Cubic Bezier Curve Interaction - c++

So I currently have a cubic bezier patch on the XZ plane (y = 0, so it is a flat patch). The patch is made up of 16 control points and 400 total grid points. What I am trying to currently implement is to select 1 of the middle 4 control points (any of them), and increment in any coordinate direction.
I think I that the part I am having trouble with is actually displaying the changes with OpenGL drawing functions. Below is the code for creating the patch and my current drawing function as well as a sample of the increment function I'm currently using.
Grid is a 2d array of all of the grid points.
Control is a 2d array of the 16 control points.
control_point is changed by a menu function that the user picks (options 1-4) and is initialized to 1.
Edit: Fixed last 2 control points in switch statement.
void bezier_plane()
{
CalcBezier();
for (int i = 0; i < 19; i++) {
for (int j = 0; j < 19; j++) {
glPolygonMode(GL_FRONT_AND_BACK, GL_LINE);
glBegin(GL_TRIANGLE_STRIP);
glVertex3f(grid[i][j].x, grid[i][j].y, grid[i][j].z);
glVertex3f(grid[i][j+1].x, grid[i][j+1].y, grid[i][j+1].z);
glVertex3f(grid[i+1][j].x, grid[i+1][j].y, grid[i+1][j].z);
glVertex3f(grid[i+1][j+1].x, grid[i+1][j+1].y, grid[i+1][j+1].z);
glEnd();
}
}
}
void CalcBezier()
{
float u;
float v;
u = 0;
for (int i = 0; i < 20; i++) {
v = 0;
for (int j = 0; j < 20; j++) {
for (int x = 0; x < 4; x++) {
for (int y = 0; y < 4; y++) {
grid[i][j].x += control[x][y].x * Bezier3(x, u) * Bezier3(y, v);
grid[i][j].y += control[x][y].y * Bezier3(x, u) * Bezier3(y, v);
grid[i][j].z += control[x][y].z * Bezier3(x, u) * Bezier3(y, v);
}
}
v+=.05;
}
u+=.05;
}
}
/*Is called when a menu button is hit, indicating that the control point is incremented in the y direction*/
void OnYInc()
{
switch(control_point) {
case 1:
control[1][1].y += 2;
break;
case 2:
control[1][2].y += 2;
break;
case 3:
control[2][3].y += 2;
break;
case 4:
control[2][4].y += 2;
break;
}
InvalidateRect(NULL, FALSE);
}
My onDraw function simply calls bezier_plane() as well. Right now, with the above code, when I try to increment in terms of y. The triangles in the mesh simply get bigger, but it does not seem to draw it correctly at all. It is a little hard to describe.
Result looks like this. First screenshot is before I have hit increment. Second screenshot and third screenshot is what it looks like after 1 click and then after 10 clicks. I'm also not quite sure why the range of the patch is actually changing when I increment in the y direction (it seems to get bigger as I keep incrementing y).

radical7 has solved it for you. Because you don't set grid to zero before calling CalcBezier, every time CalcBezier is called all the grid values are incremented. Changed OnYInc to leave the control points alone and just InvalidateRect and you will see the same behaviour

Related

How to create a Minecraft chunk in opengl?

