[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： aHwrFkn  
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描述:请输入描述

图片:2.jpg

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关键点说几个： "d%":F(  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） >E[cl\5$E  
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 +}X@{DB  
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 T9N /;3  

以下是几个重要的函数： AqE . TK  
1.判断点在区域中函数 :|N5fkhN  
2.计算夹角函数 ;]vE"Mx$  
3.转置函数 hZc$`V=R  
4.得到区域中心点，及区域半径函数 8(5}Jo+  
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） ~hYG%  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 k+&LOb7  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single V 7%rKK  
   cax = x2 - x1 1i#M(u_  
   cay = y2 - y1 j`='SzVloW  
   cbx = x2 - x3 4~DFtWbf  
   cby = y2 - y3 ;la(Q~#  
   mo_jj = cax * cbx + cay * cby O .m;a_  
   mo_ca = Sqr(cax * cax + cay * cay) #R'm|En'  
   mo_cb = Sqr(cbx * cbx + cby * cby) gKn"e|A  
   cos_acb = mo_jj / (mo_ca * mo_cb) C!%BW%"R  
   'ff_cos = cos_acb DY0G;L3  
   If cos_acb >= 1 Then Ej8EQ%P  
   nn = 0 %j{gZ
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   ElseIf cos_acb <= -1 Then :W-"UW,  
   nn = 3.14159265258979 I[@}+p0  
   Else Abd&p N  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) `=vL?w^QS  
   End If SA)}---"  
   'ff_angle = nn _{C:aIl[2  
   ff_angle = nn * 180 / 3.14159265258979 >Vn;1|w  
End Function

'判断点在区域内函数 E[)`+:G]  
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 m}'kxZTOm  
Dim aob, boc, cod, doa, sum As Single %q`_vtUT  
  If ppx = p1x And ppy = p1y Then RxjC sjg  
     point_in = True @s b\0}  
     Exit Function q6%jCt2'  
  End If 'Oyz/P(p  
  If ppx = p2x And ppy = p2y Then cAC]%~orx  
     point_in = True hwSn?bkw  
     Exit Function wFnIM2a,  
  End If R%"wf   
   If ppx = p3x And ppy = p3y Then 1I<D `H%  
     point_in = True p.SEW5  
     Exit Function [x kbzJ  
  End If :{E;*v_!v  
     W}50E.\#  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) FI`][&]V  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) t"cGv32b  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) '+hiCX-_  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) *&Np
;^~  
    sum = aob + boc + cod + doa ogtKj"a  
    If 360.01 > sum And sum > 359.99 Then MRMswNQ  
       point_in = True _{_ybXG|  
    Else )[.FUx  
       point_in = False `b=?z%LuT  
    End If se:]F/  
End Function

'得到点半径,得到交点坐标函数 $b,o3eC  
Function rr(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single) As Single() ] lE6:^V  
    '求得中心点坐标 /o Q^j'v  
Dim tt As String 8=Xy19<;t  
Dim rt(3) As Single a/A$ MXZ_  
    '判断是否平行 ?W:YS82  
   acx = p3x - p1x _WO*N9Iz  
   acy = p3y - p1y %JF.m$-  
   bdx = p4x - p2x 3J%(2}{y  
   bdy = p4y - p2y :s`~m;Y9?  
   If acx * bdy = acy * bdx Then !ba /]A
/  
      rt(0) = 0 ~xZFm  
      Exit Function `CP#S7W^  
   Else d:cs8f4>  
      '判断斜率存在否 "#anL8  
      If p1x = p3x And p2x <> p4x Then }F=scbpXj  
         tt = "ac_n_bd_y" 9#Gz2u$  
      ElseIf p1x <> p3x And p2x = p4x Then 9y"R,  
         tt = "ac_y_bd_n" wqEO+7)S  
      ElseIf p1x <> p3x And p2x <> p4x Then 4iMo&E<  
         tt = "ac_y_bd_y" "Qj;pqR  
      End If K:hZ  
    Select Case tt |3j'HN5S  
         Case "ac_n_bd_y" lf3QMr+  
            'bd线段方程 E_ #MQ;n  
            k_bd = bdy / bdx Gw%P5 r}Y  
            b_bd = p2y - k_bd * p2x 1W*%}!&Gm  
            p_x = p1x lJ1_Zs `  
            p_y = k_bd * p_x + b_bd |+K3\b  
         Case "ac_y_bd_n" \ t4:(Jp 3  
            'ac线段方程 Z7>pz:,  
            k_ac = acy / acx ?"-%>y@w  
            b_ac = p1y - k_ac * p1x ,kS3Ioj  
            p_x = p2x U\dq Mp#Wy  
            p_y = k_ac * p_x + b_ac YL*yiZ9  
        Case "ac_y_bd_y" o,}`4_N||  
           'ac，bd线段都要求 <\40?*2  
           k_ac = acy / acx /E8{:>2  
           b_ac = p1y - k_ac * p1x ,tqMMBwC~_  
           k_bd = bdy / bdx i8t
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           b_bd = p2y - k_bd * p2x >#~!03  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 3<">1] /,  
           p_y = k_ac * p_x + b_ac r:.3P  
        End Select 2wCTd:e:  
      rt(1) = p_x
 @Tk5<B3  
      rt(2) = p_y [l"|x75-  
     ?5@!r>i=<  
'计算最大半径 %A_h!3f&  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) 5A^$!q P  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) mY!os91KoO  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) G?Fqm@J{XT  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) kC:GEY<N:Q  
Dim bb(5) As Single Fb8~2N"3  
  bb(1) = rr1 ;;|S QX  
  bb(2) = rr2 OAx5 LTd  
  bb(3) = rr3 #Xdj:T<*  
  bb(4) = rr4 [H"\<"1o  
  nb = rr1 _OR@
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For i = 1 To 4 pHO,][VZ  
    If nb <= bb(i) Then J4Yu|E<&  
       nb = bb(i) Qy< ~{6V  
    End If ;.dyuKlI  
Next i Q)vf>LwC2S  
    rt(0) = Sqr(nb) qRk<1.  
    rr = rt() m3Ma2jLWC  
  End If {k:W?`  
         m[l[yUw#  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  C2a2K={  

To!` T$Xh  
有热压工艺方面的人才或者资料分享下； g]mR
;T3  
我公司主要做透镜类产品，现在有客户要审核我公司的导光膜工艺，头疼 e'y$X;nIv  

高手真多！

楼主威武霸气.