Add(T8a); VertexData T8b = new VertexData(); T8b.Normal = normals[3]; T8b.TexCoord = textureCoordinates[4]; T8b.Position = allVertices[5]; verticesT8.Add(T8b); VertexData T8c = new VertexData(); T8c.Normal = normals[3]; T8c.TexCoord = textureCoordinates[8]; T8c.Position = allVertices[6]; verticesT8.Add(T8c); Face F8 = new Face(verticesT8); faces.Add(F8); //left face //9 IList<VertexData> verticesT9 = new List<VertexData>(); VertexData T9a = new VertexData(); T9a.Normal = normals[4]; T9a.TexCoord = textureCoordinates[8]; T9a.Position = allVertices[6]; verticesT9.Add(T9a); VertexData T9b = new VertexData(); T9b.Normal = normals[4]; T9b.TexCoord = textureCoordinates[13]; T9b.Position = allVertices[3]; verticesT9.Add(T9b); VertexData T9c = new VertexData(); T9c.Normal = normals[4]; T9c.TexCoord = textureCoordinates[9]; T9c.Position = allVertices[2]; verticesT9.Add(T9c); Face F9 = new Face(verticesT9); faces.Add(F9); //10 IList<VertexData> verticesT10 = new List<VertexData>(); VertexData T10a = new VertexData(); T10a.Normal = normals[4]; T10a.TexCoord = textureCoordinates[8]; T10a.Position = allVertices[6]; verticesT10.Add(T10a); VertexData T10b = new VertexData(); T10b.Normal = normals[4]; T10b.TexCoord = textureCoordinates[12]; T10b.Position = allVertices[7]; verticesT10.Add(T10b); VertexData T10c = new VertexData(); T10c.Normal = normals[4]; T10c.TexCoord = textureCoordinates[13]; T10c.Position = allVertices[3]; verticesT10.Add(T10c); Face F10 = new Face(verticesT10); faces.Add(F10); //bottom face //11 IList<VertexData> verticesT11 = new List<VertexData>(); VertexData T11a = new VertexData(); T11a.Normal = normals[5]; T11a.TexCoord = textureCoordinates[10]; T11a.Position = allVertices[7]; verticesT11.Add(T11a); VertexData T11b = new VertexData(); T11b.Normal = normals[5]; T11b.TexCoord = textureCoordinates[9]; T11b.Position = allVertices[6]; verticesT11.Add(T11b); VertexData T11c = new VertexData(); T11c.Normal = normals[5]; T11c.TexCoord = textureCoordinates[14]; T11c.Position = allVertices[4]; verticesT11.Add(T11c); Face F11 = new Face(verticesT11); faces.Add(F11); //12 IList<VertexData> verticesT12 = new List<VertexData>(); VertexData T12a = new VertexData(); T12a.Normal = normals[5]; T12a.TexCoord = textureCoordinates[13]; T12a.Position = allVertices[5]; verticesT12.Add(T12a); VertexData T12b = new VertexData(); T12b.Normal = normals[5]; T12b.TexCoord = textureCoordinates[14]; T12b.Position = allVertices[4]; verticesT12.Add(T12b); VertexData T12c = new VertexData(); T12c.Normal = normals[5]; T12c.TexCoord = textureCoordinates[9]; T12c.Position = allVertices[6]; verticesT12.Add(T12c); Face F12 = new Face(verticesT12); faces.Add(F12); } public void draw() { GL.Begin(BeginMode.Triangles); foreach (Face face in faces) { foreach (VertexData datapoint in face.verticesWithTexCoords) { GL.Normal3(datapoint.Normal); GL.TexCoord2(datapoint.TexCoord); GL.Vertex3(datapoint.Position); } } GL.End(); } } } Gets me this very nice picture: The immediate mode cube renders nicely and taught me a bit on how to use OpenGL, but VBO's are the way to go. Since I read on the OpenTK forums that OpenTK has problems doing VA's or DL's, I decided to skip using those. Now, I've tried to change this cube to a VBO by using the same vertex, normal and tc collections, and making float arrays from them by using the coordinates in combination with uint arrays which contain the index numbers from the immediate cube. (see the private functions at end of the code sample) Somehow this only renders two triangles namespace SharpEngine.Utility.Mesh { using System; using System.Collections.Generic; using OpenTK; using OpenTK.Graphics; using OpenTK.Graphics.OpenGL; using SharpEngine.Utility; using System.Drawing; public class VBOFaceBasedCube : IMesh { private int VerticesVBOID; private int VerticesVBOStride; private int VertexCount; private int ELementBufferObjectID; private int textureCoordinateVBOID; private int textureCoordinateVBOStride; //private int textureCoordinateArraySize; private int normalVBOID; private int normalVBOStride; public VBOFaceBasedCube() { IList<Vector3> allVertices = new List<Vector3>(); //rechtsbovenvoor allVertices.Add(new Vector3(1.0f, 1.0f, 1.0f)); //0 //rechtsbovenachter allVertices.Add(new Vector3(1.0f, 1.0f, -1.0f)); //1 //linksbovenachter allVertices.Add(new Vector3(-1.0f, 1.0f, -1.0f)); //2 //linksbovenvoor allVertices.Add(new Vector3(-1.0f, 1.0f, 1.0f)); //3 //rechtsondervoor allVertices.Add(new Vector3(1.0f, -1.0f, 1.0f)); //4 //rechtsonderachter allVertices.Add(new Vector3(1.0f, -1.0f, -1.0f)); //5 //linksonderachter allVertices.Add(new Vector3(-1.0f, -1.0f, -1.0f)); //6 //linksondervoor allVertices.Add(new Vector3(-1.0f, -1.0f, 1.0f)); //7 IList<Vector2> textureCoordinates = new List<Vector2>(); textureCoordinates.Add(new Vector2(0, 0)); //AA - 0 textureCoordinates.Add(new Vector2(0, 0.3333333f)); //AB - 1 textureCoordinates.Add(new Vector2(0, 0.6666666f)); //AC - 2 textureCoordinates.Add(new Vector2(0, 1)); //AD - 3 textureCoordinates.Add(new Vector2(0.3333333f, 0)); //BA - 4 textureCoordinates.Add(new Vector2(0.3333333f, 0.3333333f)); //BB - 5 textureCoordinates.Add(new Vector2(0.3333333f, 0.6666666f)); //BC - 6 textureCoordinates.Add(new Vector2(0.3333333f, 1)); //BD - 7 textureCoordinates.Add(new Vector2(0.6666666f, 0)); //CA - 8 textureCoordinates.Add(new Vector2(0.6666666f, 0.3333333f)); //CB - 9 textureCoordinates.Add(new Vector2(0.6666666f, 0.6666666f)); //CC -10 textureCoordinates.Add(new Vector2(0.6666666f, 1)); //CD -11 textureCoordinates.Add(new Vector2(1, 0)); //DA -12 textureCoordinates.Add(new Vector2(1, 0.3333333f)); //DB -13 textureCoordinates.Add(new Vector2(1, 0.6666666f)); //DC -14 textureCoordinates.Add(new Vector2(1, 1)); //DD -15 Vector3 copy1 = new Vector3(-2.0f, -2.5f, -3.5f); IList<Vector3> normals = new List<Vector3>(); normals.Add(new Vector3(0, 1.0f, 0)); //0 normals.Add(new Vector3(0, 0, 1.0f)); //1 normals.Add(new Vector3(1.0f, 0, 0)); //2 normals.Add(new Vector3(0, 0, -1.0f)); //3 normals.Add(new Vector3(-1.0f, 0, 0)); //4 normals.Add(new Vector3(0, -1.0f, 0)); //5 //todo: VBO based rendering uint[] vertexElements = { 3,0,1, //01 1,2,3, //02 3,7,0, //03 0,7,4, //04 0,4,1, //05 4,5,1, //06 5,2,1, //07 2,5,6, //08 6,3,2, //09 6,7,5, //10 7,6,4, //11 5,4,6 //12 }; VertexCount = vertexElements.Length; IList<uint> vertexElementList = new List<uint>(vertexElements); uint[] normalElements = { 0,0,0, 0,0,0, 1,1,1, 1,1,1, 2,2,2, 2,2,2, 3,3,3, 3,3,3, 4,4,4, 4,4,4, 5,5,5, 5,5,5 }; IList<uint> normalElementList = new List<uint>(normalElements); uint[] textureIndexArray = { 5,9,10, 10,6,5, 1,0,5, 