I'm learning OpenGL and I have tried to make a voxel game like Minecraft. In the beginning, everything was good. I created a CubeRenderer class to render a cube with its position. The below picture is what I have done.
https://imgur.com/yqn783x
And then I got a serious problem when I try to create a large terrain, I hit a slowing performance. It was very slow and fps just around 15fps, I thought.
Next, I figured out Minecraft chunk and culling face algorithm can solve slowing performance by dividing the world map into small pieces like chunk and just rendering visible faces of a cube. So how to create a chunk in the right way and how the culling face algorithm is applied in Chunk?
So far, that is what I have tried
I read about Chunk in Minecraft at https://minecraft.gamepedia.com/Chunk
I created a demo Chunk by this below code (it is not the completed code because I removed it out)
I created a CubeData that contains cube position and cube type.
And I call the GenerateTerrain function to make a simple chunk data (16x16x16) like below (CHUNK_SIZE is 16)
for (int x = 0; x < CHUNK_SIZE; x++) {
for (int y = 0; y < CHUNK_SIZE; y++) {
for (int z = 0; z < CHUNK_SIZE; z++) {
CubeType cubeType = { GRASS_BLOCK };
Location cubeLocation = { x, y, z };
CubeData cubeData = { cubeLocation, cubeType };
this->Cubes[x][y][z] = cubeData;
}
}
}
After that, I had a boolean array which is called "mask" contains two values are 0 (not visible) or 1 (visible) and matches with their cube data. And then I call Render function of Chunk class to render a chunk. This code below like what I have done (but it is not complete code because I removed that code and replaced with new code)
for (int x = 0; x < CHUNK_SIZE; x++) {
for (int y = 0; y < CHUNK_SIZE; y++) {
for (int z = 0; z < CHUNK_SIZE; z++) {
for(int side = 0; side < 6;side++){
if(this->mask[x][y][z][side] == true) cubeRenderer.Render(cubeData[x][y][z]);
}
}
}
}
But the result I got that everything still slow (but it is better than the first fps, from 15fps up to 25-30fps, maybe)
I guess it is not gpu problem, it is a cpu problem because there is too many loops in render call.
So I have kept research because I think my approach was wrong. There may have some right way to create a chunk, right?
So I found the solution that puts every visible verticle to one VBO. So I just have to call and bind VBO definitely one time.
So this below code show what I have tried
cout << "Generating Terrain..." << endl;
for (int side = 0; side < 6; side++) {
for (int x = 0; x < CHUNK_SIZE; x++) {
for (int y = 0; y < CHUNK_SIZE; y++) {
for (int z = 0; z < CHUNK_SIZE; z++) {
if (this->isVisibleSide(x, y, z, side) == true) {
this->cubeRenderer.AddVerticleToVBO(this->getCubeSide(side), glm::vec3(x, y, z), this->getTexCoord(this->Cubes[x][y][z].cubeType, side));
}
}
}
}
}
this->cubeRenderer.GenerateVBO();
And call render one time at all.
void CubeChunk::Update()
{
this->cubeRenderer.Render(); // with VBO data have already init above
}
And I got this:
https://imgur.com/YqsrtPP
I think my way was wrong.
So what should I do to create a chunk? Any suggestion?

munmap_chunk() - Invalid pointer error

I'm writing a renderer using low-level SDL functions to learn how it all works. I am now trying to do polygon drawing, but I run into errors possibly due to my inexperience with C++. When running the code I get a munmap_chunk() - Invalid pointer error. Searching reveals that it is most likely due to free()-ing the memory twice. The error happens when returning from the function. I realize that the error comes from automatically free()ing memory which has been automatically free()d before, but I'm not experienced enough with C++ to spot the error. Any clues?
My code:
void DrawPolygon (const vector<vec3> & verts, vec3 color){
// 0. Project to the screen
vector<ivec2> vertices(verts.size());
for(int i = 0; i < verts.size(); i++){
VertexShader(verts.at(i), vertices.at(i));
}
// 1. Find max and min y-value of the polygon
// and compute the number of rows it occupies.
int miny = vertices[0].y;
int maxy = vertices[0].y;
for (int i = 1; i < 3; i++){
if (vertices[i].y < miny){
miny = vertices[i].y;
}
if (vertices[i].y > maxy){
maxy = vertices[i].y;
}
}
int rows = abs(maxy - miny) + 1;
// 2. Resize leftPixels and rightPixels
// so that they have an element for each row.
vector<ivec2> leftPixels(rows);
vector<ivec2> rightPixels(rows);
// 3. Initialize the x-coordinates in leftPixels
// to some really large value and the x-coordinates
// in rightPixels to some really small value.
for(int i = 0; i < rows; i++){
leftPixels[i].x = std::numeric_limits<int>::max();
rightPixels[i].x = std::numeric_limits<int>::min();
leftPixels[i].y = miny + i;
rightPixels[i].y = miny + i;
}
// 4. Loop through all edges of the polygon and use
// linear interpolation to find the x-coordinate for
// each row it occupies. Update the corresponding
// values in rightPixels and leftPixels.
for(int i = 0; i < 3; i++){
ivec2 a = vertices[i];
ivec2 b = vertices[(i+1)%3];
// find the number of pixels to draw
ivec2 delta = glm::abs(a - b);
int pixels = glm::max(delta.x, delta.y) + 1;
// interpolate to find the pixels
vector<ivec2> line (pixels);
Interpolate(a, b, line);
for(int j = 0; j < pixels; j++){
ivec2 p = line[j];
ivec2 cmpl = leftPixels[p.y - miny];
ivec2 cmpr = rightPixels[p.y - miny];
if(p.x < cmpl.x){
leftPixels[p.y - miny].x = p.x;
//leftPixels[p.y - miny] = cmpl;
}
if(p.x > cmpr.x){
rightPixels[p.y - miny].x = p.x;
//cmpr.x = p.x;
//rightPixels[p.y - miny] = cmpr;
}
}
}
for(int i = 0; i < leftPixels.size(); i++){
ivec2 l = leftPixels.at(i);
ivec2 r = rightPixels.at(i);
// y coord the same, iterate over x
int y = l.y;
for(int x = l.x; x <= r.x; x++){
PutPixelSDL(screen, x, y, color);
}
}
}
Using valgrind gives me this output (this is the first error it reports). Weirdly, the program recovers and keeps running with the expected result, apparently not getting the same error again:
==5706== Invalid write of size 4
==5706== at 0x40AD61: DrawPolygon(std::vector<glm::detail::tvec3<float>, std::allocator<glm::detail::tvec3<float> > > const&, glm::detail::tvec3<float>) (in /home/actimia/prog/dgi14/lab3/ThirdLab)
==5706== by 0x409C78: Draw() (in /home/actimia/prog/dgi14/lab3/ThirdLab)
==5706== by 0x409668: main (in /home/actimia/prog/dgi14/lab3/ThirdLab)
I think my previous post on similar topic would be useful.
https://stackoverflow.com/a/22658693/2724703
From your Valgrind report, it look like your program is doing memory corruption due to overflow. This does not seems like "double free" error(this is overflow scenario). You have mentioned that sometime valgrind is not reporting any error this makes this problem more difficult. However there is certainly a memory corruption and you must fix them. Memory error sometime occur intermittent due to various reason(different input parameter, multi-threaded, change of execution sequence).

