[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： gT22!  
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图片:2.jpg

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关键点说几个： {f3&s4xj=  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） Hr |De8#f  
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 y w)q3zC  
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 6r4o47_t8#  

以下是几个重要的函数： ?&W1lYY  
1.判断点在区域中函数 AQ:cim`  
2.计算夹角函数 zA4m !l*eM  
3.转置函数 %T4htZa  
4.得到区域中心点，及区域半径函数 ?9hw]Q6r}  
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） /^v?Q9=Y  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 8q*MhH>6I  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single >Q':+|K}  
   cax = x2 - x1 *<?or"P  
   cay = y2 - y1 4X,fb`  
   cbx = x2 - x3 ckFnQhW  
   cby = y2 - y3 h$7rEs  
   mo_jj = cax * cbx + cay * cby 
gRA}sF  
   mo_ca = Sqr(cax * cax + cay * cay) PI@/jh  
   mo_cb = Sqr(cbx * cbx + cby * cby) Mr'P0^^  
   cos_acb = mo_jj / (mo_ca * mo_cb) QB p`r#{I{  
   'ff_cos = cos_acb MN1 kR  
   If cos_acb >= 1 Then <8Y;9N|94!  
   nn = 0 &iCE/
  
   ElseIf cos_acb <= -1 Then 
)f(.{M  
   nn = 3.14159265258979 ljg2P5  
   Else FRa@TN/Ic  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) <j"}EEb^  
   End If mv9k_7<  
   'ff_angle = nn S0?4}7`A  
   ff_angle = nn * 180 / 3.14159265258979 -+fbK/  
End Function

'判断点在区域内函数 $50rj  
Function point_in(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single, ppx As Single, ppy As Single) As Boolean D4 {?f<G0F  
Dim aob, boc, cod, doa, sum As Single Fe8JsB-  
  If ppx = p1x And ppy = p1y Then c32IO&W4  
     point_in = True  !]]QbB  
     Exit Function [KrWL;[1<  
  End If hT:+x3  
  If ppx = p2x And ppy = p2y Then J[E_n;d1  
     point_in = True %jaB>4.A:  
     Exit Function B&^WRM;7t  
  End If cBICG",TA  
   If ppx = p3x And ppy = p3y Then m8KJ~02l#  
     point_in = True ::13$g=T9s  
     Exit Function w`Q"mx*  
  End If CNwYQe-i  
     / S  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) b~F(2[o  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) scmn-4j'{  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) mmk]Doy?#  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 
D(3\m)  
    sum = aob + boc + cod + doa yn&AMq ]o  
    If 360.01 > sum And sum > 359.99 Then X r7pFw  
       point_in = True Q y(Gy'q~  
    Else |$[WnYP  
       point_in = False ]y&w)-0  
    End If Fua:& 77  
End Function

'得到点半径,得到交点坐标函数 j.C)KwelBS  
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() /Mq]WXq[V  
    '求得中心点坐标  U)oH@/q  
Dim tt As String x;H#-^LxW=  
Dim rt(3) As Single npcB+6  
    '判断是否平行 p#vZYwe=L  
   acx = p3x - p1x HVb9YU+  
   acy = p3y - p1y S<n3wR"^  
   bdx = p4x - p2x z4l
O  
   bdy = p4y - p2y H^jFvAI,8  
   If acx * bdy = acy * bdx Then ucm3'j  
      rt(0) = 0 tPO\e]  
      Exit Function ?3:OPP`s  
   Else 2u9^ )6/  
      '判断斜率存在否 nquKeH  
      If p1x = p3x And p2x <> p4x Then p/V  
         tt = "ac_n_bd_y" 1](5wK-Z  
      ElseIf p1x <> p3x And p2x = p4x Then nJ/wtw  
         tt = "ac_y_bd_n" YT;b$>1v  
      ElseIf p1x <> p3x And p2x <> p4x Then jRz2l`~7#  
         tt = "ac_y_bd_y" ZdQm&?  
      End If \'( @{  
    Select Case tt KMz\h2X  
         Case "ac_n_bd_y" `!MyOI`qS  
            'bd线段方程 OHnHSb'?\  
            k_bd = bdy / bdx <j1l&H|ux,  
            b_bd = p2y - k_bd * p2x \Cx) ~bq<  
            p_x = p1x rI&GM |  
            p_y = k_bd * p_x + b_bd $[VeZ-  
         Case "ac_y_bd_n" 7Dy\-9:v  
            'ac线段方程 +Ux)m4}j  
            k_ac = acy / acx 9IL#\:d1  
            b_ac = p1y - k_ac * p1x S=O/W(ZB  
            p_x = p2x qB3{65  
            p_y = k_ac * p_x + b_ac L
V:oNK(  
        Case "ac_y_bd_y" .v
RLK  
           'ac，bd线段都要求 STgl{#
 
           k_ac = acy / acx 8$avPD3jx  
           b_ac = p1y - k_ac * p1x Xu#\CYk  
           k_bd = bdy / bdx 7BCCQsz<  
           b_bd = p2y - k_bd * p2x qE6:`f  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 8VvoPlo  
           p_y = k_ac * p_x + b_ac y(|6`  
        End Select b?-%Uzp<  
      rt(1) = p_x oS)0,p  
      rt(2) = p_y Z,o*M#}  
     e,Xvt5  
'计算最大半径 {+f@7^/i.  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) EWN$ILdD  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) ,=lMtW  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) /_rAy  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) '#<?QE!d2  
Dim bb(5) As Single  TyMRm  
  bb(1) = rr1 daBu<0\  
  bb(2) = rr2 rWbuoG+8  
  bb(3) = rr3 '{kN
XCnZ  
  bb(4) = rr4 \s;]Tg  
  nb = rr1 gcr,?rE<  
For i = 1 To 4 E66e4?"  
    If nb <= bb(i) Then Y',s|M1})\  
       nb = bb(i) IoNZ'g?d  
    End If ?n/:1LN,  
Next i r&"}zyL  
    rt(0) = Sqr(nb) `Oys&]vb  
    rr = rt() D_O%[u
}  
  End If oUZwZ_yKW  
         xZFha=#  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  ,X$S4>  

ixiRFBUcF~  
有热压工艺方面的人才或者资料分享下； HW.S~eLw*  
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 DKIDLf  

高手真多！

楼主威武霸气.