[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： Q>9bKP  
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关键点说几个： |:4?K*w",  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） a#[gNT~[  
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 @Bjp7v:w  
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 UL#:!J/34  

以下是几个重要的函数： N;BuBm5K  
1.判断点在区域中函数 T5e#Ll/  
2.计算夹角函数 Nq\)o{<1  
3.转置函数 I.|b:c xN  
4.得到区域中心点，及区域半径函数 I|K!hQ"m  
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） v<)&JlR  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 uTPAf^|  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single =_g#I  
   cax = x2 - x1 V=5*)i/  
   cay = y2 - y1 +|8.ymvm  
   cbx = x2 - x3 D
d/]?4  
   cby = y2 - y3 _h,_HW)G  
   mo_jj = cax * cbx + cay * cby c+T`X?.j  
   mo_ca = Sqr(cax * cax + cay * cay) Lc[TI
X
  
   mo_cb = Sqr(cbx * cbx + cby * cby) G/fBeK$.  
   cos_acb = mo_jj / (mo_ca * mo_cb) F^%\AA]8  
   'ff_cos = cos_acb K3h7gY|.  
   If cos_acb >= 1 Then F1B/
cd  
   nn = 0 @2d9 7.X  
   ElseIf cos_acb <= -1 Then rUyGTe(@h  
   nn = 3.14159265258979 k{b|w')  
   Else +%KkzdS'  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) h)j#?\KYm9  
   End If aK|  
   'ff_angle = nn tX1`/}``  
   ff_angle = nn * 180 / 3.14159265258979 ]GCw3r(!  
End Function

'判断点在区域内函数 zw$\d1-+h  
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 (e!Yu#-  
Dim aob, boc, cod, doa, sum As Single Knb(MI6  
  If ppx = p1x And ppy = p1y Then fZsw+PSy  
     point_in = True kjdIk9 Y  
     Exit Function s~B)xYmyB'  
  End If UGgo;e  
  If ppx = p2x And ppy = p2y Then }2m>S6""A  
     point_in = True $dK430_B  
     Exit Function yENAcsv  
  End If "zTy_0[;  
   If ppx = p3x And ppy = p3y Then <ME>#,  
     point_in = True f2SJ4"X
  
     Exit Function ;1nXJ{jKw  
  End If /dvronG  
     i`];xNR'  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) ZPq.|6&  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) S>*i\OnI'  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) ?@FqlWz,  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) Lr6C@pI  
    sum = aob + boc + cod + doa `Je1$)%  
    If 360.01 > sum And sum > 359.99 Then )Td{}vbIh  
       point_in = True I!1+#0SG  
    Else 8No'8(dPX  
       point_in = False ~Jw84U{$  
    End If Pw7uxN`  
End Function

'得到点半径,得到交点坐标函数 v.>K )%`#  
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() =Bm|9A1  
    '求得中心点坐标 ,`YBTU  
Dim tt As String P7bb2"_9  
Dim rt(3) As Single |r)QkxdU,  
    '判断是否平行 pBv,,d`  
   acx = p3x - p1x Yh@2m9  
   acy = p3y - p1y T:2f*!r  
   bdx = p4x - p2x }m5()@Q}a  
   bdy = p4y - p2y S+wT}_BQ  
   If acx * bdy = acy * bdx Then _JTK$\  
      rt(0) = 0 E.ji;5  
      Exit Function GQd[7j[sh  
   Else 1=,2i)  
      '判断斜率存在否 Hy,""Py  
      If p1x = p3x And p2x <> p4x Then vZ57 S13  
         tt = "ac_n_bd_y" 2  @T~VRy  
      ElseIf p1x <> p3x And p2x = p4x Then ;~d$OM  
         tt = "ac_y_bd_n" @H~oOf  
      ElseIf p1x <> p3x And p2x <> p4x Then =2NrmwWZs  
         tt = "ac_y_bd_y" *!*%~h8V  
      End If s3Zt)xQ3  
    Select Case tt j;z7T;!i  
         Case "ac_n_bd_y" 7gB?rJHV,  
            'bd线段方程 xJU]py~o  
            k_bd = bdy / bdx bqA`oRb\  
            b_bd = p2y - k_bd * p2x 2]5Li/  
            p_x = p1x 6J}Yr5oD  
            p_y = k_bd * p_x + b_bd :&'jh/vRN  
         Case "ac_y_bd_n" UQ7]hX9  
            'ac线段方程 U/cj_}uX  
            k_ac = acy / acx }B
L7P-km  
            b_ac = p1y - k_ac * p1x >b=."i  
            p_x = p2x cS
:O|R#%t  
            p_y = k_ac * p_x + b_ac '@M"#`#0  
        Case "ac_y_bd_y" =mPe wx'  
           'ac，bd线段都要求 S^p^) fAmF  
           k_ac = acy / acx &k)v/  
           b_ac = p1y - k_ac * p1x -OU{99$aS  
           k_bd = bdy / bdx N|>JLZ>  
           b_bd = p2y - k_bd * p2x zF>;7'\x  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 9%NobT  
           p_y = k_ac * p_x + b_ac UA2KY}pz5  
        End Select -\;0gnf{J  
      rt(1) = p_x ]$9y7Bhj.  
      rt(2) = p_y p8)R#QWz9  
     @|wU @by{  
'计算最大半径 kN{$-v=K  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) K*b* ]hf{  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) -
Q JPJ.  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) U$+,|\9  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) p'%S{v@5((  
Dim bb(5) As Single i\b^}m8c.N  
  bb(1) = rr1 WG\ _eRj  
  bb(2) = rr2 ">3t+A  
  bb(3) = rr3 }79jyS-e  
  bb(4) = rr4 e`LkCy[_  
  nb = rr1 o 7tUv"Rs  
For i = 1 To 4 zaLPPm&f  
    If nb <= bb(i) Then
YVgH[-`,  
       nb = bb(i) 2PRiiL@  
    End If ~TS!5Wiv  
Next i Qox/abC h  
    rt(0) = Sqr(nb) 6_
u!{  
    rr = rt() _6r[msH"  
  End If y {Bajil  
         "JLE  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  ps,Kj3^T<  

tB`"gC~  
有热压工艺方面的人才或者资料分享下； ]:?S}DRG  
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 2~g-k3  

高手真多！

楼主威武霸气.