[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： $hjP}- oUX  
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关键点说几个： \{c,,th  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） lx\qp`w  
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 ?EI'^xg  
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 W@I 02n2H  

以下是几个重要的函数： 
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1.判断点在区域中函数 A2m_q>> !  
2.计算夹角函数 &qJPwO  
3.转置函数 ;% 2wGT  
4.得到区域中心点，及区域半径函数 s%eyW _  
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） P!kw;x  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 \[:PykS  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single v @:~mwy  
   cax = x2 - x1 P Q7A~dw9  
   cay = y2 - y1 _`H.h6h  
   cbx = x2 - x3 &e5(Djz8t  
   cby = y2 - y3 |+>uA[6#  
   mo_jj = cax * cbx + cay * cby ))!Bg?t-  
   mo_ca = Sqr(cax * cax + cay * cay) g%ubvu2t]  
   mo_cb = Sqr(cbx * cbx + cby * cby) MR`:5e  
   cos_acb = mo_jj / (mo_ca * mo_cb) dd]?9  
   'ff_cos = cos_acb 7_-w_"X  
   If cos_acb >= 1 Then VZ$=6CavH  
   nn = 0 7W"/N#G  
   ElseIf cos_acb <= -1 Then [r(Qs|  
   nn = 3.14159265258979 Bs[nV}c>>  
   Else 9Gca6e3  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) /RGNAHtIi  
   End If g?B3!,!9  
   'ff_angle = nn rz6uDJ"  
   ff_angle = nn * 180 / 3.14159265258979 ] /+D^6  
End Function

'判断点在区域内函数 . V$ps-t  
Function point_in(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single, ppx As Single, ppy As Single) As Boolean RsW9:*R  
Dim aob, boc, cod, doa, sum As Single BYi)j6"  
  If ppx = p1x And ppy = p1y Then p~2UUmV  
     point_in = True ;#TaZN  
     Exit Function @b2`R3}9R  
  End If `2`fiKm  
  If ppx = p2x And ppy = p2y Then T$KF< =  
     point_in = True Q/ZkW  
     Exit Function =oX>Ph+ P  
  End If 3$VxRz)  
   If ppx = p3x And ppy = p3y Then ;gMgj$mI  
     point_in = True ?7jg(`Yh  
     Exit Function H2
;X  
  End If Z)pz,  
     ymWgf6r<  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) e}0:"R%E  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) )4R:)-"f  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) auHFir8f  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) /qU>5;  
    sum = aob + boc + cod + doa dRI^@n  
    If 360.01 > sum And sum > 359.99 Then BI2; ex  
       point_in = True @*MC/fe  
    Else p@YB?#Im  
       point_in = False 15{Y9
!  
    End If :!fG; )
=  
End Function

'得到点半径,得到交点坐标函数 FP^{=0  
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() ' GG=Ebt  
    '求得中心点坐标 7v7G[n  
Dim tt As String 7@}$|u:JUF  
Dim rt(3) As Single |o<8}Nja6  
    '判断是否平行 al&(-#1  
   acx = p3x - p1x rw7_5l  
   acy = p3y - p1y 4~z?"  
   bdx = p4x - p2x &<pKx!  
   bdy = p4y - p2y 3WY$WRv  
   If acx * bdy = acy * bdx Then aqU' T  
      rt(0) = 0 zsXoBD\h  
      Exit Function v"^~&q0x  
   Else J;$N{"M  
      '判断斜率存在否 ww k PF  
      If p1x = p3x And p2x <> p4x Then oslJC$cy'  
         tt = "ac_n_bd_y" SP]I
UdE\  
      ElseIf p1x <> p3x And p2x = p4x Then wJ<Oo@snm  
         tt = "ac_y_bd_n" vhu
w&.\  
      ElseIf p1x <> p3x And p2x <> p4x Then zTbVp8\pI  
         tt = "ac_y_bd_y" ,Gk}"w  
      End If v%{.A)  
    Select Case tt TXXy\$  
         Case "ac_n_bd_y" 6 sxffJt  
            'bd线段方程 qmy%J  
            k_bd = bdy / bdx Mwp$  
            b_bd = p2y - k_bd * p2x 3q:n'PC)C  
            p_x = p1x K+=+?~  
            p_y = k_bd * p_x + b_bd %ir:ASk  
         Case "ac_y_bd_n" YW\0k5[  
            'ac线段方程 X[gn+6WB%  
            k_ac = acy / acx 6x)$Dl  
            b_ac = p1y - k_ac * p1x J[~5U~F  
            p_x = p2x R9rj/Co  
            p_y = k_ac * p_x + b_ac 2F#q I1  
        Case "ac_y_bd_y" z+a%5J  
           'ac，bd线段都要求 )u]9193  
           k_ac = acy / acx Y
wY74w:  
           b_ac = p1y - k_ac * p1x ENF"c$R  
           k_bd = bdy / bdx jw}}^3.  
           b_bd = p2y - k_bd * p2x r|e-<t4.9L  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) ((tv2  
           p_y = k_ac * p_x + b_ac hN2:d1f0  
        End Select :'F}Dy  
      rt(1) = p_x m!z|h9Ed  
      rt(2) = p_y Eodn/  
     G$0c'9d*(  
'计算最大半径 ^.k |SK`U  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) p!O(Y6QM  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) {j5e9pg1L|  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) `U#55k9^5  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) ##Q/I|  
Dim bb(5) As Single 1i:|3PA~  
  bb(1) = rr1 +YLejjQ  
  bb(2) = rr2 uXDq~`S  
  bb(3) = rr3 hQ6a~?f  
  bb(4) = rr4 N,2s?Y_!  
  nb = rr1 :l7U>~ o  
For i = 1 To 4 =[\s8XH,  
    If nb <= bb(i) Then m-^8W[r+_  
       nb = bb(i) OouPj@r  
    End If r78TE@d  
Next i ]?x: Qm'yo  
    rt(0) = Sqr(nb) cLPkK3O\=  
    rr = rt() t5)+&I
2  
  End If oI)GKA_Ng7  
         Yt|6 X:l  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  ;j4?>3  

nu'M 39{  
有热压工艺方面的人才或者资料分享下； 'uq#ai[5I  
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 eds26(  

高手真多！

楼主威武霸气.