Interfering Vector in glBegin()

I am trying to implement code for an assignment to render skeleton and mesh animations. In my glBegin(GL_TRIANGLES) section, I have some vectors that appear to be interfering with my information when it shouldn't.
glBegin(GL_TRIANGLES);
for (int i = 0; i < mesh->nfaces.size(); i += 1)
for (int k = 0; k < 3; k += 1) {
int j = k;//2 - k;
glm::vec4 myPointPrime;
myPointPrime.w = 1;
myPoint.x = ecks = mesh->vertex[mesh->faces[i][j]][0];
myPoint.y = why = mesh->vertex[mesh->faces[i][j]][1];
myPoint.z = zed = mesh->vertex[mesh->faces[i][j]][2];
// Stuff vvvv THIS CAUSES PROBLEMS
for (int t = 0; t < mySkeleton->vertex.at(i).size(); t++) {
myPointPrime += mySkeleton->vertex[i][j] * MyXformations * myPoint;
}
glNormal3f(mesh->normal[mesh->nfaces[i][j]][0],
mesh->normal[mesh->nfaces[i][j]][1],
mesh->normal[mesh->nfaces[i][j]][2]);
glVertex3f(mesh->vertex[mesh->faces[i][j]][0],
mesh->vertex[mesh->faces[i][j]][1],
mesh->vertex[mesh->faces[i][j]][2]);
// glVertex3f(myPointPrime.x, myPointPrime.y, myPointPrime.z);
// glVertex3f(myPoint.x, myPoint.y, myPoint.z);
}
glEnd();
The myPointPrime += ... code is doing something weird to my Vertex calls, the scene won't render unless I comment out that for loop.
If I comment out the loop, then the scene renders, but I think I kinda need the loop if animating something like 16,000 vertexes is going to have any performance at all.
Is having that there kind of like having it automatically multiply with the glVertex calls?
Edit:
Below is another version of the code I hope should be more clear, instead of calculating the points in the actual drawing code I change the whole mesh to supposedly follow the skeleton each frame, but nothing is rendered.
for (int vertex_i = 0; vertex_i < mesh->nfaces.size(); vertex_i++) {
for (int k = 0; k < 3; k += 1) {
int j = k;//2 - k;
pointp.x = 0;
pointp.y = 0;
pointp.z = 0;
for (int t = 0; t < mySkeleton->vertex.at(vertex_i).size(); t++) {
point.x = mesh->vertex[mesh->faces[vertex_i][j]][0];
point.y = mesh->vertex[mesh->faces[vertex_i][j]][1];
point.z = mesh->vertex[mesh->faces[vertex_i][j]][2];
//glPushMatrix();
pointp += mySkeleton->vertex[vertex_i][t] * myTranslationMatrix * myRotationMatrix * point;
cout << "PointP X: " << pointp.x << " PointP Y: " << pointp.y << " PointP Z: " << pointp.z << endl;
mesh->vertex[mesh->faces[vertex_i][j]][0] = pointp.x;
mesh->vertex[mesh->faces[vertex_i][j]][1] = pointp.y;
mesh->vertex[mesh->faces[vertex_i][j]][2] = pointp.z;
//myPointPrime += MyXformations * myPoint;
}
}
}
My assumption is that maybe the calculations for pointp isn't doing what I think its doing?
mySkeleton->vertex[vertex_i][t] is a vector from my 'skeleton' class, it holds all of the weights for every vertex, there are 17 weights per vertex.
"MyXformations" is a 4x4 matrix passed from my skeleton animation function that holds the last known key frame and this is applied to the vertexes.
point is the current point in the vertex.
Your loop variable is t. However, you refer to j in the loop. Looks to me like your loop might simply be crashing for larger values of j.
You're not using t inside the for loop. Is this expected?
mySkeleton->vertex[i][j] looks like it's out of bounds since j should be for mesh->faces/mesh->nfaces.
Also you can use glNormal3fv and glVertex3fv with arrays.
With out of bounds memory operations you can get all sorts of weird stuff happening, although I can't see any out of bound writes. Your * operators don't modify the objects do they?
If you're worried about performance. You shouldn't be using immediate mode. Instead, put all your data on the GPU with buffer objects (including join/bone transformations) and animate on the fly in the vertex shader.
This is from a few years ago, but worth a read: Animated Crowd Rendering.

