[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： ^_m9KA  
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图片:2.jpg

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关键点说几个： ^U!0-y  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） VX1-JxY  
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 8e(\%bX  
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 ?5{>;#0Z  

以下是几个重要的函数： .*
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1.判断点在区域中函数 .yEBOMNZ  
2.计算夹角函数 S@/IQR  
3.转置函数 tw9f%p  
4.得到区域中心点，及区域半径函数 @
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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） PGoh1Uu  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 ys
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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`cq H(
 
   cax = x2 - x1 O*FUTZd(J  
   cay = y2 - y1 aq@8"b(.  
   cbx = x2 - x3 tu66'z  
   cby = y2 - y3 d\gJ$ ~^K  
   mo_jj = cax * cbx + cay * cby i=oU;7~zK  
   mo_ca = Sqr(cax * cax + cay * cay) y#z  
   mo_cb = Sqr(cbx * cbx + cby * cby) ElW~48  
   cos_acb = mo_jj / (mo_ca * mo_cb) |}di&y@-JI  
   'ff_cos = cos_acb 85Otss/mM  
   If cos_acb >= 1 Then ) iN/ua  
   nn = 0 fUA uqfj[  
   ElseIf cos_acb <= -1 Then >]vlkA(  
   nn = 3.14159265258979 wMg0>  
   Else EZ`te0[  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) vkEiOFU!u  
   End If "ozr+:#\  
   'ff_angle = nn i\rDu^VQ  
   ff_angle = nn * 180 / 3.14159265258979 ]Hefm?9*^  
End Function

'判断点在区域内函数 tne ST.  
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 7>))D'l57  
Dim aob, boc, cod, doa, sum As Single ($;77fPR  
  If ppx = p1x And ppy = p1y Then FE (ev 9@  
     point_in = True Pama#6?OPh  
     Exit Function YSic-6z0Ms  
  End If 7`zHX&-W  
  If ppx = p2x And ppy = p2y Then -~v2BN/  
     point_in = True '}Z~JYa0  
     Exit Function jZ~n[ f+Q  
  End If 9CWF{"  
   If ppx = p3x And ppy = p3y Then ( +Q&[E"87  
     point_in = True 2db3I:;E  
     Exit Function IYS)7`{]  
  End If rrBsb -
 
     ( u\._Gwsx  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y)
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    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) .*Ct bGw  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) F@'Jbd`   
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) .ps-4eXF  
    sum = aob + boc + cod + doa e478U$  
    If 360.01 > sum And sum > 359.99 Then p6#g;$V$  
       point_in = True
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    Else g(qJN<RC/  
       point_in = False (a.z9nqGA  
    End If j<VFn~*_  
End Function

'得到点半径,得到交点坐标函数 f_jo+z{-ik  
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() &:9cAIe]H  
    '求得中心点坐标 }Jy8.<Gd^  
Dim tt As String zZPuha8  
Dim rt(3) As Single DCIxRPw
 
    '判断是否平行 %Gz0^[+  
   acx = p3x - p1x nm5cpnNl  
   acy = p3y - p1y ?I
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   bdx = p4x - p2x p{amC ;cI$  
   bdy = p4y - p2y : UGZ+  
   If acx * bdy = acy * bdx Then M -cTRd-i  
      rt(0) = 0 f9t6q*a`%  
      Exit Function D/Z6C&/I  
   Else $+8cc\fq  
      '判断斜率存在否 fHE<(  
      If p1x = p3x And p2x <> p4x Then bH7X'%r  
         tt = "ac_n_bd_y" /32Fy`KV  
      ElseIf p1x <> p3x And p2x = p4x Then `5cKA;j>b  
         tt = "ac_y_bd_n" !"HO]3-o  
      ElseIf p1x <> p3x And p2x <> p4x Then h58`XH  
         tt = "ac_y_bd_y" @Owb?(6?  
      End If .zA^)qgL  
    Select Case tt sT3^hY7  
         Case "ac_n_bd_y" zT=Ho   
            'bd线段方程 YSr9VpqWV  
            k_bd = bdy / bdx [;4g  
            b_bd = p2y - k_bd * p2x gn8R[5:!V  
            p_x = p1x #|Y5,a,{  
            p_y = k_bd * p_x + b_bd [w>$QR  
         Case "ac_y_bd_n" 3
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            'ac线段方程 ] bM)t<  
            k_ac = acy / acx \rx3aJl  
            b_ac = p1y - k_ac * p1x / ;$#d}R  
            p_x = p2x 1tEgl\u\  
            p_y = k_ac * p_x + b_ac Fsmycr!R  
        Case "ac_y_bd_y" 9_
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           'ac，bd线段都要求 dsb`xw  
           k_ac = acy / acx -[*,^Ti`  
           b_ac = p1y - k_ac * p1x Yl4^AR&  
           k_bd = bdy / bdx 4x{0iav  
           b_bd = p2y - k_bd * p2x 'DY`jVwa  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) N=4G=0 `ke  
           p_y = k_ac * p_x + b_ac 5gb|w\N>  
        End Select PlU*X8  
      rt(1) = p_x <{dVKf,e  
      rt(2) = p_y n
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     ,0~^>K  
'计算最大半径 '-r).Xk  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) ^nT/i .#_  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) !*s?B L  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) ~ZmN44?R  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) :8L8q<U  
Dim bb(5) As Single }6p@lla,%]  
  bb(1) = rr1 F|d\k Q
 
  bb(2) = rr2 i2@VB6]?  
  bb(3) = rr3 #+:9T/*>0  
  bb(4) = rr4 =}lh_  
  nb = rr1 X\]L=>]C  
For i = 1 To 4 \kp8S'qVo  
    If nb <= bb(i) Then j| v%)A  
       nb = bb(i) t9,\Hdo  
    End If Ee)T1~;W  
Next i #^`4DhQ/ 1  
    rt(0) = Sqr(nb) o9|nJ;  
    rr = rt() J ][T"K  
  End If j|4<i9^}  
         ?zeJ#i  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  _,zA ^*b  

Scp7X7{N  
有热压工艺方面的人才或者资料分享下； ^g*pGrl#  
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 oE<`VY|  

高手真多！

楼主威武霸气.