利用c++和easyx库实现对一个凹五边形的Sutherland-Hodgeman多边形裁剪算法,请给出示例代码,请用中文回复
时间: 2024-03-08 15:45:40 浏览: 124
C++实现基于EASYX库扫描线算法
好的,以下是利用C++和easyx库实现Sutherland-Hodgeman多边形裁剪算法的示例代码:
```c++
#include <graphics.h>
#include <conio.h>
// 定义点结构体
struct Point
{
int x;
int y;
};
// 定义边界矩形
const int LEFT = 100;
const int TOP = 100;
const int RIGHT = 500;
const int BOTTOM = 400;
// 定义凹五边形的顶点数组
const int VERTEX_COUNT = 5;
Point vertices[VERTEX_COUNT] = {
{200, 200},
{250, 150},
{300, 200},
{300, 300},
{200, 300}
};
// 定义裁剪窗口边界点数组
const int CLIP_VERTEX_COUNT = 4;
Point clipVertices[CLIP_VERTEX_COUNT] = {
{LEFT, TOP},
{RIGHT, TOP},
{RIGHT, BOTTOM},
{LEFT, BOTTOM}
};
// 计算点p是否在边界矩形内
bool inside(Point p)
{
return p.x >= LEFT && p.x <= RIGHT && p.y >= TOP && p.y <= BOTTOM;
}
// 计算点p和点q的交点
Point intersection(Point p, Point q, int edge)
{
Point r;
int x1 = clipVertices[edge].x;
int y1 = clipVertices[edge].y;
int x2 = clipVertices[(edge + 1) % CLIP_VERTEX_COUNT].x;
int y2 = clipVertices[(edge + 1) % CLIP_VERTEX_COUNT].y;
if (q.x == p.x) // 垂直线段
{
r.x = q.x;
r.y = y1 + (y2 - y1) * (q.x - x1) / (x2 - x1);
}
else // 非垂直线段
{
float k = (float)(q.y - p.y) / (q.x - p.x);
float b = q.y - k * q.x;
r.y = k * x1 + b;
r.x = (r.y - b) / k;
}
return r;
}
// Sutherland-Hodgeman多边形裁剪算法
void clipPolygon()
{
Point output[VERTEX_COUNT];
int outputCount = VERTEX_COUNT;
for (int e = 0; e < CLIP_VERTEX_COUNT; e++) // 对于每条裁剪边界
{
Point input[VERTEX_COUNT];
int inputCount = outputCount;
for (int i = 0; i < inputCount; i++) // 对于每个多边形顶点
{
input[i] = output[i];
}
outputCount = 0;
Point s = input[inputCount - 1];
for (int i = 0; i < inputCount; i++)
{
Point p = input[i];
if (inside(p)) // Case 1: p在裁剪窗口内
{
if (!inside(s)) // Case 2: s在裁剪窗口外,计算交点
{
output[outputCount++] = intersection(s, p, e);
}
output[outputCount++] = p; // Case 3: s和p都在裁剪窗口内
}
else if (inside(s)) // Case 4: s在裁剪窗口内,p在裁剪窗口外,计算交点
{
output[outputCount++] = intersection(s, p, e);
}
s = p;
}
}
// 绘制裁剪后的多边形
setcolor(RED);
for (int i = 0; i < outputCount; i++)
{
int j = (i + 1) % outputCount;
line(output[i].x, output[i].y, output[j].x, output[j].y);
}
}
int main()
{
initgraph(640, 480);
// 绘制凹五边形
setcolor(BLUE);
for (int i = 0; i < VERTEX_COUNT; i++)
{
int j = (i + 1) % VERTEX_COUNT;
line(vertices[i].x, vertices[i].y, vertices[j].x, vertices[j].y);
}
// 绘制裁剪窗口
setcolor(GREEN);
for (int i = 0; i < CLIP_VERTEX_COUNT; i++)
{
int j = (i + 1) % CLIP_VERTEX_COUNT;
line(clipVertices[i].x, clipVertices[i].y, clipVertices[j].x, clipVertices[j].y);
}
// 裁剪多边形
clipPolygon();
getch();
closegraph();
return 0;
}
```
这段代码实现了对一个凹五边形的Sutherland-Hodgeman多边形裁剪算法,并使用了easyx库进行图形绘制。具体实现过程在代码注释中有详细解释。
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