nuiArc::nuiArc(float cX, float cY, float rX, float rY, float Theta1, float Theta2, float Phi)
{
// use -Theta1 and -Theta2 to reverse around the Y axis
float T1 = (float)(-(M_PI * Theta1)/180.0);
float T2 = (float)(-(M_PI * Theta2)/180.0);
nuiVector start(rX * cos(T1), rY * sin(T1), 0.0f) , stop(rX * cos(T2), rY * sin(T2), 0.0f);
nuiMatrix m;
m.SetRotation(Phi, 0.0f, 0.0f, 1.0f);
mXRadius = rX;
mYRadius = rY;
mStartVertex = nuiPoint(m * start);
mStopVertex = nuiPoint(m * stop);
mStartVertex.Elt[0] += cX;
mStartVertex.Elt[1] += cY;
mStopVertex.Elt[0] += cX;
mStopVertex.Elt[1] += cY;
float DT = Theta1 - Theta2;
mLargeArc = (DT > 180);
mSweep = (DT > 0);
mAngle = Phi;
}
void nuiOutliner::AddCap(const nuiPoint& rFirstPoint, const nuiPoint& rLastPoint, nuiPath& rPoints) const
{
switch (mLineCap)
{
case nuiLineCapBut:
// Nothing special to do
rPoints.AddVertexOptim(rFirstPoint);
rPoints.AddVertexOptim(rLastPoint);
break;
case nuiLineCapRound:
{
nuiArc arc(rFirstPoint, rLastPoint, mRealLineWidth, mRealLineWidth, 0, true, true);
arc.Tessellate(rPoints, 0.5f);
//rPoints.AddVertexOptim(rFirstPoint);
}
break;
case nuiLineCapSquare:
{
nuiVector vec = rLastPoint - rFirstPoint;
vec.Normalize();
float tmp = vec[0];
vec[0] = vec[1];
vec[1] = -tmp;
vec *= mLineWidth * 0.5f;
rPoints.AddVertexOptim(nuiPoint(rFirstPoint+vec));
rPoints.AddVertexOptim(nuiPoint(rLastPoint+vec));
}
break;
}
}
void nuiDrawContext::DrawLine(float x1, float y1, float x2, float y2)
{
if (x1 == x2 && y1 == y2)
{
DrawPoint(x1, y1);
}
else
{
nuiShape shp;
shp.LineTo(nuiPoint(x1, y1));
shp.LineTo(nuiPoint(x2, y2));
DrawShape(&shp, eStrokeShape);
}
}
void render_handler_nui::draw_line_strip(const void* coords, int vertex_count)
// Draw the line strip formed by the sequence of points.
{
// Set up current style.
m_current_styles[LINE_STYLE].apply();
nuiShape shp;
nuiContour* pContour = new nuiContour();
std::list<nuiPoint> lines;
for (uint i = 0; i < vertex_count; i++)
lines.push_back(nuiPoint(coords[i*2], coords[i*2+1]));
pContour->AddLines(lines);
shp.AddContour(pContour);
mpContext->PushMatrix();
apply_matrix(m_current_matrix);
if (mMasking)
{
mpContext->AddClipShape(shp);
}
else
{
mpContext->DrawShape(&shp, nuiShapeMode::eStrokeShape);
}
mpContext->PopMatrix();
/*
glMatrixMode(GL_MODELVIEW);
glPushMatrix();
apply_matrix(m_current_matrix);
// Send the line-strip to OpenGL
glEnableClientState(GL_VERTEX_ARRAY);
glVertexPointer(2, GL_SHORT, sizeof(Sint16) * 2, coords);
glDrawArrays(GL_LINE_STRIP, 0, vertex_count);
glDisableClientState(GL_VERTEX_ARRAY);
glPopMatrix();
*/
}
bool nuiArc::Tessellate(nuiPath& rVertices, float Quality) const
{
// I shamelessly stole this code from svgl
double x1, y1, x2, y2;
x1 = mStartVertex.Elt[0];
y1 = mStartVertex.Elt[1];
x2 = mStopVertex.Elt[0];
y2 = mStopVertex.Elt[1];
double angle = mAngle;
double xr, yr;
xr = mXRadius;
