[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： hrXN38-  
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关键点说几个： ~pF'Qw"z|  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） Xajjzl\b  
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 tq*Q|9j7VG  
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 oF*Y$OEu?c  

以下是几个重要的函数： Bf-&[ 5N}  
1.判断点在区域中函数 a1}W2;W0]g  
2.计算夹角函数 =*(d+[_  
3.转置函数 w?5b:W
,  
4.得到区域中心点，及区域半径函数 A] F K\  
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） )q=1<V44d  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 f{)*"  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single 2GD%=rP2]  
   cax = x2 - x1 iFHVr'Og'  
   cay = y2 - y1 4s"HO/  
   cbx = x2 - x3 J]~3{Mi  
   cby = y2 - y3 ooD/QZUE  
   mo_jj = cax * cbx + cay * cby SEuj=Vie#  
   mo_ca = Sqr(cax * cax + cay * cay) I%(+tJ  
   mo_cb = Sqr(cbx * cbx + cby * cby) epwXv|aSZ  
   cos_acb = mo_jj / (mo_ca * mo_cb) =uvv|@Z  
   'ff_cos = cos_acb r!zNcN(%cs  
   If cos_acb >= 1 Then %_z]iz4  
   nn = 0 t=pG6U  
   ElseIf cos_acb <= -1 Then wj?fr?  
   nn = 3.14159265258979 ;w+A38N$J  
   Else @-7K~in?^  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) ~k J#IA  
   End If : i(h[0  
   'ff_angle = nn LCdc7  
   ff_angle = nn * 180 / 3.14159265258979 {:rU5 !n  
End Function

'判断点在区域内函数 Kc(_?`  
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 $Qm;F% >  
Dim aob, boc, cod, doa, sum As Single ^*0;Z<_  
  If ppx = p1x And ppy = p1y Then aE;!mod  
     point_in = True m\VJ=  
     Exit Function w S;(u[W  
  End If qS7*.E~j|]  
  If ppx = p2x And ppy = p2y Then sX=!o})0  
     point_in = True crmnh4-  
     Exit Function SC!IQ80H#D  
  End If 7IvCMb&%R  
   If ppx = p3x And ppy = p3y Then PffwNj/l  
     point_in = True GRs;-Jt  
     Exit Function d }]b  
  End If E+Gea[c  
     {1qEN_ERx  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) Ge @d"  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) !"1bV [^  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) m4%m0"Z  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) AUN Tc3  
    sum = aob + boc + cod + doa Jv7M[SJ#x  
    If 360.01 > sum And sum > 359.99 Then Rc6Rk!^  
       point_in = True =N3~2=g~A  
    Else `&+L/  
       point_in = False P]y5E9 k  
    End If ,=
 PDL  
End Function

'得到点半径,得到交点坐标函数 +6>Pp[%  
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() Kp99y  
    '求得中心点坐标 2L\h+)  
Dim tt As String xr=f9?%R  
Dim rt(3) As Single A^m hPBT_  
    '判断是否平行 -ss2X  
   acx = p3x - p1x jrW7AT)\  
   acy = p3y - p1y %?cPqRHJ ~  
   bdx = p4x - p2x n%O`K{86  
   bdy = p4y - p2y \Z~m6;  
   If acx * bdy = acy * bdx Then eygyVhJ  
      rt(0) = 0 ]:f1r8<3p  
      Exit Function G9gvOEI/  
   Else nd?m+C&W  
      '判断斜率存在否 (g;Ff`P Pc  
      If p1x = p3x And p2x <> p4x Then ~7=,)Q  
         tt = "ac_n_bd_y" <6`,)(dj  
      ElseIf p1x <> p3x And p2x = p4x Then QO%LSRw  
         tt = "ac_y_bd_n" fHgfI@{=j  
      ElseIf p1x <> p3x And p2x <> p4x Then d#W[<,  
         tt = "ac_y_bd_y" 7eO8cPy
 
      End If y3xP~]n  
    Select Case tt !l&lb]Vcz  
         Case "ac_n_bd_y" ,CdI.kV>o2  
            'bd线段方程 6v1j*'  
            k_bd = bdy / bdx G'bp  
            b_bd = p2y - k_bd * p2x DQRt\!  
            p_x = p1x l==T3u r  
            p_y = k_bd * p_x + b_bd Hnaq+ _]  
         Case "ac_y_bd_n"  Ne4A  
            'ac线段方程 6$zUFIk  
            k_ac = acy / acx d`xqs,0f  
            b_ac = p1y - k_ac * p1x %1lLUgf3G/  
            p_x = p2x o 1b#q/  
            p_y = k_ac * p_x + b_ac  Wi
|.Z/  
        Case "ac_y_bd_y" 9 (&!>z  
           'ac，bd线段都要求 4bKZ@r%  
           k_ac = acy / acx O=mJ8W@  
           b_ac = p1y - k_ac * p1x 7j]@3D9[:p  
           k_bd = bdy / bdx ~:0h o  
           b_bd = p2y - k_bd * p2x Xak~He  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) yWs/~5[F  
           p_y = k_ac * p_x + b_ac x^ Wgo`v)  
        End Select J|>P,x#G  
      rt(1) = p_x +yTL  
      rt(2) = p_y isN"7y|r:X  
     IQ|~d08}  
'计算最大半径 {4Isz-P  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) Z<wg`  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) Qejzp/2  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 5yQgGd)  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) vz_U  
Dim bb(5) As Single ZE1#{u~[y  
  bb(1) = rr1
ru U
|  
  bb(2) = rr2 0lEIj/u  
  bb(3) = rr3 f&,.h"b
S  
  bb(4) = rr4 =EG[_i{r  
  nb = rr1 
DS^Q0 f  
For i = 1 To 4 QTDI^ZeuF  
    If nb <= bb(i) Then *L!R4;ubE  
       nb = bb(i) ClEtw  
    End If &2g1Oy~  
Next i nqV7Db~  
    rt(0) = Sqr(nb) %++q+pa  
    rr = rt() S5XFYQ  
  End If $DQMN  
         w,P2_xk`  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  IY+P Yad  

hg |DpP  
有热压工艺方面的人才或者资料分享下； Sl{]Z,  
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 `2}Mz9mk  

高手真多！

楼主威武霸气.