ACM计算几何模板大全几何多边形凸包三维圆_计算几何最小圆覆盖模板

计算几何

5星 · 超过95%的资源需积分: 17 196 浏览量更新于2023-03-16 评论 2 收藏 557KB DOC 举报

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计算几何
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1.1 注意............................................................................................................................2
1.2 几何公式....................................................................................................................2
1.3 多边形........................................................................................................................4
1.4 多边形切割.................................................................................................................8
1.5 浮点函数....................................................................................................................9
1.6 面积..........................................................................................................................15
1.7 球面..........................................................................................................................15
1.8 三角形......................................................................................................................19
1.9 三维几何..................................................................................................................22
1.10 凸包........................................................................................................................30
水平序
极角序
卷包裹法
1.11 网格........................................................................................................................34
1.12 圆............................................................................................................................34
1.13 矢量运算求几何模板.............................................................................................37
1.14 结构体表示几何图形..............................................................................................49
1.15 四城部分几何模板.................................................................................................54
1.16 一些代码................................................................................................................56
最小圆覆盖
直线旋转两凸包的最短距离
扇形的重心
根据经度纬度求球面距离
多边形的重心
存不存在一个平面把两堆点分开
判断多边形的核是否存在
二分圆的参数方程
矩形相交的面积
共线最多的点的个数
线段围成的区域可储水量
 公式
 点中三个点组成三角形面积最大
直线关于圆的反射
 个点最多组成多少个正方形
单位圆覆盖最多点 !"!#$
%& '(!  个点最多确定多少互不平行的直线


求凸多边形直径

矩形面积并，周长并

最小球覆盖

最大空凸包、最大空矩形

求圆和多边形的交

半平面交......................................................................................................................112

)!

*

1.计算几何

1.1 注意

注意舍入方式 的舍入方向+防止输出,

几何题注意多测试不对称数据

整数几何注意 -&# 和 "&# 是否会出界+

符点几何注意 $ 的使用

避免使用斜率+注意除数是否会为 

公式一定要化简后再代入

判断同一个 ./ 域内两角度差应该是

0$,10 #220$,3,0 #+

相等应该是

0$,1 $220$,3, $+

需要的话尽量使用 #!4注意5#!464

#!4674#!,46,74#!464#!4,6

$$"#622.282.$!

"#"#622.282.$

,-,结果的意义5

正5143在143顺时针4内

负5143在143逆时针4内

51434143共线4夹角为  或 

误差限缺省使用  ,9

1.2 几何公式

三角形5



半周长607

面积:6;760$!76$<#,,0,

中线=6$<#0**,*76$<#0**0$>7

角平分线?6$<#00*,*7060$>770

高线;60$!6$!@6$<#0*,*0*,*7*

内切圆半径6:76$!@7$!77$!@7

6A$!>7$!@7$!76$<#,,0,7

6#!>7#!@7#!7

外接圆半径A607:67$!>607$!@67$!

四边形5

B4B 为对角线4= 对角线中点连线4> 为对角线夹角

*0**"*6B*B*=*

:6BB$!>7

以下对圆的内接四边形

0"6BB

:6$<#,,0,,"4 为半周长

正 ! 边形5

A 为外接圆半径4 为内切圆半径

中心角>6/7!

内角6!,/7!

边长6$<#A*,*6A$!>76#!>7

面积:6!76!*#!>76!A*$!>76!*7#!>7

圆5

弧长6>

弦长6$<#,*6$!>7

弓形高6,$<#*,*76,$>76#!>77

扇形面积:676*>7

弓形面积:6,,76*>,$!>7

棱柱5

体积C6>4> 为底面积4 为高

侧面积:64 为棱长4 为直截面周长

全面积?6:>

棱锥5

体积C6>74> 为底面积4 为高

以下对正棱锥

侧面积:674 为斜高4 为底面周长

全面积?6:>

棱台5



D" E!  --3H-5,-1 $

D" E! $)!--3 $H5-1, $H5

$##!#I"0 -4J+K+

$##! I!#40+K+

"0 -&#!#4!#4!#I

 #!-,-.J,J,-,-.J,J+

77判定凸多边形4顶点按顺时针或逆时针给出4允许相邻边共线

!#$!8 -!#!4!#.I

!#4$LM6I44K+

'6+1!NN$LM2$LM+

$L$)!-&#LO!M4LO!M4LMM6+

 #!$LM2$LM+

77判定凸多边形4顶点按顺时针或逆时针给出4不允许相邻边共线

!#$!8 -8!#!4!#.I

!#4$LM6I44K+

'6+1!NN$LMNN$LM2$LM+

$L$)!-&#LO!M4LO!M4LMM6+

 #!$LMNN$LM2$LM+

77判点在凸多边形内或多边形边上4顶点按顺时针或逆时针给出

!#!$" !8 -!#<4!#!4!#.I

!#4$LM6I44K+

'6+1!NN$LM2$LM+

$L$)!-&#LO!M4<4LMM6+

 #!$LM2$LM+

77判点在凸多边形内4顶点按顺时针或逆时针给出4在多边形边上返回 

!#!$" !8 -8!#<4!#!4!#.I

!#4$LM6I44K+

'6+1!NN$LMNN$LM2$LM+

$L$)!-&#LO!M4<4LMM6+

 #!$LMNN$LM2$LM+

77判点在任意多边形内4顶点按顺时针或逆时针给出

77! ") 表示点在多边形边上时的返回值4G$ # 为多边形坐标上限

!#!$" J)!!#<4!#!4!#.4!#! ") 6I



剩余63页未读，继续阅读

Iam_skt

2013-04-30

非常不错的模板

crfdragon

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