yr = mYRadius;
rVertices.AddVertexOptim(nuiPoint((float)x1, (float)y1));
if ((x1 == x2) && (y1 == y2) && !mLargeArc)
{
return true;
}
// be sure mXRadius or mYRadius are non-zero
if( mXRadius == 0 || mYRadius == 0)
{
rVertices.AddVertexOptim(nuiPoint((float)x2, (float)y2));
return true;
}
// make sure mXRadius and mYRadius are positive
if(xr < 0)
xr = -xr;
if(yr < 0)
yr = -yr;
const double cosa = cos(angle * M_PI / 180.0);
const double sina = sin(angle * M_PI / 180.0);
// compute the center (see svg.pdf)
const double xp1 = cosa * (x1 - x2) / 2.0 + sina * (y1 - y2) / 2.f;
const double yp1 = -sina * (x1 - x2) / 2.0 + cosa * (y1 - y2) / 2.f;
double rx2 = xr * xr, ry2 = yr * yr, xp12 = xp1 * xp1, yp12 = yp1 * yp1;
// make sure xr and yr are large enough
{
double tmp = xp12 / rx2 + yp12 / ry2;
if (tmp > 1)
{
rx2 *= tmp;
ry2 *= tmp;
tmp = sqrt(tmp);
xr *= tmp;
yr *= tmp;
}
}
double fact = ( rx2 * ry2 / (rx2 * yp12 + ry2 * xp12)) - 1;
if (fact < 0)
{
fact = 0;
}
fact = sqrt(fact);
if (mLargeArc == mSweep)
fact = -fact;
double xpc = xr * yp1 / yr;
double ypc = - yr * xp1 / xr;
xpc *= fact;
ypc *= fact;
double xc = xpc * cosa - ypc * sina + (x1 + x2) / 2.f;
double yc = xpc * sina + ypc * cosa + (y1 + y2) / 2.f;
// determine t1 and t2, limits given by (x1, y1) (x2, y2)
double t1;
double deltat;
// double t2;
{
double xv1 = (xp1 - xpc) / xr;
double yv1 = (yp1 - ypc) / yr;
double norm1 = xv1 * xv1 + yv1 * yv1;
double cosangle1 = xv1 / sqrt(norm1);
if (cosangle1 < -1.0f)
cosangle1 = -1.0f;
if (cosangle1 > 1.0f)
cosangle1 = 1.0f;
t1 = acos(cosangle1);
if (yv1 < 0)
t1 = -t1;
double xv2 = (-xp1 - xpc) / xr;
double yv2 = (-yp1 - ypc) / yr;
double norm2 = xv2 * xv2 + yv2 * yv2;
deltat = xv1 * xv2 + yv1 * yv2;
deltat = deltat / sqrt(norm1 * norm2);
if (deltat < -1.0)
deltat = -1.0;
if (deltat > 1.0)
deltat = 1.0;
deltat = acos(deltat);
if ( (xv1 * yv2 - yv1 * xv2) < 0)
deltat = -deltat;
if (!mSweep && (deltat > 0))
deltat -= 2.0 * M_PI;
if (mSweep && (deltat < 0))
deltat += 2.0 * M_PI;
}
// compute vertices
/*
fast incremental cos and sin generation
cos(a+dt) = cos(a) cos(dt) - sin(a) sin(dt);
sin(a+dt) = cos(a) sin(dt) + cos(dt) sin(a);
<=>
cos(a+2*dt) = cos(a + dt) cos(dt) - sin(a + dt) sin(dt)
sin(a+2*dt) = cos(a + dt) sin(dt) + cos(a + dt) sin(a)
*/
const int nb = ToBelow(M_PI * (xr + yr) * Quality);
const double dt = deltat / nb;
const double cosdt = cos(dt);
const double sindt = sin(dt);
double cost1_plus_ndt = cos(t1 + dt);
double sint1_plus_ndt = sin(t1 + dt);
for (int i = 0; i < nb; ++i)
{
/*
ellipsoid:
x(t) = xr.cos(t)
y(t) = yr.cos(t)
*/
double x = xr * cost1_plus_ndt;
double y = yr * sint1_plus_ndt;
{
// compute cos and sin
double tmp = cost1_plus_ndt * cosdt - sint1_plus_ndt * sindt;
sint1_plus_ndt = cost1_plus_ndt * sindt + sint1_plus_ndt * cosdt;
cost1_plus_ndt = tmp;
}
// rotate
// angle = -angle, I don't know why...
