[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： iztF  
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关键点说几个： ]<fZW"W<q  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） Z\)P|#L$  
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 ]HG>Og  
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 ,zBc-Cm  

以下是几个重要的函数： 6<n+p'+n  
1.判断点在区域中函数 6y@o[=m  
2.计算夹角函数 BUsAEwM  
3.转置函数 }-WuHh#  
4.得到区域中心点，及区域半径函数 "9H#pj -  
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） dSzq}w4xY  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 z#olKB
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Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single P-\T BS_O  
   cax = x2 - x1 A Rjox`  
   cay = y2 - y1 )$FwB6^  
   cbx = x2 - x3 [-Mfgw]i  
   cby = y2 - y3 E`3[62C  
   mo_jj = cax * cbx + cay * cby UrB{jS?  
   mo_ca = Sqr(cax * cax + cay * cay) _d3/="=  
   mo_cb = Sqr(cbx * cbx + cby * cby) `"E<%$|ZQy  
   cos_acb = mo_jj / (mo_ca * mo_cb) }Q>??~mVl
 
   'ff_cos = cos_acb =ThacZHb8  
   If cos_acb >= 1 Then :B4X/  
   nn = 0 ()@+QE$  
   ElseIf cos_acb <= -1 Then ,W;2A0A?X  
   nn = 3.14159265258979 f
TA%HsvU:  
   Else uTUkRqtD!  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) ?s{Pp  
   End If J.npv1F  
   'ff_angle = nn QPwUW  
   ff_angle = nn * 180 / 3.14159265258979 l,
M?  
End Function

'判断点在区域内函数 /=ro$@  
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 ]W 6!Xw)[  
Dim aob, boc, cod, doa, sum As Single b\9}zmG[u  
  If ppx = p1x And ppy = p1y Then ,Tc598D  
     point_in = True FOd)zU*L2  
     Exit Function c4n]#((%a  
  End If N;]"_
"  
  If ppx = p2x And ppy = p2y Then f\gN+4)  
     point_in = True 41jx+ 0\Z  
     Exit Function ;?0k>  
  End If E h>qUa  
   If ppx = p3x And ppy = p3y Then ]l4#KI@  
     point_in = True ue{0X\[P<  
     Exit Function } ^67HtNQ  
  End If MHkTN  
     0 lsX~d'W  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) p+bT{:  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) -*Z;EA-  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) zDO`w0N  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) juQQ  
    sum = aob + boc + cod + doa p$ %D  
    If 360.01 > sum And sum > 359.99 Then 8(c,b  
       point_in = True Ov=^}T4zl  
    Else w{;esU  
       point_in = False !4B($]t  
    End If t1)Qa(#]  
End Function

'得到点半径,得到交点坐标函数 QK3j.Ss  
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() HG/`5$L +}  
    '求得中心点坐标 3;6Criq}  
Dim tt As String n$fYgZKn  
Dim rt(3) As Single IPE2t  
    '判断是否平行  k_;+z  
   acx = p3x - p1x X>`e(1`_O  
   acy = p3y - p1y uIkB&  
   bdx = p4x - p2x :NJ(QkTZv  
   bdy = p4y - p2y P
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   If acx * bdy = acy * bdx Then 1\_S1ZS  
      rt(0) = 0 mPy=,xYyC  
      Exit Function 2O^7zW  
   Else *0GR }k  
      '判断斜率存在否 &xG>"sJ  
      If p1x = p3x And p2x <> p4x Then o0Y {k8  
         tt = "ac_n_bd_y" O]SjShp  
      ElseIf p1x <> p3x And p2x = p4x Then BuE=(v2
}  
         tt = "ac_y_bd_n" l H@hV  
      ElseIf p1x <> p3x And p2x <> p4x Then '<.@a"DnJ  
         tt = "ac_y_bd_y" yrnIQu*Uu  
      End If n9}3>~ll  
    Select Case tt 478gl o  
         Case "ac_n_bd_y" #&A)%Qbg  
            'bd线段方程 Bg?f}nu7  
            k_bd = bdy / bdx j~d<n_   
            b_bd = p2y - k_bd * p2x Vu3;U  
            p_x = p1x kDAPT_Gid  
            p_y = k_bd * p_x + b_bd nS8oSs_  
         Case "ac_y_bd_n" tiI:yq0  
            'ac线段方程 =N5~iMorD-  
            k_ac = acy / acx #@QZ  
            b_ac = p1y - k_ac * p1x 38Q>x  
            p_x = p2x ,,hW|CmN30  
            p_y = k_ac * p_x + b_ac &> Myf@  
        Case "ac_y_bd_y" FOAy'76p  
           'ac，bd线段都要求 iB
 =R  
           k_ac = acy / acx &jh'B,  
           b_ac = p1y - k_ac * p1x 6tC0F=  
           k_bd = bdy / bdx Bw]Y71  
           b_bd = p2y - k_bd * p2x ~|_s2T  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) ]chfa  
           p_y = k_ac * p_x + b_ac UQmdm$.  
        End Select aXAV`%b  
      rt(1) = p_x Cy'0O>v5  
      rt(2) = p_y 2E Ufd\  
     1Y2]jz4  
'计算最大半径 8.S&J6  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) K'6dlwn).  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) Q Q3a&  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) Z%]s+V)st  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) 9ZbT41  
Dim bb(5) As Single r2WW}W  
  bb(1) = rr1 gVM&wo |  
  bb(2) = rr2 5C}1iZEJ  
  bb(3) = rr3 8U98`# i  
  bb(4) = rr4 V&i/3g  
  nb = rr1 Sm@T/+uG:  
For i = 1 To 4 U}w,$ Y  
    If nb <= bb(i) Then lV4|(NQ9  
       nb = bb(i) @2>A\0U  
    End If [8F1rZ&  
Next i {tq.c9+!d  
    rt(0) = Sqr(nb) C5q n(tv  
    rr = rt() EDMuQu/D8  
  End If ]kXiT Yg  
         1{TmK9U  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  qKSS 2f $  

IonphTcU!  
有热压工艺方面的人才或者资料分享下； rpB0?h!$  
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 k_o$ Ci  

高手真多！

楼主威武霸气.