[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： $SfY<j,R  
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关键点说几个： +y][s{A  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） nFwdW@E9  
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 |WW'qg]Uu  
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 l s%
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以下是几个重要的函数： {wD "|K  
1.判断点在区域中函数 mOb@w/f  
2.计算夹角函数 \*c=b
z&l  
3.转置函数 Z-aB[hE  
4.得到区域中心点，及区域半径函数 d%oHcn  
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） AS lmW@/9v  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 ZOL#Q+U  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single `U{#;  
   cax = x2 - x1 >8injW352  
   cay = y2 - y1 ^{-Z3Yxd  
   cbx = x2 - x3 YwJ<0;:+hS  
   cby = y2 - y3 5=;'LW
XCJ  
   mo_jj = cax * cbx + cay * cby MU1T="N^+  
   mo_ca = Sqr(cax * cax + cay * cay) $EZr@n  
   mo_cb = Sqr(cbx * cbx + cby * cby) M2nZ,I=l  
   cos_acb = mo_jj / (mo_ca * mo_cb) ST\d-x  
   'ff_cos = cos_acb n'@XgUI,  
   If cos_acb >= 1 Then ?q"9ZYX<  
   nn = 0 C0L(ti;  
   ElseIf cos_acb <= -1 Then O! w&3 p  
   nn = 3.14159265258979 4*Z>-<W=  
   Else fjS#  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) D*8oFJub  
   End If G)%r|meKGB  
   'ff_angle = nn #}8gHI-9%  
   ff_angle = nn * 180 / 3.14159265258979 Tg v]30F)  
End Function

'判断点在区域内函数 o[nr)  
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 _?9|,  
Dim aob, boc, cod, doa, sum As Single MG$Df$R  
  If ppx = p1x And ppy = p1y Then tEllkHyef  
     point_in = True {^Q1b.=  
     Exit Function o]0\Km  
  End If SY+$8^  
  If ppx = p2x And ppy = p2y Then _^Q =n>G  
     point_in = True q7zHT=@$  
     Exit Function pg4jPuCM  
  End If (M,*R v  
   If ppx = p3x And ppy = p3y Then -}Gk@=$G  
     point_in = True 9icy&'  
     Exit Function zA&]#mc  
  End If IaRq6=[  
     .4,l0Nn`W  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) uh~,>~a|  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) K$~Ja  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) )}T0SGY  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) CGCSfoS9f  
    sum = aob + boc + cod + doa W$u/tRF  
    If 360.01 > sum And sum > 359.99 Then liVj-*m  
       point_in = True zvh&o*\2<d  
    Else EN~ha:9  
       point_in = False <>[]-Vq  
    End If t0o'_>*?A  
End Function

'得到点半径,得到交点坐标函数 |PW.CV0,  
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() T\$r|  
    '求得中心点坐标 kG]FB.@bG  
Dim tt As String )\0LxsZ  
Dim rt(3) As Single
g+92}$_  
    '判断是否平行 Z)H9D(Za  
   acx = p3x - p1x e(sV4Z~  
   acy = p3y - p1y ryoD 1OE  
   bdx = p4x - p2x 9N{"ob Z  
   bdy = p4y - p2y _;`g*Kx  
   If acx * bdy = acy * bdx Then ^1w*$5YI  
      rt(0) = 0 D*o[a#2_  
      Exit Function *heX[D &>)  
   Else 'Lv>!s 7  
      '判断斜率存在否 gIaPS0Q
 
      If p1x = p3x And p2x <> p4x Then dnUiNs8  
         tt = "ac_n_bd_y" ;l2pdP4
jf  
      ElseIf p1x <> p3x And p2x = p4x Then eXZH#K7S#  
         tt = "ac_y_bd_n" tD !$!\`O  
      ElseIf p1x <> p3x And p2x <> p4x Then 1r;.r|  
         tt = "ac_y_bd_y" #u6ZCv7u  
      End If .#$D\cwV  
    Select Case tt 'CO3b,  
         Case "ac_n_bd_y" NHq*&xy  
            'bd线段方程 (.54`[2+L  
            k_bd = bdy / bdx h"5!puN+  
            b_bd = p2y - k_bd * p2x {`CmE/`{  
            p_x = p1x \3v}:E+3  
            p_y = k_bd * p_x + b_bd S)[$F}  
         Case "ac_y_bd_n" 7e D<(  
            'ac线段方程 ~J,e^$u  
            k_ac = acy / acx SRf.8j  
            b_ac = p1y - k_ac * p1x q2KWSh
5  
            p_x = p2x #9)D.d|5  
            p_y = k_ac * p_x + b_ac 9Wi+7_)  
        Case "ac_y_bd_y" vx8-~Oq{|;  
           'ac，bd线段都要求 a)GT\1q  
           k_ac = acy / acx gXI8$W>  
           b_ac = p1y - k_ac * p1x V57tn6>b  
           k_bd = bdy / bdx bp?4)C*R  
           b_bd = p2y - k_bd * p2x |=9=a@l]P  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) R-2V C  
           p_y = k_ac * p_x + b_ac
>X!A/;$  
        End Select -%#F5br%  
      rt(1) = p_x IHlTp0?
  
      rt(2) = p_y woCFkO;'O  
     8h| 9;%  
'计算最大半径 =/jCDY  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) )dgooq  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) UjI-<|  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) B&oP0 jS  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) M8wEy_XB1  
Dim bb(5) As Single I>
L@P`d  
  bb(1) = rr1 #
+,O  
  bb(2) = rr2 #XJ`/\E]  
  bb(3) = rr3 IJt8* cw  
  bb(4) = rr4 nY[]k p@  
  nb = rr1 +P. }<  
For i = 1 To 4 8 k%!1dyMB  
    If nb <= bb(i) Then bAa+MB#A  
       nb = bb(i) pZv>{=2hOS  
    End If 9L^:N)-  
Next i CnA
0^JX  
    rt(0) = Sqr(nb) 6
#rj3^]  
    rr = rt() P<<hg3@  
  End If pNzSy"Y$  
         )m7 Yo  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  ].j;d2xT\  

#sOkD  
有热压工艺方面的人才或者资料分享下；  !XvQm*1  
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 39w|2%(O.  

高手真多！

楼主威武霸气.