{
double tmp = x * cosa - y * sina;
y = x * sina + y * cosa;
x = tmp;
}
// translate
x += xc;
y += yc;
rVertices.AddVertexOptim(nuiPoint((float)x, (float)y));
}
return true;
}
void nuiOutliner::Tessellate(nuiPath& rPoints, const nuiPath& rVertices, uint offset, int count, float Quality) const
{
nuiPath Left;
nuiPath Right;
NGL_ASSERT(count);
const nuiPoint& rstart = rVertices[offset];
const nuiPoint& rstop = rVertices[offset + count - 1];
bool closed = rstart == rstop;
int segments = count;
if (!closed)
segments--;
int i;
// Create four outlined vertex per segment:
for (i = 0; i < segments; i++)
{
int p1 = i;
int p2 = (p1+1);
p1 += offset;
p2 += offset;
const nuiPoint& rPoint = rVertices[p1];
const nuiPoint& rNextPoint = rVertices[p2];
if (!(rPoint == rNextPoint))
{
nuiVector vec(rNextPoint - rPoint);
vec.Normalize();
vec *= mRealLineWidth;
float tmp = vec[0];
vec[0] = vec[1];
vec[1] = -tmp;
Left.AddVertexOptim(nuiPoint(rPoint + vec));
Left.AddVertexOptim(nuiPoint(rNextPoint + vec));
Right.AddVertexOptim(nuiPoint(rPoint - vec));
Right.AddVertexOptim(nuiPoint(rNextPoint - vec));
}
}
Right.Reverse();
if (!Left.GetCount() || !Right.GetCount()) // Case of a path where all points have the same coordinates
{
switch (mLineCap)
{
case nuiLineCapBut:
// The result is empty.
break;
case nuiLineCapRound:
{
const double CIRCLE_FACTOR = (1.0/3.5);
const double X = rstart[0];
const double Y = rstart[1];
uint count = ToAbove((double)(2.0 * M_PI * (double)mRealLineWidth * (double)CIRCLE_FACTOR));
float step = 2.0f * (float)M_PI / (float)count;
for (uint i = 0; i <= count; i++)
{
float angle = step * (float) i;
float x = (float)(X + sin(angle) * mRealLineWidth);
float y = (float)(Y + cos(angle) * mRealLineWidth);
rPoints.AddVertexOptim(nuiPoint(x, y, 0));
}
}
break;
case nuiLineCapSquare:
{
const float x = rstart[0];
const float y = rstart[1];
rPoints.AddVertexOptim(nuiPoint(x - mRealLineWidth, y - mRealLineWidth));
rPoints.AddVertexOptim(nuiPoint(x + mRealLineWidth, y - mRealLineWidth));
rPoints.AddVertexOptim(nuiPoint(x + mRealLineWidth, y + mRealLineWidth));
rPoints.AddVertexOptim(nuiPoint(x - mRealLineWidth, y + mRealLineWidth));
rPoints.AddVertexOptim(nuiPoint(x - mRealLineWidth, y - mRealLineWidth));
}
break;
}
}
else if (closed && Left.GetCount() >= 2 && Right.GetCount() >= 2) // Case of a closed path (make sure that is at least a segment).
{
// Left:
int ndx1 = 0;
int ndx2 = 0;
for (i = 0; i < segments-1; i++)
{
ndx1 = i * 2;
ndx2 = ndx1 + 2;
AddJoin(Left[ndx1], Left[ndx1+1], Left[ndx2], Left[ndx2+1], rPoints);
}
if (mLineJoin == nuiLineJoinBevel)
rPoints.AddVertexOptim(rPoints.Front());
else
rPoints.Back() = rPoints.Front();
rPoints.StopPath();
// Right:
for (i = 0; i < segments; i++)
{
ndx1 = i * 2;
ndx2 = ndx1 + 2;
AddJoin(Right[ndx1], Right[ndx1+1], Right[ndx2], Right[ndx2+1], rPoints);
}
rPoints.StopPath();
}
else
{
NGL_ASSERT(!Left.IsEmpty());
NGL_ASSERT(!Right.IsEmpty());
int cnt = segments - 1;
// Left:
rPoints.AddVertexOptim(Left.Front());
int ndx1 = 0;
int ndx2 = 0;
for (i = 0; i < cnt; i++)
{
ndx1 = i * 2;
ndx2 = ndx1 + 2;
AddJoin(Left[ndx1], Left[ndx1+1], Left[ndx2], Left[ndx2+1], rPoints);
}
AddCap(Left.Back(), Right.Front(), rPoints);
// Right:
for (i = 0; i < cnt; i++)
{
ndx1 = i * 2;
ndx2 = ndx1 + 2;
AddJoin(Right[ndx1], Right[ndx1+1], Right[ndx2], Right[ndx2+1], rPoints);
}
AddCap(Right.Back(), Left.Front(), rPoints);
rPoints.Front() = rPoints.Back();
rPoints.StopPath();
}
}
void nuiTessellator::InternalTessCombine(GLdouble coords[3], void *vertex_data[4], GLfloat weight[4], void **outData)
{
//printf("Combine %f %f\n", coords[0], coords[1]);
*outData = (void*)mTempPoints.AddVertex(nuiPoint((float)(coords[0]), (float)(coords[1]), (float)(coords[2])));
}
void nuiPath::StopPath()
{
AddVertex(nuiPoint(nuiPointTypeStop));
}
