[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： ]A-LgDsS  
lxXF8c>U  
U/q"F<?.c  

关键点说几个： |1OF!(:  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） =hh,yi  
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 o~:({  
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 !C' Y 7  

以下是几个重要的函数： 0F 4%Xz  
1.判断点在区域中函数 :Ot5W  
2.计算夹角函数 H0lAu]~R_W  
3.转置函数 N':d T  
4.得到区域中心点，及区域半径函数 ?y*yl  
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） &eg@ZnPn  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 ? i|LO  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single @F5QgO J&r  
   cax = x2 - x1 c$%I^f}'  
   cay = y2 - y1 2mvp|<"  
   cbx = x2 - x3 H]f
8W]"c[  
   cby = y2 - y3 v.H@Ey2  
   mo_jj = cax * cbx + cay * cby 'F8:|g  
   mo_ca = Sqr(cax * cax + cay * cay) xb(y15R\I  
   mo_cb = Sqr(cbx * cbx + cby * cby) V@ph.)z  
   cos_acb = mo_jj / (mo_ca * mo_cb) ]:]w+N%7  
   'ff_cos = cos_acb /{X2:g{  
   If cos_acb >= 1 Then r?n3v[B  
   nn = 0 xOpCybmc  
   ElseIf cos_acb <= -1 Then V0$:t^^  
   nn = 3.14159265258979 XM*%n8q7#N  
   Else a: OuDjFp  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) `>}e 5  
   End If |f&=9%  
   'ff_angle = nn PHn3f;I  
   ff_angle = nn * 180 / 3.14159265258979 cf1GA  
End Function

'判断点在区域内函数 Kkds^v6  
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 k39;7J  
Dim aob, boc, cod, doa, sum As Single -r"h[UV)  
  If ppx = p1x And ppy = p1y Then m:XMF)tW  
     point_in = True |b:91l  
     Exit Function Wd_KZ}lX  
  End If 8klu*  
  If ppx = p2x And ppy = p2y Then d_}q.%*  
     point_in = True yY42+%P  
     Exit Function HBnnIbEtF'  
  End If .q7o7J%  
   If ppx = p3x And ppy = p3y Then 7vs>PV  
     point_in = True %CiZ>`5n#  
     Exit Function </8F  
  End If 4!KUPgg  
     ep2#a#&'  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) a5xp[TlXn.  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) 5}t}Wc8  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) VBK9te,A  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) Z6`[dAo  
    sum = aob + boc + cod + doa >A;9Ee"&  
    If 360.01 > sum And sum > 359.99 Then S>pbplE  
       point_in = True !*C9NX  
    Else Xm2p<Xu8h  
       point_in = False _7"G&nZ0  
    End If sC.aT(meJ  
End Function

'得到点半径,得到交点坐标函数 X_eh+>D  
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() vA*Ud;%R  
    '求得中心点坐标 5xawa:K  
Dim tt As String /i#~#Bn|  
Dim rt(3) As Single #J
H#Qg  
    '判断是否平行 Kf$%C"  
   acx = p3x - p1x
.;0?r9  
   acy = p3y - p1y E$'Zd,|f=  
   bdx = p4x - p2x ,wN>
,(  
   bdy = p4y - p2y 2=TQU33#  
   If acx * bdy = acy * bdx Then =hO0@w  
      rt(0) = 0 2R!1Vl  
      Exit Function ;U=RV&  
   Else #q"^6C 5  
      '判断斜率存在否 (gv1f  
      If p1x = p3x And p2x <> p4x Then wYrb P11  
         tt = "ac_n_bd_y" !kl9X-IiI  
      ElseIf p1x <> p3x And p2x = p4x Then lIg;>|'Z5&  
         tt = "ac_y_bd_n" %/o8-N|_[  
      ElseIf p1x <> p3x And p2x <> p4x Then '@ym-\,  
         tt = "ac_y_bd_y" pk*cch#  
      End If J<<0U;  
    Select Case tt =!b<
@41  
         Case "ac_n_bd_y" h98_6Dw(]  
            'bd线段方程 ,3t('S
E  
            k_bd = bdy / bdx vPn(~d_  
            b_bd = p2y - k_bd * p2x 5m`@ 4%)zp  
            p_x = p1x .&AS-">Z  
            p_y = k_bd * p_x + b_bd <303PPX^6  
         Case "ac_y_bd_n" p1 9j  
            'ac线段方程 3JiJ,<,7  
            k_ac = acy / acx n y7
G  
            b_ac = p1y - k_ac * p1x v(T;Y=&  
            p_x = p2x J1^6p*]GX  
            p_y = k_ac * p_x + b_ac meHAa`  
        Case "ac_y_bd_y" $DmWK_A  
           'ac，bd线段都要求 p#9.lFSX  
           k_ac = acy / acx G
B1[`U%  
           b_ac = p1y - k_ac * p1x S(^*DV  
           k_bd = bdy / bdx !4 4)=xW  
           b_bd = p2y - k_bd * p2x aN7VGc  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) ZqHh$QBD 9  
           p_y = k_ac * p_x + b_ac li4rK<O  
        End Select -vcHSwGb  
      rt(1) = p_x dF2 &{D"J  
      rt(2) = p_y em  
     `zNvZm-E  
'计算最大半径 E>tlY&0[$  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) c]`}DH,TJ  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) uUUj?%  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) :xitV]1.   
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) pJC@}z^cw  
Dim bb(5) As Single E?o1&(2p  
  bb(1) = rr1 #2thg{5  
  bb(2) = rr2 TbqED\5@9w  
  bb(3) = rr3 ?u/Uov@rD  
  bb(4) = rr4 VjbRjn5LI  
  nb = rr1 c}a.  
For i = 1 To 4 >5{Z'UWxh  
    If nb <= bb(i) Then Y%v?ROql  
       nb = bb(i) =@U~sl[  
    End If U[/k=}76  
Next i sgdxr!1?y  
    rt(0) = Sqr(nb) };[~>Mzl  
    rr = rt() x:W nF62  
  End If o+sb2:x  
         B w1ir  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  lhsd39NM  

0j*-ZvE)30  
有热压工艺方面的人才或者资料分享下； ea-NqdGs;m  
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 <rd7<@>5D  

高手真多！

楼主威武霸气.