5,0,4, 2,1,6, 1,5,6, 4,9,5, 9,4,8, 8,13,9, 8,12,13, 10,9,14, 13,14,9 }; //textureCoordinateArraySize = textureIndexArray.Length; IList<uint> textureIndexList = new List<uint>(textureIndexArray); LoadVBO(allVertices, normals, textureCoordinates, vertexElements, normalElementList, textureIndexList); } public void draw() { //bind vertices //bind elements //bind normals //bind texture coordinates GL.EnableClientState(ArrayCap.VertexArray); GL.EnableClientState(ArrayCap.NormalArray); GL.EnableClientState(ArrayCap.TextureCoordArray); GL.BindBuffer(BufferTarget.ArrayBuffer, VerticesVBOID); GL.VertexPointer(3, VertexPointerType.Float, VerticesVBOStride, 0); GL.BindBuffer(BufferTarget.ArrayBuffer, normalVBOID); GL.NormalPointer(NormalPointerType.Float, normalVBOStride, 0); GL.BindBuffer(BufferTarget.ArrayBuffer, textureCoordinateVBOID); GL.TexCoordPointer(2, TexCoordPointerType.Float, textureCoordinateVBOStride, 0); GL.BindBuffer(BufferTarget.ElementArrayBuffer, ELementBufferObjectID); GL.DrawElements(BeginMode.Polygon, VertexCount, DrawElementsType.UnsignedShort, 0); } //loads a static VBO void LoadVBO(IList<Vector3> vertices, IList<Vector3> normals, IList<Vector2> texcoords, uint[] elements, IList<uint> normalIndices, IList<uint> texCoordIndices) { int size; //todo // To create a VBO: // 1) Generate the buffer handles for the vertex and element buffers. // 2) Bind the vertex buffer handle and upload your vertex data. Check that the buffer was uploaded correctly. // 3) Bind the element buffer handle and upload your element data. Check that the buffer was uploaded correctly. float[] verticesArray = convertVector3fListToFloatArray(vertices); float[] normalsArray = createFloatArrayFromListOfVector3ElementsAndIndices(normals, normalIndices); float[] textureCoordinateArray = createFloatArrayFromListOfVector2ElementsAndIndices(texcoords, texCoordIndices); GL.GenBuffers(1, out VerticesVBOID); GL.BindBuffer(BufferTarget.ArrayBuffer, VerticesVBOID); Console.WriteLine("load 1 - vertices"); VerticesVBOStride = BlittableValueType.StrideOf(verticesArray); GL.BufferData(BufferTarget.ArrayBuffer, (IntPtr)(verticesArray.Length * sizeof(float)), verticesArray, BufferUsageHint.StaticDraw); GL.GetBufferParameter(BufferTarget.ArrayBuffer, BufferParameterName.BufferSize, out size); if (verticesArray.Length * BlittableValueType.StrideOf(verticesArray) != size) { throw new ApplicationException("Vertex data not uploaded correctly"); } else { Console.WriteLine("load 1 finished ok"); size = 0; } Console.WriteLine("load 2 - elements"); GL.GenBuffers(1, out ELementBufferObjectID); GL.BindBuffer(BufferTarget.ElementArrayBuffer, ELementBufferObjectID); GL.BufferData(BufferTarget.ElementArrayBuffer, (IntPtr)(elements.Length * sizeof(uint)), elements, BufferUsageHint.StaticDraw); GL.GetBufferParameter(BufferTarget.ElementArrayBuffer, BufferParameterName.BufferSize, out size); if (elements.Length * sizeof(uint) != size) { throw new ApplicationException("Element data not uploaded correctly"); } else { size = 0; Console.WriteLine("load 2 finished ok"); } GL.GenBuffers(1, out normalVBOID); GL.BindBuffer(BufferTarget.ArrayBuffer, normalVBOID); Console.WriteLine("load 3 - normals"); normalVBOStride = BlittableValueType.StrideOf(normalsArray); GL.BufferData(BufferTarget.ArrayBuffer, (IntPtr)(normalsArray.Length * sizeof(float)), normalsArray, BufferUsageHint.StaticDraw); GL.GetBufferParameter(BufferTarget.ArrayBuffer, BufferParameterName.BufferSize, out size); Console.WriteLine("load 3 - pre check"); if (normalsArray.Length * BlittableValueType.StrideOf(normalsArray) != size) { throw new ApplicationException("Normal data not uploaded correctly"); } else { Console.WriteLine("load 3 finished ok"); size = 0; } GL.GenBuffers(1, out textureCoordinateVBOID); GL.BindBuffer(BufferTarget.ArrayBuffer, textureCoordinateVBOID); Console.WriteLine("load 4- texture coordinates"); textureCoordinateVBOStride = BlittableValueType.StrideOf(textureCoordinateArray); GL.BufferData(BufferTarget.ArrayBuffer, (IntPtr)(textureCoordinateArray.Length * textureCoordinateVBOStride), textureCoordinateArray, BufferUsageHint.StaticDraw); GL.GetBufferParameter(BufferTarget.ArrayBuffer, BufferParameterName.BufferSize, out size); if (textureCoordinateArray.Length * BlittableValueType.StrideOf(textureCoordinateArray) != size) { throw new ApplicationException("texture coordinate data not uploaded correctly"); } else { Console.WriteLine("load 3 finished ok"); size = 0; } } //used to convert vertex arrayss for use with VBO's private float[] convertVector3fListToFloatArray(IList<Vector3> input) { int arrayElementCount = input.Count * 3; float[] output = new float[arrayElementCount]; int fillCount = 0; foreach (Vector3 v in input) { output[fillCount] = v.X; output[fillCount + 1] = v.Y; output[fillCount + 2] = v.Z; fillCount += 3; } return output; } //used for converting texture coordinate arrays for use with VBO's private float[] convertVector2List_to_floatArray(IList<Vector2> input) { int arrayElementCount = input.Count * 2; float[] output = new float[arrayElementCount]; int fillCount = 0; foreach (Vector2 v in input) { output[fillCount] = v.X; output[fillCount + 1] = v.Y; fillCount += 2; } return output; } //used to create an array of floats from private float[] createFloatArrayFromListOfVector3ElementsAndIndices(IList<Vector3> inputVectors, IList<uint> indices) { int arrayElementCount = inputVectors.Count * indices.Count * 3; float[] output = new float[arrayElementCount]; int fillCount = 0; foreach (int i in indices) { output[fillCount] = inputVectors[i].X; output[fillCount + 1] = inputVectors[i].Y; output[fillCount + 2] = inputVectors[i].Z; fillCount += 3; } return output; } private float[] createFloatArrayFromListOfVector2ElementsAndIndices(IList<Vector2> inputVectors, IList<uint> indices) { int arrayElementCount = inputVectors.Count * indices.Count * 2; float[] output = new float[arrayElementCount]; int fillCount = 0; foreach (int i in indices) { output[fillCount] = inputVectors[i].X; output[fillCount + 1] = inputVectors[i].Y; fillCount += 2; } return output; } } } This code will only render two triangles and they're nothing like I had in mind: I've done some searching. In some other questions I read that, if I did something wrong, I'd get no rendering at all. Clearly, something gets sent to the GFX card, but it might be that I'm not sending the right data. I've tried altering the sequence in which the triangles are rendered by swapping some of the index numbers in the vert, tc and normal index arrays, but this doesn't seem to be of any effect. I'm slightly lost here. What am I doing wrong here?

