[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： cLJ$M`e  
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关键点说几个： qzLP
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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） oUr66a/[U  
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 1 ~*7f>  
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 )Y0!~# `  

以下是几个重要的函数： NiK4d{E&  
1.判断点在区域中函数 XS{Qnx_#  
2.计算夹角函数 ~2N"#b&J  
3.转置函数 ^j7Vt2-  
4.得到区域中心点，及区域半径函数 ({)+3]x  
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） )}(^, Fo c  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 yYYSeH  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single (OL4Ex']  
   cax = x2 - x1 [ /b2=>  
   cay = y2 - y1 |F[+k e  
   cbx = x2 - x3 wo/\]5  
   cby = y2 - y3 h"Q8b}$^)  
   mo_jj = cax * cbx + cay * cby M h}m;NI  
   mo_ca = Sqr(cax * cax + cay * cay) ]|ag  
   mo_cb = Sqr(cbx * cbx + cby * cby) =v&hWjP  
   cos_acb = mo_jj / (mo_ca * mo_cb) 7U"g3a)=  
   'ff_cos = cos_acb 5H9z4-i x?  
   If cos_acb >= 1 Then #A/  
   nn = 0 p38-l'{#  
   ElseIf cos_acb <= -1 Then Eyqa?$R  
   nn = 3.14159265258979 P4'Q/Sj  
   Else :\c ^*K(9  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) LA5(sp@O  
   End If #q$HQ&k  
   'ff_angle = nn SHgN~Um  
   ff_angle = nn * 180 / 3.14159265258979 FVbb2Y?R  
End Function

'判断点在区域内函数 .`H5cuF`  
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 U< fGGCw  
Dim aob, boc, cod, doa, sum As Single ec;o\erPG  
  If ppx = p1x And ppy = p1y Then cqkV9f8Ro  
     point_in = True 4F:\-O  
     Exit Function +3BN}  
  End If `
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  If ppx = p2x And ppy = p2y Then };zFJ6I8  
     point_in = True G~a ZJ,  
     Exit Function ]s'as9s9  
  End If u&vf+6=9Dd  
   If ppx = p3x And ppy = p3y Then ,[KD,)3y  
     point_in = True 9W5lSX#^;  
     Exit Function \V63qg[  
  End If oZgjQM$YP  
     vA{-{Q  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) Z5n1@a__  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) ?l{nk5,?-Y  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) rs[T=CQ  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) ? OM!+O  
    sum = aob + boc + cod + doa .p[ux vp  
    If 360.01 > sum And sum > 359.99 Then 9cF[seE"0  
       point_in = True F)QDJE0  
    Else IEi^kJflU  
       point_in = False q<|AZ2Ai  
    End If /,yd+wcW#  
End Function

'得到点半径,得到交点坐标函数 C1)!f j=  
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() #;e:A8IQ  
    '求得中心点坐标 oG\Vxg*  
Dim tt As String _G@GpkSe>  
Dim rt(3) As Single -Q*gW2KmV  
    '判断是否平行 *g2x%aZWbG  
   acx = p3x - p1x XRi8Gpg  
   acy = p3y - p1y Y:[u1~a  
   bdx = p4x - p2x chX"O0?"  
   bdy = p4y - p2y L="}ErmK  
   If acx * bdy = acy * bdx Then |Rk@hzM2S  
      rt(0) = 0 ~f98#43  
      Exit Function 7{*>agQh  
   Else )y$(AJx$  
      '判断斜率存在否 4!?eRY  
      If p1x = p3x And p2x <> p4x Then ;e*!S}C,  
         tt = "ac_n_bd_y" m{HS0l'  
      ElseIf p1x <> p3x And p2x = p4x Then
q/,O\,  
         tt = "ac_y_bd_n" Q![@c  
      ElseIf p1x <> p3x And p2x <> p4x Then ~]2K^bh8&  
         tt = "ac_y_bd_y" z Iu'[U  
      End If 26h21Z16q  
    Select Case tt hwv/AnX~O  
         Case "ac_n_bd_y" 4V`G,W4^J  
            'bd线段方程 [4f{w%~^  
            k_bd = bdy / bdx b>ySv  
            b_bd = p2y - k_bd * p2x ^1];S^nD  
            p_x = p1x Gd85kY@w7  
            p_y = k_bd * p_x + b_bd Dlvz)  
         Case "ac_y_bd_n" R6->t #n,  
            'ac线段方程 &6VnySE?  
            k_ac = acy / acx ]/L0,^RI  
            b_ac = p1y - k_ac * p1x 6'f;-2  
            p_x = p2x j3Y['xDv  
            p_y = k_ac * p_x + b_ac K
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        Case "ac_y_bd_y" `ERz\`d~Y;  
           'ac，bd线段都要求 ]Y&VT7+Z  
           k_ac = acy / acx 9->if/r,o  
           b_ac = p1y - k_ac * p1x eHUOU>&P]  
           k_bd = bdy / bdx 9pfIzs su3  
           b_bd = p2y - k_bd * p2x BI@[\aRLQ  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) w7L)'9  
           p_y = k_ac * p_x + b_ac $XH^~i;  
        End Select h<QY5=SF  
      rt(1) = p_x ~k5W@`"W  
      rt(2) = p_y C3g_!dUs  
     ;O,jUiQ  
'计算最大半径 %WS+(0*1  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) @H8EWTZ  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) dWBA1p  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) ns4,@C$  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) f|gg  
Dim bb(5) As Single 8z\xrY  
  bb(1) = rr1 E]r?{t`]  
  bb(2) = rr2 BiBOr}ZQ  
  bb(3) = rr3 B9S@(/"7  
  bb(4) = rr4 ^iYj[~  
  nb = rr1 R4d=S4i  
For i = 1 To 4 BZ^}J!Q'*  
    If nb <= bb(i) Then f|(M.U-  
       nb = bb(i) )V9bI(v  
    End If tZo} ;|~'  
Next i $ocdI
5  
    rt(0) = Sqr(nb) A3*!"3nU  
    rr = rt() alb.g>LNPP  
  End If [2cD:JL  
         ,/unhfs1q  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  61 ~upQaR  

;6hOx(>`=  
有热压工艺方面的人才或者资料分享下； L4?IHNB  
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 '[O;zJN;  

高手真多！

楼主威武霸气.