[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： mf~JolucJ  
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图片:2.jpg

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关键点说几个： a+HGlj 2>  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） -yP|CZM  
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 -_*ux!  
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 L3/SIoqd  

以下是几个重要的函数： !_?K(X~/  
1.判断点在区域中函数  YW14X  
2.计算夹角函数 >='y+68  
3.转置函数 ~=P#7l\o1  
4.得到区域中心点，及区域半径函数 ]$7yB3S,B  
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） La2f]+sV  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 (y^svXU}a  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single ;hV-*;>  
   cax = x2 - x1 0Yk$f1g  
   cay = y2 - y1 Nx;Oz  
   cbx = x2 - x3 _x`oab0@  
   cby = y2 - y3 tqFE>ojlI  
   mo_jj = cax * cbx + cay * cby _'mK=`>u  
   mo_ca = Sqr(cax * cax + cay * cay) b Y2:g )  
   mo_cb = Sqr(cbx * cbx + cby * cby)  NZu2D  
   cos_acb = mo_jj / (mo_ca * mo_cb) q/h, jM  
   'ff_cos = cos_acb shZEE2Dr  
   If cos_acb >= 1 Then D_Zt:tzO  
   nn = 0 )p`zN=t
 
   ElseIf cos_acb <= -1 Then 'QdDXw5o  
   nn = 3.14159265258979 1YtbV
3  
   Else ?APCDZ^  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) Mp3nR5@d$  
   End If 0sP*ChY5S  
   'ff_angle = nn "Ng%"N
z  
   ff_angle = nn * 180 / 3.14159265258979 Z]SUr`Z  
End Function

'判断点在区域内函数 gl~9|$ivj>  
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 s^"*]9B"  
Dim aob, boc, cod, doa, sum As Single !y&<IT(\4  
  If ppx = p1x And ppy = p1y Then P r2WF~NuO  
     point_in = True 1wy?<B.f
 
     Exit Function T(=Z0M  
  End If $}t;c62  
  If ppx = p2x And ppy = p2y Then pS~=T}o  
     point_in = True ?s@=DDB\u  
     Exit Function P]0/S  
  End If 2Ah B)8bG  
   If ppx = p3x And ppy = p3y Then ATF>"Ux  
     point_in = True (&1565  
     Exit Function SQ057V>'=  
  End If gs(ZJO1 /L  
     4C }#lW9  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) sdBB(  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) T2_b5j3i  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) 0V+v)\4
FE  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 4vi[hiV   
    sum = aob + boc + cod + doa Z_4|L+i<{  
    If 360.01 > sum And sum > 359.99 Then .1:B\R((  
       point_in = True +' SG$<Xv  
    Else wln"g,ct  
       point_in = False +yxL}=4s  
    End If kA/yL]m^S  
End Function

'得到点半径,得到交点坐标函数 [$@EQ]tt/  
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() Ry40:;MYN  
    '求得中心点坐标 lv#L+}T  
Dim tt As String ;( (|0Xa  
Dim rt(3) As Single :Q}Zb,32  
    '判断是否平行 &hJQHlyJM0  
   acx = p3x - p1x y$9XHubu  
   acy = p3y - p1y L|p+;ex  
   bdx = p4x - p2x mM'uRhO+  
   bdy = p4y - p2y ^@)*voP#G  
   If acx * bdy = acy * bdx Then \F14]`i  
      rt(0) = 0 47)\\n_\z  
      Exit Function 6$t+Q~2G!  
   Else XrJLlH>R4  
      '判断斜率存在否 C[CNJ66  
      If p1x = p3x And p2x <> p4x Then )O8w'4P5  
         tt = "ac_n_bd_y" ,MUgww!.  
      ElseIf p1x <> p3x And p2x = p4x Then SP;1XXlL  
         tt = "ac_y_bd_n" |(=b  
      ElseIf p1x <> p3x And p2x <> p4x Then #&Rx?V  
         tt = "ac_y_bd_y" 1]"S?  
      End If ri49r*_1  
    Select Case tt usw(]CnH  
         Case "ac_n_bd_y" h*?]A  
            'bd线段方程 .ZupsS9l  
            k_bd = bdy / bdx +&.39q!  
            b_bd = p2y - k_bd * p2x x_- SAyH  
            p_x = p1x Qp-P[Tc  
            p_y = k_bd * p_x + b_bd K@?K4o   
         Case "ac_y_bd_n" CYdYa|  
            'ac线段方程 R]l2,0:  
            k_ac = acy / acx U.1&'U*  
            b_ac = p1y - k_ac * p1x t\O#5mo  
            p_x = p2x f%yNq6l  
            p_y = k_ac * p_x + b_ac QwLSL<.  
        Case "ac_y_bd_y" xu@+b~C\  
           'ac，bd线段都要求 %?
J-0  
           k_ac = acy / acx MADt$_  
           b_ac = p1y - k_ac * p1x dB8 e  
           k_bd = bdy / bdx F#z1 sl'  
           b_bd = p2y - k_bd * p2x n`D-?]*  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) $\L=RU!c}  
           p_y = k_ac * p_x + b_ac T3t w.yh  
        End Select 7)BK&kpVr  
      rt(1) = p_x [f?x
,W~  
      rt(2) = p_y |Ew&.fgz  
     :H/Rhx=  
'计算最大半径 j rg B56LL  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) 8Rnq &8A  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) EQX?Zs?C  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) ~JB4s%&  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) %-an\.a.  
Dim bb(5) As Single 6%&DJBU!  
  bb(1) = rr1 %1rN6A!%  
  bb(2) = rr2 <FwAV=}6p  
  bb(3) = rr3 h5lngw  
  bb(4) = rr4 A",R2d  
  nb = rr1 " t,ZO  
For i = 1 To 4 )!5"\eys  
    If nb <= bb(i) Then <W/YC2b  
       nb = bb(i) =/19 -Y:  
    End If e09QaY  
Next i ~I@ %ysR  
    rt(0) = Sqr(nb) k;HI-v  
    rr = rt() Dk}t
xw}#  
  End If ;pG5zRe  
         yS4nB04`=  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  |L6 +e*  

*4g:V;L  
有热压工艺方面的人才或者资料分享下； IKnXtydeI}  
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 S,#UA%V"  

高手真多！

楼主威武霸气.