[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： GN%<"I.  
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图片:2.jpg

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关键点说几个： <[5#c*A  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） %(NN*o9"q  
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 5%qH7[dx  
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 r4S=I  

以下是几个重要的函数： BWohMT  
1.判断点在区域中函数 l"?]BC~  
2.计算夹角函数 lkN'uZ  
3.转置函数 .CvFE~  
4.得到区域中心点，及区域半径函数 +qZc} 7rJF  
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） PgTDjEo  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 Slo9#26  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single 
+!G4tA$g  
   cax = x2 - x1 J/= +r0c  
   cay = y2 - y1 s?5d  
   cbx = x2 - x3 srhFEmgN7)  
   cby = y2 - y3 4u7Cm  
   mo_jj = cax * cbx + cay * cby q'by
;g*m  
   mo_ca = Sqr(cax * cax + cay * cay) %5`r-F  
   mo_cb = Sqr(cbx * cbx + cby * cby)  Hl!1h%  
   cos_acb = mo_jj / (mo_ca * mo_cb) 2S'AIuIew
 
   'ff_cos = cos_acb 8KZ$F>T]>  
   If cos_acb >= 1 Then y>%W;r)  
   nn = 0 ]u~Os<  
   ElseIf cos_acb <= -1 Then 0}6QO  
   nn = 3.14159265258979 .:T
9pplq  
   Else R2SBhs,+R  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) Rnz8 f}  
   End If iY}QgB< M  
   'ff_angle = nn M&eQ=vew.  
   ff_angle = nn * 180 / 3.14159265258979 f>p; siR)  
End Function

'判断点在区域内函数 |&9tU  
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 FYxUOO  
Dim aob, boc, cod, doa, sum As Single 5sG ]3z+1  
  If ppx = p1x And ppy = p1y Then }R4(B2vup  
     point_in = True ZDW,7b%U  
     Exit Function D`1I;Tb#  
  End If [5x+aW%ql  
  If ppx = p2x And ppy = p2y Then *oKgP8CF  
     point_in = True *QMF <ze  
     Exit Function D7%^Ly  
  End If e|S+G6 :O2  
   If ppx = p3x And ppy = p3y Then ": mCZUt  
     point_in = True I:r($m  
     Exit Function pZyb  
  End If L~'^W/N  
     "K9vm^xP  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) '2;Ny23  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) P9 W<gIO  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) mMel,iK=  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) U{
j5kX  
    sum = aob + boc + cod + doa pyu46iE)  
    If 360.01 > sum And sum > 359.99 Then ---Ks0\V  
       point_in = True n
C-c8
y  
    Else T3=-UYx]  
       point_in = False N:m@D][/sW  
    End If s?4%<jz  
End Function

'得到点半径,得到交点坐标函数 Q' OuZKhA  
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() hlABu)B'1  
    '求得中心点坐标 Z&?+&q r^  
Dim tt As String e<: 4czh8  
Dim rt(3) As Single G}Qk!r  
    '判断是否平行 Z<$E.##  
   acx = p3x - p1x F$"MFdc[  
   acy = p3y - p1y )'/nS$\E:  
   bdx = p4x - p2x r7]?g~zb  
   bdy = p4y - p2y Q"l"p:n%n  
   If acx * bdy = acy * bdx Then .(gT+5[  
      rt(0) = 0 a:(: :m  
      Exit Function _Ex*%Qf.  
   Else v
e6N  
      '判断斜率存在否 lEVQA*u[  
      If p1x = p3x And p2x <> p4x Then dA_V:HP  
         tt = "ac_n_bd_y" P!>{>r4  
      ElseIf p1x <> p3x And p2x = p4x Then cq@_*:~Or  
         tt = "ac_y_bd_n" B6Wq/fl/  
      ElseIf p1x <> p3x And p2x <> p4x Then #w%a m`+  
         tt = "ac_y_bd_y" m=("N  
      End If -Ib+#pX  
    Select Case tt =:
v><  
         Case "ac_n_bd_y" G{&yzHAuae  
            'bd线段方程 ci{9ODN  
            k_bd = bdy / bdx E9Qd>o  
            b_bd = p2y - k_bd * p2x ZmYSi$B  
            p_x = p1x lN][xnP  
            p_y = k_bd * p_x + b_bd [EW$7 se~  
         Case "ac_y_bd_n" oZ\qT0*eb  
            'ac线段方程 ib""Fv7{  
            k_ac = acy / acx e!2%ku  
            b_ac = p1y - k_ac * p1x mV! @oNCK  
            p_x = p2x %FR^[H]  
            p_y = k_ac * p_x + b_ac #sm_.?P  
        Case "ac_y_bd_y" :+?W  
           'ac，bd线段都要求 &ttv4BC^r  
           k_ac = acy / acx SCt=OdP=  
           b_ac = p1y - k_ac * p1x wn A%Nh7  
           k_bd = bdy / bdx %M0mwty]  
           b_bd = p2y - k_bd * p2x x(/@Pt
2B  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) $<>EwW  
           p_y = k_ac * p_x + b_ac aJa^~*N/Aa  
        End Select &xiDG=I#  
      rt(1) = p_x 8#d1}Y  
      rt(2) = p_y bsk=9K2_2t  
     X gx2  
'计算最大半径 *n|0\V<  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) vxilQp  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) EV?47\~  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) VM V]TPks>  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) 5{d9,$%8&  
Dim bb(5) As Single  L@k;L  
  bb(1) = rr1 XnI ;7J  
  bb(2) = rr2 h,WY2Hr  
  bb(3) = rr3 rJc)<OZjT  
  bb(4) = rr4 fO|~Oz<S  
  nb = rr1 ;~gd<KK  
For i = 1 To 4 Mn }Z
9S[  
    If nb <= bb(i) Then Sfoy8<j  
       nb = bb(i) TXh@  
    End If UA!Gr3  
Next i J PzQBc5e  
    rt(0) = Sqr(nb) ]htZ!; 8J  
    rr = rt() gHh.|PysW  
  End If &6^W%r  
         PVkN3J  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  @gjdyz  

8Pdnw/W  
有热压工艺方面的人才或者资料分享下； g7z9i[  
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 ^t ldm7{_  

高手真多！

楼主威武霸气.