[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： 1{cF/ :o  
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关键点说几个： 2#UVpgX?  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） C^U>{jf !  
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 (0?FZ.9%  
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 OH 88d:  

以下是几个重要的函数： brF) %x`  
1.判断点在区域中函数 2Aa  
2.计算夹角函数 "*d%el\63  
3.转置函数 V`feUFw3  
4.得到区域中心点，及区域半径函数 jgYe\dinM  
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） 6gq`V,  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 DpL|aRdbK  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single @iYr<>iDZ  
   cax = x2 - x1 Reg%ah|$/=  
   cay = y2 - y1 %i.;~>  
   cbx = x2 - x3 P"+K'B7K3  
   cby = y2 - y3 vH?3UW  
   mo_jj = cax * cbx + cay * cby c 9zMI  
   mo_ca = Sqr(cax * cax + cay * cay) P;p20+  
   mo_cb = Sqr(cbx * cbx + cby * cby) Z&J.8A]L  
   cos_acb = mo_jj / (mo_ca * mo_cb) U+ief?;4F  
   'ff_cos = cos_acb (n@&M!a  
   If cos_acb >= 1 Then ?)/&tk9.n  
   nn = 0 gBy7q09r  
   ElseIf cos_acb <= -1 Then +[=%
W  
   nn = 3.14159265258979 Jn1(-  
   Else E&b!Y'  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) gG,gL9o  
   End If m'L8z fX  
   'ff_angle = nn SA-r61  
   ff_angle = nn * 180 / 3.14159265258979 9m2Yrj93  
End Function

'判断点在区域内函数 |gJI}"T  
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 mMtX:  
Dim aob, boc, cod, doa, sum As Single sQr |3}I(  
  If ppx = p1x And ppy = p1y Then pU5t,  
     point_in = True 2z=aP!9]  
     Exit Function ZHOh(  
  End If dW2Lvnh!>/  
  If ppx = p2x And ppy = p2y Then =%G<S'2'  
     point_in = True +Zo&c}  
     Exit Function ~z*A%vp6ER  
  End If =jW=Z$3q  
   If ppx = p3x And ppy = p3y Then p |xMXoa`  
     point_in = True OLgW.j:Ag  
     Exit Function 4l"oq"uc  
  End If %DF-;M"8  
     a2`|6M;  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) N'e3<  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) %:7fAB,PA  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) !TdbD56  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) xO` O$ie  
    sum = aob + boc + cod + doa {qjw  S1v  
    If 360.01 > sum And sum > 359.99 Then bG[)r  
       point_in = True *u`[2xmuYf  
    Else vB T]a  
       point_in = False uf&Ke k,  
    End If M?zwXmTVW0  
End Function

'得到点半径,得到交点坐标函数 NU?05sF  
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() c$[cDf~  
    '求得中心点坐标 wnoL<p  
Dim tt As String vfZ.js/  
Dim rt(3) As Single AUvUk<a  
    '判断是否平行 XAf,k&f3  
   acx = p3x - p1x Pn[R.u(l  
   acy = p3y - p1y yG<`7v  
   bdx = p4x - p2x %RF9R"t$  
   bdy = p4y - p2y !uJDhC  
   If acx * bdy = acy * bdx Then :CJ]^v  
      rt(0) = 0 2PrUI;J$  
      Exit Function +)eI8o0#  
   Else /
^TXGc.  
      '判断斜率存在否 bF X0UE>  
      If p1x = p3x And p2x <> p4x Then bzt(;>_8  
         tt = "ac_n_bd_y" Z_qOQ%l  
      ElseIf p1x <> p3x And p2x = p4x Then OL
S.0UEc  
         tt = "ac_y_bd_n" p%
+uv\Ix  
      ElseIf p1x <> p3x And p2x <> p4x Then L]C|&KP  
         tt = "ac_y_bd_y" c0%.GcF0{  
      End If <+wbnnK  
    Select Case tt +7]]=e<[E  
         Case "ac_n_bd_y" 93aRWEu3  
            'bd线段方程 1:+
f@#  
            k_bd = bdy / bdx !jeoB  
            b_bd = p2y - k_bd * p2x A=S_5y  
            p_x = p1x Y"RjMyQh  
            p_y = k_bd * p_x + b_bd
z[q#Dw  
         Case "ac_y_bd_n" X!vBD  
            'ac线段方程 1>BY:xZr  
            k_ac = acy / acx np#RBy  
            b_ac = p1y - k_ac * p1x "DniDA  
            p_x = p2x SQ_w~'(  
            p_y = k_ac * p_x + b_ac d/fg  
        Case "ac_y_bd_y" cn~M:LW23  
           'ac，bd线段都要求 M' d ,TV[  
           k_ac = acy / acx XDWR]  
           b_ac = p1y - k_ac * p1x cy6lsJ"?  
           k_bd = bdy / bdx pW>?%ft.  
           b_bd = p2y - k_bd * p2x _4]GP3`  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 5#|f:M]Bo|  
           p_y = k_ac * p_x + b_ac eiJ13`T  
        End Select drr n&y  
      rt(1) = p_x A+
:X  
      rt(2) = p_y t69C48}15  
     M+akD  
'计算最大半径 m1mA:R\zM  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) 0"*!0s~  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) gW[(gf.oo  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) ;ORT#7CU  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) aWe?n;  
Dim bb(5) As Single ^HYrJr$y  
  bb(1) = rr1 0pYCh$TL1  
  bb(2) = rr2 U0PQ[Y#\  
  bb(3) = rr3 <u'q._m  
  bb(4) = rr4 S8{Sb>  
  nb = rr1 xTy[X"sJ  
For i = 1 To 4 ^"g # !  
    If nb <= bb(i) Then -/k;VT|  
       nb = bb(i) ]CFh0N|(L  
    End If <)vjoRv  
Next i m3cO{ 1I  
    rt(0) = Sqr(nb) #fy#G}c  
    rr = rt() 6WN1DW  
  End If YL$#6d  
         Od?M4Ed(  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  X1A~#w>  

j k%MP6  
有热压工艺方面的人才或者资料分享下； U]Iypl`l  
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 WUVRwJ 5  

高手真多！

楼主威武霸气.