Cogs and Levers A blog full of technical stuff

Getting started with Lua using C++

Introduction

Lua is a programming language that has seen increased popularity from the game development industry. It’s put to use in the disciplines of providing configuration data all the way through to scripting automated character actions.

In today’s post, I’ll walk you through the setup process of the libraries up to writing your first testing application within a Linux environment.

Library Installation

Before you get downloading and building this library, you’ll just need to ensure that you have a build environment installed and are able to compile.

At the time of writing this article, the Lua website had 5.2.3 as their latest release. From their downloads page, grab the latest tar.gz archive and extract it onto your machine. Following along with their building instructions, issuing “make linux test” whilst in the extracted folder did the trick. It built Lua ready for me to use. A nice convenience of the make file was the “make local” option. Upon issuing this request, the make system will prepare an installation folder that is suitable for you to use locally (i.e. not installed to the system).

When it comes to downloading the latest versions of libraries, I’ll rarely install these to my system. Rather, I drag them around for each project that needs them so that the project determines its dependencies as opposed to my system.

From here, I prepare a distributable directory of development files that I know that each of my project needs. In the case of Lua, I create the following structure:

.
└── lua-5.2.3
    ├── include
    │   ├── lauxlib.h
    │   ├── luaconf.h
    │   ├── lua.h
    │   ├── lua.hpp
    │	  └── lualib.h
    └── lib
    	├── liblua.a
    	└── lua
    		└── 5.2

I have all of the development headers available (under the “include” folder) and a static version of the Lua library (under lib).

Building applications

When building Lua applications, you’ll need to specify the libraries and include folders to your compiler so it knows where to find them. For a test application that I’d written, the following command line compiled an application for me without any trouble.

$ g++ -Ilib/lua-5.2.3/include -Llib/lua-5.2.3/lib/ -llua -ldl

You can see at the end there, mention of both the “lua” and “dl” libraries.

Test application

A very simple test to start will be creating a program that will execute a Lua script, pull out on of its global variables and display it to screen.

Here’s our Lua script:

x = 10

Pretty simple. We have one variable x set to 10. Now here’s the C++ code that we use to read that one variable out and present it to screen.

#include <iostream>
#include <lua.hpp>

int main(int argc, char *argv[]) {
  // create a new lua context to work with
  lua_State *L = luaL_newstate();

  // open any library we may use
  luaL_openlibs(L);

  // read the Lua script off disk and execute it
  if ((luaL_dofile(L, "test.lua")) != 0) {
    
    // handle any errors 
    std::cout << "unable to load test.lua" << std::endl;
    return 1;
    
  }

  // put the value of X at the top of the stack
  lua_getglobal(L, "x");
  
  // interpret the value at the top of the stack 
  // as an integer and put it in the variable "val"
  int val = (int)lua_tointeger(L, -1);
  
  // pop the value of X off the stack
  lua_pop(L, 1);

  // write the value out
  std::cout << "Value of X: " << val << std::endl;

  // finish up with the Lua context
  lua_close(L);

  return 0;

}

I think that the source code above (paired with the documentation on the Lua website) should make things pretty straight forward.

That’s it for today. This is only scratching the surface on what Lua can do. For my purposes right now, I just need to feed configuration values into programs, this fits the purpose really well.

Installing SDL2 on Linux

Introduction

SDL2 was released a little while ago, but still hasn’t made it into the stable repositories of some Linux distributions. After doing a big of digging, it’s not too hard to get this installed yourself - most of the advice offered in this post comes from an answer on the Ubuntu forums here.

In today’s post, we’ll install SDL2 on a Debian/Ubuntu style distribution from source.

Dependencies

First thing before we download and compile the SDL2 source is to get some of the dependencies installed on your system. The following install line will put all of the libraries that SDL2 requires:

$ sudo apt-get install build-essential xorg-dev libudev-dev libts-dev libgl1-mesa-dev libglu1-mesa-dev libasound2-dev libpulse-dev libopenal-dev libogg-dev libvorbis-dev libaudiofile-dev libpng12-dev libfreetype6-dev libusb-dev libdbus-1-dev zlib1g-dev libdirectfb-dev

Once all of these have installed successfully, you’ll need to download a copy of the source. All downloads can be found here. This guide will assume that you’ll download the .tar.gz source archive.

Compilation and Installation

Extract the package into a directory under your home directory, somewhere . . .

	
$ tar -xzf SDL2-*.tar.gz
$ cd SDL2-*

Next we’ll configure, build and install the libraries.

	
$ ./configure
$ make
$ sudo make install

Once compilation and installation have complete, you’ll need to update your library links/cache. Do this with the following command:

	
$ sudo ldconfig

That’s all there is to it.

Perlin Noise

Introduction

Noise functions in computer applications allow programmers to make the machine act a little more naturally. It’s the randomness introduced with these algorithms that gives the computer what appears to be “free thought” or unexpected decisions.

Today, I’ll walk through the Perlin Noise algorithm which has applications in computer science ranging from player movement, landscape generation, clouds, etc.

