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// Geometric Tools, LLC
// Copyright (c) 1998-2014
// Distributed under the Boost Software License, Version 1.0.
// http://www.boost.org/LICENSE_1_0.txt
// http://www.geometrictools.com/License/Boost/LICENSE_1_0.txt
//
// File Version: 5.0.0 (2010/01/01)
#include "Boolean2D.h"
WM5_WINDOW_APPLICATION(Boolean2D);
//----------------------------------------------------------------------------
Boolean2D::Boolean2D ()
:
WindowApplication2("SampleMathematics/Boolean2D", 0, 0, 256, 256,
Float4(1.0f, 1.0f, 1.0f, 1.0f))
{
mActive = 0;
mPoly0 = 0;
mPoly1 = 0;
mSize = GetWidth();
}
//----------------------------------------------------------------------------
bool Boolean2D::OnInitialize ()
{
if (!WindowApplication2::OnInitialize())
{
return false;
}
mChoice = 0;
mPoly0 = ConstructInvertedEll();
mPoly1 = ConstructPentagon();
DoBoolean();
OnDisplay();
return true;
}
//----------------------------------------------------------------------------
void Boolean2D::OnTerminate ()
{
delete0(mPoly0);
delete0(mPoly1);
WindowApplication2::OnTerminate();
}
//----------------------------------------------------------------------------
void Boolean2D::OnDisplay ()
{
ClearScreen();
DrawPolySolid(*mPoly0, ColorRGB(255, 0, 0));
DrawPolySolid(*mPoly1, ColorRGB(0, 255, 0));
if (mActive)
{
DrawPolySolid(*mActive, ColorRGB(0, 0, 255));
}
WindowApplication2::OnDisplay();
}
//----------------------------------------------------------------------------
bool Boolean2D::OnKeyDown (unsigned char key, int x, int y)
{
if (WindowApplication2::OnKeyDown(key, x, y))
{
return true;
}
switch (key)
{
case 'n':
case 'N':
delete0(mPoly0);
delete0(mPoly1);
mActive = 0;
mChoice = (mChoice + 1) % 3;
switch (mChoice)
{
case 0:
mPoly0 = ConstructInvertedEll();
mPoly1 = ConstructPentagon();
break;
case 1:
mPoly0 = ConstructSquare();
mPoly1 = ConstructSShape();
break;
case 2:
mPoly0 = ConstructPolyWithHoles();
mPoly1 = ConstructPentagon();
break;
}
DoBoolean();
break;
case 'p':
case 'P':
mActive = 0;
break;
case 'u':
case 'U':
mActive = &mUnion;
break;
case 'i':
case 'I':
mActive = &mIntersection;
break;
case 'd':
case 'D':
mActive = &mDiff01;
break;
case 'e':
case 'E':
mActive = &mDiff10;
break;
case 'x':
case 'X':
mActive = &mXor;
break;
}
OnDisplay();
return true;
}
//----------------------------------------------------------------------------
BspPolygon2* Boolean2D::ConstructInvertedEll ()
{
double w = (double)GetWidth();
double d1d8 = 0.125*w;
double d2d8 = 0.250*w;
double d3d8 = 0.375*w;
double d5d8 = 0.625*w;
double d6d8 = 0.750*w;
double d7d8 = 0.875*w;
const int numVertices = 10;
Vector2d vertices[numVertices] =
{
Vector2d(d1d8, d1d8),
Vector2d(d3d8, d1d8),
Vector2d(d3d8, d3d8),
Vector2d(d2d8, d3d8),
Vector2d(d2d8, d6d8),
Vector2d(d5d8, d6d8),
Vector2d(d5d8, d5d8),
Vector2d(d7d8, d5d8),
Vector2d(d7d8, d7d8),
Vector2d(d1d8, d7d8)
};
BspPolygon2* poly = new0 BspPolygon2();
for (int i0 = numVertices - 1, i1 = 0; i1 < numVertices; i0 = i1++)
{
poly->InsertVertex(vertices[i1]);
poly->InsertEdge(Edge2(i0, i1));
}
poly->Finalize();
return poly;
}
//----------------------------------------------------------------------------
BspPolygon2* Boolean2D::ConstructPentagon ()
{
const int numVertices = 5;
double primitiveAngle = Mathd::TWO_PI/numVertices;
double radius = 0.35*GetWidth();
double cx = 0.5*GetWidth(), cy = 0.5*GetWidth();
Vector2d vertices[numVertices];
for (int i = 0; i < numVertices; ++i)
{
double angle = i*primitiveAngle;
vertices[i].X() = cx + radius*Mathd::Cos(angle);
vertices[i].Y() = cy + radius*Mathd::Sin(angle);
}
BspPolygon2* poly = new0 BspPolygon2();
for (int i0 = numVertices - 1, i1 = 0; i1 < numVertices; i0 = i1++)
{
