[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： 7x@A%2J  
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图片:2.jpg

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关键点说几个： svq<)hAf<  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） D}mjN=Y  
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 6*3.SGUY  
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 bLwAXW2K+  

以下是几个重要的函数： ^Gq
t+K%  
1.判断点在区域中函数 /%;mqrdk  
2.计算夹角函数 lhBT@5Dm9  
3.转置函数 &8vCZN^  
4.得到区域中心点，及区域半径函数 ?]}8o}G  
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） tQBRA/  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 H{=21\a\  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single 70eb]\%  
   cax = x2 - x1 @*6 C=LL  
   cay = y2 - y1 G1o3l~x  
   cbx = x2 - x3 (aH'h1,G  
   cby = y2 - y3 /JWGifH  
   mo_jj = cax * cbx + cay * cby jbS\vyG  
   mo_ca = Sqr(cax * cax + cay * cay) 'coV^~qy  
   mo_cb = Sqr(cbx * cbx + cby * cby) <|SRe6m  
   cos_acb = mo_jj / (mo_ca * mo_cb) OHhsP}/  
   'ff_cos = cos_acb `#;e)1  
   If cos_acb >= 1 Then R5X.^u  
   nn = 0 i}B2R$Z3  
   ElseIf cos_acb <= -1 Then a_'2V;  
   nn = 3.14159265258979 hMykf4  
   Else d%V*|0c)  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) N _86t  
   End If E.J
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   'ff_angle = nn qLB)XnQ  
   ff_angle = nn * 180 / 3.14159265258979 ]zWon~  
End Function

'判断点在区域内函数 Lcg)UcB-#  
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 p IU&^yX>  
Dim aob, boc, cod, doa, sum As Single U qFv}VsnF  
  If ppx = p1x And ppy = p1y Then /Z@tv.f  
     point_in = True 4Za7^c.  
     Exit Function 5*,f Fib  
  End If 4<lRPsvgc  
  If ppx = p2x And ppy = p2y Then ~;#Y9>7\\'  
     point_in = True 8q,6}mV  
     Exit Function V;:jZpG  
  End If L_wk~z  
   If ppx = p3x And ppy = p3y Then \ywXi~+kUv  
     point_in = True n8".XS  
     Exit Function DUC#NZgw  
  End If C'o64+W^  
     'gPzm|f|t@  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) L>SjllY  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) \<y#R~7s  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) ,Qe?8En[  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) ecCr6)  
    sum = aob + boc + cod + doa YW60q0:  
    If 360.01 > sum And sum > 359.99 Then g!+|I  
       point_in = True "3)4vuX@;c  
    Else eFL=G%  
       point_in = False /p+>NZ"b  
    End If &iA?+kV  
End Function

'得到点半径,得到交点坐标函数 5[YDZ7g"~  
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() O0pDd4)"  
    '求得中心点坐标 d[V;&U  
Dim tt As String [5+}rwm&W  
Dim rt(3) As Single 7lBAxqr2  
    '判断是否平行
Ct=-4  
   acx = p3x - p1x 79xx2  
   acy = p3y - p1y p|&Yku=  
   bdx = p4x - p2x ,kF}lo)  
   bdy = p4y - p2y nAjO6g6E  
   If acx * bdy = acy * bdx Then DIzH`|Y  
      rt(0) = 0 0^RXGN  
      Exit Function {O`w,dMOI  
   Else i*NH'o/  
      '判断斜率存在否 HY%i`]4X  
      If p1x = p3x And p2x <> p4x Then }#Qc \eud  
         tt = "ac_n_bd_y" +L9Eqll  
      ElseIf p1x <> p3x And p2x = p4x Then elFtBnL'  
         tt = "ac_y_bd_n" =aoMii   
      ElseIf p1x <> p3x And p2x <> p4x Then S7L=#+Z  
         tt = "ac_y_bd_y" p~,]*y:XT  
      End If
K3x.RQQ-  
    Select Case tt H s"HID  
         Case "ac_n_bd_y" h_T7% #0  
            'bd线段方程 8'4S8DM  
            k_bd = bdy / bdx :kf`?u  
            b_bd = p2y - k_bd * p2x G6FEp`  
            p_x = p1x ?`#/ 8PN  
            p_y = k_bd * p_x + b_bd 30.@g[~  
         Case "ac_y_bd_n" eK!V );  
            'ac线段方程 Y~(Md@!0S  
            k_ac = acy / acx FWHNj.r  
            b_ac = p1y - k_ac * p1x 4y'OMRy  
            p_x = p2x \DD0s8  
            p_y = k_ac * p_x + b_ac fIwV\,s  
        Case "ac_y_bd_y" 8_6Q~  
           'ac，bd线段都要求 /gu%:vq  
           k_ac = acy / acx (;57Vw  
           b_ac = p1y - k_ac * p1x 70;Jl).\{  
           k_bd = bdy / bdx Y5FbU  
           b_bd = p2y - k_bd * p2x `/ q|@B7  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) ;F~LqC$  
           p_y = k_ac * p_x + b_ac Bxfc}vC.  
        End Select yzLpK;  
      rt(1) = p_x mA*AeP_$  
      rt(2) = p_y 'Ub g0"F(  
     K
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'计算最大半径 NZ
-\h  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) !H irhDN  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) *EZHJt9  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) NCk r /#!  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) d~:!#uWyFk  
Dim bb(5) As Single eL\;Nf+Zp  
  bb(1) = rr1 :h&fbBH  
  bb(2) = rr2 Z]j*9#G1s  
  bb(3) = rr3 ]jaQ[g$F  
  bb(4) = rr4 7~GB;1n  
  nb = rr1 },>pDeX^P  
For i = 1 To 4 V%YiAr>  
    If nb <= bb(i) Then mqAWL:VvQ7  
       nb = bb(i) `^FGwx@  
    End If RQ'H$
r.7g  
Next i elG<k%/2  
    rt(0) = Sqr(nb) OVko+X`  
    rr = rt() <Gt2(;  
  End If 1I<rXY(a`  
         -sjd&)~S[  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  L W;heO"  

X*,%&6O*  
有热压工艺方面的人才或者资料分享下； >TP7 }u|  
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 [<{Kw=X__2  

高手真多！

楼主威武霸气.