[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： aGml!N5'  
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描述:请输入描述

图片:2.jpg

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关键点说几个： fZgEJsr  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） +pY--5t  
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 !dV2:`|+  
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 -d4|EtN  

以下是几个重要的函数： ;J,`v5z0:  
1.判断点在区域中函数 eL_Il.:  
2.计算夹角函数 ?Q~o<%U7  
3.转置函数 0fog/c#q(  
4.得到区域中心点，及区域半径函数 hEq-)-^G  
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） \A 5Na-/9  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 bJcO,M:2  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single k] A(nr  
   cax = x2 - x1 l\WN  
   cay = y2 - y1 `>&K=C?  
   cbx = x2 - x3 %.WW-S3  
   cby = y2 - y3 vP%}XEF  
   mo_jj = cax * cbx + cay * cby BB imP  
   mo_ca = Sqr(cax * cax + cay * cay) 30W.ks5(  
   mo_cb = Sqr(cbx * cbx + cby * cby) f0{j/+F_o  
   cos_acb = mo_jj / (mo_ca * mo_cb) ?&-$Zog  
   'ff_cos = cos_acb  Dn#^-,H  
   If cos_acb >= 1 Then @rS(3wu_&  
   nn = 0 bT^(D^  
   ElseIf cos_acb <= -1 Then t=fr`|!  
   nn = 3.14159265258979 _%u t#  
   Else "hnvND4=  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 89j*uT  
   End If p,BoiYdi  
   'ff_angle = nn >en\:pJn)'  
   ff_angle = nn * 180 / 3.14159265258979 *!9=?  
End Function

'判断点在区域内函数 K >Q6  
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 [#(',~lN7  
Dim aob, boc, cod, doa, sum As Single &W3Hj$>  
  If ppx = p1x And ppy = p1y Then QO:Z8{21So  
     point_in = True ??f,(om  
     Exit Function ^VEaOKMr  
  End If b&6lu4D  
  If ppx = p2x And ppy = p2y Then Uy|Tu~  
     point_in = True PZVH=dagq  
     Exit Function M+I9k;N6&  
  End If 5,+fM6^V  
   If ppx = p3x And ppy = p3y Then s4j]kH  
     point_in = True k2(k0HFR  
     Exit Function ' g d=\gV  
  End If ix"BLn]YZ  
     "wCx]{Di  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) -f*5lk
O  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) Pif-uhOk%  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) #/5
eQTBD  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) sN K^.0  
    sum = aob + boc + cod + doa 6z]y =J  
    If 360.01 > sum And sum > 359.99 Then $)$_}^.k  
       point_in = True 4 !m'9  
    Else 0oZZLi  
       point_in = False T[<554  
    End If S$gLL kD1  
End Function

'得到点半径,得到交点坐标函数 `
q`ah_  
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() Fzy
kC  
    '求得中心点坐标 vz)R84  
Dim tt As String ?op;#/Q(  
Dim rt(3) As Single W)'*Dcd  
    '判断是否平行 e.^?hwl  
   acx = p3x - p1x #^yOW^  
   acy = p3y - p1y =oM#]M'G+(  
   bdx = p4x - p2x OT(0~,.GJ  
   bdy = p4y - p2y
R"l6|9tmP  
   If acx * bdy = acy * bdx Then l-Ha*>gX[j  
      rt(0) = 0 )CHXfO w  
      Exit Function ^Ku]8/ga  
   Else S}cR+d1}h  
      '判断斜率存在否 dkY
JO!  
      If p1x = p3x And p2x <> p4x Then  U ^nv)  
         tt = "ac_n_bd_y" q<Qjc  
      ElseIf p1x <> p3x And p2x = p4x Then e"*1l>g  
         tt = "ac_y_bd_n" ]')y(_{  
      ElseIf p1x <> p3x And p2x <> p4x Then fwmXIpteK  
         tt = "ac_y_bd_y" ]O{i?tyX  
      End If MK1#^9Zr  
    Select Case tt sAPQbTSM  
         Case "ac_n_bd_y" P#Whh  
            'bd线段方程 PVIZ Y^64  
            k_bd = bdy / bdx ~]].i~EV(  
            b_bd = p2y - k_bd * p2x ~
d3@x\I?  
            p_x = p1x LwTdmR  
            p_y = k_bd * p_x + b_bd "shX~zd5  
         Case "ac_y_bd_n" +FAxqCkA  
            'ac线段方程 D?UURURf  
            k_ac = acy / acx Ptcq/f  
            b_ac = p1y - k_ac * p1x {$5g29  
            p_x = p2x 1B:5O*I!J  
            p_y = k_ac * p_x + b_ac ,0ilNi>  
        Case "ac_y_bd_y" q#I'@Jbj  
           'ac，bd线段都要求 G9V2(P  
           k_ac = acy / acx
fJ0V|o  
           b_ac = p1y - k_ac * p1x X y`2ux+>/  
           k_bd = bdy / bdx
mIp> ~  
           b_bd = p2y - k_bd * p2x dA E85  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) /9,'.  
           p_y = k_ac * p_x + b_ac w\UAKN60  
        End Select jl]3B  
      rt(1) = p_x Q`NdsS2  
      rt(2) = p_y 6k![v@
2R  
     Gy;Fe=  
'计算最大半径 H "5,To  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) )MLbE-@  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) z@o6[g/*Q  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) CE!cZZ  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) l'
M/et{:  
Dim bb(5) As Single $tI<MZ&Z  
  bb(1) = rr1 U$y wO4.  
  bb(2) = rr2 ==gL!e{  
  bb(3) = rr3 T31F8K3x  
  bb(4) = rr4 @GGQ13Cj(  
  nb = rr1 ]=ZPSLuEm%  
For i = 1 To 4 w{lj'3z I  
    If nb <= bb(i) Then k.2GIc:5  
       nb = bb(i)
-3ANNj  
    End If l_$>$d  
Next i &<_q00F  
    rt(0) = Sqr(nb) D
gc6rv#  
    rr = rt() :-<30LS$  
  End If ->
o[ S0  
         
^$C&{%  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  Z,\(bW qF  

=h=-&DSA  
有热压工艺方面的人才或者资料分享下； -:Fr($^  
我公司主要做透镜类产品，现在有客户要审核我公司的导光膜工艺，头疼 i$}G[v<4  

高手真多！

楼主威武霸气.