[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： CI{x/ e^(  
3(5Y-.aK}^  
*cIXae^Y7  

关键点说几个： }q9f,mz  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） 3yN1cd"#?  
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 p~IvkW>ln)  
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 ^ a:F*<D  

以下是几个重要的函数： CR<l"~X  
1.判断点在区域中函数 f$|v  
2.计算夹角函数 >nX'RE|F  
3.转置函数 V EzIWNV  
4.得到区域中心点，及区域半径函数 h*LIS@&9C5  
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） EX_&wep@1  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 6%TV X  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single # V+e  
   cax = x2 - x1 D$\ EZ
 
   cay = y2 - y1 `|R{^Sk1o  
   cbx = x2 - x3 k.%F!sK  
   cby = y2 - y3 -t]0DsPg  
   mo_jj = cax * cbx + cay * cby xQQ6D  
   mo_ca = Sqr(cax * cax + cay * cay) 2.yzR DfZ  
   mo_cb = Sqr(cbx * cbx + cby * cby) 5s;#C/ZZ  
   cos_acb = mo_jj / (mo_ca * mo_cb) Ne%X:h  
   'ff_cos = cos_acb ~0L>l J  
   If cos_acb >= 1 Then #]rw@c  
   nn = 0 VuGSP]$q  
   ElseIf cos_acb <= -1 Then @ o]F~x  
   nn = 3.14159265258979 AWw'pgTQX  
   Else {PZe!EQ  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) t1kD5^  
   End If 95}"AIi  
   'ff_angle = nn /9sUp}*  
   ff_angle = nn * 180 / 3.14159265258979 ,M9'S;&^  
End Function

'判断点在区域内函数 TWy1)30x  
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 *{uu_O  
Dim aob, boc, cod, doa, sum As Single l! GPOmf9`  
  If ppx = p1x And ppy = p1y Then s;bqUY?LD  
     point_in = True jk~<si  
     Exit Function mWZVO,t$  
  End If K~uoZ~_gA  
  If ppx = p2x And ppy = p2y Then bp }~{]:b  
     point_in = True fSj^/>  
     Exit Function 3 Tt8#B  
  End If 9vXrC_W9  
   If ppx = p3x And ppy = p3y Then 0'gJSrgNI  
     point_in = True IlH*s/  
     Exit Function Q~jUZ-qN  
  End If iKu5K0x{>I  
     ,$*$w<  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) >scEdeM  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) !O*\|7A(  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) Yt&^i(  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 'Ic
$p>  
    sum = aob + boc + cod + doa C@xh$(y  
    If 360.01 > sum And sum > 359.99 Then ~GZ(Ou-&  
       point_in = True J:t1W=lJ3  
    Else 1g *4e  
       point_in = False %GJ,&b|
 
    End If 1Eh(U  
End Function

'得到点半径,得到交点坐标函数 8dP^zjPj  
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() iJU]|t  
    '求得中心点坐标 $cnIsyKWY  
Dim tt As String ENygD  
Dim rt(3) As Single m+zzhv1  
    '判断是否平行 ~i(X{^,3  
   acx = p3x - p1x 5MT$n4zKu  
   acy = p3y - p1y k\A8Z[  
   bdx = p4x - p2x _L9`bzZj  
   bdy = p4y - p2y b3W@{je  
   If acx * bdy = acy * bdx Then c{zQX0  
      rt(0) = 0 phd,Jg[  
      Exit Function %6L{Z*(  
   Else 2}K7(y!?u  
      '判断斜率存在否 \It8+^d@  
      If p1x = p3x And p2x <> p4x Then (z\@T`6`  
         tt = "ac_n_bd_y" 
aH*)W'N?  
      ElseIf p1x <> p3x And p2x = p4x Then YuFJJAJ  
         tt = "ac_y_bd_n" 4Z,MqG>  
      ElseIf p1x <> p3x And p2x <> p4x Then nKT\/}d  
         tt = "ac_y_bd_y" k68\ _NUL  
      End If }/Pz1,/  
    Select Case tt [?^,,.Dd  
         Case "ac_n_bd_y" `$7.(.#s  
            'bd线段方程 m\RU|Z  
            k_bd = bdy / bdx \}Z5}~S  
            b_bd = p2y - k_bd * p2x /{6PwlP5  
            p_x = p1x ihdN{Mx<2  
            p_y = k_bd * p_x + b_bd <`}Oi5nW  
         Case "ac_y_bd_n" j@ lHgis  
            'ac线段方程 e<#t]V  
            k_ac = acy / acx OW;]=k/(  
            b_ac = p1y - k_ac * p1x oSq4g{xvMH  
            p_x = p2x W{<_gD9  
            p_y = k_ac * p_x + b_ac akoK4!z  
        Case "ac_y_bd_y" 1YL6:5n  
           'ac，bd线段都要求 !RN(/ &%y  
           k_ac = acy / acx FWNWOU  
           b_ac = p1y - k_ac * p1x 9KkxUEk
W  
           k_bd = bdy / bdx x\T 9V~8a  
           b_bd = p2y - k_bd * p2x W1fEUVj  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) V4PI~"4q#1  
           p_y = k_ac * p_x + b_ac gMS-mkZ  
        End Select ]3nka$wA*  
      rt(1) = p_x @9Rgg9r  
      rt(2) = p_y
xEb+sE6Z  
     ~.;+uH<i  
'计算最大半径 fMgB!y"Em  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) DryN}EMOKD  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) ZCVwQ#Xe+  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) AwN7/M~'  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) K Rs e  
Dim bb(5) As Single Q]?r&%Y  
  bb(1) = rr1 r)E9]"TAB  
  bb(2) = rr2 ra2sYH1wr  
  bb(3) = rr3 ,rc?,J1l  
  bb(4) = rr4 '#pY/,hVB  
  nb = rr1 v,Eqn8/O  
For i = 1 To 4 &3~lZa;D  
    If nb <= bb(i) Then $R6iG\
V5  
       nb = bb(i) IYAvO%~  
    End If qz[qjGdHg  
Next i ;aXu  
    rt(0) = Sqr(nb) sxc^n aK0  
    rr = rt() <?yf<G'$  
  End If ^C$Oht,cU  
         IdTatE|^  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  E`A6GX  

n PAl8  
有热压工艺方面的人才或者资料分享下； k_,wa]ws$  
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 LvM;ZfAEv  

高手真多！

楼主威武霸气.