[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： ,)%$Zxng  
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1&#qq*{  

关键点说几个： iTIYq0u|#R  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） ZYo?b"6A  
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 ]@A}
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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 $ n"*scyI  

以下是几个重要的函数： eI3ZV^_Ps  
1.判断点在区域中函数 o9]i {e>L  
2.计算夹角函数 EaKbG>  
3.转置函数 "X,*VQl:  
4.得到区域中心点，及区域半径函数 B!1Bg9D  
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） _bn "c@s  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 qPoN 8>.  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single D`R~d;U~  
   cax = x2 - x1 xO&qo8*  
   cay = y2 - y1 .,F`*JVFq  
   cbx = x2 - x3 2{<o1x,Ym  
   cby = y2 - y3 (\UpJlW  
   mo_jj = cax * cbx + cay * cby -car>hQq  
   mo_ca = Sqr(cax * cax + cay * cay) ?azcWf z0  
   mo_cb = Sqr(cbx * cbx + cby * cby) B *%ey?  
   cos_acb = mo_jj / (mo_ca * mo_cb)
c8LMvL  
   'ff_cos = cos_acb <b:xyHS  
   If cos_acb >= 1 Then OJiw
I)a9  
   nn = 0 QJ+Ml  
   ElseIf cos_acb <= -1 Then mgMa)yc!dp  
   nn = 3.14159265258979 ksf6O$  
   Else `j8pgnY>5~  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) Ey=ymf.}  
   End If IG&twJR  
   'ff_angle = nn Xo$SQ0K  
   ff_angle = nn * 180 / 3.14159265258979 )H(i)$I  
End Function

'判断点在区域内函数 Y#QXvo%  
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 C1>zwU_zo  
Dim aob, boc, cod, doa, sum As Single Q5lt[2Zyzd  
  If ppx = p1x And ppy = p1y Then 3CH>!QOA  
     point_in = True OG9 '[o`8  
     Exit Function U\(71=  
  End If j WSgO(y  
  If ppx = p2x And ppy = p2y Then w'E(9gV  
     point_in = True >#)%/Ti}DU  
     Exit Function %o5'M^U  
  End If }2Tq[rl~s  
   If ppx = p3x And ppy = p3y Then 8L+A&^qx  
     point_in = True H+Aidsn  
     Exit Function 1tLEKSo+  
  End If bB>.dC  
     +#\7 #Y  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) )|_L?q#w!'  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) 'iTY?  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) zdw* ?C  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) JfY(};&  
    sum = aob + boc + cod + doa Ii&p v  
    If 360.01 > sum And sum > 359.99 Then ik#Wlz`4  
       point_in = True ,,!P-kK$  
    Else xZ6x`BET-  
       point_in = False ~sZ$`t
 
    End If wqi0%Cu*  
End Function

'得到点半径,得到交点坐标函数 \7%#4@;?  
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() )P>/g*  
    '求得中心点坐标 iPkCuLQ}  
Dim tt As String 9K#3JyW*  
Dim rt(3) As Single -cijLlz%+  
    '判断是否平行 e#,(a  
   acx = p3x - p1x DIw_"$'At  
   acy = p3y - p1y lx=tOfj8  
   bdx = p4x - p2x #]6{>n1*+w  
   bdy = p4y - p2y 6M.|W;  
   If acx * bdy = acy * bdx Then !\[JWN@v  
      rt(0) = 0 kiyc^
s  
      Exit Function UfPHV%Wd  
   Else Fi67"*gE  
      '判断斜率存在否 ;g? |y(xv  
      If p1x = p3x And p2x <> p4x Then NPrLM5  
         tt = "ac_n_bd_y"
'A^q)hpax  
      ElseIf p1x <> p3x And p2x = p4x Then 3z(4axH'  
         tt = "ac_y_bd_n" HFI0\*xn(  
      ElseIf p1x <> p3x And p2x <> p4x Then dJ m9''T')  
         tt = "ac_y_bd_y" `CH,QT7e  
      End If ZZ!">AN`^  
    Select Case tt Eh ";irE  
         Case "ac_n_bd_y" ! xG*
W6IT  
            'bd线段方程 (wM` LE(Ks  
            k_bd = bdy / bdx
yk)]aqic  
            b_bd = p2y - k_bd * p2x `:;q4zij;  
            p_x = p1x o.Rv<a5.L  
            p_y = k_bd * p_x + b_bd &e@)yVLL  
         Case "ac_y_bd_n" AB`.K{h  
            'ac线段方程 9aY8`B  
            k_ac = acy / acx (/N&_r4x  
            b_ac = p1y - k_ac * p1x aY#?QjL  
            p_x = p2x IlB8~{p_  
            p_y = k_ac * p_x + b_ac %^HE^
&  
        Case "ac_y_bd_y" ~^V&n`*7D  
           'ac，bd线段都要求 ?KOw~-u  
           k_ac = acy / acx a!E22k?((z  
           b_ac = p1y - k_ac * p1x [)1vKaC  
           k_bd = bdy / bdx Uu5(/vw]  
           b_bd = p2y - k_bd * p2x uT4|43< G  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) C_k
uW+H  
           p_y = k_ac * p_x + b_ac V(F9=r<X  
        End Select -]HZ?@  
      rt(1) = p_x sHc-xnd  
      rt(2) = p_y Leb|YX
 
     ESIP+  
'计算最大半径 *H/3xPh,*  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) twq~.:<o  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) NFZ(*v1U  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) [i/!o
vcY  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) DJL
.P6-W  
Dim bb(5) As Single T5."3i  
  bb(1) = rr1 Ly+UY.v"  
  bb(2) = rr2 JRo/ HY+  
  bb(3) = rr3 ^0}ma*gi~  
  bb(4) = rr4 +h4W<YnW  
  nb = rr1 z6C(?R  
For i = 1 To 4 =+Fb\HvX{  
    If nb <= bb(i) Then o+A1-&qhN  
       nb = bb(i) pWGR#x'  
    End If Z|uvrFa  
Next i #BUq;5  
    rt(0) = Sqr(nb)
*uhQP47B  
    rr = rt() 0X5cn 0L^  
  End If M% \T5  
         &,k!,<IF  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  BIWe Hx  

W@T\i2r$z  
有热压工艺方面的人才或者资料分享下； z{rV|vQ  
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 GTP'js  

高手真多！

楼主威武霸气.