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  • How Can I Improve/SpeedUp This FrequentFunction in C?

    - by Peter Lee
    Hi folks, How can I improve / speed up this frequent function? #include <math.h> #include <stdio.h> #include <stdlib.h> #include <time.h> // Assumptions: x, y, z, a, b and c are all array of 10. // Requirement: return the value of ret; // get all elements of array c float fnFrequentFunction(const float* x, const float* y, const float* z, const float *a, const float *b, float *c, int M) { register float tmp; register float sum; register float ret = 0; int i; for (i = 0; i < M; i++) // M == 1, 2, 4, or 8 { sum = 0; tmp = x[0] - y[0]; sum += tmp * tmp * z[0]; tmp = x[1] - y[1]; sum += tmp * tmp * z[1]; tmp = x[2] - y[2]; sum += tmp * tmp * z[2]; tmp = x[3] - y[3]; sum += tmp * tmp * z[3]; tmp = x[4] - y[4]; sum += tmp * tmp * z[4]; tmp = x[5] - y[5]; sum += tmp * tmp * z[5]; tmp = x[6] - y[6]; sum += tmp * tmp * z[6]; tmp = x[7] - y[7]; sum += tmp * tmp * z[7]; tmp = x[8] - y[8]; sum += tmp * tmp * z[8]; tmp = x[9] - y[9]; sum += tmp * tmp * z[9]; ret += (c[i] = log(a[i] * b[i]) + sum); } return ret; } int main() { float x[10] = {0.001251f, 0.563585f, 0.193304f, 0.808741f, 0.585009f, 0.479873f, 0.350291f, 0.895962f, 0.622840f, 0.746605f}; float y[10] = {0.864406f, 0.709006f, 0.091433f, 0.995727f, 0.227180f, 0.902585f, 0.659047f, 0.865627f, 0.846767f, 0.514359f}; float z[10] = {0.866817f, 0.581347f, 0.175542f, 0.620197f, 0.781823f, 0.778588f, 0.938688f, 0.721610f, 0.940214f, 0.811353f}; float a[10] = {0.870205f, 0.733879f, 0.711386f, 0.588244f, 0.484176f, 0.852962f, 0.168126f, 0.684286f, 0.072573f, 0.632160f}; float b[10] = {0.871487f, 0.998108f, 0.798608f, 0.134831f, 0.576281f, 0.410779f, 0.402936f, 0.522935f, 0.623218f, 0.193030f}; float c[8]; int i; int n = 10000000; long start; // Speed test here: start = clock(); while(--n) fnFrequentFunction(x, y, z, a, b, c, 8); printf("Time used: %ld\n", clock() - start); printf("fnFrequentFunction == %f\n", fnFrequentFunction(x, y, z, a, b, c, 8)); for(i = 0; i < 8; ++i) printf(" c[%d] == %f\n", i, c[i]); printf("\n"); return 0; } Any suggestions are welcome :-)

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  • can't get texture to work

