[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： >:=|L%]s;\  
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8@NH%zWBp  

关键点说几个： fAZiC+  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） 1>Q{Gs^  
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 C8a*Q"  
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 _ >`X]I;  

以下是几个重要的函数： )o!XWh  
1.判断点在区域中函数 P)dL?vkK  
2.计算夹角函数
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3.转置函数 ch5s<x#CE  
4.得到区域中心点，及区域半径函数 j?b\+rr  
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） \qi
|Js*{  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 #G9 adK5  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single ]IJRnVp%  
   cax = x2 - x1 x0a.!  
   cay = y2 - y1 r%Rs0)$yj  
   cbx = x2 - x3 {|9}+ @5Q1  
   cby = y2 - y3 }~Q"s2  
   mo_jj = cax * cbx + cay * cby 9ykM3  
   mo_ca = Sqr(cax * cax + cay * cay) 9^P2I)aD  
   mo_cb = Sqr(cbx * cbx + cby * cby) +.[\g|G  
   cos_acb = mo_jj / (mo_ca * mo_cb) #s5 pz8v  
   'ff_cos = cos_acb {>0V[c[~  
   If cos_acb >= 1 Then 89o)M5KQ  
   nn = 0 ,1Qd\8N9  
   ElseIf cos_acb <= -1 Then %u?HF4S'  
   nn = 3.14159265258979 ,]R8(bD)  
   Else X fz`^x>M  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 9?+9UlJ7K  
   End If OH<?DcfeL  
   'ff_angle = nn JM0I(%Z%  
   ff_angle = nn * 180 / 3.14159265258979 {u7##Vrgt8  
End Function

'判断点在区域内函数 ~4.r^)\  
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 "u}9@}*  
Dim aob, boc, cod, doa, sum As Single }{7e7tW6  
  If ppx = p1x And ppy = p1y Then c yQ(fIYl  
     point_in = True ']51jabm  
     Exit Function #?}6t~  
  End If g=]&A  
  If ppx = p2x And ppy = p2y Then E|Bd>G  
     point_in = True c $;\i  
     Exit Function vfvlB[  
  End If T!q_/[i~7  
   If ppx = p3x And ppy = p3y Then TZ^LA L'8_  
     point_in = True _rQUE
^9  
     Exit Function kL{;.WsB  
  End If t\U$8l_;  
     ;M v~yb3v  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) @ "d2.h  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) ?z`MPdO  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) _45cH{$sA  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) fhpX/WE6  
    sum = aob + boc + cod + doa C;1PsSE+A  
    If 360.01 > sum And sum > 359.99 Then %j]STD.E  
       point_in = True N}/>rD  
    Else gzfbzt}?  
       point_in = False J2Et-Cz1  
    End If QrjDF>   
End Function

'得到点半径,得到交点坐标函数 o\4t4}z~'f  
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() L4974E?S  
    '求得中心点坐标 l)}t,!M6  
Dim tt As String eqzTQen8q  
Dim rt(3) As Single X\2_;zwf  
    '判断是否平行 ,7/ _T\d<  
   acx = p3x - p1x ?iSGH'[u  
   acy = p3y - p1y 7c1+t_Ew  
   bdx = p4x - p2x -ut=8(6&  
   bdy = p4y - p2y MQ
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   If acx * bdy = acy * bdx Then g{ (@uzqG  
      rt(0) = 0 Zw=G@4xoU  
      Exit Function 8=H\?4)()Y  
   Else h)B!LAr  
      '判断斜率存在否 3ut_Bt\  
      If p1x = p3x And p2x <> p4x Then ZJXqCo7O  
         tt = "ac_n_bd_y" Kdt|i93  
      ElseIf p1x <> p3x And p2x = p4x Then _ VKgs]Y  
         tt = "ac_y_bd_n" gRvJ.Q{h  
      ElseIf p1x <> p3x And p2x <> p4x Then z[#6-T &  
         tt = "ac_y_bd_y" >ZCo 8aK  
      End If !LSs9_w  
    Select Case tt }MZan" cfo  
         Case "ac_n_bd_y" 2ij/N%
l  
            'bd线段方程 BR3mAF  
            k_bd = bdy / bdx 0VG=?dq  
            b_bd = p2y - k_bd * p2x 75Fp[Q-  
            p_x = p1x YRa4W.&Yn  
            p_y = k_bd * p_x + b_bd Sr7@buF  
         Case "ac_y_bd_n" nZW4}~0j  
            'ac线段方程 &q>h*w4O  
            k_ac = acy / acx &wGg6$  
            b_ac = p1y - k_ac * p1x m.146  
            p_x = p2x %Rn:GK  
            p_y = k_ac * p_x + b_ac vahf]2jEB  
        Case "ac_y_bd_y" ]L]T>~X`  
           'ac，bd线段都要求 "'aqb~j^  
           k_ac = acy / acx KZ\dB;W<|  
           b_ac = p1y - k_ac * p1x S~&\o\"5  
           k_bd = bdy / bdx =tq7z =k  
           b_bd = p2y - k_bd * p2x 7,su f }=  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) o[{&!t  
           p_y = k_ac * p_x + b_ac /$*; >4=>f  
        End Select t'Htx1#Zc[  
      rt(1) = p_x 7jR7  
      rt(2) = p_y :~r#LRgc  
     [Yoa"K  
'计算最大半径 Ns
~g+C9  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) 5=.7\#D  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) % &+|==-  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 8!6<p[_  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) g5<ZS3tQ  
Dim bb(5) As Single A?sNXhh  
  bb(1) = rr1 yUj;4vd  
  bb(2) = rr2 B{4"$Mi  
  bb(3) = rr3 w*2^/zh  
  bb(4) = rr4 j,ZW[*M  
  nb = rr1 -g$OOJB6  
For i = 1 To 4 Yoe les-  
    If nb <= bb(i) Then * S{\#s  
       nb = bb(i) QS%,7'EG  
    End If &0i71!Oy  
Next i m^Rd Iy)  
    rt(0) = Sqr(nb) o] S`+ZcV  
    rr = rt() (Z'WR  
  End If HMQ'b(a'  
         J;"nm3[.q  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  [u,hc/PL  

LuQ"E4;nY%  
有热压工艺方面的人才或者资料分享下； ocb%&m;i  
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 A73V6"  

高手真多！

楼主威武霸气.