Particle Deposition Terrain Generation

I'm using Particle Deposition to try and create some volcano-like mountains procedurally but all I'm getting out of it is pyramid-like structures. Is anyone familiar with the algorithm that might be able to shed some light on what I might be doing wrong. I'm dropping each particle in the same place at the moment. If I don't they spread out in a very thin layer rather than any sort of mountain.
void TerrainClass::ParticalDeposition(int loops){
float height = 0.0;
//for(int k= 0; k <10; k++){
int dropX = mCurrentX = rand()%(m_terrainWidth-80) + 40;
int dropY = mCurrentZ = rand()%(m_terrainHeight-80) + 40;
int radius = 15;
float angle = 0;
int tempthing = 0;
loops = 360;
for(int i = 0; i < loops; i++){
mCurrentX = dropX + radius * cos(angle);
mCurrentZ = dropY + radius * sin(angle);
/*f(i%loops/5 == 0){
dropX -= radius * cos(angle);
dropY += radius * sin(angle);
angle+= 0.005;
mCurrentX = dropX;
mCurrentZ = dropY;
}*/
angle += 360/loops;
//dropX += rand()%5;
//dropY += rand()%5;
//for(int j = 0; j < loops; j++){
float newY = 0;
newY = (1 - (2.0f/loops)*i);
if(newY < 0.0f){
newY = 0.0f;
}
DepositParticle(newY);
//}
}
//}
}
void TerrainClass::DepositParticle(float heightIncrease){
bool posFound = false;
m_lowerList.clear();
while(posFound == false){
int offset = 10;
int jitter;
if(Stable(0.5f)){
m_heightMap[(m_terrainHeight*mCurrentZ)+mCurrentX].y += heightIncrease;
posFound = true;
}else{
if(!m_lowerList.empty()){
int element = rand()%m_lowerList.size();
int lowerIndex = m_lowerList.at(element);
MoveTo(lowerIndex);
}
}
}
}
bool TerrainClass::Stable(float deltaHeight){
int index[9];
float height[9];
index[0] = ((m_terrainHeight*mCurrentZ)+mCurrentX); //the current index
index[1] = ValidIndex((m_terrainHeight*mCurrentZ)+mCurrentX+1) ? (m_terrainHeight*mCurrentZ)+mCurrentX+1 : -1; // if the index to the right is valid index set index[] to index else set index[] to -1
index[2] = ValidIndex((m_terrainHeight*mCurrentZ)+mCurrentX-1) ? (m_terrainHeight*mCurrentZ)+mCurrentX-1 : -1; //to the left
index[3] = ValidIndex((m_terrainHeight*(mCurrentZ+1))+mCurrentX) ? (m_terrainHeight*(mCurrentZ+1))+mCurrentX : -1; // above
index[4] = ValidIndex((m_terrainHeight*(mCurrentZ-1))+mCurrentX) ? (m_terrainHeight*(mCurrentZ-1))+mCurrentX : -1; // bellow
index[5] = ValidIndex((m_terrainHeight*(mCurrentZ+1))+mCurrentX+1) ? (m_terrainHeight*(mCurrentZ+1))+mCurrentX+1: -1; // above to the right
index[6] = ValidIndex((m_terrainHeight*(mCurrentZ-1))+mCurrentX+1) ? (m_terrainHeight*(mCurrentZ-1))+mCurrentX+1: -1; // below to the right
index[7] = ValidIndex((m_terrainHeight*(mCurrentZ+1))+mCurrentX-1) ? (m_terrainHeight*(mCurrentZ+1))+mCurrentX-1: -1; // above to the left
index[8] = ValidIndex((m_terrainHeight*(mCurrentZ-1))+mCurrentX-1) ? (m_terrainHeight*(mCurrentZ-1))+mCurrentX-1: -1; // above to the right
for ( int i = 0; i < 9; i++){
height[i] = (index[i] != -1) ? m_heightMap[index[i]].y : -1;
}
m_lowerList.clear();
for(int i = 1; i < 9; i++){
if(height[i] != -1){
if(height[i] < height[0] - deltaHeight){
m_lowerList.push_back(index[i]);
}
}
}
return m_lowerList.empty();
}
bool TerrainClass::ValidIndex(int index){
return (index > 0 && index < m_terrainWidth*m_terrainHeight) ? true : false;
}
void TerrainClass::MoveTo(int index){
mCurrentX = index%m_terrainWidth;
mCurrentZ = index/m_terrainHeight;
}
Thats all the code thats used.
You should have a look at these two papers:
Fast Hydraulic Erosion Simulation and Visualization on GPU
Fast Hydraulic and Thermal Erosion on the GPU (read the first one first, the second one expands on it)
Don't get scared by the "on GPU", the algorithms work just fine on CPU (albeit slower). The algorithms don't do particle sedimentation per se (but you don't either ;) ) - they instead aggregate the particles into several layers of vector fields.
One important thing about this algorithm is that it erodes already existing heightmaps - for example generated with perlin noise. It fails miserably if the initial height field is completely flat (or even if it has insufficient height variation).
I had implemented this algorithm myself and had mostly success with it (still have more work to do, the algorithms are very hard to balance to give universally great results) - see the image below.
Note that perlin noise with the Thermal weathering component from the second paper may be well enough for you (and might save you a lot of trouble).
You can also find C++ CPU-based implementation of this algorithm in my project (specifically this file, mind the GPL license!) and its simplified description on pages 24-29 of my thesis.
Your particles will need to have some surface friction and/or stickiness (or similar) in their physics model if you want them to not spread out into a single-layer. This is performed in the collision detection and collision response parts of your code when updating your particle simulation.
A simple approach is to make the particles stick (attract each-other). Particles need to have a size too so that they don't simply converge to perfectly overlapping. If you want to make them attract each other, then you need to test the distance between particles.
You might benefit from looking through some of the DirectX SDK examples that use particles, and in particular (pun arf!) there is a great demo (by Simon Green?) in the NVidia GPU Computing SDK that implements sticky particles in CUDA. It includes a ReadMe document describing what they've done. You can see how the particles interact and ignore all the CUDA/GPU stuff if you aren't going for massive particle counts.
Also note that as soon as you use inter-particle forces, then you are checking approximately 0.5*n^2 combinations (pairs) of particles...so you may need to use a simple spatial partitioning scheme or similar to limit forces to nearby groups of particles only.
Good luck!

