[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： 6g-jhsW6  
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c= 2E/x?  

关键点说几个： WuVs
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1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） ;Uch  
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 ?z)
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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 q#Otp\f  

以下是几个重要的函数： dG3?(}p+  
1.判断点在区域中函数 mq<:^  
2.计算夹角函数 jMWTNZ  
3.转置函数 OvdBUcp[  
4.得到区域中心点，及区域半径函数 :1'1
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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） h Q Att  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 _n*gj-  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single 5*"WS $  
   cax = x2 - x1 UBwYwm0  
   cay = y2 - y1 z1e+Ob&  
   cbx = x2 - x3 iee`Yg!EOH  
   cby = y2 - y3 i[U=-4 J  
   mo_jj = cax * cbx + cay * cby F0'o!A#|(  
   mo_ca = Sqr(cax * cax + cay * cay) \<=.J`o{  
   mo_cb = Sqr(cbx * cbx + cby * cby) j,_{f =3;  
   cos_acb = mo_jj / (mo_ca * mo_cb) |[bQJ<v6  
   'ff_cos = cos_acb &M\qVL%w  
   If cos_acb >= 1 Then \Zk<|T61$  
   nn = 0 ijNI6_eU  
   ElseIf cos_acb <= -1 Then 1kc{`oL  
   nn = 3.14159265258979 n<[H!4  
   Else '(:R-u!pp  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) G|$n,X1O(  
   End If T6,6lll  
   'ff_angle = nn >&qaT*_g  
   ff_angle = nn * 180 / 3.14159265258979 BGT`) WP  
End Function

'判断点在区域内函数 =~j S  
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 -F-,
Gcos  
Dim aob, boc, cod, doa, sum As Single t9kqX(!  
  If ppx = p1x And ppy = p1y Then
4vPKDd  
     point_in = True B\7 80p<  
     Exit Function ]FO)U  
  End If v.]W{~PI2V  
  If ppx = p2x And ppy = p2y Then )RwO2H  
     point_in = True 8F`799[p  
     Exit Function .*w3ryQ  
  End If |G>Lud
 
   If ppx = p3x And ppy = p3y Then "C%* 'k  
     point_in = True Z|Xv_Xo|4  
     Exit Function "/U~j4O  
  End If GI*2*m!u  
     >!2d77I  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 0\^K\J,.  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) EY 9N{  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) r*s)T`T}}  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) +aIy':P  
    sum = aob + boc + cod + doa nHi6$} I  
    If 360.01 > sum And sum > 359.99 Then g JMv  
       point_in = True z}m)u  
    Else *6%r2l'kZ  
       point_in = False q'awV5y  
    End If % 2lcc"'  
End Function

'得到点半径,得到交点坐标函数 PXYo@^ 3  
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() 0Bpix|mq  
    '求得中心点坐标 B}y-zj;T  
Dim tt As String $w$
4RQk3n  
Dim rt(3) As Single RGim):1e  
    '判断是否平行 m^)h/
s0A  
   acx = p3x - p1x n7S~nk  
   acy = p3y - p1y R\wG3Oxol  
   bdx = p4x - p2x aBLE:v  
   bdy = p4y - p2y ( nH3  
   If acx * bdy = acy * bdx Then |F 18j9  
      rt(0) = 0 yr /p3ys  
      Exit Function isP4*g&%x  
   Else )0:@
T)G  
      '判断斜率存在否 { +%S{=j  
      If p1x = p3x And p2x <> p4x Then :8~*NSEFd  
         tt = "ac_n_bd_y" 8HyK;+ZkVd  
      ElseIf p1x <> p3x And p2x = p4x Then &<P!o_+eb  
         tt = "ac_y_bd_n" 3Yd
)Fm  
      ElseIf p1x <> p3x And p2x <> p4x Then QxmVImn"  
         tt = "ac_y_bd_y" MyOdWD&7  
      End If F_$K+6  
    Select Case tt Tl!}9/Q5E:  
         Case "ac_n_bd_y" m"!!)
 
            'bd线段方程 nO~TW  
            k_bd = bdy / bdx 2EOt.4cP  
            b_bd = p2y - k_bd * p2x '~E&^K5hr  
            p_x = p1x By8C-jD  
            p_y = k_bd * p_x + b_bd uL!{xuN  
         Case "ac_y_bd_n" MOFIR wVZ+  
            'ac线段方程 ^AUmIyf_  
            k_ac = acy / acx SZCFdb  
            b_ac = p1y - k_ac * p1x sYt8NsQ  
            p_x = p2x @^vVou_  
            p_y = k_ac * p_x + b_ac Vl!Z|}z  
        Case "ac_y_bd_y" ipEsR/O  
           'ac，bd线段都要求 D'>yu"  
           k_ac = acy / acx 1e;^MzB"  
           b_ac = p1y - k_ac * p1x Zjt3U;Y
 
           k_bd = bdy / bdx j"E_nV:Qc  
           b_bd = p2y - k_bd * p2x j0k"iv  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 9z,?DBMvc  
           p_y = k_ac * p_x + b_ac zb}:wUR  
        End Select *N$#cz  
      rt(1) = p_x N"b>]Ab] ;  
      rt(2) = p_y bgd1j,PWbW  
     d;ElqRC&  
'计算最大半径 YXJjqH3  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) <BQ4x.[  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) #nc{MR#R  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) O1@xF9<  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) iuq-M?1  
Dim bb(5) As Single S*:b\{[f>  
  bb(1) = rr1 #`/KF_a3\>  
  bb(2) = rr2 :JqH.Sqk  
  bb(3) = rr3 4ow)vS(  
  bb(4) = rr4 <Ja>  
  nb = rr1 !h2ZrT9 _  
For i = 1 To 4 P}H7
WH  
    If nb <= bb(i) Then "!gd)^<e  
       nb = bb(i) 2_0OSbFv'P  
    End If u(?  
Next i dKw*L|5  
    rt(0) = Sqr(nb) 0vUX^<  
    rr = rt() <?,o {  
  End If :a3Pnq$]E  
         mz[rB|v"/7  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  ~(aQ!!H6  

{v}f/cu  
有热压工艺方面的人才或者资料分享下； )
dbi  
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 NQ_H-D\,  

高手真多！

楼主威武霸气.