[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： 
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关键点说几个： (@[c;+x  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） N"@aisi)  
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 n}}$-xl  
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 Jwgd9a5  

以下是几个重要的函数： vu V
cv  
1.判断点在区域中函数 W^v3pH-y#  
2.计算夹角函数 !hdOH3h=  
3.转置函数 &>,c..Ke  
4.得到区域中心点，及区域半径函数 xJlf}LEyF  
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） -
C1,$mkj  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 1g<jr.  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single Jvac|rN  
   cax = x2 - x1 ny'?Hl'Q  
   cay = y2 - y1 AYb-
BaIc  
   cbx = x2 - x3 l=4lhFG,Mk  
   cby = y2 - y3 +J[<zxh\  
   mo_jj = cax * cbx + cay * cby $z[FL=h)?+  
   mo_ca = Sqr(cax * cax + cay * cay) JiH^N!  
   mo_cb = Sqr(cbx * cbx + cby * cby) p`N+9t&I4  
   cos_acb = mo_jj / (mo_ca * mo_cb) 0[E}[{t`  
   'ff_cos = cos_acb &pCa{p  
   If cos_acb >= 1 Then zp.-=)D4e  
   nn = 0 +xYU$e6Z  
   ElseIf cos_acb <= -1 Then d%?$
UnQ  
   nn = 3.14159265258979 N5K\h}'%  
   Else -,YoVB!T  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 8U86-'Pq  
   End If P]cC2L@Vbi  
   'ff_angle = nn ~[a6  
   ff_angle = nn * 180 / 3.14159265258979 ^W#161&  
End Function

'判断点在区域内函数 @{V bu  
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  :d)y  
Dim aob, boc, cod, doa, sum As Single 2UbTKN  
  If ppx = p1x And ppy = p1y Then H"5=z7w  
     point_in = True -}x( MZ  
     Exit Function VPi*9(LS  
  End If z*,J0)<Q  
  If ppx = p2x And ppy = p2y Then " i!Xiy~  
     point_in = True ks19e>'5Q  
     Exit Function xu<oQBt  
  End If |X47&Y  
   If ppx = p3x And ppy = p3y Then e|1.-P@  
     point_in = True "rVf{
  
     Exit Function a'!p^/6?  
  End If 7ILb&JQ!%{  
     u;G-46  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) T;C0t9Yew  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) (Q(=MEar  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) 1
[:tiTG|C  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) `=%mU/v  
    sum = aob + boc + cod + doa ihp>cl?  
    If 360.01 > sum And sum > 359.99 Then EBMZ7b-7  
       point_in = True vw2yOLRX  
    Else }}b &IA#  
       point_in = False Um%$TGw5  
    End If Eg+z(m$M  
End Function

'得到点半径,得到交点坐标函数 v|IG G'r  
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() R>B4v+b  
    '求得中心点坐标 $s<bKju  
Dim tt As String 6~+/cY-V  
Dim rt(3) As Single z8JdA%YBM  
    '判断是否平行 hQ_gOI  
   acx = p3x - p1x FA$1&Fu3Y  
   acy = p3y - p1y G[lNgVbU@  
   bdx = p4x - p2x qr'P0+|~5  
   bdy = p4y - p2y l<-0@(x)  
   If acx * bdy = acy * bdx Then ,M0#?j>  
      rt(0) = 0 d>h
Lnz1O  
      Exit Function cyXnZs ?|  
   Else /SKgN{tWe  
      '判断斜率存在否 wS;hC&~2  
      If p1x = p3x And p2x <> p4x Then ><w=  
         tt = "ac_n_bd_y" k.6(Q_TS  
      ElseIf p1x <> p3x And p2x = p4x Then dkAY%ztwo  
         tt = "ac_y_bd_n" cr>"LAi  
      ElseIf p1x <> p3x And p2x <> p4x Then O Ce;8^  
         tt = "ac_y_bd_y" #,;X2%c  
      End If h e1=  
    Select Case tt &BE'~G  
         Case "ac_n_bd_y" js F96X{  
            'bd线段方程 ^"{txd?6  
            k_bd = bdy / bdx ZUK'z  
            b_bd = p2y - k_bd * p2x E-i<^&E  
            p_x = p1x |m>{< :  
            p_y = k_bd * p_x + b_bd l~'NqmXe  
         Case "ac_y_bd_n" ~9JLqN"  
            'ac线段方程 [`U9
  
            k_ac = acy / acx &uLC{Ik}  
            b_ac = p1y - k_ac * p1x 56!/E5qgW  
            p_x = p2x IgNL1KRD  
            p_y = k_ac * p_x + b_ac ";*Iwd*V  
        Case "ac_y_bd_y" ;Y%.m3  
           'ac，bd线段都要求 !_pryNcb  
           k_ac = acy / acx Hq."_i{I  
           b_ac = p1y - k_ac * p1x %dDwus  
           k_bd = bdy / bdx UlH;0P?  
           b_bd = p2y - k_bd * p2x &-2i+KjEX  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) U( (F<  
           p_y = k_ac * p_x + b_ac &vV_,$  
        End Select jQi)pVT^  
      rt(1) = p_x 5o2|QL  
      rt(2) = p_y {i|$^A3  
     <69Uq8GI  
'计算最大半径 .TKKjS%8  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) "FH03
9  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) v6*8C
Q+  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) =N<Z@'c  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) 1%k$9[!l%  
Dim bb(5) As Single MtXTh*4  
  bb(1) = rr1 ,Vr'F  
  bb(2) = rr2 U9%#(
T$  
  bb(3) = rr3 D>m!R[!o  
  bb(4) = rr4 {/K_NSg+h  
  nb = rr1 y)D7!s  
For i = 1 To 4 ^gd[UC-"w  
    If nb <= bb(i) Then Yxd&hr  
       nb = bb(i) /><+[\q4LM  
    End If @ !m+s~~]h  
Next i p}9bZKyf  
    rt(0) = Sqr(nb) \%$z!]S>  
    rr = rt() HRF;qR9v  
  End If /d-
d8n  
         h+d3JM  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  di5>aAJ)D  

=vc8u&L2
 
有热压工艺方面的人才或者资料分享下； mf\eg`'4?  
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 kjVJ!R\  

高手真多！

楼主威武霸气.