[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： hc0$mit  
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关键点说几个： [,ulz4"  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） EASmB  
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 Q9f5}  
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 nsV=  

以下是几个重要的函数： ,jw`9a  
1.判断点在区域中函数 n6Z!~W8  
2.计算夹角函数 Hmx.BBz  
3.转置函数 Ux=B*m1@{  
4.得到区域中心点，及区域半径函数 gnxD'1_  
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） VTyj<6Y  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 MpJ<.|h  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single ^L7!lzyo  
   cax = x2 - x1 Ss
\?SEq  
   cay = y2 - y1 p Tz]8[^  
   cbx = x2 - x3 ,\#s_N7  
   cby = y2 - y3 ];b+f@  
   mo_jj = cax * cbx + cay * cby eL}X().  
   mo_ca = Sqr(cax * cax + cay * cay) ~3f|-%Z  
   mo_cb = Sqr(cbx * cbx + cby * cby) "*W# z  
   cos_acb = mo_jj / (mo_ca * mo_cb) $% gz,{  
   'ff_cos = cos_acb @v&s|X'  
   If cos_acb >= 1 Then -"H0Qafm  
   nn = 0 .c__T{<)[  
   ElseIf cos_acb <= -1 Then ,IE.8h)H  
   nn = 3.14159265258979 Ck"db30.  
   Else u7Ix7`
V  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) KtH^k&z.f  
   End If Em5,Zr_  
   'ff_angle = nn ^W@%(,xb  
   ff_angle = nn * 180 / 3.14159265258979 z5Tsu1c  
End Function

'判断点在区域内函数 -"i$^Q`  
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 8e
,F{>N  
Dim aob, boc, cod, doa, sum As Single 4dLnX3 v  
  If ppx = p1x And ppy = p1y Then |0}7/^  
     point_in = True Th*}U&  
     Exit Function o^*:  
  End If J[hmY=,  
  If ppx = p2x And ppy = p2y Then !J X7y%J  
     point_in = True [[6"qq  
     Exit Function %Q &']  
  End If r Dlu&  
   If ppx = p3x And ppy = p3y Then m{X{h4t  
     point_in = True 6-TYOUm  
     Exit Function I}0?d  
  End If U1E@pDH  
     J@E]Fl  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) Y;huTZ  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) @SiV3k  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) UIU:^g0  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 9lR6:}L7  
    sum = aob + boc + cod + doa I *sT*;U  
    If 360.01 > sum And sum > 359.99 Then 1hgIR^;[b  
       point_in = True ]w _&%mB  
    Else Y9<[n)>+  
       point_in = False rOt{bh6r  
    End If knG:6tQ  
End Function

'得到点半径,得到交点坐标函数  ov,  
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() p.g>+7  
    '求得中心点坐标 z8}QXXa  
Dim tt As String h~Z &L2V  
Dim rt(3) As Single 36+/MvIT  
    '判断是否平行 pqpsa'  
   acx = p3x - p1x Bl6I@w  
   acy = p3y - p1y &R4?]I  
   bdx = p4x - p2x XfVdYmii  
   bdy = p4y - p2y 6IT6EkiT  
   If acx * bdy = acy * bdx Then 'R+^+urq^  
      rt(0) = 0 uIO,9> ee  
      Exit Function 6*S/frE  
   Else i_A
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      '判断斜率存在否 KP0(w(q  
      If p1x = p3x And p2x <> p4x Then `^8mGR>OpI  
         tt = "ac_n_bd_y" ?;P6#ByR  
      ElseIf p1x <> p3x And p2x = p4x Then ]3*w3Y!XK  
         tt = "ac_y_bd_n" gE@Pb  
      ElseIf p1x <> p3x And p2x <> p4x Then ,WOCG2h  
         tt = "ac_y_bd_y" s,[I_IiPf  
      End If fmv:vs /9  
    Select Case tt ]rY9t@  
         Case "ac_n_bd_y" k&t.(r\  
            'bd线段方程 Gd\/n*j  
            k_bd = bdy / bdx sRcd{)|Cq  
            b_bd = p2y - k_bd * p2x lc5(^~  
            p_x = p1x ~gZ1*8s`  
            p_y = k_bd * p_x + b_bd {N{eOa<HA  
         Case "ac_y_bd_n" %4x0^<k~  
            'ac线段方程 b&h'>(  
            k_ac = acy / acx ;rL1[qwk  
            b_ac = p1y - k_ac * p1x ~1*37w~  
            p_x = p2x RF2I_4  
            p_y = k_ac * p_x + b_ac p{GO-gE@  
        Case "ac_y_bd_y" Y+23 jlgb  
           'ac，bd线段都要求 \^y~w~g?  
           k_ac = acy / acx |;Jt* _  
           b_ac = p1y - k_ac * p1x _I'k&R  
           k_bd = bdy / bdx {_\dwe9  
           b_bd = p2y - k_bd * p2x Gy["_;+xU  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) }I}GA:~$%  
           p_y = k_ac * p_x + b_ac v.:Q& ]  
        End Select kP(
'X
/  
      rt(1) = p_x =>'j
_|  
      rt(2) = p_y gk8v{'0Er  
     SbL7e#!!  
'计算最大半径 V:5aq.o!  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) {*hGe_^  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) N|)e {|k  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) xgNV0;g,  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) 9CwtBil<#g  
Dim bb(5) As Single ircL/:  
  bb(1) = rr1 CcV@YST?  
  bb(2) = rr2 UL~~J[1r  
  bb(3) = rr3 gxI/MD~!>  
  bb(4) = rr4 P$h) Y  
  nb = rr1 #]Do_Z  
For i = 1 To 4 rB(Q)N  
    If nb <= bb(i) Then ]-X\n  
       nb = bb(i) Q9p2.!/C1  
    End If t^6ams$  
Next i 9"B;o  
    rt(0) = Sqr(nb) z8D,[`  
    rr = rt() =:R${F  
  End If =7:}/&  
         l_2l/ff9  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  x C>>K6Nb  

vmtmiN8;d  
有热压工艺方面的人才或者资料分享下； TrHUM4  
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 6rAenK-%  

高手真多！

楼主威武霸气.