poly->InsertVertex(vertices[i1]);
poly->InsertEdge(Edge2(i0, i1));
}
poly->Finalize();
return poly;
}
//----------------------------------------------------------------------------
BspPolygon2* Boolean2D::ConstructSquare ()
{
double w = (double)GetWidth();
double d2d8 = 0.250*w;
double d6d8 = 0.750*w;
const int numVertices = 4;
Vector2d vertices[numVertices] =
{
Vector2d(d2d8, d2d8),
Vector2d(d6d8, d2d8),
Vector2d(d6d8, d6d8),
Vector2d(d2d8, d6d8)
};
BspPolygon2* poly = new0 BspPolygon2();
for (int i0 = numVertices - 1, i1 = 0; i1 < numVertices; i0 = i1++)
{
poly->InsertVertex(vertices[i1]);
poly->InsertEdge(Edge2(i0, i1));
}
poly->Finalize();
return poly;
}
//----------------------------------------------------------------------------
BspPolygon2* Boolean2D::ConstructSShape ()
{
double w = (double)GetWidth();
double d10d32 = 10.0*w/32.0;
double d12d32 = 12.0*w/32.0;
double d13d32 = 13.0*w/32.0;
double d16d32 = 16.0*w/32.0;
double d19d32 = 19.0*w/32.0;
double d20d32 = 20.0*w/32.0;
double d22d32 = 22.0*w/32.0;
double d24d32 = 24.0*w/32.0;
double d26d32 = 26.0*w/32.0;
double d28d32 = 28.0*w/32.0;
const int numVertices = 12;
Vector2d vertices[numVertices] =
{
Vector2d(d24d32, d10d32),
Vector2d(d28d32, d10d32),
Vector2d(d28d32, d16d32),
Vector2d(d22d32, d16d32),
Vector2d(d22d32, d19d32),
Vector2d(d24d32, d19d32),
Vector2d(d24d32, d22d32),
Vector2d(d20d32, d22d32),
Vector2d(d20d32, d13d32),
Vector2d(d26d32, d13d32),
Vector2d(d26d32, d12d32),
Vector2d(d24d32, d12d32)
};
BspPolygon2* poly = new0 BspPolygon2();
for (int i0 = numVertices - 1, i1 = 0; i1 < numVertices; i0 = i1++)
{
poly->InsertVertex(vertices[i1]);
poly->InsertEdge(Edge2(i0, i1));
}
poly->Finalize();
return poly;
}
//----------------------------------------------------------------------------
BspPolygon2* Boolean2D::ConstructPolyWithHoles ()
{
double w = (double)GetWidth();
double d2d16 = 2.0*w/16.0;
double d3d16 = 3.0*w/16.0;
double d4d16 = 4.0*w/16.0;
double d6d16 = 6.0*w/16.0;
double d14d16 = 14.0*w/16.0;
const int numVertices = 6;
Vector2d vertices[numVertices] =
{
// outer boundary
Vector2d(d2d16, d2d16),
Vector2d(d14d16, d2d16),
Vector2d(d2d16, d14d16),
// inner boundary
Vector2d(d4d16, d3d16),
Vector2d(d6d16, d6d16),
Vector2d(d6d16, d3d16)
};
BspPolygon2* poly = new0 BspPolygon2();
for (int i = 0; i < numVertices; ++i)
{
poly->InsertVertex(vertices[i]);
}
poly->InsertEdge(Edge2(0, 1));
poly->InsertEdge(Edge2(1, 2));
poly->InsertEdge(Edge2(2, 0));
poly->InsertEdge(Edge2(3, 4));
poly->InsertEdge(Edge2(4, 5));
poly->InsertEdge(Edge2(5, 3));
poly->Finalize();
return poly;
}
//----------------------------------------------------------------------------
void Boolean2D::DrawPolySolid (BspPolygon2& polygon, ColorRGB color)
{
Vector2d v0, v1;
Edge2 edge;
int i, x0, y0, x1, y1;
// Draw the edges.
for (i = 0; i < polygon.GetNumEdges(); ++i)
{
polygon.GetEdge(i, edge);
polygon.GetVertex(edge.I0, v0);
polygon.GetVertex(edge.I1, v1);
x0 = (int)(v0.X() + 0.5f);
y0 = GetWidth() - 1 - (int)(v0.Y() + 0.5f);
x1 = (int)(v1.X() + 0.5f);
y1 = GetWidth() - 1 - (int)(v1.Y() + 0.5f);
DrawLine(x0, y0, x1, y1, color);
}
// Draw the vertices.
ColorRGB black(0, 0, 0);
for (i = 0; i < polygon.GetNumVertices(); ++i)
{
polygon.GetVertex(i, v0);
x0 = (int)(v0.X() + 0.5f);
y0 = GetWidth() - 1 - (int)(v0.Y() + 0.5f);
SetThickPixel(x0, y0, 1, black);
}
}
//----------------------------------------------------------------------------
void Boolean2D::DoBoolean ()
{
BspPolygon2& P = *mPoly0;
BspPolygon2& Q = *mPoly1;
mIntersection = P & Q;
mUnion = P | Q;
mDiff01 = P - Q;
mDiff10 = Q - P;
mXor = P ^ Q;
}
//----------------------------------------------------------------------------
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