Here are some examples of the Perlin Noise function output into two dimensions:

Noise 1 Noise 2

In today’s post, I’ll walk through the Perlin Noise algorithm and what steps you need to take to implement it yourself.

Understanding Noise

The Perlin Noise algorithm can be broken down into a few smaller pieces to make it easier to understand. At its heart, the algorithm needs pseudo-random numbers. These random numbers should be repeatable so that you can re-generate the same noise pattern at will.

A common noise function for two parameters that I have found used over the web is as follows:

float noise(const int x, const int y) {
  int n = x + y * 57;
  n = (n << 13) ^ n;
  return (1.0f - ( ( n * (n * n * 15731 + 789221) + 1376312589) & 0x7FFFFFFF) / 1073741824.0f);
}

There’s a lot of math transformation in this previous function. You can use any function at all to produce your random numbers, just make sure that you can generate them against two parameters (in the case of 2d) and that you’ll get repeatable results.

Next we’ll smooth out the noise between two points. We’ll do this by sampling the corners, sides and centre of the point we’re currently generating for.

float smoothNoise(const float x, const float y) {
  int ix = (int)x;
  int iy = (int)y;

  // sample the corners
  float corners = (noise(ix - 1, iy - 1) +
                   noise(ix + 1, iy - 1) +
                   noise(ix - 1, iy + 1) +
                   noise(ix + 1, iy + 1)) / 16;

  // sample the sides
  float sides = (noise(ix - 1, iy) +
                 noise(ix + 1, iy) +
                 noise(ix, iy - 1) +
                 noise(ix, iy + 1)) / 8;

  // sample the centre
  float centre = noise(ix, iy);

  // send out the accumulated result
  return corners + sides + centre;
}

With the above function, we can now sample a small area for a given point. All based on our random number generator.

For the fractional parts that occur between solid boundaries, we’ll use a specific interpolation method. I’ve defined two below. One that will do linear interpolation and one that will use cosine for a smoother transition between points.

/* Linear interpolation */
float lerp(float a, float b, float x) {
   return a * (1 - x) + b * x;
}

/* Trigonometric interpolation */
float terp(float a, float b, float x) {
  float ft = x * 3.1415927f;
  float f = (1 - cosf(ft)) * 0.5f;

  return a * (1 - f) + b * f;
}

/* Noise interpolation */
float interpolateNoise(const float x, const float y) {
  int   ix = (int)x;
  float fx = x - ix;

  int   iy = (int)y;
  float fy = y - iy;

  float v1 = smoothNoise(ix, iy),
        v2 = smoothNoise(ix + 1, iy),
        v3 = smoothNoise(ix, iy + 1),
        v4 = smoothNoise(ix + 1, iy + 1);

  float i1 = terp(v1, v2, fx),
        i2 = terp(v3, v4, fx);

  return terp(i1, i2, fy);
}

Finally we use this smooth interpolation to perform the perlin noise function. A couple of interesting co-effecients that are provided to the algorithm are “octaves” and “persistence”. “octaves” defines how many iterations that will be performed and “persistence” defines how much of the spectrum we’ll utilise. It’s highly interactive to the main curve co-effecients: frequency and amplitude.

float perlin2d(const float x, const float y,
               const int octaves, const float persistence) {
  float total = 0.0f;

  for (int i = 0; i <= (octaves - 1); i ++) {
    float frequency = powf(2, i);
    float amplitude = powf(persistence, i);

    total = total + interpolateNoise(x * frequency, y * frequency) * amplitude;
  }

  return total;
}

This now provides us with a way to create a map (or 2d array) to produce images much like I’d pasted in above. Here is a typical build loop.

for (int x = 0; x < w; x ++) {
  for (int y = 0; y < h; y ++) {
    float xx = (float)x / (float)this->width;
    float yy = (float)y / (float)this->height;

    map[x + (y * w)] = perlin::perlin2d(
      xx, yy,
      6, 1.02f
    );
  }
}

That should be enough to get you going.

Follow up to a Camera Implementation

Introduction

In a previous post I’d written about a simple camera implementation that you can use in projects of your own. This post I’ll show how I’ve implemented this camera with some mouse handling routines to make it feel like you’re orienting your head with the mouse.

The Idea

We’ll capture all of the mouse movements given in an application and see how far the mouse deviates from a given origin point. I think that the most sane origin point to go from is the center of your window. For each movement that the mouse makes from the center of the window, we need to:

  • Determine how much movement occurred on the x axis
  • Determine how much movement occurred on the y axis
  • Deaden this movement by a co-efficient to simulate mouse “sensitivity”
  • Set the yaw and pitch (head up/down, left/right) of the camera
  • Reset the mouse back to the origin point

Here’s how I’ve done it in code:

void mouseMotion(int x, int y) {
  // calculate the origin point (shifting right divides by two, remember!)
  int halfWidth = windowWidth >> 1;
  int halfHeight = windowHeight >> 1;

  // calculate how far we deviated from the origin point and deaden this
  // by a factor of 20
  float deltaX = (halfWidth - x) / 20.0f;
  float deltaY = (halfHeight - y) / 20.0f;

  // don't do anything if there wasn't any movement to report
  if ((deltaX == 0.0f) && (deltaY == 0.0f)) {
    return ;
  }

  // set the camera's orientation
  cam.yaw(deltaX);
  cam.pitch(deltaY);

  // reset the mouse pointer back to the origin point
  glutWarpPointer(halfWidth, halfHeight);
}

You can see that I’m using GLUT to do these demos. The only GLUT-specific piece of code here is the warp command which puts the mouse back onto the origin point. You should have an equivalent function to do the same in the framework of your choice.

