[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： !:fv>FEI9  
8v yG*UK  
?M6ag_h3  

关键点说几个： QLbMPS  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） /N^~U&7  
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 &1)xoZ'\  
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 d*;$AYI#R  

以下是几个重要的函数： TGWdyIk  
1.判断点在区域中函数 N&;\PfG  
2.计算夹角函数 3-Y=EH_0  
3.转置函数 mf4z?G@6  
4.得到区域中心点，及区域半径函数 rB]W,8~%  
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） 9[>Lp9l'  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 >_#)3K1y8  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single Z>{*ISvpq  
   cax = x2 - x1 Pe,;MP\2  
   cay = y2 - y1 PHkDb/HIx|  
   cbx = x2 - x3 <kc]L x  
   cby = y2 - y3 3bH5C3(u  
   mo_jj = cax * cbx + cay * cby >6K4b/.5w  
   mo_ca = Sqr(cax * cax + cay * cay) M]0^ind  
   mo_cb = Sqr(cbx * cbx + cby * cby) XqFu(Lm8=  
   cos_acb = mo_jj / (mo_ca * mo_cb) &|,s{?z2  
   'ff_cos = cos_acb Hs<n^fyf  
   If cos_acb >= 1 Then ;qVG \wQq  
   nn = 0 _SF!T6A  
   ElseIf cos_acb <= -1 Then DB Xm  
   nn = 3.14159265258979 GEi MmH?  
   Else ^fZGX<fH   
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) j&llrN  
   End If |M _%QM.  
   'ff_angle = nn zg0%>iqO  
   ff_angle = nn * 180 / 3.14159265258979 77_g}N  
End Function

'判断点在区域内函数 .='3bQ(UZ4  
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 MyM+C}  
Dim aob, boc, cod, doa, sum As Single L+(C5L93}  
  If ppx = p1x And ppy = p1y Then {SHqW5VX  
     point_in = True x{QBMe`  
     Exit Function ,?
#*eJD  
  End If 8q{1E];:q  
  If ppx = p2x And ppy = p2y Then I<9n(rA  
     point_in = True )j(fWshP  
     Exit Function mj,qQ=n;p  
  End If !}j,TPpG  
   If ppx = p3x And ppy = p3y Then 2Z-,c;21  
     point_in = True XzN-slu!  
     Exit Function &KOO
&,  
  End If (,d/JnP  
     +0dQORo  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) &,_?>.\[<  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) d{iL?>'?^  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) ^$8Vh=D  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 1riBvBT  
    sum = aob + boc + cod + doa g8rp|MOH  
    If 360.01 > sum And sum > 359.99 Then KWtu,~O_u  
       point_in = True <?nB,U  
    Else #efqG=q  
       point_in = False sio)_8tp  
    End If X!2.IsIS8  
End Function

'得到点半径,得到交点坐标函数 -qs(2^  
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() Kp$_0
 
    '求得中心点坐标 g&|4  
Dim tt As String J2)-cY5G  
Dim rt(3) As Single 0~(\lkh*!9  
    '判断是否平行 H-;&xzAI  
   acx = p3x - p1x l7!U),x%/U  
   acy = p3y - p1y `4$4bXrP'  
   bdx = p4x - p2x )RpqZe/h4  
   bdy = p4y - p2y J(3gT}z-  
   If acx * bdy = acy * bdx Then NvEm,E\|  
      rt(0) = 0 J
slk  
      Exit Function / c4;3>IS  
   Else N
8Rm})  
      '判断斜率存在否 i5ajM,i/K  
      If p1x = p3x And p2x <> p4x Then 5xG|35Pj  
         tt = "ac_n_bd_y" 5HWwl.
D  
      ElseIf p1x <> p3x And p2x = p4x Then E.
?E~}z  
         tt = "ac_y_bd_n" UY?i E=  
      ElseIf p1x <> p3x And p2x <> p4x Then e{^:/WcYB  
         tt = "ac_y_bd_y" []GthF  
      End If z Y$X|=f  
    Select Case tt 8o*\W$K@  
         Case "ac_n_bd_y" L?Kz P.(t+  
            'bd线段方程 %RCl+hOP.h  
            k_bd = bdy / bdx [[";1l  
            b_bd = p2y - k_bd * p2x "R@$Wu53|  
            p_x = p1x {bAWc.  
            p_y = k_bd * p_x + b_bd O;"*_Xq(`  
         Case "ac_y_bd_n" 5`1(}  
            'ac线段方程
x.0k%H  
            k_ac = acy / acx d,GtH)(s  
            b_ac = p1y - k_ac * p1x zhVa.r A  
            p_x = p2x FYx `o\  
            p_y = k_ac * p_x + b_ac hqhu^.}]  
        Case "ac_y_bd_y" H<r
nJ  
           'ac，bd线段都要求 o(Ua",|  
           k_ac = acy / acx -13P 2<i+  
           b_ac = p1y - k_ac * p1x  VJ~X#Q  
           k_bd = bdy / bdx *`@XKK  
           b_bd = p2y - k_bd * p2x =j'J !M  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac)  kg/+vJ  
           p_y = k_ac * p_x + b_ac v!pj v%  
        End Select
X/- W8  
      rt(1) = p_x wW6mYgPN%  
      rt(2) = p_y
dy2_@/T7  
     O<eWq]  
'计算最大半径 78^UgO/  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) VuX>  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 2$j Ot}  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) j#Ky0+@V  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) F#!@}K8  
Dim bb(5) As Single X]&;8  
  bb(1) = rr1 '%n<MTL  
  bb(2) = rr2 Xh7~MU~X  
  bb(3) = rr3 %-1BA*J`|  
  bb(4) = rr4 y(bt56 | z  
  nb = rr1 /el["l
 
For i = 1 To 4 ] dm1Qm  
    If nb <= bb(i) Then %h/#^esi  
       nb = bb(i) #x4h_K Y  
    End If > hDsm;,/  
Next i ZuFVtW@  
    rt(0) = Sqr(nb) &.+n L  
    rr = rt() cKi^C  
  End If QKUBh-QFK  
         V#-qKV  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  R&=GB\`:a  

:5cu,&<Gv  
有热压工艺方面的人才或者资料分享下； M(h 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 JbC\l  

高手真多！

楼主威武霸气.