static void drawCube(int row, int col, char ch, bool invert) {
drawAndFillRoundedRect(cubeX(col), cubeY(row),
gState.cubeSize, gState.cubeSize,
gState.cubeSize/5.0,
invert ? LETTER_COLOR : DIE_COLOR);
gwp->setColor(invert ? DIE_COLOR : LETTER_COLOR);
drawCenteredChar(cubeX(col) + gState.cubeSize/2.0,
cubeY(row) + gState.cubeSize/2.0, ch);
}
unsigned int Hexagon::orientationTo(Hexagon* hexagon)
{
int dx = hexagon->cubeX() - cubeX();
int dy = hexagon->cubeY() - cubeY();
switch(dx)
{
case 0: // 0 || 3
{
return dy == 1 ? 0 : 3;
}
case 1: // 1 || 2
{
return dy == 0 ? 1 : 2;
}
case -1: // 4 || 5
{
return dy == 0 ? 4 : 5;
}
}
return 0;
}
float AMBezier::solveForY(float x, float x1, float y1, float x2, float y2)
{
D3DXVECTOR2 point0, point1, point2, point3;
//equation is linear with slope=1 if x & y values match
if (x1 == y1 && x2 == y2)
return x;
//cannot estimate solution if invalid coordinates provided
//just return x value as if the equation was linear
if (x1 > 1 || y1 > 1 || x2 > 1 || y2 > 1 || x1 < 0 || y1 < 0 || x2 < 0 || y2 < 0)
return x;
//set up coordinates
point1.x = x1;
point1.y = y1;
point2.x = x2;
point2.y = y2;
//create point 0 & 3 based on MMD spec
point0 = D3DXVECTOR2(0, 0);
point3 = D3DXVECTOR2(1, 1);
//calculate the coefficients to use when solving the x cubic poly
//cx = 3(x1-x0)
float cx = 3.0f*(point1.x-point0.x);
//bx = 3(x2-x1) - cx
float bx = 3.0f*(point2.x-point1.x) - cx;
//ax = x3 - x0 - cx - bx
float ax = point3.x-point0.x-cx-bx;
//dx = -x
float dx = -x;
//estimate the time constant to use to solve for y using newton's method
float t = x; //guess the time constant at the provided x value
int i=0;
while (i <= MAX_ITERATION)
{
float n;
float ddx = cubeDerivX(t, ax, bx, cx);
if (ddx == 0)
n = 0;
else
n = t - (cubeX(t, ax, bx, cx, dx)/ddx);
//end if the solved value is within the tolerance
if (fabsf(n-t) < TOLERANCE)
break;
t = n;
i++;
}
//make sure the time constant is within the range 0.0-1.0
if (t > 1)
t = 1;
else if (t < 0)
t = -t;
//calculate the coefficients to use when solving the y cubic poly
//cy = 3(y1-y0)
float cy = 3.0f*(point1.y-point0.y);
//by = 3(y2-y2)-cy
float by = 3.0f*(point2.y-point1.y)-cy;
//ay = y3 - y0 - cy - by
float ay = point3.y - point0.y - cy - by;
//finally solve the curve for y at the estimated t
float y = ay*(t*t*t) + by*(t*t) + cy*t + point0.y;
//make sure the y is within the range 0.0-1.0
if (y > 1)
y = 1;
else if (y < 0)
y = 0;
return y;
}
HexagonGrid::HexagonGrid()
{
// Creating 200x200 hexagonal map
unsigned int index = 0;
for (unsigned int q = 0; q != 200; ++q)
{
for (unsigned int p = 0; p != 200; ++p, ++index)
{
auto hexagon = new Hexagon(index);
int x = 48*100 + 16*(q+1) - 24*p;
int y = (q+1)*12 + 6*p + 12;
if (p&1)
{
x -= 8;
y -= 6;
}
hexagon->setCubeX(q - (p + (p&1))/2);
hexagon->setCubeZ(p);
hexagon->setCubeY(-hexagon->cubeX() - hexagon->cubeZ());
hexagon->setX(x);
hexagon->setY(y);
_hexagons.push_back(hexagon);
}
}
// Creating links between hexagons
for (index = 0; index != 200*200; ++index)
{
auto hexagon = _hexagons.at(index);
unsigned int q = index/200; // hexagonal y
unsigned int p = index%200; // hexagonal x
unsigned index1 = (q + 1)*200 + p;
unsigned index4 = (q-1)*200 + p;
unsigned int index2, index3, index5, index6;
if (index&1)
{
index2 = q*200 + p-1;
index3 = (q-1)*200 + p-1;
index5 = (q-1)*200 + p+1;
index6 = q*200 + p+1;
}
else
{
index2 = (q+1)*200 + p-1;
index3 = q*200 + p-1;
index5 = q*200 + p+1;
index6 = (q+1)*200 + p+1;
}
if (index1 < _hexagons.size()) hexagon->neighbors()->push_back(_hexagons.at(index1));
if (index2 < _hexagons.size()) hexagon->neighbors()->push_back(_hexagons.at(index2));
if (index3 < _hexagons.size()) hexagon->neighbors()->push_back(_hexagons.at(index3));
if (index4 < _hexagons.size()) hexagon->neighbors()->push_back(_hexagons.at(index4));
if (index5 < _hexagons.size()) hexagon->neighbors()->push_back(_hexagons.at(index5));
if (index6 < _hexagons.size()) hexagon->neighbors()->push_back(_hexagons.at(index6));
}
}