    - by user583713
    It been a while since I use android opengl but for what ever reason I get a white squre box and not the texture I what on the screen. Oh I do not think this would matter but just in case I put a linerlayout view first then the surfaceview on but anyway Here my code: public class GameEngine { private float vertices[]; private float textureUV[]; private int[] textureId = new int[1]; private FloatBuffer vertextBuffer; private FloatBuffer textureBuffer; private short indices[] = {0,1,2,2,1,3}; private ShortBuffer indexBuffer; private float x, y, z; private float rot, rotX, rotY, rotZ; public GameEngine() { } public void setEngine(float x, float y, float vertices[]){ this.x = x; this.y = y; this.vertices = vertices; ByteBuffer vbb = ByteBuffer.allocateDirect(this.vertices.length * 4); vbb.order(ByteOrder.nativeOrder()); vertextBuffer = vbb.asFloatBuffer(); vertextBuffer.put(this.vertices); vertextBuffer.position(0); vertextBuffer.clear(); ByteBuffer ibb = ByteBuffer.allocateDirect(indices.length * 2); ibb.order(ByteOrder.nativeOrder()); indexBuffer = ibb.asShortBuffer(); indexBuffer.put(indices); indexBuffer.position(0); indexBuffer.clear(); } public void draw(GL10 gl){ gl.glLoadIdentity(); gl.glTranslatef(x, y, z); gl.glRotatef(rot, rotX, rotY, rotZ); gl.glBindTexture(GL10.GL_TEXTURE_2D, textureId[0]); gl.glEnableClientState(GL10.GL_VERTEX_ARRAY); gl.glEnableClientState(GL10.GL_TEXTURE_COORD_ARRAY); gl.glVertexPointer(2, GL10.GL_FLOAT, 0, vertextBuffer); gl.glTexCoordPointer(2, GL10.GL_FLOAT, 0, textureBuffer); gl.glDrawElements(GL10.GL_TRIANGLES, indices.length, GL10.GL_UNSIGNED_SHORT, indexBuffer); gl.glDisableClientState(GL10.GL_VERTEX_ARRAY); gl.glDisableClientState(GL10.GL_TEXTURE_COORD_ARRAY); } public void LoadTexture(float textureUV[], GL10 gl, InputStream is) throws IOException{ this.textureUV = textureUV; ByteBuffer tbb = ByteBuffer.allocateDirect(this.textureUV.length * 4); tbb.order(ByteOrder.nativeOrder()); textureBuffer = tbb.asFloatBuffer(); textureBuffer.put(this.textureUV); textureBuffer.position(0); textureBuffer.clear(); Bitmap bitmap = null; try{ bitmap = BitmapFactory.decodeStream(is); }finally{ try{ is.close(); is = null; gl.glGenTextures(1, textureId,0); gl.glBindTexture(GL10.GL_TEXTURE_2D, textureId[0]); gl.glTexParameterf(GL10.GL_TEXTURE_2D, GL10.GL_TEXTURE_MIN_FILTER, GL10.GL_NEAREST); gl.glTexParameterf(GL10.GL_TEXTURE_2D, GL10.GL_TEXTURE_MAG_FILTER, GL10.GL_LINEAR); //Different possible texture parameters, e.g. GL10.GL_CLAMP_TO_EDGE gl.glTexParameterf(GL10.GL_TEXTURE_2D, GL10.GL_TEXTURE_WRAP_S, GL10.GL_REPEAT); gl.glTexParameterf(GL10.GL_TEXTURE_2D, GL10.GL_TEXTURE_WRAP_T, GL10.GL_REPEAT); //Use the Android GLUtils to specify a two-dimensional texture image from our bitmap GLUtils.texImage2D(GL10.GL_TEXTURE_2D, 0, bitmap, 0); gl.glBlendFunc(GL10.GL_SRC_ALPHA, GL10.GL_ONE_MINUS_SRC_ALPHA); //Clean up gl.glBindTexture(GL10.GL_TEXTURE_2D, textureId[0]); bitmap.recycle(); }catch(IOException e){ } } } public void setVector(float x, float y, float z){ this.x = x; this.y = y; this.z = z; } public void setRot(float rot, float x, float y, float z){ this.rot = rot; this.rotX = x; this.rotY = y; this.rotZ = z; } public float getZ(){ return z; } }

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  • Points on lines where the two lines are the closest together

    - by James Bedford
    Hey guys, I'm trying to find the points on two lines where the two lines are the closest. I've implemented the following method (Points and Vectors are as you'd expect, and a Line consists of a Point on the line and a non-normalized direction Vector from that point): void CDClosestPointsOnTwoLines(Line line1, Line line2, Point* closestPoints) { closestPoints[0] = line1.pointOnLine; closestPoints[1] = line2.pointOnLine; Vector d1 = line1.direction; Vector d2 = line2.direction; float a = d1.dot(d1); float b = d1.dot(d2); float e = d2.dot(d2); float d = a*e - b*b; if (d != 0) // If the two lines are not parallel. { Vector r = Vector(line1.pointOnLine) - Vector(line2.pointOnLine); float c = d1.dot(r); float f = d2.dot(r); float s = (b*f - c*e) / d; float t = (a*f - b*c) / d; closestPoints[0] = line1.positionOnLine(s); closestPoints[1] = line2.positionOnLine(t); } else { printf("Lines were parallel.\n"); } } I'm using OpenGL to draw three lines that move around the world, the third of which should be the line that most closely connects the other two lines, the two end points of which are calculated using this function. The problem is that the first point of closestPoints after this function is called will lie on line1, but the second point won't lie on line2, let alone at the closest point on line2! I've checked over the function many times but I can't see where the mistake in my implementation is. I've checked my dot product function, scalar multiplication, subtraction, positionOnLine() etc. etc. So my assumption is that the problem is within this method implementation. If it helps to find the answer, this is function supposed to be an implementation of section 5.1.8 from 'Real-Time Collision Detection' by Christer Ericson. Many thanks for any help!

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  • First Person Camera strafing at angle

    - by Linkandzelda
    I have a simple camera class working in directx 11 allowing moving forward and rotating left and right. I'm trying to implement strafing into it but having some problems. The strafing works when there's no camera rotation, so when the camera starts at 0, 0, 0. But after rotating the camera in either direction it seems to strafe at an angle or inverted or just some odd stuff. Here is a video uploaded to Dropbox showing this behavior. https://dl.dropboxusercontent.com/u/2873587/IncorrectStrafing.mp4 And here is my camera class. I have a hunch that it's related to the calculation for camera position. I tried various different calculations in strafe and they all seem to follow the same pattern and same behavior. Also the m_camera_rotation represents the Y rotation, as pitching isn't implemented yet. #include "camera.h" camera::camera(float x, float y, float z, float initial_rotation) { m_x = x; m_y = y; m_z = z; m_camera_rotation = initial_rotation; updateDXZ(); } camera::~camera(void) { } void camera::updateDXZ() { m_dx = sin(m_camera_rotation * (XM_PI/180.0)); m_dz = cos(m_camera_rotation * (XM_PI/180.0)); } void camera::Rotate(float amount) { m_camera_rotation += amount; updateDXZ(); } void camera::Forward(float step) { m_x += step * m_dx; m_z += step * m_dz; } void camera::strafe(float amount) { float yaw = (XM_PI/180.0) * m_camera_rotation; m_x += cosf( yaw ) * amount; m_z += sinf( yaw ) * amount; } XMMATRIX camera::getViewMatrix() { updatePosition(); return XMMatrixLookAtLH(m_position, m_lookat, m_up); } void camera::updatePosition() { m_position = XMVectorSet(m_x, m_y, m_z, 0.0); m_lookat = XMVectorSet(m_x + m_dx, m_y, m_z + m_dz, 0.0); m_up = XMVectorSet(0.0, 1.0, 0.0, 0.0); }

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  • Slick2D - Entities and rendering

