[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： S@*@*>s^  
^.<IT"  
o-(jSaH :;  

关键点说几个： Z2LG/R  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） ).vdKNzw  
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 QR,i b  
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 $4eogI7N>w  

以下是几个重要的函数： b.t]p  
1.判断点在区域中函数 ?^6RFbke+  
2.计算夹角函数 1 8&^k|  
3.转置函数 WRNO) f<  
4.得到区域中心点，及区域半径函数 )>?K:y8I~  
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） <2R=!n@b\  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 /njN*rhx&Z  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single 5jbd!t@L  
   cax = x2 - x1 2B*9]AHny  
   cay = y2 - y1 2'/ ip@  
   cbx = x2 - x3 _p90Zm-3X  
   cby = y2 - y3 g#H#i~E^  
   mo_jj = cax * cbx + cay * cby UZXnABg,J  
   mo_ca = Sqr(cax * cax + cay * cay)
o05) I2  
   mo_cb = Sqr(cbx * cbx + cby * cby) VpD9!;S  
   cos_acb = mo_jj / (mo_ca * mo_cb) 1[^2f70n  
   'ff_cos = cos_acb 6W$k^<S  
   If cos_acb >= 1 Then z*
kn.sW  
   nn = 0 *O+N4tq  
   ElseIf cos_acb <= -1 Then 7gvkd+-*  
   nn = 3.14159265258979
fUE jl  
   Else k%.IIVRx  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) *P9)M%  
   End If "y62Wo6m)  
   'ff_angle = nn qex.}[  
   ff_angle = nn * 180 / 3.14159265258979 zm_mLk$4H  
End Function

'判断点在区域内函数 F
4KXx^~o  
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 ,7
<5dIdZ  
Dim aob, boc, cod, doa, sum As Single ;}1*M !  
  If ppx = p1x And ppy = p1y Then 29}(l#S}m  
     point_in = True h_fA  
     Exit Function #M%-q8  
  End If qm]k (/w  
  If ppx = p2x And ppy = p2y Then {&G0jsA  
     point_in = True 0oc5ahp  
     Exit Function F"~uu9u  
  End If Bv@NE2  
   If ppx = p3x And ppy = p3y Then pWK7B`t  
     point_in = True OZDnU6  
     Exit Function yB,$4:C  
  End If #r>  
    
RCgZ GP  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 0c /xE<h  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) P^T]Ubv"  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) SW# 5px`  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) FUiEayM  
    sum = aob + boc + cod + doa NRgNh5/  
    If 360.01 > sum And sum > 359.99 Then sO,,i]a0  
       point_in = True w+z~Mz}Vz  
    Else L;wzvz\+  
       point_in = False [,yoFm%"  
    End If Gdb6 U{  
End Function

'得到点半径,得到交点坐标函数 Eg$ I  
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() O3x9S,1i  
    '求得中心点坐标 4"at~K` Q  
Dim tt As String j0_)DG  
Dim rt(3) As Single S ( e]@  
    '判断是否平行 0go{gUI  
   acx = p3x - p1x iG
lg@  
   acy = p3y - p1y =ss(~[  
   bdx = p4x - p2x z10J8Ms'  
   bdy = p4y - p2y 1wAD_PI|BH  
   If acx * bdy = acy * bdx Then
?d&l_Pa0e  
      rt(0) = 0 Qu"zzb"k  
      Exit Function %{Ib  
   Else (_1(<Jw  
      '判断斜率存在否 vP;  
      If p1x = p3x And p2x <> p4x Then AAuH}W>n  
         tt = "ac_n_bd_y" rvfS[@>v  
      ElseIf p1x <> p3x And p2x = p4x Then R2,Z`I
 
         tt = "ac_y_bd_n" VC~1QPC9  
      ElseIf p1x <> p3x And p2x <> p4x Then n-P<y  
         tt = "ac_y_bd_y" ?V&#nA  
      End If ?DJ/Yw>>3  
    Select Case tt UZvF5Hoe+O  
         Case "ac_n_bd_y" eO%w i.Q  
            'bd线段方程 @:s(L]  
            k_bd = bdy / bdx = j)5kY`  
            b_bd = p2y - k_bd * p2x 6Uh_&?\%  
            p_x = p1x %j $r"  
            p_y = k_bd * p_x + b_bd bbNN$-S|  
         Case "ac_y_bd_n" =^ZDP1h/}  
            'ac线段方程 HV21=W  
            k_ac = acy / acx g A+p^`;[  
            b_ac = p1y - k_ac * p1x HD%n'@E  
            p_x = p2x }B1f_T  
            p_y = k_ac * p_x + b_ac  KEPNe(H  
        Case "ac_y_bd_y" :#nfdvqm  
           'ac，bd线段都要求 =Vie0TV&h  
           k_ac = acy / acx 6K C
v
 
           b_ac = p1y - k_ac * p1x -qyhg-k6  
           k_bd = bdy / bdx {3Y R_^>?  
           b_bd = p2y - k_bd * p2x d%,@,>>)  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) xB:]{9r  
           p_y = k_ac * p_x + b_ac ;}B6`v  
        End Select E5iNuJj=f  
      rt(1) = p_x E|_J  
      rt(2) = p_y pG&#xRk  
     yRAfIB$T}"  
'计算最大半径 3le$0f:O  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) *(g0{V  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) M
!tR>NMH  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) tn38T%  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) RoFoEp  
Dim bb(5) As Single E[NszM[P  
  bb(1) = rr1 u(W>HVEG  
  bb(2) = rr2 xYp-Y"a.  
  bb(3) = rr3 awB+B8^s  
  bb(4) = rr4 Se}&2 R  
  nb = rr1 %p;;aZG  
For i = 1 To 4 MX7Y1  
    If nb <= bb(i) Then l6T^e@*  
       nb = bb(i) J.(mg D  
    End If LK|1[y^h  
Next i )k[{re  
    rt(0) = Sqr(nb) Suo%uD  
    rr = rt() 7u`:e,'  
  End If H
#H[8#  
         VX:Kq<XwQ  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  ;73{n*a$  

nFjaV`6`@  
有热压工艺方面的人才或者资料分享下； !]MGIh#u  
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 brdY97s4  

高手真多！

楼主威武霸气.