[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： 6@(o8i   
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关键点说几个： 8)f/H&)>8  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） T+5H2]yy)  
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 q{q;X{  
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 @GQtyl;q  

以下是几个重要的函数： jq/CXYv  
1.判断点在区域中函数 j  W-K  
2.计算夹角函数 O
j7).U0;#  
3.转置函数 j'SGZnsy*  
4.得到区域中心点，及区域半径函数 - l0X]&Ex  
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） zK:2.4  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 %cq8%RT  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single Q3LScpp  
   cax = x2 - x1 *nY$YwHB  
   cay = y2 - y1 :rN5HOg^9  
   cbx = x2 - x3 M9(Kxux#  
   cby = y2 - y3 Rdy-6  
   mo_jj = cax * cbx + cay * cby [ldx_+xa:E  
   mo_ca = Sqr(cax * cax + cay * cay) t)l^$j!h@  
   mo_cb = Sqr(cbx * cbx + cby * cby) kE{-h'xADD  
   cos_acb = mo_jj / (mo_ca * mo_cb) ;.d{$SO  
   'ff_cos = cos_acb g+ cH  
   If cos_acb >= 1 Then \'P79=AU  
   nn = 0 v-}D>)M^W  
   ElseIf cos_acb <= -1 Then ztaSIMZ  
   nn = 3.14159265258979 cq1)b\|  
   Else T'%Rkag>  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) t&(\A,ch%  
   End If %uy?@e  
   'ff_angle = nn 2,'%G\QT  
   ff_angle = nn * 180 / 3.14159265258979 U0dhr;l  
End Function

'判断点在区域内函数 RjG=RfB'V  
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 ZTi KU)  
Dim aob, boc, cod, doa, sum As Single :stA]JB# w  
  If ppx = p1x And ppy = p1y Then axiP~t2  
     point_in = True T|h'"3'  
     Exit Function [kPF Jf  
  End If `&o>7a;  
  If ppx = p2x And ppy = p2y Then s!j
vBy  
     point_in = True -f%J_`  
     Exit Function 3rVWehCv  
  End If E>x,$w<?  
   If ppx = p3x And ppy = p3y Then 4k=LVu]Kcr  
     point_in = True d?1[xv;  
     Exit Function sKGR28e  
  End If $or8z
2d1  
     FDIOST !  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) +Uf+`  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) S1d{! ` 3  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) pq<2:F:Kl  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 6^hCW`jG  
    sum = aob + boc + cod + doa Q`(.Blgm;  
    If 360.01 > sum And sum > 359.99 Then oD
7^9=#  
       point_in = True t,R4q*  
    Else 2)+ddel<Z  
       point_in = False &s_)|K  
    End If kZHIzU  
End Function

'得到点半径,得到交点坐标函数 !ZTBiC5R  
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() Y|N.R(sAs&  
    '求得中心点坐标 >r5s>A[YC  
Dim tt As String }C9P--  
Dim rt(3) As Single iP+3)  
    '判断是否平行 ;\)N7SJ  
   acx = p3x - p1x R7~#7qKQB  
   acy = p3y - p1y &{H LYxh  
   bdx = p4x - p2x 7q|51rZz  
   bdy = p4y - p2y y?yWM8  
   If acx * bdy = acy * bdx Then Fd/.\s  
      rt(0) = 0 tAH0o\1;  
      Exit Function 1JSKK.LuJV  
   Else .z&,d&E  
      '判断斜率存在否 2vx1M6a)L  
      If p1x = p3x And p2x <> p4x Then @6:J$B~)u  
         tt = "ac_n_bd_y" )MU)'1jc,  
      ElseIf p1x <> p3x And p2x = p4x Then LKe~  
         tt = "ac_y_bd_n" kC4}@{4i  
      ElseIf p1x <> p3x And p2x <> p4x Then n6s[q-td  
         tt = "ac_y_bd_y" (b>B6W\&  
      End If )-_To&S*  
    Select Case tt yUp"%_t0  
         Case "ac_n_bd_y" \S`|7JYW  
            'bd线段方程 B_#U|10et  
            k_bd = bdy / bdx f<v:
Tg.[  
            b_bd = p2y - k_bd * p2x w@"l0gm+u[  
            p_x = p1x K1*]6x,  
            p_y = k_bd * p_x + b_bd T9=55tpG9  
         Case "ac_y_bd_n" 3X A8\Mg  
            'ac线段方程 ,CA3Q.y>|  
            k_ac = acy / acx a.!|A(zw  
            b_ac = p1y - k_ac * p1x mj9r#v3.  
            p_x = p2x w*7BiZ{s<  
            p_y = k_ac * p_x + b_ac }Gg:y?  
        Case "ac_y_bd_y" K~ShV  
           'ac，bd线段都要求 F9 q9BH  
           k_ac = acy / acx La#otuw+?  
           b_ac = p1y - k_ac * p1x 1feS/l$
  
           k_bd = bdy / bdx -cW'g  
           b_bd = p2y - k_bd * p2x Vv3{jn6%  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) XDcA&cM}p  
           p_y = k_ac * p_x + b_ac S@PAtB5  
        End Select xD3Y-d9  
      rt(1) = p_x l!^+Xeg~  
      rt(2) = p_y VLO!hA#  
     ppu WcGo  
'计算最大半径 I!OV+utF  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) ;&v~tD7  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) &]mZp&  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) t
V5Uz&:b  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) FSn&N2[D  
Dim bb(5) As Single FqT2+VO~  
  bb(1) = rr1 Az"(I>VfD  
  bb(2) = rr2 ,Kw]V %xOb  
  bb(3) = rr3 a2tRmil  
  bb(4) = rr4 EA+}Rf6}  
  nb = rr1 v;m}<3@'  
For i = 1 To 4 /<WK2G  
    If nb <= bb(i) Then ;Q&|-`NK  
       nb = bb(i) nNJMQb'K  
    End If x."/+/  
Next i 7(oX1hN  
    rt(0) = Sqr(nb) ~gAp`Q  
    rr = rt() c Oi:bC@  
  End If )lsR8Hi8  
         X|iWnz+^  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  Lxg,BZV  

-*<4 hFb  
有热压工艺方面的人才或者资料分享下； jgW-&nK!  
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 uSl&d  

高手真多！

楼主威武霸气.