    - by Zarkopafilis
    I have been trying to create my very first game for quite a while, followed some tutorials and stuff, but I am stuck at creating my entity system. I have made a class that extends the Entity class and here it is: public class Lazer extends Entity{//Just say that it is some sort of bullet private Play p;//Play class(State) private float x; private float y; private int direction; public Lazer(Play p, float x , float y, int direction){ this.p = p; this.x = x; this.y = y; this.direction = direction; p.ent.add(this); } public int getDirection(){ return direction; //this one specifies what value will be increased (x/y) at update } public float getX(){ return x; } public float getY(){ return y; } public void setY(float y){ this.y = y; } public void setX(float x){ this.x = x; } } The class seems pretty good , after speding some hours googling what would be the right thing. Now, on my Play class. I cant figure out how to draw them. (I have added them to an arraylist) On the update method , I update the lazers based on their direction: public void moveLazers(int delta){ for(int i=0;i<ent.size();i++){ Lazer l = ent.get(i); if(l.getDirection() == 1){ l.setX(l.getX() + delta * .1f); }else if(l.getDirection() == 2){ l.setX(l.getX() - delta * .1f); }else if(l.getDirection() == 3){ l.setY(l.getY() + delta * .1f); }else if(l.getDirection() == 4){ l.setY(l.getY() - delta * .1f); } } } Now , I am stuck at the render method. Anyway , is this the correct way of doing this or do I need to change stuff? Also I need to know if collision detection needs to be in the update method. Thanks in advance ~ Teo Ntakouris

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  • Implementing Circle Physics in Java

    - by Shijima
    I am working on a simple physics based game where 2 balls bounce off each other. I am following a tutorial, 2-Dimensional Elastic Collisions Without Trigonometry, for the collision reactions. I am using Vector2 from the LIBGDX library to handle vectors. I am a bit confused on how to implement step 6 in Java from the tutorial. Below is my current code, please note that the code strictly follows the tutorial and there are redundant pieces of code which I plan to refactor later. Note: refrences to this refer to ball 1, and ball refers to ball 2. /* * Step 1 * * Find the Normal, Unit Normal and Unit Tangential vectors */ Vector2 n = new Vector2(this.position[0] - ball.position[0], this.position[1] - ball.position[1]); Vector2 un = n.normalize(); Vector2 ut = new Vector2(-un.y, un.x); /* * Step 2 * * Create the initial (before collision) velocity vectors */ Vector2 v1 = this.velocity; Vector2 v2 = ball.velocity; /* * Step 3 * * Resolve the velocity vectors into normal and tangential components */ float v1n = un.dot(v1); float v1t = ut.dot(v1); float v2n = un.dot(v2); float v2t = ut.dot(v2); /* * Step 4 * * Find the new tangential Velocities after collision */ float v1tPrime = v1t; float v2tPrime = v2t; /* * Step 5 * * Find the new normal velocities */ float v1nPrime = v1n * (this.mass - ball.mass) + (2 * ball.mass * v2n) / (this.mass + ball.mass); float v2nPrime = v2n * (ball.mass - this.mass) + (2 * this.mass * v1n) / (this.mass + ball.mass); /* * Step 6 * * Convert the scalar normal and tangential velocities into vectors??? */

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  • XNA shield effect with a Primative sphere problem

