[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： SV\x2^Ea0  
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图片:2.jpg

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关键点说几个： S|>Up%{n[  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） ?xf;#J+{8  
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 .e"jnP~  
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 Zgg7pL)#c  

以下是几个重要的函数： 8uGPyH  
1.判断点在区域中函数 ?}]kIK}MC  
2.计算夹角函数 hL3,/^;E,  
3.转置函数 XeB>V.<y  
4.得到区域中心点，及区域半径函数 $3[cBX.=  
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） DdQf%W8u  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 -+9x 0-P  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single qE`=^  
   cax = x2 - x1 wqwJpWIe  
   cay = y2 - y1 kr*c?^b  
   cbx = x2 - x3 Ad,r(0a LZ  
   cby = y2 - y3 9kF#*  
   mo_jj = cax * cbx + cay * cby E&>,B81
  
   mo_ca = Sqr(cax * cax + cay * cay) Me}TW!GC  
   mo_cb = Sqr(cbx * cbx + cby * cby) L@z !,r,  
   cos_acb = mo_jj / (mo_ca * mo_cb) jzj{{D[^  
   'ff_cos = cos_acb NqZRS>60v  
   If cos_acb >= 1 Then bF KPV%`  
   nn = 0 C^%zV>o  
   ElseIf cos_acb <= -1 Then bSr 'ji  
   nn = 3.14159265258979 [[e|GQ  
   Else 
#c^Q<&B  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) ZmULy;{<)  
   End If 4v|/+J6G  
   'ff_angle = nn ZW?7g+P  
   ff_angle = nn * 180 / 3.14159265258979 VRX" @uCD  
End Function

'判断点在区域内函数 }o^A^
 
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 -m160k3  
Dim aob, boc, cod, doa, sum As Single w`}9/s;$  
  If ppx = p1x And ppy = p1y Then KupMndK  
     point_in = True YC]YX
H  
     Exit Function aEDN]O95?  
  End If nr>{ uTa  
  If ppx = p2x And ppy = p2y Then Q$)|/Y))  
     point_in = True vSYKe  
     Exit Function b|dCEmFt  
  End If qd+[ShrhqZ  
   If ppx = p3x And ppy = p3y Then _GO+fB/Q1  
     point_in = True {1MGb%xW  
     Exit Function bV`C;RPn  
  End If q{GSsDo-:V  
     sJb)HQ,7x  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 9*KMbd^T  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) )_v\{N  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) A,gx5!J  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) ZB[(Tv1  
    sum = aob + boc + cod + doa fhV0S>*<  
    If 360.01 > sum And sum > 359.99 Then qijcS2E6S  
       point_in = True P;[Y42\z|  
    Else 'yd@GQM&  
       point_in = False nnE_OK!}T  
    End If 5ttMua <G?  
End Function

'得到点半径,得到交点坐标函数 BMNr<P2li  
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() j`R<90~/  
    '求得中心点坐标 xHB/]Vd-  
Dim tt As String '_qQrP#  
Dim rt(3) As Single (a `FS,M  
    '判断是否平行 nG"n-$A?<  
   acx = p3x - p1x pDq#8*q+v  
   acy = p3y - p1y qWO]s=V!  
   bdx = p4x - p2x k(EMp1[:nN  
   bdy = p4y - p2y mF'-Is  
   If acx * bdy = acy * bdx Then mP pvZ  
      rt(0) = 0 -\kXH"%  
      Exit Function |mxNUo-  
   Else 0||"r&:X  
      '判断斜率存在否 0/\PZX+  
      If p1x = p3x And p2x <> p4x Then YOV :  
         tt = "ac_n_bd_y" ivzAlwP  
      ElseIf p1x <> p3x And p2x = p4x Then W|dpFh`  
         tt = "ac_y_bd_n" `l/:NF  
      ElseIf p1x <> p3x And p2x <> p4x Then _BV`,`8}  
         tt = "ac_y_bd_y" 3;a R\:p@w  
      End If =4tO0  
    Select Case tt H`m:X,6}
 
         Case "ac_n_bd_y" l"J*
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            'bd线段方程 yGiP[d|tRc  
            k_bd = bdy / bdx k6Ihc?HL  
            b_bd = p2y - k_bd * p2x ;8P_av}C  
            p_x = p1x
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            p_y = k_bd * p_x + b_bd p jKt:R}  
         Case "ac_y_bd_n" $PSY:Zz  
            'ac线段方程 TDlZ!$g(  
            k_ac = acy / acx N = LM?(H
 
            b_ac = p1y - k_ac * p1x XFW5AP  
            p_x = p2x 6&89~W{  
            p_y = k_ac * p_x + b_ac A&?}w_|9  
        Case "ac_y_bd_y" i&`!|X-=R  
           'ac，bd线段都要求 3Y z]8`C  
           k_ac = acy / acx =m}TU)4.  
           b_ac = p1y - k_ac * p1x Lt1U+o[ot  
           k_bd = bdy / bdx ll^DY hx}  
           b_bd = p2y - k_bd * p2x L[9OVD  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 1SW4Y  
           p_y = k_ac * p_x + b_ac 2;G98H  
        End Select <cYp~e%xIw  
      rt(1) = p_x a3q\<"|  
      rt(2) = p_y U98_M)-%&  
     kMy<G8 s  
'计算最大半径 8xgJSk  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) v~"Ef_`  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 9x=3W?K:,  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) &Yp+k}XU  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) {FWyu5.  
Dim bb(5) As Single :N

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  bb(1) = rr1
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  bb(2) = rr2 K;x~&G0=  
  bb(3) = rr3 2F1ZAl  
  bb(4) = rr4 W;q+,Io  
  nb = rr1 ibJl;sJ
 
For i = 1 To 4 QY@u}&m%o  
    If nb <= bb(i) Then &<Mt=(qY1  
       nb = bb(i) nq'M?c#E  
    End If XA1f' Kk  
Next i zPVd(V~(T  
    rt(0) = Sqr(nb) 'M8aW!~  
    rr = rt() WSLy}@`Vx  
  End If 1}!L][(  
         Z:@6Lv?CN  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  9V 0}d2d  

H?
`g!cX  
有热压工艺方面的人才或者资料分享下； aeP[+I9  
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 9&Ne+MY^%  

高手真多！

楼主威武霸气.