/**
* @brief Where your program starts running.
* @param argc How many 'tokens' were typed when you ran the program
* @param argv A collection of all the tokens that were typed
* @sideeffect The program is the side effect! CS language is weird...
* @return This returns 0, unless it crashes or something weird happens.
*
* This program has three stages.
*
* In the first stage, it figures out the first eight Fibonacci numbers, starting with 1,1,....
*
* In the second stage, it figures out the nine Ulam numbers after 5 (which ends up getting redundant after a while...)
*
* In the third stage, it counts out the six integers after 1.
*
* In the fourth and last stage, it finds the averages of a few trios of numbers.
*/
int main(int argc, char* argv[])
{
int shaggy_dog;
int scratchpad2;
printf("Integers...\n");
nextInteger(1);
nextInteger(2);
nextInteger(3);
nextInteger(4);
nextInteger(5);
nextInteger(6);
printf("\n\n");
printf("Averages...\n");
//TASK 4: PUT averageOfThree FUNCTION CALLS HERE
printf("\n\n");
printf("Squares...\n");
shaggy_dog=0;
squareOf( shaggy_dog=nextInteger(shaggy_dog) );
squareOf(shaggy_dog=nextInteger(shaggy_dog));
squareOf(shaggy_dog=nextInteger(shaggy_dog));
squareOf(shaggy_dog=nextInteger(shaggy_dog));
squareOf(shaggy_dog=nextInteger(shaggy_dog));
printf("\n\n");
printf("Fibonacci numbers...\n");
shaggy_dog=nextFibonacci(1,1);
scratchpad2=nextFibonacci(shaggy_dog,1);
shaggy_dog=nextFibonacci(shaggy_dog, scratchpad2);
scratchpad2=nextFibonacci(shaggy_dog, scratchpad2);
shaggy_dog=nextFibonacci(shaggy_dog, scratchpad2);
scratchpad2=nextFibonacci(shaggy_dog, scratchpad2);
shaggy_dog=nextFibonacci(shaggy_dog, scratchpad2);
scratchpad2=nextFibonacci(shaggy_dog, scratchpad2);
printf("\n\n");
printf("Ulam numbers...\n");
shaggy_dog=nextUlam(5);
scratchpad2=nextUlam(shaggy_dog);
scratchpad2=nextUlam(scratchpad2);
scratchpad2=nextUlam(scratchpad2);
scratchpad2=nextUlam(scratchpad2);
scratchpad2=nextUlam(scratchpad2);
scratchpad2=nextUlam(scratchpad2);
scratchpad2=nextUlam(scratchpad2);
scratchpad2=nextUlam(scratchpad2);
printf("\n\n");
return 0;
}
// ######################################################################
void BitObject::computeSecondMoments()
{
ASSERT(isValid());
int w = itsObjectMask.getWidth();
int h = itsObjectMask.getHeight();
// The bounding box is stored in image coordinates, and so is the centroid. For
// computing the second moments, however we need the centroid in object coords.
float cenX = itsCentroidXY.x() - itsBoundingBox.left();
float cenY = itsCentroidXY.y() - itsBoundingBox.top();
// compute the second moments
std::vector<float> diffX(w), diffX2(w), diffY(h), diffY2(h);
for (int y = 0; y < h; ++y)
{
diffY[y] = y - cenY;
diffY2[y] = diffY[y] * diffY[y];
}
for (int x = 0; x < w; ++x)
{
diffX[x] = x - cenX;
diffX2[x] = diffX[x] * diffX[x];
}
Image<byte>::const_iterator optr = itsObjectMask.begin();
for (int y = 0; y < h; ++y)
for(int x = 0; x < w; ++x)
{
if (*optr != 0)
{
itsUxx += diffX2[x];
itsUyy += diffY2[y];
itsUxy += (diffX[x] * diffY[y]);
}
++optr;
}
itsUxx /= itsArea;
itsUyy /= itsArea;
itsUxy /= itsArea;
// compute the parameters d, e and f for the ellipse:
// d*x^2 + 2*e*x*y + f*y^2 <= 1
float coeff = 0.F;
if((itsUxx * itsUyy - itsUxy * itsUxy) > 0)
coeff = 1 / (4 * (itsUxx * itsUyy - itsUxy * itsUxy));
float d = coeff * itsUyy;
float e = -coeff * itsUxy;
float f = coeff * itsUxx;
// from these guys, compute the parameters d and f for the
// ellipse when it is rotated so that x is the main axis
// and figure out the angle of rotation for this.
float expr = sqrt(4*e*e + squareOf(d - f));
float d2 = 0.5 * (d + f + expr);
float f2 = 0.5 * (d + f - expr);
// the angle is defined in clockwise (image) coordinates:
// -- is 0
// \ is 45
// | is 90
// / is 135
if( d != f) itsOriAngle = 90 * atan(2 * e / (d - f)) / M_PI;
else itsOriAngle = 0.F;
if (itsUyy > itsUxx) itsOriAngle += 90.0F;
if (itsOriAngle < 0.0F) itsOriAngle += 180.0F;
// this checks if itsOriAngle is nan
if (itsOriAngle != itsOriAngle) itsOriAngle = 0.0F;
// now get the length of the major and the minor axes:
if(f2) itsMajorAxis = 2 / sqrt(f2);
if(d2) itsMinorAxis = 2 / sqrt(d2);
if(itsMinorAxis) itsElongation = itsMajorAxis / itsMinorAxis;
else itsElongation = 0.F;
// We're done
haveSecondMoments = true;
return;
}