    - by Sparky41
    I'm having issue with a shield effect i'm trying to develop. I want to do a shield effect that surrounds part of a model like this: http://i.imgur.com/jPvrf.png I currently got this: http://i.imgur.com/Jdin7.png (The red likes are a simple texture a black background with a red cross in it, for testing purposes: http://i.imgur.com/ODtzk.png where the smaller cross in the middle shows the contact point) This sphere is drawn via a primitive (DrawIndexedPrimitives) This is how i calculate the pieces of the sphere using a class i've called Sphere (this class is based off the code here: http://xbox.create.msdn.com/en-US/education/catalog/sample/primitives_3d) public class Sphere { // During the process of constructing a primitive model, vertex // and index data is stored on the CPU in these managed lists. List vertices = new List(); List indices = new List(); // Once all the geometry has been specified, the InitializePrimitive // method copies the vertex and index data into these buffers, which // store it on the GPU ready for efficient rendering. VertexBuffer vertexBuffer; IndexBuffer indexBuffer; BasicEffect basicEffect; public Vector3 position = Vector3.Zero; public Matrix RotationMatrix = Matrix.Identity; public Texture2D texture; /// <summary> /// Constructs a new sphere primitive, /// with the specified size and tessellation level. /// </summary> public Sphere(float diameter, int tessellation, Texture2D text, float up, float down, float portstar, float frontback) { texture = text; if (tessellation < 3) throw new ArgumentOutOfRangeException("tessellation"); int verticalSegments = tessellation; int horizontalSegments = tessellation * 2; float radius = diameter / 2; // Start with a single vertex at the bottom of the sphere. AddVertex(Vector3.Down * ((radius / up) + 1), Vector3.Down, Vector2.Zero);//bottom position5 // Create rings of vertices at progressively higher latitudes. for (int i = 0; i < verticalSegments - 1; i++) { float latitude = ((i + 1) * MathHelper.Pi / verticalSegments) - MathHelper.PiOver2; float dy = (float)Math.Sin(latitude / up);//(up)5 float dxz = (float)Math.Cos(latitude); // Create a single ring of vertices at this latitude. for (int j = 0; j < horizontalSegments; j++) { float longitude = j * MathHelper.TwoPi / horizontalSegments; float dx = (float)(Math.Cos(longitude) * dxz) / portstar;//port and starboard (right)2 float dz = (float)(Math.Sin(longitude) * dxz) * frontback;//front and back1.4 Vector3 normal = new Vector3(dx, dy, dz); AddVertex(normal * radius, normal, new Vector2(j, i)); } } // Finish with a single vertex at the top of the sphere. AddVertex(Vector3.Up * ((radius / down) + 1), Vector3.Up, Vector2.One);//top position5 // Create a fan connecting the bottom vertex to the bottom latitude ring. for (int i = 0; i < horizontalSegments; i++) { AddIndex(0); AddIndex(1 + (i + 1) % horizontalSegments); AddIndex(1 + i); } // Fill the sphere body with triangles joining each pair of latitude rings. for (int i = 0; i < verticalSegments - 2; i++) { for (int j = 0; j < horizontalSegments; j++) { int nextI = i + 1; int nextJ = (j + 1) % horizontalSegments; AddIndex(1 + i * horizontalSegments + j); AddIndex(1 + i * horizontalSegments + nextJ); AddIndex(1 + nextI * horizontalSegments + j); AddIndex(1 + i * horizontalSegments + nextJ); AddIndex(1 + nextI * horizontalSegments + nextJ); AddIndex(1 + nextI * horizontalSegments + j); } } // Create a fan connecting the top vertex to the top latitude ring. for (int i = 0; i < horizontalSegments; i++) { AddIndex(CurrentVertex - 1); AddIndex(CurrentVertex - 2 - (i + 1) % horizontalSegments); AddIndex(CurrentVertex - 2 - i); } //InitializePrimitive(graphicsDevice); } /// <summary> /// Adds a new vertex to the primitive model. This should only be called /// during the initialization process, before InitializePrimitive. /// </summary> protected void AddVertex(Vector3 position, Vector3 normal, Vector2 texturecoordinate) { vertices.Add(new VertexPositionNormal(position, normal, texturecoordinate)); } /// <summary> /// Adds a new index to the primitive model. This should only be called /// during the initialization process, before InitializePrimitive. /// </summary> protected void AddIndex(int index) { if (index > ushort.MaxValue) throw new ArgumentOutOfRangeException("index"); indices.Add((ushort)index); } /// <summary> /// Queries the index of the current vertex. This starts at /// zero, and increments every time AddVertex is called. /// </summary> protected int CurrentVertex { get { return vertices.Count; } } public void InitializePrimitive(GraphicsDevice graphicsDevice) { // Create a vertex declaration, describing the format of our vertex data. // Create a vertex buffer, and copy our vertex data into it. vertexBuffer = new VertexBuffer(graphicsDevice, typeof(VertexPositionNormal), vertices.Count, BufferUsage.None); vertexBuffer.SetData(vertices.ToArray()); // Create an index buffer, and copy our index data into it. indexBuffer = new IndexBuffer(graphicsDevice, typeof(ushort), indices.Count, BufferUsage.None); indexBuffer.SetData(indices.ToArray()); // Create a BasicEffect, which will be used to render the primitive. basicEffect = new BasicEffect(graphicsDevice); //basicEffect.EnableDefaultLighting(); } /// <summary> /// Draws the primitive model, using the specified effect. Unlike the other /// Draw overload where you just specify the world/view/projection matrices /// and color, this method does not set any renderstates, so you must make /// sure all states are set to sensible values before you call it. /// </summary> public void Draw(Effect effect) { GraphicsDevice graphicsDevice = effect.GraphicsDevice; // Set our vertex declaration, vertex buffer, and index buffer. graphicsDevice.SetVertexBuffer(vertexBuffer); graphicsDevice.Indices = indexBuffer; graphicsDevice.BlendState = BlendState.Additive; foreach (EffectPass effectPass in effect.CurrentTechnique.Passes) { effectPass.Apply(); int primitiveCount = indices.Count / 3; graphicsDevice.DrawIndexedPrimitives(PrimitiveType.TriangleList, 0, 0, vertices.Count, 0, primitiveCount); } graphicsDevice.BlendState = BlendState.Opaque; } /// <summary> /// Draws the primitive model, using a BasicEffect shader with default /// lighting. Unlike the other Draw overload where you specify a custom /// effect, this method sets important renderstates to sensible values /// for 3D model rendering, so you do not need to set these states before /// you call it. /// </summary> public void Draw(Camera camera, Color color) { // Set BasicEffect parameters. basicEffect.World = GetWorld(); basicEffect.View = camera.view; basicEffect.Projection = camera.projection; basicEffect.DiffuseColor = color.ToVector3(); basicEffect.TextureEnabled = true; basicEffect.Texture = texture; GraphicsDevice device = basicEffect.GraphicsDevice; device.DepthStencilState = DepthStencilState.Default; if (color.A < 255) { // Set renderstates for alpha blended rendering. device.BlendState = BlendState.AlphaBlend; } else { // Set renderstates for opaque rendering. device.BlendState = BlendState.Opaque; } // Draw the model, using BasicEffect. Draw(basicEffect); } public virtual Matrix GetWorld() { return /*world */ Matrix.CreateScale(1f) * RotationMatrix * Matrix.CreateTranslation(position); } } public struct VertexPositionNormal : IVertexType { public Vector3 Position; public Vector3 Normal; public Vector2 TextureCoordinate; /// <summary> /// Constructor. /// </summary> public VertexPositionNormal(Vector3 position, Vector3 normal, Vector2 textCoor) { Position = position; Normal = normal; TextureCoordinate = textCoor; } /// <summary> /// A VertexDeclaration object, which contains information about the vertex /// elements contained within this struct. /// </summary> public static readonly VertexDeclaration VertexDeclaration = new VertexDeclaration ( new VertexElement(0, VertexElementFormat.Vector3, VertexElementUsage.Position, 0), new VertexElement(12, VertexElementFormat.Vector3, VertexElementUsage.Normal, 0), new VertexElement(24, VertexElementFormat.Vector2, VertexElementUsage.TextureCoordinate, 0) ); VertexDeclaration IVertexType.VertexDeclaration { get { return VertexPositionNormal.VertexDeclaration; } } } A simple call to the class to initialise it. The Draw method is called in the master draw method in the Gamecomponent. My current thoughts on this are: The direction of the weapon hitting the ship is used to get the middle position for the texture Wrap a texture around the drawn sphere based on this point of contact Problem is i'm not sure how to do this. Can anyone help or if you have a better idea please tell me i'm open for opinion? :-) Thanks.

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  • 2D Camera Acceleration/Lag

    - by Cyral
    I have a nice camera set up for my 2D xna game. Im wondering how I should make the camera have 'acceleration' or 'lag' so it smoothly follows the player, instead of 'exactly' like mine does now. Im thinking somehow I need to Lerp the values when I set CameraPosition. Heres my code private void ScrollCamera(Viewport viewport) { float ViewMargin = .35f; float marginWidth = viewport.Width * ViewMargin; float marginLeft = cameraPosition.X + marginWidth; float marginRight = cameraPosition.X + viewport.Width - marginWidth; float TopMargin = .3f; float BottomMargin = .1f; float marginTop = cameraPosition.Y + viewport.Height * TopMargin; float marginBottom = cameraPosition.Y + viewport.Height - viewport.Height * BottomMargin; Vector2 CameraMovement; Vector2 maxCameraPosition; CameraMovement.X = 0.0f; if (Player.Position.X < marginLeft) CameraMovement.X = Player.Position.X - marginLeft; else if (Player.Position.X > marginRight) CameraMovement.X = Player.Position.X - marginRight; maxCameraPosition.X = 16 * Width - viewport.Width; cameraPosition.X = MathHelper.Clamp(cameraPosition.X + CameraMovement.X, 0.0f, maxCameraPosition.X); CameraMovement.Y = 0.0f; if (Player.Position.Y < marginTop) //above the top margin CameraMovement.Y = Player.Position.Y - marginTop; else if (Player.Position.Y > marginBottom) //below the bottom margin CameraMovement.Y = Player.Position.Y - marginBottom; maxCameraPosition.Y = 16 * Height - viewport.Height; cameraPosition.Y = MathHelper.Clamp(cameraPosition.Y + CameraMovement.Y, 0.0f, maxCameraPosition.Y); }

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  • snapping an angle to the closest cardinal direction

