[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： <vs.Ucxx  
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图片:2.jpg

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关键点说几个： Oaui@q  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） W8)GT`\  
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 4"{q|~&=:$  
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 i>;G4  

以下是几个重要的函数： !|D,cs  
1.判断点在区域中函数 1*Z}M%  
2.计算夹角函数 CXa$QSu>  
3.转置函数 /)~McP3  
4.得到区域中心点，及区域半径函数 \>+gZc]an  
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） =3FXU{"Qi4  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 p0Vw@R=  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single cng1k  
   cax = x2 - x1 s;>jy/o0 s  
   cay = y2 - y1 JWLQ9UX  
   cbx = x2 - x3 .69{GM?  
   cby = y2 - y3 @rE>D  
   mo_jj = cax * cbx + cay * cby zDX-}t_'q  
   mo_ca = Sqr(cax * cax + cay * cay) [xHK^JP 8F  
   mo_cb = Sqr(cbx * cbx + cby * cby) tYnNOK*|  
   cos_acb = mo_jj / (mo_ca * mo_cb) <|v]
9`'  
   'ff_cos = cos_acb W)\~T:Kn  
   If cos_acb >= 1 Then +ft?aB@  
   nn = 0 ;#AV~Y- s  
   ElseIf cos_acb <= -1 Then 1g *4e  
   nn = 3.14159265258979 %GJ,&b|
 
   Else ZZ.GpB.  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) j#29L"  
   End If JD.WH|sZ5  
   'ff_angle = nn }z}oVc  
   ff_angle = nn * 180 / 3.14159265258979 ,2"-G";!f\  
End Function

'判断点在区域内函数 d&F8nBIM5  
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 _E3*;  
Dim aob, boc, cod, doa, sum As Single 4\>Cnc{  
  If ppx = p1x And ppy = p1y Then :dK/}S0  
     point_in = True q* +}wP  
     Exit Function 9|fg\C  
  End If _8S!w>$)  
  If ppx = p2x And ppy = p2y Then L9"V$MO  
     point_in = True IF<pT)  
     Exit Function :2}zovsdj  
  End If FgLV>#)-  
   If ppx = p3x And ppy = p3y Then &0~E+ 9b  
     point_in = True 
aH*)W'N?  
     Exit Function }!x\qpA  
  End If A?=g!(wB  
     Ovh[qm?Z  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 3 cu`U`  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) W-2,QVp
%  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) a?_N8|k[  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) eVS6#R]'m  
    sum = aob + boc + cod + doa h,45-#+  
    If 360.01 > sum And sum > 359.99 Then NZ7g}+GTG  
       point_in = True oIN!3  
    Else b 'jZ4{+W  
       point_in = False ZG3u  
    End If ~J)_S' #  
End Function

'得到点半径,得到交点坐标函数 9Ra*bP ]1  
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() V4PI~"4q#1  
    '求得中心点坐标 Dk[m)]w\  
Dim tt As String ihS;q6ln  
Dim rt(3) As Single ;EDc1:  
    '判断是否平行 ..'k+0u^  
   acx = p3x - p1x ge %ytrst  
   acy = p3y - p1y -PPH]?
],  
   bdx = p4x - p2x 'B>fRN  
   bdy = p4y - p2y p=sLKnLmZ  
   If acx * bdy = acy * bdx Then 9%T~^V%T7  
      rt(0) = 0 ,T&=*q  
      Exit Function O/ Yz6VQ  
   Else <pyLWmO  
      '判断斜率存在否 845a%A$  
      If p1x = p3x And p2x <> p4x Then QhR.8iS  
         tt = "ac_n_bd_y" 2[-@ .gH  
      ElseIf p1x <> p3x And p2x = p4x Then 8`~M$5!  
         tt = "ac_y_bd_n" R9bsl.e  
      ElseIf p1x <> p3x And p2x <> p4x Then YW9r'{(D(I  
         tt = "ac_y_bd_y" S{wR Z|8U  
      End If ZFYv|2l  
    Select Case tt sF-{(  
         Case "ac_n_bd_y" nK[T.?Nz  
            'bd线段方程 e1ts/@V  
            k_bd = bdy / bdx ])Rs.Y{Q5  
            b_bd = p2y - k_bd * p2x Z1Y/2MVSb  
            p_x = p1x 4 JC*c  
            p_y = k_bd * p_x + b_bd 7m='-_w)?w  
         Case "ac_y_bd_n" "u^%~2  
            'ac线段方程 nwSujD  
            k_ac = acy / acx NEp )V'  
            b_ac = p1y - k_ac * p1x su:~Xd  
            p_x = p2x ]:H((rk  
            p_y = k_ac * p_x + b_ac o\<m99Ub  
        Case "ac_y_bd_y" f+3ico]f@  
           'ac，bd线段都要求 dRC RB  
           k_ac = acy / acx LelCjC{`1  
           b_ac = p1y - k_ac * p1x n/]w!  
           k_bd = bdy / bdx Fs+ CY  
           b_bd = p2y - k_bd * p2x 5@c/,6l  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) }7Lo}}  
           p_y = k_ac * p_x + b_ac 3X|7 R  
        End Select 4sJM!9eb[  
      rt(1) = p_x %*:X FB  
      rt(2) = p_y +ftOJFkI  
     }enS'Fpf`  
'计算最大半径 $
+'bRUo  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) `wGP31Y.  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 5l_ >QB  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) Lvco9 Ak  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) <d*;d3gm  
Dim bb(5) As Single TTGk"2 Q'  
  bb(1) = rr1 ui>0?O*G  
  bb(2) = rr2 
pk>p|q  
  bb(3) = rr3 l rRRRR  
  bb(4) = rr4 ~%gO+qD  
  nb = rr1 {Tr5M o  
For i = 1 To 4 b\ P6,s'(  
    If nb <= bb(i) Then '>"
ri
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       nb = bb(i) m%$GiNs}  
    End If 0XgJCvMcB  
Next i 8,VX%CS#q  
    rt(0) = Sqr(nb) S2APqR
g*  
    rr = rt() nO;*Peob  
  End If
&PE/\_xD_  
         Uj/m  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  wJ}
9(>id*  

p]^?4  
有热压工艺方面的人才或者资料分享下； W]aX}>0  
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 DtRu&>o_6D  

高手真多！

楼主威武霸气.