Well, there you have it. You can now orient your camera using your mouse.

A Camera Implementation in C++

Introduction

One of the most important elements of any 3D application is its camera. A camera allows you to move around in your world and orient your view. In today’s post, I’ll put together a code walk through that will take you through a simple camera implementation.

The Concept

There are two major components of any camera. They are position and orientation. Position is fairly easy to grasp, it’s just where the camera is and is identified using a normal 3-space vector.

The more difficult of the two concepts is orientation. The best description for this that I’ve found is on the Flight Dynamics page on wikipedia. The following image has been taken from that article and it outlines the plains that orientation can occur. Of course, the image’s subject is an aircraft but the same concepts apply to a camera’s orientation:

Roll pitch yaw

The pitch describes the orientation around the x-axis, the yaw describes the orientation around the y-axis and the roll describes the orientation around the z-axis.

With all of this information on board, the requirements of our camera should become a little clearer. We need to keep track of the following about the camera:

  • Position
  • Up orientation (yaw axis)
  • Right direction (pitch axis)
  • Forward (or view) direction (roll axis)

We’ll also keep track of how far we’ve gone around the yaw, pitch and roll axis.

Some Maths (and code)

There’s a handful of really useful equations that are going to help us out here. With all of the information that we’ll be managing and how tightly related each axis is considering they’re all relating to the same object - you can see how interactive it can be just by modifying one attribute.

When the pitch changes:

forwardVector = (forwardVector * cos(pitch)) + (upVector * sin(pitch))
upVector      = forwardVector x rightVector
void camera::pitch(const float angle) {
  // keep track of how far we've gone around the axis
  this->rotatedX += angle;

  // calculate the new forward vector
  this->viewDir = glm::normalize(
    this->viewDir * cosf(angle * PION180) +
    this->upVector * sinf(angle * PION180)
  );

  // calculate the new up vector
  this->upVector  = glm::cross(this->viewDir, this->rightVector);
  // invert so that positive goes down
  this->upVector *= -1;
}

When the yaw changes:

forwardVector = (forwardVector * cos(yaw)) - (rightVector * sin(yaw))
rightVector   = forwardVector x upVector
void camera::yaw(const float angle) {
  // keep track of how far we've gone around this axis
  this->rotatedY += angle;

  // re-calculate the new forward vector
  this->viewDir = glm::normalize(
    this->viewDir * cosf(angle * PION180) -
    this->rightVector * sinf(angle * PION180)
  );

  // re-calculate the new right vector
  this->rightVector = glm::cross(this->viewDir, this->upVector);
}

When the roll changes:

rightVector = (rightVector * cos(roll)) + (upVector * sin(roll))
upVector    = forwardVector x rightVector
void camera::roll(const float angle) {
  // keep track of how far we've gone around this axis
  this->rotatedZ += angle;

  // re-calculate the forward vector
  this->rightVector = glm::normalize(
    this->rightVector * cosf(angle * PION180) +
    this->upVector * sinf(angle * PION180)
  );

  // re-calculate the up vector
  this->upVector  = glm::cross(this->viewDir, this->rightVector);
  // invert the up vector so positive points down
  this->upVector *= -1;
}

Ok, so that’s it for orientation. Reading through the equations above, you can see that the calculation of the forward vector comes out of some standard rotations. The x operator that I’ve used above denotes vector cross product.

Now that we’re keeping track of our current viewing direction, up direction and right direction; performing camera movements is really easy.

I’ve called these advance (move along the forward plane), ascend (move along the up plane) and strafe (move along the right plane).

// z movement
void camera::advance(const float distance) {
  this->position += (this->viewDir * -distance);
}

// y movement
void camera::ascend(const float distance) {
  this->position += (this->upVector * distance);
}

// x movement
void camera::strafe(const float distance) {
  this->position += (this->rightVector * distance);
}

All we are doing here is just moving along those planes that have been defined for us via orientation. Movement is simple.

Integrating

All of this code/math is great up until we need to apply it in our environments. Most of the work that I do centralises around OpenGL, so I’ve got a very handy utility function (from GLU) that I use called gluLookAt. Plugging these values in is rather simple:

void camera::place(void) {
  glm::vec3 viewPoint = this->position + this->viewDir;

   // setup opengl with gluLookAt
  gluLookAt(
    position[0], position[1], position[2],
    viewPoint[0], viewPoint[1], viewPoint[2],
    upVector[0], upVector[1], upVector[2]
  );
}

We calculate our viewpoint as (position - forwardVector) and really just plug the literal values into this function. There is a lot of information on the gluLookAt documentation page that you can use if OpenGL isn’t your flavor to simulate what it does.

That’s it for a simple camera!