    - by Josh E
    I'm developing a 2D sprite-based game, and I'm finding that I'm having trouble with making the sprites rotate correctly. In a nutshell, I've got spritesheets for each of 5 directions (the other 3 come from just flipping the sprite horizontally), and I need to clamp the velocity/rotation of the sprite to one of those directions. My sprite class has a pre-computed list of radians corresponding to the cardinal directions like this: protected readonly List<float> CardinalDirections = new List<float> { MathHelper.PiOver4, MathHelper.PiOver2, MathHelper.PiOver2 + MathHelper.PiOver4, MathHelper.Pi, -MathHelper.PiOver4, -MathHelper.PiOver2, -MathHelper.PiOver2 + -MathHelper.PiOver4, -MathHelper.Pi, }; Here's the positional update code: if (velocity == Vector2.Zero) return; var rot = ((float)Math.Atan2(velocity.Y, velocity.X)); TurretRotation = SnapPositionToGrid(rot); var snappedX = (float)Math.Cos(TurretRotation); var snappedY = (float)Math.Sin(TurretRotation); var rotVector = new Vector2(snappedX, snappedY); velocity *= rotVector; //...snip private float SnapPositionToGrid(float rotationToSnap) { if (rotationToSnap == 0) return 0.0f; var targetRotation = CardinalDirections.First(x => (x - rotationToSnap >= -0.01 && x - rotationToSnap <= 0.01)); return (float)Math.Round(targetRotation, 3); } What am I doing wrong here? I know that the SnapPositionToGrid method is far from what it needs to be - the .First(..) call is on purpose so that it throws on no match, but I have no idea how I would go about accomplishing this, and unfortunately, Google hasn't helped too much either. Am I thinking about this the wrong way, or is the answer staring at me in the face?

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  • How to find vector for the quaternion from X Y Z rotations

    - by can poyrazoglu
    I am creating a very simple project on OpenGL and I'm stuck with rotations. I am trying to rotate an object indepentdently in all 3 axes: X, Y, and Z. I've had sleepless nights due to the "gimbal lock" problem after rotating about one axis. I've then learned that quaternions would solve my problem. I've researched about quaternions and implementd it, but I havent't been able to convert my rotations to quaternions. For example, if I want to rotate around Z axis 90 degrees, I just create the {0,0,1} vector for my quaternion and rotate it around that axis 90 degrees using the code here: http://iphonedevelopment.blogspot.com/2009/06/opengl-es-from-ground-up-part-7_04.html (the most complicated matrix towards the bottom) That's ok for one vector, but, say, I first want to rotate 90 degrees around Z, then 90 degrees around X (just as an example). What vector do I need to pass in? How do I calculate that vector. I am not good with matrices and trigonometry (I know the basics and the general rules, but I'm just not a whiz) but I need to get this done. There are LOTS of tutorials about quaternions, but I seem to understand none (or they don't answer my question). I just need to learn to construct the vector for rotations around more than one axis combined. UPDATE: I've found this nice page about quaternions and decided to implement them this way: http://www.cprogramming.com/tutorial/3d/quaternions.html Here is my code for quaternion multiplication: void cube::quatmul(float* q1, float* q2, float* resultRef){ float w = q1[0]*q2[0] - q1[1]*q2[1] - q1[2]*q2[2] - q1[3]*q2[3]; float x = q1[0]*q2[1] + q1[1]*q2[0] + q1[2]*q2[3] - q1[3]*q2[2]; float y = q1[0]*q2[2] - q1[1]*q2[3] + q1[2]*q2[0] + q1[3]*q2[1]; float z = q1[0]*q2[3] + q1[1]*q2[2] - q1[2]*q2[1] + q1[3]*q2[0]; resultRef[0] = w; resultRef[1] = x; resultRef[2] = y; resultRef[3] = z; } Here is my code for applying a quaternion to my modelview matrix (I have a tmodelview variable that is my target modelview matrix): void cube::applyquat(){ float& x = quaternion[1]; float& y = quaternion[2]; float& z = quaternion[3]; float& w = quaternion[0]; float magnitude = sqrtf(w * w + x * x + y * y + z * z); if(magnitude == 0){ x = 1; w = y = z = 0; }else if(magnitude != 1){ x /= magnitude; y /= magnitude; z /= magnitude; w /= magnitude; } tmodelview[0] = 1 - (2 * y * y) - (2 * z * z); tmodelview[1] = 2 * x * y + 2 * w * z; tmodelview[2] = 2 * x * z - 2 * w * y; tmodelview[3] = 0; tmodelview[4] = 2 * x * y - 2 * w * z; tmodelview[5] = 1 - (2 * x * x) - (2 * z * z); tmodelview[6] = 2 * y * z - 2 * w * x; tmodelview[7] = 0; tmodelview[8] = 2 * x * z + 2 * w * y; tmodelview[9] = 2 * y * z + 2 * w * x; tmodelview[10] = 1 - (2 * x * x) - (2 * y * y); tmodelview[11] = 0; glMatrixMode(GL_MODELVIEW); glPushMatrix(); glLoadMatrixf(tmodelview); glMultMatrixf(modelview); glGetFloatv(GL_MODELVIEW_MATRIX, tmodelview); glPopMatrix(); } And my code for rotation (that I call externally), where quaternion is a class variable of the cube: void cube::rotatex(int angle){ float quat[4]; float ang = angle * PI / 180.0; quat[0] = cosf(ang / 2); quat[1] = sinf(ang/2); quat[2] = 0; quat[3] = 0; quatmul(quat, quaternion, quaternion); applyquat(); } void cube::rotatey(int angle){ float quat[4]; float ang = angle * PI / 180.0; quat[0] = cosf(ang / 2); quat[1] = 0; quat[2] = sinf(ang/2); quat[3] = 0; quatmul(quat, quaternion, quaternion); applyquat(); } void cube::rotatez(int angle){ float quat[4]; float ang = angle * PI / 180.0; quat[0] = cosf(ang / 2); quat[1] = 0; quat[2] = 0; quat[3] = sinf(ang/2); quatmul(quat, quaternion, quaternion); applyquat(); } I call, say rotatex, for 10-11 times for rotating only 1 degree, but my cube gets rotated almost 90 degrees after 10-11 times of 1 degree, which doesn't make sense. Also, after calling rotation functions in different axes, My cube gets skewed, gets 2 dimensional, and disappears (a column in modelview matrix becomes all zeros) irreversibly, which obviously shouldn't be happening with a correct implementation of the quaternions.

