[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： 7Jb&~{
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关键点说几个： SqAz((  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） ]yOM  
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 m-{DhJV  
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 /M5.Z~|/  

以下是几个重要的函数： t_/qd9Jv  
1.判断点在区域中函数 i7H([b<_m  
2.计算夹角函数 Nr@,In|JS  
3.转置函数 (0`rfYv5.R  
4.得到区域中心点，及区域半径函数 1XS~b-St  
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） ^ iu)vED  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 d Np%=gIj  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single Q*1Avy6]  
   cax = x2 - x1 n_sV>$f-u  
   cay = y2 - y1 =YM  
   cbx = x2 - x3 K*~xy bA  
   cby = y2 - y3 o5],c9R9b  
   mo_jj = cax * cbx + cay * cby hQ3@CfW  
   mo_ca = Sqr(cax * cax + cay * cay) ^C,rN;mX'  
   mo_cb = Sqr(cbx * cbx + cby * cby) .WglLUJ:Z  
   cos_acb = mo_jj / (mo_ca * mo_cb) Pw6l'  
   'ff_cos = cos_acb C4E*q3[Y  
   If cos_acb >= 1 Then QP%AJ[3ea%  
   nn = 0  ^Oj^7.T+  
   ElseIf cos_acb <= -1 Then L `2{H%J`  
   nn = 3.14159265258979 d3oRan}z  
   Else xfUV'=~(  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 25G~rklk  
   End If g9GPyU  
   'ff_angle = nn ddYb=L+_b  
   ff_angle = nn * 180 / 3.14159265258979 1%@i4  
End Function

'判断点在区域内函数 I/h(*~/  
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 E]Cm#B  
Dim aob, boc, cod, doa, sum As Single sI)jqHZG  
  If ppx = p1x And ppy = p1y Then &Ai+t2  
     point_in = True @ /e{-Q  
     Exit Function .j!:Hp(z}  
  End If _=w=!U
&W  
  If ppx = p2x And ppy = p2y Then Dmtsu2o  
     point_in = True RZvRV?<bR  
     Exit Function Vg7+G( ,  
  End If S{cK~sZj  
   If ppx = p3x And ppy = p3y Then qE^u{S4Z@  
     point_in = True <SRSJJR|(  
     Exit Function WAr6Dv,8  
  End If <t*3w  
     s4 Uk5<  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) T.!.3B$@]  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) c*8k _o,  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) )q7!CG'oY  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) %F*h}i  
    sum = aob + boc + cod + doa n%dh|j2u  
    If 360.01 > sum And sum > 359.99 Then btf]~YN  
       point_in = True S?H qrf7<  
    Else \p izVt  
       point_in = False xqVIw!J?/}  
    End If 4m9]d)  
End Function

'得到点半径,得到交点坐标函数 $Jy1=/W&  
Function rr(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single) As Single() cr{f*U6`  
    '求得中心点坐标 "IdN*K  
Dim tt As String 9<!Ie^o?  
Dim rt(3) As Single {Ve_u  
    '判断是否平行 X04JQLhy"  
   acx = p3x - p1x /`B:F5r  
   acy = p3y - p1y LT '2446  
   bdx = p4x - p2x , rc %#eF  
   bdy = p4y - p2y ON3~!Q)  
   If acx * bdy = acy * bdx Then ,dk!hm u  
      rt(0) = 0 Rp""&0  
      Exit Function Z:%~Al:  
   Else M,9f}V)  
      '判断斜率存在否 z)y{(gR  
      If p1x = p3x And p2x <> p4x Then n|I5ylt  
         tt = "ac_n_bd_y" &Ukh  
      ElseIf p1x <> p3x And p2x = p4x Then G8p6p6*  
         tt = "ac_y_bd_n" |Xk>a7X  
      ElseIf p1x <> p3x And p2x <> p4x Then U> 1voc  
         tt = "ac_y_bd_y" \ssqIRk  
      End If 0W>,RR)  
    Select Case tt `GT{=XJfY  
         Case "ac_n_bd_y" _0e;&2')  
            'bd线段方程 r5aOQ  
            k_bd = bdy / bdx z0-`D.D@\  
            b_bd = p2y - k_bd * p2x CrI:TB>/"  
            p_x = p1x n[`FoY  
            p_y = k_bd * p_x + b_bd 9TbRrS09  
         Case "ac_y_bd_n" .~dNzonq  
            'ac线段方程 7^Q4?(A  
            k_ac = acy / acx V17SJSC-  
            b_ac = p1y - k_ac * p1x 1$ C\`  
            p_x = p2x 3]g|Cwu  
            p_y = k_ac * p_x + b_ac }0~4Z)?e3  
        Case "ac_y_bd_y" leJ\  
           'ac，bd线段都要求 N1i%b,:3  
           k_ac = acy / acx mX
XU{IwUe  
           b_ac = p1y - k_ac * p1x
 -}9a%  
           k_bd = bdy / bdx <mdHca  
           b_bd = p2y - k_bd * p2x aqzIMOAf  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) u3ns-e  
           p_y = k_ac * p_x + b_ac e2l!L*[g  
        End Select W #kOcw  
      rt(1) = p_x "xKykSk  
      rt(2) = p_y z8\z`#g!  
     jou741  
'计算最大半径 v46 5Z  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) 
HTU?hbG(  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 7[?{wbq  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) E1-BB  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) Zf~Z&"C)  
Dim bb(5) As Single zBTyRL l  
  bb(1) = rr1 1iTI8h&[@  
  bb(2) = rr2 m]#oZVngy  
  bb(3) = rr3 z->[:)c  
  bb(4) = rr4 nL@(|nJ[  
  nb = rr1 zo~5(O@  
For i = 1 To 4 YA[\|I33  
    If nb <= bb(i) Then #
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       nb = bb(i) Q&A^(z}  
    End If aBonq]W  
Next i sV`!4 u7%}  
    rt(0) = Sqr(nb) u#"L gG.X  
    rr = rt() 85GU~.  
  End If 6wY6*R  
         *kE<7  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  w)7s]Ld  

|$+ xVi8  
有热压工艺方面的人才或者资料分享下； e.VR9O]G  
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 w gU2q|  

高手真多！

楼主威武霸气.