[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： o:3(J}  
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关键点说几个： mXS]SE  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） %la1-r~  
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 PeqW+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 ^?sP[;8S!  

以下是几个重要的函数： GbZ~eI`,2  
1.判断点在区域中函数 p8)R#QWz9  
2.计算夹角函数 IpSWg  
3.转置函数 :b %2qBv  
4.得到区域中心点，及区域半径函数 |mHf7gCX  
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） 8Q)|8xpYS  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 gt(p%~  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single MusUgBQy  
   cax = x2 - x1 1;S?9N_B  
   cay = y2 - y1 z~~pH9=c2  
   cbx = x2 - x3 \~+b&  
   cby = y2 - y3 Eri007?D  
   mo_jj = cax * cbx + cay * cby
P!IA;i  
   mo_ca = Sqr(cax * cax + cay * cay) K\fD';  
   mo_cb = Sqr(cbx * cbx + cby * cby) jN*w
bqL  
   cos_acb = mo_jj / (mo_ca * mo_cb) jXALL8[c  
   'ff_cos = cos_acb -qaO$M^Q  
   If cos_acb >= 1 Then ]cS(2hP7  
   nn = 0 *c/V('D/  
   ElseIf cos_acb <= -1 Then ji\LC%U-  
   nn = 3.14159265258979 h^Yh~84T  
   Else H?Q--pG8  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) #5{xWMp/0  
   End If *n&Sd~Mg  
   'ff_angle = nn phf{b+'#X  
   ff_angle = nn * 180 / 3.14159265258979 \mJR^t  
End Function

'判断点在区域内函数 
wXqwb|2  
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 IZLCwaW  
Dim aob, boc, cod, doa, sum As Single :{Z%dD  
  If ppx = p1x And ppy = p1y Then HpIi-Es7C  
     point_in = True 5EI"5&`*  
     Exit Function C(B"@   
  End If P, l (4  
  If ppx = p2x And ppy = p2y Then =1R 2`H\  
     point_in = True HDzeotD  
     Exit Function ^OIo  
  End If V(0Y   
   If ppx = p3x And ppy = p3y Then 8,RqhT)2#  
     point_in = True h>
[ qXz  
     Exit Function Hmhsb2`\  
  End If piIzff  
     L&:A59)1k  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) Viw,YkC  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) >!" Sr3,L  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) rDoMz3[w  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) iiJT%Zq`#  
    sum = aob + boc + cod + doa 8,vP']4r%  
    If 360.01 > sum And sum > 359.99 Then -@#],s7  
       point_in = True ;Wk3>\nT-  
    Else z@\mn  
       point_in = False E)jd>"  
    End If A=|a!N/  
End Function

'得到点半径,得到交点坐标函数 +cmi?~KS*  
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() X_D-K F  
    '求得中心点坐标 Xf7]+  
Dim tt As String 30Qp:_D  
Dim rt(3) As Single ]K>bSK^TX  
    '判断是否平行 o::9M_;  
   acx = p3x - p1x f!5w+6(  
   acy = p3y - p1y zlQBBm;fE  
   bdx = p4x - p2x lcReRcjm  
   bdy = p4y - p2y 5pY|RV6:  
   If acx * bdy = acy * bdx Then -OD&x%L*{3  
      rt(0) = 0 N:+EGmp  
      Exit Function hmuhq:<f  
   Else !~'D;Jh  
      '判断斜率存在否 $w-@Oa*h9U  
      If p1x = p3x And p2x <> p4x Then v<l]K$5J&  
         tt = "ac_n_bd_y" '4~I%Z7L  
      ElseIf p1x <> p3x And p2x = p4x Then M($GZ~ b%A  
         tt = "ac_y_bd_n" ?g@X+!RB  
      ElseIf p1x <> p3x And p2x <> p4x Then /.A"HGAk  
         tt = "ac_y_bd_y" &%/T4$'+Y+  
      End If e F}KOOfC  
    Select Case tt DXO'MZon3  
         Case "ac_n_bd_y" UEYJd&n0CB  
            'bd线段方程 z/QYy)_j  
            k_bd = bdy / bdx 0/7.RpX,.  
            b_bd = p2y - k_bd * p2x f qWme:x  
            p_x = p1x k_?OEkgUh  
            p_y = k_bd * p_x + b_bd \{a5]G(4s  
         Case "ac_y_bd_n" }>621L3 -  
            'ac线段方程 g@/}SJh/>  
            k_ac = acy / acx 5t_Dt<lIz  
            b_ac = p1y - k_ac * p1x Rd]<591  
            p_x = p2x <)sL8G9Y  
            p_y = k_ac * p_x + b_ac ^vxNS[C`;  
        Case "ac_y_bd_y" e(b$L
UV  
           'ac，bd线段都要求 ]EDCs?,  
           k_ac = acy / acx
\xC#Zs[<  
           b_ac = p1y - k_ac * p1x OBF-U]?Y  
           k_bd = bdy / bdx w6Mv%ZO_  
           b_bd = p2y - k_bd * p2x u:l<NWF^  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) SXJjagAoML  
           p_y = k_ac * p_x + b_ac |_+l D|'  
        End Select >T0`( #Lm  
      rt(1) = p_x CMv8n@r
y  
      rt(2) = p_y H`q[!5~8  
     JlRNJ#h>  
'计算最大半径 ~P~q'  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) H%Lln#  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) _E6N*ORV  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) RVs=s}|>*  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) Q6 m.yds  
Dim bb(5) As Single }mUb1b  
  bb(1) = rr1 ,TB$D]u8  
  bb(2) = rr2 -'*<;]P+.
 
  bb(3) = rr3 p
lJUQk  
  bb(4) = rr4 cb{"1z  
  nb = rr1 [!uVo>Q4  
For i = 1 To 4 AqaMi  
    If nb <= bb(i) Then QX=x^(M$m  
       nb = bb(i) c"1Z,M;G  
    End If m] -cRf)9  
Next i p_EM/jI,  
    rt(0) = Sqr(nb) n:1Ijh 1  
    rr = rt() S9%,{y  
  End If AA=eWg  
         91q  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  C])s'XTs  

\]5I atli  
有热压工艺方面的人才或者资料分享下； QKlsBq  
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 NX.5u8Pf  

高手真多！

楼主威武霸气.