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  • Help understand GLSL directional light on iOS (left handed coord system)

    - by Robse
    I now have changed from GLKBaseEffect to a own shader implementation. I have a shader management, which compiles and applies a shader to the right time and does some shader setup like lights. Please have a look at my vertex shader code. Now, light direction should be provided in eye space, but I think there is something I don't get right. After I setup my view with camera I save a lightMatrix to transform the light from global space to eye space. My modelview and projection setup: - (void)setupViewWithWidth:(int)width height:(int)height camera:(N3DCamera *)aCamera { aCamera.aspect = (float)width / (float)height; float aspect = aCamera.aspect; float far = aCamera.far; float near = aCamera.near; float vFOV = aCamera.fieldOfView; float top = near * tanf(M_PI * vFOV / 360.0f); float bottom = -top; float right = aspect * top; float left = -right; // projection GLKMatrixStackLoadMatrix4(projectionStack, GLKMatrix4MakeFrustum(left, right, bottom, top, near, far)); // identity modelview GLKMatrixStackLoadMatrix4(modelviewStack, GLKMatrix4Identity); // switch to left handed coord system (forward = z+) GLKMatrixStackMultiplyMatrix4(modelviewStack, GLKMatrix4MakeScale(1, 1, -1)); // transform camera GLKMatrixStackMultiplyMatrix4(modelviewStack, GLKMatrix4MakeWithMatrix3(GLKMatrix3Transpose(aCamera.orientation))); GLKMatrixStackTranslate(modelviewStack, -aCamera.position.x, -aCamera.position.y, -aCamera.position.z); } - (GLKMatrix4)modelviewMatrix { return GLKMatrixStackGetMatrix4(modelviewStack); } - (GLKMatrix4)projectionMatrix { return GLKMatrixStackGetMatrix4(projectionStack); } - (GLKMatrix4)modelviewProjectionMatrix { return GLKMatrix4Multiply([self projectionMatrix], [self modelviewMatrix]); } - (GLKMatrix3)normalMatrix { return GLKMatrix3InvertAndTranspose(GLKMatrix4GetMatrix3([self modelviewProjectionMatrix]), NULL); } After that, I save the lightMatrix like this: [self.renderer setupViewWithWidth:view.drawableWidth height:view.drawableHeight camera:self.camera]; self.lightMatrix = [self.renderer modelviewProjectionMatrix]; And just before I render a 3d entity of the scene graph, I setup the light config for its shader with the lightMatrix like this: - (N3DLight)transformedLight:(N3DLight)light transformation:(GLKMatrix4)matrix { N3DLight transformedLight = N3DLightMakeDisabled(); if (N3DLightIsDirectional(light)) { GLKVector3 direction = GLKVector3MakeWithArray(GLKMatrix4MultiplyVector4(matrix, light.position).v); direction = GLKVector3Negate(direction); // HACK -> TODO: get lightMatrix right! transformedLight = N3DLightMakeDirectional(direction, light.diffuse, light.specular); } else { ... } return transformedLight; } You see the line, where I negate the direction!? I can't explain why I need to do that, but if I do, the lights are correct as far as I can tell. Please help me, to get rid of the hack. I'am scared that this has something to do, with my switch to left handed coord system. My vertex shader looks like this: attribute highp vec4 inPosition; attribute lowp vec4 inNormal; ... uniform highp mat4 MVP; uniform highp mat4 MV; uniform lowp mat3 N; uniform lowp vec4 constantColor; uniform lowp vec4 ambient; uniform lowp vec4 light0Position; uniform lowp vec4 light0Diffuse; uniform lowp vec4 light0Specular; varying lowp vec4 vColor; varying lowp vec3 vTexCoord0; vec4 calcDirectional(vec3 dir, vec4 diffuse, vec4 specular, vec3 normal) { float NdotL = max(dot(normal, dir), 0.0); return NdotL * diffuse; } ... vec4 calcLight(vec4 pos, vec4 diffuse, vec4 specular, vec3 normal) { if (pos.w == 0.0) { // Directional Light return calcDirectional(normalize(pos.xyz), diffuse, specular, normal); } else { ... } } void main(void) { // position highp vec4 position = MVP * inPosition; gl_Position = position; // normal lowp vec3 normal = inNormal.xyz / inNormal.w; normal = N * normal; normal = normalize(normal); // colors vColor = constantColor * ambient; // add lights vColor += calcLight(light0Position, light0Diffuse, light0Specular, normal); ... }

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  • Numerically stable(ish) method of getting Y-intercept of mouse position?

    - by Fraser
    I'm trying to unproject the mouse position to get the position on the X-Z plane of a ray cast from the mouse. The camera is fully controllable by the user. Right now, the algorithm I'm using is... Unproject the mouse into the camera to get the ray: Vector3 p1 = Vector3.Unproject(new Vector3(x, y, 0), 0, 0, width, height, nearPlane, farPlane, viewProj; Vector3 p2 = Vector3.Unproject(new Vector3(x, y, 1), 0, 0, width, height, nearPlane, farPlane, viewProj); Vector3 dir = p2 - p1; dir.Normalize(); Ray ray = Ray(p1, dir); Then get the Y-intercept by using algebra: float t = -ray.Position.Y / ray.Direction.Y; Vector3 p = ray.Position + t * ray.Direction; The problem is that the projected position is "jumpy". As I make small adjustments to the mouse position, the projected point moves in strange ways. For example, if I move the mouse one pixel up, it will sometimes move the projected position down, but when I move it a second pixel, the project position will jump back to the mouse's location. The projected location is always close to where it should be, but it does not smoothly follow a moving mouse. The problem intensifies as I zoom the camera out. I believe the problem is caused by numeric instability. I can make minor improvements to this by doing some computations at double precision, and possibly abusing the fact that floating point calculations are done at 80-bit precision on x86, however before I start micro-optimizing this and getting deep into how the CLR handles floating point, I was wondering if there's an algorithmic change I can do to improve this? EDIT: A little snooping around in .NET Reflector on SlimDX.dll: public static Vector3 Unproject(Vector3 vector, float x, float y, float width, float height, float minZ, float maxZ, Matrix worldViewProjection) { Vector3 coordinate = new Vector3(); Matrix result = new Matrix(); Matrix.Invert(ref worldViewProjection, out result); coordinate.X = (float) ((((vector.X - x) / ((double) width)) * 2.0) - 1.0); coordinate.Y = (float) -((((vector.Y - y) / ((double) height)) * 2.0) - 1.0); coordinate.Z = (vector.Z - minZ) / (maxZ - minZ); TransformCoordinate(ref coordinate, ref result, out coordinate); return coordinate; } // ... public static void TransformCoordinate(ref Vector3 coordinate, ref Matrix transformation, out Vector3 result) { Vector3 vector; Vector4 vector2 = new Vector4 { X = (((coordinate.Y * transformation.M21) + (coordinate.X * transformation.M11)) + (coordinate.Z * transformation.M31)) + transformation.M41, Y = (((coordinate.Y * transformation.M22) + (coordinate.X * transformation.M12)) + (coordinate.Z * transformation.M32)) + transformation.M42, Z = (((coordinate.Y * transformation.M23) + (coordinate.X * transformation.M13)) + (coordinate.Z * transformation.M33)) + transformation.M43 }; float num = (float) (1.0 / ((((transformation.M24 * coordinate.Y) + (transformation.M14 * coordinate.X)) + (coordinate.Z * transformation.M34)) + transformation.M44)); vector2.W = num; vector.X = vector2.X * num; vector.Y = vector2.Y * num; vector.Z = vector2.Z * num; result = vector; } ...which seems to be a pretty standard method of unprojecting a point from a projection matrix, however this serves to introduce another point of possible instability. Still, I'd like to stick with the SlimDX Unproject routine rather than writing my own unless it's really necessary.

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