[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： )(~4fA5j)  
$D +6=m[  
U*`7   

关键点说几个： 87P{vf#  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） Nl3x BM%  
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 a5ZU"6Hi  
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 4wh_iO  

以下是几个重要的函数： c9imfA+e  
1.判断点在区域中函数 vKN"o* q  
2.计算夹角函数 .}>d[},F  
3.转置函数 )j(13faW|  
4.得到区域中心点，及区域半径函数 yE[ -@3v  
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） :Y/i%#*1  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 b:3n)-V{u  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single n B4)%  
   cax = x2 - x1 %"^$$$6%  
   cay = y2 - y1 sW!p
Mkd_  
   cbx = x2 - x3 \hN\px  
   cby = y2 - y3 Jcf'Zw"\  
   mo_jj = cax * cbx + cay * cby a7'.*H]  
   mo_ca = Sqr(cax * cax + cay * cay) P\\4 w)C  
   mo_cb = Sqr(cbx * cbx + cby * cby) 4]9+
  
   cos_acb = mo_jj / (mo_ca * mo_cb) vw=OGjT_>m  
   'ff_cos = cos_acb u4TU"r("A  
   If cos_acb >= 1 Then 92_F8y*D  
   nn = 0 (+7gS_c  
   ElseIf cos_acb <= -1 Then @w&VI6  
   nn = 3.14159265258979 hZ2!UW4'  
   Else "&?F6Pi  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) bK;I:JK3  
   End If "3o{@TdU  
   'ff_angle = nn h- .V[]<  
   ff_angle = nn * 180 / 3.14159265258979 N),bhYS]  
End Function

'判断点在区域内函数 USfpCRj9  
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 *0zdI<Oe  
Dim aob, boc, cod, doa, sum As Single
$;NxO0$  
  If ppx = p1x And ppy = p1y Then #<df!)  
     point_in = True Yqz(@( %  
     Exit Function KdU!wsKfG  
  End If I>ks H  
  If ppx = p2x And ppy = p2y Then ;;rEv5 /  
     point_in = True z%cq%P8g  
     Exit Function $"&0  
  End If Eukj2a  
   If ppx = p3x And ppy = p3y Then ol]"r5#Q_H  
     point_in = True 's]I:06A  
     Exit Function 5BKga1Q  
  End If *,qW9z  
     `Wq4k>J}*  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 4i0~t~vDpr  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) >zcR ?PPs  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) iu!j#VO  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) !f5I.r~  
    sum = aob + boc + cod + doa !K a!f1  
    If 360.01 > sum And sum > 359.99 Then #\9sCnb  
       point_in = True ,b;eU[!]  
    Else w@&g9e6E  
       point_in = False 5dc24GB>_  
    End If :m*
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End Function

'得到点半径,得到交点坐标函数 +~~FfIzf#  
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() I2G4j/c=z  
    '求得中心点坐标 I*cB Ha  
Dim tt As String 7hAFK  
Dim rt(3) As Single (p4|,\+  
    '判断是否平行 <vS J<WY  
   acx = p3x - p1x u&MlWKCi  
   acy = p3y - p1y lm'L-ZPN  
   bdx = p4x - p2x r|!w,>.  
   bdy = p4y - p2y !YD~o/t@|  
   If acx * bdy = acy * bdx Then 5IOMc4v  
      rt(0) = 0 |eS5~0<`  
      Exit Function x3ds{Z$,>(  
   Else p.{9OrH(4  
      '判断斜率存在否 TAfLC)  
      If p1x = p3x And p2x <> p4x Then cp@(y$  
         tt = "ac_n_bd_y" ^Mw>'*5^  
      ElseIf p1x <> p3x And p2x = p4x Then 4wp5ghe  
         tt = "ac_y_bd_n" ]|NwC<  
      ElseIf p1x <> p3x And p2x <> p4x Then z'cVq}vl  
         tt = "ac_y_bd_y" VQSwRL3B=  
      End If 2c?-_OCy;  
    Select Case tt WjfUbKg0  
         Case "ac_n_bd_y" !uaV6K  
            'bd线段方程 a/d'(]  
            k_bd = bdy / bdx N}`.N  
            b_bd = p2y - k_bd * p2x 1J$sIY,Ou  
            p_x = p1x r$3{1HXc  
            p_y = k_bd * p_x + b_bd 1&{]jG{#  
         Case "ac_y_bd_n" 9+'
QH  
            'ac线段方程 d=<"sHO  
            k_ac = acy / acx RU} M&&  
            b_ac = p1y - k_ac * p1x .&Uu w  
            p_x = p2x tK9_]663  
            p_y = k_ac * p_x + b_ac K_\fO|<k  
        Case "ac_y_bd_y" l| 1O9I0Gd  
           'ac，bd线段都要求 z[xi  
           k_ac = acy / acx q,b6).  
           b_ac = p1y - k_ac * p1x _T[=7cn  
           k_bd = bdy / bdx $nR1AOm}.B  
           b_bd = p2y - k_bd * p2x U@#YKv  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) eK_Q>;k5A  
           p_y = k_ac * p_x + b_ac !Jh/M^  
        End Select kpc3l[.A  
      rt(1) = p_x }e}J6[wP  
      rt(2) = p_y z#qlu=  
     S*3N6*-l"  
'计算最大半径 .xXe *dm%  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) 4;G:.k!K  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) u\~dsD2)q  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) XXbAn-J  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) EL_rh TWw  
Dim bb(5) As Single |&JCf=  
  bb(1) = rr1 -{z.8p}IW  
  bb(2) = rr2 #$h~QBg  
  bb(3) = rr3 VCOz?Y*  
  bb(4) = rr4 S}=d74(/n  
  nb = rr1 G8}w|'0m  
For i = 1 To 4 J%|!KQl  
    If nb <= bb(i) Then $umh&z/  
       nb = bb(i) !<!5;f8  
    End If sZ`C "1cX  
Next i J23Tst#s  
    rt(0) = Sqr(nb) j$l[
OZ
:#  
    rr = rt() OnO56,+S^  
  End If cID{X&or  
         ?L=@Zs  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  0pT?qsM2  

tHe
zS~t_  
有热压工艺方面的人才或者资料分享下； 5 rpX"(  
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  5VWyc9Q  

高手真多！

楼主威武霸气.