[分享]绝对随机网点分布（excel之vba） [复制链接]

想学习的请研究下，直接给程序就没意思了，由于公司想做一套导光板的模具，没有现成的软件可用，就自己做了较简单的程序，虽然简单，但基本功能已经满足了导光板网点设计的要求；具备功能：任意多边形区域；含有光轴，且可以根据光源调整；网点密度可沿光轴方向调整，效果图如下： @_:Jm tH<  
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图片:2.jpg

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关键点说几个： C{5^UCJkg  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） ~"IjT'W3  
2.需要定义光轴的方向；简便的方法就是指定光源坐标，及网点区域坐标，这样光轴就确定了 <D1>;C  
3.网点区域密度可调；把区域分成若干小块，每块的密度不同即可 _7^4sR8=  

以下是几个重要的函数： <gtqwH]   
1.判断点在区域中函数 s .xJ},E9  
2.计算夹角函数 L FncY(b  
3.转置函数 X (0`"rjg  
4.得到区域中心点，及区域半径函数 ;FI"N@z  
5.再有就是若干个点抽取其中一部分；或者采用随机分布（该方法会有重合点，所以没采用） >&`S$1 o  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 Cxt_QyL?  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single fzhCV  
   cax = x2 - x1 qa!3lb_'M  
   cay = y2 - y1 "j<l=l!  
   cbx = x2 - x3 $v
#\bqY  
   cby = y2 - y3 ":G\  
   mo_jj = cax * cbx + cay * cby )j^~=Sio.  
   mo_ca = Sqr(cax * cax + cay * cay) ar#Xe;T!  
   mo_cb = Sqr(cbx * cbx + cby * cby) Alh"ZT^*  
   cos_acb = mo_jj / (mo_ca * mo_cb) ! ,*4d $  
   'ff_cos = cos_acb Q^_*&},V  
   If cos_acb >= 1 Then jI
OrB}  
   nn = 0 3<L>BakD  
   ElseIf cos_acb <= -1 Then Y#A0ud,  
   nn = 3.14159265258979 i`F8kg`_K  
   Else "PI]k  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) V7pe|]%r  
   End If Fhr5)Z  
   'ff_angle = nn <$8`]e?I  
   ff_angle = nn * 180 / 3.14159265258979
=HGC<#  
End Function

'判断点在区域内函数 j-% vLL/  
Function point_in(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single, ppx As Single, ppy As Single) As Boolean X:ck  
Dim aob, boc, cod, doa, sum As Single &YU; K&  
  If ppx = p1x And ppy = p1y Then |IL/F]I  
     point_in = True )nI}KQJ<  
     Exit Function 42{\u08Z  
  End If +li<y`aw0  
  If ppx = p2x And ppy = p2y Then n&4 4Acs[  
     point_in = True ^V1iOf:  
     Exit Function i 1{Lx)  
  End If &:3uK`  
   If ppx = p3x And ppy = p3y Then )e1&[0  
     point_in = True tE~OWjL  
     Exit Function W'B=H1  
  End If p#yq'kY  
     sFvu@Wm'7W  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) PU"C('AP  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) R;6$lO8C&  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) 5Q9nJC{'NN  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) KTQy pv  
    sum = aob + boc + cod + doa 8H%-/2NW  
    If 360.01 > sum And sum > 359.99 Then h !yu. v  
       point_in = True D;@nrj`.  
    Else 42Qfv%*c  
       point_in = False Pa8E.<>  
    End If l[_y|W5  
End Function

'得到点半径,得到交点坐标函数 h W<fu  
Function rr(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single) As Single() YM:;mX5B  
    '求得中心点坐标 vjzpU(Sq#  
Dim tt As String G~ldU: ?  
Dim rt(3) As Single 0# )I:5  
    '判断是否平行 S~ff<A>f  
   acx = p3x - p1x &$,%6X"  
   acy = p3y - p1y ?bq S{KF  
   bdx = p4x - p2x &{x%"Aq/  
   bdy = p4y - p2y m,u5S=3A{!  
   If acx * bdy = acy * bdx Then 5Dhpcgq<<  
      rt(0) = 0 6rx%>\UkS  
      Exit Function m$bX;F}T  
   Else "RkbT O  
      '判断斜率存在否 <#[_S$
54  
      If p1x = p3x And p2x <> p4x Then #
lf3$Tm D  
         tt = "ac_n_bd_y" {DI
`HB[  
      ElseIf p1x <> p3x And p2x = p4x Then  L$Uy  
         tt = "ac_y_bd_n" &V$qIvN$  
      ElseIf p1x <> p3x And p2x <> p4x Then _4#8o\  
         tt = "ac_y_bd_y" {x-iBg9#l2  
      End If sy ]k  
    Select Case tt Q?Y\WD  
         Case "ac_n_bd_y" gG 9e.++:  
            'bd线段方程 o:p6[SGd  
            k_bd = bdy / bdx nO^m  
            b_bd = p2y - k_bd * p2x w;=fi}<G|e  
            p_x = p1x iq25|{1$  
            p_y = k_bd * p_x + b_bd 8Moe8X#3  
         Case "ac_y_bd_n" h6yXW!8  
            'ac线段方程 TIs~?wb$  
            k_ac = acy / acx o|tq&&! <  
            b_ac = p1y - k_ac * p1x j[^(<R8  
            p_x = p2x D.Q9fa&P  
            p_y = k_ac * p_x + b_ac Rr9K1io$)  
        Case "ac_y_bd_y" s!vvAD;\  
           'ac，bd线段都要求 ]ZkR~?  
           k_ac = acy / acx Ew&pwsQ  
           b_ac = p1y - k_ac * p1x x344}\  
           k_bd = bdy / bdx .tg2HKD_lW  
           b_bd = p2y - k_bd * p2x W-
pN  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) \~LwlOo%R  
           p_y = k_ac * p_x + b_ac {.D^2mj|  
        End Select n]15 ~GO.  
      rt(1) = p_x _
RTJEG  
      rt(2) = p_y oCCTRLb02  
     g
!#M0  
'计算最大半径 CQ4MQ<BJ.  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) (}1:]D{)@V  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) ]uikE2nn  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) }!&Vcf  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) )&nfV5@"  
Dim bb(5) As Single k\ 2.\Lwb  
  bb(1) = rr1 p4Wy2.&Q  
  bb(2) = rr2 ~36)3W[4  
  bb(3) = rr3 RS8tE(  
  bb(4) = rr4 a/k0(  
  nb = rr1 <]SI-  
For i = 1 To 4 $X>$)U'p&-  
    If nb <= bb(i) Then zZhAH('fG  
       nb = bb(i) Ib~n}SA  
    End If 5t,W'a_  
Next i A;06Zrf1  
    rt(0) = Sqr(nb) (i 3=XfZ!C  
    rr = rt() &=KNKE`  
  End If -msfiO  
         prdlV)LTpY  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  jW!x!8=  

5TB==Fj ?  
有热压工艺方面的人才或者资料分享下； (v2.8zrJ  
我公司主要做透镜类产品，现在有客户要审核我公司的导光膜工艺，头疼 pAY[XN  

高手真多！

楼主威武霸气.