[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： ;%lJD"yF  

(p'/p  

描述:请输入描述

图片:2.jpg

)E_!rR  

关键点说几个： 8Fyc#Xo8  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） 1j_aH#Fz:  
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 m3x!*9h  
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 t>fA!K%{  

以下是几个重要的函数： 6T5A31 Q  
1.判断点在区域中函数 pb$ An<
P  
2.计算夹角函数 D"1vw<Ak  
3.转置函数 m&;zLBA;  
4.得到区域中心点，及区域半径函数 `*.r'k2R  
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） VhJyWH%(  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 N23+1h  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single hA&j?{  
   cax = x2 - x1 ".Q!8j"@f  
   cay = y2 - y1 -X6\[I:+A  
   cbx = x2 - x3 d[qEP6B  
   cby = y2 - y3 UlLM<33_)  
   mo_jj = cax * cbx + cay * cby n8
y,{|  
   mo_ca = Sqr(cax * cax + cay * cay) %^)JaEUC  
   mo_cb = Sqr(cbx * cbx + cby * cby) J_((o  
   cos_acb = mo_jj / (mo_ca * mo_cb) !Barc,kA  
   'ff_cos = cos_acb ~L Bq5a  
   If cos_acb >= 1 Then {R6Zwjs  
   nn = 0 , L AJ  
   ElseIf cos_acb <= -1 Then bo?3E +B  
   nn = 3.14159265258979 c=U$$|qHV  
   Else (qq$y #$  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) Q'%5"&XFD  
   End If g}s-v?+  
   'ff_angle = nn d >wmg*J  
   ff_angle = nn * 180 / 3.14159265258979 bl!f5ROS(  
End Function

'判断点在区域内函数 E?c{02fu  
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 Kr}M>hF+|  
Dim aob, boc, cod, doa, sum As Single +8@`lDnr  
  If ppx = p1x And ppy = p1y Then 7AFS)_w  
     point_in = True %?9r
(&  
     Exit Function *Yk8Mj^_h  
  End If %JA&O  
  If ppx = p2x And ppy = p2y Then <:yq~?  
     point_in = True SpTORR8  
     Exit Function  F>oxnhp6  
  End If 4\eX=~C>:  
   If ppx = p3x And ppy = p3y Then nAba
=iW  
     point_in = True h9OL%n 7m'  
     Exit Function EX_sJc  
  End If _)Z7Le:f!  
     1&dsQ,VDl  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) QmkC~kK1.  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) |% YzGgp7  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) Ev|{~U  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) {uQ)p=  
    sum = aob + boc + cod + doa &#my #u^O;  
    If 360.01 > sum And sum > 359.99 Then 8KELN(o$ 7  
       point_in = True >^\>-U|  
    Else f[I'
j0H%  
       point_in = False { `|YX_HS  
    End If vaCdfO&  
End Function

'得到点半径,得到交点坐标函数 }GNH)-AG)$  
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() sluZ-,zE  
    '求得中心点坐标 J]^gF|  
Dim tt As String Nb9V/2c;V  
Dim rt(3) As Single o/[yA3^  
    '判断是否平行 Fh4w0u*Q  
   acx = p3x - p1x I%b:Z  
   acy = p3y - p1y _wJ#jJz2  
   bdx = p4x - p2x pz6- hi7  
   bdy = p4y - p2y ?UhAjtYIS  
   If acx * bdy = acy * bdx Then D}/.;]w<[&  
      rt(0) = 0 LOG*K;v3  
      Exit Function oYm{I ~"  
   Else V5@[7ncVf  
      '判断斜率存在否 e%0#"6}  
      If p1x = p3x And p2x <> p4x Then l )V43  
         tt = "ac_n_bd_y" nu%Nt"~[%  
      ElseIf p1x <> p3x And p2x = p4x Then wQuaB6E  
         tt = "ac_y_bd_n" #_L&  
      ElseIf p1x <> p3x And p2x <> p4x Then pC.4AkEO  
         tt = "ac_y_bd_y" E=~WQ13Q  
      End If jG ;(89QR/  
    Select Case tt N$a-i  
         Case "ac_n_bd_y" _,1kcDu  
            'bd线段方程 L , Fso./y  
            k_bd = bdy / bdx xdU pp~}+.  
            b_bd = p2y - k_bd * p2x U*U)l
$!  
            p_x = p1x )w?$~q  
            p_y = k_bd * p_x + b_bd |nZB/YZt  
         Case "ac_y_bd_n" v6Wf7)d/1  
            'ac线段方程 1xV1#'@[Jd  
            k_ac = acy / acx n.UM+2G  
            b_ac = p1y - k_ac * p1x k*6eZ7  
            p_x = p2x (s*Uz3sq  
            p_y = k_ac * p_x + b_ac Z5a@fWU  
        Case "ac_y_bd_y" A-!qO|E[-  
           'ac，bd线段都要求 4xn^`xf9  
           k_ac = acy / acx nln[V$   
           b_ac = p1y - k_ac * p1x 6}lEeMRW  
           k_bd = bdy / bdx ^M5uLm-_s  
           b_bd = p2y - k_bd * p2x )g^Ewzy^X  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) !e"m*S.(6{  
           p_y = k_ac * p_x + b_ac 'eY[?LJ]U  
        End Select zVLi  
      rt(1) = p_x DJjDKVO5t  
      rt(2) = p_y ouZ9oy(}a  
     VOOThdR  
'计算最大半径 +NMSvu_?  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) E004"E<E  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) V)jhyCL  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) buyz>ICP  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) J0bs$  
Dim bb(5) As Single 0DT2qM[,  
  bb(1) = rr1 emIbGkH  
  bb(2) = rr2 nW*Oo|p~=  
  bb(3) = rr3 _u5U> w  
  bb(4) = rr4
x)mC^  
  nb = rr1 X1D:{S[  
For i = 1 To 4 Fpwh.R:yV  
    If nb <= bb(i) Then .
L%@/(r  
       nb = bb(i) d/QM   
    End If $oj<yH<i  
Next i o[6"XJ  
    rt(0) = Sqr(nb) n}kz&,  
    rr = rt() :e vc  
  End If y^BM*CI  
         !qve1H4d2  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  lhU#/}Z  

X(9Ff=0.~  
有热压工艺方面的人才或者资料分享下； 6G],t)<A'-  
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 rOGJ%|%(  

高手真多！

楼主威武霸气.