图形的基本对称

1.关于任意平行于x轴直线图像的对称
2.关于任意平行于y轴直线图像的对称
3.关于任意点的对称
4.关于直线y=x对称
5.关于直线y=-x对称
编译器：vs2013
  1 // x对称.cpp : 定义控制台应用程序的入口点。
  2 //
  3 
  4 #include "stdafx.h"
  5 #include<stdio.h>
  6 #include"graphics.h"
  7 #include<stdlib.h>
  8 
  9 //函数声明
 10 void SymmetricalY(int a[], int y);//关于x的直线对称
 11 void SymmetricalX(int a[], int x);//关于y的直线对称
 12 void Symmetricalxy(int a[], int x, int y);//关于随机点对称
 13 void Symmetricaly_x(int a[]);//关于y=x对称
 14 void Symmetricaly__x(int a[]);    //关于y=-x对称
 15 
 16 int main()
 17 {
 18     int gdriver = DETECT, gmove;
 19     int a[28] = { 100, 100, 150, 150, 250, 150, 250, 0, 350, 150, 450, 150, 500, 200, 450, 250, 350, 250, 250, 400, 250, 250, 150, 250, 100, 300, 100, 100 };
 20 
 21     //关于x的直线对称
 22     /*int x;
 23     
 24     printf("please input the line x= ");
 25     scanf_s("%d", &x);
 26 
 27     initgraph(&gdriver, &gmove, "");
 28 
 29     drawpoly(14, a);
 30 
 31     SymmetricalX(a, x);*/
 32 
 33     //关于y的直线对称
 34     /*int y;
 35 
 36     printf("please input the line y= ");
 37     scanf_s("%d", &y);
 38 
 39     initgraph(&gdriver, &gmove, "");
 40 
 41     drawpoly(14, a);
 42 
 43     SymmetricalY(a, y);*/
 44 
 45     //关于随机点对称
 46     /*int x, y;
 47 
 48     printf("please inout the point:
");
 49     scanf_s("%d%d", &x, &y);
 50 
 51     initgraph(&gdriver, &gmove, "");
 52 
 53     drawpoly(14, a);
 54     Symmetricalxy(a,  x,  y);*/
 55 
 56     //关于y=x对称
 57     /*initgraph(&gdriver, &gmove, "");
 58     drawpoly(14, a);
 59     Symmetricaly_x(a);*/
 60 
 61     //关于y=-x对称
 62     initgraph(&gdriver, &gmove, "");
 63     drawpoly(14, a);
 64     Symmetricaly__x(a);
 65 
 66     system("pause");
 67 
 68     closegraph();
 69 
 70     return 0;
 71 }
 72 
 73 //绕任意x直线对称
 74 void SymmetricalX(int a[], int x)
 75 {
 76     int i,b[28];
 77 
 78     for (i = 0; i < 28; i = i + 2)
 79     {
 80         b[i] = 2 * x - a[i];
 81         b[i + 1] = a[i + 1];
 82     }
 83 
 84     drawpoly(14,b);
 85 }
 86 
 87 //绕任意y直线对称
 88 void SymmetricalY(int a[], int y)
 89 {
 90     int i, b[28];
 91 
 92     for (i = 0; i < 28; i = i + 2)
 93     {
 94         b[i+1] = 2 * y - a[i+1];
 95         b[i] = a[i];
 96     }
 97 
 98     drawpoly(14, b);
 99 }
100 
101 //关于某一点对称
102 void Symmetricalxy(int a[], int x, int y)
103 {
104     int i, b[28];
105 
106     for (i = 0; i < 28; i = i + 2)
107     {
108         //平移至原点
109         b[i] = a[i] - x;
110         b[i + 1] = a[i + 1] - y;
111         //原点的对称变换
112         b[i] = -b[i];
113         b[i + 1] = -b[i+1];
114         //平移回去
115         b[i] = b[i] + x;
116         b[i + 1] = b[i + 1] + y;
117     }
118 
119     drawpoly(14, b);
120 }
121 
122 //关于y=x对称
123 void Symmetricaly_x(int a[])
124 {
125     int i, b[28];
126 
127     for (i = 0; i < 28; i = i + 2)
128     {
129         //交换xy的坐标值
130         b[i + 1] = a[i];
131         b[i] = a[i + 1];
132     }
133 
134     drawpoly(14, b);
135 }
136 
137 //关于y=-x对称
138 void Symmetricaly__x(int a[])
139 {
140     int i, b[28];
141 
142     for (i = 0; i < 28; i = i + 2)
143     {
144         //交换负xy的坐标值
145         b[i + 1] = -a[i];
146         b[i] = -a[i + 1];
147     }
148 
149     drawpoly(14, b);
150 }