Can someone explain how I am to access this array? (image processing program)

I am working on the implementation of functions for an already written image processing program. I am given explanations of functions, but not sure how they are designating pixels of the image.
In this case, I need to flip the image horizontally, i.e., rotates 180 degrees around the vertical axis
Is this what makes the "image" i am to flip?
void Image::createImage(int width_x, int height_y)
{
width = width_x;
height = height_y;
if (pixelData!=NULL)
freePixelData();
if (width <= 0 || height <= 0) {
return;
}
pixelData = new Color* [width]; // array of Pixel*
for (int x = 0; x < width; x++) {
pixelData[x] = new Color [height]; // this is 2nd dimension of pixelData
}
}
I do not know if all the functions I have written are correct.
Also, the Image class calls on a Color class
So to re-ask: what am I "flipping" here?
Prototype for function is:
void flipLeftRight();
As there is no input into the function, and I am told it modifies pixelData, how do I flip left to right?
A quick in place flip. Untested, but the idea is there.
void flipHorizontal(u8 *image, u32 width, u32 height)
{
for(int i=0; i < height; i++)
{
for(int j=0; j < width/2; j++)
{
int sourceIndex = i * width + j;
int destIndex = (i+1) * width - j - 1;
image[sourceIndex] ^= image[destIndex];
image[destIndex] ^= image[sourceIndex];
image[sourceIndex] ^= image[destIndex];
}
}
}
well, the simplest approach would be to read it 1 row at a time into a temporary buffer the same size as 1 row.
Then you could use something like std::reverse on the temporary buffer and write it back.
You could also do it in place, but this is the simplest approach.
EDIT: what i;ve described is a mirror, not a flip, to mirror you also need to reverse the order of the rows. Nothing too bad, to do that I would create a buffer the same size as the image, copy the image and then write it back with the coordinates adjusted. Something like y = height - x and x = width - x.